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*q**2 - 16*q + 17. Suppose -c = -4746 + 4731. Determine f(c). 2 Let q(h) = -h + h**2 - 7*h - 2 + 7. Let p = -627 - -634. Calculate q(p). -2 Let g(q) be the second derivative of 0 - 9*q + 0*q**2 + 1/20*q**5 + q**3 - 7/12*q**4. Calculate g(6). 0 Let y(i) = -i + 0*i + 0*i. Let f(o) be the first derivative of o**4/4 + 2*o**3/3 - 3*o**2 + 2*o + 7. Let p(d) = f(d) - 5*y(d). Give p(-3). -4 Let i be ((-234)/126)/((-4)/(-14)) - -7. Let l(j) be the third derivative of 5/24*j**4 - 3*j**2 + 0*j + 0 + i*j**3. What is l(-2)? -7 Let l(n) be the third derivative of n**5/60 + n**4/6 - n**3/3 + 2*n**2 + 5*n. What is l(-6)? 10 Let w(v) = 2 - 104*v + 97*v - 7 + v**2 + 2. Determine w(5). -13 Let u(o) = o - 11. Let l(f) = -7 + 0 + 2. Let m(g) = -7*l(g) + 3*u(g). Suppose 20*p + 37 = -4*s + 15*p, -5*p = 2*s + 31. Calculate m(s). -7 Let l(a) = -a**3 + 3*a**2 + 4*a + 5. Suppose 40*h - 113 = 47. What is l(h)? 5 Let f(t) be the first derivative of -7*t**2/2 - t - 2. Let v = 7 - 2. Let g = v - 6. Calculate f(g). 6 Let p(u) = u**3 + 7*u**2 + 4*u - 8. Let m = -88 - -105. Suppose 4*l + 7 = -m. What is p(l)? 4 Let w be 5 + (-8)/((-40)/(-15)). Let v(l) = l**3 + 0*l + 3*l + 2*l**w + 4 - 6*l. What is v(-4)? -16 Suppose 2*x + 15 = -q, -4*q + 12 = 6*x - 10*x. Let n(l) = -l**2 - 7*l - 6. Determine n(x). 0 Let d(z) = -z**2 - 2*z - 1. Let h(w) = w**3 + 3*w**2 - 2*w - 4. Let k be h(-3). Suppose 4*s + k*s + 18 = 0. Determine d(s). -4 Let r(i) be the second derivative of -i**3/6 - i**2/2 - 2*i - 3. What is r(-7)? 6 Let i(w) be the first derivative of -1/3*w**3 + 2*w**2 - 8 + 4*w. What is i(5)? -1 Let w(z) = -13*z**3 + 5*z**2 + 4*z + 1. Let j(g) = 14*g**3 - 6*g**2 - 5*g - 1. Let n(l) = -5*j(l) - 6*w(l). Determine n(1). 8 Suppose -4*r - 4*k + 0*k - 4 = 0, -r = -2*k - 14. Suppose -n + r = -3. Let b(m) = 3*m + 9. Determine b(n). 30 Let u(x) be the second derivative of x**4/6 - 11*x**3/6 + 7*x**2 - 365*x. Calculate u(6). 20 Let z(i) be the second derivative of -i**3/2 - 2*i**2 - 4*i. Let l be z(-2). Let q(b) = -4*b - 1 + b**2 - b - 2*b**l + 0*b**2. What is q(-4)? 3 Let r(s) = 4*s - 14. Let h be r(4). Let u(v) = -h - 2 - 7*v + v + 12*v. Calculate u(4). 20 Let w(u) = u - 6. Let k(d) = 2*d + 55. Let f(g) = k(g) + 2*w(g). Determine f(-13). -9 Suppose -61*l = -72*l + 44. Let d(n) be the first derivative of 3*n - 2/3*n**3 + 4 + 1/4*n**l - 3/2*n**2. Determine d(2). -3 Suppose -27*v - 90 = -9*v. Let c(q) = 2*q**2 + 5*q - 3. Calculate c(v). 22 Let y be (-8)/10*(-25)/10. Let g(k) = 0*k**2 + 7*k - 2*k**y - 10*k. Give g(-3). -9 Let b(a) = -a**3 + a**2 - a - 7. Let z(p) = p**2 + 12*p + 11. Let f be z(-11). What is b(f)? -7 Let p(a) = a + 1. Let w(x) be the second derivative of -x**2/2 - 2*x. Let m(b) = p(b) - 2*w(b). Let i be ((-4)/4)/((-1)/(-6)). Calculate m(i). -3 Let z(q) = -2*q - 2. Suppose 2*l - 18 = 5*y, 2*y - 4*l = -2*y - 24. Let p = 0 - y. Let c be -7 + (1 - p)*-3. Give z(c). 6 Let l(x) be the first derivative of x**4/24 + 11*x**3/6 - 26*x**2 + 26. Let r(j) be the second derivative of l(j). What is r(-8)? 3 Let z(j) = j**3 - 4*j**2 + 3*j - 3. Let g(s) = s**2 - s + 1. Let l(y) = -4*g(y) - z(y). Let k = -2 + 3. What is l(k)? -1 Let o be ((-9)/27)/((-30)/(-27) + -1). Let j(x) = -11*x - 23. Let w(r) = -4*r - 8. Let k(t) = 3*j(t) - 8*w(t). Determine k(o). -2 Let y(d) be the third derivative of -d**4/24 - d**3/2 + d**2 + 54*d. Suppose 0 = -3*m + s + 6, -5*m - 5*s = -s - 27. Let n = -8 + m. Determine y(n). 2 Let j(c) = -16*c**3 - 42*c**2 - 11*c. Let t(w) = -3*w**3 - 8*w**2 - 2*w. Let g(d) = -2*j(d) + 11*t(d). Determine g(-4). 0 Let r(o) = -o**3 + 5*o**2 - 3*o - 2. Suppose -3*n + 12*n - 549 = 0. Let c = n + -57. Give r(c). 2 Let i(z) = -z**3 + z + 1. Let f be 2/(-2) + 4/(-8)*-2. Suppose -q - 3*r = 2*r + 11, f = -q + 5*r + 9. Determine i(q). 1 Suppose -3*o = -17 - 7. Let g be (-62)/(-8) - (-2)/o. Suppose -32 = -5*w + 2*q, -w = 3*q - g*q - 11. Let j(y) = y + 2. Give j(w). 8 Suppose 3*a + 178 - 177 = -2*z, -z = 3*a - 4. Let y(s) = -s**3 +
{ "pile_set_name": "DM Mathematics" }
- 2*j. Let c be u(-2). Let f be (1 - (-8)/(-9)) + (-21)/(-189)*-1. Calculate the remainder when 239 is divided by -18*c/36*(f - 3). 23 Let n(m) = -67*m - 170. Calculate the remainder when n(-8) is divided by 2. 0 Let v = -2045 + 2138. What is the remainder when v is divided by 76? 17 Suppose -36*c + 32*c = -2*d + 46, -60 = -5*d - c. Let t be 12/2 + 2/2. Let b(g) = -g**2 + 7*g + 5. Calculate the remainder when d is divided by b(t). 3 Suppose -99*h + 102*h = -2*v + 122, 5*v = -h + 71. What is the remainder when 168 is divided by h? 24 Suppose 0 = 548*b - 539*b - 2997. What is the remainder when b is divided by 329? 4 Let d(g) = -21*g**2 + 1524*g - 124. What is the remainder when d(72) is divided by 351? 38 Let g(b) = 4*b**3 + b**2 + b - 2. Let f be g(1). Suppose 442 = -f*v + 2562. What is the remainder when 172 is divided by (2/6)/(-1 + v/525)? 32 Let w(h) = -h**3 - 3*h**2 + 12*h + 33. Let s be w(-4). Suppose -2*x + 1 = -2*l - s, 3*l + 3*x = 21. Calculate the remainder when 9 is divided by l. 0 Suppose x - 44 = -3*d + 18, 5*d + 230 = 5*x. Suppose -5*a - 425 = 2*k, -2*k = -2*a - 52 - 104. Let t = a - -109. Calculate the remainder when x is divided by t. 24 Suppose 45*b - 292 = -67. Suppose -d + 18 = b*d. Suppose 14 = 4*r - 3*r + 2*l, -5*l + 15 = 0. Calculate the remainder when r is divided by d. 2 Suppose 2*r + 2*s - 418 = 0, 1051 = 5*r - 8*s + 10*s. What is the remainder when r is divided by 71? 69 Let z = -346 - -352. Suppose -z*g + 1395 = 9*g. Calculate the remainder when g is divided by 32. 29 Let x(z) = 2*z**2 - 4*z - 1. Suppose g + f - 352 = 0, 3*g = g - f + 708. Let l = 441 - g. What is the remainder when l is divided by x(5)? 27 Let v(t) = -120*t + 1731. What is the remainder when v(13) is divided by 159? 12 Suppose 5*z + 1020 = 7*z - 2*v, -v - 1022 = -2*z. What is the remainder when z is divided by 171? 170 Suppose -45*f = -51*f + 6630. Calculate the remainder when f is divided by 14. 13 Suppose -o = -4*c - 164, 5*c - 327 - 343 = -5*o. Calculate the remainder when 276 is divided by o. 136 Suppose -9*b + 273402 = 157*b. What is the remainder when b is divided by 19? 13 Let w = 56 - 32. What is the remainder when ((-16146)/(-345))/((-4)/(-10)) is divided by w? 21 Let q = 3501 - 3006. What is the remainder when q is divided by 127? 114 Let r(o) = -o**3 + 28*o**2 + 19*o - 12. Let p be r(27). Suppose 13*x = -17*x + p. Calculate the remainder when x is divided by 21. 20 Suppose 12*j - 579 = 9*j. Suppose -222 = -5*x + j. Let o = 9 + 3. Calculate the remainder when x is divided by o. 11 Calculate the remainder when 301653/4719 + 12/(-13) is divided by 63. 0 Suppose 0 = 5*z - 5*x + x - 19, -x = 4*z - 11. Suppose -5*y + 10 = z*n - y, 4 = y. What is the remainder when 21 is divided by (n + 5)*24/9? 5 Let q be 3 - (3 - 5 - -88). What is the remainder when 306 is divided by q/(-1) - (-13)/((-78)/36)? 75 Suppose -j + 351 = 4*f - 4*j, 5*f = -3*j + 405. Let d(a) = a**3 + 9*a**2 - 198*a - 123. Calculate the remainder when f is divided by d(-19). 26 Let r(z) = -2*z**2 - z - 3. Let t(c) = -9*c**2 + 13*c - 54. Let m(k) = -r(k) - t(k). What is the remainder when m(5) is divided by 87? 11 Suppose -6*r + 92 = 50. Suppose 2*h - 46 = 5*k - 3, -3*h - 4*k = -r. Suppose 53 - h = z. What is the remainder when z is divided by 15? 14 Suppose 4*v + 856 - 1785 = 1163. What is the remainder when v is divided by (1/2)/((-4)/(-704))? 83 Let h = -17 - -181. Suppose -2*q + n + 1179 = 0, 3*n - 443 = -q + h. Calculate the remainder when q is divided by 22. 20 Suppose 4*s - 7 - 21 = 0. Suppose -524 = -66*c + 70*c. Let j = -120 - c. What is the remainder when j is divided by s? 4 Suppose 5*p - 78 - 72 = -4*x, 3*p = 5*x + 53. Calculate the remainder when (-13 + 715/p)*(2 - 0) is divided by ((-16)/3)/(2/(-6)). 13 Suppose 33*j - 4*j = -32*j + 1891. What is the remainder when 154 is divided by j? 30 Let u = 18 + 9. Suppose -68*m - 644 = -61*m. Let d = 154 + m. What is the remainder when d is divided by u? 8 Calculate the remainder when 3384 is divided by (14 - (-297)/(-22))/((-3)/(-30)). 4 Suppose 10*d = 954 + 36. Calculate the remainder when d is divided by 2*(3 - 14/4*-3). 18 Let n(s) = 4*s**2 - 316*s + 247. Calculate the remainder when n(79) is divided by 65. 52 Suppose -x + 2*q + 5 - 3 = 0, 3*q - 41 = -4*x. Suppose 0 = -4*f + 30 + 22. What is the remainder when f is divided by x? 5 Calculate the remainder when (-10)/4 + 11221/14 + (-5 - -2) is divided by 134. 126 What is the remainder when 275 is divided by (-39)/(-143) + 28*(-114)/(-33)? 81 Calculate the remainder when 573 is divided by (85/10 + -8)*(5 + 565). 3 Calculate the remainder when 3/(-2)*(-7 - 4199/39) is divided by 27. 10 Let t(g) = -56*g + 146. Let v be t(6). Let m = v + 270. Suppose -19 = -q + 8. Calculate the remainder when m is divided by q. 26 Let h(p) = 0 + 7*p - 2*p + 8 - 17. Let s be h(2). What is the remainder when 121 is divided by (-7)/(-21)*93*s? 28 Let b = 257 + -40. Let a = -543 + 566. Let t = 21 + a. What is the remainder when b is divided by t? 41 Let w = -27 + 616. What is the remainder when w is divided by 85? 79 Suppose 0 = -2245*h + 2241*h + 168. What is the remainder when h is divided by 16? 10 Suppose -3*y - 10 = -43. Suppose 1459 = 69*r - 5803 - 3226. What is the remainder when r is divided by y? 9 Let t = -1225 + 1273. Calculate the remainder when 1052 is divided by t. 44 Let t(c) = 4*
{ "pile_set_name": "DM Mathematics" }
496858? 6998 What is the highest common divisor of 164048489 and 92? 23 What is the greatest common divisor of 5664618 and 8090? 1618 What is the greatest common factor of 911995 and 588945? 2485 What is the highest common divisor of 39 and 3216343? 13 What is the highest common divisor of 530775 and 21846025? 8425 What is the greatest common factor of 7343679 and 1071? 21 What is the greatest common factor of 1335960 and 169560? 1080 Calculate the highest common divisor of 22 and 332768. 2 What is the greatest common factor of 377569020 and 480? 60 Calculate the highest common factor of 233729 and 69859703. 6317 What is the highest common divisor of 1566826 and 14? 2 Calculate the highest common divisor of 48932 and 1404. 52 What is the greatest common divisor of 151 and 206634440? 151 What is the greatest common divisor of 50 and 127044440? 10 Calculate the highest common divisor of 3100 and 16336300. 100 Calculate the greatest common factor of 575190 and 1958418. 1386 What is the highest common divisor of 21931793 and 65? 13 What is the highest common divisor of 181096242 and 174? 174 Calculate the greatest common factor of 971673 and 28731. 471 Calculate the highest common factor of 70061661 and 217143. 9441 Calculate the highest common divisor of 86317652 and 7364. 1052 Calculate the greatest common divisor of 1611 and 19090171. 179 Calculate the highest common factor of 86636564 and 42. 14 Calculate the highest common factor of 5149646 and 11020. 1102 Calculate the greatest common factor of 174432892 and 268. 268 Calculate the greatest common divisor of 100 and 24591100. 100 What is the greatest common divisor of 61200 and 10950? 150 Calculate the greatest common divisor of 129444815 and 2491. 2491 What is the greatest common factor of 1932 and 358113? 21 What is the greatest common factor of 642000 and 126960? 240 Calculate the greatest common factor of 7130 and 228974959. 713 What is the highest common factor of 8376 and 2482248? 24 What is the highest common factor of 54292 and 3776064? 1108 What is the highest common divisor of 937011 and 381999? 1713 What is the greatest common factor of 25 and 10985675? 25 Calculate the greatest common divisor of 87472504 and 55286. 5026 What is the greatest common divisor of 476 and 10389244? 68 Calculate the greatest common divisor of 8383208 and 1216. 8 What is the highest common factor of 9005090 and 700? 10 What is the highest common factor of 22880 and 23518? 22 Calculate the greatest common factor of 1843199 and 94. 47 What is the highest common factor of 16040808 and 8064? 504 What is the greatest common divisor of 222795 and 315? 45 Calculate the highest common divisor of 320 and 14732864. 64 What is the highest common divisor of 171 and 3082428? 9 What is the highest common divisor of 295539 and 10209189? 3741 What is the greatest common factor of 92 and 16494404? 92 What is the highest common factor of 188 and 95415875? 47 Calculate the highest common divisor of 30 and 131830575. 15 What is the highest common divisor of 100288 and 60780796? 6268 What is the greatest common divisor of 1440 and 4315230? 90 Calculate the greatest common divisor of 3366 and 2625642. 18 Calculate the highest common factor of 1856797 and 3817. 347 Calculate the greatest common divisor of 2524615 and 98113. 2393 Calculate the highest common divisor of 108 and 19989284. 4 Calculate the greatest common divisor of 5132270925 and 555. 555 What is the highest common factor of 149784 and 6577224? 1896 What is the greatest common factor of 1751471 and 195839? 277 Calculate the highest common divisor of 55599 and 5418. 129 Calculate the highest common factor of 6349 and 198633. 907 Calculate the highest common divisor of 228480 and 2084096. 896 What is the highest common factor of 1599295 and 172155? 2495 What is the highest common factor of 139653792 and 783? 261 What is the highest common divisor of 248 and 8983180? 124 What is the greatest common factor of 46188 and 86688? 36 Calculate the greatest common divisor of 62976 and 141824. 512 Calculate the greatest common factor of 985948 and 836. 76 Calculate the highest common divisor of 5957 and 883967. 259 Calculate the highest common factor of 13573958 and 412. 206 What is the greatest common divisor of 7620 and 20366160? 60 Calculate the highest common divisor of 180730 and 38610. 110 What is the highest common factor of 79709979 and 987? 141 Calculate the greatest common factor of 678128 and 16544. 176 Calculate the greatest common divisor of 286656 and 1200. 48 Calculate the greatest common divisor of 2062 and 34511694. 2062 Calculate the greatest common divisor of 727738165 and 31780. 7945 What is the greatest common divisor of 200732715 and 135? 135 Calculate the highest common factor of 71095 and 1440. 5 What is the highest common divisor of 216 and 122310960? 24 Calculate the highest common divisor of 18512 and 23645520. 1424 Calculate the highest common divisor of 9177 and 3665487. 483 Calculate the highest common factor of 5430935 and 97605. 1205 Calculate the highest common divisor of 238514685 and 15. 15 Calculate the greatest common factor of 85749812 and 304. 76 Calculate the highest common factor of 2621 and 33682471. 2621 Calculate the highest common divisor of 135568 and 38554. 74 What is the greatest common divisor of 66176 and 62612? 44 What is the highest common divisor of 2638268 and 2214? 82 Calculate the highest common factor of 18 and 49593798. 18 What is the greatest common factor of 1033018 and 112? 14 Calculate the highest common factor of 88340784 and 168. 168 What is the greatest common factor of 21 and 6790917735? 21 Calculate the greatest common divisor of 140314506 and 570. 114 Calculate the highest common factor of 20926307 and 122432. 1913 Calculate the greatest common factor of 3040 and 3504360. 760 What is the greatest common divisor of 194810 and 1316? 14 What is the greatest common factor of 1996064 and 285? 19 What is the greatest common factor of 187 and 6573696? 17 What is the highest common factor of 824222 and 2263842? 1582 Calculate the highest common divisor of 78240331 and 13. 13 Calculate the greatest common divisor of 4032 and 483896. 56 What is the greatest common divisor of 6 and 2236238? 2 Calculate the highest common factor of 1 and 7987271. 1 Calculate the highest common factor of 432150335 and 575. 115 What is the greatest common divisor of 15943 and 29853? 107 What is the highest common divisor of 333425149 and 1903? 173 Calculate the highest common factor of 108662554 and 572. 286 Calculate the highest common divisor of 212750 and 97175. 575 What is the highest common divisor of 1898 and 386191? 13 What is the highest common factor of 68789 and 23591? 31 Calculate the greatest common factor of 515780 and 24395. 3485 Calculate the greatest common divisor of 27246 and 1487058. 1434 What is the highest common factor of 2081791 and 1076? 269 What is the greatest common factor of 229100 and 3700? 100 What is the greatest common factor of 576938 and 2074? 122 What is the highest common factor of 10752 and 758028? 12 What is the greatest common divisor of 51720 and 125128? 8 What is the highest common divisor of 333702 and 22104? 18 What is the greatest common factor of 8930 and 555521012? 1786 What is the greatest common divisor of 102 and 972978? 102 Calculate the greatest common factor of 1328277 and 3198. 123 Calculate the greatest common factor of 23353572 and 88. 44 Calculate the greatest common divisor of 136929898 and 47866. 3682 Calculate
{ "pile_set_name": "DM Mathematics" }
4*k**3/3 - 25*k**2. Let l(v) = v - 1. Give -10*l(r) - t(r). -2*r + 2 Let u(j) = -2*j**3 - 6*j**2 - 4*j - 2. Let x(p) = -5 + p**3 + 3*p**3 - 13*p**2 - 9*p - 9*p**3. Give 9*u(y) - 4*x(y). 2*y**3 - 2*y**2 + 2 Let a(z) = -10*z + 20. Let p(u) = 3*u - 7. Calculate -5*a(q) - 14*p(q). 8*q - 2 Let r(l) = 2. Let v(f) be the first derivative of f**2/2 - 7*f - 2. Let u(c) = -c**2 - 13*c - 32. Let m be u(-10). What is m*v(i) - 7*r(i)? -2*i Let t(d) = -6*d**3 - 5*d + 3. Let r(c) = 3*c**3 + 3*c - 2. Let x be (-12)/(-16)*(-11 - -3). Let q be ((-10)/(-6))/(x/18). Give q*r(s) - 3*t(s). 3*s**3 + 1 Let a(k) be the first derivative of k**3 + k**2/2 - 2*k + 24. Let i(x) = 1. What is -a(n) - 4*i(n)? -3*n**2 - n - 2 Let x(r) = -15*r**3 + 13*r**2 + 11. Let u(f) = -8*f**3 + 7*f**2 + 6. Let g be 1 + (40/(-6))/(24/(-36)). Give g*u(y) - 6*x(y). 2*y**3 - y**2 Let w(i) = 15*i**2 - 13*i + 29. Let x(u) = -7*u**2 + 6*u - 15. Determine -6*w(c) - 13*x(c). c**2 + 21 Let l(r) = 0 - 3 + 3 + r - 1. Let v(m) = -m - 7. Let j be v(-5). Let w be -2*(-4 - -1 - j). Let y(k) = -12*k + 10. What is w*y(s) + 22*l(s)? -2*s - 2 Let w = 3 - 3. Suppose w = 4*m + 4. Let o(a) = 1 + a**2 + a**2 + 0*a - 3*a**2 + a. Let j(v) = -10*v**2 + 8*v + 8. What is m*j(p) + 8*o(p)? 2*p**2 Let v(d) = -22*d - 14. Let b(s) = -15*s - 9. Determine -8*b(n) + 5*v(n). 10*n + 2 Let d(c) = -15*c**2 - 3 + 2*c - 11*c**2 + 21*c**2. Let u(y) be the third derivative of 7*y**5/30 - 5*y**4/24 + 4*y**3/3 + y**2. Determine 8*d(f) + 3*u(f). 2*f**2 + f Let n(z) = -1. Let t be ((-9)/18)/(2/(-4)). Let j(o) = -o - 2. What is t*j(a) - 3*n(a)? -a + 1 Let u(s) = -3*s**2 - 2*s. Let q(k) = 4*k**2 + 2*k + 1. What is -4*q(z) - 5*u(z)? -z**2 + 2*z - 4 Suppose -3*k + 27 = -6*k. Let z be k/2 - 2/4. Let b(p) = -5*p + 18. Let s(t) = -t + 3. Let a(c) = b(c) - 6*s(c). Let v(g) = 3*g. Calculate z*a(h) + 2*v(h). h Suppose 2*w = -q + 3, 3*q + 1 = -q + 5*w. Let s(x) = 1. Let a(h) = -h - 2. What is q*a(z) + 2*s(z)? -z Let p = 3 - -8. Let l(a) = -p + 6*a + 2*a + a. Let r(i) = -5*i + 6. Determine -4*l(s) - 7*r(s). -s + 2 Let p(f) = -3*f**3 + 5*f**2 + 2*f - 7. Let z = -15 - -1. Let n(j) = -8*j**3 + 14*j**2 + 6*j - 20. Let o(r) = -r - 3. Let i be o(-8). Give i*n(b) + z*p(b). 2*b**3 + 2*b - 2 Let p(b) = b**2 - 1. Let n(r) = -23*r**2 + 6. What is -n(y) - 6*p(y)? 17*y**2 Let z(m) = 7*m - 1. Let b(i) = 8*i - 1. Let v(n) = 3*b(n) - 4*z(n). Suppose f = -f - 3*u - 19, u - 3 = 4*f. Let l(s) = -9*s + 2. What is f*l(a) + 5*v(a)? -2*a + 1 Let n(l) = -5*l**3 + 6*l + 6. Let p(x) be the second derivative of x**5/20 - x**3/6 - x**2/2 - 13*x. Determine n(f) + 6*p(f). f**3 Let b(d) = -2*d**2 - 4*d - 2. Let p(k) be the third derivative of -k**4/24 + 15*k**2. Let v(m) = m**2 + 3*m + 3. Let l be v(-2). Give l*b(a) - 6*p(a). -2*a**2 + 2*a - 2 Let j(z) = -4*z**2 - 5. Let r(g) = -2*g**2 - 3. Let m(n) = -n**2 + 5*n**2 - 5 + 8*n + 0 - 5*n**2. Let y be m(8). Give y*r(l) + 3*j(l). -2*l**2 Let t(h) = 148*h - 17. Let l(a) = 49*a - 6. Determine -17*l(s) + 6*t(s). 55*s Let t(l) = 3*l - 5. Let p(u) = 15*u - 26. Calculate 2*p(w) - 11*t(w). -3*w + 3 Let p(r) = -r**2 - 3*r - 3. Let g(j) = -165 + 167 + j + 2*j**2 + j - j**2. Determine -5*g(v) - 3*p(v). -2*v**2 - v - 1 Let t(l) = 14*l - 22. Let g(s) = -2*s + 3. Suppose 11*r + 54 = 2*r. What is r*t(v) - 44*g(v)? 4*v Let b be (-9 - (0 + -1)) + 3. Let c(f) = -f**3 - 2*f**2 - 3*f - 3. Suppose -3 = d - 8. Let t(v) = 3*v + 0*v + 3*v**2 + v**3 + 2*v + d. What is b*c(k) - 3*t(k)? 2*k**3 + k**2 Let n(p) = 4*p**3 - 9*p**2 + 9*p. Let s(m) = -3*m**3 - 4*m. Let w(t) = -13*t**
{ "pile_set_name": "DM Mathematics" }
d**5 = 0. What is d? 1, 2 Let s(w) = -2*w**2 - 8*w + 2. Let t(j) = -j**2 - 3*j + 1. Let f(v) = -3*s(v) + 8*t(v). Find x, given that f(x) = 0. -1, 1 Let o(b) be the second derivative of -b**7/1680 - b**6/720 + b**5/240 + b**4/48 - b**3/2 - 3*b. Let r(u) be the second derivative of o(u). Solve r(f) = 0. -1, 1 Let v(x) be the third derivative of 0 + 9*x**2 + 0*x**6 + 0*x**3 + 0*x**5 - 1/280*x**7 + 0*x + 0*x**4. Factor v(c). -3*c**4/4 Let b(l) = -l**5 - l**4 + l**3 + l. Let g(s) = 4*s**5 + 16*s**4 - 8*s**3 - 8*s**2 - 4*s. Let x(m) = -8*b(m) - g(m). Let x(n) = 0. What is n? -1, 0, 1 Let -3*c**2 - 4*c**4 + 6*c**3 + 0*c**2 - c**2 + 2*c**4 = 0. Calculate c. 0, 1, 2 Find a, given that -6/13*a**2 - 4/13*a + 0 + 14/13*a**4 + 6/13*a**3 + 6/13*a**5 = 0. -1, 0, 2/3 Let d(p) = -4*p - 2 - 8 + 2*p. Let x be d(-6). Factor 0 + 0*a + 4/3*a**x - 16/3*a**3 + 7/3*a**4. a**2*(a - 2)*(7*a - 2)/3 Let f(w) be the second derivative of 25*w**7/168 + 7*w**6/12 + 69*w**5/80 + 7*w**4/12 + w**3/6 + 9*w. Factor f(b). b*(b + 1)**2*(5*b + 2)**2/4 Solve 1/5*q**3 - 1/5 + 1/5*q**2 - 1/5*q = 0. -1, 1 Let p(r) be the second derivative of -r**7/42 + r**6/10 - r**5/10 - r**4/6 + r**3/2 - r**2/2 - 12*r. Factor p(g). -(g - 1)**4*(g + 1) Let i be (10 - 1) + (-1 - 1). Factor 1 + 0*f + 0*f + 15*f**2 - 3*f - i - 6*f**3. -3*(f - 2)*(f - 1)*(2*f + 1) Let f(u) = 3*u**2 - 17*u + 14. Let a(c) = 2*c**2 - 11*c + 9. Let z(i) = -7*a(i) + 5*f(i). Let s be z(7). Suppose 0*t**2 + s - 2/7*t**3 + 2/7*t = 0. What is t? -1, 0, 1 Let b = 35 + -20. Suppose y = -4*y + b. Suppose -t**y - 1/4*t**4 - 3/2*t**2 - t - 1/4 = 0. Calculate t. -1 Let u(s) be the first derivative of 4/9*s + 8 + 2/27*s**3 - 1/3*s**2. Let u(k) = 0. Calculate k. 1, 2 Let h(k) be the second derivative of 2*k - 1/6*k**2 + 0*k**4 + 1/9*k**3 + 0 + 1/90*k**6 - 1/30*k**5. Factor h(j). (j - 1)**3*(j + 1)/3 Let o(a) = -a**5 - 4*a**4 + 7*a**3 - 7*a**2 + 4*a + 1. Let m(v) = -v**4 + v**3 - v**2 + v. Let d(u) = -5*m(u) + o(u). Determine n so that d(n) = 0. -1, 1 Let z = 1078 - 1076. Factor -312/5*v + 16/5 - 4394/5*v**3 + 2028/5*v**z. -2*(13*v - 2)**3/5 Let z = 9 - 14. Let r = 8 + z. Factor 4 - r*y**2 - 4 + 3*y. -3*y*(y - 1) Let i(h) be the first derivative of 2*h**3/51 + 5*h**2/17 - 12*h/17 - 8. Factor i(f). 2*(f - 1)*(f + 6)/17 Let y be (3 + -3)*1/2. Solve 0*d**2 + y - 2/5*d**3 + 2/5*d = 0 for d. -1, 0, 1 What is b in -1/4*b + 0 + 1/4*b**2 = 0? 0, 1 Factor 22*o**2 + 3 - 34*o**2 + 13*o**2 + 4*o. (o + 1)*(o + 3) Let v(c) be the second derivative of 0 - 2/33*c**3 + 3*c + 0*c**2 + 1/66*c**4. Find n such that v(n) = 0. 0, 2 Let h(o) be the first derivative of 0*o - 1/2*o**2 + 0*o**3 + 1/72*o**4 - 1/180*o**5 + 3. Let a(g) be the second derivative of h(g). Solve a(p) = 0 for p. 0, 1 Factor -6*i**2 - 36*i - 72 - 1/3*i**3. -(i + 6)**3/3 Let t = 205 + -203. Let p(h) be the first derivative of 0*h - 2*h**t - 4 + 2/3*h**3. Solve p(j) = 0 for j. 0, 2 Let p(h) be the first derivative of -h**6/39 - 2*h**5/65 + h**4/26 + 2*h**3/39 + 21. Suppose p(b) = 0. What is b? -1, 0, 1 Suppose 51 = 30*r - 13*r. Solve -2*y**4 + 0 + 0*y + 10/3*y**5 - 4/3*y**r + 0*y**2 = 0. -2/5, 0, 1 Let p(q) = 6 - 9 + 12*q - 6 - q**2. Let x be p(11). Factor 0*n - 18*n + n**x + 0 + 2*n**2 + 27. 3*(n - 3)**2 Solve -6*s**2 - 32*s - 2*s**3 + 4*s**3 + 14*s**2 + 2*s**3 = 0. -4, 0, 2 Let u(h) be the third derivative of 2/45*h**5 + 0 - 1/18*h**4 + 1/90*h**6 + 5*h**2 + 0*h - 4/9*h**3. Factor u(y). 4*(y - 1)*(y + 1)*(y + 2)/3 Let x(k) = k**2 - 1. Let y(w) = -99*w**2 - 108*w + 80. Let a(c) = 66*c**2 + 72*c - 53. Let r(g) = -8*a(g) - 5*y(g). Let h(p) = -r(p) - 12*x(p). Factor h(z). 3*(z + 2)*(7*z - 2) Let g = -37 - -40. Let -8/3*d**g - 2/3 + 2/3*d**2 + 8/3*d = 0. What is d? -1, 1/4, 1 Let
{ "pile_set_name": "DM Mathematics" }
se Is 2 greater than or equal to 5079/2023? False Which is greater: -646 or -35.838? -35.838 Which is smaller: 1584991 or 1584982? 1584982 Is -436/626103 smaller than 1? True Is 9.32778 less than -1/81? False Which is bigger: -1 or -1352/540041? -1352/540041 Do -0.1 and -584/17621 have the same value? False Which is greater: -5460 or -1774254/325? -1774254/325 Is -45/521582 equal to -1? False Is -105 less than 1028933? True Which is smaller: 1 or -485/48222? -485/48222 Are -105396/3905 and -26 equal? False Are 145674912 and 145674912 equal? True Which is bigger: -4/8564337 or -1? -4/8564337 Which is smaller: -1286370 or -1286368? -1286370 Is 1256904 smaller than 1256808? False Which is smaller: -38/7218779 or -1? -1 Which is smaller: -67 or -809703? -809703 Which is smaller: 1 or -4/1184917019? -4/1184917019 Which is smaller: -235/8 or 229075? -235/8 Is -0.02523 != -3/91? True Is -3757374 greater than or equal to -3757363? False Is -324653502 >= -324653503? True Is -1/4 equal to -142668.971? False Is -3876 < -3075? True Is -2004379 at most as big as -35? True Which is bigger: 1 or 3/10854742? 1 Which is greater: 60124 or -11? 60124 Which is smaller: -270 or -1112? -1112 Which is bigger: -751091 or -751199? -751091 Which is greater: 16/47987199 or 0? 16/47987199 Which is smaller: 779312 or 779324? 779312 Which is smaller: -165482 or -167124? -167124 Is 57283699 at least 286418502/5? False Which is smaller: 9.46039 or -3? -3 Which is smaller: -22564210/69 or -327019? -327019 Are -34/5 and -14485.7 equal? False Which is smaller: 186 or -1916299? -1916299 Are -13991229 and -13991231 non-equal? True Is 2/83595337 at least 0? True Which is smaller: 1/22040854 or 0? 0 Are 144040 and 144036 non-equal? True Are 53831680 and -4 unequal? True Which is smaller: -12632 or -442142/35? -442142/35 Which is smaller: 16711715/7 or 2387387? 2387387 Which is smaller: 77966 or 77988? 77966 Are 13542 and 812573/60 unequal? True Which is smaller: -276452 or -9675786/35? -276452 Is -32744431 >= -32744425? False Which is bigger: -1 or 2/628083309? 2/628083309 Is 1 less than or equal to -10/46890151? False Is 4494765 greater than or equal to 4494762? True Which is greater: 58393 or 58391? 58393 Is -411754607 bigger than -411754606? False Which is bigger: 17716465 or -0.1? 17716465 Is -7 greater than or equal to -4936/655? True Does 168484091 = 168484091? True Which is greater: -999830 or -999835? -999830 Is 1 bigger than 210/1741169? True Is 229002 > 229557? False Is -16955174 > -16955184? True Which is bigger: 25/8 or 353/814? 25/8 Which is greater: 389157 or -17/6? 389157 Which is greater: 32815 or 3815? 32815 Which is smaller: 1 or -1/2389339? -1/2389339 Which is bigger: -8 or 4631289? 4631289 Which is bigger: 0.4 or 134385.8? 134385.8 Which is smaller: 4867941/46 or 105826? 4867941/46 Which is smaller: 257 or 0.1445718? 0.1445718 Which is smaller: 1127206 or 1127282? 1127206 Which is smaller: 2/5 or 492/7289? 492/7289 Which is smaller: 56 or -2/257129? -2/257129 Which is smaller: -1/2 or 63.959652? -1/2 Which is smaller: -7/778048 or 0? -7/778048 Which is smaller: 1724139 or 1724141? 1724139 Which is smaller: -1 or 2/38217019? -1 Is -21870 smaller than -23390? False Is -23343482 at least -23343483? True Which is smaller: 117/14 or -3858? -3858 Which is smaller: -173821286 or -173821287? -173821287 Which is greater: -11771.023 or 8? 8 Is 22012348 > 3? True Which is smaller: -11524 or -11366? -11524 Does 519/121813 = 1? False Which is greater: 65005872 or 65005876? 65005876 Which is smaller: 26960 or 33? 33 Which is greater: 0 or 24/10012543? 24/10012543 Which is greater: -575068 or -575052? -575052 Do 191889577 and -6/5 have different values? True Which is smaller: -2/3147553303 or -1? -1 Is -8 not equal to -0.021377? True Is -24 at least -18201/772? False Which is smaller: 67/755341 or -1? -1 Which is smaller: 1457 or 449019/308? 1457 Is 2/5 at least as big as -103640529? True Which is bigger: -1822407 or -1822405? -1822405 Is -1457432 less than -22? True Which is greater: 4372733 or 4372748? 4372748 Which is smaller: 536733/76 or 7061? 7061 Are 498807 and -12 equal? False Is 12290328 >= 12290327? True Is 1 equal to -1430/3811? False Does 140902 = 321? False Which is bigger: -6/1787635 or -1? -6/1787635 Which is smaller: 1 or 8312/1229? 1 Which is bigger: 12636545 or 37909639/3? 37909639/3 Is 51912/3917 <= 14? True Are -0.105859581 and 3 unequal? True Is -16680 < -1810.3? True Is 142.94 smaller than 786? True Which is smaller: 5213102/5 or 1042620? 1042620 Are -133 and 93707 unequal? True Is 1/24787890 smaller than -1? False Is -67392 equal to -68373? False Which is greater: 40208 or 39281? 40208 Is -84608 < -83222? True Which is bigger: -2809949 or -1/14? -1/14 Is 0.202 > -89758? True Is 2/5 bigger than 554467.552? False Is 0 at most 3398/100415? True Which is bigger: -45938 or -45160? -45160 Is -42887663 >= -42887658? False Which is bigger: -227 or -113137/497? -227 Which is greater: -1/835419771 or -1? -1/
{ "pile_set_name": "DM Mathematics" }
uct of 5 and -81.6. -408 What is the product of 0 and -10.8? 0 -4292 * -0.3 1287.6 What is the product of 1.05 and 1? 1.05 Multiply -671 and -0.07. 46.97 0.3*-1.24 -0.372 Product of -92 and -5. 460 Calculate 0.2*857. 171.4 What is the product of 0.4 and 0.6? 0.24 -5 * -124 620 What is -1 times 21? -21 What is the product of 3 and -79? -237 11.99*3 35.97 Product of 486 and -0.09. -43.74 Product of 3 and 26. 78 50.8*-0.38 -19.304 -4 * -42 168 Product of 0.0648 and 0.2. 0.01296 Multiply 75 and -0.57. -42.75 0.04*-0.18 -0.0072 Multiply -0.04 and 25. -1 -0.2 times 3115 -623 What is 0.5 times -669? -334.5 Product of 4 and 8. 32 9.416*-0.4 -3.7664 Product of 418 and -0.3. -125.4 Product of -0.11 and -9.1. 1.001 Work out -127 * -3. 381 Calculate 16*-5.2. -83.2 What is the product of 0 and 679? 0 What is the product of -3203 and 0.1? -320.3 -179.4 times -0.8 143.52 What is -8.47 times 5? -42.35 What is the product of -4 and -0.1067? 0.4268 31 times 0 0 Work out -67.9 * 0.02. -1.358 Calculate 0.33*-0.19. -0.0627 Product of -0.273 and -35. 9.555 What is the product of 11 and -1.3? -14.3 Work out -0.24 * 5. -1.2 What is the product of -0.3 and -18? 5.4 Calculate 1*0.33. 0.33 Work out -32 * 5. -160 Product of -0.6 and -63. 37.8 Product of -269 and 0.1. -26.9 0.8 * -119 -95.2 0.2 * -83 -16.6 Work out -16 * 2. -32 Work out 0.3 * -12. -3.6 Work out -0.4 * -431. 172.4 Work out -25.413 * -5. 127.065 Calculate -2*-24. 48 Calculate 517*0.05. 25.85 What is the product of -645 and 0? 0 Work out 0.063 * -0.4. -0.0252 1439 * -1 -1439 Multiply 2.94 and -0.1. -0.294 What is the product of -0.3 and -0.067? 0.0201 -0.0875 * -0.06 0.00525 0.116 * 5 0.58 152 times 2 304 4 times 5117 20468 -1283*0.1 -128.3 What is the product of 1.5 and 0.0189? 0.02835 Multiply 0.43 and -0.06. -0.0258 Product of -5.038 and 0.3. -1.5114 Product of 0.0836 and -4. -0.3344 Product of -13 and 0.054. -0.702 Product of 0.066 and 29. 1.914 Multiply -648 and -0.01. 6.48 Work out -0.029 * 7. -0.203 Product of 0.05 and -0.3. -0.015 5 * -888 -4440 0.1*374 37.4 0.044 * 6 0.264 319*-0.03 -9.57 What is the product of 0.00398 and 0.5? 0.00199 Product of 3 and 1.79. 5.37 Multiply -2 and 2. -4 What is the product of -3 and -206? 618 Product of -0.4 and 0.122. -0.0488 Product of 2 and 4.5. 9 Multiply 1171 and 1. 1171 -1320*-5 6600 Multiply -1 and -3207. 3207 What is 63 times -0.5? -31.5 What is 2779 times -0.3? -833.7 5 * -0.03183 -0.15915 Multiply -36 and 0.3. -10.8 Product of 0.041499 and -5. -0.207495 Product of 15 and 81. 1215 Multiply -0.5 and -0.0462. 0.0231 0.03 * 1050 31.5 Calculate -11*-173. 1903 What is -0.04 times -0.367? 0.01468 What is the product of 288 and 0.1? 28.8 -0.3*-0.39 0.117 Work out -1 * -141. 141 What is 0.9 times -2.9? -2.61 Calculate 182*1.9. 345.8 3*2771 8313 4 times -0.077 -0.308 What is the product of -5845 and -0.2? 1169 What is 3 times -20? -60 What is the product of -0.011 and 0.8? -0.0088 What is -1.7 times 2? -3.4 -23226*-1 23226 What is 0 times -278? 0 Work out 371 * -4. -1484 What is the product of -72 and 10.5? -756 579 times -4 -2316 Work out 0.1223 * 5. 0.6115 What is 172 times -0.07? -12.04 Product of -0.29 and 0.5. -0.145 -0.058 * 0.1 -0.0058 What is -0.178 times 0.9? -0.1602 0.4 * 0.74 0.296 -4.45 * 0.05 -0.2225 Calculate -0.06*0.4. -0.024 Multiply -17 and -135. 2295 Work out 9.8 * 7.9. 77.42 Calculate -0.3*917. -275.1 Calculate 0.08*-0.016. -0.00128 1.41 times 0.5 0.705 0.2*-17 -3.4 Multiply -0.2 and -2.357. 0.4714 144 times 2 288 What is 263 times 3? 789 Product of 0.13 and 213. 27.69 Product of 2.4 and -0.06. -0.144 7.19 times -5 -35.95 Product of 328 and -5. -1640 What is -3.016 times 5? -15.08 -14.13 times -13 183.69 What is -0.71 times 2? -1.42 What is 2.5 times 0.5? 1.25 What is -34 times 6? -204 3 * 0.037 0.111 Calculate 549*-4. -2196 Calculate -0.0361*3.3. -0.11913 -0.61*-1.52 0.9272 0.8 times -0.001 -0.0008 0.2*179 35.8 Work out 0.0591 * -0.5. -0.02955 What is 327 times 0.021? 6.867 What is the product of -0.8 and 27? -21.6 Calculate 0.446*-0.4. -0.1784 What is -112 times -4? 448 Work out -1.82 * -7. 12.74 What is the product of -51082 and 0?
{ "pile_set_name": "DM Mathematics" }
2532. Find the common denominator of -13/12 and k. 12 Let z be (-455)/15 + (-2)/(-6). Let s be (-4)/10 - 1782/z. Suppose s + 31 = 5*i. What is the least common multiple of 4 and i? 36 Suppose -28 = -2*a + 4*q, 3*q = -5*a - q + 126. Calculate the least common multiple of 8 and a. 88 Let m = 12708 - 457625/36. Calculate the common denominator of -95/12 and m. 36 Let m = 1 - -2. Let i = -63 + 45. Calculate the least common multiple of m/(-12) - i/8 and 2. 2 Let u(b) = b**3 - 3*b**2 + 8. What is the smallest common multiple of u(3) and 48? 48 Let c(v) = v**2 - 9*v + 1. Let g be c(10). Suppose 0 = 3*q - 4*i, 3*q + g = 5*q + i. What is the least common multiple of 3 and q? 12 Let q = -11 + 47. Calculate the least common multiple of q and 14. 252 Let w = -2/6669 + 4012/28203201. Let f = 469439/126870 + w. Calculate the common denominator of (-1)/2 + (-882)/54 and f. 30 Calculate the common denominator of -83/10 and (-586)/(-180) + 0 + 0 + -2. 90 Let h be -5 - (-9)/(9/2). Find the common denominator of 6/7 and 51/27 + h + 5. 63 What is the lowest common multiple of 13 - (-1 + 1 + 1)*3 and 12? 60 Suppose 11 = 3*b - 7. Suppose -v + 40 = 4*v. What is the smallest common multiple of b and v? 24 Let i be -2 - -4 - (-1 + 0). Suppose 2*q = -i*q + 50. Calculate the smallest common multiple of 10 and q. 10 Suppose f + 3*p = 9, 7*p = 5*f + 2*p - 65. Calculate the least common multiple of 16 and ((-9)/f)/((-6)/16). 16 Let w = -57/52 - -1871/260. Let h = 3867/4 - 973. Find the common denominator of h and w. 20 Let b = -5659/7 + 807. Calculate the common denominator of -17/2 and b. 14 Suppose 0*a = 3*a + 9. Let q = 15 - a. Suppose j = -w + 23, 34*w + 26 = 35*w + 4*j. What is the least common multiple of w and q? 198 Let v be 8/3*6/(-4). Calculate the lowest common multiple of 16 and 2 + -2 + v - -16. 48 Suppose -8*w = -6*w - 40. What is the least common multiple of w and 4? 20 Suppose 0 = -4*j - 3*u + 163, 3*u - 8 = -2*j + 75. Suppose s = -4*s + 10. Calculate the smallest common multiple of ((-2)/5)/((-8)/j) and s. 2 Let c = 1714 + -11962/7. Let o be 1 - (1 - (-82)/45). Let f = 2/495 + o. Find the common denominator of f and c. 77 Let j(p) = -p**2 - 10*p - 14. What is the smallest common multiple of 12 and j(-6)? 60 Find the common denominator of (-10)/28*(-1 - -2) and -8/5. 70 Suppose -5*j - 4*o - 1254 = 0, j + 251 = -0*j - o. Calculate the least common multiple of 8 and j/(-15) - (-6)/(-9). 16 Let z(n) = -n**2 + 9*n - 9. Let a be z(7). Let d be 2/(-2)*(a - 3). What is the common denominator of (-3 - d)*(-19)/(-3) and -43/3? 3 Find the common denominator of -31/8 and 1/(285/93 + -3). 8 Let s = -4632824/10655 - -6/2131. Let w = -433 - s. Let g = 2297 - 13855/6. Calculate the common denominator of g and w. 30 Let x = -3 + 5. Suppose 0 = -0*r - 3*r + 27. Calculate the least common multiple of r and (-1 + x + 0)*1. 9 Find the common denominator of (-2)/4 - 46*(-8)/(-64) and 31/7. 28 What is the lowest common multiple of (6 + (3 - 29))*(-4)/8 and (-12)/10*(-80)/6? 80 Let y = 18 - 143/5. What is the common denominator of 73/4 and y? 20 Calculate the lowest common multiple of 6 + -2 + (-8)/(-2) and 12. 24 Let g(r) = -2*r - 1. Let c be g(8). Let y = c - -28. Calculate the least common multiple of y and 10. 110 Suppose 28 = -3*y + 55. Calculate the lowest common multiple of y and 29. 261 Let o be (2 + -2)/((-2)/(-1)). Suppose 0 = -o*m - 3*m + 24. What is the smallest common multiple of m and 8? 8 Calculate the least common multiple of 12/21*(-3 - (-2 - 8)) and 2/4 - 6/(-4). 4 Let j = 6341/8 + -795. Let u = -100/27 - 1727/270. What is the common denominator of u and j? 40 Let b be 4/6 + (-506192)/(-24). Let d = b - 464103/22. Let x = 8/499 - -12411/3992. Find the common denominator of x and d. 88 Suppose 73 = b + 5*p - 55, 0 = -3*b - 5*p + 364. Suppose n = 5*n + 8. Find the common denominator of 55/4 and b/(-28) + n/1. 28 Let f(r) = -r + 10*r**2 - 3*r + 6*r - 4*r**2. Calculate the lowest common multiple of f(-2) and 20. 20 Suppose -5*u = -4*y - 62, -3*u + 18 = -3*y - 21. What is the least common multiple of u and 56? 280 Let p(g) = g - 3. Let w be p(6). Suppose 2*q = -w*q + 25. Suppose -24 + 9 = -q*c. What is the least common multiple of 3 and c? 3 Suppose -6*f + 3*f = 3*d - 102, 0 = 5*f - 5*d - 130. What is the least common multiple of 9 and f? 90 Suppose -2*v + 3*m + 1 = 0, -2*v - 5*m + 41 = -0*m. Calculate the common denominator of -53/18 and (3/v)/((-56)/1184). 126 Let y = 10 - 4. Calculate the lowest common multiple of ((-33)/12)/((-1)/4) and y. 66 Calculate the smallest common multiple of (-6)/(-4) - (-148)/8 and 22. 220 Let d be 418052/966*78/(-3880). Let l = -1/15617 + d. Let q = 2/5629 - -298305/90064. What is the common denominator of q and l? 80 Let s = -14 + 2. What is the common denominator of 97/20 and (-51)/s - 18/24? 20 Suppose 2*n - 4*f = -38, -n + 4*f - 25 = -f. Let c = -13 - n. Let j(m) = -7*m - 6. Calculate the least common multiple of c and j(-4). 22 Suppose 0 = -a - 10*n + 40, -4*a - 3*n + 66 = -a. Let q = -5 - -9. Calculate the least common multiple of a and q. 20 Suppose 0 = -0*c - 2*c + 16. Let i(z) = -2*z - 7. What is the lowest common multiple of c and i(-5)? 24 Let r = 20 + 0. What is the least common multiple of r and 44? 220 Let v = -11 - -4. Let p = 182/23 + -1542/253. Find the common denominator of p and 4/14 - 23/v. 77 Let x(w
{ "pile_set_name": "DM Mathematics" }
-2, 0.5? 0.5 Let f be (-1)/11*2/2. Let q be ((-12)/102)/1 - (-25)/68. What is the closest to q in f, 1, 5? f Let j = 9836 + -9836.1. Suppose 5*f - 30 = -5, 0 = -5*l + 5*f - 5. Suppose -3*t - 2*z - 3 = z, -24 = 4*t - z. Which is the nearest to j? (a) 2/9 (b) l (c) t a Let n = -279 - -279.1. Which is the closest to n? (a) -1.8 (b) 0.3 (c) 0.1 c Let i = 5 - 4.8. Let v be 6 - 4 - 10/4. Which is the closest to v? (a) -1/2 (b) -0.4 (c) i a Suppose 8*o + 80 = 13*o. Let u be (-11)/(-21) + o/(-24). Let p = 0 + -0.4. Which is the closest to -0.1? (a) p (b) -1/8 (c) u b Let q be -1*((-411)/12)/((-3)/(-6)). Let y = q - 70. Let i = -20 - -12. What is the nearest to 0 in i, y, 3? y Let u = 45.6 + -43.6. Let g = 6 - 5.9. Let i = -0.1 + 0.5. Which is the closest to g? (a) u (b) i (c) -4/5 b Let w(g) be the third derivative of 0*g + 1/24*g**4 - 7/6*g**3 + 8*g**2 + 0. Let k be w(12). What is the closest to 0 in 1/6, k, 4? 1/6 Let f = 7 - 7.04. Let d be ((-18)/63)/((-16)/(-28)). Which is the nearest to f? (a) -2/5 (b) 2/11 (c) d b Let g = 2.1 + -2. Let i = 0.21 - -0.79. Let n = -1.15 - -0.15. Which is the closest to i? (a) -2/11 (b) n (c) g c Let o = 159.09 - 158. Let j = o + -1.1. Which is the closest to -0.3? (a) -5 (b) 0 (c) j c Let h = -57 - -59. Suppose 4*l = 2*o + 10 - 2, 5*o + h = l. Which is the nearest to -0.2? (a) -5 (b) o (c) -1 b Let p = 0 - -0.5. Let o = 21 + -21. Let f = 1.8 + -0.8. Which is the nearest to o? (a) -0.1 (b) p (c) f a Let g = 0 + 0.1. Let p = -23.9 + 21.9. Let z = -0.2 - -0.3. Which is the nearest to g? (a) 1 (b) z (c) p b Let b = -68 - -40. Let x = -23 - b. What is the closest to -1 in 4, x, -3/4? -3/4 Let h be 3/2 + 207/(-92). What is the nearest to 1/4 in 12, 0.1, 0, h? 0.1 Let i = -2/503 + -1000/1509. Which is the nearest to i? (a) 1 (b) -1/4 (c) -2 b Suppose 2 = -4*u - 2*l, -2*l = 5*u - 0*u + 3. Which is the closest to u? (a) 3/4 (b) 4 (c) -2 c Let d be (-12)/54 + 32/90. Let t = 35 + -35.2. Which is the nearest to -0.3? (a) t (b) d (c) 1 a Let t be 2/12 - 299/(-78). Suppose 3 = -5*m - t*o - 3, -2*o = 8. Suppose 2*g - 3*g + 25 = 4*x, 3*g + 5*x = 40. Which is the closest to m? (a) g (b) 0 (c) -5 b Let i = -0.1 - -0.02. Which is the closest to -0.3? (a) -2 (b) -3/7 (c) -5 (d) i b Suppose -5 - 13 = -2*f + 4*g, -7*g - 35 = 0. Let q = 12 + -8. Let j = -3.03 + 0.03. What is the nearest to j in f, 2/15, q? f Let a = -48 + 65. Let q = 17 - a. What is the nearest to q in 0.1, 0.3, 5? 0.1 Let w = -1976 + 1975.4. Which is the nearest to w? (a) 1/6 (b) 3/5 (c) 1.4 a Let k be (-4)/(-18) + (-24)/351. Suppose 3*u = j + 18, -j + 2*j = 4*u - 23. Let d be u/18*2/(-5). Which is the nearest to -1? (a) d (b) k (c) 4 a Let f = 214 - 641/3. What is the nearest to -1/4 in -2, -9, f? f Let c be -2 - (2 - (-10)/(-3)). Let v = 1 + c. Let s = 268 + -263. What is the nearest to v in 1/3, s, 2? 1/3 Let y = 181 + -173. What is the nearest to -2 in y, -1/3, 2/11? -1/3 Let s = -527 + 527.1. Which is the nearest to s? (a) -2/13 (b) -3 (c) -4/3 (d) 1/8 d Let v = 1058 + -1061. What is the closest to v in -5, 7, 4? -5 Let t = 271 + -270. Which is the closest to -11? (a) 0.2 (b) -4 (c) 3 (d) t b Let h = 0.72 - 0.02. Let y = 4.5 + 1.5. Let d = y + -5. Which is the closest to d? (a) h (b) 3 (c) -4 a Let g = 0 - 2. Let s = -242 - -238. Which is the closest to s? (a) g (b) 2 (c) -1/2 a Let o be (-132)/28 - 3/(6/(-10)). What is the closest to -6 in -4, -0.6, o? -4 Let j be 79/((5/(-3))/5). Let l = j + 2609/11. Let k = 0.5 + 0. Which is the nearest to 0.3? (a) k (b) l (c) -3 b Let y = 2516 - 2517.2. What is the closest to 0 in y, -1, -7/6? -1 Suppose -15*o - 48 = 57. What is the closest to 2 in -2, o, 3, -3/10? 3 Let a = -1.97 + -0.03. Let j = -2.8 - -3. Let p = 0.23544 - -0.06456. What is the nearest to a in p, j, 3? j Let z = -545 - -542. What is the closest to 0 in z, 0.08, 1? 0.08 Let s = 3 - 12. Let y = -3088 + 3083. What is the closest to s in 4, y, -2/15? y Let j(z) = 2*z**3 + 1. Let s be j(-2). Let n(d) = d**2 - 16*d - 14. Let k be n(16). Let b = s - k. What is the nearest to b in
{ "pile_set_name": "DM Mathematics" }
l*x. Let w = 7 + 28. What is the highest common factor of w and x? 5 Let u be (108/14)/(21/196). Let n be -12*(0 - u/2). Calculate the highest common divisor of n and 48. 48 Suppose 76 = -3*c + 7*c. Let x = 65 + c. What is the highest common factor of 56 and x? 28 Let u(q) = 19*q + 122. Let c(k) = -9*k - 61. Let w(f) = 5*c(f) + 2*u(f). Let z be w(-12). What is the highest common divisor of 23 and z? 23 Let k = -117 - -47. Let o = k + 124. Suppose 0 = -0*x + x + y - o, 3*x = -y + 158. Calculate the greatest common divisor of x and 13. 13 Let i(c) = 5*c - 17. Let a be (9/12*-6)/((-3)/4). Let r be i(a). What is the highest common divisor of r and 286? 13 Let j be (0/4 + (-1 - -124))/1. Suppose -5*p + 77 = -j. Let m(b) = b**2 - 6*b + 5. Let o be m(-5). What is the greatest common divisor of o and p? 20 Let v be (-1 + 2)/(1/2). Let x be 1/(v + (-124)/64). Let p be 3 + (-1 - -2) + x. What is the greatest common factor of 20 and p? 20 Let n = 300 - 292. What is the highest common divisor of n and 268? 4 Suppose -2*c + 4*h = 0, 3*c + h - 3 = 4*h. Suppose c*v - 3*v = -28. What is the highest common factor of 42 and v? 14 Let u = 218 - 146. Let y = -64 + u. What is the greatest common divisor of 16 and y? 8 Let q(h) = -2*h**2 + 7*h. Let x be q(-3). Let d = x + 52. What is the highest common divisor of 91 and d? 13 Let l = 277 - 197. Suppose 2*p - 5*i - 235 = 0, 22*p - 3*i = 23*p - 123. Calculate the greatest common divisor of l and p. 40 Suppose 0 = 59*v - 57*v + 112. Let o = 65 + v. What is the greatest common divisor of 1 and o? 1 Let g be (16/32)/((-1)/(-2)). Suppose -x = -3 - g. Suppose -n + x + 16 = 0. What is the highest common factor of n and 80? 20 Let t(o) = -3*o - 1. Let l be (-14)/18 + 10/(-45). Let x be t(l). Suppose -3*a + 220 = x*a. What is the greatest common factor of a and 4? 4 Let r(q) = -9*q + 7. Let f(t) = t - 12. Suppose 0 = -4*i + 15 + 5. Let u be f(i). Let h be r(u). What is the highest common divisor of 28 and h? 14 Suppose -41 = -4*k - 9. Let w(l) = k*l + 3 - 3 - 6*l - 4. Let s be w(7). What is the greatest common divisor of s and 10? 10 Suppose 5*i - 24*m + 28*m - 590 = 0, 0 = 5*m. What is the greatest common divisor of i and 2? 2 Suppose 5*p - 5*c = 30, 0*p - c = -4*p + 18. Suppose 3*h - p = 68. Calculate the greatest common divisor of h and 24. 24 Let g(l) = 2*l - 14. Let f be 2 - 2*(-8)/2. Let o be g(f). What is the highest common divisor of o and 6? 6 Suppose 0*h = -3*h + 198. Suppose -18 = -2*v - 2*o, 3*v + 0*v - 5*o - 3 = 0. What is the highest common factor of h and v? 6 Let p = 335 + -325. Calculate the greatest common factor of p and 270. 10 Let f = 17 - 15. Suppose -4*w = k - 44, -15 = -f*w - 2*k + 13. Calculate the highest common divisor of 50 and w. 10 Suppose -3*u + 709 = 5*g, -17*u + 16*u + 4*g + 259 = 0. Calculate the highest common factor of 1 and u. 1 Let r(h) = h**2 + h + 5. Let p be r(0). Suppose -p*m + 4 = -m. Let u(a) = 9*a**2 - 3*a + 1. Let d be u(m). What is the highest common factor of 70 and d? 7 Suppose 750*n - 760*n + 140 = 0. What is the highest common divisor of n and 686? 14 Suppose -3*z + 5 = -a, 2*z - 4 = -0. Let l be (16/(-12))/(a/(-36)). What is the greatest common factor of 36 and l? 12 Suppose -a = -0 - 24. Suppose 2*o = -5*z - 2*o + 78, a = 2*z - 2*o. Calculate the highest common divisor of z and 98. 14 Let o(y) = -3*y**2 - 11*y + 103. Let u be o(-7). What is the highest common factor of 187 and u? 11 Let r(z) = z**3 - 3*z**2 - 2*z - 5. Let a be r(4). Let i(q) = 4*q**2 - 3*q**2 + 4*q + a - 8*q. Let f be i(11). What is the highest common factor of f and 10? 10 Suppose -g - 27 = -2*m + 95, -246 = -4*m + g. Let c = m + -32. Calculate the greatest common divisor of 10 and c. 10 Let t be (36 - -8) + 4/4. Calculate the highest common divisor of t and 27. 9 Suppose -j + d + 2 = 0, 3*j + d - 4 = 18. Let p(l) = -l**2 + 11*l + 7. Let h be p(7). Let a = h + j. Calculate the highest common divisor of a and 246. 41 Suppose 3*m - 155 + 35 = 0. Let s be 2/2*-4 - (-446 + 2). What is the greatest common divisor of m and s? 40 Suppose 11*f = 5*f + 12. Suppose 0 = -f*t + 3*c + 128, 0 = -4*t + 2*c + 247 + 9. What is the greatest common factor of 16 and t? 16 Suppose 2*u - 8 = 0, 0*u - 88 = -2*p + 5*u. Suppose 26 = 4*i - p. Let v be (-4)/(-1)*(-10)/(-1). Calculate the highest common divisor of i and v. 20 Let c be (3 - 4)*(-4 + 1). Suppose 3*g - 3*f = -21, 0*g - f - 21 = c*g. Let q = g + 13. What is the greatest common factor of 9 and q? 3 Suppose -2*r + 5*r + n - 39 = 0, 2*n + 6 = 0. What is the highest common divisor of r and 70? 14 Suppose -j - 1 = 0, 4*g - 6*j - 1737 = -9*j. Calculate the greatest common divisor of 87 and g. 87 Suppose -57*s + 563 = -691. Calculate the greatest common factor of s and 275. 11 Let w(c) = -c + 61. Let l be w(-7). Calculate the greatest common factor of l and 102. 34 Let u = 83 + -17. Let j = 41 - 35. Calculate the highest common factor of u and j. 6 Let z(x) = 2*x**3 - 12*x**2 + 12*x - 2. Let m be z(7). Suppose -6*d + 1204 = -2*d. Let a = d - m. Calculate the highest common divisor of a and 11. 11 Suppose -4*m - 394 = -3*x, 13*m = 5*x + 16*m - 618. Calculate the greatest common divisor of 72 and x. 18 Let m be (2 + 22/(-6))*1026/(-45). What is the greatest common
{ "pile_set_name": "DM Mathematics" }
1 What is next in -13373795, -13373789, -13373783, -13373777? -13373771 What is the next term in -72244, -144381, -216410, -288331, -360144? -431849 What is next in 1072511, 2144838, 3217165? 4289492 What is next in -522315, -1044755, -1567185, -2089599, -2611991, -3134355, -3656685, -4178975? -4701219 What is the next term in 306518363, 613036727, 919555091, 1226073455, 1532591819, 1839110183? 2145628547 What is the next term in -64528, -129029, -193504, -257941, -322328, -386653, -450904? -515069 What comes next: -1141, -1165, -1247, -1423, -1729, -2201, -2875? -3787 What comes next: 2978190, 5956705, 8935220, 11913735? 14892250 What is the next term in -60304, -120523, -180740, -240955, -301168, -361379, -421588? -481795 What comes next: -34158403, -34158362, -34158311, -34158244, -34158155, -34158038, -34157887? -34157696 What is next in -3271361, -3271363, -3271365, -3271367, -3271369, -3271371? -3271373 What comes next: -952690, -1905119, -2857546, -3809971, -4762394, -5714815? -6667234 What comes next: 7376, 59097, 199520, 472997, 923880, 1596521? 2535272 What is the next term in 216, -152, -628, -1206, -1880, -2644? -3492 What comes next: 39679, 39342, 38789, 38026, 37059, 35894, 34537? 32994 What is the next term in -61, -407, -1359, -3229, -6329, -10971? -17467 What comes next: -596, 1087, 2770, 4453, 6136? 7819 What is the next term in -4021565, -4021562, -4021559, -4021556, -4021553? -4021550 What is next in -1250036, -1250041, -1250048, -1250057, -1250068, -1250081? -1250096 What is next in 256, 494, 736, 982, 1232, 1486? 1744 What comes next: -20848, -20724, -20378, -19702, -18588, -16928? -14614 What is next in 404220, 404067, 403916, 403767, 403620? 403475 What is the next term in 889021, 3556111, 8001271, 14224501, 22225801, 32005171? 43562611 What comes next: 341659, 341715, 341771, 341827, 341883? 341939 What is next in 13118289, 26236577, 39354875, 52473189, 65591525, 78709889, 91828287, 104946725? 118065209 What comes next: -10004071, -10004069, -10004069, -10004071? -10004075 What is the next term in 1974, 4195, 6660, 9369? 12322 What comes next: 2378, 11451, 27238, 49739, 78954? 114883 What is the next term in -22875224, -45750424, -68625624, -91500824, -114376024, -137251224? -160126424 What is next in -21930, -22150, -22370, -22590? -22810 What comes next: -10304, -41651, -94038, -167465? -261932 What is next in -61996, -61770, -61544? -61318 What is the next term in -30832, -61703, -92576, -123451? -154328 What is the next term in 62042, 61764, 61302, 60656? 59826 What is the next term in -1210667, -2421561, -3632453, -4843343, -6054231, -7265117? -8476001 What comes next: 424, 491, 658, 931, 1316, 1819, 2446? 3203 What is the next term in 169, 1135, 3753, 8851, 17257, 29799, 47305, 70603? 100521 What is the next term in -75589154, -151178306, -226767458? -302356610 What is the next term in -133755407, -133755408, -133755409? -133755410 What comes next: -196465, -200056, -203647, -207238, -210829, -214420? -218011 What comes next: -11973622, -23947228, -35920834, -47894440, -59868046? -71841652 What is the next term in -132083, -264190, -396295, -528398, -660499, -792598, -924695? -1056790 What is the next term in -13132563, -13132562, -13132561, -13132560, -13132559? -13132558 What comes next: -10427592, -20855183, -31282774, -41710365, -52137956? -62565547 What comes next: 2104, 5443, 10036, 15883, 22984, 31339? 40948 What is next in -1559, 5177, 16403, 32119? 52325 What is the next term in 124273624, 124273574, 124273438, 124273174, 124272740? 124272094 What is next in 442, 399, 358, 319, 282, 247? 214 What is next in -16198, -64962, -146234, -260014, -406302, -585098? -796402 What comes next: 217954, 217971, 218010, 218077, 218178, 218319, 218506, 218745? 219042 What is next in 42577, 49743, 56909, 64075, 71241? 78407 What comes next: -4464134269, -4464134268, -4464134267, -4464134266? -4464134265 What is the next term in 716922, 716861, 716850, 716913, 717074, 717357, 717786? 718385 What is next in 266974, 268457, 269938, 271417? 272894 What is next in 10405, 40120, 89645, 158980? 248125 What is the next term in -6606, 353, 11942, 28155, 48986, 74429, 104478? 139127 What is next in -173681416, -347362831, -521044246, -694725661, -868407076? -1042088491 What comes next: 1901256, 1901258, 1901260, 1901262? 1901264 What comes next: -42845, -42847, -42853, -42863, -42877? -42895 What is the next term in 7739, 31275, 70605, 125729, 196647? 283359 What is the next term in -2355, 4747, 11849, 18951, 26053? 33155 What comes next: 70659, 71944, 73229, 74514, 75799, 77084? 78369 What comes next: -10496, -20836, -31172, -41504, -51832? -62156 What comes next: -111706, -111526, -111348, -1111
{ "pile_set_name": "DM Mathematics" }
t the terms in 1368 - 2*o**2 - 1368. -2*o**2 Collect the terms in 2*w + 119*w**3 + 1 - 1. 119*w**3 + 2*w Collect the terms in 116*j**2 + 105*j**2 - 209*j**2. 12*j**2 Collect the terms in -512813 + l**2 + 512813 + 0*l**2. l**2 Collect the terms in -2369*x**3 + 4707*x**3 - 2370*x**3. -32*x**3 Collect the terms in 37*q**3 - 18*q**3 - 18*q**3. q**3 Collect the terms in 4 - 7 + 3 + 336*p**2. 336*p**2 Collect the terms in 4 + 8 + 14*v - 59. 14*v - 47 Collect the terms in -34*n**2 + 20*n**2 - 4*n**2. -18*n**2 Collect the terms in 19 - 59*k - 19 + k. -58*k Collect the terms in -8*i - i + 9*i - 2*i**3. -2*i**3 Collect the terms in -7*t**3 - 60227*t + 60227*t. -7*t**3 Collect the terms in 4 - 6*h + 4*h + 2 - 6*h. -8*h + 6 Collect the terms in z + 25*z - z - 13*z. 12*z Collect the terms in -24*f**3 + f - f + 24*f**3 - 12*f**3. -12*f**3 Collect the terms in -58*b**3 - b - 2*b + 3*b. -58*b**3 Collect the terms in 1 - 19*v - 2 + 1. -19*v Collect the terms in 12*g**3 - 4*g**3 + 12*g**3. 20*g**3 Collect the terms in -24*y**2 - 9 + 9. -24*y**2 Collect the terms in 5*o - 14*o - 11*o. -20*o Collect the terms in m**3 - 15*m + 4*m - 3*m + 14*m. m**3 Collect the terms in 2*z + 0*z - z. z Collect the terms in 9*s - 3*s + 22*s - 5*s. 23*s Collect the terms in 6 - 6 + 2*z**2 + 0*z**2. 2*z**2 Collect the terms in 282*a**2 + 50*a - 50*a. 282*a**2 Collect the terms in -556*k + 556*k + 5*k**2. 5*k**2 Collect the terms in -37 + 19 - 3*u + 18. -3*u Collect the terms in 8265*q - 4125*q - 4138*q. 2*q Collect the terms in -9*f**2 - 3*f + 5*f**2 + 5*f - 4*f**2. -8*f**2 + 2*f Collect the terms in -78*d**2 + 78*d**2 - 11*d**3. -11*d**3 Collect the terms in -35 + 55860*w - 55858*w + 35. 2*w Collect the terms in -37 + 22 + 118*w**3 + 15 - 117*w**3. w**3 Collect the terms in 3 - 3*m**2 - 12*m**2 - 3. -15*m**2 Collect the terms in 38*a + 40*a - 78*a - 230*a**3. -230*a**3 Collect the terms in -91*o**2 - 88*o**2 + 180*o**2. o**2 Collect the terms in 4*n**2 - 12*n**2 - 8*n**2. -16*n**2 Collect the terms in 2*q - 5*q + q - 4*q. -6*q Collect the terms in -9*a**2 + 5*a**2 - 4*a**2 + 3*a**2. -5*a**2 Collect the terms in -2*y**3 + 9 - 3*y**3 + 0. -5*y**3 + 9 Collect the terms in -30*m - 33*m - 31*m + 98*m - 20*m. -16*m Collect the terms in -3 + 8*j + 3 + 15*j. 23*j Collect the terms in -m - 2*m - 5*m. -8*m Collect the terms in -119*u**2 + 22*u**3 - 5*u**3 + 119*u**2. 17*u**3 Collect the terms in 4*j**2 + 2*j**2 + 6*j**2 - 4*j**2. 8*j**2 Collect the terms in -35*n - 35*n + 70*n - n**2. -n**2 Collect the terms in 5*p**2 - 9*p**2 + p**3 + 4*p**2. p**3 Collect the terms in 2741*l**2 + 4*l**3 - 2741*l**2. 4*l**3 Collect the terms in -218 + 70 + 8*f + 75 + 73. 8*f Collect the terms in -36*m + 183*m - 36*m - 108*m. 3*m Collect the terms in 47*o**3 + 3*o**2 - 3*o**2 - 59*o**3 + 15*o**3. 3*o**3 Collect the terms in 15*t + 0 - 1 - 1. 15*t - 2 Collect the terms in 3*m**2 + 4*m**2 - 7*m**2 + 2*m**3. 2*m**3 Collect the terms in -447 + 447 - 15*f + 4*f. -11*f Collect the terms in 0*g**2 - 14*g - g**2 - g**2 - 7. -2*g**2 - 14*g - 7 Collect the terms in 6*l - 2*l + 9 + 17 - 2*l. 2*l + 26 Collect the terms in -7*s**2 + 2968*s - 2968*s. -7*s**2 Collect the terms in 35*o**2 - 107*o**2 + 36*o**2 + 32*o**2. -4*o**2 Collect the terms in 23*u**2 - 25*u**2 - 3 + 3. -2*u**2 Collect the terms in -18*y**2 - 44*y**2 + 8*y**2. -54*y**2 Collect the terms in -244 + 20*x + 244. 20*x Collect the terms in -u + 166 - 9*u + 2*u. -8*u + 166 Collect the terms in -59*p**3 - 57*p**3 + 106*p**3. -10*p**3 Collect the terms in -4*v**3 - v**2 - 5*v**2 + 2*v**3. -2*v**3 - 6*v**2 Collect the terms in -89*o + 266*o + 19*o**2 - 92*o - 85*o. 19*o**2 Collect the terms in 4*m + 13*m - 36 + 36. 17*m Collect the terms in 21*l**2 + 3*l**3 + 2*l**3 - 21*l**2. 5*l**3 Collect the terms in -112 - 5*j + 112. -5*j Collect the terms in -4*q**3 + 0*q**2 - q**2 + q**2. -4*q**3 Collect the terms in -109*j + 7*j**2 + 109*j. 7*j**2 Collect the terms in -12 - 4*z**2 + 2*z**2 + 4*z**2 - z**2. z**2 - 12 Collect the terms in -54*c**3 + 19*c**3 - 42*c**3. -77*c**3 Collect the terms in -64*q**2 + 66*q**2 + 161*q**2. 163*q**2 Collect the terms in -60*k**2 - 5 - 13 + 59*
{ "pile_set_name": "DM Mathematics" }
se 8) in base 12? -3 Convert 23 (base 4) to base 13. b What is -1c (base 15) in base 14? -1d -10010 (base 2) to base 15 -13 Convert -1 (base 5) to base 16. -1 -4 (base 10) to base 7 -4 Convert 75 (base 8) to base 15. 41 What is -5 (base 6) in base 15? -5 What is -3 (base 10) in base 8? -3 Convert -152 (base 8) to base 5. -411 17 (base 14) to base 10 21 -4 (base 9) to base 14 -4 -10001 (base 3) to base 15 -57 What is 1000101 (base 2) in base 16? 45 43 (base 12) to base 4 303 -163 (base 10) to base 5 -1123 What is 3 (base 12) in base 11? 3 -1 (base 4) to base 11 -1 What is 11 (base 7) in base 3? 22 Convert -110 (base 3) to base 9. -13 3 (base 13) to base 16 3 0 (base 12) to base 8 0 Convert 110 (base 2) to base 7. 6 221 (base 3) to base 13 1c Convert 22 (base 7) to base 12. 14 1 (base 2) to base 6 1 What is 4 (base 9) in base 10? 4 What is 3 (base 8) in base 16? 3 Convert 0 (base 14) to base 13. 0 What is 1 (base 5) in base 10? 1 Convert -2201 (base 3) to base 15. -4d What is 203 (base 4) in base 10? 35 What is -2 (base 9) in base 11? -2 What is -84 (base 13) in base 12? -90 -47 (base 11) to base 16 -33 Convert -8 (base 12) to base 8. -10 5 (base 15) to base 13 5 What is 1 (base 12) in base 7? 1 -313 (base 4) to base 2 -110111 Convert 2 (base 12) to base 14. 2 What is 100212 (base 3) in base 4? 10022 Convert -7 (base 15) to base 4. -13 What is -49 (base 16) in base 7? -133 -3 (base 14) to base 7 -3 What is -3 (base 7) in base 4? -3 -1 (base 5) to base 15 -1 What is 6 (base 12) in base 9? 6 6 (base 7) to base 3 20 1001100 (base 2) to base 14 56 What is -220 (base 3) in base 4? -120 Convert -ab (base 15) to base 3. -12222 22 (base 12) to base 6 42 12 (base 4) to base 10 6 Convert 331 (base 4) to base 3. 2021 -2 (base 14) to base 12 -2 Convert 3 (base 14) to base 15. 3 Convert 7 (base 12) to base 13. 7 What is -1 (base 16) in base 6? -1 -59 (base 11) to base 7 -121 What is 3 (base 9) in base 16? 3 8 (base 11) to base 14 8 Convert -1 (base 8) to base 15. -1 Convert 112 (base 3) to base 16. e What is 6 (base 12) in base 5? 11 What is 100 (base 3) in base 13? 9 Convert 14 (base 5) to base 8. 11 Convert -5 (base 15) to base 4. -11 -133 (base 5) to base 6 -111 What is -1a (base 11) in base 7? -30 What is 74 (base 9) in base 3? 2111 Convert 11 (base 4) to base 16. 5 Convert -17 (base 9) to base 7. -22 What is -2 (base 8) in base 3? -2 What is 3 (base 13) in base 6? 3 -56 (base 7) to base 2 -101001 Convert -22 (base 8) to base 2. -10010 -3 (base 5) to base 14 -3 What is 4a (base 16) in base 4? 1022 What is 202 (base 3) in base 14? 16 What is -33 (base 5) in base 9? -20 Convert 255 (base 11) to base 16. 12e Convert 1 (base 15) to base 14. 1 101001 (base 2) to base 16 29 -3 (base 12) to base 4 -3 -121 (base 6) to base 11 -45 What is -10 (base 5) in base 2? -101 -11100001 (base 2) to base 7 -441 -104 (base 5) to base 13 -23 What is -10010 (base 2) in base 10? -18 21 (base 14) to base 16 1d What is -171 (base 9) in base 11? -122 -1 (base 15) to base 9 -1 Convert -41 (base 8) to base 7. -45 What is c8 (base 14) in base 10? 176 Convert aa (base 14) to base 11. 127 What is 5 (base 13) in base 14? 5 -1 (base 4) to base 2 -1 What is 1a3 (base 11) in base 3? 22200 What is 1 (base 13) in base 6? 1 212 (base 3) to base 8 27 What is -7 (base 13) in base 8? -7 0 (base 9) to base 4 0 53 (base 6) to base 5 113 9 (base 13) to base 11 9 Convert -3a (base 15) to base 13. -43 What is 223 (base 7) in base 12? 97 Convert -2 (base 3) to base 2. -10 7 (base 16) to base 10 7 -10 (base 12) to base 9 -13 Convert -11 (base 2) to base 11. -3 Convert 3 (base 12) to base 3. 10 -101 (base 3) to base 14 -a -10 (base 11) to base 12 -b What is -4 (base 13) in base 4? -10 What is 16 (base 16) in base 14? 18 33 (base 8) to base 13 21 -19 (base 16) to base 13 -1c -18 (base 10) to base 6 -30 What is 1 (base 5) in base 12? 1 -65 (base 15) to base 2 -1011111 11000100 (base 2) to base 13 121 33 (base 15) to base 13 39 91 (base 16) to base 7 265 1010000 (base 2) to base 15 55 Convert 3 (base 8) to base 12. 3 Convert 520 (base 8) to base 5. 2321 Convert 1b (base 12) to base 10. 23 What is 47 (base 12) in base 16? 37 What is -13 (base 6) in base 2? -1001 6 (base 13) to base 12 6 Convert 1121 (base 3) to base 8. 53 Convert 44 (base 7) to base 2. 100000 Convert -423 (base 6) to base 15. -a9 Convert 29 (base 10) to base 13. 23 Convert 0 (base 7) to base 16. 0 What is -41 (base 5) in base 6? -33 Convert 31 (base 7) to base 9. 24 10 (base 4) to base 10 4 -20101 (base 3) to base 2 -10101100 37 (base 13) to base 7 64 What is 0 (base 7) in base 12? 0 Convert -22 (base 3) to base 15. -8 What is -4 (base 12) in base 15? -4 27 (base 15) to base 8 45 Convert 10 (base 3) to base 14. 3 Convert 1110110 (base 2) to base 9. 141 -23 (base 14) to base 7 -43 What is -10c (base 14) in base 3? -21201 What is -7 (base 16) in base 4?
