9*u - 2. Suppose 22*j - 17 = 21*j. Calculate the remainder when v is divided by z(j).
29
Let b(t) = -3*t**2 + 46*t - 5. Let p be b(15). Suppose l = -3*l + 144. Suppose 7*w = p*w - l. What is the remainder when 21 is divided by w?
9
Let l = 179 - 147. Suppose -l*v - 147 = -39*v. Let t = -42 + 104. Calculate the remainder when t is divided by v.
20
Let p(a) = a**2 - a + 2. Let n be p(-2). Let w = -14 + n. Calculate the remainder when 13 is divided by w/(-9) + (-39)/(-9).
3
Suppose -f + 5*f + 4 = 0. Let n be 1 - 2/2*f. Suppose -3*u - 2*t - 11 = -4*u, n*u - 5*t - 19 = 0. Calculate the remainder when u is divided by 5.
2
Suppose -8*w - 20 = -3*w. What is the remainder when 2 is divided by (-4 - -1) + w/(-1)?
0
Let g(n) = 3*n + 107. Calculate the remainder when 18 is divided by g(-33).
2
Let h(q) = 2*q + 12. Calculate the remainder when 70 is divided by h(14).
30
Suppose c - 375 = -2*a, -837 - 1052 = -5*c - 3*a. Calculate the remainder when c is divided by 3.
1
Let h(p) = p**2 + p - 2. Let d be h(2). Let c be ((-4)/(-3))/(d/(-6)). What is the remainder when c + 1 + (-513)/(-9) is divided by 29?
27
Let u = -436 + 456. What is the remainder when u is divided by 14?
6
Let m = 31 + -10. Suppose 5*t - m - 54 = 0. Let v(b) = -3*b + 5. What is the remainder when v(-8) is divided by t?
14
Let f(o) = o**3 - 40*o**2 + 44*o - 64. Let h(x) = x**3 - 8*x**2 - 3*x - 10. What is the remainder when f(39) is divided by h(9)?
43
Let q(p) = 2*p**2 + 5*p - 1. Suppose -31*b + 33*b = -10. Calculate the remainder when q(b) is divided by 9.
6
Suppose -2 = -2*g, 5*l - 82 = 2*g - 4*g. Suppose k = -3*k + l. What is the remainder when 62 is divided by 1/(-2) - (-66)/k?
14
What is the remainder when -34*(-102)/30*(-20)/(-8) is divided by 72?
1
Suppose -17 = 3*r + 4*d, -3*r + 3*d + 10 = -8. Let s(h) = 35*h + 4. What is the remainder when 155 is divided by s(r)?
38
Suppose 5*x - i - i - 703 = 0, x - 5*i - 159 = 0. Let g = -5146 + 5160. Calculate the remainder when x is divided by g.
13
Calculate the remainder when (-4)/6*((-8370)/4)/9 is divided by 77.
1
Let o = 4313 + -4216. Suppose -5*s = -4*f - 113, 6 = 4*f - 6. Calculate the remainder when o is divided by s.
22
Suppose -21*l = -3*l - 468. Calculate the remainder when 60 is divided by l.
8
Let u(c) = c**3 - 11*c**2 + 12*c - 6. Calculate the remainder when 46 is divided by u(10).
4
Let a(n) = n**3 - 9*n**2 - 9*n - 4. What is the remainder when 185 is divided by a(10)?
5
Let f = -36 + 59. Let r = 56 - f. Let b = r - 12. Calculate the remainder when 82 is divided by b.
19
Suppose 12*o - 4*y - 145 = 9*o, o = -y + 53. What is the remainder when 356 is divided by o?
50
Let i = 110 + -93. Suppose 12*d = i*d - 120. What is the remainder when 165 is divided by d?
21
Suppose -w = -u + 4, 12 = 2*u + u + 3*w. Let f be (-1408)/(-99) - u/18. Let a = f - -97. Calculate the remainder when a is divided by 28.
27
Suppose -3*n + 125 = -5*l, -n + 3*l = -5*n + 186. Calculate the remainder when 133 is divided by n.
43
Let h(p) = -5*p + 47. Let k be h(16). Let g = k - -58. What is the remainder when 59 is divided by g?
9
Let c(j) be the third derivative of -j**4/24 + 25*j**3/2 + 5*j**2. What is the remainder when c(0) is divided by 38?
37
Suppose 57*p + 330 = 68*p. What is the remainder when 349 is divided by p?
19
Let c(v) = v**3 - 6*v**2 - 1 + 0*v**3 + 4 - 12*v. Let p = -165 + 174. What is the remainder when c(8) is divided by p?
8
Let w(f) = -f**2 - 5*f + 5. Let j be ((-14)/8 - -3)*-4. Let m(x) = 5*x + 8. What is the remainder when m(2) is divided by w(j)?
3
Let s be (4 - -2) + -2 - -2. Let z = -2 + s. Suppose -9 = -f - d, z*f + 3*d = -0*f + 37. Calculate the remainder when 38 is divided by f.
8
Suppose -3*z + a - 48 = -2*a, -3*z + 5*a = 52. Let i(g) = -g - 9. What is the remainder when (3 + -2)*(-3 - -10) is divided by i(z)?
2
Let p be (-2)/(2/(-9)) + 2. Let x = p - 3. Calculate the remainder when x is divided by (2/4 + (-25)/30)*-15.
3
Suppose -2*f = -18 - 20. Let z(u) = u**2 - u - 1. Suppose -9 = -4*q - v, -2*v - 3*v - 15 = 0. Calculate the remainder when f is divided by z(q).
