by q(-11).
47
Let i = -5346 - -5478. Suppose -3*z + 85 = -x, 2*z + 3*x - 34 = -2*x. What is the remainder when i is divided by z?
24
Suppose 21*p = 3*p - 306. Let v(s) = -6*s - 14. Suppose -2*l + 2*c = -28, 9 + 10 = l - 2*c. Calculate the remainder when v(p) is divided by l.
7
Let h = 11938 + -11926. What is the remainder when 12/(-28) - (-1)/(7/332) is divided by h?
11
Suppose -42*t + 45*t - 21 = -c, -9*t + 3 = c. Calculate the remainder when 75 is divided by c.
15
Suppose 17*z = 20*z - 1305. Let j = 450 - z. Calculate the remainder when j is divided by 7.
1
Suppose 10 = -t + 2*t. Let r be (-2)/(-17) + (1216/68 - 6). Let s = t + r. Calculate the remainder when s is divided by 12.
10
Let a(w) = 163 - w + 7*w + 6*w - 184. Let n = 14 + 4. Calculate the remainder when a(9) is divided by n.
15
Let h(y) = 2*y**3 - 4*y**2 - 2*y - 2. Calculate the remainder when h(4) is divided by 3*(35 + -23 - 17/3).
16
Suppose 528*o = 531*o - 936. Calculate the remainder when o is divided by 9.
6
Let k(q) be the third derivative of -q**5/60 - q**4/3 - 7*q**3/3 + 60*q**2. Calculate the remainder when 2 is divided by k(-4).
0
Let g(q) = -173*q + 246. Calculate the remainder when g(-2) is divided by 584.
8
Suppose -3*g = -4*v - g + 4, -g - 2 = v. Suppose -5*j + j + 52 = v. Suppose -3 = 3*s - 9, s = 4*t - 126. Calculate the remainder when t is divided by j.
6
Let v(i) = 56*i + 6. Let f be v(-2). Let l = f - -118. Suppose -33 = -2*o + 5. What is the remainder when o is divided by l?
7
Let w = -3009 + 3725. What is the remainder when w is divided by 711?
5
Suppose 69647 + 16953 = 25*l. Calculate the remainder when l is divided by 864.
8
Let f(v) = -2*v**2 - 4*v - 2. Let o be f(-6). Let l = 76 + o. Suppose -44*d - 3*y + 11 = -39*d, 2*d - y = 22. What is the remainder when l is divided by d?
5
Suppose 4*i - 114 = 2*b - 7*b, -i = 3*b - 32. Calculate the remainder when ((-22)/(-110))/((-6)/1270)*(17 - 20) is divided by i.
23
Let x(n) = -10*n - 257. Suppose 14*o = -230 - 148. Calculate the remainder when 259 is divided by x(o).
12
Suppose -2*n + 670 = 4*c, -5*c = -6*c - n + 170. Calculate the remainder when 1004 is divided by c.
14
Let q(a) = a**2 - 3*a - 14. What is the remainder when 11/(264/36) + 75/2 is divided by q(7)?
11
Let z = 3910 - 3854. What is the remainder when z is divided by 33?
23
Suppose -3*t + 27 = -12. Suppose 4*l + 2*c = 186, 2*l - 55*c = -60*c + 97. What is the remainder when l is divided by t?
7
Suppose 3*s = 3*t + 84, 2*s - 14*t = -17*t + 31. Suppose s*c - 10*c = 1053. Calculate the remainder when 889 is divided by c.
79
Let p(s) be the second derivative of 4*s**3/3 - 127*s**2 + 9*s - 3. What is the remainder when p(34) is divided by 16?
2
Suppose 5*t + 70 - 385 = 0. Calculate the remainder when 128 is divided by 14/t - 482/(-18).
20
Let u be (-36)/45*5 + (1 - 2). Calculate the remainder when -3 - -2 - 7*u is divided by 4.
2
Suppose -2*r + 5*p = -3, 6*p - 51 = -4*r + p. Suppose b - 28 = 3*x, 93 - 37 = 2*b - 3*x. What is the remainder when b is divided by r?
1
Let p(j) = 4*j**2 + 7*j. Let w be p(-2). Suppose 0 = -w*n + 119 + 71. Calculate the remainder when n is divided by 32.
31
Let v(x) = 11*x - 42. Suppose -21 + 2317 = 56*y. What is the remainder when v(16) is divided by y?
11
What is the remainder when 756/(-6)*(38/(-4) - -2) is divided by 31?
15
Suppose -80*o + 94*o = 154. Suppose -9*d = -3*n - o*d + 40, -61 = -4*n + 5*d. What is the remainder when 69 is divided by n?
13
Suppose -45*q - 36 = -54*q. Calculate the remainder when 636/6 - (1 - q) is divided by 7.
4
Suppose 138 = 5*v + 3*s, 3*v + 6*s = s + 86. Let n = 203799 + -203681. What is the remainder when n is divided by v?
10
Suppose -5*g + 1956 - 146 = 0. Let l = g + -149. Calculate the remainder when l is divided by 18.
15
Let a = -94228 + 94277. Let s = -26 - -45. Calculate the remainder when a is divided by s.
11
Let k(f) = f**3 - 15*f**2 - f + 20. Let d be k(15). Calculate the remainder when (27 + -4)/(5/d) is divided by 12.
11
Suppose -14 = 11*t + 8. What is the remainder when 84 is divided by 4/(-30) + 2110/75 - t?
24
Let y(x) = -2177*x + 2*x**2 + 2182*x - 17 - x**3 + 25*x**2. What is the remainder when y(27) is divided by 61?
