 60, -4*i + 74 = 2*z + 10. What is the remainder when z is divided by 15?
13
Suppose 77 = 10*v - 93. Calculate the remainder when 219 is divided by v.
15
What is the remainder when (7/(105/(-10)))/(2/(-417)) is divided by 48?
43
Suppose -t = -10*t + 63. Let p be -40 + 1 + 2 + -1. What is the remainder when (6/4 + -2)*p is divided by t?
5
Suppose -5*v - 27 + 127 = 0. Suppose -2*u + 59 = -u. Calculate the remainder when u is divided by v.
19
Let q(c) = c**3 + 8*c**2 + 8*c + 10. Let m be (-1 + 1)/2 + -7. Let h be q(m). Let o = h + 36. What is the remainder when o is divided by 20?
19
Let u(j) = -5 + 1 + 7 + 7*j. Let m be u(-3). Calculate the remainder when 10/(-45) + (-508)/m is divided by 10.
8
Let y(u) = 2*u**2 + 29*u + 17. Calculate the remainder when y(-14) is divided by 2.
1
Let y(k) = k - 4. Let a be y(3). Let f(q) = -6*q**3. Let v be f(a). Let i = 14 - v. What is the remainder when i is divided by 3?
2
Let t(q) = q**2 - 8*q + 6. Let a be t(8). Suppose 0 = -u + 9 + a. Calculate the remainder when u is divided by 8.
7
Suppose -2*y + 12 + 40 = 0. Let u = y + -53. Let v = u - -76. Calculate the remainder when v is divided by 17.
15
Suppose -l + 72 + 101 = 3*y, -2*l - 167 = -3*y. Calculate the remainder when y is divided by 15.
12
Let z(a) = -3*a - 18. What is the remainder when 29 is divided by z(-7)?
2
Suppose x = 3*x - 98. What is the remainder when x is divided by 13?
10
Let a = 279 - 257. Let v(i) be the third derivative of -i**6/120 - i**5/60 - i**4/8 - i**3/3 + i**2. What is the remainder when a is divided by v(-2)?
6
Suppose 3*m = 4*t - 248, m + 4*t = 3*m + 168. Suppose 4*k + 4 = 44. Calculate the remainder when k is divided by m/(-14) - 22/(-77).
4
Let d = 77 - 41. Let t(s) = -s**2 + 13*s - 11. What is the remainder when d is divided by t(10)?
17
Let h = 14 + -7. Suppose -4*n + 128 = -2*c, -h*n + 2*n + c + 157 = 0. Let m(v) = -10*v**3 + 2*v**2 - 1. Calculate the remainder when n is divided by m(-1).
9
Let k = 1 + 0. Suppose -5 = -l - k. Suppose l*i = 2*t + i - 61, -4*t + 87 = i. What is the remainder when t is divided by 12?
11
Suppose -38*p + 34*p + 168 = 0. What is the remainder when 165 is divided by p?
39
Let p = 29 + 13. Let i(d) = -d**3 - 3*d**2 - 4*d - 1. What is the remainder when p is divided by i(-3)?
9
Suppose 2*t = 5*f + 32, -5*t - 5*f + 8 = -2. Let a = 17 - 16. Calculate the remainder when 7 is divided by 1 - a/((-2)/t).
3
Suppose 4*j + h = -172, 0*j + 3*j + 118 = 2*h. Let o = 73 + j. What is the remainder when o is divided by 8?
7
Let r(o) = o**3 + 6. Calculate the remainder when (-19)/3*-3 - (-1 - 2) is divided by r(0).
4
Let j(o) = 2*o - 1. Let r(t) = 6*t - 4. Let c(g) = 16*j(g) - 5*r(g). What is the remainder when 48 is divided by c(3)?
8
Let k = 18 - 20. What is the remainder when 64 is divided by (-54)/(-3) + k + 1?
13
Suppose -j - 4*j + 15 = 0. Suppose d = -4*m + 3*d - 16, 0 = m + 2*d - 6. Calculate the remainder when 7*(-1)/(m/2) is divided by j.
1
Let d be ((-14)/10 - -1)*-5. Suppose d*a = -a + 165. What is the remainder when a is divided by 14?
13
Let p(j) = -19*j - 1. What is the remainder when 68 is divided by p(-1)?
14
Suppose -5*o - 2*d + 38 + 0 = 0, -4 = 2*o - 4*d. What is the remainder when 208/o + (-1)/(-3) is divided by 18?
17
Suppose 0 = 2*a + 3 - 13. Suppose 2*w - 4*l = a*w - 44, 0 = 4*w - 3*l - 42. What is the remainder when 21 is divided by w?
9
Suppose -2*j - 3*n = -2 + 6, 4*j + 3*n + 20 = 0. Let h = 15 + j. What is the remainder when h is divided by 2?
1
Let r(c) = c**2 - c + 5. Let t be r(4). Suppose 4*b + 14 = -u + 3, b = 5*u + 139. Let o = t - u. What is the remainder when o is divided by 15?
14
Let h(c) = -277*c + 2. Let r be h(-3). Calculate the remainder when (-2)/(-6) + r/21 is divided by 14.
12
Let c(y) = -4*y**2. Let p be c(1). Calculate the remainder when (42/(-35))/(p/50) is divided by 9.
6
Let y(a) = a**3 - 4*a + 17*a**2 + 10 + 2*a**2 - 12*a**2. What is the remainder when y(-7) is divided by 10?
8
Let a(g) = 5*g**2 - 3*g - 1. Let d(c) be the second derivative of -c**3/3 - 5*c**2 + c. Let b be d(-7). Calculate the remainder when a(b) is divided by 23.