{ "pile_set_name": "DM Mathematics" }
tor of -97/74 and z. 740 Let s(m) = m**3 - 24*m**2 + 24*m + 17. Let z = 646 - 623. Calculate the lowest common multiple of s(z) and 15. 120 Let t = 3703/705 - 28/235. Calculate the common denominator of t and 37/726. 3630 Let z be -11 - -3 - 6018/(-152). Let n = -244/19 + z. What is the common denominator of (-4)/(-6)*(-426)/(-8) and n? 4 Let l be (-334)/6 - 10/15. Let s = l - -122/3. Find the common denominator of -41/4 and s. 12 Suppose -20 = -2*a - 4*g, -4 - 30 = -3*a - 2*g. Calculate the smallest common multiple of 258 and a/(-15) - (-832)/65. 516 Suppose n + 8 = 3*w, -2*w + 6*w - 2*n - 8 = 0. Calculate the common denominator of 89/26 and w/1 - ((-124)/(-40) - -2). 130 Let n(m) = 4*m. Suppose -1139*f = 1254388 - 3575670. What is the least common multiple of f and n(2)? 8152 Suppose -3*p + 390 = 2*p. Suppose 0 = 17*v - 2646 + 623. Let r = p - v. What is the common denominator of -13/17 and r? 17 Suppose 0 = 120*f - 121*f + 5. Suppose -6*m + m = -25. Suppose m*j + f*p = 50, -6*j + j = 3*p - 50. What is the lowest common multiple of j and 16? 80 Let n(v) = -v**3 + 9*v**2 - 11*v - 3. Let h be n(8). Let m = 32 + h. Suppose 8*s - 4*s = 3*b - 56, 90 = m*b - 5*s. What is the least common multiple of 1 and b? 16 Let s(l) = -l**2 + 5*l + 2. Suppose -27*z + 512 + 1254 + 718 = 0. Calculate the least common multiple of s(5) and z. 92 Let c = -23 - 88. Let z = 117 + c. Calculate the least common multiple of 22 and z. 66 Let n be (5/10*2)/((-1)/(-4)). Suppose -n*w + w = 60. Find the common denominator of 63/5 and ((-206)/w)/(2/(-2)). 10 Let d = 544420325/18 + -30253521. Let o = d - -7952. What is the common denominator of 139/6 and o? 18 Suppose -b = -g + 393, 73*g + 5*b - 807 = 71*g. What is the lowest common multiple of g and 153? 6732 Let p(t) = 3*t**3 - t**2 - 3*t - 7. Let k be p(4). Suppose k*i - 189 = 150*i. What is the least common multiple of (-184)/(-10) + (-2)/5 and i? 54 Let a = 54311/12 - 4522. Calculate the common denominator of a and (125/(-40))/(21 - 164/8). 12 Suppose -843*i + 299*i + 1752632 + 110024 = 0. What is the smallest common multiple of i and 856? 3424 What is the common denominator of (-3246)/(-630) + (-4)/14 and 54/1053 - ((-4772)/(-150))/(5460/75)? 210 What is the common denominator of 145/384 and (-9225)/190080*-22 + 1 + 10/(-6)? 384 Suppose 5*d - 2*c = d + 50, 2*c = -2*d + 10. Calculate the smallest common multiple of 814 and d. 4070 Suppose -4*m + 5*b + 2700 = -741, 0 = -4*m - 2*b + 3462. What is the lowest common multiple of m and 360? 4320 Let c(o) = 15*o - 97. Let p = -101 + 108. Calculate the lowest common multiple of c(p) and 56. 56 Suppose 13 = z + 7. Let h(m) = -18*m + 36. Let u be h(2). Suppose 4*j - 3*j - 14 = u. What is the smallest common multiple of z and j? 42 Find the common denominator of -51/256 and (-5817903)/(-19004160) + 1/(-35)*-2. 256 Calculate the common denominator of (-8)/12*(42527/(-138))/(-43) and 36/3425. 30825 Let c be 0/(((-9)/6)/((-9)/12)). Suppose -3*a + 229 + 584 = c. What is the lowest common multiple of a and 2? 542 What is the common denominator of ((-69)/(-345))/(4/(-230)) and 1/(-3)*(-606)/20? 10 Let v = -113 + 118. Suppose -68 = -5*d + 4*h, -4*d - d = v*h - 50. Calculate the common denominator of -81/10 and 51/d*(3/(-8))/1. 160 Let g = -7 + 27. Let d(n) = -n**3 + 5*n**2 + 7*n - 4. Let w be d(6). Suppose -14 = -w*l + 6. What is the lowest common multiple of g and l? 20 Suppose -5*q + 61 = 3*z, -17 = -z - q - 0*q. Calculate the smallest common multiple of (-17 + -3)/((-8)/z) and 66. 330 Let v = 137693 + -218105695/1584. What is the common denominator of v and 109/1232? 11088 Suppose 3*d + j - 143 = 0, 4*j - 102 = -2*d + 2*j. Calculate the least common multiple of 20 and d. 460 Suppose 2*m = -3*f + m + 11, -4*f - 4*m = -20. Suppose -h + f*h = -w - 4, 0 = 4*h + w + 8. What is the smallest common multiple of 2/((-1)/h*4) and 53? 53 Suppose -170*f + 2 = -169*f. Let s = 17235/44 - 1585/4. Calculate the common denominator of ((-2 - f) + 2)*101/24 and s. 132 Calculate the common denominator of ((-137)/(-36) + -2 + -2)/(230/380) and -101/322. 2898 Let p(d) = 4*d**3 + d**2 + 4*d - 3. Let k be p(1). Let r = k + 98. Calculate the lowest common multiple of r and 4. 104 Let n = -12028 + 18338. Let i = 88261/14 - n. Let o = -184661/20 + 18465/2. Calculate the common denominator of i and o. 140 Let r(n) = 23*n - 46. Let m be r(2). Suppose 5*x + 9*x - 784 = m. Calculate the least common multiple of x and 28. 56 Let z = 468 - 461. Suppose -2*c = l - 37, -c = -8 + z. Calculate the smallest common multiple of l and 150. 1050 Let w(h) = 4*h + 21. Let m be w(5). Suppose -2*z + p = -m, 0*z + 44 = 2*z + 2*p. Suppose -z = -3*a + 21. Calculate the lowest common multiple of 2 and a. 14 Let h be (-30)/15 + (-7753)/11. Let i = h - -708. Calculate the common denominator of i and 43/88. 88 Suppose 2*d - 6 = 5*p, 4*p - 6 + 18 = 4*d. Suppose -2*k - 3*i + 130 = -45, i - 5 = p. What is the lowest common multiple of 60 and k? 240 Let v = 323891033/4408 + -73478. Calculate the common denominator of -49/2 and v. 4408 Let k = 30847/36 - 1713/2. What is the common denominator of ((-1)/(-15))/(-5 + 6555/1325) and k? 252 Suppose -54 = 3*m - 6*m. Suppose -25*x + 3383 = 3058. What is the lowest common multiple of x and m? 234 Let r = 96 - 32. Let b = 70 - r. What is the least common multiple of 15 and
{ "pile_set_name": "DM Mathematics" }
what is 25 + -3111? -3075 In base 11, what is 12a3 - -a0? 1393 In base 14, what is -a9c + -21? -abd In base 5, what is 112 + 23103? 23220 In base 3, what is -201012 + -100? -201112 In base 5, what is -30 - -2041042? 2041012 In base 3, what is -1011110000221 + -1? -1011110000222 In base 13, what is 7cba + -329? 7991 In base 9, what is -2188 + 138? -2050 In base 13, what is 302b - 4? 3027 In base 14, what is -c + -1c2a? -1c38 In base 6, what is 142 - -41253? 41435 In base 10, what is 421689 - -3? 421692 In base 11, what is 7 - 35460? -35454 In base 15, what is -17bad - 3? -17bb1 In base 3, what is 2 + 110212210222? 110212211001 In base 7, what is 56 + -532? -443 In base 14, what is 68946c - -4? 689472 In base 10, what is 5 + -27528? -27523 In base 16, what is 14 + -c4a? -c36 In base 11, what is a951 + -2? a94a In base 7, what is 26231 + 14? 26245 In base 3, what is -101122001201 + -2? -101122001210 In base 9, what is 202508 - 3? 202505 In base 8, what is -107 - -13633? 13524 In base 5, what is 20121 - -134? 20310 In base 8, what is -244 - 10033? -10277 In base 15, what is -312b - -27? -3104 In base 3, what is -1222 + -121101010? -121110002 In base 11, what is 4 + -69341? -69338 In base 2, what is 10 - -1111110010101111? 1111110010110001 In base 16, what is 0 + f9e3? f9e3 In base 2, what is -10000111011 + 10101? -10000100110 In base 16, what is 9 + 41887? 41890 In base 6, what is -2435002 + -2? -2435004 In base 13, what is 5 - 4ba1b? -4ba16 In base 11, what is 9 - 11271? -11263 In base 13, what is -115 + -20b? -323 In base 5, what is -300 + 10111? 4311 In base 10, what is 4961 + 2? 4963 In base 10, what is 126 + 12544? 12670 In base 2, what is 100 + -101000111011000011011? -101000111011000010111 In base 14, what is -2 + -1785? -1787 In base 7, what is -4464043 + 0? -4464043 In base 3, what is 102100211 + 2? 102100220 In base 14, what is 8 - -238c3? 238cb In base 14, what is -57b3 + 2? -57b1 In base 5, what is -40421 - 2432? -43403 In base 10, what is -511 - -20? -491 In base 9, what is -330 + 27857? 27527 In base 13, what is -36853 - -5? -3684b In base 8, what is 4 - -434355? 434361 In base 6, what is -1324213 + 0? -1324213 In base 8, what is -605 + 61? -524 In base 14, what is 0 + 456a? 456a In base 16, what is -49 + -dda? -e23 In base 9, what is 0 - -101373? 101373 In base 5, what is 4044 + 303? 4402 In base 16, what is 1f811 + -1? 1f810 In base 5, what is -21 + 241403? 241332 In base 8, what is 1 + 3001313? 3001314 In base 13, what is 3ba + 130? 51a In base 5, what is -4040202 + 3? -4040144 In base 13, what is -13497 - -44? -13453 In base 14, what is -1d37 - -5? -1d32 In base 11, what is 6 - 30675? -3066a In base 10, what is 53 - -365? 418 In base 15, what is 9d0 - -6? 9d6 In base 14, what is 5c + -715? -697 In base 13, what is -4a + 124? a7 In base 6, what is -255334 + -35? -255413 In base 13, what is 5 + -21016c? -210167 In base 8, what is 141062 - -4? 141066 In base 4, what is 10 + -1223112? -1223102 In base 4, what is 33303 - -320? 100223 In base 7, what is -126564 + 23? -126541 In base 3, what is -1110201211 + 2? -1110201202 In base 3, what is 10002 + -121221? -111212 In base 8, what is -303 - 7734? -10237 In base 9, what is 61 + 1662? 1733 In base 16, what is 4 + -1c1e? -1c1a In base 8, what is 106 - -652? 760 In base 4, what is 3 + -1022113? -1022110 In base 10, what is -176 + -112? -288 In base 4, what is -3211133 + -1? -3211200 In base 8, what is 3 - 17135? -17132 In base 3, what is 11 + -1110001212001? -1110001211220 In base 14, what is -d + -3b99a? -3b9a9 In base 13, what is 1 - 194a? -1949 In base 9, what is 78054 - -7? 78062 In base 9, what is 4020 - -13? 4033 In base 10, what is 47529 + -4? 47525 In base 16, what is -34 + -51f? -553 In base 5, what is -40231 - 41? -40322 In base 11, what is 360912 + 5? 360917 In base 6, what is -4 + -513011? -513015 In base 4, what is 101113 - 2233? 32220 In base 13, what is -9 - -4379? 4370 In base 6, what is -1 + 545343? 545342 In base 2, what is -1110 + -100001001000010010? -100001001000100000 In base 9, what is 162541 - 2? 162538 In base 8, what is -2 - 6452? -6454 In base 16, what is -82e1 - -3? -82de In base 10, what is 302 + 2569? 2871 In base 2, what is -1010001000000011 + 1000011? -1010000111000000 In base 4, what is 2331101 - -23? 2331130 In base 3, what is 200210211210 - 12? 200210211121 In base 14, what is b - -a90? a9b In base 13, what is -15 - 146b? -1483 In base 3, what is -11 - -220011? 220000 In base 10, what is -27 + 78? 51 In base 6, what is 4 - -2250? 2254 In base 9, what is 0 + -122811? -122811 In base 10, what is 16054 - 48? 16006 In base 7, what is 346066 + 11? 346110 In base 14, what is -3 + -1ad7d
{ "pile_set_name": "DM Mathematics" }
prob of picking 2 t and 1 g. 1/15 Two letters picked without replacement from {b: 16, t: 2}. What is prob of picking 1 b and 1 t? 32/153 Four letters picked without replacement from {p: 6, q: 13}. What is prob of picking 1 q and 3 p? 65/969 Three letters picked without replacement from {r: 7, l: 1, w: 2, v: 3, s: 4}. Give prob of picking 1 r, 1 l, and 1 s. 7/170 What is prob of picking 1 o and 3 l when four letters picked without replacement from {l: 9, o: 9}? 21/85 Calculate prob of picking 1 g, 1 f, and 1 x when three letters picked without replacement from {f: 5, y: 1, x: 3, g: 6}. 18/91 What is prob of picking 1 t and 1 k when two letters picked without replacement from {k: 2, r: 1, t: 2, a: 1}? 4/15 Four letters picked without replacement from zaykzkjkkazyyzyzyyzz. What is prob of picking 1 k, 1 z, 1 j, and 1 y? 56/1615 Three letters picked without replacement from qrrqquuugqrfuuqqgf. Give prob of picking 1 q and 2 g. 1/136 Calculate prob of picking 1 w and 1 d when two letters picked without replacement from {d: 5, q: 1, w: 1, s: 5, o: 3}. 1/21 Two letters picked without replacement from bbllw. Give prob of picking 1 l and 1 b. 2/5 Three letters picked without replacement from azzzazzzaaaazaaazza. Give prob of picking 2 z and 1 a. 120/323 Calculate prob of picking 4 k when four letters picked without replacement from kuskkukku. 5/126 Two letters picked without replacement from rnrrrrrr. Give prob of picking 1 n and 1 r. 1/4 Two letters picked without replacement from {u: 5, x: 2, b: 3, v: 7}. Give prob of picking 1 b and 1 v. 21/136 Two letters picked without replacement from {m: 3, v: 5, d: 2, c: 3, s: 3}. What is prob of picking 1 s and 1 v? 1/8 Three letters picked without replacement from {z: 12, o: 3}. What is prob of picking 3 o? 1/455 Calculate prob of picking 1 o and 3 y when four letters picked without replacement from {k: 6, e: 6, y: 5, o: 1}. 1/306 Calculate prob of picking 2 r when two letters picked without replacement from {s: 3, r: 3, k: 2, u: 9, p: 1, h: 2}. 3/190 Three letters picked without replacement from dmwmmmmdmm. What is prob of picking 2 d and 1 w? 1/120 Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {o: 2, t: 1, d: 5, u: 1, v: 2, z: 4}. 1/105 Three letters picked without replacement from {l: 5, o: 3, y: 1}. What is prob of picking 2 l and 1 o? 5/14 What is prob of picking 3 m and 1 b when four letters picked without replacement from {m: 3, b: 1, l: 6, i: 2}? 1/495 Four letters picked without replacement from vqvvqv. Give prob of picking 2 v and 2 q. 2/5 Four letters picked without replacement from {x: 4, w: 6, c: 4}. What is prob of picking 1 w, 1 c, and 2 x? 144/1001 What is prob of picking 1 l and 2 m when three letters picked without replacement from {l: 1, m: 9, v: 1, y: 2, z: 1, q: 6}? 3/95 What is prob of picking 1 y and 1 t when two letters picked without replacement from rrllvvyylrtyz? 1/26 Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, z: 9, n: 7}. 1/153 Calculate prob of picking 1 d and 1 m when two letters picked without replacement from ndzmq. 1/10 Calculate prob of picking 2 k and 2 p when four letters picked without replacement from {j: 3, p: 2, k: 5, l: 3, v: 2}. 2/273 Four letters picked without replacement from dddrdfffmwffwff. What is prob of picking 1 f and 3 d? 4/195 Two letters picked without replacement from jujqisn. Give prob of picking 1 s and 1 n. 1/21 Calculate prob of picking 2 o and 2 n when four letters picked without replacement from {p: 3, o: 3, k: 3, n: 3}. 1/55 Three letters picked without replacement from {e: 1, m: 1, i: 1, j: 2, y: 2, f: 1}. What is prob of picking 1 m, 1 i, and 1 e? 1/56 Three letters picked without replacement from {b: 5, p: 2}. Give prob of picking 1 b and 2 p. 1/7 Two letters picked without replacement from {t: 17, b: 2}. Give prob of picking 2 t. 136/171 Four letters picked without replacement from {q: 2, b: 10}. Give prob of picking 2 b and 2 q. 1/11 Four letters picked without replacement from xfppeedttfpxfet. What is prob of picking 1 x and 3 e? 2/1365 Four letters picked without replacement from xxxhxxhxx. What is prob of picking 4 x? 5/18 What is prob of picking 1 x and 1 j when two letters picked without replacement from {y: 2, j: 7, k: 3, x: 5}? 35/136 Calculate prob of picking 1 m, 1 v, and 2 c when four letters picked without replacement from cmmmvmvcm. 5/63 Two letters picked without replacement from {b: 1, n: 1, a: 2, u: 1}. Give prob of picking 1 a and 1 n. 1/5 Calculate prob of picking 2 w when two letters picked without replacement from sgww. 1/6 What is prob of picking 2 y when two letters picked without replacement from {y: 2, q: 1, v: 1, r: 4, g: 2}? 1/45 Calculate prob of picking 1 m and 2 y when three letters picked without replacement from mmyy. 1/2 Two letters picked without replacement from {c: 1, g: 4, d: 3}. Give prob of picking 2 g. 3/14 Two letters picked without replacement from cuuc. What is prob of picking 2 c? 1/6 Calculate prob of picking 1 w, 1 g, 1 u, and 1 b when four letters picked without replacement from {b: 2, i: 1, u: 4, w: 4, g: 3}. 96/1001 What is prob of picking 1 t and 1 b when two letters picked without replacement from {o: 1, t: 7, b: 1}? 7/36 Calculate prob of picking 2 k and 1 m when three letters picked without replacement from {p: 1, k: 2, m: 1, r: 4, f: 2}. 1/120 Calculate prob of picking 2 j when two letters picked without replacement from yjrjk. 1/10 Three letters picked without replacement from {w: 14, n: 1}. What is prob of picking 3 w? 4/5 What is prob of picking 1 t, 1 s, and 1 g when three letters picked without replacement from {s: 2, g: 1, t: 2, q: 1, i: 2, k: 1}? 1/21 What is prob of picking 4 s when four letters picked without replacement from {x: 7, s: 12}? 165/1292 Two letters picked without replacement from {l: 2, g: 10, c: 1, v: 3, f: 1}. What is prob of picking 1 v and 1 f? 3/136 Three letters picked without replacement from {u: 6, r: 2}. Give prob of picking 1 r and 2 u. 15/28 Two letters picked without replacement from {t: 1, q: 1, w: 1, k: 2, h: 1, z: 1}. What is prob of picking 2 k? 1/21 Two letters picked without replacement from gysyyyysyygygygvgsg. What is prob of picking 1 v and 1 y? 1/19 What is prob of picking 2 a when two letters picked without replacement from {r: 3, a: 3, j: 1}? 1/7 Four letters picked without replacement from lilllllljlllllllj. What is prob of picking 1 i and 3 l?
{ "pile_set_name": "DM Mathematics" }
termine a so that -2/5*a**3 - 1/5*a**2 + x + 2/5*a = 0. -1, -1/2, 1 Let t(y) = -y**3 + 4*y**2 + 4*y + 7. Let r be t(5). Suppose r*o - 2 = m, -3*o - 3*m - m = -14. Factor -2*n**2 - o*n + 2*n**4 + 2*n**3 + n**2 - n**2. 2*n*(n - 1)*(n + 1)**2 Let d(l) be the second derivative of 0 + 1/21*l**7 - 1/3*l**4 + 2*l - 1/5*l**5 + 1/15*l**6 + l**2 + 1/3*l**3. Suppose d(q) = 0. Calculate q. -1, 1 Let d(h) be the third derivative of -h**7/105 - h**6/30 - h**5/30 + 3*h**2. Let d(m) = 0. Calculate m. -1, 0 Let r(a) be the third derivative of -a**8/60480 - a**7/5040 - a**6/1080 - a**5/60 + 3*a**2. Let t(v) be the third derivative of r(v). Factor t(b). -(b + 1)*(b + 2)/3 Let h(a) be the third derivative of 0*a**5 + 0*a**3 + 0 - 7*a**2 - 1/180*a**6 + 1/36*a**4 + 0*a. What is o in h(o) = 0? -1, 0, 1 Let w = 32 + -28. Factor -16*f**4 - w*f**2 + 32/5*f**5 + 66/5*f**3 + 0 + 2/5*f. 2*f*(f - 1)**2*(4*f - 1)**2/5 Let h = 70 - 130. Let f be h/36*(-4)/10. Suppose 0 - 2/3*a**5 - 2*a**3 + 0*a + 2*a**4 + f*a**2 = 0. What is a? 0, 1 Let i(a) be the second derivative of a**4/4 + 5*a**3/2 + 9*a**2 - 14*a. Factor i(l). 3*(l + 2)*(l + 3) Factor 3/5 - 4/5*z**3 + 8/5*z**2 + 11/5*z. -(z - 3)*(2*z + 1)**2/5 Suppose -3*x + 0*x - 16 = -2*n, 4*n = -5*x - 12. Suppose 0 = -5*v - 3*r - 2 - 0, -v + n*r + 10 = 0. Determine b so that 1/2*b**v + 0*b - 1/2 = 0. -1, 1 Let x = 2 + 0. Let q be x/11 + 58/44. Factor -q*o**5 + 0*o + 4*o**4 + 0 - 7/2*o**3 + o**2. -o**2*(o - 1)**2*(3*o - 2)/2 Let v = -1 + 9. Let z = v - 6. Factor z*l + 1 + l**4 - 4*l**4 - 2*l**3 + 2*l**4. -(l - 1)*(l + 1)**3 Let y be (-1 - (-14)/8)*4/6. Let 1/2*p + 1/2*p**4 - y*p**3 - 3/2*p**2 + 1 = 0. Calculate p. -1, 1, 2 Let l(g) = -g**3 - 6*g**2 + 7*g + 5. Let a be l(-7). Let s(j) be the first derivative of 1/15*j**a + 3 + 0*j - 1/4*j**4 - 1/6*j**2 + 1/3*j**3. Factor s(n). n*(n - 1)**3/3 Let r(i) be the third derivative of i**8/47040 + i**7/3920 + i**6/840 + 2*i**5/15 - 4*i**2. Let z(w) be the third derivative of r(w). Find d such that z(d) = 0. -2, -1 Let w be (-6)/(-10) - 14/(-35). Let i be (-13 - -7)*w/(-21). Factor i*u**4 + 0*u**3 - 2/7*u**2 + 0 + 0*u. 2*u**2*(u - 1)*(u + 1)/7 Let u(g) be the third derivative of g**7/35 + g**6/30 - 2*g**5/15 - g**4/6 + g**3/3 + g**2. Factor u(l). 2*(l - 1)*(l + 1)**2*(3*l - 1) Let m(i) be the first derivative of -4*i**3/3 + 4*i - 3. Factor m(n). -4*(n - 1)*(n + 1) Let q(f) be the first derivative of f**8/6720 + f**7/840 + f**6/240 + f**5/120 + f**4/96 - 2*f**3/3 - 3. Let z(l) be the third derivative of q(l). Factor z(a). (a + 1)**4/4 Let t = -26 - -28. Let 9*q + 0*q**3 + 234*q**t - 6 - 234*q**2 - 3*q**3 = 0. Calculate q. -2, 1 Let d(f) be the first derivative of 1/4*f + 1/16*f**4 + 2 - 1/12*f**3 - 1/8*f**2. Find a, given that d(a) = 0. -1, 1 Let f(t) be the second derivative of -t**7/3780 - t**6/540 - t**5/180 + t**4/3 - 4*t. Let r(m) be the third derivative of f(m). Find h, given that r(h) = 0. -1 Let i(y) be the second derivative of -y**7/28 - y**6/20 + 3*y**5/20 - 7*y. Suppose i(k) = 0. Calculate k. -2, 0, 1 Let o be 1/(0 - 4/(-20)). Suppose 5*f = -o*g + 10, g - 5*f - 2 = -0*g. Determine r so that -2/11 + 4/11*r + 0*r**g - 4/11*r**3 + 2/11*r**4 = 0. -1, 1 Suppose 0 = -8*b + 4*b + 20. Suppose 0 = -3*i + b*i. Let 2/7*n**2 - 2/7 + i*n = 0. What is n? -1, 1 Let w = -2 - -14. Factor -6*a**3 - w*a + a**4 + 1 - 2*a**2 + 3 + 15*a**2. (a - 2)**2*(a - 1)**2 Factor -2/7*z**2 - 2/7 + 4/7*z. -2*(z - 1)**2/7 Let w(r) be the third derivative of 0*r**3 + 1/72*r**4 - 1/360*r**6 + 0 + 0*r + 1/630*r**7 + 4*r**2 - 1/180*r**5. Factor w(b). b*(b - 1)**2*(b + 1)/3 Let o be (-3)/12 + (-105)/(-196). Solve 2/7 + o*y**2 - 4/7*y = 0. 1 Let i(v) be the first derivative of -1/30*v**5 + 1/12*v**2 - 1/18*v**3 - 7/72*v**4 + 4*v - 1. Let x(q) be the first derivative of i(q). Factor x(n). -(n + 1)**2*(4*n - 1)/6 Let r(g) be the first derivative of -g**3/3 - 3*g**2/2 + 4*g + 48. Let r(t) = 0. Calculate t. -4, 1 Let m(
{ "pile_set_name": "DM Mathematics" }
-830, 1, 13 Suppose 2*s**2/19 - 8306*s/19 + 24900/19 = 0. Calculate s. 3, 4150 Factor -n**2/6 - 6283*n/6. -n*(n + 6283)/6 Suppose -z**4/6 - 1681*z**3/3 - 2805517*z**2/6 + 5671694*z - 17075814 = 0. What is z? -1687, 6 Factor -l**2/3 - 106*l/3 + 4247/3. -(l - 31)*(l + 137)/3 Determine k, given that -2*k**2/3 + 348*k - 8224/3 = 0. 8, 514 Determine z, given that -2*z**2 + 564276*z - 564274 = 0. 1, 282137 Suppose -3*q**3 + 225*q**2 + 1188*q + 960 = 0. Calculate q. -4, -1, 80 Solve -2*m**5/5 - 174*m**4/5 - 166*m**3/5 + 526*m**2/5 + 864*m/5 + 344/5 = 0 for m. -86, -1, 2 Determine h so that 2*h**5/9 + 14336*h**4/9 + 28666*h**3/9 + 14332*h**2/9 = 0. -7166, -1, 0 Factor -v**3/3 - 506*v**2/3 + 12745*v/3 + 13250/3. -(v - 25)*(v + 1)*(v + 530)/3 What is d in -2*d**4/21 + 764*d**3/21 - 430*d**2/3 - 5312*d/21 + 360 = 0? -2, 1, 5, 378 Solve 5*o**4 + 5*o**3 - 8250*o**2 - 34720*o + 2532320 = 0 for o. -28, 17, 38 Solve 16*n**3 - 228*n**2 + 440*n - 96 = 0 for n. 1/4, 2, 12 Let 2*v**5 - 62*v**4 + 172*v**3 - 112*v**2 = 0. What is v? 0, 1, 2, 28 Find j such that j**2/9 - 138486*j + 43151337441 = 0. 623187 Factor -5*j**3/4 + 276*j**2 - 4135*j/4 + 651. -(j - 217)*(j - 3)*(5*j - 4)/4 Factor -4*q**2 + 53544*q - 179184996. -4*(q - 6693)**2 Solve -o**5 + 598*o**4 - 119911*o**3 + 8187102*o**2 - 21993444*o - 597704184 = 0 for o. -7, 11, 198 Factor 3*g**3 - 786*g**2 + 16761*g - 64530. 3*(g - 239)*(g - 18)*(g - 5) Factor 3*i**3 + 609*i**2 + 16248*i + 43344. 3*(i + 3)*(i + 28)*(i + 172) Find p, given that -p**2/2 - 60671*p - 3680970241/2 = 0. -60671 Determine v so that -v**3/2 - 3921*v**2/2 + 11777*v - 15708 = 0. -3927, 2, 4 Let 2*y**5 - 10*y**4 - 1542*y**3 + 12106*y**2 - 10556*y = 0. What is y? -29, 0, 1, 7, 26 Suppose -4*t**5 - 348*t**4 - 5724*t**3 + 29788*t**2 + 15024*t - 129456 = 0. What is t? -62, -29, -2, 3 Solve 4*y**3/5 - 28224*y**2/5 + 28212*y/5 + 11288 = 0. -1, 2, 7055 Suppose -4*y**2 - 68396*y - 820176 = 0. Calculate y. -17087, -12 Factor d**2/3 - 29453*d/3 - 235688/3. (d - 29461)*(d + 8)/3 Find b, given that 2*b**4 - 248*b**3 + 1922*b**2 + 39972*b + 95760 = 0. -7, -3, 20, 114 Factor -4*p**3 + 992*p**2 - 980*p - 1976. -4*(p - 247)*(p - 2)*(p + 1) Solve 25*g**3 - 576990*g**2 + 3329059200*g + 1331716000 = 0 for g. -2/5, 11540 Let -5*q**5/4 - 277*q**4 + 44319*q**3/4 + 36755*q**2/2 + 2414*q - 4608 = 0. What is q? -256, -1, 2/5, 36 Determine w so that 63*w**4 - 11094*w**3 - 44052*w**2 - 41064*w + 4320 = 0. -2, 2/21, 180 Solve 4*v**5 + 52*v**4 - 516*v**3 + 860*v**2 - 400*v = 0 for v. -20, 0, 1, 5 Let -c**5 - 22*c**4 + 115*c**3 + 256*c**2 - 780*c = 0. What is c? -26, -3, 0, 2, 5 Factor 2*u**2 + 178*u. 2*u*(u + 89) Factor -5*d**2 - 139755*d - 139750. -5*(d + 1)*(d + 27950) Find v such that 4*v**3 + 28*v**2 - 2068*v + 14036 = 0. -29, 11 Determine c so that -2*c**3/11 + 170*c**2/11 - 4814*c/11 + 45414/11 = 0. 27, 29 Solve h**2/5 - 245754*h + 75493785645 = 0 for h. 614385 Factor r**4/2 + 27*r**3 - 171*r**2/2 - 13718*r + 41154. (r - 19)*(r - 3)*(r + 38)**2/2 Factor 2*g**2 - 774*g - 776. 2*(g - 388)*(g + 1) Determine d, given that 3*d**5 + 150*d**4 - 1737*d**3 + 3900*d**2 + 6900*d - 18000 = 0. -60, -2, 2, 5 Factor y**2/4 + 3775*y/2 + 14250625/4. (y + 3775)**2/4 Suppose 2*b**5 - 112*b**4 + 160*b**3 + 2932*b**2 + 4926*b + 2268 = 0. What is b? -3, -1, 7, 54 What is d in -3*d**3/4 + 69*d**2/2 + 696*d + 2976 = 0? -8, 62 Factor -2*c**2/9 + 939380*c/9 - 110304348050/9. -2*(c - 234845)**2/9 Let -f**5/8 - 25*f**4/8 - 25*f**3 - 70*f**2 - 48*f = 0. Calculate f. -12, -8, -4, -1, 0 Factor 3*t**4/4 - 6*t**3 + 9*t**2. 3*t**2*(t - 6)*(t - 2)/4 Factor -3*r**2/8 + 12339*r/8 + 61845/4. -3*(r - 4123)*(r + 10)/8 Factor -y**4/7 + 704*y**3 - 5214894*y**2/7 - 301453504*y - 183356096401/7. -(y - 2627)**2*(y + 163)**2/7 Factor 2*p**3 - 1080*p**2 - 5438*p - 6540. 2*(p - 545)*(p + 2)*(p + 3) Suppose 2*m**4/13 - 630*m**
{ "pile_set_name": "DM Mathematics" }
3 Evaluate (11/((-2178)/24))/(250/3750). -20/11 (218/(-1090))/(4/(-12)) 3/5 Evaluate (-205)/(-41)*10/(-7)*(-28)/(-4). -50 (((-928)/15)/4*504/(-336))/((-72)/180) -58 What is ((-33)/33)/(((-7)/(-329))/1)? -47 What is (3240/(-2835))/((-9)/(-7))? -8/9 What is (((-10)/12)/(6*36/(-1080)))/(9/108)? 50 (20/(-6)*590/75)/(54714/246213) -118 4*((-3939)/1212*(-20)/(-26))/((-8)/20) 25 Evaluate ((-455)/55)/((-2399)/26389). 91 What is the value of (30/5)/(51*9/187)? 22/9 Evaluate (66/(-4))/(((-5652)/(-3454))/(16/22)). -22/3 2/(-40)*-16*72/(-16) -18/5 Evaluate (17/((-285362)/231))/(39/26). -1/109 Evaluate ((-6)/(-126)*-24)/((-1032)/14). 2/129 Evaluate 69/(-16100)*7*12/((-6)/2). 3/25 (16/28)/(((-6900)/42)/23)*-10 4/5 What is 15/9*146/189800*156? 1/5 What is the value of 4/3*((-24360)/3248)/(5/(-12))? 24 What is the value of (4*20/(-56))/(67*126/561393)? -95 Calculate ((2/36*3)/(6/24))/(529/98394). 124 What is ((-2)/(-66))/((-52920)/48510)? -1/36 What is (-72*(-40)/(-128))/((-2)/((-32)/12))? -30 What is (319/87)/((-7)/(336/(-352)))? 1/2 What is ((-3656)/(-306190))/((-6)/15)? -2/67 Calculate (65250/84825)/((-16)/13). -5/8 (134946/(-43659))/(((-4)/3)/((-110)/(-135))) 17/9 What is 5031/(-78)*222/333? -43 ((-1)/(-4))/((-5540)/4986*27/96) -4/5 Evaluate (-476)/102*3*(-8)/(-4)*2/(-28). 2 (12*(-2)/(-32))/((-198189)/4332) -1/61 What is the value of (((-11)/(-165))/((-2)/(-402)))/((-147)/294)? -134/5 What is 4*(3/(-56))/(-3)*133*29/12122? 1/44 What is the value of (1/(-50)*-3)/(((-1)/(-18))/(209/(-1881)))? -3/25 Calculate (20/(-90))/1*(-360)/(-48). -5/3 Evaluate (10/((-6900)/90))/((-5)/(-10)*-2). 3/23 What is (-7003)/(-745)*(2/3)/((-8)/(-12))? 47/5 Evaluate (-1)/11*(-240)/((-1400)/(-35)). 6/11 What is the value of ((-5)/2)/(-5)*71982/837? 43 What is ((-102*(-18)/(-288))/(2/8))/((-216)/18)? 17/8 What is the value of (24/48*(-70)/14)/((-3)/(-108)*2)? -45 What is the value of (-19)/2394*18*-2? 2/7 ((-3)/(-12))/(180/(-1692)*(-2)/120*3) 47 What is ((-7)/((-126)/(-288)))/(7/315*-6*3)? 40 (-18720)/(-212940)*14/4 4/13 What is the value of (16/224*(-4)/6)/(18/(4698/319))? -3/77 Calculate ((-612)/1632)/((-7)/((-224)/(-6))). 2 ((-268)/3216)/(60/(-288)) 2/5 ((-4)/(-4))/(230/(-322))*3/(-105) 1/25 What is (-18)/33*35376/(-2144)? 9 ((28/63)/(12/9))/((-302)/(-13590)) 15 Calculate ((-420)/(-9450))/(256/(-288)). -1/20 Calculate (25/(-450)*12)/((-14)/(-15)). -5/7 Calculate (1*(-1)/(-4))/(((-4725)/(-1764))/(-5)). -7/15 Evaluate (-4260)/(-1136)*(-4)/(-3)*13. 65 (144452/(-4422))/((-7)/6) 28 (50*5/(-3575))/(-4*(-3)/(-264)) 20/13 What is 2/(30/5)*7050/125*10/(-4)? -47 Evaluate ((-160602)/(-1704))/((-26)/8). -29 Evaluate (16/(-90))/((-25304)/(-9489)). -1/15 Calculate 31/(-248)*(-808)/(-2121). -1/21 Calculate (5/(-212))/(((-100)/32)/5). 2/53 What is the value of ((-14)/(-3))/((-4)/30)*(-3612)/1290? 98 Evaluate (-3528)/(-84)*6/(-36)*4. -28 What is the value of (((-2)/(-145))/(12/15))/(20/2320*29)? 2/29 Evaluate ((171/(-228))/(6/(-16)))/(4/((-12)/(-63))). 2/21 What is the value of (13/5408*182)/(5/(-15)*(-3)/(-1))? -7/16 What is (-6)/(-6)*(-4)/(-1)*(-106)/(-1166)? 4/11 Calculate (160/90)/((-6248)/(-23004)). 72/11 Evaluate ((-8)/(-80)*4)/(64/10*(-109)/(-218)). 1/8 What is the value of (5/33*6)/((4/4)/((-15)/(-15)))? 10/11 Evaluate (-1130)/(-452)*2*35/(-14)*(-84)/10. 105 What is 37872/(-104148)*11/148? -1/37 (46/(-621)*4905/(-763))/(10/24) 8/7 What is the value of (2/(-4))/(-18*89/16554)? 31/6 (7/7)/(((-52)/(-1014))/((-6)/3)) -39 ((-136)/153)/(352/792) -2 Evaluate (8/(-1224)*-51)/((-2)/(-3)). 1/2 Evaluate ((4884/(-11))/12)/(5*(-7)/140*-4). -37 Evaluate 366/61*(-5)/405*(-3)/1. 2/9 Evaluate -4*3/(((-99)/(-6))/(-33)*12/4). 8 What is the value of 420/((2175/(-58))/(-5))? 56 Calculate 17/85*35/77. 1/11 ((-1)/17)/(((-266208)/(-1180))/376) -5/51 Calculate ((6/(-12))/(8/((-80)/5)))/(2/(-36)). -18 What is (3690/984)/((-66)/20*20/64*-4)? 10/11 (-27)/6*1*-2*(-1040)/(-585)*2 32 Calculate -24*(-4)/1288*(231/(-6))/(-11). 6/23 ((-216)/60)/(53/((-9540)/(-8))) -81 (2*(-560)/(-24))/((-34)/459*-9) 70 Calculate (6*(-1)/3)/((-31)/(620/(-112))). -5/14 Evaluate ((15/100)/((-338)/8112))/((-3)/20*-1). -24 Calculate -15*-12*(-35)/350. -18 What is the value of ((-70)/(-665))/((-46)/19228)? -44 Evaluate -5*(((-6)/5)/6)/(696/1824*19). 4/29 What is (-17*19/323*1)/(1/(-11))? 11 Evaluate ((5829/67)/(-957))/(-2). 1/22 What is the value of (-1*(-62)/(-24))/((((-44)/(-33))/4)/1)? -31/4 Calculate (-45)/(-24570)*-26*1. -1/21 What is the value of (30/3)/(14/((-40446)/(-535)))? 54 What is (((6/(-2))/3)/((-3552)/(-296)))/(6/135)? -15/8 Evaluate (-25)/(100/(-176)*2). 22 (474/(-1343))/(832/(-4352)) 24/13 Calculate 54/(-24)*(1*8)/(49/((-14014)/(-78))). -66 What is the value of (3/(-6
{ "pile_set_name": "DM Mathematics" }
. What is the third derivative of 2*d**6 + d**6 - 12*d**p + 4*d**6 wrt d? 840*d**3 Suppose -21*j = -117 + 33. Find the second derivative of -k**4 - 4*k + 3*k**4 - 2*k**3 + 1 - 8*k**j wrt k. -72*k**2 - 12*k Let h(t) = 12*t - 13. Let d be h(12). Differentiate 11*x + 32*x + 30 + x + d*x - 8 wrt x. 175 What is the derivative of -183*t - 665*t + 697 + 358 wrt t? -848 Let o(g) be the first derivative of 4*g**6/15 + g**5/5 + 27*g**2 - 79*g + 109. Let l(r) be the first derivative of o(r). Differentiate l(t) with respect to t. 32*t**3 + 12*t**2 Let t(h) = 15*h**2 - 8. Suppose 19 = 5*f - 1, -5*c - 5*f = 35. Let p(l) = -45*l**2 + 24. Let s(m) = c*t(m) - 4*p(m). What is the derivative of s(o) wrt o? 30*o Let z(i) = -9*i + 228. Let q be z(25). Differentiate 4*x**3 - 25*x**3 - 15*x**3 + 238*x**q + 92 wrt x. 606*x**2 Let t(x) = 365*x**3 + 3*x**2 - 3*x + 623. Let c(o) = 1096*o**3 + 10*o**2 - 10*o + 1877. Let g(d) = 3*c(d) - 10*t(d). Find the first derivative of g(u) wrt u. -1086*u**2 What is the second derivative of -362*b**4 + 340*b + 6 - 1 - 3 - 27*b**4 wrt b? -4668*b**2 Find the second derivative of -2144 + 454*x - 2015*x**3 - 119*x - 114*x - 111*x - 113*x wrt x. -12090*x Let g(z) = -43*z - 115. Let k(o) = 1. Let h be (10/(-6))/5*(-7 + 4). Let t(r) = h*g(r) - 5*k(r). What is the derivative of t(b) wrt b? -43 Let v(f) = 5021*f**6 - 56*f**2 - 2*f - 4. Let g(k) = -10042*k**6 + 112*k**2 + 5*k + 7. Let y(n) = -4*g(n) - 9*v(n). Find the third derivative of y(a) wrt a. -602520*a**3 Let s be 0 + 2 - 1 - 16/(-4). What is the second derivative of 47*y**5 + 21*y**s - 62*y - 43*y**5 wrt y? 500*y**3 Let m = 32 - 30. Suppose 0 = 3*g - 5*r - 2 - 5, -g + 1 = -3*r. Differentiate 12*u**2 - g*u**m + 12*u**2 - 5 with respect to u. 40*u Suppose 47*b = -39*b. Let z(a) be the first derivative of -13/5*a**5 + 29 + 0*a**3 + b*a**2 + 17*a + 0*a**4. What is the first derivative of z(x) wrt x? -52*x**3 Let u(h) = h - 1. Let i(y) = 33*y**3 + 48*y**2 + 3479*y + 3. Let z(t) = i(t) + 3*u(t). Find the second derivative of z(m) wrt m. 198*m + 96 Let j = -60 + 65. What is the first derivative of -47 - 24*s**3 + 6*s**2 + 12*s**3 - j*s**2 wrt s? -36*s**2 + 2*s Let m(j) be the second derivative of -5*j**6/3 - 4*j**3 - 774*j**2 + 1211*j. What is the first derivative of m(g) wrt g? -200*g**3 - 24 Let g(t) be the second derivative of -10089*t**5/20 + 3685*t**4/6 - 9433*t. Find the third derivative of g(i) wrt i. -60534 Let l(s) = -297*s**3 - 722*s**2 + 26*s. Let t(r) = -890*r**3 - 2165*r**2 + 91*r. Let c(m) = 7*l(m) - 2*t(m). What is the third derivative of c(b) wrt b? -1794 Let t(z) be the first derivative of -22*z**3 + 255*z**7 - 81 - 245*z**7 - 5. Find the third derivative of t(i) wrt i. 8400*i**3 Find the third derivative of 5*t + 3*t**4 + 10*t**2 + 137 + 17280*t**3 - 16871*t**3 + 2*t - 8*t + 5*t**4 wrt t. 192*t + 2454 Let s(a) = 2*a + 0*a - a - 2 - 5*a. Let w be s(-1). What is the third derivative of 5*p**4 - 20*p**4 + 40*p**2 - 50*p**w wrt p? -360*p Let u(j) = -j + 8. Let i be u(-6). Let q be (6/i*32)/((-1)/(-7)). What is the first derivative of -2*o**4 - 96*o**3 + 15 + 20*o**4 + q*o**3 wrt o? 72*o**3 Let x(j) be the first derivative of 34/3*j**6 + 36*j**2 + 0*j**3 - 31 - 2*j + 0*j**4 + 0*j**5. Find the second derivative of x(b) wrt b. 1360*b**3 Let u(f) = -f**3 + 44*f**2 - 34*f - 365. Let y be u(43). Let p(l) be the first derivative of -y*l - 27/2*l**2 + 34. What is the first derivative of p(b) wrt b? -27 Let h(b) be the third derivative of 5 + 11*b**2 + 0*b + 51/8*b**4 + 47/3*b**3. What is the first derivative of h(p) wrt p? 153 Find the third derivative of -72 - 187521*v - 2717*v**3 + 29*v**2 + 93757*v + 93764*v wrt v. -16302 Let v(c) be the second derivative of 34 + 1/5*c**6 + 1/12*c**4 + 0*c**5 - c + 1/6*c**3 + 21/2*c**2. What is the second derivative of v(h) wrt h? 72*h**2 + 2 Suppose -5*t - a + 130 = -0*a, -4*t + 125 = 5*a. What is the third derivative of -22 + 15 + h**2 + t + 38*h**4 wrt h? 912*h Let n(k) be the first derivative of -1477*k**4/2 - 6538*k + 4020. What is the first derivative of n(r) wrt r? -8862*r**2 Let l(i) be the third derivative of -i**6/120 - 237*i**5/20 - i**4/12 + 3507*i**3/2 - 55*i**2 + 4. Differentiate l(j) wrt j. -3*j**2 - 1422*j - 2 Suppose -4*h = -0*h - 8. Let i(j) = j**2 - 69*j + 205. Let q be i(3). What is the third derivative of -17*r**h + 3*r**5 - 10*r**6 + q*r**5 - 10*r**5 wrt r
{ "pile_set_name": "DM Mathematics" }
there between 10:52 AM and 8:08 PM? 556 How many minutes are there between 7:36 PM and 5:09 AM? 573 What is 345 minutes before 11:02 AM? 5:17 AM What is 6 minutes after 5:40 AM? 5:46 AM What is 355 minutes after 1:28 PM? 7:23 PM What is 688 minutes before 7:55 AM? 8:27 PM How many minutes are there between 1:16 PM and 8:49 PM? 453 How many minutes are there between 12:46 AM and 5:16 AM? 270 What is 305 minutes before 11:08 PM? 6:03 PM How many minutes are there between 1:42 AM and 1:12 PM? 690 What is 702 minutes before 6:43 AM? 7:01 PM What is 691 minutes after 2:01 PM? 1:32 AM What is 115 minutes before 11:32 PM? 9:37 PM What is 353 minutes before 9:16 PM? 3:23 PM What is 591 minutes after 9:48 PM? 7:39 AM What is 468 minutes after 1:59 PM? 9:47 PM What is 612 minutes before 6:34 PM? 8:22 AM How many minutes are there between 10:26 PM and 2:50 AM? 264 What is 71 minutes before 4:36 PM? 3:25 PM How many minutes are there between 1:43 PM and 10:50 PM? 547 What is 139 minutes before 12:14 PM? 9:55 AM What is 501 minutes before 2:09 AM? 5:48 PM What is 665 minutes before 10:22 AM? 11:17 PM How many minutes are there between 12:07 PM and 7:40 PM? 453 What is 175 minutes before 11:53 AM? 8:58 AM How many minutes are there between 5:14 PM and 3:03 AM? 589 How many minutes are there between 9:40 PM and 4:28 AM? 408 What is 107 minutes before 11:57 PM? 10:10 PM What is 367 minutes after 1:44 PM? 7:51 PM How many minutes are there between 12:50 AM and 12:23 PM? 693 How many minutes are there between 6:02 AM and 11:25 AM? 323 How many minutes are there between 7:55 PM and 5:13 AM? 558 What is 596 minutes before 8:52 PM? 10:56 AM What is 293 minutes before 1:02 AM? 8:09 PM What is 557 minutes after 1:23 AM? 10:40 AM What is 706 minutes after 6:34 AM? 6:20 PM How many minutes are there between 5:35 PM and 6:17 PM? 42 How many minutes are there between 6:00 AM and 6:40 AM? 40 What is 98 minutes after 5:38 PM? 7:16 PM How many minutes are there between 7:01 PM and 2:25 AM? 444 How many minutes are there between 12:07 PM and 10:50 PM? 643 What is 373 minutes after 11:21 AM? 5:34 PM How many minutes are there between 1:36 AM and 10:49 AM? 553 How many minutes are there between 9:25 PM and 2:02 AM? 277 How many minutes are there between 7:42 PM and 12:31 AM? 289 How many minutes are there between 10:52 AM and 10:02 PM? 670 What is 480 minutes after 12:34 PM? 8:34 PM What is 127 minutes before 4:10 PM? 2:03 PM How many minutes are there between 5:38 PM and 7:45 PM? 127 How many minutes are there between 10:32 AM and 1:37 PM? 185 What is 165 minutes before 11:06 PM? 8:21 PM What is 576 minutes before 5:19 AM? 7:43 PM How many minutes are there between 9:21 AM and 6:01 PM? 520 How many minutes are there between 10:03 AM and 3:35 PM? 332 How many minutes are there between 10:59 PM and 5:39 AM? 400 How many minutes are there between 2:07 PM and 7:31 PM? 324 What is 457 minutes before 7:09 AM? 11:32 PM What is 10 minutes before 10:59 PM? 10:49 PM What is 419 minutes after 2:57 PM? 9:56 PM What is 139 minutes before 12:14 PM? 9:55 AM What is 685 minutes after 12:04 AM? 11:29 AM How many minutes are there between 10:31 AM and 8:59 PM? 628 What is 480 minutes after 11:07 PM? 7:07 AM How many minutes are there between 12:19 AM and 12:52 AM? 33 What is 52 minutes before 10:15 PM? 9:23 PM What is 581 minutes after 10:20 PM? 8:01 AM How many minutes are there between 1:29 PM and 7:57 PM? 388 What is 706 minutes before 4:49 AM? 5:03 PM What is 231 minutes after 5:14 AM? 9:05 AM How many minutes are there between 12:48 PM and 9:51 PM? 543 How many minutes are there between 5:34 AM and 8:25 AM? 171 How many minutes are there between 8:43 AM and 1:26 PM? 283 What is 279 minutes before 5:34 AM? 12:55 AM What is 76 minutes before 10:06 PM? 8:50 PM What is 703 minutes after 7:02 PM? 6:45 AM How many minutes are there between 3:07 PM and 12:26 AM? 559 What is 538 minutes after 9:48 PM? 6:46 AM What is 320 minutes after 11:07 PM? 4:27 AM What is 714 minutes before 9:40 AM? 9:46 PM How many minutes are there between 3:30 PM and 10:54 PM? 444 What is 33 minutes before 10:31 PM? 9:58 PM How many minutes are there between 12:31 PM and 1:12 PM? 41 How many minutes are there between 8:24 AM and 1:03 PM? 279 What is 111 minutes after 9:12 AM? 11:03 AM What is 457 minutes before 9:47 AM? 2:10 AM What is 126 minutes before 10:15 PM? 8:09 PM What is 404 minutes after 6:28 PM? 1:12 AM What is 251 minutes after 11:57 AM? 4:08 PM How many minutes are there between 5:33 PM and 9:37 PM? 244 How many minutes are there between 10:30 AM and 4:23 PM? 353 How many minutes are there between 9:46 PM and 6:32 AM? 526 What is 681 minutes after 3:35 AM? 2:56 PM How many minutes are there between 5:41 AM and 7:28 AM? 107 What is 366 minutes before 8:49 PM? 2:43 PM How many minutes are there between 12:16 AM and 8:50 AM? 514 What is 328 minutes after 2:56 AM? 8:24 AM How many minutes are there between 4:28 AM and 5:01 AM? 33 What is 418 minutes before 3:54 PM? 8:56 AM How many minutes are there between 3:05 PM and 11:30 PM? 505 What is 371 minutes before 8:41 AM? 2:30 AM How many minutes are there between 12:43 PM and 11:29 PM? 646 What is 470 minutes before 4:20 PM? 8:30 AM How many minutes are there between 8:03 PM and 11:04 PM? 181 What is 237 minutes before 1:17 AM? 9:20 PM What is 39 minutes before 11:45 PM? 11:06 PM What is 11 minutes before 9:23 PM? 9:12 PM What is 618 minutes after 5:48 AM? 4:06 PM How many minutes are there between 2:53 AM and 2:08 PM? 675 How many minutes are there between 11:20 PM and 10:23 AM? 663 What is 547 minutes before 7:36 AM? 10:29 PM What is 249 minutes after 3:47 PM? 7:56 PM How many minutes are there between 4:35 PM and 2:05 AM? 570 What is 693 minutes before 4:12 PM? 4:39 AM How many minutes are there between 11:35 AM and 7:37 PM? 482 What is 110 minutes before 8:31 PM? 6:41 PM How many minutes are there between 12:19 PM and 9:52 PM? 573 What is 270 minutes before 6:45 AM? 2:15 AM How many minutes are there between 8:12 PM and 10:41 PM?
