y 1 + o + 1*4.
5
Suppose -32 = i - 5*i. Let n = -330 + 345. What is the remainder when n is divided by i?
7
Suppose -5*c + 1 = 4*x, 1 + 1 = 2*x + 2*c. Suppose -x*r = -30 - 14. Let o(d) = 30*d**2 + 1. Calculate the remainder when o(-1) is divided by r.
9
Let t(m) = -m + 8. Let j be 1/(3 + (-16)/5). What is the remainder when t(5) is divided by j/25 - 11/(-5)?
1
Suppose -70 = -2*h - 26. What is the remainder when 108 is divided by h?
20
Suppose 11 = -6*x + 7*x. Calculate the remainder when 43 is divided by x.
10
Suppose -4*n = d - 17, n + 4*d = -n - 2. What is the remainder when 19 is divided by n?
4
Let f = 23 + -14. Let z(s) = -s**3 - 3*s**2 + 1. Let p = -11 + 7. What is the remainder when z(p) is divided by f?
8
Let f(v) = 2*v**2 + v. Let b be f(-4). Suppose -5*g + o = -b, 0 = -g - 2*g - o + 12. What is the remainder when 7 is divided by g?
2
Let y = -23 + 74. Suppose 0*n - y = -n. Calculate the remainder when n is divided by 18.
15
Suppose 0 = -3*k - 3*d + 54, -7*k + 84 = -3*k + d. What is the remainder when 85 is divided by k?
19
What is the remainder when 32 is divided by ((-30)/(-9))/(2/6)?
2
Let f(m) = m**2 - 2*m + 2. Let u be f(2). Suppose 3*c + 47 = 4*c + 2*w, -u*c + 101 = -3*w. Calculate the remainder when c is divided by 26.
23
Suppose 60 = -l + 6*l. Let r = -11 - -18. What is the remainder when l is divided by r?
5
Let o = 99 - 43. Calculate the remainder when o is divided by 30.
26
Let x = 11 + -3. Suppose f = -3*b + 52, -3*f + x*f + 80 = 5*b. Suppose 4*i - 144 = -4*q, -q + 5*i + 140 = 4*q. What is the remainder when q is divided by b?
15
Let l(m) = -m + 8. Let g(t) = -t**2 - 7*t - 4. Let r be g(-5). Let w be l(r). Calculate the remainder when w*(1 + (-3)/(-2)) is divided by 3.
2
Suppose 0 = -3*h - 6, -3*u = -2*h - 16 - 33. Suppose -2*p - 156 = -2*f, u = 5*p - 2*p. Calculate the remainder when f is divided by 28.
27
Suppose 4*p - 48 = -4*a, -3*a + p = 2*a - 48. Suppose 51 = 5*k + 4*i + 9, 5*k = 4*i + 18. What is the remainder when a is divided by k?
4
Let s = 29 - -14. Let j(l) = 3*l**2 - 2*l - 6. Let q = 24 - 21. Calculate the remainder when s is divided by j(q).
13
Calculate the remainder when 33 is divided by 38/6 - ((-5)/3 - -2).
3
Let n(o) = -o**3 + 6*o**2 - 4*o - 3. Let r be n(5). What is the remainder when 3/(r/(-128)*-6) is divided by (10 - -1)*(0 + 1)?
10
Suppose z - 5*h + 6 = -0, 0 = z + 5*h - 14. Calculate the remainder when 6 is divided by z.
2
Let u(w) = -w**3 + 9*w**2 - w + 4. What is the remainder when u(6) is divided by 27?
25
Suppose 2*z = 5*p - 20, 3*p - 3*z + 2*z = 11. What is the remainder when 1/2 + 23/2 is divided by 13/p - 1/(-2)?
5
Suppose 4*p - r = 716, 0 = -5*p + 5*r - 0*r + 895. Calculate the remainder when p is divided by 30.
