8.
16
Let i = -17 + 85. Let l = -53 + i. What is the remainder when l is divided by 8?
7
Let v(m) = 5*m**3 + 2*m**2 + 4*m - 20. Calculate the remainder when v(3) is divided by 30.
25
Let w(t) = t**3 - 36*t**2 + 68*t + 74. What is the remainder when 219 is divided by w(34)?
71
Let u = -992 + 1026. What is the remainder when 712 is divided by u?
32
Let i be (-4 + -79)*1*-1. Suppose -i = -3*j - 32. Calculate the remainder when 259/4 + (-5)/(-120)*6 is divided by j.
14
Let u(a) = 33*a**2 - 2*a. Let k be u(2). Let l = -86 + k. What is the remainder when l is divided by 22?
20
Suppose 62*r - 47*r = 960. What is the remainder when 196 is divided by r?
4
Let b = 267 - 190. What is the remainder when b is divided by (78/(-65))/(39/(-650))?
17
Let a(y) = 2*y**2 + 4*y + 8. Suppose -452 + 72 = -19*h. What is the remainder when a(-6) is divided by h?
16
Suppose 932 - 150 = 23*c. Calculate the remainder when (-3)/(3/2) - -66 is divided by c.
30
Let t(m) = -m**3 + 7*m**2 - m + 9. Let p be t(7). Suppose 0 = p*l - 10, 7*l = -4*v + 2*l + 89. What is the remainder when 62 is divided by v?
14
Let u(w) = w**2 - 7*w - 15. Let i(x) = x. What is the remainder when u(13) is divided by i(11)?
8
Let m = -84 + 134. Calculate the remainder when 143 is divided by m.
43
Calculate the remainder when 169 is divided by -10 + 107 - (-3 - -13).
82
Let y(d) = d - 1. Let q(o) = -o**2 + 3*o + 3. Let w be q(4). Let k(h) = -6*h - 4. Let l(n) = w*k(n) - 2*y(n). What is the remainder when l(6) is divided by 8?
6
Let o = -49 - -84. Let w = -51 + 63. Calculate the remainder when o is divided by w.
11
Suppose -p = -126 + 49. What is the remainder when p is divided by 20?
17
Let u(c) = 2*c**3 - 2*c**2 - 42*c + 106. Let y = 120 - 75. Calculate the remainder when y is divided by u(3).
13
Let m = -18 + 21. Suppose 5 = -m*o - 49. Let u = o + 49. Calculate the remainder when 91 is divided by u.
29
Let x = 7 - 5. Let g be (2 - (1 - -1))/x. Suppose g = 4*d - 2*n - 1 - 9, 5 = 5*n. What is the remainder when 7 is divided by d?
1
Let x = 242 - -10. Suppose 2*z = t - 5*t + 804, 5*t = -2*z + 807. Suppose 5*m - 743 + x = -3*r, 4*m = -4*r + z. Calculate the remainder when m is divided by 33.
31
Let p = -1346 - -1380. What is the remainder when p is divided by (-134)/(-26) + (-2)/13?
4
Let y = -27 - -50. Let i be (-2)/(-1)*-1*10. Let v = 29 + i. Calculate the remainder when y is divided by v.
5
Suppose -8*r + 366 - 230 = 0. What is the remainder when 214 is divided by r?
10
Let z(i) = 3*i**2 - 3*i. Let f be z(2). Suppose 3*j + f*j = 225. Calculate the remainder when 48 is divided by j.
23
Let s(u) = u + 8. Let j(k) = -k**2 + 5*k - 5. Let l be j(3). Suppose a = 3 + l, 5*a = 4*v - 12. What is the remainder when v is divided by s(-6)?
0
Suppose 0 = -p - 4*n - 16, -4*n = -0*p + 4*p + 4. Suppose 7*b - p*b = 12. Suppose 0 = -0*i - b*i + 132. Calculate the remainder when i is divided by 13.
7
Suppose -671*u = -672*u + 16. Calculate the remainder when u is divided by 9.
7
Let c = -17 - -29. Let h be -27 + (5 - 1) + -4. Calculate the remainder when (-14)/1*h/18 is divided by c.
9
Suppose 7*q = 2*q - 3*z + 11, -4 = -2*q - z. Calculate the remainder when 13 is divided by (3 - 4)*(-8)/q.
5
Let w = 24 + -10. Suppose -2*h = -48 + w. Calculate the remainder when (-48)/(-20)*(1 + 19) is divided by h.
14
Let z(t) = 2*t - 8. Let o be z(12). Let j = -10 + o. Calculate the remainder when (-260)/(-15) + 1*2/(-6) is divided by j.
5
Let n(v) be the first derivative of v**4/4 + 13*v**3/3 - v**2/2 - 6*v - 14. What is the remainder when 14 is divided by n(-13)?
0
Let n(b) = b**3 + 7*b**2 - 6*b - 30. Let o be n(-7). Suppose 0 = -0*z + o*z - 696. Calculate the remainder when z is divided by 15.
13
Suppose -3*d - 2*n + 395 = 0, 3*n - 137 = -d + n. What is the remainder when d is divided by 22?
19
What is the remainder when ((-8)/(-20))/((-16)/(-1600)) is divided by 30?
10
Suppose -4*p = -0*p - 188. Suppose 0 = 180*j + 1372 - 3712. What is the remainder when p is divided by j?
8
Suppose -2*x + 10 = 2*c - 6*x, 7 = 5*c - x. What is the remainder when 9 + 0*3/(-3) is divided by 3 - ((-1)/c - 2)?