{ "pile_set_name": "DM Mathematics" }
*b = 4*b + 2 for b. 2 Solve -53*y + 24*y = 261 for y. -9 Solve 0 = 148*o - 150*o + 2 for o. 1 Solve -30*v = -4*v for v. 0 Solve 16*s - 80 = -32 for s. 3 Solve -15*p = 847 - 892 for p. 3 Solve 18 + 14 = 8*a for a. 4 Solve -10*q = q - 33 for q. 3 Solve 0 = -8*d - 2 + 10 for d. 1 Solve -66*y - 21 = -69*y for y. 7 Solve 108 = -1807*b + 1819*b for b. 9 Solve 0 = -91*s + 96*s + 25 for s. -5 Solve 71 - 27 = 11*t for t. 4 Solve -4*b + 0*b + 12 = 0 for b. 3 Solve 0 = 227*j - 178*j + 245 for j. -5 Solve 0 = -26*g + 10*g - 128 for g. -8 Solve -29*n + 36*n + 21 = 0 for n. -3 Solve -36*f = -4*f - 64 for f. 2 Solve -64*q + 52*q = -12 for q. 1 Solve 3*q - 19 = -28 for q. -3 Solve 86 = -57*k - 28 for k. -2 Solve 64*h + 8*h = -360 for h. -5 Solve -32*y = -72*y for y. 0 Solve 4 - 1 = h for h. 3 Solve 8*f = -8173 + 8237 for f. 8 Solve 2 = -4*h + 6 for h. 1 Solve 4*k + 40 = 12*k for k. 5 Solve -51 - 233 = -71*a for a. 4 Solve 32 = -14*s + 18 for s. -1 Solve -8*g + 51*g + 43 = 0 for g. -1 Solve 336 = 13*z + 35*z for z. 7 Solve -q + 42 = 20*q for q. 2 Solve -20*w = 5*w + 125 for w. -5 Solve 0 = -6*o - 6*o + 36 for o. 3 Solve -m = 11 - 9 for m. -2 Solve -4*z + 3*z = z for z. 0 Solve -585 = -229*z + 164*z for z. 9 Solve -19*j = 1 + 75 for j. -4 Solve 79*c = -7*c for c. 0 Solve -178*s = -130*s + 480 for s. -10 Solve 6*k = -25 - 5 for k. -5 Solve 84 = -3*p - 25*p for p. -3 Solve -3*x - 30 = -9*x for x. 5 Solve -57*r + 25 = -52*r for r. 5 Solve -49*w = -56*w - 14 for w. -2 Solve 70*w - 145 = 99*w for w. -5 Solve 51 = -14*f - 3*f for f. -3 Solve 22 - 28 = 3*c for c. -2 Solve 12*o - 24 = 6*o for o. 4 Solve -146 = -18*f + 91*f for f. -2 Solve 2*w - 45 = -37 for w. 4 Solve -45*s - 237 = -12 for s. -5 Solve 19*m - 4 = 23*m for m. -1 Solve 156*y - 128*y - 224 = 0 for y. 8 Solve 3*u = -115 + 124 for u. 3 Solve -78*s = -100*s for s. 0 Solve -2*q = 6686 - 6700 for q. 7 Solve 0 = 2*i - 2 + 10 for i. -4 Solve -30*h = 30 + 180 for h. -7 Solve -60 = 10*j - 0*j for j. -6 Solve 3*b + 39 = 42 for b. 1 Solve 27 = -20*w + 11*w for w. -3 Solve 3*q - 153 = -14*q for q. 9 Solve -45 = -21*l + 30*l for l. -5 Solve x = x - x for x. 0 Solve 0 = -1216*l + 1179*l - 296 for l. -8 Solve 10*k = 7*k - 6 for k. -2 Solve -500*g + 22 = -511*g for g. -2 Solve -43*t + 10 = -45*t for t. -5 Solve -223 = -37*h - 260 for h. -1 Solve -133*v + 68 = -150*v for v. -4 Solve -14*v = 3*v + 17 for v. -1 Solve 13*k + 318 = 266 for k. -4 Solve 49*d - 60*d + 11 = 0 for d. 1 Solve 6 = 96*k - 98*k for k. -3 Solve -11*b - 27 + 104 = 0 for b. 7 Solve -h + 12*h - 77 = 0 for h. 7 Solve -18*o + 11*o = -7 for o. 1 Solve 9*h = -8 + 8 for h. 0 Solve 2 = -4*b - 6 for b. -2 Solve 45 = 9*i + 6*i for i. 3 Solve 10 - 18 = 8*k for k. -1 Solve 14*t + 78 = 40*t for t. 3 Solve -5 + 5 = -9*d for d. 0 Solve -16*z - 79 + 15 = 0 for z. -4 Solve 1 = 96*k + 1 for k. 0 Solve 13*w = -18 - 86 for w. -8 Solve 29*d + 8*d = 0 for d. 0 Solve -34*f - 169 = 103 for f. -8 Solve -8*a = -6*a + 4 for a. -2 Solve 0 = 20*o - 24*o + 12 for o. 3 Solve 23*t - 80 = 104 for t. 8 Solve -4*r + 131 - 107 = 0 for r. 6 Solve 11*w + 5069 - 5146 = 0 for w. 7 Solve 0 = -27*g - 18*g + 225 for g. 5 Solve -47 = g - 50 for g. 3 Solve b + 9 - 4 = 0 for b. -5 Solve -7*c - 1072 = -1037 for c. -5 Solve -9*r - 50 = r for r. -5 Solve 0 = -137*j + 114*j - 69 for j. -3 Solve a - 4 = -6 for a. -2 Solve -123*p + 151 = 28 for p. 1 Solve 1705 = -5*m + 1745 for m. 8 Solve -5*b + 4 = -11 for b. 3 Solve 26 - 28 = 2*k for k. -1 Solve -19*y + 10 = -17*y for y. 5 Solve 0 = -6*u + 1 + 29 for u. 5 Solve 3*c - 124 = -136 for c. -4 Solve 0 = -99*v + 337 - 1228 for v. -9 Solve 11*a - 6 = 5 for a. 1 Solve 12*a - 16*a = 24 for a. -6 Solve -3*o + 4*o - 1 = 0 for o. 1 Solve -26*c + 102 = -28 for c. 5 Solve -3*w = -18*w + 30 for w. 2 Solve -3*q = -21*q + 126 for q. 7 Solve 41*v = 36*v - 25 for v. -5 Solve 0 = -12*v - 52 - 20 for v. -6 Solve -4*h + 25*h = 42 for h. 2 Solve 46 = 7*v + 18 for v. 4 Solve 201*y = 219*y for y. 0 Solve 40 = -58*c + 48*c for c. -4 Solve 188*y - 192*y - 16 = 0
{ "pile_set_name": "DM Mathematics" }
of h(j) wrt j? 5712*j Let v(c) be the third derivative of -19*c**6/3 - 15*c**4/8 - 374*c**2. What is the second derivative of v(x) wrt x? -4560*x Let n = 7 - 2. Find the third derivative of g**4 - 3*g**4 - 2*g**4 - n*g**2 + 9*g**2 wrt g. -96*g Let p(m) be the third derivative of -23*m**7/105 + 46*m**3 - 250*m**2. What is the derivative of p(g) wrt g? -184*g**3 Let f = 5 + -1. What is the third derivative of -41 - 7*i**2 - 43 - 5*i**f + 84 wrt i? -120*i Let m(f) be the first derivative of f**4/2 - 32*f**3/3 - 153*f**2 - f - 975. Find the second derivative of m(q) wrt q. 12*q - 64 Let d(v) = -2*v**3 - 4*v**2 + v - 1. Let r(t) = 951*t**3 + 12*t**2 - 3*t - 457. Let o(x) = 3*d(x) + r(x). What is the first derivative of o(n) wrt n? 2835*n**2 Let c(m) be the first derivative of 8 + 3 - 6*m**2 + 1 - 5*m - 1. What is the first derivative of c(t) wrt t? -12 Let f(l) be the first derivative of -10 - 11/3*l**3 + 3/2*l**2 + 2*l. Find the second derivative of f(p) wrt p. -22 What is the first derivative of -85*p - 7 - 12 + 5 - 1 wrt p? -85 Let g = -259 + 259. Let d(c) be the first derivative of 0*c**3 + g*c**2 - 3/2*c**4 - 5*c - 4. What is the derivative of d(w) wrt w? -18*w**2 Suppose -1 = t - 4. Let l be 1/t*-2*-3. What is the second derivative of -4*i**2 + 2*i - l*i - 5*i + 0*i wrt i? -8 Let u(w) = 2*w + 4. Let p be u(9). Suppose 7*i = 5*i + p. Find the third derivative of -4*j**2 - 4*j**4 + j**2 + i*j**4 wrt j. 168*j Let u be 25/(-5 + (-120)/(-16)). Let y(v) = 2*v**2. Let r be y(-1). Find the second derivative of 0*x**r - u*x**2 + 9*x**2 - 11*x + 15*x**2 wrt x. 28 Find the second derivative of -43*q**3 + 0*q + 6*q**2 + 60*q**3 - 5*q**2 + 113*q**3 - 61*q wrt q. 780*q + 2 Let z(c) be the first derivative of 0*c**4 + 5/2*c**2 - 12/5*c**5 + 2 + 0*c + 0*c**3. Find the second derivative of z(h) wrt h. -144*h**2 Let b(a) = -85*a + 155. Let z(i) = -171*i + 311. Let w(t) = -5*b(t) + 3*z(t). Differentiate w(p) with respect to p. -88 Let v = 29 - 45. Let i = -14 - v. Find the third derivative of 240*f**3 - 240*f**3 + i*f**2 - 8*f**6 wrt f. -960*f**3 Let y(g) be the second derivative of -149*g**4/4 + 337*g**2/2 - 70*g. What is the first derivative of y(z) wrt z? -894*z Let s = -21 + 21. Let g(c) = s - 3 - 9 + 4*c. Let m(p) = 9*p - 23. Let f(d) = 11*g(d) - 6*m(d). Differentiate f(v) with respect to v. -10 Find the second derivative of 124*s - 4*s**5 - 231595*s**2 - 42*s**4 + 231595*s**2 wrt s. -80*s**3 - 504*s**2 What is the derivative of 86 + 18*v - 67 - 35 + 149 wrt v? 18 Let o(k) be the second derivative of k**7/42 - 27*k**5/20 - 9*k**3 - 3*k + 2. Find the second derivative of o(f) wrt f. 20*f**3 - 162*f Let a = 38 - 33. What is the second derivative of -12*c**4 + 26*c + 6*c**4 + a*c**4 wrt c? -12*c**2 Let f(t) be the second derivative of -t**6/90 - t**5/30 - t**4/4 + 5*t. Let c(u) be the third derivative of f(u). Find the first derivative of c(v) wrt v. -8 Let i(q) be the first derivative of 2 + 9/4*q**4 + 18*q**2 + 0*q + 0*q**3. What is the second derivative of i(g) wrt g? 54*g Let u be 4 - 2 - 4*(-2)/4. Differentiate 20 + 1 - u + 13 - 30*a with respect to a. -30 Let i be (-10)/4*(-28)/35. What is the second derivative of 2*g + i*g - 14*g**2 - 6*g wrt g? -28 Let d(q) be the third derivative of -29*q**5/60 - 7*q**4/12 + 16*q**2 + 3. Find the second derivative of d(f) wrt f. -58 Let v(y) be the third derivative of 617*y**4/24 - 316*y**3/3 + 89*y**2 + 2. What is the first derivative of v(q) wrt q? 617 What is the third derivative of 4 + 70*f**6 + 56*f**2 + 12 - 7 - 11 wrt f? 8400*f**3 Suppose -d + 2*o = 0, 3*d = -0*d + 5*o + 1. Differentiate -2 - d + 21*h**2 + 8 - 2*h**2 wrt h. 38*h Let h(p) = -p**3 - 11*p**2 + 13*p + 14. Let z be h(-12). Let s = z + 0. What is the third derivative of 10*y**s + y**3 - 7*y**2 + 6*y**2 wrt y? 6 Let u be 32/6*6/8. Find the second derivative of 4*y - 13*y - 7*y**u + 4*y wrt y. -84*y**2 Differentiate -20*v**4 + 9*v**4 - 7*v**4 + 115 + 35 wrt v. -72*v**3 Let m be -1 - (1 + (-4 - -1)). Suppose r = -5*s + 13, -2*r = 5*s - 15 - m. What is the third derivative of 6*z**2 + 9*z**r + 0*z**2 + z**2 - 12*z**3 wrt z? -18 Let y be 2*-1 + -7*6/(-21). Let h(i) be the first derivative of y*i**3 - 2/5*i**5 - 1/2*i**2 - 5 + 0*i**4 + 0*i. Find the second derivative of h(o) wrt o. -24*o**2 Let r(b) be the first derivative of 11*b**4/4 - b**3/3 - 2*b**2 - 27. Find the third derivative of r(a) wrt a. 66 Let d(n) = 10*n**6 - 4*n**5 + 27*n**3 - 676*n**2 + 12*n. Let r(j) = -j**5 + 3*j. Let m(i) = -d(i) + 4*r(i
{ "pile_set_name": "DM Mathematics" }
v. 4 Solve 18*d - 132 + 24 = 0 for d. 6 Solve -3*p = -5*p for p. 0 Solve 6*q = -44 + 68 for q. 4 Solve 29 = -69*c - 40 for c. -1 Solve 5*l + 198 = 223 for l. 5 Solve c - 1813 + 1812 = 0 for c. 1 Solve 0 = -7*x + 2 + 5 for x. 1 Solve -10*w + 15 = -5 for w. 2 Solve 3*y - 7*y = 0 for y. 0 Solve -4*l - 5 = -9 for l. 1 Solve -25*d + 182 = d for d. 7 Solve 79*v - 188 - 128 = 0 for v. 4 Solve -214*k + 220*k - 24 = 0 for k. 4 Solve -20 = 36*q - 40*q for q. 5 Solve 40 = -83*v + 91*v for v. 5 Solve 8*k = -36 + 52 for k. 2 Solve 9*p + 10 = 4*p for p. -2 Solve -17*j - 52 = 9*j for j. -2 Solve 0*r - 30 = -6*r for r. 5 Solve 3463*v - 3459*v - 24 = 0 for v. 6 Solve 11*o - 10 = 1 for o. 1 Solve l = -4 - 5 for l. -9 Solve 0 = -8*k + 9*k + 2 for k. -2 Solve -29*q + 15 = -26*q for q. 5 Solve -5 = -h - 6 for h. -1 Solve -32*j = -27*j - 25 for j. 5 Solve 21*h + 12 + 9 = 0 for h. -1 Solve -18 = 16*r + 30 for r. -3 Solve -4*i = -8*i - 4 for i. -1 Solve 0 = -5*j + 198 - 208 for j. -2 Solve 9*b = -32*b + 11*b for b. 0 Solve 10*p = -8*p for p. 0 Solve -s + 19*s + 126 = 0 for s. -7 Solve 35 = 33*r - 40*r for r. -5 Solve 2*v + 2495 = 2489 for v. -3 Solve 4*z + 25*z + 203 = 0 for z. -7 Solve 20*b = -3 - 77 for b. -4 Solve 150 = 36*n + 14*n for n. 3 Solve 0 = -219*y + 252*y - 297 for y. 9 Solve 0 = 13*y + 12 + 27 for y. -3 Solve 14 = 4*b - 6*b for b. -7 Solve 60 = -11*f - 6 for f. -6 Solve -19*m = 21*m - 42*m for m. 0 Solve 19*s + 17 = 74 for s. 3 Solve -12*s + 21*s + 18 = 0 for s. -2 Solve 1092*g + 24 = 1086*g for g. -4 Solve -27*l = 45*l + 432 for l. -6 Solve 0 = 8*h + 105 - 97 for h. -1 Solve 97*p - 4 = 93*p for p. 1 Solve 297 = 15*y + 207 for y. 6 Solve -42*o + 66 - 24 = 0 for o. 1 Solve 23*t - 32*t = 18 for t. -2 Solve -78 = -11*s + 37*s for s. -3 Solve 3 = 6*c + 27 for c. -4 Solve -253*r = -263*r + 50 for r. 5 Solve 6*g - 3 + 33 = 0 for g. -5 Solve 199 = -16*p + 71 for p. -8 Solve 3*y = 330 - 333 for y. -1 Solve 46*v + 45*v + 91 = 0 for v. -1 Solve t + 9 = 4*t for t. 3 Solve 60*y + 23*y = 747 for y. 9 Solve -162 = -50*a + 23*a for a. 6 Solve -49*r = -38*r + 66 for r. -6 Solve -11*q + 27 + 17 = 0 for q. 4 Solve 3*j = 7*j - 7*j for j. 0 Solve 330*n - 6 = 324*n for n. 1 Solve 20*i + 39*i = -118 for i. -2 Solve 49 = -9*l + 58 for l. 1 Solve -7*l + 28 = 7 for l. 3 Solve 39 = 24*n - 33 for n. 3 Solve 0 = 589*h - 577*h - 72 for h. 6 Solve 49*s = -28*s + 308 for s. 4 Solve 32*n = 1575 - 1575 for n. 0 Solve 0 = 7*w + 53 - 25 for w. -4 Solve 5*j + 32 = -3*j for j. -4 Solve -51*r = -8 + 59 for r. -1 Solve 6*q - 10 = -4*q for q. 1 Solve -55 + 151 = -16*a for a. -6 Solve 0 = 6*m - 330 + 294 for m. 6 Solve -50*c - 63 = -41*c for c. -7 Solve -3*f + f = 2 for f. -1 Solve -54 - 58 = -28*p for p. 4 Solve 0*w = -8*w - 24 for w. -3 Solve -33*q + 28*q = -45 for q. 9 Solve 619 = 138*y - 761 for y. 10 Solve -5*t - 17 = 8 for t. -5 Solve 64*z = 60*z + 24 for z. 6 Solve -3 + 5 = n for n. 2 Solve 0 = 4*a - 134 + 126 for a. 2 Solve 6*l = 1 - 19 for l. -3 Solve 15*k = 6 + 9 for k. 1 Solve -343*v = -334*v - 9 for v. 1 Solve 0 = -9*u - 10*u + 171 for u. 9 Solve 81 = -355*z + 346*z for z. -9 Solve 63*k - 6*k = 171 for k. 3 Solve 2*r + 2 = 10 for r. 4 Solve -220*t - 28 = -213*t for t. -4 Solve 0 = -0*h + 2*h - 0*h for h. 0 Solve 10*k = -20 - 0 for k. -2 Solve -25*g + 12*g + 65 = 0 for g. 5 Solve 0 = -19*i + 18*i - 4 for i. -4 Solve 2*f - 73 = -65 for f. 4 Solve -2 = -7*l + 26 for l. 4 Solve 511 = -45*p + 151 for p. -8 Solve -14*t = t - 30 for t. 2 Solve 295*j = 262*j + 99 for j. 3 Solve -11 = 13*y + 54 for y. -5 Solve -9*q - 26 = -8 for q. -2 Solve 2*l = -18 + 8 for l. -5 Solve -27*l - 21 = 60 for l. -3 Solve -4*d + 10*d = -12 for d. -2 Solve -656*f = -665*f + 18 for f. 2 Solve m - 34 + 29 = 0 for m. 5 Solve -p - 3*p - 8 = 0 for p. -2 Solve 37*f - 31*f - 12 = 0 for f. 2 Solve 501 - 496 = -5*c for c. -1 Solve -839*l + 869*l = -210 for l. -7 Solve 93*o = 92*o for o. 0 Solve -18*c + 9*c = 9 for c. -1 Solve 5*c = 16*c + 33 for c. -3 Solve -6*g = -4*g - 10 for g. 5 Solve 41 - 171 = 26*
{ "pile_set_name": "DM Mathematics" }
base 13, what is -179 - 3c6aa? -3c856 In base 6, what is -412441 + 140? -412301 In base 5, what is 2342 - -13034440? 13042332 In base 6, what is 10051454 + -11? 10051443 In base 13, what is 0 + 18102b7? 18102b7 In base 13, what is -4 - -293a9a? 293a96 In base 11, what is 17254a94 - -9? 17254aa2 In base 15, what is -11de8 + 30? -11db8 In base 2, what is -101 - -101010010010111100100? 101010010010111011111 In base 3, what is -120 - 1220001212001? -1220001212121 In base 6, what is -10353 + 11043444? 11033051 In base 16, what is -39 - 45225? -4525e In base 11, what is 9487 + 13393? 2186a In base 3, what is -10 - 1222002022021? -1222002022101 In base 4, what is 100130333 + -111311? 100013022 In base 2, what is 11111001010001 - 1001111010? 11101111010111 In base 6, what is 23022133 + 45? 23022222 In base 10, what is -1515346123 + 4? -1515346119 In base 8, what is 413 - -4321? 4734 In base 9, what is -5 + 537848725? 537848720 In base 12, what is -143a12 - -227? -1437a7 In base 4, what is -22212 - -223232? 201020 In base 15, what is -6 + 18e63bb? 18e63b5 In base 4, what is -2103333020310 + -3? -2103333020313 In base 14, what is -4bd4c - -4d2? -4b85a In base 4, what is -11 - -1103301010323? 1103301010312 In base 3, what is -1 + 11111101021022201? 11111101021022200 In base 6, what is 21013433540 - 1? 21013433535 In base 5, what is -21320 - -21000? -320 In base 2, what is 1000 - -11100001101100000100000? 11100001101100000101000 In base 12, what is -2b762 + -1225? -30987 In base 7, what is -6205 + 1643623? 1634415 In base 7, what is -30 + 2063106? 2063046 In base 13, what is -2 + 236331? 23632c In base 2, what is -10101011001101010111 + 10001110001? -10101010111011100110 In base 5, what is -204210 + 110? -204100 In base 16, what is -8 + -47c0a? -47c12 In base 8, what is 74450035 - 4? 74450031 In base 14, what is 33dc5746 + 2? 33dc5748 In base 2, what is -10101010110111110011000 + 101? -10101010110111110010011 In base 3, what is -2100 - 1110012110020? -1110012112120 In base 7, what is 633 - 52132? -51166 In base 10, what is -98394 - 1476? -99870 In base 5, what is 4233422124 + -1? 4233422123 In base 16, what is -157db - 15? -157f0 In base 2, what is 100001 - -11011010000011011? 11011010000111100 In base 9, what is -27050228 - -4? -27050224 In base 5, what is -4 + 312441303? 312441244 In base 8, what is -122 + 12577336? 12577214 In base 12, what is -35 + 2769337? 2769302 In base 10, what is 0 + -30692247? -30692247 In base 2, what is 1000110001000 + -1100100100000010? -1011011101111010 In base 9, what is -24707245 + 5? -24707240 In base 16, what is 4 - 124f30? -124f2c In base 16, what is 249a + -a92? 1a08 In base 6, what is 2 - 44031125404? -44031125402 In base 4, what is -20213112 + -2310? -20222022 In base 2, what is -111010001 - 11000001111111010? -11000010111001011 In base 11, what is a2228 + 346? a2573 In base 2, what is 11 + 100010110000101101111? 100010110000101110010 In base 6, what is 4 + -155135521? -155135513 In base 5, what is -12043300 + -12134? -12110434 In base 16, what is 3 - -5ba2869? 5ba286c In base 13, what is -1 + -164a6a2? -164a6a3 In base 8, what is 126 + 3631222? 3631350 In base 3, what is 120122012 - 100211121? 12210121 In base 8, what is 0 - 57575615? -57575615 In base 8, what is 24 - 2122154? -2122130 In base 2, what is 1010101111010010010010100 + -1010? 1010101111010010010001010 In base 12, what is -6 + 1925846? 1925840 In base 8, what is -56221 - -77? -56122 In base 9, what is 15 + 234331? 234346 In base 12, what is 2b333 - -111? 2b444 In base 2, what is -10011100010111100 - 1111111000? -10011110010110100 In base 4, what is -123033122031 + -32? -123033122123 In base 10, what is 172137 - 385? 171752 In base 15, what is -43ee + -c0? -44be In base 13, what is 164868 - c? 164859 In base 10, what is -81 + -1068183? -1068264 In base 8, what is 22107 + -1006? 21101 In base 8, what is -373500 - -6? -373472 In base 2, what is -1000101101111 - 1011110000001? -10100011110000 In base 7, what is 262533 - 221? 262312 In base 7, what is 1162065 + -63? 1162002 In base 7, what is -203535504 - 25? -203535532 In base 3, what is 111022112 + -1102122? 102212220 In base 12, what is -6438410 - 22? -6438432 In base 6, what is 23 + 50421413? 50421440 In base 10, what is 1776989 - -241? 1777230 In base 12, what is -3810039b - -8? -38100393 In base 14, what is 10c4 - 370c? -2628 In base 10, what is -3747 - -90? -3657 In base 9, what is 215868 + 1030? 217008 In base 5, what is -141124 + -1321? -143000 In base 4, what is 13030303332102 - -11? 13030303332113 In base 13, what is -a + 743b08c? 743b082 In base 13, what is -39 - -5ca26? 5c9ba In base 15, what is 6e8e - a666? -36c7 In base 13, what is 40 - 120b6b? -120b2b In base 5, what is -10 - -42442030110? 42442030100 In base 14, what is -11 - 87a3dc? -87a40
{ "pile_set_name": "DM Mathematics" }
0 Let u = 33732 + -33732.8173. What is u rounded to 2 dps? -0.82 Let y = 432524 - 433552.038. Let h = y + 1029. Round h to 2 dps. 0.96 Let h = 11.92630671 - 11.869307. Let p = -0.903 - -0.96. Let q = p - h. Round q to 7 dps. 0.0000003 Let h = 56.767 + -56.731719. Round h to three decimal places. 0.035 Let b = 18598.99997383 + -18599. What is b rounded to 6 dps? -0.000026 Let x be ((-264)/(-18))/(12/197848782). Let g = -135215178 + x. What is g rounded to the nearest 1000000? 107000000 Let j = 46.8300006842 - 46.83. What is j rounded to 7 decimal places? 0.0000007 Suppose 4*r - 30 = -3*c - 0*c, 0 = -5*r - 3*c + 36. Let n be 4815/r*(-4 - -2)*-863. Let s = n - 3325115. Round s to the nearest 100000. -1900000 Let w = -28006 - -28005.971978. What is w rounded to four dps? -0.028 Let c = 30866 - 1966. Let r = -389 + 397. Suppose -c = -r*b - 2*b. Round b to the nearest 1000. 3000 Let g = -620.711 + 622. Let h = 366.9 - 368. Let r = g + h. What is r rounded to 2 dps? 0.19 Let o(h) = -961346*h - 1114. Let k be o(-9). What is k rounded to the nearest 1000000? 9000000 Let c = 793 - 800.62. Let v = c + -5.6. Round v to zero decimal places. -13 Let u = 1043.9 - 1043.9016289. What is u rounded to 4 dps? -0.0016 Let l = -9739 - -9738.9999866665. Round l to 7 decimal places. -0.0000133 Let j = -2315.588065929717 + -0.411933027283. Let k = 2316 + j. What is k rounded to 7 dps? 0.000001 Let p = 0.702 - 128.102. Let k = 102 + p. Round k to the nearest integer. -25 Let v = 897 + -864. Let h = v - 32.9801. Round h to two decimal places. 0.02 Let a = 219 - 386. Let y = -167.00000546 - a. Round y to 7 dps. -0.0000055 Suppose 0 = -g + 5, 0 = a + 4*g + g - 6573. Let f = a + -11998. What is f rounded to the nearest 100? -5500 Suppose 6 = -6*h + 24. Suppose -5*p = -h*p - 28. Suppose 16*b = p*b - 43800000. Round b to the nearest one million. -22000000 Let z = 3239.99995998 - 3240. Round z to 5 decimal places. -0.00004 Let r be (-1)/(-10)*-6 - (99478918/(-55) + 7). What is r rounded to the nearest one hundred thousand? 1800000 Let j = 43 + -44. Let r be ((-94)/(-3))/(j/(-12)). Suppose l = -442 - r. What is l rounded to the nearest one hundred? -800 Let o(n) = -13*n**2 - 27*n + 7. Let x be o(-5). Let h = 677183 + x. Round h to the nearest 10000. 680000 Let l = -8958 - -15445. Suppose 56*u = l - 57615. Round u to the nearest 100. -900 Let l = -0.51 - -31.51. Let a = l - 30.9675. Let p = a + 21.6675. Round p to the nearest integer. 22 Let u = 466299568 - 466096730.9989. Let h = 202827 - u. Let w = 10 + h. Round w to three dps. -0.001 Suppose 0 = 5*b - 3*c - 351, -2*b - c + 150 = 3. Suppose -67*o = -b*o + 1180000. What is o rounded to the nearest 10000? 240000 Let y = -143.04 + 144. Let h = 10743745.95999768 - 10743745. Let t = y - h. Round t to six decimal places. 0.000002 Suppose -117*k = -51*k + 139*k + 237152200. Round k to the nearest 100000. -1200000 Let f = -16141.19 + 16496. Round f to 0 decimal places. 355 Let k = -129.29 - -129.29000429. Round k to seven decimal places. 0.0000043 Let t = 12864.2 + -12861. Let g = 66.433 + -63.2331. Let c = t - g. Round c to 3 decimal places. 0 Let t = -120 - -110.1. Let v = 102713.1098 - 102723. Let g = t - v. Round g to three dps. -0.01 Let o = 7.473387 + -7.85355. Let n = o - -0.38. Round n to 5 dps. -0.00016 Let v = 97.54 - 97.488276. Round v to four dps. 0.0517 Let u = -365.91448 - -0.03448. Round u to the nearest ten. -370 Let m(j) = -185157*j**3 + 5*j**2 - 10*j + 7. Let t be m(4). Let u be t/(-3) + (-7 - 40/(-6)). Round u to the nearest 100000. 4000000 Suppose 0 = -7*s + 26*s - 960716. Let o = s - 32364. What is o rounded to the nearest one thousand? 18000 Let k = -106.5 + 116. Let y = k + -9.5000086. What is y rounded to 6 decimal places? -0.000009 Let j = 1.34 - 1.4. Let z = j - -0.0599978. Round z to 7 decimal places. -0.0000022 Suppose -4*k + 206807557 = 3*m, m - 2*m + 103403777 = 2*k. Suppose 12601887 = -p + k. Round p to the nearest 1000000. 39000000 Let k be ((-2288)/3432)/(1 - (-1 - (-190336)/95169)). What is k rounded to the nearest ten thousand? -30000 Suppose 10*s - 458168 - 260502 = 0. Let u = 124039 - s. Suppose 67828 + u = 8*t. What is t rounded to the nearest 1000? 15000 Let p = 18210.628 + -18231.763518. Let b = 0.135718 + p. Let a = -21 - b. What is a rounded to 3 dps? 0 Let z = 73.332 + -0.482. Let m = 74 - z. Let o = m - -3.75. What is o rounded to the nearest integer? 5 Let x = -738608 + 1346468. Round x to the nearest ten thousand. 610000 Let f = -69766168938097 + 69766242158065.000087. Let s = 73219929 - f. Let v = 39 + s. Round v to five decimal places. -0.00009 Let r = -2362 - -1616. Let j = r + 745.99998032. What is j rounded to 6 dps? -0.00002 Let h = 23117 + -23590.38. Let q = -469 - h. Round q to one decimal place. 4.4 Let m = -9380822 + 15501304. Suppose 11*s = 44*s - 296685906. Let t = m - s. Round t to the nearest 100000. -2900000 Let b = -0.8247 + -0.0193. Let l = b + 0.843999467. What is l rounded to seven decimal places? -0.0000005 Let x = -0.210088 - 26.789312. Let w = 12 - 39. Let d = w - x. Round d to 3 decimal places. -0.001
{ "pile_set_name": "DM Mathematics" }
What is the tenth root of 26480377 to the nearest integer? 6 What is the seventh root of 22795431 to the nearest integer? 11 What is the ninth root of 10696408 to the nearest integer? 6 What is the fourth root of 1825920 to the nearest integer? 37 What is 499199 to the power of 1/2, to the nearest integer? 707 What is 136706 to the power of 1/5, to the nearest integer? 11 What is 1369589 to the power of 1/3, to the nearest integer? 111 What is 417621 to the power of 1/3, to the nearest integer? 75 What is the fourth root of 14920402 to the nearest integer? 62 What is 366887 to the power of 1/10, to the nearest integer? 4 What is 1956263 to the power of 1/3, to the nearest integer? 125 What is the third root of 11813137 to the nearest integer? 228 What is the cube root of 1236973 to the nearest integer? 107 What is the fifth root of 1900003 to the nearest integer? 18 What is the square root of 6160724 to the nearest integer? 2482 What is 1256317 to the power of 1/3, to the nearest integer? 108 What is 462 to the power of 1/2, to the nearest integer? 21 What is the eighth root of 3159350 to the nearest integer? 6 What is 11162571 to the power of 1/7, to the nearest integer? 10 What is the third root of 1465182 to the nearest integer? 114 What is the cube root of 815887 to the nearest integer? 93 What is 1770109 to the power of 1/3, to the nearest integer? 121 What is 8133276 to the power of 1/5, to the nearest integer? 24 What is the cube root of 79800 to the nearest integer? 43 What is the fifth root of 206257 to the nearest integer? 12 What is the third root of 241432 to the nearest integer? 62 What is 5219141 to the power of 1/2, to the nearest integer? 2285 What is the square root of 15822938 to the nearest integer? 3978 What is 166853 to the power of 1/5, to the nearest integer? 11 What is the cube root of 33351443 to the nearest integer? 322 What is 2512887 to the power of 1/2, to the nearest integer? 1585 What is the square root of 24704 to the nearest integer? 157 What is 13884046 to the power of 1/3, to the nearest integer? 240 What is the cube root of 61166 to the nearest integer? 39 What is 74664 to the power of 1/3, to the nearest integer? 42 What is the square root of 302893 to the nearest integer? 550 What is the seventh root of 34661 to the nearest integer? 4 What is the square root of 1231980 to the nearest integer? 1110 What is 127871 to the power of 1/10, to the nearest integer? 3 What is the third root of 6083818 to the nearest integer? 183 What is the cube root of 464624 to the nearest integer? 77 What is the tenth root of 3829698 to the nearest integer? 5 What is the third root of 1023093 to the nearest integer? 101 What is 174133 to the power of 1/3, to the nearest integer? 56 What is 211290 to the power of 1/10, to the nearest integer? 3 What is 518777 to the power of 1/10, to the nearest integer? 4 What is the square root of 541733 to the nearest integer? 736 What is 3524746 to the power of 1/10, to the nearest integer? 5 What is 79441 to the power of 1/2, to the nearest integer? 282 What is 11208068 to the power of 1/3, to the nearest integer? 224 What is the fourth root of 88182 to the nearest integer? 17 What is 193035 to the power of 1/3, to the nearest integer? 58 What is the eighth root of 163499 to the nearest integer? 4 What is the fifth root of 412216 to the nearest integer? 13 What is 11131859 to the power of 1/4, to the nearest integer? 58 What is the third root of 44428939 to the nearest integer? 354 What is 672939 to the power of 1/3, to the nearest integer? 88 What is the square root of 2265054 to the nearest integer? 1505 What is the sixth root of 371153 to the nearest integer? 8 What is 13461085 to the power of 1/2, to the nearest integer? 3669 What is the seventh root of 64911 to the nearest integer? 5 What is the sixth root of 10015263 to the nearest integer? 15 What is the square root of 294559 to the nearest integer? 543 What is the square root of 2593458 to the nearest integer? 1610 What is 326780 to the power of 1/3, to the nearest integer? 69 What is the ninth root of 3230709 to the nearest integer? 5 What is the ninth root of 3511790 to the nearest integer? 5 What is 4324922 to the power of 1/2, to the nearest integer? 2080 What is 788067 to the power of 1/2, to the nearest integer? 888 What is the third root of 436879 to the nearest integer? 76 What is 2044712 to the power of 1/2, to the nearest integer? 1430 What is 3490377 to the power of 1/9, to the nearest integer? 5 What is the sixth root of 1432496 to the nearest integer? 11 What is the square root of 27253281 to the nearest integer? 5220 What is 321131 to the power of 1/3, to the nearest integer? 68 What is the square root of 7074693 to the nearest integer? 2660 What is the cube root of 593106 to the nearest integer? 84 What is 442558 to the power of 1/10, to the nearest integer? 4 What is the seventh root of 147154 to the nearest integer? 5 What is 2314926 to the power of 1/3, to the nearest integer? 132 What is the square root of 7644388 to the nearest integer? 2765 What is the third root of 362456 to the nearest integer? 71 What is the eighth root of 480802 to the nearest integer? 5 What is 27468813 to the power of 1/3, to the nearest integer? 302 What is 117450 to the power of 1/3, to the nearest integer? 49 What is the cube root of 23023777 to the nearest integer? 284 What is 111300 to the power of 1/9, to the nearest integer? 4 What is 4533048 to the power of 1/3, to the nearest integer? 165 What is 3470968 to the power of 1/4, to the nearest integer? 43 What is the cube root of 2856532 to the nearest integer? 142 What is the square root of 1036530 to the nearest integer? 1018 What is the tenth root of 7034409 to the nearest integer? 5 What is the third root of 446611 to the nearest integer? 76 What is the ninth root of 5448178 to the nearest integer? 6 What is 111875 to the power of 1/2, to the nearest integer? 334 What is the tenth root of 59018 to the nearest integer? 3 What is 1759120 to the power of 1/3, to the nearest integer? 121 What is the cube root of 1909316 to the nearest integer? 124 What is the cube root of 23576562 to the nearest integer? 287 What is the cube root of 3435365 to the nearest integer? 151 What is the eighth root of 6248704 to the nearest integer? 7 What is the square root of 4267831 to the nearest integer? 2066 What is the fourth root of 19304759 to the nearest integer? 66 What is the third root of 11704 to the nearest integer? 23 What is the square root of 1677035 to the nearest integer? 1295 What is 154444 to the power of 1/3, to the nearest integer? 54 What is the fourth root of 1820172 to the nearest integer? 37 What is the cube root of 4353903 to the nearest integer? 163 What is the third root of 2846016 to the nearest integer? 142 What is the fourth root of 2689282 to the nearest integer? 40 What is the fourth root of 183917 to
{ "pile_set_name": "DM Mathematics" }
a) 9 (b) 3 (c) 2 c Which is the biggest value? (a) -3/14 (b) -5 (c) 0.4 (d) 1/3 c What is the third biggest value in 0, -41, 83? -41 What is the second smallest value in 19, 0.4, -9? 0.4 What is the third biggest value in 0.03, 8, 23? 0.03 Which is the second biggest value? (a) 0.185 (b) 1 (c) 4/7 c What is the second biggest value in -4/3, -31, 1? -4/3 What is the fourth biggest value in 3, 6/11, -9, -5, 0.2? -5 Which is the fourth smallest value? (a) -98 (b) 4 (c) -4 (d) -0.5 b What is the biggest value in -31, 1.4, 0.2, 0.1? 1.4 What is the biggest value in 1/6, -1/12, 0.35? 0.35 Which is the third biggest value? (a) -4 (b) -2/15 (c) -0.03 (d) 1/10 b What is the fourth smallest value in 2/13, 2/17, 10, 3.4, -4? 3.4 Which is the second smallest value? (a) -5 (b) -7 (c) -1/2 (d) 15 a Which is the third biggest value? (a) 2/9 (b) 5 (c) 10 a What is the smallest value in 3.6, 0.3, -4? -4 What is the fifth biggest value in 1/2, 2/17, 4/3, -2, 6? -2 Which is the third biggest value? (a) -4 (b) 5 (c) 13/8 a Which is the fourth smallest value? (a) -0.2 (b) -4/3 (c) -959 (d) -3/8 a What is the second biggest value in -2, -15, 16? -2 Which is the smallest value? (a) -1 (b) -3/7 (c) 0 (d) 0.5 (e) -9 e What is the fourth biggest value in -1/5, 2/67, 6, 0.4? -1/5 Which is the second smallest value? (a) 0.06 (b) 4 (c) 1 (d) 0 a Which is the second smallest value? (a) -3 (b) -7 (c) 0.2 (d) 19 a Which is the fourth smallest value? (a) 63 (b) -2 (c) -1/2 (d) -0.3 a What is the biggest value in 0.1, -2/157, -4? 0.1 What is the biggest value in -0.2, 4/5, 2, -1, -3.5? 2 What is the smallest value in 1/9, 0, 2/5, 2/7? 0 What is the second biggest value in -1, -4, 159? -1 What is the biggest value in -1, 2, 1/12? 2 Which is the fifth biggest value? (a) 0 (b) 1/6 (c) 1/2 (d) -1/94 (e) -5 e What is the fourth smallest value in 0.3, -2/13, 2/3, -0.67? 2/3 Which is the second smallest value? (a) -0.2 (b) -1.67 (c) 4 (d) 1 a What is the second biggest value in 4, 0.1, -9, 0.2, 7? 4 What is the second smallest value in -1, -1/2, 3, 0.2? -1/2 What is the second biggest value in 0.4, 2/3, 0.1, 4/3? 2/3 Which is the third biggest value? (a) 1 (b) 4 (c) 2/19 (d) 3 (e) -28 a Which is the third smallest value? (a) 7/2 (b) 4 (c) -1 (d) 2/11 a Which is the second biggest value? (a) -119/3 (b) -0.4 (c) 1 b What is the third smallest value in 2/19, -4/29, 2, -0.3? 2/19 What is the third biggest value in 0.2, 0.4, 5, 4, 0.11? 0.4 Which is the third biggest value? (a) 1/4 (b) -5 (c) 312 b What is the second smallest value in 2/25, -1/6, 4, -2/5? -1/6 Which is the fourth biggest value? (a) -3 (b) -4 (c) -0.049 (d) -0.4 b What is the smallest value in 2/15, 49/2, -6/5, 0? -6/5 Which is the fourth biggest value? (a) 0 (b) 0.17 (c) 1 (d) 5 a What is the second smallest value in -69.8, 4, -0.5? -0.5 Which is the biggest value? (a) 2/19 (b) -15 (c) -4/3 (d) 0 a Which is the smallest value? (a) 2/7 (b) 0 (c) 1/6 (d) 0.2 b What is the third smallest value in 2/7, -3, -4.3, 0.5? 2/7 Which is the third smallest value? (a) -8 (b) 3 (c) -1 (d) -0.4 d What is the third smallest value in -0.5, -36, -0.1? -0.1 What is the second biggest value in 3, -3, -12, 4? 3 Which is the fourth smallest value? (a) 0.5 (b) 0.4 (c) -2.4 (d) 11 d Which is the second smallest value? (a) -0.06 (b) -1/4 (c) 3/4 a What is the smallest value in -3/5, 24, -11? -11 What is the smallest value in -0.05, -0.2, 17/4, 1/5? -0.2 What is the biggest value in 5, -83, -1/5, 1, 3? 5 Which is the second smallest value? (a) 2/13 (b) -1 (c) 4/5 (d) -2/11 d What is the third biggest value in 0, 180, -4, 3? 0 What is the second biggest value in 0.2, 1731, 2, -0.4, -5? 2 What is the third smallest value in 3/115, -1, 0.3? 0.3 Which is the second smallest value? (a) 0 (b) -0.11 (c) -1.8 b What is the third smallest value in 2/31, 1, 0.4? 1 Which is the second biggest value? (a) -0.5 (b) 4/5 (c) -118 a What is the third biggest value in -5, 0.7, 5, 0.4? 0.4 Which is the third biggest value? (a) -5 (b) -7 (c) -0.9 b Which is the second smallest value? (a) -20 (b) -8 (c) 3 b Which is the fourth smallest value? (a) -6.5 (b) -3 (c) 1 (d) -1/2 (e) -0.3 e What is the third biggest value in -4, 0.4, 0.3, 35? 0.3 Which is the second biggest value? (a) 70 (b) 3 (c) 0.3 b What is the biggest value
{ "pile_set_name": "DM Mathematics" }
f t? 1 Let s = -14 - 35. Let x = -56 - s. Let r(y) = -17*y - 23. What is the units digit of r(x)? 6 Suppose 96*z - 5*w + 6329 = 97*z, 0 = -4*z - 8*w + 25388. What is the thousands digit of z? 6 What is the thousands digit of -3 + (-514773)/(-57) - (-42)/(-399)? 9 Suppose -2*r - 230 = -5*j, 0 = 4*j - 7*j - 3*r + 117. Let o(h) = -4*h**2 + 6*h**2 - 3 + j*h - 40*h. What is the units digit of o(8)? 7 Let c(h) = 0 + 1 - 2*h + 0*h + 0 - h**2. Let n be c(-3). What is the units digit of (178*3/12)/(n/(-4))? 9 Suppose 0*o + 5*r - 350 = -5*o, -8 = -2*r. Let c = 525 + o. What is the tens digit of c? 9 Suppose -9*w + 8*w + 1069 = 0. Suppose -i = -3*b + w, -2*i = -4*b - i + 1424. Suppose 5*j - b - 50 = 0. What is the units digit of j? 1 Let s(y) = -y**3 - 22*y**2 - 74*y - 235. What is the units digit of s(-28)? 1 Let v = 12719 - -2812. What is the hundreds digit of v? 5 Suppose 160150 = 5*r + 26*u - 21*u, r - 32034 = u. What is the units digit of r? 2 Let x(w) = 23*w**2 + 5*w - 392. What is the tens digit of x(-27)? 4 What is the units digit of (21*4/112)/(((-1)/16956)/(-1))? 7 Suppose -z + 9062 + 17650 = 17*z. What is the thousands digit of z? 1 Let c be ((-10)/(-15))/(2/30). Suppose -5*d + 18 + 32 = 4*u, -2*u = 0. Suppose -3*x + 5*l + 514 = 0, c = -d*l + 8*l. What is the hundreds digit of x? 1 Suppose -26*k + 25*k + 62 = 0. Suppose k*m - 64*m = -4. Suppose -2*h + 120 = -m*l, -3*h - 2*l + l = -192. What is the units digit of h? 3 Let t(x) = -2*x**3 - 11*x**2 - 11*x + 11. Let i = -2 - 5. What is the hundreds digit of t(i)? 2 Suppose -b = 3*r - 17388, -11592 = -50*r + 48*r - 5*b. What is the units digit of r? 6 What is the tens digit of (18/(-12))/(5 - 42/12) - -6735? 3 Suppose 0 = -2*t + 4*t - 10. Suppose -82*u + 498 = u. Suppose -s + o = 2*o, -t*o = -s + u. What is the units digit of s? 1 Suppose 3*t = -5*l + 2*l + 9, 2*t + 6 = 0. Suppose 3*h = p + 4, 0 = 3*h - l*h - 3*p. What is the units digit of (-78)/(((-6)/(-9))/(h/(-3)))? 9 Let c be -1 - (1 + 5*-1). Let o = 888 - 884. Suppose -4*q + 472 = -o*j, 16 = -j - c*j. What is the hundreds digit of q? 1 Let z(q) = q**2 + 2*q - 1. Let l(j) = -6*j**2 - 22*j + 26. Let x(f) = l(f) + 5*z(f). Let w be x(-15). What is the tens digit of (1264/w)/((30/9)/(-5))? 7 Let z(a) = a**3 - 2*a**2 + a - 1. Let v be z(1). Let j be -2 - (3 - (-1001)/v). Suppose -5*n + j = -114. What is the hundreds digit of n? 2 Let p be (360/14)/((72/(-56))/9). Let w = 495 + p. What is the tens digit of w? 1 What is the tens digit of 232*26 - (18 - 7)? 2 Let w be 13/(26/(-140)) - 5. Let u = w + 75. Let a = 22 + u. What is the units digit of a? 2 Let r(n) = n**3 + 10*n**2 + 8*n - 9. Let p be r(-9). Let i be (172/(-8))/((-2)/(p - 4)). Let u = 62 - i. What is the tens digit of u? 0 Suppose -3*m = -m - 18. Let i(u) = -m*u - 28 - 8*u + 0*u + 5*u. What is the units digit of i(-9)? 0 Let n = 84 + -94. What is the tens digit of ((-228)/n)/(114/380)? 7 Suppose -5*l - 836 = -2*q + 6740, q - 2*l - 3788 = 0. What is the tens digit of q? 8 Suppose 2*i - 17213 = 5*n, n - 17231 = -2*i - 0*n. Suppose 0 = -12*u + 1598 + i. What is the units digit of u? 1 Let p(o) = -o**3 - 27*o**2 - 34*o - 87. Suppose -g + 82 = -3*c + g, -2*g + 4 = 0. What is the tens digit of p(c)? 2 Suppose 2*b + 4 = 0, -3*y - 2 = 5*b + 20. Let a be 6 + 0 - y/(-1). Let j(m) = 15*m**2 - m - 2. What is the tens digit of j(a)? 5 Let o(n) = -2621*n**3 + 5*n**2 + n + 1. What is the hundreds digit of o(-1)? 6 Let k(t) = t**3 + 37*t**2 - 164*t + 27. What is the hundreds digit of k(13)? 3 Suppose 0 = 3*t - k - 8, -3*k = -t - 2*k. Suppose -t*p - 1074 = -3*f, -3*f = -7*f - p + 1432. What is the tens digit of f? 5 Let f = 209 - 20. Let u = f - 30. What is the hundreds digit of u? 1 Let q be (217/14)/(3/6). Let k = q - 30. What is the units digit of (4 + -1 + 4)/k? 7 Let z be -2*(-1)/2 + 58. Suppose -31*b - 5*h + 180 = -36*b, -2*b - 2*h = 84. Let k = b + z. What is the tens digit of k? 2 Suppose -7*o = -4*o + k - 5778, -k - 9630 = -5*o. Suppose -o*d + 1924*d + 794 = 0. What is the units digit of d? 7 Let q(i) = i**2 - 11*i. Let a be q(11). Suppose a = -5*z - 367 - 98. Let g = 162 + z. What is the units digit of g? 9 Suppose -1152 = 165*r - 173*r. Suppose -2*j + 108 = 2*d, 3*j - 5*d + 2*d = r. What is the units digit of j? 1 Let v(x) be the first derivative of 4*x**3/3 + 20*x**2 + 46*x + 65. What is the thousands digit of v(-22)? 1 Let p be ((-6)/(-10))/((-13)/(-455)). Let l = p - 8. Suppose 2*s - 2 = -x + l, -17 = -x - 4*s. What is the tens digit of x? 1 Suppose 2 = 9*i + 2. Suppose i = -9*o - 424 + 37. Let q = 139 + o. What is the tens digit of q
{ "pile_set_name": "DM Mathematics" }
umber? False Is 50533429 a prime number? True Is 35863391 composite? True Is 2733947 a prime number? True Is 17129797 a prime number? True Is 1010850869 composite? True Is 2211589 a composite number? True Is 1748797 prime? True Is 161366189 composite? False Is 161146309 a composite number? False Is 17787907 a composite number? False Is 8358095 a prime number? False Is 20807687 a prime number? True Is 20564807 a composite number? False Is 168067 prime? True Is 327991 composite? True Is 261432631 a composite number? False Is 6033023 composite? False Is 4370182 a prime number? False Is 4251769 a composite number? False Is 706973 prime? True Is 124088773 a composite number? False Is 41242501 composite? False Is 154064401 composite? False Is 21155141 composite? True Is 21140807 a composite number? False Is 45189821 prime? True Is 380533 composite? False Is 20804935 a composite number? True Is 1161991 composite? False Is 782506559 a composite number? False Is 60145187 prime? True Is 2782643 a prime number? True Is 8943127 composite? False Is 11791111 a prime number? False Is 3912367 prime? True Is 107650733 composite? False Is 881351 a prime number? True Is 2218513 a prime number? False Is 5011249 prime? True Is 121020541 a composite number? False Is 1025383 a prime number? True Is 221099861 composite? False Is 1841435 prime? False Is 190979389 composite? True Is 116008421 composite? False Is 13156877 a composite number? False Is 607551559 prime? False Is 123299413 a composite number? False Is 1038226727 a composite number? False Is 28547507 composite? True Is 464843 prime? True Is 6782423 a prime number? False Is 1511357 prime? False Is 6907591 a composite number? False Is 24906817 prime? False Is 396157 a prime number? True Is 292979101 composite? True Is 25851809 a prime number? False Is 10028885 composite? True Is 47231687 prime? True Is 97773523 composite? False Is 99165057 prime? False Is 118921259 composite? True Is 21185614 prime? False Is 2910199 composite? False Is 453823283 composite? False Is 29532149 a composite number? False Is 209413 a prime number? False Is 4532951 prime? True Is 59118181 a prime number? True Is 9864457 prime? True Is 72028343 composite? False Is 10018579 composite? True Is 14699263 prime? False Is 10936781 prime? True Is 396757 a prime number? False Is 1354447 a composite number? True Is 43417427 prime? False Is 307817 a composite number? False Is 62916226 prime? False Is 38961289 a composite number? True Is 455810737 a prime number? True Is 438768367 a composite number? False Is 1082239 a composite number? True Is 195683533 a composite number? False Is 256338763 a composite number? True Is 9953711 composite? False Is 136829653 prime? False Is 160682251 prime? True Is 31851623 prime? False Is 390557 prime? False Is 14187059 composite? False Is 4103923 a composite number? False Is 4273251 a prime number? False Is 130529491 composite? False Is 54720959 composite? False Is 1318299533 a prime number? False Is 20406511 prime? False Is 2091041 prime? False Is 4765021 prime? True Is 48597469 composite? True Is 1191349 a prime number? False Is 14895989 prime? True Is 16764541 a prime number? False Is 9059069 composite? True Is 920609 composite? False Is 2326973 a prime number? False Is 2904133 a prime number? True Is 542413 a composite number? True Is 30911239 composite? False Is 1718903 prime? False Is 4425301 a prime number? False Is 196797 composite? True Is 2191438 prime? False Is 1424155 a composite number? True Is 37796431 a prime number? False Is 301749137 prime? True Is 8099283 prime? False Is 16606193 composite? False Is 2496719 a prime number? False Is 32525153 a composite number? True Is 76351613 a composite number? True Is 22379785 prime? False Is 52285309 a prime number? True Is 4026017 a prime number? True Is 8375417 a prime number? False Is 30935077 composite? False Is 4668847 prime? False Is 12623057 composite? True Is 32990039 a composite number? False Is 48047791 a prime number? False Is 14254937 prime? True Is 7897301 a composite number? True Is 78469847 composite? False Is 217522189 a prime number? False Is 21510263 composite? False Is 475044029 prime? True Is 338281613 a prime number? False Is 5873611 a prime number? True Is 3268833 a composite number? True Is 716523 a composite number? True Is 2821411 a prime number? True Is 2603617 prime? True Is 26740027 prime? False Is 2686421 a composite number? True Is 13695569 a composite number? True Is 486737509 a composite number? False Is 492287 composite? True Is 88708843 prime? True Is 3225803 a prime number? False Is 18628411 a composite number? True Is 61931 a composite number? True Is 46304861 prime? False Is 180132073 a composite number? True Is 3208721 composite? False Is 3735073 a prime number? True Is 31577587 prime? True Is 74992919 a prime number? False Is 1836259 prime? True Is 10159769 prime? True Is 428903303 composite? False Is 545047 prime? False Is 38549723 a composite number? True Is 25019413 prime? False Is 766903 a composite number? True Is 3264437 a composite number? True Is 1042009481 prime? True Is 23245621 composite? True Is 43499 a composite number? False Is 640585889 composite? True Is 141663151 prime? False Is 334386737 a composite number? False Is 799195 a composite number? True Is 32250161 composite? False Is 3902209 a prime number? True Is 1093562 a prime number? False Is 4474103 prime? True Is 56930695 composite? True Is 11939437 prime? True Is 460451 prime? True Is 60510871 composite? True Is 30562099 prime? True Is 629852551 composite? False Is 1415401 a prime number? False Is 20141591 composite? False Is 134683207 a composite number? False Is 151068845 a prime number? False Is 13700707 prime? True Is 6166663 a composite number? True Is 22496963 composite? True Is 2908949 prime? False Is 51944939 prime? False Is 70756219 a composite number? True Is 5928077 a composite number? True Is 78100327 composite? False Is 208013929 composite? False Is 2482633 a composite number? True Is 10777787 composite? False Is 976431 prime? False
{ "pile_set_name": "DM Mathematics" }
e number? True Is 103214413 a composite number? False Is 751661 a prime number? True Is 7350803 composite? True Is 191257855 a prime number? False Is 459863 a composite number? True Is 44164019 a prime number? True Is 2031985 composite? True Is 7086539 composite? True Is 1251409 a prime number? True Is 463544321 a prime number? False Is 29224621 prime? True Is 2286409 a composite number? True Is 2943079 a composite number? False Is 23037782 a prime number? False Is 38981717 prime? True Is 358249 composite? True Is 72246233 composite? True Is 130278847 a prime number? True Is 83987197 a prime number? False Is 59193319 a composite number? False Is 1401625273 a composite number? False Is 92063953 a composite number? False Is 836894 prime? False Is 40368623 composite? True Is 2580973 a composite number? False Is 709649 prime? True Is 1187859 prime? False Is 219699589 a prime number? False Is 1651079 composite? True Is 30727 a prime number? True Is 994613 prime? False Is 8790731 a prime number? False Is 44276291 a composite number? True Is 1767593 prime? True Is 122641 a composite number? True Is 4814489 a composite number? False Is 2954841 composite? True Is 61566269 composite? False Is 24089963 composite? True Is 1928753 prime? True Is 150179609 prime? False Is 55034449 a composite number? False Is 17213413 a composite number? True Is 7923037 a prime number? False Is 6348623 a composite number? False Is 2594803 a prime number? True Is 19604381 prime? True Is 787507 a composite number? True Is 106487 a prime number? True Is 693942077 a prime number? False Is 33083101 composite? False Is 4319899 a prime number? False Is 1010167 a composite number? False Is 74008499 composite? True Is 15058961 a composite number? False Is 90397679 a composite number? False Is 3445349 prime? False Is 350401013 prime? True Is 343264157 composite? False Is 30650485 prime? False Is 12656947 prime? False Is 12422581 a prime number? True Is 63664001 a prime number? True Is 7732493 composite? False Is 6394391 a prime number? False Is 299867119 a prime number? False Is 9741443 a prime number? False Is 103790315 a composite number? True Is 7187189 a prime number? True Is 442289 a composite number? True Is 3010145 prime? False Is 96893 composite? False Is 224705183 a composite number? True Is 802354537 a prime number? True Is 142975439 composite? False Is 2922041 a prime number? True Is 6815447 a prime number? True Is 2448809 a prime number? False Is 13687549 prime? True Is 257151161 composite? False Is 126283301 composite? False Is 2447633 a composite number? False Is 196047419 a prime number? False Is 6233491 a composite number? True Is 106745747 composite? False Is 1806257 composite? True Is 1446199 a composite number? True Is 8297959 prime? False Is 60735369 composite? True Is 6985669 a prime number? False Is 557153 prime? True Is 4711331 composite? False Is 160447 a composite number? True Is 13572361 prime? False Is 1308157 composite? False Is 4501447 a prime number? False Is 5135983 composite? False Is 42512219 a composite number? False Is 96630623 prime? True Is 8888305 a prime number? False Is 12019727 a composite number? True Is 5311381 composite? False Is 4151089 a prime number? False Is 34019 composite? False Is 772438 prime? False Is 213207109 prime? True Is 18680141 composite? False Is 2779519 a composite number? True Is 16477889 composite? False Is 3498359 a composite number? False Is 162569 a composite number? True Is 98051581 prime? False Is 561118711 composite? True Is 17860729 a composite number? True Is 1082335997 composite? False Is 1146179 prime? True Is 1121079 a prime number? False Is 241734137 a composite number? True Is 199337 a composite number? False Is 44981293 prime? False Is 3718651 composite? False Is 53196323 a composite number? False Is 192677453 a composite number? True Is 334517 a prime number? False Is 8144419 a prime number? False Is 23519845 a prime number? False Is 38202481 a composite number? False Is 10290461 a prime number? False Is 28753133 a prime number? True Is 45188987 a prime number? True Is 5191597 a prime number? True Is 348786133 composite? False Is 13022297 composite? True Is 356605723 prime? False Is 1658557 a prime number? False Is 12332401 composite? True Is 5588293 composite? True Is 411547699 a prime number? False Is 5748005 composite? True Is 19216123 a composite number? True Is 37321343 a composite number? False Is 166997009 a prime number? True Is 141014581 a prime number? True Is 2643569 a composite number? False Is 463468373 a prime number? True Is 22006711 composite? False Is 685073 composite? False Is 140219 a prime number? False Is 30937169 composite? True Is 20589707 a composite number? False Is 209700191 prime? False Is 20597963 a composite number? False Is 7528187 prime? False Is 22247605 composite? True Is 2458067 prime? False Is 460073 composite? False Is 1102184249 a composite number? False Is 4153943 composite? False Is 87717397 a prime number? True Is 4893719 prime? False Is 7623827 a prime number? False Is 210733 a prime number? False Is 2200097 a prime number? False Is 883801 a composite number? True Is 102132031 a prime number? True Is 15913607 a composite number? True Is 38768461 prime? True Is 4051939 composite? False Is 5740073 a prime number? True Is 1137547 a prime number? True Is 192971 prime? True Is 34522093 a prime number? False Is 9805865 composite? True Is 25053947 a prime number? True Is 17653681 prime? True Is 2963893 a composite number? True Is 148677 a prime number? False Is 1335977 prime? True Is 3388207 prime? False Is 3330421 a prime number? True Is 23608049 a prime number? True Is 134983 prime? False Is 14669567 prime? False Is 54247463 composite? False Is 1708159 composite? False Is 153686693 composite? False Is 13998035 a composite number? True Is 10679969 composite? True Is 269068919 a prime number? False Is 7593947 a composite number? True Is 5120381 a composite number? True Is 1217647 a composite number? False Is 89830619 a prime number? True Is 176984455 a composite number? True Is 45483457 prime? False Is 33082157 a prime number? True Is 5872681 a composite
{ "pile_set_name": "DM Mathematics" }
Calculate v(2). -24 Let o = -23034 - -23027. Let z(y) be the third derivative of -y**6/120 - y**5/10 + y**4/3 + 4*y**3/3 - 5*y**2. Calculate z(o). 1 Let m(a) be the third derivative of -a**5/12 - a**4/4 + a**3/6 + 14*a**2 + 56*a. Determine m(-2). -7 Let n(q) be the first derivative of -q**4/2 - 4*q**3/3 - q**2 + 2*q - 36. Let x be (9/3)/((-18)/12). Calculate n(x). 6 Suppose -5*j - 7*j + 1416 = 0. Suppose 0 = j*v - 117*v + 3. Let a(n) = -n**2 + n + 3. What is a(v)? -9 Let n(b) = -5*b**3 + 26*b + 1. Let d(o) = -24*o**3 + 35*o**2 + 198*o + 75. Let i(q) = -d(q) + 5*n(q). What is i(-33)? -4 Let z(b) = -b**3 - 3*b**2 - 4*b + 1. Let j be z(-2). Suppose -2*o - p + 29 = 0, 0*o - 4*o = j*p - 73. Let q(t) = t**2 - 12*t - 7. What is q(o)? -7 Let i(c) = 18*c**2 - 19*c**2 + c - 1 + 3*c. Let u be i(3). Let t(a) = -2*a - 2. Give t(u). -6 Let i(u) = -u**3 - 7*u**2 - 8*u - 7. Let x = 121 - 137. Let n(k) = k**2 + 16*k + 17. Let z be n(x). Let s = z - 22. What is i(s)? -17 Let r(i) be the second derivative of i**3 - 19*i**2/2 + i - 1181. Determine r(-9). -73 Let z(k) be the third derivative of -k**6/40 - 2*k**5/5 - k**3/6 - k**2 + 94. Determine z(-8). -1 Suppose -2*a = c - 10, 3*c - 19 - 7 = -4*a. Let y(h) = -18*h + 124. What is y(c)? 16 Let d(g) = 4*g**2 + 4*g + 3. Let r(a) = 60*a**3 - 25*a**3 + 47*a**3 - 8*a**3. Let l be r(1). Let m = -76 + l. What is d(m)? 11 Let d = -9274 - -9268. Let c(i) = 9*i**3 + 19*i**2 + 13*i + 5. Let p(r) = 5*r**3 + 10*r**2 + 7*r + 2. Let y(t) = 4*c(t) - 7*p(t). What is y(d)? -12 Suppose 0 = -3*k - 14*n + 17*n + 3, n = 6. Let o(t) = t**2 + 5*t + 2. Calculate o(k). 86 Suppose 139*u + 2*v + 17 = 130*u, u = 5*v + 19. Let k(h) = -49*h**3 + h**2 + h + 1. Calculate k(u). 50 Suppose 404*v - 406*v = -20. Let w(d) = -10 - 4 + d + v. Determine w(0). -4 Let x(f) = 51*f**2 - 1171*f - 16. Let b be x(23). Let l(c) = -c**3 + 30*c**2 + c - 28. Give l(b). 2 Suppose 4*c + 4 = 3*c. Let y(m) be the second derivative of 61*m - m**3 - 3/2*m**2 + 0. Determine y(c). 21 Let p(m) be the second derivative of -99*m + 15/2*m**2 + 1/6*m**3 + 0. Calculate p(0). 15 Let a(g) = -g - 1. Let y(t) = -2*t**3 - 11*t**2 + 3*t + 2. Let h(p) = -3*a(p) + y(p). Let q be (-7774)/1352 - (-1)/(-4). Determine h(q). 5 Let t(o) = -5*o - 14. Let b(i) = -7*i**2 + 7*i + 12. Let n be b(2). Determine t(n). -4 Let o(g) be the first derivative of g**4/4 - 32*g**3/3 - 61*g**2/2 - 239*g - 8532. Determine o(34). -1 Let r(o) be the third derivative of -o**6/120 + o**5/15 + 3*o**4/8 - o**3/6 - 595*o**2. Determine r(6). -19 Let f(z) = 13*z + 1. Let y(n) = -80*n + 40. Let o(l) = -6*f(l) - y(l). Determine o(16). -14 Let p(t) = 7*t**2 + 8*t - 10. Let l(f) = 6*f**2 + 8*f - 8. Let s(h) = -6*l(h) + 5*p(h). Let q = 92 - 99. Determine s(q). 5 Let z(q) be the second derivative of 0 + 0*q**2 + q + 1/6*q**3. Let j(s) = s**2 + 3*s + 3. Let c(w) = j(w) + 5*z(w). Give c(-8). 3 Let t(b) = 9*b**3 + b**2 - b + 1. Let g(o) = 55*o**3 - 5*o + 12. Let h(w) = -g(w) + 6*t(w). Calculate h(6). -12 Let r = -2 - -1. Let o = 72 - 68. Let k(a) = -7*a - 2*a - 8*a**2 + o*a + 3*a - 1. Determine k(r). -7 Let y(v) be the third derivative of -v**5/60 + v**4/8 + v**3/3 - 6*v**2. Let h = 194 + -192. Suppose 0 = 2*k + 3*k + 2*g - 30, h*g - 10 = 0. Calculate y(k). -2 Let k(j) = 3*j**3 + 7*j**2 - 5*j + 1. Let c be k(2). Let i = 36 - c. Let v(p) = 3*p + 3. Calculate v(i). -18 Let q(o) = -4*o**2 - 3*o + 7. Let h(l) = 1. Let m = 78 + -72. Let u(g) = m*h(g) - q(g). Determine u(2). 21 Let a(l) be the first derivative of 1/4*l**4 + 3/2*l**2 + 3*l + l**3 + 36. What is a(-2)? 1 Let w(d) = -4*d - 2. Let v be -5 + 0 + (-248)/36 + (-41)/369. Let z(q) = q**3 + 6*q**2 - 1. Let h be z(-6). Let k be -6*(h + v/(-8)). Give w(k). 10 Let j(n) be the third derivative of -n**4/24 + n**3/2 - n**2. Let f = 1015 - 1015. Let v be f/1*26/130. Determine j(v). 3 Let n(k) = 245*k**2 + 735*k + 2. Let h be n(-3). Let y(p) = -6*p**2 + p - 2. Calculate y(h). -24 Let i(s) = -9*s**2 - 10*s
{ "pile_set_name": "DM Mathematics" }
. Round t to six decimal places. 0.000006 Let r = -29299033096.6997291 + 17527351639.69972961. Let f = 11771681364 + r. Let v = -93 - f. Round v to seven dps. -0.0000005 Let n = 32.24 + -27. Let r = n + -5. Let a = r - -0.4. Round a to 1 decimal place. 0.6 Suppose -25 - 3 = -7*n. Let t be (169/3 + -3)*2250/n. Round t to the nearest one hundred thousand. 0 Suppose -7*x - 17500 = -11*x. Let m be (x/(-14))/((-2)/26048). Round m to the nearest one hundred thousand. 4100000 Let a be 6*3/((-54)/(-15)). Suppose -a*o = -2 + 7. Let l = -79 + o. What is l rounded to the nearest one hundred? -100 Let a = 0.1127 - 17.5327. Let z = a - -0.42. Let y = z + 17.0002. What is y rounded to 4 dps? 0.0002 Let w = 851 - 851.00001944. What is w rounded to 5 decimal places? -0.00002 Let c(u) = u**2 - 12*u + 4. Let m be c(12). Suppose 3*x - 2*x = m. Suppose y + x*y = 340000. Round y to the nearest 10000. 70000 Let l = 18 - 17.995. Let i = -0.0049889 + l. Round i to 6 dps. 0.000011 Suppose 8*j - 5*j = -66. Let q(b) = 26*b**2 - 21*b + 54. Let z be q(j). Round z to the nearest 1000. 13000 Let a = 0.049 + -0.03. Let s = a - -4.881. Round s to the nearest integer. 5 Let w = 222.99999272 + -223. Round w to 7 decimal places. -0.0000073 Let o(n) = -58*n**2 - 12*n + 7. Let a be o(-9). Let i = a + 1683. Round i to the nearest one hundred. -2900 Let d = -0.133 - 74.867. Let x = -36 - d. Let k = -38.9918 + x. Round k to 3 decimal places. 0.008 Let o(c) = 2*c**3 - 2*c**2 + 5*c - 2. Let s be o(2). Let i(h) = s*h - 1 + 19*h + 28*h. Let p be i(-3). Round p to the nearest ten. -190 Let b = 35.66 + -0.66. Let v = -35.042 + b. Round v to two decimal places. -0.04 Let n = 51836 - 90436. What is n rounded to the nearest 10000? -40000 Suppose q + 5*j = 154, 5*j + 94 = q - 20. Let w = 36 + q. What is w rounded to the nearest one hundred? 200 Let d = 777.000371 + -777. What is d rounded to 4 decimal places? 0.0004 Let w = -275.000000852 + 275. Round w to 7 decimal places. -0.0000009 Let z = -34.48 - -35. Let q = -0.52014 + z. Round q to 5 decimal places. -0.00014 Let j = 717091.1 + -116094.1. Let z = j - 601028.9931. Let x = z - -32. Round x to three dps. 0.007 Let m(x) = 12*x**2 - 29*x - 18. Suppose b + t - 6 = 16, 2*t = 2*b - 40. Let d be m(b). Let w = d + -2365. What is w rounded to the nearest 1000? 2000 Let u = -271 + 271.0763. Round u to 3 dps. 0.076 Let q(p) = -2*p + 96. Let b be q(0). Suppose b = t - 46. Suppose -138 - t = -y. Round y to the nearest one hundred. 300 Let s = -16.95 + 16.94997786. What is s rounded to 6 decimal places? -0.000022 Let l = -245372 - -144336. Let q = l + 592036. What is q rounded to the nearest 100000? 500000 Let i = -55 + 23.66. What is i rounded to the nearest integer? -31 Let l = 5.606 - 3.46. Round l to 0 dps. 2 Suppose 0 = 4*w + 5*h - 6596015, 2*h = 2*w - 2557840 - 740154. Round w to the nearest 10000. 1650000 Let v = 72.58 - 0.58. Let s = 71.17 - v. What is s rounded to 1 decimal place? -0.8 Let b = -0.01545692 - -0.0155. Round b to six decimal places. 0.000043 Suppose 15*g + 612176 - 5502176 = 0. What is g rounded to the nearest 100000? 300000 Let g = -2 - -2.017. Let l = -569.483171 - -569.5. Let z = l - g. What is z rounded to five dps? -0.00017 Let z = -0.04 - 9.96. Let p = z - -7.6. Round p to the nearest integer. -2 Let d = -0.016 - -0.094. Let r = 0.0779886 - d. Round r to 6 decimal places. -0.000011 Suppose 10*i = 12 + 8, 3*x - 2*i = 97016. Round x to the nearest one thousand. 32000 Suppose -i - 502255 = -5*n, 6*n + 301365 = 9*n - 3*i. Round n to the nearest one thousand. 100000 Let j = -115 - -62. Let k = j + 57.9. Round k to the nearest integer. 5 Let l(y) = -18*y - 28. Let h be l(13). What is h rounded to the nearest ten? -260 Let n = -547.0004928 + 547. Round n to 4 dps. -0.0005 Suppose -4*a - 5*y + 3*y = -236, 4*a - 238 = -3*y. Let m = a - 58. Round m to the nearest 10. 0 Let i = 0.05202 + -0.0669. What is i rounded to three dps? -0.015 Let v = -459 - 957. Round v to the nearest 100. -1400 Let l be 7239248/20 - 2/5. Let k = 296712 + l. Suppose -3*r - x - 4261328 = k, 3*x + 6 = 0. Round r to the nearest 100000. -1600000 Let i = 1866 - 1096. Suppose -3*p + i - 4220 = 0. What is p rounded to the nearest 100? -1200 Let x = 801.4 + -702. Let i = 111.38 - x. Let v = 12 - i. Round v to three decimal places. 0.02 Let t(b) = -1620*b**2 + 20. Let z be t(-4). Round z to the nearest 1000. -26000 Let g = 0.3 - 1.8. Let b = g + 6.2. Round b to the nearest integer. 5 Suppose -2*m - 7432386 = r, 5*m = -r + 4*r + 22297103. Let t = r - -4932376. Round t to the nearest one million. -3000000 Suppose o = -o + 30. Let r = o - 17. Let m be (-7 + 80007)/(r/(-90)). Round m to the nearest 1000000. 4000000 Let d(b) = -11*b**2 + 217*b + 14. Let o be d(-14). Round o to the nearest 100. -5200 Let f = 31.698305 + -31.7. Round f to four decimal places. -0.0017 Let d = -82.36 + 80. Let t = -2.2 - d. Let u = t - -2.04. What is u rounded to 0 decimal places? 2 Let o = 6878 - 7514.1. Round o to the nearest 100. -600 Let j =
{ "pile_set_name": "DM Mathematics" }
M? 56 How many minutes are there between 11:00 PM and 11:19 PM? 19 How many minutes are there between 12:52 AM and 1:27 AM? 35 What is 341 minutes before 9:19 PM? 3:38 PM What is 92 minutes after 9:00 PM? 10:32 PM How many minutes are there between 5:27 AM and 3:36 PM? 609 How many minutes are there between 6:11 PM and 7:48 PM? 97 What is 549 minutes before 4:44 PM? 7:35 AM What is 298 minutes after 6:02 AM? 11:00 AM How many minutes are there between 4:31 PM and 11:34 PM? 423 How many minutes are there between 7:58 AM and 9:42 AM? 104 What is 92 minutes after 5:07 AM? 6:39 AM What is 137 minutes before 11:57 PM? 9:40 PM How many minutes are there between 4:46 PM and 8:01 PM? 195 What is 430 minutes after 11:24 PM? 6:34 AM How many minutes are there between 7:46 AM and 1:18 PM? 332 How many minutes are there between 4:13 AM and 10:57 AM? 404 How many minutes are there between 9:51 AM and 2:04 PM? 253 How many minutes are there between 8:45 PM and 2:07 AM? 322 What is 457 minutes after 1:32 AM? 9:09 AM How many minutes are there between 10:00 AM and 5:00 PM? 420 How many minutes are there between 2:59 PM and 2:41 AM? 702 How many minutes are there between 6:06 AM and 3:23 PM? 557 How many minutes are there between 11:36 PM and 6:30 AM? 414 What is 104 minutes after 3:43 AM? 5:27 AM What is 705 minutes before 12:25 PM? 12:40 AM What is 327 minutes after 12:12 PM? 5:39 PM How many minutes are there between 3:43 PM and 10:24 PM? 401 What is 310 minutes after 7:35 PM? 12:45 AM How many minutes are there between 7:10 AM and 8:38 AM? 88 How many minutes are there between 2:35 PM and 12:20 AM? 585 What is 51 minutes after 2:09 PM? 3:00 PM What is 260 minutes after 1:25 AM? 5:45 AM What is 142 minutes after 3:55 PM? 6:17 PM How many minutes are there between 5:55 PM and 5:16 AM? 681 What is 387 minutes after 11:03 PM? 5:30 AM What is 672 minutes after 5:40 PM? 4:52 AM What is 697 minutes before 11:53 PM? 12:16 PM What is 371 minutes after 11:43 AM? 5:54 PM What is 468 minutes after 3:16 AM? 11:04 AM What is 430 minutes before 9:31 PM? 2:21 PM How many minutes are there between 11:00 AM and 1:06 PM? 126 How many minutes are there between 5:32 AM and 1:08 PM? 456 How many minutes are there between 11:26 AM and 1:51 PM? 145 How many minutes are there between 8:15 AM and 5:58 PM? 583 How many minutes are there between 1:16 PM and 12:35 AM? 679 What is 444 minutes before 6:42 AM? 11:18 PM How many minutes are there between 7:33 AM and 5:50 PM? 617 What is 144 minutes after 3:49 AM? 6:13 AM How many minutes are there between 6:28 PM and 1:06 AM? 398 What is 558 minutes before 10:45 PM? 1:27 PM How many minutes are there between 3:35 PM and 6:50 PM? 195 How many minutes are there between 1:29 AM and 5:44 AM? 255 What is 705 minutes after 1:33 AM? 1:18 PM What is 204 minutes before 6:30 PM? 3:06 PM How many minutes are there between 4:56 PM and 6:57 PM? 121 What is 386 minutes after 1:20 AM? 7:46 AM How many minutes are there between 4:09 AM and 2:19 PM? 610 How many minutes are there between 2:20 AM and 11:06 AM? 526 What is 155 minutes after 4:44 PM? 7:19 PM How many minutes are there between 11:25 PM and 6:34 AM? 429 How many minutes are there between 2:05 AM and 11:35 AM? 570 What is 501 minutes after 12:11 PM? 8:32 PM What is 148 minutes before 10:15 PM? 7:47 PM What is 458 minutes after 8:53 AM? 4:31 PM What is 372 minutes after 12:21 PM? 6:33 PM What is 33 minutes after 8:32 PM? 9:05 PM What is 341 minutes after 11:24 AM? 5:05 PM What is 359 minutes after 10:33 AM? 4:32 PM What is 44 minutes before 11:51 AM? 11:07 AM What is 414 minutes after 9:15 AM? 4:09 PM How many minutes are there between 10:30 PM and 7:16 AM? 526 How many minutes are there between 5:41 AM and 8:56 AM? 195 What is 710 minutes before 10:34 PM? 10:44 AM How many minutes are there between 5:32 AM and 10:34 AM? 302 What is 552 minutes after 9:35 AM? 6:47 PM How many minutes are there between 9:08 AM and 5:42 PM? 514 How many minutes are there between 8:26 PM and 8:13 AM? 707 What is 56 minutes before 12:57 PM? 12:01 PM What is 142 minutes after 12:29 AM? 2:51 AM How many minutes are there between 12:40 PM and 10:58 PM? 618 What is 260 minutes after 10:36 AM? 2:56 PM What is 36 minutes after 1:49 AM? 2:25 AM How many minutes are there between 4:15 AM and 2:10 PM? 595 What is 663 minutes after 4:48 PM? 3:51 AM How many minutes are there between 1:11 PM and 1:10 AM? 719 How many minutes are there between 9:54 PM and 9:15 AM? 681 How many minutes are there between 10:46 AM and 7:38 PM? 532 What is 454 minutes before 7:27 AM? 11:53 PM What is 266 minutes after 3:04 AM? 7:30 AM What is 644 minutes after 7:39 PM? 6:23 AM What is 620 minutes before 1:46 AM? 3:26 PM How many minutes are there between 4:48 AM and 12:11 PM? 443 What is 504 minutes before 3:48 AM? 7:24 PM How many minutes are there between 5:59 PM and 7:08 PM? 69 How many minutes are there between 11:25 AM and 10:01 PM? 636 How many minutes are there between 8:13 PM and 1:22 AM? 309 How many minutes are there between 4:19 AM and 1:03 PM? 524 How many minutes are there between 3:07 PM and 5:19 PM? 132 How many minutes are there between 2:00 PM and 7:28 PM? 328 What is 458 minutes before 11:49 AM? 4:11 AM What is 137 minutes after 9:28 PM? 11:45 PM What is 14 minutes before 4:05 PM? 3:51 PM What is 591 minutes after 1:44 PM? 11:35 PM What is 39 minutes before 2:01 PM? 1:22 PM What is 428 minutes before 3:34 AM? 8:26 PM How many minutes are there between 11:49 AM and 12:16 PM? 27 How many minutes are there between 8:24 AM and 10:43 AM? 139 What is 641 minutes before 3:29 AM? 4:48 PM How many minutes are there between 1:00 PM and 8:08 PM? 428 How many minutes are there between 3:38 PM and 10:05 PM? 387 What is 468 minutes before 11:23 AM? 3:35 AM What is 264 minutes after 10:56 PM? 3:20 AM How many minutes are there between 4:13 PM and 11:50 PM? 457 How many minutes are there between 9:32 AM and 6:51 PM? 559 How many minutes are there between 5:42 AM and 3:02 PM? 560 What is 317 minutes before 2:02 AM? 8:45 PM What is 568 minutes after
{ "pile_set_name": "DM Mathematics" }
