by d(9).
26
Let h(w) = -186*w - 2. Let y be h(-3). Let a(o) = -o**3 + 5*o**2 + 39*o - 19. What is the remainder when y/12 + (-4)/(-6) is divided by a(9)?
7
Suppose -6*i = -4 - 26. Let z(b) = 30 + b + i*b - b - 29 + 2*b**2. Calculate the remainder when z(6) is divided by 21.
19
Let o(y) = -2*y**3 - 16*y**2 - y + 7. Let d be o(-8). Let r = d + -9. Let f(j) = 4*j + 26. Calculate the remainder when 99 is divided by f(r).
49
Let y(t) = -t**2 + 11*t - 13. Let o be y(9). Suppose -233 = 5*r - 2*j, -160 = o*r - r + 5*j. Let l = r - -74. Calculate the remainder when l is divided by 19.
10
Let w = -12053 + 21294. Calculate the remainder when w is divided by 34.
27
Let g(x) be the third derivative of x**4/24 + 37*x**3/6 - x**2. Let a(j) = -17*j + 184. Let n be a(12). What is the remainder when g(n) is divided by 10?
7
Let a be (-15)/10*8/6. Let c = 96 - 16. Calculate the remainder when c is divided by (-10)/a*42/15.
10
Let u(s) = -s**3 - s**2 + s + 178. Suppose 8*z - 368872 + 368360 = 0. What is the remainder when u(0) is divided by z?
50
Let k = 34 - 34. Suppose 26 + k = 2*l + v, 65 = 5*l + 5*v. Let a = -34 - -136. What is the remainder when a is divided by l?
11
Let f(q) = 9*q**2 + 23*q - 88. What is the remainder when f(-8) is divided by 59?
9
Suppose 3*m = 5*q + 15, 29*q + 5 = 2*m + 24*q. Calculate the remainder when 3889 is divided by m.
9
Suppose 3*u - 5*b = 127, b + 222 = 5*u + 3*b. Calculate the remainder when (-1815)/(-363) - (683 - -3)/(-2) is divided by u.
40
Suppose 53*n = 51*n - 5*p + 725, n - 380 = p. What is the remainder when n is divided by 35?
25
Suppose 4*s = 2*s + 198. What is the remainder when s is divided by 1/(1705/242 + 1*(-11 + 4))?
11
Let j = 66 - 45. Calculate the remainder when j is divided by (6/1 - 9)*511/(-219).
0
Suppose -5*d - 376 = 4*y, -33*y - 6*d = -28*y + 469. Let u be 2 + 0 - 114/2. Let h = u - y. Calculate the remainder when h is divided by 7.
6
Let a = -9295 - -9393. Calculate the remainder when 4797 is divided by a.
93
Let g = 7132 + -6941. Suppose -t + 62 + 2 = 0. Calculate the remainder when g is divided by t.
63
Suppose -5*v - 5*z = -5195, 0*v + 3*v - 3099 = 3*z. Let q = 127 + -71. What is the remainder when q is divided by (-9)/15 - v/(-35)?
27
Suppose -2*q + 22 = 2. Let p(y) = y + 10. Let k be p(-8). Suppose 2*w = -2*l + 5*l + 24, -k*w = l - 40. Calculate the remainder when w is divided by q.
8
Suppose 11*i = -8*i + 2*i + 105179. Calculate the remainder when i is divided by 151.
147
Let b = -748 + 1705. Suppose 24*s = 13*s + b. Calculate the remainder when s is divided by 30.
27
Suppose -17754 = -7*d + 8580. Suppose 23*i - 11145 = -d. Calculate the remainder when i is divided by 12.
9
Let s(x) = 3*x**2 + 2*x + 4. Let v be 1414/112*-2*2*-2. Suppose 107*h - 660 = v*h. Calculate the remainder when h is divided by s(3).
36
Suppose 3*u + 2 = 14. Let p be 108 - 4/(-8)*4. Let f = 129 - p. Calculate the remainder when f is divided by u.
3
Let o(a) = 6*a - 120. Let z be o(18). Let c(y) = y**2 + 6 + 4 + 11*y - 5. Calculate the remainder when 63 is divided by c(z).
12
Suppose 4*h - 647 + 539 = -2*i, -5*i + 218 = -3*h. Calculate the remainder when 971 is divided by i.
5
Let q = 49 - 41. Suppose -44 = q*j - 12*j. What is the remainder when 31 is divided by j?
9
Let p = 32 + -32. Suppose -4*x + x - 2*h - 215 = p, -h = -5*x - 341. Let o = -36 - x. What is the remainder when o is divided by 9?
6
Suppose 3*z = z. Suppose -m - q - 5 = 3*m, z = -5*m + 5*q + 25. Suppose -5*n + 11*n - 486 = m. What is the remainder when n is divided by 28?
25
Let s(v) = v**3 - 23*v**2 - 9*v + 15. Let k be s(23). Let r = k + 256. What is the remainder when 893 is divided by r?
61
Suppose 5*p - 600 = -25*p. Suppose -2*a + 4*d + 9 = -33, -4*d + 35 = 5*a. What is the remainder when p is divided by a?
9
Let j(i) = i - 2. Let d be j(5). Suppose d*t + 5*b - 153 = 0, 0 = -2*t - 4*b + b + 102. Calculate the remainder when t is divided by 16.
3
Suppose -3*l + a - 533 = 0, 0*l + 5*a = 3*l + 553. Calculate the remainder when 125 is divided by (l/6)/(34/(-51)).
37
Let f(d) be the first derivative of d**3 - 9*d**2/2 + 2*d + 47. What is the remainder when 3*26/(-3)*-1 is divided by f(4)?
