
7
Suppose -r + 0*l - l + 13 = 0, -3*r + 35 = 5*l. Calculate the remainder when r is divided by 6.
3
Suppose -p + 13 = -27. Calculate the remainder when p is divided by 15.
10
Let n be (-1 - -7)/((-2)/(-6)). Suppose 0 = -r + 4*r - 18. Let i = n - r. What is the remainder when 22 is divided by i?
10
Suppose 0 = -2*f - 0*l + l + 172, 2*f + l - 176 = 0. Calculate the remainder when f is divided by 22.
21
Let j(i) = i**3 - 5*i**2 - 6*i + 8. Suppose -2*f = 2*f - 116. Calculate the remainder when f is divided by j(6).
5
Let q(a) be the second derivative of -a**4/12 + 5*a**3/3 - a**2/2 + a. Let m = 40 - 27. Calculate the remainder when q(5) is divided by m.
11
Suppose -6 = y + y, -5*j = 5*y. Let f(w) = -w + 0*w**3 - 7*w**2 - 5*w - 4 - w**3 - j*w. Calculate the remainder when 40 is divided by f(-6).
12
Let u(c) = -10*c + 1. What is the remainder when (-2)/(-1) + 123/3 is divided by u(-1)?
10
Let d(t) = -12*t + 6. What is the remainder when d(-4) is divided by 11?
10
Let w(g) = -g**2 + 15*g - 18. What is the remainder when 37 is divided by w(13)?
5
Let p(q) = q**3 - q**2 + 3. What is the remainder when p(3) is divided by 8?
5
Let t(c) = -6*c - 67. What is the remainder when 43 is divided by t(-13)?
10
Let d = -7 + 11. Suppose 5*p - d*s - s - 50 = 0, p - 12 = 3*s. What is the remainder when 17 is divided by p?
8
Calculate the remainder when ((-2)/3)/(3 + 155/(-51)) is divided by -1*(-2 - -3)*-5.
2
Let y(k) = k**3 - k**2 - 3*k. Let l(t) = -t**3 - t + 4. Let z be l(0). Let w be y(z). Suppose 0 = m - 3*m + w. Calculate the remainder when 34 is divided by m.
16
Suppose -39 = -4*u + 33. Calculate the remainder when u is divided by 11.
7
Suppose -2*h = -w + 31, 4*h = -2*w - 47 + 5. Suppose b - 4*b - 5 = -2*f, -5*f + 16 = -4*b. Calculate the remainder when (b + h)/((-6)/4) is divided by 5.
3
Suppose 2*w - 5 = m, -5*m = -2*w - 3*m + 8. Suppose 4*j - 13 = -w. Suppose 0 = 2*l, 0*l = 2*t - 2*l - 16. What is the remainder when t is divided by j?
2
Let q(o) = o + 45. Let f be q(0). Suppose -f = -4*x + 19. What is the remainder when 46 is divided by x?
14
Suppose -g = 3*b - 15, 0 = -b + 6 - 5. Let q(l) = -l**3 + 6*l**2 + 7*l - 8. Calculate the remainder when q(6) is divided by g.
10
Calculate the remainder when 43 is divided by -1 - (-1 + -25 + 3).
21
Let v(m) = 36*m + 1. Let j be (-5)/(-2) + (-4)/8. Calculate the remainder when v(j) is divided by 19.
16
Let l(k) = -k**2 - 11*k + 15. Let h be l(-11). Suppose -4*c = -c - h. Calculate the remainder when 9 is divided by c.
4
Let a(h) = h**2 + 7*h - 9. Let g be a(-7). Let z = -2 - g. What is the remainder when 25 is divided by z?
4
Suppose 0 = 11*k - 2*k - 657. What is the remainder when k is divided by 25?
23
Let z = 38 - 29. What is the remainder when z is divided by 5?
4
What is the remainder when 43 is divided by (-6)/33 + 5/(330/738)?
10
Let t = -43 + 54. Calculate the remainder when 43 is divided by t.
10
Suppose 1 = 2*a - 4*b - 11, -3*a = 3*b + 9. Suppose 5*p - 51 + 16 = a. Calculate the remainder when 18 is divided by p.
4
Suppose -67 = -2*v - 5*m, 0 = m + 1 - 4. Calculate the remainder when 48 is divided by v.
22
Let i = 75 - 56. Calculate the remainder when 111 is divided by i.
16
What is the remainder when 316/(-6)*(-6)/4 is divided by 16?
15
Let z(o) = -o**3 + 2*o**2 + 4*o - 2. Let i be z(-4). Let u = i + -49. Calculate the remainder when u is divided by 16.
13
Let x = -8 - 0. Let p = x + 10. Suppose -19 = -3*j - 4*g, -3*g = -j - j + 7. Calculate the remainder when j is divided by p.
1
Let k be (-6)/(-4) + 393/6. Let p = k - 37. What is the remainder when 58 is divided by p?
28
Let y be 35/15 + 2/3. Suppose -y*v + 2*v - 13 = -5*a, -4*a + 4*v + 4 = 0. Suppose -2*h - a*h + 85 = 0. What is the remainder when h is divided by 10?
7
Suppose -4*x = -z - 4*z - 99, 5*z = -5*x + 180. Calculate the remainder when x is divided by 17.
14
Let a be 2/((-6)/(-75) + 0). Suppose -i - 3*d = -15, -3*d - 1 = 2*i - a. Let p = i - 6. Calculate the remainder when 10 is divided by p.
1
Let p = -8 + 15. Let q be -1 + 4*1/2. What is the remainder when p is divided by -1*(1 + q - 6)?
