t is the remainder when 33 is divided by d(-7)?
3
Suppose -196*c = -5006088 + 1863032. Calculate the remainder when c is divided by 203.
202
Let q(g) = -g**3 - 11*g**2 - 41*g + 43. Calculate the remainder when 2505 is divided by q(-8).
178
Suppose 3*j = 4*t + 996, j - 5*t - 96 = 247. Let w = -258 + j. Calculate the remainder when 489 is divided by w.
69
Suppose 828 = 12*g - 0*g. Suppose g*s - 73*s + 560 = 0. What is the remainder when s is divided by 8?
4
Suppose -a + 2*z = 11, 0*a - a - 17 = -5*z. What is the remainder when 115 is divided by -4*(-4 + a/2)?
25
Suppose -2*x = -5*x + 2*t + 129, -3*x + t + 126 = 0. Let c = x - 37. What is the remainder when 37 is divided by c?
1
Let g(w) = 19*w**2 - 52*w - 6. Calculate the remainder when 1997 is divided by g(-6).
17
Suppose -15*q - 4 = -x - 14*q, 8 = x - 2*q. Suppose x = 3*z - 12 - 81. Calculate the remainder when 185 is divided by z.
30
Let m(c) = -c**2 - 8*c + 62. Let t be m(-13). Let f be 33*(20/(-12) + 3). Let w = f - t. What is the remainder when w is divided by 8?
7
Suppose -6*h + 180 = -h. Suppose -q - h = -4*q - 4*r, -q + 10 = 2*r. Let u = -179 + 385. Calculate the remainder when u is divided by q.
14
Suppose 2000 = 10*a - 5*a. Suppose 7*b = 3*b + a. Calculate the remainder when b is divided by 29.
13
Suppose 742 = -5*h + 19*h. Let o = h + -2. What is the remainder when o is divided by 15?
6
Let u = -266202 - -266233. Suppose 5*n - 10 = -4*w + 7, 15 = 5*w. Let p = n + 15. Calculate the remainder when u is divided by p.
15
Let a be -8 - 4/(20/405). Let p = a - -124. Calculate the remainder when p is divided by 25.
10
Suppose -16*m + 254 = -50. Suppose 418 = m*s - 95. What is the remainder when s is divided by 25?
2
Suppose 0 = -2*l - 4*f + 20, -6*f + 7*f = -5*l + 32. Suppose l - 36 = -5*k. Calculate the remainder when (-1)/(k/(-285)) - (-2)/4 is divided by 27.
21
Let i(v) = 2*v**2 - 199*v - 958. Calculate the remainder when i(-5) is divided by 35.
17
Let u(s) = -3*s**3 + 3*s**2 + 11*s - 5. Let v(z) = -2*z**3 + 2*z**2 + 9*z - 5. Let a(r) = 5*u(r) - 6*v(r). What is the remainder when a(-3) is divided by 16?
14
Let r(h) = -h**3 - 7*h**2 - 5*h - 2. Suppose -5*a - 40 = -5*g, -2*a - 2*g = -0*g + 24. Calculate the remainder when r(a) is divided by 27.
24
Let o = -11832 + 11859. Calculate the remainder when 3399 is divided by o.
24
Let i(y) = -y**2 - 3*y. Let z be i(-4). Let r be 98*(10/z + (-2 - -5)). Suppose r*t = 47*t + 22. What is the remainder when 31 is divided by t?
9
Let b = 3109 - 2956. What is the remainder when b is divided by 96?
57
Let a be 4338/(-15)*5*3/6. Let o = a + 912. Calculate the remainder when o is divided by 5.
4
Let c(m) = m**3 + 26*m**2 + 30*m + 140. What is the remainder when 183 is divided by c(-25)?
3
Let h be (0 + 13/2)*(-10 - -4). Let c = h - -62. Calculate the remainder when 243 is divided by c.
13
Let q = 20 + 33. Let y(f) = 39*f - 348. Let m be y(10). Suppose -4*u = 5*p - 83 - 7, p - m = 4*u. Calculate the remainder when q is divided by p.
9
What is the remainder when (184704/(-210) - 4/(-10))/(269/(-1883)) is divided by 131?
128
Let o(b) = -4*b**2 - 38*b - 30. Calculate the remainder when 1113 is divided by o(-3).
9
Calculate the remainder when 1 + 1 + (21 - -347) is divided by (-35)/((-315)/54) + 25.
29
Let v = -5441 - -5480. What is the remainder when 70 is divided by v?
31
Let f(v) = -v**3 + 1. Let z be f(-1). Let q = -84 + 183. What is the remainder when 71 is divided by 2457/q + z/11?
21
Suppose -4*x = 4*m - 3092 + 2772, 3*x + 4*m = 243. Calculate the remainder when 1159 is divided by x.
4
Suppose -2*f + 4*w = 3*f - 547, 454 = 4*f + 5*w. Let b(d) = -48*d - 260. Calculate the remainder when f is divided by b(-6).
27
Suppose -v - 1776 = -17*v. Let f(d) = -2*d**3 - 6*d**2 - 2*d - 2. Calculate the remainder when v is divided by f(-4).
35
Let i = 367 + -457. Let b = 118 + i. Calculate the remainder when 116 is divided by b.
4
Let v = -164 - -172. Let x(z) = z**2 + 10*z - 83. What is the remainder when x(v) is divided by 13?
9
Suppose 5*a = 10, i + 4*a - 2*a = 29. Suppose 7*y - 4*b + 86 = 9*y, 88 = 2*y + 3*b. What is the remainder when y is divided by (i/4)/(1/4)?
