= z**2 - 20*z - 52. Calculate the remainder when 39 is divided by s(23).
5
Suppose -3*s = 2*s - 195. Calculate the remainder when s is divided by (12/15)/((-2)/(-50)).
19
Suppose q - 25 = -0*q. What is the remainder when q is divided by 14?
11
Suppose 2*l - 12 = 4*d, 0 = 5*l - 4*l - 5*d - 12. What is the remainder when 23 is divided by (-1 + -12)/(l/(-2))?
10
Suppose k - 105 = -6*k. Let c(i) = 2*i**2 + 7*i + 8. Suppose 0*b - 2*b + 5 = -u, 5*u + 4*b = -39. Calculate the remainder when c(u) is divided by k.
12
Let n = -53 - -27. What is the remainder when 24 is divided by n*(10/4 - 3)?
11
Suppose p + 3 = -7. Let d = 8 - p. What is the remainder when d is divided by 5?
3
What is the remainder when 16 is divided by 19/3 + 14/(-42)?
4
Let a(k) be the second derivative of k**5/20 - k**4/3 - k**3/2 + 5*k**2/2 + 2*k. Let t = -44 - -73. What is the remainder when t is divided by a(5)?
14
Let c(q) = q**3 - 15*q**2 + 16*q - 18. Calculate the remainder when 17 is divided by c(14).
7
Suppose -2*r + 8 = 2. Suppose r = -0*q + q. What is the remainder when q is divided by 2?
1
Let y = -10 - -24. Let h = -6 + y. Calculate the remainder when h is divided by 3.
2
Let q(k) = k**2 - k - 6. Let l(n) = n**2 - n + 16. Calculate the remainder when l(0) is divided by q(4).
4
Let g = -10 + 36. Calculate the remainder when g is divided by 9.
8
Let y(s) = -s**3 + 7*s**2 + 9*s + 8. Let d be y(8). Let h = d - 6. Calculate the remainder when 19 is divided by h.
9
Suppose -t + 3*t - 10 = 0. Let y(p) = -p + 4. Let g be y(0). Suppose 2*h - 22 = -3*u, 0 = -g*h - 0*u + 2*u + 60. What is the remainder when h is divided by t?
4
Let w be (0 + 0)/(1/1). Suppose w = -5*d - 2*k + 82, 0 = d - 2*k + 3*k - 17. Let p = d + -11. What is the remainder when 12 is divided by p?
2
Suppose 4*t - 34 = 5*a, 0 = t - 0*a + a - 4. Suppose 9 = -x - 0*x. Calculate the remainder when (t/(-4))/(x/312) is divided by 18.
16
What is the remainder when 65 is divided by (-8 - -4)*(-231)/28?
32
Suppose 0 = 3*r - 18 - 15. Calculate the remainder when 8 is divided by (-4)/(-8)*(r + -1).
3
Suppose 56 - 21 = 5*c. What is the remainder when 34 is divided by c?
6
Let j(n) = -10*n - 51. Calculate the remainder when j(-22) is divided by 19.
17
Suppose 6*w - 32 = 2*w. Suppose -o = -5*m + 10, -3*o + 2 + w = -5*m. Calculate the remainder when o is divided by 4.
2
Calculate the remainder when 18/(-90) + 3/5*157 is divided by 16.
14
Suppose 4*g = -3*t - t + 380, 3*g + 4*t = 290. Let q = -56 + g. Calculate the remainder when q is divided by 9.
7
Let k(a) = -2*a**3 + a**2 + 3*a + 2. What is the remainder when 7 is divided by k(-1)?
1
Let w(l) = 2*l + 43. Calculate the remainder when 48 is divided by w(-13).
14
Suppose 3*v - 5*g + 5 = 2*v, -4*g + 31 = v. Calculate the remainder when 51 is divided by v.
6
Let u(t) = 3*t - t**2 + t**3 - 2*t + 11*t**3. Let b = -27 - -50. What is the remainder when b is divided by u(1)?
11
Suppose 0 = 123*h - 130*h + 231. Calculate the remainder when 97 is divided by h.
31
Let d be (-12)/(-2) + (-5 - -4). Suppose -4*g = -d*j - 72, 2*g + 4*j + j - 6 = 0. Calculate the remainder when 25 is divided by g.
12
Suppose 2*g - 16 = 2*x, -x = -3*g + 4*g - 8. Calculate the remainder when 23 is divided by g.
7
Suppose 0 = 5*i - 4*s - 115 + 38, 4*s + 12 = 0. Calculate the remainder when 46 is divided by i.
7
Suppose -3*g + 7*g - 348 = 0. Calculate the remainder when g is divided by 15.
12
Let l(p) = 7*p + 1. Calculate the remainder when l(1) is divided by 3.
2
Suppose 28 = 4*q - 4*t, 4*t - 19 = 3*q + 9*t. Suppose -111 = -q*y - y. What is the remainder when y is divided by 13?
11
Let j = 0 - -2. Let o = 20 + j. Calculate the remainder when o is divided by (45/12)/(-5)*-16.
10
Suppose 2*c = d - 4*d - 40, 0 = 2*d + 5*c + 45. Let s = d + 12. Suppose -t - s*k = 0, 5*t - 28 = t - k. Calculate the remainder when 15 is divided by t.
7
Suppose -4*u = g + 28, 4*u + 88 = 3*g - 7*g. What is the remainder when -2 - (g + 3) - 2 is divided by 5?
3
Suppose -880 = 10*m - 26*m. What is the remainder when 159 is divided by m?
49
What is the remainder when (234/(-10) - 1)/(96/(-240)) is divided by 23?
15
What is the remainder when 26 is divided by 0/1 - -3 - -3?