21
What is the remainder when 54 is divided by (-1 + (-1 - -3))*(-135)/(-9)?
9
Suppose 4 = 3*v - 68. What is the remainder when 71 is divided by v?
23
Let q = 5 - 4. Let l be 1*18/(0 + q). What is the remainder when 2 is divided by (2/6)/(3/l)?
0
Suppose r = 3*r - 54. What is the remainder when 134 is divided by r?
26
Suppose -m = 2*z - 37, 2 = z - m - 12. Let v(x) = -5*x - 1. Let h be v(-1). Let j = h + z. What is the remainder when 62 is divided by j?
20
Let g(v) = 4*v**2 - 8*v. Calculate the remainder when 22 is divided by g(3).
10
What is the remainder when 13 is divided by 5*(0 + 0 + 1)?
3
Let o be ((-4)/6)/(1/21). Let d be 16/7 - (-4)/o. Suppose 0 = d*k + k - 18. Calculate the remainder when 17 is divided by k.
5
Suppose -11 = 3*u + 4*s + 5, -4*u - s = 4. Suppose u = q - 24 + 3. Suppose -w - 11 = -2*w. Calculate the remainder when q is divided by w.
10
Let k be 18/(-2) - (2 + 0). Let o = k - -16. Calculate the remainder when o is divided by 2.
1
Suppose 10 + 5 = -q. Let u = q - -42. What is the remainder when u is divided by 7?
6
Let w = -4 - -9. Let v = -1 + w. Suppose -3*f = -3*x, -3*x = -5*f + f + v. Calculate the remainder when 11 is divided by x.
3
Suppose 6*u - 3*u + 3*x - 69 = 0, 0 = -3*u + x + 49. What is the remainder when u is divided by 5?
3
Let n be -15*8/(-12) + -2. Suppose n = 3*b - 2*b. Calculate the remainder when 30 is divided by b.
6
Let r(u) = 14*u + 1. What is the remainder when 55 is divided by r(1)?
10
Let j(w) = -4*w + 4. Suppose r + 39 = 6*q - 2*q, -2*q - 4*r = -6. What is the remainder when j(-3) is divided by q?
7
Let m(y) = 3*y**2 + 2*y. Calculate the remainder when 29 is divided by m(2).
13
Let w = 34 - -27. Let r = w - 35. Let b(z) = z**2 - 6*z - 2. What is the remainder when r is divided by b(8)?
12
Suppose 12 = 3*a, 0 = -5*q - 3*a - 30 + 107. What is the remainder when 21 is divided by q?
8
Suppose 0*y = -5*y + 60. What is the remainder when 33 is divided by y?
9
Let x(y) = 3 + 33*y**2 - 8*y**2 - 2. What is the remainder when x(1) is divided by 14?
12
Suppose 5 = -4*c + 41. Let y be -58*2*2/8. Let g = -4 - y. Calculate the remainder when g is divided by c.
7
Suppose -4*m = -m - 15. Suppose -m*d = 4*b - 136, -61 = 3*b + 3*d - 166. Calculate the remainder when b is divided by 10.
9
Suppose -i + 98 = 5*y, 2*y - 2*i + 16 = 3*y. What is the remainder when (-2352)/(-30) + 4/(60/9) is divided by y?
19
Suppose -3*j - 2 = -14. Calculate the remainder when -68*((-6)/j)/3 is divided by 9.
7
Suppose -4*c = c - 35. Suppose -l + c = -34. What is the remainder when l is divided by 14?
13
Suppose -17*f + 13*f + 132 = 0. What is the remainder when f is divided by 17?
16
Let p = 116 - 80. Suppose 2*n - 4*n + p = 0. Calculate the remainder when n is divided by 10.
8
Suppose -6*u = -10*u + 336. What is the remainder when u is divided by -1 + -1 + (-62)/(-2)?
26
Let u(b) = -2*b + 4. Let s be u(5). Let i(h) = -h**3 - 5*h**2 - h - 1. Calculate the remainder when i(s) is divided by 14.
13
What is the remainder when (24/(-4))/6*-31 is divided by 11?
9
Let s = 19 + -17. Suppose 2*n = s, -2*u + 5*n - n + 8 = 0. Calculate the remainder when 21 is divided by u.
3
Let w = 1 + 4. Suppose w*s = -2*a + 12, 3*s = -s + 5*a + 3. Suppose -t - s*t = -27. Calculate the remainder when 24 is divided by t.
6
Suppose -61 = -5*s + 14. Let x(k) = k**2 + 2*k - 5. Let t be x(-4). Suppose -185 = -0*j - 4*j + 3*l, -9 = t*l. Calculate the remainder when j is divided by s.
14
Let r(b) = b**2 - 16*b + 8. What is the remainder when 31 is divided by r(16)?
7
Let q = 56 + -91. Calculate the remainder when 13 is divided by -2*1*q/10.
6
Let t(s) = s**2 - 4*s - 7. What is the remainder when t(-4) is divided by 7?
4
Suppose 67 = -4*z + 5*t - 0*t, -3*z - 51 = -4*t. Let h be z - (4 - -2)/(-3). Let w = 16 + h. What is the remainder when 13 is divided by w?
3
Suppose 2*i + 5 = 3*i. Suppose q + 10 = 2*q + c, -2*q = -i*c - 48. Suppose o - q = -4. Calculate the remainder when 29 is divided by o.
9
Let p be 6/(1/(12/8)). Let d(f) = f**3 - 9*f**2 + 8*f - 13. Suppose 0 = 2*q - i - 36, -2*q - i = 3*q - 104. Calculate the remainder when d(p) is divided by q.
19
Let b be