ppose 8*f = -57766 + 57982. What is the remainder when 1287 is divided by f?
18
Let z(v) = -v**2 + 22*v - 11. Let b be (-5)/(-1) + 44 + -44. What is the remainder when 138 is divided by z(b)?
64
Suppose 2*w - 3*u + 2642 = 7*w, 5*w - 4*u - 2684 = 0. Calculate the remainder when w is divided by 67.
63
Suppose -411 = 11*v - 46*v - 26. What is the remainder when 2089 is divided by v?
10
Calculate the remainder when (60/35)/(40/2884)*25/5 is divided by 92.
66
Let x be -38 - (2 - (1 + 4)). Let g = -30 - x. Suppose -2*q - q = 5*n - 362, 0 = -g*q + 4*n + 665. What is the remainder when q is divided by 33?
30
Calculate the remainder when 4/(-48) - ((-384566)/168 + -17) is divided by 77.
73
Suppose -4*c = 182 + 18 - 464. What is the remainder when 17421 is divided by c?
63
Suppose 0 = -2*d - 2*x + 16, -2*d + 4*x - 9*x = -4. Let v(f) = f**2 - 5*f + 30. Calculate the remainder when v(d) is divided by 30.
24
Let y = -83 - -59. Let c = y + 34. Suppose 0 = 16*a - 11*a - c. What is the remainder when 6 is divided by a?
0
Let r(w) = 43*w**3 - 4*w**2 + 3*w. Suppose -n + 14 = 5*p, 0 = 5*n + 29*p - 32*p - 126. What is the remainder when r(2) is divided by n?
22
Let x(f) = -5*f + 147. Suppose 0 = -8*i + i + 196. Let d = -65 + 105. Calculate the remainder when d is divided by x(i).
5
Suppose -3*t = 4*n - 6467, -5*t - 4*n + 9622 = -1159. Calculate the remainder when t is divided by 36.
33
Suppose 5*x - 236 = -2*o, -2*x - 3*o - 129 = -5*x. Let j(m) = 9*m - 21. Calculate the remainder when x is divided by j(3).
4
Let u be 2*2 - -1*(-77)/(-7). Suppose u = 6*a + 3. What is the remainder when 20 is divided by a?
0
Let f = 286 + -235. Suppose -6 - f = -3*q. What is the remainder when 4/(-10) - (-182)/5 is divided by q?
17
Let o be 0/(-1) - 34/17 - -45. Suppose 2958 = -14*m + o*m. Calculate the remainder when m is divided by (0 - -1) + (0 - -14).
12
Let z = -40 - -68. Suppose 4*x + 832 = 4*b, -5*b + 10*x - 8*x = -1049. Let y = b - 201. Calculate the remainder when z is divided by y.
8
Let u = 613 + -528. Let w = u - 58. Suppose -c + 9 = 3. What is the remainder when w is divided by c?
3
Suppose 31*f - 36*f - 492 = -2*d, 24 = 3*f. What is the remainder when 284 is divided by d?
18
Let k = -41 + 89. Let f = 46 - k. Let o(i) = -2*i**3 - i**2 - 5*i - 6. What is the remainder when o(f) is divided by 14?
2
Suppose 0 = -9*j + 49 + 104. Calculate the remainder when (2/(-8) + -1)/(39/(-1248)) is divided by j.
6
Let q(c) = c**3 - 8*c**2 - 204*c + 83. What is the remainder when 279 is divided by q(-11)?
27
Suppose -30 - 20 = -10*b. Suppose 2*c = 3*z - 2*c - 3, b*z + 21 = -2*c. What is the remainder when 54 is divided by z*6/9*-14?
26
Suppose -19*j + 1333 = -776. Calculate the remainder when j is divided by 60.
51
Let a = -32 - -46. Suppose -4*t - 30 = -2*i, -3*i = 2*t - 5*i + a. Let q = -2 - t. What is the remainder when 23 is divided by q?
5
Let z(t) = -t - 1. Let a be z(0). Calculate the remainder when (-45)/30*-20*2 + (0 - -3) is divided by (0 + -1 - 12)*a.
11
Let b(c) = 5*c**3 + 2*c - 2. Let s be b(1). Suppose 4*y + 3*j - 174 = 0, -14 = -s*j - 24. What is the remainder when y is divided by (-138)/(-9) + 2/3?
13
Let p be (64/144)/((-4)/(-18)). Suppose 2*g + p*a = -g + 199, -137 = -2*g + 3*a. Calculate the remainder when g is divided by 19.
10
Suppose 0 = -12*y + 12522 - 12330. Calculate the remainder when 4315 is divided by y.
11
Let w = 2704 + -2699. What is the remainder when w is divided by 2?
1
Let w(l) = 18*l + 628. What is the remainder when 132 is divided by w(-33)?
30
Calculate the remainder when 150/(-175) - 57576/(-42) is divided by 81.
74
Let x = -1006 + 1707. Calculate the remainder when x is divided by 48.
29
Let g = 12422 + -12340. What is the remainder when 503 is divided by g?
11
What is the remainder when (680/28)/((-528)/77 + 7) is divided by 112?
58
Let q(x) = x**3 + 10*x**2 + 14*x - 44. Let g be q(-7). Suppose 3*b - 4 = g*d, -5*d - 30 + 20 = -5*b. What is the remainder when 21/4 + 1/(-4) is divided by d?
0
Let c(n) = -9*n**3 - 2*n**2 + 2*n + 2. Let j be c(2). Let i = j - -173. Let k(l) = 4*l**2 - 388*l - 1183. What is the remainder when i is divided by k(-3)?