Collect the terms in 2 + c**2 + 25 - 354*c - 3*c**2 - 25. -2*c**2 - 354*c + 2 Collect the terms in 2*s + 264736373 - 264736373. 2*s Collect the terms in 33*v**2 - 31*v**2 + 58*v**2 + 275*v**3 - 1303*v**3. -1028*v**3 + 60*v**2 Collect the terms in -561*a**3 + 645*a**2 - 89*a**3 - 297*a**3 - 645*a**2. -947*a**3 Collect the terms in 6221 - 6221 + 8054*d. 8054*d Collect the terms in -248458 - 81*k**3 - 9*k**2 + 248458 + 2*k - 3*k. -81*k**3 - 9*k**2 - k Collect the terms in 522*m**2 - 664*m**2 + 953*m**2. 811*m**2 Collect the terms in 3 + 0 - 686976*s - 3. -686976*s Collect the terms in 110*j + 2*j**2 - 50*j - 3*j**2 + 38 + 0*j**2 - 58*j. -j**2 + 2*j + 38 Collect the terms in -570*x + 3 - 7 - 17 + 3. -570*x - 18 Collect the terms in -3212*c + 1606*c - 709*c - 2126*c. -4441*c Collect the terms in -141213*q**2 - 140524*q**2 + 281733*q**2 + 6*q. -4*q**2 + 6*q Collect the terms in 16568729 - 3636*t - 16568729. -3636*t Collect the terms in 140 - 290 + 150 + 2642*h. 2642*h Collect the terms in -7397*u - 4052*u + 5542*u - 16436*u. -22343*u Collect the terms in -2010 - 739*v**2 - 1522 + 11*v - 11*v. -739*v**2 - 3532 Collect the terms in -85826 + 15*p - 41*p**2 + 85826. -41*p**2 + 15*p Collect the terms in -51*g + 153*g + 154*g - 265*g. -9*g Collect the terms in -24*c + 6121303 - 6121303 + 25*c. c Collect the terms in 373888*o - 2394142*o - 11487364*o. -13507618*o Collect the terms in 426*p**3 + 436*p**2 - 1318*p**2 + 140*p**3 + 442*p**2 + 4*p - 5*p + 438*p**2. 566*p**3 - 2*p**2 - p Collect the terms in -1457*m**2 + 607*m**2 + 907*m**2. 57*m**2 Collect the terms in -410915 + 281*z + 410915 - 7*z**2. -7*z**2 + 281*z Collect the terms in -2*u**3 + 0*u**3 - 5206*u**2 + 5180*u**2 + 3. -2*u**3 - 26*u**2 + 3 Collect the terms in 1286*n - 776*n - 54*n + 1164*n + 1389*n. 3009*n Collect the terms in 116505*b**2 - 58226*b**2 - 58266*b**2. 13*b**2 Collect the terms in 22*s**3 + 22*s**2 + 25*s**2 - 1486*s**2 + 25*s**2 + 1414*s**2. 22*s**3 Collect the terms in 25 - 2205*y**3 + 13 - 38 + 1113*y**3 + 1090*y**3. -2*y**3 Collect the terms in 1224*f - 933*f**2 - 54*f + 974*f**2 - 2. 41*f**2 + 1170*f - 2 Collect the terms in -13132*k + 3286*k + 3274*k + 3275*k + 3275*k. -22*k Collect the terms in 93234029559922 + 6*b - 93234029559922. 6*b Collect the terms in 11781*d + 31667*d + 18054*d + 58332*d. 119834*d Collect the terms in -997*t - 958*t - 999*t - 2 + 2954*t - 23*t**3. -23*t**3 - 2 Collect the terms in -2842*h - 3057 + 3044 + 2842*h + 2*h**2. 2*h**2 - 13 Collect the terms in 3 - 2*t**3 - 6209*t - 303*t**2 - 5555*t + 11764*t. -2*t**3 - 303*t**2 + 3 Collect the terms in 752*s + 791*s - 36 + 770*s - 2331*s. -18*s - 36 Collect the terms in -1444*r**3 - 1337*r**3 + 2822*r**3. 41*r**3 Collect the terms in 1468*k + 1209*k + 1229*k - 844*k. 3062*k Collect the terms in -253*a - 242 + 254*a + 264 - 144. a - 122 Collect the terms in 18*v**2 - 18*v**2 - 16 - 42278*v**3. -42278*v**3 - 16 Collect the terms in j**3 - 5*j**3 - 30 + 1013*j**2 - 198*j**2 + 28 + 3*j**3. -j**3 + 815*j**2 - 2 Collect the terms in -23945*w + 71831*w - 23902*w - 23944*w. 40*w Collect the terms in 183821635203*h - 193*h**3 - 183821635203*h + 54*h**3. -139*h**3 Collect the terms in 487578 - 975157 - 13*s**2 + 487579. -13*s**2 Collect the terms in -4*y**3 + 14*y**3 - 19614 + 9792 + 9822. 10*y**3 Collect the terms in -383647 + 127733 + g + 127716 + 128198. g Collect the terms in -1003570*z**2 - 33 + 33. -1003570*z**2 Collect the terms in -266*w**3 - 232*w**3 - 250*w**3 + 1009*w**3 - 239*w**3. 22*w**3 Collect the terms in 36389271*z**3 - 30831603*z**3 + 106749481*z**3. 112307149*z**3 Collect the terms in 281094 + 281086 + 2*u**2 + 281092 - u**3 - 843272. -u**3 + 2*u**2 Collect the terms in 107701*r - 53823*r - 53555*r. 323*r Collect the terms in 8*u + 126*u**3 - 33*u - u**2 + 9*u. 126*u**3 - u**2 - 16*u Collect the terms in 1334*u**3 - 2248*u**3 - 2879*u**3. -3793*u**3 Collect the terms in 10*x**3 - 225756 - 225584 + 451340. 10*x**3 Collect the terms in q - 2798 + 2*q + 780. 3*q - 2018 Collect the terms in -4227*i**3 + 1714*i**3 + 3 + 2511*i**3. -2*i**3 + 3 Collect the terms in 58 + 139156*g**2 - 118 + 61. 139156*g**2 + 1 Collect the terms in -130428 - 3*q + 929*q**3 - 5*q + 130428 + 8*q. 929*q**3 Collect the terms in 690*t**3 - 11955422
{ "pile_set_name": "DM Mathematics" }
360 = 0. Calculate z. -3, -12/235, 39 Suppose t**4/3 - 822853*t**3/3 + 5759873*t**2 - 120956647*t/3 + 282231376/3 = 0. Calculate t. 7, 822832 Let -3*b**3 - 10338*b**2 + 270609*b - 718704 = 0. Calculate b. -3472, 3, 23 Suppose -4*r**2/5 - 2227984*r - 1551222720080 = 0. What is r? -1392490 Solve -v**3/4 + 72759*v**2/4 + 90954*v + 72764 = 0. -4, -1, 72764 Factor 2*u**2/3 + 289340*u/3 - 289342/3. 2*(u - 1)*(u + 144671)/3 Find i such that 5*i**4 - 10560*i**3 + 467335*i**2 - 4665960*i - 11285820 = 0. -2, 21, 26, 2067 Find r such that -4*r**4 - 10563476*r**3 + 10563480*r**2 = 0. -2640870, 0, 1 Factor 2*c**2 + 7743456*c + 7495138852992. 2*(c + 1935864)**2 Factor -5*w**2 - 71299520*w - 254181077611520. -5*(w + 7129952)**2 Factor -3*b**3 - 28113*b**2 - 72284160*b - 56522553300. -3*(b + 1810)**2*(b + 5751) Let 2*q**3/7 + 40402*q**2/7 + 29122610*q - 1837998450/7 = 0. What is q? -10105, 9 Suppose -2*y**2 + 41492*y - 1077440 = 0. What is y? 26, 20720 Solve -75*x**3 - 490227570*x**2 + 196091037*x - 19609104 = 0. -6536368, 1/5 Factor -5*q**4 + 190*q**3 - 1680*q**2 + 5490*q - 6075. -5*(q - 27)*(q - 5)*(q - 3)**2 What is f in 2*f**5/15 - 146*f**4/15 + 76*f**3/5 + 44972*f**2/15 - 441254*f/15 + 308066/5 = 0? -19, 3, 11, 67 Factor -l**2/4 - 720103*l/4 + 2880476. -(l - 16)*(l + 720119)/4 Factor -2*v**2/5 - 244506*v/5 + 46283076/5. -2*(v - 189)*(v + 122442)/5 Let -2*y**2 + 399980*y - 7598898 = 0. What is y? 19, 199971 Determine d, given that -5*d**4/4 + 1785*d**3/4 + 391065*d**2/4 + 15508675*d/4 - 37497750 = 0. -85, 8, 519 Find f such that 2*f**5/11 - 520*f**4/11 - 4382*f**3/11 + 1269100*f**2/11 = 0. -49, 0, 50, 259 Determine a, given that 2*a**3/5 - 548*a**2/5 - 118032*a/5 - 387072 = 0. -128, -18, 420 Let 12*b**2 + 20656*b/3 + 1388800/3 = 0. What is b? -496, -700/9 Let -s**2/3 - 2120881*s + 6362644/3 = 0. Calculate s. -6362644, 1 Solve 4*c**4 + 13744*c**3 - 1707700*c**2 + 49445744*c + 164077296 = 0 for c. -3557, -3, 62 Factor 2*b**2/7 + 33638394*b/7. 2*b*(b + 16819197)/7 Factor 2*s**2 - 272458*s - 1362340. 2*(s - 136234)*(s + 5) Determine t, given that 2*t**2 + 78469146*t - 78469148 = 0. -39234574, 1 Let 524*s**4 + 17563*s**3 + 41466*s**2 + 17957*s + 2170 = 0. Calculate s. -31, -2, -35/131, -1/4 What is r in -4*r**2 + 1001120*r - 20020800 = 0? 20, 250260 Factor -z**3/9 + 481*z**2/9 + 81064*z/3 + 80580. -(z - 790)*(z + 3)*(z + 306)/9 Determine x so that -6*x**5 - 172*x**4 + 35462*x**3 + 131524*x**2 + 143944*x + 48048 = 0. -91, -2, -1, -2/3, 66 Factor 4*p**4/7 - 3861456*p**3/7 + 931950820944*p**2/7 - 11182992817536*p/7 + 33548561420544/7. 4*(p - 482676)**2*(p - 6)**2/7 Find i, given that -2*i**3/9 - 5060*i**2/9 + 160682*i/9 + 4865900/9 = 0. -2561, -19, 50 Factor -2*r**5/9 - 149702*r**4 - 33616033206*r**3 - 2516193701502306*r**2. -2*r**2*(r + 224553)**3/9 Solve -2*o**4 + 46322*o**3 - 601908*o**2 + 1388880*o = 0. 0, 3, 10, 23148 Suppose 3*y**2 - 61585056*y - 246340272 = 0. Calculate y. -4, 20528356 Solve -3*u**5/5 + 1478*u**4/5 - 175944*u**3/5 - 330672*u**2 + 6986000*u - 4500000 = 0. -18, 2/3, 10, 250 Factor -y**4 - 2999*y**3 - 2949867*y**2 - 954947637*y. -y*(y + 873)**2*(y + 1253) Determine d, given that 15*d**2 - 100962377*d + 13461650 = 0. 2/15, 6730825 Suppose 3*c**4 + 6201*c**3 + 372927*c**2 - 6201*c - 372930 = 0. What is c? -2005, -62, -1, 1 Find u, given that 57*u**5 + 177868836*u**4 + 138760178445420*u**3 - 14606514412890*u**2 - 138760178445477*u + 14606336544054 = 0. -1560253, -1, 2/19, 1 What is s in 3*s**5 + 22284*s**4 + 1959774*s**3 + 1915212*s**2 - 1959777*s - 1937496 = 0? -7339, -88, -1, 1 Solve 3*p**4 + 891372*p**3 + 57926106*p**2 - 118526340*p + 59708859 = 0. -297059, -67, 1 Find s, given that 3*s**3 + 8466*s**2 - 2449503*s + 14391594 = 0. -3087, 6, 259 Solve 335*g**4 + 500430*g**3 + 910335*g**2 + 320720*g - 89520 = 0. -1492, -1, 12/67 Solve 3*g**2/2 + 33147*g - 38971449/2 = 0 for g. -22671, 573 What is v in -v**2 - 288601*v + 1154420 = 0? -288605, 4 Factor 2*t**2/
{ "pile_set_name": "DM Mathematics" }
11*m(x) - 6*p(x). Calculate f(k(v)). -16*v**4 Let l(g) = 16*g**2 - 2. Let h(d) = -9 + 8*d - 11*d - 8*d**2 + d**2 + 2*d**2 + 3*d**2. Let y(a) = 2*a**2 + 4*a + 12. Let p(i) = -4*h(i) - 3*y(i). Give l(p(r)). 64*r**4 - 2 Let t(d) = 47796*d - 139. Let i(j) = 43*j. Determine t(i(b)). 2055228*b - 139 Let m(o) = -50*o + 5. Let y(w) = -26*w + 2. Let s(q) = 3*m(q) - 7*y(q). Let k(r) be the second derivative of -r**3/3 - 501*r. Give k(s(i)). -64*i - 2 Let a(i) = -16*i**2 - 5*i - 2*i - 8*i**2 + 7*i. Let h(q) = -3*q + 6. What is a(h(b))? -216*b**2 + 864*b - 864 Let l(f) = 7*f. Suppose 2*v - 17 = -13. Suppose 4*k = -v*r + 24, 2 = 4*r + 10. Let s(p) = 3*p + 2*p - p - k*p. What is l(s(o))? -21*o Let v(m) = 336*m. Let f(n) be the third derivative of -7*n**5/60 + 2*n**2 - 194. Give f(v(z)). -790272*z**2 Let n(i) = -14546*i**2. Let s(c) = -2922*c**2. Determine n(s(o)). -124194969864*o**4 Let g(a) = 3*a**2. Let v(s) = 1063447*s. Calculate g(v(q)). 3392758565427*q**2 Let c(y) = y**2. Let p = -21337 - -85349/4. Let f(d) be the third derivative of 0*d**3 + 22*d**2 + p*d**4 + 0 + 0*d. What is c(f(h))? 36*h**2 Let i(r) = r**2 - 1. Let j(k) = 5*k**2 + 113. Let f(z) = 6*i(z) - j(z). Let c(n) be the first derivative of f(n). Let p(b) = 96*b. Give p(c(x)). 192*x Let o(p) be the second derivative of 3*p**3 + 14*p - 47. Let l(f) = 93*f**2. Give l(o(s)). 30132*s**2 Let f(j) = 2929*j**2. Let w(d) = 1444*d. Calculate w(f(s)). 4229476*s**2 Let q(u) = 111*u**2. Let s(d) be the second derivative of -d**5/40 + 29*d**3/2 + d + 7. Let r(w) be the second derivative of s(w). Give r(q(i)). -333*i**2 Let z(g) = -g. Let r(t) = -250*t**2 + 15*t - 3163. Let m(u) = 34*u**2 - 2*u + 452. Let q(x) = -15*m(x) - 2*r(x). What is q(z(v))? -10*v**2 - 454 Let h(l) = 338*l + 425*l - 872*l. Let c(d) = -2*d**2. Calculate c(h(a)). -23762*a**2 Let d(v) = 6*v + 98. Let j be d(-16). Let m(l) = -12*l. Let y(a) = 2*a. Let q(u) = j*m(u) + 11*y(u). Let r(z) = 2*z**2 - z. What is r(q(o))? 8*o**2 + 2*o Let m(v) = v + 2*v - 2*v. Let g(w) be the first derivative of -w**3/3 + 3*w**2 - 73*w - 241. Let b(a) be the first derivative of g(a). Calculate m(b(z)). -2*z + 6 Let u(x) = 31065635*x**2. Let v(r) = 4*r. Calculate u(v(z)). 497050160*z**2 Let w(d) = -d. Let r(h) = 8129*h**2 - 9*h - 2. Calculate r(w(f)). 8129*f**2 + 9*f - 2 Let d(x) be the third derivative of -257*x**4/4 - 5449*x**2. Let f(r) = -r**2. Determine f(d(l)). -2377764*l**2 Let g be 2 - (-12 - -12)*1*-1. Let v(w) = -14*w**2 - 6*w**g - 6*w**2 - 26 + 29*w**2. Let r(h) = h. What is r(v(f))? 3*f**2 - 26 Let y(k) = 6*k. Let z(u) be the first derivative of 327*u**2/2 - 6105. Give y(z(f)). 1962*f Let w(s) = 675*s**2. Let j(u) = -506 - 8*u + 6*u + 506. Calculate w(j(y)). 2700*y**2 Let i(p) = 3*p**2 + 78*p. Let z(d) = 212*d + 180*d - 582*d + 216*d. What is z(i(q))? 78*q**2 + 2028*q Let d(a) = 27*a**2. Let c(x) be the first derivative of 30*x - 8 + 0*x**2 - 1/6*x**3. Let n(q) be the first derivative of c(q). Give d(n(h)). 27*h**2 Let o(z) = -24*z**2. Let c(d) = 17048*d**2 + 128 - 17058*d**2 - 128. Calculate c(o(j)). -5760*j**4 Let j(o) be the second derivative of 13*o**3/6 - 325*o. Let m(r) = 159 - 3*r + r - 159. Give j(m(h)). -26*h Let y(a) = -3*a**2 - 19*a - 910. Let d(s) = s**2 + 6*s + 303. Let x(i) = -19*d(i) - 6*y(i). Let p(h) = 3*h**2. What is p(x(u))? 3*u**4 + 1782*u**2 + 264627 Let u(g) = -2*g**2. Let r be (-138)/(-8) - ((-7)/4 + 2). Let t(d) = 57*d**2 - 43 + 19*d + 43 - r*d. Give u(t(m)). -6498*m**4 - 456*m**3 - 8*m**2 Let n(k) = 2*k**2 - 1235*k. Let x(l) = 34668*l. Give n(x(u)). 2403740448*u**2 - 42814980*u Let a(n) = -3*n**2. Suppose 3*q = 9 + 3. Let d(s) = 2 - 4*s - s**2 - 6 + 3 + 5. Let h(r) = -r + 1. Let m(l) = q*h(l) - d(l). Give a(m(f)). -3*f**4 Let b(c) = -c**2 + c - 205. Let f(a) = a + 11. Calculate f(b(r)). -r**2 + r - 194 Let z(c) be the
{ "pile_set_name": "DM Mathematics" }
-0.4, -0.5 Let q be (30/(-3)*-1)/(-5 - -7). Suppose 2*g + 8 = -4*z, -2*z + 0 = -5*g + 4. Put z, -5, q, 7 in decreasing order. 7, q, z, -5 Suppose 7*f - 2*f - 75 = 0. Suppose 6*u - 3*u = -f. Let h(m) = m**2 + m + 2. Let t be h(-2). Sort t, -3, u. u, -3, t Let q = 6 - 8. Let k(t) = 7*t + 193. Let l be k(-27). Put l, -4, q in descending order. l, q, -4 Let t(v) be the second derivative of -v**4/12 + 3*v**3 - 8*v**2 + 15*v. Let s be t(17). Sort s, 3, -2, 5. -2, s, 3, 5 Suppose 0 = k + 3*k + b - 20, 3*b - 25 = -5*k. Sort 0.1, 18, k, 2. 0.1, 2, k, 18 Let j be (56/(-6))/(62/93). Put -5, 3, j, -4 in increasing order. j, -5, -4, 3 Let h = -301 - -306. Sort h, 0, -11. -11, 0, h Let o(r) = r**3 + 11*r**2 - 2*r + 11. Let j(g) = g - 6. Let y be j(-5). Let m be o(y). Let s be (-2)/(-6) + 22/m. Sort s, -4, 7 in decreasing order. 7, s, -4 Let y(z) = z**3 - 9*z**2 + 6*z + 11. Let n be y(8). Suppose 2*r - 4*r = 0. Suppose r = -2*g + 6*g + 16. Sort n, g, 5 in increasing order. n, g, 5 Let d = 0.35 - -0.05. Let o = 2965/33 - 981/11. Put o, -0.2, d, -0.7 in decreasing order. o, d, -0.2, -0.7 Suppose 5*i - 191 = -s, -3*i = -2*s + 3*s - 115. Suppose 2*j = -y + 9 - i, -4*y - 96 = 3*j. Let x = y + 26. Put x, 1, -0.5 in ascending order. -0.5, 1, x Let f = 315 + -316. Suppose -3*r + 24 = -3*d, 3*d - 2*d = -5*r + 16. Put 0, r, f in decreasing order. r, 0, f Let c = 15 - 28. Let f = 19 + c. Let a = f + -6.3. Put 1/5, 0.4, a in decreasing order. 0.4, 1/5, a Suppose 0 = 4*z + 1 + 3. Let y = -5 - -2. Sort -5, y, z in decreasing order. z, y, -5 Suppose 0*q = q - 4. Let v(r) = -r. Let x be v(q). Sort -1, x, 3 in descending order. 3, -1, x Let m = -121/852 + -7/284. Sort m, 42, 2 in increasing order. m, 2, 42 Let x be -94*1/(-18) - (-4)/(-18). Put 2, -21, 0, x in decreasing order. x, 2, 0, -21 Let f be -2 + 6*(-1)/(-2). Let c be (2/(-6))/((-1)/(-3)). Let i be (2 - 2)/(2 + 0). Sort i, f, c in decreasing order. f, i, c Suppose -4*t + 0*z - 3*z = -65, -5*t + 3*z + 88 = 0. Let v = -84/5 + t. Let b be (-10)/30 - (64/(-30) + 2). Put v, -3, b in ascending order. -3, b, v Let w = -7.05 + -35.85. Let c = 43 + w. Sort -8/3, c, 2/9 in increasing order. -8/3, c, 2/9 Let l = 61/4 - 15. Let m = 2 + 0. Let y be (m/8)/((-105)/(-56)). Put y, -2/25, l in increasing order. -2/25, y, l Let z(c) = 25*c + 382. Let n be z(-17). Put n, -5, -17 in decreasing order. -5, -17, n Let w = 0.6 - 0.1. Let v = 20000 + -400129/20. Let m = v + 25/4. Sort 1.3, w, m. m, w, 1.3 Suppose 3*j = 4*j. Suppose 4*s - 7 = 1. Suppose 5*a - s*h - 5 = 3*h, 15 = 3*h. Sort j, a, 5 in ascending order. j, 5, a Let j be (43/(-86))/((-1)/2*-2). Sort j, -3, 2 in decreasing order. 2, j, -3 Let r = 1092 + -1090. Let q be 2/8 - 29/4. Put q, r, -4 in descending order. r, -4, q Let v = -7.95 + 3.95. Sort -1.1, v, 4, 1. v, -1.1, 1, 4 Let o = 610 - 607.23. Let s = o - -0.23. Sort -7, s, 0.5 in decreasing order. s, 0.5, -7 Let q(h) = h**2 - h - 2. Let g be q(-4). Suppose 2*l = c - 0*c, 5*c - l = -g. Let t be -3 - 18/4*-2. Put t, c, -1 in ascending order. c, -1, t Let n = -9.11 - -9. Let l = n - 3.89. Let q = l - -4.5. Sort q, -0.5, 3. -0.5, q, 3 Suppose -2*g = -2*d + 12, -22*d = -26*d + 4. Let x be -3*(-3)/(9/4). Sort x, g, 11 in decreasing order. 11, x, g Let b = 3 + -3.5. Let n = b + 0.53. Let c = n + -0.12. Sort -1/3, c, 3 in increasing order. -1/3, c, 3 Let r = 15897/1105 + -243/17. Sort 0.5, -0.3, 1, r. -0.3, r, 0.5, 1 Let d = -853/346 - 6/173. Sort -1, 1, -0.5, d in descending order. 1, -0.5, -1, d Suppose -9 = 4*n + 75. Let w be ((-2)/(-4))/(n/42). Sort w, -5, 10 in ascending order. -5, w, 10 Suppose 2*z - 4*x = -14, 4*x - 19 = -4*z + 13. Suppose z*o - 14 = 1. Let i be ((-5)/(-4) + -2)*4. Put i, o, -2 in descending order. o, -2, i Suppose -5*q = 5*h - 20, q - 2*h - 6 = -4*h. Sort -5, 20, q, 4. -5, q, 4, 20 Let v = 505/6 - 84. Let b = -100.6 + 101. Sort v, -0.5, b in increasing order. -0.5, v, b Suppose -60*f + 18 = -51*f. Sort -4, -18, -14, f. -18, -14, -4, f Suppose -5*f + 6 = -g, -4*g + 2 = -f - 12. Let b(v) = v**2. Let w be b(1). Sort f, 3, w. w, f, 3 Let b(t) = 4*t**3 - 18*t**2 + 49*t - 12. Let n be b(3). Sort 0, 2, n in increasing
{ "pile_set_name": "DM Mathematics" }
Round a to one dp. -0.6 Let p = 14 - 10. Let h(b) = -p - 91*b + 4. Let j be h(1). What is j rounded to the nearest ten? -90 Suppose 2*k = 5*n + 11, -5*n - 14 - 3 = k. Let p be 4/k - 0/5. What is p rounded to the nearest ten? 0 Suppose 5*h + 2712472 = -887528. Round h to the nearest one hundred thousand. -700000 Let n = 3.90221 - 3.8695994. Let v = n - -0.0513803. Let k = -0.084 + v. What is k rounded to six dps? -0.000009 Let y = 18 + -18.00007. What is y rounded to four dps? -0.0001 Let u = 78 + -85.8. What is u rounded to zero decimal places? -8 Let t = 0.34 - 3.24. Let j = t - -0.4. Round j to zero decimal places. -3 Let b = -111.295895 - -111.34. Let h = 0.264 + -0.22. Let w = b - h. What is w rounded to five decimal places? 0.00011 Let y = -497710 - -697715. Let m be (6/3 - y) + 3. Round m to the nearest one million. 0 Let l(p) = 3*p - 2 - 3 + p**2 + 1 + 2*p. Let b be l(-8). Round b to the nearest ten. 20 Let z = 4 - -2. Let u(t) = z*t**2 + 786*t**3 + 8*t - 3*t - 3985*t**3. Let p be u(-5). Round p to the nearest 1000000. 0 Let j = 0.18 - 1.08. Let b = j - -0.90000072. Round b to 7 decimal places. 0.0000007 Let s = 7.0031 + -7. Round s to three decimal places. 0.003 Let t = 741795.0053 + -741765. Let i = -30 + t. Round i to 3 dps. 0.005 Let t = 317 - 447. Let b = 235 + t. Let n = b + -104.999947. Round n to five decimal places. 0.00005 Let s = 214 - 214.93. Let p = s + 0.833. What is p rounded to two dps? -0.1 Let h = 144 + -58. Let z be -1*h*-1 + 2. What is z rounded to the nearest ten? 90 Let m be (-18036)/22 + (-36)/198. What is m rounded to the nearest one hundred? -800 Let c be 2 + (2 - (1 - 0)). Suppose z + 13 + 0 = -5*y, 6 = -3*z - 4*y. Suppose -z*o - 2*n = -2210, o - c*n - n = 1080. Round o to the nearest 1000. 1000 Let f = 9.1 - 0.1. Let x = f - 23. Let w = x - -14.022. Round w to two dps. 0.02 Let v be 4*1*(-2)/4. Let r be 51/(-6) + (-1)/v. What is r rounded to the nearest ten? -10 Let u = -981.64 + 0.64. Let i = -981.3932 - u. Let h = -0.4 - i. Round h to 3 dps. -0.007 Let x(f) = -68201*f + 32. Let o be x(4). Let k = 388879 - -118349. Let n = o - k. Round n to the nearest 100000. -800000 Let z = -110627 + 110421.332. Let v = z - -206. Let m = v - 0.4. Round m to 2 dps. -0.07 Let a = 262352938884 + -262352966683.34200016. Let v = a - -27801.342. Let l = v + -2. Round l to seven dps. -0.0000002 Let j = 11 + -10.99. Let m = 7053.41 - 7053.42000002. Let g = j + m. What is g rounded to 7 dps? 0 Let u = 1498.904 + -1506. Let p = -7 - u. What is p rounded to two dps? 0.1 Let c = 130 + -130.00000142. What is c rounded to seven dps? -0.0000014 Suppose 0 = -4*r - 4*c + 36, 2*r - 14 = c + c. Suppose r*w + 2000 = 3*w. What is w rounded to the nearest one thousand? 0 Let z(v) = -v**2 - 8*v - 2. Let q be z(-12). Round q to the nearest 10. -50 Let k = 1154208.9999904 - 1154198. Let v = k - 11. What is v rounded to 6 decimal places? -0.00001 Suppose 5*d - 118 = -p, 3*p - 2*p - 2*d - 146 = 0. Suppose p + 38 = 4*w. What is w rounded to the nearest ten? 40 Let m be (15/6)/5*-2. Let y(g) = -8*g**3 - 2*g**2 + 1. Let q be y(m). Suppose q*r + 2960 = 3*r. What is r rounded to the nearest 100? -700 Let k = 0.9 + -0.91. Let v = 4570 - 4569.989895. Let n = k + v. Round n to 5 decimal places. 0.00011 Let c = -6586 - -16586. What is c rounded to the nearest one thousand? 10000 Let j be (179844/4)/(0 + -1). Let x be (-10039)/((-2 - -1)/1). Let o = j - x. What is o rounded to the nearest ten thousand? -60000 Let p = -27113 + -23987. What is p rounded to the nearest ten thousand? -50000 Let b = 36 + -31.2. What is b rounded to the nearest integer? 5 Let o = -3412775 - -1612775. What is o rounded to the nearest 100000? -1800000 Let r(m) = 14118*m**2 + 5*m - 6. Let z be r(6). Let p = -72264 + z. Suppose -p = 7*u - 3*u - 2*o, 2*u + o = -217996. Round u to the nearest ten thousand. -110000 Let s be (-1)/6 + (-26)/(-12). Suppose 0 = s*v + 16 + 24. Round v to the nearest 10. -20 Let n = 0.1 - 0.14. Let a = 8.96 - n. Let t = -9.022 + a. Round t to two dps. -0.02 Let k = 13.032 - 13. Let n = 0.089 - k. What is n rounded to 2 decimal places? 0.06 Let o = -0.53 - -0.03. Let s = o - 2.5. Let q = 2.99999952 + s. What is q rounded to 7 dps? -0.0000005 Let k = 23 + -9. Let y = 3.40217403 + 10.59782667. Let u = k - y. What is u rounded to six dps? -0.000001 Let h = 7.2 + -8. Let k = -0.80000007 - h. Round k to 7 dps. -0.0000001 Let b = 66 + -118. Let q = -37 - b. Let d = q + -14.99999927. What is d rounded to seven dps? 0.0000007 Suppose -o - 2*o = 0. What is o rounded to seven dps? 0 Let w be (-7 + 31)*(-5)/(-3). Suppose f - w = -0*f. What is f rounded to the nearest one hundred? 0 Let c = -358343 - -105218. Let a = c + 253120.999968. Let k = a - -4. What is k rounded to five dps? -0.00003 Let g be (-91)/(-28) - 2/8. Suppose -5*d = -x - 16980, 5*x + 85654 = g*d + 666. What is x rounded to the nearest 10000? -20000 Let k(j) = 4*j
{ "pile_set_name": "DM Mathematics" }
Let m = 58 - 42. Let l be (-38)/(-57) + (-4)/(-3). Calculate the remainder when m is divided by -3*(-1 + -4 + l). 7 Let q = -506 + 553. What is the remainder when 367 is divided by q? 38 Let z = 11 - 11. Suppose -3*a - 10 + 43 = z. What is the remainder when a is divided by 6? 5 Suppose -24*i + 10*i + 336 = 0. Calculate the remainder when i is divided by 9. 6 Let w = -31 - -49. Suppose -y + w = -0. Let s = -1019 - -1086. Calculate the remainder when s is divided by y. 13 Suppose 4*z = 6*z - 14. Suppose 2*u - z = 3. Let c(g) = g**2 - 3*g + 6. Calculate the remainder when 62 is divided by c(u). 14 Suppose 0 = -3*m + 6*m - 57. Suppose -6*w = -2*w - 20. Suppose -93 = 5*x - w*a - 348, 267 = 5*x - 2*a. What is the remainder when x is divided by m? 17 Let d = -1 - -38. Calculate the remainder when (1680/(-72))/(2/(-6)) is divided by d. 33 Let x = -265 - -287. What is the remainder when 99 is divided by x? 11 Let n = -424 - -449. Let c(k) = 16*k + 3. What is the remainder when c(6) is divided by n? 24 Calculate the remainder when 5930/55 - (-4)/22 - -2 is divided by 58. 52 Let u = 83 - 61. Suppose -y = -4*g + 13 + 2, 5*y = 2*g + 15. Suppose -4 = -z - 2*l + 4*l, 0 = -g*z - 2*l + 44. Calculate the remainder when u is divided by z. 6 Let r be 6/21*2 + 524/14. Let l = r + -33. Calculate the remainder when 9 is divided by l. 4 Let k(f) = f**2 - 342. Let v be k(0). Let q = -238 - v. Calculate the remainder when q is divided by 21. 20 Calculate the remainder when (-11)/(-3) + 9/27 - -45 is divided by 20. 9 Let i(c) = -c**3 + 2*c**2 + 4*c - 1. Let w be i(3). Let v be 87/15 - 4/5. Suppose w*g - v*g + 75 = 0. What is the remainder when g is divided by 7? 4 Let v = 1159 - 1113. Let u(s) = s**2 + 12*s + 3. Calculate the remainder when v is divided by u(-13). 14 Let n(c) = c + 2. Let f be n(0). Suppose -4*w = -f*y + 28 - 6, 13 = 2*y - w. Suppose -j = -y*j + 68. Calculate the remainder when j is divided by 9. 8 Suppose 0 = -3*p + 10*p - 1806. Suppose -150 + p = 4*w. What is the remainder when 42 is divided by w? 15 Let j(z) = -12*z - 223. What is the remainder when j(-22) is divided by 1/(-2*(-2)/44)? 8 Let c = 29 - 24. Let s = 109 + -65. Suppose -p - s = -c*p. Calculate the remainder when 21 is divided by p. 10 Let t(z) = z + 32. Suppose 198 = 2*j - 2*b, 0 = -j + 5*b + 77 + 38. Calculate the remainder when j is divided by t(0). 31 Let l = -1046 - -1067. Calculate the remainder when 1876/10 + (-2)/(-5) is divided by l. 20 Let d(y) = 2*y**2 + 45*y - 5. What is the remainder when 1408/28 - (-2)/(-7) is divided by d(-23)? 14 Let j(m) = -16*m - 12. Let i be j(-6). Let c be i/22 - 10/(-55). Suppose u - c*u = -177. What is the remainder when u is divided by 15? 14 Let i(p) = -p**2 - 7*p + 34. Calculate the remainder when 14 is divided by i(-10). 2 Suppose -5*l + 444 = -l - 2*r, -r + 444 = 4*l. What is the remainder when l is divided by 38? 35 Let s(q) = -18*q + 104. Calculate the remainder when 159 is divided by s(4). 31 Let q = 41 + 8. Calculate the remainder when 206 is divided by q. 10 Let b(s) = -s**3 + 8*s**2 - 3*s + 35. What is the remainder when 501 is divided by b(7)? 60 What is the remainder when (264/(-16))/((-6)/52) is divided by 36? 35 Let k = -546 - -702. What is the remainder when k is divided by 32? 28 Let j(n) = 21*n**2 + 6*n - 4. What is the remainder when 180 is divided by j(2)? 88 Let p(r) = -r**2 + 27*r - 73. Calculate the remainder when p(13) is divided by 33. 10 Suppose 9*r - 21 + 3 = 0. Suppose a - 2*w + r = 16, w - 38 = -2*a. What is the remainder when a is divided by 4? 2 Suppose 4*r - 15*z + 10*z = 45, 5*z + 5 = -4*r. Calculate the remainder when 9 is divided by r. 4 Let l(m) = 2*m**2 + 10*m + 35. Calculate the remainder when 29 is divided by l(-3). 6 Let w be -3*1/(-2) + (-891)/(-22). Let y = 76 - w. What is the remainder when y is divided by 105/14*(-16)/(-10)? 10 What is the remainder when 207 is divided by ((-76)/9)/(292/(-18) + 16)? 17 Suppose 47 = 2*y + 1. Suppose v + 5*v = -0*v. Suppose 2*x + 2 = v, z - x + 11 = 2*z. What is the remainder when y is divided by z? 11 Let j(g) be the third derivative of g**6/120 + g**5/6 + 13*g**4/24 + g**3/2 - 26*g**2. What is the remainder when j(-6) is divided by 25? 19 Suppose 4 = s, -d - s - 12 = -5*d. Suppose 13 + 11 = -3*l. Let n = 10 + l. What is the remainder when d is divided by n? 0 Let y(o) = 34*o**2 - 4. Calculate the remainder when y(2) is divided by 23. 17 Let y = -1 - -6. What is the remainder when 90 is divided by (-6 + y)*93/(-3)? 28 Let l be (2 - 2) + -1 + 3. Suppose 5*j + 4 = l*p, 0*j - 4 = j - 2*p. Suppose j = -2*o + 5*o - 15. Calculate the remainder when 22 is divided by o. 2 Let n = 147 + -99. Suppose -4*l + n = -0*l. Calculate the remainder when -8 + 1896/36 + (-1)/(-3) is divided by l. 9 Let s(u) = 6*u**3 + 10*u**2 - 4*u**3 - u + 0*u**3 - 3*u**3 + 3. What is the remainder when s(9) is divided by 20? 15 Let s(y) = 2*y**3 + 15*y**2 - 11*y - 7. Suppose -197 - 1 = -2*u. What is the remainder when u is divided by s(-8)? 14 Suppose -8*p + 395 = -3*p - 5*n, 2 = n. Calculate the remainder when 399 is divided by p. 75 Let i = 526 + -490. What is the remainder when 103 is divided by i? 31 Let k(y) = y**2 + 3*y - 5. Suppose -b = 4*l - 46, -3*l = -5*l + 5*b + 34. What is the remainder when k(5) is divided by l? 11 Let c(k) = 2*k**
{ "pile_set_name": "DM Mathematics" }
e -4*y = -2*p - 18, p + m = -4*p + 5*y for p. 1 Let p be 3 + -2*(-1)/(-2). Let x be (p/5)/(3/(-15)). Let d = x - -2. Solve d = -5*g - 4*u - 37, g - u - 2*u = 4 for g. -5 Let i(o) = 2*o**3 - 2*o**2 - 1. Let f be (-3)/(-3 + -2 + 4). Let j = f + -1. Let p be i(j). Solve l = 3*u - p, -2*l = -0*l - 10 for u. 4 Let s = -60 + 63. Solve 1 + 11 = -2*m + 2*n, -2*m - 16 = -s*n for m. -2 Suppose -5*u = -3*b + 39, 0*u = -b + 3*u + 9. Solve b = 4*d + p, p + 18 = 3*d + 4*p for d. 4 Let m(t) be the first derivative of t**4/4 + 7*t**3/3 - 9*t**2/2 - 8*t + 1. Let b be m(-8). Suppose 4*g = -b*g. Solve f = 4*d - 13, g = f + d + 3 for f. -5 Let j(a) = -a**3 - 3*a**2 - a - 3. Let d be j(-3). Suppose d = -4*q - 5*h - 16, 4*q + q = -4*h - 11. Solve 0*z = -z - 2*l - q, 3*z - 2*l = -11 for z. -3 Let l(u) = u + 6. Let z be l(-6). Suppose z*b + 4*b = 0. Solve 5*i + b*i - 24 = -g, 4*g - 6 = -2*i for i. 5 Let g be 0 - (-6 + 11 - 10). Solve -2*i - 30 = 5*x - x, g*x = 5*i for i. -5 Let g(f) = -f**3 + 7*f**2 - 5*f + 7. Let n be g(6). Let d = n + -9. Solve 5*j - 23 = 4*c + 17, -d*j + c = -21 for j. 4 Suppose -4*v = -2*j - 0*v - 2, -2*v = 3*j - 5. Suppose -10 = -3*a - j. Solve -a*k - 12 = 4*u + k, 4*u + 14 = -2*k for u. -4 Let s be (-306)/(-10) + (-4)/(-10). Let m = 55 - s. Solve -c - 5*t = c - 21, 4*t = 2*c + m for c. -2 Let b be (-2)/(-4)*8 + 0. Let f = 4 - 1. Suppose -3*i = -b*i + f. Solve 8 = 2*h - 3*w, -4*h - i*w + 19 = 3 for h. 4 Let t = 88 - 87. Solve -t = -4*n + 2*k + 3, 12 = 3*k for n. 3 Let n be (1*-3)/3 - -3. Suppose -2*p = -4*p + n. Solve -2*c + 17 - 50 = -5*v, 4*c = -3*v - p for v. 5 Suppose -3*l + 4 = -2. Let b be 9/6*(-2)/3. Let c be (-10)/(-3) + b/3. Solve -v - 5 = s + l*v, 2*s + 10 = -c*v for s. -5 Let v(c) = -2*c - 8. Let x be v(-6). Solve 0 = -3*m - 4*f + 19, m + 7 = x*m + f for m. 1 Let b(v) = -v + 15. Let z be b(8). Solve -5*f + 16 = -2*i - 3*f, i - z = -2*f for i. -3 Let a(b) = -b**3 - 8*b**2 - 6*b + 9. Let t be a(-7). Suppose t*k - 80 = -3*k. Suppose d + 1 = k. Solve -q - 4*q - d = -l, 0 = q - l - 1 for q. -4 Let r(v) = v + 2. Let m be r(-2). Let a = 322 - 315. Let k(j) = -j**2 - 8*j. Let i be k(-6). Solve -4*f - 3*l - i = m, 0 = -3*f - 3*l + a*l + 16 for f. 0 Let s(k) = k**3 - 10*k**2 + 16*k + 5. Let j be s(8). Solve j*h - 25 = -5*n, 2*n + 3*h - 4*h = -5 for n. 0 Let z be ((-5)/4)/(2/(-24)). Let c be 4/14 - (-38)/14. Suppose z = 3*p + 3*o - 9, -6 = c*p - 3*o. Solve p = 3*b + y, 18 = 3*b + y - 5*y for b. 2 Suppose -4*g + 4*d = -20, -5*g = -2*d + 5*d + 15. Solve 3*a + g*a = 3*q + 15, -a = -3*q - 5 for q. 0 Suppose d = 4*d - 63. Solve -2*a + 3*j + d = -0*j, -4*j - 32 = -4*a for a. 3 Suppose -18 = n - 3*q, -3*n + 0 = 2*q - 1. Let a be (1 - 1)/(n - -1). Solve -2*s + a*m - m = 5, -2*m = -4*s - 14 for s. -3 Let z be (0/(-2))/((-6)/3). Let i = z - 7. Let d = i - -10. Solve -4*w + 3 = 5*p - 3, -d*w = -3*p - 18 for w. 4 Suppose 2*p = 5 - 1. Let f(m) = 4*m**2 - m - 2. Let l be f(p). Solve -l = -2*k - u, -k - 4 = -3*k + u for k. 4 Let r be 0 + -2 + (10 - 3). Let s = 3 + -3. Solve s = -5*h - r*t + 15, -5*h + 0*t = -3*t + 1 for h. 1 Suppose -3*w + 8*w - 30 = 0. Let q = w + 0. Solve -4*v = 5*a - 17, 2*v + q*a = a + 11 for v. 3 Suppose 5*q - 24 = 2*a - 8, -q - 13 = 5*a. Let p = -11 + 6. Let b = p - -7. Solve 2*x + b = -2*w, -q*x - w - 2*w = 7 for x. 4 Let t(i) = -i**3 - 2*i**2 + i - 3. Let w be t(-3). Let o(q) = 2*q**3 - q**2 - 10*q. Let s be o(3). Solve 9 = w*k, 2*l + 3*l - s = -5*k for l. 0 Suppose 5*q = -2*q - 14. Let w be (-2)/(1 + -3) + 3. Let o = q + w. Solve -4*i - 2*t - 4 = 2, 14 = -i + o*t for i. -4 Let i(p) = 2*p + 3*p + 1 - p**3 - 4 + 6. Let l be i(-3). Let v be (5/l)/(2/102). Solve 4*u - 19 = 5*f, 0 = 2*u - 5*f - v for u. 1 Let x = -20 - -24. Suppose -i = -5*r + 11, 0 = -x*r - 3*i + i + 6. Solve 0*s + 12 = s - 4*h, 2*s = r*h for s.
{ "pile_set_name": "DM Mathematics" }
-b*a + 3*o = -0*a - 15, -3*a - 3*o + 27 = 0. Solve -5*q - 12 = -u, a*q - 4*q + 6 = u for q. -3 Let k = -1393 + 1397. Solve -7 = -3*i + 4*b + 6, -b - 8 = k*i for i. -1 Let w be 11/((-33)/(-18)) - -4. Solve 5*z + 5*a = 55 - 5, -w = -2*a for z. 5 Let z be -4 - (0 + (2 - 6)). Let s = 22 + -20. Solve s*q = -5*p - 2*q - 15, z = -2*p - 2*q - 8 for p. 1 Suppose 4*f - 10 = 2*g, -3*f - g + 4 = -1. Solve -3*q = 2*b + f, 2*b + b - 5*q - 35 = 0 for b. 5 Let p be (2/(-4))/((-2)/56). Suppose 2*a + 4*a + 24 = 0, 0 = -w - 4*a - 13. Let l = -13 + 18. Solve -4*y + l*s - p = -w*y, -5*y - 18 = s for y. -4 Let y(b) = -12*b + 350. Let s be y(29). Solve j + 11 = q + 4*j, s*q - 4 = 3*j for q. 5 Let p be 5 - (4 + -2 + 0). Let q be (2 - 6)*(-3)/p. Suppose 5*j - 14 = q*j. Solve 5*o - 20 = -2*f, 0*o + 4*f - j = 3*o for o. 2 Suppose 4*r = -c - 15, 4*r + 100 = -5*c + 25. Let k = 17 + c. Solve f - 4*h + 17 = 0, 0*f + h = -k*f + 11 for f. 3 Let h(v) = -v. Let j be h(6). Let l(w) = -w - 3. Let o be l(j). Solve 3*r + 3*c = o, r + 3 = -3*c + c for r. 5 Suppose -5*h - 2*q = -11, 2*h - q = -0*h + 8. Suppose -3*u - 14 = -4*c, 0 = -3*c + 4*u + h + 11. Solve 2*i = g - c, -g - 11 = -2*g + 5*i for g. -4 Let m be 1886/(-6) + 0 + 10/(-15). Let f be 4/(-18) + 5*(-14)/m. Solve 0 = 2*o - 6, f*o + 23 = 4*b + 5*o for b. 2 Suppose -m - m + 20 = 2*d, -12 = -3*d. Let f be 4/(-10) + (4 - m/(-15)). Solve -4*w - f*s = -2*s + 8, 10 = 5*s for w. -3 Let u(m) = 39 + 0*m - 5*m - 3*m + 3*m. Let x be u(7). Solve 0 = o + 3*n + 10 + 4, -x*o + 24 = -4*n for o. 1 Let c(x) be the second derivative of -x + 0 - 7/2*x**2 + 5/6*x**3. Let j be c(6). Solve 3*n + 5*o + 32 = 0, -4*n - j = o - 3 for n. -4 Let y be -4*2*5/(-4). Suppose 0 = 5*t - y*t + 10. Solve 0*b - 3*m = t*b - 11, -3*b + 14 = 4*m for b. -2 Suppose -2 = -4*g + 18. Suppose -43 - 45 = -4*h. Suppose g*x - 3 - h = 0. Solve -5*p - 10 = -x*k, 4*k = 2*p - 6*p - 32 for k. -3 Suppose 0 = -2*q - 3*r - 100, 4*r + 40 + 62 = -2*q. Let p = q - -31. Let w = -11 - p. Solve 0 = -7*x + 2*x - w*m + 20, 2*x - 14 = 4*m for x. 5 Let f(w) = w**3 - 3*w**2 + 2. Let q be f(3). Let t be (-40)/(-140)*1029/42. Solve -5*b - r = -t, -2*b + q*r + 8 = -b for b. 2 Suppose -2*b + 23*c = 26*c - 21, b + 4*c - 23 = 0. Solve 0 = -2*p - 5*q - 1 - b, -q = -4*p - 8 for p. -2 Suppose 5*g + 2*l = g + 24, 3*l - 12 = 0. Solve 0*j + j = -3*b, g*j + 13 = b for j. -3 Let u be 1*(-3 - (-4)/2). Let c = 0 - u. Suppose -3*k - 19 + 50 = 4*n, -n - k = -9. Solve 4*g - 12 = -v, -5*g + 3 = n*v - c for v. -4 Suppose 4*b = -0 + 40. Solve 3*s - 24 = 3*c, -2*c - 3*c - s - b = 0 for c. -3 Let t(z) = 5*z - 173. Let f be t(35). Solve f*j = 2*k - 14, 2*j + 0*k + 9 = k for j. -2 Suppose 0 = 3*z - 6. Let b(j) = -j**3 - 15*j**2 - 45*j - 9. Let q be b(-11). Let s be ((-20)/2)/((-4)/2). Solve q*u = -s*c - 0*c - 1, 12 = -z*c + 5*u for c. -1 Let b be (1 + -2)/(15/(750/(-10))). Solve -b*s - t - 2*t = -3, 4*s + 3 = 3*t for s. 0 Let x(i) = -i - 7. Let l be 28/(-6) + (-3)/9. Let q = -16 - l. Let w be x(q). Solve w*g + 2*h - 8 = 6, 4*h = -12 for g. 5 Let b(y) = 3*y**3 - 4*y**2 - 3*y + 6. Let l be b(1). Solve -p - 10 = -2*m - 1, -m = -l for p. -5 Let q be 5/(-30) + (-2)/(-12). Let k = q - 25. Let l = k - -40. Solve -5*v = -l, -r + 5 = -0*r + 2*v for r. -1 Let q(p) = 13*p + 11. Let r be q(-3). Let l = r + 32. Solve 2*f + 6 = 7*f - l*x, -3*x + 7 = 2*f for f. 2 Let i(c) = -2*c**2 + 15*c - 23. Let z be i(5). Solve z*k - 2*n - 4 = 0, -10*k + 16 = -7*k - 5*n for k. -3 Suppose 2*n + n = -4*v - 109, 3*n + 134 = -5*v. Let h = 3 - v. Solve -2*s + 2*i = 8, 6*i - h = -3*s + i for s. 1 Let f be (-16 + 20 - 6*1) + 6. Solve 2*c = w - 0 - f, 2*w = 0 for c. -2 Let k be (-864)/(-144) - 6/(-4)*-2. Solve k*i - 1 = -2*u, -2*u = i - u - 1 for i. -1 Let s = 12 + 18. Suppose 5*y - 7*y = 4*m - 70, -s = -m + 2*y. Solve -2*u - 5*x + 20 = -0*x, 5*u + m = 5*x for u
{ "pile_set_name": "DM Mathematics" }
5? 16856.45 What is the product of -113 and -138960? 15702480 What is -1672.002 times -0.054? 90.288108 Multiply 350 and -7366. -2578100 -10 * 110.55613 -1105.5613 What is the product of 12.4696106 and 1? 12.4696106 What is the product of -2.28 and 81.04? -184.7712 Work out 1.58077 * -0.33. -0.5216541 Multiply 1.2 and 25.36839. 30.442068 Product of 736 and -1006. -740416 1055.2 times -13.54 -14287.408 What is 25559.9 times 24.24? 619571.976 Multiply -0.1 and -9717719. 971771.9 Multiply 0.0732 and 14340. 1049.688 What is the product of 0.11754127 and 1? 0.11754127 Work out 17343954 * 7. 121407678 38296532 * -3 -114889596 -9869 * -113150 1116677350 14653 * 2887 42303211 What is the product of -1411785 and -0.2? 282357 Product of 5 and -0.9907478. -4.953739 Calculate -0.1*69.0942. -6.90942 -5 times 0.00646664 -0.0323332 Product of -407026 and 0.047. -19130.222 Multiply -57670 and 0.33. -19031.1 What is the product of 0 and 276843? 0 -3*2762043 -8286129 Calculate 24704964*3. 74114892 Work out 0.2691 * -108.56. -29.213496 Calculate -0.72*-2636599.8. 1898351.856 Work out 22.1536541 * 0.4. 8.86146164 -3.1*29486422 -91407908.2 Multiply 1 and 25.14228. 25.14228 What is the product of 138757 and 0.863? 119747.291 -2.572 * 960 -2469.12 Work out 4 * 0.30794384. 1.23177536 What is the product of 3 and 91.91953? 275.75859 Product of 4 and -104.203. -416.812 Product of 4 and -312812834. -1251251336 0.1 * -16340406 -1634040.6 -1187911 * -0.214 254212.954 What is the product of -0.3 and 5.5808553? -1.67425659 11965164 times 0.04 478606.56 Multiply -115201 and 233. -26841833 -0.097 times 1298542 -125958.574 0 times 287.3855 0 What is the product of 300324 and 21? 6306804 What is -0.0101 times -0.39277? 0.003966977 Work out 0.07 * -32755. -2292.85 What is the product of 0.035024 and -283.3? -9.9222992 What is -1.7 times -445.98007? 758.166119 Multiply -240464 and -118. 28374752 Work out 0.086738 * 996. 86.391048 -1.601 * -19407 31070.607 4.3*3410178 14663765.4 Work out -0.033789 * -1.04. 0.03514056 -486437 times -1.1 535080.7 What is 66.94 times -63.8? -4270.772 25339 times -0.3852 -9760.5828 What is 1842 times -37131? -68395302 Work out -0.01987 * -4. 0.07948 Product of 46.79597 and -3. -140.38791 What is -37 times -326809? 12091933 Work out 84.8 * -572.8. -48573.44 -0.3 * -45543735 13663120.5 Calculate -6*-235162. 1410972 What is 0.29 times 479867? 139161.43 What is -7900693 times -1.8? 14221247.4 Multiply -47963 and -7. 335741 Multiply 8223139 and 0.5. 4111569.5 Work out 1762 * 8315.4. 14651734.8 -0.33438138*3 -1.00314414 What is the product of 28295.7 and 0.065? 1839.2205 Product of -2.26 and -2.661. 6.01386 -137.066487 times 2 -274.132974 Multiply -119.7419 and -0.35. 41.909665 Multiply 40 and 1764. 70560 Product of 146124 and 0.95. 138817.8 -0.06443 times 1266 -81.56838 0.14*-1.1519127 -0.161267778 -0.08*-79988 6399.04 Work out -0.623 * 3.0831. -1.9207713 Calculate -7.4*206316. -1526738.4 0.109*-260991 -28448.019 Work out -15.46 * -3.8181. 59.027826 Calculate 0.5*-60480351. -30240175.5 62218565 * -0.1 -6221856.5 936392 * 121 113303432 -0.1 times -18497.695 1849.7695 -138.3*23421 -3239124.3 3 times -1523661 -4570983 -0.5 times -4400933.3 2200466.65 Product of -2794 and 4.52. -12628.88 Product of 33093 and 0.7192. 23800.4856 978 * 11402 11151156 Calculate -898*99052. -88948696 158774941 times -0.1 -15877494.1 What is the product of -52243 and 0.033? -1724.019 -6.2 * -39042 242060.4 What is the product of 8022 and -3076? -24675672 0.009*-0.142648 -0.001283832 What is 29 times -0.057115? -1.656335 What is 183042193 times -5? -915210965 Calculate -0.083*-36843.8. 3058.0354 Product of 4059 and -0.2727. -1106.8893 Product of -0.0033399 and 1.7. -0.00567783 -202487 * 60 -12149220 Work out 205 * -176240. -36129200 0.2*-6975570 -1395114 44118.3572*-3 -132355.0716 Multiply 7540321 and 2. 15080642 Product of 0.2 and -4940876. -988175.2 -26.5 times 359.798 -9534.647 Calculate -28711*34715. -996702365 Work out 2376 * 51484. 122325984 784.6 times 9309 7303841.4 What is the product of 2 and 0.051827324? 0.103654648 What is the product of -2.8 and 371806? -1041056.8 Calculate 278290*0.15. 41743.5 What is the product of 1401012 and -0.3? -420303.6 -0.16 times 13823378 -2211740.48 Product of -26 and 5770399. -150030374 What is the product of -2025.3078 and -0.4? 810.12312 What is 3.266172 times 80? 261.29376 0.1
{ "pile_set_name": "DM Mathematics" }
Which is the nearest to -0.6? (a) 6 (b) -1/28 (c) 1/2 (d) 0.35 b Which is the nearest to -0.24? (a) -1/3 (b) 4 (c) 2/679 (d) -0.2 d What is the nearest to -1/3 in 1/10, -0.319, 1236? -0.319 Which is the closest to 0.1? (a) 41 (b) -1 (c) 1 (d) 114143 c What is the nearest to 1968700 in -0.2, 4, -4/7? 4 What is the closest to 8/2161 in 5, -3/2, -1, 10? -1 What is the nearest to 1 in -1/4, 0.1, -1.1265, 27? 0.1 Which is the closest to -0.6? (a) -6.7 (b) -2 (c) -1/5 (d) 0.74 (e) -4 c What is the nearest to -7 in -3.9, 0, -0.0271, -4/5, 4/3? -3.9 Which is the nearest to -29? (a) 2/17 (b) -93 (c) -3 (d) -5 d What is the closest to 0.3 in 201, 25.7, 19/9? 19/9 What is the nearest to 24 in -0.02, 0, -182/9? 0 Which is the closest to -29928? (a) -7 (b) 0.5 (c) -152 c Which is the closest to -2/3? (a) 10.292 (b) -5 (c) 4 (d) 157 (e) 0.3 e What is the closest to 3 in 0.5, 35272, 2, -2? 2 Which is the nearest to -0.01? (a) 0.2 (b) 0.0248 (c) -0.2 (d) 0.06 (e) 74 b Which is the closest to 39? (a) -46 (b) 4/7 (c) -4 (d) -3 b What is the nearest to 0.3 in -1, 1292385, 3? -1 Which is the closest to -122.44? (a) 5 (b) 5/9 (c) -0.08 (d) -4 d Which is the nearest to -20541? (a) 3 (b) -3 (c) -2/9 (d) -2/3 (e) 1/3 b Which is the closest to -0.1? (a) 157029 (b) 4 (c) 10 (d) -12/7 d Which is the closest to -87? (a) 0.3 (b) 0 (c) -0.05 (d) 25 (e) -127 e What is the closest to -1/2 in -0.017, -0.5, 3.4, -2, 1/14? -0.5 What is the nearest to -3 in 0.05, 162, 2, -5? -5 What is the nearest to 1 in -1, -17, -122/439? -122/439 What is the closest to 0.2 in -3, 2/17, 5, 7/2, 343306? 2/17 What is the closest to 3042 in 463, 5, -1? 463 What is the closest to 9 in 10, -8, -0.01, 4.03, -4? 10 What is the closest to -1 in 4, -1/4, -415, 1, -32? -1/4 Which is the closest to 86? (a) -3 (b) -2/5 (c) 10 (d) 5 (e) -2/7 (f) -8 c Which is the nearest to -2/17? (a) 2 (b) -332 (c) -2 (d) -2.6 c What is the nearest to 1300 in -2/19, 5, -1/5, 0.5, -0.26? 5 What is the nearest to 0.1 in 3, 0.03, 774, 0, -2/17? 0.03 Which is the closest to 20123? (a) -2 (b) 23 (c) -1/3 b What is the closest to 4 in -5/2, -0.04, 0.5, -1/3, -2? 0.5 What is the nearest to -6 in 38, 0.2132, -3/5, 3? -3/5 Which is the closest to -1/3? (a) -20 (b) 4 (c) 0.2 (d) 5 (e) 2 (f) 4/6779 f What is the closest to 2/5 in 5, 0.09, 9, 2, 23? 0.09 What is the closest to 0.1 in -551, -59, -4, 0.1, -8? 0.1 Which is the nearest to -2/5? (a) 0.5 (b) 2 (c) 3 (d) -152396/11 a Which is the closest to -0.2? (a) -4 (b) 2.69 (c) -3/4 (d) 0.4 (e) 410 c What is the closest to 0.2 in -0.4, 60/11, -168.3, 5? -0.4 What is the closest to 263 in -1/3, 3/5, -16, 0.12? 3/5 Which is the nearest to -0.1? (a) 0 (b) 13 (c) 63 (d) -0.0017 d What is the closest to 0.8 in -1/2, -0.1, -3, -428236? -0.1 What is the closest to -211345 in -36, 7, -1/3, 4? -36 What is the closest to -0.14 in -1, -3596, 2/7, 3? 2/7 Which is the nearest to 2? (a) -1 (b) -1.2 (c) 1 (d) -873 c What is the closest to 2 in 4, 2180.4, -4/17? 4 Which is the nearest to 1884/7? (a) -7.71 (b) 0.1 (c) 2/7 c What is the nearest to 959 in -0.5, 0.1, 2/11, -40/97? 2/11 What is the nearest to 6.102 in 33, 5/2, 2? 5/2 What is the nearest to -1 in -39895, -5, 4, 1/6? 1/6 Which is the closest to 2/2281? (a) 13 (b) 6 (c) 0.29 (d) 0.6 c What is the nearest to 1 in -0.26, 4/97, 2/3, -7, 3? 2/3 Which is the closest to -1/7? (a) -0.22 (b) 0.226 (c) 2/17 (d) 306 a What is the nearest to 4 in -0.02, 13, -3, 1/8, -2813? 1/8 Which is the nearest to -447222? (a) 2 (b) -12 (c) -5 b Which is the closest to -6543/5? (a) 2/3 (b) -15 (c) -5 (d) 0.5 b What is the closest to 0 in 2, -4, 0.3652, 0.01, -7? 0.01 Which is the nearest to -0.1? (a) 605 (b) -1.35 (c) -12 b What is the closest to 2/7 in -6, 0.26, 0.1, 3, -3/35, -0.1? 0.26 Which is the closest to -0.062? (a) 1 (b) 5 (
{ "pile_set_name": "DM Mathematics" }
4)/(-12))/((-18)/27) -1/2 What is 280/60*6/4? 7 (-3)/(54/(-13)) + 298/(-1341) 1/2 What is (-4)/((-10)/(-12) - 3/(-18))? -4 -1 + -5 + 16/(1456/585) 3/7 Evaluate (-646)/380 - 1/(-2). -6/5 -4 + (-2 - -1)*-6 2 (8/(-6))/(28/(-21) - -1) 4 What is 38/40 + (-53)/265? 3/4 What is 6/9 - (-70)/21? 4 Evaluate 10/65 - 22/(-26). 1 What is the value of ((-10)/24)/((-40)/(-16))? -1/6 What is 352/896 - 3/12? 1/7 6*(-85)/(-600) - (-4)/10 5/4 What is (-5 - -7 - 3/4)*4? 5 Calculate 16/(-6)*3/(-2). 4 4/(-74) - 6102/(-1998) 3 What is (-2)/3*(-9 - -12)? -2 What is 12/4 - (4 - (-18)/(-16))? 1/8 13 + -11 + (-100)/45 -2/9 What is the value of ((-2)/(-50))/((-12)/60)? -1/5 What is (6/(-12))/(-2 - (-3)/2)? 1 Calculate 1*(-6)/18 + (-28)/6. -5 Calculate 5 - (1 + -2)*(-432)/81. -1/3 What is the value of (-7 + 175/21)*3/(-2)? -2 What is the value of (-135)/(-10) + -12 - (-3)/2? 3 What is the value of (-4)/(4 + (-11 - 3))? 2/5 35/45 - ((-1)/1 - -2) -2/9 What is the value of (15/(-20))/((-171)/(-608))? -8/3 Calculate 21/12 - 27/18. 1/4 What is -40*(57/15 - 4)? 8 Evaluate (2/4)/((-8)/(-336)*3). 7 (3 + -3 + -9)/(3 - 2) -9 Evaluate 1 - (12/(-9))/(-2). 1/3 Evaluate 64/192 - (-3)/(-6). -1/6 Calculate ((-1)/2 + 3)/((-6)/12). -5 Evaluate -3*30/(-10) - 18. -9 (15/(-10)*(-12)/(-9))/2 -1 Calculate 2 - (2 + 2 - 7). 5 What is the value of 1*(-6)/(3*6/(-9))? 3 20/(-8) + -9*(-8)/(-48) -4 (0 - 1)/(-1) - 78/91 1/7 Calculate ((-5)/(50/15))/((-15)/(-10)). -1 What is -2 + 148/(-1998) + (-251)/(-108)? 1/4 Calculate 2/1 - -9*2/(-8). -1/4 What is the value of 54/10 + (-4)/10? 5 Calculate (-1 - 20/(-8))*4/3. 2 What is the value of (-2)/(-3) + 14 + (-504)/27? -4 Calculate (-6 - -9)*49/(-63)*3. -7 Evaluate -9 + -4 + 9 - 4/2. -6 What is the value of 7/(294/28)*18/4? 3 Calculate 2*(-69)/33 - 4/(-22). -4 Evaluate 19/(-266) - (-207)/252. 3/4 (3 - 5 - 12/(-4))/(-1) -1 What is the value of (9 - 948/105)*(3 - 8)? 1/7 What is the value of 4/(-42)*(-126)/36? 1/3 -5 - ((-6 - -8) + 68/(-10)) -1/5 What is the value of 72/84 - 51/84? 1/4 Evaluate (-2 + 28/21)/6. -1/9 What is the value of (3/12 + (-1)/(-4))*-10? -5 Evaluate (-9)/12 + -58*1/(-56). 2/7 2/(-6) - 85/51 -2 Evaluate 252/(-66) + (-2)/11. -4 Evaluate ((-3)/(-90))/(15/36). 2/25 Calculate (-9 + 102/12)*3. -3/2 3*-1*10/(-4 + -6) 3 Calculate 0*(28 - 29)*(-1 + 0). 0 What is the value of 33/(-18) + 2 + 4/(-6)? -1/2 Calculate 2 - 90/48 - (-207)/648. 4/9 Calculate ((-1656)/(-621))/((-14)/6 + 2). -8 What is (-5)/((-5)/(-3)) + 84/30? -1/5 Evaluate (-308)/70 + 2/5. -4 Evaluate ((-26)/(-10) + -3)*10. -4 Evaluate 77/11*-2*(-2)/7. 4 Evaluate (36/(-90))/((-12)/5). 1/6 What is -29 - -19 - (-204)/21? -2/7 (6 + 4/(-4))/(-1) -5 Evaluate (-4 - -1) + 5/((-10)/(-8)). 1 What is 11 - (33/(-132))/((-1)/8)? 9 Evaluate 2*6*(-10)/(-240). 1/2 What is 357/84 + 2/(4/(-10))? -3/4 (-736)/138 + 1*7 5/3 Evaluate (8/(-80)*12)/3. -2/5 Evaluate (0*4/(-20))/(-5). 0 Evaluate 1*81/63 - 1. 2/7 Evaluate 190/228*9/20. 3/8 Evaluate (-11 + (-273)/(-26))*14. -7 Evaluate -6 + (-285)/(-20) + -8. 1/4 Evaluate -9 + 15/(-5) - -11. -1 Evaluate 6240/5005 + 20/(-14). -2/11 Calculate -2 - 3/66*-26 - -1. 2/11 (8/(-12))/(72/(-27)) 1/4 Calculate 8/(-12) - (-20)/(-105). -6/7 What is the value of (3/6)/(7*(-2)/4)? -1/7 Calculate 0 + ((-6)/8 - 5/(-20)). -1/2 Calculate 3/(-2)*((-8)/(-2))/2. -3 Evaluate -7 + 33/5 - 42/(-5). 8 (-6160)/1001 + (-5)/((-5)/6) -2/13 What is 25/(-9) - 52/234? -3 Calculate (-35)/11 + (1 - (-45)/(-55)). -3 (3 + 30/(-18))*-3 -4 Evaluate 2/(4*(0 - 1/2)). -1 What is the value of (-216)/84 + (-12)/28? -3 What is (8 - -1)/(0 + 1 + 0)? 9 (-2)/8*(-12)/(-45) -1/15 Calculate ((-4)/(-3))/((-286)/(-39)). 2/11 What is ((-22)/(-231))/(3/7)? 2/9 Calculate 14 + 0 - (-12 - -19). 7 Calculate 1/3 + 56/12. 5 Evaluate ((-2)/5)/((-6)/(-90)). -6 What is (-45)/6*(-23)/(-115)? -3/2 What is the value of 10/12*-4 + (2 - -1)? -1/3 (-544)/(-144) + (-8)/2 -2/9 Calculate 134/(-335) + (-17)/(-5) + -2. 1 What is (4/30)/(5/30)*-1? -4/5 Calculate ((-23569)/78)/49 - (-1)/6. -6 What is (2/(-13))/((-77)/1001)? 2 What is 560/94 - 8/(-188)? 6 What is (-2)/(0 - (4 - 5))? -2 Calculate (68 - 79) + 36/2. 7 (15/12)/((-45)/20 - -2) -5 What is the value of (5 - 174/30) + (-12)/10? -2 What is the value of ((-325)/195)/((-2)/(-6))? -5 What is (-2 + -4)*(-2)/12*-1? -1 Evaluate 0*(80/288 - 2
{ "pile_set_name": "DM Mathematics" }
d give f. -30 Rearrange 60 + 80*w - 238*w + 135*w to p + i*w and give p. 60 Express (0*t**2 - 2*t**2 + 4*t**2)*(946707 - 11*t - 946664 + 123*t) in the form m + y*t**2 + f*t + i*t**3 and give y. 86 Rearrange -9661*h - 2 + 10964*h + 2 to a*h + b and give a. 1303 Express 0*s**3 - 7*s**3 - 6*s**3 + (-37*s**2 + 17*s**2 - s**2)*(-5*s + 0*s + 6*s) as v + p*s**3 + n*s + h*s**2 and give p. -34 Express (3*o - 1 + 1)*(-165 - 46 + 85) + o + 4*o - 3*o + 0*o + 0*o + 2*o in the form p + z*o and give z. -374 Express d**3 - 616*d**2 + 1146*d**2 - 563*d**2 - 2*d as t*d**2 + r + i*d**3 + f*d and give i. 1 Rearrange 776 - 348*i + 1271*i - 1550 + 774 to o + l*i and give l. 923 Rearrange 16 - 33 + 14 + 6 - 211*y to the form n + m*y and give m. -211 Rearrange -39*p**4 + p + 127*p**4 + 3*p**3 - 42*p**4 - 56 - 47*p**4 to the form r*p**3 + a*p + m + x*p**4 + y*p**2 and give r. 3 Rearrange (0*n + n - 2*n)*((-1 + 1 - 2)*(-1 - 3 + 5) - 336 + 16 + 80)*(-1 + 4 + 1) to the form h + l*n and give h. 0 Rearrange -7754*o + 3614*o + 3769*o to the form r*o + s and give r. -371 Rearrange -2*x + 4958*x**3 - 245 - 4954*x**3 - 84 to the form k + l*x + u*x**3 + i*x**2 and give i. 0 Express (-1 + 0 - 1)*(-5539*q + 5547*q - 19 + 99) in the form v*q + w and give v. -16 Rearrange -562*a - 7 - 3073*a + 7 - 2085*a to b + s*a and give s. -5720 Express -5915413*v**3 - v + 5911815*v**3 + 0*v**2 + v**2 - v**4 + 2 as g*v**3 + j*v + r*v**4 + u*v**2 + t and give u. 1 Express (-15 + 7*p + 15)*(-5 + 4 + 3)*(-258*p - 66*p + 52*p) in the form m + v*p**2 + a*p and give v. -3808 Rearrange ((-2 - 2 + 2)*(-2 + 0 + 3) + 3 - 1 - 1)*(92 - 13*g**2 - 92 + (-184*g - 10*g + 58*g)*(5 - 1 - 2)*(3*g + 0 + 2 - 2*g)) to p*g**2 + v + r*g and give p. 285 Express (2*d + 2 - 2)*(2*d - 3*d - d) + 2 - 2*d**2 - 2 + 7321*d - 14654*d - 5 + 7327*d + 18*d**2 as z*d**2 + x + a*d and give z. 12 Express 3*o**3 - 3*o**3 - 3*o**3 + (-55*o + 339*o - 72*o)*(0*o + 0*o - 10*o**2) as c*o**2 + i + r*o**3 + y*o and give r. -2123 Express -3 + 3476*x - 2719*x - 2516*x as h + m*x and give h. -3 Rearrange -34508*f**2 + 11*f - 34534*f**2 + 69072*f**2 to l*f + w*f**2 + i and give l. 11 Rearrange -30773 + 2012*s + 30773 to the form a*s + b and give a. 2012 Rearrange (486778 + 3997*m - 486778)*(5*m - 3*m - 3*m + (-m + 3 - 3)*(-2 + 5 - 2)) to the form j*m + s + y*m**2 and give s. 0 Rearrange -2*g + 4585*g**2 + 2*g - 2427*g**2 - 16*g**3 + 18*g**3 to x + u*g + k*g**3 + j*g**2 and give j. 2158 Rearrange (0 + 3 + 1)*(2*j + 2*j - 3*j) + 4*j - 1207 + 1196 + 0*j to the form h + d*j and give d. 8 Express (h + 0*h - 2*h + (5 + 2 - 5)*(0 + 2*h + 0) + h + 5 - 5)*(-2888*h + 2886*h + 157 - 2) in the form a*h + t*h**2 + y and give a. 620 Rearrange 7*p - 4*p**4 - p**4 - 7*p**2 - 6*p**3 + 8*p**2 + 3 + 2*p**2 + 4*p**4 to the form s*p**3 + f*p**4 + t*p**2 + d + m*p and give s. -6 Express 4*h + 3451 - 12*h**2 - 6903 + h**3 - 4*h**3 + 7*h + 3453 as i*h + y + z*h**2 + w*h**3 and give z. -12 Rearrange -917 - 149*c + 1815 + 2*c**2 - 904 to the form t*c**2 + l*c + r and give r. -6 Express -1 + 6*j**2 - j + 4*j - 5*j**2 + (-205*j + 513 - 513)*(0*j - 4*j + 2*j) as f*j + w + g*j**2 and give f. 3 Rearrange -4*u + 4*u**3 + 259 - 165*u**2 - 765 + 257 + 251 + 3*u to the form l + v*u**2 + n*u**3 + c*u and give c. -1 Express -55 - 50 - 160*a + 85 in the form w + r*a and give w. -20 Rearrange 13558*x**2 - 676 - 682 - 678 - 677 + 2711 to l + v*x + y*x**2 and give v. 0 Rearrange 7874*w - 31381 - 31378 + 62759 to y + q*w and give q. 7874 Express -2*m**2 - m + 4*m**2 - 185841 + 185835 - 2*m - 19*m in the form n + b*m**2 + v*m and give b. 2 Rearrange -26*d**3 + 1420*d - 1420*d + (29*d - 59*d - 53*d)*(-d + d**2 + d) to t*d**2 + s*d + i*d**3 + k and give i. -109 Rearrange 296*s**4 + 5341*s**4 + 3601*s**4 - 3*s**4 + s**4 + 3*s**4 + (s**4 - 2*s + 2*s)*(0 + 4 - 2) to the form l*s**3 + o*s**4 + y*s + d*s**2 + f and give o. 9241 Rearrange 100*s - 371*s - 360*s + (3 - 1 + 0)*(-s + 2*s - 2*s) + 3*s + 2*s - 6*s to the form u*s + p and give u. -634 Express 3 - 636*d**2 + 1258*d**2 - d + 314*d**3 + 232*d**3 - 624*d**2 as t + n*d**3 + r*d**2 + y*d and give t
{ "pile_set_name": "DM Mathematics" }
-12)/(-4))/(y + 41/2). Sort 2, u, 5/2 in increasing order. u, 2, 5/2 Let p = -702/5 - -140. Let h = 7.3 - 8.29. Let l = 0.01 - h. Sort p, -0.3, l in increasing order. p, -0.3, l Let i = -0.0706 - -5.9706. Put i, 2, -2 in decreasing order. i, 2, -2 Let a be (-2*3)/(3/(-9)). Suppose a = -c + 3*c. Let n = c + -13. Sort -2, n, 3. n, -2, 3 Let g(f) be the second derivative of -f**3/3 - 17*f**2/2 - f. Let s be g(-6). Sort -2/5, s, 0, -3 in ascending order. s, -3, -2/5, 0 Suppose -27*i + 53*i + 26 = 0. Sort 1/5, -2, i, -3/11 in decreasing order. 1/5, -3/11, i, -2 Let o = -160.975 - -159. Let z = o + -0.025. Suppose 0 = -0*s + 2*s - 6. Put -0.3, z, s in ascending order. z, -0.3, s Let y(p) be the third derivative of p**6/120 - p**5/5 + 11*p**4/24 + p**3/2 + 9*p**2. Let g be 7 + 1 + 1 + 2. Let f be y(g). Sort -5, -4, f in descending order. f, -4, -5 Let w(a) = -a + 7. Let z be w(7). Suppose z = -0*j - j. Sort 3, -2, j in ascending order. -2, j, 3 Suppose -4*j - 16 = -0. Suppose 3*p - 4 = -2*y, 2*p = 5*y - p + 32. Let u be 1 + y + 0 - (1 - -1). Sort u, 2, j in decreasing order. 2, j, u Let u(i) = i**2 - 6*i + 7. Let r be u(2). Put r, 1, -17 in increasing order. -17, r, 1 Let t(b) = b + 13. Let z be t(-14). Sort -10, z, -4/7, -2 in decreasing order. -4/7, z, -2, -10 Let n(v) = -2*v**3 - 6*v**2 - 17*v + 4. Let t be n(-8). Let l be (t/(-63))/(-4) + -3. Let f = -0.05 - 0.45. Sort l, f, -2 in decreasing order. l, f, -2 Let z(x) = -x**3 + 9*x**2 - 8*x - 4. Let v be z(8). Suppose -3*o = 3*n - 36, -4*n + 0*n = o - 12. Put v, o, 2 in ascending order. v, 2, o Suppose -3*t = 5*f + 35, f - 5*t + t - 16 = 0. Sort f, -4/7, 6, 4 in decreasing order. 6, 4, -4/7, f Let p = 5.2 + -64.2. Let k = p + 57. Sort -5, k, 0.4 in descending order. 0.4, k, -5 Let f be (-1 - -2)*6/(-3). Suppose 2*w - 10 = -0. Suppose -w*x + 11 = 1. Sort f, x, -4. -4, f, x Suppose -25*h = 84 - 9. Suppose 4*z - 2*m - 10 = 0, 3*m + 5 = z - 5*z. Put z, -18, h in increasing order. -18, h, z Let b(a) = a**2 + 25*a + 111. Let h be b(-6). Let y(r) = 2*r - 5. Let z be y(4). Put h, 0, z in decreasing order. z, 0, h Suppose 64 = 84*c - 88*c. Put -4, c, -5 in descending order. -4, -5, c Let i = -2.732 + 0.032. Let z = i + 2.4. Put -0.1, z, -6 in ascending order. -6, z, -0.1 Let s be (30/(-168)*4)/(-5). Put s, -2/7, 254 in ascending order. -2/7, s, 254 Suppose -22*z + 32 = -18*z. Let f = 3.5 - 3. Let x = f - 1. Sort z, 5, x in descending order. z, 5, x Let a = 279 - 282. Suppose 3 = -2*m - r - 0, -20 = -4*r. Sort -5, 12, a, m. -5, m, a, 12 Suppose -11*j = 4*y - 9*j - 14, 5*y - 25 = -5*j. Let p = -2 + 2. Suppose 3 = x - p. Sort -1, y, x. -1, y, x Let f = -1 - -6. Suppose 17 = 5*l - 4*y, 0 = -f*l + 2*l - 2*y + 19. Suppose 3*b = 7 - 4. Put b, l, -2/5 in descending order. l, b, -2/5 Suppose -65 = -3*w + 5*b, 4*b = 4*w - 5*w + 16. Let o be (w/12)/(2/6). Suppose 0 = 4*c + 2*c + 6. Sort o, c, 0. c, 0, o Let o = -9.5 - -10. Put -2/11, -2/19, o, -0.2 in decreasing order. o, -2/19, -2/11, -0.2 Suppose 0 = 720*c - 717*c - 9. Suppose 46 = 5*s - 4*m, 4*m - 2 = -3*s - 0*m. Suppose -4*g + s*g = 0. Put c, 2, g in increasing order. g, 2, c Let k(v) = v**2 + v - 8. Let t be k(3). Put -0.08, 2, t in descending order. t, 2, -0.08 Let i = 367.02 - 363. Let t = -0.02 + i. Let x = 3.5 - t. Sort 0, 3, x. x, 0, 3 Suppose 42*t = -10 - 32. Put -10, -20, t in descending order. t, -10, -20 Let i = 6.2 - 6.6. Put 5, i, -6 in descending order. 5, i, -6 Let t be 4/(-6)*567/(-42). Let i = -3 + t. Suppose 2*u - i*u = -8. Sort 3, 5, u in decreasing order. 5, 3, u Let f be (9/6)/(23/10 - 2). Sort -0.3, -26, f, 2 in decreasing order. f, 2, -0.3, -26 Suppose -208 + 108 = -5*o. Put -2, o, -5 in decreasing order. o, -2, -5 Let r = -450 + 449. Sort -3, 1, r in increasing order. -3, r, 1 Let i = 0.066 - -40.934. Let g = -38 + i. Sort g, -1.1, 4 in descending order. 4, g, -1.1 Let s = -411 + 475. Sort 1, -4, s in decreasing order. s, 1, -4 Suppose 0*s - 4*s = 4*l - 212, 0 = -l + 4*s + 78. Let h = 60 - l. Sort 0, 4, h, 3. 0, h, 3, 4 Suppose -4*d - 57 = -5*b, 5*d - 3*d + 25 = -b. Let l be (-23)/(-4)*(-1 - d). Sort 2, l, -4 in ascending order. -4, 2, l Suppose 0 = 6*z - 7*z + 3. Suppose 4*t - 5*o = 27, 2*t + 3*
{ "pile_set_name": "DM Mathematics" }
2 and 0.024056. 25.243158 6459185626+-0.5 6459185625.5 Calculate -148517 - 396142.46. -544659.46 Subtract 20835 from -8701815. -8722650 Add together -6.26 and -656259185. -656259191.26 What is -2.35834 minus 433971? -433973.35834 Subtract 61153 from -0.16369269. -61153.16369269 Subtract -5 from -144891777.572. -144891772.572 Calculate 10203 - 70613119. -70602916 Put together 42123361.938 and 17.56. 42123379.498 What is the distance between -14947574741.785 and -0.25? 14947574741.535 Add together 147290555246 and -37.71. 147290555208.29 What is 0.4 plus -10761528627? -10761528626.6 What is 15 plus -306857789502? -306857789487 Add together 1.142 and -0.04870640184. 1.09329359816 What is the distance between -18.8783199775 and -0.4? 18.4783199775 Calculate 3565 - -91.83538874. 3656.83538874 Work out 1692.23174 + 0.095524. 1692.327264 Add 12061842815937 and 7. 12061842815944 Add together -8 and 9.4340669719. 1.4340669719 Calculate 0.1 + 226781.6734732. 226781.7734732 Work out 6.451407 - 0.04448136. 6.40692564 Calculate 27143462850502 + 1. 27143462850503 Add together -14183081424535 and 3. -14183081424532 0.2 - 19000857022.285 -19000857022.085 Add together 2045.37 and -105640772. -105638726.63 Sum 8397 and -44464454733. -44464446336 Total of -3.3260792 and -37458. -37461.3260792 Calculate -16.9 - 662432447290. -662432447306.9 Work out 5758618007 + 1.09. 5758618008.09 What is 111777440.40026 plus -6? 111777434.40026 What is -12561.3518 take away -47.4638? -12513.888 Add together -326 and 1911572718. 1911572392 Add together -12367.002 and 291.46. -12075.542 Calculate -0.03 + -14702328.783871. -14702328.813871 What is 0 + -178481123824? -178481123824 What is -462.6 minus 2252174? -2252636.6 Work out -24.79 + 29550973.39. 29550948.6 Add 26768057296 and 448. 26768057744 0.7+13710827919268 13710827919268.7 Work out 0.0917 - -3308707923. 3308707923.0917 What is the distance between -228970028338 and -4? 228970028334 0.03+-3204003.86493 -3204003.83493 Add -11201215177244 and -0.034. -11201215177244.034 What is 0.03143 minus 1040526447? -1040526446.96857 What is 28734577153 + -21? 28734577132 What is -0.8122 less than 23542300751? 23542300751.8122 Calculate 3641.8039365 - -189. 3830.8039365 What is the distance between 240489.413647 and 10? 240479.413647 Add together 1063 and 4920069580. 4920070643 Subtract 0.5 from 2720518156838. 2720518156837.5 What is the difference between 21411 and 5510695? 5489284 What is -224121983 less than 2328.15? 224124311.15 -1 + 59204566906196 59204566906195 Add -67806 and -35857.919. -103663.919 Calculate -330457981347 - -2. -330457981345 Subtract -1290767470 from 279. 1290767749 What is the difference between 0.92 and 2077971405620? 2077971405619.08 Calculate 106034.806866 - -440. 106474.806866 Add -0.5 and 2451.2316347. 2450.7316347 Total of 0.4 and 6.6931403429. 7.0931403429 What is the difference between -138 and -313941230910? 313941230772 4.92334 - -12618.22 12623.14334 Sum 1.81 and 6446994. 6446995.81 Total of 3.94998921 and 1633. 1636.94998921 30.30863+-123616 -123585.69137 -185521831+-695569 -186217400 Subtract -38 from 71887523040.7. 71887523078.7 What is 10.71 less than -2783239.6878? -2783250.3978 What is -2 take away 18533914010? -18533914012 What is 1648595.856043 plus -0.3? 1648595.556043 What is 4.0447 plus -0.114486218? 3.930213782 Add together -353986070 and 375.9. -353985694.1 0.28+74.29463441 74.57463441 Work out -59357 + -257178355. -257237712 Add 0.29773524 and -276.93. -276.63226476 Sum 19728039707542.7 and -1. 19728039707541.7 What is the distance between 56.98503566 and -10.8? 67.78503566 What is -0.227845 plus -323234463? -323234463.227845 -3.14258227614+19 15.85741772386 Calculate 2.03 - 273942.34609. -273940.31609 Calculate 4944083155 - 135. 4944083020 What is the distance between -1468788.754 and -48? 1468740.754 What is 1 take away 9760264613377? -9760264613376 What is -25829 take away 412511.0512? -438340.0512 What is 0.0741 + -0.26761617528? -0.19351617528 Total of 19239678 and -0.3438. 19239677.6562 What is 0.2 less than -0.41281383874712? -0.61281383874712 Calculate -0.118878575777 + 737. 736.881121424223 Work out -2 - 0.631254338136. -2.631254338136 What is -324096957 - -7275? -324089682 Add 22839643.41 and -5.811. 22839637.599 What is -19.5094 less than -74999235? -74999215.4906 What is -1992.2 less than -24773186? -24771193.8 Work out -207212993.239 - -121. -207212872.239 Work out 0.3 - -21553821130846. 21553821130846.3 Add together 0.0528 and -1194.86284. -1194.81004 Add together -7.25 and 3.97555544. -3.27444456 Work out -268853481995 + -0.06. -268853481995.06
{ "pile_set_name": "DM Mathematics" }
n = 66435921/238 - 279142. Let f = n - 9/14. Which is the nearest to 0? (a) 0.3 (b) f (c) 1 b Let n = -196.3 + 196. Which is the closest to -7? (a) n (b) 2/7 (c) 1 a Let s = -747/4 + 187. Which is the nearest to 1? (a) -5 (b) 15 (c) s (d) 0.1 c Let a = 3 + -4. Let m = -0.025592 - -0.325592. What is the nearest to m in -0.7, 3, a? -0.7 Let i = 2/75 - -136/525. Let a = 3.8 + -8.8. Let f = 0 - -1. What is the closest to 0.2 in f, a, i? i Let w = 29843/47 - 635. Which is the closest to w? (a) -3 (b) 0.5 (c) -2/15 c Let x = -0.04 - -2.04. Let s = -1.9 + x. Let q = -2 - -2.2. What is the nearest to s in 3/2, q, 3? q Let d = 105 - 277. Let l be d/(-154) + 2*(-4)/14. What is the closest to 1 in l, 2, -0.3? l Let s = 4.5 - 4.2. Suppose 2*x - 3*x = 0. Which is the nearest to 1? (a) x (b) 4 (c) s c Suppose 3*y + 25 = -4*x, -2*y + 6 = -2*x - x. Suppose -3*t + 5*t = 20. Let v be 4/t + y - -3. Which is the closest to -2/3? (a) v (b) -1/2 (c) 1/11 b Let v = 0.4 + -0.31. Let u = -0.21 - v. Let m = -0.1 + u. Which is the nearest to 1/2? (a) 1 (b) m (c) 3/5 c Let n be (49/14 + -3)/(78/24). Let q = -8.5 - -0.5. Let s(d) = d**2 + 6*d + 1. Let k be s(-5). Which is the closest to q? (a) -0.2 (b) n (c) k c Suppose -4*r + 5 = 3*k, 2*k - 7*r + 4 = -6*r. Which is the closest to -0.1? (a) 3/8 (b) 5 (c) k a Let z = 6.3 - 22.3. Let d = 16.1 + z. Which is the nearest to d? (a) 3 (b) 7 (c) -2 c Suppose 5*z = -15, -5*y = z - 0*z + 8. Let i = -3 + 0. Let p = i + 6. Which is the nearest to 0.1? (a) p (b) y (c) -4 b Let u = -18.9 + 6.9. Let q = 11.9 + u. Which is the nearest to q? (a) 0.09 (b) -0.2 (c) -2 b Suppose 4*r = 2*l - 22, -138 = 5*l + 3*r - 128. Let y = -0.7 + 0.2. Which is the nearest to l? (a) -1 (b) -4 (c) y c Let v be (6/(-7))/3 - -1. What is the nearest to -2/7 in v, 0.5, -3/2? 0.5 Let l = 3.4 - 6.4. What is the closest to 1/3 in 36, 0.3, 1/4, l? 0.3 Let q be 2/(-4)*4/3. Let w = 1/8896 + -17825/293568. Which is the nearest to q? (a) w (b) -3 (c) 5/2 a Let i be (-123)/21 - 17/119. Let b = 0.11 - 0.01. What is the closest to b in i, 0.5, 0.03? 0.03 Let b = 241/56 + -31/7. Let f = -0.12 - -1.12. What is the closest to 0 in 0.1, b, f? 0.1 Let p be (296/370)/((-2)/5 + 2). Let z be (-8)/(-18)*2/(-4). What is the closest to p in 2, -3/2, z? z Let m = -0.2 - -0.1. Let w = 10/101 - -81/202. Which is the closest to w? (a) -1 (b) 1 (c) m b Let k = -78/7 + 11. Let z = -17 + 17.1. What is the closest to z in -4, 5, k? k Let n = 250 - 249.96. Which is the nearest to n? (a) 0.03 (b) 3 (c) -4 (d) -0.4 a Let v(o) = 2*o**2 + 9*o - 1. Let q be v(-7). Suppose d - q = -16*d. What is the closest to d in 0.3, -2, -1/4? 0.3 Let m be 6/(-21) - 74/(-14). Let d = -102 - -63. Let r = 38 + d. Which is the nearest to r? (a) m (b) -2 (c) 3/2 b Let r = -21.3 + 21. Let i(v) be the first derivative of -v**3/3 + 3*v**2/2 - 2*v - 1. Let f be i(2). Which is the closest to 0? (a) f (b) r (c) -0.1 a Let u be -4 + 2 + 1*-44. Let v = u + 183/4. Let p = 35 + -34.6. What is the closest to -1 in v, 4, p? v Let y = 69.4 + -71. Which is the nearest to -1? (a) -3 (b) -0.1 (c) -0.5 (d) y c Let f = -11.5 - -12. Let o = -16 - -16.3. What is the closest to -1 in o, -0.1, f? -0.1 Let s = -380.9 + 381. Let z be 6/(-4) + (-4)/(-2). What is the nearest to z in s, 0.5, 0.2? 0.5 Suppose -22*l + 6 = 3*a - 21*l, l = 3*a. Let n = -10 - -15. What is the closest to 0 in a, -6/5, n? a Let m be 2 + 5/(25/(-20)). Let d = 58.6 - 59. Which is the nearest to 0.08? (a) d (b) -4 (c) m a Let f = 118 - 122. What is the nearest to -0.28 in 3/7, f, 4? 3/7 Let z be 6/(-9) + (-2)/(-1). Let f = 1685.4 + -1685.4. Which is the closest to f? (a) z (b) 0 (c) 4 b Let i = 420 + -421. Which is the nearest to i? (a) -3/2 (b) 0.4 (c) -3 (d) 2 a Let h(f) = -6*f + 8. Let v be h(2). Let p be -2*((-3 - v) + -2). Suppose -q + 5 - 1 = 0. Which is the closest to -1? (a) p (b) -2 (c) q b Let z = -184 + 182. Which is the nearest to -2? (a) -4/5 (b) z (c) 52 b Let q = 134 + -130. Let x = 91 + -92. Which is the closest to x? (a) q
{ "pile_set_name": "DM Mathematics" }
at is the third derivative of i*n**2 + 3 + 3*n**5 - 2 - 1 wrt n? 180*n**2 Let b(x) = -21*x + 24. Let u(a) = -10*a + 1 + 9*a + 0. Let w(y) = -b(y) + 15*u(y). What is the first derivative of w(l) wrt l? 6 Suppose -w - 10 = -6*w. Find the second derivative of -w*m + 4*m + m**2 - m**5 - m**2 wrt m. -20*m**3 Let a = -6 + 9. What is the second derivative of -1 + a*g + 8 - 7 + 4*g**4 wrt g? 48*g**2 Let z(a) = 9*a**4 + 4*a**2 - 5*a + 5. Let q(u) = 8*u**4 + 4*u**2 - 4*u + 4. Let j(c) = 5*q(c) - 4*z(c). What is the third derivative of j(w) wrt w? 96*w Suppose 5*l + 27 = 3*f - 16, 15 = 5*f + 3*l. Find the third derivative of -i**f + 4*i**6 - 2*i**2 - 2*i**6 wrt i. 120*i**3 Let r(i) be the first derivative of 4*i**6/3 + 4*i**2 + 3. Find the second derivative of r(c) wrt c. 160*c**3 Suppose -f - 9 + 4 = -h, 10 = 4*f + 2*h. Find the second derivative of f*i**2 + 2*i**3 + 0*i**2 - 6*i + 8*i wrt i. 12*i Let u = 13 - 9. What is the first derivative of -2 + u - c + 2*c - 3 wrt c? 1 What is the third derivative of 4*h**4 - 50*h**4 + 19*h**4 + 18*h**2 wrt h? -648*h Let b(o) = -o**2 - 2*o. Let z be b(-2). What is the second derivative of 2*k**4 - k + z*k - k wrt k? 24*k**2 Let c(t) = -4*t**3 + 6*t**4 + 4*t**3 + 0*t**4 + 20*t. Let z(u) = -u**4 - u. Let s(b) = -c(b) - 10*z(b). What is the second derivative of s(d) wrt d? 48*d**2 Find the third derivative of 3 - 3 + 25*l**4 - 8*l**2 wrt l. 600*l Let p be 68/16 - (-2)/(-8). Let v be ((-2)/3)/((-1)/3). Find the third derivative of -t**p - t**4 + 4*t**2 - v*t**2 wrt t. -48*t Let u(l) be the second derivative of -l**11/6930 - l**7/315 - l**4/3 - 2*l. Let y(b) be the third derivative of u(b). Find the third derivative of y(a) wrt a. -960*a**3 Suppose 0*k - 51 = -3*k. Find the second derivative of -23*n**5 + 9*n + k*n**5 + 10*n**5 wrt n. 80*n**3 Find the second derivative of -4*g**5 + 6*g - 3*g + g**5 wrt g. -60*g**3 Suppose 1 = -0*w - w. Let b be 2 - (0 + 3)/w. Find the second derivative of -r - 2*r**b + 0*r - r wrt r. -40*r**3 Let o(u) = u**3 + 3*u**2. Let f(x) = -x**3 - 2*x**2. Let s(a) = -a + 1. Let w be s(-4). Let v(m) = w*f(m) + 4*o(m). Find the third derivative of v(g) wrt g. -6 Let u(j) = -3*j + 2. Let z be u(-1). What is the third derivative of -z*v**2 + 6*v**3 + v**2 - v**2 + 2*v**2 wrt v? 36 Let b = -2123/12 - -177. Let n(w) be the second derivative of 3/2*w**2 - b*w**4 + 2*w + 0 + 0*w**3. What is the first derivative of n(g) wrt g? -2*g Let r(w) be the second derivative of -9*w**6/10 - 5*w**2 + 8*w. What is the first derivative of r(f) wrt f? -108*f**3 Let p(z) be the third derivative of 0*z + 0 + 1/8*z**4 - z**3 - z**2. What is the first derivative of p(d) wrt d? 3 Let z(m) be the third derivative of m**7/280 + m**4/8 - m**3/2 + 2*m**2. Let n(p) be the first derivative of z(p). What is the derivative of n(r) wrt r? 9*r**2 Let z(t) be the second derivative of -11*t**5/20 + 2*t**2 + 9*t. Differentiate z(u) with respect to u. -33*u**2 Let v(x) = 2*x - 7. Suppose 5*z - 21 = 2*w, 3*w = 3*z + 2*z - 24. Let g(m) = m - 8. Let i(a) = w*v(a) + 2*g(a). What is the derivative of i(l) wrt l? -4 Let f be (2/(-4))/(-12 + 9). Let w(n) be the first derivative of -n**2 + f*n**6 + 0*n + 0*n**4 + 0*n**3 + 0*n**5 + 1. Find the second derivative of w(m) wrt m. 20*m**3 Let g(k) = -k**2 - 2*k + 3. Let u be g(-3). Let t be (1 + 0)*3*1. What is the second derivative of -2*d**2 + t*d + u*d - 4*d wrt d? -4 Differentiate -34*l**3 + 28 + 14*l**4 + 34*l**3 wrt l. 56*l**3 Let d(c) be the second derivative of 0 - 1/21*c**7 + 0*c**2 + 0*c**5 + 1/2*c**3 + 0*c**6 + 0*c**4 + 4*c. What is the second derivative of d(s) wrt s? -40*s**3 Let h be 2 - (-3 + 3)/(-3). What is the second derivative of -5*t**4 - 7*t**4 + h*t + 17*t**4 wrt t? 60*t**2 Let u(j) = j**2 - 1. Let w be u(-2). Differentiate -4 - 2 + 3 - a**w + 7 wrt a. -3*a**2 Suppose 0 = 2*z - 0*z - 6. Suppose -4*o + 3*s = 5, -s = -5*o + 1 + 1. Differentiate 3*h**3 + o - z - h**3 wrt h. 6*h**2 Let u(z) = 2*z - 3. Let a be u(3). Let w = 0 + a. Find the second derivative of -2*t**2 - 3 + w - 2*t wrt t. -4 Let a(p) = -69*p**3 + 56*p**2 + 9. Let m(l) = 17*l**3 - 14*l**2 - 2. Let u(j) = 2*a(j) + 9*m(j). What is the third derivative of u(o) wrt o? 90 Suppose q - 2*u + 6*u - 18 = 0, -u = -2*q. What is the second derivative of 2*s**2 + q*s - 2*s + s wrt s? 4 Suppose 0 = 4*u - 0*u - 12. Differentiate 1 + 3 + q**u - 5 wrt q. 3*q
{ "pile_set_name": "DM Mathematics" }
