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Round r to six dps. 0.000086 Let u = -6.89 + 6.8417. Let w = u - -0.048254. What is w rounded to five dps? -0.00005 Let g be (-4 + 835/30*2)/((-14)/193704). Round g to the nearest 100000. -700000 Let c = 115169 - 115166.59972. Let h = 2.121 - -0.279. Let k = c - h. What is k rounded to 4 dps? 0.0003 Let q = -17.21 + 0.21. Let r = 19.7 + q. Let m = r + -2.836. What is m rounded to two dps? -0.14 Let m = -19.41 - -19. Let l = 0.35 - m. Let j = -0.729 + l. Round j to two decimal places. 0.03 Let l = 735.0085 - 0.0085. Let g = 734.9999278 - l. Round g to 6 decimal places. -0.000072 Let j = -21859 - -21858.99980627. What is j rounded to 6 dps? -0.000194 Let v be (2/(-4))/((-3)/(-42)) + 856113/(-1). Round v to the nearest 10000. -860000 Let f = -33621151732.99999953 + 33621151874. Let n = f + -141. What is n rounded to 6 dps? 0 Let b(x) = -x - 9. Let s be -7*((1 - -2) + 6/(-3)). Let t be b(s). Let g be ((-24)/14 - t) + 792/(-77). Round g to the nearest integer. -10 Let s = -1149 - -1137.696. Round s to 0 decimal places. -11 Let a = 42147086 - 70126086. What is a rounded to the nearest 100000? -28000000 Let y = 2049 - 1299. Let n = 749.9998439 - y. What is n rounded to five decimal places? -0.00016 Let u be 4/24 - 33077499/(-126). What is u rounded to the nearest ten thousand? 260000 Let i = 33.35739379008 + 333094.66960200992. Let w = 333128 - i. Let s = w - -0.027. What is s rounded to six decimal places? 0.000004 Let v = 38.37175 + -415.55765. Let g = -377 - v. Round g to two dps. 0.19 Let o = 40.6 + -1.6. Let z = -154.49 - -193.49008. Let c = z - o. What is c rounded to 5 dps? 0.00008 Let f = 2.483 - 21.093. Let w = -6.99 - f. Round w to the nearest 10. 10 Let r = -61860.99971341 + 61861. What is r rounded to 6 decimal places? 0.000287 Let t = -38.464 + 38.46385945. What is t rounded to four decimal places? -0.0001 Let r = -610 - -1250. Let x = r + -5950. Round x to the nearest 100. -5300 Let a = 0.333 - -13.667. Let s = -122744.20039 + 122758.2. Let i = s - a. Round i to 4 decimal places. -0.0004 Let x = 1.098 - -774.902. Let i = 775.8185 - x. What is i rounded to 2 dps? -0.18 Suppose -76*p - 1547811 = 32*p + 20172069. Round p to the nearest 1000. -201000 Let l = 25.08948 - -0.03852. What is l rounded to zero dps? 25 Let g(c) = c**3 - 12*c**2 + 4*c - 443100. Let f be g(0). What is f rounded to the nearest one hundred thousand? -400000 Let x = -34.35 - -10.74. Round x to the nearest integer. -24 Let x = -28.31 - -433.41. Let m = 308 - x. Let g = m - -112. What is g rounded to the nearest integer? 15 Let i(g) = -g + 16. Let z be i(15). Let u be 3/6*-24008002 - -4*z. Let j = -13196003 + u. What is j rounded to the nearest one million? -25000000 Let p = -10.189 + 10. Let a = -30.8209097 - -31.0099. Let i = p + a. What is i rounded to six decimal places? -0.00001 Let j(x) = 9*x - 14. Let o be j(3). Let y(f) = -3*f + 41. Let g be y(o). Suppose 0 = -4*m - 2*k - 103990, g*k + k = 15. Round m to the nearest ten thousand. -30000 Let m be 367/3303 + (-41578022)/18. Round m to the nearest 100000. -2300000 Let a = -3526.36 - -3559. Round a to the nearest 10. 30 Let s = -90 - -89.65. Let f = s + 0.2816. Round f to 3 decimal places. -0.068 Let v = -127 + 107. Let n = v - -181. Let j = -160.464 + n. What is j rounded to 2 dps? 0.54 Let p = 0.060395 - -10.648305. What is p rounded to the nearest integer? 11 Suppose 20*o = 22*o - z - 15, -4*o - 3*z + 5 = 0. Suppose o*q = -2370002 - 22629998. Round q to the nearest 100000. -5000000 Let k = -46042.00019473 - -46042. What is k rounded to six dps? -0.000195 Let k = -0.083 - 0.082. Let x = -0.3517 + 0.0997. Let b = x - k. Round b to two dps. -0.09 Let c = 4005.97 - 4028. Let b = 12.64 + c. Round b to the nearest integer. -9 Let y(t) = -7*t + 77. Let u be y(18). Let q be (-10)/(-4)*(13011 + u/7). Suppose -3*s = 5*b - 19525, 6*s + 2*b = s + q. Round s to the nearest one hundred. 6500 Let y = 0.1279427173 + -607.1279110173. Let l = y - -607. Round l to five decimal places. 0.00003 Suppose -6*z - 5*z = 41*z - 297102000. Round z to the nearest 10000. 5710000 Let q = 378.6 - 337. Let l = 41.801 - q. Round l to two decimal places. 0.2 Let z = -473.2 - -434.8. What is z rounded to the nearest ten? -40 Let w be (-1 - 29039655/45)*(11 - -4). Round w to the nearest 100000. -9700000 Suppose 9*h + 46 = 4*h - 4*w, -4*w = 16. Let g be (h - -3879)/((-15)/(-50)). What is g rounded to the nearest one thousand? 13000 Let m = 0.467 + 230.533. Let s = 250761529.5999903 - 250761298.6. Let i = m - s. Round i to six decimal places. 0.00001 Let o = -0.286 + 0.28588855. Round o to six decimal places. -0.000111 Let s = -29285571 - -43758571. What is s rounded to the nearest 1000000? 14000000 Let g = 3.382 + 5.954. What is g rounded to 0 dps? 9 Let y = 109106.348 + -136712.9419. Let z = 27610 + y. Let m = z - -0.0239. What is m rounded to 1 dp? 3.4 Let k = -0.0486902 - -1118.8322902. Let a = k + -1119. What is a rounded to 2 dps? -0.22 Suppose -5*v = g + 9, 10*v = 4*g + 5*v - 14. Let p be ((-40)/(-50))/(((-2)/g)/(-3442500)). Round p to the nearest 1000000. 1000000 Let v = 1025.13 - -132.97. What is v rounded to the nearest 10? 1160 Let j(y) = -152662*y**3 - 6*y + 9. Let k be j(2). Let h = 781299 + k. Round h to the nearest 100000. -400000 Let x = -480 + 477.22. Let d = 2.78000688 + x. Round d to six dps. 0.000007 Let n = -11.268 - -0.168. Let g = -11.0674 - n. What is g rounded to three decimal places? 0.033 Let g(z) = -z**3 + z**2 + 6*z + 40000. Let t be (-2 - (-5 - -3))/1. Let x be g(t). Round x to the nearest 10000. 40000 Let o = 2487 + -1054. Let p = 1432.999998114 - o. Round p to seven dps. -0.0000019 Let o(l) = 6*l**2 - 12*l - 4. Let z be o(-11). Suppose 23*t + 76524 = 29*t. Let j = z - t. What is j rounded to the nearest one thousand? -12000 Let n = 86.254987481 + -86.290284. Let r = n + 284.034066519. Let i = -284 + r. Round i to 4 dps. -0.0012 Let h(a) = 620*a - 29. Let l be h(9). Let n = -4449 - l. Round n to the nearest 100000. 0 Let v be 2588565/(5 + 2)*(-60)/9. Round v to the nearest 100000. -2500000 Let j = -2.48 - 15.72. Let z = j + 13.53. What is z rounded to 1 decimal place? -4.7 Let a = 51 + -48. Suppose 0*u = -a*u + 84600. Suppose -4*q - u = -6*q. What is q rounded to the nearest 1000? 14000 Let q = -34 + 33.9876. Let x = 0.013046 + q. What is x rounded to four decimal places? 0.0006 Let w be (-10 - -12)/(6/23606049). Suppose w = 24*l - 4107317. What is l rounded to the nearest 10000? 500000 Let j = -5.732942 + 551.874042. Let g = j + -546. Round g to two dps. 0.14 Let c = -0.002843596432 - 4870.996667003568. Let y = -4871 - c. What is y rounded to four decimal places? -0.0005 Let c = 20.3586198 - 20.1506. Let k = c - 0.208. What is k rounded to six dps? 0.00002 Let m = -0.0748 + 0.0736481. What is m rounded to five decimal places? -0.00115 Let l = 697 + -362. Let z = 335.0072 - l. What is z rounded to 4 dps? 0.0072 Let s be (893/(-57) - (-11 - 4))*(-275178)/(-4). What is s rounded to the nearest 10000? -50000 Let p = -177.42 + 177.4170495. Round p to four decimal places. -0.003 Let j = -91.889996083 - -91.89. Round j to 6 decimal places. 0.000004 Let j = -1920.6 - -1867. Let s = -46237.4432 + 46291.0431733. Let q = s + j. Round q to 6 dps. -0.000027 Let b = -461.2 + 639. Let n = -16.8 + b. Let j = n - 161.129. What is j rounded to two dps? -0.13 Let k = 42456.32 - 43193. What is k rounded to the nearest 100? -700 Let u = 114 + -160. Let s = 48 + u. Suppose -s*f - 2*y = 1144, -3*f + 6*y - 1702 = 2*y. Round f to the nearest 100. -600 Let u = -4806 - -4797. Let m = -148 + 382. Let i be (m/4 + 3)*(-300)/u. What is i rounded to the nearest 100? 2100 Let j = -26824 + 26824.28016. Round j to 2 decimal places. 0.28 Let p = 14 + -10.2. Let i = p + -3.800001748. What is i rounded to 7 dps? -0.0000017 Let k = 584705 + -1069615. Round k to the nearest one hundred thousand. -500000 Let g = 45492 + -45492.001738. What is g rounded to 3 dps? -0.002 Let v = -711.9 + 711.89. Let l = -6134 - -6133.9899736. Let p = l - v. Round p to 6 decimal places. -0.000026 Let b = -43 + 43. Let a = b + -0.87. Round a to one decimal place. -0.9 Let r = -1637.06 - -1637.06000084803. Round r to 7 dps. 0.0000008 Let g = -106296.351 - -106244. What is g ro
{ "pile_set_name": "DM Mathematics" }
(base 6) in base 3? 2002 What is 266 (base 8) in base 2? 10110110 Convert -1121 (base 7) to base 10. -407 Convert -5 (base 8) to base 13. -5 Convert 2 (base 13) to base 2. 10 What is -6 (base 14) in base 6? -10 103 (base 7) to base 5 202 Convert 20 (base 3) to base 14. 6 -14 (base 6) to base 9 -11 Convert -5a (base 12) to base 7. -130 Convert -120 (base 3) to base 9. -16 What is c (base 14) in base 11? 11 Convert 120 (base 5) to base 4. 203 3 (base 4) to base 7 3 191 (base 16) to base 3 112212 What is 130 (base 4) in base 12? 24 What is -2211 (base 4) in base 12? -119 c8 (base 16) to base 5 1300 -1 (base 7) to base 11 -1 What is -2 (base 12) in base 11? -2 -4 (base 14) to base 13 -4 36 (base 10) to base 11 33 What is -63 (base 8) in base 2? -110011 Convert 44 (base 6) to base 10. 28 Convert 1 (base 4) to base 14. 1 424 (base 6) to base 5 1120 177 (base 14) to base 7 610 1 (base 14) to base 4 1 What is 1 (base 7) in base 2? 1 What is -4 (base 16) in base 10? -4 62 (base 14) to base 8 126 What is 0 (base 13) in base 16? 0 What is 5 (base 12) in base 11? 5 3 (base 13) to base 6 3 What is -101110 (base 2) in base 10? -46 Convert 10 (base 4) to base 9. 4 -2 (base 10) to base 16 -2 Convert 24 (base 12) to base 2. 11100 Convert 1 (base 16) to base 15. 1 4 (base 10) to base 7 4 Convert -42 (base 16) to base 4. -1002 Convert -132 (base 4) to base 8. -36 What is 1201 (base 3) in base 14? 34 Convert -199 (base 10) to base 9. -241 10 (base 2) to base 12 2 0 (base 14) to base 15 0 Convert -1 (base 7) to base 9. -1 -1001 (base 2) to base 8 -11 What is -1 (base 16) in base 2? -1 -2 (base 13) to base 16 -2 What is 11 (base 5) in base 16? 6 What is -234 (base 5) in base 7? -126 What is 94 (base 11) in base 14? 75 What is -2 (base 5) in base 2? -10 Convert -31 (base 6) to base 11. -18 Convert 33 (base 4) to base 6. 23 Convert -1 (base 7) to base 2. -1 3 (base 5) to base 7 3 14 (base 10) to base 15 e -1 (base 5) to base 14 -1 What is -1 (base 3) in base 12? -1 What is -212 (base 4) in base 13? -2c 199 (base 11) to base 12 171 What is 24 (base 14) in base 15? 22 What is 321 (base 11) in base 6? 1442 What is -10 (base 3) in base 2? -11 78 (base 9) to base 8 107 What is -124 (base 10) in base 13? -97 -224 (base 9) to base 5 -1214 160 (base 11) to base 7 355 Convert -2 (base 7) to base 12. -2 Convert 10 (base 3) to base 13. 3 Convert 124 (base 5) to base 15. 29 Convert 80 (base 12) to base 9. 116 Convert -26 (base 11) to base 15. -1d Convert -22 (base 15) to base 12. -28 1 (base 12) to base 8 1 -323 (base 5) to base 6 -224 31 (base 8) to base 10 25 -2 (base 14) to base 3 -2 Convert 22 (base 4) to base 3. 101 What is -130 (base 5) in base 12? -34 Convert -4 (base 13) to base 12. -4 Convert -13 (base 4) to base 11. -7 120 (base 4) to base 10 24 Convert 3 (base 12) to base 14. 3 What is 13 (base 4) in base 15? 7 What is 2 (base 14) in base 5? 2 What is 2 (base 10) in base 3? 2 What is -c (base 13) in base 16? -c What is 23 (base 10) in base 14? 19 -b (base 14) to base 9 -12 1022 (base 4) to base 7 134 What is -30 (base 6) in base 11? -17 What is -60 (base 12) in base 6? -200 -15 (base 10) to base 16 -f What is 19 (base 11) in base 3? 202 Convert -221 (base 9) to base 5. -1211 Convert -512 (base 7) to base 4. -3332 Convert a (base 14) to base 9. 11 Convert 22 (base 5) to base 11. 11 What is -8 (base 9) in base 4? -20 What is -15 (base 12) in base 13? -14 Convert -5 (base 14) to base 6. -5 What is -24 (base 16) in base 12? -30 What is -41 (base 8) in base 12? -29 1 (base 12) to base 16 1 Convert 30 (base 5) to base 13. 12 What is 137 (base 16) in base 9? 375 -1024 (base 5) to base 11 -117 Convert -7a (base 11) to base 15. -5c Convert 2 (base 9) to base 11. 2 Convert -3313 (base 4) to base 6. -1051 Convert 414 (base 5) to base 13. 85 Convert -20 (base 9) to base 4. -102 5 (base 9) to base 6 5 What is -41 (base 13) in base 9? -58 11 (base 2) to base 4 3 Convert -1ac (base 14) to base 16. -15c 0 (base 4) to base 9 0 -57 (base 10) to base 4 -321 21202 (base 3) to base 12 155 What is 4 (base 13) in base 7? 4 Convert 1 (base 15) to base 5. 1 Convert 13 (base 5) to base 6. 12 -10 (base 10) to base 16 -a 1 (base 9) to base 3 1 What is 4 (base 15) in base 14? 4 5 (base 10) to base 15 5 Convert 7 (base 11) to base 8. 7 7 (base 14) to base 8 7 Convert 2 (base 16) to base 13. 2 -40 (base 9) to base 6 -100 2 (base 6) to base 7 2 100 (base 2) to base 14 4 111 (base 7) to base 16 39 Convert -65 (base 10) to base 13. -50 Convert -211 (base 6) to base 3. -2221 What is 2 (base 8) in base 2? 10 What is -11 (base 10) in base 7? -14 -45 (base 14) to base 9 -67 What is 22 (base 6) in base 10? 14 c (base 16) to base 4 30 -3 (base 11) to base 9 -3 135 (base 10) to base 7 252 Convert -22 (base 7) to base 5. -31 Convert 2 (base 3) to base 11. 2 12 (base 5) to base 4 13 What is -1002 (base 3) in base 11? -27 What is -2 (base 4) in base 5? -2 Convert -211 (base 3) to base 13. -19 What is -38 (base 16) in base 8? -70 Convert -5 (base 6) to base 9. -5 What is 6 (base 14) in base 10? 6 Convert -341 (base 6) to base 10. -133 -7 (base 14) to base 11 -7 Convert -1000 (base 3) to base 2. -11011 Convert -1c (base 13) to base 3. -221 What is -323 (base 6) in base 3? -11120 What is 14 (base 6) in base 2? 1010 -69 (base 13) to base 2 -1010111 11 (base 15) to base 2 10000 Convert -2 (base 9) to base 7. -2 What is 51 (base 8) in base 5? 131 What is 3 (base 16) in base 10? 3 -427 (base 8) to base 15 -139 What is -1 (base 13) in base 9? -1 What is -9 (base 13) in base 15? -9 What is 14 (base 7) in base 11? 10 24 (base 12) to base 15 1d What is -17 (base 14) in base 4? -111 Convert -7c (base 15) to base 7. -225 -4 (base 7) to base 6 -4 What is 1111 (base 2) in base 5? 30 Convert 5 (base 11) to base 3. 12 27 (base 13) to base 16 21 -a4 (base 12) to base 6 -324 47 (base 10) to base 9 52 What is 0 (base 15) in base 2? 0 What is 14 (base 8) in base 13? c What is 43 (base 6) in base 13? 21 21 (base 10) to base 12 19 -180 (base 9) to base 14 -ad Convert -32 (base 5) to base 9. -18 252 (base 7) to base 10 135 Convert -133 (base 5) to base 16. -2b Convert -38 (base 9) to base 13. -29 2 (base 7) to base 3 2 Convert -11 (base 12) to base 7. -16 Convert e2 (base 15) to base 6. 552 Convert 23 (base 6) to base 9. 16 -2 (base 14) to base 12 -2 Convert 2 (base 11) to base 5. 2 11 (base 2) to base 14 3 What is -15 (base 12) in base 15? -12 Convert 231 (base 9) to base 14. d8 What is -2201 (base 3) in base 6? -201 -51 (base 8) to base 4 -221 Convert -4 (base 13) to base 11. -4 -6 (base 8) to base 4 -12 2000 (base 3) to base 16 36 -1 (base 6) to base 12 -1 Convert -131 (base 4) to base 6. -45 What is 5 (base 10) in base 16? 5 Convert 321 (base 4) to base 12. 49 What is -122 (base 3) in base 6? -25 Convert -4 (base 6) to base 4. -10 What is 25 (base 6) in base 13? 14 What is -101111 (base 2) in base 8? -57 Convert -1 (base 7) to base 13. -1 -121 (base 3) to base 15 -11 -200 (base 5) to base 14 -38 Convert -121 (base 7) to base 14. -48 What is 5 (base 15) in base 8? 5 Convert -231 (base 7) to base 3. -11110 0 (base 15) to base 4 0 Convert -42 (base 6) to base 16. -1a 41 (base 15) to base 8 75 Convert -4 (base 12) to base 6. -4 What is 102 (base 11) in base 15? 83 Convert -26 (base 8) to base 15. -17 What is -5 (base 11) in base 2? -101 Convert 77 (base 8) to base 9. 70 Convert -100 (base 3) to base 9. -10 What is -10a (base 13) in base 4? -2303 What is -220 (base 4) in base 3? -1111 Convert 9b (base 13) to base 12. a8 What is -26 (base 12) in base 9? -33 Convert 24 (base 5) to base 4. 32 What is -112 (base 4) in base 10? -22 -168 (base 10) to base 5 -1133 -110011 (base 2) to base 15 -36 What is 42 (base 5) in base 3? 211 What is 220 (base 5) in base 9? 66 What is 3 (base 4) in base 12? 3 What is -b (base 16) in base 9? -12 What is -3 (base 15) in base 5? -3 10 (base 3) to base 8 3 What is -5 (base 14) in base 16? -5 What is -1 (base 12) in base 9? -1 Convert 4 (base 7) to base 16. 4 Convert 110100 (base 2) to base 9. 57 What is 121 (base 4) in base 8? 31 Convert 44 (base 10) to base 2. 101100 Convert 1221 (base 3) to base 15. 37 44 (base 5) to base 12 20 -1 (base 16) to base 14 -1 -12 (base 5) to base 14 -7 What is b5 (base 15)
{ "pile_set_name": "DM Mathematics" }
Let q = -793 - -801. Let h(b) = 2*b**2 + 3*b - 5. Let l be h(-4). Suppose 2*x - 2 = 4*i, -5*i - 2*x - l = -7*x. Solve -2*j + 4 = -z + 2*j, 4*j = -i*z - q for z. -4 Suppose 3*l - 2*l = 4. Suppose l = 4*k - 4*g, k = -7*g + 3*g + 21. Solve 25 = -k*i, -4*r = -8*r - 4*i - 28 for r. -2 Let l = -6 - -2. Let w be 6/(-3) - (l + 2). Suppose -v + 2*a + 5 = 0, -v + w*a - a + 17 = 0. Solve 4*o - v = -1, 3*k - 18 = -4*o for k. 2 Suppose 0 = -8*f + f + 105. Solve 3*u + f = 0, -o - 3*u = -6*o - 5 for o. -4 Let x(r) = r - 1. Let o be x(-8). Let p = 11 + o. Let u be p + -2 - (3 - 3). Solve -10 = -5*i, 5*q - 3*i = -u*q - 26 for q. -4 Suppose 21 = 3*y + 4*y. Suppose 4*o - 25 = -w, 0*o = 3*o + 3*w - 21. Solve 3*q + d - 9 = 0, -y*d = -o*d - 9 for q. 4 Suppose h + 24 - 71 = -3*t, 3*t - h = 43. Solve -5*i - l - t = 0, 5*i + 4*l = -l - 15 for i. -3 Suppose 3*i = 2 + 7. Suppose 27 = 10*s - 23. Solve -i*d + d - 4*h + 26 = 0, 3*d = s*h - 16 for d. 3 Let v be 5/(150/20)*(-6)/(-1). Solve 5*c + 40 = -v*z + 7, 2*c = 2*z - 6 for z. -2 Let u = 18 + -16. Suppose -u*p + 11 = -p. Solve -2*h + 9 + 5 = -2*m, -m - p = -3*h for h. 2 Let z(m) = m**2 + 25*m - 79. Let w be z(-28). Solve w*s + 2*i - 19 = 0, -3*i - 25 = -2*s + 2*i for s. 5 Suppose 12*g - 15 - 33 = 0. Solve 0*l + 13 = -g*i - l, -2*i + 1 = -l for i. -2 Suppose -2*v - 12 = 4*a, -2*v + 4*a + a + 33 = 0. Suppose -31 + 39 = v*h. Solve h*r - 7*r + 2*j + 3 = 0, 4 = 4*r - 2*j for r. -1 Suppose 3 = -5*w + 13. Suppose -w*n = -2 + 4. Let z be n/(-2) + (-8)/16. Solve z = 3*m - 15, 0*f - 3*f - 2*m + 4 = 0 for f. -2 Suppose 0*f + 3*f = 27. Let x = f - -23. Solve 5*c - 10 + 43 = -2*y, -3*y = 4*c + x for c. -5 Let f be 1/(2/8) + 2. Suppose -4959*u = -4926*u - 99. Solve -3*k = g + 6, -6*g - k = -u*g - f for g. 3 Let b be 2/1*18/(-12). Let s be b/9 + (-69)/9. Let q(a) = -a**3 - 9*a**2 - 9*a - 3. Let i be q(s). Solve t + 19 = -2*t - 4*g, i*t = -g - 9 for t. -1 Suppose 0*n - 25 = -5*n. Suppose 0*p - n = -p. Suppose -2*v - 3*v = -5*z, z + 2*v - 6 = 0. Solve 23 = -z*u + 3*b, -2*b + 25 = -5*u - p for u. -4 Let t(r) = r - 6. Let s be t(10). Let k = -21 + 23. Suppose -k*o = -o. Solve o = 2*a + s*f - 2*f - 12, -6 = -5*a + 3*f for a. 3 Suppose 2*x = 3*n - 15, -2*n + 4*x + 17 = 5*x. Let w be (n/(7/(-2)))/(-2). Solve -4*k + 5 = -5*r, -4*k - 2 = r - w for k. 0 Suppose 4*o - 5*k - 5 = 12, 5*o - 5*k - 20 = 0. Suppose 3*t + 5 = r, 0 = -2*t + o*r - 3 - 12. Suppose -z + 2 = -t. Solve -4*j + 11 = 5*p, p + z*j = -j for p. 3 Let x(w) = -w**2 + 17*w + 18. Let t be x(18). Suppose t*f + 31 = f. Let q be (2 - -3)*(2 + -1). Solve 0*k = q*j - 4*k - f, 5*k = j - 23 for j. 3 Suppose -4*i = -4*c - 0*c - 208, 2*i = 4*c + 102. Let t = i - 53. Solve 6 - 21 = 3*x + 2*u, -x + 5*u - 5 = t for x. -5 Let w be ((-376)/(-16))/((-2)/4). Let b = 50 + w. Solve 12 = b*y - 7*y, 0 = 2*p - 2*y - 12 for p. 3 Let k be (14/16)/((-40)/(-320)). Solve -5*m - 3*s = 7, m - 3*m + 3*s = k for m. -2 Suppose 0 = -9*z + 4*z + 3*g + 53, -4*z + 42 = -2*g. Suppose z*t - 12*t + 6 = 0. Solve -2*k - 1 = 4*q - 11, -5 = -4*q + t*k for q. 2 Let x = 222 + -217. Let k be 2/4*2 + (13 - 12). Solve 6*j - 20 = -2*t + 2*j, k*t = x*j - 25 for t. 0 Suppose 0 = 17*g + 4*g - 294. Solve -3*c - u = -g + 3, 2*u = -2*c + 10 for c. 3 Let g be (-836)/(-76) + 0 + -8. Solve g*t - t - 5*a - 35 = 0, 5*t = -4*a + 5 for t. 5 Suppose -4*h - 4 + 0 = 0. Let q(w) = w**3 + 2*w**2 - 1. Let o be q(h). Suppose o = -7*x + 5 + 2. Solve -4*d + r + 14 = 0, 2*d + 5*r - 19 + x = 0 for d. 4 Let x be 22/8*1 - (-20)/80. Solve -3*l + l = -r - 9, -x*l + 7 = 5*r for l. 4 Let w = 151 + -267. Let y = -113 - w. Solve -2*j + 4*x = y*x + 5, 2*j - 4*x = -14 for j. -1 Suppose n - 37 = 3*w, 7 = 2*n + 5. Let m be 4/(w/(-9)) + 2. Solve 4*h + 2*q + 18 = q, -m*h - 21 = 2*q for h. -5 Let v(n) = -2*n**2 + 8*n + 58. Let p be v(7). Solve 2*w + 4 = w - 5*s, 0 = -4*w - 2*s - p for w. -4 Let d be (30*5/30)/(-3 - 10/(-3)). Suppose -2*c = -0*c - 6. Solve -c*t + o = -4 - 5, -5*t = 4*o - d for t. 3 Let t be (-12)/54 - (-608)/(-18). Let k = -31 - t. Solve 5*r + 25 = 0, 8*r + 28 = -f + k*r for f. -3 Suppose 6 = -42*w + 44*w. Solve s = -3*j, -w = -j + s + 1 for j. 1 Let q be 5 + ((-8)/(-12)*-3 - -1). Solve -i - q*i - r = -8, 4*i + r - 7 = 0 for i. 1 Suppose 4*f - 3*p - 32 = 0, 5 = -4*p - 11. Solve -a - 3*s - 23 = s, 5*a - f*s - 10 = 0 for a. -3 Let r = 6 + -1. Let p = r - 13. Let l = p + 11. Solve 0 = 5*k - b + 2, 2*b = 3*k - l for k. -1 Let j(z) = -z**3 - 11*z**2 + 26*z + 1. Let d be j(-13). Solve 0*o + o + d = 0, 2*b + 6 = 2*o for b. -4 Suppose -m + 4*m - 15 = 0. Let a(p) = 49*p + 2. Let d be a(-1). Let n = d + 51. Solve m*b = -4*l - 4, 0 = -5*l + n*b - 5 for l. -1 Let k(v) = -v**3 - 7*v**2 - 5*v - 3. Let g be k(-6). Let y be (3/2)/(g*8/(-144)). Solve -4*b = -4, -b = -4*d - y*b + 18 for d. 4 Suppose 9 = 2*g + g. Suppose s + 3*k = 2*s - 3, k - 15 = -5*s. Solve 0 = -2*n + s*n + 2*i, -i + g = -n for n. -2 Suppose -3*n + 7*n = 60. Suppose 0 = z - 6*z + n. Solve u + 24 + 0 = -5*q, -z*u - 28 = 4*q for q. -4 Suppose 0 = -5*y + 11 + 29. Let o be (3/2)/((-6)/y). Let l(t) = t**2 - 1. Let b be l(o). Solve -11 = -i - 4*h + b, 8 = 2*i + 3*h for i. -2 Suppose -411*c + 406*c = -20. Solve j = -1, -11 = -3*o - 2*j + c*j for o. 3 Let q = -631 - -633. Solve 0 = -s - 0*s - 2*w + 8, -q*w = -6 for s. 2 Let h be (3 - 9) + 8 + 6/3. Solve 4*s - 5 - 3 = -h*l, 0 = -3*l - 4*s + 10 for l. -2 Let u be (-60)/(-36)*(-3)/(-1). Solve d + l = -2*l - 9, 0 = u*d - 3*l - 27 for d. 3 Let s(z) = z**2 - 13*z + 5. Let c be s(12). Let h = c - -12. Let b = 5 - h. Solve 0 = 3*y - 4*j + 3*j - 10, 4*y - 5*j - 28 = b for y. 2 Let y be 6/(-27) + 76/18. Let d(i) = -i**2 + 4. Let c be d(0). Solve -25 = 5*o, c*q + 2 = -y*o - 6 for q. 3 Let r = -171 + 185. Solve -1 = 5*v + 4, r = 5*f - 4*v for f. 2 Let l be -1*(-4)/(-2) - -4. Suppose -48 = -8*p + 2*p. Let f(t) = t**3 - 9*t**2 + 7*t + 17. Let n be f(p). Solve -l*g = -v - 4*g + 3, -v + 4*g = n for v. -1 Suppose 9*h - 12 = 6*h. Suppose -2*f + 41 = d + 5, -h*d = -5*f - 92. Solve -3*y - 3 = 5*c, 4*c + 4*y + d = 8*y for c. -3 Suppose -2*c + 9 = -2*r + 5*r, 2*c = 3*r - 9. Suppose c = 5*n - 72 - 53. Solve 4*j - 4*x + 2 = -22, -n = 5*j - 4*x for j. -1 Let p = 2095 + -2086. Solve 2*a + 13 - 1 = -4*c, -a + c + p = 0 for a. 4 Let j(n) = -4*n**2 - 14*n - 4. Let i be j(-3). Let y = -2 - -4. Suppose -h - p = y*p - 21, i*h - 5*p = -2. Solve -x + 10 = 5*g, -x = -2*x - 4*g + h for x. 5 Let o = -22 - -40. Suppose 16 = 2*i - 28. Let j = i - o. Solve -j*u - 16 = 0, -24 = -2*p + 7*u - 2*u for p. 2 Suppose 0 = -2*d - 3*o - 3, -48*o + 3 = -49*o. Solve 0 = -3*k + d*n - 6*n, -15 = -3*n for k. -5 Suppose -4*f - 2*y = 102, 3*y = -4*f - 4 - 93. Let l be (-48)/f - 4/(-14). Solve 5*t + 4*p + 10 = -3, l*t + 13 = p for t. -5 Let c = 408 - 403. Solve 5*d - 9 = 3*r, 0 = -5*d + r - c*r - 12 for d. 0 Let k be 1/(-10 - 561/(-55)). Solve -4*x + y = 8, y = k - 1 for x. -1 Suppose 5*z - 15 = -2*h - 3*h, 0 = -4*z. Let g = -27 + 48. Suppose -4 = c - g. Solve h*d = -2*q + c, d + q + 2*q - 8 = 0 for d. 5 Let c be (-22)/(-10) - (-3)/(-15). Let i be c - 0/(5 + -2). Let t be (-28)/(-63) - (-770)/90. Solve 4*h - i*z = -z - t, -h + 4*z = 21 for h. -1 Suppose -m - 2*j - 18 = 2*j, -2*m - 3*j = 11. Suppose -3833 = -9*b - 3797. Suppose -2*p + 4 = -2. Solve -p*k - 5*q = 0, m*q - q = -b*k for k. 0 Suppose -3*d + 0 = -3. Let b be ((-48)/128)/(9/(-48)). Solve -m + 7 = -x + b, 5*x = -3*m - d for m. 3 Suppose 2*d = -7*d + 90. Solve -3*x + 5*j - d - 14 = 0, 0 = 5*x + 2*j + 9 for x. -3 Let w be ((-31)/2)/(4/(-40)). Suppose 5*b = 5*a + w, 3*a = -a + 5*b - 127. Let o = -25 - a. Solve 2*m = -10, 5*y + m = y + o for y. 2 Suppose -4*b - 4*u + 59 = -b, u + 22 = b. Suppose 4*t = t + b. Solve -3*n + 4*i - 3*i + t = 0, i = -3*n + 17 for n. 4 Let y = 0 - -2. Let b = 3 - 3. Solve b = w - y*w - 4*k + 10, 0 = 4*w - 3*k - 2 for w. 2 Let p be (12/(-5))/(2/(-5)). Let b(k) = -k**3 + 8*k**2 - 12*k + 6. Let o be b(p). Solve 2*n + 24 = 4*m - 2*n, -5*n + o = 4*m for m. 4 Suppose -71*n - 75 = -96*n. Solve 3 = 2*i - d, 0 = 2*i - 0*i - n*d - 1 for i. 2 Suppose 0 = -2*w - 10, -3*v - 6*w = -4*w - 8. Solve v = -4*o + 3*j, 5*j - 1 = o + 9 for o. 0 Suppose 0 = 2*z + 5*l + 2, 2*l - 6 = -3*z - l. Solve 0 = 5*f + z*r + 5, -r = -4*f - 5*r for f. -5 Suppose d + 3
{ "pile_set_name": "DM Mathematics" }
2/3*l**4 + k*l**5 + 1/3*l**3 + 0 + 0*l = 0. -1, 0 Let z(l) be the third derivative of -16*l + 0 + 3*l**3 - 1/20*l**5 - 1/8*l**4 + 6*l**2. Solve z(p) = 0 for p. -3, 2 Suppose 56 = -65*g + 58*g. Let l be 1 - 6/30 - g/(-20). Suppose -4/5*n**3 - 2/5*n**2 + 0 + l*n**4 + 4/5*n = 0. What is n? -1, 0, 1, 2 Let h = -106391 - -106395. Factor -27/11*t**5 + 0*t + 0 - 56/11*t**h - 2/11*t**2 - 31/11*t**3. -t**2*(t + 1)**2*(27*t + 2)/11 Let v be 15 + 2*(-1 - -2). Let j(g) = g**3 - g**2 - 5*g + 2. Let f be j(3). Factor -8*b + 60*b**3 + 40*b + v + 116*b**2 - f + 36*b. 4*(b + 1)*(3*b + 1)*(5*b + 3) Factor 21*z + 514*z - 16665*z**2 + 33317*z**2 - 16662*z**2. -5*z*(2*z - 107) Let j = -338 - -342. Factor -1 + v**2 - v - 15 + 10 - j*v. (v - 6)*(v + 1) Let g be (-2)/(-5) - 9374/(-215). Suppose -12*v - 85*v**2 + 14*v + g*v**2 + 43*v**2 = 0. What is v? -1, 0 Let u(s) = -3*s**2 - 14*s + 82. Let h be u(-8). Suppose 16 = -h*g - 4*l, 20 = g + g - 5*l. Factor -9/5*q**3 + g - 9/5*q**2 - 3/5*q - 3/5*q**4. -3*q*(q + 1)**3/5 Let z(w) = -w**3 - 4*w**2 - 3*w - 1. Let j be z(-2). Let x be (0 - (0 + j))/((-6)/(-100)). Factor 43 + 5*g**2 + x - 5*g - 103. 5*(g - 2)*(g + 1) Let i = -821 - -850. Solve -i*g**2 - 33*g**2 + 10*g + 67*g**2 - 75 = 0. -5, 3 Let z be 16/4 - (-3400)/15*1. Let a = 231 - z. Factor -4/3*x**2 - 1/3 - 7/6*x + 1/3*x**4 + 1/6*x**5 - a*x**3. (x - 2)*(x + 1)**4/6 Let a(i) be the third derivative of 1/30*i**6 - 10*i**3 + 0*i + 7/6*i**4 - 38*i**2 + 0 + 7/15*i**5. Factor a(w). 4*(w - 1)*(w + 3)*(w + 5) Let t = 251451 - 1256891/5. Factor -36 + t*k - 188/5*k**2 + 4/5*k**3. 4*(k - 45)*(k - 1)**2/5 Let v be 60/9*(-54)/465. Let b = v - -230/217. Solve -2/7*c**2 + b - 8/7*c + 8/7*c**3 = 0 for c. -1, 1/4, 1 Suppose 0 = 60*b - 577 + 157. Let q(c) = -3*c**2 + 362*c - 11165. Let t(n) = -9*n**2 + 1084*n - 33496. Let s(w) = b*q(w) - 2*t(w). Factor s(g). -3*(g - 61)**2 Let d(r) be the first derivative of 16*r**3 + 83*r**2/2 - 26*r - 67. Let t(o) = -47*o**2 - 82*o + 24. Let p(x) = -2*d(x) - 3*t(x). Let p(y) = 0. Calculate y. -2, 2/9 Suppose 7*z - 395 = -115. Let r be (2 - 1)/(-5*(-4)/z). Factor -6*k**3 - 1 - 11*k**4 - 12*k + 14*k**4 + 1 - 21*k**r. 3*k*(k - 4)*(k + 1)**2 Let c(t) be the second derivative of t**4/28 + 27*t**3/14 + 39*t**2 + 1221*t. Factor c(n). 3*(n + 13)*(n + 14)/7 Let c be 121/2 + -2 + (-15)/(-6). Suppose -37 + c = 12*w. Factor 2/7*m**4 - 2/7*m + 2/7*m**3 + 4/7 - 6/7*m**w. 2*(m - 1)**2*(m + 1)*(m + 2)/7 Let i(f) be the second derivative of -f**7/42 + 76*f**6/15 + 219*f**5/4 + 1421*f**4/6 + 1586*f**3/3 + 636*f**2 - 4607*f. Solve i(d) = 0. -2, -1, 159 Let h(o) be the third derivative of -o**8/2688 - 29*o**7/5040 - o**6/72 + 5*o**4/4 + 2*o**2 + 32*o. Let g(p) be the second derivative of h(p). Factor g(c). -c*(c + 5)*(5*c + 4)/2 Let -543*k + 275 + 230*k**3 - 660*k**2 - 87*k + 1540*k**4 - 1555*k**4 = 0. What is k? -1, 1/3, 5, 11 Suppose 29*c - 30 = 19*c. What is z in 624*z + 101*z**c + 127*z**3 + 48*z**4 + 536*z**2 + 3573*z**5 - 3569*z**5 + 288 = 0? -3, -2 Let n(v) = v**4 - 2*v**3 + v**2 - v + 1. Let a(q) = -2*q**5 + 2*q**4 - 2*q**3 + 6*q**2 - 8*q + 4. Let s(g) = -a(g) + 4*n(g). Factor s(p). 2*p*(p - 1)**2*(p + 1)*(p + 2) Let c(o) = -5*o**2 + 464*o + 924. Let t(p) = -2*p**2 - 4. Let h(d) = -3*c(d) + 6*t(d). Factor h(k). 3*(k - 466)*(k + 2) Let v(t) be the third derivative of t**7/2625 + 131*t**6/1500 + 2111*t**5/375 - 77*t**4/5 - 2904*t**3/25 + 2*t**2 - 1818*t. Solve v(u) = 0. -66, -1, 2 Suppose 2/5*p**3 + 624/5 + 308/5*p + 46/5*p**2 = 0. What is p? -13, -6, -4 Let f be (-85)/119*448/(-160). Solve -3/5*k**f + 21/5 + 18/5*k = 0. -1, 7 Factor -14/5*h**2 - 2/5*h**3 + 0*h + 72/5. -2*(h - 2)*(h + 3)*(h + 6)/5 Let l(j) be the second derivative of 216*j**2 + 1/80*j**5 + 3/4*j**4 - 2*j - 50 + 18*j**3. Factor l(y). (y + 12)**3/4 Let s(r) = -22*r**2 + 200*r - 178. Let l(y) = -5*y**2 + 50*y - 45. Let d(n) = n**2 + 17*n + 51. Let t be d(-5). Let o(k) = t*l(k) + 2*s(k). Factor o(p). (p - 49)*(p - 1) Let x = 23073 - 46137/2. Factor -8 + 18*w - 14*w**2 + x*w**3 - 1/2*w**4. -(w - 4)*(w - 2)**2*(w - 1)/2 Suppose -77*y + 248*y - 83*y - 78*y = 0. Let q(s) be the first derivative of 0*s**2 + 1/28*s**4 + y*s + 13 - 2/21*s**3. Suppose q(k) = 0. Calculate k. 0, 2 Let u(b) be the first derivative of 1/60*b**5 + 12*b + 1/3*b**2 + 12 + 1/9*b**4 + 5/18*b**3. Let w(i) be the first derivative of u(i). Solve w(z) = 0. -2, -1 Let l(m) be the third derivative of -m**8/56 + 13*m**7/70 - 3*m**6/5 + m**5/20 + 7*m**4/2 - 6*m**3 + m**2 - 89. Solve l(z) = 0 for z. -1, 1/2, 2, 3 Let k = -1 - -3. Let d be 92/22 - (-6)/(-33). What is n in d*n**3 - 12*n - 19*n**k + 4 + 4 + 19*n**2 = 0? -2, 1 Let r = 281 + -278. Factor -c**4 + 0*c - 7*c**r + 3*c**2 - 14 + 0*c**4 + 19*c. -(c - 1)**2*(c + 2)*(c + 7) Let r = 95 + -87. Suppose -22*x = -17*x - 10. Find p, given that -2 + 2*p - 4*p + 6*p - x*p**2 + r = 0. -1, 3 Let s(p) be the third derivative of p**6/900 + 11*p**5/5 + 5445*p**4/4 + 531*p**2 + p. Let s(t) = 0. What is t? -495, 0 Let m = -36 - -38. Factor 75*r**m - 35*r**3 - 18*r**4 + 8*r**3 + 6*r**2 + 9*r**4 + 3*r**5. 3*r**2*(r - 3)**2*(r + 3) Let -77/2*i - 1/4*i**4 + 3/4*i**2 - 26 + 13*i**3 = 0. What is i? -1, 2, 52 Let d(n) = 6*n**3 + 9*n**2 + 3*n - 18. Suppose 4*m - 9*m - 45 = 0. Let w(u) = 3*u**3 + 4*u**2 + 2*u - 9. Let r(x) = m*w(x) + 5*d(x). Factor r(t). 3*(t - 1)*(t + 1)*(t + 3) Let g(z) be the second derivative of z**7/49 - 151*z**6/105 + 24*z**5/35 + 50*z**4/21 + 7938*z. Solve g(t) = 0. -2/3, 0, 1, 50 Suppose -2*x = 3*r - 6*r - 25, 30 = 3*x - 3*r. Let -3*g**3 - 3*g**3 + 10*g**3 + 12*g**3 - 11*g**x - 20*g**4 + 15*g**5 = 0. What is g? 0, 1, 4 Let q(k) = -158*k - k**2 - 3 + 3 - 3*k**2 + k**4 + 3*k**2 + 146*k**3. Let p(y) = 144*y**3 - 160*y. Let m(w) = 3*p(w) - 4*q(w). Factor m(b). -4*b*(b - 1)*(b + 1)*(b + 38) Let m(j) be the first derivative of 50*j**3/21 + 46*j**2/7 - 16*j/7 + 308. Factor m(d). 2*(d + 2)*(25*d - 4)/7 Solve -2/21*i**4 - 21600/7*i - 184/21*i**3 - 1920/7*i**2 - 36000/7 = 0 for i. -30, -2 Let h(w) be the first derivative of 4*w**3/27 - 50*w**2/3 - 540. Factor h(o). 4*o*(o - 75)/9 Let y(g) be the second derivative of -52/9*g**3 - 1352/3*g**2 - 3*g - 1/36*g**4 - 7. Factor y(b). -(b + 52)**2/3 Suppose 5*a + 3 = 23. Let h be -2 + a + -2 - -2. Factor -2 - 2*n**2 + h*n**2 + 2*n**2. 2*(n - 1)*(n + 1) Let c = 51 - 42. Let a be 30/c - (-32)/(-24). Factor 48*y - 21*y + 29*y + 196 + 4*y**a. 4*(y + 7)**2 Let u(s) be the third derivative of -1/240*s**5 + 23/96*s**4 + 0 + s**3 + 0*s - 34*s**2. Suppose u(a) = 0. Calculate a. -1, 24 Let a be (236 + -244)/(4*-1). Factor -8/3*u**a - 10/3*u + 2*u**3 + 4/3. 2*(u - 2)*(u + 1)*(3*u - 1)/3 Let a be -1*2 + 10 + (-708652)/88578. Let f = a - -8438/6327. Factor -4/3*v**2 + 0*v**3 + 0*v + 0 + f*v**4. 4*v**2*(v - 1)*(v + 1)/3 Let i = -18634815/23 + 810211. Suppose -2/23*d**3 + 0 + 40/23*d + i*d**2 = 0. What is d? -1, 0, 20 Let h(p) be the third derivative of -p**6/2520 + p**5/140 - 5*p**4/168 - 46*p**3/3 - 128*p**2. Let b(g) be the first derivative of h(g). Factor b(l). -(l - 5)*(l - 1)/7 Let a = -35 - -31. Let x(s) = 2*s + 11. Let t be x(a). Determine g so that 17*g**3 - 20*g**4 + 6*g**3 - 14*g**3 + 7*g**t = 0. 0, 4/5 Let x(n) = -3*n**2 - 98*n - 792. Let q be x(-18). Let w be 60/25*(-1)/(-3). Factor w*u**4 + 12/5*u**3 + 8/5*u + q - 4*u**2 - 4/5*u**5. -4*u*(u - 1)**3*(u + 2)/5 Let d(q) be the second derivative of -q**5/4 - 25*q**4/4 - 110*q**3/3 - 2*q - 906. What is y in d(y) = 0? -11, -4, 0 Factor 22*g - 212 - 98 + 78 - g + 3*g**2 - 2*g**2. (g - 8)*(g + 29) Solve 6744/7*t + 5685192/7*t**2 + 2/7 = 0. -1/1686 Suppose 1485/4 + 1/4*p**2 + 151/2*p = 0. What is p? -297, -5 Let u = -180/11 + 1091/66. Let r(z) be the first derivative of 1/2*z**4 - 4/9*z**3 + 1/18*z**6 - 17 + 0*z + u*z**2 - 4/15*z**5. Factor r(b). b*(b - 1)**4/3 Let g = -248 - -250. Solve 30*u**4 - 83*u**2 - 3*u + 41*u**g + 12*u**2 + 3*u**3 = 0 for u. -1, -1/10, 0, 1 Let u = 5137 - 5135. Factor -2/3*t**u - 4/3 - 7/3*t + 1/3*t**3. (t - 4)*(t + 1)**2/3 Let f(p) be the second derivative of 0*p**2 - 84*p + 0 + 0*p**3 + 0*p**4 - 1/10*p**5 - 1/6*p**6. Determine r, given that f(r) = 0. -2/5, 0 Let m(p) be the first derivative of -p**5/45 - 2*p**4/3 - 6*p**3 - 141*p**2/2 + 162. Let y(q) be the second derivative of m(q). F
{ "pile_set_name": "DM Mathematics" }
at 0 + 0*z - 18/5*z**4 - 8*z**3 - 24/5*z**2 - 2/5*z**u = 0. -6, -2, -1, 0 Let b(z) = -105*z**4 + 45*z**3 + 258*z**2 - 45*z - 51. Let h(a) = -2*a**4 + 5*a**2 - 1. Let r(c) = -b(c) + 51*h(c). Factor r(i). 3*i*(i - 15)*(i - 1)*(i + 1) Let w(h) be the first derivative of -h**6/270 + 13*h**5/1080 - h**4/216 - 28*h**3/3 - h**2/2 + 50. Let s(y) be the third derivative of w(y). Factor s(o). -(o - 1)*(12*o - 1)/9 Let n be ((-17)/4 + 2/(-8))*-6. Suppose -4 = 25*s - n*s. Solve 46*d**s - 44*d**2 - 3*d**3 + 8*d**5 - 7*d**5 = 0 for d. -2, 0, 1 Let p be 9/(-6) - 15/(-2). Factor 334*b**4 - 60*b - 329*b**4 - 40*b**2 + p*b**3 - b**3. 5*b*(b - 3)*(b + 2)**2 Let j(v) be the third derivative of -v**6/144 - 4*v**5/45 - 19*v**4/48 - v**3/2 - 3332*v**2. Solve j(m) = 0 for m. -3, -2/5 Let g(l) be the third derivative of -2*l**2 + 2/27*l**4 + 0*l**3 + 1/90*l**6 - 1/945*l**7 + 39*l - 2/45*l**5 + 0. Factor g(n). -2*n*(n - 2)**3/9 Suppose 31 - 23 = 3*b + w, -5*w = -b + 8. Let l be (-2)/(-6) - b/108*-15. Factor -3/4*f**2 + l*f + 0. -3*f*(f - 1)/4 Let t(l) be the third derivative of 0*l**4 + 0 + 0*l + 1/126*l**7 - 107*l**2 + 0*l**5 + 0*l**3 + 7/72*l**6. Solve t(p) = 0 for p. -7, 0 Let p(m) be the first derivative of m**7/1120 - 9*m**6/160 - 7*m**5/40 + 97*m**3/3 - 2*m - 186. Let i(g) be the third derivative of p(g). Factor i(a). 3*a*(a - 28)*(a + 1)/4 Let z(l) be the first derivative of -l**4/34 - 80*l**3/51 - 77*l**2/17 - 76*l/17 - 2348. Suppose z(r) = 0. Calculate r. -38, -1 Let i = -19 - -81. Let z = 89 - i. Factor -15 + 87 + 3*k**4 + z*k**3 + 132*k + 26*k**2 + 64*k**2. 3*(k + 2)**3*(k + 3) Let r(w) = -24*w**3 - 2*w**2 + w - 1. Let m(o) = -95*o**3 - 26*o**2 + 112*o - 220. Let a(f) = -5*m(f) + 20*r(f). Factor a(z). -5*(z - 6)**3 Let o(v) be the third derivative of -v**6/120 - v**5/6 + 29*v**4/8 - 24*v**3 - 2*v**2 + 391*v. Factor o(y). -(y - 3)**2*(y + 16) Let -8*t**2 + 30*t**5 - 16*t**3 - 1061*t - 10*t**4 + 1061*t - 32*t**5 = 0. What is t? -2, -1, 0 Let f(s) be the first derivative of -s**5/30 - s**4/3 - s**3 - s**2 + 5*s - 84. Let n(h) be the second derivative of f(h). Factor n(p). -2*(p + 1)*(p + 3) Let r be (((-9)/10)/9)/((3/(-30))/(30/60)). Find q such that -1/2*q**3 - 1/4*q**2 + 0 + r*q + 1/4*q**4 = 0. -1, 0, 1, 2 Suppose 592/5*v - 4/5*v**4 - 148/5*v**3 + 168/5*v**2 - 608/5 = 0. What is v? -38, -2, 1, 2 Let n = 5140949/7 + -734419. Factor -4/7*f**2 + 12 + n*f. -4*(f - 7)*(f + 3)/7 Let m = -3468 - -3468. Let l(h) be the third derivative of -7/66*h**4 - 19/330*h**5 + 0*h - 19*h**2 - 1/11*h**3 - 2/165*h**6 + m. Solve l(u) = 0. -1, -3/8 Let g(w) = -3*w**5 + 125*w**4 - 2*w**2 + 4*w. Let v(z) = -3*z**5 + 126*z**4 - 3*z**2 + 6*z. Let a(y) = -3*g(y) + 2*v(y). Factor a(u). 3*u**4*(u - 41) Let u(f) be the first derivative of -14*f**3/15 - 37*f**2/5 - 4*f - 1931. Factor u(m). -2*(m + 5)*(7*m + 2)/5 Suppose 5*j + 3*m - 69 = 0, -4*m - 25 + 49 = -68. What is t in -1/2*t**5 + 5*t**4 + 0 + 0*t**2 + j*t - 25/2*t**3 = 0? 0, 5 Let s(f) be the first derivative of 215 + 3/34*f**4 + 2/17*f**3 + 1/17*f**2 + 0*f + 2/85*f**5. Factor s(n). 2*n*(n + 1)**3/17 Let l(u) be the third derivative of -3*u**5/20 - u**4/8 + 25*u**3/6 + 61*u**2. Let r(i) = -9*i**2 - 3*i + 24. Let w(y) = -6*l(y) + 5*r(y). Factor w(v). 3*(v + 2)*(3*v - 5) Let y(d) = 63*d**2 - 1372*d - 235298. Let f(g) = 25*g**2 - 686*g - 117649. Let t(o) = 5*f(o) - 2*y(o). Suppose t(l) = 0. What is l? -343 Suppose -4*z - 6 = 3*y, 4*z + 240*y - 8 = 244*y. Let z - 2/5*k - 2/15*k**2 = 0. Calculate k. -3, 0 Let j = 16 + -14. Suppose -i + 2 = -3*n, -j*i + 3*i - 2*n = 2. Determine c so that -6*c + 131 - 99 + i*c**2 - 10*c + 0*c = 0. 4 Let n = 288800/3 + -96265. Let 35/3*j**2 + 0*j + 5/3*j**5 - 5*j**4 - n*j**3 - 20/3 = 0. Calculate j. -1, 1, 2 Let p(v) be the second derivative of 0 + 0*v**3 + 1/30*v**5 + 1/12*v**4 + 13*v**2 + 15*v. Let a(n) be the first derivative of p(n). Factor a(c). 2*c*(c + 1) Let m be -7 + 9 - (1/3)/((-12)/(-72)). Let t = -4/63 - -71/126. Factor t*o**2 - 2*o + m. o*(o - 4)/2 Find q, given that -8100*q - 8315 - 180*q**3 + 5173 - 6983 - 1144*q**2 - 73*q**2 - 5*q**4 - 853*q**2 = 0. -15, -3 Let w(f) be the third derivative of 0 - 1/420*f**7 - 1/672*f**8 + 1/24*f**4 + 1/80*f**6 + 0*f + 0*f**3 + 1/24*f**5 - 117*f**2. Let w(y) = 0. Calculate y. -1, 0, 2 Let p(u) be the third derivative of -u**7/5040 - u**6/360 - u**5/60 + 7*u**4/8 + 19*u**2 - 2. Let g(h) be the second derivative of p(h). Factor g(s). -(s + 2)**2/2 Let n(d) = -968*d**2 - 4. Let a be n(1). Let b be (-4)/(-6)*a/(-48). Factor -9/2*w - b - 3/8*w**2. -3*(w + 6)**2/8 Suppose 4*q - 3*z = 9, 0*z = -3*q + 2*z + 7. Factor 3*l**2 - 5*l**4 + 10*l**3 + q*l**2 - l**2 - 10*l. -5*l*(l - 2)*(l - 1)*(l + 1) Let i be -70*3/(75/(-10)). Let 6*d**2 + 20*d - 2*d**3 - i*d + d**3 = 0. Calculate d. 0, 2, 4 Suppose -12*s = -0*s - 20*s + 48. Let p(d) be the second derivative of 1/3*d**4 + d**3 - 1/5*d**s + d**2 - 1/5*d**5 + 0 - 24*d - 1/21*d**7. Solve p(j) = 0. -1, 1 Let d(z) = 21*z**2 - 240*z - 4776. Suppose -261*w + 260*w = -1. Let v(s) = -2*s**2 - 2. Let m(o) = w*d(o) + 12*v(o). Factor m(a). -3*(a + 40)**2 Let a(i) be the first derivative of -i**5/4 - 35*i**4/8 + 65*i**3/4 + 385*i**2 - 2420*i - 6631. Determine c, given that a(c) = 0. -11, 4 Let n(o) be the third derivative of -1/6*o**4 - 2/15*o**5 + 0 + 0*o + 170*o**2 + 4/3*o**3 + 1/30*o**6. Factor n(t). 4*(t - 2)*(t - 1)*(t + 1) Let m = 54841/40 - 1371. Let t(a) be the third derivative of -a**3 - 1/8*a**4 + m*a**6 - 3/70*a**7 + 0 + 0*a + 1/4*a**5 - 14*a**2. Let t(l) = 0. What is l? -1, -2/3, 1 Let z(o) be the third derivative of -1/10*o**5 + 0*o**3 + 0*o + 1/40*o**6 - 35*o**2 + 0 + 1/8*o**4. Factor z(m). 3*m*(m - 1)**2 Factor 903168/5 + 2688/5*l + 2/5*l**2. 2*(l + 672)**2/5 Factor -9/7*d - 3/7*d**2 - 5/7 + 1/7*d**3. (d - 5)*(d + 1)**2/7 Factor 512*d + 68*d**3 + 897 + 2*d**4 - 2494 + 897 + 354*d**2 + 924. 2*(d + 1)**2*(d + 4)*(d + 28) Suppose 0 = -3*j - 3*c + 63, -5*j + 314 = -3*c + 257. Let g(a) be the first derivative of -35/2*a - 5/6*a**3 + 10*a**2 - j. Solve g(r) = 0 for r. 1, 7 Let o = 59951/10 - 5995. Let w(l) be the second derivative of o*l**2 - 2/15*l**3 + 1/10*l**4 - 1/25*l**5 + 6*l + 1/150*l**6 + 0. Solve w(p) = 0. 1 Suppose -5*o = -2*t - 20, 7*o = 3*o - 5*t + 49. Determine h, given that 83 - 40 + 14*h**2 - 41 + o*h**3 + 10*h = 0. -1, -1/3 Let b(z) = 7*z**3 - 500*z**2 + 702*z - 138. Let p be b(70). Find m, given that -12/5 + 2/15*m**3 + 14/5*m - 16/15*m**p = 0. 2, 3 Suppose 6 = 2*c + 2. Factor -39*m**c - 32*m + 28*m**2 + 28 - 4*m + 19*m**2. 4*(m - 1)*(2*m - 7) Let k(g) = g**3 + 2*g**2 - 70*g - 71. Let a be ((1 - 1) + (4 - 2))/(-2). Let m be k(a). Factor m - 27/4*v**2 - 3*v**4 + 9*v**3 + 0*v. -3*v**2*(2*v - 3)**2/4 Let y(t) be the second derivative of t**4/6 - 155*t**3/3 - 156*t**2 - 7*t - 158. Factor y(q). 2*(q - 156)*(q + 1) Suppose 18*y = -11*y + 203. Let s(q) = 11*q**4 - q**3 - 6*q - 12. Let l(j) = -13*j**4 + j**3 + j**2 + 7*j + 14. Let k(h) = y*s(h) + 6*l(h). Factor k(r). -r**2*(r - 2)*(r + 3) Factor 316*u + 22*u**2 + 12482/11. 2*(11*u + 79)**2/11 Let f = -105268 + 2000524/19. Find o, given that 50/19 + 792/19*o**3 - 348/19*o**2 - 70/19*o - f*o**4 = 0. -1/3, 1/2, 5/6 Let y be 2/(2 - -2)*6. Let p(g) = -16*g - 542. Let m be p(-34). What is n in 279*n - 1 + 3*n**m + 6 - 288*n + n**y = 0? -5, 1 Let m(i) = -3*i**2 + 12*i. Let x be m(4). Suppose -4*r + 20 = 5*c, 2*c + c = x. Factor 2*t**2 - 2*t**r - 5*t**3 + 2*t**5 - 2*t**4 + 5*t**5. t**2*(t - 1)*(t + 1)*(5*t - 2) Let i = -25443 + 25446. Let q(f) be the third derivative of 2/3*f**i + 5/12*f**4 + 0*f + 0 - 21*f**2 + 1/10*f**5. Determine p so that q(p) = 0. -1, -2/3 Let r(h) be the first derivative of -2*h**3/7 + 726*h**2/7 - 4302*h/7 - 2527. Factor r(v). -6*(v - 239)*(v - 3)/7 Let u(s) be the third derivative of 0*s - 9/50*s**5 - 3/200*s**6 + 1/560*s**8 + 16*s**2 - 1 + 0*s**4 + 0*s**3 + 2/175*s**7. Let u(j) = 0. Calculate j. -3, 0, 2 Let x(z) be the second derivative of 1/80*z**5 + 0 + 0*z**2 - 16*z + 1/48*z**4 + 0*z**3. Let x(g) = 0. What is g? -1, 0 Factor 1/9*d**3 + 16810/9 + 287/3*d - 8*d**2. (d - 41)**2*(d + 10)/9 Let n = -76256 + 381281/5. Factor -1/5*o**2 + 1/5 + n*o**3 - 1/5*o. (o - 1)**2*(o + 1)/5 Suppose -2*m = -5*w + 20, -m = -2*m. Suppose -2*p + 3*v = w*v - 3, -p +
{ "pile_set_name": "DM Mathematics" }
k + 2. Let o be j(0). Put t, o, 2/19 in descending order. t, o, 2/19 Let m = 0.0167 - 47.9167. Let d = -48 - m. Sort -2, d, -1/4 in ascending order. -2, -1/4, d Let l be (-4 + 3)/(84/20 + -4). Let u = 7 - 1. Suppose 0 = -5*q + u*q - 2. Put l, q, 0 in descending order. q, 0, l Let a = -6117.8 - -6117.83. Let l = 4 - 4.5. Sort l, -0.07, a in increasing order. l, -0.07, a Let i = 42932 + -42930. Let r be -24*((-15)/(-6) + -2). Put 4, r, -4, i in ascending order. r, -4, i, 4 Let n = -957/52 + 73/4. Let l be (-1)/(-3)*(2 + 16). Let d be 1 - (l/36)/(1/3). Sort n, d, -2/11. -2/11, n, d Let b(n) = 2*n - 1. Let w be b(3). Suppose -563*g + 566*g + 2*u = -4, -2*g - 3*u = 11. Sort -6, w, g, -5 in decreasing order. w, g, -5, -6 Let q = -337 + 415. Let z = 75 - q. Sort 44, 3, z, 0.4 in descending order. 44, 3, 0.4, z Let m be 4/(-58) + 5 + (-715)/145. Let v = -4 - -7. Let j = 14 + -9. Put v, j, 1, m in decreasing order. j, v, 1, m Let x = 0.01 + 1.99. Let h = 4.92 - 7.42. Let i = h + x. Put -4, i, 0, -1/4 in ascending order. -4, i, -1/4, 0 Let g(s) = 2*s + 7. Let m be g(3). Let k be -4*5/240*-34. Let t = k + -5/2. Put -1/5, t, m, -0.4 in descending order. m, t, -1/5, -0.4 Let c = -76 + 53. Let t(v) = v**3 + 24*v**2 + 23*v - 19. Let u be t(c). Let j = 15 + u. Put j, -1, 1 in increasing order. j, -1, 1 Suppose -60*s = 190*s - 630000. Sort 0, s, 5 in increasing order. 0, 5, s Let k = 80 - 115. Let v = k - -48. Let r = 6 - v. Sort 4, r, -5. r, -5, 4 Let a = 4678 - 4591. Sort a, -4, -5 in descending order. a, -4, -5 Suppose 2*r + 70 = -a + 67, 3*r + 3*a + 9 = 0. Put r, -4, 173 in ascending order. -4, r, 173 Let s = -1034.7 + 1039.7. Sort -1, 2/59, s, 3 in descending order. s, 3, 2/59, -1 Suppose 14*n = 22*n - 8. Let r be -2 + (1 - (-4 + n)). Sort -4, r, -15/7, -0.4 in decreasing order. r, -0.4, -15/7, -4 Let q be 3 + 90/(-10) + 8 + 1. Let r be 1 - -6 - (-5)/(5/3). Sort r, 5, q, -3 in descending order. r, 5, q, -3 Suppose -20*z - 8 = 32. Put -4, 204, z, 5 in ascending order. -4, z, 5, 204 Suppose 5*m = -3*t - 41, -3*m = 3*t - 1370 + 1397. Let z = -8 + 13. Put z, 15, t, 4 in descending order. 15, z, 4, t Suppose 0 = 77*t - 67*t - 2040. Let a be (t/69 - -1) + 8/(-2). Sort 2, a, 3. a, 2, 3 Let p(h) = -h**3 - 11*h**2 - 3*h - 30. Let a be p(-11). Suppose -a*f - z - 10 = 4, -3*z = -3*f + 6. Sort -6, -4, 4, f in decreasing order. 4, f, -4, -6 Suppose -f + r - 3*r + 8 = 0, 0 = 5*f - 5*r - 10. Let c be 3 + (-23)/(46/(-20)) + 6. Put c, f, -3 in increasing order. -3, f, c Let o = 553 + -204. Let d = o + -346. Put d, -1, -2 in descending order. d, -1, -2 Let q be (-1 - (-2 + 0))*0. Suppose q = 4*b + 3*l - 20, 25 = b + 4*b - l. Let g = 21420 - 21421.3. Sort -4, g, 2/17, b. -4, g, 2/17, b Let s(t) = -t**2 - 22*t - 65. Let m be s(-19). Let y be (-5)/((-10)/m + 2/(-8)). Put -3, y, 161 in descending order. 161, -3, y Let g(s) = -6*s + 157. Let n be g(27). Let b be 1 + 0 + (-6)/18. Sort b, -0.08, n in descending order. b, -0.08, n Let v be (2/4)/((-8)/(-48)). Let l be 0/v + (-8)/(-2). Let y = -8 + 8. Sort y, l, -17/5 in decreasing order. l, y, -17/5 Let t = -7 - -5. Let y = t - -1.7. Let w = -411.5 + 411. Put w, 1, y in decreasing order. 1, y, w Let m be (-3 - -11) + 0 + -2. Suppose 12*t + 312 = m*t. Let a = 155/3 + t. Put -0.12, -1/4, a in descending order. -0.12, -1/4, a Let s = -6.62 + 6.12. Let o be 349/10 - (-12)/(-8). Let u = o - 33. Sort -0.2, 1, u, s in descending order. 1, u, -0.2, s Let z = 560 + -561. Let t = -4 - -6. Let n = -460 + 463. Put z, t, n, -2 in descending order. n, t, z, -2 Let q = -0.1047 - 0.1953. Put 93, q, 5, 4 in descending order. 93, 5, 4, q Let j(n) be the third derivative of n**4/24 - 11*n**3/6 - 44*n**2 - 1. Let t be j(0). Put -5, t, 5 in decreasing order. 5, -5, t Suppose -20 = 2*w - 5*f, 2*w = -0*w + 4*f - 18. Suppose -166*h + 52 = -213*h - 136. Sort -0.1, 0.7, h, w in ascending order. w, h, -0.1, 0.7 Let s be (-2)/3*(-15)/10. Suppose v + 18 = 16, 4*h = -3*v + 70. Suppose 31*m - 34*m - 3 = 0. Sort m, h, s in increasing order. m, s, h Suppose -68*p + 4*z = -75*p - 6, 5*z = 5*p - 35. Put 0, 7, -1, p in decreasing order. 7, p, 0, -1 Let l(b) = -69*b - 826. Let x be l(-12). Sort -146, x, -1, -3 in decreasing order. x, -1, -3, -146 Let t be (-16)/20*1/2. Suppose -9*d = 3*d + 48. Let v = 93 + -93. Put v, d, t in decreasing order. v, t, d Let s = 2.83 - -0.17. Let t = 464 + -469. Put -2, s, -0.03, t in decreasing order. s, -0.03, -2, t Suppose -35*s = -92*s + 570. Suppose 0 = 130*k - 128*k + 8. Sort 6, k, s in increasing order. k, 6, s Let z = 154/81 - 1840/1053. Put z, -501, 1, -0.2, 3 in decreasing order. 3, 1, z, -0.2, -501 Let g be 1838/7 - 16/16. Let h = 262 - g. Let x = -57 - -56.5. Sort 1, x, h in ascending order. x, h, 1 Let o = 4.4 + -10.5. Let g = -2.22 + -3.38. Let b = o - g. Put 2, 1, 2/7, b in increasing order. b, 2/7, 1, 2 Let h = -228 - -226. Suppose b + 115 = 6*b + 5*c, -5*c + 87 = 4*b. Put b, h, -1 in descending order. b, -1, h Let k = -1441 - -1317.3. Let j = k - -124. Put 1, 14/19, j, 0.4 in increasing order. j, 0.4, 14/19, 1 Let c(z) = -z**3 + 16*z**2 - 43*z + 40. Let a be c(13). Put -3, a, -1, -2 in decreasing order. -1, -2, -3, a Let s = -228 - -235. Suppose -k = s*k. Sort -0.2, 9, k in decreasing order. 9, k, -0.2 Let h be (1298/708)/((-1)/(-6))*(-15)/(-33). Put -3, h, 0, -32 in decreasing order. h, 0, -3, -32 Let o(z) = z**2 + 7*z + 6. Let j be o(-1). Let t = 803 - 802. Sort -1, t, -6, j in decreasing order. t, j, -1, -6 Let s = -15777 - -15782. Suppose -o = -5*c + 12, -5*o - 3*c = -o - 21. Put o, s, 0, -5 in ascending order. -5, 0, o, s Let k(b) = 53*b**2 + 211*b + 7. Let r be k(-4). Put r, 0, -2/9, 3 in descending order. r, 3, 0, -2/9 Let r = 19019 + -19016. Put -1/8, 5/4, r, -4, 4 in increasing order. -4, -1/8, 5/4, r, 4 Let j = 276 - 627. Let h be 9/((-351)/6) - 132/j. Let w = -2 + 5. Put h, 0.2, w, 5 in decreasing order. 5, w, h, 0.2 Let a = -106 - -105. Let q = -1188.6 + 1189. Put -2/19, a, q, -2/7 in descending order. q, -2/19, -2/7, a Let n be 3/(0 - 6/(-136)). Suppose 4*q - c + n = 3*c, 2*c = q + 14. Let v(d) = -d**2 - 17*d - 5. Let x be v(-17). Sort q, 5, x in ascending order. q, x, 5 Suppose 3005*c - 2999*c + 6 = 0. Put c, 3, -124 in decreasing order. 3, c, -124 Let s(b) = b**3 - 13*b**2 - 2*b + 29. Let t be s(13). Suppose -6 = -v + t. Suppose -r - v = -6. Put r, 4, 1 in descending order. 4, 1, r Let g(n) = -n**3 - 6*n**2 - 5*n + 4. Let a be g(-5). Let t(y) = -2*y**2 - 61*y. Let v be t(-29). Suppose 8*k - v = -95. Sort k, -5, a in ascending order. -5, k, a Let c be ((-15)/6)/((-63)/(-4970)). Let u = -197 - c. Sort u, 4, -10 in increasing order. -10, u, 4 Suppose 0 = 163*w - 2088 - 8018. Let f be (1 + 14/(-10))*-10. Put 3, f, w in descending order. w, f, 3 Let j = -2319 + 2319. Put 34/15, 3, j in decreasing order. 3, 34/15, j Suppose -4*d + 3*c - 2 = 0, 0*d = -2*d - c + 4. Suppose 0 = 5*s + 36 + 39. Sort -1, 2, s, d in descending order. 2, d, -1, s Let l be (-3)/(-42)*-25 - 9/(-6). Let s be (-213)/110 - -1 - 2/(-4). Let i = 4/11 - s. Put 0.5, 1/4, l, i in increasing order. l, 1/4, 0.5, i Let i = 1279 + -1282. Sort -0.5, i, -2/11, -0.02. i, -0.5, -2/11, -0.02 Let a = 1 + -1. Suppose -15*t = 1113 + 237. Let b = t + 94. Put a, b, 3 in ascending order. a, 3, b Let d = -210 - -915. Let j = -701 + d. Sort 249, j, 5. j, 5, 249 Let t be 3/((-108)/26) - 8/(-16). Let u be 1647/(-57) + (-2)/19. Let x = 29 + u. Sort 5, x, t, 2. t, x, 2, 5 Let g(l) = 5*l. Let n be g(-1). Suppose -384*p - 699 = 69. Sort -9, n, p in ascending order. -9, n, p Suppose 107 + 22 = -116*f + 13. Sort 76, 4, -6, f, 3 in ascending order. -6, f, 3, 4, 76 Suppose 7*t - 48 = -t. Suppose -2*q = -t*q + 300. Let h = 74 - q. Put -5, 2, -3, h in ascending order. -5, -3, h, 2 Suppose -4 = -6*p + 4*p. Suppose -4 = p*u - u, 4*r - 4*u = -16. Let g be (-3)/((-84)/r) - (-58)/56. Sort -21, -3/5, g in descending order. g, -3/5, -21 Let o = 25001.8 + -25002. Sort 5, 0.5, 0, -10.6, o in decreasing order. 5, 0.5, 0, o, -10.6 Let y(l) = -l**2 - 7*l + 287. Let f be y(-21). Put f, 52, 1 in ascending order. f, 1, 52 Let c(n) = -28*n**2 + 10*n**2 + 14*n**3 + 7*n**2. Let q be c(1). Let k be (1 + -1)/(-1 - 0). Put k, q, -2, -4 in increasing order. -4, -2, k, q Let x = 45.8 - 33. L
{ "pile_set_name": "DM Mathematics" }
104 and 486044? 52 What is the greatest common divisor of 182 and 251186? 26 Calculate the greatest common divisor of 258763 and 2. 1 Calculate the highest common divisor of 35165 and 11635. 65 Calculate the highest common factor of 585771 and 116. 29 What is the greatest common divisor of 11227 and 26471? 103 Calculate the highest common factor of 10731 and 30576. 147 What is the highest common divisor of 506532 and 3468? 204 Calculate the highest common factor of 3018 and 102. 6 Calculate the highest common divisor of 8 and 2234632. 8 What is the greatest common divisor of 18 and 7344? 18 Calculate the greatest common factor of 1239458 and 22. 22 What is the highest common divisor of 2415575 and 50? 25 Calculate the highest common factor of 995 and 488744. 199 What is the greatest common divisor of 4831264 and 1088? 544 What is the highest common factor of 6 and 409872? 6 Calculate the greatest common divisor of 2463684 and 12. 12 What is the highest common divisor of 347 and 73217? 347 What is the highest common factor of 10649 and 4025? 23 Calculate the greatest common factor of 49020 and 158460. 1140 What is the highest common divisor of 3976 and 12656? 56 Calculate the greatest common divisor of 14212 and 208318. 374 What is the highest common factor of 39135 and 30? 15 What is the highest common divisor of 10506 and 27438? 102 What is the highest common divisor of 78 and 35191? 13 What is the highest common factor of 376858 and 1342? 122 What is the highest common factor of 105 and 29460? 15 Calculate the highest common factor of 49792 and 3890. 778 What is the highest common divisor of 247650 and 130? 130 Calculate the highest common divisor of 4016 and 6736. 16 Calculate the greatest common factor of 78326 and 2. 2 Calculate the highest common factor of 3047 and 3. 1 What is the highest common factor of 233726 and 46? 46 What is the highest common factor of 149035 and 615? 205 What is the greatest common factor of 1386 and 288? 18 What is the highest common divisor of 3000 and 21720? 120 Calculate the highest common factor of 32 and 96608. 32 Calculate the greatest common factor of 420 and 3780. 420 Calculate the greatest common divisor of 4 and 686516. 4 Calculate the greatest common factor of 1143858 and 1244. 622 Calculate the highest common factor of 15 and 5892. 3 Calculate the highest common factor of 5508 and 9027. 153 What is the highest common factor of 187 and 27060? 11 What is the highest common divisor of 60582 and 11385? 69 Calculate the highest common divisor of 5728 and 256. 32 Calculate the highest common factor of 60 and 3364. 4 Calculate the greatest common factor of 186 and 714829. 31 Calculate the highest common divisor of 12882 and 8664. 114 What is the highest common divisor of 140 and 1126790? 70 Calculate the greatest common factor of 432 and 68184. 72 What is the highest common divisor of 1285 and 926999? 257 Calculate the greatest common divisor of 50 and 232525. 25 What is the greatest common factor of 500 and 443500? 500 What is the highest common divisor of 4540711 and 7? 7 What is the greatest common divisor of 12028 and 2852? 124 Calculate the highest common divisor of 11581152 and 24. 24 What is the highest common factor of 2535 and 2145? 195 Calculate the greatest common divisor of 11397 and 127987. 131 What is the highest common divisor of 1456 and 4862? 26 Calculate the highest common factor of 2289 and 3161. 109 What is the greatest common factor of 9916 and 197950? 74 Calculate the greatest common factor of 8489 and 377. 13 What is the greatest common divisor of 16718 and 182? 26 What is the highest common factor of 114260 and 40? 20 What is the highest common divisor of 350 and 19523350? 350 Calculate the greatest common factor of 90 and 1168785. 45 What is the highest common factor of 1675548 and 1647? 549 Calculate the highest common divisor of 681 and 982002. 681 Calculate the greatest common divisor of 662 and 21211142. 662 What is the greatest common divisor of 4200 and 3569400? 600 What is the greatest common factor of 384 and 804? 12 Calculate the highest common factor of 134544 and 96. 48 Calculate the greatest common divisor of 1840 and 60. 20 Calculate the greatest common divisor of 43144 and 64. 8 Calculate the greatest common factor of 21981 and 391. 17 Calculate the highest common divisor of 168 and 228963. 21 What is the greatest common divisor of 3480 and 150? 30 What is the highest common factor of 117857 and 19? 19 What is the highest common divisor of 27376 and 272? 16 What is the greatest common factor of 896 and 36064? 224 Calculate the greatest common divisor of 576 and 153576. 72 Calculate the highest common divisor of 12428 and 478. 478 Calculate the highest common divisor of 1006 and 1024611. 503 Calculate the highest common divisor of 13 and 9416615. 13 What is the greatest common factor of 13892 and 64628? 604 What is the highest common divisor of 13947 and 3? 3 Calculate the greatest common factor of 255042 and 16. 2 Calculate the highest common factor of 33306 and 151788. 546 Calculate the greatest common factor of 13507 and 78. 13 What is the highest common factor of 214001 and 173? 173 Calculate the greatest common divisor of 79519 and 2. 1 What is the highest common factor of 23 and 3041152? 23 Calculate the greatest common divisor of 34118 and 126. 14 What is the highest common divisor of 16932 and 6225? 249 What is the greatest common factor of 3081 and 264? 3 What is the greatest common factor of 1359188 and 1133? 103 Calculate the highest common divisor of 2199976 and 16. 8 Calculate the greatest common divisor of 10137 and 41093. 109 Calculate the highest common divisor of 251445 and 15. 15 Calculate the greatest common factor of 14976 and 36. 36 Calculate the greatest common divisor of 302750 and 500. 250 What is the highest common factor of 46686 and 372? 186 What is the highest common divisor of 66766 and 266? 266 What is the greatest common factor of 75 and 684650? 25 Calculate the greatest common factor of 8474 and 917868. 446 Calculate the highest common divisor of 213 and 8668461. 213 Calculate the greatest common divisor of 21 and 299019. 21 What is the greatest common divisor of 59413 and 19? 19 What is the highest common divisor of 1183126 and 28? 14 Calculate the highest common factor of 97569 and 171. 9 Calculate the highest common factor of 77627 and 33. 11 What is the greatest common divisor of 328 and 45346? 82 What is the highest common factor of 23832 and 1854? 18 Calculate the greatest common divisor of 63560 and 4340. 140 What is the greatest common divisor of 2142 and 68238? 306 Calculate the highest common divisor of 219 and 126509. 73 What is the highest common factor of 885 and 203137? 59 Calculate the highest common factor of 44 and 64108. 44 Calculate the greatest common divisor of 113 and 2246. 1 Calculate the greatest common divisor of 204 and 36006. 102 What is the highest common divisor of 755997 and 3? 3 What is the highest common divisor of 471 and 1065? 3 Calculate the highest common divisor of 76035 and 411. 411 What is the greatest common factor of 133678 and 1780? 178 What is the highest common factor of 52154 and 150016? 586 Calculate the greatest common divisor of 278203 and 111. 37 What is the highest common divisor of 4843 and 38243? 167 Calculate the highest common factor of 177282 and 1134. 378 What is the highest common divisor of 3192197 and 257? 257 What is the highest common factor of 1078060 and 152? 76 Calculate the greatest common factor of 706789 and 613. 613 What is the highest common factor of 995257 and 491? 491 What is the highest common divisor of 109968 and 261? 87 What is the greatest common divisor of 2007 and 1797603? 669 What is the highest common divisor of 1067925 and 3437? 491 What is the highest common divisor of 602 and 43645? 301 Calculate the greatest common factor of 1326 and 98566. 442 What is the greatest common factor of 9 and 831369? 3 Calculate the highest common factor of 9075 and 2805. 165 What is the greatest common divisor of 527 and 211327? 527 Calculate the highest common factor of 754 and 196562. 58 Calculate the highest common factor of 7025 and 225. 25 What is the highest commo
{ "pile_set_name": "DM Mathematics" }
8 What is the greatest common divisor of 128 and 32? 32 What is the highest common factor of 117 and 377? 13 What is the highest common divisor of 31 and 527? 31 What is the highest common factor of 96 and 156? 12 What is the greatest common factor of 323 and 34? 17 What is the greatest common factor of 5929 and 231? 77 Calculate the greatest common divisor of 1568 and 336. 112 Calculate the highest common divisor of 83 and 44. 1 What is the greatest common divisor of 11 and 1441? 11 Calculate the highest common factor of 58 and 2. 2 Calculate the greatest common divisor of 2178 and 18. 18 What is the highest common divisor of 485 and 3298? 97 Calculate the greatest common factor of 903 and 525. 21 What is the greatest common factor of 44 and 1606? 22 What is the greatest common factor of 8152 and 8? 8 What is the highest common factor of 264 and 24? 24 Calculate the greatest common factor of 296 and 12. 4 Calculate the highest common factor of 20 and 268. 4 Calculate the greatest common divisor of 1521 and 26. 13 What is the greatest common factor of 15 and 4920? 15 What is the highest common divisor of 168 and 54012? 84 Calculate the greatest common divisor of 1113 and 1431. 159 What is the greatest common divisor of 4 and 436? 4 Calculate the greatest common factor of 6383 and 13. 13 What is the greatest common divisor of 332 and 1? 1 Calculate the highest common divisor of 10 and 65810. 10 Calculate the greatest common factor of 15 and 5. 5 What is the greatest common factor of 1328 and 16? 16 Calculate the greatest common factor of 21 and 1239. 21 Calculate the highest common divisor of 6 and 114. 6 Calculate the greatest common divisor of 1 and 303. 1 Calculate the greatest common divisor of 3580 and 20. 20 What is the greatest common divisor of 44 and 192? 4 What is the greatest common divisor of 16272 and 24? 24 Calculate the highest common divisor of 1323 and 98. 49 Calculate the highest common divisor of 1694 and 42. 14 What is the greatest common factor of 45 and 63? 9 Calculate the highest common factor of 450 and 495. 45 What is the greatest common divisor of 798 and 210? 42 What is the greatest common factor of 5532 and 48? 12 What is the greatest common divisor of 945 and 35? 35 What is the highest common factor of 512 and 96? 32 What is the highest common divisor of 195 and 45? 15 Calculate the highest common factor of 1403 and 92. 23 What is the highest common factor of 48 and 25896? 24 Calculate the greatest common divisor of 14 and 742. 14 What is the highest common factor of 301 and 3096? 43 Calculate the greatest common divisor of 986 and 870. 58 Calculate the greatest common divisor of 2650 and 106. 106 Calculate the greatest common divisor of 35490 and 182. 182 What is the greatest common divisor of 1386 and 1001? 77 Calculate the highest common divisor of 1050 and 399. 21 Calculate the greatest common factor of 475 and 50. 25 What is the greatest common factor of 3 and 205? 1 What is the highest common divisor of 96 and 492? 12 Calculate the greatest common divisor of 1368 and 3344. 152 Calculate the highest common divisor of 10710 and 35. 35 Calculate the highest common divisor of 156 and 12. 12 What is the greatest common factor of 4 and 38? 2 What is the greatest common factor of 2860 and 143? 143 What is the greatest common divisor of 264 and 96? 24 Calculate the greatest common factor of 32 and 3472. 16 What is the greatest common factor of 308 and 220? 44 Calculate the highest common divisor of 43 and 688. 43 What is the highest common factor of 1372 and 245? 49 What is the highest common divisor of 324 and 5076? 108 What is the highest common factor of 1629 and 171? 9 What is the greatest common factor of 105 and 8295? 105 Calculate the greatest common divisor of 120 and 54. 6 What is the highest common factor of 6511 and 102? 17 Calculate the highest common factor of 64 and 672. 32 Calculate the highest common divisor of 300 and 80. 20 Calculate the highest common divisor of 44 and 5819. 11 What is the highest common factor of 15 and 1005? 15 What is the highest common divisor of 656 and 16? 16 Calculate the highest common factor of 555 and 15. 15 What is the highest common divisor of 4590 and 90? 90 What is the highest common factor of 630 and 25? 5 Calculate the highest common divisor of 2 and 2402. 2 What is the greatest common divisor of 148 and 324? 4 What is the greatest common divisor of 9 and 28125? 9 What is the highest common factor of 532 and 1960? 28 Calculate the greatest common divisor of 928 and 800. 32 What is the greatest common divisor of 7 and 3? 1 What is the highest common divisor of 56 and 6? 2 What is the highest common factor of 99 and 1023? 33 What is the highest common divisor of 14 and 791? 7 Calculate the highest common divisor of 437 and 19. 19 What is the highest common factor of 33 and 6? 3 What is the highest common divisor of 34 and 44098? 34 What is the greatest common divisor of 1926 and 535? 107 What is the greatest common divisor of 12 and 1308? 12 Calculate the greatest common factor of 304 and 190. 38 What is the highest common factor of 1200 and 1950? 150 What is the greatest common factor of 188 and 47? 47 What is the highest common factor of 51 and 7701? 51 Calculate the greatest common factor of 1048 and 4. 4 What is the highest common divisor of 1 and 306? 1 What is the greatest common factor of 2889 and 81? 27 Calculate the greatest common factor of 742 and 42. 14 Calculate the greatest common divisor of 6 and 246. 6 What is the highest common factor of 8005 and 5? 5 Calculate the highest common divisor of 278 and 63106. 278 What is the greatest common factor of 1562 and 66? 22 Calculate the greatest common factor of 180 and 3020. 20 Calculate the greatest common divisor of 201 and 469. 67 Calculate the greatest common divisor of 80 and 3296. 16 What is the greatest common divisor of 266 and 45087? 133 Calculate the highest common divisor of 8122 and 62. 62 Calculate the greatest common divisor of 13 and 3159. 13 Calculate the greatest common factor of 368 and 46. 46 Calculate the highest common factor of 234 and 156. 78 Calculate the greatest common factor of 30 and 9210. 30 What is the highest common divisor of 12 and 2028? 12 Calculate the highest common divisor of 600 and 95. 5 What is the highest common factor of 104 and 16? 8 Calculate the highest common divisor of 133 and 3857. 133 Calculate the greatest common factor of 16996 and 56. 28 Calculate the greatest common divisor of 2 and 1. 1 What is the greatest common factor of 2 and 46? 2 What is the highest common divisor of 210 and 30? 30 What is the highest common factor of 7 and 13643? 7 What is the highest common divisor of 1020 and 612? 204 Calculate the greatest common factor of 45 and 60. 15 Calculate the greatest common factor of 494 and 52. 26 Calculate the highest common divisor of 144 and 936. 72 Calculate the greatest common factor of 2775 and 600. 75 Calculate the highest common divisor of 65 and 55835. 65 Calculate the greatest common factor of 374 and 1683. 187 Calculate the greatest common divisor of 88 and 71720. 88 What is the greatest common factor of 28 and 3024? 28 What is the greatest common factor of 687 and 9? 3 Calculate the greatest common divisor of 4290 and 55. 55 What is the highest common factor of 12 and 70188? 12 What is the greatest common divisor of 180 and 1840? 20 Calculate the greatest common factor of 12 and 160. 4 What is the highest common factor of 697 and 41? 41 What is the highest common factor of 1390 and 20? 10 What is the greatest common factor of 109 and 3? 1 What is the highest common divisor of 11 and 6424? 11 Calculate the highest common divisor of 22191 and 78. 39 Calculate the highest common divisor of 676 and 1196. 52 Calculate the highest common factor of 1136 and 2130. 142 Calculate the highest common divisor of 448 and 91. 7 What is the highest common divisor of 24047 and 139? 139 Calculate the greatest common factor of 351 and 13. 13 Calculate the highest common divisor of 1122 and 204. 102 Calculate the highest common factor of 494 and 26. 26 What is the highest common divisor of 2448 and 1584? 144 What is the highest common factor of 889 and 21? 7
{ "pile_set_name": "DM Mathematics" }
6*v + 24. Let y be n(4). Suppose y = 4*x - 3*w - 27, -x - 3 + 15 = w. Suppose 15*a - x*a = 30. Solve 10 = -3*g - a for g. -5 Suppose 2*z = 294 - 292. Solve 1 = -q - z for q. -2 Let m(j) = 7*j + 116. Let f be m(-4). Let w be 16/f + (-64)/(-11) - -2. Solve -5*v + v - w = 0 for v. -2 Suppose 0 = 5*x - 15 + 20. Let c be (13/39)/(x - 14/(-12)). Solve -c*n = n + 12 for n. -4 Let y = 2026 - 2018. Solve -14*s - y*s + 132 = 0 for s. 6 Let r = 16215 - 13846. Solve 21*n + 2453 - r = 0 for n. -4 Let o(q) = 2*q**3 + 14*q**2 + 34*q + 151. Let n be o(-6). Solve -n*l + 36 = -59 for l. 5 Let z(x) = -x**3 - 6*x**2 - 3. Let q = 98 - 104. Let c be z(q). Let w(r) = r**2 + 4*r + 4. Let g be w(c). Solve -5*h = -g - 4 for h. 1 Suppose -53*c = -57*c + 224. Let f be 4/(((-12)/(-42))/(12/c)). Suppose -2*a + p + 17 = 0, 0*a + 4*a - 5*p = 37. Solve -f*b + a = b for b. 2 Let z(o) = 6*o. Suppose 0 = 727*p - 729*p + 2. Let k be z(p). Solve 0 = 6*g - 3*g - k for g. 2 Let d(r) = 2*r**2 - 2*r - 9. Suppose 8 = -3*h + h. Let j be d(h). Let w = j - 29. Solve -5*q = -w*q + 12 for q. -4 Let f = -21 + 133. Suppose 7*p = f - 0. Suppose 3*y = 6*g - 11*g - p, -3*y = -5*g - 34. Solve 0 = 3*k + y + 3 for k. -2 Suppose 3*r - 8*r = 4*n - 117, -4*r + 102 = -n. Suppose 6*q - r = q. Suppose 15*t - 17*t + 3*z + 20 = 0, t - 10 = 2*z. Solve t*x = 5*x + q for x. 1 Suppose 3*m - 17 = -b, 0 = -23*m + 28*m + 4*b - 26. Solve 0 = m*o - 1 - 5 for o. 1 Let b(z) = z**3 + 4*z**2 - 3*z. Let v(o) = 4*o**3 + 13*o**2 - 10*o. Let x(r) = 7*b(r) - 2*v(r). Let p = 66 - 65. Let j be x(p). Solve j = 5*t - 2*t for t. 0 Suppose 0 = -13*i + 9*i + s + 266, -i - 3*s = -60. Solve 39 = 35*w - i for w. 3 Suppose -4*l - a - 3 = 0, 1 = 3*l - 4*a - 11. Let d be 9 + -5 - 9 - -6. Solve -i = d - l for i. -1 Let q be (302/4 - 3)*(-324)/270. Let v = -148 - -255. Let x = v + q. Solve -x = l - 5*l for l. 5 Suppose -5*l - 20 = -10*l. Suppose 2*t + 8 = t - 3*c, -2*t + l*c - 56 = 0. Let y = 22 + t. Solve y = 5*s - 23 for s. 5 Let t = 3458 + -3456. Solve -3*d = -t*d - 4 for d. 4 Suppose 17*d - 47 = 599. Solve -d = -34*v + 30 for v. 2 Let y = 4852 + -4765. Solve -16*p = -7 + y for p. -5 Suppose 0 = 6*i - 116 + 20. Let j be 18/(-108) + 25/6. Suppose -s - j = -11. Solve 3*l = -s + i for l. 3 Suppose -8*x - 520 = -3*g - 9*x, -2*x + 521 = 3*g. Let r = g - 172. Solve -r = -11*i + 10*i for i. 1 Let f = -16 + 30. Let v = -13394 - -13396. Solve -f = v*i - 6 for i. -4 Let a = 781 - 45. Let t = a + -730. Suppose 0*h = h. Solve -3*z = -h*z - t for z. 2 Suppose 59*n - 2041 = -98*n. Solve n*m = -50 + 24 for m. -2 Suppose 4*c = 16*o - 11*o + 67, -2*c = 5*o - 11. Solve -7*z = 6*z - c for z. 1 Let p(w) = 92*w + 930. Let t be p(-10). Solve -t*x - 7*x = -119 for x. 7 Suppose -13*n = -0*n - 6*n. Suppose n = -7*u + 26*u - 76. Solve 6*m - u*m = -4 for m. -2 Let n = 494 - 474. Suppose 0 = -5*y + n, 0*a - a - 4*y = -25. Solve a - 27 = -9*m for m. 2 Let v(l) = l**3 - 6*l**2 - 5*l + 14. Let j be v(7). Let y(c) = -4*c**2 + c - 13. Let u be y(-4). Let q = u - -84. Solve 13 - j = q*s for s. -5 Let t be (-2 - 1)/(27/1575*-5). Suppose 0 = 18*q - 16*q + i - 5, 5*q - t = 5*i. Solve 3*p + 1 = q for p. 1 Let h be (-184)/(-20) + (-5)/25. Let g = h + 3. Let a be (3 - 2)/(2/(g/3)). Solve q = a - 0 for q. 2 Suppose -700 = 64*v - 3580. Solve 75 = 60*q - v*q for q. 5 Suppose 6*w = 7*w + 4. Let z be -2*1/1*(-2 - w). Let r be (z/(32/(-4)))/(2/16). Solve -3*i - r = 11 for i. -5 Suppose 92*o - 95*o = 4*j + 12, 4 = 4*j - o. Solve j = 10*h - 22 + 42 for h. -2 Let v(x) = 14*x**2 - 19*x + 7. Let z be v(-3). Let s = z - 187. Solve -h = s*h for h. 0 Suppose 3*u - 478*t + 483*t - 130 = 0, 2*u - 95 = -5*t. Solve -19*n = -u + 149 for n. -6 Suppose 0 = 18*z - 40 - 1040. Suppose 43*i - 112 = z. Solve -18*v - i = -20*v for v. 2 Let o(u) = -28*u**2 + 170*u - 6. Let k be o(6). Solve 27*p + k = 24*p for p. -2 Let o = -6424 - -6795. Solve 366 = 5*m + o for m. -1 Let m(d) = -11*d + 1. Let s be m(-1). Let l(a) = 34030*a + 408368. Let w be l(-12). Solve w*f = 4*f + s for f. 3 Suppose -51*c + 349*c + 78*c = 110544. Solve -c*a = -291*a - 3 for a. 1 Let x = 54 - 26. Let f = x + -36. Let j be (-1 - 1) + 10 + f. Solve -b + j = 1 for b. -1 Let u be (132/(-20) + 1 - -7)/((-4)/(-20)). Solve u = 552*q - 559*q for q. -1 Suppose 59*f = 53*f - 456. Let h be f/(-418) + (-62)/(-22). Solve -7*c - h = -4*c for c. -1 Let z = -884 - -890. Solve z*b - 98 = 20*b for b. -7 Let s = -154 + 223. Let a = 88 - s. Solve 0 = -16*r + a*r for r. 0 Let y(v) = -102*v - 1428. Let f be y(-14). Solve f = -36*p - 182 + 38 for p. -4 Suppose 15*p - 5210 - 1195 = 0. Let w = p + -423. Solve w + 0 = 2*z for z. 2 Let q(d) = -d**2 - 8*d + 9. Let i be q(-9). Suppose -7*n + 84 = -i*n. Suppose -4*p + n = -5*u, -7*p + 9 = -4*u - 4*p. Solve 3*s + u*s = -15 for s. -5 Let q(b) = 21*b - 1852. Let n be q(90). Solve -50*o + n*o = 0 for o. 0 Let y be 48/14 - ((-4)/16 - 95/(-140)). Let w = -6 + 10. Let o(x) = 15*x**2. Let g be o(1). Solve g - y = -w*m for m. -3 Let x be (6/(-2))/(-2 + 1). Let r be 26/2 - 2/2. Suppose -5*l - 2*b + 21 = 0, 113 = 4*l + 3*b + 99. Solve l*g + r = -x for g. -3 Let y(r) = r**2 - 17*r + 102. Let q be y(11). Suppose 4*g - 4*m - 20 = 0, -3*g + g - 4*m = 14. Solve -7*u - q = -g for u. -5 Suppose 1091*z - 1116*z + 4200 = 0. Solve z = -10*h + 98 for h. -7 Suppose 4*m - 6*m = 3*w - 53, -3*w - 5*m + 38 = 0. Let l be ((-3)/(-2))/(w/70). Solve k = 7 - l for k. 2 Suppose 542 + 477 - 237 = 23*n. Solve 0 = l - n*l - 165 for l. -5 Suppose -95*u + 3 = -90*u - 3*t, u = -2*t - 2. Solve u = -84*s + 70*s + 56 for s. 4 Let k = 6152 + -6047. Solve 22*z - z - k = 0 for z. 5 Let u be (0 - -183) + 28/7. Suppose -188*f + 3 = -u*f. Solve -3*q - f = -2*q for q. -3 Let z = -3756 - -3777. Solve -48*c + 41*c + z = 0 for c. 3 Let n(u) = 2*u**2 - 42*u - 871. Let a be n(-13). Solve -a*s - 34 = 21*s for s. -1 Let g be (-1)/2*(-10 - -2). Suppose 0 = -36*p + 87 + 21. Suppose 0 = 4*t - 5*i - 49, -3*t - p = -4*i - 39. Solve g*d - t + 4 = 0 for d. 3 Let l(r) = r**3 - 30*r**2 - 7*r + 219. Let j be l(30). Solve 0 = -14*g - j*g - 161 for g. -7 Suppose 1681 = -12*g - 3755. Let k = -446 - g. Solve -10*n = -k*n + 9 for n. -3 Let k(s) = -3*s**2 - 11*s + 115. Let f(u) = -u**2 - 4*u + 39. Let d(a) = 7*f(a) - 2*k(a). Let b be d(4). Solve -b*i - 10 = -5*i for i. 5 Let c be (3/(-4))/(((-954)/(-24))/(-53)). Solve -17*u + c = -135 for u. 8 Let u = 106 - 59. Suppose -u = -4*c - 5*q - 3, c + 3*q = 11. Suppose 0 = 12*r - c*r. Solve r = -5*s - 1 - 9 for s. -2 Let x be 0/((-28)/(-7 + 14)). Solve x = 42*b - 36*b - 54 for b. 9 Let c be (1/2)/(21/84 - 97/392). Solve -10*z = -c + 136 for z. 6 Suppose 1330 = 407*s - 3361 + 1028. Solve 0 = s*v + 33 + 21 for v. -6 Let n be 3/6*(-2 - -2). Let s be 985/40 + (-27)/(-72). Suppose 0 = -41*v + 18*v + s*v. Solve n*y - 4*y = v for y. 0 Suppose 0 = -356*j + 360*j - 2*b - 70, 4*b = -4. Solve -j*n - 51 + 0 = 0 for n. -3 Suppose 0 = -15*h - 25*h + 7693 + 907. Solve -46*d - h = 107 for d. -7 Let t(x) = x**3 - 8*x**2 + 2*x. Let u be t(8). Let f = -642 + 638. Let z(o) = 5*o**2 + 16*o - 9. Let g be z(f). Solve -3*d - u = -g for d. -3 Let s = -6989 - -7163. Solve 0 = -83*p + 54*p + s for p. 6 Let v(a) = 26*a - 188. Let s be v(-9). Let l = s - -431. Solve 6*m - 30 = -l*m for m. 2 Let f(m) = m**3 + 12*m**2 - 45*m. Let s be f(-15). Suppose 3*i - 12 = 3*l - s*i, 5*l + 2*i - 15 = 0. Solve 3*w + l = -2 for w. -1 Let c = 6201 - 6195. Solve 0 = c*l + 66*l + 144 for l. -2 Suppose -v - 17 = -p - 31, 0 = -5*v - 4*p + 70. Solve 12*k - 26*k - v = 0 for k. -1 Let h = -218 - -137. Let x = h + 86. Suppose 2*d + 4*a = -12, a = x*d - 0*a - 14. Solve d*o = 3*o for o. 0 Suppose 8*i - 7*i - 2865 = -14*i. Solve 197*f - i*f - 18 = 0 for f. 3 Let r = 7 + 10. Let g = r + -15. Solve g = -l + 1 for l. -1 Let b = 11097 - 11091. Solve 9*i = 3*i - b*i for i. 0 Let c(k) be the third derivative of -k**6/120 + k**5/10 - k**4/6 - k**3/3 - 2*k**2. Let n be c(5). Suppose 13 = n*v + 4. Solve -4*r = -r - v for r. 1 Let n(x) = -x**2 - 22*x - 74. Let l be 5*((-36)/(-9))/(-4). Let p be n(l). Solve -p*a + 17*a = -12 for a. -2 Let m = 2170 - 2151. Solve 14*g + 23 = -m for g. -3 Let b be (16*(64/(-12) - -5))/(22/(-792)). Solve -b*h + 185*h = 0 for h. 0 Let k(z) = 6*z**2 + 20*z + 35. Let i be k(-5
{ "pile_set_name": "DM Mathematics" }
) 107 (c) 2/285 a What is the closest to -1 in 0.1, 32.704, 126? 0.1 What is the closest to -1507 in 5, 1, 84, 1/5, -2/3? -2/3 What is the closest to -3 in -3/4, 2, 0.6, 118/3, -2/7? -3/4 What is the closest to -0.1 in -0.3, -84, -476, -5, -9? -0.3 Which is the closest to -1? (a) 2 (b) -1/3 (c) -259 (d) -0.2 (e) 0.0926 b What is the closest to 2.3 in -1/6, -13, 6, -423? -1/6 Which is the nearest to -1? (a) 9115 (b) -7 (c) 114/7 b What is the nearest to -506 in 0.2, -2, 61? -2 What is the nearest to -2/9 in -13567, -0.2, -3, -0.4, -0.05, -5? -0.2 What is the closest to 1 in 5, -44, 17/4, 1/5, -0.321? 1/5 Which is the nearest to 2/3? (a) 0.3 (b) -2/9 (c) 0.2 (d) -2 (e) -4141/3 a What is the nearest to -29 in -103225, -3, -4? -4 Which is the closest to -1.3? (a) 1/4 (b) -0.44 (c) -0.4 (d) -1/2 (e) 5 (f) -0.212 d Which is the nearest to -0.1? (a) -0.2 (b) -2.4 (c) -88 (d) 3 (e) 17 a Which is the nearest to 610? (a) 4 (b) 485 (c) 94/7 (d) -3/5 b Which is the closest to 76? (a) -4 (b) -4/5 (c) -0.1 (d) -3 (e) 9 e What is the nearest to -20 in 102726, 3, -1/5, -0.4, -2? -2 Which is the closest to -0.1? (a) -206/9 (b) -4 (c) 6.01 b Which is the closest to -2? (a) -1 (b) -13648.5 (c) 3 a Which is the closest to -759? (a) 0 (b) -101 (c) 12 b What is the nearest to 1/8 in -3.4, 4, -0.12, 1559? -0.12 Which is the nearest to 199.1? (a) 0.3 (b) -2 (c) -11554 (d) -1 (e) -4 a Which is the closest to 4? (a) -11 (b) -0.061 (c) 1/5 (d) -0.1 (e) -388 c What is the nearest to -65 in -1/3, 0.025, 10, -0.3? -1/3 What is the closest to 99.5 in 7/9, 3, -0.4, 0.4? 3 What is the nearest to 52 in -2, 0.1, -22, 1/5, -227? 1/5 Which is the closest to 0.128? (a) -1/4 (b) 0.06 (c) -2/3 (d) -0.4 (e) 58/3 (f) 0.02 b What is the nearest to 2/5 in -0.2, 71, -4, 709? -0.2 Which is the nearest to -1? (a) -53/4 (b) -2/5 (c) 3 (d) -3/86 (e) -1/2 (f) 1 e What is the nearest to 0.1 in -232, -5, -105149? -5 What is the closest to 0.07 in -0.077, -0.99, 1/4, 0.5, 257? -0.077 Which is the closest to 1? (a) 0.2 (b) -0.2 (c) -46.61 (d) 2/5 d Which is the closest to -0.2? (a) 0.678 (b) -3.46 (c) 0.7 a Which is the closest to 0? (a) 11.09 (b) -1750 (c) -1 c What is the nearest to -1 in -10, -60123, -0.6? -0.6 What is the closest to -1/125 in 4.2, 0, 2/9, 2, 49? 0 What is the nearest to -13 in -7, 7, 151.7? -7 Which is the closest to -0.7499? (a) -5 (b) 0 (c) 0.4 (d) 0.088 (e) -1/7 e What is the closest to -0.48 in 1/7, 2/5, -1/3, -120? -1/3 Which is the closest to -3/5248? (a) 0.1 (b) 0.03 (c) -5 (d) -0.1 (e) 2/11 b What is the nearest to 0 in -4, -1876, -11/6, -2? -11/6 What is the closest to -2.6 in 45, -2, 1, 0.02, 10? -2 Which is the nearest to -2/3? (a) 4 (b) 19 (c) 5916 (d) -4 d What is the closest to -0.1 in 0.36569, 1/44, -1? 1/44 What is the nearest to 0.176 in -1/5, 89, 0? 0 What is the closest to 2/3 in -12, -0.4, 5, 476/389? 476/389 What is the nearest to -1/395 in -1.9, -4/7, -62? -4/7 What is the closest to 0.277 in -0.3, 0.4, 1/13, 2/7, -0.03, 0.1? 2/7 Which is the nearest to 4? (a) 0.8 (b) -0.02 (c) -3785/18 a What is the nearest to -239/7 in 1/2, 864, -5/4? -5/4 Which is the closest to 0.1? (a) 579/28 (b) -3 (c) -1/5 (d) 3 (e) -2/13 (f) 0.6 e Which is the closest to -1/4? (a) -0.75 (b) -582 (c) -0.2 (d) 1/23 (e) 1/5 c Which is the closest to -2/3? (a) -10/13 (b) -3/2 (c) -28862 (d) -5 a What is the nearest to -27198 in -1/5, -1/11, -1/6, 4, -2? -2 What is the nearest to 0.3 in 5, 49, -0.1, -1/12, -4? -1/12 Which is the closest to -0.3? (a) -27 (b) 0.071 (c) -44 (d) 1/12 (e) 0.1 b Which is the closest to -0.2? (a) 521 (b) 1 (c) -0.4 (d) 138 c What is the closest to 6 in 3, -9.8, 1/3, -1/8, 0.01? 3 Which is the nearest to -1? (a) -0.1 (b) 14 (c) 4 (d) -5 (e) -1/104 (f) 2 a What is the nearest to 0 in -2, -17, 2.94, 1/2, 0, 5? 0 Which is the closest to 4/15? (a) 4 (b) 0 (c) 1/4 (d) -13/444 (e) 0.3 c What is the nearest to 35389/12 in -0.5, -3, -1, 0.03? 0.03 What is the closest to 48131 in 2, -4/3, -3, 3? 3 Which is the nearest to -2/3? (a) -2/5 (b) -68 (c) 4 (d) 90/409 (e) -3 (f) 3 a What is the closest to -0.2 in -258, -0.4, 8534? -0.4 Which is the nearest to -3? (a) -2 (b) 14174414 (c) 0.4 a Which is the closest to -297? (a) 1/11 (b) -5 (c) 21 (d) 2/15 b Which is the closest to -40/3? (a) -4 (b) 3 (c) -1 (d) 29/16 a Which is the nearest to -17? (a) -237/8 (b) -5 (c) -1/2 (d) -3/2 (e) 0.4 b What is the closest to 103184 in -13, -2, 1/5? 1/5 What is the closest to 336 in -2/5, -367, -0.3, -4/9, -1.5? -0.3 What is the nearest to -0.1 in 5, -2.58, 4, 3, 57? -2.58 What is the closest to -27 in 33, 2.2, -15? -15 What is the nearest to -8 in 5, 7, 38.55, -8, 3? -8 Which is the nearest to 1/2? (a) 6 (b) 82 (c) 1/6 (d) 1/9 (e) 15 c Which is the nearest to 0? (a) 51/10 (b) 1.1 (c) -2/17 (d) -652 (e) 2/21 (f) -1 e What is the nearest to 1 in 0.24, -1, -1155, 0.5? 0.5 Which is the nearest to -0.1? (a) 216 (b) 0.3 (c) 3.1 (d) 257 (e) 5 b Which is the nearest to 0.47? (a) -5 (b) 5/27 (c) 1 (d) -23/6 (e) -1/7 b What is the closest to 275 in -125, 1/3, -1, -6? 1/3 What is the nearest to 0.01 in -0.5, -0.4, 5? -0.4 What is the closest to 15.1 in 3.8, 0.2, -5/19, -3/5, -3? 3.8 What is the closest to -2 in 14, -6500, 39? 14 Which is the nearest to -0.1? (a) 1.64 (b) 64 (c) -2/33 c Which is the closest to 1? (a) -6 (b) -2/1422401 (c) -23 b Which is the closest to 1/9? (a) 1 (b) 1/3 (c) 618 (d) -12 (e) -111 b Which is the closest to 14? (a) -0.198 (b) 0.05 (c) -5/6 b What is the nearest to -0.015 in 1/9, 13, 23, 3, -1/6, -1? 1/9 What is the closest to 0 in -1/5, -4, 0.5, 60, 0.4, -29? -1/5 Which is the nearest to -1804? (a) -0.2 (b) 4 (c) 5.7 (d) 1 (e) 7 a Which is the closest to -2/17? (a) -0.2 (b) -1.6 (c) 2 (d) -6 (e) -30 (f) 1/51 a Which is the closest to -2/5? (a) -23/2 (b) -5 (c) -4/5 (d) -285 (e) 6 c Which is the nearest to -19? (a) 31/9 (b) 0.01 (c) 2/3 (d) -6 d What is the nearest to -0.2 in -5, 2907, -49, 3? 3 What is the nearest to -1 in 0.7, 3, -1/3, 139199? -1/3 What is the closest to 0.1 in -4, 5.7421, -5, -1, 3/8? 3/8 What is the nearest to -1 in -7/6, 899, 1/3, -0.06? -7/6 Which is the nearest to 3? (a) -2 (b) -0.2 (c) -10 (d) 0.52 (e) -2.4 d What is the closest to 34 in 3, -28, 24, -2/9, -2/11? 24 What is the nearest to 24/10193 in -4, 2/9, -2? 2/9 Which is the nearest to 2? (a) 1 (b) 4 (c) -69 (d) 28 (e) -9 a What is the nearest to -1 in -1, -9.20017, -0.1? -1 What is the closest to 4 in -0.07, 5/3, 2, 54, 0.009? 2 Which is the nearest to 0? (a) 3/2 (b) 5683 (c) 5 (d) -0.05 d Which is the nearest to 4198? (a) 2 (b) -1/5 (c) 235 (d) 3/2 (e) 4 c Which is the closest to 0.2? (a) 0.09 (b) 588 (c) 0.7 (d) 1 (e) -2 (f) 9 a What is the closest to -2/645 in 411, 8, 16/9, 3? 16/9 What is the closest to 1/283 in -1/3, 0.1, 1/8, 11, -1/4, -119? 0.1 Which is the closest to 26? (a) 0.2 (b) -1/505 (c) -0.1 (d) 3 d Which is the closest to -2/5? (a) 3/2 (b) -0.5 (c) -2/2205 (d) -0.0273 (e) 8 b Which is the closest to 6/7? (a) -1/23 (b) -9.12 (c) 4 (d) 1 (e) -14 d Which is the closest to 3? (a) -3/5 (b) 136 (c) 2 (d) 0.5 (e) -1.05 c What is the closest to -1/2 in 0.91, 4, -3/7, 318? -3/7 Which is the nearest to 1? (a) 14 (b) 1/7 (c) 0 (d) -9610 (e) -1/4 b What is the nearest to 627 in 3/5, 158, -99? 158 What is the closest to -1/4 in 5, 1090, 5/6, -144? 5/6 Which is the closest to -1? (a) -0.5 (b) 0 (c) -0.4 (d) -36 (e) -1.095 e Which is the closest to -1? (a) -17/9 (b) -3/8 (c) 2 (d) 167 (e) 3 (f) -11 b What is the nearest to -2/5 in -443/2, -9/4, 0.329, -3? 0.329 What is the nearest to -0.1 in 2/13, -23, 16395? 2/13 What is the closest to 1/94 in 0.054, -56, 1? 0.054 What is the nearest to 701 in 25458, 2, -2/11? 2 Which is the nearest to -1/3? (a) 0 (b) 4 (c) 124649 a Which is the closest to 0? (a) -3 (b) 1883.8 (c) -1 (d) 65 c What is the closest to 0 in -3, -0.39, 3/5, -118, -2? -0.39 Which is the nearest to 36? (a) 175202 (b) -4 (c) 5 (d) 1/4 c What is the closest to -1 in 6181, -15, -3/29? -3/29 Which is the clos
{ "pile_set_name": "DM Mathematics" }
value in y, -1, w? y Let u = -3.9 - -3.86. Which is the third biggest value? (a) u (b) 5 (c) -5 c Let z(d) = -d**3 + 7*d**2 - 9*d + 8. Let n be z(6). Let x(t) = -t**3 - 10*t**2 + t + 9. Let a be x(n). What is the third biggest value in -0.1, a, -0.2? a Let y = 29.5 + -26.51. Let q = -7.01 - -7. Let p = y - q. Which is the biggest value? (a) p (b) 1 (c) 3/2 a Let p = 1 + -1.5. Let l = -4 - -3.95. Let o = 4.05 + l. What is the second smallest value in o, p, 1? 1 Suppose -3*k = -y + 440, 2*y + 8 = -0*y. Let b = 1034/7 + k. What is the third smallest value in -0.1, -1, b? -0.1 Let r = -13 - -11. What is the second biggest value in 5, r, 14? 5 Let h be (-1)/2*-3*-2. Let l be (0 + 3/(-2))/h. Let w = -8 - -3. What is the smallest value in 0.3, w, l? w Let m = 0.06 - 0.06. Let u = -0.1 - m. What is the second smallest value in 1/6, u, 0.2? 1/6 Let q = -0.391 - 0.009. What is the fourth smallest value in q, 4, 31, -0.5? 31 Let a = -9.6 + 9. What is the second biggest value in -5, 3, a? a Let h = -0.364 + 0.084. Which is the second biggest value? (a) -0.2 (b) 0.3 (c) h a Suppose 18 - 10 = 4*n. Which is the third smallest value? (a) -2/15 (b) 0.4 (c) n c Let c = -13 + 8. Let q = -4 - c. What is the third smallest value in -2, q, 2? 2 Let x = 21 - 19. Let f be ((-3)/(-6))/(2/12). Let i be 1/x + f/(-54). Which is the biggest value? (a) i (b) 1 (c) -1 b Let f = 0.49 - -0.11. Let m = f - 0.5. What is the third biggest value in 0.4, 3, m? m Suppose -2*r - n + 9 = 0, -5*n - 2 = -r + 8. Suppose 1 = -3*o + 4. Which is the second smallest value? (a) -2 (b) o (c) r b Let t = -0.3 + -1.7. Let l be (3/(-5))/(1/(-15)). Let k be 4/(-18) - (-5)/l. What is the third biggest value in t, k, -4? -4 Let n = -0.02 - -1.02. Let o = 0.5 - n. Let w = -2 + 1.8. Which is the third biggest value? (a) 5 (b) w (c) o c Let d be (-2)/10*(-170)/51. Which is the third biggest value? (a) d (b) 2/5 (c) -9/2 c Let l = 155 - 1087/7. Let f = 13 + -17.8. Let j = -5 - f. Which is the third smallest value? (a) 0.5 (b) j (c) l a Let u = 11 - 6. Suppose -2*y = -3*y - 5. Let d = -2.9 - -3. What is the smallest value in d, u, y? y Let l(k) = k + 8. Let o be l(-6). Suppose b - o*n = 2, 0 = -3*b + 7*b - 2*n + 4. Let a = -193/6 + 32. What is the smallest value in b, -3, a? -3 Let h = 1 + 2. Let q = h + 1. What is the second biggest value in 1/5, 5, q? q Let m = -1.5 + 1.4. What is the smallest value in 0.3, 1, m? m Let u = 2/1941 - 4541/11646. Let k = 5/9 + u. Let g be ((-2)/(-14))/((-2)/2). What is the biggest value in k, -2/9, g? k Let a = -7.4 - -14.3. Let c = -7 + a. What is the second smallest value in c, 2/5, 3? 2/5 Let p = 3 + -3.3. Let g = -0.4 - -2.4. Let n = 0 + g. Which is the biggest value? (a) p (b) -2/5 (c) n c Let i = 6 + -5.7. Let l = -0.266 + -0.234. What is the second smallest value in i, 4, l? i Let i = -2.25 - -0.25. What is the second smallest value in -0.5, i, -9, 1/4? i Let u = 29 - 29.5. Which is the third biggest value? (a) -0.4 (b) -6 (c) u b Let x = 253 + -259. Let q = 1 - 0. What is the second biggest value in x, 0.5, q? 0.5 Let q be (-18)/81 + 1 + -1. What is the third smallest value in 10, 0.3, q? 10 Let s = 2 - 0. Suppose 0 = -s*v - x - 8, -v - 9 - 9 = 4*x. Let h = 4 + -7. Which is the third biggest value? (a) 4 (b) h (c) v b Let s(u) = -u - 1. Let w be s(3). What is the third biggest value in 5, 1, w? w Let a be 8/60*-1 - 0. Let g = a - -23/60. What is the biggest value in g, 0.1, 2/5? 2/5 Let q = 256 + -256.4. Let a = 0 - 0.1. What is the biggest value in -3, q, a? a Let x = -30 + 29.8. Which is the third smallest value? (a) 3 (b) x (c) 4 c Let p = 1.6 + -1.9. Let y = -2.3 - p. What is the biggest value in y, -3, -0.2? -0.2 Let d be ((-2)/4)/(1/(-10)). Suppose y + 3*i = -8, -5*y = 5*i + d + 25. Which is the second biggest value? (a) y (b) 1 (c) -3 c Let n = -2/117 - 103/819. Let r = -1050.9 + 1051. Let y = 77 - 229/3. Which is the third biggest value? (a) y (b) r (c) n c Let x = 0.4 + -1.4. Let q = 0.2 - 0. What is the third biggest value in q, x, 5? x Let p = -1.3 - -3.3. What is the third smallest value in 4, -3, p? 4 Let d be 2/7 + 2/7. Let q = -0.37 - 3.53. Let j = q - -4. Which is the biggest value? (a) j (b) d (c) 0 b Suppose 5*r + 49 = 224. Let k be 2/7 + (-7570)/r. Let n be (-4)/(-22) - k/(-462). What is the second biggest value in 5, n, 2/11? 2/11 Let v = -2 - -5. Let i = 0.9 - -0.1. What is the biggest value in 0, v, i? v Let m = -1.8 - -0.6. Let w = m - -4.5. Let n = w - 0.3. What is the third smallest value in n, 0.3, 1? n Let x = 6 - 11. Let l be (-4)/16*4/5. Which is the third smallest value? (a) l (b) x (c) 1 c Let v(f) = f**2 + 7*f + 2. Let l be v(-7). Let o be ((1 - 2) + 1)/l. What is the third biggest value in o, 4, -3? -3 Let q = -27 - -18. Let m = q + 4. Let t = -5.3 - m. What is the third biggest value in 0.5, 0, t? t Let o = 5 - 1. Let b = 171/11 - 888/55. Let t = -2045/8 - -256. What is the second biggest value in b, o, t? t Let t = 0.2 + -0.3. Suppose -5*g + g + 80 = 0. Let j be 4/g*(-15)/(-2). What is the second biggest value in -1, t, j? t Let r = 106.9 + -107. Which is the biggest value? (a) 0.2 (b) r (c) 0.06 (d) 1/11 a Let y be (-24)/(-64)*6 - (4 - 1). Let m be (-6)/14 + 2 + -1. What is the third smallest value in y, m, -4/7? m Let y = -13 - -9. Let a be ((-3)/2)/(6/y). What is the third biggest value in a, 5, -2? -2 Let v = 0.24 + -0.54. Let p = 0.2 - v. What is the smallest value in -1/6, p, -0.3? -0.3 Let l = 206 + -1852/9. What is the smallest value in -1, l, 5? -1 Let y = 128 - 1666/13. Which is the third smallest value? (a) y (b) -1.2 (c) 0 c Let t = 2.7 - 13.7. Let l = 15 + t. Which is the third biggest value? (a) -1 (b) l (c) -4 c Let s = 0.3 - -2.7. Let i(h) = h + 7. Let o be i(-4). Let t be 1*o*2/(-12). Which is the second biggest value? (a) s (b) 0 (c) t b Let k = 2.91 - 0.92. Let t = -0.01 - k. Let r = 8 - 8.3. What is the third biggest value in r, -0.1, t? t Let h = 1.5 + 11.5. Let d = 8 - h. Let n = -3 - -2. Which is the second smallest value? (a) n (b) d (c) -0.2 a Let n = -0.8 - -1.1. Let y = -0.8 - -1. Let u = y - n. What is the biggest value in u, 3, -2/15? 3 Suppose 0 = 2*j + s - 60, 0*s + s = j - 30. Let m = j + -59/2. What is the third biggest value in 0.4, -3, m? -3 Let k be (-2)/(-4) - (-2)/(-3). Let n = -0.5 - 3.5. Let j = n + 5. Which is the third biggest value? (a) k (b) -2 (c) j b Let o be ((-42)/(-39) - 1)/(-1). Let a = o - 45/91. What is the smallest value in -0.5, -4, a? -4 Let p be ((-2)/(-5))/((-1687)/35). Let m = -885167/5 + 85330151/482. Let s = m + p. What is the smallest value in s, 4, 2/3? s Let z = 97/5 - 19. Let c be (1/18)/1*2102. Let g = -117 + c. What is the second biggest value in z, g, 2/9? 2/9 Let g = 22 + -25. Which is the third biggest value? (a) -2/7 (b) g (c) 1 b Let j = -0.4 - 0.1. Let o = 121 - 367/3. Suppose 4*n = -4*q - 8, 0 = -3*q + 3*n - 3 - 3. Which is the second smallest value? (a) o (b) q (c) j a Let p = 26 - 31. What is the third smallest value in -0.4, p, 6? 6 Let t = 25 - 21. Which is the fourth biggest value? (a) t (b) 0.09 (c) -0.4 (d) 1/6 c Let l = -0.072 - 2.928. What is the third biggest value in -1/10, l, -0.3? l Let t be 3/((-54)/16)*49/196. Which is the third smallest value? (a) 15 (b) t (c) -4 a Let o(j) = j**2 - j + 13*j - 3*j + 12. Let l be o(-7). Let f = 3 + -8. Which is the biggest value? (a) -0.1 (b) l (c) f a Suppose -4*y - 3*g - g + 12 = 0, -4*g + 15 = y. Which is the biggest value? (a) -4 (b) y (c) 2/17 c Let g = -2/87 - 334/609. Let k = -26 + 23.6. Let v = k - 0.6. Which is the third biggest value? (a) v (b) g (c) -4 c Let i = 3.4 - 3.4. Which is the third biggest value? (a) 1/4 (b) 1 (c) i c Let w = 0.08 + -0.28. What is the third smallest value in -2, w, -1/9? -1/9 Let p = -7 + 11. Let k = 0 - 1. Let s be -4 + (0 - k) - -8. Which is the smallest value? (a) p (b) -2/9 (c) s b Suppose 0 = 2*f, f = 4*h - 0*f + 16. Let k be 10/h*(-4)/(-85). Let t = 76.2 - 76. What is the third smallest value in 5, t, k? 5 Let y = 1200.6 - 1201. Let o = -3 - -7. What is the third smallest value in y, -11, o? o Let p be -2*9/6 + -3. Let s = p + 6. Which is the third biggest value?
