et d(l) = l + 1. Let r be d(-3). What is the remainder when 49 is divided by (102/12)/(-1 - 3/r)?
15
Let f(m) = m**3 - 5*m**2 - 22*m - 1. Calculate the remainder when 251 is divided by f(8).
11
Suppose 0*j - 82 = -2*j. What is the remainder when j is divided by 22?
19
Suppose -4*p = 2*w + 2, -w + 0*w = -4*p + 1. Suppose z + 6 = -c - 3*c, p = 3*z + c - 4. Suppose 2*a - 168 = -z*a. What is the remainder when a is divided by 22?
20
Let o = 1079 + -1017. What is the remainder when 244 is divided by o?
58
Suppose s - 3*a - 25 + 2 = 0, 79 = 2*s + 5*a. What is the remainder when 361 is divided by s?
9
Let v(a) = -a**3 + 4*a**2 - 2*a + 7. Let b be v(3). Calculate the remainder when 6/(5/(35/2)) is divided by (-8)/b*15*6/(-12).
3
Let f(u) = -u**3 + 15*u**2 + 45*u - 32. What is the remainder when f(15) is divided by 17?
14
Let p = -1904 - -1958. Calculate the remainder when 1187 is divided by p.
53
Let r(f) = -f**3 - 15*f**2 - 23*f + 58. What is the remainder when 82 is divided by r(-13)?
6
Suppose -2*f + 2*j + 6 = 0, -5*f + 0*f - 4*j + 6 = 0. Suppose -s + 1 = -f. What is the remainder when 27 is divided by 12 - -3 - s/3?
13
Let r(i) = -i**3 - i**2 - 6*i + 1. Calculate the remainder when r(-6) is divided by 37.
32
Let k = 172 - 122. Calculate the remainder when 91 is divided by k.
41
Let c(m) = -m**3 + 5*m**2 + 6*m - 6. Let j be c(6). Let z(w) = w**2 + 7*w - 2. Let n be z(j). What is the remainder when n/(-10)*(-585)/(-18) is divided by 9?
8
Let f(s) = 2*s**3 + 46*s**2 + 6. Let k be f(-23). Suppose k*n - 696 = 594. What is the remainder when n is divided by 55?
50
Let x(z) = -z**2 + 24*z + 34. Let a be x(20). Suppose -104 = c - a. Let o = -9 - -47. What is the remainder when o is divided by c?
8
Suppose -k - 79 = 34. Let w = k + 197. Let g = 123 - w. What is the remainder when g is divided by 14?
11
Let k be -2*1 - (-8)/(-10 - -6). What is the remainder when 8/k - -5 - (-40 - 3) is divided by 16?
14
Let m = -2 + -6. Let y be (-2 - -6) + m + -8. Calculate the remainder when 129 is divided by (y/10)/(2/(-55)).
30
Suppose -4*l + 1009 + 687 = 2*q, -5*q - 424 = -l. Suppose 0 = 6*z + 2*z - l. What is the remainder when 156 is divided by z?
50
Let a(w) = 3*w + 40. Calculate the remainder when 1238 is divided by a(-3).
29
Let a(j) = -j**2 + 4*j + 1. Let l be a(3). Let n = -18 + 24. What is the remainder when (-473)/(-44) + 1/l is divided by n?
5
Let v = -935 + 1151. Calculate the remainder when v is divided by 64.
24
Let n(v) = -v**2 - 15*v + 111. Suppose 4*y - 17 = -5*p, -3 - 1 = 2*y. What is the remainder when n(-18) is divided by p?
2
Suppose -5*d + 4*q + 27 = 0, -d - 5 = 2*q - 2. Suppose d*b - 96 = b. Let r = 83 - b. What is the remainder when r is divided by 9?
8
Let s be 1/(-2) - (-154)/(-28). Let v be ((-15)/s)/((-2)/(-4)). Let c(o) = -o**3 + 8*o**2 - 6. Calculate the remainder when c(v) is divided by 36.
33
Suppose -23*s + 25*s = 6. Suppose s*p = -9*p + 48. What is the remainder when 47 is divided by p?
3
Suppose -5*n + 4*x - 2*x = -37, 0 = -3*n - 5*x + 16. Suppose 1 - n = -3*o. Let v(c) = -c**2 - 7*c + 7. Calculate the remainder when v(-7) is divided by o.
1
Let j = -116 - -166. Let w = j - 25. Calculate the remainder when w is divided by 7.
4
Let h(d) = -7*d. What is the remainder when h(-3) is divided by (-45)/10*(-4)/3?
3
Let l = -2941 + 3049. What is the remainder when l is divided by (-3 + 5)*19*1?
32
Let n = 42 - -10. Suppose 4*w = -4*y + n, -3*y + 53 = -5*w - 18. Let g = -19004 + 19008. Calculate the remainder when y is divided by g.
1
Let r = 2330 - 2296. Calculate the remainder when 3397 is divided by r.
31
Let j = 1 - -57. Let p = -36 - -46. What is the remainder when j is divided by p?
8
Suppose -5*b + 5*n + 265 = 0, 5*n + 12 + 109 = 2*b. Let l = 356 + -167. What is the remainder when l is divided by b?
45
Let i(n) = n + 7. Let w be i(-3). What is the remainder when 305 is divided by (2*6/w)/(12/176)?
41
Let l(p) = 2*p**2 - 3*p - 3. Let b be l(3). What is the remainder when (-4)/b*(-612)/24 is divided by 5?
2
Suppose 9*i - 11*i - 50 = 0. What is the remainder when (-24)/12 - 1*i is divided by 8?
