 c(-2). Suppose m + 10 = k*z. Calculate the remainder when 19 is divided by z.
5
Let u = -331 + 568. What is the remainder when 1*2/6*u is divided by 20?
19
Suppose d - 122 = -2*q, 5*q - d + 3*d = 303. What is the remainder when 114 is divided by q?
55
What is the remainder when 24/15 + 15/(-25) is divided by 1?
0
Let s(y) = y + 2. Let t be s(0). Suppose 0*o = -t*o + 8. Suppose 0 = -4*n - 3*a + 35, -o*n + 2*a + 22 = -n. Calculate the remainder when 14 is divided by n.
6
Suppose -5*p - 3*z + 11 = -0*p, 4*p + z - 13 = 0. Suppose 0 = 5*j + 10, -f + p*j = 3*j - 5. Calculate the remainder when 6 is divided by f.
0
Suppose -117 = -4*c - 37. Calculate the remainder when 76 is divided by c.
16
Let x(b) = 25*b - 5. Let u be x(6). Suppose -4*i - 2*n - 47 = -157, -5*i + u = -5*n. Suppose 5*z = 30 + 45. What is the remainder when i is divided by z?
13
Suppose 0 = -4*g - 3*o + 176, 2*g - 6*g - 4*o + 176 = 0. Let v = -18 + g. Calculate the remainder when v is divided by 14.
12
Suppose -2 - 6 = 4*v. What is the remainder when 3 + (-2)/((-2)/v) is divided by 1?
0
Let y(u) = -u**2 + 17*u - 6. What is the remainder when y(13) is divided by 16?
14
Let s(x) = -14*x - 7. Let r be s(-5). Suppose 4*m = 109 + r. Suppose 1 - 5 = -z, 5*o = 3*z + m. What is the remainder when 31 is divided by o?
9
Let t = -11 - -28. Suppose r = -0*r + 10. Let m = t - r. Calculate the remainder when 18 is divided by m.
4
Suppose 0 = 3*w - 3 - 0. What is the remainder when 2 is divided by w?
0
Let k(o) = -o**3 - 2*o**2 - 2*o - 1. What is the remainder when k(-4) is divided by 10?
9
Let z = -13 + 14. Let f = 14 - 10. Let d = -3 + f. What is the remainder when z is divided by d?
0
Let n = -27 + 11. Let u = 3 - n. Calculate the remainder when u is divided by 7.
5
Suppose -2*d - d = -24. Let q(x) = -x**2 + 10*x - 6. Let h be q(d). Suppose -h = 3*f - 58. Calculate the remainder when f is divided by 6.
4
Let f(u) = -u**2 - 4*u + 7. Suppose 7 = -5*x - 3. Let h(w) = 2*w**2 + 3*w. What is the remainder when h(x) is divided by f(-5)?
0
Suppose -7*a = -3*a - 4. Calculate the remainder when 6 is divided by (8*a)/(4/2).
2
Let o be (-67)/3 - (-2)/6. Let b = o + 43. Suppose 9 - 42 = -3*n. What is the remainder when b is divided by n?
10
Suppose 34 = 10*t - 106. Suppose -j - 2*l = 3, -4*j + 5*j - 5*l = 32. Suppose 0 = j*n - 2*n - 40. What is the remainder when t is divided by n?
6
Let c(j) = -16*j - 5. Calculate the remainder when 107 is divided by c(-2).
26
Let f(w) = -w**3 + w**2 + 2*w + 1. Calculate the remainder when 3 is divided by f(0).
0
Let r = -4 + 7. Suppose -4 - 5 = -r*i. Suppose 3*d - i - 24 = 0. What is the remainder when 25 is divided by d?
7
Suppose -3*t = -0*t - 2*a + 1, 2*t - 5*a + 19 = 0. Suppose -m = 3, -t*n + 103 = -2*m - 113. Let r = 32 + -8. What is the remainder when n is divided by r?
22
Let h(s) = s**2 + 13*s + 17. Suppose 0 = 3*o - 0*o - 183. What is the remainder when o is divided by h(-14)?
30
Suppose 5*p - 5*j = 45 + 35, p - 28 = 4*j. Calculate the remainder when p is divided by 3.
0
Let d = 189 - 89. Calculate the remainder when d is divided by 34.
32
Let h(t) = 46*t. What is the remainder when h(1) is divided by 16?
14
Let g = 98 + -37. What is the remainder when g is divided by 18?
7
What is the remainder when 2 is divided by (-1)/(2/(1 + -3))?
0
Suppose l - 2*r = -0*l + 31, 0 = 2*r + 10. Calculate the remainder when 83 is divided by l.
20
Let d = 2 - -6. What is the remainder when d is divided by 7?
1
Let j = -6 - -19. Calculate the remainder when j is divided by 4.
1
Suppose 2*n - 4*z - 18 = 0, -2*z = z. What is the remainder when n is divided by 2?
1
Suppose 3*l = 2*l + 40. Let a = 7 - 3. Suppose l = u + a*u. What is the remainder when 23 is divided by u?
7
Let o(q) = -9*q + 12. Let g be o(-12). Suppose 5*u - g = -5*z, -3*u + 25 = z - 57. What is the remainder when u is divided by 16?
13
Suppose -4*h = -16 - 20. Calculate the remainder when 21 is divided by h.
3
Let m = 24 + -2. Let w be (-8)/((-2)/2*-1). Calculate the remainder when m is divided by -1 - 1/(-1) - w.
6
Let v(j) = -j**2 - 11*j - 10. Let o be v(-8). Suppose 31 = 5*q - o. What is the remainder when 34 is divided by q?
