te the remainder when 65 is divided by l.
31
Let q = 118 + -75. What is the remainder when q is divided by 15?
13
Suppose 0 = -t + 2*y + 1122 - 202, -5*y = -5*t + 4575. What is the remainder when 6/8 - t/(-56) is divided by 10?
7
Let v(j) be the first derivative of 15*j**2/2 + j - 2. Suppose 4*z - z - 27 = 0. What is the remainder when v(1) is divided by z?
7
Let r(t) = -t**3 + 23. Let i = 54 + 0. Suppose -5*y + i = 14. What is the remainder when r(0) is divided by y?
7
Let i(c) = c**2 + 7*c + 9. Calculate the remainder when 67 is divided by i(-8).
16
What is the remainder when (1/((-5)/48))/(18/(-240)) is divided by 33?
29
Suppose -4*v - 4*i + 22 = -v, v = -5*i + 11. Calculate the remainder when (15/(-4))/(9/(-24)) is divided by v.
4
Suppose 7 - 16 = -i. Let w = -39 - -65. What is the remainder when w is divided by i?
8
Let o(u) = -2*u - 4. Let s be o(-5). Suppose 45 = s*j - 57. Calculate the remainder when 63 is divided by j.
12
Suppose 0 = -a - p - 15 + 3, -3*a + 2*p = 41. Let n = 26 + a. Calculate the remainder when n is divided by 7.
6
Suppose -l = -2*l - 4. Let c = 6 + l. Calculate the remainder when 5 is divided by c.
1
Suppose 4*s - 16 = -4*d, -2*d = 4*s - 2 - 8. Calculate the remainder when 34 is divided by 36/(-30)*(-16 + s).
16
Let x(w) = -w**3 + 3*w**2 + w + 1. Calculate the remainder when x(-2) is divided by 11.
8
Let y = 26 + -4. Calculate the remainder when 83 is divided by y.
17
Suppose -2*o - 146 = -5*k - 0*k, -2*k = -2*o - 62. Calculate the remainder when 49 is divided by k.
21
Suppose -3*v + 4 = -7*v. Let p(i) = -i**3 + 7*i**2 + 3*i - 19. What is the remainder when p(6) is divided by (-1)/v + (2 - -6)?
8
Suppose -5*c = s - 9, 2*s + 0 = c + 7. Let p = 7 - s. Let k(g) = -g**3 + 12*g**2 - 9*g - 14. What is the remainder when k(11) is divided by p?
2
Let x(s) be the second derivative of -s**5/20 + s**4/4 + 2*s**3/3 + s**2/2 - s. Let h be x(5). Let d = h - -52. What is the remainder when d is divided by 12?
11
Let j(q) = -q**2 + 6*q + 5. Let z be j(6). Suppose -z*u - 17 = 8, -u + 59 = 4*s. What is the remainder when 62 is divided by s?
14
Let y = -10 + 33. Calculate the remainder when y is divided by 12.
11
Calculate the remainder when -3*3/(-6)*17*2 is divided by 4/(-6) - 41/(-3).
12
Let d = 12 - 1. Calculate the remainder when 21 is divided by d.
10
Suppose -2*n + 7 + 3 = 0. Suppose 0 = -3*x - 12, -6*x + x = n*r - 20. Suppose -r = -2*h - 4*i + 12, 2*i = 4*h. Calculate the remainder when h is divided by 2.
0
Suppose -4*j + 9 = -7. Suppose 2*w + h = 40, -65 = -j*w + w - 4*h. Calculate the remainder when w is divided by 5.
4
Suppose 5*v + 20 = 9*v. Let k = -7 - -20. Calculate the remainder when k is divided by v.
3
Let c(z) = 2*z. Let u be c(6). Calculate the remainder when 16 is divided by (1/(-1))/((-2)/u).
4
Let c(y) = -y**3 + y**2 - 2*y + 2. Let h be c(0). Suppose -110 = -h*m - 32. What is the remainder when m is divided by 10?
9
Suppose -u + 3 = -4*b + 4, 80 = -5*u + 5*b. Let o be (12/u)/(2/(-7)). What is the remainder when (-1)/(-2) - (-31)/o is divided by 6?
4
Calculate the remainder when 2/(-8) + (-212)/(-16) is divided by 4.
1
Suppose -u - 35 = -5*b, 8 = 3*b - 5*b - 4*u. What is the remainder when 17 is divided by b?
5
Let y = 2 + 37. Suppose -3*i + y + 9 = 0. Let k = -1 + 7. What is the remainder when i is divided by k?
4
Suppose 20*b - 24*b + 76 = 0. Calculate the remainder when b is divided by 7.
5
Suppose 3*v = 4*s - 533, -2*s - 67 + 361 = 4*v. Calculate the remainder when s is divided by 35.
32
Let c(p) = p**3 - 6*p**2 - 7*p + 2. Let l be c(7). Suppose -l*b + 0*b + 6 = 0. Calculate the remainder when 11 is divided by b.
2
Suppose 5*m - 10*m + 4*p = -20, 5*p - 16 = -4*m. Calculate the remainder when 18 is divided by m.
2
Let h(p) = p**2 + 2*p + 9. Calculate the remainder when h(-4) is divided by 10.
7
Let w(z) = 15*z**2 + 2*z + 1. Let n be w(-1). Suppose -n = -4*m + 2*m. Calculate the remainder when m is divided by 4.
3
Suppose 7 = d + 2, k - 3*d = -14. Let l = -3 - 3. Calculate the remainder when 4/(-5)*15/l is divided by k.
0
Let s(a) = 0 - 1 + 6*a + 9*a. Calculate the remainder when s(2) is divided by 16.
