0, l*u + r + z = 28. Calculate the remainder when 27 is divided by u.
3
Let s = -72 - -72. Suppose -4*h + 49 + 95 = s. Suppose 11*a = 6*a + 70. Calculate the remainder when h is divided by a.
8
Let j(t) = -120*t + 2893. What is the remainder when 5625 is divided by j(24)?
9
Suppose 188*a + 60464 - 215350 - 245178 = 0. What is the remainder when a is divided by 213?
211
Let g(c) = 388*c**2 - 16*c + 78. Let k be g(6). Calculate the remainder when k/78 + 2/13 is divided by 46.
41
Let m = -224 + 315. Calculate the remainder when 631 is divided by m.
85
Let o(f) = f**3 + 59*f**2 + 55*f - 169. Calculate the remainder when 538 is divided by o(-58).
3
Suppose -1310*d = -1317*d + 1435. What is the remainder when d is divided by 57?
34
Let v(x) = 3*x**3 + 19*x**2 + 5*x - 3. Let o be v(-6). Suppose 29*f = o*r + 25*f - 119, -4*r + 137 = -f. What is the remainder when 156 is divided by r?
24
Calculate the remainder when (-242)/(-5) + (-140)/350 is divided by 7.
6
Let v be 2/(-15) - (-2 - 56/(-30)). Suppose v = -b + 6 - 3. Suppose -b*h = -8 - 25. What is the remainder when 32 is divided by h?
10
Suppose -29 = -5*t - 44. Let j(v) = 4*v**2 - 2. Calculate the remainder when j(2) is divided by -4 + (t - -10) + 7.
4
Let p(q) = -45*q - 562. Calculate the remainder when 901 is divided by p(-15).
110
Suppose 10*v - 3475 + 965 = 0. Calculate the remainder when 936 is divided by v.
183
Suppose -5*y - 5 = 10, -456 = -4*a + 4*y. Let v = -152 - -181. Calculate the remainder when a is divided by v.
24
Let z(j) = j**2 - 76*j + 1203. Calculate the remainder when 730 is divided by z(60).
1
Let t = 74 - 82. Let r(g) = 11*g + 31. Let h(u) = 7*u + 21. Let z(i) = 8*h(i) - 5*r(i). Calculate the remainder when z(t) is divided by 4.
1
Suppose 0 = 2*x - 8, -2*l + 4*x - 1 = 11. Suppose l*o + 3*o + 30 = 5*g, 0 = 5*g + 5*o. Suppose 5*n - 22 = 3. Calculate the remainder when n is divided by g.
2
Let v(a) be the second derivative of -3*a**5/20 + 17*a**4/4 + 21*a**2/2 + 216*a. Calculate the remainder when 36 + (-2 + 4 - 0) is divided by v(17).
17
Suppose 0 = -26*q + 22*q - 20, 0 = 6*b + 5*q - 21017. Calculate the remainder when b is divided by 130.
127
Let i = -39 - -30. Let l be 3/i + (-13)/(-3). Calculate the remainder when (10/l)/((0 - 3)/(-30)) is divided by 9.
7
Suppose -2*f = -430*a + 433*a + 4, 2*f - 28 = 5*a. Let b(j) = 3*j - 1. Let d be b(6). Let u = f + d. Calculate the remainder when 61 is divided by u.
19
Let t = -17437 + 19929. What is the remainder when t is divided by 39?
35
Suppose -3730*f + 3734*f = 3752. What is the remainder when f is divided by 225?
38
Suppose 3*d - d - 2 = 0. Let t(q) = -q**3 - 2*q**2 + q - 4. Let l be 10/25 - (1 - (-24)/10). Calculate the remainder when t(l) is divided by d.
0
Let k(w) be the first derivative of w**4/4 + 29*w**3/3 - 31*w**2/2 + 61*w - 85. What is the remainder when k(-30) is divided by 21?
7
Let c(g) = -12*g**2 + 7*g - 23. Let z be c(15). Calculate the remainder when (z/68)/((-1)/6) is divided by 18.
15
Let d(j) = j**2 - 7*j - 45. Let p = 699 - 709. Calculate the remainder when d(p) is divided by 59.
7
Let k(f) = 113*f**2 - 627*f - 8. Calculate the remainder when k(6) is divided by 10.
8
Suppose -7*x - 13 = 1. Let q(u) = -u**3 - u**3 + 5*u + u**3 + 5 + 4*u**2. Calculate the remainder when 54 is divided by q(x).
16
Let i = -105 - -86. Let y = -69 - -103. Let b = y + i. Calculate the remainder when 74 is divided by b.
14
Calculate the remainder when (-9)/(-36)*16 + 266 is divided by 254.
16
Suppose 2*l + 4*l = -72. Let d be 3*(l/(-15))/((-12)/(-10)). Suppose -d*s + m + 66 = 5*m, 4*s - 104 = -m. Calculate the remainder when 172 is divided by s.
22
Let q = -479 - -522. Let k = -147 + 309. Calculate the remainder when k is divided by q.
33
Let a = 6 - 0. Suppose -8*i - 11598 = 5602. Calculate the remainder when i/(-125) + 2/(-10) is divided by a.
5
Suppose -j + 53 = h, -2*j - 150 = h - 208. Calculate the remainder when h is divided by 20.
8
Let f = -10 + 84. Let j(n) = -64*n + 6344. What is the remainder when f is divided by j(99)?
2
Let n = 3 - -114. Let c = 10208 + -10188. Calculate the remainder when n is divided by c.
