 x(c) be the third derivative of c**4/12 - 19*c**3/6 - 9*c**2. Let u be x(10). Calculate the remainder when 26 + -13 - (4 - u) is divided by 3.
1
Let b(y) = 3*y**2 + 14*y - 7. Suppose -4*w - 14 = 3*x - 0*w, 2*w + 32 = -4*x. What is the remainder when b(x) is divided by 31?
29
Suppose -61*s = -102*s + 738. What is the remainder when 375 is divided by s?
15
Let o(b) = b**3 + 4*b**2 - 2*b + 3. Let k be o(-4). Suppose -13 = -4*l + k. Calculate the remainder when 59 is divided by (2 - -6)*l/4.
11
Suppose -v = 3*r - 6*v - 77, -2*r = 2*v - 30. Calculate the remainder when 148 is divided by r.
15
Suppose 2*d + 210 = 8*d. Calculate the remainder when 174 is divided by d.
34
Suppose 8*l - 226 - 78 = 0. Suppose 0 = -4*p + l + 10. Suppose -2 = 2*r - p. What is the remainder when 23 is divided by r?
3
Let m = -48 + 71. Suppose -21*f = -20*f - 40. Calculate the remainder when f is divided by m.
17
What is the remainder when 76/6*(5 + -2) is divided by 2?
0
Let r = 205 + 72. Calculate the remainder when r is divided by 7.
4
Let w = 1 + 10. Suppose f - 3*f + 2*i + 36 = 0, -2*f + 42 = -4*i. Calculate the remainder when -4*w/(-2)*2 is divided by f.
14
Let u(d) = -d**3 - 2*d**2 - 3*d. Suppose -5*c = -5*h - 385 + 90, 0 = h - 5. Suppose -3*i - c = -94. Calculate the remainder when i is divided by u(-2).
4
Suppose 2*f = -5*q - 3 + 100, 4*f - 2*q = 254. Calculate the remainder when 116 is divided by f.
55
Suppose 2*z - 14 = -0*z + 5*s, -3*z + 31 = -5*s. Calculate the remainder when 12*(-82)/(-8) + -3 + -3 is divided by z.
15
Let p = -9 + 91. Suppose -3*w - 124 = -4*a, -4*a - 5 = -4*w - 133. Calculate the remainder when p is divided by a.
26
Suppose 10*g = 96 - 26. Calculate the remainder when 87 is divided by ((-826)/(-8))/g - 1/(-4).
12
What is the remainder when (-4)/((-6)/(2 - -136)) is divided by 27?
11
Suppose -2*r - 2*c = -42, -12*r + c = -15*r + 69. Calculate the remainder when r is divided by 20.
4
Let u(l) = -l**2 - 9*l + 54. Calculate the remainder when u(0) is divided by 29.
25
Let h be 1 + -4 - -4 - -58. Suppose h + 81 = 5*b. Suppose -b = 4*q - 88. Calculate the remainder when q is divided by 9.
6
Suppose 3*i + o = 465, 2*o - 893 = -5*i - 119. What is the remainder when 36 is divided by (1/(-3))/((-4)/i)?
10
Let c = -25 + 28. Suppose c*i - 191 = -4*n, 0 = -4*i + 2*n + 3*n + 234. Calculate the remainder when i is divided by 21.
19
Suppose -3*j + 2*j = -2*n + 55, -j + 3 = 0. Let w(m) be the second derivative of 13*m**3/6 - 3*m**2/2 + 22*m. What is the remainder when n is divided by w(1)?
9
Suppose -3*z + 32 - 7 = 5*o, 3*z = -3*o + 9. What is the remainder when 134 is divided by o?
6
Let v(o) = -o - 3. Let p be v(-4). Let d(s) = 2 + s - 4*s + 4*s + 2*s. Calculate the remainder when 8 is divided by d(p).
3
Let x = 2604 + -1907. Calculate the remainder when x is divided by 25.
22
Let u(r) = -22 - 4*r + 5 + 3*r. Let l(p) = 1. Let m(y) = -22*l(y) - 2*u(y). What is the remainder when 95 is divided by m(6)?
23
Suppose 0 = 2*m + 4*w - 3*w - 31, -4*w - 63 = -3*m. Suppose 0 = -14*t + m*t - 33. Calculate the remainder when t is divided by 8.
3
Let i(o) = o**2 + 16*o - 23. Calculate the remainder when i(8) is divided by 43.
40
Suppose -3*r + 2 + 3 = -5*g, -g - 2*r = -12. Suppose 0*v - 66 = -g*v. Suppose 0 = 5*a - 62 - v. What is the remainder when 36 is divided by a?
17
Let j = -278 - -289. What is the remainder when 23 is divided by j?
1
Suppose 171*w - 10883 = 2009 + 5234. Calculate the remainder when w is divided by (27/(-6))/(1/(-2)).
7
Suppose 42*k - 18*k - 1080 = 0. What is the remainder when k is divided by 10 - 1*(1 + -3)?
9
Suppose u = -m + 4*u - 23, 5*m = -u - 131. Let h = m - -53. What is the remainder when 52 is divided by h?
25
Suppose 0 = u + 4*y - 70, -5*u - 3*y + 306 = -5*y. What is the remainder when u is divided by 18?
8
Suppose -4*s = 5*v - 159 - 137, 5*s - 235 = -4*v. What is the remainder when (165/v - (-2)/(-8))*52 is divided by 34?
28
Let c(a) = -a**3 + 8*a**2 + 11*a - 5. Let l be c(9). Let f(w) = 1 - 3 + 10 + l - w. Calculate the remainder when f(11) is divided by 7.