13
Let s be (-1)/((8/(-6))/(-4)). Let a(g) = 2*g**2 + 4*g. What is the remainder when a(s) is divided by (-2)/7 + 60/14?
2
Suppose 75 = -5*y - 50. Let x = -8 - y. What is the remainder when x is divided by 9?
8
Let j = -24 - -45. What is the remainder when 80 is divided by j?
17
What is the remainder when ((-270)/35)/((-5)/(140/6)) is divided by 8?
4
Suppose -3*q + 2*a = -113, 0 = 2*q + 5*a + 45 - 152. What is the remainder when q is divided by 14?
13
Suppose -2*v - 3*n = -23, -4*v + 4*n - 26 + 122 = 0. Calculate the remainder when 74 is divided by v.
17
Let v(g) = -g**3 - g**2 + g + 222. What is the remainder when v(0) is divided by 16?
14
Let t = 5 + -3. Suppose -q = -5*n - 41, 2*q - t*n - 12 = 30. What is the remainder when q is divided by 9?
7
Let a(x) = 5*x + 2. Suppose -k + 2*o = -7 - 5, -2*o - 10 = 0. Calculate the remainder when ((-1)/2)/(1/(-70)) is divided by a(k).
11
Suppose 3*k + 2*w - 61 = 0, w - 44 = -2*k + 3*w. Calculate the remainder when k is divided by 8.
5
What is the remainder when 12 is divided by 12/(-10)*(-140)/21?
4
What is the remainder when 67 is divided by (5 - -1)*12/6?
7
Suppose 4*b + b - 3*q = 22, 3*b - 4*q = 22. Let g(h) = h**3 + 5*h**2 - 5*h + 8. Calculate the remainder when g(-6) is divided by b.
0
Suppose 0 = -0*z - 3*z + 12. Suppose 2*k = z*k - 8. What is the remainder when 2 is divided by 1/k + (-14)/(-8)?
0
Suppose 0 = b - 2*s - 240, -2*s + 4*s = -4*b + 1010. Suppose -5*h + 0*h = -4*i + 259, 4*i - 2*h - b = 0. What is the remainder when i is divided by 16?
13
Let z(y) = -82*y**3 - y**2. Calculate the remainder when z(-1) is divided by 21.
18
Let d(p) = 3*p. Let a = -3 + 2. Let l be d(a). What is the remainder when 11 is divided by (0 - l - 4)*-3?
2
Let v = 201 + -177. Calculate the remainder when 38 is divided by v.
14
Suppose 5*n + 613 = -0*t - 3*t, 2*t = 2*n + 258. Let w = n + 187. What is the remainder when w is divided by 16?
14
Suppose 0 = -5*w + 8 + 47. Let q(z) = -z**3 - 13*z**2 - 11*z + 16. Calculate the remainder when w is divided by q(-12).
3
Calculate the remainder when (7050/(-39))/(-5) - (-4)/(-26) is divided by 8.
4
Suppose -4*w + 13 = -0*g + 3*g, -5*w - 3*g = -20. What is the remainder when 11 is divided by w?
4
Let d(a) = 8*a**2 + a - 4. What is the remainder when d(-3) is divided by 17?
14
Calculate the remainder when 5 is divided by (-6)/(-8)*((-32)/(-6))/2.
1
Let n(v) = -v**2 - 12*v - 15. Let s be n(-11). Calculate the remainder when ((-81)/3)/(6/s) is divided by 5.
3
Suppose 16 - 4 = 4*y. Suppose 5*l - y*p = 57, 0*p = -4*l + 2*p + 44. Let j = 5 - -12. Calculate the remainder when j is divided by l.
8
Suppose -5*d = -5*c + 55, -6*c + 3*d + 40 = -2*c. Let y = c - 6. What is the remainder when y is divided by 1?
0
Let d = 16 - 5. What is the remainder when d is divided by 8?
3
Suppose q - 167 = -4*w + 4*q, 129 = 3*w - 3*q. Suppose l - 7 = w. What is the remainder when l is divided by 16?
13
Let l(p) = -5*p + 7 + 2*p**2 - p**2 - 2*p**3 + 3*p**3 - 4*p**2. Calculate the remainder when l(5) is divided by (-1 + (-18)/4)*-2.
10
Suppose -4*o - 20 = -3*d + 32, 0 = d - o - 16. Calculate the remainder when d is divided by 7.
5
Let a(r) be the first derivative of -r**4 - 5*r**3/3 - 3*r**2/2 + 2*r - 4. Let s be a(-3). What is the remainder when (-4)/8 + s/4 is divided by 10?
8
Suppose -3*f - 5*s = -25, 2*f - 6 = -4*s + 10. Let v = 6 + f. What is the remainder when 46 is divided by v?
14
Let g(m) = -m**2 + 2*m. Let h be g(2). Suppose h = -4*o + 148 + 28. Let l(y) = y**2 - 3*y - 3. Calculate the remainder when o is divided by l(6).
14
Suppose -2*n + 44 = u + 11, -5*u + 25 = 0. Let a = -145 + 150. Calculate the remainder when n is divided by a.
4
Let v = 39 + 48. What is the remainder when v is divided by 30?
27
Suppose -3*f = -81 - 60. What is the remainder when f is divided by 16?
15
Suppose 4*m = 3*m - 3*f - 7, 0 = 5*m + 3*f - 1. What is the remainder when 31 is divided by m*(-1)/(2/(-11))?
9
Suppose -2*y + 48 = -8. What is the remainder when y is divided by 10?
8
Let t = 55 + -47. What is the remainder when 8 is divided by t?
0
Suppose 5*b - 16 = -0*j + 3*j, 0 = -5*j