 32. Calculate the remainder when 126 is divided by i.
14
Let p = 79 + -48. Let v(t) = -t**2 - 6*t + 11. Let x be v(-7). Suppose -5*n + 102 = l, -n = x*l + 3*n - 376. Calculate the remainder when l is divided by p.
30
Let y = 257 + -198. What is the remainder when y is divided by 4 - (4 - (-15)/(-1))?
14
Suppose 18*v - 336 = 294. Suppose v*r = 6 + 274. Suppose -805 = -5*p - 4*x, -143 - 177 = -2*p - 2*x. Calculate the remainder when p is divided by r.
5
Suppose 17*j + 61262 = -206182. Calculate the remainder when 4/(-22)*1 - j/253 is divided by 18.
8
Let a(x) = x**2 - 34*x + 319. Let o(s) = -s**3 + 5*s**2 + 46*s - 184. Let z be o(4). Let k(j) = 3*j - 7. Calculate the remainder when a(z) is divided by k(5).
7
Suppose -5*l = -3*j + 30, 5*l + 50 = -49*j + 54*j. Calculate the remainder when 687 is divided by j.
7
Let k(b) = -3*b + 6. Let i = 4 - 10. Calculate the remainder when k(i) is divided by 3 - (14/(-6) + 20/(-12)).
3
Let f(d) = -d**2 + 4*d + 26. Let b be f(-4). What is the remainder when 45/18 - 249/b is divided by 24?
20
Suppose -36*m - 205 = -41*m. What is the remainder when 671 is divided by (6/4 - 1) + m/2?
20
Suppose -81 = 61*u - 316 - 314. Let c(v) = 6*v**2 - 2*v + 3. What is the remainder when c(4) is divided by u?
1
Suppose -666*k - 3*n = -668*k + 671, 0 = 5*k + 3*n - 1646. Calculate the remainder when k is divided by 34.
25
Let c(d) = d**3 - 11*d**2 + 25*d - 2. Calculate the remainder when 3136 is divided by c(8).
4
Suppose 3352 = -10*k + 3572. Calculate the remainder when 6487 is divided by k.
19
Let g(k) = -5*k**3 - 56*k**2 - 15*k + 76. Calculate the remainder when g(-11) is divided by 3.
0
Calculate the remainder when 491 is divided by (26 - 10)/(-4) + 15.
7
Let w = -1301 - -1302. Let j(k) = 9*k + 30. Suppose -8*q + 50 = -3*q. What is the remainder when j(w) is divided by q?
9
Suppose -8366*g + 36567 = -8315*g. Let m(l) = -12*l. Calculate the remainder when g is divided by m(-1).
9
Suppose -2*u + 5*c = 10, -3*u = -4*c + 2*c - 7. Suppose h + v - u = -2*v, 50 = 3*h + 2*v. Calculate the remainder when 31 is divided by h.
11
Let c(i) = 4*i**2 + 5*i - 5. Let j be c(-5). Suppose -510 = -j*f + 64*f. Calculate the remainder when 1358 is divided by f.
83
Let u = -15396 - -15821. Calculate the remainder when u is divided by 417.
8
Let n = -42 + 212. Suppose 24*c + n = 29*c. Calculate the remainder when c is divided by 6.
4
Suppose -3*i = -5*o + 34 - 9, 0 = 2*o - 5*i - 10. Suppose -29 = -o*z - j, -3*z - 7*j + 4*j + 15 = 0. Calculate the remainder when 12 is divided by z.
0
Let u = 6667 - 6557. What is the remainder when u is divided by 53?
4
Suppose -3*y + 3*r = -645, 1 - 16 = -3*r. Let k = -104 + y. Calculate the remainder when k is divided by 9.
8
Let u = 974 + -526. Suppose -4*k = -604 + u. Calculate the remainder when 1441 is divided by k.
37
Let p(c) = c**3 - 7*c**2 + 18*c - 56. Calculate the remainder when 330 is divided by p(6).
10
Suppose -7 = -s - 4, -k = -5*s - 225. Suppose -5*w = -3*m + 187, -89*m - k = -93*m + 2*w. What is the remainder when m is divided by 37?
22
Suppose 44206 = 20*t - 4094. What is the remainder when t is divided by 78?
75
Suppose -r + 27 = -0*r + 2*h, 5*r - 2*h - 123 = 0. Calculate the remainder when 112 is divided by r.
12
Let n = 1632 - -1938. Suppose 4*h - 2832 = -4*g, -13*g = -18*g + h + n. What is the remainder when g is divided by 17?
16
Let r(z) = -235*z**2 + 2148*z - 24. Calculate the remainder when 10098 is divided by r(9).
270
Let c = -5841 - -5946. Calculate the remainder when 3881 is divided by c.
101
Let s = 135 + -130. Suppose -19 = x - v - 242, -s*x + 1110 = -4*v. Calculate the remainder when x is divided by 11.
9
Let k(r) be the third derivative of -r**6/120 - 7*r**4/24 - 9*r**3/2 + 2*r**2 - 20*r. What is the remainder when 82 is divided by k(-4)?
17
Suppose 90 = -2*x + 6*x - 3*n, 0 = 2*x + n - 40. Let r(p) be the third derivative of -p**4/8 - p**3 - 5*p**2. What is the remainder when x is divided by r(-4)?
3
Let p be 3/12 - 518/(-8). Let o = -563 + 507. Let b = o + p. Calculate the remainder when 22 is divided by b.
