. What is the remainder when 144 is divided by t?
28
Suppose -4*m = m - 10. Suppose 3*a - 7*a + 12 = 0. Suppose 25 = a*b + 2*b. Calculate the remainder when b is divided by m.
1
Let a = 40 - 8. Suppose 9 - a = -l. Calculate the remainder when l is divided by 12.
11
Suppose 0 = 3*n - 0 - 24. Calculate the remainder when (-1269)/(-99) - (-2)/11 is divided by n.
5
Let z be 1/((-2)/(-8) - 0). Suppose -z*j - 4*p = -p, 5*j - 4*p = 31. Suppose -11 = -n + j. Calculate the remainder when n is divided by 5.
4
Let f be (-6)/(-9) - (-2)/(-3). Suppose 9*o - 4*o - 65 = f. Calculate the remainder when 17 is divided by 6/10*(o - -2).
8
Let x(m) = -11*m**3 - m**2 + m + 1. What is the remainder when 17 is divided by x(-1)?
7
Let z = 60 + -42. What is the remainder when 123 is divided by z?
15
Let f(b) = 14*b. Let k(p) be the first derivative of -p**4/4 - 11*p**3/3 + 5*p**2 + 2*p - 2. Calculate the remainder when k(-12) is divided by f(1).
12
Suppose 0 = -k - 1, -y + 2*k - 3*k = -2. What is the remainder when 40 is divided by -35*(0 - y/5)?
19
Suppose -2*y + 0*z + 346 = -2*z, 0 = -5*z + 5. What is the remainder when y is divided by 16?
14
What is the remainder when 97 is divided by -3 - -28 - (1 - 3 - -1)?
19
Let o(n) = n**3 - 4*n**2 - 2*n + 1. Suppose i - 60 = -i. Calculate the remainder when i is divided by o(5).
14
Suppose 2*q + 518 = -5*k + 9*k, -3*q - 122 = -k. Calculate the remainder when k is divided by 33.
32
Let d = 9 + -6. Suppose -5*l + 3 = -32. Calculate the remainder when l is divided by d.
1
Let b(u) = -u + 2. Let p = 69 - 40. What is the remainder when p is divided by b(-6)?
5
Suppose -2*t + 5 + 1 = 0. Suppose 0 = t*k - 5*h - 68, 2*k = -2*h + 12 + 12. What is the remainder when 29 is divided by k?
13
Let n(b) = -b**3 + 6*b**2 + 5*b. What is the remainder when n(6) is divided by 11?
8
Suppose 3*y = 4*y. Suppose -2*m = 3*z - 13, -m = -y*z + 3*z - 14. Calculate the remainder when 12 is divided by z.
2
Suppose -j = -23 - 23. What is the remainder when 228 is divided by j?
44
Let q(l) be the third derivative of -3*l**2 + 0*l - 1/60*l**5 + 0 - 4/3*l**3 - 5/12*l**4. What is the remainder when 15 is divided by q(-8)?
7
Let s = -41 - -60. Let c(a) = -a + 2. Let n be c(-4). Let u = n + 4. Calculate the remainder when s is divided by u.
9
Let i(t) = -34*t - 1. Let b be i(1). Calculate the remainder when 2/5 + (-581)/b is divided by 10.
7
Let u(z) = -z**3 + 9*z**2 - 7*z + 6. Let t(m) = m**2 - 2*m. Let i be t(-2). Let v(y) = 8*y**2. Calculate the remainder when u(i) is divided by v(1).
6
Suppose 0*m = -m. Suppose m = 2*x - 0*x - 14. Calculate the remainder when -3*8/(-6)*5 is divided by x.
6
Let i be 3/6 - (-2)/4. What is the remainder when 25 is divided by ((-9)/(-2))/(i/2)?
7
Let z = -9 + 16. What is the remainder when 12 is divided by z?
5
Suppose 0 = -3*f + 6*f - 9. Suppose -7 = k - 2*k. Calculate the remainder when k is divided by f.
1
Let s(g) = g**2 + 2*g - 2. Let i be s(-4). Suppose 4*o + 5*f - 54 = -0*o, -o = 5*f - i. Calculate the remainder when 30 is divided by o.
14
Let y = -7 + 7. Let u = 9 + -7. Suppose u*s = -2*t + 18, 9 = -t + 5*s - y*s. Calculate the remainder when t is divided by 4.
2
Suppose 2*h = 5*d - d + 122, d = -h + 58. Let k = 0 - 20. Let s = 35 + k. What is the remainder when h is divided by s?
14
Let o(q) = -q**2 - 11*q - 3. What is the remainder when o(-5) is divided by 8?
3
Let b = 2 - 0. Suppose -3*w - 3*n = -0*w - 15, 0 = n - b. Let t = -5 + 7. Calculate the remainder when w is divided by t.
1
Let z(q) = -q**3 - 9*q**2 + 9*q + 7. What is the remainder when 45 is divided by z(-10)?
11
Suppose -5*k + 45 = 15. Calculate the remainder when k is divided by 4.
2
Suppose 5*t = 3*l - 166, 3*t = l + 1 - 63. Let x = 2 + 0. Suppose 4*i + 4*n = n + l, 3*i = x*n + 31. Calculate the remainder when 31 is divided by i.
9
Let k(y) = -5*y + 11. What is the remainder when 70 is divided by k(-5)?
34
Suppose 0 = -2*x - 0*x - 5*t + 18, -3*x - 2*t + 16 = 0. Let z = x + -4. Let y = 9 - z. What is the remainder when 17 is divided by y?
8
Let d = 91 - 41. Calculate the remainder when d is divided by 14.