17
What is the remainder when (-9475)/(-7) + ((-8)/3)/(84/18) is divided by 105?
93
Let p = -2783 - -4562. What is the remainder when p is divided by 10?
9
Let i(t) = -7*t + 47. Let n be i(13). Let q = n + 59. What is the remainder when 14*q/25*(-35)/(-2) is divided by 25?
22
Let p(y) = -28*y + 424. Calculate the remainder when p(-38) is divided by 10.
8
Suppose -5*w + 25 = 5*o, w - 4*o + 2 = -3. Let y = 191 - 22. Suppose -1 + y = w*g. What is the remainder when g is divided by 21?
14
Suppose -2*x = -28*f + 33*f - 2218, 3*f - 3*x = 1314. Calculate the remainder when f is divided by 150.
142
Let i(s) = -42*s**2 + 45*s**2 + 343 - 390 + 20*s. What is the remainder when 379 is divided by i(-11)?
91
Suppose 32 = 4*i - 3*m, -2*i + 5*m + 40 = 3*i. Suppose 21 + 15 = 4*z - 2*j, -8 = 4*j. Suppose 100 = 13*c - z*c. Calculate the remainder when c is divided by i.
4
Suppose -41*i + 31689 = -38626. What is the remainder when i is divided by 172?
167
Suppose 62*j = -30*j + 18308. Calculate the remainder when 810 is divided by j.
14
Suppose -10*c = 5*c - 45. Calculate the remainder when 350 is divided by c.
2
Let t(j) = j**2 + 37*j - 290. Let w be t(7). Let x be (3 - 5)*6/4. Let h = w - x. What is the remainder when 59 is divided by h?
17
What is the remainder when 904 is divided by 9/(-6)*4472/(-195) + (-10)/25?
20
Let o = -2185 - -2224. What is the remainder when 3977 is divided by o?
38
Let b be (21/(-7))/((-9)/24). Let i = 284 - b. What is the remainder when i is divided by 20?
16
Let q = -6 - -12. Suppose -22*b + 247 = 41*b - 68. Suppose -q*v + b*v = -10. Calculate the remainder when 38 is divided by v.
8
Suppose -7*p + 9 = -12. Suppose -5*x = 2*q - x - 92, -x = -p*q + 110. Calculate the remainder when q is divided by 11.
5
Let n be ((-2)/(-6))/(8/360). Let r be 313/(-3) + 10*2/n. Let i = 173 + r. What is the remainder when i is divided by 19?
13
Let z(j) = 2*j**2 + 2*j + 4. Let d be z(-6). What is the remainder when d/24*66/4 is divided by (0 - -13) + (-7)/(21/(-6))?
14
Let i = 1 - -9. Let z be -7*(90/4)/((-21)/12). Suppose -136*w = -131*w - z. Calculate the remainder when w is divided by i.
8
Let l be (3 - (5 + 3 + -3))*137. Let n = -191 - l. Suppose -2*u = -5*f - 38 + 137, 5*f - 120 = -5*u. What is the remainder when n is divided by f?
20
Let x = -204 - -322. Let o be -3*2/((-4)/54). Let m = o + -51. What is the remainder when x is divided by m?
28
Let g = 20939 + -18970. Calculate the remainder when g is divided by 68.
65
Suppose 8 = -2*k - 2, v + 9 = -4*k. What is the remainder when 559 is divided by v?
9
Let n(f) = 3*f**3 + 52*f**2 + 6*f - 103. Let v(b) = b**2 - 2*b - 6. Calculate the remainder when n(-17) is divided by v(-5).
26
Let s = 17948 + -17795. What is the remainder when 1518 is divided by s?
141
Let m(o) = o**3 - 3*o**2 + 8*o - 6. Let n be m(4). Suppose n = 4*y - 54. Suppose 7*f - 318 = -10. Calculate the remainder when f is divided by y.
20
Let x be 4*57*(24 + -31). What is the remainder when 64 is divided by x/(-60) + 6*(-2)/20?
12
What is the remainder when ((13/26)/(1/(-47)))/(18/(-1188)) is divided by 7?
4
Let p = 968 - 975. Let i(d) be the second derivative of -d**3/3 - 2*d**2 - d. Calculate the remainder when 38 is divided by i(p).
8
Let f(y) = y**2 - 19*y - 55. Suppose 3*o = 22*o - 1520. Calculate the remainder when o is divided by f(-3).
3
Suppose 10*d = -15*d - 475. Let s(p) = p + 42. Calculate the remainder when 54 is divided by s(d).
8
Let b(n) = n**3 - 16*n + 79*n**2 + 0*n**3 + 5 - 88*n**2. Let v be b(11). Let a = v + -44. Calculate the remainder when 106 is divided by a.
25
Let y = 2072 + -2063. Calculate the remainder when 485 is divided by y.
8
Suppose 5*i + z = 5962, -39*z = -40*z + 2. What is the remainder when i is divided by 235?
17
What is the remainder when (((-20)/(-45))/(2/3))/(20/3930) is divided by 120?
11
Suppose -2*z - 5*x = -4*z + 12568, -3*x = 2*z - 12504. What is the remainder when z is divided by 224?
216
Suppose -5*k + 4*c + 12 = 0, 5*k + 5*c = 3*c + 54. Suppose 4*a - 5*v = -4*v + 101, 0 = 4*a + 4*v - 76. What is the remainder when a is divided by k?
0
Suppose 354*q - 288*q - 4