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107488 * -0.06 -6449.28 -0.0717*-88 6.3096 15*30382 455730 Multiply -0.179 and -65. 11.635 Work out 1763 * 90. 158670 Multiply -0.35439 and 3.5. -1.240365 -1.39119 * -0.2 0.278238 Work out 0.180319 * -0.09. -0.01622871 Work out 14 * -0.13969. -1.95566 Work out -259 * -0.4001. 103.6259 461 * -0.326 -150.286 10*-4928 -49280 Product of 0.4 and -11.8515. -4.7406 -138 times -803 110814 Product of 30.06167 and 4. 120.24668 -46*0.0542 -2.4932 Calculate 122.459*-0.5. -61.2295 What is the product of -16 and -1139? 18224 What is -24515 times -2? 49030 Calculate 18.91*-121. -2288.11 Calculate 2809*10.7. 30056.3 Work out 0.902 * 0. 0 36*1732 62352 What is 0.1 times 0.0554? 0.00554 Product of 4 and 48418. 193672 0.07 * 22602 1582.14 Work out -201 * 61. -12261 Work out -1450039 * -0.5. 725019.5 Product of 15.177 and -0.3. -4.5531 0.04064 * 16 0.65024 0.3369 times -19.1 -6.43479 -12073 times 0.0082 -98.9986 Product of -1.2 and -10.63. 12.756 What is 269591 times 0.5? 134795.5 Calculate 0.3*-6.60867. -1.982601 What is the product of 7 and 5348? 37436 Product of 22.2973 and 0. 0 What is the product of -0.02 and -1081? 21.62 Calculate 0.1*-8877. -887.7 Work out 0.19 * -98269. -18671.11 -1508*-0.9 1357.2 What is the product of 7.671 and 0.102? 0.782442 What is -261 times -453? 118233 0.135161 * 4 0.540644 Work out 81449 * -3. -244347 -35.18*54.7 -1924.346 -261401*-2 522802 Work out -3047 * -0.37. 1127.39 -0.0098 times 481 -4.7138 Product of -0.11 and 365856. -40244.16 652 * -1.24 -808.48 Work out -70149 * -0.4. 28059.6 Work out 55 * 0.76. 41.8 Multiply 203 and -0.7703. -156.3709 -47 * 1044 -49068 Calculate -1.0058*30. -30.174 -74 * 100729 -7453946 -42.84 * 12 -514.08 6 times 2900.22 17401.32 Product of -0.603033 and -0.2. 0.1206066 -132.03 * -3.3 435.699 358642*-1 -358642 Work out 0.2 * 2160. 432 What is 2 times 66559? 133118 -6666762*0.1 -666676.2 1901370 * 5 9506850 Calculate -0.1*-2940. 294 Work out -187 * -4057. 758659 219.9*12.69 2790.531 -0.4 times -236.263 94.5052 Product of -0.026278 and 39. -1.024842 Calculate 901*-0.002. -1.802 What is the product of -312.98 and -4? 1251.92 Product of 216.625 and 0.27. 58.48875 What is 324724 times -2? -649448 What is the product of -96 and 0.02372? -2.27712 Calculate 86*2500. 215000 -6.9 times 2.41 -16.629 Calculate -89920*0.1. -8992 114.6 times -0.082 -9.3972 What is 2335001 times 2? 4670002 Calculate 2064*-718. -1481952 Product of 7 and 1522.5. 10657.5 Product of -0.28113 and -14. 3.93582 Work out 112 * 2977. 333424 -123331 * 0.21 -25899.51 Calculate 0.014*-12668. -177.352 Work out 3 * 1.5801. 4.7403 Multiply -0.2 and -0.000631. 0.0001262 0*72870 0 0*-92892 0 Work out -0.48 * 0.0625. -0.03 0.21*-15483 -3251.43 What is -7.687 times -284? 2183.108 Product of -144 and -461. 66384 484 * 365 176660 Multiply -0.112 and 11.5. -1.288 Multiply 0.1 and 16.456. 1.6456 What is the product of -145242 and 0.3? -43572.6 Product of 0.05 and -4406. -220.3 What is the product of -170.34 and 5? -851.7 10972*3 32916 -24 * 33.5 -804 Multiply -0.0006 and 0.6. -0.00036 130.2 * -8 -1041.6 1 times -272081 -272081 Multiply -5 and 193465. -967325 1.7 * -451 -766.7 0.032246 * -12 -0.386952 Multiply 272 and -1566. -425952 What is -5754.6 times 0.01? -57.546 What is the product of -819 and 0.382? -312.858 Work out 0.2 * 16007.5. 3201.5 5*-3.42 -17.1 Multiply 26.1 and -76.58. -1998.738 What is the product of 362.59 and -0.046? -16.67914 -2615 times 0.8 -2092 Multiply 412 and -0.96. -395.52 Calculate 3*0.0525007. 0.1575021 What is 140 times -0.52? -72.8 Product of -2607 and -0.09. 234.63 What is 0.5348 times 61? 32.6228 Product of 0.1 and -104607.5. -10460.75 What is the product of 6 and 0.001? 0.006 What is the product of 823279 and 2? 1646558 -0.2*79172 -15834.4 Calculate -52*24.2. -1258.4 3 * -3885.1 -11655.3 Product of -0.12 and -126.954. 15.23448 Product of -3 and -299410. 898230 What is the product of 43.07 and -0.02? -0.8614 0.03856*-0.224 -0.00863744 Work out -0.3 * -22354. 6706.2 What is 0.17 times 0.0293? 0.004981 -183700 times 0 0 What is the product of -0.4 and -1825.75? 730.3 What is 2137887 times -0.1? -213788.7 Multiply -11.4 and 7038. -80233.2 Multiply 8349 and -15.8. -131914.2 What is the product of -80 and 4.47? -357.6 -0.5*-323805 161902.5 Calculate -0.01*-465. 4.65 Calculate -0.16*216. -34.56 Work out 3.5326 * 5. 17.663 What is the product of 0.2 and 241630? 48326 What is the product of 76218 and -0.5? -38109 -189068 * 0.06 -11344.08 What is the product of -26.5 and -0.069? 1.8285 Product of -5.14 and -179. 920.06 -0.02 times -0.097 0.00194 Work out -0.052 * 2525. -131.3 Work out -0.4 * 18435. -7374 23 * 0.0063 0.1449 What is the product of 781483 and -0.4? -312593.2 Work out -0.2 * 3452. -690.4 Product of -359.09 and -2. 718.18 52772 times -0.02 -1055.44 What is the product of -7 and -78.19? 547.33 What is the product of 2 and 0.8724? 1.7448 Work out 4232 * -0.4. -1692.8 What is the product of 48.8 and 2? 97.6 Calculate -20*0.74. -14.8 1.2273 times 0.1 0.12273 Work out -2.008 * -5.5. 11.044 Multiply 1654876 and 0.5. 827438 0.24*11259 2702.16 Multiply -36.8 and -263. 9678.4 What is the product of -0.15 and 14.403? -2.16045 Work out 2143.55 * -0.1. -214.355 Work out 0 * 134273. 0 What is 0.4 times 1090.56? 436.224 What is 0.3 times -7.9781? -2.39343 Multiply -4 and -2212.8. 8851.2 8108*-1.25 -10135 What is the product of -116 and 289? -33524 -19 times 1064 -20216 What is -4 times 23.201? -92.804 Multiply 39 and -186.2. -7261.8 Product of -0.06437 and -9. 0.57933 What is the product of 15 and 111901? 1678515 What is 39297 times -1.4? -55015.8 What is the product of -220.47 and -0.2? 44.094 -3 * 44107 -132321 Multiply -13 and 3006. -39078 Calculate 34*-3.719. -126.446 34 * 34114 1159876 What is the product of 0.17 and 106991? 18188.47 Calculate -1731*12. -20772 3*-1280 -3840 What is -0.3 times 39337? -11801.1 22.395*7 156.765 -54067 * -0.3 16220.1 Multiply -0.3 and 0.93. -0.279 Work out 243383 * 0.5. 121691.5 Product of 1408557 and 0.5. 704278.5 404.4 times -126.6 -51197.04 0.14 times -103.67 -14.5138 -4070*-25 101750 -14.2*111 -1576.2 Product of -0.125307 and -1. 0.125307 0.5 * -1.5556 -0.7778 What is the product of -778 and 1.59? -1237.02 What is -0.1 times -177864? 17786.4 100583 * -0.4 -40233.2 0.2 * 0.422984 0.0845968 -129 times 163 -21027 Work out 66186 * 0.4. 26474.4 Product of 0.1491 and -0.347. -0.0517377 What is the product of -0.084 and -0.1181? 0.0099204 -1113 times -0.03 33.39 Product of 248 and 3357. 832536 Product of 2 and -5432.6. -10865.2 5 * -882.65 -4413.25 5 * 31197 155985 -62 * -4232 262384 0 times -171796 0 Calculate 3.0354*-0.4. -1.21416 Calculate -6*7285. -43710 -0.01 times -41325 413.25 -0.37126 * -19.7 7.313822 What is -0.41 times 2053? -841.73 Work out 3 * -30.829. -92.487 -0.0308 * -5 0.154 229760 times -0.03 -6892.8 Product of 1849 and -2305. -4261945 Work out -38 * 83.1. -3157.8 What is -0.1 times 686962? -68696.2 Calculate -618*-2436. 1505448 What is -5 times -22743? 113715 -2.16955 * 4 -8.6782 0.026*-0.889 -0.023114 -7883.54*-0.02 157.6708 Multiply -300 and -439. 131700 What is -0.222 times -0.066? 0.014652 -0.5 times -526685 263342.5 Multiply -205.77 and 51. -10494.27 0.1096768 times -0.1 -0.01096768 What is -0.175022 times -5? 0.87511 47445 * -0.3 -14233.5 Calculate 21*37254. 782334 Product of -110 and -132. 14520 Product of 0.1 and -82.7908. -8.27908 1379 times -49 -67571 What is the product of -0.705 and 0.014? -0.00987 Multiply 5.35 and 0.2193. 1.173255 What is the product of 3619 and -15? -54285 Product of 0.24 and -0.339. -0.08136 Calculate 0.58*-0.6918. -0.401244 1962.6 * 1 1962.6 What is 1.2039948 times -0.3? -0.36119844 Calculate 2*-3.69. -7.38 What is the product of 0.023 and -595? -13.685 -3563 times 0.53 -1888.39 What is the product of 2951.5 and 0.2? 590.3 2*3497 6994 Multiply 54.8 and -0.63. -34.524 14460 times -0.35 -5061 What is 6449 times -0.01? -64.49 Calculate 1000.009*-0.7. -700.0063 Multiply -0.4 and -0.013595. 0.005438 Multiply -0.0223 and 406. -9.0538 10121.2 * 2 20242.4 Calculate -20.78*0.05. -1.039 Product of 6.1 and -11108. -67758.8 Calculate -2061*-432. 890352 Multiply -30760.5 and -0.1. 3076.05 What is 0.771 times 0.0047? 0.0036237 What is -184185 times 0? 0 0.08741 * -26 -2.27266 What is 18 times 0.17932? 3.22776 0.3*6596 1978.8 What is 1398945 times -1? -1398945 Product of 9 and 0.128995. 1.160955 Product of 5537 and -4. -22148 Multiply -317.5 and -328. 104140 -293686*-0.5 146843 What is the product of 868 and -81? -70308 118.1*-0.4 -47.24 -3617.954 times 0.5 -1808.977 What is the product of -1.5 and -3907? 5860.5 Calculate -0.039*1.27. -0.04953 0.1*3384.3 338.43 What is -1.127 times -1125? 1267.875 What is the product of -1.6505 and -0.3? 0.49515 What is the product of -9 and 27880? -250920 Work out 0.15 * 9267.5. 1390.125
Suppose -125 = -2*n - 3*n. Suppose l + 2*l + 3*m = 117, 0 = -2*l - 5*m + 75. Let a = l - n. Solve 0*d = -5*d + a for d. 3 Let y be 1 + (-2)/((-2)/1). Let w = 4 - y. Suppose w*a = 2*c - 7*c, a + 5 = -5*c. Solve -a*u = 9 + 1 for u. -2 Suppose t = 5*h + 34, h - 2*t = t - 18. Let m(g) = g**3 + 6*g**2 + 4. Let i be m(h). Suppose 0 = n - 3*n + 30. Solve -d + i*d = n for d. 5 Let r be 30/40*16/6. Solve 0*a - r = 2*a for a. -1 Suppose 2*d = -3*d + 30. Let t = 8 - d. Solve v + t*v = 0 for v. 0 Let l = -2 - -2. Suppose l = -8*m + 4*m - 32. Let o(q) = -q**2 - 8*q. Let h be o(m). Solve h*u = -u + 3 for u. 3 Suppose -32 = -4*k - 0*k. Let o = 18 - k. Solve o = 4*l - 10 for l. 5 Let g = 77 + -74. Solve -g*y + 4*y = 0 for y. 0 Let z(d) = -d**2 - 19*d - 18. Let a be z(-18). Solve a = -5*o + 3*o - 4 for o. -2 Let b(h) be the third derivative of h**4/6 - h**3/2 - 23*h**2. Let u(p) = -p**2 + 5*p - 2. Let v be u(4). Let y be b(v). Solve 6 = y*r - 3*r for r. 3 Let t(k) = k + 1. Let v(f) = -f**2 - 9*f - 10. Let u be v(-7). Let y be t(u). Suppose y*l - 13 = 2. Solve -l*c = -7 + 1 for c. 2 Let g(r) = r**3 - r**2 + 9. Let u be g(0). Let k = -7 + u. Suppose k*m - 3*m = -5. Solve m*i - 13 = -3 for i. 2 Suppose -9 = 4*m - 29. Suppose r - 5 = n, -15 - 13 = -m*r + 2*n. Solve r = h + 2*h for h. 2 Let q(v) = 2*v**2 - 5*v - 4. Let p be q(4). Let l be 12/16 + 50/p. Suppose u = c + 2*u + 1, 5*c - 5 = 5*u. Solve c = -4*z - 1 - l for z. -2 Let j(z) = z + 2. Let c be j(-5). Let k be (c - -30)*(-1)/(-3). Solve k*i = 4*i for i. 0 Let f(k) = -k**2 + k - 3. Let h(w) = -4*w**2 + 3*w - 9. Let m(s) = -7*f(s) + 2*h(s). Let v be (-1)/(-4) - (-1)/(-4). Let c be m(v). Solve o + 8 = c*o for o. 4 Let c(w) = -13*w + 2*w**2 + 10 - 3 + 3*w. Let d be c(6). Suppose 10 = -s + 4*x, 0*s + 3*x - d = -5*s. Solve s*f - 7 = 3 for f. 5 Let p be ((-36)/(-16))/((-2)/8). Let w(o) = -o - 7. Let g be w(p). Let n(t) = 2*t - 3. Let i be n(3). Solve -i = -g*q - 1 for q. 1 Let o = 2 + 2. Let r be ((-6)/o)/(1/2). Let p(g) = -g. Let t be p(r). Solve -t = -2*h + 5 for h. 4 Let j(a) = -a**3 - 6*a**2 + 5*a + 1. Let z = 18 + -25. Let k be j(z). Solve 0 = -0*r + 3*r - k for r. 5 Let x be 8*1 + -1 - -1. Let a be 5/2*x/5. Suppose s + s = a. Solve -s*n + 10 = 4 for n. 3 Let i be 2/(-6)*(-96)/8. Let x(s) = s**3 + 2*s**2 + s + 2. Let a be x(-2). Let h = a - -3. Solve n = i*n + h for n. -1 Let i = -13 + 18. Solve i = -5*f + 30 for f. 5 Suppose -4*z + 16 = 0, 4*z - 2 - 54 = -5*s. Let m(g) = -2*g + 12. Let l(u) = 4*u - 24. Let r(w) = -4*l(w) - 9*m(w). Let c be r(s). Solve c = 5*a + 24 for a. -4 Suppose 3*g + 9 + 57 = 0. Let c = 37 + g. Solve -1 = -4*y + c for y. 4 Let x(o) = o**3 - 5*o**2 + 5*o + 1. Let l be x(4). Let a = 0 - 0. Suppose a = -l*k - 3*v + 36, -2*k - v + 4 = -5*v. Solve -k*h + 2*h = 20 for h. -5 Let t be 0/1 + 0 + 0. Suppose 16 = 4*i, -4*l - 5*i = -2*l - 8. Let c be (-3)/(l/(-8)*-2). Solve t = -4*g - c - 6 for g. -2 Let j(y) = -y**2 - 10*y - 14. Let t be j(-8). Solve -t*f - 16 = 2*f for f. -4 Suppose c + c - 5*l + 9 = 0, 3 = c + 5*l. Let o = c + 7. Solve 2*y - o*y = 0 for y. 0 Let j(m) = -m**2 - 8*m - 8. Let a be j(-7). Let o(q) = 4*q**2 - 1. Let n be o(a). Solve -1 = -2*v + n for v. 2 Let l(b) = 2*b + 7. Let c(h) = 2*h + 7. Let t(p) = -4*c(p) + 3*l(p). Let q be t(-5). Let o = 7 - q. Solve 9 = o*r + 1 for r. 2 Let j(y) = -y - 4. Let b be j(-7). Suppose 32 = b*p - 2*d, 9*d - 15 = -2*p + 4*d. Suppose 2 = -3*g + 14. Solve -g*r - r = p for r. -2 Suppose 5*a + 5*r - 10 = 0, -2*a - r = -6 + 3. Suppose 0 = 3*w - a - 29. Suppose 16 = 2*d - 5*q, -2*q - w = -4*d + 2*d. Solve -1 = -d*i - 7 for i. -2 Let n(b) = b**2 + 9*b - 12. Let h be n(-11). Solve 6*t - h = 2 for t. 2 Let u = -5 - 0. Let t = 7 + u. Let v be (-6 + 2 + -1)*-2. Solve 0*j - t*j = -v for j. 5 Suppose -13*l + 69 = -48. Solve l*r = 12*r + 9 for r. -3 Let s(c) = 11*c + 1. Let p be s(1). Let v be ((-4)/p)/((-2)/36). Solve -v*x = -4*x + 10 for x. -5 Let s(j) = -2*j - 4. Let c be s(-4). Solve 5 + 11 = c*y for y. 4 Suppose 7*g = 8*g - 2. Let h(p) = -p**3 - 8*p**2 + 7*p - 13. Let n be h(-9). Suppose 4 + 46 = n*f - 5*o, 2*f + 2*o - 8 = 0. Solve -f = g*a + 1 for a. -4 Let d(s) = -s + 4. Let r be d(2). Solve -3*o + r = -1 for o. 1 Let z be (-3 - 3)*4/(-6). Suppose 5 + 11 = z*p. Solve -3*q + 19 = p for q. 5 Suppose -f = 3*p + 5, 3*f + 0 = -5*p - 15. Suppose -5*x - 2 + 17 = p. Solve 3*b + 0*b = -x for b. -1 Let a(s) = 2*s**2 - 5*s + 5. Let l be a(2). Solve -5 = -l*o + 7 for o. 4 Suppose -2*l + 6 = l. Suppose -n = -l - 18. Solve 0 = -3*w - w + n for w. 5 Suppose -b + 5*i - 10 = 0, 3*b - 7 - 3 = -5*i. Suppose 2*o = 5*s - 0*o - 20, -3*s + 3*o + 12 = b. Suppose -4*w + 20 = w. Solve 5*c = w*c - s for c. -4 Let c = 5 - 10. Let n(a) = a**3 + 4*a**2 - 7*a - 4. Let o be n(c). Suppose 0*r = -3*r + o. Solve 0*l = r*l - 4 for l. 2 Let b(w) = w**3 - 9*w**2 + 5. Let u be b(9). Solve -z = -u*z + 20 for z. 5 Suppose 0*v - 5*v = 80. Let s = v + 16. Solve w - 3*w = s for w. 0 Let c(s) = 20*s**2 + 33*s + 18. Let m(p) = -7*p**2 - 11*p - 6. Let w(i) = -6*c(i) - 17*m(i). Let x be w(-10). Solve -v + 20 = x*v for v. 4 Let n(h) = h**2 + 3*h. Let r be n(-4). Let c = 0 + r. Solve c*v = -1 - 3 for v. -1 Let m be 2/8 + 86/8. Let d(p) = -p**2 + 11*p. Let c be d(m). Solve -i = -c - 5 for i. 5 Suppose 3 = 4*f - 5. Suppose -2*a + 2 + f = 0. Solve -a*c - 4 = -6 for c. 1 Suppose -11 = -4*u + 45. Suppose -4 = 5*a - u. Solve -1 = -a*n + 9 for n. 5 Let x(f) = -2*f - 10. Let s be x(-5). Solve -3 = -m - s*m for m. 3 Let s(b) = 3*b**2 + 6*b + 6. Let c be s(-2). Solve -u = -c*u + 20 for u. 4 Suppose -17 = -3*d + 28. Suppose 24 = 3*r - 5*u, -3*r + 4*u + 9 = -d. Solve r*i - 4*i = 0 for i. 0 Suppose -3*n - 5*p + 4*p - 48 = 0, 5*p = -5*n - 70. Let w = 8 + n. Let v be 2/3 - (-6)/w. Solve -r + 0 - 2 = v for r. -2 Suppose -2 = -2*n - 0*n. Let r(m) = -9*m + 0 + 18*m - 10*m + 1. Let u be r(n). Solve 3*l + 0*l - 6 = u for l. 2 Let l = 24 - 22. Solve -1 = -l*q - 3 for q. -1 Let j be 14/42 - 28/(-6). Solve -15 = -j*w - 0 for w. 3 Let r be ((-12)/10)/(4/(-10)). Suppose -2*f + r = -7. Let w be ((-20)/8 - (4 - 5))*-4. Solve 3*g - f*g + w = 0 for g. 3 Let f = -33 + 38. Solve -f*i = -i + 20 for i. -5 Let m be 1/((27/84)/9). Let t = -2 + 3. Let y(r) = 8*r**3 - r**2 + r. Let s be y(t). Solve -m = 4*o - s for o. -5 Let r be -11 + (5 + -3 - 1). Let u be (r + 17)*(-4)/(-14). Solve -l = u*l for l. 0 Let v be 1 - (0 + (-1 - 1)). Let x(u) = -u - 5. Let o be x(-6). Solve -v = a - o for a. -2 Suppose r = -2*k + 7, k - 3*r = -4*k + 12. Suppose 0*h + k*h + 3*w = 18, -w + 4 = -h. Let y be (2*h)/(4/40). Solve 0*c - 5*c - y = 0 for c. -4 Suppose -2*v + 0*q = 2*q - 20, 20 = 5*q. Solve -x - 2 = -v for x. 4 Let n = 19 + -9. Suppose -c = 4*c + n. Let h be (-7)/(-4) + c/(-8). Solve -h - 4 = 3*d for d. -2 Let w be 2/10 + (-19)/(-5). Suppose w*v - 3 = 1. Solve v = -4*b - 3 for b. -1 Suppose -7*l = -11*l + 4. Solve 0 = b - 3 + l for b. 2 Let p be (-1 - 13)/(-2) - 3. Suppose d = -3*d + p. Solve 0*j - j = d for j. -1 Suppose 14 = 4*b - 2*b. Suppose -8 = -b*k + 3*k. Solve -2*g = -k - 0 for g. 1 Let y(p) = -p**3 - 4*p**2 + 3*p. Let a be y(2). Let k = a - -28. Solve 8*u = 3*u - k for u. -2 Let x = -3 + -5. Let m = 13 + x. Solve m*o - 8 = -28 for o. -4 Let t(n) = 5*n**2 + 9*n - 2. Let p(d) = -d**2 - 1. Let h(f) = -6*p(f) - t(f). Let b be h(8). Solve 3*k + 4 - 13 = b for k. 3 Suppose u = -u + 4*g - 4, 2*u - 2 = -2*g. Let q = u + 2. Suppose 4*b = -4*p + 28, -4 = 4*b - q*p - 2*p. Solve -b*s + 0 = -9 for s. 3 Let j be (0 - 3) + (-35)/(-5). Suppose 0 = -3*s + 6 - 18, -n + 27 = -5*s. Let t = n - 4. Solve 0 = 2*h - t*h - j for h. -4 Suppose -h = 4*h - 20. Suppose 4*r = -n + h*n + 16, 3*r - 12 = n. Solve 1 = z + r for z. -3 Let a(l) = l + 10. Let h be a(-7). Suppose g = 5*t + 15, h*g - 3*t = 2*g + 11. Suppose -g*z + 12 = -13. Solve y = 2*y + z for y. -5 Let y be (2 + 1 - -1) + 6. Solve 2*d - y = -0*d for d. 5 Let j be 8/5 - (-10)/25. Suppose -3*n - 5 = j*x - 21, x = -4*n + 13. Suppose n*s = 6*s - 12. Solve -s*i - i = 0 for i. 0 Suppose t + 9 = 3*n, -2*t = -3*n + 2*t. Let z(d) = -d + 9. Let p be z(n). Solve -p*y - 6 = -2*y for y. -2 Let v(g) = -g + 1. Let d be v(-2). Solve d + 7 = 2*w for w. 5 Suppose -3*b - 2 = -5. Suppose -p + 5*c - 3 = b, -5*p = 3*c - 36. Solve 0 = 3*a + 6 + p for a. -4 Let k(b) = b**3 - 3*b**2 - 4*b + 1. Let v be k(4). Let r = v + 1. Let z(f) = f + 1. Let h be z(r). Solve -t + h*t = 10 for t. 5 Let h = -60 + 63. Solve h*k + 16 = 7*k for k. 4
Let y = -2.3 + 2.6. Let v = 0.42 - 1.42. What is the closest to 0 in y, -2, v? y Let n(g) = g + 2. Let z be n(0). Let q be 0 - z*(-1)/(-2). Let u = -2.335 + 2.135. Which is the nearest to q? (a) 1 (b) u (c) -1 c Let x = -3.14 - -4. Let f = x + -2.86. Which is the nearest to f? (a) 2/7 (b) 0.8 (c) 5 a Let q = -221.6 + 250.6. Which is the closest to -1.6? (a) -3 (b) 5 (c) q a Let h = 0.47 + -3.37. Let t = 3.154 + -0.054. Let d = t + h. What is the closest to 0 in 5/3, d, 5? d Let t = -1/39 + 41/78. Let h = -179/107 + 2/321. What is the nearest to h in -0.4, t, 3? -0.4 Suppose 6*y + 33 - 9 = 0. What is the nearest to -3/5 in 3/4, y, -1/3, -1? -1/3 Let k = -81 + 89.4. Let p = -8 + k. What is the nearest to -1 in 0, 0.03, p? 0 Let p = 1.3 + 2.7. Let i = -14 + 9. What is the nearest to -0.1 in p, i, 2/11? 2/11 Let w = -108 + 109. What is the nearest to 2 in -0.01, w, 4? w Let u = 4.95 + 0.05. Let p = 9 - u. Let z = -115.4 - -114.4. Which is the closest to 0.2? (a) z (b) p (c) 6 a Let q = 0.2 + 0. Let n = 1.89 + -0.89. Which is the nearest to n? (a) q (b) -2/17 (c) 2 a Let s = 0.092 + -0.772. Let o = s + 0.58. What is the closest to o in 2/7, -3, -6/7? 2/7 Let p = 6/11 - 7/33. Let m be (-12)/(-42)*((-4)/8 - -2). Which is the closest to 0.1? (a) p (b) -0.3 (c) m a Let y = -156 - -156. What is the closest to y in -2/15, 0.3, 1? -2/15 Let n = -89 + 625/7. Let d = -0.4 + 0.2. What is the nearest to n in -4/3, d, -0.4? d Let w = -1/230 + 37/575. Which is the nearest to -1/3? (a) w (b) 0.2 (c) -0.4 c Let v = 41.32 - 0.32. Let f = 43 - v. Let j = 0 - -0.3. Which is the nearest to 1? (a) j (b) f (c) -0.5 a Let s = -10.82 - -10.8. Let n = -2.02 - s. What is the nearest to n in 2, -5/3, 6? -5/3 Suppose -2*j = 4*k - 4*j - 4, 4*j = 16. Let u = 5 + 0. Which is the nearest to -1? (a) k (b) u (c) 0 c Let k be 4/(-6) + 90/135. Which is the closest to k? (a) 3 (b) -9 (c) -4 (d) -2/7 d Let s = -103.1 + 103. Let t be ((-12)/(-12))/(2/4). Which is the closest to t? (a) -2 (b) -4 (c) s c Let k = 647.1 + -647. What is the nearest to 7 in k, -4, 1/5, 4/7? 4/7 Let q = 33 - 29. What is the closest to -12 in 0.5, q, 3? 0.5 Let v = 439 + -3074/7. What is the closest to 65 in v, -2/7, -2? v Let w = -0.01 + 0.01. Suppose 5*u - 6*o = -3*o - 32, 5*u - o + 34 = 0. Which is the nearest to -1/3? (a) u (b) 4/9 (c) w c Let n = -22 + 19. Let i = 0.126 + -0.126. Which is the nearest to i? (a) -2/5 (b) n (c) -1 a Let k = 0.1 - -0.1. Let p = 4067 + -36605/9. What is the nearest to k in p, -1, -1/4? p Let q = 0.341 - 0.241. What is the closest to 1 in -4, 4, 1/2, q? 1/2 Let y = 0.9 + -0.8. Let a = 0.3 + 0.2. Let f = -1.9 + 2.3. What is the nearest to y in f, a, -1/10? -1/10 Let q = 31.5 - 25.5. What is the nearest to -1/3 in q, 0.1, -5? 0.1 Let t = -1.4 - -1.4. Let l = -2.6 - -2.3. Which is the nearest to 2/5? (a) l (b) 2 (c) t c Let k be (-2)/(-9) - 1*(-2420)/45. Let a = k - 59. What is the nearest to 1 in 3/2, a, -0.1? 3/2 Let p be (-2)/(-12)*14*114/(-494). What is the nearest to 2 in 1/3, p, -3? 1/3 Let y(f) = -3*f + 38. Let m be y(11). Let w = 11 + -15. Let n = 1 - 2. Which is the nearest to n? (a) m (b) -5 (c) w c Let h = -300 + 301. Let p be 2 + -3 - 1 - 0. What is the nearest to 0 in -0.7, h, p? -0.7 Let p = 46.41 - -11.62. Let l = 58 - p. Which is the nearest to -0.2? (a) -5/4 (b) 0 (c) l c Let j = -1808.3 + 1808. What is the closest to -2/135 in -3, j, -2/5? j Let k = -17.05 + 17. Let p = k + 0.15. Let m = -0.06 - -0.16. Which is the nearest to m? (a) p (b) 0 (c) 4 a Let m = -12.8 + 13. Suppose 2*c + 3 = -1. What is the nearest to m in 0.4, -5, c? 0.4 Let c = -0.18 + 1.18. Let i = 39/55 + -6/55. Let u(o) = o**3 - 6*o**2 - 2*o + 9. Let p be u(6). What is the nearest to c in i, p, 2/5? i Let y = 0.7848 - -0.0842. Let w = y + 0.131. Let f = 11 + -18. Which is the nearest to w? (a) 4 (b) -0.5 (c) f b Let z = -37/2436 - 8/87. Let i = z + 37/84. Which is the closest to i? (a) 4 (b) 2 (c) -4 b Suppose 5*t + 15 = -4*z, 0*t = t - 5*z + 3. What is the nearest to t in -2/9, -0.2, 26? -2/9 Let d = 3.9 - 4. Let u = -13 - -36. Let f = u + -22.6. What is the nearest to d in 8, f, 1? f Let y = 162 - 162.2. Which is the closest to 1? (a) y (b) -3 (c) 0.3 c Suppose 34*i = 10*i. Which is the nearest to i? (a) 0.4 (b) 0.5 (c) 1 a Let l be (39/(-1053))/((-4)/36). Let t = -2 + 1. Let d = -1/14 + 11/7. What is the closest to l in t, d, -2? d Let r = -2.8 - -3. Let t = -25 - -21. What is the closest to 1 in t, r, -3/8? r Let u(g) = 5*g. Let d be u(1). Suppose 3*h - 1 = -2*i + 3, 0 = -2*i - d*h + 12. Let y = 401.1 + -401. Which is the nearest to -1/2? (a) i (b) y (c) -5 b Let g = -329/3230 + 3/1615. Which is the nearest to 7? (a) -2/21 (b) -0.4 (c) g a Let r = -0.078 + 29.078. Let d = r - 27.7. Which is the closest to 0.1? (a) d (b) -1/4 (c) 4 b Suppose -106*f + 110*f - 4 = 0. Which is the nearest to f? (a) 5 (b) -0.09 (c) 0.1 (d) -5 c Let b = 117.8 - 102. Let i = 22 - 38. Let s = b + i. What is the nearest to -1 in -1/4, -1, s? -1 Let j = -0.05 + 3.05. Let f = -0.608 - -1.108. What is the nearest to 0 in f, j, 0? 0 Let k = -7 - 8. Let v = k + 18. Let s = 3 - v. Which is the nearest to s? (a) 2 (b) -6/5 (c) 3 b Let q = -960 - -956. Let o be (2/3)/((-1)/(-3)). Which is the nearest to 0? (a) 1/4 (b) q (c) o a Let o = -0.4 - -0.8. Suppose 2*v = -7 + 29. Let p be 1/(-15)*(17 - v). What is the closest to p in o, 0, 4? 0 Let y(b) = -2*b - 3. Let o be y(-3). Let a = -0.329 - 0.057. Let v = 0.014 - a. What is the nearest to 0.1 in 1, v, o? v Let i = -0.35 - -0.1. Let f = i + 0.75. Which is the closest to -1? (a) -4 (b) 6 (c) f c Suppose -17*f + d - 36 = -20*f, 5*f - 2*d - 60 = 0. What is the nearest to -1 in -2, -5, -2/17, f? -2/17 Let g = -56 - -283/5. Suppose 0 = 2*s - o + 5, 4*o - 6 = 2*o. What is the nearest to s in -5, -0.5, g? -0.5 Suppose 2 + 3 = -5*h. Let d = -1627 - -4879/3. Which is the nearest to h? (a) 3/2 (b) -0.3 (c) d c Let m be ((-9)/1)/36*-2. What is the nearest to 1/6 in -4, 0.06, m? 0.06 Let a = -147.6 + 147.7. What is the closest to a in 0.7, 3/5, 1.1? 3/5 Let z be (-5 - 0)*(-2)/(-8). Let l = -29 - -29.05. Let p = 0.35 + l. What is the closest to -1 in z, 2/7, p? z Let i(a) = a - 4. Let z be i(3). Let t = -3/157 + -619/471. Let d be 1/4 - 1/4. What is the nearest to d in z, t, -3? z Let f = -430 - -429. What is the closest to 2/3 in f, 5, 3/5? 3/5 Suppose 5*p - 13*y + 17*y = -3, -2*y = 2*p + 2. Let s = -0.6 - 0.4. Which is the nearest to p? (a) 0 (b) -3 (c) s a Let x be (-210)/(-27) - (3 - -5). Which is the nearest to 5? (a) x (b) -5 (c) 3/4 c Let g be (-2 - -176)/3 - 4. Let m be g/(-40) - 6/(-10). Which is the closest to 2? (a) -2/11 (b) -3 (c) m a Let v = 0.364 + 0.036. What is the closest to -3/7 in -3, 4, v? v Suppose -4*z = -4*q - 20, -q = -4*z + 6*z + 2. What is the nearest to -0.2 in q, -0.04, -0.4? -0.04 Let s = -169 + 172. What is the closest to 2/3 in -2, 0, s? 0 Let t be 15/15*6/(-33). Which is the nearest to -4? (a) 2 (b) t (c) -0.4 c Let w(f) = -f. Let y be w(1). Let j be (1 + -7)/(-3) + -3. What is the nearest to j in -1/5, 0.3, y? y Let v = -1048 + 1048. Let z = 0.1 - 0.1. What is the closest to z in -5, -1, v? v Let t = 2 - 1.996. Let s = 0.104 - t. What is the nearest to s in 2/5, -5, -0.5? 2/5 Let q = 0.67 + -0.47. What is the closest to -0.6 in q, 5/2, -2? q Let k = -192 - -187. Let j = 0.5 + -0.51. Let q = -4.01 - j. Which is the nearest to 1? (a) k (b) q (c) 0.4 c Let p = -14 - -14.2. What is the nearest to 2 in -0.1, p, -3? p Let w be ((-38)/21 - -2)*42/12. What is the closest to w in 1/10, -2, 2/3? 2/3 Let u = 0.015 + -1.015. Let c = -29.4 + 29. What is the closest to u in -1/5, -0.5, c? -0.5 Let i be (342/(-532))/((-6)/7). What is the nearest to 0.1 in -1/5, i, 2/15? 2/15 Suppose 2*h - 14 = l + 69, -h + 2*l = -43. Let y = 43 - h. What is the closest to y in -0.4, 5, 0.2? 0.2 Let x = 1 - 3. Let j = -2.1 - 26.5. Let l = j - -29. What is the nearest to -1/2 in l, 1/8, x? 1/8 Let h be ((-16)/204)/(6 + (-16)/3). Which is the closest to 4? (a) h (b) -0.2 (c) -3 a Let z be 4 - (-116)/(-12) - -5. Let d = 12 - 11.8. What is the nearest to -2/5 in z, d, 0.5? z Let m = -20 - -17. Let o be ((-1)/(-4))/((-3)/18). Let q = o + 1. What is the closest to q in 3, 0, m? 0 Let j = -188 + 185. What is the nearest to -4/3 in -5, -4, j? j Let c = -231 - -231. What is the closest to c in -4/3, 6, 5? -4/3
Let z(i) = -184*i**3 - 9*i**2 - 9*i + 18020. Let j(w) = -95*w**3 - 5*w**2 - 4*w + 9011. Let s(d) = -7*j(d) + 3*z(d). What is the first derivative of s(m) wrt m? 339*m**2 + 16*m + 1 Let v(f) be the third derivative of 2*f**5/15 + 19*f**4/12 + 2027*f**3/6 + 249*f**2 + f. What is the first derivative of v(h) wrt h? 16*h + 38 Let h be ((-555)/222)/(26/(-8) + 2). Find the second derivative of 6*k**h + 20*k**2 - 139*k + 377*k + 10*k**2 wrt k. 72 Let d(a) be the third derivative of 0*a**5 + 0*a - 53/6*a**3 + 0 - 1/24*a**4 + 222*a**2 + 4/15*a**6. What is the second derivative of d(c) wrt c? 192*c Let h(f) = -12*f - 98. Let o be h(-10). What is the first derivative of 7 - y**3 - 6*y**2 + 8 - o + 2*y**2 - 3*y**3 wrt y? -12*y**2 - 8*y Let j(f) be the third derivative of 35*f**8/24 + f**6/40 + 161*f**5/20 - f**3/2 - 2631*f**2. What is the third derivative of j(o) wrt o? 29400*o**2 + 18 Suppose 16565 = 34*u + 415. Find the third derivative of -u - 41*f**4 - 8*f**2 + 475 wrt f. -984*f Let t(s) be the first derivative of 23*s**6/30 + 3*s**4 + 14*s + 30. Let q(u) be the first derivative of t(u). Find the third derivative of q(x) wrt x. 552*x What is the third derivative of -12*q**6 + 11*q**5 + 60*q**6 - 1007*q + 1006*q + 2*q**3 + q**2 + 6 - 140*q**2 wrt q? 5760*q**3 + 660*q**2 + 12 Let g be (-2240)/(-42)*((-72)/15)/(-2). What is the second derivative of g*y + 16*y**5 - 39*y**5 - 15*y**5 - 54*y**5 wrt y? -1840*y**3 Let b(j) = -9*j - 39. Let x be b(-7). Let y be x/10 + 5/((-75)/(-9)). Find the second derivative of 4*z**3 - 6*z - 5*z**y + 10*z + 5*z**3 wrt z. 24*z Find the second derivative of -1359 + 2688 - 764*f**2 - 1329 - 5776*f wrt f. -1528 Let m(z) = -3985*z + 1609. Let g(a) = -664*a + 266. Let y(l) = 13*g(l) - 2*m(l). Find the first derivative of y(x) wrt x. -662 Let v(z) be the second derivative of -5*z**7/21 + 3*z**5/10 + 196*z**3/3 + 238*z + 1. Find the second derivative of v(p) wrt p. -200*p**3 + 36*p Let m = -51 - -48. Let r be -1 + (-11)/(-2) - m/6. What is the derivative of -7 - r + 2 + 0 - 13*a**2 wrt a? -26*a Let p(y) be the first derivative of 422*y**5/5 - y**3 + 10*y**2 + 2*y + 667. Find the second derivative of p(s) wrt s. 5064*s**2 - 6 Let a = 335/2 - 496/3. Let u(k) be the third derivative of 0*k - 1/12*k**5 - a*k**3 + 0*k**4 + 0 - 16*k**2. Differentiate u(p) wrt p. -10*p Let k(u) = -3*u**3 + u**2 - u + 1. Let a(j) = 445*j**3 - 110*j**2 - 2*j + 2. Let y(r) = -a(r) + 2*k(r). Find the third derivative of y(n) wrt n. -2706 Let g(c) = c**3 - 10*c**2 + c + 3. Let z be g(10). What is the first derivative of -z + 83*l**4 - 191*l**3 + 191*l**3 wrt l? 332*l**3 Let k = -199 + 281. What is the second derivative of 217*u**5 + 219*u**5 - 447*u**5 + k*u + 4*u**4 wrt u? -220*u**3 + 48*u**2 Find the third derivative of 7*z**2 + 27*z**6 - 13*z**5 - 8*z**2 + 9*z**2 + 9*z**6 + 8*z - 4*z**5 wrt z. 4320*z**3 - 1020*z**2 Let s(c) be the first derivative of -22*c**2 - 14*c**2 - c**2 + 36*c + 32. Differentiate s(a) with respect to a. -74 Suppose 0 = a - 4*a + 17*a. Let f(v) be the second derivative of a - 8/3*v**4 + 0*v**3 - 27/2*v**2 - 6*v. Differentiate f(b) with respect to b. -64*b Find the second derivative of -174*x + 1 + 890*x**2 - 4 + 68*x - 131*x + 75*x**2 wrt x. 1930 What is the derivative of -1672 - 2577 - 517*x - 580 - 3310 + 617 wrt x? -517 Let v(b) be the third derivative of -157*b**9/60480 + 91*b**6/360 + b**5/6 + 6*b**2. Let j(i) be the third derivative of v(i). Differentiate j(k) wrt k. -471*k**2 Let p(j) = 6*j**2 + 4. Let m be p(2). Find the first derivative of 22 + 49 + 15 - 17 - m*y**3 wrt y. -84*y**2 Let m(x) be the first derivative of -161*x**5/5 - x**4/4 + x**2 + 1950*x + 3513. Find the first derivative of m(f) wrt f. -644*f**3 - 3*f**2 + 2 Let h(o) = -o**3 - 16*o**2 - 16*o - 10. Let d be h(-15). Suppose -d*c + 8*c = 9. Find the first derivative of 4 - c + 8*m**3 - 7*m**3 - 5 wrt m. 3*m**2 Let f(n) = -76*n**2 - 12*n + 4440. Let s(a) = -37*a**2 - 6*a + 2218. Let r(v) = 2*f(v) - 5*s(v). Find the first derivative of r(t) wrt t. 66*t + 6 Let s(w) = w**3 - 11*w**2 + 28*w - 29. Let h be s(8). Find the first derivative of -8*j - 10 - 3*j - h*j - 3*j**3 - 5*j wrt j. -9*j**2 - 19 Let t(j) be the first derivative of -3*j**5 + 16*j**4 + 14*j**3/3 + 104*j - 401. What is the third derivative of t(n) wrt n? -360*n + 384 Let y(u) be the first derivative of 9068*u**3/3 - 3314*u + 7456. Differentiate y(n) wrt n. 18136*n Let r(t) be the first derivative of 0*t + 0*t**2 - 29/4*t**4 - 38/3*t**3 - 27. What is the third derivative of r(d) wrt d? -174 Find the third derivative of -20702*c + 20701*c - 2290*c**3 - 441*c**2 - 937*c**2 wrt c. -13740 Suppose -28 = -g + 56. Differentiate -49 + g - 13*f - 15*f with respect to f. -28 Let w = 425 - 423. Let d(z) = 102*z**2 + 4*z + 208. Let m(f) = 103*f**2 + 6*f + 206. Let i(t) = w*m(t) - 3*d(t). What is the first derivative of i(y) wrt y? -200*y Suppose -2*b + 3*l - l + 154 = 0, 4*l = 12. Suppose b = 5*f - 25. Find the third derivative of 193*c - 3*c**5 - 193*c + f*c**2 wrt c. -180*c**2 Let u = -161 + 165. What is the first derivative of -4 + r**u + 1 - 7 + 11*r + 2 wrt r? 4*r**3 + 11 Let n = 57 - 26. Let v = n + -3. Find the first derivative of -2*p**2 + 2*p**2 - 8 + 19*p**3 + v wrt p. 57*p**2 Let o(w) be the first derivative of 1606*w**3/3 - 578*w**2 - 689. Find the second derivative of o(h) wrt h. 3212 Let t(j) = j**3 - 10*j**2 - 11*j. Let b be t(11). Suppose 48 = 5*s + 4*r - 53, 4*s - 3*r - 87 = b. What is the derivative of s*y - 7 - 11 - 12*y wrt y? 9 What is the second derivative of 1519*x**3 - 1496*x**3 + 43*x**5 - 165*x + 4 + 2*x**5 wrt x? 900*x**3 + 138*x Let c be (-24 + 18)*2/(-4). What is the second derivative of 199*w**3 - 91*w + 65*w - 190*w - 386*w**c wrt w? -1122*w Let m = -34 + 42. Suppose 24 - 42 = -3*b. What is the derivative of -b + 30*v + 1 - m + 0 wrt v? 30 Let n(h) = 5*h**4 + 350*h**3 - 2558*h**2 - 12*h - 4. Let m(i) = -i**4 + i**2 + 3*i + 1. Let a(d) = -4*m(d) - n(d). Find the third derivative of a(p) wrt p. -24*p - 2100 Suppose 0 = -2*g + 2*k + 8, 28*g - 24*g - 14 = 5*k. Let u be 1/3 - 71/(-3). What is the third derivative of -10*b**6 - 4 + 4 - u*b**2 + 28*b**g wrt b? 2160*b**3 Differentiate 0*b**2 - 9*b**2 + 3*b**2 + 17*b**2 + 14*b**2 + 9*b - 2063 wrt b. 50*b + 9 Let p(d) = 7*d + 44. Let q be p(-6). Suppose -6 = -r - q. What is the second derivative of 5*n - 2*n - 6*n**r - 11*n wrt n? -72*n**2 Let n(g) be the second derivative of 0*g**2 + 10*g - 107/6*g**3 - 4 + 1/20*g**5 + 7/4*g**4. What is the second derivative of n(s) wrt s? 6*s + 42 Find the third derivative of -192*d**4 + 6*d**2 - 27*d + d**4 - 266*d**4 wrt d. -10968*d Suppose w + 711 = 3*l, -587 = -5*l - 3*w + 612. What is the first derivative of l - 2247*i**2 - 54 - 47*i + 2249*i**2 wrt i? 4*i - 47 What is the first derivative of 42*u - 2*u**3 + 1798 + 80*u + 682*u + 776 wrt u? -6*u**2 + 804 Let h(q) be the first derivative of -53*q**4/4 - q**3 + 495*q + 1018. Find the third derivative of h(n) wrt n. -318 Let h(y) = -7463*y + 17237. Let z(b) = -2487*b + 5739. Let q(x) = -4*h(x) + 13*z(x). Differentiate q(s) with respect to s. -2479 Let l be 652/12 + 14/(-6). What is the first derivative of -l + 17*p + 0*p**4 + p**4 - 8*p wrt p? 4*p**3 + 9 Let j = -50 + 120. What is the derivative of b**2 - 24 + 72 - b**2 + j*b**3 wrt b? 210*b**2 Let d(b) = 2*b**2 - 29*b. Let y be d(22). Suppose 19*h = 8*h + y. Find the first derivative of a + h - a + 24*a wrt a. 24 Suppose 0 = -6*z + z + 25. Suppose i + 4*g - 17 = -0*i, -g - 61 = -2*i. Find the second derivative of -20*j - 4*j + z*j**4 - i*j**4 wrt j. -288*j**2 What is the first derivative of 3181 + 1006553*z + 1002986*z - 2002135*z wrt z? 7404 Let s(g) be the first derivative of 865*g**6/3 + g**2/2 + 4351*g - 2699. Find the second derivative of s(r) wrt r. 34600*r**3 Let d(z) be the first derivative of -505*z**6/6 - z**2/2 + 1293*z - 6071. Find the second derivative of d(o) wrt o. -10100*o**3 Let k be 25*(-6)/(-13 - -7). Find the third derivative of 23*r**2 + 2*r**4 + k*r**6 + 21*r**2 - 4*r**4 + 10*r**2 - 6*r**2 wrt r. 3000*r**3 - 48*r Let l(j) be the first derivative of -j**6/2 + 131*j**5/5 + 43*j**3/3 + 19*j + 1950. What is the third derivative of l(k) wrt k? -180*k**2 + 3144*k Let m = -69 + 70. Let i be ((-8)/28)/(m/(-14)). Find the third derivative of -2*f**3 - 8 + 8 + i*f**2 + 2*f**2 wrt f. -12 Let d = 105 + -54. Suppose d*n = 49*n + 4. Find the second derivative of -1 + 1 + 0*v**n - 2*v + 5*v**2 wrt v. 10
Suppose -56 = -0*j - 4*j. Suppose -u + 5*u + 28 = 0. Let q = 15 + u. What is the smallest common multiple of q and j? 56 Let v be 1*3330/(-3335) - -1. Let g be (-80719)/8004 - 2/(-6). Let d = g + v. Calculate the common denominator of -27/2 and d. 4 Let l = -155 - -171. Calculate the smallest common multiple of 24 and l. 48 Suppose -4*t + 380 = -3*k, t - 4*k - 118 = -9*k. Find the common denominator of -25/8 and -1 - -4 - t/9. 72 Let o be (-496)/(-1760)*310/12. Let x = o - 48/11. Find the common denominator of x and (-1 + (-10)/(-16))*46. 12 Let x(i) = -i**2 - 18*i - 21. Calculate the smallest common multiple of 6 and x(-15). 24 Let q = 100 + -84. Calculate the lowest common multiple of q and 24. 48 Suppose 5*o - 5*j + 25 = 0, 0 = -2*j + 1 - 3. Find the common denominator of (-4)/o - (-896)/(-147) and 10/3. 21 Let w = -36 + 52. Suppose 72 + 24 = 2*m. Suppose w = 4*p - m. Calculate the lowest common multiple of 16 and p. 16 Let n be (-4)/20 + 16286/(-134830). Let c = 8/695 + n. Let x = 4224/485 + c. Calculate the common denominator of x and 4/5. 5 Suppose -2*h - 9 = 5*t, 6 = -2*t - 5*h - 6. Let d = 37 + -24. Let q = t + d. What is the smallest common multiple of 4 and q? 12 Let z(y) = -2563*y + 3. Let t be z(2). Let w = t + 9350. Let c = w - 17003/4. What is the common denominator of -25/7 and c? 28 Let r = -20 + 31. Calculate the lowest common multiple of 2 and r. 22 Let j = -3135/16 - -196. Calculate the common denominator of 10/4*6/(-10) and j. 16 Suppose 0 = -3*c - 14 - 1. Let m(b) = 2*b - 29. Let o be m(-9). What is the common denominator of (o/2)/((-10)/c) and 11? 4 Suppose -2*v + 2*c - 9 = -3*v, 0 = -3*v + 5*c - 28. Find the common denominator of (((-21)/12)/v)/1 and 75/14. 28 Let i be 3 + (-1 - 1) + 3. Suppose -18 = -i*h + h. Calculate the smallest common multiple of h and 1. 6 Suppose -1 + 23 = d. Calculate the lowest common multiple of d and 22. 22 Find the common denominator of 15/8 and (-3 - 109/70) + 9/45. 56 What is the common denominator of 21 + -24 - (-1 - 32/9) and -1 + (-3)/(60/106)? 90 Let j = -6372 - -127411/20. Calculate the common denominator of 79/6 and j. 60 Suppose -2 = -4*a + 6, -3*a = -2*j + 14. Let t = j - -6. What is the lowest common multiple of 10 and t? 80 Suppose 0*i = 2*i - 3*o - 20, 0 = o. Suppose q + 2 = -0. Calculate the lowest common multiple of -12*(q - (-4)/3) and i. 40 Suppose 2188 = 2*h + 5*n, -1079 = -3*h + 2*h + 5*n. Calculate the common denominator of -53/14 and h/(-120) + 6/30. 56 Let f = -92 + 100. Calculate the least common multiple of 18 and f. 72 Suppose -7*p = -78 - 6. Let v(q) = q**2 - q - 4. Let y be v(0). What is the lowest common multiple of y/(-14) - 54/(-7) and p? 24 Let h(l) = -l**3 - l**2 + 4*l + 4. Calculate the least common multiple of 6 and h(-3). 30 Let i be ((-2)/3)/(4/6). Find the common denominator of -3 + 2 + 7 + -20 and (-6 + i)/(18/(-2)). 9 Calculate the least common multiple of -1*1/3 + 1342/66 and 38. 380 Suppose 4*i = -20, -4*f + 2*i + 18 = -0*i. Suppose f*v + 6 = -0*v. Let m = 5 + v. What is the smallest common multiple of m and 1? 2 Let z(c) = -c**2 + 13*c + 7. Calculate the lowest common multiple of z(13) and 8. 56 Let b be -2 + 18*(-2 + 3). Suppose -b = 2*f - 3*f. Calculate the smallest common multiple of (-90)/(-4) + (-1)/2 and f. 176 Calculate the common denominator of 71/2 and 96/(-4 + 2) - 0. 2 Suppose -6*g = -3*g + n - 23, 37 = 2*g + 5*n. Calculate the smallest common multiple of 22 and g. 66 Let d(x) = x**2 - 16*x - 7. What is the smallest common multiple of d(17) and ((-10)/(-8))/((-1)/(-4))? 10 Suppose 2*i - 16 = 92. Calculate the lowest common multiple of i and 2. 54 Calculate the smallest common multiple of 2 and ((-5)/(-3))/((-1)/(-6)). 10 Suppose -5*x - 16 = -101. Suppose 3*n = -1 + 7. What is the common denominator of (n/(-4))/((-7)/2) and x? 7 Let n(w) = 3*w. What is the smallest common multiple of n(4) and 12? 12 Let z = 15 + -9. What is the smallest common multiple of z and 15? 30 Let d = 12/41 + 1098/451. Let w = 362150/11 + -32970. Let n = w + 468/11. What is the common denominator of d and n? 11 Suppose 0 = -3*f + 7*f - 20. Suppose f*d - 6*d + 6 = 0. Calculate the smallest common multiple of d and 3. 6 Let p = 28 + -16. Calculate the smallest common multiple of 8 and p. 24 Let l(r) = -r**2 - 13*r + 4. Let i be l(-6). Find the common denominator of 29/5 and 6/(-18) - i/3. 15 Let o be 6008/(-2998) - 2/(-1). Let d be (-2 + 1)*(-277015)/74950. Let j = d - o. What is the common denominator of j and -89/4? 20 Let q = 5 + -1. Suppose -y = i - q, 0 = -y - 0*y + 5*i + 28. What is the lowest common multiple of (5 - -2) + -1 + 4 and y? 40 Let c = -7 + 11. Calculate the smallest common multiple of 6 and c. 12 Let k(w) = 157*w - 1. Let g be k(-1). Calculate the common denominator of -93/8 and 3/((-66)/g) + -3. 88 Let n(s) = -10*s**3 - 2*s**2 - 2*s - 1. Calculate the lowest common multiple of 7 and n(-1). 63 Let g = -56029/10 + 5595. Let h = -35121/74 - -2520/37. Let c = -415 - h. What is the common denominator of c and g? 10 Suppose 0 = 5*y - 4*y - 4. Let b(x) = 8*x**3 + 2*x**2 - x. Calculate the lowest common multiple of b(1) and y. 36 Let d be (-10)/2*(-24)/20. Find the common denominator of ((-60)/(-1))/((-21)/2) and (-10)/d*8/1. 21 Let g(t) = 2*t**2 - 2*t - 31. Calculate the common denominator of 1/10 and g(0). 10 Let g(p) = 3*p**3 - 2*p + 3. Let m be g(2). Suppose 9 = 3*y, -3*o + m = o + 5*y. What is the lowest common multiple of 4 and o? 4 Let d = 25 - 7. Calculate the lowest common multiple of d and 22. 198 Let y(j) = -2*j - 3. Let l(t) = 1. Let u(r) = l(r) - y(r). Calculate the least common multiple of 14 and u(7). 126 Suppose b - 2*b = -3*s - 21713, 0 = s - 5*b + 7219. Let u = s - -43307/6. What is the common denominator of 5/11 and u? 66 Let r = -19/6 - -5/12. Calculate the common denominator of r and ((-124)/28)/((-5)/(2 + 3)). 28 Suppose 0 - 100 = -10*i. Calculate the smallest common multiple of 8 and i. 40 Let m = 4822 - 130180/27. Let o = -1/27 - m. Let c = 121/115 + 2541/230. Find the common denominator of o and c. 90 Suppose y + 2*x = -0*x + 6, 2*y = -3*x + 9. Let g be (-5 + 0)/(3/(-6)). Suppose y*j + g = 5*j. Calculate the lowest common multiple of j and 22. 22 Suppose -5*x + 25 = 0, 1 = 5*m - 3*x - 4. Suppose -6*b + m = -4*b. Calculate the least common multiple of -10*((-8)/5)/2 and b. 8 Find the common denominator of -29/8 and (-396)/(-8)*(-4)/(-8). 8 Let y = 5 + 0. What is the smallest common multiple of -3 - (-5 - -3 - y) and 4? 4 Suppose 2*o - 26 = -2*u + 2, -u + 41 = 4*o. Suppose -5*m + 128 = 48. Calculate the smallest common multiple of m and 4/(1/o*3). 48 Let n = 62 - 47. What is the least common multiple of 12 and n? 60 Let j = -223 + 2000/9. Calculate the common denominator of j and 22/9. 9 Let l(t) = t**2 + 10*t + 24. Calculate the least common multiple of l(-10) and 36. 72 What is the lowest common multiple of 27 and ((-15)/3 + -4)*-1? 27 Let u = 3642 - 40110/11. Calculate the common denominator of -43/7 and u. 77 Let i be (3/4)/(1/48). Suppose -i = -6*s + s - 4*w, 3*s = 4*w + 28. What is the smallest common multiple of 7 and s? 56 Suppose -6*i = -2*i + 4*a + 96, 5*i = 4*a - 93. Let x = -12 - i. What is the least common multiple of x and 10? 90 Let f = 9 - 6. Calculate the least common multiple of 9 and f. 9 Let a = 5434 + -20869/4. Let k = a - 199. Find the common denominator of k and -13/10. 20 Let w = -1044/5 + 1783/10. Find the common denominator of 93/10 and w. 10 Let x = -15/59 - 2595/236. Find the common denominator of x and (-1)/(20/(-194)) - 1. 20 What is the common denominator of (275/(-45) + 6)/(3/(-41)) and 10/33? 297 Let j(q) = -q - 4*q**2 - 23*q**3 + 9*q**2 - 1 + 24*q**3. What is the smallest common multiple of 4 and j(-5)? 4 Suppose 2*v + v = -a + 25, -2*v + 25 = -a. Suppose 3*f = -2*f. Suppose f = -2*l, -l = -4*r - r + 55. Calculate the lowest common multiple of v and r. 110 Let f = -416645989/868314 - 2/144719. Let d = 481 + f. What is the common denominator of d and 71/8? 24 Let a = -10 - -24. What is the lowest common multiple of 4 and a? 28 Suppose 7*u - 20 = 3*u. Suppose 11 = j + 2*v, -2*v + 32 = -0*j + 4*j. What is the least common multiple of u and j? 35 Let d be 168/(-20) + 2/5. Let w(j) = -2*j - 6. What is the lowest common multiple of w(d) and 4? 20 Find the common denominator of -13*(-8)/(-14) + 10/70 and 1/9. 63 Calculate the common denominator of 13/4 and (287/4)/(-7)*4. 4
Let i = 0.1 + -0.12. Let b = i + 5.52. Let u = -4.34 + b. Round u to 1 decimal place. 1.2 Let p = 26.976 - -0.024. Let g = p - 26.9848. What is g rounded to 3 decimal places? 0.015 Let y = 10 + -8.4. Let i = -12.9 - y. What is i rounded to 0 decimal places? -15 Let z = -2491 + 2508.01. Let x = -0.01 + z. Let b = x + -17.00000023. Round b to seven decimal places. -0.0000002 Let s(g) = 3161*g + 51. Let u be s(9). What is u rounded to the nearest ten thousand? 30000 Let v(z) = -z**3 - 5*z**2 + 3*z + 3. Let x be v(-5). Let p be -4500*8*800/x. What is p rounded to the nearest one hundred thousand? 2400000 Let d be (99 - -3) + -3 + 1. Round d to the nearest one thousand. 0 Let l = 1 + -0.95. Let h = l - 0.0500039. Round h to six decimal places. -0.000004 Let v(l) be the third derivative of -l**6/120 - 7*l**5/60 + l**4/2 + 4*l**2. Let k be v(-10). Round k to the nearest 100. 200 Let l = 0.27 + -29.27. Let g = l + 29.077. What is g rounded to two decimal places? 0.08 Let t be 8/6*872184/16. Suppose p - t = -7682. What is p rounded to the nearest ten thousand? 70000 Let z = 194428 + -194426.44311. Let x = 0.89648 - z. Let u = -0.66 - x. Round u to four dps. 0.0004 Let u = -56 + 38. Let x be ((-8880)/u)/((-1)/3000). What is x rounded to the nearest 100000? -1500000 Let j = -459359.95999956 - -459360. Let r = j - 0.04. Round r to seven dps. 0.0000004 Let a = 1027.9559 + -1028. Let l = -0.047 - a. What is l rounded to three dps? -0.003 Suppose -6 = -2*a - 2. Let g be 4/(a - 35002/17500). Round g to the nearest 10000. -40000 Let n = 0.368 - -0.938. Let v = 0.086 - n. Let s = 1.7 + v. What is s rounded to 1 dp? 0.5 Let z(m) = -m + 1. Let p(f) = -61250*f - 6250. Let k(l) = 4*p(l) + 25000*z(l). Let a be k(4). Round a to the nearest one hundred thousand. -1100000 Suppose 3*j - 5*u = 8*j - 660, -3*j = 5*u - 388. Suppose 0 = 2*s - 2*f - j, -2*f - 72 + 2 = -s. What is s rounded to the nearest 10? 70 Suppose 401538 - 4361538 = -2*t. What is t rounded to the nearest one hundred thousand? 2000000 Suppose 5*f - 27 = -b, f + 27 = 3*b - 2*f. Let p be (-299 + -1)*412000/b. Round p to the nearest 1000000. -10000000 Suppose k - n + 0*n + 1 = 0, -5*k + 19 = n. Suppose 5*d - 168000 = k*d. What is d rounded to the nearest 10000? 80000 Let w = -1.4 - 4.6. Let t = w - -6.00056. What is t rounded to four decimal places? 0.0006 Let m(y) = 5*y + 13*y**2 + 3*y - 8*y**2 + 10*y**2 + 3. Let a be m(9). What is a rounded to the nearest one hundred? 1300 Let m = 0.3 + -0.3. Let s = m - 8. Let h = 7.9999982 + s. What is h rounded to six dps? -0.000002 Let k(z) = -608*z**3 - 5*z**2 - 4*z + 8. Let n be k(4). Round n to the nearest ten thousand. -40000 Let a be 2/6 - (-187502)/(-6). Suppose l + 60 = -4*c - 2*l, 2*c + l = -32. Let g be 2208*(-3)/(c/a). What is g rounded to the nearest one million? -12000000 Let d = 0.3000178 + -0.3. Round d to 6 decimal places. 0.000018 Let f(y) = -y + 2. Let j be f(-3). Let p = 65283 - 42078. Suppose p = -4*v + 2*m + 3*m, -5795 = v + j*m. What is v rounded to the nearest 1000? -6000 Let s = 314911.4389 + 50.5611. Let z = s + -314973.00029. Let v = z + 11. What is v rounded to four dps? -0.0003 Suppose c = -2*c - 780000. What is c rounded to the nearest one hundred thousand? -300000 Let i = 0.12 + -0.11955. What is i rounded to four dps? 0.0005 Let m = 50.2 - 50.666. Let p = m - -0.39. Let w = 0.07 + p. Round w to three dps. -0.006 Let k = 0.035 - 0.365. Let n = -0.3274 - k. What is n rounded to three dps? 0.003 Let g = -21.676 - -0.076. Let h = g + 24. Round h to the nearest integer. 2 Let r = 408136 + 61864. What is r rounded to the nearest one hundred thousand? 500000 Let y be -3 + 5 + 5 + -1. Suppose -4*m = -12, a + m - y*m + 11189284 = 0. Let i = a + 18689269. Round i to the nearest 1000000. 8000000 Suppose -10 - 2 = -3*z - 3*w, 2*w - 8 = -z. Let u be -2 + 4 - (-3628 + z). Let t be u/(-9)*9/(-3). What is t rounded to the nearest 100? 1200 Let u = -0.27016 + 0.27. Round u to 4 dps. -0.0002 Let o = 0.04 - 0.84. Let i = 0.776 + o. What is i rounded to two dps? -0.02 Suppose 0*b - b + 12400 = 0. Round b to the nearest 1000. 12000 Let j = 71 - 124. Let h = j + 53.0039. Round h to 3 dps. 0.004 Suppose -3*g + a + 14 = -a, -3*g + a = -10. Let d = g + 0. Let u(h) = -50001*h + 2. Let r be u(d). What is r rounded to the nearest one million? 0 Suppose 5*x = 1 + 24. Suppose -x*l = -4*d + d + 8006, 0 = -2*l - 3*d - 3194. Let j be (-30)/4*l/(-6). What is j rounded to the nearest ten thousand? 0 Let z = 4 - 4.0000026. What is z rounded to 6 decimal places? -0.000003 Let b be (-2)/2*5*-19. Let v be 5/4*(-44)/1. Let p = b + v. Round p to the nearest 100. 0 Suppose 5*j = -0*j. Suppose j = 5*l + 7 - 17. Let f be l - (0 - 1 - 2897). What is f rounded to the nearest one thousand? 3000 Let c be (-11586)/(-21) - 12/(-42). Round c to the nearest 10. 550 Let v = -0.01999948 + 0.02. Round v to 7 dps. 0.0000005 Let f = 2.59 + -1.68. Round f to 1 decimal place. 0.9 Let m be 16/(3 + 393747/(-131250)). What is m rounded to the nearest one hundred thousand? 700000 Let o = 3.11 + -0.11. Let q = o - 3.045. Round q to two decimal places. -0.05 Let p(a) = -a**2 - 4*a - 2. Let d be p(-4). Let u be (-2)/2 + d + 81. What is u rounded to the nearest 10? 80 Let l = -0.014 - -1.594. What is l rounded to one dp? 1.6 Let l = 0.25000095 - 0.25. Round l to seven decimal places. 0.000001 Let q be 4999 - 10/(-40)*(-8)/(-2). Round q to the nearest 1000. 5000 Let p = 422 + -420.932. Let i = p + -1. Round i to 2 decimal places. 0.07 Let v = -18.4 + 0.4. Let f = 10 + v. Let r = f + 7.947. What is r rounded to 2 decimal places? -0.05 Let n = 0.72173 - 0.72. What is n rounded to 4 dps? 0.0017 Let n be (-6)/5*(-105)/6. Suppose -5*b + 3*v + 5 = 0, 11 = 2*b - 3*v - 0*v. Let x = b + n. Round x to the nearest 10. 20 Let g = 1 + -0.9. Let n = g - 3.6. What is n rounded to the nearest integer? -4 Let n = -77 + 40. Let r = -37.12409 + -0.04591. Let h = n - r. Round h to one dp. 0.2 Let y be (-231 - 5)/(1/(-25)). What is y rounded to the nearest one thousand? 6000 Let v = -101520309 + 101520324.9999938. Let i = -16 + v. Round i to six dps. -0.000006 Let p = 141.9344191 + 0.0566809. Let s = 142 - p. What is s rounded to 3 decimal places? 0.009 Suppose 928000 = -6*w + 10*w. What is w rounded to the nearest 100000? 200000 Let l be 9/6*4/6. Let w be (-10)/(l/58*1). What is w rounded to the nearest one hundred? -600 Let x = -37.589 - -37.4. Round x to 2 dps. -0.19 Let w = 92 - 175. Let h = w - -83.0059. What is h rounded to three dps? 0.006 Let u = -0.5 + 0.42. Let q = -0.37 - u. What is q rounded to one decimal place? -0.3 Let t = 0.17 - 0.16869. What is t rounded to four dps? 0.0013 Let u = 109 - 109.000071. What is u rounded to 5 dps? -0.00007 Let o = 7924 + -5424. Let x be (-1 + -63)/((-2)/o). What is x rounded to the nearest one hundred thousand? 100000 Suppose -l - l - 30 = -5*a, -3*l - 24 = -4*a. Suppose a = -2*j + 5*j. Suppose 0 = -4*o + j*o + 80000. What is o rounded to the nearest ten thousand? 40000 Let p(w) = 91110*w + 10. Let q be 5 + -6 - (-12 + 2). Let g be p(q). What is g rounded to the nearest 100000? 800000 Let m = -2100.33 + 2152. Let u = -52 + m. Round u to one dp. -0.3 Suppose 11*q = -q + 26880000. What is q rounded to the nearest one hundred thousand? 2200000 Suppose 0 = -15*d + 17*d + 348. Round d to the nearest ten. -170 Let a = -128.051 + 128. Round a to 2 decimal places. -0.05 Let j(x) = -x**3 + 3. Let i be j(0). Let l be (1 + 2)/i - -4. Suppose 4*s - 6 = l*s. Round s to the nearest ten. -10 Let s = 17.718 - 1.628. Let y = s - 16. Let v = y + 0.07. Round v to one dp. 0.2 Suppose 16 = 3*s - 7*s. Let l be (-1)/s + (-55198)/(-8). What is l rounded to the nearest 1000? 7000 Suppose b = -b + 37798. Suppose -8601 = -5*c + b. What is c rounded to the nearest 1000? 6000 Suppose y - 32811 = -2*y. Let q be 749*y + 3/1. Let m = -27691816 + q. Round m to the nearest one million. -20000000 Let c = 9 + -16. Let x = c - -6.986. Round x to three decimal places. -0.014 Let a be 3170000 + (-1 + 4 - 3). What is a rounded to the nearest one million? 3000000 Let w = 265290.9999 + -265277. Let c = w - 14. Round c to 4 dps. -0.0001 Suppose 0*j = 4*j + d + 30399996, 5*d = 20. Round j to the nearest one million. -8000000 Let v = -13.00086 + 13. What is v rounded to 4 decimal places? -0.0009 Let r(b) = 3503*b**3 - 3*b**2 - 3*b - 1. Let z be r(-3). What is z rounded to the nearest 10000? -90000
Is (-2)/4 + 765/6 composite? False Suppose 3*p + 12 = -6. Let z(b) = -b**3 - 5*b**2 + 2*b. Let m be z(p). Let c = m - 11. Is c a composite number? False Let v(i) be the second derivative of i**5/20 + i**4/4 - i**3/2 - i**2/2 - 2*i. Let m be v(-6). Let c = 168 + m. Is c composite? True Let o(h) = -1211*h**3 + 5*h + 5. Is o(-1) prime? False Suppose 0 = -4*y - y + 5*b + 1195, 4*y = -2*b + 968. Let m = -130 + y. Is m a composite number? True Suppose 2*h = y + 30, -5*y = -3*h - 2*y + 48. Is h a composite number? True Suppose 0 = -5*r - 5, 2837 = 3*y + 2*r + 43. Suppose -o + 5*o = y. Is o prime? True Let j(q) = 17*q - 6. Suppose 3*n + 51 = 3*l, l - 73 = -4*l + 2*n. Let i = -6 + l. Is j(i) a prime number? True Suppose 0 = -12*a + 1365 + 783. Is a composite? False Let j(b) = 64*b**2 - 5*b - 11. Is j(4) prime? False Suppose -4*l + 96 = -52. Is l a prime number? True Let g(o) = 64*o + 63. Is g(11) composite? True Let c be (-115)/15 - (-1)/(-3). Let x(k) = 2*k**3 - 9*k**2 - 6*k + 2. Let v(j) = 3*j**3 - 18*j**2 - 13*j + 3. Let m(w) = 3*v(w) - 5*x(w). Is m(c) prime? True Let u be (-3 - (-1 + -2))/(-2). Suppose 3*r + 10 + 2 = u, -3*v + 335 = r. Is v a composite number? False Let r be -3 + 0 + 3 + -2. Let d be (-562)/(-8) + r/8. Suppose -2*u - 4*o + 63 = -7, -d = -2*u + o. Is u a prime number? False Let s(b) = -304*b + 3. Is s(-1) composite? False Let m(y) = -y**3 - 10*y**2 - 9*y - 2. Let b be m(-9). Let k(h) be the second derivative of h**4/2 + h**3/3 + 3*h**2/2 - h. Is k(b) a prime number? True Let u(z) = 43*z**2 - 4*z. Is u(-13) composite? True Is 7 + (-6 - -2) - -532 a prime number? False Is ((-20)/(-30))/(-1 + (-2265)/(-2259)) a composite number? False Let t = -72 - -109. Is t composite? False Let k(f) = 2*f**2 + f + 1. Let n be k(-1). Suppose n + 24 = 2*s. Is s prime? True Suppose 1 = 3*f + 13. Let w = f + 8. Suppose -57 = w*p - 7*p. Is p composite? False Let w(j) = 109*j + 13. Is w(1) a composite number? True Let o be 80 - -2*(-9)/6. Suppose 350 = 5*u + 3*z, -5*u + 268 = 2*z - o. Is u a prime number? True Let s = 243 - 43. Let m = 121 - s. Let l = 134 + m. Is l composite? True Suppose 6 = 4*s - 6. Suppose -4*y = -2*v - 42 + 206, v + s*y - 62 = 0. Is v composite? True Let u(s) = -s**3 - 26*s**2 - 6*s + 47. Is u(-26) a prime number? False Suppose x = u, 0 = -3*u + x + 3 + 3. Suppose -4*b - 2*b = -36. Is (-21)/(-2)*b/u a prime number? False Suppose 0 = -20*z + 15*z + 815. Is z a composite number? False Let j be 8/6*((-25)/(-10) + -1). Let y = -1 - -4. Suppose x - 198 = -j*x - r, y*r - 58 = -x. Is x prime? True Let h(r) = -5*r**3 - r**2 + r - 3. Let y(s) = -s**2 - 1. Let b(c) = -h(c) + y(c). Is b(3) a prime number? False Let x = -1054 - -1797. Is x a prime number? True Let t = -19 - -52. Is t a composite number? True Suppose -k - 5*r = -463, -4*k - r + 1784 = 2*r. Is k prime? True Let f be (45/6)/(3/6). Is (-5)/(f/9) + 194 a prime number? True Suppose -5*v + 6969 + 9966 = 5*f, -5*v - 2*f + 16929 = 0. Is v a composite number? True Let s = -18 - -10. Let v = s + 11. Suppose 5*m + g = v*g + 101, 0 = 5*m + g - 92. Is m a composite number? False Suppose 2*c + j + 3*j - 386 = 0, 4*c + j = 793. Let v = -57 + c. Is v prime? False Let c(t) = -7*t + 4. Let k be 0 - (-5)/(10/6). Suppose -3*a = -0*f + 2*f - 1, k*f + 2*a + 11 = 0. Is c(f) composite? False Let n = -103 + 320. Is n a composite number? True Let z(v) = 4*v**2 + 4. Let x be z(-7). Suppose -t + s - 3*s = -69, -3*t + x = -s. Is t a composite number? False Suppose -2*z = -5*z - 42. Is 6/(-21) - 1082/z a prime number? False Let r(f) = -6*f + f + 4*f + 1. Let z be r(-4). Suppose -275 - 50 = -z*k. Is k composite? True Suppose -2082 - 153 = -5*b. Is b prime? False Let t = 1580 + 1181. Is t a prime number? False Let o(w) = w - 4 + 34*w**2 - 4*w**2 + 0*w + 0*w. Is o(5) a composite number? False Let c(o) = 16*o - 35. Let z(p) = -8*p + 17. Let j(d) = -3*c(d) - 7*z(d). Is j(6) a composite number? True Suppose -444 = 3*n - 5*n. Suppose -4*g - 150 - n = 0. Let y = -40 - g. Is y a composite number? False Suppose -2*o - 20 = -7*o. Let m be 1 - (-5)/((-20)/(-8)). Suppose -m*p + 189 = 5*d, -p - 235 = -o*d - 77. Is d a prime number? False Let v be (-3)/(-6)*(-2 - -112). Let b = v + -34. Is b a prime number? False Let k(o) = -o + 4. Let u(d) = -2*d + 7. Let a(n) = -5*k(n) + 3*u(n). Let m be a(-1). Is -2*-1*m*1 composite? True Suppose 0 = -4*s + 2*v + 1384, -2*s - v + 854 = 158. Is s a prime number? True Is (42/(-12) - -4)*2222 a prime number? False Suppose -u = 1 - 271. Let s = -91 + u. Is s prime? True Let l(d) = d**3 + 4*d**2 - d + 5. Let v be l(-4). Let g(m) = m**3 - 16*m**2 + m - 22. Let w be g(16). Is v/w*(-118)/3 a prime number? True Suppose 427 = l + 4*b, -5*b = -0*l - 4*l + 1624. Suppose 0 = -v - 116 + l. Is v a prime number? False Suppose -3*n + 1031 = -4*i, -7*n + 4*n = i + 254. Let t = -40 - i. Is t composite? True Suppose -i = i - 6, 4*q + 4*i = 0. Let w(u) be the first derivative of -u**4/4 - u**2 + 5. Is w(q) a composite number? True Suppose -13*o + 8*o = -715. Is o a prime number? False Let b(x) = 0 + 0 - 4*x + 1 - 4. Is b(-6) a prime number? False Suppose -h - 32 = -124. Suppose 0 = -2*w + 303 + 39. Let s = w - h. Is s composite? False Let k = -15 + 284. Is k a composite number? False Suppose 4*t + y - 6149 = 9377, 0 = -5*t + 4*y + 19397. Is t a composite number? False Let h = -1239 - -2720. Is h a prime number? True Suppose -12 = -5*k + 33. Let j(f) = 3*f**2 + 3*f + 4. Let q be j(3). Let a = q - k. Is a a composite number? False Suppose -1247 = 2*y - 3121. Is y a prime number? True Is (709 - 2)/(1 - 0) prime? False Let d(m) = 236*m**2 + m. Let j = 7 - 8. Is d(j) composite? True Let t(o) = -22*o**3 - o**2 - o - 1. Suppose 5*d - 3*a - 16 = 0, a = -2*d - 3*a - 4. Suppose -3*m + 5*m + d = 0. Is t(m) a composite number? True Let o = -1188 - -2065. Is o prime? True Suppose 5*v + 26 = 6. Is 19*-1*v/4 prime? True Let c = 17 + -7. Suppose 2 = -3*k - 4*j + c, -k = -j - 5. Suppose -k*r + 74 = b, -2*b - 4 = -0. Is r composite? False Suppose -m + 233 = -4*n, -172 = 3*n - 0*m + 2*m. Let h = n + 106. Suppose -h = -4*y + 2*i, -y + 2*i = i - 13. Is y a composite number? False Is 3 - 0 - -4*2*14 a composite number? True Let c be (12/(-10))/(33/(-550)). Let k = c + 11. Is k prime? True Let s be ((-12)/9 - 0)*-9. Suppose 0 = 3*p + s + 60. Is 7*4*(-18)/p prime? False Suppose 0 = 3*z - f - 26, -3*f + 18 = -z + 4*z. Let c(v) be the first derivative of -v**4/4 + 3*v**3 - 3*v**2 + 3*v + 1. Is c(z) composite? False Suppose 0 = 4*k + 2*k - 4782. Is k composite? False Is ((-89)/2)/((-4)/56) prime? False Suppose -5*i = -3*t - 6*i + 15295, -3*i = -5*t + 25501. Is t prime? True Let j = -18 + 14. Is j/(-4) - (-84 + 0) prime? False Let u(a) = a**2 + a - 3. Suppose -3 = -3*g + 18. Is u(g) a composite number? False Suppose -4 = -l - 3*p, 3*l - 5*p + p - 25 = 0. Suppose -9 = u + l. Let m = u - -47. Is m a composite number? False Suppose 3*j = -2*n - 16, -2*n - 8 + 0 = -j. Let y(g) = -18*g + 3. Let m be y(n). Is 2*3/3 + m prime? False Let i = 619 + -324. Is i a prime number? False Let p be -10*((-4)/(-2))/2. Let i be ((-12)/15)/(4/p). Suppose 0*u - 382 = -i*t - 5*u, 0 = -5*u. Is t prime? True Suppose 78 = w + 4*w + 4*y, -62 = -4*w - 3*y. Suppose 5*x = w + 421. Is x prime? False Let d(c) be the second derivative of -c**4/12 - 7*c**3/6 + 2*c**2 + c. Let t = 10 + -16. Is d(t) a composite number? True Let t be 531/(-12) + 6/(-8). Let c = t + 282. Suppose c = 2*p + p. Is p a prime number? True Let q(l) = 10*l. Let b be q(1). Let c = 8 + b. Suppose c - 6 = 4*p. Is p a prime number? True Let a(w) = -7*w - 10. Let m be (-3)/(14/6 - 2). Is a(m) a prime number? True Suppose -3*k = v + 2*k + 10, -k = v + 2. Suppose -c - 8 = -5*h + 13, 4*c - 2*h - 6 = v. Suppose 5*f = c*n + n + 200, -5*f + 4*n = -197. Is f a prime number? True Let h be ((-8)/(-10))/((-4)/(-10)). Is 71 + (h - 6 - -2) composite? True Let j be (2/2)/(7/14). Suppose 307 = 4*r + g, -j*r - 2*g + 88 + 58 = 0. Let f = 167 - r. Is f a composite number? False Let x(g) = 110*g + 3. Let n(z) = -1. Let o(s) = 6*n(s) + x(s). Is o(2) a composite number? True Suppose -3*p - 14 = -2*p + 3*g, 2*g = -4*p - 16. Let m be 2/(p/61)*-5. Suppose 5*s + 40 = m. Is s composite? False Suppose -2*u = -13*u + 5863. Is u a composite number? True Let l = -661 + 1158. Is l composite? True Let w(o) = -o**2 + 5*o**2 + o - 2*o**2. Let l be w(5). Suppose -16 = 3*u - l. Is u prime? True Suppose a + 0*a = 677. Is a a prime number? True
Is 0.11 >= 44? False Which is bigger: -4749 or -4748? -4748 Which is smaller: -16 or -22? -22 Which is greater: 38 or 186/5? 38 Which is smaller: 812 or 829? 812 Is 2 bigger than 0.392? True Is 737 less than 736? False Which is greater: -1 or 1/197? 1/197 Is 2 greater than or equal to 581? False Which is bigger: -135 or -132? -132 Which is smaller: -4 or 0.042? -4 Which is smaller: 0 or 2/11379? 0 Which is bigger: -5 or -204/55? -204/55 Which is bigger: 453 or -3? 453 Do -0.514 and 2 have the same value? False Which is bigger: 2638 or 2639? 2639 Which is bigger: -70 or -3.2? -3.2 Is -1 > 26/1939? False Which is greater: -1 or 6/1093? 6/1093 Is -46 at most as big as -49? False Which is smaller: -2/6717 or 0? -2/6717 Which is smaller: -0.1 or -149? -149 Which is greater: -39 or 28? 28 Is 3 smaller than -347? False Which is greater: -194 or -196? -194 Is 2 equal to 222/151? False Is -3 greater than or equal to 21? False Which is smaller: -15.39 or 0.3? -15.39 Is 0.1 less than or equal to 1/245? False Which is greater: -32452 or -32453? -32452 Which is bigger: -25 or -224/9? -224/9 Is -193 != -192? True Is 2/669 at least as big as -1? True Is -1529 > -1531? True Which is greater: -1 or -12600? -1 Is 210 less than or equal to 194? False Is 332 > 357? False Does -1 = -2/359? False Which is smaller: 2059 or 2061? 2059 Is 720/19 less than or equal to 38? True Is 34 equal to 15? False Do -4/391 and 0 have the same value? False Is 96 > 98? False Is -1 at most -2/1425? True Which is bigger: -2/595 or 1? 1 Which is bigger: -4 or 1884? 1884 Is -112 greater than -101? False Is 137 < 2? False Do -10 and -8 have the same value? False Which is bigger: 187/5 or 37? 187/5 Which is smaller: -2/27721 or 0? -2/27721 Which is greater: 1/37055 or -1? 1/37055 Which is greater: 134 or 135? 135 Are -690 and -692 equal? False Are -3095 and -3098 equal? False Which is smaller: 49 or 0.8? 0.8 Which is smaller: 5 or 1978? 5 Which is smaller: 18/211 or -1? -1 Is -255 greater than or equal to -256? True Is -799 greater than -801? True Is 64 at most as big as 6/7? False Is -0.05 <= 0.34? True Which is smaller: 1 or 82/47? 1 Which is greater: 5/68 or 0? 5/68 Is -2046 > -2046? False Which is greater: 3 or 2/5? 3 Which is bigger: -3 or -117/31? -3 Which is smaller: -4/9 or 39/4? -4/9 Are -77 and -1020/13 nonequal? True Is 852 != 852? False Is 3 smaller than -2878? False Which is greater: 1 or -2/769? 1 Which is bigger: 1 or 38/149? 1 Is -782 less than or equal to -1? True Is 0 less than or equal to -119? False Are -323 and -323 equal? True Which is smaller: -30 or 4/7? -30 Which is bigger: -165 or -173? -165 Is 1379 <= 1379? True Is -141 at most -148? False Is 8 less than 114/13? True Is -38 <= -10? True Which is smaller: 265/2 or -2/9? -2/9 Which is bigger: 642 or 0.3? 642 Is -56 bigger than -826/15? False Is 94 less than -0.1? False Are 4/5 and 54 equal? False Which is smaller: 2/32701 or 0? 0 Which is smaller: 5170 or 5174? 5170 Is -17 at most as big as 0.8? True Do 6/2051 and 0 have different values? True Is -318/13 greater than -24? False Is -244 less than -246? False Do 83 and 21 have the same value? False Which is bigger: -1001 or -1002? -1001 Is -688 smaller than -2065/3? False Which is smaller: -2424/79 or -30? -2424/79 Is -1.32 at most -4? False Is 1/71 greater than 0? True Is 33632 smaller than 33632? False Which is greater: -125 or 3? 3 Which is bigger: 0 or -3/754? 0 Which is bigger: -10949 or 2? 2 Which is smaller: -1 or 13/113? -1 Which is smaller: 1/4 or -44/5? -44/5 Is 6250 less than or equal to 6250? True Which is bigger: -0.1 or 5/13? 5/13 Which is smaller: -65 or 3? -65 Which is smaller: 105 or 72? 72 Which is smaller: -0.122 or -3? -3 Which is smaller: -1 or -22/1223? -1 Which is bigger: -1 or -1/87? -1/87 Is -410/39 greater than or equal to -10? False Is -4/141 <= 16? True Which is smaller: 1 or -91/184? -91/184 Is 0.2 >= 2.01? False Is 42 equal to 48? False Is 53/27 at most as big as 2? True Does 2/3 = 1/319? False Is 25/121 less than 1? True Is 4/9445 less than 0? False Which is greater: -1 or -1/4753? -1/4753 Is 149/60 > 2? True Is -5237 greater than -5238? True Is 33/19 less than 3? True Is 1.02 greater than or equal to -0.28? True Is 1 at least as big as -44/227? True Which is bigger: -1/41606 or 1? 1 Which is bigger: 1 or -3/68? 1 Which is greater: 4008 or -3/8? 4008 Which is bigger: 3/167 or 1? 1 Is -4/193 equal to 1? False Do 837 and 1 have different values? True Which is smaller: -1/3 or -115.05? -115.05 Which is smaller: -1911 or -1910? -1911 Is 171 smaller than 9? False Is 471/7 != 67? True Which is smaller: 655 or 1? 1 Is 123 greater than or equal to 126? False Which is smaller: -5/52 or 1? -5/52 Which is greater: -13 or 19? 19 Which is smaller: -157 or -159? -159 Which is greater: 1 or -2/30169? 1 Is 1655 smaller than 1674? True Is 1 at least as big as 3846? False Is 21 greater than 2? True Is 13.53 > 1? True Is 298 at least 298? True Is -1/5029 smaller than 0? True Which is smaller: -49 or -52? -52 Which is bigger: -177 or -144? -144 Is -979 greater than -979? False Which is smaller: 233/12 or 20? 233/12 Is -2814 equal to -2814? True Which is smaller: -5/28 or 0? -5/28 Is -1490 greater than or equal to -1489? False Which is bigger: -124 or -129? -124 Do -7615 and 0 have the same value? False Is -7/50 equal to 1? False Is -0.5 >= -10/321? False Are -82/19 and -4 nonequal? True Is 53 at least as big as -4? True Does 0 = -6/2077? False Is -0.029926 less than 0.1? True Is -53 bigger than -52? False Is 3 smaller than 79? True Is -28 greater than -27? False Is -87 at most -88? False Which is smaller: -18512 or 0.2? -18512 Which is bigger: 200 or 4? 200 Is -19/5 smaller than 4? True Which is greater: 153 or 2? 153 Is 1/2 smaller than 5327? True Is -35 smaller than -38? False Is 0.1 equal to -10.5? False Do 904 and -0.06 have different values? True Is -2 at most as big as -19/15? True Is 558 not equal to 559? True Are -9693 and 0 equal? False Which is smaller: 0 or -2/2131? -2/2131 Which is smaller: -2/13 or -491? -491 Is 1 bigger than 3/1090? True Which is greater: 0.1 or 12989? 12989 Which is smaller: 24 or -1? -1 Which is greater: -23/2 or 123? 123 Which is smaller: -919 or 0.1? -919 Is 14771 less than or equal to 14773? True Are 0 and 194 equal? False Is 4 >= 82/27? True Is -35/38 at most as big as -1? False Is 2 greater than -36? True Which is greater: 261/11 or 24? 24 Is 1 at least -1/210? True Is 416 greater than 416? False Which is smaller: -371 or 1/6? -371 Which is smaller: -1 or -15/47? -1 Which is smaller: -31 or -28? -31 Is 16 less than 74/5? False Is 1 at least as big as -11/2737? True Are 1/3 and -1624 unequal? True Which is greater: -602/65 or -9? -9 Which is bigger: -396 or -397? -396 Is -269 != -1? True Which is bigger: -1190 or 0? 0 Which is smaller: 50 or -2/5? -2/5 Is -1684 greater than -1668? False Which is smaller: 12/61 or 1? 12/61 Which is smaller: -1 or 1/24? -1 Which is smaller: 0 or 2/727? 0 Is 1 > -2/4549? True Is 2032 greater than 8129/4? False Which is smaller: -1/4 or -0.56? -0.56 Is -0.1 at most as big as -1169? False Which is bigger: 4/581 or -1? 4/581 Is -122/21 > -6? True Which is greater: 697 or 698? 698 Which is smaller: -514 or -527? -527 Which is smaller: 0 or -210/19? -210/19 Is 5/807 at most 1? True Is -31/67 greater than or equal to 1? False Which is smaller: -190 or -191? -191 Is -2/627 equal to -1? False Which is greater: -1/4898 or 1? 1 Which is greater: -51/37 or -2? -51/37 Which is greater: 889/5 or 178? 178 Is 17/235 != -1? True Which is bigger: 135 or 137? 137 Which is greater: -20 or 1/8? 1/8 Which is smaller: 1597 or 1598? 1597 Which is smaller: -1 or 5900? -1 Which is greater: -0.1 or 507? 507 Which is smaller: 245 or -8? -8 Is -949 at least -956? True Which is smaller: 1.593 or -0.1? -0.1 Are 9 and 38 equal? False Which is smaller: 1 or -86? -86 Which is smaller: -0.228 or -2/13? -0.228 Which is smaller: -190/3 or -1/2? -190/3 Is -9 != -0.059? True Is 116 >= 117? False Is 4/2065 smaller than 0? False Is 26 <= 3? False Is 2/1233 <= 1? True Is -5/794 bigger than 1? False Which is bigger: 21 or 46? 46 Is 1/1895 greater than -0.1? True Which is smaller: -57 or -56? -57 Which is smaller: -2.67 or -0.03? -2.67 Which is greater: 213/2 or 108? 108 Is -3/7897 >= -1? True Which is greater: 3 or 302/115? 3 Is 602 smaller than 603? True Which is smaller: 1 or 2/1089? 2/1089 Which is bigger: -168 or -232? -168 Which is bigger: -5/3989 or -1? -5/3989 Which is bigger: 0.4 or 33/8? 33/8 Are 53 and 26 nonequal? True Is 593/11 < 55? True Which is smaller: 110 or 5/6? 5/6 Which is bigger: -3.135 or -4? -3.135 Which is greater: 4175 or 4174? 4175 Are 12 and -11 equal? False Which is smaller: 4 or 1120? 4 Which is greater: -34 or -33? -33
Is 4856903 a prime number? True Is 12941 prime? True Is 29399 a prime number? True Is 10311193 a composite number? False Is 9902 composite? True Is 329503 prime? True Is 2115371 prime? True Is 88277 prime? False Is 128251 composite? True Is 89371 composite? False Is 13891 a composite number? True Is 409363 composite? True Is 507505 a prime number? False Is 9389 a prime number? False Is 180461 composite? True Is 19661 a composite number? False Is 104879 a prime number? True Is 221614 a prime number? False Is 125765 a composite number? True Is 19147 a prime number? False Is 1559755 prime? False Is 16933069 composite? False Is 56891 prime? True Is 4514069 a composite number? True Is 1716677 a composite number? True Is 31883 prime? True Is 687119 composite? True Is 6947 composite? False Is 1982111 prime? True Is 73493 composite? True Is 536399 a prime number? True Is 378977 a composite number? False Is 3473 a prime number? False Is 6537 a composite number? True Is 6557 a composite number? True Is 1349 prime? False Is 1343 a prime number? False Is 85691 a prime number? True Is 6843 a composite number? True Is 28961 a composite number? False Is 23369 a prime number? True Is 3191 composite? False Is 22229 composite? False Is 58713 a prime number? False Is 135799 a composite number? False Is 14903 composite? True Is 1316209 a prime number? True Is 444065 composite? True Is 9007 prime? True Is 6599 prime? True Is 6997 a composite number? False Is 1042469 a composite number? False Is 701047 a prime number? True Is 835 a composite number? True Is 321443 composite? False Is 329143 a prime number? True Is 171991 a composite number? True Is 19841 a prime number? True Is 644593 composite? False Is 112771 prime? True Is 50987 a prime number? False Is 66617 composite? False Is 43517 a composite number? False Is 92657 composite? False Is 1673 prime? False Is 5969 a composite number? True Is 39099 composite? True Is 887 a composite number? False Is 506663 composite? False Is 230363 a composite number? True Is 10347 composite? True Is 126833 prime? False Is 1574 composite? True Is 121823 a prime number? False Is 1957 prime? False Is 4969 a composite number? False Is 57899 a prime number? True Is 1700243 prime? False Is 132589 composite? False Is 6613 a prime number? False Is 30289 a composite number? True Is 20611 composite? False Is 109567 composite? False Is 708646 prime? False Is 2293 composite? False Is 9133 prime? True Is 24329 a prime number? True Is 55477 prime? False Is 131038 a composite number? True Is 55579 a composite number? False Is 29905 a prime number? False Is 24305 prime? False Is 36173 composite? True Is 22891 a prime number? False Is 3089449 composite? True Is 212165 a prime number? False Is 42739 composite? True Is 19121 a prime number? True Is 6731 a composite number? True Is 1327501 a composite number? True Is 16057 a prime number? True Is 169817 a prime number? True Is 81637 composite? False Is 500755 prime? False Is 13073 composite? True Is 511649 a prime number? False Is 3316033 composite? True Is 14813 composite? False Is 1403627 prime? True Is 9901 prime? True Is 30403 composite? False Is 7655 a prime number? False Is 12451 a composite number? False Is 1349161 composite? True Is 8539 composite? False Is 66849 composite? True Is 2213735 composite? True Is 37589 prime? True Is 2819 a composite number? False Is 6537 a prime number? False Is 1055 composite? True Is 3217 a prime number? True Is 6619 a composite number? False Is 316423 composite? False Is 371 a prime number? False Is 1421551 a prime number? False Is 185429 a composite number? False Is 9643 a composite number? False Is 6599 a prime number? True Is 11027 a prime number? True Is 14923 a composite number? False Is 3763 prime? False Is 361402 a prime number? False Is 31957 a composite number? False Is 268057 a prime number? False Is 59723 prime? True Is 999227 composite? True Is 2333 a composite number? False Is 463949 composite? False Is 168326 a composite number? True Is 10577119 a composite number? True Is 6341 prime? False Is 13811 a composite number? True Is 9007 a prime number? True Is 481 prime? False Is 31971 composite? True Is 21989 a composite number? True Is 7003 a prime number? False Is 1379 prime? False Is 350093 composite? False Is 965357 a composite number? False Is 630493 a composite number? False Is 28537 a composite number? False Is 319 prime? False Is 157393 a prime number? True Is 3109 a composite number? False Is 121747 a prime number? False Is 993239 composite? True Is 1286 composite? True Is 696679 composite? False Is 6599 composite? False Is 11747 composite? True Is 17183 a prime number? True Is 1087 prime? True Is 1293689 a composite number? True Is 11351 a prime number? True Is 50035 a prime number? False Is 161323 prime? True Is 552469 composite? False Is 1251527 a composite number? False Is 117937 a prime number? True Is 1907 a composite number? False Is 27847 a prime number? True Is 11733 composite? True Is 125521 composite? True Is 2430487 prime? True Is 29371 a prime number? False Is 17783 prime? True Is 1119907 composite? False Is 185149 composite? False Is 27179 a composite number? False Is 15493 a prime number? True Is 7901 a composite number? False Is 153151 a composite number? False Is 3671 prime? True Is 11461 a composite number? True Is 205631 a prime number? False Is 606374 composite? True Is 602137 a prime number? True Is 826621 a prime number? True Is 56197 a composite number? False Is 730607 composite? True Is 50845 a prime number? False Is 202471 prime? True Is 3593 prime? True Is 14047453 composite? True Is 373781 a composite number? True Is 2053 composite? False Is 617579 a composite number? False Is 76453 composite? True Is 1029103 prime? True Is 203935 a composite number? True Is 70827 a composite number? True Is 7604939 prime? True Is 125053 composite? False Is 38453 composite? False Is 313903 composite? True Is 132401 composite? True Is 238151 composite? False Is 90901 a prime number? True Is 1085587 a composite number? False Is 111247 a prime number? False Is 546317 a prime number? True Is 2761 composite? True Is 22423 prime? False Is 81401 a prime number? True Is 100066 a composite number? True Is 507839 a composite number? False Is 660287 composite? True Is 183437 a composite number? False Is 209 prime? False Is 302053 a prime number? True Is 46327 composite? False Is 160781 prime? True Is 573691 a composite number? False Is 20789 composite? False Is 4327 composite? False Is 14581 prime? False Is 290897 a prime number? True Is 28901 a prime number? True Is 13649 prime? True Is 14207 a prime number? True Is 11819 composite? True Is 372261 prime? False Is 98086 composite? True Is 136387 prime? False Is 214139 a prime number? False Is 63191 a composite number? True Is 7939 composite? True Is 415469 a prime number? True Is 118127 a prime number? True Is 89035 a prime number? False Is 32293 composite? True Is 33923 prime? True Is 54869 a composite number? False Is 1781 prime? False Is 634479 composite? True Is 769903 composite? False Is 163477 a composite number? False Is 2974 composite? True Is 553471 a composite number? False Is 57571 prime? True Is 2053 a prime number? True Is 46481 composite? True Is 36591 a prime number? False Is 17558 composite? True Is 484829 a composite number? False Is 18053 prime? False Is 35417 prime? False Is 3203 composite? False Is 3037 composite? False Is 302065 prime? False Is 22693 a prime number? False Is 16271 a prime number? False Is 757 prime? True Is 817669 prime? True Is 11819 a prime number? False Is 97771 composite? False Is 77899 a prime number? True Is 7393 a composite number? False Is 165193 composite? True Is 10431709 composite? False Is 3959 prime? False Is 295321 a composite number? True Is 6131 prime? True Is 12605 prime? False Is 640807 composite? True Is 1455409 composite? False Is 84497 prime? False Is 49717 a composite number? True Is 19486 a composite number? True Is 36589 composite? True Is 5469 a composite number? True Is 261949 prime? False Is 1291 a prime number? True Is 4049 prime? True Is 131477 prime? True Is 5167 prime? True Is 2321 a prime number? False Is 77981 a prime number? False Is 1117 prime? True Is 435583 a composite number? False Is 51463 prime? False Is 113353 a prime number? False Is 571591 composite? True Is 5747 a prime number? False Is 59897 a prime number? False Is 21767 a composite number? False Is 103 prime? True Is 2064979 a composite number? True Is 12287 prime? False Is 33377 a composite number? False Is 20017 a composite number? True Is 2503 a composite number? False Is 4861 a prime number? True Is 13773 composite? True Is 3742 prime? False Is 51283 a composite number? False Is 24407 composite? False Is 11131 composite? False Is 1730501 a prime number? False
Let l = -340 + 344. What is the thousands digit of 13224/10 - l*5/50? 1 Let g = 269 - 269. Suppose g = 18*z + 839 - 9569. What is the hundreds digit of z? 4 Let m = -56 + 53. Let a be 137/7 - (-2)/(-14)*m. Suppose 3*o = 4*n + a + 4, 4*o - 36 = 4*n. What is the tens digit of o? 1 Let u(c) = -c**2 + c + 9. Let p be u(0). Suppose -p = -n - 12. Let g(b) = -25*b - 17. What is the units digit of g(n)? 8 Suppose 4*p = 9*p - 5*d + 1250, 0 = -4*p + 3*d - 1000. Suppose 0 = -5*n + n - 3*k + 1514, 2*k - 4 = 0. Let j = n + p. What is the tens digit of j? 2 Let l be 4 + 0 - (-10 - -8). Suppose 0 = -5*g - 3*v + 1650, 4*g + l*v - 1317 = 3*v. What is the units digit of g? 3 Suppose -4*c = -5*q - 0*q - 1880, -5*q = 3*c + 1845. Let l = q - -488. What is the hundreds digit of l? 1 Suppose -237*y = 4*m - 234*y - 7371, 0 = -4*y - 12. What is the units digit of m? 5 Let g = -12084 + 30689. What is the thousands digit of g? 8 What is the tens digit of 3*(-154)/84*-1802? 1 Let g(z) = -16*z + 2 - 4 - 3*z**2 - 7 + 0*z**2. Let a be g(-4). Let o(k) = 4*k**2 - 10*k + 43. What is the units digit of o(a)? 9 Let y = 66159 + -24883. What is the units digit of y? 6 Suppose -20*r = -15*r - 1760. Suppose 0 = 5*b - r - 3693. What is the units digit of b? 9 Suppose 96*l - 3*h - 64392 = 91*l, -l + 12864 = 3*h. What is the units digit of l? 6 Suppose -6*g - 8 = -5*g + 5*m, -5*m = 5. Let l be 0 + (g - 1/(-1)). What is the units digit of 10/(-15)*(553/l + -1)? 5 Suppose 2*s - 2 - 66 = -4*o, 20 = -4*o. Let d = 42 - s. What is the units digit of -1*(d/(-1))/(4/(-110))? 5 Let q(l) = -15*l**3 - 5*l**2 + 5*l - 14. What is the tens digit of q(-4)? 4 Suppose 0 = -2*x + x + 9. Let n be x/((-486)/(-12)) - (-4)/(-18). Suppose 4*j - 4*w - 208 = 0, n*j = 4*j - w - 205. What is the units digit of j? 1 What is the thousands digit of (-3)/((-15)/19)*13164715/1037? 8 Suppose -20*t - 166 - 54 = 0. What is the hundreds digit of 383 + (-5 - t) + -9? 3 Suppose -1485*p - 12600 = -1510*p. What is the tens digit of p? 0 Let p = -16164 + 31230. What is the tens digit of p? 6 Suppose 0 = 30*r - 22*r + 32. What is the hundreds digit of ((-2)/r)/(5/(-20)) - -399? 3 What is the thousands digit of 130/2275 + (-488736)/(-70)? 6 What is the hundreds digit of 272/102*43278/4? 8 Suppose -16*v - 22518 = 2*v. Let l = v + 1976. What is the units digit of l? 5 Let w = 165 - -9. Let h(t) = -16*t**2 + 11*t - 13. Let s be h(3). Let j = w + s. What is the tens digit of j? 5 Let b = 6622 + -852. What is the tens digit of b? 7 Let n(k) = -k**2 - 147*k - 2181. What is the units digit of n(-97)? 9 Suppose 9*b + 10514 = -7432. Let l = b - -2909. What is the hundreds digit of l? 9 Let y(p) = -27*p**3 - 2*p**2 - 36*p - 3. What is the thousands digit of y(-9)? 9 Suppose 31*a - 9 = -40. What is the units digit of (58/a)/((-22)/154)? 6 Suppose 150*a - 140*a = 90. Suppose -5*o + 7*m + 6510 = a*m, -1302 = -o - 3*m. What is the units digit of o? 2 Let k(t) = 8*t**3 - 74*t**2 - 26*t + 22. What is the units digit of k(19)? 6 Let x(m) = m**2 - 12*m. Let p be x(12). Suppose p = 9*c - 15*c + 3306. What is the tens digit of c? 5 Let h = -12632 - -36869. What is the thousands digit of h? 4 Let b(y) = y. Let l be b(6). What is the hundreds digit of (-9)/l*10894/(-39)? 4 Let w be 24/10 + (8/(-20) - 0). Suppose -18 = -5*g + w. Suppose 2*k = -g*o + 246, -3*k - 10 = 4*o - 251. What is the units digit of o? 4 What is the hundreds digit of 52/65*(-53575)/(-2)? 4 Let t = 5 - 17. Let f be ((17/3)/((-2)/t))/(-1). Let i = f - -130. What is the tens digit of i? 9 What is the units digit of -9 - (-3 + 14 - 402)? 2 Let a be (4/4)/((-2)/5)*-218. Let w = a + -376. What is the units digit of w? 9 What is the hundreds digit of -9 + -4 + 16560 + 3? 5 Let j be (-3)/7 + (-39974)/154. Let w = -159 - j. What is the hundreds digit of w? 1 Let p = -182 - -178. Let b(x) = -2*x**2 - 11*x - 7. What is the units digit of b(p)? 5 Let l = 139 - 136. What is the hundreds digit of (l/(45/6))/((-4)/(-1090))? 1 Let i be (1 - 4) + 137 + (-4)/2. Suppose 44*s - 48*s = -i. Suppose s + 187 = 2*x. What is the tens digit of x? 1 Let n = 12242 + 4996. What is the ten thousands digit of n? 1 Let g(w) = 31*w**2 - 5*w + 66. What is the tens digit of g(10)? 1 Suppose -5*t = 2*w - 3*w + 8, -5*w + t = 8. Let s be 271 + 3/(12/(-2))*w. Let b = s - 123. What is the units digit of b? 9 Suppose 3*m - 16379 = 4*d, -434*m = -439*m - 3*d + 27308. What is the units digit of m? 1 Suppose -4*k - 7*k + 82010 = -6*k. What is the units digit of k? 2 Suppose 0 = 572*l - 375*l - 2965638. What is the tens digit of l? 5 What is the tens digit of 34720/(-160)*(-1483)/7? 7 Suppose 0 = h - 102 + 35. Suppose -71*f + 148 = -h*f. Suppose -f = 5*t - 192. What is the tens digit of t? 3 Suppose 5*a - 1899 = -3*c, c - 653 = 20*a - 15*a. What is the units digit of (-1*c/(-5))/((-2)/(-5))? 9 Suppose 5*k - 21156 = 19019. What is the hundreds digit of k? 0 Let b(q) = q**3 - 10*q**2 - 12*q + 14. Let z be b(11). Let r(m) = -2*m + 4*m - 2*m**2 - m**z + 3*m - 7*m - 1. What is the tens digit of r(-5)? 8 Suppose 0 = 15*m - 6*m - 441. What is the tens digit of (-1 - (-6898)/10) + m/245? 8 Let g = -5454 + 10265. What is the hundreds digit of g? 8 Suppose -343535 + 1613585 = -15*k + 40*k. What is the ten thousands digit of k? 5 Let f(q) = 95*q - 129. Let o(w) = 66*w - 86. Let d(b) = 5*f(b) - 7*o(b). Let p be (-1)/((-2)/13)*2. What is the hundreds digit of d(p)? 1 Suppose 5*m + 1939 + 2341 = 0. Let r = m - -1224. What is the hundreds digit of r? 3 What is the hundreds digit of ((-263058)/4)/(-3) + -19 + (-111)/(-6)? 9 Suppose 129*a = 140*a + 29227. Let q = -1623 - a. What is the tens digit of q? 3 What is the thousands digit of (-3800 - 1)*((-240)/216 + 4/(-18))? 5 Let k be (129/(-2))/(6*3/96). What is the units digit of k/24*(-64 - -1)? 3 Let w(i) = 66*i - 178. Let s(x) = 67*x - 177. Let r(n) = -4*s(n) + 5*w(n). What is the units digit of r(14)? 6 Let s(n) be the second derivative of -7*n**3/2 - 155*n**2/2 - 45*n. What is the tens digit of s(-8)? 1 Let f = -17 - 3. Let u(z) = -z - 27. Let i be u(f). Let c(x) = x**3 + 6*x**2 - 6*x + 12. What is the units digit of c(i)? 5 Suppose 9*z + 1501 = -299. Let c = -110 - z. What is the tens digit of c? 9 Let o(b) = -179*b + 92. Let q be o(7). Let p = q + 1880. What is the hundreds digit of p? 7 Let t(y) = -15*y + 142. Let w be t(0). Let h = -48 + w. What is the tens digit of h? 9 Let y(k) = 2*k**3 - 16*k**2 - k - 21. Let m(h) = -3*h - 3. Let w be m(-4). What is the units digit of y(w)? 2 What is the ten thousands digit of ((-2)/(-8))/((19 + 15)/8615192)? 6 What is the ten thousands digit of (-8 + 39281)*7/21? 1 Let p(s) = 3*s**2 + 34*s - 330. What is the units digit of p(-64)? 2 Suppose 0 = 17*z - 916151 - 203792. What is the ten thousands digit of z? 6 Let k(z) = 9*z**3 + 13*z**2 + 16*z + 4. Let x be k(-11). Let m be (-26)/169 + x/26. Let v = -291 - m. What is the hundreds digit of v? 1 Let j(n) = -6*n - 15. Let b be j(7). Let i = b + 32. Let k = 97 + i. What is the tens digit of k? 7 Suppose 0 = 70*m - 23*m - 867512 - 882063. What is the units digit of m? 5 Let y be 22/(-99) - 14558/18. Let a = -332 - y. What is the units digit of a? 7 What is the hundreds digit of (-15)/120*10 + 10130/8? 2 Suppose 2010*j + 188040 = 2025*j. What is the units digit of j? 6 Suppose 3*y - 21180 = 5*f + 2256, 0 = -3*y + 4*f + 23436. What is the hundreds digit of y? 8 Let q be 2394/665 - 1/(-5)*-3. Suppose -q*d = -h - 1081, 2*d + 3*h = 426 + 280. What is the units digit of d? 9 Suppose -s - 20 = -5*a, 3*a - 2*s + 5*s = 12. Let n be a/(-14) + 1548/126. Suppose 5*o + f - 32 - 126 = 0, -4*f = -n. What is the tens digit of o? 3 Let m(i) = 8*i**2 - 42*i + 25. Let c(t) = -5*t**2 + 28*t - 17. Let u(n) = 7*c(n) + 5*m(n). Let j be u(7). Suppose 10*b = 57 + j. What is the units digit of b? 1 What is the hundreds digit of ((-61270)/77)/((-6)/42)? 5 Let o(g) = -g**2 - 4*g - 21. Let w be o(-5). Let d = w - -400. What is the hundreds digit of d? 3 Let u(z) = -z**3 + 21*z**2 + 73*z + 15. Let s be u(23). Suppose 11*h = 17*h - s. What is the units digit of h? 6 Let o = -2009 + 4431. What is the units digit of o? 2 Let i(g) = 7*g**2 + 33*g - 1115. What is the units digit of i(30)? 5 Suppose 12 - 40 = -2*w + 5*t, -5*w = 5*t. Suppose 4*p - 12 = -w*d, -4*d = -2*p + 2 - 8. Suppose -53 = -b + 3*c - 8*c, d*b = c + 84. What is the tens digit of b? 4 Suppose 4*n - 4 = 4*i, 0*n + n - 11 = -4*i. Suppose i*m + 2*o - 769 - 69 = 0, 5*m - 3*o - 2079 = 0. What is the hundreds digit of m? 4
(25/(-20) + 0)/(1/(-4)) 5 What is 196/42*6/7? 4 Evaluate 4/38 + 696/(-114). -6 (-2 - (-102)/24)*(-1)/3 -3/4 What is the value of (5/25)/(8/(-40))? -1 What is the value of (-15)/22 + (-10)/(-20)? -2/11 What is the value of 9/12 + (1430/(-40))/(-11)? 4 What is the value of (-72)/8 - -5 - 3? -7 Calculate -13 + 12 + -5 + 13. 7 Calculate 2/22 - (-3)/(-33). 0 (1/(-1))/(21/63) -3 What is (-3)/(12/14)*-2? 7 (2 + 1)*(-51)/(-1836)*4 1/3 What is the value of ((-3)/10)/(3/4)? -2/5 Calculate (((-3)/(-30))/(-1)*2)/1. -1/5 (13/((-39)/(-27)))/(3/(-2)) -6 Calculate 5/(-3)*120/50. -4 What is the value of ((162/(-144))/3)/(3/2)? -1/4 Calculate (4 - (-5 + 1))*(-72)/96. -6 What is 0 - (-129)/78 - (-8)/(-52)? 3/2 What is (3/42)/((25/20)/(-5))? -2/7 1/(-5) + (-12)/60 -2/5 Calculate (-57)/(-228) - ((-7)/(-12) + -1). 2/3 ((-5)/(-4)*4)/(5 - 6) -5 Calculate (1/(-3))/1 - 26/(-78). 0 What is the value of 13 + (3 - 7 - 4)? 5 Evaluate (1/(-4))/(100/(-32)). 2/25 (-20)/4 + 4/(128/156) -1/8 Calculate (-6)/8 - (-532)/(-912). -4/3 Evaluate (-6)/(-27) - (9 + -9). 2/9 Evaluate -2 + 7 + -11 + 4. -2 Calculate 6/(-18) - 1/(-21). -2/7 What is the value of (42/(-35))/((-6)/(-15))? -3 Calculate (-5 + 10)*(1*-4 + 3). -5 What is the value of (-60)/(-75)*(-10)/(-28)? 2/7 What is the value of (9/(36/32))/(-2)? -4 What is 9/945*329 - 3? 2/15 Calculate 4 + ((-64)/6)/4. 4/3 Evaluate (1 - 4) + 2 - (-2 + -4). 5 Evaluate ((-4)/(-2))/(6/54*-3). -6 Evaluate (-10)/6 - (-66)/18. 2 (644/(-56))/23*3/(-4) 3/8 What is 2/(-6)*(-20 + 14)? 2 What is the value of (-8)/(-126) - 2/7? -2/9 What is (10/12 - 1)*(-7 - -9)? -1/3 Calculate 4/(-8)*2 - 1*-5. 4 What is (-13)/(-6) - (-41 - -43)? 1/6 What is the value of 2/10*2*(-45)/(-6)? 3 (2/(-3))/(12 + 142/(-12)) -4 Evaluate 0 + (-4)/14 - (-1224)/119. 10 Evaluate ((-18)/63)/(-1 + -3 + 2). 1/7 What is 102*2/60 + (-2 - 1)? 2/5 What is -5*(-2)/(-8)*(-90)/225? 1/2 What is the value of (189/(-18) - -8)/(-1 + 6)? -1/2 (-90)/(-63) + 3 + -5 -4/7 What is 4*58/(-36) + (-52)/(-117)? -6 Calculate ((4 + -2)/(-2))/(57/285). -5 Calculate (3 + (-2)/(-6))*6/(-4). -5 (-3)/((4/(-6))/(10/45)) 1 What is (-1)/(-3)*-15*(4 + -3)? -5 Calculate (14 + -9)*(-1)/(-5). 1 10/(4/(-10) + 16/(-10)) -5 Evaluate (0 + -165)/11 - -10. -5 (-2 - -1) + (-36)/18 -3 What is (-1 - -2)*(-12 + 17)? 5 Calculate -1 + 0 - (79 + -84). 4 What is 15/5 + -3*(-8)/(-6)? -1 Calculate 9/(-3) - (-2)/(-5)*-7. -1/5 592/(-64) - -15 - 1/(-4) 6 2 - (-10 - -8 - 6*-1) -2 Calculate ((-18)/(-21))/(1*3/14). 4 What is (4/(-1) + 4)/(-10 + 7)? 0 What is (3/(-3))/((-1)/(-2))? -2 Evaluate (-6)/(64/(-8 + 4)). 3/8 Evaluate 6/9 + 8/(-84). 4/7 What is (1 - 0/(-12))*2? 2 What is 5/3 + 2/(-3)? 1 Calculate (-1)/12*3*4/(-8). 1/8 What is (-1 - (-2 - -1)) + (9 - 4)? 5 (2/10)/(148/40 - 4) -2/3 What is (-2)/(-18) - 13/819? 2/21 Calculate 111/(-185)*4/(-6)*1. 2/5 Evaluate 27/(-3) - 2*-9. 9 What is (5 - 0) + 2/(-16)*-24? 8 Evaluate (-68)/11 - 28/(-154). -6 Evaluate (3/2)/(210/20). 1/7 What is the value of -1 + -2 + (-875)/(-275)? 2/11 What is 5/((-50)/(-80)) - 8? 0 What is (1/(-2))/((-39)/234)? 3 Calculate 15/(60/32) + (-144)/9. -8 What is the value of 3/6 - 3/(-18)? 2/3 Calculate 3 - (10/30)/(2/(-6)). 4 -3 + 3 + 1*(3 - 4) -1 What is (6/8)/((-15)/20)? -1 Calculate (60/7 + -9)/(8/14). -3/4 2 - 3 - (1/(-5) + -1) 1/5 Calculate 9/(-25)*225/(-135). 3/5 Evaluate ((-1)/(15/10))/((-7)/(-3)). -2/7 (-8 - -11)*2/(-6)*-2 2 What is the value of 0 - ((-42)/40 - (-8)/10)? 1/4 Calculate 2/(-9) + (-1748)/(-414). 4 Evaluate (0 - 10/35)/(8/(-12)). 3/7 ((-18)/24)/(5/(-20)) 3 What is (-8)/20 - 7/(-30)? -1/6 Calculate (-6)/4*(-2)/(2 - -10). 1/4 What is -11 - 25/(-5) - 42/(-8)? -3/4 Evaluate 2/(((-63)/(-42))/((-6)/(-8))). 1 Evaluate (225/120*(-4)/10)/(-1). 3/4 What is the value of 8*(-1)/(-12) + -1? -1/3 Evaluate ((-10)/4)/(3*10/60). -5 What is 5/2*5/(-75)? -1/6 What is the value of ((-5)/(75/10))/(-2)? 1/3 What is ((-7)/21)/(4/48)? -4 Calculate 1*3 + (2640/45)/(-16). -2/3 Evaluate ((-3)/3)/(1/2). -2 Evaluate ((-10)/(-4) - 4)/(39/4). -2/13 What is the value of 0*-2*2/8? 0 What is the value of (-34)/8 - 27/36? -5 What is the value of (5 - 96/20)/(-1)? -1/5 Calculate 5/((-15)/(-9))*1/3. 1 ((-1)/5)/(589/190) -2/31 (-2)/(-20)*7/((-28)/(-15)) 3/8 Evaluate (-16)/60 + (-4)/12. -3/5 What is -15 + 2 + (-42)/(-6)? -6 What is the value of (-46)/5 + (-216)/(-24)? -1/5 7 + 11 + -18 + (-1)/6 -1/6 Evaluate (-123)/(-246) - (-1)/(-14). 3/7 What is the value of 6 + 188/(-20) + 3? -2/5 (-3)/9 + (50/(-21) - -3) 2/7 Evaluate 2 + ((-2)/13 - 476/(-221)). 4 Calculate (-1*4/2)/(5 + 0). -2/5 Calculate 2/12*(-60)/(9 - 14). 2 What is the value of (12 + -11)/((-6)/48)? -8 What is the value of (-4)/34 - (-3366)/(-867)? -4 Evaluate (-243)/108*(-24)/(-9). -6 What is the value of 8/14 - (-730)/511? 2 Calculate (1 - 2)*(-8 - -9). -1 What is the value of (16/(-132))/(1/(3/(-2)))? 2/11 Calculate (-704)/(-96) + (-1)/3. 7 What is ((-1370)/210 - -7)*(-6)/5? -4/7 What is 4/(-14)*(8 - (4 - 10))? -4 (-40 + 39)/(2/14) -7 What is (-2)/(-7) - (3800/112)/19? -3/2 Evaluate 1/2*(5 - -3). 4 (-45)/(27 + -12)*(-4)/(-42) -2/7 What is the value of 6/(-33) + (-36)/165? -2/5 Evaluate ((-2)/(-4))/1*(-92)/138. -1/3 (-8)/(-16) + 15/(-10) + 4 3 (10/(-4))/(19/38) -5 Evaluate (-2)/7*-2 - 44/77. 0 (-5)/((2/8)/(4/(-16))) 5 What is the value of (((-1)/2)/((-3)/(-6)))/(-1)? 1 Evaluate (1/5)/(56/(-40)). -1/7 Calculate (-284)/(-213) - 10/(-6). 3 What is -4*(-4)/(-32)*2? -1 Evaluate -1*2/8*4. -1 Evaluate (-4)/(-6)*72/40. 6/5 Evaluate (-2 - 3 - -3)/14. -1/7 (((-12)/(-2))/(15/(-10)))/14 -2/7 What is 3 + 295/(-25) + 9? 1/5 What is the value of 629/(-306) + (-5)/(-90)? -2 (2538/315 + -8)*-7 -2/5 (3/(24/2))/(41/328) 2 Evaluate (1 + 1)/(16 - 2). 1/7 Evaluate ((-2)/((-12)/(-18)))/(-1). 3 (-1)/(-6*1) - 21/14 -4/3 Evaluate 32/12 + (-1)/(-1) + -4. -1/3 What is 2/(-5 + (2 + -5)*-1)? -1 What is the value of 0 - -1 - 20/(180/(-27))? 4 Evaluate 24/(-40)*(-8)/(56/35). 3 What is 0/(2*(-2)/4) - -1? 1 2/(-3 + (-33)/(-9)) 3 Evaluate 1/(-1) - (6/2 - 1). -3 (-6)/2 + (-518)/(-182) -2/13 Calculate 3*((-40)/36 - -1). -1/3 Evaluate (-13)/(-6) - 3 - (-1)/2. -1/3 Evaluate (11/((-330)/(-12)))/(1/5). 2 What is (-1)/5 + (-48)/210? -3/7 -1*(2/6)/((-13)/(-39)) -1 What is the value of -6 + 4 + 6*(-5)/(-15)? 0 Evaluate -1*1/4*27/(-54). 1/8 (27/(-21) - -1)*(-18 + 11) 2 (-7)/(315/100) + 2 -2/9 What is the value of 9/((-45)/20) + (10 - 1)? 5 What is the value of 102/13 - (-1 + 9)? -2/13 Evaluate 90/54 - 104/12. -7 Evaluate (-21)/(-15) + (-18)/45. 1 Evaluate 45/135*(3 + 6). 3 What is (1 + (-13)/7)*140/(-30)? 4 What is (3 + (-35)/15)/((-7)/3)? -2/7 (-6)/((-12)/4)*(-2)/(-4) 1 Calculate ((-140)/315)/((-4)/(-18)). -2 Calculate (1/2)/(9/48*12). 2/9 Calculate 2*(-2)/(-32) - (-495)/264. 2 Evaluate (28/8)/((-49)/(-70)). 5 What is the value of (1/2)/(14/112)? 4 Evaluate 12/(-3) + 4 - (11 + -6). -5 Calculate 8/28 - (-6)/(-70). 1/5 What is the value of (27 + -9)/(-36)*(-8)/(-1)? -4 1 + 8/4 + -8 -5 (-16)/4*(-29)/522 2/9 Evaluate 4/10*(-10)/(-14). 2/7 What is (-192)/(-135) - 0 - (-66)/(-55)? 2/9 Calculate (-1*2/8)/(204 + -202). -1/8 Calculate -66*(-8)/96 + -2. 7/2 What is 160/(-26) - -8*42/56? -2/13 Evaluate ((-21)/(-18))/(((-896)/(-120))/16). 5/2 What is 2 - 2 - (-90)/72? 5/4 1/(-4) + 8/((-288)/243) -7 What is (3 + 36/(-8))/3? -1/2 What is the value of (124/(-12) - -5) + 4? -4/3 Calculate -3 - ((-26)/12 - (-8)/(-48)). -2/3 What is the value of ((-4)/(-56)*-8)/(4 - 2)? -2/7 What is -8 + 10/105 + (-738)/(-189)? -4 Evaluate 40/224 - (-1 + 20/14). -1/4 What is (-4)/1 - (-104 - -109)? -9 (-425)/(-500) - (-1)/(-4) 3/5 What is the value of (2 - 44/10)/(-3 - -1)? 6/5 What is 3/(-50)*((-520)/39)/(-10)? -2/25 What is (-14)/2 + (0 + -22 - -28)? -1 What is (180/400)/((-6)/64) + 4? -4/5 Calculate 5 - (-7)/(-1) - -10. 8 Evaluate 558/(-3255)*(-10)/(-6). -2/7 What is the value of (4 + (-372)/99)*45/30? 4/11 Calculate ((-3)/18)/(2/(-9)). 3/4 Calculate ((-1)/(-2))/((-2)/(-12)). 3 What is (-22)/(-26) - (2 + 56/(-26))? 1 What is the value of (-14 + 8)*(-1)/39? 2/13 What is the value of 0/(((-36)/6)/(-3))? 0 Evaluate ((-55)/(-20) + -2)/(27/72). 2 Evaluate ((-34)/56 - (-4)/(-16)) + 1. 1/7 What is the value of (-2)/3*((-273)/(-70))/13? -1/5 What is the value of (-9)/(-108) + (-4)/(-24)? 1/4 (-57)/21 - (-3 + 46/14) -3 -2 + 39/(-65)*30/(-9) 0 Evaluate -4 + 4 + (-5)/((-30)/9). 3/2 Evaluate (-1566)/9570 - 4/(-11). 1/5 Calculate (1/(-2))/(153/(-102)). 1/3 Calculate (1/(-5))/(3*(-6)/18). 1/5 What is (-15)/(-75) + (108/15)/4? 2 What is ((-2)/(-9))/((-8)/(-24))? 2/3 Evaluate (-124)/10 - 1200/(-100). -2/5 Calculate (-5 + 204/30)/(21/70). 6 -14 + 18 - (-2 - -1) 5 Calculate 31/(-24)*1 + 15/(-40). -5/3 What is the value of 14 - (-7 + 14) - 2? 5 Calculate (5168/440)/(-19) - 2/11. -4/5 Calculate (-72)/32*(-11)/(-33). -3/4
Express (6*n**2 + 2*n**2 - 6*n**2)*(0*n - n + 3*n) + (-2*n**2 + 5*n**2 - n**2)*(4*n - 3*n + 0*n) in the form h*n + a + u*n**2 + v*n**3 and give v. 6 Express 2*r**3 - 19*r**2 + 21*r**2 + 46*r**4 - 3 - 44*r**4 in the form l*r + z*r**2 + b*r**4 + p + y*r**3 and give y. 2 Express (106 - 106 - 7*g)*(-g - 5*g + 3*g) + (2 + 2 - 3)*(2*g**2 - g + g) in the form l*g + k*g**2 + s and give s. 0 Rearrange 76*k + 10*k + 41*k + 35*k to f*k + c and give f. 162 Express (387*r**2 + 0*r - 5*r**3 + 2*r - 384*r**2)*(3 + 0 + 2*r - 12) as o*r + p*r**3 + n + y*r**4 + t*r**2 and give o. -18 Express -90 - 117 + 23*c - 9*c - 15*c in the form j + h*c and give j. -207 Rearrange 50*h**2 + 15*h**2 + 2*h + 49*h**2 + 533 - 533 to the form a*h**2 + q + c*h and give c. 2 Rearrange (-14*i + 13*i + 4*i)*(-37 + 5*i + 37)*(2*i + 4*i - 4*i) to f*i + c + k*i**3 + q*i**2 and give k. 30 Rearrange -13*i**3 - 13*i**3 + 41*i**3 - 14*i**3 + 6*i - 3*i**2 to y + h*i**2 + l*i**3 + g*i and give g. 6 Express 2*x - 446*x**2 + 3 + 445*x**2 + x + 9*x**3 - 7 as z*x**2 + i*x**3 + p*x + f and give p. 3 Express (y - y**2 - y)*(268 - 3*y - 131 - 143) in the form c + p*y + b*y**2 + u*y**3 and give u. 3 Express (10 - o**3 - 10)*(-26*o + 14*o - 28*o) as b + r*o**3 + j*o + w*o**2 + a*o**4 and give a. 40 Express 5*b**3 - 6*b - 3*b**4 + 14*b + 17*b**2 - 5*b**3 - 10*b in the form o + w*b + p*b**3 + y*b**2 + x*b**4 and give x. -3 Express 98*w - 248*w**3 - 102*w + 0*w**3 as u + k*w**2 + c*w**3 + y*w and give k. 0 Rearrange -4 - h + 27*h + 13*h + 5*h to f + x*h and give x. 44 Rearrange (56 + 0*x - 39 - 2*x)*(1 + 1 - 4)*(10*x + 7*x - 6*x) to the form h*x**2 + g*x + b and give b. 0 Express (-13*k**4 + 6*k**4 + 9*k**4)*(8 + 1 - 5) in the form n*k**4 + f + o*k**2 + d*k + h*k**3 and give n. 8 Express (-2 + 0 + 1)*(-6 + 6 - 12*b)*(0 - 2 - 2) - 29*b + 49 - 49 as p + x*b and give x. -77 Rearrange 4*s**2 + 15*s**2 + 6*s**2 + 2*s**3 - 5*s - 23*s**2 to m + a*s**2 + d*s**3 + i*s and give a. 2 Rearrange -245*l**2 + 21*l**3 + 3*l + 78*l**2 + 83*l**2 + 85*l**2 to the form d + n*l**3 + g*l**2 + m*l and give n. 21 Rearrange (y**2 + 4 - 1820*y + 1761*y - 5*y**2)*(2*y**2 - 4*y**2 + 3*y**2) to the form t*y**2 + j*y**4 + k*y + p*y**3 + i and give p. -59 Express -3*p**3 - 484*p - 1 - 480*p + 972*p + 2*p**2 as s*p**3 + r*p + l*p**2 + f and give l. 2 Express h**2 - 3*h**2 + 3*h**2 + (14 + 23 - 8)*(2*h - 2 - 3 + 4 - h**2) as d + w*h**2 + g*h and give g. 58 Rearrange -64*h - 22 + 22 to n + u*h and give u. -64 Rearrange j**3 + 2 - 4*j**2 + 0 + 2*j + j**2 + (-2*j**3 + 0*j**3 + 4*j**3)*(-3 - 3 + 12) to q + c*j + b*j**2 + a*j**3 and give q. 2 Rearrange (n + 2 - 2)*(-141*n**2 - 103*n**2 + 342*n**2) to s*n + k*n**3 + j + y*n**2 and give j. 0 Express 20*k - 123 + 12*k - 47*k + 17*k in the form w*k + a and give a. -123 Express (-2*h - 2*h + 5*h)*(2 + 3 - 3) - 55 + 55 - 15*h + (-3 + 1 + 1)*(6*h + 6 - 6) as n*h + f and give n. -19 Express (22 - 3*i + 18 - 42)*(-i - 3*i + 3*i) in the form a + r*i**2 + k*i and give k. 2 Express 11*d**4 - 2*d + d + 13*d**3 - 10*d**4 - 7 + 23*d**3 as h*d + l*d**4 + a*d**2 + j + q*d**3 and give l. 1 Express -5*x**4 + 4*x**4 + 2*x**4 + (1 - 1 + 1)*(-x**3 + x**3 - 2*x**4) + 399*x**4 + 360*x**4 + 430*x**4 as g*x + u + l*x**2 + r*x**4 + q*x**3 and give r. 1188 Rearrange -i + i + 2*i**2 + (2 - 4 - 3)*(110*i**2 + 1438 - 1438) to k*i + h + v*i**2 and give v. -548 Rearrange (-6 + 1 + 4)*(3*o**2 - 8*o**2 - o**2) - 6*o**2 + 4*o**2 + 29*o**2 to the form s + d*o + m*o**2 and give m. 33 Rearrange (-1376*q - 1389*q + 2767*q - 409)*(q**3 + q**3 + 0*q**3) to the form d*q + o*q**3 + v + p*q**2 + l*q**4 and give v. 0 Rearrange 185*t**2 - 435*t**2 + 12*t - 12*t to x*t + k + r*t**2 and give r. -250 Rearrange (-v**3 + 0*v + 0*v)*(-1 - 3 + 6) - 4*v**2 + 4*v**2 - 2*v**3 - 5228*v**3 - 69659*v**2 + 69659*v**2 to the form g*v**2 + z*v**3 + t + f*v and give z. -5232 Rearrange -22*g**2 + 5 + g + 3 - 10 - 3*g to h*g**2 + a*g + i and give i. -2 Rearrange 165 + 167 + 7*u + 2*u**3 - 354 to r*u + o + a*u**2 + z*u**3 and give a. 0 Rearrange (188 + 224 - 125)*(z - z + z) to f + j*z and give j. 287 Rearrange -41*j + 2*j**2 + 133*j - 13*j - 1 - 39*j + 0*j**2 to the form o*j + t*j**2 + b and give o. 40 Express ((-2*b - 2 + 2)*(3 - 3 + 2) + 2*b - 3*b - 2*b + (1 - 6 + 3)*(-7*b - 10*b + b))*(0 + 0 + 3) as j*b + i and give j. 75 Express (-4*y + y + 4*y)*(440 + 91 - 27) + 2 + y - 2 + (-2 - 3 + 3)*(y - 2*y - y) + y - 1 + 1 as v*y + b and give b. 0 Rearrange 3*i**2 - 3*i**2 + 2*i**3 + (-13*i**2 - 16*i**2 + 24*i**2)*(1 + 5*i - 1) to a*i + t*i**3 + x*i**2 + w and give t. -23 Rearrange -232*u - 265*u + 45*u to p*u + o and give p. -452 Express 63*y**4 + 3*y**2 + 42*y**4 + 177*y**3 - 177*y**3 - y**2 - 2 in the form w + b*y**4 + z*y**3 + f*y + k*y**2 and give w. -2 Express 0*b**2 - 4*b**2 + 52*b**2 + 71*b**2 in the form t*b**2 + x*b + f and give t. 119 Rearrange (-6*h**2 + 0*h**2 + 4*h**2)*(7 + 12*h - 7) + h**3 - h**3 - h**3 to the form g + m*h + t*h**2 + d*h**3 and give d. -25 Rearrange (-9*r + 12*r + 4*r)*(2 + r - 2) + (2 - 2 - r)*(4*r - r - 4*r) + 0*r**2 - 2*r**2 + 4*r**2 - r + r - 2*r**2 to m + w*r + d*r**2 and give d. 8 Rearrange -22*d + 9*d + 98*d + 16*d + 46*d to the form w*d + h and give w. 147 Express 26 + 15*v**3 + 26*v**3 - 42*v**3 + 3*v**2 in the form b*v**3 + c*v + j + t*v**2 and give b. -1 Rearrange 1166*j**2 + 181311*j - 181312*j + 87*j**2 to s*j + c + z*j**2 and give z. 1253 Rearrange s**2 + 24*s - 1 + 3*s**3 + s**4 + 0 - s**3 + 0*s**3 to j + t*s**2 + l*s + g*s**4 + n*s**3 and give n. 2 Rearrange 3 - 3 - 63*k**2 - 1 + 3 + 123*k**2 to the form r*k + q + l*k**2 and give q. 2 Express 2*w**4 + w**2 - w**2 + 0*w**4 - w**4 - w**4 + (-66*w + 37 - 37)*(0*w**3 - 4*w**3 + w**3) as p*w**2 + f*w + b*w**3 + c + a*w**4 and give a. 198 Rearrange (0*q + q - 3*q)*(-18 + 36 + 32) to the form a + h*q and give h. -100 Express -74 + 145 + 366*j**2 - 69 in the form p*j + w*j**2 + q and give q. 2 Express (-18*z + 21*z - 34*z)*(-4*z + z + 2*z) - 4*z**2 + 2*z**2 + 4*z**2 + (z + z - z)*(-3*z - 3 + 3) as u*z**2 + r + h*z and give u. 30 Rearrange -90*a**4 + 91*a**4 + 2*a + 46 - 41 - 2*a + a + 2*a**2 - a**3 to b*a + p*a**4 + z*a**2 + x*a**3 + g and give x. -1 Express 11840*g - 11840*g + 137*g**2 + 106*g**2 as l*g + n + t*g**2 and give t. 243 Express (r - 5*r + 2*r)*(2 - 2 + r) + 3*r**2 - 3*r - 63*r - 6*r + 1 in the form m*r + v*r**2 + k and give v. 1 Rearrange (64*y + 21*y + 2*y - y**2)*(-y + y + 2*y**2) to the form r + c*y**3 + h*y**2 + d*y + b*y**4 and give h. 0 Rearrange l**2 + 2*l**2 - 25*l**2 - l**2 + 3*l**2 - 10*l**2 + (0 + 0 + 3*l)*(-2*l + 5*l + l) to a*l + z + g*l**2 and give g. -18 Rearrange -2*q**3 - 5*q**2 + 3*q**3 + 6*q**3 + 3*q**3 + 3*q**3 + 16*q**4 to the form y*q**2 + k*q**4 + d*q**3 + l*q + u and give y. -5 Express 32 - 36*w - 37 - 15*w as v*w + k and give k. -5 Rearrange (-3*t + 3*t + 2*t)*(-4 + 1 + 5) + (0 + 3 - 3*t - 5)*(-15 - 13 - 5) to l*t + w and give l. 103 Rearrange d**3 + 0 + 3*d**2 - 5*d**4 - 1 + 14*d**4 - 8*d**2 - 8*d**4 to the form t*d**2 + s + m*d + z*d**4 + q*d**3 and give t. -5 Rearrange (4*v**4 + v**4 - 4*v**4)*(-27 + 1 - 30) to the form y + s*v**2 + z*v + o*v**4 + r*v**3 and give o. -56 Rearrange -104*m**2 - 5*m + 0*m - 3*m + 45*m**2 to the form y + d*m**2 + q*m and give d. -59 Rearrange (-32 + 25 - 34)*(2 - 5*s - 2) + s - 3 + 3 to y*s + m and give y. 206 Rearrange (9*q - 5*q + 6*q)*(-1 + 0 - 1)*(11*q - 4*q - 4*q) to i + x*q + l*q**2 and give l. -60 Express -3*n**3 + 3*n**3 - 2*n**4 + (21 + 16 + 86)*(0*n**4 + 3*n**4 - 2*n**4) in the form a*n**4 + p + g*n**2 + v*n**3 + i*n and give a. 121 Express 4*o - 11*o**3 + 5*o - 5*o + 19*o**3 + 2 + 0*o as v*o**3 + g + n*o + p*o**2 and give v. 8 Express -3 + 261*m - 4*m**3 + 3*m**4 - 262*m + 1 + 2*m**2 in the form n*m**3 + k*m + a*m**2 + r + h*m**4 and give r. -2 Rearrange -44*k**2 + k - 4*k - 5*k**4 + 4838*k**3 - 4836*k**3 + 3*k to the form v*k**2 + b*k**4 + s + a*k + j*k**3 and give j. 2 Rearrange -4*i + 3 - 14*i + 18*i - 46*i to the form y*i + n and give y. -46 Rearrange (-1 + 1 - 7*h**2)*(-2 - 6*h - 632*h**2 + 1 + 639*h**2) to the form l*h**4 + i*h + m*h**2 + w + b*h**3 and give b. 42 Rearrange 0*g**3 - 9*g**3 - 5*g**3 + 9*g**2 + 2*g**2 + 24*g**3 to the form u*g**2 + d*g + p*g**3 + s and give u. 11 Express 5 + 33*p - 36*p - 105 as i + k*p and give i. -100 Rearrange -s - 132 + 46*s + 3*s**3 - 44*s to y*s**2 + l*s + x + t*s**3 and give t. 3 Rearrange -1 - 2*l + 1 + (-l - 2 + 2)*(5 + 1 + 13) - 2*l + l + 0*l - 2*l + 0 + 0 to a*l + b and give a. -24
