c is divided by n.
14
Let s(w) = 21*w - 5*w + 11 - 1 + 38 + 38. Calculate the remainder when 30 is divided by s(-4).
8
Let t(y) = -y**2 + 3*y + 2*y + 3*y - y + 4. Let i(v) = 7*v**3 - v**2 + 2*v - 1. Let z be i(1). What is the remainder when t(z) is divided by 2?
0
Let d = -21624 - -22289. Calculate the remainder when 698 is divided by d.
33
Let j(h) = h**2 + 4*h. Let l be j(-4). Suppose l*g = -w + 3*g - 312, 922 = -3*w + 2*g. Let o = w + 454. What is the remainder when o is divided by 25?
23
Let l(j) = -j**3 - 98*j**2 - 191*j + 521. Calculate the remainder when l(-96) is divided by 54.
47
Suppose -6*c + 5*c + 52 = 0. Suppose u + 2*w - 104 = -3*u, -2*u - 3*w = -c. What is the remainder when 233 is divided by u?
25
Let y(j) = -80 - 33*j + 5*j + 7*j. What is the remainder when (-3)/(8/10 + -1) is divided by y(-4)?
3
Suppose 13*k = 12*k + 15. Suppose b = 19 - k. Calculate the remainder when (4 + b + -7)*(-3 + 26) is divided by 5.
3
Suppose -5*p = 8*y - 6*y - 1647, 2*y + 3*p = 1641. Calculate the remainder when y is divided by 4.
0
Let t be ((-320)/(-12))/(-4)*(-2 - 1). Let i(w) = w**3 - 21*w**2 + 21*w + 3. Suppose -14*u + 15*u = 9. What is the remainder when i(t) is divided by u?
5
Let d be -1 + -1 + 2 + -4. Let w(n) = n**3 + 43*n**2 + 40*n - 35. Calculate the remainder when w(-42) is divided by (d/(-6))/((-4)/(-102)).
15
Let c = 260 + -428. Let k = c - -179. What is the remainder when 51 is divided by k?
7
Suppose 33*f = 28*f + 4*j + 126, -46 = -3*f - 5*j. Calculate the remainder when f is divided by (4/(-5))/((-4)/80).
6
Let k = -9 + 15. Suppose 0 = -4*b - 5*v + 238 + 891, 5*v = -2*b + 557. Let h = b + -281. Calculate the remainder when k is divided by h.
1
Let s = 8306 + -8290. Calculate the remainder when 68 is divided by s.
4
Suppose -3441 = -4*w + 4*t - 3321, -178 = -5*w - 2*t. Calculate the remainder when 44*(-3)/((-6)/23) is divided by w.
30
Suppose -2*z + 32 = q, -7*q = -9*q + 3*z + 64. Suppose 40*f - 104 = q*f. Calculate the remainder when 68 is divided by f.
3
Suppose 0 = -5*t - 15*t + 560. Suppose -q = 4, 0 = 3*x + 3*q + 30 - 171. What is the remainder when x is divided by t?
23
Let j(q) = -q**3 + 7*q - 2. Let z be j(-3). Let n be (0 + 0 - 4) + z. Suppose n = -5*x + 5, -f - 21 = -2*x - 69. What is the remainder when f is divided by 17?
16
Suppose 10*a = -4*t + 14*a + 2140, 4*a - 2702 = -5*t. What is the remainder when t is divided by 180?
178
Let v = -11547 - -11687. What is the remainder when 578 is divided by v?
18
Let c(v) = v**2 + 9*v - 8. Let s(y) = y**3 + 6. Let t be s(0). Let i(g) = g**2 - 545*g - 7233. What is the remainder when c(t) is divided by i(-13)?
19
Let s be (-2 + (-292)/10)/((-16)/120). Suppose -14*l + s = 4*l. Let i(w) = -w**3 - 8*w**2 - 9*w + 4. Calculate the remainder when i(-8) is divided by l.
11
Let n(t) = -6*t**3 - 3*t**2 - 8*t - 6. Let f be n(-2). Suppose -f*x + 13364 = 4854. Calculate the remainder when x is divided by 21.
17
Let m(v) = 107*v + 1797. What is the remainder when m(-16) is divided by 26?
7
Let f(l) = 8*l**2 - 32*l - 99. What is the remainder when 168 is divided by f(-3)?
30
Let b(q) = -6*q**3 + 26*q**2 - 31*q - 70. Calculate the remainder when b(-14) is divided by 19.
17
Suppose -3*j + 4*n = -98, 14*j - 10*j + 5*n = 79. Let c(y) = 7*y - 10. Let m be c(8). Suppose -m + 421 = 5*f. What is the remainder when f is divided by j?
23
Suppose 71 = h + 3*d, -d - 29 = -h + 6. Let l = 2149 + -1139. Calculate the remainder when l is divided by h.
42
Calculate the remainder when (-16700)/(-120) + (-10)/60 is divided by 124/6 - 2/3.
19
Let i = 24 + -17. Let u = -116 - -114. What is the remainder when (3 - (-5 - u))*18/4 is divided by i?
6
Suppose -2*t = -3*w - 48, 41*w + 129 = 5*t + 38*w. Let j = 318 + -219. What is the remainder when t is divided by 2/9 + 572/j?
3
Let a be 30 + 1/(6/18). Suppose 0 = -3*z, 0*p - p - 2*z + a = 0. What is the remainder when p is divided by 12?
9
Let j(n) = n**3 - 8*n**2 - 14*n - 4. Let q = 70 - 60. Let r be j(q). What is the remainder when 1*(r - 9/3) is divided by 9?