14
Let x = 67 - 29. Suppose -2*u - x = -94. Calculate the remainder when u is divided by (-10)/(-8)*(1200 - 1188).
13
Let u be 43/4 + (19/(-4) - -5). Suppose 12*t = u*t + 35. What is the remainder when 66 is divided by t?
31
Suppose -n + 2911 + 1863 = 5*q, 3*q + 14*n - 2918 = 0. Calculate the remainder when q is divided by 122.
100
Let x = -49 - -53. Calculate the remainder when 101 is divided by (-142)/(-46) - x*5/230.
2
Suppose -2*c + 26 = -5*f + 6*f, -f = 0. Suppose 1854 = c*y - 187. Suppose 3*w - 104 = -2*u, 152 = 5*w - 0*u - 2*u. What is the remainder when y is divided by w?
29
Let i(x) = -89*x**2 + 29*x - 2. Let o be i(2). Let v = o + 337. Suppose 2*d - 222 = -4*p, -439 = d - 5*d - 3*p. Calculate the remainder when d is divided by v.
35
Suppose -1082 = -3*j - 4*a + 157, 4*a - 1648 = -4*j. Calculate the remainder when j is divided by 42.
31
Suppose 5*l - 5*p + 10 = 0, 0*l = 2*l + 5*p - 24. Suppose -l*k - 6 = -22. Calculate the remainder when 77 is divided by ((-247)/(-76))/(1/k).
25
Suppose -2*g - 3*g = -730. Let l be 7/(-21) - (4385/(-15) - -5). Let s = l + -238. Calculate the remainder when g is divided by s.
48
Let y(q) = -2*q**3 - 59*q**2 - 196*q - 210. Calculate the remainder when 1161 is divided by y(-26).
83
Let k(v) = v**3 + 8*v**2 + 7. Suppose 0 = 5*n + 49*u - 44*u - 1140, -4*u + 3 = 15. What is the remainder when n is divided by k(-6)?
73
Let g(y) = 2*y**2 - 3*y + 2. Suppose -7*h = 4*h - 55. Suppose 0*v = h*v - 3*o - 51, -51 = -3*v - 5*o. What is the remainder when v is divided by g(2)?
0
Let u(y) = -y**3 - 5*y**2 + 3*y + 1. Let n(v) = -v**3 - 77*v**2 + 78*v + 5. Calculate the remainder when u(-6) is divided by n(-78).
4
Suppose 132 = 7*v + 37*v. Suppose 3*g + v*q = g + 56, -83 = -3*g - 4*q. Calculate the remainder when 120 is divided by g.
20
Let f(a) = a**2 - 3*a - 2. Suppose 0 = -376*w + 374*w + 54. Suppose 397*z - 400*z = -w. Calculate the remainder when f(-4) is divided by z.
8
Let c = 8278 - 8130. Calculate the remainder when 215 is divided by c.
67
Suppose v - 4*l - 26 = 0, 5*v - 4*l = 2*v + 54. What is the remainder when 461 is divided by v?
13
Suppose 109*j - 70 = 116*j. What is the remainder when 12 is divided by (j/(-5))/((-12)/(-42))?
5
Let l = -627 + 1355. Calculate the remainder when l is divided by 21.
14
Let f(d) = -d**3 - 6*d**2 + 27*d + 70. Suppose -3*l + 2*j = 17, 70 = -5*l - 11*j + 6*j. What is the remainder when f(l) is divided by 19?
13
Let u(v) = v + 214. Suppose 0 = -509*a + 265*a + 8383 + 4793. What is the remainder when u(0) is divided by a?
52
Suppose l + 27 = 3*a, -2*a + 6 = -5*l + 1. Suppose -481 = -2*i + 31. Let j = -229 + i. Calculate the remainder when j is divided by a.
7
What is the remainder when (86/(-4))/(2/(-4)) is divided by (-5264)/(-238) - -14*(-3)/357?
21
Suppose -25860 = -726*z - 6984. What is the remainder when 521 is divided by z?
1
Let m(c) = 2*c**2 - 58*c - 719. What is the remainder when m(-16) is divided by 145?
141
Let q be (-28)/(-112) - (-2)/(-8)*1. Suppose q = u + 57 - 91. What is the remainder when 236 is divided by u?
32
Suppose 61*k - 109 = 135. Suppose 0 = -k*x - 42*x + 966. Suppose -5*y - 149 = -4*c, -98 = -3*c - 4*y + 5*y. Calculate the remainder when c is divided by x.
10
Suppose y - 43 - 104 = 0. Let c(z) = -z**3 - z**2 - 2*z - 4. Let j be c(-3). Let w = j + 10. What is the remainder when y is divided by w?
27
Let o(c) = -3*c + 26. Let g be o(7). Suppose g*y + 9 = 114. Suppose -3*w + y = w + p, -4*p + 4 = 0. What is the remainder when 7 is divided by w?
2
Suppose g - 351 = -5*n, -n + 3*g - 143 = -3*n. Calculate the remainder when n is divided by (-1)/(2*(-3)/72).
10
Suppose 16*j + 10575 = 10751. Calculate the remainder when 11019 is divided by j.
8
Suppose h = -i + 5*h, 3*h = -3*i. Suppose i*s - 618 = -3*s. Let b(p) = 15*p**2 + 5*p - 7. What is the remainder when s is divided by b(1)?
11
Let g = -1552 - -2350. What is the remainder when g is divided by 176?
94
Suppose 5*b + 68 = -n, 3*n - 5*b = -138 + 14. Let d = 75 + n. What is the remainder when d is divided by 2/3*(-45)/(-2)?
12
Let m(h) = -15*h + 3. Let u be m(4). Let z be