
8
Let d(l) = -l**3 + 10*l**2 + 2*l + 11. Let y be d(10). Suppose -3*w + 5*i + y = 0, -2*w = -3*w - 5*i + 37. Calculate the remainder when 50 is divided by w.
16
Suppose -f = -2*z + 23, 2*z + 25 = -2*f - 21. Let d = f + 34. What is the remainder when 42 is divided by d?
9
Let l(a) be the second derivative of a**3/3 - 9*a**2/2 - 2*a. Calculate the remainder when l(8) is divided by 4.
3
Let v be 33/27 + (-2)/9. Suppose 2*n = -3 + v. Let z = 4 + n. What is the remainder when 3 is divided by z?
0
Let m(z) = z**2 + 13*z - 13. Let a be -7 + -6 + 3 + -2. Let h be m(a). Calculate the remainder when (-965)/h - 2/(-5) is divided by 10.
9
Let s = 48 - 24. Suppose -i = -c - 101, 0*i = -3*i - 5*c + 287. Suppose 3*q - i = s. What is the remainder when q is divided by 11?
8
Let g = -53 - -64. Calculate the remainder when 170/4 + 3/6 is divided by g.
10
Suppose -1 = z - 4. Suppose 4*d - 3 = -4*a + 5, 3*d - 6 = 5*a. Calculate the remainder when z is divided by d.
1
Suppose 0 = -2*u - 3*u + 10. Suppose 2*s - 12 = 4*i + s, u*s + 3 = -i. Let y(v) = -v**2 - 4*v. What is the remainder when 11 is divided by y(i)?
2
Suppose 6*l = 5*l. Suppose -w - 2*b + 10 = -l*b, -5*w + 70 = 5*b. What is the remainder when 52 is divided by w?
16
Suppose -435 = -10*c + 185. Calculate the remainder when c is divided by 17.
11
Let o(j) = 3*j - 1. Let h(t) = -t**3 + 9*t**2 - 8*t + 2. Let k be h(8). Calculate the remainder when (-368)/32*k*-1 is divided by o(3).
7
Let t be (-44)/(-24) + (-2)/(-12). Let h(d) = -d - 2. Let c be h(t). What is the remainder when 18 is divided by (-2 - c)/((-2)/(-10))?
8
Let h(g) = -3*g**3 - 3*g**2 - 2*g - 2. Calculate the remainder when h(-3) is divided by 0 + 4/4 - -19.
18
Calculate the remainder when (2 + (0 - 7))*-13 is divided by 17.
14
Suppose 0*o - 235 = -5*o. Calculate the remainder when o is divided by 13.
8
Let r = -55 - -92. Suppose 5*o + 0 - 10 = 0. Suppose -o*n + 2*m + 22 = 2, 5*n = -3*m + 74. Calculate the remainder when r is divided by n.
11
Let x(b) = 8*b - 2. Calculate the remainder when x(4) is divided by (-1 - -1)/(-1) - -16.
14
Suppose 16 = 2*m - 94. What is the remainder when m is divided by 14?
13
Suppose -2*o + 3*u - 46 = 0, -o - 3*u = o + 34. Calculate the remainder when (-226)/(-10) + (-8)/o is divided by 8.
7
What is the remainder when (0 - (-6)/8)/(31/1612) is divided by 20?
19
Suppose 3*a - 10 = 3*x - 4, -4*a - x = -18. Suppose -a*p + c + 261 = 0, 3*p - 200 = -c + 6*c. What is the remainder when p is divided by 22?
21
Let r(i) = i - 4. Let m be r(6). What is the remainder when 25 is divided by (m + -1)/((-5)/(-70))?
11
Let m(c) = -22*c - 5. Let v be m(-2). Suppose -u + v = 4*u + 4*x, 0 = -u - 4*x + 11. Suppose 9 = h - 3. Calculate the remainder when h is divided by u.
5
Let b(m) = 17*m**2 - m + 1. Calculate the remainder when b(2) is divided by 23.
21
Let s = 37 - 17. Let d be 1 + -3 + 3*3. Suppose 0*n - d = -n. What is the remainder when s is divided by n?
6
Suppose -4*t - 5*o = -91, o - 3 = t - 28. Suppose h - 12 = t. Calculate the remainder when h is divided by 13.
10
Suppose 3*o = -6 + 3. Let v be o/(-5) - 45/(-25). What is the remainder when 11 is divided by 3 - v - (-15)/3?
5
Let g(i) = -10*i - 16. What is the remainder when g(-5) is divided by 7?
6
Let l = 36 + 39. Calculate the remainder when l is divided by 19.
18
Suppose 3 = -0*c + c. Let g = 7 + -5. Suppose -g*v + 4*y = -22, 4*v - 3*v - 8 = y. What is the remainder when v is divided by c?
2
Suppose 120 = r + 5*r. Calculate the remainder when 57 is divided by r.
17
Let x(r) = -5*r - 6. Let c be x(-4). Suppose -4*j + 4*u + 18 = -34, u - c = -2*j. Calculate the remainder when j is divided by 3.
0
Suppose -4*o + 37 + 35 = 0. What is the remainder when o is divided by 5?
3
Let u(d) = 5*d**2 + d. Let z be u(-1). Let p(w) = 2*w + 4. Calculate the remainder when p(z) is divided by ((-1)/(-3))/(2/42).
5
Let b = -28 - -17. Let j = 8 - b. Calculate the remainder when 75 is divided by j.
18
Let y = 2 + -1. Let k(s) = 2*s**2 - 7*s + 8. Let r be k(4). Calculate the remainder when r/7 + 6/21 is divided by y.
