). Let l(f) = -f**3 - 11*f**2 - 12*f + 12. Calculate the remainder when l(g) is divided by 17.
15
Let d(t) = -t**3 + 3*t**2 - 3*t - 4. Let h be d(3). Suppose -28*w + 29*w = 8. Let k = w - h. What is the remainder when k is divided by 11?
10
Suppose 4*k + 3*v - 5*v = 172, -k = 2*v - 33. Calculate the remainder when 121 is divided by k.
39
Suppose 3*d - 4*f - 39 = -f, -2*f = d - 7. What is the remainder when 21 is divided by d?
10
Suppose -3*j - 2*j + 190 = 0. Calculate the remainder when j is divided by (-3)/12 + (-729)/(-36).
18
Suppose s = -s + 6. Calculate the remainder when 5 is divided by s.
2
Suppose 8*n - 7*n = 17. Let d = 14 + -4. Calculate the remainder when n is divided by d.
7
Suppose 3*o - 221 = -4*n, -5*n - 142 = -3*o + 61. What is the remainder when o is divided by 36?
35
Suppose 16 - 1 = r + 2*y, -2*r + 10 = -y. Let w = -5 + r. Calculate the remainder when (-2)/(-8) + (-33)/(-12) is divided by w.
1
Suppose 4*k - k - 42 = 2*l, 2*k - 47 = -5*l. Calculate the remainder when 2/2 + -3 - -49 is divided by k.
15
Let y(u) = u**2 - 3*u + 2. Let r(j) = -5 - 7 - j**2 - 1 + 10*j + 1. Calculate the remainder when r(8) is divided by y(3).
0
Suppose 4 = 6*w - 5*w. What is the remainder when w is divided by 3?
1
Let q = 2 + 0. Calculate the remainder when q is divided by 1 - (-2 - -2) - 0.
0
Suppose -4*f - 4*g = -9*g - 65, g + 1 = 0. Suppose 0 = 4*b - 5*h - 88, -2*h - 100 = -b - 3*b. Calculate the remainder when b is divided by f.
12
Let m be (-2 + 15)*(0 - -1). Let n = m - -8. Let y = n - 10. Calculate the remainder when 32 is divided by y.
10
Suppose 0*r = 4*h - 5*r + 52, r = -4*h - 52. Let o = 22 + h. Calculate the remainder when 25 is divided by o.
7
Let i be (-2 + 9)*(-1 + 2). Suppose -2*u + 1 = 5*p, -i*p = -2*p + 4*u + 3. What is the remainder when p + -1 - (-5 + -22) is divided by 14?
13
Let l(k) = 3*k - 7. Let v be l(-6). Let u = 13 - v. What is the remainder when u is divided by 20?
18
Let r = 167 + -73. What is the remainder when r is divided by 32?
30
Let u be 2 - (3 + -1 + 38). Let i = u + 57. Suppose -3*m + 23 = 2. Calculate the remainder when i is divided by m.
5
Let q = -8 + 6. Suppose -3*s + 130 = 2*g - 3*g, 2*s - 86 = g. Calculate the remainder when s is divided by q/(-3) - 67/(-3).
21
Suppose -5*d + 5 = -0. Let a(y) = d + y**2 - 3 + y + 1 - 4. What is the remainder when 43 is divided by a(4)?
13
Let p be (-48)/(6/(-4) + 0). Let k = -22 + p. Calculate the remainder when 28 is divided by k.
8
Suppose y + 0*x - 11 = -2*x, 2*x = 10. Suppose y = u - 5. What is the remainder when (8/(-6))/((-6)/45) is divided by u?
4
Let f be 146*(-2)/4 + 3. Let b = f - -144. Calculate the remainder when b is divided by 97/5 + 8/(-20).
17
Suppose -26 = -2*d - 0*d. Suppose y + 22 - 121 = 0. Suppose -3*a = -y - 15. Calculate the remainder when a is divided by d.
12
Let g(j) = j**3 - 2*j**2 + 2*j + 2. What is the remainder when g(2) is divided by 4?
2
Let g(r) = r**3 + 10*r**2 + 2*r. Calculate the remainder when g(-9) is divided by 17.
12
Suppose 3*x = 0, -4*i - 5*x = -x - 8. Suppose 3*k = -4*p - 0*k + 148, 0 = i*k. Suppose -p = -3*b + 11. Calculate the remainder when 30 is divided by b.
14
Let a(w) = -w + 67. Let q be (-198)/8 + 3/(-12). Let s = q + 42. What is the remainder when a(0) is divided by s?
16
Let d(y) = -7*y + 1. Suppose 7*l - 2*l + 5*r - 45 = 0, 0 = -2*l - 3*r + 23. Suppose 2*z + l - 20 = 0. Calculate the remainder when d(-3) is divided by z.
6
Let h = -18 + 32. Suppose -1 = -0*t + t. Calculate the remainder when 3 + t + 2*19 is divided by h.
12
Suppose 0 = -5*p - 283 + 38. Calculate the remainder when 55 is divided by 6/(-21)*(p - 0).
13
Let p(s) = s**2 + 1. Let f(k) = -k**3 + 2*k**2 - k. Let i be f(1). Let u be p(i). Let n = u + 15. What is the remainder when n is divided by 9?
7
Calculate the remainder when 256 is divided by 74/6*(-9 + 12).
34
Let d = 101 - 53. What is the remainder when d is divided by 10?
8
Suppose 5*d - 5*u = d + 26, -14 = -d + 5*u. What is the remainder when 5 is divided by d?
1
Let f = -17 - -18. Calculate the remainder when (0 - -2) + 48/f is divided by 26.