What is the remainder when (21/(-9) - -2)/(-1 - (-4942)/4956) is divided by 103? 15 Suppose 210 = 3*q + 3*l - 5*l, 0 = -3*q + 3*l + 210. Suppose -183*s + 186*s - 54 = 0. Calculate the remainder when q is divided by s. 16 Let j = -27 - -56. Calculate the remainder when (5 - (-277)/2)/((-2)/(-4)) is divided by j. 26 Let p = 514 - 116. Let w = p - 354. Calculate the remainder when w is divided by 9. 8 Let a(y) = 6*y + 38. Let b be (1*-3)/(-1) + -60 + 57. What is the remainder when a(b) is divided by 13? 12 Suppose -560 = -4*q + 4*h, 4*h = -4*q - h + 587. Calculate the remainder when q is divided by 13. 0 Suppose -3*s + 755 = 4*k, 200*k - 197*k - 5*s = 588. What is the remainder when k is divided by 143? 48 Let u = 41027 + -41022. Calculate the remainder when 6138 is divided by u. 3 Let h = 2138 + -1367. Calculate the remainder when h is divided by 257. 0 Let h be ((-9752)/(-230))/((-4)/(-10)). Calculate the remainder when ((-2)/4 - 0)/((-1)/h) is divided by 35. 18 Let u = -7077 - -7927. Calculate the remainder when u is divided by 96. 82 Suppose -8*n + 48 + 677 = 17*n. What is the remainder when 424 is divided by n? 18 Suppose -10*n + 20 = -9*n. Let q(a) = -a**2 + a + 25. Let j be q(0). Let z = j - -53. What is the remainder when z is divided by n? 18 Let b(f) = -f**3 - 7*f**2 + 9*f - 7. Let d be b(3). What is the remainder when (d/(-30) - (-4)/6) + 41 is divided by 23? 21 Let l be (-3 - -17)*(2 + 2 - 2). Suppose 0 = -18*w + 4*w - l. What is the remainder when 14 is divided by ((-10)/(-2))/(w - -3)? 4 Calculate the remainder when 1695 is divided by 20621/85 + 6/15 + 0. 237 Suppose -715 - 1529 = -22*s. Calculate the remainder when s is divided by 13. 11 Let c(n) = -n**3 + 5*n**2 + 24*n + 11. Let y be (-2)/(-4) + 0 - (-225)/30. Calculate the remainder when 96 is divided by c(y). 8 Suppose 73*b + 187*b - 415*b + 1705 = 0. What is the remainder when (118/4)/((-7)/(-28)) is divided by b? 8 Let x be (-8 + 6 + 2)/(-3). Calculate the remainder when 400 is divided by 10*1/1 + x + 3. 10 Let x = -5809 + 5860. What is the remainder when 168 is divided by x? 15 Let f(y) = -y**2 - 5*y + 12. Suppose -5*l + 165 = 35. Let p = -5 + l. What is the remainder when p is divided by f(0)? 9 Let y(x) = -4323*x**3 - 2*x**2 - 72*x - 70. Calculate the remainder when y(-1) is divided by 14. 11 Calculate the remainder when ((-4)/(-5)*-7)/(-4 + 9816/2460) is divided by 182. 28 Suppose -3*q = -2*i - 4094, 2*q + 5*i - 1955 - 806 = 0. What is the remainder when q is divided by 668? 32 Let r be (-2)/18 + (-968)/36. Let u = 18 + r. Let w = 20 + u. Calculate the remainder when 41 is divided by w. 8 Suppose 0 = -1340*w + 1344*w - 288. What is the remainder when 568 is divided by w? 64 Suppose -5*y + 7 + 13 = 0. Suppose 0 = -8*b - 296 - 944. Let r = 170 + b. Calculate the remainder when r is divided by y. 3 Let f(z) = -7*z**3 - 4*z**2 - z - 4. Let g be f(-4). Let m = 523 - g. Calculate the remainder when m is divided by 46. 1 Suppose -4*b - 166 = -3*k - 0*b, b - 53 = -k. What is the remainder when 1*-1 + (2048/(-16))/(-8) is divided by 8/(-6) + 450/k? 1 Suppose -6*c = -353 + 77. Suppose 0 = j - 63 + c. What is the remainder when 32 is divided by j? 15 Let f be 1/(-8) - 1260/(-96). Suppose 70 = f*p - 3*p. Calculate the remainder when -1*2/2*-19 is divided by p. 5 Suppose -3*j - 594 = -0*j - 14*j. Calculate the remainder when 214 is divided by j. 52 Let a(w) = w**3 + 3*w**2 + w + 109. Suppose 0*l = 5*l - 20. Suppose q = 5*p - 115, 2*p + l*q = 4 + 20. Calculate the remainder when a(0) is divided by p. 21 Suppose -2728 = -0*u - 44*u. Calculate the remainder when 290 is divided by u. 42 Let h = -37 - -83. Let i = h + -20. Let t(q) = q**3 - 3*q + 74. What is the remainder when t(0) is divided by i? 22 Let d = 97 + -99. What is the remainder when 4*-2*((-18)/3 - d) is divided by (-34)/(-3) - 1/3? 10 Let y = 119 + -110. Calculate the remainder when y - (9/(-3))/(-1)*-1 is divided by 2. 0 Suppose u - 3 = 0, -3*o + 305 = -3*u - 46. Suppose 678 + o = 14*m. What is the remainder when m is divided by 12? 9 Let b(q) = q**2 - 30*q - 14. Calculate the remainder when 94 is divided by b(32). 44 Let a(l) = -60*l**3 - 2*l**2 + 37*l + 106. Calculate the remainder when a(-4) is divided by 28. 14 Suppose 470 = -10*f - 75*f + 16960. What is the remainder when 399 is divided by f? 11 What is the remainder when -22*((-138)/46)/(33/12 - 2) is divided by 44? 0 Let r(v) = 16*v**2 - 8*v + 9. Let t be r(2). Suppose 19*b - 627 = t. Calculate the remainder when 69 is divided by b. 33 Suppose 18*m - 124 = -13*m. Suppose m*s - 113 = -5*k, s - 34 = -3*k + 3. Calculate the remainder when 285 is divided by s. 21 Let i = 1673 + -2591. Let j be (-1 - i/(-21)) + (-4)/14. Let r = j + 65. Calculate the remainder when 59 is divided by r. 19 Suppose 40 = 3*k - 26. Let s be 4/6*(-3)/(-3)*6. Suppose 0 = s*z + 2*b - 148, -5*z + 218 - 24 = -2*b. What is the remainder when z is divided by k? 16 Let f = 110 + -99. Suppose -2 = 3*c + 5*x + f, 3*c - 27 = 3*x. Suppose -3*d - 4*p = -p - 69, c = -4*p. What is the remainder when 39 is divided by d? 15 Let w = -34 - -39. Suppose -3*g = -1 - w. Suppose 5*t - 45 = -z, -g*t - 3*t = 4*z - 30. Calculate the remainder when t is divided by 4. 2 Suppose -1597 + 3938 = -131*d + 43475. Calculate the remainder when 314 is divided by d. 0 Suppose -5*c - 15*z + 18*z = -9986, c + 3*z = 2008. What is the remainder when c is divided by 41? 31 Suppose 11 = 4*z + 3*v, 0 = 5*z - 9*v + 4*v - 40. What is the remainder when 24 is divided by z? 4 Suppose -22*u + 96 = -36. What is the remainder when 177 is divided by u? 3 Suppose 5*g = 8*g + 834. Let r = g - -489. Let f = -110 + r. What is the remainder when f is divided by 17? 16 Let x(d) = 0 - 6*d**2 - 6 - 2*d**3 + 3*d**3 - 3*d. Let r be x(6). Let y = -23 - r. What is the remainder when y is divided by 1? 0 Let u(i) = -123 + 73 + 38 - 9*i + 47. Let j be u(3). Suppose -j*g - 5*q = -12*g - 21, 2*q = 5*g + 5. Calculate the remainder when g is divided by 1. 0 What is the remainder when 1400 is divided by 82 + 4 + (-17 + 1)/2? 74 Let j = 23 + -19. Suppose 2 = -w, t + 365 = j*t + 2*w. Calculate the remainder when t is divided by 18. 15 Let s = -518 + 837. Let l = 333 - s. Calculate the remainder when l is divided by 5. 4 Suppose 1157 = -68*o + 7889. Calculate the remainder when 486 is divided by o. 90 Let j = 31 + 33. Let l = 173 + -167. Calculate the remainder when j is divided by (l + -3)/((-6)/(-68)). 30 Suppose 0 = -4*s - 3*o + 11, 4*o = -2*s + 3*s + 2. Suppose 0 = -2*l - 4*x + 288, 0 = -x - s*x + 9. What is the remainder when l is divided by 48? 42 Suppose 139*a - 27265 + 6415 = 0. Calculate the remainder when a is divided by ((-1)/(-3))/(2/102). 14 Let d(i) be the second derivative of 4*i**3/3 + 23*i**2/2 - 37*i - 1. What is the remainder when d(16) is divided by 22? 19 What is the remainder when 49 is divided by (6/(-9))/(-14 - 320/(-24))? 0 Suppose 9 = j + 2*x, 0 = -0*j + j + x - 9. Let r be 3*6*(-5)/(-45). Calculate the remainder when 14 - ((-4)/(-2 - -6) - r) is divided by j. 8 Let u = 2016 + -2002. Calculate the remainder when 657 is divided by u. 13 Let f be -2 + 1 - (-2 - 0). Let z(p) be the second derivative of 10*p**4/3 - p**3/6 + p**2 + 669*p. What is the remainder when z(f) is divided by 7? 6 Suppose 0 = -j - 4*h + 69, 2*j - h = -3*j + 282. Let w = 149 - j. Calculate the remainder when w is divided by 120/48*(-2 + 144/15). 16 Suppose -5578 = -3*w - 4*z, 7429 = -36*w + 40*w - 3*z. What is the remainder when w is divided by 10? 8 Let y(t) = t**3 - 2*t**2 + 3*t - 3. Let b be y(2). Let a(g) = g**3 + g**2 - 5*g - 7. Calculate the remainder when 1*3 - (0 - 65) is divided by a(b). 12 Let x(n) = 7*n - n**3 + 8*n**2 - 5*n**2 + 0*n**3 - 2. Let c be x(8). What is the remainder when c/(-8) - (-7)/(-28) is divided by 6? 3 Let f(l) = -58*l**2 - 815*l - 7. Let a be (0 - -1) + (-1)/(-1). Suppose -a*z = 4, -z - 71 = -q + z. What is the remainder when q is divided by f(-14)? 32 Let n(v) = 8*v**3 + 3*v**2 - v - 2. Let p be n(2). Let i = p - 78. What is the remainder when 29 is divided by (2 + 22)*(-4)/i? 13 Let j = -13 - -12. What is the remainder when 45 is divided by (-3 - -5)*((j - -7) + 0)? 9 Let p = -19912 - -21001. Calculate the remainder when p is divided by 120. 9 Suppose -34*z + 7*z = 108. Let g be -8 - -10 - 3*1. What is the remainder when 109 is divided by g + -1 - 72/z? 13 Let d(b) be the second derivative of 17*b**4/12 - b**2/2 - 4*b. Suppose 0 = j + 2 + 3, -o = -j - 116. What is the remainder when o is divided by d(-1)? 15
Let -2*p**4/5 - 3382*p**3/5 - 20244*p**2/5 - 40456*p/5 - 5392 = 0. Calculate p. -1685, -2 Solve -z**3 - 1834*z**2 - 842720*z - 1678112 = 0. -916, -2 Solve 2*f**2/9 - 8840*f/9 + 87800/3 = 0. 30, 4390 Suppose f**5 + 100*f**4/3 + 186*f**3 - 4784*f**2/3 + 893*f + 1444/3 = 0. Calculate f. -19, -1/3, 1, 4 Factor 3*z**3 - 3036*z**2 + 933543*z - 90656766. 3*(z - 538)*(z - 237)**2 Suppose 2*o**2 + 1258*o - 90220 = 0. Calculate o. -694, 65 What is p in -2*p**2 - 26582*p + 106360 = 0? -13295, 4 Let -3*w**5/5 - 486*w**4/5 - 15114*w**3/5 + 398952*w**2/5 + 841317*w/5 + 427734/5 = 0. Calculate w. -89, -1, 18 Let w**4/4 + 1791*w**3/4 = 0. Calculate w. -1791, 0 Solve -l**5/5 + 2754*l**4/5 + 8274*l**3/5 - 8264*l**2/5 - 3861*l + 16542/5 = 0 for l. -3, -2, 1, 2757 Suppose 2*m**3/11 + 1624*m**2/11 - 13106*m/11 + 11480/11 = 0. What is m? -820, 1, 7 Suppose -4*z**4/7 - 372*z**3/7 - 3760*z**2/7 - 12624*z/7 - 13120/7 = 0. What is z? -82, -5, -4, -2 Let -2*s**5/11 + 2076*s**4/11 - 32698*s**3/11 - 6224*s**2/11 + 93960*s/11 + 65408/11 = 0. Calculate s. -1, 2, 16, 1022 Factor 3*h**3/8 + 69*h**2/8 + 24*h - 171/2. 3*(h - 2)*(h + 6)*(h + 19)/8 Factor -v**3/5 - 578*v**2/5 - 2291*v/5 + 574. -(v - 1)*(v + 5)*(v + 574)/5 Factor -y**3/5 - 421*y**2/5 + 1272*y/5. -y*(y - 3)*(y + 424)/5 Find v such that -3*v**2/8 + 1935*v/4 + 25125 = 0. -50, 1340 Let 3*g**5 - 1149*g**4/7 + 2673*g**3/7 + 15369*g**2/7 - 12234*g/7 - 4680/7 = 0. What is g? -3, -2/7, 1, 5, 52 Factor l**4 - 49*l**3 + 515*l**2 - 887*l + 420. (l - 35)*(l - 12)*(l - 1)**2 Factor -f**2 - 46938*f - 550793961. -(f + 23469)**2 Find v, given that -3*v**2/2 - 39*v/2 - 60 = 0. -8, -5 Solve 5*v**4 - 275*v**3 - 7000*v**2 - 37500*v = 0 for v. -10, 0, 75 Factor -5*j**2 - 346760*j - 346755. -5*(j + 1)*(j + 69351) What is l in l**4/3 - 664*l**3/3 - 3370*l**2 - 50800*l/3 - 84875/3 = 0? -5, 679 Factor 23*m**2 + 638182*m + 27747. (m + 27747)*(23*m + 1) What is x in -102245*x**4 - 617760*x**3 - 945990*x**2 - 38880*x - 405 = 0? -3, -3/143 Find p, given that 12*p**4 - 928*p**3 + 5124*p**2 + 19168*p + 10224 = 0. -2, -2/3, 9, 71 Let -4*n**4 - 44*n**3 + 21160*n**2 + 106400*n = 0. Calculate n. -76, -5, 0, 70 Factor -3*q**2 - 3429*q + 13764. -3*(q - 4)*(q + 1147) Suppose -i**3/3 - 1220*i**2/3 + 2452*i = 0. Calculate i. -1226, 0, 6 Factor 5*n**2/4 - 2195*n + 78615/4. 5*(n - 1747)*(n - 9)/4 Let r**2/8 + 18983*r/8 + 9491/4 = 0. What is r? -18982, -1 Find f such that 2*f**2/5 - 6489252*f/5 + 5263798939938/5 = 0. 1622313 Determine t, given that 2*t**5/7 - 732*t**4/7 - 5960*t**3/7 - 8976*t**2/7 = 0. -6, -2, 0, 374 Determine p, given that -5*p**3 + 18660*p**2 + 74700*p + 74720 = 0. -2, 3736 Let -2*b**5 - 114*b**4 + 10044*b**3 - 204120*b**2 + 1294704*b = 0. Calculate b. -111, 0, 18 Find m such that 4*m**2 + 341640*m - 341644 = 0. -85411, 1 Let a**2/4 - 9223*a + 85063729 = 0. Calculate a. 18446 Determine v, given that 445*v**5/7 - 892*v**4/7 - 8896*v**3/7 + 29410*v**2/7 - 20157*v/7 + 90/7 = 0. -5, 2/445, 1, 3 Factor -3178424*u**2/3 + 2383834*u/9 - 4/9. -2*(4*u - 1)*(1191909*u - 2)/9 Factor -3*b**3/8 + 2793*b**2/8 - 79665*b - 1491075/2. -3*(b - 470)**2*(b + 9)/8 Factor 4*c**3 + 217060*c**2. 4*c**2*(c + 54265) Factor -2*a**3 - 617*a**2/3 - 10450*a/3 + 4347. -(a + 23)*(a + 81)*(6*a - 7)/3 Factor z**4 - 2928*z**3 + 2877930*z**2 - 969007752*z + 19106917389. (z - 969)**3*(z - 21) Factor -5*n**4 + 40*n**3 + 41405*n**2 - 331240*n. -5*n*(n - 91)*(n - 8)*(n + 91) Factor -2*u**2/19 + 1020*u/19 + 1232. -2*(u - 532)*(u + 22)/19 Suppose 49298*y**3/5 - 248374*y**2 + 47190*y - 2250 = 0. What is y? 15/157, 25 Factor 9055*w**3 - 10*w**2 - 9055*w + 10. 5*(w - 1)*(w + 1)*(1811*w - 2) Factor 12*z**4 - 22389*z**3 + 334035*z**2 - 1667175*z + 2776125. 3*(z - 5)**3*(4*z - 7403) Find i, given that -2*i**4 - 186064*i**3 - 4327662570*i**2 - 8654580900*i = 0. -46515, -2, 0 Let 2*p**3/7 + 15362*p**2/7 + 29491198*p/7 - 29506562/7 = 0. What is p? -3841, 1 Suppose 8*g**4 - 64160*g**3 - 1157334*g**2 - 1109210*g - 273292 = 0. Calculate g. -17, -1/2, 8038 Solve -2*i**2/7 - 454*i/7 - 21804/7 = 0. -158, -69 Suppose -t**3/3 + 4453*t**2/3 + 17833*t/3 - 22285/3 = 0. What is t? -5, 1, 4457 Factor -3*t**2/2 - 60537*t/2. -3*t*(t + 20179)/2 Factor -839*q**3/4 + 23495*q**2/8 - 10283*q + 147/8. -(q - 7)**2*(1678*q - 3)/8 Solve 3*r**2 + 2508*r - 132900 = 0. -886, 50 Factor -3*n**3/7 + 119370*n**2/7. -3*n**2*(n - 39790)/7 Determine o, given that 25*o**3/2 - 2810*o**2 - 3390*o = 0. -6/5, 0, 226 Find t such that -4*t**4 - 3968*t**3 - 35484*t**2 - 94432*t - 62912 = 0. -983, -4, -1 Suppose -5*j**4 + 123920*j**3 - 767932230*j**2 + 1535492720*j - 767684405 = 0. Calculate j. 1, 12391 Suppose j**3/10 - 34529*j**2/2 + 7451487683*j/10 + 7451660329/10 = 0. What is j? -1, 86323 Suppose w**4/9 - 16394*w**3/9 + 66894745*w**2/9 + 269944900*w = 0. What is w? -36, 0, 8215 Solve 12*z**5 - 717*z**4/4 - 189*z**3/4 + 2247*z**2/4 - 1299*z/4 - 45/2 = 0 for z. -2, -1/16, 1, 15 Determine m, given that -m**4 + 9*m**3 + 40*m**2 - 36*m - 144 = 0. -3, -2, 2, 12 Factor -2*a**3 - 606*a**2 + 335088*a - 29933280. -2*(a - 156)**2*(a + 615) Solve -4*y**2 + 57280*y - 1999900 = 0. 35, 14285 Factor 5*p**3 + 585*p**2 - 25920*p + 247860. 5*(p - 18)**2*(p + 153) Let 975*o**4 + 16565*o**3 + 84655*o**2 + 130755*o - 1350 = 0. What is o? -9, -5, -3, 2/195 Factor 2*q**2 - 4754*q - 71760. 2*(q - 2392)*(q + 15) Factor 5*r**3/4 - 59165*r**2/4 - 177675*r. 5*r*(r - 11845)*(r + 12)/4 What is k in -3*k**2/7 + 81369*k/7 - 81366/7 = 0? 1, 27122 Solve 2*i**2 - 7866*i/5 + 4716/5 = 0 for i. 3/5, 786 Find g such that g**2/9 + 65084*g/9 + 43388/3 = 0. -65082, -2 Factor -5*u**2 - 115*u + 16450. -5*(u - 47)*(u + 70) Factor k**3/6 + 1789*k**2/6 + 8014*k/3 + 7120/3. (k + 1)*(k + 8)*(k + 1780)/6 Factor -2*x**3/7 + 150*x**2 - 1048*x/7. -2*x*(x - 524)*(x - 1)/7 What is k in -k**3/3 - 3205*k**2/3 + k/3 + 3205/3 = 0? -3205, -1, 1 What is y in 8*y**3/11 - 1782*y**2 + 102700*y/11 - 24450/11 = 0? 1/4, 5, 2445 Suppose -144*w**2 + 1534992*w - 4090625764 = 0. Calculate w. 31979/6 What is n in 2*n**2/9 + 22*n - 6200/9 = 0? -124, 25 Factor -c**2 - 71*c - 1204. -(c + 28)*(c + 43) Factor -m**3/11 + 13*m**2/11 + 760*m/11 - 1564/11. -(m - 34)*(m - 2)*(m + 23)/11 Factor 3*w**2 - 36276*w + 651996. 3*(w - 12074)*(w - 18) Factor y**3/4 - 29215*y**2/4 + 175263*y/4 - 262881/4. (y - 29209)*(y - 3)**2/4 Factor 3*s**3 - 9393*s**2 - 94182*s - 150768. 3*(s - 3141)*(s + 2)*(s + 8) Factor -d**2/5 + 244*d/5 + 4716/5. -(d - 262)*(d + 18)/5 What is b in 49*b**4 - 9324*b**3 + 435492*b**2 + 767232*b + 331776 = 0? -6/7, 96 Factor 3*w**5/4 - 105*w**4/4 - 82875*w**3/4 - 4443375*w**2/4. 3*w**2*(w - 205)*(w + 85)**2/4 Factor -4*q**5 + 12900*q**4 + 25812*q**3 + 12908*q**2. -4*q**2*(q - 3227)*(q + 1)**2 Factor 5*x**2 + 2641360*x. 5*x*(x + 528272) Suppose m**4/2 - 367*m**3/2 + 21197*m**2/2 + 2496763*m/2 - 2537697 = 0. Calculate m. -57, 2, 211 Determine p, given that 4*p**5 + 244*p**4 + 204*p**3 - 2116*p**2 + 2624*p - 960 = 0. -60, -4, 1 Factor -2*w**3 + 298*w**2 - 7078*w - 7378. -2*(w - 119)*(w - 31)*(w + 1) Find t such that 6*t**5/5 - 681*t**4/5 - 7614*t**3/5 - 24324*t**2/5 - 5640*t - 8928/5 = 0. -6, -2, -1/2, 124 Solve 2*i**3/15 - 98*i**2/5 + 3834*i/5 - 10082/3 = 0. 5, 71 What is f in f**5/3 - 67*f**4/3 - 10859*f**3/3 - 81399*f**2 + 277350*f = 0? -43, 0, 3, 150 Suppose 4*a**3/7 + 2684*a**2 + 21920224*a/7 - 333044160/7 = 0. Calculate a. -2356, 15 Suppose l**4 + 165*l**3 - 14529*l**2 - 2580721*l - 7607028 = 0. Calculate l. -143, -3, 124 Factor 3*d**5 - 204594*d**4 + 409176*d**3. 3*d**3*(d - 68196)*(d - 2) Solve 3*m**2 - 313380*m + 8183918700 = 0. 52230 Factor h**3/8 - 1053*h**2/4 + 138864*h - 276676. (h - 1052)**2*(h - 2)/8 Factor y**3 + 149*y**2 + 1250*y - 1400. (y - 1)*(y + 10)*(y + 140) Find n such that n**4 + 1457*n**3 + 537216*n**2 + 4729168*n + 4193408 = 0. -724, -8, -1 Factor 2*c**2/17 + 60572*c/17 + 458620898/17. 2*(c + 15143)**2/17 Factor h**2 - 16496*h + 68029504. (h - 8248)**2 Solve n**3/3 + 111*n**2 + 3206*n/3 - 2584 = 0 for n. -323, -12, 2 Find l such that 7*l**5/2 - 33*l**4/2 - 115*l**3/2 + 5*l**2/2 + 54*l + 14 = 0. -2, -1, -2/7, 1, 7 Solve g**4 - 582*g**3 - 3529*g**2 + 582*g + 3528 = 0. -6, -1, 1, 588 Factor 2*s**2/15 - 302944*s + 172078250880. 2*(s - 1136040)**2/15 What is m in -m**3 + 121*m**2 + 17717*m + 17595 = 0? -85, -1, 207 Factor -5*a**3 + 3575*a**2 - 340130*a. -5*a*(a - 602)*(a - 113) Factor 115*m**2 - 100515*m - 96250. 5*(m - 875)*(23*m + 22) Determine i, given that -3*i**5 + 246*i**4 - 5031*i**3 + 25380*i**2 + 72900*i = 0. -2, 0, 15, 54
Let h(g) be the first derivative of 0*g**2 + 6 + 3/28*g**4 - 2/7*g**3 + 0*g. Factor h(y). 3*y**2*(y - 2)/7 Let p(v) = 16*v**3 + 17*v**2 - 4*v - 5. Let f(i) = -48*i**3 - 50*i**2 + 12*i + 14. Let n(y) = -5*f(y) - 14*p(y). Factor n(s). 4*s*(s + 1)*(4*s - 1) Let r(d) be the second derivative of -d**6/1260 - d**5/420 - d**3/3 - 5*d. Let p(w) be the second derivative of r(w). Let p(t) = 0. Calculate t. -1, 0 Let i(b) be the third derivative of b**7/105 + b**6/60 - b**5/10 - 5*b**4/12 - 2*b**3/3 - 5*b**2 + 2. Determine c so that i(c) = 0. -1, 2 Let f = 7 - 7. Factor -2*a + f*a - 4*a - 2*a**2. -2*a*(a + 3) Let d(p) = 3*p**3 + 2*p**2 + 2*p + 2. Let c(s) = 7*s**3 + 5*s**2 + 5*s + 5. Let i(n) = -2*c(n) + 5*d(n). Factor i(w). w**3 Let z(j) = -j**3 - 7*j**2 + 7*j - 4. Let v be z(-8). Suppose v*c + c - 15 = 0. Factor -2 + 2*l + 2*l**2 - 3*l**3 - 4*l**c + 5*l**3. -2*(l - 1)**2*(l + 1) Let q(s) be the third derivative of -s**5/12 + 5*s**4/6 - 10*s**3/3 + 14*s**2. Determine j so that q(j) = 0. 2 Let r(v) be the first derivative of -v**4/6 + v**3/3 - 3*v + 1. Let i(d) be the first derivative of r(d). Factor i(k). -2*k*(k - 1) Let l = -42 + 44. Let 3*z - 13/4*z**l - 1 + 3/2*z**3 - 1/4*z**4 = 0. Calculate z. 1, 2 Suppose 2*n + 12 = -4*j, 6 = -2*j - 4. Suppose -6 = -k - n. Determine y, given that -6/5*y**3 - 2/5*y**4 - 2/5*y - 6/5*y**k + 0 = 0. -1, 0 Let t(s) = 19*s**2 + 21*s + 7. Let j(o) = 9*o**2 + 10*o + 3. Let r = 22 - 27. Let v(w) = r*j(w) + 2*t(w). Factor v(h). -(h + 1)*(7*h + 1) Let z(a) be the first derivative of -2 + 0*a + 1/12*a**3 + 0*a**2. Find d such that z(d) = 0. 0 Factor 5 + 64*b**3 + 11 + 96*b + 2*b**5 - 1 + 18*b**4 + 112*b**2 + 17. 2*(b + 1)*(b + 2)**4 Let h be 422/(-21)*-3*1. Let c = h + -60. Factor -c*g**3 - 2/7 + 2/7*g**2 + 2/7*g. -2*(g - 1)**2*(g + 1)/7 Solve 5*u**2 - 9*u**2 + 36*u**5 + 17*u**4 + 28*u**3 - 77*u**4 = 0 for u. 0, 1/3, 1 Let o = 1002677/1148840 - 101/2611. Let a = o - 3/88. Suppose 0 - 2/5*c**2 - a*c = 0. Calculate c. -2, 0 Suppose -13*j**3 + 104*j**2 + 12*j**4 + j**5 - 2*j**5 - 98*j**2 - 3*j**5 - j = 0. What is j? 0, 1/2, 1 Suppose 0 = -0*a + 3*a + 3. Let v = 3 + a. Solve 2*r**v + 4*r**4 + r**3 + r**2 - 7*r**2 - r = 0 for r. -1, -1/4, 0, 1 Let s(l) be the third derivative of l**5/570 - l**4/114 + 8*l**2. Factor s(z). 2*z*(z - 2)/19 Let h(f) be the first derivative of -f**6/27 + 2*f**5/15 - f**4/9 - 4*f**3/27 + f**2/3 - 2*f/9 - 5. Factor h(s). -2*(s - 1)**4*(s + 1)/9 Let g(p) be the first derivative of 3*p**6/2 - 3*p**5 - 3*p**4 + 4*p**3 + 5. Solve g(o) = 0. -1, 0, 2/3, 2 Factor 0*w + 0 + 2/17*w**3 + 2/17*w**2. 2*w**2*(w + 1)/17 Let j(k) be the first derivative of -k**7/280 + k**5/40 - 5*k**3/3 - 3. Let c(l) be the third derivative of j(l). Factor c(d). -3*d*(d - 1)*(d + 1) Let v be 3 - (2860/(-192))/(-5). Let c(r) be the second derivative of 0 - 1/24*r**3 - v*r**4 + 1/4*r**2 + r. Determine h, given that c(h) = 0. -2, 1 Let o(n) be the third derivative of n**5/105 - n**4/168 + 9*n**2. Find k, given that o(k) = 0. 0, 1/4 Suppose 1/4*b**2 + b + 1 = 0. What is b? -2 Determine r so that 2*r**4 - 114*r + 228*r - 118*r - 2*r**2 + 4*r**3 = 0. -2, -1, 0, 1 Let v(d) be the second derivative of -1/6*d**3 + 0 + 5*d + 1/12*d**4 + 0*d**2. Determine a, given that v(a) = 0. 0, 1 What is a in 0 - 1/5*a**2 + 2/5*a = 0? 0, 2 Let g be (-4)/8 + 3154/2100 + -1. Let o(h) be the third derivative of -1/100*h**6 + 0*h + 0 - g*h**7 + 0*h**3 - 2*h**2 - 1/75*h**5 + 0*h**4. Factor o(x). -2*x**2*(x + 1)*(x + 2)/5 Suppose 6*u - 8 = 4*u. Solve u*t**2 + t**4 - 6*t**2 + 5 - 4 = 0. -1, 1 Suppose 0 = w - 4 + 1. What is s in -s**2 + 3*s**2 - w*s**2 + 0 + 1 = 0? -1, 1 Suppose 0*n = 3*n + 4*s - 290, n = -4*s + 94. Suppose -135*z**2 - 12 - 145*z**3 + 92*z - n*z**3 + 4*z = 0. What is z? -1, 2/9 Let h = 40 - 79/2. Factor -1/4*x**4 + h*x**3 - 1/4*x**2 + 0*x + 0. -x**2*(x - 1)**2/4 Let i(m) be the second derivative of m**5/210 + m**4/42 - m**2 - 3*m. Let l(s) be the first derivative of i(s). Factor l(o). 2*o*(o + 2)/7 Suppose 10/3*l - 4 + 2/3*l**2 = 0. What is l? -6, 1 Let h(j) be the second derivative of -j**7/231 - 2*j**6/55 - 6*j**5/55 - 4*j**4/33 - 7*j. Factor h(p). -2*p**2*(p + 2)**3/11 Let w be (-37)/444 - (-2)/8. Factor 1/3*r**2 - 1/6*r**3 + 0 - w*r. -r*(r - 1)**2/6 Let t(g) be the second derivative of g**6/1620 + g**5/540 - g**3/2 - g. Let z(d) be the second derivative of t(d). Determine c, given that z(c) = 0. -1, 0 Factor -14/11*u**2 + 10/11*u**3 + 0 + 6/11*u - 2/11*u**4. -2*u*(u - 3)*(u - 1)**2/11 Let q be 7/315*12*(-10)/(-4). Determine p so that -q + 4/3*p - 2/3*p**2 = 0. 1 Let y = 197 + -197. Suppose -1/3*s**3 + 1/3*s**5 + 0 + 0*s + 0*s**4 + y*s**2 = 0. What is s? -1, 0, 1 Let c(i) be the first derivative of -3*i**4/4 + 3*i**3 + 3*i**2/2 - 9*i + 12. Find v, given that c(v) = 0. -1, 1, 3 Suppose 4*b - 2*n - 12 = -5*n, 2*b = -5*n + 6. Suppose 1 - b = -t. Factor 0 + 1/4*v**t + 1/4*v. v*(v + 1)/4 What is o in -2/7*o**4 + 0*o + 0 + 2/7*o**5 + 2/7*o**2 - 2/7*o**3 = 0? -1, 0, 1 Let c(h) be the first derivative of -4/3*h**3 + 6/5*h**5 - 2 - h**4 + 3*h**2 - 2*h - 1/3*h**6. Let c(i) = 0. What is i? -1, 1 Suppose 5*v - 2 - 3 = 0. Let k be v + -1 + 0/2. Determine j, given that 0*j**2 + k*j + 1/3*j**3 + 0 = 0. 0 Factor 4/3 + 2/3*b**2 + 2*b. 2*(b + 1)*(b + 2)/3 Let a(s) be the third derivative of -s**9/2520 + s**8/3360 + s**4/24 - 3*s**2. Let h(d) be the second derivative of a(d). What is l in h(l) = 0? 0, 1/3 What is v in 3/2*v + 3/4*v**2 + 0 = 0? -2, 0 Let b(g) be the first derivative of -g**6/2 + 12*g**5/5 - 15*g**4/4 + 2*g**3 - 13. Factor b(j). -3*j**2*(j - 2)*(j - 1)**2 Let r(y) be the third derivative of -y**8/1176 + 2*y**7/245 - y**6/35 + y**5/21 - y**4/28 - y**2 + 10*y. Factor r(o). -2*o*(o - 3)*(o - 1)**3/7 Let h(j) be the second derivative of j**5/210 - j**4/42 + j**3/21 + j**2/2 - 4*j. Let r(q) be the first derivative of h(q). Determine y, given that r(y) = 0. 1 Let 10/9*w + 0 - 2/9*w**2 = 0. Calculate w. 0, 5 Suppose b**3 + 2/3 - 1/3*b**4 - b - 1/3*b**2 = 0. Calculate b. -1, 1, 2 Let k(l) = 2*l**3 - 3*l - 3. Let g(x) = x + x**2 + 2 + 2 + 2. Let u be g(0). Let a(t) = 3*t**3 - 5*t - 5. Let m(i) = u*a(i) - 10*k(i). Factor m(n). -2*n**3 Suppose -4*t + 20 = t, 5*z + 1 = 4*t. Let 2*i**3 + 8*i**2 - i**3 - 4*i - 5*i**z = 0. Calculate i. 0, 1 Let t(z) be the third derivative of -z**6/180 + z**5/30 + z**4/9 - 24*z**2. Factor t(o). -2*o*(o - 4)*(o + 1)/3 Let c(v) be the first derivative of 2*v**3/27 + 2*v**2/9 + 2*v/9 + 4. Find g such that c(g) = 0. -1 Let q(d) = -8*d**3 - 3*d**2 + 3*d + 3. Let u(k) = k**3. Let c(x) = q(x) + 5*u(x). Factor c(g). -3*(g - 1)*(g + 1)**2 Let -4*r**3 + 3*r**3 + 3*r**3 - r**3 - r = 0. What is r? -1, 0, 1 Let k(l) be the first derivative of -4*l**5/45 + l**4/6 - 2*l**3/27 - 9. Factor k(g). -2*g**2*(g - 1)*(2*g - 1)/9 Let x = -10 - -12. Suppose x*m + 2*s = 6, 3*s - 2 - 3 = -2*m. Factor 2/7*f**m + 0 - 4/7*f**3 + 2/7*f**2 + 0*f. 2*f**2*(f - 1)**2/7 Let k(b) be the second derivative of 0*b**2 - 3*b + 0*b**4 + 0*b**3 + 0*b**5 + 0 - 2/15*b**6. Factor k(p). -4*p**4 Let s(r) be the second derivative of r**6/60 + r**5/30 - r**4/12 - r**3/3 - r**2 - 3*r. Let o(f) be the first derivative of s(f). Solve o(w) = 0. -1, 1 Let z = 7 + -5. Factor -z*n**4 + 22*n**5 - 12*n**2 + 7*n**4 + 5*n**5 + 4*n**4 - 24*n**3. 3*n**2*(n - 1)*(3*n + 2)**2 Let g(w) be the first derivative of -w**4/6 - 2*w**3/9 + 2*w**2/3 - 2. Factor g(v). -2*v*(v - 1)*(v + 2)/3 Let j = 8743/156890 - 3/5410. Let v = 10/29 + j. Suppose -v*f**4 - 2/5 + 0*f**3 + 0*f + 4/5*f**2 = 0. What is f? -1, 1 Suppose 0*d + 0 - 15/2*d**3 + 5/2*d**2 = 0. Calculate d. 0, 1/3 Let x be (5 + 737/(-143))*-1. What is o in -x - 6/13*o**2 + 2/13*o**3 + 6/13*o = 0? 1 Let x(m) = -7*m**2 + 5*m. Let k(p) = -4*p**2 + 3*p. Let s(u) = 5*k(u) - 3*x(u). Find h, given that s(h) = 0. 0 Suppose 2*o = -a + 3*o, 2*a - 5*o = 0. Suppose a*i**2 + 2/5*i**3 + 0*i + 0 - 2/5*i**4 = 0. Calculate i. 0, 1 Let o(l) be the first derivative of l**6/360 + l**5/120 + 10*l**3/3 + 10. Let k(s) be the third derivative of o(s). Determine p, given that k(p) = 0. -1, 0 Let v(h) = -2 + 8*h**3 + 5*h**3 - 4*h**2 - 14*h**3 - 4*h. Let r(z) = z**2 + z + 1. Let f(y) = 2*r(y) + 2*v(y). Solve f(k) = 0. -1 Find x such that -2/9*x**2 + 2/9*x**4 + 0*x + 0*x**3 + 0 = 0. -1, 0, 1 Let c = 136 + -404/3. Suppose 0 = -3*z - 5*g - 2 - 3, -4*z + 3*g = -3. Determine x so that c*x**3 - 2/3*x**4 - 2/3*x**2 + 0 + z*x = 0. 0, 1
What is the units digit of 461? 1 What is the hundreds digit of 2669? 6 What is the hundreds digit of 10577? 5 What is the hundreds digit of 1097? 0 What is the units digit of 720? 0 What is the thousands digit of 40433? 0 What is the ten thousands digit of 103432? 0 What is the tens digit of 180100? 0 What is the thousands digit of 6445? 6 What is the hundreds digit of 97938? 9 What is the hundreds digit of 17996? 9 What is the tens digit of 848? 4 What is the tens digit of 4202? 0 What is the units digit of 1377? 7 What is the units digit of 2955? 5 What is the hundreds digit of 503? 5 What is the hundreds digit of 1893? 8 What is the hundreds digit of 2376? 3 What is the hundreds digit of 14513? 5 What is the tens digit of 1270? 7 What is the ten thousands digit of 26746? 2 What is the hundreds digit of 9956? 9 What is the tens digit of 13103? 0 What is the thousands digit of 3861? 3 What is the tens digit of 5967? 6 What is the hundreds digit of 29451? 4 What is the tens digit of 719? 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2 What is the hundreds digit of 6086? 0 What is the units digit of 24514? 4 What is the units digit of 90589? 9 What is the tens digit of 30458? 5 What is the units digit of 1462? 2 What is the tens digit of 1054? 5 What is the units digit of 55? 5 What is the hundreds digit of 29377? 3 What is the thousands digit of 3573? 3 What is the units digit of 5516? 6 What is the units digit of 865? 5 What is the thousands digit of 1097? 1 What is the tens digit of 1346? 4 What is the hundreds digit of 11705? 7 What is the hundreds digit of 426? 4 What is the thousands digit of 33896? 3 What is the units digit of 1317? 7 What is the units digit of 431? 1 What is the hundreds digit of 5263? 2 What is the tens digit of 4284? 8 What is the tens digit of 12552? 5 What is the units digit of 1705? 5 What is the hundreds digit of 463? 4 What is the units digit of 640? 0 What is the thousands digit of 6966? 6 What is the units digit of 1923? 3 What is the ten thousands digit of 47800? 4 What is the ten thousands digit of 11541? 1 What is the units digit of 12227? 7 What is the units digit of 883? 3 What is the hundreds digit of 53207? 2 What is the units digit of 6725? 5 What is the units digit of 1239? 9 What is the thousands digit of 1855? 1 What is the tens digit of 2709? 0 What is the thousands digit of 33056? 3 What is the tens digit of 10640? 4 What is the thousands digit of 1825? 1 What is the ten thousands digit of 41081? 4 What is the hundreds digit of 9278? 2 What is the units digit of 932? 2 What is the tens digit of 29080? 8 What is the hundreds digit of 6175? 1 What is the tens digit of 3802? 0 What is the units digit of 11671? 1 What is the tens digit of 1607? 0 What is the ten thousands digit of 91541? 9 What is the units digit of 764? 4 What is the hundreds digit of 138? 1 What is the units digit of 69342? 2 What is the units digit of 12594? 4 What is the units digit of 12475? 5 What is the units digit of 21298? 8 What is the tens digit of 162763? 6 What is the ten thousands digit of 19155? 1 What is the tens digit of 1797? 9 What is the hundreds digit of 2577? 5 What is the ten thousands digit of 19737? 1 What is the hundreds digit of 3476? 4 What is the hundreds digit of 1904? 9 What is the hundreds digit of 882? 8 What is the hundreds digit of 2495? 4 What is the hundreds digit of 1111? 1 What is the tens digit of 679? 7 What is the tens digit of 191? 9 What is the units digit of 7642? 2 What is the units digit of 12920? 0 What is the hundreds digit of 429? 4 What is the units digit of 909? 9 What is the units digit of 140094? 4 What is the ten thousands digit of 21691? 2 What is the hundreds digit of 5401? 4 What is the tens digit of 37971? 7 What is the thousands digit of 3224? 3 What is the tens digit of 15116? 1 What is the thousands digit of 1237? 1 What is the units digit of 53790? 0 What is the units digit of 115961? 1 What is the thousands digit of 3744? 3 What is the tens digit of 1187? 8 What is the hundreds digit of 1046? 0 What is the tens digit of 9596? 9 What is the ten thousands digit of 28367? 2 What is the ten thousands digit of 18532? 1 What is the tens digit of 95973? 7 What is the tens digit of 2400? 0 What is the units digit of 52467? 7 What is the thousands digit of 1377? 1 What is the tens digit of 931? 3 What is the thousands digit of 35164? 5 What is the tens digit of 19953? 5 What is the hundreds digit of 680? 6 What is the hundreds digit of 1678? 6 What is the thousands digit of 41146? 1 What is the units digit of 585? 5 What is the tens digit of 1835? 3 What is the tens digit of 55694? 9 What is the tens digit of 2468? 6 What is the hundreds digit of 911? 9 What is the units digit of 2477? 7 What is the hundreds digit of 2603? 6 What is the tens digit of 3433? 3 What is the units digit of 10512? 2 What is the hundreds digit of 68940? 9 What is the thousands digit of 1429? 1 What is the tens digit of 37457? 5 What is the hundreds digit of 564? 5 What is the units digit of 20266? 6 What is the tens digit of 1935? 3 What is the ten thousands digit of 22516? 2 What is the tens digit of 525? 2 What is the units digit of 1384? 4 What is the tens digit of 61664? 6 What is the thousands digit of 8036? 8 What is the hundreds digit of 4771? 7 What is the hundreds digit of 3302? 3 What is the hundreds digit of 1057? 0 What is the ten thousands digit of 13454? 1 What is the units digit of 45191? 1 What is the tens digit of 8646? 4 What is the units digit of 11? 1 What is the tens digit of 3375? 7 What is the units digit of 38755? 5 What is the thousands digit of 44032? 4 What is the ten thousands digit of 89542? 8 What is the tens digit of 23097? 9 What is the hundreds digit of 505? 5 What is the ten thousands digit of 126877? 2 What is the thousands digit of 20293? 0 What is the ten thousands digit of 14818? 1 What is the hundreds digit of 69693? 6 What is the hundreds digit of 2625? 6 What is the thousands digit of 3832? 3 What is the units digit of 85? 5 What is the tens digit of 2699? 9 What is the hundreds digit of 4214? 2 What is the hundreds digit of 1176? 1 What is the hundreds digit of 23577? 5 What is the tens digit of 6810? 1 What is the tens digit of 1378? 7 What is the units digit of 25690? 0 What is the units digit of 520? 0 What is the tens digit of 65692? 9 What is the hundred thousands digit of 103292? 1 What is the hundreds digit of 9562? 5 What is the hundreds digit of 2390? 3 What is the tens digit of 9322? 2 What is the ten thousands digit of 164954? 6 What is the thousands digit of 34871? 4 What is the ten thousands digit of 24221? 2 What is the thousands digit of 19367? 9 What is the units digit of 1035? 5 What is the units digit of 22054? 4 What is the units digit of 7755? 5 What is the thousands digit of 7520? 7 What is the tens digit of 23348? 4 What is the tens digit of 15499? 9 What is the thousands digit of 56043? 6 What is the units digit of 1007? 7 What is the thousands digit of 84496? 4 What is the units digit of 696? 6 What is the tens digit of 2210? 1 What is the units digit of 219? 9 What is the hundreds digit of 13567? 5 What is the thousands digit of 3106? 3 What is the tens digit of 27120? 2 What is the tens digit of 9095? 9 What is the hundreds digit of 315? 3 What is the thousands digit of 60308? 0 What is the tens digit of 5272? 7 What is the hundreds digit of 2450? 4 What is the hundreds digit of 1304? 3 What is the tens digit of 430? 3 What is the units digit of 94509? 9 What is the tens digit of 3917? 1 What is the tens digit of 5447? 4 What is the units digit of 4207? 7 What is the hundreds digit of 23387? 3 What is the thousands digit of 16413? 6 What is the thousands digit of 1500? 1
Round -0.0676 to 2 dps. -0.07 What is 11.0195 rounded to 2 decimal places? 11.02 Round 1261.4 to the nearest 10. 1260 Round 0.0000017511 to 7 decimal places. 0.0000018 What is 0.000248378 rounded to 5 dps? 0.00025 Round 110680000 to the nearest 1000000. 111000000 What is 0.006836 rounded to 3 dps? 0.007 What is 0.017289 rounded to 4 dps? 0.0173 What is -0.1711 rounded to two decimal places? -0.17 What is -1881.5 rounded to the nearest one hundred? -1900 Round -6087000 to the nearest one hundred thousand. -6100000 What is 3040 rounded to the nearest one hundred? 3000 What is -1680000 rounded to the nearest 100000? -1700000 Round -19160800 to the nearest one million. -19000000 What is -0.111282 rounded to 3 dps? -0.111 Round 13.37 to one dp. 13.4 What is 0.2671 rounded to 1 decimal place? 0.3 Round 62.4 to the nearest integer. 62 What is 6932.2 rounded to the nearest 1000? 7000 Round 1924000 to the nearest 100000. 1900000 What is 0.000409 rounded to four dps? 0.0004 Round 0.00020876 to 6 dps. 0.000209 Round 0.04017 to three dps. 0.04 Round 15850000 to the nearest one million. 16000000 Round -77.23 to zero decimal places. -77 Round -68991000 to the nearest one million. -69000000 Round -267700 to the nearest ten thousand. -270000 What is 111.6 rounded to the nearest 10? 110 What is -0.007392 rounded to 4 dps? -0.0074 What is 16250 rounded to the nearest one thousand? 16000 What is -125.73 rounded to the nearest ten? -130 Round 0.014244 to 3 dps. 0.014 Round 41.362 to the nearest ten. 40 Round -26938200 to the nearest one million. -27000000 Round -0.0017843 to four decimal places. -0.0018 Round -152000 to the nearest 1000000. 0 What is 3.0554 rounded to 1 dp? 3.1 What is 65 rounded to the nearest integer? 65 What is 0.0000009308 rounded to 7 decimal places? 0.0000009 What is 0.0000032057 rounded to 7 decimal places? 0.0000032 What is -0.0097274 rounded to four dps? -0.0097 What is -1115 rounded to the nearest 1000? -1000 Round 5.915 to one decimal place. 5.9 Round 4130 to the nearest one thousand. 4000 What is -1818.1 rounded to the nearest one hundred? -1800 What is 0.00000856 rounded to six decimal places? 0.000009 Round 2616.5 to the nearest 10. 2620 Round -0.027588 to four dps. -0.0276 Round -0.019813 to 3 decimal places. -0.02 Round 11370000 to the nearest 1000000. 11000000 Round 233420 to the nearest 10000. 230000 Round 0.00000883 to 5 decimal places. 0.00001 Round 1290.3 to the nearest 100. 1300 What is 17362 rounded to the nearest 1000? 17000 Round -46.595 to zero decimal places. -47 What is 0.060413 rounded to 4 dps? 0.0604 Round 14.844 to one dp. 14.8 What is -3197.3 rounded to the nearest 100? -3200 What is 0.000102055 rounded to five dps? 0.0001 Round 0.0023507 to 4 dps. 0.0024 What is -7491800 rounded to the nearest one million? -7000000 What is -0.061816 rounded to 2 decimal places? -0.06 What is 0.00011907 rounded to five dps? 0.00012 What is 0.0159 rounded to 2 decimal places? 0.02 Round 83750 to the nearest ten thousand. 80000 What is -0.0228 rounded to 3 decimal places? -0.023 What is 0.0000006102 rounded to 7 dps? 0.0000006 Round 0.0000002984 to seven dps. 0.0000003 Round -0.0109906 to five dps. -0.01099 What is 0.271041 rounded to two dps? 0.27 Round -1.108 to 2 dps. -1.11 Round 5293900 to the nearest 1000000. 5000000 What is -0.046364 rounded to 3 dps? -0.046 What is -14.31 rounded to the nearest integer? -14 Round -158730 to the nearest 10000. -160000 What is 158530 rounded to the nearest 10000? 160000 Round -275800 to the nearest one hundred thousand. -300000 Round -19.32 to the nearest 10. -20 Round 343800 to the nearest ten thousand. 340000 Round -249.1 to the nearest 100. -200 Round -0.000018 to five dps. -0.00002 What is -23186 rounded to the nearest one thousand? -23000 What is -4773.1 rounded to the nearest one hundred? -4800 Round 0.00524 to 3 decimal places. 0.005 What is -4623.19 rounded to the nearest one hundred? -4600 What is 16053000 rounded to the nearest one hundred thousand? 16100000 Round 4406 to the nearest one hundred. 4400 Round -0.00014243 to 5 decimal places. -0.00014 Round 4572000 to the nearest one million. 5000000 What is 350.6 rounded to the nearest one hundred? 400 Round 547.3 to the nearest 100. 500 Round -0.00075104 to 4 dps. -0.0008 What is -623.3 rounded to the nearest 10? -620 Round 0.000025362 to 7 decimal places. 0.0000254 What is -0.00000243 rounded to six dps? -0.000002 Round -0.5877 to 2 decimal places. -0.59 What is -0.1699 rounded to two dps? -0.17 What is -0.00006638 rounded to 5 decimal places? -0.00007 What is -0.00000847 rounded to 6 decimal places? -0.000008 What is -0.0000864 rounded to 5 dps? -0.00009 What is -0.000008681 rounded to 7 dps? -0.0000087 What is 0.001444 rounded to 5 decimal places? 0.00144 What is -0.0078 rounded to four dps? -0.0078 Round -0.000253755 to five dps. -0.00025 What is 0.21958 rounded to three decimal places? 0.22 What is -5 rounded to the nearest ten? -10 Round 3.9 to zero dps. 4 What is 17.934 rounded to zero decimal places? 18 Round -0.007341 to three decimal places. -0.007 Round 20980000 to the nearest one million. 21000000 What is -147140 rounded to the nearest 10000? -150000 Round 1134000 to the nearest 10000. 1130000 What is -759.4 rounded to the nearest one hundred? -800 Round 1189200 to the nearest ten thousand. 1190000 What is 1.5331 rounded to 1 dp? 1.5 What is 12418600 rounded to the nearest one hundred thousand? 12400000 Round 0.00374 to 4 dps. 0.0037 Round -0.0003622 to four dps. -0.0004 What is 0.00005886 rounded to five decimal places? 0.00006 What is -558 rounded to the nearest ten? -560 What is 124330000 rounded to the nearest one million? 124000000 Round -0.0000544 to 6 dps. -0.000054 What is 0.2665 rounded to 2 dps? 0.27 Round 45.384 to zero dps. 45 What is -17603 rounded to the nearest ten thousand? -20000 Round -59760 to the nearest one hundred. -59800 What is -53705000 rounded to the nearest 100000? -53700000 What is 5.0043 rounded to the nearest integer? 5 What is 0.05695 rounded to three decimal places? 0.057 Round 0.0661 to two dps. 0.07 Round 374990 to the nearest 100000. 400000 What is 70.902 rounded to the nearest ten? 70 What is 42.7 rounded to the nearest ten? 40 What is -174.19 rounded to zero dps? -174 Round -94300000 to the nearest one million. -94000000 What is 816.7 rounded to the nearest one hundred? 800 Round -44.7 to the nearest 10. -40 Round 92 to zero dps. 92 Round -2.819 to one decimal place. -2.8 Round -0.022337 to four dps. -0.0223 Round -6714700 to the nearest one hundred thousand. -6700000 What is -0.00005184 rounded to five decimal places? -0.00005 Round -0.4633 to two decimal places. -0.46 Round -16.433 to one dp. -16.4 What is 6450 rounded to the nearest ten thousand? 10000 Round -261700 to the nearest 1000. -262000 Round -72063000 to the nearest one million. -72000000 Round 0.00015964 to 4 decimal places. 0.0002 What is -2.35 rounded to the nearest integer? -2 Round -6116000 to the nearest one million. -6000000 What is -2645000 rounded to the nearest one million? -3000000 Round 1775.4 to the nearest 100. 1800 What is -122200 rounded to the nearest one thousand? -122000 What is -671100 rounded to the nearest ten thousand? -670000 Round -0.132991 to four decimal places. -0.133 What is 0.0004381 rounded to five decimal places? 0.00044 What is -38.413 rounded to 1 dp? -38.4 Round -2.909 to one dp. -2.9 Round -0.4617 to two dps. -0.46 What is 1380000 rounded to the nearest one hundred thousand? 1400000 What is -1262.4 rounded to the nearest ten? -1260 Round 9040700 to the nearest one hundred thousand. 9000000 Round 7400 to the nearest 100. 7400 Round -28300 to the nearest 1000. -28000 What is 1833510 rounded to the nearest 10000? 1830000 What is 4520 rounded to the nearest one hundred? 4500 Round -5022.7 to the nearest 1000. -5000 Round 0.0104164 to 3 dps. 0.01 What is 0.002338 rounded to 5 decimal places? 0.00234 What is 1.5966 rounded to two dps? 1.6 What is 322300 rounded to the nearest 100000? 300000 What is -19.69 rounded to the nearest 10? -20 Round -0.039057 to 1 dp. 0 What is 197380 rounded to the nearest one thousand? 197000 Round -0.000006967 to 7 dps. -0.000007 Round 1552 to the nearest one hundred. 1600 What is -0.00001317 rounded to six decimal places? -0.000013 Round 1105000 to the nearest 100000. 1100000 Round 20000000 to the nearest 1000000. 20000000 What is 321400 rounded to the nearest one hundred thousand? 300000 Round -49420 to the nearest 10000. -50000 What is -607.08 rounded to the nearest 10? -610 Round 4735000 to the nearest one million. 5000000
Let f(k) = -4 - 2*k - k + 5 + 2*k. Let l(z) = -12*z + 11. Let g(m) = -22*f(m) + 2*l(m). Let j(r) = -4*r - 965 + 965. Calculate g(j(n)). 8*n Let v(o) = 5*o + 6*o + 3*o - 6*o. Let b(j) = -87 + 2*j**2 - 94 + 188. Let u(f) = f**2 + 4. Let k(p) = -4*b(p) + 7*u(p). Give v(k(q)). -8*q**2 Let p = 8 + 0. Let r(o) = 19*o**2 + p*o - 8*o. Let s(m) be the first derivative of -3*m**2/2 - 2215. What is s(r(h))? -57*h**2 Let v(p) = -3*p. Let l(j) = 26*j + 14. Let s(x) = 79*x + 36. Let r(n) = 8*l(n) - 3*s(n). Calculate v(r(c)). 87*c - 12 Suppose 5*q + 5 = 5*r, 4*r - 5 = -q + 4. Let f(u) = -2*u - 1. Let z(h) = -3*h**2 - 4*h - 2. Let k(b) = q*z(b) - 2*f(b). Let p(d) = -75*d. Calculate p(k(g)). 225*g**2 Let n(q) = -69*q**2. Let d(g) = -325282*g**2 + 6*g. What is d(n(f))? -1548667602*f**4 - 414*f**2 Let c be 3320 + 4 - (0 + 1 + -3). Let a(m) = 16*m + c - 3328 - 51*m. Let r(j) = j. Calculate r(a(w)). -35*w - 2 Let w(q) = -88*q + 2. Let h(n) = -777*n + 17. Let r(p) = -2*h(p) + 17*w(p). Let d(l) = -8*l + 6. What is r(d(o))? -464*o + 348 Let u(w) = w**2 + 8*w + 17. Let d be u(-5). Let l(n) = 2*n**2 - 2*n**2 + 4*n**2 - 6*n**d. Let k(m) = 4379 - 4379 + 14*m. Calculate k(l(q)). -28*q**2 Let m(o) = 45*o**2 - 15*o**2 - 36*o**2. Let t(d) = -598*d**2. Calculate m(t(l)). -2145624*l**4 Let w(x) = 1406*x + 3. Let d(g) = -1404*g - 4. Let i(a) = -3*d(a) - 4*w(a). Let p(l) = 2*l**2. Determine p(i(q)). 3987488*q**2 Let g(v) be the second derivative of -v**3/3 - 12*v - 3. Let z(d) = -18*d**2 + 5. Let s(m) = 27*m**2 - 8. Let u(y) = -5*s(y) - 8*z(y). Determine u(g(q)). 36*q**2 Let o(m) be the third derivative of m**4/8 + 2118*m**2. Let t(i) = 108*i**2 - 14. Calculate o(t(x)). 324*x**2 - 42 Let l(d) = -1418*d**2. Let f(b) = -2*b + 42. Let x(z) = 4*z - 77. Let v(n) = 11*f(n) + 6*x(n). What is v(l(h))? -2836*h**2 Let m(l) be the first derivative of 4*l**2 - 5*l + 1008. Let h(d) = -16*d**2. What is h(m(u))? -1024*u**2 + 1280*u - 400 Let u(y) be the third derivative of 0*y + 0*y**3 + 0*y**4 + 19/60*y**5 + 23*y**2 + 0. Let v(r) = -4*r. What is v(u(b))? -76*b**2 Let v(n) = -4283344*n. Let q(k) = -2*k. What is q(v(c))? 8566688*c Let j(u) = -5*u + 4. Let z(d) be the first derivative of 7*d**2 - 11*d - 38. Let i(q) = -11*j(q) - 4*z(q). Let v(s) = -s**2 - 16*s. Determine v(i(k)). -k**2 + 16*k Let v(q) = -7008*q**2 - 7006*q**2 + 14013*q**2. Let h(b) = -1478*b**2. Calculate h(v(m)). -1478*m**4 Let i(p) = 15543049*p. Let r(l) = -15*l**2. What is i(r(c))? -233145735*c**2 Let c(d) = 7*d**2. Let u(w) = w + 6. Let n(a) = 5*a + 34. Let r be ((-2)/4)/(5/(-540)*-9). Let k(y) = r*n(y) + 34*u(y). Calculate c(k(z)). 112*z**2 Let t(c) = c - 45. Let y(d) = 3*d - 98. Let s(u) = -7*t(u) + 3*y(u). Let j(v) = 36*v. Give s(j(o)). 72*o + 21 Let q(h) be the first derivative of 90 + 0*h + 1/3*h**3 + 0*h**2. Let p(t) = 3*t. Give p(q(s)). 3*s**2 Let m(d) = 9780*d + 40. Let h(l) = 90*l. Calculate m(h(n)). 880200*n + 40 Let l(d) = d**2. Suppose 3*f + 0*f = 888. Let a(c) = -f + 600 - 89*c - 304. Calculate a(l(x)). -89*x**2 Let g(a) = 325*a - 325*a - 430*a**2 - 276*a**2. Let n(f) = -8*f. Determine g(n(w)). -45184*w**2 Let y(p) = -9*p**2. Let s(b) = -8*b + 150. Let g(c) = -c + 29. Let n(z) = 5*g(z) - s(z). Give y(n(v)). -81*v**2 + 270*v - 225 Let p(j) = 1 - 1 + 3882*j - 7764*j + 3883*j. Let c(k) = 427*k**2 + 76*k**2 + 36*k**2. Determine c(p(m)). 539*m**2 Let q(z) = z + 535. Let k(j) = -3*j - 1284. Let h(t) = -5*k(t) - 12*q(t). Let u(f) = 2*f + 231. Give h(u(r)). 6*r + 693 Let t(o) = o**2 - 2*o + 8235128. Let c(v) = 3*v**2. Calculate t(c(x)). 9*x**4 - 6*x**2 + 8235128 Let k(i) = 4*i. Let g(r) = -2*r. Suppose 0*m + 18 = 2*m + 5*a, 2*m - 4*a + 18 = 0. Let w(l) = m*k(l) + 3*g(l). Let v(j) = -10*j**2. Calculate v(w(u)). -1000*u**2 Suppose -2*r + 5*b = -53, -r - 4*b + 0*b = -46. Let k be (-212)/(-159)*3/2. Let f(s) = 31*s**k + 29 - 63 + r. Let c(m) = -2*m**2. Determine c(f(z)). -1922*z**4 Let w(y) = -8*y**2. Let b(c) = 1117007*c. Calculate b(w(h)). -8936056*h**2 Let o(b) = -4*b - 20. Let v(r) = 1. Let s(h) = 3*o(h) + 60*v(h). Let n(k) = -5*k**2 + 880547674 - 880547674. Give s(n(m)). 60*m**2 Let n(l) = 3*l**2. Let q(u) = -7*u + 23. Let s be q(1). Let k(j) = -s + 29 - 26 + j. Calculate n(k(p)). 3*p**2 - 78*p + 507 Let u(q) = 6*q. Let g(s) be the second derivative of 7*s**5/20 - 25*s**3/2 - 146*s. Let y(a) be the second derivative of g(a). Determine y(u(x)). 252*x Let j(k) be the first derivative of 8993 - 3*k - 9111 + k**3 + 17*k. Let q(a) = a**2. What is j(q(r))? 3*r**4 + 14 Let n(u) be the first derivative of 2*u**3/3 + 99*u**2/2 - 143824. Let k(l) = -5*l. Let z(j) = -14*j. Let w(s) = 8*k(s) - 3*z(s). Give n(w(q)). 8*q**2 + 198*q Let c(a) = -3*a**2. Let t(f) = 11799011*f. What is t(c(x))? -35397033*x**2 Let f(x) = 2*x**2. Let j(t) = -87869121*t. Give j(f(q)). -175738242*q**2 Suppose 7 - 16 = -3*k. Let n(l) = k - 3 + 32*l**2. Let p(b) = 2*b + 10. Let w(y) = 3*y + 16. Let c(q) = 8*p(q) - 5*w(q). What is c(n(z))? 32*z**2 Let f(d) = -135571279*d. Let v(u) = -u**2. Determine v(f(k)). -18379571689695841*k**2 Let h(s) be the third derivative of 11*s**5/60 - 2*s**2. Let t = 28 + 89. Let q(c) = -t*c**2 + 58*c**2 + 56*c**2. Determine h(q(d)). 99*d**4 Let d(q) be the third derivative of 67*q**4/12 + 4006*q**2. Let u(j) = -44*j**2. Calculate d(u(s)). -5896*s**2 Let m(u) = -325*u**2. Suppose 0 = -2*y - 3*o + 19, 4*y + 11*o - 18 = 9*o. Let h(z) = -z**y + 142*z - 142*z. What is h(m(w))? -105625*w**4 Let z(m) be the third derivative of -m**4/6 - 158*m**2. Let n(y) be the second derivative of 11*y**4/6 - y. Calculate n(z(q)). 352*q**2 Let x(g) = g**2 + 36. Let d(w) = -10*w**2 - 72. Let t(f) = -3*d(f) - 6*x(f). Let a(m) = 2*m**2. Determine a(t(q)). 1152*q**4 Let f(q) = 58225*q. Let g(p) = -20*p. Calculate g(f(y)). -1164500*y Let s(g) = 10*g**2. Let y(m) = 13*m**2 + 10*m - 86. Let f(z) = 54*z**2 + 42*z - 351. Let q(j) = 5*f(j) - 21*y(j). What is q(s(v))? -300*v**4 + 51 Let k(w) = 64*w - 2. Let t(a) be the second derivative of 22 + 0*a**2 + 1/2*a**3 - a. Calculate t(k(g)). 192*g - 6 Let f(c) = -2638936*c. Let r(y) = -11*y. Determine f(r(v)). 29028296*v Let o(c) = -2662*c**2 + 9. Let a(t) = -444*t**2. Determine o(a(g)). -524776032*g**4 + 9 Let v(d) = -7*d**2. Let o(n) = 15756291*n**2. Determine v(o(f)). -1737824942536767*f**4 Let d be (-120)/140*(0 - (-14)/(-3)). Suppose -3*l - j = -2*j - 14, 4*j = -d*l - 8. Let v(x) = l - 2*x**2 - 14 + 4*x**2 + 5. Let b(m) = -m**2. Give b(v(r)). -4*r**4 + 24*r**2 - 36 Let z(j) = -122991648*j**2. Let t(x) = 2*x**2. Give z(t(i)). -491966592*i**4 Let n(q) = -q**2 - 2*q. Let k(p) = -p. Let s(c) = 2*k(c) - n(c). Let f(z) = -z**2 - 10*z**2 + 23*z**2. What is f(s(m))? 12*m**4 Let w(u) = -3 - u + 3. Let h(s) be the third derivative of 0*s**3 + 1/15*s**5 + 0 + 5*s**2 + 0*s**4 + 0*s. Give h(w(d)). 4*d**2 Let s(f) = 7*f. Let n(i) = 2787230*i. Calculate n(s(r)). 19510610*r Let z(f) = 30*f**2. Let j(p) be the first derivative of -269*p**3/3 - 4117. Calculate j(z(g)). -242100*g**4 Let l(b) = -3*b**2. Let p(k) be the second derivative of -7*k**4/12 + k**3/2 + 1270*k. Calculate p(l(n)). -63*n**4 - 9*n**2 Let u(n) = 213*n + 1. Let i(s) be the second derivative of s**3/3 + 291*s. Determine u(i(v)). 426*v + 1 Let j(t) = -25*t - 19. Let x(a) = -10*a - 22. Let m(k) = 7*j(k) - 6*x(k). Let w(y) = -5*y. What is m(w(r))? 575*r - 1 Let z(v) = -v**2. Let j(p) = -2*p + 5174815. Give j(z(i)). 2*i**2 + 5174815 Let y(l) = 183950444*l**2. Let c(b) = -2*b**2. Give y(c(r)). 735801776*r**4 Let f(m) be the first derivative of 365*m**2 + 3761. Let n(y) = 3*y**2. Calculate n(f(w)). 1598700*w**2 Let r(d) = 7*d**2 - 9*d + 206. Let z be r(10). Let l(n) = z*n - 1635*n + 816*n. Let x(o) be the first derivative of -o**2 + 1. Determine l(x(w)). 6*w Let b = 314 + -298. Let j(i) = -i**2 + 37*i - b*i - 21*i + 3*i**2. Let c(y) = 259*y**2. Determine j(c(v)). 134162*v**4 Let m(w) be the second derivative of w**4/4 - 130*w - 10. Let l(y) = -944*y. What is m(l(o))? 2673408*o**2 Let l(i) = -2*i**2 + 2*i. Let n(f) = -207*f + 201*f - f**2 + 8*f**2. Let g(s) = 3*l(s) + n(s). Let q(p) = 13*p + 2. What is g(q(m))? 169*m**2 + 52*m + 4 Let u(d) = -3*d. Suppose 5*k + 22 = -p - 0*p, 5*k - 2*p + 16 = 0. Let w(l) = 2*l. Let v(x) = -2*x. Let r(c) = k*v(c) - 6*w(c). Calculate r(u(i)). 12*i Let d = -9 - -13. Let q = 1680 - 815. Let a(x) = -d*x**2 - q*x + 865*x. Let h(s) = 7*s. What is a(h(y))? -196*y**2 Let u(o) = 1667*o - 2. Let f(w) be the second derivative of -w**3/2 - 9*w + 25. Calculate f(u(q)). -5001*q + 6
Let q(m) = m**3 - 14*m**2 + 97*m - 1291. List the prime factors of q(38). 7, 67, 79 Suppose -13*a + 2*a = -6259. Suppose 2*m + 3*z = 4*z + 281, -5*z = 4*m - a. What are the prime factors of m? 3, 47 Let d(u) = -2606*u - 1103. List the prime factors of d(-4). 3, 13, 239 Suppose -9 = -c - 5. Let i be (-5 - 5)*(-2)/c. Suppose -7*s + 108 = -i*s. What are the prime factors of s? 2, 3 Let v be 8/(-20) + ((-2556)/(-20))/(-3). Let q = v - -46. List the prime factors of (-1985)/(-60)*q + 2/(-8). 3, 11 Let l(d) = d**3 + 40*d**2 + 41*d. Let z be l(-39). List the prime factors of (-65)/z - 3470/(-12). 2, 5, 29 Let u(j) = -j**2 + 14*j + 37. Let s be u(16). Suppose -s*p + 30 = -10. Suppose 2*x + 320 = p*a - 5*a, -a + 105 = -x. List the prime factors of a. 2, 5, 11 Suppose 0 = -s - 2*d + 8757, -49*s + d + 43818 = -44*s. List the prime factors of s. 3, 23, 127 Let w(l) = 344*l**2 + 15*l + 19. List the prime factors of w(-3). 2, 5, 307 Suppose 50300 = -75*h + 76*h. List the prime factors of h. 2, 5, 503 Suppose -184 = 4*h - i, 3*h - 2*i + 59 = -74. Let m = 106 + h. Let a = m + -5. What are the prime factors of a? 2, 3 Suppose 7*k - 3*k = 144. Let z be 2/(-3 - -1) + k. Suppose -3*u = q - z, -2*q + 0*q + 2*u + 46 = 0. List the prime factors of q. 2, 13 Let v be 14/3*(2 + 2 + 2). Let k be (-1)/(-4) - 791/v. List the prime factors of -3 + (-92)/k + 1002/21. 2, 3 Let o = 806 - 381. Let m be ((-96)/5)/((-34)/o). List the prime factors of 4/(-26) - (3 + m/(-39)). 3 Let z(q) = q**3 + q**2 - q + 77. Let l(b) = -5*b + 10*b - 5*b - b**2 + 9*b. Let g be l(9). What are the prime factors of z(g)? 7, 11 Suppose 33*k - 188*k = -3195453 - 932352. List the prime factors of k. 3, 11, 269 Suppose 4*w - 2*w = -66. Let y be 11/(w/(-36)) + -4. Suppose -2*s - 1092 = -y*s. What are the prime factors of s? 2, 7, 13 Let h be (-4)/22 - 90/(-11). Suppose -2*x = 4*c - 5306, h*c - 13*c - 5*x = -6630. List the prime factors of c. 1327 Suppose 2 = 6*k - 22. Suppose -k*j + 4185 = 5*j. List the prime factors of j. 3, 5, 31 Let g be -20 + 24 + 1 + 17. Let d = g + -41. Let m(l) = l**3 + 19*l**2 - 2*l + 20. List the prime factors of m(d). 2, 29 Suppose -2*w = -12*w - 850. Let m(v) = -251*v + 2. Let u be m(1). Let n = w - u. What are the prime factors of n? 2, 41 Let r(t) = -t**3 + 67*t**2 + 183*t - 115. List the prime factors of r(68). 5, 23, 67 Let z(a) = 10*a**3 - 8*a**2 + 6*a + 32. Let q be (2/4)/(35/350). What are the prime factors of z(q)? 2, 139 Let k(a) = 69*a**2 - 3*a - 18. Suppose -3*x - 4*j = -11, 5*x - 7*x + 2*j = 16. What are the prime factors of k(x)? 2, 3, 17 List the prime factors of (-504)/13356 - (-6957632)/106. 2, 37, 887 Let z(f) = f**3 - 2*f**3 - 103 + 106 - 10*f**2. Let x be z(-10). Suppose 0 = -x*a + 12 - 6. List the prime factors of a. 2 Let l be (2 - 2)*(14 + -15) - -3. Suppose 0*v - l*g = -5*v + 2040, -4*g + 20 = 0. What are the prime factors of v? 3, 137 Let j = -214 - -208. Let y(s) = -48*s - 10. What are the prime factors of y(j)? 2, 139 Suppose 6*i = i - 70. Let m = -44 - i. What are the prime factors of m/(-20) - (-259)/2? 131 Let p be 7/((-714)/(-12)) - (-63780)/34. Suppose -6524 + p = -28*n. List the prime factors of n. 2, 83 Let b(w) = 2*w**2 - 28*w + 84. Let a be b(10). Suppose -g = 2*q - 357, 3*q - 5*q - 1378 = -a*g. What are the prime factors of g? 347 Suppose 17*i = 119698 + 353108 + 153321. List the prime factors of i. 3, 12277 Suppose -8 = 2*y, 6 = -2*w - 4*y - 0*y. Suppose s - 7 = 2*i, w*i - 4*s = -9*s - 10. What are the prime factors of 3/i - 6/(12/(-98))? 2, 3 Let s = 239 + 242. Suppose -3*q - s + 1558 = 0. List the prime factors of q. 359 Let m = 5 - 9. Let b(g) = -31*g + 53*g + 6*g**2 - 2 + 0*g - 29*g. List the prime factors of b(m). 2, 61 Let i = 11498 - -27. What are the prime factors of i? 5, 461 Suppose 32*m - 143155 = 8301. What are the prime factors of m? 4733 Suppose 4*n - 5*u - 6943 = 0, 5*u - 3479 = -7*n + 5*n. What are the prime factors of n? 3, 193 Let r = -3608 + 5349. Suppose 1429 = 10*j - r. What are the prime factors of j? 317 Let w = 53 + -51. Suppose -w*t + 440 = 5*o - 1028, 4*t + 3*o - 2950 = 0. Suppose -7*u - 46 + t = 0. What are the prime factors of u? 3, 11 Let w(c) = c + 16. Let t be w(-12). Suppose t*l - 354 - 330 = 0. What are the prime factors of l? 3, 19 Suppose f + 7 = 2*k, -k = -3*f + 3 + 6. Suppose 22*q - 23*q = -k. Suppose 0*u - q*u = -426. What are the prime factors of u? 71 Let p = 465 - 105. Let k = 28 + -20. Suppose p - 1208 = -k*m. What are the prime factors of m? 2, 53 Suppose -5*m + 47 = 32. Suppose 4*p = m*p + 4*o + 841, -4*p - o = -3398. What are the prime factors of p? 3, 283 Let g be (4 - 0)/((-1)/(-4)). Let z be (4 + g/(-4))/(-2). List the prime factors of 89/(0 + 1) - z. 89 Suppose -325747 - 827845 = 149*d - 6456651. What are the prime factors of d? 35591 Let o be 20/(-3)*(6 + 234/(-30)). Suppose -f + 3*a + o = -371, f + 4*a = 397. List the prime factors of f. 389 Let a(r) = -r + 9. Let l be a(7). Suppose -d + l*d = -4, 0 = 2*j - 2*d + 24. Let k = j - -107. What are the prime factors of k? 7, 13 What are the prime factors of 2*(-11507)/(-2) - (7 + -1 + -9)? 2, 5, 1151 Let f = 29070 + -22515. What are the prime factors of f? 3, 5, 19, 23 Let j be 1/3 - (-408)/(-9). Let p = j + 49. Suppose -5*w = -4*i + 892, -4*i - p*w - 452 = -6*i. List the prime factors of i. 2, 109 Let f be (4 - (-63)/(-18))/((-2)/(-9304)). Suppose -2*g = -6*j + 9*j - f, -g = 2*j - 1164. What are the prime factors of g? 2, 5, 29 What are the prime factors of (-37628 - 5)*(13 + -14)? 37633 Let v = -3675 + 5222. List the prime factors of v. 7, 13, 17 Let j = 2247 - 1351. Let g = -1 + 1. Suppose -j = -g*t - 4*t. List the prime factors of t. 2, 7 Let f = -41912 - -74735. List the prime factors of f. 3, 7, 521 Let s = 837 - 735. Let m = 381 - s. What are the prime factors of m? 3, 31 Let l = 7 - 7. Suppose -28*k + 27*k + 5 = l. Suppose k*u + 28 = 7*u. List the prime factors of u. 2, 7 Let i(t) = -238*t**3 + t**2 - 4. Let w be i(-2). Let d = 3285 - w. What are the prime factors of d? 1381 Let l be (-2 + 5/3)*72/(-8). What are the prime factors of ((-52)/l)/((-4)/210)? 2, 5, 7, 13 Suppose -4*b + 53996 = -4*v - 44740, 0 = -6*b - 4*v + 148064. List the prime factors of b. 2, 5, 617 Suppose 0 = -2*u - 10 + 40. Suppose b = -2*s + 12, -6*s + 5*s + u = 5*b. Suppose 4*v - 4*l - 622 = -2*l, 3*l - 331 = -b*v. List the prime factors of v. 2, 79 Suppose -16039 = -4*h + 3*k, h = 2*k + 4550 - 544. What are the prime factors of h? 2, 17, 59 Let p(u) = u**2 + 12*u - 23. Let y be p(5). Let k = y - 60. Suppose 3*l + 570 = k*n + 163, n - 5*l = 214. What are the prime factors of n? 199 Let q = -151 - -150. List the prime factors of (-56)/112 - (q + 1711/(-2)). 2, 107 Let a = 18269 - 12381. What are the prime factors of a? 2, 23 Let c = 423 - 173. Suppose -g + 6 = 143. Let x = g + c. What are the prime factors of x? 113 Let k(d) = -d**3 + 21*d**2 + 24*d - 36. Let n be k(22). Suppose -5*h - 147 = 2*x - 808, n = -4*x. List the prime factors of h. 7, 19 Let h be (-15 + 19 - 7)*(0 - -1). List the prime factors of 543 - 2 - (-1 + (-5 - h)). 2, 17 Let r = 18495 + 13903. What are the prime factors of r? 2, 97, 167 Let h be 1/((-14)/(-900)) + 38/(-133). Let i be h/(-6)*66/11. Let c = -14 - i. List the prime factors of c. 2, 5 Suppose -69*n + 230416 = -41*n - 304524. What are the prime factors of n? 5, 3821 Let k(o) = 5*o + 195. Let j be k(-38). Let r(b) = 100*b - 181. List the prime factors of r(j). 11, 29 Let l(t) = 2252*t - 102. List the prime factors of l(10). 2, 11, 1019 Let n(a) be the second derivative of 15*a**4/4 - 2*a**3 + 13*a**2/2 - 241*a. What are the prime factors of n(4)? 5, 137 Let v = 7288 + -5637. List the prime factors of v. 13, 127 Let q(x) = 2*x**2 - 4*x. What are the prime factors of q(37)? 2, 5, 7, 37 Let y(q) be the first derivative of 3*q**4/4 - 2*q**3 + q**2 + 11*q + 16. What are the prime factors of y(4)? 5, 23 Suppose 3*u + 33 = -i - 1796, -2*i + 2*u = 3690. Let g = i - -2951. What are the prime factors of g? 2, 3, 5, 37 Let a = 1580 - 581. Let d = a + -686. List the prime factors of d. 313 Let w(j) = 19*j**2 - 75*j - 137. What are the prime factors of w(-33)? 23029 Let t = -160 + 653. Suppose 0 = 4*o - t - 1091. Let d = o + -194. List the prime factors of d. 2, 101 Suppose f - 13 + 9 = 0. Let d(p) = p. Let q be d(f). Suppose -h - 3*o = -64, 2*o = o - q. List the prime factors of h. 2, 19 What are the prime factors of (2 + 49650)/((0 - 2)/(23 - 24))? 2, 12413
Let r be ((-4)/(-3) + (-5 - -3))*-6. Solve m - 2*m - 24 = r*i, -2*i = m + 14 for i. -5 Let f = -59 - -64. Solve -4*b + r = -18, f*b - r = -2 + 24 for b. 4 Suppose q = k - 4, 2*k - 8*q + 4*q = 8. Solve 2*z + 0 = k*h - 8, 4*z - 8 = -4*h for h. 2 Suppose 10 = 2*z + 3*z. Suppose 64 = i + q, -z*q = -1 + 3. Suppose -i + 20 = -3*l. Solve -4*u = -3*u + c + 3, 0 = 5*u - 3*c + l for u. -3 Let x be 5/((-13)/(-2) + -4). Suppose 5*g - 2*q = 0, 5*g - 3*g = -x*q + 14. Solve 4*t = -k - 4, 2 = -k - 3*t - g for k. -4 Let h be 3/((-45)/(-6)) + (-78)/(-30). Solve -4 = -o + u, -h*u + u + 27 = 5*o for o. 5 Let t be 220/6 - 437/(-1311). Let h(g) = g**3 - g**2 - g + 1. Let d be h(2). Solve t = 4*n - 5*b, d*n + 4*b + 8 = -n for n. 3 Suppose 8*f + 3*f - 22 = 0. Solve -3*c - 15 = 0, u + c + f*c + 10 = 0 for u. 5 Suppose 0 = -5*l - 3*j + 2*j + 99, 5*l - 2*j = 102. Let w = 42 + -33. Suppose w*t - 11*t + 8 = 0. Solve 0*v - 4*v + 10 = 2*q, -t*q + l = 0 for v. 0 Let y(o) be the second derivative of o**5/20 - 5*o**4/12 + 7*o**3/6 - o**2/2 + 14*o. Let r be y(3). Solve -3*b = r*k - 8, -2*k + 13 = 4*b + 5 for b. 0 Let c(n) = n**2 + 35*n + 235. Let u be c(-26). Solve -21 = d + 5*v, -2*d + 6*d - u = -3*v for d. 4 Let c = 224 - 220. Let r(i) = 2*i**2 - i + 1. Let t = -3 + 4. Let s be r(t). Solve c*a - 5*n = 16, 2*a = -s*a - 3*n - 16 for a. -1 Suppose 0 = 5*z + 43 - 143. Suppose z = 4*q + q. Solve 0 = 5*i + w + 6, -q*i = w + 1 + 3 for i. -2 Let b be -10 + 3 + 6 - -3. Solve -3*t + b*z = 19, -5*t + 3*z - 40 = -2*z for t. -3 Let y = 480 - 477. Let o(h) = h**2 + 3. Let f be o(0). Solve -y = -5*n - 4*j, -2*j - 21 = -f*n + 2*j for n. 3 Let i(k) be the third derivative of k**4/24 + 11*k**3/6 - 25*k**2. Let z be i(-8). Let x = -1 - -5. Solve -2*d - 3*t = -17, -3*d + z = x*t - 21 for d. 4 Let v be 5/10*14 - -6. Solve 5*m + 3*x = -v, -7*x - 7 = m - 2*x for m. -2 Let z(r) = -1605*r + 1605. Let m be z(1). Let s be (-2)/(-9) - 25/(-9). Solve 5*v = -0*v - 2*p - 15, m = s*p for v. -3 Suppose 0 = 343*a - 329*a - 154. Solve -4*c - 5*v + 0 = -a, -3*c - 18 = -5*v for c. -1 Suppose 0 = -g - g - 5*q + 30, 0 = -3*g + 2*q + 26. Solve 0 = 2*o - 4*m - g, 2*m = 5*o - 3*m - 10 for o. -1 Suppose 5*r + 4 = -i + 7, -3*i + 5*r + 29 = 0. Suppose i = 2*w + 4. Solve -2*q + 7 = m, 23 = 3*m + 2*m - w*q for m. 5 Let v = -425 + 427. Solve -12 = l - 5*i + 3*i, -v*l + 16 = 4*i for l. -2 Let o = 675 + -672. Solve 0 = 2*u - 4*x - 6 + 18, -o*x + 3 = 0 for u. -4 Let g(n) be the second derivative of -n**4/12 - n**3/3 + 2*n**2 - 4*n. Let f be g(0). Solve 3*m - f*d = -4, -13 - 7 = -5*d for m. 4 Suppose -5*r - h + 13 = -11, 2*r = 3*h - 4. Let y = 8 - r. Solve 3*a = 2*n - 0 + y, -2*a = -3*n - 1 for a. 2 Let v = 205 + -190. Solve -2*f + 8 = 2*u, 4*f + 3*u + 4 = v for f. -1 Let j be 5/4*264/110. Solve -b = f - 3, 2*b + 1 = j*f + 2 for f. 1 Suppose 0 = 2*u - 6*u + 20. Let p(i) = i**2 - 13*i + 8. Let q be p(7). Let y be (-3 - q/10)*5. Solve -2*b = u*k - 28, 3*b - 8 = -k + y*b for k. 4 Suppose 3*w - 27 + 18 = 0. Suppose 4*i = 3*z - 4, i = -2*z + w*z - 2. Let n(t) = -t**2 + 4*t. Let y be n(i). Solve 3*f = -8 - y, -m - 9 = f for m. -5 Let k be (-1)/(-7) - (-52)/28. Solve 3*b + 4*x + 11 = k*b, 5*b + 5*x = -10 for b. 1 Let h = 1 - -5. Suppose -h*q + q = -40. Let n = -6 + q. Solve 3*l - u - 5 = 0, n*u = -2 - 8 for l. 0 Let b(c) = -c**3 - 4*c**2 - 4*c - 3. Let j be b(-3). Suppose -3*y + j = -9. Suppose -y*d + 5*d - 10 = 0. Solve d*z + 3*v - 16 = 0, z - 6 = 2*v + 5 for z. 5 Suppose 0 = m - r + 44, -88 = 5*m + 3*r + 140. Let x be (-370)/m - (-10)/(-45). Solve -x = v + v, -v = -5*h + 19 for h. 3 Suppose -p - m = 0, -4*p - 3*m + 24 = -5*m. Solve p*f + 2*i = 14, -f - 5 = 4*f - 2*i for f. 1 Let i = 76 - 79. Let x be (6 - (-4)/(-2)) + i. Solve 2*d - x = -5*o + 2*o, -d + 1 = o for o. -1 Suppose -w - 3*y - y + 19 = 0, 4*w + 4*y = 112. Let h = w - 30. Solve -i - 8 = -4*v, -4*i + h = 3*v + 14 for v. 1 Let j be (-1)/(1 + -2)*4. Let p be ((-288)/40)/(j/(-10)). Suppose -w + p = 2*w. Solve b + 13 = 4*n + w*b, -n + 2 = b for n. -3 Suppose 0 = -1265*r + 1254*r + 198. Solve j = 3*k + r, -k + 5 - 4 = 2*j for k. -5 Let k be 1/2*11 - 5/10. Solve -q - k = -2*a - 2, -3*a + 27 = 3*q for a. 4 Suppose -5 = 10*k - 35. Let w(a) = -a + 5. Let x be w(5). Solve -5*p + 4*h - 7 = x, p - h = -k*h + 7 for p. 1 Suppose -5*g + 4*j + 0 + 16 = 0, 5*j = 2*g - 3. Let n be 5 + -2 + 3*1. Let s be (-3)/n*1*0. Solve m = -r + 5, s = -g*r + m + 3 + 17 for r. 5 Let z(k) = k**2 - 6*k - 1. Let n be z(5). Let p be (3 + -7)/(n/12). Solve b = 3*w - p, 6 = b - 4*b for w. 2 Let f(l) = -l + 15. Let u be ((-6)/(-16))/(8/64). Suppose -v - 4*m = -13, u*v - 16 = 4*m + 23. Let i be f(v). Solve d - 14 + 1 = -3*h, -i*d + 5 = -h for h. 3 Suppose -21*y + 15 = -16*y. Suppose -4*h - y = -h, -5*h - 61 = -4*z. Let x be (-26)/(-6) - (-12)/18. Solve -4*r - 4*f - 11 = 5, x*f + z = -3*r for r. -3 Let z(s) = s**2 + 15*s + 28. Let t be z(-13). Suppose w = -5*v - 14, -20 = -2*w + 5*w + 4*v. Let x = w - -6. Solve x*l = -t*u + 12, -5*u + 3*l = 5 - 3 for u. 2 Let k = 48 - 50. Let h(t) = -t + 2. Let n be h(k). Solve 3*d - 9 = -x, -n*x - 3 + 18 = 5*d for x. 0 Let z(d) = -d**3 + 19*d**2 + 39*d + 77. Let j be z(21). Solve -3*t = -2*o - 9, -5*t + 3*o = j - 30 for t. 5 Let o = -5 - -7. Suppose -2*d = -o*p, 4*d + 5*p + 22 - 4 = 0. Let j be d*(-2)/4 + 0. Solve 0 = 3*f - 6*f + 3*i - 9, -3*f + i = j for f. 1 Let r = 57 - 44. Suppose 5*x - r = -3. Solve 4*h - 5*d = 5, 2*h + x*d - 23 = -7 for h. 5 Let v(n) = 4*n**2 - 2*n + 1. Let p be v(1). Let o(y) = -2*y**2 + 28*y + 69. Let g be o(16). Solve -2*d - 12 = -p*t - g*d, 0 = -3*d + 9 for t. 1 Let v be 94 + -97 + (1 + 2 - -2). Solve -b + 25 = -2*o + 7*o, -4*b = v*o - 28 for o. 4 Let n = 670 + -667. Solve 2*m = -m - 5*z + 10, n*m = 3*z - 30 for m. -5 Suppose -15*j + 12*j = 0. Suppose j = 5*g - 100. Solve 5*o = 3*n + g, -5*n - o - 24 = -0*o for n. -5 Let u(v) = -v**2 - 6*v + 2. Let k be u(-5). Let q be 2/k + (-2070)/(-105). Solve 3*m + 10 = 2*x - 1, -5*m + 5*x - q = 0 for m. -3 Suppose 119*y - 12 = 113*y. Solve 5*q - y*k = 2*q - 15, 5*q = k - 25 for q. -5 Suppose -2*k = -8 - 4. Let f(r) = -8*r**2 + 3 - 10*r + 0 + k*r**2. Let p be f(-5). Solve p*u - 1 = 2*u, -4*c - 5*u + 17 = 0 for c. 3 Suppose 2*h = -0*h. Suppose 3*w + 2 - 5 = 0. Suppose 0 = -h*y + y - w. Solve 5*n - 2*i = y, -2*i = 2*n - 1 + 9 for n. -1 Suppose -4*z + 6 = -3*z + 5*j, -3*z + 3*j - 18 = 0. Let y be -10*2/(z + 0). Solve -5*o = y*d, -3*o + 4*d - 7 = -0*d for o. -1 Let d be (2/4 + -1)*-2. Let t be (-38)/(-6) + 1/(-3). Let f = t + d. Solve 0 = -5*b + 10, -f*x + 3*x = -4*b + 24 for x. -4 Let y be 6/81 - 2128/(-432). Solve 0*m + 2*m = 3*i - 9, y*m - 4*i + 19 = 0 for m. -3 Let m be -5*(-7 + 6 - 0). Solve 27 = -3*v - 3*n, 12 = v - m*v + 2*n for v. -5 Let r = -6 - -9. Suppose -r*j - 5 = 10, -4*j - 45 = -5*u. Suppose 0 = 4*f - 22 + 6. Solve -f*g + 12 = 0, -19 = -u*k + k - g for k. 4 Suppose -6*r + 8*r - 5*t = 16, -3*r - t = -7. Solve -5*s + 3 = -r*f - 0, 4*f - 2*s - 10 = 0 for f. 4 Let n(x) = -3*x**3 + 35*x**2 - 22*x + 4. Let f be n(11). Solve 4*u - 24 = 4*p - 3*p, 5*p + f*u = 0 for p. -4 Suppose 0 = 3*i - 2*t - 32 + 13, t + 20 = 3*i. Solve i*l - 2*l = -5*g + 35, -5*g + 19 = -3*l for g. 5 Let x be (-1 - -5)*4/8. Let j = 3 + x. Suppose 0 = -2*u - 10, -7*u + 20 = 2*f - 11*u. Solve j*m + 22 = -3*h, f = m + 3*h + 3 + 11 for m. -2 Let c be (2/(-6))/((-3)/(-9)). Let h be c/(-2) - (-450)/20. Solve -22 = 4*f - 2*g, 0*f + h = -f + 4*g for f. -3 Let b(j) = 2*j**3 + j - 1. Let t be b(1). Let a be ((t - 2)/(-1))/(-3). Solve -2*i + x - 6 = a, -2 = 5*i + x - 1 for i. -1 Suppose 6*f - 115 = f. Let h = f + -21. Solve -4*g + g + h = 2*u, -4*g = 4*u for u. -2 Let d be 140/(-8) + 1/(-2). Let x = 38 + d. Suppose -21*s = -17*s - x. Solve -2*b - 23 = s*n, 4*b - n - 10 + 1 = 0 for b. 1 Let v = 6219 - 6216. Let j = 5 + -3. Solve j*a + v*a = 4*t + 45, 3*t + 10 = -a for a. 5 Let t(d) = d**3 - 9*d**2 + d + 10. Suppose 4*q + 36 = 72. Let x be t(q). Solve 2*o = -r - 4*r + 16, 5*o - x = -2*r for o. 3 Let r = 29 - 23. Suppose -5*l + l + r*l = 0. Solve -5*a + 10 = 5*q, -q + 5*q + 3*a - 6 = l for q. 0 Suppose -208*u + 207*u - 5 = 3*q, -5*u + 4*q + 32 = 0. Solve -z = -u, -p - 8 = -2*z - 1 for p. 1 Let p(s) = -2*s + 9. Let b be p(3). Suppose 3*c + 3 = -0*u - 3*u, -b*c + 17 = -u. Solve 3*j + j + 5*d + 26 = 0, -c*d + 8 = -4*j for j. -4 Suppose 3*d - 11*h = -12*h + 9, 5*d = -2*h + 16. Suppose -2*s - a + 2 = -0*s, -5*a = 5*s - 5. Solve -3*p + d + s = -4*c, 3 = 3*p for c. 0
Let f = -5 - -4.5. Let j = f + -0.3. Let l = -0.7 - j. Which is the smallest value? (a) -1 (b) -3/4 (c) l a Let j be (24/10)/((-5)/25). Let b be 14/35 - j/(-5). What is the third biggest value in 0.1, -3/5, b? b Let i = -126 + 885/7. Let y = -3.285 - 0.015. Let c = 0.3 + y. What is the second biggest value in c, i, -5? c Let c = 4.6 + -5. Let h = -2 + -1.5. Let r = 0.5 - h. What is the smallest value in c, r, -5? -5 Let o = -13 + 20. Suppose -o = 5*p - 4*r, -3*p = -4*r + 4 + 5. Let u be p - ((-6)/9 + 2). Which is the third biggest value? (a) u (b) -2/5 (c) -2/7 b Let w = 7 - 5. What is the smallest value in -0.04, w, -0.3? -0.3 Let p be 16/4 - 75/18. Let o = -9 + 4. Let x = 7 - 2. What is the smallest value in o, x, p? o Let k be 3/(-2) - (-38)/12. Let u = 5 - 7. Let z be (-5)/(-20)*u/(-3). What is the third smallest value in k, -3/5, z? k Let h be (-1062)/(-30) + 8/(-20). Which is the third biggest value? (a) -3/4 (b) -1 (c) h b Let s(r) = -r**2 - 6*r - 2. Let q be s(-5). Suppose -9 = -3*g + 3*a, -q*g + 0*a = 3*a - 3. Let d = -3.4 - -1.4. What is the second smallest value in d, -4, g? d Let l = 25 + -21. Let j be 0/(-1) + (-2)/5. Let d(f) = -f**3 + 3*f**2 + 3. Let o be d(3). What is the second smallest value in o, l, j? o Let n(y) = -2*y - 19. Let f be n(-9). What is the biggest value in 2, f, 5/4? 2 Let u = -0.24 - 0.06. Let x = 6 + -6.3. Let g = x - u. What is the third biggest value in 4, g, 1? g Let u = 0 + 1. Let f = 39.7 - 46. Let s = -1.3 - f. Which is the biggest value? (a) s (b) u (c) 0.4 a Let f = 9 - 4. Suppose -f*l - 13 + 3 = 0. Let i = -0.04 + 0.04. Which is the smallest value? (a) 0.3 (b) i (c) l c Let k = -67 - -72. Which is the second smallest value? (a) k (b) 2/5 (c) 3 c Let y = 0.1 + -0.3. Let b = -5.2 - y. Suppose 5*v - 8 = 3*v. What is the biggest value in v, b, 3? v Suppose 3*c - 3*g = 66, -4*c + 5*g = -0*g - 93. Let a = c - 16. What is the third smallest value in a, 0.5, -0.5? a Let j = -50 - -49.7. Which is the fourth smallest value? (a) 2 (b) 0.1 (c) j (d) -1 a Let f(q) = -q**3 - 3*q**2 + 2*q + 4. Suppose -3*j - 11 = -2. Let r be f(j). Let h = 107/444 - -1/111. Which is the biggest value? (a) 0 (b) r (c) h c Let x = 14 - 20. Let m = x + 5. Let t = 0.1 - 4.1. Which is the second biggest value? (a) 1 (b) t (c) m c Let o(x) = -2*x**2 - 47*x + 20. Let z be o(-24). Which is the smallest value? (a) -1/8 (b) 1 (c) -2 (d) z d Let y = 17/6 - 7/2. What is the third smallest value in y, -3, -3/5? -3/5 Let s = -424/1989 - 2/221. Let z(x) = -x**2 + 3*x - 3. Let u be z(2). Which is the second smallest value? (a) s (b) 0.3 (c) u a Let w = 1 - 0.7. Let s = -0.7 + 0.7. What is the second smallest value in w, s, -1? s Suppose 0 = -3*u - 20 + 8. Let t be u/2 + 32/18. Let o be (-17)/(-36) - 1/4. Which is the smallest value? (a) o (b) t (c) 0 b Let q = -21.5 - -21.3. Let n = -0.6 + 0.1. What is the third biggest value in 0.01, n, q? n Let h = 0 + 2. Let l = h - 1. Which is the biggest value? (a) l (b) -1/2 (c) 0.4 a Let l = 26 - 47. Let r = 16 + l. Which is the biggest value? (a) r (b) -0.2 (c) 0.03 c Let r be (-1)/2 + 3/(-6). Let q be 12/90*(r + 2). Let u = -19 + 19. Which is the biggest value? (a) q (b) 5/3 (c) u b Let o = -6.4 + -1.6. Let f = o + 3. Which is the third biggest value? (a) f (b) 1/4 (c) -2 a Let a be 34/(-51) - (-22)/(-12). What is the second biggest value in -2/5, -1/4, a, 2/11? -1/4 Let h = 41.5 - 41. Which is the third smallest value? (a) h (b) 0 (c) -0.4 a Let z = -1.955 - 0.045. Which is the third smallest value? (a) 0 (b) z (c) 2/19 c Let b be -6 + -1 + 1 + 3. Let p be (1/b)/((-3)/(-18)). What is the biggest value in p, 5, 0? 5 Let w = -4.03 + 0.03. Let u be (183/4)/((-2595)/12). Let q = -2/173 - u. What is the second biggest value in -5, w, q? w Let x = -7 - -10. What is the third smallest value in 1/7, x, 0? x Let p = -0.41 - -0.41. What is the second smallest value in p, 3, -2/15, 5? p Let g be 4/32 - (-1)/(-8). Which is the third biggest value? (a) g (b) -0.06 (c) -2 c Let f = 0.01 + 9.99. What is the biggest value in -4/7, f, 3/4? f Suppose 0 = w + 4, 3*r - 3*w + 2*w = 16. Let y be 1 + 1*(-3)/r. Which is the third biggest value? (a) -1/4 (b) y (c) -3/4 c Let k = -14.8 + 19.8. Which is the second smallest value? (a) k (b) 4 (c) 0.1 b Let r = 11.5 - 11. Which is the third smallest value? (a) 4 (b) -4 (c) r a Let g = -33 + 32. What is the fourth smallest value in 3/8, -2/3, g, 3? 3 Let u = -5 + 1. Let j = -1 - -1.2. Let w = j + -0.1. Which is the smallest value? (a) w (b) u (c) 5 b Let o(u) = u**2 - 9*u - 22. Let j be o(11). Which is the smallest value? (a) -0.03 (b) -2 (c) j b Suppose -120 = 3*t + t. Let q be (-2)/(-3) - (-35)/t. Which is the second biggest value? (a) 2 (b) 3 (c) q a Let u = -1607/15 + 107. Which is the biggest value? (a) u (b) 2/5 (c) 0.2 b Let t = -6.14 + 0.14. Let x = t + 2. Which is the smallest value? (a) -5 (b) x (c) 2/3 a Let i be 1 - 3*(-2)/(-15). What is the second biggest value in -3, i, 2/5? 2/5 Let i = -0.97 - 0.03. Which is the biggest value? (a) i (b) -2/15 (c) -0.3 b Let v = -24.44 + 24. Let h = v + 0.04. What is the second biggest value in h, 0, 0.5? 0 Let r be 3/(-2) - 481/(-286). What is the third smallest value in 2, 5, r? 5 Suppose -4*f + 8 = -4*g, 3*g + 18 = -0*f - 3*f. What is the second biggest value in g, 1, 0, -11? 0 Let y be 5 - (-12)/(-16)*4. Suppose -16 = 3*l - v, v = -2*l - y*v - 7. Let q = 2 + 3. Which is the third smallest value? (a) 4 (b) l (c) q c Let m be 11 - 12 - (-1 + (-4)/22). Which is the fourth biggest value? (a) 1/3 (b) 2/9 (c) m (d) 2 c Let x = 5.394 - 0.394. Let q = 0.02 + -2.02. Which is the third biggest value? (a) x (b) q (c) 2 b Let j = 0.1 - 0.06. Let h = j + -0.44. What is the second biggest value in 0.3, h, 1/2? 0.3 Suppose 2 = 5*i + 27. Which is the second smallest value? (a) -4 (b) -0.3 (c) i a Let d = -59 + 54. Which is the second biggest value? (a) d (b) -2 (c) 2 b Let g be -3*(-2)/(-198)*(-1 + -5). What is the smallest value in 4, g, 4/3, 1? g Let t be 5/8 + (-399)/(-1064). Let r be -2 + 1 - (-5)/6. What is the third smallest value in r, t, -5? t Let o = -4 - -1. Let g = -9 - -8.5. Let f = g + 4.5. What is the biggest value in o, f, 1/3? f Let s = -39 + 43. Which is the second biggest value? (a) 0 (b) 0.2 (c) s (d) -2 b Let v = 18 - 23. Let s = -77/2 + 39. Which is the second biggest value? (a) 3 (b) s (c) v b Let z = 1 + -0.3. Let s = z + -0.4. Let x = 5.3 - 1.3. What is the third biggest value in s, x, -0.4? -0.4 Suppose 0 = -d + 1, 0*r - 3*r - 5*d = 4. Which is the third smallest value? (a) r (b) 0.18 (c) 2/9 c Let v = 0 - -0.2. Let a be (6/(-9))/(1/3). Let l = -6.4 + 6. What is the biggest value in a, l, v? v Let t = -1.2 + 6.2. Suppose 0 = 2*j + 8 - 2. What is the second biggest value in -1/8, t, j? -1/8 Let c be (-46)/12 + (-3)/18. What is the third biggest value in c, -2, -3? c Let l(f) = -2*f - 2. Let i be l(-3). Let h be ((-4)/22)/(52/i). Let k = h - 133/715. What is the second biggest value in -2, 1, k? k Suppose 5*q + 0 = -20. Let k = -266/3 + 88. Which is the third smallest value? (a) k (b) 4 (c) q b Let r be -2 + 3 - 3 - -4. What is the third smallest value in 0, -2/7, r? r Let r be (2 - 3)/(3/(-15)). Suppose a - r*a = 16. Let z = -0.3 + 3.3. What is the second biggest value in -2/11, z, a? -2/11 Let t be (3/(-42))/((-12)/42). Which is the third smallest value? (a) 2 (b) t (c) 7 c Suppose 0 = 3*s - s - 10. What is the second biggest value in 0.3, -2, 6, s? s Let d = -10 - -6. Let s be 3 + (-2 - -3) - 0. Which is the third biggest value? (a) s (b) -0.5 (c) d c Let i = 1.8 - 2.1. Let y(x) = 3*x**2 - 3*x - 4. Let w be y(-5). Let v = w + -341/4. What is the second smallest value in v, i, 2? v Let o = 151/198 - 17/18. What is the third biggest value in -2, o, 2? -2 Let k = -8.92 + -0.08. What is the second biggest value in k, 2, 3? 2 Let q = -0.38 - -0.78. What is the third smallest value in 0.14, q, 3? 3 Let v = 15 + -17. Which is the third biggest value? (a) v (b) 0.5 (c) -1/7 a Let w be 4/21*7/(-6). Suppose 3*j - 2*h = 65 - 27, -h = 3*j - 35. Let q be ((-2)/(-3))/((-28)/j). Which is the second smallest value? (a) q (b) w (c) -3/7 a Let g(f) = 3*f**2 - 3*f. Let x be g(2). What is the third biggest value in x, 1, 4? 1 Let w be (1143/(-18))/(70 + -1). Let s = w - -2/23. Which is the second smallest value? (a) -2/11 (b) s (c) -2 b
Product of -31 and 5. -155 32*0.26 8.32 302 times -0.5 -151 What is the product of 2 and 1105? 2210 -12.219*-0.1 1.2219 Calculate 0*37. 0 0.794 times 0.2 0.1588 Work out 2389 * -2. -4778 What is the product of -0.5 and -0.11? 0.055 Work out -3226 * 0.1. -322.6 What is 2632 times 0? 0 Work out -7 * -1722. 12054 What is -371 times 0.4? -148.4 Work out 0.4 * -0.96. -0.384 Product of -421 and 18. -7578 -237*-14 3318 Calculate -0.3409*-3. 1.0227 -3.3 times -11 36.3 0.5 times -16 -8 4 * 0.76 3.04 Multiply -14 and -0.1121. 1.5694 Product of -0.1 and 0.47. -0.047 What is the product of 2.79 and -4? -11.16 Product of 0.6 and -83. -49.8 -0.013 * 70 -0.91 Work out 1.7 * 5. 8.5 Product of 2 and 546. 1092 -0.4 times 577 -230.8 Product of 7 and -99. -693 -2609 * 3 -7827 -2.69 times 2 -5.38 What is the product of 4.8 and 30? 144 Calculate 35.2*-1. -35.2 Multiply 0 and 0.01. 0 -0.765*0.2 -0.153 Work out 5 * -61. -305 Work out 0.4 * 64. 25.6 -1045*5 -5225 What is the product of -2 and 2622? -5244 Multiply 0 and 242. 0 Multiply -67 and 2. -134 1549 * -0.4 -619.6 -3175*2 -6350 Product of 4 and -0.138. -0.552 63*32 2016 Multiply 22 and 5. 110 -0.58 * -96 55.68 What is -17.2 times -1? 17.2 Calculate 0.05*-0.2. -0.01 Multiply 0.0144 and -37. -0.5328 Work out -0.1 * -1.06. 0.106 Work out -0.3 * -0.125. 0.0375 0.5 * 0.498 0.249 Multiply -0.4 and 1.62. -0.648 Product of -0.006 and -5.2. 0.0312 Product of 790 and 0.2. 158 What is 1.5 times 63? 94.5 Calculate 102*-0.1. -10.2 Multiply -5 and -34.2. 171 Product of -8.8 and 12. -105.6 Multiply 448 and -5. -2240 What is the product of 0.8 and 69? 55.2 Work out 1.19 * 1. 1.19 23*11 253 Multiply 0.08 and 0.74. 0.0592 Product of 5 and -1057. -5285 What is 311 times 2? 622 -26*0.1 -2.6 Multiply -49 and -0.04. 1.96 What is -0.35 times -0.9? 0.315 20 * -660 -13200 -30 * -21 630 15 times -1.1 -16.5 5 * -62 -310 What is the product of -4 and 78.15? -312.6 -40 * -1 40 19 times -9.6 -182.4 4 times 2011 8044 What is -0.01 times -35? 0.35 What is the product of 0.3 and 0.227? 0.0681 -9 * -122 1098 What is 47 times -1.2? -56.4 Multiply 4 and 0.00549. 0.02196 Multiply 0 and -71. 0 Product of 0 and -8. 0 What is -0.4 times -0.217? 0.0868 1.1 * -22 -24.2 Multiply 71 and -0.12. -8.52 What is the product of 0.2 and 0.99? 0.198 Work out 173 * -5. -865 Multiply 0.03 and 4.7. 0.141 Product of 0.4 and -675. -270 12.3*4 49.2 Multiply 1 and -0.23. -0.23 -4 * 5.39 -21.56 0.1 times -803 -80.3 -45*4 -180 0.2 * -0.1227 -0.02454 Product of 0.3403 and 0. 0 Multiply 0.6532 and -0.4. -0.26128 Calculate -456*0.3. -136.8 Work out 0.024 * 57. 1.368 4.01 * -2 -8.02 Product of 0.2 and 0.86. 0.172 What is -2.6915 times -5? 13.4575 -100*-5 500 0.007*-0.4 -0.0028 Work out 0.8 * 23. 18.4 122 times 6 732 What is the product of -94 and 0.5? -47 Calculate -188.4*0.4. -75.36 -17*285 -4845 4.19 times 5 20.95 -3 * -513 1539 What is 0.2 times -11.2? -2.24 -0.0219*-0.08 0.001752 What is the product of -11.311 and 0.2? -2.2622 0.004*-4.2 -0.0168 Multiply 7.5 and -3. -22.5 -3*1290 -3870 0.22 times 6 1.32 -0.133 * -1 0.133 Product of 2 and -2746. -5492 Work out -229 * 0.03. -6.87 116 times -16 -1856 Work out -1 * 2594. -2594 What is the product of -5 and 0.62? -3.1 Product of -9 and 631. -5679 Product of 0 and -0.318. 0 What is the product of 3 and 32? 96 Multiply 23.2 and -73. -1693.6 Calculate 3*28.3. 84.9 -0.5 * -0.05707 0.028535 4 * -0.86 -3.44 -4164 times 0.05 -208.2 Multiply -7 and -0.048. 0.336 -2 * -55 110 -649*4 -2596 Multiply -0.104 and -2.07. 0.21528 Calculate -15*80. -1200 Calculate 0.177*2. 0.354 Multiply -3115 and 0.3. -934.5 Product of 3 and 326. 978 Multiply 0.17 and 0.06. 0.0102 What is 0.24 times -9? -2.16 Multiply 71 and 2. 142 What is the product of 181 and 1.04? 188.24 -3.1 * -0.16 0.496 What is the product of 1349 and -5? -6745 Calculate 0.4*1011. 404.4 0.02 * -0.12 -0.0024 Calculate 44129*4. 176516 Product of -1 and -281. 281 0 * 0.67 0 -0.94 * -68 63.92 What is the product of 3 and 0.79? 2.37 -0.149*0.05 -0.00745 Product of -1.6 and -16.6. 26.56 What is 36411 times 2? 72822 What is -0.6 times -500? 300 Product of 4 and -313. -1252 Work out 9 * 39. 351 Product of 1 and -55. -55 -0.45 * -278 125.1 -4.6*0.6 -2.76 Multiply 0.6 and 65.94. 39.564 -28.23*-0.5 14.115 Calculate 1.88*-2.3. -4.324 What is -41 times -0.7? 28.7 What is 403 times -5? -2015 Product of -9.5 and 4. -38 -3730*-0.8 2984 Calculate 0.1*-0.77. -0.077 What is -3.78 times 4? -15.12 What is the product of -7 and -3.2? 22.4 0.22*4 0.88 Work out -15 * 124. -1860 What is the product of 4 and 262? 1048 -280 times 0.1 -28 Calculate -7.76*-0.6. 4.656 Work out 0.053 * -0.08. -0.00424 -33.86 * 5 -169.3 What is the product of -412 and -4? 1648 Calculate -0.2*123. -24.6 0.158*-3 -0.474 -15 times -0.7 10.5 -0.4 * -10.7 4.28 What is 18.2 times 0.3? 5.46 What is -0.5 times -72.1? 36.05 What is the product of -59.1 and -0.04? 2.364 Multiply -1.72 and -36. 61.92 17291 * -0.2 -3458.2 What is the product of 2.61 and 0.1? 0.261 Calculate -0.213*-2. 0.426 -0.13*-28 3.64 Calculate -28*-261. 7308 -0.07 * -0.265 0.01855 1*0.0213 0.0213 What is 1 times -30? -30 38*-144 -5472 What is 1323 times -1? -1323 1.3 times -0.0486 -0.06318 -6 * -156 936 Product of 0.77 and 5. 3.85 -0.97 * 12 -11.64 63*-1.8 -113.4 -495 times -0.3 148.5 5 times -0.03 -0.15 Work out -2 * 3.2. -6.4 Calculate 677*-0.1. -67.7 Multiply -177 and 0.4. -70.8 Work out -792 * -0.15. 118.8 -763 times -5 3815 0.076 times -0.8 -0.0608 18 times 5.7 102.6 Work out -0.04899 * -0.1. 0.004899 Calculate 0.6*-0.213. -0.1278 Calculate -5*-2814. 14070 Multiply -1 and 109. -109 Product of -0.97 and 0.051. -0.04947 11*1.02 11.22 Product of -0.722 and 1.3. -0.9386 Multiply 22.37 and 0.2. 4.474 -12.38*-0.8 9.904 -27 * -0.205 5.535 Work out 0.902 * 2.4. 2.1648 -45 * 1 -45 Multiply 0.033 and -0.03. -0.00099 Calculate 5*34. 170 Work out -1.328 * 7. -9.296 Calculate 0.26*0.024. 0.00624 -189.7 * 5 -948.5 What is -0.0209 times -0.02? 0.000418 -0.026 * 0.3 -0.0078 What is -9 times 3.21? -28.89 What is -92 times -0.5? 46 Product of -14 and 8. -112 What is the product of -3.77 and -1? 3.77 93 * 18 1674 -4 * 0.31 -1.24 Work out 8.35 * 18. 150.3 312 times -0.5 -156 Product of -0.13 and 1.7. -0.221 Product of -4.7 and -7. 32.9 Product of -0.6 and 1.6. -0.96 Product of -0.24 and 55. -13.2 -0.05 * -0.8 0.04 -0.026*-6 0.156 Product of -0.5 and 292. -146 149*-25 -3725 Multiply -2 and -3. 6 5*-41 -205 What is the product of 0.05 and -61? -3.05 -9.5*4 -38 -0.5 times -743 371.5 Work out -1.98 * -0.13. 0.2574 What is 21.5 times -0.6? -12.9 -1 * -517 517 Calculate -0.2*-991. 198.2 Product of -117.33 and 3. -351.99 Product of -0.05 and 24.8. -1.24 What is the product of 1.046 and -0.1? -0.1046 Work out -0.2 * 0.4. -0.08 Multiply 0.2 and 43. 8.6 68*-2 -136 -0.72*-12 8.64 What is 5 times -74? -370 -1 * 147 -147 -565*-0.3 169.5 Multiply -2 and 48. -96 What is 0.0659 times 0.3? 0.01977 What is the product of 0.1 and 266? 26.6 0.06*-10.3 -0.618 What is the product of 4 and -59? -236 What is the product of -16 and -42? 672 What is the product of 0.4 and 10? 4 What is -390.8 times -0.2? 78.16 -6 times 0.6 -3.6 Product of 40 and 0. 0 What is the product of -0.1 and 315? -31.5 Product of 10 and 0.137. 1.37 0.2 times 493 98.6 0.062 times 0.2 0.0124 What is -2 times -33.54? 67.08 Product of 0.1 and 68. 6.8 What is -88 times -14? 1232 What is the product of -4 and 65? -260 -4*-58 232 -1 times -100 100 2.4*86 206.4 Work out -0.02 * -5. 0.1 -226 * -3 678 -4 times -0.459 1.836 Product of -4 and -0.896. 3.584 Multiply 2 and 6. 12 Work out -144.3 * 0.3. -43.29 -3.2 times 0.35 -1.12 What is the product of -0.97 and -53? 51.41 Product of -0.19 and 0.44. -0.0836 1.13 times 1.5 1.695 -0.46 times -30 13.8 What is 6 times -146.4? -878.4 What is the product of 27 and -0.028? -0.756 9 * -11.8 -106.2 -108*3 -324 Calculate -0.55*-1. 0.55 What is the product of 3.099 and 1? 3.099 Product of -205.6 and 7. -1439.2 405*-0.4 -162 29 * 0.4 11.6 Multiply 876 and 0.06. 52.56 Product of 6 and -452.6. -2715.6 -8 times -91 728 What is the product of 27 and 0.2? 5.4 Multiply 0.3 and -4.498. -1.3494 -34*4 -136 What is the product of -8.1 and -0.86? 6.966 Multiply -3 and 117. -351 -0.09*-7.2 0.648 What is 0.2 times 0.759? 0.1518 1.2*-172 -206.4 What is -0.2 times 81? -16.2 -0.4 * 0.043 -0.0172 Calculate 0.43*0.4. 0.172 Work out -65 * 0.2. -13 -0.2*-1221 244.2 What is -50 times -61? 3050 Multiply -69.08 and 0. 0 2*0.2682 0.5364 What is the product of -0.4 and 290? -116 Work out 5 * -0.1. -0.5 Work out 0.8 * -0.043. -0.0344 What is the product of -0.03 and -1015? 30.45 Calculate 2*-189. -378 Multiply -0.007 and -61. 0.427 Calculate -0.78*-28. 21.84 Product of -220 and -5. 1100 Work out -0.06 * 31. -1.86 2.7 * -17 -45.9 4497 times 3 13491 -8.47 * 0.4 -3.388 0.0213 times -38 -0.8094 1 * 44 44 Work out 129 * -0.5. -64.5 5 times -0.05 -0.25 -0.1*-0.1002 0.01002 -140 times 1 -140 Work out -341.5 * 0.2. -68.3 -16*3 -48
Calculate the least common multiple of 14 and 14. 14 What is the lowest common multiple of 30 and 27? 270 What is the common denominator of -103/576 and -107/12? 576 Calculate the least common multiple of 371 and 49. 2597 What is the common denominator of 67/39 and -41/606? 7878 What is the common denominator of 89/18 and -89/15116? 136044 What is the common denominator of 69/4 and 79/40? 40 Find the common denominator of 17/91 and -23/65. 455 What is the least common multiple of 112 and 16? 112 What is the common denominator of 53/68 and -31/4? 68 Calculate the common denominator of -57/416 and -19/80. 2080 Calculate the lowest common multiple of 48 and 96. 96 Find the common denominator of 93/280 and 103/350. 1400 Calculate the smallest common multiple of 462 and 180. 13860 Calculate the common denominator of -33/574 and -73/902. 6314 Calculate the lowest common multiple of 214 and 2. 214 Find the common denominator of -179/180 and -26/15. 180 What is the common denominator of 49/125 and 109/52? 6500 What is the common denominator of -81/26 and -40/9? 234 Find the common denominator of -19/876 and 37/76. 16644 What is the common denominator of 28/143 and 17/121? 1573 Calculate the lowest common multiple of 16 and 1898. 15184 Calculate the common denominator of 20/27 and 67/54. 54 What is the lowest common multiple of 24 and 12? 24 What is the common denominator of -28/55 and 41/65? 715 Calculate the common denominator of -181/60 and 97/50. 300 What is the common denominator of -51/40 and 111/50? 200 Calculate the lowest common multiple of 54 and 220. 5940 Calculate the least common multiple of 1332 and 14. 9324 What is the lowest common multiple of 1256 and 10? 6280 Calculate the smallest common multiple of 221 and 52. 884 Calculate the common denominator of -11/136 and 13/80. 1360 Calculate the smallest common multiple of 7353 and 7. 51471 Calculate the smallest common multiple of 782 and 238. 5474 What is the common denominator of -51/160 and 35/96? 480 Find the common denominator of -1/91 and -105/52. 364 Find the common denominator of 13/118 and -73/2. 118 Find the common denominator of -53/28 and -89/96. 672 Calculate the smallest common multiple of 1362 and 3. 1362 Find the common denominator of 95/4074 and 85/48. 32592 What is the common denominator of 35/54 and 17/10? 270 What is the common denominator of 37/40 and 19/110? 440 Calculate the smallest common multiple of 12 and 2061. 8244 What is the lowest common multiple of 340 and 4080? 4080 Calculate the common denominator of 5/126 and 53/2007. 28098 What is the common denominator of 103/56 and -13/8? 56 Calculate the common denominator of -43/30 and -109/120. 120 Calculate the lowest common multiple of 328 and 410. 1640 Calculate the common denominator of -39/2 and 55/21. 42 Calculate the least common multiple of 208 and 208. 208 What is the smallest common multiple of 7 and 257? 1799 What is the least common multiple of 748 and 16? 2992 Calculate the lowest common multiple of 172 and 20. 860 What is the common denominator of 119/96 and -133/960? 960 Calculate the common denominator of -149/144 and -87/40. 720 What is the common denominator of 59/144 and -109/42? 1008 Calculate the common denominator of -23/224 and 43/70. 1120 Calculate the least common multiple of 266 and 7. 266 Find the common denominator of -28/9 and 27/28. 252 What is the common denominator of -97/62 and -31/22? 682 What is the smallest common multiple of 1465 and 7? 10255 Calculate the common denominator of 115/418 and 13/304. 3344 What is the least common multiple of 918 and 612? 1836 Calculate the smallest common multiple of 36 and 156. 468 What is the common denominator of 51/5830 and -16/5247? 52470 Find the common denominator of 133/450 and -87/400. 3600 Calculate the smallest common multiple of 220 and 570. 12540 What is the common denominator of -48/5 and 48/35? 35 Calculate the smallest common multiple of 3256 and 1628. 3256 Calculate the smallest common multiple of 12 and 1622. 9732 What is the smallest common multiple of 8 and 2506? 10024 Calculate the common denominator of 55/78 and 44/75. 1950 Calculate the smallest common multiple of 9 and 2190. 6570 Calculate the least common multiple of 4 and 13990. 27980 Calculate the smallest common multiple of 216 and 8. 216 Calculate the common denominator of -59/510 and 77/93. 15810 What is the smallest common multiple of 36 and 15? 180 Find the common denominator of 79/356 and 35/24. 2136 What is the common denominator of 51/169 and 61/3? 507 What is the smallest common multiple of 6 and 13? 78 Find the common denominator of -5/14 and -49/806. 5642 Calculate the common denominator of 77/816 and -19/96. 1632 What is the least common multiple of 248 and 217? 1736 What is the common denominator of -61/11210 and 43/3363? 33630 Calculate the least common multiple of 1 and 65. 65 What is the least common multiple of 25 and 10? 50 Calculate the lowest common multiple of 8 and 80. 80 What is the least common multiple of 11 and 5099? 56089 Calculate the smallest common multiple of 33 and 45. 495 What is the common denominator of -10/13 and 35/13? 13 Calculate the lowest common multiple of 1183 and 52. 4732 Find the common denominator of -109/144 and 71/8. 144 What is the least common multiple of 74 and 20? 740 Calculate the lowest common multiple of 48 and 16. 48 What is the common denominator of 21/880 and -107/240? 2640 What is the lowest common multiple of 158 and 28? 2212 What is the smallest common multiple of 45 and 100? 900 What is the common denominator of 99/208 and 50/13? 208 What is the smallest common multiple of 1075 and 5375? 5375 Calculate the common denominator of -29/1840 and 51/46. 1840 Find the common denominator of 109/220 and 119/1170. 25740 What is the lowest common multiple of 3690 and 22? 40590 What is the lowest common multiple of 365 and 35? 2555 Calculate the common denominator of 26/955 and 61/75. 14325 What is the common denominator of 107/560 and 3/320? 2240 Calculate the least common multiple of 2385 and 18. 4770 What is the common denominator of 91/12 and -127/30? 60 Calculate the lowest common multiple of 11966 and 1930. 59830 What is the lowest common multiple of 380 and 608? 3040 Calculate the least common multiple of 75 and 9. 225 What is the least common multiple of 42 and 8? 168 What is the common denominator of -19/327 and -11/9? 981 What is the smallest common multiple of 235 and 376? 1880 What is the common denominator of -1/168 and -15/224? 672 Calculate the smallest common multiple of 1316 and 3619. 14476 What is the lowest common multiple of 3150 and 2? 3150 What is the smallest common multiple of 6 and 18336? 18336 What is the common denominator of -43/282 and -5/21? 1974 What is the least common multiple of 30 and 34? 510 What is the common denominator of -109/10 and 49/1084? 5420 What is the smallest common multiple of 390 and 39? 390 What is the common denominator of -101/946 and 99/20? 9460 What is the least common multiple of 8 and 338? 1352 Calculate the common denominator of 83/10 and 53/275. 550 What is the common denominator of -28/65 and 71/30? 390 Calculate the lowest common multiple of 10 and 17. 170 Calculate the lowest common multiple of 10 and 342. 1710 What is the common denominator of -85/786 and -73/15? 3930 Find the common denominator of -67/3 and -44/623. 1869 Calculate the common denominator of -18/1703 and -13/1441. 18733 What is the common denominator of -14/5 and 131/5810? 5810 What is the common denominator of 68/1101 and 71/2936? 8808 Find the common denominator of 71/447 and -43/3. 447 Find the common denominator of -4/93 and -13/12. 372 What is the common denominator of 46/507 and -29/15? 2535 Find the common denominator of -53/21 and 151/2646. 2646 Calculate the common denominator of 47/20 and -83/122. 1220 Find the common denominator of 13/42 and 105/44. 924 What is the lowest common multiple of 35 and 15? 105 What is the smallest common multiple of 18 and 88? 792 Calculate the least common multiple of 297 and 99. 297 Calculate the common denominator of 17/174 and -41/1624. 4872 What is the common denominator of -53/6 and -61/339? 678 Calculate the common denominator of 71/4542 and -71/18. 13626 Calculate the common denominator of 25/12 and -139/2892. 2892 Calculate the common denominator of 31/123 and -11/21. 861 Calculate the common denominator of 31/506 and 49/88. 2024 What is the lowest common multiple of 357 and 42? 714 What is the common denominator of -40/49 and 55/42? 294
Let n(p) be the second derivative of -2*p**7/315 - 23*p**6/225 - 11*p**5/75 + 77*p**4/90 - 2*p**3/3 + 1986*p. Suppose n(t) = 0. Calculate t. -10, -3, 0, 1/2, 1 Let c(f) be the first derivative of 5*f**4/4 + 5*f**3/3 - 6902. Factor c(d). 5*d**2*(d + 1) Let k(g) be the first derivative of 7/60*g**3 - 1/600*g**5 + 1/40*g**4 + 9/2*g**2 + 0*g - 9. Let x(m) be the second derivative of k(m). Factor x(v). -(v - 7)*(v + 1)/10 Let v = 8 + -8. Suppose v = u + 4*b - 33, 3*u - 90 = -u + 5*b. Solve 13*t - 4*t**2 + 11*t**2 - 20*t**3 + u*t**2 + 3*t = 0. -2/5, 0, 2 Suppose -o - 11*u - 10*u - 3 = -19*u, 4*u + 8 = 0. Find h such that 27/2*h + 7*h**2 - o = 0. -2, 1/14 Factor -109*r**2 - 27*r**2 + 26*r**3 - 107*r**2 - 57*r**2 - 27*r**3. -r**2*(r + 300) Let v(k) be the third derivative of -k**7/525 - 427*k**6/300 - 17*k**5/2 - 1273*k**4/60 - 424*k**3/15 + 59*k**2 + 3. Find x, given that v(x) = 0. -424, -1 Let q be (-3350)/(-14) + ((-320)/(-112))/(-10). Solve -225 + 25*w - q*w - 58*w**2 - 41*w + w**5 + 31*w**4 + 265*w**3 - 11*w**3 + 252*w**2 = 0. -15, -1, 1 Let f be (-8)/(-20)*(-430)/(-731). Solve 0 - f*b - 2/17*b**2 = 0. -2, 0 Factor -1773*o - 343*o - 268*o - 376*o - 476100 - 4*o**2. -4*(o + 345)**2 Let d(n) = -n**3 - 17*n**2 - 115*n - 2392. Let b be d(-18). What is q in 0 + 10/7*q**3 + 6/7*q + 2/7*q**4 + b*q**2 = 0? -3, -1, 0 Let y = -48 - -52. Suppose -3*i - y = -4*s - 0*i, 28 = 4*s + 3*i. Suppose -v**5 - 19*v**3 + 2*v**s - 3*v - v**4 - v**2 + 22*v**3 + v = 0. Calculate v. -1, 0, 1, 2 Let x(i) be the second derivative of i**4/30 + 244*i**3/5 + 133956*i**2/5 + i + 331. Factor x(r). 2*(r + 366)**2/5 Let d(w) be the second derivative of 2*w**6/15 - 11*w**5/5 + 10*w**4 + 64*w**3/3 - 320*w**2 - 272*w. Factor d(p). 4*(p - 5)*(p - 4)**2*(p + 2) Suppose -7*n = 5*n + 528. Let b be (96/n - -2) + (-756)/(-770). Let -b*o**3 + 2/5*o**4 + 0*o + 0 + 2/5*o**2 = 0. What is o? 0, 1 Suppose 5*q + 6*q = -22*q + 165. Let z(i) be the third derivative of 0 + 5/9*i**4 - 11/90*i**q + 0*i + 4/9*i**3 - 9*i**2. Determine x, given that z(x) = 0. -2/11, 2 Let g(d) be the first derivative of 11 + 0*d**2 - 1/3*d**3 + 16*d + 1/12*d**4. Let z(t) be the first derivative of g(t). Let z(q) = 0. Calculate q. 0, 2 Let l = -2213084/7 - -316156. What is o in -l*o + 4/7*o**4 + 8/7*o**3 - 4/7*o**2 + 0 = 0? -2, -1, 0, 1 Suppose l - 2*h = -0 - 6, 0 = 2*l + 5*h - 15. Suppose 2*a - 86 = 126*n - 134*n, -30 = -3*n. Determine w, given that l - 3*w + 3/2*w**a + 3/2*w**2 = 0. -2, 0, 1 Let o = -16 + 18. Let c be 1/(-1*(-85)/130 - 44/286). Factor o*h + 8/3*h**3 - 14/3*h**c + 0. 2*h*(h - 1)*(4*h - 3)/3 Let z(b) be the second derivative of -b**5/120 + 19*b**4/72 + 11*b**3/6 - 50*b + 10. Determine y, given that z(y) = 0. -3, 0, 22 Let z(d) be the third derivative of 9*d**8/112 + 12*d**7/5 + 1081*d**6/40 + 261*d**5/2 + 351*d**4/2 + 108*d**3 + 3856*d**2. Solve z(y) = 0. -6, -1/3 Suppose -2*m + 4*p = -82, 5*m + 25*p - 229 = 27*p. Solve -27*x**2 - 22*x**2 + m*x**2 + 2*x + 4 = 0 for x. -1, 2 Suppose 0 = -4*l + 2*o - 6*o + 20, -3*l = 4*o - 14. Suppose -l*x + 2*x = -8. Solve -x*m**2 - 2*m**4 + 0*m**2 + m + 6*m**3 - 4*m**2 + m = 0. 0, 1 What is q in 0 - 34/7*q**5 - 38*q**3 + 36/7*q**2 + 0*q - 48*q**4 = 0? -9, -1, 0, 2/17 Suppose -39*l + 10/3*l**2 - 1/12*l**3 + 108 = 0. What is l? 4, 18 Let n(x) be the second derivative of x**6/60 + 9*x**5/40 + x**4 + 5*x**3/3 + 78*x - 3. Solve n(z) = 0 for z. -5, -2, 0 Let m(u) be the second derivative of 2*u**7/63 - 41*u**6/135 - 241*u**5/90 - 119*u**4/18 - 185*u**3/27 - 22*u**2/9 + 1371*u. Find i, given that m(i) = 0. -2, -1, -1/6, 11 Let f(g) be the second derivative of 1/98*g**7 + 0*g**2 + 1/2*g**4 - 4/7*g**3 - 4*g - 3 - 2/35*g**6 - 9/140*g**5. Find a such that f(a) = 0. -2, 0, 1, 4 Let c(g) be the second derivative of g**5/30 + g**4/9 - 17*g**3/3 + 36*g**2 + 5*g - 7. Factor c(l). 2*(l - 4)*(l - 3)*(l + 9)/3 Let p be (120735/10732)/(((-30)/4)/(-3)). Suppose -3/2*y**3 + 135/2*y + p*y**2 + 243/2 = 0. What is y? -3, 9 Let g(y) = -5*y**2 + 4*y - 7. Let x be g(6). Let z be x/5379*-2*(0 + 3). Factor -2/11 + 2/11*c**3 - z*c + 2/11*c**2. 2*(c - 1)*(c + 1)**2/11 Suppose -17 + 13 = -n + k, -2*n - k = -2. Factor 13*x + 43*x**3 + 18*x**2 - 48*x**3 + 42*x**n + 52*x. -5*x*(x - 13)*(x + 1) Let u(p) be the first derivative of p**4/6 - 136*p**3/9 + 487*p**2/3 - 280*p + 10661. Factor u(l). 2*(l - 60)*(l - 7)*(l - 1)/3 Let z(a) be the first derivative of -a**3/18 - 15*a**2/4 - 43*a/3 - 1954. Solve z(u) = 0 for u. -43, -2 Let g(w) = 3*w**3 - 5*w**2 - 15*w + 1. Let q(r) = -17*r + 1 + 7*r + 2*r**3 - 5*r - 3*r**2 + 5*r. Let d(z) = -5*g(z) + 8*q(z). Factor d(c). (c - 1)**2*(c + 3) Let r(n) = 16*n - 460. Let u be r(29). Factor -9*g**3 + 5*g**u + 5*g**5 + 39*g**2 + 0*g**5 + 10*g - 44*g**2 - 6*g**3. 5*g*(g - 1)**2*(g + 1)*(g + 2) Let y(j) be the third derivative of j**7/840 - j**6/40 + 3*j**3 - 90*j**2. Let l(o) be the first derivative of y(o). Factor l(h). h**2*(h - 9) Let w(o) be the third derivative of o**6/280 + 79*o**5/140 - 43*o**4/28 - 240*o**3/7 + 5*o**2 + 117. Find t such that w(t) = 0. -80, -2, 3 Factor 4*s**3 - 63*s - 44*s**2 - 136*s - 25*s - 304 + 64. 4*(s - 15)*(s + 2)**2 Let g(l) be the first derivative of -l**4/96 + l**3/16 - l**2/8 + 52*l - 29. Let h(k) be the first derivative of g(k). Factor h(z). -(z - 2)*(z - 1)/8 Let y(h) be the second derivative of -131/60*h**5 + 128/3*h**2 - 368/9*h**3 - 12 - 373/12*h**4 - 2/45*h**6 - 3*h. Determine k so that y(k) = 0. -16, -1, 1/4 Let h = -554 - -557. Let a(k) = 7*k**2 + 19*k + 19. Let g(x) = -9*x - 47*x - 56 - 23*x**2 + 3*x**2. Let q(u) = h*g(u) + 8*a(u). What is t in q(t) = 0? -2 Let g(p) be the second derivative of -12*p**2 - 63/20*p**5 + 23/5*p**6 - 2*p + 18*p**3 - 11 - 15/14*p**7 - 19/2*p**4. Let g(y) = 0. Calculate y. -1, 2/5, 2/3, 1, 2 Let w(i) = -28*i - 20. Let y = -46 + 66. Let z(j) be the third derivative of j**5/60 + j**4/24 + j**3/6 + 8*j**2. Let r(l) = y*z(l) + w(l). Factor r(h). 4*h*(5*h - 2) Suppose -2*f + 2 + 16 = 0. Suppose i + 40 = f*i. Suppose -8*s**2 - 15*s**3 + i*s**5 + 2*s**2 + 0*s**5 - 4*s**2 = 0. What is s? -1, 0, 2 Let s = -29/25516 + 51235/178612. Find d such that 50/7*d + s*d**2 + 48/7 = 0. -24, -1 Let n be -12 - 1944/(-240)*(-15)/(-9). Let p(h) be the first derivative of -n*h**2 + 3/4*h**4 + 9*h - 3*h**3 - 4. Factor p(d). 3*(d - 3)*(d - 1)*(d + 1) Solve -32*m**3 + 41616*m - 28*m**3 + 97*m**3 - 33*m**3 - 816*m**2 = 0 for m. 0, 102 Let b(k) = -8*k**3 + 4*k + 2. Let p(q) = -q**5 + q**4 - q**3 - q**2 + 1. Let v be (-22)/(-121) + 72/(-33). Let t(x) = v*p(x) + b(x). Solve t(f) = 0. -1, 0, 1, 2 Let f(m) be the first derivative of -m**3/3 - 4*m**2 + 12*m + 9. Let k be f(-9). Suppose 3*z**4 - 19*z**3 + 32*z**k + 3*z**2 - 19*z**3 = 0. What is z? 0, 1 Let m(j) be the third derivative of -j**8/336 + 19*j**7/210 - 13*j**6/20 - 7*j**5/3 + 25*j**4/3 + 2*j**2 + 56. Factor m(o). -o*(o - 10)**2*(o - 1)*(o + 2) Let l(m) be the third derivative of 49/3*m**3 + 0 - 61/60*m**5 + 7/8*m**4 + 1/8*m**6 - 1/210*m**7 + 0*m + 53*m**2. Find p such that l(p) = 0. -1, 2, 7 Suppose 60*b**3 + 36*b**2 - 17*b**5 + 44*b**5 - 21*b**5 + 24 - 2*b + 34*b**4 - 30 = 0. Calculate b. -3, -1, 1/3 Let z(x) be the second derivative of -x**6/105 - 466*x**5/35 + 467*x**4/7 - 2804*x**3/21 + 935*x**2/7 - 2663*x. Factor z(q). -2*(q - 1)**3*(q + 935)/7 Let a(y) = -y**2. Let j(i) = i**3 + i**2 - i + 2. Let c be -4 + -6 + 5 + (3 - 1). Let q(s) = c*a(s) - j(s). Solve q(l) = 0 for l. -1, 1, 2 Let w(y) be the first derivative of -5*y**4/4 - 570*y**3 + 1715*y**2/2 + 2941. Factor w(p). -5*p*(p - 1)*(p + 343) Let -41085*s**3 + 1336*s**2 + 20538*s**3 + 20551*s**3 = 0. Calculate s. -334, 0 Let f be (-21)/((-63)/(-46)) + 96/6. Factor -2 - 4/3*d + f*d**2. 2*(d - 3)*(d + 1)/3 Suppose -5*x - 132 = -222. Suppose 0 = 11*d - 17*d + x. Determine u so that -4/3*u**2 + 1/3*u**d + 4/3*u + 0 = 0. 0, 2 Let v(o) be the third derivative of o**7/42 - o**6/12 - 109*o**5/4 - 805*o**4/6 - 800*o**3/3 + 76*o**2 - 2*o + 2. What is b in v(b) = 0? -16, -1, 20 Find k such that -48668/7 - 65/7*k**3 - 5819/7*k + 1/7*k**4 + 1311/7*k**2 = 0. -4, 23 Let d(s) be the second derivative of -5/42*s**4 + 3/35*s**5 + 0*s**3 - 30*s - 2 - 1/105*s**6 + 0*s**2. Factor d(u). -2*u**2*(u - 5)*(u - 1)/7 Let v(y) = -24*y**3 - 87*y**2 - 84*y + 6. Let x(u) = -u**2 + 6. Let j(d) = 1. Let o(z) = -5*j(z) + x(z). Let w(h) = -6*o(h) - v(h). Find n such that w(n) = 0. -2, 1/8
Solve 5*v**5 - 35*v**4 + 30*v**3 + 110*v**2 - 35*v - 75 = 0. -1, 1, 3, 5 Suppose -a**5/9 - 2*a**4/3 - 10*a**3/9 + 11*a/9 + 2/3 = 0. Calculate a. -3, -2, -1, 1 Factor h**4/2 - 8*h**3 + 53*h**2/2 - 31*h + 12. (h - 12)*(h - 2)*(h - 1)**2/2 Find d such that 9*d**3 + 57*d**2 + 60*d = 0. -5, -4/3, 0 Factor 3*c**4 + 108*c**3 + 1194*c**2 + 3420*c - 4725. 3*(c - 1)*(c + 7)*(c + 15)**2 Let -2*d**2 + 36*d = 0. Calculate d. 0, 18 Factor -3*a**2/4 - 207*a - 14283. -3*(a + 138)**2/4 Find z such that z**4 - 25*z**3 - 54*z**2 = 0. -2, 0, 27 Factor 3*d**3 + 18*d**2 + 9*d - 30. 3*(d - 1)*(d + 2)*(d + 5) Factor 5*p**5 - 45*p**4 + 90*p**3 + 20*p**2 - 120*p. 5*p*(p - 6)*(p - 2)**2*(p + 1) Find u, given that -u**4/3 - 4*u**3 + 103*u**2/3 - 30*u = 0. -18, 0, 1, 5 Factor -2*h**3/3 - 2912*h**2 - 3179904*h. -2*h*(h + 2184)**2/3 Find i, given that i**2/4 + 2453*i/4 + 613 = 0. -2452, -1 Factor 31*z**2 - 1862*z/3 + 40/3. (z - 20)*(93*z - 2)/3 Suppose 8*z**5 + 28*z**4/3 - 92*z**3/3 - 112*z**2/3 - 16*z/3 = 0. Calculate z. -2, -1, -1/6, 0, 2 Factor g**3 - 63*g**2 + 764*g + 828. (g - 46)*(g - 18)*(g + 1) Let -5*l**4 + 40*l**3 + 60*l**2 - 720*l = 0. What is l? -4, 0, 6 Factor -4*m**3 - 3484*m**2 - 763840*m - 2260272. -4*(m + 3)*(m + 434)**2 Solve 32*m**5/5 - 148*m**4/5 + 82*m**3/5 - 8*m**2/5 = 0 for m. 0, 1/8, 1/2, 4 Factor 3*a**4/2 + 17*a**3/2 + 9*a**2/2 - 5*a/2. a*(a + 1)*(a + 5)*(3*a - 1)/2 Determine w, given that -20*w**4/3 - 76*w**3/3 + 44*w**2 + 44*w/3 - 80/3 = 0. -5, -4/5, 1 Find l such that -l**2/4 - 459*l/2 - 210681/4 = 0. -459 Factor -50*a**3/3 + 290*a**2/3 - 208*a/3 + 40/3. -2*(a - 5)*(5*a - 2)**2/3 Factor u**5/6 + 33*u**4/2 - 67*u**3/2 + 101*u**2/6. u**2*(u - 1)**2*(u + 101)/6 Let -4*l**2 - 3280*l = 0. Calculate l. -820, 0 Factor 2*p**2/3 + 3764*p/3 + 1770962/3. 2*(p + 941)**2/3 Factor y**3/6 - 223*y**2/6 - 464*y - 1410. (y - 235)*(y + 6)**2/6 Find q, given that -2*q**3 + 52*q**2 + 110*q + 56 = 0. -1, 28 Suppose -3*c**3/2 - 153*c**2/2 - 2601*c/2 - 14739/2 = 0. What is c? -17 Let -5*m**5 - 195*m**4 - 1800*m**3 + 2000*m**2 = 0. Calculate m. -20, 0, 1 Find j such that 4*j**2 - 180*j - 3904 = 0. -16, 61 Factor b**3 - b**2 - 6*b. b*(b - 3)*(b + 2) Let -3*h**5/5 - 33*h**4/5 - 93*h**3/5 - 63*h**2/5 = 0. What is h? -7, -3, -1, 0 Determine o so that -5*o**2 - 15*o - 10 = 0. -2, -1 Factor 3*v**2/7 - 11085*v/7. 3*v*(v - 3695)/7 Find t such that -2*t**5/11 - 164*t**4/11 - 4370*t**3/11 - 34664*t**2/11 + 83104*t/11 - 43904/11 = 0. -28, 1 Suppose -4*q**2/3 - 112*q/3 + 116/3 = 0. Calculate q. -29, 1 Factor -8*s**3 - 90*s**2 - 300*s - 250. -2*(s + 5)**2*(4*s + 5) Suppose -4*j**4/5 - 66*j**3/5 + 38*j**2/5 + 66*j/5 - 34/5 = 0. What is j? -17, -1, 1/2, 1 What is k in k**2/9 + 4754*k/9 + 5650129/9 = 0? -2377 What is h in -h**3 + 12*h**2 - 5*h - 66 = 0? -2, 3, 11 Factor 5*r**4 - 17*r**3 + 16*r**2 - 4*r. r*(r - 2)*(r - 1)*(5*r - 2) Let 24*p**5/7 + 122*p**4/7 - 136*p**3/7 - 22*p**2/7 + 12*p/7 = 0. What is p? -6, -1/3, 0, 1/4, 1 Factor -b**3 + 3*b**2 + 4*b. -b*(b - 4)*(b + 1) Find r, given that -2*r**4/9 - 4*r**3/3 + 16*r**2/3 + 448*r/9 + 256/3 = 0. -4, 6 Let 5*g**2 - 90*g - 95 = 0. What is g? -1, 19 Find j such that -4*j**5 - 1628*j**4 - 169656*j**3 - 812808*j**2 - 470340*j + 1454436 = 0. -201, -3, 1 Solve 3*y**3/4 + 3*y**2/4 = 0 for y. -1, 0 Solve -392*f**3/5 - 112*f**2 - 186*f/5 - 18/5 = 0 for f. -1, -3/14 Let 5*y**3/2 - 135*y**2/2 + 405*y = 0. What is y? 0, 9, 18 Determine p, given that 27*p**4 + 126*p**3 - 5577*p**2/4 + 1815*p/4 - 75/2 = 0. -10, 1/6, 5 Determine h, given that -h**4/4 - 41*h**3/4 - 399*h**2/4 + 441*h/4 = 0. -21, 0, 1 Solve 3*m**3 + 9*m**2 - 12*m - 36 = 0 for m. -3, -2, 2 Factor -2*w**4/7 - 54*w**3/7 - 486*w**2/7 - 1458*w/7. -2*w*(w + 9)**3/7 Factor -r**3/3 + 2*r**2 + 61*r/3 - 70. -(r - 10)*(r - 3)*(r + 7)/3 Factor m**2/2 - 20*m + 102. (m - 34)*(m - 6)/2 Factor 2*q**4/7 - 80*q**3/7 + 78*q**2/7. 2*q**2*(q - 39)*(q - 1)/7 Find h such that -h**5 - 50*h**4 - 459*h**3 + 4094*h**2 - 8288*h + 4704 = 0. -28, 1, 2, 3 Determine f so that 2*f**2/3 + 76*f - 464/3 = 0. -116, 2 Factor -203*m**4 - 304*m**3 - 20*m**2. -m**2*(7*m + 10)*(29*m + 2) Solve -2*n**5/7 - 290*n**4/7 - 10652*n**3/7 - 9792*n**2/7 + 20736*n/7 = 0 for n. -72, -2, 0, 1 Let -6*l**2 + 3*l = 0. What is l? 0, 1/2 Let -5*o**4 - 1285*o**3 - 81905*o**2 + 85785*o + 166410 = 0. What is o? -129, -1, 2 Find f such that -2*f**2/5 + 2632*f/5 - 526 = 0. 1, 1315 What is d in -2*d**2 - 88*d - 86 = 0? -43, -1 Suppose -2*c**5/11 - 28*c**4/11 + 32*c**3/11 + 28*c**2/11 - 30*c/11 = 0. Calculate c. -15, -1, 0, 1 Factor o**2 + 428*o - 3488. (o - 8)*(o + 436) Suppose -5*z**3 + 90*z**2 + 95*z = 0. What is z? -1, 0, 19 Let -2*l**3/7 + 18*l**2/7 + 32*l/7 - 120/7 = 0. What is l? -3, 2, 10 Suppose n**2/4 - 79*n/4 - 174 = 0. Calculate n. -8, 87 What is n in -3*n**2 + 1566*n + 1569 = 0? -1, 523 Determine c, given that -c**3 - 5*c**2 - 4*c = 0. -4, -1, 0 Suppose 2*s**2 - 24644*s + 75915842 = 0. Calculate s. 6161 Let -3*y**3/5 + 24*y**2/5 + 276*y + 1680 = 0. What is y? -10, 28 Determine o so that -18*o**3 + 786*o**2 - 2000*o + 1312 = 0. 4/3, 41 Find p, given that -6*p**4/7 - 978*p**3/7 + 990*p**2/7 + 978*p/7 - 984/7 = 0. -164, -1, 1 Suppose -26*g**5 - 100*g**4 - 114*g**3 - 32*g**2 + 8*g = 0. Calculate g. -2, -1, 0, 2/13 Factor -2*t**2/11 + 2384*t/11 - 2382/11. -2*(t - 1191)*(t - 1)/11 Find o, given that 5*o**2 - 5230*o = 0. 0, 1046 Factor -2*n**2/7 + 676*n/7 - 2010/7. -2*(n - 335)*(n - 3)/7 Suppose 26*c**2/15 - 38*c/3 - 352/5 = 0. What is c? -48/13, 11 Solve -35*x**4 - 515*x**3 - 1810*x**2 - 1540*x + 600 = 0 for x. -10, -3, -2, 2/7 Factor 3*d**5 + 249*d**4 + 4782*d**3 - 15870*d**2 + 16383*d - 5547. 3*(d - 1)**3*(d + 43)**2 Suppose -5*m**5 - 25*m**4 + 1005*m**3 + 7525*m**2 - 1000*m - 7500 = 0. Calculate m. -10, -1, 1, 15 Factor -3*r**5 - 207*r**4 - 3465*r**3 + 3675*r**2. -3*r**2*(r - 1)*(r + 35)**2 Factor -t**4/2 + 7*t**3/2 - 2*t**2 - 6*t. -t*(t - 6)*(t - 2)*(t + 1)/2 Let 2*f**2 - 162*f - 164 = 0. What is f? -1, 82 Find s such that -2*s**3/7 - 30*s**2/7 + 32*s/7 = 0. -16, 0, 1 Suppose 3*w**4/4 - 45*w**3/4 + 99*w**2/2 - 60*w = 0. Calculate w. 0, 2, 5, 8 Suppose i**2 + 7476*i + 13972644 = 0. Calculate i. -3738 Factor -x**4/7 + 9*x**3/7 - 4*x**2 + 36*x/7 - 16/7. -(x - 4)*(x - 2)**2*(x - 1)/7 Let 5*g**2 - 185*g + 180 = 0. Calculate g. 1, 36 Factor 4*k**4 + 136*k**3 - 748*k**2 + 1232*k - 624. 4*(k - 2)**2*(k - 1)*(k + 39) Find x such that 3*x**2 + 285*x + 558 = 0. -93, -2 Factor -2*i**4/3 - 50*i**3 - 912*i**2 + 2888*i/3. -2*i*(i - 1)*(i + 38)**2/3 Factor j**4/2 + 7*j**3/2 + j**2 - 20*j. j*(j - 2)*(j + 4)*(j + 5)/2 Let k**5/5 - 13*k**4/5 + 32*k**3/5 - 4*k**2 = 0. Calculate k. 0, 1, 2, 10 Solve j**5/8 - 87*j**4/4 + 43*j**3/2 + 87*j**2/4 - 173*j/8 = 0 for j. -1, 0, 1, 173 Let -5*v**4 + 115*v**3 - 800*v**2 + 1500*v = 0. Calculate v. 0, 3, 10 Factor w**4 + 19*w**3/4 - 57*w**2/4 + 41*w/4 - 7/4. (w - 1)**2*(w + 7)*(4*w - 1)/4 Factor 4*n**4 + 18*n**3 + 8*n**2. 2*n**2*(n + 4)*(2*n + 1) Determine y so that -y**2/4 - 452*y - 204304 = 0. -904 Determine f so that 2*f**4/7 - 4*f**3/7 - 30*f**2/7 + 64*f/7 - 32/7 = 0. -4, 1, 4 Solve 4*r**4/7 + 40*r**3/7 + 80*r**2/7 - 40*r/7 - 12 = 0 for r. -7, -3, -1, 1 Determine c, given that -2*c**4 + 30*c**3 - 28*c**2 = 0. 0, 1, 14 Factor 2*t**2/5 - 2/5. 2*(t - 1)*(t + 1)/5 What is y in -867*y**4 + 12546*y**3 - 17031*y**2 + 5976*y - 624 = 0? 4/17, 1, 13 Determine f, given that -f**3/5 + 19*f**2/5 + 66*f/5 = 0. -3, 0, 22 Suppose 2*n**5/9 + 8*n**4/9 - 8*n**3/3 = 0. What is n? -6, 0, 2 Find j such that 3*j**3 + 48*j**2 + 165*j - 216 = 0. -9, -8, 1 Factor -10*m**2/11 + 46*m/11 + 20/11. -2*(m - 5)*(5*m + 2)/11 Find x such that -64*x**2 - 500*x + 96 = 0. -8, 3/16 Solve s**4/3 + 7*s**3 - 24*s**2 = 0. -24, 0, 3 Factor v**2/6 + v + 4/3. (v + 2)*(v + 4)/6 Suppose 2*x**5 + 16*x**4 + 44*x**3 + 48*x**2 + 18*x = 0. Calculate x. -3, -1, 0 Find z such that -2*z**2 - 224*z - 222 = 0. -111, -1 Solve -2*z**3 - 1030*z**2/3 - 14326*z + 35322 = 0 for z. -87, 7/3 Factor -2*d**3 + 14*d - 12. -2*(d - 2)*(d - 1)*(d + 3) Factor -q**3 + 63*q**2 - 650*q. -q*(q - 50)*(q - 13) Solve 2*w**5/7 - 32*w**4/7 + 114*w**3/7 - 4*w**2/7 - 488*w/7 + 528/7 = 0. -2, 2, 3, 11 Determine z so that -4*z**5 + 61*z**4 - 339*z**3 + 837*z**2 - 837*z + 162 = 0. 1/4, 3, 6 Let u**4/7 + 30*u**3/7 + 225*u**2/7 = 0. What is u? -15, 0 Let 3*m**2 + 96*m - 99 = 0. Calculate m. -33, 1 Let -2*y**2 - 2*y + 4 = 0. Calculate y. -2, 1 Solve -x**5 + 8*x**4 - 15*x**3 - 4*x**2 + 20*x = 0. -1, 0, 2, 5 Solve -r**2/5 - 2*r + 11/5 = 0. -11, 1 Let -3*l**2/7 + 141*l/7 + 42 = 0. Calculate l. -2, 49
