the remainder when f is divided by h.
5
Let c(h) = 592*h**2 - 9*h - 8. Let w be c(-1). Suppose w - 221 = 31*m. Calculate the remainder when 45 is divided by m.
9
Suppose 6*o - 127 = 5. Suppose -o = 15*j - 187. Calculate the remainder when 19 is divided by j.
8
Let t = 186 - 183. Let x be 1 - 16/((-8)/2). Suppose t*m - m - 16 = 2*j, 2*m - x*j = 1. Calculate the remainder when 89 is divided by m.
11
Calculate the remainder when 1019/(0 + -1 - 12*25/(-200)) is divided by 66.
58
Let n = 4697 - 4575. What is the remainder when 361 is divided by n?
117
Suppose -3*l + 3*z = 6*z - 51, -5*l + 45 = -5*z. Suppose -2*s - 5*w + 51 = 0, 3*s - 1298 + 1309 = 5*w. What is the remainder when l is divided by s?
5
Suppose -3*m + 7 = -t - 1, 5*m = 4*t + 11. Suppose -10*a + 24*a = 168. Calculate the remainder when 282/(-90) + m + (-227)/(-15) is divided by a.
3
Let u = -4137 + 4939. What is the remainder when u is divided by 6?
4
Let b(p) = 208*p**3 - 6*p**2 + p - 12. Let k be b(-4). What is the remainder when (-4)/(-46) + (k/46)/(-2) is divided by 15?
11
Let f = 55 - 47. Let s be 6/f - (-1690)/40. Suppose -11*v = -10*v - s. Calculate the remainder when v is divided by 15.
13
Let b = -8506 + 9020. Calculate the remainder when b is divided by 14.
10
Suppose -1407 = -3*s + 5*k, -3*s - 4*k - 932 = -5*s. Calculate the remainder when 1502 is divided by s.
50
Let c(g) = g**3 + 2*g**2 - 2*g + 4. Let t be c(-3). Suppose -20 = -m - t. Let q = 6237 - 6230. What is the remainder when m is divided by q?
5
Let w(f) = 17*f - 12. Let s = -107 - -109. Calculate the remainder when w(11) is divided by 3 + (-41)/(-2)*(4 - s).
43
Suppose -20*z = -16*z - 4. Suppose -v + z + 2 = 0. Suppose -o - v*o = 5*j - 542, -4 = -2*j. What is the remainder when o is divided by 34?
31
Let z be (-2924)/(-34) - (-6)/(-2). Let g = z - 56. Calculate the remainder when 322 is divided by g.
25
Suppose -25*r - 32*r = 8*r - 214045. What is the remainder when r is divided by 165?
158
Suppose -l - 99 = 5*p, -l - 4*l = 2*p + 35. Let m = p + 26. Suppose m*r - 33 = 3*r. What is the remainder when 43 is divided by r?
10
Suppose -6*t = a - t - 144, -3*a = t - 418. Let n(v) = v**3 + 3*v**2 - 147*v + 208. Calculate the remainder when a is divided by n(10).
25
Suppose -3*z - 25 = -9*s + 14*s, 0 = 2*z + 5*s + 25. Suppose z - 6 = -2*g, 24 = 4*r - 4*g. What is the remainder when 114 is divided by r?
6
Let f(a) = a**2 + 19*a + 18. Let u be f(-12). Let h = u - -66. Let b = 7 + h. What is the remainder when 13 is divided by b?
6
Let f(p) be the first derivative of 2*p**3/3 + p**2 + 203*p - 39. What is the remainder when f(0) is divided by 34?
33
Suppose 1 = o, -3*m + 5*o + 58 = -21. Suppose -4*k + 29*b = m*b - 557, 266 = 2*k + 2*b. Calculate the remainder when k is divided by 38.
24
Suppose -560*k - 355*k + 282107 = -201*k + 623*k. What is the remainder when k is divided by (-3 - -2)*(-1 - 4)?
1
Suppose -2*v + 72 = v. Let i = 92 - v. Let u = 89 - i. Calculate the remainder when u is divided by 14.
7
Let z be (2/8)/(10/(-40))*39. Let i = 85 + -43. Let c = z + i. Calculate the remainder when 11 is divided by c.
2
Suppose 168 = -4*d + 28*d. What is the remainder when 294 is divided by (6 - d) + 14 + (-4)/2?
8
Suppose -283*n + 287*n = 32. Let a(g) = g**2 - 13. Let v be a(-13). Suppose 0*x = -3*x + 5*i + v, 2*i = 2*x - 100. What is the remainder when x is divided by n?
7
Suppose -o - 4807 = -3*s, 3*o - 3809 + 586 = -2*s. What is the remainder when s is divided by 1599?
5
Let g be -3 - (278/(-6) + 8/(-12)). Let d = -76 + g. Let z = d + 45. Calculate the remainder when z is divided by 4.
1
Suppose -2833 = -18*b + 2045. Let k = b + -209. Suppose -2*a = -a - 32. What is the remainder when k is divided by a?
30
Suppose 0 = -2*o - 32 + 62. Suppose 0 = 55*n - 58*n + o. Calculate the remainder when n/(-10)*-82 + 1 is divided by 11.
9
Suppose l + 522 = 4*i, 3*i - 2219*l + 2220*l = 381. What is the remainder when i is divided by (1 + -24)/(2/(-4))?
37
Let l(w) = 450*w**2 - 80*w - 142. What is the remainder when l(-2) is divided by 152?