3
Suppose 4*m - 8 = -24, 5*m + 12 = -2*f. Suppose -f*g = -0*g - 52. Let p = 22 - -16. What is the remainder when p is divided by g?
12
Let p(i) = -2*i + 3. Let f = 7 + -12. What is the remainder when p(f) is divided by (-1)/(4/8) - -9?
6
Suppose -3 = b, -4*c + 2*c - b + 3 = 0. Suppose m - 152 = -c*m. What is the remainder when m is divided by 0*(-2)/(-6) + 20?
18
What is the remainder when 20 is divided by -4*((-17)/10 + 3/15)?
2
Suppose 0 = -2*l + 4*p + 8, -5 = l + p - 21. What is the remainder when 22 is divided by l?
10
Let k(y) = y**2 - 2*y - 3. Let g be (-5)/2*16/(-10). Suppose 7*o = 5*m + g*o - 22, -2*o = 4*m. Calculate the remainder when k(-2) is divided by m.
1
Let g(n) = -37*n**3 + 1. Let x be g(-1). Suppose -v - x = -3*v. Let h = 12 - 5. Calculate the remainder when v is divided by h.
5
Suppose -4*t + 35 = -1. What is the remainder when (2/4)/((-1)/(-68)) is divided by t?
7
Let q = 126 + -79. What is the remainder when q is divided by 25?
22
Suppose -v + 347 = 4*s, 0 = 3*v - v + 2. What is the remainder when s is divided by 15?
12
Suppose 0 = 4*z - 2*n - 10, 2*z + 0*z + n + 1 = 0. Let x = 9 - z. What is the remainder when 31 is divided by x?
7
Let p = 6 + -4. Suppose 2*w = 10, -5*s + p*s + 3*w - 9 = 0. What is the remainder when s is divided by 2?
0
Suppose -18*k + 22*k - 44 = 0. Calculate the remainder when 85 is divided by k.
8
Let l(o) = -7*o + 6. Let w(z) = 4*z - 3. Let x(k) = 3*l(k) + 5*w(k). Let s be x(5). Calculate the remainder when 37 is divided by (15 - s) + -3 + 5.
18
Suppose l + r = -2*r + 17, 51 = 3*l + 4*r. Calculate the remainder when 28 is divided by l.
11
Let g = 11 - 8. Suppose -5*u + 0*u = -5, g*w - u - 65 = 0. Calculate the remainder when w is divided by 8 + (0/(-3))/4.
6
Suppose 2*a - 160 = 2*k, a - 4*k + 75 = 2*a. What is the remainder when a is divided by 9?
7
Let r(l) = l**3 - 5*l**2 + 5*l + 9. Calculate the remainder when r(5) is divided by 22.
12
Let a = -70 - -91. Let u = 18 - 7. What is the remainder when a is divided by u?
10
Suppose -2*h = -5*q + 124, 2*q + 69 = 5*q - 3*h. Suppose 0*x + q = 2*x. Suppose 0 = 4*o - x - 3. Calculate the remainder when 7 is divided by o.
3
Let i(c) = -9*c. Let l be i(-6). Suppose r + 2*r - l = -4*q, 0 = 5*r - q - 67. Calculate the remainder when 4/r + (-1392)/(-28) is divided by 17.
16
Let i = -97 - -250. What is the remainder when i is divided by 52?
49
Let f(x) = -x**2 + 6*x + 0 + 5*x - 9. What is the remainder when 43 is divided by f(8)?
13
Suppose 0 = 5*a, -2*n + 2*a + 45 = -75. Suppose -62 = -202*t + 200*t. What is the remainder when n is divided by t?
29
Suppose 0*x = -5*x + 40. What is the remainder when 15 is divided by x?
7
Let v(b) = 3*b - 7. Let i be v(6). Suppose t = -2*h + 5, i*t - 5*h = 6*t + 70. Suppose -3*k + 22 = -38. Calculate the remainder when k is divided by t.
9
Suppose 70 = -y + 3*y. Let l be 2/(-5) + 342/5. Suppose 0*b - 20 = -3*b + 4*r, 0 = 4*b + 5*r - l. What is the remainder when y is divided by b?
11
Suppose 3*c + 105 = 2*m - 2*c, 0 = -4*m - 4*c + 168. Suppose -k + 0*k = -m. Suppose k = 4*a + a. What is the remainder when 16 is divided by a?
7
Suppose x = 2*x - 33. Let v(n) = 7*n + 3. What is the remainder when x is divided by v(2)?
16
Let w = -19 - -26. What is the remainder when 20 is divided by w?
6
Suppose 5*g + 11 = 5*m - 4, m - 11 = -3*g. Suppose 3*d = 15, 4*d - 80 = -3*i - g*i. Suppose -4*w = -w - 138. Calculate the remainder when w is divided by i.
10
Suppose -4*q + 862 = 246. Suppose 5*l - q = 3*f, 0 = -l - 0*l - 3*f + 38. Calculate the remainder when l is divided by 11.
10
Suppose 5*y + 2*q = -3*q + 100, -2*q + 22 = y. What is the remainder when 65 is divided by y?
11
Let u = -17 - -19. Let g = -6 - -8. Calculate the remainder when u is divided by g.
0
Let x = 31 + -27. Let y = x + 5. What is the remainder when y is divided by 5?
4
Let f(d) = -d + 1. Suppose -h = -0*h + 4. Let r be f(h). Suppose -7*u = -2*u - r. What is the remainder when 1 is divided by u?
0
Let x(l) = 2*l**3 - 3*l**2 - l + 2. Let n be x(2). Suppose g + o = -n*o + 22, 4*o = 2*g + 12. Calculate the remainder when (-3)/12*(-4 + -4) is divided by g.
0
Let w(t) = t**2 - 6*t. Calcula