3 - 17*w**2 + 11*w + 16. Let h(a) = -a**3 - a**2 + a + 1. Let s(n) = 4*h(n) - p(n). What is the remainder when s(12) is divided by 13?
9
Let z(a) = 24*a**3 - a. Suppose 5*i - 21 = 4. Suppose 0 = -2*b - 3*b + i. What is the remainder when z(b) is divided by 12?
11
Let r = -44 + 57. What is the remainder when 25 is divided by r?
12
Suppose -3*b - 78 = -6*b. Let w = 12 + -5. Calculate the remainder when b is divided by w.
5
Let q = -15 + 8. Calculate the remainder when (-4)/(-14) - 159/q is divided by 12.
11
Let p(r) = r**3 + 7*r**2 - 3*r - 10. Let y be 45/(-6) - 1/(-2). Let z = -28 - -49. What is the remainder when z is divided by p(y)?
10
Calculate the remainder when 388/4 + -4 + 9 is divided by 35.
32
Suppose -6*i = -9*i + 33. What is the remainder when 31 is divided by i?
9
Let c(n) = n**2 - 8*n + 2. Let y be c(8). Suppose b = 2*b - y. Suppose 1 = -5*i + z + 8, -b*z - 4 = -5*i. Calculate the remainder when i is divided by 2.
0
Let d = 5 + -2. Suppose 2 = d*i - 10. Let t(o) = o**3 + 4*o**2 - o - 1. What is the remainder when t(-3) is divided by i?
3
Let v = -65 + 88. What is the remainder when 159 is divided by v?
21
Let r = 342 - 319. Suppose 60 = 2*w + 3*w. Calculate the remainder when r is divided by w.
11
Suppose 5*c = 5*j - 35 + 5, -c = -2*j + 14. Suppose l = 7 + 7. Calculate the remainder when l is divided by j.
6
Suppose -84 = -4*q + 4*w, -q = 3*w - 2*w - 29. Suppose -3*l + 3*z = -16 - 11, 0 = 5*l + 5*z - q. What is the remainder when 20 is divided by l?
6
Let x = 12 - 10. Suppose -20 = -4*p - x*r, -r = -5*p - 3*r + 26. Calculate the remainder when 16 is divided by p.
4
Let y be (11/44)/((-1)/(-172)). Let b = -31 + y. Suppose 115 = 3*k + 49. Calculate the remainder when k is divided by b.
10
Let p = -95 - -220. Calculate the remainder when p is divided by 32.
29
Let o(q) = -17*q**3 - q. Let d(z) = -4*z - 18. Suppose -5*k = -i - 33, -3*k - 49 = 5*i + k. Calculate the remainder when d(i) is divided by o(-1).
16
What is the remainder when 0 + 1 + 3 - -47 is divided by 19?
13
Let q(o) = 4*o**2 - 9*o + 4. Let f be q(6). Let j = -13 - -20. Calculate the remainder when f/5 - (-1)/5 is divided by j.
5
Suppose 50 = 3*b - r, 4*r + 27 = 3*b - 29. Suppose -3*s + 2 = -u - 12, -4*s - 3*u + 10 = 0. What is the remainder when (-1 - 0)/(s/(-184)) is divided by b?
14
Let b = 37 - 57. What is the remainder when 19 is divided by (-9)/6*b/6?
4
Let l(m) = m**3 - 7*m**2 + 3*m - 7. Calculate the remainder when 125 is divided by l(7).
13
Let b(j) = -j**2 + 7*j + 5. Let x be b(7). Let w = x - -28. What is the remainder when 63 is divided by w?
30
Let u = 74 - 45. Suppose 48 = 4*w - 4*v + v, 2*v - 83 = -5*w. What is the remainder when u is divided by w?
14
Suppose -p = o - 3*o + 9, -3*p - 2*o - 51 = 0. What is the remainder when (-354)/p + 9/(-15) is divided by 8?
7
Suppose z - 2*h - 42 = 2*h, z + 4*h - 10 = 0. What is the remainder when z is divided by 9?
8
Suppose -2*j = -j + 12. Let i be (j/5)/(3/(-10)). Suppose -4*o - 3*h + 34 = 0, 5*h + i = 5*o - 17. Calculate the remainder when o is divided by 4.
3
Suppose 0 = 5*x - 9 - 6. Suppose -u + 44 = x*u. Calculate the remainder when 31 is divided by u.
9
Let c(d) = d**3 - 2*d**2 - 3*d + 5. Calculate the remainder when 38/3 + 2/6 is divided by c(3).
3
Let h be 7*5/((-5)/3). Let n = -18 - h. Calculate the remainder when 6 is divided by n.
0
What is the remainder when (-2 - -90)/(-1*(-2 - 0)) is divided by 9?
8
Let m(z) be the second derivative of 0 + 1/4*z**4 + 1/2*z**2 + z**3 - 2*z. Calculate the remainder when m(-4) is divided by 13.
12
Suppose 0 = -s - 3*n - 2, 24 = -0*s + 3*s - n. Let v(q) = q**2 - 7*q + 8. Calculate the remainder when 22 is divided by v(s).
6
Suppose -198 = -3*j - 3*v - 0*v, 0 = -5*j + v + 342. What is the remainder when j is divided by 23?
22
Let x be (0/1 - -1)*2. Suppose z - 33 = -t, t - 3*z - 24 = -z. Suppose x*y = -y + t. Calculate the remainder when 28 is divided by y.
8
Let b(v) = -3*v - 10. What is the remainder when b(-4) is divided by 1?
0
Suppose 0 = 3*p + k - 62, -2*p + k - 22 = -3*p. Calculate the remainder when 39 is divided by p.