146
Let q(t) be the third derivative of t**5/60 + 5*t**4/24 + t**3/2 + 6*t**2. Let o(c) = c**2 - 8*c - 9. What is the remainder when o(11) is divided by q(-6)?
6
Let o(t) = 122*t**2 - 42*t + 85. What is the remainder when o(3) is divided by 4?
1
Let n = -9 + 16. Let d(m) = -m**3 + 6*m**2 + 9*m - 9. Calculate the remainder when (11 - (-357)/(-34))*28 is divided by d(n).
4
Let f(z) be the third derivative of z**4/6 - z**3 - 7*z**2 - 2*z. Calculate the remainder when f(9) is divided by 8.
6
Suppose -3*t - 20 = -5*k, -3*k + 5 + 7 = -4*t. Suppose 0 = -12*f - t*f + 372. What is the remainder when f is divided by 8?
7
Let v(q) = 3*q + 35*q - 4*q - 56 + 3*q. What is the remainder when v(3) is divided by 15?
10
Suppose 0 = -4*v - 4*u - 36, -11*v = -8*v - 5*u + 35. Calculate the remainder when 114 is divided by 2*(v/(-40))/(2/116).
27
Suppose 4*q - 195 = -5*a, 10*q = -3*a + 14*q + 117. Calculate the remainder when 635 is divided by a.
11
Let g = 24 + 127. Let d(y) = 9*y - 25. What is the remainder when g is divided by d(7)?
37
Suppose 9*q + 404 = -287 + 871. Calculate the remainder when 21 is divided by q.
1
Suppose 33*j + 22*j - 70500 = -5*j. Calculate the remainder when j is divided by 31.
28
Let m(l) = 2 - 4 + 11*l + 1 + 0*l. Suppose -4*o - 22 = -7*o + 5*a, a + 2 = 0. What is the remainder when m(1) is divided by o?
2
Let x(a) = 160*a + 118. Let b be ((-45)/12)/(2/(-16)). Let t = b - 10. What is the remainder when x(0) is divided by t?
18
Suppose 5*j + 3*b - 1516 = 0, 6*j + 5*b = 2*j + 1218. Let m = j - 161. Suppose 12 = 5*x - 168. Calculate the remainder when m is divided by x.
33
Let o(j) = j**3 + 7*j**2 - 13*j - 3. Calculate the remainder when 7174 is divided by o(-8).
33
Let g(i) = 408*i**2 - 208*i + 824. What is the remainder when g(4) is divided by 233?
229
Let i = -8 + 52. Let m = i + 23. Suppose 21*n + 280 = 41*n. Calculate the remainder when m is divided by n.
11
Suppose -m + 5*s + 5 - 14 = 0, -2*s = -6. Let l(t) = 3*t - m + t + 13 - 3*t. Calculate the remainder when l(-5) is divided by 1.
0
Let n(g) = 5*g**3 - 13*g**2 + g - 3. Let w = 42 + -33. What is the remainder when n(3) is divided by w?
0
What is the remainder when 2010 is divided by 30*(2751/105 + -4)?
12
Let g(o) = o**3 + 48*o**2 + 85*o - 98. Let u be g(-46). Let p = -148 + u. What is the remainder when p is divided by 36?
4
Suppose -22*a - 9*a = -30*a - 1004. What is the remainder when a is divided by 34?
18
Calculate the remainder when 275 is divided by (225 - 236) + (-64)/(-6) - (-332)/6.
0
Let c = -11992 + 12624. What is the remainder when c is divided by 77?
16
Let u = 12 + -9. Suppose -l - 608 + 612 = 0. Suppose 0 = 4*t - u*p - 114, -l*p = -4*t + 6*t - 46. Calculate the remainder when t is divided by 14.
13
Let v = 11004 + -9584. Calculate the remainder when v is divided by 48.
28
Let t(l) = l**2 + 59*l + 926. Calculate the remainder when t(-39) is divided by 58.
30
Suppose -3*b - 391 = -370. Let a(s) = 3 - 29 - 5 - 16*s. Calculate the remainder when a(b) is divided by 28.
25
Suppose 5*k = 568 - 103. Let b = 212 - 116. Suppose -12*q + 8*q = -b. Calculate the remainder when k is divided by q.
21
Let v(y) = -49*y**2 + 9*y + 11. Let w be v(-2). Let k = w - -221. Calculate the remainder when 35 is divided by k.
17
Suppose -5*u + 3*h + 70 = 5*h, 22*h = 20*h. Calculate the remainder when 67 is divided by u.
11
Let u = -17 + 23. Let g(t) be the third derivative of -t**6/120 + 7*t**5/60 - t**4/4 + 11*t**3/6 - 3*t**2 - 8. What is the remainder when 30 is divided by g(u)?
8
Let a(p) = -p**3 + 7*p**2 - 5*p + 20. Let c be a(6). Let n = c - -28. Suppose 4*k + n = 5*k. Calculate the remainder when k is divided by 19.
16
Let k(v) = 229*v**2 - 895*v + 11. Calculate the remainder when 473 is divided by k(4).
93
Let q = 22 + -4. Let p = q + -9. Let t = -60750 - -60783. Calculate the remainder when t is divided by p.
6
Suppose 5*a + 16 + 4 = 0. Let c be (-1)/a - 23*1/(-4). Suppose 0 = 2*u - c*u + 96. Calculate the remainder when 95 is divided by u.
23
Let z(x) = x**2 - 210*x - 1283. Calculate the remainder when 1376 is divided by z(-6).
11
Let s = 4076 + -3958. What is the remainder when 226 is divided by s?
108
What is the remainder when 101/(-3)*5*132*