from {d: 4, f: 6, b: 7}. 3/68 What is prob of picking 2 p and 2 b when four letters picked without replacement from {p: 3, b: 1, y: 1}? 0 Three letters picked without replacement from pmoppvommo. What is prob of picking 1 m and 2 o? 3/40 Three letters picked without replacement from {o: 2, c: 16}. Give prob of picking 1 c and 2 o. 1/51 Calculate prob of picking 1 s and 3 p when four letters picked without replacement from ppppppspppppppp. 4/15 Two letters picked without replacement from {c: 1, i: 2, j: 1, n: 1}. Give prob of picking 1 j and 1 i. 1/5 What is prob of picking 2 k, 1 b, and 1 r when four letters picked without replacement from {b: 1, k: 2, h: 1, r: 2, o: 1, t: 1}? 1/35 What is prob of picking 2 v and 1 y when three letters picked without replacement from bbvvvybbbz? 1/40 Two letters picked without replacement from {r: 2, s: 2, e: 6, w: 2}. Give prob of picking 1 w and 1 s. 2/33 What is prob of picking 3 j when three letters picked without replacement from {j: 10}? 1 What is prob of picking 1 j and 1 t when two letters picked without replacement from ujt? 1/3 Calculate prob of picking 2 m when two letters picked without replacement from {m: 5, r: 11}. 1/12 Two letters picked without replacement from awwccgjww. Give prob of picking 1 w and 1 c. 2/9 Calculate prob of picking 2 q when two letters picked without replacement from pppppxqppxqxpxqp. 1/40 Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {w: 1, b: 1, t: 1, y: 2}. 1/10 Calculate prob of picking 1 m and 2 b when three letters picked without replacement from mbppbphpbpphhpm. 6/455 Two letters picked without replacement from {m: 2, f: 1, h: 1, s: 3, r: 1, k: 5}. Give prob of picking 2 k. 5/39 Four letters picked without replacement from {v: 8, u: 5, y: 3}. Give prob of picking 2 v and 2 y. 3/65 Two letters picked without replacement from vvnn. What is prob of picking 2 v? 1/6 Three letters picked without replacement from {v: 7, g: 3}. Give prob of picking 2 v and 1 g. 21/40 Two letters picked without replacement from {f: 1, j: 1, w: 2, p: 3}. Give prob of picking 1 j and 1 w. 2/21 Calculate prob of picking 3 o and 1 p when four letters picked without replacement from {o: 4, k: 7, b: 2, p: 1}. 4/1001 Three letters picked without replacement from jvvvjvfvvvvvwvfjvq. Give prob of picking 2 j and 1 v. 11/272 Four letters picked without replacement from jjkkjjerejjekjkekjjj. What is prob of picking 1 r and 3 e? 4/4845 Four letters picked without replacement from {n: 5, v: 9}. What is prob of picking 1 n and 3 v? 60/143 What is prob of picking 1 a, 2 t, and 1 g when four letters picked without replacement from {q: 1, v: 1, t: 5, g: 3, a: 2}? 4/33 What is prob of picking 1 t and 2 y when three letters picked without replacement from ymnntnnnmttyn? 3/286 Calculate prob of picking 1 c, 1 j, and 1 d when three letters picked without replacement from {d: 1, g: 4, i: 1, c: 4, j: 1}. 4/165 Calculate prob of picking 1 n and 1 v when two letters picked without replacement from {j: 1, v: 2, n: 1, m: 1, w: 1, f: 2}. 1/14 What is prob of picking 1 x and 1 o when two letters picked without replacement from {o: 7, q: 1, x: 1}? 7/36 Calculate prob of picking 3 g and 1 f when four letters picked without replacement from afgnaagrggf. 4/165 Three letters picked without replacement from lhshsssxslhhixxh. What is prob of picking 1 s, 1 h, and 1 i? 5/112 Calculate prob of picking 1 h and 1 n when two letters picked without replacement from vxkhvvnxvxkvxn. 2/91 Two letters picked without replacement from {o: 1, y: 2, i: 1}. What is prob of picking 1 o and 1 i? 1/6 Three letters picked without replacement from mllcrfllf. What is prob of picking 1 m, 1 c, and 1 r? 1/84 Two letters picked without replacement from {e: 9, t: 3}. Give prob of picking 2 t. 1/22 What is prob of picking 1 b, 1 s, 1 u, and 1 i when four letters picked without replacement from ubfbsssffsi? 4/165 What is prob of picking 3 h when three letters picked without replacement from {h: 10}? 1 Calculate prob of picking 1 s, 2 h, and 1 u when four letters picked without replacement from {w: 3, s: 4, u: 1, h: 2, v: 1, b: 7}. 1/765 What is prob of picking 2 l, 1 c, and 1 b when four letters picked without replacement from ffulcbuwuwwuluful? 3/2380 Three letters picked without replacement from eennennncuuuuuuun. Give prob of picking 1 c, 1 n, and 1 e. 9/340 Three letters picked without replacement from {g: 3, m: 12}. Give prob of picking 1 m and 2 g. 36/455 Four letters picked without replacement from {b: 5, x: 2, j: 6}. What is prob of picking 3 j and 1 b? 20/143 Two letters picked without replacement from {u: 3, e: 8, f: 5}. Give prob of picking 2 e. 7/30 What is prob of picking 1 o and 2 b when three letters picked without replacement from bbllobboolboblo? 15/91 Three letters picked without replacement from {g: 2, a: 3}. Give prob of picking 3 a. 1/10 Calculate prob of picking 3 m when three letters picked without replacement from {j: 4, m: 7, v: 1, h: 2, b: 4, l: 1}. 35/969 What is prob of picking 4 n when four letters picked without replacement from unfnmmnunmmnundu? 3/364 Calculate prob of picking 1 i and 2 s when three letters picked without replacement from aiaiisfixsxixxisf. 9/340 What is prob of picking 1 j and 1 o when two letters picked without replacement from {a: 8, o: 2, y: 5, j: 2}? 1/34 Calculate prob of picking 2 o when two letters picked without replacement from ooewoeoweoeoeoe. 1/5 Three letters picked without replacement from {h: 1, b: 3}. Give prob of picking 1 h and 2 b. 3/4 Calculate prob of picking 1 x and 1 e when two letters picked without replacement from ezzzxxzzzz. 2/45 What is prob of picking 2 u when two letters picked without replacement from {u: 9, e: 2}? 36/55 Two letters picked without replacement from zdbfk. What is prob of picking 1 z and 1 k? 1/10 Four letters picked without replacement from {t: 2, k: 3, f: 3}. Give prob of picking 2 f, 1 t, and 1 k. 9/35 Calculate prob of picking 3 f when three letters picked without replacement from {f: 4, w: 3, h: 10, k: 1}. 1/204 Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {i: 1, t: 1, f: 1, c: 1, q: 1, x: 2}. 1/21 Calculate prob of picking 3 f and 1 k when four letters picked without replacement from {s: 1, k: 7, f: 12}. 308/969 What is prob of picking 2 n when two letters picked without replacement from nyyycycncnnnnnyycy? 7/51 What is prob of picking 1 c and 1 n when two letters picked without replacement from cbbbbcnccbc? 1/11 Calculate prob of picking 1 p, 1 e, and 2 n when four letters picked without replacement from p
{ "pile_set_name": "DM Mathematics" }
Evaluate (25/20)/(100/440). 11/2 Evaluate (-5)/105*-7*-4*-3. 4 (14/(-3))/7*(-9)/7 6/7 Evaluate (4/(-8))/(287/164). -2/7 Calculate -8*((-24)/(-1200))/((-4)/10). 2/5 Evaluate (54/18)/(1*(-6)/4). -2 What is the value of 1*2/2*(-2096)/524? -4 What is the value of ((-184)/16)/23*16? -8 Evaluate 100/(-12)*(-15)/25. 5 Evaluate (6/4)/3*12/18. 1/3 Evaluate 3*(-2)/2*2/2. -3 Calculate (1*1*-1)/((-20)/10). 1/2 What is the value of (34/119)/(3/21)? 2 (-4)/(-30)*18/(-4) -3/5 Evaluate ((-2)/1)/1*(-381)/(-254). -3 What is the value of ((-3)/12)/(10/(90/9))? -1/4 Calculate (42/28)/((-4)/8). -3 What is 2/(-4)*0/(-17)? 0 Evaluate 975/130*3*(-4)/(-15). 6 What is the value of ((-408)/30)/(-34)*30/4? 3 (28/14)/(8/1) 1/4 What is the value of (-8)/(-4)*(-48)/(-32)? 3 Calculate ((-45)/162)/((-35)/84). 2/3 Evaluate -27*(-12)/(-36)*(-2)/12. 3/2 (1/3)/((-20)/(-12)) 1/5 Evaluate 7/(63/(-72))*-1. 8 Evaluate (4/14)/((-3)/(-210)*5). 4 What is -1*(-2)/18*3*0? 0 What is the value of (1*32/(-12))/((-24)/54)? 6 (-5*(-4)/15)/((-4)/6) -2 What is (1/(1/(-2)))/(113/(-226))? 4 ((-3)/(3/8))/(2*-5) 4/5 Calculate -7*(-2)/693*9. 2/11 Evaluate (6/24*-6)/((-1)/2). 3 What is the value of (-11)/(264/90)*2/5? -3/2 What is the value of ((-10)/(-35))/((-128)/56)? -1/8 Evaluate (-6)/(((-96)/(-80))/(3/5)). -3 Calculate 3/3*136/17. 8 What is 3/174*(32/4)/2? 2/29 Evaluate (1/(-2))/((-5)/(-40)). -4 What is the value of (2/2)/((-85)/(-17))? 1/5 What is the value of (((-36)/(-15))/6)/(6/(-10))? -2/3 Evaluate (-21)/14*1*3/(-6). 3/4 What is the value of (((-108)/(-40))/9)/((-3)/(-4))? 2/5 Evaluate (-25)/(-175)*14/(-2). -1 What is the value of 16/(-80)*(-15)/(-9)? -1/3 What is ((-3)/5)/(162/(-60))? 2/9 Calculate 2/(((-4)/12)/(-1)*6). 1 What is ((-2)/(-2))/(2/18)? 9 ((-2)/(-2))/((98/4)/(-7)) -2/7 Evaluate ((-15)/2)/(-5)*(-8)/30. -2/5 What is 1/(-5)*(-55)/(-11)? -1 What is the value of (-126)/72*(2*4)/(-2)? 7 What is the value of -3*1/(-1)*(-23)/23? -3 What is ((-15)/9)/((-16)/(-24))? -5/2 Evaluate ((-1)/((-1)/(50/5)))/(-2). -5 Calculate 1*54/(-4)*(-10)/(-15). -9 Evaluate (7/245*-10)/((-18)/14). 2/9 What is ((-3)/9)/(((-8)/12)/(-2))? -1 What is the value of ((-18)/(-15))/(7/(105/6))? 3 What is ((-21)/63)/((-4)/(-2))? -1/6 What is 0/(-1)*2/4? 0 1302/(-93)*(-2)/28 1 What is the value of 1*9/27*0? 0 What is 1/(-2*(-5)/(-30))*1? -3 What is the value of 6/(-10)*4/((-24)/(-6))? -3/5 What is 0*((-20)/12)/(-5)? 0 2/(-2)*27/9 -3 What is ((-19)/95)/((-3)/(45/2))? 3/2 What is (155/(-31))/((-2)/2)? 5 What is the value of 10*8*7/112? 5 (-1)/(-6)*(-80)/(-100) 2/15 ((-6)/(-78))/(23/46) 2/13 What is 8/10*55/22? 2 Evaluate (56/(-16))/((-28)/40). 5 What is (24/15)/4*(-5)/3? -2/3 Calculate 10/((-50)/10)*3/(-8). 3/4 Evaluate ((-80)/(-60))/(3*(-4)/(-54)). 6 What is 1/(-46)*4/(-1)? 2/23 2/((-4)/3)*(-880)/(-4620) -2/7 Evaluate ((-2)/8*-6)/(-9*1). -1/6 What is 1*(-9)/3*(-14)/168? 1/4 Evaluate (24/36)/(-1)*-3. 2 Evaluate 12*((-7)/(-3))/7*1. 4 What is the value of ((-5)/(-2))/(45/36)? 2 Evaluate (1/2)/((-6)/(-18)). 3/2 What is (9/((-810)/10))/(1/(-6))? 2/3 What is the value of (6/(-15))/(-3*4/120)? 4 36/30*(-15)/6 -3 Calculate (21/27)/(28/252). 7 What is ((-6)/(-2))/((-5)/((-30)/63))? 2/7 (((-9)/2)/(-9))/((-2)/16) -4 What is the value of 58/(-261)*2*3/(-4)? 1/3 What is (-108)/270*14/(-4)? 7/5 Calculate (-72)/81*(18/(-4))/(-3). -4/3 Evaluate (4/(-42))/(((-128)/(-12))/16). -1/7 (8/(-12))/(24/18) -1/2 What is the value of (-15)/3*-4*2/(-10)? -4 Calculate ((-28)/(-14))/(-2)*1. -1 What is -1*-4*10/(-8)? -5 What is the value of (-5*6/(-15))/(2*-1)? -1 Calculate (-3*(-10)/(-60))/(1/10). -5 Calculate (-54)/(-27)*9/6. 3 20/(-5)*1*(-1)/2 2 Calculate (-1)/((-4)/(24/6)*2). 1/2 Evaluate 1/(((-2)/(-4))/1). 2 What is ((-2)/(-12)*4*-3)/14? -1/7 Evaluate (8/14)/((-58)/(-406)). 4 Calculate (15/105)/(1/(-7)). -1 Calculate 28*(-15)/(-60)*-1. -7 Calculate (6/(-9))/(((-11)/(-9))/(-11)). 6 Calculate 1*(-8)/(-10)*5. 4 Evaluate (-8)/40*-5*2/4. 1/2 Evaluate 4/3*(-30)/50. -4/5 What is 1/(2/(4*5/(-50)))? -1/5 What is the value of -6*4/288*-3? 1/4 Evaluate (6/(4/32*6))/14. 4/7 What is the value of (174/290)/(2/10)? 3 What is the value of (-1*(-1)/(-7))/(1/(-3))? 3/7 What is -4*(-1)/8*0? 0 Evaluate ((-1)/((-3)/2))/(4/3). 1/2 0/(((-7)/70)/(3/(-30))) 0 ((-6)/4)/((-12)/(-16)) -2 What is (-22)/88*(-4)/1? 1 3*(-6)/36*4/1 -2 What is 4/64*4/(-2)*1? -1/8 What is 3*7/42*-10? -5
{ "pile_set_name": "DM Mathematics" }
m(y) = 0. Calculate y. -18, 1/7 Let a(h) be the first derivative of -h**6/300 - 3*h**5/50 - 2*h**4/5 - 16*h**3/15 - 18*h**2 - 3*h - 92. Let f(p) be the second derivative of a(p). Factor f(d). -2*(d + 1)*(d + 4)**2/5 Let 531*s - 1149/2*s**2 - 108 - 21/2*s**5 + 69/2*s**4 + 255/2*s**3 = 0. What is s? -4, 2/7, 1, 3 Let i = 371369 - 371365. Factor -16/5 - i*d**2 + 34/5*d + 2/5*d**3. 2*(d - 8)*(d - 1)**2/5 Let r(t) be the first derivative of 29*t**4/22 + 178*t**3/33 + 6*t**2/11 + 1228. Factor r(k). 2*k*(k + 3)*(29*k + 2)/11 Let 1/2*h**2 + 17161/2 - 131*h = 0. Calculate h. 131 Suppose 414*f + 948*f = 296*f - 210*f - 2410*f. Determine p, given that 1/4*p**4 + 3/8*p**3 + f + 0*p + 1/8*p**2 = 0. -1, -1/2, 0 Let j(d) be the third derivative of 3*d**8/34 + 164*d**7/595 - 797*d**6/1020 + 2*d**5/255 + 55*d**4/204 - 2*d**3/17 - 1387*d**2. Solve j(h) = 0 for h. -3, -2/7, 1/6, 1 Suppose -328*t + 205 = -287*t. Let x(j) be the second derivative of 12*j + 0 + 1/6*j**3 + 0*j**2 + 3/40*j**t + 29/72*j**4. Let x(u) = 0. Calculate u. -3, -2/9, 0 Let f be (-20)/(-5)*((-3 - -2) + 2). Determine b so that 1 - 5*b**2 + f*b**2 - 2 + 0 - 1 - 3*b = 0. -2, -1 Let z be (-11)/22 - (1 + 734/(-4)). Suppose -5 = -2*o - 1. Factor y**3 - z - y**o + 182. y**2*(y - 1) Let g(p) = p**3 + 14*p**2 + 19. Let c be g(-14). Let 63*z**2 + 196*z**4 - 31*z - 191*z**4 + 42*z**2 - 60*z**3 - c*z = 0. What is z? 0, 1, 10 Suppose 3*t + 2*c - 81 = 2*t, c + 69 = t. Let b = 75 - t. Factor -3 - 1/3*n**b - 2*n. -(n + 3)**2/3 Let p be (-353 - -1)*((-45)/6 - -7). Let v = 1411/8 - p. Suppose 0 - v*o**2 + 9/8*o = 0. What is o? 0, 3 Let m(q) = 7*q - 328. Let c be m(-42). Let v = -3094/5 - c. Factor -12/5*a**2 + v*a - 4/5. -4*(a - 1)*(3*a - 1)/5 Let w(l) = 12*l**4 - 24*l**3 + 36*l**2 + 36*l + 4. Let f(z) = -25*z**4 + 43*z**3 - 71*z**2 - 73*z - 9. Let h(y) = -4*f(y) - 9*w(y). Factor h(o). -4*o*(o - 4)*(o - 2)*(2*o + 1) Let r(p) be the first derivative of -p**4/14 - 34*p**3/21 - 76*p**2/7 - 120*p/7 + 2422. Factor r(c). -2*(c + 1)*(c + 6)*(c + 10)/7 Let y be (-3*16/(-1440))/((-36)/(-240)). Let 4/9*q**3 - y + 2/3*q**2 + 0*q = 0. What is q? -1, 1/2 Let j(r) = 5*r**3 + 7*r**2 + r - 7. Let l(h) = 7*h**3 + 7*h**2 + h - 7. Suppose -2*w = 4*i + 22, 0*i - 4*i = -4*w - 8. Let s(v) = i*l(v) + 4*j(v). Factor s(f). -(f - 7)*(f - 1)*(f + 1) Suppose -418369 - 185720 - 9*s**2 + 5*s**2 + 5000*s - 645911 - s**2 = 0. Calculate s. 500 Let c = -1419262/9 - -157697. Factor -2/3 - c*l + 1/9*l**3 - 4/9*l**2. (l - 6)*(l + 1)**2/9 Let n(w) be the third derivative of 0 + 2*w**4 + 1/15*w**6 + 0*w + 3/5*w**5 + 8/3*w**3 + 61*w**2. Let n(l) = 0. Calculate l. -2, -1/2 What is u in -1274 + 5025*u**4 + 7144*u + 274 + 26905*u**3 - 315*u**5 + 1674*u + 532*u - 28565*u**2 = 0? -5, 2/7, 1/3, 20 Let g(j) be the second derivative of -3*j**7/7 - 134*j**6/15 - 4993*j**5/90 - 1876*j**4/27 - 784*j**3/27 + 2*j - 343. Solve g(b) = 0 for b. -7, -4/9, 0 Let g be (-444)/(-16) + (-4)/(-16). Suppose 121*u + g = 125*u. Determine d, given that -1 - 5*d + 7*d + 6*d - u + 6*d**2 = 0. -2, 2/3 Factor -39/4*w**2 - 1/4*w**3 - 139/2*w - 60. -(w + 1)*(w + 8)*(w + 30)/4 Suppose 0 = -4*a + 28 - 4. Factor -27*b + a - 318*b**2 + 96*b + 57*b**2. -3*(3*b - 1)*(29*b + 2) Let h = 4/205 - 332/205. Let p = h + 82/45. Factor 0 + 10/9*q + p*q**3 + 4/3*q**2. 2*q*(q + 1)*(q + 5)/9 Let w = 238455 + -238452. Factor -3*x - 1/2*x**4 - 2*x**2 + 5/2 + 3*x**w. -(x - 5)*(x - 1)**2*(x + 1)/2 Let c be 3/(-7)*(8/(-10) + 465/(-75)). Let p(m) be the second derivative of -1/8*m**2 - 1/20*m**5 - 1/4*m**c - 5*m - 3/16*m**4 - 1. Factor p(s). -(s + 1)**2*(4*s + 1)/4 Let d = -10418 + 364631/35. Let x(u) be the second derivative of 0 - 2/7*u**3 - 4/7*u**2 + d*u**5 + 0*u**4 + 16*u. Factor x(v). 4*(v - 2)*(v + 1)**2/7 Let x(z) be the second derivative of -3*z**5/80 + 91*z**4/8 - 1012*z**3 - 6348*z**2 - 1529*z. Let x(l) = 0. Calculate l. -2, 92 Let y(
{ "pile_set_name": "DM Mathematics" }
8 + u)*(-39)/2. Suppose a*n - 23*n - 174 = 0. Does 5 divide n? False Let v = 8764 - 8263. Does 11 divide v? False Suppose 23*r + 52*r = 210300. Does 97 divide r? False Suppose 28*s - 26*s - 68524 = -2*b, 3*s = 5*b - 171342. Does 106 divide b? False Let d be 8*-7 - (1 - 0). Suppose a + 1 + 43 = -5*z, 3*a + 146 = -z. Let y = a - d. Is y a multiple of 3? False Suppose 3*o + 4*b - 9636 = -b, 4*o = 3*b + 12848. Is o a multiple of 21? False Let p be (-4)/(-9 + 430/50). Let q be -2 - -2 - (0 + -25). Is 23 a factor of (7 - 160/q) + 914/p? True Suppose 8*l - 24 - 96 = 0. Does 31 divide 7/(-35) + 5163/l + -1? False Let d(t) = -5*t - 15. Let s be d(-3). Suppose s = 3*u + 4*n - 3, 5*u = -4*n + n - 6. Does 3 divide ((-21)/(-6) + u)/(1/24)? True Suppose 195 = 4*n + 4*i - 353, 0 = -n + 2*i + 128. Suppose 377*h = 394*h + 1734. Let b = h + n. Is b a multiple of 16? True Let y be (2 + 418)*((-77)/14)/(-11). Let h = y - -1044. Does 38 divide h? True Let w be (28/6 + 0)*(-468)/(-24). Let y = w - 49. Does 7 divide y? True Let f = 3149 + -988. Is 13 a factor of f? False Let x(i) be the second derivative of i**4/2 + 55*i**3/6 + i**2 + 57*i. Is x(-14) a multiple of 8? True Let u(b) = -2*b**2 - 6*b + 1. Let w be u(-3). Let c(k) = -191*k**3 - k**2 - 2*k + 2. Let x be c(w). Is 28 a factor of ((x/30)/4)/((-2)/210)? True Let l(n) = 323*n + 1200. Is 54 a factor of l(12)? True Let k(l) = 2*l**3 - 12*l**2 + l + 9. Let s be k(6). Suppose 8*t - s = 3*t. Suppose 2*u = -t - 3, 0 = -4*c - 2*u + 722. Does 14 divide c? True Suppose 3*h + 5*y + 19 = 0, h + 4*y + 28 = 5*h. Let s be (-4)/8*h*-4. Suppose 5*u - 2*u + w = 141, s*u - 188 = -4*w. Is 21 a factor of u? False Let p(i) = -4*i + 72 - 104 + 0*i - 3*i - 3*i. Let k(a) = a**2 + 7*a + 4. Let n be k(-4). Is p(n) a multiple of 30? False Does 8 divide (-1902*5/15)/(2/(-16))? True Let q be 2259/(-12)*20/(-5). Let t = q - 536. Is 30 a factor of t? False Let i = -144 + 137. Does 15 divide i/(14/4) - -407? True Let n = -70 + 995. Let s = 1425 - n. Does 25 divide s? True Suppose -501991 + 298954 = -64*l + 574819. Does 10 divide l? False Let x be 7/1*(-10)/(-35). Suppose x*g - 14 = 4*g. Is 2 a factor of (g + 3 + 3)*-2? True Suppose 5*d - 34 = -f, 4*d + 4*f = 3*d + 22. Suppose d*i - 2*i + 260 = 0. Let w = -45 - i. Is 4 a factor of w? True Let l = 12439 - 11037. Is l a multiple of 4? False Suppose 38 = 2*s + 16. Let g(y) = -3*y**2 - 5*y - 2. Let r(p) = p**2 + 2*p + 1. Let j(m) = -4*g(m) - 11*r(m). Is j(s) a multiple of 8? True Let f(x) = 22*x**2 + 2*x - 1. Let b be f(2). Suppose -3*t - 5 = 4*w + 133, -4*t - 188 = 4*w. Let g = t + b. Is g a multiple of 41? True Let l(b) = -1086*b - 2838. Is l(-5) a multiple of 3? True Let k(v) = v**3 - 2*v**2 - 2*v - 3. Let g be k(3). Suppose g = -3*a - 6*n + 2*n + 114, 5*a = 3*n + 190. Let u = a - 32. Is u a multiple of 3? True Is 21 a factor of (-296)/6*279/(-12)? False Let t be ((-2)/8)/(3/(-36)). Suppose t*r + 1 = 7. Suppose 7*q - x - 933 = r*q, 0 = -4*q + 2*x + 750. Does 35 divide q? False Let c(r) = -r**3 - 18*r**2 + 18*r - 17. Let l be c(-19). Suppose -2*j = -l*z - 0*z + 4, 3*j - 22 = -4*z. Is 40 a factor of (-5 - (-3 + 426))*j/(-8)? False Let l(r) = r**2 + 18*r - 21. Let n be l(-19). Let y be ((-33)/(-77))/(n/(-14)). Is 17 a factor of 17*(4 - (y + 0))*2? True Suppose 7*t + 5 = 40. Suppose -56 = -x + 2*x + 2*n, -t*x + n - 258 = 0. Let i = x - -125. Does 11 divide i? False Let p(w) = 121*w + 1. Let s be p(2). Suppose 3*z - 4*t - 1277 = 0, 2*t = 5*z - s - 1904. Is 58 a factor of z? False Suppose 139*h - 1 = 138*h, -5*n = h - 90056. Is n a multiple of 17? False Suppose -3*h + 407*l - 403*l = -5876, 5883 = 3*h + 3*l. Does 35 divide h? True Let x(d) = -d + 4. Let k be x(2). Suppose k*b - 4*b = 4*f + 122, -3*f - 87 = -3*b. Is 15 a factor of f/8*(-13 - 23)? True Suppose 0 = 832*w - 822*w - 384400. Is 62 a factor of w? True Let d(h) = -6*h - 39. Let i be d(-6). Is ((-1276)/i)/((-12)/(-18)) a multiple of 58? True Let p be (-6 - -5)*5/(-1). Suppose z + 101 = 2*z + p*h, -4*h = -5*z + 505. Let c = 146 - z. Does 15 divide c? True Let z be ((-7)/(-1) - (-3 + 5)) + -2. Suppose -z*y = -10*y + 266. Is y even? True Suppose -4*z - 6739 = -j - 826, 4*j + 4*z = 23732. Does 124 divide j? False Let q = 617 - -3613. Suppose -q = -16*s + s. Is s a multiple of 6? True Suppose -268*q + 3172 = -267*q. Is 96 a factor of q? False Let c be (-44)/(-10) - (-42)/(-105). Suppose 0 = c*q - k + 5*k + 12, 5*q = 3*k + 1. Is q/(2/4 + -1) a multiple of 2? True Suppose 0 = -39*w + 216 + 252
{ "pile_set_name": "DM Mathematics" }
- 2*o = -9. Let n(z) = -6*z**2 + 3*z + 1. Let y(p) = 17*p**2 - 9*p - 2. Let a(f) = 8*n(f) + 3*y(f). What is the lowest common multiple of o and a(2)? 24 Let c = 39466/9 - 4391. Calculate the common denominator of c and ((-14)/(-12))/((-10)/(-66)). 90 Suppose -4*p + 32 = -0. Let l = -12065 - -193119/16. Calculate the common denominator of l and 13/18 + p/(-12). 144 Let w be 4/(-4) - (-16098)/(-346). Let z = 9/346 + w. Let b = -463/5 - -89. Calculate the common denominator of b and z. 10 Let v = -3 - -3. Suppose 4*y = -v*h - 2*h + 32, -4*y = -5*h + 10. What is the smallest common multiple of 3 and h? 6 Let c be 5/(-10) + 436169/(-20). Let v = c - -21803. Find the common denominator of v and -43/2. 20 Suppose -2*m = -7*m + 50. What is the least common multiple of 7 + -4 + (6 - -1) and m? 10 Suppose -6*o + 5*w = -o + 65, -5*o = -3*w + 57. What is the common denominator of 28/11 and (6/o)/(64/(-516))? 88 Suppose 0 = -c + 5*m - 4*m + 7, -34 = -5*c + 4*m. What is the smallest common multiple of c and 44? 132 Let a = 0 + -4. Let o be a/(-6) + (-10)/6. Calculate the common denominator of -59/20 and 2 + o + (-318)/(-132). 220 Let n = -1929596 - -38582023/20. Let b = n + 1995/4. What is the common denominator of (-3507)/462 + (-16)/(-2) and b? 110 Suppose 8*k = 3*k. Suppose -3*r + v = -k*r - 12, v + 20 = 5*r. Calculate the least common multiple of 22 and r. 44 Let v be -1 - (-14 + 0 + -3). Suppose -v = -p - 5. What is the smallest common multiple of 4/10 - (-33)/5 and p? 77 What is the common denominator of 47/2 and 3 - (1 - 305/(-55))? 22 Let y(g) = 21*g - 2. Let w be y(-2). What is the common denominator of 0/(-4) - w/7 and 2*-5*1 + 1? 7 Let r(f) = 5*f**2 - 3*f + 3. Let o be r(2). Let d = o - 63. Calculate the common denominator of d and -7/6. 6 Suppose -4*x + 3*t - 98 = 0, 2*x = 3*t - 81 + 35. Let h = x - -6. Find the common denominator of ((-54)/h)/((-6)/15) and -15/14. 28 Let b = -861/80 + 157/16. Calculate the common denominator of b and ((-118)/100)/(4/10). 20 Suppose -2*p = p - 15. Calculate the lowest common multiple of (-5)/(-15) + (2 - (-14)/3) and p. 35 Suppose -2*g - g = 3*v - 24, 4*v - 3*g - 4 = 0. What is the smallest common multiple of 10 and v? 20 Let l(c) = -1174844*c - 2. Let x be l(3). Let g = -2001934585/568 - x. Let y = 11/71 - g. What is the common denominator of y and -11/3? 24 Suppose 2*q + 6 + 1 = f, -5*q = 3*f + 1. Suppose o - 10 = -4*x + 3*o, 3*o + f = 0. What is the smallest common multiple of 22 and x? 22 Let o = 3873 - 54259/14. What is the common denominator of 1 + ((-198)/4 - 1) and o? 14 Let g = 6 + -2. Suppose -r = g*r - 35. Find the common denominator of 3 - (1106/12)/r and 87/22. 66 Let w = -34 - -49. What is the least common multiple of w and 33? 165 Suppose -6*o + 56 = -2*o. What is the lowest common multiple of 10 and o? 70 Suppose 0 = 2*h + 5*r - 9, -3*r - 38 = -5*h - 0*h. Let x = 19 - h. What is the least common multiple of 28 and x? 84 Suppose 2*y = -0*y. Suppose -16 + y = -n. What is the least common multiple of n and 20? 80 Find the common denominator of (3 - (-196)/(-88))/1 and 95/6. 66 Suppose 2*y = 2*z + 3*y - 55, 0 = -3*z - y + 82. What is the least common multiple of z and 6? 54 Let i = 4841 + -87233/18. Let f = -68581417/21 + 677036180909/207312. Let q = f + -14/617. Find the common denominator of i and q. 144 Suppose 4*a = -4*v + 8*a - 120, -5*v + a - 130 = 0. What is the smallest common multiple of 4 and -1 - (-2 - v)/(-1)? 44 Let t = -9265965/964 + 9612. Let d = t + 23585/10604. Find the common denominator of d and -79/22. 22 What is the common denominator of 186/(-20) - (3 - 6) and 0 + 1 - 2/12? 30 Let h be (-2 - 0)/(0 - -1). Let n(t) = -t**3 + 2. Calculate the least common multiple of 2 and n(h). 10 Suppose 5*b = u - 57, -3*u - 2*u - 3*b + 369 = 0. What is the common denominator of -52/11 and 118/u - (-3)/12? 99 Let o = -1 - -3. Calculate the common denominator of (-236)/(-8)*2/5 and (-1)/o*(-48)/33. 55 Let z = -36 - -21. Let l = -9 - z. What is the common denominator of 53/11 and (-506)/(-60) + (-2)/l? 110 Let f(p) = 2*p**3 - 3*p**2 + 5*p - 8. Let l(o) = -3*o**2 + o. Let a be l(-1). Let r = a + 11. What is the smallest common multiple of r and f(2)? 42 Let y be 343 + (-1)/((-1)/(-1)). What is the common denominator of (4/6)/((-28)/y) and -37/8? 56 Let w(b) = b**2 + 6*b + 4. Calculate the least common multiple of 16 and w(-6). 16 Suppose -r - 2 = -0*r. Find the common denominator of (39/(-36))/((-1)/2) and -130*r/16 - 0. 12 Let v = 216893/18540 - -5/3708. Find the common denominator of (2/27)/(8/210) and v. 90 Find the common denominator of -3/14 and (-16)/20*107/8. 70 Let t = -497519/144220 - 2/7211. Suppose 2*g + 12 = -a, -2*a - 2*g + 3*g = -1. Find the common denominator of 106/4*a/10 and t. 20 Let p be (-4)/(-10) - 2469/(-165). Let a = p + -2015/66. Find the common denominator of a and -53/5. 30 Suppose 0*n - 5*n = -80. Let f = -1 - -19. What is the lowest common multiple of n and f? 144 Let d be (-26)/(-8) + (-3)/12. What is the common denominator of -19/2 and 318/12*d/12? 8 Let t be (2 + -3)/((-1)/5). Suppose -t*z - 2*d - 21 = 0, d = 3*z - 2*d. Find the common denominator of z + -1 + (-85
{ "pile_set_name": "DM Mathematics" }
07664 and 40876809. 8493 Calculate the greatest common divisor of 160 and 56138752. 32 Calculate the greatest common divisor of 21917833 and 112763. 1267 What is the highest common divisor of 3076298 and 5866? 838 Calculate the highest common factor of 1240 and 221880. 40 What is the greatest common divisor of 216 and 9755712? 72 Calculate the greatest common factor of 4571 and 40110. 7 Calculate the greatest common divisor of 3398137 and 20767. 1093 What is the highest common divisor of 9100042 and 1652? 826 Calculate the highest common divisor of 53017991 and 1837. 167 Calculate the highest common factor of 450 and 61240050. 450 Calculate the highest common factor of 116614272 and 11136. 384 Calculate the highest common factor of 4161 and 267983. 73 Calculate the highest common factor of 23520 and 165040. 80 Calculate the greatest common divisor of 69959052 and 263. 263 Calculate the greatest common divisor of 13226 and 78574. 34 What is the highest common divisor of 3825442 and 44132? 2006 What is the greatest common divisor of 38944787 and 4138? 2069 What is the greatest common factor of 1513 and 5074602? 1513 Calculate the highest common factor of 8069832 and 7344. 1224 What is the highest common divisor of 1815 and 60756399? 363 What is the highest common factor of 2849873 and 3748082? 11089 What is the greatest common divisor of 1740226 and 9936? 46 Calculate the highest common factor of 3642944 and 80. 16 What is the highest common factor of 217240794 and 1368? 342 Calculate the greatest common factor of 360 and 1333863. 9 Calculate the highest common divisor of 29640 and 32903. 13 What is the greatest common factor of 367875505 and 757? 757 Calculate the greatest common divisor of 3248 and 762874. 406 Calculate the greatest common factor of 2188 and 110284499. 547 What is the greatest common factor of 2600 and 19496? 8 What is the highest common factor of 25737600 and 105? 105 Calculate the highest common factor of 1263 and 7031963. 421 Calculate the highest common factor of 274 and 3730373. 137 What is the highest common factor of 309194 and 44144? 62 What is the greatest common factor of 2488216 and 1552? 8 Calculate the highest common divisor of 431985 and 1860. 465 What is the greatest common divisor of 144 and 2930152? 8 What is the greatest common factor of 697 and 25552921? 17 Calculate the greatest common factor of 483746941 and 4582. 2291 Calculate the highest common factor of 154 and 8487138. 22 What is the highest common divisor of 10288 and 6827374? 1286 What is the highest common factor of 13410398 and 6663? 2221 Calculate the greatest common divisor of 143138970 and 936. 234 What is the greatest common divisor of 132489363 and 13137? 453 Calculate the greatest common factor of 35743243 and 107. 107 What is the greatest common factor of 165 and 102365010? 165 What is the greatest common factor of 8428 and 1727446? 98 Calculate the highest common factor of 4100754 and 235046. 2282 Calculate the greatest common factor of 29055 and 82469265. 2235 What is the greatest common divisor of 394497 and 4367151? 6921 Calculate the highest common factor of 66 and 5011149. 33 What is the greatest common factor of 15985060 and 208? 52 Calculate the greatest common factor of 72 and 356340024. 72 What is the highest common divisor of 87625 and 17819420? 3505 What is the highest common factor of 57 and 1027582719? 57 Calculate the highest common factor of 12180 and 177216970. 2030 What is the highest common divisor of 4865765 and 26680? 3335 Calculate the greatest common factor of 323110886 and 3262. 3262 Calculate the greatest common divisor of 327173 and 35035. 539 What is the greatest common factor of 830 and 1488850? 10 What is the greatest common factor of 5698 and 316162? 154 What is the highest common factor of 291266661 and 2397? 2397 What is the highest common factor of 16743 and 109627583? 5581 Calculate the greatest common divisor of 14107435 and 1454. 727 Calculate the highest common factor of 150453 and 766938. 219 Calculate the highest common divisor of 17235 and 829035. 45 Calculate the highest common divisor of 9898755 and 6. 3 Calculate the highest common divisor of 46478163 and 9. 3 What is the greatest common divisor of 373870800 and 492? 492 What is the highest common divisor of 305 and 106627? 1 What is the highest common factor of 10338 and 74538? 6 What is the greatest common divisor of 11837406 and 187089? 1239 What is the greatest common factor of 330020040 and 105? 105 Calculate the greatest common factor of 1358448 and 324. 12 Calculate the greatest common factor of 4962531 and 147. 21 What is the greatest common divisor of 1974 and 2140068? 42 Calculate the highest common divisor of 33912243 and 108. 27 What is the highest common factor of 6575365 and 560? 5 What is the greatest common factor of 28025620 and 3500? 140 Calculate the greatest common factor of 10496 and 736928. 32 Calculate the highest common divisor of 215429 and 47547. 587 What is the highest common factor of 12870 and 73450? 130 Calculate the greatest common factor of 4260 and 63829. 71 What is the greatest common divisor of 2701 and 638093? 73 Calculate the greatest common divisor of 2040 and 21239800. 680 Calculate the highest common factor of 901401 and 6. 3 What is the greatest common divisor of 14891184 and 263109? 3927 What is the greatest common factor of 307815536 and 41? 41 Calculate the highest common factor of 92460 and 5531730. 690 What is the highest common divisor of 3894 and 43907622? 66 What is the greatest common divisor of 1296 and 57470256? 432 What is the greatest common factor of 1367 and 10999? 1 Calculate the highest common factor of 2127 and 4648204. 709 Calculate the highest common divisor of 3 and 215682147. 3 What is the greatest common factor of 4 and 73749772? 4 Calculate the highest common factor of 26963 and 488533. 457 Calculate the highest common divisor of 35157465 and 35. 35 What is the highest common factor of 13409 and 214291? 253 What is the greatest common divisor of 14800 and 30070640? 2960 Calculate the greatest common factor of 288 and 3473696. 32 Calculate the highest common factor of 5940 and 18645. 165 Calculate the highest common factor of 48168 and 1440. 72 Calculate the greatest common factor of 3543600 and 6000. 1200 What is the highest common factor of 504380937 and 10554? 5277 What is the greatest common factor of 11865220 and 20? 20 Calculate the greatest common divisor of 87642342 and 108. 18 Calculate the highest common divisor of 20655 and 1743945. 255 Calculate the highest common divisor of 117842 and 16. 2 Calculate the highest common divisor of 6992 and 989. 23 What is the highest common divisor of 738 and 18899442? 738 What is the highest common factor of 24290760 and 24219? 897 What is the greatest common factor of 200 and 7491850? 50 What is the highest common divisor of 13353237 and 18? 9 What is the greatest common divisor of 433110 and 185? 5 What is the highest common factor of 272279 and 13968? 97 Calculate the greatest common divisor of 28992 and 4469751. 453 Calculate the greatest common divisor of 447256 and 1702. 74 Calculate the highest common divisor of 58 and 4554871. 1 What is the greatest common divisor of 1286 and 66944659? 643 What is the highest common divisor of 113671601 and 89? 89 What is the greatest common factor of 1441369 and 4941? 61 Calculate the greatest common divisor of 2198576637 and 93. 93 Calculate the greatest common factor of 195 and 115554621. 39 What is the greatest common factor of 4435
{ "pile_set_name": "DM Mathematics" }
base 6) in base 7? -215 What is 60 (base 7) in base 9? 46 What is -24 (base 10) in base 13? -1b What is -7 (base 8) in base 13? -7 What is 10 (base 9) in base 12? 9 What is -88 (base 9) in base 11? -73 2 (base 6) to base 13 2 Convert 64 (base 10) to base 7. 121 What is 36 (base 9) in base 14? 25 Convert 10 (base 3) to base 9. 3 -33 (base 12) to base 15 -29 11 (base 13) to base 5 24 110 (base 2) to base 8 6 What is 2 (base 15) in base 13? 2 What is 6e (base 15) in base 5? 404 What is 13 (base 10) in base 7? 16 What is -100 (base 2) in base 4? -10 Convert 200 (base 3) to base 7. 24 Convert 212 (base 3) to base 10. 23 What is 40 (base 5) in base 12? 18 a (base 11) to base 12 a What is 21 (base 6) in base 5? 23 What is -47 (base 12) in base 6? -131 What is -4 (base 11) in base 15? -4 -9 (base 14) to base 13 -9 -d (base 14) to base 3 -111 What is -622 (base 7) in base 12? -21a Convert -6 (base 14) to base 4. -12 Convert 116 (base 7) to base 14. 46 What is -7 (base 10) in base 12? -7 What is -4 (base 9) in base 13? -4 What is -6 (base 16) in base 8? -6 2132 (base 4) to base 3 12212 What is 1100110 (base 2) in base 8? 146 -1 (base 2) to base 4 -1 120 (base 6) to base 14 36 -64 (base 13) to base 15 -57 What is 0 (base 6) in base 5? 0 -4 (base 14) to base 2 -100 24 (base 15) to base 4 202 24 (base 11) to base 13 20 What is -13 (base 10) in base 11? -12 What is -20 (base 5) in base 15? -a Convert 2 (base 4) to base 8. 2 2 (base 8) to base 14 2 Convert -3 (base 10) to base 5. -3 -35 (base 15) to base 2 -110010 -1301 (base 5) to base 6 -533 Convert -6 (base 11) to base 5. -11 -3 (base 10) to base 15 -3 What is 10001001 (base 2) in base 15? 92 17 (base 9) to base 3 121 Convert 1000 (base 3) to base 8. 33 What is -12 (base 3) in base 10? -5 What is 0 (base 6) in base 10? 0 What is -2 (base 10) in base 14? -2 Convert -231 (base 6) to base 15. -61 Convert -23 (base 6) to base 3. -120 What is 4 (base 5) in base 10? 4 Convert ca (base 13) to base 9. 204 What is -10011 (base 2) in base 11? -18 What is -5 (base 6) in base 12? -5 What is -4 (base 7) in base 8? -4 What is 12 (base 15) in base 7? 23 -2 (base 12) to base 7 -2 121 (base 4) to base 5 100 Convert -17 (base 13) to base 12. -18 Convert 3 (base 4) to base 5. 3 Convert -1 (base 13) to base 15. -1 What is 20 (base 11) in base 2? 10110 What is -135 (base 7) in base 4? -1023 7 (base 10) to base 11 7 Convert 314 (base 7) to base 12. 112 -21 (base 4) to base 7 -12 -10 (base 13) to base 16 -d -1 (base 11) to base 10 -1 3 (base 9) to base 6 3 -4 (base 12) to base 7 -4 What is 7 (base 12) in base 11? 7 What is 1 (base 2) in base 9? 1 Convert 47 (base 11) to base 7. 102 -1 (base 14) to base 13 -1 Convert -11 (base 2) to base 5. -3 What is 11 (base 9) in base 12? a What is -36 (base 8) in base 16? -1e b (base 15) to base 13 b -4 (base 10) to base 13 -4 121 (base 10) to base 12 a1 -100101 (base 2) to base 4 -211 Convert -1 (base 9) to base 4. -1 What is -48 (base 9) in base 8? -54 Convert 322 (base 6) to base 3. 11112 What is -22122 (base 3) in base 9? -278 What is 122 (base 3) in base 15? 12 5 (base 16) to base 15 5 What is 1 (base 2) in base 9? 1 2 (base 11) to base 9 2 What is -f (base 16) in base 15? -10 Convert -10 (base 4) to base 7. -4 What is -134 (base 6) in base 14? -42 -5 (base 7) to base 15 -5 What is -1 (base 4) in base 9? -1 What is 0 (base 3) in base 15? 0 Convert -83 (base 13) to base 5. -412 Convert -2 (base 14) to base 15. -2 102 (base 4) to base 6 30 Convert aa (base 16) to base 13. 101 5 (base 15) to base 13 5 Convert -112000 (base 3) to base 16. -17a What is -1b3 (base 12) in base 16? -117 10110 (base 2) to base 16 16 What is 56 (base 10) in base 8? 70 Convert -4 (base 9) to base 14. -4 Convert 3 (base 7) to base 11. 3 Convert 0 (base 4) to base 13. 0 1 (base 7) to base 5 1 Convert 2100 (base 3) to base 6. 143 Convert 44 (base 10) to base 8. 54 What is 0 (base 12) in base 10? 0 What is 3 (base 4) in base 9? 3 What is 10 (base 6) in base 7? 6 What is -15 (base 7) in base 8? -14 Convert 147 (base 9) to base 5. 444 -17 (base 14) to base 15 -16 -1f (base 16) to base 7 -43 -100011 (base 2) to base 15 -25 Convert -126 (base 12) to base 5. -1144 26 (base 15) to base 5 121 -1100 (base 2) to base 12 -10 What is 1 (base 13) in base 4? 1 -a (base 11) to base 3 -101 What is 1 (base 5) in base 6? 1 Convert 11100111 (base 2) to base 15. 106 2 (base 10) to base 6 2 Convert 45 (base 10) to base 3. 1200 -144 (base 8) to base 5 -400 Convert -4 (base 10) to base 8. -4 -20 (base 6) to base 16 -c Convert 1 (base 12) to base 13. 1 What is 36 (base 12) in base 2? 101010 Convert -11 (base 3) to base 16. -4 511 (base 7) to base 8 375 Convert 73 (base 15) to base 13. 84 Convert 3 (base 5) to base 7. 3 What is -6 (base 9) in base 13? -6 Convert 2 (base 3) to base 6. 2 36 (base 8) to base 10 30 -100101 (base 2) to base 6 -101 What is
{ "pile_set_name": "DM Mathematics" }
are there in 884.8622 meters? 88486.22 How many months are there in three fifths of a millennium? 7200 How many seconds are there in one quarter of a hour? 900 What is one tenth of a century in decades? 1 How many nanograms are there in 83638.62 kilograms? 83638620000000000 How many months are there in 7277.44 centuries? 8732928 How many nanograms are there in 26/5 of a microgram? 5200 Convert 430.7083us to seconds. 0.0004307083 Convert 4.342519 millennia to years. 4342.519 What is eighty-one halves of a millennium in centuries? 405 Convert 1664.408 hours to milliseconds. 5991868800 What is five eighths of a litre in millilitres? 625 What is fifteen quarters of a litre in millilitres? 3750 How many micrometers are there in 5/8 of a millimeter? 625 What is 6/5 of a microgram in nanograms? 1200 What is 37000.02kg in grams? 37000020 How many millimeters are there in 244299.5nm? 0.2442995 How many nanoseconds are there in one quarter of a microsecond? 250 How many kilograms are there in 602.5685 tonnes? 602568.5 What is one fifth of a millennium in years? 200 What is 255.9136 nanograms in micrograms? 0.2559136 How many millilitres are there in twenty-seven fifths of a litre? 5400 What is seven halves of a week in minutes? 35280 What is 25.8076665 microseconds in days? 0.00000000029869984375 What is 1/6 of a minute in milliseconds? 10000 How many micrograms are there in 6432.581 tonnes? 6432581000000000 Convert 1.5458 litres to millilitres. 1545.8 What is 2.086023 centuries in months? 2503.2276 What is 13/5 of a week in minutes? 26208 How many micrograms are there in 4.006932kg? 4006932000 How many nanometers are there in 59087.94um? 59087940 How many hours are there in 52/3 of a week? 2912 How many seconds are there in 1/18 of a week? 33600 How many nanometers are there in 27/5 of a micrometer? 5400 What is 0.6608157 hours in milliseconds? 2378936.52 What is 4/15 of a millennium in months? 3200 What is 2/75 of a day in seconds? 2304 How many centimeters are there in 1/10 of a meter? 10 Convert 4.894044g to nanograms. 4894044000 What is fourty-nine fifths of a litre in millilitres? 9800 How many nanograms are there in 6/5 of a microgram? 1200 How many micrograms are there in 3/10 of a milligram? 300 What is 7/2 of a day in minutes? 5040 How many nanograms are there in 1/10 of a microgram? 100 How many days are there in 184895.19 microseconds? 0.000002139990625 Convert 1.983919 litres to millilitres. 1983.919 What is 7.788882 millilitres in litres? 0.007788882 What is 0.826697 years in millennia? 0.000826697 Convert 8670.2 minutes to nanoseconds. 520212000000000 What is 29/2 of a century in years? 1450 What is one tenth of a kilometer in meters? 100 How many kilograms are there in 3959.543ug? 0.000003959543 What is 504660.8 hours in microseconds? 1816778880000000 How many kilograms are there in 3/10 of a tonne? 300 Convert 7.851581 nanoseconds to milliseconds. 0.000007851581 Convert 749148.6 decades to millennia. 7491.486 Convert 8210960.1 nanoseconds to hours. 0.00000228082225 What is 3/50 of a meter in micrometers? 60000 What is 787.314t in milligrams? 787314000000 How many months are there in four thirds of a decade? 160 What is 863325.3 millilitres in litres? 863.3253 Convert 30900.41 years to decades. 3090.041 Convert 317716.3ml to litres. 317.7163 How many hours are there in thirteen eighths of a week? 273 Convert 98.47833g to nanograms. 98478330000 How many millilitres are there in 1/4 of a litre? 250 What is 6993.356ml in litres? 6.993356 What is 23/6 of a minute in seconds? 230 What is 0.8166579 litres in millilitres? 816.6579 How many nanometers are there in three tenths of a micrometer? 300 Convert 2.998054l to millilitres. 2998.054 How many milligrams are there in 0.4933142 micrograms? 0.0004933142 How many centuries are there in thirty-one fifths of a millennium? 62 How many millennia are there in 360.948 years? 0.360948 How many millimeters are there in 74138.21cm? 741382.1 How many nanograms are there in fifteen quarters of a microgram? 3750 What is seventy-three quarters of a century in months? 21900 What is fifty-four fifths of a second in milliseconds? 10800 How many nanometers are there in 0.727155 millimeters? 727155 What is 87/5 of a litre in millilitres? 17400 What is 2293845.6 months in years? 191153.8 How many months are there in 278401.3 millennia? 3340815600 What is 29.7349 millimeters in kilometers? 0.0000297349 How many years are there in 3/50 of a millennium? 60 What is fourty-six fifths of a tonne in kilograms? 9200 What is 6152.21s in milliseconds? 6152210 What is 0.4078769 litres in millilitres? 407.8769 Convert 6.843535 millilitres to litres. 0.006843535 How many months are there in one sixteenth of a century? 75 What is 27/2 of a litre in millilitres? 13500 What is 620819.9g in kilograms? 620.8199 How many millilitres are there in 5820.67 litres? 5820670 How many millennia are there in 2388.656 decades? 23.88656 What is 2/15 of a week in minutes? 1344 What is 2/7 of a week in minutes? 2880 How many years are there in 381468.9 millennia? 381468900 What is fifteen quarters of a litre in millilitres? 3750 What is 18/5 of a litre in millilitres? 3600 How many millennia are there in 4265.58 decades? 42.6558 What is eleven tenths of a millennium in decades? 110 How many kilograms are there in five eighths of a tonne? 625 How many micrograms are there in 3/40 of a milligram? 75 What is three fifths of a litre in millilitres? 600 What is 783162.2 minutes in seconds? 46989732 What is 17/2 of a microgram in nanograms? 8500 Convert 70481.8 minutes to microseconds. 4228908000000 Convert 116227.7 kilometers to nanometers. 116227700000000000 What is 87.9387kg in grams? 87938.7 How many milligrams are there in 1/4 of a gram? 250 How many milliseconds are there in 44.13281ns? 0.00004413281 How many seconds are there in 3/5 of a hour? 2160 Convert 0.1905494um to centimeters. 0.00001905494 Convert 499018.1 nanometers to meters. 0.0004990181 How many months are there in 5/6 of a year? 10 How many years are there in 1.2207747 months? 0.101731225 What is 76994.8cm in meters? 769.948 How many kilograms are there in 6.716889g? 0.006716889 What is 935353.6kg in grams? 935353600 Convert 8310.38t to micrograms. 8310380000000000 How many millilitres are there in 48544.96l? 485449
{ "pile_set_name": "DM Mathematics" }
rder. -89, -7, n Let m = -17 + 50/3. Let q = -111 - -74. Let i = 36.5 + q. Sort i, -0.3, m in decreasing order. -0.3, m, i Let a = 168955909/2478 + -477280/7. Let h = 2/177 - a. Put 3, 0, -0.1, h in decreasing order. 3, h, 0, -0.1 Suppose 20 = -f - 0*l + 3*l, 0 = -f + 2*l - 15. Sort f, -19, -2, 4 in ascending order. -19, f, -2, 4 Suppose 4*h - 6 = -10. Let f be 1 + (-20)/16 + h + 0. Let d = 1.5 + -2. Sort -2, f, d in descending order. d, f, -2 Let s be (-2 + 6)*(-2 - -3). Suppose -2*f + 4 = 4*t, t = 2*f - 3*t + s. Sort f, 8, 4. f, 4, 8 Suppose 2*p = c + 7, -13 = 5*p - 9*p + 3*c. Let r = 0 - 1. Sort 0.05, r, p in decreasing order. p, 0.05, r Let v = 187 + -182. Sort v, 0, -3, -7 in descending order. v, 0, -3, -7 Suppose 24*u = 25*u - 78. Let j = u + -391/5. Put j, 5, 2/13 in descending order. 5, 2/13, j Suppose -5*l - 11 = x, 5*x = -4*l + 2*x - 11. Let o be (-2)/45*(23 - l). Let c = 0.2 - -0.1. Sort o, c, 3. o, c, 3 Let d = -0.4 + -1.2. Let t = d + 1.51. Let k = 0.19 + t. Put 2/7, -1/3, k in increasing order. -1/3, k, 2/7 Let j(r) = -r**3 + 3*r**2 + 5*r. Let b be j(4). Suppose b*q - 2 = -6. Let x be (q/3)/(2/(-30)). Put x, -7, 1 in decreasing order. x, 1, -7 Let a(i) = -13*i**2 + 196*i + 7. Let d be a(15). Put -1, 7, d in descending order. d, 7, -1 Let d be ((77/(-105))/(-11))/(14/21). Let y = 1 - -1. Sort y, d, 0.2, 1 in increasing order. d, 0.2, 1, y Let a be (1 + -4)*(-7)/42*2. Sort 5, a, 67, -4 in increasing order. -4, a, 5, 67 Let p = 10.172 - 11.1. Let l = -0.072 + p. Let a = -16 - -11. Sort l, a, 0 in increasing order. a, l, 0 Suppose 3*t - 4*j - 3 = 8, 2*t + 5*j - 15 = 0. Let x be (-2)/t - 4/(-10). Suppose 4*n + 2*o - 2 = x, 5*n + 4*o - 5 = 2*o. Put -2, n, -3 in increasing order. -3, -2, n Let j be ((-2)/4)/(13/(-104)). Let r = -40 + 20. Let g = r + 17. Sort j, g, 1 in descending order. j, 1, g Let r = -8 - -16. Suppose -1 = h - r. Suppose 0*z = -z - 5*l + 11, h = -4*z - 3*l. Put 1, -3, z in ascending order. z, -3, 1 Let p = 2.6 + -1.8. Let z = 1.2 - p. Let q = 0 + z. Sort -1/2, -3/2, q in decreasing order. q, -1/2, -3/2 Let c = -28559/24 + 1190. Sort c, -1/8, 3/7. -1/8, c, 3/7 Let o(t) = t**3 - 4*t**2 + 2*t + 3. Let m be o(3). Suppose -4*d - 4*l + 16 = 0, -5*d + 10*l - 5*l - 10 = m. Sort d, -4, 4 in increasing order. -4, d, 4 Suppose 12 = 4*y - 0, 0 = -x - 2*y + 6. Sort x, -2, 7, -0.3 in increasing order. -2, -0.3, x, 7 Let a be 1/2*32/4. Let d be 2 + 2/(a/(-2)). Sort d, 0, 2. 0, d, 2 Suppose 0 = -6*r + 4*r. Let v be 11 - 1/(-3)*r. Let m = v + -10. Sort m, -1, 5. -1, m, 5 Let y(n) = -n + 18. Let j = 25 - 20. Let v be y(j). Put v, -3, 3 in decreasing order. v, 3, -3 Let h(r) = r**3 - 6*r**2 + 5. Let o(u) = u**3 + 4*u**2 - 3. Let v be o(-3). Let j be h(v). Suppose 74 + 25 = 33*n. Put n, j, 0 in ascending order. 0, n, j Let r be ((-10)/6 - -2)/(-1). Let a = -439 - -435. Sort -2, a, r, -3 in descending order. r, -2, -3, a Suppose 10 = -2*g, -11 = 4*y - 3*g + 10. Let v be (1 + 3/y)*15/2. Sort 1, 0, v, 2/17. 0, 2/17, 1, v Let b = -9266.5 - -9266. Let v = -1.5 - -0.4. Let l = 1 + v. Sort l, b, 3 in increasing order. b, l, 3 Suppose 11*j - 10 = -5*n + 6*j, 4*j = 0. Sort n, 13, 5 in descending order. 13, 5, n Let r = 519 + -514. Let o be -1 - 1/2*6. Sort -2, r, o in decreasing order. r, -2, o Suppose 7*c + 21 = 5*y + 9*c, -3 = y - 2*c. Put y, -0.1, 0.2, 2/17 in decreasing order. y, 0.2, 2/17, -0.1 Let d = -4/5 - -8/35. Let k = 3.177 - 2.82. Let g = 0.057 - k. Put g, d, 5 in decreasing order. 5, g, d Suppose 0 = 47*i + 66 + 75. Sort i, 4, 41 in increasing order. i, 4, 41 Suppose 0 = 5*t + p + 25, 2*t + 4*p + 6 = -4. Put t, 1, -18 in ascending order. -18, t, 1 Let a = 3.03 - 0.03. Sort a, -0.4, 12, 1/3 in decreasing order. 12, a, 1/3, -0.4 Suppose 2*u - 4*c + 4 = 0, -2*c + 4*c = -5*u + 14. Suppose 13956*a + 145 = 13927*a. Put a, -3, u, -7 in decreasing order. u, -3, a, -7 Let k = 20 - 34. Let v be 1*k/8 - 15/60. Put v, 1, 5 in decreasing order. 5, 1, v Let s = -63 - -65. Suppose b + 4 = -s*c, 4*c - b + 4 = -2*b. Let r = -5.05 + 0.05. Sort c, r, -2/11 in increasing order. r, -2/11, c Suppose 47*n = -70*n - 468. Put 6, 5, 3, n in ascending order. n, 3, 5, 6 Let d = -0.869 - 0.131.
{ "pile_set_name": "DM Mathematics" }
w = -30. Suppose 2*q + 3*r = r + 8, -5*r + m = q. Calculate the greatest common divisor of q and 14. 2 Suppose -2*c = w - 334, -3 + 1 = w. What is the greatest common factor of 24 and c? 24 Suppose 0 = -5*y + d + 124, -56 = -0*y - 3*y - 4*d. Calculate the highest common divisor of 36 and y. 12 Let p(s) = -3*s**2 - 2*s**2 + 2*s**2 - 3*s + 2*s**3 - 4. Let w be p(4). Calculate the greatest common divisor of w and 8. 8 Let m = -24 - -51. Calculate the highest common divisor of m and 135. 27 Suppose -5*d + 263 = 53. Calculate the highest common divisor of 7 and d. 7 Let w(m) = -m**3 - 17*m**2 - 6*m - 18. Let h be w(-17). Suppose 0 = 3*v - 6 - h. What is the greatest common divisor of 120 and v? 30 Let y(x) = 3*x**2 - 6*x + 5. Let n be y(3). What is the greatest common divisor of n and 42? 14 Let b = -68 + 113. Calculate the highest common factor of 5 and b. 5 Let a(t) = -3 - t**3 + 1 + 3*t**2 + 0*t**2. Let h be a(2). Suppose 2*c - c = -m + 13, -h*c - 8 = 0. What is the highest common divisor of 51 and m? 17 Let q = -516 + 736. Suppose 0 = -4*f + g + q, 4*g - 19 = 2*f - 129. What is the greatest common divisor of 11 and f? 11 Let j = -7 - -12. Suppose 0 = 4*h - j - 7. Suppose h*a - 37 = 6*n - 4*n, -4*a - n = -31. Calculate the highest common factor of a and 72. 9 Let b = 156 - 144. What is the greatest common divisor of b and 228? 12 Suppose 4*v + 0*u - 5*u = 21, -2*u - 6 = -v. What is the highest common factor of v and 4? 4 Suppose 0 = 4*i + 5*v - 20, 2*i + 3*i - 25 = -5*v. Calculate the highest common divisor of i and 25. 5 Suppose 0 = 12*s - 7*s + 4*p - 20, -12 = -3*s + 3*p. Calculate the greatest common factor of 32 and s. 4 Let r(g) = -g**3 - 8*g**2 + g + 10. Let b = 14 - 22. Let c be r(b). Calculate the greatest common factor of 8 and c. 2 Let j = 22 - 17. Calculate the highest common divisor of j and 20. 5 Suppose -3*k + 4*u = -20, -u = -5*k + u + 24. What is the highest common divisor of 1 and k? 1 Suppose 0 = -4*s + 2*l + 10, -5*l = 4*s - 4*l - 7. Suppose -32 = -s*h - 4*b, 3*h - 5*h - 5*b + 35 = 0. Calculate the greatest common divisor of 90 and h. 10 Let o = 99 + -98. Calculate the greatest common factor of o and 3. 1 Let g(d) = d**3 + 2*d**2 + d + 78. Let f be g(0). Calculate the highest common divisor of 26 and f. 26 Let d = 6 + -2. Let g be 146/d - 2/4. Suppose 0*n = -2*n + 180. Calculate the highest common divisor of g and n. 18 Let n(p) = -p**3 - 9*p**2 + 11*p + 11. Let g be n(-10). Let i = 2 + g. Suppose -w - 12 = -3*l - 4*w, l = 3*w. Calculate the highest common factor of i and l. 3 Suppose -3*d = -4*p + 65, -2*d - 12 = -p + 8. Let o = p - 12. Suppose 0*a = -a + 14. What is the greatest common factor of a and o? 2 Suppose -35 = p - 6*p. Calculate the greatest common divisor of 28 and p. 7 Let p(q) be the first derivative of -4*q**3 - 2*q**2 - 3*q + 2. Let k be p(-3). Let d = -55 - k. Calculate the greatest common factor of d and 4. 4 Let z(j) = -j**3 + 6*j**2 + 3*j. Let u be z(6). Let d(w) = -14*w - 24. Let g be d(-3). Calculate the highest common divisor of u and g. 18 Let t = 30 + 45. Calculate the greatest common divisor of 30 and t. 15 Suppose 4*a - 10 + 2 = 0. Suppose 55 = a*z + 3*z. What is the highest common divisor of z and 44? 11 Let g(q) = 7*q**2 - 5*q + 7. Let w be g(4). Calculate the greatest common factor of w and 11. 11 Let h(u) = u**2 + 10*u + 2. Let i be h(-10). Suppose -2 = i*c - 30. Calculate the greatest common divisor of c and 35. 7 Let u be (-1)/1 + 2 + 1. Let z(w) = -5*w**3 - 2*w**2 - w. Let t be z(-1). Suppose 5*h = 21 + t. Calculate the greatest common divisor of u and h. 1 Let m = 123 - 117. Calculate the highest common factor of m and 12. 6 Let d = 241 + -142. What is the highest common factor of 11 and d? 11 Let s(j) = -6*j - 16*j**2 - 14 - 10*j**2 + 27*j**2. Let o be s(9). Calculate the highest common divisor of 39 and o. 13 Suppose 6*r - 375 = r. Suppose 0*s - r = -3*s. Calculate the highest common factor of 25 and s. 25 Suppose 5*l - 45 = -4*u, 2*l - 7*u + 3*u = -10. Suppose -25 = -g + 25. Calculate the greatest common divisor of g and l. 5 Suppose -w + 5*w - 24 = 0. Calculate the greatest common factor of w and 9. 3 Let o(u) = -51*u - 2. Let s be o(-1). Suppose 4*v + s = 5*t + 162, 3*t = -v + 7. Let j(q) = q. Let b be j(2). What is the highest common divisor of v and b? 2 Let c be -3*1 + (6 - -2). Suppose q + 3*j - 22 = c*j, 0 = q + 3*j + 3. Calculate the greatest common divisor of 96 and q. 12 Suppose -8*l + 4*l = -884. Let x = l + -93. What is the greatest common divisor of x and 16? 16 Suppose w = 3*w - 28. Suppose u + 3 = w. Calculate the greatest common factor of 55 and u. 11 Let h(w) = -7*w - 74. Let r be h(-17). Let t(v) = v**2 + v - 1. Let p be t(2). What is the highest common divisor of r and p? 5 Let q(v) = -4*v**2 - 13*v - 6. Let n(o) = o**2 - 1. Let m(w) = 3*n(w) + q(w). Let c be m(-9). What is the highest common factor of c and 9? 9 Let w = 10 - 7. Suppose w*j + 65 = 5*t - 1, 2*j = 4*t - 54. Calculate the highest common divisor of 105 and t. 15 Suppose 2*j - 3*t = 10, 2*t = j + 3*t. Let z be (-10)/(-4) + 15/(-10). What is the greatest common factor of j and z? 1 Let u(m) = m**2 + 2*m - 2. Let f be u(-3). What is the highest common divisor of 3 and f? 1 Let k = -3 - -4. Let g
{ "pile_set_name": "DM Mathematics" }
ed without replacement from nnnnnfnf? 1/28 What is prob of sequence bb when two letters picked without replacement from bqqbqqqqqq? 1/45 Three letters picked without replacement from {g: 1, h: 1, f: 1, l: 1, a: 2, w: 1}. What is prob of sequence lhw? 1/210 Two letters picked without replacement from pzpzvpppzppzp. Give prob of sequence vv. 0 Four letters picked without replacement from vavvvavvavv. Give prob of sequence avaa. 1/165 Four letters picked without replacement from {u: 1, j: 6, n: 1, v: 8, f: 4}. Give prob of sequence ffnv. 4/4845 Calculate prob of sequence dte when three letters picked without replacement from {d: 2, g: 2, e: 4, t: 2}. 1/45 Calculate prob of sequence ich when three letters picked without replacement from {h: 1, c: 3, i: 1}. 1/20 Calculate prob of sequence wjje when four letters picked without replacement from ejewjewjewjjjeejjeew. 224/14535 What is prob of sequence pllp when four letters picked without replacement from {p: 2, l: 2}? 1/6 Two letters picked without replacement from {c: 1, k: 1, a: 1, n: 1, o: 1}. What is prob of sequence nk? 1/20 Calculate prob of sequence ft when two letters picked without replacement from {x: 3, f: 1, y: 2, h: 2, w: 3, t: 1}. 1/132 What is prob of sequence iiii when four letters picked without replacement from iiihiihii? 5/18 Calculate prob of sequence hi when two letters picked without replacement from {l: 3, i: 1, g: 1, e: 1, h: 6, j: 5}. 3/136 What is prob of sequence mddd when four letters picked without replacement from bbddgbddddjddbbdgm? 7/1020 Three letters picked without replacement from hgghhhghhhggghhhhh. What is prob of sequence ggh? 5/68 Three letters picked without replacement from {j: 4, o: 16}. Give prob of sequence jjj. 1/285 Three letters picked without replacement from laelvrvvlallvale. Give prob of sequence eea. 1/560 Calculate prob of sequence dppy when four letters picked without replacement from {v: 1, d: 1, y: 1, p: 2}. 1/60 Calculate prob of sequence tddd when four letters picked without replacement from qdtddqdgdddtdd. 6/143 Four letters picked without replacement from mgdiiiiiimigmbmii. What is prob of sequence imid? 3/595 What is prob of sequence bxjb when four letters picked without replacement from lxblslbbbbj? 1/396 What is prob of sequence bcqk when four letters picked without replacement from {q: 2, i: 7, b: 1, k: 3, c: 1}? 1/4004 Three letters picked without replacement from ooojvjvovv. What is prob of sequence vvo? 1/15 Calculate prob of sequence kka when three letters picked without replacement from akicikccckci. 1/220 Four letters picked without replacement from {d: 2, c: 2, x: 1, j: 1, g: 2, z: 5}. Give prob of sequence jzgg. 1/1716 Two letters picked without replacement from htzkhzehhezwhzekhheh. What is prob of sequence tw? 1/380 What is prob of sequence pi when two letters picked without replacement from {f: 1, y: 1, p: 1, i: 4, g: 8, s: 1}? 1/60 Two letters picked without replacement from {o: 2, q: 4, a: 3}. What is prob of sequence qo? 1/9 What is prob of sequence izqz when four letters picked without replacement from {z: 5, i: 14, q: 1}? 7/2907 What is prob of sequence dii when three letters picked without replacement from diioi? 1/10 Four letters picked without replacement from lzzallzzllla. Give prob of sequence zazz. 2/495 Three letters picked without replacement from {o: 2, h: 1, w: 3, z: 1, p: 4, i: 7}. Give prob of sequence ppp. 1/204 What is prob of sequence oa when two letters picked without replacement from aaaoaaaoaaoaoaao? 11/48 Three letters picked without replacement from {b: 5, s: 3, a: 1, c: 6, h: 5}. Give prob of sequence cbh. 5/228 Two letters picked without replacement from cntunyt. What is prob of sequence ny? 1/21 What is prob of sequence oooo when four letters picked without replacement from {o: 7, x: 2, z: 8, f: 3}? 7/969 Two letters picked without replacement from rrgrl. Give prob of sequence gr. 3/20 Three letters picked without replacement from fbbf. What is prob of sequence bfb? 1/6 Calculate prob of sequence gy when two letters picked without replacement from ygg. 1/3 What is prob of sequence cc when two letters picked without replacement from {g: 2, d: 4, c: 3, w: 1, m: 1, i: 1}? 1/22 What is prob of sequence mxt when three letters picked without replacement from {v: 7, t: 8, x: 1, m: 2}? 1/306 What is prob of sequence ww when two letters picked without replacement from mmuctjuwttwcwt? 3/91 What is prob of sequence aaa when three letters picked without replacement from aaqnanannq? 1/30 Calculate prob of sequence dcd when three letters picked without replacement from {d: 2, c: 2}. 1/6 Three letters picked without replacement from eeeeee. What is prob of sequence eee? 1 Four letters picked without replacement from {v: 4, g: 6}. Give prob of sequence ggvv. 1/14 Four letters picked without replacement from {h: 3, j: 1, f: 1, v: 8, a: 6}. Give prob of sequence jafa. 5/15504 What is prob of sequence ww when two letters picked without replacement from sbwswwrwwsyww? 7/26 Two letters picked without replacement from cfcccycxxfcf. What is prob of sequence cc? 5/22 Three letters picked without replacement from {p: 2, h: 4, j: 1}. Give prob of sequence phj. 4/105 Two letters picked without replacement from zrwla. Give prob of sequence lr. 1/20 Calculate prob of sequence hdgn when four letters picked without replacement from gnhdddwdddddddknndd. 1/2584 Calculate prob of sequence jig when three letters picked without replacement from {z: 7, j: 1, n: 1, g: 1, i: 2, v: 2}. 1/1092 Three letters picked without replacement from nkxkopyp. What is prob of sequence kyx? 1/168 Three letters picked without replacement from xxxxgxxgxx. Give prob of sequence gxg. 1/45 What is prob of sequence qf when two letters picked without replacement from {f: 6, q: 2, z: 10, w: 2}? 3/95 Four letters picked without replacement from ahuhuhuhaul. Give prob of sequence lauu. 1/330 Four letters picked without replacement from {j: 3, q: 1, v: 2, o: 1, b: 4}. What is prob of sequence jbbo? 1/220 Four letters picked without replacement from {l: 1, e: 19}. Give prob of sequence eele. 1/20 Four letters picked without replacement from eveeseyuvvv. Give prob of sequence eesu. 1/660 Four letters picked without replacement from {e: 1, k: 2, x: 7, b: 2, g: 6}. What is prob of sequence ebgb? 1/6120 What is prob of sequence sk when two letters picked without replacement from {k: 2, x: 1, s: 1, i: 5}? 1/36 Calculate prob of sequence ipi when three letters picked without replacement from ipiufpuiiffufufpuff. 2/323 Two letters picked without replacement from kkkykkykxk. Give prob of sequence yy. 1/45 Three letters picked without replacement from fskxslkl. Give prob of sequence ksk. 1/84 Calculate prob of sequence u
{ "pile_set_name": "DM Mathematics" }
)*(q + 1) Determine u, given that -4*u**4 - 572*u**3 + 5440*u**2 - 4864*u = 0. -152, 0, 1, 8 Determine x so that 2*x**3/3 + 1240*x**2/3 + 7378*x/3 + 6140/3 = 0. -614, -5, -1 Factor 24843*n**3/5 + 30030*n**2 + 6564*n/5 + 72/5. 3*(n + 6)*(91*n + 2)**2/5 Suppose -3*i**5/2 + 435*i**4/2 - 1845*i**3 + 1200*i**2 + 3264*i = 0. What is i? -1, 0, 2, 8, 136 Find z, given that 8*z**4 - 313216*z**3 + 313210*z**2 - 78302*z = 0. 0, 1/2, 39151 Determine o so that 9*o**5 - 2*o**4 - 243*o**3 - 396*o**2 - 116*o + 48 = 0. -4, -1, 2/9, 6 Determine a, given that -2*a**5/9 - 16*a**4/3 + 142*a**3 + 4220*a**2/9 + 56*a/3 - 624 = 0. -39, -2, 1, 18 Find z such that -3*z**4/2 + 15*z**3/2 - 15*z**2/2 - 15*z/2 + 9 = 0. -1, 1, 2, 3 Solve -f**4/8 - 519*f**3/8 = 0 for f. -519, 0 Find h, given that 10*h**4/3 - 10119*h**3/2 - 32678*h**2/3 - 1014*h + 3040/3 = 0. -2, -2/5, 1/4, 1520 Factor -x**3/4 + 23847*x**2/4 + 238770*x + 2388700. -(x - 23887)*(x + 20)**2/4 Solve 2*x**2/9 - 4*x/3 - 30 = 0. -9, 15 Find d such that 3*d**5/2 - 1143*d**4/2 + 107061*d**3/2 + 360639*d**2/2 - 1394496*d + 1161216 = 0. -7, 1, 3, 192 Suppose -42*x**4 - 718*x**3 - 3428*x**2 - 3008*x - 256 = 0. Calculate x. -8, -1, -2/21 Factor 4*k**3/7 - 2496*k**2 + 19542420*k/7 - 1004972184/7. 4*(k - 2157)**2*(k - 54)/7 Solve -5*d**2 - 468955*d + 468960 = 0. -93792, 1 Suppose -2*a**4 + 82598*a**3 + 165202*a**2 + 82602*a = 0. Calculate a. -1, 0, 41301 Solve -5*s**5/2 - 141*s**4 - 779*s**3 + 1210*s**2 + 15675*s/2 - 8125 = 0. -50, -5, 1, 13/5 Factor -24*d**3 + 1364*d**2 - 6168*d + 7072. -4*(d - 52)*(d - 2)*(6*d - 17) Solve 2*z**2/11 + 746*z/11 + 2220/11 = 0 for z. -370, -3 Factor -5*r**4 + 16065*r**3 - 12944280*r**2 + 64320400*r. -5*r*(r - 1604)**2*(r - 5) Factor -2*f**3 + 5440*f**2. -2*f**2*(f - 2720) Factor 13248*a**3 + 28*a**2. 4*a**2*(3312*a + 7) Factor -3*b**2/8 + 4953*b/4 - 22167. -3*(b - 3284)*(b - 18)/8 Factor 2*n**2/19 + 388*n/19 + 16770/19. 2*(n + 65)*(n + 129)/19 Suppose 90*b**5 - 435*b**4 - 980*b**3 + 1945*b**2 + 1140*b - 1260 = 0. What is b? -7/3, -1, 2/3, 3/2, 6 Let s**4/7 - 176*s**3/7 + 9493*s**2/7 - 182262*s/7 + 788544/7 = 0. Calculate s. 6, 37, 96 Factor 192589938*a**2/5 - 39252*a/5 + 2/5. 2*(9813*a - 1)**2/5 Suppose 4*o**2 + 2508*o + 7488 = 0. Calculate o. -624, -3 Factor 2*u**4/3 + 65168*u**3 + 4777531244*u**2/3 - 3185216336*u + 4777922258/3. 2*(u - 1)**2*(u + 48877)**2/3 Find v such that -2*v**4/3 - 190*v**3/9 - 1318*v**2/9 - 2866*v/9 - 460/3 = 0. -23, -5, -3, -2/3 Let -4*j**4/3 - 1012*j**3/3 - 664*j**2 + 4048*j/3 + 8032/3 = 0. What is j? -251, -2, 2 Let 5*d**2 + 241245*d + 241240 = 0. What is d? -48248, -1 Factor -2*t**2/17 + 2190*t/17 - 896. -2*(t - 1088)*(t - 7)/17 Factor 3*b**4 + 60*b**3 + 159*b**2 - 2310*b - 8712. 3*(b - 6)*(b + 4)*(b + 11)**2 Factor 3*n**3/4 - 113283*n**2/2 + 453123*n/4 - 56640. 3*(n - 75520)*(n - 1)**2/4 Determine a, given that a**2/9 - 56*a/3 - 340/9 = 0. -2, 170 Suppose 5*v**3 + 6355*v**2 + 31620*v - 37980 = 0. Calculate v. -1266, -6, 1 What is w in w**5/2 + 24*w**4 - 99*w**3/2 + 25*w**2 = 0? -50, 0, 1 Factor 3*s**2/5 - 51132*s/5 + 217873452/5. 3*(s - 8522)**2/5 Factor 2*s**2 - 4110*s + 97488. 2*(s - 2031)*(s - 24) Determine y, given that -y**3/7 - 268358*y**2/7 - 18004004041*y/7 = 0. -134179, 0 Suppose -3*u**3 + 213*u**2 - 3516*u + 6204 = 0. What is u? 2, 22, 47 Find r, given that 2*r**2/5 + 408*r/5 + 10726/5 = 0. -173, -31 Let g**4/3 + 2431*g**3 + 4394400*g**2 - 415717564*g/3 = 0. What is g? -3662, 0, 31 Factor -4*g**2 + 16260*g + 1040256. -4*(g - 4128)*(g + 63) Factor -51005*z**2 - 373700*z - 684500. -5*(101*z + 370)**2 Suppose 2*z**2/7 + 1626*z/7 = 0. What is z? -813, 0 Factor 2*f**5 - 1844*f**4 - 14880*f**3. 2*f**3*(f - 930)*(f + 8) Factor k**5 - 401*k**4 + 1170*k**3 + 9524*k**2 + 11144
{ "pile_set_name": "DM Mathematics" }
- 1)*-2. Solve a + 12 = -4*r for r. -4 Let w = 52 + -102. Let b be 5/(w/4)*5. Let t be 52/8*2 + b. Solve 3*i - t = 1 for i. 4 Let v = 32 - 133. Let c = 113 + v. Solve -7*f + 3*f = c for f. -3 Suppose -i + 4*j + 11 = 0, 3*i + 2*j = 4*j + 23. Solve i*a = 6*a - 5 for a. -5 Suppose 130 = 4*b + 2*a, -35 = -b - 2*a + 5. Let y = -26 + b. Solve -y*p = -3 + 7 for p. -1 Let f be (26/(-22) - -1) + (-42)/11. Let d be 4 - 7 - f - (-2 + 3). Solve 0 = -d*c + 3*c for c. 0 Let n = -16 - -21. Let s = -3 + n. Solve 0 = -x - s*x for x. 0 Let s be 2/7 + (-54)/(-7). Solve 3*p + 5 = s for p. 1 Let u = -162 + 162. Solve n + 7*n - 8 = u for n. 1 Let v be -5*(-1 - (-3 + 3)). Solve 0 = -5*c + v + 10 for c. 3 Let f = -44 + 52. Let a = 4 - -1. Solve a = 3*l - f*l for l. -1 Let p = -57 + 62. Solve 0 = -p*n - 18 - 2 for n. -4 Suppose -5*q = 10*q - 30. Suppose 1 = -k - q, -k = 3*l. Solve -l + 3 = -p for p. -2 Let a be 165/9 - 26/(-39). Solve -21*j - 2 = -a*j for j. -1 Let m(c) = -c**3 + c**2. Let x(i) = -5*i**3 + i**2 + i + 1. Let b(o) = -6*m(o) + x(o). Let j be b(5). Suppose -5*g + 3*g = -j. Solve g*a + 2*a + 20 = 0 for a. -4 Suppose -5*n = l + 2 + 19, 5*l = -3*n + 5. Suppose 4*k + 4*y = 3*k - l, -4*k = 5*y + 5. Solve k = -o - o - 10 for o. -5 Let z be 2*12/5*(-20)/(-8). Solve z - 2 = -2*d for d. -5 Suppose -p = 2*d - 8, 2*d - p - 7 + 3 = 0. Suppose 0 = d*u + t + t, -5*u = 2*t. Solve -a = -u*a for a. 0 Let t = 239 + -237. Solve -8 = t*g - 0 for g. -4 Suppose -297 = 3*y - 3*j, -3*j + 13 = -2. Let o = -92 - y. Solve -8 = -2*w - o for w. 3 Suppose 0*g + 4*g = 0. Suppose -6 = -12*y + 9*y. Solve y*a = -g*a for a. 0 Suppose 5*u = -c - 5, -3*u - 3 = c + 4. Let a be 255/c*4/(-6). Let t = a - 9. Solve -5*n + 12 = -t*n for n. -4 Let t(w) = w - 6. Let b be t(12). Suppose r - b*r = 0. Let c be (r/(-9))/(0 - -1). Solve -5*p + 1 - 16 = c for p. -3 Let l be (4/8)/(((-5)/2)/(-5)). Let i be (15/(-6))/(l - 20/16). Solve -i = n - 3*n for n. 5 Let b be (0/13)/((-6)/(-3)). Solve 22*h - 10*h - 60 = b for h. 5 Suppose 6*j = 2*j + 3*d + 25, -8 = j + 4*d. Let a(p) = -3*p + 10. Let o be a(2). Suppose 20 = j*r + o. Solve r*c = c for c. 0 Suppose 5*x + 17 = -g + 40, 2*x = -5*g + 46. Solve 0 - 8 = -g*z for z. 1 Suppose 32*u - 58*u = -104. Suppose 5*z - 5*t = -2*t + 49, 47 = 5*z - 4*t. Let g = z + -3. Solve u = -3*j - g for j. -4 Let m = -1205 - -1209. Solve m*f + 8 = -0*f for f. -2 Suppose 1 + 3 = 4*n + 3*u, 2*n - 2*u = 2. Suppose 65 = 4*t + n. Suppose 4*r = -0 + t. Solve -5*f = -r*f - 4 for f. 4 Let d = -226 - -232. Solve -8*o - 2 - d = 0 for o. -1 Let u(x) = x**3 + 7*x**2 + 87. Let m be u(-8). Solve -10*b - 3 = -m for b. 2 Suppose -3*h + r + 3 = -2*h, 5*h - 3*r - 13 = 0. Let w be -4*2/(0 - h). Let n(q) = 4*q - 13. Let u be n(w). Solve u*t = 2*t - 4 for t. -4 Let k(w) = 5*w + 60. Let a be k(-10). Solve -a = -s + 6*s for s. -2 Suppose -13*x + 3*x + 230 = 0. Solve 0 = -5*v + 18 - x for v. -1 Let t be (1 - 2/1)*-7. Suppose 2*z + 2*z - 4*q = 32, 4*z + 5*q + 13 = 0. Solve t*c = 4*c - z for c. -1 Suppose 2*x = -3*q + 19, x + 4*q = 6*x - 36. Solve -5 = -x*u + 7*u for u. 5 Let j = -367 + 378. Solve -j*u + u - 40 = 0 for u. -4 Suppose -2*m - 2*j + 39 = m, -4*j + 13 = m. Let q = 24 - m. Let y = q + -9. Solve 0 = y*z - 1 + 9 for z. -4 Let p be ((-8)/6 - -2) + 125/15. Solve 8 = -13*g + p*g for g. -2 Let s(n) = 2*n**3 - 2*n**2 - n - 1. Let w be s(2). Suppose 5*f = 5*o - w, -3*f = 4*o + 6 - 24. Solve y - f*y - 2 = 0 for y. -2 Suppose 2*y + 4*i = 16, 5 = 2*y + 3*i - 11. Let f(o) = 4*o - 24. Let l be f(y). Solve 4 = l*c - 6*c for c. 2 Let q(l) = -4*l + 72. Let j be q(6). Suppose 0 = -j*r + 43*r + 20. Solve 10 = -r*u - 10 for u. -5 Suppose 10 = 5*o - 0*o. Let n(z) = -2*z - 3. Let l be n(-2). Let f be (l/(4/8))/((-1)/(-2)). Solve -o - f = 2*i for i. -3 Let u = -31 + 34. Let t(h) = -h**3 + h**2 + 6*h + 3. Let o be t(u). Solve -2*z = -o*z - 1 for z. -1 Let s(w) = 5*w**2 - w + 3. Let k be s(3). Let t = k - 30. Suppose 4*b = -0*b. Solve -4*l - l - t = b for l.
