. Calculate the remainder when x is divided by 7.
5
Suppose -y = -3*n + 4, 0*n + 3*y - 16 = -5*n. Let r be (-3 + n)/(3/(-18)). What is the remainder when 42 is divided by ((-99)/(-6))/(r/8)?
20
Let t = -2966 + 2973. Calculate the remainder when 518 is divided by t.
0
Let l(f) be the second derivative of f**4/6 + f**3/3 - 3*f**2 - 3*f. Let t be l(4). What is the remainder when 6 is divided by t/10 + 4/(-10)?
0
Suppose 11 + 5 = q - 0*q. Suppose 4*x - 116 = -4*j, -3*j + j = 4*x - 116. Calculate the remainder when x is divided by q.
13
Let a(k) = -6*k + 3. Suppose -14*m = -12*m - 112. What is the remainder when a(-6) is divided by 1/(-2*(-2)/m)?
11
Suppose 3*i - 239 + 35 = 0. Calculate the remainder when i is divided by 9.
5
Let g(y) = -28*y + 597. What is the remainder when 322 is divided by g(19)?
62
Let b(k) = -3*k - 60*k**3 + 27*k**3 - 2*k**2 - 1 + 32*k**3. Calculate the remainder when 5 is divided by b(-2).
0
Let l(j) = j**2 + j - 2. Let v be (-6)/4*(-48)/18. Suppose -11 - v = -3*k. Calculate the remainder when l(k) is divided by 10.
8
Suppose 2*p - 4*g + 30 = 4*p, -2*g = 5*p - 43. Let n(l) = -14*l. Let y be n(2). Let w = p - y. What is the remainder when w is divided by 9?
8
Let k(u) be the third derivative of u**6/120 - u**5/30 - 5*u**4/8 - 4*u**3/3 - 10*u**2 - 3*u. Calculate the remainder when k(6) is divided by 16.
14
Suppose -4 = h - 0, -5*d = 4*h - 59. Suppose 0 = 4*x + 45 + d. Let r = x - -17. Calculate the remainder when 3 is divided by r.
1
Suppose -1248*z = -1242*z - 948. What is the remainder when z is divided by 16?
14
Suppose -4*a + 2 = w - 9, 4*a = 0. Calculate the remainder when 41 is divided by w.
8
Let d(q) = q + 3. Let a be d(-3). Suppose a = b - 6 - 1. Calculate the remainder when 25 is divided by b.
4
Let z = 22 - 19. Let y(o) = 20*o - 54. Calculate the remainder when y(3) is divided by z.
0
Suppose 75*q - 81*q = -348. Calculate the remainder when q is divided by 36.
22
Let r(l) = 16*l - 132. What is the remainder when 570 is divided by r(11)?
42
Suppose -2*f = -2*u - 2 - 0, -f = 2*u - 1. Suppose -11*o + 4*o + 238 = u. What is the remainder when 165 is divided by o?
29
Suppose 5*p + 5*t = 200, -5*t + 34 + 6 = p. Let r(m) = -p - 2*m + 6*m + 20. Calculate the remainder when r(13) is divided by 9.
5
Let j(y) = y**2 + 5*y + 7. Let l(g) = -g**2 - 4*g - 6. Let v(x) = -4*j(x) - 3*l(x). What is the remainder when 23 is divided by v(-4)?
5
Let y(v) = 335*v - 9. Calculate the remainder when y(1) is divided by 41.
39
Let s(z) = 2*z**3 + 0*z**3 - 7*z**3 - 3 + 4*z + 4*z**3 + 7*z**2. Calculate the remainder when s(7) is divided by 13.
12
Let s = 78 - 47. Let p be (-15)/5 - (-16)/2. Let t(j) = j**3 - 4*j**2 - 3*j + 1. What is the remainder when s is divided by t(p)?
9
Suppose 0 = 3*w - 9 - 27. Let l = w + -6. Calculate the remainder when l is divided by -4*-1*(-1)/(-2).
0
Calculate the remainder when 43 is divided by (-39 + 1)*(-1)/2.
5
Let m = 23 + -57. Suppose 2*p + 2*p - 164 = 0. Calculate the remainder when p is divided by m*1/(-2) + -3.
13
Let s(v) = 2*v**3 - 8*v**2 + 6*v - 1. Suppose -14*x = -217 - 161. Calculate the remainder when s(5) is divided by x.
25
Suppose -3*o + 180 = 3*k, -4*o - 3*k + 228 = -2*k. Suppose 0 = 4*q + 6*i - i - o, -i = -4*q + 56. What is the remainder when 53 is divided by q?
11
Suppose -2*v + 8 = n, 5*n + 3*v - 40 = 2*v. Let q = n + 9. Calculate the remainder when 30 is divided by q.
13
Let z = -171 - -192. What is the remainder when 144 is divided by z?
18
Suppose 0 = 2*v - 5*x - 130, 0*v + v - 4*x = 62. Let i = -127 - -136. Calculate the remainder when v is divided by i.
7
Let p(i) = i**2 + 8*i + 4. Let b be ((-84)/18)/(2/3). Let g be p(b). What is the remainder when 48 is divided by g - (-1 - (-3 - -22))?
14
Suppose -5*i + 3*i + 4 = 0. Suppose 3*f - 9 = -i*q, 3*f = 6*f + q - 9. Calculate the remainder when (-455)/(-15) + 2/f is divided by 8.
7
Suppose -4*h + 66 = 18. Suppose 0 = -0*v - h*v + 180. Suppose 0 = -2*n + 8 + 46. What is the remainder when n is divided by v?
12
Suppose 0 = s - 3 - 2. Let u be 1038/30 + 2/s. What is the remainder when 13 is divided by u/20 - (-1)/4?
