ded by 36.
35
Let p(o) be the second derivative of o**5/20 + 4*o**4/3 + 5*o**3 + 17*o**2 - 31*o. Calculate the remainder when 89 is divided by p(-14).
5
What is the remainder when 2679 is divided by (-4 + (-35)/(-14))/((-6)/40)?
9
Let p(x) = -24*x + 1677. What is the remainder when 2329 is divided by p(69)?
19
Let i(k) = 10*k**2 - 44*k - 94. What is the remainder when 9381 is divided by i(-2)?
31
Let c(d) = -d**2 - 6*d + 490. Suppose -9*u = -8*u - 38. What is the remainder when c(0) is divided by u?
34
Suppose -2*d = 4*n - 3*n - 164, 0 = 4*n + 3*d - 636. Suppose 4*u - 114 = -3*s, 5*u - 6*s + 3*s = n. Calculate the remainder when u is divided by 14.
2
Suppose 0 = 5*i + 3*y + 213 - 1353, -2*i - y + 455 = 0. Calculate the remainder when i is divided by 59.
48
Suppose -12*a + 5619 + 10713 = 0. Calculate the remainder when a is divided by 3.
2
Let z(a) = -109*a + 633. Calculate the remainder when z(3) is divided by 78.
72
Let c(v) = -5*v + 232. Let r be c(18). Let x = r - 127. What is the remainder when (-346)/(-6) - 2/(-6) is divided by x?
13
Suppose 3*r + 21*r = 120. Suppose -2*o = -r*c + 891, -2*c + 2*o = 241 - 601. What is the remainder when c is divided by 45?
42
Let q(v) be the first derivative of 5*v**3/3 + 3*v**2/2 - v - 2. What is the remainder when 103 is divided by q(3)?
50
Suppose -q = 2*q - 6, 0 = -2*f - 2*q + 222. Suppose -15*y + f + 536 = 0. What is the remainder when y is divided by 33?
10
Suppose 0 = 332*g - 334*g + 4. Suppose 0 = -14*z + 15*z + 4*t + 10, g = -z - 2*t. What is the remainder when (0 - (42 - 2))*-1 is divided by z?
4
Suppose 207 = 2*m + 89. Calculate the remainder when m is divided by (-15)/6 - 108/(-8).
4
Suppose 0 = -29*h + 4327 + 4692. Calculate the remainder when h is divided by 12.
11
Let t = -2709 - -2725. What is the remainder when 202 is divided by t?
10
Let g be (-224)/(-140)*(-5)/(-2). Suppose m - 35 = -z - 3*m, g*m + 60 = 4*z. Calculate the remainder when 72 is divided by z.
15
Let f(x) = -64*x - 121. Let s be f(-5). Let z = 217 - s. Let a = -10 - -20. Calculate the remainder when z is divided by a.
8
Suppose 5*d + 512 - 37 = 30*d. Calculate the remainder when d is divided by 10.
9
Let d(z) = z**3 - 3*z**2. Let q be d(4). Let o(u) = -3*u**2 + 26*u + 19. Let r be o(11). What is the remainder when (-4)/q*r + (-1)/2 is divided by 4?
2
Let u(p) = 10*p**3 - p**2 - 37*p + 124. What is the remainder when u(12) is divided by 189?
184
Suppose 127*t - 126*t - 22053 = -3*b, 0 = -2*t - 6. Suppose -b = -34*q - 586. What is the remainder when q is divided by 45?
19
Let q = -373 + 254. Let s = 71 + q. Let m = -21 - s. Calculate the remainder when 133 is divided by m.
25
Let m be (((-9400)/30)/(-10))/((-4)/42). Let g = -227 - m. What is the remainder when g is divided by 31?
9
Let p(i) be the third derivative of i**5/60 + i**4/4 - 3*i**3/2 - 2*i**2. Let x = 1533 - 1517. Calculate the remainder when p(6) is divided by x.
15
Let p(n) = n**2 + 4*n + 4. Let i be p(-9). Suppose 2*b = -k + 39, 0 = -3*b + 5*b - k - i. Calculate the remainder when 63 is divided by b.
19
Let v be (2/(-4))/((-118)/1652)*4. Let m be 2/(-9) - (-61)/(-9). Calculate the remainder when 82 is divided by m + 3 + v + 4.
26
Let s(m) = 429*m - 4080. Calculate the remainder when s(10) is divided by 104.
2
Suppose 5*n = -4*x + 131, 0 = -3*x - 7 + 19. Let g(b) = 12*b - 6. Let y be g(-6). Calculate the remainder when n is divided by (y/(-9))/((-10)/(-15)).
10
Let s = -2 + 14. Suppose 5*j - s = 3*j. Calculate the remainder when j is divided by (-8 + 1 - -6) + 5.
2
Let j = -95 + 298. Suppose 44*m - 37*m - j = 0. Calculate the remainder when 173 is divided by m.
28
Let x(s) = 5*s - 6. Let p(n) = -9*n + 12. Let c(g) = -6*p(g) - 11*x(g). Let d be c(-5). Calculate the remainder when 45 is divided by 27 + 2 + 5/d.
21
Suppose 2*t - 7*t - 1740 = -3*o, -3*o - 2*t = -1740. What is the remainder when o is divided by 38?
10
Suppose 3*b = -0*b + 138. Calculate the remainder when 1 + -3*(-164)/6 - -6 is divided by b.
43
What is the remainder when 2568 is divided by (-7163)/(-266) + -14 - 3/(-42)?
7
Let l = -322 - -387. Let z = -15 + 18. Suppose -5*y + 13 = z*i, -i - 4*i = -5*y - 75. What is the remainder when l is divided by i?