57
Suppose -2*n + 2 = 2*x, 3*x + 33 = 8*n - 5*n. Suppose 100 + 68 = n*h. What is the remainder when 51 is divided by h?
23
Let k(f) = 2*f**2 - 3*f + 9. Suppose -19*a + 17*a = -112. Let b be 1/(-4) + 182/a. What is the remainder when 67 is divided by k(b)?
13
Let q(z) = 3*z**2 + 210*z - 1580. What is the remainder when 170 is divided by q(7)?
22
Calculate the remainder when 6547 is divided by (131/(-5))/(491/(-2455)).
128
Let z = -2 - 3. Let b(s) = -s**2 - 7*s + 4. Let x(y) = 5916*y - 88734. What is the remainder when b(z) is divided by x(15)?
2
Let y = -3399 + 3532. Calculate the remainder when 1606 is divided by y.
10
Suppose q = 4*g - 2*g + 37, -3*g - 9 = 0. What is the remainder when q is divided by (-6 - -9)/((-14)/21 + 1 + 0)?
4
Let s = -6720 - -6783. What is the remainder when 153 is divided by s?
27
Let a(h) = -h**3 + 9*h**2 - 9*h. Let c = 9 + 2. Let z(y) = -y**2 + 10*y + 17. Let m be z(c). Calculate the remainder when a(m) is divided by 14.
12
Let a(u) = u**2 - 3*u + 9. Let k(o) = 10 + 13*o - 15*o**2 + 1 + 14*o**2. What is the remainder when a(-4) is divided by k(13)?
4
Let k(x) = x**2 + 28*x + 161. What is the remainder when 1459 is divided by k(-25)?
83
Suppose -n = v - 134, v - 78 = 4*n + 31. What is the remainder when 167 is divided by v?
38
Let y(t) be the third derivative of -19*t**4/24 - t**3/3 + 5*t**2. Suppose -5*a - 1551 = -1776. What is the remainder when a is divided by y(-1)?
11
Let v = 25 - -53. Calculate the remainder when v is divided by 1*3*16/6.
6
Let i = 817 - 720. Suppose 0 = 3*q - 3*a, 0 = -6*a + 3*a + 12. Suppose -p - q = -18. Calculate the remainder when i is divided by p.
13
Let y(i) = i**3 + 10*i**2 + 2*i + 9. Let t be y(-12). Let f = -197 - t. Calculate the remainder when f is divided by 16.
10
Let j(u) = 2*u**2 - 36*u - 1. Let y be j(18). Let k be (y + 0 + 1)/(-1) + 215. Suppose -17*m - k = -22*m. What is the remainder when 83 is divided by m?
40
Suppose -8573*m + 2728 = -8562*m. Calculate the remainder when m is divided by 102.
44
Let h(z) = -412*z + 2. Let k be 1*(7 + -6)*-1. What is the remainder when h(k) is divided by 83?
82
Let g(p) = -283*p - 1682. What is the remainder when 4429 is divided by g(-6)?
13
Let f = 1247 + -898. Calculate the remainder when f is divided by 22.
19
Let h(l) = -l**3 + 59*l**2 - 360*l + 2. Calculate the remainder when 20/(-2*2/(-18)) is divided by h(7).
0
What is the remainder when (-64)/8*(-14)/4 is divided by 7/(-14)*-2*19?
9
Suppose 0*u - 7*u = -14. Let q(b) = -6 + 0*b**2 + b**2 + 0 - u*b - b. Calculate the remainder when q(6) is divided by 7.
5
Suppose 10 = 2*p + 2*n, 0*p + 34 = 4*p - 3*n. Let h = -22859 + 22960. Calculate the remainder when h is divided by p.
3
Suppose -1359*f - 388 = -1362*f + 4*w, -f + 134 = w. Calculate the remainder when f is divided by 123.
9
Let o be 4 + 137 + 5*(-2 - -3). Suppose 3*a - 39 = -5*c + 206, 0 = -2*a + c + o. What is the remainder when a is divided by 19?
18
Let s be -20*6*(-30)/20. Suppose 0 = -l + 4*u + 18, -3*l + 75 = s*u - 185*u. What is the remainder when 110 is divided by l?
20
Let r be 3*-6*1/(-2). Let u(j) = -9*j - 3. Let t be u(-17). Suppose -r*i = -14*i + t. Calculate the remainder when 149 is divided by i.
29
Let a be (-60)/(-6) + -1 + (-2 - -2). Suppose 0 = -7*r + a*r - 18. Calculate the remainder when r is divided by 3.
0
Suppose 2*m + 2*v + 48 = 0, 2*v - 9 = m - 0. Calculate the remainder when (36 + 3)/(80/160) is divided by (0 - 0) + 2 - m.
15
Let j = -4665 - -6587. What is the remainder when j is divided by 13?
11
Let k = -64 + 69. Suppose -k*i = -4*u - 9, 1 = i - 4*u + 3*u. Suppose -134 = i*h - 5*r - 449, -191 = -3*h + 2*r. What is the remainder when h is divided by 17?
14
Suppose -5*s - 4*g + 64880 = 0, 3*g - 7494 - 5482 = -s. What is the remainder when s is divided by 126?
124
Let d(p) = p**3 - 44*p**2 + 510*p - 44. Calculate the remainder when d(13) is divided by 90.
87
Let w(g) = g**2 + 20*g + 58. Let c be w(-17). What is the remainder when 41 is divided by c + 4/(24/102)?
17
Let x = 9959 - 9235. What is the remainder when x is divided 