ided by 23.
22
Let r(n) = n**2 - 42*n - 228. What is the remainder when 681 is divided by r(-5)?
2
Suppose 22*c - 187 = -4*c + 1165. What is the remainder when 2565 is divided by c?
17
Suppose 45*g - 11*g = -19*g + 55067. Calculate the remainder when g is divided by 29.
24
Let h(q) = 4*q**2 + 4*q + 1. Let y be h(-1). Calculate the remainder when 68 - 2/(y + 5/(-3)) is divided by 9.
8
What is the remainder when 451 is divided by 2888/17 - ((-14904)/391 + 38)?
111
Let j = -2102 + 2204. Calculate the remainder when 106 is divided by j.
4
Suppose -3*m + 3*j + 189 = 0, 2*j = -2*m + 29 + 77. Let d = m + 138. What is the remainder when d is divided by 20?
16
Let i(a) = -a**3 + 9*a**2 + 3*a - 8. What is the remainder when i(-4) is divided by 1?
0
Suppose 0 = 2*c - 5*p - 6024, -c + 0*p + 3002 = -5*p. Calculate the remainder when c is divided by 89.
85
Suppose 1 = 5*m + 2*l - 260, 0 = m + l - 54. Suppose 5*u = -0*u + 90. Calculate the remainder when m is divided by u.
15
Suppose -9*d + 10*d = 12. Suppose 14 = d*h - 22. Suppose 2*j + c - 115 = 0, -c - 88 - 72 = -h*j. What is the remainder when j is divided by 29?
26
Let j = -716 - -462. Let o = j - -286. Calculate the remainder when o is divided by 9.
5
Let c(v) = 2*v - 3. Let p = 3 - -2. What is the remainder when -2 + (-77)/(-3) + 4/(-6) is divided by c(p)?
2
Let t(w) be the second derivative of w**5/20 - 11*w**4/12 + 5*w**3 + 5*w**2/2 - 177*w. Calculate the remainder when 398 is divided by t(7).
18
Let z = -20272 + 20367. What is the remainder when 446 is divided by z?
66
Let v = -11 - -113. Suppose 0 = s - 6*m + 4*m - 34, -3*s = m - v. Suppose x = -4*u + 32, 0*u - 5*u + 3*x + 57 = 0. What is the remainder when s is divided by u?
7
Let u(l) = l**3 - 9*l**2 + l + 1. Let x(d) = d**3 - 3*d**2 - 4*d + 4. Calculate the remainder when x(5) is divided by u(9).
4
Let a(w) = -w**3 + 40*w**2 + 35*w + 326. Calculate the remainder when 120 is divided by a(41).
40
Let l(o) = -284*o - 2652. What is the remainder when l(-14) is divided by 35?
29
Calculate the remainder when (1 - 2) + 335 + 0 is divided by (84 - 0)*(278/(-1668) + 5/6).
54
Let w(a) = -3778*a - 6129. Calculate the remainder when w(-7) is divided by 13.
11
Suppose -119243*b + 119271*b - 3304 = 0. Let y = 103 - 41. Calculate the remainder when b is divided by y.
56
Suppose 3*v - 13 = -q, 0*v = 3*v - 9. Suppose 7*p - 23 = -q*o + 2*p, 4*p = 5*o - 80. Suppose 0*a - 28 = -2*a. Calculate the remainder when a is divided by o.
2
Let m = 286 - -25. Let h = -305 + m. Calculate the remainder when 80 is divided by h.
2
Suppose 0 = 2*r - 6*w - 130, -3*w + 6 = -3. Calculate the remainder when 154 is divided by r.
6
Let s = -16 + 18. Suppose 4*b = s*b - 64. Let d = 46 + b. Calculate the remainder when 36 is divided by d.
8
Let d = -57 - -772. Suppose -1085 = -d*o + 708*o. What is the remainder when o is divided by 52?
51
Suppose 39 = -3*w + 3*h, 5*w + 3*h = 3 - 36. What is the remainder when 210/w*54/(-15) is divided by ((82 - 0) + 4)*1/2?
41
Let k = -12052 + 12434. Calculate the remainder when 1917 is divided by k.
7
Suppose -6 = -3*l + 24. Let r(j) = 251*j - 1477. What is the remainder when r(6) is divided by l?
9
Let z(h) = 2*h**3 - 13*h**2 + 6*h + 1. Let j be z(6). Let m be -6*(2 + (0 - j)). Let d(x) = x**2 + 5*x + 9. Calculate the remainder when 56 is divided by d(m).
11
Let v(s) = -2*s**3 - 7*s**2 + 7*s - 6. Let f be v(-6). Let t = f + -95. What is the remainder when t is divided by 25?
12
Suppose 0 = 2*k + 3*d - 362, -16*d - 8 = -20*d. What is the remainder when k is divided by 36?
34
Let y be (4 + -1)*(4 + (8 - -3)). Let n be (-6 - y/(-20))*80/(-3). Suppose -n = -49*i + 45*i. What is the remainder when i is divided by 6?
1
Let t(j) = -193*j + 914. What is the remainder when t(3) is divided by 24?
23
Suppose -22*a + 4*s - 40 = -23*a, 0 = -5*a - s + 162. Calculate the remainder when 72 is divided by a.
8
Suppose -t - 9 = -4*t. Suppose -8*s + t*s - 5*p = -145, 4*p = 12. Let n = 40 - 25. Calculate the remainder when s is divided by n.
11
Let p = -172 + 264. Calculate the remainder when 314 is divided by p.
38
Let f be -1 - -1 - (-11 + -19). Calculate the remainder when (3 - f/5 - -111) + -5 is divided by 4.
