ppose 5*q - 15 = 20. Calculate the remainder when 10 is divided by q.
3
Let k = -7 + 9. Suppose 39 = 5*o - k*c, -6 = 3*o - 2*o - 5*c. Calculate the remainder when o is divided by 5.
4
Suppose 0*n - 11 = -n. What is the remainder when 52 is divided by n?
8
Let g(k) = -k**2 - 7*k + 9. What is the remainder when 25 is divided by g(-7)?
7
Let l(k) = -k**3 - 7*k**2 - 2*k. What is the remainder when l(-7) is divided by 6?
2
Let f = 18 - 15. Suppose -4*y = -3*v - 47, -5*y = -7*v + f*v - 58. What is the remainder when y is divided by 3?
2
Let f(p) = p**2 - 5*p + 1. Let l(y) = 5*y**2 + y + 1. Let v be l(-1). Let c = -1 - -2. What is the remainder when f(v) is divided by c?
0
Let k(b) = -2*b + 20. Calculate the remainder when k(-16) is divided by 20.
12
Let w(r) = r + 9. Let i be w(-5). Suppose 3*t = i*t - 19. Suppose 20 = 2*x + 3*n, -5*x - 3*n = -15 - 26. Calculate the remainder when t is divided by x.
5
Let o = 25 + -9. Let l = o + -10. Calculate the remainder when 14 is divided by l.
2
Let r = -2 + 1. What is the remainder when -1 + -1 - (-34 - r) is divided by 11?
9
Let i be (2 - (1 - 0)) + 43. Suppose 0 = 5*f + 4*v - i - 27, 0 = f + v - 14. Calculate the remainder when 44 is divided by f.
14
Let k = 12 + -7. Calculate the remainder when 18 is divided by k.
3
Suppose -p + 25 = 5*t, 2*t + 8 = 3*p - 16. Let z(j) = 11*j - 15. Calculate the remainder when z(3) is divided by p.
8
Let c be 0 - (4/4 - 1). What is the remainder when 2 is divided by -2 + c + -1 + 4?
0
Let i = -29 + 11. Let u = i - -25. Calculate the remainder when 18 is divided by u.
4
Let y(d) = 8*d**2 - d - 4 + 5 + 0. Suppose 2*o - 86 = -3*g + 3*o, 2*g - 48 = 3*o. What is the remainder when g is divided by y(1)?
6
Let z = 0 + -1. Let c be 1 - (z + 0)*3. Suppose 5*j = -c*u + 13, -j - 6*u + u - 10 = 0. What is the remainder when 13 is divided by j?
3
Suppose 4*m - 5*c - 46 = 0, -18 = -2*m + c + 2. What is the remainder when 3 - (-9)/(9/14) is divided by m?
8
What is the remainder when -1*3/3*-53 is divided by 14?
11
Suppose -3*a = -15, 0 = -3*w - 3*a - 2*a + 40. Suppose -r - 2*r - 117 = -3*u, -w*r = 5*u - 215. Calculate the remainder when u is divided by 14.
13
Let p(q) = 2*q**3 - 21*q**2 + 13*q - 15. Calculate the remainder when 74 is divided by p(10).
14
Suppose -2*y = 3*p - 421, 4*p - 617 + 33 = 3*y. Let i = p - 97. Let q(r) = r**2 - 2*r + 4. What is the remainder when i is divided by q(4)?
10
Suppose 49 = -d + 4*d + 4*f, 0 = 5*d - 3*f - 130. Suppose 4*q + 3*v - 120 = 0, q + v = 2*q - d. Calculate the remainder when q is divided by 14.
13
Let h = -99 + 151. What is the remainder when h is divided by 28?
24
Let s be (13 - -1 - 2) + 0. What is the remainder when 28 is divided by (s/(-8))/(3/(-20))?
8
Suppose 0 = 2*d - 5*n + 74, 5*n + 111 = -4*d + d. Let b = -44 - -70. Calculate the remainder when b is divided by (-27)/108 - d/4.
8
Let n(p) = -p**2 + 7*p - 2. Let r be n(5). Suppose -l + r + 9 = 0. What is the remainder when l is divided by 6?
5
Let s = -33 + 61. Calculate the remainder when 108 is divided by s.
24
Calculate the remainder when 40 is divided by -14*(2 + 1 - 4).
12
Let a = -4 - -1. Calculate the remainder when 35 is divided by a*(-2 - (0 - -4)).
17
Let j(o) = 4*o + 3. Let v be 2/4 + (-15)/(-6). What is the remainder when j(v) is divided by (-46)/(-6) + 2/6?
7
Suppose -5*g = 3*c - 49, 6*c - 4*g = 4*c + 40. What is the remainder when 70 is divided by c?
16
Let r = 24 - 11. Let z(g) = g**3 - 7*g**2 + 12*g - 13. What is the remainder when z(6) is divided by r?
10
Let j(c) = -c**3 + 7*c**2 + 4*c - 1. Suppose 3*p - 5*l + 3*l - 52 = 0, -3*p + l + 47 = 0. What is the remainder when j(7) is divided by p?
13
Let p(q) = 2*q**3 - 2*q**2 + 1. Let b = -20 - -53. Calculate the remainder when b is divided by p(2).
6
Suppose -2*h = 5*s - 252, 0 = h - 1 + 5. Suppose -s = 3*p - 7*p. What is the remainder when 25 is divided by p?
12
Let b(o) = o**2 + 7*o. Let n be b(-6). Calculate the remainder when n + 7 - 3*-30 is divided by 23.
22
Suppose 5*t + 3*k - k + 180 = 0, 4*k = 20. Let m = -25 - t. What is the remainder when 37 is divided by m?
