Calculate the remainder when x is divided by 38.
15
Suppose 278 + 312 = 10*q. What is the remainder when 228 is divided by q?
51
Suppose -r + 7 - 5 = 0. Suppose a - 6*a + 126 = -3*z, -z - 50 = -r*a. Let v = a + -23. Calculate the remainder when 5 is divided by v.
0
Suppose 0*o = -y + 3*o + 51, 307 = 5*y - 2*o. Let c = -19 + 35. Calculate the remainder when y is divided by c.
15
Suppose 0 = 47*d - 1722 - 7114. What is the remainder when d is divided by 49?
41
Let m = 3019 - 3018. What is the remainder when 3 is divided by m?
0
Let v = 205 - 194. What is the remainder when v is divided by 7?
4
Let w be ((-2)/(-4))/(2/(-96)). Let b(c) = c - 21. Let r be b(7). Let v = r - w. Calculate the remainder when 19 is divided by v.
9
Let o = -128 - -191. Suppose 0*u - o = -3*u. Let a = 26 + -14. Calculate the remainder when u is divided by a.
9
Let j(s) = -s + 17. Suppose i + 3*f + 13 = -10, 5*i + 2*f + 50 = 0. What is the remainder when j(i) is divided by 9?
7
Let z = 16 + -14. Suppose -z*p - 60 = -5*p. Suppose -5*q + 79 - 24 = 0. What is the remainder when p is divided by q?
9
Let m = 189 - 182. What is the remainder when (-2)/(-3) - (-74)/6 is divided by m?
6
Let a(u) = -73*u + 125. Calculate the remainder when 249 is divided by a(0).
124
Let b = 493 + -291. Calculate the remainder when b is divided by 12.
10
Let s = 551 + -529. What is the remainder when s is divided by 17?
5
Suppose -89*x + 837 = -62*x. Calculate the remainder when x is divided by 16.
15
Suppose u = 9*u. Suppose 2*k + 3*y - 348 = u, k = 5*y + 36 + 151. Calculate the remainder when k is divided by 12.
9
Let d = 767 + -718. What is the remainder when 144 is divided by d?
46
Suppose -2 = -3*w - 134. Let o = 54 - w. Calculate the remainder when o is divided by 20.
18
Let b = 265 - -268. What is the remainder when b is divided by 77?
71
What is the remainder when 643 + -85 + -1 + 0 is divided by 13?
11
Let q be 6/(-2 + 0) + (-527)/17. Let u = 72 + q. What is the remainder when u is divided by 14?
10
Let y = 4 + 28. Let t = y + -23. Suppose t*a = 4*a + 325. What is the remainder when a is divided by 22?
21
Suppose 528 = 23*f + 10*f. Calculate the remainder when 88 is divided by f.
8
Suppose -3*i = -i + 8, 3*i = -2*h - 8. What is the remainder when 24 is divided by h?
0
Let y(d) = d**3 + d**2 - 4*d - 4. Let q be y(-2). Suppose 0 = -3*s - q*s + 9. What is the remainder when s is divided by 2?
1
Suppose -4*m + 0*m + 6996 = 4*o, -4*o - m = -6987. Calculate the remainder when o is divided by 33.
30
Let k(z) = -120*z. Let w be k(-3). Suppose w = 5*h - 0*h. Suppose -u - 104 = -4*y, -u - 62 = -2*y + 2*u. Calculate the remainder when h is divided by y.
22
Let g(m) = 47*m - 107. Calculate the remainder when g(11) is divided by 59.
56
Suppose 2*x - 3*w - 26 = 3, 43 = 4*x - w. Let g = -64 - -40. Calculate the remainder when -2*(-3)/(-4)*g is divided by x.
6
What is the remainder when 6 - (32/8 - 54) is divided by 50?
6
Calculate the remainder when 795 is divided by (0 + 1)*((-2184)/(-13))/8.
18
Suppose 3*r - s + 25 = 0, 4*r + r = 5*s - 35. What is the remainder when (1 - 177/r) + (-4)/6 is divided by 6?
2
Calculate the remainder when (-57 + 35)*(-15)/2 is divided by 10.
5
Let q(j) = -j**3 + 26*j**2 - 23*j - 9. What is the remainder when q(25) is divided by 41?
0
Let u(j) = j**2 + j - 7. Let x be u(6). Let a = 18 - x. Let k = 26 + a. What is the remainder when 35 is divided by k?
8
Let y = -22 - -13. Let d be ((-14)/6)/((-1)/y). Let q = d + 31. Calculate the remainder when q is divided by 4.
2
Let g(a) = a**3 + 8*a**2 - 9*a - 11. Let u be (4/3)/((-2)/12). Calculate the remainder when g(u) is divided by 22.
17
What is the remainder when 7 is divided by (-2 + 0)/(13/(195/(-10)))?
1
Let n(g) = -132*g**3 - 2*g**2 - g + 1. Let d be n(-1). Suppose -2*q = 2*q - d. What is the remainder when q is divided by (-36)/14*(-8 - -1)?
15
Suppose -387 = -3*a + 126. Suppose -j = 4*j - m - 285, -a = -3*j + m. What is the remainder when j is divided by 20?
17
Suppose -h = -6*h + 370. Suppose -h + 8 = -6*v. What is the remainder when 20 is divided by v?
9
Let r = 14 - 0. What is the remainder when r is divided by -1*(-2 + -1 + (2 - 7))?
6
Suppose -5*f - 4*u = -22, 4*u + u - 15 = 0. Suppose 4*b = -0*z + 2*z - 22, -5*z + 55 = b. Calculate the remainder when z is divided by f.
