 -12 - -20. Let y(f) = 13*f - 122. Let w be y(20). Let m = -125 + w. Calculate the remainder when m is divided by i.
5
Calculate the remainder when 4009 is divided by 120/(-220) + (-4940)/(-143).
31
Let k(p) = -4*p**3 + 18*p**2 - 4*p + 42. Let a(d) = -9*d**3 + 37*d**2 - 8*d + 83. Let z(u) = 3*a(u) - 7*k(u). What is the remainder when 78 is divided by z(15)?
3
Let f(j) = -24*j**3 + 5*j**2 - 14*j - 18. What is the remainder when f(-3) is divided by 48?
45
Let t be (9 + -11)*(-22)/4. Let g(z) = z**2 - 10*z + 16. Calculate the remainder when 14/(-3)*132/(-8) is divided by g(t).
23
Suppose -7*u = -3*u - 5*o - 318, -4*o + 336 = 4*u. Calculate the remainder when 133 is divided by u.
51
Let g = 12534 + -12489. Calculate the remainder when 321 is divided by g.
6
What is the remainder when (-6 - -2)/(11*(-12)/10560) is divided by 100?
20
Let b(v) = -120*v + 1699. Calculate the remainder when 1021 is divided by b(14).
14
Suppose 1276 = -189*p + 211*p. What is the remainder when 579 is divided by p?
57
Let y(c) = 8*c**2 - 2*c + 34. Let l be y(-5). Suppose l = 9*f - 62. Calculate the remainder when f is divided by 2 + (0 - -4)/4.
1
Let n(b) = 10*b. Suppose -11*q = -1499 - 173. Suppose 30*a - 38*a = -q. What is the remainder when a is divided by n(1)?
9
What is the remainder when 439 - (13 - (25 + -5)) is divided by 93?
74
Suppose -o - 4*o - 2*z + 335 = 0, 110 = 2*o - 4*z. Calculate the remainder when 320 is divided by o.
60
Suppose -4*d = -4*o - 504, 0 = d + d - 5*o - 246. Let t = d - 29. Suppose 3*k - t - 46 = -5*g, 3*k = -2*g + 157. What is the remainder when k is divided by 19?
17
Suppose 110*m + 4752 = 13332. Calculate the remainder when m is divided by 62.
16
Let l be 26/(-22) - (627/(-121) + 5). Calculate the remainder when (l - 0)*1*(-23 - 8) is divided by 28.
3
Suppose -4*i = 5*j - 133, 54*i = -j + 49*i + 35. Calculate the remainder when 1422 is divided by j.
22
Let s(o) = -o**2 - 8*o + 9. Let j(g) = -g**2 - 3*g + 5. Let b(h) = -5*j(h) + 2*s(h). Calculate the remainder when b(3) is divided by -6*((-4)/8 - 1).
8
Let m(o) = o - 27. Let p be m(11). Let g = 19 + p. What is the remainder when 121 is divided by (50/(-4) - g)/(5/(-10))?
28
Suppose 3*z - 156 = -3*l, 4*l - 201 = 4*z + 63. Calculate the remainder when l is divided by -1 - -2 - -11*1.
11
Suppose -2*h = -4*j - 38, -3*h + 0*j + 51 = -4*j. Suppose 168 = 10*v - h*v. Let q = v - -80. What is the remainder when 143 is divided by q?
23
Suppose 72 = 14*o - 13*o + 2*u, 2*u = -2. Let r = 31 - 6. What is the remainder when o is divided by r?
24
Suppose -116*b + 7957 = 649. Calculate the remainder when b is divided by 14.
7
Let o(u) be the third derivative of u**6/24 - u**5/6 + u**4/6 - u**3/3 + 19*u**2. Suppose -28 = -3*h + 14. Calculate the remainder when h is divided by o(2).
2
Suppose -4*n - h - 347 = -1904, 0 = 4*n + 3*h - 1551. Calculate the remainder when n is divided by 38.
10
Let v = 1933 - 1374. Let q = -466 + v. What is the remainder when 927 is divided by q?
90
Let w = 64 + -61. Suppose f = 1, -w*l + 11*f + 51 = 14*f. What is the remainder when 30 is divided by l?
14
Suppose 0 = 27*n - 25*n - 34. Suppose 4*x = 759 + 373. Calculate the remainder when x is divided by n.
11
Suppose 1763 - 7566 - 5495 = -269*a. Calculate the remainder when 1241 is divided by a.
23
What is the remainder when (-7430)/(-190) + (-2)/19 is divided by 6?
3
Let c(p) be the first derivative of -24*p**2 - 28*p + 18. Calculate the remainder when c(-3) is divided by 51.
14
Suppose j - 3*i - 2016 = -2*j, -4*i = 4*j - 2752. Calculate the remainder when j is divided by 94.
22
Calculate the remainder when 903 is divided by 0 + 0 + (32 - 256)/(-14).
7
Suppose 0 = -2*s + 2*v + 86, 0 = s + 2*v - 4*v - 43. Suppose 0 = -10*g + 235 + 335. Suppose -g*p = -56*p - 169. Calculate the remainder when p is divided by s.
40
Let s(c) = -c**3 - 27*c**2 - 25*c + 22. Let p be s(-26). Let i(t) = -8*t - 19. Calculate the remainder when 51 is divided by i(p).
12
Let a(d) = 76*d - 1628. What is the remainder when a(30) is divided by 159?
16
Let u = 7 + 11. Let s(y) = -y + 15. Let g be s(u). Calculate the remainder when (33/12)/(g*5/(-1980)) is divided by 61.
