). Suppose -l*v + 39 = -2*v. Calculate the remainder when 25 is divided by v.
12
Let z be 2/(-1 + -1)*-1. Suppose -z = -v + 1. Let r(n) = 5*n**3 - 3*n**2 + 3*n - 3. Calculate the remainder when r(v) is divided by 8.
7
Suppose -12*n - 57 = -15*n. Let s(x) = -x**2 - x + 10. Calculate the remainder when n is divided by s(0).
9
Suppose 3*y - 3*c = 6*y - 42, c + 28 = 2*y. What is the remainder when 166 is divided by y?
12
What is the remainder when (-2 + 33/(-9))*-9 is divided by 26?
25
Let n = -1 - 8. Let s be (n/3 - -3)/(-2). Suppose -3*r + 0*r + 4*q + 61 = s, 3*r - 55 = -2*q. Calculate the remainder when r is divided by 5.
4
Suppose -3*b + 11*b = 1488. Calculate the remainder when b is divided by 7.
4
Suppose -v = -4 - 8. Calculate the remainder when 18 is divided by (10/(-3))/((-4)/v).
8
Suppose 5*d = 5*p - 65, -3*p - d = 2*p - 35. Calculate the remainder when 46 is divided by p.
6
Let n(j) = -j**3 + 5*j**2 - 3*j - 4. Let g be n(4). Suppose g = q - 0*q - 12. Let r(o) = -23*o. What is the remainder when r(-1) is divided by q?
11
Calculate the remainder when 414/4 + (-9)/(-18) is divided by 27.
23
Let m be -2 + (-1)/(3/(-6)). Let n be (-1 - -122) + (-1 - m). Let h = -55 + n. What is the remainder when h is divided by 22?
21
Suppose -12*w + 56 = -8*w. Suppose 10*h = w*h - 64. Suppose 5*x + 2*q + q = 290, x + 3*q - 46 = 0. What is the remainder when x is divided by h?
13
Suppose 5*o - 2*o = -27. Calculate the remainder when (30/o)/((-6)/27) is divided by 6.
3
Suppose 3*u = 3, 5*i + 0*u - 23 = -3*u. Suppose -13 = i*y - 53. Calculate the remainder when 19 is divided by y.
9
Let z = -49 + 56. Calculate the remainder when 32 is divided by z.
4
Let y(n) = -n**2 - 12*n - 6. Suppose -3*k - k - 48 = 0. Let c = k - -22. What is the remainder when y(-7) is divided by c?
9
Let w(n) = n**2 - 9*n + 8. Let z(p) = p**2 + 10*p + 11. Suppose 0 = 4*x + 44 - 0. What is the remainder when z(x) is divided by w(9)?
6
Let f(d) = d**3 - 6*d**2 + 8. Let j(s) = 2*s + 1. Let l(z) = 6*z + 3. Let k(r) = -17*j(r) + 6*l(r). What is the remainder when f(6) is divided by k(2)?
3
Let d(t) = 3*t + 7. Let i be d(-5). Let c(f) = -2*f - 9. What is the remainder when 1/((-36)/38 - -1) is divided by c(i)?
5
Let n = 56 + -39. Calculate the remainder when 48 is divided by n.
14
Suppose 0 = 2*x - 8, -2*j + 4*x - 8 + 30 = 0. What is the remainder when j is divided by 7?
5
Suppose 0 = -2*m - m - 15, -2*b - 5*m - 11 = 0. Let n = 23 - b. What is the remainder when 31 is divided by n?
15
Suppose 5*l - 121 + 36 = 0. What is the remainder when 30 - (-2 + -5 + 4) is divided by l?
16
Let i = -18 - -26. What is the remainder when 20 is divided by i?
4
Suppose 2*y - 71 = -j, y + 7*j = 2*j + 31. Calculate the remainder when 71 is divided by y.
35
Let x = 8 - 3. Let m(n) = -n**3 - 14*n**2 - n + 5. What is the remainder when m(-14) is divided by x?
4
Let l be (-1)/4 - 53/(-4). Suppose -2*w - 4*n = -16, -6*w = -w + n - l. Suppose w*h - 4 = 6*h, r - 10 = -3*h. Calculate the remainder when 38 is divided by r.
12
Let t = 11 + -7. Suppose 10 = -2*d + t*d. Suppose -3*r = -x + r + 7, -d*x + 119 = r. What is the remainder when x is divided by 6?
5
What is the remainder when 4 + (0 + 38 - -3) is divided by 16?
13
Let o(y) = -2*y**2 - y + 2. Let t be o(-2). Let r = 1 + t. Let k = 0 - r. Calculate the remainder when 8 is divided by k.
2
Suppose -5*h - 11 = -4*a + 13, 3 = -5*a - 2*h. Suppose 5*s - a = 4*s. What is the remainder when s is divided by 1?
0
Suppose -14*d + 19*d = 95. Calculate the remainder when d is divided by 10.
9
Suppose 5*k + 165 = 5*w, 2*k + 50 = 2*w + 4*k. Suppose 4*g + 3*i = 21, i + 9 = -3*g + 7*g. Suppose 10 = g*r - 2*r. What is the remainder when w is divided by r?
9
Suppose -48 = -5*l + l. Calculate the remainder when 20 is divided by l.
8
Suppose n = -2*i - 3*n - 8, 5*i = -5*n. Suppose -2*v = -7*v. Suppose -i*j - 20 = v, 0*r + 47 = r - 3*j. Calculate the remainder when r is divided by 11.
10
Suppose -4 - 6 = 5*b, 5*h - 4*b = 8. Suppose 4*t = -h*t + 184. What is the remainder when t is divided by 16?
14
Suppose 0 = 5*x - 23 - 27. Calculate the remainder when (-1518)/(-30) + (-6)/x is divided by 13.