4
Let y(j) = j**3 - 21*j**2 - 195*j - 22. What is the remainder when 15023 is divided by y(28)?
5
Let b(z) = z**3 + 7*z**2 - 5*z - 13. Let w be b(-8). What is the remainder when 158 is divided by (w/(-22) - (-8)/(-44))*34?
5
Suppose -3*x + 139 + 51 = u, 0 = -5*u - 40. Calculate the remainder when 484 is divided by x.
22
Suppose -45 = 4*w - 13. What is the remainder when 6/w*(144*-1 - 4) is divided by 28?
27
Let d be (-1)/((-1526)/(-11102) + 4/(-26)). Suppose 5*m = -10, 2*g - 4*m - d = 101. Suppose -1 = -4*k + 51. What is the remainder when g is divided by k?
12
Suppose -3*t + 689 = 194. Calculate the remainder when 108 is divided by (22/(-6))/(154/t - 1).
53
Let y = 2552 + -2367. Calculate the remainder when 752 is divided by y.
12
Let g(m) = 146*m**2 + 70*m - 241. Calculate the remainder when g(5) is divided by 94.
93
Let w(i) = i**2 + 5*i + 3. Let a = -366 + 489. Suppose -3*d - a = -4*l + l, 73 = 2*l + d. What is the remainder when l is divided by w(-6)?
2
Let x = 141 + -71. What is the remainder when x is divided by 7 - (2/10 + (-836)/55)?
4
Let j(i) = i**3 + 19*i**2 + 32*i - 8. Let u be -1*((-2)/(-10) + (-330)/25). Let w be 1*(-223)/u + 2/13. What is the remainder when j(w) is divided by 11?
4
Let r(h) = -h**3 + 7*h**2 - h + 2. Let k(t) = t**2 - 14*t + 29. Let z be k(12). Calculate the remainder when r(z) is divided by 28.
19
Suppose j - 3*j = -7*j + 70. What is the remainder when 725 is divided by j?
11
Let k(c) = 99*c**2 + 13*c + 18. Calculate the remainder when k(-3) is divided by 123.
9
Let c(x) = 103*x**2 - 10*x - 14. What is the remainder when c(4) is divided by 55?
54
Let j = 439 + -448. Let u(b) = -2*b**2 - 17*b + 31. What is the remainder when 306 is divided by u(j)?
20
Let k(m) = -m**3 - 9*m**2 + 11*m - 8. Let f be k(-10). Calculate the remainder when f/(-108) - 1/(18/(-8007)) is divided by 16.
13
Let h = 161 + -167. Let o(t) = -4*t + 15. What is the remainder when o(h) is divided by 9?
3
Suppose 0 = -9*p + 769 - 652. Suppose g - 457 = -4*r, -2*r - r + 344 = g. What is the remainder when r is divided by p?
9
Let p = 8 - 3. Suppose -r - 59 = -p*b + 3*r, b + 5*r = 35. Suppose 5*y = -16 - 4, -5*y - 258 = -2*m. What is the remainder when m is divided by b?
14
Let k(g) = -g**3 - 8*g**2 + 29*g + 250. What is the remainder when 3199 is divided by k(-8)?
13
What is the remainder when (1557 - -2) + -22*18/36 is divided by 381?
24
Suppose -224*t - 276888 = -307*t. Calculate the remainder when t is divided by 476.
4
Let q = 44 + -42. Suppose 3*t = q*b + 137, -3*b = 5*t - b - 239. Calculate the remainder when 181 is divided by t.
40
Suppose 15338 = 56*s + 12370. Calculate the remainder when (-2 - 0)*126/(-4) is divided by s.
10
Suppose -4*p - 4 = -4*v, -5*p + 4*p + 4*v = 7. What is the remainder when p is divided by 1/2 + (9 - (-153)/(-18))?
0
Let c(x) = -27*x + 238. What is the remainder when c(8) is divided by -2 + -1 + (-42)/(-2)?
4
Let z(f) = f**2 + 2*f + 12. Let q = -1 + 37. Suppose -q = -t + 7*t. What is the remainder when z(t) is divided by 11?
3
Let u(y) = -y**2 + 19. Calculate the remainder when 12/(288/1128) + -12 + 2/2 is divided by u(0).
17
Let b = 11980 + -11340. Calculate the remainder when b is divided by 8.
0
Let c(h) = 2*h - 70. Calculate the remainder when 349 is divided by c(76).
21
Let x = 138 + -7. Let u = 171 - x. Calculate the remainder when (-1264)/40*-5*1 is divided by u.
38
Calculate the remainder when 1119 is divided by 1816/4540 + 356/(-10)*(-124)/4.
15
Suppose -2*a + 4*u = 21 - 47, u = -4*a + 70. Calculate the remainder when 179 is divided by a.
9
Let r = 18336 + -18264. Calculate the remainder when 1336 is divided by r.
40
What is the remainder when 2874 + -4 + 3 - -6*(-15)/90 is divided by 49?
30
Let v = 3896 - 3848. What is the remainder when v is divided by 33?
15
Calculate the remainder when 6881 is divided by ((-363)/484 + (-1 - 9/(-4)))*10.
1
Let r = 3347 - 2991. Calculate the remainder when r is divided by 70.
6
Suppose 0 = -4*d + 2*a + 76, 46 + 63 = 5*d + a. Suppose -d = -3*r - 3*y, -r - 2*y - 10 + 12 = 0. Calculate the remainder when 128 is divided by r.
8
Suppose 141*w - 183 = 99. What is the remainder when (-393)/(-6) + 12/8 is divid