t is divided by z?
5
Suppose -36 - 52 = 2*n. Let k = n - -44. Suppose k*z + 24 = 2*z - c, -2*z + 48 = 5*c. What is the remainder when 109 is divided by z?
11
Suppose 5*r - 193*j - 66 = -190*j, 5*j = -20*r + 400. What is the remainder when 840 is divided by r?
12
Let s(y) = 123*y**2 - 4*y + 20. Calculate the remainder when 599 is divided by s(1).
43
Suppose 0 = -26*i - 38*i + 1856. What is the remainder when ((-123)/4)/((-9)/24) is divided by i?
24
Suppose 5*f - 2*s - 2*s - 2127 = 0, 0 = -4*f - 2*s + 1686. Let q = 372 - 373. Calculate the remainder when 54 is divided by (3/4)/q + f/36.
10
Let a(o) = o**3 - 79*o**2 - 65*o - 263. Calculate the remainder when a(80) is divided by 4.
1
Let o be (-16)/(-120) - 446/(-30). Suppose 4*a = h + o, -4*a - 15 = -2*a - 5*h. Suppose 0 = -a*l + 7*l - 78. Calculate the remainder when l is divided by 10.
9
Let d = 25 - 34. What is the remainder when (d + -19)*(-18)/7 is divided by 19?
15
Let j(m) = 19*m - 78. Let l be 65*(0/(-11) + 2/10). What is the remainder when j(l) is divided by 17?
16
Suppose -5*h - 931 = -4*l, 3*l = -2*l + 5*h + 1160. Suppose l = 2*b - 107. Calculate the remainder when b is divided by 59.
50
Suppose 92 = z + 4*d - 136, -3*d - 1255 = -5*z. Let x(n) = -n + 16. What is the remainder when z is divided by x(-9)?
23
Let j = -2173 + 2195. What is the remainder when 791 is divided by j?
21
Suppose 140766 - 139380 = 11*p - 2*p. What is the remainder when 22636 is divided by p?
152
Suppose 5 = 3*c - 1. Suppose -2*f - 40 = -4*l, 5*f = -c*l - 0*l - 4. Suppose w + 1 = -4*p + l, -4*w + 28 = 3*p. What is the remainder when w is divided by 3?
1
Let n(a) be the second derivative of -a**4/12 + 8*a**3/3 - 29*a**2/2 + 11*a - 1. What is the remainder when n(5) is divided by 16?
10
Suppose 0*h = -4*h + 32. Let i be (36/(-12))/(4/(-8)). Calculate the remainder when (h/i - 2/6)*23 is divided by 8.
7
Let v(d) = -4*d**2 - 151*d - 332. Calculate the remainder when 115 is divided by v(-35).
9
Suppose 12*m + 2*m = 56. Let g = 317 + -254. What is the remainder when g is divided by m?
3
Let c = 470 + -193. Let j = -86 + c. What is the remainder when j is divided by 364/(-21)*((-21)/(-12) - 4)?
35
Suppose 12*w - 30 = -6. Suppose 0 = -w*z + 58 + 16. Calculate the remainder when 127 is divided by z.
16
Let b(s) = s**2 - 30*s - 134. Suppose 4*m + 58*u - 143 = 61*u, 3*m = 5*u + 110. Calculate the remainder when b(m) is divided by 5.
1
Let v be (-11 + 35/3)*3*114. Let m(l) = 5*l + 5. Let c be m(-5). What is the remainder when 43 is divided by (-2)/5 - v/c?
10
Suppose 8*t + 5*t - 65 = 0. Suppose -n + 217 = 2*n + 5*o, t*o - 89 = -n. What is the remainder when 190 is divided by n?
62
Suppose 0 = -6*u - 32 + 62. Let q(f) = -2*f**2 + 11*f + 36. What is the remainder when q(0) is divided by u?
1
Suppose 3*z + o - 209 = 1255, 3*z + 5*o - 1440 = 0. What is the remainder when z is divided by 60?
10
Let f = -4 + 1. Suppose 382*d - 110 = 377*d. What is the remainder when d is divided by ((-152)/f)/8 - 2/6?
4
Suppose -90 = 19*o - 22*o. Suppose -2*q + 10 = 0, -q + 5*q = -3*a + 368. What is the remainder when a is divided by o?
26
Let v = 31 + -22. Let g = 612 + -1376. Let t = -741 - g. Calculate the remainder when t is divided by v.
5
Let a(f) = f**2 + 15*f - 59. Let p be a(-19). Let x(n) = 2*n - 4. What is the remainder when 52 is divided by x(p)?
22
Suppose 34 = 4*a - 10. Let y = 36 - 33. Calculate the remainder when a is divided by (25 - 21) + y*(-4)/(-6).
5
Suppose 6402 = 3*c - 4*s, 0 = -4*c + 203*s - 202*s + 8549. Calculate the remainder when c is divided by 14.
10
Suppose m + 0*m - i - 21 = 0, 63 = 3*m + i. Let q = -1372 - -1374. Suppose -q*n - 1057 = -1087. Calculate the remainder when m is divided by n.
6
Let q = 3582 - 2383. Calculate the remainder when q is divided by 6.
5
Suppose 1291648 = 228*k - 431576. What is the remainder when k is divided by 9?
7
Suppose -181 - 582 = -4*w + 5*c, -3*c - 9 = 0. What is the remainder when w is divided by 84?
19
Let s(z) = z**2 - 7. Let f be s(8). Suppose -f - 198 = -5*r. What is the remainder when r is divided by (-19)/285*15*((-39)/(-3))/(-1)?