1
Let b(o) = -11*o + 446. What is the remainder when b(40) is divided by 60/18 + (-1)/3?
0
Suppose 0 = -5*p - 0*p + 65. Suppose -6*z + 17 = -p. Suppose 0 = 2*n + 5*s - 115, -2*s + 178 = z*n - 2*n. What is the remainder when n is divided by 21?
18
Let a = 13 - 5. Let c(k) be the first derivative of k**3/3 - 8*k**2 + 31*k - 17. What is the remainder when a is divided by c(14)?
2
Let p(d) = 4*d**3 - 6*d**2 + 2*d + 6. Let i(q) = -q**3. Let w(n) = -5*i(n) - p(n). Calculate the remainder when 57 is divided by w(-5).
28
Suppose 0 = 5*q - b - 522, 4*q - 2*b + 130 = 550. What is the remainder when q is divided by 39?
26
Suppose -z + 7 = 5*u - 11, 21 = 3*u + 4*z. Suppose 2*p - s - 72 = -0*s, -4*p + 146 = -u*s. What is the remainder when 139 is divided by p?
34
Let x = -17 - 2. Let p(s) = 13*s**2 + 2*s + 1. What is the remainder when p(2) is divided by (-849)/(-57) - 2/x?
12
Let x = 0 + -12. Let y = x - -29. Let c = y + -5. Calculate the remainder when 21 is divided by c.
9
Let q = 42 + -25. Let a(p) = 2*p**3 + 7*p**2 - 4*p - 3. Let v be a(-4). Let o(j) = j**3 + 5*j**2 + j - 9. Calculate the remainder when q is divided by o(v).
5
Let d(f) = -f**2 - 18*f + 67. Calculate the remainder when 90 is divided by d(3).
2
Let j = 10 + -16. Let t(m) be the first derivative of -m**3/3 - 5*m**2 + 5*m - 41. Calculate the remainder when t(j) is divided by 8.
5
Let b(i) = -i + 16. Let c(r) = -r**3 + r + 2. Let q be c(0). Suppose 122 = q*t + 28. What is the remainder when t is divided by b(0)?
15
Let l(j) = 3*j - 32. Let t be l(13). Let a(y) = y**3 - 7*y**2 - y + 15. Let p = 50 - 13. What is the remainder when p is divided by a(t)?
5
Suppose -2*b + 57 = -73. Suppose -2*a + b = -k - 4*k, -2*a + k + 77 = 0. What is the remainder when a is divided by 11?
7
What is the remainder when -2 - (1/(-4) + (-382)/8) is divided by 31?
15
Let i(p) = -2*p**3 + p**2 - 3*p - 1. Let j be i(-3). Let n = 263 - 264. What is the remainder when (n - 2) + j/1 is divided by 10?
8
Let f be 96/(-8)*1/(-2). Suppose -f = -n + 52. Suppose v + v - n = 4*b, v + 5*b = 8. Calculate the remainder when 43 is divided by v.
20
Let a(k) be the second derivative of -67*k**5/10 - k**4/12 - 19*k. Calculate the remainder when a(-1) is divided by 27.
25
Let j(q) = q**2 - 27*q + 97. Let l(o) = o**3 + 4*o**2 + o. Let y be l(-4). Let g(w) = 2*w**2 + 4*w + 3. Calculate the remainder when g(y) is divided by j(4).
4
Let x = -6 - 4. Let a(k) = 2*k**2 - 4*k. What is the remainder when a(3) is divided by (30/(-50))/(2/x)?
0
Suppose -3*v + 64 - 19 = 0. Suppose 5*m = v, 5*c + 3*m = 4*m + 17. Calculate the remainder when c is divided by 1.
0
Let a(p) = 34*p**3 - 2*p + 1. Suppose 17 = 5*u - 3. Suppose u*d + 4 = 52. Calculate the remainder when a(1) is divided by d.
9
Let t = 129 + -94. Calculate the remainder when t is divided by 21.
14
Let o(s) = -5 - 7*s + 14 - 10 - s**2. What is the remainder when 24 is divided by o(-5)?
6
Suppose 0 = a - 2*n - 21, -n - 104 = -5*a + 28. What is the remainder when a is divided by 11/77 - (-1)/(14/96)?
6
Let b(t) = 2*t**3 - 61*t**2 - 25*t + 15. What is the remainder when b(31) is divided by 67?
0
What is the remainder when 656 is divided by (-6)/(-1)*(-45)/(-18)?
11
Suppose 3*r - 5 = 1. Suppose 5*o - r = 3. Calculate the remainder when 86 is divided by (-1)/o*(-30 - -8).
20
Let v = -27 - -36. Calculate the remainder when 0 + 1 + 30 + v is divided by 15.
10
Suppose 0 = -4*p - 0*p + 96. Suppose -14*j + 17*j - p = 0. Calculate the remainder when 23 is divided by j.
7
Let c(m) = m**3 - 1. Let q be c(1). Suppose -5*r + r + 16 = q. Suppose -2*p = -5*v + 3, -v + 0 = r*p - 27. Calculate the remainder when 10 is divided by p.
4
Suppose 2*l = -l + 87. Suppose -5*x + 99 = 4*x. Suppose x = -0*i + 2*i + q, -2*q = 2*i - 10. What is the remainder when l is divided by i?
5
Let s = 336 - 334. Let w = 20 - 16. What is the remainder when w is divided by s?
0
Let s(t) = -t**3 - 5*t**2 - t. What is the remainder when 1