er when c(n) is divided by 11.
10
Let w(f) = f**3 - 11*f**2 - 5*f - 5. Let t be w(12). Let y = t - 108. Let q = y - -62. Calculate the remainder when q is divided by 18.
15
Let g = 168 - 161. Let m(y) = -y**3 + 8*y**2 - 2*y. What is the remainder when m(g) is divided by 12?
11
Let x = 11 + 2. Suppose 2*i - 147 = -3*f, 45 = 3*f + 4*i - 96. What is the remainder when f is divided by x?
12
Let a(o) = 6*o - 20. Suppose 0 = -3*b - 4 + 1. Let c = 7 + b. What is the remainder when 190 is divided by a(c)?
14
Suppose -1405 = -30*n + n - 274. Calculate the remainder when 415 is divided by n.
25
Let l(c) = 164*c - 1556. What is the remainder when l(13) is divided by 83?
78
Let k = -15249 - -15270. Calculate the remainder when 10120 is divided by k.
19
Let g(y) = 12*y + 98. Let d = 276 + -270. What is the remainder when g(d) is divided by 43?
41
Let y = 105 - 101. What is the remainder when (3/y)/(-4 + 29832/7456) is divided by 70?
69
Let p(c) = c**3 + 9*c**2 - 14*c - 28. Suppose 0 = -3*w + 934 - 964. What is the remainder when 82 is divided by p(w)?
10
Suppose 2*g + y = 771, 0 = -3*g + y - 1680 + 2854. Suppose 3*k + 0*k - 43 = j, -2 = -j. What is the remainder when g is divided by k?
14
Let o = 1124 + -755. Calculate the remainder when o is divided by 47.
40
Suppose -6*u = -15*u - 27, -4*u - 2526 = -2*n. What is the remainder when n is divided by 63?
60
Suppose 51 = -4*k + 291. Let q be (-4)/(-16)*(19 - 3). Calculate the remainder when k is divided by 126/8 + 1/q.
12
Suppose -33 - 219 = -4*c + 5*h, 124 = 2*c - 3*h. Suppose -13 = -2*u - s, -3*u + 10 = -2*u + 4*s. What is the remainder when c is divided by 82/u + 7/21?
12
Let p(a) = a**3 + a**2 + 5*a + 5. Let c(w) = 7*w**2 - 5 - 2*w**3 - 6*w**2 + w**2 - 4*w. Let s be c(-1). Calculate the remainder when p(s) is divided by 30.
26
Let f(q) = -6*q - 20. Let l be (52/8)/(-1*(-2)/(-4)). What is the remainder when 113 is divided by f(l)?
55
Let h(q) = -5*q**3 - 20*q**2 + 10*q + 107. Calculate the remainder when h(-7) is divided by 169.
96
Suppose 5*n - 4*y = 7598, 4*y - 445 = -413. What is the remainder when n is divided by 34?
30
Suppose 0 = -d - 2*m + 353, 6*d - 1786 = d - 3*m. Let j = d - 340. Let y = -44 + 118. What is the remainder when y is divided by j?
17
Let k(n) = 2*n**3 + 72*n**2 + 71*n + 129. Calculate the remainder when 288 is divided by k(-35).
6
Let u = -8 - -13. Suppose -7 = a + u*x, -2*x - 3*x - 15 = 5*a. Calculate the remainder when (-1)/(-2)*a*-26 is divided by 9.
8
Let x = 436 + -711. Let n = x + 194. Let i = n + 128. What is the remainder when i is divided by 12?
11
Suppose 0 = 4*c + l - 907, -2*c - 139*l + 136*l + 471 = 0. Calculate the remainder when c is divided by 27.
9
Let z be -14 - -21 - 488/(-1). Suppose 4*o - 37*o = -z. Calculate the remainder when 34 is divided by o.
4
Let n(p) = -4*p**2 + p - 1. Let x be n(-1). Let u(f) = -6*f - 7 - 5 - 11*f. What is the remainder when u(x) is divided by 31?
28
Suppose 0 = -11*t + 5*t + 414. Suppose 3*k - 192 = 3*h, -2*k = 3*h + t - 177. What is the remainder when k is divided by 4?
0
Let f be 1 + 1 + 3 + -2. Suppose 533 = -f*r + 5*k, r - 2*k + 167 = -3*k. Let j = -90 - r. What is the remainder when j is divided by 28?
25
Let j = 547 + -508. Calculate the remainder when 2728 is divided by j.
37
What is the remainder when 2319 is divided by (32/(-12))/4*13542/(-244)?
25
Let k(n) = -2*n + 26. Let t be k(11). Let q be (-8)/12*(-18)/t. Suppose -5*b = h - 13, 2*h - q*b - 26 = -b. What is the remainder when 21 is divided by h?
8
Let d(o) = -o**3 - 6*o**2 + 2*o + 10. Let t be d(-6). Calculate the remainder when 78 + -19 - 8/t is divided by 21.
0
Suppose m + 1 = -242*h + 241*h, -4*h - m + 11 = 0. Calculate the remainder when 441 is divided by h.
1
Let i(p) = p**2 - 6*p + 7. Let m be i(5). Suppose -5*a + 76 = m*r, 0 = -0*a + a + 2*r - 20. Calculate the remainder when 96 is divided by a.
12
Suppose -163*r - 2549 = -28002 - 39095. Calculate the remainder when r is divided by 20.
16
Suppose 217*w = 45*w + 11180. What is the remainder when 4802 is divided by w?
57
Suppose -5*h - 59 = 3*q, -2*h + q - 17 = 11. Let y(g) = -g**3 - 14*g**2 - 15*g + 9. Let o(f) = -f + 10. Calculate the remainder when y(h) is divided by o(-2).
