 by s?
10
Let q(n) = n**3 - 5*n**2 + 2*n + 1. Suppose 235 = 2*t - 5*y, 2*t + 91 - 334 = -3*y. Calculate the remainder when t is divided by q(5).
10
Suppose -701 - 391 = -28*z. What is the remainder when 14078 is divided by z?
38
Let g = 118 - 130. What is the remainder when (-5 + 474/36)/((-2)/g) is divided by 24?
1
Let l = -637 + 640. Suppose 56 = 4*r + l*u, -4*r + 128 - 40 = -5*u. What is the remainder when 181 is divided by r?
11
Let k be 16/(-24)*1*-18. Suppose j + 0*t - 3*t + k = 0, -2*j - 3*t = -12. What is the remainder when 74 is divided by j + 2 - (-19 - 12/3)?
24
Let h = -3506 - -3893. What is the remainder when h is divided by 46?
19
Let q = -9129 + 9722. Suppose 5*l - 56 = -3*i, 0*l = -4*l - 8. What is the remainder when q is divided by i?
21
Let l(h) = 17*h - 129. Let v be l(8). Let b(x) = 4*x**2 - 20*x + 24. Calculate the remainder when 477 is divided by b(v).
77
Let c(n) = 56 - 63 - 131 - 15*n + 10*n. What is the remainder when c(-29) is divided by 2?
1
Suppose -10*r + 71 = -39. Suppose 329 = 2*z - 3*t, -6*z - 865 = -r*z - t. Calculate the remainder when z is divided by 44.
40
Suppose 2*p + 76 = 6*p. What is the remainder when 113 + (-8)/((-24)/(-21)) is divided by p?
11
Let z = -2 + 16. Calculate the remainder when z is divided by (4 + -1)*2235/(-1341) - -13.
6
Let o = 4053 + -3968. What is the remainder when 3396 is divided by o?
81
Suppose -5*v + 4*f = 33, 0*f = 3*f - 6. Let c be 4*((-285)/(-6))/v. Let m = c - -45. Calculate the remainder when 27 is divided by m.
6
Let q = 224 - 191. Suppose -o = s - q, -5*o = 2*s - 3*s + 9. What is the remainder when s is divided by 2?
1
Let r(u) = 13*u**2 + 173*u + 677. Calculate the remainder when r(-4) is divided by 59.
16
Suppose -3*y + 2*d + 0*d - 18 = 0, -y = 2*d + 6. Let o be -1 - -1 - (7 + y + 2). What is the remainder when 3*o/9*-43 is divided by 18?
7
Suppose 24*a = 8493 + 6699. What is the remainder when a is divided by 61?
23
Let w = -3485 + 3550. What is the remainder when 110 is divided by w?
45
Let y = -324 - -327. Calculate the remainder when y*5/15 - 1*-80 is divided by 21.
18
Let y(s) = -s**3 - 6*s**2 + s + 5. Let j be y(4). Let b = 225 + j. Calculate the remainder when b is divided by 38 + 0/(-3 + -1).
36
Let x(v) = 24*v**3 - 56*v**2 + 168*v - 1. Calculate the remainder when x(3) is divided by 25.
22
Let t be (6 - 0) + (-64)/16. Suppose 3*p + 0*p + 6 = 0, 0 = t*b + 2*p - 4. Suppose -b*l = l - 35. What is the remainder when 20 is divided by l?
6
Suppose -44*a + 42*a = -358. Let p = 171 + -145. Calculate the remainder when a is divided by p.
23
Calculate the remainder when 2/7 - ((-2090)/35 - 1) is divided by (-7)/((-28)/(-20))*6/(-2).
1
Let q = -38198 + 38333. What is the remainder when 1182 is divided by q?
102
Let i(r) = r**3 + 10*r**2 - 27*r - 130. Calculate the remainder when i(-7) is divided by (9/6)/(1/28).
38
Let u = -36 + 42. Suppose 4*c = -b + 41, -u*b - 39 = -3*c - 4*b. Suppose 2*z + 225 = c*z. What is the remainder when 99 is divided by z?
24
Let i be (-171)/(-12) - 2/8. Let o(d) = -d**2 + 18*d - 5. Let r(g) = g**3 + 13*g**2 - 16*g - 10. What is the remainder when o(i) is divided by r(-14)?
15
Suppose -570 = -9*y + 699. What is the remainder when 1540 is divided by y?
130
Suppose 5*g + 5*i - 505 = 0, 137 = 5*g - 3*i - 360. What is the remainder when 756 is divided by g?
56
Suppose 2*j - j + 13 = 0. Let q(d) = 26*d**2 - 2264 - 4*d + 9*d**3 + 2258 - 7*d**3. Calculate the remainder when 88 is divided by q(j).
42
What is the remainder when 340 is divided by -13 + (3039 + -15)/24?
1
Let t = -1549 - -1698. What is the remainder when t is divided by 65?
19
Let i(c) = 444*c**2 + 31*c + 98. Let y be i(-3). Suppose 0 = 17*x - y + 448. Calculate the remainder when x is divided by 21.
20
Suppose -14*s - 12369 = -70*s + 37*s. Calculate the remainder when s is divided by 163.
162
Let h(d) = 68*d - 5771. Suppose 2*j - p + 60 = 7*j, -4*j + 48 = p. Let q = j + -7. Calculate the remainder when h(85) is divided by q.
4
Let p = -2336 - -2427. Calculate the remainder when 458 is divided by p.
