e remainder when 22 is divided by t.
6
Suppose -4*x + 8 = n, -2*n + 2 = x - 0. Let y = 1 - 1. Suppose y = u - 4*u + 9. Calculate the remainder when u is divided by x.
1
Let y(b) = -15*b. Let z be y(-3). Let q = -27 + z. Calculate the remainder when 34 is divided by q.
16
Suppose x = -0*x + 7. Let r(n) = n**2 - 4*n + 6. Let a be r(x). Let d = a + 6. Calculate the remainder when d is divided by 17.
16
Let s(r) = -5*r - 3. Let i(g) = 5*g + 4. Let k(u) = 4*i(u) + 5*s(u). Suppose -2*l + 0*l = -34. Calculate the remainder when l is divided by k(-1).
5
Let n = 11 + -12. Let w = n + 11. What is the remainder when 19 is divided by w?
9
Let x = 2 - 2. Suppose -4*z + 11 + 101 = x. What is the remainder when 109 is divided by z?
25
Suppose 0 = -2*y + 14 + 20. Calculate the remainder when y is divided by 5.
2
Calculate the remainder when 277 is divided by (-51 + 1)*40/(-50).
37
Let p(i) = -2*i - 1. What is the remainder when 152 is divided by p(-6)?
9
Suppose -16 = -5*h + 19. Let l(o) = -o**2 + 7*o + 2. Let i = 7 - 2. Calculate the remainder when i is divided by l(h).
1
Let y(p) be the second derivative of -p**5/20 - 2*p**4/3 - p**3/6 - 3*p**2/2 - 3*p. Calculate the remainder when 13 is divided by y(-8).
3
Suppose -31 = 3*h - 208. What is the remainder when 175 is divided by h?
57
Let i = 4 - 5. Calculate the remainder when 19 is divided by i + 9 + 0 + 3.
8
Let w = -14 - -10. Let t(q) be the second derivative of -4*q**3/3 + q**2/2 + 17*q. What is the remainder when t(w) is divided by 9?
6
Calculate the remainder when (108/(-30))/(2/(-25)) is divided by 8.
5
Let l be (-31)/(-11) + (-2)/(-11). Suppose -4*v + l*v + 57 = 0. Calculate the remainder when v is divided by 15.
12
Suppose 3*c + 309 = -c + 3*o, -c - 4*o = 63. Let v = 125 + c. Calculate the remainder when v is divided by 17.
16
Suppose 3*y + 3*s = 18, -2*y = -2*s + 7*s. What is the remainder when y is divided by 4?
2
Suppose -9 = 2*g - 5*g. Calculate the remainder when (-2)/(-6) - 22/(-6) is divided by g.
1
Let m be (10/4 + -1)*2. Suppose -4*y = 3*l + y - 16, 12 = m*l + 3*y. What is the remainder when 6 is divided by l?
0
Let g(n) = n**3 - 5*n**2 + 3*n + 3. Let f be (-19)/(-4) - 7/(-28). Calculate the remainder when g(f) is divided by 10.
8
Let c = 17 + -14. Suppose 54 = 3*t + c. Calculate the remainder when t is divided by 5.
2
Suppose 4*i = u - 3 - 0, -14 = -3*i + 4*u. Let z = i + 4. Let g = 18 + -13. What is the remainder when g is divided by z?
1
Let i = -7 - -32. Suppose -2*p + i = 3*p. Suppose u = -2*r + p*r + 12, r = -2*u + 38. Calculate the remainder when 52 is divided by u.
16
Suppose -4 = 5*v - 149. What is the remainder when 115 is divided by v?
28
Suppose 2*q - 2 - 4 = 0. Suppose 4*v - 4 - 4 = 0. Suppose -2*m = -n - 6, 0*m + v*n - 33 = -5*m. What is the remainder when m is divided by q?
2
Suppose -6 + 1 = -5*p. Let n = -5 - 3. Calculate the remainder when (-7)/2*n/14 is divided by p.
0
Suppose -3*s - 6 = 5*m + s, 3*m - s = 10. Suppose 4 = -d - 0. Let c = -2 - d. Calculate the remainder when c is divided by m.
0
Let w = 31 + -14. What is the remainder when 30 is divided by w?
13
Calculate the remainder when (-2)/(-3) - 248/(-6) is divided by 15.
12
Suppose 5*d - d - 164 = 0. Suppose -5*g = -9 - d. Suppose -h = 4*k - 3, 0 = 4*h - 2*k - 8 - 4. Calculate the remainder when g is divided by h.
1
Let h = 10 + 51. Suppose -5*y + 39 = -p - 42, 4*y - h = -3*p. Let a = -8 + y. What is the remainder when 14 is divided by a?
6
Let w(o) = -8*o - 8. Calculate the remainder when w(-4) is divided by 9.
6
Let d(g) = 16*g - 13. Calculate the remainder when 84/(-9)*6*-1 is divided by d(2).
18
Suppose 4*o + 12 = 0, -4*b + b = 5*o + 75. Let a = -30 - b. Let q = a - -21. What is the remainder when 32 is divided by q?
10
Let x = -125 + 146. What is the remainder when 229 is divided by x?
19
Suppose 0*t + t = 44. Suppose 3*z = -z + t. What is the remainder when 19 is divided by z?
8
Let y = 0 + 4. Let x = y - 1. Suppose 0 = l - x + 2. Calculate the remainder when 2 is divided by l.
0
Let y = 239 + -104. Suppose 3*v - y = -3*n, -3*v + n = -n - 145. What is the remainder when v is divided by 16?