{ "pile_set_name": "DM Mathematics" }
plify ((j*j**6)/(j**(-1/17)*j))/(j/(j/j**(-12))*j**1) assuming j is positive. j**(290/17) Simplify (k**9*k)/k**(-5)*(k/k**(2/11))**41 assuming k is positive. k**(534/11) Simplify ((z*z*z*(z/z**(-2/9))/z)**10*z**4*z**(4/5))**(-1) assuming z is positive. z**(-1666/45) Simplify (u**(2/99)*u**(1/8))/(u**(-5/4))**(-10/9) assuming u is positive. u**(-985/792) Simplify a/a**(18/5)*a**(-2/27)*(a*a*a**25/a)**14 assuming a is positive. a**(48779/135) Simplify ((b**2/b**5)/(b**(2/3)*b/(b/b**(-2/21)*b)))**(-27/4) assuming b is positive. b**(243/14) Simplify (g**(-15)/(g*g**(-9)*g))/((g**7*g)/(g/(g**(-3/8)/g*g))) assuming g is positive. g**(-117/8) Simplify (x**(-1/4))**(-8/5)*(x/((x*x**(4/9))/x)*x)/(x*x**(8/7)) assuming x is positive. x**(-59/315) Simplify ((x**(-3)/x**(4/9))/(x**(-1/2)*x)**(-12/17))**(-42) assuming x is positive. x**(6622/51) Simplify (y**(-5))**1*((y**(-9/2)/y)/y)/(y**(-18)/y) assuming y is positive. y**(15/2) Simplify (((t*t*t**(6/5))/t)/(t**(9/2)*t*t))/((t**0/t)/t*t**(-5)/t) assuming t is positive. t**(37/10) Simplify (((o*o*o**(2/33))/o)/(o**(2/41)*o))**9 assuming o is positive. o**(48/451) Simplify s**3*s**(-11/4)*s/(s**17*s)*s**(1/2) assuming s is positive. s**(-65/4) Simplify (o*o/(o**(2/13)*o)*o*(o*o/(o*o*o**(-4/3)/o)*o)/o*(o**(1/4))**(3/11))**(-13/6) assuming o is positive. o**(-7289/792) Simplify (((q/q**1*q)/q)**1*(q/q**3)/q*q*q/(q*q**(-2)/q))**(5/13) assuming q is positive. q**(5/13) Simplify (((b**(-10)/b)/b)/(b/(b*b**(-2/17))))/(b**16*b**(1/9)) assuming b is positive. b**(-4319/153) Simplify (a/((a/a**(-4))/a)*a*(a*a*a/(a**4*a))/a*a)/(a/(a**18*a)*a*a/(a/a**17)) assuming a is positive. a**(-4) Simplify v/((v**(-14)/v*v)/v)*v*v**(1/6)*v*v**(-3/8)*v/v**(-1/30) assuming v is positive. v**(753/40) Simplify ((x**(-2)/x**6)/(x**(-2)*x**(-5)))**(-15/8) assuming x is positive. x**(15/8) Simplify (i*i*i**6)/((i**(1/31)/i)/i)*(i/(i/(i**(1/21)*i*i)))/(i**(-10)*i) assuming i is positive. i**(13681/651) Simplify (l**(5/2)*l/(l/(l/l**10))*l)/((l/(l/(((l*l/(l*l**(-1/30)))/l*l)/l)))/l*l**1) assuming l is positive. l**(-83/15) Simplify ((k**(-14)*k)/k*k/(k/((((k/(k/k**(-6)))/k)/k*k*k)/k)))/(k**(5/2)*k*k**(-2/5)) assuming k is positive. k**(-241/10) Simplify (j**(2/19)/j)**(1/4)*j**(1/3)/j**(-14) assuming j is positive. j**(3217/228) Simplify (q/q**(-1/4))**(1/55)/((q**(2/13)*q*q)/q*q**(-8)) assuming q is positive. q**(3929/572) Simplify ((m*m*m/((m*m*m**(-2/11))/m))/m*m**(2/5))/(m/m**(-7)*m*m**(2/3)) assuming m is positive. m**(-1334/165) Simplify ((m*m**(-2/5))/(m*m*m*m*m*m/(m*m**12)*m))**(-2/3) assuming m is positive. m**(-22/5) Simplify (((i*i**(2/119))/i)/i*i**(-36))**15 assuming i is positive. i**(-66015/119) Simplify ((r**13/r*r)/(r**(-20/3)*r))**(-47) assuming r is positive. r**(-2632/3) Simplify (y/((y*(y*y**(-1/5)*y*y)/y)/y))**30/(y/(y/(y/(y*y*y*y**(3/7)))))**(1/38) assuming y is positive. y**(-6367/266) Simplify (w/(w/(w*w**(-3/5)*w)))/w**(-4)*w**(1/10)*w*w*w/w**(-7/4) assuming w is positive. w**(41/4) Simplify (b/b**15*((b/b**(-2/7)*b)/b)/b)**(3/8) assuming b is positive. b**(-36/7) Simplify ((d**(-2/7)*d)**(-16)/(((d**7*d)/d)/d**9))**(-41) assuming d is positive. d**(2706/7) Simplify j**10/j*j/(j*(j*j**(-4/9))/j*j)*j**4*j/(j**(-4)/j) assuming j is positive. j**(166/9) Simplify (((v**(2/7))**(2/51))**(-24))**17 assuming v is positive. v**(-32/7) Simplify (((c**(-2/3)/c)/c)**(-16)*(c**0)**(2/23))**(5/9) assuming c is positive. c**(640/27) Simplify (z**(-2/15)/z**(-2/9))**(32/7) assuming z is positive. z**(128/315) Simplify (((r/(r*r**(-2/5)/r))/(r/r**5))**10)**20 assuming r is positive. r**1080 Simplify (d/(d/(((d*d**10)/d*d)/d))*(d/d**8*d)/d)/(d**(-9)/(d**(11/2)/d)) assuming d is positive. d**(33/2) Simplify (s*s**(3/4)*s*s)**14/((s**(-7)/s)/(s*s**7)) assuming s is positive. s**(137/2) Simplify g**(-18)/g**(-20)*g**(-2/19)/(((g*g*g**(-5/6)*g*g*g)/g)/g) assuming g is positive. g**(-31/114) Simplify (((i/i**(-3/10))/i**(-2/9))/(i**(-1/4))**(-27))**2 assuming i is positive. i**(-941/90) Simplify (d**(1/37)/(d**(-1/4)/d*d*d))/(d**(3/2))**(4/11) assuming d is positive. d**(-2065/1628) Simplify u**(6/5)*u*u/(u/(u/u**(4/7))*u)*u*u*u**(-5)*u**14 assuming u is positive. u**(442/35) Simplify (i**(1/4))**(-1/5)*(i**0/i)/i**(-1/4) assuming i is positive. i**(-4/5) Simplify (q**(1/2))**(-2/13)*q/q**(1/15)*q/((q*(q*q/(q**(1/4)*q))/q)/q) assuming q is positive. q**(1643/780) Simplify (r**(-8/5)/(r*r**(3/11)))**(-43) assuming r is positive. r**(6794/55) Simplify (d*d*d/(d/((d*d*d/(d/d**20)*d*d)/d)*d)*d*d*d)/d**(-3/23)*d*d*d**30*d*d*d/(d/(d**(-9/8)/d)*d)*d assuming d is positive. d**(10857/184) Simplify (n/(n*n**(-2/27)))/(n*n/(n**(10/9)/n)*n)*(n*n**(4/7))/(n**14/n) assuming n is positive. n**(-2692/189) Simplify ((l**(1/3)/(l*l**12))**(2/9))**(-44) assuming l is positive. l**(3344/27) Simplify ((p**(-2/59)*p)/p*p)/(p*p*p/p**(-9)*p)*(p/p**(-17))**24 assuming p is positive. p**(24778/59) Simplify ((g**(-2/5)/g)**7/((g*g*g**(1/8))/g*((g**(-3/8)*g)/g*g)/g))**50 assuming g is positive. g**(-1055/2) Simplify ((o*((o/o**(-37))/o)/o)/(o/(o/(o*o**33))*o))/(o/(o*o**(-23)/o))**(-46) assuming o is positive. o**1106 Simplify ((p**32/p)/(p/p**(4/19)*p*p))**19 assuming p is positive. p**536 Simplify ((h**23*h*h)**(21/8))**(1/5) assuming h is positive. h**(105/8) Simplify (a**(-1/16)/a**(-8))/(a/(a/(a*a*(a**(-24)*a)/a))*a*(a*a/(a/a**(1/3))*a)/a) assuming a is positive. a**(1325/48) Simplify (o/(o/o**6))**42/(o**(1/2)*o**(1/11)) assuming o is positive. o**(5531/22) Simplify (k**(-4))**(-5)*((k*k*k**(-20/7))/k)/k**(3/2) assuming k is positive. k**(233/14) Simplify (c*c**(-8)*c)/(c*c**6)*c**(-4)*c**0 assuming c is positive. c**(-17) Simplify ((w*w*w*w/w**(-4/3))/(w*((w*w**(15/4)*w)/w)/w))**(-1) assuming w is positive. w**(-7/12) Simplify (((a**(-13/6)*a)/a)**(-6/19))**(2/13) assuming a is positive. a**(2/19) Simplify (i*i/(i/i**(-3/2))*i*i)**(-18/7)*(i/(i/(i/(i/((i/(i*i**5))/i)))))**2 assuming i is positive. i**(-111/7) Simplify (((f*(f**(-1)*f)/f*f)/f**(-2))/(f*f/f**(1/2))**(1/20))**(-1/92) assuming f is positive. f**(-117/3680) Simplify (z**(-4/7))**(1/19)*z**17/z**(-4/9) assuming z is positive. z**(20845/1197) Simplify (q**6/q**(9/4))/(q/(((q*q**0)/q)/q))**(-10) assuming q is positive. q**(95/4) Simplify ((j/j**(-18))/(((j/((((j**12*j*j)/j)/j)/j))/j)/j*j))/(j**(2/13)*j*j*j*j)**(-4/9) assuming j is positive. j**(414/13) Simplify (b*b/(b*b**(5/2)))/(b*(b*b**(-2/11))/b*b)*(b**(4/9)/b)/b**(-16) assuming b is positive. b**(2401/198) Simplify ((l*l**13/l)/(l*l*l*l**(2/37)))**(1/21) assuming l is positive. l**(368/777) Simplify l**(-3/20)/(l**(-3)/l)*l**(2/21)/(l*l**(3/10)) assuming l is positive. l**(1111/420) Simplify (((m*(m*m**(1/10)*m)/m)/(m*m*m**(-7/3)))/(m**6*m**8))**(-1/4) assuming m is positive. m**(347/120) Simplify (c**(2/5))**(23/2)/(c/(c*c**(3/8))*c/c**11) assuming c is positive. c**(599/40) Simplify (((b**(-1/3))**(-6))**(-13))**14 assuming b is positive. b**(-364) Simplify ((f*f**(1/7))/f)/f*(f*f/(f*f**(-17)))/f*f*f/(f/f**(1/2))*f*(f*(f*f**(-2/5)*f)/f)/f assuming f is positive. f**(1347/70) Simplify ((g**(-3/5)*g)/g)**(-10/9)*g**5/(((g*g**(5/2))/g)/g) assuming g is positive. g**(25/6) Simplify f**(-24)*f**(-17)*(f**(1/3))**6 assuming f is positive. f**(-39) Simplify (k**(4/11)*k)/k**(-2/45)*(k**(-12)*k)**(-2) assuming k is positive. k**(11587/495) Simplify ((((m**2*m)/m)/m)/m)**11/(m*m**(2/7))**(-1/6) assuming m is positive. m**(3/14) Simplify (h**(2/15)*h/(h*(h/(h*h**(1/9)/h*h))/h)*h/(h*h**0/h*h)*h*h/(h**(3/4)*h)*h*h)**(1/3) assuming h is positive. h**(629/540) Simplify (d**(-2/15)/d**2*(d/d**0)/d**(-2/13))**39 assuming d is positive. d**(-191/5) Simplify ((k*k**(-7/3)*k)/(k*k**8))/((k*(k*k*k**(-1/13))/k*k)/(k*k**(-7/2)*k)) assuming k is positive. k**(-1073/78) Simplify ((n*n**(-1))**39*n/((n*n**4)/n)*n**(-2)/n)**(2/69) assuming n is positive. n**(-4/23) Simplify (z*z**32*z)/z*z*z*z**(-10/7)*z*z*((z*z*z/z**20)/z*z*z)**(-32) assuming z is positive. z**(3833/7) Simplify (b**5*b*b**0*b)/(b**(2/7)*(b**14*b)/b) assuming b is positive. b**(-51/7) Simplify (((l*l**1)/l)**(-3)/(l**2/(l/(l/(l*l**(-4))*l))))**(-4/11) assuming l is positive. l**(36/11) Simplify ((x/(x/(x*x**10))*x/(x*x**3))/(x*x**0*x**(-1/22)))**(-41) assuming x is positive. x**(-6355/22) Sim
{ "pile_set_name": "DM Mathematics" }
g (b) f (c) -4 a Suppose 4*u - 5 = -h, -4 = -2*u - h + 1. Let i = 1 + u. Let m = 4.7 - 5. Which is the closest to 1/4? (a) -3 (b) i (c) m c Let j be (-21 - 0) + 8 + 8. What is the closest to 1 in 3/5, j, -4/13, 2/19? 3/5 Let q = -3.1 - -3. Let d = -150/13 + 437/39. Which is the nearest to d? (a) -1 (b) -3 (c) q c Let f = -18 + 12. Let b be (8/f*3)/(-2). Suppose -5*g + 5 = -4*q, -2*q + 1 = b*g - g. What is the closest to 4 in -2, 1, q? 1 Let g = 279.5 - 280. What is the closest to 0.1 in g, 0.4, 9/2? 0.4 Let d = 0.11 + 2.89. Let w = 87.3 + -95. Let k = w - -8. Which is the closest to -1/2? (a) k (b) 0 (c) d b Let f = -25.5 + 25.41. Which is the nearest to 1? (a) 0.1 (b) f (c) -1 a Let w = -149.78 - -151. Let s = -0.22 + w. What is the closest to s in 1/3, 1, 0.5? 1 Let z(j) = 2*j**3 - j**2 + j + 2. Let t be z(-1). Let y be 6*(-4 - 27/(-6)). Which is the nearest to -0.2? (a) t (b) 2 (c) y a Suppose -9 - 16 = 5*u. Let g = 0.5 - 0.7. Let d be (2/(-15))/((-10)/6). What is the nearest to g in u, d, -1/3? -1/3 Let o = -3.7 + 3.7. Let g = 9 - 2. Let u be 1/(-7) + 3/g. What is the nearest to o in 1/10, -3, u? 1/10 Let x = 3.2 + -32.7. Let d = x + 29. Which is the nearest to 0? (a) d (b) -3 (c) 0.1 c Let v(j) = j**3 + 2*j**2 - 1. Let d be v(-1). Let p be -1 + 57/15 - (45 - 43). What is the closest to d in -0.3, p, 2? -0.3 Suppose 4*k - 2*k = 3*i - 11, 0 = i + 4*k - 13. Let n(j) = j**3 - 4*j**2 - 5*j - 4. Let f be n(i). Which is the closest to -0.2? (a) 0 (b) f (c) 1 a Let f = -289 + 289.1. Let u = -0.9 + 0.9. Let s = -0.4 + 0.7. Which is the closest to u? (a) s (b) -0.5 (c) f c Let o = -98.92 + 1.92. Let s = o + 106. What is the nearest to s in 1, 0.5, 2/7? 1 Let v = 0.06 - -1.94. Let q = 13 + -10. Let y = v - q. What is the nearest to y in -0.2, 2/17, 0.5? -0.2 Let t = 3408 - 3412. Let p = -0.1 - -0.2. What is the nearest to -2/7 in -0.06, t, p? -0.06 Suppose -2 = y - 2*y. Suppose 0 = -i + 3 - y. Let x = 55/4 - 57/4. What is the closest to i in -0.4, 0.5, x? 0.5 Let u = 1712 - 1715. Which is the nearest to u? (a) -0.2 (b) -0.1 (c) 4 (d) 2/5 a Let f be -1*(-50)/(-6) + 6/(-9). What is the nearest to -1 in 2/9, -6, f, -2/3? -2/3 Let u = 1166 - 1165. Let y = 72 - 214/3. Which is the closest to u? (a) y (b) -1/7 (c) 1 c Let y = 0.57 - 29.57. Let i = 21 + y. Let o = -4 - i. Which is the closest to 2/3? (a) 0.1 (b) o (c) -3 a Let h = -7068.6 + 7069. Suppose 0*l = l - 4. Which is the nearest to -3? (a) h (b) -5 (c) l b Let p = -1/529 - 1049/4761. Which is the nearest to -1? (a) 13 (b) p (c) 3 (d) 5 b Let b be 2/(-1) - (19 + -29). Let t be (7/42)/((-2)/b). What is the closest to 3 in -1, t, 1? 1 Let h = -426 + 424. What is the closest to -2/3 in 2/5, h, 3, 0.1? 0.1 Suppose 9*g + 0*g = 6*g. What is the nearest to g in -1/4, 0.5, 2/3? -1/4 Let m = -1.2 + 1.4. Let l = -41 - -24. Let p = l + 21. What is the closest to m in -0.3, p, -5? -0.3 Let k = -2.19 + 1.1. Let t = 0.09 + k. Suppose -7*u + 332 - 311 = 0. What is the nearest to t in 2, u, 0? 0 Let b = 0.038 + 4.362. Let i = b - 1.9. Let n = i - 2.7. What is the nearest to -2 in n, -0.4, 0.3? -0.4 Let g be (-85)/(-20) - (6/(-8))/(-3). Let q = 73 + -73. What is the closest to -3/35 in q, -4/5, g? q Let t = -672 + 4702/7. Which is the nearest to -0.2? (a) -4/3 (b) t (c) 0.07 (d) -1 b Let p(f) = -f - 7. Let q be p(-6). Let t be (-3)/(-2)*6*(-10)/(-45). Suppose t*x - 10 = 0, 5*x - 21 = -5*w + 6*w. What is the closest to q in w, 0.4, -0.4? -0.4 Let i(r) = -r**2 - 15*r - 52. Let k be i(-7). Let a(p) = 4*p + 1. Let x be a(1). What is the nearest to -1/3 in k, -1, x? -1 Let v be -2*(-111)/21 - 11. Which is the closest to 3/7? (a) 4/5 (b) v (c) 6 (d) 5 a Let g be (2/(-6) - 34/51)*0. What is the closest to -2/55 in 5, -2, g, 0.2? g Let b = -1 + -8. Let a = b - -11. Suppose -u + n - 7 = -a*u, 5*u = n + 5. What is the nearest to u in -2/11, -1, -0.3? -2/11 Suppose 7*d - 11*d = 4. What is the nearest to d in 0.06, -4, -2/5, -0.3? -2/5 Let q be ((-10)/(-4))/((-630)/(-252)). Let n = -5 - -5.3. Which is the closest to 3? (a) q (b) 3 (c) n b Let r = -8.83 + -0.17. Let k = -0.11 + 7.11. Let n = k + r. Which is the nearest to 3/4? (a) -4/3 (b) n (c) 5 a Let v = -2/535 - -109/535. What is the closest to v in 2, -7/8, -2? -7/8 Let o = -8 - -3. Let q = -0.359 - -0.359. Let u(n) = -n - 9. Let r be u(-7). What is the nearest to q in 3/2, r, o? 3/2 Let t = 10 + -10.1. Let r = 619/4 + -154. Which is the nearest to -2? (a) r (b) 4/7 (c) t c Let o = -521 - -522. What is the nearest to o in 1/23, 3/5, -0.4? 3/5 Let n be 200/72 + (-2)/(-9). Which is the nearest to -5/4? (a) 5 (b) n (c) -1 c Suppose x + x - 9*x = 0. Let o be (-1)/(-1 + 2 + (x - -4)). Which is the nearest to 1? (a) -6/11 (b) o (c) 2/3 c Let z = 0.2 - 0.2. Let j = -1.3 + -2.1. Let i = j - -0.4. What is the nearest to z in 0, -2/5, i? 0 Let q be 5 - 2 - 0/2. Suppose 3*h - q*x + 3 = 0, 0*x = -5*x + 20. Let m = -26/3 - -49/6. Which is the nearest to m? (a) -5 (b) 5 (c) h c Let k = -5 - -3. Let r be ((-63)/(-36))/(-7) - 2/(-4). Which is the nearest to r? (a) -2/7 (b) 3 (c) k a Let a be -5 + 10 + 203/(-42). What is the closest to 1.2 in a, 4, 5? a Let b = -144 - -177. Let n = -35 + b. What is the nearest to 0 in n, 3/8, 5? 3/8 Let y = 2.3 - 0.3. Which is the closest to y? (a) 2 (b) -1/8 (c) -0.4 a Let g(c) = c**3 - c**2 - 2 + 0 + 0. Let u be g(2). What is the closest to 0 in u, 0.1, -1/4? 0.1 Let t(k) = -16*k + 3. Let n be t(0). Which is the nearest to -2? (a) 0.1 (b) n (c) -3 c Let l = -7 + 13. Let f = 9 - l. Let z = f + -2. Which is the closest to z? (a) -1/4 (b) 0 (c) 5 b Let z be 4*(-8 + 0)/(-64). What is the closest to 2/3 in 8, z, -2? z Let t be (-19)/4 - 5*(-18)/30. What is the nearest to 1 in -5, t, 0.6? 0.6 Let u be (9/(-3))/((-6)/(-616)). Let i be 12/u*(-2)/(-6). Let q = 236/385 + i. Which is the closest to 1/3? (a) 0.4 (b) q (c) -5 a Let y be (-51)/(-99) - (-8)/(-24). Let p(n) = -n - 2. Let z be p(6). Let w = z - -6. What is the nearest to y in 0.2, w, -0.1? 0.2 Let x = 9.2 + -18.5. Let k = -9 - x. Which is the nearest to -1/3? (a) k (b) 4 (c) -0.06 c Let p = -5 - -9. Suppose -q = 5*j - 10, 428 = -5*j - 2*q + 443. Which is the nearest to -1? (a) j (b) p (c) -1 c Let o = 0.7 - 28.7. Let a = o - -18. Let w = a + 11. What is the nearest to w in -5, 2/9, -0.1? 2/9 Let k = -9 - -10. Let p be (57/(-7) + 4)/(2/(-76)). Let g = 157 - p. Which is the nearest to -2? (a) 2/5 (b) g (c) k b Let u be 3 - -11 - (-27 - -43). Let g be 1*(-1)/4 + 0. Which is the closest to -2? (a) 1 (b) u (c) g b Let y = -0.1303 - -5.1303. What is the nearest to -0.2 in 0.4, y, -2.5, 0.2? 0.2 Let g = 56 + -56.062. Let z = g - -7.062. Which is the closest to z? (a) 0.2 (b) -0.5 (c) -0.1 a Suppose -92*t + 134*t - 84 = 0. Which is the closest to 0.4? (a) -0.4 (b) t (c) 0.01 c Suppose 2*r + v - 1 = 0, -3*r + 2*r = 3*v - 8. Suppose u = 2*u + 1, -3*i + 1 = 2*u. What is the closest to i in r, -5, -4/9? -4/9 Let t = -110.1 - -110. Let b = 0.7 + -0.2. What is the closest to t in 5, 0.3, b? 0.3 Let p = 374 - 375. What is the closest to 1 in -10, 2, p, 2/17? 2/17 Let j = -10 - -14. Let k = -402 - -227. Let c be k/(-294) + (0 - (-3)/(-7)). What is the closest to -1 in 1, c, j? c Let z(d) = d - 4. Let w be z(4). Let m(t) = 2*t**2 + 23*t + 11. Let r be m(-11). Which is the closest to w? (a) 3 (b) r (c) -0.1 b Suppose 9 = 3*w - 0*w. Let f = 1.29 - 0.29. What is the closest to -1 in w, 1/4, f? 1/4 Let i(k) = k - 5. Let z be i(3). Let w = 239/63 + -25/7. Suppose 0*c = 2*y - 4*c, 0 = -2*y + 3*c + 1. What is the nearest to w in z, y, -2/5? -2/5 Let u = -0.194 + 0.294. Which is the nearest to u? (a) 3 (b) -2 (c) -0.02 c Let v be 2 + 96/(-40) - (-13)/(-5). Suppose s - 2 + 3 = t, 2*s + 6 = 4*t. What is the nearest to 0 in s, -0.3, v? -0.3 Let g = 934 - 935. Which is the closest to g? (a) -1/4 (b) -3 (c) 38 a Let x be 2/(-11) + 8805/48730. Let i = x + -1753/16834. Let w = i - 9/95. Which is the nearest to -1/2? (a) -1/4 (b) w (c) 0 a Let k(w) = -2*w**2 + 13*w + 65. Let l be k(10). What is the closest to 2.5 in 0.2, 3, l, 4? 3 Let n = -3620 - -3619. Let d be (-4)/(-30)*(2 - -1). What is the nearest to n in -4, 0.2,
{ "pile_set_name": "DM Mathematics" }
(g) = 555*g**2 + 94*g - 104. Is d(27) a composite number? True Let g(m) = 37*m**3 - m**2 - 3*m - 7. Let x be g(-4). Let i = -496 - x. Is i composite? True Suppose -35*d + 33*d + z = -84265, 2*d + 2*z - 84256 = 0. Is d a prime number? True Suppose -20*x + 13*x - 731203 = -18*x. Is x composite? True Let l = -236 - -239. Suppose -v - 2*g = -4615, l*g + 2508 + 2092 = v. Is v composite? True Let f(l) = -71*l**3 - 5*l**2 - 14*l - 22. Let s be f(-3). Suppose 1140 = 8*p - s. Is p composite? False Let r be (-2 - (1 - -32))*(-26 - -7). Let o = r - -853. Let u = -371 + o. Is u a prime number? False Is 10/6 - (-232587716)/906 prime? True Is (-52722740)/(-840) + (5/(-6))/5 a prime number? False Suppose 8*h - 269355 = -7*h. Is h a composite number? False Let b be (-1380863)/57 - (-3)/(-9). Let p = b - -44889. Is p a composite number? False Suppose 672*u - 101954 = 670*u. Is u prime? False Suppose -2*l = -3*l - 2*g + 10325, -3*l - 3*g = -30972. Let t = l + -3480. Is t a composite number? True Let d(z) = 1472*z**2 - 520*z - 4073. Is d(-8) composite? True Let w = -988 - -972. Suppose -729 = -2*k + k. Let m = k - w. Is m a composite number? True Let y = -111043 - -340382. Is y composite? True Let i = -56 + 59. Suppose 2*d = -5*w + 296, 2*d - i*w = 2*w + 316. Suppose -p = -174 - d. Is p a composite number? True Suppose 3*b + 3*y + 138 = 0, 2*b + 46 = b - 2*y. Is (-5458)/4*(44 + b) a composite number? False Let t(s) = -s**3 + 19*s**2 - 30*s + 11. Let z be t(15). Let q = z + 90. Is q composite? True Suppose 255*a - 295*a = -3149480. Is a prime? True Let f = -19 - -28. Suppose f*c - 11*c = 0. Is (c + 2/3)/((-18)/(-8289)) a prime number? True Let v = -137 + 141. Let n be ((-626)/v)/(-5 + 45/10). Let x = 1874 - n. Is x a composite number? True Suppose -4*b = -10 + 2. Let l be (8 - 3)*(-2)/b*-1401. Is l/10 - (-4)/8 composite? False Suppose -3663*w - 458909 = -3674*w. Is w prime? True Suppose -34 = -2*o - 42. Let d(u) = -15*u**3 + 5*u**3 - 5*u + u + 3 + 3*u**2 + 12*u. Is d(o) a prime number? True Let d = -5694 - -3029. Let t = 4156 + d. Suppose -6*y + 3*y = -t. Is y composite? True Let b = 162 + -158. Suppose 4*j + 4*y = 4148, b*j + 1851 = 2*y + 6029. Is j composite? True Let x(r) = 59*r**3 - 30*r**2 + 123*r + 1. Is x(5) prime? False Let h(q) = -15631*q - 5471. Is h(-4) composite? True Let c = -102635 + 177804. Is c prime? True Suppose 0 = 310*i - 342*i + 1274272. Is i prime? True Let m(l) = 1543*l**2 + 139*l + 15. Is m(-29) composite? False Let n(h) = -h**3 - 6*h**2 + 2*h + 28. Let q be n(-6). Is q*(34/8 + -4) + 3013 a prime number? False Let q(w) = -212*w + 151. Let l(s) = 53*s - 37. Let y(m) = -25*l(m) - 6*q(m). Suppose 0 = -4*c - c - 40. Is y(c) prime? True Suppose 0 = 3*m + 4*y - 129753, -4*y + 4 = -20. Is m prime? False Let f(w) = -4*w**2 - 4*w + 36 + 22758*w**3 - 37 + 8*w. Is f(1) a prime number? False Is 3254191/9 - 50/(-225) a prime number? True Suppose 82*d + 180*d + 12565955 - 58015881 = 0. Is d prime? True Let a(w) = 1185*w**3 + w**2 - 1. Let p be a(1). Suppose -v - 4*v = 5*h + p, 5*h - 5*v + 1225 = 0. Let o = h - -3060. Is o a composite number? False Let l(r) = -190676*r**3 + 7*r**2 + 15*r + 9. Is l(-1) a composite number? True Let s(t) = t**3 - 7*t**2 + 5*t + 12. Let r(f) = -1 + 5 - 17*f - 28*f**2 + 27*f**2 + 21. Let a be r(-18). Is s(a) a prime number? True Suppose 0*o + o - 60195 = u, -u = -3*o + 180591. Suppose -86*l = -92*l + o. Is l a prime number? False Suppose -3*g - 632 = -d, -d + 2*d - 672 = -5*g. Is 1/(-3)*-6*d a composite number? True Is 8/1 + ((-1991)/(-44)*3352 - -17) a prime number? True Let u = -459 - -452. Is (-5864)/u - (30/42 + -1) a prime number? False Is (-159522)/(-2) + (42/(-12) - 1/2) prime? True Suppose 0 = -o + 22 - 14. Suppose -c = -o*c + 1757. Is c prime? True Let d(z) = -2*z + 9. Let b be d(2). Suppose b*c = -3*r + 6290, 3691 + 2594 = 5*c + 2*r. Is c prime? False Let o(n) = 288*n + 1237. Is o(92) composite? False Suppose 4*m - 30 = 3*w - 8, 3*m + 15 = 0. Is (-8)/(-28) + ((-41088)/w)/4 a prime number? False Let y = 3205232 + -1435285. Is y prime? True Let x be 0 + -3 - (-6)/9*-12. Let m be 1*(x - -4)*17. Let d = 168 + m. Is d a prime number? False Suppose -43 + 13 = -5*a. Let r(j) = 33 + 76*j + 12 + a. Is r(28) prime? True Let t be ((-4)/6)/((-6)/9). Let d = 124 + -110. Let c = d - t. Is c prime? True Let g = 463 + -458. Suppose 4*z + 14139 = g*k, 2*z - 7*z + 8476 = 3*k. Is k a composite number? True Let b be (27 + -30)*(-4)/(-18)*-3. Is b*((-82856)/(-16) + 5) composite? True Let v be -3*((-5)/(-1))/(-5). Suppose -g = -v*g - 6, 0 = -i + g + 770. Is i + 0/((-3)/(-6)*-4) a composite number? True Let b(i) = 2*i + 8. Let h be b(0). Let a(k) = k - 9. Let g be a(11). Suppose f + 318 = w, g*f - h = w - 321. Is w a prime number? False Suppose -190403 + 70833 = -5*z + g, 5*z - 119590 = -3*g. Is z composite? True Suppose 15*c = -33*c + 678606 + 1842306. Is c a prime number? False Let r(f) = 803*f**2 + 146*f + 998. Is r(-7) a composite number? False Let g = 14914 - 33547. Let y = g - -27100. Is y a prime number? True Let p(n) = 5*n**3 - 44*n**2 - 15*n - 55. Is p(13) a composite number? False Let y = 8608 - 4676. Suppose -5*p = -9*p + y. Is p prime? True Let f(g) = 3852*g**2 + 46*g + 145. Let a(v) = 2. Let l(w) = -4*a(w) + f(w). Is l(-3) a composite number? False Let t be (-14)/(-4) + (-9)/6. Suppose 0 = t*g + 2, 5*p - p + 38 = 2*g. Let r = p - -21. Is r composite? False Is 99961/(6 - 26 - -21) composite? False Suppose -6*h - 35316 = -5394. Let n = 9036 + h. Is n a prime number? True Let p(j) = 132*j - 29. Suppose 2*s - 5*k = 10, 5*s - k + 3*k - 54 = 0. Is p(s) a prime number? True Suppose -a - 3642 = -105. Let v = a - -8824. Is v composite? True Let n be 2754/(-45)*555/(-6). Suppose 4*w + 14417 = d - 4*d, -3*w + 3*d = 10839. Let p = w + n. Is p composite? False Suppose 16*w - 395716 = 33036. Is w a prime number? False Suppose 20*m - 12*m - 40 = 0. Suppose 15313 = m*y - 2*d, y = 5*y + d - 12240. Is y a prime number? True Suppose v = -4*p + 218, 4*p + 5*v - 98 - 128 = 0. Let m be ((-10)/(-4))/((-10)/(-8)). Is (-28332)/p*1/(m/(-3)) a prime number? True Let j(i) = 1110 + 6*i - 2*i - 2*i + 38. Let o be j(0). Suppose -3*v = -4*l + v + o, -2*l = -3*v - 574. Is l composite? True Suppose -11 = -4*d - 5*z, 4*d = 4*z + 16 + 40. Let f(m) = -44*m - 7. Let q(t) = 88*t + 17. Let l(r) = -5*f(r) - 2*q(r). Is l(d) a prime number? True Let f(w) = 47*w**2 - 11*w**2 - 8 + 9*w**2 + 29*w**2 + 5*w. Suppose z - 3 = -0. Is f(z) a composite number? False Suppose -4*m - t = -3*t - 14, -5*t - 23 = -4*m. Suppose 0 = 5*q - k - 41, 10 = m*q - k - 4. Let o(c) = 16*c**2 + c + 10. Is o(q) a composite number? True Let t = 15 - 6. Suppose 14*u - t*u - 1315 = 0. Suppose -x - 3*b - b = -257, x = -2*b + u. Is x a composite number? False Let c = -1 - -95. Let t = 5798 + -3079. Let x = t + c. Is x a composite number? True Let l be 2/(-4)*-107 - 19/38. Let w = 58 - l. Suppose -2*h = 3*h + 2*r - 1181, -w*h = -4*r - 1193. Is h a composite number? True Let h = -200 - -311. Let d = -45 + h. Suppose x + 51 = d. Is x a composite number? True Let q(s) = -66*s**2 + 242*s - 8. Let w(j) = 22*j**2 - 81*j + 3. Let m(g) = -4*q(g) - 11*w(g). Is m(8) composite? True Let v(p) = 4*p + 1. Let q be (-2)/((-4 - -10)/(-3)). Let l be v(q). Suppose w = -2, -w - 593 = -l*o + 184. Is o composite? True Is 37789675/700 + 14/8 prime? True Suppose 0 = q + 5*c, -q = 4*q + 4*c. Suppose -13*z + 11*z - 2038 = q. Is (-1)/((4/z)/4) composite? False Suppose 6*i - 1880 = 2*i + q, -5*q = -5*i + 2350. Let g = i + -1030. Let w = -225 - g. Is w composite? True Is ((-15856110)/(-135))/((-2)/(-10) - 28/(-60)) a prime number? True Let v = -26735 - -75088. Is v composite? False Let v(t) = 162*t**2 - 1. Let w be ((-10)/(-20))/((-2)/(-12)). Suppose -3*i - 4 = c + w, -13 = -3*i + 4*c. Is v(i) composite? True Let k(s) = 14*s**2 + 31*s. Suppose 3*a - 4*o - 24 = -o, -a - 3*o = 12. Suppose -4*c = -3*u + 19, 0 = 5*c + u + a + 35. Is k(c) a composite number? True Let l = 254658 - -33709. Is l composite? True Let d(n) = 3*n**2 - 39*n + 1. Let y(o) = o**3 - 2*o**2 - 2*o + 9. Let x be y(0). Let b(g) = g**2 - 4*g - 28. Let f be b(x). Is d(f) prime? False Suppose -1651194 = -7*i - 19*i + 935728. Is i composite? False Let a(n) = -n**3
{ "pile_set_name": "DM Mathematics" }
+ m*i**3 + d*i + z and give z. -433 Express 0*p**4 - p**4 - p**4 + (-6*p + 8 - 8)*(-3598*p**3 + 1826*p**3 + 1833*p**3) as m + j*p + f*p**3 + o*p**4 + t*p**2 and give o. -368 Rearrange (7*y**3 - 42*y - 2*y**3 - 3*y**3)*(-45 - 33 + 84) to the form a*y**3 + z*y + x*y**2 + q and give a. 12 Rearrange (-4*w**2 - 83*w**2 - 74*w**2)*(-82*w**2 - 6*w**2 - 93*w**2 + 50*w**2 - 48*w**2) to the form x*w**2 + q*w + m*w**4 + g*w**3 + r and give x. 0 Express (-26*j - 6 + 6)*(67*j + 7*j + j) as z*j + y*j**2 + w and give y. -1950 Rearrange -112 - 118 + 336 - 112 + s**3 + 17*s - 3*s**2 to the form m*s + a*s**2 + y + i*s**3 and give y. -6 Express -800*b**2 - 158*b**2 - 10*b + 6 + 8*b - 2 as j + r*b + w*b**2 and give w. -958 Express -325 - g - 282 + 600 - 12*g**3 + g**2 in the form u*g + z*g**3 + t + m*g**2 and give m. 1 Rearrange 194*j**3 + 13*j - 2*j + 2 + 192*j**3 - 389*j**3 - 65*j + 8*j**2 to the form d*j + f + z*j**2 + h*j**3 and give f. 2 Rearrange -k + k - k**2 + (-1 + 3*k + 1)*(k + 2*k - k) + 0*k + 2*k**2 + 0*k - 46*k - 72*k**2 + 46*k to a + f*k + q*k**2 and give q. -65 Rearrange (10*g - 36*g - 14*g)*(-741*g + 335*g - 2 + 362*g) to the form t*g + y*g**2 + a and give t. 80 Express 27*g - 18*g - 89 - 9*g + 92 - 453*g**2 in the form d*g + u + z*g**2 and give z. -453 Rearrange (13 + 3 - 1)*(-4 - 1 + 3)*(-1108 + 1108 - 175*d) to the form i + t*d and give t. 5250 Rearrange (38873 - 8811*s**2 - 38873)*(s + s - 5*s) to the form j*s**2 + i*s**3 + f + l*s and give i. 26433 Express ((39*m**2 - 120*m**2 + 18*m**2)*(2 + 1 - 5) + 0*m**2 + 2*m**2 - 4*m**2)*(17*m + 17*m - 5*m) as v + n*m**3 + d*m**2 + b*m and give n. 3596 Rearrange 8223486 + 7084*f - 8223486 to the form a*f + c and give a. 7084 Rearrange (-4*x**3 + 4*x**3 - 2*x**3)*(6*x + 30*x + 10*x - x - 47*x - 15478) to k*x**4 + w*x**2 + o*x + d*x**3 + g and give d. 30956 Rearrange (0 - 2 + 1)*(-n + 3*n - 3*n) + (-1304*n + 825*n + 707*n)*(-5 + 4 + 7)*(-5 + 2 + 1) to the form w + b*n and give b. -2735 Rearrange 77*b - 3*b**2 + 15*b**4 - 42*b + 4 + b**3 - 41*b - 2 - 4*b**4 to u*b + p*b**4 + y + n*b**3 + d*b**2 and give p. 11 Rearrange 491*t + 1867*t + 349*t to u + m*t and give m. 2707 Rearrange 127400*y**2 - 256285*y**2 + 123344*y**2 to s + t*y + l*y**2 and give s. 0 Express -3 - 2 - 5144*w - 5 + 0 + 6 as j*w + z and give z. -4 Rearrange -2*j**3 - 56*j + j**2 - 38*j + 0*j**4 - 9*j**4 - 2 + 11*j**4 + 14*j to t + p*j**4 + y*j**3 + c*j + n*j**2 and give y. -2 Express (-12 + 5 + 10)*(n**3 - 402003*n - 157*n**2 + 402003*n) in the form r*n + x + u*n**3 + h*n**2 and give h. -471 Rearrange (-11469*x + 26721*x - 138 + 138 + 1108*x + 16615*x)*(1 - 1 - 3) to l*x + k and give l. -98925 Express -60*o - 90*o - 85*o in the form d + v*o and give v. -235 Rearrange 12176*r - 38 + 15 - 7 + 30 to the form g + n*r and give n. 12176 Express -1983*l + 1334*l + 600*l + 3*l**3 + 2324*l in the form j*l + w*l**3 + s*l**2 + u and give w. 3 Rearrange (2 + 2*h - 2)*(-2*h**2 + 2*h**2 + h**2) + 29*h**3 - 376*h + 376*h - h**3 - 10 + 10 to j*h**3 + w*h + f*h**2 + i and give j. 30 Express -414*x**3 + 17*x - 97 - 17*x**2 + 204*x**3 + 24*x + 207*x**3 - 42*x as o*x**2 + m*x**3 + a + y*x and give y. -1 Express -103*v**2 + 2 + 1723*v**2 + 2314*v**2 + 2*v**3 as p + s*v**2 + m*v**3 + h*v and give s. 3934 Express -10 + 297*h**3 - 299*h**3 + 4*h**2 + 187*h**2 - 28*h**2 in the form p*h**2 + u*h**3 + b*h + v and give u. -2 Express (18 + t - 20 + 14*t)*(4 - 3 - 3)*(-13*t**2 - 4*t**2 - 3*t**2 + (-4*t + 0*t + 3*t)*(0*t - 3*t + 2*t)) as i*t**2 + j*t + q*t**3 + x and give q. 570 Express (68*b**2 + 61*b**2 + 812*b**3 - 130*b**2)*(-3 - 3 + 0) as s + n*b**2 + u*b + i*b**3 and give i. -4872 Rearrange 137 + 6*s**3 - 1637*s + 819*s + 821*s to the form z + m*s**3 + t*s + n*s**2 and give t. 3 Rearrange (-757*l - 639*l + 1156*l)*(22*l**3 - 10*l**3 - 81*l**3) + l**4 - 2 + 2 to the form u*l**2 + g + j*l + r*l**4 + k*l**3 and give r. 16561 Rearrange 501*j**2 + 265*j - 265*j + (0 - 3 + 2)*(j**2 + 2*j**2 - 2*j**2) + j**2 - 3*j + 3*j to the form s + n*j + l*j**2 and give s. 0 Express (13*p - 12*p - 16*p)*(21*p**3 - 4*p**3 - 6*p**3)*(11 - 10 + 25) in the form l*p**4 + a*p**2 + d + w*p**3 + g*p and give l. -4290 Express 4238*m - 1778*m + 4156*m as g + l*m and give l. 6616 Rearrange 3 - 5*y**3 - 5*y**3 + 166*y - 166*y - 4*y**2 + 7*y**3 - 4*y**4 to x*y**2 + r*y**3 + s*y**4 + k + d*y and give k. 3 Rearrange (5 - 5 - 1)*(5243 - 682 + 7315)*(0 + h + 0) to b*h + a and give b. -11876 Express 312731 - 312731 - 3558*i**2 as r*i**2 + n + z*i and give z. 0 Rearrange -53*a**2 - 5 - 11 + 4 + 52*a**2 + 25*a to the form o*a**2 + g*a + r and give o. -1 Express (-m + 2*m - 2*m)*(4 - 100 - 115 + (-2 + 0 + 0)*(3 + 7 + 1)) as w + s*m and give s. 233 Rearrange -20806 + 10386 + 34342*h + 10421 to the form j*h + k and give j. 34342 Rearrange -196*d**3 + 94*d**3 + 63*d**3 - 10*d**2 - 2 - 3*d + 22*d**3 + 111*d**3 to the form t + x*d**3 + f*d + j*d**2 and give x. 94 Rearrange (-3 - 32 - 10)*(55*f + 19*f - 39*f) to y*f + q and give y. -1575 Rearrange -26*n + 3*n**4 - 40*n**2 + 6 + 17*n - 11*n + 32*n**2 - 4*n**4 to v*n + p*n**3 + b*n**4 + m + j*n**2 and give b. -1 Express 2*i**4 + 2*i**3 + 497 - 13*i - 3*i**2 - 3*i**4 - 491 + i - 4*i**3 as s*i**3 + c + x*i + u*i**4 + b*i**2 and give b. -3 Rearrange 8*b**2 - 9*b**2 - 2*b**3 + 2 + 16*b**2 - 6 - 4*b**4 - 13*b**2 to the form p + f*b**3 + x*b**4 + y*b**2 + a*b and give f. -2 Rearrange 3921*g - 3*g**2 + 9*g**3 - 6*g**3 + g**4 - 1 + 0*g**4 - 3920*g + 3*g**3 to l*g**2 + h*g + r + b*g**3 + z*g**4 and give z. 1 Express (f + 5*f - 4*f)*(-14441 - 18253 + 4406 - 15158 - 14427) in the form u + h*f and give h. -115746 Express -3*f + 2*f + 2*f + (3 - 4 + 2)*(3*f + f - 5*f) + 2*f + 2*f - 6*f + 21094*f + 144675102 - 144675102 as n*f + p and give p. 0 Rearrange 211*x + 118*x**2 + 3 - 250*x**2 + 2*x**3 + 134*x**2 - 1 to m*x + y*x**2 + i + b*x**3 and give y. 2 Express 25*l**2 - 21*l**3 - 1 - 8*l**3 + 31*l**3 - 166*l**2 in the form x*l**3 + b*l**2 + u*l + r and give x. 2 Express (-12*m**3 + 8*m**3 - 11*m**3)*(1 - 5 + 1)*(-8*m - 22 + 22) as p*m**2 + d*m**4 + c + h*m**3 + j*m and give d. -360 Rearrange -1634*p**2 + 535*p**2 - 682 + 552*p**2 + 535*p**2 to h*p + s*p**2 + f and give s. -12 Rearrange (2 - 2 - i**2)*((-4 + 3 + 0)*(-3 + 0 + 2) + (3 - 11 - 12)*(12 + 14 + 13)) to the form r*i**2 + b + h*i and give r. 779 Express 16*p + 2*p**2 - 363 - 6*p**2 + 4*p**3 + 363 as f*p + b + z*p**3 + u*p**2 and give u. -4 Rearrange y**4 + 7*y**3 - 28657 - 4*y + y**2 - 3*y**4 - 7*y**3 + 28553 to the form s*y**4 + t + c*y**2 + f*y**3 + k*y and give c. 1 Rearrange 2*i**2 - 11*i**2 - 17*i**3 - 9270 + 21*i + 9278 - 21*i to y*i**2 + n + u*i + t*i**3 and give n. 8 Express -65*k**4 + 18*k**4 + 6*k**2 + 25*k**4 + 14*k**2 + 10*k + 24*k**4 as o*k + q + f*k**4 + t*k**3 + j*k**2 and give f. 2 Rearrange -207*x + 53*x + 14 - 4 - 87*x - 4 to the form f*x + a and give f. -241 Rearrange -60*i**3 + 64*i + 61*i - 126*i + 0 - 127*i**3 + 1 to the form h*i**3 + z*i**2 + l*i + w and give h. -187 Rearrange (-q + 7*q - 2*q)*((-4 + 1 + 4)*(-2 + 3 - 17) - 4 + 3 + 6) - 8*q - 3*q - 4*q to z*q + m and give z. -59 Express (-40*u - 574 + 574)*(18*u - 28 - 27*u + 11*u) in the form z + w*u**2 + x*u and give z. 0 Express (-37*h**3 - 145*h**3 - 70*h**3)*(-4 + 7 + 11) in the form w*h + g + n*h**3 + j*h**2 and give j. 0 Rearrange 2993*v**4 - 2 - 1496*v**4 + 38*v**2 - 1494*v**4 - 2*v to p + n*v**2 + j*v + i*v**4 + x*v**3 and give x. 0 Express -7*z**3 - 1 - 58*z + 213*z - 64*z - 434*z**2 - 90*z as c*z**3 + r + t*z**2 + j*z and give j. 1 Rearrange (4*g**2 + g**2 - g**2)*(34*g**2 + 1224*g - 2717*g + 1492*g - 203) to u + v*g**2 + n*g**4 + r*g + a*g**3 and give u. 0 Express 19*s**2 - 5 - 35*s**2 - 20*s**2 - 59*s**2 as b*s + j + r*s**2 and give r. -95 Rearrange 1 - 1 + i - 2 + 2 - 2*i + (-2*i - 11*i - 2*i)*(-3 + 3 - 1) - 3*i + 0*i + 2*i + i + i - 5*i + 5 - 5 + 8 - i to z + b*i and give z. 8 Express -4*q**4 + 2*q**4 + 3*q**4 + (q**2 - 4*q**2 + 5*q**2)*(14676445 - 4547*q**2 - 14676445) in the form w*q + n*q**4 + l + p*q**3 + f*q**2 and give n. -9093 Express 508 + 736*g - 738*g - g**3 + 240 in the form w*g**2 + s*g + f + m*g**3 and give m. -1 Rearrange 3*y**2 - 1 + 8*y**4 - 1 + 522*y**3 - 262*y**3 + 6*y - 258*y**3 to h*y**2 + o + q*y**4 + d*y**3 +
{ "pile_set_name": "DM Mathematics" }
lest common multiple of 252 and 5460? 16380 What is the smallest common multiple of 2496 and 2232? 232128 Calculate the smallest common multiple of 77898 and 64915. 389490 Calculate the common denominator of -62/21 and 11/156447. 1095129 Calculate the common denominator of 133/102576 and 7/60. 512880 Find the common denominator of -29/8 and 71/50058. 200232 Calculate the lowest common multiple of 30 and 107661. 1076610 Calculate the smallest common multiple of 21 and 10797. 75579 What is the common denominator of 91/464630 and 41/10? 464630 What is the common denominator of 31/66 and 19/880? 2640 Find the common denominator of 15/46184 and 47/4016. 92368 Calculate the smallest common multiple of 45 and 165330. 165330 What is the common denominator of 11/28 and -83/123984? 123984 Find the common denominator of -59/365071 and 17/2. 730142 Calculate the lowest common multiple of 12 and 430425. 1721700 Calculate the least common multiple of 111960 and 242580. 1455480 Find the common denominator of -29/3744 and -161/2652. 63648 Find the common denominator of -163/31290 and 107/4470. 31290 What is the least common multiple of 11 and 108622? 1194842 Calculate the least common multiple of 5874 and 20196. 1797444 What is the lowest common multiple of 810 and 570? 15390 What is the common denominator of -7/11 and 73/245748? 2703228 Calculate the least common multiple of 90060 and 948. 90060 Calculate the common denominator of 16/170355 and 67/1476. 2044260 What is the common denominator of 49/3393 and -27/377? 3393 Calculate the least common multiple of 4440 and 240. 8880 Calculate the lowest common multiple of 1438 and 204. 146676 What is the common denominator of -29/85704 and -47/157124? 942744 Find the common denominator of 7/3048 and -40/27. 27432 What is the common denominator of 67/4086 and -46/4185? 1899990 Find the common denominator of 137/550 and 61/5200. 57200 Calculate the least common multiple of 625075 and 56825. 625075 Calculate the common denominator of -30/11 and -83/131943. 1451373 Find the common denominator of 17/37232 and -101/6. 111696 What is the least common multiple of 560 and 120? 1680 What is the smallest common multiple of 3536 and 260? 17680 Find the common denominator of -37/423 and 1/9. 423 What is the smallest common multiple of 735556 and 58? 735556 Calculate the common denominator of 62/3 and -27/27083. 81249 Find the common denominator of -95/1176 and 137/79968. 79968 What is the lowest common multiple of 138 and 34953? 1607838 Calculate the common denominator of -9/17353 and 11/269. 4667957 Calculate the common denominator of -55/744 and 25/273296. 819888 Calculate the smallest common multiple of 17352 and 240. 173520 Calculate the least common multiple of 17575 and 209. 193325 What is the common denominator of -9/206 and 33/1030? 1030 What is the smallest common multiple of 303290 and 7? 2123030 Calculate the smallest common multiple of 313908 and 11396. 3452988 What is the lowest common multiple of 2380 and 488? 290360 What is the lowest common multiple of 4 and 246604? 246604 What is the common denominator of 59/56056 and 19/71344? 784784 Calculate the common denominator of 71/36 and -25/11688. 35064 What is the common denominator of 23/1503 and 169/15030? 15030 What is the lowest common multiple of 6552 and 702? 19656 Calculate the least common multiple of 4 and 255904. 255904 What is the lowest common multiple of 675 and 56295? 281475 Calculate the least common multiple of 1734 and 89216. 4550016 Calculate the common denominator of 68/7645 and -18/10505. 1460195 Calculate the common denominator of -209/840 and 41/1200. 8400 What is the least common multiple of 892110 and 6550? 4460550 What is the smallest common multiple of 4 and 137156? 137156 Calculate the least common multiple of 42 and 12492. 87444 What is the lowest common multiple of 692604 and 314820? 3463020 Find the common denominator of -47/900 and -13/27500. 247500 Calculate the common denominator of -59/170420 and 79/80. 681680 Calculate the lowest common multiple of 18 and 2982150. 2982150 Calculate the common denominator of 37/578340 and -65/57834. 578340 What is the common denominator of 8/135 and -46/43395? 390555 What is the common denominator of 113/12972 and -169/2760? 129720 What is the least common multiple of 270 and 9800? 264600 Calculate the smallest common multiple of 123 and 6806. 20418 What is the common denominator of -95/37352 and 5/10304? 298816 Calculate the smallest common multiple of 631093 and 2338. 8835302 What is the least common multiple of 3 and 394233? 394233 What is the least common multiple of 16143 and 33? 177573 What is the least common multiple of 102 and 18326? 54978 What is the lowest common multiple of 5679 and 18930? 56790 What is the lowest common multiple of 50 and 21590? 107950 Find the common denominator of -107/8477424 and 88/15. 42387120 Calculate the common denominator of 26/44235 and -58/83555. 751995 Find the common denominator of -11/49056 and -13/9576. 2796192 What is the smallest common multiple of 54240 and 120? 54240 Calculate the common denominator of 11/76 and -8/437. 1748 Find the common denominator of 131/480 and -83/48. 480 What is the lowest common multiple of 70 and 25900? 25900 What is the lowest common multiple of 126 and 864? 6048 Find the common denominator of 42/1805 and 49/1520. 28880 Calculate the smallest common multiple of 7140 and 1260. 21420 Find the common denominator of -20/3919 and 17/11757. 11757 What is the lowest common multiple of 165189 and 51? 165189 Calculate the smallest common multiple of 9420 and 57776. 866640 Calculate the smallest common multiple of 6804 and 104004. 728028 Calculate the least common multiple of 15280 and 672. 641760 Calculate the common denominator of -57/14 and -64/1771. 3542 What is the lowest common multiple of 38409 and 10974? 76818 What is the common denominator of 149/19452 and -125/48? 77808 What is the smallest common multiple of 1640 and 45? 14760 Find the common denominator of 51/560 and 41/490. 3920 Calculate the least common multiple of 1 and 39354. 39354 What is the common denominator of 97/137856 and 85/14? 964992 What is the common denominator of -47/825 and 14/2547? 700425 What is the least common multiple of 6 and 20571? 41142 What is the lowest common multiple of 352 and 7552? 83072 What is the common denominator of 119/6 and -21/614491? 3686946 Calculate the smallest common multiple of 13236 and 92652. 92652 Calculate the smallest common multiple of 1104 and 80. 5520 Calculate the common denominator of 10/4641 and 131/780. 92820 Calculate the common denominator of 95/954 and -15/54484. 490356 Calculate the lowest common multiple of 80 and 122160. 122160 What is the smallest common multiple of 57178 and 462622? 5088842 Find the common denominator of -40/273699 and 16/273699. 273699 Calculate the common denominator of -11/18542 and 5/7. 129794 Find the common denominator of -20/413 and 47/2183. 15281 Calculate the smallest common multiple of 533082 and 290772. 3198492 What is the least common multiple of 11424 and 49? 79968 What is the lowest common multiple of 138351 and 184468? 553404 Find the common denominator of 31/166552 and 31/2674. 1165864 Calculate the common denominator of -47/22 and -41/794. 8734 Find the common denominator of 63/13334 and -39/1094. 7293698 Calculate the least common multiple of 24 and 8362. 100344 What is the lowest common multiple of 567 and 672? 18144 Calculate the common denominator of -88/45 and 29/10548. 52740 What is the smallest common multiple of 91520 and 752? 4301440 Find the common denominator of -2/11 and -11/40703. 447733 What is the common denominator of -1/6024 and -101/12? 6024 Calculate the common denominator of -123/476 and -55/37944. 265608 What is the smallest common multiple of 4401 and 5481? 893403 What is the smallest common multiple of 10373 and 989? 446039 What is the common denominator of -25/147 and 30/1519? 4557 What is the common denominator of -91/391824 and 101/864? 783648 What is the lowest common multiple of 5439 and 10? 54390 What is the smallest common multiple of 50680 and 46336? 1621760 Calculate the lowest common multiple of 308 and 16352. 179872 Find the common de
{ "pile_set_name": "DM Mathematics" }
in ascending order. -2585, -466, 5 Sort -552, -466, -4 in increasing order. -552, -466, -4 Put 1/2, 1/5, 4/3, 166 in descending order. 166, 4/3, 1/2, 1/5 Sort -0.1, -361, 5/4, 18. -361, -0.1, 5/4, 18 Sort 2.7, -2/21, -0.3, -37/5 in descending order. 2.7, -2/21, -0.3, -37/5 Sort 5, 1, 358442 in decreasing order. 358442, 5, 1 Sort -176, 83, 0, 3 in descending order. 83, 3, 0, -176 Sort 1026, 3, -37 in increasing order. -37, 3, 1026 Sort -2/7, 1/7, -23/26, 5/4 in increasing order. -23/26, -2/7, 1/7, 5/4 Sort -7/30, -0.5, 2, -6, 4/5, -2/9. -6, -0.5, -7/30, -2/9, 4/5, 2 Put 0.2, -722, -787 in descending order. 0.2, -722, -787 Put -3, 17, 8, 28, 2, -4 in descending order. 28, 17, 8, 2, -3, -4 Put -1/2, -2/9, -1.12, -1/5, -2/17 in decreasing order. -2/17, -1/5, -2/9, -1/2, -1.12 Sort 2/13, 0.6, -2/11, 1, -0.5. -0.5, -2/11, 2/13, 0.6, 1 Sort 147, -0.36, 5, -2/11. -0.36, -2/11, 5, 147 Put 963, 5, -5, 1, -2 in increasing order. -5, -2, 1, 5, 963 Sort 0.1, -6, -0.1, -0.4, 1, -0.332 in ascending order. -6, -0.4, -0.332, -0.1, 0.1, 1 Sort -1/2, 7, 2/15, -1/11, -1, 2.6 in descending order. 7, 2.6, 2/15, -1/11, -1/2, -1 Put -0.064, -2, -8, 14 in descending order. 14, -0.064, -2, -8 Put -110, -2/3, -164 in ascending order. -164, -110, -2/3 Put -0.12, 3, -0.1, 2/5, -265 in descending order. 3, 2/5, -0.1, -0.12, -265 Put -10, -9.5, 2, -5, 0.1 in increasing order. -10, -9.5, -5, 0.1, 2 Put 2, 798, 281, 4 in decreasing order. 798, 281, 4, 2 Put 1/7329, 5/11, -2/11 in descending order. 5/11, 1/7329, -2/11 Put -2, -252, -7 in increasing order. -252, -7, -2 Sort -16, 1713, 2 in decreasing order. 1713, 2, -16 Sort -2, 4, 446, 5, 1, 0 in descending order. 446, 5, 4, 1, 0, -2 Put 1, -12, 12, -419, 4, -3 in ascending order. -419, -12, -3, 1, 4, 12 Sort 6725, -4, 2/11, -31. -31, -4, 2/11, 6725 Sort 2, 145892, -1, 5. -1, 2, 5, 145892 Sort -83, 3.4, 10, 2/11 in descending order. 10, 3.4, 2/11, -83 Sort 45, 7.04, 0.4, 7 in decreasing order. 45, 7.04, 7, 0.4 Sort 1/3, 4, -4, -0.03, 5, -0.3 in ascending order. -4, -0.3, -0.03, 1/3, 4, 5 Sort 4, -18, -66 in increasing order. -66, -18, 4 Put 7, -12, 22, -2, 0 in ascending order. -12, -2, 0, 7, 22 Put 5, 0, -4, 100, 2 in ascending order. -4, 0, 2, 5, 100 Put 2, 1034, -5, -0.07 in decreasing order. 1034, 2, -0.07, -5 Put -4, -1, -480, -50 in ascending order. -480, -50, -4, -1 Put 68, -455, -4 in ascending order. -455, -4, 68 Sort 6, 1, -3, 1.8, -35 in descending order. 6, 1.8, 1, -3, -35 Sort -4, 2617, -9.7, -2/7 in descending order. 2617, -2/7, -4, -9.7 Sort -1.2, 183, 17, -2 in descending order. 183, 17, -1.2, -2 Put -0.4, 36344, 2, -0.5 in descending order. 36344, 2, -0.4, -0.5 Sort 28, 4, 291, 2, -3. -3, 2, 4, 28, 291 Sort -19, -2, -1, 135 in descending order. 135, -1, -2, -19 Sort -0.5, -1/3, -63, -2, 3, 171 in descending order. 171, 3, -1/3, -0.5, -2, -63 Sort 2/7, 0.922, 40 in descending order. 40, 0.922, 2/7 Sort -14, 7, 1, -1, -7, -2 in decreasing order. 7, 1, -1, -2, -7, -14 Sort -3, 3, 5/6, 84, -1, 5. -3, -1, 5/6, 3, 5, 84 Sort 0.4, -0.2, 5/14, 0.5 in decreasing order. 0.5, 0.4, 5/14, -0.2 Put 765, -2/3, 3, -24, -0.5, -2/7 in decreasing order. 765, 3, -2/7, -0.5, -2/3, -24 Put 0.3, -12/19, -52 in decreasing order. 0.3, -12/19, -52 Put -51, -13, -1, -3, -2 in decreasing order. -1, -2, -3, -13, -51 Put 3, -3332, -28 in descending order. 3, -28, -3332 Sort -6, -1, 3, -4, 12 in increasing order. -6, -4, -1, 3, 12 Put 2, 24, -3, 103, -5, -18 in ascending order. -18, -5, -3, 2, 24, 103 Sort 50, 2, 1, 1/3, 20. 1/3, 1, 2, 20, 50 Sort -0.4, 0.02, 0.5, -6.121 in decreasing order. 0.5, 0.02, -0.4, -6.121 Put -3, -102, 2, -1/3, -0.2 in decreasing order. 2, -0.2, -1/3, -3, -102 Put 0, 3, -2, 376, -30 in increasing order. -30, -2, 0, 3, 376 Put -5, -5077, -1, -2, 2 in descending order. 2, -1, -2, -5, -5077 Put 0, 3, -24, 4, -12/11, 2 in descending order. 4, 3, 2, 0, -12/11, -24 Sort 24, 222, -3 in decreasing order. 222, 24, -3 Put 4, -8, -13, 2, 27 in increasing order. -13, -8, 2, 4, 27 Put -4398, -5, 1 in ascending order. -4398, -5, 1 Sort -6, -2, 10, -5, 0. -6, -5, -2, 0, 10 Put 2201, -24, -1 in decreasing order. 2201, -1, -24 Put -55/3, -1, 2/3, 4 in increasing order. -55/3, -1, 2/3, 4 Sort 2, -5, 183, -47, 3 in descending order. 183, 3, 2, -5, -47 Put -6, -16/53, 5 in decreasing order. 5, -16/53, -6 Put 0, -1912, 1, -11, 3, -5 in increasing order. -1912, -11, -5, 0, 1, 3 Sort 2, -220, 5, 281, -5 in ascending order. -220, -5, 2, 5, 281 Put 2, 3, -9, 2.2 in decreasing order. 3, 2.2, 2, -9 Sort 0, -37, -1, -3731, -3 in descending order. 0, -1, -3, -37, -3731 Sort 0, 35, 1179, 4. 0, 4, 35, 1179 Put -1, 2234, 5, -3 in increasing order. -3, -1, 5, 2234 Sort 2, 36749, 5, 4. 2, 4, 5, 36749 Sort -2, 583, 57 in increasing order. -2, 57, 583 Put 4, 5, 2634, 2 in ascending order. 2, 4, 5, 2634 Sort 252, -0.6, -0.4, -1, 5 in descending order. 252, 5, -0.4, -0.6, -1 Sort 10, 23337, -0.8, 0.4. -0.8, 0.4, 10, 23337 Sort -16, 11, -1, -2, 41 in increasing order. -16, -2, -1, 11, 41 Sort 3, -1329, 1, 4. -1329, 1, 3, 4 Sort 4, 5, 0, -0.3. -0.3, 0, 4, 5 Sort -20, -3/196, 2/33, 4, -3 in decreasing order. 4, 2/33, -3/196, -3, -20 Sort -11.86, 23, 0.2 in ascending order. -11.86, 0.2, 23 Sort 8, -4, -6023 in decreasing order. 8, -4, -6023 Put 4, -6/19, -2/3, 60, -0.4 in descending order. 60, 4, -6/19, -0.4, -2/3 Put 25, 6.1, 5 in descending order. 25, 6.1, 5 Sort 314, -3, 1, -5, -6, -20. -20, -6, -5, -3, 1, 314 Sort -0.07, -19, -0.95 in decreasing order. -0.07, -0.95, -19 Sort -3, 3, -41451. -41451, -3, 3 Put -4.7, 0.179, 9, -1/2 in decreasing order. 9, 0.179, -1/2, -4.7 Sort -5/4, -1.8, 0.4, -3, -1 in ascending order. -3, -1.8, -5/4, -1, 0.4 Put -782, 3, -3, -0.1, 0.1, 2 in increasing order. -782, -3, -0.1, 0.1, 2, 3 Put -0.4, 0.213, 1/4, 8, -5 in descending order. 8, 1/4, 0.213, -0.4, -5 Sort -2, -24, -5, -65, 5. -65, -24, -5, -2, 5 Put -31, 118, 0.1 in increasing order. -31, 0.1, 118 Sort 2, -54, 4, -1, -3 in increasing order. -54, -3, -1, 2, 4 Sort 9, 8, -343. -343, 8, 9 Sort 5667, -3, 2 in ascending order. -3, 2, 5667 Put 0.017, -27, 37 in descending order. 37, 0.017, -27 Sort 1471, 0, -12 in decreasing order. 1471, 0, -12 Put 0, 11, 2/9, 11/23, -0.2, -2 in decreasing order. 11, 11/23, 2/9, 0, -0.2, -2 Sort 1, -15, -5, -4, 19, -3 in decreasing order. 19, 1, -3, -4, -5, -15 Sort 1, -17, 155. -17, 1, 155 Sort -4, -2, 3, 6, 41 in ascending order. -4, -2, 3, 6, 41 Sort 2/11, 5, 1/6, -33/8, -209. -209, -33/8, 1/6, 2/11, 5 Put 1994, 8, 13 in increasing order. 8, 13, 1994 Put -2360, -5, -4, 0 in ascending order. -2360, -5, -4, 0 Sort 0, -3, 3, 53313 in ascending order. -3, 0, 3, 53313 Put -5, 1, -6888, 19 in increasing order. -6888, -5, 1, 19 Sort 32435, -1/5, -5. -5, -1/5, 32435 Sort -4, 1, -1848, 0. -1848, -4, 0, 1 Sort 20, 3, -20, 7 in descending order. 20, 7, 3, -20 Sort 4, -0.2, 1/2, -19/67. -19/67, -0.2, 1/2, 4 Sort 7, -5, -4, -1016. -1016, -5, -4, 7 Sort 4, -2, 823361 in increasing order. -2, 4, 823361 Put 4, -9, -5, -44 in decreasing order. 4, -5, -9, -44 Sort 3, -45, 11. -45, 3, 11 Put 1, 3, -1, -3, 4, -29077 in descending order. 4, 3, 1, -1, -3, -29077 Put -421, 3, -5, 4, 30 in descending order. 30, 4, 3, -5, -421 Sort 90, 4, 5, 2, -13, -7 in increasing order. -13, -7, 2, 4, 5, 90 Sort 5, 3194, 11 in decreasing order. 3194, 11, 5 Sort 4, 144, 80 in descending order. 144, 80, 4 Put -1/8, 328, -1 in increasing order. -1, -1/8, 328 Sort 5, -3, -161 in ascending order. -161, -3, 5 Sort -297, -2, 30, -1 in ascending order. -297, -2, -1, 30 Sort 1, 5, 0, 2, -6, -478. -478, -6, 0, 1, 2, 5 Put 1, 5, 4, 0, 579 in decreasing order. 579, 5, 4, 1, 0 Put 0, 15952, -190 in decreasing order. 15952, 0, -190 Sort 0.016, -1/18, -2/165, -0.3 in descending order. 0.016, -2/165, -1/18, -0.3 Put -1, -11, 1113, 2 in descending order. 1113, 2, -1, -11 Put -3/7, -75.007, 2/13 in descending order. 2/13, -3/7, -75.007 Sort -1/18, 4, -193 in descending order. 4, -1/18, -193 Sort -2, 0, 26, 33. -2, 0, 26, 33 Sort 13, -5, 5, 1019. -5, 5, 13, 1019 Sort 2, -4, -9, 539, -5 in ascending order. -9, -5, -4, 2, 539 Put -1, 93, 1, -989 in decreasing order. 93, 1, -1, -989 Sort 0, -221072, 1. -221072, 0, 1 Put 41, -120, 4, 5, 1, -4 in descending order. 41, 5, 4, 1, -4, -120 Put
{ "pile_set_name": "DM Mathematics" }
5 rounded to 6 dps? 0.000002 Round -184.36 to the nearest ten. -180 Round 19.502 to the nearest integer. 20 Round -4657700 to the nearest 100000. -4700000 What is -6223 rounded to the nearest one hundred? -6200 Round 0.000066862 to 6 dps. 0.000067 What is -9739 rounded to the nearest 100? -9700 What is 4628000 rounded to the nearest one hundred thousand? 4600000 What is -0.00342743 rounded to 4 decimal places? -0.0034 What is 1571.32 rounded to the nearest one hundred? 1600 Round 225035000 to the nearest 1000000. 225000000 Round -0.0000005739 to 6 dps. -0.000001 Round -49576 to the nearest ten thousand. -50000 What is -0.025003 rounded to four decimal places? -0.025 Round -4388000 to the nearest one million. -4000000 What is 105.9 rounded to the nearest 10? 110 Round -984540000 to the nearest one million. -985000000 Round -0.0764 to 3 dps. -0.076 What is -837900 rounded to the nearest one hundred thousand? -800000 Round -107980 to the nearest 10000. -110000 What is 1455990 rounded to the nearest ten thousand? 1460000 What is 14039 rounded to the nearest one thousand? 14000 Round 4177000 to the nearest 1000000. 4000000 What is 23.514 rounded to one dp? 23.5 What is 0.00000184 rounded to six dps? 0.000002 Round 55.3 to the nearest integer. 55 What is 0.015191 rounded to 3 decimal places? 0.015 What is -0.1831 rounded to 1 decimal place? -0.2 What is -0.0187855 rounded to 3 dps? -0.019 Round 0.01363 to three dps. 0.014 Round 0.000080035 to five dps. 0.00008 What is 0.000766 rounded to five dps? 0.00077 Round 23.665 to 0 decimal places. 24 Round -44.932 to the nearest integer. -45 What is -0.0005869 rounded to 4 dps? -0.0006 What is -5.78 rounded to one decimal place? -5.8 Round -163 to the nearest 10. -160 What is -20.05 rounded to the nearest integer? -20 Round 71100 to the nearest one thousand. 71000 What is 16492400 rounded to the nearest one million? 16000000 Round 1228 to the nearest 100. 1200 What is -4.5085 rounded to two dps? -4.51 What is 0.0000021579 rounded to 7 decimal places? 0.0000022 Round 3.537 to 0 dps. 4 Round -0.122345 to 3 decimal places. -0.122 What is 0.019033 rounded to 3 dps? 0.019 Round 107.88 to the nearest integer. 108 Round -144400 to the nearest 10000. -140000 What is 68.09 rounded to the nearest integer? 68 Round -0.00000015272 to 7 dps. -0.0000002 Round -10118 to the nearest one hundred. -10100 What is -0.003891 rounded to 4 decimal places? -0.0039 What is -0.0009553 rounded to four decimal places? -0.001 Round -0.000002138 to six decimal places. -0.000002 What is 0.0638 rounded to 2 decimal places? 0.06 Round -760100 to the nearest 10000. -760000 Round 33 to the nearest one hundred. 0 Round -14344.5 to the nearest 1000. -14000 Round -6690000 to the nearest 100000. -6700000 What is -0.000007258 rounded to five dps? -0.00001 Round -0.0632 to 2 decimal places. -0.06 Round 0.000101615 to five dps. 0.0001 What is 0.014532 rounded to 4 dps? 0.0145 Round -1372200 to the nearest one hundred thousand. -1400000 What is 13675000 rounded to the nearest one hundred thousand? 13700000 What is 0.07182 rounded to two decimal places? 0.07 What is -105782 rounded to the nearest 100? -105800 What is 127100000 rounded to the nearest one million? 127000000 Round -37.76 to the nearest integer. -38 What is 260.08 rounded to the nearest 10? 260 Round 920 to the nearest 1000. 1000 What is 1617 rounded to the nearest 1000? 2000 Round -0.00004394 to five dps. -0.00004 What is -31.93 rounded to the nearest 10? -30 What is -630.42 rounded to the nearest 10? -630 Round 0.0597 to 2 dps. 0.06 Round 0.0001145 to five dps. 0.00011 Round 0.00028185 to five dps. 0.00028 Round 359.17 to the nearest ten. 360 Round -87.25 to 0 decimal places. -87 Round -290340 to the nearest one thousand. -290000 What is -0.000001069 rounded to seven decimal places? -0.0000011 What is 0.0000303 rounded to four dps? 0 Round -8770000 to the nearest one million. -9000000 What is 13190.6 rounded to the nearest one hundred? 13200 Round 42550 to the nearest 1000. 43000 Round -0.0119667 to five dps. -0.01197 Round -0.00818 to 3 decimal places. -0.008 Round 232720 to the nearest 1000. 233000 Round -0.0023787 to 4 decimal places. -0.0024 What is -0.00015447 rounded to five dps? -0.00015 Round 3952900 to the nearest 100000. 4000000 What is 0.00001611 rounded to seven dps? 0.0000161 What is -84.24 rounded to the nearest 10? -80 Round -0.06681 to three decimal places. -0.067 What is 10140000 rounded to the nearest 1000000? 10000000 What is -0.053403 rounded to 4 dps? -0.0534 What is 1.178 rounded to two decimal places? 1.18 Round 0.00001406 to six dps. 0.000014 What is 0.000099162 rounded to 7 dps? 0.0000992 What is -48.45 rounded to the nearest one hundred? 0 Round -8.61 to the nearest 10. -10 What is 0.0008559 rounded to 4 dps? 0.0009 What is -5783 rounded to the nearest 1000? -6000 What is 61.6 rounded to 0 dps? 62 Round 20325 to the nearest one hundred. 20300 Round -118090 to the nearest ten thousand. -120000 What is -6.488 rounded to zero dps? -6 Round 470000 to the nearest one million. 0 Round -558.06 to the nearest 100. -600 What is -26260 rounded to the nearest 1000? -26000 Round -8301.5 to the nearest 100. -8300 Round -947.5 to the nearest 100. -900 Round 3337500 to the nearest one million. 3000000 Round 71260000 to the nearest one million. 71000000 Round 97693 to the nearest 10000. 100000 Round -0.0000874 to four dps. -0.0001 What is -424.98 rounded to the nearest one hundred? -400 Round -4.454 to 1 dp. -4.5 What is 1603.2 rounded to the nearest 100? 1600 What is 813770 rounded to the nearest 10000? 810000 Round -0.188 to 0 decimal places. 0 Round -1937760 to the nearest 10000. -1940000 What is 717.8 rounded to the nearest one hundred? 700 What is 7.7049 rounded to one decimal place? 7.7 Round 5278700 to the nearest one hundred thousand. 5300000 Round -649.76 to the nearest one hundred. -600 Round 27775 to the nearest 100. 27800 Round 122820000 to the nearest 1000000. 123000000 Round 200.18 to the nearest 10. 200 Round -0.34264 to 3 dps. -0.343 Round -41560000 to the nearest 1000000. -42000000 What is 8970000 rounded to the nearest 100000? 9000000 Round -0.209 to the nearest integer. 0 Round -0.000092809 to 7 dps. -0.0000928 Round 0.0000807 to 5 decimal places. 0.00008 Round -843.8 to the nearest ten. -840 What is -668900 rounded to the nearest 10000? -670000 Round 926.8 to the nearest 100. 900 What is -150300 rounded to the nearest 10000? -150000 Round -80060000 to the nearest one million. -80000000 What is -10.122 rounded to zero decimal places? -10 What is 0.0048904 rounded to four decimal places? 0.0049 Round -0.179738 to three decimal places. -0.18 Round 0.00000121553 to seven decimal places. 0.0000012 Round -0.25631 to 3 dps. -0.256 Round 0.0068182 to 3 decimal places. 0.007 Round -22130 to the nearest one thousand. -22000 What is -0.000009362 rounded to 7 dps? -0.0000094 What is -0.04381 rounded to 2 decimal places? -0.04 Round -6288.5 to the nearest 100. -6300 Round -0.0000001082 to seven dps. -0.0000001 Round -0.0000005606 to 7 decimal places. -0.0000006 Round -28240000 to the nearest one million. -28000000 Round 0.002395 to 3 decimal places. 0.002 Round -0.02591 to 3 decimal places. -0.026 Round 0.0056694 to three decimal places. 0.006 What is -419.12 rounded to zero dps? -419 Round -0.00004433 to six dps. -0.000044 Round 8.839 to one decimal place. 8.8 What is -0.001676 rounded to 2 dps? 0 Round -4011600 to the nearest 1000000. -4000000 Round -44.709 to 1 decimal place. -44.7 What is -0.006779 rounded to 3 dps? -0.007 What is 0.000053643 rounded to seven decimal places? 0.0000536 What is -0.078656 rounded to 4 decimal places? -0.0787 Round -14.87 to 0 dps. -15 What is -0.01211 rounded to four dps? -0.0121 What is 95130000 rounded to the nearest 1000000? 95000000 What is 0.00055 rounded to four dps? 0.0006 What is 0.150179 rounded to two dps? 0.15 What is -0.03973 rounded to two decimal places? -0.04 What is -0.031583 rounded to 2 decimal places? -0.03 Round -739000 to the nearest 100000. -700000 What is 0.05795 rounded to 2 decimal places? 0.06 Round -0.96895 to 1 dp. -1 Round 1084.45 to zero decimal places. 1084 Round -117.8 to the nearest 10. -120 Round
{ "pile_set_name": "DM Mathematics" }
x? 19, 1123 Let l = -1456 + 1492. Let y(u) = u + 2. Let a be y(-2). Suppose a = -c + 3*c - l. List the prime factors of c. 2, 3 Suppose 3*u + u = 4, -5*d - 26 = 4*u. List the prime factors of 562*(5 + 27/d). 281 Let t(r) = 1197*r - 1755. List the prime factors of t(29). 2, 3, 1831 Let o = 643 - -240. Suppose -37*z + v - 3538 = -41*z, v - o = -z. What are the prime factors of z? 3, 5, 59 Suppose 4*l = 5*f - 162, -5*f + 6*f = 5*l + 24. Suppose -f*a + 6848 = -18*a. List the prime factors of a. 2, 107 Let b be ((-3)/2)/((-6)/904). Suppose -u - b = h, h - 29 = -2*u - 255. What are the prime factors of -3 - 0 - (2 + h)/2? 109 Let h be -3*(7/(-3) - -1). Suppose 3*s - 23 = 2*f + 39, 52 = 2*s + h*f. List the prime factors of s. 2, 11 Let i(y) = -y**2 - 42*y - 170. Let w be i(-16). Let l be (-2)/(-9) - 48/(-27). Suppose l*x = -x + w. What are the prime factors of x? 2, 41 Let d = 10 + -13. Let y be -4 - 2*(-1 - -2). What are the prime factors of (-98)/4*d + (-9)/y? 3, 5 Suppose -10*c + 7 = h - 13*c, -h - 5*c + 31 = 0. Suppose -8036 = -h*n + 9*n. List the prime factors of n. 2, 7, 41 Let u(x) = -32*x + 114. Let b be u(10). Let s = b - -362. List the prime factors of s. 2, 3, 13 Let n(o) = 22*o**2 - 63*o + 721. List the prime factors of n(31). 2, 5, 11, 181 Suppose 11251 = 4*j + a, -4*j + 5*a = -6586 - 4695. List the prime factors of j. 2, 3, 7, 67 Let t(d) = -7*d + 30. Let q be 92/20 - 9/15. Let y be t(q). List the prime factors of (1/6*y)/(15/5445). 11 Let v(f) = 160*f + 6. Suppose -133*h + 135*h + 8 = 0. Let i(n) = 160*n + 6. Let q(k) = h*i(k) + 3*v(k). What are the prime factors of q(-1)? 2, 7, 11 Suppose 3*u + 231 = k - 311, k - 178 = u. What are the prime factors of u/21*10*(-9)/4? 3, 5, 13 Suppose -87*p + 2483796 + 1080806 = -949045. List the prime factors of p. 29, 1789 Suppose 723 - 2307 = -8*i. Let p be ((-7)/14)/((-3)/i). Let x = 38 - p. List the prime factors of x. 5 Let t(f) = 263*f**2 - 26*f + 140. What are the prime factors of t(7)? 5, 7, 367 Let n = 5604 + 579. List the prime factors of n. 3, 229 Suppose 17 + 43 = 12*k. Suppose 138 = -v + k*y, -3*v - 536 = 5*y - 122. Let p = v + 195. What are the prime factors of p? 3, 19 Let w be -4*((-1)/2)/1. Suppose w*t + 4*f = 28, 100 = t + 3*t - 3*f. What are the prime factors of t? 2, 11 Let h(s) = s**3 - 7*s**2 + 5*s + 1. Let o be h(1). Let b be 1/1 + (-932 - 1). What are the prime factors of (-16)/(-72) + o + b/(-18)? 2, 13 Let i be ((-135)/(-6) - -2) + (-1)/2. Suppose 0 = -33*f + 29*f - i. Let t(y) = 2*y**2 - 10*y - 57. List the prime factors of t(f). 3, 5 Suppose 30 = -b + 274. Let g be (-2)/6 - (-1272)/9. Let a = b - g. List the prime factors of a. 103 Let v(d) = -6*d - 110. Let s be v(-19). Suppose 0 = -s*h + 4*f + 732, -6*f + 5*f - 726 = -4*h. List the prime factors of h. 181 Let k be (-3)/(-2) - 33/(-2). Let m = -1398 - -1521. Let s = m + k. List the prime factors of s. 3, 47 Let v(j) = j**3 - j**2 - j + 1. Let m be v(-1). Suppose -2*x + 4 = -m*x. Suppose -x*l = -5*p - 105, 2*l + p = -2*p + 113. List the prime factors of l. 5, 11 Suppose -2*a - 86920 = -4*k + 6106, -2*k = 5*a - 46471. What are the prime factors of k? 3, 23, 337 Let l(m) = -4000*m - 10002. List the prime factors of l(-13). 2, 11, 23, 83 Suppose w - 2*n = 3*w - 870, 2*n - 1309 = -3*w. Let r = -95 + w. List the prime factors of r. 2, 43 Let c = -254 - -248. List the prime factors of (-3)/((-6)/20) + c + 3. 7 Let t(r) = -r**3 - 101*r**2 + 218*r + 183. What are the prime factors of t(-108)? 3, 19429 Let v(u) = 37*u - 297. Let j be v(12). Let l be (-4)/5*(-2325)/6. Let y = l - j. List the prime factors of y. 163 Let a(m) = m**3 - 10*m**2 - 8*m + 4. Let g be a(13). Let t = -287 + g. What are the prime factors of t? 2, 3, 5 Suppose 4*v - 135644 = v - 2*p, -90421 = -2*v - 3*p. What are the prime factors of v? 2, 23, 983 Let d(s) be the third derivative of -3*s**4/8 - 7*s**3/2 - 10*s**2. Let c be d(-3). List the prime factors of c*1/2 - 384/(-6). 67 Let h(j) = 205*j**2 - 34*j - 331. List the prime factors of h(-10). 20509 What are the prime factors of (5/(15/53708))/(16/12)? 29, 463 Let j(t) = 1114*t**2 + 1. Suppose -6*i - 28*i - 34 = 0. List the prime factors of j(i). 5, 223 Suppose 5*a = -5*q + 138855, -20680 = -3*a + 3*q + 62597. List the prime factors of a. 3, 5, 617 Suppose 0 = -71*n - 66*n + 3245941. What are the prime factors of n? 19, 29, 43 Suppose 2*y - 4*l - 64 = -6*l, -y + 35 = 2*l. Suppose -y*d + 20*d = -1944. List the prime factors of d. 2, 3 Let l(j) = j**3 - 9*j**2 + 21*j - 1. Let i be l(5). What are the prime factors of ((-8136)/18)/((-10)/i - -2)? 2, 113 Suppose 0 = -8*g + 5*g - 5*s - 43, 4*s + 50 = -5*g. Suppose -7*q + 216 = 17*q. List the prime factors of 132/q*g/(-1). 2, 11 Suppose -14*t + 54 = -11*t. Suppose -8*n = -t*n + 4230. List the prime factors of n. 3, 47 Let c(a) = 261*a - 207. What are the prime factors of c(16)? 3, 7 Suppose 5*a + 1273 = 2*n - 575, 5*a - 3696 = -4*n. List the prime factors of n. 2, 3, 7, 11 Suppose -16*o = -20*o + 120. Let b be (-3)/(9/(-12)) + o + -1. List the prime factors of b/(-2)*(-6)/(-12)*-8. 2, 3, 11 Let a(c) = 59*c**2 + 95*c + 50. What are the prime factors of a(22)? 2, 3, 1279 Suppose -5*c - 20502 = -14*c. Let x = -1352 + c. List the prime factors of x. 2, 463 Let v(h) = -h**3 - 2*h**2 - 9*h. Suppose -14 = -4*p + 10. Let m(k) = -3*k**2 + 18*k - 4. Let j be m(p). What are the prime factors of v(j)? 2, 17 Let d(y) = -41*y - 9. Let q(u) = 0 + 3 + 20*u + 2. Let f(s) = 4*d(s) + 9*q(s). What are the prime factors of f(4)? 73 Let t(k) = -k**2 + 4*k + 18. Let b be t(8). Let g(s) = -59*s. Let h be g(b). Let j = h - 588. List the prime factors of j. 2, 7, 17 Let w be -14 - (3/(-2))/((-8)/(-32)). List the prime factors of 874 + (-4)/w*0. 2, 19, 23 Suppose 5*j + 4*f = -20, 2*j - 5*f - 11 - 14 = 0. Suppose 9 - 86 = -n + 4*k, k = j. List the prime factors of 1 + (n - 0) - 12/(-12). 79 Let z be 6 + (-6 + -212)*-1. What are the prime factors of 3 + z + (-3)/(-3)? 2, 3, 19 Let u(b) = 48*b - 29. Let x be u(7). Let i = x - 231. What are the prime factors of i? 2, 19 Suppose -5*y + 35 = -580. Suppose -1810*w + 1825*w + 1155 = 0. Let i = y + w. List the prime factors of i. 2, 23 Let o(g) = -g**3 - 36*g**2 + 36*g - 44. Let x be o(-37). What are the prime factors of 1*(-9 + 3) - 7385/x? 1049 Let n(r) = 5*r - 72. Let f be n(15). What are the prime factors of (f - (-220)/10) + 1 + -1? 5 Let p(q) = 4*q**3 + 14 - 19*q - 211*q**2 - 3*q**3 + 219*q**2. What are the prime factors of p(-7)? 2, 7 List the prime factors of 17094/22*(-22)/(-6). 7, 11, 37 Suppose 2*t = -4*q + 14004 + 20298, -4*q + 3*t = -34317. What are the prime factors of q? 3, 953 Suppose 0 = -362*j + 4442907 - 940919. What are the prime factors of j? 2, 7, 691 Let h(o) = -2*o**2 - 17*o - 2. Let j be h(-8). Suppose 66*c = 64*c + j. What are the prime factors of 4 + (-9)/c - -52? 53 Let f = -3470 - -5374. Suppose -15*a + f = -11*a. What are the prime factors of a? 2, 7, 17 Suppose 32*z + 6268 = 42268. Let o = z + -401. What are the prime factors of o? 2, 181 Suppose 2*c - c - 178 = -4*a, -5*c - 100 = -2*a. Let l(d) = -18*d**3 + 45*d**3 + 2*d - 1 - 3*d**2 + 19*d**3 + a*d**3. What are the prime factors of l(1)? 89 Let c(j) = -2*j + 8. Let r be c(3). Suppose -5*d - 180 = 4*z, 3*d - 90 = r*z + d. What are the prime factors of -4 + 40/5 - z? 7 Suppose -30*b + 153295 = -290375. What are the prime factors of b? 23, 643 Let w(k) = k**2 + 2*k - 1. Let x be w(-3). Suppose -x*u - 2*u = -600. Let q = u - 48. What are the prime factors of q? 2, 3, 17 Let o = -16476 + 42466. List the prime factors of o. 2, 5, 23, 113 What are the prime factors of (-2666874)/(-235) + (-6)/15? 2, 2837 Let n(i) = 33*i - 161. Let b be n(5). Suppose -b*p + 2*r + 4406 = 0, -3*r + 4317 = 5*p - 1196. What are the prime factors of p? 2, 19, 29 Suppose -d = -5*d - 8. Suppose 1146*g - 1154*g + 64 = 0. What are the prime factors of 4/3 - (d - g/(-6))? 2 Suppose -4*z - 5*w = 61, -5 = z - w - 1. Let k(u) = 18*u + 22. Let y be k(z). Let c = 233 + y. List the prime factors of c. 3, 31 Let f(d) = d**2 - 23*d - 21. Let v be f(24). Suppose -4*q - 118 + 397 = t, -3*t + v*q + 912 = 0. Suppose 2*s - t + 33 = 0. What are the prime factors of s? 7, 19 Let n = 27301 + -12866. List the prime fa
{ "pile_set_name": "DM Mathematics" }
Calculate the remainder when 25314 is divided by 25314. 0 Calculate the remainder when 49167 is divided by 724. 659 Calculate the remainder when 9806 is divided by 880. 126 Calculate the remainder when 4221 is divided by 194. 147 What is the remainder when 59356 is divided by 212? 208 Calculate the remainder when 6012 is divided by 187. 28 What is the remainder when 11197 is divided by 1803? 379 What is the remainder when 1271 is divided by 33? 17 Calculate the remainder when 102268 is divided by 47. 43 What is the remainder when 3815 is divided by 49? 42 Calculate the remainder when 4259 is divided by 116. 83 Calculate the remainder when 176532 is divided by 38. 22 Calculate the remainder when 8198507 is divided by 43. 41 What is the remainder when 35199 is divided by 72? 63 What is the remainder when 67672 is divided by 24? 16 What is the remainder when 7358 is divided by 118? 42 Calculate the remainder when 17021 is divided by 128. 125 What is the remainder when 258323 is divided by 1254? 1253 What is the remainder when 71794 is divided by 374? 360 What is the remainder when 26166 is divided by 1249? 1186 Calculate the remainder when 51826 is divided by 6. 4 Calculate the remainder when 9043 is divided by 1797. 58 What is the remainder when 157514 is divided by 15? 14 What is the remainder when 402891 is divided by 11? 5 What is the remainder when 55462 is divided by 14? 8 What is the remainder when 64842 is divided by 1099? 1 Calculate the remainder when 44296 is divided by 923. 915 Calculate the remainder when 957 is divided by 93. 27 Calculate the remainder when 1573 is divided by 1540. 33 What is the remainder when 1260 is divided by 308? 28 What is the remainder when 27500 is divided by 9166? 2 What is the remainder when 12324 is divided by 127? 5 Calculate the remainder when 36062 is divided by 91. 26 What is the remainder when 8870 is divided by 19? 16 Calculate the remainder when 32335 is divided by 268. 175 What is the remainder when 7905 is divided by 3934? 37 What is the remainder when 19860 is divided by 144? 132 Calculate the remainder when 16042 is divided by 875. 292 Calculate the remainder when 75397 is divided by 68. 53 Calculate the remainder when 461133 is divided by 1122. 1113 What is the remainder when 22571 is divided by 34? 29 Calculate the remainder when 2864 is divided by 235. 44 What is the remainder when 9623 is divided by 4796? 31 What is the remainder when 849599 is divided by 82? 79 Calculate the remainder when 9189 is divided by 39. 24 Calculate the remainder when 714412 is divided by 77. 6 What is the remainder when 2906 is divided by 67? 25 What is the remainder when 307900 is divided by 307900? 0 Calculate the remainder when 78534 is divided by 136. 62 What is the remainder when 2735 is divided by 90? 35 What is the remainder when 68618 is divided by 17148? 26 What is the remainder when 3912 is divided by 65? 12 Calculate the remainder when 368095 is divided by 87. 85 Calculate the remainder when 113466 is divided by 668. 574 What is the remainder when 1303 is divided by 1162? 141 Calculate the remainder when 1702 is divided by 148. 74 What is the remainder when 125516 is divided by 120? 116 Calculate the remainder when 80974 is divided by 4. 2 Calculate the remainder when 95406 is divided by 2384. 46 What is the remainder when 5614 is divided by 30? 4 Calculate the remainder when 1272957 is divided by 1224. 1221 Calculate the remainder when 139341 is divided by 503. 10 Calculate the remainder when 9169 is divided by 4573. 23 What is the remainder when 6134622 is divided by 475? 472 Calculate the remainder when 773 is divided by 90. 53 What is the remainder when 41962 is divided by 26? 24 What is the remainder when 101042 is divided by 309? 308 What is the remainder when 48489 is divided by 289? 226 Calculate the remainder when 31184 is divided by 11. 10 Calculate the remainder when 2965 is divided by 162. 49 What is the remainder when 899 is divided by 27? 8 What is the remainder when 6451 is divided by 2145? 16 What is the remainder when 3324 is divided by 1590? 144 Calculate the remainder when 380188 is divided by 190. 188 Calculate the remainder when 2144 is divided by 2131. 13 What is the remainder when 1022 is divided by 352? 318 What is the remainder when 9050 is divided by 1969? 1174 What is the remainder when 293090 is divided by 47? 45 Calculate the remainder when 1034904 is divided by 644. 640 Calculate the remainder when 372122 is divided by 65. 62 What is the remainder when 57130 is divided by 60? 10 Calculate the remainder when 67119 is divided by 2314. 13 Calculate the remainder when 96202 is divided by 1013. 980 Calculate the remainder when 29832 is divided by 489. 3 Calculate the remainder when 3152 is divided by 711. 308 What is the remainder when 909485 is divided by 1030? 1025 Calculate the remainder when 8289 is divided by 2700. 189 Calculate the remainder when 93249 is divided by 46615. 19 What is the remainder when 5342 is divided by 243? 239 What is the remainder when 37513 is divided by 18735? 43 What is the remainder when 22963 is divided by 294? 31 Calculate the remainder when 118782 is divided by 1381. 16 Calculate the remainder when 17044 is divided by 1113. 349 Calculate the remainder when 129340 is divided by 86. 82 Calculate the remainder when 7121 is divided by 397. 372 Calculate the remainder when 5369 is divided by 2590. 189 Calculate the remainder when 854 is divided by 90. 44 Calculate the remainder when 935808 is divided by 119. 111 What is the remainder when 98345 is divided by 1069? 1066 What is the remainder when 5191 is divided by 985? 266 What is the remainder when 44505 is divided by 34? 33 Calculate the remainder when 2083 is divided by 204. 43 What is the remainder when 5798 is divided by 1912? 62 What is the remainder when 192991 is divided by 32? 31 Calculate the remainder when 24909 is divided by 27. 15 Calculate the remainder when 258019 is divided by 133. 132 Calculate the remainder when 1497 is divided by 36. 21 What is the remainder when 1241 is divided by 114? 101 Calculate the remainder when 430614 is divided by 38. 36 Calculate the remainder when 39327 is divided by 277. 270 What is the remainder when 64929 is divided by 1352? 33 Calculate the remainder when 67196 is divided by 52. 12 Calculate the remainder when 14735 is divided by 48. 47 Calculate the remainder when 6947 is divided by 153. 62 What is the remainder when 34777 is divided by 285? 7 What is the remainder when 37466 is divided by 2341? 10 What is the remainder when 10496 is divided by 1019? 306 What is the remainder when 6170 is divided by 335? 140 Calculate the remainder when 735 is divided by 535. 200 What is the remainder when 3775 is divided by 900? 175 Calculate the remainder when 177598 is divided by 337. 336 What is the remainder when 27437 is divided by 765? 662 What is the remainder when 38747 is divided by 1249? 28 What is the remainder when 466452 is divided by 258? 246 What is the remainder when 200752 is divided by 9? 7 Calculate the remainder when 1136 is divided by 892. 244 Calculate the remainder when 2550 is divided by 27. 12 Calculate the remainder when 3234 is divided by 1061. 51 Calculate the remainder when 5565 is divided by 1320. 285 What is the remainder when 3203 is divided by 81? 44 Calculate the remainder when 5048 is divided by 722. 716 Calculate the remainder when 177829 is divided by 187. 179 Calculate the remainder when 2320 is divided by 589. 553 What is the remainder when 2452 is divided by 224? 212 What is the remainder when 7918 is divided by 168? 22 What is the remainder when 8000 is divided by 7900? 100 What is the remainder when 12682 is divided by 103? 13 What is the remainder when 23634 is divided by 223? 219 Calculate the remainder when 80841 is divided by 37. 33 Calculate the remainder when 71890 is divided by 107. 93 Calculate the remainder when 13187 is divided by 99. 20 What is the remainder when 458 is divided by 397? 61 What is the remainder when 550 is divided by 44? 22 Calculate the remainder when 531967 is divided by 465. 7 What is the remainder when 31069 is divided by 32? 29 What is the remainder when 46384 is divided by 198? 52 What
{ "pile_set_name": "DM Mathematics" }
5 + -2. Let n(z) = -y*z**2 + 0*z**2 + 5*z**2. Let f(q) be the second derivative of -2*q**3/3 - 5*q. Calculate n(f(h)). 32*h**2 Suppose 2*b = 2*o - 2, b = 2*o + o - 3. Let q(l) = o - 14*l - 1 + 16*l. Let x(n) = -10*n. Determine q(x(a)). -20*a Let o(r) = 32*r. Let h(z) = z - 152. What is o(h(y))? 32*y - 4864 Suppose 3*h + 2*h = 10. Let w(g) = -h*g + 6*g - 2*g. Let x(p) = -2*p**2 + 3*p**2 + 2*p**2. Calculate w(x(d)). 6*d**2 Let m(r) = -3*r. Let k(v) = 26*v - 53. Determine m(k(x)). -78*x + 159 Let p(s) = -3*s**2 + 2. Let b(d) = 15*d**2 - 11. Let q(t) = -2*b(t) - 11*p(t). Let h(j) = -10*j**2. Give h(q(u)). -90*u**4 Let z(u) = 7*u - 27*u + 8*u. Let q(x) = 2*x**2. Give q(z(s)). 288*s**2 Let b(f) be the first derivative of -f**3 + 1. Let t(k) = 4*k. Determine t(b(a)). -12*a**2 Let u(f) = f + 1. Suppose 3*q = -11 - 7. Let y(z) = 7*z + 6. Let r(v) = q*u(v) + y(v). Let g(a) = -3*a**2. Determine r(g(b)). -3*b**2 Let f(m) = m**2. Let q(p) = -403*p**2. What is q(f(u))? -403*u**4 Let g(c) = -5*c. Suppose 4*a + 2 = 10. Let n(x) = -x + 9 + a*x - 9. Give n(g(y)). -5*y Let j(s) = 7*s. Let h(q) = 2*q. Determine h(j(v)). 14*v Let j(w) = 2*w. Let r(o) be the third derivative of 0 + 0*o**4 - 4*o**2 + 1/10*o**5 + 0*o + 0*o**3. Calculate r(j(f)). 24*f**2 Let y(s) = s. Let u(x) be the second derivative of -x**3 - 11*x. Give y(u(j)). -6*j Let y(v) = -v**2 + v - 1. Let k(w) = -2*w - 4*w**2 - 2 + 4 + 5*w**2. Let x(o) = -k(o) - 2*y(o). Let s(a) = 3*a. Give x(s(b)). 9*b**2 Let w(m) = -2*m**2. Let u(s) = -3913*s. Calculate u(w(o)). 7826*o**2 Let f(m) = 2*m. Let k(u) = 7*u + 3. Let y(i) = -160*i - 68. Let z(t) = -136*k(t) - 6*y(t). Calculate f(z(c)). 16*c Let o be 3 - (-2)/2 - -1. Let p(g) = -5*g**2 + 3*g**2 + o*g**2. Let t(s) = -3*s**2. What is t(p(b))? -27*b**4 Let i(w) be the first derivative of -11*w**2/2 - 3. Let p(l) = -2*l**2. What is i(p(a))? 22*a**2 Let p(c) = c. Let s(h) = -1222*h**2 - 2*h. What is p(s(w))? -1222*w**2 - 2*w Suppose 7*j - 3*j = 0. Let t(i) = -i**2 + 2*i + 2. Let q be t(2). Let h(w) = j*w**2 + w**2 + w**2 - w**q. Let c(u) = -u. Calculate h(c(l)). l**2 Let d(j) = j + 1. Let r(c) = -18*c - 15. Let w(m) = 15*d(m) + r(m). Let f(v) = v. What is w(f(i))? -3*i Let p(o) = o**2. Let k(i) be the third derivative of -i**5/15 + 11*i**2. Determine p(k(b)). 16*b**4 Let f(g) = -g**2. Suppose -2*n + 24 = 2*o, 24 = 2*n - 0*n + 3*o. Let s(a) = n*a**2 - 7*a**2 - 4*a**2. What is s(f(h))? h**4 Suppose 0*h + h = 6*h. Let y(x) be the third derivative of 0*x + h + 0*x**4 + 2*x**2 - 1/15*x**5 + 0*x**3. Let d(p) = p**2. Give y(d(z)). -4*z**4 Let r(q) = -27*q. Let y(o) = 8*o**2. What is y(r(d))? 5832*d**2 Let f(r) be the second derivative of -5*r**3/3 + 6*r + 6. Let w(q) = -4*q**2. What is w(f(u))? -400*u**2 Let v = 8 - 5. Let s(y) = 3*y + y - 5*y + v*y. Let z(x) be the first derivative of x**2/2 + 2. Give s(z(t)). 2*t Let i(j) = 4*j + 3*j**2 - 2*j**2 - 4*j. Let v(u) = -2*u**2. What is i(v(s))? 4*s**4 Let g(h) = 22*h + 23*h - 33*h. Let n(m) = -m. Determine n(g(u)). -12*u Let y(p) = -81*p. Let f(j) = 5*j**2. Give f(y(u)). 32805*u**2 Let v(d) be the first derivative of d**3 + 9. Let t(z) = 2*z**2. Calculate t(v(g)). 18*g**4 Let i(s) = 2*s**2. Let z(f) be the third derivative of -7/60*f**5 - 6*f**2 + 0*f + 0 + 0*f**4 + 0*f**3. Give i(z(b)). 98*b**4 Let z(c) = 45*c**2. Let y(w) = -w**2 - w. Let m(n) = 10*n**2 + 9*n. Let t(i) = -2*m(i) - 18*y(i). What is z(t(a))? 180*a**4 Let l(g) = 2*g. Let c(n) = 63*n + 27. Let v(y) = 9*y + 4. Let o(t) = 4*c(t) - 27*v(t). What is o(l(x))? 18*x Let b(f) = -f. Let x(r) = -1143*r. Give b(x(y)). 1143*y Let v(h) = -2*h. Let p(j) = -16*j. Suppose 2*t + 5*a - 26 = 0, 5*t + 3*a - 14 = 32. Let q(u) = 24*u. Let r(n) = t*p(n) + 5*q(n). Calculate v(r(w)). 16*w Suppose 0*j - 5*j = -10. Let i(x) = -x**2 - x**j + 4*x**2 - x**2. Let n(d) = d**2. Give i(n(q)). q**4 Let n(t) = -2*t - 5. Let s(r) = -2*r - 6. Let o(b) = 6*n(b) - 5*s(b). Let q(k) = -2*k. Give o(q(d)). 4*d Let q(g) = -g. Let z = 758 - 508. Suppose u = -4*u + z. Let p(n) = -u - 3*n**2 + 50. What is q(p(v))? 3*v**2 Let f(n) = -10*n**2 + 2*n. Let t(o) = -3*o**2. Determine t(f(c)). -300*c**4 + 120*c**3 - 12*c**2 Let n(l) = 2*l**2 + 3*l**2 - 2*l**2 - 4*l**2. Let m(w) = 11*w**2. Calculate m(n(k)). 11*k**4 Let z(n) = -n - 4. Let a be z(5). Let u = a + 15. Let b(q) = -6 + u + 3*q. Let c(o) = -3*o. Give b(c(r)). -9*r Let k(u) = 2*u. Let s(p) = 7*p**2 + 1. Calculate k(s(n)). 14*n**2 + 2 Let x(u) be the first derivative of 5*u**2/2 + 12. Let f(m) = 5*m**2. Determine x(f(o)). 25*o**2 Let b(t) = 3*t**2. Let i(s) = 99*s - 1. What is b(i(n))? 29403*n**2 - 594*n + 3 Let n(l) = 10*l + 2. Let g(i) = i**2. Calculate n(g(w)). 10*w**2 + 2 Let b(g) = -2*g. Let u(s) = -73*s + 134*s - 68*s. Give u(b(f)). 14*f Let a(x) = x. Let z(y) = -2*y + 44. Give a(z(k)). -2*k + 44 Let m(f) be the third derivative of -f**4/24 - 32*f**2. Let o(i) = 5*i. What is o(m(r))? -5*r Let v(x) = 9*x. Let g(d) be the first derivative of -d**2/2 - 14. Give g(v(u)). -9*u Let n = 11 - 8. Let q(w) = -n*w + 9*w - 3*w. Let g(m) = 2*m. Calculate g(q(b)). 6*b Let c(j) be the third derivative of 1/30*j**5 + 0 - 2*j**2 + 0*j**3 + 0*j**4 + 0*j. Let l(z) = z**2. Give c(l(f)). 2*f**4 Let a(b) = 15*b**2. Let o(c) = 6*c + 4. Let g(m) = -7*m - 5. Let r(z) = 4*g(z) + 5*o(z). What is r(a(p))? 30*p**2 Let r(n) = -n**2 + 9*n. Let y(j) = -5*j. Give y(r(p)). 5*p**2 - 45*p Let p(j) = 10*j - 7. Let a(z) = -3*z + 2. Let g(x) = -14*a(x) - 4*p(x). Let v(s) = 4*s**2. What is v(g(y))? 16*y**2 Let v(x) = x. Let a be 8/(-40) + (-16)/(-5). Let j(k) = -3*k - k + a*k. Determine v(j(r)). -r Let c(q) = -16*q. Let z(f) = 173*f**2. Give c(z(w)). -2768*w**2 Let m(c) = 2*c**2. Let y(t) = -t**2 - 10*t. Determine m(y(s)). 2*s**4 + 40*s**3 + 200*s**2 Suppose c = -c. Let p(s) = c - s - s + 0. Let a(l) = -2*l. Give p(a(j)). 4*j Let f(u) = -u**3 + 5*u**2 - u + 7. Let j be f(5). Suppose -t = -j - 0. Let v(a) = -2*a + 6*a - t*a. Let r(b) = 2*b. Give r(v(l)). 4*l Let l(t) = -6*t - 8. Let p(b) be the third derivative of 0 + 1/6*b**4 - 3*b**2 + 0*b + 5/6*b**3. Let c(h) = 5*l(h) + 8*p(h). Let w(o) = -o**2. Give c(w(x)). -2*x**2 Let z(h) = -2*h**2. Let d(j) = -j + 12. Calculate d(z(c)). 2*c**2 + 12 Let r(y) = -2*y**2. Let q(g) = 218*g**2. Determine q(r(i)). 872*i**4 Let f(g) be the first derivative of 11*g**3/3 + 27. Let u(d) = 2*d. Determine u(f(s)). 22*s**2 Let j(r) = 3*r + 7. Let n(o) = -3*o - 6. Let s(f) = 6*j(f) + 7*n(f). Let c(y) be the third derivative of y**4/12 + y**2. Give c(s(g)). -6*g Let p = -2 - -3. Let t(y) = -2*y - 5 + y + 5. Let w(f) = 2*f**2 + f. Let c(j) = p*w(j) + t(j). Let z(i) = -2*i**2. What is c(z(r))? 8*r**4 Let b(v) = 2*v**2 - 2*v + 2*v. Let d(x) be the third derivative of 1/60*x**5 + 0 + x**2 + 0*x**4 + 0*x + 0*x**3. Give d(b(y)). 4*y**4 Let i(b) = -2*b. Let c(m) = 9*m - 17*m + 9*m. Calculate i(c(n)). -2*n Let d(n) = 2*n**2 + 643 - 643. Let u(m) = m**2. Calculate d(u(g)). 2*g**4 Let g(r) = 15*r**2. Let q(t) = 406*t**2. Calculate q(g(f)). 91350*f**4 Let b(q) = 6*q**2. Let p(z) be the third derivative of z**4/24 + 20*z**2. Calculate b(p(m)). 6*m**2 Let w(c) = 2*c**2. Let v = -8 + 6. Let i be 1/(v - (-10)/4). Let r(d) = 0*d**2 + 0*d**i + d**2. What is w(r(s))? 2*s**4 Let q(z) = -3*z**2 - 4. Let d(r) = -2*r**2 - 3. Let o(g) = -4*d(g) + 3*q(g). Let n(i) = 7*i - 16*i + 9*i - i**2. Determine n(o(p)). -p**4 Let r(q) = 203*q - 2. Let t(h) = -3*h**2. What is r(t(a))? -609*a**2 - 2 Let n(j) = -j + 43. Let g(s) = -7*s + 2. Determine n(g(p)). 7*p + 41 Let h(j) = -2*j + 7*j - 3*j. Let q(c) be the first derivative of -2*c**3/3 - 3. Give h(q(u)). -4*u**2 Let p(y) = 3*y**2. Let z(i) = -585*i**2. What is z(p(r))? -5265*r**4 Let o = 11 - 2. Let j(a) = -4*a**2 - 7*a**2 + o*a**2. Let w(g) = 5*g. Determine w(j(t)). -10*t**2 Let m(r) = 16*r - 31*r + 16*r. Let a(h) = -50*h**2. Determine m(a(q)). -50*q**2 Let s(b) = -3*b**2 + 2*b. Let x(w) = -35*w**2 + 25*w. Let n(v) = 25*s(v) - 2*x(v). Let t(j) = -2*j**2. Give t(n(c)). -50*c**4 Let i(n) = -2*n. Let b(m) be the second derivative of -m**5/30 - 5*m**2 + m. Let d(h) be the first derivative of b(h). Calculate d(i(q)). -8*q**2 Let o(x) = 57*x. Let b(f) = 7*f. Determine b(o(w)). 399*w Let f(w) = 19*w + 26*w + 17*w - 46*w. Let t(l) = -2*l. Determine f(t
{ "pile_set_name": "DM Mathematics" }
23822 is divided by 2165? 7 Calculate the remainder when 76827 is divided by 605. 597 Calculate the remainder when 4051 is divided by 403. 21 What is the remainder when 1118 is divided by 38? 16 What is the remainder when 464263 is divided by 22? 19 What is the remainder when 452 is divided by 27? 20 Calculate the remainder when 226371 is divided by 45274. 1 Calculate the remainder when 381 is divided by 20. 1 What is the remainder when 161565 is divided by 748? 745 What is the remainder when 11689 is divided by 1788? 961 Calculate the remainder when 39981 is divided by 357. 354 Calculate the remainder when 553 is divided by 14. 7 Calculate the remainder when 53746 is divided by 111. 22 What is the remainder when 15948 is divided by 2276? 16 Calculate the remainder when 2764463 is divided by 645. 638 What is the remainder when 21321 is divided by 2131? 11 What is the remainder when 1726 is divided by 279? 52 What is the remainder when 25127 is divided by 2511? 17 What is the remainder when 5501 is divided by 166? 23 Calculate the remainder when 24699 is divided by 1452. 15 Calculate the remainder when 555448 is divided by 210. 208 What is the remainder when 92846 is divided by 55? 6 What is the remainder when 2972 is divided by 97? 62 What is the remainder when 1688 is divided by 473? 269 Calculate the remainder when 38738 is divided by 28. 14 What is the remainder when 6329 is divided by 183? 107 What is the remainder when 91977 is divided by 8? 1 What is the remainder when 10085 is divided by 478? 47 Calculate the remainder when 5229 is divided by 2614. 1 What is the remainder when 2602 is divided by 861? 19 What is the remainder when 55163 is divided by 30? 23 What is the remainder when 372 is divided by 46? 4 Calculate the remainder when 3573 is divided by 487. 164 What is the remainder when 1605502 is divided by 148? 146 Calculate the remainder when 28016 is divided by 171. 143 What is the remainder when 368796 is divided by 126? 120 What is the remainder when 30244 is divided by 115? 114 What is the remainder when 6778 is divided by 211? 26 What is the remainder when 682311 is divided by 58? 57 Calculate the remainder when 20774 is divided by 38. 26 What is the remainder when 129422 is divided by 43120? 62 Calculate the remainder when 23586 is divided by 23583. 3 Calculate the remainder when 313948 is divided by 75. 73 What is the remainder when 173911 is divided by 28983? 13 What is the remainder when 971 is divided by 344? 283 Calculate the remainder when 209790 is divided by 16. 14 Calculate the remainder when 405548 is divided by 357. 353 Calculate the remainder when 573154 is divided by 348. 346 What is the remainder when 96945 is divided by 48460? 25 Calculate the remainder when 221584 is divided by 455. 454 Calculate the remainder when 30471 is divided by 194. 13 What is the remainder when 102611 is divided by 25634? 75 What is the remainder when 12410 is divided by 2480? 10 Calculate the remainder when 34931 is divided by 2328. 11 Calculate the remainder when 147229 is divided by 49068. 25 Calculate the remainder when 3229686 is divided by 308. 306 What is the remainder when 11157 is divided by 30? 27 What is the remainder when 130386 is divided by 17? 13 Calculate the remainder when 8814 is divided by 2151. 210 Calculate the remainder when 625183 is divided by 135. 133 What is the remainder when 694 is divided by 61? 23 What is the remainder when 11657 is divided by 375? 32 What is the remainder when 3665 is divided by 9? 2 What is the remainder when 70395 is divided by 64? 59 What is the remainder when 27749 is divided by 375? 374 Calculate the remainder when 33085 is divided by 119. 3 What is the remainder when 2243 is divided by 94? 81 What is the remainder when 453559 is divided by 58? 57 Calculate the remainder when 124516 is divided by 316. 12 What is the remainder when 10208 is divided by 173? 1 What is the remainder when 2772 is divided by 121? 110 What is the remainder when 5012 is divided by 422? 370 What is the remainder when 6847 is divided by 95? 7 What is the remainder when 4439 is divided by 7? 1 What is the remainder when 110383 is divided by 386? 373 What is the remainder when 5111 is divided by 465? 461 Calculate the remainder when 2752 is divided by 79. 66 Calculate the remainder when 851303 is divided by 158. 157 Calculate the remainder when 15259 is divided by 1364. 255 Calculate the remainder when 12723 is divided by 28. 11 Calculate the remainder when 5332 is divided by 20. 12 What is the remainder when 492 is divided by 433? 59 What is the remainder when 24748 is divided by 603? 25 Calculate the remainder when 2528 is divided by 470. 178 Calculate the remainder when 169100 is divided by 114. 38 Calculate the remainder when 66127 is divided by 219. 208 Calculate the remainder when 124246 is divided by 702. 694 What is the remainder when 13740 is divided by 8? 4 Calculate the remainder when 64525 is divided by 296. 293 Calculate the remainder when 6318 is divided by 172. 126 What is the remainder when 439660 is divided by 8? 4 What is the remainder when 2772 is divided by 75? 72 What is the remainder when 8474 is divided by 2793? 95 Calculate the remainder when 4556 is divided by 2256. 44 Calculate the remainder when 72167 is divided by 582. 581 What is the remainder when 12757 is divided by 3186? 13 Calculate the remainder when 48555 is divided by 24148. 259 What is the remainder when 96229 is divided by 12020? 69 What is the remainder when 28726 is divided by 10? 6 Calculate the remainder when 54 is divided by 47. 7 Calculate the remainder when 654 is divided by 43. 9 Calculate the remainder when 8515 is divided by 341. 331 Calculate the remainder when 4024 is divided by 62. 56 What is the remainder when 720 is divided by 85? 40 Calculate the remainder when 182813 is divided by 93. 68 Calculate the remainder when 9114 is divided by 4440. 234 Calculate the remainder when 9849 is divided by 56. 49 What is the remainder when 209463 is divided by 258? 225 What is the remainder when 172793 is divided by 186? 185 Calculate the remainder when 26219 is divided by 23. 22 What is the remainder when 120681 is divided by 419? 9 What is the remainder when 1162 is divided by 109? 72 Calculate the remainder when 357355 is divided by 215. 25 Calculate the remainder when 1802 is divided by 311. 247 What is the remainder when 9609 is divided by 464? 329 Calculate the remainder when 1309557 is divided by 210. 207 What is the remainder when 384 is divided by 360? 24 What is the remainder when 5837 is divided by 48? 29 What is the remainder when 9812 is divided by 617? 557 What is the remainder when 8051 is divided by 6267? 1784 Calculate the remainder when 116971 is divided by 6. 1 Calculate the remainder when 4033 is divided by 575. 8 What is the remainder when 13020 is divided by 148? 144 What is the remainder when 17644 is divided by 34? 32 Calculate the remainder when 11660 is divided by 307. 301 Calculate the remainder when 8486 is divided by 1060. 6 Calculate the remainder when 61766 is divided by 142. 138 What is the remainder when 460 is divided by 149? 13 What is the remainder when 2051 is divided by 271? 154 Calculate the remainder when 358679 is divided by 228. 35 Calculate the remainder when 156207 is divided by 275. 7 What is the remainder when 70285 is divided by 221? 7 What is the remainder when 1999436 is divided by 238? 236 What is the remainder when 2203 is divided by 2167? 36 Calculate the remainder when 136207 is divided by 31. 24 Calculate the remainder when 94 is divided by 89. 5 What is the remainder when 4369 is divided by 210? 169 Calculate the remainder when 3435 is divided by 48. 27 What is the remainder when 54585 is divided by 14? 13 Calculate the remainder when 174302 is divided by 2100. 2 Calculate the remainder when 29328 is divided by 341. 2 Calculate the remainder when 190773 is divided by 23841. 45 Calculate the remainder when 11168 is divided by 414. 404 What is the remainder when 2240 is divided by 1852? 388 Calculate the remainder when 11387 is divided by 550. 387 What is the remainder when 168854 is divided by 168826? 28 What is the remainder when 2424 is divided by 2387? 37 What i
{ "pile_set_name": "DM Mathematics" }
x(c) be the first derivative of b(c). Factor x(f). f**2*(f - 1)*(f + 1) Let v(b) = -b**3 + 36*b**2 - 72*b + 53. Let o(j) = -18*j**2 - 9*j + 16*j - 27 + 29*j. Let m(x) = 5*o(x) + 3*v(x). Suppose m(g) = 0. Calculate g. 2 Let x be (-2 - (-61)/12) + -3. Let t(q) be the second derivative of -1/48*q**4 + q - 1/8*q**2 + 0 - x*q**3. Factor t(m). -(m + 1)**2/4 Let h(p) be the third derivative of -p**8/336 - p**7/210 + p**6/120 + p**5/60 + 29*p**2. Suppose h(y) = 0. What is y? -1, 0, 1 Let y be 143/26*(-2)/3. Let g = y - -13/3. Factor 0*j - g*j**2 + 0 + 4/3*j**3. 2*j**2*(2*j - 1)/3 Solve -2*o**2 + 3 + 0*o**2 + 3*o + o**2 - o = 0. -1, 3 Let m be (-27)/(-54) + 1 + 10/4. Let j(w) be the second derivative of 3*w + 0*w**2 + 0 + 1/6*w**m + 0*w**3. Let j(a) = 0. Calculate a. 0 Let h(u) be the second derivative of -u**8/1680 + u**7/840 + u**3/6 + u. Let n(d) be the second derivative of h(d). Let n(a) = 0. Calculate a. 0, 1 Let u be ((-1)/(-2))/(6/(-36)). Let a = u - -5. Find x, given that -2*x**5 + 0*x**4 + 6*x - 4*x**2 - 4*x**3 + 6*x**4 + 0*x**4 - a = 0. -1, 1 Let t = -1317 - -4027/3. Solve t*m + 8/3 + 361/3*m**3 + 254/3*m**2 + 224/3*m**4 + 49/3*m**5 = 0. -2, -1, -2/7 Let z(n) be the first derivative of 0*n + 1/3*n**2 - 1/6*n**4 + 1/9*n**3 - 1/15*n**5 - 3. Factor z(g). -g*(g - 1)*(g + 1)*(g + 2)/3 Suppose 5*i + 0 + 5 = 0. Let q be -3 - 40/(-12) - i. Factor 0*j**2 - q*j**3 + 0*j - 2*j**4 + 0. -2*j**3*(3*j + 2)/3 Let h be (-6 - 63/(-33))/(6/(-4)). Find k such that -18/11*k**4 + h*k**3 + 2/11*k - 14/11*k**2 + 0 = 0. 0, 1/3, 1 Factor -1/6*g**2 + 0 + 1/6*g. -g*(g - 1)/6 Let x be (-1)/(((-15)/12)/5*14). Factor -x + 4/7*a - 2/7*a**2. -2*(a - 1)**2/7 Let d(u) be the third derivative of -u**5/12 - 5*u**4/8 + 64*u**2. Factor d(v). -5*v*(v + 3) Let j(z) be the first derivative of 1/12*z**4 - 1/3*z - 1/3*z**3 + 2 + 1/2*z**2. Let j(r) = 0. What is r? 1 Let l(f) be the second derivative of 5/2*f**5 + 8*f - 12*f**2 - 56/3*f**3 - 55/6*f**4 + 0. Factor l(i). 2*(i - 3)*(5*i + 2)**2 Let q be ((-28)/210)/(6/(-10)). Find f, given that -2/3*f**3 + 0 - q*f + 2/3*f**2 + 2/9*f**4 = 0. 0, 1 Let k = -1/53 + 55/106. Let y(u) be the first derivative of 1/10*u**5 - 1 - k*u**2 + 1/4*u**4 + 0*u**3 - 1/2*u. Let y(a) = 0. Calculate a. -1, 1 Let m(f) = f - 1. Let g(j) = j**2 - 4*j + 3. Let t(y) = 3*g(y) + 6*m(y). Factor t(h). 3*(h - 1)**2 Let p(g) = g**2. Let o be p(2). Let m(r) be the second derivative of 0*r**2 + 2*r - 1/75*r**6 + 0*r**5 + 0 + 1/30*r**o + 0*r**3. Factor m(a). -2*a**2*(a - 1)*(a + 1)/5 Let l(n) be the first derivative of n**9/4536 - n**8/1260 + n**6/270 - n**5/180 - n**3 - 3. Let k(g) be the third derivative of l(g). Factor k(q). 2*q*(q - 1)**3*(q + 1)/3 Let g(x) = -11*x**2 + 6*x - 8. Let s(r) = 12*r**2 - 7*r + 6. Let u(q) = 3*g(q) + 4*s(q). Factor u(l). 5*l*(3*l - 2) Let s(r) = 8*r**2 - 8*r - 7. Let g(l) = l**2 - l - 1. Let t(w) = 28*g(w) - 4*s(w). What is d in t(d) = 0? 0, 1 Let x(s) be the first derivative of -s**5/25 + s**4/10 - s**3/15 - 7. Suppose x(i) = 0. What is i? 0, 1 Factor 2/7*z + 2/7 - 2/7*z**2 - 2/7*z**3. -2*(z - 1)*(z + 1)**2/7 Let b = 24545/53361 - -2/5929. Let c = b - 1/63. Solve -c + 2/3*p - 2/9*p**2 = 0 for p. 1, 2 Let x(k) be the first derivative of -k**4/18 - k**3/9 + 8*k - 8. Let t(g) be the first derivative of x(g). Suppose t(r) = 0. What is r? -1, 0 Let i be (-40)/16*2/(-1). Factor 2*h**4 - 9*h**2 - 4*h**3 + 2*h**4 + 4*h**i + 5*h**2. 4*h**2*(h - 1)*(h + 1)**2 Let g = 2 + -1. Let h = -4 + 6. Determine x so that -2 + h*x - g + 2*x**2 - 1 = 0. -2, 1 Let k be (-62)/(-14) + 6/(-14). Let r = k + -5/2. Determine v so that 5/2*v**2 - v**5 - 3/2*v**4 + 5/2*v**3 - 1 - r*v = 0. -2, -1, -1/2, 1 Let k(g) be the third derivative of 1/24*g**3 + 1/80*g**5 - 1/480*g**6 + 0*g + g**2 - 1/32*g**4 + 0. Solve k(v) = 0. 1 Let a(g) be the second derivative of -g**5/120 + g**4/48 - g**2 + 4*g. Let z(h) be the first derivative of a(h). Determine y, given that z(y) = 0. 0, 1 Factor 4/3*z**2 + 2/9 - 8/9*z**3 - 8/9*z + 2/9*z**4. 2*(z - 1)**4/9 Let f(b) be the first derivative of -4*b**5/5 - 4*b**4/3 - 4*b**3/9 + 2. What is w in f(w) = 0? -1, -1/3, 0 Let a(m) be the first derivative of -m**5/5 - m**4/4 + 2*m**3/3 - 17. Factor a(y). -y**2*(y - 1)*(y + 2) Let z(y) = 3*y**2 + 2 - 4*y**2 + 2*y + 0*y**2 + 4*y. Let d be z(6). Factor 4/3*p**d - p - 1/3. (p - 1)*(4*p + 1)/3 Let l(k) be the second derivative of -k**6/1440 - k**5/480 + k**4/48 - 2*k**3/3 + 3*k. Let b(a) be the second derivative of l(a). Suppose b(v) = 0. What is v? -2, 1 Let r = 31 - 31. Suppose r + 4/3*i + 2/3*i**2 = 0. Calculate i. -2, 0 Determine c, given that -60*c + 45*c**5 + 118*c**2 + 4 + 4*c**5 + 4 - 126*c**4 + 11*c**3 = 0. -1, 2/7, 1, 2 Let b(p) be the second derivative of -p**2 + 0 + 1/150*p**5 - p + 1/15*p**3 - 1/30*p**4. Let a(r) be the first derivative of b(r). Find m such that a(m) = 0. 1 Factor 1/4*a + 1/4*a**3 + 0 - 1/2*a**2. a*(a - 1)**2/4 Solve 2/11*u**4 - 2/11*u + 2/11*u**3 - 2/11*u**2 + 0 = 0 for u. -1, 0, 1 Let c(q) be the first derivative of 1/4*q**2 - 5 + 1/12*q**3 - 3/4*q. Factor c(w). (w - 1)*(w + 3)/4 Factor 2/9 - 2/3*k**4 - 2/3*k + 2/9*k**5 + 4/9*k**3 + 4/9*k**2. 2*(k - 1)**4*(k + 1)/9 Let w(k) be the second derivative of 1/18*k**4 - 2/27*k**3 + 0*k**2 + 3*k + 0 - 1/90*k**5. Factor w(g). -2*g*(g - 2)*(g - 1)/9 Let y be -4*3*4/(-72). Factor 0*x**2 + 0 - 2/3*x**3 + y*x. -2*x*(x - 1)*(x + 1)/3 Let y(f) be the second derivative of -3*f**7/8 + 9*f**6/10 - f**5/4 - 5*f**4/8 + f**3/8 + f**2/4 + 15*f. Let y(p) = 0. What is p? -1/3, -2/7, 1/3, 1 Let l(k) = -k**2 + 2*k - 7. Let p(d) = -6*d**2 + 10*d - 36. Let y(f) = 16*l(f) - 3*p(f). Suppose y(g) = 0. What is g? -2, 1 Let k(r) be the second derivative of r**6/90 - r**5/30 - r**4/36 + r**3/9 + 30*r. Factor k(x). x*(x - 2)*(x - 1)*(x + 1)/3 Let l be 0 - (-2 - (-118)/60). Let j(b) be the second derivative of 0 + 0*b**2 - l*b**4 + b - 1/15*b**3. Factor j(s). -2*s*(s + 1)/5 Let o(n) be the third derivative of -n**5/12 + 25*n**4/24 - 5*n**2. Factor o(f). -5*f*(f - 5) Let j = -12 - -17. Suppose -3*q + 24 = 5*r, j*r - 3*q + 2 = 8. Let -4*g + 3*g**4 - 2*g**2 - 1 + r*g**3 + g - g**3 + g**5 = 0. What is g? -1, 1 Let w = 3 + -1. Solve h + 4 + 2*h**w - 7*h + 0*h**2 + 0*h**2 = 0 for h. 1, 2 Let g(c) be the first derivative of 3/5*c**5 - 3/2*c**2 - 9/4*c**4 + 3*c**3 - 3 + 0*c. Solve g(b) = 0. 0, 1 Factor 0*a - 8/5*a**2 + 4/5*a**3 + 0 + 4/5*a**4. 4*a**2*(a - 1)*(a + 2)/5 Let m(v) be the first derivative of -v**3/6 + 2*v**2 - 8*v + 2. Factor m(j). -(j - 4)**2/2 Let h = -33 + 33. Let p(d) be the second derivative of 0*d**5 + 1/10*d**4 + 2/15*d**3 + h - 1/75*d**6 - 3*d + 0*d**2. Factor p(w). -2*w*(w - 2)*(w + 1)**2/5 Let m(o) = 2*o**2 - 7*o + 23. Let p = 11 + -15. Let a(y) = -2*y**2 + 8*y - 22. Let x(s) = p*m(s) - 5*a(s). Find l such that x(l) = 0. 3 Let x = 4 - 1. Suppose -x*p - 2*p = -10. Let 1/4*m**p + 1/2*m + 1/4 = 0. Calculate m. -1 Let r(q) be the third derivative of q**5/60 - q**4/24 - q**3/3 + 6*q**2. Factor r(h). (h - 2)*(h + 1) Factor 0 - 24/5*m**3 - 3*m**2 - 2/5*m - 11/5*m**4. -m*(m + 1)**2*(11*m + 2)/5 Let r(i) = 2852*i**4 - 836*i**3 - 916*i**2 - 172*i - 28. Let f(q) = 317*q**4 - 93*q**3 - 102*q**2 - 19*q - 3. Let t(x) = -28*f(x) + 3*r(x). Factor t(k). -4*k*(4*k + 1)**2*(5*k - 4) Suppose 0*k = z - k - 11, -5*k = 5. Factor 3*d**4 + 7*d**5 + 4 - z*d**5 - 4. -3*d**4*(d - 1) Let v(f) be the first derivative of 5 + 2*f**6 + 9/5*f**5 - 15/4*f**4 + 0*f - 3*f**3 + 3/2*f**2. What is h in v(h) = 0? -1, 0, 1/4, 1 Find u, given that -5/2*u**2 + 0*u**3 + 5/2*u**4 + 0 + 0*u = 0. -1, 0, 1 Let o(n) be the first derivative of 7*n**6/6 + 2*n**5/5 - 10. Factor o(p). p**4*(7*p + 2) Let r be 10/(-60) + (-2)/(-8). Let t(w) be the first derivative of -1/16*w**4 - 1/20*w**5 + 0*w + 1/8*w**2 + r*w**3 + 3. Solve t(v) = 0. -1, 0, 1 Let v(u) = u**4 - u**3 - u**2 + u - 6. Let g(h) = 1. Let o(w) = 6*g(w) + v(w). Factor o(r). r*(r - 1)**2*(r + 1) Let 3/4*w**2 + 0 - 9/4*w - 3/4*w**4 + 9/4*w**3 = 0. What is w? -1, 0, 1, 3 Let t(v) be the third derivative of -v**5/20 + v**4/8 + v**3 - 2*v**2. Suppose t(n) = 0. What is n? -1, 2 Suppose -15 = -5*q + 5*a, -2*q + 4*a = -6*q + 12. Factor 0*d**3 - d - 2*d**q + 2*d**2 + d. -2*d**2*(d - 1) Let z(k) be the first derivative of 1/36*k**4 + 0*k**2 + 1 + 1
{ "pile_set_name": "DM Mathematics" }
