7*f**3 + f**2 - 2*f + 1. What is the remainder when p(1) is divided by 10?
7
Let j be (-1 + -1)*(-2)/2. Suppose -j*t - 3*f = 0, 2*t + 0*f - 2 = -2*f. Suppose t*x - 48 = -x. Calculate the remainder when 34 is divided by x.
10
Let o(s) = s + 13. Calculate the remainder when 141 is divided by o(5).
15
Let j(h) = -h**2 - 12*h - 27. What is the remainder when 7 is divided by j(-8)?
2
Let y(n) = -n**3 + 3*n**2 - n - 2. Suppose -5 = 2*s - 6*j + j, 2*s - 19 = -3*j. Let u be y(s). Let x = -22 - u. Calculate the remainder when x is divided by 12.
11
Let g(y) = 3*y - 4. Let f(o) = o**2 - 7*o + 4. Let a be f(7). What is the remainder when 29 is divided by g(a)?
5
Suppose 3*b + 5*n - 83 = 0, 3*n = 8*b - 3*b - 127. Calculate the remainder when 49 is divided by b.
23
Suppose 0 = 2*x - 3*x + 14. Suppose 5*o - 9 = 6. What is the remainder when x is divided by o?
2
Let n(x) = 2*x**2 + 2*x. Let h = 243 - 135. Suppose 0 = 5*p + v - 112, 3*p - v = -2*p + h. Calculate the remainder when p is divided by n(2).
10
Let k be (-6)/36 + (-38)/(-12). Suppose 4*c - 334 = -t - 0*t, -c - k*t = -89. What is the remainder when c is divided by 17?
15
Let v(n) be the third derivative of -n**5/60 + 5*n**4/24 - n**3/6 - 2*n**2. What is the remainder when v(4) is divided by -3 + 0 - (-20)/4?
1
Suppose -b = -0*b - 20. Let p(v) = v**3 + 2*v**2 - 7*v - 1. Calculate the remainder when b is divided by p(-3).
9
Suppose 0 = -m + 2. Let u = m + 3. Calculate the remainder when u is divided by 2.
1
Let k = -15 - -20. Suppose 0 = 4*a - 8*a + 52. What is the remainder when a is divided by k?
3
Suppose -5*z = -29 - 126. Calculate the remainder when 58 is divided by z.
27
Let q = -120 - -168. What is the remainder when q is divided by 7?
6
Suppose d + 4 = 0, p + 4*d + 0 = -3. Calculate the remainder when 30 is divided by p.
4
Suppose 52 + 28 = 8*b. Calculate the remainder when b is divided by 6.
4
Suppose 0 = 4*k + 1017 + 1159. Calculate the remainder when k/(-24) - (-4)/(-6) is divided by 8.
6
Let s(t) = -t**2 - 7*t + 5. What is the remainder when 14 + -1 + (-6 - -2) is divided by s(-7)?
4
Let q(m) = -2*m - 18. Let n be q(0). Suppose 0 = -d - 2*v - 1, -2*v = -5*d - 0*v + 19. What is the remainder when 34 is divided by (1 - d/2)*n?
7
Suppose -g - 105 = -2*m + 2*g, g = -m + 40. Suppose 5*h + 51 = 3*q, 0*q + 4*q = h + 51. What is the remainder when m is divided by q?
9
Suppose 13 = w - 2*w. Let q = 0 - w. Calculate the remainder when q is divided by 5.
3
Let v be (-12)/30 + (-48)/5. Calculate the remainder when ((-48)/20)/(4/v) is divided by 2.
0
Suppose -2*y - 2 = -2*r, 0 = -2*r + r - y + 7. Suppose 5*l - 35 = 2*u - u, -4*l + 12 = -r*u. Calculate the remainder when 23 is divided by l.
7
Let z(p) = -4*p**3 - 12*p**2 + 2*p - 10. Let s(v) = -3*v**3 - 13*v**2 + v - 9. Let c(m) = 3*s(m) - 2*z(m). What is the remainder when c(-15) is divided by 3?
2
Suppose 3*p = -0*p + 15. Suppose x - 19 = -3*r - 0*x, r = -x + p. Calculate the remainder when 25 is divided by r.
4
Let c(j) = -4*j + 37. What is the remainder when c(0) is divided by 9?
1
Suppose -5*w = -5*x - 70 - 5, 0 = -2*x + w - 34. Let o = 0 - x. What is the remainder when o is divided by 11?
8
Let q(d) = -3*d. Let y be q(-1). Let z = 3 + y. Calculate the remainder when 15 is divided by z.
3
Let g = 83 + -46. Let n = 199 - 99. Suppose 5*z = -j + 98, 3*j - 33 = 4*z - n. Calculate the remainder when g is divided by z.
18
What is the remainder when (-5)/5 - 66*(0 - 1) is divided by 6?
5
Let c(i) = -3 + 7*i - 4*i - i. Let r be c(4). Suppose -2*n - 4*f + 7 = n, -29 = -r*n + 2*f. What is the remainder when n is divided by 2?
1
Suppose -4*l - 4 = 2*g + 6, -3*l - 24 = -4*g. What is the remainder when 18 is divided by (9/(-6))/(g/(-14))?
4
Suppose 3*i - 3*j = -8*j + 11, 11 = i - 2*j. Suppose -a - 40 = -3*a. What is the remainder when a is divided by i?
6
Suppose -4*k + 91 + 45 = 0. Calculate the remainder when 99 is divided by k.
31
Let l(t) = t**2 + 7*t + 7. Let d(i) = -7*i**2 + i + 1. Let f be d(-1). Let r(b) = -3*b - 6. What is the remainder when r(-6) is divided by l(f)?
5
Suppose 96 = 5*k - 4*c - 0*c, -k = -c - 19. Calculate the remainder when 39 is divided by k.
