ulate the remainder when u(g) is divided by (25 - 20) + (-1 - -5).
5
Suppose 2*r - 40 + 8 = 0. Let s = -147 + 355. Calculate the remainder when r is divided by (-4)/(-6) + s/39.
4
Calculate the remainder when 2175 is divided by 109/5 - (2/(-12))/((-330)/(-396)).
19
Let s = 7 - -7. Let r(h) = 2*h**2 + 25*h + 14. Let q be r(-12). Suppose -3*m = -q*f - 78, 0 = -4*m + 2*m + f + 52. What is the remainder when m is divided by s?
12
Suppose 7*q - 3347 = -946. Suppose -339*n = -q*n + 232. What is the remainder when n is divided by 46?
12
Suppose -9 = -3*j, 3*l = -12*j + 18*j + 726. Calculate the remainder when l is divided by 23.
18
Suppose 2162 + 5361 = 8*s + 443. Calculate the remainder when s is divided by 292.
9
Let y(v) = -2*v**2 + 54*v - 44. Let g be y(25). Let i = g - 53. Calculate the remainder when 8 is divided by i.
2
Let o(y) = -y**3 - 9*y**2 - 33*y - 11. Let g(x) = 2*x**2 - 6*x - 5. Calculate the remainder when g(-14) is divided by o(-6).
76
Let x(z) = -z**3 + 5*z**2 + 9*z - 3. Let j be x(6). Suppose -358 = -j*k - 13. Calculate the remainder when 88 is divided by k.
19
Suppose -3*g + 6*g + 12 = 0, 3*g - 406 = -2*p. Calculate the remainder when p is divided by ((-21)/4 - -4)/(1/(-8)).
9
Suppose 0*p = 4*o - 3*p - 5240, -p + 3943 = 3*o. Calculate the remainder when o is divided by 1303.
10
Let x(s) = -s**2 + 11*s - 21. Let y be x(9). Suppose 6*a = -3*h + a - 73, 0 = a + 5. Calculate the remainder when 98 is divided by ((-60)/(-16) - 0)/(y/h).
18
Suppose -104*l = -36*l + 163*l - 7623. Calculate the remainder when 6269 is divided by l.
32
Let q(m) = -4*m**3 - 16*m**2 - 94*m - 599. Calculate the remainder when q(-13) is divided by 17.
9
Calculate the remainder when 1011 is divided by 4/(-46) + -12 + (-12520)/(-92).
19
Let p = 43 - -13. Let x(b) = b**3 - 14*b**2 + 25*b + 3. What is the remainder when p is divided by x(12)?
11
Let g = 146 - 143. Suppose 102 = g*s + 3*s. Calculate the remainder when 98 is divided by s.
13
Suppose -7*f + 3*v = -122973, -35106 = -27*f + 25*f - 4*v. Calculate the remainder when f is divided by 144.
141
Let x = -22014 + 22122. Calculate the remainder when 186 is divided by x.
78
Suppose 0*i + 36 = -2*i. Let f = i - -21. Suppose -125 = -8*g + f*g. What is the remainder when g is divided by 13?
12
Let h(z) = z**2 - 2*z - 1. Let f be h(-2). Calculate the remainder when 19 is divided by (6 - 9) + (f - 3 - -6).
5
Suppose -463*u = -425*u - 818026. What is the remainder when u is divided by 46?
45
Let v(g) = -55*g + 21. Let l(u) = -27*u + 10. Let j(n) = -13*l(n) + 6*v(n). Let p = -122 - -149. Calculate the remainder when j(4) is divided by p.
26
Let i(w) = -21 - 3*w + 3*w - 13*w. What is the remainder when i(-4) is divided by 7?
3
Let y(z) = -z**3 + z**2 - 2. Suppose 2*x + 2*i + 47 = 177, -4*x + 3*i = -211. Calculate the remainder when x is divided by y(-2).
8
Let l be (3 - (-72)/(-30)) + 1708/20. Let j = -69 + l. Calculate the remainder when j is divided by 10.
7
Suppose -2*x + 1691 + 905 = 2*x. What is the remainder when x is divided by 312?
25
Suppose 0 = -4*m - 2*z + 76, 60 = 4*m + 4*z - 12. What is the remainder when (6252/5)/6 - 8/m is divided by 10?
8
Let m(a) = -6*a - 16. Let f(o) = o**2 - o - 2. Let x be f(-1). Suppose 0 = -x*b + 4*b - 32. Calculate the remainder when m(-9) is divided by b.
6
Let y(s) be the second derivative of 2*s**3/3 + 65*s**2/2 - 2*s - 3. What is the remainder when 395 is divided by y(-2)?
53
Let c be (-1 - 0)/((-1)/(-326)). Let n = -306 - c. What is the remainder when n is divided by ((-11)/(-4))/((-1)/(-4))?
9
Let m(d) = -36*d + 5. Let q(j) = 790*j - 110. Let a(s) = -90*m(s) - 4*q(s). What is the remainder when a(1) is divided by (-36)/(-10)*20/6?