sitive. k**(-165/2) Simplify (n*n*n*n**(-2/3)*n**(-13/4))/(n*n**(-7)/n)**(10/7) assuming n is positive. n**(109/12) Simplify (n*(n/(n*n*((n*n/n**(-3/5))/n)/n)*n)/n)**(10/3)/(n**(-12)/n*n*n**(-1/19)*n) assuming n is positive. n**(172/19) Simplify (((c**(2/9)*c)/c)/c*c**(-3/8))**(11/5) assuming c is positive. c**(-913/360) Simplify u**(4/3)/(u**(-12)*u)*u**(-1)*u**(-2/5)*u assuming u is positive. u**(179/15) Simplify (((n*n**(12/7)*n)/n*n)/n)/n**2*n*n*n/(n**(-2/51)/n*n*n)*(n/n**24)/n assuming n is positive. n**(-7585/357) Simplify (f*f**(4/9))**2*f/(f/(f/(f*f*f*f*f**(-15)*f)))*f**(-7/5)/f*f assuming f is positive. f**(562/45) Simplify (a*a**(1/3))**(-24)*a**(-1/7)*a/(a*a**(1/15)*a*a) assuming a is positive. a**(-3592/105) Simplify (q**29*q*q**(1/13))/(q*q**(-16))**(1/64) assuming q is positive. q**(25219/832) Simplify (((v**(-4)/v)/(v/v**(3/7)))/(v**(-1/3)/v)**(4/19))**(-12) assuming v is positive. v**(8444/133) Simplify (l/(l/(l*l*l**(2/7))))**(-3/14)*l**(-1/13)/l*l*l*l**(-2/11)/l assuming l is positive. l**(-5245/7007) Simplify (r**(-2/7))**24*(r**3)**(-7) assuming r is positive. r**(-195/7) Simplify s**(-7/5)*(s*s**(-1))/s*s*s**(-1/3)*s**(-4/5)*s assuming s is positive. s**(-23/15) Simplify ((s*s*s**(-3/16)/s)/(s/(s/s**(-28))))/((s*s*s**17)/(s*s**(1/8)*s)) assuming s is positive. s**(191/16) Simplify y/y**(-7/2)*y/(y*(y**7*y)/y)*(y/(y**(-1)/y*y))**(-4/5) assuming y is positive. y**(-41/10) Simplify (x**(-3/5)/x*x*x/x**(-2/29))/(x**(-2)*x*x*x**(7/4)) assuming x is positive. x**(-743/580) Simplify (y**(-6)/(y/((y*y/y**(-3/2))/y)))/((y**(-2/15)*y)/y)**(-10/7) assuming y is positive. y**(-197/42) Simplify ((a**(-2/7)/a)**13/(((((a*a**(-2/3))/a)/a*a)/a)/a*a/(a/(a*a/(a/a**(-3/4))*a*a))))**(1/35) assuming a is positive. a**(-1369/2940) Simplify (g**(2/17)/(g/(g**3*g*g)))/(g*g**(14/9)*g**(-4)) assuming g is positive. g**(851/153) Simplify ((u**(-1/7)*u**13)/(u**(2/11)*((u/(u**7*u))/u)/u*u))**40 assuming u is positive. u**(63680/77) Simplify (w/(w/w**(-34))*w*w/(w/(w**37*w*w)))/(w**(-28)*w**(-28)) assuming w is positive. w**62 Simplify (w**5)**(-1/18)/(w**0)**(-37) assuming w is positive. w**(-5/18) Simplify (d**(-2/11)/(d/(d/(d/((d/d**(-14))/d)))))/(d*d**18*d*d**(-7/2)) assuming d is positive. d**(-81/22) Simplify (z*z*z/z**12)**(2/11)/(z**7*z**(-2/33)) assuming z is positive. z**(-283/33) Simplify r/(r*r*r/(r*r**(4/5))*r*r)*r**(-10/7)*r/(r/r**11)*r**(-5/4)/r*r assuming r is positive. r**(857/140) Simplify ((t*t**40)/(t*(t**(-32)*t)/t))**(-1) assuming t is positive. t**(-72) Simplify ((b**14/b)/b*b*b/(b/b**10)*b*b)/(b*b*b*(b*b**2)/b)**(-1/3) assuming b is positive. b**(80/3) Simplify (o**28*o**(34/3))**(-1/42) assuming o is positive. o**(-59/63) Simplify (v*v/(v*(v/v**(-6/13))/v)*v/(v**(-8)*v))/(v/(v/(v**(-1)*v)*v))**47 assuming v is positive. v**(722/13) Simplify ((v*v**(-8)*v)/(v/v**(-7/4)*v)*v*v**(2/11)*v*v**(1/14))**27 assuming v is positive. v**(-62343/308) Simplify p**0*p/p**(-26)*(p**(-4/5)/p)/(p*p/p**(-14/5)) assuming p is positive. p**(102/5) Simplify v**(-1/7)*v*v**(-2)*v/(v**(-2/17)/v*v)*v**(-2/17)*v assuming v is positive. v**(6/7) Simplify (l/(l**(-7)*l)*(l*(l*l**(2/9)*l*l)/l)/l*l)/((l/((l/((l**11*l*l*l)/l))/l)*l)/((l/(l/(l*l**(-9/7)/l*l*l)))/l)) assuming l is positive. l**(-319/63) Simplify ((o**(-16)*o**20)**(2/5))**17 assuming o is positive. o**(136/5) Simplify ((w**(2/3))**(-10)/(w/(w/(w/(w/(w*w*w*w**1*w)*w))))**(-2/17))**(-3/17) assuming w is positive. w**(316/289) Simplify ((w**(-3)*w)/w)**(1/22)/((w*w**(-2)*w)/w**(2/11)) assuming w is positive. w**(1/22) Simplify ((a*a**(3/25)*a)/a**(-4/3))**(2/101) assuming a is positive. a**(518/7575) Simplify (d/(d**(-7)*d))**(-7)*d**(-18)*d*d*(d*d**(-1))/d assuming d is positive. d**(-66) Simplify (k**(1/3))**(-47)*(k/(k/(((k*k*k/(k/k**(1/2)))/k)/k))*k)/k*k**20 assuming k is positive. k**(29/6) Simplify (y**10)**7/(y**7)**17 assuming y is positive. y**(-49) Simplify ((k**(-20)/k)/k*k**(4/13))/(k*k**(2/39))**(-21/5) assuming k is positive. k**(-1123/65) Simplify p*p*p*p/p**(1/6)*p*p*p*p*p**(-2/23)*(p**(-4)*p*p)**(7/8) assuming p is positive. p**(1655/276) Simplify (t/t**(7/4)*t)/t**1*t/t**(1/10)*t**(-2/49) assuming t is positive. t**(107/980) Simplify (f**3*f)/((f*f/(f*(f**10*f)/f))/f)*(f*f*f*f/(((f/(f**(-2/13)/f))/f*f)/f))**(2/29) assuming f is positive. f**(5352/377) Simplify (f**4)**(-10)*(f/(f/f**(-1/2)))**(3/10) assuming f is positive. f**(-803/20) Simplify (((m/m**(3/11))/(m/m**(6/11)*m))**(2/35))**(2/21) assuming m is positive. m**(-32/8085) Simplify (m*m*m**(1/22)*m**7)/(m**(1/14)/m**(3/11)) assuming m is positive. m**(712/77) Simplify (q*q/(((q**(-3)/q)/q)/q))**27*(q*q/(q*q*q/(q**(4/7)/q)*q))/(q**1/q) assuming q is positive. q**(1495/7) Simplify (w/w**(-3/23)*w**(2/25))**(-3/16) assuming w is positive. w**(-261/1150) Simplify (y**(1/2))**26/(y**(2/7))**42 assuming y is positive. y Simplify t/(t**3/t*t)*(t*t/(t/t**(-8))*t)/t*(t*t/(t**(4/7)/t))**(-1/88) assuming t is positive. t**(-5561/616) Simplify (((s**(-6)/s)/s*s**(2/13))**(-43))**(14/3) assuming s is positive. s**(20468/13) Simplify (m**(-4)/m*m)**46*(m*(m*((m/(m*m**(-1/28)))/m)/m*m*m)/m)/m*m*m*m*m/m**6*m*m assuming m is positive. m**(-5151/28) Simplify (f*f**(3/10))/((f**(-6/23)*f)/f)*(f/(f*f*f**(1/52)/f))/(f/f**19) assuming f is positive. f**(116859/5980) Simplify v*v/v**(7/2)*v**(1/22)*((v**(-4/7)/v)/v)/v*v/((v/((v/(v**6/v))/v*v))/v) assuming v is positive. v**(-618/77) Simplify s**19*s**(-21)*((s**(-11)/s)/s)/(s/s**(1/11)) assuming s is positive. s**(-175/11) Simplify (((n/n**(-2/11))/n**(3/5))/(n**(-2/7))**28)**(9/8) assuming n is positive. n**(531/55) Simplify (((y**(-8)/y*y*y)/y*y*y)/y)**(-16)*y**(-26)/y**(2/13) assuming y is positive. y**(1116/13) Simplify (p*(((p/p**(-2/13))/p)/p)/p)**(-47)*p**(-2/3)*p**(-2/87)/p assuming p is positive. p**(14356/377) Simplify q**8*q/(q**12/q)*q*q**(1/11)/(q**10/q) assuming q is positive. q**(-109/11) Simplify ((n/(n*n**(3/4)/n*n))/n**(-1))/(n*n**(-1/2)*n*n*n**(-1/3)/n*n) assuming n is positive. n**(-23/12) Simplify ((v**(-2/3)/v**(-6))/((v*v**(-2/11))/((v/(v*v**(1/6)*v*v))/v)))**(-15) assuming v is positive. v**(-445/22) Simplify ((l/(l/(l**(-1)*l*l)))/((l*l**(-1/3)*l)/l))/((l*l**(-3/8)/l)/(l**(-8)*l*l)) assuming l is positive. l**(-127/24) Simplify ((s**(-1/3))**(2/69)/(s/s**(1/2)*s**(-2)/s*s*s))**39 assuming s is positive. s**(2639/138) Simplify ((c**(2/5)*(c**8*c)/c)**(-46))**(11/5) assuming c is positive. c**(-21252/25) Simplify (p**(-4)/p**7*p**3/(p**(-1/4)/p))**(-10/11) assuming p is positive. p**(135/22) Simplify ((u*u/u**45)/(u**(-19)/u))**47 assuming u is positive. u**(-1081) Simplify ((p*p*p/p**(1/3)*p)**(-21)*p**(-2/7)*p/(p*p/p**(1/10)))**(-14/9) assuming p is positive. p**(5473/45) Simplify (b**(-3/7))**(3/2)/(b*b/(b/(b**6*b))*b**7) assuming b is positive. b**(-219/14) Simplify (((k**0/k)/(((k/(k/(k*k**(-1/4))))/k)/k))/((k*k/(k**(1/2)/k)*k)/k*k*k*k)**20)**(-1/56) assuming k is positive. k**(439/224) Simplify (((s**(-1/7))**43)**(-1/22))**(-1/5) assuming s is positive. s**(-43/770) Simplify x**(-8/3)/x**(-4)*(x**1/x)**(12/7) assuming x is positive. x**(4/3) Simplify ((g/g**(3/7)*g*g)/g**(-19))/(g**(3/19)/(g*g/(g/(g/(g*g*g**(4/13)))))) assuming g is positive. g**(36492/1729) Simplify (v*v/((v*v/v**(1/5))/v))/v**10*((v**(-3/4)*v)/v)**(-9) assuming v is positive. v**(-41/20) Simplify (z*z**6*z**7)/(z*(z*z/(z**(-1/4)/z))/z)**(-1/28) assuming z is positive. z**(1581/112) Simplify (h*h*h/((h*h**(2/15))/h)*h)**(2/9)/((h*h**(-26))/(h**(-10)/h)) assuming h is positive. h**(2006/135) Simplify (((i**(-1/4)/i)/(i/i**(-3/2)))/(i**(1/3))**(2/27))**(-1/15) assuming i is positive. i**(1223/4860) Simplify ((l**(-2/45))**(-46))**(2/15) assuming l is positive. l**(184/675) Simplify (g**(-2/11)*g)**(-6/11)/(g**(3/8)/((g*g*g/((((g*g**0*g)/g)/g*g)/g))/g)) assuming g is positive. g**(1141/968) Simplify (d**(-3)*(d**25*d*d)/d*d)**(1/3) assuming d is positive. d**8 Simplify (a**(-5)/(a/(a/(a/(a**20*a)))))**42 assuming a is positive. a**630 Simplify (m**(-12)/m*m)/m**(1/5)*(m**(2/9))**(28/3) assuming m is positive. m**(-1367/135) Simplify (s/(s/(s/(s**(2/11)/s)))*s*s)**(-3)*s**(-9)/((s**(-14)*s*s)/s) assuming s is positive. s**(-82/11) Simplify (((i*i**(-4/5))/(i/((i**(-6)*i)/i)*i))/(i**3)**(4/27))
{ "pile_set_name": "DM Mathematics" }
hat is h(p)? 1 Let t(o) = 23*o**2 - 2*o + 64. Let w(h) = -27*h**2 + h - 76. Let a(n) = 7*t(n) + 6*w(n). Let u(i) = i**2 - 9*i + 7. Let v be u(7). Determine a(v). -1 Let t(c) = 4*c - 4. Let p be t(3). Let a(k) = 3 + 9581*k + 3 - 4 - 7 - 9580*k + 2. What is a(p)? 5 Let w(o) be the third derivative of o**6/120 + 7*o**5/60 + o**4/4 - 2*o**3/3 - 3*o**2. Let y(t) = -t**3 - 5*t**2 + 6*t - 6. Let a be y(-6). Give w(a). -4 Let r(o) be the first derivative of 2/3*o**3 + 3/2*o**2 + 1/4*o**4 + 22 - 6*o. Let q be r(0). Let l(g) = g**2 + 3*g - 7. What is l(q)? 11 Let m(y) = -2543 + 4952 - y + y**2 - 2484. Give m(0). -75 Let b(n) = -5*n**3 - 13*n**2 - 14*n + 1. Let j(g) = -4*g**3 - 12*g**2 - 9*g + 2. Let q(z) = -3*b(z) + 4*j(z). What is q(-10)? 45 Suppose 0 = 2*s - 5*a + 21, s + 0*s - 17 = -3*a. Let h(u) = -7*u**2 - s*u - 7*u + 104*u**3 - 103*u**3 + 6. What is h(8)? -2 Let y(b) be the first derivative of 138 + 1/2*b**2 + 0*b. What is y(0)? 0 Let v(l) = -28*l**3 - 12*l**2 + 17*l - 4. Let b(r) = -6*r**3 + 9 - 6*r**2 + 8*r - 11 - 7*r**3. Let k(o) = 13*b(o) - 6*v(o). Determine k(-6). -14 Let r be (6 - 33/6)/((-2)/(-8)). Let i(y) = y**2 + 2*y**r + 3*y - 1542 + 1544 + y. Suppose 10 = 3*q - 8*q. Give i(q). 6 Let t(u) = 2475*u**2 - 4*u - 7 - 2482*u**2 + 36 - 2*u + 3*u + u**3. What is t(7)? 8 Let r be 0 + -2 + 1 + (-84)/(-12). Let z(u) = -u**3 - u**2 + 1. Let k be z(-4). Let i(x) = -k*x + 55*x + 0*x**2 - x**2 + 8. Determine i(r). 8 Let k(b) = 0 - 1 + 0*b + 0 + b**3 - b - 5*b**2. Let x = -9 + 11. Suppose x*w - 1 = o, -3*o - 19 = -5*o - 3*w. What is k(o)? -6 Let x(c) = 82 + 3*c - 206 + 155 - c**2. Calculate x(9). -23 Let o be (-3)/(-5) - 17/(-5). Let k(m) = -18 - 6*m**2 - o*m**3 + 14 + 3*m**3 + 8*m**2 + 5*m. Determine k(4). -16 Suppose -2*g - 3*g = 5, -5*u + 3*g = 27. Let b(r) be the third derivative of -r**5/60 - 7*r**4/24 - r**3/3 + 228*r**2 + 3. Determine b(u). 4 Let f(c) = -3*c**3 + 6*c**2 - 5*c + 7. Suppose 0 = -7*q - 80 + 87. Let r(b) = -2*b**3 + b**2 - b + 1. Let z(g) = q*f(g) - 6*r(g). Determine z(-1). -9 Let a(p) = 10*p**2 - 23*p**2 + 12*p**2 + 4*p**2 + p - 2 + 0. Suppose 4*o + 24 = 4*c, -3*o = -4*c + 18 + 2. Suppose 1 = c*z - 3. Determine a(z). 12 Suppose 32*d - 105 = -25*d + 123. Let g(v) be the third derivative of 0*v - 1/6*v**3 + 0 + 1/24*v**6 - 1/30*v**5 + 1/12*v**d - 7*v**2. What is g(1)? 4 Let d(v) be the third derivative of v**7/60 - v**6/360 + v**5/120 - 22*v**3 - 119*v**2. Let j(i) be the first derivative of d(i). Calculate j(1). 14 Let a(r) = -143*r**2 - 279*r - 211. Let y(z) = 7*z**2 + 14*z + 10. Let f(x) = 2*a(x) + 41*y(x). Calculate f(-16). -12 Let d be ((-385)/15 - 30/(-18) - 6) + 6. Let r(h) = -6*h - 157. Determine r(d). -13 Let o(c) = 413*c**2 + 417*c**2 + 25*c + 414*c**2 + 3 + 402*c**2 - 1645*c**2. Give o(-25). 3 Let u(y) = -y**2 + 17*y - 3. Let v = 8543 - 8526. What is u(v)? -3 Let p(a) = a**3 - 9*a**2 + 8*a - 5. Let q(f) = f**3 + 4*f**2 - 15*f - 10. Let s be q(-6). Calculate p(s). -5 Let z(j) = -2*j**3 - 51 + j**2 + 3*j**3 - 25 + 75. Suppose 0 = 2*a - 4. Suppose 4*r = -r + 2*w + 2, -r + a*w = -2. Determine z(r). -1 Let n(c) be the third derivative of c**5/60 + c**4/8 + c**3/6 - 11*c**2. Let x(a) = a**2 - 5*a - 3. Let f be x(6). Let q be ((-2)/f)/(6/18). What is n(q)? -1 Let r(h) = -h**2 + 5*h. Suppose 7*b - 36 = -2*b. Suppose -b*y - 3 = -11. Suppose 5*i - 4*i = -y*l + 15, -3*l = -2*i - 12. Determine r(l). -6 Let z(i) = -391*i**2 - 558*i**2 + 952*i**2 - 5*i + 36. What is z(6)? 114 Suppose 2*v - 1157*o - 46 = -1159*o, -52 = -4*v + 4*o. Let s(u) = -4*u**2 + 70*u + 27. Calculate s(v). -9 Let f(j) = -5*j + 1. Let y(h) = -4*h + 1. Let c(b) = -3*f(b) + 4*y(b). Suppose 180*a + 1300 + 362 = -374*a. Determine c(a). 4 Let z = -4599 + 4601. Let a(s) = s**3 - 4*s**2 + 3*s + 2. Determine a(z). 0 Let i(y) be the first derivative of -1293*y + 15 + 0 + 3*y**2 + 1 + 1292*y. Determine i(2). 11 Suppose -511*w + 507*w = -1240. Let x(b) = 0 - 2 - 312*b**2 + w*b**2 - 5*b - 3. Calculate x(-5). -30 Let f(o) = -o**3 - 10*o**2 - 8*o - 7. Suppose -4*j = -8*j - 3*g + 17, 0 = j + g - 4. Let y(m) = m**2 + 7*m - 69. Let z be y(j). Give f(z). -16 Let n(f) = f**2 - 6*f + 5. Let j = -104 - -107. Let y(i) = -j*i + 16 + 51 + 25*i - 12*i. Let p be y(-6). Give n(p). 12 Let m(g) = -5*g - 10. Let u(t) = 7*t**2 - 12*t**2 + 6*t**2 - 5*t + 3. Let f be u(3). What is m(f)? 5 Let n(i) be the third derivative of -i**5/60 + 5*i**3/3 - 2488*i**2. Calculate n(-4). -6 Let x(t) be the first derivative of -2*t**3/3 + t**2 - 3*t - 5. Let z(s) = 2 + 4*s**2 - s**2 - 3*s**2 + 4*s + 2*s**2. Let w be z(-2). Calculate x(w). -7 Let f(t) = 8*t + 9. Let o(g) = 300*g + 11400. Let c be o(-38). Give f(c). 9 Let j(p) = 55*p + 490. Let b = -5435 + 5426. What is j(b)? -5 Let x(i) = -3*i**2 + i + 2. Let v(t) be the first derivative of -t**3/3 + 5*t**2 - 2*t + 49. Let g be v(10). Give x(g). -12 Let w(j) = j + 19. Let r = -73 - -56. Let i be w(r). Let q(o) = -3 - 5*o + i*o**2 + 16*o**3 - 1 - 15*o**3. Determine q(-3). 2 Let p = -332 + 336. Suppose -p*c = 8*c + 48. Let w(m) = -2 - 2*m**3 - 5*m**2 + m**3 + 7 - 2*m. Determine w(c). -3 Let j(l) = 3*l + 40. Let k be j(-6). Suppose -k*n + 28 = -16. Let p(z) = 21*z + 1. Determine p(n). 43 Let b(f) = -13*f - 8*f**2 + 248 - 2*f**3 + 249 + f**3 + 253 - 767. Determine b(-5). -27 Let s(d) = 474 - 5*d - 11*d - 7*d - 481. Calculate s(-6). 131 Let y(a) = -5*a**3 - 5*a**2 - 11*a - 3. Let m(x) = -2*x**3 - 4*x**2 - 8*x - 3. Let q(l) = -3*m(l) + 2*y(l). Determine q(-2). 39 Let y be 9/((-126)/(-4)) - (-18)/(-63). Let h be ((-9)/2)/(1/(-2)). Suppose y = h*l - l - 16. Let q(d) = -d**2 + 3*d - 2. Determine q(l). 0 Let u(w) = 3*w - 226*w**2 - 205*w**2 + 442*w**2. Calculate u(-2). 38 Let f be (-10)/8*(0 - -4). Let r(n) = -n**3 - 4*n**2 + 4*n - 11. Give r(f). -6 Let r(g) be the second derivative of -g**3/3 - 2*g**2 - 2*g + 68. Suppose -2*p + d + 3 = -4*p, -5*d + 18 = -p. Give r(p). 2 Let j be 104/6 + 2/(-6). Let i(h) be the second derivative of h**4/12 - 17*h**3/6 - h**2/2 + 413*h + 3. What is i(j)? -1 Let g = 11 + -8. Let b(n) = -315*n + 16. Let w(v) = -1299*v + 65. Let c(z) = -66*b(z) + 16*w(z). Give c(g). 2 Suppose 39*s = 737 - 464. Let j(w) = 2*w - 28. Let f(n) = -n + 14. Let i(u) = 11*f(u) + 6*j(u). Calculate i(s). -7 Let b = 221920 + -221926. Let p(o) = -4*o**2 + 11*o + 1. Let h(a) = -5*a**2 + 12*a + 2. Suppose 3*v - 17 - 1 = 0. Let x(d) = v*p(d) - 5*h(d). Give x(b). -4 Let i(t) be the second derivative of 195*t - 6*t**3 - 1/20*t**5 + 0 + 3/2*t**2 - 5/3*t**4. Calculate i(-18). 3 Let s(j) = j**2 + 10*j + 28. Let x be s(-6). Suppose 15 = -5*k - 5*o, k - 9 = 2*k + x*o. Let w(i) = 14*i**2 + i. Determine w(k). 13 Let i(o) = 30*o**2 - 1 + 10*o - 80*o**2 + 23*o**2 + 26*o**2 + 7. Suppose -2 = -3*l + 2*x + 25, 4*l + 4*x = 36. Determine i(l). 15 Let s be -3 + (-8)/(-28) + 19/7. Let x(g) = -285*g + 1 + 283*g + 3*g**2 + s. Give x(3). 22 Let u(o) = o**3 - 6*o**2 + 6*o - 3. Let s = 178 - 170. Suppose 4*x - 8 = 0, l + 2*x = 3*l - s. Calculate u(l). 33 Suppose 4*b = 14*b - 80. Suppose b*d = 6*d + 18. Let m(p) = -3*p + 11. Determine m(d). -16 Let o(g) = -g**3 + 3*g**2 - g + 3. Let w(n) = -n**2 + 2*n + 3. Let r(v) = 3*v**2 - 5*v - 9. Let l(s) = -6*r(s) - 17*w(s). Let t be l(0). Determine o(t). 0 Let d(w) = -3*w**2 - 22*w - 20. Let g(c) = -4*c**2 - 48*c - 49. Let z be g(-11). Let p(j) = 2*j**2 + 12*j + 10. Let a(m) = z*p(m) - 3*d(m). What is a(8)? -6 Let q(l) = -5*l - 50. Let v be q(-11). Suppose -3 = 2*x + v*g - 17, -4*g = -4*x. Let y(z) = 14*z - 3. Give y(x). 25 Let o be 6 - ((3 - 6) + (-7)/(-1)). Let w(d) = -3*d**3 - d + 2. Let n(a) = -5*a**3 - 6*a**2 - 11*a + 13. Let l(c) = o*w(c) - n(c). Give l(7). 5 Let d(p) = 2*p - 4. Let y be (-14 - 4/2) + (8 - 3). Let z be y/(-22) + 21/(-6). What is d(z)? -10 Let b(q) = -q**2 + 18*q + 15. Let u = 5586 + -5567. What is b(u)? -4 Suppose 6*u - 119 = -11*u + 102. Let y(t) = -t**3 + 12*t**2 + 13*t - 16. What is y(u)? -16 Let g(t) be the second derivative of -11*t**3/6 + 3*t**2 - 201*t - 8. Give g(5). -49 Suppose -i = 47 - 51. Let p(c) = i + c - 7 - 1 - 5. What is p(10)? 1 Let j(t) = -3*t**3 + 9*t**2 - 5*t - 8. Let m(w) = 7*w**3 - 20*w**2 + 11*w + 15. Let k(y) = 5*j(y) + 2*m(y). Let o be k(3). Let h(z) = 21*z - 1. Give h(o). -22 Let t(k) = 17*k**2 - 3*k**2 - 1
{ "pile_set_name": "DM Mathematics" }
Let y = -12 - -6. Let v be 344/28 - y/(-21). Suppose -4*d = k - 3, -8*d = -3*d - 4*k + v. Solve d*f - f + 5 = 0 for f. 5 Suppose 0 = -8*j + 6 + 34. Solve -j*n - 25 = -0*n for n. -5 Let j(q) = -q**3 + q + 20. Let w = 8 + -6. Suppose -2*f = -5*d, 7*d = w*d + 5*f. Let i be j(d). Solve -4*h - h - i = 0 for h. -4 Let h(g) = 4*g**2 - g. Let k(y) = -13*y**2 + 4*y - 1. Let t(w) = 7*h(w) + 2*k(w). Let z be t(2). Let b = -7 - -7. Solve b = -v - v - z for v. -4 Let g = 9 + 11. Let x(j) = -2*j**3 - j**2 + 6*j + 10. Let v be x(-2). Solve v*y = 5*y + g for y. 4 Let i(p) = -p + 6. Let o = -1 + 1. Let u be i(o). Let w = -36022 - -36022. Solve w = -x + u*x + 20 for x. -4 Suppose 0*m + 4 = m. Suppose -3*z - n + 3*n + m = 0, 5*n + 10 = 4*z. Solve z = 2*v - 0*v + 2 for v. -1 Suppose 16 - 6 = 2*z. Let m(k) = k**2 + 48*k - 93. Let v be m(-50). Solve -v - z = 4*f for f. -3 Let w = -81 + 84. Let t be (4 - w) + -1 + 3 + 0. Solve 0 = t*s + 2*s - 5 for s. 1 Suppose 2*v = 5*y - 5 - 6, 4*y - v = 10. Solve j - y*j = -2 for j. 1 Suppose 4*x = 3*r - 72, -x - 5 = -2. Let b = -51 - -56. Suppose 0 = -4*u + 3*q - 12, -u - b*q = 2*u - r. Solve o - 5*o + 16 = u for o. 4 Let y(i) = -i**3 + 19*i**2 + 21*i - 14. Let b be y(20). Suppose b*f - 5*r - 3 = 2*f, 5*f = 3*r + 7. Solve -f*s - s - 9 = 0 for s. -3 Let a be (2 - (-14)/(-6))*(14 - 5). Let s = a + 7. Solve -s*q = -1 + 5 for q. -1 Suppose -2*r = -5*x + 13, 4*r - 18 = r - 5*x. Let u(d) = d**2 + 15*d - 14. Let k be u(-16). Solve 0 = -t - r - k for t. -3 Let j(w) = -2*w**2 + w + 7. Let c be j(3). Let h be -2 + c/(-3 + -1). Solve -5*d + d + 4 = h for d. 1 Suppose 5*m - 12 = -t, -2*m - 5*t = -t + 6. Let l(h) = -5*h - 23. Let x be l(-11). Let k = x - 32. Solve k = -3*v + m - 0 for v. 1 Let k = 884 - 879. Solve 5 - k = -f for f. 0 Let o = -303 + 306. Let j(f) = -4 + 0 - 3*f**2 - f**3 + 7*f**2. Let z be j(o). Solve 0*y + y = z for y. 5 Let c be 10/2 + 23 + -17. Let u be 0/(-8) + (-2)/(-1). Solve -3 = u*k - c for k. 4 Let x(f) = 8*f**2 - 4*f - 3. Let q be x(-1). Suppose 3*k = q*k - 12. Solve 2*n - k + 0 = 0 for n. 1 Let c be 4/46 + (-30316)/(-506). Solve -20 = 16*h + c for h. -5 Let b(a) = 2*a - 10. Let o be b(6). Suppose 5*u + 10 + 0 = 5*v, -o = u. Suppose 0 = 3*l + 5*i - 30 - 18, -i = v. Solve -5*c + l = -c for c. 4 Let w(j) = -14*j + 71. Let b be w(9). Let c = b - -59. Solve -6*d = -c*d - 6 for d. 3 Let b be (15/6)/5 - 14/(-4). Solve -b*f = f for f. 0 Let s be (-8)/6*(-3)/2. Suppose -2*b - 5*t + 19 = 0, -6 = 3*t - 5*t. Suppose 2*m + 3*m - 21 = b*y, 0 = 4*y + 3*m - 23. Solve y*l = -s - 6 for l. -4 Suppose -21*d = r - 20*d - 15, r - 2*d - 12 = 0. Solve 32*q - 25*q = r for q. 2 Let n = -10 - -15. Solve x + 4*x - n = 0 for x. 1 Let h be (-30)/5 - (-12)/2. Solve 0 = -6*i + 24 - h for i. 4 Let m = -71 - -74. Solve -m = -5*o + 6*o for o. -3 Suppose u - 3*s - 6 = 0, s - 2 = 2*u + 2*s. Solve u*q - 4 = q for q. -4 Let c(i) = 10*i - 197. Let n be c(20). Solve n*a - a + 6 = 0 for a. -3 Let b(y) = -y**3 - 5*y**2 + 5*y - 3. Let w be b(-6). Let u be 0/w + -1 + 1. Suppose u = s + 4 - 7. Solve 0 = -5*r + 7 + s for r. 2 Suppose 0 = -3*p + 29*p - 26. Let b = 1 + 1. Solve -7 = b*z + p for z. -4 Suppose -200 = -59*o + 34*o. Solve -o*f + 11 + 5 = 0 for f. 2 Suppose 206*y - 207*y - 2*x + 5 = 0, 8 = y + 5*x. Suppose 0 = 2*o + o - 6. Solve 0 = -o*g + y*g + 5 for g. -5 Let f = 822 - 815. Solve -f*o + 69 = 34 for o. 5 Let t = -73 + 9. Let a be t/12*6/(-4). Solve -2*k + 0 - a = 0 for k. -4 Let t(y) = -5*y + 263. Let c be t(52). Let n = 5 + -3. Let d be 40/n*1/2. Solve -c*f - d = -22 for f. 4 Let g(x) = -x**3 + 4*x**2 - 3*x + 1. Let c(j) = j**3 - j**2 - j. Let s be c(2). Let p be g(s). Solve -p*a + 4*a = 0 for a. 0 Let n be ((-8)/4 + -3)/(-1). Suppose n*s + 321 = -189. Let h be (s/119)/(2/(-14)). Solve -a + h = 2 for a. 4 Suppose g = -4*h + 4*g, -3*h = 4*g. Suppose h = 2*t + 10 - 26. Solve -t = 2*y + 2 for y. -5 Let x be 16*8/(-16) + 8. Solve 4*r + 15 - 3 = x for r. -3 Suppose 88 = 5*f - f. Suppose 0 = 3*b - b - 5*l - f, 4*l - 56 = -3*b. Solve -5*r = -1 + b for r. -3 Suppose w - 19 = -2*b, -4*b + 39 = 2*w - b. Solve -6*c + 13*c = -w for c. -3 Suppose -a + 0*h + 2*h + 5 = 0, 0 = -2*h. Suppose -2*q + 0*q - a*l = 20, 4*q - 3*l = 12. Solve q = -g + 1 + 2 for g. 3 Let b(y) be the first derivative of 5*y**2 + 64*y + 49. Let l be b(-6). Solve 0 = r + 7 - l for r. -3 Suppose 3*k = 3 - 0. Let x(w) = w**3 - 21*w**2 + 55*w + 235. Let s be x(17). Solve -s - k = 3*m for m. -5 Suppose -2*i = -15*r + 17*r - 4, -24 = -3*r + 3*i. Suppose h + 5*k - 50 = -4*h, -2*k = -2*h + 40. Solve -5*q = h - r for q. -2 Let b be ((-2)/(-8) + (-221)/(-52))*10. Suppose 13*d = 10*d + b. Solve 5*u - d = -35 for u. -4 Suppose 6 = 2*n + n. Let s be (4 - 5)*-1*3. Suppose -s*a = -2*i - 23, 6*a - 30 = a - 5*i. Solve -3*r = -n - a for r. 3 Suppose -11*p - 6*p = -32*p. Solve 3*m + p + 12 = 0 for m. -4 Suppose 13*y - 4*f = 17*y - 40, 4*y + 3*f - 35 = 0. Solve y*b + 23 - 3 = 0 for b. -4 Let t(j) = j**2 + 29*j + 324. Let i be t(-16). Solve i*g + 1 = 115*g for g. -1 Let t = 3606 - 3606. Let c(j) = -j + 7. Let d be c(6). Solve -g = -d - t for g. 1 Let l be 10/(-8)*-1*(11 - -21). Solve 43*v - l*v + 9 = 0 for v. -3 Let p(u) = -u**3 + 14*u**2 + 31*u + 23. Let z be p(16). Solve 2*s = 9*s + z for s. -1 Let s be ((-9)/6)/(-4*(-4)/(-96)). Solve s*i + 1 = 10*i for i. 1 Suppose 0 = 5*j - 5*v + 50, j + 5*v + 6 = -2*j. Let r(y) = y**2 + 3*y - 25. Let d be r(j). Solve -d*b = -4*b for b. 0 Let m(g) = g**2 - 4*g + 3. Let r = 76 + -75. Let n be m(r). Solve n = -l - 1 - 1 for l. -2 Let u(q) = 4*q + 24. Let v be u(-5). Suppose -1 = c + 2*y, 7 = -v*c + 3*y + 14. Solve c = -4*l + 5*l for l. 1 Suppose 1499 = 20*a + 99. Solve -a = -7*c + 21*c for c. -5 Let d(n) = 13*n - 2. Let b be d(2). Solve b = -0*l - 6*l for l. -4 Suppose 4*y - 16 - 16 = 0. Let m be (-8)/(55/50 - 1). Let s be ((-96)/m)/(6/20). Solve -s*f - 4 = -y*f for f. 1 Suppose 5*p = -10, -v - 55 = -4*v + 5*p. Let x = -29 + 47. Let o = x - v. Solve 0 = -4*b + o*b + 3 for b. 3 Let t be 2*(-2)/(2 - 4). Suppose t*j - 7*j + 35 = 0. Solve 0 = -j*n + 2*n + 25 for n. 5 Let z(q) = -q**2 - 9*q - 11. Suppose 20 = -2*p + 6*p. Suppose -p*b + 0*b - 35 = 0. Let c be z(b). Solve 0 = -w + c*w for w. 0 Let k(z) = z**2 + 5*z. Let y be k(-5). Suppose -2*v + y*i + 55 = 3*i, -10 = -v - 5*i. Let d = -25 + v. Solve 2*r + d = 4*r for r. 5 Suppose -4*s = -6*i + 11*i + 7, -4*s + 11 = -i. Solve s*y = 7*y + 15 for y. -3 Suppose 395*o - 404*o + 72 = 0. Solve 7*s + 1 = o*s for s. 1 Let s(y) = 50 + 14*y + 7*y - 2*y**2 + y**2. Let f be s(23). Solve -10 = -f*u + 10 for u. 5 Let m = 5 + -7. Let c(y) = -y**3 - 3*y**2 - y + 2. Let t be c(m). Suppose t*v = -2*v - 4*j + 14, 0 = -3*v + j + 14. Solve 0 = -g + v*g for g. 0 Let u be (2/2)/((-5)/(-45)). Suppose 10*z - 12 - 8 = 0. Solve -j + u = z*j for j. 3 Let n(s) = -s + 28. Let h be n(26). Suppose -w + h = 3*r, -r = 3*r - w - 12. Solve d + 3 = -r*d for d. -1 Suppose -4*t + 20 = 12. Suppose -t*b + 6*b = 0. Solve -4*i = -b*i + 16 for i. -4 Let t = 1838 + -1825. Solve 0 = -t*u + 21*u - 24 for u. 3 Suppose -4*n = 2*d - 48, 2 = 4*d - 5*n - 55. Let r = 21 - d. Suppose 0*l = 3*l - 6. Solve r*i = -l - 7 for i. -3 Suppose -106*w = -41*w - 845. Solve w*s + 4*s + 34 = 0 for s. -2 Suppose -6 - 14 = -5*z. Suppose 5*h = -4*v + 30, 3*h + 6 = z*h - v. Suppose y - 3 = 5*w, 6*w - 2*y = 2*w - h. Solve -5*i + 34 - 9 = w for i. 5 Suppose -4*c - j + 7 = -4*j, -5 = -2*c + j. Suppose 18 = 5*a - g - 45, 47 = 3*a + c*g. Solve 3 = -5*t + a for t. 2 Suppose v = 2*t - 255 + 310, -v - 2*t = -55. Solve 0 = 3*r - 61 + v for r. 2 Suppose p = -4*p - 20. Let o be p*(38/(-4) - -2). Let x = -18 + o. Solve -x = -5*a + 13 for a. 5 Let r = 31 + -30. Let w = 4 + r. Solve w*g - 9 = 2*g for g. 3 Let s(m) = -3*m**2 + 24*m - 18. Let a be s(5). Solve 24*x = 93 + a for x. 5 Let h be (36/(-48))/((-2)/8). Suppose h*t = 3*z + 3, 3 = 4*z - t + 4. Solve 3*w - 7*w + 8 = z for w. 2 Let t be (-1)/(20/(-6) + 3). Suppose -4*d = 3*m - 3*d - 5, -2*d = -t*m + 17. Solve -2*j = -m*j for j. 0 Let f(l) = 2*l**2 - 2*l - 2. Let m be f(2). Let d(t) = -t - 4*t + 3*t + 3*t. Let v be d(m). Solve -z + v + 2 = 0 for z. 4 Suppose -3*x = -6, 4*x + 42 = 8*i - 3*i. Solve i*j + 0*j = 40 for j. 4 Let t be (-1 + 1)/(-1 + (2 - 3)). Solve t
{ "pile_set_name": "DM Mathematics" }
). 2*t**2 + 73 Let r(p) = -2*p**2. Let d(l) = 2141*l + 5. Let q(t) = -3202*t - 7. Let m(w) = 7*d(w) + 5*q(w). What is m(r(i))? 2046*i**2 Let w(l) = -13*l**2 - 54*l - 25. Let g(u) = 2*u - 42. Calculate g(w(n)). -26*n**2 - 108*n - 92 Let i(b) = -2*b**2 + 12625*b + 30. Let q(f) = -25*f. What is i(q(u))? -1250*u**2 - 315625*u + 30 Let j(z) = 5*z. Let p(a) = -43607911*a. Calculate p(j(n)). -218039555*n Let s(l) = -29*l - 1. Let g be s(-1). Let b(i) = -23 + 76 - 30 - 24. Let o(d) = d + 7. Let w(y) = g*b(y) + 4*o(y). Let q(k) = -4*k**2. What is w(q(c))? -16*c**2 Let m(b) = -2*b**2. Let o(r) be the third derivative of r**6/24 + 95*r**3/6 + 44*r**2. Let g(z) be the first derivative of o(z). Calculate g(m(u)). 60*u**4 Let g(b) = b. Let f(v) = -2707*v + 9. Let n(r) = -8313196*r + 27642. Let z(m) = 18428*f(m) - 6*n(m). Calculate g(z(q)). -5420*q Let g(h) = 11*h. Suppose 9 = 10*n + 3*q, -n + 18 = 5*q + 3. Let f(d) be the first derivative of 0*d + 39 + n*d**2 + 2/3*d**3. Determine f(g(b)). 242*b**2 Let g(d) = -4*d**2 - 2*d**2 + 4*d**2. Let o(z) be the first derivative of 1/2*z**2 - 156 + 0*z. Determine g(o(p)). -2*p**2 Let j be -3 + (2/(-1) + 109)*-1. Let d = j - -192. Let k(a) = 4*a - 82 + d. Let w(b) = -9*b**2. Calculate w(k(s)). -144*s**2 Let p(m) = m + 1226 - 215*m - 1224. Let k(d) = 4*d. What is p(k(y))? -856*y + 2 Let m(t) = 6*t. Suppose -y + 25*y - 240 = 0. Let x(q) = 2546 - y*q - 2546. What is m(x(n))? -60*n Let n(y) = 9*y**2 + 2. Let i(u) = 14*u - 38*u + 16*u + 8*u - 14*u**2. Determine i(n(a)). -1134*a**4 - 504*a**2 - 56 Let u(k) = -2*k + 15. Let b(j) = -15*j**2 - 13*j + 117. Let z(a) = -7*a**2 - 6*a + 54. Let v(g) = -6*b(g) + 13*z(g). What is v(u(n))? -4*n**2 + 60*n - 225 Let c(f) = 99*f**2. Let j(p) = -15*p - 14. Let n(t) = -6*t - 3. Let q(m) = -j(m) + 5*n(m). Calculate c(q(g)). 22275*g**2 + 2970*g + 99 Let k(a) = 26*a + 2. Let y(v) be the first derivative of -115 - 1/3*v**3 + 0*v + 0*v**2. Give k(y(w)). -26*w**2 + 2 Let k(a) = a**2. Let w(p) = 16 - 16 + 23*p**2 - 60*p**2 - 44*p**2. Calculate k(w(g)). 6561*g**4 Let h(r) = -22*r**2 + 3. Let q(b) = 4*b**2 + 62290*b - 62290*b. Give h(q(a)). -352*a**4 + 3 Let c(j) = -5*j**2. Let i(n) = -2*n + 483644. Give i(c(x)). 10*x**2 + 483644 Let b(u) = 16*u + 21*u - 50*u + 11*u. Let d(j) = 10 - 13 - 1 - 20*j**2 + 5. What is b(d(c))? 40*c**2 - 2 Let c(v) = 12*v - 15. Let i(d) = -35*d + 42. Let h(x) = 14*c(x) + 5*i(x). Let u(k) = 55*k. Calculate h(u(t)). -385*t Let t(n) = -176*n**2. Let d(m) be the first derivative of -20*m**2 + 5570. Give d(t(k)). 7040*k**2 Let x(b) = 54*b**2. Let q(f) = -1606765*f**2. Give x(q(a)). 139411463322150*a**4 Let k(z) = -41*z**2 - 6*z - 534. Let l(p) = -166*p. Determine k(l(v)). -1129796*v**2 + 996*v - 534 Let j(n) = -11*n. Let c(i) = i - 30943. Determine j(c(b)). -11*b + 340373 Let l(z) = 12*z. Let t(m) = 9*m + 20. Let f(q) be the second derivative of 5*q**3/6 + 6*q**2 + 80*q. Let s(d) = 5*f(d) - 3*t(d). Give s(l(h)). -24*h Let c(p) = -985*p**2 + 2. Let v(n) = -7*n**2 + 16*n - 8. Let b(h) = 64*h**2 - 152*h + 76. Let w(y) = -2*b(y) - 19*v(y). What is c(w(z))? -24625*z**4 + 2 Suppose 0 = 3*h + 11 + 4. Let p(w) = w - 1. Let a(o) = 6*o - 7. Let c(f) = h*a(f) + 35*p(f). Let n(l) be the first derivative of -3*l**2/2 + 9. What is n(c(z))? -15*z Let c(d) = 8*d + 102. Let o be c(-13). Let j(g) = 8*g - 4. Let h(u) = -u + 2. Let w(z) = o*h(z) - j(z). Let l(v) = -v + 13 - 13. Give l(w(i)). 6*i Let x(j) = -1307*j. Let l(u) = 24794*u. Give x(l(o)). -32405758*o Let f(s) = -5470205*s. Let x(b) = -2*b. Calculate x(f(v)). 10940410*v Let b be 6/(-14) - (-17)/7. Let g(x) = -2*x**2 - 2*x**2 + x**b - 6*x**2. Let u(y) = 13*y. Calculate u(g(d)). -117*d**2 Let x(m) = 623*m. Let f(l) = -18*l**2 - 15*l + 7. Calculate x(f(s)). -11214*s**2 - 9345*s + 4361 Let x(r) = 3*r**2 - 5*r**2 + 0*r**2. Let z(d) = -22*d**2. Let h(b) = 79*b - 248*b + 88*b - 154*b**2 + 81*b. Let n(m) = 3*h(m) - 22*z(m). Give n(x(j)). 88*j**4 Let q(l) be the second derivative of l**4/3 + 8318*l - 2. Let d(n) = 2538*n**2. Determine d(q(t)). 40608*t**4 Let x(j) = 116*j**2. Let v(h) be the second derivative of h**5/120 - 13*h**3/6 - h**2 + 14*h + 2. Let c(a) be the second derivative of v(a). Give c(x(w)). 116*w**2 Let i(a) = 2*a**2. Let t(s) = 173 + 176 + 191 - 540 + 3954*s**2. Give t(i(w)). 15816*w**4 Let u(x) be the third derivative of 0*x**3 + 47*x + 0 + 1/8*x**4 + 2*x**2. Let w(k) = 10*k**2 + 2*k. Give u(w(v)). 30*v**2 + 6*v Let n(j) = -20*j. Let m(f) = -f. Let q(g) = -4*m(g) - n(g). Let l(w) be the second derivative of 0 + 1/6*w**3 + 0*w**2 - 15*w. What is q(l(p))? 24*p Let q(u) = -4*u**2. Let s be (-1)/(8/252)*2 + 1. Let m = -60 - s. Let a(r) = -30*r**2 + 0*r + 0*r + 18*r**m. What is a(q(o))? -192*o**4 Let j(r) = -2*r + 12 + 10 - 21. Let p(d) = 35*d + 15. Let f(z) = -15*j(z) + p(z). Let o(l) = 2*l**2. Calculate o(f(x)). 8450*x**2 Let l(x) = -11*x. Let f(z) = 13*z - 42. Suppose -41*p = -36*p - 75. Let s be f(p). Let n(w) = -s*w + 293*w - 145*w. Calculate l(n(j)). 55*j Let g(h) = 0*h**2 + 16*h**2 + 10*h**2 + 4*h**2 - 35*h**2. Let o(v) = -26*v - 3. Determine g(o(p)). -3380*p**2 - 780*p - 45 Let p(i) be the third derivative of i**5/60 + 3411*i**2. Let f(g) = 109*g**2 + 2. Calculate f(p(j)). 109*j**4 + 2 Let t(g) = 55*g - 61*g + 21*g. Let d(z) be the first derivative of z**3 + 17. Determine t(d(r)). 45*r**2 Let n(p) = 2*p**2. Let l(h) be the third derivative of 10363*h**4/24 - 104*h**2 - 24*h. What is n(l(o))? 214783538*o**2 Let t(l) = -1677408*l. Let g(i) = -47*i. Give g(t(a)). 78838176*a Let o(q) = 2*q**2 + 262*q - 104. Let s(x) = 6*x. Give o(s(y)). 72*y**2 + 1572*y - 104 Let u(r) = 573*r. Let w(g) = 17154*g**2. Give u(w(b)). 9829242*b**2 Let w(d) = -2*d + 9956. Let i(p) = -115*p**2. What is w(i(n))? 230*n**2 + 9956 Let c(o) = 642*o**2. Let b(x) = -473109*x. Calculate c(b(m)). 143700224815602*m**2 Let c(d) = 384*d - 1 + 1 - 196*d - 190*d. Let f(u) = -2. Let x(m) = -14*m - 28. Let i(r) = 70*f(r) - 5*x(r). Determine i(c(p)). -140*p Let m(o) = -2*o. Let k = 10473 + -10382. Let n(f) = -988*f. Let a be (2 - -1 - 1)*-1. Let l(h) = -22*h. Let g(w) = a*n(w) + k*l(w). Give m(g(r)). 52*r Let i(k) = 50*k - 9. Let t(j) = -266*j + 48. Let h(v) = -16*i(v) - 3*t(v). Let x(y) = -686*y. Calculate h(x(u)). 1372*u Let i(p) = p**2. Let k(z) = -8*z + 85*z + 273*z - 33*z + 53*z. Determine i(k(a)). 136900*a**2 Let j(r) = 8*r - 10. Let v(y) = 26*y - 32. Let l(p) = 16*j(p) - 5*v(p). Let h(n) = -17*n**2 + 12. Determine h(l(c)). -68*c**2 + 12 Let q(j) = -308*j**2. Let v(x) = 11*x - 17. Let b(m) = 2*m - 3. Let z be -1 + (-5)/((-5)/7). Let h(s) = z*v(s) - 34*b(s). Calculate h(q(d)). 616*d**2 Let v(f) = 2*f**2. Let y be (4 + -5)*3 - -8. Suppose 0 = -4*h + 2*h + 5*d + 26, 3*h - y = -d. Let l(j) = h*j - 57*j + 11*j. Determine l(v(k)). -86*k**2 Let a(z) = 11*z - 6. Let x(f) = 415*f - 225. Let h(w) = -75*a(w) + 2*x(w). Let p(g) = 643*g**2. Calculate h(p(b)). 3215*b**2 Let c be -2*((-3 - -8) + -7). Let p be c - (-45)/(-10) - 1/(-2). Let f(m) = m + p*m + m. Let a(h) = 7*h. Determine f(a(v)). 14*v Let m(y) = 8*y**2. Suppose 220*z - 9*z = 5064. Let v(f) be the third derivative of 0*f**3 + 5/24*f**4 + 0*f - z*f**2 + 0. Give v(m(u)). 40*u**2 Let j(o) = o. Let l(v) = 33*v. Let a(c) = 18*j(c) - l(c). Let q(u) = 19341*u - 9663*u - 9679*u. Give q(a(f)). 15*f Let d(f) = 377*f. Let q(m) = 9692*m**2. Give d(q(c)). 3653884*c**2 Let c(i) = 0*i**2 + 11*i**2 - 5*i**2 - 15*i**2 + 28*i**2. Let v(h) = 3*h**2 + 18*h - 18. Let m(p) = -p + 1. Let x(r) = -18*m(r) - v(r). Give x(c(u)). -1083*u**4 Let f = -135 - -137. Let w(r) = -f*r + 10227 - 10227. Let c(b) = 32*b + 1. What is c(w(n))? -64*n + 1 Let v(b) = 10*b. Let x(p) be the second derivative of -p**5/15 - 5*p**3/6 - 9*p**2/2 - 14*p - 1. Let n(s) be the second derivative of x(s). What is v(n(h))? -80*h Suppose -4*u = 12 - 36. Let o(t) = 16*t**2 - 4*t**2 - u*t**2 - 10*t**2. Let d(h) = -5*h**2. Give o(d(i)). -100*i**4 Let g(w) = -49*w - 50*w - 50*w - 33*w + 44 + 184*w. Let y(z) = -48*z. Give y(g(p)). -96*p - 2112 Let o(a) = 4*a. Let l(n) = 1189*n**2 + 215*n - 19. Determine o(l(d)). 4756*d**2 + 860*d - 76 Let u(z) = z. Suppose -g - 13 = -18. Let d(r) = 2*r**2 - 9*r + 16. Let w be d(g). Let v(b) = w*b - 2 - 8 + 7 + 7. What is v(u(i))? 21*i + 4 Le
{ "pile_set_name": "DM Mathematics" }
(b(f))? -26*f Suppose -2*v = 6 - 0. Let t be 1*0*v/9. Let r(s) = -s + t*s + s + 2*s. Let x(a) = -2*a. What is r(x(d))? -4*d Let u(a) = 2*a**2. Let d(x) = -38*x**2. Calculate u(d(i)). 2888*i**4 Let b(z) = 5. Let t(c) = -c - 5. Let i(v) = -5*b(v) - 6*t(v). Let m(y) = -5*y - 4. Let j(r) = 4*i(r) + 5*m(r). Let h(u) = -3*u. Give h(j(l)). 3*l Let p(r) = -16*r**2 + 13*r. Let s(d) = 2*d**2. Determine s(p(u)). 512*u**4 - 832*u**3 + 338*u**2 Let b(r) = -r. Let p(u) = -12*u - 14. Let d be 4 - (5 + -2 + -4). Let z(o) = 4*o + 5. Let n(k) = d*p(k) + 14*z(k). Calculate n(b(s)). 4*s Let m(f) = 4*f. Let i(l) be the first derivative of l**5/60 + l**2 - 4. Let h(b) be the second derivative of i(b). Calculate h(m(x)). 16*x**2 Let o(n) = -n**2 + 106*n. Let h(t) = -4*t. Calculate o(h(u)). -16*u**2 - 424*u Let k(z) be the first derivative of 0*z - 1 + 0*z**2 - 1/3*z**3. Let f(n) = -n**2. Give k(f(m)). -m**4 Let d(z) = 0*z + 4*z - 3*z - 3*z. Let o(b) = 2*b**2. Determine d(o(m)). -4*m**2 Let p(g) = -g**2. Let u(q) = q**3 + 5*q**2 + 2*q - 4. Let y be u(-4). Suppose -4*j = y*c - 12, -c + 4*j = 2*j. Let o(x) = x**c - 12 + 12. What is o(p(b))? b**4 Let v(g) be the third derivative of 7*g**4/24 + 2*g**2. Let y(b) = -8*b. Let i(x) = -6*v(x) - 5*y(x). Let j(o) = 6*o**2. Give i(j(m)). -12*m**2 Let z(o) = -7*o**2 - 7. Let i(j) = 1. Let p(v) = -7*i(v) - z(v). Let d(t) = 2*t**2. Calculate d(p(u)). 98*u**4 Let s(o) = 2*o + 4. Let t = -4 - -6. Let d(y) = 1 + y + 0*y + t. Let i(f) = -4*d(f) + 3*s(f). Let h(l) = 2*l. Give h(i(j)). 4*j Let l(q) = -2*q**2. Let k(d) = 18*d**2 + 3. Calculate l(k(f)). -648*f**4 - 216*f**2 - 18 Let u(g) = -11*g. Let y(z) = 109*z**2. Give u(y(q)). -1199*q**2 Let b(c) = 14*c. Let g(j) be the first derivative of -j**2/2 - 9. Determine b(g(n)). -14*n Let j(r) = -9*r**2. Let g(s) = 798*s**2. Determine j(g(c)). -5731236*c**4 Let a(q) = -q**2. Let n(g) = -254*g**2. Determine n(a(r)). -254*r**4 Let j(i) = -4*i**2 - 9. Let q(n) = -5*n. What is j(q(u))? -100*u**2 - 9 Let l(q) = q**2 - 1. Let d(f) = 19*f**2 + 19. Let r(c) = d(c) + 19*l(c). Let x(i) = 2*i**2. What is r(x(s))? 152*s**4 Let s(w) = -297*w. Let b(t) = -10*t**2. Calculate s(b(y)). 2970*y**2 Let j(u) = -4*u. Let p(d) = 2854*d. Give j(p(y)). -11416*y Let r(a) = -119*a**2 + 17*a + 17. Let n(q) = -34*q**2 + 5*q + 5. Let p(f) = -17*n(f) + 5*r(f). Let i(b) = -2*b. What is p(i(c))? -68*c**2 Let c(x) = 3*x**2. Let m(q) = -q - 5. Let w(n) = n + 7. Let p(l) = 7*m(l) + 5*w(l). Determine c(p(d)). 12*d**2 Let q(i) = -84*i**2 + 3*i + 13. Let s(w) = -2*w. Calculate s(q(t)). 168*t**2 - 6*t - 26 Let g(f) = 186*f. Let a(k) = -3*k. Give a(g(y)). -558*y Let m(k) = 3*k. Let l be 3/(-2)*14/(-7). Let v(u) = -l + 3 + 8*u - 7*u. Determine m(v(t)). 3*t Let u(k) be the second derivative of 0*k**3 + 1/12*k**4 + 0 + 0*k**2 - 2*k. Let v(q) = -q + 0*q + 2*q. Calculate u(v(i)). i**2 Let q(m) = 2*m**2. Let w(v) = -114*v. Give w(q(s)). -228*s**2 Let m = -13 - -13. Let l(j) = m*j - 2*j + j. Let p(g) = g. Determine p(l(d)). -d Let i(t) = 3*t. Let v(p) = -325*p**2 + 3*p + 3. Determine i(v(c)). -975*c**2 + 9*c + 9 Let s(y) = 44*y**2. Let v(o) = -32*o + 1. Determine v(s(m)). -1408*m**2 + 1 Let l(y) = 331*y + 4. Let i(d) = d. Determine i(l(n)). 331*n + 4 Let b(z) = z. Let p(h) = 1251*h. Determine b(p(x)). 1251*x Let k(h) = -h. Let y(o) = 4*o**2. Let b(u) = u**2. Let q(f) = -26*b(f) + 6*y(f). Give q(k(s)). -2*s**2 Let a(f) = 18*f - 2*f**2 + 19*f - 37*f. Let g(b) = 10*b. What is g(a(k))? -20*k**2 Let p(a) = -7*a. Let m(b) = -7*b + 6. Let o(s) = -s + 1. Let t(q) = -m(q) + 6*o(q). Determine p(t(v)). -7*v Let k(z) = -6*z**2 - 22. Let a(b) = -36*b**2. Calculate k(a(q)). -7776*q**4 - 22 Let d(q) = -10*q**2. Let k(r) = -758*r. What is d(k(m))? -5745640*m**2 Let h(s) be the second derivative of -s**4/4 + s. Let i be 6/27 - (-100)/36. Let n(k) = 5*k**2 - i*k**2 + k**2 - k**2. Give h(n(x)). -12*x**4 Let f(g) = -2*g**2. Suppose m + 8 = 5*l + 2*m, -m + 3 = 0. Suppose 7 - l = 3*s. Let z(k) = s*k + k - k. Calculate z(f(u)). -4*u**2 Let r(j) = j. Let v be 6/27 + (-51)/270. Let f(o) be the third derivative of v*o**5 + 0*o**4 + 0 - o**2 + 0*o + 0*o**3. What is f(r(n))? 2*n**2 Let i(t) = 2*t**2. Let p(j) = -94*j. Determine p(i(c)). -188*c**2 Let n(p) be the third derivative of p**5/30 + 7*p**2. Let k be -2 + (3 - (1 + 0)). Let l(m) = 2*m + k*m + 0*m. Give l(n(x)). 4*x**2 Let v = -16 + 18. Let o(y) = v - 3 + 1 + y. Let n(q) = 3*q. Determine n(o(j)). 3*j Let t(d) = 2*d. Let s(q) = 2*q + 5. What is s(t(k))? 4*k + 5 Let k(d) be the first derivative of -2*d**2 + 2. Let o(y) = -y**2 - y - 1. Let s(i) = 6*i**2 + 5*i + 5. Let l(p) = -10*o(p) - 2*s(p). Calculate k(l(x)). 8*x**2 Let i(b) = b - 5. Let a(l) = -2*l**2. Give a(i(q)). -2*q**2 + 20*q - 50 Let j(c) = -7*c. Let a(v) = -14*v**2. Give a(j(i)). -686*i**2 Let w(p) = -5251*p. Let a(s) = s**2. Give w(a(g)). -5251*g**2 Let a(h) = -4056*h**2. Let o(u) = -u**2. Calculate a(o(g)). -4056*g**4 Let z(b) be the third derivative of -b**4/12 - 7*b**2. Let c(j) = 14*j**2. Give z(c(y)). -28*y**2 Let f(n) be the third derivative of 19*n**4/24 + 9*n**2. Let z(b) = -2*b. What is z(f(t))? -38*t Let g(f) = -2*f**2 + 137. Let l(n) = 32*n. Give l(g(u)). -64*u**2 + 4384 Let m(q) be the first derivative of 3/2*q**2 + 0*q - 1. Let n(r) = 2*r. What is n(m(d))? 6*d Let d(w) = w + 9. Let h be d(-4). Let a(n) = 4*n**2 + 5*n**2 - h*n**2. Let y(c) be the first derivative of -c**2/2 + 2. Give a(y(l)). 4*l**2 Let n(a) = 23*a**2. Let u(m) = -32*m**2. What is n(u(v))? 23552*v**4 Let w(n) = -23*n. Let u(o) = 117*o**2. Determine u(w(y)). 61893*y**2 Let k(l) be the third derivative of -l**8/20160 + l**5/60 + 8*l**2. Let c(s) be the third derivative of k(s). Let n(p) = 8*p. Give c(n(x)). -64*x**2 Let t(g) = g**2 + 0*g**2 + 3*g**2 - 8*g**2. Let m(y) = 10*y - 12. Let f(z) = z - 1. Let i(w) = -12*f(w) + m(w). What is t(i(s))? -16*s**2 Let v = 7 - 8. Let d be (-20)/(-4) - (4 + v). Let a(o) = 4*o**d + 4 - 6*o**2 - 4. Let i(g) = 3*g**2. Give a(i(j)). -18*j**4 Let a(b) = -b**2. Let o(k) be the second derivative of 13*k**3/2 - 15*k. What is o(a(r))? -39*r**2 Let l(i) = -241*i. Let r(f) = 2*f. What is l(r(s))? -482*s Let f be (4/(-3))/(4/(-78)). Let k(w) = 4*w. Let p(h) = 17*h. Let o(q) = f*k(q) - 6*p(q). Let a(s) = 3*s**2. Calculate o(a(c)). 6*c**2 Let a(v) = -7*v + 95. Let m(s) = -3*s. Calculate a(m(t)). 21*t + 95 Let f(q) be the second derivative of -q**4/6 + q. Let j(w) = 18*w**2 - 35*w**2 + 16*w**2. Give j(f(v)). -4*v**4 Let t(s) = 13 + 3*s**2 - 4*s**2 - 13. Let l(k) = -3*k. Determine t(l(b)). -9*b**2 Let n(a) = -a**2. Let d(q) = -2*q - 2. Give d(n(s)). 2*s**2 - 2 Let x(d) = -d**3 + 7*d**2 - 5*d - 4. Let y be x(6). Suppose -y*k - 3*m - 3 = 8, 3*k - 4*m = 26. Let g(z) = -k*z + 4*z + 0*z. Let b(s) = -5*s. What is g(b(p))? -10*p Let a(c) = -5*c. Let f(j) = -27*j**2. Determine f(a(u)). -675*u**2 Let b(v) = -2*v**2. Let k(w) = -1122*w**2. Determine b(k(q)). -2517768*q**4 Let b(h) = -3*h. Let v(w) = -4*w - 8. Give v(b(s)). 12*s - 8 Let b(v) = -36*v. Let t(i) = 10*i**2 - 9*i**2 - 2*i + 2*i. Determine t(b(g)). 1296*g**2 Let t(r) = -r. Let l(n) = 70*n + 32. What is t(l(g))? -70*g - 32 Let t(v) = -6*v**2. Let y(g) = 11*g**2. Calculate y(t(m)). 396*m**4 Let z(m) = -43*m**2 + 21*m**2 + 20*m**2. Let t(o) = -23*o. Determine z(t(c)). -1058*c**2 Let b(k) = -7*k - 5. Let n(s) = 4*s + 3. Let a(r) = -3*b(r) - 5*n(r). Let y(v) be the first derivative of 2*v**3/3 - 2. Calculate y(a(u)). 2*u**2 Let o(z) be the second derivative of -z + 3*z - 4*z - z**3. Let l(q) = 2*q**2. Calculate l(o(i)). 72*i**2 Let x(o) = -301*o**2. Let u(c) = -c. Calculate x(u(t)). -301*t**2 Let v(o) = 52*o + 3. Let d(a) = -4*a. What is v(d(y))? -208*y + 3 Let m(c) = -c**3 + 5*c**2 - 3*c - 3. Let j be m(4). Let p(t) = 3*t**2 + 1 - j. Let l(r) be the second derivative of -r**4/6 + r. Give l(p(a)). -18*a**4 Let j be -1 + (-1)/((-2)/4). Let d(y) = y - j + 1. Let q(w) = -14*w. What is q(d(b))? -14*b Let k(j) = 5*j. Let p(x) = x + 9. Let t be p(-9). Let h(u) = t - 2*u**2 + 1 - 1. Give h(k(r)). -50*r**2 Let h be (2/2)/((-3)/6). Let g = 3 - h. Let a(q) = 5 - 3*q - q - g. Let o(b) = -b. What is a(o(r))? 4*r Let b(c) = -3*c**2 - 27. Let s(x) = 16*x. Determine b(s(j)). -768*j**2 - 27 Let l(j) = -4*j. Let x(f) = -1
{ "pile_set_name": "DM Mathematics" }
-11/17, 11, 2/13. -4, -11/17, 2/13, 3/2, 3, 11 Put -13, 0, 3, -14, -2, 4 in descending order. 4, 3, 0, -2, -13, -14 Put -61, 1, 40, -5, -2 in decreasing order. 40, 1, -2, -5, -61 Put 1/6, -338, -6, 0.2 in descending order. 0.2, 1/6, -6, -338 Sort -3, 47, 26, 3 in decreasing order. 47, 26, 3, -3 Put -30, 270, 3, -5 in descending order. 270, 3, -5, -30 Put 5, -1141, 21 in increasing order. -1141, 5, 21 Put -492, -2/5, 3, -5, 0.5, -1/4 in ascending order. -492, -5, -2/5, -1/4, 0.5, 3 Sort 0.2, 18/19, -0.9, -1.4. -1.4, -0.9, 0.2, 18/19 Put -5, -9, -6/5, -4, 358, 2/11 in descending order. 358, 2/11, -6/5, -4, -5, -9 Sort 53, 0.4, 319 in increasing order. 0.4, 53, 319 Put -3, -1, -880, -4 in increasing order. -880, -4, -3, -1 Put 1/2, 2/11, 1/32, 17/8 in descending order. 17/8, 1/2, 2/11, 1/32 Sort -3/4, -2.5, 0.7, -0.124, 2/3 in increasing order. -2.5, -3/4, -0.124, 2/3, 0.7 Put -4, 0.01, 1/10, -1/3 in decreasing order. 1/10, 0.01, -1/3, -4 Sort 0.62, -29, 46, -2, 3/5, -0.01 in descending order. 46, 0.62, 3/5, -0.01, -2, -29 Put 6, 1/4, 97.8 in decreasing order. 97.8, 6, 1/4 Sort -3, 7, 0, -128. -128, -3, 0, 7 Sort 12159, 0, -3, 4, -4, 1. -4, -3, 0, 1, 4, 12159 Put 27, -0.01, 2, 3/2, 0.4 in decreasing order. 27, 2, 3/2, 0.4, -0.01 Put -29, -4, -1762 in ascending order. -1762, -29, -4 Put 3, 4, 2, 8565, 5, -4 in increasing order. -4, 2, 3, 4, 5, 8565 Sort -1, 1/5, -480/49. -480/49, -1, 1/5 Sort -4337, 3, 1 in ascending order. -4337, 1, 3 Sort -3, 510, -4, -1 in decreasing order. 510, -1, -3, -4 Sort 369, 66, -3, 4, 0, -4 in descending order. 369, 66, 4, 0, -3, -4 Sort 642, 0.8, 688 in decreasing order. 688, 642, 0.8 Sort 7, -608, 5 in decreasing order. 7, 5, -608 Sort -111, -1, -25, -4 in decreasing order. -1, -4, -25, -111 Put 459, -4, -24 in descending order. 459, -4, -24 Put 1/13926, 1, 13 in descending order. 13, 1, 1/13926 Put 5, -4, -210, 0, -23 in ascending order. -210, -23, -4, 0, 5 Sort -0.5, -1/1980, -25 in decreasing order. -1/1980, -0.5, -25 Sort 4, 5, -12, -44 in decreasing order. 5, 4, -12, -44 Put 0.3, -1, 5, 66652/15 in decreasing order. 66652/15, 5, 0.3, -1 Put -1, -3, 15, 58, 33 in descending order. 58, 33, 15, -1, -3 Put -450, -673, -5 in decreasing order. -5, -450, -673 Sort -0.4, 0.11, 0.5, 145, 4, 0.4. -0.4, 0.11, 0.4, 0.5, 4, 145 Sort -4, 184963, 1 in descending order. 184963, 1, -4 Sort 0.5, -0.5, 376/3 in ascending order. -0.5, 0.5, 376/3 Put -0.1, 0.3, -5, 1.87, -1/3 in ascending order. -5, -1/3, -0.1, 0.3, 1.87 Sort 1, -4, 595492 in ascending order. -4, 1, 595492 Put -1/13, -4.81, 0.3 in decreasing order. 0.3, -1/13, -4.81 Put 31.5, 5, 49 in ascending order. 5, 31.5, 49 Put -127, -22, -4, 0 in increasing order. -127, -22, -4, 0 Sort -2, -1/2, -29768/5 in decreasing order. -1/2, -2, -29768/5 Put -3/13, -0.6113, -0.02, -1/2 in ascending order. -0.6113, -1/2, -3/13, -0.02 Sort -18, 3, -16, 40 in decreasing order. 40, 3, -16, -18 Put -1, -3, 13, 21, -0.2 in descending order. 21, 13, -0.2, -1, -3 Sort -3, -16, 2, 107, -4, -2 in increasing order. -16, -4, -3, -2, 2, 107 Sort 3, -1, -1/7, 22, -3.6. -3.6, -1, -1/7, 3, 22 Put -2, 2/5, -77/17, -0.05 in descending order. 2/5, -0.05, -2, -77/17 Sort 5, 8, -1/6, -9/2, 6, 0.5 in decreasing order. 8, 6, 5, 0.5, -1/6, -9/2 Sort -0.0513, -5, -0.0374 in decreasing order. -0.0374, -0.0513, -5 Put 2/21, -0.19, 4, -10, -32 in decreasing order. 4, 2/21, -0.19, -10, -32 Sort 13, 46, -64, 5 in increasing order. -64, 5, 13, 46 Put -1, -10, -137, -16 in descending order. -1, -10, -16, -137 Sort -8, 0, 3, -1113, 9 in decreasing order. 9, 3, 0, -8, -1113 Put -7/3, 5, 0.244, 0.4, -5, -1 in descending order. 5, 0.4, 0.244, -1, -7/3, -5 Sort -0.04, -1/3, 1/110, 3 in decreasing order. 3, 1/110, -0.04, -1/3 Sort 4, -4/3, 129.15, 0.1 in increasing order. -4/3, 0.1, 4, 129.15 Sort -0.5, -29.2, -15, 1/5, 2, -3 in increasing order. -29.2, -15, -3, -0.5, 1/5, 2 Sort 2, -8, 363, -123 in descending order. 363, 2, -8, -123 Sort -2.1, -14, -7. -14, -7, -2.1 Sort 5, 2, -248, -40 in decreasing order. 5, 2, -40, -248 Put -14, 0.2, -0.1, 1 in increasing order. -14, -0.1, 0.2, 1 Put -3, -2, 1, -25, 104 in decreasing order. 104, 1, -2, -3, -25 Put -1, 9/4, 1/2, -0.05, -2/25, 29 in descending order. 29, 9/4, 1/2, -0.05, -2/25, -1 Sort -127, 6, -3, 2 in decreasing order. 6, 2, -3, -127 Sort 1282, 59, -0.5 in descending order. 1282, 59, -0.5 Sort 0.046, -5, 4/11 in descending order. 4/11, 0.046, -5 Put 1164, -11, -0.3 in increasing order. -11, -0.3, 1164 Sort -38, 10, 1, 602. -38, 1, 10, 602 Sort -2, -112447, 0 in descending order. 0, -2, -112447 Put -128, 1/5, 55, -2/21 in ascending order. -128, -2/21, 1/5, 55 Put 1, 32, -2190, -4 in ascending order. -2190, -4, 1, 32 Sort -2/21, 3.7, 172 in increasing order. -2/21, 3.7, 172 Sort -2/33029, 5, -13 in increasing order. -13, -2/33029, 5 Put -2, 11, -547, 4, 5 in increasing order. -547, -2, 4, 5, 11 Sort -38, 4, 10, 2, 3 in increasing order. -38, 2, 3, 4, 10 Sort 5, -5, -4, -1/5, 1406 in ascending order. -5, -4, -1/5, 5, 1406 Sort 3, -0.7, 0, -2.06, -1/3. -2.06, -0.7, -1/3, 0, 3 Sort -1/1079, -2, -1 in descending order. -1/1079, -1, -2 Sort 1, 43, -4, 4 in ascending order. -4, 1, 4, 43 Sort -3, -1, 0.4, 2/339, 1/6 in ascending order. -3, -1, 2/339, 1/6, 0.4 Sort -0.3, -0.158, -2, 0.097. -2, -0.3, -0.158, 0.097 Sort 1, 14, 176 in decreasing order. 176, 14, 1 Sort 3, 4, -5, -4, 15, -117 in ascending order. -117, -5, -4, 3, 4, 15 Sort -33285, -4, 3 in increasing order. -33285, -4, 3 Sort -5, 7, 57, -4, -1 in descending order. 57, 7, -1, -4, -5 Sort -4, 187, -15, -2, 6 in decreasing order. 187, 6, -2, -4, -15 Put 0.2, -1, -4, 2/9, -2/3 in increasing order. -4, -1, -2/3, 0.2, 2/9 Put 8385, -2, -18, 5 in descending order. 8385, 5, -2, -18 Put 164087, 4, 0, 6, -5 in increasing order. -5, 0, 4, 6, 164087 Put -2, -15, 21, -57, -1 in decreasing order. 21, -1, -2, -15, -57 Put -5, 2, 9, 4, -34 in decreasing order. 9, 4, 2, -5, -34 Sort -1, 271, 3, -22 in ascending order. -22, -1, 3, 271 Sort -5, 20, 0, -29/178 in decreasing order. 20, 0, -29/178, -5 Put -620, 102, 1 in decreasing order. 102, 1, -620 Sort -1, 4162, -72, 0, 2 in decreasing order. 4162, 2, 0, -1, -72 Sort 0.42, -0.1, -308. -308, -0.1, 0.42 Sort -156, 3, -4220. -4220, -156, 3 Sort -4, 0, 4, 3, 27, 188 in ascending order. -4, 0, 3, 4, 27, 188 Sort 705, -5, 0.4, -0.1, 2/13, 0.2. -5, -0.1, 2/13, 0.2, 0.4, 705 Put 4, 6.13, -3/14, 6 in increasing order. -3/14, 4, 6, 6.13 Put 1623, -48, 4 in descending order. 1623, 4, -48 Put 2/81469, 0.2, -50, 4 in ascending order. -50, 2/81469, 0.2, 4 Sort -52/3, -25, -3/10, 0.04, -2 in descending order. 0.04, -3/10, -2, -52/3, -25 Sort 157563, 14, -1. -1, 14, 157563 Sort -0.5, -0.3, 140, -4. -4, -0.5, -0.3, 140 Sort 4, 0, -67, 635, -1 in decreasing order. 635, 4, 0, -1, -67 Sort 3, -1084, -1, 2 in descending order. 3, 2, -1, -1084 Sort 1, -6, -11, -0.2, -2.9. -11, -6, -2.9, -0.2, 1 Sort 8, -22, 0, 10 in increasing order. -22, 0, 8, 10 Put 11, -2, 2, -0.4, 0.07, 0.5 in decreasing order. 11, 2, 0.5, 0.07, -0.4, -2 Put -5, -6, 0.13 in descending order. 0.13, -5, -6 Sort 3, -867, -5, -4, -20 in increasing order. -867, -20, -5, -4, 3 Sort -5, -4, -9, -3/4, 202, 4 in descending order. 202, 4, -3/4, -4, -5, -9 Sort 2/7, -1/2, -61, 2/5, -2, 9 in decreasing order. 9, 2/5, 2/7, -1/2, -2, -61 Sort -76, 20, 0, -33 in descending order. 20, 0, -33, -76 Sort 2/5, 5585, -3, -5/2, 4. -3, -5/2, 2/5, 4, 5585 Put -4, 0, 32, -133 in ascending order. -133, -4, 0, 32 Put -0.2, 0.3, -134, 0.8, -2/5 in increasing order. -134, -2/5, -0.2, 0.3, 0.8 Sort 1/37, 121, 11, 0 in ascending order. 0, 1/37, 11, 121 Put 1/3, 0.3, -7, -0.1, -0.462 in decreasing order. 1/3, 0.3, -0.1, -0.462, -7 Put 3, -7, 0.11, -0.1, 5, 254 in ascending order. -7, -0.1, 0.11, 3, 5, 254 Sort 5, -2730, -3, 1 in ascending order. -2730, -3, 1, 5 Sort 0, 1, 5992, 5, -3 in ascending order. -3, 0, 1, 5, 5992 Sort 0.3, 3/4, -4/3, 0.5, -13/2325 in decreasing order. 3/4, 0.5, 0.3, -13/2325, -4/3 Put -2.3, -139, 1 in increasing order. -139, -2.3, 1 Sort 5, 16, -1, 4, 2 in decreasing order. 16, 5, 4, 2, -1 Put 4, 1, 2, -2, 22 in decreasing order. 22, 4, 2, 1, -2 Sort -0.1, 2, 4, -3163, 0 in ascending order. -3163, -0.1, 0, 2, 4 Put -3/2, -2, 224, 118 in
{ "pile_set_name": "DM Mathematics" }
= -13 + 13.000006. Round d to six dps. 0.000006 Let g = -2.527 + -1.089. Let b = g - -3.7. Let c = b - 0.035. Round c to 2 decimal places. 0.05 Let s = 232.51897385 - 215.518973. Let v = s - 17. What is v rounded to seven decimal places? 0.0000009 Let c(o) = o**3 - 5*o**2 + 5*o - 3. Let s = 10 - 7. Let n be c(s). Round n to the nearest 10. -10 Suppose g + 3*y - 118 = 0, 8 + 17 = 5*y. What is g rounded to the nearest ten? 100 Let n(a) = 3*a**2 - 59*a**3 - 2*a**2 - 17*a**3 + 5 - 5*a. Let l be n(5). Let c = l + 5395. What is c rounded to the nearest one thousand? -4000 Let u = -7.5 - -7.499879. What is u rounded to five decimal places? -0.00012 Let l(u) = 6801*u - 1. Let g = 0 - 3. Let d be (2/2)/(g - -4). Let x be l(d). Round x to the nearest 1000. 7000 Let f = 1 + -2. Let l be 6/(-4)*(f + -3). Let d be (4000/3)/((-1)/l). Round d to the nearest one thousand. -8000 Let n = 0.1421718 + 1.8577852. Let h = n + -2. Round h to five decimal places. -0.00004 Suppose 0*w + 11070 = -4*h + 5*w, 5*h + w = -13852. What is h rounded to the nearest one hundred? -2800 Suppose 0 = 4*z - 21857 - 8983. What is z rounded to the nearest 100? 7700 Suppose -g = -2*g. Suppose f + 4*f - 2*n + 11500006 = g, 9 = 3*n. What is f rounded to the nearest 1000000? -2000000 Let a = -168419822 + 108119822. Round a to the nearest one million. -60000000 Let j = 3 + -5. Let v be -111002 + j + 2 - -2. Round v to the nearest ten thousand. -110000 Suppose -5*n + 4 + 6 = 0. Let b be (-599986)/6 + n/3. Let f be (3 + 0 - b)*-4. Round f to the nearest 100000. -400000 Let k = -13 - -18. Suppose 2*n - k*z - 28144 - 33876 = 0, -2*n = 4*z - 61984. Round n to the nearest ten thousand. 30000 Let o = 518 - 368. Let n = -2010 + o. Round n to the nearest one hundred. -1900 Suppose -4*q + q = -9. Suppose q*l = l - 1420. Round l to the nearest one hundred. -700 Let h = 0.029 + -0.0335. Round h to 3 dps. -0.005 Let b = 37.3 - 30.14. Let w = -8.8 + b. What is w rounded to one dp? -1.6 Let x = -2908 + 2926.91. Let w = -0.09 - x. Let z = w - -19.0000045. What is z rounded to 6 dps? 0.000005 Let u = -14.987 + 15. What is u rounded to two dps? 0.01 Let g(r) = -r**3 + 8*r**2 + 12*r + 10. Let d be g(-11). Suppose -d - 223 = j. Round j to the nearest 1000. -2000 Let i(m) = -370369*m**3 - 5*m**2 + 4*m - 4. Let b be i(3). What is b rounded to the nearest 1000000? -10000000 Let t(r) = -3667*r - 2. Let s(x) = -x**3 - 3*x**2 - 4*x - 2. Let u be s(-3). Let z = u + -16. Let n be t(z). What is n rounded to the nearest ten thousand? 20000 Let s = 186 + -550. Let i be 4/(-14) - (-2292)/(-14). Let p = i - s. Round p to the nearest 1000. 0 Let h = -0.29999962 - -0.3. What is h rounded to seven dps? 0.0000004 Let f = 28.982 + 0.018. Let z = f + -31.7. What is z rounded to 0 decimal places? -3 Suppose 5 = -2*u + 7. Let k be (u - 4) + -304 - -4. What is k rounded to the nearest ten? -300 Let y = -2195.2744 + 0.2744. Let t = -2194.80004 - y. Let u = -0.2 + t. What is u rounded to 5 dps? -0.00004 Let r(h) be the third derivative of -1/30*h**5 + 0*h**3 + 2*h**2 + 0*h - 1/4*h**4 + 0. Let x be r(-5). Round x to the nearest 10. -20 Suppose 10*m + 180000 = 7*m. Round m to the nearest 100000. -100000 Let g(a) = -2*a - 9. Let c be g(-6). Let k(j) = -2*j**2 + 0*j + 2*j + 988*j**3 - 2 + 494*j**c. Let q be k(3). Round q to the nearest 100000. 0 Let d = -0.415 - -0.3943. What is d rounded to two decimal places? -0.02 Let v = 163.0548 + -163. Let a = -0.06 + v. What is a rounded to three dps? -0.005 Let y = 2.5 - 3. Let d = y + 0.2. Let c = -0.300053 - d. What is c rounded to 5 decimal places? -0.00005 Let u(a) = -a + 16. Let q be u(8). Round q to the nearest 10. 10 Let a(k) = 3*k + 5. Let r be a(5). Round r to the nearest 10. 20 Let v(k) = 95*k + 13 - 101*k + 423*k**2 + 3. Let d be v(-12). What is d rounded to the nearest 10000? 60000 Let p = 51 - 139. Let q = p - -221. Let f = q - 133.0122. Round f to 3 decimal places. -0.012 Let a = -7 - -7.08. Let y = a - 0.0799904. What is y rounded to 6 dps? 0.00001 Let q(b) = 49999*b - 2. Let w be q(-2). What is w rounded to the nearest 10000? -100000 Let s = 11.9 - 7. What is s rounded to the nearest integer? 5 Suppose -2*f + 5589 - 889 = 0. Suppose -10 = -3*q + 5. Suppose 0*l - q*l = f. Round l to the nearest 100. -500 Let v(u) = 6999997*u**2 - 3*u + 2. Let y be v(2). Suppose 0 = -5*r - 2*f - 27999992, r + 4*r + 4*f + y = 0. What is r rounded to the nearest one million? -6000000 Let m = -8.764 - 0.036. What is m rounded to 0 dps? -9 Let s = 0.8 + -0.8000106. Round s to 6 dps. -0.000011 Suppose 4*d - 3*d - 16600015 = 0. Suppose 2*k = -5*h + d, -2*k - 4*h = -0*k - 16600012. Round k to the nearest 1000000. 8000000 Suppose -g - 128611 = 16389. Round g to the nearest ten thousand. -150000 Let t = -42.66 - -43. Round t to one decimal place. 0.3 Let k = -211.4017288 + 211.4. Let c = k + 0.601734. Let x = -0.6 + c. What is x rounded to six decimal places? 0.000005 Suppose -5*j - 7424390 = -35055305. Suppose 4*n - 26473817 - j = 0. What is n rounded to the nearest one million? 8000000 Let a = 5.91 - 1.01. Let l = 2.8 - a. Let z = 2.0999931 + l. What is z rounded to 6 decimal places? -0.000007 Let k(c) = c - 2. Let g be k(4). Let l(r) = -3 + 0 + 0*r - 3*r - g*r**2. Let x be l(5). Round x to the nearest ten. -70 Let g(y) = 307*y**3 + 2*y**2 - 5. Let s be g(5). Suppose w + 55260 = -2*w. Let z = s + w. What is z rounded to the nearest one hundred thousand? 0 Let g = -19.966 - 0.034. Let v = g + 19.17. What is v rounded to one decimal place? -0.8 Let o = -5.359 + 0.059. Let p = o - -0.8. Let j = p + 2.2. What is j rounded to 0 decimal places? -2 Let s = -0.0255559234 - 40.9744482766. Let g = s + 41. What is g rounded to six decimal places? -0.000004 Let h = -26 - -16. Let x be 63005/h + 2/4. Round x to the nearest 1000. -6000 Let x be ((-6)/4)/((-6)/28). Round x to the nearest integer. 7 Let v = -72.00000094 - -72. Round v to 7 decimal places. -0.0000009 Let b = -46.941 - 0.059. Let m = -48.24 - b. Round m to 1 dp. -1.2 Let c(y) = y**3 + 16*y**2 + 10*y - 5. Let f be c(-11). Suppose 0 = 2*k + 2690 - f. What is k rounded to the nearest 1000? -1000 Suppose -3*r = -r - 5*q + 14470703, -4*r = q + 28941395. Let v = 1251080 - -684269. Let s = r + v. Round s to the nearest one million. -5000000 Let c = -391.99049 + 391.56048981. Let v = c + 0.43. Round v to seven dps. -0.0000002 Let n = -201307.84059 + 201307. Let j = -0.84 - n. What is j rounded to four decimal places? 0.0006 Let n = 277.9681 - 0.9281. Let x = 277.023941 - n. Let m = x - -0.016. Round m to five decimal places. -0.00006 Let a = -4 + 10. Let o = a + -5.84. What is o rounded to 2 decimal places? 0.16 Let l = 60.76 + 15.86. Let t = l + -76. Round t to one dp. 0.6 Let m = -555 - -1052. Let o = -496.743 + m. Round o to two decimal places. 0.26 Let g = 25 + -24.987. Let o = g - -90.987. Let w = o + -91.0000053. What is w rounded to six decimal places? -0.000005 Let f = 0.252 + -0.24. What is f rounded to three dps? 0.012 Let i = -71 + 142. Let p = i - 32. Suppose 3*b - 114 + p = -3*k, 125 = 5*b - k. Round b to the nearest ten. 30 Let o(m) = -12*m**3 - 2*m. Let h be o(2). What is h rounded to the nearest 1000? 0 Let d = 0.07 + -0.29. What is d rounded to one decimal place? -0.2 Let u = 12 + -15. Let h = u - -0.5. What is h rounded to one decimal place? -2.5 Let i = 1 - 2. Let l be i/((-3)/(-1467)) + -1. Round l to the nearest one hundred. -500 Let d = -875.1162 - -875. Let b = -0.12 - d. Round b to 3 decimal places. -0.004 Let s = -304.5 - -304.2693. Let g = 0.219 + s. What is g rounded to 3 dps? -0.012 Let v = -460.7 + 429. Let h = 1.7 + v. Let x = 29.966 + h. What is x rounded to two decimal places? -0.03 Let y = -6 + 5.9999935. What is y rounded to 6 decimal places? -0.000007 Let u be (-8)/(-5) - (-4)/10. Suppose 2*t = u*r + 4, 3*t - 14 = 5*r - t. Let w be (-265)/3 + r/9. What is w rounded to the nearest 10? -90 Let i = 0.400001 + -0.4. What is i rounded to 7 dps? 0.000001 Let n(s) = -475001*s**2 - 2*s. Let k(y) = y**2 + 5*y - 6. Let i be k(-6). Suppose i*p - p = 2. Let h be n(p). What is h rounded to the nearest one million? -2000000 Let w(r) = r**2 + 4*r + 6. Let f be (1/3)/((-3)/(-54)). Let k be w(f). Suppose d - k = -586. Round d to the nearest
{ "pile_set_name": "DM Mathematics" }
1 + 1158. What is the nearest to h in f, -4/7, 1.4? -4/7 Let w = -14.2 + 26.9. Let n = w - 12.9. What is the nearest to 35 in 0.5, n, -1/3? 0.5 Suppose 10 = 154*m + 2 + 8. Let i = -0.6 + 1. Which is the closest to m? (a) i (b) -1 (c) 0 c Let i = 3/10 + -29/5. What is the closest to -1 in 5, i, 2/13? 2/13 Let n = -14.7 - -14. Let q = -0.2 - n. Let b(y) = -y**3 + 11*y**2 - 5. Let d be b(11). What is the nearest to 2/5 in -2/5, q, d? q Let j = -2.158 - -0.158. What is the nearest to -2 in -3, 2, j? j Suppose -26*y = -33*y. Suppose -4*o = -8*o. What is the closest to o in y, -1/5, 0.5? y Let f be (71/284)/(46/(-16) + 2). What is the closest to f in -14, 1/5, -4/3? 1/5 Let n = 4 + -37. Let m = 33.4 + n. Let d = 5 + 0. Which is the nearest to -0.1? (a) m (b) d (c) -4 a Let h = -75.8 + -0.2. Let n = h + 76. What is the closest to -1 in 0.4, n, -0.1? -0.1 Let g be (-452)/(-20) + -3 - 0. Let w = 296/15 - g. What is the closest to 2/3 in -2/9, w, 1/2? 1/2 Let v be ((-156)/42 - -4)*-1. What is the closest to 0.1 in 0.8, 1, v? v Suppose 0 = -3*k + 5*f - 31, 4*k + 52 = 2*f + 20. Which is the closest to 3/2? (a) 1 (b) k (c) -2/7 a Let r = -1.1 - -0.8. Let b = 0.1 - r. Let p(q) = 3*q + 25. Let k be p(-9). What is the closest to -4/7 in 0.2, k, b? 0.2 Let p = -22 + 22.1. Let l be (-340)/160 + (-2)/(-16). What is the closest to p in l, 7, 2? 2 Let s(w) = w - 4. Let y be s(3). Let c = -1549/15 - -102. Let n = c + 239/165. What is the nearest to 0.3 in -4/5, n, y? n Let i = -93 - -46. Let o = i + 45. Let v be (-4)/(-10)*10/3. Which is the closest to o? (a) -1 (b) 5 (c) v a Let w(t) = t**2 - 15*t + 23. Let h be w(13). Which is the closest to 1? (a) h (b) -1/2 (c) 2/3 c Let l = -637457357/3438 + 3336433/18. Let z = l - -22/191. Let u = z - -57. Which is the nearest to u? (a) 0 (b) -3 (c) -2 a Let j = -6142/7 - -878. What is the nearest to -4 in j, 0.3, 0.01? 0.01 Let l = -22.965 + -0.035. Let r = 23.052 - 0.052. Let x = r + l. What is the closest to -0.1 in x, -0.4, -3/8? x Let i = -108.58 - -108. Let g = i - -0.98. Which is the closest to -1/3? (a) -2/3 (b) g (c) -5/4 a Let o = -2/763 - -2305/6104. Let r = -145 - -52. Let j = r + 467/5. Which is the closest to -0.1? (a) j (b) o (c) 5 b Let f be (-4)/(-6) + (-8)/66. Let k = -43 + -61. Let w = 100 + k. Which is the closest to 0? (a) -1/3 (b) w (c) f a Suppose -7*w + 103 = -142. Let t be -6*(w/10 + -4). Which is the nearest to -1? (a) 1 (b) t (c) -0.3 c Let x = -4289 + 4289.1. Suppose q + 2*s = -13, 4*q + 3*s = 6*s - 8. Which is the nearest to x? (a) q (b) -0.3 (c) -2/17 c Let v = -1/208 + -311/208. Let x be (((-12)/8)/3)/(6/(-4)). What is the nearest to 0.3 in v, x, 5? x Let g be 10*-1*(-24)/(-30). Let r be (2/10)/(-1*(-4)/g). Which is the nearest to r? (a) -5 (b) 5 (c) 4 c Let j = 1.05 + 0.15. Let l = j - 1.29. Let q = l - -1.09. Which is the closest to -1? (a) q (b) 2/5 (c) 1/5 c Let t be (-84)/(-36) - ((1 - 0) + -2). What is the closest to t in 3, 0.5, -2? 3 Let t = 529/6 + -177/2. Which is the nearest to -0.2? (a) t (b) -2/15 (c) 1 b Let l = 75.5 + -75.4. What is the closest to 0.3 in -4, l, 8, -1/7? l Let l be (-4)/((-304)/(-168) + 1/(-7)). Which is the closest to -1? (a) l (b) 0.5 (c) 1/4 (d) 0.2 d Let i = 351 - 351.3. What is the closest to i in -0.5, 0, -1? -0.5 Let z = 703 - 1409/2. Let h = 69441/5 + -13942. Let j = h + 54. Which is the nearest to -0.1? (a) z (b) -3 (c) j c Suppose 4*h + 2 - 10 = 0. Let n = 4 + -3. Let o = -10 + 15. Which is the nearest to n? (a) o (b) 2/5 (c) h b Let m = 0.8 + -2.4. Let u = m - 1. Let r = u - 0.4. Which is the nearest to 0.1? (a) r (b) -0.2 (c) 0.1 c Let n = 491 - 487. Which is the nearest to n? (a) 2/19 (b) 1/6 (c) 2/5 c Let p = 146 - 146. What is the closest to -0.2 in -0.1, p, 4, 1? -0.1 Let p = 195.4 - 196. Let y = -0.9 - 0.5. Let x = y + p. Which is the nearest to 0.1? (a) 3/5 (b) x (c) 0.5 c Let z be (-5)/((-10)/4)*(-33)/22. Which is the closest to 4? (a) -4 (b) 9 (c) 5 (d) z c Let w be ((-207)/(-15))/3 + -5. What is the nearest to 3 in w, -2, -1? w Let q = -94.4 - -93.8. Which is the nearest to q? (a) 5/4 (b) -11 (c) 2 a Let m = 55 + -219/4. Suppose u - 2*z = 12, -5*u - 2*z = 3 - 99. Suppose -2 = -4*b + u. What is the nearest to -0.1 in b, 0.4, m? m Let k be 10*1*(-2)/4. Let i = -12 + 11.7. Suppose 0*h = -3*p - h - 3, -2 = -5*p - 4*h. What is the closest to i in 1, p, k? 1 Let s = 198 + -190. What is the nearest to -1 in -2, s, 2/9, 4? -2 Let r = 2572 + -2575. What is the nearest to -1 in 256, 0, r? 0 Let i be (-3)/(-4) - (-2)/(-48)*26. Which is the nearest to i? (a) -0.4 (b) 1 (c) -0.14 a Let r be (54/5)/6 - (-4)/(-2). Let c = 4 - 6. What is the closest to c in -1/2, 5, r? -1/2 Let y be 2*-1 - (-10)/3. Let b = 123/28 + -29/7. Let m = 0.27 - 0.77. What is the closest to b in y, m, 2/9? 2/9 Let d = 55.1748 - -0.0252. Let r = d + -55. Which is the nearest to -1/2? (a) -2/35 (b) 3 (c) r a Let y be -3*(2 + 120/(-63)). Let h = -6.4 - 43.6. Let r = h + 49.9. Which is the closest to y? (a) 1 (b) r (c) 0.1 b Let z(n) = n**3 + 13*n**2 + 9*n - 16. Let y be z(-12). Let i be (y/12)/1*2/(-10). What is the closest to 0.2 in -1, i, -0.3? -0.3 Suppose 2 = j + 3, 2*y + 3*j = 3. Suppose -4*s + 17 = -4*a - 7, -5*s + 22 = -4*a. Let b = y + a. What is the nearest to 1 in -4, -4/3, b? -4/3 Let g = -0.499 - 0.001. Which is the nearest to 0.1? (a) g (b) 0.5 (c) -3 b Suppose 0 = -4*m - x - 12, -4*m + 5*x = 2*x + 12. Let g be m/6*(-20)/(-115). Let y = -1300/7 - -186. Which is the nearest to -1/4? (a) 5 (b) g (c) y b Let r = 3959/2 - 1979. What is the closest to -2 in r, -119, 2? r Let z = 38 - 9. Let x = z + -29. Which is the closest to 0.2? (a) -1 (b) -3 (c) x c Let j = 39 + -42. Let l(u) = u**3 - 6*u**2 - 6*u - 6. Let t be l(7). Which is the nearest to t? (a) j (b) -0.5 (c) 2 c Let k = -0.05 - 0.01. Let o = k + 0.16. Let f = -71 + 641/9. Which is the closest to o? (a) f (b) -0.1 (c) -0.4 a Let v = -57 + 75. Let i = -17 + v. Suppose 0 = -4*m + 2*m. Which is the closest to 4? (a) -4 (b) i (c) m b Let a = 1/35 + -109/140. What is the closest to -3 in 1/8, -5, a? -5 Let v = 3.016 + -0.016. Which is the nearest to -2/7? (a) -1.3 (b) -5 (c) v (d) -0.4 d Let z be 30/(-36) - 1/2. Let m = -4 - -50/13. Let v be 1*4/(-10)*-1. Which is the closest to v? (a) m (b) -1 (c) z a Let f = 2 - -1. Let u = -80.7 - -114.8. Let z = u - 34. Which is the nearest to 0.1? (a) 5 (b) f (c) z c Let a = 1614 - 1614.02. Suppose -3 = -d - 2*d. What is the closest to a in 3/7, d, -1/6? -1/6 Let u = -60.54 - -60. Let j = 4.46 - u. Let r(x) = x. Let g be r(0). What is the closest to g in j, 0, -0.1? 0 Let u = -945.4 + 945. Let s be (-3)/(3/(-4)) - -1. What is the closest to 4 in -4, s, u? s Let q = -13 - -12.9. Let n = -8/165 - -1/33. Let p = n + 169/220. Which is the nearest to q? (a) -4 (b) p (c) -5 b Let w = 65 + -60. Let q = -104 + 109.05. Let n = q - w. What is the closest to 3 in -3, -5, n? n Let w = -44.2 - -52.2. What is the nearest to 1 in 5/4, w, 2/3, -0.5? 5/4 Let z(y) be the second derivative of 3*y**5/20 - y**4/12 + y**3/6 - y**2/2 - 25*y. Let w be z(1). Which is the closest to 1? (a) 1 (b) -3 (c) w a Let n = -2.876 + -0.124. Let p = 0.27 + -0.07. Which is the closest to -1? (a) -4/9 (b) n (c) p a Let m = 31 + -153/5. Let n = 0 - -1.8. Let i = -0.8 + n. Which is the nearest to 1? (a) i (b) m (c) 0 a Let y = -897 - -896.76. Which is the nearest to y? (a) 15 (b) 3/2 (c) -2/7 c Let p = 1.9 - 41.9. Let c = p - -40.1. What is the nearest to -1 in c, 3, 4? c Let r = 12255/4 - 3063. Let h = -2 + 3. What is the closest to h in r, 19, -4? r Let d = 5 + -4.92. Let l = d - 0.38. Let z = -107 + 104. Which is the nearest to 0.2? (a) -1 (b) l (c) z b Let n = 0.66 - -0.34. What is the nearest to 7 in n, 0, 2? 2 Let z = 0.931 + 3.069. Which is the nearest to 0.1? (a) 0.4 (b) 0.7 (c) z (d) -1/11 d Let t = 781.3 + -719. Let p = -62 + t. Which is the closest to -0.2? (a) -5 (b) -0.2 (c) p b Let d = -134.7 - -130.7. What is the nearest to 0.1 in d, -26, 2? 2 Let r = 571/110 - 41/10. Which is the nearest to 2? (a) -2/9 (b) r (c) 2 c Let z = 2.93 + -2.95. Which is the nearest to 2/3? (a) 1 (b) 2
{ "pile_set_name": "DM Mathematics" }
vuurvvr. What is prob of picking 2 u, 1 v, and 1 r? 1/14 Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {m: 1, d: 1, w: 13}. 13/105 Calculate prob of picking 1 l, 1 h, and 2 g when four letters picked without replacement from {g: 5, l: 2, h: 6}. 24/143 What is prob of picking 1 w and 1 c when two letters picked without replacement from {w: 1, k: 3, c: 5, d: 3, f: 6}? 5/153 Two letters picked without replacement from joobebokjkyy. What is prob of picking 1 b and 1 j? 2/33 Calculate prob of picking 2 t when two letters picked without replacement from tttt. 1 Calculate prob of picking 2 e when two letters picked without replacement from fneew. 1/10 Four letters picked without replacement from {l: 1, w: 12, b: 5}. Give prob of picking 1 b and 3 w. 55/153 Three letters picked without replacement from giggaaoaoioiooiaui. Give prob of picking 2 a and 1 g. 3/136 Two letters picked without replacement from {i: 4, b: 4, x: 2, w: 1}. Give prob of picking 1 i and 1 x. 8/55 Calculate prob of picking 1 z and 2 c when three letters picked without replacement from {c: 11, j: 1, z: 3}. 33/91 Four letters picked without replacement from {f: 3, r: 4, p: 1, d: 2}. What is prob of picking 3 r and 1 f? 2/35 What is prob of picking 2 x and 1 r when three letters picked without replacement from {t: 1, r: 2, x: 4, i: 3}? 1/10 Two letters picked without replacement from {l: 1, o: 1, y: 1, i: 2, h: 1, b: 1}. Give prob of picking 2 i. 1/21 Calculate prob of picking 1 x, 1 h, and 1 f when three letters picked without replacement from mxfmhfmm. 1/28 Calculate prob of picking 1 s and 2 x when three letters picked without replacement from {x: 7, e: 2, s: 2, g: 1}. 21/110 Four letters picked without replacement from vvqqqqvqqqvqqqqvqqq. Give prob of picking 3 v and 1 q. 35/969 Calculate prob of picking 1 b and 2 x when three letters picked without replacement from bxxxbbxxxx. 21/40 What is prob of picking 1 d and 1 s when two letters picked without replacement from dsxdxfd? 1/7 What is prob of picking 1 c and 1 n when two letters picked without replacement from {n: 1, c: 1, s: 2, f: 1, o: 1, x: 1}? 1/21 Four letters picked without replacement from {b: 7, n: 6, c: 2}. What is prob of picking 3 n and 1 b? 4/39 What is prob of picking 1 u and 1 a when two letters picked without replacement from {a: 1, i: 1, m: 1, u: 1, o: 1}? 1/10 What is prob of picking 2 e and 1 c when three letters picked without replacement from qqeecqeqccqccqe? 6/91 Two letters picked without replacement from eofyeeeoggeogg. What is prob of picking 2 e? 10/91 Calculate prob of picking 2 l when two letters picked without replacement from {t: 3, l: 4}. 2/7 Three letters picked without replacement from {b: 3, d: 4}. What is prob of picking 3 d? 4/35 What is prob of picking 2 y and 2 g when four letters picked without replacement from pinnipipigygynngnnn? 1/1292 Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {f: 3, h: 6, m: 4, w: 6}. 8/57 Three letters picked without replacement from vvocvov. What is prob of picking 2 v and 1 o? 12/35 Four letters picked without replacement from kakggxkbxkaakk. What is prob of picking 1 b, 2 a, and 1 x? 6/1001 Two letters picked without replacement from ouppuuoppppopupu. What is prob of picking 1 p and 1 o? 1/5 Calculate prob of picking 1 n, 1 v, and 1 x when three letters picked without replacement from {w: 2, h: 2, x: 8, v: 1, n: 1}. 2/91 Four letters picked without replacement from xxxlxxlmll. What is prob of picking 1 m and 3 l? 2/105 Three letters picked without replacement from {o: 12, s: 3}. What is prob of picking 3 s? 1/455 Three letters picked without replacement from {g: 5, e: 7}. What is prob of picking 3 e? 7/44 Three letters picked without replacement from fkcfoyfcoc. Give prob of picking 1 f, 1 o, and 1 y. 1/20 Three letters picked without replacement from ucuucuuccccccccc. What is prob of picking 2 u and 1 c? 11/56 Four letters picked without replacement from rirroroozooiiir. What is prob of picking 3 o and 1 r? 10/273 Calculate prob of picking 2 q, 1 w, and 1 m when four letters picked without replacement from wuqomdudq. 1/126 What is prob of picking 1 v, 1 i, 1 m, and 1 f when four letters picked without replacement from fivmh? 1/5 Two letters picked without replacement from gddgdddddddgdddddd. Give prob of picking 1 d and 1 g. 5/17 Two letters picked without replacement from tkkttklktkkmtf. What is prob of picking 1 l and 1 t? 5/91 Two letters picked without replacement from {p: 1, w: 1, g: 1, q: 1, k: 1}. Give prob of picking 1 p and 1 w. 1/10 Three letters picked without replacement from jhkrs. What is prob of picking 1 j, 1 s, and 1 h? 1/10 Two letters picked without replacement from {a: 2, q: 2, t: 1}. Give prob of picking 2 q. 1/10 What is prob of picking 3 a and 1 s when four letters picked without replacement from alskklakaa? 2/105 What is prob of picking 2 r and 1 e when three letters picked without replacement from {a: 1, v: 1, r: 2, e: 2, x: 1}? 2/35 What is prob of picking 1 o and 2 i when three letters picked without replacement from oeomoomiomeiooooe? 9/680 Calculate prob of picking 2 c when two letters picked without replacement from {i: 3, c: 3, b: 1}. 1/7 Four letters picked without replacement from {w: 2, j: 3, f: 3, i: 7}. What is prob of picking 1 f and 3 i? 1/13 What is prob of picking 1 g, 2 h, and 1 x when four letters picked without replacement from {k: 1, y: 2, x: 1, h: 6, g: 2}? 2/33 Calculate prob of picking 2 o when two letters picked without replacement from oyyobyibyyco. 1/22 Two letters picked without replacement from cgggggggggggccggccg. Give prob of picking 2 g. 91/171 Three letters picked without replacement from {j: 1, i: 2, n: 1, x: 2, r: 1, l: 1}. What is prob of picking 1 i and 2 x? 1/28 Three letters picked without replacement from mmyymymymmmmmm. Give prob of picking 2 y and 1 m. 15/91 Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {d: 4, w: 3, u: 1, q: 2}. 4/45 Two letters picked without replacement from {f: 1, s: 7, u: 2}. What is prob of picking 1 s and 1 f? 7/45 Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {z: 2, a: 8}. 16/45 Four letters picked without replacement from vgpvgjjjpgj. Give prob of picking 2 j, 1 g, and 1 p. 6/55 Three letters picked without replacement from pppbzpzppzpnzpp. What is prob of picking 1 b, 1 p, and 1 z? 36/455 Calculate prob of picking 1 p, 1 l, and 2 k when four letters picked without replacement from {l: 2, k: 2, t: 1, x: 1, p: 1, a: 1}. 1/35 Three letters picked without replacement from kvvkkvvuv. What is prob of picking 1 u, 1 k, and 1 v? 5/28 Two letters picked without replacement from gqdkzzk. Give prob of picking 2 z. 1/21 Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {m: 1, x: 2, p: 1, g: 3}. 2/21 What is prob of picking 1 k and 1 n when two letters picked without replacement from {l: 2, n: 1, k: 1}? 1/6 What is prob of picking 1 q and 1 i when two letters picked without replacement from iqqqii? 3/5 Two letters picked without replacement from hiiiqrvi. What is prob of picking 1 h and 1 r? 1/28 What is prob of picking 1 y, 2 f, and 1 i when four letters picked without replacement from wfffyfffwywiwf? 6/143 Calculate prob of picking 4 y when four letters picked without replacement from yysiysssssysss. 1/1001 Three letters picked without replacement from {w: 3, v: 1, f: 5}. Give prob of picking 3 w. 1/84 Four letters picked without replacement from pjprprrjpprprpr. Give prob of picking 1 j and 3 r. 8/273 Calculate prob of picking 1 a and 1 c when two letters picked without replacement from acacaaaaacabaab. 2/7 Calculate prob of picking 2 f and 2 v when four letters picked without replacement from vvfvvvffff. 10/21 Two letters picked without replacement from aznnznssno. Give prob of picking 1 a and 1 n. 4/45 Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {a: 1, h: 1, l: 2, b: 1, g: 2, i: 1}. 1/28 What is prob of picking 2 j and 1 m when three letters picked without replacement from jjlrtrrrmqqmmrjmmqmj? 3/95 Calculate prob of picking 4 a when
{ "pile_set_name": "DM Mathematics" }
common divisor of 5 and r. 5 Let p be 182/49 - 2/(-7). Suppose 0 = -p*z - 0*z + 1004. Let r be (-2)/(2 + -3) + z. Calculate the greatest common factor of r and 23. 23 Let x = 55 - 30. Let f be (-2 - 1 - -2)*-10. What is the greatest common divisor of f and x? 5 Suppose -2 = 4*s + u + u, -3*u - 3 = -s. Let h = s + 22. Calculate the highest common factor of h and 66. 22 Let g = 1 - -2. Suppose 0 = h - g*h + c + 19, -5*h + 55 = 5*c. What is the highest common factor of 80 and h? 10 Let k be (-3*2)/2 - -31. What is the highest common factor of 7 and k? 7 Let y(g) = g**3 + 1 + 2*g**3 - 1. Let f be y(1). Let d be 2 + 3 + 42/f. Calculate the highest common divisor of 38 and d. 19 Suppose -32 = -0*g - 4*g. Suppose 0 = 4*t - g - 4, 57 = j - 3*t. Suppose 4*c + 4*n - 4 = 0, c = 2*c - 4*n - 26. Calculate the highest common divisor of j and c. 6 Let t = 6 + -2. Suppose 2*b = t*b - 80. Let d = 1 + 7. Calculate the highest common divisor of b and d. 8 Let f be ((-42)/8)/(5/(-40)). Let p(w) = -w + 1. Let g be p(-6). Calculate the highest common factor of g and f. 7 Suppose -4*m - 3*a = -59, m + 4*a = 3*m - 2. Suppose -g + m = 1. What is the highest common divisor of g and 15? 5 Let x be (5/(-15))/((44/(-72))/11). Calculate the greatest common divisor of x and 54. 6 Suppose 6*d = -0*d + 30. Suppose -2*i = 2*p - d*p - 96, 0 = i + 2*p - 34. What is the highest common factor of i and 14? 14 Let h = 6 - 2. Suppose -p + 28 = h*v, 5*v = p - 6*p + 80. Calculate the greatest common divisor of 48 and p. 12 Let k be (-6)/((-8)/4) + (-14)/(-2). What is the highest common factor of k and 35? 5 Suppose 18 = 3*x + 3*x. Suppose x*j + 6 = 4*j. What is the greatest common factor of j and 6? 6 Suppose -3*x - 3*n + 18 = n, -4*x - 4*n = -24. Calculate the highest common divisor of x and 48. 6 Let c(d) = -d - 10. Let w be c(0). Let z = w - -14. Suppose k - 15 = 5*g, -5*g + g + 46 = 5*k. Calculate the highest common factor of z and k. 2 Let s be (-6 - 12)/(1 + (-14)/10). Calculate the highest common factor of s and 18. 9 Suppose 3*h - 13 = 4*c - 58, 3*h = 5*c - 48. Let m(d) = d**2 + 11*d + 2. Let w be m(h). What is the greatest common factor of 4 and w? 2 Let i = 1 + 4. Let z be ((-55)/(-3))/(2/6). Calculate the greatest common divisor of i and z. 5 Let i(o) = o**2 - 2*o - 1. Let s be i(-3). What is the highest common factor of 140 and s? 14 Let r be (32/(-20))/((-2)/5). Suppose 4*t - h = 4*h - 180, -r*h = -16. Let v = -2 - t. Calculate the greatest common divisor of 95 and v. 19 Let u be (25/4 + 5)/((-6)/(-32)). Let y be -2 + (3 + -1)*11. What is the greatest common factor of y and u? 20 Let v = 4 + -16. Let h be ((-176)/v)/(4/6). Calculate the highest common divisor of h and 2. 2 Let s = -7 - -37. Let h(t) = t**3 + 8*t**2 - 8*t + 8. Let w be h(-9). Let z = 4 + w. Calculate the highest common factor of s and z. 3 Let z = -74 + 85. Let r be (-1)/(-4) + 614/8. What is the greatest common divisor of z and r? 11 Let a = -4 + 22. Let k = a - 12. What is the greatest common divisor of 42 and k? 6 Let v = 57 - 32. Calculate the highest common divisor of v and 125. 25 Let z(b) = b**3 + 7*b**2 + b - 5. Let d be z(-6). Calculate the highest common factor of d and 10. 5 Let j = -145 + 297. Suppose -m = 2*x - 92, m = -3*x + 3*m + j. Let q(i) = i**2 + 6*i + 9. Let u be q(-7). Calculate the highest common factor of x and u. 16 Suppose 3*w + 98 = 5*s, 100 = 5*s - 3*w - 2*w. Calculate the highest common factor of s and 133. 19 Let f(r) = -236*r - 4. Let a be f(-2). Suppose 12 = 4*y - a. What is the greatest common divisor of y and 15? 15 Let f be 49/2 - 1/(-2). Let q(o) = 9*o**3 + o. Let n be q(1). What is the greatest common divisor of f and n? 5 Suppose 2 = 3*v - 1, 2*x - 2*v = 60. Let l = x + -19. Calculate the highest common divisor of 24 and l. 12 Let o(m) = -m**3 - 4*m**2 + m + 4. Let x be o(-4). Suppose x = 2*u + u - 360. Suppose n - u = -3*n. What is the greatest common divisor of 75 and n? 15 Suppose 0 = -2*x - 18 + 60. Let i = x - 6. Calculate the greatest common factor of 105 and i. 15 Let i be 11/2*6/3. Let w(l) = -l**3 + 2*l**2 + 2*l - 2. Let x be w(2). Suppose -x*u = 2*u - 4. What is the greatest common divisor of u and i? 1 Let p(r) = -r**3 + r**2 + 2*r - 2*r - 3*r + 2 - 7. Let d be p(4). Let x = -5 - d. What is the highest common divisor of 12 and x? 12 Let i = -12 + 12. Suppose -5*q - 3*y - 26 + 116 = 0, -q + 3*y = i. Calculate the highest common factor of 75 and q. 15 Let r(j) = 17*j**2 - 3*j + 3. Let g be r(1). What is the highest common factor of g and 51? 17 Let n(y) = y - 2. Let q be n(3). Let r(u) be the second derivative of u**4/3 - 4*u. Let x be r(q). Calculate the highest common divisor of 12 and x. 4 Suppose 0 = 2*u + 4, -4*u - 80 = -0*r - 4*r. Suppose -13 = -4*f + 47. Let g = -9 + f. What is the greatest common factor of r and g? 6 Let w = -10 - -12. Suppose 0 = w*s + 2*s - 700. What is the highest common factor of 25 and s? 25 Let o = 34 - 20. Calculate the highest common divisor of 126 and o. 14 Let p(r) be the first derivative of r**4/2 - r**3/3 + r**2/2 + r - 8. Let k be p(5). Let o = 36 + -15. Calculate the greatest common factor of k and o. 21 Let w(z) = 5*z + 2. Let s(r) = -9*r - 3. Let k(l) = -6*s(l) - 11*w(l). Let u be k(-6). Suppose -5*v = -3 - u. Calculate the highest common factor of v and 1. 1 Let z be ((-2)/(-4))/((-5)/(-320)). What is the greatest common divisor of 4 and z? 4 Let d = 0 - -2. Let j = 13 + 7. Suppose j = d*k + 3*k. Calculate the highest common divisor of 1 and k. 1 Let u = -8 - -8. Suppose -2*s + 6*s - 20 = u. Calculate the greatest common factor of 5 and s. 5 Suppose -3*k + 467 = 5*p, -2*p = k - 75 - 112. Suppose -127 = -3*q + d - 3*d, -d = -2*q + p. Let t = -25 + q. Calculate the highest common divisor of t and 20. 20 Suppose 349 = 2*o + a, 45 = 2*o + 5*a - 300. What is the highest common divisor of o and 25? 25 Let u = 7 + -11. Suppose f = 2*m + 1, -5 = f - 2*f - 2*m. Let h be (u - 2)/f + 15. What is the greatest common factor of 13 and h? 13 Let g = -100 - -136. Calculate the highest common factor of 54 and g. 18 Suppose 0 = 5*q - 10, 2*q + 25 = c - 0*q. Let k = c - 19. Calculate the highest common factor of k and 90. 10 Suppose h = -5*g - h + 23, 5*h - 11 = 3*g. Suppose x - g*x + 6 = 0. What is the greatest common divisor of 3 and x? 3 Let j(t) = -t - 3. Let p be j(3). Let l = p + 7. Calculate the greatest common factor of l and 9. 1 Let z(i) = -i**3 + 9*i**2 - i + 13. Let q be z(9). Suppose h + 4*h = q*p + 123, 2*h + 2*p - 60 = 0. Calculate the highest common divisor of h and 3. 3 Let v(f) = 7*f - 10. Let l be v(4). Calculate the greatest common divisor of 12 and l. 6 Suppose 0 = -4*r + 36 - 0. Let x = 16 - -29. What is the highest common divisor of x and r? 9 Let i be -5*(-1)/5*11. Let s = -7 + i. Let a = 57 - 29. Calculate the highest common divisor of a and s. 4 Let v = 31 - -53. What is the highest common divisor of v and 12? 12 Let k be (8/(-3))/((-3)/63). Let u(g) = -g**3 + 3*g**2 + 4*g + 7. Let n be u(4). What is the greatest common divisor of k and n? 7 Suppose 6 = 2*m - 0. Suppose v = d + 50, -m*d + 0*d = -12. Suppose -i = u - 24, 2*u + v = 5*i - 38. Calculate the highest common divisor of 30 and i. 10 Suppose 3*h = -2 - 1. Let g(s) = -42*s**3 - s**2 - s. Let a be g(h). Calculate the greatest common factor of a and 6. 6 Suppose -5*t + 38 = -12. Calculate the highest common divisor of t and 110. 10 Suppose 3 = -5*t + 13. Let a(o) = 6*o**3 - o**2 - 2. Let i be a(t). Calculate the highest common divisor of i and 14. 14 Let f = 16 - 12. Suppose -3*j + 5*j + d - 14 = 0, 24 = f*j + 4*d. What is the highest common divisor of 4 and j? 4 Let i be 3/(6*2/76). Let p = 21 - i. Let c be (-4)/(-5)*5/2. What is the highest common divisor of c and p? 2 Let n = 44 + -35. Calculate the greatest common factor of n and 72. 9 Suppose -3*v - 17 = -5*y, 2*y + 3*v = y + 7. Let i be 3 - (-1)/((-2)/y). What is the highest common divisor of 8 and i? 1 Let l = 33 - 24. What is the greatest common factor of 81 and l? 9 Suppose 0 = 11*n - 20*n + 108. What is the greatest common divisor of 8 and n? 4 Let l be 9 + 0 + (1 - 1). Suppose -4*d = -d - l. Let y be (2 + 10)/(d/2). What is the greatest common divisor of 12 and y? 4 Let o = 0 + 26. What is the
{ "pile_set_name": "DM Mathematics" }
of -16463*j**5 - j**3*q + 502*j**2 + 32*q wrt j. -987780*j**2 - 6*q Find the third derivative of 738459*p**3 + 3500*p**2 + 171 wrt p. 4430754 What is the third derivative of -178*g**5 + 42*g**4 + g**3 + 8*g**2 + 21*g + 1053 wrt g? -10680*g**2 + 1008*g + 6 Differentiate -h**2*r - 21665*h**2 + h*r - 22098*r + 3 with respect to h. -2*h*r - 43330*h + r Find the first derivative of -12*u**3 + u**2 - 36537*u + 1029235 wrt u. -36*u**2 + 2*u - 36537 Find the first derivative of -232632*b**4 + 285792. -930528*b**3 Find the first derivative of 178*h**2*t - 4*h**2 + 77*h*t - 823086*t wrt h. 356*h*t - 8*h + 77*t What is the second derivative of -1864394*w**3 - 1603632*w? -11186364*w Find the first derivative of -556*g**4 + 943*g**2 + 724996. -2224*g**3 + 1886*g What is the second derivative of -3*j**3*u - 1219*j**2 - 1637*j*u - 3*j - 3 wrt j? -18*j*u - 2438 Differentiate -7940*l - 57743. -7940 Find the third derivative of 14822*g**4*x**2 + 18*g**4 + g**2*x**2 - g**2 - 19760*x**2 wrt g. 355728*g*x**2 + 432*g Find the second derivative of 4*b**3*i*v + 2*b**3*i - 54*b**3*v**3 + b**3 - b*i*v - b*i + 64*b*v - 3266*i*v**3 wrt v. -324*b**3*v - 19596*i*v Find the first derivative of -1248*y**4 - 5*y**2 + 2*y - 119803 wrt y. -4992*y**3 - 10*y + 2 What is the second derivative of -1307373*l**2 - 1463601*l wrt l? -2614746 Find the second derivative of 52824*i**5 - 14800*i wrt i. 1056480*i**3 Find the second derivative of -60*k**4 + 8038*k**3 + 551457*k. -720*k**2 + 48228*k Find the third derivative of 118*j**4*k*p + 518*j**3*k*p**3 + 892*j**2*p**3 + 2*j**2*p - 808*k wrt j. 2832*j*k*p + 3108*k*p**3 Find the first derivative of 2*g*p*w**2 + g*p*w - 166*g - 41*p**2*w + 139*p**2 + w**2 wrt w. 4*g*p*w + g*p - 41*p**2 + 2*w Find the second derivative of 20*d**4 - 335*d**3 - 3*d**2 + 7*d - 1356 wrt d. 240*d**2 - 2010*d - 6 Find the second derivative of -b**3 + 668971*b**2 - 2*b + 174117 wrt b. -6*b + 1337942 What is the second derivative of -7000*x**2 + 2768*x - 6 wrt x? -14000 Find the third derivative of -9894*j**4*v**2 + 332*j**4 - 4*j**2*v**2 - 15*j**2 - 45*j*v - 17*v**2 wrt j. -237456*j*v**2 + 7968*j What is the third derivative of -71*v**4 + 14*v**3 + 3*v**2 - 27*v + 14? -1704*v + 84 Differentiate 33934*g**2 - 41957 with respect to g. 67868*g Find the second derivative of 3*q**3*v**2 - 14*q**3*v + 27*q**2*v - 54*q*v + 76685*v**4 wrt v. 6*q**3 + 920220*v**2 Differentiate -2*r**3 - 454*r*u - 823668*u wrt r. -6*r**2 - 454*u What is the third derivative of 2*d**6 + 574*d**4 + 35*d**3 + 396628*d**2 wrt d? 240*d**3 + 13776*d + 210 Differentiate -1009454*p + 110346 with respect to p. -1009454 What is the derivative of -13*y**4 + 4*y**3 - 260*y - 483661 wrt y? -52*y**3 + 12*y**2 - 260 What is the third derivative of k*n*w**3 - 156*k*n*w**2 + 30*k*w**3 + k*w**2 + 864*k - 525*n*w**3 + w wrt w? 6*k*n + 180*k - 3150*n What is the first derivative of 71*m**4 + 57*m + 29591 wrt m? 284*m**3 + 57 What is the first derivative of -3*b**3 + 64382*b - 1284187 wrt b? -9*b**2 + 64382 Find the first derivative of 459698*q**2 - 760546. 919396*q What is the derivative of 665697*a**3 + 1904159? 1997091*a**2 What is the third derivative of 20*j**4*p - 664*j**3*p + 2*j**2 + 4405*j*p wrt j? 480*j*p - 3984*p What is the second derivative of 290*a**2*n**2*v**3 + 13*a**2*v**3 - a*n**2*v - 9805*n*v**3 wrt a? 580*n**2*v**3 + 26*v**3 Differentiate 58*h*z**2 + 2*h*z - 23111*h + 30*z**3 - 1 with respect to z. 116*h*z + 2*h + 90*z**2 Differentiate -24263*m**2 - 16*m*t + 368257*t with respect to m. -48526*m - 16*t What is the derivative of 3*k**3 - 88*k**2 - 83*k - 404782 wrt k? 9*k**2 - 176*k - 83 Find the second derivative of -3*n**3*r**2 - 2347*n**3 + 2*n**2*r**2 + 11*n**2*r + n**2 + 956*n*r**2 wrt r. -6*n**3 + 4*n**2 + 1912*n What is the second derivative of 100*u**4 + 66*u**3 + 12*u**2 - 1555319*u wrt u? 1200*u**2 + 396*u + 24 Find the third derivative of -259958*n**3 + 791*n**2 - n - 1. -1559748 What is the second derivative of -7285*d**4 - 35*d**3 + 446240*d? -87420*d**2 - 210*d What is the second derivative of -47135*a**2*m**2 - 13*a*m**2 + 1733*m**2 wrt a? -94270*m**2 Find the second derivative of 1031*m**3*n**2 + 125138*m**3 - 46*m*n**2 - 2*m*n - n**2 wrt n. 2062*m**3 - 92*m - 2 Find the second derivative of -93514*c**3 - 187*c + 4. -561084*c What is the second derivative of 34*f**2*j**2*r + 26309*f**2*j**2 + 2*f*j**2 + 4*f*j*r + 4*f*r + 2234*j**2 - r wrt f? 68*j**2*r + 52618*j**2 What is the third derivative of 3*o*s**4 - 102*o - 145*s**4 - 3*s**3 - 2*s**2 - 6*s wrt s? 72*o*s - 3480*s - 18 Find the second derivative of 2*f*h**2 + 3*f*h + 13*f - 14701*h**3 + 10*h wrt h. 4*f - 88206*h What is the third derivative of 181*v**4 + 128*v**3 + 2*v**2 - 32827 wrt v? 4344*v + 768 What is the second derivative of 35632*b**2 + 33820*b wrt b? 71264 What is the first derivative of -28890*k + 136661 wrt k? -28890 What is the second derivative of 155565*y**3 + 484106*y? 933390*y Find the second derivative of -18440*z**2 + 90204*z wrt z. -36880 Find the second derivative of -g*y**3 + 231*g*y**2 + g + y**3 - 26596*y wrt y. -6*g*y + 462*g + 6*y What is the first derivative of -140743*k + 129392 wrt k? -140743 What is the second derivative of -7*k**3*x**2 + 2*k**3 - 474*k**2*x**2 - 370*k**2*x - 3*k**2 - 6*x wrt x? -14*k**3 - 948*k**2 What is the derivative of 120773*a**2 + 216247 wrt a? 241546*a Find the first derivative of -2*a*n*o + 9*a*n - 4*a + 84358*n*o + 46335*o wrt n. -2*a*o + 9*a + 84358*o What is the third derivative of -3*k**4*n - 14*k**4 - 15*k**3*n - 3*k**3 - 13*k**2*n + k**2 - 2*k wrt k? -72*k*n - 336*k - 90*n - 18 What is the third derivative of 2*m**5*r**2 - 188692*m**3*r**2 + 505*m**2*r**2 - 3*m**2*r - 3*m*r**2 wrt m? 120*m**2*r**2 - 1132152*r**2 What is the second derivative of 5*q**3*s**2 + 2*q**3 - 16*q**2*s**2 - 1738*q**2*s + 103*q*s**2 + 2*q*s wrt s? 10*q**3 - 32*q**2 + 206*q Differentiate 64772*c**3 + c - 337311 wrt c. 194316*c**2 + 1 Find the third derivative of 376068*g**3*k**2 - 3*g**3 - 2173*g**2*k**2 - g**2 wrt g. 2256408*k**2 - 18 What is the third derivative of 3629*o**4 - 9*o**3 + 2*o**2 - o + 34799? 87096*o - 54 Find the first derivative of 147820*u**4 - 386045. 591280*u**3 What is the first derivative of 962*f**2 - 100*f + 487371? 1924*f - 100 What is the second derivative of -4*l*p**2 + l*p - 74552*p**2 + 10*p - 260 wrt p? -8*l - 149104 Find the third derivative of -2513329*n**4 - 995*n**2 + 1863 wrt n. -60319896*n Differentiate 2*a*t*w**2 - 468*a*t*w + a*w**3*y - 2192*t*w**3*y - 3*w**3*y + 2*w**3 + 1 wrt y. a*w**3 - 2192*t*w**3 - 3*w**3 Find the third derivative of -165*s**5 - 3*s**4 + 5*s**3 - 203*s**2 + 34*s - 1. -9900*s**2 - 72*s + 30 What is the third derivative of j**4*u**2 + 211*j**4 - 259*j**3*u**2 - j**2*u**2 + 2*j**2*u - 209*j**2 + 2558*j*u wrt j? 24*j*u**2 + 5064*j - 1554*u**2 Differentiate -14*i**4 - 63*i**3*p + 9894*p with respect to i. -56*i**3 - 189*i**2*p Find the first derivative of 153296*b**3 - 160957 wrt b. 459888*b**2 Find the second derivative of 7333*t**5 - t**3 - 4*t**2 - 61399*t wrt t. 146660*t**3 - 6*t - 8 What is the second derivative of 859461*u**2 + 171767*u? 1718922 Find the third derivative of 965518*m**5 - 29739*m**2. 57931080*m**2 Differentiate -126392*u - 129682. -126392 Differentiate 182584*k**2*l**2 - 5*k**2*q**3 + 61*l**2*q**2 + 9*l*q + 84*q**3 wrt k. 365168*k*l**2 - 10*k*q**3 Find the third derivative of 5*i*m**4 - 3531*i*m**3 - 1688*i*m**2 + 16*m**3 + 2*m**2 - 427 wrt m. 120*i*m - 21186*i + 96 Find the third derivative of 184*h**3*v**3 + 2*h**3*v**2 + 7*h**3*v + 21*h**3 - h*v**4 - 20*h*v**3 + 4 wrt v. 1104*h**3 - 24*h*v - 120*h Find the second derivative of -6*g*q**3 - 4773*g*q**2 + 27839*g*q + q wrt q. -36*g*q - 9546*g What is the third derivative of -f**2*t**3 - f**2*t**2 + 145843*f*t**5 - 3*f*t**2 - 35039 wrt t? -6*f**2 + 8750580*f*t**2 What is the second derivative of 78741*l**2 - 79043*l? 157482 Differentiate -177563*u**2*x**2 - 4*u**2 - 2349*u - 2 with respect to x. -355126*u**2*x Find the first derivative of 69*p**3*s**2 + 35490*p**3 + 47*p**2*s**2 wrt s. 138*p**3*s + 94*p**2*s Find the second derivative of 61727*n**2*z**2 + n**2*z - n*z**2 - 22497*n*z wrt z. 123454*n**2 - 2*n What is the first derivative of 92140*y**3 - 2936593 w
{ "pile_set_name": "DM Mathematics" }
69407, -369402, -369397, -369392? 5*t - 369417 What is the u'th term of 160553, 160556, 160559, 160562, 160565? 3*u + 160550 What is the x'th term of 2419, 4744, 7077, 9424, 11791? x**3 - 2*x**2 + 2324*x + 96 What is the t'th term of 3541733, 3541735, 3541737, 3541739, 3541741, 3541743? 2*t + 3541731 What is the v'th term of 401, 798, 1191, 1580, 1965? -2*v**2 + 403*v What is the p'th term of -1843, -3517, -5197, -6883, -8575, -10273? -3*p**2 - 1665*p - 175 What is the a'th term of -1820, -1823, -1828, -1835? -a**2 - 1819 What is the m'th term of 11389, 45508, 102381, 182014, 284413, 409584, 557533, 728266? m**3 + 11371*m**2 - m + 18 What is the v'th term of -282, -4211, -14872, -35631, -69854? -561*v**3 - 2*v + 281 What is the p'th term of 51895, 51898, 51903, 51910, 51919, 51930, 51943? p**2 + 51894 What is the j'th term of -7351, -7216, -7081? 135*j - 7486 What is the x'th term of -2476, -4764, -7040, -9298, -11532, -13736? x**3 - 2295*x - 182 What is the k'th term of 239867, 239866, 239865? -k + 239868 What is the l'th term of 5089, 9900, 14711, 19522, 24333, 29144? 4811*l + 278 What is the o'th term of 10838, 10595, 10352, 10109, 9866? -243*o + 11081 What is the s'th term of -6240, -6217, -6192, -6165, -6136, -6105? s**2 + 20*s - 6261 What is the m'th term of 93, -947, -2679, -5103, -8219, -12027? -346*m**2 - 2*m + 441 What is the y'th term of -177, -347, -475, -555, -581, -547? y**3 + 15*y**2 - 222*y + 29 What is the f'th term of -143234, -286466, -429698? -143232*f - 2 What is the y'th term of 149422, 597696, 1344820, 2390794, 3735618, 5379292, 7321816? 149425*y**2 - y - 2 What is the s'th term of 132447, 132450, 132453, 132456, 132459? 3*s + 132444 What is the t'th term of -283, -740, -1203, -1672? -3*t**2 - 448*t + 168 What is the h'th term of -72, -69, -36, 21, 96, 183, 276? -h**3 + 21*h**2 - 53*h - 39 What is the m'th term of -15944, -15952, -15964, -15980, -16000, -16024, -16052? -2*m**2 - 2*m - 15940 What is the u'th term of 3314, 13268, 29858, 53084? 3318*u**2 - 4 What is the i'th term of -20, -179, -626, -1505, -2960, -5135, -8174? -24*i**3 + 9*i - 5 What is the z'th term of -416982, -833960, -1250938? -416978*z - 4 What is the f'th term of 1281, 4138, 8885, 15510, 24001, 34346, 46533, 60550? -2*f**3 + 957*f**2 + 326 What is the k'th term of -178, -309, -442, -577, -714, -853, -994? -k**2 - 128*k - 49 What is the l'th term of -284, -425, -566, -707, -848? -141*l - 143 What is the p'th term of -246, -512, -798, -1104, -1430? -10*p**2 - 236*p What is the v'th term of -770, -2797, -6100, -10679, -16534, -23665, -32072? -638*v**2 - 113*v - 19 What is the n'th term of -84774, -169539, -254300, -339057, -423810, -508559? 2*n**2 - 84771*n - 5 What is the f'th term of -225452, -225447, -225432, -225401, -225348, -225267? f**3 - f**2 + f - 225453 What is the w'th term of -3021, -6054, -9087, -12120, -15153? -3033*w + 12 What is the u'th term of -9676, -9666, -9648, -9622, -9588, -9546? 4*u**2 - 2*u - 9678 What is the p'th term of 69997, 70007, 70017, 70027? 10*p + 69987 What is the s'th term of -1450, -1419, -1394, -1375? -3*s**2 + 40*s - 1487 What is the u'th term of 824, 1659, 2494, 3329, 4164? 835*u - 11 What is the i'th term of -85, -448, -1073, -1978, -3181, -4700, -6553? -3*i**3 - 113*i**2 - 3*i + 34 What is the l'th term of -363, -542, -733, -942, -1175, -1438, -1737, -2078? -l**3 - 172*l - 190 What is the w'th term of 49472, 49482, 49494, 49508, 49524, 49542? w**2 + 7*w + 49464 What is the z'th term of -19156, -38298, -57440, -76582, -95724? -19142*z - 14 What is the o'th term of -560, -1086, -1624, -2180, -2760? -o**3 - 519*o - 40 What is the j'th term of 9619, 9643, 9667, 9691? 24*j + 9595 What is the a'th term of 247, 483, 683, 847? -18*a**2 + 290*a - 25 What is the i'th term of 210895, 210870, 210847, 210826? i**2 - 28*i + 210922 What is the v'th term of 826, 1421, 2038, 2683, 3362, 4081, 4846? v**3 + 5*v**2 + 573*v + 247 What is the n'th term of -47, -443, -1547, -3713, -7295, -12647? -59*n**3 + 17*n - 5 What is the u'th term of -3279, -5688, -8111, -10554, -13023, -15524, -18063? -u**3 - u**2 - 2399*u - 878 What is the x'th term of -18133, -18131, -18129, -18127, -18125, -18123? 2*x - 18135 What is the h'th term of 7693, 15382, 23071, 30760? 7689*h + 4 What is the w'th term of -22966, -22952, -22924, -22876, -22802, -22696, -22552? w**3 + w**2 + 4*w - 22972 What is the q'th term of -101, -174, -225, -242, -213? 2*q**3 - q**2 - 84*q - 18 What is the b'th term of -314211, -314214, -314219, -314226, -314235, -314246? -b**2 - 314210 What is the s'th term of -2037, -4072, -6109, -8148, -10189? -s**2 - 2032*s - 4 What is the m'th term of -1677063, -1677061, -1677059? 2*m - 1677065 What is the x'th term of -330, -424, -520, -618, -718, -820, -924? -x**2 - 91*x - 238 What is the g'th term of -855, -829, -789, -729, -643, -525, -369, -169? g**3 + g**2 + 16*g - 873 What is the f'th term of 350331, 700673, 1051015, 1401357, 1751699? 350342*f - 11 What is the a'th term of 3814, 7637, 11474, 15331, 19214, 23129? a**3 + a**2 + 3813*a - 1 What is the o'th term of 127, 528, 1187, 2098, 3255, 4652, 6283? -o**3 + 135*o**2 + 3*o - 10 What is the j'th term of 297678, 297680, 297684, 297690, 297698? j**2 - j + 297678 What is the n'th term of 2, -40, -198, -532, -1102, -1968, -3190, -4828? -10*n**3 + 2*n**2 + 22*n - 12 What is the z'th term of -29121, -58241, -87361, -116481, -145601? -29120*z - 1 What is the y'th term of 8673, 8670, 8667? -3*y + 8676 What is the p'th term of -507, -569, -609, -621, -599? p**3 + 5*p**2 - 84*p - 429 What is the i'th term of 1071, 1227, 1495, 1881, 2391? i**3 + 50*i**2 - i + 1021 What is the x'th term of -24, 43, 122, 219, 340, 491, 678? x**3 + 60*x - 85 What is the k'th term of -235929, -235927, -235925, -235923, -235921, -235919? 2*k - 235931 What is the v'th term of 70508, 70512, 70516, 70520, 70524? 4*v + 70504 What is the v'th term of -3794, -3900, -4050, -4250, -4506, -4824? -v**3 - 16*v**2 - 51*v - 3726 What is the k'th term of -433, -1219, -2523, -4339, -6661, -9483, -12799? k**3 - 265*k**2 + 2*k - 171 What is the z'th term of 2389, 2229, 2069, 1909? -160*z + 2549 What is the t'th term of -266, -275, -298, -341, -410, -511, -650? -t**3 - t**2 + t - 265 What is the j'th term of 1087, 1084, 1081, 1078? -3*j + 1090 What is the y'th term of 9886, 9902, 9928, 9970, 10034? y**3 - y**2 + 12*y + 9874 What is the r'th term of -321, -642, -963, -1284, -1605? -321*r What is the a'th term of 5019, 9988, 14957? 4969*a + 50 What is the m'th term of 518, 2359, 5428, 9725, 15250, 22003? 614*m**2 - m - 95 What is the n'th term of -1498, -3258, -5018, -6778, -8538, -10298? -1760*n + 262 What is the w'th term of -4974, -3643, -2314, -987, 338, 1661? -w**2 + 1334*w - 6307 What is the s'th term of -1695, -1684, -1659, -1614, -1543? s**3 + s**2 + s - 1698 What is the g'th term of -278, -195, -110, -23, 66, 157, 250? g**2 + 80*g - 359 What is the t'th term of 875, 887, 911, 953, 1019, 1115? t**3 + 5*t + 869 What is the f'th term of -47690, -47696, -47688, -47660, -47606, -47520, -47396, -47228? f**3 + f**2 - 16*f - 47676 What is the n'th term of -169, -616, -1347, -2356, -3637, -5184? n**3 - 148*n**2 - 10*n - 12 What is the q'th term of 1482, 1484, 1486, 1488, 1490, 1492? 2*q + 1480 What is the z'th term of -1392, -1402, -1418, -1440? -3*z**2 - z - 1388 What is the x'th term of -9885, -19756, -29627, -39498, -49369? -9871*x - 14 What is the k'th term of -352, -1298, -2834, -4960, -7676, -10982? -295*k**2 - 61*k + 4 What is the q'th term of 215, 262, 141, -148, -605? -84*q**2 + 299*q What is the s'th term of 380, 1437, 3164, 5561, 8628, 12365, 16772? 335*s**2 + 52*s - 7 What is the j'th term of -2257, -3004, -3765, -4546, -5353, -6192, -7069? -j**3 - j**2 - 737*j - 1518 What is the r'th term of 238, -112, -1636, -4922, -10558, -19132, -31232? -98*r**3 + r**2 + 333*r + 2 What is the d'th term of 305, 319, 369, 473, 649? 3*d**3 - 7*d + 309 What is the z'th term of -16441, -65732, -147873, -262858, -410681, -591336, -804817? z**3 - 16431*z**2 - 5*z - 6 What is the x'th term of 76, 903, 3148, 7519, 14724, 25471? 118*x**3 + x**2 - 2*x - 41 What is the h'th term of 715, 2927, 6667, 11947, 18779, 27175? 2*h**3 + 752*h**2 - 58*h + 1
{ "pile_set_name": "DM Mathematics" }
factor of (48/(-18) + 5)*2*(2061 + -6)? True Let x(s) = -6*s**2 + 23*s - 53. Let m(z) = -3*z**2 + 11*z - 27. Let l(p) = -5*m(p) + 2*x(p). Does 47 divide l(13)? False Let w be (-3 + 12/2)/1. Suppose 8*t - w*t + 18 = 2*h, 0 = 5*t + 10. Suppose -2 = -2*f, -h*n = -f - 0*f - 43. Is n a multiple of 2? False Suppose -24*v - 28*v = -28*v - 41712. Does 3 divide v? False Let j = 45171 - 22200. Does 13 divide j? True Is 69 a factor of -4 - (-6 + (11 + -15)/(10/4135))? True Let b(h) = 27*h**2 + 2*h + 8. Suppose 31*v = 5 - 98. Is 7 a factor of b(v)? True Suppose 21*h - 23*h + 2 = 0, 0 = b + 8*h - 9122. Is 10 a factor of b? False Suppose -4*y + 22 = 5*l, -2*y - l = -4*l. Is 47 a factor of (94/y)/((-9)/((-2052)/8))? True Let m = -168 + 168. Suppose m = -4*o + 16, -4*o - 7 = -t + 48. Does 42 divide t? False Suppose 127 = 12*s + 19. Suppose s*f = 628 + 317. Is 11 a factor of f? False Let y be 1*305/(-20) - 3/(-12). Is 60 a factor of (225/(-10))/y*24*25? True Let f(a) = 18*a**2 - 20*a + 28. Let x be f(-7). Suppose g = -0*g + x. Is g a multiple of 40? False Suppose -3*l + b - 748 = 339, 3*l = -2*b - 1084. Let k = l + 420. Does 3 divide k? False Let d = -99805 + 150088. Is d a multiple of 37? True Suppose 0 = -4*q + 10*q + 312. Let a = q + 80. Does 12 divide (4 + 20/(-14))*a? True Suppose -4*m = -0*m - 72. Suppose -7*z + z + 90 = 0. Suppose z*s - m*s = -165. Does 18 divide s? False Suppose -913384 = -93*z + 232376. Is 80 a factor of z? True Let x be (-69)/(-6) + (-6)/4. Let m(b) = 2*b**3 - 4*b**3 - 2 - 5 - 6*b - x*b**2 - 2*b. Is m(-5) a multiple of 5? False Let s(z) be the second derivative of z**4/12 - 5*z**3/3 + 15*z**2/2 - 13*z. Let v be s(10). Suppose -v*p + 26*p - 154 = 0. Is 5 a factor of p? False Suppose -8*t - 16067 = 9*t - 119852. Is 17 a factor of t? False Suppose -13231 - 1679 = -70*l. Is 31 a factor of l? False Suppose 6*h = 8*h + 122. Let j = h + 70. Is 20 a factor of (-3)/j + (-295)/(-3) + 2? True Let t(s) = -5*s - 2. Suppose d - 131 = 4*k + 2*d, 3*k + 2*d = -102. Is t(k) a multiple of 9? False Let g = 17 + -10. Let m be -219*8/(-12) - 6. Suppose -5*r - m = -g*r. Is r a multiple of 10? True Let o = -24 - 15. Let y = o + 51. Is (-2)/(-12) + 1342/y a multiple of 14? True Let g(i) = 2*i**3 + 6*i**2 - 16*i + 11. Let d be g(6). Let k = d - 382. Is 5 a factor of k? False Suppose l + 4*f = 7, 5*l + 2*f = -f + 18. Suppose l*j - 2*j + 3*n = 281, 5*n = -j + 275. Is 29 a factor of j? True Let k(x) = -8*x + 24. Let r(w) = 7*w - 25. Let v(m) = -5*k(m) - 6*r(m). Let n be v(-15). Is 16 a factor of (2568/n)/((-2)/(-10))? False Suppose 16*d + 18 = 210. Let c(l) = 7*l - 68. Is c(d) even? True Suppose 6*g + 2*g + 248 = 0. Let x = 139 + g. Suppose 9*y - x = 5*y. Is y a multiple of 5? False Suppose -96 = 2*x + 378. Let j = x - -459. Does 62 divide j? False Suppose -5*l = p + 25, 2*p - 2*l + 0*l - 10 = 0. Suppose 5*u - 3*i = -191, -5*i = -5*u - p*i - 185. Let n = u + 62. Does 22 divide n? True Let u = -260 + -321. Let r = u + 1091. Is 10 a factor of r? True Let c be (-9)/(216/16)*9/2. Let m = c + 106. Does 9 divide m? False Suppose 55*r - 619 = 41. Suppose 4*k + 8*c - 3*c - 80 = 0, -4*c - 80 = -4*k. Suppose 0 = -r*h + k*h - 2280. Does 57 divide h? True Suppose 55 - 37 = 3*t, q = t + 10758. Is q a multiple of 299? True Let a(d) = -301*d + 317 - 71*d - 290. Is a(-4) a multiple of 33? False Let t(b) = -4*b - 6. Suppose 5*s - 10 = -3*d, 0*d = -5*s + 2*d - 15. Let n be t(s). Let c(r) = -7*r**3 - 5*r**2 - 3*r - 2. Is 20 a factor of c(n)? True Let d be (-2 - -1)/(4 - (-14)/(-4)). Let o be (-4)/(-2)*(d/(-4) - 0). Does 13 divide 3*o/4*52? True Let t = -32 + 34. Is ((-12)/48)/(t/(-168)) a multiple of 7? True Let q = 1485 - 1307. Is 12 a factor of q? False Suppose -6 = 4*b + 90. Let r(m) = 32*m + 20. Let p be r(-7). Let k = b - p. Is 36 a factor of k? True Let n = 8706 + 18654. Does 285 divide n? True Let r(y) = 2 + 16 - 113*y + 68*y + 68*y. Let a(s) = s**3 + 5*s**2 + 3*s - 2. Let j be a(-4). Is 16 a factor of r(j)? True Let r(y) = 2*y**3 - 13*y**2 + 6*y - 125. Is 39 a factor of r(13)? False Let j(u) = -18*u**3 + 5*u**2 + 8*u - 5. Let m(i) = -36*i**3 + 9*i**2 + 14*i - 10. Let q(g) = -5*j(g) + 3*m(g). Is 13 a factor of q(-2)? True Let o = 9765 + -4098. Does 18 divide o? False Let c = 16954 - -17556. Does 17 divide c? True Let d = -46980 + 65886. Does 23 divide d? True Suppose -47*p - 33872 = -89332. Does 59 divide p? True Let l(x) = -6 + 5524*x + x**2 - 33 - 5528*x. Is 12 a factor of l(17)? False Suppose u = -2*b + 2292, -4*u = 667*b - 671*b - 9144. Does 16 divide u? True Suppose 4*n = 2*g - 48996, -86*n = 4*g - 91*n - 98010. Is 95 a factor of g? True Let u be 2*(27/2 + -1). Suppose 20*k - u*k = 0. Suppose k = -x + 6 + 2. Is x a multiple of 3? False Suppose 112 = -2*t + 4*x, -4*t = -3*x - 125 + 334. Does 16 divide 854/4 + (-25)/t? False Let l(k) = 10*k**3 + 2*k**2 - 16*k + 6. Let u be l(4). Let s = -430 + u. Is s a multiple of 23? True Suppose s - 930 + 681 = 0. Is 2 a factor of s? False Suppose -45*h + 39*h + 2082 = 0. Let y = 109 + h. Is y a multiple of 12? True Let f be 3 + -1 + 0 + (-12)/(-4). Suppose 86 - 30 = f*y + 3*d, y - 6 = 2*d. Suppose 8*c - y*c + 162 = 0. Does 10 divide c? False Let c = 507 + -859. Let g = c + 592. Is 15 a factor of g? True Let j = 189 + -191. Is ((-12)/(-27))/j - 3244/(-18) a multiple of 18? True Suppose -6*q - 15 - 183 = 0. Let b = q + 33. Suppose d = 3*m - 5*m + 100, 2*d - m - 190 = b. Does 16 divide d? True Let q = -31 - -44. Let u(h) = 55*h - 204. Is u(q) a multiple of 73? True Suppose 136610 + 1112931 = 39*p + 34*p. Is 89 a factor of p? False Suppose -4*w + 3158 + 1442 = 0. Suppose 200 + w = 9*u. Is u a multiple of 34? False Let g(m) = -m**2 + 5*m + 1659. Let l be g(0). Is (l/(-14))/(6/(-8)) a multiple of 17? False Let l(r) = -39*r + 4816. Does 19 divide l(47)? True Let h(p) = -50*p - 30. Let x be 1/(((-24)/78)/4). Does 20 divide h(x)? True Is 3 a factor of (-3)/(-27) - (-13 - (-403104)/(-54))? False Suppose -20*g = 45*g - 227695. Is 31 a factor of g? True Let r(j) = -j - 13. Let y(s) = -2*s - 27. Let l(d) = -13*r(d) + 6*y(d). Let z be l(-19). Is 8/z*-3 + 49 a multiple of 10? False Suppose -27 = -3*g - 6. Suppose g*t - 945 = -175. Is t a multiple of 11? True Let t = 163 - 133. Suppose -5*v + 5*r = -t, -v - r + 15 = r. Suppose v = 2*l - 75. Is 14 a factor of l? True Let p = 1943 + -1300. Let z = -294 + p. Is 54 a factor of z? False Suppose -18*x = 2*s - 12*x - 34, -s + x - 3 = 0. Suppose -2*q = 3*q - 1675. Suppose q = -s*t + 7*t. Does 10 divide t? False Suppose -2*f + 6 = 4*z, -f = 2*f + 15. Suppose -z*o + 0*o = 4*m - 100, -5*o = -2*m - 111. Suppose o*s - 15*s - 24 = 0. Is 2 a factor of s? False Suppose -26 = -2*d + 6*d + 2*c, -2*c + 2 = 0. Let n(y) = 25*y**2 + 18*y + 13. Does 15 divide n(d)? False Suppose -145*v + 62*v = -133132. Is 8 a factor of v? False Let v(p) = -43*p**2 + 3*p + 1. Let o be v(-1). Let w = 100 + o. Suppose -2*i + 3*j + 17 = -w, 5*j = -4*i + 188. Does 6 divide i? True Suppose -i = -5 + 6. Let k be i/(-3)*(0 - 0/(-2)). Suppose k = 3*j - 427 - 437. Is j a multiple of 18? True Let c = 20 + -16. Suppose c*y - 72 - 12 = 0. Is 459/y + (-3)/(-21) a multiple of 5? False Let p(q) = -8*q**2 + 922*q - 184. Is 12 a factor of p(96)? False Suppose -10*w + 3 = -2*n - 7*w, 0 = -5*n + 5*w. Suppose -4*g - 684 = -2*u, n*u - 14*g + 15*g = 1061. Does 51 divide u? False Suppose -4*u + 0*b + 759 = 3*b, u - 186 = 3*b. Let w = u + -176. Is w even? False Let o(d) = 9*d**2 - 89*d + 9. Let k = 3 + 8. Does 17 divide o(k)? True Suppose 129779 = 15*c - 47861 + 25390. Is c a multiple of 50? True Suppose 236*f - 200926 = 225*f. Is f a multiple of 216? False Suppose -1 = -6*o + 41. Suppose j = 4*c + 212, -443 + o = -2*j + 2*c. Does 22 divide j? True Suppose h = 5*o - 6, -o + 2*o = 4*h - 14. Suppose -3*d - 5*v - 50 = -h*d, 2*d + 5*v - 115 = 0. Suppose -2*s - d = -337. Is s a multiple of 27? False Is (4/15)/(17/(-7293))*-40 a multiple of 44? True Let t = 36 - 28. Let f(d) = 2*d**2 - 10*d + 72. Is 24 a factor of f(t)? True Suppose 341*q = 377*q - 567608 - 710248. Does 12 divide q? True Suppose -23*p + 8498 + 1967 = 0. Let k = -65 + p. Is k a multiple of 26? True Suppose 47*b = -2*p + 49*b + 49204, 10*b = -4*p + 98352. Is 20 a factor of p? False Let m = 2144 - 3
