16
Let f = 16 - 14. Suppose 5*h - 55 = -3*p - 9, f*p + 3*h = 30. What is the remainder when p is divided by 7?
5
Let n(x) be the first derivative of -11*x**2/2 + x - 1. Calculate the remainder when n(-3) is divided by 9.
7
Let t(g) = -g**2 - 2*g + 1. Let n be t(-5). Let d = -10 - n. Calculate the remainder when 11 is divided by d.
3
Suppose 2*s = 3*l + 38, 3*s = -l + 2*l + 50. Suppose 183 = v + 2*v. Calculate the remainder when v is divided by s.
13
Let o = 6 - -6. Calculate the remainder when 14 is divided by o.
2
Suppose r - 315 = -4*r. Let b = -481 + 503. Calculate the remainder when ((-8)/6)/((-2)/r) is divided by b.
20
Suppose -v + 80 = 4*v - 5*a, 0 = -3*a - 12. Calculate the remainder when 33 is divided by v.
9
Let x(c) = -c**3 - 3*c**2 + 4*c - 2. Let n be x(-5). Let q(l) = -l**3 + 5*l**2 + 10*l - 9. What is the remainder when q(6) is divided by -3*(2 + n/(-6))?
7
Suppose -3 - 1 = -y. Let p(c) = c + 3. What is the remainder when p(12) is divided by y?
3
Suppose -33 = -f - 2*f. Calculate the remainder when f*3*(-12)/(-18) is divided by 12.
10
Let v = -5 + 25. Suppose -13 = -3*f + v. Calculate the remainder when 20 is divided by f.
9
Calculate the remainder when 9 is divided by (-6)/(2 - 9/3).
3
Let a(y) = 23*y + 13. Let c be a(9). Suppose 2*v - c = -3*v. Let m = 36 + -21. Calculate the remainder when v is divided by m.
14
Suppose 5*z - 40 = z. Calculate the remainder when 29 is divided by z.
9
Suppose 12 = 4*w - 4*n - 0*n, w - 2*n = 5. Let m be -3*1*(-13)/w. Suppose -m = -a - 4. Calculate the remainder when a is divided by 12.
11
Let h(f) = 4*f**2 + 2*f - 3. Calculate the remainder when h(3) is divided by 12 - (2 + 0 + 0).
9
Let n(p) = 96*p**3 - p**2. Let x be n(1). Let t = x - 52. Calculate the remainder when t is divided by 15.
13
Suppose -24 = -2*y - 0*y. Let t(a) = a**3 + 4*a**2 - 2*a - 5. Let q be t(-4). Calculate the remainder when 1 + 7*q + 1 is divided by y.
11
Let k(j) = 2*j + 45. What is the remainder when k(9) is divided by 11?
8
Suppose 3*a + 2*k + 32 = 190, -4*a + 4*k = -244. Calculate the remainder when a is divided by (19 - 4) + 16/4.
18
Let y be (72 - (-4)/4)*-1. Let d = -24 - y. What is the remainder when d is divided by 13?
10
Calculate the remainder when 39 is divided by (354/9)/2 - (-8)/24.
19
Let g = 11 + 3. Let q(m) = -m**2 - 7*m + 6. Let d be q(-5). What is the remainder when 4 - 4/(d/(-92)) is divided by g?
13
Suppose 2*c = -2*c + 24. What is the remainder when ((-4)/10)/((-2)/10) is divided by (-32)/(-12) + (-4)/c?
0
Suppose -3*v - 2*v + 15 = 0. What is the remainder when 9 is divided by v?
0
Let n(d) = d + 4. Let t(s) = -s**2 - 2*s + 5. Let i be t(-4). What is the remainder when n(i) is divided by 1?
0
Let y be 4/(-12) - (-11)/(-3). Let l = y - -6. What is the remainder when 21 is divided by 5/(-5) - (-18)/l?
5
Suppose 5*o = o + 40. What is the remainder when o is divided by (-11)/(-2) + (-5)/(-10)?
4
Suppose -5*z + 5*q - 3*q + 255 = 0, 0 = 3*z - q - 154. Calculate the remainder when z is divided by 28.
25
Suppose 2*p = -0*p + 32. Calculate the remainder when 29 is divided by p.
13
Suppose -4*c - 656 = 4*d, 3*c = -4*d + 7*d - 498. Let q = -118 - c. Suppose -3*l + 19 = -17. Calculate the remainder when q is divided by l.
11
Let r(a) = 3*a**2 - 47*a - 14. Suppose 0 = -l - 3*l + 2*b + 18, 42 = 5*l + 4*b. What is the remainder when l is divided by r(16)?
0
Let q(x) = x**3 - 5*x**2 + 4*x - 3. Let s be q(3). Calculate the remainder when (-843)/s + (-4)/6 is divided by 19.
17
Let m(p) = -p**2 + 11*p - 15. Suppose 2*y = w - 2*w + 24, 0 = 3*y - 3*w - 18. Let k be m(y). Calculate the remainder when 10/25 - 138/k is divided by 15.
13
Let v(b) = b**3 + 0*b**3 + 3*b + 2*b. Let x be v(4). Suppose 66 = 4*t + 5*z, 4*z + x = -2*t + 6*t. What is the remainder when t is divided by 7?
5
Let f(k) = -6*k + 1. Let j be f(-2). Let d = j + -22. What is the remainder when (15/(-2))/(d/12) is divided by 6?
4
Suppose -7*w + 32 = -3*w. Suppose -o = o. Suppose 2*y - y - 3 = o. Calculate the remainder when w is divided by y.
2
Suppose 9 = 3*o - 12. What is the remainder when 11 is divided by o?
4
Let n = -5 + 13. Let p = 53 - 40. Calculate the remainder when p is divided by n.
