 5*i + 4*c - 627. Calculate the remainder when i is divided by 31.
30
Let p be 3/(-9) + (-4)/(-3). Calculate the remainder when 53 is divided by -9*p*(0 + -2).
17
Suppose -w = 3, 5*s + 2*w - 54 = 5*w. Calculate the remainder when 35 is divided by s.
8
Suppose 2*w + 10 = -0*w, 4*x + 5*w = 19. Let b(g) = 4*g**3 - 2*g**2 + g + 6. What is the remainder when b(2) is divided by x?
10
Calculate the remainder when (-1 + 0)*(-2 - 6) is divided by 3.
2
Suppose 0 = 3*o - 4*f - 23 - 42, 2*o - 5*f = 48. What is the remainder when 32 is divided by o?
13
Suppose -11 = -5*p - 2*h + 4, -15 = -5*p + 3*h. Suppose p*f = 2*f + 4. What is the remainder when 9 is divided by f?
1
Suppose 0*a + 119 = 7*a. What is the remainder when 50 is divided by a?
16
Let g(f) = -f**3 - f. Let u be g(0). Calculate the remainder when (-150)/(-22) - (-14)/385*5 is divided by (-1 + 5)*(1 + u).
3
Suppose 0 = 2*n + 2*n + 4, o - n = 7. Calculate the remainder when o is divided by 3.
0
Suppose 3*w + 2*x - 36 = 0, 2*w + 2*w + 5*x = 41. Suppose -w = -d - d. What is the remainder when d is divided by 2?
1
Suppose 7*x - 12*x = -25. What is the remainder when 10 is divided by x?
0
Let b = -17 + 41. Let m = b + -2. Let x(c) = c**3 + 6*c**2 - 3*c - 6. What is the remainder when m is divided by x(-6)?
10
Let m = 25 - 13. Let j(b) = b + 1. Let l be j(1). Suppose 4*k - 150 = 2*v, -5*v + l*v - 15 = 0. Calculate the remainder when k is divided by m.
11
Calculate the remainder when (12/15)/(2/120) is divided by 10.
8
Let t = 7 + -5. Let j(x) = -x**3 - 4*x**2 - 3*x. Let s be j(-4). Suppose 5*g - s - 13 = 0. Calculate the remainder when g is divided by t.
1
Suppose 5 = 4*a - r, 3*r - 7 = 2. Suppose 3*i = -2*w + 27 + 99, 0 = -4*i + a*w + 168. Calculate the remainder when i is divided by 11.
9
What is the remainder when 79 is divided by 23 - 9/6*2?
19
Let j(x) = -2*x**2 + x + 36. Calculate the remainder when j(0) is divided by 19.
17
Let l = 44 + -22. Suppose l = -p + 3*p. Calculate the remainder when p is divided by 7.
4
Suppose -d - 10 = -3*d. Let x = 33 - 22. Suppose x + 4 = 5*a. Calculate the remainder when d is divided by a.
2
Suppose 17 = 2*q - 29. Let d = q - 21. What is the remainder when 6 is divided by d?
0
Let x = 12 + -3. Suppose -o - 4*s - 8 = 0, -3*s + x = o + o. Calculate the remainder when o is divided by 7.
5
Suppose 14 = -4*b + 194. Let r = 155 - 143. What is the remainder when b is divided by r?
9
Let x(c) = -5*c + 3 - 2*c**3 + 28*c - 4*c**2 - 17*c. Calculate the remainder when x(-4) is divided by 23.
20
Suppose 0 = -2*o - 3*o + 5. Let v be o - (-2 + -2) - 0. Suppose -195 = -5*i - 2*q - 0*q, 0 = v*i + 3*q - 200. What is the remainder when i is divided by 13?
11
Suppose 0*v - 3*v - 9 = 0. Let f = v + 6. Suppose 3*o + f - 21 = 0. Calculate the remainder when 16 is divided by o.
4
Suppose -2*y + y + 4*f + 124 = 0, 0 = -3*y - 4*f + 292. Suppose 0 = -4*j + y - 4. What is the remainder when 73 is divided by j?
23
Let n = -101 - -103. Calculate the remainder when n is divided by 2.
0
Suppose 16*a - 238 = 9*a. Calculate the remainder when a is divided by 12.
10
Let d = 16 + -15. What is the remainder when -1*d - (1 + -21) is divided by 5?
4
Let d(o) = 11*o - 10. What is the remainder when d(4) is divided by 9?
7
Let s = 2 - 2. Suppose s = -3*b + 5*n - 4, -8 = -3*b - 3*n + 4. Suppose -4*v - 107 = -5*d, 18 + 23 = b*d - v. Calculate the remainder when 55 is divided by d.
17
Let c be (2/(-2) + 1)*1. Suppose 0*a + a - 15 = c. Calculate the remainder when a is divided by 8.
7
Let c = 42 - 15. Let g = 44 - c. Suppose 3*m - 4*i - 52 - 90 = 0, 5*m - i - 248 = 0. Calculate the remainder when m is divided by g.
16
Let k(j) = j**3 + j**2 + 3. What is the remainder when k(2) is divided by 8?
7
What is the remainder when 5 + -3 + (49 - 4) is divided by 6?
5
Let v(j) = -6*j**3 + 25*j**2 - 8. Calculate the remainder when ((-28)/(-6))/(2/12) is divided by v(4).
4
Let y(h) = -h**2 - 8*h + 2. Suppose -3*p = -3*b - 27, -5*p = -0*b + b - 21. What is the remainder when p is divided by y(-8)?
1
What is the remainder when 63 is divided by ((-8)/(-2) - 2)*11?