2
Let a(f) = -21*f**3 - 4*f**2 - 3*f - 2. Let g(n) = -42*n**3 - 9*n**2 - 7*n - 5. Let v(b) = -7*a(b) + 3*g(b). Calculate the remainder when v(1) is divided by 6.
3
Let l = 48 + -29. What is the remainder when 56 is divided by l?
18
Let b be 21/6*8/14. Suppose -w - 2*j - 1 = 0, -3*w = -b*j - 21 - 0. Suppose -w*q + 3*q + 4 = 0. Calculate the remainder when q is divided by 2.
0
Let o(c) = 2 - 4*c + 3*c - 3. Let b be o(-3). Let p = 14 - b. What is the remainder when 22 is divided by p?
10
What is the remainder when 1/(2*1/(-84)*-3) is divided by 4?
2
Let b be -3 + -2 + (-7)/(-1). Suppose 0*f - b*f = 5*u - 48, 3*f = -u + 46. What is the remainder when f is divided by 5?
4
Suppose -4*w + t + 11 = 0, -w - 2*t = -2 - 3. Suppose 0*q = -13*q + 78. What is the remainder when q is divided by w?
0
Let l = 17 + -26. Let d(x) = -x**3 - 8*x**2 + 2*x - 5. Let g be d(l). Calculate the remainder when 29 is divided by g/6 + 2/6.
9
Suppose -5*z = -16 + 1. Suppose 26 = -k + z*k. Let g(h) = 4*h + 23. What is the remainder when g(0) is divided by k?
10
Calculate the remainder when 36 is divided by (-49 + 14)*(-4)/10.
8
Let t(y) = -y**3 + 7*y**2 - 5*y - 4. Let q be t(6). Suppose f + 5*s - q = 0, 4*f = -s + 24 + 3. Calculate the remainder when f is divided by 4.
3
Suppose -3*h + 5 = -4. Calculate the remainder when (-1 - -4) + 2 + -1 is divided by h.
1
Let f = 42 + -29. Let c = 30 - f. Calculate the remainder when c is divided by 6.
5
Let s = 7 - -23. Calculate the remainder when 117 is divided by s.
27
Suppose 4*z = -2*p - 6 + 86, 3*p = -5*z + 115. Let d be 246/(-10) + (-12)/p. What is the remainder when (30/d)/((-3)/80) is divided by 11?
10
Suppose 0 = -2*p - 5*k + 189, 3*k = -4*p + 200 + 199. Let v = p + -70. What is the remainder when v is divided by 11?
10
What is the remainder when ((-120)/(-48))/(-2*2/(-8)) is divided by 4?
1
Suppose -k - 3 = -3*s + 3, 4*k = -12. Let u(w) = 6*w**3 - w**2 - w + 1. Let c be u(s). Suppose c = -3*v + 8*v. Calculate the remainder when 1 is divided by v.
0
Let k = -2 + 8. Suppose 86 - 2 = k*i. What is the remainder when 39 is divided by i?
11
Suppose 2*m = -0*m + 88. What is the remainder when m is divided by (-51)/(-3) - (-6)/(-3)?
14
Suppose v = -4*u + 7, 0*v + 8 = 2*u - 4*v. Suppose -5*n + 26 = -n + u*y, n + y - 8 = 0. Suppose -n*j = -14 - 6. Calculate the remainder when j is divided by 2.
0
Suppose 2*h - 2*v - 50 = -3*h, 0 = -2*h + 5*v + 20. What is the remainder when 19 is divided by h?
9
Let l(j) = -j**3 - 6*j**2 - 4*j - 1. Calculate the remainder when 45 is divided by l(-6).
22
Let h(x) be the third derivative of 11*x**4/24 - x**3/6 + x**2. Let f = -10 + 16. Calculate the remainder when h(1) is divided by f.
4
Let g(t) be the third derivative of t**5/60 - t**4/2 + 11*t**3/6 + t**2. Let v be g(11). Suppose 29 = -v*m + m. Calculate the remainder when m is divided by 10.
9
Suppose -j = 5*n + 9, 3*j = -0*j + 5*n + 13. Calculate the remainder when 43 is divided by -2 - (-1 - 11 - j).
10
Let y(u) = 5*u**2 - 7*u + 4. What is the remainder when y(2) is divided by 7?
3
Let q = 12 - 10. Suppose -2 = 4*w - w - 4*y, -4*y + 32 = 2*w. Suppose w + 3 = 3*z. What is the remainder when z is divided by q?
1
Let d = 19 - 19. Suppose d = -2*m - m + 189. What is the remainder when m is divided by 13?
11
Suppose -3*w = 2*w - 165. Calculate the remainder when 65 is divided by w.
32
Let g(a) = -a**3 - 10*a**2 - a - 1. Suppose 3*t - 53 = c, 2*t - 2*c = -4*c + 22. What is the remainder when t is divided by g(-10)?
7
Let v(a) = a**3 + 11*a**2 - 19*a - 6. Calculate the remainder when v(-10) is divided by 13.
11
Let s = 39 - 29. Let t = -8 + 36. What is the remainder when t is divided by s?
8
Let r(h) = 2 - 6*h + 3 - 4. Let y be (6 + -8)*(0 + 1). What is the remainder when 37 is divided by r(y)?
11
Let b(g) = -g**2 + 15*g - 20. Calculate the remainder when 65 is divided by b(9).
31
Let p(a) = 9*a**3 - 1. Calculate the remainder when p(2) is divided by (-2)/7 - (-1870)/77.
23
Suppose -2*w + 239 = h - w, 2*h - w - 475 = 0. Calculate the remainder when h is divided by 40.
38
Let y(q