3
Let h = 8 - 2. Suppose a + 15 = h*a. Suppose -a*d + 4*l = -9 - 7, -6 = -d + l. What is the remainder when 14 is divided by d?
6
Let a(r) = -r**3 - 11*r**2 - 26*r + 23. What is the remainder when 70 is divided by a(-7)?
7
Let g(i) = i**3 - 2*i. Let b be g(2). Suppose -4*t - 172 = -b*z, -2*z + 3*t - 129 = -5*z. What is the remainder when z is divided by 16?
11
Let d = -14 - -19. Suppose 10 = -d*a - 2*g - 3, a = 5*g + 19. What is the remainder when 60 is divided by 9 + (1 + a)/(-1)?
6
Let w = 65 + -33. What is the remainder when w is divided by 12?
8
Calculate the remainder when (0 - 200)/((-11)/(17 - -5)) is divided by 102.
94
Suppose j + 5*f + 10 = 4*j, -2*j - 6 = 3*f. Suppose j = -5*q + 91 + 129. What is the remainder when 131 is divided by q?
43
Let f = 80 - 78. Suppose 6*p = -f*z + 9*p + 87, 5*z + 4*p - 183 = 0. Calculate the remainder when z is divided by 11.
6
Suppose w - 25 = -4*w + 2*r, -4*w + 27 = -3*r. Suppose -2*s + 3*s + 4*o + w = 0, -o = -3*s + 30. What is the remainder when 43 is divided by s?
7
Suppose -14*a = 707 - 833. What is the remainder when 23 is divided by a?
5
Let b = 12099 - 12074. Suppose -l + 4 = v + 1, -2*v + 8 = l. Suppose v*i = -8 + 498. What is the remainder when i is divided by b?
23
Let k(u) = -u + 11. Let s(i) = 1. Let h(c) = k(c) - 3*s(c). Let y = -132 + 123. Calculate the remainder when 65 is divided by h(y).
14
Suppose 40*o + 778 = 42*o. What is the remainder when o is divided by 56?
53
Calculate the remainder when 127 is divided by (52/5)/(3/((-90)/(-12))).
23
Let f(x) = 5*x + 39. What is the remainder when f(8) is divided by 29?
21
Let x(p) = 25*p - 1. Suppose 0 = 18*d - 15*d + 3. Let t(j) = 17*j**2 + 3*j + 3. Calculate the remainder when x(2) is divided by t(d).
15
Suppose 5*s + 86 = 6. Let n = s - -37. Calculate the remainder when 41 is divided by n.
20
Let f = -12 - -17. Suppose -f*x - 68 = 107. Let v = 113 + x. Calculate the remainder when v is divided by 20.
18
Let y(q) = 59*q + 440. What is the remainder when y(-5) is divided by 21?
19
Suppose 0 = 3*w - 5*d + 7 - 4, 2*d = w + 2. Let j(t) = 10*t - 25. Suppose b = -5 + 34. Calculate the remainder when b is divided by j(w).
14
Let o = -186 - -203. Calculate the remainder when 100 is divided by o.
15
Let t be (-2)/((15/6)/(-5)). Suppose -t*p = p - 85. Let s = -262 - -291. What is the remainder when s is divided by p?
12
Let f = 1 + 1. Let c(p) = p + p + f + 4*p + 2. What is the remainder when c(7) is divided by 12?
10
Let p(d) = 3*d + 23. Suppose 4*n = -3*x - n - 6, 3*n - 8 = 4*x. Let j(c) = -c**2 - 4*c + 1. What is the remainder when p(-3) is divided by j(x)?
4
What is the remainder when 478 is divided by (-1 - -76)*(5 + 23/(-5))?
28
Suppose -76 = -3*q - q. Calculate the remainder when (2 - 4)*(-2 - 15) is divided by q.
15
Suppose -105 = -0*i - 5*i. Let m = i - 6. Let d = m + 41. What is the remainder when d is divided by 15?
11
Suppose -27*x + 39*x - 528 = 0. Calculate the remainder when x is divided by 6.
2
Let b = -3 + 3. Suppose -2*h + 8 + 2 = b. Suppose 58 = h*r - 62. Calculate the remainder when r is divided by 13.
11
Let t be (34/4)/((-1)/(-2)). Suppose -5*y - 5*w = -8*w - 17, 3*y + 2*w = -5. What is the remainder when 35 is divided by t - (0 - 2)/y?
16
Suppose 6*i + 2*i = 2*i. Suppose i = 3*u + 102 - 378. What is the remainder when u is divided by 24?
20
Let b be (32/12)/(4/(-6)). What is the remainder when 10 + (4/(-4) - b) is divided by 8?
5
Let q = -5 - -19. Suppose 0 = 3*c - q - 31. Let h(t) = -t**2 - 2*t + 6. What is the remainder when c is divided by h(0)?
3
Let l(n) = n**2 - 8*n + 15. Let k(u) = -2*u**2 + 17*u - 30. Let j(t) = 3*k(t) + 5*l(t). Calculate the remainder when 23 is divided by j(3).
5
Let z(m) = -m**3 - 21*m**2 - 103*m - 23. Calculate the remainder when 92 is divided by z(-14).
45
Let s = 1 + 10. Let d = 14 - s. Suppose -177 = d*r - 6*r. Calculate the remainder when r is divided by 30.
29
Suppose 2*l + 6*i = i + 150, 346 = 5*l - 2*i. What is the remainder when l is divided by 42?
28
Let b = 15 - 27. Suppose n + l - 2 = 0, -2*n = -3*n - 5*l - 10. What is the remainder when 45 is divided by (b/n)/((-9)/60)?
13
Suppose 4*q + 