
26
Let a(t) = 9*t - 1. Suppose -60 = 6395*r - 6360*r - 445. What is the remainder when a(6) is divided by r?
9
Let l(t) = -31*t**2 - t - 4 + 33*t**2 - 9. What is the remainder when l(6) is divided by 7?
4
What is the remainder when (-1180)/60*9/(-1) is divided by 43?
5
Let y(g) = -g**3 - 6*g**2 - 5*g - 2. Calculate the remainder when y(-6) is divided by (-37)/(-2) + 5/10.
9
Let p be ((-2)/(-10))/(6 - 89/15). Suppose -2*l + 23 = p*o, -3*o = -4*l + 2*l + 17. Suppose 0 = l*q - 57 + 7. Calculate the remainder when 13 is divided by q.
3
Suppose q - 3*q = -4. Suppose 0 = q*d - 68 - 86. What is the remainder when d is divided by 9?
5
Calculate the remainder when 213 is divided by -7 + 103 + (-2 - 1) + 8.
11
Suppose -223*w + 16308 = -6438. What is the remainder when 1515 is divided by w?
87
Let f = -192 - -106. Let t = f + 292. What is the remainder when t is divided by 69?
68
Suppose s + 184 = 4*v, 3*s = -0*s + v - 607. What is the remainder when (s/14)/((-34)/119) is divided by 13?
12
Suppose -5*r + 5*q = -335, -193 = -3*r + 21*q - 26*q. Suppose 7*s - 164 = -r. Calculate the remainder when s is divided by 4.
2
Suppose -122 = -4*d + 5*j, -11*d + 10*d + 5*j + 38 = 0. Let c(r) = r**2 - 5*r + 7. Calculate the remainder when c(13) is divided by d.
27
Suppose 222*m - 3494 - 6288 = 874. Calculate the remainder when 567 is divided by m.
39
Let w = -15 - -39. Suppose -191*m = -195*m + w. Suppose l = -m + 21. What is the remainder when 58 is divided by l?
13
Suppose -2*y = -21 + 7. Suppose 28*o - 380 = -324. What is the remainder when y is divided by o?
1
Let y = -6443 + 6448. What is the remainder when 3402 is divided by y?
2
Let l = -13 + 21. Let w(c) = -c**3 + 8*c**2 - c + 11. Let p be w(l). Calculate the remainder when p/2*(-3696)/(-36) is divided by 26.
24
Suppose f - 6 - 6 = -2*g, 5*f - 20 = -2*g. Suppose 0*o - 2*o - 2 = l, -g*l = 4*o - 8. What is the remainder when (23/l)/(4 + (-316)/80) is divided by 17?
13
Suppose -180 = -11*x - 4*x. Suppose -p - 4*r + 8 = -31, 2*r - 33 = -p. What is the remainder when p is divided by 42/x + 7/(-14)?
0
Suppose 0 = q - 6*q - g - 4, 2*q = 3*g + 12. Suppose -43 = -3*l - 2*w, -4*l + 64 = -q*l + w. Let t = 38 - l. Calculate the remainder when t is divided by 13.
8
Suppose -13*b + 33 = 7. Suppose -2*x = -5*s - 41, x - b*s - 3*s = 8. Suppose -35 - 227 = -2*d. What is the remainder when d is divided by x?
32
Let r(k) = 2*k**2 + 17*k + 53. Let y be r(-19). Let a = -398 + y. Calculate the remainder when 158 is divided by a.
50
Suppose -261 = -4*o - 65. Let p be 9*(-1)/(-3) - 3 - -11. Suppose 0*g + 286 = p*g. What is the remainder when o is divided by g?
23
Let t(w) = 4*w - 2. Let g be -9 - -11 - (-16)/2. Suppose 24*z - 19*z = g. What is the remainder when 16 is divided by t(z)?
4
Let s(j) = -9*j + 6. Let f(o) = o**2 - 12*o + 14. Let l be f(10). Let q be s(l). What is the remainder when (q - 0/1) + 2 is divided by 9?
8
Let m(a) = 6*a**2 + 43*a - 33. Calculate the remainder when m(-12) is divided by 28.
7
Suppose 0 = 45*q - 11182 + 1147. Suppose 2*z - 4*p + 19 = p, -4*z = -5*p + 33. What is the remainder when (q + 0)/(7/z - -2) is divided by 25?
23
Calculate the remainder when 28/6*(-666720)/(-3241) is divided by 190.
10
Suppose 332*w - 5866 = -5*l + 334*w, 5*l - 5869 = 3*w. Calculate the remainder when l is divided by 17.
16
Suppose 2*z = -5*z + 336. Let d = -43 + z. Calculate the remainder when (-3 + 2)*-75 + (d - 3) is divided by 20.
17
Let m be (1 - 0)/(-2*5/(-20)). Suppose f + 10*f - m*f = 0. Calculate the remainder when (-30)/(f + (-3)/3) is divided by 11.
8
Let r(m) = 1346*m**2 - 36*m - 35. What is the remainder when r(-1) is divided by 19?
17
Let r(x) = -154*x + 1396. Calculate the remainder when r(6) is divided by 21.
10
Suppose 15*l - 11*l - 104 = -3*f, 96 = 2*f - 4*l. What is the remainder when 232/2 - 9/(-12)*-4 is divided by f?
33
Suppose -5*v - 1784 = -5*u + 1041, -5*u - 10 = 0. Let p = -303 - v. What is the remainder when p is divided by 34?
26
Let z = -6 + 11. Suppose -s + 0*s = -z. Let m = 56009 - 56000. Calculate the remainder when m is divided by s.
