z. Calculate the remainder when 1333 is divided by z.
57
Suppose -9*i + 24*i - 30 = 30. Suppose -46 = -4*y + 3*p, 5*p + 58 - 16 = 4*y. Calculate the remainder when y is divided by i.
1
Suppose -v - 9 = -2*z - 33, -48 = 4*z + 5*v. Calculate the remainder when ((-67)/(-5))/(z/(-60)) is divided by 15.
7
Suppose t - 11 - 3 = 3*l, -3*t - 2*l + 42 = 0. Calculate the remainder when 100/(-3)*(-6)/(-48)*-6 is divided by t.
11
Suppose 0 = 4*j + 24 - 8. Suppose 33 + 8 = z + 4*f, 130 = 5*z + 5*f. Let w = z - j. Calculate the remainder when 98 is divided by w.
23
Let b = -25198 + 25200. Suppose -6*h - 4*s = -h - 42, 4*s + 58 = 5*h. What is the remainder when h is divided by b?
0
Let z(l) = -94*l - 3063. Suppose 16 = 3*n - 2. Calculate the remainder when 4/n + 669/9 is divided by z(-33).
36
Suppose -33*q + 36*q + 5*j = 328, j = 2*q - 197. What is the remainder when 1514 is divided by q?
100
Suppose w = -4*z + 3, z - w + 0 = -3. Suppose z*t - 93 = -t. Let s(f) = -2*f**3 + 40*f**2 + 45*f - 31. Calculate the remainder when t is divided by s(21).
29
Calculate the remainder when (-16)/40 + (-62)/(-5) is divided by (-27 - -38) + 5/(30/(-42)).
0
Let h(v) = 3*v**2 - 13*v + 8. Let q = 8 + -6. Calculate the remainder when (31/(-2))/((-1)/q) is divided by h(5).
13
Suppose 17*f = -4*p + 27*f + 46, -3*f = -3*p + 39. Let o(j) = 6*j**2 + 2*j - 3. What is the remainder when o(2) is divided by p?
11
Let s = 716 + -881. Calculate the remainder when 169 is divided by (-38 - -36)*s/6.
4
Let n = 23 - 20. Let r be 0 + 2 - (-24)/n. Let p(h) = -h**3 + 10*h**2 + 8*h - 1. What is the remainder when p(r) is divided by 27?
25
Let i(b) = 6*b**2 + 25*b - 10. Let o(u) = -u**2 - 14*u + 16. Let p(j) = 3*j - 4. Let y be p(-3). What is the remainder when o(y) is divided by i(-5)?
14
Let w be (5*4/60)/(1/6). Let p be (w/(-3))/((-1)/(-330)). What is the remainder when 49 is divided by (p/132)/((-2)/12*1)?
9
Let w be 9/(2/10*35/14). Suppose 2*x - 11 = 7. Suppose 3*o - x = w. What is the remainder when 35 is divided by o?
8
Let q(j) = 2*j**3 - 8*j**2 - 22*j + 286. Calculate the remainder when q(8) is divided by 79.
69
Suppose -q - 9*v + 12 = -6*v, 5*q - 20 = 5*v. Let b = 138 + -43. Suppose -3*u + 0*u - 2*k = -305, -k - b = -u. Calculate the remainder when u is divided by q.
3
Let s(w) = -2*w**3 - 47*w**2 - 7*w + 44. Let m be s(-23). Let p = 442 + m. Calculate the remainder when p is divided by 17.
16
Let z(b) be the first derivative of -b**4/2 - 4*b**3/3 + 2*b**2 + b + 4. Let y = -578 - -604. What is the remainder when z(-4) is divided by y?
23
Let d be (0 - -1) + 27/(-3). Let y = d + 20. Let a(p) = -2*p**3 - 76*p**2 + 333*p - 43. What is the remainder when a(-42) is divided by y?
11
Suppose 0 = -20*b - 936 - 584. Let u = b + 205. Calculate the remainder when u is divided by 27.
21
Calculate the remainder when -2*(2077136/(-224) - 8/14) is divided by 81.
79
Let n(l) = 2*l**2 + 18*l - 210. What is the remainder when 641 is divided by n(8)?
21
What is the remainder when ((6 - (-20)/(-4))*7)/(9/333) is divided by 48?
19
What is the remainder when 95270/280 - (-9)/12 is divided by 57?
56
Suppose 67*f - 118*f + 867 = 0. What is the remainder when 953 is divided by f?
1
Let r = -12 + 21. Let m = -206 - -200. Let u(h) = -5*h + 5. Calculate the remainder when u(m) is divided by r.
8
Suppose 4*u = 14*u - 540. Let o be 6654/u - (-4)/(-18). Let j = o - 85. Calculate the remainder when j is divided by 13.
12
Let m(i) = 179*i - 49. Let c be m(-2). Let t = c + 424. Calculate the remainder when 302 is divided by t.
13
Suppose 3*k - 12 = -0*k. Suppose d + f - 91 = 0, 0*d + 3*d + k*f = 277. Calculate the remainder when d is divided by 31.
25
Let v(r) = -11*r + 24. Let s be v(-2). Suppose 0 = 199*k - 197*k - s. Calculate the remainder when 44 is divided by k.
21
Suppose 3*a - 2*h - 48 = -9, 4*h = 0. Suppose 5*l = -l + 24. What is the remainder when 284/16 + (-3)/l is divided by a?
4
Suppose -7*g + 5*g + 296 = 0. Let w = g - 125. Calculate the remainder when w is divided by 13.
10
Let i = -5 + 9. Suppose -20*q = -25*q + 15, 5*f - 111 = -2*q. What is the remainder when f is divided by i?
