= -5*r - 3*n + 308, -p*n - 4 = 0. Calculate the remainder when r is divided by w(6).
31
Let o(j) = 4*j**3 + 4*j**2 - 6*j - 4. Let w be o(4). Let x = w - 162. Calculate the remainder when 6 is divided by ((-104)/x)/(4/(-10)).
0
Suppose -117*f = 27*f + 111*f - 89760. Calculate the remainder when f is divided by 4.
0
Suppose 58*t - 856 = 53*t - 2*b, -3*t - 3*b + 510 = 0. What is the remainder when 272 is divided by (-4 + t/8)/((-10)/(-20))?
27
What is the remainder when ((-6)/(-75) + (-54)/(-450))*5 + 185 is divided by 106?
80
Let o(x) = -45*x - 415. Calculate the remainder when 2873 is divided by o(-12).
123
Let o = -5 - -123. Suppose -14*u + 11523 = -3093. What is the remainder when o is divided by (-2)/13 + u/26?
38
Suppose 4*g = 5*c + 134, 2*g - 7*c - 68 = -4*c. Let k(z) = -55*z - 202. Calculate the remainder when k(-7) is divided by g.
28
Let g(y) = -6*y + 51. Let l be g(8). Suppose -92 = -5*v - q, l*q + 28 = 7*v - 6*v. What is the remainder when v is divided by 3 + 2 + (0 - 0)?
4
Let o(b) = b**2 + 4*b - 21. Let j = 260 - 224. Calculate the remainder when j is divided by o(-8).
3
Let d(m) = -76*m**3 - 3*m**2 + 9*m + 20. Calculate the remainder when 6069 is divided by d(-3).
15
Let l(q) = -2. Let b(f) = 23*f + 6. Let s(y) = b(y) + 6*l(y). What is the remainder when 132 is divided by s(1)?
13
Suppose 19*t - 10360 = 2*t - 3*t. Calculate the remainder when t is divided by 37.
0
Let z(b) = -4*b**3 - 2*b**2 + 8*b. What is the remainder when z(-4) is divided by 115?
77
What is the remainder when ((-12)/(-10))/(-17 + 136554/8030) is divided by 9?
3
Suppose -4*p = -3*l - l - 1588, 4*l - 12 = 0. Let s(y) = p*y**2 + 8 - 3 - 391*y**2 - 3*y - y**3. Calculate the remainder when s(8) is divided by 24.
21
Let r = 530 + 235. Calculate the remainder when r is divided by 254.
3
Suppose -17*q - 1609 = -5876. Calculate the remainder when q is divided by 9.
8
What is the remainder when 16583 is divided by (69/(-6) + 4)/(620/(-40) - -15)?
8
Suppose -11*j = -10*j - 1063. What is the remainder when j is divided by 26?
23
Let i(b) = 5*b**2 + 12*b - 105. Let n(u) = -11*u**2 - 22*u + 211. Let z(f) = -13*i(f) - 6*n(f). Calculate the remainder when 94 is divided by z(5).
2
Let b = 57 + -28. Let r be -7 + 4 + -9*(-2)/3. Suppose r*k = 4*d - 466, -d - d = 4*k - 222. Calculate the remainder when d is divided by b.
28
Let d(p) = 66*p + 862. Calculate the remainder when d(-12) is divided by -30*(-4 - 42/(-15)).
34
Suppose 2*l + 3*v - 5 = 0, 0 = -l - 3*v + 4*v + 5. Suppose x = 4 + 1, 68 = 2*c - l*x. Let p(d) = -19*d + 14. Calculate the remainder when p(-6) is divided by c.
40
Let t(i) = i**3 - 8*i**2 - 2*i - 53. What is the remainder when (-8)/(-14) - (-9042)/77 is divided by t(9)?
8
Let r(v) = -2*v**2 + 16*v - 26. Let u be r(5). Suppose 3*s = u*s - 69. What is the remainder when s is divided by 21?
6
Calculate the remainder when 2 + (-140)/30*(-1 + (-2 - 0)) is divided by 10.
6
Let z(i) = -2*i + 1. Let j(o) = 85*o + 72. Let y(v) = -j(v) - 5*z(v). Calculate the remainder when y(-5) is divided by 15.
13
Let f(x) = 6*x - 9. Let p(v) = v**2 + 12*v - 32. Let i be p(-13). Let k = -12 - i. Calculate the remainder when f(6) is divided by k.
6
Let n(h) = -h**3 + 9*h**2 - 2*h - 11. Let z = 1137 - 1038. Calculate the remainder when z is divided by n(8).
25
Let f(r) = r**2 + 45*r + 14. Let n be f(-26). Let m = -396 - n. What is the remainder when m is divided by 17?
16
Let d(n) = 15*n - 73. Let i be d(5). Suppose 242 = 3*j + 2*b, -3*b - 154 = -i*j + 29. Calculate the remainder when j is divided by 30.
24
Let z be ((-722)/133 - -5) + 6/14. Suppose -42*b + 44*b - 98 = z. Let u(n) = n**3 - n**2 + 146. What is the remainder when u(0) is divided by b?
48
Let x(z) = -11*z - 47. Let s be x(-9). Suppose s*c = 62*c - 100. What is the remainder when 12 is divided by c?
2
Let u = 93 + -91. Let x be (-14 + 21 - 2/1) + u. Suppose -76 = -z + x. Calculate the remainder when z is divided by 22.
17
Let m(t) = -t**2 - 19*t + 42. Let a be m(-20). Let u = 49 + a. Calculate the remainder when u is divided by 13.
6
Let y(l) be the second derivative of -7*l**3/6 + 100*l**2 + 64*l + 1. Suppose 0 = f - 4*f + 366. What is the remainder when f is divided by y(26)?
