8). Suppose 0 = u + u - p. What is the remainder when 32 - ((-7)/(-3) - (-16)/(-12)) is divided by u?
4
Let z = -168 + 179. Let t(w) = w**2 + 6*w + 12. What is the remainder when t(-8) is divided by z?
6
Suppose -166 = 6*m - 1642. What is the remainder when m is divided by 87?
72
Let h = -41 + 47. Let o = h + 20. What is the remainder when 153 is divided by o?
23
Let m be 2 + (-3 + 2)/(-1). Let c = 9 - m. What is the remainder when (c/(-4))/(9/(-18)) is divided by 3?
0
Suppose -4*t + 206 = -94. What is the remainder when t is divided by 15*49/21 - (-4 + 0)?
36
Let k(n) = 68*n - 24. What is the remainder when k(3) is divided by 13?
11
Suppose 72 = 3*j - 3*h, 4*j = 6*j + 5*h - 62. Calculate the remainder when j is divided by 6.
2
Let q = -3 - -7. Suppose 0 = -0*l - 3*l - q*m + 143, l - m - 43 = 0. Suppose -4*k + 20 = 0, 19*d - 69 = 15*d - k. What is the remainder when l is divided by d?
13
Suppose l + 2381 = u, -7*u - 3*l = -2*u - 11865. Calculate the remainder when u is divided by 20.
16
Let h(t) = 2*t - 5. Let r be h(-5). What is the remainder when ((-10)/r)/((-2)/(-45)) is divided by 35/4 - 3/4?
7
Calculate the remainder when (2/6 + 1)*-12*-4 is divided by 19.
7
Let o(h) = -4*h**2 - 47*h + 65. Let f(c) = 3*c**2 + 31*c - 43. Let y(r) = -7*f(r) - 5*o(r). What is the remainder when 21 is divided by y(16)?
5
Let n(v) = 224*v - 792. Suppose 2*k = 5*k - 63. What is the remainder when n(4) is divided by k?
20
Let o(b) = b**3 + 6*b**2 + 7*b + 6. Let x = 114 - 65. Calculate the remainder when x is divided by o(-4).
9
Suppose 14 = 2*g - 8. Calculate the remainder when 90 is divided by g + -8 - (-8)/2.
6
Suppose -6*t + t + 175 = 0. Suppose 0 = -365*o + 361*o + 552. Calculate the remainder when o is divided by t.
33
Let x be -99 - (0 + 0 - (-5)/5). Let i = x + 263. Calculate the remainder when i is divided by 42.
37
Suppose 1 = 3*c - h, 0 = -3*c - 5*h - 8 + 3. Suppose c = 3*f - 4*f - 4*l + 24, 5*l - 15 = 0. What is the remainder when 47 is divided by f?
11
Suppose 26 = 2*y + 10. Let r(u) = -u**2 + 9*u - 4. What is the remainder when 7 is divided by r(y)?
3
Suppose 4*r + 4*c - 1104 = 0, 1083 = 4*r - c - 2*c. What is the remainder when r is divided by 25?
23
Suppose -2*a = 5*l - 3*l - 24, 3*a - 2*l = 36. Let r = -8 + 4. Calculate the remainder when a is divided by 24/(-9)*6/r.
0
Suppose k + 2*v = 6*v - 11, 30 = 2*k + 5*v. What is the remainder when 17 is divided by k?
2
Let s(z) = 42*z**2 - z + 1. Let i be s(-1). Suppose -2*q = -6*q + i. Let w = -2 - -22. Calculate the remainder when w is divided by q.
9
Calculate the remainder when 100 is divided by 17 - 0/((-16)/(-4)).
15
Let d(c) = -9*c**2 + 12*c**2 + 3*c - 2*c. Let v be d(-1). Suppose 0 = v*t - 17 - 19. What is the remainder when 51 is divided by t?
15
Let q = 79 - -4. What is the remainder when q is divided by 17?
15
Calculate the remainder when 117 is divided by (-1)/1 + -1 + 0 + 63.
56
Let d = 775 - 766. Calculate the remainder when 17 is divided by d.
8
Suppose -4*i = -20, -6*b = -7*b - 5*i + 64. Calculate the remainder when 71 is divided by b.
32
Suppose -2*l = n - 0*n - 19, -n + 27 = 3*l. Let c(u) = 2*u**2 - 9*u - 14. Let y(z) = -z**2 - 7*z + 5. Calculate the remainder when c(l) is divided by y(-6).
9
Suppose 5*n + 3*b = 192 + 212, 3*n = -b + 240. Suppose n = 4*u - 477. Calculate the remainder when u is divided by 35.
34
What is the remainder when (-4 + 5 + 15)*(-21)/(-3) is divided by 29?
25
Let n(g) = -g**3 - 23*g**2 - 24*g - 22. Suppose 4*p + 49 + 39 = 0. What is the remainder when n(p) is divided by 13?
9
Let s be 43*(-4 + 7 + -4). Let n = 89 + s. What is the remainder when 183 is divided by n?
45
Suppose 3*h - 279 = 5*y + 515, 0 = -5*y + 25. What is the remainder when h is divided by 12?
9
Suppose -2*u + 2*x + 120 = 0, -4*u + 216 = -0*x + 2*x. What is the remainder when 71 is divided by u?
15
Let q(m) = m - 1. Let r be q(-2). Let a(i) = 8*i**2 - 3*i - 1. What is the remainder when a(r) is divided by 0 - -21 - (-10)/40*0?
17
Let n = -205 - -240. What is the remainder when 314 is divided by n?
34
Suppose -22*z = -20*z - 10. Let h = z + 6. Calculate the remainder when 2/8 + 127/4 is divided by h.