{ "pile_set_name": "DM Mathematics" }
32. Which is bigger: r or 4? 4 Let y = -22 - -12. Let j = -30 + y. Is j smaller than -40? False Let a(m) = -m**2 + m - 2. Let x = -6 + 6. Let r be a(x). Let z = 5 + -6. Which is bigger: z or r? z Let j = 1304/78387 + -2/493. Are j and -1 equal? False Let c(f) = 4*f**2 - 93*f - 17. Let w be c(27). Is w > 388? False Let c be -1 + ((-190)/90 - 3/(-1)). Is c <= 4/63? True Let j be -1 + ((-33)/(-12) - 6/8). Let p be 20/6*(-9)/(-1). Let g be (-12)/p - 1/(-3). Is g != j? True Let w(v) = 71*v - 6378. Let l be w(90). Let k be (19/4)/((-3)/(-8)). Which is greater: l or k? k Let d = -1999 + 309846/155. Which is bigger: d or 1? 1 Let v(g) = -12*g - 86. Let h be v(-7). Let p be (-488)/644 + 4/(-14). Are p and h unequal? True Let a = -1 + -26. Let q = a + 27. Is q greater than or equal to 3/52? False Let y = 721 - 835. Which is bigger: -112 or y? -112 Let l = 535 + -516. Which is greater: 3 or l? l Suppose 3 + 1 = -o, 5*w - 3*o + 2488 = 0. Is -500 bigger than w? False Let h = -59.68 + 62. Let q = h - 2.2. Let p = q - 0.22. Which is greater: p or -0.3? p Let t = 12/35 + -178/315. Let g(n) = n**2 - 14*n - 18. Let f be g(13). Does t = f? False Suppose 9*c = 8*c + 1. Let i be (c + 3 - 3)/(-1). Which is bigger: -3/17 or i? -3/17 Let b = -24 + 1. Let y = -21 - b. Suppose m + 4 = y. Which is smaller: -3 or m? -3 Let j = -199/210 + -1/210. Is -2 > j? False Let p(t) = -t + 2. Let v be p(-1). Suppose -4 = -v*f + 2. Suppose f*a = -0*a + 8. Which is bigger: 6 or a? 6 Let n(b) be the first derivative of -3*b**2/2 + 36*b + 31. Let c be n(11). Suppose -11 - 7 = -5*z - 3*d, -5*z = -3*d - 12. Are c and z nonequal? False Let y be 6*(-4)/(-12) - 1. Let b = -61 + 35. Let d = b + 133/5. Which is smaller: d or y? d Suppose -3*o + 4*k = -50, -4*k - 70 = -2*o - 3*o. Let a(g) = -g**3 + 4*g**2 + 6*g - 1. Let y be a(5). Is y greater than o? False Let k = -1 - 2. Let m = -982 - -5891/6. Which is greater: k or m? m Suppose 0 = 5*b + 2*i - 506, -106 = -b + 3*i - 5*i. Suppose -4 = 6*f - b. Are f and 16 nonequal? False Let v be -6*(-18)/(-42) - -5. Suppose 4*d = 10 + 2. Is v bigger than d? False Let u be ((-6)/(-7184))/(58/(-232)). Which is smaller: 0.1 or u? u Let t = -301 - -3613/12. Which is bigger: 12 or t? 12 Let q(i) = -i**3 + 17*i**2 - 16*i - 7. Let o be q(16). Is o bigger than -21? True Let s = 15701/9417 - 2/3139. Which is greater: 17 or s? 17 Let r = -13.79 - -13.69. Which is greater: -5/12 or r? r Suppose -24*k - 4241 = -31313. Is 1129 > k? True Let q be (-21)/18 - -1 - 61/(-438). Are 1.3 and q unequal? True Suppose 152*h - 2750 = 163*h. Is -249 != h? True Let g be 454/(-20) - 165/550. Is g greater than or equal to -462/19? True Let s be (-5)/4 + (9 - (-455)/(-52)). Let l be (2/40)/(8/(-180)). Is l less than or equal to s? True Let d = -82.2 + 82. Let c = -0.3 - d. Is -2 at most c? True Suppose 0 = 10*c - 0*c. Suppose 4*r - 124 = -c*r. Is 31 != r? False Let r be 18/30*(-815)/495. Let u be ((-14)/198)/(1/(-3)). Let y = r - u. Which is smaller: y or 0? y Let r be 0*81/18*1/9. Suppose r = -6*h + 2 + 388. Is h != 65? False Let j = 2027 - 188513/93. Is j greater than or equal to -1? True Let q = 79 - 55. Let x = 26 - q. Is x equal to -0.2? False Let m(z) = -7*z. Let b be m(-2). Suppose -5*n - 22 = -4*u, -5*u + 3*u = -n - b. Suppose -6*a + u*a + 2 = 0. Is a not equal to -4/11? True Let m = -267 + 267.0657. Is m greater than -0.1? True Let a(w) = -17*w**3 - 4*w**2 + 3*w + 12. Let i be a(2). Which is greater: -1470/11 or i? -1470/11 Suppose -p - 9 = 7. Let x(n) = -n**3 + 14*n**2 + 6*n + 25. Let u be x(14). Suppose -78 - u = 11*m. Do m and p have the same value? False Let s = 224 - 205.3. Let d = -36 - -55. Let q = d - s. Do q and 1/3 have different values? True Let q(p) be the third derivative of 2*p**3 + 1/24*p**4 + 0*p - p**2 + 0. Let s be q(-5). Is s at most 8? True Let p = -2 - 0. Let y be (-1 + 1)*(2 - 3). Suppose 0 = 5*m - 2*j + 25, -m + j + y*j = 8. Is p >= m? True Let m = -3.2 + 3.28. Let v = -41/3 - -13. Which is smaller: v or m? v Suppose 0 = -4*c, 3*c = -147*t + 148*t + 56. Which is greater: t or -29? -29 Let v = -55969/35 + 1599. Let c(a) = 2*a - 1. Let k be c(1). Is k at most as big as v? False Suppose -32*s - 6 - 26 = 0. Is s less than -8/117? True Suppose 8*j = 78*j + 14420. Is j < 2? True Let d(o) = -o**2 + 2*o + 3. Let i be d(0). Suppose -i*s - 30 = -s. Is s greater than -16? True Let p = -40 + 12. Let i = p + 27.95. Which is smaller: 2 or i? i Let y = -219 - -221. Is -6/11 equal to y? False Suppose b = -4*c - 82, -3*b + 6*b - 6 = 0. Is -21 at least c? True Let y be (-87)/(-
{ "pile_set_name": "DM Mathematics" }
ify t*t/((t*((t*(t/(t*t/((t*t**(-14)/t*t)/t))*t)/t)/t)/t)/t)*t/(t**12*t)*(t**(-1)/t)**(-2/19) assuming t is positive. t**(118/19) Simplify (x**(-5/6)/((x/(x/(x/(((x**(1/30)/x)/x)/x))))/x))/(x*x**(-2/5)*x*x**(-1/19)) assuming x is positive. x**(-508/95) Simplify (l**(-1/22))**(2/117)*l*l**(-9/7)*l**(4/11)*l assuming l is positive. l**(9704/9009) Simplify (((h**(-1)/h)**(-2/25))**23)**(-11) assuming h is positive. h**(-1012/25) Simplify (f*f**(2/3))/f**(2/5)*(f*f**(-1))/((f/(f*f**(-8/7)*f*f))/f) assuming f is positive. f**(328/105) Simplify (((p**0)**(-11/2))**(-24))**(46/3) assuming p is positive. 1 Simplify (h*h*h**(-10/3))**(-14)*(h*h**7)/(h*h**(-36)/h) assuming h is positive. h**(188/3) Simplify ((((m*m**(1/16))/m)/m)/(m/m**(-15)))**(-18) assuming m is positive. m**(2439/8) Simplify ((l*l/(l*l**(-1)*l)*l**(-1/5)/l)/(l**(-6)/(l*l/(l/(l**(-2/23)/l)))))**(-11) assuming l is positive. l**(-7227/115) Simplify (g**(-4/5)/g**(-2/35))/(g**(-1/3))**26 assuming g is positive. g**(832/105) Simplify ((q**(2/13)*q)/((q**(-1/2)*q)/q))/(q**(1/4))**(-1/4) assuming q is positive. q**(357/208) Simplify (x**(-4)*x**(-12/11)/x)/(x**(-7)*x)**(29/2) assuming x is positive. x**(890/11) Simplify (t/(t*((t*(t**37*t)/t)/t)/t*t))/(t*t/(t*t/(t*t*(t/(t*t/(t/((t/t**13)/t))))/t))*t)*t**24*t**(2/19) assuming t is positive. t**(-530/19) Simplify ((h**(-5/3)*h)/h*h**(1/4)/h)/(h**9/h*(h**(-2/3)/h)/h) assuming h is positive. h**(-31/4) Simplify ((((q*q/(q/(q*q/(q/(q*q/(q*(q**(2/7)*q)/q)))*q)))/q)/q**(1/7))/(q**(-4)*q**(1/3)))**(-2/45) assuming q is positive. q**(-262/945) Simplify (r**(-1/35)/(r*r*(r**(1/23)/r)/r))/(r**(12/7)/r**(2/49)) assuming r is positive. r**(-9836/5635) Simplify (a**(3/5))**33/(a**(7/2)*a/(a*a**(-1/5))) assuming a is positive. a**(161/10) Simplify (u**(-2/15)/(u*u**(-24)))/(u*u*u**(2/11)*u*u**8/u) assuming u is positive. u**(2093/165) Simplify (j*j**(-1/3))**44*j**(-5)*j*j**(-1/12) assuming j is positive. j**(101/4) Simplify (h**(-7))**(-28)/((h/(h**(-13)*h))/h**5) assuming h is positive. h**188 Simplify ((t*t**23)/t**(-10))/(t**(14/3)/t)**42 assuming t is positive. t**(-120) Simplify (v*v*v**(-5))**(-26/9)*v**16/v**(-3/5) assuming v is positive. v**(379/15) Simplify w**7*w*w**(2/3)*(w*w**(-1/2)*w)**(-6) assuming w is positive. w**(-1/3) Simplify ((((d/d**(-3/23))/d*d)/d)/d**29)/(d**(2/41))**8 assuming d is positive. d**(-27592/943) Simplify ((g/((g*g*(g/g**13)/g*g)/g))/g*g/g**(-3/10))/(g**6/(g*g**16*g*g)) assuming g is positive. g**(253/10) Simplify ((s*s**(3/17)/s)/s*s)**(2/117)/(s**(17/2)/s**31) assuming s is positive. s**(29839/1326) Simplify (z**(-2/5)*z**(-2/79)/z)**(2/65) assuming z is positive. z**(-1126/25675) Simplify (q/q**(4/11))**32*(q*q**(2/3)*q)**(8/3) assuming q is positive. q**(2720/99) Simplify ((q**(1/4))**31/(q**(2/5))**(-4))**38 assuming q is positive. q**(3553/10) Simplify (j**(1/3)*j*j)**27*j**(-12)*j/(j**(-6)*j)*j assuming j is positive. j**58 Simplify ((t**(-5)/t)/t*t**(-25))**(-23) assuming t is positive. t**736 Simplify ((t**(-2/3)*t/(t/(t/((t*t*t/t**(2/7))/t)*t)))/(t**(1/10)*t**(-1)))**36 assuming t is positive. t**(654/35) Simplify ((c/(c*c*c**(2/65)*c))**(-1/4))**(-21) assuming c is positive. c**(-693/65) Simplify (m**(-10))**(-2/15)*m**(-1/12)*m*m**(-3)/m assuming m is positive. m**(-7/4) Simplify ((r*r**11)/r**(2/35))/(r**(-2/49)*r**9) assuming r is positive. r**(731/245) Simplify g/(g*g/(g**9*g))*g**(-2/33)*(g**(4/7))**26 assuming g is positive. g**(5497/231) Simplify ((l**(-18/5)/l)/l**(1/15))/(l*l**(2/7)*l)**(-20/9) assuming l is positive. l**(26/63) Simplify (y/(((y/(y*y**14/y*y*y*y)*y)/y)/y)*y**(-5/6))**(34/7) assuming y is positive. y**(1751/21) Simplify ((a*a*(a*(a*((a*a**1/a)/a)/a)/a)/a)/(a/(a*a/((a*a*a/(a/a**(-4))*a)/a)))*(a**(6/5)/a)/a**(-1/4))**(-2/7) assuming a is positive. a**(-89/70) Simplify (t**(-14)/(t**(-8)*t))/(t*(t*t**3/t*t)/t)**35 assuming t is positive. t**(-147) Simplify (b**(-40)/(b**(-2/5)*b*b))/((b/b**(-13)*b*b*b)/b)**18 assuming b is positive. b**(-1648/5) Simplify (u**18*u*u*u/u**(-4))/(u/((u**(-2/3)/u)/u))**(7/3) assuming u is positive. u**(148/9) Simplify ((w/(w**7/w)*w*w)/(w/(w*(w/(w/(w**10*w))*w)/w*w*w*w)))/(w**(-2)/(w**5*w)) assuming w is positive. w**19 Simplify (w**(-4)/(w/w**13))/(w/(w**(-2/7)*w*w))**(-13) assuming w is positive. w**(-9/7) Simplify m*m*m**(-1)*m*m**(-2/13)*(m**(2/13))**(-4) assuming m is positive. m**(16/13) Simplify (r**(2/5)/(r*r**(-1/9)))/(r/(r/(r**(2/9)/r))*r*((r**(-9)*r)/r)/r) assuming r is positive. r**(418/45) Simplify (
{ "pile_set_name": "DM Mathematics" }
(f) + 2*x(f). What is m(l(z))? -8630*z + 2 Let p(r) = -4*r**2 - 126. Let b(u) = 25*u**2 + 643*u. What is b(p(s))? 400*s**4 + 22628*s**2 + 315882 Let s(a) be the first derivative of -a**3/3 - 592. Let l(g) = -280*g**2 - 2. What is s(l(w))? -78400*w**4 - 1120*w**2 - 4 Let b(z) = -5*z**2. Let m(p) = -2800532*p**2. What is b(m(c))? -39214897415120*c**4 Let s(d) be the third derivative of -d**4/6 - d**3/3 + 2*d**2 + 317. Let h(a) = -4*a**2 + 2. Determine h(s(w)). -64*w**2 - 64*w - 14 Let z(a) = -2*a + 11306. Let n(i) = 28792*i**2 - 57581*i**2 + 28788*i**2. What is z(n(h))? 2*h**2 + 11306 Let k(j) be the second derivative of j**6/360 + 5*j**4/2 + 33*j. Let o(b) be the third derivative of k(b). Let z(y) = 171*y. Determine z(o(p)). 342*p Let t(g) = -g**2 + 136*g + 699. Let x(d) = -3*d. Give t(x(c)). -9*c**2 - 408*c + 699 Let y(l) = -l**3 - 8*l**2 + 6. Let f be y(-8). Let x(k) = -f + 2*k + 6. Let b(g) = -7*g + 4. Let d(c) = -6*c + 3. Let p(r) = 3*b(r) - 4*d(r). What is x(p(w))? 6*w Suppose 0*u - 5*u - d = -20, -15 = 3*d. Let a(b) = -u*b - 12*b - 10*b + 26*b. Let l(p) be the third derivative of 7*p**4/12 + 3*p**2. Calculate a(l(c)). -14*c Let g(p) = 106*p + 60. Let u(i) = 56209*i. Give u(g(m)). 5958154*m + 3372540 Let f(n) = -n**2 - 2*n + 36187. Let r(u) = 118*u + 9. Give f(r(d)). -13924*d**2 - 2360*d + 36088 Let y(x) = 11*x. Let q(w) be the first derivative of 2*w**5/15 - 19*w**2/2 - 63. Let l(k) be the second derivative of q(k). Determine l(y(t)). 968*t**2 Let m(o) = -11*o - 2. Let i(a) = -3 + 1 - 1 + 4. Let k(x) = 6*i(x) + 3*m(x). Let b(h) = -3223*h**2 + 1074*h**2 + 1068*h**2 + 1079*h**2. Calculate b(k(q)). -2178*q**2 Let w(g) be the third derivative of 0 + 8*g**2 + 0*g**4 + 0*g**3 + g + 1/30*g**5. Let h(t) = 21*t**2. What is w(h(b))? 882*b**4 Let x be (((-20)/6)/1)/(3/(-900)). Suppose -k - 5*g + 336 = 0, 4*g + x + 272 = 4*k. Let p(n) = -k - 13*n + 321. Let c(l) = 2*l. Give c(p(o)). -26*o Suppose 3*d + 5*h - 122 = 0, -33 = -d - 4*h - 4. Let a(s) = -59*s - 55*s + 158*s - d*s. Let t(o) = 5*o. What is t(a(g))? -25*g Let g(x) = 26599*x. Let c(k) = -11*k**2 - 249*k. Calculate c(g(i)). -7782574811*i**2 - 6623151*i Let s(y) = 25*y - 1. Let b(l) = -3*l - 8. Let t(p) be the first derivative of -p**2 - 5*p - 67. Let i(w) = 5*b(w) - 8*t(w). Give i(s(n)). 25*n - 1 Let p(u) = 8 + 4 - 27 - 10*u + 12*u**2 + 4*u - 24*u. Let f(o) = -3*o**2 + 8*o + 4. Let j(l) = 15*f(l) + 4*p(l). Let r(m) = -41*m**2 - m. What is j(r(y))? 5043*y**4 + 246*y**3 + 3*y**2 Let d be 3 - (-5)/5*1. Let a(f) = f**3 - 4*f**2 + 2*f - 6. Let p be a(d). Let b(m) = -2*m**2 - m + m + 12*m**p. Let g(l) = -2*l**2. Give b(g(s)). 40*s**4 Let p(q) = 81*q. Let b(y) = -126640*y. Determine p(b(k)). -10257840*k Let j(s) be the second derivative of 13*s**3 - 3417*s. Let m(d) = 67*d**2. Give j(m(q)). 5226*q**2 Let c = 75 + -84. Let v(x) = -5*x + 27. Let m(i) = 2*i - 12. Let z(u) = c*m(u) - 4*v(u). Let g(t) = -t - 11. Calculate z(g(b)). -2*b - 22 Let m(p) = -p. Suppose -2*f - 10480 = -7*f. Let x(r) = 2093*r**2 + 1 - f*r**2 - 1. Give m(x(o)). 3*o**2 Let j(f) = -2*f - 41. Let d(c) = c**2 - 2*c + 1. Let l(g) = -80*g**2 + 128*g - 64. Let u(m) = -192*d(m) - 3*l(m). Calculate u(j(h)). 192*h**2 + 7872*h + 80688 Let m(l) = 83*l. Let s(a) = -479*a - 121. Calculate m(s(o)). -39757*o - 10043 Let y = -343 - -347. Let g(s) = 9*s + 2. Let b(o) = -65*o - 15. Let p(h) = y*b(h) + 30*g(h). Let f(i) = -10*i**2. Give p(f(t)). -100*t**2 Let v(a) be the second derivative of -a**3/6 - 84*a - 55. Let g(z) = 7 - 7 - 9*z**2. Give g(v(m)). -9*m**2 Let s(c) = -2174*c + 2. Let n(y) = 1415*y. Calculate n(s(p)). -3076210*p + 2830 Let m(w) = -2*w. Let h(o) be the third derivative of -221*o**6/360 - 70*o**3/3 + 24*o**2. Let f(q) be the first derivative of h(q). Calculate m(f(x)). 442*x**2 Let y(n) = 2*n. Let u(o) = 5
{ "pile_set_name": "DM Mathematics" }
s digit of 19117944? 9 What is the hundred thousands digit of 48015660? 0 What is the ten thousands digit of 126225685? 2 What is the thousands digit of 213116736? 6 What is the ten millions digit of 694507616? 9 What is the hundreds digit of 241936893? 8 What is the ten thousands digit of 121909589? 0 What is the ten millions digit of 167126546? 6 What is the hundreds digit of 162443300? 3 What is the thousands digit of 208698401? 8 What is the tens digit of 225059111? 1 What is the ten millions digit of 137836775? 3 What is the ten thousands digit of 1475512799? 1 What is the hundred thousands digit of 32389653? 3 What is the ten thousands digit of 112356362? 5 What is the tens digit of 568185323? 2 What is the millions digit of 5688474079? 8 What is the ten thousands digit of 105974226? 7 What is the hundreds digit of 100737433? 4 What is the thousands digit of 729946461? 6 What is the thousands digit of 310151879? 1 What is the hundred millions digit of 347884219? 3 What is the billions digit of 3702367426? 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{ "pile_set_name": "DM Mathematics" }
*u - 5. Give q(a(g)). 335*g**2 - 5 Let r(u) be the third derivative of 844*u**4/3 + 2*u**2 + 290*u. Let y(f) = 2*f**2. Determine r(y(m)). 13504*m**2 Let z(k) = -5994*k - 2. Let a(j) = j**2 + 16*j. What is z(a(h))? -5994*h**2 - 95904*h - 2 Let g(s) = 19*s - 1. Let m(k) = 2363*k**2 - 112*k. What is g(m(b))? 44897*b**2 - 2128*b - 1 Let r(i) = -2*i. Let d(m) = 51316256*m. Determine d(r(c)). -102632512*c Let n(b) = 312698*b. Let t(x) = 5*x - 7. Determine t(n(v)). 1563490*v - 7 Let i(r) = -8*r**2 + 6*r - 6. Let w(t) = -17*t**2 + 13*t - 13. Let f(p) = -13*i(p) + 6*w(p). Let o(k) = 0 - 484*k + 481*k - 25 - 14. Give f(o(c)). 18*c**2 + 468*c + 3042 Let b(v) = 168199911*v**2. Let o(p) = 2*p**2. Calculate o(b(s)). 56582420120815842*s**4 Let s(p) = -2*p**2. Suppose -463 + 1783 = 11*k. Let x(l) = 118*l - 7 - 246*l + k*l. Calculate s(x(c)). -128*c**2 - 224*c - 98 Let q(l) = 1. Let g(k) = -2*k + 20. Let d(n) = g(n) + 5*q(n). Suppose 4*f - z - 3*z = 36, -3*f + 17 = 2*z. Let w(s) = -6*s + f*s - 2 + 2 + s. Determine w(d(u)). -4*u + 50 Let u(n) = -8*n. Let q(p) be the third derivative of -3/8*p**4 + 38*p**2 + 0*p + 0*p**3 + 0. Give u(q(b)). 72*b Let p(u) = 1356051*u - 7*u**2 - 1356051*u + 25*u**2. Let s = 2 + 0. Let g(d) = s*d**2 + 2*d**2 + 0*d**2. Give g(p(k)). 1296*k**4 Let o(m) = -8. Suppose -5*n + 10 = 2*v, 31 = 3*n + n - 3*v. Let i(t) = -t + 2. Let r(j) = n*i(j) + o(j). Let f(h) = -8*h**2. Determine r(f(q)). 32*q**2 Let h(m) = m**2. Let j(u) = u**3 - 6*u**2 - 2. Let l be j(6). Let v be 0 + 1 - (l - -1 - 0). Let o(y) = v*y + 3*y - y - 3*y. Give h(o(r)). r**2 Let c(g) = -27*g**2. Let j(v) = -5*v - 30. Let u be j(-7). Let q(w) = 11*w - u*w - 5*w - 5*w. Determine q(c(f)). 108*f**2 Let b(p) = 2*p**2. Let k(j) = j**3 - 7*j**2 + 8*j - 8. Let q be k(6). Suppose 5607 = 3*h + q*h. Let v(u) = h - 801 - 57*u**2. Give b(v(t)). 6498*t**4 Let h(y) = 2*y**2 - 112*y. Let w(u) = -2*u + 240063. Calculate w(h(o)). -4*o**2 + 224*o + 240063 Let l(o) = 31*o**2 + 138*o + 5. Let t(h) = 5*h**2. Calculate l(t(j)). 775*j**4 + 690*j**2 + 5 Let l(u) = -461*u**2. Let c(m) = 7*m**2 + 6*m - 12. Let b(f) = 42*f**2 + 35*f - 70. Let z(t) = 6*b(t) - 35*c(t). Calculate z(l(n)). 1487647*n**4 Let t(x) be the third derivative of 0*x - x**2 + 48 + 0*x**4 + 0*x**3 - 2/15*x**5. Let w(k) = 11*k**2. Calculate w(t(r)). 704*r**4 Let t(c) = 9*c - 247. Let r(m) = 2*m - 57. Let s(w) = -26*r(w) + 6*t(w). Let q(p) = -145*p**2. Calculate s(q(k)). -290*k**2 Let a(b) = 7*b. Suppose 6999 = 9*s - 6501. Let o(k) = 745*k + 744*k - s*k. Calculate a(o(l)). -77*l Let z(n) = 26*n. Let g(a) = -32*a + 33. Let d(q) = 158*q - 176. Let o(y) = 3*d(y) + 16*g(y). Determine z(o(j)). -988*j Let z(b) = 489*b - 1 - 964*b + 479*b + 3. Let j(v) = -83*v. Give j(z(q)). -332*q - 166 Let r(l) = -481053164 + 481053164 + l**2. Let w(o) = 3745*o**2 + 385*o - 385. Let t(n) = -39*n**2 - 4*n + 4. Let y(f) = -385*t(f) - 4*w(f). Calculate r(y(s)). 1225*s**4 Let o(k) = -8796958*k. Let c(j) = 4*j**2. Give o(c(p)). -35187832*p**2 Let s(y) = -7*y - 3. Suppose -49 - 6 = -5*m. Let q be 0/(2 - (-3 + m + -4)). Let n(c) = q*c + 0*c + 393*c**2 - 395*c**2. Give s(n(w)). 14*w**2 - 3 Let o(v) = -9*v**2 + 2. Let h(p) be the second derivative of -7*p**4/12 - 801*p. What is h(o(d))? -567*d**4 + 252*d**2 - 28 Let x(i) = i**2. Let o(k) = -5*k**2 - 35*k - 84. Let f(j) = -37*j**2 - 246*j - 630. Let h(w) = 2*f(w) - 15*o(w). Give x(h(g)). g**4 + 66*g**3 + 1089*g**2 Let z = -161 + 172. Let q(x) = 11*x + 13*x - 36*x + z*x. Let t(w) = 62*w**2. Determine t(q(k)). 62*k**2 Let c(k) = 3*k - 1. Let a(l) = 16*l - 5. Let z(s) = 4*a(s) - 20*c(s). Let n be (6 - 7) + 1 + 2. Let w(p) = 7*p - 8 + 8 + n*p. Give z(w(b)). 36*b Let t(y) = 12*
{ "pile_set_name": "DM Mathematics" }
14)/(-2 + x/7). Find the second derivative of -n*l - l - 2*l**5 + 4*l wrt l. -40*l**3 Let h(r) = 5511*r**2 - 14*r + 9718. Let p(b) = 2753*b**2 - 8*b + 4861. Let y(q) = 4*h(q) - 7*p(q). What is the first derivative of y(d) wrt d? 5546*d Let p(n) be the first derivative of 456*n**7/7 - 849*n**3 + 63. Find the third derivative of p(d) wrt d. 54720*d**3 Let n = 16625 + -16599. Let a(i) be the first derivative of 0*i**3 - 14*i**2 - 1/6*i**6 + 0*i**5 + 0*i**4 + 0*i - n. Find the second derivative of a(r) wrt r. -20*r**3 Suppose 3*j = -2*v + 4, 0*v = -4*v + 4*j + 8. Find the first derivative of -153*h**2 - h**3 + 302*h**2 - 140*h**v - 65 wrt h. -3*h**2 + 18*h What is the third derivative of 977*y**2 + 1780*y**5 + 4 + 1021*y**2 - 1837*y**2 - 42*y**5 wrt y? 104280*y**2 Let g(s) = s - 2. Let r(v) = 23*v + 11. Let a(u) = g(u) - r(u). Find the first derivative of a(j) wrt j. -22 What is the derivative of 884*o**3 - 311 - 180*o + 3104*o**3 + 180*o wrt o? 11964*o**2 Let s = 6 + -3. Suppose 4*u - 26 = -5*o, -3*o - 24 = -7*o - 4*u. Differentiate 20 + 11*g**o - s + 4*g**2 with respect to g. 30*g Let n(p) be the first derivative of -p**4/4 - 300*p**3 + 995*p - 7810. What is the first derivative of n(q) wrt q? -3*q**2 - 1800*q Suppose 0 = -1115*y + 1129*y. Let u(g) be the first derivative of 33 + y*g**3 + 6/5*g**5 + 0*g - 7*g**2 + 0*g**4. Find the second derivative of u(t) wrt t. 72*t**2 Let c(g) be the third derivative of 4651*g**4/24 + 5309*g**3/6 - g**2 + 44*g. Find the first derivative of c(y) wrt y. 4651 Suppose -3170 = 46*q - 56*q. Find the second derivative of 298*c - 375 + 375 - q*c**2 wrt c. -634 Let x(a) = 23*a**2 - 20*a**2 + 0*a**3 + 1 - a**3 + 3*a. Let t be x(-1). Find the second derivative of 23*y**2 - 39*y**2 + 23*y**t - 31*y wrt y. 14 What is the second derivative of 0*i**2 - i**2 - 74*i + i + 2*i**4 - 3*i**3 + 1697 - 4*i**2 - 1645 wrt i? 24*i**2 - 18*i - 10 Suppose -132 = -4*n - 3*m + 280, -4*n - m = -412. Find the second derivative of -14*f**2 + 7*f + 53*f + 6*f**3 - n*f wrt f. 36*f - 28 Suppose 0 = -5*y + 5*n + 5, 3*n - 8 = -23. Let c(w) = 174*w + 71. Let j(p) = -175*p - 72. Let k(z) = y*j(z) - 5*c(z). What is the derivative of k(m) wrt m? -170 Suppose -7*t + 11 = 4. Suppose -3*m - 3*z + 252 = 0, -3*m + 3*z - 142 = -364. Differentiate t + 48*r**3 - m*r**3 + 1 with respect to r. -93*r**2 Let n(k) = 1. Let v = 30 + -29. Let i(b) = 31*b + 60. Let z(d) = v*i(d) + 3*n(d). What is the derivative of z(l) wrt l? 31 Let y(l) be the third derivative of -l**6/6 + 29*l**5/15 - 1865*l**3/6 + 76*l**2 + 9*l - 1. Differentiate y(c) with respect to c. -60*c**2 + 232*c Find the second derivative of -11*x**2 - 37 - 22*x + 34*x - 1509*x**2 - 24*x**2 - 11*x wrt x. -3088 What is the third derivative of 52641*z**2 + 68*z**3 + 4*z - 43906*z**2 - 1350*z**3 - 4*z wrt z? -7692 Find the third derivative of -280684*h + 174*h**2 + 10*h**3 - 2*h**4 - 16*h**5 + 2*h**4 + 280687*h wrt h. -960*h**2 + 60 Find the first derivative of -65*m - 1509 - 74*m - 177*m - 238*m - m**2 - 99*m wrt m. -2*m - 653 What is the second derivative of -5*s**2 - 2953*s + 0*s**2 - 14*s**3 + 3759*s wrt s? -84*s - 10 Let h be 2*((-6)/(-10) + 2/5). Suppose 4*i + h = d - 3, -2*i - 7 = -d. Find the third derivative of d*c**5 - 5*c**2 - 16*c**2 + 9*c**2 wrt c. 540*c**2 Let x(d) be the second derivative of 2158*d**7/21 + 3*d**4/4 + 265*d**3/6 + d**2 - 1603*d + 4. What is the third derivative of x(i) wrt i? 258960*i**2 Let r(k) be the third derivative of -55*k**7/21 - 24*k**5/5 - 1019*k**2. Find the third derivative of r(p) wrt p. -13200*p Let z(o) = -2*o - 19. Let h be z(-12). Let x be 9 + 3 - (0 - 0). What is the second derivative of -h*k + 5*k - x*k**3 + 6*k wrt k? -72*k Let s(z) = z + 4. Let n be s(3). Let y be 26/6 - (n/3 + -2). Find the third derivative of 0*r**2 - 2*r**3 - 12*r**3 - 7*r**2 - y*r**2 wrt r. -84 Suppose 3*t = -4*a + 242, -5*t + 2*a = -8*t + 238. What is the derivative of -54*h - t + 25*h - 48*h wrt h? -77 Let q = -363 + 676. What is the first derivative of -320 - 4*y**3 - 21*y**3 + q wrt y? -75*y**2 Let t(c) be the second derivative of -287*c**4/2 - 709*c**3/6 - 23*c - 25. Find the second derivative of t(x) wrt x. -3444 Suppose 5*h + 872 = 1027. Find the second derivative of s**5 + h - 4*s + 56*s**4 - 11 + 21 wrt s. 20*s**3 + 672*s**2 Find the second derivative of -1714*m**4 + 3038*m + 63*m**4 - 3 - 41*m**4 + 3 wrt m. -20304*m**2 Let r(y) be the second derivative of -
{ "pile_set_name": "DM Mathematics" }
replacement from {m: 4, j: 3}. 18/35 Two letters picked without replacement from {o: 2, p: 2, x: 1, q: 1, v: 1}. Give prob of picking 1 x and 1 q. 1/21 Three letters picked without replacement from ffcyfet. What is prob of picking 2 f and 1 e? 3/35 What is prob of picking 3 w when three letters picked without replacement from wkikikikiwiiwxkxkik? 1/969 Four letters picked without replacement from qqsqoopxlxppxsox. What is prob of picking 1 q, 1 s, and 2 p? 9/910 Two letters picked without replacement from {m: 3, e: 2, r: 9, o: 5}. Give prob of picking 1 e and 1 o. 10/171 Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {p: 2, j: 1, q: 1, w: 3, k: 6}. 2/13 Two letters picked without replacement from ppxlppxpl. What is prob of picking 2 l? 1/36 Four letters picked without replacement from xjxrrrjrxxxxjjxj. What is prob of picking 3 x and 1 r? 1/13 Calculate prob of picking 1 v and 1 l when two letters picked without replacement from {v: 1, k: 7, l: 6}. 6/91 Three letters picked without replacement from {b: 1, q: 1, n: 2, x: 1, f: 1, g: 2}. What is prob of picking 2 g and 1 f? 1/56 Two letters picked without replacement from {o: 4, k: 7}. Give prob of picking 1 k and 1 o. 28/55 What is prob of picking 1 z, 1 g, and 1 r when three letters picked without replacement from {x: 2, g: 5, z: 2, r: 3}? 3/22 Two letters picked without replacement from {h: 1, t: 2, y: 4, s: 4}. Give prob of picking 1 s and 1 y. 16/55 What is prob of picking 2 i when two letters picked without replacement from {i: 2, a: 2}? 1/6 What is prob of picking 1 s and 1 k when two letters picked without replacement from fnfks? 1/10 Calculate prob of picking 1 x and 1 l when two letters picked without replacement from {x: 2, e: 2, l: 3, p: 1, q: 2, z: 10}. 3/95 What is prob of picking 1 y, 1 d, and 1 f when three letters picked without replacement from {y: 1, f: 1, l: 2, d: 1}? 1/10 What is prob of picking 2 o, 1 m, and 1 l when four letters picked without replacement from {z: 4, m: 6, o: 5, l: 1, v: 4}? 4/323 Two letters picked without replacement from {t: 2, o: 8, g: 9}. Give prob of picking 2 g. 4/19 Calculate prob of picking 1 n and 1 l when two letters picked without replacement from {t: 1, n: 1, g: 1, l: 8, c: 1}. 4/33 Two letters picked without replacement from {b: 4, r: 3, f: 3, d: 1, e: 2, x: 2}. Give prob of picking 1 d and 1 r. 1/35 What is prob of picking 2 s when two letters picked without replacement from {s: 9, o: 2}? 36/55 Three letters picked without replacement from {b: 1, c: 4, w: 5, a: 8}. What is prob of picking 1 a and 2 w? 5/51 Three letters picked without replacement from jjjwjyjeywjjyjjjy. What is prob of picking 1 j, 1 e, and 1 y? 1/17 Calculate prob of picking 1 x and 1 i when two letters picked without replacement from qixqqxqqixqxq. 4/39 Calculate prob of picking 1 h, 1 p, and 2 n when four letters picked without replacement from {h: 1, p: 10, r: 1, n: 5}. 5/119 Two letters picked without replacement from qssssssssqsssqqsssq. Give prob of picking 2 s. 91/171 Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {x: 5, d: 15}. 15/38 Calculate prob of picking 1 o, 1 e, and 1 v when three letters picked without replacement from {e: 5, o: 4, v: 1}. 1/6 Three letters picked without replacement from {a: 9, p: 7}. Give prob of picking 1 p and 2 a. 9/20 Four letters picked without replacement from {z: 2, p: 9}. What is prob of picking 3 p and 1 z? 28/55 Calculate prob of picking 1 u and 2 d when three letters picked without replacement from {u: 3, o: 2, d: 3, v: 9}. 9/680 Calculate prob of picking 1 e and 1 y when two letters picked without replacement from eyyeycyycccyc. 2/13 Calculate prob of picking 3 d when three letters picked without replacement from dcdcccddccccd. 5/143 Three letters picked without replacement from {t: 2, x: 3, i: 2, s: 3, z: 9}. Give prob of picking 1 z and 2 x. 9/323 What is prob of picking 3 l when three letters picked without replacement from llluul? 1/5 Calculate prob of picking 3 j and 1 q when four letters picked without replacement from qqqqqqqqjqjqqjqq. 1/140 Four letters picked without replacement from {y: 11, m: 6, s: 2}. Give prob of picking 4 m. 5/1292 Four letters picked without replacement from nnccnnnccnnnnccnnn. What is prob of picking 2 n and 2 c? 11/34 Four letters picked without replacement from {z: 7, p: 3, f: 3}. Give prob of picking 1 f and 3 z. 21/143 Calculate prob of picking 1 l, 1 k, and 2 n when four letters picked without replacement from {l: 4, z: 2, n: 2, w: 5, k: 1, v: 1}. 4/1365 What is prob of picking 2 w when two letters picked without replacement from wwwnwwww? 3/4 Calculate prob of picking 1 h and 3 m when four letters picked without replacement from mhzmhmhz. 3/70 What is prob of picking 2 n and 1 q when three letters picked without replacement from {g: 7, n: 5, q: 4}? 1/14 Two letters picked without replacement from {r: 3, e: 3, m: 5, y: 2, d: 2}. Give prob of picking 1 y and 1 d. 4/105 Four letters picked without replacement from {g: 2, v: 2, x: 4, q: 2}. What is prob of picking 1 x, 2 g, and 1 q? 4/105 Two letters picked without replacement from {i: 1, j: 4, d: 1, e: 1, w: 2}. Give prob of picking 1 i and 1 e. 1/36 Calculate prob of picking 1 s and 3 l when four letters picked without replacement from {y: 1, s: 2, l: 2, i: 1}. 0 What is prob of picking 2 p when two letters picked without replacement from {p: 6, i: 1, n: 1, q: 1}? 5/12 What is prob of picking 1 v and 1 x when two letters picked without replacement from mxqnvmn? 1/21 Calculate prob of picking 1 n and 1 x when two letters picked without replacement from kxjxxnnnnknnxkkk. 1/5 Calculate prob of picking 1 f, 1 j, 1 o, and 1 w when four letters picked without replacement from vjjvvooffjfolwvovfvv. 16/1615 Three letters picked without replacement from aodsaossvsdbdds. What is prob of picking 2 o and 1 v? 1/455 Three letters picked without replacement from ivbvbbbjvvbbvivvvqbb. What is prob of picking 1 j and 2 i? 1/1140 Calculate prob of picking 3 v and 1 e when four letters picked without replacement from vvvvevvvvvvvvvvevv. 56/153 Three letters picked without replacement from {x: 3, y: 2, g: 10}. Give prob of picking 2 g and 1 y. 18/91 Four letters picked without replacement from {g: 3, d: 5, z: 1, e: 6}. What is prob of picking 2 e, 1 d, and 1 g? 15/91 Two letters picked without replacement from eeoeee
{ "pile_set_name": "DM Mathematics" }
True Suppose -w + 0*w = 3*j + 17, -4*j = -5*w - 9. Let n be ((-2)/j)/((-4)/(-13664)). Suppose -g + n = 6*d - d, 2*g - 347 = -d. Is d composite? True Let g = -24 + 42. Suppose -g*t + 15*t + 3 = 0. Is (22 - 23)/(t/(-123)) a prime number? False Suppose -913*g = -909*g + 36. Let l(d) = -314*d + 61. Is l(g) a prime number? True Let l(w) = -7428*w - 26. Let r be l(-6). Suppose -3267 = 5*h - r. Suppose -12*v = v - h. Is v a prime number? False Let j = -98 - -98. Suppose j = 7*p - 60 - 10. Is (-1245)/p*2/(-3) a composite number? False Suppose -11*i + 34*i - 15582582 = 5*i. Is i composite? True Let k(f) = 1164*f - 206. Suppose l + 3*a = 20, -15*a + 3 = -14*a. Is k(l) prime? False Let r = 1058591 - 644053. Is r a composite number? True Is 4/10 + (-434)/(-35)*12378/12 a prime number? True Suppose -6*k + k - 45 = 0. Let c be k/(-1 + -2) - 0. Suppose -3*h - 2*h = c*b - 5830, -5 = 5*h. Is b prime? False Let s(w) = w**2 + 11*w - 16. Let u be s(-8). Let g = u + 45. Suppose -633 = 2*c - g*c. Is c prime? True Let p(t) = -5*t**2 - 7*t - 3. Let z be p(-5). Let h = -103 - z. Let a = 43 - h. Is a composite? False Let l be (-18)/12*-1 - 2/4. Is (4388/16*4)/l a composite number? False Let k be (-3)/5 + (-288)/(-80). Is (-157350)/(-105) - k/(-7) a composite number? False Is (1*-1 - -334601) + 30 + (-4 - 23) composite? False Suppose 2*m + 5*g - 36255 = 0, 2*m + 840*g - 36273 = 841*g. Let j(o) = o**3 + o**2 + 16. Let k be j(0). Is m/20 - (-4)/k prime? True Let c(f) = -8*f + 14. Let d be c(3). Let a be ((-24)/d)/(-4 - (-248)/60). Is a/(-90) - (-4506)/5 a composite number? True Suppose -17*m + 1 = -18*m. Let c be 10 - (m - (-5 + -1)). Suppose r - 5*q - 203 = 0, -2*q + 0*q = c*r - 1069. Is r a prime number? False Suppose 5*r = 3*r + 2, 389 = 2*g + 5*r. Let v = 5543 - g. Is v composite? False Let h(x) = x**3 + 116*x**2 + 101*x - 187. Is h(-115) a prime number? True Is ((-55493185)/561)/(4/(-3) - -1) a prime number? False Suppose -1921561 - 22860944 - 1977480 = -105*q. Is q a composite number? False Let f be (41890 + 2)*1/2. Suppose 0 = -26*z + 56 + 282. Suppose 0 = -z*u + 7*u + f. Is u prime? True Let y be (100/8)/5 - 1/(-2). Suppose -2*x - y*w = -14827, 3684 = x - 3*w - 3752. Is x a composite number? True Let s(k) = -11 - 11 - 2*k - 2. Let l be s(-15). Suppose -5300 = -l*c + 2146. Is c a composite number? True Let q(u) = 172*u**2 - 2*u - 25. Let i be q(16). Suppose i = 24*a + a. Is a prime? True Let y be 3 + (3/12 - (-6)/8). Let h = 3155 - 1494. Suppose i = 3*j - 4967, 0 = -j + 3*i - y*i + h. Is j a prime number? True Let y = 26936 - 14421. Is y prime? False Let j = -1859 + 8392. Suppose m = -5*z + 1966, -j + 550 = -3*m + 2*z. Is m a composite number? True Let g(k) = -2635*k**3 - 3*k**2 + 6*k + 6. Let y be g(-3). Suppose 0 = 1126*u - 1120*u - y. Is u a composite number? True Suppose 37*n + 33*n - 9399803 = -2649633. Is n composite? False Let u(m) = m**3 + 5*m**2 - 10*m - 12. Let v be u(-7). Let o = v - -42. Suppose j + 228 = 3*y - 2*j, -4*y + o*j + 306 = 0. Is y a composite number? True Suppose -19*t + 238 = -36*t. Is t/(-35) + (-28786)/(-10) a prime number? True Suppose 0*v = -v - 5*z + 38579, 4*v - 3*z - 154362 = 0. Suppose -2*c + v = 3*c + s, 2*s + 23143 = 3*c. Is c a prime number? True Let a(q) = 6*q**2 + 112*q + 6884. Is a(105) prime? False Let g(t) = 748*t**2 - 4*t - 7. Let x be ((-165)/99)/(5/6). Is g(x) composite? True Suppose 17 = o - 5*s, 3*o - 17 = -4*s + 53. Is (24/(-14))/(o/77) - -3187 composite? False Suppose -150*w + 154*w - 2*b - 9065340 = 0, 3*w - 4*b = 6799025. Is w a prime number? True Let y = -127356 + 274723. Is y prime? False Let h = 310985 - 98529. Suppose 8*l - h = -0*l. Is l composite? False Suppose 0 = -3*y - 11 - 1. Let c(a) = -5*a**3 - 38*a**2 - 27*a - 37. Let i be c(-7). Is (5498/y)/(i/(-10)) composite? False Is 472723 + (85/(-68))/(5/(-24)) a prime number? False Suppose 0*b + 3992 = -4*j + 3*b, -b + 4979 = -5*j. Let k = j + 1582. Is k a prime number? True Suppose -6*k = -12*k + 60. Let i(s) = 4*s**3 + 10*s**2 + 16*s + 13. Is i(k) a composite number? True Suppose 5*h - 3*q = 2*q - 440, -3*q = -2*h - 177. Let c = h - -84. Is -1 + (-1)/c + (-1572)/(-36) prime? True Let d(n) = -1591*n**3 + 3*n**2 - n - 1. Let x be d(-1). Let w = 5205 - x. Is w a prime number? False Suppose 15*c = 8*c + 21. Suppose 89 - 285 = 3*l - 2*o, 5*l - c*o = -327. Let k = 145 - l. Is k composite? False Let d(j) = -j**3 - 8*j**2 + 7*j - 19. Let p be d(-9). Is (-7)/p + (69037 - 9) a composite number? True Let j(x) = 14*x + 2. Suppose 4 = 3*s - 107. Let t = s + -33. Is j(t
{ "pile_set_name": "DM Mathematics" }
lculate t(r(m)). 8*m**2 Suppose 173 = 39*j + 17. Let g(u) be the second derivative of -6*u + 0*u**2 + 1/12*u**j + 0*u**3 + 0. Let q(h) = 8*h. Give q(g(a)). 8*a**2 Let r(y) be the third derivative of -y**4/12 - 139*y**2. Let p(v) = 215*v. What is p(r(d))? -430*d Let y(t) be the second derivative of -t**4/4 + 428*t. Let i(w) = -4*w**2 - 5*w + 5. Let f(d) = 4*d**2 + 4*d - 4. Let n(h) = -5*f(h) - 4*i(h). Give y(n(o)). -48*o**4 Let g(q) = -9*q**2 + q. Let n(m) = 22*m - 2*m**2 + 21*m - 70*m + 27*m. Give g(n(r)). -36*r**4 - 2*r**2 Let w(y) = 4*y - 4. Let d(s) = -2*s + 4. Let z(t) = 5*d(t) + 5*w(t). Let h(a) = -31*a**2. What is z(h(c))? -310*c**2 Let x(b) = b**2 + 15. Let o(w) = w - 1. Suppose -4*t + 26 = 5*v, t + 1 + 0 = 0. Let i(u) = 8*u - 6. Let l(m) = v*o(m) - i(m). What is x(l(r))? 4*r**2 + 15 Let z(d) = 9*d**2. Suppose -25 = -5*x, 3*f - 1615 = 2*x - 113. Let a(g) = f*g + 2*g**2 - 504*g. What is z(a(m))? 36*m**4 Let s(x) be the second derivative of -7*x**4/12 - 2*x. Let d(y) = -1 - 271*y + 1 + 140*y + 141*y. Determine d(s(a)). -70*a**2 Let z(u) = -2*u**2 + 1209. Let f(v) = -3*v. What is z(f(n))? -18*n**2 + 1209 Let w(l) = 0*l + 5*l + 2*l - 3*l. Let q(k) = -10*k + 18*k + 11*k - 15*k. Calculate w(q(f)). 16*f Let n(t) = -t. Let o(a) = -4*a. Let k(p) = -2*n(p) + o(p). Let y(j) be the first derivative of j**3/3 + 39. Calculate y(k(d)). 4*d**2 Let h(v) = 2*v. Let a be 0*((-7)/7 - -2). Let o(r) be the second derivative of 0*r**2 - 5*r + 0 + a*r**3 - 1/12*r**4. Calculate o(h(n)). -4*n**2 Let u(r) be the first derivative of -r**4/4 - 7*r**3/3 + 7*r**2/2 - r + 4. Let c be u(-8). Let w(h) = 17 - 10 - c + 4*h. Let x(s) = 2*s. Calculate w(x(b)). 8*b Let c(y) = 2*y**2 - 2*y + 1. Let q(a) = -2*a**2 + 56*a - 3. Let v(h) = -3*c(h) - q(h). Let u(t) = t**2. What is v(u(i))? -4*i**4 - 50*i**2 Let t(j) be the third derivative of 7*j**4/6 - 5*j**2 - 2. Let f(w) = -3*w. Let v(s) = s. Let d(m) = f(m) + 2*v(m). Calculate d(t(n)). -28*n Let o(h) = 102*h. Let a(y) = 68*y. Let c(t) = -8*a(t) + 5*o(t). Let u(f) be the third derivative of f**4/12 - 344*f**2 + 2. What is c(u(w))? -68*w Let l(d) = -14*d - 3*d + 10*d - 6*d. Let g(a) = -3*a. Let j(k) = 9*g(k) - 2*l(k). Let u(r) = 0 + 0 - 6*r. What is u(j(w))? 6*w Let b(s) = -9*s. Let k(i) = 63*i. Let w(x) = 36*b(x) + 5*k(x). Let g(l) = 18*l. Calculate g(w(y)). -162*y Let p(s) = 5*s. Let t(y) = -22*y**2 - 13*y**2 - 3*y**2 + 72*y**2. Calculate p(t(w)). 170*w**2 Let f(n) = n. Let h(m) be the second derivative of 11*m**7/2520 - 9*m**4/4 + 21*m. Let p(t) be the third derivative of h(t). Determine p(f(r)). 11*r**2 Let b(z) = -z**2. Let n(k) = -k - 14. Let i be n(-16). Suppose -4*j = -3*c - 2, i*j - 2 = -c + 2*c. Let p(w) = 0*w**c + 14*w**2 - 7*w**2. Calculate p(b(y)). 7*y**4 Let o(i) = -24*i**2 + 2*i. Let p(t) = -2356*t. What is p(o(j))? 56544*j**2 - 4712*j Let z(k) = -15*k - 8*k - 11*k + 20*k - 4*k. Let o(n) = -13*n**2. What is o(z(j))? -4212*j**2 Let g(l) = -16*l**2 + 5*l - 4. Let w(i) = -49*i**2 + 18*i - 14. Let p(o) = -7*g(o) + 2*w(o). Let j(f) = 5*f. Calculate j(p(u)). 70*u**2 + 5*u Let l(x) be the second derivative of x**5/60 - 7*x**3/3 - 17*x. Let s(q) be the second derivative of l(q). Let a(t) = -7*t. Give s(a(v)). -14*v Let n(f) = 32*f**2 - 24. Let l(a) = -13*a**2 + 10. Let d(g) = -12*l(g) - 5*n(g). Let z(o) = 14*o**2. Determine d(z(u)). -784*u**4 Let i(u) = -9*u. Let f(m) = -6*m - 7822. Determine i(f(n)). 54*n + 70398 Let i(b) = 16*b. Let o(x) = -4*x**2 + 12. Let y(a) = -7*a**2 + 30. Let g(r) = 5*o(r) - 2*y(r). Give g(i(w)). -1536*w**2 Let h(c) = -15*c. Let z be -3 + 1/((-4)/(-36)). Let b(o) = 10 + 1 - 3*o**2 + z*o**2 + 0. Let g(a) = a**2 + 4. Let f(j) = 4*b(j) - 11*g(j). Calculate h(f(s)). -15*s
{ "pile_set_name": "DM Mathematics" }
(z*(z*z*z/(z/(z*z**4)))/z)/((z/(z*z**(6/7)))/z*z)) assuming z is positive. z**(134/7) Simplify ((z*z**(-2)/z)/(z*(z/(z/(z/z**13)))/z))/((z*z**19)/z*z*z/((z/(z/(z/z**7*z)*z))/z*z)) assuming z is positive. z**(-17) Simplify ((h*h*h*h/(h/(h**(4/5)*h)))/h*h*h)/((h*h**1)/h)*(h**(-1/3))**(-49) assuming h is positive. h**(317/15) Simplify (p/p**(-3/13)*(p*p**30)/p*p*p)**(-20/3) assuming p is positive. p**(-2880/13) Simplify ((x**(3/4)*x*x)/x**4*(x**0)**(-2))**5 assuming x is positive. x**(-25/4) Simplify (g**(-7)/g*g**16)**42 assuming g is positive. g**336 Simplify (((j/(j**(-3/4)/j))/j)/((j/(j*j**(-22)*j)*j)/j))/(j**(-17)/((j*(j/j**19*j)/j*j)/j)) assuming j is positive. j**(-77/4) Simplify (w**0*w*w**5)/(w**(-2))**45 assuming w is positive. w**96 Simplify (k*k/(k**(-3)*k))**49*k**(-1/3)/(k*k**(2/5)) assuming k is positive. k**(2914/15) Simplify ((w/(((w*w**2)/w)/w))/((w/(w/(w*w**(-1/6))))/w))/(w**(-20))**44 assuming w is positive. w**(5281/6) Simplify (((k**(-3/4)*k)/k)/k*k*k**(-4)*k*(k**(-2/7)/k)/((k*(k/(k*k**7))/k*k)/k))**(1/4) assuming k is positive. k**(55/112) Simplify ((m/m**(-1/14)*m**(-3))/(m/(m/(m/(m/((m*m**(2/7))/m))))*m)**(-2))**(11/4) assuming m is positive. m**(99/56) Simplify (a*a/(a*a**(-1/7)*a))/(a*(a/((a*a**10)/a))/a)*(a**3)**(-5) assuming a is positive. a**(-41/7) Simplify (((y**1)**(-29/3))**(3/13))**(-1/7) assuming y is positive. y**(29/91) Simplify ((m/m**(-1/12))/m*m**(-3/2))/(m**(-2/7))**43 assuming m is positive. m**(913/84) Simplify (((s*s**(-7))/s)/(s/(s*s**(-1/6)*s)))/(s**(-1))**(-16) assuming s is positive. s**(-133/6) Simplify ((d**(2/31)/d)**(3/7))**(-4) assuming d is positive. d**(348/217) Simplify (o*o**(-1/2))/(o/(o*o/(o**(2/19)/o)))*(o/(o/((o/(o**(3/4)*o))/o))*o)/(((o/o**(-4/13))/o)/o*o) assuming o is positive. o**(1321/988) Simplify ((b**(2/47)/(b/(b**12/b)*b))**(1/22))**(-2/11) assuming b is positive. b**(-425/5687) Simplify (i**(-3/26)*i)/i*i*i**13*i*i**5*i/i**(-1/6) assuming i is positive. i**(821/39) Simplify (((((t/(t/(t*t**(-6/7))))/t)/t*t)/t)/t**(2/11))/(t**9/(t*t**(-4/5)*t)) assuming t is positive. t**(-3788/385) Simplify (w/w**(-7/2))/w**7*(w/w**3)**(1/9) assuming w is positive. w**(-49/18) Simplify o**(-1)/(o**(-12/7)*o)*(o/(o**(-8/5)*o))**9 assuming o is positive. o**(494/35) Simplify (t/(t*t**(-1/4))*t**(-4/3)/t)/((t**(-4/3)*t)/(t*(t**7/t*t)/t)) assuming t is positive. t**(21/4) Simplify (l**(-3/4))**45*(l/(l*l/(l**(5/4)*l)))**(-5) assuming l is positive. l**(-40) Simplify (((f/f**7)/f*f*f*(f**(2/3)*f)/f)/(f**(2/5))**(-1/11))**(25/3) assuming f is positive. f**(-3545/99) Simplify (h**(2/5))**(24/7)/((h*h**10)/h**(-8/3)) assuming h is positive. h**(-1291/105) Simplify (w/(w**(1/4)/w))**(-8)/((w*w**(-9))/w*w*w*w**(-21)) assuming w is positive. w**14 Simplify (r*r/((r*(r**4/r)/r)/r)*r*r**(-1/15))/(r**(-5)/((r**(-12)/r)/r)) assuming r is positive. r**(-121/15) Simplify (y*y**(-19/3)*y*(y*y/(y*y/y**(-20/9))*y)/y)/(y**(2/51)*y*y**(2/23)) assuming y is positive. y**(-27032/3519) Simplify (g**(-2/23)/(g**5*g))/(g**(5/3)*g*g*g**1*g) assuming g is positive. g**(-811/69) Simplify ((k/k**(-1/38)*k)/(k*(k/(k*k**21*k))/k))**(-6/11) assuming k is positive. k**(-249/19) Simplify (v*v**(-2/29))/v**(-13)*(v*(v*v/((v/(v*v/v**(-1))*v)/v)*v)/v*v)**(1/23) assuming v is positive. v**(9466/667) Simplify (k**(-5))**(-35)*k**(2/9)/(k*k/k**(-5/3)) assuming k is positive. k**(1544/9) Simplify (w*w*w**(-5)*w*w*(w*w**(5/6)*w)/w*w)/(w**(-14)*w/(w*w*w/(w*w**23))) assuming w is positive. w**(-37/6) Simplify (p**4/p*p**(-5/3))**(1/57) assuming p is positive. p**(4/171) Simplify (((x/(x*x/((x/x**(-2/15))/x)))/(x/(x/x**(-1))))/(x**2)**(-1/4))**(2/43) assuming x is positive. x**(19/645) Simplify (v**(3/5))**40/(v**21*v*v*v/(v*v/(v/(v*v*v/v**(-5/2))*v))) assuming v is positive. v**(11/2) Simplify (c/(c*c**(3/5)))**39/(c**(-7)*c*c*c**(-8)) assuming c is positive. c**(-52/5) Simplify (q*q*q**(-1/5)*q)**(11/6)/(q**(-1/29)*q/q**(-6/7)) assuming q is positive. q**(10081/3045) Simplify (o*o/(o**(-6/5)/o*o*o)*o*o)/o**(-7)*(o/o**(5/4))/o**17 assuming o is positive. o**(-121/20) Simplify ((f**(-5)*f)/f)**3*(f*f**(-21))/(f/(f/(f/(f*f*f/(((f**(2/7)/f)/f)/f)*f*f*f)))) assuming f is positive. f**(-191/7) Simplify ((y*y**(8/7)/y)/y*y**(1/25)*y*y)/(y**10/y*y**(-7/4)) assuming y is positive. y**(-3547/700) Simplify a**4*a*a/(a*(a/a**(-6/7))/a*a)*a*a*a*a*a**(3/2)*a*a*a*a*
{ "pile_set_name": "DM Mathematics" }
6). Let u be 4/(0/3 + i). Let p(c) = c + 3 - u - 1. Determine h(p(v)). 4*v Let f(j) = -j**2. Let b(d) = 2*d**2 - 6*d. Let l(w) = 3*w. Let q(i) = -2*i. Let k(h) = 3*l(h) + 4*q(h). Let t(u) = -b(u) - 6*k(u). Determine f(t(g)). -4*g**4 Let i(c) be the third derivative of c**5/4 - 4*c**2. Let b(z) = 2*z. Calculate b(i(a)). 30*a**2 Let y(v) = 4*v**2 + 6*v + 6. Let i(r) = -5*r**2 - 7*r - 7. Let m(n) = -6*i(n) - 7*y(n). Let w(u) = -u - 1 + 1. What is m(w(c))? 2*c**2 Let y(k) = 9*k**2 - 7*k**2 - k**2. Let r(i) = 12*i**2. Give r(y(q)). 12*q**4 Let c(d) = 10*d + 3. Let r(x) = x + 12. Let w be r(-9). Let o(t) = 11*t + 4. Let n(z) = w*o(z) - 4*c(z). Let i(b) = b. Calculate n(i(p)). -7*p Let w(t) = -8*t**2. Let k(g) = g. Let l(y) = -y**2 + y. Let x(s) = 4*k(s) - 4*l(s). Calculate x(w(p)). 256*p**4 Let d(b) be the second derivative of -b**4/4 + 2*b. Let q = 1 + 1. Let r(f) = q*f - f + 3*f - 2*f. What is r(d(z))? -6*z**2 Let k(i) = 2*i**2. Let j(l) = 2*l**2 + l**2 - 6*l**2 + 6*l**2. Determine j(k(d)). 12*d**4 Let y(p) = -8*p - 3*p + 17*p - 5*p. Let w(g) = g. What is w(y(r))? r Let o(f) = -59*f. Let n(c) = -9*c. What is o(n(b))? 531*b Let r(x) = x**2. Let g(d) = 3*d - 12. Determine g(r(s)). 3*s**2 - 12 Let b(w) = -7*w. Let i(j) = -3*j + 70. What is b(i(g))? 21*g - 490 Let j(x) = x**3 + 18*x**2 + 17*x + 2. Let m be j(-17). Let p(c) = -m*c - 4*c + c + c. Let u(k) = 2*k. What is u(p(v))? -8*v Let t(x) = 3*x. Let d(g) = -22*g**2 - 5. Calculate t(d(j)). -66*j**2 - 15 Let z(v) = -2*v**2. Let u(l) = -10*l. Determine u(z(r)). 20*r**2 Let z(a) = 2*a. Let v(q) = 2*q**2 + 2*q**2 - 2*q**2. Give z(v(i)). 4*i**2 Let k(a) be the second derivative of 5*a**3/3 - 10*a. Let c(s) = 3*s**2. Calculate k(c(n)). 30*n**2 Let c(t) = t**2. Let n(o) be the third derivative of 17*o**5/120 - 7*o**3/6 + 3*o**2. Let f(r) be the first derivative of n(r). What is c(f(l))? 289*l**2 Let v(h) = 3. Let q(o) = o - 5. Let n(m) = -3*q(m) - 5*v(m). Let j(f) = -6*f. Let x(a) = -5*j(a) + 9*n(a). Let w(k) = -2*k. What is x(w(u))? -6*u Let f(l) = -3*l. Let a(w) be the second derivative of -w**6/180 + w**3/6 + 2*w. Let d(b) be the second derivative of a(b). Determine d(f(u)). -18*u**2 Let w(t) = -4*t**2 + 5*t - 5*t + 2*t**2. Let y(f) = -f**3 - 4*f**2 - 4*f + 1. Let v be y(-3). Let m(l) = l**2 - v*l**2 + 4*l**2. Determine w(m(k)). -2*k**4 Let c(q) = q. Let j = -21 - -33. Suppose 3*r + 0 = j. Let p(d) = 0*d - 6*d + r*d. Give c(p(w)). -2*w Let d(o) = -13*o. Let h(t) = -22*t. Determine d(h(u)). 286*u Let f(q) = q**2. Let g(i) be the second derivative of 5*i**4/4 + 15*i. Give f(g(c)). 225*c**4 Let i(g) = -g. Let r(o) = -4 - 26*o + 3 + 1. What is r(i(l))? 26*l Let x(z) = -149*z**2. Let g(f) = -6*f. Calculate x(g(m)). -5364*m**2 Let a(v) = 6*v + 4. Let p(l) = -7*l - 5. Let m(d) = -5*a(d) - 4*p(d). Let f(z) = 3*z. What is f(m(k))? -6*k Let s(v) = 883*v**2. Let c(y) = -y**2. What is s(c(z))? 883*z**4 Let t(o) = 0*o + 4*o - 4*o + 3*o**2. Let k(q) = -5*q. What is t(k(z))? 75*z**2 Let x(o) = 2*o. Let r(h) = -5*h - 2. Let y(v) = 66*v + 27. Let f(u) = -27*r(u) - 2*y(u). Give x(f(i)). 6*i Let y(s) = 2*s. Suppose 5*d - 11 + 1 = 0. Let b(l) = -5*l - 2*l**d + 5*l + 0*l. Determine b(y(f)). -8*f**2 Let r(l) = -5*l**2 + 32*l - 32*l + 3*l**2. Let d(w) = -3*w. Determine d(r(b)). 6*b**2 Let a(j) = 20*j + 7. Let i(b) = -9*b. Determine a(i(t)). -180*t + 7 Let x(g) = 4*g**2 + 411. Let h(s) = -4*s**2. Determine x(h(b)). 64*b**4 + 411 Let l(r) = -2*r. Let g(f) = -f - 680. Give g(l(v)). 2*v - 680 Let a(i) be the first derivative of -4*i**2 + 0*i**2 + 3 + 3*i**2. Let d(r) = 6*r**2. Calculate a(d(h)). -12*h**2 Let t be 15*-2
{ "pile_set_name": "DM Mathematics" }
4*o**3 - 3*o**3). -8*o**4 Expand ((-5*t**2 + 0*t**2 + 0*t**2)*(-2 + 6 - 2) + 3*t**2 - 3*t**2 + 2*t**2)*(0*t - 4*t + 5*t). -8*t**3 Expand (2*p**5 - 2*p**4 + 2*p**4)*(-2 - 3 - 6) + p**5 + p**5 - 1 + 3. -20*p**5 + 2 Expand -2*k - 4 + 4 + (-1 + 4 - 5)*(-1 + 1 - 2*k) - 2 - 3*k + 2. -k Expand (0*p**2 - 3*p**2 + p**2)*(0*p - 6*p + p)*(2*p - 4*p - 3*p). -50*p**4 Expand d - d - d**5 + 0*d**5 + 0*d**5 + 5*d**5 + (3*d**4 - d**4 - d**4)*(d - 4*d + 2*d) + 0*d**5 + d**5 + d**5. 5*d**5 Expand -2*v**3 - 3 + 3 - 5*v + 0 + 0 + 2*v**3 + (-4*v + v + v)*(-v**2 + 2*v**2 - 3*v**2) + 4*v**3 + 0*v**3 - 2*v**3. 6*v**3 - 5*v Expand (11 + 10 - 20 - 16*r)*(-2 + 3 + 3)*(5 - 2 - 4). 64*r - 4 Expand (0 + 0 + k)*(1 + 4 - 8). -3*k Expand (3*f**4 - 2*f**4 - 2*f**4 + (2*f**2 + f**4 - 2*f**2)*(1 - 3 + 0))*(-f + 6*f - f). -12*f**5 Expand (-3 + 4 + 1)*(1 + 2*n**4 - 1) - 287*n**3 + 35*n**4 + 287*n**3. 39*n**4 Expand (-10*t**2 - 2*t**2 + t**2)*(3*t**3 + 8*t**3 - 2*t**3). -99*t**5 Expand 2 - 5*y - y + 5*y + (2*y - 3*y + 0*y)*(-1 - 2 + 4) + 3*y + 0*y - y - 3*y + y + 3*y. y + 2 Expand -2*j + j + 2*j + (0 + 1 - 2)*(-j + 2*j - 3*j) - 2*j + j + 3*j + 0*j + 0*j - 3*j. 2*j Expand (l + l + 0*l)*(13 + 18*l + 24*l - 45*l). -6*l**2 + 26*l Expand h + 0 + 0 - 2*h + 0 + 0 - 2*h - 3*h + 4*h + (-1 + 3 + 0)*(-3 + 3 + 2*h) - 7*h - 36*h + 19*h. -22*h Expand (-68*p**3 + 68*p**3 + 5*p**5)*(4 - 4 + 1). 5*p**5 Expand (0 - 1 + 2)*(1 - 3 - 4)*(1 + 0 - 2)*(-4*d**5 + 2*d**5 + 0*d**5). -12*d**5 Expand -3*u**2 - 1 + 1 + u - u - 2*u**2 + (4*u - 4*u - u)*(-2*u + 3*u + u) + u**2 + u**2 - u**2. -6*u**2 Expand (0*v**4 + 5*v**4 - 3*v**4)*(0 - 3 + 0). -6*v**4 Expand (-3*l - 4*l - 5*l)*(0 - 4 + 3). 12*l Expand 3*t + 10*t + 3*t + 5*t - 3*t - 3*t + t + t + 0*t - t - 3*t + 5*t - 3 + 3 + 2*t + (-2*t + 5*t - t)*(-1 + 1 + 1) + 0*t - 5*t + 4*t. 21*t Expand (0*a**2 + a**2 + 2*a**2)*(4*a - 4*a + 2*a**2). 6*a**4 Expand (19*x**3 + 3*x**4 - 2*x + 16*x**3 - 31*x**3)*(-3 + 0 + 2). -3*x**4 - 4*x**3 + 2*x Expand (3*d + 3*d - 2*d)*(2*d + 2 - d - 4*d). -12*d**2 + 8*d Expand (3*p - 5*p**2 - 3*p)*(1 - 1 + 3*p). -15*p**3 Expand (-b + 0*b + 2*b)*(12 - 44 - 21 + (3 - 4 + 2)*(-1 - 1 + 1) - 1 + 4 - 1). -52*b Expand (3*f + 2*f - 4*f)*(2*f**2 - 22*f**3 - 2*f**2). -22*f**4 Expand (6*s + 2 - 4*s + s)*(4 - 4*s**3 - 4). -12*s**4 - 8*s**3 Expand (-3 + 3 - c)*(1 - 2 + 2) - 4*c - 5*c + c. -9*c Expand (1 + 14*t**2 - 1)*((-3*t + 2*t + 2*t)*(3 - 1 - 3) - 3*t + 4*t - 3*t). -42*t**3 Expand (-x + 2*x - 2*x)*(-2 + 6 - 2 + (-4 + 1 + 2)*(-5 + 3 - 1) - 3 + 3 - 1). -4*x Expand (o**2 - 2*o**2 + 0*o**2)*(3*o + 0*o - 5*o) + 67*o - 67*o + 14*o**3. 16*o**3 Expand (-h**2 - 2*h**2 + 5*h**2)*(3*h**2 - h**2 + 2*h**2) + (-h**2 + 2*h**2 - 2*h**2)*(4*h**2 + 0*h**2 - 2*h**2) - 2*h**4 - 3*h**4 + 4*h**4. 5*h**4 Expand (-4 + 4 - 2)*(4*j - j - j) - 4*j + 0*j + 3*j + (j - 2*j + 0*j)*(0 - 3 + 4). -6*j Expand (-2 - 4 - 1)*(-4 + w + 4)*(w**2 + 3 - 3). -7*w**3 Expand (3*b + 0*b - 6*b)*(2*b + 5*b - 5*b)*(3*b**2 + 4 - 4). -18*b**4 Expand 2*p**2 - p**4 + p**3 - 2*p**2 + (-3*p - 2*p + 3*p)*(-9*p**3 + 7*p**3 + 5*p**3) - 4*p**4 + 2*p**4 + 3*p**4. -6*p**4 + p**3 Expand (15 + 5*h**3 + 17 - 33)*(2 - 2 + h)*(-h + 1 - 1). -5*h**5 + h**2 Expand (-2*t**3 + 0*t**3 + t**3)*(0 + 0 + 3*t) + (-2*t + 2*t + t)*(4*t**3 - 4*t**3 + 2*t**3). -t**4 Expand (5*x + 4*x - x)*(-3 - 2*x + 2 + 2). -16*x**2 + 8*x Expand (-4*t + 3*t + 3*t + (-1 + 2*t + 1)*(3 + 3 - 4))*(8*t - t + 7*t) + (-t + 3 - 3)*(3*t + 2*t - 7*t) - t**2 + 7*t**2 -
{ "pile_set_name": "DM Mathematics" }
or 0 - 1/3*r - 1/6*r**2. -r*(r + 2)/6 What is b in -73*b - 35*b + 22*b**2 + 12 + 87*b**2 + 134*b**2 = 0? 2/9 Let y be 596/(-880) + (-3)/(-4). Let l = 232/165 - y. Factor -14/3*b**2 + l - 10/3*b. -2*(b + 1)*(7*b - 2)/3 Suppose -12/7 + 24/7*d + 3/7*d**3 - 15/7*d**2 = 0. What is d? 1, 2 Suppose -20 + 2 = -3*c. Let k be 14/c - 9/27. Factor 2/7*t**k + 0 + 4/7*t. 2*t*(t + 2)/7 Let n be (-3)/2 + (-33)/(-22). Suppose 4*h**3 - h + 4 - 5*h + n*h - 6*h**2 + 0*h = 0. Calculate h. -1, 1/2, 2 Let s(b) be the second derivative of -b**7/11340 - b**6/1620 - b**5/540 - b**4/12 - 2*b. Let x(q) be the third derivative of s(q). Let x(g) = 0. What is g? -1 Let v(f) be the third derivative of -f**11/831600 + f**9/75600 - f**7/12600 + f**5/30 + 2*f**2. Let w(c) be the third derivative of v(c). Solve w(x) = 0. -1, 0, 1 Let x(h) = -h - 4. Let j be x(-9). Suppose -j*d = -4*d. Let d*n**3 - 1/2*n**4 + 1/2*n**2 + 0 + 0*n = 0. Calculate n. -1, 0, 1 Let w(v) be the third derivative of 5*v**8/336 - v**7/14 + v**6/24 + v**5/4 - 5*v**4/12 - 24*v**2. Find c, given that w(c) = 0. -1, 0, 1, 2 Determine c, given that -2*c + 69*c**5 + 5*c**2 - 3*c**3 - 36*c**5 - c**4 - 32*c**5 = 0. -2, 0, 1 Let z(a) = 2*a**2 - 2*a + 1. Let w be z(2). Find n such that 0*n**w + 8*n**2 + n**5 - 6*n**4 + n**5 = 0. -1, 0, 2 Let a(y) = y**4 + y**3 + y - 1. Let z(j) = -3*j + 6*j**3 + 4*j**4 - j**2 - 3 - 2*j + j + 0*j. Let c(n) = a(n) - z(n). Determine k, given that c(k) = 0. -1, -2/3, 1 Let -6/7*v + 3*v**3 + 9/7*v**4 - 15/7*v**5 + 0 - 9/7*v**2 = 0. What is v? -1, -2/5, 0, 1 Let q(l) = l**5 + l**3 - l**2. Let v(x) = -10*x**5 - 4*x**4 + 2*x**3 + 14*x**2 - 4*x - 4. Let c(z) = -6*q(z) - v(z). Factor c(j). 4*(j - 1)**2*(j + 1)**3 Factor -4/5*b**3 + 0 + 2/5*b**4 + 3/5*b - 2/5*b**2 + 1/5*b**5. b*(b - 1)**2*(b + 1)*(b + 3)/5 Let i(u) be the second derivative of 0*u**6 + 0*u**4 - 2*u - 1/42*u**7 - 1/6*u**3 + 1/10*u**5 + 0*u**2 + 0. Factor i(h). -h*(h - 1)**2*(h + 1)**2 Let y(i) be the third derivative of i**7/105 - i**6/15 - 11*i**5/30 - i**4/2 + 12*i**2 + i. Factor y(a). 2*a*(a - 6)*(a + 1)**2 Factor -2/7*l**5 + 4/7*l**3 + 0*l**2 + 0*l**4 - 2/7*l + 0. -2*l*(l - 1)**2*(l + 1)**2/7 Factor -9*a + 6 + 9 + 11*a**2 + 29*a - 6*a**2. 5*(a + 1)*(a + 3) Factor -4*o**4 - 9 + 12*o**2 - 4*o**3 + 4*o + 2 - 1. -4*(o - 1)**2*(o + 1)*(o + 2) Suppose -18/5*i - 3/5*i**2 - 27/5 = 0. Calculate i. -3 Factor 14*s**2 + 7*s - 2*s**4 - 37*s + 18*s. -2*s*(s - 2)*(s - 1)*(s + 3) Let r(a) be the third derivative of a**5/210 + a**4/84 - 2*a**3/21 - 5*a**2. Factor r(v). 2*(v - 1)*(v + 2)/7 Let f be 5/2 - 3/6. Suppose -2*m + 3*z + 5 = -0*m, -2*z = -3*m + 5. Factor g + 1/4*g**f + m. (g + 2)**2/4 Let k(n) = n**2 + 1. Let j(b) = -b**2 - 8*b + 3. Let v(g) = j(g) + 3*k(g). Factor v(m). 2*(m - 3)*(m - 1) Let s(f) be the second derivative of -3*f**5/20 + f**4/4 + 2*f**3 - 6*f**2 - 9*f. Factor s(l). -3*(l - 2)*(l - 1)*(l + 2) Let d be 5/4*(-7 + 11). Let x(g) be the first derivative of 1 + 0*g - 2/27*g**3 + 1/9*g**4 - 2/45*g**d + 0*g**2. Factor x(p). -2*p**2*(p - 1)**2/9 Factor 3/5*w**2 - 6/5 - 3/5*w. 3*(w - 2)*(w + 1)/5 Let s be (-20 + 16)*(-2)/4. Let r = -3 - -6. Solve 3*q**s + q**3 - r + 3 - 4*q**2 = 0. 0, 1 Let v(q) be the third derivative of 1/270*q**5 + 0*q - 1/108*q**4 + 0 - 3*q**2 - 2/27*q**3. Factor v(k). 2*(k - 2)*(k + 1)/9 Let c(t) = -2*t + 11. Let z be c(5). Let h(v) be the first derivative of -1/2*v**2 - 2*v - z + 1/3*v**3. Suppose h(n) = 0. What is n? -1, 2 Let x(i) be the third derivative of -i**7/30 + i**6/24 + 4*i**5/15 + i**4/6 + 29*i**2. Factor x(p). -p*(p - 2)*(p + 1)*(7*p + 2) Let d be 0/1*1/(-2). Suppose 2*h = -2*h + 3*o + 17, -4*h - 2*o + 22 = d. Factor 2/7*z**3 - 4/7*z**4 + 0 + 2/7*z**h + 0*z**2 + 0*z. 2*z**3*(z - 1)**2/7 Factor 0*b**2
{ "pile_set_name": "DM Mathematics" }