11
Suppose w + 3*w = 0. Let m be -3 + w/(-1*2). What is the remainder when 16/(-3)*(-6 - m) is divided by 9?
7
Suppose 2*r - 32 = -0*r. Suppose 2*m = -a - 4*a, -2 = a. Suppose 0 = -m*u + 259 - 29. Calculate the remainder when u is divided by r.
14
Let i(o) = -o**3 + 11*o**2 + 2*o - 21. Calculate the remainder when 11 is divided by i(11).
0
Suppose 3*g - 4*b - 25 = 0, 0*g - 3*b = -5*g + 27. Suppose 0 = g*m - 5*m + 5*z + 57, 117 = 5*m - 4*z. Calculate the remainder when m is divided by 11.
10
Suppose -3*x + 9 - 15 = 0. Let s = 4 + 4. What is the remainder when 19 + (24/x)/(-3) is divided by s?
7
Let p be (-21)/3 - (-1 + 1). Let h = p - -24. Calculate the remainder when h is divided by 74/8 + 2/(-8).
8
Let y(h) = -h**2 + 13*h - 4. Calculate the remainder when y(7) is divided by 10 + (2 - 2) + 3.
12
Calculate the remainder when 158 is divided by 2 - (1 + -1) - -30.
30
Let b(u) = -5*u. Let v be b(-1). Let k = v - 0. What is the remainder when 8 is divided by k?
3
Let i be 1/2 + (-18)/(-12). Suppose -120 = -i*p - s, -2 = s - 6. What is the remainder when p is divided by 12?
10
Let y(f) = f**3 - 2*f - 3. Let n be y(-2). Let v be ((-5)/3 - -2)*-3. Let d = v - n. Calculate the remainder when 10 is divided by d.
4
Let y = -18 + 18. Suppose v + 3 - 13 = 3*m, -2*v + 4*m + 16 = y. Let r = 9 + -4. Calculate the remainder when r is divided by v.
1
Let t be 0/(0 - (1 + 1)). Suppose -h + 23 = 2*r, t*h - h = -r - 14. Calculate the remainder when 33 is divided by h.
16
Let v(z) = 9 - 3*z - 2 + z**2 - 3*z. What is the remainder when 40 is divided by v(7)?
12
Suppose -6*k + 36 = -3*k. Let v = 10 + k. What is the remainder when v is divided by 6?
4
Let k(h) = 2*h - 40. What is the remainder when 23 is divided by k(23)?
5
Suppose 5*l = 4*l + u - 32, -3*l + 4*u = 98. What is the remainder when 53 is divided by (-3)/l*6*30?
17
Suppose -3*t + 7*t - 72 = 0. Suppose 0 = q - 2*g - 2*g - 19, -2*q = -3*g - 58. Calculate the remainder when q is divided by t.
17
Let x(p) = 4 + 2 - p**2 + 6*p**2 + p**3 - 2*p. What is the remainder when x(-5) is divided by 9?
7
Suppose -4*w + 3*w = -65. Calculate the remainder when w is divided by 17.
14
Let m(b) = -31*b**2 - 5*b - 6. Let z(v) = -31*v**2 - 4*v - 5. Let s(p) = 5*m(p) - 6*z(p). What is the remainder when 127 is divided by s(-1)?
31
Suppose -123 = -2*v + v. Calculate the remainder when v is divided by 18.
15
Suppose 0*j + 15 = 3*j. Calculate the remainder when 3/(3 - 216/76) is divided by j.
4
Suppose -2*g - g = 4*p - 44, -4 = -p + g. Calculate the remainder when 14 is divided by p.
6
Suppose 5*w - 369 - 63 = -2*a, -5*w = -2*a - 448. Calculate the remainder when w is divided by 13.
10
Suppose 15*q - 692 = 2173. Calculate the remainder when q is divided by 24.
23
Suppose -2*g = 4*p - 96, 2*p - 7 = 1. What is the remainder when g is divided by 15?
10
Let b(s) = -s**2 - 13*s - 9. Let z be b(-11). Let l(f) = -f**2 - 5*f + 5. Let o be l(-6). Let v = z + o. Calculate the remainder when 46 is divided by v.
10
Let f(c) = -4*c**3 + 2*c - 1. Let m be f(1). Calculate the remainder when (-1)/m - 173/(-3) is divided by ((-16)/12 + 3)*(-24)/(-2).
18
Suppose -5*l + 3*l = -42. What is the remainder when 62 is divided by l?
20
Let u = 8 - -3. Let s = 16 - u. Suppose -4*c + 245 = s*m + 94, -3*m = -2*c - 95. What is the remainder when m is divided by 11?
9
Let g(t) = -t + 24. What is the remainder when 27 is divided by g(13)?
5
Calculate the remainder when -3 + (-38)/(-12) + 131/6 is divided by 14.
8
Let t(i) = i**2 + 12*i - 1. Let y be t(-12). Let v = 3 + y. Calculate the remainder when v is divided by 2.
0
Let o(d) be the first derivative of d**3 - d**2/2 + d - 1. What is the remainder when o(4) is divided by 12 + (-2 - -2 - 0)?
9
Let y(g) = g**2 - 2*g + 4. Let i be (-471)/(-12) - (-9)/12. Suppose r = -3*j - 0*j + 16, -i = -2*r - 2*j. What is the remainder when r is divided by y(4)?
10
Suppose 13 = 2*g - 1. What is the remainder when 12 is divided by g?
5
Let d(g) = 3*g**3 - 7*g**2 + 4*g - 9. What is the remainder when d(3) is divided by 11?
10
Let t = -15 - -50. Suppose 5*s - t = 2*d, -2*s + 0*s + 43 = 5*d. Suppose 6*g - s = -3*c + 3*g, -c + 1 = 3*g. What is th