*2 + 20*h + 70. Calculate the remainder when 42 is divided by z(-16).
0
Let y = 23 + -23. Suppose y = 5*o - l - 26 - 72, -64 = -4*o - 4*l. What is the remainder when 2/(-1)*(-219)/6 is divided by o?
16
Let a = 64 + -104. Calculate the remainder when (-15)/a*18*8 is divided by 14.
12
Let m = -1062 - -1187. What is the remainder when m is divided by 54?
17
Let s(n) be the first derivative of n**4/4 + 11*n**3/3 - 7*n**2 - 14*n + 6. What is the remainder when 16 is divided by s(-12)?
6
Suppose -q + 89 = 3*y, 3*q = 3 - 15. What is the remainder when y is divided by 2?
1
Let w(y) = 320*y + 8. Let d be w(1). Suppose -d = -9*l - 4. What is the remainder when l is divided by 13?
10
Suppose -4*b + 5 = b. Let y be -9 + 2 + 2 + b. Let w(j) = j**2 - 5*j - 3. What is the remainder when 129 is divided by w(y)?
30
Suppose 0 = -107*g + 97*g + 2590. Calculate the remainder when g is divided by 16.
3
Let w(z) = 2*z**2 + 2*z + 19. Calculate the remainder when w(5) is divided by 28.
23
Suppose -156 = 4*q + 4*c, -2*q - 3*c + 0*c - 81 = 0. Calculate the remainder when (-15)/(-6)*(-4)/6*q is divided by 21.
18
Suppose 17 = -22*b + 23*b. Suppose 0 = -f - 6 + b. What is the remainder when 41 is divided by f?
8
Let n(o) = o**3 + 8*o**2 + 4*o - 5. Let j = -28 + 30. What is the remainder when n(-7) is divided by j?
0
Suppose -1341*m = -1328*m - 936. Calculate the remainder when m is divided by 31.
10
Suppose 5*a = 25, 4*r - 5*a = -5 - 0. Suppose r = -2*p + 47. Calculate the remainder when p is divided by 11.
10
Suppose -b - b + 24 = 3*x, 8 = -4*x. Let m = -68 - -76. What is the remainder when b is divided by m?
7
Suppose -2*r + 0*r = -80. Suppose -1858*g - 733 = -3*w - 1854*g, 1203 = 5*w - 2*g. Calculate the remainder when w is divided by r.
39
Let i(y) = y**2 + 17*y + 91. What is the remainder when 179 is divided by i(-15)?
57
Suppose 11 = 3*h + 2*p, h - 6*h + p + 14 = 0. Let o(m) = 3*m + 7. Calculate the remainder when o(5) is divided by h.
1
Let x(g) = g**3 - g**2 - 5*g + 2. Let m be x(3). Let j(u) = 2*u + m*u**3 + u - 6*u**3 - 1. What is the remainder when j(-3) is divided by 9?
8
Let s = -541 + 560. What is the remainder when 182 is divided by s?
11
Let u(s) = 45*s - 8. Calculate the remainder when u(6) is divided by 54.
46
Let x = 361 - 273. What is the remainder when x is divided by 23?
19
Let m = 33 + -23. Suppose 0 = 4*b - b + 81. Let i = 33 + b. What is the remainder when m is divided by i?
4
Suppose -94*l + 92*l + 142 = 0. What is the remainder when l is divided by 8?
7
Let k(c) = 3*c + 47. Calculate the remainder when k(8) is divided by 1.
0
Let q(u) = -16*u - 223. What is the remainder when q(-30) is divided by 21?
5
Suppose 2*y = -8, -5*y - 117 = 5*g + 8. Let x = g - -29. Calculate the remainder when 23 is divided by x.
7
Let l(n) = n**2 - n - 8. Let j = 2787 + -2700. What is the remainder when j is divided by l(6)?
21
Let j = 996 - 860. What is the remainder when j is divided by 18?
10
Let a(y) = -y**3 + 9*y**2 - 3*y - 10. Let b(u) = u**3 - 8*u**2 + 2*u + 9. Let t(q) = 5*a(q) + 6*b(q). Calculate the remainder when 23 is divided by t(4).
7
What is the remainder when 101 is divided by ((-9)/2)/(98/(-588))?
20
What is the remainder when (462/(-8))/(5/(-20)) is divided by 26?
23
Let b be 1 + 76 + (2 - 1) + 2. Suppose -4*q + 2*q = 3*j - b, -j + 170 = 4*q. What is the remainder when q is divided by 12?
7
What is the remainder when 70 is divided by (432/(-96))/(1 + (-33)/24)?
10
Suppose -2*z + a = 2*z - 44, 3*z - 26 = -a. Let m(p) = -p + 23. Let s = 4 + 1. What is the remainder when m(z) is divided by s?
3
Let o(m) = -2*m**2 - 58*m - 110. Calculate the remainder when 138 is divided by o(-26).
0
Calculate the remainder when (-5)/(-45)*1053/9 is divided by 5.
3
Let f = -76 + 109. Suppose 2*q - f = 55. Let r = -35 - -50. Calculate the remainder when q is divided by r.
14
Let p(k) = -2*k - 4. Let o be p(-6). Suppose 2*n - 124 + o = 0. Suppose 3*u + 2*l = u + 32, n = 4*u + 2*l. What is the remainder when u is divided by 6?
1
Let x = -32 + 47. Suppose 32 = -11*n + x*n. What is the remainder when 37 is divided by n?
5
Let h = 7 + -3. Suppose -3*x - 2*j + h = -6, x - 5*j = -8. Suppose -32 = -4*b + 4*f, 4*f + 9 = x*b - 11. Calculate the remainder when 17 is divided by b.
