
9
Suppose -48 = -f - 11. Let v(s) = s + 13. Let x = -2 - -2. What is the remainder when f is divided by v(x)?
11
Suppose y - 2*p - 6 = 0, -4*p + 5*p = -3*y + 25. Let t(g) = -g**3 - 24*g**2 - 46*g - 22. What is the remainder when t(-22) is divided by y?
6
Let f be ((-4)/6)/(2/(-6)). Let q(j) = 8*j + 2. Let m(d) = 8*d + 3. Let z(k) = -3*m(k) + 4*q(k). Calculate the remainder when 28 is divided by z(f).
13
Let q(j) = -2*j - 1. Let t be q(-3). Suppose -40 = -t*u + 20. Calculate the remainder when 0 + 26 + -4 + 1 is divided by u.
11
Let w = 148 - 118. Calculate the remainder when w is divided by 20.
10
Let i be ((4 - -1) + 2)/(-1). Let a = 9 - i. Let n(t) = t**3 + 4*t**2 - t - 3. Calculate the remainder when a is divided by n(-3).
7
Let k(r) = r**2 - 12*r + 8. What is the remainder when 81 is divided by k(13)?
18
Let t(g) = -3*g**2 - g + 2. Let n be t(-2). Let m = 14 + n. What is the remainder when 22 is divided by m?
4
Let b(m) = 10*m**2 - 18*m - 16. Suppose -4 = 2*w - 0. Let c(n) = 3*n**2 - 6*n - 5. Let x(v) = w*b(v) + 7*c(v). What is the remainder when x(9) is divided by 13?
11
Let u(l) = -3*l + 5. What is the remainder when u(0) is divided by 3?
2
Suppose 3*u - 5 - 3 = -2*m, 5*m = -3*u + 11. Let c(v) = 6*v + 1. What is the remainder when c(m) is divided by 3?
1
Let c(r) = -r**2 + r + 1. Let k be c(0). Let n(b) = b - 3*b - 3 + k. What is the remainder when 14 is divided by n(-5)?
6
Suppose 4*d = 15 - 87. Calculate the remainder when (2/(-4))/((-1)/94) is divided by (-4)/(-18) + (-284)/d.
15
Suppose -3*n = -4*n + 2. Suppose 4*z - n = 86. Calculate the remainder when 42 is divided by z.
20
Suppose -s = 1 - 7. Suppose 0 = -3*x + s + 6. Suppose -x*m - 3 = -11. What is the remainder when 7 is divided by m?
1
Suppose 30*y - 56 = 28*y. Calculate the remainder when y is divided by 10.
8
Let z be (12/(-8))/((-3)/8). Suppose 3*u = z*u - 13. What is the remainder when u is divided by 7?
6
Let b(f) = -f**2 + 9*f - 4. Let q be b(4). Suppose 5*w = -5*i + 50, 0*w + i - q = -2*w. Calculate the remainder when 16 is divided by w.
4
Let b = 26 + -15. Calculate the remainder when 32 is divided by b.
10
Let b = -11 - -3. Suppose 0 = y + 4 - 21. What is the remainder when y is divided by 3/(-2) + (-60)/b?
5
What is the remainder when (-1 - 36/10)*-5 is divided by 13?
10
Suppose 3*l - 41 = -w, 0 = 5*l - 0*w + 3*w - 67. Let k(o) = -o - 8. Let v be k(-10). Calculate the remainder when l is divided by (v - (3 + -6))/1.
4
Let u = 7 - 4. Suppose -26 = -5*v + g - 5*g, 2*v - 4*g = 16. Calculate the remainder when 1/(12/44)*u is divided by v.
5
Let m(i) = 2*i**2 - 7*i. Calculate the remainder when 42 is divided by m(5).
12
Let g = 13 + 27. Calculate the remainder when g is divided by 21.
19
Suppose -2*r - 3*p + 32 = p, p = -4*r + 43. What is the remainder when r is divided by 4?
