*f**3 + f**2. Let m be (5 - 1)*3/(-6). Let z(y) = -y - 3. Let v be z(m). What is the remainder when l(v) is divided by 19?
18
Let t(w) = 46*w + 212. What is the remainder when t(-4) is divided by 16?
12
Suppose 0 = u - 378*j + 382*j - 38, -4*u + 2*j + 98 = 0. What is the remainder when 567 is divided by u?
21
Let b(h) = 18*h - 2. Let w be b(-2). Let j = w - -64. Let u(q) = -q**3 + 7*q**2 - 6*q - 6. What is the remainder when j is divided by u(5)?
12
Let u = 131 - 87. What is the remainder when u is divided by 24?
20
Suppose 6*r - 11 = 1. Suppose 2*x + 2 = -r, 2*m - 16 = x. What is the remainder when 18 is divided by m?
4
Let c(a) = a**2 - 7*a + 9. Let m be c(11). Let r = 67 - m. What is the remainder when 26 is divided by r?
12
Let y(k) = 8*k + 60. Calculate the remainder when 378 is divided by y(-5).
18
Let u = -20 + 14. Let a(n) = -3 + 3*n - 2*n - 6*n + 0*n. Calculate the remainder when 80 is divided by a(u).
26
Let k(y) = -y**2 + y. Let u(z) = 10*z + 7. Let s be 16/(-9) + (-24)/108. Let b(v) = s*k(v) + u(v). What is the remainder when b(-8) is divided by 18?
17
Let n(p) = 26*p + 31. Calculate the remainder when n(5) is divided by 33.
29
Suppose -15 = 3*n, 5*t - t + 1 = -5*n. Let u be (t - 3) + 20/(-5). Calculate the remainder when 25 is divided by u - -7 - 4 - -7.
7
Suppose 3*q = 7 + 5. Let b(w) be the first derivative of -w**4/4 + 7*w**3/3 - 3*w**2/2 - 5*w - 7. What is the remainder when b(q) is divided by 8?
7
Suppose -6*t + 2*d = -4*t - 68, 0 = -3*t + d + 110. What is the remainder when t is divided by 6?
2
Let p = -3 + 3. Suppose p = 3*s + 2*s. Suppose 6 = 2*x - s*x. Calculate the remainder when 4 is divided by x.
1
Let q be (-5 + 5)/5 - (-2 - -17). Let f(p) = p**2 + 7*p - 37. What is the remainder when f(q) is divided by 43?
40
Let v(s) = 7*s + 0 - 10*s - 2 + s**2 + 4*s**2. Let g be v(-1). Let j = 91 + g. Calculate the remainder when j is divided by 25.
22
Suppose -2*z = -0*z. Suppose z = -2*j - 4 + 8. Suppose 0 = -j*w - 0*w + 44. What is the remainder when 64 is divided by w?
20
Let i(q) = -q**2 + 13*q - 13. What is the remainder when i(10) is divided by (5/10)/(1/12)?
5
Suppose 4 + 13 = 4*u + 5*t, 0 = -5*u - 2*t + 17. Let b be (u/9)/(5/15). What is the remainder when 28 is divided by (-1)/((1/(-8))/b)?
4
Let v = -2 + 10. Let s be (1 + -4)*1 + 9. Let w(f) = -f**2 + 7*f - 1. What is the remainder when v is divided by w(s)?
3
Let h be (-6)/4 - -1 - (-182)/52. Let l(j) = 3*j**2 - 6*j + 8. What is the remainder when 82 is divided by l(h)?
14
Let t = -15 + 24. Suppose 2*p - 65 = -13. What is the remainder when p is divided by t?
8
Let s(v) = -v**3 - 2*v**2 + 8*v + 7. Calculate the remainder when 83 - 3/(-24)*0 is divided by s(-5).
41
Suppose 10*q = 96 + 124. Suppose 0 = -19*t + 21*t - q. What is the remainder when 32 is divided by t?
10
Let m = 2941 + -2693. What is the remainder when m is divided by 9?
5
Suppose -k = 5*w - 2 + 1, -w + k - 1 = 0. Suppose -19*l + 298 + 120 = w. Calculate the remainder when 108 is divided by l.
20
Let v(t) = -t**2 - 8*t + 1. Let c be v(-6). Calculate the remainder when 101 is divided by (c/3)/(1/6).
23
Suppose 12*y - 405 - 87 = 0. What is the remainder when 488 is divided by y?
37
Suppose -13*s = -10*s + 24. Calculate the remainder when 43 is divided by -6*11/4*s/6.
21
Let f = 520 - 150. Calculate the remainder when f is divided by 30.
10
Suppose -x = 3*d - 75, d = 3*x + 31 - 246. Suppose 2*j - 4*j + x = 4*v, -j + v + 48 = 0. Suppose -4*n = -2*n - j. What is the remainder when n is divided by 8?
6
What is the remainder when 117/13 - (-1845 - 1) is divided by 116?
115
Let v = 2 + 6. Suppose -v*g + 165 = 13. Calculate the remainder when g is divided by 11.
8
Let v(g) = 5*g**2 + g + 1. What is the remainder when 2 + 15 + 1 - 11/11 is divided by v(-1)?
2
Let y(k) = -k**3 + 4*k**2 + 7*k - 6. Let d be y(4). Let n = 25 - d. Suppose n*g - 14 = g. Calculate the remainder when 13 is divided by g.
6
Suppose x - 6*x + 20 = 0. Suppose -45*w + 64*w = 513. Calculate the remainder when w is divided by x.