10
Let w = -15 - -18. Suppose 2*n - 195 = -w*a, -2*a - n = 3*a - 318. What is the remainder when a is divided by 16?
15
Let i = -16 - -24. Suppose -2*l + i = -5*q + 21, 0 = -4*q + 20. What is the remainder when 22 is divided by l?
4
Let j = -35 - -41. Let t be 15/j*79*2. Suppose -5*a - 5*y = -138 - 297, 3*y = 5*a - t. Calculate the remainder when a is divided by 28.
26
Let m be (-6)/8 + 1086/8. Let k = -91 + m. Let v(p) = -5*p. What is the remainder when k is divided by v(-3)?
14
Let h(r) = r**3 + 6*r**2 - 2*r - 6. Let f be h(-6). Let d = 105 - -70. Suppose s = f*s - d. Calculate the remainder when s is divided by 9.
8
What is the remainder when (((-135)/6)/(-3))/((-1)/(-2)) is divided by 15?
0
Let t(h) = -10*h**2 + 2*h - 4. Let q be t(3). Let g = -57 - q. Suppose g = 2*m + 9. Calculate the remainder when 31 is divided by m.
9
Let i(o) = -o + 9. Let w = 33 - 36. Calculate the remainder when 34 is divided by i(w).
10
Let g(l) = -7*l**3 - 2*l**2 + 1. Let o be g(-1). What is the remainder when -1 + (-1)/(3/(-30)) is divided by (-15)/o*(-2)/1?
4
Let d(s) be the third derivative of s**4/24 + 11*s**3/6 - 17*s**2. Suppose -44 = -2*m + m. Calculate the remainder when m is divided by d(4).
14
Suppose 36 - 256 = -5*z + 5*u, 5*u + 94 = 2*z. What is the remainder when z is divided by (1/1)/((3/(-21))/((-22)/7))?
20
What is the remainder when (-2325)/(-40) - (-13)/(-104) is divided by 12?
10
Suppose 5*s + 21 = -2*l, -s + 2 - 3 = 2*l. Suppose 4*j + 3*p - 62 = 0, j - 49 = -l*j - p. Calculate the remainder when j is divided by 4.
1
Let q = 174 + -12. Calculate the remainder when q is divided by 33.
30
Suppose -3*i - 8 = -7*i. Suppose -6*r + i = -16. Suppose 2*k + 24 = 2*w, -w + 12 = -0*w - r*k. What is the remainder when 22 is divided by w?
10
Let n(v) = -3*v + 8. Let r be n(5). Let w = r - -10. Suppose 2 + 2 = 4*z, w*z + 72 = 5*a. Calculate the remainder when 42 is divided by a.
12
Suppose 5*o + 0*o - 8 = 3*s, 4*s - 28 = -3*o. Suppose -4*f = 2*x - f - 17, 35 = s*x + 5*f. Let z = x - 5. What is the remainder when 8 is divided by z?
3
Suppose 0 = -2*f - 2, -3*p + 2*f + 21 = -2*p. Let d(n) = n**2 - 2*n - 4. Let t be d(-6). Suppose -h - 3*h = -t. What is the remainder when p is divided by h?
8
Let j be 1 + (-4)/((-8)/(-14)). Let h be 1314/(-15) + j/15. Calculate the remainder when 21 is divided by h/(-14) - 20/70.
3
Let b(m) = -2*m. Let n be b(-2). Suppose -2*k + 6*k - 5*y = 113, -n*y = 4*k - 140. What is the remainder when k is divided by 11?
10
Suppose -m + 0 = 2, -79 = 3*u - 4*m. Let t = 36 + u. What is the remainder when 47 is divided by t?
5
Let z(p) = -p**2 - 14*p - 23. Calculate the remainder when 489 is divided by z(-10).
13
Suppose -11493*r - 42 = -11500*r. Suppose -3*n = 2*x - 76, -x = -3*n + 61 - 0. What is the remainder when n is divided by r?
4
Suppose -5*m + 14 = -2*b, 32 = 5*m + 12. What is the remainder when b is divided by ((-4)/(-6))/((-14)/(-21))?
0
Suppose -4*g + 195 = 11*g. What is the remainder when 101 is divided by g?
10
Let t(l) = -l**3 - l**2 + 52. Let z be t(0). Suppose 0 = 3*j + 4*q - z, -4*q + 9 = 4*j - 59. What is the remainder when 108 is divided by j?
12
Suppose 3*z + 3*m - 438 - 69 = 0, 177 = z + 5*m. What is the remainder when z is divided by 63?
41
Let w(r) = -r**3 - 10*r**2 + 3. Let s be w(-10). Suppose k - s*k = -50. Suppose -k + 6 = -j. Calculate the remainder when 54 is divided by j.
16
Let q(a) = -2*a**3 - a**2 + 5*a + 7. Let z(k) = k**2 + 9*k + 14. Let u be z(-6). What is the remainder when q(u) is divided by 10?
9
What is the remainder when (2/16*20)/(50/3320) is divided by 14?
12
Let z(j) = -j**3 - 6*j**2 - 7*j + 9. Let x be z(-6). Let p = -13 + 14. Let v = p + x. Calculate the remainder when v is divided by 20.
12
Let j = -141 + 179. Calculate the remainder when j is divided by 10.
8
Suppose -4*h + 5*j = -277, -104 = -h + 4*j - 43. Calculate the remainder when h is divided by 16.
9
Let x = 1781 - 1684. Let o = -13 + 38. What is the remainder when x is divided by o?
22
Suppose -5*g = -5*c - 105, 5*g + 4*c - 44 = g. Let m = 466 - 258. Suppose -3*s = -m + 22. Calculate the re