uppose -3*z = -44 - 22. Let c(r) = -2*r**3 + 15*r**2 + 12*r - 6. Let f be c(8). Let x = 32 - f. What is the remainder when z is divided by x?
4
Suppose -361*v = -358*v - 63. Calculate the remainder when 837 is divided by v.
18
Suppose 11*v - 16*v = -3*b - 189, -b + 197 = 5*v. Calculate the remainder when 130 is divided by v.
13
Suppose -292*b + 362894 = 237*b. Calculate the remainder when b is divided by 135.
11
Let h(d) be the second derivative of 2*d**3/3 + 5*d**2/2 - 22*d + 2. What is the remainder when 38 is divided by h(4)?
17
Suppose 0 = 58*i - 37*i - 52584. Calculate the remainder when i is divided by 38.
34
Let z = -688 - -811. Calculate the remainder when 381 is divided by z.
12
Let o = -695 - -699. Suppose -2*m = 4*b - 56, 231*m - 233*m = -o*b + 64. Calculate the remainder when (11 - 1)*(-44)/(-10) is divided by b.
14
Let c = -4762 + 4802. Calculate the remainder when 983 is divided by c.
23
Let l(x) = 6*x - 89. Calculate the remainder when (46/8 - -2)/((-2)/(-8)) is divided by l(18).
12
Suppose 2*k = 5*t - t, 3*t = 2*k. Suppose k = 8*g - g - 854. Let w = -318 + 359. What is the remainder when g is divided by w?
40
Suppose 4*g - 180 = s + 3*s, -5*g - 2*s + 225 = 0. Calculate the remainder when g is divided by (32/(-4))/(48/(-36)).
3
Suppose -12*x - 1140 = -16*x - 4*p, 0 = -x + p + 277. What is the remainder when x is divided by 92?
5
Calculate the remainder when (0 - 2)*1383/(-6) is divided by 8*((-735)/(-20))/21.
13
Suppose -340*y + 42421 = 587*y - 208*y. Calculate the remainder when (-72 - 0)*9/(-4) is divided by y.
44
Suppose -2*z + 1071 = k, -580*k + 2674 = 5*z - 581*k. Calculate the remainder when z is divided by 187.
161
Let f(m) be the second derivative of -8*m**3/3 - 51*m**2/2 - 3*m + 2. Let w = -80 - -73. What is the remainder when f(w) is divided by 16?
13
Let f = 74 + -16. Suppose 4*m = 5*l - 197 - f, -l - m = -51. What is the remainder when 148 is divided by l?
46
Suppose 5*w + 3*c + 34 - 597 = 0, 3*w + 2*c - 338 = 0. What is the remainder when w is divided by (-21)/10 + 2 - 2292/(-120)?
17
Let k be (0 - 2 - -2)/(-2 - 0). Let b be ((-12)/(-3) - 8) + 3 + k. Calculate the remainder when -1*(0/(-4 - -2) + b) is divided by 1.
0
Suppose -25*d + 4*d + 56635 = -16*d. Calculate the remainder when d is divided by 96.
95
Let l = 75373 + -33268. Calculate the remainder when l is divided by 29.
26
Let z = -27 - -27. Suppose z = q - 4 - 2. Suppose 11 = -s + 4*s + 4*a, 0 = -2*s - 3*a + q. Calculate the remainder when 25 is divided by s.
7
What is the remainder when 745 is divided by (-3466)/(-14) + (-57)/931*-7?
1
Let n(c) = -2*c - 3*c - c + 5*c**2 + 1. Let m(v) = -3*v**3 + 9*v**2 + 23*v - 42. Let t be m(4). Calculate the remainder when n(t) is divided by 3.
0
Suppose -947*o - 35 = -942*o, 0 = -5*l + 5*o + 925. What is the remainder when 1116 is divided by l?
48
Suppose -104 - 511 = -15*b. Let n = b + -32. Suppose 6*r - r - 170 = 0. What is the remainder when r is divided by n?
7
Let n = 176 - 188. Let a(p) = p**2 + 10*p - 19. What is the remainder when a(n) is divided by 1?
0
Let r = -205 + 217. Calculate the remainder when 1612 is divided by r.
4
Let u = -443 + 275. What is the remainder when u*(0 + 7/(-14)) is divided by 24?
12
Suppose -109 = -j - x + 8, 2*x - 4 = 0. Calculate the remainder when j is divided by (-319)/(410/(-20) + 15) + 0/(-1).
57
Let z be (1/1 - 1)/(59 - 62). Suppose 13*n - 406 - 348 = z. Suppose -d - q + 24 = 0, -3*q + 32 = d - 0*q. What is the remainder when n is divided by d?
18
Let y = 13390 + -12884. What is the remainder when y is divided by 173?
160
Let n = -1572 + 2773. Calculate the remainder when n is divided by 71.
65
Let i(k) be the first derivative of k**4/2 + 5*k**3/3 - 3*k**2/2 - 10*k + 19. What is the remainder when i(3) is divided by 17?
12
Let b be ((-157)/(-2))/(6/(5 - -31)). Suppose -d - 4*c = 2*d - 330, 4*d - b = 5*c. What is the remainder when 224 is divided by d?
110
Let w = 399 + -394. Suppose 8*l = 5*a + 9*l - 554, w*a - 550 = -5*l. Calculate the remainder when a is divided by 28.
27
Suppose -68*s + 94*s - 2106 = 0. Let p = 202 - s. What is the remainder when p is divided by 62?
59
Suppose 18 + 54 = 4*x. Let p = 493 + -445. Calculate the remainder when p is divided by x.
