ed by 119.
113
Suppose 13*n + 193545 = 193675. Let k = 13 + -7. Calculate the remainder when n is divided by k.
4
Suppose -k + 34 = -3*c - 2*k, -2*c - 3*k = 32. Let l = -3514 + 3490. Calculate the remainder when (l/c)/(34/1105) is divided by 20.
18
Let u(f) = f**2 - f - 4. Let i be (-28)/(-6) - (-12)/36. Let h(n) = -5*n + 32. Let y be h(i). Calculate the remainder when 150 is divided by u(y).
36
Let p(g) = -100*g - 1474. Calculate the remainder when 595 is divided by p(-15).
23
Suppose 822*f - 1620 = -1225*f + 427*f. Suppose 0 = -0*m + 3*m - 51. What is the remainder when m is divided by f?
0
Let b(l) = 2*l**2 + 18*l + 16. Let q be b(-8). Suppose q = 24*j - 19*j. Suppose j = y - 4 - 4. What is the remainder when 54 is divided by y?
6
Let d = 139 + -109. Suppose -8*z - d = -14*z. Suppose w + 0*w = z, b + 2*w - 108 = 0. What is the remainder when b is divided by 9?
8
Let n be 89 - (-20)/(-1 - 4). Suppose 25 = w - x, -5*w = -x + 6*x - n. Calculate the remainder when -2*(1596/8)/(-7) is divided by w.
15
Let w(k) = -k**2 + 24*k + 10. Let u be w(24). Suppose -570 = -48*c + u*c. Calculate the remainder when 268 is divided by c.
13
Let d(l) = -l**3 + 5*l + 49. Let t(c) = -c**3 - 11*c**2 - 10*c + 13. Calculate the remainder when d(0) is divided by t(-10).
10
Let v(o) be the second derivative of 39*o**4/4 - 16*o**3/3 - 3*o**2/2 - 100*o. Calculate the remainder when v(2) is divided by 31.
29
Let v = 9584 - 8696. Calculate the remainder when v is divided by 875.
13
Let o(x) = -2*x**2 - 113*x - 704. What is the remainder when 96 is divided by o(-49)?
3
Let o(v) = v**2 + 7*v - 4. Let z = -19 - -34. Suppose 5*y = 5*x + z, -x - 29 + 1 = 4*y. Calculate the remainder when o(x) is divided by 2.
0
Let x(j) = -14*j + 134. Let l be x(10). What is the remainder when 20*(l + (-46)/(-4)) is divided by 56?
54
Let b = -189 - -347. Let a(c) = -46*c - 1222. What is the remainder when b is divided by a(-27)?
18
Suppose 154 - 25 = 5*o + 2*g, 0 = -3*o + 3*g + 69. What is the remainder when (97/2)/(8/16) is divided by o?
22
Let n = -111 - -247. Calculate the remainder when n is divided by (27390/(-12782))/(6/(-364)).
6
Let w(o) = -2*o**2 + 46*o - 232. Calculate the remainder when 120 is divided by w(8).
0
Let a = -5 + 6. Suppose -a = 2*r - 51. Let o(k) = k + 11. Calculate the remainder when r is divided by o(-8).
1
Suppose 54 = 3*t + g + 2*g, 0 = -5*g. Let b(q) = 2*q**3 - 3*q**2 - 134*q + 19. Let f be b(9). Let w = f - t. What is the remainder when 28 is divided by w?
8
Calculate the remainder when 116 is divided by 80/44*(23 - 12).
16
Suppose 26*b = 29 + 677 + 386. Calculate the remainder when 304 is divided by b.
10
Let b = 303 - 187. Suppose b = 2*t - 58. Let c = 38 + -28. Calculate the remainder when t is divided by c.
7
Let r(q) = -2*q**3 + 39*q**2 + 21*q - 12. Let h be r(20). Calculate the remainder when 292 + (-2)/(12/h + -1) is divided by 29.
27
Let u(a) = -a**3 - 13*a**2 - a - 6. Let z be u(-13). Suppose 19*f - 20*f = -z. Suppose 0 = -f*d + d + 570. Calculate the remainder when d is divided by 24.
23
Suppose 2*o = -4*r + 3282, -5*o + 15*r + 8235 = 20*r. Calculate the remainder when o is divided by 26.
15
Let t be 6 + -7 + 3 + 0/2. Suppose 3*f + 5*n - 132 = -0*f, t*f = 5*n + 63. What is the remainder when f is divided by 6?
3
Let q(s) = s**3 + 2*s**2 - 225*s + 140. What is the remainder when 265 is divided by q(0)?
125
Calculate the remainder when 5804940/1800 - 1/(-30) is divided by 7.
5
Let x(o) = 39*o**2 - 84*o + 328. Calculate the remainder when x(4) is divided by 110.
66
Let n(q) = -6*q**3 - 242*q**2 - 78*q + 95. Suppose m - 2 = -m. Let o = m - -5. What is the remainder when n(-40) is divided by o?
3
Let n(h) = h**2 - 7 - 54 + 114 - 8*h - 7*h. What is the remainder when 14 is divided by n(10)?
2
Calculate the remainder when 575 is divided by (-24)/8 + (-6 + 6 - -35).
31
Suppose -5*d = 2*k - 195 - 1169, -2*d + k = -542. Calculate the remainder when d is divided by 84.
20
Calculate the remainder when 4589 is divided by 10/(-12) - ((-18700)/(-24))/(-17).
44
Let v(x) = -x + 115. Calculate the remainder when v(-52) is divided by 45.