0
Suppose -30 = -2*i - 0*i. Let f(r) = -r - 2. Calculate the remainder when i is divided by f(-8).
3
Suppose 3*k + 5*r = -30, -4*k - 2*r = -6*r + 40. Let d = k - -24. What is the remainder when 40 is divided by d?
12
Let x be ((-24)/8)/((-3)/2). What is the remainder when 2/(x/15)*3 is divided by 18/(1 - 2/(-4))?
9
Let q = 766 - 709. Let n be 0/(4 + -2 + -1). What is the remainder when q is divided by 1 + -1 - n - -15?
12
Suppose -4*x + 4*p = -2*x, -2*x = p - 20. What is the remainder when x is divided by ((-66)/(-24) - 3)/((-1)/20)?
3
Let k = -16 + 33. What is the remainder when (-2)/((294/(-99))/(-1) - 3) is divided by k?
15
Let r = 43 + -35. Calculate the remainder when 20 is divided by r.
4
Let r be -2*(1 + 0) - -3. Let c = r + 1. What is the remainder when 3 is divided by c?
1
Calculate the remainder when 62 is divided by 8/(-60) - (-242)/15.
14
Let x = 0 - -2. Let d be x/(-5) + 77/5. Calculate the remainder when (2 - 1)/(1/d) is divided by 8.
7
Let h = -10 - -17. What is the remainder when 20 is divided by h?
6
Calculate the remainder when 44 is divided by 10/(-6)*-5 - (-32)/48.
8
Suppose 17*f = 15*f + 42. What is the remainder when 60 is divided by f?
18
Let y be 19 - (3 - 5)/(-2). Suppose -n = -3*n - 10. Let z = n + y. Calculate the remainder when 50 is divided by z.
11
Suppose -8 = -2*d - 2, 33 = 3*u - 2*d. Calculate the remainder when 37 is divided by u.
11
Let d = -6 - -19. Suppose 4*v + 5*j = 15, 5 = 3*v + j - 9. Suppose 2*n = -v*m + 14, 2*n = 4*n + m - 14. What is the remainder when d is divided by n?
6
Let v(j) = j**3 + j**2 + j + 7. Let f be v(0). Let q = f - -1. Suppose -4*m + 19 + 73 = 0. What is the remainder when m is divided by q?
7
Let h(c) = -14*c + 1. Let j be h(-1). Suppose -5*o = -3*o. Suppose -j = -o*x - x. What is the remainder when x is divided by 8?
7
Suppose 5*d - 140 + 40 = 0. Let b be -5 + -4 - (-1 - 1). What is the remainder when d is divided by (-47)/(-7) + (-2)/b?
6
Let p(q) = 9*q**2 - q + 2. Calculate the remainder when p(-2) is divided by 14.
12
Let k = -25 + 68. Let v = 72 - k. Suppose 3*l + 5*p = 45, 5*l - 40 - 22 = -4*p. Calculate the remainder when v is divided by l.
9
Let m = 17 - 9. Suppose 0 = -5*d + v + 20, 16 = 2*d - 0*d - 2*v. Suppose d*r - 35 - 34 = 0. Calculate the remainder when r is divided by m.
7
What is the remainder when 40 is divided by -6*(-8)/3 + -2?
12
Let h be (-6)/(-2 + (-1)/(-2)). Let c be 8/h*(-20)/1. What is the remainder when c/(-2) - 0/3 is divided by 11?
9
Let o(v) = v**2 - 15*v + 38. Calculate the remainder when 6 is divided by o(12).
0
Suppose -7*v + 12 = -3*v, -2*v = -2*m. Suppose -k + 18 = -4*k. Let n = 10 + k. What is the remainder when n is divided by m?
1
Let x(w) = -w**3 - w**2 + 4*w + 5. What is the remainder when 4 is divided by x(-2)?
0
Let y = 34 - 15. Suppose 2*w + 222 = 5*x - 59, -4*x + 5*w = -235. Calculate the remainder when x is divided by y.
17
Let f = -10 - -21. Calculate the remainder when 42 is divided by f.
9
Let o(v) = -v**2 + 2*v + 24. What is the remainder when o(0) is divided by 13?
11
Let x(p) = p**2 - 2*p - 1. Let a(l) = -l + 1. Let y be a(2). Let m = y - 2. What is the remainder when x(m) is divided by 5?
4
Suppose -2*g + 47 = -9. Calculate the remainder when 110 is divided by g.
26
Let d(o) = -o + 20. What is the remainder when 38 is divided by d(12)?
6
Suppose 2*m = 6*m + 64. Let x = -26 - m. Calculate the remainder when x/55 - 290/(-22) is divided by 5.
3
Calculate the remainder when 44 is divided by (7/(-2))/((-7)/28*2).
2
Suppose -w = -3*k - 31, -k + 111 = 4*w - 0*k. Suppose -4*d + 0 = -w. Calculate the remainder when 20 is divided by d.
6
Let j(h) = h**3 + h + 22. Let a be (-1 - 0)*(-3 - -2). Suppose -a = i - 9. What is the remainder when j(0) is divided by i?
6
Let p(b) = -3*b**2 + 1. Let u be p(-1). What is the remainder when (u/3)/((-3)/9) is divided by 1?
0
What is the remainder when 4/(-5)*-1*15 is divided by (10 - 16 - (2 + -2)) + 13?
5
Suppose m - 3*m = -14. Let p(c) = -c**3 + 7*c**2 - 5*c - 2. Let x be 6*(1 - 2 - -2). Calculate the remainder when m is divided by p(x).
3
What is the remainder when 51 is divided by 2/3 - 500/(-60)?
6
Suppose 0 = -5*d - 0*g + 2*g + 80, 2*