15
Suppose 5*n - 204 = f, 0 = 5*n + 3*f - 8*f - 200. Let s(w) = 10*w**2 - 2*w - 1. Calculate the remainder when n is divided by s(-1).
8
Let t(r) be the third derivative of -r**5/60 + r**4/3 - 5*r**3/6 - 3*r**2. What is the remainder when 12 is divided by t(6)?
5
Suppose 6*g - 20 = 2*g. Let c = 62 + -40. What is the remainder when c is divided by g?
2
Suppose s = -3*s - p + 57, -27 = -2*s + p. What is the remainder when 41 is divided by s?
13
Suppose -495 = -5*g - 4*g. What is the remainder when g is divided by 19?
17
Calculate the remainder when (-4 + 18/3)/((-4)/(-70)) is divided by 12.
11
Let t(j) = 7*j**2 - 2*j + 6. Let x(z) = z**2 + z. Let i(b) = -t(b) + 6*x(b). Let h = 54 + -48. Calculate the remainder when 11 is divided by i(h).
5
Let k(w) = -w**3 + 6*w**2 + 5*w + 8. Let m be k(7). Let p = 10 + m. What is the remainder when 11 is divided by p?
3
Let n = -64 - -77. What is the remainder when 76 is divided by n?
11
Let g(m) = -m - 22. Let c be g(0). Calculate the remainder when c/3*(-9)/6 is divided by 4.
3
Suppose 6 = -v - v - 3*k, -k = 5*v + 41. Let i(g) = g**2 + 3*g. What is the remainder when i(v) is divided by 11?
10
Suppose -3*g + 92 = -4*p, -5*p + 65 + 27 = 2*g. Calculate the remainder when 143 is divided by g.
35
Suppose 3*c - 2 = 94. Suppose -4*d = d + m - 50, d + 4*m + 9 = 0. What is the remainder when c is divided by d?
10
Suppose -52*t + 49*t = -36. Calculate the remainder when 29 is divided by t.
5
Let f = 21 - 5. Suppose -f*b = -15*b - 9. Calculate the remainder when 24 is divided by b.
6
Let h be ((-38)/(-4))/(2/4). Let b(f) = 46*f - 1. Let q be b(1). Suppose d - q = h. What is the remainder when d is divided by 22?
20
Suppose -3*b + 3 = n, 6*b - n = b + 13. Suppose 4*v - 2*c = b*v + 2, -2*c - 10 = -4*v. What is the remainder when 15 is divided by v?
3
Let f = -3 - -8. Suppose f*j - 5*w = 105, -w = -4*j + 32 + 64. Calculate the remainder when 97 is divided by j.
22
Let w(x) = x**2 - 9*x + 12. What is the remainder when 13 is divided by w(8)?
1
Suppose 3*n - 123 = y + 62, 5*y = -2*n + 112. Calculate the remainder when n is divided by 21.
19
Let i(q) = -q**3 + q**2 - q. Let g be i(0). Suppose g = 2*m - m - 24. What is the remainder when m is divided by 13?
11
Suppose -169 = -2*m + 113. What is the remainder when m is divided by 36?
33
Let w(j) = -j**3 + 8*j**2 - 5*j + 1. Let b be 374/10 - 2/5. Let t = 52 - b. Calculate the remainder when w(6) is divided by t.
13
Let m(d) = d. Let z be m(2). Suppose -2*r + z = -16. What is the remainder when 33 is divided by r?
6
Let n be 2/(-7) - (-2)/7. Suppose -3*j = 5*y + 5, 7 = 3*j - 3*y + 5*y. Suppose n*p + 15 = j*p. What is the remainder when p is divided by 2?
1
Let k(r) = -r**2 - 4*r - 4. Let z be k(-3). What is the remainder when 5 is divided by 3 - (-1 - 0)/z?
1
Suppose d - 3*w - 14 - 1 = 0, 3*w + 33 = 3*d. What is the remainder when 33 is divided by d?
6
Let g = 45 - 25. Let t = -12 + g. Calculate the remainder when 13 is divided by t.
5
Let a(w) = w**3 + 5*w**2 - 6*w. Let u be a(-6). Let d = 4 - u. Calculate the remainder when 11 is divided by d.
3
Suppose l - p + 3 = 4*p, -5*p - 5 = -5*l. Let b(f) = f + 17. Calculate the remainder when b(-10) is divided by l.
1
Suppose -k = -10*k + 99. What is the remainder when 63 is divided by k?
8
Suppose -3*n + 2*n = -9. What is the remainder when 25 is divided by n*((1 - -1) + -1)?
7
Let q(h) = 12*h**2 + 1. Let n(o) = o**3 - o**2 - 20*o - 12. What is the remainder when n(6) is divided by q(1)?
9
Suppose 4*v - 93 = r - 0, -108 = -4*v + 4*r. What is the remainder when v is divided by 6?
4
Suppose 6 + 27 = 3*q + 5*s, -2*q - 4*s + 24 = 0. What is the remainder when 21 is divided by q?
3
Suppose -143 = -5*w - 2*s, -3*s = -5*w + 79 + 44. Calculate the remainder when w is divided by (1*(-7)/1)/(-1).
6
Let b be 1392/54 + (-2)/(-9). Let h = -3 + b. What is the remainder when 67 is divided by h?
21
Suppose -2*z + 24 = -6*z. Calculate the remainder when 119 is divided by (-4)/24 - 181/z.
29
Let m = 10 - 7. Suppose -54 = -0*l - m*l. Let k = -19 + 29. Calculate the remainder when l is divided by k.
8
Let s = -15 - -17. Suppose -s*