Suppose 2*k + 4*t + 4 = 0, 0 = 2*k - 0*k - 2*t - 2. Let d(c) = c + 1. Let v be d(3). Suppose v*p + p - 190 = k. Does 19 divide p? True Suppose 935 = 10*x - 1105. Is x a multiple of 15? False Does 24 divide -292*(2 - -1)/(-6)? False Let w = -102 + 72. Let s = 2 - w. Is 19 a factor of s? False Let a(i) = i - 2. Suppose t + 2*v = -3 + 5, -4*v = -3*t + 16. Let n be a(t). Let b = n + 18. Is b a multiple of 10? True Let l(h) = 4*h**3 + 4*h + 3. Let k be l(-2). Let c = k + 53. Is 16 a factor of c? True Suppose 3*o - 2*u + 48 = 0, -2*o = 5*u - 8*u + 27. Is 11 a factor of 2/(1 + 15/o)? False Let v be -1 - (-3)/(-1 + 4). Suppose 0*f - 3*u + 13 = 4*f, -3*f + 2*u + 31 = v. Is f a multiple of 7? True Let u(w) be the first derivative of w**2/2 - w + 3. Does 3 divide u(6)? False Suppose 2*r = -2*r + 8. Let x = r - -23. Is 18 a factor of x? False Let y(r) = -3*r - 6. Let h(t) = -3*t - 7. Let b(c) = 7*h(c) - 6*y(c). Is 18 a factor of b(-12)? False Let i = 48 - 14. Is i a multiple of 17? True Let b be (-1)/(-6) - (-9)/(-54). Suppose b*s + 15 = 5*s. Is 2 a factor of s? False Let t = -31 + 63. Suppose 3*g - 1 - t = 0. Is 11 a factor of g? True Let a = -23 + 0. Let i = 37 + a. Does 14 divide i? True Suppose 5*w = d + 2*w - 24, 0 = 3*w + 15. Let m = 13 - d. Suppose 60 = 5*i - 3*p, 10 - 60 = -m*i + 2*p. Is i a multiple of 9? False Let m(q) = -q**3 - 8*q**2 + 2*q + 30. Does 7 divide m(-8)? True Suppose 4*k - 3*d - 76 - 131 = 0, -158 = -3*k + 5*d. Let y = k + -19. Is y a multiple of 8? True Let y(a) = 7*a + 1 + 1 - a**2 + a**3 - 5*a**2. Is y(5) a multiple of 12? True Let f be 54 + (1 - 4) - -1. Suppose 0 = -3*j - j + f. Is j a multiple of 13? True Let l be (-7)/(-35) + 32/(-10). Let r be l + 1/(2/6). Suppose r = -u - 6 + 27. Is u a multiple of 8? False Let x = 4 - -1. Suppose 0*k = -3*k + t + 37, -3*k + x*t = -41. Suppose z = -2*z + k. Is 4 a factor of z? True Suppose 4*r - 25 = -4*a - 9, -a = 4*r - 4. Suppose 0 = a*d - 12, 78 = 4*t - 2*d - 0*d. Is t a multiple of 8? False Suppose j = -0*j + 5. Suppose -12 - 8 = -j*u. Is u a multiple of 4? True Let u(o) = 1. Let r(g) = -g - 4. Let d be (-3 - -2) + 3 + -8. Let b(z) = d*u(z) - 2*r(z). Is 9 a factor of b(8)? True Does 21 divide (-198)/(-3) + (5 - 8)? True Suppose -2 = 5*h - 7. Does 12 divide 3 + h*-4 - -13? True Suppose 2*s = 8, 2*b + 4*s = b + 208. Is 15 a factor of b? False Let o be (-44)/(4/(-78)*3). Let q = o + -176. Is q/7 + 2/7 a multiple of 8? True Let s be 2/(-9) + 10/45. Let r = 0 + s. Does 14 divide -15*(0 - (1 + r))? False Let t(k) = -3*k - 1. Let n(l) = 2*l. Let m(h) = -4*n(h) - 3*t(h). Is 2 a factor of m(7)? True Let r(b) = b**2 + b + 3. Is r(0) even? False Let f = 28 - 9. Let j(q) = -q**2 + 4*q + 9. Let m be j(7). Let b = m + f. Does 3 divide b? False Suppose -2*p = f - 95, -f = 4*p - 45 - 140. Is p a multiple of 15? True Suppose 0*l = -3*l + 81. Let k = -13 + l. Is k a multiple of 7? True Suppose -128 = -y - 3*y. Suppose 128 - y = 3*d. Is d a multiple of 17? False Let m = -24 - -35. Suppose -3*u = 5*p - 5*u - m, -p = -u - 1. Let k(q) = q**3 + 3*q**2 - 3*q - 4. Does 14 divide k(p)? False Let h(j) = -61*j**3 - 2*j**2 + 1. Is h(-1) a multiple of 20? True Let c(k) = 2*k**2 + 7*k + 26. Does 23 divide c(-8)? False Let j(k) = 4*k**2 - 4*k + 2. Is 5 a factor of j(2)? True Let v(u) be the third derivative of u**4/8 - u**3/2 - 2*u**2. Let x = -1 + 4. Is v(x) a multiple of 6? True Is 12 a factor of (9*2/12)/(6/512)? False Suppose 0 = -2*b + 31 + 93. Is b a multiple of 31? True Suppose 4*d + 5*j - 216 = 148, 2*d = 5*j + 212. Is 8 a factor of d? True Let q(m) = m + 9. Let y be q(9). Suppose 4*u - y = u. Does 18 divide (-54)/(-3 - u/(-4))? True Suppose 52 = -4*m - 2*k - 2*k, -17 = m + 5*k. Let h = m - -29. Does 17 divide h? True Suppose y = 4 + 26. Let q(j) = 43*j**2 - 1. Let w be q(-1). Let d = w - y. Is 8 a factor of d? False Let d be (-4 - -25)*5/(-3). Let u = 3 - d. Suppose -2*b - 89 = -5*z, 4*z - 3*b - 29 - u = 0. Does 19 divide z? True Let g be 20/6 + (-4)/(-6). Suppose g*v - 14 = 14. Is 4 a factor of v + (-2 - 2) + 2? False Let u = 19 - 13. Suppose -5*l - 4*a + 7*a + 96 = 0, -5*a - u = -l. Is l a multiple of 7? True Suppose 4*x - 12 = -0*x. Suppose -3*o - x*c = -96, -3*o + c + 66 = -2*c. Is o a multiple of 12? False Suppose 2*l - 39 = -l. Let j = -45 + l. Let w = -16 - j. Is w a multiple of 8? True Suppose 0 = 5*z - 5, 4*z = u - 6*u + 99. Is u a multiple of 11? False Let w = 11 - 9. Suppose c + s + 2*s = 18, w*c - s - 36 = 0. Does 6 divide c? True Let d = 1 + 43. Is 20 a factor of d? False Let n(m) = -m**3 - 12*m**2 + 13*m + 8. Let p be n(-13). Suppose -p - 38 = -2*u. Is u a multiple of 11? False Is 31 a factor of -237*11/(-21) - 2/14? True Suppose 0 = -3*w - 2*w - 2*k + 2, -2*k - 6 = w. Let z = 24 - w. Does 8 divide z? False Suppose -4*m = -9*m + 450. Does 30 divide m? True Let m be (-30)/(-4)*(-20)/(-15). Let g = 15 - m. Suppose 18 = g*x - 2. Does 2 divide x? True Let c(p) = p**3 + 5*p**2 + 2*p - 5. Let i be c(-4). Is i/(-6)*-2*15 a multiple of 4? False Let k(q) = q - 10. Let x be k(8). Is 9 a factor of 272/10 + x/10? True Suppose 0 = 3*j + 4*d - 72, -3*j + 42 + 30 = -4*d. Does 6 divide j? True Let b(d) = -d**3 + 7*d**2 + 12*d - 2. Is b(8) a multiple of 10? True Let q(l) = 8*l**2 - 2*l - 2. Does 19 divide q(-3)? True Suppose 2*n + 2*v - 7 = 3, 8 = 2*v. Let m(o) = 3*o**2 - 5*o + n - 2*o**2 + 1 + 3*o**2. Is 23 a factor of m(4)? True Suppose 0 = -i - 3*s + 907, 4*s = -2*i + 2251 - 435. Does 15 divide 1/2 - i/(-20)? False Suppose 3*w = 2*w - 5*f + 94, -2*f = -10. Let t = w + -41. Does 6 divide t? False Let l(b) = b**3 - 8*b**2 - 9*b + 2. Let z be l(9). Let r be z - -9 - (-2 - 0). Let p = 27 - r. Is 7 a factor of p? True Let b = -161 + 237. Is b a multiple of 15? False Suppose 3*k - 18 = -0*k. Suppose -3*c - 8 = 1. Is 23 a factor of 184/(-2)*c/k? True Let g(x) = -x**2 + 12*x + 15. Let q be g(13). Suppose -2*k = -3*o - 0*k - 4, 0 = -o + q*k - 8. Is o even? True Let u(m) = m**3 + m**2 - 3*m. Is 17 a factor of u(4)? True Let s = -68 + 90. Is s a multiple of 22? True Let h(d) = -d**3 + 8*d**2 + 3*d + 1. Does 11 divide h(4)? True Let b(g) = 23*g - 2. Is 9 a factor of b(4)? True Is (-1029)/(-12) + 27/(-36) a multiple of 13? False Let d = -40 - -96. Does 8 divide d? True Let s(g) be the second derivative of -g**6/360 - g**5/20 - g**4/4 + 2*g**3/3 + 4*g. Let o(y) be the second derivative of s(y). Is 2 a factor of o(-4)? True Suppose 0 = 2*y - 86 + 24. Let r = -13 + y. Is 5 a factor of r? False Suppose -12*u + 292 = -8*u. Is u a multiple of 24? False Let v = -17 + 32. Suppose -2*g - c = 46 - 211, -3*c = v. Does 22 divide g? False Suppose -11*a - 441 + 1541 = 0. Is 20 a factor of a? True Let o = -7 - -13. Let x(h) = h + 7. Let m be x(-5). Suppose 4*p + 4*w = 48, -4*w = -4*p + m + o. Does 5 divide p? False Let o be (-4 + 3)*-3 - -1. Suppose -14 - 26 = -o*f. Is f a multiple of 10? True Suppose -18*y - 44 = -19*y. Does 4 divide y? True Suppose -5*k + 4*z = 102, 0 = -0*k - 4*k + 3*z - 81. Let h = k - -30. Is h a multiple of 6? True Does 14 divide (-1 - 20)/(-3)*4? True Suppose 8*d - 3*d = 0. Suppose d*n - n - 16 = 0. Let o = -7 - n. Does 8 divide o? False Suppose 62 = 5*c + 3*x, 5*x + 8 + 10 = c. Is 13 a factor of c? True Let j be 55*3 - (-1 + 1). Suppose 5*m + 5*z + j = 0, -z = 1 + 3. Let b = m - -47. Does 8 divide b? False Let b(o) = 112*o**2 - o + 1. Is b(1) a multiple of 14? True Let z(b) = b + 4. Let l be z(-4). Let t be l*((-3)/(-6))/1. Suppose 2*h + 2*h - 20 = t. Is h a multiple of 5? True Suppose 3*i = -i + 276. Let g = i - 49. Is g a multiple of 12? False Let y = 6 - 6. Suppose y = -z - z + 56. Does 15 divide z? False Let k(o) = o**3 - 4*o**2 - 6*o + 5. Let n be k(5). Let p = 36 + n. Is p a multiple of 18? True Suppose 2*h + 3*h - 4*q + 39 = 0, -4*h = 5*q + 64. Let j = -8 - h. Suppose 0 = -3*n + j*i - 0*i + 114, -4*i = -2*n + 86. Is 17 a factor of n? False Suppose -4*f + 3*m + 60 = -m, 2*f - 5*m = 27. Suppose 0 = x - 5*x - f, -2*t - 22 = x. Let y(v) = -v - 4. Is 2 a factor of y(t)? False Let p = -56 + 145. Is p a multiple of 24? False Suppose -m = x - 38 - 11, -4*x = -3*m - 189. Let g = x - 26. Does 11 divide g? True Suppose -3*t + t + 2*g - 62 = 0, 3*t + 92 = 4*g. Let i = 49 + t. Is 6 a factor of i? False Suppose -5*g + 3*g + 148 = 0. Does 15 divide g? False Let g = 85 - 10. Is 28 a factor of g? False Suppose -2*g = g. Let u = g - -3. Does 3 divide u? True Suppose a - 16 = 4*z + 2*a, a = 0. Let y(o) = -o**3 - 2*o**2 + 5*o + 4. Let c be y(z). Does 8 divide 1*c*(-2)/(-4)? True
Let y = 1624750458.99999926 - 1624750477. Let i = y + 18. Round i to 7 dps. -0.0000007 Let q = 1.2 + 3.8. Let w = 766.850064 + -771.85. Let x = w + q. Round x to five decimal places. 0.00006 Let g = -0.64 - -25.64. Let c = -23.66 + g. Let f = -1.457 + c. Round f to two decimal places. -0.12 Let k(x) = -x**2 + x - 1. Let w(g) = -7800000*g**2 + 2*g - 3. Let t(q) = -k(q) + w(q). Let p be t(-2). Round p to the nearest 1000000. -31000000 Let h be (128/(-3))/(2/90000). Round h to the nearest 100000. -1900000 Let p = 0.273 + -0.31. Let f = p - 3.663. Round f to 0 dps. -4 Let v = -111 + -119. Round v to the nearest 100. -200 Let d be 4/6 + (-31840)/6. Let y = d - 98. Let c be y/(-18) - (-8)/(-36). Round c to the nearest one thousand. 0 Let m(q) = -523*q - 8. Let v be m(4). Round v to the nearest one thousand. -2000 Suppose -3*w = -4*w - 5753. Let p = -12453 - w. Round p to the nearest 1000. -7000 Let t = 0.537 - -41.123. Let c = 42 - t. Let z = 0.61 + c. What is z rounded to 1 decimal place? 1 Let n = 2491909 + -2491898.20071. Let d = 10.8 - n. What is d rounded to four dps? 0.0007 Let b = -0.3 - -11.3. Let f = 11.00000008 - b. What is f rounded to seven decimal places? 0.0000001 Let k(h) = h**3 + h**2 - 1. Let m be k(-1). Let j = m - -1. Suppose 2*p + 2*p - 24400000 = j. Round p to the nearest one million. 6000000 Suppose -5*d + 3*v = -v - 193000000, d - 5*v = 38600000. Round d to the nearest 1000000. 39000000 Let d = -0.02 + -0.25. Let v = d + -0.03. Let j = -0.2999952 - v. What is j rounded to 6 dps? 0.000005 Let g(d) = -87779*d**2 + 3*d + 2. Let r be g(3). What is r rounded to the nearest 100000? -800000 Let o = 44 - 44.0000027. What is o rounded to 6 decimal places? -0.000003 Let l = 54.65 + 1.05. Round l to the nearest 10. 60 Let r = 539 - 359. Round r to the nearest one hundred. 200 Let k = 1.13 - 1.136. Round k to 2 decimal places. -0.01 Let q = 243 - 1143. Round q to the nearest one thousand. -1000 Let g = 888.333033 + -887.583. Let n = -0.75 + g. Round n to five decimal places. 0.00003 Suppose k = 530 + 20. Round k to the nearest one thousand. 1000 Let z = -145.4 + 131. What is z rounded to zero decimal places? -14 Let t = 9 + -3. Let r = 238754.99876 - 238761. Let d = r + t. What is d rounded to 4 dps? -0.0012 Let b be 3/36*4*0. Suppose 0 = u - b*u + 350000. What is u rounded to the nearest 100000? -400000 Suppose 5*h - 5515427 = -1900427. What is h rounded to the nearest 10000? 720000 Let m = -6.2 - -6.19716. Round m to 4 dps. -0.0028 Let s = -0.64 + -0.33. Let m = s - -1. Let t = m - 0.02946. What is t rounded to four decimal places? 0.0005 Suppose 0*p + 1252 = 4*p. Suppose 4*k = p + 2327. Round k to the nearest 100. 700 Let b(g) = g - 2. Let n be b(-8). Let m be n/(-4)*(-24)/(-20). Suppose -11 = -m*l + 4, 11790 = -2*z - 2*l. Round z to the nearest 1000. -6000 Let j = 0.2179 - 0.19. Round j to three dps. 0.028 Suppose 2*f - 4*o - 589 = o, 4*f - 2*o - 1186 = 0. Suppose 41 = 4*n + f. What is n rounded to the nearest 10? -60 Let b = 296 + -257.3. Round b to the nearest ten. 40 Let v = -0.0860039 + 0.086. What is v rounded to 6 dps? -0.000004 Let s = 1570 - 1561.955. Let r = 8 - s. What is r rounded to two decimal places? -0.05 Let n = -6 + 14. Let k = 12 - n. Let a = k - 3.999. Round a to two decimal places. 0 Let h = -1653 - -2353. Suppose -k = -6*k + h. What is k rounded to the nearest 100? 100 Let i = 1801 + -1801.1746. Let v = i - 6.9554. Let s = v - -6.8. Round s to 1 dp. -0.3 Let l = -13409.5 + 119564.5. Let q = 106154.952937 - l. Let j = 0.047 + q. Round j to 5 decimal places. -0.00006 Let g be (-10)/(-45) - 56699998/(-9). Round g to the nearest one million. 6000000 Let j = 5 + 2. Let p(d) = d**2 - 7*d + 5. Let w be p(j). Suppose 1537 + 1113 = -w*l. What is l rounded to the nearest 100? -500 Let x = 12 + -11.77. Let v = -0.16 + x. What is v rounded to one decimal place? 0.1 Let k(c) = -c - 3. Let u = -25 + 13. Let l be k(u). Round l to the nearest 10. 10 Let z be ((-2)/3)/(2/(-12)). Suppose 5*l + z*b - 26057 + 2049 = 0, 2*l = -b + 9602. Round l to the nearest 1000. 5000 Let y = -235 - -234.999999867. Round y to 7 decimal places. -0.0000001 Let r = 1.84540824 - -0.15459516. Let a = 2 - r. What is a rounded to 6 decimal places? -0.000003 Let a = 100 + -99.959. Let w = -0.135 - -0.1698. Let b = a - w. Round b to three decimal places. 0.006 Let y = 540 - 511.1. Round y to 0 dps. 29 Let n(y) = -3*y + y**2 + 294511*y**3 - 1 + 2*y - 46303*y**3 + 951793*y**3. Let g be n(-1). Round g to the nearest 1000000. -1000000 Let h = -3.92 + -0.08. Let l = 4.1 + h. Let y = l - 4.6. Round y to the nearest integer. -5 Let d = -0.09 + 0.090019. Round d to 6 decimal places. 0.000019 Let v = -105 + 104.99999967. What is v rounded to 6 dps? 0 Let z = -73.999922 - -74. What is z rounded to 5 dps? 0.00008 Let x be 0 - 0 - (-4)/1. Suppose r - 2705 = -k, 0*r - 10805 = -x*r - k. Round r to the nearest 1000. 3000 Let p(k) = k**3 + 7*k**2 - 2*k - 6. Let w be p(-7). Suppose -r - w = -3*r. Suppose 0 = r*o - 0*o. Round o to two dps. 0 Let r = 212.8805552 + 0.0304448. Let y = r - 213. What is y rounded to two decimal places? -0.09 Let k = -3.91 - -3.88386. Let y = 0.027 + k. Round y to four dps. 0.0009 Let j = -6 + 6. Suppose j = q - 2*q + 24. Let l be (-2)/10 + q/(-5). Round l to the nearest integer. -5 Suppose -3*m + m + 14000000 = 0. Suppose 0*b = 2*b + m. Round b to the nearest 1000000. -4000000 Let g = 0.3 - -1.7. Let p = g - 1.8. Let h = 0.05 - p. What is h rounded to one dp? -0.2 Let j = -57.999965 + 58. Round j to five dps. 0.00004 Let d = -3 + 5. Let n be (-1 - d)/(2/1926). Let u = n - 32111. What is u rounded to the nearest ten thousand? -40000 Let q = 3892 + -59. Let c = -1400 - -2333. Suppose 2*k + q = c. What is k rounded to the nearest one hundred? -1500 Let q = 1 + -10. Let j = -5 - q. Let i = j - 4.01. Round i to 1 dp. 0 Let h = 117 - 115.79. What is h rounded to one decimal place? 1.2 Let v = 5 - 3. Suppose -y + 0 = -v. Suppose -6*f = -y*f - 460000. What is f rounded to the nearest 10000? 120000 Let y = -4631 + 6712. Let n = y - 1481. Round n to the nearest 100. 600 Let n = -0.34 - -0.16. Let k = -0.180022 - n. What is k rounded to 5 dps? -0.00002 Let f = -0.1211 + -242.1289. Let s = -100.58 - f. Let u = s - 141. Round u to 1 dp. 0.7 Let f = -41.0000026 - -41. Round f to 6 dps. -0.000003 Let b = -81.5 - -105. Round b to 0 decimal places. 24 Let v(h) = h**3 - 14*h**2 + 7*h - 9. Let w be v(14). Round w to the nearest 10. 90 Let y = -0.094 + 0.09556. Round y to four decimal places. 0.0016 Let v = -0.039 - -0.038913. What is v rounded to 5 dps? -0.00009 Let p(v) = -5 + 5*v**2 - v**2 + 2*v**3 - 3*v**3 + 8*v. Let n be p(5). Let y be (-279999)/(-5) - (-2)/n. What is y rounded to the nearest ten thousand? 60000 Let u = -5 - -7. Let w be 321/21 - u/7. Suppose 3*v - w = 4*v. Round v to the nearest ten. -20 Let f = 2.16 - 2.1378. Round f to 3 decimal places. 0.022 Suppose -152 = -3*r - 2*i, -4*r + i + 310 = 111. Suppose -r = l + l. What is l rounded to the nearest ten? -30 Let n = -7504788.99999968 + 7504793. Let i = 4 - n. What is i rounded to seven decimal places? -0.0000003 Let r = -503 + 502.9999398. What is r rounded to five decimal places? -0.00006 Suppose 0 = -0*m - 2*m + 10. Let x(y) = 12*y**2 - 3*y - 4. Let u be x(m). Suppose -2*t = -t + f - 92, -3*t + 2*f + u = 0. Round t to the nearest 10. 90 Let y(h) = -12*h - 1. Let f be y(-8). Let u be (f/(-1))/(3/(-120000)). Round u to the nearest 1000000. 4000000 Let r(z) = 17*z**3 + 10*z**2 - 11*z - 4. Let y be r(9). Round y to the nearest one thousand. 13000 Let m = -4.1 - -6. Round m to zero dps. 2 Let i = 279036883.000107 - 279037097. Let z = i + 214. What is z rounded to five decimal places? 0.00011 Suppose -9*x + 78000 = -6*x. Round x to the nearest 10000. 30000 Let x = 0.3 - -0.1. Let l = x - 0.2. Let b = l + -0.2000048. What is b rounded to 6 decimal places? -0.000005 Let j = 4.6 - 4.60184. What is j rounded to three dps? -0.002 Let f be (-5)/(10/4) + 920000 + 2. What is f rounded to the nearest one million? 1000000 Let b = 20 - 19.8. Let o = b - 0.2000001. Round o to seven dps. -0.0000001 Let i = 141.9999949 + -142. Round i to seven decimal places. -0.0000051 Suppose 2*v - 5*v = -204. Suppose -4*j + 116 = 3*m, m = -m - j + 79. Let z = v - m. Round z to the nearest 10. 30 Let x = 39049.94572 + -39031.95150363. Let n = 0.79420647 - x. Let o = -17.2 - n. Round o to six dps. 0.00001 Let f = 16 - 8. Let s = -56755135.9999997 + 56755128. Let y = s + f. Round y to 7 dps. 0.0000003
Let k be (-14)/12 + 22951/11670. Let p be (2 - -2)*3/4. Factor k*u - 8/5*u**p - 14/5*u**2 + 0. -2*u*(u + 2)*(4*u - 1)/5 Let q = -10307 - -10310. Factor 0*d + 0 - 3/2*d**4 + 0*d**q + 3/2*d**2. -3*d**2*(d - 1)*(d + 1)/2 Let o(g) be the second derivative of g**7/8820 - g**4/2 + 10*g. Let i(l) be the third derivative of o(l). Factor i(r). 2*r**2/7 Let s(d) be the second derivative of d**4/3 - 2*d**3 - 12*d**2 + 9*d. Let u(p) = -p**2 + 1. Let t(f) = 2*s(f) + 12*u(f). Solve t(m) = 0 for m. -3 Let t(x) = 8*x**2 - 7*x + 4*x**2 + 1 - 19*x**2 + 11*x**2. Let k be t(2). Suppose 10*s - 5*s**k + 20*s**2 + 10*s**3 - 5*s**2 = 0. What is s? -2, -1, 0 Factor -1878/11*f**2 - 1056 - 6/11*f**4 - 720*f - 180/11*f**3. -6*(f + 4)**2*(f + 11)**2/11 Suppose -26 = -2*z - 3*a - 3, -a + 1 = 0. Let f = -7 - -10. Find i, given that z*i**4 - 2*i**4 - 29*i**4 - 6*i**2 - 6*i - 3*i**2 + 36*i**f = 0. -2/7, 0, 1 Let o(h) = -h**3 + 9*h**2 + 88*h - 10. Let p be o(-6). Factor 0*k + 0 + 0*k**3 + 1/2*k**4 + 0*k**p. k**4/2 Let p = 20830394/345 - 60378. Let l = p + 10526/3795. Find d, given that -14/11*d**2 - 18/11*d**4 + 0 + l*d**3 + 2/11*d = 0. 0, 1/3, 1 Suppose -5*b = -a - 85, 2*b - 5*a - 7 = -10*a. Solve 63*g - 22*g**2 - 37*g - 12*g**4 - 42*g - 6*g**2 + 40*g**3 + b = 0 for g. -2/3, 1, 2 Let k(l) be the second derivative of -l**6/165 - 2*l**5/55 - 5*l**4/66 - 2*l**3/33 - 61*l. Suppose k(x) = 0. What is x? -2, -1, 0 Let t(j) = -j**4 - j**3 + 7*j**2. Let c(k) = -15*k**3 - 54*k**2. Let u(x) = c(x) + 9*t(x). Let u(z) = 0. Calculate z. -3, 0, 1/3 Let p(a) be the second derivative of a**5/4 - 55*a**4/4 + 605*a**3/2 - 6655*a**2/2 - a + 2. Factor p(o). 5*(o - 11)**3 Let u(a) be the first derivative of 18*a**5/55 - 15*a**4/22 - 16*a**3/33 + 4*a**2/11 - 42. Find k such that u(k) = 0. -2/3, 0, 1/3, 2 Let d(b) be the third derivative of -b**5/135 - 2*b**4/9 - 40*b**3/27 + 517*b**2. Factor d(l). -4*(l + 2)*(l + 10)/9 Factor 1/5*j**2 - 2/5 - 1/5*j. (j - 2)*(j + 1)/5 Let g = -326 - -329. Let l = -9 - -11. Determine u, given that 0 + 0*u + 2/11*u**l - 2/11*u**g = 0. 0, 1 Let j be 12/(-30)*550/(-176). Factor -4 + 10*z + 1/4*z**5 - 25/4*z**2 + 5/4*z**4 - j*z**3. (z - 1)**3*(z + 4)**2/4 Let 2/13*f**2 - 8/13*f - 8/13 + 2/13*f**3 = 0. What is f? -2, -1, 2 Let k(v) be the third derivative of 3*v**5/100 + 7*v**4/30 + v**3/10 - 16*v**2 + 4*v. Factor k(n). (n + 3)*(9*n + 1)/5 Suppose 0 = -8*v + 9*v - 4. Solve -v*s**4 - 59 + 16*s**2 + 61 + 9*s + 15*s**3 - s**3 + 10*s**4 + s**5 = 0 for s. -2, -1 Let k(u) = 8*u - 12. Let d be k(-4). Let p = d - -47. Find l, given that 1/3*l - 2/3*l**2 + 1/3 + 1/3*l**4 - 2/3*l**p + 1/3*l**5 = 0. -1, 1 Let g(f) be the third derivative of f**6/60 - 3*f**5/10 + 5*f**4/4 - 7*f**3/3 - 2*f**2 + 76*f. Factor g(u). 2*(u - 7)*(u - 1)**2 Factor -4/3*t**3 + 64/3*t**2 + 0 - 20*t. -4*t*(t - 15)*(t - 1)/3 Let b(r) be the second derivative of r**6/360 + 11*r**5/360 + r**4/12 - 7*r**3/3 + 11*r. Let y(g) be the second derivative of b(g). Factor y(k). (k + 3)*(3*k + 2)/3 Let g(v) be the first derivative of -5*v**4/4 + 10*v**3/3 + 195*v**2/2 + 360*v + 10. What is h in g(h) = 0? -3, 8 Let j(m) = -3*m**2 + 18*m - 35. Let y(h) = -5*h**2 + 26*h - 53. Let r(s) = 8*j(s) - 5*y(s). Factor r(z). (z - 1)*(z + 15) Let b be -4 + (11 - 3) + 2/2. Let a**4 + 28*a**b + 103*a**4 + 80*a**3 + 3*a - 3*a - 32*a**2 = 0. What is a? -2, 0, 2/7 Solve -337*c**2 - c**3 - 5*c - 15*c - 337*c**2 + 683*c**2 = 0 for c. 0, 4, 5 Let x(i) be the first derivative of -1/6*i**2 + 1/9*i**3 + 1/12*i**4 - 1/3*i + 24. Factor x(r). (r - 1)*(r + 1)**2/3 Let s(n) be the second derivative of -n**9/84 + n**8/28 - n**7/30 + n**6/90 + 3*n**3/2 + 14*n. Let w(z) be the second derivative of s(z). Factor w(c). -4*c**2*(c - 1)*(3*c - 1)**2 Let v(f) = 6*f**4 + 24*f**3 + 18*f**2 - 34*f - 24. Let p(z) = -2*z**4 - 8*z**3 - 6*z**2 + 11*z + 8. Let s(n) = -10*p(n) - 3*v(n). Factor s(i). 2*(i - 1)*(i + 1)*(i + 2)**2 Let n be 4/(252/317) - 20/10. Let h = n - 17/9. Let -4/7*o**2 + 2/7*o**3 - 2*o - h = 0. What is o? -1, 4 Let p(u) = -18*u - 33. Let o be p(-2). Factor 3/5*z**o + 1/5*z + 1/5*z**4 + 0 + 3/5*z**2. z*(z + 1)**3/5 Let v(x) be the second derivative of x**5/20 + 8*x**4/3 + 95*x**3/2 + 225*x**2 + 189*x. Find t, given that v(t) = 0. -15, -2 Let j be (-936)/(-14508) - 3958/(-155). Factor -482/5*d**2 + 2/5*d**5 - j + 416/5*d + 46*d**3 - 38/5*d**4. 2*(d - 8)**2*(d - 1)**3/5 Let m be (-33)/(-35) - (6/(-20) - (-10)/100). Solve -6*r**2 - 40/7*r - m = 0 for r. -2/3, -2/7 Let q = 115226/5 + -23044. Find f, given that 17/5*f**3 + 2/5 - 8/5*f**2 - f - q*f**4 = 0. -1/2, 1/3, 1, 2 Let x be 3 - 140/(-35) - (-52)/(-10). Find p, given that -x*p**2 - 2/5*p - 12/5*p**3 + 0 - 4/5*p**4 = 0. -2, -1/2, 0 Let j(k) be the second derivative of k**6/6 - 2*k**5 - 15*k**4/4 - 254*k. Factor j(m). 5*m**2*(m - 9)*(m + 1) Determine p so that 24*p**3 - 47*p - p**4 - 145*p**2 - 169 - 66*p - 95*p + 27*p**2 - 104*p = 0. -1, 13 Let l(o) be the third derivative of o**5/60 + 21*o**4/8 - 65*o**3/3 - 472*o**2. Factor l(v). (v - 2)*(v + 65) Let x(a) be the second derivative of a**5/40 + 3*a**4/16 + a**3/2 - 3*a**2/2 - 13*a. Let o(i) be the first derivative of x(i). Solve o(w) = 0 for w. -2, -1 Suppose 0 = d - z - 54, 3*z + 218 = 4*d - 0. Let l be (14/d)/((-6)/(-184)). Let -2/3*h + 0 + l*h**3 - 7*h**5 + 1/3*h**2 - 1/3*h**4 = 0. Calculate h. -1, -1/3, 0, 2/7, 1 Let h(w) = -4*w**2 - 14*w - 55. Let k(o) = 5*o**2 + 16*o + 54. Let u(j) = -6*h(j) - 5*k(j). Factor u(s). -(s - 10)*(s + 6) Factor -285/8*a + 9/2*a**2 - 1/8*a**3 - 361/4. -(a - 19)**2*(a + 2)/8 Factor 2352/5 + 3/5*a**2 - 168/5*a. 3*(a - 28)**2/5 Suppose -315*j**2 - 1364*j - j**4 + 111*j**3 - 11*j**4 + 1676*j - 60 = 0. What is j? 1/4, 2, 5 Suppose -109*w + 24 = -194. Solve -2/9*n - 28/9*n**w + 0 = 0 for n. -1/14, 0 Let i(n) be the second derivative of n**7/1260 - n**6/30 + 3*n**5/5 - 5*n**4/3 - 6*n. Let u(k) be the third derivative of i(k). Factor u(v). 2*(v - 6)**2 Let i(u) be the first derivative of 4*u**4 + 4*u + 8*u**2 + 4/5*u**5 + 5 + 8*u**3. Factor i(j). 4*(j + 1)**4 Let h be (30/8)/5*((-1232)/(-55))/7. What is w in 4/5*w - 24/5*w**2 + 33/5*w**3 - 1/5*w**4 - h*w**5 + 0 = 0? -2, 0, 1/4, 2/3, 1 Let c = 64129/4 + -15942. Let o = 91 - c. Determine i so that o*i**4 + 3/4*i**2 + 3/2*i**3 + 0*i + 0 = 0. -1, 0 Suppose 5*a = 3*a + 8. Solve -10*g**3 - 215*g**4 + 5*g + 225*g**4 - 20*g**2 + g**5 + 10 + a*g**5 = 0. -2, -1, 1 Let c(a) be the third derivative of -5*a**6/24 - 23*a**5/12 + 25*a**4/12 + 6*a**2 - 1. Factor c(v). -5*v*(v + 5)*(5*v - 2) Let f(g) be the first derivative of 6*g + 3/8*g**4 - 5 + 5/2*g**3 + 6*g**2. Solve f(k) = 0. -2, -1 Let y(t) = -2*t**2 + 13. Let r be y(0). Suppose -r + 33 = 4*u. Let 0*q**4 + 0 - 6/5*q**3 + 0*q - 4/5*q**2 + 2/5*q**u = 0. What is q? -1, 0, 2 Let r(j) be the second derivative of j**4/84 - j**3/2 - 23*j**2/7 + 400*j. Factor r(w). (w - 23)*(w + 2)/7 Suppose -v + 2*t = 26, -4*t - 8 = v - 0*t. Let n be (-6)/4*v/15. Determine g, given that -23*g**n + 4*g**3 + 39*g**2 + 20*g + 8 + 0*g**3 + 0*g**3 = 0. -2, -1 Let g(f) = -f**3 + 38*f**2 + 9*f - 340. Let y be g(38). Factor 8/5*d**2 - y*d**3 + 4/5*d**4 - 2/5*d + 0. 2*d*(d - 1)**2*(2*d - 1)/5 Let u(i) = -9 + 1 + 10*i**2 - 1 - 15*i - i**3 + 4. Let a be u(8). Let 105/4*b**2 - 3 - a*b = 0. Calculate b. -2/7, 2/5 Let u(f) be the first derivative of 3*f**4/8 - 17*f**3/3 + 21*f**2 + 36*f + 69. Suppose u(o) = 0. Calculate o. -2/3, 6 Let b(x) be the third derivative of 1/2*x**3 + 1/8*x**4 + 0 - 1/20*x**6 + 1/112*x**8 - 4*x**2 - 1/10*x**5 + 1/70*x**7 + 0*x. Factor b(l). 3*(l - 1)**2*(l + 1)**3 Let o(d) be the second derivative of -d**4/12 - 18*d**3 - 1458*d**2 - 115*d. What is k in o(k) = 0? -54 Suppose u + 1 = 0, 2 = f - 2*u + 3*u. Let -7 + 6*r**2 - 2*r**f - 9 + 16 = 0. What is r? 0, 3 Let h(g) be the first derivative of g**6/180 - g**4/3 - 10*g**3/3 - 8. Let u(w) be the third derivative of h(w). Suppose u(j) = 0. Calculate j. -2, 2 Let -109*k + 14*k**2 + 8*k + 16 + 73*k - 2*k**3 = 0. What is k? 1, 2, 4 Factor 48/7 - 4/7*w - 4/7*w**2. -4*(w - 3)*(w + 4)/7 Let r(z) = -3*z**4 + 17*z**3 - 18*z**2 - 4. Let c(l) = -7*l**4 + 37*l**3 - 36*l**2 - 10. Let w(p) = -2*c(p) + 5*r(p). Factor w(n). -n**2*(n - 9)*(n - 2) Let 0*x**2 - 3/4*x**3 + x + 0 + 1/4*x**4 = 0. What is x? -1, 0, 2 What is y in 11*y**3 - 32*y**5 + 12*y**4 - 14*y**2 - 2*y**3 - 12*y + 2*y**2 + 35*y**5 = 0? -2, -1, 0, 1 Let n(i) be the first derivative of -i**6/18 + i**5/15 + 5*i**4/12 + i**3/3 - 139. Solve n(p) = 0 for p. -1, 0, 3
What are the prime factors of 89540006? 2, 67, 668209 What are the prime factors of 3202310? 2, 5, 179, 1789 What are the prime factors of 354414943? 354414943 What are the prime factors of 70312119? 3, 17, 1378669 List the prime factors of 733116812. 2, 23, 7968661 List the prime factors of 366896782. 2, 7, 23, 41, 27791 List the prime factors of 50599299. 3, 19, 887707 List the prime factors of 194319243. 3, 131, 18313 What are the prime factors of 64191349? 64191349 What are the prime factors of 767463150? 2, 3, 5, 59, 86719 What are the prime factors of 713714229? 3, 89, 379, 2351 List the prime factors of 133235030. 2, 5, 19, 431, 1627 List the prime factors of 291668151. 3, 37, 1621 List the prime factors of 345140666. 2, 13, 13274641 What are the prime factors of 1954049722? 2, 31, 47, 61, 10993 List the prime factors of 620137952. 2, 7, 127, 21799 What are the prime factors of 37903727? 17, 19, 239, 491 List the prime factors of 364753591. 103, 3541297 What are the prime factors of 951076807? 31, 30679897 What are the prime factors of 382664283? 3, 2579, 49459 What are the prime factors of 6377218? 2, 3188609 What are the prime factors of 983074920? 2, 3, 5, 67, 122273 List the prime factors of 1234417975. 5, 7, 7053817 What are the prime factors of 26079914? 2, 7, 359, 5189 What are the prime factors of 1089882111? 3, 363294037 What are the prime factors of 908182956? 2, 3, 75681913 List the prime factors of 34724115. 3, 5, 17, 19, 2389 List the prime factors of 336462571. 37, 9093583 What are the prime factors of 3424877859? 3, 13, 23, 311, 12277 What are the prime factors of 8319307? 17, 23, 21277 What are the prime factors of 397623765? 3, 5, 7, 11, 344263 List the prime factors of 1997491. 29, 68879 List the prime factors of 41183086. 2, 7, 2941649 What are the prime factors of 45760144? 2, 29, 98621 What are the prime factors of 57092224? 2, 7, 63719 List the prime factors of 45642678. 2, 3, 67, 113539 What are the prime factors of 39035509? 73, 139, 3847 List the prime factors of 313912591. 313912591 What are the prime factors of 27309375? 3, 5, 971 List the prime factors of 431174465. 5, 29, 2973617 List the prime factors of 47580912. 2, 3, 83, 1327 List the prime factors of 3954161714. 2, 7829, 252533 What are the prime factors of 47483847? 3, 31, 56731 List the prime factors of 5363823849. 3, 2633, 679051 What are the prime factors of 2370620161? 7, 13, 26050771 What are the prime factors of 652752217? 13, 727, 69067 List the prime factors of 18623914. 2, 19, 490103 What are the prime factors of 178621514? 2, 89310757 What are the prime factors of 25873152? 2, 3, 59, 571 What are the prime factors of 1457146672? 2, 83, 239, 4591 What are the prime factors of 844634220? 2, 3, 5, 14077237 What are the prime factors of 63818879? 29, 2200651 What are the prime factors of 99867365? 5, 13, 499, 3079 List the prime factors of 12180509. 11, 1107319 List the prime factors of 1930791825. 3, 5, 61, 140677 What are the prime factors of 19898767? 7, 2842681 List the prime factors of 49276882. 2, 43, 79, 7253 List the prime factors of 120821373. 3, 499, 26903 What are the prime factors of 155046127? 263, 589529 List the prime factors of 433648206. 2, 3, 17, 43, 32957 What are the prime factors of 1439731346? 2, 19, 37, 1023991 What are the prime factors of 9304038? 2, 3, 172297 What are the prime factors of 621175174? 2, 41, 7575307 List the prime factors of 313905831. 3, 29, 1327, 2719 What are the prime factors of 1328400057? 3, 47, 9421277 What are the prime factors of 1001385668? 2, 7459, 33563 List the prime factors of 180354865. 5, 36070973 List the prime factors of 379161909. 3, 7, 61, 98663 List the prime factors of 3070207. 7, 438601 List the prime factors of 74363647. 74363647 What are the prime factors of 3541443353? 7, 457, 1107047 List the prime factors of 103719675. 3, 5, 53, 97, 269 List the prime factors of 65978550. 2, 3, 5, 11, 1481 List the prime factors of 1451873265. 3, 5, 96791551 What are the prime factors of 334696612? 2, 17, 41, 120049 What are the prime factors of 678631702? 2, 7, 19, 2551247 What are the prime factors of 19635564? 2, 3, 13, 191, 659 What are the prime factors of 502765251? 3, 19, 47, 187669 List the prime factors of 429390390. 2, 3, 5, 11, 13, 101, 991 List the prime factors of 205346857. 53, 3874469 List the prime factors of 284372101. 13, 709, 30853 List the prime factors of 11057649. 3, 3685883 What are the prime factors of 1277214503? 1277214503 What are the prime factors of 5859145499? 5859145499 List the prime factors of 1911437029. 31, 701, 87959 List the prime factors of 1987927928. 2, 7, 35498713 List the prime factors of 26314521. 3, 17, 227, 2273 List the prime factors of 1089782616. 2, 3, 13, 3492893 What are the prime factors of 120124088? 2, 7, 43777 List the prime factors of 129507847. 7, 18501121 What are the prime factors of 1362375788? 2, 107, 499, 6379 What are the prime factors of 329885435? 5, 11, 23, 79, 3301 What are the prime factors of 608863597? 229, 2658793 What are the prime factors of 334764594? 2, 3, 743, 25031 List the prime factors of 2859349035. 3, 5, 1489, 128021 What are the prime factors of 2303795031? 3, 257, 2988061 What are the prime factors of 259135872? 2, 3, 674833 What are the prime factors of 33871282? 2, 31, 659, 829 What are the prime factors of 18712387? 18712387 What are the prime factors of 3185850403? 19, 1307, 128291 What are the prime factors of 1628267632? 2, 61, 1668307 List the prime factors of 73664446. 2, 23, 73, 21937 What are the prime factors of 4673691396? 2, 3, 11, 67, 176153 List the prime factors of 414724927. 414724927 List the prime factors of 377566223. 53, 7123891 What are the prime factors of 79147072? 2, 463, 2671 What are the prime factors of 16167117? 3, 89, 151, 401 What are the prime factors of 96894963? 3, 11, 409, 2393 What are the prime factors of 24821929? 11, 2256539 List the prime factors of 370637014. 2, 11, 16847137 List the prime factors of 1272193945. 5, 11, 2311, 10009 What are the prime factors of 3605488276? 2, 13, 69336313 List the prime factors of 162583154. 2, 81291577 What are the prime factors of 179198517? 3, 59, 1012421 List the prime factors of 5537189154. 2, 3, 7, 41, 103, 31219 List the prime factors of 54203109. 3, 18067703 List the prime factors of 94572905. 5, 7, 2702083 What are the prime factors of 438683319? 3, 29, 1680779 What are the prime factors of 606347666? 2, 23, 53, 248707 List the prime factors of 162519890. 2, 5, 13, 47, 67, 397 What are the prime factors of 17454855? 3, 5, 11, 59, 163 List the prime factors of 1178686072. 2, 43, 3426413 What are the prime factors of 481291613? 11, 2203, 19861 List the prime factors of 2577831051. 3, 823, 1044079 List the prime factors of 45101409. 3, 29, 37, 14011 List the prime factors of 8387367078. 2, 3, 17, 82229089 List the prime factors of 5167066283. 19, 14313203 List the prime factors of 168032009. 168032009 List the prime factors of 425313981. 3, 181, 261089 What are the prime factors of 40809131? 11, 19, 195259 List the prime factors of 14805151. 14805151 What are the prime factors of 1403155166? 2, 7, 307, 326467 List the prime factors of 2125987458. 2, 3, 7, 50618749 What are the prime factors of 198227738? 2, 53, 83, 22531 What are the prime factors of 95461580? 2, 5, 97, 49207 What are the prime factors of 161764687? 7, 193, 119737 What are the prime factors of 424075954? 2, 2767, 76631 What are the prime factors of 1017354570? 2, 3, 5, 3067, 11057 What are the prime factors of 49467480? 2, 3, 5, 23, 17923 What are the prime factors of 210860593? 571, 369283 What are the prime factors of 148740179? 7, 21248597 What are the prime factors of 144174770? 2, 5, 317, 45481 List the prime factors of 41317139. 5479, 7541 What are the prime factors of 3045062164? 2, 761265541 What are the prime factors of 126318441? 3, 19, 2216113 List the prime factors of 175245511. 7, 31, 43, 2683 List the prime factors of 156400201. 156400201 List the prime factors of 69441925. 5, 7, 53, 7487 What are the prime factors of 166599733? 19, 8768407 List the prime factors of 14771929. 17, 868937 What are the prime factors of 2084419651? 2084419651 List the prime factors of 56431381. 17, 3319493 List the prime factors of 137279198. 2, 7, 47, 208631 List the prime factors of 418692756. 2, 3, 34891063 List the prime factors of 3610954366. 2, 1805477183 What are the prime factors of 2233776029? 2233776029 List the prime factors of 22098799. 22098799 What are the prime factors of 1258331913? 3, 139814657
Let p(i) = 12*i**2 + 1 - i**3 + 8 - 2 - 11*i. Let h be p(11). Suppose -h*v - 7 = -28. Which is the smallest value? (a) -2 (b) -0.5 (c) v (d) -3 d Let g = 199.17 + -199.22. What is the fifth biggest value in 0.9, g, 3, 3/7, -3/5? -3/5 Let j = 102.063 + -102. Let l = -0.253 + j. Let p = 1.09 + l. Which is the second biggest value? (a) -2/5 (b) p (c) -1/2 a Let j(i) = 6*i**3 + 2*i**2 - 4*i + 5. Let n be j(2). Let l be (0 + 0)/(51 - n). What is the third biggest value in 2/57, -1/2, l? -1/2 Let l = 0.628 + -1.328. What is the fourth smallest value in 5, 2/17, -3, -23, l? 2/17 Let z = -92 - -177. Let l = z + -85.5. Which is the fourth biggest value? (a) -18 (b) 0.5 (c) 0.2 (d) l a Let p(w) = -4*w + 26. Let d(f) = f**3 - f - 1. Let y be d(2). Let u be p(y). Suppose k - 7*k = -u. Which is the second biggest value? (a) 0.2 (b) 0.3 (c) k b Let d = -9.89 - -10. Let v = 7768 + -7771. What is the third biggest value in -1/6, d, 0.3, v? -1/6 Let v be (-184)/3588*13*2/(-6). What is the smallest value in -8, v, 2/77? -8 Let l = -30640 + 30649. Which is the fourth biggest value? (a) -0.3 (b) 0.8 (c) -2 (d) l c Let g = 12972 + -12952. What is the second smallest value in 0.5, -1, g, 0.3? 0.3 Let c(t) = -t**2 - 8*t - 1. Let r be (1/(-2))/((-249)/246 + 1). Let f = 33 - r. Let i be c(f). What is the second smallest value in -0.3, i, -2, -0.2? i Let x be (1/(-5))/(10 - 1547/175). Which is the third smallest value? (a) x (b) -1/2 (c) -8 a Let u = -5350 - -5331. What is the second biggest value in u, -7, 18? -7 Let p = -3.96696 + -0.03304. What is the second smallest value in p, -5, 2, -0.01? p Let y be 28/4 + (-324)/72 + 30/(-4). Which is the smallest value? (a) y (b) 8170 (c) 2 a Let h = -0.02 - 0.28. Suppose 87 = 5*f - x - 12, f = -x + 21. Let s be f/(-9)*24/64. What is the third biggest value in h, s, 2, 0.5? h Let m = 185.891 + -186. Let o = -3.9 - -4.052. Let u = m + o. What is the second smallest value in -1, u, -2? -1 Let i = 731/6 - 122. Let j = -7.2 - -7.6. What is the third biggest value in 1/4, i, 3, j? 1/4 Suppose 4*t + 4*s - s - 8 = 0, 2*s + 2 = t. Suppose -209 + t = 3*v. Let r = 62 + v. What is the second biggest value in 3, r, -5? -5 Let u be (5/45)/((-9)/(-27)). Suppose 5*b - o - 4 = 2*o, 0 = -2*b + 2*o. Let h be (-12)/(-5) - 0 - b. What is the fourth smallest value in 4, 2, h, u? 4 Suppose 9*j = -4*j + 65. Let v be ((-1)/(j + 0))/(21/35). What is the second biggest value in v, 2/11, 2.2? 2/11 Suppose 5*z - 2*p = 64, -6*z = -4*z + 5*p - 14. Let r = -4703 + 4706. Which is the second biggest value? (a) 0.3 (b) z (c) r (d) 4 d Let s be 476/(-126) - 4 - -8. What is the second smallest value in s, -0.03, -3, -2/11? -2/11 Let f = -215.9 - -216. What is the third smallest value in -0.5, 0.093, -2, f, 5? 0.093 Let i = -0.03 - 0.37. Let g be (-2 + 64/12)*6. Let o = -23 + g. What is the second smallest value in o, i, 0.21? i Let g = -0.29127 + -0.00873. Which is the biggest value? (a) -2/143 (b) g (c) 3/5 (d) -0.5 c Suppose -29 = 17*i + 73. Let l = 0.0406 + 1.9594. Which is the biggest value? (a) i (b) l (c) 4 (d) -0.05 c Let v be (4/(-21))/((-81)/945) + 2/(-9). Which is the third smallest value? (a) 24 (b) v (c) 8 a Let w = 6464 + -6864.7. Let i = -401 - w. Which is the fourth smallest value? (a) i (b) 1 (c) 2 (d) 3 d Let i be -5 - 1/(-3)*378/30. Let d = -13 - -15. Let o = d - 1.96. Which is the third biggest value? (a) o (b) -4 (c) i b Let l = -49 - -60. What is the fourth biggest value in -5/4, 1, l, -0.4? -5/4 Let i = 0.92 - 2.98. Let u = i + -0.34. Let v = 2 + u. What is the third biggest value in 3, 2, v? v Let p = 3.4032 - 0.4032. Which is the fourth biggest value? (a) 0 (b) -2/5 (c) -0.14 (d) p b Let z = 2.8188 + -2.7988. Which is the second biggest value? (a) z (b) 282 (c) -0.5 (d) -3/7 a Let r(a) = 4*a - 7. Suppose -8*m - 3*m = 0. Let s be r(m). Let j be 24/10 + -2 - s/20. What is the second smallest value in 0.2, -6, j? 0.2 Let w = -6.3 - -6. Let m = -4327/13107 - 14/4369. Which is the biggest value? (a) -2/5 (b) -1 (c) m (d) w d Let h = -59.843 + 55.843. Let t = 6951/22 - 316. Let l = t + 15/88. Which is the third smallest value? (a) h (b) l (c) -0.002 b Let q = 0.63 + 47.37. Let m = 5554.11 + -5506. Let p = m - q. Which is the biggest value? (a) p (b) 2/7 (c) -3 b Let n = 4075.123 - 4075. Which is the biggest value? (a) 0 (b) n (c) 0.4 c Let l = 95.796 + -102. Let h = -0.204 - l. What is the third smallest value in -3/2, -0.5, -0.2, h? -0.2 Let w = 0.02207 + 0.17793. What is the fifth smallest value in 3/4, -0.5, w, -7, -2/7? 3/4 Let h = -0.087 - 0.373. Let l = h - -0.76. Let x(n) = -n**3 + 4*n**2 + 4*n + 2. Let p be x(5). What is the fourth smallest value in -0.1, l, p, -5? l Let p = 5/21 - 19/21. Let k = -73 - -174. Let x = k - 100.6. Which is the biggest value? (a) p (b) 2/7 (c) -2/9 (d) x d Let u = -2.24 - -29.24. Let j be ((-6)/20)/((-36)/60). What is the third biggest value in 4, j, -0.3, u? j Let w be (-1 + -1)/(5/(4 + -14)). Suppose 0 = -w*n + 11*n + 133. What is the third smallest value in 0.2, 0.1, n? 0.2 Let x = 9 - 6. Let t = 103533/14 + -14791/2. What is the third biggest value in t, x, -0.005? t Let y be (-11)/(-55) - 14/45. What is the fifth smallest value in y, -3, 2, -1/4, -3/14? 2 Let y be (-6 - (-3913)/658)*(-1)/10. Let f = y - 193/940. Which is the third smallest value? (a) -0.4 (b) 0.4 (c) f (d) -1/13 d Let p = 9689 - 9689. Which is the second biggest value? (a) -9.73 (b) p (c) 7 b Let j = -7999 - -7974. What is the third smallest value in 0, j, -4.5, -1/2? -1/2 Let n = 2440244/19 - 128694. Let f = 260 + n. Let x(w) = w**2 - 10*w + 5. Let i be x(9). Which is the third biggest value? (a) 0.1 (b) f (c) -0.5 (d) i c Suppose 4*j = 384 + 364. Let o be ((-9385)/25 + 3)/(-2). Let d = o - j. Which is the third smallest value? (a) d (b) -1/4 (c) 3 c Let s = 3.26 - 3. Let d = s - 0.16. Let c = -0.1 - 2.9. What is the third biggest value in c, 2, d? c Let s = 109787 - 109785.7. Let z = -14/29 + -89/116. Which is the second smallest value? (a) 1/5 (b) s (c) z a Let w be (6/720)/((-1)/14). Let q = 43 - 643/15. Let g = q - w. What is the biggest value in -2/11, g, 4? 4 Let u = 267.6 - 268. Let x = -24 + 47/2. Which is the third smallest value? (a) -1.8 (b) x (c) 3 (d) u d Let p(d) = -d + 3. Let f be p(4). Let k = -199 - 80. Let o = 280 + k. What is the biggest value in f, 0.4, o? o Suppose 12*r + 11 - 143 = 0. Let w = r - 273/25. What is the third biggest value in -3, -1, w? -3 Let g = 45803/3 - 15267. What is the second smallest value in -4, g, -23, 3, -1? -4 Let i = 12 - 11. Suppose -3*h - 12 = 9. Let p be (6/h)/((-3)/42*16). Which is the second smallest value? (a) i (b) p (c) 0.4 (d) 3 b Let g = 0.1691 + 1.8309. What is the biggest value in g, 761, 1/12, -1/10? 761 Suppose 3*d = 3*h - 0*d - 249, 5*h - 409 = 3*d. Suppose -23*l - 11 = -h. What is the third biggest value in -1/3, l, 1/3? -1/3 Let g = -2/14287 - -28580/42861. What is the fifth smallest value in -1/4, 0, g, -1/33, 2/21? g Let s = 1/12 - -5/36. Which is the fourth biggest value? (a) -0.4 (b) s (c) 1/6 (d) -0.12 (e) 2 d Let o = 158.9914 + 0.0086. Let z = -161 + o. What is the biggest value in z, 75, 0, 5? 75 Let j = 3/91 - -36/91. Let h be ((-6)/((-18)/(-144)*16))/(-1). What is the fourth smallest value in h, -0.051, j, 4? 4 Let c = 6.864 - 6.564. What is the second smallest value in c, -0.5, -2/5, -0.6, -3? -0.6 Let u = -6.7 - -0.7. Let p = 6.5 + u. Let o = -464 + 464.04. Which is the second smallest value? (a) 1/4 (b) p (c) o a Let f = -216.5 - -216.2. Which is the second smallest value? (a) 1 (b) 3/28 (c) f b Let n = 1.92 - 12.12. Let q = -7.2 - n. Which is the third biggest value? (a) 67 (b) 2/3 (c) q b Let c = -11.97 + 9.97. What is the second biggest value in c, -5, 2/3, 305, 2? 2 Suppose 4*a + 15 = w, 61 - 21 = -3*a - 5*w. Let d(p) = p**3 + 2*p**2 - 1. Let k be d(-1). What is the smallest value in k, 5, a, 3? a Let z(f) be the first derivative of -5*f**3 + 13*f**2 - 30. Let n be z(1). Which is the biggest value? (a) n (b) 0 (c) -2/9 a Let h(n) = n**2 - 20*n + 8. Let f be h(20). Suppose -f*x - 15 + 39 = 0. Let q be 5/2 - (-15)/10. What is the second smallest value in -5, -3, x, q? -3 Let a(s) = 2*s**3 + 106*s**2 + s + 73. Let g be a(-53). Let w = 44 - 47. What is the fourth biggest value in w, -5, g, -2/5? -5
Put 1, -2, 15, -114, 5, -1, -4 in ascending order. -114, -4, -2, -1, 1, 5, 15 Sort -4, 132, -5, 23, -15. -15, -5, -4, 23, 132 Put -2, -3, 363, -377 in increasing order. -377, -3, -2, 363 Sort 0.17, -68.5, -439, 4/5 in decreasing order. 4/5, 0.17, -68.5, -439 Sort -7, 4, -54602, -2 in descending order. 4, -2, -7, -54602 Sort 2/3, 9, 4, 0.5, -0.1, 11707 in descending order. 11707, 9, 4, 2/3, 0.5, -0.1 Put -10/69, 0.5, -5, -2/17, -7/5 in descending order. 0.5, -2/17, -10/69, -7/5, -5 Sort 1141, 2, 322.49 in increasing order. 2, 322.49, 1141 Sort -4/5, 2/15, -1846, 5, 9/7, -46. -1846, -46, -4/5, 2/15, 9/7, 5 Sort 17580.87, -22, -0.5, 0.5 in ascending order. -22, -0.5, 0.5, 17580.87 Sort 10, -1451, 214, 4 in decreasing order. 214, 10, 4, -1451 Put 5210/7, -28, 38, -5 in increasing order. -28, -5, 38, 5210/7 Put -52, -5, -10, 6, -140 in descending order. 6, -5, -10, -52, -140 Sort -2, 0, -89, -53, 5 in increasing order. -89, -53, -2, 0, 5 Put 1, -2, 17, 3, -4, -3, -70 in increasing order. -70, -4, -3, -2, 1, 3, 17 Put -5, 36, 100, 117 in decreasing order. 117, 100, 36, -5 Sort 1, 7, -1963877 in increasing order. -1963877, 1, 7 Put -9750, 0.2, -193 in increasing order. -9750, -193, 0.2 Put 1/751, -0.09, 2, -4, 0.07 in ascending order. -4, -0.09, 1/751, 0.07, 2 Put 0, 2/3, 8, 17, 3/4, -9767/3 in increasing order. -9767/3, 0, 2/3, 3/4, 8, 17 Put 0, -12, -7, -1.5979 in descending order. 0, -1.5979, -7, -12 Sort 1104503, -344, 4. -344, 4, 1104503 Sort -3669662, 6, 0. -3669662, 0, 6 Sort -11, -1/2, 2/27, -89, -1.36 in increasing order. -89, -11, -1.36, -1/2, 2/27 Put -5/11, -341.18, 3 in descending order. 3, -5/11, -341.18 Put 276202, 149, 4 in decreasing order. 276202, 149, 4 Put 1, 2.89, -13/5, -2/69, -6 in decreasing order. 2.89, 1, -2/69, -13/5, -6 Sort -16, 3, 512, -11 in decreasing order. 512, 3, -11, -16 Sort -2/5, 0.7, 208, 2, -14/13 in ascending order. -14/13, -2/5, 0.7, 2, 208 Put -0.3, -0.5, 2/13, -75, 47, 4 in descending order. 47, 4, 2/13, -0.3, -0.5, -75 Sort -4, -1, 9637, -5, 19 in decreasing order. 9637, 19, -1, -4, -5 Put 7830, -157, -42 in decreasing order. 7830, -42, -157 Sort 0.1, 3, -0.2, -177559, -7 in ascending order. -177559, -7, -0.2, 0.1, 3 Sort 20, -5/3, -1/4, 0.2, -134.5 in increasing order. -134.5, -5/3, -1/4, 0.2, 20 Sort 3, 4/7, 109, 254.06 in decreasing order. 254.06, 109, 3, 4/7 Sort -62, -1, 22, -11, 13, 6. -62, -11, -1, 6, 13, 22 Put -6591039, 1, 0 in increasing order. -6591039, 0, 1 Put 1, -29171, -3, 2 in decreasing order. 2, 1, -3, -29171 Sort 3, -18, -8.674, -5/4 in descending order. 3, -5/4, -8.674, -18 Sort 11/2, 28684, 1/23, -1, -1/2. -1, -1/2, 1/23, 11/2, 28684 Put 46, 2, 221, -18.9 in descending order. 221, 46, 2, -18.9 Put 34, 3, 0, 6, 660, -1, 4 in decreasing order. 660, 34, 6, 4, 3, 0, -1 Put 211, 4, 0, -115, -30 in descending order. 211, 4, 0, -30, -115 Sort 0.5, 209, 18/5, -0.043 in ascending order. -0.043, 0.5, 18/5, 209 Sort -27, 0.08, 2, 4, 90, 11, -3. -27, -3, 0.08, 2, 4, 11, 90 Put 3, 10, 4, 0, 20, -5, -37 in decreasing order. 20, 10, 4, 3, 0, -5, -37 Sort 117, -3/5, -1/11, 48, -91 in decreasing order. 117, 48, -1/11, -3/5, -91 Put -11, 6, -252, 35, 3 in increasing order. -252, -11, 3, 6, 35 Sort 12, 4, 0, -156, -18720, -4. -18720, -156, -4, 0, 4, 12 Sort 0, -22, -5183, -9, -3, 1 in decreasing order. 1, 0, -3, -9, -22, -5183 Sort 5, -1/2, -8, 3, 5/3, 92, 1.7 in increasing order. -8, -1/2, 5/3, 1.7, 3, 5, 92 Put -3/47686, 22, -3/5 in descending order. 22, -3/47686, -3/5 Put -5, -39, -65, -154, 1 in decreasing order. 1, -5, -39, -65, -154 Put 1949, 5, -3, -5, 38, 10 in ascending order. -5, -3, 5, 10, 38, 1949 Sort -7994, 1467, 5 in increasing order. -7994, 5, 1467 Put -4, 859, 39199 in increasing order. -4, 859, 39199 Put -908, 4, -114, 97, -4, 2 in descending order. 97, 4, 2, -4, -114, -908 Sort 111, -5, 0, 25, -3. -5, -3, 0, 25, 111 Sort 0.26, 5000782, 4 in ascending order. 0.26, 4, 5000782 Sort 5, 357.9, -2, 0, 4, 1/4, 2/3. -2, 0, 1/4, 2/3, 4, 5, 357.9 Put -4, -13339, 35 in decreasing order. 35, -4, -13339 Put -0.8, -7/6, 0.09254, 2 in ascending order. -7/6, -0.8, 0.09254, 2 Sort 62, 85, -83, 1 in decreasing order. 85, 62, 1, -83 Put -1, -4, 2799, -7, -13, -2 in descending order. 2799, -1, -2, -4, -7, -13 Sort 110795, -1, -5, 0, 1 in descending order. 110795, 1, 0, -1, -5 Put 7, 2/5, -2/21, -18/11, 0.2 in increasing order. -18/11, -2/21, 0.2, 2/5, 7 Put 841267, -3/4, 1/4 in increasing order. -3/4, 1/4, 841267 Sort 0, 7, 515, 97. 0, 7, 97, 515 Put 3, 0.1, 2/7, 1/22, -3/211, -2 in descending order. 3, 2/7, 0.1, 1/22, -3/211, -2 Put 0, -18, -8872, -6, 2, -3, 4 in decreasing order. 4, 2, 0, -3, -6, -18, -8872 Put -176, -101, -279, 3 in increasing order. -279, -176, -101, 3 Put -35, 2/247, -8 in decreasing order. 2/247, -8, -35 Sort -3555975, -2, 7 in ascending order. -3555975, -2, 7 Sort 5941, -1, -3, -5, 28, 4, 9 in increasing order. -5, -3, -1, 4, 9, 28, 5941 Put 1/3, 1, 2480, -3/7, 79 in descending order. 2480, 79, 1, 1/3, -3/7 Sort -1, 2253, 19, 0 in increasing order. -1, 0, 19, 2253 Put 4562, 1, 3, -130, 5 in descending order. 4562, 5, 3, 1, -130 Put -26, -7270, -75 in increasing order. -7270, -75, -26 Put -13, -1, 138498, 0 in descending order. 138498, 0, -1, -13 Sort -3, -8, 29258, -2. -8, -3, -2, 29258 Put 4, -8881, -2596, 3, 5 in increasing order. -8881, -2596, 3, 4, 5 Put 4, -0.5, 2, 3, -90/13027 in ascending order. -0.5, -90/13027, 2, 3, 4 Sort -5, 3, -21, 235 in ascending order. -21, -5, 3, 235 Sort -5, 54, -3, -574104. -574104, -5, -3, 54 Sort 13/7, 11.4, 0.05, -10, 1/5. -10, 0.05, 1/5, 13/7, 11.4 Sort 7, -80815, 3, 11, 0 in ascending order. -80815, 0, 3, 7, 11 Put -0.26, -28, 42, -4 in ascending order. -28, -4, -0.26, 42 Sort -265, 9199, -31 in decreasing order. 9199, -31, -265 Put 255998, 38, -13 in ascending order. -13, 38, 255998 Sort -31846, 6, 0, 0.2, -0.07, 4/5. -31846, -0.07, 0, 0.2, 4/5, 6 Sort -15, -1, 4, 7, 2329, -2/7. -15, -1, -2/7, 4, 7, 2329 Sort -518, 0, -2, -3943 in decreasing order. 0, -2, -518, -3943 Put -6, -442, -0.5, 1/5 in decreasing order. 1/5, -0.5, -6, -442 Sort -32, 1/8, -2, 1/5, 4764, 7, 0 in ascending order. -32, -2, 0, 1/8, 1/5, 7, 4764 Put -4, 7/5, -6.11, -147, -2/9, 4 in decreasing order. 4, 7/5, -2/9, -4, -6.11, -147 Sort 2, -4, 112, -3/5, 48, -2/5. -4, -3/5, -2/5, 2, 48, 112 Sort -5, -43, 393727 in ascending order. -43, -5, 393727 Sort -5, 100569, 1, -3, -1, 3 in descending order. 100569, 3, 1, -1, -3, -5 Sort -12095, 2, -1, -4, 3 in ascending order. -12095, -4, -1, 2, 3 Put 0, 32, -4, -23, -3, 67, -2 in decreasing order. 67, 32, 0, -2, -3, -4, -23 Sort 38, -0.116, -261 in increasing order. -261, -0.116, 38 Put -3, -39, 86, -15, 7 in descending order. 86, 7, -3, -15, -39 Sort 3/308, -0.01, 36, 2/21 in decreasing order. 36, 2/21, 3/308, -0.01 Sort 2, -20, 5, 2201 in decreasing order. 2201, 5, 2, -20 Sort 11/19, -2, 0.1123, -6.2. -6.2, -2, 0.1123, 11/19 Sort -1204, 14, 19, -5, -3 in descending order. 19, 14, -3, -5, -1204 Sort 983, 50.8, -0.3, 5. -0.3, 5, 50.8, 983 Sort 1, 5, -3, 3, 465, 6 in increasing order. -3, 1, 3, 5, 6, 465 Put -2, 285316, 2, -5, 0.4, -0.8 in descending order. 285316, 2, 0.4, -0.8, -2, -5 Sort -0.016, -555, 3 in decreasing order. 3, -0.016, -555 Put -2, 5, 502, 2, 1, 423, -7 in decreasing order. 502, 423, 5, 2, 1, -2, -7 Sort 11, -2, -3, -23, 2, 8, 1. -23, -3, -2, 1, 2, 8, 11 Put 0.1, 0, -54, -0.088, -3 in ascending order. -54, -3, -0.088, 0, 0.1 Put 81, -5, 1, -2382, 5 in ascending order. -2382, -5, 1, 5, 81 Sort 1.49, 22656, 0.05, -0.1 in decreasing order. 22656, 1.49, 0.05, -0.1 Put 149, -138, 0, 8, 4 in decreasing order. 149, 8, 4, 0, -138 Put -32, -1, 102, 5, 95 in decreasing order. 102, 95, 5, -1, -32 Put -3, -1088363, 0, 1 in increasing order. -1088363, -3, 0, 1 Sort -2, -505, 0, -30, -3. -505, -30, -3, -2, 0 Put 117619, 0.2, 3/2, -0.5, 0 in ascending order. -0.5, 0, 0.2, 3/2, 117619 Put 0.913, -6985.1, 6/11 in ascending order. -6985.1, 6/11, 0.913 Sort 39, 40, -4, 2, 1, 5, -6. -6, -4, 1, 2, 5, 39, 40 Sort 5, 6541738, 4 in decreasing order. 6541738, 5, 4 Sort -111, -3, 5.4758 in increasing order. -111, -3, 5.4758 Sort 0.4, -2, 30802, 2/13, 0.1 in decreasing order. 30802, 0.4, 2/13, 0.1, -2 Sort 26/5, 1, 0.1196, -50. -50, 0.1196, 1, 26/5 Sort -35, -64, 1, -3, 5, 3, 0 in descending order. 5, 3, 1, 0, -3, -35, -64 Put 0.3, 78/25, 1022, 4/7 in ascending order. 0.3, 4/7, 78/25, 1022 Put 0.12, 4, -3, -2/19, -0.053139 in increasing order. -3, -2/19, -0.053139, 0.12, 4 Put -5, 4267, -2, 4, -14, 7, 5 in ascending order. -14, -5, -2, 4, 5, 7, 4267
Suppose 3*x - 45 = 2*b, 5*b + 0*b = 0. Let c = 22 - x. Calculate the remainder when 26 is divided by c. 5 Let x(m) = m**3 + 17*m**2 + 13*m - 26. What is the remainder when 126 is divided by x(-16)? 16 Let i = -660 + 1121. What is the remainder when i is divided by 33? 32 Let k(j) be the first derivative of j**2/2 - j - 5. Let x = -88 - -105. Calculate the remainder when x is divided by k(6). 2 Suppose -3*s = -2*s - 5. Suppose -2*b - 2*b + 3*c = -261, -2*c - 321 = -s*b. What is the remainder when b is divided by 13? 11 Let h be (23/(-46))/(1/118). Let m = 60 + h. Calculate the remainder when 1 is divided by m. 0 Suppose -3*v + 3*q + 25 = -38, v = 5*q + 41. Let d be 5 - 6/(0 - -3). Calculate the remainder when 5/(d/(-27)*-1) is divided by v. 13 Let v be (-4)/30 + (-10452)/(-90). Suppose -3*n = -5*c - v, -82 = 3*c + c + 3*n. Let o = c - -55. What is the remainder when o is divided by 17? 16 Let t(z) = -3*z**3 - z**2 - 3*z - 1. Let l(o) = -o**2 - 2*o + 72. Suppose -3*r - 3*r = 0. What is the remainder when l(r) is divided by t(-2)? 22 Let n be 4/10 - 448/20. Suppose -d - 4*g + 24 = 0, -3*g + 8*g = -2*d + 60. What is the remainder when d is divided by (0 - n)*(-3)/(-6)? 7 Let v be 3 + (4 - (4 + 0)). Suppose m + 104 = v*m + 4*k, 0 = -4*m - 4*k + 192. What is the remainder when m is divided by 12? 8 Let s(l) be the second derivative of l**3/3 + 25*l**2/2 - 5*l. What is the remainder when s(0) is divided by 13? 12 Let u = -181 - -246. What is the remainder when u is divided by 17? 14 Suppose 0 = -5*q + 12 + 3. Calculate the remainder when 38 is divided by 44/q*12/8. 16 Suppose 0 = 4*b + 16, -q - 3*b - 342 = 4*q. Let a = q - -122. Calculate the remainder when a is divided by 29. 27 Suppose -3*d - 42*y + 47*y + 350 = 0, -d - 4*y + 145 = 0. What is the remainder when d is divided by 27? 17 Let k = 36 - -7. Let o = 63 - k. What is the remainder when 57 is divided by o? 17 Let w = 237 + -174. Suppose 15 = 4*n - 5*j - w, -2*j = 4*n - 64. Suppose 3*s + u = 144, 9*u - 4*u - 15 = 0. What is the remainder when s is divided by n? 13 Let s be -20 - (0/(-2) - 1). Let d = s - -23. Suppose w = x - w - 10, -d*w + 8 = 0. Calculate the remainder when 53 is divided by x. 11 Let r = 42 - 4. Let p = r + -16. What is the remainder when 41 is divided by p? 19 Let j be (-2)/10 + 8/(-10). Let s be (5/5)/(j/(-4)). Suppose g + 0*g - 3*d = 3, 0 = s*d. What is the remainder when 3 is divided by g? 0 Let j be ((-11)/2)/((-7)/518). Calculate the remainder when j/11*(1 - -1) is divided by 15. 14 Suppose -5*h + 15 = -10*h. Let t(x) = -3*x + 8. Let n = 199 - 133. What is the remainder when n is divided by t(h)? 15 Let y = -564 + 733. Calculate the remainder when y is divided by 35. 29 Let v(u) = -u**3 + u**2 - 2*u. Let g be v(-2). Let p = 36 + g. Let y = 108 - p. What is the remainder when y is divided by 15? 11 Calculate the remainder when 263 is divided by (-5576)/(-287) - (-3)/(-7). 16 Let w(p) = -8*p + 3. Let x be w(2). Let b(g) = -g**2 - 14*g - 3. What is the remainder when 37 is divided by b(x)? 7 Let t(c) = 13*c**2 + c - 14. What is the remainder when t(3) is divided by 6? 4 Let t(w) = w**3 - 14*w**2 - 34*w - 31. Let h be t(16). Let n = h + 128. What is the remainder when n is divided by 6? 5 Let m(o) = o**2 - 5*o - 8. Let x be 33/6 - (-2)/4. Let i be m(x). What is the remainder when 1 + (63 - 1 - i) is divided by 17? 14 Suppose -2*t + 0*t = -18. Suppose t = 6*s - 3*s. Suppose -5*v + s = -57. Calculate the remainder when 35 is divided by v. 11 Let u = 257 + -189. Calculate the remainder when u is divided by 4. 0 Let g be ((-8)/(-6))/((-18)/(-27)). Let p(r) = 7*r. What is the remainder when 40 is divided by p(g)? 12 Let z(v) = v + 45. Let g be z(-15). Suppose 310 = 10*u - g. Calculate the remainder when u is divided by 3/2*-3*-2. 7 Let y = 2966 + -2939. Calculate the remainder when y is divided by 8. 3 Suppose -2*m = m - 1029. Let n be m/4 - (-8)/32. Suppose -t + n = 5*i, -2*t + 4 = -3*t. Calculate the remainder when 70 is divided by i. 16 Let s(c) = 7*c**2 - c - 8. Let u be s(4). Suppose -13*j = -3*j - u. Let o = 40 + -2. What is the remainder when o is divided by j? 8 Let b = 1 - -8. Let d be (-25)/4 + 2/8. Let v = b + d. Calculate the remainder when 11 is divided by v. 2 Suppose 0 = -3*q - 3*g + 39, 3*g - 74 = -5*q - 13. What is the remainder when 85 is divided by q? 8 Let l = 1 + 53. Let x(w) = w + 12. Let s be 55/5 - (-8)/(-2). Calculate the remainder when l is divided by x(s). 16 Let k be 22/(-1 - -3)*3. Let l be (-3)/4 - k/(-12). Suppose -l*t = -3*r + 43, 2*r + 47 = 5*r - t. Calculate the remainder when 31 is divided by r. 14 Suppose -5*i = -3*z - 1452 - 1224, 0 = -3*i + 5*z + 1596. Calculate the remainder when i is divided by 49. 47 Let r = -17 + 30. Let j(x) = x**3 - 2*x + 51. Let o be 1/2 + 1 - 24/16. What is the remainder when j(o) is divided by r? 12 Let k(p) = p**2 + 14*p - 16. Suppose -3*i = -2*i - 4*u - 58, 0 = -4*u + 4. What is the remainder when i is divided by k(-16)? 14 Suppose 4*w + 3 = 19. Let a(k) = k**2 - 10*k - 9. Let i be a(-9). Suppose 2*t + i = 168. What is the remainder when w is divided by t? 1 Let r(k) = -4 - 2*k**2 + 3*k**2 + 9 - 4*k. Calculate the remainder when 5 is divided by r(3). 1 Let y = 175 + -141. What is the remainder when 100 is divided by y? 32 Suppose 5*m + 3*h = 56, -4*h + 3*h = -3*m + 28. Let n = 3 - m. What is the remainder when 81 is divided by (-2)/n - (-580)/28? 18 What is the remainder when 33 is divided by (-3)/((-33)/(-341)*-1)? 2 Let a be -2*(75/(-10))/5. Let h(j) = -j**2 + 5*j + 3. Calculate the remainder when 33 is divided by h(a). 6 Let r(w) = w**3 + 7*w**2 + 8*w + 2. Let a be r(-7). Let f be a/45*20/(-6). Suppose -f*u + u + 6 = 0. What is the remainder when u is divided by 2? 0 Let p(h) = 35*h + 113. What is the remainder when p(2) is divided by 67? 49 Let i(z) = 14*z**2 + 26*z**2 + z**2. What is the remainder when i(-1) is divided by 11? 8 Let l(q) = 2*q + 14. What is the remainder when 75 is divided by l(-4)? 3 What is the remainder when (8 - 4) + -6 - -115 is divided by 29? 26 Suppose -740*j = -747*j + 91. Calculate the remainder when 133 is divided by j. 3 Let u = 26 + -16. Let g(r) = 1 - u*r + 10 - r**2 + r**2 - r**2. What is the remainder when 80 is divided by g(-8)? 26 Let y(x) = 46*x + 1. Calculate the remainder when 375 is divided by y(1). 46 Let x be (10/25)/(2/(-580)). Let q(p) = 37*p**2 + p. Calculate the remainder when q(-1) is divided by (-4 + 1)/(x/52 + 2). 10 Let t = -2083 - -2118. Let x = 5 - -7. What is the remainder when t is divided by x? 11 Let q = 263 - 239. Calculate the remainder when q is divided by 9. 6 Suppose -25*i + 260 = -23*i. Suppose -3*q - 25 + i = 0. What is the remainder when q is divided by 12? 11 Let p = -21 + 19. Let b(x) = -2*x**3 - 2*x**2 - 4*x - 4. Calculate the remainder when 35 is divided by b(p). 11 Let t = 16 - 272. Let n = t + 359. What is the remainder when n is divided by 8? 7 Let x = 89 + -80. Let q = 1 + 1. Suppose 0 = -q*f - 0*f + 64. What is the remainder when f is divided by x? 5 Let h(s) = 2*s**2 - 2*s + 1. Calculate the remainder when h(5) is divided by 4/10 + (-108)/(-5) + 0. 19 Let z = -328 + 420. What is the remainder when z is divided by 81? 11 Let t be (-6 + 4)/(4/10). Let r = 7 + t. Suppose -r*g - 12 = -6*g. Calculate the remainder when 7 is divided by g. 1 Let o(l) = 6*l**2 + l**3 - 3*l - 2 - 8*l + 13*l. What is the remainder when 87 is divided by o(-4)? 21 Let f(l) = l**2 - l - 2. Let q = -234 - -292. What is the remainder when q is divided by f(-3)? 8 Let n(o) = -o**2 - 11*o - 4. Suppose 12 = -4*p, 2*f - 5*f - 4*p = 39. What is the remainder when n(f) is divided by 5? 4 What is the remainder when (4 - -118)*(1/2 + 0) is divided by 20? 1 Let m(c) = -c**2 - 5*c - 2. Let l(w) = 4*w + 1. Let a(d) = -2*l(d) - 3*m(d). What is the remainder when 45 is divided by a(-4)? 21 Let j(v) = -132*v**2 + v + 8. Let f be j(-10). What is the remainder when f/(-126) - 2/(-9) is divided by 27? 24 Let b(a) = -25*a + 4. What is the remainder when b(-7) is divided by 75 + -59 - (-8)/(1 + 1)? 19 Let y(w) = w**3 - 29*w**2 + 210*w + 71. Suppose 0 = p - 3*p + 36. Calculate the remainder when y(15) is divided by p. 17 Let r(w) = -15*w - 28. Let y be r(-12). Suppose -m + 487 = 4*s + 156, -2*s = -4*m - y. Calculate the remainder when s is divided by 42. 40 Suppose -5*x = m - 34, -2*m - m = 3. What is the remainder when (-27*(-4)/(-6))/((-57)/76) is divided by x? 3
Solve -31 = 14*z + 11 for z. -3 Solve -4*r + 16 = 24 for r. -2 Solve 7*z - 5 = -26 for z. -3 Solve -11*f - 14 + 58 = 0 for f. 4 Solve 12 = 20*n + 72 for n. -3 Solve -16*m + 115*m = 99 for m. 1 Solve 3*c + 7*c = 40 for c. 4 Solve 10*l - 1674 = -1604 for l. 7 Solve -63 = 10*m - 13 for m. -5 Solve 0 = 2*c + 4 + 4 for c. -4 Solve 42*t - 26*t + 144 = 0 for t. -9 Solve 0 = -25*o + 29*o + 4 for o. -1 Solve -1935 = 8*d - 1927 for d. -1 Solve -13*f - 65 = -0*f for f. -5 Solve 18*b - 9*b = 9 for b. 1 Solve 450*a + 32 = 454*a for a. 8 Solve 22*p - 113*p = -182 for p. 2 Solve -24*p - 8 + 80 = 0 for p. 3 Solve 103 + 30 = 19*a for a. 7 Solve -7*j + 121 = 156 for j. -5 Solve 757 = 6*s + 751 for s. 1 Solve -6*i = -11*i + 10 for i. 2 Solve 53*k - 37 = -143 for k. -2 Solve 11*p = -1 - 54 for p. -5 Solve -7*r + 62 = 90 for r. -4 Solve 7*i = -9*i + 96 for i. 6 Solve 0 = 31*v - 29*v for v. 0 Solve -8*g = 666 - 650 for g. -2 Solve 459 = 66*x + 129 for x. 5 Solve 0 = z + z + 2 for z. -1 Solve 0 = 405*u - 409*u - 20 for u. -5 Solve 60*g = 30 - 30 for g. 0 Solve -79*x = -82*x for x. 0 Solve -68*h = -46*h - 110 for h. 5 Solve -32*s = -13*s + 171 for s. -9 Solve 104 = 16*t + 10*t for t. 4 Solve 11*c - 695 = -662 for c. 3 Solve -10*k + 20*k - 10 = 0 for k. 1 Solve 5 - 9 = 4*o for o. -1 Solve 2*k - 368 + 358 = 0 for k. 5 Solve -11 = 2*i - 3 for i. -4 Solve 53*g - 27 = 44*g for g. 3 Solve -202 + 22 = 36*g for g. -5 Solve -19 - 5 = -8*o for o. 3 Solve -3*w = 7*w + 60 for w. -6 Solve 5*r = 4*r - 5 for r. -5 Solve 9*c + 258 = 195 for c. -7 Solve 207*h = 38*h + 1521 for h. 9 Solve 119*h = 41*h - 390 for h. -5 Solve 0 = 19*y - 17*y + 14 for y. -7 Solve -12*b + 7*b - 3*b = 0 for b. 0 Solve 0 = -18*j + 19*j for j. 0 Solve 0 = -4*c - 264 + 276 for c. 3 Solve -62*v - 32 = 30 for v. -1 Solve 0 = -251*t + 252*t - 6 for t. 6 Solve -33 - 15 = -24*m for m. 2 Solve 159 = 4*u + 151 for u. 2 Solve -203 = 23*b + 4 for b. -9 Solve -6 = -l - 2*l for l. 2 Solve -45*m - 52*m = 582 for m. -6 Solve 3*m - 5 = 10 for m. 5 Solve 38*v + 6*v - 88 = 0 for v. 2 Solve -17 = -3*b - 32 for b. -5 Solve -2*v + 3 = -1 for v. 2 Solve -6*u - 16 = 2*u for u. -2 Solve -86 = 70*y + 404 for y. -7 Solve -2*b - 24 = -14 for b. -5 Solve 2*i - 3*i + 3 = 0 for i. 3 Solve 54*y = 48*y - 24 for y. -4 Solve 6 = -13*n - 33 for n. -3 Solve 0 = -6*n + 3 - 9 for n. -1 Solve 65*o = 63*o + 2 for o. 1 Solve -11 = 8*s - 27 for s. 2 Solve 335 - 362 = -9*q for q. 3 Solve 1 = -14*d + 15 for d. 1 Solve -17*w = 50*w - 335 for w. 5 Solve -10*s - 12 = -14*s for s. 3 Solve -15*x + 28 = -8*x for x. 4 Solve q - 4 = 1 for q. 5 Solve h - 15*h + 14 = 0 for h. 1 Solve 16*s = -53 - 27 for s. -5 Solve 9 + 55 = 8*x for x. 8 Solve -50*f = -4*f - 92 for f. 2 Solve 3*s + 19 = 22 for s. 1 Solve 222*c = 221*c + 4 for c. 4 Solve 1864*m + 3 = 1867*m for m. 1 Solve 17*s = -9*s + 130 for s. 5 Solve -43*i = -13*i + 30 for i. -1 Solve 213 - 173 = 10*r for r. 4 Solve 209 - 302 = -31*b for b. 3 Solve 4 = 10*r - 36 for r. 4 Solve -4*x + 23 - 23 = 0 for x. 0 Solve 2*c - 4 = -8 for c. -2 Solve 307 = -68*v - 101 for v. -6 Solve -9*o = 11 + 16 for o. -3 Solve -7*t - 7 = -0 for t. -1 Solve 90 = -9*i + 24*i for i. 6 Solve 19*z - 14*z + 5 = 0 for z. -1 Solve -m + 90 = 93 for m. -3 Solve 57 = -28*f + 197 for f. 5 Solve 958 = -k + 963 for k. 5 Solve 416 = -65*s - 39 for s. -7 Solve 0 = 4*h + h + 30 for h. -6 Solve 560 = -74*k + 190 for k. -5 Solve 0 = 31*i + 50*i + i for i. 0 Solve -40 = 2*f + 6*f for f. -5 Solve -14*h = -0 + 56 for h. -4 Solve 0 = 6*y + 2*y - 16 for y. 2 Solve -33 - 30 = -21*x for x. 3 Solve 119 = 113*i - 96*i for i. 7 Solve -12 = 140*y - 144*y for y. 3 Solve 6*p = 3*p - 9 for p. -3 Solve -9*x + 84 = 57 for x. 3 Solve 83*y = 19*y + 448 for y. 7 Solve -10 = 6*s + 4*s for s. -1 Solve 20 + 45 = -13*p for p. -5 Solve -143*p + 976 = -25 for p. 7 Solve 24 = 37*v + 209 for v. -5 Solve 3*s = 15 - 6 for s. 3 Solve -246*y - 40 = -254*y for y. 5 Solve 43*s + 7 = 50 for s. 1 Solve 85 - 21 = 16*q for q. 4 Solve -71*g + 66*g = -10 for g. 2 Solve -16*q - 32 - 32 = 0 for q. -4 Solve -13*i + 3*i = 14*i for i. 0 Solve -12*o - 160 = -196 for o. 3 Solve 22*r = -1 - 43 for r. -2 Solve -5*a = -11*a - 24 for a. -4 Solve 9*f = 6*f for f. 0 Solve -22*b + 4 = -23*b for b. -4 Solve -25*y - 36 = 64 for y. -4 Solve -4*r + r = 6 for r. -2 Solve -d = -7*d + 18 for d. 3 Solve -112*l = -98*l - 28 for l. 2 Solve 0 = -c - 17 + 20 for c. 3 Solve 33*w - 4 = 31*w for w. 2 Solve 0 = 26*q + 235 - 53 for q. -7 Solve 0 = -88*u + 91*u - 9 for u. 3 Solve 0 = -58*f + 41*f - 102 for f. -6 Solve 0 = -16*x + 7*x - 63 for x. -7 Solve -46*y - 37 = -9*y for y. -1 Solve 28 = -h + 30 for h. 2 Solve 13*g + 65 = -0*g for g. -5 Solve 137*u = 107*u + 240 for u. 8 Solve 6*h = 8*h + 11*h for h. 0 Solve -5*r = 248 - 228 for r. -4 Solve -16 + 7 = -3*j for j. 3 Solve -2 = h + 3 for h. -5 Solve 0 = -34*k + 36*k - 6 for k. 3 Solve -10*g = 2*g - 84 for g. 7 Solve 76*c - 79*c + 12 = 0 for c. 4 Solve -3*o - 15 = -6*o for o. 5 Solve 0 = -y + 29 - 23 for y. 6 Solve -11*a + 22 = -33*a for a. -1 Solve 0 = -92*c + 64*c - 168 for c. -6 Solve -2*v = -17*v - 15 for v. -1 Solve 18*n = -83 + 11 for n. -4 Solve 24 = 18*d - 12*d for d. 4 Solve 27*g = 36 + 45 for g. 3 Solve -20*d = -21*d - 3 for d. -3 Solve 75*v + 6 = 77*v for v. 3 Solve -5 + 15 = 2*y for y. 5 Solve 21*z - 130 + 130 = 0 for z. 0 Solve -37*z = -33*z + 20 for z. -5 Solve -9*y + 3 = -15 for y. 2 Solve -27 + 29 = -2*p for p. -1 Solve -350 = 62*f - 102 for f. -4 Solve 0 = -27*j + 23*j for j. 0 Solve 91*m - 103*m + 36 = 0 for m. 3 Solve 11 - 50 = 13*i for i. -3 Solve 248*f - 198*f = 0 for f. 0 Solve 0 = 17*c - 5*c + 36 for c. -3 Solve -40 = -17*c + 27*c for c. -4 Solve -5*x + 3*x - 10 = 0 for x. -5 Solve -58 - 19 = -11*h for h. 7 Solve 2 = 12*b - 10 for b. 1 Solve 9*o - 92 + 65 = 0 for o. 3 Solve -3520*t + 1 = -3519*t for t. 1 Solve 9*x = -51 + 87 for x. 4 Solve -2 = -55*j + 53*j for j. 1 Solve 11*c = 10*c - 4 for c. -4 Solve -26*c + 170 = -64 for c. 9 Solve -71*k = -72*k + 1 for k. 1 Solve 0 = -461*o + 464*o + 15 for o. -5 Solve 8*c - 24 = 14*c for c. -4 Solve -22 = -5*n + 3 for n. 5 Solve -9*m = -15*m - 24 for m. -4 Solve 15*i + 22 + 8 = 0 for i. -2 Solve 71 - 56 = 5*y for y. 3 Solve -3*f = -19*f + 32 for f. 2 Solve 5*a + 16*a = 5*a for a. 0 Solve -15*t = -16*t - 5 for t. -5 Solve -23*i - 4 = 65 for i. -3 Solve -5*b + 1650 = 1640 for b. 2 Solve -28*z + 54 = 166 for z. -4 Solve -25*x + 25 = -30*x for x. -5 Solve 67*o - 68*o - 2 = 0 for o. -2 Solve -78*a + 71*a = 42 for a. -6 Solve -8*l - 43 + 19 = 0 for l. -3 Solve 7*h = -6*h for h. 0 Solve 11*x - 311 + 322 = 0 for x. -1 Solve 16*r - 33 = -17 for r. 1 Solve 12 = -6*u + 3*u for u. -4 Solve -13 = -5*t + 12 for t. 5 Solve -8*s - 2 = 6 for s. -1 Solve -7*y - 282 + 324 = 0 for y. 6 Solve 100 - 125 = 5*v for v. -5 Solve 7*h + 23 = 30*h for h. 1 Solve -5*l + 28 = 2*l for l. 4 Solve 12*i - 11 = 25 for i. 3 Solve 12*t = -5*t - 34 for t. -2 Solve -44 = -27*h + 5*h for h. 2 Solve 0 = -2*n - 17 + 15 for n. -1 Solve 0 = 11*k - 4*k for k. 0 Solve -66*j = -31*j + 140 for j. -4 Solve -8*p + 59 - 99 = 0 for p. -5 Solve -115 = -54*u + 31*u for u. 5 Solve -9*y - 414 = 60*y for y. -6 Solve 5*r + 16 = -11*r for r. -1 Solve 6 = -2*z + 4 for z. -1 Solve 13*q = 14*q - 3 for q. 3 Solve -14 + 2 = -4*f for f. 3 Solve -4*p = -0*p - 12 for p. 3 Solve 30 = -43*z + 37*z for z. -5 Solve 0 = 3*s + 36 - 42 for s. 2 Solve 24*k = 35*k - 33 for k. 3 Solve 28*r = 16*r for r. 0 Solve -89*v + 48 = -137*v for v. -1 Solve 0 = -3*j + 58*j - 275 for j. 5 Solve -19*z + 113 - 227 = 0 for z. -6 Solve 0 = -1090*i + 1092*i + 6 for i. -3 Solve 0 = -135*v + 143*v + 40 for v. -5 Solve 15*y = 43*y + 140 for y. -5 Solve -2*t = -26 + 20 for t. 3 Solve -12*m + 48 - 24 = 0 for m. 2 Solve 1924 = 16*d + 2036 for d. -7 Solve 33*c = -24*c - 399 for c. -7 Solve 52 = 25*w + 27 for w. 1 Solve -v + 6 = 6 for v. 0 Solve 23*y = 15 + 31 for y. 2 Solve h - 8 + 3 = 0 for h. 5 Solve -l - 8 = l for l. -4 Solve 44*o = -o + 135 for o. 3 Solve 4*y - 1 = -5 for y. -1 Solve 17*p = 29*p for p. 0 Solve -5 = -33*s + 34*s for s. -5 Solve 6*c - 40 = -2*c for c. 5 Solve 298*g - 70 = 312*g for g. -5 Solve 16*g - 2 = -50 for g. -3 Solve 8*h + 40 = -0*h for h. -5 Solve 90*l - 91*l = 1 for l. -1 Solve 0 = 12*z - 17*z - 5 for z. -1 Solve 3*u - 8 = -17 for u. -3 Solve -36 - 243 = 31*n for n. -9 Solve 19*y = -141 + 65 for y. -4 Solve -613*t = -625*t + 24 for t. 2 Solve -38*y + 22*y = 48 for y. -3 Solve -11*y = -5*y - 6 for y. 1 Solve -2*m + 15 - 21 = 0 for m. -3 Solve 0 = y + 4*y + 15 for y. -3 Solve 14 = 2*a + 24 for a. -5 Solve 1114*d = 1106*d - 8 for d. -1 Solve 4 - 7 = -3*m for m. 1 Solve -876 = -10*i - 816 for i. 6 Solve 97 = 8*w + 81 for w. 2 Solve 288 = -38*g + 60 for g. -6 Solve -15 + 43 = 7*y for y. 4 Solve -21*j = -51 - 12 for j. 3
Let i = -1169/1740 - -3/580. Sort -18, 1, i, 0.3 in increasing order. -18, i, 0.3, 1 Let z be -30*(-8*1)/4. Let p be (z/(-50))/((-3)/10). Suppose -m - 15 = -14. Sort p, m, -5 in decreasing order. p, m, -5 Let v be 4*1*76/(-456) - 0. Let j = -8 - -6. Sort -0.06, v, j. j, v, -0.06 Let j = -437/5 - -88. Let b be (-268)/(-876) + (-2)/6. Let p = -116/1095 + b. Sort p, j, -2 in descending order. j, p, -2 Let h be ((1 - -9)/(-2))/((-110)/(-110)). Sort h, 2, -493, 0 in ascending order. -493, h, 0, 2 Let j = -4.87 - -1.87. Put j, -2, -26 in decreasing order. -2, j, -26 Let i = 61 - 142. Sort 4, 2/9, i in increasing order. i, 2/9, 4 Let x = 89.938 + -90. Let b = x - 0.338. Sort 5, 1, b in increasing order. b, 1, 5 Suppose -5*y - 5 + 25 = 0. Let k be (228/24 + -7)*-2. Sort y, k, 0.2 in descending order. y, 0.2, k Let m = 230 + -232. Suppose -3*s - 4*z = 7, 5*s + 4*z + z = -5. Suppose -2*n = -3*b + 22, 2*b + 3*n = -2*b + 1. Sort m, s, b in decreasing order. b, s, m Suppose -2*d - 9 = -4*v - 21, 4*d - 6 = -v. Let x = 5/2 - 3. Sort -0.1, x, d in decreasing order. d, -0.1, x Let f = 337 - 331. Put -5, -1, -4, f in ascending order. -5, -4, -1, f Suppose z - 3 = 2*z. Let v be (-21)/(-14)*(-20)/(-6). Suppose 0 = 3*w + 2*w + v. Sort w, 0, z in descending order. 0, w, z Let n(s) = -s**2 + 27*s + 324. Let t be n(-9). Let i(o) = o**2 - 6*o + 5. Let w be i(6). Sort w, -5, t, -8. -8, -5, t, w Let q(z) = -24*z + 1062. Let v be q(44). Sort v, -19, 0, -4. -19, -4, 0, v Suppose 0 = 3*f - 5*j + 874 - 81, 1046 = -4*f + j. Let h = 2869/11 + f. Put h, 1, 3, 2/13 in increasing order. h, 2/13, 1, 3 Let s = -14 + 20. Suppose -42 = -7*r + 2*r - d, r - 4*d - 21 = 0. Suppose s*n - 5*t = 4*n + 17, -n = t + r. Put -10, n, 2 in decreasing order. 2, n, -10 Suppose -9 = -b - 2*b. Let g be (4 - (-32)/b) + 2. Sort 0.1, 4, g. 0.1, 4, g Let j be (5*(-4)/(-10) - 4)/7. Let q(v) = -v**2 + 4*v - 4. Let l be q(4). Sort -1, j, l. l, -1, j Let p = 10 - 5. Let f = 2069 - 47585/23. Sort 3/8, p, f. f, 3/8, p Suppose 2*m = 4*m. Let l = 72 - 75. Sort l, m, 3. l, m, 3 Suppose 2*v + 2*c = -2*c, -v - 4*c = 0. Suppose -4*d + 8 = v, 0 = -5*r + 2*d - 49 - 120. Let t = 36 + r. Put t, 2, 5 in descending order. 5, t, 2 Let h(c) = -10*c + 63. Let a be h(6). Sort a, 4, -4, -1. -4, -1, a, 4 Let q be 1/(-2)*4/6. Suppose -6*k = -7*k + 2*t + 14, 2*t - 16 = -4*k. Put k, q, 2/3 in descending order. k, 2/3, q Suppose -28*k - 24 = 4. Sort 8, -14, -2, k in descending order. 8, k, -2, -14 Let x be 0 - 1/(-2)*10. Let s = 9.9 + -10. Let t = -0.3 - s. Put x, 4, t in increasing order. t, 4, x Suppose 4*f - 3 = 2*y + 5, 0 = 5*y - 3*f - 1. Let s = -53 + 50. Sort 0, y, 3, s. s, 0, y, 3 Let h be -6 + 6 - (-16)/(-56). Let f = 2/57 - -74/57. Sort h, f, 1/5. h, 1/5, f Let l = -10 + 6. Let r(b) be the first derivative of -5*b**2 - 2*b - 2. Let k be r(-1). Put 4, l, k in increasing order. l, 4, k Let d be 3 - ((-6)/(-75))/(4/120). Sort -18, -5, d. -18, -5, d Let z = -11.35 - -0.95. Let a = z - -10. Sort a, -1/2, 5. -1/2, a, 5 Let k = 0.122 - 59.122. Let n = -58.8 - k. Let x = 0 + 1. Put n, x, 9 in ascending order. n, x, 9 Let w be ((-4)/(-98))/(76/(-532)). Sort w, 3, 0.053, -0.3 in increasing order. -0.3, w, 0.053, 3 Let s = -2.656 + 2.6. Put 1/4, -3, s in increasing order. -3, s, 1/4 Suppose 0*f - 12 = -4*s + f, -3*s + 9 = -f. Let w = 49 + -35. Sort 5, w, -2, s in ascending order. -2, s, 5, w Let c(s) = 6*s - 20. Let g be c(4). Let j = g - 0. Sort 0, -10, j. -10, 0, j Let k = -8 + 7. Let h be k/(-1*2/8). Let l(p) = -p**2 - 7*p - 7. Let c be l(-5). Sort 0, h, c in decreasing order. h, c, 0 Suppose 6*s - 2*s = 12. Suppose 5*b - 4 = 2*j, 4 - 2 = 2*j - 2*b. Suppose r + 2 = 2*y + j, -5*y - 5*r - 10 = 0. Put 5, s, y in descending order. 5, s, y Let v = 2.738 + -3.24. Let f = -0.002 - v. Sort -6, f, 0.4, -0.3 in decreasing order. f, 0.4, -0.3, -6 Let b = 3 + 0. Put -70, 3/7, b in descending order. b, 3/7, -70 Let i = 57 + -53. Let z = -98 + 89. Put i, 0.5, 2, z in decreasing order. i, 2, 0.5, z Let h = -169 - -1181/7. Let t(k) = -k**3 - 6*k**2 - 2*k - 9. Let q be t(-6). Let m = 85 - 509/6. Sort m, q, h in descending order. q, m, h Let f = -151 + 156. Put 4, f, 2, 1 in decreasing order. f, 4, 2, 1 Let x = 138.43 - 139. Let p = 0.77 + x. Sort 5, 4, p in decreasing order. 5, 4, p Let l = -5 + 9. Suppose -r + l - 3 = 0. Let y(z) = z**2 + 8*z + 6. Let a be y(-7). Sort r, -2, a in ascending order. -2, a, r Suppose 0 = -22*l + 27*l - s + 954, 0 = 5*l - 3*s + 952. Put l, 2, -1 in ascending order. l, -1, 2 Suppose -5*r + 3 = i - 7, -3*i - 3*r = 6. Suppose -5*a - 3*z = 18, -z = -a - 4*z - 6. Put a, 15, i in increasing order. i, a, 15 Let h = -0.3 + -0.7. Let u = -7.8 + 7.904. Let m = u + 0.096. Put h, m, 2/3 in ascending order. h, m, 2/3 Let x = -0.12 - -0.03. Let b = x + 0.09. Let z = -24 + 24.4. Put b, 0.2, z in descending order. z, 0.2, b Let a(v) = v + 8. Let p be a(-4). Let b = 129 + -128. Sort p, b, -4, -10. -10, -4, b, p Let x = 11 + -8. Let q be 8/(24/45)*8/20. Let l = 11 - q. Put x, 4, l in decreasing order. l, 4, x Let f(v) = 3*v**3 + 2*v**2 + v - 3. Let c be f(1). Suppose -5*i = -0*h + 2*h + 19, h + 8 = -2*i. Sort 1, c, -5, i in increasing order. -5, i, 1, c Let h be 2460/21*(-3)/(-16). Let o = 2494/3 - 10243/12. Let u = h + o. Sort u, 1, 5/6 in descending order. 1, 5/6, u Let a(b) = -3*b + 13. Let p be a(6). Let h be p*10/(-275)*1. Sort -0.13, -3, h in decreasing order. h, -0.13, -3 Let s = 239685 + -8389594/35. Let v = s - -87/5. Let h = 0.02 + -5.02. Sort v, 0.3, h in increasing order. h, v, 0.3 Let l(h) = 2*h**3 + 16*h**2 + 11*h - 11. Let v be l(-7). Put -2, v, 2, 3 in increasing order. -2, 2, 3, v Let t = 647 + -647.6. Put -2/3, 6, t in increasing order. -2/3, t, 6 Let y(m) = -6*m - 19. Let i(u) = 6*u + 74. Let t be i(-13). Let p be y(t). Sort -15, p, 4. -15, 4, p Suppose -6*t = -10*t - 20. Suppose -20 = -4*m, w + 4*m - 18 = 3*w. Put w, 9, t in ascending order. t, w, 9 Suppose 0 = -2*x + g + 14, 5*g = x + 4*x - 25. Suppose -14*i - x = -5*i. Sort i, 6, 4 in decreasing order. 6, 4, i Let b(l) = 9*l**2 - 692*l - 66. Let a be b(77). Suppose -y + 2*y + 2*u + 4 = 0, 0 = 5*y + 4*u + 8. Sort -5, a, y. -5, y, a Suppose 68*g + 20 = 70*g - 4*z, 2*z + 28 = 4*g. Put g, -3, -4, 1 in descending order. g, 1, -3, -4 Let t = -8 + -2. Let s be -6*(45/t)/3. Put 4, 1, -3, s in decreasing order. s, 4, 1, -3 Let c be ((-19)/6)/((-45)/(-1380)). Let a = 97 + c. Let s = 0.07 - 5.07. Put a, 0, s in descending order. 0, a, s Let v = 0.3 - 0.2. Let h = -50 + 49.48. Let m = h + 0.92. Sort m, 1, v. v, m, 1 Suppose 3*i - 15 = -2*i. Suppose -83 = -5*v - g, -g - 40 = -i*v + 5. Suppose -5*q - v = -t, -4*q - q - 40 = 5*t. Sort -4/7, t, -0.3. t, -4/7, -0.3 Let c = 146/119 - 16/17. Let h = 3.9665 - -0.0335. Let m = 0.2 - 0.4. Put m, c, h in ascending order. m, c, h Let u be (18/2 - 9)*(-2)/(-6). Put -2/19, u, 4/3, 2/7 in descending order. 4/3, 2/7, u, -2/19 Suppose 3*m - 4 + 1 = 0. Let a = 352/7 + -355/7. Put 8, m, a in descending order. 8, m, a Let h be (-1)/(-4)*68/51. Let d = 8.5 - 8. Sort -2/17, d, h in increasing order. -2/17, h, d Let j(a) = a**3 - 31*a**2 - 33*a - 1. Let u be j(32). Let s be u/22*(1 - -1) - -1. Put s, -5, 14 in decreasing order. 14, s, -5 Let u = -0.32 + 0.12. Let c = -37/5 + 8. Put u, c, -3/2 in decreasing order. c, u, -3/2 Let h = -35.2 + 41. Let t = 1.683 + 0.117. Let j = h - t. Sort 5, 0.5, j in descending order. 5, j, 0.5 Let p = 47 - 40. Let g = 34 - 101/3. Put p, g, -0.5 in ascending order. -0.5, g, p Let t be (-319)/88 + 0 + 4. Let g = 16 + -20. Sort -4/3, t, g in increasing order. g, -4/3, t Let z(o) be the third derivative of -o**5/60 + o**4/6 - o**3 + 3*o**2. Let i be z(5). Let x be i/(-15) - (-2)/(-5). Put x, -2/5, 0.3 in increasing order. -2/5, 0.3, x Let g = 6 - 5.5. Let k = -594/7 - -85. Put g, k, 2, -4 in ascending order. -4, k, g, 2 Let s = 28.63 + -28.53. Suppose 30 = -b - 4*b. Let r = -10 - b. Sort -6, r, s in decreasing order. s, r, -6 Suppose 0 = -9*m + 225 - 81. Put m, 4, 0 in decreasing order. m, 4, 0 Let y = -4 - -9. Suppose 5*c - 10 = y. Sort -18, c, -4 in ascending order. -18, -4, c Let m = 1.57 - 3.63. Let w = m + 1.9. Let b = w + 0.56. Put 2, -2/13, b in decreasing order. 2, b, -2/13 Let l = -46 + 35. Let h = -7 - l. Sort 2, h, 10 in descending order. 10, h, 2 Let x = -19 - -18.4. Let h = -1 + -3. Put h, x, -1 in descending order. x, -1, h Let y = 37 + -29. Suppose -4*t - 4*o = -4 - 12, -2*o + 4 = -2*t. Let f be (-230)/110 + 1 + t. Put f, y, 3/5 in decreasing order. y, 3/5, f
Simplify (-5*(1 + -3 + sqrt(19)) - (sqrt(684) + 2 - ((-2 + sqrt(2736) + sqrt(2736) - sqrt(2736)) + sqrt(19))))**2. 24*sqrt(19) + 112 Simplify (6*sqrt(110)*1*4)/(-2*2*sqrt(250)). -6*sqrt(11)/5 Simplify -3 + 3 + 2*(sqrt(304) + 4) + 4. 12 + 8*sqrt(19) Simplify (((2*sqrt(117)*5 + sqrt(117) + sqrt(117))/sqrt(9) - (sqrt(1053) - (sqrt(1053) - -1*sqrt(1053)))*-3) + 2)**2*3. -180*sqrt(13) + 8787 Simplify (-3*(sqrt(66) + sqrt(66)*-4)*2)/((sqrt(36) + sqrt(216)/sqrt(96))/sqrt(6)). 72*sqrt(11)/5 Simplify (1 + 4*2*sqrt(432)*1 + 4)**2. 960*sqrt(3) + 27673 Simplify (-5*5*sqrt(200)*-4*1)**2. 2000000 Simplify 2*((-2 + sqrt(1573) - sqrt(1573))*-2 + sqrt(1573) - sqrt(1573) - ((sqrt(13) - sqrt(39)/sqrt(3)*3) + 4))**2. 104 Simplify 6*sqrt(152)/sqrt(72) - (1 + sqrt(57)/(sqrt(3) - sqrt(192))). -1 + 15*sqrt(19)/7 Simplify 1 + 0 + -3 + sqrt(7)*2 + sqrt(7) + (sqrt(441)/sqrt(7))**2 + 3. 3*sqrt(7) + 64 Simplify (sqrt(63)/(sqrt(63)/sqrt(81)))/(sqrt(3) + -2*sqrt(192) + sqrt(162)/sqrt(6)). -sqrt(3)/4 Simplify (sqrt(190)/(sqrt(40)/sqrt(4)*-1) + 4)**2*5. -40*sqrt(19) + 175 Simplify -3 + sqrt(96)/(sqrt(2) + sqrt(6)/sqrt(3)) - ((sqrt(54)/sqrt(6))/sqrt(3) - ((sqrt(3) - (sqrt(27)*5 - sqrt(3))) + sqrt(3))). -11*sqrt(3) - 3 Simplify (1 + (sqrt(931) - -2*sqrt(931)*-2)*1)**2. -42*sqrt(19) + 8380 Simplify (-6*(0 + sqrt(192)/sqrt(4)))**2 - (sqrt(192) + -1 + sqrt(3) + -1*sqrt(147) + sqrt(147) + -3)**2. 72*sqrt(3) + 1469 Simplify 1 + sqrt(77)/((sqrt(70) + sqrt(70) + -1*sqrt(70))/sqrt(10)) + ((sqrt(396)*-1)**2 - (-1 + sqrt(891))**2). -495 + 19*sqrt(11) Simplify ((-4*-4*sqrt(85)*2)/(1*sqrt(180) + sqrt(180) + (sqrt(5) - (sqrt(245)*1 + sqrt(245) + sqrt(245) + sqrt(5)))))**2. 17408/81 Simplify (-5*(sqrt(1225) - sqrt(49)) + (-2*sqrt(147) + sqrt(147))/sqrt(3))/(-5*sqrt(63) - (sqrt(448) - (sqrt(448)*2 + sqrt(448)))). -21*sqrt(7) Simplify 3 + (1*sqrt(1377)*3 - ((4 + sqrt(1377))*-3 + sqrt(1377)))**2. 1080*sqrt(17) + 34572 Simplify (1*(2 + sqrt(171)*2) - ((sqrt(171) - (sqrt(171) - (-1 + sqrt(171))))*-2 - (-2*sqrt(171) + 4)))**2. 48*sqrt(19) + 700 Simplify (4*sqrt(396))**2*-1 - (4*(-1 + sqrt(1584)))**2. -31696 + 384*sqrt(11) Simplify 2 + 3*(0 + 2*sqrt(567) + sqrt(567))*1. 2 + 81*sqrt(7) Simplify ((-5*(sqrt(1053) + 1*sqrt(1053) + sqrt(1053) + sqrt(1053)))**2 + -1 + 1)*-1. -421200 Simplify (6*((-1 + sqrt(153) - sqrt(153)) + sqrt(153) + -1)**2 - (3 + 2*sqrt(153) + 4*1*sqrt(153))) + 5. -90*sqrt(17) + 944 Simplify sqrt(117)/(-2*sqrt(225)) - -4*sqrt(39)/sqrt(3)*1. 39*sqrt(13)/10 Simplify (sqrt(24)/(-1*sqrt(200)))**2 + 1 - (-5*sqrt(33)/(sqrt(275) - sqrt(11)) + 1)**2. -1827/400 + 5*sqrt(3)/2 Simplify ((sqrt(12) - sqrt(48))*4*-4)/(sqrt(576)*-1*1). -4*sqrt(3)/3 Simplify 5 + -5*(-1*sqrt(5) + 3)**2 + 1 + sqrt(5) + 1 + 0 + (sqrt(5) - (sqrt(20)/sqrt(4))**2). -68 + 32*sqrt(5) Simplify ((sqrt(80)/sqrt(4) + sqrt(20))*-6 + (sqrt(220)*-2)/sqrt(11))/((6*sqrt(96))/sqrt(6)). -7*sqrt(5)/6 Simplify sqrt(3) + (sqrt(450)/sqrt(6))**2 + -1 + sqrt(48) + 1 + (sqrt(192)*1)**2. 5*sqrt(3) + 267 Simplify ((0 + sqrt(1872) + -2 - (1*sqrt(1872) + -1))*-3*2)**2. 36 Simplify (sqrt(405)/(sqrt(144) - sqrt(9)))/(sqrt(9) + -1*(sqrt(9) + sqrt(36)/sqrt(4)) - sqrt(9)) + -3 + 1. -2 - sqrt(5)/6 Simplify 1*(-1*sqrt(70)/sqrt(2) + sqrt(175)/(sqrt(5)*2))/(4*(2*sqrt(500) - sqrt(5))). -sqrt(7)/152 Simplify ((((sqrt(14) + sqrt(70)/sqrt(5) - sqrt(14)) + sqrt(14))*5)/(sqrt(448) + sqrt(448)*-2) + 3)**2. -15*sqrt(2)/2 + 97/8 Simplify -1 + (4 + sqrt(468) + sqrt(468)*-2 + -2 + 6*(1 + sqrt(468)))**2 + -3. 480*sqrt(13) + 11760 Simplify ((sqrt(1377) + sqrt(1377) + -1 - sqrt(1377)) + sqrt(17)*1 + 4)**2 - (4*-2*sqrt(68))/(sqrt(44)/(sqrt(44)/sqrt(4))). 68*sqrt(17) + 1709 Simplify 0 + (3*(5 + ((1 + sqrt(832) - sqrt(832)) + -4 - sqrt(832))))**2 + -5. -288*sqrt(13) + 7519 Simplify (4*(-3*sqrt(180))/sqrt(4))**2 + -1. 6479 Simplify 4 + sqrt(110)/sqrt(10) + -5 + -6*(sqrt(66)/sqrt(6) - sqrt(11)). -1 + sqrt(11) Simplify ((sqrt(405) - -3*sqrt(405)) + -3 + 5 - ((sqrt(405) + -1*sqrt(405))*-3 + sqrt(405) + (6*(1 + sqrt(405)) - sqrt(405))))**2. 144*sqrt(5) + 1636 Simplify (-6*(sqrt(88) + 4*(sqrt(88) + sqrt(88) + sqrt(88) + sqrt(88)*-2)))/(sqrt(392) + 3*sqrt(392)*-1). 15*sqrt(11)/7 Simplify (6*sqrt(108))/(sqrt(729)*1) + -2 + sqrt(3)*-2 + 6*(sqrt(147))**2. -2*sqrt(3)/3 + 880 Simplify ((sqrt(6897) + (sqrt(6897) - sqrt(6897)*-1))*-2)/((sqrt(297)/(sqrt(11)*2))/sqrt(9)). -132*sqrt(19) Simplify ((sqrt(637) - ((sqrt(637) + 0)*3)**2) + 5 + 1 + (sqrt(637) + 1 + sqrt(637) + -1)**2)*4. -12716 + 28*sqrt(13) Simplify (sqrt(5) + sqrt(5) + sqrt(15)/sqrt(3) + 2)**2*1 + (sqrt(720) + 0)**2 + 0. 12*sqrt(5) + 769 Simplify ((1 + sqrt(72) + -2 + -1)*-4)**2. -384*sqrt(2) + 1216 Simplify ((-4*sqrt(40)/sqrt(2)*5)/(sqrt(28)/(sqrt(28) + sqrt(448)))*2)**2. 800000 Simplify (sqrt(255)/(sqrt(180) - (sqrt(180) - (sqrt(180) - -2*sqrt(180)) - sqrt(180))))/((1*sqrt(96))/sqrt(2)). sqrt(17)/96 Simplify -3*-4*4*(sqrt(468)*-2 + 3 + 3). -576*sqrt(13) + 288 Simplify (sqrt(162)/sqrt(3)*2)/(-6*2*sqrt(72)). -sqrt(3)/12 Simplify -4*(6*(2 + sqrt(44))**2 + (sqrt(44) - -4*sqrt(1100))**2)*5. -393840 - 960*sqrt(11) Simplify -1*3*((sqrt(162) - (sqrt(162)*-2 + sqrt(162) - sqrt(162)))/sqrt(9) + 2). -27*sqrt(2) - 6 Simplify (-5 + (-6*(sqrt(130) + -3*sqrt(130) - sqrt(130)))/((sqrt(90) + 1*sqrt(90) + sqrt(90) - sqrt(10)) + sqrt(10)))**2. -20*sqrt(13) + 77 Simplify (sqrt(204) - (sqrt(204) - -1*sqrt(204)*4))/((-3*sqrt(132) + sqrt(132))/sqrt(11)). 2*sqrt(17) Simplify (sqrt(1331) + 1 - sqrt(1331))*3 + -1 + -6*(sqrt(1331) + 0 + sqrt(1331))*-1. 2 + 132*sqrt(11) Simplify ((sqrt(30) - ((sqrt(360) + 4*sqrt(360))/sqrt(12) - sqrt(30)))/(sqrt(10) - -3*(sqrt(10) + sqrt(250) + sqrt(10))))**2. 27/484 Simplify -4*((sqrt(1300) - sqrt(1300)*1)**2 + sqrt(1300)) + (sqrt(52))**2 + 1 + 1. -40*sqrt(13) + 54 Simplify (sqrt(7) + (sqrt(7) - sqrt(35)/sqrt(5)))**2*6 + -1 + sqrt(7) + 1 - sqrt(84)/(sqrt(12) + 3*(sqrt(12) + -3*sqrt(12) + sqrt(12))). 3*sqrt(7)/2 + 42 Simplify 3 + 6*(-1 + sqrt(99) + 5 + sqrt(11) + -5 + sqrt(33)/sqrt(3)). -3 + 30*sqrt(11) Simplify 5*((1 + sqrt(252))**2 + sqrt(252) + sqrt(252) + 0) + -3. 120*sqrt(7) + 1262 Simplify 2*(-1 + sqrt(11))*2 + 3 + (sqrt(396)*-2*-6*-1)**2. 4*sqrt(11) + 57023 Simplify (sqrt(14) - (sqrt(224) - sqrt(224)*-5 - sqrt(14)))/(sqrt(4032)/sqrt(9)). -11*sqrt(2)/4 Simplify (5 + (sqrt(2299) - (sqrt(2299) + sqrt(2299) + 2 + -3 + sqrt(2299)) - (sqrt(2299) - -1*sqrt(2299))*1) + 4)**2 + -3. -880*sqrt(19) + 36881 Simplify (4 + 2*sqrt(343)*-4*6)**2. -2688*sqrt(7) + 790288 Simplify (-2*(sqrt(88) + sqrt(88) + (sqrt(88) - (sqrt(88) - -2*sqrt(88)))))/(sqrt(96)/sqrt(3)). 0 Simplify (-5 + 0 + sqrt(2) + sqrt(24)/sqrt(3) + sqrt(2) + sqrt(2)*-1*-5)**2. -90*sqrt(2) + 187 Simplify (((sqrt(700)*-2*2 - (sqrt(700) - (-2*sqrt(700) + 1))) + -6*(0 + sqrt(700))*4)*5)**2. -15500*sqrt(7) + 16817525 Simplify (-2 + 0 + sqrt(1216))**2 + (sqrt(2736)*1)**2 + ((sqrt(19) + 1*sqrt(19))*3)**2. -32*sqrt(19) + 4640 Simplify (4*sqrt(704)*-6 - ((sqrt(132) - (2*sqrt(132)*-1 + sqrt(132))) + sqrt(132))/sqrt(3))**2. 431244 Simplify (-3*((sqrt(140) - 2*sqrt(140)) + sqrt(140))/sqrt(5))/(sqrt(64) + (sqrt(64)*2 - sqrt(64))*-2). 0 Simplify ((3 + 2 + sqrt(1539))*4)**2*6. 8640*sqrt(19) + 150144 Simplify ((4 + sqrt(12)/(-2*sqrt(6))*1 + -2)*5*-5)**2. -1250*sqrt(2) + 5625/2 Simplify (2*sqrt(128))**2*-4 + (sqrt(128) - sqrt(128)*1 - sqrt(128))**2*3 + -5. -1669 Simplify (-3 + -1 + sqrt(539) + 2 + 2*sqrt(539))*1. -2 + 21*sqrt(11) Simplify (-6*sqrt(528)*1)/(sqrt(192) + (sqrt(192) + -1*sqrt(192))*-5 + sqrt(192) - sqrt(192)). -3*sqrt(11) Simplify (6*(-1 + 2 + sqrt(108) - sqrt(108))*-6*4*-1)**2. 20736 Simplify (-2*sqrt(405)*1*6)/(4*sqrt(81)*2 + sqrt(81)). -4*sqrt(5)/3 Simplify sqrt(117)/(-5*sqrt(81) + sqrt(9)) - (6*(sqrt(325) + (sqrt(325) - (sqrt(325) + -1))))**2. -11736 - 5041*sqrt(13)/14 Simplify (sqrt(63) - sqrt(1008)*5)/((1*sqrt(81) + sqrt(81))/sqrt(9))*1. -19*sqrt(7)/2 Simplify (((sqrt(68) - (sqrt(68) + sqrt(68)*2 + sqrt(68)))*3 - (-4*2*sqrt(204))/sqrt(12))*-1)**2. 1700 Simplify (sqrt(171)/(sqrt(9) - (sqrt(9) - sqrt(81) - sqrt(9))*-1))**2 + -1 + -3 + sqrt(76)/sqrt(4) + (-1*sqrt(2736))**2. sqrt(19) + 10947/4 Simplify (sqrt(165)/(sqrt(132)/(-1*sqrt(12))))/(sqrt(60)/((sqrt(12) - sqrt(108))*-5 + sqrt(12))). -11*sqrt(3) Simplify -6*((-2 + sqrt(405))*1 + (-3 + sqrt(405))*-2)**2. -2526 + 432*sqrt(5) Simplify (6*sqrt(153)*5)/(sqrt(1089)*3). 10*sqrt(17)/11 Simplify (-3 + (-2 + sqrt(1900) + -1 + sqrt(1900) + sqrt(1900) + sqrt(1900) + sqrt(1900) - sqrt(1900))**2*-6)*4. -729828 + 5760*sqrt(19)
Suppose -83 = 5*f - 763. What is the third derivative of 106*h**2 - 44*h**2 + 131*h**2 + f*h**3 wrt h? 816 What is the second derivative of -334*m + 1230*m - 10*m**2 - 5*m**3 + 1369*m + 20*m**3 + 31*m**3 wrt m? 276*m - 20 Let q = -4 - -22. Let w(j) be the first derivative of -26 - 6 + q*j**4 - 16*j**4 - 10*j. What is the first derivative of w(z) wrt z? 24*z**2 Find the third derivative of -4218*b**3 - 1296*b**2 - 50 + 19 + 13 + 16 wrt b. -25308 Let t(w) = -w**2 + 3*w - 2. Let g(z) = -472*z**2 - 21*z + 321. Let d(a) = 3*g(a) + 21*t(a). What is the first derivative of d(o) wrt o? -2874*o Let x(w) be the second derivative of -129*w - 33/2*w**2 + 32/3*w**3 + 0. Differentiate x(g) wrt g. 64 Suppose 6*w - 4*d = 11*w - 455, 182 = 2*w - d. Suppose -15*k = -2*k - w. Find the first derivative of -88*j + 32*j**3 + 88*j + k wrt j. 96*j**2 Let s(i) = 2640*i**2 + 11*i + 16. Let v(d) = 7920*d**2 + 31*d + 44. Let m(p) = 8*s(p) - 3*v(p). What is the second derivative of m(q) wrt q? -5280 Let s = -428 - -557. What is the derivative of 39 - 83 - s - 3*a + 14*a wrt a? 11 Differentiate 4342*z**3 - 2999*z**3 + 4025*z**3 - 2497 wrt z. 16104*z**2 What is the third derivative of -86*r**6 + 7364*r**2 - 8827 + 204*r**3 + 74*r**6 + r + 8827 - 2*r**4 wrt r? -1440*r**3 - 48*r + 1224 Suppose -3*r + 6*z - 9*z + 168 = 0, -5*r = z - 284. What is the derivative of -50 - 212*d**3 + 20*d**2 + 17*d**2 + 20*d**2 - r*d**2 wrt d? -636*d**2 Let x(f) be the second derivative of -7*f**6/30 + 3*f**3/2 - 82*f**2 + 101*f + 12. Find the first derivative of x(t) wrt t. -28*t**3 + 9 Let a(l) be the third derivative of 0*l - 71/24*l**4 + 56*l**2 - 29/3*l**3 + 0. Find the first derivative of a(q) wrt q. -71 Let a(k) = -19*k**2 + 1990. Let u(i) = 76*i**2 - 3979. Let w(c) = -5*a(c) - 2*u(c). What is the first derivative of w(j) wrt j? -114*j Let z(o) be the second derivative of o**6/5 - 491*o**4/12 - 801*o**2/2 + 4072*o. Find the first derivative of z(n) wrt n. 24*n**3 - 982*n Let g(f) be the third derivative of -1 + 7/15*f**7 - 56*f**2 + 0*f + 0*f**6 + 0*f**3 + 0*f**5 - 7/4*f**4. What is the second derivative of g(c) wrt c? 1176*c**2 Let f(h) be the second derivative of 3637*h**4/6 - 3717*h**2 - 277*h + 1. Find the first derivative of f(z) wrt z. 14548*z Let y(n) = 37*n**3 - 688*n**2 + 3800*n - 10. Let g(m) = -7*m**3 + m**2 - m + 2. Let q(u) = 5*g(u) + y(u). What is the second derivative of q(k) wrt k? 12*k - 1366 What is the second derivative of 88*g**2 - 4608*g**3 - 92*g**2 + 4790*g**3 - 3349*g wrt g? 1092*g - 8 Find the second derivative of 208*h - 287*h + 5*h**2 + 1327*h + 2*h**3 - 2*h**2 + 3*h**2 wrt h. 12*h + 12 Let w(p) be the second derivative of -793*p**5/10 - 257*p**4/2 - 3*p + 587. What is the third derivative of w(s) wrt s? -9516 Let f(q) be the third derivative of -q**6/120 + q**5/6 + q**4/12 - 13*q**3/6 - 16*q**2. Let y be f(10). Differentiate -1 + 3 - 3 - y*k - 4 wrt k. -7 Let d be (-17)/(-68) + 229/(-4). Let o = d - -59. What is the third derivative of 9*t**4 + 7*t**4 - 12*t**2 - 7*t**2 + 3*t**o wrt t? 384*t Let w(g) = g**2 - 3*g - 1. Let d be w(4). Suppose -a = 2*l - 4, -l - 8 = -5*a + d*a. Differentiate -7 + 5*z**4 - 16*z**a - 9*z**4 - 6*z**4 wrt z. -104*z**3 What is the third derivative of 4290*g + 4419*g - 2*g**2 - 528*g**3 - 8911*g wrt g? -3168 What is the first derivative of 24982 - 559*d - 23*d - 1690*d - 21527 wrt d? -2272 Differentiate -293*z**3 + 233*z**3 - 1202 - 387*z**3 - z**2 wrt z. -1341*z**2 - 2*z Suppose 6*s = 28*s - 44. Find the second derivative of 12*a**4 + 833*a**2 + 8*a - 1665*a**2 + 832*a**s wrt a. 144*a**2 Let b = 84 - 79. Let c(k) = -k**2 - 29*k - 51. Let j be c(-27). What is the derivative of -j - b*h + 14 + 0*h wrt h? -5 Let s be (-3 + -1 - -6) + (23 - 1). Suppose -2*m = m - s. Find the second derivative of 1042 + 32*f**3 - 1042 + m*f wrt f. 192*f Let g = -6021 - -6021. Let p(u) be the first derivative of 23 - 3*u**3 + 11/2*u**2 + g*u. What is the second derivative of p(a) wrt a? -18 Let z(v) be the first derivative of -2*v**5/5 - v**4/2 - 47*v**2 + 2628*v + 7736. Find the first derivative of z(f) wrt f. -8*f**3 - 6*f**2 - 94 Find the second derivative of -4 - 8087*l**5 + 2 + 521*l + 232*l + 40*l wrt l. -161740*l**3 Let g = 55 - -18. What is the second derivative of 9*q - 23*q - 2 + 4*q + g*q**3 + 7*q wrt q? 438*q Let m(c) = -c + 1. Let y(g) = -52*g + 91. Suppose j = -2*w + 9 - 15, -3*w - 3*j - 15 = 0. Let d(r) = w*y(r) + 2*m(r). Find the first derivative of d(n) wrt n. 50 What is the first derivative of -1868 - 2034 + 106 + 483*z**2 wrt z? 966*z What is the first derivative of -20*x**2 - 3336 - 5202 + 33*x + 31*x - 630 + 1250 wrt x? -40*x + 64 Let z(f) be the first derivative of -2561*f**7/7 - 390*f**3 + 2747. What is the third derivative of z(k) wrt k? -307320*k**3 Suppose 4*r + 3*q = 2673, 0 = r - q - q - 682. Find the first derivative of -23 - 4*m**4 + r*m**3 - 672*m**3 + 11*m**2 wrt m. -16*m**3 + 22*m Let m(j) = 11*j**3 - 5*j**2 - 16*j - 96. Let k be (-5)/15 - 7*4/6. Let r(y) = 5*y**3 - 2*y**2 - 7*y - 48. Let a(t) = k*r(t) + 2*m(t). Differentiate a(x) wrt x. -9*x**2 + 3 What is the second derivative of -877 - 999*u**2 - 365*u**2 + 11*u - 884 + 1754 wrt u? -2728 Let j(f) be the third derivative of -169*f**7/210 - 3*f**5/20 + 5*f**4/12 + 2*f**2 - 223. What is the third derivative of j(t) wrt t? -4056*t Let t be (-4)/((-3)/12 - (-7)/(-4)). What is the third derivative of 532*l**2 - 3*l**4 - 513*l**t + 3*l**4 - 63*l**6 - 4 wrt l? -7560*l**3 Let u = -325 + 330. What is the third derivative of -b**4 - 25*b**5 + 10*b**u + 23*b**4 + 136*b**2 + 7*b**5 + 3*b**5 wrt b? -300*b**2 + 528*b Let a = 56 + -58. Let i(t) = 53*t**3 - 2*t**2 - 2*t - 50. Let v(q) = -211*q**3 + 9*q**2 + 9*q + 201. Let n(p) = a*v(p) - 9*i(p). Differentiate n(l) wrt l. -165*l**2 Let o(h) = 233*h**4 + 6*h - 239. Let d(k) be the second derivative of -k**6/15 - k**3/3 - k**2/2 - 54*k. Let v(p) = -3*d(p) - o(p). Differentiate v(f) wrt f. -908*f**3 Find the first derivative of 1163 - 805*x - 208*x + 406 + 703 wrt x. -1013 Let v(c) = -245*c**3 + 75*c. Let j(p) = -25*p - 14*p + 20*p + 61*p**3. Let x(m) = 9*j(m) + 2*v(m). Find the second derivative of x(r) wrt r. 354*r Let d be -2*10/2*24/(-60). Find the second derivative of 2*b**5 - 2*b**2 - d*b**2 + 2*b + 8*b**5 + 2067 - 2180 wrt b. 200*b**3 - 12 Let r(p) be the second derivative of 3/2*p**2 - 23/12*p**4 + 0*p**3 + 5*p + 1. Differentiate r(o) with respect to o. -46*o Let k(b) = b**2 + 3*b - 28. Let o be k(11). What is the second derivative of -3 - 14*i**2 + 10*i**2 + 4*i**2 + o*i**4 - 21*i wrt i? 1512*i**2 Let m = -7 + 15. Let o = 3 + m. What is the second derivative of -14*f**5 - 5*f - o*f + 2*f wrt f? -280*f**3 Let o(u) be the second derivative of -41*u**6/6 - 96*u**3 + 186*u. Find the second derivative of o(b) wrt b. -2460*b**2 Suppose 2*q = 2*j + 76, 2*q - 7*j + 3*j - 68 = 0. Let v = 44 - q. Find the second derivative of -20*b + 2*b**2 - 44*b**3 - v*b**2 + 37*b**3 wrt b. -42*b Let h(c) be the third derivative of 0 + 0*c**3 + 0*c - 157/24*c**4 + 121*c**2 + 197/60*c**5. Find the second derivative of h(r) wrt r. 394 Let u(j) be the second derivative of -7339*j**8/56 + 7123*j**4/12 + 3*j - 351. What is the third derivative of u(f) wrt f? -880680*f**3 Let p = 825 - 821. Find the first derivative of -p - 27*x - 19*x - 2*x + 63*x wrt x. 15 Let k(i) be the first derivative of 979*i**4 - 15*i**3 - i**2/2 - i + 6671. Find the third derivative of k(o) wrt o. 23496 Let r = 3 + -12. Let u be (-25)/r + 2/9. Find the third derivative of u*t**2 - 19*t**3 + 21*t**3 - 15*t**2 wrt t. 12 Let y(i) be the first derivative of 0*i - 1/3*i**3 + 0*i**4 - 6/5*i**5 - 79/2*i**2 + 72. What is the second derivative of y(b) wrt b? -72*b**2 - 2 Let o(h) be the first derivative of h**5/5 - 919*h**4/2 - 245*h**3/3 - h**2 + 1865. Find the third derivative of o(j) wrt j. 24*j - 11028 Let o(t) be the second derivative of -1/6*t**3 - 12*t + 0*t**2 - 3/4*t**4 - 2. What is the second derivative of o(q) wrt q? -18 Let i(k) be the first derivative of -592*k**3/3 - 3*k**2/2 - 14*k + 822. Find the second derivative of i(w) wrt w. -1184 Let s be (8/(-14) - (-72)/28)/2. Suppose 5*b - 19 - s = -5*z, -2*b + 18 = 4*z. What is the third derivative of 4*n**2 + 5*n**2 - 4*n**5 - 5*n**z - 5*n**5 wrt n? -840*n**2 Let p be (117/(-195))/(3/(-10)). Find the third derivative of 178*b - 2 - 178*b + p*b**2 + 26*b**4 wrt b. 624*b
Simplify (-3 + -6*3*sqrt(275))**2 + -5 + (sqrt(275) + 1*(0 + sqrt(275)) - ((sqrt(275) + sqrt(275)*2)*1 + sqrt(275) + sqrt(275)))**2. 540*sqrt(11) + 91579 Simplify -3*(sqrt(12) + (sqrt(12) - ((sqrt(144)*-2)/sqrt(12) + sqrt(12) - sqrt(12))))/(sqrt(24)/(sqrt(6)*-1)) - (3*sqrt(192) + (-2 + 4*sqrt(12))**2). -196 + 20*sqrt(3) Simplify ((((-2*sqrt(440) - sqrt(440))*-6)/(-1*sqrt(44)/sqrt(4)))/((sqrt(16)/(sqrt(2)*-1) + sqrt(8) + (sqrt(648) - (sqrt(648) - sqrt(648)*1)))*-1))**2. 20 Simplify (((sqrt(324)*-2)/sqrt(9))/((-2*sqrt(99))/sqrt(11)))/(3*1*sqrt(200)*1). sqrt(2)/30 Simplify ((sqrt(125) + sqrt(125) + 0 + sqrt(125))*-6 + -6*-2*sqrt(125))**2 + (1 + sqrt(405) + (sqrt(405) + 2 - sqrt(405)) + sqrt(405) - sqrt(405))**2*5 + -1. 270*sqrt(5) + 6569 Simplify (2*(-1*(-4 + 0 + sqrt(72)) - 2*((sqrt(72) - (sqrt(72) - sqrt(72)*-1)) + 0)))**2*2. 384*sqrt(2) + 704 Simplify ((-1 + (2*((2*sqrt(108) - sqrt(108)) + sqrt(108)) - (0 + sqrt(108))*-5)*-1)*1)**2. 108*sqrt(3) + 8749 Simplify (1 + 5*(sqrt(24) + sqrt(24)*-1)/sqrt(12) + -2)**2 - (-2*(((sqrt(2) - sqrt(400)/sqrt(8)) + sqrt(2) - sqrt(2)) + 3 + -4))**2. -131 - 32*sqrt(2) Simplify 5*((2 + sqrt(304) + -1 + 5*(sqrt(304) + 0))**2 - (5*(sqrt(171) + 1 + sqrt(171))**2 + -1))*-4. -150420 + 240*sqrt(19) Simplify ((5*sqrt(187) + sqrt(187) - sqrt(187))*-5 + (sqrt(187) - 4*-3*sqrt(187)))/((-1*sqrt(308))/sqrt(7)*6). sqrt(17) Simplify (2*-5*(-2*sqrt(1470) - sqrt(1470)))/(-4*(sqrt(726)*2 + sqrt(6) + 1*sqrt(600))). -35*sqrt(5)/22 Simplify 3*(0 + (1*(sqrt(98) + -5 + -3*sqrt(98) + 4*(0 + sqrt(98)))*5)**2). -10500*sqrt(2) + 31275 Simplify 2 + sqrt(63) + 0 - sqrt(63) - (sqrt(245)/(sqrt(14)/sqrt(2)))/sqrt(5) - -6*-4*(sqrt(252)*-2)**2*2. -48382 - sqrt(7) Simplify ((sqrt(84) - 4*(sqrt(84) + sqrt(84) + 3*sqrt(84) + sqrt(84) + sqrt(84) + sqrt(84)))/sqrt(3))/(5*-4*sqrt(64)) + 0. 31*sqrt(7)/80 Simplify 4 + sqrt(864)/sqrt(8) + (-2*-2*sqrt(3))**2 - -3*-1*((-1*sqrt(9))/sqrt(3) + sqrt(6)/sqrt(2) + -2). 6*sqrt(3) + 58 Simplify ((1 + 1 + sqrt(128))*3*5)**2*-4*4*2. -950400 - 230400*sqrt(2) Simplify (3 + (sqrt(378)/sqrt(6)*3)/(sqrt(1089)*-2) + 5)*-3. -24 + 9*sqrt(7)/22 Simplify 2*(((2*sqrt(153) + sqrt(153))*5*6)/((sqrt(1089) - -2*sqrt(1089))*-2))**2. 7650/121 Simplify (sqrt(351)/(3*sqrt(441)))/(-1*sqrt(108) - sqrt(3) - sqrt(15)/(sqrt(5)*-1)). -sqrt(13)/126 Simplify (sqrt(76) + sqrt(76) + -2 + -2)*5 + (sqrt(304) + (sqrt(304) - -3*-1*sqrt(304)) + 2)**2. 4*sqrt(19) + 288 Simplify (-5*-5*4*sqrt(432)*2*-3*-2)**2. 622080000 Simplify ((2*(sqrt(228) + sqrt(228) + (1*sqrt(228) + sqrt(228))*-5 + sqrt(228))*5)/((sqrt(84)*-2*-1)/(-6*sqrt(14)/sqrt(2))))**2. 837900 Simplify (-2 + -3*(6*sqrt(180) + 4 + 4 + (6*sqrt(180) - sqrt(180)) + -1))**2. 9108*sqrt(5) + 196549 Simplify 3*((sqrt(245) + sqrt(245)*1 + sqrt(245))**2*-5*-3 + ((sqrt(245) - (sqrt(245) + 0))*-6)**2 + (2*sqrt(245))**2 + -2)*-6. -612954 Simplify -4*(-3*1*-6*(1 + sqrt(80) + sqrt(80))*-6*5)**2*1. -374414400 - 18662400*sqrt(5) Simplify (-6*(sqrt(1872) + 2)*-5)**2 + ((sqrt(104) - sqrt(104)*2*-4) + sqrt(104))/(sqrt(88)/(sqrt(99) - sqrt(11))). 43220*sqrt(13) + 1688400 Simplify (-3*(-4*sqrt(720) + -4 + -3 - ((0 + sqrt(720) + -5 - sqrt(720)) + 0)))**2. 1728*sqrt(5) + 103716 Simplify (6*-2*sqrt(324))/(sqrt(24)/(sqrt(8)*-2)*-5) + -5. -144*sqrt(3)/5 - 5 Simplify (-1*(sqrt(684) + 0)*-3)**2*2*-2*-6 + 5. 147749 Simplify (-4*6*(3 + (sqrt(567) - 2*sqrt(567))))**2 - (sqrt(84) - (sqrt(84) - -1*sqrt(84))*-6)/(-6*sqrt(192) - sqrt(12) - sqrt(12))*-2. -31105*sqrt(7) + 331776 Simplify (-6*(-5 + 5 + (2 + sqrt(768))*1)*5)**2. 57600*sqrt(3) + 694800 Simplify -2 + ((6*-1*sqrt(132) - (sqrt(132) + (sqrt(132) - sqrt(132)*-1)*-2))/(-1*sqrt(972)*-5))**2 + -5. -1564/225 Simplify (sqrt(152)*4*4 - (-5*-2*sqrt(152) + sqrt(152)))/((-3*sqrt(88)*-2)/(-3*1*sqrt(11))). -5*sqrt(19)/2 Simplify ((0 + (sqrt(891) + 3 + sqrt(891) + 0 + (sqrt(891)*-1 - sqrt(891)) + 3 - -6*(1 + sqrt(891) + -3)))*2)**2. -2592*sqrt(11) + 128448 Simplify -3*((sqrt(171)/(sqrt(4374)/sqrt(6)) - (sqrt(114)/(3*sqrt(6)) - (sqrt(19) - (sqrt(19) - (sqrt(19) + 2))*3))) + 1). -21 - 7*sqrt(19)/3 Simplify 1 + sqrt(1900) + (sqrt(1900) - (-3 + sqrt(1900) + -5 + sqrt(1900))**2) - (sqrt(57)/((sqrt(36) + sqrt(144)/sqrt(4))/sqrt(12)) + 5). -7668 + 679*sqrt(19)/2 Simplify -5 + (-3*(-5 + 3*-4*(0 + sqrt(343)) + 5))**2. 444523 Simplify (-2 + (sqrt(1331) + 1)**2 - (sqrt(1331) + sqrt(1331) + 1 + -5)) + -2 - (-3 + -3*(sqrt(396) + 1)**2*6). 216*sqrt(11) + 8481 Simplify ((-4*((-4 + 3*sqrt(1053) - (-2 + sqrt(1053))*5) + -2))**2 + 2)*6. -13824*sqrt(13) + 405900 Simplify ((3 + (6*(-4 + sqrt(432))*-3 - (0 + (sqrt(432) - (5 + (sqrt(432) - (sqrt(432) + 5)))))))*-2)**2. -136800*sqrt(3) + 646308 Simplify (5*sqrt(84)*-3 + ((sqrt(84)*1 - sqrt(84)) + sqrt(84) - sqrt(84))*-2)/(((sqrt(108) - sqrt(108)*2)*1)/(sqrt(1296)*2 - sqrt(1296))). 180*sqrt(7) Simplify 1 + (sqrt(252) + (sqrt(252) - (1 + sqrt(252) + 2 + sqrt(252))))**2 + (-2 + (sqrt(252) - ((1 + sqrt(252) - sqrt(252)) + sqrt(252)))*-1)**2 + 5. 16 Simplify 6*(-5*(sqrt(128) + -2 + -1 + sqrt(128))*-5 - (1 + sqrt(128) + -1 + 1*sqrt(128) + (sqrt(128) - (5 + 1*sqrt(128)))))**2. -322560*sqrt(2) + 1798872 Simplify (-4*((sqrt(275) - (-2 + sqrt(275))*-2) + (sqrt(275) - (2 + -1 + sqrt(275))))*6*-2*-6)**2. -12441600*sqrt(11) + 207360000 Simplify (sqrt(6) + sqrt(54)/(sqrt(9) - sqrt(441)) + sqrt(12)/sqrt(32))/(-3*(2*sqrt(3200) - sqrt(3200))). -13*sqrt(3)/1440 Simplify (-1*((-2*sqrt(931)*-6 - 1*(sqrt(931) + -1*sqrt(931) + sqrt(931))) + (-2 + (sqrt(931) - sqrt(931)*-2 - sqrt(931) - sqrt(931)))*-6) + 5)**2. 490*sqrt(19) + 23324 Simplify (6*(-4*(4*sqrt(833)*-1 + sqrt(833)) + -5*(4 + -3 + sqrt(833) + sqrt(833)))*6)**2. -181440*sqrt(17) + 4350672 Simplify -1*(sqrt(833)*-3*-5 + sqrt(833)) + 0 - (3 + (-6*(sqrt(833) + sqrt(833) + -3 + 5))**2). -120099 - 2128*sqrt(17) Simplify -2 + sqrt(4)/(4*sqrt(2)*4) + 1 + (-1 + sqrt(2) + -1*sqrt(2) + sqrt(2) - sqrt(2) - -3*sqrt(98)). -2 + 337*sqrt(2)/16 Simplify (-1 + (1 + sqrt(931))*-5 + -2)**2 + -5 + (sqrt(1900) - (sqrt(1900) + (sqrt(1900) + -1 + sqrt(1900))**2*5)) + 2. -14669 + 760*sqrt(19) Simplify (-1*2*(sqrt(65)*3 - sqrt(65)))/(sqrt(10)/(-5*sqrt(6)/sqrt(3))). 20*sqrt(13) Simplify 5 + -2*(-3*(0 + sqrt(343) + 4) - ((sqrt(343) - -6*(sqrt(343) + 0)) + -1)) + -5. 22 + 140*sqrt(7) Simplify 4*(-3 + (sqrt(48)/(2*sqrt(2)) - (sqrt(24) - (sqrt(24)*1 + sqrt(24)))*-3)/(sqrt(88)/(sqrt(99)/(sqrt(9) + -1*sqrt(9) - sqrt(9))))). -12 + 10*sqrt(3) Simplify 1*-5*((2*sqrt(100))/sqrt(5))/(2*sqrt(40))*4*-5. 50*sqrt(2) Simplify -5 + 1 + -3*(-5*(0 + 1 + -1*sqrt(1700)))**2. -127579 + 1500*sqrt(17) Simplify ((4*sqrt(66)*2)/sqrt(11))/(((sqrt(243) - (1*sqrt(243) + sqrt(243) + sqrt(243) - sqrt(243) - sqrt(243))) + sqrt(243) - sqrt(27))/sqrt(9)) + 0. 4*sqrt(2) Simplify (-5*(sqrt(104) + sqrt(104)*1*2)*1)/((sqrt(288)/(sqrt(18)/sqrt(3)))/((-2*sqrt(12) - sqrt(12))/sqrt(2))). 45*sqrt(13) Simplify (((sqrt(1275)*-1)/(sqrt(3) - sqrt(96)/sqrt(2)))**2*5 + -5 + -4)*-4. -8176/9 Simplify 1 + ((sqrt(171) + ((sqrt(171) - (-4 + sqrt(171))) + sqrt(171) - sqrt(171)) + sqrt(171) + -5)*-4 + (-2 + sqrt(171)*-4)*-2)**2*-5. -319 Simplify 3 + (((sqrt(612) + -1 + 1 - -5*(-1 + sqrt(612))) + 2 + sqrt(612) + sqrt(612)*-1 + sqrt(612) + -5)*4)**2 + 0. -10752*sqrt(17) + 480835 Simplify ((-2*sqrt(243) + 2)**2 - (-1 + (sqrt(3) - sqrt(21)/(-1*sqrt(7))))) + (-5 + -1 + 5*(2 + sqrt(147)))**2. 206*sqrt(3) + 4668 Simplify (sqrt(117)*1*-4 - (sqrt(117) - (sqrt(117) + 2*sqrt(117) + sqrt(117)))*4)/(2*(sqrt(81) + (sqrt(81) - sqrt(81)*1))*-6). -2*sqrt(13)/9 Simplify (-1 + ((1 + sqrt(153) + 0 + (-1*sqrt(153) - sqrt(153) - sqrt(153))*1)*-6 - ((sqrt(153) + -2*(sqrt(153) + sqrt(153)*2))*1 + 5)))**2. -1224*sqrt(17) + 44361 Simplify (2*((3 + -2*sqrt(425) - sqrt(425))*4 + ((-1 + sqrt(2057) - sqrt(17)) + sqrt(17) - (sqrt(102) - sqrt(102)*-3)/sqrt(6))))**2. -4664*sqrt(17) + 191496 Simplify -4 + ((-3 + 3*sqrt(720)*1)**2*-3 + 0)*-2. -1296*sqrt(5) + 38930 Simplify ((-4*(sqrt(136) + sqrt(136)*-1*-5)*-3)/((sqrt(1296) - (sqrt(1296) - sqrt(1296)*-1))/(sqrt(14)/(-2*sqrt(7) + sqrt(7) - sqrt(7)))))**2. 272 Simplify 3*(-2*3*(sqrt(700) + -5) + -4 + (sqrt(700) - (-4*sqrt(700) + -3))). -30*sqrt(7) + 87 Simplify (5 + (-4*(-3 + sqrt(1331))*6 - (sqrt(1331) + -2 + -1 + 0)) + 3)**2. -45650*sqrt(11) + 838764 Simplify ((sqrt(171)/sqrt(3)*-5*-5)/(sqrt(48)*2*3 - sqrt(48)) + -3)**2. -15*sqrt(19)/2 + 619/16 Simplify ((sqrt(170)*-1)/sqrt(5))/(sqrt(288) + -1*sqrt(288) + sqrt(288)) - (sqrt(850)*-1)/(sqrt(8)/(-1*sqrt(4))). -61*sqrt(17)/12