1
Suppose -5*y = -0*y + 4*f + 6, -3*y + 5*f + 26 = 0. Let j be (8/4)/(y/4). What is the remainder when 3 is divided by (2/(-12))/(j/(-24))?
0
Calculate the remainder when 236 is divided by (-6)/4 + (-497)/(-14).
32
Let m be (-270)/(-4) - (-1)/2. Suppose m = 2*b - 2*w, -4*w = -8*b + 3*b + 168. Let q(c) = -281*c + 6243. Calculate the remainder when q(22) is divided by b.
29
Suppose -492 = -4*h - 0*h. Suppose 5*g - 3*l = h, 4*g + 3*l = 40 + 53. Let d = g - -13. What is the remainder when d is divided by 20?
17
Let l(q) = -q**3 - q. Let g be l(0). Let v(h) = h**2 - h + 19. Suppose 9*m = 4*m + 25. What is the remainder when v(g) is divided by m?
4
Suppose 5*n - 2*p + 526 = 10*n, -2*p = -6. Calculate the remainder when n is divided by 60.
44
Suppose d = -3*r + 18, 5*d + 0*r = -5*r + 110. Let l be ((-6)/4)/((-9)/d). Suppose l*p = 9*p - 105. What is the remainder when 83 is divided by p?
20
Let k be (0*(-1)/(-2))/(-1). Suppose -5*q + 4*q + 65 = k. What is the remainder when q is divided by 33?
32
Let z(s) = -s**3 - 19*s**2 + 66*s + 15. What is the remainder when 98 is divided by z(-22)?
8
Let g = 1784 - 1165. What is the remainder when g is divided by 206?
1
Suppose 3*v - x = -0*v - 4, 4 = 5*v + x. Suppose 2*f + 114 = 4*o, 0 = -o + 2*f - v*f + 33. What is the remainder when 77 is divided by o?
23
Suppose -g + 582 - 42 = 4*o, -130 = -o + g. Let u = -50 + o. What is the remainder when u is divided by 17?
16
Let l = -3 - -6. Let s(i) = -10*i**2 + 5*i + 1. Let q(v) = -11*v**2 + 6*v + 1. Let k(c) = 6*q(c) - 7*s(c). Calculate the remainder when k(l) is divided by 13.
12
Let t(l) = 66*l**3 + 2*l - 1. Suppose -4*n = -4*b - 6 + 14, -5*n - 9 = -4*b. What is the remainder when t(b) is divided by (-3 - -4)/(2/34)?
16
Let t(o) be the first derivative of o**2 - 18*o - 5. What is the remainder when t(15) is divided by 5?
2
Let y be -1 - -30 - (9 - 12). Let r be (y/4 + -4)/1. Suppose l + 114 = r*l. What is the remainder when l is divided by 13?
12
Let z(u) = 29*u + 31. Let s(n) = n**2 - 29*n - 32. Let t(y) = -2*s(y) - 3*z(y). What is the remainder when t(-13) is divided by ((-3)/4)/((-2)/8)?
1
Suppose -5*l = -2*l - 4*k - 4580, 3*l + 5*k - 4589 = 0. Calculate the remainder when l is divided by 85.
83
Let x(m) = -7 + m + 3 + 12*m. Suppose -k + 3 = -0*k. What is the remainder when x(k) is divided by 19?
16
Calculate the remainder when 1 - ((-1127)/7 + 1) is divided by 18.
17
Let q(f) = 24*f - 51. Calculate the remainder when 377 is divided by q(3).
20
Let r(x) = 4*x - 38. What is the remainder when 320 is divided by r(21)?
44
Suppose -4*s - 3*l + 435 = 0, 7*s + l + 323 = 10*s. Calculate the remainder when 28 is divided by (-9)/(-6) - s/(-8).
13
Suppose -2*t - 10 = 0, 176 = 4*j + 8*t - 4*t. What is the remainder when j is divided by 26?
23
Suppose 16*x - 1274 = -170. Let d = x + -53. Calculate the remainder when 62 is divided by d.
14
Let v(o) = -o**2 - 9*o - 1. Suppose 0 = 5*w + 6 - 46. Calculate the remainder when v(-4) is divided by w.
3
Suppose 5*s - 4*s + 17 = 4*c, -3*s + c = -4. Suppose 0 = 3*t - x - 82, s*t - 54 = t + x. What is the remainder when t is divided by 10?
8
Let r be ((-4)/(-3))/(28/42). Let h(c) = 19*c + 2 + 0 + 6 - r. Calculate the remainder when h(4) is divided by 17.
14
Let f(s) = s**3 - 16*s**2 - 44*s - 63. Let l be f(28). Suppose -5 = -5*w + 4*w. What is the remainder when l/95 - 2/w is divided by 22?
19
Let i be 233/(-2) - 24/16. Let c = -193 - i. Let t = -42 - c. What is the remainder when t is divided by 12?
9
Let x = -5 + 114. Let w = 2 + 7. Calculate the remainder when x is divided by (-56)/(-3)*w/6.
25
Let i(w) = -w**2 - w. Let g(p) = p**2 - 8*p + 9. Let f(k) = g(k) + 2*i(k). What is the remainder when 33 is divided by f(-9)?
15
Let v be -4 - (-10 + (1 - 0)). Suppose -v*b + 2*b - d = -36, -9 = -3*d. What is the remainder when 42 is divided by b?
9
Suppose 0*w = w. Suppose w = -5*q + 12 + 8. Suppose q*s - 70 = -s. What is the remainder when s is divided by 5?
4
Let j(z) = z**2 - 6. Suppose -x + 3*a = -2*a - 65, -3*a - 158 = -2*x. Calculate the remainder when x is divided by j(-6).
25
Suppose -2*c + 30 + 11 = 3*p, -4*p + 5*c = -2