Let z be u(3). Suppose 2*k - 4*k = 4*r + 14, -3*k = -2*r - 19. Suppose z*n - k*n = 6. Calculate the remainder when 3 is divided by n.
1
Suppose 0 = 4*p + p - 20. Calculate the remainder when 28 is divided by (-122)/(-8) - 1/p.
13
Suppose -5*d + 0*i + 30 = 5*i, 3*d = 5*i + 58. Let q = -6 + 38. What is the remainder when q is divided by d?
10
Let c = 3 - 5. What is the remainder when 2 is divided by ((-3)/6)/(c/4)?
0
Let g(k) = 2*k**2 + 3*k + 3. Calculate the remainder when 10 is divided by g(-1).
0
Let t = 65 - 51. Calculate the remainder when 28 is divided by t.
0
Suppose -4*u - o + 448 = o, 2*u + 5*o - 208 = 0. Suppose 0 = -2*f - 2*n + u, -n + 285 = 5*f + 2*n. Calculate the remainder when f is divided by 12.
9
Suppose -3*u + 40 = -5. Suppose -a = 2*t - 55, 3*a = 5*a + 2. Calculate the remainder when t is divided by u.
13
Suppose 2*a - 22 = -4*t + 16, a = -5*t + 7. Let x = 5 - 7. Calculate the remainder when a is divided by (-2)/(-4) - 29/x.
12
Let c(o) = o + 4. Let m be c(-5). Calculate the remainder when 53 is divided by (5/((-5)/18))/m.
17
Suppose 0 = 3*d - 3*u - 75 + 222, -d + 5*u - 69 = 0. Let k = d + 77. Calculate the remainder when k is divided by 12.
9
Let g be (3 - 8)*(-4)/10. Suppose b = g - 1. Calculate the remainder when 1 is divided by b.
0
Let n = 19 + 38. What is the remainder when n is divided by 15?
12
Suppose 0 = -3*k, 2*k - k = -3*u + 342. Suppose n = 2*n - 15. Calculate the remainder when n is divided by (-4)/(-10) - u/(-15).
7
Suppose 0 = -7*q + 3*q + 4*a + 20, -a = q - 7. What is the remainder when 22 is divided by q?
4
Let p(t) = 6*t - 10. Let a be (4/(-16))/(1/(-20)). Calculate the remainder when 37 is divided by p(a).
17
Let c(u) = -u**3 + u**2 - u + 33. Let p be c(0). Let b = 47 - p. Calculate the remainder when 25 is divided by b.
11
Suppose -18 = -t + 25. Calculate the remainder when t is divided by 15.
13
What is the remainder when 37 is divided by ((-4)/(-3))/((-2)/(-21))?
9
Suppose -g = 4*g - 2*h - 151, -g - 5*h = -14. Calculate the remainder when 55 is divided by g.
26
Suppose -5*r + 5 = -5. Suppose u = 4 - r. Suppose -3*b + 7 = -5. What is the remainder when b is divided by u?
0
Let k(q) = -q + 11. Let f be k(9). Suppose 2*d = 4*d + f. Calculate the remainder when 34 is divided by 10 + (0 - d - -1).
10
Suppose -5*i - w = -58 - 16, i = -w + 18. What is the remainder when (-28)/12*-21 + 4 is divided by i?
11
Let f = -51 + 53. What is the remainder when 4 is divided by f?
0
Let q = -71 - -82. Let w(f) = f**3 - 2*f**2 - 2*f + 1. Let h be w(3). Suppose -u = h*b - 117, -b + 21 = 2*u + u. What is the remainder when b is divided by q?
8
Suppose 0 = 5*c - 4*c + 4*w - 4, -3*c - 2 = 5*w. What is the remainder when -8*(39/c - 0) is divided by 27?
24
Suppose 3*l + 2 = -4*v, -2*l = -4*v + 7 + 1. Let s(i) = 3*i + 4 - 29*i - 3. What is the remainder when s(l) is divided by 18?
17
Suppose g = 12 + 27. Let s = 31 - 11. Calculate the remainder when g is divided by s.
19
Let w = -4 + 4. Let l = 17 + w. What is the remainder when l is divided by 5?
2
Let l(a) = a + 2*a**2 + 9 + 5*a**2 - 2*a**2 + a**3. What is the remainder when 14 is divided by l(-5)?
2
Let p(z) = z**2 + 9*z - 2. Let s be p(-10). Let x = 5 + s. What is the remainder when 50 is divided by x?
11
Let q = 116 + -70. Suppose 112 = -2*p - 2*o, 2*p + 288 = -3*p - 3*o. What is the remainder when q is divided by (-2)/(-5)*-1*p?
22
Let d(l) be the first derivative of 4*l**3/3 + l**2/2 - 3. Calculate the remainder when 5 is divided by d(-1).
2
Suppose -488 = 4*s - 4*n, -4*s - 4*n + 32 = 544. Let y = -74 - s. Calculate the remainder when y is divided by 18.
15
Suppose -103 = -2*i + i + 3*q, -4*i = -4*q - 388. Calculate the remainder when i is divided by 24.
22
Let l = -4 + 8. What is the remainder when 11*(-3)/(-12)*l is divided by 6?
5
Let v be -3 + 0 + 43 + -4. Suppose -v = -4*q - 0*q. What is the remainder when q is divided by 3?
0
Calculate the remainder when 38 is divided by ((-2)/4)/(2/(-52)).
12
Let w be (-60)/2*(-4)/10. Let o be 8/w + 116/6. Suppose 4*v = u - 16, -u = u + 4*v - o. Calculate the remainder when u is divided by 7.
