nder when p is divided by 7.
6
Let c = 19 + -14. Suppose -95 = -5*r - 4*m, 5*r - 49 = c*m + 91. What is the remainder when 89 is divided by r?
20
Suppose -1 - 7 = -4*x. Suppose p - 3*f = 22, p + x*p - 2*f = 52. Calculate the remainder when 31 is divided by p.
15
Let f(n) = n**2 + 6*n - 4. Let b be f(-6). Calculate the remainder when 30 is divided by b/18 + 202/18.
8
Suppose 0 = 7*z - 308 + 84. Calculate the remainder when z is divided by 18.
14
Let l = -78 + 103. Calculate the remainder when 172 is divided by l.
22
Let v(a) = -a**2 + 2. Let b be v(0). Suppose -1 = -b*l + 43. Calculate the remainder when l is divided by 6.
4
Suppose g = 3*x - 12, 3*x = -g - 3*g + 27. Suppose -x*j + 2 = 4*o - 6, -3*o + 5*j + 41 = 0. What is the remainder when 12 is divided by o?
5
What is the remainder when 71 is divided by 775/85 + 2/(-17)?
8
Let s(h) = -h**3 + 6*h**2 - 6*h + 3. Suppose 18*y - 152 = 10*y. What is the remainder when y is divided by s(4)?
8
Let i(z) = 42*z**2 - z - 1. Let g be i(-1). Let q = -2 + 7. Suppose -f - w + g = 2*f, 0 = q*f - w - 70. Calculate the remainder when f is divided by 8.
6
Suppose 2*n + 4 = -2*x, -2*x = -0*n + 3*n + 1. What is the remainder when 5 is divided by n?
2
Let y = 23 - 3. Let n(z) = -4*z - 1. What is the remainder when y is divided by n(-3)?
9
Suppose 5 = 11*b - 6*b. Let a(m) = 64*m - 1. What is the remainder when a(b) is divided by 16?
15
Let m(u) = -u**2 + 9*u - 3. Let n be -2 + -1*(2 - 10). Calculate the remainder when 44 is divided by m(n).
14
Suppose -2*g = 4*r - 136, -4*g - 85 - 85 = -5*r. What is the remainder when r is divided by ((-12)/(-4) + -5)*-6?
10
Let q be -1 + -1 + 3/(-1). Let y(m) = -m**3 - 3*m**2 + 6*m - 6. What is the remainder when y(q) is divided by 4?
2
Let v be (-19)/4 - (-1)/(-4). What is the remainder when 12 is divided by 8 - v/((-5)/3)?
2
Suppose -4*c + 9 = -2*s - 9, 2*c + s = 15. Calculate the remainder when 9 is divided by c.
3
Let x = 3 - -12. Calculate the remainder when x is divided by 6.
3
Let l be (2 - 2)/(1 - 0). Let h(u) = -u**3 + u**2 + u + 9. What is the remainder when -1 + (-2 - -1) + 18 is divided by h(l)?
7
Let m be 156/15 + 3/5. What is the remainder when 4 is divided by (-155)/(-55) - (-2)/m?
1
Let c(h) = -3*h**3 - 5*h**2 - 3*h + 4. Calculate the remainder when c(-3) is divided by 13.
10
Let u be -1*5*1/(-1). Suppose 5*r - u*n - 35 = 0, 3*n + 1 = r + 2. Suppose 4 = b - 16. What is the remainder when b is divided by r?
9
Suppose -5*r = -0*r - 5*l - 100, 4*l = 5*r - 98. Calculate the remainder when 52 is divided by r.
16
Suppose y + 20 = t, -t + 2 = 7*y - 2*y. Calculate the remainder when t is divided by ((-9)/(-6))/(2/12).
8
Let r = -24 - -3. Let t = r + 43. Let h = 28 - 16. Calculate the remainder when t is divided by h.
10
Let z(p) = p**2 + 7*p + 17. What is the remainder when 33 is divided by z(-7)?
16
Let s = -4 + 5. Let y = s - -2. Suppose -d + y*n = 4*d - 200, 2*d + n = 80. Calculate the remainder when d is divided by 14.
12
Suppose -3*t - 2*t = 0. Suppose -4*j + 9*j - 145 = t. What is the remainder when j is divided by 16?
13
Let n = -9 + 24. What is the remainder when n is divided by 9?
6
Let t = 7 - 5. What is the remainder when t is divided by 1?
0
Let v = 23 - -4. What is the remainder when 106 is divided by v?
25
Suppose 3*d = -2*i + 170, d - 54 = i - 3*i. What is the remainder when d is divided by 15?
13
What is the remainder when 69 is divided by ((-3)/2)/((-245)/120 - -2)?
33
Let x(b) = -15*b**3 + b**2 - b - 1. Let o be 4/(-6)*(-45)/(-10). Let m be -1 + 1/o*0. Calculate the remainder when x(m) is divided by 9.
7
Let d(b) = b**2 + b. Let o be d(-2). Suppose o*m = -2 + 16. Suppose 3*j + 4*w + 3 = m, 17 = -j - 5*w. What is the remainder when 15 is divided by j?
7
Suppose -3*n = 0, 0*j - j + 3*n = -7. What is the remainder when 34 is divided by j?
6
Suppose -i + 40 - 9 = -3*s, 0 = 4*s. Calculate the remainder when i is divided by 8.
7
Suppose n - 308 = -13*n. Calculate the remainder when n is divided by 4.
2
Let w(t) = -t + 8. Let m(g) = 2*g - 7. Let k(p) = 3*m(p) + 2*w(p). What is the remainder when k(6) is divided by 10?