24
Suppose 2*k - 2*g - 6 = -5*g, -g = 3*k - 23. What is the remainder when 25 is divided by k?
7
Let l(j) = 5*j**2 - 9*j - 9. Let g(w) = 2*w**2 - 4*w - 4. Let x(n) = -14*g(n) + 6*l(n). Calculate the remainder when x(4) is divided by 11.
9
What is the remainder when 21 is divided by (-40)/(-4) - 2/(-1)?
9
Suppose -5*j + v + 58 = 0, -j + 3*v + 10 = -10. Let f = j + -1. Calculate the remainder when f is divided by 4.
2
Suppose -5*n + 381 = 16. What is the remainder when n is divided by 25?
23
Let o(v) = v**3 - 22*v**2 + 2*v - 19. What is the remainder when (-2)/(-1*(-2)/(-49)) is divided by o(22)?
24
Let b(o) = -o**3 + 14*o**2 - 13*o + 11. What is the remainder when 53 is divided by b(13)?
9
Suppose 2 = 2*i - 6. Suppose 0 = -2*w - 2*n, 23 - 8 = i*w + n. Let q(k) = 3*k - 7. Calculate the remainder when 22 is divided by q(w).
6
Let b(o) = -49*o + 8. What is the remainder when b(-2) is divided by 33?
7
Let w(i) = -2*i**2 + 11*i - 6. Calculate the remainder when -2*(-2)/(-4) - -15 is divided by w(2).
6
Suppose 6*p = 2*p + 100. Let w = 0 + -2. What is the remainder when p is divided by w*10/(-2) + -1?
7
Suppose 0*w - 72 = -4*w. Let a = w + -10. Calculate the remainder when 22 is divided by a.
6
Let z(r) = -r + 2. Let k be z(2). Suppose -f + 4 + 12 = k. Calculate the remainder when f is divided by 6.
4
Let q(o) = o**3 + 4*o**2 - 2*o - 5. Let u be q(-4). Suppose -u*g = 2*g + 5*s - 5, 4*g = -s + 19. What is the remainder when 15 is divided by g?
3
Let k(i) = i + 5. Let f be k(-5). Suppose 3*o - 62 - 79 = f. Calculate the remainder when o is divided by 12.
11
Let u(o) = o**3 + 2*o**2 + 4*o - 1. Let q be u(4). Let y = q - 70. Calculate the remainder when y is divided by 21.
20
Let m be 8/36 - (-742)/(-18). Let w = 62 + m. Calculate the remainder when w is divided by 12.
9
Let w = 10 + -8. Suppose 20 = -4*o + 8*o, -w*h - o = -49. What is the remainder when 42 is divided by h?
20
Let m = 2 + 29. Suppose 2*j - 6*j = -12. Suppose 0 = 4*q + t - 41, j*q = 5*t - 27 + 75. Calculate the remainder when m is divided by q.
9
Let d = 26 - 24. Suppose d*n + 40 = 6*n. What is the remainder when n is divided by 3?
1
Suppose -6*n = -4*n. Suppose 2*r - 2 = -n. What is the remainder when 1 is divided by r?
0
Let n = 15 + 9. Suppose 0 = 2*b + 17 - 57. Let g = b - 7. Calculate the remainder when n is divided by g.
11
Suppose 5*q + 49 = 4*m, -3*m + 4*q + 56 = 18. Calculate the remainder when m is divided by 0 + (-4)/(-1) - -1.
1
Suppose t + 26 = -h + 6*h, h + 5*t = 0. Suppose -31 = -3*a + 8. Calculate the remainder when a is divided by h.
3
Suppose -2*v = -5*v - 12. Calculate the remainder when v/10 + 97/5 is divided by (-2)/10 - (-255)/25.
9
Suppose -21 - 399 = -6*c. What is the remainder when (-12)/(-48) - c/(-8) is divided by 4?
1
Let p(d) = 9*d + 1 - 1 - 3*d. Calculate the remainder when 16 is divided by p(1).
4
Let i(t) = -53*t**3 - 2*t**2 - 2*t - 1. Let l(m) = 2*m + 11. Let j be l(-6). Let y(d) = -17*d + 1. What is the remainder when i(-1) is divided by y(j)?
16
Let k(h) = -h - 4. Let y be k(-7). Suppose 9*i = -y*v + 4*i + 158, 5*v - 246 = -4*i. Calculate the remainder when v is divided by 12.
10
Suppose i + 2*i = 45. Let x(y) = -29*y**3. Let r be 4/(-6)*6/4. What is the remainder when x(r) is divided by i?
14
Let h(m) be the third derivative of -m**4/12 - 4*m**3/3 - 2*m**2. Let j be h(-6). Suppose j*o = -0*o + 44. Calculate the remainder when 20 is divided by o.
9
Let q = 21 + -17. Suppose q*f - 5*f = -20. What is the remainder when 78 is divided by f?
18
Let u(t) = 5 - 7*t + 6*t - 2. Suppose g = -4*r + 25, -g + 6*r = 3*r - 32. Calculate the remainder when g is divided by u(-7).
9
Let s(k) = 3*k + 13. What is the remainder when s(-3) is divided by 2?
0
Let w(j) = 6*j**2 - 11*j + 28. What is the remainder when w(4) is divided by 22?
14
Let s = 115 + -99. Suppose -t - 4*t = -45. What is the remainder when s is divided by t?
7
Let t(k) = k**3 - k**2 - k + 3. Let g be t(0). Suppose y - 16 = -g*y. Suppose -2*i + 2 = -y. What is the remainder when 4 is divided by i?
1
Let q(p) be the first derivative of p**3/3 + 6*p**2 - 3*p - 7. Calculate the remainder when q(-13) is divided by 7.
3
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