{ "pile_set_name": "DM Mathematics" }
ivided by o? 1 Suppose 2*i - 19 = 5*p, -5*i + 2*p + 12 = -2*i. Suppose -i*y + 539 - 192 = 3*c, y = -c + 115. What is the remainder when c is divided by (-4 - 9/(-2))*34? 15 What is the remainder when -276*16/((-512)/40) is divided by 169? 7 Let k = 395 - 447. Let z = 6 - 3. Calculate the remainder when (z - (-123)/(-39)) + (-1204)/k is divided by 3. 2 Let o(d) = -7*d + 87. Let k be o(16). Calculate the remainder when 152 is divided by k/10*310/(-25). 28 Suppose -14*y = 41*y - 564 - 316. What is the remainder when 312 is divided by y? 8 Suppose -16*k - 1861 = -5861. Let t = -196 + k. Calculate the remainder when t is divided by 21. 12 Let j = 9106 + -8992. What is the remainder when 227 is divided by j? 113 Let s = 36162 + -35982. What is the remainder when 7916 is divided by s? 176 Let i(g) = -12*g - 50. Let r be i(-4). Let b(f) = -42*f - 43. Calculate the remainder when 163 is divided by b(r). 40 Let p(y) = 264*y + 5626. What is the remainder when p(-19) is divided by 285? 40 What is the remainder when 3061/9 - 151/1359 is divided by 87? 79 Let y = -1380 + 1470. What is the remainder when 532 is divided by y? 82 Suppose -3*t = w - 31, 3*t + 46 + 95 = 3*w. Let h = w - 25. Let r(u) = -u**3 + 38*u**2 + 58*u - 2192. Calculate the remainder when h is divided by r(38). 6 Suppose 0 = -5*b - 4*l + 36, -9 = -2*b + 4*l - 17. Suppose -3*x = 2*q - 56, 2*q - b*x - 32 = -x. What is the remainder when q is divided by 4? 2 Let o(z) = 2*z**3 + 3*z + 3. What is the remainder when 70 is divided by o(0)? 1 Let a be (-2)/14 + (-1034)/14. Let o = 77 + a. Suppose -o*w + 130 = -59. Calculate the remainder when w is divided by 14. 7 Let p(v) = -3*v**3 - 49*v**2 + 15*v - 21. Let r = 5 - -14. Calculate the remainder when p(-17) is divided by r. 17 Calculate the remainder when 192 is divided by (-315)/(-45) + (1 - (-6 + -1)). 12 What is the remainder when 192 is divided by 14 + 3 + -16 + 19? 12 Let x(w) = -w**2 - 14*w - 2. Let d be x(-11). Suppose 2*y = 41 + d. Let p = y + -26. What is the remainder when 19 is divided by p? 9 Let r(c) = c**3 + 7*c**2 - 12*c + 3. What is the remainder when 2591 is divided by r(2)? 11 Suppose 58 = 4*g - 2*g. Suppose h + 85 = 134. Suppose 3*q - h = -f, -12*q - 5*f + 85 = -7*q. What is the remainder when g is divided by q? 13 Suppose 11*g + 1187 - 3442 = 0. Let v = 353 - g. Calculate the remainder when v is divided by 76. 72 Let c(m) = -m**3 + 18*m**2 - 62*m + 212. Calculate the remainder when 1168 is divided by c(12). 172 Let u = 28 + -1. Suppose -6*i + u + 45 = 0. Calculate the remainder when ((-18)/15)/(i/(-440)) is divided by 15. 14 Suppose -5*h + u = -7, -202*h - 5*u = -204*h - 11. Calculate the remainder when 97 is divided by h. 1 Let u(g) be the first derivative of g**4/4 + 17*g**3/3 + 6*g**2 - 53*g + 149. Calculate the remainder when 47 is divided by u(-16). 3 Let b(j) = -23*j + 25. Let h(f) = -2*f**2 - f + 12. Suppose 5*c + 28 = 28. Calculate the remainder when b(-3) is divided by h(c). 10 Let r be (4/3)/(287/(-42) + 7). Suppose -r*k - 70 = -15*k. Let t = -40 + 74. Calculate the remainder when t is divided by k. 4 Let g be (4 - (130 - 0)) + 0. Let v = g + 56. Let a = v + 106. What is the remainder when 95 is divided by a? 23 Let n(x) = -4*x**2 - 35*x - 39. Let i(q) = -2*q**3 - q**2 + 3*q + 4. What is the remainder when i(-4) is divided by n(-6)? 23 Suppose 328 = 29*j - 73 + 111. Calculate the remainder when 81 is divided by j. 1 Let c(b) = b**3 - 7*b**2 + 4*b - 4. What is the remainder when c(8) is divided by 820/21 + (-212)/4452? 14 Suppose -13*p = -6017 - 4513 - 6851. Calculate the remainder when p is divided by 330. 17 Let n be -2 - 21/(-3 - 0). Suppose 5*x = -5*u + 115, -2*u - 3*x = -n*u + 39. Suppose 0 = -4*c + 7*c - 90. Calculate the remainder when c is divided by u. 12 Suppose -15*l - 48 = -21*l. Suppose 4*y = -5*h + 245, 5*h + y = 129 + 101. What is the remainder when h is divided by l? 5 Let d = 195 + -171. Calculate the remainder when (22/(-6))/(2/(-78)) is divided by d. 23 Let y = 4561 - 4391. Calculate the remainder when 508 is divided by y. 168 Suppose -45 = 3*l - 27. Let f(s) = 8*s**2 + 28*s + 138. Calculate the remainder when f(l) is divided by 65. 63 Suppose 4 = -4*x + 56. What is the remainder when ((-12)/(-2) - (-238 + 76)) + -14 is divided by x? 11 What is the remainder when 2445 is divided by (404/(-303))/(1/(-27))? 33 Let q = 4669 + -4613. Calculate the remainder when 369 is divided by q. 33 Suppose -8*l + 452 + 220 = 0. Let a = l + -43. Calculate the remainder when a is divided by 23. 18 Let n be (-47)/(-7) + (-10)/(-35). Suppose 0 = -h + m - n, h = -h - 5*m. What is the remainder when 3/h + (324/15 - -3) is divided by 15? 9 Suppose 0 = -2*j - j - 21. Let u = j + 17. Suppose -261 - 55 = -158*n. Calculate the remainder when u is divided by n. 0 Suppose 83*o = -56*o + 39893. Calculate the remainder when o is divided by 27. 17 Let s = 25100 - 25022. What is the remainder when 4749 is divided by s? 69 Suppose 7*q - 450 = 10*q. Let l be q/(-60) - (-1)/2. Suppose d - 124 = -l*d. What is the remainder when 122 is divided by d? 29 Let b be ((-8)/40)/(4/20). Let n(z) = -43*z**3 - 2*z**2 - 2*z. What is the remainder when n(b) is divided by 9? 7 Let f(n) = n**3 + 11*n**2 - 9*n - 44. What is the remainder when f(-10) is divided by 4? 2 Let u be (-10432)/(-16)*1/(-2). Let y = u - -533. Calculate the remainder when y is divided by 18. 9 Let o be (-3291 - (-6)/3) + 10 + -6. Calculate the remainder when (-1)/(-3) + (5 - o/27) is divided by 5. 2 Suppose -105 = -6*v - 21. Suppose v*a - 339 = 11*a. What is the remainder when a is divided by 15? 8 Let g(c) = -62*c + 3335. What is the remainder when g(52) is divided by 228/5 - 4/(-10)? 19 Let l = 1701 - 1694. Calculate the remainder when 7 is divided by l. 0 Let w = 3614 + -5582. Calculate the remainder when (w/(-26))/2 - 18/(-117) is divided by 1. 0 Calculate the remainder when 1822 is divided by ((42/(-105))/((-4)/(-365)))/((-2)/4). 70 Let u(i) = 16*i**2 - 120*i + 1156. Calculate the remainder when u(9) is divided by 81. 76 Let d = 641 - -141. Suppose 3*b + 299 = 15*w - 13*w, 4*b = -5*w + d. What is the remainder when w is divided by 54? 46 Let z = 12673 + -12600. Calculate the remainder when 4/(-14) + (-3061)/(-7) is divided by z. 72 Let i(q) = -q**2 - 16*q - 13. Suppose 2*n = 3*m + 39, -4*m - 18 = -3*m + n. Let v be i(m). Calculate the remainder when 35 is divided by -1 - -8 - 5/((-5)/v). 8 Suppose -4*x - 44 = 3*g + g, -5*g - 5 = 0. Let a(r) = -55*r + 196. Let n be a(4). Calculate the remainder when 9 is divided by n/x*(1/(-2) - -3). 3 Suppose 0*u + 3*u - 267 = 0. Let m = -43 + u. Calculate the remainder when m is divided by (-24 + 8)*3/(-18)*3. 6 Suppose -t + 4*f = -5*t + 16, -4*f = -4*t + 16. What is the remainder when 23 is divided by (t - 8)/(-4 + 30/9)? 5 Let h = 377 + -346. Let r(d) = d**2 - 26*d + 149. Calculate the remainder when r(h) is divided by 61. 60 Let u(s) = s**2 + 7*s + 7. Let v be (1*-3)/((-12)/8)*-4. Calculate the remainder when 116 is divided by u(v). 11 Let q be 2/4*0/6. Let k be (-304 + (2 - q))/((-8)/4). Suppose 5*x + 292 = 3*m, k = -5*m - 2*x + 679. What is the remainder when m is divided by 36? 32 Let x = 13428 - 13253. Calculate the remainder when 671 is divided by x. 146 Let r(j) = -2*j. Let s be r(2). Let z be -2*-7*2/s. Let u(o) = -o**2 - 10*o - 6. Calculate the remainder when 40 is divided by u(z). 10 Let c = 256 - 259. What is the remainder when 66 is divided by 24 - (4 + (c - 1))*-1? 18 What is the remainder when 771 is divided by ((-82)/4)/(19 - 156/8)? 33 Let q(x) = x**2 - 35*x - 53. Let m = 174 + -137. Calculate the remainder when 80 is divided by q(m). 17 Suppose -15*v + 9*v + 204 = 0. Let l(p) = -4 + p**2 + 33*p**3 - 4*p + 1 - v*p**3. What is the remainder when 48 is divided by l(-2)? 14 Let j(o) = -o**3 - 20*o**2 + 17*o + 19. Let c be j(-20). Let i be c*(-4 + 6 + -3). Suppose -i - 113 = -14*g. Calculate the remainder when 59 is divided by g. 28 Let n(l) = l**2 + 12*l + 381. Let i be (2 + 0 + -2)/((-50)/(-50)). Calculate the remainder when n(i) is divided by 16. 13 Let g = 1008 - 442. What is the remainder when g is divided by 32? 22 Let f(z) = -49*z + 17. Suppose -538*x + 536*x = 0. What is the remainder when ((-8)/6)/(1/(-33)) is div
{ "pile_set_name": "DM Mathematics" }
at is 0.00009200672 rounded to six dps? 0.000092 What is -141839.5 rounded to the nearest one hundred? -141800 Round -0.01105151 to three decimal places. -0.011 Round 16.343 to the nearest 10. 20 What is -0.0203872 rounded to five decimal places? -0.02039 What is -12148.89 rounded to the nearest 1000? -12000 Round 540762160 to the nearest one million. 541000000 What is -2471790 rounded to the nearest 10000? -2470000 What is 5632713000 rounded to the nearest 1000000? 5633000000 Round -0.005732321 to five dps. -0.00573 Round -1035735.7 to the nearest one hundred thousand. -1000000 What is 118.67612 rounded to 0 dps? 119 What is 0.04566022 rounded to four decimal places? 0.0457 Round -73.209795 to one decimal place. -73.2 What is -27624.478 rounded to the nearest one hundred? -27600 Round 0.00007457644 to seven decimal places. 0.0000746 What is 2600089 rounded to the nearest one million? 3000000 Round 25644010 to the nearest one hundred thousand. 25600000 What is 6233346 rounded to the nearest ten thousand? 6230000 Round 4623.311 to the nearest integer. 4623 Round -362144000 to the nearest 1000000. -362000000 Round -605.68348 to the nearest ten. -610 What is 0.3332939 rounded to 1 dp? 0.3 What is -2890.8067 rounded to the nearest 100? -2900 What is 34132.29 rounded to the nearest 1000? 34000 Round 112.6196 to one decimal place. 112.6 Round 0.0000023002007 to 7 decimal places. 0.0000023 Round -1182.489 to the nearest 100. -1200 What is -185566.9 rounded to the nearest ten thousand? -190000 Round -0.862327 to two decimal places. -0.86 What is -0.0023324042 rounded to five decimal places? -0.00233 What is 0.000445853 rounded to seven dps? 0.0004459 Round 58.21595 to the nearest ten. 60 What is 0.308194 rounded to 3 decimal places? 0.308 Round -0.0005196519 to five dps. -0.00052 What is -0.1036967 rounded to two decimal places? -0.1 What is 0.0000006068151 rounded to 7 decimal places? 0.0000006 Round 581828.3 to the nearest 1000. 582000 Round -192.1125 to the nearest 10. -190 What is 7448.346 rounded to the nearest 100? 7400 What is -0.00000621152 rounded to six dps? -0.000006 What is 1184347800 rounded to the nearest one hundred thousand? 1184300000 Round 0.0000101637 to 6 decimal places. 0.00001 Round -0.000014799062 to six dps. -0.000015 What is 2807346 rounded to the nearest one thousand? 2807000 Round 0.1861622 to 2 decimal places. 0.19 Round 0.000647796 to six dps. 0.000648 What is -173.1452 rounded to 1 dp? -173.1 What is 0.03954086 rounded to four dps? 0.0395 Round 40068.2 to the nearest one thousand. 40000 What is 3788.811 rounded to the nearest integer? 3789 What is -33.017796 rounded to the nearest integer? -33 Round 1616935.8 to the nearest 10000. 1620000 Round 1134.1 to the nearest ten thousand. 0 What is -0.004208727 rounded to four decimal places? -0.0042 What is 0.00714409 rounded to 5 dps? 0.00714 What is 0.00002129351 rounded to 5 dps? 0.00002 Round 0.1681874 to one dp. 0.2 Round 0.0002081546 to four decimal places. 0.0002 What is 44416.2 rounded to the nearest 10000? 40000 What is 21607.866 rounded to the nearest one thousand? 22000 What is 322173000 rounded to the nearest one million? 322000000 Round -0.054930675 to two decimal places. -0.05 What is 1.276302 rounded to 3 decimal places? 1.276 Round -12351.94 to the nearest 10. -12350 What is 0.6276 rounded to the nearest ten? 0 What is -0.000001340914 rounded to seven dps? -0.0000013 Round -3.83705 to zero dps. -4 Round 310109980 to the nearest one million. 310000000 Round 0.0000405697 to six dps. 0.000041 Round -177540000 to the nearest one million. -178000000 Round -0.03188864 to 3 decimal places. -0.032 Round 468993.6 to the nearest 100000. 500000 Round -6548.44 to the nearest 10000. -10000 Round -74243400 to the nearest 1000000. -74000000 Round 256349300 to the nearest one hundred thousand. 256300000 What is -2796549 rounded to the nearest 1000? -2797000 Round -34.301328 to 1 decimal place. -34.3 Round -0.000009697211 to 6 decimal places. -0.00001 Round -0.000019256 to five decimal places. -0.00002 Round -0.0016209258 to 5 decimal places. -0.00162 Round -1404760.9 to the nearest ten thousand. -1400000 Round 0.0000042072 to six decimal places. 0.000004 Round -41.4826 to the nearest 10. -40 Round -3199190 to the nearest one million. -3000000 Round 5772744 to the nearest one thousand. 5773000 What is 130.209 rounded to 0 dps? 130 Round -4231.2 to the nearest one hundred. -4200 Round 0.0000015481734 to seven dps. 0.0000015 Round 2868333 to the nearest 1000. 2868000 Round -142.36472 to the nearest integer. -142 What is 0.431894 rounded to one decimal place? 0.4 What is -0.03643368 rounded to 4 decimal places? -0.0364 Round 400951500 to the nearest one hundred thousand. 401000000 Round 340.07 to the nearest one hundred. 300 What is -28.6538 rounded to the nearest ten? -30 What is 4599650 rounded to the nearest one hundred thousand? 4600000 Round 0.003034078 to 5 decimal places. 0.00303 What is -0.0001508962 rounded to 4 dps? -0.0002 Round 34.425 to the nearest 100. 0 What is -0.0819421 rounded to 4 decimal places? -0.0819 What is 6.9561 rounded to two decimal places? 6.96 Round 2758288.7 to the nearest one hundred thousand. 2800000 Round -65603340 to the nearest one million. -66000000 Round -2195542 to the nearest 10000. -2200000 What is -342.3467 rounded to the nearest 10? -340 What is -0.24680288 rounded to 4 dps? -0.2468 Round 252501 to the nearest ten thousand. 250000 Round 0.0047305367 to 4 dps. 0.0047 Round -0.972573 to three decimal places. -0.973 Round -0.000211827 to seven dps. -0.0002118 Round -0.042634 to two decimal places. -0.04 What is 0.0452756 rounded to 4 dps? 0.0453 Round 0.0042929317 to five dps. 0.00429 Round 22157.2 to the nearest 100. 22200 Round -1318.2 to the nearest one hundred. -1300 What is -391666 rounded to the nearest ten thousand? -390000 What is -0.035089 rounded to two decimal places? -0.04 What is 0.00041417701 rounded to seven dps? 0.0004142 What is -5488.166 rounded to the nearest one thousand? -5000 What is 51070.03 rounded to the nearest one thousand? 51000 Round 11.27837 to the nearest integer. 11 Round -0.00001514857 to 7 decimal places. -0.0000151 Round -0.1378014 to 1 dp. -0.1 Round -6651642 to the nearest 10000. -6650000 Round 0.025207009 to three decimal places. 0.025 What is 0.0020566457 rounded to seven dps? 0.0020566 What is -23326200 rounded to the nearest one hundred thousand? -23300000 What is 1757.9665 rounded to the nearest one thousand? 2000 Round 1614.803 to the nearest one thousand. 2000 Round -0.00081975744 to five decimal places. -0.00082 Round 133130300 to the nearest one million. 133000000 Round -1.947287 to 2 dps. -1.95 Round -761400 to the nearest ten thousand. -760000 Round -0.0011739734 to 4 dps. -0.0012 Round -0.0000799479 to seven decimal places. -0.0000799 Round -475.388 to the nearest integer. -475 What is 1243168.2 rounded to the nearest 100000? 1200000 Round -13122.1623 to the nearest 100. -13100 What is 10914330 rounded to the nearest one million? 11000000 Round -320445500 to the nearest 100000. -320400000 Round -6418100 to the nearest one million. -6000000 Round 52.14948 to two dps. 52.15 What is -1166.298 rounded to the nearest one hundred? -1200 Round 0.02265826 to 2 dps. 0.02 Round -12245.83 to the nearest one hundred. -12200 Round -1.828031 to three dps. -1.828 Round -711625.6 to the nearest 100000. -700000 What is -1981.729 rounded to the nearest 1000? -2000 Round 8593190 to the nearest one hundred thousand. 8600000 Round 0.3618467 to 2 decimal places. 0.36 What is -41518460 rounded to the nearest ten thousand? -41520000 What is -0.00000129665 rounded to 7 dps? -0.0000013 What is -0.023367 rounded to 3 dps? -0.023 Round -5697.7617 to the nearest 10. -5700 What is 2757550 rounded to the nearest 10000? 2760000 What is 0.000652912 rounded to 6 decimal places? 0.000653 What is -263413.91 rounded to the nearest 10000? -260000 What is -984.227 rounded to the nearest one thousand? -1000 What is -10445.3 rounded to the nearest one thousand? -10000 What is -442632.7 rounded to the nearest 100? -442600 What is 8.404537 rounded to two decimal places? 8.4 Round -0.000209233 to 5 dps. -0.00021 Round 42589.1 to the n
{ "pile_set_name": "DM Mathematics" }
, 7457 What are the prime factors of 563975? 5, 17, 1327 List the prime factors of 5725236. 2, 3, 11, 3943 List the prime factors of 289079. 7, 61, 677 List the prime factors of 603178. 2, 191, 1579 List the prime factors of 376220. 2, 5, 13, 1447 List the prime factors of 21098. 2, 7, 11, 137 List the prime factors of 101103. 3, 67, 503 List the prime factors of 3078785. 5, 17, 29, 1249 List the prime factors of 1006974. 2, 3, 43, 1301 What are the prime factors of 2503736? 2, 312967 List the prime factors of 455012. 2, 19, 5987 What are the prime factors of 1771997? 19, 93263 What are the prime factors of 15987639? 3, 307, 17359 List the prime factors of 420922. 2, 210461 What are the prime factors of 3615389? 3615389 List the prime factors of 3047964. 2, 3, 17, 67, 223 List the prime factors of 712183. 712183 What are the prime factors of 1489611? 3, 67, 7411 List the prime factors of 1632544. 2, 17, 3001 List the prime factors of 1353298. 2, 676649 List the prime factors of 7444447. 19, 467, 839 List the prime factors of 1065577. 17, 19, 3299 What are the prime factors of 39411651? 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7, 283, 1109 What are the prime factors of 1603295? 5, 320659 List the prime factors of 3815072. 2, 17, 7013 List the prime factors of 2131122. 2, 3, 7, 50741 List the prime factors of 1582310. 2, 5, 158231 List the prime factors of 3675032. 2, 23, 19973 List the prime factors of 148630. 2, 5, 89, 167 List the prime factors of 5304550. 2, 5, 277, 383 What are the prime factors of 293043? 3, 23, 31, 137 List the prime factors of 3494022. 2, 3, 7, 23, 3617 List the prime factors of 104814. 2, 3, 647 What are the prime factors of 2850378? 2, 3, 271, 1753 List the prime factors of 1568066. 2, 61, 12853 List the prime factors of 1193302. 2, 11, 4931 List the prime factors of 152515. 5, 11, 47, 59 What are the prime factors of 3677010? 2, 3, 5, 23, 73 List the prime factors of 197777. 23, 8599 List the prime factors of 144146. 2, 72073 List the prime factors of 1915114. 2, 957557 List the prime factors of 22853. 22853 What are the prime factors of 2561788? 2, 197, 3251 List the prime factors of 42155255. 5, 8431051 List the prime factors of 9601745. 5, 19, 53, 1907 What are the prime factors of 1275488? 2, 23, 1733 What are the prime factors of 493914? 2, 3, 263, 313 What are the prime factors of 153501? 3, 19, 2693 What are the prime factors of 22347985? 5, 11, 406327 What are the prime factors of 11237561? 17, 173, 3821 List the prime factors of 3206203. 7, 11, 13, 3203 List the prime factors of 1678258. 2, 239, 3511 List the prime factors of 193174. 2, 96587 List the prime factors of 1541247. 3, 513749 List the prime factors of 3361539. 3, 1120513 What are the prime factors of 25930851? 3, 2609, 3313 List the prime factors of 312916. 2, 78229 What are the prime factors of 3167737? 19, 166723 What are the prime factors of 348690? 2, 3, 5, 59, 197 What are the prime factors of 576485? 5, 7, 13, 181 What are the prime factors of 2724342? 2, 3, 31, 97, 151 List the prime factors of 108217. 108217 List the prime factors of 4959748. 2, 83, 14939 List the prime factors of 12591849. 3, 17, 246899 What are the prime factors of 8850303? 3, 7, 11, 43 List the prime factors of 7606406. 2, 3803203 What are the prime factors of 4558936? 2, 19, 89, 337 List the prime factors of 1022787. 3, 23, 61 What are the prime factors of 7854028? 2, 7, 13, 21577 List the prime factors of 272704. 2, 4261 List the prime factors of 121331. 7, 17333 What are the prime factors of 4113286? 2, 17, 311, 389 List the prime factors of 4376946. 2, 3, 7, 23, 197 List the prime factors of 49801. 49801 What are the prime factors of 3067460? 2, 5, 11, 73, 191 List the prime factors of 239913. 3, 19, 23, 61 List the prime factors of 1102647. 3, 7, 13, 577 What are the prime factors of 26418801? 3, 41, 214787 List the prime factors of 1564717. 7, 11, 2903 List the prime factors of 511816. 2, 63977 What are the prime factors of 4300399? 37, 71, 1637 List the prime factors of 1804926. 2, 3, 300821 What are the prime factors of 13987899? 3, 281, 5531 List the prime factors of 147369. 3, 49123 What are the prime factors of 950172? 2, 3, 79181 What are the prime factors of 157572? 2, 3, 1459 List the prime factors of 211021. 17, 12413 What are the prime factors of 1421651? 7, 11, 37, 499 What are the prime factors of 18685423? 18685423 What are the prime factors of 122525? 5, 13, 29 List the prime factors of 2911567. 37, 78691 What are the prime factors of 4466252? 2, 7, 22787 List the prime factors of 29379327. 3, 1069, 9161 List the prime factors of 7256814. 2, 3, 1209469 What are the prime factors of 101468? 2, 25367 List the prime factors of 629459. 17, 61, 607 List the prime factors of 4548708. 2, 3, 29, 4357 What are the prime factors of 773553? 3, 11, 2131 What are the prime factors of 592740? 2, 3, 5, 37, 89 What are the prime factors of 247916? 2, 61979 What are the prime factors of 6013738? 2, 709, 4241 List the prime factors of 226753. 226753 List the prime factors of 172788. 2, 3, 7, 11, 17 List the prime factors of 312725. 5, 7, 1787 What ar
{ "pile_set_name": "DM Mathematics" }
. Let y(c) = -20*c - 5. Let a be y(x). Suppose -6 - a*u**3 + 15*u + 30*u**4 - 16*u**5 + 5*u**3 + 7*u**5 = 0. Calculate u. -2/3, 1 Let x = 13 + -10. Factor -3*k**x + 8*k**2 - 3*k + k**3 + 0*k**2 - 3*k. -2*k*(k - 3)*(k - 1) Suppose -6*k**3 - 344/3*k + 52*k**2 - 2/3*k**4 + 80 = 0. Calculate k. -15, 2 Let i = -2878 + 2882. What is s in 0 - 4/3*s**2 + 2/3*s**5 + 2*s + 4/3*s**i - 8/3*s**3 = 0? -3, -1, 0, 1 Suppose 4*a**3 + a**5 - 4*a - 6*a + 2*a**2 + 5*a + 2 - a**4 - 3*a**4 = 0. Calculate a. -1, 1, 2 Factor -120*w**2 + 110*w**3 - 13*w**5 - 40*w**4 - 28*w**5 + 46*w**5 + 45*w. 5*w*(w - 3)**2*(w - 1)**2 Let g be 2*-1 + (1760/108 - 14). Let z(r) be the first derivative of 4/9*r**2 - 7/18*r**4 + 0*r + 2 - g*r**3 - 4/45*r**5. Solve z(j) = 0 for j. -2, 0, 1/2 Let x(n) = -n**3 - n**2 - 2*n. Let a be x(-2). Suppose 0 = -0*f - 4*f + a. Factor -3*y**4 + 2*y**5 - f + 2 + y**4. 2*y**4*(y - 1) Suppose -5/8*b**4 + 13/8*b**2 - 9/8*b**3 - 1 + 3/8*b**5 + 3/4*b = 0. Calculate b. -4/3, -1, 1, 2 Let p = 4 - 1. Suppose -7*y + 24 = -p*y. Factor 0*b**4 + y*b**2 - 4*b**2 + 2*b**4 - 4*b**3. 2*b**2*(b - 1)**2 Let x be 2 - ((-2)/(-7) - 60/(-35)). Let l(r) be the first derivative of -2*r**2 - 7/4*r**4 + 2 - 16/3*r**3 + x*r. Factor l(t). -t*(t + 2)*(7*t + 2) Let v(j) be the first derivative of -j**5/35 + 3*j**4/28 + 23*j**3/21 + 33*j**2/14 + 2*j + 356. Factor v(c). -(c - 7)*(c + 1)**2*(c + 2)/7 Let t = 7 - 2. Suppose -7 = t*p - 17. Factor 8 + 67*k + 189*k**p - 4*k**2 + 153*k**2 - 171*k. 2*(13*k - 2)**2 Let j be ((-234)/(-5) - 4)*-5. Let n = -640/3 - j. Factor -n*z**2 + 1/3*z + 0 + 1/3*z**3. z*(z - 1)**2/3 Let n(b) be the second derivative of -1/42*b**4 - 1/42*b**3 + 0 - 37*b + 5/7*b**2. Solve n(l) = 0. -5/2, 2 Suppose 99/5*g - 6*g**3 - 6/5*g**4 + 54/5 + 24/5*g**2 + 3/5*g**5 = 0. Calculate g. -2, -1, 3 Let v(y) be the third derivative of y**5/20 + 5*y**4/8 + 3*y**3 - 4*y**2 - 26*y. What is a in v(a) = 0? -3, -2 Suppose 0 = s + 5*s - 18. Suppose -2*d + s*d + 0*d = 0. Factor d - 2/9*f + 2/9*f**3 + 0*f**2. 2*f*(f - 1)*(f + 1)/9 Let s(x) = 9*x**3 + 133*x**2 + 38*x - 8. Let p(f) = 46*f**3 + 664*f**2 + 190*f - 44. Let a(o) = 6*p(o) - 33*s(o). Factor a(l). -3*l*(l + 19)*(7*l + 2) Let w(d) be the third derivative of 0*d + 0 - 9*d**2 - 1/450*d**5 + 1/180*d**4 + 0*d**3. Factor w(l). -2*l*(l - 1)/15 Let a(d) be the third derivative of d**8/784 - d**7/98 - d**6/35 + 3*d**5/35 - 2*d**2 - 33. Suppose a(p) = 0. Calculate p. -2, 0, 1, 6 Let p(v) be the first derivative of v**6/120 + 3*v**5/20 - 7*v**4/8 - 22*v**3/3 - 15. Let m(a) be the third derivative of p(a). What is g in m(g) = 0? -7, 1 Let s = -28 + 16. Let a = s - -26. Let 6 - a*g**2 - 12*g**2 - 2*g**2 + g**2 + 15*g + 21*g**4 - 15*g**3 = 0. What is g? -1, -2/7, 1 Suppose 0 = -4*c - 0*c + 5*t + 24, 2*t - 24 = -4*c. Suppose -9*o = -0*o - c*o. Factor 2*y**2 + 0*y + o - 2/3*y**3. -2*y**2*(y - 3)/3 Let j(c) be the first derivative of -3*c**4/4 - 6*c**3 - 15*c**2/2 - 675. Factor j(k). -3*k*(k + 1)*(k + 5) Let n(m) = m**3 - 83*m**2 + 161*m + 83. Let x be n(81). Factor 3*r**4 - 3*r**x - 5/2*r + 0 + 2*r**3 + 1/2*r**5. r*(r - 1)*(r + 1)**2*(r + 5)/2 Suppose 33*j - 40*j = -12*j + 15. What is k in 4/9*k**4 + 0 + 8/9*k**2 + 0*k - 4/3*k**j = 0? 0, 1, 2 Let y be (3/(-2))/(36/(-96)). Factor y*u**4 - u**5 - u**5 - 2*u**2 + 4*u**2 + 2*u**3 - 6*u**4. -2*u**2*(u - 1)*(u + 1)**2 Let a(w) be the third derivative of -w**5/210 - 16*w**4/21 - 1024*w**3/21 + 118*w**2. Let a(m) = 0. What is m? -32 Let f be (-194)/(-22) + 26/143. Factor -h + 3*h + 8 - 6*h**2 - h - f*h. -2*(h + 2)*(3*h - 2) Let l(s) = -40*s - 38. Let j be l(-1). Let a(i) be the first derivative of 5/6*i**4 + 0*i + 8/15*i**5 + 0*i**j + 4/9*i**3 + 1/9*i**6 + 3. Factor a(y). 2*y**2*(y + 1)**2*(y + 2)/3 Let k = -6/577 - -1292/13271. Factor -2/23*c**5 + 0 + 0*c**2 + 0*c**4 + 4/23*c**3 - k*c. -2*c*(c - 1)**2*(c + 1)**2/23 Let l = -4/141 + 149/282. Let y(f) be the first derivative of l*f**4 + 0*f + 14/45*f**5 + 4 + 0*f**2 + 4/27*f**3. Determine v so that y(v) = 0. -1, -2/7, 0 Let r(c) = -3*c**3 - 192*c - 10*c**3 + 204*c + c**2. Let h(g) = 3*g**3 - 3*g. Let z(d) = 9*h(d) + 2*r(d). Let z(l) = 0. Calculate l. -3, 0, 1 Let c(k) = -k**2 - 8*k + 10. Let i(b) = 6*b + 15. Let m be i(-4). Let v be c(m). Find g, given that -v + 3/2*g - 1/2*g**2 = 0. 1, 2 Suppose 4*u = -20, 2*u + 14 = n - 0*n. Let o be 1 - (-6)/(-15)*10/n. Factor 2/3*d**2 - 1/3*d**4 + 0*d + o - 1/3*d**3. -d**2*(d - 1)*(d + 2)/3 Let m be (-112)/(-168) - (-3 + 26/12). Factor -m - k + 1/2*k**2. (k - 3)*(k + 1)/2 Let o(b) be the first derivative of 34*b**3/15 - 11*b**2/5 - 12*b/5 + 141. Factor o(p). 2*(p - 1)*(17*p + 6)/5 Let j(w) be the second derivative of 32/15*w**6 + 4/5*w**5 + 2*w + 2/3*w**7 + 0 - 14/3*w**4 - 22/3*w**3 - 4*w**2. Solve j(n) = 0 for n. -1, -2/7, 1 Find s such that 3/5*s**4 - 6/5*s**2 + 11/5*s**3 + 0 - 8/5*s = 0. -4, -2/3, 0, 1 Let o be (-636)/30 - 1/(5/4). Let t = -20 - o. Find p such that -8/7*p + 8/7 + 2/7*p**t = 0. 2 Let j(s) be the first derivative of 2*s**5/45 - 7*s**4/18 - 2*s**3/9 + 55*s**2/9 + 100*s/9 + 957. Factor j(w). 2*(w - 5)**2*(w + 1)*(w + 2)/9 Let i(a) = -2*a**4 - 264*a**3 + 8448*a**2 + 17692*a + 8978. Let c(b) = 3*b**4 + 264*b**3 - 8449*b**2 - 17693*b - 8978. Let r(q) = -4*c(q) - 5*i(q). Factor r(z). -2*(z - 67)**2*(z + 1)**2 Suppose 5*o - 8 = o. Let l(m) = -2*m**3 + 2*m**2 - m - 3. Let g be l(-1). What is k in 3*k + 4*k**g - o*k - 5*k = 0? 0, 1 Suppose 13*z + 6*z = 9*z. Let m(j) be the second derivative of 1/12*j**3 + 1/48*j**4 + z + 3*j + 0*j**2. Factor m(a). a*(a + 2)/4 Suppose -4*v = 3*x - 28, 16*x + 2*v = 12*x + 24. Suppose -2/3*j**2 + 4/9 - 2/9*j**3 + 2/9*j + 2/9*j**x = 0. Calculate j. -1, 1, 2 Let f(j) be the first derivative of -j**7/280 + j**5/10 + 8*j**3/3 - 3*j + 16. Let u(q) be the third derivative of f(q). What is d in u(d) = 0? -2, 0, 2 Let y(q) be the first derivative of -q**5/15 + q**4 - 16*q**3/3 + 7*q**2/2 - 28. Let c(f) be the second derivative of y(f). Find v, given that c(v) = 0. 2, 4 Factor -1/6*j**5 - 61/6*j**3 + 0 - 6*j + 14*j**2 + 7/3*j**4. -j*(j - 6)**2*(j - 1)**2/6 Let w(y) be the first derivative of 5 + 1/27*y**3 + 1/108*y**4 + 0*y - 1/540*y**6 - 2*y**2 - 1/270*y**5. Let t(h) be the second derivative of w(h). Factor t(i). -2*(i - 1)*(i + 1)**2/9 Let b(z) be the third derivative of z**8/33600 + z**7/3150 - 11*z**4/6 + 3*z**2. Let r(p) be the second derivative of b(p). Factor r(o). o**2*(o + 4)/5 Let b(w) be the third derivative of 0*w**3 + 1/10*w**5 + 0*w + 31*w**2 - 1/40*w**6 + 0*w**4 + 0. Factor b(j). -3*j**2*(j - 2) Let x(g) = 3*g**4 + 12*g**3 + 3*g**2 - 32*g - 18. Let j(p) = 14*p**4 + 49*p**3 + 12*p**2 - 130*p - 71. Let i(q) = 2*j(q) - 9*x(q). Let i(h) = 0. What is h? -1, 2, 10 Let o(x) be the first derivative of 2*x**5/5 - 19*x**4 + 214*x**3 + 760*x**2 + 800*x + 39. Factor o(v). 2*(v - 20)**2*(v + 1)**2 Factor -2/3*l**3 + 50*l**2 + 0*l + 0. -2*l**2*(l - 75)/3 Let z = -19 + 15. Let m(v) = v**4 - 4*v**3 + 3*v**2 + 4*v + 4. Let s(c) = -2*c**4 + 4*c**3 - 4*c**2 - 5*c - 5. Let d(a) = z*s(a) - 5*m(a). Factor d(o). o**2*(o + 1)*(3*o + 1) Let m = -32 + 34. Factor -14*a**2 - 2*a**3 + 34*a**m - 4*a**3 + a**3 + 25*a. -5*a*(a - 5)*(a + 1) Let b(k) = 8*k**2 + 41*k + 15. Let t(m) = 23*m**2 + 122*m + 45. Let f(u) = 17*b(u) - 6*t(u). Let d be f(-17). Let 8/11 - 8/11*y + 2/11*y**d = 0. What is y? 2 Suppose -3*b - 8 = -5*b. Suppose -t = 2*j + 3*j + 19, -4*j - 20 = -b*t. Factor 4*d + d**2 + 0*d**2 + t - 2*d. (d + 1)**2 Determine j so that -624*j - 90 + 25*j**2 - j**2 - 84*j**4 + 40 + 844*j**3 - 142 + 32 = 0. -2/3, -2/7, 1, 10 Let y(o) be the first derivative of 3/7*o**4 + 2/35*o**5 + 10/7*o**2 + 17 + 6/7*o + 8/7*o**3. Let y(j) = 0. Calculate j. -3, -1 Let g(r) be the second derivative of 17*r - 3/8*r**5 + 5/4*r**3 + 65/72*r**4 - 11/36*r**6 - 5/6*r**2 + 0. Suppose g(a) = 0. Calculate a. -1, 2/11, 1 Let u(k) be the second derivative of k**5/4 - 235*k**4/12 - 5*k**3/6 + 235*k**2/2 - 182*k - 1. Factor u(q). 5*(q - 47)*(q - 1)*(q + 1) Suppose c = 5*p - 15, -25 = 6*p - 11*p - c. Let t(x) be the third derivative of 0*x - 1/120*x**5 - 6*x**2 + 0 + 0*x**p + 1/3*x**3. Solve t(n) = 0. -2, 2 Let z = -18 + 20. Suppose 3 = s - u - 1, -z*s + u = -13. Suppose -5*n**4 - 3*n**4 + 29*n**3 - 13*n**3 + 8*n**2 - 4*n - 3*n**
{ "pile_set_name": "DM Mathematics" }
i and 3 have the same value? False Suppose -4*b = 5*w + 12, -4*b + 8 = 4*w + 20. Let i = 1 - b. Let l be (-11)/(-44) - 1/i. Which is smaller: -2/31 or l? -2/31 Let g(a) = 50 + 3*a**2 - 4*a**2 - 37 - 11*a. Let k be g(-13). Do k and -14 have the same value? False Let y be (2/(-44))/(5 + (-6017)/1188). Which is greater: 2 or y? 2 Let v be 4 - 5/(-135)*-87. Is 1 at most as big as v? False Let d = -50474/445 - -566/5. Is -1 greater than d? False Suppose -3614 - 7736 = 25*m. Is -454 > m? False Let h = 11478/175 + -458/7. Which is smaller: -1 or h? -1 Suppose 0 = -2*m + 4*m - 5*h + 137, -5*h = -3*m - 203. Let s = m - -67. Are s and 0.1 unequal? True Let j be 4/4 + 3*9. Suppose -266 = -16*q + 182. Is j at least q? True Suppose -6*m + 40 = -32. Let f = m - 11. Suppose -c = 2*a - 2, -6*c = -3*c - 3*a + 3. Are f and c non-equal? True Let n = 121 + -359. Do n and -238 have different values? False Let v be 13/(65/10) + 13. Are v and 9 nonequal? True Let g(v) = 6*v**2 - 33*v - 4. Let j be g(9). Is 185 at least as big as j? True Suppose 1800 = -25*z + 21*z. Is -450 at least as big as z? True Let a = 3.05 - -0.05. Let z = -3 + a. Which is smaller: 60 or z? z Let a = -256/979 - 1/89. Let b(i) = i - 3. Let p be b(7). Suppose w = p*w. Which is greater: a or w? w Let u = 52 - 48. Let w be u/4*(-1)/(-1). Is w <= 4/25? False Let h(t) = -15*t**2 + 2. Let g be h(1). Let c(y) = y**3 - 6*y**2 - y - 3. Let j be c(7). Suppose f - j = 3*o, -5*o + 4*f - 63 = 3*f. Which is greater: g or o? o Suppose -20*j + 161 = 1. Suppose 0 = -3*z + 5*m - 16, -5*z + 2*m - 48 - 4 = 0. Let w be z/(4 - j) + 0. Is 5 < w? False Suppose -2*q - f + 3*f - 32 = 0, -2*q = -f + 32. Is q greater than -16? False Let m = -299 - -326. Do 30 and m have different values? True Let m = -1 + 4. Suppose m*g - g - 10 = 0. Let o = 8 - 10. Which is smaller: o or g? o Suppose c = 3*j - c + 1, 4*j + 2*c - 22 = 0. Suppose -7 = -2*l + 5*i, j*i + i = 4. Does l = 7? False Suppose 0 = -3*z + 3*h + 126, 12*z - 8*z + 4*h - 144 = 0. Does z = 119/3? False Let l(y) = -y - 5. Let r be l(-9). Suppose -r*c - 320 = -8*c. Suppose -3*h - c = 2*h. Do -16 and h have different values? False Let g = 80 + -157/2. Is g greater than 8? False Let h = 24 + -8. Suppose h = 3*s + s. Suppose 0 = -0*t + 4*t + s. Which is greater: t or -3/11? -3/11 Let q(d) = 6*d**2 + 4*d + 3. Let l be q(-1). Suppose 2*c - 4*u - 4 = 6*c, l = -c - 2*u. Is c bigger than -3? True Let x(b) = b + 8. Let c be x(-5). Let y(p) = -1 - 2 + 2*p**2 - 8*p + 10 - p**c + 4*p**2. Let i be y(5). Which is smaller: i or -6? i Let h = -2635 - -5513/2. Let s = -121 + h. Which is smaller: 1 or s? s Suppose -6*h = -2*h - 16. Let o be 2 - -1 - (-4)/(-1). Let p be 0 - (-4 + 5)*o. Which is smaller: p or h? p Suppose -4*m - 3*r - 1195 = 0, 19*r - 21*r = -6. Is -301 <= m? True Let s(q) = -2*q**2 + 16*q + 3. Let r be s(8). Let j be 4 - (143*(-3)/(-63) - r). Which is smaller: -1 or j? -1 Let i(z) be the third derivative of 3*z**2 + 0*z + 0 - 1/2*z**3 + 1/24*z**4. Let r be i(5). Which is smaller: 1 or r? 1 Let v = 168/37 - 4320/1147. Are 2 and v equal? False Let p = -3.06 + 3. Let n = 4.09 - -203.91. Let l = -209 + n. Does l = p? False Let x = 7114/7 + -1330290/1309. Which is smaller: -1 or x? -1 Let d be ((-18)/15)/((-6)/(-80)). Let m be 0 + (-812)/d - (-1)/4. Is m greater than 50? True Let k = 10519070/679 + -15492. Which is bigger: k or 1? 1 Let s be (-18)/10 + 4/(-20). Let b(v) = -v**3 + 2*v**2 - 3*v + 3. Let g be b(6). Let u be 4/14 - g/(-189). Is s bigger than u? False Let r be ((-6)/(-10))/(7/35). Let f be 4 - r*57/9. Is -16 less than f? True Let f(g) = 4*g**2 + 20*g - 14. Let z be 12/(-9)*((-28)/(-8) - -1). Let t be f(z). Which is greater: t or 8? t Let w = -2427/7 + 372. Is 24 at most w? True Let q = 160 - 111. Let t = 50 - q. Which is bigger: t or 13? 13 Let m = 117 + -116.887. Let n = -2.887 - m. Is -11 less than n? True Let t be 10/(((-16)/780)/(28/(-70))). Are t and 195 nonequal? False Let o be 8/(-4 + 8) + (-1 - 1). Which is smaller: -34/41 or o? -34/41 Let z(f) = -8*f**2 + f. Let y be z(-1). Suppose -7*w - 34 = -104. Let q = w + y. Is 2/31 < q? True Let o = 145 + -161. Let p be (-3)/(-9) - 20/6. Is o < p? True Suppose 0 = 2*d + d. Suppose -4*c = -d*c - 16. Let x(b) = b**2 + b - 7. Let r be x(-4). Which is smaller: c or r? c Let p = -46/5 + 38/5. Is p <= -3? False Let y(i) = -i**3 - 17*i**2 + 6. Let c be y(-17). Suppose 3*q + 2*k - c = 7, 2*k = 10. Which is smaller: q or 3/7? 3/7 Let o = 20 - 16. Let m be 3*(2 - (-3 + o)). Suppose 0 = -4*b + 4, m*b - 2 - 5 = -4*c. Which is greater: c or -1/4? c Let k be (-20)/(-5) + 36/(-10). Let w be 1 + (2/(-7) - (-5)/(-7)). Are k and w nonequal? True Suppose -5*y + 0*y = -85. Suppose 3*d - y = 2*b, 0*b + 3*b = d - 36. Let g(f) = -5*f**2 + f + 6. Let a be g(2). Which is greater: b or a? a Let z = -563.43 - -606.6. Let f = z + -0.17. Let r = f - 65. Which is smaller: r or 1? r Let p be 6 - (-66)/(-4) - -3 - -8. Is p at most -632? False Let p be 3/(7 - (-132)/(-24)). Let l(x) be the first derivative of -x**3/3 + 2*x**2 + 1. Let q be l(4). Is p greater than or equal to q? True Let l = 6.57 + -6.5. Let x = -1.04 + -0.16. Let n = 0.2 + x. Which is greater: n or l? l Suppose 7 - 32 = -5*l. Let c be ((-25)/2)/l*2. Is -4 < c? False Suppose 0 = 4*a - 4*o - 648, 7*a + 2*o = 6*a + 150. Which is greater: 156 or a? a Suppose -3*w + 85 = -4*p, -5*p + 6*w - 3*w - 110 = 0. Let z = p - -203/8. Which is smaller: z or 0? 0 Let q(s) = s**2 - 20*s + 20. Let y be q(18). Let n = -0.03 + 0.03. Which is bigger: n or y? n Suppose 0 = 6*t - 5*t - 2. Suppose q = 3*f + 1 + t, -3 = -q + 4*f. Which is smaller: q or -2? -2 Let z be (-3 - 0)*((-1138)/(-6) - -2). Let o be (30/z)/(1*2/(-5)). Is 1 smaller than o? False Let x = -2 - -7. Suppose 0 = x*o - 9 - 6. Let c be 1*2/o*-3. Is c bigger than -4? True Let x = 753 + -759.98. Let p = x + -0.02. Let v = p + 7.2. Is v less than -0.2? False Suppose 16 = -y - 3*y. Let p = 0.234 - -0.166. Which is smaller: p or y? y Suppose -2*n = 4*a - 28, a + 5*n - 30 = -a. Suppose 0 = -a*m + 5*f + 15, 2*m = 4*m + 3*f - 26. Which is smaller: m or 9? m Suppose m = 2*p + 5, -p + 2*m - 6 = -2*m. Which is smaller: p or -9? -9 Let x be (-282)/9*(0 - (-41)/(-3)). Let p = x - 429. Which is bigger: p or -2? p Suppose -55 = -5*n + t, -5*n - 5*t - 8 = -33. Is 93/10 less than or equal to n? True Let k(o) = 0 + 2 - o - 4. Let y = 18 - 19. Let f be k(y). Is f > -2/11? False Let b = 2 - 2. Let s = 21.1 + -19.8. Is b at most s? True Suppose 3*u = 6 + 12. Suppose -u*w = -w - 2*j - 73, 4*j = 4*w - 56. Suppose g = -13*g + 182. Are w and g nonequal? True Let s(j) = -j**3 + 3*j**2 - 2*j. Let b be s(0). Which is bigger: b or 8/23? 8/23 Let b = -0.154 - 25.846. Is 0.1 less than or equal to b? False Let i = -273 - -324. Which is smaller: 53 or i? i Suppose 0 = -5*g - 2*g - 35. Which is bigger: g or -10? g Let m = 1/98 - -55/98. Suppose -4*h + 5*h + 16 = 0. Let d be (-6)/(-21) - h/42. Is d greater than m? True Let y be (11615/26 + 2)/(-61 + -2). Let k = y + 99/14. Is k greater than 1? False Suppose -1 - 25 = 13*r. Let v(b) = -b**3 + 9*b**2 - 6*b - 11. Let a be v(8). Suppose -l - a = -3. Are r and l equal? True Let y be 2 + 1414/132 + 6/(-11). Which is smaller: 11 or y? 11 Let j be (76/57)/((-4)/21). Which is bigger: 5 or j? 5 Let h = -91 - -98. Does 7 = h? True Let h = 159 + -158.9. Let z(c) = 4*c**3 - c**2 - 2*c - 3. Let y be z(-2). Is h bigger than y? True Let s = -3907 - -3232. Is -674 smaller than s? False Let y be ((-4)/3)/4*33. Let o(w) = w**3 + 10*w**2 - 12*w - 7. Let m be o(y). Which is smaller: 3 or m? 3 Let r(o) = 7*o + 3*o - 3*o + 3 - 3*o. Let h(v) = -17*v - 11. Let b(n) = 2*h(n) + 9*r(n). Let a be b(-5). Is -5 bigger than a? False Let u be 2/(-5)*(-10 + 600/56). Let y be 4 + -20 - 3*-1. Is u smaller than y? False Let b be ((-210)/224)/(188/(-88) + 2). Which is greater: 7 or b? 7 Let x(m) = 5*m**3 - 1. Let r be x(-1). Let g(n) = -n**3 - 6*n**2 + 5. Let f be g(r). Suppose -f*a + 2 = c, 2*a + 8 = -3*a + 4*c. Which is smaller: -4/3 or a? -4/3 Suppose -o + 2*g = 157, -841 = 5*o + g + 3*g. Let k = -46 - -32. Let p be 4/k*(-11)/o. Is -1 greater than p? False Let g be 0 + (-548)/(-276) + -2. Which is smaller: g or 0? g Let q be ((-3)/(-48))/((-3352)/(-560) -
{ "pile_set_name": "DM Mathematics" }
voooohu? 2/55 What is prob of sequence kok when three letters picked without replacement from {k: 2, v: 7, o: 3}? 1/220 What is prob of sequence sqp when three letters picked without replacement from {p: 2, w: 1, g: 2, s: 1, q: 2}? 1/84 What is prob of sequence eefe when four letters picked without replacement from eyeeyyyeeeyyeeffe? 3/170 Calculate prob of sequence dodd when four letters picked without replacement from {o: 1, i: 2, d: 11}. 15/364 Calculate prob of sequence wnh when three letters picked without replacement from wjjjwhn. 1/105 What is prob of sequence xwb when three letters picked without replacement from {x: 1, w: 2, b: 2}? 1/15 Four letters picked without replacement from ewmimxiimeueww. Give prob of sequence ewux. 3/8008 Calculate prob of sequence zzz when three letters picked without replacement from {m: 4, z: 7}. 7/33 Calculate prob of sequence yhhh when four letters picked without replacement from hhhhhyhhhhhhh. 1/13 Calculate prob of sequence ee when two letters picked without replacement from vvevvvvvvveeve. 6/91 Calculate prob of sequence oo when two letters picked without replacement from {r: 4, q: 7, o: 4}. 2/35 What is prob of sequence tqt when three letters picked without replacement from gttttgaqataqtatqx? 21/680 What is prob of sequence dd when two letters picked without replacement from dwdddddd? 3/4 Calculate prob of sequence vv when two letters picked without replacement from {v: 4}. 1 Four letters picked without replacement from nddddnkkkd. Give prob of sequence nkdk. 1/84 Calculate prob of sequence dud when three letters picked without replacement from dkuuukdukkuu. 1/110 Three letters picked without replacement from pujukkjajaaaahukua. What is prob of sequence kau? 1/68 Four letters picked without replacement from {y: 6, n: 3, p: 5, c: 1, z: 2}. What is prob of sequence pczp? 1/1428 What is prob of sequence xtxt when four letters picked without replacement from pqtpcxkk? 0 Two letters picked without replacement from wwwwswswsswsssxkx. What is prob of sequence ws? 49/272 Calculate prob of sequence zddo when four letters picked without replacement from {z: 12, o: 3, d: 3}. 1/340 Calculate prob of sequence vo when two letters picked without replacement from virrvov. 1/14 Calculate prob of sequence uuu when three letters picked without replacement from {u: 6, i: 4, g: 1, k: 3}. 5/91 Two letters picked without replacement from adiadaidddiddaaiiada. Give prob of sequence ia. 7/76 Four letters picked without replacement from bzybbydpb. Give prob of sequence pyzy. 1/1512 Two letters picked without replacement from lhqur. What is prob of sequence lh? 1/20 Two letters picked without replacement from {x: 2, a: 1, e: 2, n: 1}. Give prob of sequence en. 1/15 Calculate prob of sequence wws when three letters picked without replacement from {s: 4, w: 8, f: 4}. 1/15 What is prob of sequence uoqn when four letters picked without replacement from {q: 2, u: 3, o: 3, d: 2, n: 3}? 9/2860 Two letters picked without replacement from bbbu. What is prob of sequence bb? 1/2 Two letters picked without replacement from {e: 1, m: 4, v: 1, b: 5}. What is prob of sequence eb? 1/22 What is prob of sequence svss when four letters picked without replacement from {s: 6, r: 4, w: 1, v: 1, d: 2, y: 1}? 1/273 Calculate prob of sequence mmq when three letters picked without replacement from {m: 5, q: 13}. 65/1224 What is prob of sequence smss when four letters picked without replacement from ssssssmsssssssssss? 1/18 What is prob of sequence tztz when four letters picked without replacement from {v: 6, r: 1, z: 4, t: 6}? 3/476 Four letters picked without replacement from {d: 3, q: 1, e: 1}. Give prob of sequence deqd. 1/20 Four letters picked without replacement from {i: 9, m: 5}. What is prob of sequence miim? 60/1001 Calculate prob of sequence lfd when three letters picked without replacement from uqdzfdl. 1/105 Three letters picked without replacement from {t: 5}. Give prob of sequence ttt. 1 Two letters picked without replacement from hsytggs. Give prob of sequence ss. 1/21 What is prob of sequence tvz when three letters picked without replacement from {v: 8, c: 2, z: 2, q: 5, t: 1}? 1/306 Three letters picked without replacement from mlmmvmllmmmmvmmmmm. Give prob of sequence mlm. 13/136 Calculate prob of sequence ne when two letters picked without replacement from {e: 2, n: 10}. 5/33 Three letters picked without replacement from {v: 1, d: 3, y: 1, t: 1, w: 5}. What is prob of sequence ddd? 1/165 Calculate prob of sequence eevv when four letters picked without replacement from {v: 7, e: 7}. 21/286 What is prob of sequence iig when three letters picked without replacement from gqqigqqggqiqggqgig? 1/102 Two letters picked without replacement from {f: 1, z: 1, a: 1, g: 1, h: 4}. What is prob of sequence zf? 1/56 Three letters picked without replacement from ltttsotullt. What is prob of sequence llo? 1/165 What is prob of sequence lv when two letters picked without replacement from qhhlwvh? 1/42 What is prob of sequence xhh when three letters picked without replacement from zhhxzzxz? 1/84 Four letters picked without replacement from ldldldlqhlldmhm. Give prob of sequence dhhh. 0 Three letters picked without replacement from tiitizttiiiiziii. What is prob of sequence iiz? 3/56 Three letters picked without replacement from wwwwryywwrwywwwww. Give prob of sequence wrw. 11/170 Three letters picked without replacement from xxxxxxppxxxxxxxxxx. What is prob of sequence ppx? 1/153 Calculate prob of sequence pw when two letters picked without replacement from {n: 3, w: 1, p: 4}. 1/14 Three letters picked without replacement from {j: 6, a: 2}. What is prob of sequence aaj? 1/28 What is prob of sequence dk when two letters picked without replacement from {k: 5, v: 3, d: 1, p: 1, c: 2}? 5/132 Two letters picked without replacement from {i: 1, h: 1, j: 3, n: 2}. What is prob of sequence hi? 1/42 Two letters picked without replacement from ccjcjc. What is prob of sequence cj? 4/15 Calculate prob of sequence euwe when four letters picked without replacement from {w: 3, u: 3, y: 5, e: 2, o: 7}. 1/6460 Two letters picked without replacement from ycyccccy. What is prob of sequence cy? 15/56 What is prob of sequence ghcv when four letters picked without replacement from {g: 1, v: 1, s: 5, q: 3, h: 5, c: 3}? 1/4896 Three letters picked without replacement from {r: 1, k: 1, x: 4, i: 1, y: 1}. What is prob of sequence kry? 1/336 What is prob of sequence cfc when three letters picked without replacement from cfccffutfu? 1/30 Four letters picked without replacement from kukkukuukk. What is prob of sequence uuuk? 1/35 Two letters picked without replacement from pgpggpgpgpgggggg. What is prob of sequence pg? 11/48 What is prob of sequence opp when three letters picked without replacement from {p: 2, o: 7}? 1/36 Three letters picked without replacement from {s: 2, f: 1, w: 2, j: 1, e: 1, h: 1}. Give prob of sequence shf. 1/168 Calculate prob of sequence mmc when three letters picked without replacement from {k: 3, u: 9, m: 1, c: 2, g: 3}. 0 Two letters picked without replacement from {e: 4, q: 2, o: 1, h: 1}. What is prob of sequence eo? 1/14 Three letters picked without replacement from {g: 3, a: 1, j: 3}. Give prob of sequence jgj. 3/35 What is prob of sequence on when two letters picked without replacement from {b: 1, a: 3, n: 4, o: 1, d: 1, t: 2}? 1/33 What is prob of sequence vqpv when four letters picked without replacement from jjttjvqqjttpjjppjv? 1/6120 Four letters picked without replacement from ffuuffuuuffu. Give prob of sequence ufuf. 5/66 Two letters picked without replacement from {n: 1, g: 2, w: 3, v: 6, t: 5}. Give prob of sequence vn. 3/136 What is prob of sequence zshn when four letters picked without replacement from {g: 2, h: 2, n: 1, z: 2, o: 4, s: 1}? 1/2970 Calculate prob of sequence mm when two letters picked without replacement from jmjjm. 1/10 Four letters picked without replacement from {z: 3, q: 13}. What is prob of sequence qqzq? 33/280 Calculate prob of sequence lr when two letters picked without replacement from {y: 1, l: 1, i: 4, v: 1, r: 2}. 1/36 Calculate prob of sequence ggs when three letters picked without replacement from {g: 2, p
{ "pile_set_name": "DM Mathematics" }
t Let q = -0.8 - 0.2. Let m = 45.989 + 0.011. Let x = 45.6 - m. What is the nearest to 0.1 in 0.5, x, q? 0.5 Let s = 0.92 - 0.22. Let i = 191 + -191.2. What is the nearest to i in s, 0, -1/3? -1/3 Suppose -11 = 4*k + 9. Let g = -4 - -8. Suppose 0 = -4*i + g*l - 24, -14 = 3*i + i - 2*l. What is the nearest to -9 in -2/13, i, k? k Let u(j) = 9*j**2 + 124*j - 27. Let t be u(-14). Which is the nearest to 0? (a) 2/9 (b) t (c) -3.1 a Let u = 2430 + -2429.9. What is the closest to u in 1/6, 1/2, 1? 1/6 Let w = 91.938 + -92. Let q = 0.362 + w. What is the closest to q in -5, -1, 1/3? 1/3 Let h be ((-6)/10)/(-8 - (-34)/5). What is the nearest to h in 3/31, -2/19, 0.3? 0.3 Let i = -13.6 + 14. Let x(u) = -u + 2. Let o be x(-6). Let p be (-14)/(-24) - 2/o. What is the closest to p in i, -0.2, -5? i Let h = 73 - 73.5. Suppose -5*x = -5 + 10. Which is the nearest to -0.3? (a) h (b) x (c) -0.4 c Let t be ((-2)/(-35))/(((-16)/8)/10). What is the closest to 3 in 5, 3/7, t? 5 Let r be (-6)/6 - (-5 + 114/27). Which is the closest to 0.08? (a) 4 (b) -0.1 (c) r b Suppose -s = 4*d - 3, 0 = 3*d - 6*d + 2*s - 6. What is the nearest to 0 in 1, 3, d? d Let d = -136 + 197. What is the nearest to d in 0.3, -4, -1? 0.3 Let k = -269.3 + 268. Let i = 7.2 - 6. Let s = k + i. Which is the nearest to s? (a) 0.2 (b) 6 (c) 2 a Let l be (78/8)/3 + -3. Let s = 0.077 + -7.077. What is the nearest to -2 in s, l, 1? l Let b = -80 - -80.4. What is the nearest to 1 in -1/5, b, -6, -0.3? b Suppose 5*u - 9 = -2*v, -u - 37 = -5*v - 1. Suppose a + v = 4. Let r be 1 - (-2 - -2)/(-1). What is the nearest to 0 in -0.5, a, r? -0.5 Let n = -1.5 + 2. Let b = -195 - -777/4. What is the nearest to b in n, 0.1, 5? 0.1 Let n = -7.31 - -6.81. Which is the closest to -2? (a) 6 (b) n (c) -1 (d) 0 c Let t = -2.35 + 1.95. Which is the closest to 0? (a) -0.3 (b) 5 (c) t a Let p = -4/57 + 203/456. Let v be (-1)/(2 + 23/(-12)). Let w be (-4)/5*3/v. What is the nearest to 1/3 in p, w, 0.5? p Let w be (1/(-7))/(5/(35/(-2))). Suppose -4 = -5*n + 1. What is the nearest to n in 4/5, 4, w? 4/5 Let k(l) = -2*l**2 - 34*l - 8. Let r be k(0). Let y(g) = g**3 - g**2 - g + 1. Let s be y(1). Which is the closest to s? (a) -3 (b) -2 (c) r b Suppose 0 = -28*i + 23*i + 20. Which is the closest to 0? (a) 2/3 (b) 5 (c) i (d) -0.1 d Let t be 16/(-40)*-2*(-4)/(-16). Let s = 0.6 - -1.4. Which is the nearest to 0? (a) t (b) s (c) -4 a Let d = 2.297 - 0.297. Which is the closest to 1? (a) 3/5 (b) 0.4 (c) d a Let d = 2/59 + 55/118. Suppose -48 = -3*r - 3*y, -y = 7 - 2. Suppose -2*p = 5*p - r. Which is the nearest to -1? (a) 0.1 (b) p (c) d a Let d = -0.2442 - -0.2442. Which is the closest to -0.37? (a) d (b) -2/5 (c) -1/6 b Let s be 72/108 + 1/(-3). What is the nearest to 2/7 in 3, 0, s, 2/3? s Suppose 3*d + i + 8 = 0, -2*d - 5*i - 12 = -d. Let h be 2/d*(-8 + 8). Suppose h = 7*n - 8*n - 2. What is the closest to n in -0.5, -0.2, -5? -0.5 Let u = -27.8 + 25.8. Which is the closest to -5? (a) 0.4 (b) -3/7 (c) u c Suppose 6 = -w + 2. Let n be ((-14)/(-28))/((-22)/w). Which is the nearest to n? (a) -0.2 (b) 0.3 (c) 1 b Let s = 19 + -6. Let g = -16 + s. Let l = -0.2 + 0.1. What is the closest to -0.1 in g, l, -1/6? l Let l = 232 + -227. What is the closest to -2/7 in l, -0.3, 8? -0.3 Let s be -5 + (-66)/(-15) + 14/40. Let k = -4 - -7. What is the closest to 0.1 in k, s, -2? s Let i = -683 - -697. Which is the closest to 1/5? (a) i (b) 0.5 (c) 3 (d) -0.2 b Let p = -386 - -1545/4. Which is the nearest to 2? (a) 2/7 (b) -3 (c) p (d) -0.5 a Let u = 38 - 20. Let j = 7254 - 7255. Which is the closest to 0? (a) 1/5 (b) u (c) j a Let z = 4.859 + 0.141. Which is the closest to -2? (a) -3 (b) -0.3 (c) z (d) 2 a Suppose 5 + 71 = -l. Let d = l + 379/5. Let v be 3/(-6) - 14/(-20). What is the nearest to v in -2/11, -6/5, d? -2/11 Let y = -10628 - -10631. Let o(v) = -v + 1. Let p be o(1). What is the nearest to p in 2, 4, y? 2 Let u = -3351/10 - -335. What is the closest to 3 in 12, u, -0.3? u Let i = 30 + -30.12. Let v = i + -0.88. What is the nearest to 1/4 in 3/7, 0.1, v? 0.1 Let z be (2/10)/(8/10). Let s be (4 - (-33)/(-6))/(6/(-1)). Which is the closest to s? (a) -11 (b) -0.2 (c) z c Suppose 0 = -107*g + 113*g - 18. Which is the closest to g? (a) -1 (b) -3 (c) -1/2 c Let q = 3/47 + 35/188. Let x = -6.1 + 0.1. Let i = 10 + x. Which is the nearest to q? (a) 1 (b) i (c) 9 a Let k = -0.154 + 0.154. What is the nearest to -5 in -0.3, k, 0.4? -0.3 Let k = 0 + -0.1. Let j = 46 - 51. Let f = -5.4 - j. What is the nearest to 0.1 in k, -5, f? k Let k = -13 - -1. Let i be -4 + (-2 - -2) + k. Which is the nearest to 1/4? (a) -3 (b) i (c) -1 c Let m = 0.1 - 0. Suppose 0 = -l + 7 - 5. Suppose -5*f - 5 = -5*w, -w - 2*f - l = -5*w. Which is the closest to -0.1? (a) m (b) 1/2 (c) w c Let w = 3.3 + -5. Let g = -0.3 + w. Let o = -3.2501 - 0.7499. Which is the closest to 1? (a) o (b) 2/3 (c) g b Let z = -3 + 7. Let d = 0.03 + 0.07. Let k = d + 0.9. Which is the nearest to 1? (a) z (b) 5 (c) k c Let u = -682 + 682.3. Let v = -1 - -0.6. Let n = v + 0. Which is the nearest to 2/11? (a) -3 (b) u (c) n b Suppose 0 = 2*w - 3*r + 1, 0 = w - 2*r + 2 - 1. Let h = 67 - 66. Let i = 13.8 - 14. Which is the nearest to h? (a) i (b) -2/17 (c) w c Let h = -53/12 - -14/3. Let x = 16 - 13.6. Let s = x - 2.9. Which is the closest to 0.2? (a) -2 (b) h (c) s b Let l be -4 + -2 + 2 + (7 - -2). Which is the closest to 2/5? (a) -0.4 (b) 0.06 (c) l b Let g = 4.39 + -4.79. Let o(c) = -c - 3. Let p be o(-7). Let s = 2 - 1.9. What is the nearest to s in 0.1, p, g? 0.1 Let n = -1.1 + -11.9. Let t = 12.8 + n. Let y = -3.42 + 0.42. Which is the closest to -0.1? (a) 3 (b) t (c) y b Suppose -6*i = -64 + 10. Let l be 3/i + 0 + (-7)/(-6). What is the nearest to 1 in -0.01, -5, l? l Suppose -2*w = -5*w - 4*x - 367, -3*x = -6. Let r = w - -124. What is the nearest to r in 4, 1, 20? 1 Let g = -41/5 - -8. Let t = -2.4 - -2. Let o = 0.11 - 0.01. What is the nearest to o in t, g, 0.3? 0.3 Let m = -7.36 + -0.64. What is the closest to 0.1 in m, 1/4, 1, 8? 1/4 Let o = 4.8 + 21.9. Let y = 1236 - 1209. Let p = y - o. What is the nearest to 1 in -2, p, -3? p Let m = 553 - 553.3. Which is the nearest to m? (a) -2/15 (b) -1/3 (c) -1/2 (d) -0.4 b Let x = 0.0041 + -2.0041. What is the closest to -2 in 5, -1/2, x, 1/10? x Let o = 0.11 + -13.11. Let y = -15.5 - -2.5. Let k = y - o. Which is the closest to 2? (a) -2/19 (b) k (c) -2/7 b Let o = -12281/8 + 1535. Which is the closest to -3/4? (a) o (b) 2 (c) -3 (d) -2 a Suppose f - 3*f = 0. Let l = -58 + 165. Let g = l - 105. Which is the closest to 1/4? (a) f (b) g (c) -3 a Let z = 0.8 - 1. Let t = 1395 - 1395.5. Which is the nearest to 2/3? (a) z (b) -2/3 (c) t a Let v(x) = 17*x - 32. Let m be v(5). Let f = -54 + m. Which is the closest to f? (a) 6 (b) 2/15 (c) 5 b Let n = 254 + -253. What is the nearest to n in -0.3, -0.1, -3, 1? 1 Let h = -0.03 - 0.14. Let c = h - -1.47. Let w = c + -1.34. What is the nearest to -1 in w, 4, -2? w Let v = -7 + 2. Let m = -68 + 90. What is the nearest to -1 in v, -2/5, m? -2/5 Let g = 1/33 - 167/66. What is the closest to -1 in -5, g, -0.2? -0.2 Suppose -5*g - 6 = -26. Let j = 0.0393 + 0.0107. Which is the closest to j? (a) g (b) -2 (c) -1/2 c Let o be 150/39 - ((-24)/(-13) + -2). Which is the nearest to -1/2? (a) 191 (b) 0 (c) o b Suppose 2*r = r + 2. Let u(g) = -g**3 + 6*g**2 - 5*g + 4. Let k be u(r). Let l = k + -9. Which is the closest to -2/5? (a) 2/9 (b) 0 (c) l b Let t(d) = d**3 - 5*d**2 + d - 6. Let g be t(5). Suppose -4*x - 4*u - 24 = 0, 2*x + 12 = -2*x - u. Which is the closest to g? (a) x (b) 2 (c) 2/13 a Let f = 3.8 + 1.2. Let r be (-90)/21 - (2/7)/(-1). What is the nearest to -0.2 in 0, f, r? 0 Let d = -62.3 + 63.3. Let w = 0.4 - -1.6. Which is the closest to 0? (a) d (b) 3 (c) w a Let x = -39.3 - -21.5. Let r = 31 - 13. Let g = r + x. What is the closest to -0.2 in g, 4, -2? g Let b = -34 + 172/5. Let o = 13/2 - 7. Let g = -209/2 - -2303/22. What is the nearest to o in g, 5, b? g Let x = -326 - -322.8. Let w = 0.2 + 0. Let m = w + x. Which is the nearest to 1? (a) m (b) 1 (c) 2 b Let
{ "pile_set_name": "DM Mathematics" }
-1/240*v**6 + 0*v + 0*v**4 + 0*v**3 + 1/672*v**8 + 1/120*v**5 - 1/420*v**7 + 6*v**2 + 0. Factor s(r). r**2*(r - 1)**2*(r + 1)/2 Let u(f) be the first derivative of 5*f**4/4 + 19*f**3/3 + 11*f**2/2 - 3*f + 54. Factor u(t). (t + 1)*(t + 3)*(5*t - 1) Let -6558 + 26*o**2 - 2916*o - 149*o**2 - 3*o**3 - 39*o**2 - 10938 = 0. Calculate o. -18 Let w be ((-6)/(-10))/((-2)/(-10)). Factor 3*l**3 + 5*l**2 + l + w*l**3 - 4*l**3 + 2*l**3. l*(l + 1)*(4*l + 1) Let b be (41/(-14) + 3)*8. Let m = b + 2/21. Determine t so that -8/3*t - 8/3 - m*t**2 = 0. -2 Let g(l) be the second derivative of -l**5/210 - l**4/21 - 4*l**3/21 - 3*l**2/2 - 2*l. Let i(w) be the first derivative of g(w). Find k, given that i(k) = 0. -2 Let x(l) be the third derivative of l**5/15 - l**4/12 - l**3/3 - 8*l**2. Suppose x(r) = 0. What is r? -1/2, 1 Let s(x) be the first derivative of -x**6/18 + 2*x**5/15 + x**4/4 - 2. Find i such that s(i) = 0. -1, 0, 3 Suppose b - 4 = -2*i, -6*b + 2*b = -i + 20. Let 1/3*t**i + 0*t + 0*t**3 - 2/3*t**2 + 1/3 = 0. Calculate t. -1, 1 Let r(n) be the second derivative of -1/36*n**4 + 5*n + 2/9*n**3 + 0 - 2/3*n**2. Let r(s) = 0. Calculate s. 2 Factor 1/2*v + 1/2*v**2 - 1. (v - 1)*(v + 2)/2 Suppose -4*m - m = -15. Factor -3 + 2*v**m + 3 + 6*v**2 + 13*v**3. 3*v**2*(5*v + 2) Let f(i) be the second derivative of -i + 0*i**2 + 0 - 1/6*i**4 + 1/15*i**6 + 0*i**3 + 0*i**5. What is x in f(x) = 0? -1, 0, 1 Let m(n) be the second derivative of -1/10*n**3 + 0*n**5 + 1/10*n**4 + 0 + 4*n + 0*n**2 + 1/70*n**7 - 1/25*n**6. Solve m(p) = 0 for p. -1, 0, 1 Let h(d) be the first derivative of 5*d**3/6 + 3*d**2/4 + 18. Solve h(q) = 0. -3/5, 0 Let g(v) be the first derivative of -v**2 - 2/3*v**3 + 1/2*v**4 - 2 + 2*v. Find x such that g(x) = 0. -1, 1 Let d(s) be the second derivative of -s**6/180 + s**5/60 - s**3/2 - s. Let m(f) be the second derivative of d(f). Factor m(h). -2*h*(h - 1) Let u be (-1)/21*9/3. Let l = u - -3/7. Factor l*q**3 + 0*q + 0*q**2 + 0. 2*q**3/7 Let n(r) be the third derivative of r**8/25200 + r**7/6300 + r**6/3600 + r**5/30 - 5*r**2. Let v(m) be the third derivative of n(m). Let v(w) = 0. What is w? -1/2 Let v be (-6)/(-4) + 45/18. Suppose 0*x + 8 = v*x. Factor -1/2 - o - 1/2*o**x. -(o + 1)**2/2 Let x = 125 - 374/3. Find p, given that -x*p - 1/3*p**3 + 0 - 2/3*p**2 = 0. -1, 0 Suppose -5*s + j = -74, -56 = -4*s + 3*j + j. Let i be 24/s + 2/5. Factor 0 - 2/9*v - 2/9*v**i. -2*v*(v + 1)/9 Let g(d) = -d**2 - 2*d + 2. Let j be (-34)/(-4) - (-1)/2. Let o(m) = -2*m**2 - 11*m + j + 2*m - 2*m**2 - 2*m**2. Let l(c) = 11*g(c) - 2*o(c). Factor l(x). (x - 2)**2 Let r(j) = -j - 1. Let b be r(3). Let m(a) = 2*a + 8. Let d be m(b). Factor -1/3*w**2 + 0*w**3 + d*w + 0 + 1/3*w**4. w**2*(w - 1)*(w + 1)/3 Let u(w) be the first derivative of w**4/22 + 2*w**3/11 + 2*w**2/11 - 24. Let u(j) = 0. Calculate j. -2, -1, 0 Let d be 0/(-1 - 1)*1. Let o(h) be the first derivative of 1/3*h**3 + 0*h**2 - 1 + d*h. Suppose o(f) = 0. What is f? 0 Determine m so that 8/7 + 10*m**2 - 48/7*m = 0. 2/7, 2/5 Let q be (44/(-3))/1*-1. Let o = q + -14. Factor 1/3 + 1/3*h**3 - h**2 + o*h**4 - 1/3*h. (h - 1)*(h + 1)**2*(2*h - 1)/3 Let o = 17/2 - 47/6. Suppose -7 = -5*b + 8. Factor -1/3 - o*w**2 + 1/3*w**5 + w**4 + 2/3*w**b - w. (w - 1)*(w + 1)**4/3 Let h(w) = -4*w**3 - 90*w**2 - 135*w - 11. Let p(l) = -l**3 - 18*l**2 - 27*l - 2. Let r(z) = -2*h(z) + 11*p(z). Let r(n) = 0. What is n? -3, 0 Let v(q) be the first derivative of -q**5/40 + q**4/4 - q**3 + 2*q**2 - 2*q - 8. Factor v(o). -(o - 2)**4/8 Let p = -377/6 + 63. Find t such that 1/6*t**5 - 1/6 - p*t**4 - 1/3*t**3 + 1/3*t**2 + 1/6*t = 0. -1, 1 Let k(r) = -r**3 - 8*r**2 + 2. Let c be k(-8). Suppose 1/5*v**3 + 1/5*v**4 + 0 - 1/5*v - 1/5*v**c = 0. What is v? -1, 0, 1 Suppose 0 = 2*w + 1 + 3, 3*m + 4*w = 1. Let l(d) be the first derivative of 3 - 9/4*d**4 + 1/3*d + 3*d**m - 3/2*d**2. Factor l(y). -(3*y - 1)**3/3 Let o = -19/6 + 23/6. Factor -2/3*k**2 + o*k + 0. -2*k*(k - 1)/3 Let q = 16 + -14. Factor -z**q - 1/2 + 3/2*z. -(z - 1)*(2*z - 1)/2 Let o = 11 - 6. Suppose -12 = -2*y - o*l - 3, -1 = -2*y + 3*l. Factor 0*d**y - 1/2*d**3 + 3/2*d - 1. -(d - 1)**2*(d + 2)/2 Let k(a) be the third derivative of a**5/60 - a**4/6 + a**3/2 + 9*a**2. Factor k(h). (h - 3)*(h - 1) Suppose 0 = -0*u - 3*u + 4*d + 78, 4*u = 4*d + 104. Let a be u/8 - (-2)/(-8). Suppose g - 5*g**2 - a*g + 3*g**3 + 0*g**2 + 4*g**2 = 0. What is g? -2/3, 0, 1 Suppose -5*v = -3*r - 4*v + 37, 4*v + 71 = 5*r. Factor -w**2 - w**2 - r*w**3 + 4*w**3. -w**2*(7*w + 2) Let p be (2/(-4))/(10/(-8)). Let m(l) be the first derivative of p*l**5 - 2/3*l**3 + 1/2*l**4 - 2 - l**2 + 0*l. Factor m(y). 2*y*(y - 1)*(y + 1)**2 Let f be 12*((-30)/(-4))/5. Let m = f + -71/4. Suppose m*h**2 + 0*h**3 + 0 - 1/4*h**4 + 0*h = 0. What is h? -1, 0, 1 Let u be ((3 - 2)*3)/1. Suppose -2*y = -4*d, -4*y + 4*d - 9 = -29. Factor 0*l + y*l**u - 5*l**3 - l - 3*l**4 - l**2. -l*(l - 1)**2*(3*l + 1) Let g(j) be the second derivative of j**4/42 + 5*j**3/21 - 6*j**2/7 - 15*j. Find s, given that g(s) = 0. -6, 1 Factor -3*o - 15*o**3 + 0 + 29/2*o**2 + 7/2*o**4. o*(o - 3)*(o - 1)*(7*o - 2)/2 Let v(n) be the second derivative of n**7/252 + 7*n**6/360 + n**5/30 - n**4/3 + 2*n. Let g(c) be the third derivative of v(c). Find r, given that g(r) = 0. -1, -2/5 Let m(s) be the second derivative of s**7/42 - s**6/10 + s**5/20 + s**4/4 - s**3/3 - 44*s. Factor m(r). r*(r - 2)*(r - 1)**2*(r + 1) Let o(x) be the second derivative of x**4/18 + 4*x**3/9 + 4*x**2/3 + 7*x. Factor o(i). 2*(i + 2)**2/3 Let j(b) be the third derivative of -b**6/1020 - 7*b**5/510 - 2*b**4/51 + 16*b**3/51 + 12*b**2. Find f such that j(f) = 0. -4, 1 Suppose -8/3*j**2 - 128/9 + 2/9*j**3 + 32/3*j = 0. Calculate j. 4 Let g(b) be the first derivative of b**6/6 - b**5 + 3*b**4/4 + 3*b**3 + 14. Factor g(d). d**2*(d - 3)**2*(d + 1) Let h(g) = -2*g + 7. Let m be h(6). Let q be 3/5 - (-3)/m. Factor 2/5*s**5 + q + 0*s + 2/5*s**2 - 2/5*s**3 - 2/5*s**4. 2*s**2*(s - 1)**2*(s + 1)/5 Let r = -20/7 - -314/105. Let j(q) be the first derivative of r*q**3 + 6/5*q**2 - 12/5*q**4 + 2/5*q + 32/25*q**5 + 3. Determine w, given that j(w) = 0. -1/4, 1 Factor -5*p**3 + 0*p**3 - 75*p - 8*p**2 - 45 - 4*p**2 - 23*p**2. -5*(p + 1)*(p + 3)**2 Let j(s) be the third derivative of s**6/315 + s**5/90 - 5*s**4/252 - 2*s**3/21 + 23*s**2. Solve j(b) = 0 for b. -2, -3/4, 1 Let t(c) be the third derivative of 1/20*c**5 + 0*c**3 + 0*c - 1/12*c**4 + 4*c**2 + 0 - 1/120*c**6. Let t(d) = 0. Calculate d. 0, 1, 2 Let n = -5 - -7. Factor -1/5*l**3 - 1/5 - 3/5*l**n - 3/5*l. -(l + 1)**3/5 Let q = -2 - -2. Let m be q*3/9 - -5. Factor 12*z**m - 10*z**3 - 5*z**5 - 5*z**4 + 5*z**2 + 2*z + z**3. z*(z - 1)**2*(z + 1)*(7*z + 2) Let z(i) = -11*i + 7. Let a(r) = 17*r - 11. Let v(y) = 5*a(y) + 8*z(y). Let p be v(-1). Factor 4*g - 2*g - 2*g**3 + 0*g**3 - 4*g**2 + p. -2*(g - 1)*(g + 1)*(g + 2) Let f(n) be the first derivative of -1 + n - 1/4*n**2 + 1/60*n**6 - 1/20*n**5 + 0*n**4 + 1/6*n**3. Let i(a) be the first derivative of f(a). Factor i(r). (r - 1)**3*(r + 1)/2 Let h be ((-12)/9)/(-5 - -1). Let w(t) be the first derivative of 0*t**3 + 0*t**5 - 3 - h*t**6 + t**4 + 0*t - t**2. Solve w(k) = 0 for k. -1, 0, 1 Let b be 4/18 - 0 - 2830/(-225). Let q(v) be the first derivative of 28*v**4 + 13/2*v**2 - 1 - 20*v**3 - b*v**5 - v. Factor q(s). -(s - 1)*(4*s - 1)**3 Solve 0*t + 0 + 0*t**2 - 21/5*t**4 - 6/5*t**3 = 0. -2/7, 0 Let j be 2/((-5)/(-5)) - 464/(-9). Factor 8/9 + j*t**2 - 920/9*t**3 - 104/9*t + 608/9*t**4 - 128/9*t**5. -2*(t - 2)**2*(4*t - 1)**3/9 Let z(g) = 6*g**2 - 8*g. Let f(l) = -6*l**2 + 7*l. Suppose -4 = -2*c + c. Let v(s) = c*f(s) + 3*z(s). Solve v(a) = 0 for a. 0, 2/3 Suppose -3*n + n = -10. Suppose f = -0*f + 4. Solve d**3 + 2*d**5 - d**n + d**f - 3*d**3 = 0. -2, 0, 1 Let v(h) = 3*h**2 + 50*h + 32. Let f be v(-16). Factor -1/5*c**3 + 1/5*c**5 + 0*c + 1/5*c**4 - 1/5*c**2 + f. c**2*(c - 1)*(c + 1)**2/5 Let h(w) be the third derivative of 1/30*w**5 + 0*w + 0 - 2*w**2 - 1/3*w**3 + 0*w**4. Find i, given that h(i) = 0. -1, 1 Let t(m) be the first derivative of 3/10*m**4 + 0*m - 1/5*m**3 + 0*m**2 + 1 - 3/25*m**5. Let t(r) = 0. Calculate r. 0, 1 Suppose -3*w + 37 = s + 4*s, 2*s = -3*w + 31. Let o be (-5)/(-21) + 3/w. Factor 2/7*y**2 - 2/7*y -
{ "pile_set_name": "DM Mathematics" }
3 Let c(p) be the third derivative of -p**6/120 + p**4/24 + 8*p**3/3 + 77*p**2. Find the first derivative of c(m) wrt m. -3*m**2 + 1 Let h(b) = -20*b**2 - 5*b - 165. Let a(u) = 40*u**2 + 13*u + 329. Let p(m) = -2*a(m) - 5*h(m). Differentiate p(r) wrt r. 40*r - 1 Let x(c) be the third derivative of -383*c**5/60 + 29*c**4/8 - c**3/6 - 393*c**2. Find the second derivative of x(y) wrt y. -766 Suppose 5*d = 6*v - 4*v + 87, 0 = -5*d + 5*v + 90. What is the second derivative of 2*a**3 - 60 + 116 - 56 - d*a wrt a? 12*a Let n(q) be the first derivative of -9*q**6/10 + 29*q**2/2 - 22*q - 14. Let o(u) be the first derivative of n(u). Differentiate o(r) wrt r. -108*r**3 Let n(f) be the second derivative of 11/12*f**4 + 0*f**2 + 0*f**3 + 12*f + 0 - 13/20*f**5. What is the third derivative of n(d) wrt d? -78 Let z(f) = -f**3 - f. Let s(d) = -3*d**3 - 53*d**2 - 4*d - 43. Let k(c) = s(c) - 4*z(c). Find the first derivative of k(p) wrt p. 3*p**2 - 106*p Let m(q) be the third derivative of -29*q**7/210 - q**6/60 - 19*q**5/15 + q**4/12 + 131*q**2 + 2*q. Find the third derivative of m(t) wrt t. -696*t - 12 Let a(m) = -65*m**3 + 5*m + 99. Let o(b) = -126 - 39*b**3 + 32*b**3 - 23 + 104*b**3 - 8*b. Let p(j) = 8*a(j) + 5*o(j). What is the derivative of p(l) wrt l? -105*l**2 Suppose 5*u = -2*m + 50 + 33, -3*u + 2*m + 37 = 0. Find the first derivative of -b**4 - u*b + 7*b + 8*b - 18 wrt b. -4*b**3 Let o = -4 + 4. Suppose -4 = -n - o*n. Find the second derivative of -2*f**2 - 2*f + f**2 - 2*f**n + f**2 wrt f. -24*f**2 Let q(b) = 61*b**6 - 9*b**3 + 165*b**2. Let c(m) = -31*m**6 + 4*m**3 - 83*m**2. Let w(y) = -9*c(y) - 4*q(y). Find the third derivative of w(r) wrt r. 4200*r**3 Let f(a) = -371*a**4 - 47*a**2 + 2*a + 2. Let b(r) = 5931*r**4 + 753*r**2 - 33*r - 33. Let p(j) = -2*b(j) - 33*f(j). Find the third derivative of p(i) wrt i. 9144*i Let h(y) = y**2. Let a(p) = 17*p**4 + 4*p**2 + 3*p - 13 + 13 + p**2. Let i(r) = -a(r) + 5*h(r). What is the second derivative of i(z) wrt z? -204*z**2 Let s(a) = -69*a**2 - 32*a - 5. Let t(f) = -208*f**2 - 94*f - 14. Let w(c) = 8*s(c) - 3*t(c). What is the second derivative of w(z) wrt z? 144 Let x(w) = 33*w + 135. Let u(o) = 38*o + 134. Let j(p) = 4*u(p) - 3*x(p). What is the derivative of j(h) wrt h? 53 Let g = -2 - -6. Find the first derivative of 3*l**4 + 9*l**g + 8 + 3*l**4 - l**4 wrt l. 56*l**3 Let f(r) be the second derivative of 20*r**7/21 - 169*r**4/12 + 95*r. Find the third derivative of f(a) wrt a. 2400*a**2 Let s be 201/15 - (-6)/(-15). Suppose -d - s = -17. What is the second derivative of -51*g**2 + d*g + 41*g**2 + 8*g wrt g? -20 Let v(k) = -k**2 + 9*k - 7. Let g be v(8). Let t(w) = 12*w**2 - w + 1. Let h be t(g). Find the first derivative of p**3 - h - 8*p**3 - 5*p**3 wrt p. -36*p**2 Let h(a) = 57*a - 60. Let z(c) = c - 1. Let i(s) = h(s) - 3*z(s). What is the derivative of i(o) wrt o? 54 Let a(i) = i**3 - 16*i**2 + 14*i + 17. Let t be (-9)/15 - 156/(-10). Let r be a(t). What is the third derivative of 4*y**r - 65*y**4 + 65*y**4 - 8*y**6 wrt y? -960*y**3 Let b(o) = -2*o**3 + o**2 - o - 1. Let y(i) = -72*i**4 + 4*i**3 - 2*i**2 + 2*i - 317. Let c(n) = -2*b(n) - y(n). Find the first derivative of c(p) wrt p. 288*p**3 Let q(i) = 493*i**4 - 11*i**2 + 141*i. Let c(h) = -99*h**4 + 2*h**2 - 28*h. Let r(p) = 11*c(p) + 2*q(p). What is the second derivative of r(k) wrt k? -1236*k**2 Let y(s) be the third derivative of s**7/70 + 4*s**5/15 + 139*s**4/12 - s**3/3 - 763*s**2. What is the second derivative of y(x) wrt x? 36*x**2 + 32 What is the third derivative of 8*l + 43*l**5 + 221*l**2 + 2*l**3 - 2 - 217*l**2 + 2 wrt l? 2580*l**2 + 12 Let h(j) be the third derivative of 2*j**6/3 - 11*j**5/10 + 38*j**2 - 2*j. Find the third derivative of h(k) wrt k. 480 Find the third derivative of 1255 + 1255 + 249*u**6 + 279*u**6 - 175*u**2 - 2510 wrt u. 63360*u**3 Find the second derivative of 33*p + 11*p**5 + 0*p - 54*p**5 wrt p. -860*p**3 Let z(t) be the second derivative of -161*t**5/10 - 113*t**3/6 + t**2/2 + 387*t. What is the second derivative of z(b) wrt b? -1932*b Let z(u) = 18*u**2 - u + 56. Let o(a) = 90*a**2 - 5*a + 281. Let s(f) = 2*o(f) - 11*z(f). Find the first derivative of s(g) wrt g. -36*g + 1 Let l be (1 + 0)*(5 - -2). Let y be (12/14)/((-42)/(-196)). Find the first derivative of -3 - 4*k**y + 5 - 3 - l wrt k. -16*k**3 Let f(q) be the first derivative of q**7/3 - 5*q**3/2 - 2*q + 2. Let w(v) be the first derivative of f(v). Find the second derivative of w(p) wrt p. 280*p**3 Suppose 0 = -4*i - i + 50. Let t = i + -7. What is the third derivative of t*x**2 - 16*x - 8*x**3 + 16*x wrt x? -48 Let y(v) = -78*v**2 + 3*v - 10. Let b(q) = -2*q**2. Let r(u) = 6*b(u) + y(u). Find the second derivative of r(c) wrt c. -180 Let y(f) = -219*f**3 - 17*f + 13. Let c(b) = -216*b**3 - 16*b + 12. Let i(n) = 7*c(n) - 6*y(n). What is the second derivative of i(u) wrt u? -1188*u What is the derivative of 137 + 145 - 10*u**2 - 301 + 11*u**3 wrt u? 33*u**2 - 20*u Let c(g) be the third derivative of -1/210*g**7 + 0*g + 0*g**4 - 10/3*g**3 + 14*g**2 + 0*g**5 + 0*g**6 + 0. Find the first derivative of c(q) wrt q. -4*q**3 Let x(c) be the second derivative of -13*c + 0*c**3 + 0 + 11/15*c**6 - 19/12*c**4 + 0*c**2 + 0*c**5. What is the third derivative of x(b) wrt b? 528*b Let d(j) be the third derivative of -47*j**7/105 - 59*j**5/60 + 131*j**2. Find the third derivative of d(a) wrt a. -2256*a Let p(l) be the third derivative of 202*l**7/105 - 58*l**5/15 + 465*l**2. Find the third derivative of p(f) wrt f. 9696*f Let n(g) = -g**3 + 11*g**2 - 8*g + 1. Let o be n(10). What is the first derivative of -1 - 17*y**2 + o*y**2 - 11 wrt y? 8*y Let n = 1 + -3. Let m be n - (-8 - -1 - 1). What is the second derivative of -4*x**2 - 2*x + 4 + m - 10 wrt x? -8 Let q = 3 + -9. Let j(c) = -3*c**2 + 5*c + 4. Let t(k) = 3*k**2 - 6*k - 4. Let x(b) = q*j(b) - 5*t(b). Differentiate x(g) with respect to g. 6*g Let i(d) = 7*d + 0*d - 4*d - 15*d**2 + 8*d. Let n(x) = 29*x**2 - 21*x. Let g(p) = 13*i(p) + 6*n(p). What is the second derivative of g(m) wrt m? -42 What is the third derivative of -14*h**2 + 78*h**2 - 114*h**4 + 8*h**4 wrt h? -2544*h Let o(m) = -72*m**2 + 10*m - 2. Let k(q) = -69*q**2 + 11*q - 3. Let z(f) = -2*k(f) + 3*o(f). What is the second derivative of z(t) wrt t? -156 Find the second derivative of -2*c**2 + 2179 + 170*c**2 - 44*c - 2179 wrt c. 336 Let l(b) be the second derivative of b**7/280 - b**5/60 - b**4/12 + 8*b. Let o(y) be the third derivative of l(y). Find the first derivative of o(x) wrt x. 18*x Let j(z) = -36*z**3 + 2*z - 2*z - 9 + 20*z**2. Let m(u) = -9*u**3 + 5*u**2 - 2. Let a(g) = 2*j(g) - 9*m(g). Find the third derivative of a(x) wrt x. 54 Let z = 47 + 2. Find the second derivative of -z*h**3 - 3*h**4 + 49*h**3 - 14*h wrt h. -36*h**2 Suppose 4*b = -2*n + n, -5*n + 5*b + 50 = 0. What is the second derivative of -n*a**3 - 17*a - 12*a + 20*a wrt a? -48*a Let p(u) be the second derivative of 3 + 0*u**4 - 4*u - 1/10*u**5 + 5/3*u**3 - 21/2*u**2. What is the derivative of p(x) wrt x? -6*x**2 + 10 Let l be (-1 - 4)*20/(-25). Find the third derivative of 0*v**l - 8*v**2 + v**2 + 0*v**2 - 18*v**4 wrt v. -432*v Let s(k) = -231*k**4 - 21*k**3 + 678*k**2 + 21. Let c(v) = -2*v**4 - v**3 + v**2 + 1. Let h(y) = 21*c(y) - s(y). Find the third derivative of h(u) wrt u. 4536*u Let u(s) = -3*s**3 + s**2 - 4*s - 2. Let f be u(-2). Differentiate -7 + f*y**4 - 26 - 7 wrt y. 136*y**3 Let m(g) = -2*g**5 + 10*g**3 + g**2 + 318*g + 9. Let b(x) = x**5 - 6*x**3 - 159*x - 5. Let o(t) = 5*b(t) + 3*m(t). Find the second derivative of o(r) wrt r. -20*r**3 + 6 Let w(k) be the second derivative of 26*k**6/5 - 505*k**2/2 - 140*k. What is the derivative of w(x) wrt x? 624*x**3 Let d(m) be the second derivative of m**6/6 - 31*m**5/20 - 118*m**3/3 - m**2/2 + 73*m. Find the second derivative of d(y) wrt y. 60*y**2 - 186*y Let s(i) = -3*i + 7. Let d be s(-9). What is the derivative of d - 13*v + 0 - 15*v - 9*v wrt v? -37 Let p be (3 + 4 + -2)*-7. Let h(l) = -95*l**3 + 60. Let s(v) = -8*v**3 + 5. Let i(m) = p*s(m) + 3*h(m). What is the first derivative of i(q) wrt q? -15*q**2 Let h(v) be the first derivative of 2*v**4/3 + 7*v**2/2 + 14*v + 13. Let y(t) be the first derivative of h(t). Different
{ "pile_set_name": "DM Mathematics" }
0)/(v**0/v)**(-1/27) assuming v is positive. v**(-1621/27) Simplify ((u**(-3/2))**(-29))**(-25) assuming u is positive. u**(-2175/2) Simplify (g*g**3/g)**(-36) assuming g is positive. g**(-108) Simplify ((g*g/((g*g/(g/(g*g/g**(-11)))*g)/g)*g)/g**(6/5))**(-8) assuming g is positive. g**(488/5) Simplify (j**(-29)*j)/(j*j**(-13)) assuming j is positive. j**(-16) Simplify ((r*r**(-1)/r)**3)**(-2/3) assuming r is positive. r**2 Simplify (o**0/o)**(-12)*o**(1/6)/(o*(o/o**(-2/3))/o*o) assuming o is positive. o**(19/2) Simplify ((o**0)**13)**(-39/2) assuming o is positive. 1 Simplify ((b/(b/((b/b**(1/2))/b)))**(-39))**(2/13) assuming b is positive. b**3 Simplify ((o**(-1/5)*o)/(o/(o**(-2/5)/o*o*o)))/(o/(o**(-2)*o))**(-22/7) assuming o is positive. o**(234/35) Simplify (q**5/q)**(-16) assuming q is positive. q**(-64) Simplify (q*q**2)/q*(q**(-3)/q)/q*(q**(-2))**14 assuming q is positive. q**(-31) Simplify j*j**(-14/5)*j*j/j**(-20) assuming j is positive. j**(101/5) Simplify t**(-1/10)*t**(3/5)/t assuming t is positive. 1/sqrt(t) Simplify (f**(1/2)/f*f)**(-1/17)/((f**3*f)/((f/((((f/(f**(-2)/f))/f)/f)/f))/f*f)) assuming f is positive. f**(-137/34) Simplify (h**(-5))**(-2) assuming h is positive. h**10 Simplify ((q**(2/11)/q)/(q**(-2)*q))/(q/(q*q**1))**(-20) assuming q is positive. q**(-218/11) Simplify n*n**(3/10)*n*n*n/(n**10/n)*n assuming n is positive. n**(-37/10) Simplify z**(3/17)*z**(-2/79)/z assuming z is positive. z**(-1140/1343) Simplify (h**(-1)*h**(1/3))/(h**(2/9)/(h/h**1)) assuming h is positive. h**(-8/9) Simplify (y*y**8)/y*y/(y**(1/5)/y)*y*y/y**(2/11)*y/(y*y**(2/9)/y) assuming y is positive. y**(6136/495) Simplify (d*d**(-18))**(1/21) assuming d is positive. d**(-17/21) Simplify y**(-14)/((y*(y/(y*y/(y/(y*y/(y**(-2/61)*y)))))/y*y)/y) assuming y is positive. y**(-791/61) Simplify (d**(-2))**48/(d/d**(1/3)*d**(-3/7)) assuming d is positive. d**(-2021/21) Simplify (l/l**(-6)*l)**(-23/5) assuming l is positive. l**(-184/5) Simplify n/((n**(-6/7)*n)/n)*(n*n**(-1))/n*(n/(n**(-7)/n))/n**(2/7) assuming n is positive. n**(67/7) Simplify ((n/((n*n**(1/3)*n)/n))/n*(n*n**7)/n)/(n**(3/4)/n**(-1/9)) assuming n is positive. n**(173/36) Simplify (x**7/x)**17 assuming x is positive. x**102 Simplify ((o**(4/7)/o)/(o*o**3))/(o**1*o**(1/8)) assuming o is positive. o**(-311/56) Simplify (p*(((((p**(-1/4)/p)/p)/p*p)/p)/p)/p)**(-14) assuming p is positive. p**(119/2) Simplify i*i*i/(i*(i/((((i**(8/5)/i)/i)/i*i)/i*i))/i)*i**(-21) assuming i is positive. i**(-97/5) Simplify d**(7/4)*d*d**(20/7) assuming d is positive. d**(157/28) Simplify ((x*(x/(x**1*x))/x*x)**(-12/5))**40 assuming x is positive. 1 Simplify (b**(2/17)*b/b**(3/4))**(1/13) assuming b is positive. b**(25/884) Simplify (w/(w*w**(-2/3)))/w**18 assuming w is positive. w**(-52/3) Simplify a*a**(-12)*a*a*a**23 assuming a is positive. a**14 Simplify ((u*u/(u*u/(u/(u/u**(1/11)))))/u**6)**(-25/4) assuming u is positive. u**(1625/44) Simplify (w/w**(-14))**(1/43) assuming w is positive. w**(15/43) Simplify ((g**0*g)**(2/165))**38 assuming g is positive. g**(76/165) Simplify (z*z/(z**(3/16)/z*z*z))/((z/(z/(z**(-12/17)/z*z)))/z) assuming z is positive. z**(685/272) Simplify (o**(-5)*(o**(-1/11)/o*o)/o)/(o**(2/3))**(2/29) assuming o is positive. o**(-5873/957) Simplify m*(((m**(-2/9)*m)/m)/m)/m*(m/m**7)/m*m*((m*m**(2/11))/m)/m*m*m**(-10)/m assuming m is positive. m**(-1786/99) Simplify (((u/u**(-1))/u)/u)**49/((u/(u/u**6))/(u*u/((u/(u*u/(u/(u**1*u*u*u))*u))/u*u))) assuming u is positive. u Simplify (x**(1/4))**(-15/11)*(x*x**(-1/3))**(1/12) assuming x is positive. x**(-113/396) Simplify ((k*k**(-2)/k)/(k**(-1/2)/k))/((k/(k**(-7)*k))/((k/k**7)/k*k)) assuming k is positive. k**(-27/2) Simplify (x*x**2*x)**(-49)/(x*x**(2/7)/x*x)**(2/13) assuming x is positive. x**(-17854/91) Simplify (v*v**38)/(v/v**(-21)) assuming v is positive. v**17 Simplify (u/(u*u**(-3)/u*u*u*u))/((u**13*u)/u) assuming u is positive. u**(-12) Simplify (l**(2/7)*l*l*l)**(-10/7)*(l/l**4*l)/(((l/(l/(l*((l*l**(-6)*l)/l)/l)))/l)/l) assuming l is positive. l**(15/49) Simplify (b**(-2/5)/b)**(-2/21)/(b**(-1/2))**45 assuming b is positive. b**(679/30) Simplify (r/(r/(r/(r**(-1/3)*r))))**(-3)*(r**(2/7)/r)**(2/9) assuming r is positive. r**(-73/63) Simplify (s*(s/(s/(s*s**(-1/34))))/s)/(s/((s*(s/((s/s**(-2/73))/s))/s)/s)*s*s) assuming s is positive. s**(-5105/2482) Simplify ((j**(5/6)/j)/j)/(j**(-3/4)/j) assuming j is positive. j**(7/12) Simplify (d**8*d)**(1/27) assuming d is positive. d**(1/3) Simplify (n**(-5)/n)/n*n*n**(-7)*(n**(-5/3)/n)/(n*n*n**(2/23)*n) assuming n is positive. n**(-1294/69) Simplify (l/(l**(9/8)/l))/l*l*l**(-9/7)/l assuming l is positive. l**(-79/56) Simplify ((z**(-6)*z*z*z)/((z*z*z**(-6))/z))**(1/3) assuming z is positive. z**(2/3) Simplify n**(3/4)/(n/n**(9/2)) assuming n is positive. n**(17/4) Simplify (j*j*(j/(j/(j*j**(-36))*j))/j*j)/((j**19*j)/j) assuming j is positive. j**(-53) Simplify (d*(d**14/d)/d)**(1/6) assuming d is positive. d**(13/6) Simplify (g**0)**(-25)/(g**(3/10)/(g*g*g**(-1/8))) assuming g is positive. g**(63/40) Simplify (h*h**0*h)**(1/11)*h**(-1/4)/(h/(h/((h/h**(-1/2))/h))*h) assuming h is positive. h**(-69/44) Simplify (o**(7/4))**12 assuming o is positive. o**21 Simplify (l**(-2/13)*l)**(-1) assuming l is positive. l**(-11/13) Simplify (t/(t**(2/25)/t)*t**(1/4))**(-28) assuming t is positive. t**(-1519/25) Simplify (x*x**32/x)**(6/37) assuming x is positive. x**(192/37) Simplify ((z/(z*z**5*z*z))/((z/(z/(z/z**6)))/z))/(z**(1/3)/(z*z*z**(-2/19))) assuming z is positive. z**(32/57) Simplify (q/(q*q**(-2/7)/q*q))**(-35)/(q/((q/(q*q**(-4))*q)/q)*q**7) assuming q is positive. q**(-14) Simplify (s*(s**8/s*s)/s*s)/s**(-5/3)*s**(-1/4)*s*s**(-3/5) assuming s is positive. s**(649/60) Simplify w**(-21)/w**(16/5) assuming w is positive. w**(-121/5) Simplify m/(m*m**(-15)/m*m)*m**(1/22)*m*m assuming m is positive. m**(375/22) Simplify u**23/u**5 assuming u is positive. u**18 Simplify ((t**(-1/3)/t)/t**(3/4))/(t*(t**(-1)*t)/t*t*t**(-1/4)) assuming t is positive. t**(-17/6) Simplify ((h**(-2)/h)**45)**(-26) assuming h is positive. h**3510 Simplify (m*m**1*m)**(18/7)/(m/m**(-2/5))**(-42) assuming m is positive. m**(2328/35) Simplify (b/b**11)**(-18/5) assuming b is positive. b**36 Simplify n**(4/5)*n*n/(n/((n*n*n**2)/n))*(n*n**(-2/13)*n*n)/n**9 assuming n is positive. n**(-88/65) Simplify (t**0)**(-11)/(t*t**(1/6)*t*t*t**1) assuming t is positive. t**(-25/6) Simplify r**1*r*r*(r/r**(3/2))/r*r*r*(r/(r/(r/r**(-2/3))*r))**(-23/3) assuming r is positive. r**(-29/18) Simplify (r**(1/6)*(r*r/(r/r**6))/r)**(-44) assuming r is positive. r**(-814/3) Simplify (z*(((z*z**22)/z)/z)/z)/(z/((z**(2/49)/z)/z*z)) assuming z is positive. z**(933/49) Simplify l**11/(l**2/l) assuming l is positive. l**10 Simplify ((b*b**(-2/13))/b**(3/5))**(-18) assuming b is positive. b**(-288/65) Simplify (t**10/t**(-15))**(-34) assuming t is positive. t**(-850) Simplify (v/(v**(-3/7)/v)*v/v**(3/8))**43 assuming v is positive. v**(7353/56) Simplify (k**0)**32*(k*k**(-1/11))/k**7 assuming k is positive. k**(-67/11) Simplify (r*r**(2/45))/r**(-2) assuming r is positive. r**(137/45) Simplify ((s**1)**(2/47))**(-50) assuming s is positive. s**(-100/47) Simplify (g**(1/3))**29/(g*g**(-1/3)*g)**(-34) assuming g is positive. g**(199/3) Simplify (d*d*d/(d/(d*d*d*d*(d*d*(d/((d/d**2)/d))/d)/d*d))*d)**(1/5) assuming d is positive. d**(11/5) Simplify (x*x/(x*x**(-1/2)))/x**(1/6)*x/(x*x**(-1)*x*x)*x/(x*x/x**(-1/6)) assuming x is positive. x**(-5/6) Simplify (((a**(3/4)/a)/a)/(a/(a/a**1)))/(a*a/a**(-2)*a*a*a*a**(-7)*a*a) assuming a is positive. a**(-17/4) Simplify (i**(-2/7)*i)**(-6/11)*(i**(-1/4))**(-14) assuming i is positive. i**(479/154) Simplify (i**(-7/3)*i)**9 assuming i is positive. i**(-12) Simplify ((d/(d*d*(d/(d**11/d))/d*d))/d)/(d*(d*d**(-10))/d) assuming d is positive. d**16 Simplify b**(-8/5)*b**22 assuming b is positive. b**(102/5) Simplify (((d*(d*(d**2/d)/d)/d*d*d)/d*d)/(d/d**4*d))**(2/9) assuming d is positive. d**(10/9) Simplify (q**(4/7)*q**10)**33 assuming q is positive. q**(2442/7) Simplify (g/(g**21/g))**(-2/17) assuming g is positive. g**(38/17) Simplify r**(-25)*r*r**(-3) assuming r is positive. r**(-27) Simplify (a**(-4)*a/(a/(a/a**4))*a*
{ "pile_set_name": "DM Mathematics" }
etters picked without replacement from {h: 11, x: 6, y: 2}. What is prob of picking 2 y and 1 x? 2/323 What is prob of picking 1 q and 1 e when two letters picked without replacement from {r: 6, q: 3, e: 2, z: 1}? 1/11 What is prob of picking 1 t and 1 g when two letters picked without replacement from tttytgbtybbtybybyb? 2/51 Four letters picked without replacement from jbffqhfqjfjf. Give prob of picking 1 b, 1 q, 1 h, and 1 f. 2/99 Four letters picked without replacement from {f: 4, l: 4, x: 2}. What is prob of picking 1 x and 3 l? 4/105 Two letters picked without replacement from nnpvqnqqeqvqqeqqqqqq. Give prob of picking 2 p. 0 Four letters picked without replacement from {x: 1, e: 9, d: 1, n: 1, l: 1, s: 4}. Give prob of picking 1 e, 1 n, and 2 s. 27/1190 Calculate prob of picking 2 y, 1 g, and 1 r when four letters picked without replacement from ykykkkykkkrgw. 3/715 Two letters picked without replacement from {p: 4, o: 1, w: 1, s: 2, k: 2}. What is prob of picking 1 o and 1 s? 2/45 What is prob of picking 3 p and 1 g when four letters picked without replacement from gppgpgpp? 3/7 Two letters picked without replacement from pppppypppppppppppppp. What is prob of picking 1 y and 1 p? 1/10 Four letters picked without replacement from {k: 4, m: 3, g: 2, j: 6, f: 1}. Give prob of picking 3 j and 1 k. 4/91 Two letters picked without replacement from aaadpadelpaammpaaa. Give prob of picking 1 p and 1 m. 2/51 Calculate prob of picking 2 a and 1 m when three letters picked without replacement from {a: 5, m: 7}. 7/22 Calculate prob of picking 2 f when two letters picked without replacement from {p: 1, i: 6, f: 8, c: 1}. 7/30 What is prob of picking 1 o and 2 w when three letters picked without replacement from {w: 9, o: 11}? 33/95 Calculate prob of picking 2 t, 1 j, and 1 y when four letters picked without replacement from tymaamjottatyatymtmo. 3/323 Calculate prob of picking 4 c when four letters picked without replacement from {y: 5, c: 14}. 1001/3876 What is prob of picking 1 z and 1 s when two letters picked without replacement from llzlzllzllzsz? 5/78 Two letters picked without replacement from {f: 11, x: 1}. Give prob of picking 2 f. 5/6 Three letters picked without replacement from icaiccxiiacaqiqaaci. What is prob of picking 2 i and 1 a? 25/323 Four letters picked without replacement from {z: 2, s: 10, v: 2, e: 1, l: 1}. Give prob of picking 1 s, 2 z, and 1 e. 1/182 What is prob of picking 1 h, 1 f, and 1 j when three letters picked without replacement from fjdhjjfjdjddhjjhjjjf? 3/38 Two letters picked without replacement from uutuukkkkuktu. What is prob of picking 2 t? 1/78 Two letters picked without replacement from {g: 1, j: 1, s: 2, d: 2, i: 2}. What is prob of picking 1 s and 1 i? 1/7 What is prob of picking 3 q when three letters picked without replacement from {q: 7}? 1 What is prob of picking 1 o and 1 m when two letters picked without replacement from {o: 1, w: 3, l: 3, d: 1, p: 2, m: 3}? 1/26 Four letters picked without replacement from rnnnttaannarnani. Give prob of picking 2 a, 1 r, and 1 t. 6/455 What is prob of picking 1 x and 2 p when three letters picked without replacement from {p: 4, x: 1, c: 2}? 6/35 Calculate prob of picking 2 t when two letters picked without replacement from ttttttt. 1 Calculate prob of picking 2 o when two letters picked without replacement from {o: 7, w: 2, k: 11}. 21/190 What is prob of picking 1 p and 1 l when two letters picked without replacement from {j: 3, r: 2, x: 2, p: 2, m: 4, l: 1}? 2/91 Calculate prob of picking 1 v and 1 u when two letters picked without replacement from vubu. 1/3 Three letters picked without replacement from {n: 6, c: 12}. What is prob of picking 2 n and 1 c? 15/68 Four letters picked without replacement from {m: 14, w: 5}. Give prob of picking 4 w. 5/3876 Calculate prob of picking 3 y and 1 r when four letters picked without replacement from {y: 3, f: 1, r: 3, x: 3}. 1/70 Three letters picked without replacement from jyypjjyxxjlp. What is prob of picking 1 l and 2 y? 3/220 Four letters picked without replacement from {w: 1, z: 4, x: 1, i: 2}. What is prob of picking 1 i, 2 z, and 1 w? 6/35 What is prob of picking 2 l and 1 v when three letters picked without replacement from ulvvlluuu? 1/14 Four letters picked without replacement from {j: 6, x: 1, r: 6, v: 1, l: 1, z: 5}. Give prob of picking 1 r, 1 j, 1 z, and 1 l. 12/323 What is prob of picking 1 z and 3 d when four letters picked without replacement from {z: 6, d: 13}? 143/323 Three letters picked without replacement from {b: 1, n: 1, u: 4, a: 3, h: 8}. What is prob of picking 1 h, 1 b, and 1 u? 4/85 Calculate prob of picking 1 x and 1 z when two letters picked without replacement from xzzokkzxxrk. 9/55 Calculate prob of picking 1 p, 1 d, and 1 s when three letters picked without replacement from {o: 3, p: 4, d: 2, s: 1}. 1/15 Two letters picked without replacement from {v: 1, y: 8, i: 1, e: 1, t: 2, b: 1}. What is prob of picking 1 y and 1 b? 8/91 Calculate prob of picking 1 a, 1 h, and 1 b when three letters picked without replacement from bbbhhabbhbhaa. 36/143 Two letters picked without replacement from {y: 1, h: 2, q: 1, u: 1, f: 1, n: 1}. What is prob of picking 1 n and 1 h? 2/21 Calculate prob of picking 1 e and 3 s when four letters picked without replacement from essssseeseeee. 28/143 What is prob of picking 1 m and 1 f when two letters picked without replacement from amaff? 1/5 What is prob of picking 1 j, 2 z, and 1 r when four letters picked without replacement from jrvzrzjzpzkkkvj? 12/455 Calculate prob of picking 1 v and 2 t when three letters picked without replacement from tttvvttttvtttt. 165/364 Calculate prob of picking 3 b and 1 o when four letters picked without replacement from bllbbbbblllboobb. 6/65 Four letters picked without replacement from {n: 9, q: 2}. Give prob of picking 1 q and 3 n. 28/55 Calculate prob of picking 1 b and 2 k when three letters picked without replacement from {b: 15, k: 4}. 30/323 Four letters picked without replacement from jjjjjijijjj. What is prob of picking 2 i and 2 j? 6/55 Two letters picked without replacement from yaaaaaaa. Give prob of picking 2 a. 3/4 Three letters picked without replacement from nao. Give prob of picking 1 a and 2 o. 0 Calculate prob of picking 3 s when three letters picked without replacement from lllssdlllhhsslses. 1/34 Calculate prob of picking 3 t when three letters picked without replacement from rlllttttttl. 4/33 Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {g: 2, k: 2}. 2/3 Four letters picked without replacement from ojzlkmk. Give prob of picking 2 k, 1 l, and 1 j. 1/35 Two letters picked without replacement from {b: 4}. Give prob of picking 2 b. 1 What is prob of picking 1 n and 3 m when four letters picked without replacement from {m: 4, n: 7}? 14/165 Two letters picked without replacement from {b: 1, c: 4, q: 1, z: 3, x: 2}. What is prob of picking 2 c? 6/55 Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {c: 5, t: 1, f: 2, z: 1, y: 1}. 1/9 Calculate prob of picking 2 q and 2 h when four letters picked without replacement from {q: 2, x: 1, h: 2}. 1/5 What is prob of picking 3 h when three letters picked without replacement from ohooohho? 1/56 What is prob of picking 1 a, 2 h, and 1 c when four letters picked without replacement from {h: 8, a: 2, w: 3, c: 6}? 28/323 Calculate prob of picking 1 c, 1 f, 1 d, and 1 b when four letters picked without replacement from {d: 1, b: 4, f: 3, c: 9, r: 1}. 3/85 What is prob of picking 2 r and 1 q when three letters picked without replacement from {q: 7, r: 1, y: 5, w: 3}? 0 Calculate prob of picking 2 d and 2 b when four letters picked without replacement from fbvbaxdd. 1/70 What is prob of picking 1 y and 1 n when two letters picked without replacement from wxznzzyywxzxxzzwzx? 2/153 Four letters picked without replacement from {j: 1, i: 3, w: 4, p: 2, y: 3, f: 4}. What is prob of picking 1 p and 3 w? 2/595 What is prob of picking 3 k when three letters picked without replacement from {q: 4, k: 3}? 1/35 Three letters picked without replacement from xsjqmsxxxmxxqxsxmx. What is prob of picking 1 x and 2 q? 3/272
{ "pile_set_name": "DM Mathematics" }
prob of sequence fff when three letters picked without replacement from ffffff? 1 Four letters picked without replacement from zzzzszzszzzzszszszzz. Give prob of sequence zszz. 455/3876 Two letters picked without replacement from {s: 2, f: 2, v: 8}. Give prob of sequence fv. 4/33 Three letters picked without replacement from bcddbpbddccd. What is prob of sequence pdb? 1/88 Calculate prob of sequence kkl when three letters picked without replacement from kkklkl. 1/5 Four letters picked without replacement from aavva. What is prob of sequence vava? 1/10 Calculate prob of sequence iii when three letters picked without replacement from riiiriiiiiiiri. 165/364 What is prob of sequence gavu when four letters picked without replacement from xxuagbbbubvubbbbbb? 1/24480 What is prob of sequence cce when three letters picked without replacement from {c: 12, e: 6}? 11/68 Calculate prob of sequence qbqr when four letters picked without replacement from bqqrrqrbr. 1/63 Calculate prob of sequence ww when two letters picked without replacement from {w: 7}. 1 Three letters picked without replacement from {j: 6, k: 7}. Give prob of sequence jjk. 35/286 What is prob of sequence rkkk when four letters picked without replacement from {r: 8, k: 5}? 4/143 Four letters picked without replacement from {q: 6, k: 4, a: 2}. What is prob of sequence aakq? 2/495 Calculate prob of sequence jvdv when four letters picked without replacement from {d: 1, v: 1, u: 1, p: 1, j: 1}. 0 Calculate prob of sequence dlll when four letters picked without replacement from {l: 15, d: 3}. 91/816 Four letters picked without replacement from {g: 3, r: 4}. Give prob of sequence rrrg. 3/35 Three letters picked without replacement from xxbbxbbgxbb. Give prob of sequence bgx. 4/165 Calculate prob of sequence uqqu when four letters picked without replacement from uuvuuququququqq. 2/39 Four letters picked without replacement from {t: 2, l: 8, d: 2}. What is prob of sequence lllt? 28/495 What is prob of sequence xx when two letters picked without replacement from {z: 9, x: 7}? 7/40 Four letters picked without replacement from {r: 4, j: 2, g: 1}. Give prob of sequence gjrg. 0 Two letters picked without replacement from lllllllllllllfl. Give prob of sequence ll. 13/15 Calculate prob of sequence rpt when three letters picked without replacement from tppcrpqprrr. 8/495 Three letters picked without replacement from {q: 7, l: 2, r: 5}. What is prob of sequence rqr? 5/78 Two letters picked without replacement from mmmu. What is prob of sequence mm? 1/2 What is prob of sequence qqe when three letters picked without replacement from qqqqeqqqeqeqqqqqqqqq? 34/285 Two letters picked without replacement from ojjoooj. Give prob of sequence oo. 2/7 Calculate prob of sequence dal when three letters picked without replacement from ayludluloduddod. 1/182 What is prob of sequence qxq when three letters picked without replacement from xxxqqqqqxx? 5/36 Two letters picked without replacement from hmhhmhe. What is prob of sequence hh? 2/7 Three letters picked without replacement from ccgcccghggjhj. What is prob of sequence hcj? 5/429 Calculate prob of sequence sswp when four letters picked without replacement from wpsbrbsr. 1/840 Two letters picked without replacement from dyddykyyykyyk. What is prob of sequence ky? 7/52 What is prob of sequence cm when two letters picked without replacement from {m: 3, s: 7, q: 1, e: 1, c: 1}? 1/52 Calculate prob of sequence og when two letters picked without replacement from ooomaoopg. 5/72 Four letters picked without replacement from {r: 7, m: 3}. Give prob of sequence mmmm. 0 What is prob of sequence ckck when four letters picked without replacement from {c: 2, k: 5, a: 3}? 1/126 Calculate prob of sequence cc when two letters picked without replacement from ckccicccccppkcip. 3/10 What is prob of sequence nn when two letters picked without replacement from nnnnnnnnn? 1 Four letters picked without replacement from {z: 2, y: 2}. Give prob of sequence zyzy. 1/6 Calculate prob of sequence yj when two letters picked without replacement from ggggwjmmggkggy. 1/182 Calculate prob of sequence bb when two letters picked without replacement from {d: 1, b: 5, z: 6, r: 1, f: 1}. 10/91 What is prob of sequence jtj when three letters picked without replacement from wtijwjwjwi? 1/120 Two letters picked without replacement from {n: 2, r: 2, k: 1, v: 2, a: 1, z: 4}. What is prob of sequence za? 1/33 Calculate prob of sequence eerr when four letters picked without replacement from {e: 10, r: 4}. 45/1001 Three letters picked without replacement from gtiyj. Give prob of sequence tiy. 1/60 What is prob of sequence uuyu when four letters picked without replacement from yuyuuuuy? 3/28 Calculate prob of sequence xxj when three letters picked without replacement from jxxjxxxjxjx. 28/165 Four letters picked without replacement from vvovlvvolovvvolvvv. What is prob of sequence ollv? 11/3060 What is prob of sequence db when two letters picked without replacement from xbbkbdxbd? 1/9 Three letters picked without replacement from {r: 9, u: 3}. What is prob of sequence uuu? 1/220 What is prob of sequence kcc when three letters picked without replacement from {k: 1, j: 2, n: 4, c: 1}? 0 Four letters picked without replacement from {k: 7, l: 6, j: 1, f: 1}. Give prob of sequence llkf. 1/156 Two letters picked without replacement from {p: 2, e: 1, a: 2, v: 12, g: 1}. Give prob of sequence ge. 1/306 What is prob of sequence kckc when four letters picked without replacement from {k: 2, p: 1, c: 4, r: 2}? 1/126 What is prob of sequence mmld when four letters picked without replacement from ttllltlttdmlxtmlt? 1/4760 Calculate prob of sequence vg when two letters picked without replacement from gghhghhbcvgvv. 1/13 What is prob of sequence sq when two letters picked without replacement from ggmsgcsqgmqgqiggmc? 1/51 Calculate prob of sequence ekk when three letters picked without replacement from kekkekkekk. 7/40 Two letters picked without replacement from {d: 2, p: 9}. Give prob of sequence pd. 9/55 Four letters picked without replacement from {g: 1, i: 1, h: 2, f: 1, c: 1, s: 2}. Give prob of sequence hcfg. 1/840 Four letters picked without replacement from eeeeeeeeee. Give prob of sequence eeee. 1 What is prob of sequence pejj when four letters picked without replacement from jjepejjejjjeep? 5/286 What is prob of sequence tmm when three letters picked without replacement from {h: 2, m: 2, t: 5, a: 6, e: 3}? 5/2448 What is prob of sequence yyl when three letters picked without replacement from {y: 5, l: 3, q: 2}? 1/12 Three letters picked without replacement from tlowowrthoohhhoowwt. What is prob of sequence olo? 5/969 Two letters picked without replacement from mlbvg. What is prob of sequence bg? 1/20 Calculate prob of sequence iff when three letters picked without replacement from yifyylyfyyffy. 1/143 Calculate prob of sequence ftt when three letters picked without replacement from {f: 3, t: 12}. 66/455 Calculate prob of sequence vzvv when four letters picked without replacement from zzvvvzv. 3/35 Three letters picked without replacement from {h: 1, z: 3, a: 3, r: 3}. Give prob of sequence rzh. 1/80 Calculate prob of sequence vixv when four letters picked without replacement from {v: 4, x: 1, i: 2}. 1/35 Two letters picked without replacement from {p: 1, m: 1, r: 1}. What is prob of sequence mp? 1/6 Calculate prob of sequence oggo when four letters picked without replacement from gooogogoooo. 7/165 Two letters picked without replacement from {u: 1, n: 2, j: 1, e: 1}. Give prob of sequence je. 1/20 Four letters picked without replacement from ccwcccwcwwccwccc. What is prob of sequence cccc? 33/182 Three letters picked without replacement from {j: 3, b: 4}. What is prob of sequence bbb? 4/35 Three letters picked without replacement from sssssslslllssslslls. Give prob of sequence sss. 220/969 What is prob of sequence pll when three letters picked without replacement from plllpplplllllp? 15/91 Calculate prob of sequence ttj when three letters picked without replacement from {p: 6, v: 2, j: 3, t: 2, b: 3}. 1/560 What is prob of sequence nbbp when four letters picked without replacement from kbnbkpkkppnhybbknbbk? 3/1292 Wha
{ "pile_set_name": "DM Mathematics" }