5
Let t = 1 + 3. Suppose -17 = -t*n - 5*a, -5 = 3*a + 4. What is the remainder when (-31)/(-2) + 2/(-4) is divided by n?
7
Suppose 5*h + 2*g - 307 = 0, 0 = -4*h + 2*h - 5*g + 127. Calculate the remainder when h is divided by 8.
5
What is the remainder when 5 is divided by 8/(8/3) + 1?
1
Let g(h) be the first derivative of 17*h**2 - h + 2. What is the remainder when g(2) is divided by 17?
16
Suppose 3*n + 27 = -b - 102, -3*n = -5*b + 147. Let k = -22 - n. What is the remainder when 42 is divided by k?
20
Suppose -2*h = -j - 19, 0 = 2*h + 4*j + 5 + 1. What is the remainder when 3 is divided by 3/1 - (h - 7)?
0
Let w(p) = 6*p + p + 12*p + 11*p. What is the remainder when 58 is divided by w(1)?
28
Suppose -3*d = -2*d - 17. Suppose 3*z - d = 10. Let s = 89 - 63. Calculate the remainder when s is divided by z.
8
Let d = 6 + -2. Let r = -8 - -12. Suppose -4*a + r + 4 = 0. Calculate the remainder when d is divided by a.
0
Suppose -5*o = -0*o - 5. Let b = 100 - 98. Calculate the remainder when b is divided by o.
0
Let t(b) be the second derivative of 5*b**4/6 - b**3/3 + 3*b. Let p be t(2). Suppose p = s + s. What is the remainder when 52 is divided by s?
16
Let u(d) = -75*d**3 - 3*d**2 - d + 1. Let x be 2/9 + (-11)/9. What is the remainder when u(x) is divided by 25?
24
Let j = 8 + -5. Let u(s) = 8*s**2 - 4*s + 1. Let a = -10 - -31. Calculate the remainder when u(j) is divided by a.
19
Suppose 0*x - x + 27 = 2*c, 0 = 5*c + x - 63. Suppose 3 = -4*k + 11. Suppose -t = -k*t + 35. What is the remainder when t is divided by c?
11
Suppose 76 = 2*k + 18. What is the remainder when k is divided by 11?
7
Suppose 2*y - 13 = -0*y - 5*i, 4*y = -4*i + 8. Calculate the remainder when 33 is divided by 1 - y - (-1 + -6).
6
Let k(f) = -f - 5. Let v be k(-7). Suppose v*q - 20 = -0. Calculate the remainder when 35 is divided by 0 + (1 - -1) + q.
11
Let o(s) = -s**3 + 7*s**2 + 8*s + 5. Let y be o(7). Suppose -3*g = -y - 140. What is the remainder when g is divided by 17?
16
Suppose 0 = -5*z + 2*n + 116, -4*z - 2 = 2*n - 102. Let s = z + -16. Let w = -32 + 35. What is the remainder when s is divided by w?
2
Suppose 0 = 3*d + d - 16. Suppose 0 = -d*n + 26 + 2. Calculate the remainder when (-216)/(-21) - 2/n is divided by 4.
2
Suppose -5*u + b = 0, 7*u - b + 4 = 6*u. Let a be (-6)/u - (1 + -3). What is the remainder when 36 is divided by (a/8)/((-1)/38)?
17
Suppose -5*o + o = 2*g - 44, 2*g + 5*o - 47 = 0. What is the remainder when g is divided by 9?
7
Let v(o) = o**3 + 9*o**2 + 7*o + 15. Calculate the remainder when v(-8) is divided by 2/(2/13 - 0).
10
Suppose -3*c - 20 = 3*y - 2, 4*y = -16. What is the remainder when 15 is divided by (-1 - 3)/(c/4)?
7
Let f = 55 + -27. Calculate the remainder when f is divided by 6.
4
Let b(c) = -19 + 19*c - 7*c + 12 - c**2. Calculate the remainder when 10 is divided by b(11).
2
Suppose -3*h = -4*h + 5. Suppose -4*p = 4, h*l - 1 = p - 10. Calculate the remainder when ((-55)/(-4))/(l/(-8)) is divided by 19.
17
Let d = -15 + 29. What is the remainder when (-9)/(-24)*-4*-26 is divided by d?
11
Let c(h) = 47*h**2 + h - 2. Let n = -32 - -15. Let v = -5 - n. Calculate the remainder when c(1) is divided by v.
10
Let u be (-2)/(-12) - 34/(-12). Calculate the remainder when 62 is divided by u/2 + 58/4.
14
Suppose 2*y - 29 - 1 = 0. What is the remainder when 44 is divided by y?
14
Calculate the remainder when 77 is divided by 26*((4 - 4) + 2/2).
25
Let h(o) = o**3 + 5*o**2 + 4*o + 7. What is the remainder when 26 is divided by h(-4)?
5
Calculate the remainder when (0 - -20)*33/12 is divided by 14.
13
Let c(f) = 42*f**2 + f. Let l = 8 + -6. Suppose -l*r + r - 62 = -4*q, q - 7 = -4*r. Calculate the remainder when c(1) is divided by q.
13
Let r(b) = 3*b**2 + 2*b - 1. Let n be r(-2). Suppose -4*p - 5 = p + q, -4*p = -q - 5. Let c = p + n. What is the remainder when c is divided by 5?
2
Suppose 9*k + 10*k - 342 = 0. Calculate the remainder when 69 is divided by k.
15
Suppose 2*o + 1 = 7. Suppose 1 = b - 3*l, 0 = -b - o*b - 2*l + 46. Let j = -9 - -27. What is the remainder when j is divided by b?
8
Suppose 0 = -2*r + u + 11, 4*r - 3*r + 3*u - 9 = 0. Su