t o = 4 + r. What is the remainder when 22 is divided by o?
10
Suppose 8*u - 3*u + 81 = 4*q, u - 37 = -3*q. Suppose 3*g + 59 = 176. Calculate the remainder when g is divided by q.
11
Suppose -4*l + 8 + 25 = 5*b, -26 = -3*l - 4*b. What is the remainder when ((-6)/2 + l)*-23 is divided by 12?
11
Suppose 4*n + 2*s - 96 = 0, -5*n + s - 46 + 159 = 0. What is the remainder when 89 is divided by n?
20
Let t(g) = -g**2 - 18*g + 25. What is the remainder when t(-12) is divided by 25?
22
Suppose 2 - 19 = -f. Suppose -3 - f = -s. What is the remainder when s is divided by 11?
9
Let q(i) = 42*i**3 + 6*i**2 - 4*i + 5. Let p(d) = 42*d**3 + 5*d**2 - 3*d + 4. Let t(v) = -5*p(v) + 4*q(v). Calculate the remainder when t(-1) is divided by 15.
12
Let x(n) = -n - 4. Calculate the remainder when x(-11) is divided by 4.
3
Suppose 0 = 7*k - 3*k + 3*g - 148, -185 = -5*k + 3*g. What is the remainder when k is divided by 20?
17
Suppose 0 = i + 2, -3*w = 3*i - 8 + 2. Suppose -a = w*a - 20. Suppose -39 = -3*u - 6. Calculate the remainder when u is divided by a.
3
Suppose 10 + 14 = 3*q. Let w(f) = -f**2 + 10*f - 13. Let z(p) = p + 4. Calculate the remainder when z(0) is divided by w(q).
1
Let i(t) = t**2 - 13*t + 58. Calculate the remainder when 45 is divided by i(7).
13
Suppose -4*r + 11 = 3*l, -r = -5*l + 3*l. Suppose 2*q + j = r*j + 1, -5*j = -5*q - 5. Suppose -16 = -i - 3*i. Calculate the remainder when i is divided by q.
0
Let g(p) be the third derivative of -p**4/12 - p**3 + 7*p**2. What is the remainder when 22 is divided by g(-7)?
6
Suppose u - 8 = 3*u. Calculate the remainder when (-63)/(-5) - u/10 is divided by 8.
5
Let p(a) = 30*a**2 - a. Let t be 4/(-4)*(-1)/1. Calculate the remainder when p(t) is divided by 15.
14
Suppose 2*c + 0*w = w + 5, 5*w + 5 = 0. Suppose 0 - 16 = -c*h. What is the remainder when 23 is divided by h?
7
Let h = -78 + 80. Let n(y) = -y**2 - 8*y - 3. Calculate the remainder when n(-7) is divided by h.
0
Let r(j) = -j**2 + 8*j + 2. Suppose 0 = 5*k - 38 - 32. Suppose k = -3*v + 92. What is the remainder when v is divided by r(6)?
12
Let p(k) = k**2 - k + 3. Let c = -5 - -10. Calculate the remainder when p(c) is divided by (6 - -1) + (-10 - -11).
7
Let c(j) = 2*j + 53. Calculate the remainder when c(0) is divided by 11.
9
Calculate the remainder when 1/(-1) - (-42 + -7) is divided by 17.
14
Suppose -4*t = -3*d - 5*t + 22, 2*d - 4*t = -4. What is the remainder when 22/2*(15 + -14) is divided by d?
5
Let d = 1 + -2. Let r(v) = -v**2 + 14*v - 9. Calculate the remainder when 2*-1*3*d is divided by r(13).
2
Let i(a) = -3*a + 15. What is the remainder when 6 is divided by i(4)?
0
What is the remainder when 161 is divided by -63*((-280)/330 + (-2)/(-11))?
35
Let a(s) = -7*s + 5. Let h = -8 + 5. What is the remainder when a(h) is divided by 9?
8
Suppose -a + 5*a - 112 = 0. What is the remainder when 110 is divided by a + 3/1 + -3?
26
Let p = 66 + -62. What is the remainder when ((-3)/(-2))/((-1)/(-6)) is divided by p?
1
Let t(a) = 4*a**2. Let y be (-4)/(-18) - 160/(-9). What is the remainder when 544/y + 6/(-27) is divided by t(-2)?
14
Let w(z) = -4*z - 70. Calculate the remainder when 7 is divided by w(-18).
1
Suppose -105 = -b + 4*a + 147, -4*a = b - 228. Suppose 3*x - 6*d + 2*d = b, 5*x - 4*d - 408 = 0. What is the remainder when x is divided by 29?
26
Suppose 8 = 3*m - 4. Let y(r) = 2*r. Let i(w) = -w. Let g(q) = -5*i(q) - 3*y(q). Calculate the remainder when m is divided by g(-2).
0
Let j = 17 + -13. Let y(d) = d**3 - 3*d**2 - d - 1. What is the remainder when 31 is divided by y(j)?
9
What is the remainder when 26 is divided by 1*8 + 0/24?
2
Suppose 4*j + 0*j + 62 = 5*l, 3*j + 22 = 2*l. Suppose -2*b + 5*i + 10 = -l, 2*i - 55 = -3*b. What is the remainder when b is divided by 10?
7
Suppose 2*w + 0*j + 3*j - 29 = 0, 5*w = -4*j + 83. Calculate the remainder when w is divided by 10.
9
Suppose 3*k + 4*v = 0, 2*k - v = -3*k - 23. Let q(b) = 2*b**2 - 5*b + 6. Calculate the remainder when (-1 - -1 - k)*13 is divided by q(4).
16
Let u = -170 - -293. What is the remainder when u is divided by 6?
