 by 2/(-8) + z/(-12).
11
Suppose 0 = -z - 2 + 15. What is the remainder when 64 is divided by z?
12
Suppose -2*p - 2*q = -4*p - 8, p + 4*q = -14. Let c = 6 - p. Let k(u) = -u + 17. What is the remainder when k(-5) is divided by c?
10
Let s = 15 + -10. Suppose s*h = -22 + 87. Calculate the remainder when 24 is divided by h.
11
Let q(b) = -6*b + 5. Let z be q(-4). Suppose 2*o = 81 + z. Suppose 2*s - 7*s = -o. Calculate the remainder when 32 is divided by s.
10
Let j(u) = u**2 - u - 3. Suppose 3*g + 11 = -4*r, 0 = 5*g - 2*r - 10 - 15. Let h = 37 - 33. Calculate the remainder when h is divided by j(g).
1
Let z(h) = -h**2 + 3*h - 4. Let u be z(3). Calculate the remainder when (-2)/u + 19/2 is divided by 3.
1
Let t(v) be the second derivative of -3*v**5/20 - v**4/12 + v. Suppose 3*k + 17 = 3*n + 2*k, 2*n - 28 = 4*k. Calculate the remainder when n is divided by t(-1).
0
Let v be (-2 + 3)/((-1)/(-3)). Suppose -2*b + 54 = b. Suppose 4*x = 2*k + 20, b = v*x - x - 5*k. What is the remainder when x is divided by 2?
0
Let n = 64 + -55. What is the remainder when n is divided by -1 + (2 - -1) - -3?
4
Let q(j) = j**2 - 8*j - 22. What is the remainder when q(13) is divided by 15?
13
Let q = -3 + 12. Let l = 319 - 304. What is the remainder when l is divided by q?
6
Let k(n) = 2 + 10*n**2 + n**3 + n - 2*n + 6. What is the remainder when 274/8 - 2/8 is divided by k(-10)?
16
Let m(n) = n - 18. What is the remainder when 16 is divided by m(22)?
0
Suppose h - 39 = -4*j, 2*j + 2*h - 2 = -2*h. Calculate the remainder when 30 is divided by j.
8
Suppose 4*v - v = 0. Let w(p) = -p**3 - p**2 + 9. What is the remainder when 26 is divided by w(v)?
8
Suppose p = -2*p - 9, 4*p = -2*z - 6. Suppose 4*q - 9 = z*q. Calculate the remainder when 51/(-4)*32/(-12) is divided by q.
7
Calculate the remainder when (-1719)/(-27) + 3/9 is divided by 23.
18
Suppose -i - 36 = -4*i. Suppose 2*d - 7*d = 3*a + 29, 4*d + 34 = 3*a. Let w = d - -12. What is the remainder when i is divided by w?
2
What is the remainder when 580/18 + 24/(-108) is divided by 4?
0
Let i(z) = z**3 - 24*z**2 - 24*z + 13. Calculate the remainder when i(25) is divided by 4.
2
Let t = 88 - 44. Calculate the remainder when 173 is divided by t.
41
Suppose -2*s + 20 = -24. Let i = 6 + s. What is the remainder when i is divided by (-45)/3*1/(-1)?
13
Let w be (1/3)/((-1)/(-9)). Suppose 3*a - 24 = -3*t + 51, -w*a = -5*t - 75. Calculate the remainder when 73 is divided by a.
23
Suppose 54*n + 12 = 56*n. Calculate the remainder when 8 is divided by n.
2
Let l = 10 - 12. Calculate the remainder when 18 is divided by -4 + 3 + (l - -13).
8
Let g = 15 - 4. What is the remainder when (-12)/(-20) + 304/10 is divided by g?
9
Suppose -5 = 2*t - 15. Suppose -t*m + 0*b - 12 = b, 5*b + 2 = 4*m. Let u = m - -5. Calculate the remainder when 7 is divided by u.
1
Let v be -1 - 0*(-2)/(-6). Let d be 15/3 - (-2)/v. Suppose 4*m = -b + 146, -d*b = -0*b + 6. What is the remainder when m is divided by 13?
11
Let k(x) = -x**2 - x + 1. Let u(t) = 14*t**2 - 2*t + 1. Let v(a) = 2*k(a) + u(a). What is the remainder when v(2) is divided by 15?
13
Calculate the remainder when 23 is divided by 3 + (-3 - 2) - -14.
11
Let d(p) be the third derivative of -p**4/12 - p**3/3 + p**2. Calculate the remainder when 46 is divided by d(-9).
14
Let i be (-147)/(-12) + (-2)/8. Suppose 0 = -4*d + d + i. Suppose 4*o + 43 = 5*g, 0*g = -g + 5*o - d. Calculate the remainder when 32 is divided by g.
10
Suppose -2*h + 3*c - 3 = h, -3*h - 2*c + 22 = 0. Calculate the remainder when 4 is divided by h.
0
Suppose 0 = -3*l - 3, r = -5*l + 2*l. Calculate the remainder when (-6)/27 - (-166)/18 is divided by r.
0
Let v(z) = -3*z - 11. Calculate the remainder when 54 is divided by v(-10).
16
Suppose 2*q + 2*q = 16. Suppose -3*f + 9 = 5*s - 2, 53 = q*f - s. What is the remainder when 21 is divided by f?
9
Let k(z) = z**3 + 4*z**2 - 8*z - 12. Calculate the remainder when k(-5) is divided by 0 - (-4)/6*3.
1
Suppose -5*u + 152 = -u. Calculate the remainder when u is divided by 4.