58
Let k be 10/20 + 2/(-4). Suppose k*f = 5*f - 75. What is the remainder when 70 + (-3)/(-15) + 72/40 is divided by f?
12
Let u = -2 + 5. Suppose 133 - 679 = -u*i. What is the remainder when i is divided by (-2)/(-2)*(-184)/(-8)?
21
What is the remainder when 339 is divided by (1 + -2)*(-2)/1 + (-30284)/(-226)?
67
Let h(f) = 54*f**2 - 5*f + 16. Let n be h(3). Suppose -n*k - 220 = -491*k. Calculate the remainder when k is divided by 19.
17
Suppose 2*d - t - 3146 = 2750, -2*d = 4*t - 5876. What is the remainder when d is divided by 246?
240
Suppose 3*a - 3671 = -f, 0*f - 3687 = -3*a - 3*f. What is the remainder when a is divided by 202?
9
Let k(z) = 420*z - 4329. What is the remainder when k(11) is divided by 35?
11
Let f be (-18)/(54/(-12)*8/(-18)). Calculate the remainder when (45/25)/(f/(-120)) is divided by 15.
9
What is the remainder when (((-38)/(-57))/(8/6))/(3/8058) is divided by 649?
45
Let j = -8643 - -8683. What is the remainder when 145 is divided by j?
25
Let t(u) = 32*u**2 + 2*u**3 - 52 + 2*u**3 + 430*u - 459*u - 5*u**3. Calculate the remainder when (0 + 30)*(-6)/(-5) is divided by t(31).
6
Let l = 90 - 69. What is the remainder when (-3 + -47)*8*3/(-15) is divided by l?
17
Let b(z) = 104*z**3 - 1144*z**2 + 7*z + 13. What is the remainder when b(11) is divided by ((-16)/10)/(2/(-40))?
26
Suppose -40 = 73*q - 75*q. Let w(i) = 2*i**3 - 7*i**2 - 5*i + 9. Let u be w(6). Suppose u - 48 = 3*o. What is the remainder when o is divided by q?
17
Calculate the remainder when (-2 - 14/(-6))/(90/(-270))*-9757 is divided by 160.
157
Let a(o) = 133*o**3 + 3*o**2 + o - 6. Let w(z) = -133*z**3 - 3*z**2 - z + 7. Let v(h) = 4*a(h) + 3*w(h). What is the remainder when v(1) is divided by 5?
4
Let p = 55 - 52. Suppose 0 = p*t - u - 18, -u + 4*u = -9. Suppose 0 = -8*g + 76 + 84. Calculate the remainder when g is divided by t.
0
Let b = -230 - -293. What is the remainder when 1 + 133 + (-14 - -10)/1 is divided by b?
4
Suppose -16*y - 4*y + 14291 = 11*y. Calculate the remainder when y is divided by 42.
41
Suppose 13*t - 718 = -4*i, -4*t - i - 11 = -231. What is the remainder when t is divided by 49?
5
Let x = -495 + 1061. Let y = x + -553. Suppose 2*m - 54 = -12. Calculate the remainder when m is divided by y.
8
Let a = 3311 - 3103. Calculate the remainder when a is divided by 9.
1
Calculate the remainder when 188 + (1 + 6 - 7) is divided by 85.
18
Suppose 4*b - 29 = 14 + 37. Calculate the remainder when 554 is divided by b.
14
Let x(m) = 30*m - 66. Let g be x(3). Suppose -57*n + 99 = -g*n. Calculate the remainder when ((-2)/(-4))/((-2)/(-36)) is divided by n.
0
Let o = -33 - -52. Let i = 163 - o. Let h = i - 22. Calculate the remainder when h is divided by 42.
38
Suppose -3*m - 3 = 0, -190*q = -187*q + 3*m - 6924. Calculate the remainder when q is divided by 8.
5
Let d(i) = i**3 + 14*i**2 + 33*i - 157. Calculate the remainder when d(5) is divided by 10.
3
Let r(z) = -53*z - 287. Let w be r(-6). Suppose 0 = -19*k + w*k - 948. Calculate the remainder when k is divided by 8.
7
Calculate the remainder when (27300/200)/(6/4) is divided by 9.
1
Suppose 0 = -5*d + 19*d - 5911 + 5519. Calculate the remainder when 193 is divided by d.
25
Suppose 7*s - 10*s = 4*x - 1497, -7*s = -x + 351. Calculate the remainder when x is divided by 44.
20
Suppose 0 = -3*i - 2*o + 23775, -15848 = -210*i + 208*i - o. What is the remainder when i is divided by 139?
137
Let f be 6/4 + (-20776)/112. What is the remainder when 252 is divided by f/16*3*(-4)/6?
22
Let s(c) = 2*c - 37. Let u(z) = 6*z - 109. Let r(n) = 14*s(n) - 4*u(n). Calculate the remainder when 394 is divided by r(25).
16
Let o = -1056 + 1612. Suppose -o = -4*n + 2*t - 202, -12 = 4*t. Calculate the remainder when n is divided by 13.
9
Suppose -126 = 12*j - 618. Let d = -595 + 744. What is the remainder when d is divided by j?
26
Let x = -17962 - -18845. Calculate the remainder when x is divided by 131.
97
Suppose 3*p + 4*t - 9 - 26 = 0, 4*p + 2*t = 50. What is the remainder when 50 is divided by 10 - (2/p + (-164)/52)?
11
Let f = 276 - 227. Suppose -8*b + f = -47. Wh