12
Let w be ((-15)/10)/(6/(-16)). What is the remainder when 4 is divided by ((-6 - -5) + w)/1?
1
Suppose 0*r - r + 3*o + 24 = 0, -3*o = 4*r - 36. Suppose -100*x + 97*x = 4*d - 331, -3*x + 311 = -d. Calculate the remainder when x is divided by r.
9
Suppose t - 3*q = -25, -3*t + 0*q - 4*q - 49 = 0. Let r(n) = 2*n**3 + 38*n**2 - 17*n + 82. Calculate the remainder when r(t) is divided by 11.
9
Let i = 1704 - 1672. What is the remainder when 125 is divided by i?
29
Suppose -i + 3*i = 5*b - 8, 5*b = -5*i + 50. Let t be (((-5772)/8)/13)/(i/(-8)). Suppose 5*z - 21 = t. Calculate the remainder when z is divided by 2.
1
Let a(j) = 43*j - 1. Let d be a(-3). Let x be (10/30)/(3/(-693)). Let m = x - d. What is the remainder when m is divided by 23?
7
Let w be (0 - -4)*549/(-12). Let d be w/(-5) - (-51)/(-85). Suppose s + d = 3*s + 4*y, -2*y - 12 = -2*s. Calculate the remainder when 29 is divided by s.
9
Let c(q) = q**2 + 7*q + 10. Let f be c(-5). Suppose -o = -2*y - y + 325, 2*o - 4 = f. Let t = -69 + y. What is the remainder when t is divided by 7?
5
Suppose -21*y = 4*h - 18*y + 955, -h - 243 = 5*y. Let w = -57 - h. What is the remainder when w is divided by 47?
40
Suppose 0 = 23*q + 204 - 687. Let z(s) = 98*s**2 + 6*s + 2. Calculate the remainder when z(-1) is divided by q.
10
Let h = -322 + 668. Let f = h - 151. Calculate the remainder when f is divided by 49.
48
Suppose 4*i + 25*x - 27*x = 142, -x - 37 = -i. Let k = -92 - -110. What is the remainder when i is divided by k?
16
Calculate the remainder when ((-38)/57)/((5 + -2)/(-2277)) is divided by 143.
77
Suppose -9161 = -172*r + 146*r + 1629. What is the remainder when r is divided by 125?
40
Let f(z) = -2*z. Let w be f(-3). Suppose 2*y - 6 = -0*v + 2*v, -2*v + w = 0. What is the remainder when y is divided by (-14)/21 + 13/(234/66)?
0
Let l = 2582 + -2530. What is the remainder when 467 is divided by l?
51
What is the remainder when 20326/7 + (-24)/(-84) is divided by 182?
174
Calculate the remainder when 5288 is divided by -4 + (147 + 6*(-2 + 1) - -6).
140
Let b(c) = 23*c**3 + 2*c**2 + 53*c - 192. Calculate the remainder when b(6) is divided by 19.
17
Let j = 310 - 304. Calculate the remainder when j/((-216)/3663)*-4 is divided by 24.
23
Suppose 480 + 115 = 32*i - 1933. What is the remainder when 172 is divided by i?
14
Suppose 5*x - 18 = -5*s + 32, -2*s = -2*x. Suppose -185*f + 418 = -147*f. Calculate the remainder when f is divided by s.
1
Suppose -44 = 10*b - 4. Calculate the remainder when 551 is divided by ((-1)/b)/((-5)/(-460)).
22
Suppose 3*l - 5*r = -2*l + 5, 5*l - 29 = -3*r. Suppose l*q - 349 = -5*o, 5*q = 2*o - 195 + 29. Let z = -26 + o. What is the remainder when z is divided by 15?
2
Let i(y) = 9*y - 40. Let k be i(5). Suppose 0 = 4*w - 20, 689 = t + 2*t - k*w. What is the remainder when t is divided by 48?
46
Suppose 9*c = 10*c + 60. Let a = 63 + c. Suppose a*t - 6 = 2*t. Calculate the remainder when 13 is divided by t.
1
Let m = 39 + 25. Suppose 0 = 6*h - 90 - 1260. What is the remainder when m is divided by 50/h - 97/(-9) - 0?
9
Suppose -w - 27 = -3*x + 149, -2*w + 8 = 0. Let m be (1/2)/(16/1152). Suppose 7*y - m = 3*y. What is the remainder when x is divided by y?
6
Suppose -152 = -5*a - 37. Let w(c) = -4*c**3 - 8*c**2 - 8*c - 6. Calculate the remainder when w(-6) is divided by a.
20
Let r = -37 - -107. Let u(h) = 6*h**2 - 25*h + 1. What is the remainder when r is divided by u(5)?
18
What is the remainder when (116/(-16) - -2)/(21/(-3612)) is divided by 13?
6
Let c(z) = z**3 + 5*z**2 - 76*z + 41. What is the remainder when 984 is divided by c(9)?
2
Let l(h) = 62*h + 964. Calculate the remainder when 4757 is divided by l(-15).
31
Suppose -p + 9 + 3 = 0. Suppose -5*c + p = -3. Suppose 0 = -3*k - c*k + 504. What is the remainder when k is divided by 22?
18
Let b(d) = -113*d - 152. Calculate the remainder when 3550 is divided by b(-2).
72
Let g(p) = 2*p**3 + 161*p**2 + 81*p + 297. What is the remainder when 234 is divided by g(-80)?
17
Suppose -16*t = -2492 - 3108. Calculate the remainder when t is divided by 342.
8