? 15500 How many millimeters are there in 1/4 of a meter? 250 What is one fifth of a decade in months? 24 How many grams are there in one tenth of a kilogram? 100 How many meters are there in 29/5 of a kilometer? 5800 How many tonnes are there in 0.2292064 nanograms? 0.0000000000000002292064 How many millimeters are there in 13/5 of a centimeter? 26 How many millilitres are there in 26/5 of a litre? 5200 How many months are there in four thirds of a century? 1600 What is 1/4 of a litre in millilitres? 250 What is 25.66899 grams in kilograms? 0.02566899 What is 84139.26mm in nanometers? 84139260000 What is 1/5 of a litre in millilitres? 200 What is 40609.38 milligrams in nanograms? 40609380000 What is 7/2 of a litre in millilitres? 3500 What is thirty-three fifths of a meter in centimeters? 660 What is 7/2 of a kilogram in grams? 3500 Convert 449099.7 kilometers to meters. 449099700 What is fourty-three halves of a millimeter in micrometers? 21500 Convert 308532.5ml to litres. 308.5325 How many years are there in 1/5 of a millennium? 200 How many nanometers are there in one quarter of a micrometer? 250 How many millimeters are there in 6/25 of a meter? 240 What is fifty-four fifths of a minute in seconds? 648 What is 0.6803907 centimeters in meters? 0.006803907 How many grams are there in 5/4 of a kilogram? 1250 What is three fifths of a century in years? 60 What is three tenths of a minute in milliseconds? 18000 Convert 973891.2ms to minutes. 16.23152 What is 0.6609475 litres in millilitres? 660.9475 What is 53.75035nm in millimeters? 0.00005375035 Convert 301443.4 milligrams to kilograms. 0.3014434 How many grams are there in 47/4 of a kilogram? 11750 Convert 9561.527t to milligrams. 9561527000000 How many millilitres are there in six fifths of a litre? 1200 How many milliseconds are there in 924.2883us? 0.9242883 What is one sixteenth of a millimeter in nanometers? 62500 What is 323825.7 millimeters in meters? 323.8257 How many millilitres are there in 13/8 of a litre? 1625 What is 6.290924 millimeters in micrometers? 6290.924 How many millilitres are there in 6909.202 litres? 6909202 What is 55/2 of a meter in millimeters? 27500 What is sixteen sevenths of a week in hours? 384 How many centimeters are there in 1/10 of a kilometer? 10000 How many millilitres are there in 5/8 of a litre? 625 How many centuries are there in 46/5 of a millennium? 92 What is 2272.449g in tonnes? 0.002272449 What is fifty-seven fifths of a millennium in centuries? 114 How many millilitres are there in 7.89164 litres? 7891.64 What is 18/5 of a litre in millilitres? 3600 How many decades are there in twenty-nine halves of a century? 145 How many years are there in 1.397321 centuries? 139.7321 What is twenty-seven quarters of a kilometer in meters? 6750 What is 327.745 nanoseconds in seconds? 0.000000327745 How many centuries are there in 694156.9 decades? 69415.69 How many meters are there in 50.9303 micrometers? 0.0000509303 How many litres are there in 589443.7ml? 589.4437 Convert 0.5301672 centuries to decades. 5.301672 How many tonnes are there in 434.5828g? 0.0004345828 How many seconds are there in 67.5128us? 0.0000675128 How many nanometers are there in six fifths of a micrometer? 1200 What is 49.18755 nanograms in micrograms? 0.04918755 What is 4952.884 millennia in years? 4952884 Convert 69432.15l to millilitres. 69432150 How many seconds are there in 1/36 of a day? 2400 What is 3/5 of a microgram in nanograms? 600 Convert 840.45681 microseconds to hours. 0.000000233460225 Convert 6111.928 centuries to decades. 61119.28 What is 2847.088 millilitres in litres? 2.847088 What is 1/4 of a litre in millilitres? 250 How many centimeters are there in 31/2 of a meter? 1550 What is 145.39047 months in millennia? 0.0121158725 What is 751.674 tonnes in micrograms? 751674000000000 What is one quarter of a litre in millilitres? 250 What is one sixteenth of a milligram in nanograms? 62500 What is 35.688195 milliseconds in days? 0.0000004130578125 What is 2/125 of a second in microseconds? 16000 What is one tenth of a litre in millilitres? 100 What is 0.7336869nm in centimeters? 0.00000007336869 How many years are there in 976.8604 centuries? 97686.04 Convert 0.2883101ml to litres. 0.0002883101 What is twenty-seven fifths of a litre in millilitres? 5400 How many minutes are there in 1015.9782 seconds? 16.93297 How many seconds are there in one sixteenth of a day? 5400 How many kilograms are there in 3970.15g? 3.97015 Convert 6.318078 minutes to seconds. 379.08468 What is five sixths of a hour in seconds? 3000 How many microseconds are there in 17/4 of a millisecond? 4250 How many litres are there in 49801.43 millilitres? 49.80143 How many nanoseconds are there in 0.5947803 seconds? 594780300 How many milliseconds are there in 6/5 of a minute? 72000 What is 186.8001723s in weeks? 0.00030886271875 How many micrograms are there in fifty-four fifths of a milligram? 10800 How many centimeters are there in 37/5 of a meter? 740 What is fifty-one halves of a millennium in centuries? 255 How many minutes are there in 25/7 of a week? 36000 What is twenty-seven quarters of a litre in millilitres? 6750 Convert 495730.9 grams to milligrams. 495730900 What is 3.818541g in milligrams? 3818.541 Convert 7.568169 months to decades. 0.063068075 How many decades are there in 0.3098662 years? 0.03098662 How many grams are there in 0.0025147ug? 0.0000000025147 What is three fifths of a litre in millilitres? 600 How many millilitres are there in 6/25 of a litre? 240 How many millilitres are there in 4846.68 litres? 4846680 What is 3/32 of a tonne in grams? 93750 How many minutes are there in 29/3 of a hour? 580 Convert 0.8026658 centuries to years. 80.26658 What is 9046.681 weeks in days? 63326.767 How many centuries are there in fourty-six fifths of a millennium? 92 How many centimeters are there in 42/5 of a meter? 840 What is 2883.4332 months in years? 240.2861 How many milliseconds are there in 52/5 of a second? 10400 Convert 31.21823 millimeters to meters. 0.03121823 What is 3739.78 centuries in millennia? 373.978 What is three tenths of a litre in millilitres? 300 What is 469.786 millennia in months? 5637432 How many millilitres are there in 82.0214 litres? 82021.4 Convert 20414.85 millilitres to litres. 20.41485 Convert 0.4058712 millilitres to litres. 0.0004058712 What is eleven quarters of a kilogram in grams? 2750 How many years are there in 87.48667 decades? 874.8667 What is thirteen eighths of a meter in millimeters? 1625 What is 30291.4 decades in months? 3634968 What is 2/75 of a century in months? 32 How many millilitres are there in 12/25 of a litre? 480 What is 48/5 of a minute in seconds? 576 What is 55/4 of a kilometer in meters? 13750 What is 48/5 of a microgram in nanograms? 9600 What is 3/25 of a kilogram in grams? 120 What is six fifths of a microgram in nanograms? 1200 What is 0.6385544 micrometers in kilometers? 0.0000000006385544 What is 0.8053607 days in milliseconds? 69583164.48 How many micrometers are there in 3/16 of a centimeter? 1875 What is 1/4 of a micrometer in nanometers? 250 How many micrograms are there in 13/5 of a milligram? 2600 How many kilometers are there in 0.9560609nm? 0.0000000000009560609 What is thirteen quarters of a litre in millilitres? 3250 What is 27/2 of a century in decades? 135 What is 57532.3 years in millennia? 57.5323 What is one quarter of a gram in milligrams? 250 What is 93.83709 millennia in centuries? 938.3709 What is 0.66807 millimeters in micrometers? 668.07 Convert 29263.44 millimeters to centimeters. 2926.344 What is 622.0425kg in milligrams? 622042500 How many meters are there in 5339.478cm? 53.39478 How many centimeters are there in three fifths of a meter? 60 Convert 0.278484l to millilitres. 278.484 Convert 6407.351km to micrometers. 6407351000000 Convert 41036.6 decades to millennia. 410.366 How many kilograms are there in three fifths of a tonne? 600 What is 7197.311 litres in millilitres? 7197311 What is one fifth of a litre in millilitres? 200 How many micrograms are there in 3/5 of a milligram? 600 What is eighty-eight fifths of a tonne in kilograms? 17600 What is 2863.283 millilitres in litres? 2.863283 Conver
{ "pile_set_name": "DM Mathematics" }
784345560338. 2*(x - 626237)**2 What is a in 4*a**2 - 392*a + 6900 = 0? 23, 75 Determine a so that a**2/2 + 5590*a - 11182 = 0. -11182, 2 Solve -1311*k**2/7 + 3939*k/7 - 18/7 = 0 for k. 2/437, 3 What is i in -6*i**2 - 2550778*i + 850260 = 0? -425130, 1/3 Solve 4*q**5 - 620*q**4 + 6404*q**3 - 9748*q**2 - 6408*q + 10368 = 0. -1, 1, 2, 9, 144 Factor 44*z**2 + 13*z/3. z*(132*z + 13)/3 Let 3*q**3/4 + 11704*q**2 - 7803*q = 0. What is q? -15606, 0, 2/3 Factor -4*z**3 - 1100*z**2 - 73948*z + 231852. -4*(z - 3)*(z + 139)**2 Factor -5*j**2 - 52245*j. -5*j*(j + 10449) Suppose -12*u**2/7 + 1388*u/7 + 464/7 = 0. What is u? -1/3, 116 Factor 4*y**3 + 27800*y**2 - 111284*y - 139080. 4*(y - 5)*(y + 1)*(y + 6954) Find f, given that -2*f**2 - 66704*f - 556177952 = 0. -16676 Suppose b**3 + 41*b**2 + 79*b + 39 = 0. Calculate b. -39, -1 Factor -2*x**3 - 6524*x**2 + 26120*x - 26128. -2*(x - 2)**2*(x + 3266) Solve -2*y**3/11 + 90*y**2/11 + 224*y/11 - 1248 = 0. -12, 13, 44 Factor 3*x**5/4 + 681*x**4/4 + 28575*x**3/2 + 526875*x**2 + 7218750*x. 3*x*(x + 50)**3*(x + 77)/4 Factor -4*h**2 + 10908*h - 10904. -4*(h - 2726)*(h - 1) Factor 5*n**3/3 - 700*n**2 + 4165*n/3 + 2090. 5*(n - 418)*(n - 3)*(n + 1)/3 Determine q, given that 16*q**4/7 - 25692*q**3/7 + 6416*q**2 = 0. 0, 7/4, 1604 Solve 3*s**3 - 2403*s**2 - 53955*s - 298749 = 0. -11, 823 Solve 3*k**3 - 29934*k**2 - 59877*k - 29940 = 0 for k. -1, 9980 Let 3*k**4 - 3840*k**3 + 64602*k**2 - 238464*k - 306909 = 0. Calculate k. -1, 9, 1263 Factor 4*g**2 - 55492*g - 55496. 4*(g - 13874)*(g + 1) Let -3*i**4 + 1158*i**3 - 68547*i**2 - 8337600*i - 155520000 = 0. Calculate i. -32, 225 Find r, given that -r**4/2 + 287*r**3/2 - 8552*r**2 + 50304*r + 4073472 = 0. -17, 48, 208 Solve -2*y**4/7 - 26*y**3/7 + 954*y**2/7 - 4806*y/7 + 6696/7 = 0 for y. -31, 3, 12 Find j, given that -3*j**4/2 + 1221*j**3 - 4875*j**2/2 + 1218*j = 0. 0, 1, 812 Solve -5*q**5 - 1305*q**4 - 92190*q**3 - 1931500*q**2 + 2025000*q = 0 for q. -162, -50, 0, 1 Factor l**3 + 269905*l**2 + 18212042303*l - 18212312209. (l - 1)*(l + 134953)**2 Factor l**2/4 - 24690*l + 609596100. (l - 49380)**2/4 Factor -m**4 + 410*m**3 - 42024*m**2 - 410*m + 42025. -(m - 205)**2*(m - 1)*(m + 1) Find t such that 5*t**5 - 605*t**4 + 18865*t**3 - 52435*t**2 + 34170*t = 0. 0, 1, 2, 51, 67 Factor k**3/2 - 1292*k**2 - 31165*k/2 + 16874. (k - 2596)*(k - 1)*(k + 13)/2 Find d, given that -3*d**3 - 4032*d**2 - 20103*d - 24102 = 0. -1339, -3, -2 Determine x so that -2*x**2/3 + 6100*x/3 + 18354 = 0. -9, 3059 Let -4*i**5 + 84*i**4 - 252*i**3 - 2612*i**2 + 5664*i - 2880 = 0. What is i? -5, 1, 12 Factor -5*s**2 + 798390*s - 31871329605. -5*(s - 79839)**2 Factor 3*c**3 - 217785*c**2 + 217776*c + 435564. 3*(c - 72594)*(c - 2)*(c + 1) Suppose 54*d**5 - 436*d**4 + 518*d**3 + 936*d**2 - 72*d = 0. Calculate d. -1, 0, 2/27, 3, 6 Factor 2*v**2/7 + 32530*v/7 - 13944. 2*(v - 3)*(v + 16268)/7 Suppose p**3/4 - 711*p**2/4 - 17940*p + 22240400 = 0. Calculate p. -329, 520 Factor -293*u**2/2 + 3505*u/4 + 33/2. -(u - 6)*(586*u + 11)/4 Solve y**4 - 8*y**3 - 1204*y**2 + 7328*y - 9792 = 0. -34, 2, 4, 36 Determine k so that k**3/3 + 733*k**2/3 - 734*k/3 = 0. -734, 0, 1 Determine y so that 172*y**3 - 772*y**2 - 184*y + 2080 = 0. -65/43, 2, 4 Determine t so that 21*t**5 + 1670*t**4 + 3023*t**3 - 466*t**2 = 0. -233/3, -2, 0, 1/7 Solve -w**3/2 + 117*w**2/2 - 2295*w/2 + 5859/2 = 0 for w. 3, 21, 93 Factor -k**2/7 - 933*k/7 + 72360/7. -(k - 72)*(k + 1005)/7 Factor d**2 - 15287*d - 91758. (d - 15293)*(d + 6) Factor 6*c**4/11 + 66350*c**3/11 + 244580844*c**2/11 + 300562676712*c/11 + 100160385712/11. 2*(c + 3686)**3*(3*c + 1)/11 Determine j so that 4*j**5 + 204*j**4 - 1588*j**3 + 2116*j**2 + 1584*j - 2320 = 0. -58, -1, 1, 2, 5 Factor 5*h**5 + 85545*h**4 + 487863135*h**3 + 927427819635*h**2. 5*h**2*(h + 5703)**3 Suppose 2*b**5 - 686*b**4/3 + 1934*b**3 + 8582*b**2/3 - 13760*b + 4200 = 0. Calculate b. -3, 1/3, 2, 10, 105 Factor -116585*g**2/2 - 349753*g/2 + 3. -(g + 3)*(116585*g - 2)/2 Solve 2*x**2 - 70*x + 68 = 0 for x. 1, 34 Let m**3 - 366*m**2 + 7911*m - 7546 = 0. Calculate m. 1, 22, 343 Find a such that -5*a**5 + 35*a**4 + 225*a**3 - 1955*a**2 + 800*a + 10500 = 0. -7, -2, 5, 6 Suppose -r**3/7 - 2139*r**2 = 0. What is r? -14973, 0 Determine u, given that -3*u**4 - 96*u**3 - 753*u**2 - 660*u = 0. -20, -11, -1, 0 Factor -h**2/3 + 3059*h/3 + 1020. -(h - 3060)*(h + 1)/3 Factor 4*o**2 - 85040*o + 451987600. 4*(o - 10630)**2 Find n, given that 10*n**4 - 704*n**3 - 7486*n**2 - 15436*n - 6720 = 0. -7, -2, -3/5, 80 Factor -343*j**5/5 + 19306*j**4/5 - 368424*j**3/5 + 499230*j**2 - 2146689*j/5. -j*(j - 1)*(7*j - 129)**3/5 Factor -2*n**3 + 186*n**2 - 2782*n - 10074. -2*(n - 73)*(n - 23)*(n + 3) Factor -5*p**3 + 3275*p**2 + 398480*p + 395200. -5*(p - 760)*(p + 1)*(p + 104) Solve 2*t**5/3 - 8*t**4 + 6*t**3 + 764*t**2/3 - 1080*t + 1200 = 0. -6, 2, 5, 6 Determine u, given that 100*u**2 - 1780*u + 7192 = 0. 31/5, 58/5 Determine v so that -2*v**4/5 + 78*v**3/5 - 52*v**2/5 - 912*v/5 = 0. -3, 0, 4, 38 Let -93*r**2 - 1884*r - 480 = 0. Calculate r. -20, -8/31 Find n such that -300*n**5 - 2860*n**4 + 8924*n**3 - 6612*n**2 - 608*n + 1456 = 0. -182/15, -2/5, 1 Factor k**4 - 168*k**3 + 8396*k**2 - 137952*k + 243648. (k - 94)*(k - 36)**2*(k - 2) Factor 2*b**4 - 30000*b**3 + 112619936*b**2 - 899520000*b + 1798080512. 2*(b - 7496)**2*(b - 4)**2 Factor 14*b**3/5 - 745*b**2 - 7238*b/5 + 536/5. (b - 268)*(b + 2)*(14*b - 1)/5 Determine y, given that -2*y**2/3 + 412*y + 15696 = 0. -36, 654 Factor -15*y**3 - 92920*y**2 - 143933075*y - 95914090. -5*(y + 3097)**2*(3*y + 2) Find k such that 20*k**2 - 2135*k - 9435 = 0. -17/4, 111 Factor 2515*i**4 + 493*i**3 - 2*i**2. i**2*(5*i + 1)*(503*i - 2) Let -n**4/2 + 69*n**3/2 - 372*n**2 - 7840*n - 19200 = 0. Calculate n. -8, -3, 40 Solve g**4 - 292*g**3/5 + 5641*g**2/5 - 7378*g + 13872/5 = 0. 2/5, 17, 24 Solve 15*v**4 + 6*v**3 - 549*v**2 - 216*v + 324 = 0. -6, -1, 3/5, 6 What is b in 3*b**3 + 22497*b**2 + 448677*b - 471177 = 0? -7479, -21, 1 Factor z**2/4 + 156439*z + 24473160721. (z + 312878)**2/4 Factor -4*i**4/3 + 64*i**3 - 768*i**2. -4*i**2*(i - 24)**2/3 Suppose -5*j**2 - 43830*j - 2611800 = 0. Calculate j. -8706, -60 Factor 4*o**2 - 18580*o + 37144. 4*(o - 4643)*(o - 2) Factor d**2/5 + 304*d/5 + 3696. (d + 84)*(d + 220)/5 Let -2*j**4/5 + 264*j**3/5 - 726*j**2/5 - 6352*j/5 + 4128 = 0. Calculate j. -5, 4, 129 Let j**2/2 + 3053*j + 6104 = 0. What is j? -6104, -2 Factor 4374*h**2 + 148713*h - 102. 3*(h + 34)*(1458*h - 1) What is y in y**3/8 - 10*y**2 + 113*y/2 - 74 = 0? 2, 4, 74 Determine a, given that a**3/2 + 3221*a**2 - 19333*a/2 + 6445 = 0. -6445, 1, 2 Factor -2*f**2 + 6780*f. -2*f*(f - 3390) Factor -128*u**4 + 29408*u**3 - 194616*u**2 + 434970*u - 325134. -2*(u - 223)*(4*u - 9)**3 Solve 3*o**3/4 + 831*o**2/4 + 1404*o - 3645 = 0. -270, -9, 2 Factor u**4/2 - 67*u**3/2 + 425*u**2. u**2*(u - 50)*(u - 17)/2 Let -3*w**3/5 - 1042692*w**2/5 - 90600550572*w/5 = 0. Calculate w. -173782, 0 Determine i so that -4*i**3 + 33492*i**2 + 4*i - 33492 = 0. -1, 1, 8373 Factor 2*m**3/13 + 5510*m**2/13 + 3952336*m/13 + 214418272/13. 2*(m + 59)*(m + 1348)**2/13 Let -2*o**4/3 + 579*o**3/2 + 13225*o**2/3 + 6141*o/2 - 3143/3 = 0. What is o? -14, -1, 1/4, 449 Factor 5*l**3 + 329*l**2 + 1396*l - 4148. (l - 2)*(l + 61)*(5*l + 34) Determine h, given that 3*h**4/7 + 78*h**3/7 - 1425*h**2/7 + 3684*h/7 - 2340/7 = 0. -39, 1, 2, 10 Factor -x**2/5 + 6014*x/5 + 84392/5. -(x - 6028)*(x + 14)/5 Let 100*a**4 - 4276*a**3 - 2632*a**2 + 68416*a + 16512 = 0. What is a? -4, -6/25, 4, 43 Determine m, given that 5*m**4 + 2320*m**3 + 150535*m**2 - 2320*m - 150540 = 0. -386, -78, -1, 1 Factor -4*p**2 + 16340*p - 48984. -4*(p - 4082)*(p - 3) Factor 4*i**2 - 2379288*i + 353813211684. 4*(i - 297411)**2 Factor -y**3 + 206*y**2 + 4789*y - 4994. -(y - 227)*(y - 1)*(y + 22) Determine o so that -2*o**3/7 - 456536*o**2/7 + 913078*o/7 - 65220 = 0. -228270, 1 Factor 11858*k**5/3 - 7854*k**4 + 23101*k**3/6 + 51*k**2 + k/6. k*(k - 1)**2*(154*k + 1)**2/6 Let 5*h**2 + 230430*h + 230425 = 0. Calculate h. -46085, -1 Suppose 406*u**3/3 - 4888*u**2/3 + 4936*u - 192 = 0. Calculate u. 8/203, 6 Factor -t**3/2 + 720*t**2 + 2888*t. -t*(t - 1444)*(t + 4)/2 Factor 98*y**2/13 + 597128*y/13 + 9
{ "pile_set_name": "DM Mathematics" }
4 = -400. Solve -5*k + p - 2*p - 8 = 0, -4*k - i = -4*p for k. -2 Let x be (-304 - -304)/(2 - (1 + -1)). Solve 3*l + x = -4*s - 4, 3*s + l = -8 for s. -4 Let o(d) = -11*d - 8. Let c be o(-1). Suppose 0 = 11*a - c*a - 16. Solve -5*s + m = 23, 2 = -a*s - m - 3 for s. -4 Suppose 2993 + 6005 = 22*c. Let h = c + -405. Solve h*r = 2*y - 26, -7 = -4*y + 3*r + 20 for y. 3 Suppose -12*y + 183 = 27. Suppose -12*f = -y*f + 3. Solve 0 = -f*d - 3*s + 9, d + 2*d + s = 3 for d. 0 Let j = -1769 + 1177. Let v = -589 - j. Solve -i = 2*r + 12, -5*r + 0 = -v*i + 8 for r. -4 Let y be (93 - -1)*(-2)/(-60) + (-6)/45. Solve 5*p - 3*v + 6*v = 7, -y*v = -3*p + 9 for p. 2 Let j = 97 + -58. Let s = j - 33. Let b = -13 + 15. Solve -b*a - l + 2 = -5*a, -5*a - s = l for a. -1 Let y(u) = -u**2 + 21*u + 5. Let r be y(21). Let i be 1*r - (-5 - 1 - -8). Solve 0 = -2*f - i*z - 7, 17 = -2*f - 6*z + z for f. 4 Suppose -3*n - 7 = -25. Let w(d) = -d**2 + 3*d + 16. Let p be w(-3). Let k be 3/(-12)*10*p. Solve 2*v - 6 = -k*h + 4, 3*h = 5*v + n for v. 0 Suppose 4*j = -4*o + 476, 4*o - 119*j = -117*j + 482. Solve -4*v = -2*n + 2, -121*v = -5*n - o*v - 4 for n. -1 Let f = 232 - -14. Let c = -242 + f. Solve h - k = 0, -c*k = 4*h + 16 + 16 for h. -4 Suppose -23 = -4*y - 3*h, 0 = y - 5*h - 24 + 47. Solve -3*f = -7*z + y*z + 28, 36 = 3*f + 3*z for f. 4 Suppose 2*b = 375 - 369. Solve 5*v = 4*d - 48 + b, 5*v = 5*d - 50 for v. -5 Let p = 5879 - 5874. Let x = 9 - 4. Solve 4*n - 22 + 4 = p*z, x*z = -5*n for z. -2 Let p be (-5971)/(-9 + 2) + 5. Let i = p + -853. Solve 0 = 5*a + 3*m - 12, -i*a + m + 16 = -0*m for a. 3 Suppose -30*k = -25*k - 10, -3*k = -2*c + 8. Solve 3 = -2*z - 3*o, -2*z + c - 2 = -5*o for z. 0 Suppose m + 5*g = 30, 462*g - 465*g + 30 = 3*m. Solve -5*f - 2*i = 3*i + 45, -37 = m*f + 3*i for f. -5 Let q = 3 - 0. Suppose 2*z + 3*p = 16, 15 = -z + 6*z - 5*p. Suppose 2*i + 17 = z*n, -3*n = -0*i - i - 11. Solve -4*x - x = q*v, -i*x + v = 17 for x. -3 Suppose 5*f = i + 5, 20*i = 15*i + f - 1. Solve -5*z - 4*j = i, -5*z = -12*j + 11*j for z. 0 Let w be 7 + 1 + -1 + -3. Suppose -w*u + 202 = 186. Solve -5*k + 10 = -2*i, -u*i + 6 = -k + 4*k for i. 0 Let y = 6164 + -6161. Solve s - y = 0, -3*n + n - s = -7 for n. 2 Let a = 4004 - 3991. Solve -m - 3 = -11*p + a*p, 5*p = -4*m - 6 for p. -2 Let l = 15828 + -15793. Solve -l*d + 36*d - k = 2, 4*k = 3*d - 5 for d. 3 Suppose 3*r - 3 = 3*t, 0 = 2*t + 5 - 3. Solve 2*n + 2*y - 22 = -18, 3*n - y + 14 = r for n. -3 Suppose 40*n - 39*n - 160 = 0. Let r be (n/(-360))/(2/(-9)). Solve -3*w + z = 11, w = r*w - 3*z + 17 for w. -2 Let z = -1819 - -1918. Solve f + 3*p + 1 = 0, 0 = 4*f + p - 95 + z for f. -1 Suppose 2260 - 2320 = -15*m. Solve -12 = 8*l + 3*j - 38, m*j + 8 = 0 for l. 4 Let x = -10 - -13. Let d = 229 - 211. Solve 3*l = -x*v + d, -4*l = 3*v - 16 - 6 for l. 4 Suppose -5*b - 30 = -n + 6*n, 3*b = 5*n + 14. Let o(v) = v**3 + 5*v**2 + 5*v + 3. Let l be o(b). Solve h = 3*f + l, h - f + 2 = 1 for h. -4 Let s be -1*(1 - 0) - -6*1. Suppose 0 = g + v - 1, 4*g = 8*g + 5*v - s. Solve -4*m + m + 5*o + 12 = g, 0 = 4*o for m. 4 Let n(v) = -238*v - 1897. Let t be n(-8). Solve -4*r + l = -2*l - t, 20 = -4*l for r. -2 Let g(x) = 52*x - 2 - 52 - 17*x - 13. Let w be g(2). Solve n - 3*k - 9 = 0, -w*n + 4 = -k + 9 for n. -3 Suppose -106*i + 85*i = -84. Solve -m + 17 = 3*b, -6*m = -11*m + i*b + 9 for m. 5 Let o be -2*1/(-2) + 95. Suppose 0*q = 3*q + 2*v - o, -129 = -4*q - 3*v. Let a be 18/q - 21/(-15). Solve -17 = -i + 6*i + f, a*f = -2*i - 10 for i. -3 Let y = 25874 + -25869. Solve -4*r = 2*v - 102 + 100, 2 = -y*r - 4*v for r. 2 Let f = 160 + -188. Let s(p) = -2*p - 56. Let z be s(f). Solve -4*d + 4*q - 4 = z, 4*d - 4*q = d - 1 for d. -3 Let k be (-5 + 2)/(9/(-21)). Let c(h) = 11*h**2 - 3 - 18*h**2 + 0 - k*h + 6*h**2. Let g be c(-6). Solve -2*w - d = 0, -5*d + 2 = g*w - 3*d for w. -2 Suppose -67582 = -11*v - 67560. Solve u = 5*y - 22 + 2, -2*y = -v*u - 16 for y. 3 Let x = 3140 + -3137. Solve 0 = -4*g + 2*t - 16, 5*g + x*t - 20 = -29 for g. -3 Let s(f) = f**2 - 10*f - 2. Let a be s(10). Let n = 47 + -50. Let t be (3 + a)*(n + 6). Solve -x - 3*x + j = -3, -t*x - 9 = -3*j for x. 2 Suppose 12*c + 27*c - 85 = 22*c. Solve -c*x + 11 = 2*p, -4*p - 57 + 52 = x for x. 3 Suppose -653*l + 324 = -647*l. Suppose -7*j + 82 = l. Solve -5*t = -4*x + 4, j*x + t = 4 - 0 for x. 1 Suppose b - 32 + 12 = -4*j, 5*b - 36 = -4*j. Let d = 7 - 3. Let y(s) = 26598*s - 53196. Let f be y(2). Solve 5*h + 5*m + 10 = 0, d*h = -f*m + b*m + 8 for h. 0 Let u be (-1)/((-2)/(-14)) + -2 + 100/2. Solve -u*j + 5*x + 13 = -42*j, 4*j - 5*x + 2 = 0 for j. -3 Let h(k) = -2*k - 2. Let x be h(-6). Let i = x - 7. Let c be (-3)/(198/(-24))*11. Solve -c*f = -0*f + 4*n - 4, 9 = -i*f + 3*n for f. -1 Let i be (4 - -5)*(5 + -4). Suppose 4*b = -5*t + 12, 4*b - i - 3 = -2*t. Solve -b*z + w = 1 - 0, 10 = -5*w for z. -1 Let r = 24 + -14. Suppose -96*z + 8 = -94*z. Suppose 0 = -3*p - 12, -3*p = -z*b + 7 + 45. Solve m + r = -2*d + 2*m, -5*d - b = 5*m for d. -4 Let y(d) = 11*d + 0*d**3 + 8*d**2 + 1 - 3 + d**3 - 2. Let h be y(-6). Suppose -3*r = h - 62. Solve 4*x + r = v, -x - 4 = x + v for x. -4 Suppose -9*s + 94 + 887 = 0. Let h = -106 + s. Solve 0 = h*y - 5*b - 0*b + 5, -4*y + 3*b = 3 for y. 0 Let z be 84/(-48)*(-2)/(-7)*-8. Suppose y + 2*s - 11 = 0, z*y - 7*y + 18 = s. Let o be (-16)/12*(-10 + 1). Solve 3*i = -y*r - 8, 0 = 4*r + i - 0*i + o for r. -4 Suppose -4*p + 385 = 3*p. Let v = p - 50. Suppose -4*o + 15 = 2*k - 3, -5*o + 25 = v*k. Solve 2*m - 8 = -3*n, -k = m + n - 3 for m. -2 Suppose -2*p = 2*p - p. Suppose p = -5*v - 2 - 8. Let r be (((-15)/2)/5)/(1/v). Solve -3*n + 2 = r*h - 10, 3*h + 8 = 2*n for n. 4 Suppose 0 = 2*d - q - 37, 22 = d - 13*q + 9*q. Solve -o - 16 = -3*t, -23*t + 24 = o - d*t for o. -1 Suppose 2*w = 3*j - 16, -4*w + 8*j = 3*j + 30. Let v be (15/w)/((-6)/4) - 0. Let f = -28 + 32. Solve -x + 0*x - 4 = 0, x = -v*u - f for u. 0 Let z be (-1455)/(-15) - 4/1. Let n = 103 - z. Solve 3*p = 4*d - 16, 0 = -d - 3*p - n - 1 for d. 1 Let h be 570/12*(-12)/(-15). Suppose -24*g - 56 = -h*g. Solve g*m + 3*c = 0, 3*c = -0*m + 2*m for m. 0 Suppose 0 = 249*f - 250*f + 3. Solve -9*z - 1 = -f*c - 7*z, 0 = -5*c - 4*z + 31 for c. 3 Suppose -19 - 1 = 2*k. Let r be (-2 - (3 + 2))*(-1 - k). Let u = -63 - r. Solve 0 = 5*x + 5*d - 20, u = -x + 6*x - 3*d - 20 for x. 4 Suppose p + 7 = o, 4*p = -56*o + 57*o - 19. Suppose o*c - 4 = -c. Solve -5*a = -v - 29, -c = -5*v - 3*a - 6 for v. -4 Let x = 144 - 139. Suppose -2*v + 5 = -u, -4*v = v + x*u - 35. Solve z + 3*i = -4, 28 = 3*z - 3*i + v for z. 5 Let q be 20/(-20 - -10 - -14). Solve 16 = 3*d - o, 0*d = -d + q*o + 24 for d. 4 Let x be 1*24/(-9)*(-3)/2. Solve -x*b + 5*c = 49 - 18, -4*b - 22 = -2*c for b. -4 Let r = -33 - -45. Suppose 106*g = 109*g - r. Solve 8 = a + 2*a - q, 4*a + g*q + 16 = 0 for a. 1 Let p(h) = -h**2 + 9*h + 20. Let v be p(8). Let z = 107 - v. Let b = 81 - z. Solve g = -b*y + 5, 0 = -2*g - 7*y + 2*y + 14 for g. -3 Suppose 0 = -13*w + 11*w - 5*v - 24, 0 = -5*w - 5*v - 15. Let f = -4 - -4. Suppose f*c = c. Solve 4*o = c, -3*y + w*o = -1 + 7 for y. -2 Suppose -5*w - b + 72 = -32, 2*w + 2*b = 40. Solve -w = -4*s - g, -12 = 2*s - 9*g + 5*g for s. 4 Suppose 0 = 5*l - 35 + 35. Suppose 3*u + 12*r = 11*r + 1, l = -2*u - r - 1. Suppose 5 = 3*g - 4. Solve 4*y - g*f = 8, y - u*f = 1 + 1 for y. 2 Let m be 6/21 + 684/(-42). Let s be (20/m)/((63/56)/(-9)). Solve -5*d - s = 4*x, 2*x = 7*x - 5*d - 10 for x. 0 Let t(g) = -15*g - 4 + 9*g + 7*g. Let w be t(9). Solve -w*y + k = -2*k - 5, -3*k - 11 = -2*y for y. -2 Suppose -164 = 269*q - 310*q. Solve -41 = 7*a - 12*a + q*j, -2*a = 4*j + 6 for a. 5 Let f = -147 - -152. Suppose f*u = -5*u + 30. Solve 4*k + 3 = 5*m + 2*k, 0 = -u*m + 4*k - 1 for m. 1 Suppose 3*m - 5*a + 8 = 0, -a + 94 - 86 = m. Solve -3*i + 3*c = -3, 53*c = 4*i + 52*c - m for i. 1 Suppose -14 = -4*t + 4*j + 14, 5*t - 3*j - 29 = 0. Suppose d = -0*v + v - 4, 16 = t*v - 3*d. Solve -w + 4*s - v - 6 = 0, -8 = 2*w - 4*s for w. 2 Let u(d) = -d**2 + 21*d + 1376. Let r be u(-28). Solve 0 = 3*v - r*h + 16, -h - 4 = -5*h for v. -4 Suppose -2*h = 2*y + 14 - 36, -h = -y - 27. Solve 3*n - h*q = -21*q + 25, -5 = -q for n. 5 Let f(x) = -x**2 + 30*x + 306. Let z be f(-8). Solve -47*y + 45*y +
{ "pile_set_name": "DM Mathematics" }
d*m**2 + 3*d*m + 452229*m**2 - 3*m wrt d? -453679*m**2 + 3*m Find the first derivative of -a**3 - 137159*a - 44614 wrt a. -3*a**2 - 137159 Differentiate 652*g**2*k**3 + 68*g**2 + 509*g*k**4 - 68*g - 2 wrt k. 1956*g**2*k**2 + 2036*g*k**3 Find the third derivative of 621*w**2*x**3 - 3*w**2 + 6*w*x**2 - w*x + 2*w - 483*x**3 - 2956*x**2 wrt x. 3726*w**2 - 2898 What is the third derivative of -6007292*b**3*f + 7810*b**2*f - 2*b*f - 12*b - 2*f - 1 wrt b? -36043752*f What is the derivative of -114565*j**2 + 6708 wrt j? -229130*j Find the third derivative of -138*t*w**3 + 487*t*w**2 - 3*t*w - 119*w**3 - 3*w**2 wrt w. -828*t - 714 Find the second derivative of -r*y**3 + 2959*r*y**2 + 2*r*y + r - 2*y**3 - 1137*y wrt y. -6*r*y + 5918*r - 12*y Find the third derivative of 2*i**4*s + 124*i**3*s - 28*i**3 - 2*i**2*s - 57592*i*s - s wrt i. 48*i*s + 744*s - 168 Differentiate -46*g*v**3 - 68*g*v*z + 2*g + 17617*v**3*z wrt g. -46*v**3 - 68*v*z + 2 Find the third derivative of -a**3*f*y + 215*a**3*y**3 + 2*a**2*f*y**2 - a**2*f + 13*a*y**2 - 175*f*y**3 - 2*f*y + y**2 wrt y. 1290*a**3 - 1050*f What is the third derivative of -18349*u**3 - 470*u**2 + 12*u wrt u? -110094 Differentiate -52*j**3 - 3745*j - 1604211. -156*j**2 - 3745 What is the first derivative of 145*s**3*y**3 + 4*s**3 + 1241*s**2*y**4 - 292655*s**2 wrt y? 435*s**3*y**2 + 4964*s**2*y**3 Differentiate -9870*h**3*q + 25*h**3 - 591588*q - 1 with respect to h. -29610*h**2*q + 75*h**2 What is the derivative of 33*t**3 - 530*t**2 - 55763 wrt t? 99*t**2 - 1060*t What is the second derivative of 37555*c**3*s**2 - 3*c**3 - c*s**2 - 25716*s wrt c? 225330*c*s**2 - 18*c What is the first derivative of -3971254*j - 4349062? -3971254 Find the second derivative of 523368*d**2*i**2 + 329068*d**2*i wrt i. 1046736*d**2 What is the first derivative of 9*j**3 + 3403*j + 62179 wrt j? 27*j**2 + 3403 Find the third derivative of -7*m**3*q**2 - 63532*m**3 - 2*m**2*q**2 + 1792022*m*q**2 wrt m. -42*q**2 - 381192 What is the derivative of -3*p**2*t + 731*p*t*y - 4*p*t + p*y + 5*p + 75466*t*y - 2*t wrt p? -6*p*t + 731*t*y - 4*t + y + 5 Find the second derivative of -2*l**3*u**2 - 59376*l**2*u**3 - l*u**3 - 20295*l wrt l. -12*l*u**2 - 118752*u**3 What is the second derivative of -243*j**2 - 34497*j wrt j? -486 Find the third derivative of -16296*m*p**3 + 15*m*p**2*t + 2*m*t + 3*p**3*t + 93*p**2 + p wrt p. -97776*m + 18*t What is the second derivative of -244946*s**2 + 362654*s - 5 wrt s? -489892 What is the second derivative of -z**5 - 10*z**4 + 191*z**3 - 2*z - 4088? -20*z**3 - 120*z**2 + 1146*z What is the third derivative of 9493*b**3*z**5 - 87*b**3*z**2 + 17*b**3*z + 3*b**3 + 2*b**2*z**2 + 2*b*z**6 - 3 wrt z? 569580*b**3*z**2 + 240*b*z**3 What is the first derivative of -2*a**2*v - 11*a**2 + 14*a*v + 1939*v wrt a? -4*a*v - 22*a + 14*v What is the derivative of 3007875*c**2 - 560294 wrt c? 6015750*c What is the third derivative of 23*f**4*g**3*h - 4*f**4*h + 3*f**4 - 8*f**2*g**2 + 29*f*g**3 - 2*f*g**2*h - 26*f wrt f? 552*f*g**3*h - 96*f*h + 72*f Find the second derivative of -2*d**3*r - 3*d**3 - d**2*r - 1201*d**2 + 6561*d*r wrt d. -12*d*r - 18*d - 2*r - 2402 Differentiate -f*r**2*y + 3*f*y - 10934*f - 5*r**2*y + 14*r**2 + 956*y wrt y. -f*r**2 + 3*f - 5*r**2 + 956 What is the third derivative of 59662*f*w**3 + 5*f*w**2 + 714*f - w**2 - 53*w wrt w? 357972*f What is the third derivative of 82*k**6*v + 44*k**4 - 41*k**2*v + 35*v wrt k? 9840*k**3*v + 1056*k What is the second derivative of 93741*w**3 + 148686*w? 562446*w What is the second derivative of 1355*j**5 + 40*j**4 - 2069*j + 133? 27100*j**3 + 480*j**2 What is the first derivative of -19360*u*x**3 + 231564*u - x**3 + 2*x wrt x? -58080*u*x**2 - 3*x**2 + 2 What is the second derivative of 146072*z**2 - 129562*z wrt z? 292144 Find the third derivative of 15200*h**5 - 5*h**3 + 605545*h**2. 912000*h**2 - 30 Find the second derivative of -325660*m**3 + 1489906*m. -1953960*m Find the second derivative of 4528*w**5 - 18*w**3 + w - 80786 wrt w. 90560*w**3 - 108*w Find the third derivative of -1536372*f**4 + 904*f**2 + 2*f + 62 wrt f. -36872928*f Find the third derivative of -1052*b**5 - b**4 + 202*b**3 + 7*b**2 - 28517 wrt b. -63120*b**2 - 24*b + 1212 What is the second derivative of -2*p*s**2*v**2 + 11*p*s*v**2 - 74*p*v**2 - 364*s**2*v**2 + 4*s**2*v - 5*s*v**2 wrt s? -4*p*v**2 - 728*v**2 + 8*v What is the first derivative of 2*l*v + 95*l + 9454*v - 79 wrt v? 2*l + 9454 What is the first derivative of 485996*a**2*l**2 - a**2 - 19340 wrt l? 971992*a**2*l Differentiate 8082*a*i**3 - 2*a*i**2 - i**3 + 22305*i with respect to a. 8082*i**3 - 2*i**2 Find the third derivative of -51474*h**5 - 144*h**2 + 24*h - 1. -3088440*h**2 Find the second derivative of 130*p**3*q**2*w - 3*p**3*q - 6*p**3*w - 122*p**2*q**2*w - 736*w wrt q. 260*p**3*w - 244*p**2*w What is the derivative of -29671*q**2 - 8100? -59342*q Differentiate 46640*r + 63449 with respect to r. 46640 Find the second derivative of -7*o**5 + 12078*o**4 - o**2 - 433735*o wrt o. -140*o**3 + 144936*o**2 - 2 What is the third derivative of -43529*j**3 + 2*j**2 - 21*j + 10 wrt j? -261174 Find the third derivative of -33*h**5 - 31*h**4 - 4*h**3 - 10*h**2 + 1898 wrt h. -1980*h**2 - 744*h - 24 Find the first derivative of -16633*g*l + 626*g + 44 wrt l. -16633*g Find the third derivative of -12090*y**4 + 9*y**3 - 331881*y**2 wrt y. -290160*y + 54 What is the third derivative of -342364*m**3*r + 23*m**2*r - 648*m*r wrt m? -2054184*r Find the second derivative of 15*o**3*p + 7*o**3 + 39*o**2*p - 4*o**2 - o*p - 60343*p wrt o. 90*o*p + 42*o + 78*p - 8 Find the third derivative of -2*b**3*d*l - 8076*b**3 + 2*b**2*d*l + 21*b**2*l - 3*b**2 + b*d*l + 62*l wrt b. -12*d*l - 48456 Find the third derivative of 2*a**2*v**3 + 2*a**2 + 27*a*v + 3027*v**3 + 76*v**2 wrt v. 12*a**2 + 18162 Differentiate -2442*g**3 - 2*g**2 - 20*g - 90083 wrt g. -7326*g**2 - 4*g - 20 Find the third derivative of -5647454*s**5 + 120552*s**2 + 9*s - 2. -338847240*s**2 Differentiate -98643*g - 35369 with respect to g. -98643 Find the third derivative of -30*g**3*o**3 - 791824*g**3*o**2 + 20620*g**2*o**3 + 2*g*o**2 - o**3 wrt o. -180*g**3 + 123720*g**2 - 6 What is the second derivative of 3119985*v**3 + 193831*v + 6 wrt v? 18719910*v Differentiate 987*m**3 - 3*m*o**2*z + 8*m*o**2 - o**2*z + 256160*o wrt m. 2961*m**2 - 3*o**2*z + 8*o**2 What is the second derivative of 4*q**2*r**2 - 2*q**2 - 25892*q*r**2 - 36*q*r + 16*r - 5 wrt r? 8*q**2 - 51784*q Find the third derivative of -102918*x**4 + 6*x**3 + 3*x**2 - 415496*x + 2 wrt x. -2470032*x + 36 Differentiate -82*n**2 - 42*n - 158085 with respect to n. -164*n - 42 Find the first derivative of 209919*l*x - 5*x + 35619 wrt l. 209919*x Differentiate 349410*s + 341604 with respect to s. 349410 What is the first derivative of -17*a**3*g**2 - 132572*a**3 - 1076*g**4 wrt g? -34*a**3*g - 4304*g**3 Find the third derivative of -2*g**5 + 39123*g**4 - 1804*g**2 - 10*g. -120*g**2 + 938952*g What is the second derivative of -4*i**4 + 5*i**3 + 60*i**2 - 177825*i wrt i? -48*i**2 + 30*i + 120 What is the second derivative of -14*n**4 - 7493*n**2 + 488378*n + 2 wrt n? -168*n**2 - 14986 What is the first derivative of -15048*v*x + 41*v - x - 1106 wrt x? -15048*v - 1 What is the second derivative of 3*r**4*v + 45080*r**3*v + 72*r*v - 61*v wrt r? 36*r**2*v + 270480*r*v Find the second derivative of -897180*n**2*o**3 - n*o**3 - 16*n*o**2 - 2*n + 962*o**3 wrt n. -1794360*o**3 Find the third derivative of -2*q**6 + 32263*q**4 + 17*q**2 - 15. -240*q**3 + 774312*q What is the derivative of m**2*t**2 + 11339*m**2 - 39521*t**2 wrt m? 2*m*t**2 + 22678*m What is the second derivative of -5*o*r**2 + 6*o*r*s**3 - 292*o*s**3 - 18813*r**2*s**3 + 11*r*s**2 wrt r? -10*o - 37626*s**3 Find the third derivative of 63470*x**3*y - 85*x**2*y + 226*x*y wrt x. 380820*y Find the first derivative of -784819*i - 854286 wrt i. -784819 What is the second derivative of -262*n**3*o*u**2 + 69*n**3*u**2 + 9*n**3*u + 2*n**3 + 2*n*o*u + 156*o + 2*u wrt u? -524*n**3*o + 138*n**3 Differentiate 3*i**2*t + 4*i**2 + 766*i*t + 75*i - 3*t - 2 with respect to t. 3*i**2 + 766*i - 3 What is the second derivative of -1299*o**2*q**2*s**2 - 371*o**2 + 334*o*q*s + 337*q**3*s**2 + 2*q**3 wrt s? -2
{ "pile_set_name": "DM Mathematics" }
8? 2, 11, 37 What are the prime factors of 400? 2, 5 List the prime factors of 26736. 2, 3, 557 List the prime factors of 764. 2, 191 What are the prime factors of 4534? 2, 2267 List the prime factors of 1976. 2, 13, 19 List the prime factors of 66789. 3, 41, 181 What are the prime factors of 13552? 2, 7, 11 What are the prime factors of 1021? 1021 List the prime factors of 379. 379 List the prime factors of 24990. 2, 3, 5, 7, 17 List the prime factors of 1057. 7, 151 List the prime factors of 481. 13, 37 What are the prime factors of 11597? 11597 List the prime factors of 4114. 2, 11, 17 List the prime factors of 1339. 13, 103 What are the prime factors of 15364? 2, 23, 167 What are the prime factors of 951? 3, 317 List the prime factors of 2784. 2, 3, 29 What are the prime factors of 1555? 5, 311 What are the prime factors of 4356? 2, 3, 11 List the prime factors of 3336. 2, 3, 139 What are the prime factors of 941? 941 List the prime factors of 21243. 3, 73, 97 List the prime factors of 3099. 3, 1033 List the prime factors of 45699. 3, 15233 What are the prime factors of 10511? 23, 457 List the prime factors of 1060. 2, 5, 53 List the prime factors of 5737. 5737 What are the prime factors of 5469? 3, 1823 What are the prime factors of 124? 2, 31 What are the prime factors of 6304? 2, 197 List the prime factors of 16624. 2, 1039 What are the prime factors of 5885? 5, 11, 107 What are the prime factors of 2518? 2, 1259 What are the prime factors of 44177? 7, 6311 What are the prime factors of 67? 67 List the prime factors of 40606. 2, 79, 257 List the prime factors of 2555. 5, 7, 73 What are the prime factors of 1362? 2, 3, 227 What are the prime factors of 496? 2, 31 What are the prime factors of 25383? 3, 8461 What are the prime factors of 942? 2, 3, 157 List the prime factors of 3245. 5, 11, 59 What are the prime factors of 9871? 9871 What are the prime factors of 78980? 2, 5, 11, 359 What are the prime factors of 16893? 3, 1877 What are the prime factors of 10209? 3, 41, 83 What are the prime factors of 1082? 2, 541 What are the prime factors of 19547? 11, 1777 List the prime factors of 4124. 2, 1031 List the prime factors of 4119. 3, 1373 List the prime factors of 31686. 2, 3, 5281 What are the prime factors of 10842? 2, 3, 13, 139 What are the prime factors of 7098? 2, 3, 7, 13 What are the prime factors of 105947? 53, 1999 What are the prime factors of 64586? 2, 43, 751 What are the prime factors of 17585? 5, 3517 List the prime factors of 34170. 2, 3, 5, 17, 67 What are the prime factors of 177? 3, 59 List the prime factors of 31411. 101, 311 What are the prime factors of 85315? 5, 113, 151 List the prime factors of 9230. 2, 5, 13, 71 What are the prime factors of 35928? 2, 3, 499 List the prime factors of 9812. 2, 11, 223 List the prime factors of 4447. 4447 List the prime factors of 13325. 5, 13, 41 List the prime factors of 14897. 14897 What are the prime factors of 30759? 3, 10253 List the prime factors of 2100. 2, 3, 5, 7 List the prime factors of 779. 19, 41 What are the prime factors of 555? 3, 5, 37 List the prime factors of 81443. 23, 3541 List the prime factors of 31515. 3, 5, 11, 191 List the prime factors of 44823. 3, 67, 223 List the prime factors of 679. 7, 97 What are the prime factors of 4457? 4457 List the prime factors of 9261. 3, 7 List the prime factors of 6. 2, 3 What are the prime factors of 19071? 3, 13, 163 List the prime factors of 15367. 11, 127 What are the prime factors of 1549? 1549 List the prime factors of 2398. 2, 11, 109 What are the prime factors of 1314? 2, 3, 73 List the prime factors of 806. 2, 13, 31 What are the prime factors of 1771? 7, 11, 23 What are the prime factors of 54912? 2, 3, 11, 13 List the prime factors of 2453. 11, 223 What are the prime factors of 53143? 19, 2797 List the prime factors of 1787. 1787 List the prime factors of 1406. 2, 19, 37 List the prime factors of 208. 2, 13 What are the prime factors of 649? 11, 59 List the prime factors of 4894. 2, 2447 What are the prime factors of 80606? 2, 41, 983 List the prime factors of 5992. 2, 7, 107 List the prime factors of 833. 7, 17 What are the prime factors of 3456? 2, 3 What are the prime factors of 67451? 37, 1823 What are the prime factors of 28831? 11, 2621 List the prime factors of 2190. 2, 3, 5, 73 List the prime factors of 32113. 17, 1889 List the prime factors of 107090. 2, 5, 10709 What are the prime factors of 10218? 2, 3, 13, 131 List the prime factors of 4767. 3, 7, 227 List the prime factors of 1171. 1171 List the prime factors of 4357. 4357 List the prime factors of 13328. 2, 7, 17 List the prime factors of 476. 2, 7, 17 What are the prime factors of 40937? 13, 47, 67 List the prime factors of 33595. 5, 6719 What are the prime factors of 9120? 2, 3, 5, 19 List the prime factors of 10864. 2, 7, 97 List the prime factors of 4656. 2, 3, 97 List the prime factors of 150024. 2, 3, 7, 19, 47 What are the prime factors of 54980? 2, 5, 2749 What are the prime factors of 1091? 1091 List the prime factors of 52550. 2, 5, 1051 List the prime factors of 2349. 3, 29 What are the prime factors of 61? 61 What are the prime factors of 17155? 5, 47, 73 List the prime factors of 3494. 2, 1747 List the prime factors of 812. 2, 7, 29 What are the prime factors of 624? 2, 3, 13 What are the prime factors of 1149? 3, 383 List the prime factors of 274. 2, 137 What are the prime factors of 5817? 3, 7, 277 List the prime factors of 15183. 3, 7, 241 List the prime factors of 11312. 2, 7, 101 What are the prime factors of 2257? 37, 61 List the prime factors of 740. 2, 5, 37 List the prime factors of 3015. 3, 5, 67 List the prime factors of 10914. 2, 3, 17, 107 List the prime factors of 126. 2, 3, 7 What are the prime factors of 19076? 2, 19, 251 List the prime factors of 4606. 2, 7, 47 List the prime factors of 3240. 2, 3, 5 What are the prime factors of 2011? 2011 List the prime factors of 275. 5, 11 List the prime factors of 75667. 17, 4451 List the prime factors of 16664. 2, 2083 List the prime factors of 2259. 3, 251 What are the prime factors of 20292? 2, 3, 19, 89 What are the prime factors of 6071? 13, 467 List the prime factors of 13178. 2, 11, 599 List the prime factors of 248. 2, 31 List the prime factors of 53319. 3, 7, 2539 What are the prime factors of 1235? 5, 13, 19 List the prime factors of 13521. 3, 4507 List the prime factors of 359. 359 What are the prime factors of 6? 2, 3 What are the prime factors of 619? 619 What are the prime factors of 19263? 3, 6421 What are the prime factors of 106647? 3, 19, 1871 List the prime factors of 31840. 2, 5, 199 What are the prime factors of 4776? 2, 3, 199 List the prime factors of 16215. 3, 5, 23, 47 List the prime factors of 6576. 2, 3, 137 What are the prime factors of 17477? 17477 What are the prime factors of 15663? 3, 23, 227 What are the prime factors of 7402? 2, 3701 List the prime factors of 2688. 2, 3, 7 List the prime factors of 5488. 2, 7 List the prime factors of 3404. 2, 23, 37 List the prime factors of 7379. 47, 157 What are the prime factors of 93933? 3, 7, 71 What are the prime factors of 5108? 2, 1277 List the prime factors of 1354. 2, 677 List the prime factors of 55865. 5, 11173 List the prime factors of 1979. 1979 List the prime factors of 5511. 3, 11, 167 What are the prime factors of 23373? 3, 7, 53 What are the prime factors of 338? 2, 13 What are the prime factors of 6153? 3, 7, 293 What are the prime factors of 8939? 7, 1277 List the prime factors of 29117. 11, 2647 What are the prime factors of 1907? 1907 What are the prime factors of 45254? 2, 11, 17 List the prime factors of 68166. 2, 3, 7, 541 What are the prime factors of 4523? 4523 List the prime factors of 2074. 2, 17, 61 What are the prime factors of 4754? 2, 2377 List the prime factors of 64019. 64019 List the prime factors of 5166. 2, 3, 7, 41 List the prime factors of 4165. 5, 7, 17 What are the prime factors of 184894? 2, 193, 479 What are the prime factors of 1270? 2, 5, 127 List the prime factors of 13465. 5, 2693 What are the prime factors of 66270? 2, 3, 5, 47 What are the prime factors of 18204? 2, 3, 37, 41 What are the prime factors of 353? 353 What are the prime factors of 1152? 2, 3 What
{ "pile_set_name": "DM Mathematics" }
- -11 - (2 - (0 + 5)) -19 Calculate -71 + 96 - (0 + (-1 - 2) + 3). 25 What is the value of 23 + -5 - 6 - (15 + -17)? 14 What is -35 + (30 - 31) - -60? 24 Evaluate 1 + -1 + -7 - (-7 + (-15 - 5)). 20 Evaluate (3 - (-12 - -16)) + 8. 7 Calculate (1170 - 1163) + (-1 + 9 - -1). 16 What is the value of 9 - 1 - (-3 + 20 + -18)? 9 What is the value of -3 - (-25 - (-42 - -38))? 18 What is 2 + 5 + 4 + -23? -12 Evaluate 3 + 21 + (-17 - -2). 9 What is 3 - (14 - (0 + -5 + 0 + 3))? -13 What is (2 - 8) + (29 - -8)? 31 Calculate (-8 - -6) + (1 + 2 + -2 - 6). -7 2 + 4 + 1 - (2 + 0) 5 Evaluate -11 - (1 + -19) - (1 - -4). 2 8 + (9 - (24 + -1)) - -1 -5 Calculate (-10 - -28) + -7 + 3 + -4. 10 What is (-94 - -60) + 73 + (-16 - -1)? 24 Calculate (-6 - -1) + (0 - (13 + -13)). -5 Calculate -14 - (6 - 10) - -26 - -19. 35 What is 3 - (-1 + -8 + 104 + -96 + 5)? -1 -1445 - -1425 - (1 + 1 - 0) -22 Evaluate 1 + -20 + 0 - -6. -13 What is -2 + -13 + (-14 - (22 - 41))? -10 Calculate 20 - ((72 - 21) + -16) - (5 + 1). -21 Calculate -13 - (9 - (2 + 7)). -13 Evaluate (9 - (4 - 8 - -7)) + -11 - 2. -7 Calculate (2 - (-4 + -2)) + (8 - 11). 5 What is the value of -49 - (-3 + -29) - (1 - -4)? -22 Calculate (25 - 20) + 22 + -3. 24 What is (10 - (4 + -5) - 23) + 6? -6 Evaluate -3 + -1 + 1 + (-1 - -34 - 25). 5 Evaluate (25 - 32 - -47) + -1 + -1. 38 What is the value of -37 - 0 - (-576 + 513)? 26 What is the value of (0 - (11 - 20)) + 7 - 16? 0 7 + (-12 - -12) + (0 - 19 - -1) -11 (3 - -12) + -4 + (11 - 10) 12 What is (14 - 18) + 4 + 8 - 1? 7 Calculate -3 + -14 + -31 + 44. -4 Calculate 3 - (-8 - -13 - 0) - (-6 + 11). -7 Calculate (-6 - -23) + 13 - 28. 2 What is the value of -5 + 4 + 2 - (-29 + 30) - 6? -6 What is the value of 12 - 2 - (47 + (28 - 54))? -11 Evaluate 1584 + -1560 - (21 + -1 + 0). 4 Evaluate -10 - (7 + (-47 - -7)). 23 -22 + (15 - (10 + -5)) -12 What is the value of 5 - (-6 - 17 - (-17 + -1))? 10 What is (-8 + 3 + 1 - -6) + 1 + -5? -2 What is the value of -2 - 16 - (33 + -63 + 27)? -15 Calculate 0 + 8 + (1 - 6) + -13. -10 -22 + (25 - 31) + 12 -16 4 - -29 - 70 - -35 -2 What is 0 + -2 + (12 - 10) + -8? -8 What is the value of 28 - (17 - 7) - 29? -11 What is the value of 19 + -14 + (14 - 12) - 11? -4 (2 - 1 - (0 - -4)) + 20 + -17 0 24 + -28 + 7 + -12 + -5 -14 What is 2 - -5 - ((-5 - -2) + -2 + 9)? 3 -55 + 58 + (7 - 1) 9 Calculate 1 + -7 + 9 + (-2 - -14 - 23). -8 Evaluate -4 - (7 - (6 - (-7 + 3 - -5))). -6 Calculate -26 + 9 - 7 - -16. -8 What is the value of (11 - 22) + -12 + 14? -9 1 + 4 + -21 + -33 + 26 - 0 -23 Evaluate 9 + -3 + -172 + 148. -18 What is 31 - 32 - (2 - 2) - 12? -13 Calculate 17 - (14 - 2 - (20 + -25)). 0 Calculate 215 + -206 + -1 + -1. 7 -14 + 4 + (1 + -13 - -28) 6 -15 - ((-36 - -14) + 17) -10 What is 11 - ((29 - 13) + 0)? -5 Calculate -9 + 17 + (4 + 3 - 12). 3 Calculate -7 - ((5 - 17) + 8 - 0). -3 What is the value of -2 - (-5 + -27 + 7 - (0 - -1))? 24 What is 0 + (0 - (-11 - -16 - -6))? -11 What is (21 + -6 - 29) + 2? -12 Evaluate (2 - 6 - 8) + (-19 - -16). -15 (9 - (3 + 3 + -7) - 20) + 2 -8 What is the value of (-29 - -1) + 53 + -21? 4 Calculate -5 - (0 + 2) - (-2 - 20 - -23). -8 -10 - (-6 + 2 + 8 + -10) -4 ((5 - -4) + 5 - (0 - -5)) + 0 9 What is the value of 13 - 3 - (1 + 7)? 2 What is the value of 1 + -12 + (109 - 105) - -35? 28 Evaluate (-1 + 4 - 7 - 10) + 3. -11 (-5 - -1 - -3) + 4 + 27 + -48 -18 What is 5 + -1 + 2 + 76 + -93? -11 Calculate -14 + (45 - (2 + 13)) - -21. 37 What is 1 + (-6 + -1 - -1) + 6 + 9? 10 Calculate (215 - 215) + (-5 - 0). -5 What is (-45 - -1) + (-221 - -233)? -32 (5 - (21 - 18)) + -8 + -2 -8 Evaluate 15 + -13 + (0 - 0) - -8 - 14. -4 What is -77 + 58 + -3 + 1? -21 Evaluate (8 - (11 - 6)) + 8 + -2. 9 What is the value of -23 - (-38 - (-18 - 13))? -16 What is the value of 4 - ((-1 - -4) + (45 + -22 - 25))? 3 What is the value of 6 - 0 - -2 - (4 + -2 - -18)? -12 Evaluate (-9 - -3) + 43 + -30. 7 Calculate (-4 - (2 + -13)) + (2 - 10). -1 What is the value of 12 + 0 + -6 + -25 - -4? -15 -4 - (-5 + -1 - -2 - (-10 - -19)) 9 12 + -33 + 17 + -7 - 18 -29 Calculate (11 - (27 + -10)) + 13. 7 What is the value of 524 - 539 - (10 + 0) - -1? -24 What is (-2 - (1 - 1 - -3)) + 7 + -3? -1 What is (1622 - 1592) + -38 + 0? -8 Calculate 11 - ((-10 - -27) + 0). -6 6 + -17 - (-2 + -10) 1 -9 + 38 - 6 - 36 -13 7 - (3 - (-29 - (-16 - -8)) - -10) -27 What is 7 + -1 + (10 - (7 - -10)) + 1? 0 What is -7 + (0 - 0) - (-26 - (-11 + 1))? 9 Calculate -1 - (3 - -8 - (-28 + 23)). -17 Calculate 13 - 11 - -13 - 15. 0 What is the value of -164 + 190 - (8 - (-5 - -10))? 23 What is -87 - -84 - 16 - (-54 - 1)? 36 Calculate 13 - (37 - 1 - (145 - 135)). -13 -8 - 0 - (17 - 36 - -11) 0 Calculate -8 + 24 + -8 + -13. -5 -5 - (-2 - (-1 + 1) - (-131 - -131)) -3 What is 3 + -8 - (-757 - -720)? 32 What is the value of -9 + -1 - (49 + -6 + -39)? -14 What is the value of 11 - (8 + -8 + 6) - 12? -7 -7 + 5 + -4 + 18 12 Evaluate 1017 - 1004 - (0 - -25). -12 Evaluate -28 + 3 + -1 + 10 + 6. -10 What is the value of 1 - 26 - (775 - 785)? -15 What is 3 + -21 - (0 - 3) - (94 - 99)? -10 1 + -1 - (59 - 48) -11 What is the value of (1 - (-4 - -19)) + 13? -1 Evaluate (40 - 29) + -36 - 1. -26 Evaluate (-2 - 31) + (-6 - -3) - (-31 - -27). -32 What is the value of -5 + (2 - (-10 - -14)) + -4? -11 Evaluate (21 - 4) + (-8 - -10). 19 What is the value of 1 + 3 + 2 + (13 - -4) + -12? 11 What is -19 - (-18 - (-7 + -2))? -10 14 + -2 + 4 + -26 -10 What is the value of 34 + (-64 - 6) + 36? 0 What is the value of 1 + (-6 - 0) - (-16 - (2 + -6))? 7 Evaluate 13 + (1 + 3 + 8 - 30). -5 Calculate 17 - (-12 - -18 - -1). 10 What is the value of -196 - -205 - (0 - 1)? 10 Evaluate -4 - (-3 - -4) - (-7 - 9). 11 Evaluate 10 - (34 + -17 + -1 - -24). -30 What is 13 + -47 - (-4 - 25)? -5 What is the value of -9 + -2 + (6 - 3 - (-11 - -15))? -12 (3 - 3) + 3 + (-8 - -6) + -10 -9 Evaluate (22 - (0 + 13)) + (6 - -6) + -1. 20 Evaluate 14 - (-4 - -14) - 9 - (2 - -1). -8 5 + ((-16 - -10) + 12 - (-1 + 4)) 8 What is the value of (-27 - -22) + -3 + 17 + -19? -10 What is the value of (26 - -1) + -1635 + 1603? -5 What is (-36 - -44 - (-1 - -1)) + 5? 13 Calculate 23 - 7 - (1 - (-2 - 2)). 11 Calculate 0 + (-23 + 2 - -18). -3 4 - (-8 + -12) - 4 20 What is the value of -3 - 1 - (191 - 156) - -15? -24 Evaluate -10 + 5 + 7 + 4 + 4 + 2. 12 (29 - 4 - -7) + -63 -31 What is 0 + 6 + -12 + 6 + -4 + 5? 1 What is the value of 14 + (3 - 2) - (25 + (-27 - -9))? 8 What is 12 - (-45 - (21 - 52))? 26 What is 8 - (4 - (4 + (-6 - (-5 + 4))))? 3 What is the value of (-2 - -20 - 1) + -18? -1 What is the value of 12 - ((-1 - -11) + (-1 - 4)) - -7? 14 What is -9 - (11 - (-9 - -20))? -9 Evaluate (-256 - -232) + 7 + 0. -17 What is the value of -55 + 59 - (1 - (-17 - 2))? -16 What is 0 + 9 - (-105 - -122)? -8 What is 1 + (-28 - -30) + 20? 23 What is -61 + 50 + (31 - 5)? 15 20 - (6 + (13 - 12)) 13 What is 3 - (17 + -21) - (11 + -8)? 4 What is the value of -27 + (10 - -10 - 9)? -16 -881 - -897 - (-1 + 0 + 5) 12 What is the value of (33 - 62) + -28 + 30? -27 What is the value of (-12 - 3) + 14 + 20? 19 What is 38 + -40 - ((0 + -1 - -3) + -6)? 2 Evaluate (6 - 2) + 6 + -6 + 18 + 7. 29 What is the value of -21 + 4 - (-32 - (21 + -20))? 16 -53 + 29 + -2 + 5 + 1 -20 Evaluate (1 - (-10 - (-5 + -5))) + 0. 1 4 + (-2 - 5) - (-1 + 3) -5 -10 + 1 - (3 + (-5 + 6 - -2)) -15 2 + (-10 + 1 - (-30 - -24) - -3) 2 (7 - (1 + -2)) + 30 + (4 - 31) 11 What is the value of 1 + -8 + (-3 - -23) + -12 - -14? 15 Evaluate 4 - 4 - 2 - (13 + -14). -1 Calculate 3 + -7 + 12 + -6 + 3 + -6. -1 What is -18 + 21 + 16 - 17? 2 Evaluate 5 + (-30 - (-4 + -21)). 0 What is (-101 + 113 - (2 + 0)) + -3 - 22? -15 0 + 7 + (-11 - 8) + 12 0 Evaluate 2 + 4 + (-4 - -3) - -2 - 7. 0 What is 611 + -563 - (1 + 44)? 3 10 - ((-6 - -7 - 5) + (-27 - -17)) 24 What is -10 - (5 + 0 + -7) - 2? -10 41 + -40 - (2 - 2) - 24 -23 3 + (1 - 13) + (0 + -9 - -13) -5 What is the value of -14 - (-15 + (12 - 12))? 1 Evaluate (5 - 2) + 8 + -4. 7 (-6 + 15 - (-11 - -12)) + -8 0 What is 30 + -7 + (-16 - -17 - 6)? 18 Calculate -2 - 2 - -4 - (-27 + 31) - 31. -35 Calculate (2 - (2 - (-1 + 16))) + (15 - 14). 16 What is the value of -12 + 22 - ((24 - -6) + 5)? -25 What is 1 - -1 - (-5 + 18 - 6)? -5 Calculate 1 + (11 - (21 - 22)). 13 What is the valu
{ "pile_set_name": "DM Mathematics" }
n = t + 3.16. Which is the nearest to -0.2? (a) 1/2 (b) n (c) 0 c Let x be 1 + -1 + 3/15. Which is the nearest to x? (a) -0.1 (b) -2 (c) 3/5 a Suppose -3*k + 69 = -2*r, -5*k = -4*r - 172 + 31. Let n be -5 - -3 - r/12. What is the nearest to -0.1 in -2/5, n, 3? -2/5 Let r be 11/3 + -2 + -2. Let c = 1 - 1. Suppose 5*q = 4*n + 23, -3*n + c = -2*q + 12. What is the nearest to 0.1 in r, 1/4, n? 1/4 Let v = 31/85 + 4/17. Which is the nearest to 0? (a) 0.04 (b) v (c) 2 a Let f = -5 + 4.96. Let p = 0.04 + f. Let w = -3 - -4. Which is the closest to 2/3? (a) -3 (b) p (c) w c Let m be 1394/28 - (-30)/20. Let j = m - 51. Let u = -8 - -17/2. Which is the closest to 0.1? (a) j (b) u (c) 4 a Let l = -0.138 - -6.098. Let i = -0.04 - l. Let w = i + 7. Which is the closest to 1/2? (a) -2/3 (b) 3 (c) w c Let z = 91 - 271/3. Which is the nearest to z? (a) 2/7 (b) 0.5 (c) -1 b Let i = 1.4 + -0.4. Let k = 0.23 + -0.03. Suppose u = 2 + 3. What is the closest to i in -1/6, k, u? k Let m = -4.6 + 5. Let f = 3 - 2.8. Let x be (-6)/12*(-4)/(-13). Which is the nearest to 0.1? (a) x (b) f (c) m b Let r = -106.4 + 106. What is the nearest to -1 in r, -0.1, 4? r Let y = 2 - 9. Let v = y + 7.4. Suppose 0*u = 5*u - 5. What is the closest to -2 in u, 0.3, v? 0.3 Let o = -0.1 - 0. Let u = -6 + 9. Let j be (4/28)/((-6)/7). What is the closest to o in -5/3, j, u? j Let t = 0.49 - 0.39. What is the nearest to 0.6 in t, -1, -5? t Let t be 16/30 + 2/(-6) + -1. Let z = 11/20 - 3/20. What is the closest to z in t, -3/2, -4? t Let m = -2 - -6. Let d = -10 + 9.9. What is the closest to d in -0.2, m, 0.2? -0.2 Let z = -18.4 + 19.4. Let p = 2 + -1.9. Which is the closest to -1/3? (a) 1/5 (b) p (c) z b Let l = 0.05 + -0.45. Which is the closest to -2/3? (a) -4 (b) -1/2 (c) l b Let f(s) = s**2 + 3*s - 6. Let r be f(-5). Which is the closest to 0? (a) -0.2 (b) -6 (c) r a Let j = -0.147 + 0.147. Which is the nearest to -2/7? (a) 1 (b) 0.1 (c) j c Let w be 2/4*(-2)/(-3). Let i = -90103/7 - -12820. Let z = 52 + i. Which is the closest to -2? (a) w (b) z (c) -4 c Let r be -2 + (-1)/(2/(-8)). Suppose 5*w + 30 = x, 3 = -r*w + 4*x - 9. Let s(q) = q**3 + 6*q**2 - q - 8. Let l be s(w). What is the closest to 1/4 in 0, l, -5? 0 Suppose 6*m - 3*m + 2*u - 6 = 0, 4 = 2*m - 5*u. Which is the closest to 2/7? (a) m (b) 2/11 (c) 4/5 b Let d = 13 - 18. Let f be (-1)/5 - (-9)/d. Let p be -3 + 2 - 14/(-10). Which is the closest to 0.1? (a) f (b) p (c) -4 b Let m(v) = v**2 - 8*v - 5. Let r be m(8). Let q be 15/r*(-2)/10. Which is the closest to 1/2? (a) -2 (b) q (c) -1/4 b Let b = -4.4 - -4.1. What is the nearest to -1 in -1/4, -0.7, b? -0.7 Let a be (-1 + 2)/(42/(-3408)). Let o = -81 - a. What is the nearest to -1 in o, -2/7, -4? -2/7 Let w be 4 - 2 - (10 - -2). Which is the closest to w? (a) -4 (b) -1/5 (c) 0.1 a Let g = -8 - -8. Suppose 4*s = -z - s - 2, 5*z - 4*s - 19 = 0. Let r be (1 - z) + (-15)/(-6). What is the closest to r in g, -0.4, -2? g Let z = 0.21 - -0.09. Which is the closest to -0.1? (a) 0.5 (b) -1 (c) z c Let j = -6 - -5.7. Let r = 1.3 + j. Let d = r + -0.9. Which is the nearest to 2/5? (a) d (b) 1/2 (c) 0.2 b Let f = 9 + -14. Let d = -4.9 - f. What is the closest to d in -2/9, -0.3, -2/3? -2/9 Let t = 1.7 - -1.3. What is the closest to 2 in -2/11, t, -3? t Suppose -2*d = -5*y - 3, -2*y + 3 = d - 3. Let k = -8 + -2. Let o = -10 - k. What is the closest to y in o, 1, -0.3? 1 Let k = 1/100 + 397/300. Which is the nearest to -0.2? (a) 2 (b) -0.4 (c) k b Let i = 0.014 - 0.514. Which is the closest to 1? (a) -0.1 (b) i (c) -11 a Let f = -0.29 + -0.01. Let z = -0.6 + 0.5. What is the nearest to z in 4, -4/5, f? f Let f = -26 - -13.3. Let s = 12 + f. What is the closest to s in -2, 2, -0.2? -0.2 Let g(p) = p**3 - 2*p**2 - 4*p + 3. Let r be g(3). Suppose 5*f + 10 = -j, 3*f + 34 = 2*j + 3*j. Which is the nearest to r? (a) j (b) -2/3 (c) -4 b Let f = -4.937 + 0.037. Let s = f - -5. What is the nearest to s in -0.5, 2, 0.3? 0.3 Let q be ((-1)/8)/((-2)/(-4)). Let k = -0.12 + 0.04. Let i = k + -0.12. What is the nearest to i in 0.5, q, 0? q Let i be 3*(1 - 1 - 1). Let o = -0.2 - -0.1. What is the closest to o in i, 0.1, 0.2? 0.1 Let u = 13 + -13. Let n = 4.2 + -2. Let f = n + 0.8. Which is the nearest to 0? (a) u (b) f (c) -4 a Let l(j) = -2*j + 16. Let h be l(0). Let m = -16 + h. What is the nearest to m in 2/7, 8, 4? 2/7 Let q = -67.71 - -63.7. Let z = 5 - 4.99. Let n = z + q. Which is the closest to -1? (a) 4 (b) -0.2 (c) n b Let w = -0.2 + 0. Let q be (-19 + 4)*(-1)/12*2. Which is the closest to 0? (a) q (b) 0 (c) w b Let m = -0.2 - -0.5. What is the closest to m in 0, 3, -5? 0 Let g = -0.14 - -0.21. Let n = -0.07 + g. Which is the closest to n? (a) -3 (b) -3/4 (c) 4 b Let m = -5.4 - -1.4. Let b = 0.1 + 0.4. Let o be (-2)/24 - 2/8. What is the nearest to o in m, 0.4, b? 0.4 Let h(d) be the second derivative of d**5/20 - d**4/3 - 2*d**3/3 - 2*d**2 + 3*d. Let m be h(5). What is the closest to m in 4, 5, 0? 0 Let i = -5 - -5.4. Which is the closest to 6? (a) -0.4 (b) -0.1 (c) i c Let f be (-6)/10 + (-36)/15. Let z = -0.4 - -0.6. Which is the nearest to -1? (a) 1/3 (b) z (c) f b Let v be ((-2)/(-12))/((-20)/16). Which is the closest to 2? (a) -4 (b) 1/2 (c) v b Suppose -k - 27 = 2*k. Let z = 61/7 + k. Which is the nearest to -2/5? (a) z (b) 0.1 (c) -2 a Let v(j) = -j**2 + 9*j - 8. Let k(g) = g - 1. Let w(s) = 3*k(s) - v(s). Let o be w(5). Let t = -0.8 + 0.5. Which is the closest to 0.1? (a) o (b) 0.3 (c) t a Let v = -1.42 + -0.58. Let k be (-1)/(1 + (-5)/(-2)). What is the closest to 0.2 in k, 2/7, v? 2/7 Let d = 0.3 - -0.2. Let v = 57 - 115/2. Which is the closest to v? (a) 0.2 (b) d (c) 2/9 a Let k = 31/160 - 3/32. Let q = 4 + 0. Let s = -6 + q. What is the nearest to 1 in 1/6, s, k? 1/6 Let j = 21.6 - 22. Let n = 0 - 1. Suppose -5*m = -4*m - 1. What is the nearest to m in 3/8, j, n? 3/8 Let g = -8 + 6. Let y = -6 - g. Let v = 3 + 1. Which is the nearest to 0.1? (a) y (b) v (c) 2 c Let p = -0.5 - -0.4. Let n = -0.3 + 0.2. Let j be (-48)/(-160)*4/(-6). Which is the closest to n? (a) p (b) j (c) -0.4 a Let w = 0.51 - 0.01. Let j be (-9)/(-12)*2/(-6). Let q = 1 + -0.7. Which is the closest to 0? (a) w (b) j (c) q b Suppose -17 = -p + 3*p - 5*j, -14 = -p - 5*j. Let d = 0 - p. Let h = -0.65 - -0.15. Which is the nearest to d? (a) h (b) -4 (c) 0.5 c Let w = 90/17 - 1092/187. What is the closest to -0.2 in w, 0, -3/5? 0 Let h = -0.048 - -0.148. What is the nearest to -3/2 in -1/3, h, 2? -1/3 Let x be (-10)/6*(-18)/(-24). Let l = -33/20 - x. Let t = 49 + -346/7. Which is the nearest to -1? (a) -2 (b) t (c) l b Suppose -2*t + 74 = 2*x, -4*t + 3*t = -2*x + 89. Let s = x + -167/4. Which is the nearest to 2/5? (a) 0.3 (b) 5/3 (c) s a Let f = -0.06 - -0.16. Which is the nearest to 0? (a) f (b) 5 (c) 1 a Let f be 0/(-6) + 1/5. Let z = -2.02 - -0.02. Which is the nearest to z? (a) 1 (b) f (c) -3 c Let b = 63 - 190/3. What is the nearest to -3 in b, 0.3, 2? b Let l = -2280/17 - -134. Let v = 0.41 - 4.01. Let u = v - 0.4. Which is the closest to -1/4? (a) l (b) -0.3 (c) u b Let z be (2/(-5))/((-3)/10). Let v = -1.6 + 2. Let g = 0.13 - 0.03. Which is the closest to -1? (a) g (b) v (c) z a Let s be (-2)/4 + 13/(-26). Which is the nearest to 1? (a) 0.3 (b) 4 (c) s a Let q = -0.1 - 0.4. Suppose -4*s + 12 = 0, 5*s = -5*m + s + 12. What is the nearest to m in q, -4, 1? q Let o be (-2)/(-11) + -3 + 3. Which is the closest to 2? (a) -1 (b) 1/3 (c) o b Let j be 6/4 + -4 - -4. Let b = 0 + -0.1. What is the nearest to b in -1/3, j, -1/2? -1/3 Let s = 0.3 - -2.7. Let k = 3.2 - s. What is the closest to k in -2/11, 0, -5? 0 Let r = 0.4 + -0.3. Let m = 0.4 + r. Let v = 0 + 1. Which is the closest to v? (a) m (b) 4/5 (c) -4 b Let f = 0.1 - -0.9. Let j = -3.3 + 3. Let r = -36 + 254/7. What is the closest to f in j, -2, r? r Let v = -7.1 - -2.1. Let p = 0.28 + 0.02. What is the nearest to 1/4 in p, v, 3? p Suppose 0 = -2*z + 3*z - 4. Let k be 15/20 - (-9)/z. Let x = 20 + -182/9. Which is the nearest to 0? (a) x (b) k (c) 4 a Let y = 7 - 11. Let n = 4 + -1. Let x = -2.9 + n. Which is the nearest to
{ "pile_set_name": "DM Mathematics" }
2, -0.03, t? -0.03 Let r = 3 - 5. Let x = 34 + -33.54. Let y = x - -2.54. Which is the third biggest value? (a) y (b) -8 (c) r b Let v = -70.7419 + -0.1581. Let w = v - -71. What is the third biggest value in 2/11, -0.1, 0.4, w? w Let m = -0.3 - -0.6. Let q = 6263 - 6328. What is the third smallest value in q, -2, m? m Let p = 601/3 + -200. Suppose -8 = -2*h - 4*v + v, 3*v + 4 = h. What is the second biggest value in p, 5, h? h Let t = -5.2 + 17.3. Let m = t + -12. Which is the second biggest value? (a) -1 (b) m (c) -5 a Let h = 3 - 2. Let c = -2.1595 - -2.5595. What is the third smallest value in c, h, -34? h Let n = 3.8 - 0.8. Let p = -0.0621 - -0.2621. Which is the biggest value? (a) 0.5 (b) p (c) n c Let h = 411 - 41099/100. Which is the third smallest value? (a) 3/7 (b) -1/3 (c) h a Let n = 108.6 - 117.6. Let s = 7 + -10. Let c = 2 - -3. What is the second smallest value in n, c, s? s Let k(z) = 2*z + 59. Let u be k(-29). What is the second biggest value in 0.5, 2/11, u? 0.5 Let d = -1235 - -1188. Which is the third smallest value? (a) -5 (b) d (c) 1 c Let f = -119.7 - 0.3. Let v = f + 110.1. Let g = -10 - v. What is the biggest value in 2/7, g, 1/3? 1/3 Suppose 0 = -5*q + q - 12. Let s = -0.31 + -0.69. Which is the fourth smallest value? (a) q (b) s (c) 2 (d) -0.2 c Let r = -7.03 + 7. Let v be 1 + (3 - 249/18) - -3. Let q = -6 - v. What is the second biggest value in -1, r, q? r Let j = 16 + -11. Let x(w) = 4*w**2 + 37*w + 65. Let g be x(-7). Which is the biggest value? (a) 0.3 (b) g (c) j (d) 9 d Let k = 0.11 + -0.09. Let i be 21/(-12) + 3 - 1. What is the smallest value in i, -0.5, k? -0.5 Let v = 449.08 + -449. What is the fourth smallest value in -1/4, 8, -0.3, v? 8 Let d = -0.364 + 0.344. Which is the second smallest value? (a) d (b) 6 (c) -0.1 a Let w = 123/55 - 18/11. Let s = 17/54 + -5/54. Which is the third smallest value? (a) s (b) w (c) 40 c Let j(q) = q**2 + 6*q + 3. Let r be j(-3). Let d be (112/r)/(-8) + -3*1. What is the third biggest value in d, -4, -0.3, -5? -4 Let j be ((-21)/28)/(3/(-780)). Let a = 3318/17 - j. What is the second biggest value in -1/3, 1/4, a? a Let j = -6.1 + 42.1. Let r = j - 35.7. Which is the third biggest value? (a) r (b) 4 (c) -5 c Let v = 86 - 86.1. Which is the fourth smallest value? (a) -2 (b) -2/31 (c) 2/11 (d) v c Let l be 19/((-456)/176) + 8. Let z = 0 - 5. Let j be 1/4 + (-2)/40. Which is the biggest value? (a) z (b) l (c) j b Let n = 83/4 - 21. Let y = -34 - -46. Let f be (14 - y)/((-2)/(-4)). What is the smallest value in f, n, -0.3? -0.3 Let d = -120 - -842/7. Let p = 1 - 1. What is the third smallest value in p, 0.1, d? d Let z = 0.161 - -0.009. Let s be (1 - (-3)/(-2))/2. What is the fourth smallest value in 1, -0.1, s, z? 1 Let i = 117/7 - 1879/112. What is the third biggest value in -2, -0.1, i? -2 Let i = -21 + 17. Let p be (-2)/1*6/(-30). Which is the third smallest value? (a) i (b) p (c) -0.2 b Let p = -0.03 + 0.23. Let o = 0.3 + p. Let f be 1/6 - (-435)/(-450). What is the third smallest value in o, 0.1, f? o Suppose -6*q + 0*q = 0. Which is the second biggest value? (a) -3 (b) q (c) -3/5 c Let h = 239.5 + -239. Which is the third smallest value? (a) h (b) -2/7 (c) -2 (d) 125 a Let f = 124 - 79. Let j = -41 + f. Suppose 0 = a - k + 8, 4*k - 28 = a + 2*a. What is the third smallest value in a, j, 2? j Let l be 7 + -102*(-8)/(-12). Which is the second smallest value? (a) 2/11 (b) l (c) -0.4 c Let y be -4 - (-5 - (-54)/48). Which is the third biggest value? (a) 1 (b) 1/216 (c) y (d) 4/5 b Let u = -1.1 + 0.9. Let i(n) = -3*n + 3. Let q be i(5). Let h be 2*(-3)/q*-6. Which is the third biggest value? (a) h (b) 0.1 (c) u a Let s = -1965 - -1966. Which is the biggest value? (a) -5 (b) 0 (c) 2/17 (d) s d Let v be (23 + -19)/((-4)/(-9)). Let c = -77.95 - -80. Let l = c - 0.05. What is the biggest value in l, 3/5, v? v Let g be ((-48)/(-64))/((-10)/8 - -1). What is the second smallest value in 1, 14, g? 1 Let i be (-1 + 0)*(-4 - (-117)/27). What is the third smallest value in 2.6, i, 1/8? 2.6 Suppose -13*r + 10*r = 6. Let x be ((-21)/14)/(1/r). Let h be (-1)/(-36) - (-5)/(-20). Which is the second smallest value? (a) -0.1 (b) h (c) x a Let l = 18 + -14. Suppose 5*v - l*v = 3. Which is the second biggest value? (a) v (b) 1/3 (c) -7 b Let v = 430.21 + -430. Which is the second smallest value? (a) 5 (b) -12 (c) v c Let w be (58/725)/((-6)/10 + 0). Which is the biggest value? (a) 0.3 (b) w (c) 2/7 a Let l = -1497.4 - -1497. Which is the third biggest value? (a) 4/5 (b) l (c) 1246 b Suppose -7 = 4*p - 3*v, p - 2*v + 7 = -4*p. Which is the second biggest value? (a) 2 (b) -44 (c) p c Let k = 1.99 + 0.01. Let o = -63 - -63.9. Let z = 0.8 - o. Which is the second smallest value? (a) z (b) 0.5 (c) k b Let z be (0 - 12/(-60))*0. Which is the smallest value? (a) z (b) 1 (c) -5 (d) -6 d Let p = -0.3 - -0.2. Let i = -37 - -33. Let r = -0.31 + 0.31. What is the second biggest value in p, r, i? p Let t = -557/5 - -112. Suppose 6*q + 9 + 3 = 0. What is the second biggest value in t, q, 4/5? t Let g = 2/35199 - 2252890/2710323. Let x = g - -6/11. Let w = 211/7 - 30. What is the biggest value in w, x, -3? w Let p = 106.4 - 118. Let i = p - -11.56. Let m be ((-6)/8)/(27/(-24)). Which is the smallest value? (a) 0.3 (b) m (c) i c Let y = 57 - 1.7. Let l = 55 - y. Which is the fourth biggest value? (a) 5 (b) l (c) -0.5 (d) 9 c Let v(j) = j**3 + j**2 - 11*j + 4. Let u be v(-4). What is the biggest value in u, 1, -0.3, 5? 5 Suppose 0*z = 3*z + 24. Let q be (4/z)/(1/2). What is the third smallest value in 0.3, -1/57, q? 0.3 Let t = -222 - -227. Let j = 5.4 - 5. Which is the third biggest value? (a) t (b) j (c) 0.3 c Let y(x) = 7*x - 1. Let p be y(-1). Let b be 2/(-10)*(p - -4). Let s = -10.6 - -11. What is the third biggest value in b, 0.06, s? 0.06 Let x = 70 - 72.08. Let f = -0.08 - x. Let l(w) = w**3 + 4*w**2 - w - 1. Let d be l(-4). Which is the smallest value? (a) -0.3 (b) d (c) f a Let y = -0.115 + -3.885. What is the smallest value in -5, y, 2, -1? -5 Let p = 1207 - 1209. Which is the biggest value? (a) p (b) 1.5 (c) 1 b Let s = 1.94 + 0.06. Let q = -16 + 16.5. Suppose -l - 1 = -0. What is the second smallest value in s, q, l? q Let o = -155.8 - -139. Let w = o - -17. Let b be ((-6)/(-5))/((-2)/5). What is the smallest value in w, 1/3, b? b Let i = -1081 + 1052. Which is the second biggest value? (a) 0.2 (b) 2 (c) i (d) 1/9 a Let a = -1 - 0. Let g be (-635)/2286 + (-4)/18. Let b be 2/(0 - (-10)/4). What is the second smallest value in a, b, g? g Let x = -24 + -6.3. Let y = x + 30. What is the smallest value in 5, y, -1? -1 Let t = 7.4095 + -0.3415. Let i = -0.068 + t. What is the second smallest value in i, -0.2, 2/19? 2/19 Let v = 1.9 - 4.4. Let f = v + -0.5. Let m = -0.16 - -0.2. What is the smallest value in m, -3/7, f? f Let x = -6 - -9. Let k = 1328 + -1343. What is the second biggest value in x, k, -2? -2 Let f = 341 - 346. What is the second biggest value in f, 1/4, 3, 1? 1 Let i = -187 - -183. What is the second biggest value in 0.1, -0.4, i, 43? 0.1 Let i = 285 + -269.3. Let r = i + -16. Which is the third biggest value? (a) -11/3 (b) r (c) 2 a Let s = 53318531/195 + -273427. Let y = 2/65 - s. Let d = 6 - 11. Which is the third smallest value? (a) -0.5 (b) y (c) d a Let w = 0.1 + 0.9. Let n = -24.1 - -28. Let o = n - 1.9. What is the second smallest value in w, 3/4, o? w Let y = 281.3 - 281. Which is the third biggest value? (a) -5 (b) -3 (c) 0.34 (d) y b Let y = -1633/654 + -1/327. What is the second smallest value in -2, 2/7, y? -2 Let y = -0.008 - 12.992. What is the second smallest value in 2/15, y, 3? 2/15 Let v = -224/3 - -76. What is the third biggest value in v, -1/2, -1/3, 1/7? -1/3 Let g(w) = -w**2 - 2*w**2 + 4*w**2 + 4*w - 4 + 0*w**2. Let n be g(-5). Let r = 10 + -10.3. Which is the second smallest value? (a) r (b) n (c) -0.4 a Suppose -5 = 18*w - 15*w - s, -12 = 3*s. Which is the third smallest value? (a) w (b) -2/7 (c) -1.2 (d) 1 b Let u be 1*(1 + (-10)/16). Let v = -275 - -275. Which is the third biggest value? (a) -1 (b) u (c) v a Suppose -24*v - 5 = -5
{ "pile_set_name": "DM Mathematics" }
2)*(u - u + u))*(-2 + 0 + 4). -2*u**3 Expand (o**2 - 2*o + 2*o)*(0*o**3 - 3*o**3 + o**3) + 2*o**5 - o**5 - 3*o**5 - o**5 - o**5 + 5*o**5 + 0*o**5 + 2*o**5 + 0*o**5. o**5 Expand (3 - 2 + 4)*(-2*y + 0*y + 4*y) - 1 + 1 + y + 3. 11*y + 3 Expand -2*i**3 - 2*i**3 + 2*i**3 + i**3 + i**3 + 0*i**3 + (-5*i + 5*i - i**2)*(-i - 5*i + 3*i). 3*i**3 Expand 2*w - 5*w + w + 4*w + 1 - 2*w - 8*w + (-4 + 6 - 3)*(-2*w + 0*w + 3*w). -9*w + 1 Expand -5*z**3 + 2*z**3 + z**3 + (5 - 3 + 0)*(2 - 5 + 4)*(-5*z**3 + 17*z**3 + 4*z**3). 30*z**3 Expand (2 + 0 - 3)*(2 + 2 + 0)*(-2*s - 3*s + s). 16*s Expand ((-4 + 1 + 1)*(v**2 - 8*v**2 + v**2) + 0*v**2 + 3*v**2 - v**2)*(4 - 4 - 4). -56*v**2 Expand 0*v - v + 2*v + (1 + 3 - 1)*(-2*v - v + 0*v). -8*v Expand (-2 + 3 + 2)*(6*z - 2*z - z - 2*z + z + 3*z + (-4*z + 5*z + z)*(1 + 3 - 2) + 4*z - 4*z + z + 2*z + 3*z - 6*z + 3*z - 2*z + 0*z). 30*z Expand (-4*c**2 + 4*c**2 - c**2)*(0*c - 3*c**3 + 0*c) - 6*c**5 - 2*c**5 + c**5. -4*c**5 Expand (-2*n**2 - 1 + 1)*(-3 + 3 - n) - 2*n**3 + 0*n**3 + 8*n**3. 8*n**3 Expand (24*y**3 - 23*y**3 - 52*y + 2*y**2 + 57*y)*(-2 - 1 + 1). -2*y**3 - 4*y**2 - 10*y Expand (-2*w - 2*w + 2*w)*(2 - 2 + 2*w) + (4*w + 0*w - w)*(-w - 3*w + 3*w). -7*w**2 Expand (-2*u - 2 + 2)*(2 - 1 - 2 - 4 + 4 + 1 + (-2 - 3 + 2)*(-3 - 1 + 3)). -6*u Expand (0*g**2 + g**2 - 2*g**2 + 5*g**2 + 3*g**2 - 6*g**2 + (-4*g + g + 4*g)*(g - 2*g + 2*g))*(-g**2 + 6*g**2 + 2*g**2). 14*g**4 Expand (-4*v + 2*v + 0*v)*(48*v**2 + 15*v - 15*v). -96*v**3 Expand (-4*b**3 + 2*b**3 - 28 - 10)*(-2 + 2 + 2*b). -4*b**4 - 76*b Expand (-2*t**3 - 3*t**2 + 3*t**2)*(-2*t**2 + 3*t**2 + 0*t - 4*t). -2*t**5 + 8*t**4 Expand (-2*b**2 + 4*b**2 + 0*b**2)*(0 + b + 3 - b**3 - 2). -2*b**5 + 2*b**3 + 2*b**2 Expand (-4*j**2 - 2 + 2)*(j**2 - 2*j**2 + 3*j**2 + (4*j - 4*j + j)*(-3*j - j + 3*j) + j**2 - j + j + 4*j**2 + 0 + 0). -24*j**4 Expand (i**2 + 3*i - 3*i)*(41*i**2 - 421*i + 421*i). 41*i**4 Expand 3*p**5 - 4*p**5 + 2*p**5 + (0*p**5 + 5*p**5 + 3*p**5)*(0 - 3 - 1) + 5*p**5 - p**5 - 2*p**5 + 2*p**5 + 3*p**2 - 3*p**2. -27*p**5 Expand (-4*j + 4*j + 2*j)*((-j + 3 - 3)*(-2*j - 2*j + 3*j) + 4*j**2 + 6*j**2 + 2*j**2). 26*j**3 Expand 0*v + 2*v + 0*v + (2*v - 2*v - v)*(2 + 0 - 3) + 4*v - 2*v - v + 39317 - 39317 + 6*v. 10*v Expand (6*r - 2 - 5*r + 0)*(5*r - r - r). 3*r**2 - 6*r Expand ((-3 - 2 + 7)*(s - s - s) + 0*s - 4*s + 3*s)*(78*s**4 + 62*s**3 - 62*s**3). -234*s**5 Expand (1 - 1 + 1)*(-2*z**2 + 4*z**2 + 0*z**2) + 6*z**2 - 3*z**2 + z**2. 6*z**2 Expand 2*j**3 - 2*j**5 - 2*j**3 + (0 + 4 - 2)*(-j**5 + 5*j**2 - 5*j**2) + j**5 + j**5 - j**5 - j**5 - 12*j**3 + 12*j**3. -4*j**5 Expand (1 - 1 + 2)*(2*b**5 - 2*b**5 + 4*b**5) + (3 + 2 - 4)*(-2*b**5 - 4*b**5 + 4*b**5). 6*b**5 Expand (0*s**4 - 3*s**4 + 4*s**4)*(2 - 2 + 1)*(91 - 91 - 17*s). -17*s**5 Expand 2 - 2 - 5*u**4 + (-u**3 + 6*u**3 - 2*u**3)*(2*u + 3*u - 4*u) - 2*u**4 - 2*u**4 + 3*u**4. -3*u**4 Expand 3*d**2 + 4*d - 4*d + (-3*d + 4*d + d)*(-2*d - 4 + 4) + (4*d - 2*d - 4*d)*(3*d - 5*d + 0*d). 3*d**2 Expand (1 - 2*y + 0*y + 8*y)*((-6 + 2 + 2)*(-2*y + 0 + 0) + 0 - y + 0). 18*y**2 + 3*y Expand ((-3 - 1 + 6)*(-3 + 0 + 1) - 8 + 2 - 1 + 3 + 2 - 3)*(-6*u + u + 3*u). 18*u Expand -5*l**3 + 4*l**3 + 2*l**3 + (4*l - 3*l - 4*l)*(-l**2 - 4*l**2 + 3*l**2) - 5*l**3 + 4*l**3 + 2*l**3 + (-l - 2*l**2 + l)*(l - 6*l + 4*l). 10*l**3 Expand (8 - 2*k**2 - 5*k**2 - 6)*(-k**2 + k**2 + 2*k**2). -14*k**4 + 4*k**2 Expand (-z + 3*z + 0*z)*(4*z - 10*z - 17*z). -46*z**2 Expand (10 - 3*c**3 + 13 - 16)*(2*c**2 + 0 + 0). -6*c**5 + 14*c**2 Expand (3 + 0 + 0 + l**2)*(0 + 3 - 5). -2*l**2 - 6 Expand (5*d - 3*d + 0*d + (1 + 3 - 2)*(-4*d + 3*d + 3*d) + d + 2*d - 5*d + 2*d + 5*d - 5*d + 2 + 2*d - 2 + 2*d - 2*d - d)*(3 - 3 + 4). 28*d Expand (c**3 - 5*c + 5*c)*(14 - 65 - 34). -85*c**3 Expand (4 - 4 - 2)*(0 + 0 + 4*l**2). -8*l**2 Expand (0*d + d + 0*d)*(-4 + 2 + 0) + 2 - 1 + 1 + 3*d. d + 2 Expand (-4*f - 3*f + 4*f)*(-3*f**4 + 3*f**4 + 2*f**4) + (1 - 1 + 2)*(f**5 - 3*f**5 + f**5) - 2*f**5 - 2*f**2 + 2*f**2. -10*f**5 Expand (-3 + 3 + z**3)*(-2*z**2 - 2*z**2 + 3*z**2) + 151*z - 5*z**5 - 151*z. -6*z**5 Expand (4*g**2 - 5*g**2 + 0*g**2)*(-4*g + 2*g + g) + 0*g**3 - 4*g**3 + 2*g**3. -g**3 Expand (11*c + 7*c - c + (2 - 1 - 2)*(-1 + 2*c + 1) + 4*c + 2*c - 4*c)*(2 + 0 + 2). 68*c Expand 2*a**2 + 0*a + 0*a + (-6*a + 2*a - 3*a + (-1 - 1 + 0)*(-4*a - 2*a + 5*a))*(0 + 0 + 2*a). -8*a**2 Expand (5*g - 5*g - 2*g)*(2 - 4 + 0) + (30*g - 510 + 510)*(-1 - 5 + 4) + 0*g - g - g. -58*g Expand (-3*g + 2*g - 2*g)*(3*g**2 - 5*g**2 + g**2) + 3*g**3 - 5*g - g + 8*g. 6*g**3 + 2*g Expand (-3*a + 3*a + a)*(0 - 1 + 0)*(13 + 5 - 3)*(0 + 1 - 4). 45*a Expand 2*h + 3*h - 4*h + (2 - 3 + 0)*(2*h + 3 - 3). -h Expand (4*j**2 + 5 - 5)*(-j**3 - 4*j**3 + 6*j**3) + 3*j**2 + 2*j**5 - 3*j**2 + (1 - 3 + 4)*(0*j**5 - 3*j**5 + 2*j**5). 4*j**5 Expand (-1 + 1 + 2)*(2 - 2 + 2*m)*(-4*m**3 + 4*m**3 + 3*m**3) + m**4 + m**4 + 0*m**4. 14*m**4 Expand (24 - 24 + 3*h)*(-h**2 + h**2 - h**2)*(1 - h**2 - 1). 3*h**5 Expand (0*j + 3*j**2 + 0*j)*(5*j - 5*j - 7*j). -21*j**3 Expand ((-1 + 3 + 0)*(3*z + 0*z - 2*z) + 1 + z - 1)*(1 + 3*z - 4*z + 3*z). 6*z**2 + 3*z Expand -3*l**2 + 2 + 0 + 2*l**2 + (-5*l**2 + 2*l**2 - l**2)*(-13 - 1 + 1). 51*l**2 + 2 Expand (-i + 5*i - 8*i)*(0*i**2 + i**2 - 2*i**2). 4*i**3 Expand (-3 - f**2 - 1 + 6)*(2*f**3 + f**3 - 5*f**3). 2*f**5 - 4*f**3 Expand (3 + 2 - 4)*(-n**4 - 2*n**4 + n**4) - 4*n**4 + 5*n**4 - 11*n**4 + 0*n**4 + 4*n**4 - n**4 - n**4 + 3 - 3 + (0*n**3 - 2*n**3 + 0*n**3)*(n + n - n). -12*n**4 Expand (0 + 0 - 4*v)*(-3*v**3 + 0*v**3 + v**3 + (-v**3 - 1 + 1)*(0 + 5 - 3) - 2*v + 2*v - v**3)*(-v + v + 3*v). 60*v**5 Expand (0*v + 2*v - v)*(5*v**2 + 3*v**2 - 3*v**2)*(-5*v + 3*v + 4*v). 10*v**4 Expand (0 + 3 + 2*a - 6)*(-a**2 + 0*a**2 + 6*a**2). 10*a**3 - 15*a**2 Expand (t - t - 2*t)*(0 + 3 - 2) + (-3 + 2 + 2)*(3*t + t - 2*t) + 0*t + 4*t - 2*t. 2*t Expand (17 - 17 + 8*x)*(4*x**2 - 6*x**2 + 0*x**2). -16*x**3 Expand (-2*a + 2*a - a**2)*(-a**2 + 140*a - 140*a). a**4 Expand (l**2 + 2*l**2 - l**2)*(11 + 8 - 1 + 3 - 2 + 1 + (-2 + 1 - 1)*(4 - 2 - 1)). 36*l**2 Expand (-2*s + 4*s**4 + 2*s)*(-6*s + 15*s + 7*s). 64*s**5 Expand (2*t - 10*t + 0*t)*((-t - 2 + 2)*(4 - 1 - 1) + 5 - 2*t - 5 + 4*t + 3*t - 5*t). 16*t**2 Expand (0*q - 6*q + 0*q)*(-2 + 3 - 3*q + 5*q). -12*q**2 - 6*q Expand y - y - 4*y + 5 + 3*y - 5 - y + 5*y - 3*y + (-y + y - y)*(1 - 2 + 0) - 2 + 2*y + 2 - 2*y + 0 + 0. y Expand (-4*k**2 + 3*k**2 + 0*k**2)*(-9 - 12 + 12). 9*k**2 Expand (-4*i + 0*i - i)*(1 + 8 - 4). -25*i Expand (-1 + 2 + 1 + (-2 + 1 + 0)*(2 - 2 + 1))*(-15*o + 2*o - o) - 9*o - 5 + 5 - o - o + 4*o + (1 + 2 - 1)*(0*o - o - o) + o - o - 2*o + 2*o - 4*o + 3*o. -26*o Expand (-1 - 7*p + 8*p - 1)*(1 + 1 + 0). 2*p - 4 Expand (-4335*i + 4335*i + 84*i**4)*(1 + 3 - 2). 168*i**4 Expand (4 - 4 + 2*p)*(4*p - 2*p - p) + 0 + 0 - 4*p**2 + (3*p - 2*p + p)*(1 - 1 - p). -4*p**2 Expand (-60*t**2 - 5*t**4 + 60*t**2)*(-t + 1 - 1). 5*t**5 Expand (-3*c + 0*c + 2*c)*(-1 + 10 - 4). -5*c Expand (-2 - 1 + 5)*(-l + l + l)*(-6*l + 2*l + 3*l) + (5 - 2*l - 5)*(2*l + 2*l - 2*l). -6*l**2 Expand 3 - 3 - 3*z**2 + (3*z - 6*z + z)*(0*z - 2*z + 0*z). z**2 Expand (4 - 4 - 2)*(113 - 113 - 14*b)*(-3*b + 4*b + 0*b). 28*b**2 Expand (2*d + 2 - 2)*(0 + d + 0) + 0*d + 3*d**2 + 0*d - 8*d + 8*d + 3*d**2. 8*d**2 Expand -5 + 1 - i + 0 + (0 + i + 0)*(-3 - 2 + 3). -3*i - 4 Expand (2*q + q**2 - 2*q)*(-5*q**3 + 6*q - 6*q) - 3*q**5 + 5*q**5 - q**5. -4*q**5 Expand (-55 - 4 + 10)*(0*f - 2*f + f). 49*f Expand -2*y**3 - y**5 + y**4 + 2*y**2 - y**4 + (-y**4 + 2*y - 2*y)*(-2 + 2 - y) + 3*y**5 + 3*y**5 - 4*y**5 + 2*y**5 + 0*y**5 - y**5 + 5*y**5 - 3*y**5 + 0*y**5. 5*y**5 - 2*y**3 + 2*y**2 Expand (3*f - 7*f + 3*f + (2 - 6 + 2)*(f + 0 + 0) - 2*f - 3*f + 4*f)*(1 + 2 - 2)*(0 - 2 + 1). 4*f Expand (-2*n - n**2 + 2*n)*(2 - n**2 + 15*n - 15*n). n**4 - 2*n**2 Expand (33 - 33 + 6*p**2)*(-3*p**2 - 6*p**2 + 3*p**2). -36*p**4 Expand (-8*i + 0*i + 3*i)*(3*i**3 - 3 + 3). -15*i**4 Expand 3*h**3 - h**3 + 7*h**3 + (1 - h - 1)*(-2 + 2 - h**2). 10*h**3 Expand (2 + 0 - 3 + b)*(3*b**4 - 4*b**4 - b**4). -2*b**5 + 2*b**4 Expand ((0*h + h + 0*h)*(4 + 1 - 3) + 16 + 5*h - 16)*(-2*h + 3*h - 2*h). -7*h**2 Expand -i**4 + i**4 - i**4 + (-i + 3*i - i)*(2*i**3 + 0*i**2 + 0*i**2)*(-3 + 1 + 1). -3*i**4 Expand (-15*p + 8*p - 15*p)*(-5*p - p + 4*p) + (-2*p + 2
{ "pile_set_name": "DM Mathematics" }
rder. b, -0.3, -4/5, -1 Let c(k) = -k**3 + 6*k**2 - 2*k + 10. Let h be c(0). Put -2, 19, h in descending order. 19, h, -2 Let w = 4.156 + 0.044. Let f = w - 4.3. Sort f, -6, -1, -4. -6, -4, -1, f Let c be 2*7/70 + (-14)/45. Put -0.1, c, 5 in increasing order. c, -0.1, 5 Suppose -2*i = i - k - 14, -3*k + 13 = 2*i. Suppose 6*u + i = 23. Suppose 4*v = u + 9. Sort v, -5, 5 in descending order. 5, v, -5 Let n = 1 + -0.96. Let w = -162 + 153. Let v be 6 + -7 - w/12. Put 2, n, v in decreasing order. 2, n, v Let l = 1.1 - 1.9. Let f = -1.2 + l. Put f, -1/3, -1 in decreasing order. -1/3, -1, f Suppose -24*l - 17 = -3*f - 20*l, 2*l + 10 = 2*f. Sort -4, 283, f. -4, f, 283 Let a(b) = -b**3 + 5*b**2 - 6*b + 4. Let d be a(3). Sort d, 9, -1 in decreasing order. 9, d, -1 Let i = 16 + -3. Let q be (i/(-3) + 1)/(4/36). Put -4, q, 3 in descending order. 3, -4, q Let k = 387 + -386.8. Sort -0.08, k, 2/9 in decreasing order. 2/9, k, -0.08 Let a = 0.373 - -0.027. Put a, 2, -12, -0.4 in increasing order. -12, -0.4, a, 2 Let z = -3/32 + 73/96. Put 0.3, z, 166 in decreasing order. 166, z, 0.3 Let j = -64 - -37. Let m = -25 - j. Put -3, -4, m, -2 in increasing order. -4, -3, -2, m Let o be (24/(-70))/((-140)/1050). Sort 3, o, 1/2, 4 in increasing order. 1/2, o, 3, 4 Suppose 2 - 29 = 18*i + 9. Let l = -0.3 + 0.1. Put l, 0.11, i in decreasing order. 0.11, l, i Let x be 305/(-4100) + (-5)/25. Let u = -1/41 - x. Sort u, -4, -6, 3 in increasing order. -6, -4, u, 3 Suppose -44 = -7*r - 4*r. Suppose -r*u - b = 12, 16 = -2*u + 4*b - 8. Sort u, 4, 1 in descending order. 4, 1, u Suppose 0 = -18*s + 21*s + 15. Sort 4, -28, -3, s. -28, s, -3, 4 Let r be (-2)/14 + 180/35. Suppose -i + 4*z = -25, -r*z - 15 - 5 = i. Suppose a = 4*v - 8, -i*a + 2*v - 8 + 22 = 0. Put a, 0.07, 1/4 in descending order. a, 1/4, 0.07 Let y = -9 + 2. Let w be 4/84 + (-258)/126. Put y, -4, -5, w in increasing order. y, -5, -4, w Let i = 199 - 2983/15. Let o = -14 + 6. Let h = 0.15 + 0.05. Put o, i, h in decreasing order. h, i, o Let n be -6 + 13 - 0/2. Let f(h) = h**2 - 8*h + 6. Let a be f(n). Suppose 4 - 2 = x. Sort x, a, 0.5 in ascending order. a, 0.5, x Let b(a) = 2*a - 4. Let q be b(-4). Let y = -2.5 - -2.3. Put 1/2, y, q in decreasing order. 1/2, y, q Suppose 0 = -10*a + 6*a - 91*a. Put -0.06, 15, a in ascending order. -0.06, a, 15 Let q = 483 + -483.1. Sort q, 5/37, 0.5, 0 in decreasing order. 0.5, 5/37, 0, q Let j = -10 + 13.5. Let i = j - 3. Let k = 18.1 + -13.1. Sort i, k, -2/11 in ascending order. -2/11, i, k Suppose 2*b + 91 - 35 = 0. Let j be 1 - (-75)/(-12) - 7/b. Sort -1, 6, 5, j in descending order. 6, 5, -1, j Let b = -1063/9 - -118. Let a = 0.141 + -3.141. Put a, -0.1, b in increasing order. a, b, -0.1 Let u be (0 - 2) + 10 + -5. Let q be (6/(-7))/(u/(-14)). Sort -0.6, -0.1, q in ascending order. -0.6, -0.1, q Let c be ((-56)/49 + 1)/1. Put c, 2/7, -0.07 in ascending order. c, -0.07, 2/7 Let n(a) = 14 - 11 + a - 4 - 6. Let g be n(4). Sort g, -13, 5 in ascending order. -13, g, 5 Let b = -0.01 - 0.39. Put 4/3, -30, b in descending order. 4/3, b, -30 Let j be ((-1)/9*-6)/(2/(-15)). Sort -2, j, -10, 3 in increasing order. -10, j, -2, 3 Let s be 1/((-351)/297 + (-4)/(-22)). Put 5, -6, s in increasing order. -6, s, 5 Let n(p) = -3*p**2 + p + 1. Let x be n(-1). Let m be (2 - 0) + -58 + 1. Let c = 58 + m. Sort c, x, -4. -4, x, c Suppose 0 = -3*w - 4*q - 19, -4*w + 7 = 5*q + 32. Let k = 4 - 9. Let z be k/20*8/w. Sort z, -1/5, 2/9 in descending order. z, 2/9, -1/5 Suppose i + 10*i + 77 = 0. Let q(x) = x**2 + 7*x - 3. Let p be q(i). Put -4, p, 5 in increasing order. -4, p, 5 Let z(t) = -t + 7. Let c be z(6). Let r = c + -31. Let g be (-75)/10*(-3)/r. Put 9/5, -4/7, g in decreasing order. 9/5, -4/7, g Let m = -35 - -33. Let k = 33 + -31. Sort k, 11, m in decreasing order. 11, k, m Let z(c) = -19*c + 34. Let x be z(2). Sort x, 3, 26 in descending order. 26, 3, x Let j be -6*(2 - 17/3). Sort 1, -2, 5, j in decreasing order. j, 5, 1, -2 Let x = -0.33 - -0.24. Let j = -0.01 + x. Let h = -0.8 + 0.4. Sort j, h, -5 in ascending order. -5, h, j Suppose 0 = -0*h - h. Let x be (-2)/(4 + (-9)/2). Suppose 3*j - 12 = x*j - 5*b, 8 = -5*j - b. Put j, h, -1 in descending order. h, -1, j Suppose 3*t - t - 10 = 0. Suppose 0 = 4*q - q - 12. Suppose 8 + 12 = -q*v. Sort 3, v, t. v, 3, t Let v = 35.24 - 35. Let c = -5.24 + v. Sort 1, 1/2, c in ascending order. c, 1/2, 1 Let s = 2209 - 2213. Put s, 24, -2 in descending order. 24, -2, s Suppose -106 = -3*c - j, 0 = -2*c - 4*j - 13 + 77. Let v be 7/((-140)/c) + 2. Sort 7, -5, v, 5. -5, v, 5, 7 Let k = -0.3 - 0.7. Let b = 3063 + -3058. Put -0.1, k, b in increasing order. k, -0.1, b Suppose -4*f - 3*m = -34, -5*f = 5*m + 9 - 49. Suppose -4*h + 3*l = 3, -h - 5*l - f = 8. Put h, 0, 2 in descending order. 2, 0, h Suppose -o + 25 = -a, 0 = -3*o + 2*a + 70 + 1. Let x be (-35)/(-9 - -4) - 6. Let p be x + 9/o + -1. Sort 0, p, -0.1 in descending order. p, 0, -0.1 Suppose 3*w - 8*w - 20 = 0. Sort w, 3, 8. w, 3, 8 Let l = -117 + 135. Let h = -14 + l. Put -35, h, 2/3 in increasing order. -35, 2/3, h Let y be (-2 + (-888)/(-435))*(-1 - 1). Let i = -14/29 - y. Sort 13, i, 4, 2 in ascending order. i, 2, 4, 13 Let v = 14.85 + -15.05. Sort -12, 2/61, v in decreasing order. 2/61, v, -12 Let a be 63/(-14) + 2/(-4) + 3. Sort -1, a, -5 in descending order. -1, a, -5 Let p = 220 + -216. Put -13, -4, p in decreasing order. p, -4, -13 Let j be (7 - 0) + (13 - 11). Let z(n) = -n**2 + 10*n - 7. Let u be z(j). Suppose 11*p + 20 = 10*p - 3*d, -5*d = -2*p + 15. Sort u, -3, p in decreasing order. u, -3, p Let k = 19 - 36. Let q = 17.4 + k. Put q, 3, 1/2 in decreasing order. 3, 1/2, q Suppose 61*h = 72*h + 220. Put 8, -4, h in ascending order. h, -4, 8 Let g = 18.52 + 0.48. Let r = -22 + g. Sort r, -6, 1. -6, r, 1 Suppose 3*j = 3*q + 9, 9*j = 7*j - 4*q. Sort -2, 1, -1, j. -2, -1, 1, j Let s = -0.267 - 0.233. Sort s, -3/32, 4/7 in decreasing order. 4/7, -3/32, s Suppose -31 = 6*h - 25. Suppose -2 = 2*z + 2. Put h, 2, z in descending order. 2, h, z Let v = -19 + 25. Let o be (0 - 1)/((-3)/(-6)). Let r = -9 + 11. Put v, r, o in decreasing order. v, r, o Let p = 1 + 17. Let n = 17 - p. Sort n, 0.4, -3 in decreasing order. 0.4, n, -3 Let h = 7 + -7. Let g be (9 - (1 + 0)) + (1 - 4). Suppose 0 = 2*i - 5*i - 3. Sort g, i, h in descending order. g, h, i Let c = -107.9 - -115. Let q = 2.1 - c. Sort q, 5, 1 in decreasing order. 5, 1, q Suppose t + p = -14 + 16, t - 4*p = -18. Sort -5, -23, t, -1/5 in ascending order. -23, -5, t, -1/5 Let r = -93.4 + 93. Sort 0.4, -4, r, 15 in increasing order. -4, r, 0.4, 15 Let l be (-4)/14 - (-39)/(-84). Let k = -17.5 + 18. Put l, 2, k in increasing order. l, k, 2 Let d be -2 - (-2 + 2 + -10). Let m be (-8)/20 - (-1)/(-5). Let n = -27/34 + 47/102. Put d, m, n in descending order. d, n, m Suppose -w - 5*j - 24 = 0, 12*w - 7*w + 2*j = -28. Sort 0, 1, w in decreasing order. 1, 0, w Let h(b) = 2*b - 9. Let q be h(7). Let c = 105 - 105.06. Put q, 0.4, c in descending order. q, 0.4, c Let w = -95.9 - -96. Sort 0.02, 2, w, -0.5 in descending order. 2, w, 0.02, -0.5 Suppose 2*s + 4*a - 4 = -0*a, 2*s + 5 = 5*a. Let r = 0.059 - 6.059. Sort r, -2/3, s, -3/2 in descending order. s, -2/3, -3/2, r Let f = 1 + -5. Suppose 4*t = t + 12. Suppose 0 = 5*x - 5*l - 5, 0*x - t*l = 3*x + 18. Sort x, f, 2 in decreasing order. 2, x, f Suppose 5 = 60*i - 59*i. Put i, 112, 4 in decreasing order. 112, i, 4 Let s be -1 + 3823/(-10)*-1. Let k = -381 + s. Let a = 0.1 - 0.4. Sort k, -0.2, a in descending order. k, -0.2, a Suppose -2*m + 8 = l + 2*m, -4*l + 4*m - 48 = 0. Sort 2, -3, l in descending order. 2, -3, l Suppose -8*j + 7 = -6*j + 5*r, -5*r + 3 = 3*j. Sort -8, j, 4, 8 in decreasing order. 8, 4, j, -8 Suppose 3 = 2*u - 5*u - 3*s, 0 = -5*u + 3*s + 11. Put 15, 4, u in descending order. 15, 4, u Let q = 4 + -1. Suppose -p - 1 = -4*j, -q*p - 3*j + 9 = 27. Suppose 0*t + 4 = t. Sort 3, t, p in descending order. t, 3, p Let x(d) = 2*d**2 + 3*d + 1. Let i be x(-2). Suppose -9*t + 7*t = 2. Suppose -3*v = -8*v - 35. Put v, t, i in increasing order. v, t, i Let l = 10.7 - 10.7. Let x = 1/702 + 4205/4914. Put -1, -1/4, l, x in descending order. x, l, -1/4, -1 Let y = 687 - 697. Put 5, -2, y, 4 in descending order.
{ "pile_set_name": "DM Mathematics" }
actor g(p). 3*(p - 352)*(p + 1)/7 Let l = 110325/31522 + 1/15761. Let o(z) be the first derivative of z**4 + 8/5*z**5 + 1/2*z**6 - l*z**2 + 6 - 2*z - 2*z**3. Factor o(u). (u - 1)*(u + 1)**3*(3*u + 2) Let o(h) = -21*h**3 + 1776*h**2 - 49509*h - 18821. Let n(b) = -11*b**3 + 887*b**2 - 24755*b - 9411. Let z(r) = 10*n(r) - 6*o(r). Let z(j) = 0. What is j? -3/8, 56 Suppose -5/2*b**4 - 555/2*b**3 - 1095/2*b**2 + 0 - 545/2*b = 0. What is b? -109, -1, 0 Let z = 1139675/2 + -569836. Determine o, given that -3/2*o**4 + 3*o**2 - 1/2*o**5 - z - 1/2*o + o**3 = 0. -3, -1, 1 Let u(i) be the third derivative of i**6/150 + i**5/3 + 26*i**4/5 - 3173*i**2. Factor u(c). 4*c*(c + 12)*(c + 13)/5 Let o be (-288 - -287)*3/(-9). Solve 1/3*x**2 - o*x**3 + 4/3*x - 4/3 = 0 for x. -2, 1, 2 Let q(r) = r**2 - 4*r - 10. Let n be q(7). Suppose n*m - 10 = 6*m. Find d such that 7*d**2 + 8*d**2 - 11*d**m + 12 - 16*d = 0. 1, 3 Let m be 1/((-10)/20)*1/(-2). Let k(f) = 10*f**3 + 2*f**2 - 48*f - 24. Let x(j) = -j**3 - j**2 + 2*j. Let c(a) = m*k(a) + 8*x(a). Factor c(l). 2*(l - 6)*(l + 1)*(l + 2) Determine r so that 0 - 5/2*r + 1/4*r**2 = 0. 0, 10 Let g be -6 + -1 - 32732/(-1200). Let l = -2/75 + g. Let 27/4*j**2 + 81/4*j + 3/4*j**3 + l = 0. Calculate j. -3 Let p(o) be the third derivative of o**6/120 - 7*o**5/30 - 4*o**4/3 + 1951*o**2. Factor p(m). m*(m - 16)*(m + 2) Let o(i) be the second derivative of i**4/54 - 2*i**3/27 - 65*i**2/3 + 549*i. Factor o(j). 2*(j - 15)*(j + 13)/9 Let n be (-1)/(-1) + 1 + 0. Suppose z + 4*l = 6, -4*z - 3*l - 10 = -73. Suppose -i**2 + 3*i**2 - 2*i - 20 + n*i**2 + z*i = 0. Calculate i. -5, 1 Let j(t) be the second derivative of -t - 1/4*t**5 - 20*t**2 - 35/12*t**4 + 24 - 35/3*t**3. Suppose j(p) = 0. What is p? -4, -2, -1 Let q(r) = 16*r**3 + 229*r**2 - 2945*r - 25308. Let o(t) = 5*t**3 + 76*t**2 - 982*t - 8448. Let w(n) = -19*o(n) + 6*q(n). Factor w(c). (c - 38)**2*(c + 6) Let t(d) be the second derivative of d**6/120 - d**4/12 - 578*d + 3. Factor t(q). q**2*(q - 2)*(q + 2)/4 Let 864/5 - 867/5*o + 3/5*o**2 = 0. What is o? 1, 288 Let t be (-1)/(2/6)*(10 + -20). Let b be ((-62)/t + 2)/(19/(-114)). Factor -12/5 - 2*y - b*y**2. -2*(y + 2)*(y + 3)/5 Let b(h) be the first derivative of 0*h - 2/45*h**3 + 52 + 16/15*h**2. Factor b(o). -2*o*(o - 16)/15 Let t = -3545 - -3561. Let m(g) be the first derivative of 0*g**2 - t + 5/9*g**3 - 20/3*g. Let m(u) = 0. What is u? -2, 2 Let i = 6321 + -6321. Let s(p) be the second derivative of -4*p - 1/36*p**4 + i + 0*p**2 - 1/18*p**3. Solve s(y) = 0. -1, 0 Let w(c) = 4*c - 5. Let s be (4/5)/((-6)/(-15)). Let i be w(s). Find k, given that 0*k**2 - k**2 - i*k + 385 - 387 = 0. -2, -1 Let j(q) = 12*q**3 - 862*q**2 - 13*q - 13. Let y(a) = a**3 - 3*a**2 - a - 1. Let i(g) = -4*j(g) + 52*y(g). Solve i(d) = 0. -823, 0 Let u(c) be the third derivative of c**7/42 - c**6/2 - 23*c**5/6 + 205*c**4/2 - 1365*c**3/2 - 500*c**2 + 3*c + 2. Let u(a) = 0. Calculate a. -7, 3, 13 Let k(s) be the first derivative of 5*s**4/4 + 10*s**3 - 45*s**2/2 - 70*s + 5039. Determine n, given that k(n) = 0. -7, -1, 2 Factor -150 - 18 + 4*g**2 - 3*g**3 + 13*g**2 + 66*g - 2*g**2. -3*(g - 7)*(g - 2)*(g + 4) Determine v so that 100/3*v - 2*v**3 + 0 + 2/3*v**5 - 14/3*v**4 + 110/3*v**2 = 0. -2, -1, 0, 5 Factor 128*u - 255 - 1/4*u**2. -(u - 510)*(u - 2)/4 Suppose 3*l - 4*n - 12 = -n, -30 = -5*l - 5*n. Let u(o) be the second derivative of 1/28*o**4 + 0*o**3 + 0 + 0*o**2 + 27*o - 1/140*o**l. Factor u(y). -y**2*(y - 3)/7 Suppose -2*a - 4410 = -11*a. Let u = -486 + a. Factor 0*m - 6/5*m**3 - 2/5*m**u - 4/5*m**2 + 0. -2*m**2*(m + 1)*(m + 2)/5 Let i be -4*6/60 + (-17)/(-5). Let x be (9/((-108)/(-32)))/(i/2). Determine g so that -10/9*g**4 + 0*g + 0 - x*g**3 - 2/3*g**2 = 0. -1, -3/5, 0 Let u(i) = -12*i**2 - 444*i + 990. Let m(w) be the third derivative of w**5/60 + 17*w**4/12 - 38*w**3/3 + w**2 - 8*w. Let n(f) = 27*m(f) + 2*u(f). Factor n(x). 3*(x - 2)*(x + 12) Let j(k) be the third derivative of k**6/90 - k**5/9 + k**4/3 + k**2 - 175*k. Solve j(c) = 0 for c. 0, 2, 3 Suppose 10*m - 128 = 552. Suppose 0 = -4*f + 6*f + 4*g - 32, m = 5*f + 4*g. Solve 10*l**3 - 10 - l + 15*l**2 - f*l - 2*l = 0. -2, -1/2, 1 Determine c so that -50*c**5 - 64000 - 57608*c**3 - 149250*c**2 + 281134*c + 29266*c - 2960*c**4 - 203230*c**2 = 0. -20, 2/5 Let k(c) be the first derivative of -3*c**5/80 - c**4/16 + c**3 + 41*c**2 + 156. Let u(f) be the second derivative of k(f). Determine q so that u(q) = 0. -2, 4/3 Suppose 4*u - 18 = -10. Let o be 8/(-12)*3 - (-13 - u). Factor -6*r**4 + 6*r**2 + 12*r**3 + 3*r**5 + o*r**4 + 3*r**3 + 5*r**4. 3*r**2*(r + 1)**2*(r + 2) Factor 99*j - 1/2*j**2 - 197/2. -(j - 197)*(j - 1)/2 Let r(s) = 5*s**2 - 35*s. Let t(g) = 3132 - 3132 + g. Suppose -v = -8*v - 210. Let q(f) = v*t(f) - r(f). Let q(a) = 0. What is a? 0, 1 Let b(m) be the third derivative of 0*m - 3/2*m**4 + 0*m**3 - 2/5*m**5 + 4/15*m**6 + 0 + 62*m**2 + 4/35*m**7 + 1/84*m**8. Suppose b(j) = 0. What is j? -3, -1, 0, 1 Let c = 31/39 - 6/13. Let b be -13 + (-3015)/(-225) - (-1)/(-15). Determine d, given that 2/3 + c*d**4 - 1/3*d - d**2 + b*d**3 = 0. -2, -1, 1 Factor -558 - 2*a**2 + 793 - 3148*a + 1810*a + 1105. -2*(a - 1)*(a + 670) Let a(z) be the third derivative of -z**8/1848 - 2*z**7/1155 + 3*z**6/220 + z**5/165 - 2*z**4/33 + 1947*z**2. Find m such that a(m) = 0. -4, -1, 0, 1, 2 Let s be (-16)/18 - (-4480)/1152. Let v(d) be the third derivative of 2/9*d**s - 2*d**2 + 1/90*d**5 + 0*d - 1/12*d**4 + 0. Determine a so that v(a) = 0. 1, 2 Solve 56*v - 169*v - 270*v**2 + 271*v**2 = 0 for v. 0, 113 Suppose -155*m + 2*f = -156*m + 32, -m - 3*f + 35 = 0. Let h(j) be the second derivative of 0 - 1/3*j**2 + 7/72*j**4 + 1/3*j**3 + m*j. Factor h(n). (n + 2)*(7*n - 2)/6 Factor 18 - 39/2*c + 0*c**2 + 3/2*c**3. 3*(c - 3)*(c - 1)*(c + 4)/2 Let a(g) be the third derivative of -49*g**7/195 - 2303*g**6/195 - 1288*g**5/65 - 548*g**4/39 - 16*g**3/3 - 604*g**2. Factor a(z). -2*(z + 26)*(7*z + 2)**3/13 Find b such that -78*b + b**2 + 0 + 79 - 14 - 23 + 110 = 0. 2, 76 Let i(p) = -28*p**4 - 161*p**3 + 444*p**2 + 2740*p - 412. Let z(y) = 56*y**4 + 321*y**3 - 888*y**2 - 5480*y + 828. Let n(u) = -7*i(u) - 3*z(u). Factor n(f). 4*(f - 4)*(f + 5)**2*(7*f - 1) Let r = -8463 - -8471. Let d(h) be the first derivative of 0*h**3 + 1/3*h**6 + r + 0*h - h**4 + 2/5*h**5 + 0*h**2. Suppose d(a) = 0. What is a? -2, 0, 1 Let w(d) = -2*d**3 - 53*d**2 + 157*d + 350. Let u be w(-29). Factor 10/11*l**3 - 34/11*l - 4*l**u + 20/11. 2*(l - 5)*(l + 1)*(5*l - 2)/11 Determine z so that -10*z**2 - 22*z**2 - 50*z**2 - z**4 - 4*z**2 - 44*z**3 - z**3 = 0. -43, -2, 0 Let z = 17330 + -86646/5. Find m, given that m - 3/5*m**3 + 2/5 - z*m**2 = 0. -2, -1/3, 1 Let -126/19 - 46/19*d - 4/19*d**2 = 0. Calculate d. -7, -9/2 Find t, given that 834*t**2 - 17970*t**2 - 15497 - 62417*t + 24424 - 366*t**4 + 4776*t**3 + 22433*t + 24001 + 9*t**5 = 0. -2, 2/3, 14 Let q = 1974/289 + -12951/2023. Solve 3/7 + 0*i - q*i**2 = 0 for i. -1, 1 Factor 4605/8*k + 3/8*k**3 + 1161/8*k**2 + 3447/8. 3*(k + 1)*(k + 3)*(k + 383)/8 Let g = -357418 + 1072255/3. Factor -4/3*b**2 - 4/3*b + g*b**3 + 16/3. (b - 4)*(b - 2)*(b + 2)/3 Let d be ((-19 - -19)/(-5))/2. Let l(p) be the second derivative of 21/16*p**4 + 3/5*p**5 - 1/2*p**3 + 3/40*p**6 - 9/2*p**2 + d + 41*p. Let l(g) = 0. What is g? -3, -2, -1, 2/3 Let y(d) be the third derivative of d**6/30 - 28*d**5/3 + 4757*d**4/6 + 20164*d**3/3 + 2183*d**2 - 2*d. Factor y(l). 4*(l - 71)**2*(l + 2) Suppose -x + 0*x - 19 = 4*k, 5*k - 2*x + 14 = 0. Let t be (0 + 2)*3 + k. Let g(p) = 2. Let c(z) = z**2 - z + 3. Let f(r) = t*c(r) - 3*g(r). Solve f(a) = 0. 0, 1 Let q(v) = 276*v**3 + 144*v**2 + 888*v + 760. Let j(y) = 208*y**3 + 143*y**2 + 889*y + 759. Let u(h) = -4*j(h) + 3*q(h). Factor u(p). -4*(p + 1)*(p + 7)*(p + 27) Solve -194*s + 586*s + 502*s - 99*s**2 + 66*s + 4*s**3 + 283*s**2 = 0 for s. -40, -6, 0 Let r(x) be the first derivative of -13*x**3/3 + 37*x**2/2 - 30*x - 277. Let c(k) = -37*k**2 + 111*k - 91. Let q(a) = 6*c(a) - 17*r(a). Factor q(p). -(p - 36)*(p - 1) Find o, given that 0*o**2 + 230/3*o**4 + 0*o - 2/9*o**3 + 0 = 0. 0, 1/345 Suppose 18*q - 408 = 294. Suppose q*f = 17*f + 66. Find t, given that 0 + 0*t**2 - 1/2*t + 1/2*t**f = 0. -1, 0, 1 Let n(x) = 6
{ "pile_set_name": "DM Mathematics" }
2. Let t be r(-2). Suppose -6 + t = -2*p. Solve p*c = c for c. 0 Let l be 11*2/(3 - 1). Let i = -7 + l. Suppose 11 = i*j - 5. Solve j - 3 = -z for z. -1 Let g = -3 + 5. Suppose 0*z + 2*z + 4 = -2*a, 0 = -g*a - 3*z - 6. Solve a*u + 2*u - 6 = 0 for u. 3 Suppose 0 = -0*j + 5*j + 5*q, 0 = -2*j + 2*q. Solve j = -x - 0*x - 2 for x. -2 Suppose -l + 13 = -2*j, 19 = -5*j + l - 12. Let u be (j + 4)*9/(-2). Suppose u*x = 4*x + 75. Solve -x = t + 2*t for t. -5 Suppose 0 = -4*z - 3*i + i + 18, -23 = -4*z + 3*i. Solve 0*k - z = k for k. -5 Suppose -3*s + 8*s - 25 = 0. Solve -s + 3 = -2*o for o. 1 Let y = 91 + -91. Solve y = -3*n + 1 + 2 for n. 1 Let i(a) = -a + 1. Let k(d) = -2*d + 2. Let v(l) = -3*i(l) + 2*k(l). Let g(n) = -n**2 - 8*n + 1. Let w be g(-8). Let u be v(w). Solve u = -0*t - 3*t - 3 for t. -1 Suppose 8 = 3*a - 2*h, 2 = -2*a + 3*h + 2*h. Suppose -l - a = -2*b, 5*b = -2*l + 21 - 2. Solve u = -b*u for u. 0 Suppose 5*h - 7*o + 10 = -2*o, -3*h = -5*o + 16. Suppose h*b - 9 = 0, 4*m + 0*m - 3 = 3*b. Suppose 5*q - m*q - 10 = 0. Solve -5*k + 10 + q = 0 for k. 3 Suppose -107 = 2*y - 267. Let u be (2/(-4))/((-1)/y). Suppose 3*g + 5*r - u = -15, -r = g - 5. Solve g*d = 5*d for d. 0 Suppose -3*c - 400 = -c. Let y be c/(-24) - (-4)/6. Suppose 0*g + 10 = -2*g, -3*u = 3*g + y. Solve -2*s = 2 + u for s. -2 Suppose 5*r + 4*t = r, -r + t + 10 = 0. Solve -r*i + 10 = 30 for i. -4 Let c = 6 + -1. Suppose -2*p - g + 2 = 0, -g + 2 = c*p - 0*g. Solve p = -0*d - d for d. 0 Let t = -2 + 4. Suppose -3 - 15 = -t*n. Solve 0*h + n = -3*h for h. -3 Suppose -2*m = -23 + 17. Solve -m*z + 8*z = 5 for z. 1 Suppose -i - p + 4 = 0, 0*i + 16 = 5*i + p. Suppose -i*z + 10 = -14. Solve -2*h = z - 0 for h. -4 Suppose 15 = 4*c - 5. Solve h + c = 6*h for h. 1 Let n be 2/(-6) + 366/18. Solve -6*k + k + n = 0 for k. 4 Let a(r) = r**3 + 6*r**2 - r - 3. Let t be a(-6). Let o be ((112/(-20))/7)/(1/(-5)). Solve -o = t*u + u for u. -1 Suppose -k - 6 = -2*k. Let t(w) = -w**2 + 6*w + 5. Let r be t(k). Solve 9 = -r*a - 1 for a. -2 Let m = -22 + 33. Solve 4*t = 1 + m for t. 3 Let p = -24 - -44. Solve -5*y - p = -5 for y. -3 Let v(q) = 5*q**2 + q + 1. Let l be 1 + (-2 - -2) - 2. Let i be v(l). Suppose t - 12 = -0*t. Solve t + 13 = i*x for x. 5 Let b(t) = 2*t + 6. Let g be b(6). Let q be 176/g - (-2)/9. Suppose u + 0*z = -z + 2, 0 = -u - 5*z + q. Solve -d - d + 2 = u for d. 1 Let t(d) = -d + 23. Let f be t(15). Solve -f*p - 8 = -4*p for p. -2 Suppose 0 = -y - 2*h, -45 = -5*y - 3*h + 8*h. Solve -5*v = -19 - y for v. 5 Suppose o = 1, -4*q - 5*o + 0*o + 17 = 0. Let c be 4/8*(1 + (-4)/4). Solve y - q*y - 4 = c for y. -2 Suppose -15*t = -9*t - 18. Solve t*x - 5*x + 4 = 0 for x. 2 Let i be (3/2)/(2/4). Suppose 5*x + g - 7 = 0, -i*g = 5*x + g + 2. Solve 0 = -s + 4 - x for s. 2 Suppose 0 = 3*h, f = 6*f - 5*h - 15. Solve -j - f = -4 for j. 1 Let u(v) = -6*v. Let x(f) = f**2 - f - 3. Let s be x(3). Suppose -16 - 16 = s*g - 5*i, 2*i - 4 = -g. Let w be u(g). Solve 5*r = -w + 9 for r. -3 Suppose -2*v + 9 = v, 2*d - 5*v = -15. Solve i + 4*i - 25 = d for i. 5 Suppose 0 = -5*w + 6*w - 2. Suppose -4*q + 4*z + 56 = 0, 0 = 5*q - 4*z - 30 - 44. Solve -4*y + q = w for y. 4 Let d be -1 + (2 - (3 - 4)). Solve d*z - z + 1 = 0 for z. -1 Let w = -3 + 7. Suppose -x + w*x = 15. Suppose -2*f + x*s = -6*f + 8, 0 = 3*s. Solve -f*a + 4 = -a for a. 4 Let k(b) = b - 4. Let o be k(6). Suppose o*t = -2*t. Solve t = -0*g + 5*g - 25 for g. 5 Let n be 2 + (4 - 2) + -3. Let k = n - 1. Solve k = -0*w - 3*w + 6 for w. 2 Let x = 26 - 26. Solve 5*q + 0*q + 15 = x for q. -3 Suppose 5*x + 5*c = 80, -c + 3 + 1 = 0. Suppose -3*o - g + 17 = 0, -2*o - 4*g = -3*g - x. Let q(h) = -h**2 + 8*h + 2. Let i be q(8). Solve o = z - i*z for z. -5 Let t(i) = -2*i**2 - 18*i + 12. Let p be t(-9). Solve -2*x - 2 + p = 0 for x. 5 Suppose -5*c = -0*i - i - 33, 4*i - 43 = -5*c. Suppose 0 = -26*u + 25*u + 3. Let b = c - u. Solve 2 = -2*g - b for g. -3 Suppose 4*t - 24 = 5*u + 15, 0 = 2*t - 4*u - 24. Solve 0 = -2*c - c + t for c. 2 Suppose -v = -2*v + 24. Let b be (7/(-21))/((-2)/v). Solve b*l = -0*l - 12 for l. -3 Let i = 14 - 9. Suppose 0 = -i*u + 3*u + 8. Solve -u*j - 9 = 7 for j. -4 Let q = -1 + 4. Let y(x) = -x**2 + 4*x + 1. Let i be y(q). Solve i*h + 1 = -3 for h. -1 Let g = 7 + -4. Let o = g + 0. Suppose -j = -3, j + 12 = o*u + 5*j. Solve -l - 1 + 2 = u for l. 1 Let a(y) = y**3 - 7*y**2 + 12*y. Let h be a(5). Solve -9*q = -4*q - h for q. 2 Let i = 20 + -20. Solve i*f = -4*f - 12 for f. -3 Let r = 0 - 0. Let l(z) = z + 4 + 4 + r*z. Let q be l(-6). Solve c - 3 = -q*c for c. 1 Let u(d) = -4*d + 1. Let x be u(4). Let f = 18 + x. Solve 4 + 5 = -f*c for c. -3 Let h be 80/15 - (-4)/6. Solve 4*u - h*u = 0 for u. 0 Suppose -2*i = u - 3*i + 2, u - 2*i + 5 = 0. Let o = 14 - 10. Solve -o*j = -u + 9 for j. -2 Let n(h) = h**2 + 4*h - 2. Let y be n(-4). Let b be ((-3)/y)/((-7)/(-14)). Solve k - 4*k - b = 0 for k. -1 Let o be (-72)/(-7) + (-4)/14. Let f be (3 - 2)/(2/o). Solve f*j = 3*j - 2 for j. -1 Let b = 14 - 8. Solve -b*y = -y - 10 for y. 2 Suppose 2*h + 4 = 4*h. Suppose -2*j + 27 = 5*m - 43, -5*j - 2*m + 133 = 0. Solve -3*i + j = h*i for i. 5 Suppose 12 = 3*w + w. Suppose -w*g = -18 - 24. Solve g + 1 = -3*n for n. -5 Let h(l) = -8*l - 1. Let w be h(-1). Let n = w + -5. Let s be (-10)/5*(-3)/n. Solve 15 = s*r - 0*r for r. 5 Let d(a) = a + 16. Let v be d(-14). Suppose -3*l - 5 = 5*s - 18, 0 = -v*l + 5*s - 8. Solve -f + l = -2*f for f. -1 Let k be ((-12)/(-7))/(6/21). Suppose w = k*w. Solve i + i - 4 = w for i. 2 Let f = 19 + -15. Solve -f*i + 4 = -8*i for i. -1 Let i = -83 - -86. Solve -4*f - i = -3*f for f. -3 Let d = 15 + 4. Suppose 5*s = d + 31. Let x = 17 - s. Solve 2 = -5*o + x for o. 1 Let v = 0 - -1. Let g = v - -2. Solve g = -2*s - s for s. -1 Suppose 28 = 33*c - 26*c. Solve -g - c*g = 15 for g. -3 Let x be 68/18 - 6/(-27). Suppose 0 = j - x. Solve -5*y = 29 - j for y. -5 Let k(h) = -h**2 - 3*h + 2. Let m = 4 + -7. Let s be k(m). Let i = s + -2. Solve i*d = -2*d - 4 for d. -2 Suppose -4*m + 0*s + 17 = -3*s, -m = -4*s - 14. Solve m*u = -0*u + 8 for u. 4 Let p = -18 + 30. Solve -4*g + 0*g - p = 0 for g. -3 Suppose 13 = -m + c - 2*c, 3*m = 4*c - 46. Let w = 8 + m. Let z = 6 + w. Solve -6*q + q - 10 = z for q. -2 Let g = -14 + 19. Solve 11 = -g*a + 26 for a. 3 Suppose 2 + 3 = 5*n. Let f be 0/(n + 0/1). Solve 2*x - 10 = -f*x for x. 5 Suppose 0 = 3*u - 8*u. Let f be 1 + -4 + 20/5. Solve u = -s - f - 2 for s. -3 Suppose -5*b + 5*m + 20 = 0, -3*b + 0*m = -2*m - 8. Suppose 2*l + 4*w - 34 = b, -l - w = -0*l - 13. Let f be 55/15 - 2/3. Solve 3*c - l = -f for c. 2 Suppose 4*c + 76 = 4*j, -5*c = -4*j - 29 + 121. Let m be 2/3 + c/24. Solve m = 3*t - 2*t + 2 for t. -2 Suppose -3*p - 15 = 5*s, 5*s - 2*p = p - 45. Let a be (-5)/15 + (-2)/s. Let h be (3/2 - 1)*a. Solve -k + h*k + 4 = 0 for k. 4 Suppose -4*c = -3*c - 2. Let d = 0 + c. Suppose d*g = -2*g + 136. Solve 5*f - 9 = -g for f. -5 Suppose 6 = -5*g + 1. Let y be 0*(-2)/(-4)*g. Suppose -2*r + 0*r + 4 = y. Solve 4*k = r*k - 8 for k. -4 Suppose 23 = 5*m - 7. Let l(y) = -y**3 + 8*y**2 - 5*y - 8. Let j be l(7). Solve 0 = 3*n - m - j for n. 4 Let l(b) = 4*b**2 + b + 1. Let q be l(-1). Let n = 6 - q. Solve 0 = n*p - 4*p - 4 for p. -2 Let k = 5 + -3. Suppose -k*x = x - 12. Solve -2*y - 6 = -x*y for y. 3 Let w = -6 - 0. Let s be (1 + -1*4)*1. Let j = s - w. Solve j*h + 10 = 1 for h. -3 Suppose 0 = w - 3*w. Suppose -4*z = -w*z. Solve z = -5*a + a + 8 for a. 2 Let g = 4 - 1. Solve -4*i = -g*i + 3 for i. -3 Suppose 5*r = -3*b + 11, -5*r = -2*r + 15. Solve d - 5*d = b for d. -3 Suppose 0 = -4*k - 4*p + 4, 2*k - 4*k + 2*p - 2 = 0. Let s be 15 + -19 + (3 - -1). Solve k = t - s*t for t. 0 Let k be 2/(-8) + 567/(-36). Let b be (k/12)/((-6)/9). Solve b*u = u - 4 for u. -4 Suppose 2*t - 3*t = -2. Let w be 2/(3 - (0 + t)). Suppose -10 = 2*d + d - 5*a, -w*d - 2*a = -20. Solve 4 = -d*i - 21 for i. -5 Suppose -3*y + 6 = 4*c, -11*c + 16 = -9*c - 5*y. Solve c = -w + 1 for w. -2 Suppose 2*z + 4*r - 11 - 15 = 0, 3*z - 3*r = 3. Suppose -2*y + y = -5. Solve 0 = z*n + y for n. -1 Let q be -1 + 0 - (-2 + -2). Suppose 2 = 5*m - q. Let i be 10/(m + (-1)/2). Solve 0 = 4*o + o - i for o. 4 Suppose 134 = 4*h + 6. Suppose -3*j = -7*j + h. Let t = -8 - -11. So
{ "pile_set_name": "DM Mathematics" }
