**3 + 14*z**2 + 11*z - 3. Calculate the remainder when c(n) is divided by 34.
31
Let q(r) = 28*r**2 - 243*r - 6. Calculate the remainder when 257 is divided by q(9).
32
Let a(b) = 15*b**2 - 27*b - 453. What is the remainder when a(-11) is divided by 20?
19
Let f be (-34)/(-3*(-2)/(-216)). Suppose -4*s + q + f = 0, -10*s + 1519 = -5*s - 4*q. What is the remainder when s is divided by 14?
13
Let a = 73 + -44. Suppose -305*g = -0*g - 12807 - 13118. What is the remainder when g is divided by a?
27
Let l(n) = 5*n**3 - 2*n**2 + 13*n + 14. Let p(a) = -a**3 - 3*a**2 - 1. Let s(f) = l(f) + 4*p(f). Calculate the remainder when s(13) is divided by 10.
0
Suppose 6*t - 2*t = 6*t. Suppose 4*j - 6*j - 4*s + 286 = 0, 2*s + 6 = t. What is the remainder when j is divided by 10?
9
Suppose 7*m - 9*m = -u + 101, -5*u - m = -494. Suppose 33 = 3*r - 90. Calculate the remainder when u is divided by r.
17
Suppose 3*a + 2785 = l, 3*a = -20*l + 15*l - 2779. Let i = -538 - a. Calculate the remainder when i is divided by 23.
22
Let t = 33 + -30. Suppose -4*j + 4*x + 1828 = 0, t*j - 3*x = -4*x + 1363. Calculate the remainder when (4 - 6) + j/5 is divided by 23.
20
Suppose 4*z + 3*c = 9, -181*z + 179*z + 10 = -4*c. Let k(y) = -y**3 + y + 24. Let o be k(0). Let u = -4 + o. Calculate the remainder when u is divided by z.
2
Suppose -12 = 67*y - 70*y. Suppose y*l - 4*s = -11 + 87, -90 = -5*l + 4*s. Calculate the remainder when 138 is divided by l/((-1)/(-2) - 0).
26
Let z be 69*5 - 1/(-1). Suppose 0 = 3*i + 46 - z. Suppose -5*h - 2*j + 131 = 0, 15 = 5*h - 4*h + 2*j. What is the remainder when i is divided by h?
13
Suppose 69108*v - 2839 = 69091*v. What is the remainder when 456 is divided by v?
122
Let m(h) = 10*h**2 + 587*h + 24. Calculate the remainder when m(-62) is divided by 189.
180
Let d(m) = 16*m**2 + 156*m - 998. What is the remainder when d(6) is divided by 18?
10
Let o = 21 + 4. Let w = -74 + 83. Calculate the remainder when o is divided by w.
7
Let i(o) = 21*o**3 + 13*o - 11. Let t(l) = -10*l**3 - 6*l + 6. Let c(r) = -2*i(r) - 5*t(r). Calculate the remainder when c(3) is divided by 17.
16
Let k(s) = 11*s - 40. Let o be k(26). Suppose -3*j + o - 12 = 0. What is the remainder when j is divided by 10?
8
Suppose 59 = v - 3*l, l = 5*v + 3*l - 363. Let z(j) = j**3 - 15*j**2 + 111*j - 1657. What is the remainder when v is divided by z(15)?
7
Suppose -4*x - 32 = -u, -17*x = -u - 21*x + 24. What is the remainder when u is divided by 14?
0
Let v(p) = 11*p**2 - 647*p - 3933. Suppose 335 - 5 = 5*l + 4*s, 3*l - 230 = 4*s. Calculate the remainder when v(-6) is divided by l.
65
Let n = 4430 - 3279. What is the remainder when n is divided by 32?
31
Let n = -291 - -564. Let m = 4078 - 4023. Calculate the remainder when n is divided by m.
53
Suppose 253*k - 42065 = -67. Calculate the remainder when 29713 is divided by k.
165
Let u = 60 + -61. Let w be 1/2 + (-6)/(u - 11). Suppose 2*n - 4*n + 90 = -4*o, 0 = -o + w. What is the remainder when 138 is divided by n?
44
Let g(s) = 59*s**2 - 4*s + 9. Let b be g(3). Suppose -10*n + 6*n + b = 0. Let o = n + -79. What is the remainder when o is divided by 27?
26
Let z = -19571 - -19763. Calculate the remainder when 765 is divided by z.
189
Suppose -2 - 100 = -h. Let f(g) = 3*g**2 - 34*g + 29. What is the remainder when h is divided by f(11)?
12
Let n(t) = -t**2 - 4*t + 1. Let k be n(-7). Suppose 6*g - 47 = 115. What is the remainder when g is divided by ((-150)/k)/((-3)/(-2))?
2
Let f be (525/(-60))/(14/16 + -1). Let g = -63 + f. Suppose -134 = g*o - 9*o. Calculate the remainder when o is divided by 19.
10
Let j = -7149 + 8189. Calculate the remainder when j is divided by 116.
112
Let b = 25936 + -25750. Calculate the remainder when b is divided by 24.
18
Suppose 3*u - 13 - 7 = -2*j, 5*j - 28 = -2*u. Calculate the remainder when 37/(u - 14/4) is divided by 10.
4
Let s = -6806 - -6886. Suppose 0*y - 66 = -3*y. What is the remainder when s is divided by y?
14
Let c be -2 + 25 - (-5)/1. Suppose c*r + 11*r = 663. What is the remainder when 66 is divided by r?
15
Let m = 16 - 9. Let b = 117 + -93. Let c = b + 78. Calculate the remainder when c is divided by m.
