en r(k) is divided by y(-4).
5
Let r(s) = s**2 + 13. Let l = -907 - -911. Suppose 6*z + 308 = 4*o + l*z, o - 3*z - 77 = 0. What is the remainder when o is divided by r(0)?
12
Suppose r - 13 = -3*t, 5*r = t + 3 - 18. Suppose 0 = 5*b - 4*w - 205, 8*b - 4*b = -t*w + 123. What is the remainder when 91 is divided by b?
17
Suppose -2*o - 5*w + 137 = -4*o, 4*o - w + 301 = 0. Let p = o + 71. What is the remainder when 23 is divided by (-8 - -2)/((10/2)/p)?
5
What is the remainder when 7 - -468 - (-5 + 2 + 4) is divided by 119?
117
Let w(z) = z**2 - 6*z - 5. Calculate the remainder when -18 + -3 + 63 - 15 is divided by w(8).
5
Suppose -3*u = -77 + 20. Suppose w = -4*w. Suppose 12*s - 118 - 314 = w. What is the remainder when s is divided by u?
17
Suppose 0 = 5*z + b - 1382, 5*b - 10*b - 846 = -3*z. What is the remainder when (-8)/14 - (z/(-7) + 5) is divided by 28?
6
Let o = 1815 - 1788. What is the remainder when o is divided by 25?
2
Let l = 343 + -178. Suppose -2*d - 2 = -3*k, 4*d + 5*k - 18 = -0*k. Suppose -l = d*q - 5*q. Calculate the remainder when q is divided by 7.
6
Suppose -28*c - 914 = -34374. What is the remainder when c is divided by 57?
55
Let q(t) = t**3 + 10*t**2 + 22*t + 61. Let p be q(-8). Suppose -p*r + 16 = -9*r. Let f = -15 - -44. What is the remainder when f is divided by r?
1
Let r(p) = -p**3 + 13*p**2 - 14*p - 8. Let u be r(13). Let v = u - -215. What is the remainder when v is divided by 14?
11
Let x = 84 - 45. Calculate the remainder when ((320/56 - 14/(-49)) + -73)*-1 is divided by x.
28
Suppose -2*z = -13 + 1. Suppose 5*u = g + z, -g = 3*u - 89 + 63. Calculate the remainder when 137 is divided by g.
11
Let s = 29046 + -15673. Calculate the remainder when s is divided by 304.
301
Suppose 0 = q - j - 30, 3*q - 45 = -4*j + 10. Suppose 34 - q = w. What is the remainder when 34 is divided by w?
7
Let w(v) = 18*v**2 + 10*v + 11. Let b = -1 + 3. Calculate the remainder when (2 + -10)/(b/(-8)) is divided by w(-1).
13
Let s = 9047 - 8957. What is the remainder when 626 is divided by s?
86
Let l be (0/2)/(0 + 3 + -6). Suppose -5*a - 2*m + 333 + 39 = 0, l = 5*m - 5. What is the remainder when a is divided by 7?
4
What is the remainder when 244 is divided by ((-2)/11 - 0) + 144200/7931?
10
Let v(x) = -x**2 - 60*x + 1138. Suppose -48 = -3*p + 51. What is the remainder when p is divided by v(-75)?
7
Suppose 4*s + 1 = -39. Let f = 12 + s. Suppose 2*z = q + 48, -2*q - f = -z + 19. Calculate the remainder when z is divided by 7.
4
Suppose -2*x + 5*d + 161 = 0, -x + 5*d - 6 = -79. Calculate the remainder when 186 is divided by x.
10
Suppose -115 + 13 = -17*l. Suppose 4*q - 2*q - l = 0. Calculate the remainder when q is divided by -1*(-1)/2*2.
0
Let k(z) be the first derivative of 1/4*z**4 + 16 - 6*z - 2*z**3 - 10*z**2. What is the remainder when k(9) is divided by 12?
9
Suppose 39*r - 22510 - 17933 = 0. Calculate the remainder when r is divided by 3.
2
Let p(r) = 3*r**3 - 21*r**2 - 17*r + 53. What is the remainder when p(11) is divided by 55?
53
Let w(n) = 3*n + 16. Let p be w(-5). Let l be -10*p/1 + (-20)/5. Let f(g) = -g**2 - 17*g - 6. What is the remainder when f(l) is divided by 10?
6
Suppose t = 2*b - 4, -4*t + 21 + 18 = 3*b. Suppose -a + 5*s + 51 = 0, 5*a - 63 = 3*s + 126. What is the remainder when (-70)/6*t/(-1) is divided by a?
34
Let n(t) = 5*t**2 + 22*t - 153. What is the remainder when n(7) is divided by 28?
22
Suppose -m + 6*m + 10 = -2*t, -8 = -4*t - 3*m. Let i(u) = -4*u + 83. What is the remainder when i(19) is divided by t?
2
Suppose -28*f - 8 = -30*f. Suppose 0 = 2*v + f - 2, -4*v - 58 = -3*q. Calculate the remainder when 554 is divided by q.
14
What is the remainder when 341 is divided by 12*6*203/252?
51
Let c be (-77)/(-14) - 3/(0 - -6). Suppose -c*p = -258 + 58. Calculate the remainder when 76 is divided by p.
36
Suppose 0 = -2*o - 4, 0*o - o + 132 = 2*h. Let j be (-1)/2*(-27 - -35). Let c(g) = -19*g - 53. Calculate the remainder when h is divided by c(j).
21
Let a(s) = -5*s**2 + 176*s + 25. What is the remainder when a(34) is divided by 29?
26
Suppose -398 - 292 = -69*k. Suppose -l + 18 = l. Suppose -k*q + 12 = -l*q. What is the remainder when 44 is divided by q?