29
Suppose 4*b - 18 = 2*b. Suppose 4*w + 4*l = 16, 0 = 5*w - 2*l + 4*l - 23. What is the remainder when b is divided by w?
4
Let l = 250 + -243. Let c(v) = 24*v**2 + v. What is the remainder when c(1) is divided by l?
4
Suppose 3*f = -3*w + 18, 4*f - 2 - 4 = 2*w. Calculate the remainder when (0 - (2 - f))*31 is divided by 11.
9
Let b(k) = -k**2 + 18*k - 1. Calculate the remainder when b(15) is divided by 23.
21
Let t = 101 - 57. Let a = -6 + 18. Calculate the remainder when t is divided by a.
8
Let o(m) = -m**3 - 7*m**2 - 5*m + 8. Let h be o(-6). Suppose h*t - 1 = 1. What is the remainder when 2 is divided by t?
0
Suppose -2*j = 3*j. Suppose 4*b + 40 = -j*f - 4*f, 5*f - 5*b + 10 = 0. What is the remainder when (-78)/(-4)*(-8)/f is divided by 7?
5
Suppose k = -2*v - 6 + 55, -v = -k - 32. Let c be (-189)/3*(-1 - 0). Let a = c - v. Calculate the remainder when a is divided by 19.
17
Let x(m) = -2*m - 4. Let l be x(-4). Suppose v - 3*v + 7 = -c, v + l*c = 8. Calculate the remainder when ((-40)/(-6))/(4/6) is divided by v.
2
Suppose 0 = -3*b - 9, 0*h - 3*h - 69 = -b. Let f = h - -61. Calculate the remainder when f is divided by 19.
18
Suppose 5*m + 5*c - 15 = 0, -4 = -5*m + 4*m - 2*c. Let y(g) = -5*g**3 + 11 + m*g**3 + 4*g**3 - 8*g - 7*g**2. Calculate the remainder when 21 is divided by y(8).
10
Let x(q) = -2*q - 2. Let d be x(-3). Suppose 0 = -2*v + d*b - 7*b + 15, 3*v = 3*b + 45. Calculate the remainder when 35 is divided by v.
11
Suppose 4*u - u - 159 = 0. Let z = 57 + -97. Calculate the remainder when u is divided by (-6)/(-9) - z/3.
11
Suppose -4*z = -3*z + 4. Let i = z - -5. Calculate the remainder when (7 - 3)*6/8 is divided by i.
0
Let t(j) = j**3 + 4*j**2 - j + 7. What is the remainder when t(-4) is divided by 8?
3
Suppose 4*j + 0*j - 3*g - 1 = 0, 5*g - 5 = 0. Suppose -3 - j = q. Let m(k) = k**2 - 3. What is the remainder when 38 is divided by m(q)?
12
Let y(h) = 15*h. Let o(s) = -7*s. Let c(u) = -5*o(u) - 2*y(u). What is the remainder when c(7) is divided by 12?
11
Suppose 4*z - 170 = -z. Calculate the remainder when z is divided by 18.
16
Suppose -3*c + 72 = -0. Suppose 4*g - 2*h + 25 = -1, 3 = -2*g - h. Calculate the remainder when c is divided by (-12)/g + 5*2.
11
Suppose -2*s = -2*n - 16, -s - n = -3*n - 10. Let d be (-2)/4*s + -33. What is the remainder when 33 is divided by d/(-10)*5/2?
6
Suppose -4*j + 3*j + 23 = 0. Calculate the remainder when 88 is divided by j.
19
Let m = -5 - -52. Let z(w) = -w**2 - 6*w - 3. Let c be z(-5). Suppose 28 = 2*y - 4*a, y + 21 = c*y + 5*a. Calculate the remainder when m is divided by y.
15
Let b(g) = g**3 + 5*g**2 - 3*g - 7. What is the remainder when 13 is divided by b(-5)?
