alculate the remainder when 176 is divided by f(41).
17
Suppose 75*k - 1540 = 61*k. Let b = 122 - k. Calculate the remainder when 322 is divided by b.
10
Suppose 2*a - 1653*b + 1650*b - 855 = 0, 1773 = 4*a + b. Suppose 2*s + 66 - 294 = -q, 20 = 5*q. Calculate the remainder when a is divided by s.
105
Suppose 17 = 3*z + 4*u - 5, -5*z + 26 = -4*u. Let q = 77 - 63. Suppose -23*o = -16*o - q. What is the remainder when z is divided by o?
0
Let f(y) = y + 37. Let p be f(32). Suppose 2*q = 4*k - 202, p*k - 81 = 67*k - 3*q. Calculate the remainder when 333 is divided by k.
45
Let o = -25563 - -25586. Let d(k) = -k + 135. Calculate the remainder when d(0) is divided by o.
20
Let g(s) = -3*s - 4. Calculate the remainder when (118 - 7)*(-4)/(-6) is divided by g(-5).
8
Suppose -18 = -87*z + 78*z. Suppose 0 = w - a - 16 + 7, 4*a + 6 = -z*w. Calculate the remainder when w is divided by 2.
1
Let l(d) = -d**3 - d**2 + 4*d. Let h = -10225 + 10232. Calculate the remainder when l(-4) is divided by h.
4
Suppose -1664 = 2*u - 10*u. Suppose -u = 29*g - 55*g. Calculate the remainder when 85 is divided by g.
5
Suppose -2*a - 3*q + 3693 = 0, 4*a + 14*q - 13*q = 7401. What is the remainder when a is divided by 455?
31
Let w(s) = 43*s - 42. What is the remainder when -4 + -1 - (2 - 43) is divided by w(1)?
0
Let m = 234 + -199. Let h = 58 - 54. Suppose -2*w = 3*w - 3*j - 102, 0 = j + h. What is the remainder when m is divided by w?
17
Let h = -428 + 378. Let r(x) = 3*x - 4. What is the remainder when (-1005)/h + (-3)/30 is divided by r(4)?
4
Suppose -2*q + 20 = 5*a + 2*q, 0 = 3*a - q + 5. Suppose a = d - 4*f + 145, d - 4*d - 487 = f. Calculate the remainder when 2 + 24/(-9) - d/3 is divided by 9.
8
Let h = -176 + 64. Let z = 109 + h. What is the remainder when 9*z/(-9) + 68 is divided by 20?
11
Let i(y) = y**3 - 8*y**2 + 12*y - 29. Let s(b) = b**3 - b**2 - b. Let l(n) = -i(n) + 2*s(n). What is the remainder when 60 is divided by l(-8)?
8
Let y(w) = 3*w**2 + 101*w + 436. What is the remainder when 26 is divided by y(-5)?
2
Let o(x) = 8*x - 18. Let k be o(1). Calculate the remainder when 24 is divided by ((-3)/(-4) - 15/12)*k.
4
Suppose 0 = 5*j, 0 = -5*u + 5*j - 7*j - 125. Let o be ((-20)/u - 2)/((-9)/30). Calculate the remainder when (36 - 2) + (o + -3)*1 is divided by 9.
8
Let g(q) = 6*q**2 + 39*q + 3. Let j be g(-7). Suppose -17*d - j = -5*d. Let y(r) = -4*r**3 - 3*r**2 - r - 2. What is the remainder when 73 is divided by y(d)?
13
Let i = 5830 + -5792. Calculate the remainder when 1250 is divided by i.
34
Let q = -1002 - -1020. What is the remainder when (7/21)/(1/138) is divided by q?
10
Let a(w) = -w**2 - 22*w - 61. Suppose -2*m - 30 = 2*x, 50 = -5*m - x - 25. What is the remainder when a(m) is divided by 13?
5
What is the remainder when ((-21489)/26)/(6/(-4)) is divided by 190?
171
Let d(w) = w**3 - 5*w**2 + 4*w + 11. Let n(t) = 27*t - 4. Let m be n(-3). Let l = m + 174. Calculate the remainder when l is divided by d(5).
27
Suppose 1310 = 5*z + 5*s, -2*z + 3*s = 2*s - 539. Suppose 6*k + 1639964 = 1640234. What is the remainder when z is divided by k?
42
Suppose -297 - 268 = -5*i. Suppose q - 2*t - 52 = 0, 0 = 608*q - 611*q - 4*t + 86. What is the remainder when i is divided by q?
37
Let m be -28 + 23 + (163 - -4). Let i(g) = -3*g + 5. Let n be i(-5). Suppose -n*v + m = -138. What is the remainder when 28 is divided by v?
13
Let l(t) = -3*t**3 - 14*t**2 + 32*t - 38. What is the remainder when l(-7) is divided by (1*3)/((-2)/(-2))?
0
Let b(a) = -3*a**2 - 51*a - 24. Suppose -59 + 134 = -5*r. Calculate the remainder when b(r) is divided by 18.
12
Let i(h) = -7*h**2 + 18*h + 2. Let z(y) = 8*y**2 - 12*y - 1. Let p(b) = 2*i(b) + 3*z(b). Calculate the remainder when 148 is divided by p(1).
5
Let n(w) = 4*w**3 - 14*w**2 - 117*w - 11. What is the remainder when n(12) is divided by 434?
9
Let u(c) = c**2 - 7*c + 4. Let o be u(7). Calculate the remainder when 286 is divided by (-1)/(0 - o/144).
34
Let r(t) = 344*t - 733. What is the remainder when 2695 is divided by r(3)?