4
Suppose g - 8*w - 116 = 0, -6*w = 2*g - 11*w - 254. Calculate the remainder when 257 is divided by g.
125
Suppose 5*x + 8 = 13. What is the remainder when (-22)/(-18) + x*(-10)/45 is divided by (-2)/((-4)/((-2)/(-1)))?
0
Let a(n) = -8*n + 82. Let s be a(11). What is the remainder when 103 is divided by s/(-16) + (-5038)/(-176)?
16
Suppose -3*i - 4*r + 4 = -6*i, 2*r = 5*i + 2. Suppose 5*g = -2*f + 5*f + 7, i = -f - 4. Calculate the remainder when 64 is divided by (-2 - g)/(19/(-323)).
13
Suppose -122*f - 242424 = -486*f. What is the remainder when f is divided by 18?
0
Suppose 4*j + 5*n = 2*n + 14, 4*n = 2*j - 18. Let x(t) = -8*t + 61. Suppose 3*c = 2*c + 37. What is the remainder when c is divided by x(j)?
16
Suppose -5*x + 201 = 3*l, -177*x + 172*x = 5*l - 205. What is the remainder when 752 is divided by x?
11
Let j(v) = -v**3 + 5*v**2 + 20*v + 65. Let k be j(-6). Let b = k - 282. What is the remainder when b is divided by 8?
3
Suppose 3*b - 157*w + 156*w = 50, 3*w = 5*b - 90. What is the remainder when 3393 is divided by b?
3
Suppose -y = -6*d + 8*d - 77, 3*d = -y + 76. What is the remainder when 184 is divided by y?
26
Suppose -11*o + 12 = -824. Suppose -13 = -4*u + 7. Suppose -u*z - 4 = 3*f - 4*f, o = 5*f + 3*z. What is the remainder when 27 is divided by f?
13
Let x = -4780 - -4790. Calculate the remainder when 27 is divided by x.
7
Suppose -11*c = -140 - 322. Let u be (-1119)/(-15) + (-4)/(-10). Suppose 0 = o - 6*o + u. What is the remainder when c is divided by o?
12
Let g = -5164 - -5280. What is the remainder when 1721 is divided by g?
97
Let p(j) = j**3 - 255*j**2 + 272*j**2 + 22*j - 12 + 0*j**3. Calculate the remainder when p(-15) is divided by 22.
20
Let l be 3*(9 + 3)*28/6. What is the remainder when 63 is divided by (-4)/(-14) - (-3648)/l?
19
Let t be 130/(6 + -16) + (6 - 0). Let f(z) = -48*z - 193. What is the remainder when f(t) is divided by 62?
19
Let p = -45 + 48. Suppose p*z + 3 = -30. Let x(l) = -l**2 - 18*l - 13. Calculate the remainder when x(z) is divided by 17.
13
Let d = 6419 - 5227. What is the remainder when d is divided by 586?
20
Suppose -4*a + 48 - 4 = 0. Suppose a = -0*p - 2*p + g, 29 = -5*p + 3*g. What is the remainder when p + 152/(3 + -1) is divided by 19?
15
Let h = -1333 - -1614. What is the remainder when h is divided by 90?
11
Let s = -2178 + 2265. What is the remainder when s is divided by 37?
13
Let b(d) = 9*d - 13. Let c(y) = -y**2 + 9*y - 10. Let l be c(2). What is the remainder when b(l) is divided by 17?
6
Let t(z) = z**2 - 12*z + 12. Let j be t(4). Calculate the remainder when ((-60)/j)/(2/36) is divided by 14.
12
Let r(i) = 3*i**2 - 9*i + 1. Let o(l) = -16*l + 103. Let s be o(6). Suppose 16*k + s*k - 437 = 0. What is the remainder when r(6) is divided by k?
17
Suppose 0 = 257*t - 734*t + 248040. What is the remainder when t is divided by 180?
160
Suppose 29*h - 598 + 163 = 0. Suppose -15 - 125 = -2*z. What is the remainder when z is divided by h?
10
Suppose n - 40 = -4*n + 5*a, -2*a - 4 = n. Suppose i = -3*i + n*k - 32, -4*i - 4*k = 0. Calculate the remainder when 88 is divided by 2 + 0 - (-10 - (7 + i)).
13
Let a(m) be the second derivative of m**3 - 8*m**2 + 194*m. Suppose 3*q = -2*g + 21, -2*q + g - 23 = -6*q. What is the remainder when 53 is divided by a(q)?
11
Let j(b) = 2*b**2 - 152*b + 2861. What is the remainder when 544 is divided by j(34)?
4
Let r(c) = 1 + 14*c**3 + 0 + 7*c**2 - c - c**2 - c**2. Let u be r(2). Let h = -44 + u. What is the remainder when h is divided by 10?
7
Let i(k) = -k**2 + 11*k - 21. Let z be i(8). Suppose 3*w = z*a + 4*w - 110, 148 = 4*a + w. What is the remainder when 379 is divided by a?
37
Let y(u) = -11*u - 29. Let i be y(-2). Calculate the remainder when (357 - (i + 12)) + 4 is divided by 51.
50
What is the remainder when -2 + 435 - 1 - (-8 + -3 + 8) is divided by 83?
20
Let z = 1933 + -1904. Let p be (-356)/(-10) + (-2)/(-5). Let m = p - z. Calculate the remainder when 34 is divided by m.
6
Suppose 6*h + 135 = -465. Let p = h - -175. What is the remainder when p is divided by 26?
23
Suppose -151*n + 2