12
Suppose -16*c + 608 = -0. Calculate the remainder when 4785 is divided by c.
35
Let r(i) = -9*i - 9. Calculate the remainder when 76 - (13/(130/20) + (-7)/1) is divided by r(-6).
36
Let l(q) = -42*q**2 + 282*q - 9. What is the remainder when l(6) is divided by 44?
39
Suppose 4*d + 4*q + 20 = 0, 0 = -7*d + 8*d - 5*q - 13. What is the remainder when ((-9933)/42)/(1/d) is divided by 79?
78
Suppose 0 = 4*z + 256 - 0. Let o = z + 106. Calculate the remainder when o is divided by 6.
0
Suppose 2*y - 2*n = 6*y + 30, -50 = 5*y + 5*n. What is the remainder when (-4 - (0 + -3)) + 29 is divided by 11 - (y + 5 + -2)?
2
Let f = 11552 - 10536. What is the remainder when f is divided by 10?
6
Suppose -5*c + 695 = 3*i, 4*c + 2*i - 583 = 5*i. What is the remainder when c is divided by (10/(-8))/(1*10/(-200))?
17
Suppose n + 257 = 3*c, c - 2*c + n + 85 = 0. Suppose 185*z + 11*z - 5880 = 0. What is the remainder when (-4 - -2) + c + 2 is divided by z?
26
Suppose 2*w = -6, -4*w - 32 = -r + 1. Calculate the remainder when 985 is divided by r.
19
Let p(w) = -8*w - 445. Calculate the remainder when p(-78) is divided by 59.
2
Let b(v) = -v**3 - 3*v**2 - 6*v + 2. What is the remainder when b(-6) is divided by (((-9)/(-12))/(-1))/(2/(-40))?
11
Suppose 5*u + 11698 = 3*m, -59*m - 19490 = -64*m + 5*u. What is the remainder when m is divided by 100?
96
Let m = 17822 + -17754. Calculate the remainder when m is divided by 1/(-1) + 2 - -9.
8
Let d = 376 + -373. Suppose o - 17 - 9 = 2*i, -2*o + d*i = -51. What is the remainder when 42 is divided by o?
18
Suppose -25*b + 408 = 9*b. Suppose -b*d = -81 - 1251. What is the remainder when d is divided by 61?
50
Let y = 7856 - 7709. What is the remainder when y is divided by 28?
7
Let c(b) = -b**3 - 2*b**2 - 7*b - 3. Suppose 0 = 3*s + 3*h - 177, -4*h - 13 = -29. What is the remainder when c(-8) is divided by s?
52
Let v(y) = -2*y**2 - 23*y + 59. Let b be (18/(-6))/27 - (-116)/(-9). Calculate the remainder when 276 is divided by v(b).
16
Let w be 3638/85 - (1 - (-2)/(-10)). Let l(z) = 43*z - w + 49*z - 94*z. Calculate the remainder when 79 is divided by l(-29).
15
Calculate the remainder when (-6 - (-2 + (-36)/8))*410 is divided by 187.
18
Let f(h) = -10*h - 447. Suppose 5*p + 35 = -195. What is the remainder when f(p) is divided by 3?
1
What is the remainder when (-18 - -17 - -2)*59*1 is divided by 18?
5
Suppose 8*d - 964 = 3*d - 2*p, 0 = 4*d - 3*p - 762. What is the remainder when 404 is divided by d?
20
Suppose 2 = -p, 65 = 5*h - 33*p + 38*p. What is the remainder when 716 is divided by h?
11
Let j = 43 - 40. Suppose 7*i = 8*i - j. Suppose -4*b + i*b + 38 = 0. What is the remainder when 112 is divided by b?
36
Suppose 52*i - 47*i + 20240 = 93*i. Calculate the remainder when i is divided by 38.
2
Suppose 5*y - 4*s - 128 = 0, -51*y - 5*s - 34 = -52*y. Suppose 3*j - 93 = 45. What is the remainder when j is divided by y?
22
Let f(j) = j**2 + 58*j - 441. What is the remainder when 2 + -3 + 2 - -37 is divided by f(7)?
10
Suppose 0 = 2*r - 45*p + 42*p - 1451, 5*r - 5*p = 3635. Calculate the remainder when r is divided by 10.
0
What is the remainder when 399 is divided by 13/(52/40) + (-9)/108*0?
9
Let z(c) = -c**3 - 14*c**2 - 26*c - 18. Let r = 49 + -52. Let y be (9 + r)/(1/(-2)). What is the remainder when 8 is divided by z(y)?
2
Suppose 25 = j + 2*a, a - 2121 = 4*j - 2167. Calculate the remainder when 70 is divided by j.
5
Let i be (-1130)/25 + (-8)/10. Let r = -60 - i. Let b(f) = -f**2 - 15*f + 4. Calculate the remainder when 29 is divided by b(r).
11
Let o(c) = 39*c - 1. Let n = -158 + 148. Let j(v) = -3*v**2 - 31*v + 3. What is the remainder when o(1) is divided by j(n)?
12
Let m = 2092 + -2080. Suppose -c + 3*c - 286 = 0. What is the remainder when c is divided by m?
11
Suppose -22*m + 2929 = 7*m. Suppose -3*q + m = -88. Calculate the remainder when q is divided by 17.
12
Let s(m) = -m**3 - 105*m**2 + 548*m + 41. Suppose 0 = y - 2*y + q + 340, -2*q = 0. What is the remainder when y is divided by s(5)?
30