8
Let m(i) = 3*i + 28. Calculate the remainder when 3 is divided by m(-9).
0
What is the remainder when -5 + -4 + 134 + -5 is divided by 61?
59
Let n(w) = w**3 - 3*w**2 - 2*w - 4. Let s be n(4). Suppose -18 - 14 = -s*v. What is the remainder when 21 is divided by v?
5
Let l(x) = x - 14. Let t be l(12). What is the remainder when (t - 16)*2/(-2) is divided by 7?
4
Let f(n) = 13*n**2 + 2*n - 4. What is the remainder when f(-3) is divided by 9?
8
Let o be 24/(-16)*4/(-2). Suppose 0 = -0*i - o*i + 24. What is the remainder when 13 is divided by i?
5
Let n(l) be the third derivative of l**5/10 + l**3/3 - 2*l**2. Calculate the remainder when n(-2) is divided by 9.
8
Suppose g = 3*g - 6. Suppose 0 = g*p - 5*p + 20. Calculate the remainder when p is divided by 3.
1
Suppose -2*j + 77 = 21. Let l = 2 + -1. What is the remainder when j is divided by (1/(-4) + l)*20?
13
Let v = 86 + -43. Let t = -37 - -52. Calculate the remainder when v is divided by t.
13
Let w(f) = f**3 + f**2 + f + 1. Let n be w(0). Let y(o) = 18*o + 1. What is the remainder when y(n) is divided by -2 + 7/(7/12)?
9
Suppose 0 = 5*x - 2*x. Let j = x + 8. Suppose -p = p + n - 15, -2*p + n = -5. Calculate the remainder when j is divided by p.
3
Let c = 132 - 113. Calculate the remainder when 86 is divided by c.
10
Suppose 5*y - 118 = -3*n, -4*y = -n + 5*n - 88. What is the remainder when y is divided by 10?
6
Suppose -3*h = -0 - 27. What is the remainder when 24 is divided by h?
6
Suppose -9*k + 95 = -112. What is the remainder when k is divided by 4?
3
Let v(b) = 6*b - 4. Suppose 5*a + o + 0*o + 13 = 0, o = -a - 1. Let g be v(a). Let j = g - -57. What is the remainder when j is divided by 12?
11
Suppose -28 = -5*y + 47. Calculate the remainder when 23 is divided by y.
8
Let u(g) = g**2 + 2*g - 7. Let a be u(5). Let l be a/3 - (-1)/(-3). Let c = 19 + l. What is the remainder when c is divided by 10?
8
Let i(r) = 5*r**2 - 16*r + 5. Calculate the remainder when i(6) is divided by 23.
20
Let f(x) = -x**3 + 6*x**2 + 10*x - 3. Let i be f(7). Suppose -g = 2*g - i. Suppose 5*v = v + 16. Calculate the remainder when g is divided by v.
2
Let t(w) be the third derivative of -w**5/60 - w**4/24 + 3*w**3/2 - w**2. Suppose 4*d = 5*d. Calculate the remainder when 16 is divided by t(d).
7
Let n(d) = -d - 5. Let h be n(-9). Suppose 2*l - 12 = 2*j - 4, 0 = -5*l + h*j + 23. What is the remainder when 26 is divided by l?
5
Suppose 5*z = -4*l + 64 + 142, -l = -2*z + 72. Suppose 4*a = z + 2. Calculate the remainder when ((-168)/30)/((-4)/a) is divided by 4.
2
Let y = -32 + 95. Calculate the remainder when y is divided by 22.
19
Suppose -2*r + r = 2*v - 15, 4*v = 5*r + 65. Calculate the remainder when v is divided by 20/3 - ((-8)/12)/(-1).
4
Suppose 5*y - 209 = -2*w, 4*w = -0*w + 5*y + 493. What is the remainder when w is divided by 30?
27
Let a(h) = h - 2. Let s be a(5). Suppose -62 = -5*c - 3*q, 2*c + c = s*q + 42. Let v = 26 + -1. What is the remainder when v is divided by c?
12
What is the remainder when 144 is divided by (2/4)/((-8)/(-464))?
28
Let m(v) = -v + 7. Let y be m(5). Suppose -7*x - 5 = -y*x, 0 = -3*j - 3*x + 9. Suppose i - 44 = -j. Calculate the remainder when i is divided by 14.
12
Let z = 7 + -4. Let p = z - 1. Suppose -h = -8 + p. What is the remainder when 17 is divided by h?
5
Let f(t) = t**2 + 11. Let l be f(0). Calculate the remainder when (-595)/(-55) + 2/l is divided by 6.
5
Let s(w) = -9*w - 20. Calculate the remainder when 30 is divided by s(-4).
14
Suppose 121 = 5*k + 3*y, -5*y - 93 = -3*k - 0*y. Let v = 7 + k. What is the remainder when v is divided by 9?
6
Suppose 2*p + 80 - 25 = 3*u, -p = u - 10. Let o(d) = -d**2 - 5*d + 2. Let j be o(-6). Let m = u + j. What is the remainder when 31 is divided by m?
9
Suppose 5*l + 20 = 0, 4*k - 32 - 52 = 2*l. What is the remainder when 37 is divided by k?
18
Let w(h) = 0 + 0*h + h - 2. Let d be w(6). Suppose 0 = 4*r - 16, -d*o + r + 38 = -66. What is the remainder when o is divided by 14?
13
Suppose 4*b - 1 = 3*b + 2*q, 4*b - 16 = 5*q. Suppose 5*w + 3*m = 20 + 90, 5 = w + 4*m. Calculate the remainder when w is divided by b.
7
Suppose -i = -3*j - 15 - 34,