2
Let g(f) = 0*f + 0 + 36*f + 1. Suppose -18 + 13 = -5*h. Calculate the remainder when g(h) is divided by 13.
11
Let c(y) = y**3 + 6*y**2 - 3. What is the remainder when c(-4) is divided by 8?
5
Let a be 0/3 - 23 - -3. Calculate the remainder when (a/(-16))/((-2)/(-40)) is divided by 9.
7
Let a(v) = 14*v**2 - 1. What is the remainder when 23 is divided by a(1)?
10
Let w be ((-8)/10)/(8/100). Let j(m) = m**2 + 9*m - 4. Calculate the remainder when 27 is divided by j(w).
3
Calculate the remainder when 89 is divided by (-1)/((-904)/180 - -5).
44
Let g = 3 - 4. Let s be (1*g)/((-5)/(-15)). Calculate the remainder when (1/s)/(6/(-54)) is divided by 2.
1
Let y = -53 + 71. What is the remainder when 52 is divided by y?
16
Let v = -19 + 28. Let d be (3 + (1 - 4))/2. Let r = d - -16. What is the remainder when r is divided by v?
7
Calculate the remainder when (40/(-12))/(2/(-90)) is divided by 31.
26
Let r = 82 - 24. What is the remainder when r is divided by 20?
18
Let d = 26 + -12. Calculate the remainder when 67 is divided by d.
11
Suppose -4*a = -4*u + 76, 60 = 2*u + u - 4*a. Suppose 6*t - 27 = 3*t - b, 9 = t + b. Calculate the remainder when u is divided by t.
7
Suppose 3*h - 12 = -3. Suppose q = h + 7. Calculate the remainder when 39 is divided by q.
9
Suppose 956 = 4*m - 4*j, -3*m + j + 1087 = 374. What is the remainder when m is divided by 40?
37
Let f = 19 - 11. What is the remainder when 21 is divided by f?
5
Let q be 57/5 + 4/(-10). Suppose 18 = z - q. What is the remainder when z is divided by 15?
14
Suppose -28*a = -24*a - 88. What is the remainder when 39 is divided by a?
17
Let b = -10 - -12. Suppose b*z = d - 2*z - 78, 4*z - 250 = -3*d. What is the remainder when d is divided by 21?
19
Let i(b) = 9*b + 5. Suppose -4*t = -14 - 14. Suppose -t*p + 2*p + 25 = 0. Calculate the remainder when i(p) is divided by 13.
11
Let k = -24 - -26. What is the remainder when 4 is divided by k?
0
Let d = -8 - -3. Let k = -7 - d. Calculate the remainder when 31 is divided by (-2 + 4/k)*-2.
7
Let f(y) = y**3 + 7*y**2 + 5*y + 6. Let x(z) = z**3 + 4*z**2 - 3*z + 5. Let n be x(-5). What is the remainder when f(n) is divided by 2/(4*1/22)?
9
Suppose -v - 10 = -4*v - 2*a, -3*v - 25 = -5*a. Suppose 4*x + x - 50 = v. Calculate the remainder when x is divided by 4.
2
Let v be (24/20)/(2/5). Suppose k - v*k + 144 = 0. Suppose -5*i + k = -68. What is the remainder when i is divided by 10?
8
Let s(o) be the second derivative of -o**2/2 + 2*o. Let l(k) = k**2 - 3*k - 3. Let b(x) = l(x) - 6*s(x). What is the remainder when 37 is divided by b(5)?
11
Let g = 4 - 2. Suppose 7*w - 10 = g*w. Calculate the remainder when 2/(-6) + 32/6 is divided by w.
1
Suppose -5*q + 66 = 3*o + 13, -3*o - 2*q = -68. Suppose -3*s + 34 = 7. Calculate the remainder when o is divided by s.
8
Let g(s) = s**2 + 7*s - 9. Let z be g(10). Let o = z + -105. What is the remainder when o is divided by 29?
27
Let x(c) = 2*c - 13. What is the remainder when 12 is divided by x(10)?
5
What is the remainder when 78 is divided by ((-10)/4)/(-1*5/50)?
3
Let l be (-8)/(-5)*130/4. Let p = -5 + l. What is the remainder when p is divided by 12?
11
Let v(h) = -h**3 - 5*h**2 - 7. Calculate the remainder when v(-6) is divided by 5.
4
Let i(x) = 5*x - 7. Calculate the remainder when 12 is divided by i(3).
4
Suppose 0 = b + 3 - 30. Let g = 9 - 3. Calculate the remainder when b is divided by g.
3
Let s = 12 - 24. What is the remainder when (-8)/(-6) - 2/6 is divided by (-4)/s*(1 + 2)?
0
Let z(g) = 3*g**2 - 2*g. Let t be ((-6)/(-8))/((-1)/4). What is the remainder when z(t) is divided by 9?
6
Suppose 0*d = 2*d + 4*y - 302, -4*y - 145 = -d. Calculate the remainder when d is divided by 30.
29
Let n = 27 - 5. What is the remainder when n is divided by 6?
4
Let a be 1/2 - 2/4. Suppose -2*k + a*k = -28. Calculate the remainder when 39 is divided by k.
11
Let t(n) = -n**2 + 5*n + 7. Let y be t(6). Suppose 2*p - 1 = y. Calculate the remainder when (2 - 5)/((-3)/2) is divided by p.
0
Let u = 11 + -5. What is the remainder when (-2)/((-1)/(10 - 2)) is divided by u?
4
Let o(d) = 6*d + 1 - 6*d + 2*d**2 + d**3. Calculate the remainder when o(2) is divided by 9.
8
Let c(o) = -o**2 + 5*o + 2. Let a be