3
Let t = 17 + -15. Suppose 0 = 5*l + 5*h + 5007 + 2418, t*l - 4*h + 2988 = 0. Calculate the remainder when (-4)/(-3) + l/(-72) is divided by 8.
6
Let n = 1695 + -1553. Suppose -d = 4*p + 2*d - 128, -2*p + 2*d + 50 = 0. Suppose -79 = -3*w + p. Calculate the remainder when n is divided by w.
34
Let y = -17 + 71. Suppose -a = 5*a - y. What is the remainder when a is divided by 3*-5*(-2)/6?
4
Let f = 501 - 490. Let a be (-40)/(-12)*12/10. Suppose 4*j - 3*j = 0, 5*t = a*j + 20. Calculate the remainder when f is divided by t.
3
Let r be 4 + (-2 - -3 - 4). Let i(o) = 10*o**2 + 2*o**2 - r + 5*o**2 + o. Calculate the remainder when i(1) is divided by 5.
2
Let q = 113 + -105. Suppose -2*l = q, 6*x - 4*x - 58 = 3*l. Calculate the remainder when 59 is divided by x.
13
Suppose 4*r = 7*r + 177. Suppose -w - w - 152 = 4*f, 5*w - 4*f = -436. Let p = r - w. What is the remainder when p is divided by 14?
11
Let a = 3219 - 3017. What is the remainder when a is divided by 196?
6
Let y(m) = 3*m**2 - 8*m - 12. Let z be y(-10). Suppose -14*o = -18*o + z. Calculate the remainder when o is divided by 19.
16
Suppose -30*p + 32*p = 152. Calculate the remainder when p is divided by 45.
31
Suppose 2*d + 0*t - 4*t = 12, -2*d + 9 = -3*t. Let j(o) = o**2 + 6 + d*o + 1 + 13*o. What is the remainder when j(-14) is divided by 6?
3
Suppose -5*a + 4*s - 8 = 0, 2*s + 0*s - 4 = 3*a. Suppose a*k = 4*k - 148. Calculate the remainder when k is divided by 8.
5
Let w(i) be the third derivative of -7*i**4/24 - 41*i**3/6 + 21*i**2 - 3*i. What is the remainder when w(-13) is divided by ((-3)/2)/3*-34?
16
What is the remainder when 153 is divided by (166/(-8))/(-1) + (-45)/60?
13
Suppose -9 + 31 = q. Suppose -q - 14 = -3*a. Let o(l) = 19*l**2 + l. What is the remainder when o(1) is divided by a?
8
Suppose 4*y + 305 = -99. Let a = -79 - y. What is the remainder when 61 is divided by a?
17
Let k = 0 - -9. Suppose -4*l = -2*l + 3*g - 26, -g - 28 = -3*l. What is the remainder when (0 + 35/10)*l is divided by k?
8
Calculate the remainder when (1 - 2/3) + (-12696)/(-414) is divided by 11.
9
Suppose -2*t - 356 = -6*t. Suppose 4*b + 2*d - 68 = 128, -2*b = -2*d - 110. Suppose -3*i = -18 - b. What is the remainder when t is divided by i?
20
Suppose 4 + 11 = 5*w. Suppose 0*g - 3*r = 2*g - 3, 5*r + 5 = 0. What is the remainder when w is divided by g?
0
Let p = -38 - -128. What is the remainder when p is divided by 26?
12
Suppose 0 = -22*b - 18*b + 52640. What is the remainder when b is divided by 55?
51
Let s be -1 - (3 - (1 - -3)). Suppose 3*y + 55 - 250 = s. Let i = 48 + -31. Calculate the remainder when y is divided by i.
14
Let w(x) = -3*x + 1. Suppose 0 = 11*q - 205 - 191. Calculate the remainder when q is divided by w(-6).
17
Suppose -5*h + 2*q + 2 = 0, -20 = -4*h - 0*h - 3*q. Let g(z) = 15*z - 5. What is the remainder when 72 is divided by g(h)?
22
Suppose 2441*w = 2449*w - 3032. What is the remainder when w is divided by 55?
49
Suppose 0 = -6*v + 16 + 86. Let c = -2 - -9. Let h = v - c. Calculate the remainder when h is divided by 3.
1
Let o = -26 + 25. Let x = o + 20. Calculate the remainder when 129 is divided by x.
15
Let m = 227 + -221. Let n(f) = -f + 3. Let c be n(4). Let d = 3 + c. Calculate the remainder when m is divided by d.
0
Suppose 2032 = -7*s + 23*s. Calculate the remainder when s is divided by 12.
7
Suppose 154 = 4*b - 102. Let t = -32 + b. Calculate the remainder when t is divided by 7.
4
Let b be -13 - 3/(9/(-12)). Let y(h) = h**3 + 10*h**2 + 3*h - 24. What is the remainder when y(b) is divided by 16?
14
Let w(x) = x**2 - 8*x + 42. Calculate the remainder when w(13) is divided by 3.
2
Suppose 78 = -2*i - 0*i. Let j = i + 7. Let b = 106 + j. Calculate the remainder when b is divided by 26.
22
Suppose -16*s - 417 = -2913. Let j = s - 153. What is the remainder when 12 is divided by j?
0
Suppose -6*q + 55 = -59. What is the remainder when 48 is divided by q?
10
Let y(w) = -2 + w**3 - 5*w**2 + 2*w - 6*w**2 - w + 0. What is the remainder when (0 - -70)*(-2)/(-4) is divided by y(11)?
8
Calculate the remainder when ((-35)/(-10) + -5)*-292 is divided by 77.
53
Suppose -113 = -4*v + 5*d, 4*v - 2*d = d + 111. What is the remainder when v is divided by 11?
5
Let