5
Let k(d) = d**2 - 2*d + 3. Let i be k(2). Let r = 0 + i. What is the remainder when 7 is divided by r?
1
Let v(d) = 0*d - 5*d**2 + 2*d + 8 - d**3 + 8*d**2 + 5*d**2. What is the remainder when v(8) is divided by 13?
11
Suppose 16 + 0 = r - 5*d, -2*r + 3*d = -32. Suppose -4*b = -5*h - 4, b - 1 = 3*h - 7. What is the remainder when r is divided by b?
4
Let b = 18 + 16. Calculate the remainder when 63 is divided by b.
29
Suppose 5*b = 3*m - 45, -55 + 21 = -4*m - 2*b. Calculate the remainder when 37 is divided by m.
7
Let l(n) = -2 + 2*n + 3*n + 0*n. Suppose 3*r - 55 = 17. Calculate the remainder when r is divided by l(3).
11
Suppose 4*w - 3*w + 2 = 0. Calculate the remainder when 19 is divided by (w/(-2))/((-8)/(-80)).
9
Let n(b) = -b**2 + 3*b + 4. Let s(c) = c + 1. Let q(m) = -n(m) + 4*s(m). Calculate the remainder when q(4) is divided by ((-2)/3)/(2/(-21)).
6
Let d be (-287)/35 + (-1)/(-5). Suppose -33 = -2*l - 9. Let z = d + l. Calculate the remainder when 6 is divided by z.
2
Suppose -2*y + i + 3*i = -144, 0 = 3*y + i - 181. Suppose 5*a - 68 = -5*k + 17, k - 5*a - 41 = 0. Calculate the remainder when y is divided by k.
20
Suppose -m - 84 = -7*m. Let y(t) be the second derivative of -4*t**3/3 - 7*t**2/2 - t. Calculate the remainder when y(-6) is divided by m.
13
Suppose 0*v = 4*v + i - 75, -4*v = 2*i - 74. What is the remainder when 54 is divided by v?
16
Suppose 17*f - 335 = 12*f. Suppose -4*a = -5*a + 14. What is the remainder when f is divided by a?
11
Let v(y) = 10*y**3 - 2*y**2 + 4*y - 5. Calculate the remainder when v(2) is divided by 19.
18
Let r(k) = -4*k + 98. What is the remainder when r(21) is divided by 2?
0
Suppose -5*h + 135 = 3*v, 4*v - 5*h - 231 + 16 = 0. Let g be -2 + (-2)/((-4)/62). Let q = g + -12. What is the remainder when v is divided by q?
16
Let a = -3 + 5. Suppose 0 = -3*b - a*b + 4*k + 87, -b - 4*k + 3 = 0. Calculate the remainder when 44/(-10)*(-15 - -5) is divided by b.
14
Suppose -q + 4*b = 2*q + 3, 0 = -q - 5*b - 20. Suppose 0*p + p = -i - 13, 2*p + 10 = 0. Let v = q - i. What is the remainder when 7 is divided by v?
1
Let v(d) = -d**3 + 9*d**2 + 2*d - 1. Suppose 2*k - 96 = 3*q, -q + 192 = 5*k - k. What is the remainder when k is divided by v(9)?
14
Let u(s) = -3*s. Let y be u(-1). Suppose -y*q + 8 = q. Suppose -q*c + 20 = -0*c. Calculate the remainder when 29 is divided by c.
9
Suppose -10*q + 30 = -50. Let d = -72 + 138. Suppose h + 7 = 3*c + 29, 0 = -3*h + 4*c + d. Calculate the remainder when h is divided by q.
6
Let z = 22 - 12. Let d be -3 + (z - (2 + 0)). Suppose 4*i = d*i - 33. Calculate the remainder when i is divided by 17.
16
Suppose 0 = 5*s + 20, -4*w + 4*s = -w - 43. What is the remainder when 15 is divided by w?
6
Suppose -5*k - 715 = -10*k. What is the remainder when k is divided by 29?
27
Suppose -135 = -2*w - 5*j - 17, -5*w + 241 = -j. Suppose 2*h = 5*h - 51. Calculate the remainder when w is divided by h.
15
Let k(w) = w**3 - 24*w**2 + 24*w - 11. What is the remainder when k(23) is divided by 5?
2
Suppose 0*u - 2*u + 12 = 0. Suppose -u*c + 51 = -339. Let n(i) = i**3 + 6*i**2 + i + 2. What is the remainder when c is divided by n(-5)?
21
Suppose -164 + 49 = -5*n. Let f be (1 - (-4)/(-1)) + 10. What is the remainder when (45/(-4))/(f/(-28)) is divided by n?
22
Let c be 3/((-5)/((-10)/3)). Suppose -2*s + c + 0 = 0. Suppose -3*g - s = -31. What is the remainder when g is divided by 4?
2
Calculate the remainder when 39 is divided by (0 - 1) + (-2 - -23).
19
Suppose 0 = -5*d - 1 + 6. Calculate the remainder when (3 - 4)*(-9 + d) is divided by 3.
2
Let n(s) = -2*s**2 - 6*s - 1. Let d be n(-7). Let h = -18 - d. What is the remainder when h is divided by 21?
18
Suppose 196 = 11*t - 57. What is the remainder when 45 is divided by t?
22
Suppose -3*z + 21 + 24 = -3*h, 59 = 4*z - 3*h. Suppose 4*v = 3*t + z, -2*v - 2*t + 24 = 2*v. Suppose p = 3*p - 4. What is the remainder when v is divided by p?
1
Suppose 4*g + 4 = -4*f + 32, -4*g = f - 13. Suppose g*b = -0*b + 14. Calculate the remainder when b is divided by 5.
2
Suppose -10*m + 4