Sort 869826, 5, 1. 1, 5, 869826 Sort 3, 1, 21, 2066590, -2 in descending order. 2066590, 21, 3, 1, -2 Put 2407/2, -3/5, 3/11, -2/5, -8 in decreasing order. 2407/2, 3/11, -2/5, -3/5, -8 Sort -109/1318, 0, 925 in decreasing order. 925, 0, -109/1318 Sort 0.08, -8816, -12 in increasing order. -8816, -12, 0.08 Put -0.2, -0.3, -8/5, 9/5960 in descending order. 9/5960, -0.2, -0.3, -8/5 Put 4, -69, -0.04617, 0.6 in descending order. 4, 0.6, -0.04617, -69 Sort -3133, 2/3, -4, 5, -0.4, 17 in increasing order. -3133, -4, -0.4, 2/3, 5, 17 Sort -3, 12, -1, -4, -2, 1, -45 in decreasing order. 12, 1, -1, -2, -3, -4, -45 Sort 361, -0.4, -24, -21, -0.1, 5 in increasing order. -24, -21, -0.4, -0.1, 5, 361 Put 4, 0.4, 20, 34/251, 3/2, -4, 3 in decreasing order. 20, 4, 3, 3/2, 0.4, 34/251, -4 Sort -9, 43128, -5 in decreasing order. 43128, -5, -9 Sort -2, -1, -4, 4, 757, -2456, -3 in decreasing order. 757, 4, -1, -2, -3, -4, -2456 Sort -1321, 0.5, -6147. -6147, -1321, 0.5 Sort -212, 0.1, -3, -22775, -1. -22775, -212, -3, -1, 0.1 Sort 22, 9, 0, -23, -58, -15. -58, -23, -15, 0, 9, 22 Put 7, 125, 80, -11, 1, 4 in decreasing order. 125, 80, 7, 4, 1, -11 Put 4, 2, -4, -131, 5, -5, -235 in ascending order. -235, -131, -5, -4, 2, 4, 5 Sort -83313/4, -3, 5 in decreasing order. 5, -3, -83313/4 Sort 1, 1/43, 11, 0.052, 4/7, 5 in descending order. 11, 5, 1, 4/7, 0.052, 1/43 Sort 10, -83, -172, 2, 4, 3, -6 in descending order. 10, 4, 3, 2, -6, -83, -172 Put -1, 568175, 0, -2, -3 in increasing order. -3, -2, -1, 0, 568175 Sort 2, -0.1, 5/608, 1.173, 1/5 in descending order. 2, 1.173, 1/5, 5/608, -0.1 Sort 1, 65, -25, -1005 in increasing order. -1005, -25, 1, 65 Sort 0.1, 4, 2.17, 0.43. 0.1, 0.43, 2.17, 4 Sort -43.4, -89213, 1/2 in ascending order. -89213, -43.4, 1/2 Sort 517, 4, 2/28727 in ascending order. 2/28727, 4, 517 Sort 63, 2, 10, -32, -3, -4 in descending order. 63, 10, 2, -3, -4, -32 Sort 2.8843, 0.3, -4, 0.4, -1/12 in decreasing order. 2.8843, 0.4, 0.3, -1/12, -4 Put 367, 1, 1596523 in increasing order. 1, 367, 1596523 Sort 0.011, 25, -0.0694 in descending order. 25, 0.011, -0.0694 Sort -51, -5, -14, 2, -48, -1. -51, -48, -14, -5, -1, 2 Put -1424, -1/15, -5, 116/5 in decreasing order. 116/5, -1/15, -5, -1424 Put 5, -1, 7, 1, 301, -5, 216 in descending order. 301, 216, 7, 5, 1, -1, -5 Sort 1, 0.24, 16.5, 514 in increasing order. 0.24, 1, 16.5, 514 Sort 0.069, 3/8, 52, -0.64 in decreasing order. 52, 3/8, 0.069, -0.64 Put 45, 743, -1/4, 5, 0.5 in descending order. 743, 45, 5, 0.5, -1/4 Sort 8/5, -1, -19/172, -1/2 in increasing order. -1, -1/2, -19/172, 8/5 Sort -5, 1, -535266 in increasing order. -535266, -5, 1 Put 641, -47, 0, 5 in decreasing order. 641, 5, 0, -47 Put 0.1, -4.13, -15/37 in increasing order. -4.13, -15/37, 0.1 Sort 0, 4/11, 167.977. 0, 4/11, 167.977 Sort -2189, -107, -2, 1, -1 in descending order. 1, -1, -2, -107, -2189 Put -6, 0, 5, -2, 1593, -1, 146 in increasing order. -6, -2, -1, 0, 5, 146, 1593 Sort 142, -3, 0, 3, -2, -5, 39. -5, -3, -2, 0, 3, 39, 142 Sort -352, 5595, -5, 3. -352, -5, 3, 5595 Put 27.2, 0, -5, 1903 in ascending order. -5, 0, 27.2, 1903 Sort 1/12, -25, 3, 1139/3. -25, 1/12, 3, 1139/3 Sort -2, -16, 4, 2, 25, -1, 3189 in decreasing order. 3189, 25, 4, 2, -1, -2, -16 Sort -4, -1, 2, 1, 5, 282, 115. -4, -1, 1, 2, 5, 115, 282 Sort -15, -1414, 0, -8, 3, -1. -1414, -15, -8, -1, 0, 3 Sort 200, 167, 52, 5. 5, 52, 167, 200 Put 0, -181, 3, 1, -1, -138 in ascending order. -181, -138, -1, 0, 1, 3 Sort -1/32, 2.4, 3.9 in decreasing order. 3.9, 2.4, -1/32 Put -23, 216, 873 in descending order. 873, 216, -23 Sort -3, -32742, 1, 2, -4 in ascending order. -32742, -4, -3, 1, 2 Put 5, -5, 9, 3, -77, 14, -2 in descending order. 14, 9, 5, 3, -2, -5, -77 Sort -0.4, 347554, 2/17, 188 in ascending order. -0.4, 2/17, 188, 347554 Sort -5.48, 1/9, 0, -698/9 in decreasing order. 1/9, 0, -5.48, -698/9 Sort -7, -23, -17, -0.14, 0.41. -23, -17, -7, -0.14, 0.41 Sort -4, -11100172, -1 in descending order. -1, -4, -11100172 Sort -2/7, -4, -5, 1, -292, 3/2 in descending order. 3/2, 1, -2/7, -4, -5, -292 Sort 1, -4, 29, -2, -32, 31 in increasing order. -32, -4, -2, 1, 29, 31 Sort 3068, -4, -5, 5, -25. -25, -5, -4, 5, 3068 Put -7, -1, 2, 89, -3, -6, 87 in decreasing order. 89, 87, 2, -1, -3, -6, -7 Sort -436, -154, -2, 6 in decreasing order. 6, -2, -154, -436 Put 21666, 548, -5 in increasing order. -5, 548, 21666 Sort 104, -7, 5, 2, 4, 57, -1. -7, -1, 2, 4, 5, 57, 104 Put -3, 2, -285, 0, -4, 38 in increasing order. -285, -4, -3, 0, 2, 38 Put -3, -2, -26626, -4 in ascending order. -26626, -4, -3, -2 Sort 1, 5, -437, -217 in ascending order. -437, -217, 1, 5 Put -5, 2, 2370, -3, -261 in decreasing order. 2370, 2, -3, -5, -261 Sort -3/4, -0.0626716, -4/7 in ascending order. -3/4, -4/7, -0.0626716 Put -1, 5, 4, 7, 31, -19, -16 in increasing order. -19, -16, -1, 4, 5, 7, 31 Put -0.3, 1530515, -5, 28 in ascending order. -5, -0.3, 28, 1530515 Put 4, 0, 5, 9024, -1, -2, 3 in ascending order. -2, -1, 0, 3, 4, 5, 9024 Put -5, 14779, -124, -2, -1 in decreasing order. 14779, -1, -2, -5, -124 Put 0.34, 2/31, -4, -0.1, 4/77 in decreasing order. 0.34, 2/31, 4/77, -0.1, -4 Sort 0, -2387663, 5. -2387663, 0, 5 Sort -162, -14, -5, -2, -546 in decreasing order. -2, -5, -14, -162, -546 Put -10, 46, -8, -0.5, 2, -1/7 in ascending order. -10, -8, -0.5, -1/7, 2, 46 Sort 0, -528, 8, -74, -6 in descending order. 8, 0, -6, -74, -528 Sort 2, 1409, -7, -2843, 4, -2, 0 in descending order. 1409, 4, 2, 0, -2, -7, -2843 Put -94.9, -4, -1/7, -2/729 in ascending order. -94.9, -4, -1/7, -2/729 Sort 10, 7/20, -3/20, 0.1, -4 in descending order. 10, 7/20, 0.1, -3/20, -4 Sort -2/59, 4/9, 1, 73, 0, 58, 0.4 in increasing order. -2/59, 0, 0.4, 4/9, 1, 58, 73 Put -112006, 2, 103, 3 in decreasing order. 103, 3, 2, -112006 Sort -1, 0, 21, 200120 in decreasing order. 200120, 21, 0, -1 Sort 0, -3/2, 5, 4, 78159. -3/2, 0, 4, 5, 78159 Sort 4, 5, -5, 10019, -55 in descending order. 10019, 5, 4, -5, -55 Put -6, -7/6, -9, -0.1, -217 in descending order. -0.1, -7/6, -6, -9, -217 Sort 260, -6, 2, 1, 4 in descending order. 260, 4, 2, 1, -6 Sort -1/4, 2/13, 0.2, -12013, 4/7. -12013, -1/4, 2/13, 0.2, 4/7 Sort 6.3, -2, -0.64, -3, 2, -3.4. -3.4, -3, -2, -0.64, 2, 6.3 Put 0, 5, 117, -1199, 9, 2 in descending order. 117, 9, 5, 2, 0, -1199 Put -680853, -5, -1/7, -4, 4 in descending order. 4, -1/7, -4, -5, -680853 Sort 0, 3627323, 5, 6. 0, 5, 6, 3627323 Put 84, 1, 9995, -4 in increasing order. -4, 1, 84, 9995 Put -4, -7, 0, 51, 7595, 1 in decreasing order. 7595, 51, 1, 0, -4, -7 Put -10/9, 4/3, 317, 0.3, -23/2 in increasing order. -23/2, -10/9, 0.3, 4/3, 317 Sort 29, 4, 24, 7, 252 in descending order. 252, 29, 24, 7, 4 Put -2, 3, -5, 23, -4, -104945 in increasing order. -104945, -5, -4, -2, 3, 23 Sort 0, 10, 4, 7, -31, -4, 1. -31, -4, 0, 1, 4, 7, 10 Sort 1, -1, -4, -8, 2, 2788 in descending order. 2788, 2, 1, -1, -4, -8 Put 42, -15, 80 in increasing order. -15, 42, 80 Put -3/5, 13, 6/31, 3, 3/77, 5/6 in ascending order. -3/5, 3/77, 6/31, 5/6, 3, 13 Put -5, 1577, 5, 3, -4, 6, 4 in increasing order. -5, -4, 3, 4, 5, 6, 1577 Put -768696, 26, 17 in ascending order. -768696, 17, 26 Put 608, -26301, 9 in decreasing order. 608, 9, -26301 Sort 261, 66, 2 in descending order. 261, 66, 2 Put 2, -5, -2/77, 3/4, 5, 139, 5/3 in decreasing order. 139, 5, 2, 5/3, 3/4, -2/77, -5 Sort -1824, -1, 41, 3, 10, -15. -1824, -15, -1, 3, 10, 41 Sort -3, 1562, -1, -7263 in decreasing order. 1562, -1, -3, -7263 Put -141, 0, 1, 33415, 3 in ascending order. -141, 0, 1, 3, 33415 Put -34, 30, 11610, 0 in increasing order. -34, 0, 30, 11610 Sort -303, 88925, 5, 1. -303, 1, 5, 88925 Put 5, 12.124, -54 in increasing order. -54, 5, 12.124 Put 20, -3, -636, 5 in increasing order. -636, -3, 5, 20 Put 4, 32296, -5, -3, -1, -4 in decreasing order. 32296, 4, -1, -3, -4, -5 Sort -0.4, 6694, 185/7 in increasing order. -0.4, 185/7, 6694 Sort -53, 128, 4615 in ascending order. -53, 128, 4615 Put -7, -1/9, -8, 6/7 in increasing order. -8, -7, -1/9, 6/7 Sort 3, 1, -104, -43, 188 in ascending order. -104, -43, 1, 3, 188 Sort 106, -3, 6574, 7, -2 in ascending order. -3, -2, 7, 106, 6574 Sort 717, -219, 0, 1 in ascending order. -219, 0, 1, 717 Sort -2, 145, -321, -39 in descending order. 145, -2, -39, -321 Sort -8770649, -1/4, 4 in ascending order. -8770649, -1/4, 4 Put -37, -3, -77, -32 in ascending order. -77, -37, -32, -3 Sort -0.3, 31224, -228, 1 in increasing order. -228, -0.3, 1, 31224 Sort 7, 16/123, -0.4, -27, -3, 2/3 in ascending order. -27, -3, -0.4, 16/123, 2/3, 7
Suppose 0 = -b + 2 + 1. Suppose 0 = z - 5*y - 33, 5*z + b*y = 2*y + 35. Calculate the remainder when 5 is divided by (12/z)/((-1)/(-2)). 2 Suppose s = -4*k + 38, 0 - 8 = -4*s. What is the remainder when k is divided by 4? 1 Let k(q) = -5*q - 12. Let i be k(-5). Let v = 5 + i. Calculate the remainder when 52 is divided by v. 16 What is the remainder when 12*(-5)/((-30)/8) is divided by 7? 2 Suppose 3*b + 0*b - 12 = 0, -4*d = -3*b - 152. Let c = 18 + d. What is the remainder when c is divided by 16? 11 Suppose 3*f - 25 = -3*h - f, -5*f - 30 = -5*h. Suppose 2*q - 48 = 2*g, -117 = -5*q - 3*g + 11. What is the remainder when q is divided by h? 4 Suppose -69 = f - 108. Calculate the remainder when 73 is divided by f. 34 Let l = 39 - 22. What is the remainder when 48 is divided by l? 14 Let m = 34 + -18. Suppose 4*l - 233 = -45. What is the remainder when l is divided by m? 15 Let l(t) = t**2 - 9*t + 14. Let f be l(11). Calculate the remainder when 21 is divided by 297/f + 2/(-8). 5 Suppose 2*q - 3*q - 2*r = 0, 0 = -r. Suppose -2*j + j + 9 = q. Let d(f) = f**2 - 9*f + 10. Calculate the remainder when 29 is divided by d(j). 9 Let d = 0 + 102. Calculate the remainder when d is divided by 21. 18 Let u(v) = v**2 + 14*v - 27. What is the remainder when u(-18) is divided by 20? 5 Let b = -2 - -6. Calculate the remainder when (1 + -16)/(-14 + 13) is divided by b. 3 Suppose -2*o + 784 = 2*o. Suppose -2*h - o = -6*h. Calculate the remainder when h is divided by 25. 24 Let i(l) = -5*l + 6. Let w(n) = -2*n + 3. Let s(v) = -4*i(v) + 9*w(v). Let k(g) = g. Let p be k(5). Calculate the remainder when 25 is divided by s(p). 12 Let m = -108 + 112. Calculate the remainder when 13 is divided by m. 1 Suppose t + 30 = -2*t. Let d = t - -65. Suppose -2*q + 4*q = 2*y - 40, 4*q = -5*y + d. What is the remainder when 44 is divided by y? 14 Let p = 3 + 6. Calculate the remainder when 24 is divided by p. 6 Suppose -3*o = -52 - 5. Suppose 10 = -2*t, t = v + v - o. What is the remainder when 26 is divided by v? 5 Calculate the remainder when (-16)/3*(-11 + -1) is divided by 15 - (7 + -6 + -8). 20 Suppose -7*n - 58 + 303 = 0. What is the remainder when n is divided by 11? 2 Suppose 0*f + 4 = -l - 3*f, -3*f = -l + 8. What is the remainder when 15 is divided by (-5)/(10/(-8))*l? 7 Let m(p) be the second derivative of 0 + 1/2*p**2 - 1/6*p**3 + p + 0*p**4 + 2/5*p**5. What is the remainder when 22 is divided by m(1)? 6 Let r = -16 + 1. Let v be ((-6)/r)/((-2)/(-370)). Suppose -5*w - 4 + v = 0. Calculate the remainder when w is divided by 5. 4 Suppose -3*o - 5*h = -2*o + 7, 16 = -4*h. Suppose -2*d = -2*z - z - 128, 90 = d + 5*z. Let w = d + -32. Calculate the remainder when w is divided by o. 12 Let x(y) = y**2 - 2*y - 1. Suppose -w = 5*l - 24, -4*w = -9*w + 4*l + 120. Suppose -5*r - w + 84 = 0. What is the remainder when x(-5) is divided by r? 10 Let c(x) = -x + 11. Let w be c(5). Suppose 3*p + 0*p - w = 0. Suppose -5*b + p*u + 36 = 3*u, -b = u - 4. What is the remainder when 15 is divided by b? 7 What is the remainder when 257 is divided by 16/6*10/(80/156)? 49 Let g be 20 - (-4 - 0)/4. Suppose 0 = -g*y + 16*y + 60. What is the remainder when 58 is divided by y? 10 Suppose 68 - 20 = 2*s. Calculate the remainder when s is divided by 7. 3 Let x(j) = j + 2. Let b be x(7). Let a(s) = s**2 - 7*s + 2. Calculate the remainder when 57 is divided by a(b). 17 Let w be -2 - -2 - 1*10. What is the remainder when w/(-25) + 566/10 is divided by 15? 12 Let f(u) = 2*u - 9. Let x be f(6). Calculate the remainder when (0 - -22) + x + -1 is divided by 9. 6 Let t(n) = -11*n - 2. Let w be t(-2). Suppose -7*d + c = -2*d - 40, -5*d - 3*c = -w. What is the remainder when d is divided by 4? 3 Let m(k) = 3*k + 2. What is the remainder when 31 is divided by m(2)? 7 Let t(p) = -4*p**2 + 4*p - p + 4*p**2 + 2*p**2 - 4. Suppose 13 = 3*v - 35. Calculate the remainder when t(-5) is divided by v. 15 Let u be 4/6 - (-42)/18. Suppose 2 = -y, 2*y - 1 = -u*r - 2. Calculate the remainder when 3 is divided by r. 0 Suppose -c + 109 = -5*u, 125 = -3*u - 2*u + 5*c. Let j = 33 + u. What is the remainder when 47 is divided by j? 11 Suppose 0 = 21*u - 25*u + 520. What is the remainder when u is divided by 33? 31 Suppose -3*y + 42 = -105. Let b(p) = 2*p + 18. Let q be b(-13). What is the remainder when y is divided by q*(-1)/(-2) - -21? 15 Suppose -o = 5*u - 2*o - 255, -2*u = o - 109. What is the remainder when u is divided by 9? 7 Let t(f) be the first derivative of f**3/3 + f**2/2 + f - 3. Let g be t(-2). Suppose 0 = g*l - 3 - 12. Calculate the remainder when 9 is divided by l. 4 Let p(b) = 15*b**3 - b**2 - 2*b + 2. Let q = -18 - -26. What is the remainder when p(1) is divided by q? 6 Suppose 3*z + 76 = 2*z. Let c = z - -135. What is the remainder when c is divided by 15? 14 Let y(b) = b**3 - 4*b**2 + 2*b - 6. What is the remainder when y(5) is divided by 16? 13 Let z = 284 - 179. Calculate the remainder when z is divided by 18. 15 Suppose -2*h - 319 = -4*g + 137, 0 = -g - 5*h + 136. Calculate the remainder when g is divided by 30. 26 Suppose -6*r + 163 - 19 = 0. Calculate the remainder when 119 is divided by r. 23 Let p(x) = 3*x**2 - x - 1. Let j be p(-1). Suppose 4*v - 3*v = -5*m + 79, j*v - 3*m - 147 = 0. Let y = v - 34. Calculate the remainder when y is divided by 11. 9 Let u(i) = -6*i**2 + 2*i - 1. Let d be u(-2). Let w = -16 - d. Calculate the remainder when 36 is divided by w. 10 Suppose -34 + 7 = -3*v. What is the remainder when 20 is divided by v? 2 Let j = 3 + 3. Suppose -g = 2*g - j. Suppose -u + 14 = 4*q, g*u + 5*q - 16 = 3. Calculate the remainder when 2 is divided by u. 0 Let n = 11 + -17. What is the remainder when n*(3 + (-38)/6) is divided by 4*11/8*2? 9 Suppose 352 = 2*b + b + v, -2*b + 244 = -4*v. What is the remainder when b is divided by 10? 8 Suppose 0 = f - 29 - 167. Suppose 5*k - 54 = f. What is the remainder when k is divided by 26? 24 Let p be 196/16 + (-2)/8. Suppose -3*z + 0*z + p = 0. Suppose -s + 4*r + 26 - z = 0, -5*s + 5*r = -50. Calculate the remainder when s is divided by 4. 2 Let l = 317 - 266. Let q = 2 - -11. What is the remainder when l is divided by q? 12 Suppose s = 5*s. Suppose h - 7 = -s*h. Calculate the remainder when h is divided by ((-20)/16)/((-1)/4). 2 Suppose -5*h = -13 - 27. Suppose 4*f - 2*f - h = 0. What is the remainder when (-1)/((-8)/(-9) + -1) is divided by f? 1 What is the remainder when ((-70)/21)/(3/(-36) - 0) is divided by 15? 10 Calculate the remainder when 62 is divided by (30/9)/(-1)*72/(-15). 14 Suppose -2*d = -0*d. Suppose m + m = 2*j + 22, 3*m + 4*j - 47 = d. Suppose 0 = 6*p - 3*p - 150. What is the remainder when p is divided by m? 11 Suppose -5*z + 0*z + 10 = 0. Suppose -4*i + 36 = 3*r - z*r, 0 = i - 4. Suppose -3*u + 5*c + 24 = 2*c, 5 = u + 2*c. What is the remainder when r is divided by u? 6 Let s = -30 + 39. Suppose 21 + 39 = 4*c. What is the remainder when c is divided by s? 6 Calculate the remainder when (0 + 15/6)*112/10 is divided by 16. 12 Let o(s) = -s**2 + s. Let p be o(0). Suppose p*i - 5*i + 65 = 0. What is the remainder when 51 is divided by i? 12 Suppose 8 = 2*j - 0*y + 2*y, 0 = -j + 4*y + 9. Suppose k = -j*s + 2*k + 416, s - 2*k = 76. Calculate the remainder when s is divided by 29. 26 Suppose -5*m = 3*y - 6*y - 37, 5*y + 25 = m. Suppose m*q - 160 = 5*z, -3*q + 60 = 2*z - 21. Calculate the remainder when q is divided by 15. 14 Suppose 35 = 3*v - d, -2*v - 2*v + d = -46. Calculate the remainder when 41 is divided by v. 8 Let m = 37 - 33. Calculate the remainder when 19 is divided by m. 3 Let a = 100 + -89. Calculate the remainder when a is divided by 6. 5 Let r(n) = n**3 - 11*n**2 + 2*n + 1. Calculate the remainder when 67*-2*(-2)/4 is divided by r(11). 21 Suppose -r = 3*r - 384. Calculate the remainder when r is divided by 14. 12 Suppose -2 = 3*x + 3*i - 17, -5*i = 4*x - 21. Let k = 6 + -6. Suppose k*t + 10 = 5*t. What is the remainder when x is divided by t? 0 Let y = 113 + -66. What is the remainder when 233 is divided by y? 45 Let m = 25 + -40. Let x = 33 + m. Calculate the remainder when 6 is divided by (x/3)/((-6)/(-4)). 2 Suppose 2*t + 3*d - 6 - 10 = 0, 5*t - 18 = -2*d. Let y(l) = 8*l**2. Let q be y(-1). Let j = q + t. Calculate the remainder when 28 is divided by j. 8 Suppose 3*c - 2*u = 7 - 32, 0 = 4*c + 5*u - 5. Let n = 14 - c. Calculate the remainder when n is divided by 10. 9 Let m = 4 + -1. Suppose -3*d + m = j - 68, 3*j - 15 = 0. Suppose -5*n + 39 = -2*v + v, -2*v = -4*n + 30. Calculate the remainder when d is divided by n. 6
Solve w + 140 + 6 = 5*c, 4*c - 100 = 2*w - 18*w for c. 29 Solve -324*l + 326*l + 459 = -7*r, -r + 9*l - 47 = 0 for r. -65 Solve -3*j = 2*n - 21, -j + 89*n - 1 = -91*n - 86*n + 264*n for j. 5 Solve 33 = 4*q - 8*q + m, 6*q = q + 121*m - 161 for q. -8 Solve -7*l - 7 = -g, -14583*g + 14581*g - 12 - 2 = 0 for l. -2 Solve -1199*m + 1200*m + 0*o + 1 = -2*o, 0 = -9*m + 2*o - 29 for m. -3 Solve 4*r + 207 = 17*n + 3*r + 138, 3*r + 10 + 5 = 3*n for n. 4 Solve 9*s - 7*s + 5*a + 22 = -39, 242*s = -5*a + 419 for s. 2 Solve 5*z + 5*u = z + 217 - 187, u = -4*z - 10 for z. -5 Solve 5*y - 2*y = -2*y - 5*l - 130, 2*l = y + 4*l + 30 for y. -22 Solve -51 = 5203*i - 5205*i - s, 150*i = -5*s - 165 for i. -3 Solve 17 = -s - 2*a, 5*s + 13804*a - 13799*a + 50 = 0 for s. -3 Solve 11*b + 8*o - 3*o + 2 = 0, -36*o - 49*o + 117*o - 132 = 2*b for b. -2 Solve b = j - 6*b + 53, 12*j + 3*b - 6*b - 12 = -0*j for j. 3 Solve -2*a = 4*f + 38, -2622 = 4*a - 5*f - 2637 for a. -5 Solve -40 = -4*n, 13774*m - 13779*m - 3*n = -9*n + n + 60 for m. -2 Solve 3*x - 32 = -z, 3821*z - 36 = -3*x + 3818*z for x. 10 Solve 132*i + q - 922 = 0, 2*i + 791 - 797 = -4*q for i. 7 Solve -5*b = -16*p + 755 + 115, -2396*b + 2394*b - 2*p + 114 = 0 for b. 2 Solve 83*p = -25*r + 167*p - 86*p + 55, 3*r + 4*p + 31 = 0 for r. 3 Solve -4*m + 14 = 2*u, -2924*m = -3*u - 2907*m - 71 for u. -1 Solve 0 = -3*x + 5*s + 30, 26*x - 17*x - 11*x - 5*s = 5 for x. 5 Solve -56*m + 10*j + 143 = -59*m, 45 = -m - 2*j for m. -41 Solve -48 = 3*z - 5*g, -3*z - 31637*g + 31612*g + 222 = 0 for z. -1 Solve -2*y + 13 = -a, 49*y - 2*a = 447 - 16 for y. 9 Solve 0 = -8*s + q + 38, -8*q - 2467 + 2508 = 5*s for s. 5 Solve -3*c + 5*m + 27 = 0, 5*c - 24*m + 35*m = -0*m - 13 for c. 4 Solve -p + 3*d = -8663 + 4334 + 4336, -4 = -8*p + 4*d for p. 2 Solve 0 = -n - 3*q + 12, 14*n + 1942*q = 1946*q + 76 for n. 6 Solve -f + 627 + 507 - 1152 = 3*o, o - f - 2 = 0 for o. -4 Solve 18 = -4*t + 2*m, 17460308*t = 17460309*t + m + 6 for t. -5 Solve -t + 28 - 39 = x - 22, 102*x - 8*t - 359 = -t for x. 4 Solve -53*m - 64*m + 54 = 11*l - 121*m, 2*l = 33*m + 268 for l. 2 Solve k = 5*k + 2*t + 214, 0 = 8367*k - 8365*k - 5*t + 89 for k. -52 Solve 2 + 4 = -0*o + 6*o - 5*f - 2, -160 = -o - 7*o - 12*f for o. 8 Solve 5*k - 58 = -2*u, 16*k + 4*u - 10*u + 42 = 20*k for k. 12 Solve -57 = 2*p - 46*a + 715 + 148, p - 5*a + 111 - 11 = 0 for p. 0 Solve 3*l = 18*w, -13333878*l = 5*w - 13333877*l - 11 for w. 1 Solve 9*z + 46 = 4*h + 11*z, 19*h = 14*h + 5*z + 50 for h. 11 Solve 2*y - 2*o = -o - 22, 398 = -162*y - 2*o - 1716 for y. -13 Solve 37*f = 3*u + 2*u + 38*f, -2*u = -f for u. 0 Solve 3*n - 13 = 2*n - 4*y + y - 48, -4*n - 3*y - 50 = 0 for n. -5 Solve 4 - 10 = -5*s - 2*f - 4 + 12, -3*f = 3*s - 3 for s. 4 Solve j = 29*m - 1895 + 1311, 0*j = 4*j - 3*m + 76 for j. -4 Solve -4*k - 3*r + 17219 - 8510 = 8461, -2*r = -k + 51 for k. 59 Solve 5*d = 5*i + 35, 37807*i + d = 37803*i + 22 for i. 3 Solve -19*q = 4*i - 1048, -347*i + 344*i = -5*q + 292 for q. 56 Solve -q + g - 38651 = -q - 38648, -2*q + 12 = 8*g for q. -6 Solve 4*j + 1516*a = 1512*a - 172, -5*j = 4*a + 220 for j. -48 Solve 8*w + 2*n - 12 = 31*w, -3*w + 33*n - 38*n + 126 + 25 = 0 for w. 2 Solve -102*t + 98*t + 43 = -3*v, 2*v - 5*t = 6*v - 46 for v. -1 Solve q + 12463304*f - 45 = 12463300*f, -2*q + 17 + 13 = 2*f for q. 5 Solve -102*a + 24*w - 20*w - 1636 = 0, 12*a - 7*a - 5*w + 85 = 0 for a. -16 Solve 10*m + 3369 - 3441 = 5*m + 3*t, -13*t - 52 = 0 for m. 12 Solve -451 = -5*w - 3*m, 194933*w - m + 222 = 194935*w + 41 for w. 92 Solve a = 3*j - 88 + 12 - 51, -197 = -13*a - 5*j - 0*j for a. -1 Solve 157*s - z - 156 + 3629 = 543*s, 0 = 21*s - 18*s + 3*z + z - 23 for s. 9 Solve 10*b = -21*b + 496, f - b - 4*b + 78 = 8*f - 5*f for f. -1 Solve -2*l + 178 = 4*j, 11*j + 3*l - 416 = 86 for j. 47 Solve 0 = -49*z + 5*p - 57 + 288, 2*p + p + 17 + 4 = 0 for z. 4 Solve 3*a = 4*d + 44, 20 = 20*a - 25*a - 996*d + 991*d for a. 4 Solve -17*p - 4*s = -12*p + 958 - 1028, 4*s - 110 = -9*p for p. 10 Solve -1075*z = -2*u - 1098*z - 721, 99 = -4*z - 25 for u. -4 Solve 2325*v = 1157*v + 1166*v + 2*y + 14, -5*v + 2*y + 14 = 0 for v. 0 Solve -64*s - 4*w = 2700, -8*s - 502*w - 204 = -3*s - 504*w for s. -42 Solve -738592*b - 6*r = -738590*b - 48, -b = 6*r - 33 for b. 15 Solve 0 = -h - r - 2, -86*h - 24294 = -87*h + 5*r - 24314 for h. -5 Solve 5*l - 24 = 3*d, -4568*l + 4563*l = -45*d + 60 for d. 2 Solve -9*s = 3*f + 60, -8*s = 75*f - 70*f + 107 for s. 1 Solve -l - 15 = -x - 62, -26*x + l = 1197 for x. -46 Solve -1244 = a - 2*t - 1263, 5*a - 8*a + 7 = 2*t - 58 for a. 21 Solve -2*k - 2*g = 2*g + 1 + 1, 5*g + 2*g = 9*k + 34 for k. -3 Solve 3*b + 859 = -2*y + 851, -2*y + b = -16 for y. 5 Solve 0 = a - 5*v + 48, 0 = 2791*a - 2790*a - 8*v + 75 for a. -3 Solve 19*y - 2*v = 7*v - 14*v + 3*v - 151, 662 = 2*y - 24*v for y. -5 Solve 3*o + 127 = -5*n + 22, 9*o = 10*o - n - 21 for o. 0 Solve 7*w - 163 = g - 86, 71*w = 68*w + 33 for g. 0 Solve -21*m = 42, -94*g - m = 87*g - 180*g + 6 for g. -4 Solve 143*q = 147*q - 4*z - 96, -5*q - 6*z + 142 = 0 for q. 26 Solve -10*j = -14*j - o - 3*o + 24, -368*j + 4*o = -0*o - 0*o - 348 for j. 1 Solve -65149 = -5*q - 2*y - 65141, 2 = 3*q + 4*y for q. 2 Solve -22 = -3*n - 1678*k + 1679*k, -449 = 5*n + 14*k for n. -3 Solve 7*g - d + 0*d = -0*d + 36, 183*d = 180*d - 16 - 8 for g. 4 Solve 43*l + 31*g - 352 = 11*l + 15*l + 15*l + 7*g, 0 = -4*g + 60 for l. -4 Solve -3*v = 32*y + 126, -12 = 963*y - 973*y + 4*v - 2 for y. -3 Solve x + 66*n = -7*x + 4*x + 90, x - 8 = 13*n + 7*n - 22*n for x. 6 Solve -6*f - 8*k = 20, -32987*f + 4*k = -32989*f - 12 for f. 2 Solve 0 = 3*k + 295517*b - 295512*b - 43, 0 = 3*b - 6 for k. 11 Solve -32056*u = -10*l - 32052*u + 56, 3*u + 27 = 0 for l. 2 Solve q + 22698 - 22684 = 2*y, 4*y - 22 = 5*q for y. 8 Solve 2*w + 21 = -5*n, 5*n + w = 547633 - 547651 for n. -3 Solve 0 = 4*q - 4*m - 32, 3*q = -5*m + 467169 - 467193 for q. 2 Solve -145*o - 115*o - c + 89 = -264*o, -3*o - 2*c + 156 = 0 for o. -2 Solve 17*w = -127*g + 129*g - 159, 2*g - 42 = 4*w for w. -9 Solve 0 = 8*d + 56*l - 464, 12*d + 2*d - 4*l = 19*d - 42 for d. 2 Solve -5*h + 9 = -4*r, -5*r - 3*h + 149510 = 149512 for r. -1 Solve 28*q + 21*q - u + 45 = 44*q, 5*q - 4*u + 30 = 0 for q. -10 Solve -4*v - 3801*t + 3797*t = 96, 49*v = t + 224 for v. 4 Solve -4*j = 25*c - 7*c + 378, 3*c - 2*j = -63 for c. -21 Solve -977*s - 972*s = -3*i - 1952*s - 27, 2*i = -3*s + 6 - 33 for i. 0 Solve 1526*g + 30 = y + 1534*g - 19, -15 = -3*g for y. 9 Solve -5*v - 2*m = -12, -230539 = 4*v + 3*m - 230571 for v. -4 Solve -37*i + 40*i = 9*x - 120, 16*i + 52 = -x for i. -4 Solve 2*c - 35 = 5*l - 37, 37*c - 35*c + 2 = -5*l for c. -1 Solve 0 = 5*c + 4*s + 691 - 633, 2*s - 6 = 0 for c. -14 Solve 0 = 5*q + 4*z - 20, 20*z + 2 = 263*q - 267*q + 9*z + 96 for q. -4 Solve 2*c = 3*y + 2*y + 2, 5*y - 70*c - 9842 = -10252 for y. 2 Solve -11*v = -4*g - 94, 1479*g = -4*v + 1483*g + 24 for v. 10 Solve -4*o + 3248*y = 3246*y + 4, 3*y = -10*o - 74 for o. -5 Solve 35*t - 9*t - 455 = 2*t - 4*z + 253, 0 = t - z - 26 for t. 29 Solve -1478 = -4*s - 18*f, 135*f - 427 = 3*s + 78*f + 52*f for s. -4 Solve -2*t - y + 16 = -6*y + 21, 5*y - 8 = 17 for t. 10 Solve -g - 61 = 7*w - 2*w - 117, g = -163*w + 1794 for g. 1 Solve s = 2*q - 45, -748*q + 749*q = -s + 4*s + 15 for q. 24 Solve 3*y - 4*c + 1039 - 1079 = 0, -33 = -3*y - 3*c for y. 12 Solve 9*v = 5*i + 59, 2*v - 7*i = -54 + 126 for v. 1 Solve 0 = 5*a + 4*r + 20, 4*r + 20 = 2*a + 6*a - 12*a - 0 for a. 0 Solve -142 = -5*s - 3*l - 58, -5*s - 183*l = -185*l - 94 for s. 18 Solve 25*x + 610*k + 500 = 20*x + 40*k, 0 = -x + 4*k + 10 + 8 for x. 14 Solve 5*f = 67*g + 2*f + 522698 - 522884, 4*g - 5*f = -13 for g. 3 Solve -2*c = c - c + 2 - 8, 4*k + 6*c = -50 for k. -17 Solve 4*i = 18*y - 92, i - 6*i + 17*y - 41 = 13*y for i. -5 Solve -91938*v = -91935*v - 10*a - 41, 2*a = -3*v - 19 for v. -3 Solve 0 = -158098*q + 158102*q + p + 151, 3*p = 5*q + 193 for q. -38 Solve -12554*x - 40 = -12557*x - 4*v, 3*v = 6*x - 3 for x. 4 Solve 5*q - 435 - 101 = 51*g - 18*g, -5*g - 105 = 4*q for g. -17 Solve -5*n - 10717 = 2*i - 10702, -21*i + 110 = -n for n. -5 Solve -3*a + 2009 = -41*y, 55*a - 5*y - 49 = 59*a + 196 for a. 0 Solve -105*u + 11*x + 30 = -104*u - 96, 8*u + x = 3*u + 14 for u. 5 Solve 21881*y - 3 = -5*p + 21884*y, 4*p - 13*y + 14*y + 1 = 0 for p. 0 Solve -5*s = -6*n + 218, -180*s - 45 = -177*s - n for s. -4 Solve j + 160 = 25*z, -4*j + 9*z - 58 = 127 for j. -35 Solve 27 = 16177*a - 16179*a + 3*u, -3*a = -2*u + 28 for a. -6 Solve -5*b = -b - 5*x + 20, -24*b - x + 79 = 2*x + 199 for b. -5
Suppose 7 + 41 = 16*r. Suppose -84 + 138 = r*b. Calculate the highest common divisor of 342 and b. 18 Suppose 0 = 5*c + h - 190, -c + 38 = -0*c + h. Suppose 10*y - 212 - c = 0. Calculate the greatest common divisor of y and 10. 5 Let p be (-28)/51 + 70/(-595) + (-778)/(-6). What is the highest common divisor of 29283 and p? 129 Suppose -2*g + o + 16 = 0, 5*g + 21 - 63 = 3*o. Suppose -3*d = 4*w + 12 - 1, 5*w = 4*d - 37. Calculate the greatest common divisor of d and g. 3 Let w be 9 - (86/(-129) - (-3052)/(-3)). Calculate the highest common divisor of 79 and w. 79 Suppose 0 = 12*n - 12 + 48. Let p be (n + -1)/((-12)/(-108)*-12). Let r = -3 + 12. Calculate the highest common factor of p and r. 3 Let s(v) = -2*v**2 + 2*v + 9. Let z be s(4). Let q be z/10*1*888/(-18). What is the greatest common divisor of 1184 and q? 74 Suppose 0 = 4*k - 69 - 35. Let u = -26 + k. Suppose 0*c - 8*c + 840 = u. What is the highest common factor of 21 and c? 21 Let s(d) = d**2 + 23*d - 19. Let w be s(-24). Suppose 0 = 4*r + 5*h - 193, 42 = w*r - h - 221. Let p = r - 44. What is the greatest common divisor of p and 72? 8 Suppose -s - 1126 = -2*k - 3*s, 0 = -2*k + 4*s + 1156. Suppose j - 6*j - 1800 = 0. Let c = k + j. What is the greatest common divisor of c and 52? 52 Suppose 5*f - 55 = 170. Suppose -831 + 2249 + 1342 = 23*g. Calculate the greatest common factor of f and g. 15 Let a be 6 + (3 + -3)/3. Suppose -4*u + n + 118 = a*n, -2*u - 3*n = -58. Calculate the greatest common factor of u and 44. 4 Let y = 139 - 143. Let f(k) = 20*k**2 - 5*k - 10. Let r be f(y). Calculate the greatest common divisor of 33 and r. 33 Let s(z) = -z**2 - 15*z - 18. Let i be s(-14). Let u be (4 + 2)/((-2)/i). Let a = u - -14. What is the greatest common divisor of 13 and a? 13 Suppose 4350 = 21*x - 2706. What is the greatest common factor of x and 3312? 48 Let y be (-1)/((104/(-6864))/((-80)/(-3))). What is the highest common divisor of y and 11? 11 Let y be (-4 + 7)/(2 + (-3)/6). Let a be (-8)/3*15/(-20)*y. What is the greatest common factor of 12 and a? 4 Let x(j) = -j**3 - 8*j**2 - j - 15. Let d be x(-8). Let p be 1*d/((-21)/135). Calculate the highest common divisor of p and 5. 5 Suppose 881*j = 887*j - 636. Calculate the highest common factor of j and 6. 2 Let i be 93/5 - (-4)/10. Let j be i*5/(-4 + 9). Let f(p) = p**2 - 3*p + 1. Let x be f(-3). What is the greatest common divisor of x and j? 19 Let f(y) = 9*y + 10. Let p be f(5). Let i be (-69)/(-6) + (2 - (-5)/(-2)). Calculate the greatest common divisor of p and i. 11 Let g(r) = r**3 - 5*r**2 - 13*r - 6. Let f = -9 - -16. Let p be g(f). Suppose -p - 2 = -3*a. What is the highest common factor of a and 8? 1 Suppose 0 = 7*f - 8 + 22. Let x be f/(-3) + (-4 - 95/(-15)). Suppose 4 = -0*a + a - r, 0 = x*a - 5*r - 8. Calculate the highest common factor of a and 24. 6 Let x = 6131 - 5494. What is the greatest common divisor of 26 and x? 13 Let g(q) = -2*q**2 - 68*q + 240. Let v be g(-37). What is the highest common factor of v and 318? 6 Suppose -4*n = -5*n + 3352. Calculate the highest common factor of n and 16. 8 Let f be 124 + 24/(-3) - 6. Suppose y + 2*y - f = -2*d, y = -2*d + 38. Let m be (2/(-2) - 0) + 13. What is the greatest common factor of y and m? 12 Let d = 2731 - 2715. What is the highest common factor of d and 4? 4 Suppose -m - 9 = 3*u, 3*m - 17 = -44*u + 46*u. Calculate the highest common divisor of 4827 and m. 3 Suppose t - 304 = 3*m, -5*t - 3*m = 217 - 1809. Let k = 324 - t. What is the highest common divisor of k and 152? 8 Suppose 0 = -13*g + 13164 + 4035. Calculate the highest common divisor of g and 245. 49 Let x be ((-158)/(-316))/(1/2568). What is the highest common divisor of 48 and x? 12 Let i = -4 - -6. Suppose i*l + 7 = 87. Let f = 5 - -55. What is the highest common divisor of l and f? 20 Let a be (-4 - (-54)/(-9))/((-1)/3). What is the highest common factor of 40 and a? 10 Let f(q) = 1242*q + 4992. Let i be f(-4). Calculate the highest common factor of i and 15. 3 Suppose 179 = 4*z - 1105. Let v = z - 181. Suppose 716*l - 695*l = 420. Calculate the greatest common divisor of l and v. 20 Suppose -w = -4 - 0. Suppose -w = -2*m + 4*d, 4*m + 0*d = -4*d + 20. Suppose -127 = 137*i - 401. What is the greatest common factor of m and i? 2 Let h = 27077 - 26720. Calculate the greatest common divisor of 1581 and h. 51 Let v = -201 - -202. Let p be (-3 + v)/((9 + -10)*1). Calculate the highest common factor of p and 4. 2 Suppose 608 = n + 7*n. Let c = n + -75. Calculate the greatest common divisor of 2 and c. 1 Let i(r) = -r**2 - 4*r + 148. Let y be i(-14). Calculate the greatest common factor of y and 4096. 8 Let p be -1*5/(-1 + -4). Let s be 25 + -23 - p*(-272 - 2). Calculate the highest common divisor of 24 and s. 12 Let w be 276/1*44/66. Suppose -8*h = -4*h - w. Suppose -r + 3*r - 230 = 0. What is the highest common divisor of h and r? 23 Suppose -23 = -d - 3*x + 2*x, 0 = -5*d - x + 103. Let v be (-7)/(8/24 - 10/12). Let h = d + v. Calculate the highest common factor of 34 and h. 34 Let u be (-1 - 0 - -1)/(-1). Suppose -2*d + 106 = i, 2*d - 2*i + 0*i - 112 = u. Let k be (-210)/4*d/(-45). What is the greatest common divisor of k and 21? 21 Let v = -8 - -13. Let u(o) = -54*o + 14*o + 29*o + 18*o + 13. Let c be u(v). Calculate the highest common factor of 6 and c. 6 Let x = 9 + -153. Let c be (-86)/(-18) - 32/x. Suppose 5*v = -0*v + c. What is the highest common divisor of 2 and v? 1 Suppose 4*m - 19*m + 3360 = 0. Suppose -m*t = -226*t + 100. Calculate the highest common divisor of t and 25. 25 Let s(g) = -61*g - 7. Suppose -39*t + 35*t = 8. Let h be s(t). Calculate the highest common divisor of h and 23. 23 Let r be (122/4)/(-1*(-4)/(-16)). Let q = r - -130. What is the highest common factor of q and 32? 8 Suppose 79179 - 4299 = 45*c. Calculate the highest common factor of 1040 and c. 208 Let f be (1537/106)/(3/228). What is the greatest common factor of f and 95? 19 Let b = -5 + 35. Suppose 9*a - 17400 = -11*a. Calculate the highest common factor of a and b. 30 Let p = -22764 + 22769. What is the greatest common factor of p and 335? 5 Let a be -3 + (-42)/(-8) - (-9)/12. Let x be (26/10 - a)/((-1)/150). Let i be ((-6)/(-12))/(1/x). What is the greatest common factor of 60 and i? 30 Let f be -38 + 1755 - (-1 - (-9 + 2)). What is the highest common divisor of 177 and f? 59 Suppose 0 = -19*p + 6*p + 26. Let w be (15 - p)*((-2)/(-1))/2. Suppose 2*g + 94 = 2*q - 0*g, -5*g + 77 = q. Calculate the greatest common divisor of w and q. 13 Suppose 33*t + 65*t = 43*t + 2310. Calculate the greatest common divisor of 318 and t. 6 Suppose 4*w + 572 = 4*d, -21*w = 5*d - 20*w - 703. Calculate the greatest common factor of d and 329. 47 Let q(f) = -f**3 - 2*f**2 + 61*f - 36. Let m be q(-12). Calculate the greatest common divisor of 154 and m. 14 Suppose 115*d - 494*d = -103088. Calculate the greatest common factor of d and 72. 8 Let p(u) = -u**2 - 5*u - 9. Let j be p(-9). Let x = j - -78. Suppose 0 = -30*k + x*k - 189. Calculate the greatest common divisor of 7 and k. 7 Let u be (-75)/(-12) + 4 + 2/(-8). Let g(c) = -26 + u*c + 5*c + 3*c**2 + 31. Let x be g(-6). What is the highest common divisor of 161 and x? 23 Let m = 9 - 13. Let r = 407 + -409. Let i be (-39 + -3)*r/m*-1. Calculate the highest common factor of 21 and i. 21 Suppose -5*t = 3*b + 1, -6*t + t - b + 3 = 0. Suppose w = 11 - t. Suppose -5*l + 67 - w = m, -2*l = 2*m - 74. Calculate the greatest common divisor of m and 8. 8 Let m = 596 - 594. Suppose -5*j + m*j = -4*q + 81, 3*j = 2*q - 39. Calculate the highest common factor of q and 70. 7 Let w(z) = -z - 21. Let s be w(-11). Let h be -1 + (-2 - -2) - 1050/s. Let b be (-2)/(-6) - (-114)/9. What is the greatest common factor of h and b? 13 Suppose -14*m - 3137 = -23350 + 613. Calculate the greatest common factor of m and 56. 56 Let w(d) = 100*d - 135. Let h be w(9). Let m = -489 + h. Let t(x) = -x**3 + 8*x**2 - 4*x + 2. Let b be t(7). What is the greatest common factor of m and b? 23 Suppose -99*v = 91*v - 192*v + 592. What is the greatest common factor of 16 and v? 8 Suppose 0 = -5*o + 2*t + 41, 22*t = 23*t - 7. Calculate the greatest common divisor of o and 517. 11 Suppose 0 = 4*x - 5*y - 2573, 8*x - 10*x + 1281 = 3*y. What is the greatest common divisor of x and 3424? 214 Let q be (6/9)/(8/(-1236)). Let s = -104 - q. Let c(l) = -65*l + 1. Let z be c(s). Calculate the greatest common factor of z and 22. 22
Two letters picked without replacement from kwhttwtttttwtt. Give prob of picking 1 t and 1 k. 9/91 Two letters picked without replacement from {v: 2, r: 2, u: 6, d: 1}. Give prob of picking 2 u. 3/11 Four letters picked without replacement from shhsehxxdhehhep. Give prob of picking 3 e and 1 x. 2/1365 What is prob of picking 3 f when three letters picked without replacement from {f: 7}? 1 What is prob of picking 1 k and 1 v when two letters picked without replacement from gttgqgqgkkxvktgtkg? 4/153 Calculate prob of picking 2 p when two letters picked without replacement from {u: 3, h: 1, i: 7, p: 7, o: 1}. 7/57 Four letters picked without replacement from bdaaiddadbdizdizbi. Give prob of picking 3 i and 1 b. 1/255 What is prob of picking 3 q and 1 c when four letters picked without replacement from ccqcqqcccccc? 1/55 What is prob of picking 1 q and 1 o when two letters picked without replacement from oqbbobbqooboobqbbob? 7/57 Calculate prob of picking 1 h and 1 n when two letters picked without replacement from hhhhhhhhhhnhhhhhhhhh. 1/10 Calculate prob of picking 1 m, 1 f, and 1 n when three letters picked without replacement from {t: 1, n: 3, m: 2, c: 1, f: 3}. 3/20 Two letters picked without replacement from {p: 2, e: 8}. What is prob of picking 2 p? 1/45 What is prob of picking 1 t, 1 l, 1 j, and 1 q when four letters picked without replacement from {j: 1, q: 3, t: 3, n: 6, l: 3}? 27/1820 Calculate prob of picking 1 d, 2 j, and 1 i when four letters picked without replacement from {j: 1, d: 3, w: 5, i: 4}. 0 Two letters picked without replacement from eqcwqjwjjwjbcjj. Give prob of picking 1 j and 1 c. 4/35 Calculate prob of picking 2 f and 1 k when three letters picked without replacement from {y: 1, k: 1, p: 2, f: 5, e: 6}. 2/91 Calculate prob of picking 1 x and 1 y when two letters picked without replacement from yxmymxmxmmxmm. 4/39 Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {c: 5, n: 8, y: 2, b: 1}. 1/24 What is prob of picking 3 p when three letters picked without replacement from {s: 11, p: 7, r: 2}? 7/228 What is prob of picking 2 y and 1 q when three letters picked without replacement from {q: 8, y: 3}? 8/55 Two letters picked without replacement from {s: 7, g: 1}. What is prob of picking 2 s? 3/4 Three letters picked without replacement from {a: 4, l: 3, p: 1, q: 2}. What is prob of picking 1 q, 1 l, and 1 a? 1/5 Calculate prob of picking 2 z and 1 w when three letters picked without replacement from {j: 1, d: 7, e: 1, w: 1, z: 10}. 3/76 Three letters picked without replacement from okoykyyyylyygyyuyooo. What is prob of picking 1 y, 1 u, and 1 g? 1/114 What is prob of picking 2 a and 1 k when three letters picked without replacement from {e: 2, k: 4, a: 6}? 3/11 Calculate prob of picking 1 h and 3 e when four letters picked without replacement from qojhmhoe. 0 Four letters picked without replacement from {n: 2, o: 1, w: 4, i: 6}. Give prob of picking 2 i and 2 w. 18/143 Calculate prob of picking 1 w and 3 x when four letters picked without replacement from qwxqqxxqxxq. 1/33 Calculate prob of picking 1 z and 1 p when two letters picked without replacement from uuzpuuzzuzuuzz. 6/91 Calculate prob of picking 2 a when two letters picked without replacement from paryzra. 1/21 What is prob of picking 2 n when two letters picked without replacement from {m: 8, e: 2, n: 6, h: 2}? 5/51 What is prob of picking 1 u, 1 s, and 2 w when four letters picked without replacement from {w: 9, u: 2, r: 1, s: 4}? 72/455 What is prob of picking 3 z and 1 f when four letters picked without replacement from mfffififthtzzizfft? 7/3060 Four letters picked without replacement from coooococjcjoozojzcc. What is prob of picking 1 o and 3 j? 2/969 Four letters picked without replacement from syifaiyyyyiyfsfqiyfy. Give prob of picking 1 a, 1 i, 1 q, and 1 f. 16/4845 Two letters picked without replacement from {b: 1, n: 10, z: 1, i: 1}. What is prob of picking 2 b? 0 What is prob of picking 1 l, 1 v, and 1 t when three letters picked without replacement from {d: 1, l: 1, v: 1, q: 2, t: 2}? 2/35 What is prob of picking 2 c and 1 a when three letters picked without replacement from anncwcwcnwn? 1/55 Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {t: 1, z: 1, e: 3}. 3/10 What is prob of picking 2 y when two letters picked without replacement from yyyycyyyyyyyyyyycy? 40/51 What is prob of picking 2 g and 1 b when three letters picked without replacement from {z: 2, g: 8, u: 1, h: 7, v: 1, b: 1}? 7/285 Three letters picked without replacement from yvfsyvvvnvsyvyf. Give prob of picking 1 n and 2 v. 3/91 Three letters picked without replacement from {a: 3, p: 4, h: 1, c: 1, z: 10}. Give prob of picking 1 h and 2 z. 15/323 Two letters picked without replacement from rhhhrrhhrrhh. What is prob of picking 2 r? 5/33 Two letters picked without replacement from dyyddydydd. What is prob of picking 1 y and 1 d? 8/15 What is prob of picking 4 f when four letters picked without replacement from nffffnnnfn? 1/42 Three letters picked without replacement from gcpex. What is prob of picking 1 e, 1 c, and 1 g? 1/10 Three letters picked without replacement from xxxxx. What is prob of picking 3 x? 1 Calculate prob of picking 2 u and 1 e when three letters picked without replacement from {u: 4, x: 2, i: 6, c: 1, a: 3, e: 3}. 6/323 What is prob of picking 2 b and 2 h when four letters picked without replacement from mhehmbbmhibbme? 18/1001 Two letters picked without replacement from exhvhvhewvwbbb. What is prob of picking 1 v and 1 e? 6/91 Calculate prob of picking 2 f when two letters picked without replacement from tftdfdtdtd. 1/45 Four letters picked without replacement from {c: 1, a: 3, q: 5}. Give prob of picking 3 q and 1 a. 5/21 What is prob of picking 2 z when two letters picked without replacement from {z: 4, i: 7}? 6/55 What is prob of picking 2 c and 1 n when three letters picked without replacement from nvvjjtvcjcnunu? 3/364 Four letters picked without replacement from hopopohopo. What is prob of picking 2 h and 2 o? 1/21 Four letters picked without replacement from {m: 2, d: 1, r: 2, f: 1, e: 1}. Give prob of picking 1 e, 1 d, 1 r, and 1 m. 4/35 Calculate prob of picking 1 e and 1 z when two letters picked without replacement from zzzezzzzyzzzzzzzzzz. 17/171 Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, n: 1, h: 1, c: 3}. 1/21 Four letters picked without replacement from hhthhhthhttth. What is prob of picking 3 t and 1 h? 16/143 Two letters picked without replacement from {a: 4, e: 1, u: 3}. What is prob of picking 2 u? 3/28 Four letters picked without replacement from phzpzhzpzpzzpzz. Give prob of picking 4 p. 1/273 What is prob of picking 3 s when three letters picked without replacement from {y: 1, s: 7}? 5/8 Two letters picked without replacement from fffwfffffffff. What is prob of picking 1 f and 1 w? 2/13 Four letters picked without replacement from ctchhraalcaacacrhct. What is prob of picking 2 h and 2 t? 1/1292 Four letters picked without replacement from dddiidiidi. What is prob of picking 2 d and 2 i? 10/21 What is prob of picking 2 i when two letters picked without replacement from {z: 2, i: 5, p: 4}? 2/11 Two letters picked without replacement from {u: 3, e: 2}. Give prob of picking 2 e. 1/10 What is prob of picking 1 e and 1 l when two letters picked without replacement from xhdle? 1/10 Calculate prob of picking 1 g and 1 n when two letters picked without replacement from mqtgnnn. 1/7 Calculate prob of picking 1 c and 1 i when two letters picked without replacement from ncidnqncncncdcidnc. 4/51 What is prob of picking 1 u and 1 a when two letters picked without replacement from {j: 1, u: 1, a: 1}? 1/3 Three letters picked without replacement from lvllvvvolvo. Give prob of picking 2 l and 1 o. 4/55 Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, q: 1, p: 4, a: 2}. 1/15 What is prob of picking 1 p and 2 y when three letters picked without replacement from fhhhpyhohyhhpphhhp? 1/204 Calculate prob of picking 2 n and 1 j when three letters picked without replacement from {n: 7, j: 11, b: 1}. 77/323 Three letters picked without replacement from jggjdwfy. Give prob of picking 2 j and 1 y. 1/56 Two letters picked without replacement from {q: 1, w: 4, x: 6}. What is prob of picking 2 w? 6/55
Suppose -3*c - 20 = -8*c. Let o(q) = -q**3 + 6*q**2 - 2*q - 4. Let w be o(c). Solve w = 3*x - 8*x for x. -4 Suppose -2*j + 10 = -4. Let r = j + -5. Suppose -3*g = r*g. Solve -16 = -g*f - 4*f for f. 4 Suppose 7*m = 3*m + 4*i + 16, 4*m - 4 = -2*i. Solve -3*b - m*b = -25 for b. 5 Let m(f) = 2*f**2 + 43*f + 21. Let z be m(-21). Solve 5*u - 11 + 16 = z for u. -1 Suppose -4*t + 7*a + 18 = 2*a, 2*t + 4*a + 4 = 0. Let i(v) = t*v - v**2 - v + 0*v. Let p be i(1). Solve -5*n + 5 = -p*n for n. 1 Let y = 8 - 6. Suppose -y*h - h = -24. Suppose 2*s = 16 - 0. Solve h = -4*r - s for r. -4 Let a be 2/(-8) - 44/16. Let g = 8 + a. Solve 0 = -3*q + g*q + 4 for q. -2 Let p(f) = -f**3 + 5*f**2 + 4. Let x = 6 + -4. Suppose v + 5 = x*v. Let l be p(v). Solve -2*g - 6 = -l for g. -1 Suppose 0 = 6*r - r - 15. Suppose 0 + r = j. Solve 20 = j*c - 7*c for c. -5 Suppose 0 = 7*o + 2*o - 90. Solve 0 = -5*q + 3*q - o for q. -5 Let v(f) = 5*f + 17. Let i(k) = -3*k - 9. Let q(w) = -7*i(w) - 4*v(w). Let m be q(6). Let h = 1 - m. Solve 2*z - 6*z = h for z. 0 Let l = -17 - -9. Let k(s) be the first derivative of -s**3/3 - 7*s**2/2 + 8*s + 4. Let a be k(l). Solve a*j + 2*j = 0 for j. 0 Let h(v) = -v + 5. Let s be h(0). Suppose -25 = -5*a + s. Solve d = a*d for d. 0 Let u be (-3)/(2/((-42)/9)). Let r = u - 3. Solve 5*h + r = -1 for h. -1 Let z = -13 - -33. Let w be 0 + (6/2 - 1). Suppose -w*y = -7 - 5. Solve -y*m = -m + z for m. -4 Let l(o) = -o**3 - 9*o**2 - 4. Let t be l(-9). Let f(h) = h**2 + 3*h + 1. Let w be f(t). Solve -p = -w*p - 16 for p. -4 Let f = 6 + -8. Let g be 3 - (2 + -1 + f). Solve -w + 3*w - g = 0 for w. 2 Let b(y) = y + 3. Let j be b(-4). Let g be 3 - (2 - (-1 - j)). Let t be (g/(-3))/((-1)/9). Solve t*r + 7 + 2 = 0 for r. -3 Suppose 28 = 4*h - 4. Suppose k + k = h. Solve -k*f + 15 = 3 for f. 3 Suppose 0 = 4*z - 0*z - 8. Suppose -2*k - z*k + 12 = 0. Suppose -4*s + 3*d + 12 = 0, -s + 5*s + k*d = -12. Solve -7*n + 3*n - 4 = s for n. -1 Let g be (-4)/14 + 10/35. Suppose g = 2*f - f - x, -3*x + 6 = 0. Solve -f*z + 4*z = 0 for z. 0 Suppose 0 = 3*q - 3*s - 6, 2*q + 0*s = 5*s + 4. Solve -t + q*t - 1 = 0 for t. 1 Suppose -4*h - t = -67, 4*h - 2*t = -1 + 59. Solve -5*u + h = -u for u. 4 Let r = -5 + 10. Let s(q) = -q**2 - 2*q. Let x be s(-2). Suppose x = u - r*u. Solve u*w = -2*w for w. 0 Let q(u) = -u**2 - 4*u + 3. Let k be q(-4). Solve -6 = -n + k*n for n. -3 Suppose 0 = c + 4*p + 6, -p = -0*c + c. Suppose -g - c = 0, 3*h = -h - 2*g + 4. Solve 0 = -2*a - 0*a - h for a. -1 Let x(p) = p**2 + 11*p + 26. Let s be x(-8). Solve q - s*q = -5 for q. 5 Let q(o) = 2*o - 13. Let n be q(7). Let u = n - -1. Solve 0 = -2*t + u - 6 for t. -2 Let n(w) = 2*w + 6. Let s be n(-8). Let o = s + 12. Solve o*i - 15 = 7*i for i. -3 Let j(i) = -i**3 + 4*i**2 - i. Let z = 0 - -3. Let p be j(z). Solve -m = -p*m for m. 0 Let j be 1/((-3)/9*-1). Let d be -1 + (-3)/((-9)/j). Suppose -5 = 5*y + 5*g, -3*g - 7 = -4*y + 3. Solve a + y = -d*a for a. -1 Let b = -2 + 4. Solve 0 + 2 = b*t for t. 1 Let w be (1/(-2))/((-1)/6). Solve 0 = -w*i + 2 + 4 for i. 2 Let g(u) be the third derivative of -u**4/24 - u**3/3 - u**2. Let f be g(-2). Suppose -4*k + 7 + 1 = f. Solve -2 = -4*o + k for o. 1 Suppose -84*t + 76*t + 16 = 0. Let l = 4 + -2. Solve -l*a + t = -a for a. 2 Suppose 3*c = j - 4, 4*c + 2*j + 2*j = 16. Let r(u) be the first derivative of -u**2/2 + 2*u - 1. Let f be r(c). Solve -f*a = -a for a. 0 Let r be (20 + -11)*4/3. Solve -8*a - r = -4*a for a. -3 Let l be ((-2)/(-4))/((-4)/(-160)). Suppose -2*g + 5*t + l = 0, -2*g + 19 = g - 2*t. Solve -2*f + g = -7*f for f. -1 Let b = 2 - -7. Let n(z) be the third derivative of -z**4/24 + 8*z**3/3 + 8*z**2. Let x be n(13). Solve -x*g + 6 = -b for g. 5 Let t = -12 - -18. Let j(q) = -2*q + 4. Let i be j(3). Let w = i + 6. Solve -w*b = 6 + t for b. -3 Suppose 17 + 33 = -5*d. Let a = 19 + -33. Let s = d - a. Solve 0 = b - 2 + s for b. -2 Suppose -6*c + 64 = 2*c. Solve 0*p + 2*p - c = 0 for p. 4 Let s be 4/(-3) + 48/36. Let y be (s + -1)/(2/(-6)). Solve 12 = w + y*w for w. 3 Let d be (-2)/(-5) + 184/40. Solve 0 = -d*o + 17 + 8 for o. 5 Let m = -1 - 3. Let y = m - -4. Suppose -d - 2*z - 1 = y, 2*d + 5*z - 5 = -2*d. Solve 5*l = 15 + d for l. 4 Let v(x) = 4*x - 36. Let m be v(9). Solve -2*p + 4 - 8 = m for p. -2 Let n(z) = 5*z + 40. Let m be n(-8). Solve -k + 4*k + 15 = m for k. -5 Let v be 7*(51/7 - 3). Let p be -2*(3 - v/4). Solve 0 = -2*u - u + p for u. 3 Let w be 0/(-2) - (-1 - -1). Let h(v) = 3*v**2 + 5*v + 3. Let p be h(-3). Suppose -5*s - 3*o = -0*s - 57, 0 = -s + 3*o + p. Solve w = -4*q + s for q. 3 Let p be ((-6)/(-5))/(12/40). Suppose -2 = -t - i + 4, -26 = -5*t - p*i. Solve 2*c + 20 = -t*c for c. -5 Let q(k) be the second derivative of k**5/20 - 5*k**4/12 - 5*k**3/6 - 5*k**2/2 - k. Let t be q(6). Let z be (0 - t - 3)/(-1). Solve -h - z = -2 for h. -2 Let l(g) = -21*g**3 - g**2 - g - 1. Let b be l(-1). Solve 3*z = 8*z - b for z. 4 Let w be 3/18 - 59/(-6). Let l = -4 + w. Solve h = -l + 11 for h. 5 Let h = 17 - 2. Solve 5 = 5*c + h for c. -2 Let h(v) = v**2 + 8*v + 9. Let z be h(-7). Solve -z*g + 6*g = -12 for g. -3 Suppose 9 + 5 = 7*b. Solve -7*t + b*t - 20 = 0 for t. -4 Let n = 62 - 54. Solve -5 = 3*s - n*s for s. 1 Let m = 2 - 2. Let p be (-28)/(0 + m + -2). Solve -p - 1 = -3*q for q. 5 Let t(k) = -k. Let f be (-1 - 0)/((-2)/(-4)). Let h be t(f). Suppose v = 4*d + 20, h*d - 5*d - 15 = -2*v. Solve -1 = -v*r + r for r. -1 Suppose -65 = -2*l - 55. Solve -l*r + 11 = -14 for r. 5 Suppose 8*d - 3*d - 65 = 0. Let f = d - 9. Suppose 5*m - 2*b = -3*b + 15, -5*m - 15 = -5*b. Solve 0 = m*o + 8 - f for o. -2 Suppose -3*r + 0*l - 5*l = -8, 4*r - 4*l = 0. Solve 4 = t + r for t. 3 Suppose 3*g - c - 23 = 0, 6*c = 2*c - 20. Let z(u) = -u**3 + 3*u**2 + u - 1. Let i be z(3). Solve -i*k + 14 = g for k. 4 Suppose 0 = -3*h - 1 + 10. Let q be 8/12*h + 1. Solve -4*d = -q*d - 2 for d. 2 Suppose j - 3*f = -2*f + 6, -3*j + 28 = -5*f. Solve -v = j - 0 for v. -1 Let m = -2 - -22. Let a(j) = -j**2 + j. Let h be a(1). Suppose 4*c - 20 + 8 = h. Solve -2*p - c*p = -m for p. 4 Suppose -9 + 101 = 4*o + 3*y, 0 = -3*o + 4*y + 94. Suppose o + 26 = -4*x. Let b = 28 + x. Solve -b = -3*w - 3 for w. 4 Suppose f - 9*f = 0. Solve f*x = x + 5 for x. -5 Suppose -r - 4 = 4*u, 0 = -4*r - r - u - 1. Suppose -20 = -4*d, -2*i - 3*i - 2*d + 30 = 0. Solve 0 = i*z + 4 - r for z. -1 Let t = -5 + 8. Suppose -4*n = -3*b + 5*b + 4, -4*b + 6 = n. Solve 0 = b*o - 13 + t for o. 5 Let q(r) = -r**2 + 8*r - 3. Let s(l) = 3*l**2 - 24*l + 8. Let c(p) = -17*q(p) - 6*s(p). Let k be c(8). Solve -d = -k - 2 for d. 5 Suppose 4*u - 24 = -2*u. Solve -4 = u*x - 16 for x. 3 Suppose 0 = -2*m - m - 18. Let v(d) be the second derivative of d**4/12 + d**3/2 + 7*d**2/2 + 2*d. Let b be v(m). Solve -4*n = n + b for n. -5 Suppose 5*p - 33 = 3*w, -1 = 2*w + 1. Solve 3 = -3*u - p for u. -3 Let m = 6 + -4. Suppose -7 = -d - m*x, 7*x - 8 = 3*x. Solve -n + 1 = d for n. -2 Suppose -3 = -4*m - 3*c, -2*c + 4 = -4*m + 2. Suppose m*z = -4*z + 5*j + 18, -10 = -2*z + 3*j. Solve -z*p + 0*p + 8 = 0 for p. 4 Let k = 2 + 4. Let x be (4/k)/((-26)/(-117)). Solve x*f = 9 - 3 for f. 2 Let u be (12 + 6)/(2*1). Let w be u - (4 + 1*-2). Let p be (-1 - -5)*w/4. Solve o + 3 - p = 0 for o. 4 Let c be 2/(-6) - (-2)/6. Suppose v - t + c*t - 7 = 0, -4*v = 2*t - 10. Solve -2*a = -4 - v for a. 4 Let i be ((-3)/9)/(3/(-45)). Suppose 0 = i*r - 22 - 38. Let n = -6 + r. Solve v + 25 = n*v for v. 5 Let h be (5 - 6)/((-2)/(-4)). Let g be 9 + 0 + 1 + h. Solve 0*c = 2*c + g for c. -4 Let g = -1 - -2. Suppose 1 = -y - 5*j + j, 2*y + 2 = j. Let m be (0/y)/(g + 0). Solve f - 3 = -m*f for f. 3 Suppose 5*c = w - 2, 0 = 4*c - 2*w - 0 + 4. Solve c*f = 2*f - 4 for f. 2 Let a = -169 + 169. Solve -3*l - 12 = -a*l for l. -4 Let m = 199 + -192. Solve b + m = 3 for b. -4 Suppose -5*z + 3*z = 4. Let p be 2/10 - z/(-10). Solve -w + 3 + p = 0 for w. 3 Suppose -5*m - 1 = -2*a, 2*m + 7 = 4*a - 3. Suppose 0 = 4*s - 9 + m. Solve 9 = s*r + 3 for r. 3 Let f = 5 - 3. Solve -f*o = o - 3 for o. 1 Let h(a) = a + 3. Let x(s) = s**3 - 6*s**2 - 6*s - 10. Let l be x(7). Let w be h(l). Suppose 0 = -2*r, -4*c - 5*r - 2 + 10 = 0. Solve w = -c*m + 6 + 4 for m. 5 Let y = -80 - -83. Suppose -3*m - 8 + 32 = 0. Solve y*n - 4 = m for n. 4 Suppose 3 = 2*i - 21. Let g = 17 - i. Let m = 1 - 1. Solve -u + g = -m for u. 5 Let p(b) be the second derivative of 1/20*b**5 + 0 - b - 1/4*b**4 + 1/6*b**3 - 3/2*b**2. Let d be p(3). Solve d = -4*w + 2 + 14 for w. 4
2 + 0 - (-3 + 3 - -1) 1 What is the value of -4 + (-3 - (-9 + 4))? -2 Evaluate -12 + 9 + -1 + -4 + 3. -5 Evaluate 0 + 10 - (10 - 5). 5 What is the value of -5 + -2 - (45 + -53)? 1 -3 + 3 + (0 - (3 - 1)) -2 Calculate 12 + -2 - 21 - -18. 7 Calculate 6 + 0 - (0 + 7). -1 Calculate (-1 - (-5 + -2)) + 3 + -4. 5 Calculate 0 + -4 + 0 + -2. -6 Evaluate 2 + -1 + 8 + (-2 - 2). 5 -6 + 3 + -6 + 4 -5 -3 + (8 - 4) - -9 - 6 4 Evaluate -5 - (-11 + 1 - 0). 5 What is the value of -1 - (-6 + -1 + 3)? 3 Evaluate (-2 + -1 - (26 + -24)) + 8. 3 What is 2 + -9 + (-4 - -19)? 8 What is the value of 8 - (-6 - (-15 - -5))? 4 -3 + 6 + -4 + 4 + -5 -2 Evaluate 2 + -2 + 4 + 0 + 0. 4 -8 + 8 + 6 + -4 2 -2 + 6 + -4 + 4 + 1 5 Calculate -3 - -3 - -15 - 10. 5 What is the value of -4 - ((0 + 0 - -2) + -1)? -5 Evaluate -8 + (4 - (1 - (1 + -1))). -5 Evaluate 2 + 0 - 1 - (-14 - -10). 5 Evaluate (-2 - 1) + -3 + (4 - -1). -1 Calculate -7 + 3 + 0 + 6 + -2. 0 Evaluate (2 - -3) + -9 + 0 + 2. -2 Calculate -14 - (-5 + -2) - -5. -2 -3 - -4 - -4 - 10 -5 Evaluate 2 + -2 - (3 + -2 + 3). -4 Evaluate 2 + 0 + 1 - (-3 - -4). 2 What is 3 + (-2 - -1 - (-50 - -56))? -4 Evaluate (6 - 7) + -5 + 10 - 2. 2 Evaluate 8 + (5 - 8) + -5 + 0. 0 Evaluate 1 + -5 - (-1 + (-6 - -1)). 2 What is 1 + -6 + (-24 - -25)? -4 What is the value of (4 - (-2 + 4 + 2)) + -6? -6 Calculate 6 + -4 + -3 - 0. -1 3 + (-7 - (3 + -2 - 2)) -3 What is the value of 0 - (2 - -1 - 5)? 2 What is 8 + -8 + (9 - 2)? 7 Calculate 12 + -16 + (1 + 5 - -1). 3 -4 + 2 - (66 + -66) -2 What is 1 - -2 - 9 - -8? 2 What is 6 + -3 - (2 + (3 - 3))? 1 What is 3 + -4 + 2 + 3? 4 What is 1 + -5 + -32 + 42? 6 What is (7 - 10) + (2 - -1)? 0 Evaluate -1 - (1 + -3 + (1 - 2)). 2 (0 - 5) + -5 + 9 -1 2 - (-4 - -9) - (4 + -3) -4 What is 10 + (12 - 23) - (-1 + -2)? 2 Evaluate (-5 - (-6 + -4)) + 0 + -5. 0 Calculate -1 + (2 - 6) - -2. -3 Calculate 3 - (1 + (-6 - (4 - 18))). -6 Calculate -4 - (8 + (-17 - -9)). -4 Evaluate 3 + -12 - (2 - 5). -6 Calculate 10 + -12 - (4 + -2 - 4). 0 -1 - (-1 + -3 + 9 + -3) -3 (1 - 2 - 2) + 6 3 What is the value of 0 - ((2 - -3) + -3)? -2 Calculate 17 - 17 - (0 + 5). -5 5 + (1 - (0 + -4 + 10)) 0 -8 + (2 - (9 - 6)) + 6 -3 0 - -4 - (77 - 69) -4 -5 + (8 + -2 + 2 - 6) -3 Evaluate -2 + 12 + -10 + 3. 3 33 + -32 + (0 - 1) 0 What is the value of 3 - (0 + (0 - -3) + -4)? 4 Calculate 0 - 3 - (-2 + -3) - 7. -5 What is the value of (0 - -2) + (5 - (1 - 2))? 8 2 - 2 - (-1 - (-2 - -1)) 0 What is -38 + 32 + (0 - -9)? 3 Calculate -4 - 3 - (3 + (2 - 6)). -6 Evaluate -2 - (-17 + 8 - -4). 3 What is the value of -1 + (-5 - -1) - -2? -3 What is (1 + 8 - (-2 + 7)) + 0? 4 -7 + (10 - 3) + -4 -4 What is (1 - -5 - (39 - 38)) + 2? 7 What is (6 - -1 - 19) + 5? -7 What is the value of 1 + (-1 - 1) + 2? 1 (-6 - (-6 + 1)) + 6 5 What is the value of 0 + -4 + -1 + -1 + 4? -2 -5 - -6 - (0 + -3) 4 Calculate -217 + 227 + (-2 - -1). 9 Calculate (-14 + 5 - -6) + 8. 5 Calculate -11 - (8 + -8) - -15. 4 -2 + 6 + -8 + 4 0 Evaluate (-1 - 3) + (-7 + 5 - 0). -6 (-9 - (-2 - 2) - -4) + -1 -2 What is (-8 - -3) + (-8 - -7)? -6 What is -2 + (3 - 4) + (0 - -2)? -1 Calculate 0 + 2 - (-3 + -1 + 0). 6 What is 2 - ((14 - 1 - 6) + -8)? 3 Evaluate 5 + (21 + -23 - (1 - 1)). 3 Calculate -1 + (10 + -7 - (1 - -1)). 0 What is the value of 1 + -4 - (31 - 38)? 4 Calculate 0 - -3 - 4 - -4. 3 What is 3 - 3 - (7 + -2)? -5 Evaluate (-9 - 1) + (3 - -1) + 7. 1 Calculate -3 - (1 + 2) - -4. -2 Evaluate (-5 - -1) + (4 - 0) + 5. 5 What is the value of 97 - 100 - (1 + 4 + -2)? -6 What is the value of -3 - ((0 - 7) + (17 - 13))? 0 Evaluate 12 - (19 + -12 + 10). -5 4 + (2 + (5 - 2) - 8) 1 -17 - -10 - 4 - -19 8 (-4 - -1) + (3 - 1) - -4 3 What is the value of -4 + (9 - (2 + -1))? 4 What is 0 + 5 - (64 + -61)? 2 -6 - (6 + -10) - (5 + -2) -5 What is 3 + (-3 - 4) + (2 - -2)? 0 What is the value of -1 - (18 + -9 - 16)? 6 What is 4 - (4 - 3) - (-1 - 1)? 5 -12 - (-6 - 2) - -8 4 Evaluate 5 + -2 - ((2 - 2) + 0). 3 (-1 + 5 - 3) + 1 2 What is the value of -17 + 12 - (1 + -1)? -5 What is 2 + (2 - -3) + -6 + 0? 1 What is (-2 - 0) + 4 + -5? -3 Evaluate 4 + (-8 - 0) + 1 + 2. -1 Calculate 2 - ((-5 - -6) + 3). -2 Evaluate -7 + 9 - (1 - 2). 3 What is the value of 3 + -6 - (7 + -6)? -4 Evaluate -1 + -2 + (2 - 1) + -2. -4 Evaluate -8 + 11 - ((0 - -2) + 5). -4 Evaluate -14 + 12 + (0 - 2). -4 Calculate (-6 - -4) + (0 - -4 - 2). 0 What is the value of 0 + 3 - (10 - 7 - 2)? 2 Evaluate -75 + 71 - ((0 - 3) + 0). -1 Evaluate 0 + 4 - (1 - -1). 2 Calculate -41 + 48 + 2 + -4. 5 Evaluate 3 - (-4 + (1 + 0 - -7)). -1 Evaluate 5 + (-5 - -1) - (1 - 0). 0 Calculate -2 + -7 + (6 - (-6 + 10)). -7 3 + -1 - 7 - 0 -5 Calculate 0 + -5 + 1 - -8. 4 What is the value of (4 - 4) + (4 - 2)? 2 (-1 - 0) + -14 + 19 4 What is (-3 - -1 - 0 - -2) + 1? 1 What is the value of 0 - (2 + 5 + -5)? -2 Evaluate 1 - (6 + -1) - -1. -3 What is the value of 73 + -74 + (1 - (0 - -1))? -1 Calculate -4 + (-5 - (-4 - 0)). -5 Calculate 0 + 1 - -4 - (0 - -4). 1 Evaluate -7 - (0 + (9 - 20)). 4 Evaluate (5 - 7) + 0 - -9. 7 Calculate 2 - 6 - ((2 - 4) + 1). -3 What is the value of -2 - ((-20 - -16) + (-2 - -1))? 3 Evaluate -14 + 9 + 1 + -1 + 1. -4 What is -11 + (13 - (4 - -3))? -5 What is the value of (66 - 89) + (-2 - -16)? -9 6 - (4 - (5 - 3)) 4 Evaluate -2 + -4 - -7 - -4. 5 What is -3 + 6 + -6 + -2? -5 7 + -5 + 9 + -8 3 Calculate 4 + 0 + -3 + 4. 5 Evaluate -135 + 136 - (-1 + 8). -6 What is (2 - (-1 + -2 + 2)) + -8? -5 What is the value of (5 - (6 + 3)) + 3 + 9? 8 What is the value of (-2 - (7 + -7)) + 1 - 1? -2 (5 + (0 - -1) - 1) + -8 -3 -8 + 4 + 6 + 2 4 What is the value of -3 - ((-6 - -11) + -3)? -5 -2 + -2 - (-15 - -9 - -5) -3 64 + -53 - (1 - -7 - 0) 3 Calculate -2 - (0 - -1) - (-1 + -2). 0 What is the value of (-4 - 1) + (1 - (19 - 17))? -6 What is 0 + (0 - (1 - 2)) + 2? 3 Evaluate (0 - 3 - 3) + 3 + 2. -1 (-15 - -10) + 9 + -2 2 What is -3 + -3 + -6 + 11? -1 Calculate (-2 - (3 - 1)) + 1 + 2. -1 (8 - 3) + -4 - -2 3 Calculate 2 + 0 - (-8 + 19 + 0). -9 What is the value of -2 - 2 - 1 - -4 - 1? -2 Evaluate (-1 - -5) + 6 + (-2 - -2). 10 Evaluate 3 + (-2 - -3) - (0 - -3). 1 Evaluate 2 - 0 - -2 - (-1 + 2). 3 What is the value of 3 - (7 + -4) - 5? -5 What is the value of -9 - (0 - 15 - -7)? -1 Calculate -7 + 1 + -2 + 3. -5 What is the value of -4 + 7 + -6 + -2? -5 Calculate -4 + -1 + -2 + (2 - 0). -5 17 + (-9 - 1) + (3 - 2) 8 What is the value of 1 - 0 - (8 + (-7 - 2))? 2 What is 28 + -22 + -5 + 7? 8 (1 - 9) + 1 - -1 - -4 -2 Calculate (4 - (5 + 5)) + (-6 - -12). 0 Evaluate 0 + -3 + 6 + -4 + 2. 1 Evaluate 2 + (1 - 3 - -4). 4 What is 6 - (5 + 6 + -6)? 1 What is the value of 0 + 1 - (1 - (-5 - -2))? -3 Calculate -1 + (4 - 7) - -2. -2 Evaluate 13 + 0 + -12 - 4. -3 -3 - (-4 - (-2 + -4)) -5 Calculate (-18 - (-12 + -9)) + 2 + 0. 5 What is the value of 7 + -2 + 3 + 0 + -3? 5 What is (5 + -3 - 1 - 1) + 2? 2 What is the value of (5 - 8) + (3 - 7 - -17)? 10 Calculate (4 - (2 + 3 + 4)) + 5. 0 Calculate 6 + -9 + 4 + 8. 9 Calculate (-1 - 0) + (8 + 1 - 4). 4 What is the value of -2 - (-9 + 19) - -2 - -8? -2 Evaluate -2 - -1 - (8 - 9). 0 4 - (8 - 2) - -4 2 Calculate (1 + 3 - (-5 + 4)) + -5. 0 What is (2 - -2) + -7 + -7 + 11? 1 What is the value of -4 + (-3 - 2) + 10? 1 (-6 - 0) + 11 - (5 - 2) 2 Evaluate (7 - 12) + -2 - -11. 4 -5 - (-4 + 2) - (0 - 4) 1 Calculate -6 + -15 - -9 - -12. 0 What is (-2 - (-7 - -12)) + 8? 1 Evaluate 0 + (-5 - -8) - (2 - -3). -2 Evaluate (-6 - -3) + 0 + (1 - -5). 3 What is -4 - (2 + (-1 - 3))? -2 Evaluate (6 - (1 + -1)) + -4. 2 What is -2 - (-4 + (0 - -8) + -3)? -3 What is 1 + 2 - 2 - 3? -2 Calculate (-1 - 2) + (16 - 13) + -5. -5 What is (4 - 1) + -1 + 1? 3 Evaluate -1 - (6 + -12) - 4. 1 (3 + 6 - 6) + -7 -4 Calculate (21 - 11) + -19 - -4. -5 Evaluate 9 - (-24 + 38 - (0 - -7)). 2 What is -12 - ((-1 - 5) + -1)? -5 Evaluate 0 - (-6 + 2 + 1). 3 Evaluate -4 + -11 + 18 + -10. -7 What is (-12 - -14) + (-5 - 3)? -6 Calculate -4 + 1 + 15 + -12. 0 What is the value of 0 + (5 - 1) + -5? -1 Evaluate (-5 - -6) + (2 - 1) + -1. 1 What is the value of 5 - 4 - 3 - 4? -6 What is -1 - -4 - 4 - (-5 - -10)? -6 What is -3 + (0 - -2) + (2 - -1)? 2 Calculate 3 + (-4 - -1) + -6. -6 What is 9 - 13 - (2 - 6)? 0 66 + -68 + 0 + 0 -2 -4 + (-2 - (-1 - 2)) -3 Evaluate (2 - (1 + 1)) + (-15 - -16). 1 Calculate 0 - 2 - (-1 + (3 - 5)). 1 What is -1 + -7 + 3 - (-4 - -3)? -4 What is the value of -4 + 1 + (3 - -1 - 3)? -2 What is (-19 - (-19 - 0)) + -1 + 7? 6 Calculate -2 - (-8 + 8 - 2). 0 2 + -10 + (-5 + 3 - -5) -5 What is the value of 1 - 3 - (0 - -1)? -3 -12 - (-13 + (1 - -10)) -10 What is -1 + -5 + 0 + 10 + -4? 0 Evaluate 4 + -1 + (-2 - -1) + 1. 3 0 + (2 - (1 + 4)) + 3 0 What is the value of 0 - (3 + 1) - (-1 - -1)? -4 Calculate -3 - (-1 - ((-4 - -3) + 0)). -3 -2 - (-2 - -1 - -3 - 0) -4 What is the value of 13 + -11 - (0 + 2)? 0
Let d = -25 + 13. Let x be (-3)/(-9) - (128/d)/(-2). Let a(f) = -3*f**2 + 5*f. Let t(u) = -4*u**2 + 8*u. What is x*t(r) + 8*a(r)? -4*r**2 Let f(n) = 11*n - 2. Let a(o) be the second derivative of 5*o**3/6 - o**2/2 - 60*o. What is -5*a(i) + 2*f(i)? -3*i + 1 Let o(g) = -13. Let q(k) = k**3 + 12. Determine -2*o(b) - 3*q(b). -3*b**3 - 10 Let h(u) be the first derivative of -9*u**2/2 + 7*u + 7. Let q be h(0). Let t(z) = -5*z**3 + 5*z - 5. Let s(g) = 9*g**3 - 9*g + 9. Calculate q*t(v) + 4*s(v). v**3 - v + 1 Let o(m) = -2*m + 3. Let c(d) = -168*d + 45. Calculate -2*c(x) + 30*o(x). 276*x Let x(d) = 1. Let f(p) = p - 3. Suppose -2 + 0 = -b, b = k - 3. Suppose k*l = -w + 18, -w + 7 - 25 = -4*l. Let s be 1 - (-5 + 3 + l). Give s*f(z) - 3*x(z). -z Let s(t) = 4*t**2 + 2*t + 1. Let f(w) = 13*w**2 - w - 27. Determine -f(g) + 3*s(g). -g**2 + 7*g + 30 Let x(j) = 897*j**2. Let d(f) = 39*f**2. What is -91*d(h) + 4*x(h)? 39*h**2 Let c(a) = -a + 2. Let z(b) = 173*b + 7. Give 2*c(f) - z(f). -175*f - 3 Let m(z) = 24*z**3 - 2*z**2 + 4. Let d(h) = -h**3. Calculate -12*d(o) - m(o). -12*o**3 + 2*o**2 - 4 Let a(u) = -15*u**2 + 16*u - 6. Let o(d) = -d**2 - 1. Give a(c) - 4*o(c). -11*c**2 + 16*c - 2 Let i(t) = -5. Let g(b) = b + 1. Let o = 181 + -182. What is o*i(m) - 5*g(m)? -5*m Let f(d) = d**2 - 4*d. Suppose -9*s - 19 = 62. Let g be -8 - (s/(-27) + 13/(-3)). Let r(t) = t. Calculate g*r(z) - f(z). -z**2 Let h(z) = -2*z**3 - 6*z - 6. Let x(i) be the first derivative of -i**2/2 - i - 171. What is -2*h(d) + 12*x(d)? 4*d**3 Let z(o) = 6*o + 39. Let l be z(-7). Let q(w) = -w**3 + w**2 - w + 1. Let d(f) = -5*f**3 + f**2 - 2*f + 3. Calculate l*q(k) + d(k). -2*k**3 - 2*k**2 + k Let i(z) = -z**2 - 8*z + 4. Let r be i(-8). Suppose y - 9 = 4*y. Let v be (0 + y)/(-3) - -4. Let c(g) = -5*g - 2. Let t(k) = 6*k + 2. What is r*t(o) + v*c(o)? -o - 2 Let a(o) = 4 - 5 + 0. Let u(f) = -12 + 4*f - 16 - 6*f + 24. Determine 3*a(r) - u(r). 2*r + 1 Let o(a) = a - 3. Let n be o(3). Suppose 3*y - 5 + 2 = n. Let p(c) be the third derivative of c**4/6 - c**3/3 + 8*c**2. Let s(r) = r. Give y*p(t) - 6*s(t). -2*t - 2 Let y(s) = 7*s - 5 - 3*s + 5*s + 3*s**2. Let f(w) be the second derivative of -w**4/12 - 2*w**3/3 + w**2 + 127*w. Calculate 5*f(i) + 2*y(i). i**2 - 2*i Let n(l) = -6*l**2 - 15*l + 277. Let o(f) = f**2 + 2*f - 39. What is -2*n(z) - 15*o(z)? -3*z**2 + 31 Let g(x) = -x**2 + 3*x - 3*x - x**3. Let w(m) be the first derivative of 7/3*m**3 + m + m**4 + 0*m**2 - 1. Give -5*g(u) - w(u). u**3 - 2*u**2 - 1 Let o = 23 + -6. Let i(t) = -6*t. Let y(n) be the first derivative of -n**2 + 1. Let j be (24/(-21) + 2)/(16/(-112)). Determine j*i(u) + o*y(u). 2*u Let u(r) = -1179*r**3 - 5*r. Let c(j) = 1769*j**3 + 8*j. What is -5*c(x) - 8*u(x)? 587*x**3 Let c(z) = z**3 - 5*z**2 + 6*z + 3. Let v(r) = r + 1. Calculate c(j) - 4*v(j). j**3 - 5*j**2 + 2*j - 1 Let x(b) = 3*b**2 + 1. Let g(j) = 5*j**3 + 21*j**2 - 8*j - 3. Let n(v) = g(v) - 5*x(v). Let q(i) = 3*i**3 + 4*i**2 - 5*i - 5. What is -5*n(a) + 8*q(a)? -a**3 + 2*a**2 Let b(f) be the third derivative of -f**3/6 + 763*f**2. Let w(t) = 3*t + 8. Give -6*b(h) - w(h). -3*h - 2 Let u(o) = o**2 + o - 4. Let h(q) = 8*q**2 - 58*q - 21. Calculate h(z) - 5*u(z). 3*z**2 - 63*z - 1 Let z(f) = -77*f. Let b(q) = -156*q. Give 6*b(p) - 13*z(p). 65*p Let b(k) = 70*k - 94*k + 25*k. Let j(c) be the second derivative of 5*c**3/3 + c**2/2 - c. Give 18*b(l) - 2*j(l). -2*l - 2 Let m(b) = -7*b**3 + 19*b**2 + 12. Let u(f) = 22*f**3 - 58*f**2 - 38. Calculate 16*m(p) + 5*u(p). -2*p**3 + 14*p**2 + 2 Let h(q) = 2*q**2 + 5*q + 5. Let p(o) = -3*o**2 - 6*o - 6. Suppose -26*n - 6*n + 192 = 0. What is n*h(c) + 5*p(c)? -3*c**2 Let d(y) = y + 5. Let p(c) = c. Suppose -2 = 3*x - 2*h, -18*h = 3*x - 22*h - 2. Calculate x*p(g) + d(g). -g + 5 Let u(b) = -b**3 - b + 1. Let h(a) = -a**3 - a + 1. Let j be (0 + 5)*(-1 - 0). Let z(g) = -10*g**3 - 13*g + 13. Let x(t) = j*h(t) - z(t). Give 18*u(n) + x(n). -3*n**3 Let l(d) = -7*d. Let u(r) = 2 - 8 + 4 + 2 - 20*r. What is -10*l(c) + 3*u(c)? 10*c Let q(j) = j**3 + 13*j**2 + 8. Let y(c) = -c**3 - 14*c**2 - 10. Determine 6*q(b) + 5*y(b). b**3 + 8*b**2 - 2 Let s(f) = 21*f**2 - 4*f + 4*f - 20*f**2 - f. Let y(m) = -4*m**2 + 4*m. Determine -26*s(k) - 6*y(k). -2*k**2 + 2*k Let m(a) = 6*a**2 - 6*a - 3. Let x(h) = h**2 + h - 2. Let z(n) = n**2 + 12*n - 10. Let l(b) = -6*x(b) + z(b). Give -5*l(c) - 4*m(c). c**2 - 6*c + 2 Let j(x) = x + 1. Let h(u) = -13*u**3 + 7*u**2 - 3*u - 3. Let s(w) = -14*w**3 + 8*w**2 - 4*w - 4. Let b(g) = 6*h(g) - 5*s(g). Calculate -b(p) + 2*j(p). 8*p**3 - 2*p**2 Let y(x) = -x - 1. Let s(k) be the first derivative of -k**2 - k + 13. What is 3*s(r) - 7*y(r)? r + 4 Let o(d) = 2*d**3 - 3*d**2 - 3*d. Let t(j) = -j**3 + j**2 + j. Let u(a) = -5*a - 123. Let p be u(-25). Give p*o(y) + 6*t(y). -2*y**3 Let j(p) = -952 - p + 951 - p**3 + 2*p**3. Let q(n) = -2*n**3 + n - 1. Let h be ((-6)/(-9))/(8/12). What is h*q(y) + j(y)? -y**3 - 2 Let n(q) = -4*q - 4. Let v(f) = 7*f**2 - 79*f + 24. Let b be v(11). Let m(u) = -u - 1. Determine b*n(o) - 6*m(o). -2*o - 2 Let m(c) = 5*c. Let g be m(1). Suppose 6 + 19 = -g*z. Let f(w) = 0*w - 2*w**2 - 4*w - 3*w**2 + 5*w. Let l(t) = 6*t**2 - t. What is z*f(q) - 4*l(q)? q**2 - q Let j(f) = 2*f**2 + 6*f - 2. Let q be 9/(-2)*(-8)/18. Let z(v) = -2 - 21*v - 17*v + 43*v + q*v**2. Let t = 18 - 13. Calculate t*j(n) - 6*z(n). -2*n**2 + 2 Let q(b) = b**2 + 12*b - 17. Let h(g) = -2*g + 1. Give 6*h(k) + q(k). k**2 - 11 Let a(h) = -11*h + 1 + 10*h - h - 3*h**2 + 0. Let m(y) = -y**2 + y. Give -a(g) + 4*m(g). -g**2 + 6*g - 1 Let v(s) = 5*s**2 - 34*s. Let o(q) = -12*q**2 + 68*q. Determine 2*o(b) + 5*v(b). b**2 - 34*b Let s(j) = 4*j. Let p(c) = -2*c - 92. Calculate -p(a) - s(a). -2*a + 92 Let t(r) = -r + 6. Let k = 48 - 45. Suppose 9 = k*p + 5*o - 17, -12 = 4*p - 5*o. Let u(f) = -5. Calculate p*t(n) + 3*u(n). -2*n - 3 Let v(t) = 2*t - 2. Let k(d) = 3*d - 7. Let y(m) = -190 + 15*m + 68*m - 3*m. Let q(n) = 55*k(n) - 2*y(n). Let j be 2 + -18*(-2)/4. Calculate j*v(h) - 4*q(h). 2*h - 2 Let q(x) = 3 + 4 + 5*x - 4 + 8. Let r(k) = 2*k + 5. Determine -3*q(h) + 7*r(h). -h + 2 Let j(v) = -1615*v**2. Let i(x) = -7*x**2. What is -285*i(o) + j(o)? 380*o**2 Let l(q) = 98*q**3 + 4*q + 3. Let k(c) = -394*c**3 - 18*c - 13. Determine -6*k(m) - 26*l(m). -184*m**3 + 4*m Let u(a) be the first derivative of 2*a**3/3 + 3*a**2 + 9*a - 46. Let r(m) = m**2 + 3*m + 5. What is 5*r(k) - 3*u(k)? -k**2 - 3*k - 2 Let p(w) = 7*w**3 + 8*w**2 - 4*w + 4. Let m(q) = 19*q**3 + 23*q**2 - 12*q + 11. Give 4*m(s) - 11*p(s). -s**3 + 4*s**2 - 4*s Let n(p) = -2*p + 16*p**2 - 4*p + 5 - 8 - 17*p**2. Let v(k) = -2*k**2 - 7*k - 4. Give -3*n(c) + 2*v(c). -c**2 + 4*c + 1 Let d(u) = 17*u**3 - 7*u**2 - 13*u. Let c(k) = 19*k**3 - 6*k**2 - 12*k. Determine 7*c(s) - 6*d(s). 31*s**3 - 6*s Let c(r) = 3*r + 69. Let d be c(-29). Let m(w) = w**3 - 2*w**2 - 2. Let u(h) = 3*h**3 - 9*h**2 - 9. Give d*m(l) + 4*u(l). -6*l**3 Let i be 3 - 3 - (-4 - -1). Suppose 47 - 14 = -i*v. Let y(r) = -2*r + 6. Let n(l) = 6*l - 17. Give v*y(m) - 4*n(m). -2*m + 2 Let b = 7 - 5. Let k(j) = -2 + j - 2*j**b + 2. Let a(n) be the first derivative of -n**4/4 + 7*n**3/3 - 2*n**2 + n + 532. Determine -2*a(g) - 7*k(g). 2*g**3 + g - 2 Let x(y) be the third derivative of y**6/24 - 7*y**5/60 + 7*y**3/3 - 2*y**2 + 2. Let i(k) = -2*k**3 + 2*k**2 - 5. Calculate 8*i(u) + 3*x(u). -u**3 - 5*u**2 + 2 Let o(s) = 1. Let z(t) be the second derivative of -3*t**4/4 + 3*t**2 - 9*t - 1. What is -6*o(n) + z(n)? -9*n**2 Let z(n) = 27. Let u(t) = 5. Let o(y) = 11*u(y) - 2*z(y). Let x(g) = -g - 2. Give -5*o(b) - x(b). b - 3 Let x(o) = 3*o**2 + 7*o - 2. Let w(h) = -h**2 + h - 1. Let n(i) = -7*i**2 + 3*i - 5. Let y(a) = n(a) - 6*w(a). What is -4*x(l) - 10*y(l)? -2*l**2 + 2*l - 2 Let u(r) = 6*r**3 - 7*r**2 - r + 6. Let x(i) = -6*i**3 + 6*i**2 + 2*i - 8. Determine -3*u(h) - 2*x(h). -6*h**3 + 9*h**2 - h - 2 Let c(b) = -1. Suppose 5*m - 18 = -s, -3*m + 6*m - 38 = -4*s. Suppose 5*o - 14 = 2*x, x = -4*x - o - s. Let i(h) = -h**2 - 2*h + 7. Determine x*i(l) - 14*c(l). 2*l**2 + 4*l Let z(x) = x**2 - 7 + 5 + 9 + 4*x. Let m be (18/15)/(45/75). Let v(l) = -l - 1. Let h(f) = 1. Let g(a) = h(a) - 2*v(a). Give m*z(b) - 5*g(b). 2*b**2 - 2*b - 1 Let i(s) be the third derivative of -s**4/24 - s**3/2 - 9*s**2. Let l(f) = -1. Let b be 0*(1 + 0)*-1. Let q be (b - (-3)/3)/1. What is q*i(o) - 5*l(o)? -o + 2
Does 166 divide 195262148? True Does 26 divide 11103301? False Is 693089865 a multiple of 45? True Is 88163034 a multiple of 716? False Is 227 a factor of 831605985? False Is 177658416 a multiple of 26? True Does 90 divide 15313075? False Is 287244984 a multiple of 39? True Is 3019596 a multiple of 3? True Is 611915112 a multiple of 13417? False Is 112759592 a multiple of 44? True Is 3264 a factor of 114847104? True Does 16 divide 33349556? False Is 45167450 a multiple of 25? True Is 22899473 a multiple of 85? False Does 49 divide 35514062? False Does 3952 divide 108967304? False Is 103 a factor of 244868835? False Does 22 divide 594616682? True Does 315 divide 108740324? False Is 14059066 a multiple of 2177? True Is 53 a factor of 63199956? True Is 194829273 a multiple of 20? False Is 47563140 a multiple of 868? False Does 46 divide 3071099493? False Does 10 divide 43097610? True Does 66 divide 304889640? True Is 914 a factor of 25986275? False Is 55922531 a multiple of 149? True Is 998 a factor of 1764587949? False Does 50 divide 105357653? False Does 1357 divide 688274063? False Does 31 divide 42954902? True Does 1254 divide 310411398? True Does 30 divide 21700710? True Does 244 divide 30266004? True Is 82852926 a multiple of 403? False Is 827 a factor of 38752851? False Does 571 divide 62961595? False Is 1232 a factor of 49304760? False Does 158 divide 1418148945? False Is 343 a factor of 39691789? False Is 397 a factor of 3343484939? False Does 14 divide 7312643? False Is 178836955 a multiple of 49? False Does 250 divide 34648333? False Is 515970936 a multiple of 39? True Is 32177380 a multiple of 54? False Is 1137 a factor of 680555898? True Does 77 divide 29789606? True Does 55 divide 201045579? False Does 2195 divide 52298375? False Does 59 divide 39247508? True Is 6988 a factor of 1391446378? False Is 719 a factor of 1345249? True Does 16 divide 877880896? True Does 83 divide 6560864? False Is 34067700 a multiple of 18? True Does 522 divide 36146746? False Is 3676 a factor of 11178716? True Does 72 divide 86550408? True Is 2225524 a multiple of 1129? False Does 6 divide 1767120? True Does 266 divide 156561748? True Is 81 a factor of 463656? False Does 531 divide 7382493? True Is 3302324212 a multiple of 13123? True Is 14 a factor of 22804637? False Does 1615 divide 169620809? False Is 82224954 a multiple of 69? True Is 37 a factor of 478576598? False Does 10685 divide 4782163866? False Does 474 divide 902102060? False Does 9522 divide 1136126952? True Does 6687 divide 968665446? True Does 4630 divide 445965767? False Is 695864866 a multiple of 34? False Is 19032615 a multiple of 1035? True Is 8 a factor of 128985592? True Is 226772555 a multiple of 1903? False Is 579 a factor of 1743291596? False Is 25 a factor of 61511225? True Is 2493521 a multiple of 15? False Is 739883760 a multiple of 77? True Does 11 divide 507949657? False Is 40 a factor of 5487720? True Does 4060 divide 182160077? False Does 582 divide 1978869289? False Does 4 divide 270537? False Is 925357620 a multiple of 12970? True Is 271811078 a multiple of 218? False Is 32 a factor of 3607200? True Is 1209 a factor of 67140346? False Does 220 divide 22313940? True Is 6818850 a multiple of 46? False Is 231428415 a multiple of 2718? False Is 332 a factor of 86294361? False Does 19 divide 1466178339? True Is 4411595430 a multiple of 18? True Does 2757 divide 107636037? True Is 132493992 a multiple of 8? True Is 10 a factor of 3956380? True Is 2898865900 a multiple of 175? True Is 9 a factor of 161359227? True Does 35 divide 36500485? True Is 24989936 a multiple of 255? False Is 27 a factor of 975568914? True Does 76 divide 455955604? False Is 493688682 a multiple of 103? True Is 445983447 a multiple of 1911? True Is 282492356 a multiple of 548? True Is 6 a factor of 902254094? False Does 109 divide 1066843495? True Does 11 divide 37025186? True Is 27338128 a multiple of 1048? True Is 149 a factor of 167751701? False Is 27 a factor of 1013883615? True Does 226 divide 6583380? True Is 344277233 a multiple of 1259? False Is 1655443722 a multiple of 3651? True Is 650 a factor of 1234943495? False Is 26 a factor of 579451314? True Is 55 a factor of 3057619124? False Is 189605160 a multiple of 120? True Is 958 a factor of 607736040? True Does 442 divide 38034984? True Is 2589688973 a multiple of 6299? True Is 309980224 a multiple of 1989? False Is 28 a factor of 120033760? True Is 34 a factor of 138514616? False Is 4897 a factor of 125392582? True Is 11 a factor of 294907767? True Is 3524 a factor of 95306189? False Is 23692105 a multiple of 554? False Is 3361 a factor of 84737532? True Does 25 divide 5179713941? False Is 15 a factor of 521510895? True Is 1936 a factor of 5870421154? False Is 177 a factor of 13134462? True Is 148 a factor of 105866176? True Is 102 a factor of 2136095367? False Does 2361 divide 160470087? True Does 53 divide 256201809? False Is 668176897 a multiple of 112? False Is 4368814608 a multiple of 3282? True Does 4 divide 38164667? False Does 47 divide 60776029? True Is 4 a factor of 15592609? False Is 2386 a factor of 755636656? True Is 67247026 a multiple of 566? True Is 3196044 a multiple of 36? True Is 2189 a factor of 96460666? False Does 119 divide 30822946? False Is 269 a factor of 65767426? False Is 590 a factor of 419235120? True Is 11 a factor of 2060898736? False Is 415 a factor of 89758963? False Is 1525 a factor of 423657200? True Is 15908303 a multiple of 2? False Does 5 divide 22447515? True Is 81 a factor of 48992769? True Is 12 a factor of 23839788? True Is 19573944 a multiple of 35? False Does 237 divide 72962109? True Is 4 a factor of 529064? True Is 451 a factor of 4060353? True Does 3 divide 24311104? False Is 96 a factor of 71348832? True Does 20 divide 804957261? False Does 175 divide 185828077? False Is 116 a factor of 407649520? True Is 670 a factor of 360501686? False Is 37055850 a multiple of 310? True Does 4 divide 203123942? False Does 1962 divide 65636748? True Does 497 divide 24821472? False Is 29 a factor of 5331360? True Does 579 divide 1464244680? True Does 907 divide 3052436624? False Is 4 a factor of 7662651? False Is 72484024 a multiple of 91? False Is 18209316 a multiple of 1805? False Does 50 divide 452200? True Is 12 a factor of 248173272? True Is 231 a factor of 1448971063? False Does 5154 divide 1631181045? False Is 14872 a factor of 3806369202? False Is 3269 a factor of 108288894? True Does 85 divide 140184092? False Is 21 a factor of 717487334? False Is 499283980 a multiple of 32? False Does 45 divide 8045685? True Does 881 divide 15880906? True Does 109 divide 361675431? False Is 362 a factor of 146449944? False Is 191917404 a multiple of 3348? True Does 161 divide 25047092? True Is 76 a factor of 659767984? False Is 5 a factor of 3103875? True Does 988 divide 211689560? False Is 1349 a factor of 17760934? True Is 430937935 a multiple of 43? False Does 3296 divide 1039479296? True Does 199 divide 153678148? True Is 3861314 a multiple of 10? False Is 291 a factor of 798334638? True Is 855624 a multiple of 66? True Does 10 divide 496490110? True Is 1197 a factor of 45108945? True Does 8 divide 27544474? False Does 3324 divide 187147776? False Is 88297938 a multiple of 18? True Is 154 a factor of 5464051425? False Does 687 divide 33052060? False Does 78 divide 478550668? False Is 197485224 a multiple of 161? False Is 40 a factor of 37037640? True Is 2 a factor of 5550416? True Is 1149 a factor of 78943194? True Is 11 a factor of 22875392? False Does 158 divide 1370398148? True Is 81854580 a multiple of 20? True Is 65658912 a multiple of 1282? True Is 1131514963 a multiple of 387? False Is 9 a factor of 97898841? True Is 390445432 a multiple of 1047? False Does 20 divide 226281700? True Is 55329665 a multiple of 248? False Is 25423416 a multiple of 216? True Is 17 a factor of 695098329? True Is 8309371 a multiple of 511? True Does 2404 divide 58259510? False Is 206595109 a multiple of 2? False Is 154378601 a multiple of 2? False Is 87 a factor of 216926829? False Is 112476304 a multiple of 273? False Is 7996256 a multiple of 97? False Is 6 a factor of 104890? False Is 3251882 a multiple of 178? True Is 29626043 a multiple of 1445? False Does 24 divide 1761385248? True Does 657 divide 28271588? False Does 16 divide 11296205? False Does 612 divide 143079480? True Is 17 a factor of 2558343906? True Is 2321 a factor of 70963945? False Is 1396225908 a multiple of 42? True Is 8 a factor of 96994690? False Is 6133398992 a multiple of 13328? True Is 1625 a factor of 53537098? False Does 630 divide 594147645? False Does 51 divide 113966793? True Is 58 a factor of 1173918? False Is 663 a factor of 255394893? True Is 23 a factor of 147813065? True
Suppose 2*s - 2*z = -184, -2*z + 137 + 235 = -4*s. Let v = s + 121. Let h be 2/5 - (-943)/5. What is the greatest common factor of h and v? 27 Let w(f) = f**3 + 31*f**2 + 142*f - 172. Let j be w(-25). What is the greatest common factor of j and 714? 14 Let n = 3151 + -2865. What is the greatest common divisor of n and 110? 22 Let b(o) = -2*o + 1 - 7 - 60*o. Let v be (-14)/(-28) + (-15)/10. Let a be b(v). Calculate the highest common factor of a and 16. 8 Suppose -3*f + 5*f - 62 = 0. Let u be (6/27*-3)/((-6)/36). Suppose -f - 17 = -u*n. What is the greatest common factor of 8 and n? 4 Let k be (-1)/(-3) - (488/(-3) + -2). Let g be 358/10 + 33/k. Calculate the highest common divisor of 306 and g. 18 Let b(p) = 5*p**2 - 8*p - 4. Let o be b(6). Suppose 8*l = 3786 + 1440 - 618. What is the greatest common factor of o and l? 64 Suppose 2*d + d = 0. Suppose -4*m + 72 + 152 = d. Let c = 588289 - 588275. Calculate the highest common factor of m and c. 14 Let p be ((-7)/(-14))/(1/4) + 22. Suppose p = -8*c + 5*c. Let w be (-1 + (-33)/(-9))*(-30)/c. What is the highest common factor of 6 and w? 2 Suppose 3*l - 4 = -l. Let r be 36/(-16)*28/21. Let z be r + (16/l)/4. What is the highest common factor of 4 and z? 1 Let u be (-24)/9*(-1)/(-4)*-123. Let i = u - 79. Suppose -i*b - 22 + 58 = 0. Calculate the highest common factor of 3 and b. 3 Suppose -70*z - 5934 = -113*z. What is the greatest common factor of 2806 and z? 46 Suppose -x = -2*x - 3*f + 21, 0 = -2*x - 4*f + 42. Let q = x - -10. Calculate the highest common factor of 1 and q. 1 Let o(z) = 43*z**2 + 242*z + 7. Let n be o(-6). What is the greatest common factor of n and 309? 103 Let k = 161 + -66. Suppose 3*u = 103 + k. Calculate the greatest common factor of 264 and u. 66 Suppose 24*x + 5 = 25*x, -x - 6863 = -4*v. Calculate the highest common divisor of v and 17. 17 Let z = 117 - 115. Suppose -2*k = 3*s + 2*s - 94, z*s - 100 = -2*k. Calculate the greatest common factor of 572 and k. 52 Suppose -47 = -5*z - x, -4*z + 5*x + 17 + 9 = 0. What is the highest common divisor of 4491 and z? 9 Suppose -1724*g - 38 = -1729*g + 77. Calculate the highest common divisor of g and 5221. 23 Suppose -4*k = -79 - 57. Suppose 12*v - k = 14. Suppose -59 - 5 = -v*z. What is the greatest common divisor of 12 and z? 4 Let y be (96/10)/3*5795/(26 - 7). Calculate the highest common factor of y and 48. 16 Suppose 1538 = 47*f - 30510 - 30133. What is the greatest common divisor of 9 and f? 9 Suppose -113*p + 115*p = -3*x + 195, -2*p - x = -193. Let u = p - -410. What is the greatest common divisor of 66 and u? 22 Let w be (-44064)/208 + 4/(-26). Let s = -192 - w. Let b(x) = -45*x. Let d be b(-4). Calculate the greatest common factor of d and s. 20 Suppose 0 = 3*g + 5*t - 5048, 116*g + 1664 = 117*g - t. What is the highest common divisor of g and 18? 3 Suppose 47*w - 131*w - 411840 = -660*w. What is the highest common factor of w and 780? 65 Let s(z) = 3*z**2 + 80*z + 398. Let r be s(-35). Calculate the greatest common factor of 19 and r. 19 Let m(x) = 5*x**2 + 4*x - 1. Let b be m(-5). Let y be ((-11609)/(-2679))/((-1)/(-18)). What is the highest common divisor of b and y? 26 Let k(z) = -5*z + 66. Let h be k(10). Suppose 5*t = 5, -t + 23 = l - 6*t. Calculate the greatest common divisor of h and l. 4 Let f be 9*28/9*3. Let m = 117 + -41. Suppose -5*p - v - 3*v = -m, 0 = -3*p - 3*v + 48. What is the highest common divisor of f and p? 12 Let g = -15 - -19. Let d be ((-44)/(-6) + 2)*6/g. Suppose 0 = 2*i - 10*i + 168. Calculate the greatest common factor of d and i. 7 Suppose 0 = -5*u + 4*u + 30. Suppose 1247 = 6*i - 121. Let j = i + -218. Calculate the greatest common factor of u and j. 10 Suppose -s = 4*s + 5*f - 4500, 4*s - f = 3605. Suppose 1669*r - 46 = -4*p + 1671*r, r + 74 = 5*p. Calculate the greatest common divisor of p and s. 17 Let d = 37 + -34. Suppose j - 5 = d. Let q = -294 - -330. What is the greatest common factor of j and q? 4 Suppose 0 = -24*r + 23*r - 378. Let o = -168 - r. Calculate the highest common divisor of o and 42. 42 Let y(l) = 81*l**2 + l + 1. Let a be y(-1). Let p be ((-864)/168)/(2/(-21)). Calculate the greatest common divisor of p and a. 27 Suppose 13*t - 210 + 106 = 0. What is the highest common divisor of t and 672? 8 Let h(x) = -968*x - 998. Let n be h(-7). Calculate the greatest common divisor of n and 54. 54 Let p = 21337 - 20707. What is the greatest common factor of p and 936? 18 Suppose -440*s + 446*s = 18. Suppose 4*l = -s*q + 148, q + 243 = 6*q + 3*l. What is the highest common divisor of 84 and q? 12 Let x = 18308 - 18260. Calculate the greatest common factor of x and 1284. 12 Let x be (-670)/(-60) + (-75)/(-90). What is the highest common divisor of 636 and x? 12 Suppose 1558*k - 1555*k - 1596 = 0. Calculate the greatest common divisor of k and 56. 28 Suppose -91 = 8*z - 91. Suppose 34*s - 1619 + 531 = z. Calculate the highest common divisor of 416 and s. 32 Suppose 0 = -g + 4*k - 9, -3*g = 5*k - 58. Let f = g + 229. Calculate the highest common divisor of 30 and f. 30 Suppose -12*m + 15*m = 10*m - 63. What is the greatest common factor of 31 and m? 1 Let d be ((-18)/(-27))/(2/9). Let s(c) = 39*c**2 + c + 3. Let g be s(d). Calculate the highest common divisor of 42 and g. 21 Let c = 9 - 5. Let x(s) = s**3 + 23*s**2 + 23*s + 20. Let z be x(-22). Let h be (-15)/5 - -45 - z. What is the greatest common factor of c and h? 4 Let j(t) = -t**3 - 47*t**2 - 12*t - 180. Let n be j(-45). Let y be (-4)/(8 - n/(-459)). What is the greatest common divisor of y and 459? 51 Let s = -222 - -348. Let y = -86 + s. Suppose 3*n - y = -2*u, -4*u = 2*n + n - 38. What is the greatest common factor of n and 7? 7 Suppose -27*d + 2*i + 2212 = -23*d, 4*d - i - 2210 = 0. Calculate the highest common factor of 345 and d. 69 Let d(r) = 42*r**2 + 3023*r - 63. Let b be d(-72). Let x(f) = 11*f**2 - 3*f. Let h be x(3). What is the highest common divisor of h and b? 9 Let n be 1*58 + (1185/(-316) - 2/8). Calculate the greatest common factor of 792 and n. 18 Suppose 0 = -14*p + 1759 + 2119. What is the highest common divisor of 1 and p? 1 Let t = 139 + -77. Let q(x) = -3*x + 155. Suppose y + 2*d = 0, 3*y = -0*d + 3*d. Let i be q(y). Calculate the highest common divisor of t and i. 31 Suppose 4*q = -r + 15, 3*r - 4*q = 17 - 4. Let p = -307 + 335. Calculate the greatest common divisor of r and p. 7 Let l be 35/((-10)/2) + 9. Suppose -54 = l*f - 20*f. What is the highest common divisor of f and 24? 3 Let l(b) = -8*b + 8. Let d be l(-4). Suppose 5456 = 9*r - 664. Let s = r - 360. What is the highest common factor of d and s? 40 Let j(o) = 63*o + 96. Let p be j(9). Calculate the highest common divisor of 1275 and p. 51 Let f be -8 - (-775)/125 - 338/(-10). Let w(r) = 3*r**2 - 6*r - 5. Let x be w(5). Calculate the greatest common divisor of f and x. 8 Suppose -15*b + 10*b + 8330 = -4*g, 5*b - 5*g - 8335 = 0. What is the highest common factor of b and 6? 6 Let d(y) = -y + 7. Let w be d(10). Let t(x) = 5*x + 7. Let k be t(w). Let r be (-3 - (-5)/(-10))*k. What is the greatest common divisor of r and 112? 28 Suppose 0*b = 51*b - 0*b - 74256. Calculate the highest common divisor of 637 and b. 91 Let r be (-125)/(-3) + (-10)/(-390)*13. What is the greatest common divisor of r and 492? 6 Let p = -17342 - -17372. Suppose -974 = -2*n - 14. What is the greatest common factor of p and n? 30 Suppose -12*a + 10*a + 4 = 0. Let t be 13 - 1/(1*a/8). Calculate the highest common factor of t and 45. 9 Let y(p) = -1034*p - 574. Let k be y(-4). What is the highest common divisor of k and 411? 137 Suppose 820*m = 815*m + 320. Calculate the highest common divisor of m and 688. 16 Let k(a) = 4*a**3 + 6*a**2 + 2*a - 9. Let y be k(4). Calculate the highest common divisor of y and 513. 27 Suppose -24*i + 747260 = -180340. Calculate the greatest common factor of 50 and i. 50 Let c = 40 + 627. What is the highest common factor of 261 and c? 29 Let g(t) = -7*t + 24. Let m be g(2). Let u be (-4)/((m - 6)/(-16)). Let r be 24/((-2)/(0 + -2)). Calculate the highest common factor of u and r. 8 Let j(t) = -33*t**3 - 3*t**2 + 3*t. Let q be j(2). Let u = -243 - q. What is the greatest common divisor of u and 9? 9 Suppose -6*c + 25 = -5. Let n be 1/((-4)/10*c/(-52)). Let r be (-104)/16*2*-5. Calculate the greatest common factor of n and r. 13 Suppose -2*c - 156 = -2*t, 40*t - 384 = 35*t + 2*c. What is the greatest common factor of 1406 and t? 38
Find the first derivative of -173*m**3 - 5557*m**2 - 14*m + 159767328. -519*m**2 - 11114*m - 14 What is the third derivative of 163*c**3*q*s - 404162*c**3*q - 4*c**2*q*s - 2241*c*q*s - 2629*c*q wrt c? 978*q*s - 2424972*q What is the derivative of o**2*t*u - o**2*u - 5*o**2 + o*t*u + o*u + 2*t**2 + 376459*t*u - 513 wrt t? o**2*u + o*u + 4*t + 376459*u What is the second derivative of 181066663*z**3 + 3919*z + 3897 wrt z? 1086399978*z Find the third derivative of 1466*l**5 + 11*l**4 + 712*l**3 + 339067964*l**2 wrt l. 87960*l**2 + 264*l + 4272 What is the third derivative of -18*m**2*y**3 - 106727176*m**2*y**2 - 148118*m*y**3 wrt y? -108*m**2 - 888708*m What is the second derivative of -6731303*i**2*r - 6*i**2 - 1502735*i*r + 76*r wrt i? -13462606*r - 12 What is the third derivative of 20*i**4 - 519889*i**3*z + 216*i**2*z + 54*i**2 - 3*i*z - 3*z + 3 wrt i? 480*i - 3119334*z What is the second derivative of -6*k*o*r - 34374*k*r**2 + 2*k*r + 2*o*r**2 - 17473*o*r + 2*o + 3*r**2 wrt r? -68748*k + 4*o + 6 Differentiate -471265078*b**3 + 79997733. -1413795234*b**2 Find the third derivative of -2991872*g**3 + 570*g**2 - 12*g wrt g. -17951232 What is the derivative of -40*l*t*v + 480595*l*t - 3*l*v - 87*l + 3*t*v - 4199*v wrt v? -40*l*t - 3*l + 3*t - 4199 Find the second derivative of 17683*s*y**3 + 2437550*s - 50*y**3 + 5*y wrt y. 106098*s*y - 300*y What is the first derivative of -459*p**2 + 418710*p + 75270228? -918*p + 418710 Find the third derivative of -1359981*h*i**2*w**3 - 16293*h*w - 4*i**2*w**3 + 11*i**2*w**2 + 6*i**2 wrt w. -8159886*h*i**2 - 24*i**2 Find the third derivative of -5*b**3*d*z - 177*b**3*d + 5*b**3*z - 414*b**3 - 2*b**2*d*z + 2*b**2*d - 18*b**2*z + 4218*b**2 - 2*b*d*z wrt b. -30*d*z - 1062*d + 30*z - 2484 What is the second derivative of 754794981*g**5 + 52*g + 8918217 wrt g? 15095899620*g**3 Find the second derivative of 190083502*l**2 + 457169889*l + 2 wrt l. 380167004 What is the second derivative of -584152*j**3*k**3 - 1017198*j**3*k - 3*j + 4*k**4 - 3 wrt k? -3504912*j**3*k + 48*k**2 What is the derivative of 265*k**2*p + 2*k**2 + 290480*k + 28997*p + 9 wrt p? 265*k**2 + 28997 What is the derivative of 637460812*k*s - 904677109*k wrt s? 637460812*k Find the first derivative of 964524*c**3*n**2 + 3960778*n**2 wrt c. 2893572*c**2*n**2 What is the derivative of 11548618*o**2 - 7634609? 23097236*o Differentiate 318*d**3 - 84309*d**2 - 180248886 wrt d. 954*d**2 - 168618*d Find the first derivative of 1072313*i**4 + 2*i**3 + 9*i + 35953173 wrt i. 4289252*i**3 + 6*i**2 + 9 What is the third derivative of -36866314*g**3*y**3 - 44770*g**3*y**2 + 2*g**3 + 8*g**2*y + 2*g*y**2 - 2*g wrt y? -221197884*g**3 Find the third derivative of -73411399*n**3 + 52*n**2 + 959699. -440468394 What is the second derivative of 452953904*y**5 - 1138*y - 115955 wrt y? 9059078080*y**3 Find the first derivative of -3*j*v**2 + 338*j*v + 29*j + 15*v**2 + 5*v + 186308 wrt v. -6*j*v + 338*j + 30*v + 5 What is the third derivative of -8812582*n**3*w*y - 15*n**3*w + 2*n**2*w + 12*n**2 + 6*n*w + 218*w*y + 269*w wrt n? -52875492*w*y - 90*w Differentiate 3791086*u - 564337. 3791086 What is the second derivative of 1695667*b**3 + 4852333*b wrt b? 10174002*b Find the third derivative of 3*c**3*v**3 - 3*c**3*v**2 + 3*c**2*u*v**2 - 313879*c**2*v**2 + 154404061*c*u*v**3 + 56*u*v wrt v. 18*c**3 + 926424366*c*u What is the second derivative of -68232662*t**2 + t + 19674922 wrt t? -136465324 Find the second derivative of 9860159*f**3 + 5521951*f. 59160954*f Differentiate -10*v**3 + v**2 - 111845*v - 2931026 with respect to v. -30*v**2 + 2*v - 111845 Differentiate 2*h**3*k - 215*h**3*z**3 - 2*h**2*z**3 + 15642*h**2*z**2 + 1666119*k*z**3 with respect to k. 2*h**3 + 1666119*z**3 Differentiate -360356*c**3*j*p - 59842*c**3*p + 11*c*j**2 + 1085*c*p wrt j. -360356*c**3*p + 22*c*j Find the third derivative of 111320640*a*t**3 + a*t**2 - 14*a*t - 167*a + 2*t**2 - 9*t - 1 wrt t. 667923840*a What is the second derivative of 1667*v**5 + 39*v**4 - 10*v**2 - 29827065*v? 33340*v**3 + 468*v**2 - 20 Find the third derivative of -642633*l**4 + 94*l**3 + 5*l**2 - 2*l + 5129379. -15423192*l + 564 What is the second derivative of 639955344*s**2 - 5*s + 14684246? 1279910688 Differentiate -334555*c**2 - c - 9010232 wrt c. -669110*c - 1 What is the derivative of -16*f**3 + 107072*f - 1026923? -48*f**2 + 107072 Find the first derivative of -2*f**2*h + 2246*f**2 - 4*f*h + 6*f - 14057843*h wrt f. -4*f*h + 4492*f - 4*h + 6 What is the second derivative of -74605527*o**2 + 101748581*o? -149211054 What is the third derivative of 39237189*b**3 - 75*b**2 + 2389*b - 18? 235423134 Find the first derivative of -263*h**2*s - 45*h**2 + h*s + 17*h - 8313755*s wrt h. -526*h*s - 90*h + s + 17 What is the second derivative of -9109*n**3 + 13898*n**2 + 191923966*n wrt n? -54654*n + 27796 Differentiate -3800*i**2 + 9258*i - 53295654 with respect to i. -7600*i + 9258 What is the third derivative of 268*f**6 - 26398*f**4 + 2*f**3 + 7085213*f**2 wrt f? 32160*f**3 - 633552*f + 12 Find the first derivative of -375922023*j - 433069831 wrt j. -375922023 What is the first derivative of 1361693532*b + 656153483 wrt b? 1361693532 Find the second derivative of -873306213*m**2 + 856176706*m wrt m. -1746612426 Find the third derivative of 5789167*k**6 + 2227*k**2 - 794*k wrt k. 694700040*k**3 What is the second derivative of -845*k**4 - 2*k**3*w - 3789*k**2*w + 5554*k*w + 2308*k wrt k? -10140*k**2 - 12*k*w - 7578*w Find the third derivative of a*q*x*z**2 + 2*a*q*x*z - a*q*z + a*q + 8*a*x*z**3 - a*z**2 + 1059538*q*x*z**3 + 458*q*z**2 + 4*x*z wrt z. 48*a*x + 6357228*q*x What is the second derivative of 144647529*c**2 - 52377723*c? 289295058 What is the first derivative of m**4*t**3 + 2109693*m**4 + 4*t**3 + 10*t**2 - 37*t + 3 wrt m? 4*m**3*t**3 + 8438772*m**3 Find the first derivative of 7044627*f*v - 5042935*v wrt f. 7044627*v What is the second derivative of -97341991*c**3 + 85134871*c wrt c? -584051946*c Find the second derivative of 6803220*i**2 - 4*i + 6611830 wrt i. 13606440 Find the first derivative of 558187*h**4 + 7164563. 2232748*h**3 What is the second derivative of -130414588*n**4 + n + 62626172 wrt n? -1564975056*n**2 Find the first derivative of j*l*u - 937593*j*l - 7*j*u - j - 4*l*u + 161681*l - 2*u - 3 wrt j. l*u - 937593*l - 7*u - 1 What is the third derivative of -301659347*s**3 - 4090*s**2 - 19*s + 283? -1809956082 Find the third derivative of 9172*f**4*q**2 + 533*f**3*q**2 - 64*f**2*q - 719929*f*q**2 wrt f. 220128*f*q**2 + 3198*q**2 Find the first derivative of -1601231*u*y - 8872434*u wrt y. -1601231*u Differentiate -87*i**2*s**2 + 141525*i**2 - 17017*i*s - 3*i - 3 with respect to s. -174*i**2*s - 17017*i What is the second derivative of 5147540*v**2 - 5380185*v? 10295080 Find the second derivative of 42952593*y**2 - 436448*y + 18 wrt y. 85905186 What is the second derivative of 18774218*t**5 - 10044126*t wrt t? 375484360*t**3 What is the derivative of 97*h*q**4 - 65714081*h - 855085*q**4 wrt q? 388*h*q**3 - 3420340*q**3 Differentiate 15648967*g + 5993791 wrt g. 15648967 Find the third derivative of 59386538*h*m**3*v**3 + 3*h*m**3*v**2 + 2*h*m**3*v + 5809*h*m*v - h*v**2 - 2*h*v + 8*m**2 wrt v. 356319228*h*m**3 Find the third derivative of 6*d**5 - d**4 - 344926*d**3 + 2*d**2 - 8275202*d - 1. 360*d**2 - 24*d - 2069556 What is the first derivative of 166320998*q**2 + 456496719? 332641996*q Find the second derivative of -5472550*g**2 + 19391488*g wrt g. -10945100 What is the third derivative of 315783*c**5 + 903*c**4 + 1204355732*c**2 - 2? 18946980*c**2 + 21672*c What is the third derivative of -1426336*j**3*u**3 + 35*j**3*u + j**2*u + 6*j*u**3 - 6*u**3 + 50589*u**2 - 2 wrt u? -8558016*j**3 + 36*j - 36 What is the derivative of -7*q**4 - 314219*q**3*v + 3*q + 47813423*v wrt q? -28*q**3 - 942657*q**2*v + 3 What is the first derivative of 3719*b**3 + 3*b**2 - 193*b - 509743? 11157*b**2 + 6*b - 193 What is the second derivative of -67750998*b**5 + 793*b - 6935 wrt b? -1355019960*b**3 Differentiate 120*q**3 - 1133255*q**2 + 287390736 wrt q. 360*q**2 - 2266510*q Find the third derivative of -3*l**2*p**3 - 4642*l**2*p**2 + 3*l**2*p - 889778*l*p**3 + 2*p**3 + p**2 - 11 wrt p. -18*l**2 - 5338668*l + 12 What is the third derivative of 364163772*w**3 - 626845385*w**2 wrt w? 2184982632 What is the second derivative of 4*a*b**3 - 1793*a*b**2*j + a*b*j - 3*a*j - 3723*b**3*j + 50599*b*j - 11*b wrt b? 24*a*b - 3586*a*j - 22338*b*j
Three letters picked without replacement from {e: 2, z: 1, h: 1, u: 1}. Give prob of picking 1 h, 1 z, and 1 u. 1/10 Calculate prob of picking 2 s when two letters picked without replacement from esssvvv. 1/7 What is prob of picking 1 y and 2 h when three letters picked without replacement from yhhhhyhh? 15/28 Four letters picked without replacement from {g: 4, r: 1, v: 2, j: 3}. Give prob of picking 2 g, 1 r, and 1 v. 2/35 Four letters picked without replacement from iaiiiqiqqqiqqqiiq. What is prob of picking 4 q? 1/34 What is prob of picking 1 j and 1 r when two letters picked without replacement from {f: 6, r: 1, j: 3, a: 7}? 3/136 What is prob of picking 1 y and 1 p when two letters picked without replacement from {v: 1, p: 1, t: 1, r: 1, y: 1}? 1/10 Two letters picked without replacement from {r: 1, q: 4, t: 2}. What is prob of picking 1 t and 1 q? 8/21 Four letters picked without replacement from {y: 2, m: 10, k: 3, w: 3}. What is prob of picking 1 y and 3 w? 1/1530 Two letters picked without replacement from {n: 3, t: 2, e: 4}. Give prob of picking 2 n. 1/12 What is prob of picking 1 s and 1 h when two letters picked without replacement from {f: 2, e: 1, o: 1, h: 2, s: 1, n: 1}? 1/14 Four letters picked without replacement from {c: 7, a: 3}. Give prob of picking 2 a and 2 c. 3/10 Two letters picked without replacement from jjjejejeejjjejjja. What is prob of picking 1 j and 1 a? 11/136 What is prob of picking 1 n, 2 x, and 1 e when four letters picked without replacement from {x: 4, j: 4, e: 4, n: 2}? 48/1001 Two letters picked without replacement from {s: 1, i: 4, n: 2, e: 2, f: 1}. What is prob of picking 1 n and 1 i? 8/45 Calculate prob of picking 1 w and 1 n when two letters picked without replacement from {n: 6, r: 1, w: 7}. 6/13 Three letters picked without replacement from nphkm. Give prob of picking 1 p, 1 n, and 1 k. 1/10 What is prob of picking 1 w and 1 v when two letters picked without replacement from {e: 2, v: 1, w: 2, b: 1, c: 1}? 2/21 Two letters picked without replacement from tbq. What is prob of picking 1 q and 1 b? 1/3 Three letters picked without replacement from {t: 3, h: 7}. Give prob of picking 2 h and 1 t. 21/40 Four letters picked without replacement from fffffffbffff. What is prob of picking 1 b and 3 f? 1/3 Three letters picked without replacement from {p: 14, v: 5}. What is prob of picking 2 v and 1 p? 140/969 Two letters picked without replacement from xchbcxcbxe. What is prob of picking 1 b and 1 c? 2/15 Calculate prob of picking 1 d and 1 r when two letters picked without replacement from rrdnxdut. 1/7 Four letters picked without replacement from nddnndadddddddddddad. What is prob of picking 4 d? 91/323 Four letters picked without replacement from {c: 1, l: 4, e: 5}. Give prob of picking 3 l and 1 c. 2/105 Two letters picked without replacement from {i: 2, d: 1}. What is prob of picking 2 i? 1/3 Three letters picked without replacement from nvnvnnnnnnnvnnnnvnn. What is prob of picking 3 n? 455/969 Two letters picked without replacement from ehakehhaeakeaahhah. What is prob of picking 1 e and 1 h? 8/51 Two letters picked without replacement from kkcdckkccdckcc. Give prob of picking 1 c and 1 d. 2/13 Two letters picked without replacement from nononnnonnonnsonnono. What is prob of picking 2 s? 0 Four letters picked without replacement from mjjstjtqts. What is prob of picking 1 t, 1 q, 1 j, and 1 s? 3/35 Two letters picked without replacement from {w: 2, a: 1}. Give prob of picking 2 w. 1/3 Two letters picked without replacement from {i: 10, l: 2}. What is prob of picking 1 l and 1 i? 10/33 Two letters picked without replacement from {z: 4}. What is prob of picking 2 z? 1 Three letters picked without replacement from dddddwwwndwn. Give prob of picking 1 w and 2 d. 3/11 Four letters picked without replacement from {h: 5, i: 13}. Give prob of picking 2 h and 2 i. 13/51 What is prob of picking 1 k and 1 u when two letters picked without replacement from {j: 1, v: 1, k: 2, u: 1}? 1/5 What is prob of picking 2 f when two letters picked without replacement from {f: 7, x: 1, v: 6}? 3/13 Calculate prob of picking 1 o and 1 v when two letters picked without replacement from {v: 3, d: 3, o: 7, f: 2, q: 1, k: 1}. 21/136 Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {e: 1, l: 1, h: 1, b: 2, f: 2, q: 1}. 1/14 What is prob of picking 1 c and 3 v when four letters picked without replacement from {v: 5, i: 1, c: 5}? 5/33 Four letters picked without replacement from {l: 4, p: 7, m: 3}. Give prob of picking 3 m and 1 l. 4/1001 What is prob of picking 1 p and 1 b when two letters picked without replacement from {p: 12, l: 6, b: 1}? 4/57 Calculate prob of picking 1 l and 1 t when two letters picked without replacement from ttl. 2/3 Four letters picked without replacement from {x: 1, v: 2, t: 7}. Give prob of picking 1 t, 1 x, and 2 v. 1/30 What is prob of picking 1 v, 1 o, and 1 a when three letters picked without replacement from toctovttocctaoatoo? 1/68 What is prob of picking 2 w and 1 n when three letters picked without replacement from yquwn? 0 Three letters picked without replacement from bbbyueiiyuzi. What is prob of picking 1 e and 2 b? 3/220 Two letters picked without replacement from dlqldqgdlqsddqqdql. Give prob of picking 1 d and 1 q. 4/17 What is prob of picking 3 e when three letters picked without replacement from {r: 1, y: 1, e: 1}? 0 Three letters picked without replacement from fbbmmbbbmbm. Give prob of picking 2 m and 1 f. 2/55 Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {a: 1, w: 5, b: 1, y: 1, e: 1}. 1/36 Calculate prob of picking 1 v, 2 c, and 1 x when four letters picked without replacement from vvxvxcccvc. 8/35 What is prob of picking 1 u, 2 z, and 1 i when four letters picked without replacement from {z: 1, i: 1, s: 1, u: 2, m: 2, a: 1}? 0 Three letters picked without replacement from wjwwwwccwwj. Give prob of picking 2 w and 1 c. 14/55 What is prob of picking 1 v and 2 q when three letters picked without replacement from qvqqvqvvvv? 3/10 Three letters picked without replacement from {j: 2, q: 2, w: 3, u: 4, r: 2}. What is prob of picking 1 r, 1 q, and 1 u? 8/143 What is prob of picking 1 t and 3 i when four letters picked without replacement from {i: 4, t: 3, d: 2}? 2/21 Three letters picked without replacement from {y: 3, q: 3, b: 12, h: 2}. What is prob of picking 1 y and 2 q? 3/380 Two letters picked without replacement from {m: 3, s: 8, h: 5}. What is prob of picking 1 s and 1 m? 1/5 Calculate prob of picking 1 j and 1 n when two letters picked without replacement from {l: 2, n: 3, j: 4}. 1/3 Three letters picked without replacement from {t: 4}. Give prob of picking 3 t. 1 Four letters picked without replacement from {m: 5, z: 4, g: 3, t: 5, e: 1}. Give prob of picking 1 t, 1 z, and 2 m. 10/153 Calculate prob of picking 2 w when two letters picked without replacement from wwwww. 1 Two letters picked without replacement from {h: 1, j: 4, q: 1, n: 3, d: 2, t: 1}. What is prob of picking 1 h and 1 q? 1/66 What is prob of picking 1 w, 1 s, and 1 k when three letters picked without replacement from wszksawszw? 3/40 What is prob of picking 1 x and 1 r when two letters picked without replacement from {d: 1, c: 1, m: 1, p: 1, x: 1, r: 2}? 2/21 Two letters picked without replacement from hbhbhhhvtbbhbhhhbb. What is prob of picking 2 h? 4/17 Two letters picked without replacement from uuddd. What is prob of picking 2 d? 3/10 What is prob of picking 3 m and 1 e when four letters picked without replacement from {e: 5, m: 9}? 60/143 Three letters picked without replacement from gggggggwggggggwggwgg. What is prob of picking 3 g? 34/57 Two letters picked without replacement from bygil. Give prob of picking 1 l and 1 i. 1/10 What is prob of picking 2 r when two letters picked without replacement from {a: 4, t: 2, r: 2, s: 1, p: 3}? 1/66 Calculate prob of picking 2 r when two letters picked without replacement from {j: 1, r: 3}. 1/2 Two letters picked without replacement from mjillio. What is prob of picking 2 i? 1/21 Four letters picked without replacement from engfgbn. What is prob of picking 1 n, 2 g, and 1 f? 2/35 What is prob of picking 1 g and 1 d when two letters picked without replacement from {o: 7, d: 3, g: 1, e: 6}? 3/136 Calculate prob of picking 1 h and 2 y when three letters picked without replacement from hhhyhyyyyyhh. 9/22
What is the a'th term of -6691, -8369, -10047, -11725? -1678*a - 5013 What is the k'th term of 673850, 673790, 673730, 673670, 673610? -60*k + 673910 What is the k'th term of -75148, -150505, -225856, -301201? 3*k**2 - 75366*k + 215 What is the a'th term of 637202, 637196, 637212, 637250, 637310, 637392? 11*a**2 - 39*a + 637230 What is the k'th term of -16610, -18161, -22366, -30551, -44042, -64165? -221*k**3 - k**2 - k - 16387 What is the x'th term of 285250, 1141123, 2567614, 4564723, 7132450, 10270795, 13979758? 285309*x**2 - 54*x - 5 What is the z'th term of 253915, 254265, 254615, 254965? 350*z + 253565 What is the m'th term of -3152027, -6304133, -9456229, -12608309, -15760367, -18912397, -22064393? m**3 - m**2 - 3152110*m + 83 What is the d'th term of 338, 213, 198, 299, 522, 873, 1358? d**3 + 49*d**2 - 279*d + 567 What is the g'th term of -367828, -735604, -1103380, -1471156? -367776*g - 52 What is the t'th term of 5789, 6416, 7041, 7664, 8285, 8904? -t**2 + 630*t + 5160 What is the z'th term of -9298, -9133, -8858, -8473, -7978, -7373? 55*z**2 - 9353 What is the z'th term of -8407, -8366, -8329, -8296, -8267, -8242, -8221? -2*z**2 + 47*z - 8452 What is the n'th term of 345517, 345526, 345541, 345562, 345589, 345622? 3*n**2 + 345514 What is the g'th term of 8591, 39261, 92015, 166853, 263775? 11042*g**2 - 2456*g + 5 What is the u'th term of 6356, 49221, 165570, 392147, 765696? 6124*u**3 - 2*u**2 + 3*u + 231 What is the m'th term of -340588772, -340588769, -340588766, -340588763, -340588760, -340588757? 3*m - 340588775 What is the d'th term of -1085893, -1085701, -1085509, -1085317? 192*d - 1086085 What is the p'th term of 21300766, 42601536, 63902296, 85203040, 106503762? -p**3 + p**2 + 21300774*p - 8 What is the w'th term of -1452582, -2905151, -4357722, -5810295, -7262870? -w**2 - 1452566*w - 15 What is the o'th term of -22439035, -44878071, -67317107, -89756143, -112195179? -22439036*o + 1 What is the o'th term of 499, 192, -311, -992, -1833, -2816? 3*o**3 - 116*o**2 + 20*o + 592 What is the l'th term of 578, 1427, 2732, 4721, 7622, 11663, 17072, 24077? 38*l**3 + 583*l - 43 What is the a'th term of -6442, -13320, -20626, -28360, -36522, -45112, -54130? -214*a**2 - 6236*a + 8 What is the u'th term of -2289, -4879, -7443, -9969, -12445? 2*u**3 + u**2 - 2607*u + 315 What is the w'th term of -2010, -2004, -1990, -1962, -1914, -1840, -1734? w**3 - 2*w**2 + 5*w - 2014 What is the x'th term of -8669, -9753, -10843, -11939, -13041, -14149? -3*x**2 - 1075*x - 7591 What is the a'th term of 1061, -1469, -3999, -6529, -9059? -2530*a + 3591 What is the d'th term of 158, 426, 910, 1604, 2502, 3598, 4886? -d**3 + 114*d**2 - 67*d + 112 What is the m'th term of 684411, 684392, 684367, 684336, 684299, 684256, 684207? -3*m**2 - 10*m + 684424 What is the j'th term of 28618, 47558, 66488, 85402, 104294, 123158? -j**3 + j**2 + 18944*j + 9674 What is the r'th term of -151533, -302199, -452865, -603531, -754197, -904863? -150666*r - 867 What is the z'th term of -71837, -71557, -71277? 280*z - 72117 What is the g'th term of -42926, -91042, -139158, -187274? -48116*g + 5190 What is the n'th term of 2571, 2986, 3675, 4638? 137*n**2 + 4*n + 2430 What is the j'th term of -35340, -70597, -105854? -35257*j - 83 What is the h'th term of -126769, -1014112, -3422597, -8112790, -15845257, -27380564, -43479277, -64901962? -126761*h**3 - 5*h**2 - h - 2 What is the w'th term of 26210295, 52420591, 78630887, 104841183, 131051479, 157261775? 26210296*w - 1 What is the o'th term of 3814, 3789, 3690, 3469, 3078, 2469? -8*o**3 + 11*o**2 - 2*o + 3813 What is the y'th term of 835, 1329, 2155, 3313? 166*y**2 - 4*y + 673 What is the g'th term of 7322, 6673, 6046, 5453, 4906, 4417, 3998? 2*g**3 - g**2 - 660*g + 7981 What is the n'th term of 2302, 4722, 7142, 9562, 11982, 14402? 2420*n - 118 What is the w'th term of -337082, -674184, -1011290, -1348400, -1685514, -2022632? -2*w**2 - 337096*w + 16 What is the h'th term of -55165, -110253, -165311, -220333, -275313? h**3 + 9*h**2 - 55122*h - 53 What is the n'th term of -30, -665, -2458, -6003, -11894, -20725, -33090? -99*n**3 + 15*n**2 + 13*n + 41 What is the z'th term of 1408392, 1408406, 1408406, 1408392? -7*z**2 + 35*z + 1408364 What is the n'th term of 327267903, 654535808, 981803713? 327267905*n - 2 What is the s'th term of 3324382, 6649072, 9973762, 13298452, 16623142? 3324690*s - 308 What is the v'th term of -459, -2646, -4833, -7020? -2187*v + 1728 What is the v'th term of 2376, 4912, 7430, 9930, 12412? -9*v**2 + 2563*v - 178 What is the x'th term of -7932, -10393, -12854, -15315, -17776? -2461*x - 5471 What is the f'th term of -884511, -3538054, -7960625, -14152224, -22112851? -884514*f**2 - f + 4 What is the w'th term of -45156, -180689, -406582, -722835? -45180*w**2 + 7*w + 17 What is the o'th term of 107176, 428722, 964646, 1714948, 2679628, 3858686, 5252122? 107189*o**2 - 21*o + 8 What is the u'th term of -598, -811, -792, -547, -82, 597, 1484? -u**3 + 122*u**2 - 572*u - 147 What is the c'th term of 876, 6296, 21154, 50214, 98240, 169996, 270246, 403754? 794*c**3 - 45*c**2 - 3*c + 130 What is the k'th term of -529730978, -1059461957, -1589192936, -2118923915, -2648654894, -3178385873? -529730979*k + 1 What is the t'th term of 3909, 10097, 16285, 22473, 28661? 6188*t - 2279 What is the r'th term of 38714, 79848, 120982, 162116? 41134*r - 2420 What is the p'th term of -6535, -7838, -3919, 5222, 19585, 39170? 2611*p**2 - 9136*p - 10 What is the r'th term of -934, -2111, -4166, -7105, -10934, -15659? -r**3 - 433*r**2 + 129*r - 629 What is the j'th term of 4271, 16996, 38191, 67856, 105991, 152596? 4235*j**2 + 20*j + 16 What is the w'th term of 152042, 309039, 466038, 623039, 780042, 937047? w**2 + 156994*w - 4953 What is the m'th term of -152166, -304351, -456534, -608715? m**2 - 152188*m + 21 What is the f'th term of 78026, 78017, 78036, 78089, 78182, 78321, 78512, 78761? f**3 + 8*f**2 - 40*f + 78057 What is the f'th term of -23651, -23744, -23899, -24116, -24395, -24736? -31*f**2 - 23620 What is the r'th term of 30397, 33848, 37299, 40750, 44201, 47652? 3451*r + 26946 What is the r'th term of -17858, -17972, -18086, -18200? -114*r - 17744 What is the j'th term of 102944, 205923, 308902, 411881, 514860, 617839? 102979*j - 35 What is the o'th term of 11349, 45469, 102337, 181953, 284317, 409429, 557289? 11374*o**2 - 2*o - 23 What is the x'th term of 33666, 69694, 105722, 141750, 177778? 36028*x - 2362 What is the c'th term of 4914721, 4914716, 4914707, 4914694? -2*c**2 + c + 4914722 What is the a'th term of 25704, 51567, 77432, 103299, 129168? a**2 + 25860*a - 157 What is the d'th term of 4328589, 8657958, 12987315, 17316654, 21645969, 25975254, 30304503, 34633710? -d**3 + 4329376*d - 786 What is the t'th term of -1260, -2662, -4044, -5394, -6700, -7950, -9132? 2*t**3 - 2*t**2 - 1410*t + 150 What is the n'th term of 30191, 30293, 30395, 30497? 102*n + 30089 What is the b'th term of 252748930, 252748931, 252748932, 252748933, 252748934, 252748935? b + 252748929 What is the p'th term of -5583, -22434, -50523, -89850, -140415? -5619*p**2 + 6*p + 30 What is the d'th term of -40000, -40263, -40526, -40789, -41052? -263*d - 39737 What is the p'th term of -20953, -46807, -72661? -25854*p + 4901 What is the l'th term of 157905, 1263406, 4264053, 10107420, 19741081, 34112610? 157929*l**3 - l**2 + l - 24 What is the s'th term of 13222, 12124, 11026, 9928? -1098*s + 14320 What is the y'th term of 30, 77, 204, 399, 650, 945, 1272? -2*y**3 + 52*y**2 - 95*y + 75 What is the o'th term of -124055, -248334, -372845, -497588? -116*o**2 - 123931*o - 8 What is the j'th term of 13386, 53701, 120948, 215127? 13466*j**2 - 83*j + 3 What is the q'th term of -1061417, -2122866, -3184315? -1061449*q + 32 What is the o'th term of 44395, 44403, 44411, 44419? 8*o + 44387 What is the g'th term of 176, -569, -1764, -3385, -5408, -7809, -10564, -13649? 4*g**3 - 249*g**2 - 26*g + 447 What is the p'th term of 24627683, 24627656, 24627617, 24627560, 24627479? -p**3 - 20*p + 24627704 What is the u'th term of -63714, -127488, -191262, -255036? -63774*u + 60 What is the w'th term of 40457173, 80914347, 121371521, 161828695, 202285869? 40457174*w - 1 What is the r'th term of -30061, -58899, -87723, -116533? 7*r**2 - 28859*r - 1209 What is the u'th term of -1697, -6155, -13401, -23435, -36257, -51867? -1394*u**2 - 276*u - 27 What is the l'th term of -369909, -739872, -1109941, -1480170, -1850613, -2221324, -2592357, -2963766? -9*l**3 + l**2 - 369903*l + 2