14
Suppose -8*p + 4*p + 8 = q, 5*q = 5*p + 190. What is the remainder when 5629 is divided by q?
29
Let c(i) = -i**3 - 14*i**2 - 23*i + 13. Let f = -120 - -91. Let m = f + 17. What is the remainder when 7 is divided by c(m)?
0
Let u(p) = p**2 - 98*p + 2381. What is the remainder when 1994 is divided by u(37)?
10
Let o = -10745 + 10973. Calculate the remainder when 3872 is divided by o.
224
Let v(c) = 2*c - 17 - 2*c + 7*c. Let o be v(3). Calculate the remainder when (-3 + o)*(-2 + 17) is divided by 9.
6
Suppose -p = 4*j + 26, 19 = -3*j - 4*p - 7. Suppose -13 + 31 = 2*b. Calculate the remainder when 3/(3 + j - (-78)/25) is divided by b.
7
Let f(w) = -w**2 - 8*w - 2. Suppose -5 - 17 = -l - 5*q, -2*l = 2*q - 12. Suppose 6*n - 152 = l*n. What is the remainder when n is divided by f(-7)?
3
Let s(u) = 4*u**2 + 2*u + 1. Let r be s(-1). Let n be -32 + 0 + r + -13 + 7. Calculate the remainder when (-1372)/n - 1/5 is divided by 20.
19
Calculate the remainder when 986 is divided by 729/21 + (2/4 - (-186)/(-868)).
6
Suppose -23*q - 1705 = -54*q. What is the remainder when 6378 is divided by q?
53
Suppose 3*v + 120 = -2*x + 5*x, 3*v + 202 = 5*x. Suppose x + 36 = 7*s. Calculate the remainder when 243 - (-4 - (-3 - 4)) is divided by s.
9
Suppose 0 = -20*b - 31*b + 2349 + 7137. What is the remainder when 379 is divided by b?
7
Suppose -64 = -5*c + 2*h, 0 = 3*c - 0*c + h - 34. Suppose -n + c - 4 = 0. Suppose -55 = n*g - 287. Calculate the remainder when 84 is divided by g.
26
Suppose -2*w + 3*w - 18 = 0. Suppose -3*u - 2*q + 82 + 31 = 0, 4*u = 5*q + 120. Calculate the remainder when 4/w - (-925)/9 is divided by u.
33
What is the remainder when ((-90)/210)/((-4)/1484) is divided by 70?
19
Suppose 0*d = -2*d + 4. Let w be (-176)/(-55) - (-2 + (-24)/(-20)). Suppose w*a = 4*r + 36, -r + d*r = 5. Calculate the remainder when 123 is divided by a.
11
Let c be (-3)/((-75)/20 - -3). Let k(l) = l**2 + 3*l - 14. Let z be k(c). Suppose -z*q + 13*q = -14. What is the remainder when 66 is divided by q?
10
Let t(k) = -77*k - 203. Calculate the remainder when t(-3) is divided by ((-5)/4)/(6/(-96)).
8
Let f(g) = 823*g**2 - 23*g - 818*g**2 - 49*g - 22. What is the remainder when f(15) is divided by 23?
0
Let t(g) = -5 + 2 - 25*g + 20*g**2 - g**3 - 30*g**2. Calculate the remainder when 36 is divided by t(-7).
11
Suppose 0 = 175*i + 65*i - 4800. What is the remainder when i is divided by 2?
0
Let g = 619 - 612. What is the remainder when 8*(6 + -3 + g) is divided by 23?
11
Let v(s) = 2*s**3 + s**2 + 16*s - 26. Let h(x) = -5*x**3 - 3*x**2 - 45*x + 76. Let d(o) = 3*h(o) + 8*v(o). What is the remainder when 480 is divided by d(6)?
6
Suppose -4*z + 5 - 5 = 0. Let s(y) = 11*y**2 - 6*y + 5*y + 0 - 4 + z*y. What is the remainder when s(2) is divided by 14?
10
Suppose 6*f = 24*f. What is the remainder when 0 + (-2)/2 - (f - 264) is divided by 45?
38
Suppose -26*b + 296 + 3084 = 0. Calculate the remainder when 649 is divided by b.
129
Let o = -6062 - -10310. What is the remainder when o is divided by 147?
132
Let v(m) = 6*m + 68. Let q be v(6). Suppose 3*l - q - 91 = 0. What is the remainder when 126 is divided by l?
61
Suppose 0 = v - 2*b - 108, 3*v = -47*b + 52*b + 321. Calculate the remainder when 3161 is divided by v.
101
Let b(x) be the third derivative of x**5/60 + 13*x**4/24 - 17*x**3/3 - 77*x**2. Calculate the remainder when b(5) is divided by 31.
25
Let z = 138 - 93. Suppose -z*b + 42*b = -288. Calculate the remainder when b is divided by 32.
0
Let z = -2 - -16. Suppose 3*x - 4*x = -z. Suppose w + 47 = 8*a, -25*w = -25*w + 2*a - 24. Calculate the remainder when w is divided by x.
7
Let k(s) = 15*s - 75. Let b be k(5). Suppose -6*i + 69 - 3 = b. Let n = -5 - -9. What is the remainder when i is divided by n?
3
Let s(k) be the third derivative of -8*k**2 + 5/24*k**4 + 0*k + 0 - 11/6*k**3. Calculate the remainder when 97 is divided by s(9).
29
Let b(x) = x**2 - 129*x + 3731. Calculate the remainder when 796 is divided by b(86).
4
Let l(c) be the second derivative of -5*c**3/6 + 48*c**2 - 63*