12
Let l(o) = -12*o - 10. Let f = -125 - -130. Suppose -f = 4*j + 4*u + 3, -4*j + 2*u = 20. Calculate the remainder when l(j) is divided by 2.
0
Suppose 19085*g = 19060*g + 5150. Calculate the remainder when 1502 is divided by g.
60
Suppose -23*m + 5420 = -5*m - 17926. Calculate the remainder when m is divided by 42.
37
Suppose 0 + 18 = -9*j. Let x(m) = 11*m**2 - m - 4. Let z be x(j). Suppose z*v - 284 = 40*v. Calculate the remainder when v is divided by 24.
22
Let s(c) = 13*c**2 + 22*c - 60. Let z(n) = 11*n**2 + 21*n - 57. Let r(k) = -6*s(k) + 7*z(k). What is the remainder when 419 is divided by r(6)?
14
Let v(t) = -3*t - 50. Let c(s) = -4*s + 29. Let y be c(10). Let f(d) = d + 17. Let a(i) = y*f(i) - 4*v(i). What is the remainder when 96 is divided by a(7)?
16
Suppose -41*y + 13*y = -4900. What is the remainder when 2099 is divided by y?
174
Suppose v + 5*v = 42. Suppose 0 = v*s - 272 - 8. Suppose 4*c + 5*n = 269 + 224, -3*n + 15 = 0. Calculate the remainder when c is divided by s.
37
What is the remainder when 10809 is divided by (-8)/12 + (-5 - 930/(-18))?
45
Let c = 978 + -781. What is the remainder when 1575 is divided by c?
196
Let f = -4041 - -4115. What is the remainder when f is divided by 36?
2
Calculate the remainder when 473 is divided by (-17)/(-6) + -2 + (225131/114)/17.
5
Suppose -6*k + 2*k + 4*x + 1832 = 0, 3*k - 1366 = -5*x. What is the remainder when k is divided by 143?
28
Let w(m) = -49*m - 460. What is the remainder when 670 is divided by w(-12)?
30
Suppose -2*p + 26850 = 28*p. Let h = p + -462. What is the remainder when h is divided by 31?
30
Suppose 851 = 34*l + 1429. Let u(p) = 7*p**2 - 2*p - 3. Let y be u(3). Let f = y - l. Calculate the remainder when f is divided by 12.
11
Let j(f) = 3*f**2 + 5 + 3*f - 66*f**3 - 24*f**3 + 89*f**3. Let k = 1 + -3. Calculate the remainder when 30 is divided by j(k).
11
Suppose 23 = -3*w - x + 322, 4*x + 504 = 5*w. Let s(f) = 5*f - 83. What is the remainder when w is divided by s(19)?
4
Suppose 31*x = 32*x - 6, 3*o = 2*x + 126. Let u = -74 + 158. What is the remainder when u is divided by o?
38
Suppose 4*d + 1056 = 2*c - 6110, 4*c = d + 1788. Let p = 2691 + d. What is the remainder when p is divided by 25?
24
Suppose -67*l + 1954 + 1750 = 19. Let q = 2 - -1. Let c(v) = 2*v**3 - 3*v**2 - 2*v - 2. What is the remainder when l is divided by c(q)?
17
Suppose 7*t - 9*t = 174. Let c = 110 + t. Calculate the remainder when (-5)/25 - (-321)/5 is divided by c.
18
Suppose -6*n = 2*d - 72 + 34, -2*d + 5*n = -27. What is the remainder when (-1)/4 - 2440/(-32) is divided by d?
12
Let k(m) = m**3 + 8*m**2 + 7*m - 10. Suppose -3 = -3*z, -2*n = z + 3 + 6. Suppose -o + 2*o - 11 = 0. What is the remainder when k(n) is divided by o?
8
Suppose -57*b + 110*b = 62*b - 432. What is the remainder when 1048 is divided by b?
40
Let d be (66/12 + -5)*-4. Let i(z) = -4*z + 1. Calculate the remainder when 144/(-15)*10/(-3) is divided by i(d).
5
Suppose m + 2*c - 112 = 0, -m - 4*c + 113 = -3*c. Let b(r) = r**2 + 10*r - 96. What is the remainder when m is divided by b(7)?
22
Let y(w) = w**3 + 49*w**2 + 89*w + 41. Calculate the remainder when y(-16) is divided by 2351.
12
Let h = 49 - 53. Let w(x) = x**2 + 3*x + 2. Let k be w(h). Let s(r) = 26*r + 13. What is the remainder when s(k) is divided by 34?
33
Let x(f) = -f**3 - 39*f**2 - 463*f - 42. Calculate the remainder when x(-28) is divided by 11.
8
Suppose 22*m - 13*m = 10071. Let g = 22 + -5. What is the remainder when m is divided by g?
14
Let x(i) = 8*i**2 - 25*i - 9. Suppose -3*v - p + 10 = 3, -4*p = v + 16. Calculate the remainder when 67 is divided by x(v).
10
Let q = 312 - 333. What is the remainder when (7/q - (-2)/(-12))*-108 is divided by 43?
11
What is the remainder when 2860 is divided by 44*36*5/80?
88
Suppose t - 68 = 5*s - 6*s, 0 = -t - 6*s + 68. What is the remainder when 2306 is divided by t?
62
Suppose 1064*d = 1071*d - 23296. What is the remainder when d is divided by 101?
96
Suppose 0 = 748*r - 779*r + 48041 - 12174. What is the remainder when r is divided by 291?
284
Let f(j) = -27*j**3 + 2*j**2 - j - 2. Suppose 2*v = -3*o + 20 - 7, -2*v - o = -3. 