11
Suppose 2*m - 11023 = -5*x, 4*m - 666 + 2897 = x. Calculate the remainder when x is divided by 34.
31
Let q(u) = -827*u + 14380. Calculate the remainder when q(17) is divided by 77.
13
Let j = 31 + -11. Let s(f) = f**3 + 20*f**2 + 33*f + 2. What is the remainder when s(-18) is divided by j?
16
Let i(q) be the first derivative of 5*q**3/3 + q**2/2 + 14. Let z be i(1). What is the remainder when z - 3 - (-31 - -3) is divided by 18?
13
Let z(t) = -t + 3. Let x(v) be the first derivative of -3*v**2/2 + 7*v - 14. Let a be x(5). What is the remainder when 42 is divided by z(a)?
9
Suppose c - 2*c + 253 = 2*z, -3*c - 501 = -4*z. Calculate the remainder when z is divided by 16.
14
Let t(c) = -122*c + 75*c + 76*c - 24*c + 19. Suppose -d + 6*d - 25 = 0. Calculate the remainder when t(d) is divided by 18.
8
Let q = -131 - -1366. What is the remainder when q is divided by 204?
11
Let n(f) = 4*f**2 + 18*f + 12. Let d be (-33)/(-22) - (-2)/4. Suppose -2*k + 90 = 4*a, -d*a + 37 = -k - 2. What is the remainder when n(-7) is divided by a?
19
Let w be 2*5/(-20)*-6. Suppose w*t - 102 = -4*b + 2*t, -30 = -b + 2*t. What is the remainder when 232 is divided by b?
24
Let v(r) = -5*r**2 + 36*r + 72. Let o(i) = -2*i**2 + 12*i + 24. Let q(s) = 8*o(s) - 3*v(s). What is the remainder when q(-6) is divided by 5?
2
Suppose -55 + 3 = -a. Let i = a - 33. Calculate the remainder when 94 is divided by i.
18
Suppose 4*z = -3*l + 81, 0 = 2*z - z + 5*l - 33. Suppose -20*q - 11625 = -45*q. What is the remainder when q is divided by z?
15
Let k(c) = 12*c + 48. Let o be k(-12). Calculate the remainder when 473 is divided by 24/3 - o/16.
11
Calculate the remainder when 1110 is divided by ((-18300)/25)/(4/(-2)).
12
Suppose 91 + 254 = 23*m. Suppose 144 = -m*c + 369. Suppose y + 5*o - 29 = 0, -3*y - 5*o - 7 = -6*y. Calculate the remainder when c is divided by y.
6
Let m = 9 - -8. Let j = -16 + m. Suppose 342 = -5*y + 357. What is the remainder when y is divided by j?
0
Suppose 68*b - 2820 = 66*b - 8*b. What is the remainder when b is divided by 81?
39
Let d(r) = -14 + 0 + r**3 + 2*r - 3*r - 10*r**2 + 3*r. Let h(a) = a - 30. Calculate the remainder when d(10) is divided by h(33).
0
Let v(j) = 8*j + 9. Let a(t) = t**2 - 5*t + 1. Let s be a(5). Let q be (1 + (-1)/s)/(-1). Calculate the remainder when v(q) is divided by 3.
0
Let g = 402 - -321. Suppose 20*z - g - 497 = 0. What is the remainder when 238 is divided by z?
55
Let f(c) = 2*c**2 - 242 + 226 + 10*c + c**2. What is the remainder when f(-8) is divided by 41?
14
Suppose -82*q + 340*q - 3354 = 0. Calculate the remainder when 415 is divided by q.
12
Let s(w) = -w**3 + 34*w**2 - 89*w - 95. Suppose -a - 32 = -5*a. Calculate the remainder when s(31) is divided by a.
5
Suppose 5*q - 3 = -n, -5*n - 102 + 27 = -5*q. Suppose 9*x - 60 = 4*x. Calculate the remainder when n/2 + (-10 - -60) is divided by x.
8
Suppose 4*h - 81 = -f + 16, 0 = 3*h - 6. Suppose 2*w + 6*n = 26, 7*w - 193 = 2*w + n. Calculate the remainder when f is divided by w.
15
Let q = 18 - 15. Suppose 4*i = -5*f - 225, q*i + 165 = -2*f - f. Let m = 100 + i. What is the remainder when m is divided by 13?
11
Let o be ((-3)/(-3))/1 - -253. Let q = o + -171. Calculate the remainder when q is divided by (-50)/100*21/(-3)*10/7.
3
Let g = -128 + 130. Suppose -5*c + 1191 = -g*a, 5*a + 489 = -c + 3*c. Calculate the remainder when c is divided by 34.
33
Suppose x = 4*t - 87, -259*t + 3*x - 107 = -263*t. Calculate the remainder when 790 is divided by t.
8
Suppose 4*g - 17 = -f, 2*g - 6*g + 3*f = 3. Suppose -p - g*o + 72 = 2*p, -3 = 3*o. What is the remainder when 96 is divided by p?
21
Let b(v) = 83*v**2 + 812*v - 14. Calculate the remainder when 478 is divided by b(-10).
146
Let x = -40 + 60. Suppose 3*a + 14 = -u - 216, 5*a = u - 370. Let h = 134 + a. What is the remainder when h is divided by x?
19
Let g(o) = -o**3 + 25*o**2 + 5*o - 79. Let a(c) = 10*c - 18. Let h(s) = s - 1. Let l(x) = a(x) - 4*h(x). Calculate the remainder when g(25) is divided by l(5).
14
Suppose 2*z + 4*x = 702,