e 0 = 4*u + 4*p + 4, 1 = f*u + 5*p. What is the remainder when (u + -25)*1*-1 is divided by 11?
9
Suppose 2*w = -2*p - 0*w + 94, 3*p - 116 = 2*w. What is the remainder when p is divided by 23?
19
Suppose 9*m = -o + 4*m - 21, 0 = 3*o - m - 1. Let f(s) = -23*s**3 + s + 1. Let p = 136 - 91. What is the remainder when p is divided by f(o)?
22
Suppose 2*w - 16 = 38. Let p = 3 - -12. What is the remainder when w is divided by p?
12
Let w = 54 - 47. Calculate the remainder when 11 is divided by w.
4
Suppose 7 - 12 = -b. What is the remainder when 19 is divided by b?
4
Calculate the remainder when (-5)/10 + 1124/8 + -1 is divided by 20.
19
Suppose -2 = 2*c - 12. Suppose p - 4*p + 4*n = -82, -2*n = c*p - 102. What is the remainder when 42 is divided by p?
20
Let w(d) = -d**3 + 5*d**2 - 5. Let k be (-4)/(-5) + (-6)/(-5). Suppose 2*z - 8 + k = 0. Calculate the remainder when w(4) is divided by z.
2
Let q be (19 - 0/1)*9. Suppose 19 = f - 4*h, -h - q = -4*f - f. Let c(x) = -x + 9. What is the remainder when f is divided by c(0)?
8
Suppose -2*p + 4*c = -128, -5*p + c = -c - 352. Calculate the remainder when p is divided by 25.
22
Let n(f) = -f - 1. Let j(w) = -14*w**2 + w - 20*w**2 + 6*w**2 + 4. Let q(r) = -j(r) - 3*n(r). What is the remainder when q(1) is divided by 10?
9
Suppose -5*x + 60 + 333 = 2*w, 158 = 2*x + w. What is the remainder when x is divided by 20?
17
Let u = -78 + 123. Let o(c) = -c**2 + 10*c - 9. What is the remainder when u is divided by o(7)?
9
Suppose -6 = 2*a, 14 = -r - a - 3*a. What is the remainder when 18 is divided by r/(8/(-14))*2?
4
Suppose 3*x = 6*x - 198. What is the remainder when x is divided by 23?
20
Let t(j) = j**3 + 6*j**2 - 6*j + 10. Let i(a) = -a - 4. Let w be i(3). Calculate the remainder when 9 is divided by t(w).
0
Suppose y - 11 = -3*o, 2*o - o = 4*y - 18. Suppose 3*n = -4*b - 69 - 11, o*b = -2*n - 54. Let f = 52 + n. What is the remainder when f is divided by 13?
11
Suppose -4*j + 17 = -c, -21 = -5*c - 6. What is the remainder when 34 is divided by j?
4
Let m(j) = -j + 23. Let i(a) = -a**3 - 4*a**2 + 2. Let z be i(-4). Suppose -6*r = -z*r - 148. Calculate the remainder when r is divided by m(10).
11
Let x be 2/(-5) + (-8)/(-20). Suppose 5*s + l = -x*l + 127, 3*s + 4*l = 66. What is the remainder when s is divided by 9?
8
Let f be 520/72 + (-4)/18. Let l = 0 - f. Calculate the remainder when 22 is divided by 1/(((-14)/16)/l).
6
Suppose 0 = 7*w - 2*w + 20, -2*b + 96 = -2*w. Suppose -7*a = -3*a - b. What is the remainder when 31 is divided by a?
9
Let y = -234 + 255. Suppose w + 318 = 4*n + 6*w, 0 = n + 4*w - 74. What is the remainder when n is divided by y?
19
Suppose 4*c + 2*q = 12, -2*q = 5*c - 5*q - 15. Let u be 1 + 1 - -12 - 2. Let i = u + -8. Calculate the remainder when i is divided by c.
1
Let t(i) = -i**3 - 9*i**2 + 5*i + 10. Let l be t(-7). What is the remainder when ((-8)/(-6))/((-2)/l) is divided by 21?
19
Suppose -5*f = -f + 104. What is the remainder when 63 is divided by (f/(-6) + 1)*3?
15
Suppose -4*j = -3*j + 4. Calculate the remainder when 8/j*-4*5 is divided by 21.
19
Let b(m) be the third derivative of -m**6/120 + 2*m**3 - m**2. Let h(v) = v + 16. What is the remainder when h(19) is divided by b(0)?
11
Suppose 7 = r - 3. What is the remainder when (-735)/(-25) - 4/10 is divided by r?
9
Let i = 11 - 7. Suppose -2*g - 2*g = -4*q - 28, -3*g + 19 = -i*q. Let n = -5 + 21. Calculate the remainder when n is divided by g.
7
Let j(q) = 17*q + 9. Calculate the remainder when j(4) is divided by 26.
25
Let n = 113 - 69. What is the remainder when n is divided by 15?
14
Suppose -111 = -10*z + 69. Let k(s) = 14*s - 3. Calculate the remainder when k(4) is divided by z.
17
Suppose -3*u + n + 118 = 21, 4*u = -4*n + 140. What is the remainder when u is divided by 12?
9
Calculate the remainder when 59 is divided by (17/(51/18))/(4/14).
17
What is the remainder when 2/(-2) - 324/(-4) is divided by 27?
26
Let v = 27 + -13. What is the remainder when 26 is divided by v?
12
Let s = -16 - -6. Let c be (-36)/(-10) + (-4)/s. Suppose 0 = 3*y + 3*w + 3 - 24, -c*y + 5*w + 1 = 0. What is the remainder when 14 is divided by y?