10
Suppose 8 = 2*n, 21 + 25 = 2*i - 4*n. Let z be (-1 + -113)/(28/42). What is the remainder when ((-40)/(-15))/((-3)/z) is divided by i?
28
Let b(g) be the second derivative of g**5/20 + 2*g**4/3 - 10*g**3/3 + 15*g**2 + 3*g - 9. What is the remainder when 177 is divided by b(-10)?
27
Suppose -10*w + 7*w - o + 53 = 0, -5 = 5*o. Let t = 57 - w. Let x(r) = -2*r**2 + 16*r + 10. Calculate the remainder when t is divided by x(8).
9
Let q(a) = a**2 - 2 + 4*a + 12 + 2. Let f = -3052 + 3047. What is the remainder when q(f) is divided by 4?
1
Suppose h - 2*h = -11. Suppose -4*q = -71 + 43. Calculate the remainder when (q + 2)/(6/28) is divided by h.
9
Suppose -2371 = -146*z + 4345. What is the remainder when z is divided by 23?
0
Let r(z) = -z**2 + 3. Let o be r(-2). Let j be 2/(-2)*o/(-6)*0. Suppose -2*m + 7*m + 2*c - 209 = j, -m + 46 = -c. What is the remainder when m is divided by 9?
7
Let f(u) = 15*u**2 + 23 - 4*u**2 + 16*u - 12*u**2. Calculate the remainder when f(16) is divided by (1 + (-4)/6)*39.
10
Suppose 0 = -3*d + 3, 7*r - 10*r + 5*d + 10 = 0. Calculate the remainder when 37 is divided by r.
2
Suppose -3*l = -4*b - 15, l - 20 = -3*l + 5*b. Let h = 531 + -514. What is the remainder when h is divided by l?
2
Suppose 2*r + 82 = 4*d, 16 = 2*d - 4*r - 34. Calculate the remainder when ((-17)/(-34))/((-1)/(-394)) is divided by d.
7
Let i(l) = 5*l**2 - 34*l - 128. What is the remainder when i(-6) is divided by 17?
1
Let j = 3389 + -3047. Calculate the remainder when j is divided by 59.
47
Let m = -4 - -41. Let c be (-2 + 1 - 0)*455/13. Let v = c + m. What is the remainder when v is divided by 1?
0
Let z = 5282 - 4034. What is the remainder when z is divided by 5?
3
Let w = 3590 - 3258. What is the remainder when w is divided by 110?
2
Let w be 1/(-3 - 266/(-91)). Let u(v) = -v**3 - 12*v**2 + 14*v + 17. What is the remainder when u(w) is divided by 2/(2/6*2)?
1
Let h(i) = -2*i**2 + 62*i + 305. Calculate the remainder when 1744 is divided by h(35).
19
Suppose -3*s - 13 + 37 = 0. Suppose -667*f - 615 = -670*f. What is the remainder when f is divided by s?
5
Suppose 0 = 2*i - 3 - 7. Suppose i*f - 2*f = 105. Suppose -25*g + 34 = 9*g - 105 - 303. Calculate the remainder when f is divided by g.
9
Let q(f) be the first derivative of f**4/2 - 13*f**3/3 + 7*f**2/2 - 17*f + 40. What is the remainder when q(7) is divided by 1 + 39*5/15?
11
Suppose -59*w + 541 = -38*w - 173. Calculate the remainder when 74 is divided by w.
6
Suppose 2*z - 255 = 4*r - 3*z, r + 3*z = -68. Let c = r - -71. Suppose -c*y + 34 = -32. What is the remainder when 32 is divided by y?
10
Let x be -65 - (-8)/(32/12). Let j = x + 62. Suppose d - b - 3 = -j, 0 = -4*d + 3*b + 13. What is the remainder when 11 is divided by d?
3
Suppose -r - 25 = -61. Let x = -20 + r. Calculate the remainder when 59 is divided by x + 1*1/(-1)*1.
14
Suppose 4*p - 15 = -p. Let m(w) = -12*w - 162. Let g be m(-20). Suppose g = 6*h - 0*h. Calculate the remainder when h is divided by p.
1
Suppose -409 = 9*z - 8896. Calculate the remainder when z is divided by 119.
110
Suppose 3*u + 1155 = 1149. Let j(d) = 48*d**2 + 7*d - 5. Calculate the remainder when j(u) is divided by 30.
23
Let b(f) = -f**3 - 10090*f**2 - 9 + 10097*f**2 - 4*f + 14 + 9. Suppose 12 = 2*i - 0. What is the remainder when 154 is divided by b(i)?
24
What is the remainder when 349 is divided by (3024/24)/(3/8)?
13
Calculate the remainder when 2/14*(-23 - -646) is divided by 37.
15
Suppose 99 = -i + 4*i. Let n = -55 - -13. Let z = n + 53. What is the remainder when i is divided by z?
0
Suppose -o = 3*n - 27, -n - n + 116 = 3*o. Calculate the remainder when 345 - (-1*o)/6 is divided by 89.
85
What is the remainder when ((18/(-7))/(-2) - 1)/((-2352)/(-609168)) is divided by 3?
2
Calculate the remainder when 454 is divided by 2/(-9) - (-145306)/1746.
39
Suppose 3*m - 2589 = -3*j, 4*j + m - 2495 = 966. What is the remainder when j is divided by 79?
76
Let z = 99 - 96. Suppose -27 = -z*f - 5*d + 33, 97 = 4*f + d. Let i(q) = q + 8. Calculate the remainder when f is