8.
11
Let o(i) = 2*i**3 - 80*i**2 - 80*i - 18. What is the remainder when 207 is divided by o(41)?
15
Let k(x) = 10*x - 4. Let z(s) = 10*s - 4. Let b(u) = 3*k(u) - 4*z(u). What is the remainder when b(-3) is divided by 7?
6
Let n(x) = 36*x**2 + x + 26*x**2 - 13*x**2. Suppose -52 - 16 = -4*c. What is the remainder when n(-1) is divided by c?
14
Let m = -29 + 28. Let g = 7 - m. Calculate the remainder when g is divided by 6.
2
Suppose 3*x - 2*x + 4*u = 8, -2*x - 4*u + 12 = 0. Suppose 0 = -f + x - 1. Suppose k = f*k - 72. What is the remainder when k is divided by 13?
10
What is the remainder when 99 is divided by 220/((-28)/(-7))*1?
44
Suppose a = -g + 19, -7*a + 4*a + g + 61 = 0. What is the remainder when 353 is divided by a?
13
Suppose -n + 79 = -11. Let r be (2/1)/(4/10). Suppose 4*d - 97 = 4*v - r*v, 2*v = -3*d + 79. What is the remainder when n is divided by d?
21
What is the remainder when 172 is divided by 55 - (-4 - 0)/(8/12)?
50
Suppose -3*b - 2*b = -3*g - 45, 2*g + 26 = 2*b. Let a be (g/(-3))/((-6)/(-81)). Suppose -s + 2*s - a = 0. Calculate the remainder when s is divided by 23.
22
Let t(a) = -a**3 + 11*a**2 + 13*a - 8. Let y be t(12). Suppose -y - 29 = -b. Calculate the remainder when b is divided by 12.
9
Let l be (-6)/14 - (-1 - (-10)/(-7)). Let y be 8 + (-1 - 1/(-1)). Suppose n - d = y, n + 4*d = 5 - l. Calculate the remainder when 27 is divided by n.
6
Suppose -3*i = 8 - 80. Let h = -365 + 372. What is the remainder when i is divided by h?
3
Let r(n) = -n**2 - 12*n + 39. Let h(p) = -p - 1. Let q(m) = -2*h(m) + r(m). Calculate the remainder when 47 is divided by q(-12).
13
Suppose 7*h - 411 = 4*h. Let r(t) = t**2 - 5*t + 35. Let z = -5 - -10. Calculate the remainder when h is divided by r(z).
32
Suppose -8 = -4*v + 2*v. Suppose -4*m - 168 = -v*x, 4*x = -0*m + m + 165. What is the remainder when x is divided by (-152)/(-12) - 9/(81/(-12))?
13
Let g(i) = 53*i + 384. What is the remainder when 1 + 3/3 + 72 is divided by g(-7)?
9
Let k(b) = 5*b**3 - 5*b**2 - 3*b + 7. Calculate the remainder when 54 is divided by k(2).
12
Let q = 247 - 154. Let f = -3 - -6. What is the remainder when q is divided by 29 + (-3 - -9 - f)?
29
Let z = 66 - 42. Calculate the remainder when 47 is divided by z.
23
Let y(c) = -c**2 - 24*c - 26. Calculate the remainder when 1139 is divided by y(-10).
113
What is the remainder when (-3962)/(-56) - (0 + (-1)/4) is divided by 11?
5
Suppose 8 = 5*k + 3. Let x(w) = 9*w**3 - w + 1. Let g be x(k). Let t = 14 - g. What is the remainder when t is divided by 3?
2
Let a(u) = -4*u + 12. Let b be a(-11). Let z = b - 29. Calculate the remainder when z is divided by 5.
2
Suppose -412 = -12*l + 92. Calculate the remainder when 250 is divided by l.
40
Let h = 104 - 57. Let t = 108 - h. Calculate the remainder when 181 is divided by t.
59
Let v(q) = 34*q + 394. Let z(s) = -6*s - 4. Calculate the remainder when v(-11) is divided by z(-3).
6
Suppose -32*z = -83*z + 765. Suppose -5*q = 2*t - 7 + 39, -19 = 3*q + t. Calculate the remainder when (-115)/(-2) - (-3)/q is divided by z.
12
Suppose -32*h + 463 = -785. Calculate the remainder when 75 is divided by h.
36
Let q(h) = -2*h - 33. Let l be q(0). Let s = 67 + l. Let f(u) = -u**3 - 2*u**2 - u. What is the remainder when s is divided by f(-3)?
10
Let d = 2 - 0. Suppose 3*y + 17 - 76 = -2*h, 2*y - d*h - 26 = 0. What is the remainder when (164/14)/((-9)/(-63)) is divided by y?
14
Suppose 4*u - 149 - 279 = 0. Suppose 3*q = 9, -5*s + q + 394 = u. Suppose l - s = -14. What is the remainder when l is divided by 23?
21
Suppose -10*f - 41 = -251. Calculate the remainder when 38 is divided by f.
17
Suppose -5*i = 3*o - 182, -5*o + 254 = -2*i - 2*i. Let n be (-1)/5 - (-348)/15. Let x = n - 4. What is the remainder when o is divided by x?
16
Suppose -275 = 21*t - 32*t. Calculate the remainder when 42 is divided by t.
17
Let c(g) = -7*g - g**3 + 3*g**2 - 10 + 6 + 7*g**2. Let p be c(9). Suppose -5*k - p = -7*k. What is the remainder when 19 is divided by k?
5
Let k(a) = -2*a**3 + 19*a**2 - 17*a - 14. What is the remainder when 308 is divided by k(8)?