2
Let u(r) = -8*r + 3. Suppose 5*c - 7 = 8. Let m be u(c). Calculate the remainder when 6/21 + (-351)/m is divided by 6.
5
Suppose 2*u = -0 - 2. Let m(d) = -5*d. Let n be m(u). Suppose 7*y - n*z - 165 = 3*y, -2*y - 4*z + 50 = 0. What is the remainder when y is divided by 12?
11
Suppose -2*q + 0 = -26. Calculate the remainder when 38 is divided by q.
12
Suppose -31*b = -30*b - 11. What is the remainder when b is divided by 4?
3
Suppose 0*i = i + 2*w + 10, -2*i - 19 = 3*w. Let q = 13 + -4. What is the remainder when 8/(-6)*(i + -4) is divided by q?
7
Suppose 0 = 2*y - 0*y - 10. Suppose -y*b - q + 42 = 0, -5*q - 31 = -4*b + 20. Suppose 0 = -t + 2 + b. Calculate the remainder when 31 is divided by t.
9
Let u = -16 - -18. Calculate the remainder when u is divided by 1/(-2)*(1 - 3).
0
Suppose 12 = 5*k - 2*r, 4*k - 4*r = -k + 4. Let p = -6 + 4. Let v = p + 5. What is the remainder when k is divided by v?
1
Suppose -3*x - v - 29 = 0, -8 = v - 3. Let w = x + 4. What is the remainder when 22 is divided by (w/(-6))/(1/12)?
6
Suppose 2*t - 7 = -1. Suppose 109 = 3*r + t*y - 8*y, r + y = 39. What is the remainder when r is divided by 21?
17
Let l be (0 - (6 + 0))*2. Suppose 2*d - 19 = 3*p + 22, 2*d - p = 39. Let v = d + l. What is the remainder when v is divided by 4?
3
Let p(d) = -d - 7. Let v be p(-4). Let k = v + 5. Suppose 5*s - 2*i - 38 = 3*s, -k*s = 3*i - 38. What is the remainder when 36 is divided by s?
17
Let s(r) = -r**2 + 5*r - 3. Let w be (0 - (-4 - -2)) + 2. Suppose -3*t = -0*t - w*a - 12, 0 = -3*t - 3*a + 33. What is the remainder when t is divided by s(2)?
2
Calculate the remainder when 22 - (0 - (-1 + 0)) is divided by 8.
5
Let y be 10/(-1)*(-10)/25. Suppose 5*w - 194 = -y*f, -w + 3*w + 5*f - 81 = 0. What is the remainder when w is divided by 13?
12
Suppose -d - 290 = -6*d. Calculate the remainder when d is divided by 12.
10
Let w(a) = a**2 - 6*a - 1. Calculate the remainder when 39 is divided by w(8).
9
Suppose 2*z + 87 = 4*g - 67, -3*g + 99 = 4*z. Suppose -o + 20 = 2*q + 5, -2*q + 2 = 0. What is the remainder when g is divided by o?
11
Let t = 3 + -2. Suppose -4*k + 7*k + 6 = 3*f, -k + 1 = 0. What is the remainder when 7*(2/t + -1) is divided by f?
1
Let t = 27 + -20. Calculate the remainder when t is divided by 5.
2
Let w = -131 - -151. Calculate the remainder when 95 is divided by w.
15
Let a(l) = -l**3 - 5*l**2 - 8. Let v be (6/1)/(-2 + 1). Let c = 35 + -25. Calculate the remainder when a(v) is divided by c.
8
Suppose -2*g + 3*x = -3*g + 42, -3*g - 3*x + 156 = 0. Suppose -120 = 33*a - 39*a. What is the remainder when g is divided by a?
17
What is the remainder when ((-15)/(-20))/(3/84) is divided by 12?
9
Calculate the remainder when 23 is divided by 5/(10/(-2)) - -7.