5
Let k = -31 + 50. Let q(w) = -w - 9. Let s be q(-8). Calculate the remainder when (-6 - s) + 2 + 39 is divided by k.
17
Let l be (3/6)/(3/(-48)). Let b(i) = -i + 9. What is the remainder when 33 is divided by b(l)?
16
Let s(j) = -120*j**3 + j**2 + j. Let y be s(-1). Suppose 5*o + 2*h - 5*h = y, -5*o + 5*h = -130. Calculate the remainder when 61 is divided by o.
19
Let b be (-1)/(-2) + 11/2. What is the remainder when 44 is divided by b/(-2) + -1 + 19?
14
Let j(f) = -7*f + 5. Let b(z) = -8*z + 6. Let s(v) = -5*b(v) + 6*j(v). Calculate the remainder when s(-4) is divided by 3.
2
Suppose 3*g - 74 + 17 = 0. Suppose 42 = 4*a + 2. What is the remainder when g is divided by a?
9
Suppose 8*f = 11*f - 66. Calculate the remainder when 65 is divided by f.
21
Let t be 1*0/(-3 - -1). Let g = t - -9. What is the remainder when 26 is divided by g?
8
Let r = -1 - -15. Let a(m) = 8*m**3 + m**2 - 1. Let u be 2/(-4)*-4 + -1. What is the remainder when r is divided by a(u)?
6
Let a(c) = -c**2 + 5*c + 6. Let i(t) = 2*t + 26. Let x be i(-11). Suppose 3*y + 3*b = 2*y + x, 0 = 5*b. What is the remainder when a(5) is divided by y?
2
Let b(s) be the second derivative of 2 - s**3 + 2*s + 0*s - 2. What is the remainder when 22 is divided by b(-2)?
10
Let t(n) = n**3 + 6*n**2 - 9*n - 6. Let h be t(-7). Calculate the remainder when 10 is divided by (2 + 0)/(h/16).
2
Suppose 0*t - 2*t = 0. Suppose -12 - 24 = -5*w - b, 2*w - b - 20 = t. Suppose -2*k + w = -2. What is the remainder when k is divided by 2?
1
Let h = 11 - 4. What is the remainder when 27 is divided by h?
6
Suppose 3*h - 4*f + f = -27, 4*h = f - 36. Let a = h + 21. Calculate the remainder when 34 is divided by a.
10
Suppose 0 = -51*x + 59*x - 448. What is the remainder when x is divided by 20?
16
What is the remainder when 40 is divided by 4 + (-7)/1 - -33?
10
Let k(p) = p**2 + 0*p + 5*p + 3*p**2 + 4. What is the remainder when k(-3) is divided by 9?
7
Let u be 2*3/15*5. Suppose u*v + 1 = 19. Calculate the remainder when 3 + 18/(-2 + -1) + 20 is divided by v.
8
Let y = 74 - 106. Let i = y + 46. Let u = i - 9. Calculate the remainder when 14 is divided by u.
4
Let a(g) = 40*g. Suppose 4*q + 4*t - 20 = 0, 4*q - 5*t = -0*q - 16. Let n(r) = -r**2 - 8*r - 2. What is the remainder when a(q) is divided by n(-4)?
12
Suppose -3*r + 107 = 2*f - 16, f - 2*r - 65 = 0. Calculate the remainder when f is divided by 22.
19
Suppose 0 = -6*y + 66 + 6. Let t(u) = u**2 - 5*u + 5. Let s be t(4). Calculate the remainder when (s + 43)*(-2)/(-4) is divided by y.
10
Let a = -7 + 39. What is the remainder when 126 is divided by a?
30
Suppose 10*f - 2*f - 216 = 0. Calculate the remainder when f is divided by 10.
7
Let c(s) = s**3 + 7*s**2 + 2*s + 1. Let h be c(-5). Suppose 3*v = -u + h, 5*u = 3*v - 2*v + 13. Calculate the remainder when 23 is divided by v.