8
Let s(g) = g**3 - 10*g**2 + 30*g - 8. What is the remainder when s(7) is divided by 5?
0
Let p(f) = 24*f + 172. Let x(u) = u**3 + 7*u**2 - 4*u - 3. Let h be x(-7). Suppose 3*t + 2*t - h = 0. What is the remainder when t is divided by p(-7)?
1
Let z = 18667 - 18662. What is the remainder when 54 is divided by z?
4
Let s be 11/88 + (-649)/8. Let w = 79 + s. What is the remainder when (176/(-20))/(w/5) is divided by 13?
9
Let a = 10056 + -9352. Calculate the remainder when a is divided by 34.
24
Suppose -5*t + 5*y + 100 = 0, -10 + 38 = t - 3*y. What is the remainder when 277 is divided by t?
5
Let a(r) = r**2 + 9*r - 32. Let j(z) = z**2 + 10*z - 33. Let b(h) = 4*a(h) - 3*j(h). Calculate the remainder when b(-13) is divided by 33.
29
Calculate the remainder when (120 - -38 - 1/1) + (5 - 0) is divided by 7.
1
Let l = 231 - 213. Suppose -l*y = -96 - 354. Calculate the remainder when 48 - ((0 - 0) + -1) is divided by y.
24
Let a = -93 + 95. Suppose -a*j - 32 = -10*j. Suppose -j*i - 2 = -54. What is the remainder when 37 is divided by i?
11
Suppose -26*f + 3455 = -17345. Suppose -12*x + 592 = -f. What is the remainder when x is divided by 38?
2
Suppose -1018*s + 1000*s - 242 = -2546. Calculate the remainder when 352 is divided by s.
96
Let d be 3 - (7 + -5 + 1). Suppose d = -17*k + 22*k - 70. Calculate the remainder when 64 is divided by k.
8
Let c = 813 + -511. Suppose -163 = -2*t - o, 154*o = 4*t + 157*o - 335. What is the remainder when c is divided by t?
71
Suppose -28 = k - 15*k. Calculate the remainder when k/7 - 198/42*-15 is divided by 26.
19
Suppose 36*g - 37*g + z = -67, 4*g = z + 271. Calculate the remainder when 199 is divided by g.
63
Let q = 18 - 15. Let j be 3 + 0 - (-67 + q). Suppose -2*h = -7*h + 25, 3*t + 5*h - j = 0. What is the remainder when 25 is divided by t?
11
Let q = 98447 - 98393. Suppose -3*w + 3 = -477. What is the remainder when w is divided by q?
52
Suppose 2155 = 5*t - 5*r, -2*t = -3*t + 4*r + 428. What is the remainder when 433 is divided by t?
1
Suppose 8*l = 2*l + 24. Suppose 5*f + 7 - 2 = 0, -l*f = -2*n + 94. What is the remainder when n is divided by 23?
22
Let u = -937 + 883. Calculate the remainder when (-1)/((-1)/8)*4 is divided by u/6 - -13 - -3.
4
Let z = 22 - 15. Let y be 4 + (28 - 2/1). Suppose -y = -m + 31. What is the remainder when m is divided by z?
5
Suppose 676 = -87*t + 2851. Calculate the remainder when 3499 is divided by t.
24
Suppose -2667 - 3836 = -72*o - 887. Calculate the remainder when 623 is divided by o.
77
Let x(w) = -2*w + 4*w**2 - 1 + 0 + w**2 + 0. Let u be 3/18 + (55/30 - -1). What is the remainder when 111 is divided by x(u)?
35
Let c(n) = -2*n + 186. Calculate the remainder when 239 is divided by c(55).
11
Let t(r) = -r**3 - 5*r**2 + 2*r - 6. Let f be ((-1)/(-3)*-4)/(22/132). Calculate the remainder when t(f) is divided by 9.
8
Let r = 2704 + -2652. Calculate the remainder when 69 is divided by r.
17
Let p(t) = -14*t - 13. Let c be p(9). Let z = c + 139. Suppose -4*h + h + 72 = -5*w, w - 3 = z. Calculate the remainder when 172 is divided by h.
27
Calculate the remainder when (4/(-52) - 640/5200)*-725 is divided by (-2)/(-3)*(-258)/(-4).
16
Let x = -397 - -445. Let i = 5 - 1. Suppose x = -q + i*q. What is the remainder when q is divided by 3?
1
Suppose -2*j - 4*r + 34 = 0, 0*r = -3*j - r + 26. Suppose -2*d = 3*d - 550. Suppose 0 = -9*y - y + d. What is the remainder when y is divided by j?
4
Let n(i) = -1371*i - 28775. Suppose -5*p = -t + 9, p - 165 = -5*t + 2*p. Calculate the remainder when t is divided by n(-21).
2
Let g = -2186 + 2200. Calculate the remainder when g is divided by 10.
4
Let v(n) = n**2 + 44*n + 501. Let j be ((-2)/(-3))/(3/9). Suppose c - j - 33 = 0. Calculate the remainder when c is divided by v(-23).
17
Suppose 0 = -17*c + 20*c - 18. Suppose 0 = 4*o - 4*w - 232, -o + c*o = -3*w + 322. What is the remainder when o is divided by 13?
10
Let u(a) be the second derivative of 81*a**5/20 - a**4/6 + a**3/3 + a**2/2 + 10*a. What is the remainder when u(1) is divided by 43?
39
Let p = -38 + 45. Suppose 18*r - 14*r - 16 = 0. Calculate the remainder when 72 is divided by r/14 - p/((-196)/692).
22
Suppose 4*i - j + 44 = 205, 5*j = i - 45. Calc