3
Let p(a) = 13*a - 1. Let g be ((-64)/12)/((-14)/21). What is the remainder when (g/(-6))/(-2) - (-427)/21 is divided by p(1)?
9
Suppose 19 = i - 29. Let u = 71047 - 70859. Calculate the remainder when u is divided by i.
44
Let l(r) = 4*r**3 - 63*r**2 - 29. Calculate the remainder when l(16) is divided by 59.
50
Let q(x) = x**3 + 3*x**2 - 20*x + 54. Calculate the remainder when 293 is divided by q(4).
35
Calculate the remainder when (-99)/22*488/(-4) is divided by 92.
89
Let g be 84/196 - 36/(-14). Suppose -4*u = g*q - 79, 6*u = u + 2*q + 70. Calculate the remainder when 43 is divided by u.
11
Suppose -20*p = 5551 - 11191. Calculate the remainder when p is divided by 68.
10
Let t be 0/(27/(-3)*16/(-72)). Suppose 2*h + h + 141 = 2*u, t = 3*h + 3. What is the remainder when u is divided by 36?
33
Suppose 5*v - 10*v - 5*q = -45, 0 = 3*v + 5*q - 11. Calculate the remainder when -47*(-2)/(-4)*-2 is divided by v.
13
Suppose 3*t + 0*x = -x + 20, 0 = 2*t - 5*x - 19. Suppose 3*q = 3*c - 204, q = -t*c + 11*c - 260. Calculate the remainder when c is divided by 27.
10
Suppose -2*q = -432 + 112. Suppose 3*p - 18*n - q = -23*n, 3*p = 2*n + 146. Calculate the remainder when 161 is divided by p.
11
Let v = -86 + 93. Suppose 33 = -4*b + v*b. Calculate the remainder when 107 is divided by b.
8
Let b(v) be the second derivative of -9/2*v**2 + 5/12*v**4 + 13/6*v**3 + 24*v + 0. What is the remainder when b(-4) is divided by 4?
3
Let l = -8577 + 8666. Calculate the remainder when 452 is divided by l.
7
Let j = -57 + -17. Let a = -58 - j. Calculate the remainder when 32 is divided by a + (-5)/(20/(-8)).
14
Calculate the remainder when (-593)/(-5) + 26 + (-3)/(15/(-2)) is divided by 37.
34
Suppose -5*m - 128 = -0*q - 3*q, 0 = -2*m - 8. Let p(x) = -996*x**2 - x - 1. Let z be p(-1). Let n = -673 - z. What is the remainder when n is divided by q?
35
Let t(i) = 125*i + 2582. Calculate the remainder when t(-16) is divided by 74.
64
What is the remainder when -17 - ((-36)/3 + -854) is divided by 31?
12
Let h = 27994 - 24595. Calculate the remainder when h is divided by 65.
19
Let f be (-16)/(-3) + 9/(-27). Suppose f*o - 31 = 6*o. Let w = o + 75. What is the remainder when w is divided by 12?
8
Let q(l) = 24*l**3 + 2*l**2 - 1. Let t = -321032 - -321046. What is the remainder when q(1) is divided by t?
11
Let q(y) = y**3 - 2*y**2 - 15*y - 136. Suppose 2*x = 5*n + 51, 2*x - 48 = -n + 3*n. What is the remainder when x is divided by q(7)?
3
Let o = -5433 - -5754. Calculate the remainder when o is divided by 21.
6
Suppose 4*b + 6 + 2 = -3*u, 0 = 2*u + b - 3. Suppose -75 = -u*y - 21*y. Calculate the remainder when 38 is divided by y.
2
Suppose -238*p - 3497 = -10161. Suppose 5*r + 3*y = 390, -3*r + 2*y + 234 = 7*y. What is the remainder when r is divided by p?
22
Let j be (-1*4/3)/(11/(-66)). Calculate the remainder when 16 + -14 - (j/(-4) + -73) is divided by 322/8 + (-1)/4.
37
Let q(m) = 42*m - 2978. What is the remainder when 910 is divided by q(71)?
2
Suppose 13*z - 5*o + 25 = 16*z, o + 8 = 2*z. What is the remainder when 924 is divided by z?
4
Let f = 24 - -44. What is the remainder when 422/1477 - ((-2826)/7 - 1) is divided by f?
65
Let g(f) = f**3 - 9*f**2 + 6*f + 27. Suppose -16*h + 39*h = 529. What is the remainder when g(9) is divided by h?
12
Suppose 0*f = 2*f - 574. Let x(u) = -u**3 + 66*u**2 - 886*u - 271. What is the remainder when f is divided by x(47)?
55
Suppose -p = -663 + 1066. Let q = 478 + p. What is the remainder when 224 is divided by q?
74
Let b = -99 + 120. Suppose -13*t - 352 = -b*t. Suppose 24 = 4*p - 8. What is the remainder when t is divided by p?
4
Let u = -22 - 256. Let a = 299 + u. What is the remainder when 142 is divided by a?
16
Suppose 7*z = -b + 10*z + 1234, -6114 = -5*b + z. What is the remainder when b is divided by 107?
45
Let h = 4863 - 4104. Calculate the remainder when h is divided by 31.
15
Suppose -n + 7 = 5. Suppose -n*k - 153 = -19*k. What is the remainder when 75 is divided by k?
3
Let b be 1268/(-28) - 4/(-14). Let m = -20 - b. Let v(o) = 44*o + 1216. Calculate the remainder when v(-26) is divided by m.
22
Suppose -144*n + 10000 = -94*n. What is the remainder when 621 is divide