e in h, s, d? d Let t = 343 - 348. Which is the third smallest value? (a) -4 (b) 0.3 (c) 2/11 (d) t c Let x = -24 + 24.4. Let p = -2.2 + 2.7. Which is the smallest value? (a) x (b) 3/4 (c) p a Let x = -2.7 - -13.7. Let l = 12 - x. Let w = 2 - l. What is the third smallest value in -5, 0.4, w? w Let l = -2 - 6. Let u be 1 - (2/(-1) - 15). Let p = 35/2 - u. What is the smallest value in p, -0.4, l? l Let s = 0.1 - 0. Let a = -1.0317 + 0.9717. What is the second smallest value in -2, 0.2, s, a? a Let h = 132 - 134. Let v = 0.8 + -0.4. Let b = 3 - 4. What is the smallest value in v, h, b? h Suppose -p + 947 - 918 = 0. What is the fourth biggest value in 3/8, -5, p, 9? -5 Suppose 2*p + 3 = z - 6*z, -3*p - 3*z = 0. Let u = 1/29 - 67/261. Which is the second smallest value? (a) p (b) u (c) -2/3 (d) 3/7 b Let z = -487 - -487. Which is the third smallest value? (a) -5 (b) z (c) 32 c Suppose -7*o = -2*o + 315. Let c be 1 - (-1 - -1) - o/(-42). What is the second biggest value in c, 1/9, 1, 0.2? 0.2 Let k = -13.99 - 0.01. Let v = -14.5 - k. Let o = -7 - -2. What is the second smallest value in o, -2/7, v? v Let b = 5.176 - 0.176. What is the third smallest value in b, -3, -2, -1/4? -1/4 Let h = -77 - -75. What is the third smallest value in 4, 0.3, -4/15, h? 0.3 Let v(t) = t**2 + 144. Let l be v(0). Let h be 1 - 0 - (-132)/l. Let z = h - 5/3. Which is the smallest value? (a) 2 (b) 0.3 (c) z c Let v = 59/3 - 20. Suppose n - 8 + 9 = 0. Which is the second smallest value? (a) v (b) n (c) -1.4 b Let y = 46 - 21. Let l = 89/14 + -216/7. Let r = y + l. Which is the third smallest value? (a) 1/3 (b) -0.1 (c) r c Suppose -4*g = -2*g + 8. Let y be (-9 + 12)/(1/(-9)). Let o = -25 - y. What is the third biggest value in o, g, -2/9? g Let o = 7 - -38. Let w = -45.1 + o. Let m be (6/(-81))/((-2)/(-12)). What is the second biggest value in m, w, -0.4? -0.4 Let s(i) = -i**3 + 2*i**2 - 1. Let q be s(1). Let k = 45.862 - 46. Let n = 0.038 + k. Which is the second smallest value? (a) q (b) 3 (c) n a Let q = -1.66 + 0.66. Suppose -5*z + 1041 = 201. Let g be ((-1)/(-4))/((-98)/z). Which is the biggest value? (a) -4 (b) q (c) g c Let z = 4.5 - 4.9. Let f be (-1)/(-12) + 6/(-48)*6. What is the second biggest value in -1/13, z, f? z Let z = -1.03 - 47.97. Let i = z + 54. Which is the fourth smallest value? (a) -2/7 (b) 0.1 (c) i (d) -1/5 c Let j = -7 - -12. Let u = -40 + 42. Let x be 0 - (85/(-35) + u). Which is the second biggest value? (a) x (b) -0.1 (c) j a Let m = -11 - -6. Let g = 35 - 27. Suppose 0 = -g*o - 3 - 21. What is the biggest value in 3, m, o? 3 Suppose 2*v - 3*v - 4*s = 6, -2*v - 3*s = -3. Let o be 9/(-6)*v/(-4). Which is the second smallest value? (a) -5 (b) o (c) 0 c Let q = 931 + -931.557. Let r = q + 0.057. Which is the fourth biggest value? (a) r (b) -1 (c) -0.1 (d) -2 d Let y = 9 + -8.76. Let h = y + -0.04. Let v = -4.047 - -0.047. Which is the biggest value? (a) 0.13 (b) h (c) v b Let v be (-5 - -2)/((-45)/10). Let q = 241 - 243. Which is the third biggest value? (a) v (b) q (c) -0.06 (d) 3 c Let g = -3.369 - -0.069. Let s = 6.3 + g. Which is the biggest value? (a) 5 (b) -0.08 (c) s a Suppose -3*d + 26 = -7. Suppose 4*o + 15 - d = 0. Let q = -28 + 335/12. Which is the third biggest value? (a) q (b) 0.4 (c) o c Let g = 15944/1351 + -72/193. Let m = g - 414/35. Let o = 2 - 3/2. Which is the smallest value? (a) o (b) 3 (c) m c Suppose -3*r + 135 = 39. Let i = 30 - r. Which is the third smallest value? (a) -2/23 (b) i (c) 4 c Let v = -1744/21 - -376/7. What is the second smallest value in -1, v, -5? -5 Let g be (2/(-15))/(18/(-30)). Which is the second biggest value? (a) g (b) 1/5 (c) 0.02 b Suppose 72*s = 74*s + 8. Which is the third biggest value? (a) 2 (b) 1 (c) s c Let l = -9 + 8.9. Let q(d) = d + 17. Let n = 26 - 41. Let f be q(n). Which is the third biggest value? (a) 0 (b) l (c) f b Let f = -3.262 - -0.262. Let o = -3.4 + 4. What is the biggest value in -2, o, f? o Let j(n) = -n**3 - 22*n**2 + 23*n + 3. Let i be j(-23). Which is the fourth smallest value? (a) i (b) 0.4 (c) -20 (d) -3 a Let o = -12 - -12.6. Let d = o + -0.7. Let j = d + 0.2. What is the third smallest value in -3, -5, j? j Let p = 41.75 + -4.85. Let u = p + -37. What is the second smallest value in -0.5, 5, -4, u? -0.5 Suppose -2*p - 4*u - 20 = 0, 0 = -2*p + 7*p + 4*u + 26. Let g be (p - 1)*22/(-231). What is the biggest value in g, 0.5, 1? 1 Let r = 1 - 0.8. Let q = -99 + 498/5. Which is the biggest value? (a) q (b) -2 (c) r a Let k = -38/165 + 1/33. Which is the second biggest value? (a) 3 (b) k (c) 13 a Let h = 86 + -691/8. Let t = -36 - -48. Let u = -15 + t. Which is the biggest value? (a) -0.5 (b) u (c) h c Suppose -20 = -2*q - 3*q. Suppose 34 - 42 = q*d. What is the third biggest value in d, -0.1, 1/21? d Let q = 4.7 - 0.7. Let t = -3114.7 - -3115. Which is the smallest value? (a) q (b) -0.06 (c) t b Let s = -60.05 - -69.701. Let q = s + 0.049. Let g = 10 - q. Which is the biggest value? (a) 4 (b) g (c) 2 a Suppose v = -0*v. Let z = -1109/7293 - 1/561. Which is the smallest value? (a) 0.3 (b) v (c) z c Let d = -7 + 6.4. Let v = -3.4 + d. Let u be (3 + (2 - 0))*-1. What is the second biggest value in u, 2/9, v? v Let d(r) = -6*r - 28. Let s be d(-3). What is the biggest value in 2/7, s, 3/2, -2? 3/2 Let f be (2/(-6))/((-10)/(-40)). Let k = 8 + -16. Let l = 1.5 - -2.5. What is the third biggest value in f, l, k? k Let j = -124/903 + 10/43. Let w be (1 + 3)*(-14 + 11726/836). Which is the smallest value? (a) j (b) 0.2 (c) 2 (d) w a Let w = 7 - 5. Let y = -6.63 + 6.23. What is the second biggest value in w, y, 3? w Suppose 3*w - 12 = -w. Suppose -4*i + 3 = 5*y, -w*i - y = -3 - 2. Which is the second biggest value? (a) 0 (b) i (c) 0.4 c Let g = -0.815 + -0.185. Which is the second smallest value? (a) -2/11 (b) g (c) -2/13 (d) 1/3 a Let s = -5.189 + -0.011. Let u(h) = h**3 - 22*h - 189. Let q be u(7). Which is the third biggest value? (a) 0.1 (b) q (c) s c Let u = 1137.5 - 1138. What is the fourth smallest value in -80, 2/13, 2, u? 2 Let u = -1246.3 - -1246. Let y be (-2)/3 - 17/(-3). Which is the fourth biggest value? (a) -5 (b) 0.3 (c) u (d) y a Let o = -5.1 - 1.5. Let w = o - -7. What is the fourth biggest value in w, -0.3, -2, 1? -2 Suppose 3*a = 2*a - k + 6, 4*a - 2*k - 6 = 0. Let w = 0.21 + 0.25. Let h = -2.46 + w. What is the second biggest value in a, -0.2, h? -0.2 Let n = 0.1 + 0.55. Let u = 0.05 + n. Let r = 0.3 + u. Which is the third biggest value? (a) 0.3 (b) 3/4 (c) r a Let t = 0.12 + 0.18. Which is the third biggest value? (a) -5 (b) t (c) -2 a Suppose -33*a = -5*a - 28. What is the fourth smallest value in -11/4, a, -0.2, -2/5? a Let c be 3/8*(-24)/2. Let l = -415 - -417. What is the third biggest value in c, l, 3? c Let t = -4 + 8. Let v be 1/(t/2)*-53. Let m = v + 27. Which is the second smallest value? (a) m (b) 1/4 (c) -4 b Let w = 1579 + -1577. Let n be (-3)/2*(-8)/(-102). What is the third biggest value in n, 2/17, -0.1, w? -0.1 Let i = -297 + 297.5. What is the third smallest value in -3.5, 1, i, -0.2? i Let j be 10/4*72/300. Let m = -1.79 + -0.21. Let y be -1 + -1 + 48/30. What is the biggest value in j, m, y? j Let t = -2.172 - -0.172. What is the third smallest value in t, 0, 1/7? 1/7 Let u(l) = 2*l**2 - 10*l + 5. Let p be u(0). Which is the second smallest value? (a) p (b) -0.1 (c) 2 (d) -10 b Let t be (-3)/(-9) - 0 - 11/15. Let n = -22.3 - -22. Which is the biggest value? (a) t (b) n (c) 1 (d) -0.5 c Let p be 19/114 - 35/(-6). What is the second biggest value in 3/2, 0.1, p, 2/9? 3/2 Suppose -29*t + 3 = -28*t + m, -t + 5*m - 15 = 0. What is the smallest value in 2/3, t, 1/4, -3? -3 Let c be (-2)/(-23) + (-1276)/(-667). What is the biggest value in 1, c, -81? c Let g be ((-276)/144 - 5/(-20))*3. Which is the third smallest value? (a) 3 (b) g (c) -3 (d) 5 a Let z = -1.06 - -26.06. Let c = -25.1 + z. What is the second smallest value in c, -1/2, -22? -1/2 Let h = -5719/2 + 2934. Let j = 76 - h. Let c(d) = d**2 + 2*d - 2. Let i be c(-2). What is the third biggest value in -5, j, i? -5 Let k = -71 - -202. Let f = 131.3 - k. Whic
{ "pile_set_name": "DM Mathematics" }
value in n, 2, 3, w? 3 Suppose -260 = -3*c - 2*c. Suppose 0 = -3*p - 3*x - 96, 4*x - c = 2*p - 0*p. Let v be -2*(0 + 3/p). What is the second smallest value in -4, 4, v? v Let i be 7/28*-42*2. Which is the third biggest value? (a) i (b) 4 (c) 4/7 a Let y = -1/10 + -7/30. Suppose 0 = g + 2*g + 5*d + 18, 0 = -3*g + 4*d + 9. Let j be ((-1)/g)/((-4)/3). Which is the smallest value? (a) 4 (b) y (c) j c Suppose 20*t = 23*t - 33. Let g be (t - 10) + 3/1. Which is the second smallest value? (a) g (b) -2/9 (c) 2/9 c Let j = -148 - -439/3. What is the second biggest value in 0.5, 60, j? 0.5 Let w = -0.37 + 0.374. Let x = w - 5.004. What is the biggest value in -1, x, 5? 5 Let k = -269/530 - -2/265. Which is the third smallest value? (a) 2.2 (b) 3/13 (c) k a Let x = 0.8 - 1. Let w = -54.98 - -55. Which is the biggest value? (a) -2/3 (b) x (c) w c Let l = -0.1 + 0. Let b = 648 - 647.9. What is the biggest value in -0.5, l, b? b Let v = 1394 + -1394.2. Let s = 1 + -2. Which is the fourth smallest value? (a) v (b) 4/3 (c) s (d) -4 b Let q = -0.09 - -0.03. Let v = -782 - -780. Which is the smallest value? (a) v (b) q (c) -3 (d) 9 c Suppose -2*u + 11 = 2*h - 1, h + 26 = 3*u. Suppose -4*l = -u, l - 10 = -2*n - 2*l. Which is the third smallest value? (a) 5 (b) n (c) 0 a Let z = -0.24 - 0.16. Let k = -9 + 6. What is the second biggest value in z, k, -1/3? z Let y = 397 + -397.1. Which is the third smallest value? (a) 0 (b) -2 (c) y (d) 32 a Let v = -0.0108 + 1.6108. Let n = -1.5 + 1. Which is the smallest value? (a) 3 (b) -2/11 (c) n (d) v c Suppose 0 = c + c - 26. Suppose -4*z - c = -2*n - 3, -5*z + 5*n = 25. What is the second biggest value in z, -3, -1? -1 Suppose -4*w + 20 = w. Let n be 120/198 + 2/(-3). Let f = 0.873 - 0.773. Which is the second biggest value? (a) f (b) w (c) n a Let o be (2/(-6))/(40/(-96)). Let h be 1/(-5)*1/1. What is the biggest value in -0.01, h, o? o Suppose 0 = -334*q + 335*q + 5. Let n = -4 + 3.6. Which is the third smallest value? (a) -4 (b) q (c) n c Let r = -388 - -389. Let x = -0.45 + -0.05. Which is the biggest value? (a) r (b) 0.4 (c) x a Let y = 2.9423 - -0.0577. Let i = -13 - -12.4. Which is the smallest value? (a) -0.1 (b) i (c) y b Let z = -13.9 - -2.9. Let s = z - -10.3. Let t = 0.2 + s. Which is the third biggest value? (a) -2 (b) -1/5 (c) t a Let u = 40 + -34. Suppose 10*m + u = 4*m. Which is the third biggest value? (a) 6 (b) -2/9 (c) m c Let w = -2 - -2.04. Let o = w + 9.96. Let p = o + -6. What is the third biggest value in p, -3, -2/11? -3 Let n = 5.08 + -5.4. Let h = 0.3 + n. Which is the second smallest value? (a) -3/7 (b) -0.5 (c) -1 (d) h b Let u = 566 + -570. What is the third smallest value in u, -76, 3/7, 1? 3/7 Let r be (-4)/(-5)*5/(-3). Let y be 6/16*(-110)/(-15). Which is the smallest value? (a) y (b) 0.5 (c) 1 (d) r d Let a = 6697/11 - 609. What is the second smallest value in 2, a, 0.52? 0.52 Let g = 1.5 + -1.9. What is the second smallest value in -4/9, -2, g, 0.05? -4/9 Let t = 1839 - 1838. Which is the second biggest value? (a) -0.8 (b) t (c) -3 a Let q = -49 + 49.1. What is the second biggest value in -64, -0.5, q? -0.5 Let n = -2049 + 2043. Which is the second biggest value? (a) -1 (b) n (c) 21 (d) 0.5 d Let h = -2759 + 5521/2. What is the biggest value in -25/3, h, 0.04, -3/4? h Let q be (-209)/(-484) + (-4 - (-45)/12). Let l = 16874/37 + -456. What is the third biggest value in -4, -5, q, l? -4 Let i = -2.3 - -7.3. Let n = 202 + -201. What is the second smallest value in i, -0.3, n, 4? n Let r = 1455 + -1444. What is the biggest value in 0.2, r, -1.2? r Let t = -4663/15 - -311. What is the smallest value in t, -0.1, 0.5, 0.1? -0.1 Let o = -11.6 + -68.4. Let l = 80.3 + o. What is the second biggest value in l, -1, 1? l Let f = -0.51 + -0.39. Let w = 0.6 + f. Let k = 18/7 - 83/35. What is the smallest value in 2/5, w, k? w Let u be (-2)/(-10) + (-36)/30. Let m be 36/(-54)*((-4)/2 + u). Which is the third smallest value? (a) -4 (b) 5 (c) m b Let o = 0.103 - -41.897. Let q = o + -42. What is the fourth biggest value in -0.2, q, 0.1, 2? -0.2 Let a = -15/11 + 56/33. Let u be (-2)/(1/(0 - -4)). Let k be ((-4)/8)/(-1)*u. What is the second smallest value in -5, a, k? k Let r = 2.602 - -0.398. Which is the biggest value? (a) 2/9 (b) -15 (c) r (d) -2 c Let w = 427 - 1709/4. Let q = 0.19 + 0.21. Which is the biggest value? (a) -2 (b) w (c) 3/10 (d) q d Let l be -1*(-24)/(-10) + 19 + -17. Let n = 1.17 + -0.76. Let t = n + -0.01. What is the second biggest value in -4, t, l? l Let g be 3008/30 + (-5)/(-15). Let p = g + -101. What is the third biggest value in p, 3, -1/8? p Suppose -3*g + 9 = -h, -5*g + 5*h + 7 = -8. Let n = 850 + -855. Which is the smallest value? (a) -1/4 (b) g (c) n (d) 0.09 c Let r = 1.349 + -4.449. What is the third biggest value in -3, 1, -1/6, r? -3 Let m = -3 - -2. Let x = -4 - -5. Let p = 0.94 - 0.96. Which is the biggest value? (a) p (b) x (c) m b Let l = -37/3 - -12. Let r = 2.72 - 2.22. What is the second smallest value in r, 0.1, l, 19? 0.1 Let s be 145/25 + (-1)/(-5). Let a be s/(-1572)*8/10. Let i = a + 526/655. What is the third smallest value in i, 0.4, -0.5? i Let l be ((-1020)/55)/3 + 6. Which is the second smallest value? (a) -2/9 (b) -0.4 (c) -24 (d) l b Let s = 0.2 - -0.6. Let y = 1.8 - s. Let z = 8.7 + -9. Which is the third smallest value? (a) y (b) -4 (c) z a Let x = 0.1529 - 0.0529. Let o = 0.1 + -0.2. What is the fourth biggest value in x, -2/9, -0.5, o? -0.5 Let r = -7.99 - -8. Suppose 0 = -5*q - 5*o - 5, 3*q = -0*q - 4*o. What is the second smallest value in r, q, -1/3? -1/3 Let o = 146.2 - 146.22. Which is the fourth smallest value? (a) 72 (b) o (c) 3/7 (d) 1 a Let p = 0.81 - 60.81. Let h = -60 - p. Which is the second smallest value? (a) 0.2 (b) h (c) 2/7 (d) -0.2 b Suppose -3*h + 12 = 3*x, -7*x + 4 = -4*x + h. Suppose 4*l - 4 = -0*l. Which is the third smallest value? (a) 1/2 (b) -5 (c) x (d) l a Let q = -23/5 + 284/65. Let n = -3076 + 3080. Let f = 496/1215 + -2/243. What is the biggest value in f, n, q? n Let g be (68/612)/((-2)/12). Which is the biggest value? (a) 1 (b) g (c) -5 (d) 5/3 d Let k = 98 + -102. Which is the third biggest value? (a) -1 (b) k (c) 10 (d) 2 a Let g be ((-6)/(-189))/(2/6). Let v = -1592 + 1593. What is the third smallest value in 2/3, v, 2, g? v Let s = -19.977 - 0.023. Let v = -701 - -710. Let y = s + v. What is the smallest value in -0.4, 0.1, y? y Let u = -4.75 - -6.75. Which is the smallest value? (a) -0.1 (b) -2/11 (c) -2/5 (d) u c Let w = -557 - -556.6. What is the third smallest value in -0.1, w, 0.09? 0.09 Let s be (-2)/(-5)*30/32. Suppose -20 = 4*x, -3*l = -6*l - 2*x + 2. What is the smallest value in l, s, -5? -5 Let h = 1242 - 1241.7. Let g = 0 + -0.4. Which is the third smallest value? (a) h (b) 2/3 (c) g b Let d = 22.3 + -20. Let j = 2.3 + -3. Let f = d - j. What is the smallest value in 0.5, -2, f? -2 Let f = -900 - -899.6. Which is the biggest value? (a) -0.14 (b) f (c) -0.2 a Let l = -88/17 - -1286/255. What is the biggest value in -4, -2, l? l Let r = 5 + -2. Suppose -r*x = x. Let z = -3.67 + 3.77. Which is the second smallest value? (a) z (b) -4 (c) x c Suppose -3*g + 2*i - 449 = 0, 218 + 542 = -5*g + i. What is the third smallest value in -2/9, g, -2/5? -2/9 Let o = -176 - -35. Let q = 145 + o. Which is the third smallest value? (a) -2/13 (b) q (c) -5/7 b Let z = 5 - 8. Let f = 0 + z. Let v = -7 + 12. What is the third biggest value in f, 1/6, v? f Let k = 738.1 - 735. Which is the smallest value? (a) 4 (b) 0.2 (c) k b Let f be 63/(-9)*(-2)/7. Suppose -h - 4*h = -f*d - 155, -2*h - 5*d + 33 = 0. Let u = h - 59/2. Which is the second biggest value? (a) -1 (b) u (c) -2/17 b Let j = 0 + -2. Let s be (-6)/8 - 2 - -2. Let y = 0.42 + 2.58. What is the third smallest value in s, j, y? y Let p = 1313 - 1317. Which is the fourth biggest value? (a) 0.5 (b) p (c) -13 (d) -6 c Let h = 5.361 + -0.061. Let u = h + -6. Let q = u - -3.7. Which is the smallest value? (a) -0.2 (b) -2/5 (c) q b Let f = -2387 - -2392. Let o = -153/91 + 20/13. Which is the second smallest value? (a) 1/2 (b) o
{ "pile_set_name": "DM Mathematics" }
9041 -89041.2 What is -4.6 minus -0.03977? -4.56023 What is the distance between 0.1086759 and 0.02? 0.0886759 What is 4 - 163? -159 Subtract 2029 from 0.4. -2028.6 Subtract 8 from 0.051. -7.949 Calculate -408 - -0.9. -407.1 -515+5 -510 Calculate -12380 + -2. -12382 Work out 37655.3 - -4. 37659.3 Sum -35 and -0.39592. -35.39592 55+1.16 56.16 What is 0.2 take away -267? 267.2 Put together -0.023942 and -0.5. -0.523942 Put together -3172 and -2. -3174 Work out -0.220781 + 1. 0.779219 -76 + -9204 -9280 31810 - -59 31869 -0.2381 - 0.22 -0.4581 What is the difference between 0.2 and -661? 661.2 20.8+-2 18.8 Subtract 0.38 from 1.8839. 1.5039 What is the distance between -0.496729 and 0.08? 0.576729 Add together -2 and 197.5. 195.5 22.5+0 22.5 What is the difference between 15.13 and -0.2? 15.33 -188 - -0.0307 -187.9693 Total of 103646 and 0.4. 103646.4 Subtract 15 from -3250. -3265 Subtract -51 from -2138.2. -2087.2 What is 0 take away 0.125? -0.125 Work out 22 + -218131. -218109 Put together 79029 and -0.5. 79028.5 -35.5+270 234.5 Calculate -33 - -0.313. -32.687 What is -0.0545623 plus 0.6? 0.5454377 What is the distance between -0.4 and 1252.28? 1252.68 Calculate -0.4 + -968. -968.4 Work out -12.789 - 5. -17.789 Work out -0.06281 - 1. -1.06281 What is 1641 less than -0.14? -1641.14 What is -0.1247 + -3.7? -3.8247 What is 0.2874 less than 0.09? -0.1974 Calculate -0.008 + 0.23. 0.222 Add 1.0561 and -56. -54.9439 Work out 0.2 + -26382.4. -26382.2 Work out -8 - 15. -23 561+6.1 567.1 Calculate -62 + 17052. 16990 Work out 0.047 - 1.79. -1.743 Calculate -39 - -3287. 3248 Total of 1188 and 1. 1189 Work out -54 - -0.3. -53.7 Sum -0.1 and -693436. -693436.1 What is -1056 less than 0.09? 1056.09 Calculate 0.3 + 0.2697. 0.5697 Work out 3.43 - 7232. -7228.57 Work out -3 - 311.245. -314.245 Work out 4 - 42.8. -38.8 Subtract 5 from 1.806. -3.194 3 - 2361.86 -2358.86 What is 6010 - -0.1475? 6010.1475 What is -0.312 less than -976? -975.688 Sum 2 and 11687. 11689 What is -1 + -34803? -34804 0.5 - -98327 98327.5 What is -104 less than 41? 145 What is -4 take away 168.553? -172.553 What is -2492 plus 0.3? -2491.7 Total of -13.4742 and 38. 24.5258 What is the difference between -717 and 0? 717 What is 8 + -5.1? 2.9 Put together -99.58 and 1. -98.58 Total of -3 and 702.3. 699.3 Calculate 0.01436 - 0.124. -0.10964 Put together -30 and 1397. 1367 Work out -14642 - 16. -14658 Sum 811 and -707. 104 Subtract 15.7 from -0.7791. -16.4791 -728 + -2 -730 What is 2.11904 - 0.3? 1.81904 Put together 0.1451 and -1. -0.8549 -2168+33 -2135 What is the distance between -7 and 49199? 49206 What is -0.021 less than 90? 90.021 Work out -140 + 0. -140 What is -0.008 - 12581? -12581.008 Calculate -222.138 - -0.2. -221.938 What is -3 + -0.4523? -3.4523 What is -0.67 - -3442? 3441.33 Add together 175 and 0.0723. 175.0723 Add together -0.08 and -326. -326.08 Add -328 and 0. -328 Total of 8799 and -0.1. 8798.9 What is 0.05 less than -1009? -1009.05 What is the distance between 149 and 176? 27 What is -65 plus -213? -278 What is -0.5 less than 4.3? 4.8 Work out -5 + -2.47. -7.47 What is 299 + 0.031? 299.031 What is 137.4 + -0.015? 137.385 Calculate 46 - 0.068. 45.932 What is -238928 - -0.1? -238927.9 Add -5.2539 and -0.1. -5.3539 Work out -41286.3 - -0.4. -41285.9 What is -0.2 take away 3389? -3389.2 Calculate -138 - -329. 191 Calculate 1786 - -18. 1804 Total of -0.02 and 1.64182. 1.62182 -57 - -51 -6 What is -1.0765 minus 0.28? -1.3565 What is 12 - -0.0182? 12.0182 1.1438 - 0.3 0.8438 -2+92994 92992 Calculate 4686 - 0.3. 4685.7 What is -9442.8 + -0.04? -9442.84 Add 0.5 and -19.777. -19.277 Calculate -15 - 1.131. -16.131 Calculate 189 - 289. -100 Sum 7236901 and 1. 7236902 What is 3 minus 36289? -36286 What is 617 + 5? 622 Work out -2 - -0.566779. -1.433221 Add together 752 and -1.7. 750.3 Put together 0.0166 and -135. -134.9834 Work out 0.15 - 238. -237.85 Sum -3.71 and 57. 53.29 What is 0.07 + -68.2? -68.13 Total of -23 and 35. 12 What is 0.7 - 1469? -1468.3 Work out -736641 - -0.02. -736640.98 Calculate 12.4 + -0.23. 12.17 Calculate 7216 + -0.43. 7215.57 Calculate 75.76 + -53. 22.76 Add 224 and -24. 200 What is -36 take away 207? -243 Calculate -0.3 + 8623. 8622.7 Add together -818253 and -2. -818255 Calculate 0.012 - 18. -17.988 Work out -2659959 - -0.1. -2659958.9 What is 122 take away -2406? 2528 Calculate 2.1 - -0.03563. 2.13563 Subtract 2 from 0.01631. -1.98369 Calculate -0.04 - 55.641. -55.681 1.7+-12029 -12027.3 What is -7600 + -390? -7990 What is 0.276 plus -0.2? 0.076 What is the difference between 17587.18 and 0.3? 17586.88 What is 13.3 plus -54? -40.7 Calculate -0.064561 - -5. 4.935439 What is -11690 - 0? -11690 13705 + 0.4 13705.4 What is 11.88 + -0.13? 11.75 Add together 1.5 and 1790.2. 1791.7 What is the difference between -1584.22 and -2? 1582.22 What is -4308 take away 6? -4314 What is -9.211 minus -3? -6.211 Add -10 and -25714. -25724 Work out -526 - -1.342. -524.658 Put together -12391 and -5. -12396 What is -0.02 take away 0.064? -0.084 Calculate -203523 - 0. -203523 Calculate 1 + -4441. -4440 -4 - 5981 -5985 Put together -2.5775 and -0.4. -2.9775 What is -2961 take away -0.5? -2960.5 Work out 0.3 + 23624. 23624.3 0.0413 + 0.4 0.4413 Add -2696 and -0.01. -2696.01 What is 9 take away 117.61? -108.61 What is 1462 + 0.5? 1462.5 6.1 - 9 -2.9 What is -0.48 less than -67? -66.52 0.07 + 7027 7027.07 Sum 35.93 and -23. 12.93 What is 15922 less than 0.1? -15921.9 0.1 + -10338 -10337.9 What is -6 - 209614? -209620 Work out 458 - -39.105. 497.105 Add 1 and -0.162. 0.838 Work out -0.06995 - 7. -7.06995 What is 1.4 minus -2392.2? 2393.6 Add 8062 and 0.13. 8062.13 Work out -0.1333 + -5.4. -5.5333 Calculate -0.033 + -0.3. -0.333 Calculate -0.2 + -103. -103.2 Total of 72.3 and -2.1. 70.2 What is -0.9 take away -10.052? 9.152 What is -1118 - -0.04? -1117.96 What is -0.11 + -2659? -2659.11 20250 + -3 20247 Add -0.0564 and -330. -330.0564 Sum 2059 and -240. 1819 -0.3 - 1200 -1200.3 Sum 4855 and -87. 4768 Calculate -9085.3 - 0. -9085.3 Total of -73.1 and 0.077. -73.023 -227.4+0.0006 -227.3994 Work out 4.2041 + -1.8. 2.4041 What is -0.1 less than 4.08? 4.18 Add -20 and -294. -314 What is 0.6 less than -43446? -43446.6 Subtract -45 from -450. -405 Add together 5.699 and 0.02. 5.719 -224.1 - 2 -226.1 Sum -396811 and 0.1. -396810.9 Put together -2.411 and -0.18. -2.591 What is -56 plus 51279? 51223 What is -0.002 less than 10? 10.002 Calculate 949.1 - 2. 947.1 What is 0.5126 plus 1.4? 1.9126 4815+-4 4811 What is the difference between 4.44 and 1.1? 3.34 Total of 0.68 and -0.04. 0.64 Sum 5224 and 4. 5228 Add together 22 and -4093. -4071 What is 1.38 - -3? 4.38 0.05431 + -2.84 -2.78569 What is the distance between -484 and 39.02? 523.02 What is 5 + -0.158872? 4.841128 What is the distance between 1982 and 542? 1440 Subtract 0.1824589 from 0. -0.1824589 What is -1402 + 0.2? -1401.8 Calculate -5 + -96. -101 What is the distance between 8.622 and -3? 11.622 0.3 - 226 -225.7 Calculate 11033 + 0.25. 11033.25 Work out 35 - 1276. -1241 Work out 1.563 - -5. 6.563 Calculate -3 + -1.20919. -4.20919 What is the difference between -0.06 and 59588? 59588.06 What is the distance between 102 and 1? 101 Add -255.09 and 70. -185.09 Put together 7.71 and 0.14. 7.85 What is 2 minus 0.08066? 1.91934 Add -4 and -5232. -5236 What is -2 minus 1128? -1130 What is 32845 plus -0.1? 32844.9 -266466 + 4.5 -266461.5 What is 6.4 plus 332? 338.4 Work out -0.3 + 777018. 777017.7 Work out -0.6 + 80954. 80953.4 Total of -2.31 and -34. -36.31 Calculate -12630 - 4. -12634 Total of 37689 and -6. 37683 Work out 202037 - -0.5. 202037.5 What is the distance between -176690 and 0.069? 176690.069 What is 1 less than -9564? -9565 Total of -100.63 and 104. 3.37 Sum 3.4 and 0.52. 3.92 Add together -0.3 and 1.68398. 1.38398 0.34 - 9950 -9949.66 -79+-43 -122 What is 0.00284 plus 0.23? 0.23284 Put together 0.048 and 1885.2. 1885.248 What is -0.96 + -2204? -2204.96 What is 0.05 + -0.298402? -0.248402 What is -100.73145 minus 0.3? -101.03145 What is 716 take away -7024? 7740 What is 0.0925 plus -9? -8.9075 What is 0.311 + -0.4? -0.089 What is -111 + 0.91? -110.09 Add 174083 and 20. 174103 Add together -0.2 and 317376. 317375.8 What is the d
{ "pile_set_name": "DM Mathematics" }
*3 - 4*s + o*s + 11 wrt s? 3*s**2 Find the second derivative of -6*w + 88*w**2 - 260*w**2 - 430*w**2 + 5 + 14 wrt w. -1204 What is the first derivative of -116*i - 48*i + 25*i - 1 - 14*i + 55 wrt i? -153 Let y(o) = -o**2 - 6*o + 29. Let d be y(-9). What is the first derivative of 17 + 9*k**2 - d + 7 + 9*k**2 wrt k? 36*k Let i(a) = -203*a**3 - 6*a**2 + 2*a + 232. Let c(b) = 204*b**3 + 8*b**2 - 3*b - 233. Let f(o) = -2*c(o) - 3*i(o). What is the third derivative of f(l) wrt l? 1206 Let u(y) = -5*y - 3. Let p be u(-1). Differentiate -17 + 12 + p*b + 2*b with respect to b. 4 Suppose 4*y + 9880 = 2*o - 5*o, 0 = 2*o + 4*y + 6592. Let i be o/(-32) + 1/4. What is the third derivative of -100*c**4 - 3*c**2 - 3*c**2 + i*c**4 wrt c? 72*c Let x(r) be the second derivative of 7*r**6/24 + 11*r**3/3 + 9*r**2/2 + 45*r. Let v(u) be the first derivative of x(u). What is the derivative of v(j) wrt j? 105*j**2 Let m(b) = -523*b + 604. Let k(g) = -261*g + 298. Let w(j) = 5*k(j) - 2*m(j). What is the derivative of w(x) wrt x? -259 Find the second derivative of 145*k + 129*k - 12*k**2 - 477*k - 47*k**2 + 122*k wrt k. -118 Let f(b) be the first derivative of 22*b**4 + 38*b**3/3 + b + 81. What is the third derivative of f(i) wrt i? 528 Differentiate 4*a + 1355*a**2 - 259 + 1248*a**2 - 2476*a**2 - a - a with respect to a. 254*a + 2 Let d(v) be the second derivative of -v**6/2 - v**5/5 + 31*v**2 - v - 28. What is the derivative of d(z) wrt z? -60*z**3 - 12*z**2 Let i(y) be the second derivative of -y**6/45 + 7*y**4/8 - 5*y**3/6 + 20*y. Let h(t) be the second derivative of i(t). What is the derivative of h(p) wrt p? -16*p Find the third derivative of -129*b**3 + 33*b**3 - 34*b + 14*b + 20*b - 277*b**2 wrt b. -576 What is the second derivative of -z**2 + z**2 + 11*z + 832*z**3 + 6 + 3*z**4 - 829*z**3 wrt z? 36*z**2 + 18*z Suppose 29*n = -9*n. Let u(q) be the first derivative of 3 + 0*q**3 + n*q**2 + 5/4*q**4 - 4*q. What is the derivative of u(z) wrt z? 15*z**2 Let x be (-4)/14 - (-4760)/196. What is the derivative of -3*z - 19 - 3*z - x wrt z? -6 Let l(u) be the second derivative of -23*u**6/15 - 30*u**2 - 3*u + 10. What is the derivative of l(c) wrt c? -184*c**3 Let q(p) be the first derivative of -13*p**5/20 - 7*p**3/3 - 5*p - 13. Let h(b) be the first derivative of q(b). What is the second derivative of h(f) wrt f? -78*f Differentiate 62 + j**3 + 27*j**3 - 7*j**3 - 10*j**3 + 3*j**2 with respect to j. 33*j**2 + 6*j Suppose 19 = 3*c - 2. Differentiate 3 - 4 - 9*w - c + 0 with respect to w. -9 Let i(m) be the first derivative of 4*m**5/5 + 11*m**3/6 + 16*m - 7. Let v(r) be the first derivative of i(r). What is the second derivative of v(h) wrt h? 96*h What is the second derivative of 49*g - 470*g - 58*g**2 - 39*g wrt g? -116 Find the second derivative of 266*d**2 + 107*d**2 - 17 - 354*d - 357*d + 728*d wrt d. 746 Let d(z) be the first derivative of -z**7/3 + 8*z**3/3 - 24*z - 19. Let n(p) be the first derivative of d(p). Find the second derivative of n(h) wrt h. -280*h**3 Let m = 23 + -21. Suppose 3*o - 22 = m. What is the second derivative of -9*a**4 + o*a - a - 5*a**4 wrt a? -168*a**2 Let w(y) be the first derivative of -102*y**2 + 0 + 104*y**2 + 13 + y**3. What is the second derivative of w(p) wrt p? 6 Find the second derivative of 26*v + 20*v**5 - 1 - 75*v + 1 wrt v. 400*v**3 Let c be (-1)/2*12/(-3). Suppose 0*o - 12 = -3*o. What is the second derivative of -3*u**4 + 7*u - c*u + 2*u**o wrt u? -12*u**2 Let p be -2*(-2 - 4/(-8)). What is the derivative of -1 + 9*b + 1 + 5 + p wrt b? 9 Let q(y) = y**3 + 46*y**2 - 447*y - 3. Let a(d) = -d**3 - 48*d**2 + 448*d + 2. Let h(x) = 3*a(x) + 2*q(x). What is the second derivative of h(k) wrt k? -6*k - 104 What is the third derivative of 54*x**2 + 24*x**3 + 31*x**3 - 169*x**2 wrt x? 330 Let l(b) = -15*b - 21. Let o(z) = 8*z + 10. Let j(u) = -2*l(u) - 5*o(u). Let v be j(-6). What is the second derivative of 27*f**5 + 26*f**5 - v*f**5 + f wrt f? 20*f**3 Let z(k) be the second derivative of -k**6/30 + 4*k**5/5 + 13*k**4/12 + k**3/6 - 63*k + 2. What is the third derivative of z(w) wrt w? -24*w + 96 Let f(q) = q**2 - q + 8. Let u be 5 + -3 + (0 - 2). Let n be f(u). What is the third derivative of -v**2 - 27*v**3 + 27*v**3 - 2*v**6 + n*v**6 wrt v? 720*v**3 Let g(f) be the second derivative of -f**7/21 - 31*f**6/6 + 13*f**3/3 + f**2 - 421*f. Find the second derivative of g(l) wrt l. -40*l**3 - 1860*l**2 Suppose 5*f - 18 = 4*f. Let s be 6*(f/4 - 4). What is the third derivative of 0*r**s - 10 + 10 - 4*r**3 + 4*r**2 wrt r? -24 Let n be -1 + 1 - (-17 - -10). Suppose n = 3*u - 392. What is the first derivative of 0 - 143*m**2 + 2 + u*m**2 wrt m? -20*m Let q = 8 + -6. Find the second derivative of -4*u - 9*u - q*u - 34*u**5 wrt u. -680*u**3 Suppose -u + 1 = -1. Suppose 0 = -2*t - 2 + 6. Find the first derivative of -74*h**3 + h**u + 71*h**3 - 9 - h**t wrt h. -9*h**2 What is the second derivative of 12*s**3 + 2*s**4 + 5 + 21*s + 4 - 13 - 8*s**4 wrt s? -72*s**2 + 72*s Let j(w) = w + 2. Let h(t) = 29*t + 11. Let k(a) = -2*a. Let m(c) = h(c) - 3*k(c). Let y(f) = 22*j(f) - 2*m(f). Differentiate y(b) with respect to b. -48 Let g(w) be the first derivative of 2*w**5/5 + 55*w**4/2 + 409*w + 31. Find the first derivative of g(o) wrt o. 8*o**3 + 330*o**2 Let d(g) = g**3 + 14*g**2 - g - 8. Let y be d(-14). What is the third derivative of -9*l**2 - 5*l**y - 38*l**5 + 21*l**6 + 38*l**5 wrt l? 1920*l**3 Let r(a) be the third derivative of 0*a**5 + 0 + 0*a + 0*a**6 + 0*a**3 + 10*a**2 - 11/210*a**7 + 1/3*a**4. What is the second derivative of r(k) wrt k? -132*k**2 Suppose 0 = -5*c + 8 - 3, 0 = -4*p + 2*c - 2. Let m be 1 - (-1)/(2 - 1). What is the second derivative of p*f + 4*f**m + 2*f**2 - 5*f wrt f? 12 What is the third derivative of 366*w**6 - 130*w**2 - 28*w**2 - 1 - 695*w**6 wrt w? -39480*w**3 Let y(k) be the first derivative of -23*k**4/2 + 87*k**2/2 + 88. What is the second derivative of y(g) wrt g? -276*g Suppose 11 = f - 5*w - 6, 0 = -f + 3*w + 11. Let k = 164 - 159. What is the second derivative of -78*a**f + a + 78*a**2 - 4*a**k wrt a? -80*a**3 Let d(x) = -2*x + 2. Let n be d(-4). What is the first derivative of 60 - 59 + n*c**4 + 8*c**4 wrt c? 72*c**3 Let l(d) be the first derivative of 0*d**6 + 0*d**4 + 16/3*d**3 + 0*d**2 + 0*d**5 + 34/7*d**7 + 0*d - 26. Find the third derivative of l(v) wrt v. 4080*v**3 Let o(v) = v**3 + 7*v**2 + 7*v + 10. Let b be o(-6). What is the second derivative of -21*h + 13*h - h**4 - 17*h**b wrt h? -216*h**2 Differentiate 1887 - 2008 + 205*w**3 + 205*w**3 wrt w. 1230*w**2 Let g(n) be the first derivative of -287*n**5/5 - 296*n - 211. Find the first derivative of g(d) wrt d. -1148*d**3 Let c(h) = 338*h**4 - 14*h**3 + 66*h + 28. Let r(k) = 113*k**4 - 5*k**3 + 22*k + 10. Let q(o) = -4*c(o) + 11*r(o). What is the second derivative of q(a) wrt a? -1308*a**2 + 6*a Let o(u) = 10*u**3 + 4*u**2 - u + 4. Let l(z) = z**2 + 1. Suppose 11 = 9*i + 47. Let w(v) = i*l(v) + o(v). What is the second derivative of w(j) wrt j? 60*j Suppose -2*u = -6*u - 8. Let v(k) = 3*k**3 + 15*k**2 - 15*k - 12. Let c(g) = g**2 - g - 1. Let t(p) = u*v(p) + 30*c(p). Find the first derivative of t(x) wrt x. -18*x**2 Find the first derivative of 27 - 2 + 7 - 131*g + 16*g wrt g. -115 Let m(j) = -j**2 + 8*j - 12. Let a be m(5). Let u = 5 - a. What is the third derivative of -9*r**2 + r**6 + 2*r**u + 6*r**6 wrt r? 840*r**3 Let h(j) = -53*j**3 + 5*j**2 + 94. Let k(b) = 4*b**2 - 1283*b**3 + 1309*b**3 - 47 - 6*b**2. Let r(t) = -2*h(t) - 5*k(t). What is the derivative of r(g) wrt g? -72*g**2 Let o(m) be the first derivative of -55*m**2/2 + 72*m - 13. What is the first derivative of o(r) wrt r? -55 Suppose 5*a - 10 = 3*x, 2*x - 4*x = 0. What is the second derivative of -75*j**2 - 42*j**3 + 13*j + 75*j**a wrt j? -252*j Let c(u) = u**3 + 8*u**2 - 2*u - 14. Let q be c(-8). Suppose -q*y = 4*y - 30. Find the third derivative of -2*r**3 - 2*r**3 - 13*r**y - 8*r**2 + 4*r**3 wrt r. -780*r**2 Let g = -440 - -449. Let p(m) be the first derivative of 0*m**3 + 1/2*m**4 + 0*m**2 - 4*m - g. Find the first derivative of p(u) wrt u. 6*u**2 Suppose 0 = z + 14 + 6. Let m = -3 - z. What is the second derivative of 12*d**3 - m*d - 5*d**3 + 11*d wrt d? 42*d Let f(m) be the first d
{ "pile_set_name": "DM Mathematics" }
/7 = 0? -1, 1493 What is n in -5*n**3 - 1130*n**2 + 1135*n = 0? -227, 0, 1 Suppose 4*z**2 - 1400*z/3 - 156 = 0. Calculate z. -1/3, 117 Factor 4*j**2 + 224*j. 4*j*(j + 56) Factor -2*x**2 - 4124*x - 4122. -2*(x + 1)*(x + 2061) Let 3*g**2/5 + 132*g/5 + 1452/5 = 0. What is g? -22 Solve j**2 - 78*j + 152 = 0. 2, 76 What is m in -29791*m**3 + 95139*m**2 - 101277*m + 35937 = 0? 33/31 Factor -3*n**4/7 - 9*n**3/7 - 9*n**2/7 - 3*n/7. -3*n*(n + 1)**3/7 Suppose -6*q**2 + 69*q + 36 = 0. What is q? -1/2, 12 Factor -3*p**3 + 1353*p**2 - 151872*p - 153228. -3*(p - 226)**2*(p + 1) Factor 2*s**2 - 18*s + 28. 2*(s - 7)*(s - 2) Let -n**4/2 - 10*n**3 + 72*n**2 - 152*n + 104 = 0. Calculate n. -26, 2 Factor -p**4/3 + 2*p**3 - 11*p**2/3 + 2*p. -p*(p - 3)*(p - 2)*(p - 1)/3 Factor -2*o**3/7 - 282*o**2/7 - 13254*o/7 - 207646/7. -2*(o + 47)**3/7 Find m such that -2*m**3/9 - 238*m**2/9 - 2320*m/3 + 800 = 0. -60, 1 Factor -3*v**4 - 12*v**3 - 15*v**2 - 6*v. -3*v*(v + 1)**2*(v + 2) Suppose 5*l**4 + 50*l**3 - 5*l**2 - 50*l = 0. Calculate l. -10, -1, 0, 1 Solve 5*w**4 - 5*w**3 - 10*w**2 = 0 for w. -1, 0, 2 Find l such that l**3/8 + 57*l**2/8 + 49*l = 0. -49, -8, 0 Factor 139*b**2/9 + 137*b/9 - 2/9. (b + 1)*(139*b - 2)/9 Factor -x**2/9 + 118*x/9 + 80/3. -(x - 120)*(x + 2)/9 Factor t**5/6 + t**4/6 - t**3/2 - 5*t**2/6 - t/3. t*(t - 2)*(t + 1)**3/6 Factor 5*r**3 + 8590*r**2 + 3689405*r. 5*r*(r + 859)**2 Factor -n**4 - 2*n**3 + 24*n**2. -n**2*(n - 4)*(n + 6) Find n such that -n**2 + 87*n - 86 = 0. 1, 86 Factor 5*m**3/2 + 6185*m**2/2 - 12400*m + 12410. 5*(m - 2)**2*(m + 1241)/2 Factor -n**2/2 + 35*n/2 + 78. -(n - 39)*(n + 4)/2 Find u, given that 3*u**2 - 306*u + 600 = 0. 2, 100 Factor 35*h**2/2 - 52245*h/2 - 7465. 5*(h - 1493)*(7*h + 2)/2 Let -3*i**4/2 - 9*i**3/2 - 9*i**2/2 - 3*i/2 = 0. Calculate i. -1, 0 Find u such that 2*u**4/9 + 2*u**3/9 - 8*u**2/9 - 8*u/9 = 0. -2, -1, 0, 2 Find v, given that 3*v**5 - 18*v**4 - 30*v**3 + 60*v**2 + 27*v - 42 = 0. -2, -1, 1, 7 Factor 54*r**3 + 2809*r**2 + 36556*r + 676. (r + 26)**2*(54*r + 1) Factor o**3/2 - 339*o**2/4 - 85*o/2. o*(o - 170)*(2*o + 1)/4 Factor 1236492*b**2 + 3852*b + 3. 3*(642*b + 1)**2 Factor -j**3/5 + 2*j**2/5 + 13*j/5 + 2. -(j - 5)*(j + 1)*(j + 2)/5 Suppose -2*l**3 + 4*l**2 + 2*l - 4 = 0. Calculate l. -1, 1, 2 Solve -36*u**3 + 84*u**2 - 64*u + 16 = 0 for u. 2/3, 1 Factor 4*o**3 + 40*o**2 + 48*o - 288. 4*(o - 2)*(o + 6)**2 Factor 10*l**3 + 176*l**2/3 + 82*l - 12. 2*(l + 3)**2*(15*l - 2)/3 Factor -w**3/4 + w**2/2 + w - 2. -(w - 2)**2*(w + 2)/4 Solve -3*h**3 + 11*h**2/3 + 52*h/3 - 4 = 0. -2, 2/9, 3 Determine v, given that -3*v**5 - 30*v**4 - 45*v**3 + 30*v**2 + 48*v = 0. -8, -2, -1, 0, 1 Let o**4/4 - 3*o**3/2 + 3*o**2/4 + 5*o/2 = 0. Calculate o. -1, 0, 2, 5 Factor -2075*a**2 - 9910*a + 240. -5*(5*a + 24)*(83*a - 2) Suppose 12*d**4/11 - 86*d**3/11 + 228*d**2/11 - 24*d + 112/11 = 0. What is d? 7/6, 2 Factor -a**4 + 19*a**3 + a**2 - 871*a - 2028. -(a - 13)**2*(a + 3)*(a + 4) Factor z**3/2 + 3*z**2 - 15*z/2 + 4. (z - 1)**2*(z + 8)/2 Factor 2*f**3 + 250*f**2 + 3616*f + 13952. 2*(f + 8)**2*(f + 109) Suppose 7*b**5/4 + 275*b**4/4 + 2703*b**3/4 + 5209*b**2/4 + 1687*b/2 + 150 = 0. What is b? -25, -12, -1, -2/7 Find s such that -405*s**4 + 2340*s**3 - 2975*s**2 - 2340*s + 3380 = 0. -1, 1, 26/9 Determine v so that 2*v**2/15 + 12*v/5 + 34/15 = 0. -17, -1 Factor w**5 - 29*w**4 + 190*w**3 + 378*w**2 - 1215*w + 675. (w - 15)**2*(w - 1)**2*(w + 3) Let 4*n**2 + 344*n - 348 = 0. What is n? -87, 1 Determine s so that -2*s**3/3 + 4*s**2 - 6*s = 0. 0, 3 Determine n, given that -n**3 + 14*n**2 - 57*n + 72 = 0. 3, 8 Factor -4*i**2/5 - 24*i/5 - 4. -4*(i + 1)*(i + 5)/5 Determine u so that 4*u**2/9 - 944*u/3 + 55696 = 0. 354 Let 2*g**4/13 + 92*g**3/13 + 746*g**2/13 - 552*g + 936 = 0. Calculate g. -26, 3 Suppose -3*g**5 + 42*g**4 - 192*g**3 + 354*g**2 - 285*g + 84 = 0. Calculate g. 1, 4, 7 Factor 85*d**4 - 240*d**3 + 210*d**2 - 40*d - 15. 5*(d - 1)**3*(17*d + 3) Factor 5*x**2/2 + 1355*x + 367205/2. 5*(x + 271)**2/2 Suppose -m**3 - 456*m**2 - 909*m - 454 = 0. What is m? -454, -1 Factor 2*z**3/7 + 116*z**2/7 - 118*z/7. 2*z*(z - 1)*(z + 59)/7 Find g such that -g**2/5 + 9*g/5 - 8/5 = 0. 1, 8 Find i, given that -5*i**3 + 15*i**2 + 20*i = 0. -1, 0, 4 Determine l so that l**4 + 11*l**3 + 20*l**2 - 32*l = 0. -8, -4, 0, 1 Factor -4*c**3/7 - 11076*c**2/7. -4*c**2*(c + 2769)/7 Suppose 3*j**2/7 - 3*j + 30/7 = 0. Calculate j. 2, 5 Factor 2*b**2/7 - 46*b/7 + 44/7. 2*(b - 22)*(b - 1)/7 Factor -z**3/5 + 52*z**2/5 + 107*z/5 + 54/5. -(z - 54)*(z + 1)**2/5 What is y in 3*y**3 - 3*y**2 - 6*y = 0? -1, 0, 2 Factor -7*g**4/4 - 5*g**3/4 + 4*g**2 - g. -g*(g - 1)*(g + 2)*(7*g - 2)/4 Factor -4*n**2 + 19432*n - 19428. -4*(n - 4857)*(n - 1) Factor d**4 - 177*d**3 + 513*d**2 + 1593*d - 4698. (d - 174)*(d - 3)**2*(d + 3) Solve 2*q**3/3 - 26*q**2/3 - 2618*q/3 - 27166/3 = 0. -17, 47 Factor -2*u**3/13 - 64*u**2/13 + 134*u/13 - 68/13. -2*(u - 1)**2*(u + 34)/13 Solve 48*c**4 + 60*c**3 - 72*c**2 + 3*c + 6 = 0 for c. -2, -1/4, 1/2 Let -4*y**4 - 84*y**3 - 480*y**2 - 400*y = 0. What is y? -10, -1, 0 Factor -3*i**2/4 - 51*i/2 - 99/4. -3*(i + 1)*(i + 33)/4 Factor -5*c**4 - 770*c**3 - 765*c**2. -5*c**2*(c + 1)*(c + 153) Suppose 2*c**4/9 + 4*c**3/3 - 44*c/9 + 10/3 = 0. What is c? -5, -3, 1 Suppose 5*j**2 + 200*j - 205 = 0. What is j? -41, 1 Suppose -j**2/7 + 59*j/7 - 24 = 0. What is j? 3, 56 Factor 2*y**2 - 3792*y. 2*y*(y - 1896) Factor d**5/3 - 7*d**4/3 + d**3 + 31*d**2/3 + 20*d/3. d*(d - 5)*(d - 4)*(d + 1)**2/3 Factor 3*l**5/5 + 9*l**4/5 - 54*l**3/5. 3*l**3*(l - 3)*(l + 6)/5 Factor m**4 - 32*m**3 - 33*m**2. m**2*(m - 33)*(m + 1) Suppose a**3/2 + 46*a**2 - 2*a - 184 = 0. Calculate a. -92, -2, 2 Find w, given that -w**5/4 + 4*w**4 - 37*w**3/2 + 14*w**2 + 147*w/4 = 0. -1, 0, 3, 7 Factor -d**5/10 - d**4/2. -d**4*(d + 5)/10 Find s such that -3*s**3/7 + 237*s**2/7 + 6303*s/7 + 36663/7 = 0. -11, 101 Factor f**5 + 7*f**4 + 14*f**3 + 8*f**2. f**2*(f + 1)*(f + 2)*(f + 4) Let 3*r**4 - 228*r**3 + 4329*r**2 + 228*r - 4332 = 0. What is r? -1, 1, 38 Determine k, given that k**2/4 - 6*k + 63/4 = 0. 3, 21 Factor 2*b**4/7 - 12*b**3/7 + 24*b**2/7 - 20*b/7 + 6/7. 2*(b - 3)*(b - 1)**3/7 Factor -2*p**5 + 4*p**3 - 2*p. -2*p*(p - 1)**2*(p + 1)**2 Solve 25*z**3/7 + 11*z**2 + 8*z + 4/7 = 0. -2, -1, -2/25 Determine i so that -3*i**5 + 21*i**4 + 15*i**3 - 225*i**2 = 0. -3, 0, 5 Let 20*k**4 - 1915*k**3 - 6380*k**2 - 5435*k - 990 = 0. What is k? -2, -1, -1/4, 99 Factor 3*z**2 - 126*z + 123. 3*(z - 41)*(z - 1) Factor 3*m**4 - 51*m**3 + 189*m**2 + 243*m. 3*m*(m - 9)**2*(m + 1) Suppose -4*a**4 + 28*a**3 - 24*a**2 = 0. What is a? 0, 1, 6 Find i such that -2*i**5 + 140*i**4 - 3440*i**3 + 33440*i**2 - 96800*i + 85184 = 0. 2, 22 Determine v, given that 5*v**5 + 20*v**4 - 180*v**3 + 370*v**2 - 305*v + 90 = 0. -9, 1, 2 Factor -l**4/5 + 16*l**3/5 - 29*l**2/5 + 14*l/5. -l*(l - 14)*(l - 1)**2/5 Let -4*t**3 - 28*t**2 + 4*t + 28 = 0. What is t? -7, -1, 1 Factor -v**5/3 + 16*v**4 - 812*v**3/3 + 1830*v**2 - 3825*v + 2250. -(v - 15)**3*(v - 2)*(v - 1)/3 Let 3*u**4 - 912*u**3 - 915*u**2 = 0. Calculate u. -1, 0, 305 Find a, given that -2*a**4 - 8*a**3 - 12*a**2 - 8*a - 2 = 0. -1 Find o, given that 2*o**3/11 - 68*o**2/11 + 530*o/11 - 1200/11 = 0. 5, 24 Factor 21*v**2/5 - 66*v/5 - 72/5. 3*(v - 4)*(7*v + 6)/5 Factor 2*w**3 - w**2/2 - 25*w/2 + 11. (w - 2)*(w - 1)*(4*w + 11)/2 Determine p, given that -4*p**5 - 8*p**4 + 32*p**3 - 8*p**2 - 28*p + 16 = 0. -4, -1, 1 Solve 3*t**3 + 33*t**2 + 105*t + 75 = 0. -5, -1 Factor l**3/2 + 2*l**2 + 2*l. l*(l + 2)**2/2 Solve -3*y**4 - 63*y**3 - 474*y**2 - 1476*y - 1512 = 0. -7, -6, -2 Factor -h**5/4 + 3*h**4/2 - 3*h**3 + 5*h**2/2 - 3*h/4. -h*(h - 3)*(h - 1)**3/4 Let -2*x**2/7 - 6*x = 0. Calculate x. -21, 0 Factor 3*a**5 + 24*a**4 + 39*a**3 + 18*a**2. 3*a**2*(a + 1)**2*(a + 6) Factor 3*l**2/5 - 82*l/5 + 504/5. (l - 18)*(3*l - 28)/5 Factor -2*y**4/9 + 12584*y**3/9 + 4196*y**2 + 37768*y/9 + 12590/9. -2*(y - 6295)*(y + 1)**3/9 Factor -3*p**4 - 6*p**3 + 264*p**2 - 1056*p + 1152. -3*(p - 4)**2*(p - 2)*(p + 12) Let -3*u**3/5 + 66*u**2 - 8736*u/5 - 18816/5 = 0. Calculate u. -2, 56 Factor 3*y**5 + 720*y**4 + 56112*y**3 + 1296912*y**2 - 9440496*y + 13232832. 3*(y - 4)*(y - 2)*(y + 82)**3 Let 2*a**2 - 8*a - 10 = 0. Calculat
{ "pile_set_name": "DM Mathematics" }
Let s(c) = 1 + 7*c - 20*c + c**3 + 8*c. Let w(n) = 3*r(n) + 4*s(n). What is w(-4)? 5 Let c = -2 - -2. Suppose -4*m = -c*m - 20. Let k(a) = -a. Let h(x) = 4*x + 2. Let i(j) = h(j) + 3*k(j). Determine i(m). 7 Let l be ((-5)/(-2))/5*16/2. Suppose -c - 5 = -0*c, c + 13 = -l*o. Let i(a) = -a - 8*a - a**2 + 6*a. What is i(o)? 2 Let y = -3 - -2. Let f(v) = 387 - 10*v**2 + v + 386 - 773. Give f(y). -11 Let k(a) = -30 + 2*a - 32 - 1 + 14 + a. Calculate k(17). 2 Let s(h) be the third derivative of h**4/24 - h**3/3 - h**2. Let n be ((-24)/9)/(5/(-3) - -1). Suppose p + 18 = 5*x, -n*p + 1 = x - 11. Calculate s(x). 2 Let d(s) = -2*s**2 - 2 - 163*s + 346*s - 169*s - 12. Calculate d(5). 6 Let j(r) be the first derivative of r**3/3 + 3*r**2/2 + 4*r - 81. Determine j(-4). 8 Let o(j) be the first derivative of -j**4/4 - 2*j**3 + 4*j**2 + 10*j + 35. Determine o(-4). -54 Suppose 3*y - 5 + 24 = 5*s, -4*y = 12. Let i(n) = 0*n**2 - s + 0 + 4*n + n**2. Determine i(-3). -5 Let h(n) be the third derivative of -15*n**2 - 1/24*n**4 + 0*n - 1/24*n**6 - 1/6*n**3 + 0 + 1/60*n**5. Determine h(-1). 6 Let k(o) = 6*o**2 + o. Let w(x) = 17*x**2 - 17*x - 29. Let c(d) = -3*k(d) + w(d). Determine c(-18). 7 Let l = 23 + -22. Suppose i - l = -0*i. Let a(x) = -4*x - 4 + x**3 + 5*x**2 + 0*x - 2*x**2 + i. What is a(-3)? 9 Let a(d) = d - 1. Let k = 31 + -26. Suppose -k*r = -v + 35, r + 2*r + 39 = -3*v. Let n be r/10*35/(-14). Give a(n). 1 Let b(t) = -t**3 + 11*t**2 + t - 7. Let j be 5 - 4 - (-4 + 3). Suppose 6*i = j*i + 5*y + 49, 0 = -5*i + y + 56. Calculate b(i). 4 Suppose 2*f + f - 6 = 0. Let v(o) be the third derivative of 1/6*o**3 + 0 + 1/60*o**5 - 1/6*o**4 + 0*o - 27*o**2. What is v(f)? -3 Let z(k) = -6*k**2 + 95*k + 4 + 1 + k**3 - 187*k + 97*k. Determine z(5). 5 Let c be ((-4)/(-12))/((-2)/6). Let z be 0/c - (-3)/(-3). Let d(u) = u**3 + 2*u**2 + 2*u + 1. What is d(z)? 0 Let q(p) = -p + 1. Let x(d) = -d**2 - 5*d + 7. Let i be x(-5). Let m(u) = -3*u**2 + 4*u**2 - i - 4*u + 3*u. Let l(y) = m(y) + 4*q(y). Determine l(5). -3 Let z = -561 + 561. Let v(l) be the third derivative of 1/24*l**4 + l**2 - 13/6*l**3 + z + 0*l. Determine v(0). -13 Let v = 5 + -2. Let d(f) = -4*f**2 + 5*f + 1. Let k(h) = -5*h**2 + 7*h. Let c(z) = 4*d(z) - 3*k(z). Determine c(v). -8 Let u(b) = -4*b**2 - 6*b**2 - 8*b**2 + 4 - 16*b**2 + 31*b**2 - b**3. Suppose 0 = 4*p - 10 - 10. Suppose 3*t + h + 8 - 2 = 0, 5*t + p*h = 0. Determine u(t). 4 Suppose s = 4*p - 10, -4*s = -6*p + 3*p + 1. Let w be 2*-3*s/(-4). Let g(y) = -1 + 2 + 4*y**2 + y**w - 6. Determine g(-4). -5 Let j(p) be the third derivative of -p**6/120 + p**4/8 - p**3/2 + 26*p**2. Let n(q) = -q**2 + 17*q - 14. Let i be n(16). Give j(i). -5 Let n(m) be the second derivative of m**4/12 + 5*m**3/3 + 3*m**2 + 3*m - 3. Suppose -5*s = 11 + 19. What is n(s)? -18 Let f(z) = -7*z**2 + 5 + z + 24*z**3 + 27*z**3 + 36*z**3 - 86*z**3. Calculate f(5). -40 Let p(f) be the second derivative of 2*f**2 + 0 - 1/6*f**3 - 5*f - 1/12*f**4. Calculate p(-3). -2 Let d(v) be the first derivative of -5/2*v**2 + 3 + 1/3*v**3 + v. Let b(i) = -i**2 + 10*i + 2. Let q be b(10). Calculate d(q). -5 Let v(x) be the third derivative of x**5/10 + x**3/6 + x**2. Let s(t) = 7*t**2 + 1. Let y(d) = 4*s(d) - 5*v(d). Give y(2). -9 Suppose -3*k + h - 3563 = -8*k, k = -4*h + 705. Let f(w) = -713*w + k*w - 2 + w**2. Let r(a) = -a + 3. Let s be r(0). What is f(s)? 7 Let k(w) = -w - 5. Let t(y) be the second derivative of -y**5/20 - 5*y**4/6 + 5*y**3/3 - 15*y**2/2 + 5*y. Let c be t(-11). Give k(c). -1 Let h(k) be the first derivative of -7*k**2 - k - 201. Determine h(2). -29 Suppose 3*d - 43 = -58. Let m(b) = b**3 + 4*b**2 - 2*b - 6. Determine m(d). -21 Let t(b) be the third derivative of -b**4/24 - b**3/3 - 15*b**2. Let s(i) = -i**3 - i**2 + 2*i + 1. Let g be s(-1). Let q = 1 + g. Give t(q). -2 Suppose -4*b - 5*y = -8, 3*y - 10 = 2*b + 2*y. Let c(p) = 6*p + 11. Let x be c(b). Let w(u) = u**2 + 8*u - 1. What is w(x)? -8 Let a(h) be the third derivative of 0 + 0*h + h**2 + 1/120*h**5 + 2/3*h**3 + 5/24*h**4 + 1/360*h**6. Let w(s) be the first derivative of a(s). Give w(0). 5 Let t(z) = -2*z**2 + 4*z**2 - 3*z**2 - 5*z. Let r = -71 + 67. Let s be t(r). Let l(k) = k**3 - 4*k**2 + 3. What is l(s)? 3 Let k(t) = -5*t**2 + 8*t - 1. Let w(s) be the first derivative of -5*s**3 + 23*s**2/2 - 2*s - 51. Let a(c) = 11*k(c) - 4*w(c). What is a(-2)? 25 Let f = -775 - -774. Let b(m) = 18*m**3 - m**2 + m + 1. What is b(f)? -19 Let q(h) = 13 - 4*h - 36 + 1 + 5*h. Calculate q(7). -15 Let s(n) = -11*n**3 - 4. Let o(y) = 2*y**3 + 1. Let k(i) = -5*o(i) - s(i). What is k(0)? -1 Let g(f) be the first derivative of f**2/2 + 3*f - 2. Suppose 11*j - 8*j = -108. Let u = -36 - j. Calculate g(u). 3 Let b(g) = -13*g**3 - g**2. Let q = -31 - -32. Suppose 3 = 2*c + q. What is b(c)? -14 Let g = 177 - 177. Let m(u) = u**2 + u - 22. Give m(g). -22 Let p(u) = -1. Let w(o) = -7*o + 1. Let k(f) = 2*p(f) + w(f). Suppose -2 - 10 = 3*i. Let a be (9/(-18))/(2/i). Calculate k(a). -8 Let u(z) be the second derivative of -z**4/12 - 3*z**3/2 - 11*z**2 - 9*z - 16. Calculate u(-9). -22 Let c(j) = j**3 + 7*j**2 + 7*j. Let u(b) = 0*b**3 + 3*b + 2*b**3 + 2*b**3 - 2*b. Let a be u(-1). What is c(a)? 15 Let g(b) = -8*b**2 - 13*b + 14. Let l be g(1). Let a(q) = -q**3 - 6*q**2 + 4*q - 4. Determine a(l). 17 Let i(p) = 14*p - 11. Let r(c) = -11*c + 10. Let l(d) = -3*i(d) - 4*r(d). Calculate l(12). 17 Let t(s) = 4*s**2 - 3*s + 1. Let k be t(2). Let j(l) = l**3 + 5*l**2 + 2*l - 6. Let w be j(-3). Let g(r) = r**2 + w - 3*r + k*r - 1. What is g(-5)? -10 Let i(c) = c**3 - 10*c**2 - c + 10. Let z be i(10). Let j(n) = 2 - 3*n**2 + z*n - 4*n + 5*n**2. Give j(2). 2 Suppose -b + f + 2 = -3*f, -f - 2 = -b. Suppose -s = b*a, -24 = s - 0*a - 4*a. Let r(j) = j**2 + 6*j - 10. Give r(s). 6 Let r(x) = -x - 11. Let l(o) = 2*o + 23. Let k(i) = 6*l(i) + 13*r(i). Calculate k(-5). 0 Let o(d) = -d**2 + 3*d - 1. Let k(i) = i + 3. Let y be k(-5). Let x(a) = -2*a**2 + 5*a - 1. Let b(l) = y*x(l) + 5*o(l). Calculate b(3). 3 Let a(d) = 12*d**3 - d**2 + 1. Let q be -1 + 8/12*3. Let t be a(q). Let o(w) = -4*w - w - 8 + t + 6*w. Give o(0). 4 Let x(t) = t**3 + 3*t**2 - t - 2. Let w = -6 - -40. Let d(s) = s**2 - 12*s + 3. Let v be d(10). Let i be (-3 - 1)/(w/v). What is x(i)? 16 Let r(j) = 3*j - 17. Suppose 7*g - 394 = -303. Determine r(g). 22 Let a(u) = 3 - 14948*u + 14950*u + 1. Let i = -2 + -4. Determine a(i). -8 Let j be (-1)/(1 - 0)*-3. Suppose 0*x - y - 58 = -3*x, 0 = -x + 5*y + 24. Let s(t) = 9*t - 4*t - x + 17. Determine s(j). 13 Suppose i + 5*b = 5, -b - 7 + 2 = -i. Let y(f) = -f**2 + 4*f - 2. Let o be y(3). Suppose 0 = c + i - o, -4*p = -c. Let x(h) = -h. Determine x(p). 1 Let m(u) = u - 4. Let p = 44 + -34. Suppose -5*r + 2*v + 19 = -p, -r = 3*v + 1. Give m(r). 1 Let n(p) = p**2 - 11*p - 1. Let u(a) = -4*a**2 + 29*a + 4. Let y(h) = 8*n(h) + 3*u(h). Determine y(3). -35 Suppose -4*i + 41 = -231. Let z(n) = -72*n - 2 - 2 + 3 + i*n. What is z(1)? -5 Let k(b) = 14*b. Let q = -41 - -47. Suppose 0 = q*d - d - 3*p + 30, 4*d + 4*p + 24 = 0. Let i be -1 + 0*2/d. What is k(i)? -14 Suppose 0 = -3*f - 3*f + 1176. Let n(o) = -196*o**2 - o**3 + 10 + f*o**2. Suppose 5*a - 6 = 5*c + 9, 3 = 5*c + a. Calculate n(c). 10 Suppose 3*b + 0*b + 3 = 0. Let h(d) = -d**3 - 6*d**2 - 11*d + 5. Let s(t) = t**2 + 2*t - 1. Let w(o) = h(o) + 5*s(o). Calculate w(b). 1 Let l = 3 + 0. Let i(a) be the first derivative of a**4/12 - a**3/6 + a**2/2 + 6*a - 9. Let b(k) be the second derivative of i(k). Give b(l). 5 Let m(j) = -j**3 + 3*j**2 - 2*j - 1. Let o(b) = b**2 + 5*b - 4. Let y be o(-6). Suppose 5*c = 6*c - y. Give m(c). -1 Let h(y) = -1 + 5*y + 0*y - 2*y. Let i(x) = 6*x - 4. Let w(b) = -b + 1. Let d(q) = -i(q) - 2*w(q). Let z(u) = -4*d(u) - 5*h(u). Determine z(3). 0 Suppose g = -g. Suppose g*j = 3*d - j, 5*d = -j - 8. Let n(u) = u + 2. What is n(d)? 1 Let p be ((-96)/(-60))/(4/(-10)) + 7. Let q(o) = -4*o - 4*o + 2*o**2 + 17*o - 1 - 8*o - o**p. Determine q(1). 1 Suppose -p - 3*p = -2*a - 16, -4*a = -3*p + 22. Let d(o) be the first derivative of 7 - 3 + o**p + 3 - 2 + 7*o. Determine d(-6). -5 Let n = 3 - -14. Let u(h) = -n*h**2 + 10*h**2 + 8*h**2 - 1 - 6*h + 0. Determine u(5). -6 Let l(o) = -o. Let j(b) = -b**2 + 2*b + 5
{ "pile_set_name": "DM Mathematics" }
escending order. 3, -2/9, f Suppose -a - a + 5*b - 18 = 0, -5*a - 26 = -3*b. Put 2/5, a, -1/2 in decreasing order. 2/5, -1/2, a Suppose 5*q - 4*h = -12, 4*q - 14 = 6*q + 3*h. Put 4, q, -3, -1 in decreasing order. 4, -1, -3, q Let r = -0.24 + 0.74. Let d be -2 - (2 + 26/(-7)). Put d, r, 0.6 in descending order. 0.6, r, d Let c = -14 + 14.2. Put c, -0.5, -0.2 in increasing order. -0.5, -0.2, c Let f = 0.06 - 5.06. Let n = -9 - f. Let o = n - -3. Put -0.3, o, 5 in decreasing order. 5, -0.3, o Let i = -9.12 - -9. Sort -2/9, -2/17, -2, i in decreasing order. -2/17, i, -2/9, -2 Let d(r) = -r**3 - 22*r**2 - 21*r + 2. Let b be d(-21). Put 11, b, -1/3, -4 in ascending order. -4, -1/3, b, 11 Let q = -7 + 14. Let y = 4 - 8. Sort y, q, -5. -5, y, q Suppose 3*d = -2*d - 25. Put -4, d, 3 in increasing order. d, -4, 3 Let k(p) be the second derivative of -p**5/20 - 5*p**4/12 + 2*p**2 + p. Let c be k(-5). Put 3, c, -2 in ascending order. -2, 3, c Suppose 10 + 5 = -5*r. Let b be 1/3 - 154/210. Put r, 0.2, b in decreasing order. 0.2, b, r Let t be 2 - (-2 + 1) - -2. Suppose -5*j - x + 3*x = 9, -8 = 2*j - 3*x. Let r = 1 - 1. Put r, j, t in ascending order. j, r, t Let n = -8 + 4. Put -5, n, -14 in increasing order. -14, -5, n Let i be -2*(2 - 1/1). Suppose -p + 4 = -x, 3*p - 2*x - 14 = 3*x. Sort p, i, 2 in descending order. p, 2, i Let x = 0.66 - 4.56. Let z = x + -0.1. Let s(m) = -4*m. Let p be s(-1). Sort z, -1/4, p in decreasing order. p, -1/4, z Suppose 4 = -p + 2*p + 5*s, -4*s = -4*p + 16. Suppose p*r = 2*q + 4, 2 = 5*r + 5*q - 6*q. Put r, -3, 5 in decreasing order. 5, r, -3 Let m be ((-3)/6 - -2)/((-126)/(-24)). Put -1/7, -4, m, -1.2 in increasing order. -4, -1.2, -1/7, m Let v = 0 - 3. Let w = -8/7 + 1. Sort w, -1, v in increasing order. v, -1, w Suppose -2*o - 3*o + 11 = 4*j, 4*o = -j. Suppose -2 = 2*w - 8. Suppose -2*r + 5 = -w*r. Put r, 4, o in decreasing order. 4, o, r Let n be 6/33 - (-64)/11. Sort n, 2, 1, 0.1. 0.1, 1, 2, n Let l be (6 - 5)*(-26)/(-1). Suppose 0 = 5*d + 4*m - l, -d - 4*d = 5*m - 30. Put -5, 0, d in ascending order. -5, 0, d Let q be (-52)/70 + 33/55. Let g = -55/312 - -1/104. Let f = 0.03 + 1.97. Sort g, q, f in decreasing order. f, q, g Suppose 4*x - 1 = -2*j + 7, -j - x = -3. Let s be ((-12)/16)/(j/8). Put -9, -5, s in ascending order. -9, -5, s Let d be (10/(-25))/(1/(-25)). Let j be (3/9)/(d/(-18)). Put -0.3, -3, j in ascending order. -3, j, -0.3 Let s(a) = a**2 + 7*a - 13. Suppose -m - 3 = 2*b, -20 - 4 = 3*m + b. Let n be s(m). Sort n, 4, 2. 2, 4, n Let c be 0/(-1 - 9/(-3)). Suppose c = -s - 0*s - 1. Let i be -1 + (s - (-6)/1). Sort 3, -4, i in descending order. i, 3, -4 Suppose 0 = 2*x - 2*o + 5 + 13, 4*o = -2*x + 12. Suppose -2*b + k = -6*b + 15, -2*b + 30 = -4*k. Let c be 1*(2/1 - 3). Sort b, c, x in decreasing order. b, c, x Let f = -27 + 27. Put 5, f, -0.4 in decreasing order. 5, f, -0.4 Let b = -5.02 - -0.02. Let n = -0.4 - -0.48. Let x = -0.38 + n. Put b, 4, x in increasing order. b, x, 4 Let m = 90 + -114. Sort 4, -3, m. m, -3, 4 Let v be (-1)/(-6) - (-38)/(-12). Suppose -5*q = 4*r + 1 - 11, q = r + 2. Put v, q, -1 in descending order. q, -1, v Let b(n) = n**2 + 3*n + 2. Let t be b(-1). Sort 2, 1, t in descending order. 2, 1, t Suppose -1 = 2*o + 11. Put 3, -2, o in increasing order. o, -2, 3 Let s = 7 + -4. Sort 5, -9, s in descending order. 5, s, -9 Suppose -4*d = 2*d + 6. Put 17, d, 2, -2 in increasing order. -2, d, 2, 17 Let f = -2.4 + -3.1. Let s = f - -6. Sort s, -3, -4. -4, -3, s Let n = 17.1 - 17. Sort n, -1/4, 0.4 in descending order. 0.4, n, -1/4 Let l(h) = -2*h - 5. Let z be l(-5). Sort 4, 0, z, 6 in decreasing order. 6, z, 4, 0 Let v = -3 - -3. Let f be v - 4*(-1)/(-2). Let k = f + 4. Sort 1, k, 4 in descending order. 4, k, 1 Let t(u) = 2*u - 6. Let q be t(8). Put 3, q, 5 in descending order. q, 5, 3 Let o = 4 - 1. Let j be (3/(-1))/(o/(-3)). Suppose 0 = -j*v + 6. Put 3/2, 0.5, v in decreasing order. v, 3/2, 0.5 Let h(p) = -p - 3. Let a be h(-3). Put a, -2, 3 in increasing order. -2, a, 3 Let v = -0.3 + 0.1. Suppose 5*q - 8 = 13*q. Sort -0.1, q, v. q, v, -0.1 Let x = -49049 + 12360277/252. Let u = x + 2/63. Sort u, 0.1, 1/5 in increasing order. u, 0.1, 1/5 Let u = 1.3 + -0.8. Let b = -1.8 - -2. Put 2/5, u, b in decreasing order. u, 2/5, b Let b(x) = -3*x - 3. Let f be b(-6). Let c = -12 + f. Put 0.3, c, -2/19 in increasing order. -2/19, 0.3, c Let x be 2/(-6)*0 - 4. Suppose -2*z - 3*z + 10 = 0. Sort x, -2, z in descending order. z, -2, x Suppose 3*t - 40 = -7*t. Put 0, t, -3, 2 in decreasing order. t, 2, 0, -3 Suppose 3*x - 2*r + 15 = 0, 2*r + 0 = 6. Suppose 0 = -0*k - 5*k + 70. Suppose 0 = 4*m - 3*g + 13, -4*m + 0*m = -2*g + k. Put m, x, -1 in ascending order. m, x, -1 Suppose g - 4*o = 3, -4*g + 2*o - 21 = -g. Let a = -13 - g. Put 0, -23, a in descending order. 0, a, -23 Let b be (12/(-9))/((-6)/18). Put b, -18, 2 in descending order. b, 2, -18 Let s = 82 + -86. Suppose -6*w + w + 4*j = -11, j = w - 3. Sort -0.5, s, w in descending order. -0.5, w, s Let z be 156/(-28) - (-4)/7. Sort z, 5, 0, 3. z, 0, 3, 5 Let h(t) = 3*t + 5. Let q be h(-5). Let l = 9 + q. Put 3, -5, l in increasing order. -5, l, 3 Suppose -p + 36 = 2*p. Suppose -p = 2*f + f. Let j = -13 + 8. Put -2, f, j in descending order. -2, f, j Suppose -4*y - 1 = -21. Suppose 5 = k + 8. Sort 2, k, y. k, 2, y Let z = 2.4 + -2.4. Sort -3, z, -2. -3, -2, z Suppose 0 = 5*z - 3 - 22. Let s be (-2)/z + 3/(-5). Sort -4, -3, s in decreasing order. s, -3, -4 Suppose -2*q - 26 = -5*c, 3*q - 1 + 10 = 0. Suppose -8 = 3*b + 1. Let o = 4 - 9. Put b, o, c in increasing order. o, b, c Suppose 3*p - 14 = g, 4*g - 6 + 38 = 4*p. Let m(w) = 9 - 6*w + 3*w + 6*w - 5*w. Let u be m(6). Sort 5, p, u in decreasing order. 5, p, u Let q(h) = h**2 - 3*h - 6. Let f be q(5). Suppose -f = -0*k - 2*k. Sort 1, 3, k in increasing order. 1, k, 3 Suppose -18*z - 15 = -13*z. Sort 2, z, -2 in descending order. 2, -2, z Let m be 10 + -2 + -1 + 1. Let u be (-10)/m - (-3)/12. Sort -3, 5, u in descending order. 5, u, -3 Let w be 4*(-2)/(-6)*(-26 + 23). Sort -1, 0, w in increasing order. w, -1, 0 Let v(c) = -c + 17. Let z be v(14). Suppose 8*n - z*n = 0. Sort n, 4, 5 in ascending order. n, 4, 5 Let s be -1*(13/(-20) - 20/(-50)). Put -0.3, s, 0, -1 in decreasing order. s, 0, -0.3, -1 Let h be 3*1/(-4)*4. Let z = -14 + 19. Suppose -2*s - a = 2, 4 = -3*a + z*a. Sort -4, h, s in descending order. s, h, -4 Let r = -72 - -76. Sort -0.4, r, 1/16, 1 in decreasing order. r, 1, 1/16, -0.4 Let n be 8/20*(6/4 + 1). Sort 5, 2, n. n, 2, 5 Let d be (-1 + -1 - -2)/(-3). Put -0.16, 0.5, d in descending order. 0.5, d, -0.16 Suppose 5*w = 0, -l = -4*w + 6*w + 2. Let q be 1/(-2) - 9/2. Put l, 2, q in ascending order. q, l, 2 Suppose -5*z - 2 = -0*a + 3*a, 3*a + 16 = 2*z. Let s = 48 - 48.5. Sort z, s, 1 in increasing order. s, 1, z Let k = 0.04 - 0.14. Put k, 5, -5 in descending order. 5, k, -5 Let c = -19 - -19.2. Sort c, 4, 2/9 in ascending order. c, 2/9, 4 Let k = -2 - -3. Let l = -0.8 + k. Let u be (-6 - -6)/(-7) - (-2)/(-5). Sort u, 1, l in descending order. 1, l, u Let p be (0 - 0 - 224)/(-1). Let a be (21/p)/((-1)/(-4)). Put 5, 0.6, a in ascending order. a, 0.6, 5 Let u be -4 - (6 + -7 + -6). Suppose -z + k = 0, -2*k = -2 - 0. Suppose -4*t - z + 9 = 0. Sort u, 1, t in increasing order. 1, t, u Let f = 14.6 + -12.6. Put 0.02, f, -0.1 in increasing order. -0.1, 0.02, f Suppose 0 = -0*b + b - 5. Let o be (-4)/8*-4 - -3. Suppose 3*f + 5*h + 32 = -8, 5 = 4*f - o*h. Sort f, b, 0. f, 0, b Let j = 121 + -119. Sort -1, 1, j, 3. -1, 1, j, 3 Let a = -0.06 + 1.06. Sort 3, a, -9 in decreasing order. 3, a, -9 Let m(i) = -i**3 - 5*i**2 - i - 3. Let t be m(-5). Let c = t - 5. Sort -2, 5, c in decreasing order. 5, -2, c Let d = -3 - -1. Let m = -0.6 + 0.53. Let c = m + -0.03. Put d, 5, c in decreasing order. 5, c, d Let i = 3.2 - -0.2. Let v = 1.6 + i. Sort v, 3, -9 in ascending order. -9, 3, v Suppose 4*y - 3*n = -n + 10, -2*n = -5*y + 14. Let r be y/(-18) + 24/(-135). Put r, -5, 3 in decreasing order. 3, r, -5 Let i(s) be the first derivative of -s**3/3 - 7*s**2/2 + 13*s + 1. Let u be (9/(-2))/(12/24). Let z be i(u). Sort z, 1/8, -2/7 in decreasing order. 1/8, -2/7, z Let c = 23 - 21. Suppose 0 = -d - x + 4, 0 = 4*d
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence gu when two letters picked without replacement from {h: 3, d: 2, g: 1, u: 2, r: 6, p: 1}? 1/105 What is prob of sequence njl when three letters picked without replacement from {x: 1, j: 1, n: 2, l: 4}? 1/42 Two letters picked without replacement from rrrqeawewaaqrrw. Give prob of sequence aw. 3/70 Three letters picked without replacement from {h: 5, u: 14, m: 1}. What is prob of sequence uhu? 91/684 What is prob of sequence jjjj when four letters picked without replacement from {j: 10}? 1 Two letters picked without replacement from {x: 3, f: 1, b: 1, d: 2}. What is prob of sequence df? 1/21 Four letters picked without replacement from {z: 5, k: 8, e: 4, o: 2}. Give prob of sequence zekk. 35/2907 What is prob of sequence iwc when three letters picked without replacement from {c: 2, w: 4, i: 1, p: 4}? 4/495 Two letters picked without replacement from {o: 10, f: 2}. What is prob of sequence oo? 15/22 Two letters picked without replacement from fdskx. Give prob of sequence df. 1/20 Two letters picked without replacement from iaaammaaimafmima. What is prob of sequence af? 7/240 Four letters picked without replacement from xxppx. What is prob of sequence pxxp? 1/10 Three letters picked without replacement from jjggggggjggggg. Give prob of sequence ggg. 165/364 Two letters picked without replacement from tyytyyyytty. What is prob of sequence tt? 6/55 What is prob of sequence tyo when three letters picked without replacement from {t: 2, p: 6, y: 1, o: 9, q: 1, c: 1}? 1/380 What is prob of sequence bb when two letters picked without replacement from wzbbwbbwwbw? 2/11 What is prob of sequence bbb when three letters picked without replacement from zzbbbbbbbbbb? 6/11 Two letters picked without replacement from gbysj. Give prob of sequence bs. 1/20 Calculate prob of sequence sssx when four letters picked without replacement from xssxxsxssssx. 35/396 What is prob of sequence euu when three letters picked without replacement from {c: 2, e: 1, u: 2, i: 4}? 1/252 Four letters picked without replacement from {y: 2, p: 2, o: 4}. What is prob of sequence yoyy? 0 What is prob of sequence ieww when four letters picked without replacement from {l: 1, e: 2, y: 1, w: 2, i: 1}? 1/210 What is prob of sequence ngam when four letters picked without replacement from nnagagwagmgna? 2/715 Calculate prob of sequence uujv when four letters picked without replacement from {j: 1, v: 3, x: 1, u: 2}. 1/140 Two letters picked without replacement from vltellgttvtvvtvvg. Give prob of sequence el. 3/272 Two letters picked without replacement from jxxxjxjxxxxjxxxxjxx. Give prob of sequence xj. 35/171 Calculate prob of sequence ud when two letters picked without replacement from udlluuuxu. 5/72 Three letters picked without replacement from vvqqttitsvl. Give prob of sequence lqv. 1/165 Calculate prob of sequence zy when two letters picked without replacement from zyzyqqqzytzyztqzzy. 35/306 Four letters picked without replacement from nejllnlll. What is prob of sequence lnej? 5/1512 What is prob of sequence ckko when four letters picked without replacement from {k: 5, c: 5, o: 1, i: 5, f: 2}? 5/3672 Four letters picked without replacement from {l: 5, t: 1, d: 4}. Give prob of sequence lddl. 1/21 Two letters picked without replacement from {v: 14, i: 1, c: 2}. Give prob of sequence vc. 7/68 Calculate prob of sequence wws when three letters picked without replacement from {s: 6, w: 6}. 3/22 Two letters picked without replacement from zxmzzrzm. What is prob of sequence zm? 1/7 What is prob of sequence eee when three letters picked without replacement from {e: 11, g: 2}? 15/26 Three letters picked without replacement from ceccgggeeeegcg. Give prob of sequence eee. 5/182 Two letters picked without replacement from {g: 4, t: 2, f: 8, y: 2}. Give prob of sequence fg. 2/15 Four letters picked without replacement from biiiiiiibiiii. What is prob of sequence iiib? 3/26 What is prob of sequence brox when four letters picked without replacement from frjxjojrbrrjj? 1/4290 Four letters picked without replacement from appspsafsfpap. What is prob of sequence ssfa? 3/1430 Two letters picked without replacement from {q: 2, j: 5, d: 1, u: 1}. What is prob of sequence ju? 5/72 What is prob of sequence wh when two letters picked without replacement from {h: 11, g: 1, u: 1, k: 1, f: 2, w: 2}? 11/153 Three letters picked without replacement from afkkofoaa. Give prob of sequence oof. 1/126 Calculate prob of sequence qqw when three letters picked without replacement from {p: 1, w: 3, z: 4, q: 2}. 1/120 What is prob of sequence erz when three letters picked without replacement from {m: 2, r: 3, a: 1, z: 3, t: 7, e: 1}? 3/1360 Calculate prob of sequence iw when two letters picked without replacement from {w: 2, m: 2, i: 1, v: 1}. 1/15 Two letters picked without replacement from {l: 1, y: 2, d: 1, h: 1}. What is prob of sequence hy? 1/10 Calculate prob of sequence zp when two letters picked without replacement from zzzpzzzp. 3/14 Calculate prob of sequence ag when two letters picked without replacement from {f: 1, g: 1, a: 1}. 1/6 Four letters picked without replacement from tzotfub. Give prob of sequence zfou. 1/840 Two letters picked without replacement from lsxelqq. What is prob of sequence el? 1/21 What is prob of sequence kz when two letters picked without replacement from mjkzg? 1/20 Three letters picked without replacement from {w: 1, d: 1, u: 1, f: 2, g: 1, l: 1}. What is prob of sequence ffd? 1/105 Four letters picked without replacement from lzidxilk. What is prob of sequence dlxk? 1/840 Four letters picked without replacement from urndnaur. What is prob of sequence rdrn? 1/420 What is prob of sequence hhv when three letters picked without replacement from hvhvhhvh? 5/28 What is prob of sequence ojjo when four letters picked without replacement from ojojjjjjjjjjojoo? 55/1092 Two letters picked without replacement from {q: 1, x: 2, e: 1}. Give prob of sequence xq. 1/6 Four letters picked without replacement from iswlwssdwsrllis. Give prob of sequence dlrw. 1/3640 Three letters picked without replacement from {h: 3, d: 4}. Give prob of sequence hhd. 4/35 Calculate prob of sequence zji when three letters picked without replacement from zjcijjjcjiczjijjj. 9/680 Calculate prob of sequence ooo when three letters picked without replacement from {o: 9}. 1 What is prob of sequence at when two letters picked without replacement from oaaotoooa? 1/24 Calculate prob of sequence dbb when three letters picked without replacement from {b: 12, d: 1}. 1/13 Four letters picked without replacement from xxiiiiixixihxx. What is prob of sequence iiih? 5/572 What is prob of sequence ov when two letters picked without replacement from vvo? 1/3 Two letters picked without replacement from bjww. What is prob of sequence wb? 1/6 Three letters picked without replacement from {y: 2, n: 1, q: 5, g: 1, h: 1}. What is prob of sequence yqy? 1/72 What is prob of sequence za when two letters picked without replacement from {a: 3, z: 1, k: 2, i: 1}? 1/14 What is prob of sequence dq when two letters picked without replacement from dvdqv? 1/10 Calculate prob of sequence xd when two letters picked without replacement from vddvxvddd. 5/72 What is prob of sequence rlm when three letters picked without replacement from mwdddmmmmlmrddw? 1/455 Calculate prob of sequence xa when two letters picked without replacement from xwgahahgggwh. 1/66 Calculate prob of sequence kvk when three letters picked without replacement from {k: 1, v: 3}. 0 Four letters picked without replacement from {r: 3, f: 1, q: 6, s: 4}. Give prob of sequence qrsr. 6/1001 What is prob of sequence dd when two letters picked without replacement from tttttttdtttdttdttttd? 3/95 Calculate prob of sequence rqr when three letters picked without replacement from {r: 13, q: 3}. 39/280 Four letters picked without replacement from {o: 5, z: 4, e: 1, v: 1, u: 4}. Give prob of sequence oeuz. 2/819 Calculate prob of sequence dyd when three letters picked without replacement from {d: 2, y: 8}. 1/45 Three letters picked without replacement from {n: 1, k: 1, p: 2}. What is prob of sequence nkp? 1/12 Calculate prob of sequence aiia when four letters picked without replace
{ "pile_set_name": "DM Mathematics" }
vided by 76? 74 Calculate the remainder when 26097 is divided by 63. 15 What is the remainder when 76472 is divided by 25488? 8 Calculate the remainder when 1198511 is divided by 164. 163 What is the remainder when 23031 is divided by 7660? 51 Calculate the remainder when 7937 is divided by 72. 17 What is the remainder when 35536 is divided by 35431? 105 What is the remainder when 14090 is divided by 52? 50 Calculate the remainder when 11637 is divided by 140. 17 Calculate the remainder when 11306 is divided by 435. 431 What is the remainder when 191946 is divided by 55? 51 What is the remainder when 62421 is divided by 275? 271 Calculate the remainder when 7092 is divided by 512. 436 Calculate the remainder when 75328 is divided by 186. 184 What is the remainder when 3959 is divided by 1101? 656 Calculate the remainder when 13793 is divided by 1046. 195 What is the remainder when 31750 is divided by 9985? 1795 Calculate the remainder when 1760337 is divided by 12. 9 Calculate the remainder when 6711 is divided by 38. 23 Calculate the remainder when 57938 is divided by 2313. 113 What is the remainder when 14234 is divided by 50? 34 Calculate the remainder when 1593 is divided by 6. 3 Calculate the remainder when 4269626 is divided by 7. 4 What is the remainder when 735336 is divided by 233? 221 Calculate the remainder when 111832 is divided by 342. 340 What is the remainder when 512245 is divided by 21? 13 Calculate the remainder when 35415 is divided by 3219. 6 Calculate the remainder when 604 is divided by 198. 10 What is the remainder when 154291 is divided by 17? 16 Calculate the remainder when 130266 is divided by 15. 6 What is the remainder when 124604 is divided by 352? 348 What is the remainder when 4839 is divided by 255? 249 What is the remainder when 7141 is divided by 144? 85 What is the remainder when 275 is divided by 24? 11 What is the remainder when 44875 is divided by 146? 53 What is the remainder when 22895349 is divided by 989? 988 What is the remainder when 5126 is divided by 1020? 26 What is the remainder when 33340 is divided by 641? 8 Calculate the remainder when 59271 is divided by 37. 34 Calculate the remainder when 10669 is divided by 1778. 1 What is the remainder when 17687 is divided by 226? 59 Calculate the remainder when 4733 is divided by 633. 302 Calculate the remainder when 65471 is divided by 153. 140 What is the remainder when 35141 is divided by 191? 188 What is the remainder when 2448 is divided by 1223? 2 Calculate the remainder when 73261 is divided by 177. 160 Calculate the remainder when 106187 is divided by 27. 23 Calculate the remainder when 23638 is divided by 2180. 1838 Calculate the remainder when 109338 is divided by 20. 18 What is the remainder when 13028 is divided by 43? 42 What is the remainder when 60478 is divided by 30235? 8 What is the remainder when 1306299 is divided by 211? 209 Calculate the remainder when 14622 is divided by 168. 6 Calculate the remainder when 9339 is divided by 3050. 189 What is the remainder when 97703 is divided by 114? 5 Calculate the remainder when 882 is divided by 5. 2 Calculate the remainder when 1322 is divided by 654. 14 What is the remainder when 303975 is divided by 2? 1 What is the remainder when 4304 is divided by 1421? 41 Calculate the remainder when 2609 is divided by 2502. 107 What is the remainder when 1180 is divided by 292? 12 What is the remainder when 2767 is divided by 1305? 157 What is the remainder when 6744 is divided by 753? 720 What is the remainder when 875 is divided by 332? 211 Calculate the remainder when 384464 is divided by 128152. 8 Calculate the remainder when 17306 is divided by 13. 3 Calculate the remainder when 12939 is divided by 671. 190 Calculate the remainder when 27426 is divided by 13705. 16 Calculate the remainder when 214873 is divided by 7. 1 What is the remainder when 1524 is divided by 461? 141 Calculate the remainder when 5332 is divided by 80. 52 What is the remainder when 20189817 is divided by 20? 17 Calculate the remainder when 9421 is divided by 2285. 281 What is the remainder when 47001 is divided by 9398? 11 What is the remainder when 230094 is divided by 13? 7 What is the remainder when 36663 is divided by 611? 3 Calculate the remainder when 17536 is divided by 3501. 31 What is the remainder when 2582 is divided by 336? 230 Calculate the remainder when 132484 is divided by 44148. 40 Calculate the remainder when 9935 is divided by 696. 191 Calculate the remainder when 15951 is divided by 1328. 15 What is the remainder when 10284 is divided by 352? 76 Calculate the remainder when 37619 is divided by 2883. 140 Calculate the remainder when 3333 is divided by 3286. 47 Calculate the remainder when 32999 is divided by 1440. 1319 Calculate the remainder when 459041 is divided by 8. 1 Calculate the remainder when 5416 is divided by 14. 12 What is the remainder when 5335 is divided by 248? 127 Calculate the remainder when 7373 is divided by 1006. 331 Calculate the remainder when 30341 is divided by 8. 5 Calculate the remainder when 3512 is divided by 292. 8 Calculate the remainder when 412533 is divided by 97. 89 What is the remainder when 5946 is divided by 32? 26 What is the remainder when 282733 is divided by 547? 481 Calculate the remainder when 85633 is divided by 2762. 11 Calculate the remainder when 233617 is divided by 20. 17 Calculate the remainder when 25144 is divided by 8378. 10 Calculate the remainder when 2802 is divided by 68. 14 What is the remainder when 155935 is divided by 15? 10 Calculate the remainder when 395 is divided by 364. 31 What is the remainder when 3841 is divided by 94? 81 Calculate the remainder when 15274 is divided by 103. 30 What is the remainder when 20067 is divided by 26? 21 What is the remainder when 149434 is divided by 849? 10 Calculate the remainder when 1917 is divided by 567. 216 Calculate the remainder when 415490 is divided by 7. 5 Calculate the remainder when 22008 is divided by 756. 84 Calculate the remainder when 1194 is divided by 139. 82 Calculate the remainder when 2607 is divided by 57. 42 What is the remainder when 2079354 is divided by 409? 407 Calculate the remainder when 1280 is divided by 417. 29 Calculate the remainder when 190950 is divided by 37. 30 What is the remainder when 4155 is divided by 121? 41 What is the remainder when 2261 is divided by 20? 1 What is the remainder when 1302 is divided by 146? 134 Calculate the remainder when 18678 is divided by 3110. 18 Calculate the remainder when 2587 is divided by 682. 541 What is the remainder when 17426 is divided by 1036? 850 Calculate the remainder when 33552 is divided by 11178. 18 What is the remainder when 8699 is divided by 45? 14 What is the remainder when 45294 is divided by 89? 82 Calculate the remainder when 17086 is divided by 32. 30 What is the remainder when 10167 is divided by 19? 2 Calculate the remainder when 6894 is divided by 3415. 64 Calculate the remainder when 11029 is divided by 3652. 73 Calculate the remainder when 38032 is divided by 225. 7 Calculate the remainder when 1808 is divided by 39. 14 What is the remainder when 6438 is divided by 842? 544 Calculate the remainder when 2318 is divided by 284. 46 What is the remainder when 1218 is divided by 33? 30 What is the remainder when 108954 is divided by 36314? 12 Calculate the remainder when 10317 is divided by 1259. 245 Calculate the remainder when 1091823 is divided by 268. 259 What is the remainder when 3563 is divided by 38? 29 What is the remainder when 382009 is divided by 504? 481 What is the remainder when 28325 is divided by 19? 15 Calculate the remainder when 119296 is divided by 177. 175 Calculate the remainder when 17384 is divided by 388. 312 Calculate the remainder when 16687 is divided by 4169. 11 What is the remainder when 72031 is divided by 13? 11 What is the remainder when 10210 is divided by 211? 82 What is the remainder when 95217 is divided by 13? 5 What is the remainder when 2504 is divided by 120? 104 What is the remainder when 2765 is divided by 125? 15 What is the remainder when 5122 is divided by 349? 236 What is the remainder when 275 is divided by 23? 22 Calculate the remainder when 5137102 is divided by
{ "pile_set_name": "DM Mathematics" }
c**3). -3096*c**4 Expand (6 - 4 + 12)*(s**2 - 5*s**2 + 0*s**2)*(32 - 1 - 7)*(0 - 5 + 3). 2688*s**2 Expand (-3*t + 0*t + 2*t + (2 + 2 - 5)*(0*t - 2*t + t) + 2*t + 1 - 1)*(0 + 1 + 1 - 4 + 4 + 4 - 4 + 5 - 3 + (0 + 0 + 2)*(2 + 1 - 5) - 5 + 2 + 0). -6*t Expand ((-2 + 0 + 0)*(-2 + n + 2) + 19*n + 126*n + 231*n)*(6 - 4 + 0)*(6 - 2*n**4 - 7 + 5*n**4). 2244*n**5 - 748*n Expand (191*s**2 - 122*s**2 + 115*s**2)*(0 + 5 - 1). 736*s**2 Expand (-2*g**2 + g**2 + 0*g**2)*(14 - 14 - 7*g)*(51*g + 9*g + 58*g). 826*g**4 Expand -x**4 + 2*x**4 - 3*x**4 + (6 - 6 - 4)*(-27 + 17 - 106*x**4 + 11). 422*x**4 - 4 Expand (-129 + 55 - 119)*(-l - 4*l + 2*l)*(0*l + 3*l - 5*l). -1158*l**2 Expand (-11 - 11 + 11)*(-49 + 57 - 31)*(-2*r**5 + r**5 + 2*r**5). 253*r**5 Expand (-2*r + r + 6*r)*(-10 + 2*r + 9 - 45*r**4 + 46*r**4). 5*r**5 + 10*r**2 - 5*r Expand -25*s - 10199 + 5*s + 10191 + 7*s**2 + s**2 + 2*s**2 - 2*s**2 - 3 + 3 - s**2 + (s + 0*s + s)*(0*s + 0*s + 2*s). 11*s**2 - 20*s - 8 Expand 18*y + 13*y + 29*y + (4*y + 0*y - 2*y)*(3 - 1 - 3) - 3*y + 351 - 2*y - 335 + (0*y - 2*y + 0*y)*(1 - 4 + 1). 57*y + 16 Expand (-v**3 + v**3 + v**4)*((-25*v + 20*v + 53*v)*(0 + 4 - 2) - 40 + 40 - 25*v). 71*v**5 Expand -2*i**4 - 5*i + 5*i + (-3*i**2 + 0*i**2 - 2*i**2)*(0*i**2 - 3*i**2 + 5*i**2) + (-8 - 1418*i**3 - 1415*i**3 + 2829*i**3)*(3*i - 3*i - i). -8*i**4 + 8*i Expand (-35*u**4 + 48*u**3 - 48*u**3)*(-9 + 3 - 3)*(2*u - 2*u - 2*u)*(1 - 2 + 8). -4410*u**5 Expand (4*y + 3 - 3)*(2*y**2 - 4*y**2 + y**2) - 2874*y + 2874*y - 109*y**3. -113*y**3 Expand (0*u + 5*u - 3*u)*(3*u**4 + 2*u**4 - 6*u**4) - 29641*u**5 - 10734*u**5 + 22309*u**5. -18068*u**5 Expand (-27*f + 45*f + 67*f)*((-f**2 + 0*f + 0*f)*(2 + 2*f - 2) + 45*f**3 - 7*f**3 + 0*f**3). 3060*f**4 Expand (20 + 2 + 3)*(-5 - 16*g - 1 + 5). -400*g - 25 Expand (-4*r - 61 + 61)*(-4 + 3 + 0)*(-158*r - 46*r - 79*r). -1132*r**2 Expand r**5 - 4*r**5 + 2*r**5 + (48*r + r**4 - 48*r - 1 + (r**3 - 4*r**3 + 2*r**3)*(2*r + 19 - 19))*(5*r - 4*r + 25*r). -27*r**5 - 26*r Expand (-4 + 2 + 0)*(-8374*t**2 + 15926*t**2 - 8398*t**2). 1692*t**2 Expand -9*w**5 + 5*w**5 + 12*w**5 + (-1 + 3 + 3)*(w**2 - w**2 - 3*w**5) + (0*w**3 - 2*w**3 + 3*w**3)*(2*w**2 - 7*w**2 + 0*w**2) + 0*w**4 + 0*w**4 - 2*w**5. -14*w**5 Expand (-2*b**3 + 0*b + 0*b)*(2*b - 3*b + 3*b) - 7*b**4 - 12*b**4 + 12*b**4 + 5*b + (0*b**4 + 4*b**4 + 0*b**4)*(2 + 4 + 0). 13*b**4 + 5*b Expand 0*n + 4*n**5 + 0*n + (0*n**2 + n**2 + n**2)*(-4*n**3 - 14*n + 14*n) - n**5 + 4*n**5 + 2*n**5. n**5 Expand (-2*l + l + 0*l)*(-12 + 1 + 4)*(-1 - 2 + 1). -14*l Expand (4*u**3 - 28*u**3 - 11*u**3)*(u + 0*u + u)*(11 - 11 + 10*u). -700*u**5 Expand 2*t - 2*t - 2*t**2 + (t + 0*t + t)*(-6537 - 364*t + 24*t + 6539). -682*t**2 + 4*t Expand (0 + 7 - 2)*(-18*u - 10*u + 14*u). -70*u Expand (7*x + 3 - 7 + 2)*(-7*x**3 - 8*x**3 - 11*x**3) - x**4 - x**2 + x**2 - 2*x**4 + 0*x**4 + x**4 + (-2 + 2 - x)*(0*x**3 + 3*x**3 - 2*x**3) - 1 + x**4 + 1. -184*x**4 + 52*x**3 Expand (-4 - 1 + 6)*(3 + 5 + 0)*(-1613 + 1613 + 74*d)*(2 + 0 - 3) + (1 - 1 + 2)*(-1 + 1 - 3*d). -598*d Expand (396 + 709 - 144)*(-4*p + 4*p + 3*p**3). 2883*p**3 Expand (2*d + d - d)*(-d + 3*d - 3*d)*(-6231 + 1229 - 10894 - 1765 - 5903). 47128*d**2 Expand (143 + 231 - 42)*(3*g - 3*g + g**3) - g + g + 3*g**3. 335*g**3 Expand ((-4*i + 0*i + 2*i)*(-4 + 4 + 2*i) - 1933*i**2 + i - 3978912 - i + 3978912)*(4 + i - 4). -1937*i**3 Expand 2*k**4 + 4*k**4 + 0*k**4 + (10*k**4 - 23*k**4 - 66*k**4)*(2 - 3 + 0). 85*k**4 Expand 8 - 8 - 5*z**4 - 8*z**4 - 2*z**4 - 33*z**4 + (-6 + 3 + 4)*(-7*z**2 - 4*z**4 + 7*z**2). -52*z**4 Expand -f + 0*f - f - 2*f + 4*f + 0*f - 10 + 8*f + 10 + (-f - 2*f + 4*f)*(0 - 2 + 0) + 7*f - 5*f + 0*f. 8*f Expand (-49 + 49 - 3*w**2)*(-15 + 8 - 11 - 5). 69*w**2 Expand (1 + c - 1)*(13 + 24 + 24)*(0 - 2 + 1)*(-3 + 4 - 3). 122*c Expand (0 + 0 + j)*(-2 - 5213*j + 5140*j + 1)*(-2*j - j + 7*j). -292*j**3 - 4*j**2 Expand (3*v**2 + 3*v**2 - 4*v**2)*(408*v - 943*v - 601*v) - 4*v**3 + 3*v**3 - 3*v**3. -2276*v**3 Expand (d**3 + 2*d**3 - 46*d**3)*(0*d - 2*d + 0*d) - 2*d + d**4 + 2*d + d**4 - 2*d**4 + 4*d**4. 90*d**4 Expand (247 - 43 + 2*r + 23 - 2*r**2)*(-2*r - 3*r - 8*r). 26*r**3 - 26*r**2 - 2951*r Expand (-2 + 440*k**2 + 1 - 339*k**2)*((-2*k + 0*k + 4*k)*(-1 + 4 - 2) + 3*k + 4*k - 5*k) + k**2 - k**2 - k**3. 403*k**3 - 4*k Expand (23*j - 9*j - 60*j + 22 + 5)*(8*j + 0 + 0). -368*j**2 + 216*j Expand -l + 4*l - 2*l + (0*l - l + 0*l)*(1 + 2 - 4) + l - 3*l + 0*l - 3*l + l + l + (0*l + 0*l + 2*l)*(0 + 1 - 2) + (0 - 1 + 10)*(3 - 3 + 4*l). 33*l Expand -122*t**3 + 122*t**3 + 30*t**5 + (-2*t + 2*t + 2*t**2)*(-5*t + 3*t**3 + 5*t) - 12*t**4 + 7*t**5 + 12*t**4. 43*t**5 Expand -476*i**4 + 111*i**2 - 111*i**2 + 2*i**4 + 0*i + 0*i + (2*i**2 + 2*i - 2*i)*(-2*i**2 - 2*i**2 + 5*i**2). -472*i**4 Expand w**4 - 14 + 14 + (3*w**3 - 3*w**3 - w**3)*(0*w - w + 0*w) + 1145*w**2 - 574*w**2 - 466*w**2 + 2*w**4. 4*w**4 + 105*w**2 Expand (0*b**2 - 2*b**2 + 4*b**2)*(-2*b**2 + b**2 - 3*b**2)*(152 + 511 - 299 + 466 + 167). -7976*b**4 Expand (4244 - 10705 + 898)*(2*g - 4 - 4*g + 2). 11126*g + 11126 Expand 258*g - 590*g - 26*g - 2 + (-1 + 1 - g)*(2 - 4 - 3). -353*g - 2 Expand (-i**3 + 0*i + 0*i)*(66*i + 76*i - 217*i) + 4*i**3 - 4*i**3 - 5*i**4 + 2*i**4 - 3*i + i**2 - 56 + 56. 72*i**4 + i**2 - 3*i Expand (-2*k + k**2 + 2*k)*(77*k - 438*k + 96*k) + (-2*k**2 + 3*k - 3*k)*(k + 0 + 0) - 2*k**3 - 4*k**3 + 3*k**3. -270*k**3 Expand 3*r**4 - 3*r**4 - r**4 + (-4 - 757*r + 757*r - 13*r**2)*(r**2 + 1 - 1). -14*r**4 - 4*r**2 Expand (-l + 3*l - l)*(-1 + 3 + 1)*(214*l + 3*l**2 - 214*l - 50*l**4). -150*l**5 + 9*l**3 Expand (-113*d - 1719 + 1719)*(3*d + 2 - 2)*(3*d - 4*d + 5*d + (-d + 0*d - d)*(3 + 2 - 7)). -2712*d**3 Expand (-377 + 385 + l - 2*l**2 - 2*l**2 + (-2*l + 5*l - 2*l)*(l + 2*l - 2*l))*(-4*l + 4*l + 3*l**2). -9*l**4 + 3*l**3 + 24*l**2 Expand 542588 + 249*r - 542588 - r**2 - 2*r**2 + 3*r**2 + r**2 + (-r + 3*r + 0*r)*(3 - 3 + r). 3*r**2 + 249*r Expand ((2 - 4 + 3)*(-4*j + 8*j + 27*j)*(0 - 3 + 2) + (-j + 0 + 0)*(-2 - 2 + 7))*(17*j**3 - 55*j + 55*j). -578*j**4 Expand (210 - 316 - 201)*(-2 + 1 - 2)*(5*j**2 - 5*j**2 - j**3). -921*j**3 Expand -5*a**2 + 3*a**2 + 3*a**2 + (0*a + 0*a + 11*a)*(-2*a + 7 + 4 - 12). -21*a**2 - 11*a Expand (-502978 + 502978 + 5936*s)*(-4 + 2 + 1). -5936*s Expand (-u - 2*u + 4*u)*(4 - 2 - 4) - 2*u - 3 + 3 - 4*u + 7*u - 2*u + 0*u + 0*u + 2*u - 3*u + 4*u - 2*u - 1 + u + 1 + (573 + 772 + 2145)*(0*u + 0*u + u). 3489*u Expand (1 + 2 - 2)*(1430 - 35*d - 1430) + 1 - 1 + 2*d - 2 - d + 2 + (-2 + 2 - d)*(-1 - 3 + 6). -36*d Expand (-13*c + 9*c - 6*c)*(4 + 3 - 5)*(-c - c + 0*c)*(2*c - c - 12*c)*(0*c**2 - 2*c**2 - 3*c**2). 2200*c**5 Expand 3*k**2 - k**2 - 5*k**2 + 10*k - 10*k - 8*k**2 + (0*k + 4*k - 3*k)*(4*k + 4*k - 6*k) + k**2 - 15*k**2 - 16*k**2 + 2*k**2 - 3*k + 3*k. -37*k**2 Expand (192 + 177 + 213)*(w + 2*w + 3*w). 3492*w Expand (-351*r + 70 + 0*r**2 + r**2 + 353*r)*(-4*r - 2*r + 3*r)*(2 - 2 - 3*r). 9*r**4 + 18*r**3 + 630*r**2 Expand (30 + 20 - 5)*(h**5 + 1 - 1041*h**4 + 1041*h**4 + 30*h**3). 45*h**5 + 1350*h**3 + 45 Expand 2*b**3 + b**2 - b**2 + (-2*b + 0*b + 3*b)*(0*b**2 + 2*b**2 - b**2) + (6271*b + 7160*b - 8384*b)*(0*b**2 - 2*b**2 + b**2). -5044*b**3 Expand (9 - 18 + 4)*((1 - 4 + 5)*(2*i - 4 + 4) + 3*i - 4*i + 3*i) + (-2*i - 2*i + i)*(-3 + 3 + 1) + 3 + 6*i - 3. -27*i Expand 5*w**4 - 2*w**4 - w**4 + (-w - 2 + 2)*(2456*w**3 - 1274202*w**2 + 1274202*w**2). -2454*w**4 Expand (-4*c**5 - 2*c**5 + 7*c**5)*(2 - 2 - 1) + (-4*c + 4*c - 4*c)*(8*c**4 - 125 + 126 - 117*c**4). 435*c**5 - 4*c Expand (o + 0*o + 0*o)*(3 + 1 - 2)*(-6 + 0 - 4)*(11 - 2 + 20)*(6 - 2 - 3). -580*o Expand -431*b**4 - 1000078*b**2 + 1000078*b**2 - 4*b**3 + (b**2 - b**2 - 4*b**3)*(0 + 0 - b) + b**4 - 2*b + 3*b + b**4. -425*b**4 - 4*b**3 + b Expand (25 - 25 - 17*b**2)*(-11*b**2 + 3*b**2 - 8*b**2) - b**4 + 4*b**4 - 5*b**4. 270*b**4 Expand (2 - 2 + 2*f)*(-2*f - f + 2*f) - 21055*f**2 + 4996*f**2 + 0 + 0. -16061*f**2 Expand (2404*r**2 + 398*r**2 - 4818*r**2)*(-2*r**2 + 3*r**2 + r**2) + (1 + 2*r**2 - 1)*(r**2 + 1 - 1). -4030*r**4 Expand (868321*a**2 - 868321*a**2 + a - 27*a**3)*(4 - 2 - 6). 108*a**3 - 4*a Expand (-13*v - 20*v - 62*v)*(-v + 3 - 3) + (-3*v - 2*v + 4*v)*(0*v + v + v) + v**2 - 9*v**2 + 2*v**2. 87*v**2 Expand (-5 + 3 - 1)*(-z + z + 4*z**2)*(-2*z**3 - 4*z**
{ "pile_set_name": "DM Mathematics" }
he third biggest value? (a) 1.2 (b) 1 (c) -2/7 (d) 99 (e) 3 a Which is the fifth biggest value? (a) 1 (b) 0.1 (c) -0.2 (d) -1/12 (e) -1 e What is the third biggest value in 5, -1.643, 3? -1.643 What is the third smallest value in 1/3, -31, 1/10, -3, -2/7? -2/7 Which is the second smallest value? (a) -2/9 (b) -330/127 (c) 1/2 a Which is the second smallest value? (a) -0.4 (b) -40 (c) 3/5 a Which is the fourth biggest value? (a) -0.1 (b) -1 (c) -2/7 (d) -7/3 d Which is the smallest value? (a) -0.06 (b) 5 (c) -5 (d) 7/4 c Which is the second smallest value? (a) -2.14 (b) 0.5 (c) 0.3 c What is the third biggest value in -2/7, -5, -10? -10 Which is the fifth smallest value? (a) -3 (b) 0.05 (c) 1 (d) 0.02 (e) 0 c What is the smallest value in -4, -2, 2, 0.2, -8? -8 Which is the third smallest value? (a) 2 (b) -4 (c) 22 (d) -145 a Which is the second smallest value? (a) 0.22 (b) -0.2 (c) -2/9 (d) 4/5 b What is the biggest value in 0.035, -6, -2? 0.035 Which is the third smallest value? (a) 0.1 (b) -1/4 (c) 2/11 c What is the fourth smallest value in 1/7, 0.2, 1.5, 0.3, 3/4? 3/4 Which is the fourth biggest value? (a) 1 (b) -1 (c) 10.7 (d) -7 d Which is the fourth biggest value? (a) -4 (b) -4.4 (c) 1 (d) 5 b What is the fourth smallest value in 2/15, 0.01, -11, 43? 43 What is the third smallest value in 0.1, 0.3, -3, 194? 0.3 Which is the smallest value? (a) -5 (b) 0.02 (c) 1/7 a Which is the second smallest value? (a) -1/4 (b) 14/11 (c) -1 (d) 8 (e) 5 a Which is the fourth biggest value? (a) 7 (b) 4/9 (c) 2.1 (d) -2 (e) 5 b What is the third biggest value in 1/4, 2, -3, 0.9, 0.04? 1/4 What is the biggest value in 3/7, -10, 1/8? 3/7 What is the biggest value in -0.7, 5, -3.1? 5 Which is the smallest value? (a) 5/2 (b) -5 (c) 5/6 (d) -1 (e) 2 b Which is the biggest value? (a) 38 (b) -5 (c) 2 (d) -1 a What is the biggest value in 2/3, -0.1, -387? 2/3 Which is the fourth biggest value? (a) -2/7 (b) -1/2 (c) 3/10 (d) -1 d What is the fourth biggest value in 0, 4, -0.03, -1/11? -1/11 What is the biggest value in -2, -0.342, 0? 0 What is the smallest value in 4, 0.22, -5? -5 Which is the second biggest value? (a) 3.3 (b) 4 (c) 0.1 (d) -0.15 a Which is the second smallest value? (a) 2 (b) -2/11 (c) 5 (d) 3 a Which is the fourth smallest value? (a) 0 (b) 18/11 (c) -2 (d) 9 (e) -4 b What is the second smallest value in -1/2, -2, 0.53, -3? -2 What is the second smallest value in -2, -4/5, 811.5? -4/5 What is the second biggest value in -2, -2/3, -2/15, -1.19? -2/3 Which is the fourth smallest value? (a) 0 (b) -52 (c) 2/13 (d) -1/9 c What is the second smallest value in -10, 4, -5, 0.15? -5 Which is the second smallest value? (a) 0.5 (b) -7363 (c) 0 c Which is the smallest value? (a) 1 (b) -10 (c) -0.1 b What is the fourth smallest value in -2/7, 1/6, -1/3, 2/107? 1/6 Which is the second smallest value? (a) -2/5 (b) -3 (c) 62 (d) 1/48 (e) -5 b What is the third biggest value in 0.3, -1/2480, 2? -1/2480 Which is the second biggest value? (a) -5/2 (b) -0.37 (c) -2/9 (d) 1 (e) 1/5 e What is the third biggest value in -5, 1, -19? -19 Which is the fourth smallest value? (a) -2/7 (b) 1/9 (c) -3 (d) -116 (e) -2/3 a What is the third smallest value in -3, 0.2, -2, 2? 0.2 What is the third smallest value in -0.08, 4/7, -2/5? 4/7 Which is the fourth smallest value? (a) 1/2 (b) 3/2 (c) -0.1 (d) -0.04 b Which is the second smallest value? (a) -1/5 (b) 2 (c) -1.1 a What is the fourth biggest value in -19, -1/6, 0.2, 0.4? -19 What is the second biggest value in 0.1, -5/9, 0.3, -4? 0.1 Which is the second smallest value? (a) -0.1 (b) 1 (c) -4 (d) 79 a Which is the fifth smallest value? (a) -2 (b) -63 (c) 3/7 (d) -52 (e) 5 e Which is the second biggest value? (a) 30 (b) -1/4 (c) -2 (d) 1/35 d What is the smallest value in 15, -33, -4? -33 Which is the second smallest value? (a) 1384 (b) 4 (c) 1 b What is the third smallest value in 1, -0.3, 19? 19 Which is the smallest value? (a) -16 (b) -3/2 (c) -3 (d) 0.1 a Which is the third smallest value? (a) 5 (b) 4 (c) 5.18 (d) 7 c What is the smallest value in -0.1, 0.12, -5, -1? -5 What is the third smallest value in -1/2, -11/78, -2/3? -11/78 Which is the second biggest value? (a) 5 (b) -2/9 (c) -148 b What is the smallest value in -4, 2/41, -0.1? -4 Which is the biggest value? (a) 3 (b) -2/9 (c) 0 (d) 47/5 d Which is the third smallest value? (a) 0.5 (b) 0 (c) -2/83 a Which is the fourth biggest value? (a) -0.5 (b) 0 (c) -0.044 (d) 4 a Which is the third biggest value? (a) 1/6 (b) 131 (c) -0.3 c What is the fourth smallest value in 4, -0.2, 18, -3/80, 0.5? 4 What is the third biggest value in 2/41, -1, 1, 1/3? 2/41 Which is the second smallest value? (a) 0.03 (b) 9/2 (c) -3 a What is the smallest value in -3/4, -4, 1/7? -4 Which is the second smallest value? (a) 0 (b) 2 (c) -4/3 a What is the third smallest value in 1/6, -16, -3/5, 7? 1/6 Which is the biggest value? (a) 8/11 (b) -2/7 (c) 3 (d) 2 (e) -2 c What is the third smallest value in 4, -0.3, -0.146? 4 Which is the smallest value? (a) 0 (b) 2086 (c) 3 (d) -5 (e) -1/8 d Which is the second biggest value? (a) -3 (b) 2.1 (c) -0.1 (d) 5 b Which is the smallest value? (a) 1 (b) -1/6 (c) -2/3 (d) -3 d What is the smallest value in 1.61, 0, -1/8? -1/8 Which is the smallest value? (a) 8 (b) 7 (c) 5 c What is the biggest value in 3/2, 1/11, -1.1? 3/2 Which is the second smallest value? (a) -54 (b) -5 (c) -3 (d) 1 b What is the third smallest value in -0.4, -1/1403, -0.1, 0? -1/1403 What is the third biggest value in 0.5, 2, -5, -0.1, -2/33? -2/33 What is the biggest value in 34.6, -1, -3/2? 34.6 Which is the fifth smallest value? (a) -0.5 (b) 4 (c) 4/13 (d) -2/3 (e) 0.3 b What is the third biggest value in 0.01, -0.3, 10, -3/4? -0.3 What is the smallest value in 3, 3/38, 1/2? 3/38 Which is the second smallest value? (a) 2/19 (b) 1/4 (c) 0.4 (d) 4 b What is the biggest value in -5, 0.5, 5, 0.05? 5 What is the second biggest value in 0, 427, -0.2? 0 What is the biggest value in 5, -3.3, -1/26? 5 What is the second biggest value in -1/8, -0.3, 3300? -1/8 Which is the second biggest value? (a) -2 (b) 1.7 (c) -2/5 (d) 7/2 b What is the third biggest value in 2/87, -1/3, -2, -2/7, -0.3? -0.3 Which is the biggest value? (a) -28 (b) 0.3 (c) -1/4 b Which is the biggest value? (a) 0 (b) -20/23 (c) 0.3 c Which is the third biggest value? (a) 0.1 (b) -122/7 (c) -0.3 b Which is the third biggest value? (a) -1 (b) 1445 (c) -0.1 a Which is the third biggest value? (a) -2/57 (b) 0.7 (c) 2 a What is the third biggest value in 25, 0.06, 5/4? 0.06 Which is the fourth biggest value? (a) -2/13 (b) -4 (c) 5 (d) -1 b What is the biggest value in -16, -11, -0.02, 3? 3 What is the third biggest value in 0, 1.4, -237? -237 What is the smallest value in 33, 1.5, 0.4? 0.4 What is the second smallest value in -0.5, 3, -2/17, 2/21? -2/17 What is the third smallest value in -5, -0.04, 0.27? 0.27 Which is the second smallest value? (a) -0.09 (b) 2/7 (c) 4/7 (d) -5/6 a What is the third biggest value in 0.03, 0.29, 1/3? 0.03 What is the biggest value in -2, -4, -1062? -2 What is the fourth biggest value in -3, 2, -1, -1/4? -3 Which is the third smallest value? (a) 2/7 (b) -2 (c) 1.1 (d) -2/3 a Which is the smallest value? (a) -0.5 (b) -0.2 (c) -1/16 a Which is the third smallest value? (a) -5 (b) 1/4 (c) -0.3 (d) 92 (e) 1/3 b Which is the third biggest value? (a) 6 (b) -2 (c) -28 (d) 1 b Which is the biggest value? (a) -1818 (b) -2/7 (c) 3/2 c What is the third smallest value in 0.1, 17, -2/9, -4, -2/11? -2/11 What is the biggest value in 0.04, -3, -5, 1/7? 1/7 What is the third biggest value in 0, -6, 3/2? -6 Which is the fourth smallest value? (a) -1 (b) 3 (c) 127 (d) 0.1 c Which is the third biggest value? (a) 2 (b) -1 (c) 4 (d) 0.06 d Which is the biggest value? (a) 168 (b) -1 (c) 1/2 a Which is the second biggest value? (a) 6/7 (b) -0.2 (c) 5 (d) 0 a What is the smallest value in -9, 93, -4? -9 What is the fourth biggest value in -3, -1/5, -0.4, 7? -3
{ "pile_set_name": "DM Mathematics" }
e the third derivative of f(x). Give z(u(n)). 4*n**4 Let m(j) = 2*j. Let y(b) be the third derivative of -b**8/5040 - b**5/30 + 2*b**2. Let u(f) be the third derivative of y(f). Give u(m(r)). -16*r**2 Let x(t) = -t**2. Let y(j) be the third derivative of -257*j**5/60 + 3*j**2 - 5. What is x(y(d))? -66049*d**4 Let d(b) = 13*b**2. Let t(p) = -17665*p. Determine t(d(f)). -229645*f**2 Let p be 66/(-15)*20/(-8). Let h(r) = -r + 27 - p - 16. Let y(q) = q - 5. Let d(c) = 3. Let a(f) = 5*d(f) + 3*y(f). Determine h(a(j)). -3*j Suppose 5*v - 18 = 7, 4*u + 5*v = 37. Let h(g) = -3 + 4*g + u. Let i(c) = -3*c**2. What is h(i(r))? -12*r**2 Let p(m) = -13*m**2. Let o(b) = 15*b**2 + 6*b + 6. Let i(c) = -14*c**2 - 5*c - 5. Let g(d) = 6*i(d) + 5*o(d). Calculate g(p(a)). -1521*a**4 Let p(y) = -45*y + 48. Let o(f) = -629*f + 680. Let t(b) = -6*o(b) + 85*p(b). Let j(c) = 5*c**2. What is j(t(i))? 13005*i**2 Let b(d) be the second derivative of 3*d**3/2 - 182*d. Let u(m) be the first derivative of -2*m**3/3 + 3. Give u(b(k)). -162*k**2 Let p(n) = -24*n**2. Let l(b) be the third derivative of -3*b**5/20 + 2*b**2 - 85. Calculate l(p(q)). -5184*q**4 Let b(q) = -9*q - 5. Let n(y) be the third derivative of 0*y + 1/3*y**3 + 0 + 1/6*y**4 - 7*y**2. Let a(v) = -2*b(v) - 5*n(v). Let l(h) = -11*h. What is l(a(c))? 22*c Let l(v) = -v**2. Suppose 2*d - 5*u + 44 = 0, -u = -3*d - 6*u - 16. Let c = 8 - d. Let j(i) = -i - 20 + c. Determine l(j(z)). -z**2 Let a(l) = 3*l. Let o(g) = 10*g - 90. What is o(a(i))? 30*i - 90 Let h = -35 - -42. Let y(b) = 12*b - 25*b + h*b. Let i(d) = -4*d**2. What is i(y(u))? -144*u**2 Let d(h) = -3*h + 25. Let z(o) = 41*o**2 + 37*o**2 - 120*o**2 + 41*o**2. Give d(z(b)). 3*b**2 + 25 Let g(p) = 5*p + 7*p - 13*p. Let o(a) = 20*a**2 + 10*a. Let i(k) = -10*g(k) - o(k). Let b(d) = -d. Give b(i(j)). 20*j**2 Let a(w) = -4*w. Let l = 753/1498 - 2/749. Let y(o) be the first derivative of -6 + 0*o - l*o**2. Determine y(a(b)). 4*b Let r(q) = -5*q - 3. Let m(p) = -9*p - 5. Let d(t) = 3*m(t) - 5*r(t). Let c be (12/18)/((-1)/(-3)). Let l(o) = -c*o + 10*o - o. Calculate l(d(y)). -14*y Let l(k) = 494*k**2 + 3*k. Let w(s) = 495*s**2 + 4*s. Let a(z) = 4*l(z) - 3*w(z). Let r(y) = 2*y. Calculate r(a(f)). 982*f**2 Let o(s) = -1314*s**2. Let d(r) = -67*r**2. What is o(d(z))? -5898546*z**4 Let c(n) = 2*n. Let s(h) be the third derivative of -h**6/90 - 25*h**3/6 - 6*h**2. Let x(a) be the first derivative of s(a). Calculate x(c(k)). -16*k**2 Let f(k) be the second derivative of -k**3/6 + k. Let h(s) be the third derivative of 1/12*s**4 + 0 + 0*s + 0*s**3 + 9*s**2. Give h(f(d)). -2*d Let b(k) = -4*k**2 - 1. Let a(s) = 11*s - 4. Let i(v) = -30*v + 10. Let d(w) = 5*a(w) + 2*i(w). What is d(b(r))? 20*r**2 + 5 Let i(p) = 2*p**2. Let d(l) be the first derivative of l**2/2 - 11*l + 200. What is i(d(b))? 2*b**2 - 44*b + 242 Let y(c) be the first derivative of 23*c**3 + 4. Let x(j) = -2*j**2. What is x(y(r))? -9522*r**4 Let f(d) be the second derivative of d**4/6 - d. Let k be (-2)/(-4)*-4 - -9. Let i(u) = -k + 8 - 1 - 14*u. Give f(i(v)). 392*v**2 Let d(b) = 8*b**2. Suppose 11 = 3*a - 1. Let i(j) = 110 - 52 - 58 + a*j**2. Give d(i(w)). 128*w**4 Let w(q) = -15*q**2 + 36*q**2 - 33*q**2. Let s(a) = -a - 5. Let u(m) = m + 6. Let t(j) = -6*s(j) - 5*u(j). Give w(t(c)). -12*c**2 Let u(m) = -288*m**2. Let o(w) = 170*w - 45*w - 39*w - 47*w - 41*w. Calculate o(u(y)). 576*y**2 Let z(t) = 2*t**2 - t - 20. Let u(y) = 25*y. Calculate u(z(r)). 50*r**2 - 25*r - 500 Let z(v) = -42*v - 36*v - 42*v + 125*v. Let d(u) = u + 1. Let n(k) = k + 2. Let g(l) = 2*d(l) - n(l). Give g(z(b)). 5*b Suppose -4*m - 17 = 5*q - 2, 3*m - 2*q - 6 = 0. Let y(n) be the first derivative of m*n + 0*n**2 - 7/3*n**3 + 2. Let a(o) = -2*o**2. What is y(a(c))? -28*c**4 Let z(q) be the first derivative of -3*q**3 + 2*q**3 - 3 + 1. Let n(j) = -2*j + 5. Let o(p) = -2*p + 4. Let l(a) = 4*n(a) - 5*o(a). Calculate l(z(c)). -6*c**2 Let c(x) = x. Let m(h) = 17584*h**2. What is m(c(a))? 17584*a**2 Let h(t) = 0 - 2*t**2 + 0. Let m(o) = 8*o. Let y(i) = 9*i. Let r be ((-2)/3 + 1)/(3/54). Let b(z) = r*m(z) - 5*y(z). Give b(h(p)). -6*p**2 Let p(q) = -q**2. Let r(x) = 78*x + 2689. Determine r(p(w)). -78*w**2 + 2689 Let x(b) be the first derivative of -b**2/2 - 7. Let c = 393 + 88. Let u(j) = c + j**2 - 481. Determine u(x(i)). i**2 Let w(b) be the second derivative of -b**6/180 - 5*b**3/6 - b. Let c(p) be the second derivative of w(p). Let z(m) = -3*m**2. What is z(c(a))? -12*a**4 Let k(r) be the third derivative of -1/12*r**4 + 0*r**3 + 0 + 0*r - 6*r**2. Let w(h) = 39*h**2. Give w(k(p)). 156*p**2 Let w(a) = a. Let h(l) = -l**2 + 2*l + 2. Let o = 10 + -12. Let t(i) = -6*i**2 + 11*i + 11. Let u(q) = o*t(q) + 11*h(q). Calculate u(w(y)). y**2 Let a(i) = 3*i. Let u(d) be the third derivative of -10*d**2 + 0*d - 1/12*d**4 + 0 + 0*d**3. Calculate a(u(b)). -6*b Let u(g) = -4*g. Suppose -4*m - 3*o = -6*m + 17, 17 = 5*m + o. Let z(t) = -2*t. Let d(k) = -96 + k + 96 - 4*k. Let h(n) = m*z(n) - 3*d(n). Determine h(u(p)). -4*p Let t(l) = -l + 63. Let x(u) = -u + 21. Let a(y) = -2*t(y) + 7*x(y). Let v(h) = -h. What is v(a(m))? 5*m - 21 Let p(c) = 24*c. Let r(v) = -103*v + 5. Calculate p(r(a)). -2472*a + 120 Let z(j) = -17*j. Let g(u) = -66282*u. Give g(z(r)). 1126794*r Let a(i) = 68 - 135 + i**2 + 67. Let j(y) = -45*y. Give a(j(x)). 2025*x**2 Let w(c) = -4*c**2 - 3. Let s be (((-25)/(-20))/(2/(-8)))/(-1). Let p(o) = -3*o - s*o + 6*o. Determine p(w(r)). 8*r**2 + 6 Let g(k) = 2*k**2 + 0*k**2 - 10*k**2 - 6*k**2. Let h(d) = -1408934 - 2*d**2 + 1408934. Give g(h(r)). -56*r**4 Let n(m) be the third derivative of -5*m**4/6 - m**2. Let i(q) be the third derivative of 0 - 33*q**2 + 1/24*q**4 + 0*q**3 + 0*q. Determine n(i(w)). -20*w Let i(z) = -656274*z. Let x(k) = -2*k**2. Determine i(x(j)). 1312548*j**2 Suppose -q + 2*k = -2*q + 9, 3*k - 12 = -q. Let n(r) = 31 - 31 + q*r. Let j(a) be the third derivative of a**5/20 + 7*a**2. Determine n(j(v)). 9*v**2 Let b(x) = -5*x. Let w(k) = -18*k**2 + 36*k + 12. Let u(n) = n**2 - 3*n - 1. Let d(l) = -36*u(l) - 3*w(l). Give b(d(j)). -90*j**2 Let k(m) = -73*m. Let x(l) = 10*l**2 - 3*l**2 - l**2 - 4*l**2. Determine k(x(j)). -146*j**2 Let x(d) = -2*d. Let t(f) = -2*f - 4. Let q(k) = -5 - 1 + 8. Let v(l) = 4*q(l) + 2*t(l). Calculate x(v(h)). 8*h Let n(c) be the second derivative of -2*c**4/3 - 17*c. Let g(h) = -h**2. Let k(z) = 18*g(z) - 2*n(z). Let p(d) = 6*d**2. Give p(k(j)). 24*j**4 Let h(u) = -143*u. Let d(n) = -4. Let l(o) = -o - 16. Let a(p) = -4*d(p) + l(p). Determine a(h(b)). 143*b Let l(a) = -2722 + 1359 + 1362. Let k(o) = 0*o + 4*o - 3*o + 1. Let c(x) = -k(x) - l(x). Let n(w) = 25*w. Calculate c(n(g)). -25*g Let t(o) = o**2. Let g(c) = -945*c**2 + 24. Determine t(g(a)). 893025*a**4 - 45360*a**2 + 576 Let k(j) = -j**2. Let n(u) = 41*u**2 - 5*u - 2606. Calculate n(k(o)). 41*o**4 + 5*o**2 - 2606 Let f(g) = 3571*g. Let h(i) = 19*i**2. Give h(f(d)). 242288779*d**2 Let v(z) be the third derivative of -z**4/24 - 260*z**2. Let j(f) = -27*f + 4. Calculate v(j(n)). 27*n - 4 Let x(f) = 7*f. Let y(m) be the second derivative of -m**4/12 - m + 2. Give x(y(h)). -7*h**2 Let a(g) = -4*g**2 - 2*g + 2. Let f(w) = -3*w**2 - 2*w + 2. Let u(k) = 2*a(k) - 2*f(k). Let y(o) = -2*o**2 - 16. Determine u(y(j)). -8*j**4 - 128*j**2 - 512 Let q(a) = 19*a + 4. Let r(j) = 4*j + 286. Give r(q(i)). 76*i + 302 Let q(x) = 23*x. Let w(h) = 461*h - 229*h - 234*h. Calculate q(w(a)). -46*a Suppose -2*i + 20 = 2*i. Suppose i*q - 4*q - 5 = 0. Let g(s) = s + 2*s - q*s + 5*s. Let t(f) = -3*f. Determine t(g(y)). -9*y Let s(i) = -9*i. Let k(h) be the third derivative of -7*h**5/30 - 75*h**2. Calculate s(k(u)). 126*u**2 Let r(s) = -9420*s**2. Let p(x) = -2*x - 3. What is r(p(z))? -37680*z**2 - 113040*z - 84780 Let c(z) = -1619*z**2. Let m(b) = -4*b**2. What is c(m(g))? -25904*g**4 Let z(u) = -3*u**2. Let m = -53 + 55. Let p(t) = -5*t**2 + 2*t**m - 3*t**2. Determine p(z(b)). -54*b**4 Let i = 10 - 4. Let o = 8 - i. Let j(x) = 4*x**2 - o + 2 - 6*x**2. Let d(f) = -f**2. Determine d(j(v)). -4*v**4 Let i(j) = -10*j. Let n(q) = -2*q**2 + 12*q - 8. Let p be n(7). Let b = p + 39. Let x(t) = b*t - 9*t - 6*t. Calculate x(i(m)). -20*m Let g(v) = 30*v. Let u(o) be the third derivative
{ "pile_set_name": "DM Mathematics" }
ound q to 3 decimal places. 0.004 Let f = -22 + 49. Let u = -30963.9984 + 30937. Let x = f + u. Round x to three decimal places. 0.002 Suppose 3*o + 0*o = -30. Let w be 25 + 0/3 + 4. Let v = w - o. What is v rounded to the nearest 10? 40 Let q(s) = 2*s**2 + 36*s + 49. Let u(g) = -g**2 - 18*g - 25. Let d(o) = -3*q(o) - 5*u(o). Let w be d(-7). What is w rounded to the nearest ten? 60 Let p = 19.8 + -19.7994561. What is p rounded to 5 decimal places? 0.00054 Let p = 807672636560 + -807671611390.9999984. Let y = p + -1025166. Let d = 3 - y. Round d to 6 dps. -0.000002 Let u = 71.687 + -1.587. Let x = u - 73. Round x to 1 dp. -2.9 Let p(b) = b - 5. Let s be p(8). Let o(c) = 6000*c. Let v be o(s). What is v rounded to the nearest 1000? 18000 Let u = -8.095 - -8. Let p = u - -0.09449. What is p rounded to four dps? -0.0005 Let s be (-12)/28 + (-741964)/(-14) - -3. What is s rounded to the nearest ten thousand? 50000 Let b = 1288962 + -1288991.99966. Let s = -30 - b. Round s to four decimal places. -0.0003 Let r = -0.381 - -0.4. Let a = r - 0.019016. What is a rounded to 5 dps? -0.00002 Let d = -23877 - -23877.37763. Let j = 0.376 - d. What is j rounded to 3 dps? -0.002 Let a(t) = 404*t**2 + 9*t + 6. Let l be a(7). Let u = l - 1865. Round u to the nearest ten thousand. 20000 Let b = -81560 + 34360. What is b rounded to the nearest 10000? -50000 Let v = 311.01032 + -311. Round v to three dps. 0.01 Let y = 31 + -28. Let b = 7 - y. Suppose 0 = b*r + 2*a - 25599992, -r + 4*r - 3*a - 19200012 = 0. Round r to the nearest one million. 6000000 Let b = 23236 + -9551. Let h = b - 13684.85994. Let r = 0.14 - h. Round r to four decimal places. -0.0001 Let k = -70.1 - -4.9. Round k to 0 dps. -65 Let z = 171466.803101 + -171467. Let u = z - -0.197. What is u rounded to 5 dps? 0.0001 Let a = 76516881 - 76516859.00000071. Let h = a - 22. What is h rounded to 7 decimal places? -0.0000007 Suppose 0 = -4*i + 4*c - c - 6, 4*i + 2 = c. Suppose 2*u = -i*u + 7168. Let x be (u/(-21))/((-1)/(-375)). What is x rounded to the nearest 10000? -60000 Let h = -22.11 - -0.11. Let j = 37 + h. Let g = j - -2.3. What is g rounded to the nearest integer? 17 Suppose -33 = 2*b - 113. Let d be b*(-1)/((-10)/756). Suppose -876 = 3*p + d. What is p rounded to the nearest one thousand? -1000 Let j = 322 + -321.99999661. Round j to seven decimal places. 0.0000034 Let x = -10876 + 7286. What is x rounded to the nearest one thousand? -4000 Let s = -53 - -52.9976905. What is s rounded to four decimal places? -0.0023 Let g = 0.3009 + 152.7991. Let d = -153.099369 + g. What is d rounded to 5 decimal places? 0.00063 Let f = -1337.001697 + 1337. Round f to 4 dps. -0.0017 Let a = -695 + -4842. Let g = a + 5545.0055. Let u = g + -8. What is u rounded to 3 decimal places? 0.006 Let a = 0.25218488 - 1.30218419. Let z = 1.05 + a. Round z to 7 decimal places. 0.0000007 Let s = 48.3 - 623.3. Let x = 575.00231 + s. What is x rounded to 4 decimal places? 0.0023 Let r = -0.01445319 - 70.98603681. Let k = r + 71. What is k rounded to 4 dps? -0.0005 Let p = 7795.006591 - 7795. What is p rounded to three decimal places? 0.007 Let o = 0.37 + -0.41. Let a = -5.13215088 + 5.17215. Let t = a + o. Round t to 7 dps. -0.0000009 Let l = -2093973465 + 1424757329. Let u = 669216172.1999739 + l. Let p = -36.2 + u. What is p rounded to 6 dps? -0.000026 Let p = 7 - 9. Let v(u) = 1808*u**2 - 3*u - 2. Let q be v(p). Suppose 2*y = q + 8764. What is y rounded to the nearest one thousand? 8000 Suppose -11 = -3*f - 32. Let z(g) be the third derivative of 9107*g**4/3 - 4*g**3/3 + 5*g**2 - 23*g. Let y be z(f). Round y to the nearest 100000. -500000 Suppose 4284 = 5*n + 774. Suppose 11 + 1 = 4*k. Suppose k*s - 231 + n = 0. What is s rounded to the nearest 10? -160 Suppose 14*h = -43473 + 3573. Round h to the nearest 1000. -3000 Let k = -5 - -5. Suppose -5*q + s - 9997 = k, -3*s = -5*q + 4*q - 1991. Round q to the nearest 1000. -2000 Let q = -43552.958244 + 43470.958. Let p = q - -82. What is p rounded to 5 decimal places? -0.00024 Let s(i) = -i + 8. Let m be s(7). Let x be (0 + 3/m)/(-1). Let c be 1/(x/63006) - -2. Round c to the nearest ten thousand. -20000 Let l = 46 + -48.6. Let z = -2.59972 - l. Round z to 5 decimal places. 0.00028 Let p = -16.7 - -42.5. Let z = 35 - 16. Let l = z - p. What is l rounded to zero decimal places? -7 Suppose 7*t - 25584 = 3*t. Let n(h) = 1190*h + t*h + 5 + 7015*h. Let i be n(-5). What is i rounded to the nearest 10000? -70000 Let h be ((-12)/18)/((-6)/9) + 8879. What is h rounded to the nearest 1000? 9000 Let y = -47.2 + 8.2. Let t = -39.39 - y. Let b = -0.39022 - t. Round b to five dps. -0.00022 Suppose 4*t - 2285 = 5*t. Suppose 5*g + 2735 = -n - 3*n, 0 = -4*n - g - 2739. Let m = n - t. Round m to the nearest 1000. 2000 Let z = 1.455 - 1.39. What is z rounded to 2 dps? 0.07 Suppose 5*s = -2*u - 242 - 322, 2*u - 4*s = -564. Let g(z) = z**2 - 7*z + 4. Let p be g(6). Let y be (13 - p)/(9/u). What is y rounded to the nearest 100? -500 Let z = -80736 + 57336. What is z rounded to the nearest 10000? -20000 Let p = 0.086 - 0.656. Let g = 0.570000122 + p. Round g to 7 dps. 0.0000001 Let u = -105 - 33. Let a = 138.0000198 + u. Round a to 6 decimal places. 0.00002 Suppose 4*x - 331499992 = -0*j + 5*j, -2*j = 5*x + 132600010. Round j to the nearest one million. -66000000 Let o = -1252100.9400244 - -1252100. Let z = o - -0.94. Round z to six dps. -0.000024 Suppose -10*h - 3727441 + 9921441 = 0. What is h rounded to the nearest 10000? 620000 Let s = 21.24611 + -21.23. What is s rounded to four decimal places? 0.0161 Let l = 4.999052 + -5. What is l rounded to five decimal places? -0.00095 Suppose 46205774 = -2*o - 38714226. What is o rounded to the nearest one million? -42000000 Let i = -8 + 10. Suppose 4*o - i*k = -k, 5*o = -4*k. Let n be (2 - 2) + o + 630. What is n rounded to the nearest one hundred? 600 Let j = 31 - 34. Let m be 6599997 + (5 - (-1 - j)). What is m rounded to the nearest 1000000? 7000000 Let b = 1786.97613 + -1778.976. Let a = -0.2 - -8.2. Let h = b - a. Round h to 5 dps. 0.00013 Let k = -105.963 - 0.737. Round k to the nearest 10. -110 Let o = 403600.5 + -508362. Let g = 104756.29971 + o. Let q = g - -5.2. What is q rounded to four dps? -0.0003 Let w = -126191571 + 126191618.9999848. Let c = -48 + w. Round c to six decimal places. -0.000015 Let d = 130 - 6. Let z = d + 38. Let m be z/12*3*-40. What is m rounded to the nearest one hundred? -1600 Suppose -3*v = -17898 - 10902. Suppose -5*y + 9*y + v = 0. What is y rounded to the nearest one thousand? -2000 Let p = -94 - -26. Let b = 70.47 - 137.44. Let a = p - b. What is a rounded to one decimal place? -1 Let x = -20.443 - 6.613. Let q = x - -27. Let j = q - 4.744. What is j rounded to the nearest integer? -5 Let o = -4.5032 + -0.0968. Round o to the nearest 10. 0 Suppose -3140 = -30*b + 12850. What is b rounded to the nearest one hundred? 500 Let a = 380.9997482 - 381. Round a to five decimal places. -0.00025 Let r be 18/(-21) - (-2156006)/7. Round r to the nearest 10000. 310000 Let x = 0.448969 - 0.4534. Round x to 3 dps. -0.004 Let c = 0.090532 + -0.09. Round c to 4 dps. 0.0005 Let z = 12.4 + -16. Let i = -1.8 + z. Round i to the nearest integer. -5 Let v = -357 - -356.9999752. What is v rounded to five dps? -0.00002 Let y(r) = 246*r + 58. Let l be y(22). Round l to the nearest one thousand. 5000 Let m = 0.27999538 + -0.28. What is m rounded to seven dps? -0.0000046 Let d = -2897376027202.0000056 - -2897374077465. Let k = 1949730 + d. Let m = -7 - k. Round m to six dps. 0.000006 Let d = -1257355 - -1257253.99939. Let u = 101 + d. Round u to 4 dps. -0.0006 Let a = 132.00007884 + -132. Round a to five dps. 0.00008 Let u = 13 - 9. Suppose 4*q - 8829420 = -0*r + r, q + u*r - 2207338 = 0. Suppose 2192646 + q = 4*n. What is n rounded to the nearest one million? 1000000 Let t = 85.65 - 64.9. Round t to the nearest integer. 21 Let f = -0.372 - -0.3. Let j = 4.6869818 + -4.759. Let u = j - f. Round u to 6 decimal places. -0.000018 Let u(t) = 53402*t**2 - 4*t + 152. Let s be u(-14). What is s rounded to the nearest one million? 10000000 Let c be ((-1476)/24)/((-1)/8). Let l be ((-6)/(-8))/((-1971)/c - -4). Round l to the nearest 10. -120 Let n(l)