4
Suppose 560 = -14*a + 812. Let g(s) = s**2 + 5*s - 7. What is the remainder when a is divided by g(-7)?
4
Let n = -16 + 50. Suppose c + 4*j - 6 - 11 = 0, j = -2*c + n. Calculate the remainder when 30 is divided by c.
13
Let q(l) = 2*l + 1. Let v be q(1). Let a = 11 + v. Calculate the remainder when 23 is divided by a.
9
Let s(u) = -u**3 - u**2 - 3*u + 6. Calculate the remainder when 21 is divided by s(0).
3
Let z = 77 - 62. Suppose -57 = -6*p + z. Let r = 5 + -2. Calculate the remainder when p is divided by r.
0
Suppose -6*t + 8*t - 3*i = 10, -t + 3*i = -5. Calculate the remainder when 408 is divided by t.
3
Let n be (4/(-16))/((-2)/8)*0. What is the remainder when 207 is divided by (-6 + 1)*(n + -6)?
27
Let z = -34 - -18. Let f = z - -33. Calculate the remainder when f is divided by 9.
8
Let u = 39 + -19. Let n(t) = 2*t**2 + 54*t - 319. Calculate the remainder when n(6) is divided by u.
17
What is the remainder when 38 is divided by (-54)/(-72) + 98/8?
12
Let g = -32 - -32. Suppose g = -4*c - 32 + 212. Calculate the remainder when c is divided by 17.
11
Suppose -11 = 5*x - 41. Let q = x - 2. Suppose 0 = -2*c + 3*d + q + 18, -c = 4*d + 11. What is the remainder when c is divided by 4?
1
Suppose -34 = -5*t + 11. Suppose -5*k + 18 = -2. Calculate the remainder when t is divided by k.
1
Let k(f) = f**2 + 10*f - 1. Let z be k(-8). Let r be (z/2)/((-3)/18). Suppose -r = -3*g + 3. Calculate the remainder when 69 is divided by g.
15
Let a = 4 + -1. Suppose 3*k = 3*u - 111, 4*u + a*k + 2*k = 148. Calculate the remainder when u is divided by (-1 + 1 - -13)*1.
11
What is the remainder when 2596/55 - (-8)/10 is divided by 25?
23
Let i = 38 - 20. What is the remainder when (10 - 4)/(-6) + 52 is divided by i?
15
Suppose -3*z = -5*b + 430, 42*z + 172 = 2*b + 40*z. What is the remainder when 341 is divided by b?
83
Let n(l) = -2*l + 16. Let j be n(7). Let h be 1/j + (-245)/(-14). Suppose -h = 2*y - 3*y. What is the remainder when y is divided by 5?
3
Suppose -248*w + 264*w - 64 = 0. Calculate the remainder when 20/2*(-6)/(-5) is divided by w.
0
Suppose -3*t - 3*u - 1038 + 8760 = 0, -5*t = -4*u - 12843. Calculate the remainder when t is divided by 78.
75
Let i = 11 - 17. What is the remainder when (6/i)/(2/(-14)) is divided by 2/7 - (-38)/14?
1
Let r(n) = n**3 - 7*n**2 - 3*n - 1. What is the remainder when 172 is divided by r(8)?
16
Let b(i) = -i + 17. Let t be b(4). Suppose 2*o = t + 39. Calculate the remainder when o is divided by 6.
2
Suppose h - 2*n - 119 = -0*h, -h - 4*n = -113. Suppose -i - 4*i = -75. What is the remainder when h is divided by i?
12
Suppose -12*q = -177 - 111. What is the remainder when 75 is divided by q?
3
Let l(s) = 15*s**2 - 59*s + 18. Calculate the remainder when l(7) is divided by 94.
58
Let r = 18 + -14. Suppose 5*b = -r*k + 92, 5*k = -b + 12 + 19. Suppose 4*o = 4*m + 6*o - 190, 110 = 3*m - 5*o. What is the remainder when m is divided by b?
13
Let i = -272 - -376. Calculate the remainder when i is divided by 37.
30
Let c be ((-12)/(-8))/((-3)/(-10)). Let n = c - 5. Suppose n = -5*i - 44 + 134. Calculate the remainder when 53 is divided by i.
17
Suppose 3*u = -r + 28, 0 = -4*r - 3*u - 316 + 428. What is the remainder when 43 is divided by r?
15
Let v = 28 + -11. Let f(g) be the second derivative of g**5/20 + 7*g**4/12 + 5*g**3/6 + 3*g**2/2 - 12*g. What is the remainder when v is divided by f(-6)?
8
Suppose 4*k = -5*u - 221 - 247, -3*k + 9 = 0. Let v = -66 - u. Let t = -152 - -168. What is the remainder when v is divided by t?
14
Let d = 149 + -242. Let w = d + 114. Calculate the remainder when 78 is divided by w.
15
Let z = -31 + 94. Let f = -67 + 158. Suppose 2*b = 3*x + 41, 5*b + 5*x - f = 24. Calculate the remainder when z is divided by b.
19
Suppose 0 = -23*l + 41*l - 2430. What is the remainder when l is divided by 54?
27
What is the remainder when 99 is divided by ((-1950)/(-104))/(6/16)?
49
Let v(i) = 2*i**2 - i. Let s = -1 - -2. Let k(z) = -43*z - 213. Calculate the remainder when k(-5) is divided by v(s).
0
Let y(a) be the third derivative of -a**5/60 - 5*a**4/8 - 13*a**3/6 + 29*a**2. What is the remainder when 92 is divided by y(-11)?
30
Let 