What is the x'th term of 40072, 80145, 120214, 160279, 200340? -2*x**2 + 40079*x - 5 What is the t'th term of 1205, 10007, 24685, 45239, 71669? 2938*t**2 - 12*t - 1721 What is the c'th term of -21422133, -21422142, -21422151, -21422160, -21422169? -9*c - 21422124 What is the b'th term of 2947336, 5894676, 8842022, 11789380, 14736756, 17684156, 20631586? b**3 - 3*b**2 + 2947342*b - 4 What is the l'th term of 153335034, 306670070, 460005106, 613340142, 766675178, 920010214? 153335036*l - 2 What is the x'th term of -184614, -368386, -552158, -735930? -183772*x - 842 What is the h'th term of -501297, -2005179, -4511661, -8020749, -12532449? -h**3 - 501294*h**2 + 7*h - 9 What is the x'th term of -1022930, -1023276, -1023624, -1023974, -1024326? -x**2 - 343*x - 1022586 What is the z'th term of 736, 1761, 3094, 4771, 6828? 6*z**3 + 118*z**2 + 629*z - 17 What is the h'th term of 23941, 23827, 23637, 23371? -38*h**2 + 23979 What is the x'th term of 114367, 228741, 343115, 457489, 571863, 686237? 114374*x - 7 What is the n'th term of 7274167, 14548334, 21822501, 29096668, 36370835, 43645002? 7274167*n What is the q'th term of 23098, 47284, 71470, 95656, 119842, 144028? 24186*q - 1088 What is the v'th term of -20546, -41247, -62106, -83123? -79*v**2 - 20464*v - 3 What is the k'th term of 38306570, 76613141, 114919712, 153226283, 191532854, 229839425? 38306571*k - 1 What is the y'th term of -2480, -3177, -4346, -5993, -8124, -10745? -y**3 - 230*y**2 - 2249 What is the o'th term of -40407, -80735, -121041, -161313, -201539? 2*o**3 - o**2 - 40339*o - 69 What is the c'th term of 3152, 12852, 29090, 51866, 81180, 117032, 159422? 3269*c**2 - 107*c - 10 What is the u'th term of -3267, -6499, -9679, -12807, -15883, -18907, -21879? 26*u**2 - 3310*u + 17 What is the p'th term of -805576, -805624, -805670, -805714, -805756? p**2 - 51*p - 805526 What is the a'th term of -5475, -15106, -31151, -53610, -82483? -3207*a**2 - 10*a - 2258 What is the t'th term of -1850512, -3700939, -5551366, -7401793? -1850427*t - 85 What is the a'th term of -74727406, -74727404, -74727402, -74727400, -74727398, -74727396? 2*a - 74727408 What is the s'th term of -1738380, -3476776, -5215172, -6953568, -8691964, -10430360? -1738396*s + 16 What is the i'th term of 267346770, 267346768, 267346766, 267346764? -2*i + 267346772 What is the u'th term of 15301, 16674, 18047, 19420, 20793? 1373*u + 13928 What is the o'th term of 1086377, 1086369, 1086361, 1086353? -8*o + 1086385 What is the c'th term of 204, 82, -376, -1170, -2300? -168*c**2 + 382*c - 10 What is the a'th term of -950309, -1900665, -2851021, -3801377, -4751733, -5702089? -950356*a + 47 What is the i'th term of 16600, 33763, 50926, 68089? 17163*i - 563 What is the o'th term of 121034555, 242069100, 363103645, 484138190? 121034545*o + 10 What is the p'th term of 174877, 349747, 524619, 699493, 874369, 1049247, 1224127? p**2 + 174867*p + 9 What is the o'th term of -67546, -270525, -608934, -1082773, -1692042? -67715*o**2 + 166*o + 3 What is the a'th term of -58744362, -234977461, -528699294, -939909861, -1468609162, -2114797197? -58744367*a**2 + 2*a + 3 What is the x'th term of -25554, -25579, -25636, -25737, -25894, -26119, -26424, -26821? -2*x**3 - 4*x**2 + x - 25549 What is the r'th term of -108932, -109115, -109298, -109481, -109664? -183*r - 108749 What is the x'th term of -11235, -10847, -10459, -10071, -9683? 388*x - 11623 What is the x'th term of -3788, -3706, -3566, -3368? 29*x**2 - 5*x - 3812 What is the s'th term of -103014, -103004, -102996, -102990? -s**2 + 13*s - 103026 What is the f'th term of -1804, -5286, -11090, -19216, -29664, -42434? -1161*f**2 + f - 644 What is the j'th term of -4614, -4669, -4752, -4863, -5002? -14*j**2 - 13*j - 4587 What is the t'th term of 246571509, 246571500, 246571477, 246571434, 246571365? -t**3 - t**2 + t + 246571510 What is the l'th term of 93701, 93710, 93723, 93740, 93761, 93786? 2*l**2 + 3*l + 93696 What is the o'th term of -7902, -63087, -212880, -504585, -985506, -1702947, -2704212? -7884*o**3 + 3*o - 21 What is the r'th term of 26423626, 26423623, 26423618, 26423611, 26423602? -r**2 + 26423627 What is the z'th term of 762, -600, -4096, -9732, -17514, -27448, -39540? -z**3 - 1061*z**2 + 1828*z - 4 What is the f'th term of -3050396, -3050420, -3050446, -3050474, -3050504, -3050536? -f**2 - 21*f - 3050374 What is the j'th term of 19727, 19766, 19799, 19826, 19847, 19862? -3*j**2 + 48*j + 19682 What is the t'th term of -160654, -642722, -1446170, -2570998, -4017206? -160690*t**2 + 2*t + 34 What is the o'th term of -8784128, -8784140, -8784156, -8784176, -8784200, -8784228? -2*o**2 - 6*o - 8784120 What is the o'th term of 3977, 4086, 4377, 4940, 5865, 7242? 15*o**3 + o**2 + o + 3960 What is the c'th term of 9072, 11107, 14494, 19233, 25324, 32767? 676*c**2 + 7*c + 8389 What is the i'th term of 23097, 23110, 23137, 23178, 23233, 23302, 23385? 7*i**2 - 8*i + 23098 What is the n'th term of -180457, -721780, -1623985, -2887072, -4511041? -180441*n**2 - 16 What is the z'th term of 234141, 468039, 701937, 935835, 1169733, 1403631? 233898*z + 243 What is the z'th term of 388296, 388320, 388360, 388416, 388488, 388576? 8*z**2 + 388288 What is the c'th term of 53885686, 53885684, 53885682, 53885680? -2*c + 53885688 What is the c'th term of 286767, 281344, 275921, 270498? -5423*c + 292190 What is the q'th term of -20950, -20944, -20926, -20890, -20830? q**3 - q - 20950 What is the i'th term of 6588, 7000, 7686, 8646, 9880? 137*i**2 + i + 6450 What is the v'th term of 46267, 92751, 139237, 185725? v**2 + 46481*v - 215 What is the t'th term of -37052, -74129, -111206, -148283? -37077*t + 25 What is the g'th term of 25206, 102574, 231532, 412086, 644242, 928006, 1263384? g**3 + 25789*g**2 - 6*g - 578 What is the n'th term of -2748, -5535, -8368, -11271, -14268, -17383, -20640, -24063? -4*n**3 + n**2 - 2762*n + 17 What is the b'th term of -366124, -732337, -1098650, -1465063, -1831576, -2198189, -2564902? -50*b**2 - 366063*b - 11 What is the m'th term of 3830, 8417, 14538, 22961, 34454, 49785? 128*m**3 - m**2 + 3694*m + 9 What is the z'th term of 1001, 2986, 6285, 10898, 16825, 24066? 657*z**2 + 14*z + 330 What is the i'th term of 1875291, 1875292, 1875293, 1875294? i + 1875290 What is the r'th term of 51239, 51027, 50817, 50609, 50403? r**2 - 215*r + 51453 What is the v'th term of -35499, -38454, -41409, -44364, -47319? -2955*v - 32544 What is the l'th term of 19013048, 19013041, 19013034, 19013027, 19013020? -7*l + 19013055 What is the u'th term of -49100, -48891, -48648, -48371, -48060, -47715, -47336? 17*u**2 + 158*u - 49275 What is the n'th term of -952623, -952635, -952645, -952653, -952659? n**2 - 15*n - 952609 What is the i'th term of 2130434, 2130448, 2130462, 2130476, 2130490? 14*i + 2130420 What is the l'th term of 30349335, 60698673, 91048011, 121397349, 151746687, 182096025? 30349338*l - 3 What is the d'th term of -14690707, -14690710, -14690713, -14690716, -14690719? -3*d - 14690704 What is the h'th term of 68, 214, 262, 38, -632? -29*h**3 + 125*h**2 - 26*h - 2 What is the w'th term of 254600, 254638, 254676, 254714? 38*w + 254562 What is the m'th term of 3935, 3809, 3439, 2699, 1463? -21*m**3 + 4*m**2 + 9*m + 3943 What is the t'th term of -56570, -113056, -169542? -56486*t - 84 What is the v'th term of 1016370, 1017605, 1018854, 1020123, 1021418? v**3 + v**2 + 1225*v + 1015143 What is the d'th term of 981602139, 1963204277, 2944806415, 3926408553? 981602138*d + 1 What is the k'th term of -30974, -61890, -92750, -123554, -154302? 28*k**2 - 31000*k - 2 What is the u'th term of 300808, 301077, 301346, 301615? 269*u + 300539 What is the j'th term of 11468, 45791, 102990, 183065, 286016, 411843, 560546? 11438*j**2 + 9*j + 21 What is the n'th term of -132612, -530506, -1193662, -2122080? -132631*n**2 - n + 20 What is the n'th term of -2648511, -5297023, -7945533, -10594041, -13242547, -15891051, -18539553? n**2 - 2648515*n + 3 What is the x'th term of -5459566, -10919116, -16378666, -21838216, -27297766? -5459550*x - 16 What is the o'th term of 596098, 1192563, 1789026, 2385487, 2981946, 3578403, 4174858? -o**2 + 596468*o - 369 What is the x'th term of -72, 290, 1414, 3720, 7628, 13558, 21930? 70*x**3 - 39*x**2 - 11*x - 92 What is the n'th term of -55794674, -55794683, -55794692, -55794701, -55794710? -9*n - 55794665 What is the x'th term of -85801137, -85801135, -85801133? 2*x - 85801139
Let y = 14935 + -14929. Let f(j) = j**2 + j. Let c(k) be the second derivative of k**4/6 + k**3/2 - k. Determine y*f(b) - 2*c(b). 2*b**2 Let m(x) = -x + 1. Let i(t) = 2*t**3 - 18*t + 18. Suppose 0*g + 12*g - 48 = 0. Suppose b - 3*k = -g, -5*k + 12 + 0 = b. Determine b*i(s) - 36*m(s). 4*s**3 Let a(j) = -5 + 16 - 3 + 4*j. Let y(x) = -1485*x - 1 + 0 - 1486*x + 2970*x. Calculate -3*a(h) - 24*y(h). 12*h Let u(w) = w**2 - w - 44. Let s(d) = -3*d**2 - d + 91. Calculate 2*s(p) + 5*u(p). -p**2 - 7*p - 38 Let d(u) = -12*u - 9. Let o = -28 + 30. Suppose c - o*v = 11, -4*c - 34 = -8*c + 3*v. Let a = 9 - c. Let g(y) = 3*y + 2. What is a*d(i) + 9*g(i)? 3*i Suppose -l + 4 = -4*s - 0, -2*s = 0. Let n(r) = 0*r - 4*r + l*r - 1 + 0*r + r. Let d(y) = 2*y - 3. Give -3*d(w) + 8*n(w). 2*w + 1 Let b(k) = -3841*k + 6. Let g(i) = -19777302*i + 30896. Determine 15448*b(n) - 3*g(n). -3862*n Let y(f) = -1. Let d(o) = 2*o + 215. Let c(n) = n + 96. Let p(h) = -9*c(h) + 4*d(h). Give p(t) + y(t). -t - 5 Let b(a) be the first derivative of -a**2/2 - a - 3166. Let h(y) = -4*y - 24. Give 5*b(i) - h(i). -i + 19 Let s(z) = -8*z**2 - 11*z + 117. Let b(o) = -3*o**2 - 4*o + 39. Give -17*b(t) + 6*s(t). 3*t**2 + 2*t + 39 Let n(j) = -39*j**3 - 8*j**2 + 170. Let f(s) = -7*s**3 - s**2 + 1. Give 6*f(r) - n(r). -3*r**3 + 2*r**2 - 164 Let g(b) = 5*b + 75. Let q(n) = 122*n + 69*n - 194*n - 38. Determine -4*g(o) - 7*q(o). o - 34 Let i(y) = 16*y**2 + 5*y. Let q(g) = 24*g**2 + 7*g. Let k = -262 + 281. Suppose -b - k = -24. Calculate b*q(j) - 7*i(j). 8*j**2 Let d(y) = -1. Let n(o) be the second derivative of o**4/12 - o**3/6 - 4*o**2 - 3820*o. What is 6*d(b) - n(b)? -b**2 + b + 2 Let r(l) = -5*l**2 + l - 8. Suppose -8 = -y, -2*d + 35*y = 39*y - 28. Let o(t) = -4*t**2 + t - 7. Determine d*r(h) + 3*o(h). -2*h**2 + h - 5 Let d(i) = -34*i**2 + 3513*i + 5. Let q(u) = 14*u**2 - 1407*u - 2. Calculate 5*d(b) + 12*q(b). -2*b**2 + 681*b + 1 Let w(m) = m + 1. Let c(b) = -3. Let f(p) = -25. Suppose 32 = 5*u - 43. Let o(h) = u*c(h) - 2*f(h). What is -o(x) - w(x)? -x - 6 Let r(m) = -m - 141. Let b(u) = u + 143. Determine -3*b(c) - 4*r(c). c + 135 Let s(h) = -3155*h**2 + 1543*h**2 + 1578*h**2. Let w(t) = -33*t**2. Calculate 2*s(l) - 3*w(l). 31*l**2 Let u(j) = -11*j**3 + 7*j**2 + 14563*j - 54. Let f(s) = -6*s**3 + 4*s**2 + 7282*s - 31. What is -7*f(a) + 4*u(a)? -2*a**3 + 7278*a + 1 Let o(s) = -5*s + 9. Suppose 5 = -n - 170*p + 169*p, 1 = -3*n + 4*p. Let y(q) = 6*q - 10. Determine n*y(a) - 4*o(a). 2*a - 6 Suppose 8 = -24*b + 37 + 67. Let j(d) = 16*d**2. Let u(h) = 49*h**2. What is b*u(z) - 11*j(z)? 20*z**2 Let q(m) = -2*m**2 - 130*m + 413. Let r be q(-68). Let h(o) = 2*o**2 - 12*o - 5. Let c(t) = -2*t**2 + 12*t + 6. Calculate r*c(y) + 6*h(y). 2*y**2 - 12*y Let n(r) = 2119*r + 5. Let k(y) = 12*y - 1. Give -4*k(w) - n(w). -2167*w - 1 Let g be (4260/(-1136))/(3/(-4)). Let c(t) be the second derivative of 0 + 1/3*t**4 + t + 5/6*t**3 + 0*t**2. Let a(o) = 2*o**2 + 2*o. Give g*a(y) - 2*c(y). 2*y**2 Let q(d) = -59*d**3 + 13*d**2 - 33*d - 13. Let r(x) = 27*x**3 - 6*x**2 + 17*x + 6. Give 6*q(z) + 13*r(z). -3*z**3 + 23*z Let k(r) = -2*r**2 - 16*r - 6. Suppose -29 = -14*l + 27. Let y(c) = -3*c**2 - 16*c - 7. Determine l*y(n) - 5*k(n). -2*n**2 + 16*n + 2 Let u(z) = -179*z + 6. Let c(v) = 128*v - 4. Let q(t) = 7*c(t) + 5*u(t). Let y(k) = 3*k + 7. Give 21*q(r) - 6*y(r). 3*r Let s(v) = -29*v**3 - 7*v**2 + 8*v + 68. Let i(y) = -82*y**3 - 21*y**2 + 23*y + 204. What is -6*i(p) + 17*s(p)? -p**3 + 7*p**2 - 2*p - 68 Let s(f) = 2*f + 3. Let p(v) = 6 + 6*v - 2*v - 4 - 2*v + 1. Calculate 3*p(a) - 2*s(a). 2*a + 3 Let t(b) = 22*b**3 - 2*b**2 + 130*b + 36. Let q(k) = -24*k**3 + 2*k**2 - 131*k - 42. What is 6*q(g) + 7*t(g)? 10*g**3 - 2*g**2 + 124*g Let l(t) = 3*t**2 - 10*t. Let n(s) = 7*s**2 - 20*s + 222. Let f(p) = -74. Let m(h) = 3*f(h) + n(h). Calculate 9*l(i) - 4*m(i). -i**2 - 10*i Let x(i) = -17. Let c(g) = 21. Let a = -188 + 193. Let v(z) = a*x(z) + 4*c(z). Let k = 2 - 1. Let p(q) = -q + 2. Calculate k*p(s) - v(s). -s + 3 Let g(z) = -201*z + 55. Let x(s) = -s - 3. Calculate g(d) + 11*x(d). -212*d + 22 Let s = 7385 + -7386. Let c(l) = -l. Let h(p) = -6*p + 3. Suppose -4*t + 28 + 3 = 5*y, 2*t = 3*y - 1. What is s*h(a) + t*c(a)? 2*a - 3 Let g(s) = 5*s + 28. Let o(z) = z**2 - 2*z - 4. Calculate -g(j) - 5*o(j). -5*j**2 + 5*j - 8 Let q be 11/(-7) - (28/49)/(-1). Let p(m) = -m**3 + 4*m**2 + 4*m + 1. Let z be -2 + 0 + (-2 - 0). Let t(l) = -l**2 - l - 1. Give q*p(n) + z*t(n). n**3 + 3 Let g(y) = 2*y. Let a(k) be the first derivative of -3*k**2 + k + 5934. What is 3*a(o) + 8*g(o)? -2*o + 3 Let r(f) = 2*f - 1204. Let k(v) = 5*v - 3610. Determine 4*k(h) - 11*r(h). -2*h - 1196 Let f(x) = -3*x**3 - 11*x**2 + 11*x + 22. Let b(d) = 2*d**2 + 187*d + 705. Let y be b(-4). Let h(i) = -2*i**3 - 6*i**2 + 6*i + 11. Determine y*h(s) + 6*f(s). 4*s**3 + 11 Let r(z) = -162*z + 37. Let u(i) = -324*i + 90. Calculate 5*r(k) - 2*u(k). -162*k + 5 Let c(p) = 15*p - 2. Let r(o) = 14*o - 2. Let n be 5 + 77/(-9) + 456/(-1026). Determine n*r(i) + 3*c(i). -11*i + 2 Let k(x) = -10*x**3 - 3*x**2 + 3*x + 2. Let m(c) = 13*c**3 + 18*c**2 - 2*c + 2. Let q(s) = -s**3 - 4*s**2 - 1. Let t(r) = m(r) + 4*q(r). Give -2*k(y) - 3*t(y). -7*y**3 + 2 Let k(u) = 2*u - 2140. Let b(t) = -48. Give 6*b(w) - k(w). -2*w + 1852 Let p(c) = -1847*c + 5. Let r(t) = 1846*t - 6. Determine 4*p(k) + 3*r(k). -1850*k + 2 Let w(k) = -27 - 37 + 4*k**2 + 84 - 33 + 6*k - 4*k. Let j(g) = -2*g**2 - g + 6. Determine 13*j(n) + 6*w(n). -2*n**2 - n Let y(i) be the first derivative of 3*i**2/2 + 5*i + 26021. Let t(b) = b + 3. Let z be (-3)/2*4/(-6). Let p = 6 - z. Determine p*t(j) - 3*y(j). -4*j Let n(b) = 147*b. Let s(u) = u**2 + 132*u + 634. Let a be s(-5). Let w(v) = v. Determine a*n(z) + 126*w(z). -21*z Let s(d) be the third derivative of -3*d**5/20 + d**4/24 - 2*d**3/3 - 1024*d**2. Let y(n) = -10*n**2 + n - 3. Give 3*s(o) - 4*y(o). 13*o**2 - o Let j(x) = 2526*x + 15. Let n(i) = 504*i + 3. Determine -4*j(h) + 19*n(h). -528*h - 3 Let r(g) = 10*g**2 - 93. Let m(n) = 32*n**2 - n - 284. Determine 2*m(t) - 7*r(t). -6*t**2 - 2*t + 83 Let m = -2620 - -2623. Let w(z) = -4*z**2 - 6*z + 13. Let x(g) = -2*g**2 - 3*g + 7. Give m*w(v) - 5*x(v). -2*v**2 - 3*v + 4 Let t(s) be the second derivative of s**3/2 + 2*s**2 + s. Let z = 146 + -136. Let p(n) = 9 + 4*n + 8 - 2 - z. What is 5*p(i) - 6*t(i)? 2*i + 1 Let s(k) = 303*k - 18. Let d(b) = -312*b + 15. Determine -4*d(x) - 3*s(x). 339*x - 6 Let r(b) = 130*b + 19. Let p(m) = -257*m - 33. What is -4*p(a) - 7*r(a)? 118*a - 1 Let k(j) = 29*j + 11. Let w(r) = 11*r + 4. Let m(v) = 3*k(v) - 8*w(v). Let u(x) = -6*x**2 + 3. Suppose 4*y + o + 0 = -8, -1 = 5*y - o. Give y*u(i) + 2*m(i). 6*i**2 - 2*i - 1 Suppose -5*a + 7*a = 50. Let s be -5*(-20)/a + 12. Suppose 5*q + 1 = s. Let h(y) = -5*y**2 + 4*y. Let b(n) = 11*n**2 - 9*n. Determine q*b(o) + 7*h(o). -2*o**2 + o Let b(d) = -34*d**2 + 42*d - 8. Let n(p) = -27*p**2 + 43*p - 7. Determine -4*b(k) + 5*n(k). k**2 + 47*k - 3 Let z(d) = 28*d + 6652. Let a(j) = -10*j - 2217. What is 17*a(n) + 6*z(n)? -2*n + 2223 Let f(l) = -394*l - 6. Let j(g) = -1. Determine f(v) - 4*j(v). -394*v - 2 Let o(n) = n**3 - 5*n**2 + 72*n - 280. Let m be o(4). Let w(y) = -y**3 + 3*y**2 + y + 15. Let u(v) = -2*v**3 + 8*v**2 + 3*v + 46. Determine m*w(t) + 3*u(t). 2*t**3 + t + 18 Suppose -3*w + 2*b + 8 = 0, -w + 5*b + 6 = b. Let n(d) = -7*d + 2 + 3 + w. Let i(r) be the first derivative of -13*r**2/2 + 13*r - 44. Give -6*i(p) + 11*n(p). p - 1 Let n = 7847 + -7841. Let r(l) = -l + 1. Let b(j) = -9*j + 14. Give n*r(g) - b(g). 3*g - 8 Let j(i) = i**2 + 11*i - 21. Let l(r) = 2*r**2 + 20*r - 40. Let p(t) = -13*j(t) + 7*l(t). Let x(d) = -d**2 + 4*d + 8. Calculate 6*p(a) + 5*x(a). a**2 + 2*a - 2 Let f(x) = -9*x**3 + 6*x**2 + 7*x - 1. Suppose u = -4*r + 24, -5*r + 4*u = 19 - 49. Let n(q) = 9*q**3 - 5*q**2 - 6*q + 1. Determine r*n(b) + 5*f(b). 9*b**3 - b + 1 Let a(n) = 8*n + 2. Let r(g) = 15*g + 3. Suppose 105*p + 3*u = 99*p - 15, 0 = p + 2*u + 1. Give p*r(o) + 5*a(o). -5*o + 1 Let q = -4 + -1. Let d(n) be the first derivative of -34 + 0*n**3 - 12*n**2 + 15/4*n**4 - 24*n. Let t(o) = -3*o**3 + 5*o + 5. Give q*d(b) - 24*t(b). -3*b**3 Let j(w) = -76*w - 13. Let k(x) = 38*x + 6. Suppose -i + 1658 - 1645 = 0. What is i*k(p) + 6*j(p)? 38*p Let h = -53 - -69. Let r(m) = 6*m + h - 12 - 5. Let y(o) be the first derivative of -9*o**2/2 + o + 51. Calculate 7*r(q) + 5*y(q). -3*q - 2
Subtract 444350794763 from 2.6. -444350794760.4 What is 0.2 plus -229892887467? -229892887466.8 What is -336 minus 89681310763? -89681311099 Add together 18150184 and 70086. 18220270 Work out 5.474509 + -247.927. -242.452491 What is -475375370 + -24.6986? -475375394.6986 Work out -18.783297138492 + 2. -16.783297138492 What is the distance between 13 and -240238732.188? 240238745.188 What is 0.02 less than 527440.50124? 527440.48124 Work out 0.038807154278 - 55. -54.961192845722 Total of -15225461066 and 215. -15225460851 Put together -18507336760 and -0.01. -18507336760.01 What is -24186526 minus 25939? -24212465 39.4 - 15.766607034 23.633392966 What is the distance between 1.155 and -13563846771? 13563846772.155 Work out -9.0507457 + -17633. -17642.0507457 Work out -3.02 + 162.0733239. 159.0533239 What is -2 plus 2172341.101? 2172339.101 Put together -1355901210 and -184.5. -1355901394.5 What is 132946 plus -52.50972216? 132893.49027784 What is the difference between 50.746 and -259662? 259712.746 What is -152 plus 2.63974416911? -149.36025583089 What is -199 minus -3.543199912? -195.456800088 Subtract 11.333718618575 from 0.4. -10.933718618575 164304 + -0.597620524 164303.402379476 Subtract 2925577191 from -3.0646. -2925577194.0646 What is -188390 - -1393.648? -186996.352 What is -3 minus -1191440187314? 1191440187311 Total of 5.0289954 and -2.145. 2.8839954 What is 5993366395 less than -66468? -5993432863 Put together 14.0287276 and -69530.2. -69516.1712724 Add 9.08 and 270071192.8. 270071201.88 Total of 2 and -0.09477428531. 1.90522571469 Sum -0.01328 and 231691.3629. 231691.34962 Put together -447069142 and 3026. -447066116 Subtract -397 from -1789.97241. -1392.97241 Sum -0.64 and -1.863330069. -2.503330069 Subtract 223230335748 from 0.4. -223230335747.6 4809878005 + -29 4809877976 Calculate 1394.1 - 117622576. -117621181.9 Work out -155.753 - 735793. -735948.753 What is 59409.191 take away -15178? 74587.191 What is -1886243200.4 plus 0.183? -1886243200.217 -395 + 441036577 441036182 Calculate -871 - 1979142520. -1979143391 What is the distance between -127094 and -112536384? 112409290 Add together 30.52505594 and 5139. 5169.52505594 Work out 542487385 + 319. 542487704 Subtract 13690 from 1839622840. 1839609150 Add together 10315987082 and -0.36. 10315987081.64 Subtract 513445 from 583607. 70162 Calculate -81194 - 4387.92574. -85581.92574 Sum 0.5 and 0.49457792159. 0.99457792159 Subtract 13156730226 from -3. -13156730229 Calculate -5 + -9553.570747. -9558.570747 Work out 165194 + -3574590343. -3574425149 Add 10022148982598 and 29. 10022148982627 Put together -1837452.215 and 10.2. -1837442.015 12179 - 5129414 -5117235 What is -23.7623 minus -343965? 343941.2377 What is 787451333 - 17? 787451316 2+48857850413 48857850415 What is -5991 + 1.216818? -5989.783182 What is 8935206 take away -13114.744? 8948320.744 What is 1171 plus 282213339.466? 282214510.466 Work out 149051992 - -0.042438. 149051992.042438 Work out 146723 + 502809807. 502956530 Put together -863600892 and -51995. -863652887 Add together 0.118 and 0.86763906318. 0.98563906318 Subtract 25127365791 from 24897. -25127340894 What is 8.99 take away 6162585253? -6162585244.01 Add -6262.8 and -258169.1. -264431.9 0.39+43430661886 43430661886.39 Work out -3.420049663 + -706. -709.420049663 Add -90178716931724 and 4. -90178716931720 What is 0.050432 plus 4200767772? 4200767772.050432 Add 78 and 4332884756. 4332884834 Subtract 150260 from -0.09425009. -150260.09425009 Calculate -0.4 + 92157923920. 92157923919.6 11212 + -7576725 -7565513 479204.202+0.17798 479204.37998 Work out -0.12 - 59928442703. -59928442703.12 What is the distance between 0.10161 and -5.881957? 5.983567 -425441.594 + 0.0311 -425441.5629 Add -3 and 47909.721777. 47906.721777 0.6496 + -88867457 -88867456.3504 Calculate 4601.9 + -0.1418204995. 4601.7581795005 Sum 1314822205 and 4060.02. 1314826265.02 Work out -2 + -136658949609. -136658949611 Add together 1.147403276 and -3.6. -2.452596724 Work out -56.54287085 - 2522. -2578.54287085 Calculate -4825200980 - 34.19. -4825201014.19 Add -140.677 and 24.9879. -115.6891 What is -560543.707 - -3.434? -560540.273 -26.84 + 0.07300538 -26.76699462 What is the distance between -8355497 and -13.6154? 8355483.3846 Put together 19123877993609 and -5. 19123877993604 Calculate -3037771 - -17244130. 14206359 What is 634 minus 325307205711? -325307205077 Total of 141877.524 and -0.287051. 141877.236949 Add 26301955693512 and 1. 26301955693513 Work out 13 + 6203.36042417. 6216.36042417 0.4+-9229616376 -9229616375.6 What is -4430367756.3 take away 0.2? -4430367756.5 What is 334.0426578545 + -0.5? 333.5426578545 What is 91.059947 minus 127709.7? -127618.640053 What is -9517056.255783 + 0.3? -9517055.955783 Total of -0.1868132839 and -4077. -4077.1868132839 -3291699 - -660859 -2630840 What is -202620 take away -1007303643? 1007101023 What is 122726407298 less than -5? -122726407303 Calculate -12194.572338014 + 0.4. -12194.172338014 -67972 - -44053.59058 -23918.40942 -0.9019964166 - 4.88 -5.7819964166 Calculate 0.06 + -3529272236916. -3529272236915.94 What is the difference between -14595375146479 and -0.4? 14595375146478.6 Add together 5020.9 and 2452640.31. 2457661.21 Calculate -15697.358 + 3099606. 3083908.642 Work out -3.2182769 + 133018. 133014.7817231 What is -6.1 + 374925162? 374925155.9 What is 1.59535447476 - -0.5? 2.09535447476 What is the distance between 1763 and 1583161402? 1583159639 Put together 6.9 and -16648.01659968. -16641.11659968 What is -5578 - 1486074128? -1486079706 Put together -16014576512 and 2.033. -16014576509.967 Add -70995618 and -2766. -70998384 Work out 350549904 + 832.3. 350550736.3 Calculate -33 + 209054352168. 209054352135 9.8 - 2344469038 -2344469028.2 What is -1.2 take away 7336549.735344? -7336550.935344 Add 3209443214660 and -0.058. 3209443214659.942 What is 367253847 + 867? 367254714 Subtract 10114687304347 from 4.4. -10114687304342.6 What is -222.42 minus -339486504? 339486281.58 What is 41.3433404423 less than 0.05? -41.2933404423 Subtract -79 from 262.605735982. 341.605735982 693.12275094+0.3 693.42275094 Sum -13.244 and -67396051. -67396064.244 What is 0.006 plus -3075106.719? -3075106.713 Add 4 and 851221220178. 851221220182 Add -11392549.6 and 0.33137. -11392549.26863 Subtract -0.07 from -104980520177.8. -104980520177.73 66384990 - 1243 66383747 What is -27 less than -2178034175? -2178034148 385674060924 - -0.4 385674060924.4 Sum 2507265218 and 3.7044. 2507265221.7044 Subtract 699 from -8115737207. -8115737906 -4.37+-1464.9307345 -1469.3007345 What is 1.39967485 minus -324? 325.39967485 Work out -4366952855 + -39. -4366952894 Work out 2.304291202 + -4100. -4097.695708798 Work out -5 - -30385809.711. 30385804.711 Add -680017 and -0.1566363. -680017.1566363 Subtract 10977287469 from 0.88. -10977287468.12 Total of 0.075 and 8382773541. 8382773541.075 Sum -108853 and -113540.5. -222393.5 What is the distance between -6512732.35 and -282? 6512450.35 What is -5717556 - -47355? -5670201 What is -91747 + 10413167? 10321420 -1.594 + -12053.727158 -12055.321158 What is the distance between 3327.4 and -0.043829185? 3327.443829185 -0.02+9265936779.7 9265936779.68 Work out 5552548 - 2.4823. 5552545.5177 What is -0.3815514 take away -26823384? 26823383.6184486 Work out 319513 + 58459.13. 377972.13 1.22 + -0.0658161841 1.1541838159 Calculate -15524 + 8.692. -15515.308 Add -9551089 and 22471. -9528618 Calculate 55590 - -43946. 99536 Subtract -3643 from -1742495962. -1742492319 Work out 3597 + 270333448. 270337045 Total of 21 and 27205829609. 27205829630 -0.0029851 - 16324 -16324.0029851 10.716317296 - 2.3 8.416317296 -1.1 - 4528.2647885 -4529.3647885 What is 3270434919 plus -2.486? 3270434916.514 What is the distance between -0.02207 and 183437.929? 183437.95107 Subtract 480 from 8328934317.82. 8328933837.82 Add 26921724.324 and -2.26. 26921722.064 Subtract 434210 from 6517007. 6082797 Work out 0.08132 - 111658.29559. -111658.21427 Calculate -6.8 - -3047949944. 3047949937.2 What is -54604361299 - 0.4? -54604361299.4 Work out -3228218807.27 - -0.4. -3228218806.87 Work out -21576809.72776 + -0.5. -21576810.22776 0.24 - -4944391401424 4944391401424.24 What is -51052289250 minus -0.2? -51052289249.8 Add together -512052.027 and -2123. -514175.027 What is the difference between 50909 and 54.8946403? 50854.1053597 122.1 - 1989552391 -1989552268.9 What is -0.42558 plus 5.050973157? 4.625393157 Work out 0.13 - -458628303481. 458628303481.13 Put together -101.790666692 and 0.1256. -101.665066692 Work out -1.51 - -243359.66666. 243358.15666 Calculate 4.9555280631 - 1374. -1369.0444719369
Two letters picked without replacement from {j: 6, x: 2, g: 4, n: 1}. What is prob of sequence jg? 2/13 Calculate prob of sequence vdd when three letters picked without replacement from {d: 2, n: 1, v: 2, e: 1, x: 1, y: 2}. 1/126 Four letters picked without replacement from plllpl. Give prob of sequence llll. 1/15 Three letters picked without replacement from {x: 2, v: 1, d: 5, r: 1, m: 1}. What is prob of sequence dvr? 1/144 Calculate prob of sequence qq when two letters picked without replacement from qqqq. 1 Two letters picked without replacement from {c: 7, k: 9}. What is prob of sequence cc? 7/40 What is prob of sequence dce when three letters picked without replacement from cfdafdeccc? 1/90 Calculate prob of sequence ik when two letters picked without replacement from {m: 1, i: 2, y: 1, k: 3, j: 4}. 3/55 Calculate prob of sequence micj when four letters picked without replacement from {m: 1, c: 1, v: 3, n: 3, j: 2, i: 2}. 1/2970 What is prob of sequence lycy when four letters picked without replacement from {c: 1, l: 13, y: 3}? 13/9520 Four letters picked without replacement from {f: 5, n: 7, z: 1, b: 5}. What is prob of sequence bffn? 35/3672 What is prob of sequence va when two letters picked without replacement from rlvvrclfllclrvvfvlla? 1/76 Two letters picked without replacement from yrryryyryr. Give prob of sequence ry. 5/18 Calculate prob of sequence oa when two letters picked without replacement from {o: 1, z: 2, a: 2}. 1/10 Four letters picked without replacement from {s: 3, l: 1, o: 3, x: 1, u: 3, f: 3}. What is prob of sequence fsos? 9/4004 Two letters picked without replacement from pqqpiipsqsqis. What is prob of sequence pq? 1/13 Calculate prob of sequence xss when three letters picked without replacement from xxxxxxxsssx. 8/165 Calculate prob of sequence cxx when three letters picked without replacement from xxxxccxccxxccxcxxxx. 154/969 Three letters picked without replacement from yyjsppsppsxptssss. What is prob of sequence yjp? 1/408 Three letters picked without replacement from noooooamomom. Give prob of sequence moa. 7/440 What is prob of sequence bdd when three letters picked without replacement from bbbdbgfbffgbbbfdfb? 1/272 What is prob of sequence bbbj when four letters picked without replacement from {j: 1, b: 7}? 1/8 Calculate prob of sequence gg when two letters picked without replacement from ggggg. 1 Calculate prob of sequence fxff when four letters picked without replacement from ffxxf. 1/10 Four letters picked without replacement from lgululgullulggll. What is prob of sequence lguu? 4/455 Two letters picked without replacement from {w: 3, s: 1}. What is prob of sequence sw? 1/4 Calculate prob of sequence hks when three letters picked without replacement from {w: 1, s: 2, h: 1, k: 1}. 1/30 Four letters picked without replacement from mmkmmmkmkkkkkymmmmm. Give prob of sequence kymm. 385/46512 Two letters picked without replacement from ahbzllwbwwzb. Give prob of sequence zl. 1/33 Two letters picked without replacement from {j: 1, g: 2, t: 2, d: 1, a: 2, v: 1}. What is prob of sequence dj? 1/72 Three letters picked without replacement from {v: 10}. Give prob of sequence vvv. 1 Two letters picked without replacement from {d: 2, b: 1, a: 1, u: 1}. Give prob of sequence bd. 1/10 Two letters picked without replacement from tkuktttkjvvvjvjjtuu. Give prob of sequence jt. 10/171 Two letters picked without replacement from {q: 1, a: 2, y: 3, j: 3, w: 1}. Give prob of sequence jq. 1/30 Calculate prob of sequence bbm when three letters picked without replacement from bmybbbybmmbmbbyb. 3/35 Three letters picked without replacement from {j: 1, l: 1, d: 3, c: 5, v: 2, i: 3}. What is prob of sequence ivv? 1/455 Three letters picked without replacement from {f: 6, i: 3, c: 2, r: 4}. Give prob of sequence ffr. 4/91 Three letters picked without replacement from {r: 1, w: 1, h: 2, v: 3}. What is prob of sequence vrw? 1/70 What is prob of sequence iss when three letters picked without replacement from {s: 16, i: 4}? 8/57 What is prob of sequence qo when two letters picked without replacement from {a: 3, m: 2, o: 1, q: 1, x: 3}? 1/90 Calculate prob of sequence awaa when four letters picked without replacement from xwxawawwwwwawwaa. 9/728 Calculate prob of sequence dof when three letters picked without replacement from {d: 7, o: 1, f: 2}. 7/360 Three letters picked without replacement from {a: 5, b: 15}. What is prob of sequence bba? 35/228 What is prob of sequence rfn when three letters picked without replacement from {r: 1, f: 5, k: 3, n: 2, l: 3, p: 1}? 1/273 What is prob of sequence yqj when three letters picked without replacement from {q: 2, f: 3, y: 2, j: 6, g: 1, b: 4}? 1/204 Two letters picked without replacement from gugurj. Give prob of sequence ur. 1/15 Two letters picked without replacement from kkkdkdkdkkkkdkvvkdk. What is prob of sequence vv? 1/171 Three letters picked without replacement from ssssssqsssqssqqsssq. What is prob of sequence ssq? 455/2907 Two letters picked without replacement from {w: 2, x: 2, k: 4}. Give prob of sequence xw. 1/14 Four letters picked without replacement from ttxbxsxtbbbxxbx. What is prob of sequence btbs? 1/546 Two letters picked without replacement from {i: 3, d: 1, r: 3}. What is prob of sequence ir? 3/14 Four letters picked without replacement from {b: 4, i: 3, g: 1, z: 2}. What is prob of sequence bbbi? 1/70 Calculate prob of sequence ue when two letters picked without replacement from eedidud. 1/21 Two letters picked without replacement from lom. Give prob of sequence lo. 1/6 Three letters picked without replacement from ljdjtmm. What is prob of sequence dmm? 1/105 Three letters picked without replacement from xjbbbbbhjjhbh. What is prob of sequence xjb? 3/286 Two letters picked without replacement from {d: 3, s: 1, r: 4, w: 3}. Give prob of sequence sr. 2/55 Two letters picked without replacement from {x: 5, d: 8}. Give prob of sequence dx. 10/39 What is prob of sequence bmm when three letters picked without replacement from {m: 2, b: 8}? 1/45 Four letters picked without replacement from {d: 1, q: 5, s: 2, o: 1}. What is prob of sequence sdqq? 5/378 Two letters picked without replacement from {m: 4, k: 8, r: 8}. Give prob of sequence rr. 14/95 Three letters picked without replacement from fttbaaaatva. What is prob of sequence bta? 1/66 Two letters picked without replacement from {u: 1, m: 4, v: 1, g: 2, t: 3}. Give prob of sequence gu. 1/55 What is prob of sequence qneo when four letters picked without replacement from {o: 2, c: 7, t: 4, e: 1, q: 1, n: 3}? 1/12240 Two letters picked without replacement from {o: 2, k: 10}. What is prob of sequence ko? 5/33 What is prob of sequence nve when three letters picked without replacement from eeennnjnjnvneneejn? 1/102 What is prob of sequence ewi when three letters picked without replacement from {e: 5, w: 1, i: 4}? 1/36 Calculate prob of sequence wx when two letters picked without replacement from mwwdwwwtx. 5/72 Three letters picked without replacement from iiiiiiiiifiif. What is prob of sequence ffi? 1/78 Four letters picked without replacement from agonogxx. What is prob of sequence xxgn? 1/420 What is prob of sequence ebux when four letters picked without replacement from ebbubxfesbex? 1/495 Three letters picked without replacement from lfclcccfl. What is prob of sequence clc? 1/14 What is prob of sequence wl when two letters picked without replacement from {l: 4, i: 10, w: 2}? 1/30 Four letters picked without replacement from yysnynssyy. Give prob of sequence ysss. 1/168 What is prob of sequence ffff when four letters picked without replacement from {f: 4}? 1 Calculate prob of sequence fcf when three letters picked without replacement from ffwffcwfccc. 8/99 Calculate prob of sequence yyq when three letters picked without replacement from yyserqy. 1/35 Calculate prob of sequence hwu when three letters picked without replacement from {n: 4, w: 2, u: 1, h: 2, m: 7}. 1/840 Two letters picked without replacement from hkzkkhkkzhh. Give prob of sequence hk. 2/11 Four letters picked without replacement from zqqozqqqwqwovowzqqo. Give prob of sequence zqqq. 7/646 Four letters picked without replacement from kkkkkkkssskkks. What is prob of sequence ksss? 10/1001 What is prob of sequence gwk when three letters picked without replacement from kwwuwkuwguuwkwwwg? 1/85 Four letters picked without replacement from sggdddsgdgggdgqddgg. Give prob of sequence gssg. 1/646
Calculate the highest common factor of 10207 and 9853. 59 What is the highest common divisor of 27605 and 5? 5 What is the greatest common factor of 182 and 18816? 14 What is the greatest common factor of 7782 and 420? 6 Calculate the greatest common divisor of 600 and 123900. 300 Calculate the highest common divisor of 3764 and 47991. 941 Calculate the highest common divisor of 11377 and 165517. 367 Calculate the highest common factor of 396 and 9270. 18 What is the highest common factor of 145 and 2847220? 145 Calculate the highest common factor of 19012 and 3136. 196 What is the greatest common factor of 267 and 55091? 89 Calculate the highest common divisor of 1529190 and 1872. 234 Calculate the greatest common factor of 783 and 17487. 261 What is the highest common divisor of 7 and 101521? 7 Calculate the highest common divisor of 46244 and 176. 44 What is the greatest common factor of 16 and 349424? 16 What is the highest common divisor of 16 and 783352? 8 Calculate the highest common divisor of 6364 and 9116. 172 Calculate the highest common factor of 7891 and 4849. 13 Calculate the greatest common divisor of 10368 and 300. 12 Calculate the highest common divisor of 15 and 536565. 15 Calculate the highest common factor of 530 and 6294. 2 What is the greatest common factor of 2076 and 11937? 519 Calculate the greatest common divisor of 123 and 39. 3 Calculate the highest common factor of 108621 and 27702. 729 What is the greatest common divisor of 83274 and 78? 6 Calculate the highest common divisor of 38198 and 710. 142 What is the highest common factor of 243 and 100197? 81 Calculate the greatest common divisor of 855360 and 675. 135 Calculate the highest common factor of 58 and 96686. 58 Calculate the highest common factor of 107 and 93. 1 Calculate the highest common divisor of 555 and 65220. 15 What is the highest common factor of 3 and 2237? 1 What is the greatest common factor of 368 and 433412? 92 What is the highest common divisor of 1795704 and 72? 24 What is the greatest common factor of 41178 and 4? 2 Calculate the highest common divisor of 9920 and 88960. 320 Calculate the greatest common divisor of 2151 and 36. 9 What is the greatest common factor of 56240 and 40700? 740 What is the highest common factor of 102780 and 192? 12 Calculate the highest common factor of 1171548 and 315. 63 Calculate the greatest common factor of 1145 and 45. 5 Calculate the greatest common factor of 38918 and 122. 122 What is the greatest common factor of 395720 and 26? 26 What is the greatest common divisor of 735 and 19860? 15 Calculate the greatest common divisor of 1390 and 3760. 10 What is the greatest common divisor of 323 and 25764? 19 Calculate the highest common divisor of 7 and 60487. 7 Calculate the greatest common factor of 330 and 78144. 66 What is the greatest common factor of 91260 and 1944? 108 What is the highest common factor of 1308747 and 33? 33 What is the highest common divisor of 1116414 and 9? 9 What is the greatest common factor of 98 and 145579? 49 Calculate the highest common divisor of 174 and 1896. 6 What is the highest common divisor of 6253 and 12025? 481 Calculate the greatest common divisor of 383 and 109538. 383 Calculate the highest common divisor of 1534 and 23218. 26 What is the highest common factor of 61401 and 2328? 291 Calculate the highest common divisor of 686 and 3535. 7 What is the highest common factor of 174 and 91118? 58 What is the highest common factor of 39358 and 22? 22 What is the highest common divisor of 8189 and 235757? 431 What is the greatest common factor of 30 and 1512954? 6 Calculate the highest common divisor of 890975 and 227. 227 What is the highest common factor of 43326 and 3654? 522 Calculate the highest common divisor of 9210 and 28830. 30 Calculate the greatest common factor of 612 and 236385. 153 Calculate the highest common factor of 236 and 1593. 59 Calculate the greatest common factor of 612 and 2805. 51 What is the greatest common factor of 19 and 12424917? 19 Calculate the greatest common divisor of 191264 and 3698. 86 Calculate the highest common divisor of 2690 and 203902. 538 Calculate the greatest common factor of 8299 and 1763. 43 Calculate the greatest common divisor of 3912 and 6168. 24 What is the greatest common factor of 15300 and 242148? 204 Calculate the greatest common factor of 333046 and 98. 14 Calculate the greatest common factor of 2832 and 264615. 177 Calculate the highest common divisor of 1 and 141067. 1 Calculate the highest common divisor of 50816 and 4096. 128 Calculate the greatest common factor of 245 and 95599. 49 What is the greatest common divisor of 198 and 28776? 66 Calculate the greatest common divisor of 195 and 56865. 15 Calculate the highest common factor of 28 and 8003548. 28 Calculate the highest common factor of 83411 and 478. 239 Calculate the greatest common divisor of 617232 and 3168. 528 Calculate the highest common divisor of 3042754 and 26. 26 What is the greatest common divisor of 4404 and 120? 12 Calculate the greatest common factor of 2519 and 99. 11 What is the greatest common divisor of 288 and 149752? 8 What is the highest common divisor of 1440 and 46260? 180 Calculate the highest common divisor of 3295 and 16. 1 Calculate the highest common factor of 59371 and 481. 13 What is the greatest common factor of 679458 and 465? 93 Calculate the highest common factor of 272 and 187000. 136 Calculate the greatest common factor of 75980 and 1179. 131 What is the highest common divisor of 2240 and 356480? 320 Calculate the highest common factor of 1810 and 37467. 181 Calculate the highest common divisor of 816 and 5352. 24 What is the greatest common factor of 3979 and 23? 23 What is the greatest common factor of 10053 and 27? 9 Calculate the highest common factor of 13755 and 315. 105 What is the highest common divisor of 441 and 13279? 49 What is the highest common factor of 1786812 and 8052? 732 What is the greatest common factor of 2316 and 1878? 6 Calculate the highest common divisor of 280 and 39800. 40 Calculate the highest common factor of 7497 and 184338. 441 What is the highest common divisor of 4350 and 31494? 174 What is the highest common divisor of 15225 and 9396? 87 Calculate the greatest common factor of 3128 and 646. 34 What is the highest common divisor of 269 and 4820749? 269 What is the greatest common divisor of 930 and 6945? 15 What is the highest common factor of 245 and 101030? 5 What is the highest common factor of 427 and 521672? 61 What is the greatest common divisor of 36636 and 13588? 172 Calculate the highest common divisor of 3186 and 1728. 54 Calculate the greatest common factor of 80 and 124720. 80 What is the greatest common divisor of 149904 and 432? 432 What is the greatest common factor of 64 and 1604? 4 Calculate the highest common divisor of 32967 and 222. 111 Calculate the greatest common divisor of 1952 and 19337. 61 What is the highest common divisor of 418 and 13927? 19 Calculate the greatest common factor of 132 and 701107. 11 What is the greatest common factor of 3352 and 693445? 419 Calculate the highest common factor of 128 and 1492. 4 Calculate the greatest common divisor of 468 and 43641. 117 What is the highest common divisor of 967690 and 30? 10 What is the greatest common divisor of 177 and 42893? 59 What is the greatest common divisor of 78 and 49647? 39 What is the greatest common divisor of 1 and 224492? 1 Calculate the greatest common factor of 150 and 389350. 50 What is the highest common divisor of 1606112 and 128? 32 What is the highest common factor of 25764 and 34428? 228 What is the greatest common divisor of 41496 and 130? 26 What is the greatest common factor of 729 and 6723? 81 What is the greatest common factor of 22 and 12247202? 22 Calculate the greatest common factor of 13509 and 6399. 711 What is the greatest common factor of 8036 and 1918? 14 What is the greatest common factor of 31 and 1849739? 31 Calculate the highest common factor of 179929 and 69. 23 What is the highest common divisor of 9 and 6597? 9 Calculate the highest common factor of 2997596 and 28. 28 What is the highest common divisor of 1106 and 10777970? 1106 Calculate the greatest common factor of 1085 and 405139. 217 What is the highest common divisor of 6020 and 1985740? 860 What is the highest common factor of 704 and 4744? 8 What is the highest common factor of 256 and 1312? 32 What is the highest common divisor of 32164747 and 157? 157 Calculate the highest common divisor of 147 and 17241. 21
Let s = 173 - 689/4. Suppose 1 = o - 0*o. Let t = o + 0. Which is bigger: s or t? t Suppose -14 + 0 = 4*w + 2*q, -2*q = 5*w + 15. Let a be (-5)/(-22) + 7/(-14). Which is greater: a or w? a Let h = 64 - 64. Is 2/361 less than h? False Let o be 4/(-18) - (-41)/144. Which is greater: -1 or o? o Let i = 11 - 26. Is i at least as big as -16? True Let m = 3 + 0. Suppose -m*f + 3*s - s + 19 = 0, 35 = 5*f - 5*s. Suppose 2*a - 6 = -2*o, -o + 6*o - f*a + 5 = 0. Which is bigger: 0 or o? o Let r(z) = 2*z**2 - 13*z - 2. Let x be r(6). Which is smaller: -0.16 or x? x Let p = 8/5 - 4/5. Let k be 8/44 + 6/88. Are k and p non-equal? True Suppose -4*z = 2*n + 3*n - 8, 0 = -4*n - z + 13. Suppose 144 = n*o - o. Let j be (3 + (-141)/o)*2. Do j and 1 have the same value? False Suppose 2*t = -2*r + 2, 0 - 3 = r + 3*t. Suppose 3*x + r = 9. Suppose 5*s = j - 25, 0 = x*j + 4*s + 8 + 12. Is 0 at most j? True Let w be 0 + (-431)/290 - 3. Let k = w - 2/145. Which is smaller: k or -5? -5 Let p be (-1)/(-5*13/(-139)). Let y = -669/13 + 53. Let r = p + y. Which is bigger: r or -2? r Suppose 24 = -2*g + 2*f + 4, -4*g - 16 = 2*f. Let m be g/(-15) + 1 + -1. Is m greater than 2? False Suppose 11*b = 13*b + 4. Let f be ((-1)/3)/(b/3). Is -4 at most f? True Let f(w) = -w**3 + 2*w**2. Let s(n) = -n**2. Let i(t) = -f(t) - 2*s(t). Let b be i(2). Let c be b/6 - (-5 - -7). Is c <= -2? False Let r(n) = 6*n - 14. Let y(v) = 4*v - 9. Let i(p) = 5*r(p) - 8*y(p). Let t be i(2). Is -0.1 at least t? True Let c be 1/2 - (-1)/(-2). Which is smaller: 2/9 or c? c Suppose w + 2 = -3*q + 1, -4*q + 2 = 2*w. Let d = -16 + 13. Are q and d unequal? True Let o(d) = -d**3 + 5*d**2 - 4*d - 1. Let t be o(3). Suppose -99 + 24 = -t*b. Do b and 15 have the same value? True Let n = 78 + -74. Are n and 1 unequal? True Let d be (7/14)/(1/(-424)). Let o = d + 1478/7. Which is bigger: o or 0.1? 0.1 Let y = -13 - -14. Is y bigger than -2? True Let x be 3 - 2*(-1)/2. Suppose 2*p + 3*c = 18, 0 = -p - 3*p + 4*c - x. Is 3 greater than p? False Let n = -47/294 - 20443/1470. Let p = -41/3 - n. Is 1 > p? True Let g = 142 - 706/5. Is g bigger than 2/19? True Let g = -17 + 12. Let z = g + 5. Let j(s) = s**3 - 5*s**2. Let m be j(5). Are m and z equal? True Let w(n) = -15*n. Let z be w(1). Let v be (-2)/(-42) + 5/z. Let a = 1/19 - -16/57. Is a < v? False Let u be 8/(-44) + (-18)/22. Let h = -1 + u. Is -1 at most as big as h? False Suppose -2*y = -42 - 0. Suppose 0*o - 4*o - 16 = 4*f, 5*f = -4*o - y. Let v = 2 + 0. Is o != v? True Let f = 81 - 87. Which is smaller: f or 0? f Let o be 2/6*(-6)/9. Let x = -115 - -119. Is x greater than or equal to o? True Let q(f) = -f**3 + 9*f**2 - 10*f + 5. Let h be q(8). Which is smaller: h or -12? -12 Let d = -17/18 - -4/9. Let i = -0.1 - -0.4. Let y = 0.3 - i. Is y >= d? True Let u be (-5)/(-25) + (-1)/5. Suppose u = 4*y + y - 25, -4*c - 4*y + 8 = 0. Which is smaller: -2 or c? c Let q be 0 + (-16)/(-7) + -2. Is q greater than or equal to 8? False Suppose r + 21 = 5*z, 0*z - 12 = -3*z. Let k = 1329/170 + -77/10. Which is bigger: r or k? k Suppose 0 = 4*s - s - 15, 5*b + 90 = 5*s. Is -14 equal to b? False Let k = 1.1 + -0.1. Let l = 17 - 19. Let y = l + k. Is -1 less than y? False Let a = -3499 + 115495/33. Let c = a + -2/3. Which is greater: -1/3 or c? c Let g = -0.9 - -1. Let y = -1.9 - g. Which is bigger: y or -1? -1 Let h be (-338)/(-290) + -1 + (-31)/155. Which is greater: h or -1? h Let d be 1/27*(-2 - -1). Is d at least 1? False Let p be 3 - (3 - (-3)/4). Is -2 bigger than p? False Let l = -24 - -45. Is 0.1 not equal to l? True Let c = -8 + -2. Which is smaller: c or 0.1? c Let l be -2 + 57/27 + 0. Which is bigger: -0.1 or l? l Let q = 29 + -29. Suppose 0 = -q*j - j. Which is smaller: 6/13 or j? j Let v = -10 + 5. Let q = 0.45 - 5.35. Let a = q - v. Are a and -0.3 non-equal? True Suppose -2*a = -14 + 4. Suppose g = 3*j + a, -2*g + 3*j = -5 - 2. Suppose 5*m + 0*m = l - 8, g*l + 6 = -m. Is -3 < m? True Let l = 14 + -10. Let q = -19 - -21. Let m = q - l. Which is smaller: -1 or m? m Let r(c) = c**3 - 3*c**2 - c + 2. Let i be r(3). Suppose 0 = 3*q, -3*w + 0*q - 2*q + 9 = 0. Suppose -f - j - 3 = 2*f, -w*j = -5*f + 9. Which is smaller: i or f? i Let y be ((-4)/(-20))/((-62)/11264). Let x = y - -182/5. Is 1 < x? False Let o(n) be the third derivative of -n**6/30 + n**3/6 + 4*n**2. Let d be o(1). Is -3 bigger than d? False Suppose 0 = -9*b + 12*b + 18. Which is smaller: b or -3? b Let w = 7.03 - 7. Let q = w + -0.23. Is q smaller than -2/7? False Let q = -2.08 - -2. Let h = 3.08 + q. Is 0 <= h? True Let n = -3919/20 + 196. Let j = -599 - -600. Which is greater: j or n? j Let m(r) be the second derivative of -r**5/120 - 5*r**4/24 - r**3/3 + 2*r. Let s(t) be the second derivative of m(t). Let c be s(-4). Is c less than 2/11? True Let v be 0 + 1 - 42/(-3). Let y(d) = 7*d - d**2 + v - 8 + 2*d**2. Let j be y(-6). Which is greater: j or 2/17? j Suppose 2*g - 4 + 0 = 0. Let t = -4 + g. Which is bigger: t or 0? 0 Let c = -0.3 - -1.3. Let w(b) = b**3 + 3*b**2 - 2*b - 6. Let v be w(-3). Suppose z = -v*z - 1. Is z at most c? True Let s = -4 + 13. Let t(x) = -x**2 + 11*x + 12. Let f be t(11). Suppose -3*o - o + 28 = g, -3*o + f = 3*g. Is o < s? True Let z be 0 + 15/6*-4. Let v be ((-6)/12)/(z/12). Is 2 smaller than v? False Let l = 6 - 3. Let j(m) = -m**3 - 4*m**2 - 4*m - 6. Let u be j(-4). Let w be (6/(-5))/((-4)/u). Is w greater than or equal to l? True Let x be 131/33 + 3 + -6. Let d = x + -7/11. Is d at most -1? False Suppose -2*u - 12 = -6*u, 0 = 4*t - 5*u + 19. Let o = -5 + 6. Do t and o have the same value? False Suppose 10 = 3*g - 5*g, 2*s = 2*g + 10. Suppose -5*u + 5 + s = 0. Let h be (-1)/(-4) - 1/4. Which is greater: u or h? u Let c(h) = -h + 2. Let m be c(2). Let j be (m - -1)/1*8. Let q be j/(-15)*(-3)/12. Are 1 and q unequal? True Let t be 0 - (-2 + 1) - 0. Suppose 18*w - 21*w = -9. Let n be 1/(-6) + w/2. Is t smaller than n? True Let v = -56.1 + 59. Let a = -3 + v. Let n = a + 1.1. Which is greater: n or -2/7? n Let j = -4 - -3.7. Let t = j - -0.3. Let x = 6/31 + -28/465. Which is smaller: t or x? t Suppose 5*q + b + 180 = -4*b, 4*b = 16. Is q less than -38? True Suppose 5 = -5*c - 0. Let q = -3 - c. Which is greater: q or -0.01? -0.01 Let z = 13/4 + -3. Is 1 > z? True Suppose -2*u = 8 - 2. Suppose 0*s - s = 2. Which is smaller: s or u? u Let u = 4 - 0. Suppose 4*r - 4*z = 8, 2*r - 9 = u*z - 7*z. Suppose -r*j = j + 4. Is j less than or equal to 1? True Let x(u) = u + 1. Let o be x(1). Suppose 3*r = 4*p + 23, -r + 6 = -o*p + p. Which is bigger: 2 or r? 2 Let j(a) = 3*a + 1. Let u be j(-1). Let f = -6 - u. Is -5 <= f? True Let b be 18/15 + (-1)/5. Suppose -i = -0 - b. Which is greater: 0 or i? i Let g be 4/(-14) - (-18)/63. Let x be (-1)/(-2)*-2 + 2. Which is greater: x or g? x Let v = -0.92 + 1.32. Is 0.2 equal to v? False Let z be 48/22 + (-2)/11. Let g(n) = -7*n + 0 + n**2 + 5 + z. Let d be g(6). Is d bigger than -4/9? True Let u = 2 + -3. Let b = 0.7 + u. Let p = b + 0.4. Is p smaller than -2/3? False Let m = 0.2 + -0.18. Let t = m + 1.98. Let i = 100 + -100. Which is greater: i or t? t Suppose 0 = 3*j + 6, -5*v - j - 1 = 26. Let d = -3 - v. Which is smaller: d or 4? d Let o(d) = -d**3 + 8*d**2 - 13*d - 8. Let t be o(6). Which is smaller: t or -12? t Suppose 0 = -o - a + 1, -2*a + 6 = 5*o - 11. Suppose 4*k = -4, m - 1 = o*k - 3. Are -6 and m non-equal? True Suppose -4*m + 0*m = -16. Suppose 0*v + m*v - 12 = 0. Suppose v*i = -i. Is -2/11 equal to i? False Let g = 0.2 + -0.4. Let o = -64 + 62.93. Let t = -0.07 - o. Is t at most as big as g? False Let b = -1.2 + 2. Let r = b - 2. Let k = r - -6.2. Which is smaller: -2/3 or k? -2/3 Let d(k) = 6*k + 3 - k**2 - 4*k + 2*k + 0*k. Let n be d(4). Suppose 0 = o + n - 2. Which is greater: o or -2? o Let b = -6 - -5. Let y = -2/279 + -544/1953. Is b bigger than y? False Let a = 0.3 + -0.1. Let c = 2.41 - 0.21. Let v = c - a. Which is smaller: v or 2/5? 2/5 Let n = 16 - 15. Which is bigger: n or -1/48? n Let d = -6 - -11. Suppose 12 = -0*g + 4*g. Suppose 43 = g*j + 2*s + 3*s, 5*j + s = 35. Which is smaller: j or d? d Suppose -3*q = -7*q. Let x be q + (-3)/1*-1. Let d be (-8)/(-12) - 5/x. Which is bigger: 0 or d? 0 Suppose -f + 12 = 4*v, 3*v + 1 = 7. Suppose -f - 14 = 3*s. Is -7 at most as big as s? True Let o = -1121/98 + -3/49. Let s = -11 - o. Which is bigger: s or 2? 2 Let i = -105 - -3149/30. Which is smaller: 1 or i? i Suppose -2*u - 4 = u - 2*b, 4*b - 8 = 5*u. Let n be (5612/1050 - 3) + -3. Let x = n + -2/175. Which is bigger: x or u? u
What is the thousands digit of 9955301? 5 What is the units digit of 403076? 6 What is the units digit of 286780? 0 What is the thousands digit of 366622? 6 What is the hundred thousands digit of 162591? 1 What is the hundred thousands digit of 5951111? 9 What is the hundred thousands digit of 2154387? 1 What is the millions digit of 1257279? 1 What is the thousands digit of 868717? 8 What is the units digit of 2073546? 6 What is the tens digit of 277156? 5 What is the tens digit of 243339? 3 What is the hundred thousands digit of 984893? 9 What is the tens digit of 804554? 5 What is the thousands digit of 4467721? 7 What is the thousands digit of 26586? 6 What is the units digit of 1365496? 6 What is the ten thousands digit of 91482? 9 What is the hundred thousands digit of 2010164? 0 What is the hundred thousands digit of 133211? 1 What is the ten thousands digit of 174328? 7 What is the hundreds digit of 510660? 6 What is the units digit of 427306? 6 What is the millions digit of 19253193? 9 What is the tens digit of 18585358? 5 What is the thousands digit of 10300153? 0 What is the tens digit of 1117138? 3 What is the tens digit of 1286693? 9 What is the hundreds digit of 1923748? 7 What is the tens digit of 576980? 8 What is the hundreds digit of 12309290? 2 What is the millions digit of 13010368? 3 What is the thousands digit of 3519198? 9 What is the tens digit of 64260? 6 What is the units digit of 6930793? 3 What is the tens digit of 123345? 4 What is the hundreds digit of 4888341? 3 What is the hundred thousands digit of 8838355? 8 What is the tens digit of 251879? 7 What is the tens digit of 598368? 6 What is the units digit of 102893? 3 What is the thousands digit of 27846? 7 What is the hundred thousands digit of 767616? 7 What is the units digit of 1601223? 3 What is the thousands digit of 10772485? 2 What is the ten thousands digit of 175825? 7 What is the hundreds digit of 774591? 5 What is the millions digit of 4512325? 4 What is the hundred thousands digit of 159289? 1 What is the hundreds digit of 4693090? 0 What is the units digit of 190771? 1 What is the hundred thousands digit of 123138? 1 What is the thousands digit of 5242050? 2 What is the hundreds digit of 2636443? 4 What is the hundred thousands digit of 6820805? 8 What is the hundreds digit of 386866? 8 What is the thousands digit of 73795? 3 What is the units digit of 531044? 4 What is the units digit of 393021? 1 What is the thousands digit of 10205228? 5 What is the units digit of 6985363? 3 What is the ten thousands digit of 1125479? 2 What is the units digit of 478751? 1 What is the thousands digit of 4301969? 1 What is the hundred thousands digit of 2056706? 0 What is the hundreds digit of 1414004? 0 What is the thousands digit of 5541615? 1 What is the ten thousands digit of 381281? 8 What is the hundreds digit of 512595? 5 What is the hundreds digit of 648161? 1 What is the units digit of 73055? 5 What is the thousands digit of 40569827? 9 What is the hundred thousands digit of 5525849? 5 What is the ten millions digit of 21742211? 2 What is the millions digit of 1655097? 1 What is the thousands digit of 1756980? 6 What is the hundreds digit of 9579845? 8 What is the thousands digit of 508295? 8 What is the units digit of 37705244? 4 What is the units digit of 1165410? 0 What is the hundred thousands digit of 1886315? 8 What is the hundreds digit of 390206? 2 What is the thousands digit of 98040? 8 What is the units digit of 844831? 1 What is the units digit of 339290? 0 What is the ten thousands digit of 1201686? 0 What is the hundreds digit of 77775? 7 What is the hundreds digit of 700278? 2 What is the units digit of 4729445? 5 What is the ten thousands digit of 259372? 5 What is the hundreds digit of 797788? 7 What is the hundreds digit of 194527? 5 What is the millions digit of 26616796? 6 What is the thousands digit of 4636235? 6 What is the hundreds digit of 384410? 4 What is the tens digit of 6156296? 9 What is the thousands digit of 2519774? 9 What is the millions digit of 3810468? 3 What is the hundred thousands digit of 921649? 9 What is the tens digit of 2136392? 9 What is the ten thousands digit of 2098287? 9 What is the tens digit of 259216? 1 What is the hundred thousands digit of 4547342? 5 What is the ten thousands digit of 13000998? 0 What is the thousands digit of 278088? 8 What is the tens digit of 15440130? 3 What is the hundred thousands digit of 524439? 5 What is the hundreds digit of 5032302? 3 What is the thousands digit of 6308043? 8 What is the units digit of 2797708? 8 What is the units digit of 194832? 2 What is the tens digit of 569392? 9 What is the millions digit of 40163912? 0 What is the thousands digit of 19783816? 3 What is the units digit of 470693? 3 What is the thousands digit of 67473? 7 What is the thousands digit of 31162? 1 What is the ten thousands digit of 1742958? 4 What is the hundreds digit of 6998705? 7 What is the tens digit of 363519? 1 What is the hundred thousands digit of 522716? 5 What is the hundreds digit of 6237938? 9 What is the tens digit of 233383? 8 What is the thousands digit of 4729401? 9 What is the hundreds digit of 46206? 2 What is the hundreds digit of 97788? 7 What is the ten thousands digit of 2515587? 1 What is the units digit of 4826235? 5 What is the thousands digit of 1634049? 4 What is the thousands digit of 136894? 6 What is the tens digit of 6609196? 9 What is the hundreds digit of 276895? 8 What is the millions digit of 2806679? 2 What is the thousands digit of 416912? 6 What is the units digit of 19940433? 3 What is the ten thousands digit of 2087726? 8 What is the hundred thousands digit of 138724? 1 What is the hundreds digit of 313203? 2 What is the thousands digit of 60835? 0 What is the hundreds digit of 3798802? 8 What is the hundreds digit of 752715? 7 What is the tens digit of 13489277? 7 What is the ten thousands digit of 1163453? 6 What is the units digit of 464620? 0 What is the units digit of 5605629? 9 What is the hundred thousands digit of 15106068? 1 What is the units digit of 33752? 2 What is the ten thousands digit of 26678893? 7 What is the thousands digit of 141526? 1 What is the ten thousands digit of 165495? 6 What is the hundreds digit of 201774? 7 What is the thousands digit of 52045? 2 What is the hundreds digit of 359384? 3 What is the ten thousands digit of 1064383? 6 What is the hundreds digit of 979? 9 What is the hundred thousands digit of 196005? 1 What is the tens digit of 1348663? 6 What is the millions digit of 4112811? 4 What is the hundred thousands digit of 144558? 1 What is the hundreds digit of 471011? 0 What is the hundreds digit of 12924091? 0 What is the hundreds digit of 1024055? 0 What is the ten millions digit of 12098337? 1 What is the units digit of 63053? 3 What is the units digit of 536793? 3 What is the tens digit of 423951? 5 What is the hundred thousands digit of 4387009? 3 What is the thousands digit of 128310? 8 What is the tens digit of 10335288? 8 What is the ten thousands digit of 4273975? 7 What is the tens digit of 16302286? 8 What is the ten thousands digit of 5699012? 9 What is the hundred thousands digit of 25344244? 3 What is the hundreds digit of 4677829? 8 What is the ten thousands digit of 4369432? 6 What is the tens digit of 1736625? 2 What is the thousands digit of 3794993? 4 What is the ten thousands digit of 206841? 0 What is the thousands digit of 11143585? 3 What is the hundred thousands digit of 1223350? 2 What is the hundreds digit of 660728? 7 What is the thousands digit of 261651? 1 What is the hundreds digit of 440062? 0 What is the tens digit of 6150? 5 What is the ten thousands digit of 3411357? 1 What is the ten thousands digit of 3556810? 5 What is the ten thousands digit of 54013? 5 What is the tens digit of 2814441? 4 What is the units digit of 432673? 3 What is the thousands digit of 29865077? 5 What is the thousands digit of 692514? 2 What is the ten thousands digit of 1245285? 4 What is the thousands digit of 40138? 0 What is the hundreds digit of 3202079? 0 What is the hundred thousands digit of 1437682? 4 What is the thousands digit of 375404? 5 What is the ten thousands digit of 286230? 8 What is the hundreds digit of 465956? 9 What is the hundred thousands digit of 4435476? 4 What is the units digit of 4222468? 8 What is the millions digit of 1012275? 1 What is the hundreds digit of 15145736? 7 What is the hundreds digit of 139216? 2 What is the millions digit of 3283691? 3 What is the hundreds digit of 467515? 5 What is the millions digit of 12029639? 2 What is the units digit of 45134? 4 What is the units digit of 1234444? 4
Let r(x) = -x**3 - 17*x**2 - 50*x + 56. What is the remainder when 265 is divided by r(-13)? 25 Suppose 55*q + 32*q = 4339 + 707. Suppose -4*j = -2*j - 458. Calculate the remainder when j is divided by q. 55 Let k(i) = -6*i + 243. Let j be k(40). What is the remainder when 329 is divided by (j - 3) + (-1)/1 - -87? 71 Let i = 11 - -9. Suppose 0 = 2*u - 60 + i. Suppose 5*y + 132 - 417 = 0. Calculate the remainder when y is divided by u. 17 Let t = 1321 - 1337. Let u = 38 + t. Calculate the remainder when (85/3)/(1/3) is divided by u. 19 Let w(f) = f**3 + 17*f**2 + 29. Suppose -3*g + 5*g = -3*c - 46, 2*g = -4*c - 50. What is the remainder when 112 is divided by w(g)? 25 Let c(t) = -t**3 - 15*t**2 - 3*t - 7. Let d be c(-6). Let m = -212 - d. Calculate the remainder when m is divided by 21. 17 Let j be (-6)/(-8) + 2555/28. Suppose 2*q + 0*q = j. Suppose -z + 197 = 5*x + 86, -3*x - 4*z = -87. What is the remainder when q is divided by x? 4 Suppose 228*h + 13608 = 300*h. Calculate the remainder when 245 is divided by h. 56 Suppose 4*l - 4 + 36 = 0, -2*y - 5*l + 21006 = 0. Calculate the remainder when y is divided by 6. 5 Suppose 0 = 7*r + 5*q - 327, 0*q - 18 = 3*q. What is the remainder when 156 is divided by r? 3 Suppose -5*v - q + 1604 = 0, 3*q + 308 = 185*v - 184*v. What is the remainder when v is divided by 266? 54 Let c = -623 + 701. Suppose 3*h - 83 = -290. Let n = h + c. Calculate the remainder when n is divided by 4. 1 Suppose -4*n = -2*n - 4744. What is the remainder when n is divided by 24? 20 Let c(h) = -3*h**3 - 68*h**2 + 26*h + 136. Calculate the remainder when c(-23) is divided by 14. 11 Let z(j) = 7*j**2 + 19*j + 21. Let k(c) = 6*c**2 + 18*c + 20. Let n(a) = 6*k(a) - 5*z(a). Calculate the remainder when 32 is divided by n(-13). 2 Let u = 19 + -5. Let v(r) = 5*r**2 - 3*r + 12. Let i(o) = -10*o**2 + 6*o - 24. Let x(q) = -4*i(q) - 7*v(q). What is the remainder when x(-3) is divided by u? 10 Let u be (-5109)/(-13) - -1*3. Suppose -4*g + u = -g. Suppose -g = -3*v + 27. What is the remainder when v is divided by 14? 11 Suppose 0*a = 2*s - 2*a - 86, 0 = -5*s + 2*a + 212. Suppose 5*v - 401 = 2*o - 4*o, 2*v - 164 = o. What is the remainder when v is divided by s? 39 Suppose 3*p - p - 8 = 0. Suppose -8*b + p*b = 680. Let a = 285 + b. Calculate the remainder when a is divided by 58. 57 Let d(l) = l**3 - 6*l**2 + 5*l - 4. Let t be d(5). Let a(s) = -s**2 + 4. Let f be a(t). Calculate the remainder when f/32*-6*4*6 is divided by 14. 12 Suppose -4*c = x + 23 - 5, 3*c + 19 = 2*x. Suppose 2*k - 24 = 6*k. Calculate the remainder when (1 + x)*(1078/k)/(-7) is divided by 26. 25 Suppose 57*q - 56*q - 1238 = 0. Calculate the remainder when q is divided by 31. 29 Let l = -111 + 156. Let j(w) = -4*w + 32. Let f be j(7). Suppose -f*a + 65 = -2*i + 7, -3*a - 4*i = -71. What is the remainder when l is divided by a? 11 Let i = -30 + 39. Let c = i - 1. Suppose -2*u + 28 + c = 0. Calculate the remainder when u is divided by 7. 4 Suppose -39*l = -47*l + 8, -5*c = l - 1161. What is the remainder when 280 is divided by c? 48 Let x(a) = -3*a + 55. Let n = 401 + -274. Calculate the remainder when n is divided by x(14). 10 Suppose 5*w - x - 1261 = 0, 45 = x + 41. What is the remainder when w is divided by 32? 29 Let p(l) = -7*l + 6. Let c(a) = -a**3 + 11*a**2 - 2. Let s be c(11). Let u be p(s). Suppose -17*h = -16*h - u. Calculate the remainder when 58 is divided by h. 18 Suppose 31*q - 10*q - 90216 = 0. Suppose 18*z - 30*z = -q. What is the remainder when z is divided by 91? 85 Suppose -w = 0, 5*w + 12 = 2*q + 3*w. What is the remainder when 357 is divided by 20*(6/(-4))/(q/(-8))? 37 Let h(j) = 204*j**2 + 1630*j + 14. Calculate the remainder when 418 is divided by h(-8). 28 What is the remainder when 25 is divided by -2 - ((-90)/(-9) + -25)? 12 Let s = -2607 + 2761. What is the remainder when 713 is divided by s? 97 Suppose 2004 = 32*n - 28*n. Let s = 519 - n. What is the remainder when s is divided by 4? 2 Suppose -101*p = -96*p + 3795. Let c = p - -799. Calculate the remainder when c is divided by 32. 8 Suppose -17600 = -20*s - 0*s. What is the remainder when s is divided by ((-18)/(-12) - 1)*126? 61 Let f(t) = 3*t**3 + 37*t**2 + 3*t - 59. Calculate the remainder when 3477 is divided by f(-12). 47 Suppose 5*t - 3*n = 20, 2*n + 11 = 2*t + 3. What is the remainder when 110 is divided by 2*18 + t + -2? 34 Suppose 251 = 6*r + 77. Suppose -261 = -3*x + 3*v + 144, 2*v = -6. Let m = 276 - x. What is the remainder when m is divided by r? 28 Suppose 2*i - 75 = -b, -2*b - 6*i + 7*i + 145 = 0. What is the remainder when 4231 is divided by b? 70 Suppose 5*j - 485 = -5*c, -99*j + 283 = -96*j - c. Calculate the remainder when 278 is divided by j. 88 Let w = -1028 + 1031. What is the remainder when 67 is divided by w? 1 Calculate the remainder when (-113)/((-5)/20*4) is divided by 90. 23 Let v(f) = f**2. Let h(q) = 7*q**2 - 8*q - 1. Let g(r) = -h(r) + 6*v(r). Let z = 922 - 915. Calculate the remainder when 15 is divided by g(z). 7 Suppose -y - 4*d = -83, 0 = 12*y - 18*y - 4*d + 458. Calculate the remainder when 2173 is divided by y. 73 What is the remainder when 2/8 + 939/4 is divided by ((-290)/55 - -4)*(177 + -188)? 11 Suppose -121 = -13*p + 399. Suppose 0 = s + 4*y - p, 2*s + y = 64 + 30. Calculate the remainder when 137 is divided by s. 41 Calculate the remainder when 1750 is divided by (9 + -8)*-10 - (-108)/4. 16 Let j = 954 - 916. What is the remainder when 21545 is divided by j? 37 Let q(r) be the second derivative of r**4/12 - 8*r**3/3 + r**2/2 + 147*r. What is the remainder when 99 is divided by q(18)? 25 Let a = -44 - 37. Let p = a + 84. Suppose 0 = -22*g + p*g + 1786. What is the remainder when g is divided by 16? 14 Let d = -1432 + 12454. Calculate the remainder when d is divided by 13. 11 Suppose -2*j + 104 = 2*j. Let u(a) = -a**3 + 4 - 298969*a + 298969*a + 6*a**2. What is the remainder when j is divided by u(6)? 2 Let d = -3183 - -8756. Calculate the remainder when d is divided by 136. 133 Suppose 3*v + 2*v + 767 = -3*f, -3*f + 743 = -5*v. Let g = 199 + v. What is the remainder when 239 is divided by g? 47 Let g = 133 + -139. What is the remainder when 98 is divided by (g/(-10))/(3/765*3)? 47 Let k(a) = -a**3 - 4*a**2 - 5*a - 1. Let d be k(-4). Suppose d*l - 46 - 68 = 0. Calculate the remainder when 36 is divided by l. 0 Suppose -75 = -j + 121 - 20. What is the remainder when j is divided by 15? 11 Let h = -14538 + 21571. What is the remainder when h is divided by 227? 223 Let x = -1847 - -1856. Calculate the remainder when x is divided by -2 + (0 - (-6)/2). 0 Suppose -18*p = 22*p - 881 - 1359. What is the remainder when 556 is divided by p? 52 Let k(z) = z**3 + 5*z**2 - z + 3. Suppose -11532 = -246*w - 126*w. What is the remainder when w is divided by k(-5)? 7 Let j = -2646 + 2644. Suppose 2*d + o + 11 = 0, 2 + 1 = -o. Calculate the remainder when 39 is divided by (-159)/(-7) + j + d/(-14). 18 Let w = 1946 + -86. What is the remainder when w is divided by 49? 47 Let a be 164 - (3 - (3 + 4)). Suppose 0 = -10*z + 14*z - 16. Suppose z*s = s + a. What is the remainder when s is divided by 15? 11 Calculate the remainder when (-1*(2 + 0))/(48/(-47928)) is divided by 23. 19 Suppose 84*a - 85*a = -221. Suppose -74 + a = 7*k. Suppose -5*o - 24 + 69 = b, -5*b + 267 = 4*o. Calculate the remainder when b is divided by k. 13 Suppose 4*s - j - 110 = 0, -9*s + 12*s = 3*j + 78. What is the remainder when 5093 is divided by s? 25 Suppose -o - 184 = -5*o. What is the remainder when 5 - 2 - 6/(-7)*(-102 - -165) is divided by o? 11 Let f = 236 + -124. Suppose 2*n = 5*t + 7*n - 155, 4*t - 2*n = f. Calculate the remainder when t is divided by 6. 5 Suppose -2*y - 56 = -10*y. Suppose y*n = 60 + 87. Let m(z) = -2*z - 2. What is the remainder when n is divided by m(-7)? 9 Let m(g) be the third derivative of -29*g**4/24 + 41*g**3/3 - 45*g**2 + 1. Calculate the remainder when m(0) is divided by 12. 10 Suppose 4*p + 4*x - 6*x = 152, 2*p = -2*x + 64. Suppose 0 = -35*o + p*o - 24. Let j = 127 + -82. Calculate the remainder when j is divided by o. 21 Let j(t) = 10*t - 29. Let d(v) = -v**3 + 6*v**2 - v - 3. Let f be d(2). Suppose f*b - 16*b = -45. What is the remainder when j(b) is divided by 22? 17 Suppose 96*v + 48 = 4*f + 93*v, 5*f - 49 = v. What is the remainder when 780 is divided by f? 6 Suppose 0 = 7*g + 75*h - 77*h - 111, 4*h + 57 = 3*g. Calculate the remainder when 37587 is divided by g. 12
Factor -g**4/2 - 301*g**3/2 - 1191*g**2/2 - 891*g/2. -g*(g + 1)*(g + 3)*(g + 297)/2 Find a such that a**3/2 + 117*a**2/4 + 297*a + 837 = 0. -93/2, -6 Factor -i**2 - 12135*i + 60700. -(i - 5)*(i + 12140) Find i such that -5*i**5 - 875*i**4 + 6490*i**3 + 189670*i**2 - 395285*i + 200005 = 0. -181, -13, 1, 17 Suppose -g**3/3 + 53*g**2/2 - 2857*g/6 + 1199 = 0. What is g? 3, 22, 109/2 Solve -7*b**5 + 2419*b**4 - 13322*b**3 + 21104*b**2 - 8160*b = 0. 0, 4/7, 2, 3, 340 Suppose -14*o**5 - 5092*o**4 + 11690*o**3 - 8048*o**2 + 1464*o = 0. What is o? -366, 0, 2/7, 1 Find t such that 3*t**4/4 - 31*t**3 + 155*t**2/4 + 101*t/2 - 20 = 0. -1, 1/3, 2, 40 Factor -2*a**2/5 - 1457364*a/5 - 265488728562/5. -2*(a + 364341)**2/5 Find m, given that -54*m**4 - 1557*m**3/2 - 2085*m**2 - 1221*m/2 = 0. -11, -37/12, -1/3, 0 Let v**5/2 - v**4 - 15*v**3 - 20*v**2 + 29*v/2 + 21 = 0. What is v? -3, -2, -1, 1, 7 Find u such that u**4/4 - 20149*u**3/2 = 0. 0, 40298 Solve -2*a**4/11 - 174*a**3/11 - 3510*a**2/11 + 12150*a/11 = 0 for a. -45, 0, 3 Factor h**3 + 1951*h**2 - 3906*h. h*(h - 2)*(h + 1953) Determine x so that -4*x**2/5 + 3608*x/5 + 518112/5 = 0. -126, 1028 Find a, given that 4*a**2 - 230008*a - 460032 = 0. -2, 57504 Determine p, given that -4*p**4 - 1748*p**3 - 13428*p**2 + 128196*p - 216216 = 0. -429, -14, 3 Determine w so that 17*w**4/3 - 847*w**3/3 - 935*w**2 - 3001*w/3 - 1060/3 = 0. -20/17, -1, 53 Suppose -69*h**5 + 1114*h**4 - 2161*h**3 + 1256*h**2 - 140*h = 0. What is h? 0, 10/69, 1, 14 Solve -2*h**5/13 - 308*h**4/13 - 1208*h**3/13 - 1200*h**2/13 = 0 for h. -150, -2, 0 Factor -4*m**2 - 447248*m + 894512. -4*(m - 2)*(m + 111814) Find x such that 1274*x**2/9 + 4*x/9 = 0. -2/637, 0 Find y such that y**5/3 + 8*y**4 + 89*y**3/3 - 506*y**2/3 + 36*y + 680/3 = 0. -17, -10, -1, 2 Determine i, given that i**5/4 + 21*i**4/2 - 385*i**3/4 + 379*i**2/2 + 96*i - 200 = 0. -50, -1, 1, 4 Determine h so that -15*h**4 - 39471*h**3 - 25954152*h**2 + 15586704*h = 0. -1316, 0, 3/5 Determine y so that -2*y**3 + 1784*y**2 + 18022*y + 16236 = 0. -9, -1, 902 Factor 4*f**5 - 136*f**4 + 1308*f**3 - 4904*f**2 + 7952*f - 4704. 4*(f - 21)*(f - 7)*(f - 2)**3 Let -2*y**3/5 - 48*y**2/5 + 544*y - 9984/5 = 0. What is y? -52, 4, 24 Determine v, given that 4*v**3 + 308*v**2 - 100*v - 7700 = 0. -77, -5, 5 Factor 2*d**5/13 - 14*d**4 + 1044*d**3/13 - 2056*d**2/13 + 1360*d/13. 2*d*(d - 85)*(d - 2)**3/13 Suppose -y**5/2 + 57*y**4/2 - 245*y**3/2 - 785*y**2/2 + 123*y + 364 = 0. What is y? -2, -1, 1, 7, 52 Solve 12*k**5 - 765*k**4 - 2604*k**3 - 651*k**2 + 3204*k + 804 = 0 for k. -2, -1/4, 1, 67 Let -f**5 - 1293*f**4 - 574121*f**3 - 94311639*f**2 - 2999585250*f + 6381030744 = 0. Calculate f. -417, -44, 2 Determine y, given that -y**3/11 + 761969*y**2/11 - 13195346205*y - 13195415475 = 0. -1, 380985 Factor t**2/5 - 7932*t/5 - 4761. (t - 7935)*(t + 3)/5 Determine d so that 2*d**4/9 + 183352*d**3/9 + 4202427836*d**2/9 + 933811736*d + 466895682 = 0. -45837, -1 Let p**4 - 122*p**3 - 4155*p**2 - 33628*p - 29596 = 0. Calculate p. -14, -1, 151 Factor -5*n**3 - 28845*n**2 + 5*n + 28845. -5*(n - 1)*(n + 1)*(n + 5769) Factor 3*c**3/4 - 15*c**2 - 324423*c/4. 3*c*(c - 339)*(c + 319)/4 Factor -n**3 + 14*n**2 + 559*n + 544. -(n - 32)*(n + 1)*(n + 17) What is j in j**4/2 - 371*j**3/2 + 2563*j**2/2 - 5469*j/2 + 1638 = 0? 1, 3, 364 Suppose i**3/3 - 263*i**2/3 - 1462*i + 20016 = 0. Calculate i. -24, 9, 278 Determine v, given that -3*v**2 - 9129*v - 9126 = 0. -3042, -1 Factor -319*h**2 - 7966*h + 225. -(h + 25)*(319*h - 9) Determine h, given that 2*h**3 - 31658*h**2 - 95012*h + 316640 = 0. -5, 2, 15832 Suppose -2*f**5/3 + 11286*f**4 - 143210846*f**3/3 - 238921806*f**2 - 573520712*f/3 = 0. What is f? -4, -1, 0, 8467 Factor 2*t**3 - 497*t**2/3 + 409*t/3 + 82/3. (t - 82)*(t - 1)*(6*t + 1)/3 Factor -3*f**3 - 156999*f**2 + 785088*f + 942084. -3*(f - 6)*(f + 1)*(f + 52338) Let 4*g**2 - 282028*g = 0. Calculate g. 0, 70507 Solve 3*d**4 + 507*d**3 + 2472*d**2 + 1968*d = 0 for d. -164, -4, -1, 0 Factor 4*z**2 - 30224*z - 30228. 4*(z - 7557)*(z + 1) Factor p**3/2 + 179*p**2 + 4008*p. p*(p + 24)*(p + 334)/2 Factor -5*r**2 + 2123215*r + 2123220. -5*(r - 424644)*(r + 1) Let -2*h**5/9 + 94*h**4/3 - 1376*h**3/9 + 728*h**2/3 - 1088*h/9 = 0. What is h? 0, 1, 2, 136 Solve -5*y**5 + 210*y**4 + 500*y**3 - 2550*y**2 - 4095*y + 5940 = 0. -3, 1, 3, 44 Find b such that 2*b**2/19 + 32692*b/19 + 133595858/19 = 0. -8173 Determine n so that -2*n**3/5 + 30558*n**2 - 2918174406*n/5 + 2918021618/5 = 0. 1, 38197 Let -18*h**3/7 - 340366*h**2/7 - 415980*h/7 - 75632/7 = 0. What is h? -18908, -1, -2/9 Solve 444*k**4 + 844*k**3 - 2016*k**2 - 5296*k - 2880 = 0 for k. -2, -4/3, -1, 90/37 Suppose -5*d**5 + 325*d**4 - 4210*d**3 - 1300*d**2 + 16920*d = 0. Calculate d. -2, 0, 2, 18, 47 Suppose 2*o**4/5 + 304*o**3/5 + 12236*o**2/5 + 30672*o + 141426/5 = 0. What is o? -97, -27, -1 Factor -5*n**4 + 440*n**3 - 425*n**2 - 870*n. -5*n*(n - 87)*(n - 2)*(n + 1) Determine z, given that -5*z**4 - 1715*z**3 - 23025*z**2 + 1715*z + 23030 = 0. -329, -14, -1, 1 Suppose j**5 - 80*j**4 + 227*j**3 + 308*j**2 = 0. Calculate j. -1, 0, 4, 77 Factor 2*w**2 - 353*w/3 + 4862/3. (w - 22)*(6*w - 221)/3 Determine t, given that 2*t**5/15 - 86*t**4/5 - 3004*t**3 + 1167040*t**2/3 + 392000*t = 0. -150, -1, 0, 140 Factor 2*h**2/5 + 440552*h/5. 2*h*(h + 220276)/5 Factor -26*i**2 - 202*i - 140. -2*(i + 7)*(13*i + 10) What is c in 3*c**3 - 195*c**2 + 2877*c + 3075 = 0? -1, 25, 41 Determine z so that 3*z**4/5 - 102*z**3 + 21471*z**2/5 - 293124*z/5 + 139932 = 0. 3, 26, 115 Factor -4*f**2 + 2509928*f - 393733660324. -4*(f - 313741)**2 Factor 5*w**2 + 24455*w + 341390. 5*(w + 14)*(w + 4877) Suppose -26*t**4/17 + 724*t**3/17 + 9368*t**2/17 + 25136*t/17 + 3648/17 = 0. What is t? -6, -4, -2/13, 38 Solve -4*k**5 + 2092*k**4 + 564108*k**3 + 32140532*k**2 + 62041432*k = 0 for k. -103, -2, 0, 731 Suppose -3*k**2/2 - 1459551*k - 710096373867/2 = 0. What is k? -486517 Determine r, given that -2*r**2/7 + 14*r + 424/7 = 0. -4, 53 Suppose -72*c**5 - 274*c**4 - 109*c**3/3 + 1238*c**2/3 - 25*c/3 - 22 = 0. What is c? -3, -11/6, -2/9, 1/4, 1 Find r such that -2*r**3/7 - 8342*r**2/7 - 91520*r/7 = 0. -4160, -11, 0 Let -6*b**5 - 4923*b**4 - 88815*b**3 + 166524*b**2 + 408420*b - 481200 = 0. Calculate b. -802, -20, -2, 1, 5/2 Let 2*o**5/17 - 24*o**4/17 + 98*o**3/17 - 156*o**2/17 + 80*o/17 = 0. What is o? 0, 1, 2, 4, 5 Factor p**2 - 496*p - 83657. (p - 629)*(p + 133) Factor -5*g**3 - 75*g**2 + 1040*g - 960. -5*(g - 8)*(g - 1)*(g + 24) Solve -2*f**2/3 + 664196*f/3 - 221398 = 0. 1, 332097 Factor 3*x**3 + 414*x**2 + 1593*x - 2010. 3*(x - 1)*(x + 5)*(x + 134) Find q, given that q**3/2 + 1117*q**2/2 + 558*q = 0. -1116, -1, 0 Determine j, given that -2*j**5 - 28*j**4 - 18*j**3 + 112*j**2 + 104*j = 0. -13, -2, -1, 0, 2 Find w, given that -267444257731077144*w**4 + 267442461686169588*w**3 + 1796040887058*w**2 + 4020495*w + 3 = 0. -1/446722, 1 Suppose 2*s**2 - 14438*s - 159060 = 0. Calculate s. -11, 7230 Factor 2*q**4 + 300*q**3 + 1464*q**2 + 2036*q + 870. 2*(q + 1)**2*(q + 3)*(q + 145) Determine s, given that -4*s**3 - 7960*s**2 - 31756*s + 39720 = 0. -1986, -5, 1 Determine k so that 2*k**5/5 + 154*k**4/5 + 520*k**3 - 12312*k**2/5 + 2592*k = 0. -45, -36, 0, 2 Solve 8*y**2 + 290302*y - 72576 = 0. -36288, 1/4 Solve -x**4 - 95*x**3 - 2345*x**2 - 4045*x + 6486 = 0. -47, -46, -3, 1 Solve 9*g**3 - 20280*g**2 - 33849*g + 54120 = 0 for g. -8/3, 1, 2255 Suppose -b**2/3 + 14657*b/3 - 29302 = 0. What is b? 6, 14651 Determine c so that -4*c**2 + 3860*c + 66776 = 0. -17, 982 Suppose w**5 + 306*w**4 + 23085*w**3 - 52016*w**2 - 344652*w + 853776 = 0. What is w? -154, -4, 3 Factor -v**2/2 + 15244*v - 91455/2. -(v - 30485)*(v - 3)/2 Factor -5*o**3 + 90*o**2 + 2420*o + 10200. -5*(o - 34)*(o + 6)*(o + 10) Suppose 2*a**5/9 + 56*a**4/9 + 128*a**3/3 + 32*a**2 - 288*a = 0. What is a? -18, -6, 0, 2 Factor c**2/4 + 10237*c - 40949/4. (c - 1)*(c + 40949)/4 Factor 2*i**2/3 - 98*i/3 - 180. 2*(i - 54)*(i + 5)/3 Solve -4*x**3 + 416*x**2 + 2180*x = 0 for x. -5, 0, 109 Let 5*c**3 + 806965*c**2 + 32560029040*c + 32559222080 = 0. What is c? -80696, -1 Solve -3*t**2 - 8865*t + 124698 = 0. -2969, 14 Solve 2*i**2/15 - 26362*i/15 + 5272/3 = 0 for i. 1, 13180 Find z such that z**3 - 69*z**2 - 25*z + 1725 = 0. -5, 5, 69 Let -4*g**3 - 1660*g**2 - 173752*g - 340896 = 0. What is g? -212, -201, -2 Factor t**3/9 + 23*t**2/9 - 118*t/3 - 88. (t - 12)*(t + 2)*(t + 33)/9 Factor 2*u**5 - 20*u**4 + 54*u**3 - 36*u**2. 2*u**2*(u - 6)*(u - 3)*(u - 1)
How many centimeters are there in three sixteenths of a kilometer? 18750 Convert 60234.75 centuries to millennia. 6023.475 What is 221790.6 decades in years? 2217906 What is 7/4 of a milligram in micrograms? 1750 What is 1/10 of a litre in millilitres? 100 What is 1176.9384 months in centuries? 0.980782 How many millilitres are there in 51/4 of a litre? 12750 How many kilometers are there in 9.485924 nanometers? 0.000000000009485924 What is 11/4 of a milligram in micrograms? 2750 Convert 1197.725 micrograms to grams. 0.001197725 Convert 9738.316 millilitres to litres. 9.738316 What is 1/10 of a day in minutes? 144 Convert 9145.74ml to litres. 9.14574 How many milliseconds are there in three fifths of a minute? 36000 Convert 3.0865 millilitres to litres. 0.0030865 How many milligrams are there in 11/2 of a gram? 5500 How many years are there in three fifths of a millennium? 600 What is 7/4 of a gram in milligrams? 1750 How many litres are there in 695160.9ml? 695.1609 What is 44.70063m in kilometers? 0.04470063 How many seconds are there in thirty-four fifths of a minute? 408 Convert 29.146464 nanoseconds to minutes. 0.0000000004857744 What is twenty-one halves of a microgram in nanograms? 10500 What is 2681.68914 seconds in days? 0.03103806875 How many milliseconds are there in seventy-five halves of a second? 37500 How many micrometers are there in 29/5 of a centimeter? 58000 How many months are there in eleven tenths of a millennium? 13200 How many nanograms are there in 0.793271 milligrams? 793271 What is 686437.3ml in litres? 686.4373 How many micrometers are there in 17/10 of a centimeter? 17000 How many decades are there in fourty-two fifths of a century? 84 How many meters are there in 183.1929um? 0.0001831929 Convert 4786.025l to millilitres. 4786025 How many microseconds are there in one quarter of a millisecond? 250 What is 3.939135 months in millennia? 0.00032826125 How many micrometers are there in 0.9012674 kilometers? 901267400 What is 58.6818 hours in nanoseconds? 211254480000000 What is thirteen fifths of a minute in seconds? 156 What is 271.01562ms in minutes? 0.004516927 What is eleven quarters of a hour in seconds? 9900 What is twenty-nine fifths of a litre in millilitres? 5800 How many kilograms are there in 8/25 of a tonne? 320 How many milligrams are there in 3/10 of a gram? 300 What is 69.45313l in millilitres? 69453.13 Convert 9.883109 minutes to microseconds. 592986540 How many millimeters are there in one sixteenth of a kilometer? 62500 How many millimeters are there in 45/2 of a centimeter? 225 What is thirty-four fifths of a meter in millimeters? 6800 What is 7/4 of a litre in millilitres? 1750 How many millilitres are there in fourty-seven quarters of a litre? 11750 Convert 25640.52 micrometers to centimeters. 2.564052 What is 3/10 of a micrometer in nanometers? 300 Convert 2601.957 kilometers to millimeters. 2601957000 How many micrograms are there in 837360.2g? 837360200000 What is one sixteenth of a kilometer in centimeters? 6250 What is 61.06602 years in millennia? 0.06106602 How many decades are there in one quarter of a millennium? 25 What is ten thirds of a millennium in months? 40000 Convert 599696.3l to millilitres. 599696300 What is one tenth of a kilogram in grams? 100 What is 73/4 of a kilometer in meters? 18250 How many litres are there in 447.6345ml? 0.4476345 How many millilitres are there in 32/5 of a litre? 6400 What is 1/5 of a day in seconds? 17280 What is 5/6 of a week in hours? 140 What is twenty-six fifths of a milligram in micrograms? 5200 How many millilitres are there in 3/25 of a litre? 120 What is twenty-six fifths of a centimeter in millimeters? 52 What is eleven tenths of a litre in millilitres? 1100 How many milligrams are there in 4.009947ug? 0.004009947 What is 3/25 of a litre in millilitres? 120 How many millilitres are there in six fifths of a litre? 1200 What is 5.295435km in meters? 5295.435 How many centimeters are there in 6595.368 nanometers? 0.0006595368 How many seconds are there in 425.794 weeks? 257520211.2 How many hours are there in 21/8 of a day? 63 What is twelve sevenths of a week in days? 12 What is 3/10 of a kilometer in centimeters? 30000 Convert 14.391663 minutes to hours. 0.23986105 What is 3/5 of a millimeter in micrometers? 600 Convert 417827.5 millimeters to micrometers. 417827500 What is 96060.4 millennia in centuries? 960604 Convert 2400.063 milligrams to tonnes. 0.000002400063 How many centuries are there in 2.233431 decades? 0.2233431 What is 0.3036141 nanoseconds in microseconds? 0.0003036141 How many milligrams are there in 90.21765ng? 0.00009021765 How many centimeters are there in 1.000185 nanometers? 0.0000001000185 What is 1/4 of a litre in millilitres? 250 What is 5/8 of a meter in millimeters? 625 How many microseconds are there in 1/4 of a millisecond? 250 How many millilitres are there in 1/4 of a litre? 250 What is fifty-seven fifths of a milligram in micrograms? 11400 How many years are there in twenty-one halves of a decade? 105 How many micrometers are there in twenty-one quarters of a millimeter? 5250 How many millilitres are there in 901967.4l? 901967400 How many millimeters are there in six fifths of a centimeter? 12 What is five quarters of a milligram in micrograms? 1250 Convert 0.2055447l to millilitres. 205.5447 What is one sixth of a millennium in months? 2000 What is 3/40 of a day in seconds? 6480 How many kilograms are there in 3.468362mg? 0.000003468362 How many millilitres are there in 3.541631l? 3541.631 How many millilitres are there in 29/2 of a litre? 14500 How many millilitres are there in one quarter of a litre? 250 Convert 611.9859 millennia to months. 7343830.8 How many litres are there in 453309.7ml? 453.3097 How many months are there in thirty-seven halves of a century? 22200 What is 822.229 litres in millilitres? 822229 Convert 5099594.22 seconds to weeks. 8.43186875 How many weeks are there in 1367.85915us? 0.000000002261671875 Convert 621592.6um to kilometers. 0.0006215926 What is 5.0305 hours in seconds? 18109.8 What is eleven halves of a minute in seconds? 330 What is twenty-one fifths of a meter in millimeters? 4200 What is 6509.3 kilograms in micrograms? 6509300000000 How many centimeters are there in 0.0334007 micrometers? 0.00000334007 How many milligrams are there in 1/16 of a kilogram? 62500 What is one quarter of a milligram in micrograms? 250 How many micrograms are there in fifty-three quarters of a milligram? 13250 What is 1396.1181 seconds in minutes? 23.268635 What is 79.02117 micrometers in nanometers? 79021.17 What is three fifths of a litre in millilitres? 600 What is 1/6 of a week in minutes? 1680 What is 95351.26 millilitres in litres? 95.35126 What is one fifteenth of a hour in seconds? 240 How many micrograms are there in 8598.123 tonnes? 8598123000000000 What is 12/7 of a week in hours? 288 Convert 640461.1km to centimeters. 64046110000 What is seven halves of a milligram in micrograms? 3500 What is 834150.9us in nanoseconds? 834150900 What is 7354.4l in millilitres? 7354400 Convert 6.5214 micrograms to grams. 0.0000065214 How many years are there in nine tenths of a century? 90 Convert 170.9946ug to milligrams. 0.1709946 How many milliseconds are there in 6/5 of a minute? 72000 How many grams are there in twenty-one fifths of a kilogram? 4200 What is one fifth of a litre in millilitres? 200 What is 572952.6kg in micrograms? 572952600000000 How many grams are there in 13/4 of a kilogram? 3250 How many weeks are there in 4062.2568 days? 580.3224 What is 0.8871392mm in kilometers? 0.0000008871392 How many kilograms are there in 6/25 of a tonne? 240 What is 98/5 of a century in decades? 196 Convert 1831.804mm to nanometers. 1831804000 What is three tenths of a microgram in nanograms? 300 What is five quarters of a litre in millilitres? 1250 How many centimeters are there in 1274.525 micrometers? 0.1274525 Convert 611685.2 grams to kilograms. 611.6852 Convert 0.3386379ml to litres. 0.0003386379 What is three fifths of a litre in millilitres? 600 How many kilograms are there in 978.1446g? 0.9781446 How many millilitres are there in 74/5 of a litre? 14800 Convert 5.277782 meters to centimeters. 527.7782 Convert 553.05135 nanoseconds to hours. 0.000000000153625375 How many kilograms are there in 2672.851 tonnes? 2672851 What is one fifth of a decade in years? 2 How many decades are there in 10.489542 months? 0.08741285 What is 15/4 of a millennium in years? 3750 How many millilitres are there in three fifths of a litre? 600
Suppose -13*t - 72 = -15*t. Suppose 3*a + 27 - t = 0. Suppose -3*j + 5*r + 12 + 2 = 0, a*j = 3*r + 18. List the prime factors of j. 2 Suppose -2*i - 3*q - 23 = -29, 4*q - 15 = -5*i. Suppose -j + 3*o + 628 = -139, i*j + 5*o = 2231. List the prime factors of j. 2, 47 Let n(s) = -19*s + 27. Suppose 2*g = 3*f - 5 - 16, -2*f = 4*g + 34. What are the prime factors of n(g)? 2, 3, 11 Let r(a) = 111*a**2 - 58*a - 931. List the prime factors of r(-13). 2, 3, 19, 163 Let w = -1762 + 8994. List the prime factors of w. 2, 113 Let u be 37*6/(-30) - 2/(-5). Let q be (0 + u)/((-244)/124 - -2). Let j = q - -310. List the prime factors of j. 3, 31 Let j be (55 - 1)*(-1)/(-6)*56. Suppose -64*w = -68*w + j. What are the prime factors of w? 2, 3, 7 Let x be (-6)/(6 + -2 - 6). Let j(p) = 51*p + 12. Let l be j(x). Suppose 10*g - l = 5*g. List the prime factors of g. 3, 11 Let o(h) = 13645*h - 137. What are the prime factors of o(2)? 3, 7, 431 Let d = -437 - -449. Suppose 1431 = d*n - 4161. What are the prime factors of n? 2, 233 Suppose 46 = 4*b - 138. Suppose -f - b = -212. List the prime factors of f. 2, 83 Let v(l) = 18*l - 16. Let p be v(10). Let u(f) = -f**3 + 20*f**2 + 18*f - 13. Let h be u(21). Let d = p + h. What are the prime factors of d? 2, 11 Let n(w) = 19*w**2 - 5*w + 2. Let h be n(-4). Let q = h + -130. List the prime factors of q. 2, 7 Let g(o) = 12*o**2 + 120*o + 293. List the prime factors of g(-33). 7, 17, 79 Let k = -10 - -18. Suppose -135 = -v + k. Suppose -2*m + v = 7. List the prime factors of m. 2, 17 Let a be -1*(-340 + (2 - 0)). Let b = 503 - a. List the prime factors of b. 3, 5, 11 Suppose a = 303*x - 299*x + 9090, 4*a - 4*x = 36408. List the prime factors of a. 2, 29, 157 What are the prime factors of (-8)/(144/101835)*(-30)/25? 3, 31, 73 Suppose o = -2*y + 106, 4*o + 5*y - 43 = 396. Suppose -5*t + o = x - 6127, 5*x = 4*t - 4977. What are the prime factors of t? 2, 3, 13 Let n = -69 + 73. Suppose 7*w = -n*w + 5225. What are the prime factors of w? 5, 19 Let y be -1 - -3 - 88/(-11). Let u(h) be the second derivative of h**4/12 + h**3/6 + 9*h**2/2 - 7*h. What are the prime factors of u(y)? 7, 17 Suppose -10 = 5*k + 5. Let z(b) = 12*b**3 + 7*b**2 - 6*b + 3. Let h be z(2). Let t = h - k. List the prime factors of t. 2, 59 Suppose -7495 = 16*d + 4889. List the prime factors of ((-5)/(-15))/((-2)/d). 3, 43 Suppose -299*i + 301*i - 104 = 0. Suppose -3848 = -60*j + i*j. What are the prime factors of j? 13, 37 Suppose 0 = 155*m - 162*m + 5166. List the prime factors of m. 2, 3, 41 Suppose -17*c = -15*c + 8, 79 = -5*h - c. List the prime factors of (h - -17)*(-7)/(-8)*292. 7, 73 Let z = -735 - -408. Suppose -3*x = -2*x + 192. Let y = x - z. What are the prime factors of y? 3, 5 Suppose 2*c - 4*g + 416 = 0, -7*g = -2*c - 2*g - 411. Let d = 297 + c. What are the prime factors of d? 79 Let h(y) = -y**3 + 40*y**2 + 98*y - 194. List the prime factors of h(39). 19, 271 Suppose 3*f = 4*o - 171, 2*o + 2*o + 3*f = 165. Let r = 902 - 896. List the prime factors of ((-1)/((-14)/12))/(r/o). 2, 3 Suppose -3*r + 9007 = -p, -12012 = -4*r + 3*p + p. Suppose 4*w + 642 = r. What are the prime factors of w? 2, 5, 59 Let i(t) = 67 - 3*t**3 - 11*t**2 + 16*t - 50 - 13*t**2. List the prime factors of i(-11). 2, 3, 5, 31 Let b be (-1)/((-2)/(1 + 954/2)). Let j = b - 150. List the prime factors of j. 89 Let k be ((-12)/(-14))/(5856/(-1953) + 3). What are the prime factors of (k + 2)/5 - 4 - 0? 2, 3 Suppose 0 = 2*h - 2*k, 2*h + 3*k - 15 = -0. Suppose 5*n - 1250 = -3*v, -3*v - h*n = 309 - 1569. What are the prime factors of v? 5, 17 Let o = 10 - 6. Suppose 7*s = 9*s - o. Suppose -s*y + 10 = -3*p + 239, -3*p + 3*y = -234. List the prime factors of p. 73 Let r(f) = 754*f + 325. List the prime factors of r(10). 5, 11, 13 Let t = 37468 + -8892. What are the prime factors of t? 2, 19, 47 Let z be (-13)/((-39)/(-18)) + 5. What are the prime factors of (-11)/(((-3)/(-141))/z)? 11, 47 Let s(b) = b**2 - 18*b - 16. Suppose y - 1 = -8. Let z(m) = -9*m - 8. Let v(h) = y*z(h) + 3*s(h). What are the prime factors of v(-6)? 2, 31 What are the prime factors of (-1)/9 + (14 - (-465703)/63)? 2, 7, 23 Let d(n) = -n**3 + 19*n**2 - 25*n - 9. Let z be d(18). Let l be (z/4)/(-9) + 2/8. List the prime factors of (-1)/((l/1)/(-496)). 2, 31 Suppose 1651650 = 52*n + 444991 - 551409. What are the prime factors of n? 33809 Let l(b) = -27*b**2 + 138*b + 57. Let r(o) = -12*o**2 + 69*o + 28. Let c(p) = 3*l(p) - 7*r(p). What are the prime factors of c(33)? 5, 193 Let l(s) = s**3 - 8*s**2 + 40*s + 161. List the prime factors of l(22). 7817 Let a = -189 - -123. Let t = a - -69. Suppose 0 = 3*n - t*c - 207, -n - 3*c = 2*n - 189. List the prime factors of n. 2, 3, 11 Suppose 43*f - 540380 = -86797 + 1575974. What are the prime factors of f? 3, 15733 Suppose 0*a - 292 = -4*a. Let f = a + -199. Let h = -70 - f. List the prime factors of h. 2, 7 Let t(d) = 15*d**2 - 1146*d - 52. What are the prime factors of t(101)? 37217 Let i(u) be the first derivative of -3*u**4/4 + 2*u**2 - 21*u + 63. What are the prime factors of i(-6)? 3, 67 Suppose 2*m - 3*v - 1 = -70, -2*m - v = 73. Let t = m + 30. List the prime factors of 1*4 + (10*-153)/t. 7, 37 List the prime factors of (53856/2)/4 + -15. 3, 2239 Let z be -6 - (-2 + (3 - -213)). Let x = -23 - z. List the prime factors of x. 197 List the prime factors of (4647/(-3))/(2*(7 + 1)/(-48)). 3, 1549 Let n(u) = 125*u**3 + u**2 - 2*u - 3. Let p(t) = t**3 + t**2 + 1. Let i(b) = n(b) + 4*p(b). Let z be i(3). What are the prime factors of z/91 + (-2)/(-7)? 3, 13 Suppose 799*x = 761*x + 1291582. List the prime factors of x. 41, 829 Let i(a) = 3*a**2 + 2*a + 10. Suppose -r + 1 = 0, -5*p - r - 2*r = 52. List the prime factors of i(p). 3, 13 Let g(m) = 3275*m - 79. What are the prime factors of g(9)? 2, 7349 Let d be (1 - (2 + -3))/(-1). Let q = 7 + -10. What are the prime factors of d - (q/5 - 3670/50)? 2, 3 Let x = 169 + 84. Let p = x - -63. Let l = p - 180. List the prime factors of l. 2, 17 Let c = -104 + 17. Let n = c - -92. What are the prime factors of n? 5 Let q(z) = -767*z + 1878. List the prime factors of q(-21). 3, 5, 11, 109 Let g(q) = 49*q + 131. Let s(v) = 2*v + 2. Let w(x) = g(x) + 4*s(x). What are the prime factors of w(10)? 709 Suppose -81*p + 83*p - 22 = 0. Suppose 7*q + 5*u = p*q - 627, 0 = q + 4*u - 162. What are the prime factors of q? 2, 79 Let c be 266/(-21) + (1/1)/(-3). Let w(n) = n**2 - 4*n - 63. List the prime factors of w(c). 2, 79 Let h(v) = 4329*v - 231. What are the prime factors of h(1)? 2, 3, 683 Suppose 0 = -n - 4, 11*n = -5*f + 6*n - 5590. What are the prime factors of (-67 - -70)*-2*f/12? 557 Let p = 1410 - 144. What are the prime factors of p? 2, 3, 211 Suppose 2*g + 40*s - 42*s = 32092, 3*s = 6. What are the prime factors of g? 2, 17, 59 Let s = -140896 - -204922. List the prime factors of s. 2, 3, 3557 What are the prime factors of 32/(3200/730140)*5? 3, 43, 283 Suppose -30*q + 264553 = -248117. List the prime factors of q. 23, 743 Let g be (-2 + 1)*(1 + -4). Suppose 0 = 4*q - o + 35, q = -0*q + g*o - 6. Let h = 77 - q. What are the prime factors of h? 2, 43 Let h(w) = -16*w**3 - 56*w**2 + 6*w - 25. Let z(m) = 3*m**3 + 11*m**2 - m + 5. Let i(o) = -2*h(o) - 11*z(o). List the prime factors of i(-9). 2 Suppose -2*p + 7*p = p. Suppose 3*x = 3*u + 18, 2*x + p*x + 4*u = 0. Suppose -2*z + 0*m = 4*m - 408, x*z = 4*m + 852. What are the prime factors of z? 2, 3, 5, 7 Let m(x) = 4 - 6*x**2 - 3 + 11*x - 4*x**3 + 3*x**3 + 2*x**3 + 12*x**3. What are the prime factors of m(4)? 11, 71 Let f = -41 + 39. Let j be 6/(-9)*((-6)/f)/(-1). Suppose -3*g = -3*l - 33, -2*g = -3*g + 4*l + j. What are the prime factors of g? 2, 7 Let y be (-39)/(-6) + -3 + 6/(-12). Suppose t - 20 = y*x, t + 4*x + x = -20. Suppose -3*v = b - 247, 29 + 72 = v + t*b. What are the prime factors of v? 3 Let v(p) = -37 + 2*p + 32 + 18 - 3*p. Let o(y) = y + 4. Let n be o(-4). What are the prime factors of v(n)? 13 What are the prime factors of 3/(-39) - (-222)/858 - (-309492)/22? 2, 3517 Suppose 4*h - 5*q - 25046 = 0, -6270 = -h + 2*q - 5*q. List the prime factors of h. 2, 3, 29 Let g = -21 - -43. Let j be (-4)/g + 0 + (-72)/(-33). What are the prime factors of (3 - j) + -4 + 123/1? 2, 3, 5 Let f be 1 + 16 + 1 + 0. Let a be -35*(-54)/45 - (1 - 10). Let w = f + a. What are the prime factors of w? 3, 23 What are the prime factors of 6885 - ((-11)/1 - (-24 - -21))? 61, 113
Let p(g) be the first derivative of 3/2*g**2 + 2*g + 1 + 15/4*g**4 + 0*g**3. List the prime factors of p(2). 2 Let n = -330 - -156. Let l = 29 - 39. What are the prime factors of (6/l + 16/(-40))*n? 2, 3, 29 Suppose 0 = -j, 411*h - 11205 = 410*h - 4*j. List the prime factors of h. 3, 5, 83 Let m be (3 + 0)*(-40)/(-3). Let r = m + -37. Suppose 3*v - g = 180, 5*v - 130 - 166 = r*g. List the prime factors of v. 61 Let b = 5482 + 16080. What are the prime factors of b? 2, 10781 Suppose -3*i = -3*a + 57216, -2*a - 17805 = -i - 55944. List the prime factors of a. 23, 829 Let q(h) = 21 - 11*h + 40*h + 30 + h**2 - 2*h**2. What are the prime factors of q(14)? 3, 29 What are the prime factors of 4/(-106) + 13323180/1060? 12569 Let l be (-145)/(-2)*(-19 + 21). Let y = 164 - l. List the prime factors of y. 19 Let a be (-4)/(-3)*(-6)/(-16)*4. Let g be 1 - -2*a/1. Suppose 2*k = -2*m - 22 + 340, g*m = k - 183. List the prime factors of k. 163 Let o = 667 - 605. List the prime factors of o/62 - 1*-1070. 3, 7, 17 Suppose 1760 = -4*t - 5*r + 7142, -t = -2*r - 1339. Suppose 8*c = 8639 - t. List the prime factors of c. 2, 3, 19 Suppose -167 = -6*f + 151. Suppose 0 = -i + 4*x - 19, -4*i = -0*x - x + 91. Let v = f + i. List the prime factors of v. 2, 3, 5 Let n = 44 - 64. Let q = 71 + n. Let m = q - 36. What are the prime factors of m? 3, 5 Let u = -16 - 1. Let n = 17 + u. What are the prime factors of n + -6*9/(-2)? 3 Suppose 0 = -42*s + 138884 + 206272. List the prime factors of s. 2, 7, 587 Let o = 126 - 168. What are the prime factors of ((111/9)/(-1))/(7/o)? 2, 37 Suppose -16*k + 645 = -k. Let y = k - -131. What are the prime factors of y? 2, 3, 29 Let v(d) be the first derivative of -d**4/4 - 2*d**3 - d**2 - 80*d + 140. What are the prime factors of v(-12)? 2, 101 Suppose -67 = 2*y + 3*a, -2*y - 90 = 2*a - 26. Let b(x) = -2*x**2 - 111*x + 29. List the prime factors of b(y). 2, 3, 29 Let h = -301 - -306. Suppose 5*m - 27 = -2*n + 10, h*n = 5. What are the prime factors of m? 7 Suppose 5*j + 5608 = 4*r, 3*r = 8*r - 2*j - 7010. List the prime factors of r. 2, 701 Let w = 10217 - 3620. List the prime factors of w. 3, 733 Suppose -237*c = -250*c + 816006 + 41240. List the prime factors of c. 2, 32971 Let f = 80 + -91. Let s(m) = 305*m - 35. Let y be s(f). List the prime factors of (-2)/13 - y/65. 2, 13 Let h(t) = -760*t - 4947. List the prime factors of h(-16). 7213 Let g(v) = 389*v**2 + 139*v - 1304. What are the prime factors of g(8)? 2, 193 Let b = 2448 + -887. List the prime factors of b. 7, 223 Let g = -146 - -151. Suppose 4*r - g*j - 1860 - 523 = 0, -3*j - 1193 = -2*r. List the prime factors of r. 2, 37 Suppose 2394*b - 2382*b - 30720 = 0. What are the prime factors of b? 2, 5 Suppose 3*a + 78 = 3*d - d, -2*d = -6. Suppose 4*o - 20 = 0, -5*h - 4*o = -40 - 200. Let x = a + h. List the prime factors of x. 2, 5 Let w = 43169 + -22381. List the prime factors of w. 2, 5197 Let p(c) = c**3 - 10*c**2 - 28*c + 49. Let r be p(12). Let s(i) = -2 + 182*i**3 + 2*i + i**2 - 2*i. List the prime factors of s(r). 181 Suppose -3*d - 5 - 19 = 0. Let p be (-1 - 4/(-16)) + (-1182)/d. Suppose 2*w - 3*w = -p. List the prime factors of w. 3, 7 Let t(n) = -3*n + n - 19 + 17 - n. Suppose 11*l - 9 = 12*l. List the prime factors of t(l). 5 Let h = -201 + 194. What are the prime factors of h/(-5 + (-717)/(-144))? 2, 3, 7 Let j(s) = 45*s**3 - 44*s**2 + 20*s - 39. What are the prime factors of j(10)? 3, 7, 647 Let m = -1238 - -2253. List the prime factors of m/56 + -8 + (-1)/8. 2, 5 Let j = -28862 + 47449. List the prime factors of j. 18587 What are the prime factors of ((-83934)/4)/(104/(-208))? 3, 4663 Suppose -15*o + 10*o = 2*n - 14555, -3*o + 4*n = -8759. List the prime factors of o. 3, 971 Let n = 18 - 18. Let s = -10 - -68. Suppose n = w - s - 10. What are the prime factors of w? 2, 17 List the prime factors of (-808328)/(-120) + 13/(-195). 2, 421 Let w = 35016 + -11500. List the prime factors of w. 2, 5879 Suppose 3*y + 6981 = 3*c, 76*c = 78*c + 2*y - 4646. List the prime factors of c. 3, 5, 31 Suppose 0 = 3*k - 12, 4*b + 1 - 9 = 2*k. Suppose x + 2*l - 496 = 0, 2*l - b*l + 2520 = 5*x. What are the prime factors of x? 2, 11, 23 Let t = 12 + -16. Suppose j + 2*x = 4*x, -4*x = 2*j - 24. List the prime factors of (j + -4)/(t/(-42)). 3, 7 Let g = -46 - -49. Let k(n) = -21*n - g*n - 56 - 24*n - 9*n. List the prime factors of k(-5). 229 Suppose -521120 = -42*d + 76960 + 496314. List the prime factors of d. 71, 367 Let d(s) = -s**3 + 32*s**2 + 393*s + 218. List the prime factors of d(40). 2, 3, 523 Let c(i) = 159*i - 977. What are the prime factors of c(93)? 2, 5, 1381 Let z(g) = -g**2 - 10*g - 7. Let q be z(-9). Suppose 3*m - q*b - 13 = 0, m - 4*b + 19 = 4*m. Suppose k - m*p = 8, 8 = -0*k + k - p. List the prime factors of k. 2 Suppose 928638 = 178*k - 744206. What are the prime factors of k? 2, 37, 127 Let b = 49409 + -33060. What are the prime factors of b? 16349 Suppose 211*x - 6120090 = 21*x. List the prime factors of x. 3, 1193 Suppose -r + 2*j + 318 = 0, -15 = 3*j - 3. Suppose -570 = -11*i + r. Suppose -6*g + 190 = -i. What are the prime factors of g? 3, 5 Suppose 0 = 3*m - 0*z + 4*z - 716, 2*m - z = 492. Let r = 784 - m. List the prime factors of r. 2, 3, 5 Let m(f) = -26*f**2 - 29*f - 17. Let n(k) = 24*k**2 + 29*k + 16. Let y(h) = 2*m(h) + 3*n(h). What are the prime factors of y(7)? 3, 7, 19 Let m(g) be the third derivative of -g**6/120 + 3*g**5/20 + 7*g**4/24 - g**3/2 - 12*g**2. Let f be m(9). Let t = 194 - f. What are the prime factors of t? 2, 67 Let t(a) be the first derivative of -3*a**2/2 - 85*a + 26. Let q be t(-30). Suppose 0 = x + 5*p - 259, 1111 = -4*x + 8*x + q*p. What are the prime factors of x? 2, 71 Let x = 2655 - 1845. Suppose 24*u - x = 870. List the prime factors of u. 2, 5, 7 Let i be 11/4*-11 + (-22)/(-88). List the prime factors of 53/(-2)*(i + 8). 11, 53 Suppose -4*d = -5*m - 39816, 2399*d - 5*m = 2404*d - 49770. List the prime factors of d. 2, 3, 7, 79 Suppose 259*b + 252*b - 627960 = 471*b. What are the prime factors of b? 3, 5233 Suppose -2*h + z = -839, 5*z - 1202 = -2*h - 381. List the prime factors of h. 2, 11, 19 Let o be 5*(34/30 - 2/15). Suppose 3*c + 2*n - 1938 = -265, 25 = -o*n. Suppose -3*z - 15 + c = 0. List the prime factors of z. 2, 7, 13 Suppose 0 = 3*w + 174 - 165. What are the prime factors of (w/(-6))/(1/(-2)) - -324? 17, 19 Let m be -1*(-656)/40 - (-6)/10. Let c(t) = t**2 + 8*t + 16. List the prime factors of c(m). 3, 7 Suppose -25 + 7 = -6*f. Let u(v) = 11*v**2 + v + 7. Let b be u(f). Suppose 572 - b = 5*w + 4*p, 4*w - 365 = -5*p. What are the prime factors of w? 5, 19 List the prime factors of -40*(-57827)/44 + -6 + -1. 3, 7, 2503 Suppose -81*c + 673826 = -170113. List the prime factors of c. 3, 23, 151 Suppose 5*t - 42 = -17. Let b(y) = -y**3 - 6*y + 4*y**2 + 3*y**2 + y**2 + 3 - 4. What are the prime factors of b(t)? 2, 11 Let p(g) = -85*g + 59. Suppose -9*w = 12*w + 63. List the prime factors of p(w). 2, 157 Suppose -5*f - 87 = -4*f. Let t be 1/(-3) + (-1247)/f. Suppose -t*b = -17*b + 66. List the prime factors of b. 2, 11 Let a be (-30)/75 - 4/(-10). Suppose a = 2141*f - 2142*f + 1062. List the prime factors of f. 2, 3, 59 Let t be 4/(8/(-6)) - (486 - -5). Let c = 952 + t. List the prime factors of c. 2, 229 Let x = -18 - -22. Let t(n) = -2*n - 4. Let j be t(x). What are the prime factors of (-4)/j - 861/(-9)? 2, 3 Let y = -37389 - -88017. What are the prime factors of y? 2, 3, 4219 Suppose -3*j - 6 = -s + 6, -3*j - 6 = s. Let n be (12/5)/(-2*s/(-880)). Suppose -9*c + n = -5*c - 2*p, 10 = 5*p. What are the prime factors of c? 89 What are the prime factors of (-349)/((-1)/(-5)*7/(-35))? 5, 349 Let k = -167 + 162. List the prime factors of -1 + k + 64 + 6. 2 Let m(n) = -12 + 12*n**3 + 3*n**2 - 14*n**3 + 12*n**2. Let t = 5 - -2. What are the prime factors of m(t)? 37 Suppose 74*s + 212550 = 100*s. List the prime factors of s. 3, 5, 109 Let l = 376 - 374. What are the prime factors of 2*l/(-4)*13*-5? 5, 13 Suppose 44336 = i - 3*f, 0 = 3*i + 2*f - 122365 - 10599. List the prime factors of i. 2, 7, 1583 Suppose 2*h = 3*l - 4*h - 195252, -4*h - 325408 = -5*l. What are the prime factors of l? 2, 5, 1627 Suppose 3*i + 0*i + g = -23, -1 = i - 3*g. What are the prime factors of 8 + 502 + (-9 - i)? 2, 127 Suppose 2*l - 15 - 3 = 0. Let a(s) = 3*s**2 - 4 - l*s + 4 + 5. List the prime factors of a(7). 89 Let b be -5 + -9*(2 + -5). Suppose w = -2*l + 2583, -25*w + 2589 = 2*l - b*w. List the prime factors of l. 2, 3, 5, 43