{ "pile_set_name": "DM Mathematics" }
be (-64)/(-20) + l/10. Let p(h) = -3*h**2 - 3*h**i - h**2 + 4*h**3. Determine p(4). 0 Let f be 2/2 + 4/1. Let d(u) = -u + 3. Determine d(f). -2 Let p(c) = -c. Let l be p(-3). Let t = l - 8. Let r(i) = i**2 + 4*i - 3. Calculate r(t). 2 Let n(i) be the third derivative of -i**6/120 + i**5/10 + 7*i**4/24 - i**3/2 + 18*i**2. Determine n(7). -3 Let a(m) be the third derivative of 1/24*m**4 + 1/6*m**3 + 0*m + 0 + 2*m**2. Determine a(5). 6 Suppose -116 = -4*v + 4*l, 2*v - l + 91 = 6*v. Suppose t - 5*j + v = 0, 4*t - 4*j = -2*j - 24. Let r(q) = -4*q + 4*q + q**2 - 5. What is r(t)? 11 Let q(v) be the first derivative of 7*v**2/2 + 2. Let g = -9 - -13. Suppose 4 + 0 = g*f. What is q(f)? 7 Suppose 14 = 3*t + 5. Let u(j) = j**2 - 3*j + 1. Calculate u(t). 1 Let p be (-14 - -18) + 2/2. Let f(h) = -h**2 + 4*h + 2. Determine f(p). -3 Let b(v) be the third derivative of -v**6/120 - v**5/10 - v**4/3 - 2*v**3/3 + 22*v**2. What is b(-5)? 11 Let h(z) = z - 1. Let n(r) = r - 5. Let q(k) = -k + 1. Let d be q(-4). Let b be n(d). Calculate h(b). -1 Let g(b) = b**3 - b + 1. Let k be g(0). Suppose 18 - 6 = 3*t. Let m(r) = 2 - 1 - 2 - t*r. Determine m(k). -5 Suppose -2*i - 4 - 6 = 0. Let z(t) = -46*t - 4 + 45*t - 1. What is z(i)? 0 Let i(a) = -a + a**2 - 2*a**2 + 137 - 137. Suppose 3*c = -2*c. Calculate i(c). 0 Let y(o) = -o + 5. Let u(q) = q**2 + 2*q - 9. Let b be u(-5). Give y(b). -1 Let y(q) be the first derivative of q**4/4 + q**3 - q - 7. Determine y(-1). 1 Let a(h) = -h + 4. Let k(o) = -4*o**3 - 6*o**2 + 6*o + 1. Let u(d) = 9*d**3 + 13*d**2 - 13*d - 1. Let x(z) = -7*k(z) - 3*u(z). Let y be x(-3). Determine a(y). -1 Let j(w) = -2*w**3 + 5*w**2 - 4*w. Let a be j(2). Let u(n) = -4*n**2 + 7*n - 7. Let z(x) = 2*x**2 - 4*x + 4. Let g(r) = a*u(r) - 7*z(r). Determine g(2). 8 Let p(h) = 2*h - 4. Let r be (-20)/2*((-33)/(-6))/(-11). What is p(r)? 6 Let b(y) = -y**2 + 2*y - 1. Suppose -2*t + 2*l = -6, -3*l + 21 = 5*t - 2*l. What is b(t)? -9 Let v(j) = j - 1. Let i(p) = 2*p - 7. Let r(w) = -i(w) + 6*v(w). Let d be r(-1). Let b be 14/4 - d/(-6). Let z(h) = -h**2 + 5*h + 1. Determine z(b). 7 Suppose 4*g - 8 = 0, 5*g = 3*k + 2*g - 6. Let f(l) = -l**3 + 3*l**2 + 5*l - 6. Determine f(k). -2 Let h(t) be the second derivative of 1/6*t**4 + 0 - 1/6*t**3 - t**2 - t. What is h(-2)? 8 Suppose a - 1 = 8. Let z = a - 4. Let h(g) = -4*g - 9. Let f(p) = p + 1. Let x(o) = -5*f(o) - h(o). Determine x(z). -1 Let z(g) = -6*g**2 + 10*g + 4. Let m(d) = -7*d**2 + 11*d + 4. Let a(u) = -5*m(u) + 6*z(u). Calculate a(6). -2 Let p be 3/6 + 2 + 2/(-4). Let s(v) = 4*v**2 - 2*v. What is s(p)? 12 Let p(h) = 7*h - 5*h**2 + 4*h**2 + 0*h**2 + 7 + 2*h**2. What is p(-6)? 1 Let l(c) = -c**2 + 5*c + 7. Let s(j) = -j**2 + 4*j + 8. Let a be s(7). Let h = -7 - a. Determine l(h). 1 Suppose 5*d + 10 = -2*p, -d = 3*p + p + 2. Let x(v) be the second derivative of -v - 2*v**2 - 1/6*v**3 + p. What is x(-5)? 1 Let a(y) = 5*y. Let c(d) = 3*d - 7. Let u be c(5). Let p = -37 - -44. Let k = p - u. What is a(k)? -5 Let x(y) be the third derivative of -y**6/120 - y**5/12 + y**4/4 + 7*y**3/6 - 6*y**2. What is x(-6)? 7 Let l(d) = d**3 - d - 2. Let z be (-4)/4*(4 - 6). What is l(z)? 4 Let q(r) = 3*r**2 + 8*r + 7. Let m(t) = t**2 - 21 - 9*t**2 - 5*t + 5*t - 23*t. Let j(b) = 4*m(b) + 11*q(b). What is j(6)? 5 Let f be (0 - -2)/((-2)/3). Let a(u) = u - 1. Calculate a(f). -4 Let q(h) be the third derivative of -h**5/60 - 5*h**4/24 - 2*h**3/3 - 3*h**2. Calculate q(-5). -4 Let m(t) = t**2 - 7*t - 1. Let z be 15/(-1)*(-3)/9. Calculate m(z). -11 Let k(z) = -z**2 + 8. Suppose -5*r + 8 = -7. Suppose -2*c = -r*c. Give k(c). 8 Let l(j) = j**3 - 2*j**2 - 6*j - 7. Let z(i) = i**2 + 1. Let r(h) = -l(h) - 5*z(h). Let w(g) = 4*g. Let t be w(-1). Calculate r(t). -6 Let y(b) = -13*b + 14. Let s(n) = 6*n - 7. Let g(i) = -9*s(i) - 4*y(i). Calculate g(8). -9 Let y(q) = -2*q - 2. Let s(h) = h - 2*h + 3 + 3*h. Let u(r) = 4*s(r) + 6*y(r). Let l(t) = -t**3 + 4*t**2 - t - 4. Let g be l(3). What is u(g)? -8 Let j(a) be the third derivative of a**8/6720 + a**7/504 + a**6/360 - a**5/30 + a**4/12 - 7*a**2. Let m(n) be the second derivative of j(n). Give m(-3). 8 Let m = -22 - -16. Let y(v) = -v - 5. Let j be y(m). Suppose 0 = -0*g + g - j. Let d(a) = -3*a + 1. Determine d(g). -2 Let n(x) = x**2 + 10*x - 20. Let t be n(-12). Let l(b) be the third derivative of -1/3*b**t + 0 + b**2 + 1/60*b**5 + 0*b + 5/6*b**3. Determine l(6). -7 Let v(p) = -2*p**2 + p + 3. Suppose 0 = -3*g + 4*g - 4. Let f be (-10)/g*(-18)/15. Give v(f). -12 Suppose -3*h = -3*n + 9, -n = -5*h - 5*n + 30. Let f(g) = -2*g**3 + g - 4. Let t(b) = 3*b**3 - 2*b + 5. Let p(y) = 4*f(y) + 3*t(y). Determine p(h). 3 Let t(g) = 7*g + 1. Let i(b) = 15*b + 1. Let q(n) = 4*i(n) - 9*t(n). Calculate q(-4). 7 Let n(j) = -j**3 + 3*j**2 + 2*j - 4. Let i be (-39)/(-15) + 4/10. Give n(i). 2 Let w(o) = -3*o - 10. Let k be w(-7). Let v = k + -5. Let g(b) = -b + 2. Give g(v). -4 Let d = -78 + 78. Let q(r) = r + 9. Give q(d). 9 Let s be (-1)/((-36)/39 - -1). Let p = s - -20. Let f(h) = h**3 - 6*h**2 - 8*h + 1. Calculate f(p). -6 Let n(v) = 2*v - 6. Let k be n(4). Let b(i) = -2 - 2*i + k*i + 2*i. Give b(4). 6 Let o(z) = z + 7. Let t be o(-5). Let k(n) = -n**t - 2 - 6*n - 2*n - 2. Let h be k(-8). Let v(f) = f**2 + 4*f + 1. Determine v(h). 1 Let m(a) = -7*a - 23. Let o(b) = -3*b - 12. Let t(f) = 4*m(f) - 9*o(f). Give t(0). 16 Let a(q) be the first derivative of 0*q - 1/2*q**2 - 1/8*q**4 - 2 - 1/60*q**5 + 2/3*q**3. Let g(v) be the second derivative of a(v). Calculate g(-5). -6 Let d be 3 - 2 - (-5 - -3). Let i(b) = 2*b**2 + d*b + 0*b**2 + 0*b**2. Give i(-2). 2 Let u(s) = 3*s**3 - 11*s**2 - 4*s + 14. Let f(j) = -7*j**3 + 23*j**2 + 9*j - 29. Let r(q) = 2*f(q) + 5*u(q). Calculate r(9). -6 Let q = -1 - -4. Let v(l) = 2*l**2 + 0*l**2 - q + 2 + 2*l. Determine v(2). 11 Let y(z) be the third derivative of -z**6/120 + z**5/10 + 7*z**4/24 + z**3/2 - z**2. Let l be (1/(-1))/(12/(-84)). What is y(l)? 3 Let z(l) = -5*l + 7. Let i be z(2). Let j(k) be the second derivative of -k**5/20 - k**4/4 + k**3/6 + k**2/2 + 2*k. Give j(i). -2 Let d(t) be the first derivative of t**3/3 + 3*t**2 + 7*t + 3. Calculate d(-6). 7 Let k(f) = -10*f**3 - f**2 + f + 1. Let m be 4*(-1)/((-4)/(-7)). Let h(v) = v + 4. Let w be h(m). Let b be (w + 2 - 0)*1. Determine k(b). 9 Let q(o) be the third derivative of 0 - 1/12*o**4 - 7/6*o**3 + 4*o**2 + 0*o. Calculate q(-5). 3 Suppose 0 = 2*g - 3*s, 5*s - 6 - 4 = 0. Let f(d) = -4 + g + 2*d - 4*d. What is f(2)? -5 Let k(z) be the third derivative of z**6/120 - z**5/5 + 5*z**4/12 + 8*z**3/3 - 32*z**2. Calculate k(11). 5 Let r(h) = 8*h - 1. Let b(f) be the third derivative of 5/24*f**4 + 1/12*f**5 + 1/120*f**6 + 0*f + 0 - f**2 + 1/2*f**3. Let t be b(-4). Give r(t). -9 Let w(i) be the first derivative of -1/6*i**4 + i - 2/3*i**3 + 0*i**2 - 1. Let h(q) be the first derivative of w(q). Calculate h(-3). -6 Let w(a) = -2 - 1 - a + 2*a. Let c be w(2). Let m(p) be the first derivative of -p**2/2 + 19. What is m(c)? 1 Suppose 2 = -5*z + 12. Let i(v) = -3 + 0*v**2 - 4*v - v**2 + z*v. Let x = 3 + -5. Determine i(x). -3 Let m be (3 - 0 - -3) + -4. Let g(a) = -6 + 1 + a - m + 4. Let b be (-4)/(-6) + 13/3. Give g(b). 2 Let i(q) = -q**3 + q - 8. Let a(x) be the second derivative of x**4/12 - x**3/2 + x. Let n be a(3). Determine i(n). -8 Let w be 3/((-3)/(-2) + -1). Let m(g) = -6*g**3 + 6*g**2 + 2*g - 6. Let v = -5 - -10. Let i(p) = p**3. Let f(j) = v*i(j) + m(j). Give f(w). 6 Let x(b) = 5 + 9*b - 2 - 2. Let k(a) = a**3 + 23*a**2 + 21*a - 21. Let f be k(-22). Determine x(f). 10 Let z(j) = -j**3 - 3*j + 4 - 3*j**3 - 4*j - 6*j**2 + 5*j**3. Determine z(7). 4 Let q(v) = -v**3 - v**2 - 3*v - 2. Let t be q(-2). Let d(n) = n - 10. Give d(t). -2 Let k(m) be the third derivative of 7*m**4/24 + 5*m**3/6 + 2*m**2. Let t(u) = -3*u - 2. Let z(n) = 4*k(n) + 9*t(n). Calculate z(-5). -3 Suppose 5*j - 2*v - 5 = 0, 3*v - 13 = -j + v. Suppose -31 = -5*g + 4*m, -4*g = -2*m - 10 - 10. Let a(t) = g*t - 4*t**2 + 3*t**2 + t + 1. Determine a(j). 4 Let i = 146 - 147. Let o(c) = 15*c**3 - 6*c**2 + 8*c + 11. Let j(t) = 5*t**3 - 2*t**2 + 3*t + 4. Let h(f) = 8*j(f) - 3*o(f). Give h(i). 6 Let d(i) = i**3 - i**2 + i + 8. Let h = -3 + 3. Determine d(h). 8 Let n(s) = s*
{ "pile_set_name": "DM Mathematics" }
- 11. Which is smaller: -2/25 or l? l Suppose 2*g = -j - 7, 0 = 4*j - 4*g - 9 - 23. Suppose -j*a - 2*v + 3*v + 13 = 0, 4*a + 4*v = 28. Which is greater: a or -1? a Let s = -20 + 18. Is s less than 2? True Let f be ((-22)/(-20)*4)/(1/(-5)). Which is greater: f or -23? f Suppose -3*v = -9*l + 4*l - 21, 5*v - 35 = l. Suppose v*u - 2*u = -t - 22, -t - 4*u - 17 = 0. Suppose t*n + 2 + 1 = 0. Which is bigger: n or 1? 1 Suppose d = -2*i - 10, 5*i + 10 = d - 1. Let v(x) = -x**3 - 3*x**2 + 1. Let n be v(i). Suppose 2*o = n + 1. Is o greater than or equal to 1? True Let x = 19 - 29. Let n = x + 11. Let j = -0.4 + 0.2. Which is smaller: j or n? j Let b = -101/60 - 1/15. Which is greater: b or -2? b Suppose -10 = -2*k - 0*k. Suppose w + 2 = -k*h - w, -5*w + 24 = -2*h. Let f be 4*-1*h/(-4). Which is smaller: f or -3? -3 Let b be (-2)/1 - (-65434224)/(-494). Let y = -132459 - b. Let v = y - 15/19. Which is greater: -1 or v? v Let r = -137 + 1229/9. Suppose 2*k = -0*k. Which is smaller: r or k? r Let h be (8/10)/((-1)/(-5)). Suppose -5*l - 17 = -n, -3*n - n = -h*l - 20. Let s be (-5 - 46/(-10))*(-6)/4. Which is smaller: s or n? s Suppose -5*q + 3*a + 10 = 0, -6*a - 24 = 4*q - 2*a. Let g = 512/17 + -30. Which is smaller: q or g? q Let u = -69 - -69.1. Is u <= 1.6? True Suppose -18 = -4*s + 2. Suppose -3*r = s*d - 0*d + 25, -3*d + 2*r + 4 = 0. Let k be (6/9)/(12/(-9)). Is k not equal to d? True Let n = 24.88 + -26. Let a = 1.1 + n. Is 2 equal to a? False Let l = 9.3 + -8. Let m = l + -0.6. Is m at most as big as 2? True Let r(j) = 2*j + 16. Let x be r(-8). Does x = 2? False Let q = 10 - 0. Is q less than 10? False Let q = -15 - -21. Let a be ((-1)/12)/((-2)/q). Which is smaller: 1 or a? a Suppose 2*j - 5*y - 5 = 0, 1 = -4*y - 3. Is j not equal to 0.06? True Suppose -14*l + 11*l = 0. Let d be (l - 4/28)*1. Let o = -4 - -3. Is o < d? True Let o = 7 + -4. Suppose -22 = -3*a + 2. Suppose -3*r + u = -u - 11, 0 = o*r + u - a. Is r smaller than 3? False Let f(r) be the second derivative of r**3/6 + 3*r**2/2 + 4*r. Let d be f(3). Let h be 6/20*4/d. Which is bigger: 0 or h? h Let x = -13 + 14.3. Let i = x - 0.3. Which is smaller: 3 or i? i Let a = -15 - -14.4. Is 0 less than or equal to a? False Suppose 3 = 3*g - 0. Is 2/201 less than g? True Let q be (-1)/(1/(-4)) + 1. Suppose -f + 6*f = -q. Let i be f/(2 + -3) + 4. Which is smaller: 6 or i? i Suppose 10*z - 5*z = -5. Suppose t - 3 = 4*h, -2*h - 9 = -0*h - 3*t. Is z != h? True Let j be 18/(-4) - (-12)/8. Let z = -9 - -7. Is z at least as big as j? True Let x be (-13 - -2)*4/(-4). Which is greater: x or 21/2? x Let k = -114 - -114. Which is bigger: k or -3/26? k Suppose 3*r = y - 0*r - 8, r = -4*y + 6. Let l be 1/(-2)*1 - -2. Which is bigger: y or l? y Let o = 2/33 - -29/66. Let t = -9 - -7.8. Let c = t + 0.2. Are o and c equal? False Suppose 19*c - 21*c = 4*n - 24, -4*c = -4*n. Let a be 5 + (-1 - (0 - 1)). Which is smaller: c or a? c Let h = -13954995/3229268 + -2/115331. Let f = 32/7 + h. Which is bigger: f or -1? f Let z be 1 + 0 - (-3 + (-1644)/(-410)). Are z and 1 equal? False Let h = 1.47 + 0.43. Let y = 2 - h. Is 3/5 bigger than y? True Suppose -2*b - 2 = -0*b. Let p = 46107821/570798 + -3/63422. Let w = p - 81. Which is smaller: w or b? b Suppose -3*a + 140 = -n - 0, 0 = -3*a + 4*n + 155. Is a bigger than 47? False Let w(x) = x**2 - 14*x - 32. Let n be w(16). Which is smaller: 3/14 or n? n Let m = 139 + -95. Is m >= 0? True Let j = -144 + 1010/7. Let h = -394 + 389.02. Let d = -0.02 + h. Which is greater: j or d? j Let j be -1 - 0*(1 + -2). Suppose 0*b - 2 = 2*b. Let x be (b*9/(-6))/6. Which is smaller: x or j? j Suppose 39 = 4*t + 23. Suppose -23 = -5*z - 3*c, c - 4*c = 3*z - 15. Is t > z? False Suppose 2*h + 2*h = -2*p - 14, 2*h = 3*p + 5. Let y = h + 3. Let b = y + 3. Is 4 equal to b? True Let g be -2*(1 + (-7)/2). Let o = g + -6. Is o bigger than -2/9? False Let b = 52/63 - 5/7. Is 1 not equal to b? True Let t(n) = 0*n + 2*n - 7*n**2 + n - 3 + n**3. Let h be t(7). Let o be 8/h*3/(-2). Which is greater: -1 or o? o Let x be (10/3)/(4/6). Let i = 16 - 12. Which is bigger: i or x? x Let j be (-8)/6*36/(-8). Let m be (2/j)/((-5)/(-75)). Which is smaller: m or 4? 4 Let i(n) = -n**3 - 15*n**2 - 15*n - 12. Let k be i(-14). Which is bigger: k or 2/3? k Let l = -16 - -15. Is l > -7/6? True Suppose d - 4*d = 0. Let v be (4 - 4)*(-1 - d). Are 2 and v equal? False Let f = -5 + 7. Let m be (f - 1)*(0 + 0). Which is smaller: 4/5 or m? m Let g(m) = m**3 + 6*m**2 + 5*m + 2. Let r be g(-5). Suppose 0*b = 2*b + 4. Let s = b - -4. Is r != s? False Let r = 10 + -5. Suppose 0*z = 4*z + 4*k - 12, -9 = -r*z - 2*k. Let w be 0 + (2 - 3) + z. Is -1/3 bigger than w? False Let w = -0.35 + 0.4. Let d = 0.15 - w. Which is greater: -0.1 or d? d Let r(n) = n**2 - 6*n + 9. Let i be r(7). Let h be i + (-3 - 1) - 2. Let l(j) = j**2 - 3*j + 5. Let d be l(4). Which is smaller: h or d? d Let s be 2/1*(2 + -4). Let q = s - -4. Let d(i) = -i + 2. Let m be d(3). Which is greater: m or q? q Let a(c) = c**2 + 8*c + 12. Let i be a(-4). Is -21/8 greater than or equal to i? True Let m be (-4)/(-20) - 2/10. Do m and -3/19 have different values? True Let u = -146233/5661 + -36/629. Let g = u - -26. Which is greater: g or -1? g Suppose 0*y - 4*m + 84 = -2*y, -212 = 4*y + 3*m. Which is bigger: -51 or y? y Let b = 14 - 14. Which is smaller: b or -4/3? -4/3 Let l = -38 + 38. Which is bigger: l or 6/37? 6/37 Let g(o) = -o**3 + 4*o**2 - 4*o + 3. Let f be g(3). Which is greater: 1/34 or f? 1/34 Let l = -24 - -24. Let s(p) = p**2 + p**2 - 3*p**2. Let k be s(l). Is 0 less than k? False Let k be 2/(-5) - (-84)/10. Suppose 3*o - 2*v - 7 = 0, k + 2 = 2*o + 4*v. Let b(t) = t**2 + t + 4. Let i be b(0). Which is smaller: o or i? o Let x be 12/(-24)*1*2. Is -2 equal to x? False Suppose u - 3*u + 16 = -4*p, -u = -p - 3. Suppose -3*o - 3*x - 12 = 0, 0 = -o - 3*x - 12 + 2. Let z be 4/8 - (o - -1). Which is smaller: z or u? u Suppose -l = -2*i - 2*l - 1, 3*i + 5*l = -5. Let s be 1 - (5 + -2) - i. Let q = s + 2. Which is smaller: q or 0.5? q Suppose -2*a + 14 + 6 = -3*h, 0 = -4*h + 8. Let k = a - 23. Let d be (-2)/(-5) + 8/k. Which is smaller: d or 1? d Let a = -7 - -6. Suppose 3*q - 4*g = -q + 8, 0 = g + 1. Which is smaller: a or q? a Let x be -3*((-2)/21)/1. Suppose 0 = -4*v + g - 3, 0 = v - 5*g - 3 - 1. Which is smaller: x or v? v Let o be (-6)/(-9) + (-274)/6. Let f be (-4)/18 - 55/o. Which is greater: -2/11 or f? f Let j = -22 - -14. Let t = -194 - -202.1. Let g = j + t. Which is smaller: -0.3 or g? -0.3 Let f be ((-8)/(-6))/(3/(-9)). Let m = -8 + 3. Is f at most m? False Let l = 348 + -3825/11. Is -1 > l? False Suppose 5*r - 2*t + 17 = 0, 2 = 2*r + 4*t + 4. Which is bigger: r or -1? -1 Let c = -438 + 2198/5. Which is greater: 2 or c? 2 Suppose 3*y - 16 + 19 = 0. Does y = -3? False Let l = -1061/5 + 20054/95. Is l at least -1? False Let p = -2 - -1.97. Let y = 0.01 - p. Let i = 0.04 - y. Is 1 at most as big as i? False Let d be (-15)/12 - (-1)/4. Which is smaller: 1/13 or d? d Let q(i) = -i**2 + 2*i + 1. Let k be q(5). Let y = k - -11. Which is bigger: y or -5/3? -5/3 Let c(g) = g**3 + 6*g**2 + 4*g - 1. Let m be c(-5). Let a = 3 - 3. Suppose -m*r + x = a, -5*x = r + 4*r. Is -5/6 less than r? True Let w be 4/14 + (-8)/14. Let a = 14771/27 - 547. Is a < w? False Let j be (-4)/30 - 58/15. Let z = -6 - -4. Which is greater: j or z? z Let a = 3 + -2.9. Which is bigger: -0.07 or a? a Let b be 4*-2*3/(-6). Let w(f) = 4*f - 3 + 2 - f**2 + 0. Let j be w(b). Which is smaller: 0 or j? j Suppose 2 = 8*b - 10*b. Which is bigger: b or 4? 4 Let p(t) = -t**3 - 5*t**2 - t - 2. Let b be p(-5). Is -0.1 bigger than b? False Let h be (-2)/(-2)*(-16 - -11). Which is smaller: -3 or h? h Suppose 2*y - 14 = 4*b, -b - 20 = 3*b - 4*y. Let m(v) = v**2 + 2*v - 1. Let u be m(b). Which is bigger: u or -5/7? -5/7 Suppose -4*t = 4*h - 20, 0 = -4*t - h + 8. Suppose -5*a - 5*o + 32 = 2, a - 5*o = 0. Let f(q) = q - 4. Let l be f(a). Is t smaller than l? False Suppose 0 = 2*r + 3*r. Let b = r - 2. Let l be ((-4)/4)/((-7)/b). Which is smaller: l or 3? l Suppose 3*f - f - 18 = 0. Let x be (-450)/52 - (-12)/78. Let k = x + f. Are k and 0 non-equal? True Let q be (-176)/80 + (-2)/(-10). Which is smaller: -
{ "pile_set_name": "DM Mathematics" }
j = -1 + -1. Let l(v) be the second derivative of 3*v**4 + v**3/6 + v**2/2 - 2*v. Let p be l(j). Calculate the greatest common divisor of p and 13. 13 Let g(s) = -s**3 + 17*s**2 + 9. Let v be g(17). Suppose 0 = j + 18 - 99. Calculate the highest common divisor of v and j. 9 Let g be (0*(-1)/3)/2. Suppose g = -x - x + 198. Suppose 0 = -2*q - q + x. Calculate the highest common divisor of q and 11. 11 Let p = 4 + 0. Suppose -2*y = -5*x - 17, y - 2*x - p = 3. Calculate the greatest common divisor of y and 5. 1 Let z = -11 - -17. Calculate the highest common divisor of 12 and z. 6 Let q be (-5)/(-15) - 322/(-6). Let g be (-1 - 0)/((-2)/q). What is the greatest common divisor of g and 9? 9 Suppose 5*u + 4*w = 60, -4*u + 3*w - 7 = -3*u. Suppose -u*b + 6*b + 6 = 0. Calculate the highest common divisor of 27 and b. 3 Let u be 4/(-5)*(-35)/(-14). Let d = 5 - u. What is the highest common divisor of 21 and d? 7 Let l(r) = r**3 - 9*r**2 + 7*r + 10. Let i be l(8). Suppose 0 = 2*n + 2, 2*n + 3 = m - 2. Calculate the highest common factor of m and i. 1 Let u(z) = z - 1. Let s be u(4). Let l = 33 - s. Let g = 40 - 20. Calculate the greatest common factor of l and g. 10 Let y(n) = n**3 + 14*n**2 - 12*n - 20. Let m be y(-14). What is the greatest common divisor of 4 and m? 4 Let s = 10 - 14. Let q = s - -3. Let p = 1 - q. What is the greatest common factor of p and 6? 2 Suppose -3*b + 52 = 2*y, -y = 2*b - 23 - 10. Let p = -7 - -21. Calculate the highest common divisor of b and p. 14 Let d(t) = -t**3 - 6*t**2 - 7*t - 1. Let r be d(-5). Let p = 42 + -32. Let u be (-12)/18 + p/6. Calculate the greatest common divisor of r and u. 1 Let n(l) be the second derivative of -l**3/6 + 27*l**2/2 + 2*l. Let j be n(13). Calculate the greatest common factor of 70 and j. 14 Let b = 7 + -4. Let i be 1/3 + 14/b. Let o be 0 + 1 + 42/3. Calculate the greatest common divisor of o and i. 5 Let c = 36 + -26. Let z be (-123)/(-2)*c/15. Suppose 3*h + 2*x = 6*h - z, -4*h + 5*x + 64 = 0. Calculate the greatest common divisor of h and 121. 11 Let j be (-26)/((-4)/2) - -1. Calculate the greatest common factor of 112 and j. 14 Suppose -5*v = -10 - 15, 5*v = -5*t + 5. Suppose -5*r - 4 = -r. Let d be (-5)/r - (6 + t). Calculate the greatest common factor of 2 and d. 1 Let v(w) = -4 + w - w**2 + 3 + 2*w**2 + 0*w. Let b be v(-3). Calculate the highest common divisor of b and 35. 5 Let p = 49 + -41. What is the greatest common divisor of p and 88? 8 Suppose -4*m = -5*z + 67, 0*m + 53 = 3*z + 4*m. Suppose 0*i - 495 = -3*i. Calculate the highest common divisor of i and z. 15 Let b be -1 - (-1)/((-2)/(-8)). Suppose 0 = 3*s - 14 - 4. Let d be (-5)/2*s/(-5). What is the greatest common divisor of b and d? 3 Let n be 32/(-6)*(-114)/4. Suppose 0 = -5*c, 22 = l - 4*c + 3. What is the greatest common factor of n and l? 19 Suppose 0 = -2*c + 17 + 159. Calculate the greatest common divisor of c and 8. 8 Suppose 3*n - 1 = 4*b, -2*n = -4*n - 5*b + 16. Let x be 25/n + 1/(-3). Suppose 7*d = 4*d + 48. What is the highest common divisor of x and d? 8 Suppose 10 = 5*a - 6*d + d, 3*a - 4*d = 1. Let o = a - -29. Suppose -18 = -3*x + 2*x. What is the greatest common divisor of o and x? 18 Let d = 7 + -1. What is the highest common factor of d and 3? 3 Suppose 5*r - 3*j = 12, -2 = j + 2. Suppose r = -2*a + 6*a - 468. What is the greatest common divisor of a and 13? 13 Let i be (-2)/3 + 3*(-85)/(-45). Calculate the greatest common divisor of 55 and i. 5 Let g(p) = -10*p - 9. Let i(k) = 3*k + 3. Let u(o) = 4*g(o) + 14*i(o). Let h be u(10). Calculate the highest common factor of h and 52. 26 Let t = 169 + -64. Calculate the greatest common divisor of t and 42. 21 Let n = -19 - -3. Let b = 28 + n. Calculate the greatest common factor of b and 84. 12 Suppose -3 = -z - 1. Let f be z/1*(202 + 6). Suppose 0 = -2*n - 2*d + 166, -5*n - 4*d + f = -0*d. Calculate the greatest common divisor of 12 and n. 12 Let r be -1*((31 - 2) + 2). Let i = -17 - r. What is the greatest common factor of i and 35? 7 Let i = -7 + 49. What is the highest common factor of i and 14? 14 Suppose -2*v - 9 + 87 = -3*d, 0 = 5*v - 4*d - 202. What is the highest common divisor of 63 and v? 21 Suppose c + k + 1 = -1, 0 = 5*k + 25. Suppose 38 = 5*n + c. Calculate the highest common divisor of n and 42. 7 Suppose -f + 5*f = -8. Let a(t) = 30*t + 5. Let k(j) = -j - 1. Let l(d) = -a(d) - 6*k(d). Let z be l(f). Calculate the highest common divisor of z and 7. 7 Let s(y) = -y**3 - 1. Let j(p) = 43*p**3 + 2*p**2 - p + 6. Let k(g) = j(g) + 6*s(g). Let n be k(1). Calculate the greatest common factor of n and 57. 19 Suppose l + 7 = 2, -3*t = 4*l + 23. Let v be (324/4)/(t - -2). What is the highest common factor of 9 and v? 9 Let s be 19/5 + 1/5. Suppose 3*b + 0*b + 15 = x, 3*x - 4*b = 30. What is the greatest common divisor of s and x? 2 Let q(r) = -r + 11. Let s be q(7). Let y(o) = -o**3 + 3*o**2 + 5*o - 6. Let n be y(s). Let t = n - -8. Calculate the greatest common factor of t and 9. 3 Let z be 7/(-2)*(4 - 0). Let p(b) = b**2 + 6*b - 17. Let q be p(z). Calculate the greatest common divisor of q and 19. 19 Suppose 6*z + 120 = 11*z. Let a(j) be the first derivative of -j**2/2 + 16*j + 1. Let w be a(0). Calculate the greatest common divisor of w and z. 8 Let m(z) = 2 - z + 3 + 0 + 5. Let u be m(8). What is the highest common factor of 20 and u? 2 Suppose -5*p + 5*o = -25, -6*o - 2 = -p - 2*o. Calculate the greatest common divisor of 42 and p. 6 Let h = 106 + -50. What is the greatest common factor of 7 and h? 7 Suppose 3*j = 5*t + 31 + 14, -2*t + 3*j - 27 = 0. Let n be (0 - 2)*99/t. Suppose 0 = 3*q - n - 18. Calculate the highest common divisor of q and 153. 17 Let f = 19 - 7. Suppose 3*c - 51 + f = 0. What is the greatest common divisor of c and 143? 13 Let c be 1 + -2 - -18 - 2. Let d be 48/9 - (-2)/(-6). What is the greatest common factor of c and d? 5 Let c be (-2)/(-13) - 74/(-26). Calculate the greatest common factor of 3 and c. 3 Let v be 4/6 - 256/(-12). Let r(d) = 2*d**2 + 6*d + 19. Let g be r(-6). Calculate the greatest common divisor of g and v. 11 Let k = 28 + -25. What is the highest common divisor of 1 and k? 1 Let w = 8 + -1. What is the greatest common factor of w and 63? 7 Suppose -p + 3*v + 4 = 0, -p + 2*p = 5*v - 2. What is the greatest common divisor of 91 and p? 13 Let w(l) = l**2 + 4*l - 3. Suppose 2*y + 4*d = 2*d + 68, -3*d + 6 = 0. Suppose -4*n - y = -8. Let c be w(n). What is the highest common factor of 81 and c? 9 Suppose 2 + 8 = 2*h. Calculate the highest common factor of 5 and h. 5 Suppose -z = -3*j - 70, -17 = -z + 5*j + 49. Suppose 0 = 5*n - 15, n - 5*n = -3*v + 45. Calculate the greatest common divisor of z and v. 19 Let m = -2 + 4. Suppose -3*a - 3*y + 615 = 0, -2*y = -m*a + 6*a - 828. What is the greatest common divisor of a and 19? 19 Suppose 17 - 80 = 2*w + 3*k, -3*w - k = 98. Let t = w - -60. Calculate the greatest common divisor of 18 and t. 9 Suppose -a + 6 = 2. Suppose -3*h - 8 = 3*i + i, 0 = -2*i - a. Let u(z) = z**2 + 11. Let g be u(h). What is the highest common factor of g and 121? 11 Let q(i) = -i**3 - 6*i**2 + 5*i - 8. Suppose 6*o = -k + 3*o - 4, 5*o - 33 = 4*k. Let c be q(k). Let l = 43 + -31. What is the highest common divisor of c and l? 6 Let v = 8 - 11. Let g(b) = 6*b**2 + 3*b. Let q be g(v). What is the greatest common divisor of 18 and q? 9 Let f = -37 - -61. What is the highest common divisor of f and 24? 24 Suppose -2*q - 23 = -4*g + q, -3*g + 3*q = -18. Suppose -g*w + 96 = -2*w. What is the highest common factor of w and 16? 16 Let z be (-4*6/(-48))/((-1)/(-462)). Calculate the highest common factor of z and 21. 21 Let g = 91 + -59. Let n be (12/(-15))/((-2)/5). Let m(f) = 2*f**3 - 2*f**2 - f + 2. Let v be m(n). Calculate the highest common factor of v and g. 8 Suppose 7*r - 6 = 4*r. Suppose 34 = r*g - 3*f - f, 0 = -g - f + 17. What is the greatest common divisor of 17 and g? 17 Suppose 4*m - 98 = -5*r, 0*r - 2*r = m - 38. Let n(l) = 40*l**2 - 2*l - 2. Let o be n(-2). What is the greatest common divisor of o and r? 18 Suppose 4 = -3*l + 4*o, 5*o - 3*o = 3*l - 4. What is the highest common divisor of l and 10? 2 Let s be 1*(1 - -3 - -18). What is the greatest common divisor of 44 and s? 22 Let w = 13 + -12
{ "pile_set_name": "DM Mathematics" }
. What is the biggest value in -5, s, 5? 5 Let d = 0.17 - 0.07. Let x = 116/3 - 39. Let t be 1/(-4) + 1 - 0. Which is the second smallest value? (a) x (b) d (c) t b Let f = -5 + 3. Let z = 10 + -8. Suppose -p = -2*p - t - 6, 0 = -z*t - 10. Which is the smallest value? (a) p (b) f (c) 1/3 b Let t = -8 + 8.6. Let d = 2.6 - t. Suppose 3*f + 2*y + 6 = 0, 4*y - 16 = -0*f + f. Which is the second biggest value? (a) f (b) 3 (c) d c Let s = -2.71 + 2.75. Let f = 3 - 3.1. Which is the smallest value? (a) 0.2 (b) s (c) f c Let d = 1 + -1. Let r = -7 + 14. Let l = 6.7 - r. Which is the third smallest value? (a) l (b) d (c) -1 b Let f = 54 - 54. Let w = 0.09 - -0.91. Let s = 0.7 + -0.2. What is the second smallest value in f, w, s? s Let g = 79 + -79. What is the third biggest value in g, 3, -0.7, -0.3? -0.3 Let u = 8 - 10. Let o be ((-1)/u)/((-6)/12). What is the third biggest value in 14, o, -5? -5 Suppose 2*a - 30 = 2. Let l be (a/(-168))/(4/6). What is the third biggest value in l, 0.4, 3/5? l Let n be 1/2*(-1)/3. Which is the second smallest value? (a) -0.1 (b) 4 (c) 0.2 (d) n a Let n = -800/7 - -114. Suppose -l + 3*y = 3, 3*y = -2*l + 5 + 7. Let t be l/10 + (-2)/4. What is the third biggest value in 2, t, n? n Let h = 1.97 - -0.03. Let o = -34 - -33. Let m = o - h. What is the third biggest value in 0.2, m, 0? m Let q = -2.81 - 0.39. Let m = q + 3. Let z = m + 3.2. What is the biggest value in z, 0, 0.1? z Let j = 0.03 + -0.13. What is the second biggest value in -1/5, j, 1/5? j Let i = 0.8 + -2.5. Let j = -1.4 - i. What is the smallest value in -2, j, 6? -2 Let l = 4 + -3. Let i(y) = y**3 - 4*y**2 + 2*y - 6. Let s = 6 + -2. Let g be i(s). Which is the second smallest value? (a) l (b) g (c) -0.1 a Let p = 0.7 - 0.3. Suppose 5*h = 2*h + 2*m + 7, 3 = 2*h - 3*m. What is the third biggest value in p, -2, h? -2 Let y = -544377 - -318460628/585. Let g = -2/65 + y. What is the biggest value in 3, g, -1? 3 Suppose 0*d - 3*t - 11 = -d, -31 = 4*d + 3*t. What is the biggest value in -3, d, 0.7? 0.7 Let z = 5.06 + 0.54. Let n = z - 0.6. Which is the biggest value? (a) n (b) 0.1 (c) -5 a Suppose s = -3*u + 133, -143 = -u - 2*u + 4*s. Let h be (-6)/u*9/6. Which is the third smallest value? (a) 0.2 (b) -5 (c) h a Let x = 7 + -7.6. Let f = -0.6 - x. Let l be (-4)/48 + 1/4. What is the biggest value in l, f, -5? l Let s = 0.28 - -0.12. Which is the second biggest value? (a) -2 (b) -2/21 (c) s b Let r = 137 + -686/5. Which is the second smallest value? (a) 0.1 (b) -0.8 (c) r c Let a(u) = u**2 - u - 1. Let s be a(-1). Let o be s*(-8)/6*-3. Suppose o - 9 = i. What is the third smallest value in -0.2, i, 3/8? 3/8 Let i be 16/15 - 10/25. Which is the biggest value? (a) -15 (b) 0.2 (c) i c Let r = -3.159 + -0.121. Let m = r - -0.28. What is the biggest value in 3, 3/7, m? 3 Let l = 0.017 + 0.483. Which is the third smallest value? (a) 0.3 (b) l (c) -0.5 (d) 3/7 d Let o = 3.04 - 0.04. Let z(r) = r**3 - 4*r**2 - 6*r + 1. Let g be z(5). Let d be (9/g + 2)/3. What is the second smallest value in d, o, -0.1? d Let t = -17 - -20. What is the second biggest value in -1/17, -1, t? -1/17 Let l = -9.5 - -10. What is the fourth biggest value in 2/7, 2/19, -3/8, l? -3/8 Let y = 1.62 - 1.42. Which is the second biggest value? (a) y (b) -2 (c) 1 a Let w = 56 + -56. What is the third smallest value in w, -4, -2/9? w Let s = -4 - 3. Let d = s - -6.8. Which is the second biggest value? (a) -1/4 (b) d (c) 3 b Let p = 7.3 + -7. What is the second smallest value in p, -3, -4, -2? -3 Let o = -22.5 - -23. What is the biggest value in 15, 1, o? 15 Let h = 13 + -17. Let o = 0.6 - -3.4. What is the second biggest value in h, 2/7, o? 2/7 Let s(f) = -10*f - 5. Let h be s(-1). What is the second smallest value in -3/7, 4/23, h? 4/23 Suppose -121 = -f - 4*f - 3*r, 0 = -r - 3. Let d be 3 - f/8 - 0. Which is the second biggest value? (a) d (b) -0.3 (c) 0.1 a Let c be (66/(-8))/(5/(-120)). Let r be (-2)/(-9) - 8/c. What is the third biggest value in r, -3, -0.05? -3 Let u(k) = -k**2 - 5*k + 4. Let r be u(-5). What is the second smallest value in -1/7, r, 0.5? 0.5 Suppose 0*d = -2*d - 10, 2*j + 5*d + 35 = 0. What is the third biggest value in j, 3, -5/2? j Let h = 31 - 32. Which is the biggest value? (a) -0.5 (b) h (c) -0.3 c Let v = -787533/1126727 + 330/3037. Let u = -1/53 - v. Which is the biggest value? (a) 2/7 (b) u (c) -3 b Suppose -9*k = -5*k - 20. What is the second biggest value in 0.1, -3, k? 0.1 Let i = 4.92 + 0.08. Let f be ((-12)/54)/(4/6) + 0. Which is the third biggest value? (a) f (b) i (c) 2 a Let k = 1.5 - 7. Let v = k + 5. Which is the second biggest value? (a) v (b) 0 (c) -0.07 c Let f = -6 + 5.5. Which is the smallest value? (a) 6 (b) f (c) 0.3 b Let m = 112.5 - 113. Which is the fourth biggest value? (a) 2/7 (b) 0.5 (c) m (d) -4 d Let f be 2*42/40 + (-22)/(-55). Which is the second biggest value? (a) -0.2 (b) -1/2 (c) -1 (d) f a Let m = 76 + -72. What is the second biggest value in m, -1, -2/5? -2/5 Let s = 14 - 12. Suppose -2 = t + s. Let u be 1/2 + (-3)/3. What is the second smallest value in u, t, 3? u Let s = -11 + 16. Let d = 3.05 + -0.05. Which is the smallest value? (a) 4 (b) d (c) s b Let i be (-8)/40 - (-26)/(-20). Let j = 9/5 - 7/5. Which is the second biggest value? (a) -0.2 (b) j (c) i a Let n(m) = m**3 - 4*m**2 - 2. Let i be n(4). Let k be i/3*21/(-2). Let w = 6 - k. What is the second smallest value in 3, -0.5, w? -0.5 Let h = 0.058 + -12.058. Which is the smallest value? (a) 1/8 (b) -4 (c) 5 (d) h d Let f = -4 + 10. Which is the second smallest value? (a) f (b) 3 (c) 1 b Suppose 11 = -5*l - 4. Let f = -0.15 - -0.05. Let r = f - -0.6. What is the third biggest value in r, l, -1/3? l Let p = -131 - -129.82. Let d = p - -0.18. What is the second biggest value in 1, d, -2? d Let s = 0.074 + -0.274. Which is the second biggest value? (a) -4 (b) -1 (c) s (d) 18 c Let j = 150.5 + -151. Let y(k) = k**2 + 2*k - 1. Let f be y(-2). Let z = -2.1 + 2. Which is the second biggest value? (a) f (b) z (c) j c Let i = 0.5 - 0.6. Let o = 1.18 - -0.02. Let g = o + -1. Which is the second biggest value? (a) g (b) 4 (c) i a Suppose -11 = 4*h - 5*l + 2*l, 0 = -3*h - 4*l - 2. Suppose 4*n + 27 - 3 = 0. Let p = n - h. Which is the smallest value? (a) p (b) -3/7 (c) 0 a Let d = 0.21 - 1.21. Which is the third biggest value? (a) 0.1 (b) d (c) -0.3 b Let j = -5 - 0. Let a be (2 + j - -1)/3. Let h = -4.1 + 0.1. What is the second smallest value in -1/5, a, h? a Let h = 4.34 + -0.34. Let o = -46 + 232/5. What is the biggest value in h, o, 2? h Suppose -3*s = z - 35, 3*z - 27 = -0*s - 3*s. Let g be 2 + (2 - 50/s). Let i = -52 - -55. Which is the third biggest value? (a) i (b) g (c) 3/8 b Let q(k) = k + 14. Let j be q(-15). Which is the biggest value? (a) 1/4 (b) 5 (c) j b Let j = -22.1 + 26. Let c = 1.1 + j. Let q be (-2)/(1*-7 + (-30 - -25)). What is the third biggest value in 0.5, c, q? q Let f = -8 + 8.5. What is the second biggest value in -0.3, f, -2? -0.3 Let m be 8/(-76) - (1 + -1). Suppose 0 = 5*d + 2*g + 33, -2*d = -3*d + 3*g + 7. Let t be (-5)/25 + (-11)/d. What is the second biggest value in m, 0.2, t? 0.2 Suppose -5*i + 23 = -2*x, 2*i + 2*i = 3*x + 24. Let k = 8 - 6.9. Let u = k - 0.8. What is the second biggest value in u, 2/5, i? 2/5 Suppose -3*h = 1 - 19. Let a be h/39 + 48/26. Let q = -2.6 - -2.9. What is the third biggest value in -5, a, q? -5 Let l be (2/10)/((-12)/48). What is the fourth smallest value in l, -4/7, -0.5, -0.4? -0.4 Let a = 3/8 + -23/40. Let u(k) = k**3 - 5*k**2 + 2. Let s be u(5). What is the third smallest value in 6, s, a? 6 Let w be 1/(-2)*(-2 + -10). Let v be 2/w - (-26)/(-42). What is the third smallest value in 1, 5, v? 5 Suppose 15 = -2*s + 1. Let v = 5 + s. Which is the smallest value? (a) 0.3 (b) v (c) -0.2 b Suppose -o = -5 + 1. Let k = -4 + 5. Let g = -0.7 + k. What is the third smallest value in o, -1/5, g? o Let m be (5/(-1245))/(2/(-3)). Let t = m - -157/1494. What is the biggest value in 1, 5, t? 5 Let q = 19.6 - 25. Let s = 5.8 + -0.8. Let r = s + q. Which is the third biggest value? (a) 1/2 (b) -0.3 (c) r c Let d = -2.07 - -0.07. W
{ "pile_set_name": "DM Mathematics" }
(a) x (b) 0.1 (c) -5 c Let l = 1.2 + -6.2. Let j = -116 + 121. Let z = 4.7 - 5. What is the smallest value in j, z, l? l Let q = 6.9 + -6.6. Which is the smallest value? (a) 0.1 (b) q (c) 2/9 (d) -2/3 d Let o = 7 + -2. Let v be (-16)/9 + -3 + o. Which is the third smallest value? (a) v (b) -0.5 (c) 2 c Let w = 1.9 - 2.01. Which is the biggest value? (a) 0.4 (b) w (c) 0 a Let d = -15 - -20. Let b = -7 + 10. What is the smallest value in d, 0.4, b? 0.4 Let d be (24/56)/(2*1/(-2)). Which is the third biggest value? (a) 0.4 (b) d (c) 0.5 b Suppose 0 = 5*o + 2 + 23. What is the biggest value in o, 5/2, -0.2? 5/2 Let u = 0 - -4. Let s = -294076 + 50287322/171. Let d = s - 32/19. What is the smallest value in d, -1, u? -1 Let g be (-5982)/30 + (-4)/10. Let u = 199 + g. Let k = -0.1 + 0.1. Which is the smallest value? (a) k (b) u (c) -0.3 b Let y = 151 - 752/5. What is the fourth smallest value in y, -0.3, 0.5, -2? y Let r = -35 + 177/5. Which is the second smallest value? (a) -2.3 (b) 3/2 (c) r c Let y = -53 - -46. What is the smallest value in -1/6, -0.3, y? y Let z = 1.24 - 0.54. Which is the third smallest value? (a) -2 (b) z (c) -5/3 b Let l = 8 - 13. Let y = 10 + -10.2. Which is the second smallest value? (a) 3 (b) l (c) y c Let z = 64 + -59. Which is the second biggest value? (a) 0.1 (b) 15/2 (c) z (d) -4 c Let o be (2/(-20))/(1/6). Which is the smallest value? (a) -5 (b) o (c) 1/51 a Let w = 172 + -167. Which is the second smallest value? (a) -1.2 (b) -3 (c) -3/7 (d) w a Let z = -0.07 - -0.07. Let f = z - 9. Let r = 7 + f. Which is the second smallest value? (a) 2 (b) 4 (c) r a Let g be (-5)/(-15)*(-3)/5. Let h = -31/52 - 2/13. What is the second smallest value in h, g, 2? g Let x = 2/43 + 37/129. Which is the third biggest value? (a) x (b) -5/2 (c) 0.5 b Let a = -48/7 + 247/35. What is the third smallest value in -0.5, a, -2/15? a Let g be (-16)/(-14)*(-5)/10. What is the smallest value in 0, g, -0.1, -1/5? g Let f = 183/2 + -99. Which is the third biggest value? (a) 2/17 (b) 1 (c) f c Let r = 6 + -3. Let j = 2.8 - r. Let i = -429/8 - -54. Which is the second smallest value? (a) j (b) 4 (c) i c Let c = -1.5 + 1.43. Let y = -0.07 - c. What is the second smallest value in y, -3/4, 2/9? y Let y = -3.3 - -3.6. What is the third biggest value in -4, -1.1, y? -4 Let f(l) = -l**2 - 3*l + 2. Let r be f(-3). Suppose -7*s + r*s + 30 = 0. Let b be s/(-4)*(0 - 2). What is the smallest value in -5, b, 4? -5 Let r = 7.7 + -15.7. What is the second biggest value in 1, r, 1/4? 1/4 Let k = -73.04 - -73. What is the third smallest value in 2/9, -4, 0.3, k? 2/9 Let p = 5.86 + 0.14. What is the second smallest value in p, -1, -3? -1 Let u be (330/27)/((-136)/6). Let r = u + 12/17. What is the third biggest value in 5, -2/13, r? -2/13 Let i = 1.4 - 1.5. Let t(o) = o**3 + o**2 - 10. Let f be t(0). Let y = f + 15. Which is the third biggest value? (a) y (b) 0.4 (c) i c Let w = 0.412 - 0.112. Let b be 0 - -1 - -5*1. What is the smallest value in -1/9, b, w? -1/9 Let o = 28 + -28. Let z = -0.4 + 0. Which is the biggest value? (a) 4 (b) o (c) z a Let q(u) = u + 7. Let y be q(-9). Let p = 3 - 1. Let t = 0 + p. Which is the third smallest value? (a) t (b) y (c) -1 a Let m = 4/13 + -41/91. Let g = -0.5 - -1.5. Which is the third smallest value? (a) m (b) -3/8 (c) g c Let s(m) = m**3 - 7*m**2 - 1. Let t be s(7). Let q = 0.1 - -0.9. What is the second biggest value in q, -2, t? t Let q be 4*((-25)/20 + 0). Let c = -0.1 + -0.1. What is the second biggest value in q, 0.5, c? c Suppose -1 = -3*d - 13, 5*d + 23 = 3*j. Which is the smallest value? (a) 4 (b) 3/5 (c) j b Let j = -3 - -2. Let s = 25 - 1. Let z be s/13 - (-2)/(-1). What is the third smallest value in z, j, -1/3? z Let w = 35 + -139/4. Which is the second smallest value? (a) w (b) 2 (c) -2/5 a Let s = 0.052 - -0.448. Which is the second biggest value? (a) s (b) 2/25 (c) -4 (d) -4/5 b Suppose 34 = -0*o + 3*o - 5*y, y = 4*o - 17. Let x be (-4)/(-2) + (-7)/o. Which is the second smallest value? (a) x (b) -0.5 (c) 0.4 a Let g = -4.15 + 0.15. What is the second biggest value in g, -2/11, 2? -2/11 Let n = -0.006 + 2.106. Let r = n - 0.1. Which is the second smallest value? (a) -3 (b) r (c) -1 c Let y(t) be the first derivative of t**4/4 + 7*t**3/3 + 3*t**2 + 5*t - 8. Let i be y(-6). What is the third smallest value in 4/7, i, -0.4? i Let f = -0.071 - -6.171. Let w = f + -6. Let o be (-12)/18*(-3)/5. Which is the biggest value? (a) -4 (b) w (c) o c Let p = 226 + -2030/9. Which is the smallest value? (a) p (b) -4/5 (c) -3 c Let d(j) = -j**2 - 7*j - 6. Let k be d(-6). Let g be k/(-2) - (-2 - 0). Suppose -4*h + 18 = 2*q, -6 = -2*q - 3*h + 2*h. What is the smallest value in g, 0, q? 0 Suppose -2*k - 13 = -5*n - 0, -5*k - 20 = 0. Which is the third smallest value? (a) 0.4 (b) -1/16 (c) n c Let h be (1/4)/(2/(-244)). Let k = 30 + h. Suppose -8 = 4*i - 6*i. Which is the biggest value? (a) i (b) -2/3 (c) k a Let w be 12/(-104)*1556/(-42). Let m = 31/7 - w. Let z be ((-3)/(-15))/(0 + 1). What is the third smallest value in m, 1, z? 1 Let v be ((-32)/24)/((-2)/(-6)). Which is the second biggest value? (a) 2 (b) 5 (c) v a Let o = 41 + -83/2. Let q = -12 - -17. What is the second smallest value in 4, q, o? 4 Let j = -26/3 + 17/2. What is the second smallest value in -0.3, 3, j? j Let w(b) = -b + 8. Let t be w(16). Let i = -3 - t. Let c = 0.1 - 2.1. What is the second smallest value in -5, i, c? c Let q = 5.91 + -6. Let i = q - -0.99. Which is the biggest value? (a) 1 (b) i (c) -2 a Let r = 5 - 10. Let z be 19/(-44) - (-3)/12. What is the third smallest value in 5, z, r? 5 Let q be (-2)/(-3) - 6/90. What is the fourth smallest value in 2/11, 0, q, 1/2? q Let x be (-6)/12 + 10/(-4). Which is the smallest value? (a) x (b) -2 (c) -1/2 a Let w = 1.56 + 0.44. What is the second biggest value in -5, w, 0.4? 0.4 Let h = 76 + -74. Which is the fourth biggest value? (a) 1/5 (b) h (c) -4 (d) 0.5 c Let p = -57.4 - -57. Which is the second biggest value? (a) p (b) -2 (c) -1 c Let u = 27.61 - 28.11. Suppose 2 = -2*x + 4*x. Let n be (-1 + x)/1 - -4. What is the third biggest value in -0.4, n, u? u Let w = 0.1 + 0.2. Let b = -80/3 + 27. Let r = 3 + -3.4. What is the third smallest value in w, b, r? b Suppose -6*y + 2*y - 8 = 0. Let x = 0.07 - 0.01. What is the smallest value in x, y, -1/8? y Let d = 0.74 + -7.64. Let v = d + 7. Which is the second smallest value? (a) -4 (b) -1 (c) v b Let m = -2 - -2.5. Let q = -199/485 - -1/97. Let x = -24 - -21. Which is the third biggest value? (a) x (b) m (c) q a Suppose -r = 3*l + 1, 3*l = -2*l + 4*r + 4. Suppose l = -5*h - 23 + 8. Which is the second biggest value? (a) 0.03 (b) h (c) -5 b Let q = 746/5 + -150. Let p = -0.18 + 3.14. Let n = p + 0.04. What is the biggest value in q, n, 2/17? n Let u = -15 - -19. What is the third smallest value in 0.4, u, 2/3? u Let w = 176/3 + -59. Let g = 7 - 6. Which is the third biggest value? (a) -0.4 (b) w (c) g a Suppose -22 + 7 = -5*t. Suppose 3*l - 5 = 10. Which is the second smallest value? (a) l (b) 0.4 (c) t c Let t = -107 - -108. Which is the second smallest value? (a) 4 (b) 0 (c) -1/6 (d) t b Suppose 0*z - 2*z = -2*u - 54, 0 = 4*u - 20. Let g = z - 127/4. Let j = -17098/9 + 1900. What is the third biggest value in j, g, -1/3? -1/3 Let o = 156 - 156. Which is the third smallest value? (a) 3 (b) o (c) -2 (d) -0.2 b Let s = 5.97 - 6. Let n = -0.03 - s. What is the third biggest value in -2, n, -1/4? -2 Let v = -7 + 6.7. Let y be -1 - 6/(-8)*2. What is the second biggest value in v, -3, y? v Let q = -0.2 - -0.3. Let w = 0.1 - q. Let d = w - -1. What is the third smallest value in -4, -0.1, d? d Let k = 10 - 7. Suppose 8*q - 3*q - 3*j = 2045, 1226 = 3*q - 2*j. Let u = q - 6178/15. Which is the third biggest value? (a) u (b) k (c) -2 c Let u(v) = 2*v**2 - 6*v. Let g be u(3). Suppose -20*s + 25*s + 5 = g. Which is the third smallest value? (a) 1/9 (b) s (c) 1 c Let o = 6 + -8. Let u = o - -9. Let g = 6.7 - u. What is the second smallest value in -4, g, 0.2? g Let s = -542 + 537. Let z = -4/11 + 41/22. Which is the biggest value? (a)
{ "pile_set_name": "DM Mathematics" }
ten thousand. 0 Let f = 497 - 497.00676. What is f rounded to 4 dps? -0.0068 Let r = 30.8 - 80.1. Let o = 49.2611 + r. What is o rounded to 3 dps? -0.039 Let n = -0.11226 + 0.71196. Let h = n - 0.6. What is h rounded to 4 decimal places? -0.0003 Let i = 30941135943967.2100097 + -30941131658810. Let v = -4285157 + i. Let z = v + -0.21. What is z rounded to six decimal places? 0.00001 Let v be (-70781)/7 + (-162)/378. Round v to the nearest 1000. -10000 Let n(p) = 2*p + 1. Let b be n(9). Suppose -b = 5*i + 11. Let a be 40*(-3 - i - 103). Round a to the nearest 1000. -4000 Let i = 1222 - 1221.458. What is i rounded to one dp? 0.5 Let k = -800.7 - -957.14. Let o = -3.44 + k. Let n = o + -152.917. What is n rounded to 2 dps? 0.08 Let x = 7.6 + 6.4. Let a = x + -10.74. Round a to zero dps. 3 Let d = 2734 + -3255.6. Round d to the nearest 100. -500 Let o = -50 + 46. Let n be 88000*(0 + (o - -6)). What is n rounded to the nearest 10000? 180000 Let o = -2120.09 + 2134. What is o rounded to the nearest integer? 14 Let k(f) = 16*f + 2254. Let l be k(0). Round l to the nearest 100. 2300 Suppose 0*w = -5*u + 3*w + 65, -5 = 2*u + 5*w. Suppose -5*x + 15 = -u. Suppose x*f - 170 = -5*q, 3*q = -6 - 3. What is f rounded to the nearest 10? 40 Let x = 83.23 - 1.23. Let q = 81.63 - x. What is q rounded to the nearest integer? 0 Let g(v) = 1910*v**2 - v + 1. Let z be 4/(-8)*-2 + 2. Suppose i - z*i + 2 = 0. Let x be g(i). Round x to the nearest one hundred. 1900 Let g = -0.02373 - -0.024. Round g to 4 dps. 0.0003 Let z = -7.5148 + 7.5. Let y = z - 0.02496. Let w = y + 0.04. Round w to five dps. 0.00024 Let i(v) = -9*v**2 - v. Let b be i(-1). Let l = b + 7. Let g be l/(-2) + (-63996)/(-8). What is g rounded to the nearest ten thousand? 10000 Let l = -19.1 - -101.1. Let z = l + -132. Let i = -49.99999885 - z. What is i rounded to 7 decimal places? 0.0000012 Let t = -0.02161926333 - -139357.64047926333. Let i = t + -139359. Let j = i - -1.38. Round j to four dps. -0.0011 Let b = -0.29 - -0.3568. Let i = b + -0.06. Round i to 3 dps. 0.007 Let n = 8591310 - 8591225.000605. Let k = n - 85. What is k rounded to four dps? -0.0006 Let v = 3066749922 + -3066749852.32336979. Let j = v + -71.026631. Let d = -1.35 - j. What is d rounded to 7 decimal places? 0.0000008 Let q be ((-3)/4)/((-2)/8). Suppose 0 = m - q*m + 620000. Round m to the nearest 100000. 300000 Suppose 87*q - 15 = 82*q. Let h be 1 + q + 1 + -545. What is h rounded to the nearest one hundred? -500 Let j = 0.05 + -0.049807. Round j to 5 dps. 0.00019 Let q = 355760 + 508240. Round q to the nearest 10000. 860000 Let a(l) = 2*l**2 + l - 2. Let j be a(-3). Suppose 14*f - 6100 = j*f. Round f to the nearest one thousand. 6000 Let c = 13 + -12.5. Let f = c - 3.3. Let r = 2.47 + f. What is r rounded to one dp? -0.3 Let f = -11.64 + 0.04. Let k = f + 11.07. What is k rounded to 1 decimal place? -0.5 Suppose -3*p = -p - 852912. Suppose -5*a + p = -a. Suppose i - 36614 = -a. Round i to the nearest one hundred thousand. -100000 Let n be 12/(-3)*620042/8. Let z = n - -1500021. What is z rounded to the nearest one hundred thousand? 1200000 Let r = -3.08976 + 3.1. Round r to 3 dps. 0.01 Let w = 90490.64532544 - -1108.22467656. Let c = w + -91599. Let n = 0.13 + c. Round n to five decimal places. 0 Let k = 101 - 145. Let v = 44.0058 + k. Round v to 3 dps. 0.006 Let t = -19 + 8. Let l = t - -11.24. Let k = 0.2 - l. Round k to two decimal places. -0.04 Let r(z) be the second derivative of 2/3*z**4 + 5*z**2 + 1/2*z**3 + 0 - 2*z. Let g be r(10). Round g to the nearest 100. 800 Let l = 332.27 + -334. Let q = l - -124.73. Let u = -122.911 + q. Round u to two decimal places. 0.09 Let v = 753.9199 + 0.8801. What is v rounded to the nearest one hundred? 800 Let g = 1.12537 + -1.137. Round g to four decimal places. -0.0116 Let t = 812 - 812.504. Round t to 1 decimal place. -0.5 Let k = -384938128.9999927 + 384938216. Let z = 0.196 - 87.196. Let d = z + k. Round d to six dps. 0.000007 Let p = -5684843606513782 + 5684843665817199.25099877. Let k = -59303417 + p. Let j = k + -0.251. Round j to seven dps. -0.0000012 Let o = 438.408767 + 0.001233. Let h = -435 + o. Round h to 1 dp. 3.4 Suppose -47*h - 1072 = -55*h. What is h rounded to the nearest ten? 130 Let v = 27 + 11. Let o = v - 29. Let p be 0 - o/((-36)/(-92000)). Round p to the nearest ten thousand. -20000 Let z = 31.93755 - 0.00855. Let q = 31.8 - z. What is q rounded to 2 dps? -0.13 Let j = -245 - -496. Let s = 231.7 - j. What is s rounded to zero decimal places? -19 Let m(j) = -38831*j**2 - 9*j + 6. Let f be m(-2). Round f to the nearest one hundred thousand. -200000 Let k = 0.0463 - 1.0873. What is k rounded to two dps? -1.04 Let l = 48.82002993 + -48.82. Round l to 5 decimal places. 0.00003 Let i be (-171)/(-6 + (-6606)/3300*-3). Round i to the nearest 1000. -31000 Let a = -394853 + 554653. Round a to the nearest ten thousand. 160000 Let r(b) = 427*b - 14. Suppose 0 = -2*j - 45 + 9. Let h be r(j). What is h rounded to the nearest one thousand? -8000 Let m = -659906 - -1269906. Round m to the nearest one million. 1000000 Let b = 1.2 - -4.2. Let j = 94.37 - 100.2. Let i = b + j. Round i to 1 dp. -0.4 Suppose 6*w - 5*w - 5*b = -10, 3*b = -2*w + 6. Let r = 762936 + 1129950. Suppose w = -d - r - 1207114. Round d to the nearest one million. -3000000 Let o(m) = 1206*m. Let u be o(1). Let w be 0 + 0 + u/6. What is w rounded to the nearest 10? 200 Let z(o) = -20*o + 41. Let b(g) = -g. Let d(f) = 5*b(f) + z(f). Let l be d(6). Round l to the nearest ten. -110 Let h = 0.2 - 0.02. Let v = -53647.8199932 - -53648. Let t = h - v. Round t to 6 decimal places. -0.000007 Let p = -108 + 43. Let b = -64.99832 - p. What is b rounded to 4 decimal places? 0.0017 Suppose -3 = -2*y + 3. Let v be (1 - (y - 3))/(-1). Let x be 1240000 - v/3*0. Round x to the nearest one hundred thousand. 1200000 Let i = 40 - 40.27. Let o = 966 - 966.5. Let p = o - i. What is p rounded to 1 decimal place? -0.2 Let o = 2.9166727 - -298.0816573. Let q = 301 - o. What is q rounded to 3 dps? 0.002 Let j = -0.64 - -0.63563. Round j to 3 decimal places. -0.004 Suppose 3*t - 4*t = 84. Let m = t + 342. Suppose -g = g - m. Round g to the nearest 10. 130 Let y = 183 + -54. Let z = -128.9744 + y. What is z rounded to three dps? 0.026 Let u = 3348783.96785806708 - -0.03098193292. Let k = 3348726 - u. Let o = 58 + k. Round o to 4 decimal places. 0.0012 Let p = 140.803 + -4.473. Let r = p - 24.67. Let x = r + -110. What is x rounded to one decimal place? 1.7 Let p = -3 - -2. Let a = 6.1697 - 7.169604. Let d = a - p. What is d rounded to five decimal places? 0.0001 Suppose 0 = 4*o - 3 - 5. Suppose -3*j = -4*j + o. Let l be (1 - j/(-2)) + 74998. Round l to the nearest ten thousand. 80000 Let g = -85.05 - -84. Let f = 1.049928 + g. What is f rounded to five decimal places? -0.00007 Let c = -0.024 + 0.608. What is c rounded to 2 dps? 0.58 Let s = -37.2 + 17.2. Let w = 9721.4 + -9701.3997. Let n = s + w. What is n rounded to four dps? 0.0003 Let c = 37986 + -36383.3. Round c to the nearest 10. 1600 Suppose 16*p - 12*p = 20. Suppose 3*z - 3*r + 1 = z, 4*z + p*r = 31. Suppose 0 = 5*d + 3*q - 4099994, z*d - 3*q = 5*d - 819994. Round d to the nearest 100000. 800000 Let n = 212726 - 805226. Round n to the nearest 100000. -600000 Let r = -28 + 28. Suppose r = i - 3*f + 149015, -3*f = -3*i + f - 447020. What is i rounded to the nearest 10000? -150000 Let h = 237 + -236.92. Round h to 1 dp. 0.1 Let v be ((-5636)/(-20) - -5)*5. Round v to the nearest one hundred. 1400 Let o = -0.52 - 0.02. Let w = o + 21.54. Let c = -20.99999934 + w. Round c to seven decimal places. 0.0000007 Let b = 26 - 47. Let s = -44 - b. Let r = s - -22.99982. What is r rounded to four decimal places? -0.0002 Let g = -453.000000732 + 453. What is g rounded to six decimal places? -0.000001 Let i = -3754 - -7174. Let g be (i/(-8))/((3 + -5)/16). Round g to the nearest 100. 3400 Let s = 6739.15 - 6537. Let k = s - 207. Round k to zero decimal places. -5 Let r = -92.4875 - -93. Let z = 0.5 + r. Let u = 1 - z. Round u to 3 dps. -0.013 Let m = -516.535 + 517. Round m to 1 dp. 0.5 Let n = 30.4 - 46.02. What is n rounded to the nearest integer? -16 Let z(f) be the second derivative of
{ "pile_set_name": "DM Mathematics" }
0)/(-24)). -6/5 What is (-896)/64*(-18)/21*2? 24 (2/2)/(((24/3)/(-4))/(-8)) 4 Evaluate -2*(-8)/(-32)*0*1/(-4). 0 What is (3/(-4))/(8763/(-1016))? 2/23 Evaluate (4/8)/(2/(196/7)). 7 What is the value of (-6)/16*(-1540)/(-1155)? -1/2 Evaluate ((-88)/(-286))/(88/52). 2/11 What is the value of ((-1212)/505)/(3/30)? -24 Calculate (19/(1197/70))/(((-24)/54)/(-4)). 10 Calculate 3/(-2)*(-34)/((-1734)/85). -5/2 What is (-157)/(189813/(-234))*2/(-6)? -2/31 (10/85)/((-23)/(-29325)*15) 10 Calculate (44/220)/((-3)/(-9))*(-34)/6. -17/5 Calculate ((-10)/(-75))/(3/45*-5). -2/5 What is the value of -20*(16/6)/(400/(-120))? 16 Calculate ((-9)/(-8))/((-390)/104). -3/10 Evaluate ((8/4)/4)/((-330)/(-132)). 1/5 What is ((-832)/(-240))/13*75? 20 Evaluate ((-22)/(-4))/((-21)/42). -11 (-1)/(-10)*(-96)/240 -1/25 Evaluate 2*(-43)/((-2322)/36). 4/3 (1920/(-26400))/(4/(-50)) 10/11 What is the value of ((-289)/17)/(-17)*10? 10 Calculate ((-15)/6)/(33/(-132)). 10 Evaluate (4/((-20)/(-5)))/(-1). -1 Calculate (1*(-4)/(-9)*3)/((-2584)/204). -2/19 16/(-1232)*7*11/2 -1/2 What is the value of (47/188)/(4/16)? 1 Evaluate (70/(2450/(-105)))/((-6)/(-14)). -7 Evaluate (26/(-13)*1)/(14/7). -1 Evaluate 4/18*(-174)/232. -1/6 What is (2/22)/(-58*-2*(-1)/(-22))? 1/58 What is the value of 14/(840/(-204))*-1? 17/5 What is the value of (-29)/(435/420)*-6*(-1)/(-7)? 24 Calculate ((-60)/(-640)*-8)/(49/224*-1). 24/7 What is the value of 12/(6*(-3)/18)? -12 Evaluate (-2)/((-66*(-1)/4)/((-36)/96)). 1/22 Calculate (14190/88)/43*4. 15 What is the value of (-18)/(-6)*(-10)/5? -6 Evaluate ((-6)/5)/((-1256)/(-2355)). -9/4 (-12)/(-32)*(-376)/(-3666) 1/26 Calculate -2*(-1)/(-4)*9/108*4. -1/6 Calculate 109/(13625/(-20))*(-1)/4. 1/25 -15*14/490*(-12)/(-45)*5 -4/7 What is 2*(-7)/(-378)*-6? -2/9 What is the value of (-6*4/(-6))/(896/128)? 4/7 (2/1)/((-140)/28)*10/46 -2/23 Evaluate (120/18)/2*(-9)/6. -5 Calculate (-92)/(-36)*16/(400/225). 23 Calculate ((-165)/(-66))/((-95)/798). -21 Evaluate (10/(-36))/((-48)/((-5472)/(-190))). 1/6 16/(-1480)*(-40)/(-12)*3/(-2) 2/37 ((4/(-2))/(2144/1206))/(-3) 3/8 Calculate (1620/495)/((-20)/110). -18 Calculate (165/(-132))/(2/(-24)). 15 Evaluate ((-121)/((-143)/(-13)))/(-1). 11 What is the value of (113/(-2373))/((-1)/(-6))*14/(-40)? 1/10 Calculate (-9)/(15*(-14)/(-20)). -6/7 What is the value of (((-240)/42)/4)/(2/14)? -10 (8/(-96))/(3/4)*(-18)/(-18) -1/9 (13*(-5)/130)/1 -1/2 Calculate (91/(-7))/39*(-5)/5*-1. -1/3 What is -9*(-6)/8964*(-236)/(-59)? 2/83 What is (((-14)/4)/(-7))/((152/32)/19)? 2 Calculate (-3)/(-663)*130*(-17)/(-2). 5 (297/(-2970))/((-2)/380) 19 What is the value of (3/35)/((-6723)/(-415)*1/6)? 2/63 (1/((-21)/(-90)))/((-21)/(-294)*3) 20 Evaluate -1*3*(-8)/32. 3/4 Evaluate (14*30/980)/(6/42). 3 What is the value of ((-15)/(-3))/(2/4)*132/(-165)? -8 ((-63)/(-9))/(((-294)/161)/(-6)) 23 What is ((-160)/(-25))/16*(-5)/(-1)? 2 What is 6/(-9)*22/2904*36? -2/11 What is ((-5)/2)/((-11565)/(-50886))? -11 Calculate (9/1)/((-17)/34*8/4). -9 What is ((-6)/14)/(-4*3*7/294)? 3/2 Calculate 9/(-3)*((-266)/(-28))/(21/(-14)). 19 What is (10*1/(-2))/((-655)/2096)? 16 What is the value of (((78/(-13))/(-18))/(-4))/(-2)? 1/24 What is the value of (-3)/198*-2*(-7)/28*8? -2/33 Evaluate -1*(-66)/12*(-260)/(-55). 26 (((-6)/1)/1)/(-18*64/288) 3/2 What is the value of 17/(-680)*8*0*1? 0 What is the value of (-60)/18*((-2)/5)/(16/60)? 5 Calculate (9/(-3))/(((-1179)/(-524))/((-78)/(-8))). -13 Evaluate (((-3)/(378/(-36)))/(2/21))/(-1). -3 What is ((-2)/(-14))/((-10101)/(-3626))? 2/39 Calculate (-9)/3*(2/(-45))/((-56)/35). -1/12 Evaluate (-5)/(-490)*-10*(-28)/(-70). -2/49 Calculate 3*7/(-35)*-5. 3 What is the value of (570/76)/5*((-6)/1)/1? -9 What is the value of (((-4)/4)/(4/4))/(2/10)? -5 What is (-7)/2*((-1)/14)/((-12245)/(-1240))? 2/79 What is (24/(-9))/(186/(-837))? 12 (-39)/(-39)*((-12)/10)/(-2) 3/5 Evaluate ((-637)/1274)/(2/(-44)). 11 Calculate (104/(-2860))/(12/10). -1/33 Evaluate (-1*(-2)/6*1)/((-153305)/(-122644)). 4/15 What is (696/290)/((-3)/(-90)*4)? 18 Evaluate (-2)/(-7*(-24)/(-18)*(-6)/4). -1/7 Evaluate 5/5*-3*55*2/33. -10 What is (138/(-92))/((-9)/96)? 16 Evaluate ((-21)/((-14)/(-2)))/((1155/(-10))/(-7)). -2/11 Evaluate (19/(-513)*9)/((-6)/(-54)). -3 Evaluate (1/(-6))/(27/((-49248)/(-16))). -19 What is 21*22/2926*2/9*-3? -2/19 What is the value of (-2)/16*(-2480)/310? 1 What is the value of (45/(-18)*((-30)/25)/3)/5? 1/5 Evaluate ((-54)/126)/(69/14). -2/23 -4*1/70*10*(-49)/2 14 What is 8160/11832*87/6? 10 What is the value of 2/(-3)*(-5715)/762? 5 Calculate ((120/(-350))/(16/(-56)))/(4/5). 3/2 Calculate (-25)/(-10)*41/(14350/56). 2/5 (-20)/(-6)*-2*((-360)/(-16))/15 -10 Calculate (-8)/12*15*4*4/32. -5 What is the value of ((-1)/3)/1*((-3894)/(-55))/(-118)? 1/5 Evaluate (560/(-196))/20*-126. 18 What is ((-10)/(-4))/((-5)/(-26))? 13 (-147)/(-14)*(-1)/(-3)*3420/(-1995) -6 Calculate 1*-2*(2/(-60))/((-154)/308). -2/15 What is the value of (585/1625)/(2/(-20))*(-5)/(-8)? -9/4 Calculate 11*3*(-454)/(-2497). 6 Evaluate (12/(132/(-11)))/(13/2). -2/13 Calculate ((-2)/(-6)*(-14)/((-784)/(-12)))/1. -1/14 1/(18/9*(-6)/36) -3 Calculate ((2640/(-1350))/44)/((-1)/25). 10/9 Calculate 6/1188*-3*4. -2/33 What is the value of (1960/(-105))/(21/(-18))? 16 Evaluate (-11)/((-99)/(-12))*((-20553)/52)/(-31). -17 Evaluate (-20)/(-2)*58/4930. 2/17 What is the value of ((-8)/3)/(-2)*115/(8280/(-324))? -6 Evaluate 3/(-12)*1*(-1080)/(-18). -15 ((-57)/21)/(18/63)*12/3 -38 Calculate (6180/(-64272))/(10/(-24)). 3/13 What is the value of (4/(-24))/(2*-3*25/(-120))? -2/15 Calculate (-80)/56*(-2)/(-5). -4/7 (4/2)/((-96)/32) -2/3 Calculate 3129/(-298)*(-16)/(-6)*(-8)/32. 7 Calculate ((-3)/(6/10))/(((-425)/60)/17). 12 Evaluate (-9)/(-126)*14*(-15)/(-3)*3. 15 24/(-12000)*-40*200 16 What is ((-6120)/3570)/(4/21*(-2)/(-4))? -18 Calculate 4/462*(-9)/(54/(-42)). 2/33 What is the value of (8*(-14)/616)/(-2)? 1/11 Calculate (-6)/198*-11*3*19. 19 What is the value of 2/(3/(-6)*(-4)/23)? 23 Calculate (-70)/(-24)*(-76)/(-7714)*29. 5/6 Calculate 47/(1081/23)*((-1)/(-2))/(-1). -1/2 Evaluate ((-90)/390)/((-12)/104). 2 Evaluate 21/((-189)/(-2))*3*(-9)/(-15). 2/5 Evaluate ((-4)/(-3))/2*5223/(-24374). -1/7 Calculate (21/28)/((-39)/8*(-9)/27). 6/13 (765/120)/(72/192) 17 What is (76/798*(-1)/(-2))/((-2)/12)? -2/7 (7/(-21))/((-78)/(-72)*2) -2/13 Calculate 102/24*162/(-459). -3/2 What is the value of 3*-10*18/1530? -6/17 Calculate (28/21)/(25/((-450)/4)). -6 Calculate 65/39*-2*2*12/8. -10 Calculate (1*(-2)/(-3))/(-11*754/429). -1/29 ((-25)/(600/(-18)))/((-174)/(-16)) 2/29 Evaluate (-1)/10*32450/(-295). 11 What is the value of (-56)/(-182)*39/54*6? 4/3 What is (-100)/600*(-4)/(-11)? -2/33 (8/260)/((-20)/(-585)*9) 1/10 Evaluate ((-796)/(-2786))/((-20)/(-98)). 7/5 What is the value of ((-203)/(-986))/(378/216)? 2/17 What is the value of (-55)/(-2)*(1872/(-396))/(-13)? 10 What is (629/(-148))/(8/32)? -17 What is the value of ((-12)/(-165))/((-7)/210*12)? -2/11 Evaluate (2/2)/(-7)*5*(-10)/50. 1/7 Calculate ((-5)/(-4))/(85/136). 2 Evaluate ((-59)/(-236))/((252/64)/(-7)). -4/9 Evaluate 20/69*1530/2040*(-4)/(-30). 2/69 30/225*-2*(-3)/4 1/5 Calculate (-1276)/(-1218)*24/22. 8/7 284/568*0/(-1) 0 What is the value of ((-1)/4)/(2312/(-17340))? 15/8 What is (2/(4/(2*-1)))/(753/9789)? -13 Evaluate (-305)/732*(-28)/(-10). -7/6 What is (3/(-21))/(((-1)/(-4))/((-315)/(-360)))? -1/2 Calculate ((-12)/4)/(6/(-2)). 1 What is the value of ((-5)/10*(-4)/(-6))/(15/(-6))? 2/15 (-1*2)/(((-376)/(-28106))/(2/13)) -23 ((756/9)/(-2))/((-6)/3) 21 9/3*(1/(-2))/(520/(-80)) 3/13 What is 10/160*-40*48/(-10)? 12 Evaluate (8/(-1)*(-3)/42)/(14/49). 2 (-54)/90*(-105)/63 1 Evaluate (1580/(-1580))/(3/5). -5/3 Calculate (9/2)/(-3)*(-135)/162. 5/4 Evaluate 39*(-5)/(-15)*(6/(-6))/(-1). 13 What is ((-2)/(-12))/(((-616)/816)/(-77))? 17 What is ((-9)/18)/((-1)/(-10)*-1)? 5 -2*(-22)/(-5*12/(-15)) 11 Evaluate 20/4680*36*1*1/2. 1/13 ((-13)/(-221)*17)/(68/48*-2) -6/17 ((-69)/(98670/44))/(((-2)/(-1))/20) -4/13 (((-124)/(-310))/(2/(-55)))/1 -11 (-96)/40*170/68 -6 Calculate (6987/(-4658))/((-12)/(-10)). -5/4 What is the value of 128/72*(182/28)/(-13)? -8/9 What is ((-1188)/45)/(-22)*10/8? 3/2 Calculate ((-1)/(-2)*(-640)/1728)/((-1)/6). 10/9 Calculate (21/(-7))/((2/5)/(48/180)).
{ "pile_set_name": "DM Mathematics" }
h is bigger: 0 or x? 0 Let c = -55 + 53. Let v = 2 - 2. Let n = 1 + v. Which is smaller: c or n? c Let r = -26.1 - -25. Let b = r - -1. Let h(f) = -f**3 - 3*f**2 + f + 2. Let i be h(-3). Is i not equal to b? True Suppose -5*b - 2*r - 8 = -0*b, 0 = 5*r + 20. Suppose b + 3 = -3*h. Is -1 > h? False Suppose 2*z + z = 0. Let j be (-2 + z)/((-6)/3). Is 8 <= j? False Let i be (-1)/(-3) - (-3)/45. Suppose -2 = -r + 10. Suppose -2*y + 3 = 8*h - 3*h, r = 3*y. Which is bigger: h or i? i Let q(b) = 2*b - b**3 + 0*b**3 + 2*b**3 - 2*b**2 - 1 + 0*b**3. Let x be q(1). Do x and 0 have different values? False Let v be -2 - (-2 + 1*-2). Let a(p) = 2*p**2 - p. Let c be a(-1). Is v greater than c? False Let i = -85847 + 770666/9. Let r = i - -217. Suppose 3*g - 4*g - 5 = 4*c, 2*g + 3*c = -5. Is g < r? True Suppose -19 = 2*f + p - 7, 8 = -4*p. Let r(h) = -4*h - 7. Let n be r(f). Suppose -3*g - n = -5*k, k + 0*g - g = 3. Is 1/2 < k? True Let n(b) = -b**2 + b. Let d(k) = -k**2 - 3*k - 1. Let g(s) = d(s) + 5*n(s). Suppose 3 = 2*r + 1. Let p be g(r). Which is smaller: -1 or p? p Let w = -0.17 - -0.17. Is 26 less than or equal to w? False Let i(a) = a**3 - 4*a**2 + 3*a + 2. Let d be i(3). Let u be 0 + 3*d/3. Let f be (-28)/(-24) - (-6)/(-9). Do f and u have the same value? False Let y = 17 + -97/6. Suppose 0 = 3*a + 4 - 10. Which is smaller: y or a? y Suppose -d = -4*d + 6. Suppose 2*h = -0 - d. Is -2 smaller than h? True Suppose 2*x + 2 = -2. Suppose 5 = -l + 1. Let i = -5 - l. Does i = x? False Suppose 39 = -4*l + 27. Let p be 14 - -1 - 6/l. Is 17 greater than or equal to p? True Suppose -5*t - 620 = -0*t. Let x be 2/14 - t/14. Which is bigger: x or 10? 10 Let z be 3/9 - (-11336)/(-42). Let h = z + 269. Which is smaller: h or 0? h Let y = 164 + -278. Let f = 20531/180 + 61/180. Let v = y + f. Is -1 > v? False Let p be 3 + (-1)/((-42)/360). Which is greater: p or 11? p Let u = 53.7 - 56. Let p = 4.3 + u. Is p greater than or equal to -3? True Let q be 1 + (-32)/(-20) + -3. Is q < 1/2? True Suppose 2*r + 12 - 3 = -5*w, 0 = -w - 5. Let x be -18*(6/r)/(-3). Is x at most 6? True Suppose -3*w = -2 - 1. Let u = 136/6279 - -2/273. Which is greater: w or u? w Let s(w) = -w + 5. Let j be s(4). Is 2/33 smaller than j? True Let l = -82 + 83. Is l greater than or equal to -1/117? True Let y be 844/(-24) + 3/18. Let z be 4/(-14) - (-25)/y. Which is bigger: 1/11 or z? 1/11 Suppose 0 = 4*s - 0*s. Suppose -4*f = -22 + 6. Let u be f/16*(-16)/(-6). Which is greater: u or s? u Suppose m = k - 2, 5*k = -2*m + m + 28. Let p be 2/4 - 9/6. Let o(q) = 6*q**2 - 1. Let v be o(p). Is v at most as big as m? False Let g be ((-6)/3)/(4/10). Let q(c) be the second derivative of c**5/20 + c**4/3 - 5*c**3/6 + c**2/2 - 2*c. Let n be q(g). Are n and 3/7 unequal? True Let p = -1.9 + 2. Let j = -1.98 + 2. Let b = 0.22 - j. Is b less than p? False Let t = 4407/88 - 405/8. Suppose -14 = 3*v + 4*k, 3*v + 0*k + 8 = -k. Which is smaller: v or t? v Let h = 1.2 + -0.2. Let c = 38 + -116/3. Do h and c have the same value? False Suppose -3*h - 2*q + 2 = 0, -3*h + 0*q - 4*q = 2. Let d = 0.4 - 3.4. Is d < h? True Suppose 0 = 2*r + 3*r + 2*v - 5, -2*r = 3*v + 9. Let x be -1 + r + (-64)/28. Which is greater: 0.2 or x? 0.2 Let u(z) = -20*z - 6. Let h be u(-4). Let x = -316324/4279 - 100/389. Let o = h + x. Is -1 less than o? True Let l = 227 + -1592/7. Let c = 5 + 1. Suppose c = 5*v + 1. Which is greater: v or l? v Let o = 5 + -9. Let n be (o/5)/((-4)/(-30)). Let z be (-1)/(3/n) + 1. Is 3 at most as big as z? True Let o = 0.13 + -0.03. Which is bigger: o or -9? o Let t = -3 + 6. Let v(d) = -2*d**2 + 3*d + 4. Let u be v(t). Suppose 0 = o - 1 + 5. Is o less than u? False Suppose 49 = -6*z + 1. Which is smaller: z or -12? -12 Let r(v) = -2*v**3 - 3*v**2 - 5*v - 4. Let l be r(-2). Is l at least as big as 9? True Let s(b) = -b. Let v(u) = u + 1. Let w(c) = 4*s(c) + 3*v(c). Let o be w(-4). Which is bigger: -2/3 or o? o Let z be 20/4*-1 + 4. Are -1/106 and z nonequal? True Let n = -36 + 21. Let g = n + 8. Let r = g + 7. Which is bigger: r or 2/7? 2/7 Suppose 3*s - 18 - 9 = 0. Let w be (1 - 0)*(5 - 3). Let i be (-114)/27 + w/s. Are i and -2 nonequal? True Let t = 0 - -0.9. Let v be (1/8)/(3/(-6)). Which is smaller: v or t? v Let w = -83.9 + 84. Which is bigger: w or 40? 40 Let k be ((-2)/12)/(14/(-21)). Is -0.18 less than k? True Suppose -6*g = -8*g. Let r be ((-8)/(-34))/(-2 - g). Which is bigger: r or 0? 0 Let j = 1781/4792 - -2/599. Which is smaller: 1 or j? j Suppose -5*m = 15, 4*w + 7*m - 3*m - 116 = 0. Is w at least 31? True Let d(p) = -p**3 - 6*p**2 + 2. Let c be d(-6). Suppose -c*m = -m + 3. Let a(x) = -x**2 + 3*x - 2. Let w be a(2). Is w >= m? True Let s = -7 - -10. Suppose 0*x = s*x. Is x bigger than 1/8? False Let l be 4/(-10) - 118/5. Let p be 13/4 + (-18)/l. Suppose -4*b + 0*b + 16 = 0. Is b >= p? True Let j = 4.11 - 0.11. Let s = j + -4.1. Let r be ((-2)/6)/((-6)/18). Which is smaller: r or s? s Suppose -b + 2*q - 19 = 0, -2*q = 3*b - 7*q + 58. Is b at least -21? True Let g = 11 + -6. Let y = 15 - g. Let z = -13 + y. Is -3/2 > z? True Let d = -16 + 22. Let h be (3/(-3))/(4/(-20)). Which is smaller: h or d? h Let t = 24 - 25. Suppose -20 = -5*b - 0*b, 16 = -3*l + b. Let u = -6 - l. Which is bigger: t or u? t Suppose -2*n = -0*n - 3*z + 6, 5*z = 4*n + 14. Let c = n - 3. Do c and -0.1 have the same value? False Suppose 6*j = 3*j - 15. Let s(m) = m**2 + 7*m - 1. Let g be s(j). Is g <= -11? True Let h = -1 + -3. Let a be (3 - (-10)/h)*0. Which is greater: a or -3? a Suppose -6 = 2*q + 3*d, 9 = 3*q - 5*d - 1. Is q greater than or equal to -2? True Let t = -66 + 68. Let m = -2 + -1. Is m greater than t? False Suppose c - p = 5*c - 233, 0 = -c - 5*p + 44. Which is smaller: c or 58? 58 Let u = -6 - -9. Let c = u - -16. Let i be 2 + (-2)/(20/c). Which is smaller: i or 1? i Suppose w - 36 = s, 4*s + 104 = -0*s - 4*w. Are s and -30 equal? False Let c(w) = -w**2 - 17*w - 2. Let o be c(-18). Which is smaller: -21 or o? -21 Suppose h - 3*l = 4*h - 3, 2*h - l = 5. Suppose -h*u = -3*p - 0*u + 7, -3*p - 3*u = 3. Which is smaller: p or 1/3? 1/3 Let s be ((-2)/(-3))/(2/6). Suppose -5*b + 36 = -s*b. Is b equal to 11? False Let b = -0.1 + 0.05. Is 2 less than or equal to b? False Let m = 1.2 - -0.8. Let j = 0.2 + -0.1. Let c = j - 0.2. Which is smaller: c or m? c Suppose -14*q = -20*q. Which is bigger: 2 or q? 2 Suppose 4*k - 57 = -17. Which is bigger: 9 or k? k Let f = 3 - 2. Let n = f - 1. Suppose -4*h + 5 = -y, -3*h + 0*h + 21 = 5*y. Which is bigger: h or n? h Let n(w) = -w**3 - 17*w**2 + 18*w - 43. Let f be n(-18). Which is bigger: -44 or f? f Let p = -1.6 + 1.49. Let f = 0.91 + p. Let k = -0.7 + f. Which is bigger: k or 0.5? 0.5 Let p be 2/6*(-27)/8. Let s(w) = w**2 + 3*w - 1. Let x be s(-3). Is x > p? True Let o = 151/9 - 3769/225. Are o and 1 non-equal? True Suppose 2 = -6*b + 2. Is -2/11 at least as big as b? False Let u = -23 + 23. Is u equal to 2/11? False Suppose -4*i + 2*k + 10 = 0, -17 - 3 = -i + 4*k. Suppose 0 = 5*d + 2*y - 3 - 3, 0 = -2*y + 6. Is i smaller than d? False Let y = -12 - 8. Let a = 20 + y. Which is greater: -0.3 or a? a Let z be (-2 + 3)*(0 + -4). Let q be (6/(-27))/(z/6). Let h = -1 + 0. Is h smaller than q? True Let w be -3 + ((-4)/(-146) - -3). Which is smaller: w or 0? 0 Let u = -2 + 2. Let y(j) = j - 1. Let l be y(3). Does l = u? False Suppose 5*p = r - 25, -53 = -4*r - p + 5. Is r at most 15? True Suppose -13 = 3*w + 35. Let p = w + 17. Which is greater: -4/11 or p? p Let f(k) = -k - 14. Let v(m) = -m - 13. Let x(n) = 3*f(n) - 4*v(n). Let p be x(-12). Is -1 equal to p? False Let u(q) = q**2 + 6*q. Let k be u(-6). Suppose y = 0, 3*y = -5*l - 3 + 8. Let h = k - l. Which is greater: h or 1/3? 1/3 Let t be ((-2)/(-6))/(21/63). Which is smaller: -2/43 or t? -2/43 Let i = 13771/34 - 405. Is i > 1? False Let p = -0.1 - -0.05. Let g = 0.18 - -1.82. Is g smaller than p? False Let y(c) = c**3 - 5*c**2 - 6*c + 1. Let o(h) = h**2 + 8*h + 6. Let z be o(-8). Let i be y(z). Suppose 0 = -2*x - i - 3. Is 0.2 smaller than x? False Suppose -4*t = 2*f + 14, -2*f = 3*t - 2*t - 1. Let k be (-5 + 0 - 0)/1. Is k bigger than t? False Let m(b) = -2*b - 2. Let d be m(-3). Suppose 64 = -4*a + d*h, 7*a = 2*a - h - 62. Is a <
{ "pile_set_name": "DM Mathematics" }
)/o. Let k = -0.06 - 3.94. Which is the closest to i? (a) k (b) 2/9 (c) -0.4 b Suppose -15*r = -12*r - 6. What is the closest to r in 0.5, 0.03, -2? 0.5 Let m(y) = -2*y - 7. Let r be m(-7). Let b be (-18)/22 - (r - 8). Let a = -3.1 + 3. What is the closest to -2 in a, b, 4/5? a Let s be 1 - -3 - 28/7. What is the nearest to s in 5, -1/9, -3? -1/9 Let c = -7 - -5. Let u = c + 1.9. What is the nearest to 3 in 0.1, u, 4? 4 Let x = -58/3 - -176/9. Let o = -34.9 + 35. Which is the closest to o? (a) -2/13 (b) -0.5 (c) x c Let r be ((-18)/16)/((-21)/(-28)*-1). What is the nearest to -1 in -7, r, 0.2? 0.2 Suppose 4*y - 2 = 2*h - 4*h, -26 = 4*h - 2*y. Let o = 78 + -80. What is the nearest to -3/2 in h, 0, o? o Let h = -2.08 + 2. Let p = h - -1.08. Let d = -0.6 + p. What is the nearest to -1 in -3/5, d, -0.1? -3/5 Let g = 1.2 - 1.3. What is the closest to -2 in 0.3, g, 0.4? g Let m = -3 + 2. Let w = -20 - -18. Which is the nearest to m? (a) -4 (b) w (c) -2/17 c Let r = 77.5 + -78. Which is the nearest to -2/5? (a) 2 (b) r (c) -1.7 b Let l = 181 + -181.97. Let o = l + -0.03. Let w = -14.1 - -14. What is the nearest to o in 0, w, 0.4? w Let k = -11 - -5. Let p = -3 - k. Let f = 0.1 - 0.4. Which is the nearest to -2/3? (a) p (b) f (c) 2/7 b Let m = -643/5 + 129. Suppose -11*f + 7*f = 0. Let p be f + 2 + (-2 - 4). What is the closest to m in p, 0, 2/3? 2/3 Let u(c) = 24*c - 4. Let p be u(6). Let t be p/(-98) - 2*-1. Let x = -5 + 10. What is the nearest to 0 in 4, x, t? t Let s = -3 - 1. Let p = 29.8 - 29.3. Which is the closest to 1? (a) 5 (b) s (c) p c Let i = 0.11 - -0.19. Which is the closest to -0.2? (a) 1 (b) 1/4 (c) i b Let o = 3 - 8. Let p = o - -9. Let l = -2.31 + 2.51. What is the nearest to 0 in l, 1, p? l Suppose 8*o = -4*y + 3*o - 14, 3*y + 2*o + 7 = 0. What is the closest to y in -3, 0.3, 0.1? 0.1 Let k = 77.7 - 81. Let v = k - -3. What is the nearest to -1 in -5/3, -1/10, v? -5/3 Let f = -8 + -1. Let h = 3/14 - -1/14. What is the closest to h in -3/2, 3, f? -3/2 Let u = 34 + -24. Let f = 14 - 12. Suppose -f*q + 0*q = -u. What is the closest to -1 in 0.5, q, 4? 0.5 Let q = -17 + 16. Suppose -r = -1 - 3. Which is the nearest to q? (a) -5 (b) r (c) -3 c Let i = -0.11 + -0.19. Which is the closest to -0.1? (a) -3 (b) 0.02 (c) i b Let r be 3/(-2)*(-2)/3. Let z = -0.1 - -0.3. Which is the closest to z? (a) 0.1 (b) 3/8 (c) r a Let d = -1.1 - -2.1. What is the closest to -1 in d, 1/7, 5? 1/7 Let j be ((-4)/(-12))/((-4)/3). Let d = -0.6 - -0.5. What is the nearest to j in 1, 4, d? d Let s = 395/6 - 66. What is the nearest to -1/4 in s, 3, -3? s Let c = 10 + -4. Let n = c - 5.8. What is the nearest to n in 5, -0.2, -3? -0.2 Let v = -0.019 - 0.981. What is the closest to 1 in -2, 0.4, v? 0.4 Let d(m) = m**3 + 10*m**2 - 3*m - 5. Let r be d(-5). Let w be -2 - (-3)/(r/96). What is the closest to -1 in w, -1, 5/3? -1 Let n = -1 + 2. Let o be 6 + -2 - (-8)/(-2). Which is the closest to o? (a) n (b) -2 (c) 0.2 c Let q = -0.994 + -0.006. What is the closest to 1/3 in q, 3, 0.4? 0.4 Let h be 51/5*12 - 1. Let q = 121 - h. Let y(a) = -a - 1. Let j be y(-1). What is the nearest to q in 1/3, j, -2/7? -2/7 Let g = 0.08 - -11.32. Let f = -11 + g. What is the closest to -1/4 in -5, 5, f? f Let q = 1.09 + -0.09. Let m = q + -2. What is the nearest to m in 1, -5, 0.4? 0.4 Let p = 14 + -10. Which is the nearest to 0.1? (a) 1 (b) -0.5 (c) p b Let u be 368/(-820) + (-1 - -2). Let z = -2/41 - u. What is the nearest to 1 in z, 3, -0.5? -0.5 Let d be 1*(-1)/(0 + -6). Let z = 10 - 15. Which is the nearest to d? (a) 5 (b) 0.5 (c) z b Let k = 148 + -1922/13. Let t = 3 - 3. Let x = -30.8 + 31. What is the closest to -1 in k, t, x? t Let p = -0.06 - -0.16. Which is the closest to p? (a) 2/9 (b) 5 (c) -1 a Let n = 241/819 - 1/117. Let z = -3.07 - -0.07. Let r = -2 + z. What is the closest to n in r, 3, -0.4? -0.4 Let p = -0.1 + 0.2. Let v = 1.54 + 13.06. Let r = v - 15. Which is the nearest to p? (a) -0.2 (b) 0.3 (c) r b Let h = -2 - -2.5. Let n = -0.85 + -0.15. Which is the closest to n? (a) 1/7 (b) -3/5 (c) h b Let n = 2 - 1. Suppose 5*m - 2*z = 3 + n, 0 = -4*m - 4*z - 8. Let g = 11/6 + -13/6. What is the nearest to m in 5/2, 3/2, g? g Let d be 161/210 + 6/(-10). Which is the nearest to -1? (a) 1/12 (b) -1/4 (c) d b Let w be 0 + 2*5/45. Which is the nearest to w? (a) -5 (b) -3 (c) -2/7 c Let w = -177537/5 + 35386. Let t = -121 - w. Let u = 2 + 1. Which is the closest to 1? (a) 0 (b) u (c) t c Suppose 5*c = 0, -c + 7 + 1 = -2*k. What is the closest to -1 in k, 0.3, -2? -2 Let t = 9.3 - 10. Let y = t + 0.2. Which is the nearest to 0.1? (a) y (b) -2/7 (c) -4 b Let r = -0.1 + 0.3. Let k = -0.05 + 2.05. Let c(m) = -m**3 - 8*m**2 - 2. Let s be c(-8). What is the closest to r in k, 3/5, s? 3/5 Let w = -0.127 - -2.127. Let d = 0.2 - 0.5. What is the closest to w in -3, 2, d? 2 Let g = 9 + -9. Let h = 35 - 39. What is the nearest to g in h, -4/3, 2? -4/3 Suppose -2*w - 2 = -c, 2*w - 2*c = -0 - 6. Let q = 1.77 + -1.47. What is the nearest to 2 in w, q, -1/7? w Let j = -1711/7 + 244. Which is the closest to 0? (a) 1/11 (b) j (c) 3/2 a Let v = 0.8 - 0.9. Let m be 3/1 - (-15)/(-5). Let d = m + 2. Which is the nearest to -0.2? (a) 0 (b) d (c) v c Let m be (-2)/(-12) + (-35)/(-60). Which is the closest to -1? (a) 2/5 (b) m (c) 2/3 a Let i be 4/(-18)*(-2)/2. Which is the closest to -4? (a) -2/13 (b) 0 (c) i a Let r be 3/(-2)*(0 + 2). Let j = -2.52 - -2.12. What is the closest to 0 in -2/13, j, r? -2/13 Let q be (2/10)/(2/6). Let f = -0.14 - 2.86. Which is the closest to -2/7? (a) q (b) f (c) -1/2 c Suppose 2*l = -10, -2*r - 3*l - 35 = 3*r. Which is the nearest to 0.1? (a) 3 (b) r (c) 0.3 c Let x = 5 + -5.1. What is the closest to x in -10, 1/5, 1? 1/5 Let g be ((-254305)/(-10))/((-147)/(-2)). Let m = -346 + g. Let t = -289/735 + m. What is the nearest to t in -2, 1, 0.4? 0.4 Let i = -17 - -37. Let p = i - 41/2. Suppose 3*k = 7*k + 20. What is the closest to 1 in k, -2, p? p Let r = -0.9 + -4.1. Let s(g) = g**3 - 8*g**2 - 7*g + 6. Let j be s(8). Let i be 1/5*j/40. Which is the nearest to i? (a) -0.2 (b) -2 (c) r a Let t = -0.006 - 0.014. Which is the nearest to t? (a) -2/9 (b) 3 (c) 0.2 a Let q = -3.04 + 3. What is the closest to 0 in q, -3/2, -0.4? q Let d = 18.3 - 18. Let h(k) = -k**2 + 2*k. Let u be h(1). What is the nearest to 0.1 in u, d, 2? d Suppose -4*u + u = -3. Let k be u + -3 + -4 + 1. Let b = 0.6 - 0.1. What is the nearest to 1 in k, -1/7, b? b Suppose 3*u + 0 = -3. Let m be (-4 + 24)*(-2)/4. Let n be (-12)/15*m/4. Which is the closest to u? (a) 2/5 (b) n (c) -5 a Let q = 22 - 22.5. Let l = q + 0.1. What is the closest to 0 in 5, 0.1, l? 0.1 Let z(u) = -2*u + 3. Let m be z(-1). Which is the nearest to 1? (a) 3 (b) m (c) -0.3 c Let s be 1/4 - 294/728. Let o be (-1)/(-2) - 3/2. What is the nearest to o in -0.3, s, 0.2? -0.3 Suppose -2*q - 19 = 2*q + t, 0 = -5*t - 15. Let k be 40/16 + 2/4. Let z = -5.4 + 5. Which is the nearest to -2? (a) k (b) q (c) z c Suppose 4*q - 11 = 3*l, -7*q + 16 = -2*q - 3*l. Which is the nearest to -2/3? (a) q (b) -1 (c) 0 b Let k = 17 + -17.2. Let t(v) = 2*v - 9. Let q be t(6). Let b be (2/q)/(8/3). What is the nearest to 1 in -4, k, b? b Let p = -2.5 + 0.5. Let o be ((0 + -1)*-6)/7. Which is the closest to p? (a) 0.2 (b) 5 (c) o a Let t = 0.1 + 0.8. Let x = 1 - t. Let b be (-1)/(-3) + 7/(-12). What is the closest to x in 1/4, b, -1? 1/4 Let r be 286/60 - (-4)/10. Let l = r + -14/3. Which is the nearest to -2/3? (a) l (b) -4/3 (c) -1/2 c Let z = 41 - 46. Which is the nearest to -2? (a) z (b) 0.1 (c) -3 c Let q = -4 + -5. Let x = 8.9 + q. Which is the nearest to x? (a) -5 (b) 1/3 (c) 0.5 b Let q(t) = -t**2 - 11*t - 10. Let o be q(-10). Let r = -1 + -2. Let s be ((-10)/6 + 2)/r. Which is the nearest to 0.1? (a) -0.2 (b) o (c) s b Let n = 8 - 12. Let o = 7 + -3. Let t(k) = k**3 - 21*k**2 + k - 21. Let j be t(21). Which is the closest to -1? (a) n (b) j (c) o b Let g(z) = 9*z**2 + 5*z - 4. Let f be g(-4). Let r = -1201/10 + f. Let n = 87 - 607/7. Which is the nearest to n? (a) 1/4 (b) 2 (c) r a Let l = -33.1 + 33. What is the closest to l in -0.
{ "pile_set_name": "DM Mathematics" }
factor of n? True Suppose -3*k - 16 = -22, -726 = -2*b + k. Is b a multiple of 14? True Let c be ((-1)/(-2))/(2/32). Suppose -8 = -3*r - 20. Is 15 a factor of 93/6 + r/c? True Let t(j) be the third derivative of -j**6/120 - j**5/20 + 5*j**4/24 + j**3/2 - j**2. Let r = -360 + 355. Does 28 divide t(r)? True Let r(q) = -1063*q - 37. Is r(-1) a multiple of 9? True Suppose -r + 5 = -9*p + 4*p, -r = -5. Suppose -9*a + 270 = -p*a. Is 15 a factor of a? True Let h(a) = a**3 - 9*a**2 + 7*a + 9. Let t be h(8). Let i(f) = 2*f**2 - 2*f - 6. Let p be i(3). Does 3 divide t*4 - 6/p? True Is 2 a factor of (11/(-5))/(-11) + 159/5? True Suppose 0 = 4*y + 3*i - 16, 5*i + 3 = y - 1. Suppose -z + 5 = y*z. Does 6 divide 0/(-9) + 15*z? False Let g = 43 + -40. Suppose -5*h + g*z = -265, 3*z + 142 = 4*h - 67. Is h a multiple of 14? True Let n(o) = o**2 + 14. Let b be n(5). Is -18*(-8)/6*b/12 a multiple of 4? False Suppose v - 1 - 1 = 0. Suppose s - d = 8, -v*d - 6 - 4 = 0. Suppose m + 3*m - 501 = -5*j, s*j + m - 302 = 0. Is j a multiple of 18? False Let x be (-35210)/(-15) - (-1)/(-3). Suppose 3*j + x = 5*w, 5*j + 3*w = 4*j - 801. Is j/(-12) - 2/(-8) a multiple of 12? False Let t be (-1 - -10)/((-2)/2). Let g be (-4 - -5) + 88/2. Does 24 divide t/(2 - 5) + g? True Suppose 0*u = -2*u + 14. Let r be (5 - u)*(-2 - 0). Is -12*6/(-16)*r a multiple of 12? False Let o(s) = 4*s**2 + s + 5. Let i(q) = -q**2 - 1. Let m(u) = -9*i(u) - 2*o(u). Let k be m(-11). Is 12 a factor of (-1 + k)*(-5)/(-15)? False Is ((-2016)/294)/(2/(-105)) a multiple of 28? False Suppose 118 = -2*r + 570. Suppose 0 = 3*q - 161 - r. Does 39 divide q? False Let f(i) = -i**3 - 12*i**2 - 29*i - 4. Let k be f(-9). Let s(z) be the second derivative of z**4/12 - 2*z**3 - 7*z**2 + 3*z. Does 9 divide s(k)? False Suppose -26*r + 650 = 4*q - 24*r, -5*r = -15. Is 7 a factor of q? True Let y be ((-447)/6)/(1/2). Let z = 239 + y. Does 30 divide z? True Suppose 0 = y + 59 - 94. Does 21 divide y? False Suppose 0 = -3*t + 6 + 9. Let y be 4332/84 - (-6)/14. Suppose x = t*x - y. Is 3 a factor of x? False Let c(h) be the second derivative of h**4/12 - 7*h**3/6 - h**2/2 + 5*h. Let f be c(6). Does 25 divide (2/4)/(f/(-434))? False Suppose 7*p = 6*p - 66. Let s = p - -185. Is 17 a factor of s? True Let h = -816 - -1938. Does 11 divide h? True Let s(q) = -109*q + 257. Does 52 divide s(-11)? True Let f(y) be the second derivative of y**2/2 + 7*y. Let t(q) = 4*q + 10. Let x(p) = 2*f(p) + t(p). Does 22 divide x(9)? False Is 104 a factor of (-14)/8*(14 - 45954/27)? False Suppose 8*c - 3*c + m = 8777, 6 = -2*m. Does 20 divide c? False Let j(u) = -2*u**3 - 11*u**2 + 7*u + 7. Let b be j(-6). Is b/(-1)*-4 - -122 a multiple of 18? True Let p = -79 + 367. Does 36 divide p? True Suppose 8*n + 2*t - 742 = 3*n, 4*t + 16 = 0. Is 11 a factor of n? False Suppose -5*c = -297 - 653. Let p = 333 - c. Let t = p + -15. Is 34 a factor of t? False Suppose -55*g + 33364 = 21*g. Is 8 a factor of g? False Let y(r) = -4*r**2 + 7*r - 5. Let q be y(4). Let n = q - -2. Let g = 39 - n. Is g a multiple of 21? False Suppose 0 = -14*j + 13*j + 1. Does 27 divide (-2)/j*438/(-12)? False Let q(s) be the second derivative of s**5/60 + 5*s**3/3 - 5*s. Let j(z) be the second derivative of q(z). Is j(11) a multiple of 22? True Does 25 divide 6*(-121)/(-66) + 1132? False Is (8 + (3 - -9))/(4/14) a multiple of 5? True Let b(t) = 4*t**3 - 81*t**2 + 71*t - 11. Let x(g) = 6*g**3 - 121*g**2 + 106*g - 17. Let o(n) = 7*b(n) - 5*x(n). Does 12 divide o(18)? False Suppose -2*s + 2466 = d, 2*s - 5*d - 1133 = 1321. Does 11 divide s? True Let u(s) = s**3 + 12*s**2 - 12*s + 18. Suppose 4*x + 83 = -4*k + 27, -2*k = -3*x - 32. Is 7 a factor of u(x)? False Let n = 1437 - 645. Is 27 a factor of n? False Let a(d) be the first derivative of -10*d**2 + 2*d + 5. Is a(-2) a multiple of 21? True Let y(j) = 107*j**2 + 3*j + 2. Let l(r) = 4*r - 30. Let s(g) = -2*g + 15. Let c(x) = -6*l(x) - 13*s(x). Let n be c(7). Is y(n) a multiple of 24? False Suppose -2*j = -7*j. Is 16 a factor of 71 - (0 - j) - 3? False Let m(x) = x**3 - 3*x**2 + 3. Let r be m(3). Suppose -4 = -s + r. Is 5 a factor of s? False Let k be 0 + -2 - (-54 - -1). Let t = 15 + k. Suppose 2*q = 3*m + t, -m = 2 - 0. Does 15 divide q? True Let q(n) = n**3 - 6*n**2 + 7*n. Suppose v = -0*v + 5. Suppose -h + 0*h = -v. Is q(h) a multiple of 10? True Let h be (2/(-3))/(((-55)/(-75))/11). Let u(a) = -a**2 - 11*a + 5. Does 4 divide u(h)? False Let h = -6 + 8. Let x(w) = -h*w + 4*w - w**2 - 4*w**2 + w**3. Is x(5) a multiple of 3? False Suppose 5*h = -20, 0 = -6*f + 4*f - 4*h + 794. Is 45 a factor of f? True Let h(l) = 597*l**3 + 2*l**2 - 3*l + 2. Let r be h(2). Suppose 5*m = -4*n - n - r, 2*n + 8 = 0. Does 13 divide m/(-24) - (-4)/(-6)? True Let v(c) = 15*c + 3. Let a be v(3). Suppose -3*n + a = 2*d - 52, -d + 3*n + 32 = 0. Is d a multiple of 9? False Let u be (-1*4)/2 - -7. Suppose u*g = 5*o - 5, -2*o + 1 = -g - 3. Suppose -o*r + 48 = -0*r. Is 10 a factor of r? False Suppose -4*u + 2*r - r = -124, 0 = -2*u - 4*r + 80. Let n = 62 - u. Does 27 divide n? False Suppose -9*s - 3*c - 55 = -10*s, 2*c - 192 = -4*s. Is s a multiple of 7? True Suppose 62*q = -51*q + 59890. Is q a multiple of 5? True Let y(v) = -9 + v**2 + 16 + v - 8 + 31*v**3. Suppose 0 = 10*n - 13 + 3. Is y(n) a multiple of 32? True Let s(y) = 21*y + 342. Is 18 a factor of s(12)? True Let f = -17 - -9. Let h = f + 10. Suppose -u = 3*g - 35, h*u + 11 = -4*g + 87. Is u a multiple of 17? False Suppose 86*h + 35720 = 106*h. Is 65 a factor of h? False Suppose 0 = -7*d + 5376 - 1848. Is d a multiple of 14? True Suppose -s + 20 = 3*s. Let u be (-5)/(-3)*(1 - -2). Suppose -4*i + s*n - 3*n = -358, -2*i - u*n = -149. Is i a multiple of 30? False Let j be (0 - 3 - -3)/4. Let k(r) = -r + 25. Let g be k(j). Let w = -9 + g. Is w a multiple of 3? False Let g(p) = 2*p - 19. Let o be g(10). Is ((-10)/(-5) + o)*7 a multiple of 5? False Suppose 0*h + 4*l = 4*h - 560, -664 = -5*h - 4*l. Is h a multiple of 17? True Let u = -187 - -443. Let n = u + -176. Let i = 144 - n. Does 32 divide i? True Is (-18)/63 + (-8)/(-28) + 292 a multiple of 22? False Let a = 2669 - 1734. Is a a multiple of 88? False Let h(c) = -c**2 + 4 + 3 + c - 1 + 0. Let s be h(3). Suppose 3*o + o - 80 = s. Is 10 a factor of o? True Suppose -5 = -5*c, 5*c - 2*c = 5*s - 12. Let z be (s - 40/12)*-3. Does 4 divide 6 - 8/(z*-4)? True Let u(l) = 2*l + 14. Let p be u(-6). Suppose 111 = -h + p*h. Suppose 7*a - 4*a = -3, 0 = 5*t - a - h. Is 9 a factor of t? False Let h = 8 - -2. Does 7 divide (0 - 2) + 5/h*158? True Let d(h) = -h**3 + 4*h**2 + 2*h - 5. Let b be d(4). Let g be 4/12*b + -5. Let r = g + 55. Is 17 a factor of r? True Is 882/35*2/8*110 a multiple of 77? True Let f(j) be the third derivative of j**6/120 + 17*j**5/60 - j**4/6 - 3*j**3 - 9*j**2. Is f(-17) a multiple of 19? False Let j(z) = -5*z**3 - 6*z**2 + 6*z + 5. Does 25 divide j(-5)? True Suppose -28 = -4*i + 16. Suppose t + i = 31. Is 5 a factor of t? True Let g = 198 + 186. Does 35 divide g? False Let y(s) = 124*s - 458. Is y(33) a multiple of 12? False Let z be (1/(-2))/(3/(-30)). Suppose -z - 1 = -2*h. Suppose -4*y + 4*w + 93 + 35 = 0, -h*w = 3*y - 84. Does 30 divide y? True Let x(m) = -m**2 - 4*m + 15. Let d be x(-11). Let n = 152 + d. Is n a multiple of 30? True Let l = 1237 - -55. Is 17 a factor of l? True Let q(l) = 6*l**2 + 13*l + 33. Does 18 divide q(-6)? False Suppose 894 = 1184*u - 1182*u. Does 20 divide u? False Let o = -449 + 644. Is 20 a factor of o? False Let x = 851 + -837. Is x a multiple of 14? True Suppose 33 = 6*v - 615. Is v a multiple of 3? True Let k(w) be the second derivative of 5*w**4/4 + 5*w. Does 13 divide k(2)? False Suppose 0 = -312*k + 294*k + 13680. Does 6 divide k? False Let x(p) = -p**3 + 10*p**2 - 8*p - 3. Let q be x(9). Suppose -2*y - 3*c = 4, -c + 28 = 2*y - q*c. Suppose 0*z - y*z + 112 = 0. Does 14 divide z? True Let y(t) = 27*t + 18. Suppose -4*f + l = -4*l - 1, 2*l = -5*f + 26. Does 14 divide y(f)? True Let d = -6 + 10. Suppose -2*j - d*n - 75 = -n, 4*n - 4 = 0. Let u = j + 69. Is u a multiple of 12? False Suppose -2*o + 3*a = -1, -5*o - a + 8 = -4*o. Suppose o*m - 143 = -3*u + 7*m, -m = -u + 48. Is u a multiple of 22? False Let z = 81 +
{ "pile_set_name": "DM Mathematics" }
git of 1037? 1 What is the tens digit of 2211? 1 What is the units digit of 5267? 7 What is the thousands digit of 10735? 0 What is the tens digit of 548? 4 What is the tens digit of 130900? 0 What is the thousands digit of 56299? 6 What is the units digit of 28657? 7 What is the thousands digit of 3189? 3 What is the units digit of 16409? 9 What is the tens digit of 4587? 8 What is the hundreds digit of 799? 7 What is the hundreds digit of 6478? 4 What is the tens digit of 10253? 5 What is the units digit of 72374? 4 What is the units digit of 4279? 9 What is the tens digit of 151908? 0 What is the ten thousands digit of 28043? 2 What is the thousands digit of 1038? 1 What is the tens digit of 50690? 9 What is the tens digit of 1789? 8 What is the units digit of 15147? 7 What is the tens digit of 5067? 6 What is the tens digit of 7196? 9 What is the hundreds digit of 1844? 8 What is the hundreds digit of 5697? 6 What is the ten thousands digit of 18087? 1 What is the ten thousands digit of 26928? 2 What is the ten thousands digit of 12533? 1 What is the hundreds digit of 1388? 3 What is the thousands digit of 51591? 1 What is the thousands digit of 35581? 5 What is the tens digit of 2011? 1 What is the hundred thousands digit of 166928? 1 What is the tens digit of 45162? 6 What is the tens digit of 2844? 4 What is the ten thousands digit of 38375? 3 What is the thousands digit of 1494? 1 What is the hundreds digit of 28022? 0 What is the units digit of 10138? 8 What is the thousands digit of 3102? 3 What is the ten thousands digit of 16115? 1 What is the hundreds digit of 68629? 6 What is the units digit of 8029? 9 What is the ten thousands digit of 16573? 1 What is the units digit of 79975? 5 What is the hundred thousands digit of 136116? 1 What is the thousands digit of 37168? 7 What is the hundreds digit of 1614? 6 What is the tens digit of 6376? 7 What is the hundreds digit of 13520? 5 What is the units digit of 1853? 3 What is the ten thousands digit of 59752? 5 What is the units digit of 4421? 1 What is the tens digit of 99647? 4 What is the tens digit of 3200? 0 What is the hundreds digit of 94872? 8 What is the tens digit of 12500? 0 What is the units digit of 766? 6 What is the hundreds digit of 531? 5 What is the units digit of 125145? 5 What is the hundreds digit of 14933? 9 What is the tens digit of 7314? 1 What is the tens digit of 836? 3 What is the units digit of 309? 9 What is the hundreds digit of 61119? 1 What is the tens digit of 3991? 9 What is the thousands digit of 2743? 2 What is the tens digit of 1419? 1 What is the thousands digit of 17234? 7 What is the thousands digit of 95930? 5 What is the tens digit of 9778? 7 What is the units digit of 2863? 3 What is the ten thousands digit of 19229? 1 What is the hundreds digit of 390? 3 What is the hundreds digit of 809? 8 What is the hundreds digit of 25796? 7 What is the hundreds digit of 8278? 2 What is the hundreds digit of 6499? 4 What is the tens digit of 827? 2 What is the units digit of 2991? 1 What is the ten thousands digit of 153885? 5 What is the units digit of 48483? 3 What is the units digit of 2679? 9 What is the units digit of 9635? 5 What is the thousands digit of 1841? 1 What is the ten thousands digit of 175684? 7 What is the units digit of 23773? 3 What is the thousands digit of 47936? 7 What is the tens digit of 10651? 5 What is the thousands digit of 4150? 4 What is the tens digit of 33154? 5 What is the thousands digit of 1443? 1 What is the hundred thousands digit of 130170? 1 What is the hundreds digit of 7826? 8 What is the hundreds digit of 2120? 1 What is the thousands digit of 6141? 6 What is the tens digit of 1258? 5 What is the units digit of 594? 4 What is the tens digit of 6729? 2 What is the hundreds digit of 6709? 7 What is the tens digit of 103? 0 What is the tens digit of 8284? 8 What is the tens digit of 182? 8 What is the tens digit of 25618? 1 What is the hundreds digit of 6694? 6 What is the hundreds digit of 39663? 6 What is the hundreds digit of 4284? 2 What is the units digit of 148? 8 What is the units digit of 1655? 5 What is the hundred thousands digit of 111085? 1 What is the tens digit of 25442? 4 What is the thousands digit of 1562? 1 What is the tens digit of 13226? 2 What is the hundreds digit of 27717? 7 What is the hundreds digit of 5698? 6 What is the units digit of 2845? 5 What is the units digit of 6? 6 What is the thousands digit of 3972? 3 What is the thousands digit of 1082? 1 What is the ten thousands digit of 14930? 1 What is the hundreds digit of 5226? 2 What is the hundreds digit of 12779? 7 What is the hundreds digit of 137? 1 What is the hundreds digit of 620? 6 What is the thousands digit of 26018? 6 What is the tens digit of 230? 3 What is the tens digit of 2700? 0 What is the thousands digit of 3616? 3 What is the tens digit of 14218? 1 What is the tens digit of 3449? 4 What is the units digit of 48096? 6 What is the tens digit of 443? 4 What is the tens digit of 12463? 6 What is the thousands digit of 2907? 2 What is the thousands digit of 2757? 2 What is the hundreds digit of 22682? 6 What is the units digit of 7721? 1 What is the hundreds digit of 1003? 0 What is the thousands digit of 23749? 3 What is the units digit of 1526? 6 What is the thousands digit of 1328? 1 What is the units digit of 9140? 0 What is the tens digit of 1399? 9 What is the ten thousands digit of 12071? 1 What is the units digit of 3391? 1 What is the tens digit of 14509? 0 What is the units digit of 28467? 7 What is the tens digit of 6058? 5 What is the thousands digit of 12994? 2 What is the ten thousands digit of 10454? 1 What is the tens digit of 2476? 7 What is the units digit of 80783? 3 What is the units digit of 2118? 8 What is the units digit of 829? 9 What is the units digit of 131183? 3 What is the thousands digit of 5156? 5 What is the ten thousands digit of 13066? 1 What is the tens digit of 1539? 3 What is the units digit of 5631? 1 What is the tens digit of 6545? 4 What is the tens digit of 1830? 3 What is the tens digit of 3043? 4 What is the ten thousands digit of 53547? 5 What is the units digit of 2407? 7 What is the tens digit of 2439? 3 What is the ten thousands digit of 29858? 2 What is the hundreds digit of 35006? 0 What is the units digit of 543? 3 What is the units digit of 13596? 6 What is the ten thousands digit of 12807? 1 What is the tens digit of 456? 5 What is the thousands digit of 23589? 3 What is the hundreds digit of 27684? 6 What is the units digit of 23667? 7 What is the hundreds digit of 17907? 9 What is the thousands digit of 6577? 6 What is the units digit of 526? 6 What is the tens digit of 3680? 8 What is the hundreds digit of 6596? 5 What is the units digit of 1882? 2 What is the thousands digit of 4402? 4 What is the thousands digit of 1154? 1 What is the units digit of 6965? 5 What is the hundreds digit of 2832? 8 What is the hundreds digit of 1515? 5 What is the tens digit of 4652? 5 What is the tens digit of 497? 9 What is the thousands digit of 2001? 2 What is the hundreds digit of 10144? 1 What is the thousands digit of 29848? 9 What is the tens digit of 1032? 3 What is the units digit of 20301? 1 What is the hundreds digit of 139647? 6 What is the tens digit of 7525? 2 What is the hundreds digit of 5683? 6 What is the ten thousands digit of 16844? 1 What is the hundreds digit of 4567? 5 What is the hundreds digit of 2733? 7 What is the thousands digit of 3417? 3 What is the tens digit of 7617? 1 What is the thousands digit of 133019? 3 What is the thousands digit of 2376? 2 What is the tens digit of 4502? 0 What is the units digit of 14618? 8 What is the units digit of 4502? 2 What is the tens digit of 4545? 4 What is the tens digit of 178? 7 What is the hundreds digit of 13892? 8 What is the thousands digit of 90609? 0 What is the hundreds digit of 3727? 7 What is the units digit of 661? 1 What is the tens digit of 229? 2 What is the hundreds digit of 897? 8 What is the hundreds digit of 6159? 1 What is the hundreds digit of 157246? 2 What is the units digit of 4357? 7 What is the ten thousands digit of 10928? 1 What is the tens digit of 11997? 9 What is the tens digit of 10392
{ "pile_set_name": "DM Mathematics" }
st common divisor of 44 and o. 4 Let a = -238 - -166. Let p = 151 + a. Let u = p - -41. Calculate the highest common factor of 15 and u. 15 Let t be 0 - (-3)/(1 - 4). Let i = 3 + t. Let n be (-2)/5 + 32/5. What is the greatest common divisor of i and n? 2 Let u(k) = 3*k**2 + 4. Let l be u(2). Calculate the highest common factor of 4 and l. 4 Suppose w + 3 = -u, -5*u - 2*w + 0*w = 0. Suppose 2*l = -3*x + 14, -3*x = -u*l + 10 + 4. What is the highest common factor of 1 and l? 1 Let h(a) = a**2 + 5*a + 5. Let r be h(-5). Let k(y) = -7*y - 36. Let d be k(-13). Calculate the greatest common factor of r and d. 5 Let c(u) = 5*u + 2. Let d(b) = -b**3 - 2*b**2 + 5*b**2 + 3 - 1 + 4*b. Let f be d(4). Let h be c(f). What is the greatest common divisor of h and 3? 3 Let q be -2 + 2 - 2 - -14. Let w = -6 - -5. Let m be 85 + w + 0/2. What is the greatest common factor of q and m? 12 Suppose 38 = s + 3*p, 4*p + 144 = 3*s + 17. What is the greatest common factor of 369 and s? 41 Let m = 4 + -5. Let l be (-3)/((-3)/m)*-5. Suppose -l*r + 380 = 4*f, 4*r = f - 4*f + 303. What is the greatest common factor of r and 9? 9 Let k(t) = -t + 8. Let w be k(4). What is the greatest common factor of w and 8? 4 Let c(m) = m**3 - 8*m + 3. Let v be c(5). Let w(f) = -f**3 - 6*f**2 + f - 20. Let x be w(-7). What is the highest common factor of v and x? 22 Suppose 2*o + 9*x = 4*x + 52, -8 = -4*x. Calculate the greatest common divisor of o and 7. 7 Let v = -677 - -972. Suppose 5*g = -i + v, 100 = 3*g - 5*i - 105. Suppose 107 + 13 = 10*r. Calculate the greatest common divisor of r and g. 12 Suppose 3*u = -2*i + 3, -2*i + 4*u = u - 33. What is the greatest common factor of 81 and i? 9 Let x = 87 + -69. What is the highest common factor of x and 3? 3 Let v be (1/(-2))/(2/(-4)). Let d = 14 + -5. Calculate the greatest common divisor of v and d. 1 Suppose 5 = 5*d - 0. Let f(c) = 3*c - 4. Let x be f(5). What is the greatest common factor of x and d? 1 Suppose 0 = y + 3 - 4. Let m(o) be the third derivative of 5*o**4/24 + o**3/6 + 2*o**2. Let x be m(y). Calculate the highest common divisor of 66 and x. 6 Let h be (17 - 2)/((-4)/(-4)). Suppose 3*u - 2*v = h, u - 3*v - 11 - 1 = 0. Calculate the greatest common divisor of u and 6. 3 Let g(j) = 4*j**2 - 2*j - 5. Let q be g(2). Calculate the highest common factor of q and 2. 1 Suppose u - 8 = -u. Suppose -5*q = -5*c - 50, -u*c = -2*q + c + 35. What is the greatest common factor of 45 and q? 5 Suppose -4*u + 32 = 4*u. Calculate the highest common factor of 10 and u. 2 Let c = 39 + -78. Let d = c - -55. What is the highest common factor of 144 and d? 16 Suppose 0 = 4*s + 2*s - 504. What is the highest common divisor of s and 21? 21 Let h(s) = -s**2 + 13*s - 10. Let i be h(12). Suppose 32 + 10 = i*c. What is the greatest common divisor of c and 84? 21 Suppose 0 = -4*o + 21 + 51. Let c = o + 32. Suppose 4*j = -0*j + 40. Calculate the greatest common divisor of j and c. 10 Let x(g) = -g**3 + 10*g**2 - 4*g. Let p be x(9). Suppose -p = 3*u - 6*u. What is the highest common factor of 5 and u? 5 Let d = 100 - -44. Calculate the greatest common factor of 18 and d. 18 Let n(y) = y**3 - 3*y**2 + 2*y. Let d be n(3). Suppose -d - 9 = -3*j. Let a be 2/(-5) - 7/(-5). What is the highest common factor of j and a? 1 Let d be 1*(1 - -1) - 1. Suppose -d = -3*i + 5. Calculate the greatest common divisor of 14 and i. 2 Suppose -3*s + 3*f = -933, -2*f + 5 = 3. Calculate the greatest common divisor of 24 and s. 24 Let l(h) = -h**2 + h + 5. Let u be l(-6). Let m be u/(-7) + (-4)/14. What is the greatest common divisor of 5 and m? 5 Let y(m) = 4*m**2 - 2 - m**2 - 2*m**2 + 4*m. Let f be y(-6). What is the greatest common factor of 110 and f? 10 Suppose -r - 26 = 3*w, -w + 6*w - 4*r + 32 = 0. Let b = -7 - w. Let z be 8/(1/(8/b)). Calculate the greatest common divisor of z and 8. 8 Let y be ((-1)/2)/(2/28). Let d(t) = 6*t + 6. Let x(u) = 11*u + 12. Let o(z) = 5*d(z) - 3*x(z). Let g be o(y). What is the highest common divisor of g and 45? 15 Suppose 2*x + 5 = -7. Let p = 4 - x. Let g = 1 + 1. Calculate the highest common factor of g and p. 2 Let c = -15 + 25. Let y = -4 + c. What is the greatest common divisor of 48 and y? 6 Let a = 22 + 2. Calculate the highest common factor of a and 216. 24 Let x = 32 + -4. What is the greatest common factor of 308 and x? 28 Suppose -5*l = -l. Suppose l = -2*i - 3*i + 100. Let v(t) = -t**3 + 3*t**2 + 4*t - 2. Let h be v(3). What is the greatest common divisor of h and i? 10 Suppose -748 + 2268 = 5*a. Let o = a + -209. Calculate the highest common divisor of 19 and o. 19 Let n(g) = -4*g**3 - 7*g**2 - 4*g - 3. Let o be n(-5). Calculate the highest common divisor of 38 and o. 38 Let c = -135 - -271. Calculate the highest common factor of c and 17. 17 Suppose -27 = -2*l + 3*w, 0*l + 3*l + 3*w - 3 = 0. Calculate the highest common factor of 42 and l. 6 Suppose 0 = -3*y - y. Suppose y*g + 56 = 4*g. Suppose -5*x + 66 + 144 = 0. Calculate the greatest common factor of x and g. 14 Let u(v) = 17*v - 4. Let f be (-12)/(-18)*(-15)/(-2). Suppose 3*x - 20 + f = 0. Let l be u(x). Calculate the highest common factor of 9 and l. 9 Suppose 0 = 2*m - 3*m + 25. Let d = 24 - 19. What is the highest common factor of m and d? 5 Suppose -u = -5*u + 24. Let l = 10 - u. Let o be 8*(-1)/l*-6. What is the greatest common factor of 108 and o? 12 Let b be 1*(0 - (-9 - 1)). Suppose -5*z + 180 = -z. Let d be z/(-6)*8/(-6). Calculate the greatest common divisor of d and b. 10 Let m be (-3)/5 + 1722/70. What is the greatest common factor of m and 56? 8 Suppose 396 = 3*l - 558. Suppose 82 = 5*u - l. Let v = u - 10. Calculate the highest common divisor of 10 and v. 10 Let z be (6/(-15))/(2/(-130)). Calculate the highest common factor of z and 182. 26 Let c be (-5 - -15) + (0 - 4). Calculate the greatest common factor of c and 15. 3 Suppose 5*f + 249 = 4*n + 1729, -3*f = n - 888. Let j = f - 175. Let g = j - 76. What is the highest common factor of 30 and g? 15 Let x = -10 - -14. Let s(o) = 2*o**2 - 3*o - 4. Let c be s(4). What is the highest common divisor of c and x? 4 Suppose -118 = 3*d - 586. Let p be d + 2 - (5 - 7). Calculate the highest common divisor of 32 and p. 32 Let g(d) = d**2 + 13*d - 19. Let r be g(-15). What is the greatest common divisor of r and 88? 11 Suppose 20 = 4*i + 4*a, 5*i - 3*a = -2*a + 19. Suppose -i*z = -23 + 7. Calculate the highest common divisor of 28 and z. 4 Suppose 6*a = a + 30. Let h(d) = d**3. Let c be h(0). Let q = 42 + c. What is the greatest common factor of a and q? 6 Suppose 2*r + r = 9. Suppose -3 = -2*w + r. Calculate the highest common divisor of w and 3. 3 Let a(v) = -10*v - 5. Let j be -1 + -1 + (-15)/5. Let r = -11 - j. Let c be a(r). Calculate the highest common factor of c and 11. 11 Suppose -720 = 7*l - 12*l. Let y = -8 + 24. What is the greatest common factor of y and l? 16 Suppose 5*l - 72 = 4*l. Calculate the highest common factor of 9 and l. 9 Let m(p) = -p**2 - 8*p - 4. Let u be (6 - 5)/(2/(-8)). Let l be m(u). Let y = -41 - -77. Calculate the highest common factor of l and y. 12 Let z be (4 - 5) + (-1)/(-1). Suppose -3*s = -2*k - 15, 3*k - 16 = -s - z*k. Calculate the greatest common divisor of s and 1. 1 Suppose 12 = 5*p - 2*p. Suppose -d + 9 = -0*d. Let f be 0 + 2 + 17 + d. What is the highest common factor of p and f? 4 Let t = -66 - -70. What is the highest common divisor of t and 3? 1 Suppose -362 = -6*v + v + 2*d, -v = 2*d - 70. Calculate the highest common factor of v and 180. 36 Let p = -17 - -18. What is the greatest common divisor of 2 and p? 1 Suppose 198 = s + 2*s. Calculate the greatest common divisor of 44 and s. 22 Let t(k) = k**3 + 2*k**2 - 4*k - 3. Let g be t(-3). Suppose -4*y + 38 + 178 = g. What is the greatest common divisor of y and 6? 6 Suppose l = j + 8, -j = -8*l + 3*l + 56. Calculate the greatest common divisor of 96 and l. 12 Suppose -5*h - 64 = -389. Calculate the highest common divisor of 13 and h. 13 Let z = 125 + -60. Let q(b) = b - 1. Let v(o) = -2*o**2 - 8*o + 8. Let u(r) = -4*q(r) - v(r). Let m be u(-5). What is the highest common divisor of z and m? 13 Suppose 0 = 2*b - 3*b + 8. Let y = 0 - -2. Calculate the highest common divisor of y and b. 2 Let j(p) = 3*p + 3. Let v be j(6).