5
Let i(b) = b**3 + 10*b**2 - 6*b - 2. Let d be i(-8). Let x be (93/(-31))/((-1)/31). Let y = d - x. Calculate the remainder when y is divided by 28.
25
Suppose 5*f = -20, -130 - 89 = -5*w + f. What is the remainder when 43 is divided by w?
0
Let s be (5 - 11)*(-1)/6. Suppose -3*k = s - 19. Suppose 104 = -2*c + k*c. Calculate the remainder when 103 is divided by c.
25
Suppose -2*n - 216 = -8*n. Let d = 75 - n. Let j = 64 - d. What is the remainder when 99 is divided by j?
24
Let p(v) = 4*v**2 + 3*v + 1. Let o be p(-2). Let r(y) = 3*y**2 + o - 11*y + 7*y**2 - 6*y - y**3 + 4. Calculate the remainder when r(6) is divided by 29.
28
Let p = -23 + 27. Suppose 3*f + f = -12. What is the remainder when (f/3)/(3/(-21)) is divided by p?
3
Let f(v) = 2*v - 3. Let l(r) = -r + 24. Let w be l(7). Suppose -4*p + w = 1. What is the remainder when 8 is divided by f(p)?
3
Let c(p) = 7*p + 2. Let m = 646 + -623. What is the remainder when c(6) is divided by m?
21
Let a be (-2)/(-3) - -1*1/3. Suppose -5*s = -3*w + 166, 4 = 3*s + a. Calculate the remainder when w is divided by (-1*5)/(2/(-8)).
17
Let i = -33 + 35. Calculate the remainder when i - ((-10)/(-5) + -7) is divided by 5.
2
What is the remainder when 164/(-3)*36/(-24) is divided by 23?
13
Let k(m) = 2*m + 82. Let y be (-79 - (2 - 0)) + -1. What is the remainder when (y/(-4))/(1/2) is divided by k(-34)?
13
Let p(l) = l**2 + 8*l - 2. Let k be p(-6). Calculate the remainder when 18 is divided by k/3*3/(-2).
4
Suppose 22*k - 27*k + 690 = 0. Calculate the remainder when k is divided by 14.
12
Suppose a - 87 = 6. Suppose -52 - a = -5*k. Calculate the remainder when k is divided by 10.
9
Suppose -s + m + 15 = 3*m, -2*s + 5*m = 6. What is the remainder when 4/(-16)*0 - -11 is divided by s?
4
Suppose -3*t + 36 + 44 = n, 5*n + 50 = 3*t. Suppose -8 - t = -3*b. What is the remainder when 40 is divided by b?
7
Suppose 3*z - z - 2 = -4*r, -r - 5 = -5*z. Let q(u) = 6*u - 3*u - 3 + 4 + u. Calculate the remainder when 6 is divided by q(z).
1
Suppose 4*a = 8*a - 624. Suppose -2*c + a = 12. Suppose 0 = -5*d + 13 + c. What is the remainder when d is divided by 12?
5
Suppose -5*r = r. Calculate the remainder when (-8)/2 - (r + -27) is divided by 14.
9
Suppose 4*n - 1 = 3, 0 = -4*x + 3*n + 201. What is the remainder when x is divided by 16?
3
Let o = 92 + -83. Suppose 0 = 57*k - 56*k - 35. What is the remainder when k is divided by o?
8
Let a(g) be the second derivative of -1/3*g**3 + 0 + 7/6*g**4 + 4*g + 1/2*g**2. What is the remainder when 50 is divided by a(1)?
11
Suppose -39 + 7 = -4*p. Suppose -2*m + 4*i = -20, 2*i = 5*m - i - 36. Calculate the remainder when (8/m)/(4/42) is divided by p.
6
Suppose 0 = 4*s - n - 65, 5*s + 4*n - 70 = 3*n. Calculate the remainder when s is divided by -5*392/(-700) + (-1)/(-5).
0
Calculate the remainder when 5 is divided by ((-3)/12)/(-5*(-4)/(-320)).
1
Let s = -12 - -17. Suppose -7 = -2*j + d, -4*j + 23 = -8*d + 3*d. Let k(v) = v**3 - 2*v - 1. Calculate the remainder when s is divided by k(j).
2
Let n be ((-30)/(-4))/(6 + 126/(-24)). Suppose -558 = -n*a + 572. What is the remainder when a is divided by 30?
23
Suppose 0*j - 113*j + 3051 = 0. Suppose 0 = -3*c + 1047 - 315. Let g = c - 166. What is the remainder when g is divided by j?
24
Suppose 0 = 57*d - 502 - 866. Calculate the remainder when 526 is divided by d.
22
Let o = -458 + 572. What is the remainder when 338 is divided by o?
110
Suppose 116 = b - 185. Suppose 3*w - b + 283 = 0. Let s = -10 + 19. Calculate the remainder when s is divided by w.
3
Suppose -28*n + 37*n = 234. What is the remainder when 78 is divided by n?
0
Let l be (0 - 3) + (1 - -5). Let c be (1/2)/((-1)/18). Calculate the remainder when 13 is divided by (l/4)/(c/(-36)).
1
Let i = -46 + 49. Suppose -3*b = i*x - 678, x - 919 = 2*b - 6*b. Calculate the remainder when b is divided by 29.
28
Let x(r) = 2*r + 9. Let t be x(-10). Let p = -6 - t. Suppose -n + 4*f = 4, 6 + 6 = p*n - 4*f. Calculate the remainder when 10 is divided by 