7
Let w(s) = -2*s + 7. What is the remainder when w(-5) is divided by 3?
2
Suppose -6*g + 0*g + 12 = 0. Suppose 4 = 5*c - 4*m, 5*c + 1 - 2 = m. Suppose -g*b - 2*b + 40 = c. Calculate the remainder when b is divided by 3.
1
Suppose 43 = 5*w - 4*k, w - k - 14 = -2*k. What is the remainder when 40 is divided by w?
7
Let x(m) = 2*m**3 + m**2 + 2*m - 2. Let t be (0 + 1)*(4 + -2). Let z be x(t). Suppose s + z = 3*s. Calculate the remainder when s is divided by 6.
5
Suppose -3*b + 18 + 14 = 4*j, 5*j = -b - 4. What is the remainder when 60 is divided by b?
12
Let n = -6 - -7. Let k = n + 28. What is the remainder when k is divided by 8?
5
Suppose 48 = w + 2*w. Calculate the remainder when 29 is divided by w.
13
Suppose -152 + 22 = -4*j - 2*d, -5*j = -4*d - 130. What is the remainder when j is divided by 11?
8
Suppose 2*l + 3*l = 3*d - 68, -4 = l. Suppose 155 = 8*f - 3*f. Calculate the remainder when f is divided by d.
15
Suppose -j + 47 = -2*g + 4*g, -5*j = 4*g - 103. Calculate the remainder when 86 is divided by g.
20
Let l(u) = 6*u + 5. Let w be l(8). Suppose -2*o - 2*o - w = -x, x - 5*o = 57. What is the remainder when x is divided by 13?
11
Let d(t) = t**3 - t. Suppose 2*j - k - 22 = 15, -4*j + 64 = -4*k. Calculate the remainder when d(4) is divided by j.
18
Let i(o) = o**2 - 2*o - 3. Let n be i(4). Suppose -2*c - 3*x + 41 = 3, 0 = n*c + x - 95. What is the remainder when c is divided by 10?
9
Let h(s) = s + 5. Let n be h(-5). Suppose n = 6*j - 4*j - 32. Calculate the remainder when j is divided by 6.
4
Suppose -2*g - 3*s + 46 = -127, 5*s = -g + 104. What is the remainder when g is divided by 20?
19
Let y be 66/(-8) + 6/24. Let u = -5 - y. What is the remainder when 8 is divided by u?
2
Let b = 98 + -65. Let y = -18 + b. What is the remainder when y is divided by 9?
6
Let s be (14/4)/((-1)/(-2)). Let d = 11 + s. Calculate the remainder when 33 is divided by d.
15
Suppose 31*q = 30*q + 4. Suppose 19 = 3*v - 23. What is the remainder when v is divided by q?
2
Suppose 2*d = d + 2. Suppose -4 = -2*x + d. Suppose 0 = -h + x*v + 22, -5*h + 45 = -4*v + 2*v. Calculate the remainder when h is divided by 3.
1
Let c(w) = -w**3 - 4*w**2 - w - 1. Let t be c(-4). Let i(q) = -q**2 + 7*q. What is the remainder when i(t) is divided by 7?
5
Let h = -62 + 83. What is the remainder when 123 is divided by h?
18
Let m(k) = -k**2 + 8*k - 2. Let i be 4*(1 - 0/(-3)). What is the remainder when m(6) is divided by i + 1/(-1) - 0?
1
Suppose -3*y - 2*t + 6 = -0*y, 2*t = y - 10. Suppose y*p = -20, w - 5*p = 5*w - 47. What is the remainder when 37 is divided by ((-12)/w)/((-4)/78)?
11
Suppose -3*j = -0*j - 3. Calculate the remainder when 10/4*80/25 is divided by ((-1)/(1/(-3)))/j.
2
Suppose -3 = 2*b - 2*m + 5, 14 = -3*b + 4*m. Let o = 11 - b. Calculate the remainder when o is divided by 4.
1
Let h(l) be the first derivative of -3*l**2 - 3*l - 4. Calculate the remainder when h(-6) is divided by 9.
6
Let n(a) = -a + 22. Let m be n(15). Let u = 38 + m. Calculate the remainder when u is divided by 12.
9
Let f be 9/2 - 2/4. Suppose 0 = -4*b + 5*g + f, -b + 2*g - 20 = -3*b. What is the remainder when (-142)/(-4) - 3/b is divided by 12?
11
Suppose 4*r - 24 = 4*m, 0 = -3*r - 0*r - 2*m + 18. What is the remainder when 14 is divided by r?
2
Suppose 3*u - 6 = 0, -6 + 35 = v + u. Calculate the remainder when v is divided by 11.
5
Suppose 3*y - 17 = f, -3*f - 17 = -4*y + 9. Suppose y*m - 136 = -3*p, -m + 10 = 3*p - 10. Calculate the remainder when m is divided by 10.
9
Suppose 25*d - 6*d = 4883. What is the remainder when d is divided by 37?
35
Let f(j) = j**3 - 12*j + 9. What is the remainder when f(5) is divided by 38?
36
Let m(w) be the third derivative of w**4/24 + w**3 - w**2. Suppose -o - 3*b + 26 = 0, 4*b + 112 = 4*o + 24. What is the remainder when o is divided by m(6)?
11
What is the remainder when (58 - 0/3) + -1 is divided by 12?
9
Suppose -4*n - 4*l + 21 = -3, -4*n - 2*l = -26. What is the remainder when n is divided by (-2)/(-8) - (-22)/8?
1
Let m(j) = -j**2 + 3*j + 2. Suppose 0 = -4*o, 5*o = -6*z + 3*z - 15. Let k = z - -