32
Let z(u) = -8096*u - 64747. Let y = 8 + 7. What is the remainder when z(-8) is divided by y?
6
Let u be (-9 - (-52)/8)*(-85 - 1). Let z = u - 197. Suppose 3*j = 6*j - 12. What is the remainder when z is divided by j?
2
Let d = -27789 + 27809. Calculate the remainder when 3018 is divided by d.
18
Suppose 10*b = -55240 + 57270. What is the remainder when b is divided by 56?
35
Let g = 53 - -72. Suppose -3*n = n + 2*l - 58, 3*n - 3*l - 39 = 0. Calculate the remainder when g is divided by n.
13
Let v(o) = 180*o + 13 + 14*o + 128*o. Calculate the remainder when v(1) is divided by 13.
10
Suppose -3*o - 2*t = -1508 + 677, -1091 = -4*o + 3*t. What is the remainder when o is divided by 25?
0
Suppose 6*m - 428 = 3*m + 76. What is the remainder when 348 is divided by m?
12
Suppose 26*t + 8*t - 369 = 175. What is the remainder when 123 is divided by t?
11
Calculate the remainder when (1629 + -1628)/(1 + 7578/(-7580)) is divided by 48.
46
Let m = -45 + 47. Suppose 4*s - m*v = 169 - 31, -s + v = -33. Calculate the remainder when 106 is divided by s.
34
Let x(l) = 528*l + 3463. Calculate the remainder when x(-5) is divided by 112.
39
Suppose 18827 - 10955 = 41*y. Calculate the remainder when y is divided by 38.
2
Calculate the remainder when (-17)/(170/(-6860)) + (-16)/(-12)*3 is divided by 103.
72
Let q(g) = 4*g**2 - 12*g - 29. What is the remainder when 1553 is divided by q(5)?
2
Let l be 61 - 4 - (-3)/(6/8). Let m = -176 - -126. Let b = m + l. What is the remainder when 76 is divided by b?
10
Suppose -4*o = -5*t + 82, 3*o = t - 2*t + 24. Suppose 10*s - t*s = -336. What is the remainder when 157 is divided by s?
31
Let c(f) = -f**3 - 18*f**2 - 17*f - 20. Let v be c(-12). Let d = v + 992. Calculate the remainder when d is divided by 63.
60
Suppose 5*t - 1902 = -q - 2*q, -3*t + 3*q + 1122 = 0. Suppose 4*m + 587 = 3*z, -5*z - m + 631 = -t. What is the remainder when z is divided by 51?
48
What is the remainder when (-50 + 3)*-74 - (-13)/((-117)/(-27)) is divided by 1153?
22
Suppose 2*v - 268 = 6*v. Let g = 67 + v. Suppose -7*p + 71 + 202 = g. Calculate the remainder when p is divided by 6.
3
Calculate the remainder when (-2)/8 + -7*(-109409)/1036 is divided by 57.
55
Suppose -4*u + m + 15 = 0, -5*u + 0*m + 24 = 4*m. Suppose f - u*f = 5*f. Let v(c) = c**3 + c + 3. What is the remainder when 10 is divided by v(f)?
1
Suppose -2*f + 13*f - 110 = 0. Suppose 4*q = -8, -4*q + 9 = 3*x - f. What is the remainder when 31 is divided by x?
4
What is the remainder when (-2)/(-39) + 4300730/5226 is divided by 75?
73
Suppose -2*f - t + 6*t - 159 = 0, 0 = 5*f + 2*t + 354. Calculate the remainder when -2 - (6 + f/4) is divided by 5.
0
Let c(z) = 13*z + 117. Let q be c(-7). Let o = 69 + q. What is the remainder when o is divided by 20?
15
Let m(f) = 6 - 5 + 4*f**2 - 5*f + 9 - 3*f**2. Let p be m(9). Suppose 398 = 4*w - 2*v - p, -2*w - 3*v = -206. What is the remainder when w is divided by 37?
35
Suppose -5*g - 206 = -4*j + 152, 0 = -j + 5*g + 82. Suppose v = -3*d + 12765, -v = -2*d - 0*v + 8510. What is the remainder when d/j - 1/4 is divided by 25?
21
Let x(k) = k**3 + 42*k**2 - 41*k + 127. Let o(s) = 30*s**2 + 10*s - 24. What is the remainder when o(-3) is divided by x(-43)?
11
Let z = -199 - -199. Suppose z = 4*f + 9*f - 546. What is the remainder when 138 is divided by f?
12
Let w = -28 - -32. Suppose -w*b = b - 35. Suppose -k = 5*a - 18, -3*k - a - a + 54 = 0. What is the remainder when k is divided by b?
4
Let h = 819 - 874. Let l(f) = 14*f - 8. Let o be l(6). Let u = o + h. Calculate the remainder when u is divided by 6.
3
Let h = -3 + 7. Suppose 2*m = x - 11, 21*x + m - 2 = 19*x. Suppose -f = 4*d - h, -x*f + d - 19 = -96. What is the remainder when f is divided by 3?
0
Let z(p) = 78*p - 4012. What is the remainder when 515 is divided by z(52)?
31
Let v(u) = u**3 + 3*u**2 + 6. Let x be v(0). What is the remainder when (136/x)/(0 - 10/(-15)) is divided by 14?
6
Let o = 187 + -185. Suppose -o*s + 249 = 2*p + 3*s, -2*p = 3*s - 251. What is the remainder when p is divided by 34?
25
Let q be (-2)/3 - (-1858)/6. Let f = -132 + q. Suppose 119*r = 5*l + 124*r - 205, 