Simplify (c**(-1/75)*c**33*c)/(c/(((c**(1/5)/c)/c)/c)*(c**(-6/13)*c*c)/c) assuming c is positive. c**(28907/975) Simplify (k/(((k*k*k**28)/k*k*k)/k))**35/((k/(k*k**(-7))*k*k)/((k**(-9)*k)/k)) assuming k is positive. k**(-1033) Simplify (i*i*i**(7/2))/((i/(i**2*i))/i)*(i/i**(2/5))/i**(-2/9)*(i**(-2/3))**(-36)*(i*i/i**(-1/7))/i**6 assuming i is positive. i**(18563/630) Simplify ((g**(-1)/g*g)**(4/9))**48*((g/g**(1/5))/g*g**0)**(-6/29) assuming g is positive. g**(-9262/435) Simplify (l**(2/3)*l**(-2/7)*l*l**(-3)/(l**(-2/5)/l))/((l**(-2/7)*l)**(-1/10))**(8/9) assuming l is positive. l**(-7/45) Simplify (b**(-3)*b*(b*b**(-7))/b*((b/(b**(2/5)/b))/b)**(-42))/((b*b**6)/b**5*(b**(1/3))**1) assuming b is positive. b**(-548/15) Simplify (w**(2/17)/w)**(-6/17)*w**(-1/7)*w/w**3 assuming w is positive. w**(-3705/2023) Simplify (c**(-2/3))**(-25)*c*c**(-2/11)*c*c**(-5/4)*(c**(3/2)/c)/(c*c**3)*c**(-2/21)/(c*c**(5/3)) assuming c is positive. c**(10139/924) Simplify ((d*d**(6/11))/(d*d**(-6))*(d**6)**(-1/3))**(-1/26) assuming d is positive. d**(-25/143) Simplify (g**(-2/3)*g/g**(-2/15))**(3/4)*((g**(2/9)/g)**(1/41))**(5/13) assuming g is positive. g**(32879/95940) Simplify ((f**(-1))**(-18)*((f/((f*(f*f*f*f/(f*(f/(f*f**(-1)*f))/f))/f)/f))/f)**(5/4))/((f**(-1/12)*f)/f**(-8))**(-35) assuming f is positive. f**(979/3) Simplify (((u/(u*u**(-1/4)))/u)**(1/36)/((u*u/(u*u**1)*u)/u*u)**(2/19))/((u**(4/7)*u/((u*(u*u**(2/5)*u)/u)/u))/(u**(-2))**(-34/5)) assuming u is positive. u**(84923/6384) Simplify (((p/p**(-25)*p)/(p/(((p*p*p**(1/13)*p*p)/p*p)/p)))**(-2/9))**41 assuming p is positive. p**(-3444/13) Simplify (a*a/((a/a**(1/5))/a)*a/(a**(-25)/a)*a)/(a**(-2)*a**(-2/5)*a) assuming a is positive. a**(158/5) Simplify (r**(-2/5)*r*r/(r/(((r/r**0)/r)/r)))**(-1)/((r**(2/9)/r**(-3/2))/((r*r**4)/r**7)) assuming r is positive. r**(-299/90) Simplify (p*((p/p**(1/3))/p)/p)**(2/51)/(p/p**(1/6)*p*p**(1/7))*((p/((p**3/p)/p))/p)/(p/p**(-6))*(p*p**(-4)/p)/(p**(-6)/p) assuming p is positive. p**(-14971/2142) Simplify r*r/r**(2/7)*r**(1/3)/r*(r/(r*(r/(r*(r/r**(-1/4)*r)/r*r))/r)*r)/((r/((r**(4/3)/r)/r))/r)*(r**0)**(17/4)/(r/r**2*(r/r**(-1))/r) assuming r is positive. r**(389/84) Simplify (j/j**0*j*j**21*j*(j**24/j)/j**29)**3 assuming j is positive. j**54 Simplify ((o*(o*o*o**(-2)*o)/o)**32)**(5/8)*(o/(o*o**(2/21)/o)*o/(o/(o/(o/(o**(3/4)*o*o)))))**49 assuming o is positive. o**(2389/12) Simplify (m**(5/6)*m**(-10/9))**(-1/37)*(m**(-5/4)/m*m*m/(((((m/m**(-5))/m)/m*m)/m)/m))**1 assuming m is positive. m**(-4319/1332) Simplify (((j/(j/j**(7/5)))/j*j)**(-2/21)/(j/(j*j**(-2/3))*(((j*j**(-35)*j)/j*j)/j)/j))**(-18/5) assuming j is positive. j**(-3078/25) Simplify ((b**(-8)*b*b**(2/21))**(-39))**6 assuming b is positive. b**(11310/7) Simplify (n/n**(-4/11)*n*(n**(-1/12)*n)/n*n**(-29)/(n/(n*n/n**(-1/8))))**(11/6) assuming n is positive. n**(-6757/144) Simplify ((u*u**19*u)**33/((u/u**(-15))/(((u*(u*(u/(u/(u**(-38)/u)))/u)/u*u)/u*u*u)/u)))**(1/18) assuming u is positive. u**(71/2) Simplify ((x**(-13))**(-28)*(x*x**(-13))**(-5))**(3/44) assuming x is positive. x**(318/11) Simplify (g**5/(g*g**(-13))*g**(-3/5)/(g/(g*g**(-2/7)*g*g)))**(-3/7) assuming g is positive. g**(-1902/245) Simplify ((v**(1/31)*v*v*((((v*v/(v/((v**(4/5)*v*v)/v)))/v)/v)/v)/v*v)/(((v**(-1/13)*v)/v*v)/v*v*v*v**39/v))**(-18) assuming v is positive. v**(1381554/2015) Simplify (m**9)**(-1/56)/((((m**(2/13)*m*m)/m*m)/m)/m)**(2/3) assuming m is positive. m**(-575/2184) Simplify (((z/(z/(z*z/(z*(z*z*z**(2/7))/z))))/z)/z*z/z**1)**(-49)/(z**(-5)/((z*(z**5/z)/z*z)/z))**(19/5) assuming z is positive. z**(731/5) Simplify ((w*w**(-6)*w/(w*w/((w/((w**(-1)/w*w*w)/w))/w))*w**(-5)/(w*w**5))**(-2/81))**(-35) assuming w is positive. w**(-1120/81) Simplify (n**(-7)/n*n*n/(n**(-2/7)/n)*n**(2/3)*n**6)/((n**(1/4))**(-31)*(n**(-2/9))**(2/13)) assuming n is positive. n**(31897/3276) Simplify (((k/(k*k**(6/11)))/k)/((((k/k**(-10))/k)/k)/k*k)*(k**(-1/2))**(2/75))**(-1) assuming k is positive. k**(8711/825) Simplify ((i*i**(-1))**(-3/5)*(i/((i/(i*i/i**(-2)*i))/i))**46)/((((((i*i*i**(-3)*i)/i)/i)/i)/(i*i*i**4))/(i/i**(-4/5)*i**(-1))) assuming i is positive. i**(1429/5) Simplify ((n/(n/(n**0*n)))**(9/2)*(n/(n/(n/(n*n*n**(-1)))*n))**(-2/117))**(23/2) assuming n is positive. n**(24311/468) Simplify (((q/(q/(q**(-13/4)*q)))/(q/(q**5*q))*(q*q*q**(-5))**(35/6))**(3/8))**48 assuming q is positive. q**(-531/2) Simplify ((p**(1/2))**(-10/3)*p/(p*p**8)*p**(-13))**(2/45) assuming p is positive. p**(-136/135) Simplify ((b**6*b**6)/(b**(-2)/b*(b/(b*b*b**1*b)*b)/b))/((b*b*b**0/b*b**(2/25))/(b**(-1/5)*b*b/((b*b*b*b*b**(4/7)/b*b*b*b*b)/b))) assuming b is positive. b**(2126/175) Simplify (v/(v**(2/17)/v)*v**(-1/4))**45/((v**(-2/11)*v)/v**(-3/5))**(-3/4) assuming v is positive. v**(278703/3740) Simplify ((r**(-2/5))**(-14/5))**0*(((r**(2/23)*r)/r)/(r/(r/(r/r**(4/9)))))/(r**(1/4))**(-6) assuming r is positive. r**(427/414) Simplify ((y**(-2/43))**(8/3)/(y**(34/7)/y)**0)**(11/8) assuming y is positive. y**(-22/129) Simplify ((((d**(-5/3))**(3/11))**(-23))**(-2/15))**39 assuming d is positive. d**(-598/11) Simplify (((z/(z/(((z*z**2)/z)/z)))**(-30)/(z/z**9*z*z**(2/11)*z*z))**(23/2))**16 assuming z is positive. z**(-50968/11) Simplify ((u**(-4)/u)/u**2)/(u**(-3)*u/u**(-8))*((u**0)**(-48))**(5/8) assuming u is positive. u**(-13) Simplify (t**(-8)/t*t/(t/(t/t**(-3)))*t*t*t**(1/8)*t*t*t**(1/11))/((t**1/t*t)**(5/3)*t**(2/3)/t*t**(-7)/t) assuming t is positive. t**(1553/264) Simplify (((n/(n**(-1/3)/n)*n)/(n/n**(-3)))/((n*n**(-2/21))/(n**1*n)))/(((n/n**(1/2))/n)**(-8/5))**(-34) assuming n is positive. n**(967/35) Simplify ((f*f**38)/f)/f*f*f*f/(f*f**(12/5)*f)*f**(-3/2)/f**(9/4) assuming f is positive. f**(637/20) Simplify (y**(-1)*y**(-2)/y)**(-7)/((y*y**6/y)/(y**(-2/7)*y*y))**(-1/3) assuming y is positive. y**(206/7) Simplify (((r*r**(3/7))/r*r)**(-32/3)/(r**29*r/((r/r**(-26))/r*r*r)))**16 assuming r is positive. r**(-5792/21) Simplify ((b/(b*b**(-2)))**(-26)*b/(b/b**(-3))*b*b**(-2))/(((b**1/b)/(b/(b*b*b**(1/3)*b*b)))/(b**(1/2)*b**(2/9)/b)) assuming b is positive. b**(-1073/18) Simplify ((o**(-3)/o)/o*o**(-5)*(o/o**1)**(35/3))/(o**(-2/9)*o/(o**(-6)*o)*(o*o**(2/5))/(o**(-2)*o)) assuming o is positive. o**(-818/45) Simplify (k**(-1)/(k/(k/(k/(k*k**(-1/4)/k*k)))))/(k/(k/k**0))**(-9/8)*((k**(3/4)/k)/k*k*(k/k**(-6))/k*k)**(2/99) assuming k is positive. k**(-49/44) Simplify (z**(2/7)/(z*z*z/z**(1/16)))/(z**5/z)**(-18) assuming z is positive. z**(7767/112) Simplify ((x*x**0)**(22/9)/(((x*x**(-2/9))/x)/(x*x**(-9))))**(2/7) assuming x is positive. x**(-32/21) Simplify (q**(-23)*q**(-6)*q*(q*q**(3/11)*q)**4)**(-16) assuming q is positive. q**(3328/11) Simplify ((((k/(k**(6/11)/k))/k**(-6))**43)**(2/5))**(-1/2) assuming k is positive. k**(-3526/55) Simplify (p**(1/6)/(p/(p*p**6)))**(-12/5)/((p**(1/4)/p*p)**(-8)/((p/(p/(p/(p*p**6/p*p)))*p)/p*p/((p**0/p)/p))) assuming p is positive. p**(-79/5) Simplify (o*o**(-5)/o*o/(o/(o/(((((o*o/(o**(-25)*o*o*o))/o*o)/o)/o*o)/o))*o)*(o/(o**(2/25)*o))**(-7/4))**(-1/21) assuming o is positive. o**(1343/1050) Simplify ((z**(-1/8)*(((((z*z/(z/z**(1/2)*z))/z)/z)/z)/z)/z)/((z/z**1)/z*z)**34)/((z**6/z)/z*z**(-6/5))**(-1/18) assuming z is positive. z**(-1609/360) Simplify y**(-1/70)*y*y**(-22)*(y*(y**40*y)/y)**41 assuming y is positive. y**(116199/70) Simplify l**(-1/3)/(l*l**(1/12))*((l**(-3)/l)/l)/(l/l**4)*l**(-6)*l/l**(-5)*(l**(-1))**(2/75) assuming l is positive. l**(-1033/300) Simplify (j**(-1/3))**(3/7)/((j*j**(-2/7)/j)/(j*j**(2/27)*j))*((j/(j*j*j*j/(j**8*j)*j*j*j))/(j*(j/(j/j**(-4/7)))/j))**(-30) assuming j is positive. j**(-2833/27) Simplify ((d/(d/d**(-5)))/(d*d/d**(2/29)*d)*(d/(d**(1/3)/d))**(2/69))**(-3/20) assuming d is positive. d**(2366/2001) Simplify ((p*(p**(1/3)*p)/p)**(-2/117))**(-42)/((p**(-2/17)*p*p)/p*p**(-1))**(-13/6) assuming p is positive. p**(1397/1989) Simplify (((((b**(-11)*b)/b)/((b**(-5)*b)/b))/(b**12*b**11/b))**(-24))**(5/11) assuming b is positive. b**(3360/11) Simplify (l/((l*l**19)/l)*l*l**(1/8)*(l**(-1/5))**(2/93))**(-38) assuming l is positive. l**(1193029/1860) Simplify ((i**(-1))**42)**(-6/19)*(i**(1/2))**(-5/4)/(((i*i/i**(-5)*i)/i)/(i/(((i/i**(2/15))/i)/i)*i)) assuming i is positive. i**(19999/2280) Simplify (((r*r*(r*r**(-19)*r)/r*r)**(2/13))**(-34))**9 assuming r is positive. r**(9180/13) Simplify ((s**(2/33))**47*(s**(-14/5))**34)**24 assuming s is positive. s**(-121904/55)
What is the closest to 0.037 in -0.1, -1, 29.92, 4? -0.1 Which is the nearest to 0.5? (a) 4 (b) -8009 (c) -116 a What is the closest to 1/5 in -0.05, 17/6476, -67? 17/6476 Which is the closest to -2? (a) 5/8 (b) -1.8 (c) -4/9 (d) 0.3 (e) -0.1 (f) 2/7 b Which is the closest to 3/5? (a) 2/15 (b) 11978 (c) -21 (d) 2/17 a What is the closest to 2 in -0.4, 0, 2331.939, -1/4? 0 What is the nearest to 0.2 in -14134, -0.3, 1.6? -0.3 What is the closest to 1 in -2/21, 0.62426, -4/5? 0.62426 What is the nearest to 2 in -192221, -0.1, -2? -0.1 What is the nearest to 1/2 in 2, 0.077, 0, 5/4, 4/7, -0.5? 4/7 Which is the nearest to 26? (a) 5 (b) -6/13 (c) -2/7 (d) -5 (e) 7 e What is the closest to 0 in 23, -0.5, -26, -3/5, 1006? -0.5 Which is the closest to 157? (a) 2 (b) -98 (c) 9 (d) 3/5 c Which is the nearest to -1? (a) -10118.8 (b) 1/5 (c) -0.03 (d) -5 c What is the nearest to -102 in 31, 3, 2431? 3 Which is the nearest to -0.2? (a) -1 (b) 1050 (c) 0.4 (d) 1 (e) 2494 c What is the nearest to -4/17 in 0.4, 4/7, -0.769, 9? -0.769 What is the closest to -11/48459 in 20, 4/3, -5, -0.3? -0.3 What is the closest to 0 in -33, 5, -4, -2, -28/89? -28/89 What is the closest to 1/2 in 0, 122/27, -314? 0 Which is the nearest to 88? (a) 449 (b) 0.5 (c) -0.047 b What is the closest to -0.05 in -39/253, 3, -11/5, -4, 2/9? -39/253 Which is the nearest to 0.037? (a) -0.03 (b) -2961 (c) -1 a Which is the closest to 80? (a) 18 (b) -0.07 (c) 1 (d) -33 a Which is the closest to 1/3? (a) -0.2 (b) 11350 (c) -1 (d) -1.9 a What is the closest to -3/176 in 0.07, -1/8, -1.277? 0.07 Which is the closest to 49? (a) 19.426 (b) -4 (c) 0 a Which is the closest to 1/166860? (a) -1/9 (b) 2 (c) 102 (d) 0 d Which is the closest to -2? (a) 1 (b) -0.1 (c) -1/68 (d) -2.28 d What is the closest to -1/4 in 4, -2/9, 121477? -2/9 Which is the nearest to 2/7? (a) 973 (b) 16 (c) 1/6 c Which is the closest to 14? (a) -5 (b) -1 (c) -108366 b Which is the nearest to 0.17? (a) -14 (b) -38 (c) 15 (d) 1/2 d Which is the closest to -16060? (a) 0.4 (b) -1 (c) -0.84 b What is the nearest to 14690 in 0.05, 1/7, -4, 4? 4 What is the nearest to 17 in -1485, -2/7, 0.02, -0.8? 0.02 Which is the closest to -71023? (a) -39 (b) 0.5 (c) -3 a Which is the nearest to 1? (a) 1/2 (b) 0 (c) -146165 (d) 4 a What is the nearest to 1 in -277, -0.48, 1/6013, 0.2? 0.2 Which is the closest to 533? (a) -13 (b) 4 (c) 0.3 (d) 0.0488 b What is the closest to 316560 in 0.117, 0.2, 2? 2 What is the closest to 1143 in -1/5, 3/4, 0.11? 3/4 What is the closest to 0.6 in -2.7, 5, -4, 3, 17? 3 What is the closest to 0.2 in 1/20, -574, 1/2, -4, -0.03? 1/20 What is the nearest to -1/5 in -225.8, 2/23, 223? 2/23 What is the closest to 1.2 in 4, -609, 0.2, 2/5, 1/3, 64/3? 2/5 Which is the nearest to -2/9? (a) 680 (b) 0.48 (c) 0.2 c Which is the nearest to -0.565? (a) -2/19 (b) -2.3 (c) 9 a What is the closest to -2/7 in 6/7, 5, 1.1, -2/11, -13? -2/11 What is the closest to 2117.5 in 4/7, -513, -5, -1? 4/7 Which is the closest to -0.04? (a) 50 (b) -4 (c) 39054 b What is the nearest to 28 in 3, 6/25, -53/8, 1? 3 What is the closest to -2/5 in 55, -1/9, -7/555, 1/6, -4, -0.4? -0.4 What is the closest to -0.1 in -5, 2/71, -1/10, -5.8887, 0? -1/10 Which is the nearest to -0.002? (a) 24837 (b) -2 (c) 3/7 c What is the nearest to 25/3 in -0.5, 0, 15, -2/13, 8? 8 Which is the closest to 0.05? (a) -2 (b) -4/79 (c) 2/13 (d) -22 (e) -4 (f) 47 b What is the nearest to -1 in 5/6, 56.711, -5, 65? 5/6 Which is the nearest to 2/15? (a) -0.03 (b) 27762/11 (c) -2/13 (d) 1/2 a Which is the nearest to 3/2? (a) -3/2 (b) -143.3 (c) -17 (d) 0.3 d Which is the nearest to 9/2? (a) -11292 (b) 23 (c) -4/3 (d) 4 d Which is the closest to 1? (a) 1/4 (b) 0.17 (c) 3 (d) 2/321163 a What is the nearest to -1.5 in 1, 0.2, -6, -14/3111? -14/3111 Which is the closest to -0.1285? (a) 2/13 (b) -0.5 (c) 8/17 (d) -1/4 d What is the nearest to 1/2 in 2/9, 5, 0.2, -0.3, -1015/4, -3? 2/9 What is the closest to 2/7 in 1.86318, -0.2, -2/5, 10, -3, -1/4? -0.2 Which is the nearest to -0.1? (a) 0.2 (b) -2.4 (c) -2/3 (d) 635 (e) 0 e Which is the closest to -2/7? (a) 3/8 (b) 1/7 (c) -3.1715 (d) -3 (e) 19 b What is the closest to 0.2 in 1383, 1.2, 16? 1.2 Which is the nearest to -2/9? (a) -0.09 (b) -163.35 (c) 0.5 (d) 2 a What is the closest to -0.2 in 53, -35, -1/20, -2, -31? -1/20 Which is the nearest to -0.1? (a) -2/9 (b) -185/4 (c) -0.07 (d) 1/3 (e) 14 c What is the nearest to -0.0015 in 0.1, -0.04, 3, 84, -4/9? -0.04 What is the nearest to -3 in -1, 0.337, 7, -6? -1 Which is the nearest to 1/3? (a) -0.2 (b) -151 (c) 1 (d) 3942 (e) 2/5 e What is the nearest to 0.1 in 4, 26/1617, -4/7, -2, 0.1, -1/133? 0.1 What is the nearest to -0.012 in -28, -0.7, -0.05? -0.05 What is the nearest to 162 in -3, -51/7, 60? 60 What is the nearest to -3 in -0.5, 159/7, -1/3, 965? -0.5 Which is the nearest to 6? (a) 2 (b) 0 (c) -1294884 a Which is the closest to -2? (a) -5/16 (b) -70 (c) -11 (d) -5 (e) -0.1 a Which is the nearest to 3/170? (a) 9/7 (b) -0.3 (c) 6/19 (d) 0.5 c Which is the nearest to -2? (a) 4 (b) -0.45 (c) 3 (d) -1530 b Which is the closest to 1? (a) 1/5 (b) 4.255 (c) 825 a Which is the nearest to 1? (a) 302 (b) -3/287 (c) -52 b Which is the nearest to 0? (a) -4532 (b) 3811 (c) 2/9 (d) -2/19 d What is the closest to -0.2 in -1/8, -2/12615, -39, 0.3, -14? -1/8 Which is the closest to 1/4? (a) 2/9 (b) 67 (c) 1743/5 (d) -42 a Which is the nearest to 0.1? (a) -0.1 (b) 2/383 (c) 7340 (d) 15 (e) 0.5 (f) -3/2 b Which is the closest to -2/7? (a) 9 (b) 2/7 (c) 264924 b What is the closest to 5053 in -6, 1/4, -0.16, 0.3, 0.2? 0.3 What is the closest to 2 in -4/3, -31, -5184? -4/3 What is the closest to 0 in -2, 464, 5, 22.19, -1/4? -1/4 Which is the nearest to -1? (a) -0.2 (b) 1 (c) 3166556 a What is the closest to -0.2 in 3/4, 2/5, -28/11, -1, -1/567? -1/567 What is the nearest to 13 in 0, 1/3, 3, 2052? 3 Which is the nearest to 0.8? (a) -1 (b) -2642 (c) -0.2 (d) 1 d What is the nearest to 1 in -5856, 1.75, 3/7? 3/7 What is the nearest to -4 in 174/11, 0.1, -0.2, 44/57, 2? -0.2 Which is the nearest to -1? (a) -3 (b) 2/15 (c) 15 (d) 0.5 (e) 4 (f) 1884/5 b What is the closest to 46 in -4, 5, -0.4, -2.208? 5 What is the closest to -20 in 0.1, -5, -32/99, 514? -5 Which is the closest to -1? (a) -9 (b) -0.31866 (c) 27 (d) 0.4 b Which is the nearest to 1? (a) -1 (b) -1/6 (c) 11/14 (d) 0.1 (e) -2.5 (f) 1.6 c What is the closest to -3/2 in 0.4, 535, 0.1, 212/7? 0.1 Which is the nearest to -46.8? (a) -6517 (b) 2 (c) -7 c Which is the closest to 6.1? (a) -8 (b) -1/2 (c) 3.1202 (d) 2/17 c What is the nearest to 17 in -5, 0, 29.7, 3/2? 29.7 What is the closest to -1/4 in 5, -3010, -0.4, -3/14? -3/14 Which is the closest to 4? (a) -2 (b) 83/8 (c) 23/3 (d) 5 d What is the closest to 0.223 in -3, -0.1, -0.292, 2? -0.1 Which is the nearest to 13.9? (a) 3/5 (b) 6.6 (c) 0.02 b What is the closest to 100 in 122, 0, 437? 122 What is the closest to 1 in -1, -3/5, 13160, -1/122? -1/122 Which is the closest to 1/32? (a) -2 (b) 2.81 (c) -3/5 (d) 2.4 (e) -9 c What is the closest to 0 in -0.9, -6, 377, -5, 2, -24? -0.9 What is the nearest to -92 in 2/13, -701, 32? 2/13 What is the closest to 2/61 in 1/4, 0.0484, -0.3, -1, -2/45, 5? 0.0484 Which is the nearest to -142439? (a) 0 (b) -0.2 (c) -4 c Which is the closest to 2/7? (a) 2 (b) -614 (c) -4 a What is the nearest to -2/1443 in -3, -4, -7, 31? -3 Which is the nearest to 192? (a) -32 (b) 0.1 (c) -4/9 b Which is the nearest to 0.05? (a) 249 (b) -1 (c) -6 (d) -3 (e) 1 e Which is the closest to -1/25? (a) 0 (b) 6.819 (c) -1 a What is the nearest to -3.9 in 1/4, 1, 0.01, -4, 484, -0.5? -4 What is the closest to -2/5 in 2/15, -784, -6, 12? 2/15 What is the nearest to -0.7 in -0.031, -23, 1/4? -0.031 What is the nearest to 15 in -0.4, -0.3, 2/7, -1/6, -69, 2/29? 2/7 Which is the nearest to 0.7? (a) -1/2 (b) 0 (c) 184 (d) -861 b What is the closest to 1 in 530/9, -0.59, -5/7? -0.59 What is the closest to 2/81 in -3, -208, -5, -4, 0? 0 What is the nearest to -35/3 in -1, -5.94, -3/5, 1, 4/31? -5.94 Which is the closest to 164? (a) 13 (b) 23/3 (c) -0.73 (d) -5 (e) -0.4 a Which is the closest to 0? (a) 72 (b) -3 (c) -1/4 (d) 0.03 (e) 21 d Which is the closest to 0.1? (a) 87 (b) 0.2 (c) -21/4 (d) 0.021 d
Let j(q) = -8*q - 43. Let f(n) = 204*n. Calculate j(f(x)). -1632*x - 43 Let y(k) be the first derivative of -2*k**3 + 110. Let q(r) be the third derivative of -r**5/15 + 5*r**2. Calculate y(q(f)). -96*f**4 Let c(t) = -28429 + 15*t - 3*t + 28429. Let a(y) = 17*y**2. Let f(h) = -9*h**2. Let q(x) = -6*a(x) - 11*f(x). What is c(q(l))? -36*l**2 Let f(i) = 4*i**2. Let u(j) = j**3 + 7*j**2 + 3*j - 1. Let z be u(-7). Let b = 38 + z. Let x(c) = b - c - 16. Determine x(f(l)). -4*l**2 Let m(v) = 2*v**2. Let c(h) be the first derivative of h**6/20 + 49*h**3/3 - 14. Let q(l) be the third derivative of c(l). What is m(q(r))? 648*r**4 Let h = 7 + -14. Let i(d) = 7*d - 6. Let s(g) = -8*g + 7. Let a(y) = h*i(y) - 6*s(y). Let l(k) be the third derivative of k**5/10 + k**2 - 5. Give l(a(j)). 6*j**2 Suppose 27*w = 31*w - 8. Suppose f - 4*f - 8 = -4*i, -w = -2*f - i. Let b(c) = f + 0 - 27*c + 25*c. Let n(m) = -3*m**2. Give b(n(g)). 6*g**2 Let r(f) be the first derivative of 7*f**2/2 - 6*f - 6. Let z(m) = -7*m + 5. Let b(d) = -5*r(d) - 6*z(d). Let a(o) = 2*o. Give a(b(j)). 14*j Let i(l) = 496*l**2 + 1. Let b(v) = 32*v. What is b(i(r))? 15872*r**2 + 32 Let l(h) = 1723291*h. Let n(a) = 2*a**2. Give l(n(t)). 3446582*t**2 Let s(a) = -31*a**2. Let u(v) = -3596*v. Calculate s(u(m)). -400867696*m**2 Let i(j) = -20*j. Let v(l) = -l - 8346. Calculate i(v(b)). 20*b + 166920 Let j(v) be the third derivative of v**7/252 + v**4/4 - v**2. Let c(a) be the second derivative of j(a). Let d(y) = y**2. Calculate d(c(p)). 100*p**4 Let f(w) = -4*w**2. Let x(q) be the first derivative of q**3 + 2 + 2 + 12 + 0. Calculate x(f(j)). 48*j**4 Let w(y) = y + 1. Let f(d) = -9*d - 8. Let l(q) = -5*f(q) - 40*w(q). Let o(v) = 2*v - 4. Let k(n) = 5*n - 11. Let j(g) = 4*k(g) - 11*o(g). Give l(j(x)). -10*x Let v(k) = -2*k**2 + 33*k. Let i(j) = -34*j**2 + 6. What is v(i(q))? -2312*q**4 - 306*q**2 + 126 Let k(g) = -2*g. Let o be 192/104 + (-2)/(-13). Let m(d) = -d**o - d + 2*d - d. Give m(k(r)). -4*r**2 Let u(g) = 128*g**2. Let q(y) be the second derivative of y**4/12 - 186*y. Calculate u(q(p)). 128*p**4 Let r = 8 - 8. Suppose 5*n + 4 = -0*i + i, 2*n - 4*i + 16 = r. Let u(b) = n*b - 3*b + b - 2*b. Let a(v) = -v**2. Calculate a(u(l)). -16*l**2 Let y(o) = -o. Let z(n) = 398237*n**2. Calculate z(y(q)). 398237*q**2 Let q(m) = 2587 + 2587 + 2578 - 7752 + 5*m**2. Let k(i) be the second derivative of 1/6*i**3 + 0 + i + 0*i**2. Give q(k(d)). 5*d**2 Let h(r) = 10*r**2. Suppose 2*i + 5 = 11. Suppose -i*v - 4*g + 13 = 0, g + 8 = v + 6*g. Let b(o) = -v - o + 3. Calculate b(h(d)). -10*d**2 Let o(v) = -701*v. Let h(x) = 28*x + 9. Let t(w) = -3*w - 1. Let r(u) = 2*h(u) + 18*t(u). Determine r(o(a)). -1402*a Let q(i) = -i. Let d(n) = 41*n + 4. Let y(z) = -82*z - 7. Let a(x) = 5*d(x) + 3*y(x). Calculate q(a(j)). 41*j + 1 Let w(f) = -19*f**2 + 37*f**2 + 23*f**2 + 9 - 11. Let v(x) = -2*x**2. Give v(w(p)). -3362*p**4 + 328*p**2 - 8 Let l(r) = 2*r. Let n(d) be the second derivative of -30*d**3 - 545*d. Determine l(n(p)). -360*p Let q = -2 - 2. Let n = 7 + q. Let l(d) = -7*d + 0*d + d + n*d. Let c(f) = -3*f**2. Give c(l(s)). -27*s**2 Let i(x) = -3*x. Let a(m) = m. Let l(c) = 3*c - 6*c + 2*c. Let g(u) = 2*a(u) + l(u). Give i(g(h)). -3*h Let t(c) = 108*c**2 - 3*c. Let b(r) = 19*r. Calculate t(b(i)). 38988*i**2 - 57*i Let i(a) = -175*a. Let r(m) = -39*m. Let x(k) = 4*i(k) - 18*r(k). Let w(s) be the first derivative of 1 - s**3 + 4*s**3 + 0. Calculate x(w(p)). 18*p**2 Let f(b) = 3*b**2. Let i(l) = -219431 + 219431 + 662*l. Calculate f(i(v)). 1314732*v**2 Let y(s) = 38*s**2 - 13*s**2 - 24*s**2. Let d(m) = 4*m + 34*m - 9*m. Calculate d(y(h)). 29*h**2 Let d(o) = -11*o + 2. Let b(k) = 147*k**2. Determine d(b(q)). -1617*q**2 + 2 Let i(m) = 8*m**2 + 45*m - 18. Let w be i(-6). Let j(r) be the first derivative of 9 + 1/2*r**2 + w*r. Let g(p) = -30*p**2. Calculate j(g(s)). -30*s**2 Let h(u) be the first derivative of 0*u + 29/2*u**2 - 29. Let w(t) = t. What is h(w(b))? 29*b Let i(t) be the third derivative of 7*t**5/120 + 11*t**3/6 - 5*t**2. Let o(x) be the first derivative of i(x). Let y(z) = -4*z + 0*z + z. Calculate o(y(l)). -21*l Let r(j) = 3*j - 7. Let c be (3/(-1) - -1) + 15. Let y = -6 + c. Let l(d) = -2*d + 4. Let z(g) = y*l(g) + 4*r(g). Let o(n) = 15*n. Give o(z(v)). -30*v Let q be 4/22 + (-1552)/(-176). Let o(r) = q*r - 25*r + 24*r. Let p(u) = -2*u. Let h(x) = -6*x. Let m(w) = 3*h(w) - 8*p(w). What is o(m(v))? -16*v Let c(k) = -2*k. Let f(q) = 3 - 4*q**2 - 16 + 13. What is f(c(x))? -16*x**2 Let s(u) be the first derivative of -u**5/6 - 14*u**3/3 - 18. Let h(x) be the third derivative of s(x). Let i(p) = -2*p**2. Calculate h(i(d)). 40*d**2 Let z(a) = -4*a. Let n = 9 - 4. Let l(h) = 2. Let g(w) = -w + 20 - 10 - 10 - 5. Let t(y) = n*l(y) + 2*g(y). Calculate t(z(f)). 8*f Let j(f) = 652*f - f**2 - 652*f. Let r(i) = -56*i + 5. Let w(g) = 55*g - 4. Let y(t) = 4*r(t) + 5*w(t). Determine j(y(v)). -2601*v**2 Let i(v) = 22*v. Let p be (0 - 6/(-15))/((-1)/(-5)). Let l(k) = 13*k**2 - 7*k**2 - 4*k**p. What is l(i(t))? 968*t**2 Let n(i) = -i. Let g(c) = -3*c**2 - 513*c - 33. Calculate g(n(w)). -3*w**2 + 513*w - 33 Let s(c) = 2*c + 4. Let k(a) = 5*a - 18. Let z(w) = -9*w + 33. Let m(f) = -11*k(f) - 6*z(f). Give s(m(d)). -2*d + 4 Let z(a) = -a**2 + 18*a + 21. Let h be z(19). Let c(u) = -14 + 6 - 4*u**h + 8. Let k(f) = -f**2. Determine k(c(q)). -16*q**4 Let a(n) be the first derivative of n**3/3 - 11*n + 9. Let r(b) be the first derivative of a(b). Let y(j) = 7*j**2. Give r(y(d)). 14*d**2 Let x be (2 - 2)/((-3)/(-3)). Let o(m) = m**2 + m**2 + x*m**2 - 3*m**2. Let n(w) = 25*w**2. What is o(n(v))? -625*v**4 Let j(q) = -4*q - 149147. Let o(m) = m. What is o(j(z))? -4*z - 149147 Let i(g) = g. Let b(a) = -2*a**2 - 209. Determine b(i(c)). -2*c**2 - 209 Let r(c) = -5 + 23 - c - 42 + 24. Let a(o) = -162*o**2 - o. Determine a(r(z)). -162*z**2 + z Let i(w) = 18*w**2. Let g(t) = 45*t**2 - 20*t - 20. Let l(c) = 2*c**2 - c - 1. Let f(q) = -3*g(q) + 60*l(q). Determine f(i(d)). -4860*d**4 Suppose -a - 7 + 2 = 0, 20 = 5*w - 2*a. Let s(u) = -4*u**2 + 8*u**2 - 3*u**2 - 3*u**w. Let c(v) = -3*v. Let i(d) = d. Let f(l) = -c(l) - 2*i(l). Give s(f(m)). -2*m**2 Let z(h) = 2*h**2 - 3014 + 3014. Let x(p) = 3*p**2 + 3. What is z(x(o))? 18*o**4 + 36*o**2 + 18 Let l(g) = -10*g**2. Let o(d) = -97*d + 188*d - 70*d - 58*d. What is l(o(b))? -13690*b**2 Let n(j) = 20*j**2. Let k(t) = 189*t - 145. What is k(n(b))? 3780*b**2 - 145 Let p = 3248 + -400. Let l(q) = -p + 2848 - 3*q**2. Let a(y) be the third derivative of y**5/30 - y**2. Give l(a(s)). -12*s**4 Let y(o) = 15*o + 2. Let m(f) = 46*f + 6. Let j(x) = m(x) - 3*y(x). Let z(v) be the second derivative of -15*v**3/2 - v. Give j(z(l)). -45*l Let q(c) = 12*c. Let s(l) = -4884*l. What is s(q(w))? -58608*w Let g(s) = -3*s**2. Let i(v) = -13*v + 4. Give g(i(p)). -507*p**2 + 312*p - 48 Let w(h) = 1428449*h**2. Let b(l) = 2*l**2. What is b(w(p))? 4080933091202*p**4 Let a(k) = k + 1. Let s be a(-1). Let p be 1 + -2 + (-95)/(-19). Let z(q) = q + s*q - p*q + q. Let c(u) = 2*u. Determine c(z(f)). -4*f Let y(n) be the first derivative of n**3/3 + 2*n**2 - 4*n - 9. Let c(h) = 6*h**2 + 27*h - 27. Let o(j) = -4*c(j) + 27*y(j). Let w(l) = 3*l**2. What is w(o(x))? 27*x**4 Let g(n) be the third derivative of n**4/8 - 10*n**2. Let h(z) = 14*z**2 - 9*z**2 - 12*z**2. Calculate h(g(j)). -63*j**2 Let u(i) = 33*i + 2. Let j(c) = -2*c**2 + 6. What is j(u(w))? -2178*w**2 - 264*w - 2 Let l(r) be the second derivative of -7*r**5/40 + 5*r**3/6 + 12*r. Let t(o) be the second derivative of l(o). Let u(q) = -q. Give u(t(a)). 21*a Let i(x) = 27*x**2. Suppose 21*a + 6 = 22*a. Let y(s) = s - a*s + 6*s + 0*s. Calculate y(i(u)). 27*u**2 Let o(f) = 6*f**2. Suppose 5*n + 4*n = 18. Let q(a) = -5*a - a**2 + 5*a + 4*a**n. Calculate q(o(x)). 108*x**4 Let m(n) = 3*n. Let z(b) = 19294*b. What is z(m(s))? 57882*s Let t(c) = -2390102*c. Let v(h) = 4*h. Determine t(v(n)). -9560408*n Let i(t) = -373*t**2. Let s(l) = 23*l. Give i(s(c)). -197317*c**2 Let u(f) = 385*f - 196. Let a(i) = 24*i - 12. Let m(k) = 98*a(k) - 6*u(k). Let v(d) = 3*d. What is m(v(s))? 126*s Let z(x) = -3*x**2. Let g(k) = 126*k**2 - 2*k - 9. What is g(z(q))? 1134*q**4 + 6*q**2 - 9 Let f(p) = 2*p - 61843. Let r(h) = h**2. Give f(r(a)). 2*a**2 - 61843 Let h(n) = -24*n**2 - 13*n. Let w(r) = -11*r**2 - 6*r. Let v(i) = -6*h(i) + 13*w(i). Let z(o) = -161*o. Determine v(z(g)). 25921*g**2
Find the third derivative of -645*m**3*n**2*z + 55571*m**3*n*z + 13*m**2*n + m**2*z - 2*m**2 - 2*m*n**2*z - n**2*z - 1066*n**2 + 14*n*z wrt m. -3870*n**2*z + 333426*n*z Find the second derivative of -66047542*j**2 - 491*j + 22521. -132095084 What is the first derivative of -90317*g*y + 90999931*g - 1855*y wrt y? -90317*g - 1855 Find the third derivative of -9414772*y**3 - 784*y**2 - 5098 wrt y. -56488632 What is the third derivative of 16458354*d**4*o**2 + 30*d**2 - 19*o**2 + 4034*o wrt d? 395000496*d*o**2 Differentiate -264584820*t**2 + 90149000 with respect to t. -529169640*t What is the third derivative of -a*i**3*n - 3681940*a*i**3 + 2*a*i**2*n + 2*a*i**2 - 2*a - 2*i**3 - 34*i*n + 13921*i wrt i? -6*a*n - 22091640*a - 12 What is the first derivative of 133013192*r + 11848389 wrt r? 133013192 Differentiate -10262818*i + 5496056 wrt i. -10262818 What is the second derivative of -5703034*y**4 - 21146334*y? -68436408*y**2 What is the derivative of 75474815*w**2 - 81737690? 150949630*w Find the first derivative of 18*b*o*v - 8*b*o - 2*b*v - 1864*b + 31279302*o*v wrt b. 18*o*v - 8*o - 2*v - 1864 Find the second derivative of -868*q**3 - 40711*q**2 + 3*q + 4719216. -5208*q - 81422 Find the third derivative of 166791*v*z**5 + 5*v*z**3 - v*z**2 - v*z + 806*v - 16*z**2 + 10 wrt z. 10007460*v*z**2 + 30*v What is the first derivative of -18*d**2*f*o**2 + 46533*d**2*f*o + f*o**2 - 13819060*f*o wrt d? -36*d*f*o**2 + 93066*d*f*o Find the third derivative of 67742429*m**5 + 54633626*m**2 wrt m. 4064545740*m**2 What is the third derivative of 7549*z**6 + 63*z**4 - 24*z**3 + 20004*z**2 - 9274*z - 1? 905880*z**3 + 1512*z - 144 Find the second derivative of 48375*c**5 + 179*c**4 + 3373653*c wrt c. 967500*c**3 + 2148*c**2 What is the first derivative of -31760196*y**2 + 30673916 wrt y? -63520392*y What is the derivative of 506593*i**3*t - 2*i**3 + 53*i*t + 2518*t - 4458 wrt i? 1519779*i**2*t - 6*i**2 + 53*t Find the third derivative of -5255476*t**6 + 21*t**4 + 1085699*t**2 - 17*t + 2. -630657120*t**3 + 504*t What is the second derivative of -423573901*u**2 + 3*u + 33498215? -847147802 What is the second derivative of -10157201*y**3 + 16967273*y wrt y? -60943206*y Find the first derivative of 15166578*o**4 + 14773537. 60666312*o**3 What is the derivative of -b**3 - 11*b**2 + 812203*b + 342636264? -3*b**2 - 22*b + 812203 What is the second derivative of -104766*m**4*y - 4*m**2*u*y - 4*m*u + m + 2*u*y - 1524*y + 7 wrt m? -1257192*m**2*y - 8*u*y What is the second derivative of 296921495*d**2*r - 4*d*r - 256*d - 143*r - 5 wrt d? 593842990*r What is the second derivative of -q**3 - 33647960*q**2 + 816*q - 78564? -6*q - 67295920 Find the third derivative of -23*n**4*y**2 - 201823*n**3*y - 7*n**3 + n**2*y**2 + 11*n**2*y + 2*n*y + 39*n - 2*y**2 - 598 wrt n. -552*n*y**2 - 1210938*y - 42 What is the third derivative of 4095966*v**5 + 5*v**4 - 2*v**2 + 575670*v + 6 wrt v? 245757960*v**2 + 120*v What is the third derivative of 8085*f**4 - f**3 - 8186092*f**2 wrt f? 194040*f - 6 Differentiate 2*a**4*t + 2*a*t + 91485*a - 99538*t - 18 with respect to a. 8*a**3*t + 2*t + 91485 Find the first derivative of -25538*g**3 - g**2 + 9274222. -76614*g**2 - 2*g Find the third derivative of 262818271*l**4 - 70*l**2 + 433*l - 431 wrt l. 6307638504*l What is the first derivative of 5160*n**2 - 37089*n - 154771152 wrt n? 10320*n - 37089 Find the second derivative of 348*o**5 - o**4 + 8173*o**3 + 150157*o. 6960*o**3 - 12*o**2 + 49038*o Find the second derivative of 362178303*a*w**3 - 267*a*w + 121*a + 2*w**4 + 585*w wrt w. 2173069818*a*w + 24*w**2 Differentiate 71794782*h**3*r - 4*h**3 - 67451*r - 547 wrt h. 215384346*h**2*r - 12*h**2 Find the third derivative of -144087*i**4*q - 2*i**4 - 5*i**3*q - 8*i**2*q + i**2 + 472*i + 127*q wrt i. -3458088*i*q - 48*i - 30*q What is the second derivative of 3*r**2*w**2 + r**2*w - 22*r**2 - 16168924*r*w**2 - 96*r*w + 33*r + w + 1 wrt w? 6*r**2 - 32337848*r Find the first derivative of 24*b*l**2 - 46560*b*l - 1420*l**2 - 3076*l - 3 wrt b. 24*l**2 - 46560*l Find the third derivative of -308*j**4 - 1110316*j**3 - 869616310*j**2. -7392*j - 6661896 Find the first derivative of -y**3 + 1278*y**2 + 8269*y - 865357586. -3*y**2 + 2556*y + 8269 Differentiate 7*f**2 + 1115047*f + 103622093 with respect to f. 14*f + 1115047 What is the second derivative of -9835439*z**5 - 2*z - 713697? -196708780*z**3 What is the third derivative of -105606190*y**3 + 45721*y**2 - 12*y + 18? -633637140 Differentiate -439317146*k*t - 110736381*k with respect to t. -439317146*k Find the third derivative of 907726181*s**3 - 5128*s**2 + 32*s + 23. 5446357086 Find the third derivative of w*y**3 + 10*w*y**2 - 2339*w + 8*y**4 + 60373*y**3 - 6 wrt y. 6*w + 192*y + 362238 Find the first derivative of 160957397*d + 134317881 wrt d. 160957397 Find the third derivative of -78036*n**3*r**4 - 12*n**3 + n**2*r**2 - 44*n*r**4 + 6119*n*r**2 + 3*r**2 wrt r. -1872864*n**3*r - 1056*n*r Find the second derivative of -243874*p**4 - 379*p**3 - 120420*p - 499 wrt p. -2926488*p**2 - 2274*p What is the second derivative of 55*s*x**4 + 8145*s*x + 7*s - 1802280*x**4 - 807*x wrt x? 660*s*x**2 - 21627360*x**2 Find the third derivative of -161*y**5 + 66*y**4 - 20*y**3 + 15728*y**2 - y - 55. -9660*y**2 + 1584*y - 120 Find the second derivative of -73*i**2*m + 285946*i**2*q**3 - 10*i*m*q**3 + 30*i + 91*m + 152*q**2 wrt i. -146*m + 571892*q**3 Find the second derivative of 360*c**3*q + 3563*c**2*q - 4*c*q + 3810*c - 3*q + 6 wrt c. 2160*c*q + 7126*q Find the second derivative of 248467476*i**2 - 1541*i - 11715 wrt i. 496934952 What is the second derivative of -3*h**4 - 4*h**3 - 9420724*h**2 - 31620925*h wrt h? -36*h**2 - 24*h - 18841448 What is the third derivative of -2916*t**4 - 1945*t**3 + 40*t**2 + 267*t + 2 wrt t? -69984*t - 11670 What is the third derivative of -223667808*o*x**3 + 10*o*x**2 + 2*x**3 - 2046876*x**2 wrt x? -1342006848*o + 12 Find the second derivative of -654*m**5 - 1377*m**4 - m**2 + 578*m + 3380 wrt m. -13080*m**3 - 16524*m**2 - 2 What is the derivative of 40642623*j + 6284621? 40642623 Find the second derivative of -2776654*j**5 + 50401*j + 164 wrt j. -55533080*j**3 What is the second derivative of -325876947*w**2 - 7*w + 941525? -651753894 What is the third derivative of 48227*p**2*s**3 - 3*p**2*s**2 - 30*p**2*s + 118*p**2 + p*s**3 - 4*p*s**2 - 369*s**3 + 2*s**2 - 8*s wrt s? 289362*p**2 + 6*p - 2214 Find the second derivative of -1348425*b**3*g**2 + 54*b**3*g + 344045*b**3 + b + 47*g**2 wrt g. -2696850*b**3 + 94 What is the first derivative of -4*n**2 - 381307*n + 30849206 wrt n? -8*n - 381307 Differentiate 733460*h**4 - 5*h + 135067248 wrt h. 2933840*h**3 - 5 What is the third derivative of 673415461*y**3 + 454579796*y**2 wrt y? 4040492766 Find the second derivative of -4*f**2*j**2*r + 1238357*f**2*j*r**2 - 551*f*j**2*r**2 - f*j**2*r + f*j + 3*f*r + 7*j**2 - 7*j*r wrt f. -8*j**2*r + 2476714*j*r**2 Find the third derivative of -103916432*d**3*n - d**3 + 113*d**2 + 31*d - 8425*n wrt d. -623498592*n - 6 What is the second derivative of 3858026*p**5 + 2*p**4 - p**2 + 77859005*p wrt p? 77160520*p**3 + 24*p**2 - 2 What is the first derivative of 26*c*y*z + c*z + 15125*c - 233917*y*z - 281*z wrt y? 26*c*z - 233917*z What is the second derivative of 102084833*j**2 + 47634571*j wrt j? 204169666 Find the third derivative of -136081091*k**6 + 80319218*k**2 wrt k. -16329730920*k**3 What is the derivative of 10277045*g**2*t*x + 12*g**2*t + 4911*g**2 - 3*t*x + 13*t - 1 wrt x? 10277045*g**2*t - 3*t Differentiate 297275*r**4 + 402*r**2 + 159422378. 1189100*r**3 + 804*r What is the second derivative of 676719*q**5 + 4*q**3 + 61*q**2 - 424571226*q wrt q? 13534380*q**3 + 24*q + 122 What is the second derivative of 14*m**2*v**3 - 115*m**2*v**2 + m**2*v + 130*m**2 + 1737*m*v**3 - 1016*m*v**2 wrt m? 28*v**3 - 230*v**2 + 2*v + 260 What is the second derivative of 1014448386*n**4 - 339596962*n wrt n? 12173380632*n**2 Find the third derivative of -22522831*m**3 + 4258*m**2 + 19112 wrt m. -135136986 Find the first derivative of -2054*k*l**2 + 2561*k*l - k + 31373*l**2 + 11*l + 379 wrt k. -2054*l**2 + 2561*l - 1 What is the second derivative of -1632619*r**5 - 19*r**2 + 69914199*r wrt r? -32652380*r**3 - 38 Differentiate 3*z**4 + 18*z**3 + 49*z**2 - 2*z - 5327618 with respect to z. 12*z**3 + 54*z**2 + 98*z - 2 What is the derivative of j**2*r + 510*j**2 - j*r + 920*j + 4639218*r + 80 wrt r? j**2 - j + 4639218
Let b(g) = -g**3 - 6*g**2 - 4*g - 3. Let h(a) = -15*a + 72. Let i(f) = -5*f + 24. Let l(w) = -3*h(w) + 8*i(w). Let z be l(4). What is b(z)? -19 Let q(j) = j**3 + 5*j**2 - 7*j - 5. Suppose 3*n - 50*u + 52*u = -23, 2*n + 4*u + 18 = 0. Determine q(n). -54 Let q(i) = 2 + 4 - 10 + 5 + 2*i. Suppose -5*f - 3*w + 35 = 0, -w = 2*f - 4*f + 3. Determine q(f). 9 Let y = -4 + 8. Let n(b) be the second derivative of -b**7/2520 + b**6/144 - b**5/40 + 3*b**4/4 - 4*b. Let s(p) be the third derivative of n(p). Calculate s(y). 1 Let q be (-3 - 10/(-3))*-6. Let y(k) = -k**3 - 6*k**2 - 2*k + 5. Let o(w) = w**2 - 1. Let n(l) = -6*o(l) - y(l). Determine n(q). -11 Let r be (-1)/9*-9*(1 - -2). Let j(k) = -5*k**2 + 5*k + 1. Let c(q) = -11*q**2 + 11*q + 3. Let b(i) = 4*c(i) - 9*j(i). Give b(r). 9 Let q(k) = -k - 9. Let g(h) = -2*h - 21. Let l(m) = -4*g(m) + 9*q(m). Calculate l(4). -1 Let f(w) be the third derivative of w**4/12 + w**3/6 - 54*w**2. Let l be 1/2*(-2)/(-1). Give f(l). 3 Suppose 14*q = 12*q + 10. Suppose 0*u - u = -2*v, -5*v - 15 = q*u. Let s(r) = -8*r**2 - 3*r - 1. Give s(u). -27 Let s(l) = -5*l + 7. Suppose -q + 9 = x, q + 5 = 3*x - 6. Suppose -x*v + 10*v = 25. Calculate s(v). -18 Suppose 18 = 6*f + 48. Let p(i) = i**2 + 4*i - 1. What is p(f)? 4 Let l(z) = -z**3 - 13*z**2 + 13*z + 5. Suppose 0 = -34*x + 299 - 775. Give l(x). 19 Let k be 6/(-12) - 7/(-2). Let r(b) = -k*b**2 + 4*b - 10 + 2*b**2 - 2*b + 9. What is r(2)? -1 Suppose 14*t = 19*t + 15. Let v = -3 + t. Let i be (-1)/(-3) + (-4)/v. Let d(l) = 10*l - 1. Determine d(i). 9 Let i(b) = 8*b**3 - 2*b + 1. Let w(j) = 194 - j**2 + 2*j**2 - 24*j - 218. Let k be w(25). Calculate i(k). 7 Let b(o) = -2*o**2 - 2*o + 7. Suppose -5*y - 2 = -6*y. Give b(y). -5 Let g(l) be the second derivative of -l**5/20 - 13*l**4/12 - 3*l**3/2 - l**2 + 54*l. Calculate g(-12). -38 Let o(j) = 3*j**2 + 6*j + 1. Let c be o(-4). Let l(z) = -26*z**2 - 6 + 6*z + c*z**2 + 1. Let y = -5 + 9. Calculate l(y). 3 Let r(y) = y**3 - 20*y**2 + 28*y - 166. Let d be r(19). Let m(o) = 7*o - 38. Give m(d). -3 Let y(c) = -6*c + 1. Let s be y(-1). Let b(u) = -u**3 + 8*u**2 - 8*u + 7. Let x be b(s). Let k(t) = -t**3 + t**2 + t - 13. What is k(x)? -13 Let j be 108/9*1*(-1)/(-3). Let y(s) be the first derivative of s + 1/2*s**2 + j + 5/3*s**3. What is y(-1)? 5 Suppose 0 = 4*t - 16, -r + 0*r - 10 = -t. Let b(n) = -n**3 - n**2 - n. Let p(q) = -4*q**3 - 4*q**2 - 7*q - 1. Let c(d) = r*b(d) + p(d). Calculate c(-2). -7 Let q(g) be the third derivative of -g**6/120 - g**5/12 + g**4/8 + g**3/3 + 2*g**2. Let z be (0 - 12)*(-9)/12. Let s be (-30)/z*(-6)/(-4). What is q(s)? -13 Suppose n = -2*w, -5*n - 5 = 5*w - 0*n. Let f be (-10)/(-5)*w/(-2). Let c(g) = 32*g**3 - g. Give c(f). -31 Let z be (3 - 3)/1*1. Suppose 44 = 4*v - z. Suppose -10*u = -v*u - 2. Let c(o) = -2*o - 2. Give c(u). 2 Let t(b) = 4*b**3 + 31*b**2 - b + 70. Let a be t(-8). Let n(v) = -v**3 + 13*v**2 + 11*v + 6. What is n(a)? -36 Let c(o) be the first derivative of o**2/2 - 2*o + 1. Let d(h) = -h**3 - h**2 - 6. Let t be d(0). Let k be ((-6)/2)/(t + 5). Give c(k). 1 Let l(n) = 3*n**2 + 11*n - 5. Let z(v) = 16*v**2 + 56*v - 26. Let r(u) = -11*l(u) + 2*z(u). Determine r(-9). 3 Let x(i) = i**3 + 14*i**2 + 14*i + 11. Let k = 91 - 104. Determine x(k). -2 Let s(g) = -4*g**2 + 7*g - 7. Let z(n) = -n**2 + 2*n - 2. Let y(r) = -2*s(r) + 7*z(r). Suppose -4 = k + 3*b - 6*b, -4*b + 10 = k. Determine y(k). 4 Let g(p) be the third derivative of p**4/24 - 2*p**3/3 + 10*p**2 + p. Calculate g(-13). -17 Let m(z) = 2*z + 7. Suppose 2*q = -i - 7, -12*i + 7*i - 47 = -2*q. What is m(i)? -11 Suppose -2*b - 48 - 2 = 0. Let u = 22 + b. Let h(d) = 4*d + 1. Let t(a) = -4*a - 1. Let r(p) = 5*h(p) + 6*t(p). Calculate r(u). 11 Let p(w) = 1. Let z(h) = 2*h**3 + 32*h**2 - h - 17. Let c be z(-16). Let u(i) = i + 7. Let m(n) = c*u(n) + 3*p(n). Determine m(5). -9 Let i be (-9)/(-7) - 408/1428. Let q(n) = 1 + 3*n**2 - 2 - 2*n**2 - n**3. Calculate q(i). -1 Let d(o) = o - 6. Let z be d(0). Let l(j) = -j**3 - 5*j**2 + 8*j + 6. Calculate l(z). -6 Let a(p) = 260*p + 2 + 2 - 261*p. Let m be ((-10)/6)/((-2)/6). Determine a(m). -1 Let j(t) be the second derivative of 2*t**3/3 - t**2 - 2*t + 26. Give j(-6). -26 Let m(p) = -13 + 2 + 41*p - 40*p. Calculate m(10). -1 Suppose -3*g = -0*g + 3. Let c be 4/(2*g/(-6)). Suppose 2*t = 3*p + c, 0 = -t - 0*p - 2*p + 6. Let x(b) = -b + 2. Give x(t). -4 Let y be 81/(-6)*2/3. Let w(r) = 11 + r**2 + r - 9*r + 2 - 2*r**2. What is w(y)? 4 Let p(u) = 2 - 22*u**2 + 16*u**2 + 4*u**3 - 7*u + 8*u**2. Let g(c) = c**3 - c**2 - 1. Let r(s) = -5*g(s) + p(s). Calculate r(6). 1 Let a be (72/126)/(2/7). Let q(n) = 3*n - 20 + 5 - 4*n + a. Determine q(-12). -1 Let r(b) be the third derivative of -b**7/2520 - b**6/144 + b**5/120 + b**4/2 - 5*b**2. Let k(o) be the second derivative of r(o). Give k(-5). 1 Let o be 2*(-1)/2 + 19. Suppose 4*f - f = o. Let i(l) = 2*l**2 + l - 9. Let h(c) = -c**2 + 2*c. Let z(m) = -3*h(m) - i(m). Give z(f). 3 Let k be -2 + 8 + (0 - 1). Let b(u) = 3*u**3 - 13*u**2 + 7*u. Let v(f) = -f**3 + 6*f**2 - 3*f. Let g(l) = k*v(l) + 2*b(l). Determine g(-4). 4 Let b(u) be the first derivative of -u**2/2 + 19*u - 98. Determine b(16). 3 Let w be (1 + 0)/(1 - 2). Let p(l) = 4. Let v(a) = 2*a + 7. Let n(t) = 5*p(t) - 3*v(t). Give n(w). 5 Let s(a) = a**3 - a**2 + 7. Suppose -211*i + 193*i = 0. Give s(i). 7 Suppose -2*s + 3*l = -2*l + 35, -3*s = -6*l + 45. Let t(c) = -3 - c**2 + 2 - 7*c - 5. Determine t(s). 4 Let t(d) = -2*d**3 + 16*d**2 - d + 8. Let p(j) = 8*j**2 - 21*j + 21. Let v be p(1). What is t(v)? 0 Suppose 4*v = -m - 17, -6*v - 15 = -v. Let s(n) = -7*n. Give s(m). 35 Let w be 36/(-9) + (-16)/(-2). Suppose 3*m - 4*z + 0*z = -4, -1 = w*m - z. Let b(d) = d - 6. What is b(m)? -6 Let x(f) be the first derivative of -f**4/4 - f**3/3 + 3*f**2/2 + 3*f - 183. Calculate x(0). 3 Let j(w) = 5*w**3 + w - 8. Let z(b) be the first derivative of -b**4/4 - 6. Let f(i) = -j(i) - 4*z(i). Give f(0). 8 Suppose 0 = -9*a - 178 + 214. Let d(j) be the third derivative of 1/120*j**6 + 5/3*j**3 - 6*j**2 + 0*j + 0 - 2/15*j**5 - 5/12*j**a. What is d(9)? 1 Let k(w) be the first derivative of w**6/120 - w**5/120 + 2*w**3/3 + 47. Let b(x) be the third derivative of k(x). Calculate b(-2). 14 Let f(z) = z**3 + 5*z. Let x(k) = k**2 - k - 1. Let c(p) = f(p) + 5*x(p). Let w = 45 + -75. Let j = w - -25. What is c(j)? -5 Let m(z) be the second derivative of 1/6*z**3 + 1/2*z**2 + 0 - 2/3*z**4 - 16*z. Suppose 0 = 3*c + 3. Give m(c). -8 Let r(u) = u**2 - 3*u - 11. Let y(s) = -5*s - 9. Let a(x) = -2*r(x) + 3*y(x). What is a(-6)? -23 Let s(z) be the third derivative of -1/2*z**3 + 0 + 0*z + 7*z**2 - 1/30*z**5 - 1/6*z**4. Give s(-3). -9 Let s(l) = -5*l**3 + 17*l**2 + 32*l + 20. Let r(v) = 18*v**3 - 52*v**2 - 98*v - 59. Let k(p) = 2*r(p) + 7*s(p). Give k(-13). -4 Suppose 0*d - 2*d - 4*g = -162, -75 = -d - 4*g. Let a = d + -82. Let f(r) = -3*r + 4. Give f(a). -11 Suppose 57*p - 52*p - 550 = 0. Let r(k) = p*k - 48*k - 55*k - 4. Calculate r(4). 24 Let o(w) = w**3 - w**2 - 2*w - 1. Let h(b) be the second derivative of b**3/6 + 9*b**2/2 + 5*b. Let l be h(-12). Let x = l + 5. Determine o(x). -1 Let v = -3 + -8. Let d be (24/2)/(13 + v). Let f(s) be the first derivative of -s**3/3 + 7*s**2/2 - s - 4. What is f(d)? 5 Let v(b) = -b**3 - 5*b**2 - 107. Let d be v(-7). Let k(c) = -c**3 - 10*c**2 - 8*c + 6. Give k(d). -3 Suppose b - 5*b = -28. Let g = b - -2. Suppose -6*v + g*v = 12. Let t(n) = n - 5. What is t(v)? -1 Let k(y) = -2*y**2 - 10*y + 13. Let j(n) = 7*n - 30*n + 7 + 11*n - n**2 + 7*n. Let m(g) = -11*j(g) + 6*k(g). Calculate m(-7). -13 Let x(z) = 8*z**2 - z + 1. Let i be x(1). Suppose -d - 35 = -i*d. Let o(a) = a - 1. Calculate o(d). 4 Let i(b) = b**3 + 7*b**2 - 4*b + 1. Let q(l) = 3*l**3 + 14*l**2 - 24*l - 5. Let h be q(-6). Give i(h). 71 Let m(l) = l**2 - 5*l + 10. Let d = 43 - 36. What is m(d)? 24 Let n be (96/120)/((-4)/(-30)). Let m(z) be the third derivative of 1/2*z**3 - 1/60*z**5 + 0 + 3*z**2 + 0*z + 7/24*z**4. Give m(n). 9 Let j(l) = 77*l - 75*l + 3 - 5. Let m(h) = -h**2 - 6*h + 3. Let o be m(-5). Let z(b) = -6*b + 7. Let v(u) = o*j(u) + 3*z(u). Calculate v(5). -5 Let u be 1/10*4*25. Let q be (u/(-6))/(3/(-9)). Let t(y) = -y - 3 + 0 + q. Give t(1). 1 Let f be (1 - (0 + -2))/(2/2). Suppose f*z - 4*w + 24 = 7*z, 0 = -2*z + 4*w + 18. Let j(r) = r**2 - 9*r - 1. Determine j(z). -15 Let n = 1 + -2. Let p(l) = -6*l + 26 - 32 - 3*l**2 + 2*l**2. Let w(u) = -2*u**2 - 13*u - 13. Let b(f) = -13*p(f) + 6*w(f). Calculate b(n). 1
Let c(u) = 19*u - 11. Let l(n) = 7*n - 4. Let z(k) = -3*c(k) + 8*l(k). Let v(h) = 4*h - 3. Determine -6*v(j) - 22*z(j). -2*j - 4 Let j(k) = 29*k - 11. Let o(y) = 10*y - 4. Determine -6*j(z) + 17*o(z). -4*z - 2 Let q = -7 - -4. Let w = -5 - q. Let z(l) = 4*l**3 - 2*l - l**2 - 1 - 2*l**2 + 0*l. Let v(j) = j**3 - j**2 - j. What is w*v(a) + z(a)? 2*a**3 - a**2 - 1 Let l(j) = -36*j**3 + 28. Let q(y) = -y**2 - 11*y - 16. Let h be q(-12). Let w(x) = -4*x**3 + 3. Determine h*w(s) + 3*l(s). 4*s**3 Let q(x) = -6*x**3 + 7*x**2 - 7. Let r(b) = 2*b**3 - 2*b**2 + 2. Give 2*q(d) + 7*r(d). 2*d**3 Let b(h) = 1. Let q(a) = -7*a - 3. Let c(o) = -15*o - 6. Let k(t) = -4*c(t) + 9*q(t). What is -3*b(f) - k(f)? 3*f Let p(l) = 13*l**2 + 3*l. Let v(y) = 90*y**2 + 20*y. Calculate 20*p(j) - 3*v(j). -10*j**2 Let o(t) = -5*t**2 + 13*t - 29. Let v(h) = -h**2 + 3*h - 7. Give 2*o(u) - 9*v(u). -u**2 - u + 5 Let x = 50 - 45. Let a(l) = 2*l + 4. Let m(s) = -2*s - 3. Determine x*a(y) + 6*m(y). -2*y + 2 Let m(k) be the first derivative of k**3/3 + k**2/2 + k + 6. Let x(r) = -r - 1. Suppose 0 = 2*h - 2 - 0. Determine h*m(q) + x(q). q**2 Let i(u) = -u**3 - 3*u**2 - u - 2. Let m be i(-3). Let s(c) = -c + 1. Let t be (-2)/8 - 42/(-8). Let f(o) = -t - 4*o + 1 - o**2 + 6. Give m*f(y) - 4*s(y). -y**2 - 2 Let c(q) = q**2 + 2*q - 2. Suppose -8 = v + 2*w - 1, 5*v = -4*w - 5. Let k = v - 3. Let d(g) = g - 2 + 0 + 1 + k. Determine c(r) - 2*d(r). r**2 Let b(o) = 2*o**2 + 19*o - 2. Let j(l) = l**3 - 3*l**2 - 19*l + 2. Give -3*b(c) - 2*j(c). -2*c**3 - 19*c + 2 Let u(k) = -9*k**2 - 2. Let j(v) = 360*v**2 + 81. Calculate -2*j(b) - 81*u(b). 9*b**2 Let b(g) = g - 2. Let r(j) = -15*j + 33. Let w(c) = -66*b(c) - 4*r(c). Let t(p) = -5*p. Give -3*t(z) + 2*w(z). 3*z Let u(f) = f**2 + 5*f. Let w be 0 + 18/(3/(-1)). Let c = 11 + w. Let l(i) = i. Give c*l(v) - u(v). -v**2 Let q(v) = v - 1. Let y(x) = -9. Let g = -6 + 0. Let b(h) be the first derivative of -5*h - 1. Let k(u) = g*y(u) + 11*b(u). Calculate k(a) - q(a). -a Let d(c) = -6*c**3 - 2*c**2 - 4*c - 4. Let x(u) = -u**2 - u - 1. Determine d(f) - 4*x(f). -6*f**3 + 2*f**2 Let u(x) = -4*x - 5. Let s(m) = -m. Let y be s(6). Let p(i) = i + 1 + 4*i + 5. Let l(q) = -3*q + 7. Let d be l(4). Give d*p(n) + y*u(n). -n Let s(q) = q + 2. Let d(l) = -l - 1. Calculate -6*d(u) - 5*s(u). u - 4 Let v(r) = 2*r**3 - 2*r**2 + 5*r - 1. Let n(s) = s**2 - s + 1. Calculate -2*n(i) - v(i). -2*i**3 - 3*i - 1 Let f(u) = u + 5. Let q(j) = 1. Let h = -14 - -16. Suppose 1 = -5*d - 2*n, -n + 3 = -h*d - 1. Give d*f(k) + 5*q(k). -k Let j(n) = n. Let d(r) = 19*r**2 + 6*r. Determine d(y) - 6*j(y). 19*y**2 Let m be -2 - 64/(-36) - (-43)/(-9). Let k(n) = -2*n**2 + 5*n + 6. Let o(b) = b + 1. Determine m*o(h) + k(h). -2*h**2 + 1 Let f(y) = 6*y + 5. Let j(u) be the first derivative of 5*u**2/2 + 4*u - 1. Suppose -v + 3 = -0*v. Let w be 1*(-4)/(-6)*-6. Give v*f(o) + w*j(o). -2*o - 1 Let x(p) = -49*p - 4. Let n(l) = -981*l - 81. Calculate 4*n(f) - 81*x(f). 45*f Let r(l) = 6*l + 1. Let b(c) = 23*c + 4. Determine 2*b(x) - 9*r(x). -8*x - 1 Let u(b) = -24*b**2 + 7*b + 9. Let a(s) = -23*s**2 + 6*s + 8. Give 7*a(w) - 6*u(w). -17*w**2 + 2 Let q(i) = -7*i**2 + 5*i. Suppose -10 = -4*m + 26. Let z be m/6*22/3. Suppose z = 5*t + 1. Let b(j) = -3*j**2 + 2*j. Calculate t*q(a) - 5*b(a). a**2 Let l = -1 + 6. Let p(j) = -j + 4. Let a be ((-12)/(-4))/((-2)/2). Let n(m) = -2*m + 7. Give a*n(k) + l*p(k). k - 1 Suppose -3 + 12 = 3*m. Let g(a) = -a**3 - 5*a**2 + 14*a - 6. Let s be g(-7). Let z(x) = -x**3 + 2*x - 2. Let u(d) = d - 1. What is m*z(w) + s*u(w)? -3*w**3 Suppose 7*h = 5*h + 2*f - 14, 4*f = 3*h + 21. Let c(x) = -5*x - 2. Let a(w) = 15*w + 7. Give h*c(n) - 2*a(n). 5*n Let s(w) = -13*w**2 + 4*w**2 + 21*w - 26*w. Let r(x) = 4*x**2 + 2*x. What is -5*r(v) - 2*s(v)? -2*v**2 Let t(d) = 45*d**3 - 18*d**2 + 18*d - 18. Let b(y) = y**3 - y**2 + y - 1. What is -54*b(h) + 3*t(h)? 81*h**3 Let q(l) = 7*l**2. Let p(t) = 2*t**2. Suppose -76 = 5*v - v. Let i = 41 + v. Determine i*p(g) - 6*q(g). 2*g**2 Let h(z) = z**2 + 1. Let o(c) = -4*c**2 - c - 3. Determine 3*h(a) + o(a). -a**2 - a Let z(t) = 5*t**3 + 0 + 3 + 8*t**2 + 8*t - 4. Let v(b) = -3*b**3 - 5*b**2 - 5*b + 1. Let a(m) = 8*v(m) + 5*z(m). Let l(p) = -p**3 - 4. What is -4*a(f) - 3*l(f)? -f**3 Let f(d) = -6*d**3 + 5*d**2 - 8*d + 8*d**3 - 6*d**3 + 3*d**2 + 8. Let u(w) = w**2 - w + 1. Calculate -f(a) + 8*u(a). 4*a**3 Let t(n) = n + 2. Let z be t(-7). Let q(o) = -2*o**2 - 5. Let p(l) = l**2 + 4. Give z*p(r) - 4*q(r). 3*r**2 Let t(n) = n**3 + 2*n**2 + 2. Suppose -a + 12 = -z + 6*z, 0 = 4*z - 8. Let c(r) = r**2 + 2*r**3 - 3*r**3 + 2*r**3. What is a*c(p) - t(p)? p**3 - 2 Let x(j) = -j - 15. Let a(n) = -2*n - 16. Calculate -2*a(k) + 3*x(k). k - 13 Let s(d) = 4*d + 1. Let r(h) = -9*h - 2. Let f be 14/(-119) - (-100)/(-17). Let k be 2/(-2) + 1 + f. Calculate k*r(q) - 14*s(q). -2*q - 2 Let v(c) = 5*c**2 - 7*c. Let z(d) be the second derivative of d**4/6 - d**3/2 + 30*d. Give 6*v(a) - 14*z(a). 2*a**2 Let u be 1 + -2 - (3 - 1). Suppose -5*w + 0 + 20 = 0. Let z(o) = 2 + 2 - 9*o + w*o. Let g(k) = -k + 1. What is u*g(v) + z(v)? -2*v + 1 Let q(i) = -13*i**2 + 3*i. Let h(s) = -13*s**2 + 4*s. Calculate 3*h(o) - 4*q(o). 13*o**2 Let x(t) = 7*t + 4. Let b(l) = 3*l + 2. Let r(i) = i**3 - 4*i**2 - 3*i - 5. Let p be (-10)/4*(-1 - 1). Let w be r(p). Determine w*b(j) - 2*x(j). j + 2 Let n be 2*14*1/4. Let i(t) = -9*t**2 + 9*t - 5. Let f(y) = 5*y**2 - 5*y + 3. Let z = 33 + -29. Calculate n*f(v) + z*i(v). -v**2 + v + 1 Let j(f) = -207*f**3 - 12*f**2 - 12*f. Let l(c) = 83*c**3 + 5*c**2 + 5*c. What is -5*j(h) - 12*l(h)? 39*h**3 Let r(a) = 2*a**2 + 1. Suppose -2*y = -p - 5*y - 9, 0 = 5*p - 3*y + 9. Let n(f) = -4*f**2 - 2. What is p*n(x) - 5*r(x)? 2*x**2 + 1 Let l(z) = z**3 + 6. Let x(d) = -2*d**3 - 5. Calculate 5*l(a) + 6*x(a). -7*a**3 Let z(l) = 5*l - 5. Let j(v) = -14*v + 14. Let p(b) = 7*b**2 - 2*b + 1. Let w be p(1). Determine w*j(g) + 17*z(g). g - 1 Let r(a) = -14*a**2 - 14*a + 21. Let u(y) = 9*y**2 + 9*y - 14. What is 5*r(q) + 8*u(q)? 2*q**2 + 2*q - 7 Let y(g) = 28*g**3 - 6*g. Let r(c) = 867*c**3 - 187*c. Calculate -6*r(z) + 187*y(z). 34*z**3 Let n(y) = 14*y**3 - 5*y**2 - 3*y. Let k(z) = 5*z**3 - 2*z**2 - z. What is -17*k(t) + 6*n(t)? -t**3 + 4*t**2 - t Suppose 3*f + 4 = -5. Let c(m) = m**2 - 4. Let o(z) = 6*z**2 - 20. Determine f*o(k) + 16*c(k). -2*k**2 - 4 Let z(o) = 13*o**2 - 4*o + 4. Let b(d) = 377*d**2 - 117*d + 117. Give 4*b(a) - 117*z(a). -13*a**2 Let v(p) = -3*p + 4. Let l(q) = -q + 1. Let i = -80 + 74. Suppose 4*k + 10 = -2*y - 18, -4*y = 4*k + 48. Let f = y - i. Determine f*l(o) + v(o). o Let v(w) = 1. Let d be ((-11)/(-11) - (18 - 2)) + 0. Let r(q) = -q**2 - 5. Let t = -8 - -5. Give d*v(h) + t*r(h). 3*h**2 Let p(x) be the first derivative of -x**4/4 - x**3/3 - x**2/2 + 2. Let d(l) = 3*l + 5*l**2 + 0*l**2 + l + l + l**3. Give -d(a) - 3*p(a). 2*a**3 - 2*a**2 - 2*a Let y(t) = 6*t**2 + 11*t + 30. Let m(l) = 2*l**2 + 4*l + 10. What is 8*m(g) - 3*y(g)? -2*g**2 - g - 10 Let w(a) = 3*a**3 - 2*a + 4. Let n = -3 + -5. Let s(v) be the second derivative of -v**5/4 + v**3/2 - 3*v**2 - 25*v. What is n*w(b) - 5*s(b)? b**3 + b - 2 Let j(v) = 7*v**2 - 7*v - 5. Let q(l) = -20*l**2 + 20*l + 14. Suppose -2*g + 15 = g. Let f = 23 + -9. Give f*j(t) + g*q(t). -2*t**2 + 2*t Let r be 7/21*-2*(-18)/4. Let t(q) = -6*q**2 + 2*q + 3. Let b(v) = v**2 - 1. What is r*b(x) + t(x)? -3*x**2 + 2*x Let f = -25 - -24. Let m(i) = i**3 - i + 1. Let y(s) = -s**3 + 2*s**2 + 2*s - 2. What is f*y(n) - 2*m(n)? -n**3 - 2*n**2 Let b(s) = 2*s**2 - 12*s - 8. Let a be b(6). Let h(g) = -6*g**3 - 2*g**2 - 8*g + 5. Let c(r) = 2*r**3 + r**2 + 3*r - 2. Give a*c(u) - 3*h(u). 2*u**3 - 2*u**2 + 1 Let v(a) = -11*a**2 + 22*a - 4. Let h(u) = 17*u**2 - 34*u + 6. Let f(d) = 5*h(d) + 8*v(d). Let r(j) = 5*j**2 - 11*j + 4. What is 7*f(y) + 4*r(y)? -y**2 - 2*y + 2 Let d(t) = -4*t**2 + 3. Let x(k) = 0*k**2 + 2*k**2 - 7*k**2 + 4. Suppose 3*z = -15 + 3. What is z*d(n) + 3*x(n)? n**2 Let n(u) = 7*u + 6. Let c(q) be the third derivative of q**2 + 0*q - 1/24*q**4 - 1/6*q**3 + 0. Let b = -3 - -2. Calculate b*n(z) - 5*c(z). -2*z - 1 Let s(i) = -i + 3. Let q be s(6). Let n(d) = -d - 1. Let v(f) = -2*f**2 - 3*f - 3. Calculate q*n(x) + v(x). -2*x**2 Let p(g) = -10*g**3 - 5*g**2 - 9*g - 5. Let a(n) = -5*n**3 - 3*n**2 - 5*n - 3. Give 5*a(r) - 3*p(r). 5*r**3 + 2*r Let q(v) = 3*v**2 + 6*v. Let k(r) = 7*r**2 + 12*r + 1. Calculate 2*k(z) - 5*q(z). -z**2 - 6*z + 2
Round -14982 to the nearest 1000. -15000 Round 43240 to the nearest 10000. 40000 What is 628.4 rounded to the nearest ten? 630 What is 2091900 rounded to the nearest one hundred thousand? 2100000 Round 106520 to the nearest ten thousand. 110000 What is -0.001518 rounded to five decimal places? -0.00152 Round -0.03287 to 3 decimal places. -0.033 What is -90000 rounded to the nearest 100000? -100000 What is -32.071 rounded to one dp? -32.1 Round -0.0001291 to six dps. -0.000129 What is 0.000024941 rounded to seven decimal places? 0.0000249 What is -0.02118 rounded to 3 dps? -0.021 Round 201000 to the nearest 100000. 200000 Round -0.0000103259 to seven decimal places. -0.0000103 What is 53800 rounded to the nearest 10000? 50000 Round 0.00000152 to five decimal places. 0 Round -32180 to the nearest 1000. -32000 Round -176040 to the nearest one thousand. -176000 Round 0.000018369 to six decimal places. 0.000018 Round -0.02955 to 2 dps. -0.03 What is -0.000026483 rounded to six dps? -0.000026 What is 453600 rounded to the nearest 1000000? 0 What is 0.00011487 rounded to five dps? 0.00011 Round 372.53 to the nearest one hundred. 400 Round 0.00004203 to six decimal places. 0.000042 What is -0.0013464 rounded to 5 decimal places? -0.00135 What is -1119.84 rounded to the nearest ten? -1120 What is -127650 rounded to the nearest ten thousand? -130000 Round -0.0000051747 to six dps. -0.000005 What is -1.2683 rounded to 1 dp? -1.3 What is -217.1 rounded to the nearest 10? -220 What is -519.4 rounded to the nearest ten? -520 What is 0.004805 rounded to 4 dps? 0.0048 What is -0.00003931 rounded to five decimal places? -0.00004 Round -15150 to the nearest ten thousand. -20000 What is 4599800 rounded to the nearest one million? 5000000 Round -40900000 to the nearest 1000000. -41000000 What is 12160 rounded to the nearest 1000? 12000 What is 0.00000278 rounded to five dps? 0 What is 51963 rounded to the nearest one thousand? 52000 Round -469.81 to the nearest ten. -470 What is -4853400 rounded to the nearest one million? -5000000 Round 442990 to the nearest one thousand. 443000 Round -1980.18 to the nearest 100. -2000 Round 0.0000347 to five dps. 0.00003 Round -71180 to the nearest 10000. -70000 Round 0.005418 to 3 decimal places. 0.005 What is -19340 rounded to the nearest 1000? -19000 Round -0.010444 to three decimal places. -0.01 What is -1.6698 rounded to one decimal place? -1.7 Round -0.021717 to three dps. -0.022 Round -6.134 to the nearest 10. -10 Round -0.000000633 to 7 dps. -0.0000006 What is 3270.8 rounded to the nearest ten? 3270 Round -3230000 to the nearest 100000. -3200000 What is -0.000059 rounded to five dps? -0.00006 Round 184000 to the nearest 100000. 200000 Round 0.00000022505 to 7 decimal places. 0.0000002 Round 0.001054 to 5 decimal places. 0.00105 Round -9.829 to 1 dp. -9.8 Round 214340000 to the nearest 1000000. 214000000 What is -6.4586 rounded to 1 decimal place? -6.5 Round 0.00000824 to six dps. 0.000008 What is -165140 rounded to the nearest 10000? -170000 What is 0.0047572 rounded to 3 decimal places? 0.005 Round 2634800 to the nearest 100000. 2600000 What is 0.019234 rounded to four decimal places? 0.0192 What is 0.7116 rounded to 2 decimal places? 0.71 Round 0.0033813 to five decimal places. 0.00338 Round -16350 to the nearest one hundred. -16400 Round 1.7467 to one decimal place. 1.7 What is 284.09 rounded to the nearest ten? 280 What is -94.57 rounded to the nearest ten? -90 Round -0.00026166 to 5 dps. -0.00026 Round -316000 to the nearest 10000. -320000 Round -0.1489 to two decimal places. -0.15 What is -5200000 rounded to the nearest one million? -5000000 Round 0.0000939 to five dps. 0.00009 Round 0.0053177 to five decimal places. 0.00532 Round 11440 to the nearest 100. 11400 What is -335000 rounded to the nearest one million? 0 What is -152.43 rounded to the nearest 100? -200 What is -6.52 rounded to the nearest integer? -7 What is -898.8 rounded to the nearest 10? -900 What is -0.1502 rounded to 2 decimal places? -0.15 What is 0.33222 rounded to 2 decimal places? 0.33 What is 0.02034 rounded to 3 decimal places? 0.02 Round 517 to the nearest one hundred. 500 Round -0.0003265 to five dps. -0.00033 What is -0.00000543 rounded to 7 dps? -0.0000054 What is 17632000 rounded to the nearest one hundred thousand? 17600000 What is 0.002071 rounded to four decimal places? 0.0021 Round 0.000006686 to 6 decimal places. 0.000007 Round 0.00690196 to three decimal places. 0.007 What is 26481.4 rounded to the nearest 1000? 26000 What is -0.000508 rounded to three dps? -0.001 What is -5.752 rounded to 1 decimal place? -5.8 What is 5.4503 rounded to 2 decimal places? 5.45 What is 0.168 rounded to 1 dp? 0.2 Round 158960 to the nearest 10000. 160000 Round 0.2007 to the nearest ten. 0 Round -7720 to the nearest 1000. -8000 What is 0.0000066823 rounded to six decimal places? 0.000007 What is -391.3 rounded to the nearest 10? -390 Round 11.517 to zero dps. 12 What is 0.000001216 rounded to seven dps? 0.0000012 What is -6250000 rounded to the nearest one hundred thousand? -6300000 What is -0.00000287 rounded to six decimal places? -0.000003 What is -0.0628 rounded to two dps? -0.06 Round -1.52 to 0 dps. -2 What is -115360 rounded to the nearest ten thousand? -120000 What is 5303000 rounded to the nearest 100000? 5300000 What is 1336 rounded to the nearest 10? 1340 What is -864 rounded to the nearest 1000? -1000 What is -413 rounded to the nearest 10? -410 Round 1.201 to one dp. 1.2 What is 69226 rounded to the nearest ten thousand? 70000 What is -0.00002945 rounded to 6 decimal places? -0.000029 What is 35 rounded to the nearest one hundred? 0 Round -0.0000060604 to seven decimal places. -0.0000061 Round -0.000009686 to 7 decimal places. -0.0000097 What is 3.8 rounded to 1 decimal place? 3.8 What is 0.0000085935 rounded to six decimal places? 0.000009 What is -4016.1 rounded to the nearest ten? -4020 What is -36400 rounded to the nearest ten thousand? -40000 Round -0.0000364 to 5 dps. -0.00004 What is -13751400 rounded to the nearest one million? -14000000 Round 13633000 to the nearest 1000000. 14000000 Round 249 to the nearest one hundred. 200 What is 202970000 rounded to the nearest 1000000? 203000000 Round -0.000004409 to seven dps. -0.0000044 What is 0.016698 rounded to 3 dps? 0.017 Round -0.2063 to 2 decimal places. -0.21 Round -4334000 to the nearest one hundred thousand. -4300000 Round 0.9353 to 1 dp. 0.9 Round 303780000 to the nearest one million. 304000000 Round -6.918 to 1 decimal place. -6.9 What is -15833 rounded to the nearest 1000? -16000 Round -2235.9 to the nearest one hundred. -2200 Round 5.816 to one decimal place. 5.8 What is 0.024986 rounded to 4 dps? 0.025 What is -2709500 rounded to the nearest 1000000? -3000000 Round 0.00036571 to 5 dps. 0.00037 What is -0.000002128 rounded to 7 dps? -0.0000021 What is -236.353 rounded to the nearest 10? -240 Round -11.18 to 0 dps. -11 What is 0.0009054 rounded to four dps? 0.0009 What is -532700 rounded to the nearest ten thousand? -530000 Round -12.84 to the nearest ten. -10 Round -0.0956 to two decimal places. -0.1 What is 8180 rounded to the nearest one thousand? 8000 Round -0.0000000507 to seven decimal places. -0.0000001 What is 472.777 rounded to the nearest ten? 470 Round -0.3635 to 1 decimal place. -0.4 Round -1186300 to the nearest 1000. -1186000 What is -0.000050516 rounded to 6 dps? -0.000051 Round 217 to the nearest one hundred. 200 Round -0.0047875 to four decimal places. -0.0048 Round 920300 to the nearest 10000. 920000 Round -0.00000887 to 6 dps. -0.000009 Round 0.0000025053 to seven dps. 0.0000025 What is 3.69 rounded to 0 decimal places? 4 Round 0.78755 to three dps. 0.788 What is 0.0001189 rounded to five dps? 0.00012 What is 12.68 rounded to 0 decimal places? 13 What is -0.000045318 rounded to 6 dps? -0.000045 Round -21600 to the nearest 1000. -22000 Round 0.871 to two dps. 0.87 What is 0.0000018 rounded to seven dps? 0.0000018 What is 0.00000141 rounded to 6 decimal places? 0.000001 Round 0.014219 to two decimal places. 0.01 What is -9290 rounded to the nearest one thousand? -9000 What is 195590 rounded to the nearest one hundred thousand? 200000 Round -0.2047 to two decimal places. -0.2 Round -453.68 to the nearest one hundred. -500 What is 2.4753 rounded to 1 dp? 2.5 Round -4.288 to 1 dp. -4.3 Round 4.8678 to one decimal place. 4.9 What is -47960 rounded to the nearest 1000? -48000 What is 153910 rounded to the nearest one thousand? 154000 Round 5.3137 to the nearest integer. 5 Round 0.00093684 to four dps. 0.0009 Round -27100000 to the nearest one million. -27000000
Let z(u) = -u**3 + 12*u**2 + 30*u - 24. Let b be z(14). Suppose 3*q + b = -q. Let a(t) = t**2 - t - 1. Let k(c) = c**2 - 5*c - 6. Determine q*k(y) + 6*a(y). 5*y**2 - y Let d(h) = 3*h**2 - 3*h - 3. Let t(o) = -14*o - 4*o**2 + 23*o**2 - 7*o**2 + 21 + 4*o**2 - 35. Suppose 0*q + 2*q + 6 = 0. What is q*t(k) + 14*d(k)? -6*k**2 Suppose k = 6*a - 4*a + 9, -3*k = -4*a - 17. Let o(f) = -17*f**2 - 9*f. Let p(b) = -418*b - 408*b + 832*b + 11*b**2. Calculate a*o(s) - 8*p(s). -3*s**2 - 3*s Let c = -104 - -110. Let g(r) be the third derivative of 4*r**6/15 + 17*r**5/60 - 1076*r**2. Let o(b) = 11*b**3 + 6*b**2. What is c*g(p) - 17*o(p)? 5*p**3 Let o(u) = 18*u**2 - 3*u - 25. Let y(b) = -17*b**2 + 2*b + 31. What is 4*o(a) + 3*y(a)? 21*a**2 - 6*a - 7 Let x be (-135)/(-189) + (-4)/(-14). Suppose -25 = -8*c - x. Let n(v) = -v + 4. Let q(p) = 3. What is c*n(a) - 4*q(a)? -3*a Let x(c) = 43*c**3 + 10*c**2 - 22*c - 10. Let s(k) = 42*k**3 + 12*k**2 - 23*k - 12. Give -5*s(j) + 6*x(j). 48*j**3 - 17*j Let g(s) = -29*s**3 - 2*s**2 + 3*s. Let y(u) = 144*u**3 + 10*u**2 - 14*u. Let v(j) = -9*j**2 + 412*j - 312. Let x be v(45). Give x*y(w) + 14*g(w). 26*w**3 + 2*w**2 Let v(s) be the first derivative of s**3/3 + 5*s**2/2 + 2*s + 60839. Let n(r) = -2*r + 2 + 3*r - 3 - r**2. Determine -2*n(f) - v(f). f**2 - 7*f Let g(f) = f**3 + 2*f**2 + f - 1. Let d(o) = 13*o**3 + 14*o**2 + 4*o + 10. What is -d(y) + 7*g(y)? -6*y**3 + 3*y - 17 Let o(i) = 3326*i**2 - 5*i. Let d(t) = -3329*t**2 + 4*t. Determine 5*d(z) + 4*o(z). -3341*z**2 Let w(v) = 15*v**2 + 11*v - 106. Let j(k) = -8*k**2 - 6*k + 60. Let z(l) = -7*j(l) - 4*w(l). Let x(m) = -m**3 - 5*m**2 - m + 5. What is 4*x(u) - 5*z(u)? -4*u**3 + 6*u Let j(m) = -8*m**3 - 3*m**2 - 13*m - 15. Let v(g) = -7*g**3 - 4*g**2 - 13*g - 20. Give 4*j(o) - 3*v(o). -11*o**3 - 13*o Let f(w) = w + 7. Let y be f(-8). Let u(i) = i**3 - i**2 + i - 1. Let p be (0 - -11) + 254 + -267. Let k(z) = z**2 - 2*z + 5. Calculate p*u(o) + y*k(o). -2*o**3 + o**2 - 3 Let m(k) = -127*k**3 + 62*k**2 - 18*k. Let j(y) = 63*y**3 - 26*y**2 + 8*y. Calculate 9*j(p) + 4*m(p). 59*p**3 + 14*p**2 Let z be (-2)/(-2) + (-9)/(-9). Let w(q) = q - 5 + 7 + 2 + 2*q. Let k(j) = -7*j - 65. Let p(a) = -2*a - 15. Let h(b) = 2*k(b) - 9*p(b). What is z*h(i) - 3*w(i)? -i - 2 Let s(z) = 4*z**3 + 3*z**2. Let t(p) = 5*p**3 + 4*p**2. Let l = -96 + 85. Let c be (15 + 1)*(l/2 + 6). Let q be (2 - c - -4) + -4. Give q*s(a) + 5*t(a). a**3 + 2*a**2 Let j(n) = -2*n - 54. Let h(s) = -54*s - 2153. Let i be h(-40). Let g(a) = 5*a + 108. Calculate i*j(v) + 3*g(v). v - 54 Let x = -2 + -2. Suppose 8*u + k - 18 = 5*u, 20 = 2*u - 2*k. Let p(v) = u*v**2 - 3*v**2 + 33 + 2*v**3 - 37. Let l(s) = -s**2 + 1. Give x*l(t) - p(t). -2*t**3 Let h(b) = 4*b + 6. Let o(u) = -u**2 + 28. Suppose -9*l - 45 = -18*l. Let n be o(l). Let t(j) = 7 - 6*j + 2*j + n*j + 6*j. Calculate 6*h(q) - 5*t(q). -q + 1 Let q(w) = 3*w**3 - 7*w**2 - 19*w - 8. Let v(j) = -j**3 + 2*j**2 + 6*j + 3. Let f(s) = -s**3 + 21*s**2 - 16*s - 78. Let p be f(20). What is p*q(a) + 7*v(a)? -a**3 + 4*a + 5 Let b(a) = 13*a**2 - 37*a - 94. Let v(j) = -6*j**2 + 17*j + 47. Determine -4*b(u) - 9*v(u). 2*u**2 - 5*u - 47 Let u(a) = -121*a - 7. Let b(s) = 242*s + 16. Give 6*b(l) + 14*u(l). -242*l - 2 Let g(z) = z**3 + 65*z**2 - 75*z - 37. Let r(o) = -o**3 - 23*o**2 + 25*o + 13. What is -6*g(x) - 17*r(x)? 11*x**3 + x**2 + 25*x + 1 Let j(q) = -25*q. Suppose 2*w - 14 = 0, -86*k + w + 61 = -90*k. Let b(c) = 8*c. Give k*b(d) - 6*j(d). 14*d Let q(s) = 2*s**2 - 4*s - 1. Let w(n) = -2*n**3 - 23*n**2 - 26*n + 5. Calculate -7*q(k) + w(k). -2*k**3 - 37*k**2 + 2*k + 12 Let d(y) be the second derivative of y**3/6 - 3*y + 2. Suppose -4*h - 1 - 11 = 0. Let s be (h/(-4))/(5/40). Let l(j) = j. Determine s*d(c) - 3*l(c). 3*c Let b(d) = -2*d**3 - d**2 + 5. Suppose 5*r = 2*o + 3*r + 472, -3*r = 5*o + 1140. Let s = o - -228. Let f(t) = -t**3 - t**2 + 4. Give s*b(y) + 4*f(y). 2*y**3 - y**2 + 1 Suppose 0 = 4*u + 10 - 38. Let w(k) = 3*k + 4198*k**3 - 4196*k**3 - 3*k. Let j(s) = 3*s**3. What is u*w(r) - 3*j(r)? 5*r**3 Let p(w) = w**2 + 5*w. Suppose 2384 = 16*h - 8*h. Let t = 295 - h. Let x(g) = -g**2 - 3*g. What is t*p(o) - 5*x(o)? 2*o**2 Let c(z) be the first derivative of z**2/2 + z + 93. Let l(h) = 9*h - 6. Let b(o) = 27*o - 22. Let q(p) = 2*b(p) - 7*l(p). Calculate 2*c(d) + q(d). -7*d Let c(r) = -19122*r. Let b(l) = 38182*l. What is 6*b(f) + 11*c(f)? 18750*f Let a(g) = 2*g - 43. Let d(r) = 83*r - 5 - 123 + 99*r + 78*r - 254*r. What is 11*a(k) - 4*d(k)? -2*k + 39 Let b(t) = -7*t**2 - 38*t + 4. Let s(n) = 2*n**2 + n + 2. Calculate b(q) - 3*s(q). -13*q**2 - 41*q - 2 Let a(k) = k - 4655. Let t(b) = -4*b + 13960. What is 7*a(n) + 2*t(n)? -n - 4665 Let s(a) = -49*a**3 + 27*a**2 - 4*a + 6. Let g(o) = -147*o**3 + 76*o**2 - 11*o + 17. What is -6*g(d) + 17*s(d)? 49*d**3 + 3*d**2 - 2*d Let w(i) = -14*i**3 - 4*i**2 + 6*i - 5. Let g(y) be the first derivative of -y**3/3 + y**2/2 - y + 485. What is 6*g(v) - w(v)? 14*v**3 - 2*v**2 - 1 Let s(r) = 18*r**2 + r. Let i(c) = -71*c**2 + 23*c - 12. What is i(a) + 4*s(a)? a**2 + 27*a - 12 Let d(x) = 5*x**2 - 9. Suppose 0 = -3*m + 5*w - 14, 4*m = 9*m + 3*w - 22. Let s(j) = -5*j**2 - 25 - 1 - 13*j**m + 32*j**2. Determine 11*d(c) - 4*s(c). -c**2 + 5 Let x(n) be the first derivative of -12*n**2 - 5*n + 865. Let p(o) = -6*o - 1. What is 9*p(k) - 2*x(k)? -6*k + 1 Let i(a) = -19*a - 93. Let c(t) = 37*t + 182. Determine -6*c(d) - 11*i(d). -13*d - 69 Let i(k) = 50*k**2 - 4*k + 4. Suppose -55*j + 6*j - 38*j + 348 = 0. Let o(t) = 700*t**2 - 55*t + 55. Determine j*o(v) - 55*i(v). 50*v**2 Let d(i) = i**3 - 2*i + 2. Let s(a) = -a**3 + 80*a**2 + 4*a - 3. Give -3*d(c) - s(c). -2*c**3 - 80*c**2 + 2*c - 3 Let w(g) = -9*g - 4. Let u(h) be the second derivative of -4*h**3/3 - 3*h**2/2 + 32*h. Let s be (32/(-64))/((-2)/(-8)). Calculate s*w(q) + 3*u(q). -6*q - 1 Let l(f) = -43*f**2 - 6*f - 20. Let u(o) = -14*o**2 - 2*o - 6. Determine -2*l(s) + 7*u(s). -12*s**2 - 2*s - 2 Let z(i) = 6*i**2 - 7*i. Suppose -4*p = 12 + 8. Let g(x) = 3*x. Let d be g(1). Let l(b) = -2*b + 17 + 4*b**2 - d*b - 17. What is p*z(y) + 7*l(y)? -2*y**2 Let a(c) = -55*c + 33. Let l(s) = -2*s**3 - 5*s**2 + 5*s + 5. Let k be l(-4). Let g(p) = 7*p - 4. Give k*g(y) + 4*a(y). 11*y Let u(c) = c**3 - 1. Let t(y) be the first derivative of -7*y + 96 + 0*y**2 + 1/2*y**4 + 0*y**3. Give -t(s) + 4*u(s). 2*s**3 + 3 Let r(d) = -13*d**2 + 3275*d - 11. Let o(q) = -6*q**2 + 1677*q - 5. Determine -9*o(p) + 4*r(p). 2*p**2 - 1993*p + 1 Let w = 24 + -23. Let d = 71 + 24. Let i = d - 89. Let s(l) = l + 1. Let z(u) = -3*u - 8. What is i*s(q) + w*z(q)? 3*q - 2 Let a(s) = 2*s**3 + 2*s**2 - 6*s - 6. Let h(i) = 4*i**3 + 3*i**2 - 7*i - 7. Calculate 4*a(t) - 3*h(t). -4*t**3 - t**2 - 3*t - 3 Let b(g) = -g - 8*g + 0*g. Let h(u) = -3*u. Let d(s) = -3*b(s) + 8*h(s). Let l(a) = 7*a - 1. Determine -5*d(z) + 2*l(z). -z - 2 Let o(r) = -114*r**3 - 4*r**2 + 84. Let v(b) = 116*b**3 + 3*b**2 - 64. Determine 3*o(k) + 4*v(k). 122*k**3 - 4 Let g(h) = -5*h**3 - 39*h**2 - 5*h + 8. Let f(r) = -4*r**3 - 35*r**2 - 4*r + 6. Calculate -4*f(b) + 3*g(b). b**3 + 23*b**2 + b Let x = 97 - 100. Let f(k) = -6*k - 2. Let a(i) = -i. Let l(b) = x*a(b) + f(b). Let u(z) = -25*z - 17. Calculate 51*l(s) - 6*u(s). -3*s Let v(z) = z + 1. Let d = -5449 - -5450. Let n(c) = -8*c + 3. Calculate d*n(a) + 5*v(a). -3*a + 8 Suppose 0 = -4*h + 5*u + 24, -4*h - 3*u + 27 = -29. Let d(m) = 6 - 4 + 416*m + 0 - 4 - 403*m. Let x(o) = -7*o + 1. Determine h*x(t) + 6*d(t). t - 1 Let o(f) be the second derivative of f**4/12 + 7*f**3/6 - 3*f**2/2 - 528*f. Let a(w) = -w**2 - 3*w + 1. Calculate -5*a(z) - 2*o(z). 3*z**2 + z + 1 Let c(s) = -584769*s**2 + 842*s + 842. Let l(j) = -7644*j**2 + 11*j + 11. Calculate -11*c(a) + 842*l(a). -3789*a**2 Let n(w) = -w. Let c(p) = 11*p**2 - p. Let u = 4326 - 4324. What is u*n(o) - 2*c(o)? -22*o**2 Let s(z) = -279*z**2 - 302*z - 32. Let x(h) = 93*h**2 + 110*h + 11. Determine -4*s(a) - 11*x(a). 93*a**2 - 2*a + 7 Let w(j) = 4*j**3 - 24*j**2 - 44*j. Let k(q) = q**3 - 5*q**2 - 9*q. Let d(l) = -24*l**2 + 121*l - 121. Let u be d(1). What is u*k(f) + 5*w(f)? -4*f**3 - 4*f Let x(k) = -4*k**2 - 3*k - 1. Let z(g) = 5*g**2 + 3*g + 1. Let o(t) = -t**2 + t + 1. Let u(v) = -o(v) - z(v). Give 3*u(n) - 4*x(n). 4*n**2 - 2 Let x(k) = -2256*k. Let c(i) = 61*i. Determine -112*c(s) - 3*x(s). -64*s Let m(f) = -167. Let i(v) = 59. Let k(n) = -17*i(n) - 6*m(n). Let r(l) = -2*l + 2. Let c = -1131 + 1132. Suppose 2*o = 6 - 0. Give c*r(h) + o*k(h). -2*h - 1
Suppose 0 = -3*r - 49 + 529. Let x = -379 + r. Let j = x - -394. Is j a multiple of 12? False Suppose 26887 + 2962 = 4*f + j, 0 = 5*f - 5*j - 37305. Is f a multiple of 54? False Let n(s) = s**3 - 10*s + 10. Let u be n(12). Suppose 932 = 10*k - u. Is k a multiple of 15? True Let a be ((-138)/4)/(6/(-8)). Let p be (60/(-45))/(298/(-147) + 2). Suppose a*m - p*m = -78. Is 13 a factor of m? True Let y(a) = 22 + 21*a - 5*a - 2*a. Does 64 divide y(20)? False Suppose 4*n = 3*s + 414, 4*n + 0*s - 426 = -3*s. Let f = 229 - n. Suppose -5*m - 19 + f = 0. Is m a multiple of 5? False Let t = -1341 + 6741. Is 15 a factor of t? True Suppose 207559 = 24*b - 4*b - 9*b. Is b a multiple of 117? False Let l be ((-284)/(-32) + -4)*8. Suppose l*d - 4971 = 6963. Is d a multiple of 3? True Let u(r) = 191*r**3 + 7*r**2 - 15*r + 6. Let z be u(-5). Does 17 divide (z/(-21) - 4) + (-16)/(-56)? False Suppose 13*w - 12*w = -5*i + 679, -4*w = -i - 2716. Is w a multiple of 159? False Let z = -62 - -64. Let r be (12/30)/(((-2)/(-5))/z). Suppose 5*f - 105 = 3*b, 0 = -0*b + r*b. Is f a multiple of 5? False Let b = 37 + -48. Let f = 78 - b. Let z = f - 31. Does 29 divide z? True Let j = 107 - 100. Suppose -j*h - 190 = -12*h. Is 6 a factor of h? False Does 8 divide 8/12 - (-56462)/42? False Let x(a) = a**3 - 38*a**2 - 12*a + 48. Let d = 478 + -439. Is x(d) a multiple of 47? False Let p be 38/171 + ((-50)/(-9))/2. Suppose 5*z = -3*s + 11, 2*z = p*s - 0*z - 4. Suppose -3*y - 5*x = -251, 4*y + s*x = -0*x + 330. Does 41 divide y? True Suppose -4*m - 10*z = -7*z - 1547, 1507 = 4*m - 5*z. Suppose 3*o = c + m, -4*c + 2*o - 1497 = -3*o. Let y = -263 - c. Is y a multiple of 21? True Let z be (3 - 1) + 10/1. Let q(r) = 5*r**2 - 9*r + 16. Let x be q(z). Suppose 0 = 8*o - x - 660. Does 15 divide o? False Is (12/7)/(376783/53823 - 7) a multiple of 17? False Suppose -14*n - 26 = -110. Suppose s = n*s - 5300. Is s a multiple of 20? True Let j be (-3)/(-3*(-2)/(-6)). Let h(r) = 2*r**2 - r - 21. Let x be h(12). Suppose t + 3*f - 427 = -4*t, 3*t - x = -j*f. Does 43 divide t? True Let y = 11 + -19. Let w be ((-240)/9)/y*18. Is 8 a factor of (-248)/(-7) + w/(-140)? False Suppose -5*w - 14 = -3*o, 2*w + 3*o - 13 = 6*w. Is 23 a factor of (-1)/w + 493 + 12? True Suppose -73 = -7*f + 74. Does 45 divide 489/(-21)*-29 - 6/f? True Does 6 divide (-9*(-15)/9)/((-6)/(-2518))? False Let k = -10842 + 21447. Is k a multiple of 21? True Let x = 126 - 114. Suppose 2296 = -x*k + 26*k. Does 41 divide k? True Is 3580/(-1)*((-3)/8)/(186/1860) a multiple of 75? True Let q = -5574 + 10578. Is 18 a factor of q? True Let q(k) = -69 + 21 - 13*k - 8*k - k**3 - 13*k**2 - 1. Does 5 divide q(-12)? False Suppose -23066*k = -23060*k - 20358. Is 117 a factor of k? True Let x(o) = o**2 + 12*o - 1. Let q(b) = -3*b + 36. Let m be q(19). Let w = 26 + m. Does 37 divide x(w)? False Suppose 0 = -6*p - p + 1365. Is (-12)/10 + 1 - (-86229)/p a multiple of 17? True Is ((-17184)/320 - 2/(-10))*-2 a multiple of 12? False Let o = 13 + -28. Let n = -11 - o. Suppose -4*f = 5*b - 230, -5*f - 96 = -n*b + 47. Does 27 divide b? False Let b(m) = 6*m**2 - 41*m + 207. Is b(15) a multiple of 21? False Does 15 divide -6 + 6297*-12*3/(-54)? False Let d = 31 - 24. Suppose n + j + 11 = 0, -5*j - d = -n + 6. Is 12 a factor of (n + 9)/((-2)/(-60))? True Let u(x) = x**2 - 5*x + 8. Let o(d) = -d**3 + 8*d**2 + 4*d - 4. Let v be o(8). Suppose 26*y + 14 = v*y. Is u(y) even? True Is (4/(32/1476))/((-10 + 6)/(-8)) a multiple of 41? True Let a(i) = -i**3 - 7*i**2 + 8*i + 15. Suppose -2*n = 12 + 4. Let v(c) = c**3 + 6*c**2 - 15*c. Let x be v(n). Is 15 a factor of a(x)? True Is 116 a factor of (3 - 0) + 23966 + 28 + 15? True Is (-174275)/75*-3 + -1 a multiple of 25? False Suppose 4*g + 1 = 17. Let u be (102/g - 3)/((-15)/(-460)). Suppose -u + 202 = -4*k. Is k a multiple of 10? False Let h be 12*2*1 - -4. Suppose 5*y + u = 2*u - 31, -2*u - h = 5*y. Let n(m) = -8*m - 27. Is n(y) a multiple of 8? False Suppose -28*i = -100926 - 18496 - 79238. Does 55 divide i? True Let c be 4 - ((-21)/3 - -10). Suppose 0 = 6*o - o - 4*j - 2469, 0 = -j - c. Is o a multiple of 29? True Let k = -274 + 145. Let s = k + 386. Is s a multiple of 8? False Suppose 4*w = -0*w. Let u be -1 - w - (-224 + -2). Suppose 3*k - 135 = u. Is 40 a factor of k? True Let m = 19 - -59. Is (12/9)/((-4)/m)*-1 a multiple of 15? False Suppose -3*x + c + 9926 = 0, -243 = x + 2*c - 3540. Is 162 a factor of x? False Suppose f + j = 4019, 5*f + 3*j - 3805 = 16298. Does 9 divide f? True Suppose -8*y + 18996 - 1247 = -4371. Is y a multiple of 35? True Let y(k) = 2 + 29*k**3 - 3*k - 28*k**3 - 3*k + 5*k**2 + 0*k**2. Let w be y(-6). Suppose -2*i + 4*z + 36 = 0, -7*i + 96 = -w*i - 4*z. Is i a multiple of 14? False Let s be 111/(-2)*(5 + -27). Suppose 0 = 2*b + 3*y - 4*y - s, 5*b - 2*y - 3054 = 0. Is 51 a factor of b? True Let v be (-7 - (0 - 4))/((-9)/30). Is 40 a factor of v*3*(-480)/(-72)? True Is 53 a factor of 108/135 + (-2 - 78723/(-15))? True Suppose 3*c = -c - 48. Let g be -2 + c/(-5) + 39/15. Suppose g*k = -6*k + 1233. Is 13 a factor of k? False Let k(l) = 3*l**2 + 79*l - 16. Let w(s) = s**2 - 17*s + 45. Let u be w(8). Does 20 divide k(u)? False Let x(t) be the third derivative of t**4/6 + 50*t**3/3 - t**2 - 12*t. Does 4 divide x(9)? True Suppose -p = p + 5*j - 134, p - 5*j = 52. Let u = p + -57. Suppose -t + u*h = -56, -t + 0*t + h = -52. Does 9 divide t? False Let t = -2 + 2. Suppose 552*w - 2016 = 544*w. Suppose -2*s + 0*s + w = t. Is 14 a factor of s? True Let w(c) = 185*c**2 - 19*c + 96. Does 4 divide w(-5)? True Let f(a) be the second derivative of a**6/360 + 7*a**5/120 - 5*a**4/24 - 11*a**3/6 + 18*a. Let u(i) be the second derivative of f(i). Is u(-8) a multiple of 3? True Is 10 a factor of -15*(-4)/10 + 774? True Let k(g) = -12*g**2 + 3*g**2 + 2*g + 26*g + 8*g**2 + 104. Let m be k(31). Suppose 0 = -m*t + 5*t + 396. Is t a multiple of 22? True Let g(w) = 17*w + 150. Let n be g(-8). Suppose -15*q + 366 = -n*q - 4*c, -3*c - 9 = 0. Does 12 divide q? False Is 4 a factor of ((4/(-35))/((-6)/(-157965)))/(4/(-14))? False Suppose 273*w + 268830 = 7153890. Is w a multiple of 13? True Let m be (-9)/(-4)*(-128)/24. Let l be 2/8 + 3*9/m. Is 16 a factor of (((-12)/3)/(-2))/l - -65? True Suppose 19*t = 2*t - 2210. Let f = -54 - t. Does 15 divide f? False Let f be (-2)/(-2)*(-17 + 12/2). Let p(x) be the first derivative of 2*x**3/3 + 8*x**2 + 12*x - 9. Is p(f) a multiple of 13? True Let m(w) = -5*w + 0*w + 15 + 9*w. Let d be m(-5). Is 11/(((-15)/6)/d) a multiple of 6? False Does 179 divide 7 - ((-14554)/(-4))/(101/(-606))? True Let c(u) = 9*u + 4. Let a(h) = h - 1. Let b(m) = 3*a(m) - c(m). Let o be b(-4). Suppose -5 - o = -r. Is r a multiple of 14? False Let v be (-8)/(-28) + (-19)/(-7). Suppose -6*f - n = -3*f, 2*f = -v*n + 7. Is (-2)/(-3) + f - (-543)/9 a multiple of 6? True Suppose -4 - 5 = 3*n. Let t be 3 - n/(9/(-267)). Let y = t + 184. Is y a multiple of 14? True Let s be ((-6)/(-7))/((-75)/42 - -2). Suppose -6 = 2*l + 2*j - s, j = -4*l - 1. Let i = l + 12. Is i a multiple of 6? True Let d be (-18)/(-12)*13712/24. Let s = d - 538. Is 8 a factor of s? False Let t(n) = -4573*n - 3475. Is t(-15) a multiple of 29? False Let h = -41 - 55. Let z = h + 182. Suppose 0 = s - z - 22. Is s a multiple of 13? False Suppose -2*h = -k - 5*h - 12, 3*k - 3*h - 24 = 0. Suppose -368 = -3*f + 5*d, k + 5 = -2*d. Let y = f - 63. Does 26 divide y? False Let f(z) = -3609*z**3 + 2*z**2 + z - 1. Is 136 a factor of f(-1)? False Let o(b) = -b**2 + 8*b + 14. Let m be o(9). Suppose -3*n + m*n - 4 = 0. Suppose 0 = n*c + 2, 3*v + 3*c - 247 = 158. Is 34 a factor of v? True Suppose 0 = 85*s + 16*s - 387840. Does 61 divide s? False Let c be 1/(-3 - 80/(-25)). Suppose c*p + 2 = 6*p. Does 2 divide (-24)/18*(-9)/p? True Suppose 2*d - 2084 = 3*j - 619, -2*d + 1495 = 3*j. Is d a multiple of 5? True Suppose 4*q - q - 6*f - 2325 = 0, -4*q - 3*f + 3089 = 0. Let a = -767 + q. Does 6 divide a? True Let m be ((1 - 1)*-1)/(2 - 3). Suppose 2*y - 2 = -4*s - 0, -s - 4*y + 11 = m. Does 9 divide (3 + s)/(1 + (-11)/13)? False Let j(r) = -27*r + 30*r + 10 - 5. Let v = -415 - -427. Is 11 a factor of j(v)? False Is 130 a factor of ((-45)/(-10))/(9/(-120))*6240/(-45)? True Let s be 0 + 1208 - (-6 - -4)*2. Suppose 0 = 3*b + 60 - s. Is 24 a factor of b? True Is (-376)/6*(-231)/4 a multiple of 47? True Let t(v) = -3*v - 2. Let b be t(-2). Let p(d) be the first derivative of d**4/4 - d**3 + 2*d**2 + 2*d - 126. Is 8 a factor of p(b)? False
Suppose -3*o + 0*o = -9. Suppose -51*l = -337 + 235. Factor -4/9*p**l - 2/9*p**o + 0*p + 0. -2*p**2*(p + 2)/9 Factor -5/3*v**3 + 19/3*v + 2 + 8/3*v**2. -(v - 3)*(v + 1)*(5*v + 2)/3 Let z(t) be the first derivative of -1/3*t**3 + 5 - 3*t - 2*t**2. Factor z(q). -(q + 1)*(q + 3) Let j = -38 - -72. Let -5*u**3 + 9*u**2 - 56*u - j*u**2 + 36*u = 0. Calculate u. -4, -1, 0 Let t(g) be the first derivative of g**8/840 + g**7/42 + 5*g**6/36 + 19*g**3/3 - 15. Let o(r) be the third derivative of t(r). Determine s so that o(s) = 0. -5, 0 Let m(z) be the third derivative of z**7/3360 - 3*z**3/2 - 7*z**2. Let f(j) be the first derivative of m(j). Factor f(k). k**3/4 Let -21*l**2 + 6 + 73*l**2 - 27*l**2 - 26*l**2 + 4 - 3*l = 0. What is l? -5, 2 Let i(q) = -11*q**3 - 4*q**2 + 19*q + 6. Let r(j) = -j**3 + j**2 + 4*j + 1. Let h(t) = i(t) - 6*r(t). Find w, given that h(w) = 0. -1, 0 Suppose -22 = -3*h + n, h + 32 = 4*h + 4*n. Let t be ((-30)/h)/(16/(-64)). Factor 6*l**5 - l - t*l**5 + 8*l**5 - 6*l**3 + 4*l**2 + 4*l**4. -l*(l - 1)**4 Let y(m) be the third derivative of -m**7/11340 - m**6/3240 - m**4/2 - 7*m**2. Let l(f) be the second derivative of y(f). Factor l(s). -2*s*(s + 1)/9 Let x(p) be the second derivative of p**6/6 - 5*p**5/4 + 35*p**4/12 - 5*p**3/2 + 260*p. Find u, given that x(u) = 0. 0, 1, 3 Suppose 0 = -0*p - p + 3. Let r be (56 - 90594/1617)/(1/(-7)). Suppose 4/11 - r*q - 8/11*q**2 + 6/11*q**p = 0. What is q? -2/3, 1 Let t(d) be the second derivative of -d**7/63 - 2*d**6/45 + d**5/5 + 4*d**4/9 - 5*d**3/9 - 2*d**2 - d - 13. Solve t(o) = 0. -3, -1, 1, 2 Let x = -603/35 + 617/35. Suppose -x*c**2 + 6/5*c + 0 = 0. Calculate c. 0, 3 Let t(o) = 843*o**2 - 914*o + 247. Let c(v) = 18545*v**2 - 20110*v + 5435. Let r(l) = -2*c(l) + 45*t(l). Factor r(m). 5*(13*m - 7)**2 Factor 2/3*m**3 + 0*m - 8/15*m**4 - 2/15*m**2 + 0. -2*m**2*(m - 1)*(4*m - 1)/15 Suppose -3*h = -5*u + 210, -u + h = 10 - 50. Factor 107*s**3 + 256*s + 15*s**4 + 4*s**5 + 178*s**3 - u*s**3 + 37*s**4 + 448*s**2. 4*s*(s + 1)*(s + 4)**3 Let b(m) = m**2 + 3*m. Let t(s) = -2*s**3 - 67*s**2 - 567*s + 648. Let q(l) = -6*b(l) + 2*t(l). Suppose q(i) = 0. Calculate i. -18, 1 Let p(b) = 14*b**2 + 56*b + 58. Let s(v) = 5*v**2 + 19*v + 20. Let f(j) = 3*p(j) - 8*s(j). Factor f(k). 2*(k + 1)*(k + 7) Let g(q) = q**3 - 22*q**2 + 3*q - 6. Let r(p) = 3*p**3 - 21*p**2 + 4*p - 8. Let z(l) = -4*g(l) + 3*r(l). Factor z(m). 5*m**2*(m + 5) Let i(j) be the second derivative of -j**7/147 + j**6/35 + 9*j**5/35 + 2*j**4/21 - 8*j**3/7 - 8*j - 26. Find z such that i(z) = 0. -2, 0, 1, 6 Let x(a) be the second derivative of -a**5/80 - 13*a**4/48 - 2*a - 20. Factor x(h). -h**2*(h + 13)/4 Suppose 172*g**3 - 44*g**2 - 7*g**2 - 175*g**3 = 0. Calculate g. -17, 0 Let r(l) be the first derivative of -l**6/6 - 24*l**5/5 - 53*l**4 - 826*l**3/3 - 1323*l**2/2 - 686*l - 128. Factor r(d). -(d + 1)*(d + 2)*(d + 7)**3 Factor -73*g + 73*g + 3*g**3 - 5*g**3. -2*g**3 Let d(h) be the second derivative of -7*h**6/270 + h**5/36 + 4*h**4/27 + 2*h**3/27 + 661*h. Suppose d(j) = 0. What is j? -1, -2/7, 0, 2 Let m(x) be the third derivative of 0*x**3 + 1 + 1/60*x**6 - 1/168*x**8 + 1/35*x**7 - 31*x**2 - 1/10*x**5 + 0*x + 0*x**4. Determine j, given that m(j) = 0. -1, 0, 1, 3 Let t(q) = 15*q**2 + q - 3. Let c be 3 - -1*(-3)/(-1). Let h(r) = -8*r**2 + 2. Let u(g) = c*t(g) + 11*h(g). Let u(z) = 0. What is z? -2, -1 Let p(g) be the second derivative of -10/21*g**3 - 25/7*g**2 - 1/42*g**4 - 6*g + 0. Find y, given that p(y) = 0. -5 Let s(p) be the first derivative of -1/9*p**3 + 7/3*p**2 - 49/3*p + 14. Factor s(n). -(n - 7)**2/3 Let f(u) = u**3 - 4*u**2 + 11*u + 13. Let p(j) = -2*j**3 + 12*j**2 - 32*j - 40. Suppose 15*h = 14*h - 8. Let o(s) = h*f(s) - 3*p(s). Factor o(i). -2*(i - 2)*(i + 2)**2 Let q(b) be the third derivative of -2/105*b**6 - 1/42*b**5 - 4/735*b**7 - 1/84*b**4 + 0*b**3 - 3*b**2 + 0 + 0*b. Suppose q(j) = 0. What is j? -1, -1/2, 0 Suppose 4*x + 32 = 6*m - 2*m, 5*x + 28 = 4*m. Factor 4*l + 3*l - 3*l**5 - 6 + 3*l + m*l**4 + 5*l - 12*l**3 - 6*l**2. -3*(l - 2)*(l - 1)**3*(l + 1) Suppose 5*a + 145 + 265 = 0. Let v = -82 - a. Determine h, given that 4/7*h**3 + 4/7*h**5 - 10/7*h**4 + v*h + 0*h**2 + 0 = 0. 0, 1/2, 2 Let v(j) be the second derivative of j**6/70 - 9*j**5/140 + j**4/14 - 181*j. Factor v(c). 3*c**2*(c - 2)*(c - 1)/7 Let u(i) be the second derivative of 1/240*i**6 - 1/32*i**4 + 18*i - 1/6*i**3 + 0 + 1/80*i**5 - 1/4*i**2. Factor u(w). (w - 2)*(w + 1)**2*(w + 2)/8 Let y(q) be the second derivative of 0*q**3 + 2*q**2 + 0*q**4 - 1/15*q**5 - 7*q + 0 + 1/30*q**6. Let i(u) be the first derivative of y(u). Factor i(d). 4*d**2*(d - 1) Let v(j) be the first derivative of -3/2*j**2 + 0*j**4 + 6/5*j**5 + 0*j - 2*j**3 + 1/2*j**6 + 3. What is q in v(q) = 0? -1, 0, 1 Let l(o) be the second derivative of o**5/5 - 10*o**4/3 + 6*o**3 + o - 1. Solve l(g) = 0. 0, 1, 9 Let c be -25 + (-2 + 0)/((-8)/2). Let g = -24 - c. Factor 1/2*x**2 - g*x + 0. x*(x - 1)/2 Let b = 13 - -3. Find c such that 5*c**5 - b*c**3 + 60*c**3 - 24*c**3 - 20*c**4 = 0. 0, 2 Let p(z) be the first derivative of 1/24*z**3 + 5/16*z**2 - 1/32*z**4 + 3/8*z - 3. Determine h so that p(h) = 0. -1, 3 Factor -2/7*p**3 - 2/7 + 2/7*p + 2/7*p**2. -2*(p - 1)**2*(p + 1)/7 Let k(x) be the second derivative of -x**6/60 + x**4/3 - 4*x**2 - 9*x. Let y(q) be the first derivative of k(q). Factor y(g). -2*g*(g - 2)*(g + 2) Let u = 1/1389 + -18366/463. Let d = u + 40. Factor -d - 1/3*p**2 - 2/3*p. -(p + 1)**2/3 Let c(h) be the second derivative of -1/42*h**4 - 2*h + 0*h**2 + 1/21*h**3 + 23. Solve c(a) = 0 for a. 0, 1 Let z(f) = -4*f**2 + 6*f + 20. Let n(v) = -16*v**2 + 25*v + 78. Let g(s) = -2*n(s) + 9*z(s). Suppose g(h) = 0. Calculate h. -2, 3 Let j = 10816/7 + -1544. Determine p so that 2/7*p**2 + 0 - j*p = 0. 0, 4 Suppose 48 = 34*c - 156. Let p(t) be the second derivative of -1/6*t**4 + c*t + 0*t**2 - 1/3*t**3 + 0. Find x, given that p(x) = 0. -1, 0 Suppose -136*u + 131*u + 370 = 0. Let x = u - 71. Suppose 0*o**2 - 1/8*o**x + 3/8*o - 1/4 = 0. Calculate o. -2, 1 Let c(p) = 19*p + 20. Let j be c(10). Let l = 1077/5 - j. Factor -6/5*r + 0 - 21/5*r**3 + l*r**2. -3*r*(r - 1)*(7*r - 2)/5 Let 57600 - 546*f - 4*f**2 + 8*f**2 - 414*f = 0. Calculate f. 120 Factor 37*n**3 + 0*n**4 + 5*n**5 + 7*n**4 - 81*n**3 + 3*n**4 + 29*n**3. 5*n**3*(n - 1)*(n + 3) Let q(o) be the third derivative of o**7/105 - 37*o**6/15 + 2738*o**5/15 + o**2 + 83*o. Factor q(m). 2*m**2*(m - 74)**2 Factor -150*l**3 - 22*l**2 - 84*l + 299*l**3 - 137*l**3 - 49 - l**4 + 0*l**2. -(l - 7)**2*(l + 1)**2 Suppose -w + 5*p + 13 = 2*p, -2*p - 18 = -3*w. Let z be (3/w)/(3/8). Factor 0 - 2/13*u**3 + 2/13*u**4 - 4/13*u**z + 0*u. 2*u**2*(u - 2)*(u + 1)/13 Let l(k) be the second derivative of k**7/42 + 14*k**6/45 + 11*k**5/10 - 3*k**4 - 13*k**3/6 + 8*k. Let t(z) be the second derivative of l(z). Factor t(i). 4*(i + 3)**2*(5*i - 2) Find f, given that 18*f**5 + 128*f**2 + 108*f**3 + 72 + 96*f**2 - 504*f + 24*f**4 + 714*f - 16*f**5 = 0. -4, -3, -1 Factor 1/11*t - 2/11*t**2 + 0 + 1/11*t**3. t*(t - 1)**2/11 Let z(m) be the first derivative of -2*m**3/15 - 3*m**2 - 28*m/5 - 74. Find a such that z(a) = 0. -14, -1 Let t(s) = -s**4 + s**3 + s + 1. Let f(n) = -6*n**4 + 57*n**3 + 60*n**2 - 51*n - 54. Let g(d) = -f(d) + 3*t(d). Factor g(y). 3*(y - 19)*(y - 1)*(y + 1)**2 Let r(f) be the first derivative of -2*f**3/45 - 37*f**2/15 - 24*f/5 - 79. Find b, given that r(b) = 0. -36, -1 Let h(l) be the second derivative of -l**7/840 + l**6/120 - l**5/40 + l**4/24 - 11*l**3/6 - 4*l. Let j(y) be the second derivative of h(y). Factor j(c). -(c - 1)**3 Let f(h) be the second derivative of -h**7/504 + 7*h**6/72 - 49*h**5/24 + 13*h**4/12 + 8*h. Let t(o) be the third derivative of f(o). Factor t(m). -5*(m - 7)**2 Let q(m) be the first derivative of -m**3/9 - 19*m**2/2 + 58*m/3 + 811. Factor q(y). -(y - 1)*(y + 58)/3 Let c(w) be the first derivative of w**4/2 - 23*w**3/12 - 35*w**2/8 - w - 419. Factor c(d). (d - 4)*(d + 1)*(8*d + 1)/4 Solve -7*n**2 - 70 - 2*n**2 + 67 + 14*n - 5*n + 5*n**3 - 2*n**3 = 0 for n. 1 Let o = 102 - 104. Let a be -5 - o*111/42. Suppose 3/7*z**3 - a*z + 1/7*z**4 + 0 - 1/7*z**2 - 1/7*z**5 = 0. Calculate z. -1, 0, 1, 2 Solve -3/2*w**4 + 9*w**3 + 15*w - 18*w**2 - 9/2 = 0 for w. 1, 3 Let j = -411/28 - -122/7. Solve -j*g**3 + 1/4*g - 4*g**2 + 3/2 = 0 for g. -1, 6/11 Suppose -2*f + 3*k = -39, 7*f + 3*k - 33 = 5*f. Let r = -15 + f. Find b such that 2*b**2 - 8/3*b**4 + 2/3*b + 0*b**r + 0 = 0. -1/2, 0, 1
Three letters picked without replacement from bgeeehgnhhnbenlg. What is prob of sequence egg? 1/140 What is prob of sequence cfca when four letters picked without replacement from {c: 4, t: 1, f: 1, a: 4}? 1/105 What is prob of sequence smmn when four letters picked without replacement from {r: 2, m: 2, s: 3, n: 1, q: 1, c: 3}? 1/1980 Four letters picked without replacement from {u: 1, m: 3, i: 5}. What is prob of sequence iuiu? 0 Two letters picked without replacement from {b: 2, k: 5, i: 6}. Give prob of sequence ii. 5/26 Three letters picked without replacement from {b: 1, m: 3, q: 12}. Give prob of sequence mqm. 3/140 Two letters picked without replacement from xiit. What is prob of sequence it? 1/6 Calculate prob of sequence lll when three letters picked without replacement from elmlmmmmllemmeeemmm. 4/969 Two letters picked without replacement from bsbbbsshsbbbbusbsbr. Give prob of sequence bs. 10/57 Calculate prob of sequence rn when two letters picked without replacement from {r: 2, n: 2, u: 7}. 2/55 Three letters picked without replacement from sdghdqgbh. Give prob of sequence sgq. 1/252 Three letters picked without replacement from ooooooo. What is prob of sequence ooo? 1 Four letters picked without replacement from wxxfrbrdbxbbddb. What is prob of sequence wbbf? 1/1638 Calculate prob of sequence yb when two letters picked without replacement from {b: 3, y: 5}. 15/56 Four letters picked without replacement from {k: 4}. Give prob of sequence kkkk. 1 Two letters picked without replacement from {f: 2, a: 1, e: 1, o: 2}. Give prob of sequence oa. 1/15 Two letters picked without replacement from {o: 5, i: 9}. Give prob of sequence oo. 10/91 Two letters picked without replacement from ccrocrnocmcqcmcoc. What is prob of sequence nq? 1/272 Calculate prob of sequence byh when three letters picked without replacement from {h: 4, b: 3, y: 3, q: 4}. 3/182 Calculate prob of sequence iyhj when four letters picked without replacement from yxyhyyyiyxyhjxyyi. 3/4760 What is prob of sequence vc when two letters picked without replacement from vvvvgblbvbbvvvc? 4/105 Calculate prob of sequence vfe when three letters picked without replacement from {f: 2, e: 2, v: 2, n: 1, r: 1}. 1/42 Calculate prob of sequence hea when three letters picked without replacement from {e: 2, a: 1, z: 1, h: 3}. 1/35 Two letters picked without replacement from vvvvvvvvv. Give prob of sequence vv. 1 What is prob of sequence wwvv when four letters picked without replacement from {v: 2, w: 5}? 1/21 Calculate prob of sequence kc when two letters picked without replacement from cmkowzc. 1/21 Three letters picked without replacement from {m: 12, z: 6}. Give prob of sequence zzz. 5/204 Four letters picked without replacement from {j: 4, r: 1, c: 4, z: 1, q: 1}. Give prob of sequence jcjc. 1/55 Two letters picked without replacement from gqqsghsn. Give prob of sequence gh. 1/28 What is prob of sequence nere when four letters picked without replacement from erhtnteuttheuthnttn? 1/5168 Calculate prob of sequence redj when four letters picked without replacement from rdjrdrtdedjjjb. 2/1001 Two letters picked without replacement from {y: 11, r: 3}. Give prob of sequence rr. 3/91 Four letters picked without replacement from anmnnsm. Give prob of sequence nmas. 1/140 Four letters picked without replacement from qqqggqgggqgqggqg. Give prob of sequence qggq. 9/130 Two letters picked without replacement from illlilllllllllllll. What is prob of sequence ll? 40/51 What is prob of sequence ddd when three letters picked without replacement from ddddddd? 1 Calculate prob of sequence wpi when three letters picked without replacement from {i: 10, w: 1, p: 9}. 1/76 Calculate prob of sequence vrr when three letters picked without replacement from vvrvvvvvrvvvvvvgv. 7/1020 Two letters picked without replacement from ezkjjkewy. What is prob of sequence yz? 1/72 Calculate prob of sequence mw when two letters picked without replacement from qwmmqwqqqqq. 2/55 Four letters picked without replacement from {b: 1, s: 13, p: 1}. Give prob of sequence ssbp. 1/210 What is prob of sequence ilp when three letters picked without replacement from ippvivpllpi? 4/165 Four letters picked without replacement from eseseeesxeewee. What is prob of sequence eewe? 3/143 Three letters picked without replacement from zlzlllzlzlwlwz. Give prob of sequence lzw. 5/156 Calculate prob of sequence jjjv when four letters picked without replacement from {j: 5, v: 8}. 4/143 Calculate prob of sequence xeh when three letters picked without replacement from eeppppphphppxppxpxxp. 2/855 Calculate prob of sequence ki when two letters picked without replacement from ikkikiiiiikik. 10/39 What is prob of sequence as when two letters picked without replacement from aaaiaaaaaaaaaaasaa? 8/153 What is prob of sequence hl when two letters picked without replacement from {o: 4, u: 2, l: 2, d: 1, h: 2, r: 4}? 2/105 Calculate prob of sequence jylj when four letters picked without replacement from ylljjjjy. 1/35 Three letters picked without replacement from yaarbjd. Give prob of sequence bdr. 1/210 Two letters picked without replacement from wvwhqhvvqvvvvv. Give prob of sequence hq. 2/91 Calculate prob of sequence lhqb when four letters picked without replacement from {h: 2, l: 5, w: 1, b: 2, q: 2, k: 5}. 1/1428 Two letters picked without replacement from kdkdddkkdkkkkkkkkkkk. Give prob of sequence dd. 1/19 Two letters picked without replacement from {a: 7, x: 1, k: 3, w: 3}. Give prob of sequence xk. 3/182 Two letters picked without replacement from huuzyzuhu. Give prob of sequence zz. 1/36 What is prob of sequence uz when two letters picked without replacement from {d: 3, z: 3, u: 2}? 3/28 What is prob of sequence fcty when four letters picked without replacement from yycfycysyytggyytyy? 1/1836 Two letters picked without replacement from fkakakakyqyyaqaqfaa. Give prob of sequence ay. 7/114 Three letters picked without replacement from iyyyycxzix. What is prob of sequence xcz? 1/360 Three letters picked without replacement from sssnsssnnsssns. Give prob of sequence sns. 15/91 Four letters picked without replacement from mvzexve. Give prob of sequence meev. 1/210 Three letters picked without replacement from rrbrbbbbbbb. What is prob of sequence rrb? 8/165 Three letters picked without replacement from {b: 1, x: 1, r: 1, p: 1, q: 1}. What is prob of sequence xqr? 1/60 Calculate prob of sequence ykc when three letters picked without replacement from ykkyyyycyycyyky. 2/91 Calculate prob of sequence akwl when four letters picked without replacement from lzwaqkq. 1/840 Calculate prob of sequence fg when two letters picked without replacement from {f: 10, y: 2, r: 5, g: 3}. 3/38 What is prob of sequence daad when four letters picked without replacement from {d: 16, a: 4}? 8/323 Four letters picked without replacement from {y: 1, o: 1, w: 8, x: 5, d: 2}. What is prob of sequence wddw? 1/510 Three letters picked without replacement from rllnnrrnnrllnnnl. What is prob of sequence rnn? 1/20 Four letters picked without replacement from {c: 1, g: 7}. What is prob of sequence gggc? 1/8 What is prob of sequence qms when three letters picked without replacement from csnmksq? 1/105 Three letters picked without replacement from {f: 4, o: 6}. Give prob of sequence oof. 1/6 What is prob of sequence mu when two letters picked without replacement from {h: 2, m: 3, d: 3, o: 1, v: 1, u: 1}? 3/110 Three letters picked without replacement from fkmti. What is prob of sequence imk? 1/60 Calculate prob of sequence hjqh when four letters picked without replacement from qhjhjqjh. 3/140 Two letters picked without replacement from {t: 1, d: 1, k: 2, o: 1}. Give prob of sequence dk. 1/10 Four letters picked without replacement from cccmcwmocuscowc. What is prob of sequence uwmm? 1/8190 Three letters picked without replacement from {o: 11, w: 2, l: 1, n: 1, p: 1}. Give prob of sequence plw. 1/1680 Four letters picked without replacement from {w: 1, i: 5, r: 1, x: 5}. Give prob of sequence irxx. 5/594 Calculate prob of sequence yy when two letters picked without replacement from yyyyyyyyyyyyyfyyfyy. 136/171 Two letters picked without replacement from {q: 3, m: 17}. What is prob of sequence mm? 68/95 Calculate prob of sequence fmf when three letters picked without replacement from {m: 1, f: 4, w: 4, t: 1}. 1/60 Three letters picked without replacement from zzlzeezzzccezcllec. What is prob of sequence elc? 1/102
What is the third root of 50725494 to the nearest integer? 370 What is the third root of 141129564 to the nearest integer? 521 What is the sixth root of 973224908 to the nearest integer? 31 What is 229021548 to the power of 1/8, to the nearest integer? 11 What is the square root of 46839183 to the nearest integer? 6844 What is the third root of 645499395 to the nearest integer? 864 What is the sixth root of 238444641 to the nearest integer? 25 What is 83736881 to the power of 1/2, to the nearest integer? 9151 What is 300684928 to the power of 1/8, to the nearest integer? 11 What is the seventh root of 7768975 to the nearest integer? 10 What is 1127175037 to the power of 1/3, to the nearest integer? 1041 What is the fourth root of 90888350 to the nearest integer? 98 What is the fifth root of 864702766 to the nearest integer? 61 What is the third root of 66318947 to the nearest integer? 405 What is the square root of 138122927 to the nearest integer? 11753 What is the tenth root of 88398530 to the nearest integer? 6 What is the square root of 79689495 to the nearest integer? 8927 What is the third root of 32697369 to the nearest integer? 320 What is 253211462 to the power of 1/3, to the nearest integer? 633 What is the cube root of 3500183 to the nearest integer? 152 What is the tenth root of 35358264 to the nearest integer? 6 What is the ninth root of 156485236 to the nearest integer? 8 What is the cube root of 1162339662 to the nearest integer? 1051 What is the third root of 19574330 to the nearest integer? 270 What is 1317438305 to the power of 1/2, to the nearest integer? 36297 What is 1497524207 to the power of 1/5, to the nearest integer? 68 What is the ninth root of 329394588 to the nearest integer? 9 What is 714776098 to the power of 1/4, to the nearest integer? 164 What is the sixth root of 128705574 to the nearest integer? 22 What is the third root of 674495338 to the nearest integer? 877 What is 1801267682 to the power of 1/8, to the nearest integer? 14 What is 2313448573 to the power of 1/9, to the nearest integer? 11 What is the cube root of 162421833 to the nearest integer? 546 What is 6028893329 to the power of 1/8, to the nearest integer? 17 What is 1722456453 to the power of 1/5, to the nearest integer? 70 What is the square root of 7869149 to the nearest integer? 2805 What is the sixth root of 624863996 to the nearest integer? 29 What is the square root of 117775724 to the nearest integer? 10852 What is 15893174 to the power of 1/6, to the nearest integer? 16 What is the sixth root of 4305323149 to the nearest integer? 40 What is 3388519 to the power of 1/8, to the nearest integer? 7 What is the eighth root of 6418969 to the nearest integer? 7 What is the third root of 388150408 to the nearest integer? 729 What is 6443676659 to the power of 1/2, to the nearest integer? 80273 What is 2068432 to the power of 1/2, to the nearest integer? 1438 What is the ninth root of 40015509 to the nearest integer? 7 What is 222867758 to the power of 1/3, to the nearest integer? 606 What is the third root of 713268445 to the nearest integer? 893 What is 18107629 to the power of 1/6, to the nearest integer? 16 What is the eighth root of 31461317 to the nearest integer? 9 What is 35299536 to the power of 1/5, to the nearest integer? 32 What is 310348241 to the power of 1/3, to the nearest integer? 677 What is 378249429 to the power of 1/2, to the nearest integer? 19449 What is 447357921 to the power of 1/4, to the nearest integer? 145 What is the ninth root of 507196550 to the nearest integer? 9 What is 207542954 to the power of 1/3, to the nearest integer? 592 What is 685697544 to the power of 1/8, to the nearest integer? 13 What is 96923133 to the power of 1/2, to the nearest integer? 9845 What is the cube root of 5026290131 to the nearest integer? 1713 What is the square root of 38940897 to the nearest integer? 6240 What is 281041859 to the power of 1/7, to the nearest integer? 16 What is the square root of 220029020 to the nearest integer? 14833 What is 166894873 to the power of 1/3, to the nearest integer? 551 What is the fifth root of 203300196 to the nearest integer? 46 What is 3865716376 to the power of 1/3, to the nearest integer? 1569 What is 492377730 to the power of 1/9, to the nearest integer? 9 What is the cube root of 41960523 to the nearest integer? 347 What is the eighth root of 2678908301 to the nearest integer? 15 What is the square root of 2854805072 to the nearest integer? 53430 What is the square root of 228976933 to the nearest integer? 15132 What is 4811851 to the power of 1/2, to the nearest integer? 2194 What is 19288697 to the power of 1/2, to the nearest integer? 4392 What is the eighth root of 90170976 to the nearest integer? 10 What is 52976101 to the power of 1/3, to the nearest integer? 376 What is the third root of 338279824 to the nearest integer? 697 What is the square root of 3541284 to the nearest integer? 1882 What is the tenth root of 15103616 to the nearest integer? 5 What is 1876445082 to the power of 1/7, to the nearest integer? 21 What is 1811537410 to the power of 1/2, to the nearest integer? 42562 What is 1800979461 to the power of 1/5, to the nearest integer? 71 What is 1203052956 to the power of 1/9, to the nearest integer? 10 What is the eighth root of 31950183 to the nearest integer? 9 What is the third root of 1375060050 to the nearest integer? 1112 What is 79133812 to the power of 1/4, to the nearest integer? 94 What is 375180841 to the power of 1/5, to the nearest integer? 52 What is 311941136 to the power of 1/3, to the nearest integer? 678 What is 3938676 to the power of 1/9, to the nearest integer? 5 What is 824368 to the power of 1/4, to the nearest integer? 30 What is the fourth root of 1808690443 to the nearest integer? 206 What is the cube root of 6100480473 to the nearest integer? 1827 What is the square root of 1057218352 to the nearest integer? 32515 What is the square root of 3710085883 to the nearest integer? 60910 What is 103589477 to the power of 1/3, to the nearest integer? 470 What is the fifth root of 131067195 to the nearest integer? 42 What is the sixth root of 110270718 to the nearest integer? 22 What is the square root of 359939869 to the nearest integer? 18972 What is the tenth root of 422171490 to the nearest integer? 7 What is the third root of 18255764 to the nearest integer? 263 What is the square root of 451802259 to the nearest integer? 21256 What is the third root of 80758931 to the nearest integer? 432 What is the seventh root of 63278369 to the nearest integer? 13 What is 2488965607 to the power of 1/5, to the nearest integer? 76 What is 41668955 to the power of 1/2, to the nearest integer? 6455 What is 882149315 to the power of 1/2, to the nearest integer? 29701 What is the square root of 91759501 to the nearest integer? 9579 What is the square root of 223086126 to the nearest integer? 14936 What is the sixth root of 2158727561 to the nearest integer? 36 What is the square root of 7186932230 to the nearest integer? 84776 What is the square root of 66324655 to the nearest integer? 8144 What is 235008678 to the power of 1/3, to the nearest integer? 617 What is 41619956 to the power of 1/10, to the nearest integer? 6 What is the fourth root of 6841692395 to the nearest integer? 288 What is 612777618 to the power of 1/3, to the nearest integer? 849 What is the ninth root of 1278230863 to the nearest integer? 10 What is the third root of 410027613 to the nearest integer? 743 What is the ninth root of 35223677 to the nearest integer? 7 What is 48238203 to the power of 1/10, to the nearest integer? 6 What is the square root of 22661911 to the nearest integer? 4760 What is 89742480 to the power of 1/3, to the nearest integer? 448 What is 290434699 to the power of 1/9, to the nearest integer? 9 What is 40309243 to the power of 1/3, to the nearest integer? 343 What is the square root of 62130296 to the nearest integer? 7882 What is the eighth root of 2013261258 to the nearest integer? 15 What is the third root of 93110428 to the nearest integer? 453 What is 21870841 to the power of 1/7, to the nearest integer? 11 What is the fourth root of 150455919 to the nearest integer? 111 What is the tenth root of 4417545 to the nearest integer? 5 What is the square root of 689579224 to the nearest integer? 26260 What is the square root of 36704196 to the nearest integer? 6058 What is 440159461 to the power of 1/9, to the nearest integer? 9