3
Suppose 3*o = -2*x + 92, 0 = -2*o - 3*x + 7 + 51. Let b = 61 - o. Let u = 88 - 80. Calculate the remainder when b is divided by u.
5
Let i be 10/(-3)*108/(-30). Let q = -9 + i. Suppose q*f = 49 + 173. What is the remainder when f is divided by 19?
17
Let b(o) = -3*o - 1. Let l be b(-1). Let d be 1/2 + l/4. Calculate the remainder when 13 is divided by ((1 - 0)*5)/d.
3
Let n be -1 + (-2)/1 + 2. Let x be 4*n*3/(-6). Suppose x*q = -8, -268 = -b - 3*b + 2*q. Calculate the remainder when b is divided by 17.
14
Calculate the remainder when 349 is divided by (-25)/(-75) + -2 + (-220)/(-6).
34
Let g(w) = 5*w - 49. Let m be (23 + -27)/(2/(-8)). What is the remainder when g(m) is divided by 6?
1
Suppose 21*u = 19*u + 70. Suppose 19 = 6*k - u. Calculate the remainder when 23 is divided by k.
5
Suppose 0 = -4*g + a + 152, a + 42 - 4 = g. What is the remainder when g is divided by 13?
12
Suppose 0 = -3*d, 6*i - 5*d - 15 = 3*i. Suppose 0 = i*h - 4*a - 210, -3*h + 31 = -2*h - 3*a. Calculate the remainder when h is divided by ((-4)/5)/(2/(-40)).
14
Suppose -5*q - 15 = 0, 2*q - 2 = -4*o + 2*o. Suppose 6*w - 52 - 56 = 0. Calculate the remainder when w is divided by o.
2
Suppose 4*z - d - 43 = 0, -z - 4*d = -5 + 7. Let n = 10 + -5. Suppose 4*t + z = n*t. What is the remainder when t is divided by 4?
2
Let n(b) = 2*b**2 - 11*b - 5. Suppose 38 = -r + 45. What is the remainder when 30 is divided by n(r)?
14
Let w(q) = 2*q - 8. Let b be w(15). Let v = b - -6. What is the remainder when 110 is divided by v?
26
Suppose -i + f + 4 = -1, i - 20 = -4*f. Let p(t) = t**3 - 5*t**2 - 7*t + 2. What is the remainder when p(i) is divided by 35?
33
Let w = 6 - 4. Suppose -5 = q + 2*a - 4, -2*q - 2*a = 0. Suppose -5 = -2*l + q. Calculate the remainder when l is divided by w.
1
Let q(v) = 2*v - 18. Calculate the remainder when 148 is divided by q(12).
4
Let o = -1 + -7. What is the remainder when 11 is divided by (o/(-6))/((-16)/(-72))?
5
Suppose 0 = -2*l + 3*h + 45, 3*l + 5*h = -0*l + 58. Let j(g) = -g**2 - 9*g**3 + 3*g + 3*g - 7*g - g**2. What is the remainder when l is divided by j(-1)?
5
Suppose h + 52 = n, -h - 152 = -3*n - 0*h. What is the remainder when n is divided by 11?
6
Let m(v) = -v + 126. What is the remainder when m(33) is divided by 6?
3
Suppose 0 = -11*h + 15*h - 392. Calculate the remainder when 193 is divided by h.
95
Let b(l) = l**2 + 4*l + 1. What is the remainder when b(-8) is divided by (1 - 4 - -5)/(7/42)?
9
Suppose 2*v + 45 = 57. Let k(a) = 3*a + 6. Let q be k(-6). Calculate the remainder when v is divided by (3/(-2))/(q/16).
0
Suppose -9 = -5*a - 34. What is the remainder when (-3)/a + (-468)/(-20) is divided by 7?
3
Let m(h) = -4*h - 50. What is the remainder when 50 is divided by m(-17)?
14
Suppose -6*q + 4*q + 10 = 0. Suppose 0 = -q*f + f + 140. What is the remainder when f is divided by 12?
11
Let m = 565 + -544. Suppose 0*n + 297 = 3*n. What is the remainder when n is divided by m?
15
Let x(w) = w**3 + 24*w**2 - 84*w - 21. Let j(f) = -7*f. Calculate the remainder when x(-27) is divided by j(-3).
18
Let w(f) = f**2 + 19*f - 18. Let x be w(-20). Suppose a - x*s - 14 = 0, -5*s + 4 = 2*a + 2*a. Calculate the remainder when 65 is divided by a.
5
Let x(o) = 21*o**3 - 2*o**2 + 3*o - 2. Let u be x(1). Suppose 0 = -4*w + 4*z + 364, -z + u = 3*z. Calculate the remainder when w is divided by 20.
16
Suppose 27 = -q + 4*q. Let z = 31 - -11. Let p = z + 20. What is the remainder when p is divided by q?
8
Let x(j) = 20*j. Let l be x(-2). Let d = 59 + l. Let m = d - 10. What is the remainder when m is divided by 6?
3
Let a be ((-2)/(-3))/(8/12) - -105. Let t = a - 94. What is the remainder when 323 is divided by t?
11
Let w(v) = 227*v - 227*v + 11 - v**3 + 9*v**2. What is the remainder when 19 is divided by w(9)?
8
Suppose -v = -3*z + 720, 2*v = 4*v. What is the remainder when z is divided by 61?
57
Let j(v) = v**3 - 11*v**2 + 4*v + 10. Let w(n) = -n + 3. Let m be w(3). Suppose -3*k + 8*k - 70 = m. Calculate the remainder when j(11) is divided by k.
12
Suppose 4*g + 0*p + p - 254 = 0, -4*g + 250 = 3*p. Calculate the remainder when g is divided by 220/(-165)*33/(-2).
20
Suppose 2*a + d = 1, -3*a + 