3174, 4269, 5364? 1095*q - 111 What is the t'th term of 10, 49, 92, 145, 214? t**3 - 4*t**2 + 44*t - 31 What is the q'th term of 30292, 60554, 90820, 121090? 2*q**2 + 30256*q + 34 What is the n'th term of -361, -395, -439, -499, -581, -691, -835, -1019? -n**3 + n**2 - 30*n - 331 What is the c'th term of 126, 302, 478, 654, 830, 1006? 176*c - 50 What is the n'th term of -900, -846, -792, -738, -684? 54*n - 954 What is the b'th term of 112406, 112386, 112368, 112352, 112338, 112326? b**2 - 23*b + 112428 What is the l'th term of 230, 283, 336? 53*l + 177 What is the n'th term of -1022, -3241, -6936, -12101, -18730, -26817, -36356? n**3 - 744*n**2 + 6*n - 285 What is the w'th term of -1384, -1304, -1260, -1270, -1352, -1524, -1804, -2210? -3*w**3 + 101*w - 1482 What is the q'th term of -78578, -157160, -235742? -78582*q + 4 What is the r'th term of -341, -370, -399? -29*r - 312 What is the i'th term of 13334, 13332, 13330? -2*i + 13336 What is the l'th term of -271, -598, -985, -1438, -1963, -2566? -l**3 - 24*l**2 - 248*l + 2 What is the j'th term of 22871, 22868, 22867, 22868, 22871, 22876, 22883? j**2 - 6*j + 22876 What is the h'th term of -3515994, -3515996, -3515998? -2*h - 3515992 What is the u'th term of 146, 284, 438, 632, 890, 1236, 1694, 2288? 4*u**3 - 16*u**2 + 158*u What is the t'th term of -2382, -2388, -2398, -2412, -2430, -2452? -2*t**2 - 2380 What is the g'th term of -14942, -14936, -14930? 6*g - 14948 What is the m'th term of 371, 384, 407, 446, 507, 596, 719, 882? m**3 - m**2 + 9*m + 362 What is the m'th term of 3631, 14537, 32713, 58159? 3635*m**2 + m - 5 What is the o'th term of -63560, -63566, -63576, -63590, -63608, -63630, -63656? -2*o**2 - 63558 What is the z'th term of -124, -222, -332, -460, -612? -z**3 - 91*z - 32 What is the w'th term of -1908, -1899, -1890, -1881, -1872, -1863? 9*w - 1917 What is the y'th term of -2177, -3261, -4335, -5393, -6429, -7437, -8411? y**3 - y**2 - 1088*y - 1089 What is the b'th term of 18574, 18576, 18578, 18580, 18582, 18584? 2*b + 18572 What is the c'th term of 153875, 153887, 153897, 153905, 153911, 153915, 153917? -c**2 + 15*c + 153861 What is the u'th term of 608389, 608390, 608391, 608392, 608393? u + 608388 What is the v'th term of -12579, -25135, -37675, -50193, -62683, -75139, -87555, -99925? v**3 + 2*v**2 - 12569*v - 13 What is the v'th term of -6336, -12676, -19012, -25344, -31672, -37996? 2*v**2 - 6346*v + 8 What is the k'th term of -97, -198, -301, -406, -513, -622? -k**2 - 98*k + 2 What is the j'th term of -573, -1219, -1863, -2505, -3145, -3783? j**2 - 649*j + 75 What is the p'th term of -262, -361, -460, -559, -658, -757? -99*p - 163 What is the g'th term of -981, -1866, -2751, -3636? -885*g - 96 What is the k'th term of -7668, -7736, -7804, -7872? -68*k - 7600 What is the m'th term of -19293, -19382, -19627, -20106, -20897, -22078, -23727, -25922? -13*m**3 + 2*m - 19282 What is the t'th term of 1158164, 2316326, 3474488, 4632650, 5790812? 1158162*t + 2 What is the p'th term of -335, -2044, -6683, -15716, -30607, -52820, -83819? -244*p**3 - p**2 + 2*p - 92 What is the a'th term of 1673, 3174, 4675, 6176? 1501*a + 172 What is the i'th term of -685, -728, -761, -778, -773, -740, -673, -566? i**3 - i**2 - 47*i - 638 What is the x'th term of -45559, -45557, -45555, -45553, -45551, -45549? 2*x - 45561 What is the x'th term of 83668, 83677, 83686, 83695, 83704, 83713? 9*x + 83659 What is the i'th term of 1675, 13409, 45241, 107221, 209399, 361825? 1675*i**3 - i**2 + 12*i - 11 What is the p'th term of 28698, 57363, 86014, 114645, 143250, 171823, 200358? -p**3 - p**2 + 28675*p + 25 What is the c'th term of 4857, 9717, 14579, 19443, 24309, 29177, 34047? c**2 + 4857*c - 1 What is the m'th term of 12699, 25396, 38093, 50790, 63487? 12697*m + 2 What is the k'th term of 331563, 663126, 994689? 331563*k What is the l'th term of -4154, -8268, -12364, -16436, -20478? l**3 + 3*l**2 - 4130*l - 28 What is the r'th term of -410696, -410699, -410702, -410705, -410708? -3*r - 410693 What is the n'th term of 26, 335, 1180, 2831, 5558? 45*n**3 - 2*n**2 - 17 What is the a'th term of 441, 867, 1291, 1713, 2133, 2551, 2967? -a**2 + 429*a + 13 What is the i'th term of 6, 75, 206, 423, 750? 4*i**3 + 7*i**2 + 20*i - 25 What is the m'th term of -796, -6528, -22090, -
{ "pile_set_name": "DM Mathematics" }
*s, 5*v = 3*s + 56. Let b(g) = 7*g - 12. What are the prime factors of b(v)? 2, 29 Let a(p) be the first derivative of -p**3/3 + 5*p**2/2 + 13*p - 2. Suppose -2*z = -3*h + 2*z + 6, 3*h - 21 = -z. List the prime factors of a(h). 7 Suppose -6*y = -w + 2993, -7013 - 5039 = -4*w + 4*y. What are the prime factors of w? 7, 431 Let v = -556 - -1204. List the prime factors of v. 2, 3 Let g = 74 - 70. Suppose 0 = -g*c - 0*c + 228. What are the prime factors of c? 3, 19 Let l = -203 + 105. Let f = l + 291. What are the prime factors of f? 193 List the prime factors of ((0 - 1) + 12 + 98)*1. 109 Suppose -4*u + 1220 + 2800 = 0. What are the prime factors of u? 3, 5, 67 List the prime factors of (42/105)/((-5)/((-198525)/6)). 2647 Suppose 4*r - 31*r = -21060. What are the prime factors of r? 2, 3, 5, 13 Let q = 16 + -51. Let w be 1*((-6 - -5) + -13). Let m = w - q. List the prime factors of m. 3, 7 Let b(h) = 13*h**2 - 19*h - 580. What are the prime factors of b(-19)? 2, 2237 Let g be ((-4)/(-5))/(14/35). Suppose 0 = -g*y + i + 97, i + 103 = 2*y + 2*i. List the prime factors of y. 2, 5 Let t(r) = r**2 - 8*r - 16. Let p be t(10). Let i(k) = 69*k - 19. List the prime factors of i(p). 257 Suppose -2*f + 5*q = 9, 15*f - 10*f - 3*q = -13. Let j(r) = 6*r + 2. Let p(d) = -d - 1. Let o(y) = -j(y) + 3*p(y). What are the prime factors of o(f)? 13 Suppose 3*j + 3 = 3*l, 2*j + 3*l - 7 = 11. Suppose k - j*y - 19 - 24 = 0, y + 4 = 0. Let a = k + -16. What are the prime factors of a? 3, 5 Let l(q) = 50*q - 4. Let d be l(2). Suppose -4*g + d = -148. List the prime factors of g. 61 List the prime factors of (-7 - -17 - -3577) + -4. 3583 Let m(z) = 99*z**2 - 119*z + 567. What are the prime factors of m(5)? 2447 Let s be (-10)/4*-2 + -1. Suppose -2*t - 2*g = -516, 0*t + s*t - 1056 = 2*g. What are the prime factors of t? 2, 131 Let d be (-3 - 0/(-3)) + 57. Let f = 109 - d. List the prime factors of f. 5, 11 Suppose -1975 = -4*b + l, 2*l = -4*b + 173 + 1817. Suppose z - b = -4*z. List the prime factors of z. 3, 11 Suppose -j = 4, 10 + 19 = -z - 5*j. List the prime factors of (-1118)/(-4) - (z/2)/9. 2, 5, 7 Let f be 1/((-14)/(-35) + (-573)/1445). Suppose 6*d - 5 - f = 0. What are the prime factors of d? 7 Suppose 2 + 4 = 3*l. Suppose 2*n + l*m = 76, -n - 40 = -2*n + m. Let a = 68 - n. List the prime factors of a. 29 Let q(n) = 5*n**2 + 10*n - 4. What are the prime factors of q(-12)? 2, 149 Suppose -19 + 4 = 3*o, -k - o = -13. Let v = k + -15. Suppose -15 = -v*t, 0*g - 3*t = -2*g + 79. List the prime factors of g. 47 Let f(s) = -9*s + 33. Let q(i) = 4*i - 16. Let u(k) = -3*f(k) - 7*q(k). Let l be u(11). Suppose l*v = -3*v + 210. List the prime factors of v. 2, 3, 7 Suppose -3*j + 135 = 36. Suppose -5 + j = 4*t. Suppose -y = -3*n + t, -3*y - y = -n - 27. List the prime factors of y. 2 Let o(i) = 205*i - 725. What are the prime factors of o(31)? 2, 5, 563 Let x = 11991 + -8243. What are the prime factors of x? 2, 937 Let p(y) = 24*y**2 - 15*y + 39. List the prime factors of p(7). 2, 3, 5, 37 Let i be -8 + 10 + 70/2. Let v = 57 - i. What are the prime factors of 7/(-21) + v/6? 3 Let p(u) = u**3 - 21*u**2 + 96*u - 31. What are the prime factors of p(24)? 4001 Suppose -2*m - l + 34 = 4*l, 2*m + 2*l = 28. Suppose -2*w + 5*w - c = 3, 4*w + m = -4*c. Suppose w*q = 2*q - 36. What are the prime factors of q? 2, 3 Let m = 24 + -23. Let g be (-2 - -2)/m - 2. List the prime factors of (-11)/g*16/4. 2, 11 Suppose -281 = -12*j + 11*j. Let w = j - 136. List the prime factors of w. 5, 29 Let r = -24 + 19. Let o(b) = b**3 + 12*b**2 + 3*b + 4. List the prime factors of o(r). 2, 41 Let k = 664 - -2055. List the prime factors of k. 2719 Suppose -2*a + 51 = -2*s - 3*a, 5*s = -3*a - 127. What are the prime factors of 138/(-4)*s/39? 23 Let j(l) = l**2 - 2*l + 3. Let t be j(3). Suppose -t*y = -y - 15. Suppose -a = f - 5*f - 7, -3*a - y*f = -36. What are the prime factors of a? 11 Let r(q) = 3*q + 2. Let a be r(2). Let f be 5/(5/(-2)) + 18. Let i = f - a. What are the prime factors of i? 2 Let u(x) = 2*x**2 + 25*x - 19. Let q(r) = -r**2 - 12*r + 9. Let o(y) = 13*q(y) + 6*u(y). What are the prime factors of o(-6)? 3 Suppose -t - 4*o + 486 = -o, 2*o = -t + 483. What are the prime factors of t? 3, 53 Let i(m) = -m**2 + 33*m - 1. What are the prime factors of i(25)? 199 Let b be (-105)/(-14) - (-6)/(-4). Let p(v) = v**3 - 4*v**2 - 9*v + 1. Let c be p(b). Let m = -15 + c. List the prime factors of m. 2 Let x(r) = 5*r**2 - 6*r - 14. Let y be x(-5). Suppose 6*q - y = 219. List the prime factors of q. 2, 3, 5 Let r(d) = -250*d - 33. List the prime factors of r(-1). 7, 31 What are the prime factors of (-1)/(-4)*15231 +
{ "pile_set_name": "DM Mathematics" }
re there in 13/4 of a year? 39 How many kilograms are there in 6/25 of a tonne? 240 What is 995.88 micrograms in grams? 0.00099588 What is 35.37615 weeks in nanoseconds? 21395495520000000 How many milligrams are there in 1/10 of a gram? 100 What is twenty-nine thirds of a hour in seconds? 34800 How many litres are there in 24497.26 millilitres? 24.49726 What is 12/25 of a milligram in micrograms? 480 What is 19/4 of a gram in milligrams? 4750 How many seconds are there in 9.594171 hours? 34539.0156 Convert 58.13006 centuries to months. 69756.072 How many nanometers are there in 777343.3 micrometers? 777343300 What is one quarter of a minute in seconds? 15 How many nanometers are there in 3/10 of a micrometer? 300 How many seconds are there in sixty-four thirds of a hour? 76800 How many centimeters are there in 4206.81 millimeters? 420.681 Convert 508.8691mm to kilometers. 0.0005088691 What is 17/6 of a year in months? 34 How many months are there in twenty-one eighths of a millennium? 31500 How many nanometers are there in three fifths of a micrometer? 600 What is seven halves of a litre in millilitres? 3500 What is 1.1990961 hours in days? 0.0499623375 How many millilitres are there in 5/4 of a litre? 1250 What is 34/5 of a tonne in kilograms? 6800 How many months are there in 2/75 of a millennium? 320 Convert 4.313628 micrograms to tonnes. 0.000000000004313628 How many nanograms are there in 7/2 of a microgram? 3500 How many millilitres are there in 7.84086 litres? 7840.86 How many days are there in 8/7 of a week? 8 What is 3/40 of a week in seconds? 45360 What is 7/2 of a tonne in kilograms? 3500 What is 670.4152ng in grams? 0.0000006704152 What is 53/4 of a litre in millilitres? 13250 What is 0.9681806 litres in millilitres? 968.1806 What is 3.424022 litres in millilitres? 3424.022 What is six fifths of a century in months? 1440 What is 2/15 of a decade in months? 16 What is 1/16 of a gram in micrograms? 62500 How many decades are there in 42/5 of a millennium? 840 How many meters are there in 18829.29nm? 0.00001882929 What is 55.92722 decades in centuries? 5.592722 What is seventeen halves of a litre in millilitres? 8500 What is 65/3 of a decade in months? 2600 What is 894952.5 seconds in minutes? 14915.875 How many decades are there in 535.9533 millennia? 53595.33 Convert 137912.9 millimeters to micrometers. 137912900 How many millilitres are there in 1/5 of a litre? 200 What is ten sevenths of a week in minutes? 14400 What is 49413.13 millimeters in centimeters? 4941.313 How many kilograms are there in eleven quarters of a tonne? 2750 What is one sixth of a millennium in months? 2000 What is 27/5 of a litre in millilitres? 5400 Convert 2.172362g to micrograms. 2172362 Convert 7.019058 microseconds to nanoseconds. 7019.058 How many seconds are there in one tenth of a hour? 360 How many millennia are there in 0.2034072 months? 0.0000169506 Convert 724551.9ns to seconds. 0.0007245519 What is 21/2 of a century in decades? 105 Convert 6.712485cm to kilometers. 0.00006712485 How many seconds are there in 46.64374 days? 4030019.136 What is 2/27 of a week in seconds? 44800 What is eighteen fifths of a litre in millilitres? 3600 How many centuries are there in fifty-two fifths of a millennium? 104 What is 3/10 of a litre in millilitres? 300 How many grams are there in 53/5 of a kilogram? 10600 What is 2/7 of a week in hours? 48 What is 46/5 of a meter in millimeters? 9200 How many micrometers are there in twenty-one fifths of a centimeter? 42000 What is one fifteenth of a minute in seconds? 4 What is 45/2 of a century in decades? 225 How many decades are there in 576.3323 years? 57.63323 What is 7/4 of a microgram in nanograms? 1750 What is fifteen sixteenths of a century in months? 1125 What is 0.1987499l in millilitres? 198.7499 How many litres are there in 0.5725448 millilitres? 0.0005725448 How many minutes are there in 7/16 of a week? 4410 How many millilitres are there in 0.4160573 litres? 416.0573 What is 26/5 of a gram in milligrams? 5200 What is 32/5 of a kilogram in grams? 6400 What is three fifths of a litre in millilitres? 600 How many litres are there in 8.019592ml? 0.008019592 Convert 91.94846 kilometers to millimeters. 91948460 How many centimeters are there in 41514.2 nanometers? 0.00415142 How many milliseconds are there in five eighths of a minute? 37500 How many kilometers are there in 354.4493 meters? 0.3544493 How many micrograms are there in 5/4 of a milligram? 1250 How many seconds are there in eleven tenths of a minute? 66 How many decades are there in 5/4 of a millennium? 125 Convert 7.234513kg to grams. 7234.513 What is 1/18 of a week in minutes? 560 What is seven thirds of a decade in months? 280 How many nanometers are there in 3/8 of a micrometer? 375 How many nanoseconds are there in 41/2 of a microsecond? 20500 What is 6923.612 centuries in decades? 69236.12 What is 185.0744 meters in micrometers? 185074400 Convert 102.4726m to micrometers. 102472600 Convert 4.570407 millennia to months. 54844.884 How many kilograms are there in 122.7011t? 122701.1 What is two fifteenths of a century in months? 160 How many minutes are there in one sixth of a day? 240 What is 574473.3 nanograms in micrograms? 574.4733 How many millilitres are there in seven quarters of a litre? 1750 How many months are there in 2/15 of a decade? 16 How many micrograms are there in 3/8 of a milligram? 375 Convert 0.2730648 weeks to microseconds. 165149591040 How many millilitres are there in six fifths of a litre? 1200 What is 3/32 of a millennium in months? 1125 What is 11/4 of a day in hours? 66 How many kilograms are there in seventeen halves of a tonne? 8500 What is 356.1679 grams in nanograms? 356167900000 What is 3/5 of a litre in millilitres? 600 How many nanometers are there in 21/4 of a micrometer? 5250 What is seven halves of a gram in milligrams? 3500 How many millilitres are there in 0.807545l? 807.545 What is 3/40 of a kilogram in grams? 75 How many months are there in 43/4 of a decade? 1290 What is 65158.39 meters in micrometers? 65158390000 How many years are there in three eighths of a millennium? 375 What is 43/2 of a gram in milligrams? 21500 What is 18/5 of a tonne in kilograms? 3600 How many decades are there in 5/4 of a millennium? 125 How many millilitres are there in 9.99189 litres? 9991.89 How many hours are there in three eighths of a week?
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to 413? (a) -5 (b) -4 (c) 5 (d) 4 c Which is the nearest to 15? (a) -1/2 (b) -0.1 (c) -2 (d) 0.1 d What is the closest to 1 in 11, -0.5, 0.34? 0.34 What is the nearest to 1 in 1, -1/6, -17, 2? 1 Which is the nearest to -11? (a) 0.03 (b) 2 (c) 0 c Which is the closest to 5? (a) 5 (b) -4 (c) 0.3 (d) -1 a What is the nearest to 0.2 in 2, 141, 3? 2 What is the closest to 1 in 1, 0.5, 4, 69? 1 What is the nearest to 0 in 2, -1.86, 0? 0 What is the closest to 5 in 16.5, -2/5, 2? 2 Which is the closest to 2? (a) -2 (b) 223 (c) 2/7 (d) -14 c What is the nearest to -6 in 1/5, 2/5, -491? 1/5 Which is the nearest to 14? (a) -1/32 (b) 4/5 (c) 1 c Which is the nearest to 2/13? (a) -3/2 (b) 2 (c) -0.3 (d) -0.5 c What is the closest to -0.1 in 4, -2/5, 5/3? -2/5 Which is the closest to -27? (a) -3 (b) 2/21 (c) 0.1 (d) -1/3 a Which is the nearest to 1? (a) 3 (b) 0.5 (c) 8.3 b What is the closest to 39 in -0.2, 2, -5? 2 Which is the nearest to -1/11? (a) -8 (b) -4 (c) 4 b What is the nearest to -90 in -1, 0.04, 5? -1 Which is the closest to 7/152? (a) 2/5 (b) -0.4 (c) -2 (d) -1 a What is the closest to -2/5 in 4, 0.2, 7/3, -2? 0.2 What is the closest to -0.1 in 0.6, 2, 4, -2? 0.6 Which is the closest to -3? (a) 0.4 (b) -0.4 (c) 2.6 b Which is the closest to 0.1? (a) -2 (b) 2/3 (c) -8 (d) 3/2 b Which is the closest to 6? (a) -9 (b) -0.1 (c) 0.3 (d) 0 c Which is the nearest to 0.29? (a) -1/6 (b) -4 (c) 1/9 c Which is the closest to -1/7? (a) 2 (b) 3 (c) 0.1 (d) -2/3 c What is the closest to 0.4 in 1/2, 1/9, -2, 3? 1/2 What is the closest to 0 in 1, -0.1, 4? -0.1 What is the nearest to -27 in 0, -6, -3/8, -0.1? -6 Which is the nearest to -6? (a) 0 (b) 0.02 (c) 0.3 (d) 38 a What is the nearest to -1 in 6/11, -2, 1/2, -8/9? -8/9 Which is the nearest to -1/4? (a) -5 (b) 1/5 (c) 2 b What is the closest to -3 in 3, -0.5, -6/5? -6/5 What is the closest to -0.6 in -3/8, -10, 0.2, 14? -3/8 What is the closest to 0 in -1, 40, -5? -1 What is the closest to 0.9 in -0.61, -7, -3? -0.61 Which is the closest to 3? (a) -13 (b) 0.7 (c) 0.1 (d) 0 b What is the closest to 0.2 in 6, 0.5, 15? 0.5 What is the closest to -0.6 in -5, -2, -0.79, 0.2? -0.79 What is the nearest to -25 in 8, 4, 0? 0 Which is the closest to 2? (a) 4 (b) -1 (c) -2/19 a What is the closest to 5 in -0.5, -3, 7? 7 Which is the closest to 1/4? (a) -1/2 (b) -0.07 (c) -2 (d) -4 b What is the nearest to 0.16 in 7, -2/5, -3/2, 3/8? 3/8 Which is the closest to 0.1? (a) 1/8 (b) 2 (c) -2 (d) 0.2 a What is the nearest to -1/3 in 0.48, -4, -5, -0.1? -0.1 What is the nearest to 4 in 4/3, -30, -3/2, -2/15? 4/3 Which is the nearest to -0.1? (a) 3 (b) -3/2 (c) 30 b Which is the closest to 1? (a) 1 (b) -2/9 (c) 30 a What is the nearest to -2 in 0.4, -6/11, 2, 6? -6/11 What is the closest to -1 in 2.4, -3/7, 0.2? -3/7 What is the closest to 0.2 in 0, 0.5, -9/5? 0 Which is the nearest to -1/3? (a) -2/5 (b) -1 (c) 0.06 a Which is the closest to -2/5? (a) 0 (b) -1/6 (c) 1/6 (d) 0.3 b Which is the closest to 0.1? (a) 0.07 (b) -84 (c) 0.01 a Which is the nearest to 0.1? (a) -2/21 (b) 4 (c) 6/11 a What is the closest to -1/4 in 1/8, 3/13, 2/27? 2/27 What is the nearest to -1 in 1/9, 5, 15, 183? 1/9 Which is the closest to 2? (a) 1 (b) -3 (c) 2/7 (d) -2 a What is the nearest to 313 in 2, -1, -4? 2 What is the nearest to -1/4 in 0.5, -5, 3/53, -2? 3/53 Which is the nearest to -0.3? (a) -2/5 (b) 13 (c) 1 a Which is the closest to 8? (a) -4/3 (b) 1/28 (c) 4/3 c What is the nearest to 2/7 in -4/7, 93, -4? -4/7 What is the closest to -1/2 in 0, 54, 2/9, 0.1? 0 What is the nearest to 2/3 in 4, 0.57, -0.4, 8? 0.57 What is the nearest to -0.3 in 1/3, -4, 8/3? 1/3 Which is the closest to 0.1? (a) -2/9 (b) 2 (c) 25 a What is the closest to -0.3 in -4, 3, -2/7? -2/7 Which is the nearest to
{ "pile_set_name": "DM Mathematics" }
7 to the power of 1/2, to the nearest integer? 936 What is the square root of 191139 to the nearest integer? 437 What is the square root of 14531307 to the nearest integer? 3812 What is 87942 to the power of 1/6, to the nearest integer? 7 What is the fourth root of 1247151 to the nearest integer? 33 What is the cube root of 629535 to the nearest integer? 86 What is 44505 to the power of 1/8, to the nearest integer? 4 What is 873966 to the power of 1/3, to the nearest integer? 96 What is 1488645 to the power of 1/3, to the nearest integer? 114 What is the cube root of 13086939 to the nearest integer? 236 What is 3669183 to the power of 1/2, to the nearest integer? 1916 What is 150067 to the power of 1/3, to the nearest integer? 53 What is the sixth root of 1659 to the nearest integer? 3 What is the cube root of 5391101 to the nearest integer? 175 What is the eighth root of 6469531 to the nearest integer? 7 What is the cube root of 4659884 to the nearest integer? 167 What is 3978593 to the power of 1/2, to the nearest integer? 1995 What is the fifth root of 211991 to the nearest integer? 12 What is the fifth root of 3586195 to the nearest integer? 20 What is 178396 to the power of 1/2, to the nearest integer? 422 What is 805702 to the power of 1/2, to the nearest integer? 898 What is the tenth root of 1663548 to the nearest integer? 4 What is the tenth root of 317425 to the nearest integer? 4 What is 7945652 to the power of 1/3, to the nearest integer? 200 What is the cube root of 3921833 to the nearest integer? 158 What is the eighth root of 19003523 to the nearest integer? 8 What is the third root of 41926282 to the nearest integer? 347 What is 2174 to the power of 1/3, to the nearest integer? 13 What is 152157 to the power of 1/2, to the nearest integer? 390 What is 1917654 to the power of 1/2, to the nearest integer? 1385 What is the cube root of 11167709 to the nearest integer? 224 What is the square root of 11720440 to the nearest integer? 3424 What is the eighth root of 2641254 to the nearest integer? 6 What is the eighth root of 6460078 to the nearest integer? 7 What is the square root of 9924330 to the nearest integer? 3150 What is the tenth root of 288035 to the nearest integer? 4 What is the seventh root of 2327756 to the nearest integer? 8 What is 975141 to the power of 1/3, to the nearest integer? 99 What is the fourth root of 2683037 to the nearest integer? 40 What is the square root of 748653 to the nearest integer? 865 What is the fourth root of 628998 to the nearest integer? 28 What is 208674 to the power of 1/3, to the nearest integer? 59 What is the eighth root of 305385 to the nearest integer? 5 What is the fifth root of 532293 to the nearest integer? 14 What is the cube root of 1383311 to the nearest integer? 111 What is 151418 to the power of 1/9, to the nearest integer? 4 What is 1157605 to the power of 1/2, to the nearest integer? 1076 What is 161231 to the power of 1/2, to the nearest integer? 402 What is 3090846 to the power of 1/3, to the nearest integer? 146 What is the third root of 947879 to the nearest integer? 98 What is the third root of 9460408 to the nearest integer? 211 What is the seventh root of 36558 to the nearest integer? 4 What is 20589536 to the power of 1/4, to the nearest integer? 67 What is 18386523 to the power of 1/2, to the nearest integer? 4288 What is 265968 to the power of 1/2, to the nearest integer? 516 What is the cube root of 3223458 to the nearest integer? 148 What is 15420035 to the power of 1/3, to the nearest integer? 249 What is the cube root of 3481184 to the nearest integer? 152 What is the cube root of 23520739 to the nearest integer? 287 What is 41391047 to the power of 1/2, to the nearest integer? 6434 What is the cube root of 7829798 to the nearest integer? 199 What is the eighth root of 229238 to the nearest integer? 5 What is 289311 to the power of 1/4, to the nearest integer? 23 What is 1020043 to the power of 1/2, to the nearest integer? 1010 What is 64213 to the power of 1/3, to the nearest integer? 40 What is 356652 to the power of 1/5, to the nearest integer? 13 What is the third root of 6206301 to the nearest integer? 184 What is the square root of 1330399 to the nearest integer? 1153 What is 844475 to the power of 1/2, to the nearest integer? 919 What is the fourth root of 5762983 to the nearest integer? 49 What is 5283635 to the power of 1/6, to the nearest integer? 13 What is 146937 to the power of 1/7, to the nearest integer? 5 What is 55336 to the power of 1/2, to the nearest integer? 235 What is the cube root of 3085876 to the nearest integer? 146 What is 19058496 to the power of 1/8, to the nearest integer? 8 What is 519086 to the power of 1/2, to the nearest integer? 720 What is the ninth root of 1501351 to the nearest integer? 5 What is 210100 to the power of 1/7, to the nearest integer? 6 What is 18617845 to the power of 1/3, to the nearest integer? 265 What is the square root of 9660666 to the nearest integer? 3108 What is the square root of 124498 to the nearest integer? 353 What is 80742 to the power of 1/7, to the nearest integer? 5 What is 483624 to the power of 1/4, to the nearest integer? 26 What is 6596178 to the power of 1/3, to the nearest integer? 188 What is the fourth root of 14151565 to the nearest integer? 61 What is the square root of 20122555 to the nearest integer? 4486 What is the seventh root of 19318089 to the nearest integer? 11 What is the ninth root of 123718 to the nearest integer? 4 What is the ninth root of 1625737 to the nearest integer? 5 What is the tenth root of 192765 to the nearest integer? 3 What is the square root of 4106242 to the nearest integer? 2026 What is the sixth root of 32257 to the nearest integer? 6 What is 11121966 to the power of 1/2, to the nearest integer? 3335 What is 502948 to the power of 1/9, to the nearest integer? 4 What is 1909096 to the power of 1/2, to the nearest integer? 1382 What is the eighth root of 2259177 to the nearest integer? 6 What is 15146937 to the power of 1/10, to the nearest integer? 5 What is the cube root of 81347 to the nearest integer? 43 What is the square root of 687060 to the nearest integer? 829 What is the cube root of 120242 to the nearest integer? 49 What is the third root of 680208 to the nearest integer? 88 What is the seventh root of 19777977 to the nearest integer? 11 What is 23218116 to the power of 1/6, to the nearest integer? 17 What is the eighth root of 1987590 to the nearest integer? 6 What is 8523585 to the power of 1/5, to the nearest integer? 24 What is 2723884 to the power of 1/4, to the nearest integer? 41 What is the square root of 6178433 to the nearest integer? 2486 What is 13001 to the power of 1/6, to the nearest integer? 5 What is the cube root of 172340 to the nearest integer? 56 What is 18
{ "pile_set_name": "DM Mathematics" }
3 - q**2 - 5*q - 4. Let t be l(-1). Round t to the nearest 1000000. -19000000 Let n = -11.30871 - -60.30801. Let t = 49 - n. Round t to four dps. 0.0007 Let w(m) = 11890*m**3 + 10509*m**3 - 5 + 4*m**2 + 6*m + 0*m**2. Let x be w(5). Round x to the nearest 1000000. 3000000 Let w(v) = 29299999*v**3 - 12*v**2 + 13*v. Let a be w(1). What is a rounded to the nearest 1000000? 29000000 Let d = 230 - 209.8. Round d to zero decimal places. 20 Let p = -12 - -11.62. Let g = p - -0.38017. Round g to 4 decimal places. 0.0002 Let d = -0.071 - -14.271. Let k = -13 + d. Let g = -1.1999938 + k. What is g rounded to six dps? 0.000006 Suppose -3*q - 2*x = -270834, -3*x - 13 = -4. What is q rounded to the nearest 10000? 90000 Let m = 10356.2041 + -10355. What is m rounded to one decimal place? 1.2 Let z be (3 - -2)/(-20) + 1203999/(-4). Round z to the nearest ten thousand. -300000 Let r = -89 - -87. Let o be 24/(2/1)*(-78)/r. Round o to the nearest ten. 470 Let h = 21 - 21.015. Let q = 0.0091 + h. What is q rounded to three decimal places? -0.006 Let g = -1284 - -2330. Round g to the nearest one hundred. 1000 Let p(i) be the third derivative of 2700001*i**4/12 - 2*i**3/3 + 2*i**2. Let n be p(2). Round n to the nearest 1000000. 11000000 Let b(f) = -1200001*f**2 + 2*f + 3. Let n(p) = -2*p. Let g(w) = -w - 1. Let u(j) = 3*g(j) - n(j). Let z be u(-6). Let k be b(z). Round k to the nearest 1000000. -11000000 Let j = -12.8 + 13.0565. What is j rounded to 2 decimal places? 0.26 Let v = 137.2 + -137.17643. Round v to 3 decimal places. 0.024 Let s(i) = -150*i**2 - 68*i + 142. Let y be s(19). Round y to the nearest 1000. -55000 Let p(y) = -y + 6. Let l be p(6). Suppose l*b = -3*b. Suppose b = 5*a + 2076 - 326. Round a to the nearest one hundred. -400 Let o(r) = 2624*r - 7. Let b be o(-8). Suppose -4 = 4*j - 6*j. Let v be b/3 - j/6. What is v rounded to the nearest one thousand? -7000 Let q = -1.5 - -0.7. Let c = -0.87 - q. Round c to 1 dp. -0.1 Let j = -274.000001369 - -274. What is j rounded to six dps? -0.000001 Let y be (-2037840224)/(-168) - 4/3. What is y rounded to the nearest 100000? 12100000 Let q = -60 - -64. Suppose w = -y + 5*w - 58, q*y + w = -181. What is y rounded to the nearest 10? -50 Let f = -92.4784 - -92.2. Round f to two decimal places. -0.28 Let o = -0.079 + -72.921. Let t = o - -73.039. What is t rounded to two dps? 0.04 Suppose 37*w + 408649879 = 97109879. Round w to the nearest one million. -8000000 Let m = -835 + 835.00003528. What is m rounded to 6 dps? 0.000035 Let i = 872 - 871.99999933. Round i to seven decimal places. 0.0000007 Let w = 24 + -37. Let s = -1013726.999995 - -1013740. Let z = s + w. What is z rounded to six dps? 0.000005 Let i = -0.14 + 1.84. Let s = i - 1.69994. Round s to four decimal places. 0.0001 Let t = 533576 + 135424. What is t rounded to the nearest one hundred thousand? 700000 Let h = -7 - -10. Suppose -4*b = -3*y + 10, h*y - 5*b = -0*y + 8. Suppose -m + y*m + 2200000 = 0. What is m rounded to the nearest 100000? -400000 Suppose 2*f = p + 11584, 17377 = 3*f - 6*p + 5*p. What is f rounded to the nearest 1000? 6000 Suppose -8*t + 42 = -5*t. Suppose 2*j = -t + 18. Suppose -4*z = 0, j*p + z = -0*z - 35400. What is p rounded to the nearest one thousand? -18000 Suppose 20 = -4*m, -3*f + 2*m + 216 = -307. Round f to the nearest ten. 170 Let j(o) = -2*o - 9. Let p be j(-6). Suppose -600 = -0*r + p*r. What is r rounded to the nearest 10000? 0 Suppose u + 5816429 = -4*l, -3*u - 5886671 = 4*l - 70232. Let f = 1031061 - 176955. Let y = f + l. Round y to the nearest one million. -1000000 Let o = 1224 + -1224.0000081. What is o rounded to 6 dps? -0.000008 Let w = 36 - 34. Suppose 4*g - 663990 = -2*v, 6*g - w*g - v = 664005. Round g to the nearest ten thousand. 170000 Suppose -85847 - 70153 = 6*a. Round a to the nearest one thousand. -26000 Let c = 39 + -101.8. Let j = c - -62.79999589. What is j rounded to 7 decimal places? -0.0000041 Let v = -665989 + 1096004. Suppose 2*i = -0*i + 10, v = 2*c + 3*i. Round c to the nearest 10000. 220000 Let y(i) be the first derivative of -8 - i**3 + 10*i + 7*i**2 - 5/4*i**4. Let u be y(-15). Round u to the nearest ten thousand. 20000 Let b = -0.0914 + 1557.0914. Let x = -1557.697 + b. Round x to two decimal places. -0.7 Let v = -261209.9992 + 261339. Let q = v - 129. What is q rounded to 3 dps? 0.001 Let v = 3 + 1. Suppose -3*f - v*c - 3394 = 0, c + 3392 = -3*f - c. What is f rounded to the nearest one hundred? -1100 Let s = 5492.2995 - 5495. Round s to two decimal places. -2.7 Let n = 14768.9000555 - 14769. Let q = -0.1 - n. Round q to six dps. -0.000056 Let j = -28 + 26.9. Let p = -404472 + 404473.100005. Let u = j + p. Round u to 5 dps. 0.00001 Suppose -3*s + 49685669 = -26274286. Suppose -3*m + 5*c - 25319975 = -0*m, 0 = -3*m + 3*c - s. Round m to the nearest one million. -8000000 Let v = -29704566 - -29704563.00000048. Let d = -0.1 - 2.9. Let a = d - v. Round a to 7 decimal places. -0.0000005 Let y = 24.69645 - 24.7.
{ "pile_set_name": "DM Mathematics" }
6 Factor 2*o**2 - 70*o - 5027008. 2*(o - 1603)*(o + 1568) Factor a**2 - 273*a - 17278. (a - 326)*(a + 53) Find t, given that -2*t**4/5 - 21126*t**3/5 - 55353036*t**2/5 + 2303464504*t/5 - 4385347824/5 = 0. -5302, 2, 39 Determine g so that 2*g**5 + 726*g**4 - 9088*g**3 - 32040*g**2 + 363200*g + 1200000 = 0. -375, -4, 10 Determine g so that -2*g**3/5 + 3975972*g**2/5 + 500996286*g/5 + 15781633056/5 = 0. -63, 1988112 Solve -2*l**2 + 320844*l - 7057600 = 0. 22, 160400 Factor j**3 - 1116054*j**2 + 311396364825*j - 1245567602500. (j - 558025)**2*(j - 4) Find i such that -2*i**3 + 36558*i**2 - 12338590*i - 12375150 = 0. -1, 345, 17935 Let -4*a**4 + 26016*a**3 - 41962392*a**2 - 1104667040*a - 6524057700 = 0. What is a? -17, -9, 3265 What is m in 2*m**5/23 - 284*m**4/23 - 85866*m**3/23 + 260108*m**2/23 - 1112*m/23 - 346800/23 = 0? -150, -1, 2, 289 Factor -87818*l**2/13 + 614728*l/13 - 14/13. -2*(l - 7)*(43909*l - 1)/13 Factor j**2 - 925852*j - 5555148. (j - 925858)*(j + 6) Solve 764*p**2 - 3197348*p + 33480 = 0 for p. 2/191, 4185 Factor o**2/4 + 16617*o/4 - 266896. (o - 64)*(o + 16681)/4 Find i such that -2*i**3 - 42238*i**2 - 211140*i = 0. -21114, -5, 0 Find f such that 295152*f**4 + 699324*f**3 + 577341*f**2 + 735885*f/4 + 29727/2 = 0. -3/4, -734/6149 Let 25*x**3 + 3455*x**2 - 252120*x = 0. What is x? -191, 0, 264/5 Factor -3*g**2 + 7019763*g - 7019760. -3*(g - 2339920)*(g - 1) Solve 3*a**2 + 9732*a - 2452695 = 0. -3479, 235 Suppose 6*o**3 - 2830365*o**2/2 + 83447385948*o + 20861934936 = 0. What is o? -1/4, 117932 Factor 3*o**4 - 30588*o**3 + 112232604*o**2 - 174676811616*o + 97833953518272. 3*(o - 3436)**2*(o - 1662)**2 Let -14*x**5/3 + 740*x**4/3 + 2734*x**3/3 - 4908*x**2 - 7824*x + 24192 = 0. What is x? -36/7, -3, 2, 3, 56 Factor -2*c**3 + 18010*c**2 + 12923128*c. -2*c*(c - 9673)*(c + 668) Find c such that -423*c**3/5 + 46704*c**2/5 - 341184*c + 4116480 = 0. 4288/141, 40 Suppose -h**5/3 - 124*h**4/3 + 2886*h**3 + 683100*h**2 + 36512109*h + 630737280 = 0. Calculate h. -69, -45, 128 Factor -4*d**3 + 347236*d**2 - 1041680*d + 694448. -4*(d - 86806)*(d - 2)*(d - 1) Let -162184488578*a**2 + 686858004*a - 727218 = 0. What is a? 603/284767 Let -h**3/2 + 149289*h**2/2 + 8064577*h/2 - 8213865/2 = 0. Calculate h. -55, 1, 149343 Find f, given that 948*f**3 + 354556*f**2 + 1750556*f + 7380 = 0. -369, -5, -1/237 Suppose -12*o**5 + 18598*o**4 + 1960134*o**3 + 38597790*o**2 - 616452650*o - 768652500 = 0. What is o? -55, -7/6, 11, 1650 Solve 2*n**5/5 - 727708*n**4/5 - 3202046*n**3 - 114256272*n**2/5 - 288189144*n/5 - 235791648/5 = 0 for n. -9, -2, 363876 Determine g, given that -g**2 - 6427165*g - 32135800 = 0. -6427160, -5 Suppose 4396*v**2 - 31404*v/7 + 632/7 = 0. What is v? 158/7693, 1 Factor 2*s**2 + 58742968*s. 2*s*(s + 29371484) Solve -2*v**2/9 + 5538380*v/9 - 27691750/3 = 0. 15, 2769175 Solve -n**3/4 - 5285*n**2/4 - 159252*n + 4911035679 = 0. -3462, 1639 Factor 3*f**3 - 72*f**2 - 70383*f - 2300508. 3*(f - 179)*(f + 36)*(f + 119) Let -73371*g**2 - 8731143*g + 714 = 0. What is g? -119, 2/24457 Solve -2*w**4 - 692*w**3 - 76008*w**2 - 2780172*w - 7674966 = 0 for w. -169, -87, -3 Let -j**4 - 298*j**3 - 14661*j**2 - 91208*j - 126140 = 0. Calculate j. -238, -53, -5, -2 Suppose 2*c**4/5 + 361709572*c**3/5 + 21805635625500672*c**2/5 + 438183717290635542183932*c/5 - 438183739096271529394178/5 = 0. Calculate c. -60284929, 1 What is r in -365*r**3 + 21180*r**2 + 431580*r - 11840 = 0? -16, 2/73, 74 Solve -3*s**2 + 7366482*s - 4522088088027 = 0 for s. 1227747 Suppose 3*z**3 + 83049*z**2 + 830157*z - 913209 = 0. Calculate z. -27673, -11, 1 Factor -4*l**3/5 - 19004*l**2/5 - 2795168*l/5 + 54800579648/5. -4*(l - 1433)*(l + 3092)**2/5 Find w, given that 3*w**3/5 + 34964841*w**2/5 + 69929673*w/5 + 6992967 = 0. -11654945, -1 Determine s so that -s**2/2 + 2754760*s - 3794351328800 = 0. 2754760 Determine t, given that 16*t**4 + 1002*t**3 + 11732*t**2 - 25128*t - 89424 = 0. -46, -18, -2, 27/8 Factor -3*
{ "pile_set_name": "DM Mathematics" }
n - 1)**2*(3*n + 2) Suppose -6 = -4*b + 3*b. Let m(r) = r - 6. Let y be m(b). Factor y*q - 2/3*q**5 + 0 + 0*q**2 + 4/3*q**4 - 2/3*q**3. -2*q**3*(q - 1)**2/3 Factor 6/7*g**2 + 2/7*g + 6/7*g**3 + 2/7*g**4 + 0. 2*g*(g + 1)**3/7 Let w = -1472 - -1472. Solve -1/2*b**2 - 3/2*b + w = 0 for b. -3, 0 Let s = -2081/5 + 419. Let n be (8/(-20))/(1/(-10)). Suppose -28/5*a**2 - 8/5*a**3 + s*a**5 + 24/5*a**n - 6/5*a + 4/5 = 0. Calculate a. -1, 2/7, 1 Solve -108/5*o - 54/5 - 72/5*o**2 - 16/5*o**3 = 0. -3/2 Let y(l) be the second derivative of -l**5/120 - l**4/18 - l**3/12 - 36*l. Factor y(g). -g*(g + 1)*(g + 3)/6 Let z(a) be the second derivative of a**4/6 - 2*a**3/3 + a**2 - 2*a. Factor z(o). 2*(o - 1)**2 What is j in 18/19*j**2 - 4/19*j + 0 = 0? 0, 2/9 Let 10/3*p**2 - 2/3*p**4 + 0 - 2/3*p**3 - 2*p = 0. Calculate p. -3, 0, 1 Let x be ((-9)/(-18))/(21/12). Factor x*p**2 - 4/7*p**3 + 2/7*p**4 + 0*p + 0. 2*p**2*(p - 1)**2/7 Factor -2/5*z**4 + 0*z + 0 - z**3 + 3/5*z**2. -z**2*(z + 3)*(2*z - 1)/5 Suppose -4 = 5*k - 3*i - 14, -i = k - 2. Solve -16*b**4 + 8*b**2 + 4*b**k - 6*b**3 + 3 + 0*b**5 + 12*b + b**4 - 6*b**5 = 0 for b. -1, -1/2, 1 Let c = -4 - -12. Let a = 1 + 8. Let -1 - a*v**2 + v - 2 + 3*v**3 + c*v = 0. What is v? 1 Suppose 5*s = 3*l - 6*l, -4*l - 14 = 2*s. Suppose -3 - 3 = -s*c. Factor -c*y - 2/3*y**2 - 4/3. -2*(y + 1)*(y + 2)/3 Let u = 139 + -134. Let n(s) be the third derivative of 0*s + 0 + 1/15*s**3 - 3*s**2 + 1/75*s**u - 1/24*s**4 - 1/600*s**6. Find x such that n(x) = 0. 1, 2 Let j(w) be the first derivative of 1/18*w**3 - 1/3*w - 1/12*w**2 + 1. Factor j(u). (u - 2)*(u + 1)/6 Let x = 9 - 21. Let j be 0 - 1 - 15/x. Factor -1/4*d - j*d**5 - 3/2*d**3 + d**4 + 0 + d**2. -d*(d - 1)**4/4 Let s(g) be the second derivative of -g**6/15 + g**5/10 + g**4/2 - 5*g**3/3 + 2*g**2 - 19*g. Determine o so that s(o) = 0. -2, 1 Suppose -4 = -2*x + 2*y - 0*y, x + 4*y = 17. What is u in 18/7*u**x + 44/7*u**3 + 48/7*u**4 + 16/7*u**2 + 0 + 2/7*u = 0? -1, -1/3, 0 Let s(d) be the second derivative of -d**5/60 + d**4/12 - 8*d. Factor s(u). -u**2*(u - 3)/3 Suppose -3*g + 12 = g. Factor -10*z**3 - 2*z**2 + 3*z**2 + 0*z**2 + 9*z**g. -z**2*(z - 1) Factor -1/9*c**2 - 1/3*c**4 + 0 + 0*c + 1/3*c**3 + 1/9*c**5. c**2*(c - 1)**3/9 Let r(z) = -8*z**3 + 28*z**2 - 40*z + 17. Let b(j) = 55*j**3 - 195*j**2 + 280*j - 120. Let v(s) = -3*b(s) - 20*r(s). Determine h, given that v(h) = 0. 1, 2 Let i(f) be the third derivative of 0 + 0*f - 8*f**2 - 1/20*f**4 - 1/100*f**5 + 1/100*f**6 + 1/350*f**7 + 0*f**3. Factor i(p). 3*p*(p - 1)*(p + 1)*(p + 2)/5 Let r = -31 - -33. Factor 3/4 - 3/4*z**4 + 0*z**r + 3/2*z - 3/2*z**3. -3*(z - 1)*(z + 1)**3/4 Determine l so that -15*l**4 - 10*l - 22*l**2 + 11*l**2 + 20*l**3 + 16*l**2 = 0. -2/3, 0, 1 Let s(b) be the second derivative of b**5/20 - b**4/6 - 2*b**3/3 + 4*b**2 - 24*b. Find u such that s(u) = 0. -2, 2 Let a(i) = 61*i**3 - i**2 - 43*i + 19. Suppose -12 = f - 3*s, 2*s = -0*s + 4. Let u(q) = 31*q**3 - q**2 - 22*q + 10. Let w(r) = f*a(r) + 11*u(r). Factor w(j). -(j + 1)*(5*j - 2)**2 Find j such that 4/3*j**5 - 16/3 - 4/3*j**3 - 16*j + 4*j**4 - 44/3*j**2 = 0. -2, -1, 2 Suppose 0 = -2*y + 2*u, 3*y + 0*y + 4*u - 21 = 0. What is k in k + 3*k**y + k**5 - k - 4*k**3 = 0? -1, 0, 1 Let i(m) = m - 4. Let g be i(11). Factor 2 + 27*j - 1 + g + 338*j**2 + 77*j. 2*(13*j + 2)**2 Let l(a) be the second derivative of a**7/5040 + a**4/3 + 11*a. Let p(j) be the third derivative of l(j). Factor p(r). r**2/2 Factor -1/8*g**2 - 1/8 + 1/4*g. -(g - 1)**2/8 Let f(h) be the first derivative of -h**6/39 - 2*h**5/65 + 4. Factor f(j). -2*j**4*(j + 1)/13 Let g(y) be the second derivative of y**5/10 + y**4/3 - 4*y**3/3 - 8*y**2 + 10*y. Factor g(q). 2*(q - 2)*(q + 2)**2 Let
{ "pile_set_name": "DM Mathematics" }
What is the nearest to 0.1 in 2/9, -3/5, -7, 11/2, 4? 2/9 Which is the nearest to 1/3? (a) -3 (b) 10.6 (c) 3/4 (d) 2.4 c Which is the closest to -3? (a) -178 (b) 0.2 (c) 315 b What is the closest to 3 in -0.3, -0.26, 0.1, 4.3? 4.3 What is the closest to 2 in 27, 1, -15, 2? 2 Which is the closest to -27? (a) -4/41 (b) 0.1 (c) 1/6 a What is the closest to 2/5 in 5, 1/920, -2/13? 1/920 What is the closest to -5 in 5/4, -3/7, -3/2? -3/2 What is the nearest to 0.6 in -5, -43, 2.3? 2.3 Which is the closest to -887? (a) 4 (b) 6 (c) 13/3 a Which is the closest to -1? (a) 4 (b) 3 (c) -450 b Which is the nearest to -1/9? (a) 2 (b) 4 (c) 28 (d) -2/7 d What is the nearest to 1/4 in -3/5, -4, 25.5, -2/3? -3/5 What is the nearest to 0.2 in -4/7, -1854, -0.8, -4? -4/7 What is the closest to -4 in -3, -317, -0.2, -0.5, 2/13? -3 What is the closest to -0.017364 in 5, -2/3, 3? -2/3 Which is the closest to 0.1? (a) -77 (b) 0 (c) 1 (d) -8 b Which is the nearest to 2/7? (a) -0.3 (b) 81 (c) -152 (d) -5 (e) 0 e What is the nearest to -1 in 0.5, -0.04, -280? -0.04 What is the closest to 1760 in 2/5, 1, 2.5, -1/2? 2.5 Which is the nearest to 0.3? (a) -1 (b) -1/32 (c) 2/3 (d) 0.6 (e) 0.2 e Which is the closest to 0.1? (a) 0.5 (b) 1 (c) 84 (d) -6 (e) -1.1 a What is the nearest to 0 in 0, -2.14, -4? 0 What is the nearest to -1.1 in 0.5, -1/330, -3, -0.4? -0.4 Which is the closest to -2/7? (a) 4 (b) -7745 (c) -5 (d) 1/7 d What is the nearest to 0.2 in -1, 0.2, -0.62? 0.2 Which is the closest to 2? (a) 1/11 (b) -0.5 (c) 1/27 (d) -56/11 (e) 13 a What is the nearest to 1 in 111.2, 1/10, 0.4? 0.4 Which is the nearest to 1.87? (a) -5/4 (b) -1/4 (c) -1/17 c Which is the nearest to 78? (a) -1 (b) 2.2 (c) 0.5 b Which is the closest to 6/5? (a) -274/13 (b) 11 (c) -0.2 (d) -1/2 c What is the closest to -1/2 in -43, -0.4, -187? -0.4 What is the closest to 0.09 in -2/113, 0.5, 8, -0.2? -2/113 What is the closest to 2 in -15/8, -2, 4? 4 Which is the nearest to -1/2? (a) 16 (b) 0.5 (c) 1 b Which is the closest to 1? (a) 4/7 (b) 0.2 (c) -3 (d) 0 (e) -227 a Which is the closest to -2/5? (a) 12 (b) -1 (c) 2/61 (d) 61/2 c What is the closest to -81 in 0.1, -17, -6, -0.3, -2/11? -17 Which is the nearest to 0.1? (a) 3 (b) -27 (c) 128 a What is the closest to 0.08 in 0.3, -1.07, -2/21? -2/21 What is the closest to -0.1 in -0.5, -0.56, -3, 4, -2/3? -0.5 Which is the closest to -0.2? (a) -0.5 (b) -39530 (c) -1/5 c What is the closest to -0.06 in -1/3, 5, -149? -1/3 What is the nearest to 7/5 in 0.27, 6/5, -7? 6/5 What is the closest to -1 in -6, 0, 0.001, -3/4? -3/4 Which is the closest to -0.4? (a) -2 (b) -0.4 (c) 1620 b Which is the closest to -2? (a) -229 (b) 1 (c) -0.034 (d) 0.08 c Which is the nearest to 0? (a) -5.61 (b) -2 (c) 55 b Which is the closest to -20.4? (a) 0.19 (b) 1/4 (c) -0.5 (d) 4 (e) -3 e What is the closest to 3/8 in 15/8, 5, 1/3? 1/3 Which is the closest to -3/2? (a) -0.01 (b) 12 (c) -3 (d) -5 (e) -54 a What is the nearest to -4 in 0.4, 16, -5, -1? -5 Which is the closest to 1/6? (a) -37 (b) 0 (c) 0.1 c What is the closest to -0.1 in 14, -17/5, 18? -17/5 What is the nearest to 101 in 3, 0.2, -628/3? 3 Which is the nearest to -2? (a) -114 (b) -2 (c) 2/13 (d) 2.5 b Which is the closest to -4/5? (a) -2 (b) 1 (c) -0.5 (d) -0.1 (e) 215 c What is the closest to 10 in -0.11, 26.8, 0, -0.2? 0 Which is the nearest to -0.1? (a) -17 (b) 3.5 (c) 7/20 c What is the nearest to 2/9 in -1, -5, -11, -10? -1 What is the closest to -64/3 in -2/3, 4, -2/7, -0.2? -2/3 Which is the closest to 1380? (a) 0.4 (b) 2 (c) 2/27 (d) 2/11 (e) -4 b What is the closest to -0.7098 in -0.4, 5, -0.2? -0.4 What is the nearest to -2/3 in 1/28, 0.38, 0.5? 1/28 Which is the closest to -2/111? (a) -0.5 (b) 0
{ "pile_set_name": "DM Mathematics" }
ng order. -4, u, k Let f(o) = o**3 - 10*o**2 + 8*o + 4. Let m be f(9). Let j = m + 8. Suppose h - 5 = 0, 5*c - 9 - 1 = j*h. Sort 2, 0, c in decreasing order. c, 2, 0 Suppose -17 = 5*c - u + 13, -3*u = -4*c - 35. Let d = -3 + 23. Let x be (2/(-5))/(4/d). Sort c, x, 2 in descending order. 2, x, c Let l be -2 - (2/(-3))/(6/(-27)). Let s be 7/(-39) - (-1)/3. Sort l, -0.1, s in descending order. s, -0.1, l Let n(u) = 3 + 4*u + 2 - 3*u + 0*u**2 - 10*u**2 - u**3. Let q be n(-10). Put -2, -1/4, q in descending order. -1/4, -2, q Suppose 0 = 4*q - 0*q + 4. Let r be -1 - (-1 + 2)*q. Put r, -3, -6 in increasing order. -6, -3, r Let t = 160 - 145.2. Let i = t - 15. Let g = 1 - -2. Sort i, -0.4, g. -0.4, i, g Let y be (-3)/(0 + 0 + 12/12). Sort y, -4, 2 in ascending order. -4, y, 2 Let a(q) = q**3 + 5*q**2 - 4*q + 13. Let n be a(-6). Put -4, 4, n in decreasing order. 4, n, -4 Suppose -5*x = 0, -3*f + 7 = -2*x - 2. Let h be (5/f)/(4/(-6)). Put h, 3, -1/3 in increasing order. h, -1/3, 3 Let n = 32 - 28. Suppose 2*b = -3*b. Suppose j - 2 = -2*s, -3*s - 2*j - j + 3 = 0. Put b, n, s in descending order. n, s, b Let o(m) = 2*m - 30. Let b be o(15). Put b, -7, -4, -2 in descending order. b, -2, -4, -7 Let o = 140 + -148. Put o, 1, -4 in descending order. 1, -4, o Let o = -3 + 15. Let k = -11.6 + o. Put -0.2, -2, k in decreasing order. k, -0.2, -2 Suppose 4 = 2*z + 2*c, -2*z = 2*c - c - 4. Put z, -4, 11, -1 in descending order. 11, z, -1, -4 Let o = -9.902 - 0.098. Put o, -4, 3 in ascending order. o, -4, 3 Let h be (2/(-10))/(9/15). Let s = 0.04 + -2.04. Sort h, s, 2 in decreasing order. 2, h, s Let m be (-2 - -2)/(-2 - -4). Suppose -2*w = -m*w - 10, -w = s. Sort s, 0, -4 in ascending order. s, -4, 0 Let v = 1.1 + -0.1. Let h = 9.5 - 9. Let k = -0.3 + -0.2. Sort k, h, v in increasing order. k, h, v Let h = -0.087 + 0.087. Sort h, 5, 4. h, 4, 5 Let j be ((-8 - -4) + 3)/(-1). Let m be j/6*-14 - -3. Put -6, m, 1/3 in decreasing order. m, 1/3, -6 Let q(p) = -p + 7. Let y be q(7). Let t = 8 + -6. Sort y, t, 5. y, t, 5 Let j be 3*-1*1/1. Let l be (-3)/j + 12/3. Let c be (1 + 1)*l/(-55). Sort -2, 1, c. -2, c, 1 Let u be (-312)/(-420) - 3/5. Let n be (-2)/(-8)*(-4)/3. Put 2/7, u, n in descending order. 2/7, u, n Let a = 4.1489 - 0.0019. Let q = a - 0.047. Let c = q - 0.1. Sort -6/11, c, -4. -4, -6/11, c Let n = -2060903/11 - -187499. Let k = 144 - n. Sort -0.3, 0, k in increasing order. -0.3, k, 0 Let t be (-2*1)/((-3)/(-3)). Let b be ((-12)/30)/(t/(-20)). Put -5, -2, b in descending order. -2, b, -5 Suppose -4*m - 6 = 2*c, 2*c + 2*m - 3 = 3*c. Let g = -1/41 - -85/123. Let n = 6 + -2. Put c, g, n in decreasing order. n, g, c Suppose 4 = 4*a - 5*a. Put 5, a, 2, 1 in descending order. 5, 2, 1, a Let g = -2.6 + 1.3. Let s = -1.7 + g. Put s, -1, -0.3 in descending order. -0.3, -1, s Let r = -14 + 19. Let x be (-16)/(-7) - (-4)/(-14). Let j be (x/5)/(18/(-10)). Put j, -2, r in increasing order. -2, j, r Let y = 20 + -20. Put 11, -4, y in decreasing order. 11, y, -4 Suppose 1 = -k - 0*k - 3*y, 4*k + y = 29. Let r(g) = -g + g - 3*g + k + g. Let n be r(6). Sort -0.4, 2/7, n in descending order. 2/7, -0.4, n Let o = 6 + -5.4. Let w = 0.4 + o. Let y = -4 + 8. Sort 0, y, w in increasing order. 0, w, y Let c = 0.36 - 0.06. Let y = 0.6 - 0.1. Let v = 0.9 - y. Sort c, -1/3, v in ascending order. -1/3, c, v Let f(v) = v**2 - v + 4. Let k be f(0). Let n be (-2 - (-10)/k)/(-1). Put 1/6, n, -1 in descending order. 1/6, n, -1 Let l = -9 - -9. Sort l, 2/7, -5. -5, l, 2/7 Let u = -5 + 19. Let f = -12 + u. Sort f, -0.3, -3/7 in descending order. f, -0.3, -3/7 Let j = -0.07 + 1.07. Put -5, 0, j, -2/25 in decreasing order. j, 0, -2/25, -5 Let h be (-15)/6*113/(-20). Let x = -14 + h. Sort -2/5, 3, x in ascending order. -2/5, x, 3 Suppose -11 = 7*f + 17. Put 1, f, -3 in descending order. 1, -3, f Let d be (-1 - 14/10) + (-63)/105. Let h be ((-2)/2)/(-1 - -2). Sort d, h, 1. d, h, 1 Let y = 3 + -2.7. Let t = y + 0.1. Let b = 17 - 17.4. Put -4, b, t in increasing order. -4, b, t Let n(p) = -p - 1. Let k be n(7). Let g = -10 - k. Sort 1, -4, g. -4, g, 1 Let i = -0.8 - -0.4. Let r be -6 - (-4 - -1) - -7. Sort 0.6,
{ "pile_set_name": "DM Mathematics" }
+ 2*c + 3. Let l(j) = n*b(j) + 6*z(j). Find the second derivative of l(g) wrt g. 12*g Let d(y) = y**4 + y**3 - 2*y**2. Let h(l) = -l**3 + l**2. Let z(j) = d(j) + h(j). What is the third derivative of z(s) wrt s? 24*s Let q(a) be the first derivative of -4*a + 17*a - 7 + a**2 - 4*a - 5*a. Differentiate q(o) with respect to o. 2 What is the second derivative of -14*s**3 - s + 17*s**3 + 0*s wrt s? 18*s Let a(j) = -4*j - 9. Let b(u) = -2*u - 4. Let g(c) = c**3 - 4*c**2 - 5*c + 5. Let h be g(5). Let i(y) = h*b(y) - 2*a(y). Differentiate i(s) wrt s. -2 Let i = -1 - 1. Let z(y) = 3*y**2 + y. Let l(s) = -6*s - 3 + 5*s + 3. Let m(v) = i*l(v) + z(v). Find the second derivative of m(d) wrt d. 6 Let l(m) be the third derivative of -m**6/15 - m**4/12 + 5*m**2. Find the second derivative of l(q) wrt q. -48*q Let m(a) = 15*a**6 + 15*a**4 + 15*a**3 + 5*a**2 + 15*a + 15. Let q(y) = y**4 + y**3 + y + 1. Let k(s) = m(s) - 15*q(s). Find the third derivative of k(d) wrt d. 1800*d**3 Let v(f) be the third derivative of 5/24*f**4 - 1/40*f**6 + 0*f + 0 + 2*f**2 + 0*f**3 + 0*f**5. Find the second derivative of v(q) wrt q. -18*q Let v(y) be the third derivative of -17*y**9/504 - 23*y**5/30 + 46*y**2. Find the third derivative of v(p) wrt p. -2040*p**3 Find the second derivative of 2*d**4 - d - 6*d + 8*d**4 wrt d. 120*d**2 Let y = 0 - 3. Let z = 13 + y. What is the third derivative of 2*h**2 - 3*h**4 + z*h - 10*h wrt h? -72*h Let k(b) be the second derivative of b**5/20 - 13*b**3/3 + 10*b. Find the second derivative of k(v) wrt v. 6*v Let p(f) = -5*f**2 + f**3 + 11*f - 4*f**2 + f + 0*f**3. Let s(x) = 2*x**2 - 3*x. Let v(b) = 2*p(b) + 9*s(b). What is the second derivative of v(z) wrt z? 12*z Let y(v) be the second derivative of -2*v**4/3 + 4*v**3/3 + 22*v. Find the second derivative of y(j) wrt j. -16 What is the second derivative of -25*f**2 - 18*f**2 + 108*f - 84*f wrt f? -86 Let j(q) = q**3 + 8*q**2 - q - 5. Let l be j(-8). What is the derivative of -3*i**2 - 5 + 2 - i**3 + l*i**2 wrt i? -3*i**2 Let b(q) = -4. Let o(t) = 3 - 5 + t - 2. Let h(z) = 4*b(z) - 3*o(z). Find the first derivative of h(f) wrt f. -3 Find the third derivative of 8 - 2 + 42*l**3 + 2 - 2*l**2 - 2 wrt l. 252 Find the second derivative of 3*x**5 + 0*x**5 + 8*x**5 - x**5 - 6*x wrt x. 200*x**3 Differentiate 2 - 6*x**2 - 4 + 7 + 8 with respect to x. -12*x Let d(x) = x**2 - 4*x. Let z be d(3). Let k be (8/6)/((-2)/z). What is the third derivative of -4*i**2 + 3*i**2 + 3*i**k - 2*i**3 wrt i? -12 Differentiate 200*i**2 - 199*i**2 + 3*i**4 + 3*i**4 - 22 + 6*i**4 wrt i. 48*i**3 + 2*i Let m(s) be the third derivative of s**7/42 - s**3/6 + 6*s**2. Differentiate m(b) with respect to b. 20*b**3 Let b(f) be the third derivative of -47*f**8/336 - 9*f**5/10 + f**2 + 26. What is the third derivative of b(g) wrt g? -2820*g**2 Let t(a) = 7*a**2 + 3*a - 4. Let u(p) = -7*p**2 - 2*p + 3. Let d(k) = 2*t(k) + 3*u(k). What is the derivative of d(r) wrt r? -14*r Let c(o) be the first derivative of 5*o**6/6 - o**3 - 1. Find the third derivative of c(a) wrt a. 300*a**2 Let q(o) be the second derivative of 1/2*o**2 + 0*o**3 + 1/6*o**4 + 4*o + 0. Differentiate q(s) wrt s. 4*s Let s(i) be the first derivative of 3*i**4/4 - 5*i**2/2 - 8. What is the second derivative of s(g) wrt g? 18*g What is the second derivative of 4*z - 4*z + 5*z + 9*z**4 + 9*z**4 wrt z? 216*z**2 Let j(z) be the third derivative of -z**6/360 - z**5/120 - z**4/8 - 3*z**2. Let x(c) be the second derivative of j(c). What is the derivative of x(s) wrt s? -2 Let p(n) be the first derivative of 0*n**6 + 0*n - 5/7*n**7 + 0*n**5 + 6 + 0*n**4 + 0*n**2 - 1/3*n**3. What is the third derivative of p(i) wrt i? -600*i**3 What is the third derivative of 2*r**2 + 0*r**2 + 2*r**5 + 3*r**2 - r**2 wrt r? 120*r**2 Let t(q) = -2*q**3 + 13*q**2 + 45*q - 13. Let j(y) = -y**3 + 6*y**2 + 23*y - 6. Let d(c) = -13*j(c) + 6*t(c). Find the second derivative of d(x) wrt x. 6*x What is the second derivative of 45*d - 6*d**3 - 10*d**3 - 53*d - 4*d**3 wrt d? -120*d Let b(q) be the first derivative of -57*q**5/5 - q**2/2 - 11*q - 11. Differentiate b(d) with respect to d. -228*d**3 - 1 Let t(j) be the first derivative of j**6/10 + j**3/6 + 2*j - 3. Let o(a) be the first derivative of t(a). Find the second derivative of o(u) wrt u. 36*u**2 Let w(h) = -16*h - 1. Let f be w(-1). Find the second derivative of -l**4 - 15*l**3 + 4*l + f
{ "pile_set_name": "DM Mathematics" }
(-4). Let r be 1 + 0 + 6499 + m. Round r to the nearest one thousand. 7000 Let h = 1.4 - 0.4. Let m = h + -0.29. Let o = 0.767 - m. Round o to two decimal places. 0.06 Let v(j) = 24*j**2 + j - 7. Let p(b) = 23*b**2 - 6. Let o(i) = 4*p(i) - 3*v(i). Let h be o(-2). Round h to the nearest 10. 80 Let d = 0 + -3. Let r be (0 + 19750/d)*-12. What is r rounded to the nearest 10000? 80000 Let l = -123 - -124.73. What is l rounded to one dp? 1.7 Let c = 1.61 + 0.13. Round c to the nearest integer. 2 Let a = -0.03 + 4.83. Let b = -5 + a. Let l = b - -1.4. Round l to 1 dp. 1.2 Let r = -0.55 - -7.65. What is r rounded to the nearest 10? 10 Let b = 49.5 - 38. Let d = 11.5000098 - b. What is d rounded to six dps? 0.00001 Suppose 5*y = -f + 13, 0 = -f + 2*f - 3*y + 3. Let m be (-744)/(-10) - (-9)/15. Let p be 60000/((f/m)/1). What is p rounded to the nearest 1000000? 2000000 Let z(o) = 23*o**2 + 2*o - 4. Let a be z(-6). Let g = 53 - 51. Suppose -8 = g*p, 3*p = -v + 3*v - a. What is v rounded to the nearest one hundred? 400 Suppose 2*s = 1 - 3. Let f = 71 + s. Let l be 250*((2 - 0) + f). Round l to the nearest 10000. 20000 Let c = -1 + 1.175. Let t = 0.033 - c. Round t to 2 dps. -0.14 Let o = 1 - 6. Let k = -0.00247067 + -4.99752973. Let x = o - k. What is x rounded to 7 dps? 0.0000004 Let m(y) = 14*y - 6. Let z(n) = -n**3 - 4*n**2 + 3*n + 6. Let c be z(-4). Let a = 11 + c. Let f be m(a). What is f rounded to the nearest 10? 60 Let q = -3620795.00061 + 3620764. Let b = -31 - q. Round b to 4 decimal places. 0.0006 Let b = -0.7 - -0.1. Let v = b + 0.61. Let o = 4.89 + v. Round o to zero dps. 5 Let p = -35.0164 + 35. What is p rounded to 3 dps? -0.016 Let o = -4.3999962 + 4.4. Round o to 6 decimal places. 0.000004 Let x = 2.5 - 2.49915. What is x rounded to four dps? 0.0009 Let l = -150 + 150.000378. Round l to five dps. 0.00038 Let c = 0.2 + -0.177. What is c rounded to three decimal places? 0.023 Let r = -0.0740083 + 0.074. What is r rounded to six dps? -0.000008 Let s = 1.4000152 + -1.4. What is s rounded to 6 decimal places? 0.000015 Suppose 16967841 - 374437 = -b + 3*c, -4*b - c = 66373629. Let t = -10193407 - b. What is t rounded to the nearest one million? 6000000 Let l = 291.99999742 - 292. What is l rounded to 6 dps? -0.000003 Let u = -107.3 - 391.7. Let j = 503.71 + u. Let c = 0.51 - j. What is c rounded to zero decimal places? -4 Let d(c) = 75149*c. Let v be d(-1). Let k = 521971 + v. Let n = 123178 + k. Round n to the nearest one hundred thousand. 600000 Let p = -74401.40063 + 74401. Let v = 0.399 + p. What is v rounded to 4 decimal places? -0.0016 Let s = 0.6 + -0.5999584. Round s to five dps. 0.00004 Let p = -25 + 25.09. Let j = 0.0899874 - p. Round j to 6 decimal places. -0.000013 Let c = 15 - 15.7. Let r = c - -0.94. Let l = r + -0.2400011. Round l to six decimal places. -0.000001 Let h = -8 - -43. Let d = h - 40.9. Let m = d + 6.89. What is m rounded to 1 dp? 1 Let f = 0.446 - 0.445751. Round f to 4 decimal places. 0.0002 Let b = 0.13561 + -0.135. What is b rounded to 4 dps? 0.0006 Let j be (13 + (1 - -2))*1444. Suppose 3*o - j = q - 209099, 247985 = -4*o + 3*q. Round o to the nearest 10000. -60000 Let o = -23100 - -40577. Suppose -3*g - o = -3077. What is g rounded to the nearest 1000? -5000 Let s = 12 - 7. Suppose -5*h - 53225 = s*x, -13181 = 2*x + h + 8114. Let n = x + 5050. Round n to the nearest one thousand. -6000 Let c = -8 - -7.88. Let k = -0.1199969 - c. Round k to six decimal places. 0.000003 Let f = 0.1006 - 0.071. Let m = 0.03 - f. Round m to three dps. 0 Let q be 1*-4 + (3 - 11711)/(-2). Round q to the nearest 1000. 6000 Let o = 9.099947 - 9.1. Round o to five dps. -0.00005 Let a = -6.05 - -6. Let z = 2.95 - a. Let x = z - 3.00004. What is x rounded to 4 decimal places? 0 Let d = -0.162 - -0.1619797. Round d to six decimal places. -0.00002 Let q = 15 + -14.724. Let m = 0.37 - q. Let k = m + -0.564. What is k rounded to one dp? -0.5 Suppose -21000020 = 3*c + 5*s, -c + 5*s - 34999980 = 4*c. What is c rounded to the nearest one million? -7000000 Let i = 29.00085 - 29. What is i rounded to four decimal places? 0.0009 Suppose 0 = f + f - 6. Suppose 0 = h + f*p - 16, 2*p = 4*h + 28 - 148. Round h to the nearest ten. 30 Let y = 2.1 - 2.1000011. Round y to six dps. -0.000001 Let x = 5018736.77 - 5018692.7700083. Let p = 44 - x. Round p to 6 dps. 0.000008 Let h = 168.103 - 65.197. Let f = 103 - h. Round f to 2 dps. 0.09 Let i be (3/4)/((-3)/444). Let f = i + 183. Let m be (2500/(-6))/(3/f). What is m rounded to the nearest 10000? -10000 Let z = -0.129 - -0.032. Let o = z - 0.493. What is o rounded to 1 dp? -0.6 Suppose 5*p - 675 = 550. Suppose 0 = 5*v + 4245 - p. Round v to the nearest one thousand. -1000 Let r = 348.4659366 - 225.46593751. Let i = -123 + r. What is i rounded to 7 dps? -0.0000009 Let j = -144 - -143.907. Let f = -15.293 - j. Let d = 3.8 + f. What is d rounded to 0 dps?