Let -22*u + 14*u - 6 + 2*u**2 + 4*u = 0. Calculate u. -1, 3 Let s(v) be the second derivative of -v**6/30 + 3*v**5/20 - v**4/4 + v**3/6 - 4*v. Find u such that s(u) = 0. 0, 1 Suppose 2*d - 3 = 3*d. Let g be d/(-2*(-3)/(-4)). Determine t so that 0 + 1/4*t + 1/4*t**3 + 1/2*t**g = 0. -1, 0 Let m(x) be the second derivative of -x**7/30 + 3*x**6/50 - x**5/50 + 10*x. Let m(j) = 0. Calculate j. 0, 2/7, 1 Let x(q) be the first derivative of -3*q**4/2 - 10*q**3/3 + 2*q**2 + 24. Factor x(c). -2*c*(c + 2)*(3*c - 1) Suppose -3*d = -2*r - 7*d - 10, -7 = 3*r + 4*d. Let p = r + -1. Suppose -a**2 + p*a**2 - a + 0*a = 0. Calculate a. 0, 1 Let x(y) = -14*y**2 + 6. Let g be (4/6)/(2/6). Let h(k) = -2 + 0 + 9*k**g - 4*k**2. Let o(l) = -8*h(l) - 3*x(l). Factor o(z). 2*(z - 1)*(z + 1) Let x(r) = -r**2 + r - 1. Let y(z) = 96*z**2 - 236*z + 140. Let q(c) = -4*x(c) + y(c). Solve q(v) = 0 for v. 6/5 Let v(y) = 8*y**2 - 2. Let b = -2 - -8. Let c(j) be the second derivative of j**4/12 - j. Let t(k) = b*c(k) - v(k). Factor t(u). -2*(u - 1)*(u + 1) Suppose -16 - 11 = 3*z. Let q = z + 9. Factor 1/4*p**2 + q*p - 1/4. (p - 1)*(p + 1)/4 Let q(m) be the first derivative of m**6/18 - 2*m**5/15 + 2*m**3/9 - m**2/6 - 3. Suppose q(i) = 0. What is i? -1, 0, 1 Suppose 0 = -7*s + 8*s. Factor s + 1/4*w**5 - 1/2*w**2 + 1/2*w**4 - 1/4*w + 0*w**3. w*(w - 1)*(w + 1)**3/4 Let f(x) be the second derivative of -x**7/70 + 3*x**5/100 + 2*x. Let f(q) = 0. What is q? -1, 0, 1 Let f = 429/2 + -214. Factor h + 0 + f*h**2. h*(h + 2)/2 Let t = 4 - 2. Let f = 0 - -4. Factor -2*v**3 + 2*v**2 + 2*v - f*v**3 + 2*v**t. -2*v*(v - 1)*(3*v + 1) Let i(r) = -r**3 - 15*r**2 - 15*r - 12. Let m be i(-14). Determine o, given that 19*o - 40*o + 23*o + 4*o**2 + m*o**3 = 0. -1, 0 Let a = 17 + -33/2. Suppose 0 - 1/2*m**2 + a*m**4 + 1/2*m**3 + 0*m - 1/2*m**5 = 0. What is m? -1, 0, 1 Let o(r) = -r**2 - 4*r + 9. Let k be o(-5). Let m(z) be the first derivative of -1/10*z**5 - 1/2*z**2 - 9/16*z**k - z**3 + 1 + 0*z. Let m(l) = 0. Calculate l. -2, -1/2, 0 Let b(w) be the third derivative of 1/315*w**7 - 5*w**2 + 1/1008*w**8 + 0*w**3 - 1/90*w**5 + 0*w**6 + 0*w + 0 - 1/72*w**4. Find a, given that b(a) = 0. -1, 0, 1 Let o(k) be the first derivative of k**5/5 + 5*k**4/16 - k**3/4 - 5*k**2/8 - k/4 - 16. Factor o(l). (l - 1)*(l + 1)**2*(4*l + 1)/4 Factor 28*r**3 - 69*r**2 - 8*r**4 - 16 + 52*r + 4*r**4 + 9*r**2. -4*(r - 4)*(r - 1)**3 Let y = 1/809 + 2420/5663. Factor -3/7*x**3 + y*x - 6/7*x**2 + 6/7. -3*(x - 1)*(x + 1)*(x + 2)/7 Let u be (4/(-2) - -2)*-1. Suppose u*i = -i. Factor -b**4 + b**2 + 2*b**3 - 3*b**3 + i*b**3 + b. -b*(b - 1)*(b + 1)**2 Let r be (-49)/(-140) + 2/(-6). Let f(s) be the second derivative of 0*s**3 + 0 + r*s**5 - 1/36*s**4 + s + 0*s**2. Factor f(t). t**2*(t - 1)/3 Let l(r) = 6*r + 15. Let y be l(-6). Let x be (-6)/(-21) + 6/y. Factor 2/5*s**2 + x + 2/5*s. 2*s*(s + 1)/5 Let s(h) = -11*h**3 + 3*h**2 + 8. Let u(b) = 4*b**3 - b**2 - 3. Suppose -5*x - 49 = -3*z, 9*x = 4*x + 4*z - 52. Let m(d) = x*u(d) - 3*s(d). Factor m(l). l**2*(l - 1) Let x be 18/(-32)*16/(-12)*4. Factor -3/4*p**x + 3/4 - 3/4*p**2 + 3/4*p. -3*(p - 1)*(p + 1)**2/4 Let x(i) be the first derivative of i**6/36 - 2*i**5/15 + i**4/4 - 2*i**3/9 + i**2/12 + 8. Factor x(b). b*(b - 1)**4/6 Let a(m) be the first derivative of 25*m**6/6 + 17*m**5 + 105*m**4/4 + 55*m**3/3 + 5*m**2 - 11. Factor a(p). 5*p*(p + 1)**3*(5*p + 2) Factor -1/3*y**3 + 2/3 + y + 0*y**2. -(y - 2)*(y + 1)**2/3 Suppose -v = 3*z - 15 + 5, -5*v + 4*z + 12 = 0. Let c**2 - 9*c**2 + 6*c**3 - c**4 - c**v + 2*c**3 = 0. Calculate c. 0, 2 Let t(j) = j + 1. Let f(x) = -x**2 - 5*x - 4. Let k(p) = f(p) + 2*t(p). Factor k(l). -(l + 1)*(l + 2) Let q(p) be the third derivative of -p**6/900 - 4*p**5/225 - 13*p**4/180 - 2*p**3/15 + 9*p**2. Solve q(u) = 0. -6, -1 Let d(k) = 2*k**2 + 4*k + 2. Let s be d(-2). Find l such that l**4 - 3*l**2 + 2*l**s + 0*l**2 = 0. -1, 0, 1 Suppose 0 = 2*n - 7*n + 50. Determine i, given that -3*i**2 - n*i + i + 3*i = 0. -2, 0 Let w(x) = x**5 + 5*x**4 - 9*x**3 + 5*x**2 + 4*x - 6. Let n(i) = -2*i**5 - 11*i**4 + 19*i**3 - 10*i**2 - 9*i + 13. Let f(t) = 6*n(t) + 13*w(t). Factor f(y). y*(y - 1)**3*(y + 2) Determine w, given that -w - 2 - 2*w**2 + 7*w**2 - 4*w**2 = 0. -1, 2 Let u = -13 + 14. Let c(x) = -2*x**2 - 20*x - 8. Let i(p) = p**2. Let k(r) = u*c(r) - 6*i(r). Factor k(g). -4*(g + 2)*(2*g + 1) Let f(w) be the first derivative of -w**6/15 - w**5/5 - w**4/6 - 2*w - 1. Let t(o) be the first derivative of f(o). What is h in t(h) = 0? -1, 0 Factor -3/2*k**3 + 9/2*k + 0 + 3*k**2. -3*k*(k - 3)*(k + 1)/2 Factor -84 - 3/7*r**2 + 12*r. -3*(r - 14)**2/7 Let i(t) = -4*t**2 + 0*t - 4 - 5*t + 3*t. Let h(u) = 3*u**2 + 2*u + 3. Let r(l) = -3*h(l) - 2*i(l). Find n, given that r(n) = 0. -1 Let b be (1 + -1)/(-1*2). Suppose 9*v + 3*k = 4*v + 23, v - 8 = -4*k. Factor -q**3 - 1/5*q - 4/5*q**2 - 2/5*q**v + b. -q*(q + 1)**2*(2*q + 1)/5 Let f be (-2)/(-4 - -2) - -1. Factor 0*j**2 + 4 + 1 - 4*j - f*j**2 + 1. -2*(j - 1)*(j + 3) Let b(t) = 8*t**3 - 5*t**2 - 3*t. Let o(g) be the second derivative of -7*g**5/20 + g**4/3 + g**3/2 + 3*g. Let k(l) = -4*b(l) - 5*o(l). What is r in k(r) = 0? -1, 0, 1 Let h(z) be the second derivative of -z**6/40 + 3*z**5/40 - z**4/16 + 3*z. Find w such that h(w) = 0. 0, 1 Factor -2*v**3 + 5*v**3 + 4*v**4 - 9*v**4 + 14*v**4. 3*v**3*(3*v + 1) Suppose 20 = 8*f - 4*f. Let v(h) be the second derivative of 1/80*h**f + 1/24*h**3 - h + 1/24*h**4 + 0*h**2 + 0. Factor v(w). w*(w + 1)**2/4 Suppose 26*m = 31*m - 25. Let 1/4*t**m + 1/2*t**2 - 1/4*t**4 - 1/4 + 1/4*t - 1/2*t**3 = 0. What is t? -1, 1 Suppose d + 7 = 8*l - 7*l, d - 1 = -3*l. Determine a, given that 1/4*a + 0 - 1/4*a**l = 0. 0, 1 Let y = 689 - 685. Factor -2/9*s**2 + 2/9*s**3 + 4/9*s**y + 0 + 0*s. 2*s**2*(s + 1)*(2*s - 1)/9 Let p(o) = -2*o**4 + 3*o**3 - o**2 - 3. Let l(y) = -14 + 0*y**3 - 10*y**4 + 14*y**3 - 8*y**2 + 4*y**2. Let q(d) = 3*l(d) - 14*p(d). Factor q(v). -2*v**2*(v - 1)*(v + 1) Factor 17*s**3 - 13*s**3 - 16*s**3 - 6 + 9*s + 6*s**2 + 3*s**5. 3*(s - 1)**3*(s + 1)*(s + 2) Let f(q) = 12*q**2 - 69*q - 228. Let p(t) = -t**2 + t - 1. Let k(g) = -f(g) - 15*p(g). Let k(a) = 0. Calculate a. -9 Let f = -395/6 - -66. Let i(m) be the first derivative of -1/2*m**4 + 1/2*m**2 + f*m**6 + 0*m**5 + 0*m**3 - 2 + 0*m. Find r such that i(r) = 0. -1, 0, 1 Let h = -8 - -11. Let o(a) be the second derivative of 1/8*a**2 + 1/24*a**h + 0 - 1/80*a**5 - 3*a - 1/48*a**4. Let o(k) = 0. What is k? -1, 1 Let o(y) be the second derivative of -2*y**6/15 - y**5 - 4*y**4/3 - 18*y. Suppose o(s) = 0. What is s? -4, -1, 0 Let c(i) be the second derivative of -i**6/60 + i**4/6 + 33*i. Factor c(r). -r**2*(r - 2)*(r + 2)/2 Solve -2/5 - 1/5*c**2 - 3/5*c = 0. -2, -1 Suppose 2 = 7*n - 12. Determine v, given that -2*v - 2/3 - 2/3*v**4 - n*v**5 + 4/3*v**2 + 4*v**3 = 0. -1, -1/3, 1 Let g(z) = z**3 + 4*z**2 + z - 2. Let i be g(-3). Let h = -5 + i. Let y(b) = b**3 + 3*b + 1. Let u(w) = -w**2. Let n(m) = h*y(m) + 3*u(m). Factor n(a). -(a + 1)**3 Let d(k) = k**2 + 64*k + 253. Let x(t) = 8*t**2 + 576*t + 2276. Let q(m) = -28*d(m) + 3*x(m). Find p, given that q(p) = 0. -8 Factor -1/2*g**2 - 2*g - 3/2. -(g + 1)*(g + 3)/2 Let 5*d**2 + 3*d**2 + 12*d**2 + 27*d**3 - 22*d**3 = 0. What is d? -4, 0 Determine f so that 0 - 2/11*f + 2/11*f**2 = 0. 0, 1 Let i = 92 + -92. Suppose i - 2/9*m - 2/9*m**2 = 0. What is m? -1, 0 Let g be (-5)/(-2)*20/25. Let x be 3*(g + (-48)/27). Find q, given that 0 + 2/3*q**2 - 2/3*q**4 + 2/3*q**3 - x*q = 0. -1, 0, 1 Suppose -5*n = 4*h - 30, 0 = -4*n - 2*h + 6 + 12. Factor -1/4*o**5 - 5/4*o**4 - 2*o**3 - o**n + 0 + 0*o. -o**2*(o + 1)*(o + 2)**2/4 Let w(z) = -9*z**3 + z**2 + 14*z - 1. Suppose -9 = 4*k - 29. Let l(j) = -5*j**3 + 7*j. Let q(t) = k*l(t) - 2*w(t). Suppose q(a) = 0. Calculate a. -1, -2/7, 1 Suppose 213 + 2 = 5*o. Factor o*f**3 - 24*f - 16*f**3 + 0*f + 9*f**2 - 12. 3*(f - 1)*(3*f + 2)**2 Let g(t) = 15*t**4 - 75*t**3 - 18*t. Let a(y) = -7*y**4 + 38*y**3 + 8*y. Let w(k) = 9*a(k) + 4*g(k). What is s in w(s) = 0? 0, 14 Let x = -4 + 16/3. Let n(o) be the first derivative of 1/2*o**4 + 1 + o**2 + 0*o - x*o**3. Find y, given that n(y) = 0. 0, 1 Let s(f) be the first derivative of f**5/50 + f**4/15 - 5*f - 1. Let t(w) be the first derivative of s(w). Find x, given that t(x) = 0. -2, 0 Let p = -19 - -87. Let a be 4/18 - p/(-18). Factor -r - 7*r**3 - r - 2*r**a - 6*r**2 + r**3. -2*r*(r + 1)**3
What is the derivative of 560068*l**2 + 1205919 wrt l? 1120136*l What is the third derivative of q**5 - 143260*q**4 - 144454*q**2? 60*q**2 - 3438240*q Find the first derivative of -255*m**3*o - 633*m**3 + 83*m*o**2 - 11 wrt o. -255*m**3 + 166*m*o What is the second derivative of -8*b*t**3 + 7*b*t**2 + 124*b*t - 960*b - 22*t**3 - 14*t**2 - t wrt t? -48*b*t + 14*b - 132*t - 28 Find the second derivative of -4445742*c**5 - 160*c - 2387. -88914840*c**3 What is the third derivative of 110241*f**3*p**3 - 6911*f**2*p - 3*p**3 wrt f? 661446*p**3 What is the derivative of -154*w**4 + 4*w**3 + 23*w - 4569839? -616*w**3 + 12*w**2 + 23 Differentiate -a**3*d**3 + 13286*a**2*d**3 - 10760*d**3 with respect to a. -3*a**2*d**3 + 26572*a*d**3 What is the third derivative of -6164*j*r**3*u + 28143*j*r**2 + 4*j*u + 9*r**5*u + 5*u wrt r? -36984*j*u + 540*r**2*u Find the second derivative of 8*p**3*q**3*z - 746*p**3*q*z**3 + p**3*z - 3*p**2*q*z + 5*p**2*z**3 - 12441*p*q**2*z**3 wrt q. 48*p**3*q*z - 24882*p*z**3 Differentiate 5*a*v**2*x - 2*a*v**2 - 151*a*v - 10*a*x + v**2*x + 2*v**2 + 9*v*x - 2*v with respect to x. 5*a*v**2 - 10*a + v**2 + 9*v Differentiate 9725*f**3 - 45235. 29175*f**2 What is the second derivative of 43*f**4*o**2 + 6340*f**2*o**2 - f*o**2 - 185916*f wrt f? 516*f**2*o**2 + 12680*o**2 Find the third derivative of 35*c**2*t**3 - 19*c**2*t**2 + 40*c**2 + c*t**3 + c*t**2 - 2*t**4 + 78*t**3 + 3*t wrt t. 210*c**2 + 6*c - 48*t + 468 What is the third derivative of -h**5 + 613586*h**3 - 717751*h**2? -60*h**2 + 3681516 Find the second derivative of 13138*p**3 - 46410*p. 78828*p Find the first derivative of -2*v**2 + 170077*v + 660937 wrt v. -4*v + 170077 What is the first derivative of -35004*c*p**2*s - 284*c*p**2 + 2*p**2 + 2*p - 2 wrt s? -35004*c*p**2 What is the second derivative of -435*g**4 - 392*g**2 + 383148*g? -5220*g**2 - 784 What is the first derivative of 2*v**3 + 12*v**2 + 1157*v + 136524? 6*v**2 + 24*v + 1157 What is the third derivative of 241*g**6 - 13*g**5 - 2*g**2 + 7377? 28920*g**3 - 780*g**2 What is the second derivative of -46673*z**5 + z**2 + 317409*z? -933460*z**3 + 2 Differentiate 2*v**3 - 494*v**2 + 17*v + 176869 with respect to v. 6*v**2 - 988*v + 17 What is the third derivative of 178176*l**6*v - l**5*v - 48219*l**2*v wrt l? 21381120*l**3*v - 60*l**2*v What is the second derivative of 40617*n**4*u + n**2*u**3 + 221*n*u - 88*u**3 wrt n? 487404*n**2*u + 2*u**3 What is the derivative of -4492612*m**3 + 708601 wrt m? -13477836*m**2 What is the third derivative of -103961*i**4*s - 2*i**2*s - 58658*i*s - 2 wrt i? -2495064*i*s What is the third derivative of -2053756*j*y**3 - j*y**2 - 6*j*y - 17*j + 35*y**2 + 10*y wrt y? -12322536*j Find the third derivative of -4*u**6 - 20*u**5 + 41*u**3 + 51488*u**2. -480*u**3 - 1200*u**2 + 246 Find the third derivative of 395338*l**3*x**3 - 2*l**3 + 84*l**2*x**3 + 16*l**2 - 30 wrt l. 2372028*x**3 - 12 Find the third derivative of -31256*k*o**4 - 6*k*o**2 - 11211*k - 3*o**4 - 2*o**2 - 1 wrt o. -750144*k*o - 72*o Find the third derivative of 4829*t**3 - 4*t**2 - t + 10. 28974 What is the third derivative of -q**2*r*z**2 + 361*q**2*z**3 - 3*q**2*z**2 + q**2*z + 5*q*r*z**4 - 7*r*z**2 + 2*r*z - 5*z**4 wrt z? 2166*q**2 + 120*q*r*z - 120*z Find the third derivative of -16*n**3*s**3 + 2*n**3*s**2 + 619*n**3*s - 2*n**2*s**3 + 16332*n*s**3 wrt n. -96*s**3 + 12*s**2 + 3714*s What is the third derivative of -18645*l**4 + l**3 + 25*l**2 + 27*l - 7? -447480*l + 6 Find the third derivative of -333113*y**4 - 1171102*y**2 wrt y. -7994712*y What is the second derivative of -124*f**3*v + 41*f**3 + 2*f**2*v + f - 794*v wrt f? -744*f*v + 246*f + 4*v What is the third derivative of -122183*f**3 - 4436*f**2 - 7*f? -733098 Find the third derivative of -7*k**4*l**3 + 34944*k**4*l - 2*k**2*l**3 + 3*k**2*l**2 + 12*k - 145 wrt k. -168*k*l**3 + 838656*k*l What is the third derivative of 30388*a**2*g**3*u**3 - a**2*g**2*u**2 - 189*a**2*u**3 - g**3*u**3 - 2*g*u**3 wrt g? 182328*a**2*u**3 - 6*u**3 Find the second derivative of -14668*b*t**2*u + 13*b*t**2 - 18*b*t*u**2 + 56*b*u**2 - 92*b + 3*t**2*u**2 wrt t. -29336*b*u + 26*b + 6*u**2 Find the third derivative of 7599*l**5*y**2 - 113*l**5 + 3*l**2*y**2 - l**2*y + 31206*l*y**2 wrt l. 455940*l**2*y**2 - 6780*l**2 What is the second derivative of 205913*i**2 + 1020*i - 61? 411826 Find the second derivative of -206*f*r**3 - 4*f*r - 12064*f - 147*r**3 wrt r. -1236*f*r - 882*r What is the second derivative of 91637*k**2 - 398*k + 67? 183274 What is the derivative of -52725*h*r - 13*h - 891168*r wrt h? -52725*r - 13 What is the second derivative of 39*u**5 + 3*u**4 + 1065*u**3 + 1212*u + 59 wrt u? 780*u**3 + 36*u**2 + 6390*u Find the first derivative of 20690*f*g**3 - 3*f*g**2 + 175813*g**3 wrt f. 20690*g**3 - 3*g**2 What is the second derivative of 590*g**5 - 3*g**3 - 2*g**2 - 27088*g - 4? 11800*g**3 - 18*g - 4 Differentiate -w**4 + 2*w**3 - 651*w**2 - 3*w + 3942642 wrt w. -4*w**3 + 6*w**2 - 1302*w - 3 Find the second derivative of -43*c**3*d*m*x + 5*c**3*m**2*x**2 + c**3*m**2 + 5*c*d**3*m**2*x - 3380*c*d**3*x**2 - d**3*m**2*x wrt x. 10*c**3*m**2 - 6760*c*d**3 Find the first derivative of 59075*w**3 - 109056 wrt w. 177225*w**2 Find the second derivative of -103226*m**2 + 123*m + 737. -206452 What is the third derivative of -8*l**3*m*n**3 - 10*l**3*m*n**2 - 34*l**3*m - 142*l**2*n**3 + 7*l*n**3 - 7*m wrt l? -48*m*n**3 - 60*m*n**2 - 204*m Find the third derivative of -1767*n**5 + 2*n**4 - n**3 + 393*n**2 - 4*n wrt n. -106020*n**2 + 48*n - 6 Find the third derivative of -29571*s**5 - 58*s**2 - 98 wrt s. -1774260*s**2 What is the second derivative of -7023*x**3 - 44979*x - 1? -42138*x Differentiate -43*i**3 - 278*i**2 - 2201 with respect to i. -129*i**2 - 556*i What is the third derivative of -3*h*s**5 + 5*h*s + 11*h - 7969*s**5 - s**3 - 3*s**2 + 3*s - 2 wrt s? -180*h*s**2 - 478140*s**2 - 6 What is the derivative of -s**4 - 1519*s + 2395079 wrt s? -4*s**3 - 1519 Find the third derivative of -74*d**3*g**2 + 65*d**3*g + 3*d**3 - 32607*d**2*g**2 - 3*d**2*g wrt d. -444*g**2 + 390*g + 18 Find the second derivative of 159272*x**2 - 3*x + 20538. 318544 What is the third derivative of -66165*l**3 + 2*l**2 - 139*l + 17? -396990 What is the second derivative of -21277*p*t**2 - 11*p*t + 5*p - 3*t**5 - 2*t - 95 wrt t? -42554*p - 60*t**3 What is the first derivative of 2*o**2 - 1119*o*x**3 + o*x**2 + 145*o + 55*x**3 + 7730*x**2 wrt o? 4*o - 1119*x**3 + x**2 + 145 Find the second derivative of 1520020*f**2 - 1172934*f. 3040040 Find the third derivative of 5427*j**6*q**2 + j**6*q + 11*j**2*q**2 - 5390*j*q**2 wrt j. 651240*j**3*q**2 + 120*j**3*q Find the second derivative of 8238*c**4*d + 3*c**2*d - 1164*c*d - 8*c wrt c. 98856*c**2*d + 6*d What is the first derivative of 55171*l**2 + 29301 wrt l? 110342*l Find the second derivative of -4*o**4 + 4*o**3 - 3690*o**2 - 817*o - 138. -48*o**2 + 24*o - 7380 What is the second derivative of 7*v**4 + 7935*v**2 - 165258*v? 84*v**2 + 15870 Find the third derivative of 84*m**4*q**3 + 273*m**4*q - m**2*q - 66*q**3 - q**2 + 27 wrt m. 2016*m*q**3 + 6552*m*q Find the third derivative of 77189*z**6 - 6473*z**2 wrt z. 9262680*z**3 What is the third derivative of 72508*g**3 - 111339*g**2 wrt g? 435048 Find the second derivative of 5*s**3*y + 31*s**3 + 36*s**2 - 9209*s*y wrt s. 30*s*y + 186*s + 72 What is the first derivative of 6*h**4 - 4238*h**2 + 90287? 24*h**3 - 8476*h Find the third derivative of -305433*c**3 - 10*c**2 + 9*c + 118. -1832598 Find the third derivative of 3*k**6*t + 1774*k**5*t + 3817*k**2*t + 3 wrt k. 360*k**3*t + 106440*k**2*t What is the first derivative of -4523925*o + 517740 wrt o? -4523925 Differentiate 234312*a**2*y**3 + 2726*a**2 - y**3 - 406 with respect to y. 702936*a**2*y**2 - 3*y**2 What is the first derivative of f**2*m**2 - 56761*f**2 + f*m**2 - 103*m**2 + 8*m wrt m? 2*f**2*m + 2*f*m - 206*m + 8 Find the second derivative of -4291*x**2*z**5 + x**2*z + 36238*x**2 - 4*z**5 wrt z. -85820*x**2*z**3 - 80*z**3 Find the second derivative of 365*o**3 - 43*o**2 - 601*o - 51. 2190*o - 86 Differentiate 7216*a*d**2*x**3 + 101*a*d*x**3 + 72080*d**2 - 5*d*x**3 wrt a. 7216*d**2*x**3 + 101*d*x**3 Find the first derivative of 3*s**3*u - 13073*s**3 - 255*s**2*u + 36*u wrt u. 3*s**3 - 255*s**2 + 36 What is the third derivative of f**6 - 3087*f**3 - 22359*f**2 + f wrt f? 120*f**3 - 18522 What is the third derivative of -m**6 - 33668*m**5 + 2*m**3 - 5*m**2 + 2*m - 5253 wrt m? -120*m**3 - 2020080*m**2 + 12
Solve -428*q - 8 = -424*q, -3*l - 82*q + 6*q = 158 for l. -2 Solve -4*f - f - 320 = -5*h, 885*h = 888*h for f. -64 Solve 2*m + 320 = -41*b, -2263*m = 3*b - 2267*m + 40 for b. -8 Solve f + 1 = -2, -7*m - 11*m + 6*f + f = 2*f + 39 for m. -3 Solve 548*t - 2012 = -5*j - 338, 2*t = 6 for j. 6 Solve -5*q = -c + 25, -4*c = -4*q - 50 + 63 - 33 for q. -5 Solve 22825*p = 4*h + 22827*p - 8, 4*h + p - 10 = 0 for h. 3 Solve 5*s - 30 = -2*x, 60 = 61*x - 104*x + 50*x + 10*s for x. 0 Solve 0 = -3*n - s + 14, 4*n - 52060*s - 16 = -52062*s for n. 6 Solve -3*w - w - w - 4*c - 133 = 0, 14*c + 447 = w for w. -1 Solve -5*r + 3*f + 98 = 0, -2858*r + f + 26 = -2863*r for r. 1 Solve -49*v + 45*v = 3*h - 7 - 18, 3*h - v - 46 = -26*v for h. 7 Solve 4*q - 41 = -20*x - x, -4*x - 14*q + 27*q - 17*q + 24 = 0 for x. 1 Solve 306*q + 2*m + 16*m = 307*q + 72, 3*m + 12 = -2*q + 6*m for q. 0 Solve -3*j = 4*y, 8*j - 11*j + 28 = 8*j + 10*y for j. 8 Solve -2*d = 2, -d - 2986 = -13*a - 3466 for a. -37 Solve 40*g - 12 = 38*g - 5*h - 77, 0 = -10*g + 2*h + 26 for g. 0 Solve -18855 + 18825 = 5*u, -2*g - 22 = 5*u for g. 4 Solve 0 = b + q + 3*q + 26, 4*b + 44*q - 41*q = -39 for b. -6 Solve -2*p + 275*f = -297 - 150 + 128 - 263, 0 = 5*p + 4*f - 72 for p. 16 Solve 2*f - 2*f + 98 = 18*s + 5*f - 3*f, -2 = -2*s + 47*f - 45*f for s. 5 Solve -5*r + v - 3 = 8 + 3 + 6, -9*r + 7*r = 18*v + 100 for r. -5 Solve -5*z + 4215 = 30*h + 4480, -2*h = 2*z + 16 for h. -9 Solve -i - 4*l - 85 = 0, -82628 = -5*i + 22*l - 82171 for i. -1 Solve 0 = 5*t - 3*o + 18, 60*o + 28*o - 88 = -5*t + 33*o - 338 for t. -6 Solve -11*q - 2 = -3*q + 2*m, 130*m - 128*m = -3*q - 2 for q. 0 Solve -3*t + 4*u = 3, 5066*t + 2*u = 5071*t + 3*u + 4*u - 30 for t. 3 Solve 0 = 2*a + 4*c + 51 - 63, 12*a - 6*c = 72 for a. 6 Solve -p + 16 + 18 = -2*p + 4*o, 5*p + 215 = 29*o for p. -14 Solve -420 = -5*n + 5*g, -2*g = 86823*n - 86824*n + 164 for n. 4 Solve -1348*m + 0*c - 8 = -1347*m - c, -2*c = 2*m - 8 for m. -2 Solve b + 5*j = 3, 23*j + 20 = -2*b + 26*j for b. -7 Solve 11*i - 2*i - 60 = -4*j, 218*j = 213*j - 2*i + 38 for j. 6 Solve i = 5*f - 139044 + 139057, 5*i + f - 169 = 0 for i. 33 Solve -r = 4*d + 135, 348*r - 345*r + 541 = -20*d + 2*d - 68 for d. -34 Solve 0 = -y - 4*x - 46, 41*y - 24*x + 119*x + 1138 = 40*y for y. 2 Solve 48402*j = 4*w + 48417*j - 159, 3*w + j + 1 - 10 = -0*w + 18 for w. 6 Solve 5*v = -3*c + 35, 57 - 105 = 13*v - 22 for c. 15 Solve -2*n + h = -23, 6*n + 18*h - 56*h + 812 = 3*n + 737 for n. 13 Solve -3*a + l - 43 = 0, -5*a = 7*l - 483 + 208 for a. -1 Solve 5*i - 93*p + 27*p + 741 = 0, 1701 = -2*p + 1723 for i. -3 Solve 2*r - 9*m = -11*m + 10, -2*r - 18*m - 34 = -92 for r. 2 Solve -6 = 15*a - 3*q, 5*a - 63217 = -5*q - 63207 for a. 0 Solve -4*d - 26 = -6243*l + 6242*l, -4*l + 19 = d for d. -5 Solve 3*n - 17 = 53*z - 79*z, 4*n + 10 = -2*z for z. 1 Solve -117 = -3*v + 5*p - 118, 0 = 5*v + 2*p - 0*p + 12 for v. -2 Solve 30972*n - 30974*n + 197*s - 1176 = 0, -3*n - 4*s = -33 for n. 3 Solve 14*n = 3*l - 86, 198 = -2*n - 4*l + 168 for n. -7 Solve u - w + 12 = 0, 0*u + 27106*w = -3*u + 27104*w + 49 for u. 5 Solve 3*q + 1516 = 2*u + 1478, 3*u + 10*q + 117 = 0 for u. 1 Solve 4*j = t + 10, -5*j - 4*t - 725 + 748 = 0 for j. 3 Solve 4*y + 8 = 0, -8684*x = -8681*x + 2*y + 13 for x. -3 Solve 1418*r - 1419*r = 2*a - 54, -3*r - 4*a + 162 = 0 for r. 54 Solve 3*s - 19 = -3*x + 5*s, 10*s = 4*x + s + 6*s - 27 for x. 3 Solve 0 = -9*b + 27, 1772*r - 5*b - 1 = 1768*r for r. 4 Solve 4*u + 1682 - 1594 = -2*k, -4*k = -134*u - 2664 for k. -4 Solve 0 = 10*t + 2*h + 3*h + 45, 3*t + 4 = 20*h - 18*h + 1 for t. -3 Solve 28*t - 128 = 4*t + 4*l, 183*t - 185*t - 56 = 3*l for t. 2 Solve -8*h + 3*h + 7*h + 0 = -0, -v = 3*h - 85 for v. 85 Solve -3*c - 2292504*p + 2292500*p - 86 = 0, 14*c - 3*p = 97 for c. 2 Solve -5*p + 43635*u - 52 = 43706*u, 0 = -3*p - 5*u + 44 for p. 18 Solve 2*w + 52 = 16*z, -119*z + 3*w = -117*z - 56 for z. 1 Solve k - 3*m = -31, -18 + 102 = 41*k - 45*k + 4*m for k. -16 Solve -50*l - 19 = -3*c + 16, -4*l - 3*c = -3*l + 8 + 2 + 6 for l. -1 Solve 0 = 1223*l - 1228*l - 8*h - 18 + 89, 45*h = 43*h + 24 for l. -5 Solve -4*y - 126 = -2*a + 5*a, -1254*y + 1249*y - 399 = 9*a for y. 3 Solve 86*n - 1465 = 3*b, -82*b + 23*b - 55 = -3*n - 27*b - 28*b for n. 17 Solve -2*o = -5*l + 4, 166 = -774*l + 698*l - 2*o for l. -2 Solve -i = -5*c - 16, -5*i + 17 = 1193*c - 1197*c for c. -3 Solve -6*l - 12 = w, 5*w - 4062 = 2*l - 4026 for w. 6 Solve -2*z + 4*w - 12 = 0, -618 = 103*z + w - 3*w + 16*w for z. -6 Solve i = -5*o + 64, -733 + 647 = 80*o + i for o. -2 Solve 0 = b - 2*g + 12, -2*b - 299*g = -298*g + 29 for b. -14 Solve 99911*z + 29 = -l + 99916*z, 0 = -6*l - z - 3*z - 38 for l. -9 Solve 6*f - 63 = 3*s, s - 68 = -71 for f. 9 Solve 24*x = 24, 3*v - 73*x + 69*x = -16 for v. -4 Solve -4*j + 2*j + 2*i = -8, -2*i = j + 9 - 4 for j. 1 Solve 19*t + 3*c + 189 - 535 = -260, 2*t - 5*c - 20 = t for t. 5 Solve -5*g + 10475 = -10482 + 20967, 2*h - g = -4 for h. -3 Solve 4*c - 2*c = 5*m - 1, -4*m + 4*c = -m + 5 for m. 1 Solve 4*c + 1036 = -3*p + 1054, 9*p - p + 2 = 4*c + 3*p for c. 3 Solve -10*h + 5*u + 55 = 0, 3*h - 53 + 187 + 76 = -74*u for h. 4 Solve -78 = -21*h + 3*u + 6, -4*u + 48 = 4*h for h. 5 Solve 2*v - 594*m + 584*m = 0, -5*m - 30 = 5*v for v. -5 Solve -3*h + 21 = z, 2*z + 2*z - 317400 = 3*h - 317391 for h. 5 Solve 111 = 2*k + k + 3*j + 117, -2*k + 2*j + 8 = 0 for k. 1 Solve 8*i - 4*i - 744*u + 743*u - 30 = 0, 4*i - 24 = u - 3*u for i. 7 Solve 4*y + 584*u = 744*u - 300, 3*y + u - 13 = 2*u for y. 5 Solve 5*s - w - 10 = 0, 192*w + 71 = -41*s + 91*w + 99*w for s. -1 Solve -5*x = d + 31, 0 = 19*d - 6*d - 8*d - 5*x + 35 for d. -11 Solve 0 = -4*i + 4, 3*g + 29*i - 68*i - 3 = -41*i - 10 for g. -3 Solve 1677*y - 4 + 24 = 1721*y - m, m = -5*y - 20 for y. 0 Solve 2*v - 26 = u, 0*u + 61 = 7*u - 2*u + 6*v + 15 for u. -4 Solve -2*s + 9 = h, 36*h + 4*s + 5 + 1 = -s - 5 for h. -1 Solve 4*k + 2190*h - 48 = 2198*h, 4*h = -16 for k. 4 Solve 302*i - 6*u = 299*i - 738, -i - 4*u = -504 for i. 4 Solve 48857*s - 48777*s = 5*u - 1745, 0 = s - u + 19 for s. -22 Solve 0 = 2*j - h + 27, 4*j + 131966*h = 131971*h - 141 for j. 1 Solve -8*h - 2*i - 144 + 186 = 0, -3*h - 4*i + 18 = -14 for h. 4 Solve -5*i - 25 = -2*o, -22*o = -3*o + 3*i + 15 for o. 0 Solve 0 = 5236*u - 5241*u + 10*y + 60, -3*u + 2*y = -20 for u. 4 Solve l + 3*l = -4*v + 5 - 9, 76*v + l - 103 = 127*v for v. -2 Solve 4*v = -11*n - 3706 + 3842, -v + 43 = 5*n for v. 23 Solve m - 5 = -794*z + 398*z + 398*z, -6*m + 68 = 4*z - 2*m for z. 4 Solve -y = -3*b - 0*y + 4*y - 127, -3*b + 6*y - 5*y = 35 for b. -4 Solve r - 10 = 5*k, -9*k - 119*k + 6*r + 11*r = 16*r + 133 for k. -1 Solve 3*d = 2*c, -537*d + 538 = 91*c - 539*d for c. 6 Solve 18 = x - 1109*u + 1105*u - 36, 3*x + 3*u - 117 = 0 for x. 42 Solve -4*b + 57 = -5*s + 10*s - 68, 4*b + 0*b - s - 119 = 0 for b. 30 Solve -c + 73 = 2*c - 3*q + 25, 0 = -6*c + 5*c + 7*q + 46 for c. 11 Solve -650*n - 375 = -653*n - 3*l, 3*n - 3*l - 260 - 145 = 0 for n. 130 Solve 457*k - 460*k = 5*l + 16, 0 = -5*k - 14*l - 55 for k. 3 Solve 7*q - 21 = 4*z, 21329*z - 21327*z + 15 = -q for z. -7 Solve d - 5*d - 40 = -13*w, 680*w = -5*d + 676*w - 131 for d. -23 Solve 54 = 4*w + 5*w, -5*w + 10*w = -12*l + 9*l + 30 for l. 0 Solve -7*b = 2*x - 4633 + 4550, -73 = -2*x + 3*b for x. 38 Solve 3*j - 3*t + 138 = 0, 14776*j - 14780*j = -10*t + 448 for j. -2 Solve 6261111*c - 6261112*c - 5*h + 1 = 0, 0 = 4*c + 2*h - 4 for c. 1 Solve -16774*t + 16782*t - 156 = 5*s, 4*t - 4*s = 84 for t. 17 Solve v = -2*z + 21, -47209*v - 55 = -47214*v - 5*z for v. 1 Solve 233 = -2*w + 1333*a - 1328*a, -3*a = -w - 139 for w. -4 Solve -5*t = -j + 21, 10483*t - 10486*t - 13 = -j for t. -4 Solve -4*q - 56 = 3*l, 5*l + 168 = -6000*q + 6012*q for l. -24 Solve 3*i + 496*l - 1000*l + 503*l - 9 = 0, -7*i + 0*l = 2*l - 47 for i. 5 Solve -13*w + 329 = -5*y + 319, 0 = 2*y + 9*w + 4 for y. -2 Solve 0 = -3*b - 3*l + 24, 1886*l - 1890*l + 58 = 6*b for b. 13 Solve 5*o = 5*t, 4*o - 1210*t + 8 - 2 = -1208*t for o. -3 Solve -3*i + 15 = -9621*n + 9621*n, -18 - 58 = -9*n + i for n. 9 Solve 108*o = m + 2973 - 2763, 0 = 4*m + 3*o - 30 for m. 6 Solve -q + 4*h - 120 = 11*q, -37 + 31 = 4*h - 2*h for q. -11 Solve 422 = 142*q + 2*o, -764 + 765 = -3*q + 4*q + o for q. 3 Solve o - 131167 = 3*y - 131220, 5*y + 185 = -5*o for y. 4 Solve c = 4*i + 14, 115*c + 15*i + 104 - 17 = 113*c for c. -6 Solve -9*u + 21 + 119 = k - 43, -3*k = 4*u - 89 for k. 3 Solve 1082*d + 2*x + x - 17324 = 0, -6*d = -5*d + 5*x - 15 - 24 + 3 for d. 16 Solve -256 = -5*u - 161*r + 157*r, u - 60 = -3*r for u. 48
Simplify (t/(t*t*t/((t**(-11)*t)/t)))**(2/5)/(t/t**(-3/5))**(1/17) assuming t is positive. t**(-90/17) Simplify ((t**(-6)/t)/((t*t**17)/t))/(t/(t/(t/(t/t**(-2/13))))*t**(-2/31)) assuming t is positive. t**(-9584/403) Simplify ((k*k**1/k)**43/(k**(-1/4)*k/(k/k**6)*k))**2 assuming k is positive. k**(145/2) Simplify (m/((m*m/m**22)/m))/m**(-1)*(m/(m/(m*m*m**(1/4))))/m**(-6) assuming m is positive. m**(125/4) Simplify (h*h*h**10)**(-3/4)/(((h/(h**(2/13)/h))/h)/h**(-34)) assuming h is positive. h**(-570/13) Simplify (b/b**(-16))/((b*b**(-2/51)*b)/b)*(b/b**(1/7))/b*b*b*b*b**0 assuming b is positive. b**(6746/357) Simplify (p**(-30)/(p*p/p**(-7/3)))/(p**(-2/35))**(-1/59) assuming p is positive. p**(-212701/6195) Simplify ((l/(l/(l*l*l**(1/30)/l)))/l**6)**(-50) assuming l is positive. l**(745/3) Simplify (g**37*(g**(6/11)*g)/g)/(g**9*((g/(g**(-26)/g))/g)/g) assuming g is positive. g**(28/11) Simplify (a**26*a**30)/(a**(4/9)*a/(a*a**(-8)/a)) assuming a is positive. a**(419/9) Simplify (x/x**(3/5)*x**(-4/11)*(x**1)**(4/5))**(47/4) assuming x is positive. x**(1081/110) Simplify (q**7/q**(-5/2))/((q/q**(-1/17))/(q/q**13)) assuming q is positive. q**(-121/34) Simplify ((u**8*u)/((u**10/u)/u)*u*u**(-2/13)*u*u*(u**(7/3)*u)/u)**(1/2) assuming u is positive. u**(241/78) Simplify (u**19*u**(13/2))/(u/(u**(-1)*u))**(-2/7) assuming u is positive. u**(361/14) Simplify (((j/(j*j**(1/5)*j*j))/j**(-4))/(j**0/j)**16)**19 assuming j is positive. j**(1691/5) Simplify c**(-5/3)*c**(-11)*c**2*c**(1/3) assuming c is positive. c**(-31/3) Simplify (((n**0*n)/n)/n*n**21)**(-2/57) assuming n is positive. n**(-40/57) Simplify (x**(-12)*x**(-1/5))/(x**2*x**(-2)) assuming x is positive. x**(-61/5) Simplify (h**(-9)/((h*h/(h/(h*h**(-7))))/h))/(h/(h/(h/(h*h**(-10/3)))*h)*h*h**(-9/2)) assuming h is positive. h**(-11/6) Simplify j**(-8)*j**1*((j*j/j**(-1))/j)**(-11/2) assuming j is positive. j**(-18) Simplify (b**39*(((b/(b**(6/5)*b))/b)/b)/b)**(-7/5) assuming b is positive. b**(-1218/25) Simplify d/(d*d**(1/15))*d**(-2/7)*((d/(d/(d/(d/(((d/d**(-2)*d)/d)/d)))))/d)**12 assuming d is positive. d**(1223/105) Simplify x*x*x**17/x*x*x**(-2/7)/x*x*(x**(-1))**(-1/13) assuming x is positive. x**(1710/91) Simplify ((g*(g/(g**(-3)/g))/g*g*g*g)/g)**(1/3)*(g**(2/9))**(-2/11) assuming g is positive. g**(227/99) Simplify (s/(s/s**(1/4)))**(-2/3)*(s**12)**(-1/59) assuming s is positive. s**(-131/354) Simplify (k/k**(-2/9)*k/(k/(k/(k/(k*(k/(k/k**(-2/5)))/k*k)))))/((k**(-17)/k)/k**(-1/31)) assuming k is positive. k**(27607/1395) Simplify (c*c**2)**(20/11)*c**(-2/5)/(c/c**(-16)) assuming c is positive. c**(-657/55) Simplify ((r**12*r*r*r*r)/((r*r*r**0/r)/r))/(r**(-3/5))**(-15/4) assuming r is positive. r**(55/4) Simplify (((k/(k**(-1)/k))/k*k**3)/(((k**(2/11)/k)/k)/(k*k**(4/3))))**(-43) assuming k is positive. k**(-12986/33) Simplify (v*v*v**7)**(-38/7)*v*v**(-6)*v*v*(v/(v/((v/((v*v/(v**26/v))/v))/v*v)))/v*v assuming v is positive. v**(-188/7) Simplify (l/(l/l**(-1/14))*l/l**(1/7)*l*l)**(5/7) assuming l is positive. l**(195/98) Simplify (v*v*v**(1/4))**50/((((v/(v*v**(-2)))/v)/v)/(v*v*v/(v*v**(1/22)*v*v)*v*v*v)) assuming v is positive. v**(1270/11) Simplify ((f*f**(-15))/f**17)/(f**(-1/7))**(1/67) assuming f is positive. f**(-14538/469) Simplify (m/(m/(m**(-2/15)/m))*(m/(m*m**(4/7)))/m)/(m/((m**(1/2)*m)/m*m)*m*m**12) assuming m is positive. m**(-3193/210) Simplify ((n*n/(n/(n*n**(3/4))*n)*n)/(n/(n**15/n)))/((n*n*n**6/n)/n**(5/2)) assuming n is positive. n**(45/4) Simplify ((w*w**7*w)/w)/((w/(w*w/(w/(w/(w**(-3/23)*w)))))/w*w)*(w**(-7/2))**(12/7) assuming w is positive. w**(49/23) Simplify (d**(6/7)*d*d/((d/d**(9/4))/d)*d)/(d**10/(d/(d*d**(-3)))) assuming d is positive. d**(-25/28) Simplify ((w*w/((w/(w*w*w/w**0))/w))**27*w**(-4/7)*w*w*w**(3/8))**(-38) assuming w is positive. w**(-145559/28) Simplify ((w*w**10*w)/w**(-2/31))/((w**(18/5)*w)/((w**11*w)/w)) assuming w is positive. w**(2862/155) Simplify (j*j*j**5*j*j)**(-10/3)/(j/j**(-3))**(-40) assuming j is positive. j**130 Simplify o**(-6)/(((o/(o/(o/(((o/o**(-19))/o)/o))))/o)/o)*((o/(o*(o**(4/17)*o)/o)*o)/o)/o**(-6) assuming o is positive. o**(319/17) Simplify (((z*z**(-4)*z)**(-2/7))**(-41))**(-26) assuming z is positive. z**(4264/7) Simplify (w*w**(-1)*w)**2/(w*w*w**2)**34 assuming w is positive. w**(-134) Simplify (b**1*b)/b**(-19)*b**21/(b/(b/b**(-5/2))) assuming b is positive. b**(89/2) Simplify (f**(20/7)/f**(-1/15))/(f**(-29)*f/(f/f**(-1/33))) assuming f is positive. f**(36907/1155) Simplify ((h/(h**(1/12)/h*h))**48)**(-42) assuming h is positive. h**(-1848) Simplify (c**(-2/5))**(-11)/(c*c/((c**(-7)*c)/c))**50 assuming c is positive. c**(-2228/5) Simplify b**(-4/7)*b*b*b*b**(-14/5)*(b**(-6/17))**(-48) assuming b is positive. b**(9859/595) Simplify (w/(w/((w/(w*w*w/(w/(w*w**(1/2)))*w*w)*w)/w)))**(2/29)/(w**(-1/6)/(w/(w*w**(7/6)))) assuming w is positive. w**(-38/29) Simplify (u/(u*u**(-3/14)))/u**(2/9)*u**6/(u**7*u) assuming u is positive. u**(-253/126) Simplify (d/(d**(-7)*d))/(d*d**(3/5))*(d*d**3)**(7/11) assuming d is positive. d**(437/55) Simplify ((q/q**3*q*q**(3/13)/q)/((q/q**(-3/5))/q)**(3/7))**(-2/179) assuming q is positive. q**(1844/81445) Simplify p**(-14)/((p*p*p**13*p*p*p)/p)*p**(5/6)*((p*p**13)/p)/p assuming p is positive. p**(-109/6) Simplify (s**9)**(-32/7)*s**0*s*s**8*s assuming s is positive. s**(-218/7) Simplify (p*p*p**(7/6)*p)/p*p/p**(-5)*(p/(p/(p/(p*p**6)*p)))**(2/123) assuming p is positive. p**(745/82) Simplify (i**1)**13*(i**2)**(-15) assuming i is positive. i**(-17) Simplify (w**5*w)**(1/7)/(w/w**(-2/5)*(w/w**13)/w) assuming w is positive. w**(436/35) Simplify (r**4/r)/r**(3/8)*(r*r**(1/22))/r**(-6) assuming r is positive. r**(851/88) Simplify ((q*((q/((q*q**26*q)/q))/q)/q)/(q**(-4)*q))/(q**(-21)/((q**(1/4)*q*q)/q)) assuming q is positive. q**(-7/4) Simplify (((g*g/(g*g**(-3/5)))/(g/((g/g**(-7))/g)))/(g*g**(-1/2)*g)**8)**(-5) assuming g is positive. g**22 Simplify ((i**(-3/2)/i)/i**6)**(12/13) assuming i is positive. i**(-102/13) Simplify (m*m**22)/(m/(m*m**8/m*m)*m)*m**(6/13)/m**(-1/6) assuming m is positive. m**(2389/78) Simplify (((f*f/f**8)**(-7/6))**(-7/12))**17 assuming f is positive. f**(-833/12) Simplify ((w*w**(-2/21)*w)/w*w*w*w/(w/w**12))/((w/(w/(w/(w/((w/((w**2*w)/w)*w)/w)))*w))/w**(-1)) assuming w is positive. w**(334/21) Simplify j**(-3/7)/(j/j**(-2/19)*j*j)*j**(-4/15)/(j**(-12)*j) assuming j is positive. j**(14363/1995) Simplify l/((l*l**(-4/11))/l)*l/(l/(l/l**(-1/13)))*l*(l*l*l**(6/11)*l*l*l)/l*l**(-29) assuming l is positive. l**(-3005/143) Simplify ((x*((x*x**(2/23)/x)/x)/x)/(x**(3/2)/x*x))/(x*x**3/x*x)**(6/11) assuming x is positive. x**(-2325/506) Simplify (k**(2/91)*k**(-27))**(-10/13) assuming k is positive. k**(24550/1183) Simplify (g*g**(-4/9))/(g/((g*g**(-2/37))/g))*g**(-2/5)*g**(-1/4) assuming g is positive. g**(-7649/6660) Simplify (b/(((b*b**(-12/5)*b)/b)/b)*b*b**22)**(-4/13) assuming b is positive. b**(-528/65) Simplify (o*o**(1/2))**(1/8)*(o*o**(4/5)*o*o)/(o**(-2/17)*o) assuming o is positive. o**(4223/1360) Simplify (w/(w*w/(w*w**25))*w/(w*(w*w*w**(1/27))/w*w)*w*w*w*w)**(2/25) assuming w is positive. w**(1456/675) Simplify ((i/(i*i/i**(-31))*i*i)/i**(-7))/(i**1*i**13*i) assuming i is positive. i**(-38) Simplify (m**(11/5)*m**(-40))**38 assuming m is positive. m**(-7182/5) Simplify (f**(-2/5)*f)**(-3/10)*f*f*f**(-1/3)*f*(f/f**(-12))/f assuming f is positive. f**(2173/150) Simplify ((((l*l*l*l/l**(1/3))/l)**41)**8)**(3/14) assuming l is positive. l**(1312/7) Simplify (u/(u**(-3/4)*u))/((u**(1/16)/u*u*u)/u)*u**(-7/2)*u**2*u assuming u is positive. u**(3/16) Simplify ((r/((r**(-16)/r)/r))/r*r**(-23)*r)**36 assuming r is positive. r**(-144) Simplify ((a/(a/(a/a**(-2/19))*a))/a)**(-3/11)/((a**(-5/2)*a)/a)**(-7/2) assuming a is positive. a**(-7111/836) Simplify (n*n**(-3))**(-2/3)/(n*n**(2/7))**(1/4) assuming n is positive. n**(85/84) Simplify (o**26/((o**(-4/5)/o)/o))/(o**7/o)**(29/5) assuming o is positive. o**(-6) Simplify ((x**(-2)*x)/x*x**(1/13))/(x*x*x**(-19)*x/(x/(x**(2/23)*x)*x*x)) assuming x is positive. x**(4781/299) Simplify ((g/(g/((g*g/((g*g*g**7*g)/g)*g)/g*g*g))*g)/g*g)/(g*g*g/g**(-6))*(g**(3/4))**(-31) assuming g is positive. g**(-145/4) Simplify ((v/((v*v**10)/v))/v*v)**25/(v**(-1)*v**7) assuming v is positive. v**(-231) Simplify b**(1/8)*b/(b**(-6/7)*b*b*b)*b**(2/37)/b**(1/2) assuming b is positive. b**(-3033/2072) Simplify (f**43*f*f**22)**12 assuming f is positive. f**792
What is the p'th term of 40, -83, -408, -1037, -2072, -3615, -5768? -17*p**3 + p**2 - 7*p + 63 What is the n'th term of -89209, -89207, -89205, -89203, -89201, -89199? 2*n - 89211 What is the z'th term of 103974, 207942, 311910? 103968*z + 6 What is the a'th term of 1675, 3359, 5049, 6745? 3*a**2 + 1675*a - 3 What is the k'th term of -254, -550, -946, -1490, -2230, -3214? -8*k**3 - 2*k**2 - 234*k - 10 What is the c'th term of 795, 2861, 6303, 11121, 17315? 688*c**2 + 2*c + 105 What is the f'th term of -24245, -48491, -72737? -24246*f + 1 What is the u'th term of -25715, -25704, -25693, -25682, -25671, -25660? 11*u - 25726 What is the b'th term of -50718, -50719, -50720, -50721? -b - 50717 What is the j'th term of 34491, 68975, 103459, 137943? 34484*j + 7 What is the k'th term of 418, 490, 694, 1096, 1762, 2758, 4150? 11*k**3 - 5*k + 412 What is the p'th term of 271567, 543128, 814689, 1086250, 1357811, 1629372? 271561*p + 6 What is the w'th term of -30377, -60907, -91437? -30530*w + 153 What is the z'th term of 1406, 2391, 2958, 3107? -209*z**2 + 1612*z + 3 What is the p'th term of -2573, -2578, -2579, -2576, -2569, -2558? 2*p**2 - 11*p - 2564 What is the u'th term of 16, 89, 186, 295, 404, 501, 574, 611? -2*u**3 + 24*u**2 + 15*u - 21 What is the g'th term of 573830, 1147661, 1721492? 573831*g - 1 What is the q'th term of 35254, 70517, 105780? 35263*q - 9 What is the l'th term of 25834, 25838, 25842, 25846? 4*l + 25830 What is the m'th term of 556, 736, 914, 1090, 1264, 1436? -m**2 + 183*m + 374 What is the g'th term of 1162, 1897, 2634, 3373, 4114, 4857, 5602? g**2 + 732*g + 429 What is the q'th term of -296, -656, -1016? -360*q + 64 What is the q'th term of 1141361, 1141364, 1141381, 1141418, 1141481, 1141576, 1141709? q**3 + q**2 - 7*q + 1141366 What is the a'th term of -119, -45, 151, 529, 1149, 2071? 10*a**3 + a**2 + a - 131 What is the m'th term of 189, 342, 469, 570? -13*m**2 + 192*m + 10 What is the v'th term of -2112, -4278, -6472, -8706, -10992, -13342, -15768, -18282? -2*v**3 - 2*v**2 - 2146*v + 38 What is the n'th term of -13957, -55813, -125565, -223207, -348733, -502137? n**3 - 13954*n**2 - n - 3 What is the j'th term of 4378, 4365, 4352, 4339, 4326, 4313? -13*j + 4391 What is the t'th term of 35962, 71935, 107916, 143905, 179902, 215907, 251920? 4*t**2 + 35961*t - 3 What is the a'th term of -84183, -168351, -252499, -336621, -420711, -504763, -588771? a**3 + 4*a**2 - 84187*a - 1 What is the u'th term of 1505, 1510, 1515? 5*u + 1500 What is the y'th term of -77872, -155792, -233710, -311626, -389540, -467452? y**2 - 77923*y + 50 What is the k'th term of 193836, 775362, 1744576, 3101484, 4846092? k**3 + 193838*k**2 + 5*k - 8 What is the q'th term of 1294, 2559, 3762, 4873, 5862, 6699, 7354, 7797? -5*q**3 - q**2 + 1303*q - 3 What is the v'th term of 24, 210, 690, 1602, 3084, 5274? 23*v**3 + 9*v**2 - 2*v - 6 What is the i'th term of 6485, 6468, 6435, 6380, 6297, 6180, 6023, 5820? -i**3 - 2*i**2 - 4*i + 6492 What is the v'th term of 471969, 943943, 1415917, 1887891? 471974*v - 5 What is the f'th term of 2111, 2140, 2169, 2198? 29*f + 2082 What is the x'th term of -18713, -18952, -19191, -19430? -239*x - 18474 What is the h'th term of 47179, 47176, 47171, 47164, 47155? -h**2 + 47180 What is the d'th term of 3631, 7216, 10759, 14260, 17719, 21136? -21*d**2 + 3648*d + 4 What is the q'th term of -29238, -58542, -87842, -117138, -146430, -175718? 2*q**2 - 29310*q + 70 What is the a'th term of 181033, 181031, 181029, 181027, 181025? -2*a + 181035 What is the o'th term of 145, 87, 33, -11, -39, -45, -23? o**3 - 4*o**2 - 53*o + 201 What is the x'th term of 851, 1669, 2489, 3311, 4135, 4961, 5789? x**2 + 815*x + 35 What is the g'th term of -2143, -2145, -2139, -2125? 4*g**2 - 14*g - 2133 What is the h'th term of 2961, 11833, 26621, 47325? 2958*h**2 - 2*h + 5 What is the r'th term of 9845, 9914, 9981, 10046, 10109, 10170? -r**2 + 72*r + 9774 What is the h'th term of 106, 99, 92, 85, 78? -7*h + 113 What is the i'th term of 893, 894, 895? i + 892 What is the m'th term of 4413, 4387, 4359, 4329, 4297, 4263? -m**2 - 23*m + 4437 What is the l'th term of -4586, -18187, -40856, -72593, -113398, -163271, -222212? -4534*l**2 + l - 53 What is the x'th term of 85, 144, 273, 472, 741, 1080? 35*x**2 - 46*x + 96 What is the y'th term of -3353, -6749, -10147, -13547, -16949, -20353, -23759? -y**2 - 3393*y + 41 What is the m'th term of -44247, -88490, -132731, -176970? m**2 - 44246*m - 2 What is the k'th term of -97, -777, -2631, -6247, -12213, -21117, -33547, -50091? -98*k**3 + k**2 + 3*k - 3 What is the c'th term of -1359, -5432, -12229, -21756, -34019, -49024, -66777, -87284? -c**3 - 1356*c**2 + 2*c - 4 What is the u'th term of 734, 714, 694, 674? -20*u + 754 What is the f'th term of -342303, -342337, -342393, -342471, -342571, -342693? -11*f**2 - f - 342291 What is the r'th term of -10786, -10787, -10788? -r - 10785 What is the u'th term of 2321, 2332, 2345, 2360, 2377, 2396? u**2 + 8*u + 2312 What is the w'th term of 2373, 2340, 2283, 2202, 2097? -12*w**2 + 3*w + 2382 What is the w'th term of -176719, -176757, -176821, -176911, -177027, -177169? -13*w**2 + w - 176707 What is the o'th term of -175, -501, -1375, -3073, -5871, -10045, -15871, -23625? -46*o**3 + 2*o**2 - 10*o - 121 What is the k'th term of -12137, -48519, -109147, -194021? -12123*k**2 - 13*k - 1 What is the x'th term of -235, -2378, -8291, -19858, -38963, -67490, -107323, -160346? -314*x**3 - x**2 + 58*x + 22 What is the k'th term of 32379, 64757, 97133, 129507, 161879, 194249? -k**2 + 32381*k - 1 What is the u'th term of -4125, -8202, -12279, -16356, -20433, -24510? -4077*u - 48 What is the o'th term of -74, -414, -1312, -3050, -5910, -10174, -16124, -24042? -47*o**3 + 3*o**2 - 20*o - 10 What is the u'th term of 742, 1501, 2280, 3079, 3898, 4737? 10*u**2 + 729*u + 3 What is the d'th term of -13277, -53136, -119569, -212576? -13287*d**2 + 2*d + 8 What is the r'th term of 676, 1389, 2106, 2827, 3552, 4281? 2*r**2 + 707*r - 33 What is the f'th term of 3823, 3870, 3999, 4252, 4671, 5298, 6175? 7*f**3 - f**2 + f + 3816 What is the f'th term of 405, 3172, 10679, 25296, 49393, 85340, 135507? 395*f**3 + 2*f + 8 What is the j'th term of 2078, 4147, 6204, 8249, 10282? -6*j**2 + 2087*j - 3 What is the o'th term of 76955, 76956, 76965, 76988, 77031, 77100, 77201, 77340? o**3 - 2*o**2 + 76956 What is the i'th term of 1921, 14775, 49671, 117631, 229677, 396831? 1837*i**3 - i**2 - 2*i + 87 What is the d'th term of -1561, -6317, -14265, -25405? -1596*d**2 + 32*d + 3 What is the d'th term of -949950, -1899889, -2849830, -3799773? -d**2 - 949936*d - 13 What is the g'th term of -212, -285, -360, -437, -516, -597? -g**2 - 70*g - 141 What is the p'th term of 9985, 19957, 29913, 39847, 49753? -p**3 - 2*p**2 + 9985*p + 3 What is the b'th term of -12300, -24638, -36976, -49314, -61652, -73990? -12338*b + 38 What is the l'th term of 2013, 4034, 6053, 8070, 10085, 12098, 14109? -l**2 + 2024*l - 10 What is the t'th term of -11182, -11194, -11206? -12*t - 11170 What is the h'th term of 682, 973, 1264? 291*h + 391 What is the o'th term of -58, -215, -574, -1237, -2306? -17*o**3 + o**2 - 41*o - 1 What is the q'th term of -1537, -6199, -13969, -24847, -38833, -55927? -1554*q**2 + 17 What is the q'th term of -2196, -4380, -6566, -8754? -q**2 - 2181*q - 14 What is the q'th term of -2258, -4543, -6870, -9257, -11722, -14283? -3*q**3 - 3*q**2 - 2255*q + 3 What is the c'th term of 3149, 3141, 3125, 3107, 3093, 3089? c**3 - 10*c**2 + 15*c + 3143 What is the l'th term of -165, -669, -1915, -4275, -8121? -62*l**3 + l**2 - 73*l - 31 What is the g'th term of 142, 126, 124, 148, 210? 2*g**3 - 5*g**2 - 15*g + 160 What is the u'th term of -146, -802, -2542, -5894, -11386? -88*u**3 - 14*u**2 + 2*u - 46 What is the g'th term of -30, -238, -792, -1866, -3634, -6270, -9948? -29*g**3 + g**2 - 8*g + 6 What is the g'th term of -3796, -7624, -11494, -15412, -19384? -g**3 - 15*g**2 - 3776*g - 4 What is the h'th term of -13623, -27246, -40877, -54522, -68187? -h**3 + 2*h**2 - 13622*h - 2 What is the g'th term of -105690, -211389, -317088, -422787, -528486? -105699*g + 9 What is the q'th term of -36619, -73254, -109889, -146524, -183159, -219794? -36635*q + 16 What is the v'th term of -1912, -3358, -4802, -6244? v**2 - 1449*v - 464 What is the p'th term of 380482, 760968, 1141454, 1521940, 1902426? 380486*p - 4 What is the b'th term of 1139, 1406, 1673, 1940, 2207, 2474? 267*b + 872
Is 72138000 a multiple of 3000? True Is 125643711 a multiple of 821? False Is 50714840 a multiple of 158? True Is 9699 a factor of 47040150? True Is 216356607 a multiple of 109? True Is 61 a factor of 518817952? False Is 12 a factor of 1757903? False Does 228 divide 3506010? False Does 183 divide 8745005? False Is 71 a factor of 1813062? False Is 69 a factor of 64710344? False Does 68 divide 5374584? True Is 214391904 a multiple of 122? False Is 168 a factor of 40551504? True Is 74 a factor of 41429270? True Is 7 a factor of 12091938? False Is 162494100 a multiple of 30? True Is 47380677 a multiple of 1093? False Does 15 divide 5106533475? True Is 159 a factor of 93195344? False Does 142 divide 35656768? True Is 297998844 a multiple of 3310? False Is 53 a factor of 569768179? True Does 82 divide 28969524? False Does 857 divide 105178934? False Does 7 divide 1134910? True Does 38 divide 62167106? False Is 425 a factor of 21671037? False Is 744 a factor of 209336304? True Is 107 a factor of 43061829? True Is 320 a factor of 63329920? True Does 37 divide 75039354? False Is 22 a factor of 225897804? True Is 2684 a factor of 358493761? False Is 1784402928 a multiple of 396? True Does 697 divide 277956115? False Is 4552 a factor of 2297602976? False Is 22850869 a multiple of 21? False Is 394314803 a multiple of 1556? False Is 35 a factor of 4465375460? True Is 26 a factor of 4049069? False Does 3475 divide 1580165900? True Is 12174097 a multiple of 444? False Does 3180 divide 26314500? True Is 80 a factor of 39618847? False Is 1954181280 a multiple of 1065? True Is 354915451 a multiple of 20? False Does 891 divide 17021664? True Is 1937 a factor of 1132906749? True Is 8 a factor of 332259408? True Is 1247290 a multiple of 170? True Is 33422376 a multiple of 24? True Does 12 divide 76630619? False Does 2269 divide 251842364? False Is 427 a factor of 270067252? True Does 20 divide 752584721? False Does 22 divide 72886? True Does 16 divide 21587088? True Is 1495478908 a multiple of 5164? True Is 28730153 a multiple of 27? False Is 65009343 a multiple of 119? True Does 1104 divide 877198158? False Does 12 divide 465452818? False Does 22 divide 47519410? False Is 35174938 a multiple of 56? False Is 34512531 a multiple of 573? False Is 11 a factor of 58892427? True Is 16080312 a multiple of 276? True Is 22 a factor of 1837145002? True Is 3667222 a multiple of 3001? True Is 85120251 a multiple of 491? True Is 5732756 a multiple of 38? True Does 2572 divide 138630800? True Is 30399989 a multiple of 325? False Does 226 divide 215358564? True Is 47796025 a multiple of 1276? False Is 334 a factor of 1419926692? False Is 26867970 a multiple of 560? False Does 3271 divide 332840605? True Does 15 divide 38015490? True Is 50183913 a multiple of 18? False Is 715 a factor of 115979922? False Is 1110898240 a multiple of 565? False Does 194 divide 4112061578? False Is 15 a factor of 126991260? True Is 4356 a factor of 594219384? True Does 56 divide 38107014? False Is 18333150 a multiple of 110? True Is 101633541 a multiple of 81? False Is 2745588 a multiple of 15? False Is 2556639936 a multiple of 31? True Is 14157 a multiple of 121? True Does 370 divide 14160270? True Does 11 divide 38911254? False Is 7 a factor of 135575774? False Does 421 divide 24148631? False Is 13061455 a multiple of 95? True Does 28 divide 129851847? False Is 45326204 a multiple of 11? True Does 29 divide 25186384? True Is 61676831 a multiple of 19? True Does 80 divide 238078000? True Is 809 a factor of 7011858? False Is 104 a factor of 260653224? True Is 4954234 a multiple of 85? False Is 31 a factor of 275567540? False Is 11 a factor of 1382348? True Is 1585 a factor of 101343315? True Is 826205605 a multiple of 3869? True Does 69 divide 145078341? False Does 52 divide 41577172? True Is 69 a factor of 4165668? True Is 27527240 a multiple of 260? True Does 26 divide 88273431? False Does 163 divide 130814132? False Is 102006585 a multiple of 3735? True Does 23 divide 30169146? True Is 1377271421 a multiple of 2240? False Is 160490581 a multiple of 197? True Is 129216404 a multiple of 452? True Is 37266498 a multiple of 2718? True Does 10 divide 7589180? True Is 301359238 a multiple of 17? True Does 186 divide 55261716? True Is 384 a factor of 3557376? True Is 278406558 a multiple of 104? False Does 908 divide 13782332? False Does 18 divide 975724082? False Does 3855 divide 453895410? True Is 200248728 a multiple of 1289? True Is 24 a factor of 1763902? False Is 358 a factor of 3224974? False Does 7638 divide 548853616? False Is 254 a factor of 910706586? True Does 631 divide 35608950? False Is 34 a factor of 24378408? True Is 102179700 a multiple of 2205? True Is 290 a factor of 43355000? True Is 6589281 a multiple of 61? True Is 29 a factor of 379790264? True Does 97 divide 1497823436? False Does 15 divide 5306215444? False Does 1637 divide 58589867? True Is 571462208 a multiple of 15? False Is 8939045 a multiple of 6? False Does 53 divide 944949084? True Does 94 divide 3131134743? False Is 1977177795 a multiple of 2728? False Is 35 a factor of 34615307? False Is 347 a factor of 254066460? True Is 97552236 a multiple of 40? False Is 3945744 a multiple of 423? True Is 32670541 a multiple of 677? False Does 1332 divide 6927836? False Does 226 divide 48479073? False Does 298 divide 71043200? True Is 37021864 a multiple of 58? True Is 34 a factor of 792109390? True Is 17645367 a multiple of 291? True Is 8 a factor of 397928559? False Is 290081693 a multiple of 628? False Is 16 a factor of 122119680? True Is 3131 a factor of 773686782? False Is 13 a factor of 220188059? True Does 2977 divide 2534034664? False Is 129 a factor of 450736334? False Is 28 a factor of 11986884? True Is 17883432 a multiple of 1681? False Does 48 divide 32290416? True Is 1427022567 a multiple of 260? False Does 2 divide 25158549? False Is 83994876 a multiple of 12? True Does 1454 divide 350315128? True Is 566175929 a multiple of 11? True Is 897 a factor of 162855993? False Does 46 divide 384751171? False Does 29 divide 2537149390? True Does 855 divide 2079377378? False Is 1000405219 a multiple of 9? False Is 769371704 a multiple of 109? True Is 731 a factor of 8867761? True Is 14 a factor of 110966422? True Does 1279 divide 115427483? False Is 231356412 a multiple of 486? True Is 15924120 a multiple of 3? True Is 655 a factor of 39692020? False Is 831 a factor of 8880908504? False Is 14367672 a multiple of 44? True Is 14902055 a multiple of 17? False Does 2 divide 58382003? False Does 4437 divide 298900876? False Does 17 divide 3381350881? True Does 56 divide 133108864? True Is 755632692 a multiple of 3789? True Is 6 a factor of 312521697? False Does 22 divide 3537306? False Is 75365718 a multiple of 97? False Is 59 a factor of 7500966? False Is 76548281 a multiple of 56? False Is 57 a factor of 123873816? False Does 746 divide 38267175? False Is 142359955 a multiple of 289? True Is 36792 a multiple of 45? False Is 8446070 a multiple of 6? False Is 15 a factor of 761430569? False Is 2163000 a multiple of 206? True Is 138407360 a multiple of 392? True Is 713611574 a multiple of 2543? True Is 82 a factor of 2339902308? True Does 84 divide 83448382? False Is 109 a factor of 932687058? True Does 879 divide 189599355? False Is 77550565 a multiple of 1075? False Does 15 divide 3597158? False Is 48 a factor of 75112829? False Is 3920560 a multiple of 10? True Does 2860 divide 556834969? False Does 3036 divide 201982044? True Is 74970529 a multiple of 1899? False Is 2205 a factor of 10385550? True Does 10 divide 78546460? True Is 20 a factor of 117544020? True Does 46 divide 7908840076? True Is 5 a factor of 109834? False Is 18 a factor of 90066663? False Is 2289185821 a multiple of 151? True Is 9961023 a multiple of 1011? False Is 2445480 a multiple of 45? True Is 3158 a factor of 171836254? True Is 35 a factor of 45693018? False Is 2252564542 a multiple of 204? False Is 62 a factor of 517449396? True Does 53 divide 145974319? False Is 25376690 a multiple of 16? False Does 3011 divide 691728644? False Does 985 divide 14276590? True Does 23 divide 449855? False Does 85 divide 2233548? False Does 25 divide 709798200? True Does 108 divide 11879007? False Is 388273301 a multiple of 37? True Is 208227954 a multiple of 38? True Does 3840 divide 492833880? False Is 89 a factor of 2661093106? False Is 17191987 a multiple of 239? True Is 48028156 a multiple of 25? False Is 20 a factor of 66512459? False Is 126073324 a multiple of 1534? True Is 3631745547 a multiple of 815? False Does 41 divide 821335534? True Does 344 divide 622972304? True Does 1228 divide 360938932? False Is 98 a factor of 405791483? False Is 2695 a factor of 48590850? True
Let z = 45 + -42. Suppose 126 = z*q - 0*q. Is q a multiple of 7? True Let x(d) = d + 3. Let l be x(-1). Does 16 divide 12/8*l*16? True Suppose 0 = -2*f - 4*p + 4, -5*f - 2 = 5*p - 17. Is 10 a factor of (22/f + 1)*2? False Let g = -36 + 40. Suppose -2*k - 107 = -7*k + 3*b, 0 = -g*k - 3*b + 64. Is k a multiple of 19? True Let h(f) = f**3 - 6*f**2 + 8*f - 7. Let t be h(5). Let a be (12/(-18))/((-4)/(-6)). Let s = a + t. Does 5 divide s? False Suppose -4*k - 2*a + 16340 = 0, -3*k + 7*a + 12256 = 8*a. Does 18 divide k? True Let a(k) = 112*k - 56. Does 24 divide a(6)? False Is (4 - (-287)/(-70)) + 8404/40 a multiple of 53? False Let c(m) = 7*m - 19. Let g(n) = 1. Let v(f) = c(f) + 4*g(f). Does 20 divide v(5)? True Let u(g) = 3*g**2 + 1. Let l be u(-1). Suppose -l*o + 209 = -43. Let r = 100 - o. Is 11 a factor of r? False Let a(i) = 25*i**2 - 27*i - 27. Is 11 a factor of a(-9)? False Suppose -5*k - 273 = -8*k. Suppose k = 5*v - 124. Is v a multiple of 5? False Suppose 39*k - 76824 = -33*k. Is 11 a factor of k? True Suppose 3*p = 0, d - p - 108 = 3*p. Suppose -32 = 4*g - d. Is g a multiple of 4? False Suppose 4*z + 6408 = 3*o, 5*o = -z - 4*z + 10645. Does 33 divide o? False Let z be (236/6)/(14/(-21)). Let r = 163 + z. Let c = r + -71. Is 11 a factor of c? True Let b = -15 - -12. Let d(a) = -4*a + 3. Let w be d(b). Suppose 0 = -2*y + w + 53. Is y a multiple of 13? False Let l = 90 + -60. Let t be l/(-105) + 1572/14. Suppose 3*x - t = 95. Is 31 a factor of x? False Suppose 4*h = -f + 2096, -6*h - 2098 = -f - 11*h. Is f a multiple of 48? False Let x = -41 - -38. Is 3 a factor of (-27)/x*4/6? True Let k = 1136 - 420. Does 3 divide k? False Is 292 + -5 + (-2)/(-1 - 1) a multiple of 12? True Suppose r - 92 = 3*u + 80, 792 = 5*r + 2*u. Let m = r + -16. Is 18 a factor of m? True Suppose -7*w + 6*w + 85 = 2*g, 0 = 2*w + 5*g - 168. Suppose 3*t - w = 2*t + l, -t + 83 = l. Is 50 a factor of t? False Let v(p) = p**2 + 23*p + 14. Is v(13) a multiple of 22? False Let d = 67 - 98. Let a = -16 - d. Let f = -13 + a. Is 2 a factor of f? True Suppose -309 = -4*r + z, -5*z = 9*r - 7*r - 171. Is 13 a factor of r? True Suppose -42*c + 44*c - 6 = 0. Suppose 2*q - 2 = 0, 5*n = 2*n + c*q + 354. Let h = -50 + n. Does 38 divide h? False Let o = -36 + 43. Suppose -3*a - 20 = -o*a. Is a a multiple of 2? False Let d(j) = -j**3 + 8*j**2 + 8*j + 12. Let k be d(9). Suppose -k*h + 8 = -h. Suppose -q - h*q + 68 = -4*p, 3*p = -q + 25. Does 4 divide q? True Suppose 4746 = 9*l - 5478. Does 71 divide l? True Let o(r) = r**2 + 4*r + 6. Let s(x) = -9*x**2. Let p be s(1). Let g = p - -3. Does 8 divide o(g)? False Let l = -644 - -1084. Does 8 divide l? True Is ((-14)/(-12))/((-47)/(-50478)) a multiple of 10? False Suppose 0 = 4*g - 411 - 21. Does 24 divide g? False Let i(u) = 3*u - 7. Let a be i(3). Suppose -z = a*z - 72. Is 23 a factor of 1650/z - (-1)/4? True Let u = 5 + -2. Let v be u/9*(-14 - 1). Is 15*(-1 + (-14)/v) a multiple of 9? True Let r = -908 + 1516. Is r a multiple of 19? True Is 20 a factor of 3 + (3828/(-10))/((-4)/10)? True Is 5 a factor of (-3)/((-45)/(-10))*-45 - 1? False Let y = -1207 - -2117. Is y a multiple of 26? True Suppose -n = 3*k - 4, -2*n = -5*k - 0*k + 14. Suppose 3*j + 3*v - 35 = -k*j, 2*v - 22 = -3*j. Is 3 a factor of j? False Let b be 20*(-3)/(-6)*4/10. Suppose 4*h = b*c + 108, -3*h - 3*c = h - 136. Is 8 a factor of h? False Let g = -64 - -55. Let i = g + 170. Is i a multiple of 24? False Suppose -5*o + 0*d + 513 = 4*d, o - 107 = -3*d. Suppose 3*j = -2*r + 83, 5*j = -4*r + 60 + o. Is r a multiple of 9? False Let y(i) = -i**3 - 8*i**2 + 8*i. Suppose -4*w = 3*c + 24 + 10, 0 = -5*c + 10. Does 30 divide y(w)? True Let g = -10 + 26. Let t be (g/(-20))/(6/(-15)). Is -7 + 18 - (t + 1) a multiple of 8? True Let o = 283 - 193. Let w = -12 + o. Suppose -2*f - w = 2*x - 4*x, 3*x + f = 117. Does 13 divide x? True Let a = 888 + -310. Suppose 4*w = a - 114. Suppose 4*x = -5*b + 32 + w, 4*b = 16. Is 16 a factor of x? True Does 63 divide (18/(-4))/(24/(-2624)*2)? False Let n(g) = -g**3 - 19*g**2 + 19*g - 6. Let a be (-2)/(-5)*(18/6 - 53). Is n(a) a multiple of 2? True Let s(h) = -3*h**3 + h**2 + h - 4. Let y(k) = 8*k**3 - 4*k**2 - 3*k + 12. Let p(z) = -11*s(z) - 4*y(z). Let t be p(-4). Is 16 a factor of (-8 - -4 - -10)*t? True Suppose -7*t = -19*t + 1596. Is 25 a factor of t? False Suppose q = -f + 97, 5*q + 97 = -3*f + 4*f. Let o = 139 - f. Does 19 divide o? False Let k = 449 - -61. Is 30 a factor of k? True Suppose -9*r - 8*r = -23987. Is r a multiple of 17? True Let h(p) = 22*p**3 + 9*p**2 + 12*p + 8. Does 13 divide h(5)? False Suppose -3*k + k - j + 53 = 0, 3*k + 2*j = 78. Does 26 divide 80/1 + k/14? False Suppose 2*o + o + 12 = 0. Let a be 96/(-10) - o/(-10). Does 18 divide (172/a)/((-11)/55)? False Suppose z = 5*z + 5*t - 18, -5*t - 31 = -3*z. Let s be 1 + -5 + z + 0. Suppose 22 = -s*n + 5*n. Is 6 a factor of n? False Let c = 565 - 209. Is 18 a factor of c? False Suppose 3*n = 3*o - 3666, 45*o - n - 4891 = 41*o. Is 9 a factor of o? False Let a = -133 - -237. Suppose -56 = 8*t - 64. Does 6 divide t + (a/4 - 3)? True Let j(w) = 17*w**2 - 2*w - 2. Let u = 3 + 0. Suppose 5*r + 6 = k, u*k = -3*r + k - 1. Is 8 a factor of j(r)? False Let b = -66 + 69. Let t(z) = 33*z + 9. Is 32 a factor of t(b)? False Is (-12)/(-27) + 6742/18 a multiple of 7? False Suppose -4*r + 8 = 5*y, 5*r - 8*r + 6 = 2*y. Suppose y*c = 6*c - 930. Is 31 a factor of c? True Suppose -4*m - 216 = -72. Let x = 50 - m. Is x a multiple of 32? False Does 5 divide (-2)/16 - -172*(-187)/(-544)? False Let s(x) = x**2 + 7*x + 2. Let c(v) = v. Let i(n) = -4*c(n) - s(n). Suppose 10*l + 56 + 34 = 0. Is i(l) a multiple of 6? False Let c = -93 - -95. Is 36/(-24) - (-27)/c a multiple of 6? True Suppose 5*g + 11 = -4. Suppose p = -l - 4*p + 12, 4*l - 2*p - 158 = 0. Let b = l - g. Is 6 a factor of b? False Let q be (-256)/(4 + -6) - 0. Suppose 0 = -3*b + 5*m + 22 + q, 144 = 3*b - 3*m. Is b a multiple of 14? False Let g = 6 + -5. Suppose -4*f - g = -y + 2, 3*f + 3 = 0. Let d(p) = -31*p**3 + 2*p + 1. Does 8 divide d(y)? False Let l = -30 - -31. Is 29 a factor of 12/2 + 83 + (-2)/l? True Suppose -4*p + p = -105. Suppose -5*l + 5*h + 0*h = -p, 0 = 5*h + 10. Suppose 3*z = -u + 5, l = -3*z - 3*u + 2. Is 2 a factor of z? False Let k be (-130)/(-8) - (-2)/(-8). Suppose -45 = 4*f + q, -q - 9 = 9*f - 8*f. Is 7 a factor of (k/f)/(6/(-63))? True Suppose 0 = -0*y - 5*y + 25. Suppose -y*f = 2*o - 330, o + 59 = -8*f + 9*f. Does 32 divide f? True Suppose -n + 13 + 16 = 0. Suppose p - 6 = -j + n, -p = -1. Is 4 a factor of j? False Let z be 9/(-5 + 2)*1. Let u(p) = -20*p + 1. Does 16 divide u(z)? False Let p(a) = -2*a**3 + a**2 - a. Let k be p(-2). Let v = 24 - k. Suppose v*c + 4 = 62. Is 6 a factor of c? False Let t(m) = 10*m. Let v be t(-4). Let w = -13 - v. Is 27 a factor of w? True Suppose -4*n = -h - 400, h = 4*h. Let v = 120 - n. Is v a multiple of 4? True Let y = 92 + 81. Is y a multiple of 24? False Let w(b) = b**3. Let n(d) = -d**3 - d**2 - d. Let k(m) = -m**2 - m - 1. Let l(h) = -k(h) - 2*n(h). Let x(r) = l(r) - 3*w(r). Is 3 a factor of x(-2)? True Suppose 0 = -9*y + 92 + 160. Let k = 92 - y. Is 32 a factor of k? True Let o(t) = 2*t**3 - 4*t**2 + t. Suppose r = -0*r + 3. Is o(r) a multiple of 21? True Suppose 3*s - 7*s = -2*u + 8, -3*s = -12. Is 4 a factor of 438/9 + (-8)/u? True Let n(i) = -304*i - 288. Is n(-7) a multiple of 115? True Let z = -101 + 103. Let h(w) = 35*w**2 + 9*w - 14. Is 13 a factor of h(z)? False Let j(v) = -v + 7. Let m be j(5). Suppose 150 = -5*t - 75. Is (m/(-6))/(3/t) a multiple of 5? True Let w be (20/(-12))/((-2)/(-6)). Let q be 21/2*(-3 + w). Let y = q + 157. Is 15 a factor of y? False Let t(j) = -j**2 - 23*j + 31. Let i be t(-23). Suppose -2*h + 4*h + 45 = 5*n, 5*n - 20 = h. Let r = i + h. Is r a multiple of 3? True Let b = -2039 + 4183. Does 16 divide b? True Let c = 151 - 115. Is 3 a factor of c? True Let i = -234 + 79. Let t = 100 - i. Is t a multiple of 60? False Let o = 1000 + -378. Does 3 divide o? False Let h(b) = 2*b**2 - 8*b + 2. Let v be h(-6). Let a = -84 + v. Let q = a - 25. Is 9 a factor of q? False Suppose 166 = -11*c + 9736. Is c a multiple of 87? True Let y be (-2)/(-9) - -338*91/18. Suppose 26 = -17*u + y. Does 11 divide u? True Suppose 16*k = -6*k + 6380. Is 19 a factor of k? False Let i(z) = 23*z**2 - 1. Let c be i(1). Let t = -32 + c. Does 12 divide 12/(-20) + (-576)/t? False Is 4*7/(-56)*(-3452)/2 a multiple of 17? False
What is the highest common factor of 75 and 343245? 15 Calculate the highest common divisor of 19296 and 132. 12 What is the greatest common divisor of 250 and 2090? 10 What is the greatest common factor of 120455 and 185? 5 Calculate the greatest common divisor of 70172 and 1908. 212 Calculate the highest common divisor of 621 and 2369. 23 Calculate the highest common divisor of 6149136 and 16. 16 Calculate the greatest common divisor of 415 and 535. 5 Calculate the greatest common divisor of 128 and 19336. 8 Calculate the greatest common divisor of 935 and 10989. 11 What is the highest common factor of 74700 and 110? 10 Calculate the highest common factor of 9645 and 15. 15 Calculate the highest common divisor of 28220 and 260. 20 Calculate the highest common divisor of 15820 and 2205. 35 Calculate the greatest common divisor of 59296 and 116. 4 What is the highest common divisor of 63 and 19607? 7 Calculate the greatest common divisor of 149 and 14. 1 Calculate the highest common divisor of 372 and 336846. 186 Calculate the highest common divisor of 1681482 and 876. 438 What is the greatest common divisor of 978963 and 141? 141 What is the highest common divisor of 86436 and 108? 36 Calculate the greatest common factor of 4149 and 75143. 461 What is the highest common factor of 352392 and 72? 24 What is the greatest common factor of 4602210 and 30? 30 Calculate the greatest common divisor of 36058 and 437613. 1639 Calculate the highest common factor of 6979 and 7. 7 Calculate the greatest common divisor of 371876 and 620. 124 What is the highest common divisor of 1936881 and 369? 369 What is the greatest common divisor of 5513 and 629? 37 Calculate the greatest common divisor of 7920 and 128370. 330 Calculate the highest common divisor of 315 and 140140. 35 What is the highest common factor of 60 and 204? 12 Calculate the greatest common factor of 53992 and 952. 136 Calculate the highest common divisor of 241905 and 15. 15 What is the greatest common divisor of 18 and 200457? 9 Calculate the highest common factor of 50468 and 592. 148 What is the greatest common divisor of 5542156 and 148? 148 What is the greatest common divisor of 951372 and 18? 18 What is the highest common divisor of 168 and 97104? 168 Calculate the greatest common divisor of 5993 and 270607. 461 What is the greatest common divisor of 256 and 18000? 16 Calculate the greatest common factor of 3310 and 36079. 331 What is the highest common factor of 7488 and 73728? 576 What is the greatest common divisor of 123915 and 330? 165 What is the greatest common factor of 13116477 and 33? 33 Calculate the highest common factor of 933 and 404611. 311 Calculate the greatest common divisor of 17818 and 59. 59 Calculate the greatest common factor of 125746 and 2. 2 What is the greatest common divisor of 336 and 116088? 168 What is the greatest common divisor of 1 and 15376? 1 Calculate the greatest common divisor of 206118 and 1254. 66 Calculate the greatest common divisor of 119 and 3251913. 119 Calculate the greatest common factor of 2040 and 26826. 102 Calculate the highest common divisor of 3817 and 121. 11 Calculate the highest common divisor of 175371 and 98. 49 What is the greatest common factor of 6445 and 20? 5 Calculate the highest common factor of 46260 and 140. 20 What is the highest common divisor of 120 and 65016? 24 Calculate the greatest common factor of 96 and 759888. 48 Calculate the greatest common factor of 5875 and 1375. 125 What is the highest common divisor of 1968941 and 622? 311 Calculate the greatest common factor of 21 and 2444883. 21 Calculate the highest common divisor of 35552 and 8787. 101 What is the greatest common factor of 646 and 20060? 34 Calculate the highest common factor of 223 and 125. 1 Calculate the highest common divisor of 534 and 762. 6 Calculate the highest common factor of 245 and 3871. 49 Calculate the highest common factor of 31995 and 6873. 237 What is the greatest common factor of 80535 and 13? 13 What is the greatest common factor of 125 and 10580? 5 Calculate the greatest common factor of 46242 and 93. 3 Calculate the highest common divisor of 12670 and 230. 10 What is the greatest common divisor of 8132 and 173126? 214 Calculate the highest common factor of 13986 and 448. 14 Calculate the greatest common factor of 17140 and 100. 20 Calculate the highest common divisor of 156757 and 68. 17 What is the greatest common divisor of 38 and 137712? 38 Calculate the highest common factor of 10206 and 21. 21 What is the greatest common factor of 252 and 6270600? 84 What is the highest common factor of 23868 and 36? 36 Calculate the greatest common factor of 3871 and 119. 7 What is the highest common divisor of 35092 and 7924? 1132 Calculate the highest common divisor of 2338 and 854. 14 Calculate the highest common factor of 6180 and 160. 20 Calculate the highest common factor of 15492876 and 181. 181 Calculate the greatest common factor of 136647 and 6804. 567 Calculate the greatest common divisor of 196 and 3448. 4 Calculate the greatest common divisor of 322 and 115966. 46 Calculate the highest common divisor of 247 and 136084. 13 Calculate the highest common factor of 9785 and 3708. 103 What is the highest common factor of 209792 and 447? 149 Calculate the greatest common divisor of 95502 and 132. 66 Calculate the highest common divisor of 63488 and 56. 8 Calculate the greatest common factor of 35757 and 12702. 87 What is the highest common factor of 117376 and 1664? 128 What is the greatest common divisor of 7276 and 119? 17 What is the greatest common divisor of 2899307 and 173? 173 What is the greatest common divisor of 56823 and 39? 39 What is the greatest common divisor of 2142 and 408510? 306 What is the greatest common divisor of 11 and 193116? 11 What is the greatest common divisor of 21336 and 80264? 1016 Calculate the greatest common factor of 27474 and 9462. 114 What is the highest common divisor of 1350 and 1710675? 225 What is the highest common factor of 2497 and 176? 11 Calculate the highest common divisor of 517 and 213521. 517 Calculate the highest common factor of 30607 and 254. 127 What is the greatest common factor of 254 and 25273? 127 Calculate the highest common factor of 57 and 87058. 19 Calculate the greatest common factor of 320 and 323776. 64 What is the highest common factor of 13 and 233441? 13 Calculate the highest common divisor of 25 and 685. 5 What is the greatest common divisor of 16 and 2224? 16 What is the highest common divisor of 238974 and 54? 6 What is the greatest common factor of 90276 and 3084? 12 What is the highest common factor of 222021 and 567? 81 What is the highest common divisor of 32 and 8457872? 16 What is the greatest common divisor of 64 and 205472? 32 What is the highest common divisor of 200 and 1537400? 200 Calculate the highest common divisor of 480 and 768. 96 Calculate the highest common divisor of 14 and 6889078. 14 What is the highest common factor of 748803 and 66? 33 Calculate the greatest common divisor of 221 and 102947. 13 What is the greatest common divisor of 3755898 and 62? 62 What is the highest common divisor of 130590 and 1050? 30 Calculate the greatest common factor of 4686 and 698640. 426 Calculate the highest common divisor of 3874 and 375182. 298 Calculate the highest common factor of 5060 and 6809. 11 Calculate the highest common divisor of 8749 and 13. 13 What is the greatest common factor of 208 and 34593? 13 What is the highest common divisor of 291 and 5335? 97 Calculate the highest common divisor of 120146 and 1066. 26 What is the greatest common divisor of 6 and 73776? 6 Calculate the highest common divisor of 527 and 164560. 17 What is the highest common factor of 4 and 1249484? 4 Calculate the highest common divisor of 7 and 288043. 7 Calculate the highest common factor of 250 and 3419750. 250 Calculate the highest common factor of 65429 and 273. 91 Calculate the greatest common factor of 213 and 7952. 71 Calculate the highest common factor of 622 and 3875371. 311 Calculate the highest common divisor of 540 and 184185. 45 Calculate the highest common divisor of 861740 and 660. 220 Calculate the highest common factor of 4658 and 5066. 34 Calculate the greatest common divisor of 3484 and 141772. 268 Calculate the greatest common divisor of 84952 and 56. 56 What is the greatest common divisor of 180 and 916740? 180 Calculate the greatest common factor of 16038 and 1809. 27 Calculate the highest common factor of 34496 and 3773. 539 What is the greatest common divisor of 62 and 29357? 31
What is prob of picking 1 o and 1 w when two letters picked without replacement from {o: 10, w: 4}? 40/91 What is prob of picking 1 b, 1 c, and 1 v when three letters picked without replacement from llbcbcccvcclkbb? 24/455 Two letters picked without replacement from rsroovssttssort. What is prob of picking 1 t and 1 v? 1/35 Two letters picked without replacement from uiidiqiiur. What is prob of picking 1 u and 1 d? 2/45 Two letters picked without replacement from {t: 3, a: 2}. What is prob of picking 2 a? 1/10 What is prob of picking 4 w when four letters picked without replacement from {v: 4, w: 6}? 1/14 Two letters picked without replacement from {e: 9}. What is prob of picking 2 e? 1 Calculate prob of picking 1 b and 1 o when two letters picked without replacement from lbbbblmobbml. 1/11 Three letters picked without replacement from lkgdlgkskkkggal. Give prob of picking 1 s and 2 g. 6/455 Calculate prob of picking 2 m when two letters picked without replacement from vmvvvvmm. 3/28 Three letters picked without replacement from {p: 5, z: 1, w: 3}. What is prob of picking 2 p and 1 w? 5/14 What is prob of picking 2 f when two letters picked without replacement from {f: 3, h: 1}? 1/2 Two letters picked without replacement from mmmyeymym. What is prob of picking 1 m and 1 e? 5/36 What is prob of picking 3 r and 1 m when four letters picked without replacement from mmmmrmmrmrmrrmrr? 9/52 Two letters picked without replacement from ijjfjfff. Give prob of picking 1 f and 1 j. 3/7 Calculate prob of picking 2 d and 1 x when three letters picked without replacement from {x: 1, d: 7, u: 2, y: 1, m: 5}. 3/80 Two letters picked without replacement from ijgihih. What is prob of picking 1 j and 1 h? 2/21 Calculate prob of picking 2 m when two letters picked without replacement from {q: 5, b: 1, s: 3, a: 1, m: 3, o: 1}. 3/91 Two letters picked without replacement from jjjdfjjjjjjddfj. Give prob of picking 1 d and 1 j. 2/7 Two letters picked without replacement from wscwyqs. What is prob of picking 1 y and 1 q? 1/21 Calculate prob of picking 2 x and 2 h when four letters picked without replacement from ssxxhsdsxlxshdsshhss. 12/1615 Two letters picked without replacement from {n: 1, k: 1, a: 1, z: 1, h: 1}. Give prob of picking 1 a and 1 n. 1/10 What is prob of picking 3 o when three letters picked without replacement from uooo? 1/4 Two letters picked without replacement from {v: 1, o: 1, m: 1}. Give prob of picking 1 o and 1 v. 1/3 What is prob of picking 1 w and 1 n when two letters picked without replacement from nennxewxsn? 4/45 What is prob of picking 3 n when three letters picked without replacement from rnnnnrrrnrnn? 7/44 Three letters picked without replacement from {y: 1, s: 1, c: 1, g: 1, v: 6, n: 1}. Give prob of picking 1 g, 1 c, and 1 v. 2/55 Four letters picked without replacement from feoooowwowofoooo. Give prob of picking 2 f and 2 o. 9/364 What is prob of picking 1 v and 3 n when four letters picked without replacement from vynvvnznnynynv? 80/1001 Calculate prob of picking 1 e, 1 p, and 1 u when three letters picked without replacement from {j: 2, p: 2, e: 1, u: 1}. 1/10 What is prob of picking 2 x when two letters picked without replacement from {z: 3, x: 5}? 5/14 Three letters picked without replacement from {k: 2, i: 3}. What is prob of picking 3 i? 1/10 Three letters picked without replacement from rrrrrcrrrcrtu. Give prob of picking 1 t and 2 r. 18/143 Calculate prob of picking 1 i and 1 j when two letters picked without replacement from iuuuj. 1/10 Two letters picked without replacement from {r: 1, d: 2, z: 1, o: 1, k: 2}. Give prob of picking 2 k. 1/21 Three letters picked without replacement from xxxxxx. Give prob of picking 3 x. 1 What is prob of picking 1 q and 1 k when two letters picked without replacement from {q: 1, b: 1, v: 3, k: 3, e: 5}? 1/26 Two letters picked without replacement from {m: 1, r: 2, k: 1, e: 2}. Give prob of picking 1 r and 1 m. 2/15 Four letters picked without replacement from eexzzzkxkkyz. What is prob of picking 3 k and 1 z? 4/495 Three letters picked without replacement from {p: 7, q: 1, s: 8, o: 4}. What is prob of picking 1 p, 1 q, and 1 o? 7/285 Three letters picked without replacement from {v: 5, y: 2, n: 5, h: 5}. What is prob of picking 2 y and 1 h? 1/136 Two letters picked without replacement from lcll. Give prob of picking 2 c. 0 Three letters picked without replacement from {y: 2, l: 5, x: 2, f: 2, u: 9}. Give prob of picking 1 f and 2 l. 1/57 Calculate prob of picking 2 v and 2 e when four letters picked without replacement from {v: 9, e: 3}. 12/55 Three letters picked without replacement from {r: 6}. Give prob of picking 3 r. 1 Calculate prob of picking 1 a, 1 d, and 1 o when three letters picked without replacement from oqdooodqgqa. 8/165 What is prob of picking 2 o, 1 p, and 1 z when four letters picked without replacement from zollzplzzollpndll? 2/595 Calculate prob of picking 1 y and 3 g when four letters picked without replacement from yggbbbggbbbgyb. 20/1001 Two letters picked without replacement from {e: 3, q: 5, k: 2}. What is prob of picking 2 e? 1/15 Four letters picked without replacement from hhhhzhhz. Give prob of picking 1 z and 3 h. 4/7 What is prob of picking 2 v and 1 l when three letters picked without replacement from nszdnsvvllvdlddn? 9/560 Calculate prob of picking 2 n when two letters picked without replacement from {r: 2, n: 3, u: 3}. 3/28 Two letters picked without replacement from nnssssnppnssps. What is prob of picking 2 p? 3/91 Three letters picked without replacement from {l: 3, u: 3}. What is prob of picking 3 u? 1/20 Calculate prob of picking 1 d and 2 r when three letters picked without replacement from rrdrdrrrrrrrr. 5/13 What is prob of picking 2 a when two letters picked without replacement from caxwxceeawww? 1/66 Calculate prob of picking 1 f, 1 g, and 1 m when three letters picked without replacement from egdmwfg. 2/35 Three letters picked without replacement from {d: 1, o: 1, b: 1, h: 1, a: 1}. Give prob of picking 1 o and 2 h. 0 Calculate prob of picking 2 p and 1 v when three letters picked without replacement from pvvpppzpy. 5/21 What is prob of picking 2 v and 1 j when three letters picked without replacement from {j: 1, k: 2, v: 2, w: 7}? 1/220 What is prob of picking 2 x when two letters picked without replacement from {a: 11, b: 3, x: 2, m: 3}? 1/171 Calculate prob of picking 1 j and 1 b when two letters picked without replacement from ejbebeejebbejebebeb. 7/57 Calculate prob of picking 1 f, 2 a, and 1 y when four letters picked without replacement from {o: 2, u: 7, y: 1, f: 4, a: 3, h: 1}. 1/255 Four letters picked without replacement from afffaffaff. What is prob of picking 4 f? 1/6 Two letters picked without replacement from {t: 1, o: 1, i: 5, v: 1, d: 1, h: 4}. What is prob of picking 1 d and 1 v? 1/78 What is prob of picking 1 n, 2 o, and 1 m when four letters picked without replacement from ooroowomanwwooann? 9/340 What is prob of picking 1 f and 1 x when two letters picked without replacement from xxgavxf? 1/7 Two letters picked without replacement from lmubddk. Give prob of picking 1 m and 1 d. 2/21 What is prob of picking 2 c and 1 y when three letters picked without replacement from {c: 3, l: 1, w: 2, y: 1}? 3/35 Two letters picked without replacement from {y: 4, p: 3, v: 4, j: 3, t: 6}. Give prob of picking 1 v and 1 p. 6/95 Four letters picked without replacement from {x: 1, f: 2, m: 8, b: 1, y: 1, q: 1}. What is prob of picking 1 x, 1 y, and 2 q? 0 Calculate prob of picking 2 m and 1 l when three letters picked without replacement from mmummlduzmzuzzmu. 3/112 What is prob of picking 1 g, 1 e, and 1 h when three letters picked without replacement from eghwwwwejw? 1/60 What is prob of picking 2 d, 1 i, and 1 f when four letters picked without replacement from {i: 3, f: 1, d: 3, e: 13}? 3/1615 Calculate prob of picking 3 x and 1 m when four letters picked without replacement from llfffffxfmlxfxbxbx. 1/306 What is prob of picking 1 l and 1 m when two letters picked without replacement from lumlllllmmul? 7/22 Calculate prob of picking 3 b when three letters picked without replacement from nbnbbnnj. 1/56 Calculate prob of picking 2 g and 2 e when four letters picked without replacement from {k: 2, g: 4, e: 3}. 1/7 Two letters picked without replacement from {z: 3, p: 4}. What is prob of picking 2 p? 2/7
Solve -u + m = -14, -28*m + 61 = 4*u - 33*m for u. 9 Solve 90 = 4*u + j, 2*u - 2160*j + 2161*j - 88 = 0 for u. 1 Solve 39 = -5*c - 41*i + 392, c + 116 = 5*c - 0*c + 12*i for c. 5 Solve -c - 265*s = -264*s + 93, 3*s + 12 = 0 for c. -89 Solve 24*g = -m - 44, -76*g - 12 = -74*g - 2*m for g. -2 Solve 494*p - 495*p = 3*t + 40 - 9, 3*t - 1409 = 35*p for p. -40 Solve -3*p = -3*k - 87, -14*k - 10*k = -4*p + 13*k - 31*k + 168 for p. 3 Solve 2*y - 11 = -18986512*x + 18986509*x, -y = -x + 2 for y. 1 Solve -2*i = -10*u + 830 - 238, -5094*u + 5099*u - 300 = 0 for i. 4 Solve -131*s + 1983*p - 1979*p = 707, -3*s + p - 28 = 0 for s. -5 Solve -4*f + 6 = -n + 51, 0 = 4*n + 90103*f - 90172*f - 657 for n. 9 Solve b = 3*r + 11, -2100 = 4*b - 5*r - 2109 for b. -4 Solve p = 3*w - 4 + 2, -14*p - w = -18*p - 30 for p. -8 Solve 28*b + 0*o = 32*b - 7*o - 9 - 30 + 2, 0 = -5*o - 35 for b. -3 Solve 20*b + 75*u = 17*b + 984, -4*u + 85 = -b + u + 23 for b. 3 Solve n + 3*u + 25 = 0, 0*u + 2*u - 39 - 103 = 5*n for n. -28 Solve 0 = 3*m - 3*n - 9, -21*n + 9 - 168 = -m + 4*m for m. -4 Solve 0 = -3*x - o + 76 + 13, 65*x - 56*x + 397 = 5*o for x. 2 Solve 4*r + 1764*t = 1769*t - 113, -t + 37 = 4*r for r. 3 Solve -3*y - 12*g - 39 = -4*y + 33*g, 5 - 3 = -y + 4*g for y. -6 Solve -1225*k = -1228*k - 5*f - 94, 2*f - 4*f - 49 = 5*k for k. -3 Solve 0 = -4*w - v - 63, 9*w + 2*w = 6*w - 7*v - 96 for w. -15 Solve 0 = 22*l + 2*t - 80, -43*t - 5 = -2*l - 40*t + 15 for l. 4 Solve 45*b + 5*n - 59 = 48*b, 0 = -2*b - 5*n + 6*n - 51 for b. -28 Solve 253*l + 224*l - 473*l + 112 = -3*m, -6*l - 168 = -2*m for l. -28 Solve 33274*p - 33277*p = -36, 3*t - 3*p = -39 for t. -1 Solve -17*o + 314 = 4*r - 48*o, 105*o - 102*o = -5*r - 25 for r. 1 Solve -42*v = -517*v - 27*y + 24*y - 2324, -5*v - 42 = -y - 0*y for v. -5 Solve 490*m = 488*m + 2*o - 2, 0 = -5*m - 24*o + 111 for m. 3 Solve -299*k = -301*k + 2*z - 90, 12*k = -14*z + 11*z - 585 for k. -48 Solve -3*t - 7 = r, 0 = -r - 1066*t + 1052*t - 29 for r. -1 Solve 0 = -28*a - 18*i + 75*i - 56*i + 87, a + 3*i = -6 for a. 3 Solve -177*w + 18 + 0 = -3*q - 162*w, -q = -9*w - 14 for q. -31 Solve -f + w + 3 = 0, 5*f - 16 = 4*w + 11 - 15 for f. 0 Solve -345*w + 343*w - 31 = -5*t, 13*t - 3*w = 52 for t. 1 Solve -2*c + 209*u - 34 = 212*u, 0 = -2*c - 2*c + 2*u - 4 for c. -5 Solve -4636201*q = -4636196*q + 3*c + 160, -95 = 2*q - 5*c for q. -35 Solve u = -4*j + 16, -4*j - 427*u + 20 = -425*u for j. 3 Solve 0 = 2*j + 5*p + 143, -10*p + 73 = -j - p - 12*p for j. -64 Solve -5393*k - 230 = -3*n - 5436*k, -3*n - 2*k + 25 = 0 for n. 5 Solve 11 = -i - 10*g, -8*g + 46457 - 46482 = -0*i - i for i. 9 Solve -250 = -5*t, -2*b - 381 = t - 437 for b. 3 Solve -5*u + 3*a + 4*a - 4*a = -0*a + 101, 21*a = -2*u + 4 for u. -19 Solve 507*o - 504*o = -5*i + 99, 81 = 58*i - 53*i - 3*o for i. 18 Solve 7*t - 5*t - 5*w - 5 = -75, t = -2*w - 26 for t. -30 Solve m + 22615*z + 2 = 22614*z, 5*z + 10 = -3*m for m. 0 Solve -729*s = 3*t - 8*t - 724*s - 100, -5*s = -t - 104 for t. 1 Solve 3*m + 766 = -3*i + 742, -3*m + 4*i = -60 for m. 4 Solve 3*t - 3*s + 204 = 0, 9*s - 26*s = 4*t - 15*s - 33 - 85 for t. -3 Solve -132*y = 4*o + 3594 + 1030, -4*o - 109 = 3*y for o. -1 Solve 3959*t - 3962*t - b = 0, 2*t + 4*b - 40 = 0 for t. -4 Solve 1273*j - 63 = 1270*j + 5*q + 17, 12 = -3*q for j. 20 Solve 40*u = 5*s - 51*u + 94*u + 120, u - 96 = 4*s for s. -24 Solve 1619460 = 9*n - 3*l + 1619469, n - 19 = 7*l for n. -2 Solve 0 = -38*m + 45*m + a + 89, -14 = -m + 4*a - 0 - 6 for m. -12 Solve 4*p - 141*l = -2675, 72 = 121*p - 118*p + 5*l - 22 - 4 for p. 1 Solve 3*p + 5*r + 22 = 0, p + 50*r = 53*r + 2 for p. -4 Solve 22*n + 82 = -8*n + j + j, n + 3*j = 77 for n. -1 Solve -20*t = -o + 717, 4*o = 3*o + 2*t + 69 for o. -3 Solve 23*c + p = 118, 5*c + 885 - 904 = 2*p for c. 5 Solve -5*t + 20 = -2*i, -17*t - 8 = -302*i + 293*i - 19*t for i. 0 Solve r + 25*y - 9*y - 20*y = 20, 12 = 2*r - y for r. 4 Solve -23*k + 12*k + 3*d = -10*k - 20, -11 = -15*k + 12*k + 2*d for k. -1 Solve -31*i + 59 = 25*i - 52*i - 3*c, -30*i = -2*c + 70 for i. -4 Solve -4*m + 72*q + 21 = 9*q + 62*q, -222 = 6*q for m. -4 Solve -39*t + 37*t - 2 = 0, 7 = a - 5*t + 3 for a. -1 Solve -4*z + 2*z + 1 = z + 2*y, -z + 14 = 4*y + 17 for z. 1 Solve h + 15*f - 7*f + 59 = 0, 0*h = 4*h - 8*f - 16 - 19 - 9 for h. -3 Solve 0 = -m - 6*d + 963 - 932, 26*m - 29*m + 2*d - 27 = 0 for m. -5 Solve 11*r = 1113*q - 1117*q + 9, 3*r + 23 = 4*q for q. 5 Solve 4*k + 3*f + 34 + 12 = 13, 0 = -3*k + 2*f + 3*f + 26 for k. -3 Solve 5*j + 60 = 63*m, -4*j - 838*m - 48 = -835*m for j. -12 Solve 2*l - 133*u - 124*u + 150 = -259*u, 0 = 4*l - 18*u + 2*u + 320 for l. -76 Solve 2*d - 4*d = -i - d, 3*i + 2*d - 23 + 8 = 0 for i. 3 Solve 21*g + 2 = 2*g - 4*g - 3*f, -4*g = 30*f + 472 for g. 2 Solve 5*v + 3*n - 75 = 0, 761*v - 30 = 759*v - 5*n for v. 15 Solve 381*l - 382*l = 6*s - 10*s - 30, 40 = -3*s - 3*l + 10 for s. -8 Solve -5*r = 4*g - 16917 + 16928, 4*g + 15 = -r for r. 1 Solve -132 = -2*a - 4*m, -353*a + 353*a - 25*m = -75 for a. 60 Solve -11*d + 414 = 5*n, -230*d + 20 + 10 = 3*n - 229*d for n. -3 Solve u - 3 = u - 3*i, -2*u + 735 = 5*i + 744 for u. -7 Solve -2*j = 13*a + 20, a + 14*j - 113 = 2*a + 19*j for a. 2 Solve -3*x - 26909*k + 56 = -x - 26906*k, 2*k - 44 = 0 for x. -5 Solve 43*a + 25*a - 3*s - 113 = 23, -s + 8 = 4*a + 2*s for a. 2 Solve 3*q + 27 = 3*u, 2*u - 15 - 27 + 10 = -5*q for u. 11 Solve 1 - 9 = c - g, -50260*c + 50256*c + 0*g - 2*g - 2 = 0 for c. -3 Solve 3*z = -5*k - 1, 3*k - 3557*z + 3614*z + 111 = 0 for k. 1 Solve 19*q = -h + 223, -11 = -1747996*q + 1747993*q - 5*h for q. 12 Solve 7*m - 70 = -8*k, -6*k + 7*k - 2*k + 30 = 3*m - 0*k for m. 10 Solve 7*s + 9*m = -m + 15*m - 194, -2*s - 154 = 3*s - 19*m for s. -27 Solve -57 = 4*a + 5*b, -5*a - 84072 = -5*b - 84102 for a. -3 Solve -h + 5*o - 4*o + 6 = 5*o - 5*o + 21, o = 14 for h. -1 Solve 17*f + 56 = a + 55*f - 26*f, 4*f = 3*a + 32 for a. -4 Solve 0 = 5*s + s - 4*p - 8 + 28, -4*s - 3 = -6*p + 7 for s. -4 Solve 5*y + 40*p - 19 = 8*y - 6*y, -2*y - 16 = -2*p for y. -7 Solve 2*a - 14 = -75*w + 77*w, 3*w = a - 23 for a. -1 Solve 57*x = 228, 183*q - 11 = 182*q - 2*x for q. 3 Solve -s - 2*w - 6 = 3*s, 18*s - 39 + 6 = 3*w for s. 1 Solve 0 = -49*k + 54*k - 2*x - 22, 0 = -2*k - 30*x - 39 + 17 for k. 4 Solve 0 = -z + 2*t + 17 - 77 + 7, 0 = -2*z + t - 19 - 15 for z. -5 Solve 2*h - 11 = -5*t - 9, -351*t + 356*t - 5*h + 105 = 30 for t. -4 Solve -41 + 29 = 5*c - c + 4*i, -5*c = 4*i + 7 for c. 5 Solve 7*c = -5*q + q - 28, -q + 51*q - 4*c + 350 = 0 for q. -7 Solve -2*f - p + 51 + 52 = 105, -4*f + 16*p - 114 = 73*p for f. 0 Solve 47 - 19 = 2*y - 6*y - 2*m, 14 = -64196*y + 64195*y + 3*m for y. -8 Solve -3*m - 137 = -c, -17655*m - 43 = c - 17654*m for c. 2 Solve 4*s - 2 = w, 80 = -538*s + 544*s + 4*w for s. 4 Solve -135*b - 102 = -147*b - 5*y + 186, -4*y = 0 for b. 24 Solve -9 + 32 = -4*i + 7, -11*g - 3*i - 3*i - 38 - 26 = -i for g. -4 Solve 0 = x + 3*p + 11, 175138*x + p + 13 = 175133*x for x. -2 Solve -4*t + 6 = 214*g - 180, -4*t - 24 = 4*g for t. -7 Solve 120*z - 68 = -239*l + 243*l + 118*z, 99 - 15 = 2*z for l. 4 Solve -14*r = 56, 4*l - r - 18 = -9 + 47 for l. 13 Solve -3584095*q + 3584100*q + 34*w = -126, 2*q - 16 = 3*w for q. 2 Solve -4*g = -48*t - 420, -2*t + t + 0*g + 338 = 2*g + 153 for t. -1 Solve 2*f + 16*z + 130 = 0, 43*z - 47*z - 11 - 19 = -2*f for f. -1 Solve 20*y - 10*y = j + 92, 4*j - 6*y + 44 = -2*y for j. -2 Solve -2 - 3 = 16*x + 33*h - 32*h, -5*h = -4*x + 25 for x. 0 Solve 5*x + 6*g - 6*g + 10 = -g, 0 = 5*x - 10*g + 15*g + 10 for x. -2 Solve -4*d + 20 = 0, 4*l + 230 - 41 = -l + 6*l + 38*d for l. -1 Solve 5*y - 16 = -4*h + h, 10*y - 5*y - 24 = -7*h for h. 2 Solve 24*s - 7*b = 803, -5*b = 2*s + 95 - 203 + 69 for s. 32 Solve 6*y - 2*y = -4*d + 12, 4*y = -253*d + 255*d + y - 31 for d. 8 Solve 3*o = i + 47, 5274*o - 5276*o - 2*i - 70 = 0 for o. 3 Solve -2*s + s + 63*v = 61*v - 3, -5*v + 3 = s for s. 3 Solve -7*i + 17 = -1 - 38, 9*d + 2*d + 6*i = -4*d + 108 for d. 4 Solve 3*j - 40 = -7*y + 117, 85*y - 193 = 2*j - 39*y + 217 for j. 43 Solve -18*z + 4*r - 10 - 9 = -17*z, -2*z = -19*r + 82 for z. -3 Solve -3*r = 4*c - 182 + 135, 9*c - 9 = 4*r for r. 9 Solve -5*n + 2 = 46*s - 41*s - 2 - 1, n + 5*s + 30 = 11 for n. 6 Solve 1877 - 1909 = -4*s - 5*i, -20 = -4*s - 2*i for s. 3 Solve -c + 725892*r = 725890*r + 8, 5*c - r + 85 = 0 for c. -18 Solve 23*s + 3*b - 13 = -80, 8*b - 55 = -5*s + 3*b for s. -5 Solve 0*r - 32 = -4*r - 8, 0 = -4*w - 3*r - 2*r - 38 + 60 for w. -2 Solve 16*g - 3919 = -4095, 5*g + 88 = 11*a + g for a. 4
Calculate prob of picking 1 v and 3 e when four letters picked without replacement from eeeevve. 4/7 Calculate prob of picking 1 o and 2 f when three letters picked without replacement from {o: 17, f: 2}. 1/57 What is prob of picking 2 j and 1 t when three letters picked without replacement from jjtjttjjtttt? 7/22 Four letters picked without replacement from ffjjjjfjjjf. Give prob of picking 1 f and 3 j. 14/33 Calculate prob of picking 2 h when two letters picked without replacement from {j: 5, h: 14}. 91/171 Two letters picked without replacement from dvdiv. What is prob of picking 1 i and 1 v? 1/5 Two letters picked without replacement from {t: 6, k: 2, c: 1, q: 3, u: 3}. What is prob of picking 1 k and 1 q? 2/35 What is prob of picking 1 w and 1 y when two letters picked without replacement from wommommomoymmmw? 2/105 Four letters picked without replacement from {j: 9, r: 11}. What is prob of picking 4 r? 22/323 Calculate prob of picking 2 i when two letters picked without replacement from {k: 3, g: 4, i: 2, x: 2, u: 2}. 1/78 Calculate prob of picking 1 v and 2 n when three letters picked without replacement from vvvvvvvvvvvnnvvvvvvv. 3/190 What is prob of picking 2 s when two letters picked without replacement from eeeseseeeseeeeee? 1/40 Calculate prob of picking 3 t and 1 w when four letters picked without replacement from {o: 2, t: 7, w: 1}. 1/6 Two letters picked without replacement from {i: 6, x: 7}. What is prob of picking 2 i? 5/26 Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {y: 3, k: 3, q: 1}. 3/7 Two letters picked without replacement from arf. What is prob of picking 1 f and 1 r? 1/3 What is prob of picking 2 t and 1 l when three letters picked without replacement from {p: 1, t: 2, n: 2, y: 1, m: 1, l: 1}? 1/56 Calculate prob of picking 1 m and 2 a when three letters picked without replacement from nmnnanrnnnonrann. 1/560 What is prob of picking 1 k and 1 p when two letters picked without replacement from phhkhkkkhhkkkkhpk? 9/68 Two letters picked without replacement from cjcjccjcccjcjcjj. What is prob of picking 2 j? 7/40 What is prob of picking 3 l when three letters picked without replacement from {b: 4, l: 8, k: 6, n: 1, f: 1}? 14/285 Three letters picked without replacement from {o: 9, t: 9}. What is prob of picking 1 o and 2 t? 27/68 Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, u: 2, p: 4, s: 3, x: 2, b: 1}. 1/91 Calculate prob of picking 1 v, 1 w, and 2 g when four letters picked without replacement from wgggvwwgwggggwwwwww. 70/969 Calculate prob of picking 1 t, 2 i, and 1 e when four letters picked without replacement from teyiiieitt. 6/35 Three letters picked without replacement from {d: 6, o: 3, c: 4}. What is prob of picking 2 o and 1 c? 6/143 Calculate prob of picking 3 z when three letters picked without replacement from bwwbbzwbzzb. 1/165 What is prob of picking 3 f when three letters picked without replacement from {f: 3, a: 3}? 1/20 What is prob of picking 4 r when four letters picked without replacement from rrorereeroqeoeqmmeee? 1/969 Three letters picked without replacement from deqqtejppepetdd. Give prob of picking 1 e and 2 d. 12/455 What is prob of picking 1 q, 2 v, and 1 l when four letters picked without replacement from gqvqqqglvlvmm? 24/715 Calculate prob of picking 1 i and 3 e when four letters picked without replacement from ieebyyeeeeeeb. 56/715 Four letters picked without replacement from cbbbbbbrbcbbbb. What is prob of picking 2 b and 2 r? 0 Four letters picked without replacement from xxxxexxxxxexx. Give prob of picking 4 x. 6/13 Three letters picked without replacement from {n: 4, d: 5, s: 5, w: 1, b: 1}. Give prob of picking 1 d and 2 b. 0 Three letters picked without replacement from {g: 3, q: 2}. Give prob of picking 1 q and 2 g. 3/5 Four letters picked without replacement from rqqqrqr. What is prob of picking 4 q? 1/35 Calculate prob of picking 2 k when two letters picked without replacement from dkkkdk. 2/5 What is prob of picking 1 h and 2 x when three letters picked without replacement from xxhhx? 3/5 Three letters picked without replacement from gqnjqqgjjjjqnjjqg. What is prob of picking 1 j, 1 g, and 1 q? 21/136 What is prob of picking 1 v, 1 p, and 1 o when three letters picked without replacement from {p: 1, o: 4, v: 1, w: 4, y: 10}? 1/285 Three letters picked without replacement from ccccccccgcccccc. Give prob of picking 3 c. 4/5 Three letters picked without replacement from cvpvppgcpjvpcvpp. Give prob of picking 1 v and 2 j. 0 Two letters picked without replacement from qqqqqdqq. Give prob of picking 2 q. 3/4 Three letters picked without replacement from ddhhdid. What is prob of picking 2 h and 1 d? 4/35 Calculate prob of picking 3 x when three letters picked without replacement from xxuuupxp. 1/56 Three letters picked without replacement from {c: 1, r: 2, m: 1, w: 2, o: 6}. Give prob of picking 1 o, 1 m, and 1 w. 3/55 What is prob of picking 2 w when two letters picked without replacement from yyywwwww? 5/14 Three letters picked without replacement from xxxnxxxxxxn. Give prob of picking 2 n and 1 x. 3/55 Two letters picked without replacement from {j: 4, y: 2, a: 2, q: 3, h: 2, o: 2}. Give prob of picking 2 j. 2/35 Two letters picked without replacement from {j: 6, r: 3, o: 2, x: 1, f: 4, u: 2}. What is prob of picking 1 f and 1 j? 8/51 Three letters picked without replacement from {q: 5, t: 5}. Give prob of picking 1 q and 2 t. 5/12 What is prob of picking 2 t when two letters picked without replacement from {b: 3, f: 5, m: 2, t: 3}? 1/26 Two letters picked without replacement from {w: 5, o: 7, d: 7}. What is prob of picking 2 o? 7/57 Four letters picked without replacement from {n: 3, y: 1, c: 3}. What is prob of picking 1 n and 3 c? 3/35 Two letters picked without replacement from zhnffnnfzfhnnzn. What is prob of picking 2 h? 1/105 Two letters picked without replacement from {v: 2, m: 18}. What is prob of picking 2 v? 1/190 Two letters picked without replacement from {g: 4, f: 4, n: 2, q: 3, i: 3, u: 1}. What is prob of picking 1 u and 1 i? 3/136 Calculate prob of picking 1 r, 2 a, and 1 t when four letters picked without replacement from {d: 2, k: 1, g: 1, a: 5, r: 1, t: 3}. 6/143 Two letters picked without replacement from {v: 5, d: 3, t: 11, m: 1}. What is prob of picking 1 m and 1 t? 11/190 Two letters picked without replacement from ckhlludk. Give prob of picking 1 k and 1 l. 1/7 Three letters picked without replacement from abzztdz. Give prob of picking 2 z and 1 t. 3/35 Calculate prob of picking 1 n and 1 q when two letters picked without replacement from {q: 1, g: 1, t: 2, n: 1, o: 1, l: 1}. 1/21 What is prob of picking 2 k and 2 f when four letters picked without replacement from kkfjkjjfjjjjjfjk? 9/910 Two letters picked without replacement from bjoobohjjbohpbxohbo. What is prob of picking 1 j and 1 h? 1/19 Two letters picked without replacement from wvvv. What is prob of picking 2 v? 1/2 What is prob of picking 3 b and 1 s when four letters picked without replacement from {b: 3, n: 6, l: 2, s: 1}? 1/495 Two letters picked without replacement from oiotm. What is prob of picking 1 m and 1 i? 1/10 Four letters picked without replacement from {i: 1, q: 1, s: 2, l: 4, z: 2}. Give prob of picking 1 q, 2 z, and 1 l. 2/105 Four letters picked without replacement from {c: 1, z: 1, h: 5, w: 4, l: 1, g: 1}. Give prob of picking 2 h, 1 c, and 1 w. 8/143 Calculate prob of picking 2 g when two letters picked without replacement from whhwgjdghjws. 1/66 What is prob of picking 2 n and 1 e when three letters picked without replacement from eeucucnhenueeoe? 6/455 Three letters picked without replacement from {g: 1, p: 2, a: 2, o: 1, b: 1}. What is prob of picking 1 o and 2 a? 1/35 What is prob of picking 3 r and 1 a when four letters picked without replacement from {y: 6, a: 1, h: 4, z: 1, r: 6}? 1/153 Three letters picked without replacement from zzsszsssszzzzsssrsss. What is prob of picking 3 z? 7/228 Two letters picked without replacement from kmmwkammw. Give prob of picking 2 m. 1/6 Three letters picked without replacement from slsshsssuhshshs. Give prob of picking 2 s and 1 h. 144/455 What is prob of picking 1 m, 1 y, 1 u, and 1 v when four letters picked without replacement from vyvvvumvuyvmvmuvyumv? 144/1615 Two letters picked without replacement from etxttexctcxd. What is prob of picking 1 e and 1 x? 1/11
Let o(u) = 13*u + 25. Let i be o(0). Solve 0 = 7*p - 2*p - i for p. 5 Suppose 5*k = -r + 6*r - 35, 8 = -4*k. Suppose 2*v + r = 3*i, -5*v + 2*v = -3*i. Solve -i*a - 9 = 6 for a. -3 Let k = -122 + 121. Let q = 3 - k. Solve -6 = q*j - j for j. -2 Let w = -369 - -374. Solve -i = 9 - w for i. -4 Let t be (-3)/(-3 + 0)*-12. Let r(y) = -2*y - 7. Let x be r(t). Let g = 20 - x. Solve -g*s - 2*s = 0 for s. 0 Let m(s) = -2*s**2 - 2*s**2 - s + 1 + 3*s + 4*s. Let x(f) = -11*f**2 + 17*f + 4. Let i(o) = 8*m(o) - 3*x(o). Let q be i(4). Solve 4 + q = -2*v for v. -2 Let a be (-5 + 4)*(5 - -8). Let t = a + 15. Solve t - 5 = l for l. -3 Let l be (18 + -20)/(32/(-15) - -2). Solve 12*u = 15*u - l for u. 5 Suppose -3*r + 159 = -3*h, h + 3*r - 8 + 49 = 0. Let g be 4*(-45)/h + (-6)/10. Solve 0 = g*o - 4*o for o. 0 Let a(g) = -2*g**2 - 12*g + 30. Let s be a(-7). Solve s*u + 10 = 11*u for u. -2 Suppose -1792*x = -1798*x + 36. Solve 8*u = 5*u - x for u. -2 Let w(b) = b**2 - 13*b - 172. Let g be w(23). Solve -g*c + 59*c = 0 for c. 0 Suppose 0 = -a + 3*s + 18, 2*a - 1 + 5 = -4*s. Let k be (a/(-15))/(4/80). Let z be 16 + 2/(k/12). Solve 5 = -2*r + z for r. 4 Suppose -4*t - o = -8, 3*o + 9 = 5*t - 6*t. Solve t*v - 2*v - 1 = 0 for v. 1 Let b be ((-6)/18)/((-2)/30). Let o be 5/25*b/1. Let a(q) = q**3 + 2*q**2 - q + 1. Let r be a(-2). Solve -o + 4 = -r*p for p. -1 Suppose 4*n + 5*c - 7*c - 52 = 0, -4*n + 48 = -3*c. Let j(t) = t**3 - 14*t**2 - 16*t + 15. Let x be j(n). Solve -20 = -4*p - x*p for p. 5 Let w = -5 + 8. Let k be 39/12 + w/(-12). Suppose 10*b - 5*b + 5*a = 25, -k*b + a + 11 = 0. Solve 0 = -7*x + b*x + 15 for x. 5 Let m(f) = f**3 - 11*f**2 - 12*f - 15. Let p be m(12). Let q be (p + 7)*2/(-4). Let g be (q + -6)*(-3)/2. Solve g*w - 5 = -2 for w. 1 Suppose -18*c = -22*c + 20. Suppose c*m - 20 = -0*m. Solve m = -4*b - 0 for b. -1 Let h(i) be the first derivative of -i**4/4 - 5*i**3/3 - i**2 - 6*i - 4. Let v be h(-5). Let c be 36/10 + (-12)/(-30). Solve v = -c*f + 12 for f. 2 Let h be (-7 - (-12 + 5)) + 0. Solve -3*k + h*k = -15 for k. 5 Let l be (-94)/(-4) - (-7)/14. Suppose 2*i - 3*m = 62, 2*m - m = i - 30. Let a = i - l. Solve 13 - a = -3*g for g. -3 Let l be 3*(10/85 - 339/(-153)). Solve 10*o - 51 = -l*o for o. 3 Let z(n) = -2*n**3 + 2*n**2 - 2*n + 2. Let b be z(3). Let i be 230/b + 1/(-4). Let f be 1 + (-3)/i*2. Solve 3 - 1 = f*a for a. 1 Suppose 2*p = -3*w - 167, -3*p - 190 = 5*w + 90. Let x = w - -59. Solve x = 4*l - 8 - 4 for l. 3 Suppose -g + 78 - 28 = 5*k, -20 = -2*k + 4*g. Let n be ((-2)/(-8))/(k/120). Suppose -4*p + 4 = -t - 50, 0 = p + n*t - 20. Solve -4*w + p + 2 = 0 for w. 4 Let t(c) = -3*c**3 - 19*c**2 + 13*c - 7. Let f be t(-7). Solve 11*j - 10*j + 4 = f for j. -4 Suppose 249*y = 246*y + 39. Solve -12*j = -y*j - 2 for j. -2 Let j be (-5)/(-25) + 91/(-5). Let k = 18 + j. Suppose -2*y = -k*y. Solve y = f - 5 for f. 5 Let q(l) = -15*l - 14. Let x be q(-2). Suppose 0 = -4*p + n - 21, 4*n - 12 = p + 3*p. Let z = -1 - p. Solve -z*r - 4 - x = 0 for r. -4 Let m = 517 - 509. Solve -4*l - 12 = -m*l for l. 3 Let z be ((-3)/(-3) + 8 + -10)*-4. Solve 5*c + z = -21 for c. -5 Let j = 124 - 124. Solve -6*d + 28 - 10 = j for d. 3 Let p be (5 + (-8 - -2))*-5*1. Suppose -p*n + 0 = -20. Solve n*y - 4 = -0*y for y. 1 Let b(t) = 4*t - 11. Let m be b(4). Suppose -4*r = 3*n - 11, 2*n = m*r - 0*n - 8. Solve 0 = i + r*i + 12 for i. -4 Suppose 11 = -s + 13. Suppose h = s*h. Solve -3 = -h*t - t for t. 3 Let z be -2 + (15 - (-1 + -1)). Let k be ((-3)/(-1))/3 - -4. Solve k*a = -0*a - z for a. -3 Suppose 0 = 4*g - 8*g + 4*x + 28, x + 3 = 0. Solve 2*q - g = 4*q for q. -2 Let z(u) = u**2 + 2*u - 6. Let f be z(2). Solve -5*c + f*c = -3 for c. 1 Suppose -70 = 5*a - 95. Let r(t) = -t**2 + 9*t - 14. Let v be r(a). Solve -2*w + 2 = -v for w. 4 Suppose -q + 5 = 2*l, -q - 4 = -1. Solve -l*y = -3*y - 4 for y. 4 Let q be 1*(-3 - -4)*(-3 - -3). Solve q = 2*i - i + 3 for i. -3 Let m = 1317 - 1312. Solve m*f = 61 - 66 for f. -1 Suppose -3*a = -5*t + 2*a + 25, -22 = -5*t + 2*a. Let y = t - 1. Suppose 2*j - y*j = 0. Solve j = -d - d + 10 for d. 5 Let s(u) = -u**3 - 28*u**2 + 204*u + 2. Let a be s(6). Solve -h + 1 + a = 0 for h. 3 Suppose 3 + 0 = c, j = -3*c + 12. Let x(g) be the first derivative of g**2 - g - 14. Let y be x(j). Solve -y*w + 3*w = 0 for w. 0 Let s(f) = 29*f - 372. Let b be s(13). Solve 10*n = -b - 25 for n. -3 Let q = 8 - 2. Solve -5*j + q*j = -5 for j. -5 Let k be (-11)/(1*(-2)/4*-2). Let z(x) be the first derivative of x**3/3 + 9*x**2/2 - 16*x + 2. Let u be z(k). Solve 0 = u*h - 3*h + 12 for h. -4 Let u(j) = -2*j**2 - 28*j + 66. Let a be u(-16). Solve a*k + 5 = -5 for k. -5 Let o = 114 + -113. Solve 4*u - 9 + o = 0 for u. 2 Let d(q) = -q**3 - 2*q**2 - 3*q - 3. Let u be 24/(-10) - (-4)/10. Let h be d(u). Solve 4*v = v + h for v. 1 Let b(q) be the third derivative of -q**4/12 + 7*q**3/6 - q**2. Let w be b(2). Suppose p = -2*d + 2, 2 = 4*p - 6. Solve u + 6 - w = d for u. -3 Let w = -470 + 521. Solve -p = -w + 52 for p. -1 Let c = -5 - -5. Let p(z) = -z**2 - 15*z - 24. Let h be p(-13). Suppose 2*u = -u + 24. Solve -2*q - h - u = c for q. -5 Let d(w) = -w**2 - 4*w + 45. Let a be d(5). Solve 7*m + a = 7 for m. 1 Suppose 0 = 23*v - 30*v - 126. Let y be (-50)/v + ((-180)/81)/(-10). Solve -5 = -l - y for l. 2 Suppose -2*o + 212 = -52. Let a = o + -121. Solve -9*x + 6 = -a*x for x. -3 Let l(s) = s**2 - 6*s - 7. Let q be l(7). Suppose q = -2*m - 4, -4*z + 3*m - 12 + 38 = 0. Solve -z*d = -2*d for d. 0 Let k(t) = 7*t**2 + 43*t + 9. Let d be k(-6). Solve -5*n = -d*n for n. 0 Suppose 0 = -2*a - 62 - 64. Let x be (-19)/(-7) - 18/a. Suppose x*q + q = 20. Solve q = -f - 0*f for f. -5 Let k(v) = -v**3 + 30*v + 30. Let t be k(-5). Suppose p = -3*p + 112. Solve 3 - p = -t*y for y. 5 Let w be 5/((-14)/(-28) - (-2)/4). Let x be w/((-90)/(-4)) - 2/9. Solve x = -6*h + 3*h - 15 for h. -5 Let p = 155 + -155. Suppose -2*i = 2*i - 24. Let l(f) = -f**2 + 7*f - 2. Let h be l(i). Solve h*k = -p*k + 20 for k. 5 Let s = 116 - 114. Suppose m - 5*b = 20, -8 = -4*m + 4*b - s*b. Solve m = 5*n - 0*n for n. 0 Suppose 2*m + m = 42. Suppose 5*n - m = 6*n. Let g(x) = x**2 + 15*x + 14. Let v be g(n). Solve v = -4*q + 3 + 1 for q. 1 Let j(v) = v**2 - 4*v - 18. Let s be j(7). Suppose -5*c = -20, c = z + s*c - 13. Solve 1 = z*t - 4*t for t. 1 Let f(h) = -h**3 + 19*h**2 - 19*h + 27. Let i be f(18). Let q = 1 + i. Solve q*g = 13*g - 3 for g. 1 Suppose -4*i = -8 - 0. Suppose -l - 2*m + 32 = i*m, -2*l + 2*m = -34. Suppose 5*o - 33 = -4*w - 5, -2*w + l = 4*o. Solve -b - 1 = w for b. -3 Let k(u) = -u**3 + 6*u**2 - 5*u + 6. Let l be k(5). Let n(r) = 2*r**2 - 10*r + 6. Let g be n(l). Suppose -g = -2*q - q. Solve -4*a + a = -q for a. 2 Let v(r) = 2*r - 6. Let k be v(-14). Let p = k + 44. Solve 0 = i + i - p for i. 5 Suppose 4 = 4*q + 3*w - 4*w, q = -w + 6. Solve 0 = 3*a - q*a - 3 for a. 3 Let m = -635 - -641. Solve 0 = -9*k + 6*k - m for k. -2 Suppose -2*p = p - 102. Let q = -35 + 62. Suppose 0 = 5*a + 5*n - 11 - p, 2*a + 5*n - q = 0. Solve -2*w - a = 4 for w. -5 Let p = -748 + 761. Solve -x + 13 - p = 0 for x. 0 Let d be ((-4)/8)/((20/(-4))/150). Solve 8*w = d + 17 for w. 4 Let q(c) = 8*c + 134. Let x be q(-16). Solve 2*a + 2 = -x for a. -4 Let n(k) = -k**3 + 12*k**2 - k + 12. Let d be n(12). Solve d = -10*a + 7*a for a. 0 Suppose 6*u = u + 10. Let a be (-238)/(-49) + 1/7. Let b be (-3)/((-30)/4)*a. Solve u = -3*j + b*j for j. -2 Let s be (0 + -8 - -7) + 3. Solve s*b - 15 = -19 for b. -2 Let b(a) = a**2 + 6*a + 10. Let j be b(-4). Suppose 0 = j*l + 3*y - 18, 0 = 3*l - 0*l + 3*y - 24. Solve l = -4*u + 26 for u. 5 Let k be ((-40)/(-25))/((-4)/(-10)). Solve 3*r + 19 = k for r. -5 Let h(p) = p + 15. Let o be h(-12). Let s(z) = -z**3 - 8*z**2 - 7*z + 2. Let d be s(-7). Solve 25 = -d*l - o*l for l. -5 Let y = 40 - 36. Solve -7*d = -6*d + y for d. -4 Let t = 58 - -4. Let u = t - 57. Let x be (3/(-3))/((-2)/20). Solve 0*w - x = u*w for w. -2 Let s(w) = -w**3 + 5*w - 3*w**2 + w - 5 + 6*w**2. Let t be s(4). Solve -l - 2*l + t = 0 for l. 1 Let k be 20/9 + 2/(-9). Suppose w + 0 = -2*f + 2, 0 = -5*f - 4*w + k. Solve -f*u + 1 = 3 for u. -1 Let y = 8 - 0. Let u = y - 15. Let g = u - -9. Solve d + 0*d = -g for d. -2 Let t = 19 - 14. Suppose -4*p - 2 = -t*n - 3, -2*n + 10 = p. Solve -3*j - n = 3 for j. -2 Suppose -4*x = 4*y + 4, 3*x = 5*y - 54 + 27. Suppose -3*r = -6, -4*j - 3*r + 26 = 8. Suppose y*t - j = -0. Solve n = t - 0 for n. 1
Let h(f) = 53*f + 1787. Calculate h(-32). 91 Let n(f) = 6*f**2 + 46*f - 126. Determine n(-10). 14 Let b(h) = h**3 + 9*h**2 - 39*h - 20. Give b(-12). 16 Let a(w) = w**3 - 22*w**2 - 29*w + 137. Give a(23). -1 Let c(j) = j**3 - 250*j**2 + 298*j - 12210. Give c(249). -9 Let n(s) = s**2 - 62*s - 4025. What is n(101)? -86 Let i(z) = 3*z**3 - 14*z**2 + 5*z - 10. Give i(4). -22 Let p(c) = c**2 - 187*c + 2109. Give p(12). 9 Let s(v) = -653*v**2 - 11*v - 10. Give s(-1). -652 Let u(l) = -90*l**2 + 547*l - 41. Give u(6). 1 Let u(a) = 3*a**3 + 2*a**2 + 2*a - 3. Give u(-4). -171 Let q(b) = -493*b - 133605. Calculate q(-271). -2 Let s(d) = 50*d - 3127. Give s(67). 223 Let k(h) = -223*h + 1109. Calculate k(5). -6 Let j(f) = 7*f - 324. Calculate j(-7). -373 Let o(y) = 13*y**2 + 882*y + 1761. Give o(-2). 49 Let m(x) = -x**3 + 24*x**2 - 2*x + 38. What is m(24)? -10 Let v(y) = -2*y**3 + 83*y**2 - 51*y + 416. What is v(41)? 6 Let a(o) = 4*o**2 + 9*o + 74. Give a(-3). 83 Let i(l) = 3*l + 129. Determine i(3). 138 Let h(w) = 3*w**2 + 265*w + 367. Determine h(-87). 19 Let r(m) = m**3 - 23*m**2 - 234*m + 5024. Give r(24). -16 Let j(f) = 100*f**2 + 6*f - 18. Give j(2). 394 Let a(q) = -q**3 - 65*q**2 - 11*q - 467. Give a(-65). 248 Let i(n) = 3315*n + 6636. Give i(-2). 6 Let c(q) = -230*q - 2535. Determine c(-11). -5 Let l(n) = -2*n**3 - 5*n**2 + 7. Give l(-5). 132 Let m(g) = -g**3 + 141*g**2 + 187*g - 6351. Determine m(142). 39 Let p(l) = -163*l - 20220. Give p(-124). -8 Let m(f) = -68*f + 230. Calculate m(6). -178 Let q(i) = i**3 + 4*i**2 - 94*i + 4. Calculate q(-12). -20 Let b(a) = 3*a**3 - 2*a**2 - 19*a + 7. Determine b(-2). 13 Let n(c) = 1086*c + 3302. What is n(-3)? 44 Let w(o) = -19*o - 172. Calculate w(-15). 113 Let k(b) = 8*b**2 + 32*b - 129. Give k(3). 39 Let i(y) = 4*y**2 + 29*y - 87. Calculate i(7). 312 Let j(n) = 8*n**2 - 31*n + 71. Determine j(3). 50 Let h(n) = -16*n**3 + 3*n**2 - 2*n + 1. What is h(2)? -119 Let o(m) = 47*m + 2531. Give o(-54). -7 Let j(d) = d**3 + 73*d**2 - 736*d + 116. What is j(-82)? -48 Let y(s) = 61*s**2 + 33*s - 68. Calculate y(2). 242 Let u(a) = 71*a - 1157. Determine u(18). 121 Let i(h) = -2*h**3 + 3*h + 100. Calculate i(0). 100 Let m(z) = z**2 - 28*z + 111. Give m(27). 84 Let i(o) = -6*o**2 - 17*o + 247. Give i(-8). -1 Let x(c) = -c**3 + 3*c**2 + 2*c + 21. Determine x(5). -19 Let y(z) = -2*z**2 + 38*z + 205. What is y(-5)? -35 Let q(t) = 18*t**3 - 3*t**2 - 34*t - 32. Calculate q(-1). -19 Let h(s) = -3*s**2 - 131*s - 100. Calculate h(-43). -14 Let g(z) = 2*z**2 - 122*z + 306. Determine g(59). 70 Let y(v) = 21*v**3 + 66*v**2 - 73*v - 18. Give y(-4). -14 Let x(t) = -t**2 + 39*t - 307. Give x(28). 1 Let d(s) = -s**3 + 21*s**2 + 29*s - 57. What is d(22)? 97 Let m(r) = -r**3 - 5*r**2 + 20*r + 45. Determine m(-6). -39 Let m(c) = 341*c**3 + 11*c + 13. Determine m(-1). -339 Let i(b) = -63*b - 177. Give i(-6). 201 Let h(c) = 261*c**3 + 2*c**2 - 31*c - 33. What is h(-1)? -261 Let g(m) = 3*m**2 + 330*m - 6. What is g(-110)? -6 Let s(b) = -102*b - 2705. Give s(-26). -53 Let t(i) = -i**3 - 11*i**2 + 89*i + 47. Give t(-16). -97 Let n(k) = -27*k + 780. Determine n(28). 24 Let i(b) = -282*b + 2793. What is i(10)? -27 Let g(v) = -v**3 + 65*v**2 - 1033*v - 111. Determine g(37). 0 Let i(w) = -w**3 + 14*w**2 - 18*w + 25. Calculate i(11). 190 Let g(o) = 17*o + 1058. Calculate g(-46). 276 Let s(z) = 158*z - 428. Determine s(3). 46 Let v(f) = -20*f + 389. Determine v(18). 29 Let n(t) = -t**2 - 29*t - 212. Calculate n(-12). -8 Let t(g) = 5*g**2 + 61*g - 2. Give t(-12). -14 Let g(b) = 31*b - 627. What is g(21)? 24 Let i(n) = n**2 + 226*n - 2601. Determine i(11). 6 Let y(s) = 2*s**3 + 31*s**2 + 3*s + 92. Calculate y(-15). 272 Let x(r) = 2092*r + 12560. Calculate x(-6). 8 Let o(r) = -196*r**3 - r**2 + 5*r - 4. Calculate o(1). -196 Let a(k) = 15*k + 140. Calculate a(-8). 20 Let s(k) = -13*k**2 + 12. What is s(-7)? -625 Let h(l) = 12*l**2 - l + 2. Give h(2). 48 Let m(h) = 3*h**2 - 9*h - 31. Calculate m(6). 23 Let o(b) = -b**3 - 8*b**2 + 45*b + 409. What is o(-10)? 159 Let u(a) = -a**3 + 19*a**2 - 9*a + 168. Determine u(19). -3 Let k(c) = -c**2 + 12*c + 63. Determine k(-4). -1 Let i(t) = -122*t + 4279. What is i(33)? 253 Let c(b) = -28*b**2 + 588*b + 17. Determine c(21). 17 Let n(l) = -39*l - 81. Give n(-6). 153 Let i(h) = -43*h**2 - 487*h - 13. What is i(-12)? -361 Let f(d) = d**3 + 57*d**2 + 116*d + 217. What is f(-55)? -113 Let u(y) = -16*y + 345. Determine u(27). -87 Let f(v) = 2*v**3 - 69*v**2 + 31*v - 30. What is f(34)? -132 Let p(k) = -4*k**3 + 160*k**2 - 161*k + 194. Calculate p(39). -1 Let y(f) = -6*f + 75. What is y(-10)? 135 Let c(d) = 11*d**2 + 83*d - 250. Give c(-10). 20 Let l(n) = n**2 + 165*n - 6993. What is l(35)? 7 Let j(k) = -2*k**3 + 25*k**2 - 32*k + 20. What is j(11)? 31 Let b(k) = -50*k + 116. Determine b(3). -34 Let d(y) = 17*y**2 - y - 5. Calculate d(-2). 65 Let s(n) = n**3 + 10*n**2 + 13*n + 7. Give s(-6). 73 Let h(n) = 28*n + 944. Give h(-13). 580 Let k(t) = -6*t**2 - t + 467. Calculate k(0). 467 Let a(u) = -u**2 + 10*u + 288. Calculate a(30). -312 Let h(k) = -k**3 - 79*k**2 - 636*k - 389. What is h(-70)? 31 Let x(a) = -365*a + 2198. Give x(6). 8 Let j(q) = -69*q + 761. Calculate j(4). 485 Let a(t) = t**3 - 7*t**2 + 59*t - 180. Determine a(4). 8 Let n(q) = -2*q**2 - 54*q - 338. Give n(-10). 2 Let v(f) = f**3 + 7*f**2 + 52*f + 273. Calculate v(-6). -3 Let w(m) = 204*m**3 + m**2 + 10*m + 7. What is w(-1)? -206 Let w(q) = 1529*q - 16810. Determine w(11). 9 Let h(n) = -7*n - 64. Calculate h(-5). -29 Let p(i) = i**3 - 44*i**2 + 70*i + 199. Calculate p(42). -389 Let v(w) = 6*w**2 + 47*w + 24. What is v(-7)? -11 Let t(g) = 3751*g + 3748. Calculate t(-1). -3 Let j(f) = -f**2 - 57*f + 855. Determine j(13). -55 Let x(y) = -y**2 + 2*y + 9. What is x(4)? 1 Let m(k) = -7*k**3 + 343*k**2 - k + 152. Calculate m(49). 103 Let i(g) = -8*g + 76. Give i(14). -36 Let m(s) = -27*s - 2378. Determine m(-89). 25 Let p(h) = h**2 - 321*h + 12. Calculate p(0). 12 Let r(m) = -8*m**2 - 41*m + 42. Calculate r(1). -7 Let m(c) = c**3 + 34*c**2 - 162*c - 4437. Give m(-35). 8 Let c(k) = -3*k**3 - 4*k**2 + 15*k - 36. What is c(3)? -108 Let v(f) = -10*f - 454. Determine v(-73). 276 Let i(p) = -8*p**3 + 359*p**2 + 69*p - 1073. Give i(45). 7 Let s(w) = w**3 + 5*w - 76. Determine s(0). -76 Let z(d) = d**2 + 35*d + 208. Give z(-8). -8 Let r(z) = 19*z**2 + 9*z + 2. Determine r(-3). 146 Let w(x) = 6018*x + 48149. Give w(-8). 5 Let l(c) = 18*c**2 - 21*c + 2. Determine l(1). -1 Let f(g) = 15*g - 234. Give f(14). -24 Let p(r) = r**3 + 38*r**2 + 102*r + 170. Calculate p(-35). 275 Let r(n) = n**3 - 14*n**2 - 2*n + 30. Determine r(14). 2 Let p(w) = 52*w**2 - 889*w + 75. What is p(17)? -10 Let q(s) = -2503*s + 4951. Calculate q(2). -55 Let y(q) = -4*q**2 - 167*q + 9979. What is y(-75)? 4 Let v(f) = 140*f - 309. Give v(2). -29 Let s(v) = -3398*v - 5. Determine s(0). -5 Let q(t) = 57*t**2 + 1027*t + 40. What is q(-18)? 22 Let y(j) = 2*j**3 + 136*j**2 + 99*j - 10886. Give y(-66). 4 Let s(q) = 102*q**2 - 4*q - 1. What is s(-1)? 105 Let y(i) = 53*i**3 + 7*i**2 + 12*i + 5. What is y(-1)? -53 Let j(q) = -q**3 - 2*q**2 + 21*q + 46. Calculate j(-2). 4 Let s(i) = -51*i**2 + 3*i - 34. Determine s(3). -484 Let x(f) = 5*f**2 + 3*f + 58. Give x(-5). 168 Let l(m) = -2*m**2 + 249*m + 4317. Give l(140). -23 Let d(c) = 3*c**2 + 72*c + 194. Give d(-20). -46 Let d(w) = 158*w - 1505. Give d(13). 549 Let y(d) = d**3 + 37*d**2 + 280*d - 88. What is y(-26)? 68 Let t(c) = -45*c + 431. Give t(11). -64 Let f(g) = -11*g**2 - 36*g + 106. What is f(2)? -10 Let q(d) = -18*d + 781. Give q(44). -11 Let q(b) = -5*b**2 - 30*b - 46. Calculate q(-2). -6 Let p(y) = y**3 + 3*y**2 - 9*y - 310. Calculate p(0). -310 Let c(k) = -1070*k - 4271. Give c(-4). 9 Let n(i) = -2*i**3 + 8*i**2 - 21*i + 37. Determine n(3). -8 Let p(b) = -3*b**3 + 9*b**2 - 7*b - 93. What is p(-4)? 271 Let w(m) = -m**2 - 4*m + 787. Give w(-30). 7 Let p(s) = -55*s - 36. Give p(-2). 74 Let f(m) = m**3 - 73*m**2 + 183*m + 1908. What is f(70)? 18 Let u(c) = c**3 - 38*c**2 - 45*c + 1658. Give u(38). -52 Let n(p) = -2*p**2 + 46*p - 235. Calculate n(8). 5 Let u(o) = o**3 + 6*o**2 - 24*o - 41. Determine u(-7). 78 Let h(m) = 10*m + 87. Give h(-13). -43 Let p(q) = -2*q**3 - 37*q**2 + 25*q + 15. Calculate p(-19). -99 Let f(i) = i**2 + 46*i - 409. Give f(-54). 23 Let w(y) = -y**3 - 13*y**2 - 158. Determine w(-16). 610 Let r(u) = 1133*u - 10185. Determine r(9). 12 Let n(z) = z**3 - 12*z**2 + 22*z + 18. Calculate n(8). -62 Let f(m) = 112*m**2 + 946*m + 394. Calculate f(-8). -6 Let x(o) = -71*o + 2126. Calculate x(30). -4
