 p + 70. What is the remainder when t is divided by 9?
6
Let t(q) = 4*q**2 + q + 5. Calculate the remainder when t(-4) is divided by 14.
9
Suppose -c + 5*y - 1 + 8 = 0, -5*y = -5*c + 75. Calculate the remainder when 59 is divided by c.
8
Suppose 0 = -a + 7 + 7. Let z(q) = 5*q**3 - 8*q**2 - 6*q. Let o be z(-5). What is the remainder when 2/(-3)*o/10 is divided by a?
11
Suppose 4*q + 10 = n - 0*q, -5 = 2*n - 3*q. Let t be -2 + -3*n/6. Suppose 3 = -t*m + 27. What is the remainder when 22 is divided by m?
6
Let u be 4 - 2 - 12/(-6). Suppose 4*q - 5*d - 42 = 0, 4*d = -q - u*q + 73. Let p(m) = 4*m**2 - 2*m - 4. What is the remainder when p(-3) is divided by q?
12
Suppose 3*w = -w + 16. Suppose 0*o + w*o - 32 = 0. Suppose -10*k = -6*k - 12. Calculate the remainder when o is divided by k.
2
Suppose -52 = 5*y - 7. Let m = y + 4. Let w(q) = -8*q + 7. What is the remainder when w(m) is divided by 16?
15
Let b(c) = -c**2 - 16*c - 7. What is the remainder when b(-11) is divided by 17?
14
Suppose -5*r + 2*r + 114 = 0. Calculate the remainder when r is divided by 5.
3
Let o(z) = 2*z**3 - 5*z**2 - 2*z - 8. Calculate the remainder when o(4) is divided by 9.
5
Let k = -7 - -22. Calculate the remainder when k is divided by 5.
0
Let v(f) = 2*f**3 + 21*f**2 + 9*f + 7. Let l = 0 + 6. Calculate the remainder when v(-10) is divided by l.
5
Let g(u) = u**2 + 5*u - 4. Let m be (-3 - -2) + 2 - 8. Let k(f) = f**3 + 6*f**2 - 2*f + 6. What is the remainder when k(-6) is divided by g(m)?
8
Suppose 8 = u - 7. Calculate the remainder when 88 is divided by u.
13
Let o = -1 - 2. Calculate the remainder when 56 - (-1 - -1)/o is divided by 19.
18
Suppose -k + 428 = -5*k. Let v be 4/(-6) + k/(-3). Suppose 7 = -2*u + 4*x + v, 3*x = 4*u - 56. Calculate the remainder when u is divided by 5.
4
What is the remainder when 23 is divided by 2 - 3/((-9)/15)?
2
Let p(a) = a**2 + 15*a + 14. Let c be p(-14). What is the remainder when 28 is divided by (c - -5)/((-6)/(-12))?
8
Let b(m) = -6*m**3 - 2*m**2 + 1. Suppose 2*d = -r + 13, 3*d + 3*r - 21 = -d. Calculate the remainder when b(-2) is divided by 11 + (d/3)/1.
13
Suppose -118*g + 119*g - 22 = 0. What is the remainder when 131 is divided by g?
21
Suppose 0*j - 5*j + 365 = 0. Calculate the remainder when j is divided by 25.
23
Suppose w = -2, -w + 0*w - 179 = 3*o. Let m = o - -82. Suppose 3*s - 4*a - 27 = -a, -3*s - 5*a = -19. What is the remainder when m is divided by s?
7
Suppose 0*n = -4*o + 5*n + 33, 4*n - 17 = -3*o. Let b = -3 - -5. Suppose -b*t + 1 + 19 = 4*r, 16 = 4*r + t. Calculate the remainder when o is divided by r.
1
Let h(d) = 23*d**3 - d. Suppose 21 = 3*y - 15. Suppose -y = -0*i - i. What is the remainder when h(1) is divided by i?
10
Let k = -35 - -53. Suppose -5*y - 12 + 182 = 0. What is the remainder when y is divided by k?
16
Suppose 3*z - 6 = 6, 0 = 3*o - 4*z + 58. Let k = -10 - o. Calculate the remainder when 6 is divided by k.
2
Let j(h) = -h - 12. Let v be j(-11). Let g = -1 - -1. Calculate the remainder when 2 is divided by (-1 + g)/1*v.
0
Suppose 0 = 5*q - 2*q - 60. Calculate the remainder when 57 is divided by q.
17
Suppose -4*l = -2*w + 16, 7*w - 4*w + 2*l = 8. Suppose -3*s = -2*m + 2, 9 = -m + 5*s - s. Calculate the remainder when m is divided by w.
3
Let n = 4 - 2. Let j = -3 - -5. Suppose 0 = p - 4*i - 24, j*i + 9 = p + i. What is the remainder when p is divided by n?
0
Suppose 0 = 3*a + 29 + 4. Calculate the remainder when -10*(a + (6 - 2)) is divided by 24.
22
Let u(s) = -31*s - 204. Let d = 62 - 12. Calculate the remainder when d is divided by u(-7).
11
Let z = 7 + -4. Suppose -3*j + z*a = -219, 3*j - a - 4*a - 209 = 0. Let v = j + -51. Calculate the remainder when v is divided by 14.
13
Suppose 0 = 4*m - 48 - 12. What is the remainder when 27 is divided by m?
12
Let n(m) = -m - 8. Let g be (-30)/4*(-4)/6. Suppose -r + 3*c + 11 = c, -4*c + 13 = g*r. Calculate the remainder when r is divided by n(-10).
1
Let a(o) = 8*o + 1. What is the remainder when a(3) is divided by (0 - (-2 - -3)) + 10*1?