{ "pile_set_name": "DM Mathematics" }
+ 6*d**5 - 7*d**5 + (-16 + 8 + 3*d**4 + 2)*(d + 5*d - 18*d). -32*d**5 + 72*d Expand (107 - 693 + 3978 - 784 + 2688)*(-1 - 2*n + 1). -10592*n Expand (-1 + 1 - 1)*(-3 + 2 - 1)*(537*j + 1554*j + 527*j + (-1 - 1 + 1)*(-j + 0*j + 0*j) + j - 3*j + 3*j). 5240*j Expand (3*f + 0*f + 2*f)*(1 - 1 + 2) + 3535 - 3535 + 13*f. 23*f Expand 16*s**5 - 20*s**5 + 14*s**5 + (-271*s**3 + 4*s**3 - 301*s**3)*(-5 + 2*s**2 + 5). -1126*s**5 Expand (-v**2 - 4*v**2 + 3*v**2)*(-2*v - 4*v + 7*v) - 2299*v**3 + 743*v - 743*v + v**3 + 3*v + 2*v**3 - v. -2298*v**3 + 2*v Expand -2*k**4 + 3*k**5 + 0*k**4 - 2*k**5 + (-288*k**4 + 637*k**4 + 3*k**3 + 22*k**4)*(-2*k + 3*k + 0*k) + (5*k**4 + k**4 - 4*k**4)*(-k + 5*k - 2*k). 376*k**5 + k**4 Expand (-8 + 8 + 3*b**2)*(3*b - 4*b + 3*b) + 0*b**3 + 3*b**3 - 2*b**3 - 829*b + 27*b**3 + 829*b. 34*b**3 Expand 3*n**4 - 2296*n**2 + 15*n + 2296*n**2 + 3*n**4 + 2*n**4 - 6*n**4 + (0 + 0 - n**3)*(-3*n + 5*n + 0*n) + 4*n**4 + 0*n**4 + 0*n**4. 4*n**4 + 15*n Expand (-2*q**2 - 3*q**4 + 2*q**2)*(66 + 113 - 20)*(0*q + 0*q + q). -477*q**5 Expand (0 + 0 - 2)*((-10 - 4 - 35)*(-42*f - 28*f + 30*f) + 0 + 0 - 2*f). -3916*f Expand (0*m + 5*m + m)*(-2 + 5*m**2 + 7 - 6) + (1 + 3 - 2)*(5*m - 3*m**3 - 5*m) - 3*m**3 + m**3 + 3*m**3. 25*m**3 - 6*m Expand (-1 + 2 + 1)*(3*w - 4*w + 0*w) + 14178*w + 232080 - 232080. 14176*w Expand -12*y**5 - 21*y**5 - 20*y**5 + (2*y**5 - 4*y**5 - y**5)*(3 + 0 + 1)*(3 - 2 + 0). -65*y**5 Expand ((135 - 55 - 316)*(-3*t + 0*t + 5*t) - t - t + 0*t + 2*t + 0 + 0)*(0*t**2 + 2*t**2 - 5*t**2)*(0 - 2*t**2 + 0). -2832*t**5 Expand (-18 + 35 - 16 + 4*z)*(z - 2*z - z + 3*z - z + z + (1 - 1 + 2)*(0*z + 2*z - 3*z) + z - 4 + 4 + 4*z - 5*z + 2*z). 4*z**2 + z Expand (0*o - 2*o + 0*o)*(0*o + 5*o + o) + (-2*o + 2*o + 3*o**2 + (1 - 2*o - 1)*(-2*o + 0*o + 3*o))*(-4 - 2 + 3). -15*o**2 Expand (-4*z + 5*z + 0*z)*((9 - 1 + 16)*(0 + 5 - 4) + (-4 + 6 + 4)*(-3 + 2 + 4)). 42*z Expand (-f**2 - f + f)*(f**2 - 4*f**2 - 5*f**2 + (2*f**2 + 0*f**2 - 3*f**2)*(-4 - 3 + 5) - f**2 + 2*f**2 + f**2) + (2 + 1 + 0)*(3*f**4 + 3*f**4 - 4*f**4). 10*f**4 Expand (-422 + 138 + 189)*(5 + 3 - 4)*((2 + 3*r - 2)*(-3 + 1 + 1) - 2*r + 6*r - 3*r). 760*r Expand ((-4 + 3 + 6)*(3 - 1 - 3) - 9 + 5 - 2)*(m - 6*m - 9*m). 154*m Expand (4*s + 14*s - 38*s)*(3*s**2 + 0*s**2 + 2*s**2) + (2*s - 2*s + s)*(10 - 8*s**2 - 10) - 25*s**2 + 25*s**2 + 5*s**3. -103*s**3 Expand -o + 0*o + 3*o + 3*o - o - 4*o + (0 + 1 + 0)*(-2*o - 1 + 1) + 2*o - 2*o - o - 3*o - 3*o - 16*o + 42*o - 19*o + 19*o. 17*o Expand 78 - 55*s + 95 + 43*s + (0 - 2 + 4)*(s + 3*s - 5*s). -14*s + 173 Expand (1 - 1 - 2*w)*(-3 + 3 + w) - w**2 + 6*w**2 - 4*w**2 + (154 - 72 - 126)*(w**2 - w**2 + 2*w**2). -89*w**2 Expand (121 + 136 - 217)*(8*y**3 + 17*y**3 + 25*y**3 + 1). 2000*y**3 + 40 Expand (-150*g + 20*g + 10*g)*(7 - 13 + 5). 120*g Expand (-2*d + 6*d - 2*d)*(-107 - 59788*d + 295 - 95 - 93). -119576*d**2 Expand (-82 - 37 + 35)*(-4131 + 88*q + 4131). -7392*q Expand (59*i**3 + 2*i**3 - 136*i**2 - 62*i**3)*(0 + 3 + 2)*(-1 + 2 - 11) + (3*i**2 + 0*i**2 - 4*i**2)*(-2*i + 4*i - i). 49*i**3 + 6800*i**2 Expand 2*j**5 + 2*j**5 - 3*j**5 - 2*j**5 + 2*j**5 + 2*j**5 + (-j + 2*j + 0*j)*(-j**4 - j**2 + j**2) + 1505191*j**3 + 2*j**5 + 59*j**2 - 3*j**5 - 1505209*j**3. j**5 - 18*j**3 + 59*j**2 Expand 11 - 11*g**2 - 3 + 4*g**2 - g + 0*g + 0*g + g**2 + (2 - 1 - 3)*(10*g**2 - 17 + 17). -26*g**2 - g + 8 Expand (-279 - 207 - 10)*(-2*d + 5*d**3 - 5*d**3 + d**4 + (-d**4 - d**2 + d**2)*(0 + 2 + 0)). 496*d**4 + 992*d Expand (-45*z**2 - 119*z**2 + 36*z**2)*(2 - 3 - 1) + 6 - 2*z**2 - 6 + (-z + 0*z + 3*z)*(3*z - 6*z - z). 246*z**2 Expand (-34*
{ "pile_set_name": "DM Mathematics" }
r) = r**3 + 6*r**2 + 2*r + 3. Let x(b) = b**3 + b**2. Let j(m) = -h(m) + 2*x(m). Determine j(5). 12 Suppose -7*u + 91 = 84. Let z(k) = 4*k**3 + k**2 - 1. Determine z(u). 4 Let t be ((-24)/2)/(-2)*7/21. Suppose -5*u + c = 0, t*c = 3*u + 7*c - 28. Let v(x) = -27*x + 1. Calculate v(u). -26 Let b(i) = i + 1. Suppose 27*t - 10 = 17. Calculate b(t). 2 Let v(f) be the second derivative of 2*f + 1/2*f**2 + 7/6*f**3 + 0. Let g = 55 + -56. Calculate v(g). -6 Let l(a) be the first derivative of -a**4/4 - a**2/2 + 12*a - 55. Calculate l(0). 12 Let l(v) = -v**3 + v - 14. Let f be 8/12 - (30/9)/5. Give l(f). -14 Let a(y) = -3*y - 8. Let w(f) = -7*f - 14. Let h(g) = -5*a(g) + 2*w(g). Let o be h(-1). Let i(b) = -b**2 + 12*b - 6. What is i(o)? 5 Let b(h) be the second derivative of h**4/12 - 4*h**3/3 + 15*h**2/2 + 955*h. Determine b(7). 8 Let r(y) = -y**2 - 2*y - 1. Let a(b) = b**2 - 5*b + 16. Let q(m) = -a(m) - 4*r(m). What is q(-5)? -2 Suppose 6 = -4*u + 3*g, 0 = -3*u + 4*g - 2 - 6. Let s(w) = w**2 + w - 21. Give s(u). -21 Let j(f) = -3*f + 17. Let l be (-6)/14 + 992/224. What is j(l)? 5 Suppose 2*y + 0*z = 4*z - 10, z + 56 = -4*y. Let j(v) = 19*v - 17. Let t(a) = 9*a - 8. Let g(p) = y*t(p) + 6*j(p). Give g(5). -13 Let a(v) = 3*v**2 - 3*v + 3. Let b be (3/(-1))/((-6)/10). Suppose -5*m = b*n - 3*m + 6, -n + 4*m + 12 = 0. Suppose -6 = -3*k - n. Determine a(k). 9 Let w(m) = m**2 + m. Let u = -29 + 30. Let n(b) = 5*b**2 + 6*b + 3. Let r(i) = u*n(i) - 4*w(i). Calculate r(-2). 3 Let b(j) = -3*j + 4. Let k be b(0). Suppose 0*m + k = m - c, 6 = -2*c. Let g(h) = 9*h**2 + 2*h - 1. Calculate g(m). 10 Let q(a) be the third derivative of a**4/12 + 3*a**3/2 - 426*a**2. Let f be (-1)/4 - 54/8. Determine q(f). -5 Let k(s) = -5*s + 42. Suppose -b - 29 = -4*o - 5, 23 = 5*o - 3*b. Let t be k(o). Let h(q) = -q**2 + 5*q + 1. Give h(t). -13 Suppose v + 0*j - 9 = 2*j, 4*j = 3*v - 19. Suppose -4 + 0 = -y. Let b(m) = y*m + m + 7 - 8 + m. Give b(v). 5 Let j = 415 + -418. Let m(u) = -2*u**3 + 5*u**2 - 5*u - 3. Let l(x) = x**3 - 4*x**2 + 5*x + 3. Let q(b) = 3*l(b) + 2*m(b). What is q(j)? -3 Let j(y) = y**3 + 5*y**2 - 6*y - 9. Let v be ((-333)/2)/3 - 69/46. Let q = 51 + v. Determine j(q). -9 Let b(j) = j**3 + 6*j**2 + 2. Let v be b(-6). Suppose -3 = -i - v*i. Let a(g) = -g - 1. Let y(c) = 3*c + 3. Let s(t) = 2*a(t) + y(t). Determine s(i). 2 Let x = -3309 - -3286. Let j(q) = -q**3 - 22*q**2 + 21*q - 42. Calculate j(x). 4 Let w(n) = -n + 2. Let l = -4 - -6. Suppose 3*d - 5*h = -2*d - 15, l*d - 3*h = -6. Determine w(d). 5 Let x(g) = -3*g**2 + 16*g**2 + 0*g**2 + 2*g - 1. Suppose -6 = 3*o, -8*n = -6*n - o - 4. Give x(n). 14 Suppose 4*m - 2*i + 80 = -m, 5*m + 80 = 3*i. Let s = m - -16. Let f be (0 - (3 - s)) + 4. Let u(a) = 5*a**3 + 1. Give u(f). 6 Let s(v) be the first derivative of v - 11. Let y(i) = 2*i + 2. Let c(u) = 5*s(u) - y(u). Give c(3). -3 Let h(n) be the first derivative of 7*n**4/4 - n**3/3 + 49. Let r(q) = q. Let s be r(1). Calculate h(s). 6 Let q(c) = -c**2 + 10*c - 1. Let l = -447 + 456. Calculate q(l). 8 Let o(i) = -i**2 + 12*i - 4. Let u = 8 - -4. Let b be o(u). Let w(h) = -2*h**2 - 4*h - 3. Determine w(b). -19 Let s(n) be the third derivative of 0 + 1/8*n**4 + 1/10*n**5 - 14*n**2 + 1/120*n**6 + 0*n + 7/6*n**3. What is s(-6)? -11 Let u = 19 - 13. Let p(b) = -b**2 + 4*b - 4. Let k(d) = -d**2 + 4*d - 4. Let g(q) = -4*k(q) + 3*p(q). Let w(j) = -1. Let z(i) = g(i) - 2*w(i). What is z(u)? 18 Let y(n) = n**2 + 2*n - 3. Let z be y(2). Let f(t) be the second derivative of t**3/6 - t**2 - 368*t. Give f(z). 3 Let d(o) = -5*o**2 + 18*o - 3. Let q(v) be the second derivative of -v**4/6 + v**3 - v**2/2 + 47*v. Let i(m) = 3*d(m) - 8*q(m). Determine i(-5). -6 Let v be 4/(-5)*(-1 + 6). Let q(t) be the first derivative of -5/2*t**2 - t + 6 - 1/3*t**3. Determine q(v). 3 Let a(t) be the second derivative of t**5/20 - 2*t**4/3 - t**3/6 +
{ "pile_set_name": "DM Mathematics" }
ve q. -294 Rearrange -172 - 547*a**2 - 562*a**2 + 1106*a**2 to the form u*a + x*a**2 + b and give x. -3 Express -3*w - 39 - 435 + 16*w - 14*w - w in the form i*w + q and give i. -2 Rearrange -m - m + 0*m + (-416*m + 0*m + 144*m)*(0 - 4 + 1) to the form g + d*m and give d. 814 Express (3*h + 0 + 0)*(-70 - 76 + 56)*(h - h**3 - h) as t*h + j*h**3 + g + i*h**2 + c*h**4 and give c. 270 Express (10 - 10 + 9*r)*(2*r + 3*r - 3*r + (0 - 2 + 0)*(3*r - 7 + 7)) + (2 - 1 - 4)*(-2*r + 2*r + r**2) in the form m + d*r + n*r**2 and give n. -39 Express (3 + 1 - 6)*(-2 + 2 - 2*h) + 0*h + 3*h - 4*h + 3*h + h - 3*h - 626 in the form a*h + n and give n. -626 Express (2*r**2 - 3*r + 3*r)*(-15*r + 10*r + 36*r)*(5 - 2 + 0)*(3 + 1 + 2)*(-5*r + 2*r + r) as m*r + l*r**3 + u*r**4 + d*r**2 + o and give u. -2232 Rearrange (-712*k**2 + 56*k**2 - 280*k**2)*(0 - 2 + 1) to the form b*k + y + w*k**2 and give w. 936 Express (-4*z**2 + 13*z**2 - 2*z**2)*(27 - 5 - 4) in the form x*z**2 + l*z + s and give x. 126 Rearrange 2344*v - 522*v + 652*v to the form t + i*v and give i. 2474 Express -92*i - 2*i**2 - 2*i**2 + 2*i**2 - 2*i**2 + 4 + 6*i**2 in the form x*i + g*i**2 + d and give d. 4 Express -124*f + 13*f + 17*f - 2 as z*f + w and give z. -94 Express 2*i**4 - 34 + 4*i**2 - 40 - 2*i**3 + 77 + 0*i**4 as u*i**4 + b + o*i + f*i**3 + w*i**2 and give o. 0 Express 2 + 4*s**2 + s**3 + 12*s - 9*s - 4 in the form h*s**2 + x + q*s + f*s**3 and give q. 3 Rearrange 0 - 2*s**4 + 4*s**3 + 0 - 52*s + 62*s to w*s**2 + x + y*s + o*s**4 + r*s**3 and give r. 4 Express (-2*c + 2*c + 2*c)*(0 + 0 - 5)*(-2 + 0 + 4)*(-13 - 6 - 28) as p*c + i and give p. 940 Rearrange -413*o**2 + 474 - 828*o**2 - 225 - 247 to w + b*o**2 + s*o and give b. -1241 Rearrange -1237*n + 24*n - 898*n - 411*n - 9*n to q + z*n and give z. -2531 Express (-60*n + 28 + 62*n - 101)*(-2*n**2 + n**2 - 3*n**2) as l + x*n + a*n**2 + w*n**3 and give w. -8 Rearrange -328*v**2 - 166*v**2 + 36*v**2 + (2*v + 2*v - 3*v)*(-2 + 5 - 1)*(4*v + 0*v - 7*v) to u + l*v + z*v**2 and give z. -464 Express -41 + 201*i - 34 - 44 + 117 as d*i + r and give r. -2 Express (9 + 15*n + 20*n - 39*n)*(n - 2*n + 6*n) as g*n**2 + h + y*n and give y. 45 Express (-748*i + 24*i**3 + 748*i)*(-4 + 10 + 4 + 4 - 6 + 1 + (-3 - 3 + 4)*(2 + 1 - 2)) as m*i + v*i**2 + q + r*i**3 and give r. 168 Rearrange (u**3 - 23 - 30 + 49)*(1 - 10 + 2)*(-2*u + 2*u - u) + 5*u**4 + 2*u**4 - 5*u**4 to the form q*u**4 + v + z*u**3 + x*u + o*u**2 and give v. 0 Rearrange 5*n**4 - 8*n - n**2 - 7*n**4 + 2*n**3 + 1 + 3*n**4 - 20*n to the form z*n**3 + c*n**2 + v*n + h + s*n**4 and give z. 2 Express 3*a**2 + 0 - a**2 - 12*a**3 + 25*a**3 + 1 - 2*a - 2*a**4 - 11*a**3 in the form y*a**4 + q*a + f + p*a**2 + o*a**3 and give f. 1 Express (-g + 0*g + 2*g + 2*g + 2*g - 2*g - g - 1 + 1 - 1 + 1 - 2*g + (0 + 2 - 1)*(g - 5*g + 2*g))*(5191 + 6*g - 5191) in the form a + x*g + t*g**2 and give t. -12 Rearrange 573*b**2 - 1065 + 1065 to d*b**2 + u + s*b and give d. 573 Rearrange 7*w - 83 - 8*w + 65 to x*w + a and give x. -1 Rearrange (21858*h**3 - 9840*h**3 - 11109*h**3)*(3*h - 3*h - h) + 0*h + 2*h**4 + 0*h to the form u + m*h**2 + a*h + p*h**3 + z*h**4 and give z. -907 Rearrange -47*a**2 - 48*a**2 - a - 4 + 1 + 90*a**2 to f + s*a**2 + w*a and give s. -5 Rearrange -5*j**4 + 175*j**4 + 436*j**4 + (-2*j**3 + 2*j**3 - 2*j**3)*(3*j + j - 2*j) to the form s + o*j**2 + p*j + h*j**3 + m*j**4 and give m. 602 Express (h - 2 + 2)*(9*h**2 + h**2 + 6*h**2) + 3*h - 2*h**3 - 3*h + 13*h**3 + 3 - 3 in the form b + n*h**3 + p*h**2 + w*h and give n. 27 Rearrange (t + 2*t - 7*t)*(17 + 6 + 1)*(4 - 1 - 1) to h + c*t and give c. -192 Express (-2*c + 5 - 2*c + 2*c)*(6*c**3 - 14*c**3 - 120*c**3) as g*c + o + z*c**4 + s*c**3 + k*c**2 and give s. -640 Express -2 + 3*u**3 + 125*u - 3*u**3 - 75*u + 2*u**3 + 149*u in the form o*u**3 + z*u**2 + i + b*u and give b. 199 Express (-57 - 40*d + 57)*(-14 - 13 + 0) in the form q*d + a and give q. 1080 Rearrange (0 - 3 + 4)*(22*b - 201*b - 291*b) + (-4*b + 2*
{ "pile_set_name": "DM Mathematics" }
the next term in 1084, 1624, 2290, 3088, 4024, 5104, 6334, 7720? 9268 What is next in 24774, 99046, 222822, 396102? 618886 What is next in -67643, -67730, -67817? -67904 What is the next term in 2317019, 4634038, 6951057, 9268076, 11585095, 13902114? 16219133 What is next in 15425465, 15425464, 15425461, 15425456, 15425449, 15425440? 15425429 What is next in -2888914, -5777849, -8666808, -11555791, -14444798? -17333829 What is the next term in 512128, 1020975, 1529822, 2038669, 2547516, 3056363? 3565210 What is the next term in -1630, -6361, -14252, -25303? -39514 What is next in -122359, -245970, -369593, -493234, -616899, -740594, -864325? -988098 What is the next term in 312, 1323, 3032, 5463, 8640, 12587, 17328? 22887 What is the next term in -12730, -18448, -24166, -29884, -35602, -41320? -47038 What comes next: 37793, 74012, 108661, 141740? 173249 What comes next: -2838, -5033, -6586, -7497, -7766, -7393? -6378 What is next in 543634689, 1087269383, 1630904079, 2174538777, 2718173477, 3261808179? 3805442883 What is next in -575, -1458, -2307, -3104, -3831? -4470 What is next in -726, -1404, -2378, -3642, -5190, -7016, -9114? -11478 What comes next: -709, -905, -1187, -1519, -1865, -2189, -2455, -2627? -2669 What is the next term in 8079441, 8079453, 8079467, 8079483, 8079501, 8079521? 8079543 What is next in 4216, 13749, 23282? 32815 What is the next term in 825457470, 825457468, 825457456, 825457428, 825457378, 825457300? 825457188 What comes next: 65990, 66025, 66090, 66191, 66334? 66525 What is next in 40618, 81068, 121518? 161968 What comes next: 146125, 292207, 438289, 584371, 730453, 876535? 1022617 What is the next term in -54827220, -54827222, -54827224, -54827226, -54827228, -54827230? -54827232 What is next in 9856857, 19713702, 29570547, 39427392, 49284237? 59141082 What comes next: 2326, 2173, 2060, 1999, 2002? 2081 What is the next term in 2475, 8883, 19623, 34695, 54099? 77835 What is next in 330818, 661653, 992488? 1323323 What is the next term in 1428918, 5715704, 12860348, 22862850, 35723210? 51441428 What is next in 53547, 53509, 53451, 53373, 53275? 53157 What is next in 6672, 6683, 6686, 6675, 6644, 6587? 6498 What is next in 1957, 15589, 52527, 124405, 242857? 419517 What comes next: -704246, -704279, -704312, -704345? -704378 What is next in 700006, 700010, 700024, 700054, 700106, 700186, 700300? 700454 What is the next term in 270899779, 541799558, 812699337? 1083599116 What comes next: -575, -444, -265, -68, 117? 260 What is next in 60233, 240916, 542055, 963650, 1505701, 2168208? 2951171 What is next in 265399, 531113, 796825, 1062535, 1328243? 1593949 What is next in -141783, -567435, -1276855, -2270043, -3546999, -5107723? -6952215 What is next in -1842, -1805, -1768, -1731, -1694, -1657? -1620 What is the next term in 2166423, 2166427, 2166433, 2166441, 2166451? 2166463 What comes next: 196, 2211, 5568, 10267, 16308, 23691, 32416? 42483 What is the next term in -44102, -43267, -41874, -39923, -37414? -34347 What is next in -76815, -153649, -230491, -307341, -384199, -461065? -537939 What is the next term in -153019, -612731, -1378907, -2451541, -3830627, -5516159? -7508131 What is the next term in 19933, 19930, 19925, 19918? 19909 What is the next term in -712358, -1425020, -2137680, -2850338, -3562994, -4275648, -4988300? -5700950 What is the next term in -126779, -126790, -126801, -126812? -126823 What is the next term in 139, -54, -563, -1538, -3129, -5486? -8759 What is next in -862874, -862815, -862664, -862379, -861918? -861239 What comes next: -9374624, -9374629, -9374634, -9374639, -9374644? -9374649 What is the next term in -7748602, -15497306, -23246010? -30994714 What is next in -117396, -234873, -352350, -469827? -587304 What is next in 8917, 10638, 12411, 14242, 16137, 18102, 20143? 22266 What is next in -4235, -4011, -3641, -3125? -2463 What is the next term in 196073, 392054, 588035, 784016? 979997 What comes next: 26391, 53033, 79929, 107079, 134483, 162141? 190053 What is next in 12634133, 12634122, 12634097, 12634052, 12633981, 12633878, 12633737, 12633552? 12633317 What is next in 76029, 304306, 684749, 1217346, 1902085? 2738954 What comes next: 1145483, 1145618, 1145753, 1145888, 1146023? 1146158 What comes next: 123655, 494913, 1113777, 1980247, 3094323, 4456005, 6065293? 7922187 What is the next term in 5682, 5443, 5178, 4887, 4570, 4227? 3858 What is next in 90956, 90957, 90958, 90959? 90960 What is the next term in -180, -3209, -6238, -9267, -12296, -15325? -18354 What is next in 3407577, 3407568, 3407559, 3407550, 3407541, 3407532? 3407523 What is next in -1509, -3066, -4677, -6348, -8085, -9894, -11781? -13752 What is next in 46945, 94309, 141673, 189037? 236401
{ "pile_set_name": "DM Mathematics" }
p**3/3 - 56*p**2. What is l(-8)? 6 Let v(l) = -2*l**3 + l**2 + l + 1. Let f be v(-1). Suppose -f*p = -6 - 6. Let x(o) be the first derivative of o**2/2 - 5*o + 1. Give x(p). -1 Let k(n) = 4*n**2 - 2*n + 5. Let f(x) = 3*x**2 - 9*x + 4. Let p(c) = -c**2 - c - 1. Let d(m) = f(m) - 6*p(m). Let y(u) = 3*d(u) - 7*k(u). Give y(5). -5 Let y(t) = t**3 - 2*t**2 - 4*t + 3. Let o(l) = -l**2 - 6*l + 3. Let h be (-1)/3 - (-2)/(-3). Let i be (h + -4)*42/35. Let r be o(i). Determine y(r). 0 Let r(b) = -5*b**2 - 2*b - 1 + 2*b. Suppose 5*d - 3 - 2 = 0. Determine r(d). -6 Let p(x) = x**3 + 2*x**2 + x. Suppose -4*o - 8 + 4 = 0. Let w(z) = -2*z**2 + 1. Let m be w(o). Give p(m). 0 Let z(k) = 14*k**3 + 12*k**2 - 15*k + 3. Let y(q) = -5*q**3 - 4*q**2 + 5*q - 1. Let v(n) = -11*y(n) - 4*z(n). Let p be -2*(-4)/(-2) - 1. Calculate v(p). -1 Let q be (7 - 4)*3/(-3). Let f(g) be the third derivative of 1/8*g**4 + 1/60*g**5 - 1/3*g**3 + 0*g + g**2 + 0. Give f(q). -2 Suppose 4*t - m - 15 = 0, 37*t - 33*t - 4*m = 12. Let i = 10 + -6. Let k(p) = 3*p**2 - i*p**3 + p + 5*p - 4 + 3*p**3. Give k(t). 4 Let t(q) be the first derivative of 1/6*q**4 + 3*q + 1 + 3/2*q**2 - 5/6*q**3. Let g(p) be the first derivative of t(p). Calculate g(3). 6 Suppose -k + 4*k + 6 = 0. Let z(j) be the third derivative of j**6/120 + 75*j**2. Calculate z(k). -8 Suppose 17 + 7 = 4*h. Let n = h + -1. Suppose 4*x + n*w + 41 = 0, 3*w + 23 = -2*x - 0*w. Let k(v) = 2*v + 3. Calculate k(x). -5 Let x(k) be the second derivative of k**2 + 0 + 1/3*k**4 + 1/20*k**5 - k + 1/3*k**3. Suppose 2 - 8 = 2*w. Give x(w). 5 Let h(y) be the second derivative of -y**5/20 - y**4/2 - y**3/6 - 3*y**2/2 - 7*y. What is h(-6)? 3 Let w(g) be the third derivative of -g**6/720 + g**5/60 + 7*g**4/24 + 4*g**2. Let q(t) be the second derivative of w(t). Calculate q(6). -4 Let l = 26 + -22. Let z(a) = -a**2 + 3*a - 5. What is z(l)? -9 Let x(s) = -3*s - 1. Let v(j) = 2*j**2 + 21*j + 12. Let g(p) = -p**2 - 11*p - 6. Let u(t) = -11*g(t) - 6*v(t). Let b be u(-4). Determine x(b). 5 Let b(m) = -m**3 + m**2 - m - 1. Let r(g) = -5*g**3 + 10*g**2 - 11*g - 7. Let d(q) = -6*b(q) + r(q). Determine d(-5). -1 Let u be -1*4 + (-18)/9. Let c(i) = 2*i + 4. Give c(u). -8 Suppose 4*p = 5*a - 24, 4*a + 3*p = 5 + 8. Let x(n) = 4*n**2 - a*n**2 + 3*n**2 + n. Determine x(1). 4 Suppose -3*d + 6 + 0 = 0. Let z(p) = 3*p - p**d + 4*p - 6 + 2. Suppose -t - r - r + 1 = 0, 4*t = -4*r + 12. Determine z(t). 6 Let f(v) = -5*v**2 + v - 14. Let j(p) = p - p**2 - 3 - 3 + 3 + 2. Let t(l) = f(l) - 6*j(l). Determine t(6). -2 Let u(h) = 4 + 0 + 0*h**2 - h**2. Suppose -2*c + 2*b - 14 = 0, 3*c + 15 + 5 = 2*b. Let m be 4/c + (-10)/3. What is u(m)? -12 Let t be (8/(-14))/(2/(-7)). Let d(r) = -r**3 + t - 10*r + 3*r + 6*r**2 + 2. Let w be ((-1)/(-2))/((-4)/(-32)). Determine d(w). 8 Let x = 3 + -2. Let z = 4 + x. Let o(v) = -3*v + 7. What is o(z)? -8 Let o(v) = v + 2. Let q(z) be the first derivative of -z**2/2 - z - 1. Let n(l) = 5*o(l) + 6*q(l). Calculate n(4). 0 Suppose 0 = 4*x - 20, -4*d + 8 + 19 = 3*x. Let m(p) = d + 6*p - 4 + 1. Calculate m(-1). -6 Let t(q) = -2*q + 3*q + 2*q**3 - 1 + 6*q**2 - 3*q**3. Let r be t(6). Let p(d) = 4 + 2 - 1 - d. Determine p(r). 0 Suppose b - 5 = -4*j - 3, -5*b - 10 = 0. Let v(c) = 4*c**3 - 2*c**2 + c. Give v(j). 3 Let w(r) = -4 + r**2 + 1 - 6*r + 4. Give w(4). -7 Let b(y) = -4*y + 1. Suppose x - 5*x + 60 = 4*p, 5*x - 67 = -3*p. Suppose t = 2 - x. Let u = -8 - t. What is b(u)? -3 Let h = -21 - -37. Suppose 7 = 2*j - d, 2*j + 4*d - h = -j. Let u(w) = -3*w**3 - j*w**3 - w + 0*w. What is u(1)? -8 Let m(q) = q**2 - 6*q + 3. Let k = 103 + -88. Let y(p) = p**3 - 7*p**2 + 7*p - 3. Let d be y(6). Suppose -d*l = -0*l - k. Determine m(l). -2 Let j(b) be the third derivative of b**6/60 + b**5/60 - b**3/6 - 2*b**2. Give j(-1). -2 Let k(h) = -h**2 + 7*h + 5. Suppose 20 = b - 3*d, 0 = b + 4*b - 2*d - 48.
{ "pile_set_name": "DM Mathematics" }
2. -3*v**2 Collect the terms in 13 + 1205*z**2 - 13. 1205*z**2 Collect the terms in -449255*n**2 - 8*n**3 + 449255*n**2. -8*n**3 Collect the terms in 28*t**2 - 13*t**2 - 17*t**2. -2*t**2 Collect the terms in -218*y**3 - 3 + 25 - 22 + 220*y**3. 2*y**3 Collect the terms in -6*m - 13*m + 11*m. -8*m Collect the terms in -19*a - 13*a + 56*a - 12*a. 12*a Collect the terms in 55*p - 50*p - 6*p. -p Collect the terms in -z**3 + 33*z**3 - 21*z**3. 11*z**3 Collect the terms in -180*f - 36 + 16 + 20. -180*f Collect the terms in 144 - 144 + 6*u**2. 6*u**2 Collect the terms in -4*z + 4*z - 32*z**2 - 13*z**3 + 11*z**3. -2*z**3 - 32*z**2 Collect the terms in -j - j**2 + 11*j - 10*j + 0*j. -j**2 Collect the terms in w**3 - w + w + 17 + 0*w**3. w**3 + 17 Collect the terms in -67*g + 129*g - 73*g. -11*g Collect the terms in 18 + 8*b**2 - 10 - 8. 8*b**2 Collect the terms in 7 - k - 6 - 1. -k Collect the terms in -42*f**2 + 37*f**2 - 38*f**2. -43*f**2 Collect the terms in 2*h - 3*h - h + 2*h + h**2. h**2 Collect the terms in 1087 + 25*x - 2*x**2 - 1087. -2*x**2 + 25*x Collect the terms in -5*z**2 + 32 + 14 - 46. -5*z**2 Collect the terms in -k**2 + 232*k - 114*k - 118*k. -k**2 Collect the terms in 2997 - 2997 + 9*p**2. 9*p**2 Collect the terms in 9061*r**2 + 9065*r**2 - 18128*r**2. -2*r**2 Collect the terms in -4*k - 2415630 + 2415630. -4*k Collect the terms in -1229*o**2 + 1229*o**2 + 3*o**3. 3*o**3 Collect the terms in -3*c**3 - 13*c**3 - 5*c**3. -21*c**3 Collect the terms in -6*x**3 + 5*x**3 - 8*x**3 + 320*x**2 - 320*x**2. -9*x**3 Collect the terms in -99*n**3 + 116*n**3 - n + n. 17*n**3 Collect the terms in -176717 + 176717 - 9*j**2. -9*j**2 Collect the terms in -2*r**2 - 3*r**2 - 6*r**2 + 0*r**2. -11*r**2 Collect the terms in 91*a**3 - 52*a**3 - 43*a**3. -4*a**3 Collect the terms in -l + 3*l - 9*l - 3*l. -10*l Collect the terms in -2552 + 2552 - 5*l + 5*l - 18*l**3. -18*l**3 Collect the terms in -77 + 10*x**3 + 77 + x**3. 11*x**3 Collect the terms in -5497 + 4*u**3 + 5497. 4*u**3 Collect the terms in 10*v**2 + 3*v**2 + 8*v**2. 21*v**2 Collect the terms in -9957*l + 9957*l + 2*l**2. 2*l**2 Collect the terms in -177*z + 84*z + 88*z. -5*z Collect the terms in 59*b**2 + 36*b**2 - 102*b**2. -7*b**2 Collect the terms in -4 + 4 - 184*c + 0. -184*c Collect the terms in -96*p**2 - 4*p**2 + 7*p**2. -93*p**2 Collect the terms in -j + 6*j - 3*j. 2*j Collect the terms in -46*z + 16*z + 10*z + 12*z + 9*z. z Collect the terms in -2*x**3 + 2 - 4*x**3 - 1. -6*x**3 + 1 Collect the terms in 1035*r**3 - 2072*r**3 + 1042*r**3. 5*r**3 Collect the terms in 5*z - 139*z**2 - 5*z. -139*z**2 Collect the terms in 33*b**3 + b**2 - 32*b**3 - b**2. b**3 Collect the terms in -i**2 + 27 + 22 - 5 - 8. -i**2 + 36 Collect the terms in 24*p - 16*p + 23*p + 11*p. 42*p Collect the terms in 8*u - 6*u**2 - 8*u. -6*u**2 Collect the terms in 8 + 3*f + 2 - 2 + f. 4*f + 8 Collect the terms in -4*t**2 - 2*t**2 - 3*t**2. -9*t**2 Collect the terms in 2*y + 4 - 33*y - 3*y. -34*y + 4 Collect the terms in -7*f**3 + 4*f**3 - f**3. -4*f**3 Collect the terms in -5 - 15 + 20 + 3*y**2. 3*y**2 Collect the terms in 2*a**3 - 3*a**3 + 3 - 3. -a**3 Collect the terms in 0*m**3 - 2*m**3 - m**3 + m**3 + 417. -2*m**3 + 417 Collect the terms in -488*h + h**2 + 488*h. h**2 Collect the terms in 0 + 0 + 28*s**3. 28*s**3 Collect the terms in 17*w + 10 - 10. 17*w Collect the terms in 756*p + 8 - 8. 756*p Collect the terms in -36*h**2 + 84*h**2 - 24*h**2 - 26*h**2. -2*h**2 Collect the terms in -1998*q**2 - 2005*q**2 + 4003*q**2 + 17*q**3. 17*q**3 Collect the terms in -54*q - 61*q + 171*q - 59*q. -3*q Collect the terms in -56*x**2 - 2*x**3 - x**3 + 56*x**2. -3*x**3 Collect the terms in 8*k**3 - 35*k**3 - 55*k**3 + 16*k**3. -66*k**3 Collect the terms in 5*n**2 + 3*n**2 - 159*n + 159*n. 8*n**2 Collect the terms in 6*b + 7*b + 9*b - 20*b. 2*b Collect the terms in 7*u - 22*u + 12*u. -3*u Collect the terms in -2*r**3 + 2*r**3 + 57*r**2 - r**3. -r**3 + 57*r**2 Collect the terms in -3622*t + 3 - 3. -3622*t Collect the terms in 16*b**3 - 35*b**3 + 26*b**3. 7*b**3 Collect the terms in -122*a**2 - 2*a**2 + 2*a - 2*a + 122*a**2. -2*a**2 Collect the terms in -13*v
{ "pile_set_name": "DM Mathematics" }
when 6368 is divided by 49. 47 What is the remainder when 1163 is divided by 245? 183 What is the remainder when 12324 is divided by 485? 199 Calculate the remainder when 3108 is divided by 87. 63 Calculate the remainder when 49062 is divided by 36. 30 What is the remainder when 16636 is divided by 2765? 46 Calculate the remainder when 352445 is divided by 18549. 14 What is the remainder when 5418 is divided by 106? 12 Calculate the remainder when 202873 is divided by 3687. 88 What is the remainder when 81403 is divided by 81395? 8 Calculate the remainder when 29012 is divided by 133. 18 What is the remainder when 6381 is divided by 1063? 3 Calculate the remainder when 457609 is divided by 7. 5 Calculate the remainder when 2461954 is divided by 5. 4 Calculate the remainder when 34790 is divided by 69. 14 Calculate the remainder when 5910 is divided by 2955. 0 What is the remainder when 5754 is divided by 1026? 624 Calculate the remainder when 1152 is divided by 563. 26 What is the remainder when 3331 is divided by 239? 224 What is the remainder when 2474 is divided by 16? 10 Calculate the remainder when 465654 is divided by 995. 989 Calculate the remainder when 85010 is divided by 40. 10 What is the remainder when 1042552 is divided by 141? 139 Calculate the remainder when 505 is divided by 15. 10 What is the remainder when 38500 is divided by 53? 22 Calculate the remainder when 34982 is divided by 2057. 13 Calculate the remainder when 1052512 is divided by 89. 87 Calculate the remainder when 34899 is divided by 198. 51 Calculate the remainder when 9426 is divided by 4703. 20 Calculate the remainder when 48265 is divided by 779. 746 Calculate the remainder when 8149635 is divided by 609. 606 Calculate the remainder when 30729 is divided by 30723. 6 Calculate the remainder when 67511 is divided by 174. 173 Calculate the remainder when 1444289 is divided by 22. 11 What is the remainder when 3652 is divided by 192? 4 What is the remainder when 841804 is divided by 42? 40 Calculate the remainder when 2358 is divided by 666. 360 What is the remainder when 111401 is divided by 6? 5 Calculate the remainder when 8180 is divided by 2619. 323 Calculate the remainder when 56025 is divided by 58. 55 Calculate the remainder when 2355 is divided by 256. 51 What is the remainder when 10286 is divided by 10? 6 Calculate the remainder when 5567 is divided by 2423. 721 Calculate the remainder when 447039 is divided by 214. 207 Calculate the remainder when 49542 is divided by 4936. 182 Calculate the remainder when 316 is divided by 239. 77 What is the remainder when 2633 is divided by 442? 423 Calculate the remainder when 271535 is divided by 421. 411 What is the remainder when 56649 is divided by 426? 417 Calculate the remainder when 43872 is divided by 237. 27 Calculate the remainder when 86960 is divided by 69. 20 What is the remainder when 1060 is divided by 517? 26 Calculate the remainder when 36341 is divided by 616. 613 Calculate the remainder when 27737 is divided by 49. 3 Calculate the remainder when 1303 is divided by 639. 25 Calculate the remainder when 159678 is divided by 181. 36 Calculate the remainder when 2048 is divided by 191. 138 What is the remainder when 652757 is divided by 2611? 7 Calculate the remainder when 6598 is divided by 926. 116 Calculate the remainder when 40681 is divided by 191. 189 What is the remainder when 97626 is divided by 123? 87 Calculate the remainder when 4211 is divided by 146. 123 Calculate the remainder when 2441 is divided by 1196. 49 What is the remainder when 26983 is divided by 1286? 1263 Calculate the remainder when 294599 is divided by 49095. 29 Calculate the remainder when 3498 is divided by 52. 14 Calculate the remainder when 169918 is divided by 960. 958 What is the remainder when 71314 is divided by 5938? 58 What is the remainder when 27403 is divided by 21? 19 What is the remainder when 36405 is divided by 18200? 5 Calculate the remainder when 1488 is divided by 41. 12 Calculate the remainder when 1524 is divided by 93. 36 Calculate the remainder when 4881 is divided by 103. 40 What is the remainder when 653 is divided by 10? 3 What is the remainder when 532044 is divided by 266001? 42 What is the remainder when 201 is divided by 23? 17 What is the remainder when 439 is divided by 122? 73 What is the remainder when 462313 is divided by 735? 733 Calculate the remainder when 370 is divided by 42. 34 What is the remainder when 11300 is divided by 26? 16 What is the remainder when 12953 is divided by 1288? 73 What is the remainder when 1975349 is divided by 325? 324 What is the remainder when 1972 is divided by 349? 227 What is the remainder when 95217 is divided by 180? 177 What is the remainder when 6105 is divided by 1397? 517 What is the remainder when 5194 is divided by 2592? 10 Calculate the remainder when 857 is divided by 84. 17 Calculate the remainder when 97088 is divided by 108. 104 Calculate the remainder when 2603 is divided by 2548. 55 Calculate the remainder when 154215 is divided by 521. 520 What is the remainder when 16689 is divided by 150? 39 What is the remainder when 3087 is divided by 512? 15 Calculate the remainder when 96468 is divided by 32123. 99 What is the remainder when 80565 is divided by 44? 1 Calculate the remainder when 13428 is divided by 433. 5 What is the remainder when 220415 is divided by 336? 335 Calculate the remainder when 1594351 is divided by 43. 40 What is the remainder when 27792 is divided by 83? 70 Calculate the remainder when 317319 is divided by 10942. 1 Calculate the remainder when 19700 is divided by 856. 12 What is the remainder when 11084 is divided by 168? 164 What is the remainder when 99712 is divided by 11? 8 Calculate the remainder when 17028 is divided by 4250. 28 Calculate the remainder when 22161 is divided by 33. 18 Calculate the remainder when 1309794 is divided by 67. 11 What is the remainder when 3665 is divided by 31? 7 Calculate the remainder when 878179 is divided by 15. 4 What is the remainder when 4962 is divided by 12? 6 What is the remainder when 7136 is divided by 122? 60 What is the remainder when 355840 is divided by 640? 0 Calculate the remainder when 153562 is divided by 67. 65 Calculate the remainder when 18875 is divided by 103. 26 Calculate the remainder when 1152 is divided by 341. 129 What is the remainder when 13953 is divided by 20? 13 Calculate the remainder when 3398 is divided by 297. 131 What is the remainder when 48693 is divided by 8? 5 Calculate the remainder when 175257 is divided by 138. 135 What is the remainder when 2340 is divided by 2279? 61 Calculate the remainder when 12031 is divided by 1374. 1039 What is the remainder when 96882 is divided by 112? 2 Calculate the remainder when 2037 is divided by 1988. 49 What is the remainder when 121677 is divided by 52? 49 What is the remainder when 9289 is divided by 38? 17 Calculate the remainder when 13319 is divided by 129. 32 What is the remainder when 52014 is divided by 103? 102 What is the remainder when 9841 is divided by 2442? 73 Calculate the remainder when 3789 is divided by 106. 79 What is the remainder when 216642 is divided by 17? 11 Calculate the remainder when 14256 is divided by 149. 101 Calculate the remainder when 67866 is divided by 606. 600 What is the remainder when 11561 is divided by 2838? 209 Calculate the remainder when 24493 is divided by 196. 189 Calculate the remainder when 132548 is divided by 69. 68 What is the remainder when 3022 is divided by 589? 77 Calculate the remainder when 436 is divided by 353. 83 Calculate the remainder when 1075 is divided by 373. 329 What is the remainder when 5978 is divided by 496? 26 Calculate the
{ "pile_set_name": "DM Mathematics" }
6*z - z - 285. What is the remainder when z is divided by 29? 28 Suppose 2*p + 14 = p. Let d(n) = -n**3 - 13*n**2 + 15*n + 16. Calculate the remainder when 3 is divided by d(p). 1 Suppose 4*w - 8 = -k, 0 = -4*k + 2*w + w + 13. Calculate the remainder when 14 is divided by k. 2 Let c(y) = y**2 - 8*y - 3. Let n be c(6). Let d be ((-250)/n)/((-2)/(-6)). Suppose 0 = -3*a + 10 + d. Calculate the remainder when 58 is divided by a. 18 Suppose -2*x - 5*v = -40, -x + 3*v - 22 = -2*x. What is the remainder when 27 is divided by x? 7 Suppose -6*h - 41 = -4*p - h, -p + 5*h - 1 = 0. Let k = 17 - 5. What is the remainder when p*-5*(-4)/8 is divided by k? 11 Let f be -4*(-6)/8*7. Suppose 4*o + f = v, -4*v - o - 2 = -1. Suppose 0 = -y + 27 - v. What is the remainder when y is divided by 9? 8 Let n(k) = -2*k**2 - 49*k - 12. What is the remainder when 20 is divided by n(-24)? 8 Suppose -5*q - 4*v + 71 = -v, -3*q + 51 = -v. Let k(o) = 10*o - 4. What is the remainder when k(5) is divided by q? 14 Let g(o) = 2*o - 12. Let c be g(8). Suppose 2 = -c*h + 14. Suppose 5*p + z - 17 = -0*z, h*z = -5*p + 11. What is the remainder when p is divided by 3? 1 Let k = 2 + 4. Let h = k + 23. Calculate the remainder when h is divided by 10. 9 Let z(t) be the first derivative of t**4/4 + t**3/3 + t**2/2 + t + 1. Calculate the remainder when ((-10)/(-4) + (-5 - -3))*4 is divided by z(0). 0 Calculate the remainder when 115/15 + 1/3 is divided by 3. 2 Let i = -6 - -10. Suppose 3*v = 4*x + 13, v + 0*v - 5 = x. Calculate the remainder when v is divided by i. 3 Let i be (-2)/(-3)*3/(-2). Let l(p) = 3*p**3 - p**2 - p + 1. Calculate the remainder when l(2) is divided by 7*(i + 0 - -2). 5 Suppose -12 = -t - 2*t. Suppose -107 = -t*h - 0*h - w, h = 5*w + 11. What is the remainder when h is divided by 9? 8 Let s(q) = q**3 - 6*q**2 - 5*q + 9. Let a be s(6). Let y = -8 - a. What is the remainder when 38 is divided by y? 12 Suppose -6*m + 2*m + 16 = 0. Suppose 15 = 5*s, -8 = -m*l - 0*l - 4*s. Calculate the remainder when l/1 + 39 - -2 is divided by 14. 12 Let y(w) = w**2 + 2. Let f(g) = g**3 - 5*g**2 - 2*g + 7. Let c be f(6). Let v = -14 + c. What is the remainder when v is divided by y(2)? 5 Suppose -1 = -4*x - 3*a, -2*a - 5 = -4*x + 21. Suppose x - 2 = z. Calculate the remainder when 3 is divided by z. 1 Let u = 54 + -42. Let y(c) = -c**3 + c + 14. Let q be y(0). Suppose -2*w = 2*t - u, -t + q = 3*w - 6*w. What is the remainder when 21 is divided by t? 5 Let p be (0 - 0)*(-1 + 0). Suppose -5*k - 106 - 99 = p. Let m = -17 - k. Calculate the remainder when m is divided by 13. 11 Let r(m) = -m**3 - 7*m**2 + 9*m + 10. Let p be r(-8). Suppose 9 = i - u, 3*i - p*u = 10 + 21. What is the remainder when 38 is divided by i? 12 Suppose 68 = 3*m + 5*v - v, 3*m = 2*v + 92. Calculate the remainder when 81 is divided by m. 25 Let u = 18 - -1. Calculate the remainder when u is divided by 7. 5 Suppose 7*b = -49 + 623. Calculate the remainder when b is divided by 21. 19 Suppose 4*b - 33 - 87 = 0. Calculate the remainder when b is divided by (-9)/((-108)/80)*(-48)/(-20). 14 Let g = 0 - 0. Suppose g*s - 5*s + 11 = q, -4*s + 3*q = -5. Suppose -3*v + 45 = s*v. Calculate the remainder when 33 is divided by v. 6 Suppose 68 = 3*v - 2*i - 57, 0 = v - 2*i - 35. Calculate the remainder when v is divided by 16. 13 Suppose -3*b - b + 68 = 0. Let o(g) be the second derivative of g**5/20 - 7*g**4/12 + g**3/6 - g**2 + g. What is the remainder when b is divided by o(7)? 2 Let c(j) = -5*j - 2. Let s(q) = -3*q**2 - 2*q + 1. Let b be s(1). What is the remainder when c(b) is divided by 10? 8 Suppose -2*y = -15 - 27. Calculate the remainder when y is divided by -7 + -7 + 4 + 21. 10 Suppose -5*s + 570 = 120. Calculate the remainder when s is divided by 31. 28 Suppose 3*r - 4*a - 259 = -2*r, -r - 4*a + 71 = 0. What is the remainder when r is divided by 15? 10 Suppose -n + 1 = -6. Let x = -3 + n. Suppose 21 = i - 3*l, x*l + 0 + 38 = 3*i. Calculate the remainder when i is divided by 2. 0 Let c = -25 - -27. Suppose -4*r + 82 = -2*n, r + n = -c*r + 59. Calculate the remainder when r is divided by 12. 8 Let p(m) = m**3 - m**2 - 8*m + 14. Calculate the remainder when p(4) is divided by 9. 3 Suppose 0 = x - 2*j - 13 - 8, 0 = 2*x + 5*j - 24. What is the remainder when 67 is divided by x? 16 Let w be -3*(-2 + 20/6). Let x = -2 - w. Suppose 4*p - b = -x*b + 79, -4*p - 4*b = -76. Calculate the remainder when 58 is divided by p. 18 Let h(k) = k**3 - 2*k**2 - 4*k - 3. Let c = 14 + -10. Calculate the remainder when 36 is divided by h(c). 10 Suppose 10 = 2*y, 0*i + 2*i = -y + 55. Calculate the remainder when 49 is divided by i. 24 Let r = 5 + 0. Suppose 2*x + 5 = 5*u, 2*u + r*x = 5 + 26. Suppose -2*s + 9 + u = 0. What is the remainder when s is divided by 4? 2 What is the remainder when 49 is divided by 234/24 + 1/4? 9 Let o = 6 + -3. Let r(t) = t + 9. Let m = -2 - 2. Calculate the remainder when r(m) is divided by o. 2 Let b = -23 - -37. What is the remainder when 40 is divided by b? 12 Suppose -99 = -2*k - 3*y, -3*k - y = -7*k + 233. Let c(d) = -6*d - 21. What is the remainder when k is divided by c(-6
{ "pile_set_name": "DM Mathematics" }
6 What is the derivative of 23193272*k**2*t*w**2 - k**2*w**2 + 2677222*t + w**2 wrt k? 46386544*k*t*w**2 - 2*k*w**2 What is the third derivative of 41122183*f**3 - f**2 + 99154*f - 19 wrt f? 246733098 What is the first derivative of -14199426*m**2 + 4*m + 343943625? -28398852*m + 4 What is the second derivative of 238*c**4 + 18263*c**2 - 311*c - 2832? 2856*c**2 + 36526 Find the second derivative of -191*o**4 - 53*o**3 + 864*o**2 + 2934*o - 18073 wrt o. -2292*o**2 - 318*o + 1728 What is the second derivative of 1507072*m**2*n + 3*m**2*x**3 + m*n*x**3 - m*n*x + 144*m*n + n*x**2 - 10662*n*x wrt m? 3014144*n + 6*x**3 What is the derivative of 530011*a*q**2 + 34*a*q + 46898805*q**2 wrt a? 530011*q**2 + 34*q What is the third derivative of 16490573*m**3*y**3 + m**3*y**2 - 211*m**3*y + 3*m**3 - 8*m*y - 27*y wrt y? 98943438*m**3 Differentiate 51450104*g**4 - 3660354 wrt g. 205800416*g**3 What is the second derivative of -190890452*p**3*t**2 + 204244*p**3 - 726*p**2*t wrt t? -381780904*p**3 Differentiate 142767*c**4 - 28*c**3 - 139548219 wrt c. 571068*c**3 - 84*c**2 What is the first derivative of -2*l**4 - 299*l**3 - 1222*l**2 + 3850452 wrt l? -8*l**3 - 897*l**2 - 2444*l Find the third derivative of 125156178*l**4 + 1280536584*l**2 wrt l. 3003748272*l What is the second derivative of h**2*j**2 + 29*h**2 - 20*h*j**2 + 37253*j**2 + 2240081*j wrt j? 2*h**2 - 40*h + 74506 Find the second derivative of 541758118*x**2 - 40699*x + 1626 wrt x. 1083516236 Find the first derivative of 6098*j*l + 21614677*j - 1528*l - 3 wrt l. 6098*j - 1528 Find the third derivative of 12*l**6 + 64047*l**4 + 2*l**3 - l**2 + 815*l + 5835 wrt l. 1440*l**3 + 1537128*l + 12 Find the second derivative of -5834*d**2*p**2 - 1059*d**2*p - d**2 - 47*d*p + 4*d + 1511*p**2 + 4 wrt d. -11668*p**2 - 2118*p - 2 What is the derivative of -a*b*i - 2*a*b*m - 63*a*b + 114*a*i*m - 2*a*i + 566375*b*i*m - 2*b*i - b - 2*i + 1271 wrt m? -2*a*b + 114*a*i + 566375*b*i What is the third derivative of 55041656*x**4 + x**2 - 16106576*x + 1? 1320999744*x Find the second derivative of -313548507*b**5 + 166360478*b wrt b. -6270970140*b**3 Differentiate -36*n**2 + 145070*n - 42519598 with respect to n. -72*n + 145070 What is the derivative of -6454784*l - 4421371 wrt l? -6454784 What is the third derivative of 120807952*f*q**2*x**3 + f*q**2*x**2 + f*q**2*x + 5*f*q*x**2 - 3*f*q*x + 13*f + 80*q**2*x**2 - x wrt x? 724847712*f*q**2 Find the first derivative of 3*m**3 - 5212*m**2 + 196*m + 154183099. 9*m**2 - 10424*m + 196 Find the first derivative of -714038*x + 603874543 wrt x. -714038 Find the second derivative of -85194895*g**3 - 999278301*g. -511169370*g What is the third derivative of 5*w**5 + 674*w**4 + 73*w**3 - 72734*w**2 + 3*w + 14 wrt w? 300*w**2 + 16176*w + 438 What is the second derivative of 5351*y**5 + 196*y**2 + 30449942*y wrt y? 107020*y**3 + 392 What is the second derivative of 37554*i*n*r**2 - 2*i*n*r + 56*i*n - 4*i*r**2 + i*r - 9*i - 109 wrt r? 75108*i*n - 8*i Find the first derivative of 4*y**3 - 2*y**2 + 44297*y - 29033579. 12*y**2 - 4*y + 44297 Find the third derivative of 25338137*j**6 - 10194*j**2 + 291. 3040576440*j**3 Find the third derivative of 43576*c*k**3*q - c*q + 2*k**4 - 1112*k**3*q + k**2*q - 6*k**2 + 347504*k*q + k wrt k. 261456*c*q + 48*k - 6672*q Differentiate 503900445*l - 651580717 with respect to l. 503900445 Differentiate -23043998*z**2 - 2*z + 141070353. -46087996*z - 2 Find the second derivative of 492*s**3*t**3 + 2*s**3*t - 3406*s**2*t**4 - 53*s*t - s + 231*t + 23 wrt t. 2952*s**3*t - 40872*s**2*t**2 Find the third derivative of 560623*x**6 - 2*x**5 - 6*x**3 + 18*x**2 + 5224*x + 19. 67274760*x**3 - 120*x**2 - 36 What is the second derivative of 15366063*n**4*t**3 + 2*n**2*t**3 - n*t**3 - 4*n + 23*t + 11861 wrt n? 184392756*n**2*t**3 + 4*t**3 What is the second derivative of 1217*b*c**2*z - 12*b*c**2 + b*c*z - 2*b*c + 2*b*z + 44*b + 399*c**2 - 423*c*z - z + 2 wrt c? 2434*b*z - 24*b + 798 What is the second derivative of -209952866*q*y**2 - 7*q*y + 20905065*y - 1 wrt y? -419905732*q What is the first derivative of -2*s*x**2 + s*x + 14062294*s + 231*x**2 + 806*x wrt x? -4*s*x + s + 462*x + 806 Find the third derivative of -121819*j**5 + 6*j**4*y**2 + j**3 - 12*j**2*y + 161*j*y**2 - 7*j wrt j. -7309140*j**2 + 144*j*y**2 + 6 What is the third derivative of 2*k**5
{ "pile_set_name": "DM Mathematics" }
**3 + (4*j + 2*j**2 - 4*j)*(-6*j + 3*j + j) + 445 - 163*j**3 - 445 + 2*j - 2*j + j**3 to c*j**3 + z*j**2 + x + t*j and give z. 0 Express -3084*a + 2 - 2 + 5090*a + 1 - 1 + a + (-2 + 0 + 0)*(-1 + 1 - 2*a) in the form d*a + s and give d. 2011 Express -96*z - 17*z**2 + 96*z + 3*z**2 + 7 - 7 + (4*z + 2*z - 4*z)*(4 - 4 - z) + (-2 + 2*z + 2)*(-3*z + 0*z + 2*z) as x*z + p*z**2 + u and give p. -18 Rearrange (-3*q**3 + q + 5*q**3 + 0*q)*(-1326 + 2068 + 3220 + 611) to the form p*q + x*q**2 + r*q**3 + t and give p. 4573 Express -426*h**2 + 837*h**2 - h - 442*h**2 in the form a + x*h + t*h**2 and give t. -31 Express -1 + 2*d + 172*d + 15*d + 145*d - 2*d**3 as c + y*d + u*d**3 + t*d**2 and give c. -1 Express (-1 + 1 + 4*x**3)*(-259 - 145 + 43 - 708 + 70) as l*x + p*x**3 + s + w*x**2 and give p. -3996 Express 37*i + 1416*i - 197*i in the form j + n*i and give n. 1256 Express 546*q**3 - 1089*q**3 + 536*q**3 - 3*q**2 - 5*q + 4*q**2 as c*q + x*q**3 + b + k*q**2 and give k. 1 Express 15227 - 9*y**2 - 10*y - 15227 as d*y**2 + r + m*y and give m. -10 Express 12 + 25*v - 12 + (-5*v - v + 4*v)*(-1 + 1 - 1 + (-2 + 4 + 0)*(0 + 1 - 3)) in the form i + q*v and give q. 35 Express -2*t**2 - 11 + 11 + (t**2 + 2*t**2 - 4*t**2)*(2 - 5 - 3)*(0 - 4 - 1) as d + l*t**2 + j*t and give l. -32 Express 84*f - 336*f - 116*f as q + a*f and give q. 0 Express t**2 + 1 + t**2 - 2 + (-4 + 0 + 1)*(-3*t**2 + 2*t**2 - t**2) - 3*t**2 + 4*t**2 + 15*t**2 in the form u*t**2 + i + c*t and give u. 24 Express -39037*f**4 + 2 - 7 + 39031*f**4 + f**2 in the form h + l*f**2 + u*f**4 + t*f + y*f**3 and give h. -5 Rearrange (2 - 4 + 4)*(0 + 3 - 4)*(75*r + 58*r - 2*r**2 - 1737 - 131*r) to the form j*r**2 + o*r + m and give o. -4 Rearrange (6 - 5 + 3)*(-6*x + 3*x + x)*(2 + 4 + 1)*(0 - 1 - 3) to the form d*x + t and give d. 224 Rearrange g**2 + 2*g**3 - 8*g**2 - 17*g**2 + g**4 + 2 - g to the form z*g + m*g**4 + b + u*g**3 + y*g**2 and give b. 2 Rearrange (1 + 0 - 2)*(-56*t + 3*t**2 + 16 + 18 - 35) to k*t**2 + f*t + d and give f. 56 Express 11*y**3 - 6*y**3 + 1 - 5*y**2 - 2*y + 0 + 0 as a*y**2 + t*y + c*y**3 + v and give v. 1 Rearrange (-2 + 6 - 2)*(-4*a + 195 - 110 - 95) to the form n*a + p and give p. -20 Rearrange (3 - 3 + 2*k)*(0*k - 3*k + 2*k + (6*k - k - 4*k)*(2 - 3 + 0) - 14 - 5*k + 14)*(-5*k + 2*k + k) to the form b*k**3 + n + a*k + z*k**2 and give a. 0 Express (2 - 7 - 6)*(126*j**2 + 352 - 352) as c*j**2 + t*j + m and give c. -1386 Express 508*g + 804*g + 111*g + 514*g - 349*g in the form b + f*g and give f. 1588 Rearrange -2*f**2 - 1075*f**3 + 552*f**3 + 2*f**2 + 2 + 557*f**3 to the form x*f + q*f**2 + k*f**3 + m and give q. 0 Rearrange -29*q**4 - 26*q**4 - q**2 - 78*q**3 - 33*q**4 + 85*q**4 to w*q + n*q**2 + s*q**3 + z*q**4 + j and give s. -78 Express (-16*v + 1 - 1)*(16 - 16 + 16) as f*v + l and give f. -256 Rearrange 2*w**3 + 1 + 0 + 2 - 2*w - 2 - w**3 + 2*w + (2*w**2 + 0*w**2 - w**2)*(-2*w - w - 3*w) to z*w + t*w**3 + d*w**2 + n and give n. 1 Express 9*p**4 + 0*p**2 + 9*p**4 + 2*p**2 - 2*p + 10*p**4 + 1 - 41*p**4 + 2*p**3 in the form h*p**4 + z + o*p**2 + d*p + c*p**3 and give z. 1 Rearrange -25 + 10*g - 23*g**2 - 8*g - 2*g - 8 to h*g**2 + u*g + y and give h. -23 Rearrange 6 - r + 2 - 10 - 3*r**3 to o + w*r + t*r**3 + u*r**2 and give w. -1 Express 777700 + 514*i - 777700 in the form v*i + h and give v. 514 Rearrange (9 - 3 - 1)*(-3*c - 7*c - 3*c) + (5*c - 4*c + c)*(-3 + 2 + 3) to the form d + y*c and give y. -61 Express (1 - 4 + 1)*(-7*r - 13*r - 4*r)*(0*r**2 - 2*r**2 - 2*r**2) as v + d*r**2 + j*r + u*r**3 and give u. -192 Express (-1 + 1 - 2*m)*(0 + 19 - 4)*(m - 3*m + m) + (4 - 4 + 2)*(3*m**2 - 3*m**2 - m**2) in the form h + w*m**2 + b*m and give h. 0 Rearrange 194 + 0*i + 116 + 2*i + 317 to the form d + a*i and give a. 2 Rearrange 354*j + j**4 - 4*j**3 - j**2 + 3*j**3 - 353*j to the form l*j**4 + i*j**3 + d*j**2 + q*j + z and give d. -1 Express (107 + 18*d - 107)*(2*d**2 + 5*d**2 - 4*d**2 + (-2 + 1 + 0)*(0*d**2 + 2*d**2 - 3*d**2)) in the form a*d + o*d**2 + w + t*d**3
{ "pile_set_name": "DM Mathematics" }
, -3 Put 4, -10, -2, 0 in decreasing order. 4, 0, -2, -10 Sort 10, 41, -6. -6, 10, 41 Sort 5, -3, 29, 4, 12 in increasing order. -3, 4, 5, 12, 29 Sort -4, 5, -2, -3, 21 in ascending order. -4, -3, -2, 5, 21 Put 4, -19, -8, -3 in descending order. 4, -3, -8, -19 Put -3, -2, -291, -1 in decreasing order. -1, -2, -3, -291 Sort 0, -5, 35, -1 in decreasing order. 35, 0, -1, -5 Sort 8, -5, 9, -2 in decreasing order. 9, 8, -2, -5 Sort 1, 8, 3 in decreasing order. 8, 3, 1 Sort -73, -2, -0.5, 0.1 in ascending order. -73, -2, -0.5, 0.1 Sort -2, 2, -7, 28 in ascending order. -7, -2, 2, 28 Sort 4, 22, -1/8, -5 in ascending order. -5, -1/8, 4, 22 Sort -10/7, -3, 1 in descending order. 1, -10/7, -3 Sort 3, 0, 28 in increasing order. 0, 3, 28 Sort -2, 5, 51, -29. -29, -2, 5, 51 Sort 4, -3, 0.3, 3/5 in descending order. 4, 3/5, 0.3, -3 Sort -1, 4, -148 in descending order. 4, -1, -148 Sort 4, 0.5, -5, 2.7 in ascending order. -5, 0.5, 2.7, 4 Put -25, -1, 7 in decreasing order. 7, -1, -25 Put 4, -5, -14, -0.1 in decreasing order. 4, -0.1, -5, -14 Sort -0.4, 1/3, -13, -1/4 in descending order. 1/3, -1/4, -0.4, -13 Put 153, 4, 2 in increasing order. 2, 4, 153 Put 15, 9, -4, 1 in decreasing order. 15, 9, 1, -4 Sort 6, -0.3, -2/27, 0.5 in decreasing order. 6, 0.5, -2/27, -0.3 Put -2, 26, -5, -1 in increasing order. -5, -2, -1, 26 Put 2, 0.2, 5, 312, -1 in increasing order. -1, 0.2, 2, 5, 312 Put 3, 34, -2, -3, 4 in ascending order. -3, -2, 3, 4, 34 Sort -5/3, -2, 0.09, -3 in decreasing order. 0.09, -5/3, -2, -3 Put 52, 0, 80 in ascending order. 0, 52, 80 Put 12, -1, -3, 4, -4 in increasing order. -4, -3, -1, 4, 12 Put 1, -1, -6, 4 in descending order. 4, 1, -1, -6 Sort -1, 2, 6, -15, 3 in ascending order. -15, -1, 2, 3, 6 Sort 2, -1, 1, -4. -4, -1, 1, 2 Sort 285/7, 5/6, -1.5. -1.5, 5/6, 285/7 Sort -3, 441, 3 in increasing order. -3, 3, 441 Put 79, 2, 0, -3 in increasing order. -3, 0, 2, 79 Sort -0.5, -1.7, -1/3, 8, 2 in increasing order. -1.7, -0.5, -1/3, 2, 8 Put -499, 2, -4, 0, 3 in descending order. 3, 2, 0, -4, -499 Put 0, -5, -129 in decreasing order. 0, -5, -129 Put 3, -34, 0.1, 5/2 in descending order. 3, 5/2, 0.1, -34 Put 2/9, 23, 5, -2/11 in decreasing order. 23, 5, 2/9, -2/11 Sort -58, 3, -14 in decreasing order. 3, -14, -58 Put -5, -48, -3, -2 in ascending order. -48, -5, -3, -2 Sort -2, 84, -4 in increasing order. -4, -2, 84 Put 2, 6, -0.08, 1/2, -1 in descending order. 6, 2, 1/2, -0.08, -1 Put 18, -3, 2, 5, -4 in increasing order. -4, -3, 2, 5, 18 Put 2/9, 0.5, -0.103, 12, -2/9 in decreasing order. 12, 0.5, 2/9, -0.103, -2/9 Sort -1, -449, -5 in descending order. -1, -5, -449 Put 0, -5, 37 in descending order. 37, 0, -5 Sort 1/3, -21, -3, 0.01 in increasing order. -21, -3, 0.01, 1/3 Put 0, -0.5, 1/3, -4, 0.1 in decreasing order. 1/3, 0.1, 0, -0.5, -4 Sort 60, 4, -4 in increasing order. -4, 4, 60 Sort 2/3, 4, -7 in ascending order. -7, 2/3, 4 Put 0, 2, 7, 3 in increasing order. 0, 2, 3, 7 Sort 1/13, -1/5, 0, 1/23 in decreasing order. 1/13, 1/23, 0, -1/5 Put 5, -0.21, 0 in decreasing order. 5, 0, -0.21 Put -2, 10, 1, -1 in descending order. 10, 1, -1, -2 Put -0.2, 4, 0.2, -1036 in decreasing order. 4, 0.2, -0.2, -1036 Sort 0, 4, 1, 9 in descending order. 9, 4, 1, 0 Sort -2, -4, 2/45, -1, -3/7 in ascending order. -4, -2, -1, -3/7, 2/45 Put -5, 0, 76 in decreasing order. 76, 0, -5 Sort -9, -2, 0.1, 2/7. -9, -2, 0.1, 2/7 Sort -0.1, -123, -1. -123, -1, -0.1 Sort -1, 26, -4, 2, 0 in descending order. 26, 2, 0, -1, -4 Put -0.3, -2/5, 5/4, -10/9 in decreasing order. 5/4, -0.3, -2/5, -10/9 Put 1, -3, -1, 3 in descending order. 3, 1, -1, -3 Sort -4, 9, -5 in descending order. 9, -4, -5 Sort 105, -2, -0.4. -2, -0.4, 105 Put 4, 2, -1, -217 in descending order. 4, 2, -1, -217 Put 1.5, -2, 0.4, 1 in decreasing order. 1.5, 1, 0.4, -2 Sort -1371, -3/4, 8 in ascending order. -1371, -3/4, 8 Sort 1, -5, -16 in ascending order. -16, -5, 1 Put -24, 56, 0 in descending order. 56, 0, -24 Sort -1, 2/7, 2/3, -150 in increasing order. -150, -1, 2/7, 2/3 Sort 2, 0, -11, -4 in ascending order. -11, -4, 0, 2 Put 3/4, 9, -2/11 in descending order
{ "pile_set_name": "DM Mathematics" }
3*c + 8*c - 15 = -3*z, -3*c + 3*z = -9. Give c*h(y) - 4*r(y). y - 3 Suppose l - 3*l - 2 = 0. Let s = l + -6. Let y(h) = -7*h**2 - 5*h - 7. Let k(z) = 10*z**2 + 7*z + 10. Give s*y(f) - 5*k(f). -f**2 - 1 Let o(z) = -1. Let g(v) = v + 11. What is -g(i) - 4*o(i)? -i - 7 Let o(u) = -9*u - 3. Let k(i) = 18*i + 5. Determine -2*k(x) - 5*o(x). 9*x + 5 Let s(v) = 3*v - 1. Let l(g) = -g. Let n be 10*(6/(-10) - -1). Suppose -5*i = 4 - 9. What is i*s(c) + n*l(c)? -c - 1 Let q(g) = -g**2 + 3*g. Let m be (1 + 5)/((-6)/(-68)). Suppose -136 - m = -3*t. Suppose b + b = t. Let o(r) = 6*r**2 - 17*r. What is b*q(h) + 6*o(h)? 2*h**2 Let a(o) = 13*o + 7. Let l(q) = 4*q - 3*q - 10*q - 5. Calculate 5*a(w) + 7*l(w). 2*w Let t(q) = -2*q**2 - 4. Let v(g) = g**2 + 5. Calculate 3*t(x) + 2*v(x). -4*x**2 - 2 Suppose 5 + 5 = 3*o + m, -5*m - 25 = 0. Let v = -10 + o. Let p(i) = i - 4. Let a(l) = -4*l - l + 5 + 4*l. What is v*p(r) - 4*a(r)? -r Let h be -2 + 150/(-39) + (-2)/13. Let w(o) = 5*o - 6. Let s(z) = -30*z + 35. Calculate h*s(c) - 35*w(c). 5*c Let d(s) = s + 1. Let r(p) = -7*p**2 - 7*p - 1. Let a(m) = -m**2 - m. Let c(x) = -6*a(x) + r(x). Let u = -41 - -42. Calculate u*d(j) + c(j). -j**2 Let q(r) = 16*r**3 + 10*r**2 - 4*r - 10. Let o(m) be the second derivative of m**5/4 + m**4/4 - m**3/6 - 3*m**2/2 + m. What is 10*o(j) - 3*q(j)? 2*j**3 + 2*j Let d(u) = -5*u**3 + 12*u**2 + u + 2. Let a(r) = 9*r**3 - 25*r**2 - r - 3. Determine 3*a(t) + 5*d(t). 2*t**3 - 15*t**2 + 2*t + 1 Let y be (0 + 1)/(-2)*-2. Let o(g) = 0*g + y + 0 + g. Suppose -5*x + 45 = 2*a, -x + 5*x = -2*a + 40. Let f(z) = -3*z - 2. What is a*o(b) + 4*f(b)? -2*b + 2 Let b = 275 + -286. Suppose i - 4 = -i. Let l(c) = i*c + 4*c - 2*c. Let h(m) = 7*m. Calculate b*l(o) + 6*h(o). -2*o Let h(x) = 9*x + 4. Let a(u) be the second derivative of 4*u + 0 + u**2 + 2/3*u**3. What is 5*a(d) - 2*h(d)? 2*d + 2 Let k(v) = -2*v**3 + 6*v**2 + 4*v + 6. Let l(r) = r**2 + r + 1. Give -2*k(b) + 12*l(b). 4*b**3 + 4*b Let u(o) = -7*o**3 + 2*o**2 + 2*o + 2. Let l(h) = 155*h**3 - 45*h**2 - 45*h - 45. Calculate 4*l(g) + 90*u(g). -10*g**3 Let b(h) = -1. Let q(z) = -27*z - 108. Give -108*b(j) + q(j). -27*j Let u(a) = 2*a**2 - 2*a + 3. Suppose 2 = 2*c - 4*l, 0 = -2*c - 3*c + 2*l - 3. Let o(p) = -1. Calculate c*u(y) - o(y). -2*y**2 + 2*y - 2 Let d(q) = -38*q + 33*q + 11 + 18*q. Let k(r) be the second derivative of r**3 + 5*r**2/2 + 2*r. What is -4*d(p) + 9*k(p)? 2*p + 1 Let z(t) = 11*t**2 + 8*t - 6. Let s(o) = 12*o**2 + 5*o + 1. Let m(u) = -u**2 - 1. Let n(v) = 5*m(v) + s(v). What is 8*n(g) - 5*z(g)? g**2 - 2 Let j(d) = -14*d - 5. Let k(i) = -6*i**3 + 2*i + 1. Let h be k(-1). Let o(c) = -9*c - 3. What is h*j(b) - 8*o(b)? 2*b - 1 Let s = -10 + 5. Let p(k) = -2*k**3 - 5*k**2 + 5. Suppose 0 = -5*r - 3*m + 22, m = 5*r - 3 - 3. Let h(i) = -i**3 - 2*i**2 + 2. What is r*p(v) + s*h(v)? v**3 Let m(n) = n. Let g(y) = -5*y. Determine -5*g(l) - 5*m(l). 20*l Let g(w) = -5 - 3*w + 5*w + 0*w. Let x(j) be the second derivative of -5/6*j**3 + j + 7*j**2 + 0. Give 11*g(c) + 4*x(c). 2*c + 1 Let w(h) = h + 6. Let a be ((-1)/(7 - 6))/((-2)/2). Let d(v) = -3. Let u(i) = -16. Let f(c) = -11*d(c) + 2*u(c). Give a*w(o) - 6*f(o). o Let v(i) = -i**3 + i**2 - 3. Let b be v(0). Let o(a) = a - 1. Let d(g) = 2*g - 1. Give b*d(p) + 4*o(p). -2*p - 1 Let i(d) = -2*d + 1. Let t(b) = -3*b + 1. Let s(r) = 10*i(r) - 6*t(r). Let v(j) = -3 + 2 - j + 3. Give -4*s(q) + 7*v(q). q - 2 Suppose -3*z - 2 = -4*i + 6*i, 3*i - 14 = 4*z. Let j(h) = 4*h**3 - 7*h**2 + 7*h. Let a(y) = y**3 - 2*y**2
{ "pile_set_name": "DM Mathematics" }