{ "pile_set_name": "DM Mathematics" }
4 (c) -2/81 c Which is the fourth smallest value? (a) -51 (b) 0.4 (c) -19 (d) -0.3 b Which is the fourth biggest value? (a) -64 (b) 0.05 (c) -1 (d) 2 (e) 4 c Which is the smallest value? (a) -28064 (b) -3 (c) 2 a Which is the second smallest value? (a) -4 (b) 6.6 (c) -24 (d) -2 a Which is the fourth biggest value? (a) -168 (b) -0.02 (c) 1/3 (d) -3 (e) 0.1 (f) 2/21 b Which is the third smallest value? (a) 0.1 (b) 2/41 (c) -15 (d) 3 (e) -5 (f) -12 e Which is the fourth smallest value? (a) 1.3 (b) -1/4 (c) -42 (d) 9 d Which is the second smallest value? (a) -0.5 (b) 3 (c) -0.074 (d) -0.87 (e) -0.3 a Which is the fourth smallest value? (a) -0.2 (b) 2/11 (c) -1 (d) 44/5 (e) 21 (f) 0 b Which is the fifth biggest value? (a) -0.1 (b) 5732 (c) 5 (d) 0.07 (e) -3 e What is the fourth biggest value in 0.7, -7/11, 0.1, 57? -7/11 Which is the sixth smallest value? (a) -6 (b) -0.117 (c) -8 (d) 5 (e) -3 (f) 1/4 d Which is the third biggest value? (a) 3 (b) -118.61 (c) 4.3 b What is the biggest value in -0.05, 396, 471? 471 What is the fifth biggest value in 11/2, 0.2, -4.9, -2, 26, 1/7? -2 Which is the second smallest value? (a) -0.278 (b) 2/9 (c) -1/3 (d) -4/5 c What is the fourth smallest value in 1/3, 4, -1/7, -1, -566/91, 1? 1/3 What is the smallest value in -1/4, 1/7, 2/7, 318, 0.3? -1/4 Which is the third biggest value? (a) 10 (b) -0.17 (c) -9.9 c Which is the third biggest value? (a) 0.2 (b) 4/133 (c) 1 (d) 0.88 a What is the smallest value in 0.02, -1/2, -2, -3/5, 198? -2 What is the third smallest value in -3/371, 1/4, -8? 1/4 Which is the second smallest value? (a) -0.11 (b) 17 (c) 1 (d) 19 c What is the second biggest value in -6/11, 5, 59, -2? 5 What is the third biggest value in 1, 209088, -1/6? -1/6 What is the smallest value in 0.3, -2, 1.5, 7? -2 Which is the third smallest value? (a) 0.3 (b) 1.6 (c) 1 (d) -5/2 (e) -1 (f) -1/9 f What is the third biggest value in -7, 3, 0.4, 5, -89, 0? 0.4 What is the third biggest value in 0.376, 2, -1.34, -2/5? -2/5 What is the second smallest value in 2, 65/2, 0.4, -5, 1? 0.4 What is the third smallest value in -0.2, 1, -90/83, 3? 1 Which is the fourth biggest value? (a) 9 (b) 1/5 (c) -176/9 (d) 14 c Which is the fourth biggest value? (a) -258 (b) -0.5 (c) 0.214 (d) -0.2 a What is the third smallest value in -1/5, -24.7, 122, -3? -1/5 Which is the second smallest value? (a) -0.5 (b) 3 (c) 2/27 (d) 0 (e) -2 a What is the biggest value in -415, 22, -3, 2? 22 Which is the biggest value? (a) -5 (b) 1/4 (c) 1/39723 b What is the third biggest value in -50, -5, -2, 4, -4? -4 Which is the smallest value? (a) -4 (b) 17 (c) 213 a What is the smallest value in -0.03, -21, 2/15, -9, -121? -121 Which is the biggest value? (a) -3 (b) 1 (c) 1/4 (d) 0 (e) 0.1 (f) 73 f Which is the fourth biggest value? (a) -0.061 (b) -0.5 (c) -4 (d) -0.3 (e) 18 b Which is the second biggest value? (a) -0.08 (b) 2061 (c) 19 c Which is the fourth biggest value? (a) -106.6 (b) 1 (c) 4/3 (d) 5 a What is the smallest value in -12, 6, -1.5, 1, -5? -12 Which is the fifth biggest value? (a) 99 (b) -3 (c) -7 (d) 0.2 (e) 2 c What is the second smallest value in 0.17, -3, 2/7, -5, 2? -3 Which is the third smallest value? (a) -9 (b) -2690 (c) 0.3 c What is the fourth smallest value in 78943, 0.4, 6, -0.1? 78943 Which is the third biggest value? (a) -2 (b) 2199 (c) -3/5 a What is the third smallest value in 6, -1, 2, 107, 0.5, 0? 0.5 What is the third smallest value in 1, 1/10, -2/3075, -4? 1/10 Which is the fourth smallest value? (a) 3/7 (b) 4/5 (c) 239/6 (d) 0.02 c What is the smallest value in -0.8, 4, -0.3, 9, 0.1? -0.8 What is the biggest value in 32, 17/8, -1/5, 1.3, -2/11? 32 What is the second biggest value in -484, -6, 0.06? -6 Which is the second biggest value? (a) 0.1 (b) 0.4 (c) 0.3 (d) 7 (e) 21141 d What is the fourth biggest value in 2, 1.8, -26, -4/5? -26 What is the fourth biggest value in -7/15, -3/13, 25, -0.09? -7/15 Which is the second biggest value? (a) 1797 (b) 9 (c) -5 b Which is the smallest value? (a) -1/5 (b) 0.35 (c) -3/5 (d) -0.06 (e) 4 c What is the fourth biggest value in 0, -3, 440, -0.07? -3 What is the biggest value in -0.00495, 1, 13? 13 Which is the third smallest value? (a) 4 (b) -10 (c) -1.28 (d) -3/34 d What is the second biggest value in 17, 5/4, 10/9, -5, 2? 2 Which is the third smallest value? (a) -1 (b) 0.5 (c) 1 (d) 16.4 (e) 1/51 b What is the biggest value in 5, 2/11, 2097, -0.2? 2097 What is the third biggest value in 45, 5, -0.03, -4, -0.5? -0.03 Which is the third biggest value? (a) -592 (b) -0.5 (c) 1 (d) 1/3 b What is the third smallest value in -4, -69, 185? 185 What is the smallest value in 1/190, 5, 41? 1/190 What is the second biggest value in -3, -25, -0.2, 0.03, -0.3, -5.92? -0.2 Which is the biggest value? (a) 24 (b) 1 (c) -19 (d) 0.5 a Which is the second biggest value? (a) 1.8 (b) -2 (c) 3 (d) 6 (e) 0.041 c Which is the second biggest value? (a) -3 (b) -1 (c) 1 (d) 4 (e) 4370 d What is the biggest value in 11/26, 2/5, -0.06? 11/26 What is the biggest value in -4, 5, -1, 1/3, 2/1281? 5 Which is the second smallest value? (a) 3 (b) 28836 (c) 1 a What is the second biggest value in -23/4, -0.3, 2/11, -10/11, -2/13? -2/13 Which is the biggest value? (a) 5 (b) -19/21 (c) -0.03 a What is the fifth biggest value in 4/7, 0.2, 9, 3, 5? 0.2 Which is the second biggest value? (a) -11/5 (b) -1/2 (c) 0.5 (d) 4 (e) -0.06 c Which is the fifth biggest value? (a) -4 (b) 1 (c) -0.3 (d) 2/7 (e) 20 (f) 2/3 c What is the smallest value in -4, 40.762, -6, 0.5, 0.2? -6 What is the fourth biggest value in 101.06, -0.5, 4, -15? -15 Which is the fourth biggest value? (a) -0.5 (b) 0 (c) -12318 (d) -6/11 c What is the smallest value in 1/3, -0.4, -1, -370, 0.3, 3/5? -370 Which is the second smallest value? (a) 2 (b) 32 (c) 18 c What is the smallest value in -1/5, -70.71, 2, 4/9? -70.71 What is the second smallest value in -4, -3/4, -0.5, 0.2, 0.366, 0.06? -3/4 Which is the biggest value? (a) 4 (b) 80 (c) -149 b What is the third biggest value in -4/7, 0.3, 2.834, 3? 0.3 Which is the second smallest value? (a) 1031 (b) -3 (c) 3 c Which is the third smallest value? (a) 5 (b) 0.5 (c) -5/3 (d) 1 (e) 0.07 b What is the third smallest value in -1/5, 0.1, 1/4, 33, -0.1? 0.1 What is the fifth biggest value in 18, -66, 0.5, -2/11, 0.1? -66 What is the second smallest value in -111.9, -13, -10, -3? -13 Which is the third biggest value? (a) 17 (b) -4.75 (c) 6 b Which is the fourth smallest value? (a) -6 (b) -5 (c) 3 (d) 0.02016 c Which is the third biggest value? (a) 0.43 (b) 19 (c) 4 (d) -2 a Which is the second smallest value? (a) -2711 (b) 1/7 (c) 1/15 c Which is the fourth biggest value? (a) 29/7 (b) -3 (c) -0.04 (d) -2 b What is the smallest value in -46, -2, 0.5, 0.9, 105? -46 What is the third smallest value in -6, 288, -1, 5? 5 What is the smallest value in 35/6, -7/3, 165? -7/3 What is the second smallest value in -75, -0.3, 2/43? -0.3 What is the third smallest value in -104, -1/3, -170.9? -1/3 Which is the smallest value? (a) 0 (b) -9 (c) -74/5 c Which is the second biggest value? (a) -5/103 (b) -16 (c) 1 a What is the biggest value in -98, 9, -4? 9 What is the fifth biggest value in 17, -0.06, 1/2, 4, 5? -0.06 What is the third biggest value in -0.003, -4, 102, 0.3, 2? 0.3 What is the second biggest value in -53, -1/6, 2, 1862? 2 Which is the third smallest value? (a) -0.5 (b) -0.27 (c) 18.8 (d) -5 b Which is the second biggest value? (a) 27 (b) 4 (c) 581/5 a What is the biggest value in -305, -1, -61? -1 What is the second smallest value in 5, -0.5, 1/5, -63/10, 81? -0.5 Which is the second biggest value? (a) -1/9 (b) -0.3 (c) 3.3 (d) 0.5 (e) 1/6 d Which is the sixth biggest value? (a) -37.1 (b) 3/19 (c) -1 (d) 2/15 (e) -3 (f) -0.1 a Which is the smallest value? (a) -0.4 (b) -5 (c) 1 (d) 0 (e) 139 b Which is the fourth smallest value? (a) 7 (b) 0.05 (c) -1/5 (d) 1120 d Which is the fourth biggest value? (a) 0.2 (b) 2/11 (c) 3/5 (d) 3/8 (e) -8.35 b What is t
{ "pile_set_name": "DM Mathematics" }
6*v. Let d(n) = n + 1. What is a(g) + 5*d(g)? g - 1 Suppose 3*w + 4*q - 19 = 0, 0*q = 2*w + 4*q - 14. Let p be 1/(2/24*3). Let c(k) = -2*k**3 + 5*k**2 - 2. Let v(h) = 2*h**3 - 4*h**2 + 2. What is p*c(u) + w*v(u)? 2*u**3 + 2 Let b(s) = 6*s**3 - 2*s**2 + 3. Let p(w) = 7*w**3 - 3*w**2 + 3. Calculate 3*b(h) - 2*p(h). 4*h**3 + 3 Let b(y) = -y**2 + y. Let q(d) = -38*d**2 + 6*d. What is -6*b(p) + q(p)? -32*p**2 Let l(u) = u**2 + u. Let b(q) be the third derivative of q**5/15 + q**4/24 - 3*q**2. Let t = 0 + 3. Give t*l(y) - b(y). -y**2 + 2*y Let z(x) = -1. Let m(i) = i + 4. What is -m(u) - 3*z(u)? -u - 1 Let r = 9/25 + 57/50. Let c(w) be the first derivative of 2*w**3 - 4*w + 0*w**2 + 4 - r*w**4. Let i(q) = 5*q**3 - 5*q**2 + 3. What is -4*c(d) - 5*i(d)? -d**3 + d**2 + 1 Let l(d) = d - 3. Let k be l(5). Let v(f) = -f**2 - 2*f + 2. Let g(m) = -2*m**2 - 5*m + 5. Determine k*g(i) - 5*v(i). i**2 Let z(k) = -7*k + 10. Let c(b) = 13*b - 19. Give 6*c(q) + 11*z(q). q - 4 Let j(m) = m**2 - m - 1. Let n(w) = 11*w - 5*w - 5*w + 1. Determine -j(z) - n(z). -z**2 Let n(k) = 6*k**3 - 16*k - 10. Let a(m) = -m**3 + 3*m + 2. What is 11*a(l) + 2*n(l)? l**3 + l + 2 Let n(i) be the second derivative of 1/2*i**2 - 1/2*i**3 + 3*i + 0. Let p = -3 + 7. Let f(m) = m. Give p*f(w) + 2*n(w). -2*w + 2 Let k(m) = 3*m**3 - m - 2. Let s(q) = 4*q**3 - 2*q - 3. What is 3*k(g) - 2*s(g)? g**3 + g Let t(l) = -5*l - 2. Let i(p) be the second derivative of -7*p**3/3 - 5*p**2/2 - p. What is 4*i(b) - 11*t(b)? -b + 2 Let h(u) = u**2 + 5*u. Let l be h(-6). Let a(f) = 4*f + 2*f - 2 - 4*f. Let w(q) = -3 + 4*q + 4 - 5*q. Determine l*w(p) + 2*a(p). -2*p + 2 Let k(p) = -2*p**3 - 6*p**2 + 6*p - 5. Suppose -4*w - 4 = -8. Let i(m) = -m**2 + m - 1. What is w*k(f) - 6*i(f)? -2*f**3 + 1 Let t(q) be the second derivative of -q**4/12 + 5*q**3/6 + 3*q**2/2 - 6*q. Let l(m) = -m**2 + 6*m + 4. Give -5*l(p) + 6*t(p). -p**2 - 2 Let f(q) = q**2 + q + 1. Let w(i) = -2*i**2 - i - 2. Let z(g) = 3*f(g) + w(g). Suppose -k + 2*k = -3. Let h(d) = d**2 + 2*d + 1. Determine k*h(o) + 4*z(o). o**2 + 2*o + 1 Let a(i) = -i + 10. Let j(g) = 1. Let b(l) be the first derivative of l - 2. Let h(c) = -b(c) + 2*j(c). Determine -2*a(v) + 18*h(v). 2*v - 2 Let c(z) = -3*z**3 - 2*z**3 - 5 - 2*z**2 + 4*z**3. Let k(a) = 2*a + 50. Let i be k(-22). Let j(v) = -3*v**3 + 4*v**2 + 5*v**3 + 3 + 8. What is i*j(w) + 13*c(w)? -w**3 - 2*w**2 + 1 Let y(c) = 5*c + 1. Suppose -7*g + 2*g + 25 = 0. Let i(v) = 4*v + 1. Calculate g*y(h) - 6*i(h). h - 1 Let o(b) = -9*b - 9. Let v(g) = 18*g + 18. Let s(r) = -7*o(r) - 4*v(r). Let f(k) = -5*k - 5. Let d be 6/4 + 684/152. Give d*s(q) - 11*f(q). q + 1 Let r(k) = 2*k - 2. Let u(h) be the second derivative of 0*h**2 + 3*h + 0 + 1/6*h**3. What is r(s) - 4*u(s)? -2*s - 2 Let m(i) = 26*i - 43*i + 20*i - 2. Let p(d) = -3*d + 2. What is 4*m(g) + 5*p(g)? -3*g + 2 Let s(m) = m**3 + m**2 - m. Let x(a) = 5*a**3 + 6*a**2 - 6*a. Let n be (0 - 18)*((-96)/18 - -5). Calculate n*s(k) - x(k). k**3 Let p(h) = -h. Let r(w) = w**2 + 12*w - 10. Let i be r(-13). Let a be (i*3)/((-27)/18). Let l(o) = -o. Calculate a*p(m) + 5*l(m). m Let y(l) = 79*l**2 + 3*l - 3. Let j(q) = 5371*q**2 + 205*q - 205. Calculate -3*j(i) + 205*y(i). 82*i**2 Let a(l) = l**2 + 9*l - 9. Let u(d) = -4*d + 4. Let b be (6/8)/3 - 37/4. What is b*u(m) - 4*a(m)? -4*m**2 Let v(s) = -7*s**3 + 4*s**2 - 4*s. Let f(b) = -b + 0*b**3 - 9*b**2 - 3*b**3 + 10*b**2 + 2*b**3. Determine -4*f(j) + v(j). -3*j**3 Let p = -10 + 21. Let f(r) = -3 + 0 + 0*r - p*r. Let j be ((-34)/6)/((-1)/(-3)). Let m(q) = 4*q + 1. Determine j*m(n) - 6*f(n). -2*n + 1 Let n(t) = 3*t**2 - 2*t - 3. Let c(k) = k - 4*k - 5 + 1 + 4*k**2. Let q(g) = -g + 2. Suppose 4*f - 22 = 2. Let s be q(f). Give s*c(z) + 5*n(z). -z**2 + 2*z + 1 Let k(b) = 2*b + 2. Let x(m) = -m**2 - m + 3. Let n be x(-3). Let f(y) = 7*y + 6. Let t(q) = -6*q - 5. Let d(v) = n*f(v) - 4*t(v). Determine 3*d(o) - 4*k(o). o - 2 Let q(h) = 0 - 4 + 3 + 3*h - 1. Let b(f) = -4*f + 3. Suppose 2*d = -i, -1 = -3*i - 5*d - 3. Let y be (-4)/(-6) - (-34)/(-6). What is i*b(c) + y*q(c)? c - 2 Let t(x) = x. Let c(v) = -2*v**2 + 3*v - 1. Let o be 2*(3 - -9) + 1. Suppose 5*a + 4 = -4*b - o, 3*b + 2*a + 13 = 0. Calculate b*t(h) + c(h). -2*h**2 + 2*h - 1 Let m(g) = -g**3 + 3*g**2 + 2*g + 1. Let f be m(3). Let b(w) = 11*w - 11. Let t(r) = 3*r - 4*r - 5*r + 6. Calculate f*t(q) + 4*b(q). 2*q - 2 Let b(k) = k**2 + k + 1. Let q(h) = h**3 + 7*h**2 + 6*h + 4. Let z = -11 + 12. Calculate z*q(v) - 4*b(v). v**3 + 3*v**2 + 2*v Let v(p) = -p**3 + p + 1. Let z(l) = -12*l**3 - l**2 + 11*l + 11. Give 22*v(k) - 2*z(k). 2*k**3 + 2*k**2 Let h(t) = -27*t**3 + t**2 - 5 + 2*t**2 + 26*t**3. Let j(f) = -f**2 + 1. Determine h(k) + 5*j(k). -k**3 - 2*k**2 Let d(l) = -l + 1. Suppose -7*y = -5*y - 6. Let z(v) = -2*v + 5. Give y*d(j) - z(j). -j - 2 Let c(m) = -m**2 - m + 6. Let w(b) = -b**2 - b + 5. Determine -5*c(h) + 4*w(h). h**2 + h - 10 Let h(n) = -n + 1. Suppose -5*i = 3*u - 11 - 8, 0 = 2*i + 5*u. Let v(k) = -6*k + 3. Calculate i*h(p) - v(p). p + 2 Let s(m) = -m**2 - 7*m - 4. Let z(w) be the first derivative of -2*w**3/3 - 13*w**2/2 - 7*w - 18. Give 7*s(t) - 4*z(t). t**2 + 3*t Let d(x) = -4*x**2 + 17. Let w(g) = -4*g - 3. Let c be 2/(-1) - (0 - -1). Let a be w(c). Let v(b) = -b**2 + 4. Give a*v(r) - 2*d(r). -r**2 + 2 Let p(n) = n + 1. Let q(j) = -26*j + 4. Determine -5*p(c) + q(c). -31*c - 1 Let a(r) = -r**3 + 6*r**2 - 7. Let i be a(6). Let n be 17/3 + i/(-21). Let h(s) = -5 - 4*s**2 - n*s + 6 - 1. Let o(f) = -9*f**2 - 13*f. Give 13*h(b) - 6*o(b). 2*b**2 Let p(t) = 11*t + 3. Let c(q) = -6*q - 2. Determine -7*c(z) - 4*p(z). -2*z + 2 Suppose n = -4*n. Let q be (1 - (n - 5)) + 0. Let t(y) = -y - y**3 + y**2 - 1 - 4 + q. Let v(c) = -4*c**3 + 2*c**2 - 2*c + 2. Calculate -2*t(x) + v(x). -2*x**3 Let q(x) = 32*x**2 + 7*x. Let m(j) = -21*j**2 - 5*j. Give 7*m(b) + 5*q(b). 13*b**2 Let s(u) be the second derivative of -u**4/6 - u**3/3 + 2*u**2 - 6*u. Let x(l) = 4 + 4 - 7. Calculate s(h) - 5*x(h). -2*h**2 - 2*h - 1 Let o = -22 + 17. Let g(n) = 2*n**2 + 4*n + 7. Let s(c) = 2*c**2 + 3*c + 6. What is o*s(d) + 4*g(d)? -2*d**2 + d - 2 Let n(q) = -q. Let y be n(-3). Let t(h) = -h**2 + h - 2. Let g be t(y). Let r(f) = f**2 - 2*f + 3. Let b(s) = 2*s**2 - 6*s + 8. Give g*r(m) + 3*b(m). -2*m**2 - 2*m Let x(q) be the third derivative of q**4/6 - 20*q**2. Let f(p) = -7*p - 1. Determine 3*f(g) + 5*x(g). -g - 3 Let z(o) = -3*o + 8. Let a(y) = -2 + 2 + 1. Give 6*a(m) - z(m). 3*m - 2 Let u(y) = 3*y**2 - 2*y - 3. Suppose -5*w - 20 = -5*k, -5 = -k + 3*w + 9. Let p(v) = v**2 - 1. Calculate k*u(g) + 2*p(g). -g**2 + 2*g + 1 Suppose 8 = 2*l + 2*x, 3 = -2*l - 5*x - 1. Let y(p) = -11*p - 8. Let s(w) = -477 + 237 - 4*w + 237. Determine l*s(v) - 3*y(v). v Let g(i) = -i. Let o(f) = -3*f - 13. Give 4*g(u) - o(u). -u + 13 Let n(s) = -7*s + 3. Let l(t) be the third derivative of -t**4/3 + 2*t**3/3 - 7*t**2. Determine -6*l(u) + 7*n(u). -u - 3 Let g(c) = -11*c**3 + 5*c**2 - 7*c + 9. Let h(t) = -5*t**3 + 2*t**2 - 3*t + 4. Suppose 9 = -f - 2*f. Let s be (-29)/(-4) + 1/(-4). What is f*g(b) + s*h(b)? -2*b**3 - b**2 + 1 Let y(g) = -5*g**2 + 1 + 3 - 8*g - 8 + 0*g. Let o(v) = 11*v**2 + 17*v + 9. What is 6*o(w) + 13*y(w)? w**2 - 2*w + 2 Let g(f) = -f**2. Let n(l) = l**2. Suppose 0 = -0*r + r - 18. Suppose 0 = 2*j - i + 9, 3*j - i + r = 2*i. Calculate j*n(t) - 2*g(t). -t**2 Let j(o) = 64*o + 59*o - 124*o. Let d(m) = m**3 - 6*m - 2. Determine d(v) - 6*j(v). v**3 - 2 Let n = 16 - 19. Let d(g) = -2*g + 4. Let i(s) = 3*s - 7. What is n*i(f) - 5*d(f)? f + 1 Let m(b) = 4*b**3 - 3*b - 3. Let u(l) = -l**3 + l + 1. Let x = -7 + 10. Let p be 3 + -6 + x + 1. Calculate p*m(i) + 3*u(i). i**3 Let x(j) = j. Let n(k) = -7*k - 2. Calculate n(v) - 3*x(v). -10*v - 2 Let n(m) = m + 1. Let l(d) = 5*d + 8. Determine 4*l(g) - 28*n(g). -8*g + 4 Let p(y) = 2*y + 7. Let z be (-8 - -3)*1 + (12 - 0). Let j = 3 + 2. Let b(c) = -3*c - 10. What is j*b(l) + z*p(l)? -l - 1 Let w(a) = 1. Let b(x) = -x + 1. Let d be b(-1). Suppose -4*r + 0*r + 14 = -d*u, -3*u = 2*r - 3. Let m(q) = q**2. Calculate u*w(o) - 2*m(o). -2*o**2 - 1 Let z(u) = 9*u**2 - 9*u - 19. Let h(m) = -4*m**2 + 4*m + 9. Calculate -13*h(v) - 6*z(v). -2*v**2 + 2*v - 3 Suppose -3*o = -5*k + 25, 4*o = -k - 0
{ "pile_set_name": "DM Mathematics" }
+ 114 What is the q'th term of 4690, 9405, 14120, 18835? 4715*q - 25 What is the h'th term of 572, 1141, 1710, 2279, 2848, 3417? 569*h + 3 What is the l'th term of -1636897, -1636896, -1636895, -1636894, -1636893, -1636892? l - 1636898 What is the k'th term of -3778, -7582, -11386, -15190? -3804*k + 26 What is the b'th term of -13007, -12992, -12967, -12932, -12887? 5*b**2 - 13012 What is the k'th term of 45901, 45898, 45895? -3*k + 45904 What is the g'th term of 302484, 302483, 302482, 302481? -g + 302485 What is the u'th term of -2885, -2635, -2385, -2135, -1885? 250*u - 3135 What is the c'th term of -414, -401, -380, -351, -314, -269, -216? 4*c**2 + c - 419 What is the f'th term of 20367, 40718, 61069, 81420, 101771? 20351*f + 16 What is the a'th term of -407, -479, -551? -72*a - 335 What is the v'th term of -166856, -166868, -166880? -12*v - 166844 What is the a'th term of 239671, 479344, 719021, 958702, 1198387, 1438076, 1677769? 2*a**2 + 239667*a + 2 What is the k'th term of -91, -311, -677, -1189? -73*k**2 - k - 17 What is the k'th term of -44174, -44168, -44150, -44114, -44054, -43964, -43838, -43670? k**3 - k - 44174 What is the a'th term of -338, -368, -398, -428, -458? -30*a - 308 What is the m'th term of -74508, -74512, -74518, -74526, -74536, -74548, -74562? -m**2 - m - 74506 What is the i'th term of 205, 849, 1905, 3361, 5205? -2*i**3 + 218*i**2 + 4*i - 15 What is the n'th term of 25851, 51690, 77529, 103368? 25839*n + 12 What is the d'th term of 342, 519, 696, 873, 1050, 1227? 177*d + 165 What is the x'th term of -11983, -12113, -12329, -12631, -13019, -13493? -43*x**2 - x - 11939 What is the h'th term of -2533366, -5066728, -7600080, -10133416, -12666730, -15200016, -17733268? h**3 - h**2 - 2533366*h What is the p'th term of -69, -74, -79, -84, -89, -94? -5*p - 64 What is the j'th term of -5741, -5745, -5749, -5753, -5757? -4*j - 5737 What is the n'th term of 518996, 518997, 518998, 518999, 519000, 519001? n + 518995 What is the n'th term of -503, -1000, -1537, -2114? -20*n**2 - 437*n - 46 What is the p'th term of 126, 690, 1632, 2952? 189*p**2 - 3*p - 60 What is the s'th term of 459, 1983, 4513, 8043, 12567, 18079, 24573, 32043? -s**3 + 509*s**2 + 4*s - 53 What is the o'th term of 788, 3269, 7446, 13319, 20888? 848*o**2 - 63*o + 3 What is the l'th term of -174031, -174030, -174029? l - 174032 What is the y'th term of -8, 47, 136, 259, 416? 17*y**2 + 4*y - 29 What is the v'th term of 1011458, 2022914, 3034370, 4045826, 5057282? 1011456*v + 2 What is the s'th term of -222, -580, -926, -1254, -1558, -1832, -2070? s**3 - 365*s + 142 What is the s'th term of -126784, -253571, -380358, -507145? -126787*s + 3 What is the u'th term of 220988, 441975, 662962, 883949, 1104936? 220987*u + 1 What is the r'th term of -1256, -2455, -3586, -4649? 34*r**2 - 1301*r + 11 What is the c'th term of 28153, 28256, 28359, 28462, 28565? 103*c + 28050 What is the m'th term of 356, 357, 358, 359, 360? m + 355 What is the w'th term of -73, -68, -49, -16, 31, 92? 7*w**2 - 16*w - 64 What is the f'th term of 132, 260, 404, 570, 764, 992, 1260, 1574? f**3 + 2*f**2 + 115*f + 14 What is the d'th term of -38987, -155951, -350895, -623825, -974747, -1403667, -1910591? -d**3 - 38984*d**2 - 5*d + 3 What is the o'th term of -6, -78, -286, -702, -1398, -2446? -12*o**3 + 4*o**2 + 2 What is the h'th term of -334, -330, -300, -244, -162, -54, 80? 13*h**2 - 35*h - 312 What is the v'th term of 1802, 1757, 1660, 1493, 1238, 877, 392? -3*v**3 - 8*v**2 + 1813 What is the z'th term of 28455, 28402, 28349? -53*z + 28508 What is the m'th term of 113860, 113852, 113856, 113878, 113924, 114000, 114112, 114266? m**3 - 15*m + 113874 What is the k'th term of -1444, -1463, -1496, -1543, -1604, -1679, -1768? -7*k**2 + 2*k - 1439 What is the r'th term of -2595, -5744, -8895, -12048? -r**2 - 3146*r + 552 What is the o'th term of 386, 1506, 3368, 5978, 9342, 13466, 18356? o**3 + 365*o**2 + 18*o + 2 What is the b'th term of 2152, 8557, 19232, 34177, 53392, 76877, 104632? 2135*b**2 + 17 What is the o'th term of -63992, -63988, -63982, -63974, -63964, -63952, -63938? o**2 + o - 63994 What is the c'th term of -28114, -28119, -28134, -28165, -28218? -c**3 + c**2 - c - 28113 What is the v'th term of 10143, 9987, 9829, 9669? -v**2 - 153*v + 10297 What is the u'th term of -860, -3486, -7856, -13964, -21804, -31370, -42656, -55656? u**3 - 878*u**2 + u + 16 What is the u'th term of -128, -549, -1692, -3917, -7584, -13053? -60*u**3 - u**2 + 2*u - 69 What is the d'th term of 41063, 82165, 123265, 164363, 205459, 246553, 287645? -d**2 + 41105*d - 41 What is the o'th term of 36013, 36008, 36001, 35992, 35981, 35968? -o**2 - 2*o + 36016 What is the d'th term of -362, -1445, -3242, -5753, -8978, -12917? -357*d**2 - 12*d + 7 What is the n'th term of 8687, 8697, 8707, 8717, 8727, 8737? 10*n + 8677 What is the g'th term of 7416, 7838, 8260, 8682? 422*g + 6994 What is the a'th term of -1721725, -1721725, -1721723, -1721719, -1721713, -1721705? a**2 - 3*a - 1721723 What is the i'th term of 2567, 5116, 7661, 10202? -2*i**2 + 2555*i + 14 What is the p'th term of -186, -350, -520, -696, -878? -3*p**2 - 155*p - 28 What is the y'th term of 674, 2726, 6148, 10940, 17102, 24634? 685*y**2 - 3*y - 8 What is the m'th term of -1356474, -2712946, -4069418, -5425890, -6782362, -8138834? -1356472*m - 2 What is the l'th term of -22313, -44624, -66935? -22311*l - 2 What is the v'th term of 5128, 10288, 15428, 20542, 25624? -v**3 - 4*v**2 + 5179*v - 46 What is the l'th term of 692, 1768, 3226, 5072, 7312, 9952, 12998? l**3 + 185*l**2 + 514*l - 8 What is the f'th term of -165, -433, -811, -1299, -1897, -2605? -55*f**2 - 103*f - 7 What is the j'th term of 168851, 337678, 506505? 168827*j + 24 What is the p'th term of 161, 452, 745, 1040, 1337, 1636, 1937? p**2 + 288*p - 128 What is the j'th term of -1325, -1427, -1601, -1853, -2189, -2615, -3137? -j**3 - 30*j**2 - 5*j - 1289 What is the r'th term of 236, 966, 2322, 4418, 7368, 11286, 16286? 19*r**3 + 199*r**2 + 18 What is the u'th term of 10421, 20833, 31243, 41651, 52057, 62461, 72863? -u**2 + 10415*u + 7 What is the h'th term of -1857, -3746, -5655, -7596, -9581, -11622, -13731, -15920? -2*h**3 + 2*h**2 - 1881*h + 24 What is the l'th term of 363507, 363508, 363509? l + 363506 What is the v'th term of 102547, 205090, 307633, 410176, 512719, 615262? 102543*v + 4 What is the h'th term of 1581, 6398, 14433, 25692, 40181, 57906, 78873? h**3 + 1603*h**2 + h - 24 What is the l'th term of 24330, 48656, 72980, 97302, 121622, 145940, 170256? -l**2 + 24329*l + 2 What is the c'th term of 48160, 48164, 48172, 48184? 2*c**2 - 2*c + 48160 What is the r'th term of -13866, -27796, -41724, -55650, -69574, -83496, -97416? r**2 - 13933*r + 66 What is the x'th term of -88, -434, -1084, -2038, -3296? -152*x**2 + 110*x - 46 What is the i'th term of 567, 1045, 1841, 2955, 4387, 6137, 8205? 159*i**2 + i + 407 What is the j'th term of 2632, 10541, 23730, 42205, 65972, 95037? j**3 + 2634*j**2 - 3 What is the u'th term of 72, 294, 516? 222*u - 150 What is the l'th term of 255, 494, 727, 954? -3*l**2 + 248*l + 10 What is the g'th term of 57092, 57087, 57080, 57071? -g**2 - 2*g + 57095 What is the j'th term of -685, -513, -341, -169, 3, 175? 172*j - 857 What is the x'th term of -725, -1904, -3079, -4250? 2*x**2 - 1185*x + 458 What is the r'th term of -1958, -1973, -1988, -2003, -2018? -15*r - 1943 What is the j'th term of -500, -645, -790, -935, -1080, -1225? -145*j - 355 What is the p'th term of 2200005, 2200006, 2200007, 2200008, 2200009, 2200010? p + 2200004 What is the c'th term of 272, 577, 882, 1187, 1492, 1797? 305*c - 33 What is the h'th term of 3031, 3137, 3243, 3349, 3455? 106*h + 2925 What is the n'th term of -878, -2117, -4100, -7199, -11786, -18233? -62*n**3 - 805*n - 11 What is the x'th term of -2362, -9413, -21158, -37597, -58730, -84557? -2347*x**2 - 10*x - 5 What is the h'th term of -1486, -1605, -1724? -119*h - 1367 What is the g'th term of -3307, -3742, -4177? -435*g - 2872 What is the c'th term of 21034, 21078, 21122? 44*c + 20990 What is the a'th term of 12132, 24299, 36498, 48729? 16*a**2 + 12119*a - 3 What is the x'th term of 7091, 28288, 63631, 113126, 176779, 254596, 346583
{ "pile_set_name": "DM Mathematics" }
rd smallest value? (a) -1/4 (b) 2/9 (c) 3 c Which is the biggest value? (a) -4 (b) 2.6 (c) -1 (d) 13 d Which is the third biggest value? (a) -18 (b) 2/5 (c) 5 (d) -0.2 d Which is the fourth smallest value? (a) 37 (b) 2.1 (c) -2 (d) -1/2 a What is the smallest value in -13, -2, 3, 5, 1? -13 Which is the second biggest value? (a) -3.9 (b) 0.4 (c) -0.07 c Which is the second smallest value? (a) 4 (b) 6 (c) -1/19 (d) -3 c Which is the biggest value? (a) 1.8 (b) -5 (c) 2 (d) 1/5 c Which is the smallest value? (a) -0.2 (b) 0.1 (c) -1/4 (d) -22.9 d Which is the third biggest value? (a) -3.9 (b) 2 (c) -3 a Which is the third biggest value? (a) -1/2 (b) 0.259 (c) 0.13 a What is the second biggest value in -5, 4, 329? 4 What is the third biggest value in -0.02, 1/15, -0.4? -0.4 What is the smallest value in 0.3, -23, 3? -23 Which is the second biggest value? (a) 2 (b) -51 (c) 4/3 (d) -0.1 (e) -5 c Which is the smallest value? (a) 6/19 (b) 1/3 (c) -2 (d) -3/5 (e) -0.3 c Which is the third biggest value? (a) -5 (b) 3/4 (c) 41.1 a Which is the third smallest value? (a) -1/2 (b) 0.07 (c) -0.1 (d) 1 b What is the third smallest value in 3, -1/2, 2/5, 0.2? 2/5 Which is the second biggest value? (a) 2/9 (b) -61/6 (c) 3 a What is the third smallest value in -5.169, 5, 2? 5 What is the second biggest value in 706, -1/6, 2/13? 2/13 Which is the fifth smallest value? (a) 3 (b) -3.1 (c) 5 (d) 2 (e) -0.6 c What is the third biggest value in 1/3, -2/3, 80? -2/3 What is the smallest value in 4, -0.34, 7.3? -0.34 What is the third smallest value in 1, -1/2, 5.2, -7/2? 1 Which is the second biggest value? (a) 0.3 (b) -3 (c) 4 (d) 0.11 a What is the third biggest value in 0.5, 2/11, 4, -2/5, 5/6? 0.5 Which is the third smallest value? (a) 3 (b) -2 (c) 10 c Which is the second biggest value? (a) 2/11 (b) 4 (c) 19 b What is the fourth biggest value in 2, 28, 4, -1/3? -1/3 What is the smallest value in -5, 1/5, -6? -6 Which is the third smallest value? (a) -3.28 (b) -3/4 (c) 3 (d) -0.5 d Which is the third biggest value? (a) -0.3 (b) -1.55 (c) -14 c What is the smallest value in -46, 3, 7, -2/3? -46 What is the fourth smallest value in -1, -32, 3, -4, -3? -1 Which is the smallest value? (a) 4/3 (b) 18 (c) -4 c What is the second biggest value in 0.3, 2, -0.1, 2/5? 2/5 What is the fifth biggest value in -0.17, 0.2, -0.1, -2/7, 0.07? -2/7 Which is the smallest value? (a) 4 (b) 1/32 (c) -0.95 c Which is the third smallest value? (a) 2 (b) 3 (c) -1/2 (d) 0.03 a What is the second smallest value in 2/17, -164, -7? -7 What is the second smallest value in 1/6, -1/19, 2.1? 1/6 What is the second smallest value in 17, 0.08, 20? 17 Which is the third biggest value? (a) -0.3 (b) 0.4 (c) 1/3 (d) -49 (e) 5 c What is the third biggest value in 5, -2, -1.1? -2 What is the fourth smallest value in 13, -4, -2, 0, -5? 0 What is the fifth smallest value in 1, 21, -5, -1, 5? 21 What is the second biggest value in 1, 0.42, -14? 0.42 What is the third smallest value in 0.295, 2, -2? 2 What is the third smallest value in 4, -11, 5, 0.5? 4 What is the smallest value in -1, 2/13, 0.5, -0.08? -1 What is the fourth biggest value in -0.3, 192, -2, -0.7? -2 Which is the second biggest value? (a) -1 (b) 0.5 (c) 1.36 b What is the third biggest value in 33, -2, -3/4, -0.5? -3/4 Which is the second biggest value? (a) -0.3 (b) -13 (c) -2.5 c Which is the second smallest value? (a) 0.2 (b) -1/54 (c) -6/11 b Which is the second smallest value? (a) 40 (b) 3 (c) -3/5 (d) 5 b What is the second biggest value in -17, 0.2, 4.7? 0.2 What is the second smallest value in -0.3, 0.4, 71? 0.4 What is the smallest value in -9/13, 1/6, 2/7, -4? -4 Which is the third biggest value? (a) 75 (b) 0.4 (c) 0.1 (d) -0.3 (e) 1 b Which is the second biggest value? (a) -2/85 (b) 1 (c) -2/5 (d) 2/7 d Which is the third biggest value? (a) 6/7 (b) 4 (c) -40 c What is the third smallest value in 6.3, 0.3, 0.4, -8/5? 0.4 Which is the second smallest value? (a) -1.1 (b) 0.2 (c) -2 (d) -0.066 a Which is the second smallest value? (a) 1/3 (b) 0.07 (c) -1 (d) 0.16 b Which is the second smallest value? (a) -41 (b) -1 (c) 88 b What is the second smallest value in 0.0464, 1.2, -4? 0.0464 Which is the third biggest value? (a) 0.3 (b) -1 (c) -7/5 c Which is the third biggest value? (a) 0.1 (b) -4/7 (c) 3 (d) 4 a What is the third smallest value in 1719, 1/5, 0.4, -3, -1? 1/5 Which is the biggest value? (a) 99 (b) 0 (c) -0.4 a Which is the fourth smallest value? (a) 3/5 (b) 19 (c) 2 (d) 4/5 b What is the second biggest value in -1/2, 0.3, 0, 0.039? 0.039 What is the second smallest value in -1/4, -8, -4? -4 Which is the third smallest value? (a) -80 (b) -1 (c) 1 c Which is the second biggest value? (a) -4 (b) -7 (c) -196 b What is the second smallest value in 0, 2/7, 1/28? 1/28 What is the smallest value in 3, 0.3, -1/148, -0.1, -2? -2 Which is the smallest value? (a) -0.04 (b) -5 (c) 0.02 (d) -11 d What is the biggest value in 0.001, 0, -2/7? 0.001 What is the third biggest value in -1/4, -3/5, -0.2? -3/5 What is the third biggest value in -4, 1/4, -1/5, 2? -1/5 Which is the fourth smallest value? (a) 18/335 (b) 3 (c) 5 (d) 0 (e) 4 e What is the fourth biggest value in -19, 1/3, 2, 3? -19 Which is the smallest value? (a) -2/9 (b) 0.2 (c) -2 (d) -2/111 c What is the second biggest value in 1/85, 1, 3, 0? 1 Which is the second smallest value? (a) -14 (b) -10 (c) -0.1 b What is the second biggest value in -0.04, 4, 6? 4 What is the biggest value in 4, -1169.2, 1? 4 What is the second biggest value in -3, 5, -28? -3 What is the fifth smallest value in 0.3, -1/4, -3, 146, 5? 146 What is the fourth biggest value in 2/21, -0.2, -4/3, 1/4, -6? -4/3 Which is the third smallest value? (a) 99/7 (b) 5 (c) 3 (d) 0.4 b What is the fourth smallest value in 13/6, 8, -0.3, 2, -2/37? 13/6 What is the fourth smallest value in 2/113, -5/4, -0.5, 2/11? 2/11 What is the fourth smallest value in 0.4, 5, 3/2, -4? 5 What is the second biggest value in 73, 1, -0.4? 1 What is the third biggest value in 2, 1, -4/9, -2, -0.3? -0.3 Which is the second smallest value? (a) -5 (b) -2/3 (c) -4/7 (d) 32/7 b Which is the third smallest value? (a) 3/2 (b) 0 (c) 2/7 a What is the smallest value in -0.3, -2026, -0.4? -2026 What is the third biggest value in 5, -1/132, -2? -2 What is the second smallest value in 10, 4, 0.1? 4 What is the biggest value in 0.1, -0.1, -318, 13? 13 What is the third biggest value in -93, 3, -3, -3/4? -3 Which is the third biggest value? (a) 1/10 (b) 0 (c) -3/2 (d) -4 c Which is the fourth biggest value? (a) -5 (b) -1/69 (c) 0 (d) 1/8 (e) -2/13 e Which is the third biggest value? (a) 0 (b) -1 (c) -291 (d) -5 d Which is the third smallest value? (a) -0.01 (b) -5 (c) -2/5 (d) 2.1 (e) 0 a What is the biggest value in 7/4, -11, 1, -1? 7/4 Which is the smallest value? (a) 2 (b) 12/11 (c) 0 c Which is the biggest value? (a) 0.5 (b) 1/9 (c) -5 (d) 0 a Which is the biggest value? (a) -15 (b) -2 (c) -0.4 (d) 3/4 (e) -4 d Which is the smallest value? (a) -2 (b) -142 (c) -0.1 (d) -3 (e) -1 b Which is the biggest value? (a) -1/8 (b) 1 (c) 2/3 (d) 24 d Which is the second biggest value? (a) 1 (b) -0.12 (c) 0.5 (d) 2/5 (e) 23 a Which is the second smallest value? (a) 11 (b) -0.3 (c) -0.5 (d) 4 b Which is the biggest value? (a) -2/7 (b) -3 (c) -0.13 c What is the biggest value in -2/9, 4/9, -5, 134? 134 Which is the third smallest value? (a) -1/11 (b) -2/5 (c) 1/4 (d) 0.5 c Which is the second biggest value? (a) -2/15 (b) 4 (c) 1/2 c Which is the biggest value? (a) 3 (b) 5 (c) 0.5 (d) 0.01 b Which is the second smallest value? (a) -3/10 (b) 1/7 (c) -1 (d) 3/4 a What is the second biggest value in -0.073, -2/7, 0.05? -0.073 What is the second biggest value in -2, 1/6, -1? -1 Which is the smallest value? (a) -4.7 (b) -4/3 (c) 152 a Which is the second smallest value? (a) 1 (b) 4 (c) 5 (d) 22 b What is the third smallest value in 1/14, -2, 0? 1/14 What is the third smallest value in 1, -0.4, -527/3? 1 Which is the fourth sma
{ "pile_set_name": "DM Mathematics" }
-3/25432 Divide -201066 by 2162. -93 107113 divided by -3 -107113/3 -3645078 divided by 1822539 -2 Calculate 14 divided by -545. -14/545 27962 divided by -2 -13981 765 divided by 113 765/113 Calculate -65438 divided by -6. 32719/3 -924399 divided by -44019 21 Calculate -83058 divided by 127. -654 Divide -453456 by 72. -6298 Calculate 279 divided by 13. 279/13 -86008 divided by -1 86008 Calculate -234252 divided by -1. 234252 What is 84680 divided by -4? -21170 18843 divided by -165 -571/5 -268752 divided by -264 1018 Calculate -451290 divided by -5. 90258 Calculate -429903 divided by 9. -47767 Divide 54288 by -31. -54288/31 What is 525846 divided by 262923? 2 Calculate 1127184 divided by -184. -6126 Calculate -24505 divided by -29. 845 Divide 13 by 69374. 13/69374 Calculate 42735 divided by -165. -259 Calculate 96777 divided by -32259. -3 Calculate 288 divided by 1428. 24/119 12084 divided by -38 -318 What is -5962413 divided by -3? 1987471 Divide -15792 by 47. -336 Calculate 2202756 divided by 734252. 3 -121364 divided by 4 -30341 Calculate 0 divided by -894602. 0 Divide -286872 by -35859. 8 What is 29680 divided by -80? -371 Divide 148538 by 5122. 29 Divide -428120 by -53515. 8 Calculate 427674 divided by 13. 32898 Calculate -4 divided by 62414. -2/31207 Calculate -180069 divided by -3. 60023 Divide -129960 by 1805. -72 Calculate -180456 divided by -4. 45114 What is -901170 divided by -47430? 19 What is -10168 divided by -8? 1271 Calculate -827916 divided by -206979. 4 2 divided by -172280 -1/86140 What is 2355 divided by -15? -157 3835560 divided by -767112 -5 Divide 2618 by 163. 2618/163 Divide 31874 by 1. 31874 What is -11473 divided by -7? 1639 Calculate 4 divided by 92891. 4/92891 What is -1128867 divided by -3? 376289 Divide -277392 by 4. -69348 22 divided by 1498 11/749 Divide 108 by 372. 9/31 -2276435 divided by 455287 -5 Calculate -6590595 divided by -3245. 2031 What is -3270606 divided by -4? 1635303/2 Divide 5 by 1113615. 1/222723 What is 56028 divided by -644? -87 Divide 18 by -652. -9/326 -133020 divided by 60 -2217 Divide 8016996 by -2004249. -4 Calculate -10612 divided by -28. 379 What is -75 divided by -1699? 75/1699 Divide 1929210 by 64307. 30 -3 divided by 150006 -1/50002 What is -32148 divided by -3? 10716 -1785480 divided by -14879 120 What is -713080 divided by -178270? 4 0 divided by 6172 0 Divide 19536 by -148. -132 What is -24856 divided by 12428? -2 Calculate 24 divided by -14724. -2/1227 What is -140 divided by 3615? -28/723 Divide 7 by -126190. -7/126190 Divide -23321 by 1. -23321 12048989 divided by 1 12048989 What is -51718 divided by 3? -51718/3 What is 274873 divided by -1? -274873 Calculate -880635 divided by -8387. 105 -167960 divided by 1105 -152 557100 divided by 3 185700 -109216 divided by -3 109216/3 What is 190306 divided by -3? -190306/3 Calculate -830589 divided by 4. -830589/4 -5612292 divided by -1403073 4 Divide 4 by 279608. 1/69902 Divide -12239 by 1. -12239 Calculate -663432 divided by -8. 82929 Divide 82938 by -21. -27646/7 What is 423255 divided by 84651? 5 Calculate -5 divided by -5643. 5/5643 Calculate 163540 divided by 221. 740 What is 4 divided by -33096? -1/8274 Divide 0 by 53269. 0 Calculate 66576 divided by -22192. -3 Divide -2389674 by -42. 56897 Calculate -35972 divided by 17986. -2 Calculate 172482 divided by -534. -323 Divide -277314 by 92438. -3 Calculate -723 divided by -397. 723/397 -715184 divided by -178796 4 Divide -2814 by -7. 402 Calculate 58203 divided by 19401. 3 6 divided by 47831 6/47831 Calculate -12 divided by 585. -4/195 Calculate -1350 divided by -8. 675/4 What is -348 divided by -127? 348/127 Calculate 80 divided by 29325. 16/5865 Calculate -5 divided by 72924. -5/72924 Divide -16 by 19755. -16/19755 Calculate -8691805 divided by 5. -1738361 43695 divided by 5 8739 30514 divided by 3 30514/3 -1111787 divided by 2 -1111787/2 Calculate 171171 divided by 13. 13167 Divide -1198626 by 762. -1573 Calculate 356 divided by 2621. 356/2621 1260156 divided by -6 -210026 Divide 733341 by -104763. -7 Divide -73661 by 5. -73661/5 Calculate 101629 divided by -9239. -11 4 divided by -190881 -4/190881 5032328 divided by 179726 28 Divide 1 by -11151. -1/11151 Divide -55463 by 15. -55463/15 What is -274840 divided by 5? -54968 Divide -12 by 168. -1/14 Calculate 458 divided by 29. 458/29 What is -49053 divided by 3? -16351 Calculate 1971 divided by 527. 1971/527 Divide -1339416 by 5724. -234 74896 divided by 2 37448 Calculate 3 divided by 33396. 1/11132 Divide 154546 by 19. 8134 What is 336 divided by -1179? -112/393 Divide 5 by 144310. 1/28862 What is -48692 divided by -24346? 2 Calculate -473047 divided by -1. 473047 Calculate -106812 divided by 5934. -18 Calculate 43167 divided by 4. 43167/4 What is -61794 divided by 20598? -3 Divide -20176 by 20176. -1 What is 1453482 divided by -80749? -18 Calculate 9988 divided by -22. -454 -935090 divided by 5 -187018 -3 divided by -4374 1/1458 What is 1250597 divided by 211? 5927 1781976 divided by 3 593992 What is -36335 divided by 43? -845 Calculate -103360 divided by -170. 608 Divide -1474580 by 5. -294916 What is -1000 divided by 1438? -500/719 1048560 divided by 60 17476 Divide 5 by 44552. 5/44552 -3 divided by 158450 -3/158450 Divide 707168 by 101024. 7 Calculate -2 divided by -172711. 2/172711 What is -4732 divided by 5? -4732/5 Divide 2 by -193975. -2/193975 What is 17846 divided by 2? 8923 What is 2498196 divided by 6? 416366 Calculate 5 divided by 8889. 5/8889 What is -181596 divided by 4? -45399 -26571 divided by 3 -8857 Divide -84986 by -2. 42493 Calculate -163200 divided by 20400. -8 5428 divided by -1268 -1357/317 Divide 4 by -2631. -4/2631 Calculate -419552 divided by 56. -7492 Calculate 0 divided by 5812. 0 Calculate 3323524 divided by 244. 13621 Divide -4 by -104494. 2/52247 Divide -235139 by 1. -235139 What is 1 divided by 437330? 1/437330 -165067 divided by -3 165067/3 -1 divided by -9713 1/9713 What is -34040 divided by 460? -74 Divide -1016784 by 138. -7368 5027 divided by -5 -5027/5 61603 divided by -4 -61603/4 Divide 39272 by 79. 39272/79 Calculate 2086 divided by -14. -149 What is 12388 divided by -76? -163 Divide 1385 by 54. 1385/54 Divide 0 by -13743. 0 Calculate 48794 divided by -5. -48794/5 What is 618362 divided by -1? -618362 Calculate -1184 divided by 686. -592/343 19505 divided by -3 -19505/3 Calculate 439 divided by 995. 439/995 -11515 divided by 329 -35 Divide 15068 by -7534. -2 Divide -494434 by 2. -247217 Divide 4286595 by 857319. 5 What is -3213069 divided by -2? 3213069/2 Divide -340844 by -94. 3626 Calculate 11523 divided by 69. 167 Divide 3 by -36795. -1/12265 What is -51603 divided by 1? -51603 Calculate -34650 divided by 385. -90 Divide 29132 by -7283. -4 -390 divided by 3841 -390/3841 Calculate -3349 divided by 225. -3349/225 -59905 divided by -5 11981 What is 13504 divided by -844? -16 Divide 85102 by 5006. 17 -70 divided by 431 -70/431 What is 5655 divided by -9? -1885/3 -9443 divided by -19 497 Calculate 31 divided by -1845. -31/1845 Divide -3 by 12075. -1/4025 Divide -12 by -222708. 1/18559 -83646 divided by 18 -4647 Calculate -656 divided by 6. -328/3 Divide -59944 by -14986. 4 Calculate -175920 divided by 8796. -20 Calculate 2689 divided by -27. -2689/27 What is 32760 divided by -1560? -21 What is -55936 divided by 6992? -8 What is -50912 divided by -74? 688 Calculate 10455 divided by 51. 205 What is 1419432 divided by -12? -118286 What is -5 divided by 6369? -5/6369 Calculate 51214 divided by -58. -883 14 divided by -4915 -14/4915 628182 divided by -209394 -3 Calculate -18402 divided by 4. -9201/2 What is -19432 divided by 694? -28 Divide -4 by 47036. -1/11759 Divide -1713985 by 2. -1713985/2 Divide 8619 by -663. -13 What is -66462 divided by -3? 22154 What is 17018 divided by -134? -127 Calculate 55127 divided by 2. 55127/2 Calculate 105 divided by -1374. -35/458 -2 divided by 25906 -1/12953 9 divided by 128111 9/128111 Calculate -5 divided by 23279. -5/23279 Calculate 268329 divided by 2. 268329/2 -6 divided by 519114 -1/86519 Calculate 26 divided by 3130. 13/1565 Calculate 30100 divided by -6020. -5 Divide -1 by 21113. -1/21113 Divide -2190 by -2. 1095 Calculate -747 divided by 981. -83/1
{ "pile_set_name": "DM Mathematics" }
4 and 1. 1764 Calculate the common denominator of -71/117 and -5/754. 6786 Calculate the smallest common multiple of 1749 and 2067. 22737 What is the smallest common multiple of 10 and 76? 380 What is the common denominator of -26/3573 and 36/397? 3573 What is the smallest common multiple of 215 and 344? 1720 Calculate the lowest common multiple of 1 and 91. 91 Calculate the common denominator of -141/7000 and -11/24. 21000 Find the common denominator of 83/376 and 3/80. 3760 What is the smallest common multiple of 2324 and 18? 20916 What is the lowest common multiple of 4 and 1638? 3276 Calculate the least common multiple of 1139 and 30. 34170 What is the common denominator of -47/192 and -101/496? 5952 Calculate the common denominator of 89/10 and -97/10. 10 What is the common denominator of -12/185 and 30/407? 2035 What is the common denominator of 103/860 and -30/559? 11180 What is the common denominator of 82/105 and -68/63? 315 Calculate the common denominator of 103/360 and -41/324. 3240 Find the common denominator of -137/66 and -59/30. 330 Calculate the lowest common multiple of 4338 and 144. 34704 What is the lowest common multiple of 692 and 2? 692 What is the common denominator of -11/240 and -17/60? 240 Calculate the lowest common multiple of 157 and 6. 942 What is the lowest common multiple of 160 and 16? 160 What is the common denominator of -49/40 and 61/3? 120 Find the common denominator of -191/4020 and 167/120. 8040 What is the common denominator of 37/24115 and 37/3? 72345 Find the common denominator of -33/862 and 23/20. 8620 What is the lowest common multiple of 68 and 12? 204 What is the common denominator of 3/2 and 73/7640? 7640 Calculate the common denominator of 17/132 and -16/561. 2244 Calculate the smallest common multiple of 336 and 108. 3024 Calculate the common denominator of 127/60 and 92/15. 60 Calculate the least common multiple of 454 and 16. 3632 Calculate the smallest common multiple of 196 and 6. 588 Calculate the least common multiple of 429 and 1547. 51051 What is the lowest common multiple of 64 and 128? 128 Calculate the least common multiple of 117 and 9. 117 Find the common denominator of 62/363 and 56/297. 3267 Calculate the lowest common multiple of 18 and 88. 792 What is the smallest common multiple of 2 and 1652? 1652 Calculate the smallest common multiple of 1092 and 26. 1092 Calculate the least common multiple of 21 and 14. 42 Calculate the common denominator of 30/53 and 35/318. 318 Calculate the common denominator of -74/195 and -2/13. 195 What is the smallest common multiple of 11088 and 4? 11088 Calculate the lowest common multiple of 129 and 21. 903 Calculate the common denominator of 4/611 and 35/52. 2444 Calculate the common denominator of 101/560 and 39/16. 560 Find the common denominator of 71/238 and -103/6. 714 Calculate the smallest common multiple of 10 and 29. 290 What is the smallest common multiple of 582 and 16? 4656 What is the lowest common multiple of 6 and 167? 1002 What is the least common multiple of 392 and 588? 1176 Calculate the common denominator of -91/600 and -7/155. 18600 Calculate the smallest common multiple of 9 and 6297. 18891 Calculate the lowest common multiple of 187 and 33. 561 What is the lowest common multiple of 1120 and 208? 14560 Calculate the least common multiple of 12 and 3476. 10428 What is the common denominator of -119/108 and 49/312? 2808 Calculate the common denominator of 46/11 and 37/339. 3729 Calculate the lowest common multiple of 5525 and 182. 77350 Calculate the common denominator of -67/168 and -157/420. 840 Calculate the smallest common multiple of 3648 and 20. 18240 Calculate the smallest common multiple of 938 and 67. 938 What is the common denominator of 41/8811 and 57/1958? 17622 What is the smallest common multiple of 568 and 11? 6248 What is the common denominator of 103/108 and 11/96? 864 What is the least common multiple of 39 and 2028? 2028 What is the smallest common multiple of 2955 and 140? 82740 Find the common denominator of -5/1906 and 47/8. 7624 Calculate the least common multiple of 22 and 5362. 58982 Find the common denominator of -125/216 and -169/84. 1512 Calculate the lowest common multiple of 204 and 850. 5100 Calculate the smallest common multiple of 4302 and 33. 47322 Find the common denominator of 27/1118 and -65/16. 8944 What is the smallest common multiple of 322 and 506? 3542 What is the smallest common multiple of 28 and 340? 2380 What is the common denominator of 41/20 and -107/6? 60 What is the common denominator of -23/286 and 19/130? 1430 What is the common denominator of 7/1576 and -24/2167? 17336 Calculate the common denominator of 91/16 and 47/112. 112 Calculate the lowest common multiple of 3702 and 20. 37020 What is the smallest common multiple of 5 and 128? 640 Calculate the common denominator of -37/66 and -23/62. 2046 Find the common denominator of 44/5 and 39/4714. 23570 Calculate the common denominator of 25/23 and 101/6. 138 What is the common denominator of -69/665 and -10/931? 4655 What is the least common multiple of 320 and 8? 320 Calculate the smallest common multiple of 777 and 1110. 7770 Find the common denominator of -169/84 and -73/44. 924 What is the least common multiple of 18 and 14? 126 What is the smallest common multiple of 21 and 33? 231 Find the common denominator of 68/69 and 91/810. 18630 Calculate the common denominator of -23/964 and -49/36. 8676 Find the common denominator of -70/33 and -61/135. 1485 What is the smallest common multiple of 612 and 2176? 19584 Calculate the least common multiple of 30 and 2958. 14790 Calculate the common denominator of -1/9 and 95/24. 72 What is the lowest common multiple of 720 and 90? 720 Calculate the smallest common multiple of 18 and 6360. 19080 What is the lowest common multiple of 21 and 82? 1722 Calculate the lowest common multiple of 164 and 56. 2296 What is the lowest common multiple of 18 and 27? 54 Calculate the lowest common multiple of 7 and 14. 14 Calculate the smallest common multiple of 2 and 928. 928 Calculate the lowest common multiple of 10 and 46. 230 What is the smallest common multiple of 345 and 114? 13110 Calculate the lowest common multiple of 24 and 460. 2760 What is the common denominator of 53/6 and 157/41916? 41916 What is the common denominator of 71/99 and 2/121? 1089 What is the common denominator of 169/30 and 113/702? 3510 What is the least common multiple of 4 and 358? 716 What is the common denominator of 57/55 and 51/40? 440 Find the common denominator of 63/65 and -97/624. 3120 Calculate the lowest common multiple of 180 and 460. 4140 Calculate the smallest common multiple of 137 and 4. 548 Calculate the common denominator of -61/60 and 7/6. 60 What is the lowest common multiple of 920 and 1840? 1840 What is the smallest common multiple of 9 and 162? 162 Calculate the common denominator of -47/918 and -53/255. 4590 Calculate the least common multiple of 16 and 132. 528 What is the least common multiple of 18 and 168? 504 Calculate the common denominator of -7/180 and 61/180. 180 Find the common denominator of 11/230 and 11/20. 460 Find the common denominator of -23/113 and -32/7571. 7571 What is the common denominator of -57/49 and -39/56? 392 Calculate the least common multiple of 495 and 1210. 10890 Find the common denominator of -13/280 and -33/80. 560 Find the common denominator of -29/22 and 99/50. 550 Calculate the common denominator of 4/39 and -5/39. 39 Calculate the common denominator of 55/1438 and -91/22. 15818 What is the common denominator of 31/2493 and -67/554? 4986 Calculate the common denominator of -65/171 and -1/9. 171 What is the common denominator of 83/396 and 111/220? 1980 Find the common denominator of 81/88 and -153/17710. 70840 Find the common denominator of -39/1174 and -13/3. 3522 Find the common denominator of -19/890 and -65/1958. 9790 What is the lowest common multiple of 990 and 90? 990 Calculate the lowest common multiple of 144 and 162. 1296 What is the lowest common multiple of 472 and 18? 4248 What is the common denominator of -193/7050 and -8/4935? 49350 Calculate the smallest common multiple of 90 and 10. 90 Find the common denominator of -3/10 and 25/2806.
{ "pile_set_name": "DM Mathematics" }
= -86, -4*z + 11 = 3*j. Solve 0 = c - 4*b + 29, c + 13 = z*b - 4 for c. -5 Let h(o) = 2. Let p(i) = 6*i - 38. Let t(u) = -h(u) - p(u). Let d be t(-18). Let j = d + -140. Solve -2*f + 5*m + 4 - 15 = 0, 5 = j*f - m for f. 2 Suppose 45*k = 25 + 55 + 10. Solve -k*l = -8, -5*j - 36 = -j - 5*l for j. -4 Suppose -110*y = -107*y - 3*u - 15, 4*y = -4*u + 44. Solve 0 = -j - 5*z + 4, -2*j + 3*z + y = 4*z for j. 4 Let o = 33 - 29. Suppose 2*a - t + 162 = -o*t, -4*t + 81 = -a. Let p = a + 93. Solve -4*m + 5 + 1 = -r, -m - 5*r + p = 0 for m. 2 Let d(i) = -10*i**2 + 28*i - 3. Let v be d(3). Let n be v/(-45) + (-4)/20. Solve 2*p + 2*u - 2 = n, -3*p - 5*u + 4 + 5 = 0 for p. -2 Let m = 7 - 1. Suppose 5*i - 205 = 45*x - 40*x, -4*i - 5*x + 119 = 0. Suppose -50*l + 28 = -i*l. Solve -y + m = -o - l, -o - 17 = -4*y for o. -5 Suppose 18 = -j - 4*l, 5*l = -3*j + 6 - 25. Solve 9 = -j*f + 3*i, -81*i + 79*i + 6 = -4*f for f. 0 Suppose 3*d + 2*c - 7 = 4, c - 1 = 0. Let k = 7 + -7. Solve 3*x = d*w - k*w + 12, -3*x + 10 = -5*w for w. 1 Let b(p) = p**3 + 22*p**2 + 38*p - 36. Let j be b(-20). Let w(a) = -3*a + 8*a - 2 + 25. Let u be w(0). Solve -4*k + 0*y + y = u, 7 = k + j*y for k. -5 Let a = 6344 - 6340. Suppose 4*p - t - t - 10 = 0, 0 = -4*p + 4*t + 4. Suppose -p = -3*k + 5*g + 18, -5*g - 2 = 2*k. Solve -a*r = -k, 6*b - 2*b = 4*r - 4 for b. 0 Let y be (-3)/(-9)*((-7 - -527) + -1). Let z = y + -166. Solve -p = -x, z*x - 4 = 2*x + 4*p for x. 4 Suppose -13*l - 842 = -946. Let b = 42 + -20. Solve -4*z = -l*z + a - b, -14 = 4*z + 3*a for z. -5 Let n = -49 + 56. Suppose 12 = -n*x + 5*x. Let i be ((-2)/(-3) + 112/(-42))*x. Solve -3*j = -t + i, 4*j + 0*t + 23 = -t for j. -5 Let k be -3 + (-4 - -8) + 3. Suppose 0*s - 5 = 5*f + 5*s, -f - k = 4*s. Let c = 426 + -424. Solve -c*g = -5*p, p + 3*p = f for g. 0 Suppose -69 = -2*i - 3*a - 198, -208 = 4*i - 4*a. Let f be 108/33 - i/(-209). Solve -f*l + v + 29 = -4*v, 4*l - 4*v - 28 = 0 for l. 3 Let y be (0 - -3)*(-20444)/114. Let s = y + 542. Solve s*u - 5*r - 11 - 2 = 0, 0 = 3*u - 2*r - 1 for u. -3 Let o be -5*(-6)/10 + -3. Suppose 0 = -6*i + 20 - 8. Let w be (0/i - -13)/((-8)/(-8)). Solve -2*d - 2 = -2*b, -5*d = 3*b - o*b + w for d. -2 Suppose 4*t = 4*s, -139*s = -134*s - t - 8. Solve -3*o = -3*w, 2*o - 1 = s*w + w for o. -1 Suppose -18 = 4*a - 6, 31 = 4*w - 5*a. Suppose 2*k = -2*u + 48, 69 = 2*k + u - 6*u. Suppose -k = -d - 26. Solve 0 = j + w*n - 8 + 1, -n + d = 0 for j. 3 Suppose -15 = -5*p - 0. Suppose 41 - 182 = p*k + 3*n, -245 = 5*k + 3*n. Let g = 52 + k. Solve g = 2*s - 2*l + 10, 2*s + l + 10 = -3*l for s. -5 Let i(p) = p**3 - p**2 - 9*p + 1. Let j be i(-2). Suppose -4*v + 28 = 3*w, -1 = -v - w + j. Solve 4*q = 3*d - 28, 12 = -d + v*d for q. -4 Let j be ((-1056)/(-80))/(3/10). Let c be 12 + (-407)/j - (-1)/4. Solve o - 2 = 4*z - 7, 5*z + 15 = -c*o for o. -5 Let q be (-2700)/810*12/(-10). Suppose 7*z = 10*z - 9. Solve -y - 8 + z = 2*w, 5*y - q*w + 25 = 0 for y. -5 Suppose -21 = -4*p + o, 4*o = -2*p + 5*o + 11. Suppose -3250*t - 1400 = -3306*t. Solve -5*q = 2*k + t, 3*q + p*k + 27 = -7 for q. -3 Suppose -61 - 7 = -12*l - 32. Solve 5*b + 4*s + 37 = 0, -4*s = -l*b + 404 - 407 for b. -5 Let i be (-6)/9 - -1 - (-5540)/30. Let h = 185 - i. Suppose -2*c + g - 1 = c, 3*c = 4*g - 4. Solve 2*k - w = c, -3*k = -5*w - h*w + 7 for k. 1 Suppose -23*d = -d - 176. Suppose -5*a + 76 = -4*i, 9*i + d = 7*i. Solve 3*y = 2*k - 9, 2*k - k = -4*y - a for k. 0 Suppose -48*d + 2987 - 2843 = 0. Solve d*q = -2*v - 6, 7*q + 6 = -3*v + 4*q for v. 0 Let d = 14 - -4. Let v = d - 14. Solve -4 = j, 0 = -v*o - o + 4*j + 21 for o. 1 Let o = -1 + 5. Suppose -2*f = 4*p - 4, -p - 2 = -2*f - 3. Suppose 800*h - 780*h = 80. Solve 14 = -2*c - o*i - f, 5*c + 29 = -h*i for c. -5 Suppose 48 = -14*z + 16*z. Let i = 29 - z. Suppose 0 = i*b + g - 4 - 5, -3 = 5*b - 2*g. Solve -w - a = b, -5*w + 2*a + a = 5 for w. -1 Let p = -97 - -9. Let r = p - -90. Solve -3*z + 5*y - 25 = 0, r*y = 2*z + 11 - 1 for z. 0 Suppose 2*q - 2*r - 2 = 0, -8*q + r + 4 = -6*q. Solve -2*z = 5*m + 21 - 3, z + 11 = -q*m for m. -4 Suppose 2*o + 62 = -8*v + 9*v, -5*o + 370 = 5*v. Solve -69*x = -v*x - 3*t, 2 = 2*t for x. -3 Let b be (-224)/(-896) + 30/8. Solve -2*d = -b*g - 14, 5*g - 6 + 29 = -3*d for d. -1 Let t(r) = -r**3 + 21*r**2 + 18*r - 357. Let q be t(21). Solve 3*v - 4*f = -8, 4*v + 5*f + 11 - q = 0 for v. 0 Let y(v) = -27*v + 379. Let k(o) = -82*o + 1137. Let f(h) = -2*k(h) + 7*y(h). Let q be f(15). Solve -5*n = 3*m - 9, 0*n - 9 = -q*n - 3*m for n. 0 Let y be 19 + -6 + (-473)/43. Solve 5*z = -27*t + 31*t - 16, -y*z = 0 for t. 4 Let u be (610/50 - 8) + 4/5. Solve -1 + 0 = -u*q - 3*f, -2*q - 5*f = -8 for q. -1 Let q = 8127 - 8122. Let c(k) = 8*k - 6. Let y be c(1). Solve -y*x + 2*t - 7*t - 19 = 0, t = -q for x. 3 Suppose 2*x = -2*x + w + 655, w = 5*x - 819. Let n = -159 + x. Solve -p - 3*g = 12 + n, -5*g - 15 = -5*p for p. -2 Suppose 7*q - 2*q + 2*j - 14 = 0, 2*j = 4*q - 22. Suppose 144*a - 92 + 92 = 0. Solve -b = -q*o - 5 - a, -3*o = -b + 4 for o. -1 Let j(p) = -2*p**2 - 106*p + 4. Let v be j(-53). Solve a = -4*w, -w + 2*w + v*a = 0 for w. 0 Suppose -47*r = -45*r - 2. Let g be (-17 + 17)/(r*-1). Suppose g = -5*d + 24 - 4. Solve a - 3*a = -d*t, -a - 2*t = -4 for a. 2 Let q(f) = -f**3 - 8*f**2 + 10*f + 125. Let y be q(-7). Solve -13 = -3*t + 8*d - y*d, 5 = -5*t - 2*d for t. 1 Let t be (117/(-78))/(-3*2/20) + 33. Solve 3*q - a = 1, -3*q + 5*a = 21 - t for q. -1 Let x(k) = k**3 - 3*k**2 - k + 3. Let w be x(3). Let a = -33778 + 33781. Solve -h - 3*v + 4*v - 5 = w, 4*h = -a*v - 20 for h. -5 Let n be 10 - (-1)/(2 - 3). Suppose 75*b + 14 = 406 + 58. Suppose -n - 15 = -b*l. Solve a - t + 0 = 7, -2*t = l for a. 5 Let h = 16008 - 16003. Solve a + 36 = -h*w, -5*w = 8*a - 6*a + 37 for w. -7 Let p(i) = -i**3 - 28*i**2 - 57*i - 38. Let m be p(-26). Let b = m - 87. Solve 4*w = 4*d - 8, -d + b*d = -w + 18 for d. 4 Let k = -485 - -514. Let z = -26 + k. Let x = 2 - 0. Solve -4*l = x*s - 30, 0*s - 35 = -4*l - z*s for l. 5 Suppose 2987*a + x = 2991*a - 24, 20 = -5*a - 5*x. Let f(h) = -h**2 - h + 5. Let w be f(0). Solve -5*m = a*u + 17 - 6, -m = w*u - 2 for u. 1 Let s(i) = -2*i + 2. Let l be s(-2). Let x(m) = m**3 + 9*m**2 + 120*m + 1566. Let t be x(-11). Solve -p = -t*r, 0 = r + r + p - l for r. 1 Let d = -12 - -17. Suppose -d*g = 3 + 12. Let l be ((-462)/110)/(g/10). Solve -p + 5*b = -0*p - l, -2*b - 1 = -5*p for p. -1 Let p(s) be the second derivative of -s**3 + 135*s**2/2 + 118*s + 1. Let i be p(22). Solve -i*l - 10 = -5*h + 24, -2*l - 1 = h for h. 5 Let i(o) = -230 + 23 + 15 - 55 + 10*o. Let s be i(25). Solve -m - 2*b = -2*m + 4, 0 = m - b - s for m. 2 Let w = 0 + 2. Suppose 14*i + 225 = 281. Solve -k + i = 3*k - s, -w*s + 18 = 5*k for k. 2 Suppose -6*r - 125 - 79 = 0. Let b = r + 37. Suppose o = -4*o + 20. Solve b*k - o*g = -2*g - 5, 2*g + 10 = 0 for k. -5 Let g be (10/4)/(22/132). Let t be (g/5 + -2)*12. Let c be -2*4/t - (-44)/3. Solve 0 = -2*y - 2*n + 2, 0 = -y + 6*n - 2*n - c for y. -2 Let h = -358 + 355. Let u be (-22)/(-66)*(0 - h). Solve -2*z = 3*y + u, 4*z - 5*z + 3 = 5*y for z. -2 Suppose -3*p + 2*h - 11 = 0, 3*p - 15 = 4*p + 5*h. Let w be -1*(p - -11) + 10. Solve 0 = w*q - 2*u + 4, q = -4*u - 5 - 5 for q. -2 Let u(q) = -7*q + 65. Let v be u(9). Let z be v/(8/(-6))*36/27. Let c be z/16 - (-33)/8. Solve 4*l - 2*r + 18 = 0, 2*l - c*r + 2 = -4 for l. -5 Suppose 15*s + 18 = 10*m - 7*m + 16*s, -45 = -5*s. Let b be 12/2 - (2 + -1). Solve m*f - 21 = b*f + 3*k, -f - 28 = 5*k for f. -3 Let m be 12/1 + -4*(0 - -1). Let w be (((-350)/(-15))/5)/((-2)/(-6)). Let z = w - m. Solve 2*h - z*h - 13 = 5*x, 4 = -4*x for h. -2 Let h(c) = c**3 - 6*c**2 + 5*c. Let d be h(5). Let p(q) = -q**3 - 27*q**2 - 37*q - 259. Let v be p(-26). Solve 0 = 3*a + 4*t + 4, d = -3*a + 5*t + 5 + v for a. 4 Let b be (3 + 22 - 6) + -15. Solve 15 = -b*o - 23*c + 18*c, 2*o - 6 = 2*c for o. 0 Let a be 204/15 - (-6)/(-10). Suppose 3*q - a = -58. Let h be (-2)/q + 6/(-45). Solve 0*n = n + 4, h = -4*u - 5*n - 24 for u. -1 Let x = -6081 + 6081. Solve g + 5 = -y - x*y, 8 = 2*g - y for g. 1 Suppose 2*y + 11 = 2*g + 21, -4*g = -y - 4. Solve 3*b + 11 = -5*d - 1, 2*d = 2*b + y for d. 0 Suppose 7 = 5*k - 6*k. Let w(b) = 2*b**2 + 11*b + 6. Let z be w(k). Solve 7*
{ "pile_set_name": "DM Mathematics" }
= -0*s + 5*s - 5*q + 35, -4 = 4*s + 2*q for s. -3 Suppose -2*k + 2*m = -12, -15 = -4*k - m + 2*m. Let f(y) = y - 1. Let l be f(k). Solve 3*z + 5 = l*h, 5*z + 0*h = h - 6 for z. -1 Let h(r) = 5*r**2 + 2*r**2 - r**3 - 3*r**2 - 4. Let c be h(3). Let x be (-108)/15*10/(-3). Solve -5*n + 3*d = x, 23 = -c*n + 2*d + 2 for n. -3 Suppose -5*y + 7*g - 2*g + 25 = 0, -2*y = 3*g - 5. Let z(r) = r - 1. Suppose -p + 3*p = 8. Let o be z(p). Solve 2*l = y*n, -3*l - o = n + 4 for l. -2 Let w be 0*2/(-8)*-2. Let u(p) = -3 - 1 + w*p + 2*p. Let a be u(3). Solve -a*x - b - 5 = -6*x, 20 = -3*x - 4*b for x. 0 Let b = 11 + -8. Suppose 4*v = -d + 7, b*d + 2*d = -2*v - 1. Suppose -2*c = 1 + 3, v*c = -5*r + 6. Solve -35 = 5*u + 5*y, 0 - r = 2*u - 4*y for u. -5 Let c(s) = 5*s**3 - 10*s**2 - s - 3. Let f(g) = g**3 - g**2 - g. Let v(l) = -c(l) + 6*f(l). Let x be v(-5). Solve -5*m - 15 = -x*p - 2*p, 5*m + p - 9 = 0 for m. 1 Let q(x) = -x**3 + 5*x**2 + 5. Suppose -3*u + 20 = 5. Let v be q(u). Solve 0 = 5*a + v*t + 10, 4*a + 3 = -5*t - 7 for a. 0 Suppose 0 = -5*x + 137 + 3. Solve -4*d + 2*o + o = x, 0 = 4*d - 4*o + 32 for d. -4 Let y(h) be the third derivative of -h**6/120 - 2*h**5/15 - h**4/3 - 2*h**3/3 + h**2. Let a be y(-7). Solve -a*l + 15 = 3*j, -5*l - 5 = -2*j + j for l. 0 Let r = -3 + 8. Suppose 4*l - 2 - 2 = -4*a, -r = l - 2*a. Let d be 2 + (-3)/(l/1). Solve -m + 5 = -f + 2*m, -f - 3*m = d for f. -5 Let v = -200 + 207. Solve 4*a + m = v, -a - 5*m = -0*a + 22 for a. 3 Suppose 2*y = -5 + 15. Suppose -a = -c - y, a + 0 = 5. Solve -3 = h - 6*p + 5*p, c = h - 3*p + 11 for h. 1 Suppose 0 = 7*s - 8*s + 3. Solve -9 = -3*c, s*w + c + c - 21 = 0 for w. 5 Let w be 2 + 0/1 - 0. Suppose 14 - 2 = 3*v. Let s = 1 + v. Solve -q = -5*q - m - 12, s*q - 2*m = -w for q. -2 Let d(r) = 3*r + 12. Let v be d(-3). Solve -u + 3*p - 4 = -20, 3*u + v*p = -12 for u. 1 Suppose 0 = -s - 4*s. Suppose -6*z + 2*z + 92 = s. Solve z + 12 = -5*x + 3*m, 3*x = -2*m - 2 for x. -4 Let n = -2 + 5. Let j(i) = 2*i + 1. Let l be j(1). Suppose 4*k = -2*u - 2, l*u + 0*u = -3*k + 3. Solve n*g - 2*b - 15 = -5*b, -g + 15 = u*b for g. 0 Let a = -33 - -35. Solve 0 = -v - 5*z + 8, -a*v - 4 = -5*v + 5*z for v. 3 Let l = 59 + -55. Solve 0 = -l*w - 5*q - 23, 5*q = -3*w + 3*q - 12 for w. -2 Let g = -2 - -4. Let k = 4 - -34. Suppose d = -4*d - n + k, 3*d = 4*n + 32. Solve 3*s = -g*h + 7, -4*s - 2*h + d = -0*h for s. 1 Let a(j) = -3*j - 60. Let q be a(-24). Solve q = -3*m, z + 3*m = -4*z - 22 for z. -2 Let o(v) = v**3 + 2*v**2 + v + 1. Let y be o(-2). Let g(m) = 5*m**2 - 1. Let p be g(1). Let c = y + p. Solve c*u + l = 4*u - 4, -5*u - 5*l = 20 for u. 0 Let c(l) = -6*l**2 + 2*l - 1. Let f be c(1). Let b(s) = s**2 + 4*s. Let z be b(f). Solve -3*p = 15, z*o - 4*p - 3 = 12 for o. -1 Suppose 3*j - 15 + 0 = 0. Suppose 12 = -j*u + 2*q + q, 0 = -u + 4*q - 16. Solve -3*f + 1 - 4 = u, 3*m + 16 = -f for m. -5 Let d(s) = -7*s + 1. Let r be d(1). Let n be (1/(-2))/(r/24). Let h = 4 - n. Solve -c + 0*y - h*y + 5 = 0, 4*c + 3*y = 5 for c. -1 Suppose 25*v - 28*v + 12 = 0. Solve v - 3 = -3*t - 5*b, -3*b - 1 = 2*t for t. -2 Let q(j) = -2*j - 19. Let b be q(-13). Let f = b - 3. Suppose n = 0, 8 + 2 = 5*w + n. Solve w*t + 19 = -3*d, -7 = -f*t + d + 2*d for t. -2 Suppose 31 - 7 = 4*z. Suppose -j + 12 - 3 = 0. Let r = j - z. Solve 4*o - 2*o + r*c - 1 = 0, 3*o - 3 = -3*c for o. 2 Suppose 2*l - 4*a - 24 = 0, 2*a + 11 = -2*l - a. Solve w - 22 = 5*g, 3*w - 3 = 2*g - l for g. -5 Let v(z) = -z**3 - 2*z**2 + 2. Let d be v(-2). Solve -2*o - 3 = r, -2*o - 1 = d*r + 1 for o. -2 Let t be ((-2)/3)/(8/(-84)). Solve -3*u = -5*z + 27, -4*u = -0*u + 3*z + t for u. -4 Let f = -8 - -7. Let g = -1 - f. Suppose -3*d + 29 - 5 = 4*h, -5*h - 4*d = -31. Solve -3 = 4*a - x, a + g*x = -h*x - 4 for a. -1 Suppose 3 - 1 = 2*p - 2*x, 0 = 3*p + x - 15. Suppose 3*o - 16 = o. Solve 5*v - 3 = -2*a + o, p*a = 2*v - 14 for a. -2 Suppose s = -1 - 0. Let y = -4 + 7. Let z = y + s. Solve -4 = -2*o + 4*n, 2*o - z*n - 18 = -3*o for o. 4 Let b be (1 - (-4)/(-2))*-75. Suppose -2*l - 3*l + b = 0. Solve -s + 7 = 2*d, 2*s - 4*d + 3 = -l for s. -1 Let h be (2 - -3 - 0)/(-1). Let t = 8 + h. Let s = 99 - 59. Solve 3*f - t - 1 = g, -5*g - 5*f + s = 0 for g. 5 Suppose 8*s = s + 140. Solve u + 3*i = -i - 19, 5*u - s = 3*i for u. 1 Let j(y) be the third derivative of y**2 + 0 + 1/24*y**4 + 0*y - 2/3*y**3. Let v be j(4). Solve v = -2*a + 2*k - 3*k + 2, a + 5 = k for a. -1 Let z be ((-51)/12)/((-1)/4). Let v = 24 - z. Let a = v + -2. Solve -3*b - 12 = -0*b, 4*b = a*s + 9 for s. -5 Suppose c = 7 - 2. Solve 0 = j + 3, -2*j - 14 = -c*q + 2 for q. 2 Suppose v + 12 - 3 = 0. Let l = -6 - v. Solve 4*i = 2*n + 18, 6*i + l = 2*i - 5*n for i. 3 Suppose -3*b = -b. Solve 0 = 5*y - 5*m, 16 = -3*y - 5*m - b for y. -2 Suppose -2*w = -0*w. Suppose -a - 2*s = -5, w*a = 2*a - s - 5. Solve 0 = 2*n + 5*f + a, n + 2*f = -2*n + 1 for n. 1 Let j = 63 - 60. Solve -l - j = -3*m, -2*l = -l + m + 3 for l. -3 Suppose -2*d + d = b - 2, -2*b + 4*d + 16 = 0. Suppose 2*m = -0*m + 12. Solve -4*u + b*f - 20 = 0, 3*u = m*u - 5*f + 25 for u. 0 Let r be 0*4/(-12) + 2. Solve 0 = 5*j - 2*x - 15, r*j + 2*j - 12 = x for j. 3 Let p(o) be the third derivative of -o**6/120 - o**5/12 - o**4/8 + 5*o**3/6 - 4*o**2. Let i be p(-4). Solve f + 2*g + 10 = 0, f - i = 5*f - 5*g for f. -4 Let c(d) = d. Let l be c(4). Let a = -10 + 19. Let q = a - 5. Solve y + 4*y + 13 = -l*r, 0 = -q*y + r - 2 for y. -1 Suppose -7 - 8 = -5*j. Suppose -2*m + 48 = -2*i, 8*i + 15 = j*i. Solve -d + u = -5, d - u = -4*d + m for d. 4 Suppose 2*n + 2 = 3*s, n + 4*n - 5 = 5*s. Suppose -18 = -s*y - 2. Suppose u - 1 - 3 = 0. Solve 0 = -y*f + 5*v + 14, 1 = -u*f - 4*v - 3 for f. 1 Suppose 0 = 2*q + 8 - 18. Solve -3*z + 2*t + 4 = 0, -2*t - 12 = -q*t for z. 4 Let g(b) = b**2 - 10*b + 2. Let i be g(10). Solve o = y, 7*o - 2*o = -i*y + 7 for y. 1 Suppose -5*z + 82 = -4*j, -3*j - 2*j = -2*z + 43. Solve 3*c - v = -5*v + 6, c + z = 4*v for c. -2 Let w be 21/(-2) + 6/12. Let d(b) = b**3 + 10*b**2. Let t be d(w). Suppose -5*y + 9*y - 8 = 0. Solve 5*a - y*a = -f - 7, t = 2*a + 6 for f. 2 Let z be (81/54)/((-1)/(-2)). Solve -3*u - 3 = -3*k, u + z*k + 13 = -0*u for u. -4 Let i be 2/4 + (-3)/6. Suppose i = -t + 3 - 1. Solve 0 = 3*o - t*o - 4*k + 8, -3*o - 4*k = 8 for o. -4 Let y(h) = h + 5. Let k be y(-4). Let f be 4 + -2*(1 + 0). Suppose -o - 5*c + 38 = 0, 0 + 6 = f*o - 4*c. Solve -t - 2*t + p = -k, -o = -3*t - 5*p for t. 1 Let a(o) be the first derivative of 1/3*o**3 + 4*o + 7/2*o**2 - 2. Let q be a(-7). Solve r + 5*g = -15, 0*r = q*r - 3*g - 9 for r. 0 Suppose f = -n - 0*f + 18, n + 2*f = 14. Let l = n - 18. Solve -9 = -3*a + 4*o - 0*o, -l*o - 14 = 2*a for a. -1 Let u be 3 + -1 + 0 + 1. Suppose 4*h - m - 20 = 0, h - u*m - 12 = -3*h. Suppose 2*q + 2*q = a - h, -11 = -4*a + 3*q. Solve o + 2*w = 2, -14 = o - 4*w + a for o. -4 Let o = 8 - 5. Suppose p - o*k - 9 = 0, p - 2 = -k - 5. Solve 0 = -4*n + 16, p = -6*i + i + 2*n - 3 for i. 1 Let k(m) = m**2 - 7*m + 8. Let g be k(6). Suppose -q - 5*t = 8, 0*q - g*q + 4*t = -12. Solve 0 = -4*d + 4*c - 8, -6*d - q*c - 8 = -2*d for d. -2 Suppose l + 2*r - 4 = -1, 4*l + 2*r + 6 = 0. Let f(v) = -v**2 - 4*v. Let h be f(l). Solve -a - 2*u - 20 = h*a, 0 = 2*a - u + 6 for a. -4 Suppose 8 = 5*a - 12. Suppose 0*t - 3*t = r - 23, 4*t = a*r - 12. Let d be (1 - 3) + 5/1. Solve -4*z = -r*z - d*j - 8, -4*j + 10 = -5*z for z. -2 Suppose 6 = 2*b + h, -3*b + 3*h + 0*h = 0. Solve 2*o + 12 = -b*l, -2*l - 5*o - 26 = -l for l. -1 Let y be ((-4)/6)/(7/(-126)). Solve 0 = -4*s + 4*w - y + 4, 2*w - 10 = 5*s for s. -2 Suppose -7*s + 12 = -3*s. Suppose w = s*w. Suppose w = 3*y + y - 16. Solve j - 5 = -y*a + 2*a, 0 = 5*j + 2*a + 7 for j. -3 Let q(l) = -l**2 + 7*l - 6. Suppose 0*h = -h + 5. Let z be q(h). Solve z*d = 3*g - 14, -2*g = -0*g + 4 for d. -5 Suppose -v + 5*v - 10 = 2*u, -v - 5*u = -8. Solve -q + 2*z + 0*z = 3, q = 3*z - v for q. -3 Suppose 0*z - 13*z = -39. Suppose 2*v = -v. Solve v = t - a, -z*t + 0 - 1 = -4*a for t. 1 Let d be (-6)/(-2)*(-2)/(-3). Suppose 0 = -0*u + 3*u - 9. Let t = -1 + u. Solve 0 = -t*z + 3*z - d*o, 3*z = 4*o - 4 for z. -4 Suppose -7*a - 20 = -2*p - 2*a, 5*p - a = 4. Suppose -4*i + 22 = f, -27 - 49 = -4*f - 4*i. Let b = f - 14. Solve 5*j + b*n + 8 = p,
{ "pile_set_name": "DM Mathematics" }
actor of m(5)? False Is -48*((-18)/16)/((-3)/(-2)) a multiple of 6? True Let b = -13 + 15. Does 19 divide b*(266/4)/7? True Suppose 2*f - 8 - 60 = 0. Is 6 a factor of f? False Let m(o) = -o**2 + 9*o. Let n be m(8). Suppose 0*h = 2*a + 4*h - n, h = -5*a + 2. Is 12 a factor of a + 6*9/2? False Let o(u) = -3*u**3 - u + 2 - u**2 - 2*u**3 + 4*u**3 - 3*u**3. Does 8 divide o(-2)? True Suppose 0 = -2*l - z + 6, -3*z = l - 4*l. Suppose -l*d + 4 = -0. Is d a multiple of 2? True Let b(d) be the second derivative of -5*d**3/6 - d**2/2 - 2*d. Let u be b(-1). Let q = u - -14. Is 9 a factor of q? True Is (8/10)/((-3)/(-195)) a multiple of 13? True Let a(v) = v**2 - 13*v. Let w be a(13). Let c = w - -11. Is 11 a factor of c? True Let i = 20 - -37. Is i a multiple of 14? False Suppose -2*d - 2*d = -8. Suppose d*h + 2*m = 51 + 15, 2*h - 66 = -4*m. Is h a multiple of 15? False Let b = 5 - 3. Suppose -5*r = -5*f + 50, b*r + 46 = -2*f + 6*f. Suppose 0 = 3*o + f - 31. Is 4 a factor of o? False Let t be (360 - 6/(-3)) + 3. Suppose -5*a = -2*l - t, -4*a + 400 = 2*l + 90. Is 20 a factor of a? False Let a be (-3)/(-6)*6 + -2. Suppose -6 = -w - a. Suppose w*o = 2*o + 105. Is 15 a factor of o? False Let a(r) = -4*r**2 + 8*r + 3. Let n(z) = -5*z**2 + 9*z + 2. Let x(s) = -4*a(s) + 3*n(s). Does 22 divide x(-5)? True Suppose 0 = 5*l - 3*z - 23 - 82, 4*z = -2*l + 68. Let d = l + -5. Is d a multiple of 4? False Suppose 0 = -4*j, -3*j + 12 = -v + 2*j. Let d be 1/(-4) - (-485)/20. Let p = d + v. Is p a multiple of 12? True Let o = -6 - -8. Suppose 8 = -n - 5*c, -3*c = -o*n + c + 26. Is n a multiple of 3? False Let d be (-12)/(-8)*4/(-3). Let z(a) = 89*a**2 + 3*a + 2. Let l be z(d). Is l/6 + 6/(-9) a multiple of 17? False Suppose 0*p = 2*p - 6. Let b be (12/(-9))/(1/(-6)). Suppose -b - p = -k. Is 11 a factor of k? True Suppose 4 = 3*y - 2. Suppose 0*w - 5*w + a = -163, w - y*a - 29 = 0. Does 11 divide w? True Let a = 90 + -50. Is a a multiple of 10? True Suppose d = -0*d + 60. Is d a multiple of 12? True Let s be (40/(-3))/(3/(-18)). Suppose -2*m - q = -2*q + 17, 3*q + 29 = -4*m. Is 14 a factor of s/30*(-42)/m? True Suppose -c + 3*g + 30 = 0, -g = -5*c + 64 + 100. Is c a multiple of 11? True Suppose v = -8*o + 3*o + 92, o = -3*v + 248. Is v a multiple of 18? False Suppose 3*u - 13 = 83. Is 8 a factor of u? True Suppose 0 = 3*t - 4*s - 28, -8 = 2*s - 0*s. Suppose n = -n + t. Is 9 a factor of -2 + 11/2*n? True Let k = -74 + 233. Suppose -i + 5*o + 36 = 0, -5*o - k = -5*i - 19. Does 13 divide i? True Let s = -202 - -337. Is 27 a factor of s? True Let c(b) = -27*b - 3. Let w be c(-2). Suppose -j - 67 = -4*p + 158, -2*j - w = -p. Does 10 divide p? False Suppose -49 - 79 = -4*z. Suppose y - 3*u - z = 0, -2*y + 4*u = u - 49. Is 4 a factor of y? False Is ((-252)/(-35))/((-6)/(-20)) a multiple of 6? True Let f = -5 - -8. Let d = -10 + f. Let c = d - -17. Does 8 divide c? False Suppose -2*q + 135 = -5*l, -2*q + 5*l + 155 = 4*l. Is 8 a factor of q? True Let p(w) be the second derivative of w**5/20 - w**4/4 - w**3/2 - w**2 + w. Let m be p(4). Suppose 0 = b + k + m*k - 8, -2*k + 2 = 0. Does 3 divide b? False Let o = -2 + 1. Let q = 9 + o. Suppose 3*u + z - 5 = 33, -2*z = q. Does 9 divide u? False Let t(r) be the first derivative of -r**3/3 - 9*r**2/2 + 4*r - 2. Is 9 a factor of t(-7)? True Let c = -77 + 126. Is 30 a factor of c? False Suppose 38 = 4*u - 34. Is u a multiple of 6? True Let i = 4 - -1. Suppose 2*o + 3*o + 10 = 0, -3*x + i*o + 103 = 0. Is x a multiple of 15? False Suppose 9 + 51 = 2*l. Is 3 a factor of l? True Let u = -149 - -219. Is u a multiple of 33? False Does 20 divide ((-69)/(-9) - -2)*6? False Suppose -2*u - 132 = -6*u. Suppose -4*z + z = 2*x - 22, 0 = -3*x + z + u. Is 6 a factor of x? False Let z = 55 - 17. Is z a multiple of 19? True Suppose -i = 3 - 8. Suppose -9*p = -i*p - 156. Is 13 a factor of p? True Let n = 89 + -34. Let p be (155/(-15))/((-1)/3). Let c = n - p. Is 17 a factor of c? False Suppose o + 3*o = 3*k + 63, 3*k - 21 = -3*o. Suppose 2*r - o = -r. Is r even? True Suppose 3*v + 8 + 2 = 4*y, 2*v - y + 5 = 0. Suppose 0 = -2*p - 2*p - 2*l - 76, -p - 5*l = 19. Let w = v - p. Is 17 a factor of w? True Let g(k) = 72*k**2 + 8*k + 10. Is 47 a factor of g(-2)? True Let a be (-1 + -1 - -2)/2. Let g(i) = a*i - 10 - i**3 + 5*i + 9 - i. Does 7 divide g(-3)? True Let h(s) = s**2 - 118. Suppose 5*b + 5*p = 5, -2*b = -3*b + 4*p - 4. Let w be h(b). Is w/(-10) - 2/(-10) a multiple of 8? False Suppose 5*m + 20 = 0, -5*a - 3*m + 381 = 58. Does 7 divide a? False Suppose 0 = -0*h - h - 4. Let y(m) = -m**2 - 5*m - 2. Does 2 divide y(h)? True Let r be (-37)/((-4)/3 - -1). Let b = -66 + r. Is b a multiple of 15? True Let w(s) be the second derivative of -s**4/12 + 5*s**3/3 + 3*s**2/2 - 2*s. Is 19 a factor of w(8)? True Let y(j) = -j**2 - 7*j - 8. Let k be y(-6). Let x be (2/k)/((-1)/5). Suppose -3*h - x*f + 28 = 0, 3*h + 0*h - 56 = 2*f. Does 8 divide h? True Suppose -x = -5*x + 168. Suppose 90 = 2*q - 2*i, 2*i - x - 6 = -q. Is q a multiple of 12? False Suppose 2*a - 150 = -4*x, 2*x = 4*x - a - 69. Suppose 0 = j - x + 3. Is 11 a factor of j? True Let d(r) = 2*r + 2. Let n be d(2). Suppose 15 = 3*f - n*f, 5*u + 4*f - 5 = 0. Suppose -m = -u*m + 80. Does 15 divide m? False Suppose o - 5*o + 12 = 0. Let r(q) = -q**2 + 3*q + 3. Let j be r(o). Is 14 a factor of j*(-2)/(6/(-39))? False Let t be (-4)/3*(-3)/2. Suppose -t = -j, -3*j - 6 = -4*y - 2*j. Is y a multiple of 2? True Suppose -1706 = -12*l - 374. Is 7 a factor of l? False Let p(q) = q**3 - 3*q**2 - 6*q + 2. Let a be p(4). Let b(y) be the third derivative of y**5/60 + 7*y**4/24 + 4*y**3/3 - 2*y**2. Does 2 divide b(a)? True Suppose -2*j + 1 - 7 = 0. Suppose -1 = 5*q - 26. Let m = q - j. Is m a multiple of 3? False Let i(z) = z - 5*z + 0*z - 1 - 3*z**3 + 5*z. Does 7 divide i(-2)? True Let z(r) = -r + 12. Let c be z(10). Is 7 a factor of 4 - (-1 - c/1)? True Let v(x) = 12*x**2 - 3*x + 2. Let g be v(2). Suppose 0 = -4*f - 3*b + 40 + g, -5*f + 4*b + 136 = 0. Is f a multiple of 12? True Let v be 16 - (0 - (1 + 1)). Suppose -v*r = -21*r + 48. Is r a multiple of 5? False Let t(v) = -v**3 + v**2 - v + 204. Is t(0) a multiple of 10? False Suppose 4*k = 2*x - 8, 3*x = -2*x + k + 38. Let u = 1 - x. Does 16 divide (7/(u/30))/(-1)? False Suppose 4*x + 0*x = -24. Let n be 2 + (-6)/1 + 18. Let y = x + n. Is y a multiple of 8? True Let x be 6/(-9) - (-68)/(-6). Let c = 15 - x. Does 9 divide c? True Let q(a) = 53*a**2 + 8*a + 8. Does 9 divide q(-1)? False Suppose -38 = -4*z + 82. Is 15 a factor of z? True Suppose -4*f + 4*s + 8 = 0, 0 = -0*f + f + 4*s - 12. Is 3 a factor of 19/f + 4/16? False Suppose -4*s + 4*n = 0, s + n - 12 = -4*s. Suppose -7 = -s*w + 23. Is w a multiple of 6? False Let n = -20 - -39. Suppose -7 = -i + n. Does 26 divide i? True Let t(j) be the third derivative of j**5/120 + j**4/6 - j**3/3 + j**2. Let d(g) be the first derivative of t(g). Does 5 divide d(6)? True Let b(g) = -g**2 + 2. Let z be b(-5). Suppose -s = -2*w - 24, -4*w + 3*w - 4*s - 3 = 0. Let r = w - z. Is r a multiple of 12? True Let v(c) = -c**3 + 4*c**2 + 2*c - 2. Suppose -3*s - 4 + 16 = 0. Is v(s) a multiple of 3? True Suppose -5*w + 3 = -7. Suppose w*v - 135 = -3*v. Does 9 divide v? True Let z(i) = -i**2 - 12*i + 31. Is z(-14) a multiple of 2? False Let d be (3/(-2))/((-2)/(-20)). Let z(i) = i - 3. Let y be z(-3). Is 15 a factor of 77/5 - y/d? True Let a(t) = 2*t**2 + 9 - 3*t**2 - 8*t + 2*t - 2*t. Let q be a(-9). Suppose d - 13 = -q*d + g, 7 = d - 4*g. Is 15 a factor of d? True Suppose -a = -x - 8, 2*a - 4*x + 38 = 5*a. Suppose -3*c = -2 - a. Is c a multiple of 2? True Suppose -95 - 21 = -4*x. Does 21 divide x - (1 - 3) - 0? False Let s = 20 + -4. Suppose 4*d - s = -0*d. Suppose -d*z = 20, 5*j + 0*z + 4*z = 70. Is j a multiple of 14? False Let q(a) = a**3 - 7*a**2 + 4*a + 14. Let k be q(6). Is k/(-14) - (-2076)/28 a multiple of 17? False Let o = -88 + 217. Let b = 86 - o. Let j = 63 + b. Does 10 divide j? True Let l(v) = v**2 - 7*v + 5. Let j be l(7). Suppose -j*n + 73 + 27 = 0. Is 14 a factor of n? False Let b(a) = a**3 + 6*a**2 + 4*a - 5. Let x be b(-4). Suppose -4*t = x - 31. Is 5 a factor of t? True Suppose -t = -5*z + 8, 2*z - 7 + 5 = t. Suppose 16 + 56 = t*
{ "pile_set_name": "DM Mathematics" }
62823? j**2 + 377133*j - 11 What is the f'th term of 1698, 3645, 6876, 11391, 17190, 24273? 642*f**2 + 21*f + 1035 What is the u'th term of 39293, 39085, 38877, 38669? -208*u + 39501 What is the d'th term of -1818, -3641, -5460, -7269, -9062, -10833, -12576? d**3 - 4*d**2 - 1818*d + 3 What is the w'th term of -115916, -231731, -347546, -463361, -579176, -694991? -115815*w - 101 What is the o'th term of 3661, 7320, 10981, 14650, 18333, 22036, 25765, 29526? o**3 - 5*o**2 + 3667*o - 2 What is the g'th term of 721498, 721447, 721396, 721345, 721294? -51*g + 721549 What is the n'th term of 1271, 2432, 3671, 4982, 6359? -n**3 + 45*n**2 + 1033*n + 194 What is the b'th term of -4438, -4537, -4816, -5365, -6274, -7633? -15*b**3 + 6*b - 4429 What is the f'th term of 103, 433, 679, 841, 919, 913, 823? -42*f**2 + 456*f - 311 What is the l'th term of 2944, 7696, 14264, 22642, 32824? -l**3 + 914*l**2 + 2017*l + 14 What is the a'th term of -7641214, -7641226, -7641238? -12*a - 7641202 What is the f'th term of -22179, -23369, -24559, -25749? -1190*f - 20989 What is the u'th term of 935180, 935686, 936192, 936698, 937204, 937710? 506*u + 934674 What is the q'th term of 107780, 215549, 323308, 431057, 538796, 646525? -5*q**2 + 107784*q + 1 What is the q'th term of 11313531, 11313529, 11313527, 11313525, 11313523? -2*q + 11313533 What is the x'th term of -214200610, -428401216, -642601822, -856802428, -1071003034? -214200606*x - 4 What is the v'th term of -11252, -11253, -11262, -11279, -11304, -11337? -4*v**2 + 11*v - 11259 What is the q'th term of 302933, 302813, 302617, 302345, 301997, 301573? -38*q**2 - 6*q + 302977 What is the t'th term of -1187858, -1187863, -1187870, -1187879, -1187890, -1187903, -1187918? -t**2 - 2*t - 1187855 What is the s'th term of 5901, 6077, 6527, 7389, 8801, 10901, 13827, 17717? 23*s**3 - s**2 + 18*s + 5861 What is the h'th term of 2070362, 2070499, 2070636, 2070773? 137*h + 2070225 What is the c'th term of 17375, 19155, 22113, 26243, 31539, 37995? -c**3 + 595*c**2 + 2*c + 16779 What is the c'th term of 53242, 104871, 156500, 208129, 259758, 311387? 51629*c + 1613 What is the x'th term of -390800, -390791, -390782? 9*x - 390809 What is the n'th term of 3880, 15932, 36018, 64138? 4017*n**2 + n - 138 What is the h'th term of 69436, 138913, 208422, 277963, 347536? 16*h**2 + 69429*h - 9 What is the x'th term of 24766, 24729, 24644, 24511? -24*x**2 + 35*x + 24755 What is the f'th term of 4926, 4608, 4290? -318*f + 5244 What is the j'th term of 10997632, 10997634, 10997636, 10997638? 2*j + 10997630 What is the f'th term of -203886, -407390, -610894? -203504*f - 382 What is the x'th term of 15165897, 30331805, 45497713, 60663621? 15165908*x - 11 What is the g'th term of 13723044, 27446195, 41169346? 13723151*g - 107 What is the l'th term of 32831, 65724, 98679, 131696, 164775? 31*l**2 + 32800*l What is the n'th term of -8593, -16437, -24259, -32059, -39837, -47593, -55327? 11*n**2 - 7877*n - 727 What is the x'th term of 2715508, 2715598, 2715690, 2715784? x**2 + 87*x + 2715420 What is the h'th term of -15349, -14969, -14589? 380*h - 15729 What is the i'th term of 95591, 95981, 96371, 96761, 97151? 390*i + 95201 What is the p'th term of 47866147, 47866143, 47866137, 47866129? -p**2 - p + 47866149 What is the n'th term of 39863, 39608, 39353? -255*n + 40118 What is the r'th term of 9717150, 9717157, 9717164? 7*r + 9717143 What is the s'th term of -1307725, -2615497, -3923269, -5231041? -1307772*s + 47 What is the z'th term of -77384686, -77384688, -77384690? -2*z - 77384684 What is the y'th term of -142, 318, 2014, 5564, 11586, 20698, 33518? 103*y**3 - 261*y + 16 What is the b'th term of 800, 2176, 4188, 6836, 10120? 318*b**2 + 422*b + 60 What is the v'th term of -1112, -2428, -3986, -5786? -121*v**2 - 953*v - 38 What is the o'th term of -96357, -192900, -289629, -386544, -483645, -580932, -678405? -93*o**2 - 96264*o What is the l'th term of 904434, 904401, 904368, 904335, 904302, 904269? -33*l + 904467 What is the a'th term of 4664171, 9328327, 13992483? 4664156*a + 15 What is the f'th term of 145729, 291448, 437159, 582862? -4*f**2 + 145731*f + 2 What is the l'th term of 28210, 112817, 253824, 451225, 705014? -l**3 + 28206*l**2 - 4*l + 9 What is the u'th term of 72969, 145900, 218825, 291744, 364657, 437564? -3*u**2 + 72940*u + 32 What is the k'th term of 164333, 164172, 164011, 163850, 163689, 163528? -161*k + 164494 What is the u'th term of -140264, -146156, -152048, -157940, -163832, -169724? -5892*u - 134372 What is the a'th term of -5461, -10847, -16195, -21487, -26705, -31831, -36847, -41735? 3*a**3 + a**2 - 5410*a - 55 What is the b'th term of -378975, -378985, -378995, -379005, -379015? -10*b - 378965 What is the x'th term of 418502690, 418502689, 418502688, 418502687, 418502686? -x + 418502691 What is the x'th term of 155, 1548, 5595, 13706, 27291, 47760? 235*x**3 - 83*x**2 - 3*x + 6 What is the c'th term of -6186, -12361, -18628, -24987, -31438? -46*c**2 - 6037*c - 103 What is the o'th term of 30350, 60816, 91282, 121748? 30466*o - 116 What is the x'th term of -505286, -505285, -505286, -505289, -505294, -505301? -x**2 + 4*x - 505289 What is the q'th term of -8537, -14926, -25575, -40484, -59653, -83082? -2130*q**2 + q - 6408 What is the g'th term of -242176, -484347, -726520, -968695? -g**2 - 242168*g - 7 What is the t'th term of -6809, -13886, -20959, -28028, -35093? 2*t**2 - 7083*t + 272 What is the a'th term of -5112957, -10225915, -15338873, -20451831, -25564789? -5112958*a + 1 What is the r'th term of -2147364, -4294730, -6442096? -2147366*r + 2 What is the w'th term of -28, -126, -352, -766, -1428, -2398, -3736? -10*w**3 - 4*w**2 - 16*w + 2 What is the f'th term of 453, -342, -1137, -1932, -2727? -795*f + 1248 What is the y'th term of 833609, 833578, 833533, 833468, 833377? -y**3 - y**2 - 21*y + 833632 What is the t'th term of -33187, -132965, -299337, -532303? -33297*t**2 + 113*t - 3 What is the c'th term of 22457, 22708, 22971, 23246? 6*c**2 + 233*c + 22218 What is the z'th term of -65566, -130934, -196302, -261670, -327038? -65368*z - 198 What is the h'th term of 74265, 72589, 70911, 69231, 67549? -h**2 - 1673*h + 75939 What is the a'th term of 141604, 283171, 424756, 566359? 9*a**2 + 141540*a + 55 What is the y'th term of 33324, 33285, 33246? -39*y + 33363 What is the m'th term of 181594707, 181594705, 181594703? -2*m + 181594709 What is the u'th term of -308, 1084, 4146, 8878, 15280? 835*u**2 - 1113*u - 30 What is the h'th term of 349, -365, -2205, -5735, -11519, -20121? -94*h**3 + h**2 - 59*h + 501 What is the g'th term of 8636039, 8636038, 8636037, 8636036? -g + 8636040 What is the x'th term of 1445697, 1445693, 1445689? -4*x + 1445701 What is the i'th term of 35847308, 35847344, 35847404, 35847488? 12*i**2 + 35847296 What is the u'th term of -4100091, -8200439, -12300787, -16401135, -20501483, -24601831? -4100348*u + 257 What is the m'th term of 8817, 9034, 9265, 9516, 9793? m**3 + m**2 + 207*m + 8608 What is the t'th term of 2372, 4846, 7408, 10100, 12964, 16042? 7*t**3 + 2*t**2 + 2419*t - 56 What is the w'th term of 141168, 282375, 423582? 141207*w - 39 What is the h'th term of -10007554, -10007545, -10007536, -10007527? 9*h - 10007563 What is the f'th term of 147, 1233, 4179, 9903, 19323, 33357, 52923, 78939? 153*f**3 + 12*f**2 - 21*f + 3 What is the v'th term of -12367, -12060, -11753? 307*v - 12674 What is the o'th term of 5271374, 5271546, 5271732, 5271938, 5272170, 5272434, 5272736? o**3 + o**2 + 162*o + 5271210 What is the b'th term of 255380, 253881, 252382, 250883, 249384? -1499*b + 256879 What is the f'th term of -6935, -13624, -19805, -25226, -29635, -32780, -34409? 42*f**3 + 2*f**2 - 6989*f + 10 What is the h'th term of 3456, 8170, 12858, 17508, 22108, 26646, 31110, 35488? -2*h**3 - h**2 + 4731*h - 1272 What is the b'th term of 5043, 17401, 37071, 64053, 98347, 139953, 188871? 3656*b**2 + 1390*b - 3 What is the t'th term of -49147, -98284, -147421, -196558, -245695, -294832? -49137*t - 10 What is the t'th term of -2584857, -5169559, -7754261, -10338963, -12923665? -2584702*t - 155 What is the r'th term of -4784, -147, 4490, 9127, 13764, 18401? 4637*r - 9421 What is the z'th term of -2261996, -452
{ "pile_set_name": "DM Mathematics" }
w in increasing order. w, -0.2, 7 Let o = 0.2 + -0.1. Let b = 1.9 - -0.1. Sort 4, o, b in decreasing order. 4, b, o Let o = -9.03 + 9. Let p = o + 2.03. Let m = 0.2 - -2.8. Sort -0.2, p, m in ascending order. -0.2, p, m Let i = -33 - -36. Put -5, i, 5 in descending order. 5, i, -5 Suppose -8 = -x - 2*h - 2, 0 = 4*h - 8. Suppose 2*o + x - 8 = 0. Put 0, -3, o in decreasing order. o, 0, -3 Let b = 0.11 + -1.41. Let r = -1 - b. Sort r, 0.03, 4/3. 0.03, r, 4/3 Let i be 4 + 3*4/(-12). Put -5, -3, i in descending order. i, -3, -5 Let r = 54 - 58. Put 2, -6, r in descending order. 2, r, -6 Let g = 3 - 2.9. Sort 6/5, g, -5 in increasing order. -5, g, 6/5 Let m = 13 - 11. Sort 1, m, 3 in ascending order. 1, m, 3 Suppose 15*q = 10*q - 5. Sort 1, -14, q. -14, q, 1 Let l = 4.979 - -0.021. Sort l, 1.1, -0.4 in decreasing order. l, 1.1, -0.4 Let h = 8 - 8.03. Let u = h - -0.06. Put u, 0.1, 3 in descending order. 3, 0.1, u Suppose -3*l = -6, 3*o + 5*l - 6 = 1. Sort o, 2, -5. -5, o, 2 Let f be 98/(-6) + 4/12. Let t = 32 + f. Suppose 5*z = 9 + t. Put z, 0, 2 in decreasing order. z, 2, 0 Let d = 24 - 23.95. Let f = -0.1 - -0.05. Let z = d - f. Sort 1/6, z, -0.1 in descending order. 1/6, z, -0.1 Let f = 28 + -30. Sort 5, 4/11, f, 0.2. f, 0.2, 4/11, 5 Let w = -7 + -4. Sort w, -5, -2. w, -5, -2 Let f = 73/6 + -23/2. Let y = -0.4 + 0.3. Let o = -0.024 - 0.176. Sort y, f, o in increasing order. o, y, f Let v = 86.98 + -87. Sort v, 0.5, -0.3 in descending order. 0.5, v, -0.3 Let m be (0/1 - -1) + -1. Let a = -137 + 140. Put m, 1, a in ascending order. m, 1, a Let g = -22 - -12.2. Let j = g + 10. Let m = -11 - -15. Put m, j, -0.2 in increasing order. -0.2, j, m Let d = -45 - -48. Put 7, -5, d in ascending order. -5, d, 7 Let g be ((-9)/(-1 + -2))/5. Let s = -0.9 + 6.9. Let x = s + -5. Sort 0, x, g. 0, g, x Let x = 2 - 1.94. Let c = -3.06 + x. Let g = -13 - -12. Put -2, c, g in decreasing order. g, -2, c Let s be (-16)/(-24) - 33/9. Let k = -0.1 + 0. Sort 2, s, k in decreasing order. 2, k, s Suppose 2*z = 7*z - 10. Let v = -3 + 8. Put z, v, 3 in ascending order. z, 3, v Let m = -0.4 - -0.9. Let w be (-1 - -1)*(0 - 1)*1. Put w, m, -0.1 in decreasing order. m, w, -0.1 Let a(q) = -q**3 - 8*q**2 + 2*q + 6. Let o be a(-8). Let h(m) = -m**2 + 1. Let w be h(4). Let p = o - w. Put -1, 4, p in descending order. p, 4, -1 Suppose -15 = -3*i - 3*l - 0*l, 21 = 5*i + 3*l. Let x = 208 - 206.97. Let z = 0.03 - x. Put z, 1/2, i in descending order. i, 1/2, z Suppose -a - 11 = 2*a + 4*b, -4*a + 7 = b. Let p(s) = -s**2 + 4*s + 7. Let g be 80/14 - (-2)/7. Let i be p(g). Sort a, -2, i in increasing order. i, -2, a Let g = -0.05 + -0.95. Put -0.2, -3, g in decreasing order. -0.2, g, -3 Let d = 103.3 - 103. Sort d, -4, 5, 2/3 in increasing order. -4, d, 2/3, 5 Let t = 0.09 + -9.09. Let a = -9.5 - t. Suppose 0 = 4*o + 5*n - 25, 0*o + 4*n - 20 = 4*o. Put o, 0.2, a in increasing order. a, o, 0.2 Let r(k) = -3*k + k + 2 - 1. Let c be r(2). Sort 0.01, -1/5, c in decreasing order. 0.01, -1/5, c Let t = -1 + 5. Let j = 6 - t. Let n = -2.9 - -3. Sort n, j, -2/5. -2/5, n, j Let l be (-12)/15*(-10)/4. Let k be (-10)/(-4) - l/(-4). Let j = -0.54 + 0.04. Sort j, -2/5, k in descending order. k, -2/5, j Let n = 66 + -45. Sort 2, n, 1 in decreasing order. n, 2, 1 Let n be (54/(-56) - 1) + 2. Let c = n - 71/420. Put 4/3, 3, c in ascending order. c, 4/3, 3 Suppose 4*v = -0*v. Suppose -j - 3 = -v. Let x = -7 + 7. Sort j, 1, x in descending order. 1, x, j Let v be 27/(-24)*4/3. Sort 5/3, v, 0 in descending order. 5/3, 0, v Suppose -106 = 2*p + 2*p - 2*x, 4*p + 121 = -3*x. Sort p, -2, 0.3 in decreasing order. 0.3, -2, p Let r = 0.07 + -0.47. Put r, 6, 3/4 in decreasing order. 6, 3/4, r Let u be 2 + -1 + 1 + -12. Let v be (u/(-25))/((-2)/(-10)). Sort 3, 0, v. 0, v, 3 Let k = -1 + 1. Let o = 4 + k. Let i(j) = -3*j - 1. Let f be i(-1). Sort f, o, -1. -1, f, o Let v(h) = h**3 + 7*h**2 + 6*h + 3. Let d be v(-6). Suppose d*i = -i - 16. Sort -3, i, 0. i, -3, 0 Let d = 9 - 7. Let k be ((-3)/d)/((-9)/3). Put k, 2, 3 in increasing order. k, 2, 3 Let r = -0.148 + 0.048. Sort 4/7, r, 4, 3/8 in ascending order. r, 3/8, 4/7, 4 Let p = -0.1 + -0.1. Let c(f) = -2*f**2 - 9*f + 10. Let u be c(-7). Let h = u - -74/3. Put p, h, 0.5 in decreasing order. 0.5, p, h Suppose 3*g + 7 = -2. Let p be (-3)/(-4) - 551/116. Suppose 3 = 2*w - 3. Sort g, p, w in decreasing order. w, g, p Let d be (3*-1)/(21/(-35)). Suppose 3*z = 4*x - 1, 0*x = d*x - 5*z. Let q(c) = -c**3 + 2*c - 1. Let y be q(x). Sort y, -2, -5 in decreasing order. y, -2, -5 Let i = 83 - 81. Sort -1, -4, i in decreasing order. i, -1, -4 Let f = 0 - -4. Sort 6, 3, f. 3, f, 6 Suppose -4*q - 2*l = -0*l + 308, 4*l = 5*q + 398. Let w = -76059/5 + 15134. Let c = w - q. Sort -4/5, 0.5, c. -4/5, c, 0.5 Let f be ((-14)/21)/(2/594). Let z = f - -987/5. Let w = 115 - 1037/9. Put z, w, 5 in decreasing order. 5, w, z Let u(k) = k - 3. Let c(q) be the first derivative of -q**2/2 + 4*q - 2. Let p(t) = -6*c(t) - 7*u(t). Let h be p(0). Put -1, 4, h in decreasing order. 4, -1, h Let p(z) = -z**3 + 4*z**2 + 2*z + 12. Let g be p(5). Sort 5, 0.4, g in ascending order. g, 0.4, 5 Let s = -25.5 + 26. Put -0.1, -0.5, s in decreasing order. s, -0.1, -0.5 Let y = 9523 + -18673/2. Let t = y + -190. Sort -1/11, 1, t. t, -1/11, 1 Let r be (-55)/99 + 2/9. Put r, -1/5, -7 in ascending order. -7, r, -1/5 Suppose 24*r - 19*r - 25 = 0. Sort r, 2, -5 in descending order. r, 2, -5 Suppose 10 = -5*o - 2*a, o + o + 3*a + 4 = 0. Let v be 0 + (1 + 0)/(-1). Sort 5, o, v in decreasing order. 5, v, o Suppose -4*l = -0*l + 12. Let y = -50.4 + 50. Put y, 0, l in increasing order. l, y, 0 Suppose 2*b + 9 = w - b, 5*b - 2 = -4*w. Let k be (-10)/(-6)*-6 - -6. Sort k, 1/2, w in increasing order. k, 1/2, w Let n(s) be the second derivative of s**5/20 - 5*s**4/12 + 5*s**3/6 - s**2/2 + 3*s. Suppose 0 = -m + 2 + 2. Let o be n(m). Put o, -1, 2 in ascending order. -1, 2, o Let j be (-4)/(-2) - (-3 + 5). Suppose j*m = 2*m - 8. Sort m, -5, -1 in ascending order. -5, -1, m Let m = 4129/3534 - 1/589. Sort m, -1, -2/11. -1, -2/11, m Let o(t) = -3*t. Let u be o(1). Let k = -1.3 + -0.1. Let g = -1 - k. Sort 1, u, g in descending order. 1, g, u Suppose -5*q = 3*a + 3, -1 = -a + 5*q - 2. Let c be (-2 + 4)*a + -1. Let f(g) = -g - 4. Let o be f(c). Sort 5, -2, o in descending order. 5, o, -2 Let z(d) = 2*d + 6. Suppose -2*s + s + 9 = -2*u, u = 3*s - 7. Let c be z(u). Sort 12, 5, c. c, 5, 12 Let o(b) = -b**3 + 6*b**2 + 2*b - 8. Let g be o(6). Suppose 0 = -0*u + g*u + 4. Let y be -4*u/6*3. Put y, 5, -5 in descending order. 5, y, -5 Let d(j) = -j**3 + 6*j**2 - 4*j - 3. Let a be 2/5 - 161/(-35). Let y be d(a). Put -3, y, 4 in decreasing order. 4, y, -3 Let g = 0.22 + -0.22. Sort g, 5, 4 in decreasing order. 5, 4, g Suppose -c + 4*q = 18, 5*c + q + 4 = -2. Sort 0.3, c, 4 in decreasing order. 4, 0.3, c Let m = -12 + 11. Let p = 1.5 + m. Let y be 1 - (1 + 2/(-3)). Sort 2/7, p, y in decreasing order. y, p, 2/7 Let z be 21/12 - (-2)/8. Sort z, -0.4, 0.04. -0.4, 0.04, z Suppose 31 = -3*j + 5*z, -6*j + 2*z - 18 = -2*j. Let r = -176 + 177. Sort r, 3, j in increasing order. j, r, 3 Let x = 88 - 93. Put 5, -3, x, 0 in ascending order. x, -3, 0, 5 Suppose -4*l = -2*z - 3 - 3, 0 = 5*l - 5*z + 5. Put l, 2, -71 in decreasing order. l, 2, -71 Let g = -0.007 - 0.193. Sort 2/11, 3, g, 1 in ascending order. g, 2/11, 1, 3 Let g = 10.1 + -2.1. Let i = -7.55 + g. Let p = i + -0.05. Put p, -0.4, 4 in decreasing order. 4, p, -0.4 Let y = 7 + -5. Suppose 2*h - 4 = y. Sort -5, 2, h in decreasing order. h, 2, -5 Let l = 6 + -5.6. Let w = 3.377 - 0.077. Let p = 3 - w. Sort p, l, 3. p, l, 3 Let c = -11 - -6. Let z be (10/2)/(c - -4). Suppose -5 = 2*v - 4*n - 1, 3*v + n - 8 = 0. Sort v, 0, z in ascending order. z, 0, v Suppose 5*w + x - 65 = 0, 0 = 2*w - 5*x - 9 - 17. Sort w, 1, -5 in increasing order. -5, 1, w Let c = 6.1 + -6.6. Put 0, -0.3, c in decreasing order. 0, -0.3, c Let n be (-2 + 3)/((-1)/(-4)). Sort n, 0, -2. -2, 0, n Let s(j) = -5*j**2 + j**2 + 2 + j + 0*j**2 + 3*j**2. Let h be s(2). Let x = 4.5 - 0.5. Sort x, -4, h. -4, h, x Let l = -0.08 - -0.12. Sort l, -5, -4 in descending order. l, -4, -5 Let g be (-6)/9*((-55)/(-10) + -4). Put g, -2, 1, -5 in descendi
{ "pile_set_name": "DM Mathematics" }
36*y**2 + 5*y + 5. Let c(d) = -d**2 - d - 1. Let z(x) = -3*c(x) - m(x). What is the second derivative of z(t) wrt t? 6*t - 66 Let s(u) = -u**6 - 6*u**5 + 6*u**4 - 6*u**3 + 9*u**2. Let d(w) = -w**6 - w**5 + w**4 - w**3. Let g(c) = -6*d(c) + s(c). Find the third derivative of g(o) wrt o. 600*o**3 Let t(g) = -27*g**5 + 2*g + 6. Let a(p) = 82*p**5 - 7*p - 17. Let u(h) = -6*a(h) - 17*t(h). Find the second derivative of u(w) wrt w. -660*w**3 Let i(n) = -23*n**2 + 21. Let p(m) = -68*m**2 + 62. Let g(r) = -11*i(r) + 4*p(r). What is the first derivative of g(k) wrt k? -38*k Let i(b) = -73*b**3 + 25*b**2 - 5*b + 5. Let x(u) = 109*u**3 - 38*u**2 + 7*u - 7. Let w(g) = -7*i(g) - 5*x(g). Find the third derivative of w(l) wrt l. -204 Suppose h - 3*w = -17, h - 5*w = 7 - 32. Let p = 0 - h. Differentiate 4 - 3*d + p*d - 6*d with respect to d. -4 What is the third derivative of 7*x**5 + 14*x**5 - 45*x**2 + 12*x**2 - x**5 wrt x? 1200*x**2 Let w(v) be the second derivative of 11*v**6/30 - v**2/2 + 9*v. Differentiate w(m) wrt m. 44*m**3 Let u(r) be the third derivative of 1/210*r**7 + 0 + 1/24*r**4 + r**2 + 0*r**5 + 0*r**6 + 0*r**3 + 0*r. Find the second derivative of u(y) wrt y. 12*y**2 Differentiate -n - 11 - 4*n - 10*n with respect to n. -15 Suppose 0 = j - 4*w + 3 + 3, -3*j = w - 21. Suppose -5*o + 9 + j = 0. What is the second derivative of 3*s + 2*s**o + 0*s - 2*s wrt s? 12*s Let c(s) = -s. Let g(z) = -9*z**2 + 3*z. Let o(x) = -2*c(x) - g(x). Find the second derivative of o(d) wrt d. 18 What is the third derivative of -3*f**4 + 33*f**2 - 9*f**4 - f**4 wrt f? -312*f Suppose 8 = -k + 5*k. What is the derivative of 3*o + 0*o + 1 - 2*o**k - 3*o wrt o? -4*o Let p = 5 + -7. Let u(y) = 5*y**3 - 9*y + 17. Let i(w) = -w**3 + 2*w - 4. Let z(b) = p*u(b) - 9*i(b). Find the first derivative of z(k) wrt k. -3*k**2 Let t(m) = m - 2. Let h be t(8). Differentiate 2 - h + k + 3 wrt k. 1 Let p = 2 + -1. Find the first derivative of -3*t**4 + 0*t**4 - p + 4*t**4 wrt t. 4*t**3 What is the third derivative of -38*c**2 - 28*c**3 + 80 - 80 wrt c? -168 Find the second derivative of a - 2*a**4 - a + 0*a**4 - a wrt a. -24*a**2 Let x = -11 + 12. Let r be 0 + 1*(x + 3). What is the derivative of a**r + 5*a**2 - 5*a**2 - 1 wrt a? 4*a**3 Let k(h) = -7*h + 2. Let j(d) = 6*d - 2. Let t(s) = 6*j(s) + 5*k(s). Let b be t(9). Differentiate -9*g + 0*g + 6 - 1 + b*g wrt g. -2 Let w(c) be the second derivative of c**8/84 + c**4/12 - 2*c**2 - 4*c. Let j(z) be the first derivative of w(z). What is the second derivative of j(o) wrt o? 80*o**3 Let r(q) be the first derivative of q**3/3 - 15*q**2/2 + 23*q - 10. Differentiate r(k) wrt k. 2*k - 15 Let r(s) = -s**2 - 10*s + 3. Let l be (22 - 7)*4/(-6). Let f be r(l). Find the second derivative of -17*k**3 - 3*k**2 + 3*k**2 + k + 16*k**f wrt k. -6*k Suppose 5*t - 3*g + g - 14 = 0, -3*t = -5*g + 3. What is the first derivative of 0 + 0 - l**t + 2 wrt l? -4*l**3 Let y(f) be the first derivative of 0*f + 0*f**4 - 2/3*f**3 - 1 + 0*f**2 + 1/2*f**6 + 0*f**5. What is the third derivative of y(c) wrt c? 180*c**2 What is the third derivative of 4*q**5 - 191*q**2 + 193*q**2 + 30 + 2*q**6 + 2*q**6 wrt q? 480*q**3 + 240*q**2 Suppose -20 = -5*j - 0. Find the second derivative of -g + j*g + 5*g**2 - 2*g**2 wrt g. 6 Let i(u) be the second derivative of -6*u + 0*u**5 - 5/12*u**4 + 0*u**2 + 0 - 1/15*u**6 + 0*u**3. What is the third derivative of i(h) wrt h? -48*h Suppose 260 - 100 = 4*j. Find the third derivative of -a**2 + 8*a**3 + j*a - 40*a wrt a. 48 Differentiate -133 + 84 - 12*c - 2*c**3 + 42*c with respect to c. -6*c**2 + 30 Suppose 0*q - 10 = -4*q + 2*d, -2*q = 5*d - 11. What is the second derivative of 2 - v - 2 - 3*v**q wrt v? -18*v Suppose -2 - 2 = -g. What is the second derivative of 19*p**4 + 0*p - 18*p**g + p wrt p? 12*p**2 Let j = 5 - 11. Let d(m) = m + 6. Let n be d(j). What is the derivative of -4*y - 1 + n*y + y wrt y? -3 Let p(g) = 14*g**5 - 11*g**4 - 16*g - 11. Let y(x) = 3*x**5 - 2*x**4 - 3*x - 2. Let k(n) = -2*p(n) + 11*y(n). What is the second derivative of k(w) wrt w? 100*w**3 Let w(p) = -p**2 + p - 1. Suppose -3*c + 7 = -c + 3*k, 0 = 2*c + k - 9. Let t(n) = -7*n**2 + 5*n. Let y(q) = c*w(q) - t(q). Differentiate y(b) wrt b. 4*b Let k(c) = 8*c**6 - c**5 - 4*c**2 + 2*c - 1. Let r(w) = w**6 + w**5 - w + 1. Let u(s) = -k(s) - r(s). What is the third derivative of u(q) wrt q? -1080*q**3 Let k(y) = y. Suppose 3*x + 4*s - 9 = 2*x, 3*x + s = 5. Let a(b) = 2*b + 2. Let p(i) = x*k(i) - a(i). Differentiate p(v) with respect to v. -1 Let p(t) be the first derivative of -11*t**2 - 11*t - 13. What is the first derivative of p(i) wrt i? -22 Let a(g) be the first derivative of -5/6*g**6 + 0*g**3 + 0*g**4 - 1/2*g**2 - 3 + 0*g**5 + 0*g. What is the second derivative of a(o) wrt o? -100*o**3 Find the third derivative of -c**2 + c**3 - 5*c**2 + c**3 wrt c. 12 Let b be 26/4 + 15/(-6). Let r(x) be the first derivative of -1/3*x**6 + 0*x**5 + 0*x**b + 0*x**2 + 0*x + 2/3*x**3 - 2. Find the third derivative of r(y) wrt y. -120*y**2 Find the second derivative of -8*q**4 - q - q**4 + 11*q**4 wrt q. 24*q**2 What is the second derivative of -26*p**5 + 49*p**3 - 33*p - 24*p**3 - 25*p**3 wrt p? -520*p**3 Let b(w) be the third derivative of w**8/1680 - w**4/4 - 2*w**3/3 + w**2. Let t(i) be the first derivative of b(i). Find the first derivative of t(y) wrt y. 4*y**3 Let p(x) = -x + 4. Let r be p(7). Let s be 6/4 - r/6. Find the second derivative of s*w**3 - 2*w**3 + 2*w**3 - 5*w**3 - 3*w wrt w. -18*w Suppose 2*d - 10 = 2*f, 0 = 4*d + f - 5 - 5. What is the third derivative of 0*h**2 - 3*h**d + h**2 - 4*h**2 + 0*h**3 wrt h? -18 Let h(p) = 18*p**5 - 3*p**4 + 9*p**2. Let t(v) = 18*v**5 - 4*v**4 + 8*v**2. Let w(a) = 4*h(a) - 3*t(a). Find the third derivative of w(b) wrt b. 1080*b**2 Let c(z) be the second derivative of z**6/5 + 10*z**2 - 6*z. What is the first derivative of c(u) wrt u? 24*u**3 Let c(y) be the first derivative of 0*y - 3/2*y**2 + 0*y**3 - 2 - 3/4*y**4. What is the second derivative of c(w) wrt w? -18*w Suppose -x - 2 + 6 = 0. What is the second derivative of -d**2 + 4*d**2 - x*d + 0*d**2 wrt d? 6 Suppose 2*k + k - 6 = 0. Find the second derivative of 5*i + i**5 - 9*i**2 + 9*i**k wrt i. 20*i**3 Let j be (-34)/(-8) - (-2)/(-8). Find the third derivative of -2*h**5 + j*h**4 - h**2 - 4*h**4 - h**2 wrt h. -120*h**2 Let q(y) be the second derivative of y**9/3024 - y**5/120 - y**3/6 - y. Let m(x) be the second derivative of q(x). What is the second derivative of m(l) wrt l? 20*l**3 Let g(j) = 1. Let m(u) be the third derivative of -u**5/60 + 13*u**3/6 - 6*u**2. Let v(q) = -5*g(q) + m(q). What is the derivative of v(s) wrt s? -2*s Find the second derivative of -9*h**3 + 13*h - h**3 - 11*h - 3*h**3 wrt h. -78*h Suppose 16 = 6*p - 2*p. What is the third derivative of -p*o**2 - o**6 + o**2 + 3*o**6 wrt o? 240*o**3 Let n(i) be the third derivative of 3*i**6/40 + 7*i**4/8 - 2*i**2. What is the second derivative of n(t) wrt t? 54*t Let v be -4 - -3 - (1 + 1). Let n(h) = -h. Let s be n(v). Find the third derivative of -3*x**4 - s*x**2 + 3*x**4 + x**5 wrt x. 60*x**2 Let s = 6 - 3. Find the first derivative of 2*x**4 - s*x**4 - 2 - 2 - 1 wrt x. -4*x**3 Let k be (-22)/(-4) + 2/(-4). Differentiate -3 + t + k - 2*t + 1 with respect to t. -1 Let f(g) be the first derivative of g**5/24 + 7*g**4/24 - 7*g**3/3 + 2. Let n(b) be the third derivative of f(b). Find the first derivative of n(p) wrt p. 5 Let i(u) be the first derivative of -10*u**3/3 - 5*u**2 - 8. Find the second derivative of i(p) wrt p. -20 Let l(z) be the second derivative of -13*z**5/10 - z**4/12 + 2*z. Find the third derivative of l(r) wrt r. -156 Let l(j) = 7*j**2 - 22. Let r(p) = 20*p**2 - 66. Let s(g) = -11*l(g) + 4*r(g). What is the first derivative of s(m) wrt m? 6*m Let q(m) be the second derivative of -m**6/6 - 13*m**4/12 - 20*m. What is the third derivative of q(f) wrt f? -120*f Suppose -2*r - 4*c - 8 = -c, c = -2*r. Suppose -r*x + x + 8 = -3*y, 0 = 5*x - 4*y - 18. What is the first derivative of -x - 4*a + a**3 + a + 3*a wrt a? 3*a**2 Let y(r) = r**5 - r**3 - r**2 - r - 1. Let w(o) = -12*o**5 + 5*o**3 + 5*o**2 - 3*o + 5. Let x(j) = w(j) + 5*y(j). Find the second derivative of x(n) wrt n. -140*n**3 What is the seco
{ "pile_set_name": "DM Mathematics" }
wo letters picked without replacement from {p: 9, k: 2, o: 5, n: 2}? 5/153 Two letters picked without replacement from {u: 6, o: 3, h: 1, z: 1, e: 2, j: 2}. Give prob of sequence hz. 1/210 Calculate prob of sequence effe when four letters picked without replacement from ffxefeeffofffemo. 1/65 Two letters picked without replacement from {t: 1, g: 7, d: 4, b: 2}. What is prob of sequence tb? 1/91 Four letters picked without replacement from {e: 1, n: 2, l: 2, k: 1, c: 1, o: 1}. Give prob of sequence ncln. 1/420 What is prob of sequence wiw when three letters picked without replacement from wwmwbbwmii? 1/30 Two letters picked without replacement from zzuzzzzz. Give prob of sequence zu. 1/8 What is prob of sequence ooor when four letters picked without replacement from ororororrroroooooror? 99/1292 Two letters picked without replacement from {h: 1, u: 3, t: 10, k: 1}. Give prob of sequence uh. 1/70 Calculate prob of sequence zct when three letters picked without replacement from {c: 9, l: 1, z: 1, t: 4}. 6/455 Calculate prob of sequence na when two letters picked without replacement from aooacrncanooraoroo. 4/153 Calculate prob of sequence tdtd when four letters picked without replacement from {t: 18, d: 2}. 1/190 Four letters picked without replacement from cboocbbcdc. Give prob of sequence dbbo. 1/420 Two letters picked without replacement from avnae. Give prob of sequence nv. 1/20 Two letters picked without replacement from kggkgkgllklg. Give prob of sequence ll. 1/22 What is prob of sequence qlz when three letters picked without replacement from lqlpiplzipe? 1/330 Two letters picked without replacement from szttwtwtwwzzszststw. Give prob of sequence tt. 5/57 Four letters picked without replacement from {w: 8, f: 6, z: 3}. Give prob of sequence zwzw. 1/170 Calculate prob of sequence iir when three letters picked without replacement from {i: 11, r: 3}. 55/364 Four letters picked without replacement from {g: 2, b: 2}. What is prob of sequence ggbb? 1/6 What is prob of sequence yy when two letters picked without replacement from {n: 1, y: 11}? 5/6 Four letters picked without replacement from {h: 6, v: 3, k: 6, q: 4}. What is prob of sequence qhhk? 5/646 Four letters picked without replacement from cgzpggggppcc. What is prob of sequence pzcg? 1/264 Calculate prob of sequence xyoy when four letters picked without replacement from xxyobyy. 1/70 What is prob of sequence wvto when four letters picked without replacement from {e: 2, t: 2, w: 3, o: 1, v: 12}? 1/1615 What is prob of sequence ylol when four letters picked without replacement from {o: 2, f: 2, y: 2, j: 8, l: 2}? 1/5460 What is prob of sequence rrz when three letters picked without replacement from {x: 2, r: 2, n: 1, z: 4, s: 3}? 1/165 Four letters picked without replacement from vzzzvzzggzgz. Give prob of sequence vzzg. 7/330 Two letters picked without replacement from jjjjjjyyjjj. What is prob of sequence yy? 1/55 What is prob of sequence za when two letters picked without replacement from {x: 3, z: 2, a: 10, q: 5}? 1/19 Two letters picked without replacement from nenjnsnnnpnennnp. Give prob of sequence pn. 1/12 Two letters picked without replacement from {s: 3, j: 1, o: 2, c: 1, x: 1, g: 8}. What is prob of sequence gc? 1/30 What is prob of sequence yyuu when four letters picked without replacement from {u: 2, g: 1, y: 2}? 1/30 Two letters picked without replacement from {g: 1, m: 1, l: 1}. Give prob of sequence lm. 1/6 Three letters picked without replacement from gurggrgrgggargg. What is prob of sequence ugr? 6/455 Two letters picked without replacement from {z: 1, e: 1, a: 1, v: 1, j: 1}. What is prob of sequence za? 1/20 What is prob of sequence qgag when four letters picked without replacement from {g: 3, a: 3, q: 13}? 13/5168 What is prob of sequence mw when two letters picked without replacement from {m: 3, x: 7, k: 3, w: 1}? 3/182 Calculate prob of sequence hii when three letters picked without replacement from {i: 7, h: 3}. 7/40 Three letters picked without replacement from lwrocggwl. What is prob of sequence wcg? 1/126 Four letters picked without replacement from eeewegwgge. Give prob of sequence ewge. 1/42 Two letters picked without replacement from {g: 1, r: 4, l: 1, a: 6, j: 3}. What is prob of sequence ga? 1/35 What is prob of sequence nx when two letters picked without replacement from xxnxnnxxxnx? 14/55 Three letters picked without replacement from yayayyyyaa. Give prob of sequence aaa. 1/30 Two letters picked without replacement from {e: 3, d: 4, c: 9}. What is prob of sequence dc? 3/20 What is prob of sequence www when three letters picked without replacement from vwvwwww? 2/7 Four letters picked without replacement from {w: 4, p: 1, r: 2, i: 2, x: 3, m: 2}. Give prob of sequence miix. 1/2002 Calculate prob of sequence fr when two letters picked without replacement from {r: 2, f: 8}. 8/45 Calculate prob of sequence jh when two letters picked without replacement from {c: 1, r: 1, j: 2, m: 1, a: 1, h: 1}. 1/21 Three letters picked without replacement from {g: 10, n: 2}. Give prob of sequence nng. 1/66 Three letters picked without replacement from {v: 1, z: 2, c: 1}. What is prob of sequence vzz? 1/12 Four letters picked without replacement from kkkeerrek. Give prob of sequence keee. 1/126 Calculate prob of sequence rh when two letters picked without replacement from wwddhwhrrudwudehddw. 1/57 What is prob of sequence ii when two letters picked without replacement from xxxixxxixxxxxxxixxxi? 3/95 Calculate prob of sequence prpz when four letters picked without replacement from {p: 2, k: 8, r: 4, z: 1}. 1/4095 Four letters picked without replacement from tbbbbpfbb. What is prob of sequence bbtb? 5/126 Three letters picked without replacement from nnnnnn. Give prob of sequence nnn. 1 What is prob of sequence byyo when four letters picked without replacement from {b: 1, v: 2, q: 2, o: 1, y: 12}? 11/6120 Three letters picked without replacement from {j: 4, d: 2, r: 1, v: 3, s: 1}. Give prob of sequence vds. 1/165 What is prob of sequence lwx when three letters picked without replacement from {w: 2, z: 1, x: 1, l: 2, c: 1, a: 2}? 1/126 What is prob of sequence edz when three letters picked without replacement from eeoffzffnfddd? 1/286 Calculate prob of sequence xx when two letters picked without replacement from {h: 1, j: 2, x: 4, l: 4}. 6/55 Three letters picked without replacement from wwwwwqhhqqwhhwhqhqwh. What is prob of sequence wqh? 7/171 Three letters picked without replacement from eflle. Give prob of sequence lfl. 1/30 Calculate prob of sequence aa when two letters picked without replacement from {a: 7, k: 3}. 7/15 What is prob of sequence rrrr when four letters picked without replacement from {f: 5, r: 8, s: 7}? 14/969 Two letters picked without replacement from jyvmejv. What is prob of sequence jy? 1/21 What is prob of sequence yxy when three letters picked without replacement from {y: 2, x: 1}? 1/3 Calculate prob of sequence izu when three letters picked without replacement from {w: 1, i: 1, p: 1, u: 1, z: 1}. 1/60 Three letters picked without replacement from cdddcddddddddddddddd. What is prob of sequence dcc? 1/190 Calculate prob of sequence usu when three letters picked without replacement from ssssssussssu. 1/66 Two letters picked without replacement from licne. Give prob of sequence ec. 1/20 What is prob of sequence wu when two letters picked without replacement from wuwo? 1/6 Calculate prob of sequence mkt when three letters picked without replacement from {t: 1, k: 11, j: 3, r: 1, m: 3}. 11/1938 Calculate prob of sequence mmnm when four letters picked without replacement from mnnmmmmmmmmmnmmmnmmn. 455/3876 Two letters picked without replacement from {e: 3, s: 4}. What is prob of sequence ss? 2/7 Three letters picked without replacement from {n: 9, k: 2, i: 3, j: 4}. What is prob of sequence inj? 3/136 Calculate prob of sequence iv when two letters picked without replacement from {i: 4, v: 2}. 4/15 What is prob of sequence erbe when four letters picked without replacement from {r: 2, b: 3, c: 13, e: 2}? 1/9690 What is prob of sequence dcc when three letters picked without replacement from {d: 17, c: 3}? 17/1140 Two letters picked without replacement from {a:
{ "pile_set_name": "DM Mathematics" }
+ 3 = 0. What is the second smallest value in f, 2, p? f Suppose 3*u = -14 + 5. What is the fourth biggest value in 3, -7, 0.3, u? -7 Let j = 2.7 + 0. Let f = j - 3. Let s be (-1)/(-2) + 5/(-15). What is the third smallest value in f, s, 4/5? 4/5 Let f = 20 - 24.4. Let b = f + 4. Let l = 2 + -6. What is the second biggest value in b, 2/7, l? b Let x be (-259)/154 + 4/22. Let b be 12*((-159)/30 - 0). Let o = b + 64. What is the biggest value in o, 0.1, x? o Let m = -0.6 + 0.9. Let s = 276.5 - 277. Which is the third smallest value? (a) s (b) m (c) -2 b Let m = 63 - 63.04. Which is the second biggest value? (a) 0 (b) -1 (c) m (d) 0.05 a Let n be 4/16 + 73/(-4). Let u be 6/n*(1 + -1). Suppose u = -p - 2*f - 10, -p - 4*p = -5*f + 5. Which is the second biggest value? (a) 0.2 (b) p (c) 4 a Let y be (6/(-15))/(1 + -2). Let v be (9/6 - 2)*1. Which is the second smallest value? (a) y (b) -1/3 (c) v b Let z = 34.9 - 34.94. Suppose -3*l - 5 = -n, -2*l - 3*n - 6 = -4*l. What is the smallest value in z, -0.4, l? l Let x = 2.1 + -2.42. Let z = 0.02 + x. Let h = 4 - 1. What is the second smallest value in -3/8, h, z? z Suppose -4*s = g - 1, 4*s - 4*g - 5 = -9*g. Let w be s + 2 + (-12)/5. Let m = 0.46 - -0.04. Which is the third smallest value? (a) 4 (b) m (c) w a Suppose 21 = -5*k + 31. What is the fourth smallest value in 1, 12, -5, k? 12 Let p = -6 - -5.7. Let v = -28 - -29. What is the second biggest value in v, -2, p? p Let v = 0.1 - 4.1. Let u = -8.16 + 8. Let r = -0.04 + u. Which is the smallest value? (a) v (b) -5 (c) r b Let n = -0.2 + 1.2. What is the second biggest value in n, 2, 4? 2 Suppose -4*f + 7 = -1. Suppose 0 = -f*d + 8. Which is the smallest value? (a) 0 (b) d (c) 4/5 a Let h = 0.5 - 0.75. Let x = h - -0.05. Which is the smallest value? (a) -0.3 (b) x (c) -0.1 a Let q = -0.37 + 0.4. Let l = q + -0.23. What is the third biggest value in l, 2, 0.3? l Let m be (-1)/(-1) - (-42)/8. Let y = 383/60 - m. Which is the biggest value? (a) -0.5 (b) y (c) -0.1 b Suppose -2*l + 9 = 19. What is the second smallest value in l, -1/7, -1.1? -1.1 Let r = 4 - 7. Let f = 115 - 105.8. Let k = -9 + f. Which is the second biggest value? (a) -1 (b) k (c) r a Let u = -47 + 51. Suppose -a = -2*p + 13, -5*a - 3*p = -p + 17. Let h be (-2)/a*(-10)/(-16). What is the third smallest value in h, 0.4, u? u Let b be 25/30*(-22)/(-5) - 3. What is the third smallest value in -1, 0.5, b? b Let h = -5 + 5.1. Let q = -0.6 + h. Which is the second biggest value? (a) q (b) 0.5 (c) -2/3 a Let q = 0.12 - 7.12. Let i = q - -11. Which is the biggest value? (a) -2 (b) -0.3 (c) i c Let n be -6 + 0 + 0 + -2 + 1. What is the third smallest value in -3, n, 0.4? 0.4 Let v = -6 - -8. Let b be 1/((-10)/9) + 1. What is the third biggest value in -0.3, v, b? -0.3 Let q be 6/12 - 946/(-20). Let z = q + -48. What is the second biggest value in 1/5, z, 1? 1/5 Suppose -x - 24 = -3*g, -4*x = -2*g + x + 3. What is the third smallest value in -0.1, 3, g? g Let x = -2 + -3. Which is the biggest value? (a) 1/2 (b) x (c) -36 (d) -1/3 a Let v = 23 + -91/4. Let w = 26 - 23. Which is the biggest value? (a) 2 (b) v (c) w c Let c = 0.19 + 0.31. What is the second biggest value in -0.4, 3, c? c Suppose -x - o - 1 = o, -5*o = -4*x - 17. Which is the third smallest value? (a) 4 (b) 0 (c) x a Let d = 0.1 + -0.6. Let a = -111 - -111. What is the biggest value in -3, d, a? a Suppose 0 = -2*j - 6, -2*k = 5*j + 7 + 2. Let q = 3 + -8. What is the third biggest value in q, k, 0.04? q Let d = 3/5 - 2/5. What is the third biggest value in -0.01, d, -0.2, 2/21? -0.01 Let x = 4 - 3. Let l = -3.8 + 4.1. What is the third biggest value in l, 4, x? l Let l = -30 + 30.34. Let t = l + -0.4. Which is the smallest value? (a) t (b) 1 (c) -1/10 c Let w = -22 - -26. Which is the third smallest value? (a) -1/5 (b) 1/7 (c) 5 (d) w d Suppose 0 = -x - x + h - 3, 2*x + 3*h = -23. What is the third biggest value in -0.05, 1, x? x Suppose 0 = -4*p + 2 + 178. Let z = p + -136/3. Which is the second smallest value? (a) 4 (b) z (c) -0.1 c Let r = -0.8 - -2.3. Let p = r - 1. Let b be 2*(0 - (-10)/12). What is the second biggest value in b, p, 0.4? p Let u = 45 + -10. Let o be 3/(-1) + u/15. Suppose 2*n + 2 = 5*n + 2*k, 0 = -n + k + 9. Which is the second biggest value? (a) o (b) 2 (c) n b Let w be 0 + (-1 + 3 - 4). Let i = 0.09 + -0.19. What is the third smallest value in w, i, 3? 3 Let d(i) = -2*i**2 - 4*i + 1. Let z be d(-3). Let h = 25.95 + 0.05. Let u = h + -24. Which is the third biggest value? (a) u (b) 0.2 (c) z c Let t = -23 - -23.32. Let d = 0.22 - t. Suppose -4*f - 22 = z, 5*z - 5 = -3*f + 6*f. Which is the smallest value? (a) z (b) d (c) -4 c Let q = 2.8 - -0.2. Let g = 0.9 - 2.9. Which is the biggest value? (a) q (b) 0.4 (c) g a Let n = -0.035 + 0.005. Which is the second biggest value? (a) n (b) 0.3 (c) -1 a Let n = -5 - -9. Let l = -0.3 + -1.7. Let w = l - -2.4. What is the third smallest value in w, 0.5, n? n Let q = 130/3 + -44. What is the biggest value in q, -4, -1/10? -1/10 Let g be ((-4)/18)/(-2 + 3). What is the smallest value in -0.2, g, 1, -5? -5 Let x be -2 - (-8 + 2 + 0). Suppose -x = -2*w + w. Suppose 0 = 3*o + o - w. What is the third biggest value in o, 0.3, -3? -3 Let h be (4/18)/((-60)/(-9) + -5). What is the second smallest value in 1, 1/2, h? 1/2 Let w = -8.84 + -0.16. Let h = -8 - w. Let u = -352/1665 - 2/185. What is the smallest value in u, h, 4? u Let w be (-22)/(-231) + (-2)/(-6). Which is the biggest value? (a) w (b) -0.5 (c) -1 a Let r be -1 - 2 - (-7 + 5). Let v be ((-110)/(-3))/(r/3). Let c be -2 - (v/(-12))/(-5). What is the biggest value in c, -3, -0.5? c Let v = 121 - 123. Let t = 0 - 0.1. Let y = 7 + -12. Which is the smallest value? (a) v (b) t (c) y c Let o = -7/3 - -2. Which is the third smallest value? (a) 0 (b) 0.2 (c) o (d) 5 b Suppose -3*l - 4*u = 64, -3*l + 2*u - 78 = l. Let o be 31/4 + (-5)/l. Let f = o + -5. Which is the smallest value? (a) -3 (b) 2 (c) f a Let n = 4/3 - 23/24. Let o = -0.023 + -4.977. What is the third biggest value in -0.3, o, n? o Let y = 13/9 - 74/45. What is the smallest value in y, -2, 0, -0.1? -2 Let r = -14.7 - -19. Let z = 0.3 - r. Which is the second biggest value? (a) z (b) -2 (c) 3 b Let a be (-8)/(-16)*-10*(-2)/(-2). What is the third biggest value in 0.2, a, -3? a Let p = -742/5 + 149. Let h = -10 - -13.5. Let g = h - 3. Which is the second biggest value? (a) -3 (b) g (c) p b Let x = -0.1 - -0.6. Let h = -3.5 - x. Let g = 0.2 - -0.3. Which is the third smallest value? (a) -5 (b) h (c) g c Let h = -559/77 + 47/7. Which is the second smallest value? (a) 1/6 (b) h (c) -1/4 c Let m be 4/(-3)*45/(-100). Which is the fourth biggest value? (a) -4 (b) 2 (c) -1 (d) m a Suppose -7*o - 5 = 16. Which is the biggest value? (a) 0 (b) o (c) 1 (d) -2 c Let v(u) = u**2 - 4*u - 1. Let s be v(3). Let o = s + 6. Let z = -359/5 - -72. What is the third biggest value in o, z, 1? z Let a = -0.3 - -1.3. Let r = 2.9 + 1.1. Let t = a - r. What is the biggest value in -2, 3, t? 3 Let a = -97/2 + 1655/34. What is the third biggest value in 0.1, a, 4, 1/2? a Let h be (-2)/3*(2 + 0). Let w = 9 + -8.5. Let g = -0.1 + w. What is the second smallest value in h, g, 2/7? 2/7 Let y = -0.5 - -15.5. What is the smallest value in -0.2, y, -1? -1 Let z be ((0 + -2)/6)/((-84)/18). What is the second biggest value in -0.1, -0.2, z? -0.1 Let n = 4/55 + 373/165. Let k = n - 8/3. Which is the second smallest value? (a) -0.3 (b) k (c) 0.2 a Let m = 0.6 + -0.53. Let z = m - -2.93. Let o = -10 - -67/7. Which is the smallest value? (a) z (b) o (c) 0 b Let h be 1 + 0 + (-8)/12. Let i = 42 + -47. Which is the third smallest value? (a) i (b) h (c) -2/3 b Let o = 0.155 + 0.045. Which is the biggest value? (a) -0.3 (b) o (c) -4 (d) -0.5 b Let s be 1*(-5)/110*4. Which is the third smallest value? (a) s (b) 2/17 (c) 2/7 c Let h be (-4)/(-20)*(4 + 3/(-1)). Let m = -1 + 2. Which is the biggest value? (a) -1 (b) m (c) h b Let c(b) be the first derivative of -b**2/2 + 4*b - 4. Suppose 0*r - 3*r = -12. Let p be c(r). What is the third biggest value in -4, 1, p? -4 Let u be (-12)/21*(-4 - (
{ "pile_set_name": "DM Mathematics" }
314150? True Does 151 divide 14818521? False Is 2 a factor of 2911513? False Is 14 a factor of 436758? True Is 41553 a multiple of 81? True Does 431 divide 545646? True Does 4 divide 729? False Is 275680 a multiple of 16? True Is 286 a factor of 13367354? True Is 351992 a multiple of 135? False Is 511475 a multiple of 41? True Is 447 a factor of 3473496? False Is 86 a factor of 297388? True Is 170266 a multiple of 56? False Is 63756 a multiple of 50? False Is 15 a factor of 15735? True Is 12 a factor of 20407? False Is 31 a factor of 258044? True Is 4755651 a multiple of 249? True Is 8 a factor of 18229? False Is 57 a factor of 463695? True Is 1618219 a multiple of 106? False Is 98 a factor of 304413? False Does 17 divide 232662? True Is 17 a factor of 6960514? True Is 504888 a multiple of 654? True Is 51380 a multiple of 276? False Does 59 divide 118? True Is 1234107 a multiple of 525? False Is 2 a factor of 163033? False Is 292609 a multiple of 90? False Is 176 a factor of 6173200? 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True Is 10 a factor of 7210? True Is 84842 a multiple of 14? False Is 50 a factor of 4850150? True Is 128 a factor of 615875? False Is 9 a factor of 5428184? False Is 305 a factor of 233935? True Is 262080 a multiple of 117? True Does 98 divide 53116? True Does 27 divide 5255848? False Does 14 divide 2811242? True Is 8 a factor of 592632? True Is 3 a factor of 827073? True Is 56 a factor of 167678? False Is 150 a factor of 21114? False Does 11 divide 566840? False Is 455598 a multiple of 547? False Is 230 a factor of 1491320? True Is 22464 a multiple of 17? False Is 189 a factor of 564441? False Is 17 a factor of 14055? False Is 3719397 a multiple of 92? False Is 5 a factor of 56468? False Does 21 divide 1771938? True Is 145 a factor of 89209? False Does 11 divide 222692? False Does 77 divide 342900? False Does 95 divide 63080? True Is 1834890 a multiple of 15? True Is 1609801 a multiple of 24? False Is 234347 a multiple of 529? True Is 756 a factor of 223020? 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True Does 46 divide 3029422? True Is 116021 a multiple of 5? False Does 1747 divide 12597650? False Does 4 divide 7386116? True Does 24 divide 2683728? True Is 70922 a multiple of 22? False Is 5270736 a multiple of 24? True Does 61 divide 9204351? True Is 7 a factor of 376271? True Is 44 a factor of 9422813? False Does 10 divide 36910? True Does 152 divide 147440? True Does 578 divide 1516094? True Does 19 divide 4947751? False Is 196900 a multiple of 10? True Is 29 a factor of 368242? True Is 116 a factor of 251948? False Does 12 divide 174816? True Is 8555616 a multiple of 183? True Is 217 a factor of 622662? False Does 62 divide 676296? True Is 731 a factor of 1267668? False Is 1129953 a multiple of 353? True Does 235 divide 823332? False Is 62928 a multiple of 207? True Is 266938 a multiple of 46? True Is 10 a factor of 24490? True Is 16939460 a multiple of 297? False Is 37975 a multiple of 155? True Is 250274 a multiple of 95? False Is 770 a factor of 11064378? False Is 716901 a multiple of 20? False Does 8 divide 26498? False Does 200 divide 134382? False Is 47693 a multiple of 5? False Is 26620 a multiple of 110? True Is 357510 a multiple of 170? True Is 8 a factor of 772305? False Is 5039400 a multiple of 925? True Is 16 a factor of 357997? False Is 34650 a multiple of 21? True Is 463 a factor of 357414? False Is 28457 a multiple of 7? False Is 118 a factor of 167678? True Does 14 divide 163018? False Is 11 a factor of 357303? False Is 12313 a multiple of 38? False Is 7 a factor of 373282? True Is 202 a factor of 17865688? True Is 14 a factor of 255374? True Is 16 a factor of 66720? True Is 162 a factor of 79721? False Is 18 a factor of 22842? True Is 5 a factor of 5865? True Is 6361 even? False Does 53 divide 81567? True Is 7 a factor of 2142567? True Is 35394 a multiple of 17? True Does 23 divide 4925728? False Is 74 a factor of 71175? False Is 651068 a multiple of 98? False Is 257637 a multiple of 547? True Does 39 divide 3624738? True Does 192 divide 40896? True Does 113 divide 2132? False Is 10547389 a multiple of 812? False Does 11 divide 3182880? False Does 423 divide 1785641? False Is 1349854 a multiple of 11? True Is 64 a factor of 1764227? False Does 9 divide 4665642? False Does 126 divide 286641? False Does 38 divide 49102? False Does 4 divide 346483? False Is 18398380 a multiple of 19? False Does 3 divide 640469? False Is 35 a factor of 930904? False Is 2 a factor of 1884? True Does 109 divide 153799? True Is 24 a factor of 7790808? True Is 47 a factor of 21961737? True Is 18072 a multiple of 12? True Is 117257 a multiple of 60? False Is 1323080 a multiple of 341? True Is 101 a factor of 2142621? False Is 8589318 a multiple of 787? True Does 17 divide 2896948? False Is 41 a factor of 49856? True Is 107 a factor of 3186? False Does 22 divide 7313106? False Is 1038206 a multiple of 13? True Does 15 divide 3485999? False Does 104 divide 459888? True Is 422 a factor of 2017007? False Is 553974 a multiple of 34? False Is 1691936 a multiple of 4? True Is 27 a factor of 654133? False Does 28 divide 2581445? False Does 886 divide 894860? True Does 41 divide 13726718? True Does 38 divide 369626? True Is 6288505 a multiple of 19? False Does 105 divide 835800? True Is 25 a factor of 22934211? False Is 340 a factor of 519365? False Is 33 a factor of 23794? False Is 352 a factor of 2987745? False Is 26560 a multiple of 415? True Is 10706773 a multiple of 11? True Does 14 divide 86475? False Does 51 divide 164161? False Does 20 divide 1805340? True Does 315 divide 499323? False Is 3782617 a multiple of 11? False Is 158 a factor of 144246? False Does 132 divide 215999? False Is 3 a factor of 23698? False Is 38499 even? False Is 2878011 a multiple of 27? True Does 2 divide 70605? False Is 20730722 a multiple of 142? True Is 359 a factor of 1390944? False Is 1151261 a multiple of 353? False Is 76247 a multiple of 5? False Is 10659999 a multiple of 147? True Is 230243 a multiple of 13? True Does 104 divide 9728417? False Is 1453513 a multiple of 9? False Does 26 divide 67927? False Is 6 a factor of 9459? False Is 1692764 a multiple of 508? False Is 344981 a multiple of 486? False Is 522474 a multiple of 53? True Is 19 a factor of 1596659? False Does 18 divid
{ "pile_set_name": "DM Mathematics" }