19
Suppose 0*s + 3*s = 60. Let g(i) = 0 - 4*i**2 - 4*i + 3 + i**3 + 3. Calculate the remainder when s is divided by g(5).
9
Let f be 0 - 1/(1/(-4)). Let j(v) = v**3 - 3*v**2 - 2*v + 2. Let k be j(f). Calculate the remainder when 17 is divided by (0 + k + -1)*1.
8
Suppose 3*i + 154 = 4*z - 23, 0 = z - 5*i - 40. What is the remainder when z is divided by 8?
5
Suppose 116 = 4*q + 3*n, -34 = -5*q - 2*n + 104. What is the remainder when 51 is divided by q?
25
Let y(j) = -j**3 + j - 12. Let d be y(0). Let g = d - -34. What is the remainder when g is divided by (1 - 1) + (7 - -1)?
6
Calculate the remainder when (-302)/(-18) + (-4)/(-18) is divided by 6.
5
Let l = -8 + 11. Suppose 2 = u - l. Suppose u*o - 23 - 22 = 0. What is the remainder when 25 is divided by o?
7
Let k(z) = -z - 6. Let v(u) = -8*u**2 + u - 1. Let d be v(1). Calculate the remainder when k(d) is divided by 1.
0
Suppose -3*l + 2*q + 788 = 192, 4*l - 793 = 3*q. What is the remainder when l is divided by 34?
32
Let d(k) = k**2 - 5*k + 16. Calculate the remainder when 78 is divided by d(8).
38
What is the remainder when 90 is divided by (284/(-6) + 1/3)*-1?
43
Suppose w - 35 = -5*t, -t + 5*w + 28 = 3*t. Suppose 0 = 16*m - 21*m + 90. Calculate the remainder when m is divided by t.
4
Let a(h) = -2*h**3 - 3*h**2 + h - 4. What is the remainder when a(-3) is divided by 6?
2
What is the remainder when 14 - 1/(3/6) is divided by 1*(-14)/(0 + -2)?
5
Suppose -86 = -n - 4. Let z(x) = 30*x**2 + x - 3. What is the remainder when n is divided by z(1)?
26
Let u(i) = -i**3 - 2*i**2 - 5*i - 1. Suppose -4*o + 65 = o. What is the remainder when u(-4) is divided by o?
12
Suppose -119 = -4*d - g, -5*g - 139 + 21 = -3*d. Calculate the remainder when d is divided by 16.
15
Suppose -2 = -3*j + 1. Let y be (0*j/(-3))/2. Suppose -3*w + y*w = -21. Calculate the remainder when 12 is divided by w.
5
Suppose -3*v + 23 = -1. Suppose b - 4*s = -v, 2*b + 2*s = -2*s + 32. What is the remainder when 15 is divided by b?
7
Suppose -a = -2*w - 11, -4*a + w + 44 = -w. What is the remainder when a is divided by 4?
3
Let n(p) = 5*p**2 + 4*p - 6. Calculate the remainder when 62 is divided by n(2).
18
What is the remainder when (-3 - 7/(-2))*8 is divided by 1?
0
Let z = -23 + 41. Suppose -18 + 3 = -5*v + 3*b, -3*v + 8 = -2*b. Suppose v*k = 8*k - 106. What is the remainder when k is divided by z?
17
Let y(k) = -3*k**2 + 10*k - 14. Let c(b) = -b**2 + 3*b - 5. Let g(m) = 11*c(m) - 4*y(m). Calculate the remainder when 35 is divided by g(9).
16
Suppose 5*s + 2*u = 6*u + 31, 0 = 3*s + u - 5. Suppose s*y = 4*y - 11. Let f(t) = t**3 - 5*t**2 - 4*t - 8. What is the remainder when y is divided by f(6)?
3
Let l(o) = o**3 - 9*o**2 + 2. Let r be l(9). Calculate the remainder when 57 is divided by (30/(-12))/(r/(-12)).
12
Let b = 84 + -75. What is the remainder when 14 is divided by b?
5
Let j(h) = h + 24. What is the remainder when 25 is divided by j(-11)?
12
Let l(t) = -t**2 + 7*t - 4. Let k be l(6). Suppose -4 = -3*y + k. What is the remainder when 5 is divided by y?
1
What is the remainder when 166/5 - 6/30 is divided by 17?
16
Let m(t) = 17*t - 2. What is the remainder when m(2) is divided by (1/(-1))/(6/(-66))?
10
Let m = -3 + 1. Let l be (2 + 4/m)/(-2). Suppose l = 7*t - 3*t - 76. Calculate the remainder when t is divided by 10.
9
Let y(r) = 11*r + 8. Let o be y(-4). Calculate the remainder when 40 is divided by ((-24)/o)/(2/33).
7
Suppose 3*a - k = 2*k + 15, -3*a - 2*k + 15 = 0. Calculate the remainder when 19 is divided by a.
4
Suppose 5*r - 16 = 4*r. Calculate the remainder when 62 is divided by r.
14
Suppose 6*a - 42 = 2*a + 2*d, 0 = -2*a - 5*d + 3. Calculate the remainder when 15 is divided by a.
6
Suppose 6*h = 5*h. Suppose h = -i - 4*i - x + 19, 2*i + 3*x = 5. Calculate the remainder when 15 is divided by i.
3
Let k be 0 - (-5 - (-3 + 0)). Calculate the remainder when 21 is divided by k/(-4) + 46/4.
10
Let g(u) = u**3 - 4*u**2 - 5*u + 2. Let j be g(5). Suppose -j*t = 3*t. Suppose i + 1 - 12 = t. Calculate the remainder when 20 is divided by i.
9
Let i = 31 + 31. Calculate the 