*v - 45. Calculate the remainder when z is divided by l(27).
8
Let l(n) = -91*n - 70. Let j(d) = 18*d + 14. Let h(m) = -11*j(m) - 2*l(m). Let g be h(-6). Let t = g - 48. What is the remainder when t is divided by 9?
7
Let i = 492 - 479. Calculate the remainder when 19 is divided by i.
6
Let j(h) be the third derivative of -13*h**4/24 + h**3/6 + 3*h**2. Let f be j(1). Let y = -4 - f. Calculate the remainder when y is divided by 5.
3
Let k(i) = 15*i + 111. What is the remainder when 272 is divided by k(-6)?
20
Let n = 202 - 142. What is the remainder when n is divided by 2?
0
Let s(u) = 22*u + 162. Calculate the remainder when 55 is divided by s(-7).
7
Suppose -3*j + 0*x + 460 = x, 3*j + 2*x = 458. Let i = 107 + -68. What is the remainder when j is divided by i?
37
Suppose -211*v = -223*v + 2448. What is the remainder when v is divided by 42?
36
Suppose w + w = 0. Suppose w = 5*o - n - 34, -5*o = 2*n - 6 - 31. What is the remainder when 61 is divided by o?
5
Let v(z) = -16*z - 23. What is the remainder when 49 is divided by v(-3)?
24
Suppose 0 = -b - 0*r + 4*r + 91, -4*b - r + 279 = 0. What is the remainder when b is divided by (96/28)/(3/21)?
23
Suppose -4*f + 2*x = x - 158, -2*f - x + 82 = 0. What is the remainder when 237 is divided by f?
37
Suppose v - 3*y = 7 + 5, 0 = v - 2*y - 8. Suppose -5*f + 70 + 45 = v. What is the remainder when f is divided by 8?
7
Let f be (-8)/12 - 222/(-9). Let r = f - 23. Calculate the remainder when 63 is divided by 66*4/12*r.
19
Let w(p) = -70*p - 2. Let k be w(-2). Let c = -7 - -10. Suppose 0*a + k = c*a. Calculate the remainder when a is divided by 16.
14
Suppose -2*l + 2181 = 5*r - 1059, 0 = 2*r - 3*l - 1277. Calculate the remainder when r is divided by 72.
70
Let l(w) = w**3 - 10*w**2 - 10*w + 11. What is the remainder when 772/12 - 1/3 is divided by l(11)?
20
Let p(k) = 2*k. Let q be p(4). Suppose 0 = -3*r + q + 7. Let n(l) = -4*l**2 - 22*l + 15. Calculate the remainder when r is divided by n(-6).
2
Let a = -15 + 7. Suppose -31592 = -20*x - 24*x. Calculate the remainder when a/28 + x/14 is divided by 13.
12
Suppose -18*u + 265 = -401. Calculate the remainder when 215 is divided by u.
30
Let u(w) = -w**2 + 9*w - 4. Suppose -5*y - 9 - 36 = 0. Let l = -1 - y. Calculate the remainder when 5 is divided by u(l).
1
Let o(h) = -5*h + 669. Let s be o(0). Suppose 0 = 24*q - s - 2379. What is the remainder when q is divided by 43?
41
Let a(c) = -2*c**2 + 28*c - 37. What is the remainder when 29 is divided by a(12)?
7
Let f = -553 - -545. Let g(l) be the second derivative of -l**4/12 - 11*l**3/6 - 9*l**2/2 + l. What is the remainder when g(f) is divided by 6?
3
Suppose 19*a = 25 + 963. What is the remainder when a is divided by 23?
6
Let d(f) = -f**3 + 4*f**2 + 5*f - 6. Let h = 189 + -122. What is the remainder when h is divided by d(4)?
11
Suppose v + 948 = 3*v. Let b be v/8 + (-8)/32. Calculate the remainder when 58 is divided by b/3 + (-13)/(-39).
18
Let n = 41 - 87. Suppose -2*p = 6*p - 48. What is the remainder when (0 - n/8)*4 is divided by p?
5
Calculate the remainder when 32 is divided by ((-80)/25)/((-10)/75).
8
Let r(w) = -29*w + 40. Calculate the remainder when r(-6) is divided by 31.
28
Suppose -86*a + 7284 = -20064. What is the remainder when a is divided by 112?
94
Suppose v - 30 = 13. Suppose 0 = -2*z + 114 + 54. What is the remainder when z is divided by v?
41
Let p = 260 - 231. Calculate the remainder when p is divided by 3.
2
Suppose 27 + 69 = 8*f. Calculate the remainder when 173 is divided by f.
5
Let j(q) = -q. Let y be j(-5). Suppose -100 = -k - 4*r, -2*k - 266 = -y*k + 5*r. What is the remainder when k is divided by 24?
20
Suppose 0 = -7*o + 10*o - 9. Suppose -5*y + o = -57. Let q = y + -6. What is the remainder when 23 is divided by q?
5
Let v(c) = -c**2 - c + 131*c**3 + 2*c**2 + 3*c + 1 - 4*c. Calculate the remainder when v(1) is divided by 22.
21
Let u(l) = -4*l + 202. What is the remainder when u(-21) is divided by 35?
6
Suppose p = 3*o + 39, -3*p + 0 = -3*o - 99. Calculate the remainder when 206 is divided by p.
26
Suppose -25*a + 6396 = -1004. What is the remainder when a is divided by 51?
41
Let l(p) = -4*p - 5. Let v be (-1)/(-4) - 3090/(-24). Let u = v + -58. What is the remainder when u is divided by l(-6)?