7
Suppose 5*t + 10 = 0, -j - 2*j + 3*t = 132. Let h = -1 - j. Calculate the remainder when h is divided by 12.
9
Suppose 3*f - 75 = -2*f. Let r(n) = 7*n**2 + 7 - 6 - 3*n + 3*n. Calculate the remainder when r(-2) is divided by f.
14
Suppose 11*z = 14*z + 27. What is the remainder when (-3)/((3/z)/1) is divided by 3?
0
Let p be -1 + 1 + -2 + 40. Let s(c) = -c - 4. Let j be s(-4). Suppose 2*f - 30 - p = j. Calculate the remainder when f is divided by 12.
10
Let b(c) = 9*c + 7. Suppose -4*y + 4 + 16 = 0. Calculate the remainder when b(y) is divided by 27.
25
Let g(z) = z**2 - 2*z - 3. What is the remainder when 40 is divided by g(6)?
19
Suppose -3*k = -4*t - 295, -t + 486 = 5*k - 2*t. What is the remainder when k is divided by 10?
7
Suppose -2*v = -7*v + 135. What is the remainder when v is divided by 10?
7
Let z(u) be the second derivative of 8*u**3/3 + 4*u. Suppose 5*y - 16 = 14. What is the remainder when z(1) is divided by y?
4
Let k(u) = -u**3 + 38. Calculate the remainder when k(0) is divided by 10.
8
Let l(y) = -y**3 - y**2 - y. Let s(t) = -3*t**3 - 6*t**2 + 3*t - 5. Let q(n) = 2*l(n) - s(n). Calculate the remainder when 12 is divided by q(-5).
2
What is the remainder when 10 is divided by 2 - -1*(-3)/3?
0
Suppose -2*b + 5*l + 304 = 0, 0*b + 3*l + 308 = 2*b. What is the remainder when b is divided by 53?
51
Suppose -2*h + 133 - 35 = 0. What is the remainder when h is divided by 26?
23
Suppose 0 = 2*u - 11 + 3. Suppose 4*q - 21 = 7. Calculate the remainder when q is divided by u.
3
Let o(r) = -10*r + 64. Suppose -4*f - 3*h + 207 = 0, -2*f + 5*h + 138 - 15 = 0. What is the remainder when f is divided by o(5)?
12
Suppose 0 = c - 5 + 32. Suppose -4*b - 11 - 9 = 0. Let m = b - c. What is the remainder when m is divided by 12?
10
Let u = 32 - 9. Suppose 60 = 8*r + 12. Calculate the remainder when u is divided by r.
5
Suppose -8 + 0 = -4*t. Suppose -2*k - 27 = -i, -t*k + 7*k = -15. Calculate the remainder when (-4)/(-18) - (-358)/9 is divided by i.
19
Let p = 58 + -39. What is the remainder when p is divided by 6?
1
Let z be -1 - 2/(-1 + -1). What is the remainder when z - -32 - 0 - -2 is divided by 0 + 13 + -2 + 1?
10
Let s(t) be the first derivative of t**3/3 + 3*t**2/2 - 2*t - 4. Calculate the remainder when s(-5) is divided by 3.
2
Suppose 2 = x - 3. Suppose 94 = 2*f - x*r, 3*f + 61 = -4*r + 202. Calculate the remainder when f is divided by 12.
11
Suppose -i - 3 = -20. Let j = 4 + -2. What is the remainder when (31 - j) + 4 + -1 is divided by i?
15
Suppose 0 = 2*v - 5 - 7. Calculate the remainder when 16 is divided by v.
4
Let r = -6 + 3. Calculate the remainder when 11 is divided by 5 + 1/r*-3.
5
Suppose 0 = -p - 0*p + 38. Let w = -27 + p. Suppose 6 = -j - 2*x, -5*x - 1 = 5*j + 4. What is the remainder when w is divided by j?
3
Let n(l) = l**3 - 2*l**2 - 3. Let h be n(5). Suppose -3*k + h = 3. Calculate the remainder when k is divided by 13.
10
Let i(h) = h**3 + 6*h**2 + 6. What is the remainder when 21 is divided by i(-6)?
3
Suppose 89 + 53 = 2*r. Calculate the remainder when r is divided by (-3)/(-1 - 5/(-6)).
17
Let m(y) be the first derivative of 2*y**3 + 3*y**2/2 - 4. Calculate the remainder when m(-2) is divided by 5.
3
Let w(m) = -2*m + 5. Let a be w(7). Calculate the remainder when (-6160)/(-144) + (-2)/a is divided by 15.
13
Suppose -3*s = n - 113, 2*s - 6*n - 64 = -n. What is the remainder when 107 is divided by s?
33
Calculate the remainder when (-6)/27 + 58/18 is divided by 3.
0
Let g be (-1)/(-3) + 20/12. Suppose 0 = -4*f - z - 148, g + 2 = z. Calculate the remainder when 36 is divided by f/3*12/(-8).
17
Suppose n - 15 = -5*o, o + o - 4*n + 16 = 0. Suppose -4*w + s = -3*s - 28, 3*s = o*w - 12. Calculate the remainder when (-146)/(-6) - 4/(-6) is divided by w.
7
Let b be (-21)/9 - (-2)/6. What is the remainder when 8 is divided by b*1/4*-10?
3
Let n = 44 + -34. What is the remainder when (-78)/(-4) + 3/(-6) is divided by n?
9
Let q = -72 + 85. Calculate the remainder when 141 is divided by q.
11
Suppose 0 = -j - j - 2*h + 18, -5*h = 10. Calculate the remainder when 4/26 + (-1225)/(-65) is divided by j.
8
Let j = 69 + -103. Let x = j + 83. Calculate the remainder when x is divided by 17.
15
What is the rem