4
What is the remainder when 5989 is divided by ((-40)/(-24))/(2/6) - (-9 - 93)?
104
Let y = 1045 + 204. Calculate the remainder when y is divided by 25.
24
Let n = 341 - 249. Let z = -45 + n. Let m = 92 - -46. Calculate the remainder when m is divided by z.
44
Suppose -3*n + 94 = 2*t, 13*t - 10*t + n - 162 = 0. What is the remainder when 79 is divided by t?
23
Suppose 44 = -3*g + 137. Let f = -626 - -625. What is the remainder when g is divided by (-3 + 19 - f)*1?
14
Let r = 8493 + -8472. Calculate the remainder when 1039 is divided by r.
10
Let j(q) = 78*q**2 - 47*q + 31. Let t(r) = 26*r**2 - 17*r + 11. Let l(f) = 3*j(f) - 8*t(f). Calculate the remainder when l(-3) is divided by 5.
4
Suppose -472 = 19*y - 4*y - 922. Let d(q) = 35*q + 3. Calculate the remainder when d(5) is divided by y.
28
Let o(x) = 3*x - 90. Let c be o(30). Suppose -6*m + 3*m + 33 = c. Suppose 0 = -m*z + 538 + 386. What is the remainder when z is divided by 29?
26
Let k be (-36)/54 + (8/(-6) - 1). Let l be (5446/6)/(-7) + 1/k. Let w = l - -229. Calculate the remainder when w is divided by 20.
19
Let q(o) = -2*o. Let g(c) = 7*c + 13. Suppose -v - 8 = -2*m + 2, 5*v = -m - 50. Let t(r) = v*q(r) - 2*g(r). Calculate the remainder when 9 is divided by t(5).
1
Let s(d) = -321*d + 6032. Calculate the remainder when s(18) is divided by 16.
14
Suppose 3*m = 3*d + 282, 29*m - 33*m - 2*d + 364 = 0. What is the remainder when 456 is divided by m?
88
Suppose -6*v - 5*f - 38 = -9*v, 0 = 2*f - 10. What is the remainder when -219*4/(-9)*57/38 is divided by v?
20
Let d = 102 - 68. Suppose -3*i = 4*c - 188, -2*i - 3*c = -d - 93. Let y = i + 9. What is the remainder when y is divided by 18?
11
Let p = 384 - 279. Suppose -5*z - 2*t = 2*t - 37, 4*t = -3*z + 19. What is the remainder when p is divided by z?
6
Suppose -23*t + 28*t = 2495. Suppose -t*o = -505*o + 78. Calculate the remainder when 79 is divided by o.
1
Let x(v) = 21*v**3 - 208*v**2 - 7*v + 4. Calculate the remainder when 365 is divided by x(10).
97
Let a be (-5)/10 + (-93)/(-6) + -1. Let b be 1/(3*2/42). Suppose -6*k = -b*k + a. Calculate the remainder when 80 is divided by k.
10
Calculate the remainder when 608 is divided by 17 - 7/((-7)/4).
20
Suppose -230*r - 74875 = -344*r + 16553. Calculate the remainder when r is divided by 18.
10
Suppose z = 5*k + 29, 44*k = -5*z + 49*k + 125. Calculate the remainder when 2446 is divided by z.
22
Suppose 0 = -10*f + 475 + 285. Let b = -282 + 306. What is the remainder when f is divided by b?
4
Calculate the remainder when (-1 - -1) + (-15)/2*5792/(-24) is divided by 6.
4
Suppose 7004 = -2*f + y, -6049 = -4*f + y - 20053. Suppose 0 = -5*z + 27 + 18. Calculate the remainder when f/(-84) - (-1)/3 is divided by z.
6
Suppose 23*s = 25*s - 6. Suppose -5*u - 2 = -i, 3*u = s*i - 2*u - 16. What is the remainder when 28 is divided by i?
0
Let i(x) = -106*x - 591. Calculate the remainder when 246 is divided by i(-7).
95
Let k be ((-4)/5)/((-10)/25). Suppose k*r - 3 = 1. Let z = 5 + -2. Calculate the remainder when z is divided by r.
1
Let a = 445 + -429. Let d(n) = -16*n - 12. What is the remainder when d(-5) is divided by a?
4
Suppose 191*k + 1494 - 4046 = 75*k. What is the remainder when ((-197)/2)/(2/(-4)) is divided by k?
21
Let o = -14931 - -15002. Calculate the remainder when o is divided by 26.
19
Suppose 7*v + 15 = 2*v. Let a(q) be the second derivative of -q**3 - 6*q**2 + 90*q. What is the remainder when a(v) is divided by 5?
1
Suppose -4*g + 1944 + 360 = 0. Suppose 0 = -572*q + g*q - 52. Calculate the remainder when 506 is divided by q.
12
Suppose 4*z + 4*u - 239 - 221 = 0, -2*z + u = -218. Suppose 474*o - 256*o + 11075 = 243*o. Calculate the remainder when o is divided by z.
110
Suppose -35*s + 16088 = -7*s - 4044. Suppose -5*k = -39 - 201. Calculate the remainder when s is divided by k.
47
Suppose -t - 1210 + 1194 = 0. Let u = t + 54. What is the remainder when u is divided by 22?
16
Calculate the remainder when (-2 + (-5236)/153)*-18 is divided by 647.
5
Calculate the remainder when 743 is divided by (-14)/(-1008)*24*334*3.
75
Let r be (10/(-20))/(2/(-28)). Suppose -r*q - 80 = -12*q. Calculate the remainder when 143 is divided by q.
15
Suppose 11*a - 1