5
What is the remainder when ((-21)/7)/(1/(-36) + 0) is divided by 37?
34
Suppose 3*n + 2*r - 55 = 6*r, -4*r + 49 = 5*n. Suppose -2*s = 2 - 26. What is the remainder when 4/s + 148/6 is divided by n?
12
Let u(m) = -5*m**3 - 2*m**2 - 2*m - 2. Let a = 28 + -17. Let p = a - -7. What is the remainder when u(-2) is divided by p?
16
Suppose -5*h - 4*z = -47 + 8, 0 = 2*h - 3*z - 34. What is the remainder when 43 is divided by h?
10
Let i(r) = 50*r - 1. Suppose -3 = -2*f - 1. Suppose -4*b + j = -3*j - 48, -5*b + 80 = -j. Calculate the remainder when i(f) is divided by b.
15
Let g(w) = -w**3 + 6*w**2 - 3*w + 4. Let d be g(6). Let j = 0 - d. Suppose s = -5*c + j + 6, -4*c = -4*s + 32. Calculate the remainder when 18 is divided by s.
8
Let j(s) be the first derivative of 2*s**3/3 - 3*s**2/2 + s - 1. Suppose n + 4*n = 55. What is the remainder when j(4) is divided by n?
10
Let y be -2 - 0*(-2 - -1). Let h = -1 - y. Suppose 18*j - 15 = 3*j. Calculate the remainder when h is divided by j.
0
Suppose 8 = -5*j + 7*j. Suppose -2*z + 2 + j = 0. What is the remainder when 3 is divided by z?
0
Let u = -1 - -18. Calculate the remainder when 82 is divided by u.
14
Let v(x) be the first derivative of 3*x**2/2 + 6*x - 2. Let m(d) = -d - 3. Let u(z) = -11*m(z) - 6*v(z). What is the remainder when u(-5) is divided by 11?
10
Let o be -2 - -3 - 2/2. Suppose -6 = 3*q - o*q. What is the remainder when 7 is divided by (q/6)/((-1)/9)?
1
Suppose -5*s - 2*b - 10 = 3*b, -b = 5*s - 10. Let q(r) = r**3 - 6*r**2 - 2*r - 3. Let g be q(6). What is the remainder when s/((-18)/g)*10 is divided by 9?
7
Suppose -4*k + s + 372 = 0, 0 = -5*k - 5*s - 1 + 441. Suppose 3 = -2*i + 7. Suppose 0 + k = i*o. Calculate the remainder when o is divided by 16.
14
Let t(f) be the third derivative of f**4/24 - f**3/3 + 3*f**2. Calculate the remainder when t(5) is divided by 2.
1
Let l(a) = -a**2 + 6*a + 5. Let w be (-2)/5 - 17/(-5). Suppose -20 = -2*o - 2*b, w*b = -5*o + 8 + 32. What is the remainder when 28 is divided by l(o)?
8
Let n(c) be the first derivative of -2*c**2 - 3*c + 5. Let u(g) = g**3 + 8*g**2 + 7*g - 5. Let q be u(-7). Calculate the remainder when n(q) is divided by 6.
5
Let q(y) = -y**3 - 3*y**2 - 2*y + 2. Suppose 5*x - 24 = 31. Suppose x + 9 = 4*n. Calculate the remainder when q(-3) is divided by n.
3
Suppose 1 = z - 2. Let c be -2*1/(2/7). Let x = z - c. Calculate the remainder when 18 is divided by x.
8
Suppose 2*x = -10, 3*c + 0*x + 208 = -2*x. Let h = c + -22. Let q = -58 - h. Calculate the remainder when q is divided by 16.
14
Suppose 3*q = -0*q + 3*f + 78, 3*q + 3*f - 78 = 0. Let l(b) = b**2 - b + 7. Calculate the remainder when q is divided by l(0).
5
Suppose 