14
Calculate the remainder when 250/4 + (-7)/(-14) is divided by 9.
0
Let r = -33 - -48. Suppose 4*s - w - 71 = 2*s, 3*w - r = 0. What is the remainder when s is divided by 13?
12
Suppose 0*s - 3*h = 3*s - 147, 0 = 3*h + 3. Suppose 0 = -5*k + 20 + s. Let q(v) = 158*v - 449. What is the remainder when q(3) is divided by k?
11
Let v = 8 - 1. Suppose 2*z - v = z. Let w = 55 - 37. What is the remainder when w is divided by z?
4
Let h = -129 + 141. Suppose 10*j = h*j - 52. What is the remainder when 205 is divided by j?
23
Let t(l) = l - 1. What is the remainder when 125 is divided by t(45)?
37
Let h = -392 + 482. Suppose -i + 25 = 4*i, -3*i + 108 = 3*m. Calculate the remainder when h is divided by m.
28
Suppose 4*z - 5*w + 11 = 3*z, 2*w = z + 2. Suppose -3*k - 1 = -7. Suppose k*d = 2*t - 8, 3*t + 3*d - 38 = z. What is the remainder when t is divided by 4?
1
Suppose -7*k = 34 + 22. Let r(n) = n**3 - 6*n**2 + 6. What is the remainder when (-8)/(2 + 20/k) is divided by r(6)?
4
Let a(k) = -k - 18. Let s be a(3). What is the remainder when 30 is divided by (s + -1)*8/(-16)?
8
Let x(k) be the third derivative of -k**5/60 - k**4/3 + 3*k**3/2 - 6*k**2. What is the remainder when x(-6) is divided by 8?
5
Suppose 0*b + 5*b - 398 = -3*c, -267 = -2*c - 5*b. Let k = -83 + c. Suppose 0*o = 4*o - k. Calculate the remainder when o is divided by 3.
0
Suppose 0*r - 2*a + 56 = 5*r, 2*a = -3*r + 32. Calculate the remainder when 1051 is divided by r.
7
Suppose -u + 50 = 47. Suppose -5*i = 3*n - 6*i - 240, u*n + 5*i - 258 = 0. Calculate the remainder when n is divided by 28.
25
Let j = 26 + -101. Let h = j - -82. What is the remainder when 26 is divided by h?
5
Let m(s) be the first derivative of 2*s**3/3 + 7*s**2 - 9*s + 10. Calculate the remainder when m(-8) is divided by 4.
3
Let o = 19 - 14. Suppose -o*k + 2*t + 80 = -2*t, 4*t + 32 = k. What is the remainder when 2 - 45/(-1 - 0) is divided by k?
11
Let o(z) be the second derivative of z**4/12 + z**3 - 7*z**2/2 - 2*z. Let s be o(-8). Suppose s - 1 = h. What is the remainder when h is divided by 3?
2
Let b = 307 - 299. What is the remainder when b is divided by 6?
2
Suppose 5*c = -2*v - 34 + 1408, -c - 4*v + 282 = 0. Suppose 210 - c = -4*d. What is the remainder when 61 is divided by d?
13
Suppose -159 = 9*x - 1626. Let w(n) = 16*n + 4. Let s be w(-6). Let v = x + s. Calculate the remainder when v is divided by 18.
17
Let f = 33 + 77. Calculate the remainder when f is divided by 34.
8
Calculate the remainder when 209 is divided by (-6)/9 + (-1476)/(-27) - 1.
50
Let g = 7 - 3. Let q be (-116)/(-36) + ((-6)/27)/1. Suppose -d - g*z = -105, -d + q*z = -0*d - 77. Calculate the remainder when d is divided by 23.
20
Let k(u) = u**2 - 6*u. Let w be k(6). Let g(x) = w*x**2 + 6*x**2 + x**2 - 11*x**2 + x**3 - 6 - 3*x. Calculate the remainder when 7 is divided by g(5).
3
Let l be (-9)/6*312/(-9). Suppose 4*h + 0*h = 3*t - 38, -l = -4*t + 4*h. Let o = 2 + 3. What is the remainder when t is divided by o?
4
Suppose 0 = -3*i + 5*i + 10. Let n = i + 40. Let b = 112 - 100. What is the remainder when n is divided by b?
11
Let m(c) = c**2 - 5*c - 3. Let j be m(6). Suppose j*n = -23 + 38. Calculate the remainder when n is divided by 4.
1
Calculate the remainder when 91 is divided by (-1177)/214*68/(-22).
6
Suppose -21 = -4*u + w, -2*w + 34 = 5*u - 2. Suppose 0 = -u*a + a - 145. Let t = a - -54. Calculate the remainder when t is divided by 13.
12
Suppose -18*c = -16*c - 302. What is the remainder when c is divided by 17?
15
Suppose -21*o + 1322 = 482. What is the remainder when o is divided by 11?
7
Let y = 443 - 312. What is the remainder when 654 is divided by y?
130
Suppose 4*s + x = -x + 34, -2*s + 3*x = -37. Let m be (-8)/44 + 2/s. Suppose 3*k - 93 = -3*l, m = -k - 1 + 6. Calculate the remainder when l is divided by 7.
5
Let a be (-440)/(-25)*10/2. Let f = a - 48. What is the remainder when f is divided by 11?
7
Let y(c) = c**2 + 48*c - 18. What is the remainder when 184 is divided by y(-49)?
29
Let w(y) = -y**2 - 2*y. Let q be w(0). Let z(g) = g**2 + 38. Calculate the remainder when z(q) is divided by 14.
10
Let y(o) = o**2 + 20*o + 