What is the remainder when 33230 is divided by 639? 2 Calculate the remainder when 3784 is divided by 15. 4 What is the remainder when 752486 is divided by 4? 2 Calculate the remainder when 1794 is divided by 1779. 15 What is the remainder when 16396 is divided by 8182? 32 Calculate the remainder when 58980 is divided by 1638. 12 Calculate the remainder when 78919 is divided by 9. 7 Calculate the remainder when 1647 is divided by 64. 47 Calculate the remainder when 2556 is divided by 117. 99 What is the remainder when 331937 is divided by 54? 53 Calculate the remainder when 31225 is divided by 244. 237 What is the remainder when 7039 is divided by 340? 239 What is the remainder when 738508 is divided by 103? 101 What is the remainder when 1919 is divided by 66? 5 What is the remainder when 2497 is divided by 433? 332 What is the remainder when 20356 is divided by 6775? 31 What is the remainder when 4293 is divided by 161? 107 Calculate the remainder when 5225 is divided by 16. 9 What is the remainder when 9747 is divided by 10? 7 What is the remainder when 15446 is divided by 5049? 299 Calculate the remainder when 116838 is divided by 67. 57 What is the remainder when 2011046 is divided by 793? 791 What is the remainder when 200278 is divided by 66740? 58 What is the remainder when 189442 is divided by 119? 113 What is the remainder when 47775 is divided by 23884? 7 Calculate the remainder when 7740 is divided by 3838. 64 Calculate the remainder when 4241 is divided by 127. 50 Calculate the remainder when 8531 is divided by 1375. 281 Calculate the remainder when 12164 is divided by 173. 54 What is the remainder when 16259 is divided by 3249? 14 Calculate the remainder when 38983 is divided by 108. 103 What is the remainder when 58319 is divided by 16? 15 What is the remainder when 24211 is divided by 8031? 118 What is the remainder when 756 is divided by 38? 34 What is the remainder when 132808 is divided by 6? 4 Calculate the remainder when 287398 is divided by 15. 13 What is the remainder when 24113 is divided by 3218? 1587 What is the remainder when 29511 is divided by 5901? 6 What is the remainder when 86288 is divided by 154? 48 Calculate the remainder when 2976 is divided by 1467. 42 What is the remainder when 2845 is divided by 6? 1 Calculate the remainder when 34410 is divided by 34394. 16 What is the remainder when 67504 is divided by 1250? 4 Calculate the remainder when 15990 is divided by 2653. 72 What is the remainder when 690714 is divided by 148? 146 What is the remainder when 2264 is divided by 334? 260 What is the remainder when 19973 is divided by 6654? 11 What is the remainder when 25436 is divided by 478? 102 Calculate the remainder when 3342 is divided by 629. 197 Calculate the remainder when 2971 is divided by 988. 7 What is the remainder when 14248 is divided by 3559? 12 Calculate the remainder when 22135 is divided by 853. 810 Calculate the remainder when 5366 is divided by 287. 200 Calculate the remainder when 13971 is divided by 6972. 27 Calculate the remainder when 24468 is divided by 2676. 384 What is the remainder when 9320 is divided by 1279? 367 What is the remainder when 64317 is divided by 213? 204 Calculate the remainder when 76814 is divided by 76799. 15 What is the remainder when 7041 is divided by 897? 762 What is the remainder when 8821 is divided by 233? 200 Calculate the remainder when 4361 is divided by 31. 21 Calculate the remainder when 30899 is divided by 309. 308 Calculate the remainder when 1259 is divided by 345. 224 What is the remainder when 15635 is divided by 5199? 38 Calculate the remainder when 228018 is divided by 263. 260 What is the remainder when 1179706 is divided by 111? 109 What is the remainder when 43248 is divided by 61? 60 Calculate the remainder when 37047 is divided by 12345. 12 What is the remainder when 418665 is divided by 242? 5 What is the remainder when 2122 is divided by 525? 22 What is the remainder when 3980 is divided by 326? 68 Calculate the remainder when 4640796 is divided by 20. 16 Calculate the remainder when 22686 is divided by 7512. 150 Calculate the remainder when 2761 is divided by 185. 171 Calculate the remainder when 208 is divided by 59. 31 What is the remainder when 7301 is divided by 1821? 17 Calculate the remainder when 389068 is divided by 129686. 10 What is the remainder when 12818 is divided by 1013? 662 What is the remainder when 1633 is divided by 341? 269 Calculate the remainder when 3146 is divided by 21. 17 What is the remainder when 2035976 is divided by 30? 26 Calculate the remainder when 1980597 is divided by 75. 72 Calculate the remainder when 108468 is divided by 1220. 1108 What is the remainder when 5232 is divided by 349? 346 Calculate the remainder when 765498 is divided by 64. 58 What is the remainder when 1041 is divided by 983? 58 Calculate the remainder when 3514 is divided by 259. 147 Calculate the remainder when 34722 is divided by 97. 93 What is the remainder when 2100 is divided by 975? 150 What is the remainder when 55949 is divided by 1301? 6 Calculate the remainder when 103166 is divided by 28. 14 What is the remainder when 2497 is divided by 449? 252 Calculate the remainder when 742479 is divided by 494. 491 Calculate the remainder when 9324 is divided by 598. 354 Calculate the remainder when 16178 is divided by 547. 315 What is the remainder when 266 is divided by 115? 36 What is the remainder when 126851 is divided by 999? 977 Calculate the remainder when 126656 is divided by 414. 386 What is the remainder when 553341 is divided by 262? 259 What is the remainder when 16804 is divided by 480? 4 Calculate the remainder when 4568 is divided by 85. 63 Calculate the remainder when 5606534 is divided by 806. 804 What is the remainder when 176569 is divided by 34? 7 Calculate the remainder when 247736 is divided by 99. 38 Calculate the remainder when 19269 is divided by 2314. 757 Calculate the remainder when 37229 is divided by 199. 16 Calculate the remainder when 149562 is divided by 7871. 13 What is the remainder when 1712 is divided by 350? 312 Calculate the remainder when 2847 is divided by 487. 412 Calculate the remainder when 2592791 is divided by 9. 8 Calculate the remainder when 12712 is divided by 747. 13 Calculate the remainder when 5690 is divided by 1657. 719 What is the remainder when 16064 is divided by 206? 202 Calculate the remainder when 44155 is divided by 23. 18 What is the remainder when 359145 is divided by 71827? 10 Calculate the remainder when 281050 is divided by 189. 7 Calculate the remainder when 3156 is divided by 7. 6 What is the remainder when 89659 is divided by 143? 141 Calculate the remainder when 40936 is divided by 333. 310 Calculate the remainder when 426125 is divided by 106526. 21 What is the remainder when 60593 is divided by 25? 18 Calculate the remainder when 12509 is divided by 123. 86 What is the remainder when 7353 is divided by 1046? 31 What is the remainder when 19514 is divided by 383? 364 What is the remainder when 11582007 is divided by 198? 195 Calculate the remainder when 11536 is divided by 11383. 153 Calculate the remainder when 25430 is divided by 5071. 75 What is the remainder when 2288874 is divided by 1122? 1116 What is the remainder when 27068 is divided by 188? 184 Calculate the remainder when 10037 is divided by 252. 209 Calculate the remainder when 10191 is divided by 10163. 28 Calculate the remainder when 34787 is divided by 1345. 1162 What is the remainder when 780785 is divided by 53? 42 What is the remainder when 2073 is divided by 67? 63 Calculate the remainder when 28700 is divided by 2390. 20 What is the remainder when 212 is divided by 63? 23 Calculate the remainder when 2472742 is divided by 18. 10 Calculate the remainder when 3629 is divided by 276. 41 Calculate the remainder when 61417 is divided by 239. 233 Calculate the remainder when 50955 is divided by 5658. 33 What is the remainder when 2761 is divided by 516? 181 What is the remainder when 801 is divided by 296? 209 What is the remainder when 10152 is divided by 845? 12 What is the remainder when 505490 is divided by 1239? 1217 What is the remainder when 2758 is divided by 1202? 354 What is the remainder when 78990 is divided by 427? 422 Calculate the remainder when 83 is divided by 13. 5 What is the remainder when 57583 is divided by 70? 43 What is the remainder when 9738 is divided by 71? 11 Calculate the remainder when 21911 is divided by 414. 383 What is the remainder when 8129 is divided by 61? 16
Find the third derivative of -175058*u**3 - 2*u**2 + 20*u + 1487. -1050348 What is the derivative of -626842*r*z**2 + 538*r - 626 wrt z? -1253684*r*z What is the first derivative of -1805*a**3*t**3 - 130*a**3 + 821360*t**3 wrt a? -5415*a**2*t**3 - 390*a**2 What is the second derivative of -593*b**3*f**2 - 3*b**2*f**2*j - 3*b**2*j - b*f**2*j + 2*b*f**2 + 89*f**2 + f*j + 5 wrt b? -3558*b*f**2 - 6*f**2*j - 6*j Find the first derivative of -155276*d*u**2*x + 20*d*u**2 - 3*d*u - d*x - 2*d - 2*u**2 - 2466*u wrt x. -155276*d*u**2 - d Differentiate -7*d**3*n**3 + 27*d**3 + d**2 - 1899*d*n**4 + 8*d - 24 wrt n. -21*d**3*n**2 - 7596*d*n**3 Find the second derivative of -416467*d**2 + 10*d - 18557. -832934 Find the second derivative of -3823*g**2*y - 15*g**2 + 13954*g*y - 23*y wrt g. -7646*y - 30 What is the second derivative of -29238*b**2 - 203869*b? -58476 Find the first derivative of -408867*c + 28214. -408867 Find the third derivative of -5252392*s**5 + 15041*s**2 + 10*s + 6 wrt s. -315143520*s**2 What is the second derivative of -8*s**2*u**2 - 6*s**2*u - 575*s*u**2 - 528*u wrt u? -16*s**2 - 1150*s What is the second derivative of 7*l**4 + 2*l**3 + 22*l**2 - 17873*l + 2? 84*l**2 + 12*l + 44 What is the first derivative of -2*s**3 + 17771*s**2 - 4*s + 5769745 wrt s? -6*s**2 + 35542*s - 4 What is the third derivative of 14*k**6 + 5591*k**5 - 4*k**4 - 189911*k**2 + 2? 1680*k**3 + 335460*k**2 - 96*k Find the third derivative of i**2*o**3 + 7*i**2*o**2 + 12216*i*o**3 + 2*i*o**2 - 2*o**3 + 280*o wrt o. 6*i**2 + 73296*i - 12 What is the second derivative of -250*d**2*g**2 + 63703*d**2 + d*g**2 - 2*d*g + 7*g**2 wrt g? -500*d**2 + 2*d + 14 What is the second derivative of -2*a*y**3 + 460*a*y**2 - 3*a*y - 160*a - y**3 + 7*y**2 - 15*y - 2 wrt y? -12*a*y + 920*a - 6*y + 14 Differentiate -f**2*w*y - 11*f**2*w + 92*f**2*y + 280*f**2 + f*w*y + f*w - 10*f*y - 3 with respect to y. -f**2*w + 92*f**2 + f*w - 10*f Find the first derivative of -12*v**3 + 4178*v**2 - 56089. -36*v**2 + 8356*v What is the second derivative of -29*k**2*r**4 + 117*k**2*r**2 + 2094*k**2*r - k*r + r + 1 wrt r? -348*k**2*r**2 + 234*k**2 Find the second derivative of -2*g**4 + 4791*g**3 - 3*g**2 - 101233*g wrt g. -24*g**2 + 28746*g - 6 What is the second derivative of s**3 - 335214*s**2 + 895767*s? 6*s - 670428 Differentiate 7*j**3*n + 4*j*n + 28*j - 875*n - 127 with respect to j. 21*j**2*n + 4*n + 28 Find the third derivative of -c**2*k**3 - 2907*c**2*k**2 + c*k**3 + 3*c*k**2 + 314*k**3 wrt k. -6*c**2 + 6*c + 1884 What is the third derivative of 7*u**3*z**3 - 6*u**3*z**2 + 551*u**2*z**3 + 14*u**2*z + u*z**3 + 7*u*z**2 - 4*u*z + z**3 wrt z? 42*u**3 + 3306*u**2 + 6*u + 6 Differentiate -1318692*k + 944081. -1318692 What is the third derivative of -176*q**4 - 5*q**3*u**2 - 6*q**3*u + 47*q**3 + 2*q**2*u**2 - q*u**2 - 58*u**2 + 6926*u wrt q? -4224*q - 30*u**2 - 36*u + 282 Differentiate -531*n**2*o + n**2 + 13*n*o + 2*o - 15004 wrt n. -1062*n*o + 2*n + 13*o Find the first derivative of -36575*g**3*m - 2*g**3 - 196122*g**2 - 2*g + 5*m + 2 wrt m. -36575*g**3 + 5 What is the third derivative of 254048*v**4 + 126993*v**2? 6097152*v What is the derivative of -84*s**4 - 384*s**2 + 2566407 wrt s? -336*s**3 - 768*s Find the first derivative of 33*b**2 + 1808*b + 741015 wrt b. 66*b + 1808 What is the second derivative of -15020*u**5 + 19*u**2 + 30*u - 16545? -300400*u**3 + 38 Find the second derivative of -193112*g**3 - 3*g**2 - 756813*g wrt g. -1158672*g - 6 Find the third derivative of -37870*c**4 - 2486*c**2 - 2*c + 7 wrt c. -908880*c Find the third derivative of 150248*l**3*o - l**2*o - 3*l**2 + 17042*l wrt l. 901488*o What is the derivative of 44*o**2*p - 6868*o**2*u + 102*o*p**3 + 3*o*p**2*u + u wrt p? 44*o**2 + 306*o*p**2 + 6*o*p*u What is the first derivative of -692544*a*i**2 - 5*a*n + 94*i**2 - 1827*i*n wrt a? -692544*i**2 - 5*n What is the derivative of -62963*n**2*o - 25982*n**2 wrt o? -62963*n**2 What is the second derivative of -245114*v**3 + 2326194*v wrt v? -1470684*v Differentiate 773576*c**4 + 1039712 wrt c. 3094304*c**3 Find the third derivative of 179680*l**5 + 3*l**2 - 24779. 10780800*l**2 Differentiate 3194*g**3 + 27*g - 59657. 9582*g**2 + 27 What is the derivative of -211333*f**2 + 3608758? -422666*f What is the third derivative of 10801*g**6 - g**3 - 50280*g**2? 1296120*g**3 - 6 Find the third derivative of 1136958*h**5 - 882759*h**2 wrt h. 68217480*h**2 Find the second derivative of -1826947*j**2 - 75*j + 11332. -3653894 Find the first derivative of 281312*d + 2432005 wrt d. 281312 Find the second derivative of 1497818*o**3*q**2 + 180*o*q**2 + 6*o + 2*q**2 + 9*q - 1 wrt o. 8986908*o*q**2 What is the third derivative of 1948810*l**3 + 334*l**2 - 516 wrt l? 11692860 Differentiate -h**2*t + 6*h**2*v + 24*h**2 + 18*h*t*v - 2429*t*v + 2*v wrt t. -h**2 + 18*h*v - 2429*v Find the first derivative of -102*m**3*u + m**3 + 24*m**2 - 396*m*u**2 - 16*m + 3 wrt u. -102*m**3 - 792*m*u What is the second derivative of 2767617*x**5 - 55579*x + 3 wrt x? 55352340*x**3 Find the third derivative of 2858571*r**3 + 2918777*r**2. 17151426 What is the first derivative of 35255*k**4*s + 29976*s + 2 wrt k? 141020*k**3*s Find the third derivative of 130923*s**4 - 7*s**2 + 4*s + 328. 3142152*s What is the second derivative of -3841294*v**2 - 311*v - 3706? -7682588 Find the second derivative of 1138*h*r**2 - h*r + 73*h + 34*r**3 + 2*r**2 - r - 53 wrt r. 2276*h + 204*r + 4 What is the second derivative of -1528009*i**3 + 3274773*i wrt i? -9168054*i What is the first derivative of -249996*l**3 + 147294? -749988*l**2 What is the derivative of -37*m**3*u**3 + 11312*m**3*v - 1005*m**3 + 5*m**2*u**3*v wrt v? 11312*m**3 + 5*m**2*u**3 Find the second derivative of -5803396*u**2 + 10*u - 21981 wrt u. -11606792 Find the third derivative of -41*z**6 - 535*z**4 + z**3 - z**2 + 5310*z wrt z. -4920*z**3 - 12840*z + 6 Find the third derivative of -643*z**4 - 134*z**3 + 2828*z**2 + 15. -15432*z - 804 Find the third derivative of -35450*f**3*l**2 - 42187*f**2*l**2 + 2*f*l**2 wrt f. -212700*l**2 What is the second derivative of -a*i**3*p + a*i**3 + 363*a*i*p**5 + 18*a*p**2 + 7*a*p - 10*i**3*p**2 - 2*i**2*p - 29*i**2 + 1 wrt p? 7260*a*i*p**3 + 36*a - 20*i**3 What is the derivative of 10*i**3*s*w - 284*i**3*w + 157*i*s*w - 12*w wrt s? 10*i**3*w + 157*i*w Find the second derivative of -m**2*y**2 - 14771*m**2 - 22*m*y**2 + 486*m wrt m. -2*y**2 - 29542 What is the third derivative of 208503*c**4 + 338*c**2 - c + 8? 5004072*c Find the third derivative of 24*l**6 + l**5 + 3*l**2 - 3017 wrt l. 2880*l**3 + 60*l**2 What is the first derivative of -308306*b + 1075431 wrt b? -308306 What is the third derivative of -9456*p**3 - p**2 + 132736? -56736 Find the third derivative of 632926*f**5 - 86131*f**2. 37975560*f**2 Find the second derivative of 1486638*d**3 + 571344*d wrt d. 8919828*d What is the derivative of l**3*r - 49176*l**3 - 87*l*r + 14*r wrt r? l**3 - 87*l + 14 Find the third derivative of -1121*l**6 - 9*l**4 - 8*l**2 - 436*l. -134520*l**3 - 216*l What is the third derivative of -110*k*p**3*u**2 + 33*k*p**3 + 2*k*p*u**2 - 2*p**3*u**2 + 104*p**2*u - 14*u**2 wrt p? -660*k*u**2 + 198*k - 12*u**2 Differentiate 6*u**3*w - 6855*u**3 + u**2*w - 112*w**2 wrt w. 6*u**3 + u**2 - 224*w What is the third derivative of 13*a**4*n**2 - 6305*a**4*n + 57933*a**2 + a*n**2 wrt a? 312*a*n**2 - 151320*a*n Find the second derivative of 1549*d**2*w**2 + 1078*d**2 - 72*d*w**3 - d + 3*w + 2 wrt w. 3098*d**2 - 432*d*w What is the second derivative of 6184*l**3*o**2 + 2*l**3 + 3*l*o + 65*l - 12*o**2 - 5 wrt l? 37104*l*o**2 + 12*l What is the second derivative of -43*r**4 - 311*r**3 + 2*r + 1911 wrt r? -516*r**2 - 1866*r What is the first derivative of g**4 - 17*g**3 + 104*g**2 + 21768 wrt g? 4*g**3 - 51*g**2 + 208*g Find the third derivative of 10357*b**3*f*k + b**3*k - 59*b**2*f*k + 8*b**2 + 2*f*k wrt b. 62142*f*k + 6*k Find the first derivative of -17990*w**2 - 119631. -35980*w Find the first derivative of -d*m**3 + 23304*d - 5*m**3 - 10409*m wrt m. -3*d*m**2 - 15*m**2 - 10409 Find the third derivative of 38068*y**4 - 13*y**3 - 2281440*y**2. 913632*y - 78 Find the third derivative of -5497*v**5 - 2*v**4 - 7*v**3 + 719*v**2 + 60*v - 2. -329820*v**2 - 48*v - 42 What is the third derivative of 39271*y**5 - 16654*y**2 + 1 wrt y? 2356260*y**2 What is the derivative of 322379*q + 788535? 322379 What is the third derivative of 5*b**3*j + 185*b**3*l - 108*b**3 - 27478*b**2*j + 60*l wrt b? 30*j + 1110*l - 648
Divide -2417 by 2510. -2417/2510 What is 44296880 divided by 12877? 3440 Divide 165714 by -405. -55238/135 Divide -50001419 by -124073. 403 What is 45573 divided by -418? -4143/38 What is 8367524 divided by -440396? -19 Calculate -755804 divided by -1. 755804 -6119175 divided by 1 -6119175 8105361 divided by -3 -2701787 Divide 250558234 by 2. 125279117 Calculate -9502 divided by -540. 4751/270 104 divided by 47487 104/47487 375 divided by -9954 -125/3318 What is 1952393 divided by -1? -1952393 Calculate -347442957 divided by -17. 20437821 What is 335281 divided by -46? -335281/46 -31096230 divided by -2826930 11 Calculate 2 divided by 3763367. 2/3763367 Divide -2 by -590379. 2/590379 Divide -148477890 by -66. 2249665 What is 38423941 divided by -486379? -79 What is 137601800 divided by -3931480? -35 Divide -269505 by -788. 269505/788 What is 2426184 divided by -8? -303273 What is 34444156 divided by -107? -321908 What is 16012582 divided by -29? -552158 Divide -5350242 by -6. 891707 -2751444 divided by 828 -3323 Calculate 66357400 divided by 25820. 2570 Calculate 91058656 divided by 183586. 496 Divide -26398410 by 182058. -145 What is -158915220 divided by 81245? -1956 5019264 divided by -34856 -144 Divide 3742780932 by 6. 623796822 254141500 divided by -2465 -103100 -77 divided by 250376 -11/35768 Calculate -710 divided by 55510. -71/5551 What is 3375770 divided by 1687885? 2 30042690 divided by -2 -15021345 Divide 158 by -33155. -158/33155 Calculate -390758 divided by -1. 390758 -54964069 divided by -3 54964069/3 What is 247250 divided by -233? -247250/233 -163197975 divided by 3 -54399325 What is -69160471 divided by 1817? -38063 Divide 4302 by -113233. -4302/113233 15006544 divided by 3751636 4 2902328535 divided by 5 580465707 What is 35 divided by 541776? 35/541776 -6 divided by -98442772 3/49221386 Divide 13026605 by 53. 245785 -39935 divided by 1520 -7987/304 What is -107759407 divided by 3? -107759407/3 -228 divided by 389515 -228/389515 -57487 divided by -4292 57487/4292 10672298 divided by 1 10672298 Divide -92166 by 92166. -1 Divide 1369448 by -50. -684724/25 80537742 divided by -4 -40268871/2 Divide -39585592 by 4948199. -8 What is 12 divided by -2219330? -6/1109665 Divide -16152780 by 60. -269213 What is 28972 divided by -2871? -28972/2871 4451744 divided by -139117 -32 Divide -3470352 by -24. 144598 4114554 divided by 95 4114554/95 -89945945 divided by -5 17989189 What is -27105000 divided by -156? 173750 Divide -1268033207 by -29. 43725283 Calculate 391 divided by -56021. -391/56021 What is 2373 divided by -211982? -2373/211982 Calculate -40566 divided by -625. 40566/625 What is -34768256 divided by -29168? 1192 What is 2940512 divided by 14? 1470256/7 What is 585380278 divided by 2? 292690139 -41639310 divided by 6 -6939885 Divide 243821292 by 11082786. 22 Calculate -47840904 divided by -29826. 1604 1696416 divided by -17671 -96 -301 divided by -3400 301/3400 Divide -11396562 by -670386. 17 Calculate -7464663 divided by 276469. -27 178784699 divided by -323 -553513 Divide -36161350 by 6. -18080675/3 What is 1012 divided by 187? 92/17 82539829 divided by 15689 5261 What is 14205871 divided by 14205871? 1 Calculate -13996695 divided by 3. -4665565 4 divided by -20964573 -4/20964573 What is 293314234 divided by 146657117? 2 What is 3913 divided by -5028? -3913/5028 Calculate 11958933 divided by -609. -19637 Calculate 7710340 divided by -4444. -1735 Divide -19 by -167196. 19/167196 Divide -3 by -2090702. 3/2090702 -14216006 divided by -3647 3898 Calculate -1 divided by 70291105. -1/70291105 Divide 4 by 6528080. 1/1632020 4 divided by -159710067 -4/159710067 -839014779 divided by 3 -279671593 Calculate 4 divided by 3605960. 1/901490 Calculate -12986260 divided by 436. -29785 -13945500 divided by 36 -387375 Divide -30 by 1030. -3/103 Calculate -48342235 divided by -5. 9668447 Divide 114355175 by 6. 114355175/6 -10 divided by -2932895 2/586579 Calculate -3552310 divided by 6518. -545 Divide -46 by 16588200. -23/8294100 -20851285 divided by -1 20851285 Divide 78086974 by 5577641. 14 -808681856 divided by 2 -404340928 Calculate -2932 divided by -5033. 2932/5033 -25074270 divided by 3 -8358090 Calculate -913445400 divided by 5. -182689080 23592760 divided by -4198 -5620 -102266372 divided by 30043 -3404 Calculate 16328660 divided by 1. 16328660 What is 9 divided by -3034427? -9/3034427 What is 55 divided by 171547? 55/171547 What is 150331396 divided by 1252? 120073 What is -19768418 divided by -17? 19768418/17 What is -28 divided by -378963? 28/378963 Calculate -893718550 divided by -35748742. 25 Calculate 3 divided by -18650. -3/18650 What is -30376 divided by 1237? -30376/1237 What is -121651668 divided by 4? -30412917 What is -7645653 divided by 2548551? -3 Calculate 411 divided by 237152. 411/237152 What is 459885 divided by -6? -153295/2 Calculate -363021752 divided by -181510876. 2 Divide -215894991 by 71964997. -3 Divide 11311232 by 4651. 2432 What is -9648992 divided by 2412248? -4 What is 8009968 divided by 6? 4004984/3 What is 1124 divided by 23813? 1124/23813 Divide -3775785 by 289. -13065 Calculate -13 divided by -435220. 13/435220 Calculate 70842 divided by 115. 70842/115 Calculate -25652187 divided by -99. 259113 Calculate -22346880 divided by -2472. 9040 Divide 17352512 by -1394. -12448 Calculate -10122840 divided by -10. 1012284 -97431890 divided by 9743189 -10 Calculate -7615770 divided by 16378. -465 0 divided by 24853783 0 Calculate 79337 divided by 1688. 79337/1688 What is -1 divided by -15858410? 1/15858410 -417962856 divided by -8 52245357 Calculate 28980 divided by 54. 1610/3 What is 87540208 divided by 2737? 31984 Calculate 262284298 divided by -1. -262284298 What is -160 divided by -495379? 160/495379 Calculate -10736634 divided by -13. 10736634/13 129693395 divided by -61205 -2119 1413049 divided by 81 1413049/81 Divide 1713096 by 142758. 12 What is 6770 divided by -15049? -6770/15049 Divide 367143699 by 3. 122381233 Calculate -71176 divided by -36. 17794/9 Calculate -928068 divided by -464034. 2 What is -19960941 divided by 23023? -867 Divide -136272182 by 1154849. -118 Divide 1379939909 by 4. 1379939909/4 Calculate 378 divided by -3697. -378/3697 1176038325 divided by 11 106912575 Calculate 79679748 divided by -26559916. -3 What is 1 divided by 55401028? 1/55401028 What is -167 divided by 114583? -167/114583 Calculate 5662688 divided by -353918. -16 Calculate -416281 divided by 5463. -416281/5463 Calculate 9434570 divided by 29. 325330 Calculate -279009736 divided by 6. -139504868/3 Calculate 0 divided by 24055496. 0 Calculate -91240968 divided by -24. 3801707 What is 325 divided by 17492? 325/17492 -8436604 divided by 11 -766964 What is -78639042 divided by -6? 13106507 What is -1774485 divided by 107? -1774485/107 What is -699 divided by 7560? -233/2520 64058868 divided by -8523 -7516 4185261 divided by 3 1395087 Divide 176479645 by 6085505. 29 Divide -3995210 by -5963. 670 What is -3 divided by -1730176? 3/1730176 Calculate 171968 divided by 64. 2687 What is 6550802 divided by 9? 6550802/9 Divide -88682016 by -4. 22170504 Calculate 33979318 divided by 507154. 67 What is 386405610 divided by 12880187? 30 -5 divided by -248859035 1/49771807 Calculate -20369487 divided by 43. -473709 Calculate 387 divided by -14130. -43/1570 Divide 53607 by 1465. 53607/1465 Divide -53749884 by -3. 17916628 What is 8 divided by -1826433? -8/1826433 Calculate -7874874 divided by 189. -41666 Calculate -18 divided by -171356. 9/85678 Divide 163250 by 105. 32650/21 Divide -1159818 by -1. 1159818 Calculate 31242704 divided by 55592. 562 19524366 divided by 3277 5958 What is 56989113 divided by 18996371? 3 Divide -15869722 by -4. 7934861/2 What is -418 divided by 2027190? -19/92145 -2322213 divided by -2322213 1 Divide -278646 by -2396. 139323/1198 What is -35503327 divided by -2088431? 17 -1311502302 divided by -3 437167434 Calculate 16203343 divided by -5. -16203343/5 Calculate 114946173 divided by 1. 114946173 1412 divided by 9956 353/2489 Divide -8278566 by 435714. -19 Divide -59266 by -5243. 59266/5243 What is -614785 divided by -614785? 1 2085 divided by 223565 417/44713 408736896 divided by -102184224 -4 Divide 20282560 by 320. 63383 Calculate -2023 divided by 15395. -2023/15395 What is -866995 divided by -15? 173399/3 Divide 393363000 by 3060. 128550 -11896321 divided by 11896321 -1 -3 divided by -948440 3/948440 Calculate -4379852 divided by 2. -2189926 Divide -81445922 by 81445922. -1 Calculate 124830144 divided by 288. 433438 Divide 45910720 by 216560. 212 Divide -210368926 by 2. -105184463 Divide 5 by 15351030. 1/3070206 What is 400 divided by -15580? -20/779 Divide -1357264 by -1357264. 1
Expand (14 + 20 - 18)*(-l + l + 2*l**2) - 5*l + 5*l + 2*l**2. 34*l**2 Expand (-2*h**5 - h**5 + 2*h**5)*(-120 + 316 - 111) + 0*h**2 - h**5 + 0*h**2. -86*h**5 Expand ((7 + 0 + 1)*(-4*u + u + 4*u) + (1 - 4 + 5)*(-2 + 2 + 2*u))*(-2*u**3 + 0*u + 0*u). -24*u**4 Expand (5 - 2 - 1)*(-4*c**5 - 3*c**5 + 6*c**5) - 2*c**4 + 2*c**4 + 7*c**5 + (-5*c + 5*c + 3*c)*(-3*c**4 - 3*c**4 + 5*c**4). 2*c**5 Expand z**3 - 5*z**3 + 5*z**3 - z - 2*z**3 + z + (z + 0 + 0)*(-5*z**2 + z**2 + 3*z**2) - z**3 + z**3 - z**3. -3*z**3 Expand -44*u + 8*u - 20*u + (2 + 1 - 2)*(-u - 4*u + u). -60*u Expand (-1 + 1 - i)*(176*i**2 - 125*i**2 - 159*i**2). 108*i**3 Expand (-2*n + 4*n - n)*(-32 - 45 - 49 - 2*n)*(1 + 0 - 4). 6*n**2 + 378*n Expand (4 + 2 - 3)*(2*s - 2*s - 5*s) - 3*s - 1 + 1 + (-s + s + 3*s)*(-2 + 0 - 1). -27*s Expand -3 + 4*x**4 + 3 + (30 - 30 - 18*x)*(-2*x**3 - x**3 + x**3). 40*x**4 Expand (-5*x + 2*x + 0*x)*((-3*x**3 + 0*x**3 + 4*x**3)*(-2 + 4 + 0) - 4*x**3 - x**3 + 7*x**3). -12*x**4 Expand -86*f**5 - 157*f**2 + 157*f**2 + (0*f**2 + f**2 + f**2)*(f**3 - f**3 + 2*f**3) - 2*f**5 - 2 + 2. -84*f**5 Expand (-c + 3*c + c**3 - c)*(2 + 7 - 16) + (c**2 - c**2 - c**2)*(5*c - 4*c - 2*c) + c**3 + 2*c**3 - c**3 + 0*c**3 + 0*c**3 - c**3 - 36. -5*c**3 - 7*c - 36 Expand (-14*d - d**2 + 14*d)*(-5 + 5 - 5) + (-2*d + d - d)*(-1 - 4 + 4)*(7*d + d + 0*d). 21*d**2 Expand (-10*i + 10*i + 41*i**2)*(-29*i - 15*i**2 + 29*i). -615*i**4 Expand (b**2 + b**2 + 0*b**2)*(5*b - 4*b - 2*b) + b**3 + 0*b + 0*b + 39*b - 39*b + 2*b**3. b**3 Expand (-2*b + 0 + 0)*(-12 - 7 + 3) + 5*b + 3*b - 4*b + 3*b + b - 2*b + (b + 4*b - 4*b)*(1 + 3 - 3). 39*b Expand 0*a**5 + 0*a**5 + a**5 + (913 - 187*a**4 - 913)*(2*a - a - 2*a). 188*a**5 Expand ((0 + 0 + l)*(-3 + 3 - 2*l**2) + (8*l - 12*l**2 - 8*l)*(l + 0 + 0))*(6*l**2 + 19*l**2 + 0*l**2)*(-1 + 2 + 1). -700*l**5 Expand (-681*s - 743*s + 1540*s)*(-3 + 7 - 3). 116*s Expand (-y - 2*y + y + (y - 3*y + 0*y)*(-5 - 2 + 5) + 39*y + 39*y - 72*y)*(17*y**2 + 11*y**2 - 12*y**2). 128*y**3 Expand (3*a**4 - 2*a**4 - 2*a**4 + (10*a**2 + 20*a**2 - 8*a**2)*(a - a - 2*a**2))*(0*a - 5*a + 0*a). 225*a**5 Expand (-6*r**2 + 3*r**2 - 1 + 0)*(18*r - 11*r - 11*r + 21). 12*r**3 - 63*r**2 + 4*r - 21 Expand (-3*k + 5*k - k)*(-1150 - 1763 + 35 + 66 - 325). -3137*k Expand -20*v**2 + 7*v**2 - 26*v**2 - 2 + (1 + 2*v - 1)*(1 - 1 - v). -41*v**2 - 2 Expand 8 + c - 1 + 0 + (0*c - c + 3*c)*(3 + 2 + 5). 21*c + 7 Expand (3*f**5 + 0 + 0)*(2 - 4 + 3) + 57*f**5 + 65*f**5 - 132*f**5. -7*f**5 Expand (14*x - x + 6*x)*(-19*x - 5*x - 5*x). -551*x**2 Expand (-2 + 2 + 2*r)*(4*r + r - 2*r)*(-2 + 0 + 3) + 16*r - 16*r + 1 + 4*r**2. 10*r**2 + 1 Expand (-1 + 2 + 0)*(0*z + 4*z - z + (2*z - 2*z - 2*z)*(1 - 2 + 3) + (2 - 2 + 2*z)*(4 - 4 - 1) - 1 + z + 1)*(3 - 4*z**3 - 3). 8*z**4 Expand (-2*k + 3*k - 3*k)*(4*k**4 - k**4 - 4*k**4) + 3*k**3 - 3*k**3 - k**5 + (36*k - 36*k - 68*k**3)*(-2*k**2 + 0*k**2 + 4*k**2). -135*k**5 Expand (-15*q + 11*q + 11*q)*(q + 3 - 3)*(247 - 247 - 17*q). -119*q**3 Expand -2*u**5 + 5*u**5 - 5*u**5 + (-3 + 3 + 2*u**3)*(0 + 0 + 2*u**2) - 193367*u**4 + 193367*u**4 + 302*u**5. 304*u**5 Expand (-2 + 3 + 0)*(279*a**2 - 68*a**5 - 279*a**2). -68*a**5 Expand (-5*k**2 + 2*k**2 - k + 4*k**2)*(-3*k + k + k)*(5 - 3 + 0)*(-6 - 5 + 6). 10*k**3 - 10*k**2 Expand (-4*o - o + 2*o)*(2*o - 2*o + 2*o**2)*(5*o**2 + o**2 - o**2). -30*o**5 Expand (2*j - 2*j + j**2)*(2*j - j - 2*j)*(8 + 10 - 4)*(2 - 3 - 1). 28*j**3 Expand (-5 - 8 - 3)*(20*v - 7*v - 8*v). -80*v Expand (89 - 20 + 13)*(-2*n**4 + 0*n**4 - 3*n**4). -410*n**4 Expand 14*t - 10*t + 6*t + 2*t + 0*t - t - 4*t + 0*t + 2*t + (-2 + 2 + 1)*(t + t + 0*t) + 0*t - 2*t + 4*t. 13*t Expand (0 + 4*r + 0)*(-3*r + 3*r - r)*(0 + 2 - 4)*(17*r - 22*r + 6*r). 8*r**3 Expand (z + 3*z - z)*(2 - 2 - 1) + 56*z + 52*z - 8 - 110*z. -5*z - 8 Expand c**3 + 0*c**3 - 2*c**3 + (44*c**2 + 93*c**2 - 14*c**2)*(-c + 3*c - c). 122*c**3 Expand 2444*c**2 - 52*c**3 - c**3 - 2447*c**2 + (2 + 2 - 2)*(-3*c**3 - c**3 - c**3) - 3*c**3 + 3*c**3 - 2*c**3. -65*c**3 - 3*c**2 Expand (9 + 5 - 1)*(-1 + 1 + c)*(6 + 4*c - 6 + (2*c - 5*c + c)*(3 - 3 - 2) + 1 - 1 - 2*c)*(-5*c - c + 2*c). -312*c**3 Expand (-6*t + 2*t + 3*t + 2)*(-2 + 2 - 2). 2*t - 4 Expand (0*d - 2*d + 0*d + (5*d - d - 5*d)*(-1 + 5 - 2) - d + 0*d + 2*d)*(11 - 5 - 5 + (-2 - 2 + 2)*(-2 - 2 + 2) - 1 - 13 + 46). -111*d Expand (-3 + 10 + 13)*(0 + 0 - 2)*(-g**4 - g + 1 - 1). 40*g**4 + 40*g Expand -2 - w**2 - 3 + 53*w**3 - 36*w**3 + (-3*w**2 + 4*w**2 - 3*w**2)*(5*w - 4*w - 3*w) + 2*w**3 + 0*w + 0*w. 23*w**3 - w**2 - 5 Expand (-3 + 3 - 2)*(-1 - d + 1) - 630*d + 317*d + 99 + 317*d + 3*d - d - d. 7*d + 99 Expand (-v + 4*v - 2*v)*(1 - 3 + 3)*(-31 - 24 - 9). -64*v Expand (0 - p + 0)*(68 + 70 + 25) + (p + 2 - 2)*(-1 - 1 + 4). -161*p Expand (-3*t**2 + 3*t**2 - 2*t**2)*(335*t + 68*t**3 - 335*t) + t**5 - 3*t**5 - 3*t**5. -141*t**5 Expand -17*k + 39*k - 15*k + 2 + 3*k - 2 + (2 - 3 + 0)*(2*k - 3*k + 0*k) + (4 - 2 - 1)*(59 - 59 + 10*k). 21*k Expand (-3 + 0 + 1 + (3 + 3 - 4)*(2 + 2 - 1) - 3 + 6 - 2)*(-1 + 1 - 2)*(-4*h + 3*h - h). 20*h Expand (-23*d - 116 + 58 + 57)*(0*d**4 - d**4 + 0*d**4). 23*d**5 + d**4 Expand (3*j + j - 5*j)*(-20 + j + 20 - 10*j - 2*j - 5*j + (-2*j + 3*j - 2*j)*(-1 + 0 + 2)). 17*j**2 Expand (2 - 2 + 3*g)*(-4*g + 3*g + 3*g) - 151*g**2 - 68*g + 68*g. -145*g**2 Expand (2 - 3 + 0)*(3 - 3 - 2)*(t + 0*t + t)*(11*t**4 + 6*t**4 - 3*t**4 - 4*t**2 + 3*t**4 + 4*t**2 + (0*t**3 + 4*t**3 - 2*t**3)*(-3*t + 4*t + t)). 84*t**5 Expand -848*b**2 - 38*b**5 + 848*b**2 + (b**3 + b**3 + 0*b**3)*(4*b**2 - 2*b**2 + 15*b**2). -4*b**5 Expand (v**4 + 2*v**2 - 2*v**2 + (0*v**2 + 0*v**2 + 2*v**3)*(v + 2*v - v) + 0*v**4 + 2*v**4 + 2*v**4 - v**4 + 0*v**4 + 10*v**4)*(5*v + 0*v + 0*v). 90*v**5 Expand (1 - 3 + 4)*(5 - 5 + 13*h)*(-6*h - 4*h + 0*h). -260*h**2 Expand (t - t**2 - t)*(-179*t + 25 + 178*t + 18) - 5*t**3 + 3*t**3 - t**3 + (0 - 2*t**2 + 0)*(-4*t + t + 4*t). -4*t**3 - 43*t**2 Expand -g + g + g + (-g - 2*g + g)*(-1 - 2 + 2) - 2*g + g + 0*g - g + g + g + 63 - 143*g - 63 + (-2 - g + 2)*(-5 - 1 + 4). -138*g Expand (-3*i - 4*i + 5*i)*(-4 + 3 + 0)*(537 - 1127 + 501). -178*i Expand (14*a**2 + 26*a**2 + 25*a**2)*(4*a + a - 6*a)*(-3*a + 5*a - 4*a). 130*a**4 Expand 2*h - 2*h + 5*h**2 + (1 - 4 + 5)*(-2 + 2 + 3*h**2) + 3*h**2 - 3*h**2 - 2*h**2 + (-3*h**2 + h**2 + 0*h**2)*(-4 + 3 - 4). 19*h**2 Expand (0*z + 2*z - 4*z)*(2 - 2*z - 2) - 5*z + 5*z + z**2 + 40*z**2 + 17*z**2 - 197*z**2 + z + 1 - 1 + z**2. -134*z**2 + z Expand (t + 2 - 2)*(-t + 2*t + t)*(t + 0*t - 3*t)*(-3*t - 2*t + t). 16*t**4 Expand (-s + 3*s + s)*(-4 + 2 - 4) + 8*s - 13 + 13. -10*s Expand (5 - 11 - 1)*(-j + 3*j + 0*j + (1 - 2*j - 1)*(1 - 6 + 3) - 3*j + 3*j + 2*j)*(-7 - 1 + 9)*(-j**3 - 3*j + 3*j). 56*j**4 Expand (-c - 2*c**2 + c)*(2*c**3 - 3*c**3 + 3*c**3) + 7*c**4 - 7*c**4 + 5*c**5 + c**5 + 4*c**4 - 4*c**4 + (-3*c**4 + 2*c**4 + 3*c**4)*(3 - 3 + 2*c). 6*c**5 Expand 101*j + 235*j**3 - 42*j - 234*j**3 - j**2 + j**2 + 2*j**3 + (-3*j + 6*j - j)*(-3*j + j**2 + 3*j). 5*j**3 + 59*j Expand (o - 2 + 2)*(70*o**2 + 153*o**2 - 28*o**2). 195*o**3 Expand (2*n**2 + 4*n**2 - 5*n**2)*(-41*n - 20*n - 22*n) + 1 - 2*n**3 - 1. -85*n**3 Expand (18*m**3 - 490*m**2 + 490*m**2)*(-2*m**2 + m**2 + 0*m**2) + (0*m - 2*m**3 + 0*m)*(m**2 + 3*m**2 - 6*m**2). -14*m**5 Expand (-u + 0 + 0)*(-u + u - 2*u**2) + 0*u**3 - 6*u**3 + 2*u**3 + 0*u**3 - u**3 + 21 - 13 - u**3 + 0*u + 0*u. -4*u**3 + 8 Expand (-1514*r - 1514*r + 3020*r)*(-r - 2*r + r). 16*r**2 Expand (12 - 2 + 11)*(-1 - 4*o - 2 + 2). -84*o - 21 Expand (542 - 542 - 11*r + (r + r - r)*(5 + 0 - 3) + 3*r - r + 0*r - 2*r + 6*r - 3*r)*(1 - 6 + 3)*(-r + 3*r - 4*r). -24*r**2 Expand (26*z**4 + 149*z**4 + 1431*z - 1431*z)*(-6*z + 2*z + 2*z). -350*z**5 Expand -2*h + 5*h + 2*h + (2 - 5 + 5)*(-h + 0*h + 0*h) + h - 3*h + 3*h - 3*h - 4*h + 6*h + (-2 + 2 + 1)*(-4*h + 5*h + h). 5*h Expand -4*j**2 - 3 + 3 - 4*j**2 - j**2 + 6*j**2 + (-1 + 0 + 2)*(-2*j**2 + 1 - 1) - 3*j**2 + 0*j**2 + j**2 - 3*j + 3*j - 22*j**2. -29*j**2 Expand 21*x + 18*x - 9*x + (2*x + 2*x + 0*x)*((3 + 1 - 6)*(0 - 4 + 5) - 2 + 1 + 2). 26*x Expand (-3 + j**2 + 3 + (4*j - j - 2*j)*(1 - 1 + j) - 4*j**2 + 7*j**2 - 2*j**2)*(-36 + 143 + 136). 729*j**2 Expand (12*t - 1 + 27*t - 52*t)*(-3*t**2 + t**2 + t**2). 13*t**3 + t**2 Expand (-5*c + 4*c + 3*c)*(-3 + 2 + 3 + (5 - 1 - 3)*(3 - 3 - 1))*(3*c**3 - 5*c**3 + 3*c**3 + (-17 - 48 + 127)*(-c**3 + 8*c**3 - c**3)). 746*c**4 Expand (-6 + 10 + 0)*(118*k - 66*k - k**2 - 89*k + k**3). 4*k**3 - 4*k**2 - 148*k
Suppose 23*m - 22*m - 9 = 0. Calculate the smallest common multiple of 10/3*m/5 and 3. 6 Let n = 169 - 85. What is the lowest common multiple of n and 48? 336 Suppose 17 + 8 = -5*t. Find the common denominator of -28/15 and ((-155)/(-75)*6)/(51/t). 255 Let j be 50/(-15)*54/(-5). Suppose -3*u + j = -u. What is the least common multiple of u and 16? 144 Suppose 3*n = -4*z - 63, 0 = -2*n + 7*n + 3*z + 94. Suppose -60 = 7*u + 17. Let k = u - n. Calculate the least common multiple of k and 1. 6 Suppose 1874 = 3*u - 1747. Let x = u - 7385/6. Find the common denominator of -13/2 and x. 6 Let a(h) = -h + 20. Let g(v) be the second derivative of 5*v**4/3 - v**3/6 - v**2/2 + 2*v. What is the smallest common multiple of g(-1) and a(12)? 40 Suppose 16 = -2*a - 0*z + 4*z, 3*a - 5*z = -20. Suppose -5*h - 4*j + 228 = 0, a = 3*h + h + 3*j - 182. What is the least common multiple of 4 and h? 44 Suppose -5*k - 20 = 5*n, -2*n + 8 = 4. Let s be k/(-24) + (-1)/4. Let g(m) = -m**3 - 2*m**2 + 22. What is the least common multiple of 18 and g(s)? 198 Suppose 0 = -4*k + 2*k + x - 31, 4*k + 56 = 4*x. Let o be 19/(-5 + 10 + -6). Let v = k - o. Calculate the least common multiple of 10 and v. 10 Let a = 5479/1890 + -106/35. Calculate the common denominator of a and -25/18. 54 Let h = -21 - -18. Let k be (-56)/(-12)*h - 2. Find the common denominator of 3/14 and (-54 - 13)*(-2)/k. 56 Let v(q) = 4 - 3 - 6 + 3*q - 1. What is the least common multiple of 5 and v(3)? 15 Suppose -4*b = -7*b + 138. Let p = 18 - -4. What is the lowest common multiple of p and b? 506 Let g = 140 - 557/4. What is the common denominator of ((-21)/4)/(18/(-32)) and g? 12 Let r(o) = -o**3 + 11*o**2 + 9*o + 5. Let q be r(10). Suppose -3*b + 4*c + 260 = 0, -2*b - 45 + q = 2*c. What is the common denominator of 2/b*26 + 2 and 23/20? 20 Suppose -149 = -4*t - 0*t + a, 9 = 3*a. Find the common denominator of 2 + (1 - 5) + 70/t and (-2)/(-3) + (-68)/66. 209 Let s(j) = 3*j + 28. Suppose -3*d - 21 = 3. What is the smallest common multiple of 8 and s(d)? 8 Suppose 119 + 111 = 5*o. What is the lowest common multiple of 6 and o? 138 Calculate the smallest common multiple of 717 + ((-3)/21)/(5/35) and 18. 6444 Let t be (60/25)/3*-1367. Let a = 1103 + t. Calculate the common denominator of -77/2 and a. 10 Suppose -30 = b - 58. Suppose -4*o - b = -84. Calculate the smallest common multiple of 14 and o. 14 Let z(f) = -2*f - 7. Let k be z(2). Let t = 5 - k. What is the lowest common multiple of t and 84? 336 What is the least common multiple of 10*((-36)/(-10) - 0) and 48? 144 Find the common denominator of (-660)/(-88)*22/(-10) and 25/109. 218 Let d(a) = 33*a**2 + 4*a - 3. Let y be d(8). Let b = 17073/8 - y. Find the common denominator of b and -101/96. 96 Let m(v) = 2*v + 17. Let x be m(-7). Suppose 5*h = -x*a + 48, 5*a - 4*h - 64 = a. What is the smallest common multiple of a and 2? 16 Suppose 0*d + 4*d = 0. Suppose d = 4*b + 7 + 1. Calculate the common denominator of 70/9 and (-2)/b - (-98)/(-10). 45 Calculate the lowest common multiple of (-2 + (-316)/(-6))/((-6)/(-18)) and 8. 152 Let z = 873 + -93. Calculate the lowest common multiple of z and 12. 780 Find the common denominator of -8 - -6 - (-95)/45 and 68/537. 1611 Let b be (9 + -5)*(-2)/4. Let y be b/2 + (-19768)/(-19760). Let j = -11737/11115 + y. Calculate the common denominator of j and -53/8. 72 Suppose -10*a + 4*a + 24 = 0. Let d be (6/5)/(a/30). Suppose 5*n - 24 = -d. Calculate the lowest common multiple of 6 and n. 6 Suppose 3*u = 7 + 20. Let x(q) = q**3 - 10*q**2 + 9*q + 4. Calculate the least common multiple of x(u) and 8. 8 Suppose 177 = 6*j + 33. What is the least common multiple of j and 64? 192 What is the least common multiple of (-102)/(-21) - 5 - 464/(-14) and 29 + (-1 - -2) - -3? 33 Let f(g) = -g**3 + 14*g**2 - 13*g + 1. Calculate the smallest common multiple of ((-5)/(-20) + -1)/((-4)/16) and f(13). 3 Let t = 1823/1206 - 9/134. Find the common denominator of t and -5/36. 36 Let v be ((3 + 1)/2)/1. Suppose v*z + 3*s - 5 = -3, -z + 23 = -4*s. Calculate the common denominator of z and (-6)/(-1)*19/4. 2 Let p(w) = -w + 1. Let h be p(-10). Suppose 3*x + 5 = h. Calculate the smallest common multiple of x and 1. 2 Let c = 21 + -35. Let q(z) = z**3 + 13*z**2 - 15*z - 8. What is the least common multiple of q(c) and 16? 48 Let g = 150/341 + -28779/11935. Calculate the common denominator of g and (-1)/(-5) + 2/(-8). 140 Find the common denominator of 53/60 and 1/(-15)*(465/(-12) - 2). 60 Let i = -3658/3 - -1189. Let w = -332/9 - i. Find the common denominator of (-6)/(-84) + 1374/756 and w. 9 Suppose -3*z = -0*z + m + 75, -5*m - 135 = 5*z. Let l be (-143454)/10*(-4)/z. Let r = 2388 + l. Calculate the common denominator of r and 49/9. 90 Let g be (-1)/(472/(-68) + 7). Suppose -49 = -2*i + i - 4*w, -w = -5. Let h = g + i. What is the smallest common multiple of h and 9? 36 Let z be (-39)/3 + 3 + 0. Let w = -14 - z. Calculate the least common multiple of (-3)/((-6)/w) + 20 and 10. 90 Let x = 85 - 64. Calculate the smallest common multiple of 56 and x. 168 Suppose -f + 65 = 4*m - 0*m, -4*f - m + 305 = 0. Calculate the lowest common multiple of 182 and f. 2002 Suppose b - 2 = 2*g, 0*b - 3*g = b - 27. Let d(s) = 4*s + b*s**2 + 15*s**2 - 3*s. Find the common denominator of d(-1) and 1. 1 Let l = 377/16 - 535/48. Calculate the common denominator of -55/12 and l. 12 Let x = 5659/1097 + -128236599/17552. Let o = -7296 - x. Find the common denominator of o and -83/2. 16 Find the common denominator of ((-32)/672)/(3/(738/(-4))) and 15/13. 182 Calculate the common denominator of -13 and ((-36)/496)/(267/(-66) - -4). 62 Let u = 50 - 27. Suppose 4*b + 71 = 3*f, -5*f + 118 = -5*b + 33. Let d = u + b. What is the lowest common multiple of 5 and d? 15 Suppose 0 = f + 8 - 4. Let l be (669/(-8044))/(-1) - f. Let u = l + 1/6033. What is the common denominator of u and -29/16? 48 Let o = 334 - 288. Find the common denominator of -61/18 and o. 18 Let l(s) = 3*s - 10. Let n be l(4). Let c(m) = 3*m + 7*m**n - m**2 - m**3 - 5 + 3 - 4. What is the lowest common multiple of c(6) and 14? 84 Suppose n - 74 = -q, q - 2*n = -0*n + 80. Calculate the smallest common multiple of q and 12. 228 Let l(i) = -i + 10. Let k be l(3). Suppose -k + 29 = 2*c. What is the least common multiple of 7 and c? 77 Let z = 2/39479 - -95499693/157916. Let w = z + -625. Find the common denominator of 3/16 and w. 16 Let z(m) = 2*m**3 + 18*m + 0*m**2 - 20*m - 1 - 5*m**2. Calculate the least common multiple of z(3) and 110. 110 Suppose -11 = q - 25. What is the common denominator of 9/(-40)*-86 - q/(-35) and 46/36 + 2/(-2)? 36 Suppose 0 = 5*z - 17 - 3. Suppose -3*s + 19 = 2*s - 3*m, -10 = s + z*m. Let x = 23 - 9. Calculate the lowest common multiple of x and s. 14 Let p = 4 - 0. Let d = -10 - -6. What is the lowest common multiple of p and (3/d)/((-3)/12)? 12 Let d = -8 + 14. Let p(h) = 5*h**2 - 5*h. What is the least common multiple of p(2) and d? 30 Suppose -44 = -6*r - 14. Find the common denominator of 11/(-6) + -2 + 1 and (-1)/r + 2 + 434/(-80). 24 Let s be (-23702)/(-5915) - 4 - (-1 + 1). Let h = 39757/5915 - s. Find the common denominator of h and 41/(-2)*(-2 + 1). 14 Let g be (-3 + 105/25)*5. Suppose 3*z - g + 0 = 0. Suppose -5*k = x + z*x - 10, -3*x - k + 26 = 0. What is the smallest common multiple of 3 and x? 30 Suppose 5*m = 3*k - 4, 3*k = 4*k - 2*m - 1. What is the lowest common multiple of 30 and k? 30 Suppose 4*s + 70 = 218. Suppose -5*n + 4*o - s = -87, 3*o + 20 = 2*n. What is the lowest common multiple of n and 21? 210 Suppose 3*i - 6 = 6*i. Let g be -18*(-2 - i/4). Calculate the common denominator of (-54)/(-8) + g/(-18) and 89/8. 8 Let c = -29873/1476 + -4/369. Find the common denominator of c and 29/718. 1436 Calculate the lowest common multiple of (4/(-18))/(9/(-81)) and 10. 10 What is the least common multiple of 7 + 3/(3/2) and ((-1)/(-2))/(1/16)? 72 Let m = -813727/30 + 27110. Let j = m - -143/6. Calculate the common denominator of j and -3 - -2 - 495/10. 10 Calculate the smallest common multiple of 13 and 78 - ((-1016)/200 + (-6)/(-75)). 1079 Suppose -4 = -5*q - 24, j - 10 = 3*q. Calculate the common denominator of (-47 + 3)/((-85)/(-17)) and j + 4*(-11)/(-7). 35 Let p = -56335 + 1689887/30. What is the common denominator of (-16)/(-9) - (7 + -5) and p? 90 Let a = -12/727 - -99743/8724. Find the common denominator of a and ((-16)/324)/((-4)/78). 108
Let c(i) = -i - 1. Let u be c(-6). Let p = 9 - u. Factor 0*r + 2*r - 2*r**3 + p*r**3 - 4*r**2. 2*r*(r - 1)**2 Let r(m) be the first derivative of m**5/30 - m**4/27 - m**3/27 - 3*m - 7. Let w(y) be the first derivative of r(y). Suppose w(z) = 0. What is z? -1/3, 0, 1 Let o(b) be the first derivative of 1/9*b**3 - 7 + b + 2/3*b**2. Determine x so that o(x) = 0. -3, -1 Let u(v) be the third derivative of v**2 + 1/210*v**5 + 0*v**4 + 0*v - 1/735*v**7 + 0*v**6 + 0 + 0*v**3. Factor u(m). -2*m**2*(m - 1)*(m + 1)/7 Let g(h) be the first derivative of 0*h**3 + 0*h**5 + 0*h**4 + 1/180*h**6 + 0*h - 1/2*h**2 - 3. Let c(t) be the second derivative of g(t). Factor c(w). 2*w**3/3 Let o = 214 - 1066/5. Let -o*u**4 - 1/5*u**5 - 2/5*u**2 - u**3 + 0 + 0*u = 0. Calculate u. -2, -1, 0 Let c(n) = n**4 - n**3 + n**2 + n. Let s(i) = 8*i**4 + 2*i**3 + 12*i**2 - 2*i - 8. Let t(z) = 6*c(z) - s(z). Factor t(k). -2*(k - 1)*(k + 1)*(k + 2)**2 Let h(p) = 11*p**2 - p + 2. Let k be h(1). Let o be (0 + 1)/(30/k). Factor -4/5 + 6/5*j - o*j**2. -2*(j - 2)*(j - 1)/5 Let h(y) be the third derivative of 0*y - 1/40*y**6 - y**2 + 0 - 3/70*y**7 + 1/8*y**4 + 1/4*y**5 - y**3. Determine n so that h(n) = 0. -1, 2/3, 1 Suppose 5 = -k + 10. Suppose 4*a - k = 7. Factor 0 + 0*f + 2/11*f**a - 2/11*f**2. 2*f**2*(f - 1)/11 Let w(m) be the third derivative of -m**6/300 + 10*m**2. Determine o, given that w(o) = 0. 0 Let z(p) = -p**2 - p + 4. Let n be z(-2). Factor 3/7*b + 1/7*b**3 + 1/7 + 3/7*b**n. (b + 1)**3/7 Let y(a) be the third derivative of a**8/224 - a**7/70 - 3*a**6/80 + a**5/10 + a**4/4 + 20*a**2. Factor y(h). 3*h*(h - 2)**2*(h + 1)**2/2 Let v(z) = -z**2 + 12*z - 32. Let l be v(8). Solve -1/2*j**3 + l*j**2 + 0*j + 1/2*j**5 + 0*j**4 + 0 = 0. -1, 0, 1 Let d(p) = -9*p**5 + 7*p**4 - 5*p**3 - 7*p. Let r(o) = 4*o**5 - 3*o**4 + 2*o**3 + 3*o. Let f(j) = 3*d(j) + 7*r(j). Factor f(b). b**3*(b - 1)*(b + 1) Suppose 0 = 15*p - 26*p + 44. Determine r so that 0 - 14/3*r**3 - 2/3*r - 10/3*r**2 - 2*r**p = 0. -1, -1/3, 0 Solve 3/4*k + 3/4*k**2 - 3/2 = 0 for k. -2, 1 Let u(o) be the second derivative of o**7/189 - 8*o**6/135 + o**5/15 + 20*o**4/27 + 25*o**3/27 - 10*o. Let u(h) = 0. Calculate h. -1, 0, 5 Let p(l) be the third derivative of -2*l**7/105 + l**6/15 + l**5/5 - 4*l**4/3 + 8*l**3/3 + 7*l**2. Factor p(y). -4*(y - 2)*(y - 1)**2*(y + 2) Let x(d) = d**2 + 4*d + 3. Suppose -16 = 6*a - 2*a. Let j be x(a). Factor 6*r + 10*r**2 - 15*r**4 + 3*r**3 - 16*r**2 + 24*r**3 + j*r**5 - 15*r**2. 3*r*(r - 2)*(r - 1)**3 Let i(m) be the second derivative of 1/28*m**7 + 0*m**3 + 4*m - 1/80*m**5 + 1/24*m**4 - 7/120*m**6 + 0 + 0*m**2. Let i(g) = 0. What is g? -1/2, 0, 2/3, 1 Let a = 7/4 + -37/24. Let p(o) be the third derivative of 0 - 3/40*o**6 - 1/6*o**3 + a*o**4 - 3*o**2 - 1/20*o**5 + 0*o. Factor p(u). -(u + 1)*(3*u - 1)**2 Let f = -3 - -3. Suppose 0*a - 2*a = f. Find j, given that j - 3*j**4 + a*j**5 - j**5 + j**4 + 2*j**2 = 0. -1, 0, 1 Find s such that -4/7*s**4 + 8/7*s**3 + 0 + 4/7*s**2 - 8/7*s = 0. -1, 0, 1, 2 Solve -1/5 + 1/5*k**2 + 0*k = 0. -1, 1 Factor 21/4*r**2 - 27/4*r + 3/2. 3*(r - 1)*(7*r - 2)/4 Let g(n) be the second derivative of 0*n**4 - 1/210*n**7 + 1/150*n**6 + 0*n**5 + 6*n + 0 + 0*n**3 + 0*n**2. Factor g(w). -w**4*(w - 1)/5 Let r = -9 - -7. Let l be 1/r*(1 + -5). Determine u so that -5 + 3*u - 4*u**4 + 0 + u**4 - 2*u**3 + 2*u**l - u**5 + 6 = 0. -1, 1 Suppose -10 = k - 2*z + 6*z, -3*k + 2*z + 40 = 0. Let i = -8 + k. Factor 4*f - 3 - 3*f - 3*f + 1 + 4*f**i. 2*(f - 1)*(2*f + 1) Let n(j) = j**3 + 4*j**2 + 11*j - 4. Let z(q) = -5*q**3 - 25*q**2 - 65*q + 25. Let i(x) = 35*n(x) + 6*z(x). Find b, given that i(b) = 0. -1, 1, 2 Factor -2*d**3 - 16/9 + 2*d + 14/9*d**2 + 2/9*d**4. 2*(d - 8)*(d - 1)**2*(d + 1)/9 Let y(z) = -6*z**3 - 34*z**2 - 20*z + 3. Let s(h) = -18*h**3 - 102*h**2 - 60*h + 8. Let b(l) = -3*s(l) + 8*y(l). Factor b(j). 2*j*(j + 5)*(3*j + 2) Let d = 1 + 1. Let g = 4 - 2. Factor 2*h - 6*h + g*h**3 + 2*h**3 + d*h**4 - 2. 2*(h - 1)*(h + 1)**3 Let k = -2669/5 + 535. Solve -4/5*y + 2/5*y**2 - k = 0. -1, 3 Let q(n) be the second derivative of -3*n**6/20 - 2*n**5/5 - 5*n**4/24 + n**3/6 - 17*n. Factor q(k). -k*(k + 1)**2*(9*k - 2)/2 Let c = 302 - 298. Find p such that 4/3*p**3 + 0*p + 4/3*p**2 + 1/3*p**c + 0 = 0. -2, 0 Let x(q) be the second derivative of 6*q**5/5 + 7*q**4/3 - 22*q**3/3 - 4*q**2 + q. Factor x(r). 4*(r - 1)*(r + 2)*(6*r + 1) Let h(x) = x**2 - 7*x - 28. Let j be h(10). Let c(q) be the first derivative of -1/15*q**6 - q**4 - 4/3*q**3 - 2/5*q**5 - 2/5*q - q**j + 1. Factor c(g). -2*(g + 1)**5/5 Let s = -202 - -98. Let j = 337/3 + s. Factor -3 + 10*i - j*i**2. -(5*i - 3)**2/3 Determine u, given that -2/7*u**4 + 6/7*u - 2/7*u**2 - 6/7*u**3 + 4/7 = 0. -2, -1, 1 Let f be (501/284 - 2)*-2. Let y = 2/71 + f. Find t such that -t**4 + 0*t**3 + y*t**5 + 0 + 0*t**2 + 0*t = 0. 0, 2 Let g(f) be the first derivative of 3*f**5/5 - 3*f**4/4 - 3*f**3 + 15*f**2/2 - 6*f - 8. Suppose g(k) = 0. What is k? -2, 1 Let g(h) be the second derivative of -5/12*h**4 + 0 - 2/3*h**3 - 1/2*h**2 - 1/10*h**5 - 9*h. Factor g(o). -(o + 1)**2*(2*o + 1) Suppose 4*m**2 - 8 - 3*m**2 + 12 + m**2 + 6*m = 0. What is m? -2, -1 Let h(m) = -6*m**4 - 9*m**3 + 30*m**2 - 33. Let t(o) = 3*o**4 + 4*o**3 - 15*o**2 + 16. Let p(q) = 4*h(q) + 9*t(q). Solve p(v) = 0. -2, -1, 1, 2 Let w(p) = -32*p + 2. Let r be w(-3). Let a = -486/5 + r. Factor a - 14/5*q + 6/5*q**2. 2*(q - 2)*(3*q - 1)/5 Suppose a + 0 = 2. Suppose 0*d = 5*y + 4*d + 10, -33 = -4*y + 5*d. Determine j, given that 3*j**5 + y*j**a - 3*j**5 - 2*j**5 + 2*j**4 + 2*j**3 - 4*j**4 = 0. -1, 0, 1 Factor 2/5*j**2 + 12/5*j + 0. 2*j*(j + 6)/5 Let x(l) be the first derivative of -4 + 3/4*l**4 - 1/2*l**6 - l**3 + 0*l + 3/5*l**5 + 0*l**2. Factor x(h). -3*h**2*(h - 1)**2*(h + 1) Factor -1/6*r**2 + 1/3 + 1/6*r. -(r - 2)*(r + 1)/6 Let f(h) = h + 2. Let v be f(-6). Let w(k) = -k**3 - 2*k**2 + k - 2. Let b(a) = -2*a**3 - 5*a**2 + 2*a - 5. Let i(p) = v*b(p) + 10*w(p). Factor i(o). -2*o*(o - 1)*(o + 1) Factor -10 - 23*u**3 - 8*u + 10 + 19*u**3 + 12*u**2. -4*u*(u - 2)*(u - 1) Let s(g) = -2*g**2 + 48*g. Let v be s(24). Factor 0*d + v + 1/6*d**3 + 1/2*d**2. d**2*(d + 3)/6 Suppose 3*g + 5*j = 5*g + 7, 2*j + 2 = 2*g. Factor 0 - 1/4*y**3 + 3/4*y**g - 3/4*y**2 + 1/4*y. y*(y - 1)*(y + 1)*(3*y - 1)/4 Suppose -5*w + 6 - 21 = 0. Let y(h) = -h**3 - 3*h**2 + h. Let p(g) = 6*g**3 + 16*g**2 - 6*g. Let l(t) = w*p(t) - 16*y(t). Determine a so that l(a) = 0. -1, 0, 1 Let o = -4 + 9. Suppose -5*h + 4 = 4*a, o*a - 2*a = 3. Let 2/3*b**3 + 1/3*b**4 + h*b**2 - 2/3*b - 1/3 = 0. What is b? -1, 1 Let r(s) be the first derivative of 7*s**4/18 - 5*s**3/9 - 2*s**2/3 - 2*s - 3. Let j(l) be the first derivative of r(l). Let j(t) = 0. What is t? -2/7, 1 Let g(a) be the second derivative of 0*a**2 - 2*a + 0*a**4 + 0*a**3 - 1/15*a**6 + 0 + 1/35*a**5. Factor g(d). -2*d**3*(7*d - 2)/7 Suppose 12 = -1276*k + 1280*k. Factor 0*n**2 + 2/3*n**k + 4/3 - 2*n. 2*(n - 1)**2*(n + 2)/3 Let i(f) = 3*f + 18. Let l be i(-5). Let v(a) be the first derivative of -2/3*a**l + a**2 + 4*a - 1. Factor v(b). -2*(b - 2)*(b + 1) Solve s**2 + 0*s**2 - 6*s**2 + 3*s + 2*s**2 = 0 for s. 0, 1 Let z = 36 + -33. Find d, given that -2*d**z + 4/5*d**2 - 4/5 + 2*d = 0. -1, 2/5, 1 Let a = 6 + -4. Suppose -b**a + 4 + 0 - 3 = 0. Calculate b. -1, 1 Suppose 16*c - 8 = 8*c. Determine q, given that -1/2*q**3 - 5/2*q + c + 2*q**2 = 0. 1, 2 Let h = 9 - 5. Let z = 38 + -35. Determine x so that 3*x**h + 0*x**5 + 3*x**5 - 2*x**4 - 4*x**5 + x**z - x**2 = 0. -1, 0, 1 Suppose 4*s - 4 = -y, -4*s - 12 = -3*y + s. Let h be (-20)/(-90) - y/18. Factor 2/5*j + h + 4/5*j**2. 2*j*(2*j + 1)/5 Let b(k) = k**2 - 2*k - 5. Let g be b(4). Find m, given that g*m - 2*m**2 - 4 + 2*m + m = 0. 1, 2 Let n(v) be the first derivative of -v**6/3 + 2*v**5/5 + v**4 - 4*v**3/3 - v**2 + 2*v + 5. What is r in n(r) = 0? -1, 1 Let m be (20/(5/(-1)))/(-6). Let f(s) be the first derivative of -1/2*s**4 + m*s**3 + s**2 + 0*s - 3 - 2/5*s**5. Factor f(u). -2*u*(u - 1)*(u + 1)**2 Let p(l) be the third derivative of -l**5/45 - 2*l**4/9 - 8*l**3/9 - 6*l**2. Solve p(h) = 0 for h. -2 Factor 0 + 0*d**3 + 0*d - 1/2*d**2 + 1/2*d**4. d**2*(d - 1)*(d + 1)/2 Let p = -2 - -5. Determine j so that -4*j**4 + 0*j + j + 4*j**2 - p*j + 2*j**5 = 0. -1, 0, 1 Factor 0 + 28/9*p**3 + 44/9*p**2 + 4/9*p**4 + 20/9*p. 4*p*(p + 1)**2*(p + 5)/9 Factor 2*z**5 - 3*z**4 + 0*z - 4*z - 8*z**2 + 11*z**4 + 2*z**5. 4*z*(z - 1)*(z + 1)**3
Is 64672 a multiple of 43? True Does 39 divide 437978? False Is 6889 a multiple of 2? False Is 12 a factor of 384636? True Is 3264244 a multiple of 47? True Is 6 a factor of 8694696? True Is 145 a factor of 11276470? False Is 3075718 a multiple of 763? False Is 239475 a multiple of 93? True Does 187 divide 3301485? True Is 7276577 a multiple of 121? True Is 11942951 a multiple of 449? True Is 59094 a multiple of 26? False Does 5 divide 2061400? True Is 7 a factor of 208368? False Is 19 a factor of 940946? False Is 764395 a multiple of 244? False Is 42 a factor of 288120? True Does 104 divide 1256112? True Does 64 divide 224404? False Does 4 divide 93808? True Is 449244 a multiple of 7? False Is 604720 a multiple of 7? False Is 3 a factor of 39285? True Is 30405 a multiple of 5? True Does 36 divide 31230? False Is 7 a factor of 25783? False Is 84840 a multiple of 28? True Is 381582 a multiple of 261? True Does 21 divide 50924? False Does 702 divide 1475604? True Does 4 divide 250425? 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False Is 134 a factor of 1306961? False Does 37 divide 139897? True Does 87 divide 627966? True Is 29 a factor of 1142600? True Does 77 divide 647339? True Does 195 divide 4706850? False Does 15 divide 175981? False Does 7 divide 7037457? True Is 51539 a multiple of 17? False Is 4 a factor of 208335? False Does 101 divide 117480? False Is 28083104 a multiple of 113? False Is 6799317 a multiple of 9? False Does 52 divide 27869088? True Does 28 divide 3295768? True Does 237 divide 1414890? True Is 250 a factor of 491750? True Is 15 a factor of 190986? False Does 14 divide 1965403? False Is 408 a factor of 926607? False Does 97 divide 9297353? True Does 1439 divide 17079962? False Is 7813052 a multiple of 60? False Is 383 a factor of 202224? True Is 61 a factor of 445204? False Does 8 divide 43560? True Is 473 a factor of 105878? False Is 131440 a multiple of 265? True Does 639 divide 1167453? True Is 168350 a multiple of 25? True Is 24 a factor of 3636974? 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True Is 1278 a factor of 11194002? True Is 1923600 a multiple of 120? True Is 2112846 a multiple of 1009? True Does 186 divide 40640? False Is 2748686 a multiple of 139? False Does 132 divide 152724? True Does 97 divide 2905441? True Does 17 divide 165356? False Does 19 divide 1114464? True Is 27 a factor of 7679? False Is 19143 a multiple of 13? False Is 5536482 a multiple of 366? True Is 555 a factor of 68020? False Is 93077 a multiple of 303? False Is 244 a factor of 202032? True Is 7 a factor of 38545? False Is 33000 a multiple of 66? True Is 1018956 a multiple of 12? True Is 28 a factor of 3991834? False Is 15 a factor of 112278? False Does 298 divide 8176822? True Does 641 divide 7263171? True Is 1597508 a multiple of 6? False Is 2097963 a multiple of 63? True Does 8 divide 99540? False Is 4800210 a multiple of 795? True Is 313565 a multiple of 289? True Is 15 a factor of 1466613? False Is 324 a factor of 369036? True Does 89 divide 2434506? True Is 16 a factor of 9489? 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Divide -152439966 by -3. 50813322 -366920 divided by -45865 8 Divide -3 by -7607397. 1/2535799 Calculate -10692607 divided by 7. -10692607/7 What is 2440488 divided by 1? 2440488 -6953176 divided by 44 -1738294/11 What is 94985170 divided by -294985? -322 Calculate -2 divided by 3907955. -2/3907955 1776943 divided by -4 -1776943/4 What is -341888036 divided by 14? -24420574 What is 31 divided by -791691? -31/791691 What is -1140369930 divided by -1155390? 987 -69922372 divided by -13 5378644 What is -4211256 divided by 392? -10743 Calculate -4331 divided by 83704. -4331/83704 What is 8327176 divided by -44? -189254 What is -230967000 divided by -132? 1749750 What is -36988485 divided by 1? -36988485 Calculate -2599 divided by -9634. 2599/9634 What is -15 divided by 905068? -15/905068 Calculate 90520 divided by -41. -90520/41 27058596 divided by 14933 1812 Divide 0 by -35479409. 0 Calculate 18006723 divided by 2. 18006723/2 Calculate 5 divided by -805369. -5/805369 Calculate 7520970 divided by -4. -3760485/2 Divide 3206553 by -53. -60501 -11103082 divided by 5551541 -2 Divide -236792160 by 4832. -49005 Divide 3282162 by 2262. 1451 Divide 104267725 by -1097555. -95 3 divided by 140507728 3/140507728 Calculate -15 divided by 424266. -5/141422 What is -9175 divided by 33155? -1835/6631 Divide 27776427 by 3. 9258809 -4530906 divided by 302 -15003 -375804771 divided by -17 22106163 253443876 divided by -1002 -252938 What is -1714565 divided by 24? -1714565/24 Calculate 1329351 divided by -508. -1329351/508 What is 9222 divided by 703? 9222/703 What is 129192 divided by 6? 21532 Calculate -1722 divided by -60871. 1722/60871 What is 4742688 divided by -32? -148209 Calculate -116728290 divided by -29410. 3969 Divide 1020419 by -1. -1020419 Calculate -5402124 divided by -194. 27846 -7369 divided by 30634 -7369/30634 -1240979 divided by 11 -1240979/11 Divide -12251815 by 15. -2450363/3 Calculate 3 divided by 57102099. 1/19034033 Divide 766750 by -30670. -25 Divide 2 by 4296602. 1/2148301 What is -5 divided by -720250? 1/144050 Divide 655308000 by -3924. -167000 -1226516 divided by 18037 -68 19235640 divided by 3768 5105 28870290 divided by 1603905 18 Calculate 38309477 divided by 6. 38309477/6 Calculate 14 divided by -468375. -14/468375 Divide 10406720 by -520336. -20 38754955 divided by -1 -38754955 Divide -1816742 by 1816742. -1 -260832 divided by -199 260832/199 Calculate 211600106 divided by 4. 105800053/2 Calculate 1528288 divided by 57. 1528288/57 Calculate -2487690 divided by 45. -55282 Calculate 35369550 divided by -25. -1414782 2251184 divided by 43292 52 592753920 divided by 1852356 320 Calculate -925812 divided by -13. 925812/13 Divide 5141823 by -63. -1713941/21 Calculate 2 divided by 2996435. 2/2996435 Calculate -21776907 divided by -57. 382051 Calculate 570 divided by 19889. 570/19889 Calculate 0 divided by -112295534. 0 Calculate -3746636 divided by 8. -936659/2 Divide 135893946 by 4. 67946973/2 Divide -4023698 by 167. -24094 What is -208 divided by -149372? 52/37343 Divide -115 by -16838. 115/16838 What is -7243666 divided by 7222? -1003 What is 584192 divided by 177? 584192/177 Divide 21 by -971974. -21/971974 Divide 367 by 6646. 367/6646 Calculate 1596744 divided by 6. 266124 What is 7547056 divided by 55088? 137 Divide -62 by -5282641. 62/5282641 Calculate -322393398 divided by 6. -53732233 Calculate 7892397 divided by 27. 292311 -21 divided by 161509 -21/161509 What is 27947978 divided by -2? -13973989 54512575 divided by -1329575 -41 Calculate 185719130 divided by -5. -37143826 Divide 7221720 by 218840. 33 What is -11528275 divided by 25? -461131 Divide 705305 by -55. -141061/11 Divide -3560108 by 1. -3560108 0 divided by 8631785 0 Divide 55092576 by -214368. -257 What is -34891038 divided by 1? -34891038 Calculate 59633308 divided by 28. 2129761 Calculate -1181463248 divided by -2. 590731624 Calculate -1659105 divided by -161. 10305 What is 3655568 divided by 2? 1827784 What is 4885849 divided by -82811? -59 What is 21862662 divided by 36077? 606 Divide 3280655 by 7. 468665 What is 14184051 divided by 2026293? 7 What is -12053 divided by 6367? -12053/6367 Calculate -1663673 divided by 2. -1663673/2 Divide -7321797 by 93. -78729 Divide 1133386 by -6. -566693/3 18670 divided by 153 18670/153 Calculate -5414 divided by -534. 2707/267 Divide 21142062 by -93. -227334 What is -294403180 divided by -58880636? 5 What is 1307716140 divided by -9290? -140766 Divide 29000889 by -2. -29000889/2 Calculate 44183744 divided by 88. 502088 Calculate -479984 divided by -24. 59998/3 -13914 divided by 5036 -6957/2518 What is -1305558030 divided by -7? 186508290 Divide 43812461 by 6. 43812461/6 -8282560 divided by -4160 1991 -5432336 divided by 5432336 -1 1 divided by 785773 1/785773 Calculate -6626136 divided by -2208712. 3 53863 divided by 234 53863/234 Calculate 232470 divided by 1722. 135 What is -96267913 divided by 7? -13752559 What is 13 divided by 2039812? 13/2039812 Calculate -2 divided by 897985. -2/897985 What is 89149950 divided by -3? -29716650 Calculate -666218 divided by 2069. -322 Calculate -7976339 divided by -91. 1139477/13 Divide -613 by -3981. 613/3981 -60373361 divided by 691 -87371 Calculate -54730 divided by 313. -54730/313 Calculate 513649 divided by 513649. 1 -255029786 divided by 2 -127514893 21924716 divided by -121 -181196 What is -1 divided by 197808104? -1/197808104 Divide -9 by 732955. -9/732955 Divide 22 by 95054. 11/47527 102 divided by -4780555 -102/4780555 Calculate 1700790 divided by 24297. 70 Divide -269125500 by 2527. -106500 What is 5645184 divided by 14701? 384 Divide -3910460 by 339. -3910460/339 1491 divided by 1147 1491/1147 Divide -181752753 by 5. -181752753/5 Calculate 7857225 divided by 2619075. 3 Calculate 82480983 divided by 6. 27493661/2 Calculate 6311835 divided by -5. -1262367 What is 52103809 divided by 4? 52103809/4 Divide -337590000 by 56265. -6000 Divide 17791554 by -471. -37774 Divide 3226 by 4531. 3226/4531 Divide 39951885 by 7990377. 5 Divide -286 by 16490. -143/8245 What is -38736194 divided by -3? 38736194/3 -27790860 divided by -9263620 3 Divide 29 by -629585. -29/629585 Divide 38440532 by -1. -38440532 What is 661314 divided by -3? -220438 4117078 divided by -2107 -1954 What is 150365232 divided by -58? -2592504 -4131045 divided by 4 -4131045/4 Calculate 1215952 divided by 32. 75997/2 Calculate -15798996 divided by -36. 438861 Divide -67739980 by 16934995. -4 What is 0 divided by -3241367? 0 Divide 4589184 by -7104. -646 669 divided by -32100 -223/10700 Calculate 3311954 divided by -143998. -23 What is -4628 divided by 2504? -1157/626 What is -4786 divided by -283? 4786/283 Divide -279923182 by -3635366. 77 Divide -81683847 by 2471. -33057 What is 65277 divided by 4920? 21759/1640 Calculate -25374668 divided by -44. 576697 Calculate -150507169 divided by 1. -150507169 Divide -7034912 by -4. 1758728 192 divided by -79051 -192/79051 Divide -338688465 by 112896155. -3 -118 divided by -1958212 59/979106 Divide -315647829 by 3. -105215943 -17395 divided by -46 17395/46 Calculate 44950584 divided by -377736. -119 Divide 4 by -5935185. -4/5935185 Calculate 16 divided by 10391433. 16/10391433 -2390304 divided by 24 -99596 Divide 4115 by 45762. 4115/45762 Calculate -6437 divided by 14505. -6437/14505 What is -5806 divided by 25289? -5806/25289 Divide -201631380 by 15. -13442092 Calculate -1412928 divided by 66. -21408 Calculate 107682 divided by -2. -53841 Divide -10794186 by 163. -66222 What is 57997320 divided by -4833110? -12 What is 126 divided by 21995? 126/21995 What is 0 divided by -3117225? 0 Calculate 1 divided by -238276776. -1/238276776 What is 5561497 divided by -8? -5561497/8 -73411360 divided by 110 -667376 What is -11343840 divided by 1417980? -8 Divide -194 by 66668. -97/33334 Divide -172035000 by -625. 275256 2281 divided by -989 -2281/989 Calculate -144160812 divided by 3. -48053604 Calculate -64 divided by -8167264. 2/255227 What is -176617823 divided by -5? 176617823/5 -3232005 divided by 30 -215467/2 What is 4314 divided by 2092? 2157/1046 What is -110208 divided by -3? 36736 Divide 930586 by 21. 930586/21 Calculate 318 divided by -465704. -159/232852 Calculate -6903 divided by 252. -767/28 Calculate -56859483 divided by -3. 18953161 Calculate -9398582 divided by 23. -408634 What is 20504601 divided by -183? -112047 -5458114 divided by 1 -5458114 20316208 divided by -230866 -88 What is 10 divided by -21196214? -5/10598107 Calculate -2500916 divided by 2. -1250458 Divide 11309 by 465. 11309/465 What is 43622 divided by 1199? 43622/1199 What is -13536072 divided by -1188? 11394 Calculate -784971 divided by 19. -784971/19 What is -46475386 divided by -1457? 31898
Let r(h) = 22*h**2. Let f(u) = 42*u**2. Calculate f(r(y)). 20328*y**4 Let w(k) = -23*k + 6. Let g(f) = 16*f. Calculate w(g(n)). -368*n + 6 Let j(k) = -2*k**2. Let o(l) = -2328*l**2. Calculate o(j(h)). -9312*h**4 Let u(t) = -2*t**2 + 379. Let g(w) = -22*w. Determine g(u(j)). 44*j**2 - 8338 Let z(p) be the first derivative of -16*p**3/3 + 2. Let h(w) = -2*w**2. Calculate z(h(i)). -64*i**4 Let r(d) = -2*d. Suppose 2*s + 2*s = 8. Let h(q) = -2*q + s*q + 2*q**2. Determine r(h(f)). -4*f**2 Let d(s) = -445*s + 7. Let q(r) = -r. Give d(q(m)). 445*m + 7 Let j(t) = -35*t**2 + 7*t + 7. Let z(f) = -17*f**2 + 3*f + 3. Let i(u) = 3*j(u) - 7*z(u). Let r(o) = 2*o**2. Give r(i(h)). 392*h**4 Let p(u) = -7*u. Let a(q) be the first derivative of 2*q**2 - 5*q**2 + 2*q**2 - 7. Give a(p(w)). 14*w Suppose -4*o + 5*m + 32 = 0, 0*o = o + 2*m + 5. Let g(b) = b - o*b + b + 2*b. Let l(f) = 6*f. What is g(l(z))? 6*z Let p(i) = i**2. Let g(x) = -x + 24. Let a be g(10). Let t(h) = -h**2 + a*h - h**2 - 14*h. What is t(p(f))? -2*f**4 Let q(f) = 6*f. Let j(m) = -3*m - 5. Let l(s) = 6*s + 9. Let v(n) = 9*j(n) + 5*l(n). Give v(q(o)). 18*o Suppose 0 = y + 3 - 2, -3*r + y - 17 = 0. Let z(m) = 60*m**2 - 35. Let w(i) = -10*i**2 + 6. Let t(b) = r*z(b) - 35*w(b). Let j(k) = -k. Determine t(j(a)). -10*a**2 Let b(i) = -18*i**2 - 11*i. Let a(c) = -9*c**2 - 6*c. Let t(r) = 11*a(r) - 6*b(r). Let l(f) = -37*f**2 - 35*f**2 + 74*f**2. Calculate l(t(w)). 162*w**4 Let t(b) = 9*b**2. Let y = -10 - -15. Let j(l) = -7*l**2 - 5*l + 5. Let c(x) = -6*x**2 - 4*x + 4. Let f(g) = y*c(g) - 4*j(g). Give f(t(a)). -162*a**4 Let s(h) = -8*h**2. Let w(b) = -212*b**2. Give s(w(a)). -359552*a**4 Let z(i) be the third derivative of 2*i**5/15 + 16*i**2. Let g(f) = f. Calculate g(z(d)). 8*d**2 Let o(a) = 2*a**2. Let d(b) = -2*b**2 - 14. Let i(r) = r**2 + 13. Let x(k) = -6*d(k) - 7*i(k). Let q(w) be the first derivative of x(w). Calculate o(q(v)). 200*v**2 Let v(c) = -c**2. Let p(l) = -13*l. Suppose 3 - 15 = r. Let f(n) = 3*n. Let t(w) = r*f(w) - 3*p(w). What is t(v(b))? -3*b**2 Let i(u) = -u. Let q(f) = -38*f. Calculate q(i(o)). 38*o Let z(i) = -646*i**2. Let s(w) = -w. Determine z(s(u)). -646*u**2 Let y(z) = z. Let d(f) = -7*f**2 + 4*f + 4. Let j(x) = 84*x**2 - 49*x - 49. Let k(p) = -49*d(p) - 4*j(p). Determine y(k(o)). 7*o**2 Let j(d) = -7*d**2 + 3*d**2 + 2*d**2 - 2*d**2. Let c(u) be the first derivative of u**2/2 + 1. Calculate j(c(o)). -4*o**2 Let u(r) = -27*r**2. Let s(n) = -65 - 2*n + 131 - 66. What is s(u(m))? 54*m**2 Let s(c) = c. Let d(r) = -r. Let w(v) = -5*d(v) - 4*s(v). Suppose m + 5*b - 20 = 3*m, m = 3*b - 12. Let l(n) = -3*n + 3 - 3 + m*n. Give l(w(k)). -3*k Let d(n) = 7*n - 2. Let o(w) = 8*w - 3. Let h(i) = -7*d(i) + 6*o(i). Let m be h(-6). Let f(j) = -3*j**2 + 3*j**2 + m*j**2. Let z(k) = -k**2. Determine z(f(c)). -4*c**4 Let y(p) = -382*p**2. Let x(k) = -4*k - 6. Give x(y(m)). 1528*m**2 - 6 Let t(x) = -9*x**2. Let m(a) = -a + 2*a + 4*a - 3*a. What is m(t(r))? -18*r**2 Let o(c) = -311*c. Let l(v) = -5*v. Give o(l(z)). 1555*z Let p(a) = 19*a**2. Let t(b) = b + 3*b - 6*b + 3*b. Determine t(p(o)). 19*o**2 Let h(y) = -y. Let c(x) be the third derivative of x**5/4 + 5*x**2. Give c(h(p)). 15*p**2 Let w(r) = 11*r. Let t(s) be the second derivative of s**3/6 + 2*s. What is t(w(c))? 11*c Let n(z) = z. Suppose o + 3*o = -8. Let y be (-7 - -5)*(o + 1). Let h(j) = -4*j**2 + 2*j**y - j**2 + j**2. Determine h(n(m)). -2*m**2 Let c(z) = -29*z**2 + 3*z. Let t(d) = 7*d**2. Determine c(t(g)). -1421*g**4 + 21*g**2 Let z(y) = -3*y. Let o(w) = -6*w - 4*w + 4*w - w. Give o(z(j)). 21*j Let g(t) = -15*t. Let r(y) be the third derivative of -4*y**2 + 0*y + 0*y**3 + 0*y**4 + 0 - 1/30*y**5. Calculate g(r(j)). 30*j**2 Let h(m) = 12*m. Let q(y) = -y. Calculate h(q(j)). -12*j Let v(q) = -3*q. Let f(y) = -58*y + 2. What is v(f(i))? 174*i - 6 Let l(o) = o. Let h(n) = 1221*n**2 - 2*n + 2. Give l(h(v)). 1221*v**2 - 2*v + 2 Let r(d) = -19*d. Let i(h) = 13*h. Give r(i(s)). -247*s Let z(n) = -7*n + 5. Let p(j) = -3*j + 2. Suppose 20 = -4*t, v + 11 = 5*t + 40. Let s(x) = v*z(x) - 10*p(x). Let i(y) = 3*y. Determine s(i(l)). 6*l Let r(w) be the first derivative of -2*w**3/3 - 10. Let g(p) = -5*p. Calculate r(g(b)). -50*b**2 Let i(r) = -8*r. Let o(s) = 3*s + 39. What is i(o(p))? -24*p - 312 Let x(w) = 60*w. Let q(k) = -8*k + 0*k + 3*k + 3*k. Determine q(x(m)). -120*m Let v(k) = -k. Let c(u) be the first derivative of u**4/8 + 3*u**2/2 - 2. Let l(f) be the second derivative of c(f). Give l(v(d)). -3*d Let f(d) = 8*d**2. Let i(k) = k + 31. Give i(f(a)). 8*a**2 + 31 Let g(q) = 2*q - 3*q + 2*q. Let f(b) be the third derivative of -b**5/60 - 26*b**2. Determine f(g(a)). -a**2 Let h(s) = -3*s**2 - 131*s. Let t(z) = 2*z. Calculate t(h(q)). -6*q**2 - 262*q Let x(s) = 2*s. Let g(t) = 61*t**2. Calculate x(g(z)). 122*z**2 Let k(h) = 4*h**2 + 2. Let i(n) = 21*n**2 + 11. Let w(d) = 4*i(d) - 22*k(d). Let t(r) = 2*r**2. Let p(m) = m**2. Let f(x) = -2*p(x) - t(x). What is w(f(v))? -64*v**4 Let m(c) be the second derivative of -c**3/6 - 8*c. Let u(d) = 2*d**2. Calculate m(u(v)). -2*v**2 Let t(o) = -5*o**2 + o**2 + 6*o**2. Let c(x) = -39*x**2. Calculate t(c(g)). 3042*g**4 Let p(m) = 5*m**3 - 3*m - 6 + 5*m - 9*m**2 - 4*m**3 + 7*m. Let n be p(8). Let z(b) = 2*b**n + 2 - 2 - b**2. Let d(g) = -2*g. Give d(z(l)). -2*l**2 Let r be (1 - -1 - 4) + 3. Let y(s) = -r - 4 + 2*s**2 + 5. Let g(a) = -5*a**2. Calculate g(y(n)). -20*n**4 Let t(c) be the second derivative of 1/6*c**3 + 0 + 0*c**2 - c. Let g(v) = -2*v. What is g(t(b))? -2*b Let f(z) = 6*z - 4. Let u(h) = -7*h + 0 - 3 + 8. Let j(w) = 2*w + 2. Let i be j(-3). Let q(t) = i*u(t) - 5*f(t). Let a(l) = -2*l**2. Determine a(q(n)). -8*n**2 Let j(l) = -l. Let o(a) = a**3 + 4*a**2 - 3. Let m be o(-4). Let q = -1 - m. Let y(x) = x**2 + 2 - q. Give j(y(t)). -t**2 Let m(a) be the second derivative of a**4/12 - a. Let i(b) be the second derivative of -2*b**3/3 + b. What is i(m(r))? -4*r**2 Let q(f) = 26*f. Let y(d) = -2*d. Let h(r) = 3*r. Let o(a) = h(a) + y(a). Calculate q(o(n)). 26*n Let x(v) = 3*v + v + 5*v - v. Let u(a) = -3*a + 5. Let g(m) = 2*m - 3. Let d(i) = -5*g(i) - 3*u(i). Calculate d(x(j)). -8*j Let s(x) = 2*x + 3. Let h(c) = 142*c. Give s(h(y)). 284*y + 3 Let m(d) = 4*d. Let q(s) = -5*s + 6. Let o(v) = -6*v + 7. Let b(a) = 6*o(a) - 7*q(a). Calculate m(b(x)). -4*x Let f(m) = m. Let r(j) = -16*j**2 + j. Calculate r(f(u)). -16*u**2 + u Let u(k) = 3*k**2. Let j(m) = 16 + 2*m**2 - 6 - 10. What is u(j(i))? 12*i**4 Let l(r) = -r + 9. Let y(w) = -w**2 + w + 1. Let i(c) = -2*c**2 + c + 1. Let s(m) = -i(m) + y(m). Give l(s(v)). -v**2 + 9 Let y(k) = -k + 12. Let r be y(5). Let i(o) = -r + 13*o + 4 + 3. Let h(a) = 2*a**2. Determine h(i(z)). 338*z**2 Let f(h) be the first derivative of 2*h**3/3 + 25. Let c(r) = 40*r**2 + 1. Determine c(f(v)). 160*v**4 + 1 Let j(r) = r - r + r + 0. Let l(c) be the third derivative of -c**5/60 + c**3/6 + c**2. Let f(t) be the first derivative of l(t). Give f(j(s)). -2*s Suppose 5*x = 4 + 11. Let w(o) = -2*o + 3. Let a(z) = -3*z + 4. Let t(c) = x*a(c) - 4*w(c). Let b(m) = 3*m. Calculate b(t(l)). -3*l Let a(l) = -12*l**2. Let d(w) be the first derivative of w**2 + 2. Calculate a(d(v)). -48*v**2 Let y(z) be the second derivative of -2*z + 0 + 1/2*z**3 + 0*z**2. Let c(l) = 2 - 5*l**2 + 4*l**2 - 2. Calculate c(y(o)). -9*o**2 Let s(z) = -22*z**2 - 34*z. Let l(a) = 2*a**2 + 3*a. Suppose -3*t + 204 = -0*t. Let h(v) = t*l(v) + 6*s(v). Let u(r) = -2*r. What is h(u(q))? 16*q**2 Let f(m) be the third derivative of m**4/24 + 2*m**2. Let x(i) be the third derivative of 0 - 2*i**2 + 1/12*i**4 + 0*i**3 + 0*i. What is f(x(t))? 2*t Let h(k) = -k - 2. Let i(u) = u + 3. Let f(n) = 3*h(n) + 2*i(n). Let d(j) = 9*j. Determine f(d(p)). -9*p Let f(q) = 4*q**2 - 5*q**2 + 2*q**2 - 2*q**2. Let s(l) = -l. Let y(x) = 23*x. Let n(r) = 4*s(r) + y(r). What is n(f(d))? -19*d**2 Let b(g) = -g. Let h(d) = -2*d. Let q(o) = -9*o. Let k(f) = 4*f. Let j(i) = -7*k(i) - 3*q(i). Let t(v) = 2*h(v) - 6*j(v). What is t(b(c))? -2*c Let z(v) = v + 4. Let l(b) = -6*b**2. Calculate l(z(g)). -6*g**2 - 48*g - 96 Let i(l) = l**2. Let c(m) be the third derivative of -7*m**5/30 + m**2. Let d(k) = -c(k) - 12*i(k). Let o(u) = u. What is d(o(z))? 2*z**2 Let m(j) = -2*j. Let y(b) be the first derivative of -3*b**2/2 - 1. Determine y(m(q)). 6*q Let b(u) = -14*u**2. Let n(m) = -23*m. Give n(b(f)). 322*f**2
Two letters picked without replacement from {g: 1, d: 1, v: 1, e: 1, a: 1}. What is prob of picking 1 e and 1 g? 1/10 What is prob of picking 4 q when four letters picked without replacement from {x: 2, q: 18}? 12/19 Three letters picked without replacement from tzvdddtddtvddvvvdd. What is prob of picking 1 t and 2 d? 9/68 Calculate prob of picking 1 k, 1 x, and 1 y when three letters picked without replacement from hyxydfkf. 1/28 Four letters picked without replacement from lnlnenennnnl. Give prob of picking 2 n, 1 l, and 1 e. 14/55 What is prob of picking 1 x and 1 n when two letters picked without replacement from {n: 5, u: 5, x: 3}? 5/26 Two letters picked without replacement from {h: 1, f: 1, b: 1, t: 1, a: 1}. What is prob of picking 1 t and 1 f? 1/10 Three letters picked without replacement from hpppphpppppypyp. Give prob of picking 1 y and 2 h. 2/455 Two letters picked without replacement from {w: 12, f: 1, o: 2, r: 2, j: 2}. Give prob of picking 2 r. 1/171 Four letters picked without replacement from etdrrtdgrzt. What is prob of picking 1 d, 1 t, 1 e, and 1 r? 3/55 Calculate prob of picking 1 u, 1 y, and 2 o when four letters picked without replacement from ofofufffoffuofofufyf. 2/323 Three letters picked without replacement from {q: 4, b: 2, i: 1, l: 4, v: 3}. Give prob of picking 1 v, 1 l, and 1 q. 12/91 Four letters picked without replacement from yyylylyyyyltyw. Give prob of picking 1 y, 1 t, and 2 w. 0 Two letters picked without replacement from npnigfgfff. Give prob of picking 1 i and 1 n. 2/45 Two letters picked without replacement from dvydygvvdvgugjd. Give prob of picking 1 y and 1 v. 8/105 What is prob of picking 3 s when three letters picked without replacement from swtxtssqtxx? 1/165 Three letters picked without replacement from {f: 1, c: 4, n: 2}. Give prob of picking 2 c and 1 n. 12/35 Three letters picked without replacement from xglgggx. What is prob of picking 2 x and 1 l? 1/35 Three letters picked without replacement from {y: 2, d: 1, k: 1, f: 3}. What is prob of picking 1 d, 1 y, and 1 f? 6/35 What is prob of picking 2 y when two letters picked without replacement from hnnynenxnnnnynxneyx? 1/57 Four letters picked without replacement from {u: 1, t: 5, i: 14}. What is prob of picking 4 i? 1001/4845 What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhhh? 1 Four letters picked without replacement from {r: 1, p: 2, x: 3, m: 3, d: 2, e: 1}. What is prob of picking 2 d, 1 e, and 1 x? 1/165 Two letters picked without replacement from {u: 2, c: 3, e: 2, k: 9, b: 3, m: 1}. Give prob of picking 1 c and 1 e. 3/95 Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {f: 1, p: 2, g: 1, d: 2, m: 1}. 2/21 Four letters picked without replacement from sdssdlssuklzu. Give prob of picking 1 u, 2 l, and 1 k. 2/715 Calculate prob of picking 2 j and 2 s when four letters picked without replacement from {r: 3, j: 2, b: 2, s: 4, p: 1}. 2/165 Two letters picked without replacement from {c: 5, m: 3, w: 3, g: 2}. Give prob of picking 1 m and 1 c. 5/26 Two letters picked without replacement from atabbtttvvvvvx. Give prob of picking 2 t. 6/91 Two letters picked without replacement from eeeeeseeseee. What is prob of picking 1 e and 1 s? 10/33 Two letters picked without replacement from {r: 4, h: 5, c: 3, g: 5, k: 1, f: 2}. Give prob of picking 1 f and 1 g. 1/19 Four letters picked without replacement from ulnlluuuulnulu. Give prob of picking 1 n and 3 u. 10/143 Four letters picked without replacement from {k: 2, v: 1, a: 2, m: 2, r: 1}. Give prob of picking 2 k and 2 a. 1/70 What is prob of picking 4 j when four letters picked without replacement from {y: 4, j: 10, q: 5}? 35/646 What is prob of picking 1 y and 1 h when two letters picked without replacement from hhy? 2/3 Calculate prob of picking 2 z and 1 e when three letters picked without replacement from ezezeeeeezeeeee. 36/455 Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 4, f: 1, y: 1, z: 1, l: 7, c: 4}. 4/153 What is prob of picking 1 z, 1 p, and 2 x when four letters picked without replacement from kmzxxvkvvvmxzmp? 2/455 Three letters picked without replacement from {q: 2, d: 3, m: 3}. What is prob of picking 1 m, 1 d, and 1 q? 9/28 What is prob of picking 3 w and 1 m when four letters picked without replacement from mmmwmmwwwmwmmm? 90/1001 Calculate prob of picking 2 j when two letters picked without replacement from hdvjsddhjdh. 1/55 Calculate prob of picking 3 v and 1 s when four letters picked without replacement from svsvsvsvvsssv. 28/143 Two letters picked without replacement from {j: 1, h: 2, g: 1}. What is prob of picking 2 h? 1/6 Calculate prob of picking 3 d when three letters picked without replacement from ddddddppd. 5/12 Four letters picked without replacement from {b: 7, j: 9}. What is prob of picking 2 b and 2 j? 27/65 Two letters picked without replacement from {x: 1, g: 1, u: 1}. What is prob of picking 1 x and 1 g? 1/3 Three letters picked without replacement from {s: 4, r: 3, a: 2}. What is prob of picking 1 s and 2 r? 1/7 What is prob of picking 2 t and 1 j when three letters picked without replacement from {n: 1, t: 5, c: 3, j: 2, g: 1}? 1/11 Two letters picked without replacement from rmxxmxmmr. What is prob of picking 1 x and 1 m? 1/3 Two letters picked without replacement from ttttmikttttbtiiitvi. What is prob of picking 1 i and 1 b? 5/171 What is prob of picking 1 v and 1 p when two letters picked without replacement from {v: 2, s: 2, p: 1, b: 3, q: 2, i: 2}? 1/33 Two letters picked without replacement from txxtpdt. Give prob of picking 1 t and 1 d. 1/7 Two letters picked without replacement from mww. What is prob of picking 2 w? 1/3 Calculate prob of picking 4 x when four letters picked without replacement from {s: 4, m: 7, x: 4}. 1/1365 What is prob of picking 3 g and 1 v when four letters picked without replacement from {g: 4, i: 2, v: 7}? 28/715 Calculate prob of picking 2 n when two letters picked without replacement from nkzognog. 1/28 Two letters picked without replacement from {z: 3, p: 9, w: 7}. Give prob of picking 2 p. 4/19 Two letters picked without replacement from {n: 7, u: 1}. What is prob of picking 2 n? 3/4 Calculate prob of picking 1 w and 1 c when two letters picked without replacement from wwcccwwwww. 7/15 Three letters picked without replacement from {j: 3, s: 2, a: 4}. What is prob of picking 1 a, 1 s, and 1 j? 2/7 Calculate prob of picking 2 y and 2 t when four letters picked without replacement from {t: 2, y: 7, v: 2}. 7/110 Calculate prob of picking 1 n, 1 a, and 2 w when four letters picked without replacement from {n: 4, a: 2, k: 3, w: 2}. 4/165 What is prob of picking 1 c and 1 k when two letters picked without replacement from cccckkkckkcccckk? 21/40 Four letters picked without replacement from {o: 6, l: 6, j: 3}. What is prob of picking 1 l and 3 o? 8/91 Three letters picked without replacement from {w: 13, b: 5}. What is prob of picking 3 w? 143/408 Calculate prob of picking 3 c when three letters picked without replacement from {i: 1, s: 9, c: 1}. 0 Calculate prob of picking 1 p and 3 m when four letters picked without replacement from {p: 4, f: 2, l: 2, m: 4}. 16/495 Two letters picked without replacement from akqakaakaq. What is prob of picking 2 k? 1/15 Calculate prob of picking 2 c when two letters picked without replacement from cxxcmccccacccx. 36/91 Two letters picked without replacement from {a: 5, e: 2, l: 1, r: 1}. Give prob of picking 1 e and 1 l. 1/18 Two letters picked without replacement from {c: 3, l: 3}. What is prob of picking 2 l? 1/5 What is prob of picking 1 f and 1 d when two letters picked without replacement from {d: 3, c: 2, x: 4, f: 1, m: 1}? 3/55 Calculate prob of picking 1 e, 1 l, and 2 k when four letters picked without replacement from {e: 5, k: 5, l: 1}. 5/33 What is prob of picking 1 h and 3 v when four letters picked without replacement from tghvvvfvhohggog? 4/455 What is prob of picking 2 r and 1 e when three letters picked without replacement from {e: 2, h: 7, r: 7}? 3/40 Calculate prob of picking 2 i when two letters picked without replacement from {y: 5, i: 7}. 7/22 Two letters picked without replacement from srshz. Give prob of picking 1 z and 1 r. 1/10 What is prob of picking 3 f when three letters picked without replacement from {f: 11, s: 5}? 33/112
Let g = 10 + 2. Suppose 0*d + d = 2*n - g, 3*d + 11 = n. Suppose -5 = -n*s + 30. What is the units digit of s? 7 Let o(h) = h**2 + 3*h + 2. Let t be o(-2). Suppose t - 6 = -2*d. Suppose 2*v = -d*v + 10. What is the units digit of v? 2 Let v(a) = -6*a + 2. Let l = -7 - -5. Let p(i) = -i**2 + 2. Let h be p(l). What is the tens digit of v(h)? 1 Let t = -189 + 474. What is the tens digit of t? 8 Suppose 3*o - 27 = 3*y, 5*y = -o - 3*o - 9. Let f(p) be the first derivative of p**4/4 - p**3 - 3*p**2/2 - 3*p + 1. What is the units digit of f(o)? 1 Let u = 1 + 15. Suppose 0 = -5*f + 3*r - 0*r + u, 0 = f - r - 2. What is the units digit of f? 5 Let u(m) be the third derivative of -3*m**4/4 + m**3/6 - 11*m**2. Let n be (-25)/15 - (-4)/6. What is the tens digit of u(n)? 1 Suppose -5*q - 29 = -3*x, 6*q - q = -x - 17. What is the units digit of x*(10/(-6) + 3)? 4 Let f = 11 - -16. What is the units digit of f? 7 Suppose 0 = 3*c - 4*c + 30. What is the units digit of c? 0 Suppose k = 1, -3*q + 620 = 2*q - 5*k. What is the units digit of q? 5 Let s = -4 - -4. Suppose 2*h + s = -6. What is the units digit of 3*(h - -1 - -4)? 6 Let q(k) be the first derivative of k**4/4 + 10*k**3/3 - 11*k**2/2 - 15*k - 3. Let r be q(-11). Let g = -8 - r. What is the units digit of g? 7 Let k(n) = n**3 + 6*n**2 + 5*n + 5. Let i be k(-5). Suppose w = i*w - 48. What is the units digit of w? 2 Let k be -1 - -1 - (-6 + 4). Suppose 6*i = k*i + 44. What is the tens digit of i? 1 Let a(o) = -14*o**2 - o - 1. Let v(h) = -14*h**2 - h - 1. Let z(i) = -4*a(i) + 3*v(i). What is the tens digit of z(-1)? 1 Suppose 2*f = -2*f + 104. What is the tens digit of f? 2 Suppose -3*o = 2*r - 135, 3*r + 5*o - 190 = 3*o. What is the units digit of r? 0 Let z = 29 - 60. Let f = z + 59. What is the units digit of f? 8 Let q = 7 + 10. What is the tens digit of q? 1 Let t = 106 - 64. Suppose 5*r - t = 2*r. What is the units digit of r? 4 Let h(k) = -k**3 - k**2 - k + 16. What is the tens digit of h(0)? 1 Suppose 2*g = 7*g. Let j = 10 - g. What is the tens digit of j? 1 Let z = -2 - -4. What is the units digit of (((-44)/(-1))/z)/1? 2 Let l(p) be the third derivative of p**5/30 + p**4/8 - p**3/2 - p**2. What is the units digit of l(-3)? 6 Suppose 1 = 5*q + 5*j + 11, j + 4 = 0. What is the tens digit of q*(-30)/(-8)*2? 1 Let i = 25 - 8. What is the units digit of i? 7 Suppose -2*h - 203 = -3*n, -n = n + 5*h - 110. What is the units digit of n? 5 Let q(s) = 8*s**2 - 3*s + 3. Let u be q(2). Let l = -16 + u. What is the tens digit of l? 1 Let i be (-5 + 8)*4/6. Suppose -i*x - 1 = -3. What is the units digit of x? 1 Suppose -2*x + 0*u + 53 = -u, 4*u = -4*x + 76. Suppose 2 = -t + x. What is the tens digit of t? 2 Suppose p = 2*x - 4*p - 171, 2*x = -2*p + 164. What is the tens digit of x? 8 Let x = -36 - -25. Let y = x + 41. What is the tens digit of y? 3 Suppose 16 = 3*m - 44. Suppose 0 = w + 4*w + m. Let v = -1 - w. What is the units digit of v? 3 What is the tens digit of 0/(-12) + (0 - -27)? 2 Suppose 0 = 4*m + 12, -i - 2 + 12 = -3*m. Let q(w) = w**2 + 0 - i + 6*w - 7. What is the units digit of q(-8)? 8 Let m = 38 - 5. What is the units digit of m? 3 Let j = -3 - -1. Let w = -3 + 3. Let c = w - j. What is the units digit of c? 2 Let c = 8 - 4. Suppose -2*d = -c*d + 3*m - 2, 5*m = 5*d. What is the units digit of d? 2 Suppose 2*w = -2*w - 32. What is the units digit of (-42)/(-4) - 4/w? 1 Suppose -10 = 2*r - 4*r. Suppose 5*g + r*c - 115 = 0, 0 = -2*g + 2*c + 45 + 1. Suppose 25 + g = 3*s. What is the units digit of s? 6 Let n = -11 + 13. Suppose -n*w - 5*t + 75 = 0, -4*w + 8 = -t - 131. What is the tens digit of w? 3 What is the tens digit of -3 + ((-1)/1 + 62)*4? 4 Let l(j) = j**2 - 5*j - 9. Let a be l(7). Suppose -a*x + 3*u + 2*u + 180 = 0, 0 = 5*x + 3*u - 212. What is the units digit of x? 0 Let t be (0/1)/(2 + -4). Let b be 4/4 - (-5 - t). What is the units digit of ((-4)/6)/(-2)*b? 2 Suppose 214 - 58 = 4*g. What is the tens digit of g? 3 What is the tens digit of (59 - 2) + 1 - -5? 6 Suppose -15 = 6*k - k. Let o = k - -11. What is the units digit of o? 8 Suppose -4*n = -5*x + 410, -2*x - n - 339 = -6*x. What is the units digit of x? 6 Let m be (-3)/((6/28)/1). Let g be -7 + (0/(-2))/2. What is the units digit of 4/m + (-16)/g? 2 Let s(f) = 4*f - 1. Let y = -10 + 16. What is the tens digit of s(y)? 2 Suppose -4*d + 27 = -4*x - 173, -3*x - 129 = 4*d. Let s be 1272/(-42) - 4/(-14). Let g = s - x. What is the units digit of g? 7 Let z = 1 - 1. Let j = 13 + -12. Let n = j - z. What is the units digit of n? 1 Suppose 20 = -3*j - 40. Let a be j/3 + 4/6. What is the units digit of 1*-2*(4 + a)? 4 Let p(s) = s**2 - 2*s. Let c be p(3). Suppose -2 = -q - c*w, -3*q - 5*w + 3 = -23. What is the units digit of q? 7 Suppose -w + 4*w = 18. Let d(f) = -f**2 - 2*f - 2. Let i be d(-2). What is the units digit of i/3 - (-40)/w? 6 Let b = 22 + -16. Suppose 38 = 4*x - b. What is the units digit of x? 1 Suppose -6*p + 820 + 152 = 0. What is the units digit of p? 2 Let n(v) = -v**3 - 8*v**2 - 8*v + 3. Suppose 18 = -4*o - 10. Let y be n(o). Suppose p + 0*p = y. What is the units digit of p? 0 Let x(m) be the first derivative of m**3/3 + 3*m**2 + m + 3. What is the tens digit of x(-9)? 2 Let o(g) be the first derivative of -g**4/4 - 10*g**3/3 - 5*g**2 - 8*g + 2. Let h be o(-9). What is the units digit of 4 + -3 + 4*h? 5 Let i = 3 + 2. Suppose -i*o + 21 = 4*b - 6, 2*o - b - 3 = 0. Suppose -3*p + 3 = -r, 16 = r + p + o. What is the units digit of r? 9 Let h be 1/(-2) - 44/(-8). Suppose h = -5*j + 30. Suppose -u = -j*d - 27, 0 = 5*u - 2*d - 11 - 55. What is the units digit of u? 2 Suppose -2*u + 12 = 2*s - 4*u, -4*s = -2*u - 14. Let a(w) = 14*w**3 - 2*w**2 + 1. Let t be a(s). Let p = 20 - t. What is the units digit of p? 7 Let l = 273 + -179. What is the units digit of l? 4 Let c(o) = 3*o**2 + 8*o - 23. What is the tens digit of c(-12)? 1 Suppose 3*n = 54 + 60. What is the tens digit of n? 3 Suppose -3*l + 20 = 5*a + l, -3*l = 0. Suppose -4*d - 6 - 56 = -2*r, -67 = a*d + 3*r. What is the tens digit of (d/(-5))/(5/25)? 1 Let y(n) = -n**3 - 9*n**2 + n + 10. Let l be y(-9). Let t = 7 - l. What is the units digit of t? 6 Suppose 2 = 5*n - 8. Suppose 2*a + 46 = 2*c, 5*c - 110 = 2*a + n*a. What is the units digit of c? 8 Suppose f = -u - 1, 5*f - 1 = u - 0. Let z = 8 + f. What is the units digit of z? 8 Suppose -z - z + 24 = 0. Suppose 0 = 2*n - 0 - z. What is the units digit of n? 6 Let v(j) = -j**3 - 6*j**2 - j + 4. Let x be v(-6). Let f(r) = r**2 - 10*r + 2. What is the units digit of f(x)? 2 Let l(s) be the second derivative of s**4/12 + 5*s**3/6 + 5*s**2 - 4*s. What is the tens digit of l(-6)? 1 What is the units digit of 9/(-3 + (-20)/(-6))? 7 Let h(a) = -a**3 + 8*a**2 + 7. Let n be h(7). What is the tens digit of (-25)/(-10)*n/10? 1 Suppose 3*r = 3*n + 342, -156 = -r + 5*n - 42. What is the units digit of r? 4 Let c be 16 - (-2 + -1) - 3. Suppose 4*q = c - 4. What is the units digit of q? 3 Let n(z) = z**2 - 3*z + 3. Let l be n(12). Suppose 5*x - 95 - 42 = -4*o, 3*o + x - l = 0. What is the units digit of o? 8 What is the units digit of (2096/4)/(1 + 4/4)? 2 Let r(s) = 12*s**2 + 7*s. What is the units digit of r(2)? 2 Suppose 5*c - 12 = 4*f - 5*f, -2 = -c. Suppose 0 = -2*q + j + 34, -2*q - f*q = 2*j - 84. What is the tens digit of q? 1 Let w be -3 - -6 - 1/1. Suppose -6 - w = -4*s. Suppose -2*u - 15 = -5*q - 5, 2*u - 3*q = -s. What is the units digit of u? 5 Let k = 0 - 0. Let p = k + 2. Suppose 2*m - 28 = -p*m. What is the units digit of m? 7 Let q(o) = o**2 + 5*o. Let d be q(-6). Let v = 18 - d. What is the tens digit of v? 1 Suppose -180 = -0*k - k. Suppose -5*g - u = -k, -3*g - 144 = -7*g - 2*u. Suppose 4*t + 2*d = g, 3*t + 0*d - 29 = -2*d. What is the units digit of t? 7 Suppose -4*j - 116 - 113 = -5*f, -3*j + 87 = 2*f. What is the units digit of f? 5 Suppose 0*u - 622 = -2*u. What is the hundreds digit of u? 3 What is the units digit of 1 + 0 + (-1)/((-4)/4)? 2 Let p be 5/2*-2 - -1. Let q(v) = -v**3 - 3*v**2 - v + 2. What is the units digit of q(p)? 2 Let x = 197 + -143. What is the units digit of x? 4 Let i be 4 - (-1 + -2 - -2). Suppose i*n = 52 + 3. What is the units digit of n? 1 Suppose -3*b + 5*q = -25, 0 = 2*q - 3 + 13. Let a = -13 + 15. Suppose 5*d + 4*j - 27 = b, 0 = -d - a*d + 5*j - 6. What is the units digit of d? 3 Suppose -3*k - i + 106 = 0, 5*k = 5*i + 74 + 76. Suppose w = -0*w + 5*q + k, 4*w - 136 = 2*q. What is the units digit of w? 4
Let h(x) = -13*x + 17. Let a(m) = -16*m - 2. Let j(w) = -18*w - 4. Let k(q) = 6*a(q) - 5*j(q). Determine 3*h(n) - 7*k(n). 3*n - 5 Suppose -3 = -3*k + 2*j, 3*j - 2 = -23*k + 21*k. Let i(f) = f + 1. Let a(b) = -2*b - 4. What is k*a(n) + 5*i(n)? 3*n + 1 Let l(s) = 2*s - 7. Let t(y) = 13*y - 2088. Calculate 6*l(g) - t(g). -g + 2046 Let d(k) = 7*k**3 + 2*k**2 + 5*k + 5. Let r(n) = -8*n**3 - n**2 - 6*n - 6. Suppose -112 = -20*b + 118 - 350. Calculate b*d(c) - 5*r(c). -2*c**3 - 7*c**2 Let s(z) = -z - 7. Let p be s(-8). Let c(m) = 3*m - 1. Let v = -492 + 493. Let x(o) = o - 1. Determine p*x(b) + v*c(b). 4*b - 2 Let f(o) = 6*o**2 - 3. Let d = -4223 - -4222. Let w = 21 + -16. Let c(q) = q**2 - 1. Give d*f(m) + w*c(m). -m**2 - 2 Let k(g) = 5*g**2 + g - 1. Let x(q) = 106*q**2 + 17*q - 4. What is 6*k(d) - x(d)? -76*d**2 - 11*d - 2 Let k(a) = 1128*a**2 - 2101*a**2 + 986*a**2 - 9. Let u = -6 + 4. Let d(z) = -z**2 + 1. Determine u*k(w) - 18*d(w). -8*w**2 Let c(p) = -2*p + p - 1 - 4706*p**2 + 9418*p**2 - 4711*p**2. Let k(n) = -5*n**2 + 6*n + 1. Determine 6*c(x) + k(x). x**2 - 5 Let q(w) = w**3 - 5*w**2 - 6*w - 2. Suppose 2*j - 2*p = 24, 2*j + 3550*p = 3551*p + 16. Let b(c) = 2*c**3 - 11*c**2 - 13*c - 4. What is j*b(l) - 9*q(l)? -l**3 + l**2 + 2*l + 2 Let m(w) = 10526*w + 91. Let u(p) = 3510*p + 33. What is 4*m(o) - 11*u(o)? 3494*o + 1 Let o be ((-3)/(-4))/(5/(-40)). Let l(k) = 5*k**2 - 4. Let y(q) = 89 - 165 + 4*q**2 + 73. Determine o*y(p) + 5*l(p). p**2 - 2 Suppose 19*a - 25 = 14*a. Let d(y) = 0 - 2 - 5 + a + 5*y + 4. Let q(v) = -9*v - 5. What is -5*d(m) - 2*q(m)? -7*m Let r(y) = -2*y. Let k(s) = -s. Let h be (20 - (0 - -13))/(84/(-60)). Let o = 35 - 23. Let v = o + -6. Determine h*r(c) + v*k(c). 4*c Suppose 4*h - 29 = 5*i, -2*i - 4*h + 832 = 810. Let q(f) = -f**2 + f. Let d(m) = 18*m**2 - 5*m. Determine i*d(b) - 5*q(b). -13*b**2 Let j(m) be the third derivative of m**4/8 - 8*m**3/3 - m**2 + 340*m. Let t(k) = -9 + 3 - 5 + 2*k. Determine 5*j(b) - 7*t(b). b - 3 Let t(l) = 8*l**2 - 6*l + 9. Let b(w) = 3*w**2 + 21*w + 5. Let j(m) = -2*m**2 - 13*m - 3. Let x(i) = -5*b(i) - 8*j(i). What is -t(g) + 6*x(g)? -2*g**2 - 15 Let w(j) = 51*j + 2553. Let m(s) = 14*s + 729. Determine 18*m(n) - 5*w(n). -3*n + 357 Let x(l) = 5*l**3 - 3*l**2 + 2. Suppose -2*n - 3*q = -6, -19*n = -22*n - q + 9. Let m(z) = z**3 - z**2 - z + 1. Suppose -9 = 6*f - 3. Determine f*x(r) + n*m(r). -2*r**3 - 3*r + 1 Let k(x) = 8 - 105*x**2 + 14*x + 11*x - 8 - 10*x. Let i(y) = 26*y**2 - 4*y. Determine -15*i(p) - 4*k(p). 30*p**2 Let x(i) be the first derivative of i**4/4 - 6629. Let s(w) = -4*w**3 + w**2 - 2*w - 5. Calculate s(d) + 3*x(d). -d**3 + d**2 - 2*d - 5 Let j(f) = -38*f + 34. Let p(a) = -113*a + 96. Determine -8*j(h) + 3*p(h). -35*h + 16 Let b be 4/(-6) - (-32)/(-6). Let y(q) = -3*q**2 + 0*q**2 - 3 - 5*q**3 - 7*q**3 + 7*q**3 + 6. Let j(w) = -w**3 - w**2 + 1. Calculate b*j(a) + 2*y(a). -4*a**3 Let i(f) = -297*f + 3. Let g(u) = 294*u - 2. Calculate 5*g(q) + 4*i(q). 282*q + 2 Let u(h) = 1768219*h**3 + h - 6*h - 1768195*h**3 - 5*h**2. Let j(y) = 23*y**3 - 4*y**2 - 4*y. Calculate 5*j(a) - 4*u(a). 19*a**3 Let k(t) = 6*t + 26 - 8 - 16 - 5. Let a(g) be the third derivative of -g**2 - 5/6*g**3 + 11/24*g**4 + 0*g + 0. Give -3*a(d) + 5*k(d). -3*d Let i(s) = 10*s**3 + 16*s**2 + 3*s + 9. Let w(y) = 10*y**3 + 18*y**2 + 2*y + 8. Determine -3*i(g) + 4*w(g). 10*g**3 + 24*g**2 - g + 5 Let l(o) = 58*o + 2507. Let a(k) = -49*k - 2505. Give 6*a(x) + 5*l(x). -4*x - 2495 Let n be ((-10)/(-4))/((-1)/2). Let q(u) = -6*u**2 + 28*u + 4. Let f(x) = 7*x**2 - 29*x - 5. Determine n*q(j) - 4*f(j). 2*j**2 - 24*j Let o(r) = 9*r. Let a(f) = 5*f - 3. Let v(t) = 9*t + 3. Let d(j) = 2*a(j) + 2*v(j). Determine 2*d(n) - 7*o(n). -7*n Let f(l) = l**2 + l + 1. Let o(b) be the third derivative of b**5/10 - b**4/12 + 5*b**3/6 + 7*b**2 + 37*b. Calculate 4*f(r) - o(r). -2*r**2 + 6*r - 1 Let s(b) = 4194*b**2 + 3728*b + 3728. Let i(d) = 2*d**2 + 2*d + 2. What is -9320*i(k) + 5*s(k)? 2330*k**2 Let l(q) be the second derivative of 3*q**3 + 252*q. Let u(w) = -73*w. Determine 18*l(a) + 4*u(a). 32*a Let f(s) = -38*s + 39. Let j(y) = -40*y + 31. Give -5*f(b) + 4*j(b). 30*b - 71 Let d(f) = 6*f + 1. Let h(c) = -2950*c - 177. Calculate 177*d(s) + h(s). -1888*s Let b(o) = -14*o**2 - 5*o + 10. Let k(s) = 61*s**2 + 21*s - 42. Let d(p) = -13*b(p) - 3*k(p). Let a(z) = 3*z**2 - 5*z + 9. What is -2*a(x) - 5*d(x)? -x**2 + 2 Let k(m) = 44*m - 2. Let i(l) = -31*l + 31*l - 3 + 0 + 4 + l. What is -2*i(w) - k(w)? -46*w Suppose -8 - 8 = -2*o. Let a(w) = -6*w**2 + 0 + o - 1. Let t(h) = -h**2 + 1. Let k be (15/5)/3*-1. Determine k*a(n) + 5*t(n). n**2 - 2 Let b(t) = 4930*t**2 - 319*t. Let f(g) = 2*g**2 - 295*g + 4454. Let z be f(129). Let c(k) = -93*k**2 + 6*k. What is z*c(h) - 6*b(h)? 87*h**2 Let c = 610 + -607. Let s(b) be the second derivative of 0*b**3 + 7/12*b**4 - b + 0 - 5/2*b**2. Let v(u) = -4*u**2 + 3. Determine c*s(n) + 5*v(n). n**2 Let t(p) = -40*p - 27. Let g(q) = -5 - 74*q + 180*q - 89*q + 5 + 13. Let a(z) = -13*g(z) - 6*t(z). Let w(y) = -6*y + 2. What is -4*a(b) - 14*w(b)? 8*b Let y(k) = -9*k**3 - 5*k**2 - 11*k - 5. Let p(m) = -3 + 2*m**2 - 31*m + 19*m - 3 - 10*m**3 - 4*m**2 - 4*m**2. What is -5*p(z) + 6*y(z)? -4*z**3 - 6*z Let s(k) = 4291*k**2 - 64*k + 4. Let g(b) = -4604243*b**2 + 68656*b - 4291. Determine -4*g(t) - 4291*s(t). 4291*t**2 Let p(d) = -1511*d + 9. Let r(v) = 6039471*v - 35976. Determine 11992*p(l) + 3*r(l). -1499*l Let j(g) = 6*g**2 - 5*g. Let o be 9480/44 + (-18)/(-33). Let y be 36/o - (-31)/(-6). Let f(a) = -7*a**2 + 6*a. Determine y*f(b) - 6*j(b). -b**2 Let r(n) = -4739*n - 14219. Let j be r(-3). Let o(p) = -6*p**2 - 2. Suppose 3 = -3*l - 0. Let s = -4 - l. Let i(w) = 7*w**2 - w + 2. Calculate j*i(x) + s*o(x). 4*x**2 + 2*x + 2 Let z(a) = 3*a**2 - 125*a + 1278. Let h be z(24). Let i(v) = v**2 - 8*v - 17. Let y(p) = p**2 - 7*p - 16. Calculate h*y(x) - 5*i(x). x**2 - 2*x - 11 Let p = -17049 + 17054. Let j(f) = -8*f**3 - 8*f**2 + 7*f + 4. Let g(k) = 4*k**3 + 4*k**2 - 3*k - 2. Determine p*g(y) + 2*j(y). 4*y**3 + 4*y**2 - y - 2 Let j(y) = 5*y - 3. Let u(b) = -6*b + 4. Let a = 1 - -6. Let n(f) = a*j(f) + 6*u(f). Let m(c) = -4*c - 66 - 69 + 151. What is -3*m(l) + 16*n(l)? -4*l Let c(f) = 8*f - 1. Suppose 0*w + 15 = 3*w. Let z = 189229 - 189227. Let o(j) = -16*j + 3. Calculate w*c(b) + z*o(b). 8*b + 1 Let q(g) = 11483*g**3 - 9*g**2 - 9*g + 9. Let z(u) = 68900*u**3 - 55*u**2 - 55*u + 55. What is 55*q(k) - 9*z(k)? 11465*k**3 Let k(n) = 217*n**2 - 49*n. Let y(h) = -3*h - 1145*h**2 + 5*h + 1136*h**2. Suppose -4*v - 24 = 4*j, -v = -0*v + 4. Determine j*k(s) - 49*y(s). 7*s**2 Let j(s) = -s - 2. Let c be 9/(1/1) + 1. Let z be c/4*6/15. Let g(o) = -29. Let q(a) = -13. Let x(y) = -4*g(y) + 9*q(y). Calculate z*j(p) - 6*x(p). -p + 4 Let z(w) = -2260*w**3 - 8*w**2 + 4*w - 5. Let o(h) = -4532*h**3 - 18*h**2 + 9*h - 11. What is 4*o(l) - 9*z(l)? 2212*l**3 + 1 Let r(o) = 67*o + 2. Let j(x) = 1963*x + 13. Let h(w) = 120*w. Let u(l) = 13*h(l) - j(l). Determine 13*r(n) + 2*u(n). 65*n Let g(x) = 43*x**2 - 5*x + 4. Let m(v) = -423*v**2 + 51*v - 42. What is 21*g(r) + 2*m(r)? 57*r**2 - 3*r Let s(b) = 327*b**3 + 4*b**2 - 4*b - 6. Let p(t) = -981*t**3 - 14*t**2 + 13*t + 22. Give -2*p(w) - 7*s(w). -327*w**3 + 2*w - 2 Let f(s) = 3*s**3 - 3*s**2 + 5. Suppose 0*t - 18*t = -36. Let u(b) = -1 - 2*b**2 + 12 + 5*b**3 - 2*b**t - 3. Determine -8*f(k) + 5*u(k). k**3 + 4*k**2 Let p(x) = 8*x**2 - 8*x - 11. Let z(s) = -2*s**2 - 9*s - 1. What is p(i) + 3*z(i)? 2*i**2 - 35*i - 14 Let o(y) = 104*y**2 - y + 6. Let g(r) = -113*r**2 + 2*r - 7. Give 3*g(n) + 4*o(n). 77*n**2 + 2*n + 3 Let b(j) = 8*j**3 - j**2 + j. Let t(x) = -49*x**3 + 7*x**2 - 6*x - 137. Determine -6*b(w) - t(w). w**3 - w**2 + 137 Let g(h) = -9*h + 1. Let w(q) = 5*q - 2 + 19*q + q - 8*q. What is 7*g(f) + 4*w(f)? 5*f - 1 Let a(o) = 10*o**3 - 31*o + 2315. Let d(y) = 3*y**3 - 9*y + 772. Calculate 2*a(r) - 7*d(r). -r**3 + r - 774 Suppose -5*y + 38 = -3*h, 3*y - 12 = 9. Let m(b) = -5*b + 5. Let s(t) = 1. Calculate h*m(q) + 4*s(q). 5*q - 1 Let m(a) = -2*a**2 + 31*a + 122. Let u(z) = -z**2 + 17*z + 62. Determine -6*m(j) + 11*u(j). j**2 + j - 50 Let i(z) = -13*z + 10. Let n(x) = -9 - 14728*x - 14728*x + 29468*x. Give -5*i(h) - 6*n(h). -7*h + 4 Let g(i) = -21*i + 4. Let v(m) be the second derivative of 7*m**3 - 9*m**2/2 + m + 58. Determine -9*g(h) - 4*v(h). 21*h
Which is the fourth biggest value? (a) -4 (b) -0.8 (c) 1/3 (d) -1 (e) 2 (f) -2 (g) -13.2 d Which is the fifth biggest value? (a) 2/7 (b) -8/5 (c) -2/7 (d) -2/15 (e) -11.86 (f) -5 (g) 6 b Which is the third biggest value? (a) 503 (b) 4/17 (c) -9 (d) 0.1 (e) -6 d Which is the third biggest value? (a) -3/160 (b) 137 (c) -15 c Which is the third smallest value? (a) -76/75 (b) -4/7 (c) 4 (d) 0.12 (e) -2/9 e What is the biggest value in -0.2, 2/5, 84, 38, 0.2, 0, -56? 84 What is the second biggest value in -4.9, 2/9, -2/5, 3/16, -1.18, -5? 3/16 What is the biggest value in 0.22, 14925, 7? 14925 What is the second biggest value in 48, 457, 2/23, -3? 48 What is the third smallest value in -0.5, 1, -43543? 1 What is the second smallest value in 7, -4, 2/5, 5/138, -1, 1/12, 2/11? -1 What is the second biggest value in 1952/5, 24.4, -10? 24.4 Which is the fifth biggest value? (a) 1 (b) -2/9 (c) 2/27 (d) 72 (e) -1 (f) 2/11 (g) 0.1 c What is the fourth smallest value in 2, -2, -1, 1/3, -1/2, -268370? -1/2 What is the second biggest value in 3, -118190, -85? -85 What is the second smallest value in -4, 3/55384, -1/7, -7? -4 Which is the third smallest value? (a) 58 (b) 1/3 (c) 3 (d) -7/3 (e) 5 (f) -9 b Which is the smallest value? (a) -382 (b) -182/431 (c) 2 (d) 4 a Which is the third biggest value? (a) -0.5 (b) -2 (c) -3 (d) 1080.5 (e) 0 a What is the third smallest value in -5, -36521, -0.09, -0.1? -0.1 What is the fourth biggest value in 2/21, 4, 0.136, -16.146? -16.146 Which is the fourth biggest value? (a) -1 (b) 3/5 (c) 16.63 (d) 0.1 (e) 0.4 (f) -0.91 (g) -2/37 d What is the second smallest value in -2/23, 15224, -44.1? -2/23 What is the third biggest value in -7, 6/17, 2/3, 11/94, -2? 11/94 Which is the biggest value? (a) -2217 (b) 5 (c) 18 (d) 1/655 c Which is the second smallest value? (a) 0 (b) -8361.123 (c) -1/10 (d) 1/7 c Which is the third smallest value? (a) 14.2213 (b) -2/9 (c) 5 (d) 2 c What is the smallest value in -0.3, 1/6, 2/3, 64/7, -0.05, 2.7, 3/5? -0.3 What is the third biggest value in -5, -16/15, 8, -1? -16/15 What is the third biggest value in -0.3, -1.2, 1/2, -8458, -1/38? -0.3 What is the second biggest value in -2/15, -785, 4742? -2/15 What is the fourth smallest value in 3.3, 2, 1/4, -4, 3, -0.1, 0.03? 1/4 Which is the third smallest value? (a) 6/252671 (b) -0.03 (c) 12 c What is the second biggest value in 2, -4/13, 2/13, -0.3, -1, -2043, 1? 1 What is the fourth biggest value in 0, 36.4, -0.1, -1/47, -0.23? -0.1 What is the second biggest value in 21/4, 0.039, 0.18, -1/12? 0.18 What is the smallest value in -0.3, -3576, -3, -984? -3576 Which is the fourth smallest value? (a) 0.3 (b) 0.1 (c) -65 (d) 4 (e) -5 (f) -72 b What is the third smallest value in -0.009, -8, -39/139, 2/9, 1? -0.009 What is the second smallest value in 0.4, 0.03, -2, -4, 0.1, -92, 0.6? -4 What is the sixth biggest value in -2, -1, -22, -0.4, -0.072, 0.28, 4? -2 What is the third biggest value in 524, -57, 163/2? -57 Which is the fourth biggest value? (a) -112 (b) 2 (c) -22 (d) 2/97 a Which is the third biggest value? (a) -2 (b) 33/2 (c) -2/313 (d) 1 (e) 0.2 (f) -3 (g) 5 d Which is the third smallest value? (a) -90 (b) -1/4 (c) -0.1014 c What is the second smallest value in -4/9, -1/3, -5, -1, 6478/19, 1/6, -11? -5 What is the fourth biggest value in -10394, 0.2, 8, -0.05, -1, -0.5, 5? -0.05 What is the fourth smallest value in -10, -4/3, 0.23, 2.48? 2.48 What is the third smallest value in 1/4, 14573116, -0.5? 14573116 Which is the second smallest value? (a) -9451 (b) 1 (c) -922 c Which is the second smallest value? (a) 0.3 (b) 0.4 (c) 21.3 (d) 44 (e) -4 (f) 1/5 f What is the biggest value in -283, -4, -0.07, 0.5, 0.071, -0.4, -0.09? 0.5 What is the smallest value in -3, 0.14, 0.4, 0.3, -0.21, -1/10, -11400? -11400 Which is the third smallest value? (a) 3 (b) 41 (c) 11.5 (d) 2 (e) -0.5 (f) 27 (g) 2/17 d What is the seventh biggest value in -11, 3/8, -4, -0.25, -3, 0.302, 1/9? -11 What is the second biggest value in -1/2, 0.1, -18101/2, -1/152, 14? 0.1 Which is the fourth smallest value? (a) 2/13 (b) -1/3 (c) 487/3058 (d) 2 d Which is the fourth smallest value? (a) -0.3 (b) -0.04 (c) 0.3 (d) 631501 (e) 1/3 e Which is the third biggest value? (a) 8 (b) 20/118531 (c) 5 b What is the fifth smallest value in 488, 1/22, 0.1, -7, -2/15, -4? 0.1 What is the fourth biggest value in -0.21, -1, 2, -150, 1/3, 5? -0.21 Which is the sixth biggest value? (a) -0.4 (b) 1 (c) -870/2789 (d) -4 (e) -1 (f) -2/3 d What is the biggest value in 2/171, 571, -0.11, -2? 571 What is the second biggest value in 1/3, -92, -0.3, -5, -1.2, 4? 1/3 What is the second biggest value in 15692, 0.08, 11, 5? 11 Which is the fourth biggest value? (a) 6/11 (b) -1 (c) 0 (d) 2/149 (e) 2.1 (f) -5 (g) -193 c Which is the third smallest value? (a) -1 (b) -4 (c) 1 (d) -1/57 (e) -1201 (f) 0.4 a Which is the third smallest value? (a) 4 (b) 0.05 (c) 0.042 (d) 233/4 (e) 3/2 (f) -1/69 b What is the second smallest value in 4, 2, 0.1, 0.352, 205? 0.352 What is the second biggest value in 0.1, 1/4, 0.12557, -5/3? 0.12557 Which is the second smallest value? (a) -28 (b) 1.37 (c) -11 (d) 1/3 c Which is the third biggest value? (a) 1/11 (b) -63/5 (c) -9 (d) -4 c Which is the biggest value? (a) 237.39 (b) -0.4 (c) 9 (d) 3 (e) -0.01 a Which is the third biggest value? (a) -4267 (b) -2 (c) -0.1 (d) 1/3 (e) -6/5 e What is the third biggest value in -0.04, -854, -0.818? -854 What is the third biggest value in 25, 0, -0.12, -0.05, -0.1, 456? 0 Which is the smallest value? (a) -5/6 (b) -16 (c) -4/9 (d) 0.5 (e) -1221 (f) -1 e What is the fourth smallest value in -3/5, 8, -6406, -242, -5, -0.2? -3/5 Which is the fourth smallest value? (a) -0.3 (b) -3 (c) 243702 (d) -24.7 c What is the second smallest value in 0.481, -4, 4, -775? -4 What is the third smallest value in 0.2, 161.3, 7/5? 161.3 What is the sixth smallest value in -1, -0.09, 2, -559, -4, 1, 1/42? 1 What is the fourth biggest value in 1/5, 5, -0.4, -0.3, 341, 181, 3/4? 3/4 Which is the biggest value? (a) 0.2 (b) -0.1 (c) -107/2 (d) 2 (e) 0.3 (f) -4 (g) -1 d Which is the seventh smallest value? (a) -0.4 (b) 2 (c) 1 (d) 378 (e) 5 (f) 348 (g) -0.03 d Which is the second smallest value? (a) -0.4 (b) -0.3 (c) 2/17 (d) 0.79 (e) -0.2 (f) -2 a Which is the second smallest value? (a) 5 (b) 2 (c) -0.28 (d) -14/3 (e) 6 c What is the third biggest value in 1/9, -0.1, 46, -1, -1.7, -0.3, -16/5? -0.1 What is the third smallest value in -2/3, -0.19, -11, 5, -15? -2/3 Which is the smallest value? (a) -44/9 (b) 0.107 (c) 2 (d) 0 a Which is the fourth smallest value? (a) 3/43 (b) -0.08 (c) 148/27 (d) -5 c Which is the third smallest value? (a) -1516 (b) 8 (c) 1/58 (d) 5 (e) 3/10 e What is the smallest value in 1.215, -0.05, -0.2, -8, -0.011? -8 Which is the third biggest value? (a) 2/3 (b) 13.4 (c) -1203.97 c Which is the biggest value? (a) 2/23 (b) 0.3 (c) -3 (d) 0.03 (e) 25 e What is the third biggest value in 2, 4, -0.142, -1, 195, -4, -0.1? 2 Which is the third smallest value? (a) -4 (b) 16/5 (c) -11.6 (d) -1.6 (e) 8 d What is the third biggest value in -0.266, -2, 1/8, 4/7, 5, -7? 1/8 What is the second biggest value in 141, 1/6, 5/3, 5, -4, -9, 2/11? 5 What is the second biggest value in -0.12, -1/8, -0.356178? -1/8 Which is the third smallest value? (a) -2/9 (b) -3 (c) -22726/13 (d) 2/23 a Which is the sixth biggest value? (a) -2 (b) 4 (c) 2/10181 (d) -1/7 (e) 182 (f) -3 f What is the sixth smallest value in -0.4, -2, 2/9, -5.1, -3.6, 0.4? 0.4 Which is the smallest value? (a) -4 (b) 63 (c) 0.08 (d) -2/47 (e) 82 a What is the second biggest value in 0.01, -1/5, 4, 2/37, -100.2, -1, 2/9? 2/9 Which is the fifth biggest value? (a) -7.5 (b) 0 (c) -6 (d) 210 (e) 4 (f) -1 (g) -1/4 f Which is the fifth smallest value? (a) 2 (b) 5 (c) 1/37 (d) 1 (e) -10 b Which is the sixth biggest value? (a) -21 (b) -4 (c) -25 (d) 4 (e) -2 (f) 2/3 c Which is the smallest value? (a) -5 (b) -26/35 (c) 24.9 (d) 0 (e) -2/3 (f) 5 a What is the second biggest value in -17, 1/4, 3, 3.4, -1, 2045? 3.4 Which is the sixth smallest value? (a) 1.1 (b) 9 (c) 0.9 (d) -0.4 (e) 2/13 (f) -5 b What is the third smallest value in -25987, -0.0119, 0.2, -4? -0.0119 What is the fifth biggest value in 5, -2416, -0.1, 10/3, 3/7, -2/5? -2/5