2
What is the remainder when (-4)/(-6) + (-4693)/(-57) is divided by 28?
27
Let t(p) = -p**2 + 6*p - 4. Calculate the remainder when t(4) is divided by 1.
0
Suppose -1 = 3*w + 5. Calculate the remainder when ((-1)/(-4))/(w/(-248)) is divided by 8.
7
Let z be (2/3)/((-1)/(-6)). Suppose -4*g + 16 = -z*d, -5*g + 3*d + 6 + 14 = 0. What is the remainder when g + -6 - -1*5 is divided by 2?
1
Let y = 40 - 24. Let q(t) be the first derivative of t**4/4 - t**3/3 + 3*t**2/2 - t + 4. Calculate the remainder when y is divided by q(2).
7
Let a(k) = k**2 - 5*k + 22. What is the remainder when a(9) is divided by 21?
16
Suppose -2*b + 3*b = -6. Let j(v) = -v**3 - 6*v**2 - 4*v - 9. What is the remainder when j(b) is divided by 6?
3
Suppose -5*p = 3*f + 12, -4*f - f - p = 20. Let i = f + -10. Let m = i + 28. Calculate the remainder when 41 is divided by m.
13
Suppose 0 = 2*p + 5*c - 150 - 45, 0 = 4*p + 5*c - 385. Suppose -35 + p = 4*u. Calculate the remainder when 27 is divided by u.
12
Suppose 3*j + 4*t - 19 = 307, j = t + 97. Calculate the remainder when j is divided by 27.
21
What is the remainder when 1 + (-1)/1 + 252/42 is divided by 4/(-10) + (-12)/(-5)?
0
What is the remainder when 94 is divided by (0 + -2)/(6/(-72))?
22
Suppose 2*p - 209 = -29. Let m = p + -47. Calculate the remainder when m is divided by 22.
21
Suppose 11 = 2*x - 3. Let q = 18 + x. What is the remainder when q is divided by 14?
11
Let f(v) = 1. Let w(k) = -k**2 - 3*k + 3. Suppose -3*b + 0*b = -12. Let x(y) = b*f(y) - w(y). Calculate the remainder when x(-5) is divided by 6.
5
Let t(b) = -b**2 - 8*b - 1. What is the remainder when t(-6) is divided by 7?
4
Let b = -15 - -21. Calculate the remainder when 17 is divided by b.
5
Suppose -3*l = -f - 5 + 21, 108 = 3*f + 3*l. Let u(y) = y**3 + 15*y**2 - 3*y - 34. Calculate the remainder when f is divided by u(-15).
9
Suppose -3*x - 125 = -2*a, -a - 3*a - 2*x + 226 = 0. Calculate the remainder when a is divided by 20.
18
Let x(a) = 2*a**2 + 11*a - 5. Calculate the remainder when x(-8) is divided by 9.
8
Let f(g) = -g**2 + g - 1. Let k(w) = 4*w**2 - 6*w - 3. Let c(t) = -3*f(t) - k(t). Calculate the remainder when c(3) is divided by -1 - 3/(1*-1).
0
Let r(x) = -3 - x + 2*x**3 + 0*x**3 - 3*x**3 - 3*x**2. Let c be r(-3). Suppose 3*q - 7 - 2 = c. What is the remainder when 7 is divided by q?
1
Let m(h) = 2*h**2 - 10*h + 4. Let g be m(7). Suppose -2*j = 5*k - g, -2*j + 48 = -0*k - 3*k. Let n = -33 + 95. Calculate the remainder when n is divided by j.
20
Suppose -4*u - 6*d = -3*d - 28, 4*u - 28 = 2*d. Let k = 26 + -8. Calculate the remainder when k is divided by u.
4
Suppose -b = 1, x + 46 = 4*x + 2*b. Calculate the remainder when 42 is divided by x.
10
Suppose -5*c = 4*d - 133, 4*c = -0*c + 2*d + 122. Let j be (3/9)/((-1)/(-9)). Suppose -2*o + j*o = 10. Calculate the remainder when c is divided by o.
9
Let f(u) = -10*u - 47. Suppose 3*q = -0*q + 147. What is the remainder when q is divided by f(-6)?
10
Suppose -q - 2*q = 4*x - 221, -3*x + 153 = -2*q. Calculate the remainder when x is divided by 18.
17
Suppose -c = 0, -2*u + 10 = 2*c - 4. Calculate the remainder when u is divided by 2.
1
Let n(d) = d**3 - 9*d**2 + 21*d - 17. What is the remainder when n(8) is divided by 11?
10
Suppose 8*g = 4*g - 20. Let w(t) = -5*t - 11. Let k(i) = -i - 1. Let v(a) = 4*k(a) - w(a). What is the remainder when 2 is divided by v(g)?
0
Suppose 129 = 6*x - 3*x + 2*a, 0 = 2*x - 3*a - 73. Calculate the remainder when 158 is divided by x.
35
Let f(u) = 80*u + 1. Let r be f(-1). Let t = 131 - 244. Let x = r - t. What is the remainder when x is divided by 12?
10
What is the remainder when 55 is divided by (-18 + 17)/(2/(-38))?
17
What is the remainder when 11 is divided by -7*(-2)/(0 + 2)?
4
Suppose 0 = -3*l - 3, l - 26 = b + 14. Let d = b - -97. Calculate the remainder when d is divided by 29.
27
Let x = -33 + 83. Calculate the remainder when x is divided by 18.
14
Let a = 21 - 32. Let g(n) = -n**2 - 14*n - 11. Calculate the remainder when g(a) is divided by 12.
10
Calculate the remainder when 50 is divided by 0 + (-1)/(-2) + 264/16.