1
Suppose -3*q + 2724 = 3*d - 36, -2*q + 1868 = -2*d. What is the remainder when q is divided by 445?
37
Suppose -15*u + 1411 = 946. What is the remainder when u is divided by 20?
11
Suppose -2652 = 100*c - 13552. Calculate the remainder when c is divided by 4.
1
Calculate the remainder when 263 is divided by 0*12/120 - -84.
11
Suppose p = -z - 53, -2*z - 53 - 52 = 3*p. Let w = z + 86. Suppose -23 = -3*l + 10. What is the remainder when w is divided by l?
10
Suppose 4*s = -2*r - 18, 140*r - 2 = -4*s + 142*r. Let h(m) = -18*m - 5 - m + 0*m. Calculate the remainder when h(s) is divided by 12.
9
Let t be (5/15)/(1/(-9)). Let y be (-20)/(-15) - (-4)/t. Suppose 3*h - 5*c - 30 = 180, y = 2*h - 2*c - 136. What is the remainder when h is divided by 17?
14
Suppose 5*z = -4*z - 0*z + 3150. What is the remainder when z is divided by 56?
14
Let w(l) = l**3 + 12*l**2 - 2*l - 17. Let f = 1252 + -1243. Calculate the remainder when f is divided by w(-12).
2
Suppose 0*i + 63 = -i + 128. Calculate the remainder when 71 is divided by i.
6
What is the remainder when (-32 - -16) + 1468 + 8 - (6 + -1) is divided by 43?
36
Let g(s) = 3*s**2 + 12*s + 5. Let j be g(-5). Let x(l) = 7*l - 26. Calculate the remainder when x(j) is divided by 23.
22
Let v(j) = -462*j - 2174. Calculate the remainder when v(-22) is divided by 36.
34
Let p = 616330 - 616297. Let c = 7 + -4. What is the remainder when p is divided by c?
0
Let o be (-48)/((0 - 1) + 3 + -1). Let h be 21/4 - (-12)/o. Suppose -9 = -h*b - 29, -2*k + 12 = 2*b. Calculate the remainder when 18 is divided by k.
8
Suppose 0 = 9*b - 22*b + 1430. Suppose -16*z + b = -242. What is the remainder when 35 is divided by z?
13
Let t(b) = b**3 - 30*b**2 + 39*b - 43. Calculate the remainder when t(33) is divided by 105.
101
Let g be 3/(-12) + 1/4. Suppose 2*f + g*y = 3*y - 8, -3 = -f - 2*y. Calculate the remainder when 24 is divided by (-13)/(((-4)/(-12))/f*3).
11
Let v(r) = 5*r**2 + 5*r + 7. Calculate the remainder when v(5) is divided by 16*(1 - 0)/(19 + 910/(-50)).
17
Let q(u) = -2*u - 19. Let s be q(-11). Suppose -225 = -5*w - 2*i + 5*i, 2*w - 69 = -s*i. Suppose -33 - w = -5*l. What is the remainder when 27 is divided by l?
12
Suppose 2*r - 43 = -c, -2*r - 1011*c + 50 = -1009*c. What is the remainder when 1313 is divided by r?
17
Let w(v) = 11*v**3 + 10*v**2 + 12*v - 93. Calculate the remainder when w(5) is divided by 19.
15
Suppose 116 - 1196 = -8*y. Suppose -3*g = 5*q - 120, -24 = 2*g + 2*q - 100. Calculate the remainder when y is divided by g.
30
Suppose 1184 = -196*v + 204*v. Suppose -v = -2*q - 35*q. What is the remainder when 1 + 12 - (-3 - -2) is divided by q?
2
Suppose -3*v + 0*v + 24 = 0. Let y(a) be the second derivative of a**4/4 - 3*a**3 - a**2/2 - 2*a + 23. Calculate the remainder when y(v) is divided by 24.
23
Suppose -h + 2*m - 6*m + 102 = 0, 0 = -2*h - 4*m + 220. Let d = 108549 - 108532. Calculate the remainder when h is divided by d.
16
Let g(c) be the third derivative of c**5/30 + 11*c**4/12 + 13*c**3/6 + 6*c**2. Calculate the remainder when g(-12) is divided by 18.
1
Let y(l) = 53*l + 2001. Let q = 68 + 7. What is the remainder when q is divided by y(-37)?
35
Suppose -2*t + 3*f = 5, 2*t + 15 = 4*f + f. Suppose 217 = 2*b - t*l, 0 = 3*b + 2*l - 4*l - 309. What is the remainder when b is divided by 51?
50
Let v = 37266 + -37189. Calculate the remainder when 97 is divided by v.
20
Suppose -208*p + 28838 + 36266 = 0. What is the remainder when p is divided by 82?
67
Let t = 123 - 121. Suppose 4*n = -3*u + 161, 0 = -n + t*u - 4 + 36. Calculate the remainder when n is divided by 9.
2
Suppose -5*q + 5 = -5*p + 70, q = 2*p - 26. Suppose 467 + 196 = p*m. What is the remainder when m is divided by 4?
3
Suppose 0 = -3*h - z + 51, -77*h - 4*z = -79*h + 20. Calculate the remainder when 70 is divided by h.
6
Let u = 31616 - 31474. What is the remainder when u is divided by ((-16)/5)/((-2)/5)?
6
Let q(h) = 158*h + 1382. What is the remainder when 2358 is divided by q(-8)?
116
Suppose -w - 5 + 3 = 2*g, -7 = -4*w - 3*g. Let r(a) = 52*a + 158. Let k be r(-3). What is the remainder when 18 - (w/(-4) - k) is di