4
Suppose 124*c = 2*p + 128*c - 2, p - 13 = c. What is the remainder when 1031 is divided by p?
5
Let b(u) = 11*u**2 - 77*u + 28. Let c be b(7). Suppose 20 = 12*n - c. Let s(i) = 9*i**2 - i + 1. What is the remainder when s(1) is divided by n?
1
Let z = -155 + 30. Let t = -91 - z. What is the remainder when 124 is divided by t?
22
Let g = 0 - -16. Let o = g - 5. Suppose -3*q = 9*t - 14*t + 274, 165 = 3*t - 2*q. Calculate the remainder when t is divided by o.
9
Let s(j) = -j**3 - 25*j**2 + 26*j + 23. What is the remainder when 214 is divided by s(-26)?
7
Calculate the remainder when 12661 is divided by (775/(-50) - -16)*378.
187
Let j(p) = 2*p**2 - 66*p + 183. What is the remainder when j(32) is divided by 63?
56
Let k(v) = -v**3 + 20*v**2 - 33*v - 43. Let b be (-1 + 4)/(1/6). Suppose 5*y = c - 56, -4*c + 37 + 82 = y. Calculate the remainder when c is divided by k(b).
9
Suppose v = -6 + 4. Let p(i) = -21*i**3 + 4*i**2 + 3*i - 4. Let d be p(v). What is the remainder when (-2)/(-4*(-1 - d/(-172))) is divided by 15?
13
Suppose 195*r - 22553 - 3211 = -144*r. What is the remainder when 977 is divided by r?
65
Calculate the remainder when 10504 is divided by 87/3 - (31 + -13).
10
Suppose 272*i - 248*i - 211 - 3005 = 0. What is the remainder when i is divided by 70?
64
Let p be (-87)/(-2) - -7 - (-3)/(-2). Let s be 1300/6*((-162)/45 + 6). Suppose s = -p*c + 53*c. What is the remainder when c is divided by 27?
22
Let q be (-2)/17 - 13280/(-170). Suppose -3*t + 242 = 2*c, q = t - 4*c + 2*c. Suppose 4*r + 12 = t. Calculate the remainder when r is divided by 5.
2
Suppose -132 = -2*o - 4*o. Let q(l) = 7*l**2 - 6*l - 38. Let x be q(-10). Suppose 0 = 9*y - x - 439. What is the remainder when y is divided by o?
19
Let x = 23 - -49. Suppose -8*g + 10*g = -x. Let w = 47 + g. Calculate the remainder when 21 is divided by w.
10
Let h = 85 - 30. Calculate the remainder when 279 is divided by (-1 + (-51)/5)/((-11)/h).
55
Suppose 3*s - 811 + 6606 = 5*x, -1159 = -x + s. What is the remainder when x is divided by 22?
15
Let s(t) = 3*t**3 - 9*t**2 - 4*t - 3. Suppose 0*k + k + 32 = 0. Let g be (3 + k/4)/(2/(-2)). What is the remainder when s(g) is divided by 26?
23
Let n = -4138 + 4179. Calculate the remainder when 983 is divided by n.
40
Let w = -5384 - -7713. Calculate the remainder when w is divided by 16.
9
Suppose -14*x - 2*x + 34*x - 11916 = 0. What is the remainder when x is divided by 37?
33
Let c(x) be the second derivative of -x**5/20 - 13*x**4/6 - 49*x**3/6 - x**2 + x + 19. What is the remainder when 39 is divided by c(-24)?
17
Let c = 45 - 43. Suppose -10*a = -c*a - 24. Suppose -h = a*u - 74, h + u + 127 = 3*h. What is the remainder when h is divided by 22?
21
Let j(q) = -q + 1. Let g be j(-3). Suppose g = x + 3. Let v(a) = 5*a**2 - a + 2. Calculate the remainder when 17 is divided by v(x).
5
Let w be 3/(-2)*2 - 104. Let s = -59 - w. Suppose 0 = -2*y + 8*y - s. What is the remainder when 14 is divided by y?
6
Let z(u) = 9*u**3 - u**2 + 4*u - 4. Suppose -4*t = 7*t - 209. Calculate the remainder when t is divided by z(1).
3
Let y = 28258 - 27223. Calculate the remainder when y is divided by 281.
192
Let q(f) = f**3 + 72*f**2 - 1412*f - 287. What is the remainder when q(-88) is divided by ((-1)/3)/(1/(-33))?
10
Let u(g) = 33*g + 44. Let n be u(-11). Let v = -246 - n. Suppose 7*f = 3*f + 152. What is the remainder when v is divided by f?
35
Suppose -401*p - 55495 = -3*t - 406*p, 2*p + 92564 = 5*t. Calculate the remainder when t is divided by 178.
176
Let i(v) = v**2 - 34*v + 212. What is the remainder when 2198 is divided by i(6)?
42
Let w = 93 - 52. Suppose -d - w = -5*k, 0 = -k - k - 2*d + 14. What is the remainder when 52 is divided by 9*(1 + (-12)/k)*-6?
25
Suppose -261 - 147 = -4*j. Suppose 32 = -2*z - 3*z + o, 4*z + o + 22 = 0. Calculate the remainder when j is divided by (-1)/z*-2*-105.
32
Suppose 2*q - 3*o = -q + 30, 0 = -3*q + 5*o + 28. Suppose -q*x - 54 = -14*x. What is the remainder when 32 is divided by x?
14
Let s be -1*(-2 + (-18)/((-10)/5)). Let d(z) = 2*z + 79. What is the remainder when d(s) is divided by ((-27)/(-4))/((-6)/(-16))?
11
Let i(m) = 3*m**2 - 137*m 