8
Suppose 0 = 4*u - 4*v + 5241 - 8289, 2246 = 3*u + 2*v. Calculate the remainder when u is divided by 63.
61
Suppose 4*q = 4*n + 112, 4*n - 16 - 2 = -q. Let s = 315 + -474. Let a = s + 200. What is the remainder when a is divided by q?
15
Let q(f) = 14*f**2 - 19*f + 25. Calculate the remainder when 1757 is divided by q(2).
37
Suppose 98 + 76 = 3*d. Let p be ((-112)/(-3))/7 - (-2)/3. Calculate the remainder when d is divided by ((-60)/14)/(p/(-28)).
18
Let z(d) = -90*d - 1009. Calculate the remainder when z(-28) is divided by 27.
26
Suppose -6653 = -47*i + 11583. Let x = i + -364. What is the remainder when 80 is divided by x?
8
Suppose 3*q + 3*h = 36, 3*h - 28 = -54*q + 52*q. Calculate the remainder when 719 is divided by q.
7
Suppose 2*h = 3*c + 45 - 453, -c - h = -141. Suppose -5*r + 13 = -28*x + 30*x, 3*x = 5*r + 57. What is the remainder when c is divided by x?
12
Suppose v = -2*x + 45, -37 = 3*v - 5*x - 84. What is the remainder when 758 is divided by v?
4
Let q(x) = 218*x + 4641. Calculate the remainder when 306 is divided by q(-21).
54
Suppose -15 = -2*h + 15. Let q(c) = -2*c**2 + 2*c + 31. Let g be q(-8). Let d = -69 - g. Calculate the remainder when d is divided by h.
14
Let b = -1950 + 1951. Let q(s) = -s - 2. Let u be q(-6). Suppose u*r - x - x = 16, -4*x = 4*r - 16. What is the remainder when r is divided by b?
0
Let c(r) = r + 2. Let p be ((-5)/2 + 2)*-12. Suppose 9 = p*d - 9. What is the remainder when d is divided by c(0)?
1
Let v(o) = 6*o**2 - 100*o + 374. Calculate the remainder when 1183 is divided by v(4).
63
Calculate the remainder when 25 is divided by 6/((-2)/(-8)*0 - -6).
0
What is the remainder when 192/(-864) + (-4)/27*-339 is divided by 14 - (2 - (3 - 2))?
11
Suppose 4*u - 53 = 227. Calculate the remainder when u is divided by (48/(-9))/(-1)*30/20.
6
Suppose 253*a = 261*a - 1208. Suppose -2*u = x - a, -x - 3*u + 42 + 111 = 0. What is the remainder when x is divided by 6?
3
Let a(i) = -34*i - 21. Let k(f) = f + 1. Let o(n) = -a(n) - 2*k(n). Calculate the remainder when o(5) is divided by 46.
41
Let v(r) = -r**3 + 6*r**2 - 21*r + 21. Let j(p) = p**3 - 5*p**2 + 22*p - 21. Let u(g) = -5*j(g) - 6*v(g). Calculate the remainder when u(10) is divided by 20.
19
Let h(r) = 3*r**2 + 5*r + 3. Suppose -2*k - 8 = 0, 4 = 2*y + 5*k + 38. Let l = -409 + 439. Calculate the remainder when h(y) is divided by l.
25
Let a = 332 - 334. Let y(c) = 35*c**2 + 7*c - 1. Calculate the remainder when y(a) is divided by 27.
17
Suppose -5*d = -18 + 8. Let z(c) = 3*c**d + 17*c + c + 4 - 2*c**2. What is the remainder when 61 is divided by z(-19)?
15
Suppose -3*t = 3*p - 1191, -5*p + 2662 = -4*t + 713. What is the remainder when p is divided by 18?
15
Let n(z) = z**2 - 107*z + 1180. What is the remainder when n(99) is divided by 192?
4
Suppose w - 65 = -5*m, 9*m + 4*w = 6*m + 39. Calculate the remainder when 198 is divided by m + -5 - 7 - (-48 + -1).
48
Let d(v) = v**2 - 3*v - 15. Let g = 66 - 37. Suppose g + 26 = 5*t + 5*b, 0 = t + 5*b - 15. What is the remainder when d(t) is divided by 19?
17
Let h = 25547 - 18518. Calculate the remainder when h is divided by 26.
9
Suppose -12645 = -3*y + 2*d, -5*d + 169 = 199. Calculate the remainder when y is divided by 200.
11
Suppose 44 = 12*v - v. Suppose -3*u - 5*r = -65, 2*r + 48 = v*u - r. Suppose 5*m + u = 0, -5*d + 3*m + 261 = m. Calculate the remainder when d is divided by 27.
24
Let k = 2291 + -1490. What is the remainder when k is divided by 155?
26
Suppose -4*b = 3*i - 22 - 22, 16 = -4*i. Let r be (-10)/(-35) + (-2)/(14/(-103)). Calculate the remainder when (-3 + 207/15)/(6/r) is divided by b.
13
Let y = 32 - 20. Let a = 144 - 140. Suppose a*s + j = 524, 5*j + 110 = s - 0*s. Calculate the remainder when s is divided by y.
10
Let d(x) = -2*x. Let s(b) = -19*b - 2. Let f(g) = -18*d(g) + 2*s(g). What is the remainder when 74 is divided by f(-6)?
2
Suppose -42 = -3*b + 72. Suppose 2*o + b = 3*o. Let h = o - 9. Calculate the remainder when h is divided by 5.
4
Let c(y) = -39*y - 1162. Calculate the remainder when c(-56) i