9
Let v(l) = -l**3 - 9*l**2 + 9*l - 6. Let t = 1 + -4. Let n be ((-9)/(-6))/(t/20). What is the remainder when 11 is divided by v(n)?
3
Let b(h) = -h - 1. Let c(y) = 2*y + 4. Let i(n) = 8*b(n) + 3*c(n). What is the remainder when 0 - (12/21 - 600/21) is divided by i(-3)?
8
Let b(o) = -4*o - 1. Let x be b(-1). Suppose 4*m - 3*g + 1 = x*m, -4*g = 2*m - 18. Suppose -m*z + 6 + 24 = 0. What is the remainder when 16 is divided by z?
4
What is the remainder when (1/3)/((-9)/(-2518 - -7)) is divided by 49?
44
Let m(y) = y**3 + 10*y**2 + 8*y - 7. Suppose 2*l - 8 = 22. Calculate the remainder when m(-8) is divided by l.
12
Let k(p) = 7*p - 67. Calculate the remainder when k(13) is divided by 5.
4
Let s(n) = -n**2 - 10*n - 9. Let q = 34 + -5. What is the remainder when q is divided by s(-6)?
14
Suppose 93 + 57 = 3*r. What is the remainder when r is divided by 17?
16
What is the remainder when 54 is divided by 15 - 9/(27/12)?
10
Suppose -5*r + 0*f = 3*f - 6, -2 = r - f. Suppose 4*v = 17 + 11. Suppose 4*i = r, 3*a - 16 + v = -3*i. What is the remainder when 5 is divided by a?
2
Let b(z) = 7*z**2 + z - 1. Suppose -3*c - 2*c = 0. Let j(u) = u**2 + 19. What is the remainder when j(c) is divided by b(1)?
5
Let l(u) = u**3 + 4*u**2 + 2*u - 2. Let i be l(-2). Let y be (3 + -2)/(i/38). Suppose 3*j + 1 = y. Calculate the remainder when 11 is divided by j.
5
Let b be -2*1*(-2 - -3). Let k(y) be the second derivative of y**4/2 - y**2/2 - y. Calculate the remainder when k(b) is divided by 6.
5
Suppose 7*n - 22 = 5*n. What is the remainder when 21 is divided by n?
10
What is the remainder when ((-39)/(-6))/(7/14) is divided by 5?
3
Let g(z) be the first derivative of -7*z**2/2 + 7*z - 1. Calculate the remainder when g(-6) is divided by 13.
10
Suppose -14*u + 19*u = 20. Let b = 14 - 9. Calculate the remainder when b is divided by u.
1
Suppose 11*k - 792 = 2*k. Calculate the remainder when k is divided by 15.
13
Suppose 4*s + u - 471 = 0, -2*s + 0*u = 3*u - 243. What is the remainder when s is divided by 24?
21
Let l = -28 - -66. Let h = -27 + l. What is the remainder when h is divided by (-6)/(-4)*(1 - -1)?
2
Let b(h) = -23*h - 8. Let z be b(-6). Suppose -20 = 3*q - 170. Suppose n - 5*y = q, 8*n - y - z = 3*n. Calculate the remainder when n is divided by 13.
12
Let t be 4 - 1*(-2)/(-2). Suppose 64 = n + t*n. Calculate the remainder when n is divided by 1/((-3)/(-15)) - -1.
4
Suppose -3*m = 5*c - 17, 5*m - 4*c + 18 = -3. Suppose -2*j + 20 = 2*s, -j + 8 = 5*s - 58. Calculate the remainder when (1 - 2)/m*27 is divided by s.
13
Let o(d) = -d**3 - 5*d**2 + 9*d + 2. Let c(j) = j + 10. Let w be c(-17). Calculate the remainder when o(w) is divided by 19.
18
Let t(i) = -i**3 - 7*i**2 + 9*i + 12. Let f = -12 + 4. Let q be t(f). Suppose q*s = 6*s - 36. What is the remainder when 34 is divided by s?
16
Let u(h) = -h + 8. Let v be u(7). Let x be 0/(0 + 2 - v). Suppose x*f - 7 = -r - f, 0 = -f. Calculate the remainder when r is divided by 3.
1
Suppose 0 = -27*h + 28*h - 33. Calculate the remainder when h is divided by 5.
3
Let z(u) be the first derivative of u**4/4 - 10*u**3/3 + u**2/2 - u + 5. Calculate the remainder when 26 is divided by z(10).
8
Let n(u) = -u + 7. Let v be n(8). Let o = 7 + v. Calculate the remainder when 21 is divided by o.
3
Suppose 4*h = 7*h - 30. Suppose -k = -5*b + 78, -4 = -k + 4*b - 86. Let o = -70 - k. Calculate the remainder when o is divided by h.
8
Let n(u) = 5*u**2 + u. Let k be n(-1). Let d(w) = 7*w - 8. Suppose -5*p = -2*x - 59, p - 4*x - 19 = -0*p. What is the remainder when d(k) is divided by p?
9
Let t be (6*1)/(6/(-8)). Let g(s) = -3*s + 7. Calculate the remainder when g(t) is divided by 8.
7
Let h = -5 - -7. Let m = -4 - -9. Suppose -h*z + 2 = 0, 0 = -m*u + 3*z + 2*z + 65. What is the remainder when 26 is divided by u?
12
Let j(c) = 16*c**2 - 4*c + 2. Let y = -2 - -4. Calculate the remainder when 2 + (1 - y) + 38 is divided by j(1).
11
Suppose 4*g + 3 = 15. Let z = g - -1. Let d = 3 + z. Calculate the remainder when d is divided by 4.
3
Let i(c) = -c**2 - 16*c - 6. What is the remainder when 65 is divided by i(-13)?
32
Let w(p) = -2*p + 72. Ca