19
Suppose -4*j + 4*q - 42 = 26, 12 = -4*q. Let p = 31 + j. Let k(x) = 29*x + 2. What is the remainder when k(1) is divided by p?
9
Let t = 31 - 27. Suppose 4*s - 3*s = 1. Calculate the remainder when 2*(1 + 3 - s) is divided by t.
2
Suppose -5*w = -3*o - 149, 3*o = -3*w - 0*w + 75. Let j(z) = 9*z**2 - z. Let g = 4 - 5. Calculate the remainder when w is divided by j(g).
8
Suppose 4*y + 5*f - 360 = 0, -4*y = -3*y - 4*f - 69. Suppose -2*o + y = 3*o. What is the remainder when o is divided by 6?
5
Let u = -117 - -204. Suppose d + 32 = 2*j, -5*j + 0*d + u = d. Calculate the remainder when j is divided by 6.
5
Suppose 3*y = 2*p - 95, 4*y - 83 = -2*p - 23. Suppose -j + p = r, 5*r - 3*j + 54 = 230. Calculate the remainder when r is divided by 13.
11
Let a(k) = k**3 + 4*k**2 - 7*k - 7. Let i be a(-5). Suppose 4*w - 19 + 57 = 5*g, 0 = i*w - 9. What is the remainder when (-1)/(-5) - (-388)/10 is divided by g?
9
Let j(q) = 5*q. Let h be j(-7). Let r = h - -72. Calculate the remainder when r is divided by -3*((-32)/6 - -1).
11
What is the remainder when 13/65 + 334/5 is divided by 23?
21
Let w(z) = z + 20. Calculate the remainder when 57 is divided by w(0).
17
Let l = 177 - 81. Suppose 0*y = -3*y + l. What is the remainder when y is divided by 11?
10
Let z = 32 - 7. Calculate the remainder when z is divided by 9.
7
Let z be 205*-1 + -1 - 0. Let h be 4/(-6) + z/6. Let i = h - -56. What is the remainder when i is divided by 11?
10
Suppose 5*r - 6*r = 4. Let t be r/(-14) - 114/(-42). Suppose -6 = -t*a + 6. What is the remainder when 13 is divided by a?
1
What is the remainder when (46/6)/(6/18) is divided by 6?
5
Let c be 1/8 - 1/8. Let y = c + 19. Calculate the remainder when y is divided by 10.
9
Let r = -1 - -1. Suppose 4*d - 3*k = 15, -k + 5 = 2*d - r*k. Suppose 2*w = -w + 6. What is the remainder when d is divided by w?
1
Suppose 85 + 22 = b. Calculate the remainder when b is divided by 27.
26
Let p = 331 - 216. What is the remainder when p is divided by 13?
11
Suppose 24*q = 25*q - 41. Calculate the remainder when q is divided by 22.
19
Let c be 903/12 - 2/8. Suppose -n + c = 4*j, 0 = -0*j - 5*j + 3*n + 81. Calculate the remainder when 34 is divided by j.
16
Let a = 0 + -111. Suppose -b + 10 + 8 = 0. Calculate the remainder when b is divided by a/(-12) - (-3)/4.
8
Suppose -4*s + 37 = z, -z + 33 = 4*s + s. What is the remainder when 157 is divided by z?
51
Let k = 161 - 129. What is the remainder when 126 is divided by k?
30
Suppose -5*a + 41 = -24. What is the remainder when a is divided by 6?
1
Let i(q) be the third derivative of -3*q**4/8 + q**3/3 - 3*q**2. Let d(r) = r**2 + 3*r - 3. Calculate the remainder when i(-2) is divided by d(-5).
6
Let q = -1 - -18. What is the remainder when 166 is divided by q?
13
Calculate the remainder when -73*(-4 + 4 - 1) is divided by 25.
23
Let h(x) = -x**3 + 12*x**2 + 5*x - 11. Suppose d + 1 - 18 = 0. Calculate the remainder when h(12) is divided by d.
15
Suppose 316 = 5*k + f - 30, 4*k - 268 = -3*f. Suppose -3 = -5*w + 17. Suppose 2*n - 40 = -w. Calculate the remainder when k is divided by n.
16
Let r(h) = -h**2 + h**2 + 35 + h**2. Calculate the remainder when r(0) is divided by 9.
8
Suppose -18 = 2*q - 48. Suppose m + m - 4 = 0. Suppose -5*s + n = -m*n - 206, -3 = -n. What is the remainder when s is divided by q?
13
Let r(u) = -u**3 + 10*u**2 - 11*u - 8. Let p be r(8). Let o = p - -38. Suppose 0 = -z + 6*z - o. What is the remainder when 41 is divided by z?
13
Suppose 2*r = 5*y - 76, 2*y = -3*y + 4*r + 82. Let m(g) = -9*g + 4. Calculate the remainder when m(-4) is divided by y.
12
Let r be ((-12)/(-10))/((-9)/(-120)). Suppose -q + r = s, 2*q - 23 = 2*s - 3. Calculate the remainder when 37 is divided by q.
11
Let d = 6 - -14. Suppose 0 = -v - 3*v + d. Let t = -17 + 26. Calculate the remainder when t is divided by v.
4
Let n(j) = -2*j**3 + 0*j**3 - j + 4 + 3*j**3 + 7*j**2. Let z be -5 - -5 - 7/1. What is the remainder when 32 is divided by n(z)?
10
Suppose 0 = -4*x + k - 23 + 58, k = 3*x - 25. What is the remainder when x is divided by 7?
3
Let j(q) = 3*q - 13. Let o = -11 + 18. What is the remainder when j(11) is divided by o?
6
S