7. Calculate the remainder when 25 is divided by v(d).
4
Suppose -2*y + 5*h + 170 = 3*y, 5*y - 170 = -3*h. Let d(s) = 3*s - 9. Calculate the remainder when y is divided by d(6).
7
Suppose 10*p - 828 = 612. What is the remainder when p is divided by 29?
28
Let r = -16 + 14. Calculate the remainder when r*(-33)/(-4)*-2 is divided by 17.
16
Let q = 1 - -13. Let a(f) be the first derivative of 9*f**3 - f**2 + f - 1. What is the remainder when a(1) is divided by q?
12
Suppose -75 = 5*m + 5*g, -3*g = -m - m - 15. Let r = 21 + m. Calculate the remainder when 24 is divided by r.
6
Let z be (-30)/(-7) - 4/14. Let s = 7 - z. Suppose 5*h - 6 = 4. Calculate the remainder when s is divided by h.
1
Suppose -3*n - 2*n = 0. Suppose t = 6*t + 3*r - 43, -t = -4*r - 27. Calculate the remainder when (-1 + 22)/(1 + n) is divided by t.
10
Suppose 7*t - 2*t - 25 = 0. Suppose d + t*y = 0, -3*y + 0*y - 24 = -d. Suppose -5*b + 47 = -93. What is the remainder when b is divided by d?
13
Let m(u) be the third derivative of -u**4/8 - u**3/2 - 2*u**2. Let o = 1 - 3. What is the remainder when 4 is divided by m(o)?
1
Let f = -6 + 6. Suppose 0*y - 2*y + 10 = f, r = -y + 31. Let n = 21 + -14. Calculate the remainder when r is divided by n.
5
Let u be (2*1)/(8/(-56)). Let l(j) = -j**3 - 14*j**2 - 4*j - 2. What is the remainder when l(u) is divided by 11?
10
Suppose 0 = -3*m - 3*q + 27, 3*q - 2 = 10. Suppose 5*y - z - 79 = -2*z, -y - m*z = -35. What is the remainder when 29 is divided by y?
14
Let d = 15 + -4. Let n = 19 - -12. What is the remainder when n is divided by d?
9
Let b = 9 + -7. Calculate the remainder when 43 is divided by (-1 - -1)/b - -15.
13
Let d = 205 - 99. Let x be -2 + -3 + 0 + 9. Suppose 0 = -x*b - 3*j + d, -2*b + 4*j + 44 = j. What is the remainder when b is divided by 9?
7
Suppose -2*n = -2*q - q + 22, 4*n + 14 = 3*q. Let h(f) = f**3 - 2. Let c be h(0). Let k = c + q. Calculate the remainder when k is divided by 3.
2
Let l = 0 + 5. Suppose 0 = 4*j + j - l*n + 50, -n = -5*j - 34. What is the remainder when 4/10*(19 - j) is divided by 6?
4
Let c(k) = 2*k**3 + 1 + 2*k**3 + 3*k - 6*k**3. Let r = -25 + 68. What is the remainder when r is divided by c(-2)?
10
Suppose -4*k + 3*p = 4*p - 31, 2*p = -10. Suppose k = 3*x - 0*x. Let v(a) = 2*a**2 - 3*a + 3. Calculate the remainder when v(x) is divided by 7.
5
Suppose -219 = 4*k - 7*k. What is the remainder when k is divided by 25?
23
Let m(b) = 49*b. Let v be m(3). Suppose 3*x - v = -42. Calculate the remainder when (x/(-15))/(1/(-3)) is divided by 5.
2
Suppose 340 = 3*v + 2*v. Suppose 0*w - 4*w = -v. What is the remainder when w is divided by 2*-3*(-6)/4?
8
Let o(m) = 1 + 0*m + m - 2*m. Let d = 6 - -5. Calculate the remainder when d is divided by o(-3).
3
Suppose 5*c = -4*v + c + 152, -5*v + 2*c = -218. What is the remainder when v is divided by 11?
9
Let q(v) = -v**3 - 9*v**2 + 7. Let a = -11 - -24. Calculate the remainder when a is divided by q(-9).
6
Let i(u) = u**3 + 6*u**2 + 5*u - 2. Let r be i(-4). Let t = r + -9. What is the remainder when 61 is divided by (-128)/(-6) - t/3?
19
Let x be 140/21 - (-4)/(-6). Suppose -3 = -3*z + x. Suppose 17 = z*a - 10. Calculate the remainder when 35 is divided by a.
8
Suppose -5*w = t - 126, 0*t - 2*t = 5*w - 122. Calculate the remainder when 1/(-3) - 444/(-9) is divided by w.
23
Suppose -5 = -5*g, 5*g = -3*x + 90 + 164. What is the remainder when x is divided by 21?
20
Let i = 1 + -1. Let s(y) = y - 4. Let f be s(i). Let a = f + 11. What is the remainder when a is divided by 4?
3
Suppose -j = 4*o - 62, 5*j - 191 = 4*o + 95. Calculate the remainder when j is divided by 30.
28
Let m be (-1)/((-11)/(-4) - 3). Suppose 0 = 2*i + p + 2*p - 128, 0 = m*i + p - 236. Calculate the remainder when i is divided by 20.
18
Suppose -20 = 5*v + 2*i, -3*v = -i - 2 + 3. What is the remainder when -1*1/v*38 is divided by 11?
8
Suppose -4*l + 169 + 75 = 0. Calculate the remainder when 182 is divided by l.
60
Let y(h) = -18*h**3 + 3*h**2 - h - 2. What is the remainder when 79 is divided by y(-1)?
19
What is the remainder when -1*9*(-17)/51 is divided by (-4)/(-10) - 3/(-5)?