3
Let b(i) = -233*i**2 - 2*i - 1. Let h be b(-1). What is the remainder when (25810/h)/((-5)/8) is divided by 61?
56
Suppose -7*v - 232 + 925 = 0. What is the remainder when 7423 is divided by v?
97
Suppose 545 = -423*c + 428*c. What is the remainder when 525 is divided by c?
89
Let c = -11 - -33. Let p = 242 + -240. Suppose 5*t = -4*w + 57, -2*w + 50 = 2*w - p*t. Calculate the remainder when c is divided by w.
9
Let s = 393 + -217. Suppose -8*x + s = -0*x. What is the remainder when 35 is divided by x?
13
Let w be (-69)/6*(1 - -5). Let d(n) = 18*n**2 + n. Calculate the remainder when 2 - 1 - 0 - w is divided by d(1).
13
Let p be 0/(-2)*5/(-10). What is the remainder when 163 is divided by (-1 - p)*(-26 - 15)?
40
Suppose 0 = 2*r + 3*r + 15, 0 = 3*m + 5*r - 498. Suppose 0 = 7*z - 11 - m. Suppose -2*p - 200 = -6*p. What is the remainder when p is divided by z?
24
Suppose 2*c + 5*w = 3 + 1, -3*w = 5*c - 48. Let l be c/(-18) - (-172)/6. Suppose -l - 4 = -2*v. What is the remainder when 28 is divided by v?
12
Suppose 679*u - 641*u - 494 = 0. Calculate the remainder when 209 is divided by u.
1
Let u(h) = -27*h**2 - 299*h - 67. Calculate the remainder when u(-10) is divided by 71.
10
Suppose 0 = -3*i - 95 + 362. Suppose -20*k + 1998 = -17*k + 4*u, 3*k - 2001 = -3*u. Let b = -646 + k. What is the remainder when i is divided by b?
17
Let p be 1/2 - (-135)/(-10). Let k = p - -13. Suppose k = 6*q + 16 - 196. Calculate the remainder when 59 is divided by q.
29
Let j be 2/(-6)*-3*1. Let z be 7/(-7) + (-19)/j. What is the remainder when 13 is divided by 19/5 + 16/z?
1
Suppose 12*s - 8*s - 5*l - 243 = 0, -25 = -5*l. Calculate the remainder when s is divided by 45.
22
Suppose -q = -5*w - 110, 7*w - 5*q = 3*w - 88. Let y = w + 38. Suppose v + 4*r = 77, -r - 172 = 179*v - 183*v. Calculate the remainder when v is divided by y.
13
Let v(d) = -3*d + 54 + 24*d + 1. What is the remainder when 40 is divided by v(-2)?
1
Let d = 113 - 114. Let l(b) = -19*b + 11. What is the remainder when l(d) is divided by 12?
6
Let x be (11581/(-148))/(1/12). Let s = -480 - x. What is the remainder when s is divided by 22?
19
Suppose -3*u = -v + 16, v - 20 = -u + 5*u. Calculate the remainder when 43 is divided by v/10 - -4*(-98)/(-20).
3
Suppose -4*q - 829 = 12*z - 2629, z - 150 = -5*q. What is the remainder when z is divided by (0 - 0) + -2 - -53?
48
Let r(d) be the third derivative of -d**4/8 + d**3/3 + 19*d**2. Let l be r(2). Let s(q) = -6*q + 4. What is the remainder when s(l) is divided by 16?
12
Let v(g) = 70*g**2 + 73*g - 259. What is the remainder when v(4) is divided by 20?
13
Let k(v) = 204*v + 2885. Calculate the remainder when 2193 is divided by k(-14).
18
Suppose -2*o + 656 = 5*b - 58, 0 = -4*b + o + 566. What is the remainder when b is divided by 86 + (30 - -51 - 26)?
1
Suppose 0 = 3*o + 2*o - 350. Let y(b) = -7*b - 54. Let w = -523 - -514. Calculate the remainder when o is divided by y(w).
7
Suppose -394 = -5*h + 4*t, -2*t = h + 420 - 482. Calculate the remainder when h is divided by 1*2*(0 + 2).
2
Let j(l) be the third derivative of 3*l**3 + 17*l**2 + 0*l + 1/60*l**5 + 0 - 1/120*l**6 + 0*l**4. Calculate the remainder when 49 is divided by j(0).
13
Suppose 2*m - 48 = -5*x - 0*m, 3*x + 4*m - 26 = 0. Let i = x - -63. What is the remainder when 284 is divided by i?
65
Let i(v) = v**3 + 10*v**2 - 5*v - 14. Let w = -351 + 341. Suppose 277 = 4*b - 3*g + 2*g, -5*g + 340 = 5*b. Calculate the remainder when b is divided by i(w).
33
Let q(n) = 3*n**3 - 20*n**2 - 22*n - 1. Let g be q(9). Calculate the remainder when -1 + 5/(40/g) is divided by 29.
16
What is the remainder when 27720/980*(-21)/(-2) is divided by 61?
53
Let l be (1 + 1)*168/48. Suppose l*i = 21*i - 1750. What is the remainder when i is divided by 42?
41
Suppose -378 = 5631*b - 5673*b. Suppose -5*f - 16 = 2*v - 6*v, 20 = 5*v - 5*f. What is the remainder when b is divided by v?
1
Suppose 0 = 2*f + 2*f - 156. Suppose -54*u + 351 = -41*u. Suppose -u*v + 440 = 62. What is the remainder when f is divided by v?
11
Let n(i) = 2*i**2 + 