22
Let n = -12696 + 12736. What is the remainder when 1602 is divided by n?
2
Let t = 3100 + -3038. What is the remainder when 1110 is divided by t?
56
Let a(m) = -3*m - 74. Let c(h) = -2. Let y(j) = -a(j) + 2*c(j). What is the remainder when 38 is divided by y(-21)?
3
Let j be (-2)/5 - (1788/10)/(-2). Let t = 29 + j. Let f = -6 + 26. Calculate the remainder when t is divided by f.
18
Let r be (7/(14/(-50)))/1. Let h = r - -30. Calculate the remainder when 35 is divided by 2 + h/((-20)/(-64)).
17
Let q(u) = -6*u - 15. Let b be q(-5). Let a(l) = -811*l**2 - 32 + 13*l - 3*l + 810*l**2 + b*l. What is the remainder when a(21) is divided by 21?
10
Let q = -22566 + 22809. What is the remainder when 519 is divided by q?
33
What is the remainder when 4406 is divided by ((-25)/(-1))/(-5)*(45/(-25) - 2)?
17
Calculate the remainder when 291078/126 + ((-12)/(-14) - 1) is divided by 381.
24
Let v = -8291 + 8359. Calculate the remainder when 751 is divided by v.
3
Suppose -2*w = 3*w + 55. Suppose 651 = 2103470*z - 2103449*z. What is the remainder when z is divided by (3 - 7)*w/4?
9
Let j(r) = -875*r - 861. What is the remainder when 3287 is divided by j(-1)?
11
Let d(x) = -x**2 + 90*x + 1572. Let r = 56 - 35. Calculate the remainder when d(104) is divided by r.
11
Let o(b) = 109*b - 750. Let i(s) = 59*s**2 - 5. What is the remainder when i(-2) is divided by o(7)?
10
Let d(y) = 46*y + 184. What is the remainder when d(7) is divided by 171?
164
Suppose -78*m + 150 = -72*m. Suppose -17*y + m*y = 712. Calculate the remainder when y is divided by 10.
9
Suppose 8*v = 16*v + 8*v - 8416. What is the remainder when v is divided by 107?
98
Suppose c = 14 + 9. Suppose 2*p + 88*p + 37*p - 27666 = -47*p. Calculate the remainder when p is divided by c.
21
Suppose 28 = 4*q + 4*v, -q + 5 = 3*v - 0*v. Let k = 863 - 442. Suppose 145 = -4*n + k. What is the remainder when n is divided by q?
5
Let c = -100 + 40. Let n = c + 72. Let v = 75 + -30. Calculate the remainder when v is divided by n.
9
Suppose 0 = -7*s + 13*s - 18. Let w be (-16)/72 - (-2)/27*s. Suppose w = -4*k - 5*i + 108, -k + 0*k + 44 = -3*i. What is the remainder when k is divided by 5?
2
Let p(d) = -75*d - 58. What is the remainder when 338 is divided by p(-1)?
15
Suppose 4*p + 2*j - 190 = 0, 3*p + 6*j - 115 = 10*j. What is the remainder when 22 is divided by (1 + -3)/((-6)/p)?
7
Suppose 23*q - 10*q - 39 = 0. Suppose -q*a + 538 = 445. Calculate the remainder when 60 is divided by a.
29
Let y(r) = -r**2 - 6*r + 10. Let f be y(-7). Let p(j) = -5*j - 11*j + 21*j + 3. Calculate the remainder when p(f) is divided by 5.
3
Suppose 3*s + 439 = 5*t, 0*s + 2*s - 4 = 0. What is the remainder when t is divided by ((-21)/(-4))/((-14)/((-1792)/12))?
33
Let s = 107 - 79. Suppose -p + 20 = -11. Suppose 1 = -3*m + p. What is the remainder when s is divided by m?
8
Let t be (770/(-20))/((-1)/174). Suppose -10*y = -31*y + t. What is the remainder when y is divided by 20?
19
Let u(p) = 3563*p + 5262. Calculate the remainder when u(4) is divided by 119.
117
Let h = -2784 + 20355. Calculate the remainder when h is divided by 29.
26
Suppose 2*y + 5*f - 30 = -3*y, 5*f = 2*y - 47. Let v = -125 - -130. Calculate the remainder when y is divided by (-20)/v*1/(-1).
3
Suppose 0 = 3*o, -3*u - 5*o + 292 = -1691. Suppose -u*a = -660*a - 64. Calculate the remainder when 115 is divided by a.
51
Suppose -g + 2583 = -4*c + 9609, -4*g = 2*c - 3522. What is the remainder when 1/(4 + -2 + c/(-882)) is divided by 8?
6
Let a(v) = 4*v**2 + 25*v - 53. What is the remainder when 127 is divided by a(2)?
10
Suppose -3*v = -5*r - 2*v + 18, -5*r + 5*v + 10 = 0. Suppose -n = r*g - 21, -2*n + 5*n = -g + 96. Calculate the remainder when 230 is divided by n.
32
Let y(u) = -12*u - 130. Calculate the remainder when 16 is divided by y(-11).
0
Let j = 124 - 49. What is the remainder when (-258)/(-731) - 3*(-10177)/51 is divided by j?
74
Let k = -13385 - -13402. What is the remainder when 2666 is divided by k?
14
Let c = -2 + -62. Let g = -61 - c. Suppose -h + 5*h + g*b - 69 = 0, -4*h + 3*b = -75. What is the remainder when 