3
Let x(i) = 21 - 7 - 3*i**2 + 2*i**3 - 11. What is the remainder when x(3) is divided by 8?
6
Let m(s) = s**3 + 8*s**2 - 10*s + 6. What is the remainder when 44 is divided by m(-9)?
14
Let h = -1 - 1. What is the remainder when h*2*(-51)/12 is divided by 9?
8
Let l = 14 - 8. What is the remainder when 28 is divided by l?
4
Let d(i) = i**2 + 6*i + 1. Let l be d(-5). Let b = 10 + -4. Calculate the remainder when 20 is divided by (21/b)/((-2)/l).
6
Let q(a) = -27*a - 1. Let k(d) = 2*d - 14. What is the remainder when q(-2) is divided by k(14)?
11
Let w(s) = -s**2 - 7*s - 2. Let j be w(-5). Calculate the remainder when 3/6*j + 45 is divided by 13.
10
Let b(q) = -7*q - 9*q**2 + 2*q - q**3 - 4*q. Calculate the remainder when (-4)/8*-4*7 is divided by b(-8).
6
Let g be 4/(-10) + 516/15. Let w = g - 15. Suppose 7 = 4*y - 21. Calculate the remainder when w is divided by y.
5
What is the remainder when -4 + 11/((-11)/(-26)) is divided by 8?
6
Let n(t) = t**2 - 17*t. Let v be n(17). What is the remainder when 1 + 13 + v/(-6) is divided by 6?
2
What is the remainder when 22 is divided by ((-1)/2)/((-5)/130)?
9
Calculate the remainder when 7540/91 + 1/7 is divided by 14.
13
Suppose 1 - 15 = -2*a. Calculate the remainder when 9/(-3) - -5 - (-35 + 4) is divided by a.
5
Let i(n) = -19*n + 19. What is the remainder when i(-4) is divided by 33?
29
Suppose 4*k - 24 = k. Suppose -n - k = -2*n. Suppose n*w + 5*q = 3*w + 15, 3*w - 41 = 5*q. Calculate the remainder when 20 is divided by w.
6
Suppose 3 + 12 = 3*n. Suppose n*a - 66 = 54. Suppose q = -z - 2*q + 4, 0 = -5*q - 15. Calculate the remainder when a is divided by z.
11
Suppose -3*v + 126 = -4*v. Let b be v/(-27) - 2/3. Suppose -b = 5*y - 59. Calculate the remainder when 20 is divided by y.
9
Let o = -15 - -32. Suppose 187 = 3*p + 4*g - 6*g, 4*p - 2*g = 252. What is the remainder when p is divided by o?
14
Suppose 4*a + 4*w = -0*w + 68, -5 = 5*w. What is the remainder when a is divided by 7?
4
Let l be 115 + -2 + -2 - 3. Suppose -8*n + l = -5*n. Calculate the remainder when n is divided by 13.
10
Let b(l) = -3*l**3 + l**2 + 2*l + 1. Let f be b(-1). Suppose q + 16 = 4*z - q, 2*q - 26 = -f*z. Calculate the remainder when 21 is divided by z.
3
Let v = -19 - -22. Suppose -j - 4*j + 17 = -2*b, -b - v*j + 19 = 0. What is the remainder when 13 is divided by b?
1
Let k = 132 + -85. Suppose 2*c - c + 13 = 3*n, -3*n + 17 = -5*c. Suppose 3*a = 5*x - 74, 0*a - 3*a + 70 = n*x. What is the remainder when k is divided by x?
15
Suppose -19 = -5*k + 21. Let j = -1 + k. Calculate the remainder when j is divided by 4.
3
Let c = 10 - 19. Calculate the remainder when -2 + c/(-3) + 42 is divided by 11.
10
Let r = -9 + 15. Suppose 2*x - 40 = -4*z, 5*x = 5*z - 20 + 45. Calculate the remainder when 118/r - 2/3 is divided by x.
9
Let a(k) = 8 + 31*k + 12*k**2 - k**3 - 19*k + 9. Calculate the remainder when 14 is divided by a(13).
2
Let x(b) = b**2 + 15*b + 17. Calculate the remainder when 98 is divided by x(-16).
32
Let h(t) be the first derivative of -t**4/4 - 4*t**3/3 + t**2 - t - 1. Let g(b) = b. Calculate the remainder when h(-5) is divided by g(5).
4
Suppose 2*z = -0*z - 3*u + 27, -5*z - 2*u + 62 = 0. Let l(j) = -j**3 + 6*j**2 - 4*j + 6. What is the remainder when l(4) is divided by z?
10
Suppose -2*z - z - 5 = f, f - 1 = -z. Suppose 4 = f*g - 12. What is the remainder when (27/g)/(4/16) is divided by 14?
13
Let x = -14 + 63. Calculate the remainder when x is divided by 10.
9
Let l(n) = 2*n**3 + 15*n**2 + 5*n - 1. Calculate the remainder when 29 is divided by l(-7).
3
Let q be 2 + (-8)/(-2*1). Suppose 0 = 4*h - 3*h - q. What is the remainder when 10/((-1)/((-15)/h)) is divided by 9?
7
Let x(k) = -k**3 - 8*k**2 - 7*k. Let s be x(-7). Suppose -14 = -2*t + 2*o, s*t + 2*o + 23 = 3*t. What is the remainder when t is divided by 3?
0
Let l = 8 + -5. Suppose -5 = 2*t - l*t. What is the remainder when 13 is divided by t?
3
Let p(y) = y**3 + 8*y**2 + 8*y + 8. Let x be p(-7). What is the remainder when 18 is divided by (-2)/(-1) + x + 4?
4
Suppose -3*m + 8*m - 20 = 0. Let h = -28 + 43. What is the remainder when h is divided by m?
3
Calculate the remainder w