19
Let l(p) = -3*p + 3. Let a be l(4). Let n = a + 22. Suppose m = 13 + 12. What is the remainder when m is divided by n?
12
Let l be 1/((-58)/(-14) - 4). Suppose 4*v = l*v - 177. Calculate the remainder when v is divided by 15.
14
Suppose 0 = -4*k - 20, -3 - 5 = -u - 5*k. Suppose -3*z + u - 6 = 0. What is the remainder when 24 is divided by z?
6
Let d = -99 - -132. What is the remainder when d is divided by 13?
7
Suppose 0 = -j - f - 1 - 5, 15 = -3*f. Suppose 3*t - 33 = -t - 3*b, -3*t = 4*b - 16. What is the remainder when t is divided by 1*(7 + 1 + j)?
5
Let p(l) = -l + 2. Let z be p(-2). Suppose 0 = -2*n + 3*n - z. Suppose 0 = -n*b - 2 + 50. What is the remainder when b is divided by 5?
2
Suppose 5*i = 614 + 36. What is the remainder when i is divided by 33?
31
What is the remainder when 13 is divided by (-10)/(-2) + 5 + -5?
3
Let a = 1 - -1. What is the remainder when (0 - -19)/(a/2) is divided by 2 + (6 - 4)/((-6)/(-9))?
4
Let k be (-1)/(-4) + 410/(-8). Let n(w) = 10*w**2 + 4*w + 4. Let h be n(-3). Let l = h + k. What is the remainder when l is divided by 16?
15
Calculate the remainder when 245 is divided by (-1560)/(-25) + 1/((-10)/4).
59
Let f = 14 + 5. What is the remainder when f is divided by 7?
5
Suppose c - t = 3*t + 10, 4*c - 2*t = -30. Calculate the remainder when 13 is divided by c*(-2)/(-4)*-1.
3
Let n(b) = -77*b**2 + 8*b - 1. Let y(r) = -19*r**2 + 2*r. Let s(h) = 2*n(h) - 9*y(h). Calculate the remainder when s(-1) is divided by 9.
8
Let q be (-1320)/(-75) + (-4)/(-10). Calculate the remainder when (-1)/3 - (-546)/q is divided by 16.
14
Let q = 28 + -33. Suppose 0 = 5*i - 59 - 111. Calculate the remainder when i is divided by (6/8)/(q/(-120)).
16
Let d be 4/(-10) - (-1016)/40. Suppose -20 = 4*g, 41 = -3*f - 0*g + 2*g. Let w = f + d. What is the remainder when 23 is divided by w?
7
Let b = 3 - -10. Calculate the remainder when 77 is divided by b.
12
Let m = 46 + -34. What is the remainder when -1*1/((-2)/70) is divided by m?
11
Let h = 9 - -3. Calculate the remainder when 21 is divided by h.
9
Let h = 11 - 17. Let l = h - -21. What is the remainder when 58 is divided by l?
13
Suppose 2*v = -8 + 42. Suppose 4*z + 2*b + 16 = -2*b, -5*z + 4 = -b. Suppose z*t + 96 = 2*t. What is the remainder when t is divided by v?
14
Let y = 136 - 91. Calculate the remainder when y is divided by 16.
13
Let l(f) = 12*f**2 + f. Calculate the remainder when 25 is divided by l(1).
12
Suppose -10*f + 4*f = -684. Calculate the remainder when f is divided by 9.
6
Let g(p) be the first derivative of -1 + 4/3*p**3 - 3*p**2 - 4*p + 1/4*p**4. Calculate the remainder when 1 is divided by g(-5).
0
Suppose 2*l - 2*f - 7 = -19, 10 = l + 3*f. Suppose 3*c = 6*c - 30. What is the remainder when 552/32 - l/(-8) is divided by c?
7
Suppose 0 = d + 11 - 65. Suppose g = 4*g - d. Suppose 47 = 3*s - 112. Calculate the remainder when s is divided by g.
17
Let v(z) = 19 + z**2 + z + 6*z + 3*z + 2*z. Suppose -18 = -k - 7. What is the remainder when v(-13) is divided by k?
10
Calculate the remainder when 2/(-2)*37/(0 + -1) is divided by 7.
2
Suppose 2*t + 2*t = 60. Suppose -p - 2 = -t. Calculate the remainder when p is divided by 5.
3
Suppose 0 = 5*g + 3*p - 231, -g + 3*g = p + 99. What is the remainder when 190 is divided by g?
46
Let d = -113 - -115. What is the remainder when d is divided by 1?
0
Let h = 67 - 46. Suppose -2*o = -6*o + 40. Suppose 4*w = 2*f - 24 + o, -f - 2*w = -15. Calculate the remainder when h is divided by f.
10
Let k be (7 + -8)/((-1)/2). Calculate the remainder when ((-2)/(-6))/(k/12) is divided by 2.
0
Let u = 28 - 5. Let k = u - 4. Let x(m) = -m**3 - 4*m**2 - 4*m - 9. What is the remainder when k is divided by x(-4)?
5
Calculate the remainder when 75 is divided by (6/(-9))/((-5)/195).
23
Suppose u + 3*u = -2*j + 38, 17 = u + 2*j. Calculate the remainder when 18 is divided by u.
4
Let n = -8 + 30. Calculate the remainder when 87 is divided by n.
21
Suppose 2*m - 31 - 11 = 0. What is the remainder when m is divided by 6?
3
Suppose 2*w = 1 + 13. Let t(x) = -x**2 + 8*x + 5. Calculate the remainder when 46 is divided by t(w).
10
Suppose -3*b + 12 = -30. Calculat