0
Let j be -4*4/8 + 6. Suppose 4*c - 44 - 16 = s, j*s = -16. What is the remainder when 41/1 + 0/1 is divided by c?
13
Let h(s) = -s**3 - s**2 - 3*s + 4. Let p = 4 + -7. Calculate the remainder when h(p) is divided by 11.
9
Let w(m) = -m**2 + 14*m + 4. Let y be w(11). Suppose 5 = -4*u + y. What is the remainder when u is divided by 2?
0
Suppose -3*t = -1 - 77. What is the remainder when t is divided by 7?
5
Let m(r) = r**3 + 6*r**2 - 3*r + 9. What is the remainder when m(-4) is divided by 14?
11
Suppose 25 - 6 = z. What is the remainder when 94 is divided by z?
18
What is the remainder when (3 - 52)*(0 - 1) is divided by 17?
15
Let s(i) = 2*i - 17. Let p be s(12). Let w(u) = 9*u - 9. What is the remainder when w(p) is divided by 14?
12
Calculate the remainder when 1386/14 + 2*-2 is divided by 27.
14
Let f(m) = -m + 10. Let g(t) = 28 - 3*t**2 + 4*t**2 - 2*t**2. Calculate the remainder when g(0) is divided by f(-5).
13
Let d = -110 - -212. Let q = 33 - 7. Calculate the remainder when d is divided by q.
24
Let w(s) = s**3 - s**2 - 9*s + 29. What is the remainder when w(5) is divided by 30?
24
Suppose 3*g + 2 = 8. Calculate the remainder when 10 is divided by g.
0
Suppose -3*j + 2 = 2*j + 4*f, -j + 2*f = -6. Suppose 3*k - 23 = -5*v - 4, 0 = 4*v + j*k - 16. What is the remainder when v is divided by (-1 - 0)/(2/(-6))?
2
Let c = 60 - -23. Let x(o) = -2*o**3 - 3*o**2 + 2*o. What is the remainder when c is divided by x(-3)?
20
Let t(z) = z - 1. Let m(b) = 13*b - 2. Let k(w) = -m(w) + 3*t(w). Suppose 5*c + 6*s = 4*s + 92, -12 = 3*s. What is the remainder when k(-4) is divided by c?
19
Let i = -22 + 10. What is the remainder when 23 is divided by (i/10)/(3/(-20))?
7
Calculate the remainder when 46 + 10/(2 - -3) is divided by 25.
23
Let r be (1*(1 + 0))/(-1). Calculate the remainder when 8 + r + 2 + 1 is divided by 3.
1
Calculate the remainder when 22 is divided by 24/20*50/15.
2
Let s = 132 - 79. What is the remainder when s is divided by 11?
9
Let i(p) = p**2 + 3*p - 38. Calculate the remainder when 63 is divided by i(-9).
15
Suppose -4*a - 3*o + 69 = 0, -2*a + o + 40 = -7. Calculate the remainder when 60 is divided by a.
18
Suppose c + 2*c = 42. Let r(l) = -l + 30. Let d be r(0). Suppose -u = 3*m - 2*m - d, 2*m = 2*u + 48. Calculate the remainder when m is divided by c.
13
Suppose -2*v = -6*v + 36. What is the remainder when 25 is divided by v?
7
Let w(q) = 6*q - 5. Let k = 4 - 0. Suppose -s + 9 = 2*h - 8, 2*h - k = 0. What is the remainder when w(7) is divided by s?
11
Let q(y) = 2*y**2 - 2*y + 1. Let b be q(-3). Suppose 0*r + 81 = 3*x + 3*r, -x + b = 2*r. What is the remainder when x is divided by 15?
14
Let x(w) = 2*w**3 - 9*w**2 + 6*w - 23. Let b(a) = -a**3 - 6*a**2 - 5*a + 1. Calculate the remainder when x(6) is divided by b(-6).
28
Suppose -2*o - x = 3*x - 146, -5*x = 2*o - 149. Calculate the remainder when o is divided by 15.
7
Suppose 3*m + 0*j - 3*j = 549, 3*j + 728 = 4*m. Calculate the remainder when m is divided by 46.
41
Let t(z) = -z - 3. Let v be t(-4). Calculate the remainder when 14 is divided by -1*(v - (1 + 5)).
4
Suppose -3*t = u - 6, -2*u + 0*t = -2*t - 12. Let r = -3 + 7. What is the remainder when u is divided by r?
2
Let n = 26 - -15. Let m be (-2)/8 - 620/16. Calculate the remainder when n is divided by (-806)/m + 1/3.
20
Suppose 5*s + 305 = 10*s. Calculate the remainder when s is divided by 8.
5
Calculate the remainder when 0 + (9 + -8)*(-1 - -32) is divided by 8.
7
Let l = 3 + 19. Let r = -6 + 12. What is the remainder when l is divided by r?
4
Let l = 28 - 20. Calculate the remainder when 121 is divided by (-4)/(-8) + 244/l.
28
Let j be (-3)/(3 + -2) - -143. Suppose 4*o + 0*o = j. Calculate the remainder when o is divided by 12.
11
Let u = -22 + 35. Calculate the remainder when 36 is divided by u.
10
Let y(k) = -k**2 - 9*k - 11. Let z be y(-8). What is the remainder when z/1 - (-43 + -1) is divided by 11?
8
Let c = 5 + 0. Suppose 4*i + 3 = -0*u + c*u, -i = 3*u + 5. What is the remainder when 14 is divided by (-3 - 2)*(u - 0)?
4
Let g be (-7 + 6)*2*-2. Suppose n + 3*u = -g*n + 70, 5*u = -3*n + 58. Calcula