7
Let q(y) = -y**3 - 16*y**2 + 14*y + 16. Suppose 0 = g - 3*m - 26, -4*g + 0*m = -2*m - 74. What is the remainder when q(-17) is divided by g?
16
Let a(u) = 8*u**2 + 214*u + 34. Calculate the remainder when a(-29) is divided by 62.
60
Suppose -161*y = -154*y - 4774. What is the remainder when y is divided by 57?
55
Suppose 3*p = 5*p - 8. Suppose 2*l - p = 16. What is the remainder when 12/21 + (-1110)/(-42) is divided by l?
7
Suppose 46 = -2*f - 2*h, -3*f - 5*h - 98 + 21 = 0. Let i = 13 + 11. Let o = f + i. Calculate the remainder when 17 is divided by o.
2
Suppose 2*p = -16*p + 990. Calculate the remainder when 272 is divided by p.
52
Suppose -320 = -4*s - 5*f, 8*s - 4*s - f = 320. What is the remainder when s is divided by 27?
26
Suppose 30 = 15*f - 5*f. Suppose -4*o = -2*o - i - 28, -35 = -f*o - 2*i. Calculate the remainder when 64 is divided by o.
12
Let k(m) = -m**3 + 20*m**2 + 21*m + 2. Let f be k(21). Suppose 0*h = -f*h + 18. Let v = 28 + 16. What is the remainder when v is divided by h?
8
Suppose -4*x - 2*u + 22 = 0, -4*x = 3*u + 4 - 21. Suppose -30 = l - 6*l. What is the remainder when x is divided by l?
2
Suppose -n - 7 = -3*o - 23, 0 = 4*n + 5*o + 4. Suppose 30 = n*j - 46. Calculate the remainder when 35 is divided by j.
16
Let h be (18/(-4))/(15/(-20)). Let f = -1 + h. Let y(n) = n**3 - n**2 + 6. Calculate the remainder when y(0) is divided by f.
1
Suppose -h = -2 - 1. Suppose h*i - 115 = 14. What is the remainder when i is divided by 16?
11
Suppose -5*y = -207 - 68. What is the remainder when y is divided by 3?
1
Calculate the remainder when 288 is divided by 8381/102 - ((-13)/(-6) - 2).
42
Let n = 887 - 678. What is the remainder when n is divided by 21?
20
Suppose -5*b - u + 49 = 3*u, 5*b - 69 = u. Suppose -9*r = -b*r + 188. What is the remainder when 93 is divided by r?
46
Let r(z) = 2*z + 11. Let m be r(-4). Let w(a) = 2*a**2 + a + 4. Let k be w(m). What is the remainder when (0 - 1)*(-17 - k) is divided by 22?
20
Let r(p) = 0*p + 15 + 0*p + 9 - 2*p. Let f = 22 - 13. What is the remainder when r(-5) is divided by f?
7
Suppose -172 - 476 = -9*o. Suppose -5*a + 25 = -160. Calculate the remainder when o is divided by a.
35
Let s(o) = 4*o**2 - 56*o - 174. What is the remainder when 477 is divided by s(-3)?
27
Let q(v) = -2*v**2 - 43*v + 101. What is the remainder when 254 is divided by q(-23)?
30
Let x(v) be the second derivative of -31*v**3/6 - 3*v**2/2 - 9*v. What is the remainder when 173 is divided by x(-2)?
55
Suppose 6 = x + 2. Suppose -2*p + 0*p - 79 = -w, -x*p - 247 = -3*w. Calculate the remainder when w is divided by 18.
17
Suppose 0 = -b + 6 - 0. Suppose -5*j + 36 = -3*q, 30 + 9 = 4*j + q. Calculate the remainder when j is divided by b.
3
Calculate the remainder when 243 is divided by 15/((-110)/(-210) - 2/21).
33
Suppose -3*h - 128 = 4*j, h = 5*h + 16. Let g = j - -64. What is the remainder when 67 is divided by g?
32
Suppose 2*u - 6 = 2. Suppose -u*s + 1326 = -s. Suppose 3*p + 146 = r + 400, 5*p - s = -3*r. Calculate the remainder when p is divided by 22.
20
Let a be ((-84)/60)/(1/(-5)). Let y(w) = 3*w - 19. Let z be y(a). Suppose -5*s + 3*b = -94, -s + 14 = z*b - 10. What is the remainder when 58 is divided by s?
18
Suppose 2*h - 12 = -v + 8, 4*h = -5*v + 34. Let l(k) = -k**3 + 12*k**2 - 9*k + 1. Let z(f) = -11*f + 1. What is the remainder when z(-6) is divided by l(h)?
21
Let k = -42 + 77. Suppose -2*d = 5*z - 131, -z + k = -0*d - 4*d. What is the remainder when 188 is divided by z?
26
Let q = 8 + 1. Let x(i) = 11*i + 32. What is the remainder when x(0) is divided by q?
5
Suppose 7*q - 2 = 6*q. Suppose w + 9 = q*w. Suppose -w = -2*f - f. Calculate the remainder when f is divided by 3.
0
Suppose 15 = -4*g + 7*g, -x + 3*g + 84 = 0. Calculate the remainder when x is divided by 52.
47
Let x = 31 + 4. Let f = -29 + x. Calculate the remainder when f is divided by 4.
2
Let v be (-22)/33*(-6)/2. Suppose v*j = -4*f - 74, 0*j - 5*j = f + 167. Let p = -24 - j. Calculate the remainder when 44 is divided by p.
8
Calculate the remainder when ((-34)/6)/(41/(-738)) is divided by 8.
6
Let p = 27 + -5. Suppose -11 = -c - 6. Calculate th