14
Suppose -i + 3*x = -x - 92, -6*x - 308 = -4*i. Suppose 0 = -2*f + f + 36. What is the remainder when i is divided by f?
32
Suppose 0*m = 5*m - 2*n - 881, -m = -3*n - 171. Suppose -a + m = -0*f + 5*f, 0 = -4*f + a + 138. Calculate the remainder when f is divided by 18.
17
Let p = 89 - 29. Suppose -w = -0*w - 31. What is the remainder when p is divided by w?
29
Let c(o) = -o**2 + 6*o - 1. Let v(d) = -d - 5. Let a be v(-10). What is the remainder when 13 is divided by c(a)?
1
Let d(w) = -w**3 + 6*w**2 - 6*w + 11. Let j be d(5). Let o be ((-44)/j)/((-3)/(-9)). Let v = o + 47. Calculate the remainder when 72 is divided by v.
22
Let t(s) = s**3 - s**2 + 4. Let k be t(0). Suppose 0*g - g - 2*z - 12 = 0, 0 = -k*g - z - 27. Calculate the remainder when 10 is divided by g*1/(0 - 1).
4
Let k(f) = f**3 + 9*f**2 + 11*f + 5. Let h be k(-5). Let q be 26/(-4)*(h - 0). What is the remainder when q/39*(-4 + 1) is divided by 14?
11
Let o(l) = -3*l**3 + l**2 + 6*l + 11. What is the remainder when o(-2) is divided by 15?
12
Let c(t) = -6*t + 12. Let z be c(-2). Suppose 4*d - z = -4. What is the remainder when 31 is divided by d?
1
What is the remainder when 96 is divided by (-4 + -1)/((-474)/(-60) + -8)?
46
Suppose -136 = -4*w + 2*k, 3*k - k + 4 = 0. Let q = w - 21. Suppose 4*i - 73 = 207. What is the remainder when i is divided by q?
10
What is the remainder when 3/2*(-6200)/(-75) is divided by 18?
16
Let q = -467 - -594. Calculate the remainder when q is divided by 26.
23
Suppose -161 = -j - 142. What is the remainder when 56 is divided by j?
18
Let r(q) be the third derivative of q**5/20 - 11*q**4/24 + 4*q**3 - 21*q**2. What is the remainder when r(6) is divided by 18?
12
Let k = -56 + 59. Let d(r) = r + 2. Let j be d(3). Suppose -2*z - 13 = -j*a, 3 = a - 2*z + 2. Calculate the remainder when k is divided by a.
0
Let t = -95 + 245. What is the remainder when t is divided by 31?
26
Let m(q) = 51*q**2 + q + 1. Let r = -418 - -445. Calculate the remainder when m(-1) is divided by r.
24
Let y be 3/1 + 3 + 1 + -2. What is the remainder when 65 is divided by (243/36)/((15/12)/y)?
11
Let v be 4 - 7 - (7 - 2). Let i = 58 - 35. Let k = i - v. What is the remainder when k is divided by 16?
15
Suppose -3*t = t - 3*v - 209, -54 = -t - v. Let d(z) = 19*z**2 - 12*z + 4. What is the remainder when d(-2) is divided by t?
51
Let m be -3 + 0 - (0 + 11). Let f be 2*6 + m/14. Suppose -y - 4*p = -6*y + 79, y - f = 2*p. What is the remainder when 74 is divided by y?
17
Let a(w) = 2*w**3 + 22*w**2 + 14. Calculate the remainder when 109 is divided by a(-11).
11
Let o = 6 - 0. Suppose -2*f + 5 + 4 = k, -o = 3*f. Suppose 239 = 5*p - 3*c, 2*c - 235 = -5*p + 7*c. Calculate the remainder when p is divided by k.
10
Let g = 721 - 545. Calculate the remainder when g is divided by 28.
8
Suppose 124 = -3*z - 29. Let x = z + 71. What is the remainder when 36 is divided by x?
16
Let a = -18 - -120. Suppose 0 = 4*x - l - 0*l - 313, 0 = -x + 5*l + a. Calculate the remainder when x is divided by 16.
13
Suppose 2*d = -10*d + 84. What is the remainder when 36 is divided by d?
1
Suppose 2*g = 4*y + 10 - 2, 4*y + 4*g - 16 = 0. Suppose 5*n - 87 + 2 = y. Suppose 3*b + 93 = 6*b. Calculate the remainder when b is divided by n.
14
Suppose 0 = 2*k - 3*k + 15. Suppose -33*o = -31*o - 84. What is the remainder when o is divided by k?
12
Suppose 5*d + 387 = 5*j + 12, 5*j = 3*d + 381. Calculate the remainder when j is divided by 33.
12
Let o(t) be the first derivative of -t**4/4 + 5*t**3 + 21*t**2/2 - 28*t - 4. Suppose 2*i - 4 = 32. What is the remainder when o(16) is divided by i?
16
Let f(p) = -p**3 - 8*p**2 + 3*p + 10. Let o(s) = 2*s - 2*s - 8*s**2 + 7*s**2. Let h be o(-3). What is the remainder when f(h) is divided by 22?
20
Let s(w) = 3*w**3 - 8*w**2 + w - 1. Let j be s(3). Suppose -j = 2*z - 3*g - 48, 0 = -z - g + 6. Calculate the remainder when 31 is divided by z.
9
What is the remainder when 2/4 - (16 + 5175/(-18)) is divided by 92?
88