11
Suppose q = -h + 2, 3*q = -3*h + 6*q + 12. Suppose h*c = -m + 29, -3*m + 9 = -2*m - 2*c. Calculate the remainder when m is divided by 6.
5
Suppose a + 2*t - 34 = -3*a, 2*a = 2*t + 26. Suppose 3*p - 13 = -o + 3, 144 = 5*o - p. Calculate the remainder when o is divided by a.
8
Suppose 26*t + 78 = 29*t. What is the remainder when t is divided by 2/7 + 61/7?
8
Suppose -3*l + 4*c + 132 = -104, -l = 2*c - 62. Calculate the remainder when l is divided by 25.
22
Let q = 129 + -119. What is the remainder when 17 is divided by q?
7
Suppose -21 = -b - 2*b. Suppose 4*p = b*k - 2*k + 49, 0 = -p + 4*k + 15. Calculate the remainder when 32 is divided by p.
10
Let o(c) be the second derivative of -c**3/3 + c**2/2 - c. Let y be o(1). Let h = y - -7. Calculate the remainder when 17 is divided by h.
5
Suppose -4*z = -5*k - z + 581, 224 = 2*k - 4*z. What is the remainder when k is divided by 30?
28
Calculate the remainder when 1 + 2 + 27 - 0 is divided by -1*(-3)/(-6)*-32.
14
Suppose -6*u = -9*u + 105. What is the remainder when u is divided by (-2)/4*(-23 - 1)?
11
Let o(x) = x - 3. Let c be o(8). Suppose c*q - 31 = -3*z, q + 0*z = -z + 5. What is the remainder when 15 is divided by q?
7
Let o be (0/2)/(1 - -1). Suppose -m + 10 = -o. Calculate the remainder when 19 is divided by m.
9
Calculate the remainder when 22 is divided by ((-12)/(-2))/(9/12).
6
Suppose -3*s + 64 = -11. Calculate the remainder when (-92)/(-2) + 3 - 0 is divided by s.
24
Let x(u) = u**3 + 7*u**2 + 4*u - 8. What is the remainder when 22 is divided by x(-6)?
2
Let c(y) = 3*y**2 - 2*y + 8. What is the remainder when c(5) is divided by 19?
16
Let n(m) = m + 18. Calculate the remainder when ((-2)/2)/((-1)/13) is divided by n(-11).
6
Let s be -2*(-3)/12*0. Suppose 2*f - 49 + 17 = s. Calculate the remainder when 30 is divided by f.
14
Suppose 0 = 2*t - t + 5*s + 25, 0 = t - 5*s - 25. Let c = t - -5. Suppose 1 + c = j. What is the remainder when 16 is divided by j?
4
Let r be ((-2)/(-3))/((-6)/(-171)). Suppose 0 = p - 4*n - r, 3*p + 3*n - 12 = -0*n. Calculate the remainder when -1 + 15 + (-1 - 0) is divided by p.
6
Suppose 0 = -29*w + 31*w - 190. Calculate the remainder when w is divided by 25.
20
Let u(q) = -5*q - 37. Calculate the remainder when 141 is divided by u(-10).
11
Let i(m) = -m**3 + 13*m**2 - 3*m + 3. What is the remainder when i(10) is divided by 46?
43
Let y(x) = -x + 10. Calculate the remainder when y(5) is divided by 4.
1
Let g be 13 + (-2)/(1 + 0). Let p = g - 6. Suppose 4*h + p*j = 56, 2*h - 48 = -4*j - 14. Calculate the remainder when h is divided by 5.
4
Suppose -4*d - 36 = 4*w, 9 = 5*w - 2*w. Calculate the remainder when (-416)/d + 1/3 is divided by 9.
8
Let i = -11 - -16. Let x = 2 + 5. Let y(s) = 2*s. What is the remainder when y(x) is divided by i?
4
Let i(z) = -2*z**3 + 2*z**2 + 2*z - 1. Let l = -35 + 40. Calculate the remainder when i(-2) is divided by l.
4
Suppose 0*k - 5*k = -35. Calculate the remainder when ((-1)/(-4))/((-3)/(-228))*1 is divided by k.
5
Let v(h) = -h + 1. Let o be v(9). What is the remainder when 9 is divided by 2*-2*6/o?
0
Let q be (-1)/(-1 + 3 + -3). Suppose 0 = -5*z + 4*p + 71, z + 0*p = -p + 16. Calculate the remainder when 2 - q/1*-26 is divided by z.
13
Suppose -2*w + 0*p + p = -39, 0 = -3*w + 5*p + 76. Suppose -5*a + a + 192 = 0. Calculate the remainder when a is divided by w.
14
What is the remainder when -3*(35/(-3) + 1) is divided by (1/(-2))/((-7)/154)?
10
Suppose -2*n + 0*n = -26. Suppose 5*f - 4*y - 29 = 0, 0 = -f + 4*y + 3 - 10. Let p = n - f. What is the remainder when p is divided by 2?
0
Let b = 0 + 8. What is the remainder when 29 is divided by b?
5
Suppose 143 = 4*u - z, 2*u - 3*z - 30 = 49. What is the remainder when u is divided by 18?
17
Suppose 0*q = 5*q - 80. Suppose -q = 4*u + 8. Let c = 12 + u. Calculate the remainder when 16 is divided by c.
4
Let b(s) = s**2 - 6*s - 10. Let n be (-1 + 0/2)*9. Calculate the remainder when n/6*(-40)/6 is divided by b(8).
4
Let b(y) = 4*y**2 - y - 1. Let a(h) = -5*h - 12. Calculate the remainder when a(-9) is divided by b(-2).
16
Suppose -6*g 