10
Let n be (1 - 1)/(133/(-19)). Suppose n = -94*c + 106*c - 564. Calculate the remainder when c is divided by 17.
13
What is the remainder when 791 is divided by (-2289)/(-35) - 3/(-5)?
65
Suppose n - a = 20, 4*n - 2*a + 51 = 141. Let d(l) = l**3 - 9*l**2 - 27*l + 15. Let j be (-3)/6*(-72)/3. Calculate the remainder when d(j) is divided by n.
23
Let u(m) = m**3 - 12*m**2 - 60*m + 245. Let h = -9 - -14. Let s(z) = -z + 12. What is the remainder when u(15) is divided by s(h)?
6
Let s be 167 + -3 - 1*-3. Let p = 279 - 278. Suppose 4*t + t - s = -3*v, -t = -p. What is the remainder when 158 is divided by v?
50
Suppose -2*a = 3*a - 3*n + 118, -4*n - 111 = 5*a. Let i = -19 - a. What is the remainder when (52/(-39))/((-2)/87) is divided by i?
2
Let a = 4337 + -4256. What is the remainder when 281 is divided by a?
38
Suppose 2*n - 3*x = 80, -3*n + 0*x = x - 131. Let p(c) = -280*c - 4677. What is the remainder when p(-17) is divided by n?
40
Suppose -18 = -3*z, 0 = -4*a + 7*a - 2*z - 198. What is the remainder when 2729 is divided by a?
69
Let n(g) be the first derivative of -g**4/4 + 2*g**3 + 3*g**2 - 2*g + 3. What is the remainder when 126 is divided by n(6)?
24
Let b = 84 - 80. Suppose 0 = b*i - 141 - 51. Let j = i + -31. Calculate the remainder when 29 is divided by j.
12
Suppose 4 = k, -2*a - 656 = -6*a - k. Calculate the remainder when a is divided by 78.
7
Let c be 2/4 + ((-3289)/26)/23. What is the remainder when 50 is divided by -3*(-93)/9 + 5/c?
20
Let q(f) = -171*f**3 + 6*f**2 + f + 6. Let i be q(-2). Suppose -28*w + i = 248. Calculate the remainder when 170 is divided by w.
6
Let l(k) = 5*k**2 - 60*k + 2. Let g be l(12). Suppose -35 = -4*d + 3*f, d - 15 = -2*f + g. What is the remainder when 21 is divided by d?
10
Suppose -4*q - 5*f = 13, -22 = q + 2*f + 3*f. Let k be 12/q + 24/2. Let o(j) = -j**2 + 16*j + 19. Calculate the remainder when 55 is divided by o(k).
17
Let o(i) = 134*i - 5493. What is the remainder when o(47) is divided by 133?
7
Let v(c) = c**3 + 6*c**2 + 102*c + 960. Suppose -4*u + 21 = 3*r, -r + 0*r = 3*u - 7. What is the remainder when v(-8) is divided by r?
2
Let l(g) = -2*g - 21. Let v = -330 - -308. Let b = -24 - -69. Calculate the remainder when b is divided by l(v).
22
Let o(u) = -u**3 + 6*u**2 + 14*u - 22. Let i = 360 + -228. Calculate the remainder when i is divided by o(-3).
13
Suppose l - 32 = -4*h + 5*l, 3*l - 39 = -4*h. What is the remainder when 320 is divided by h?
5
Suppose 36*n - 3313 - 107 = 0. Let z be ((-21)/(-5))/((-7)/(-35)). Let h = z - -11. What is the remainder when n is divided by h?
31
Suppose -5*g - 2*p + p = -192, 0 = 3*g + 5*p - 102. Suppose -13062 = -987*u + 966*u. Calculate the remainder when u is divided by g.
37
Let d(m) = 9*m**2 - 8*m + 42. Let a be d(5). Suppose 3*z + 102 = 3*q, 0 = -5*q + z - 41 + a. What is the remainder when 75 is divided by q?
37
Let s(d) = 2*d + 31. Let i be s(-11). Suppose 5 = 7*n - i. Suppose -5*t = -44 - 16. Calculate the remainder when t is divided by n.
0
Suppose 5*d - 5*s - 10430 = 0, s = 7*d - 15832 + 1218. What is the remainder when d is divided by 19?
17
Let g = 68 - 150. Let z be (-174)/29 - (-70)/(1 + -2). Let q = z - g. Calculate the remainder when 101 is divided by q.
5
Let f(g) = 2*g - 9. Let h be (6/18)/((-2)/(-24)). Suppose 5*b = h*y - 0*b - 46, y = 3*b + 8. Calculate the remainder when f(15) is divided by y.
7
Calculate the remainder when 3553 is divided by 4 - 2/4*(-57 + -409).
235
Suppose -2*n = n - 30. Suppose n = -2*j - 14. Calculate the remainder when (2 - (-27)/j)*-212 is divided by 11.
9
Suppose 116*y = -30*y + 47742. What is the remainder when y is divided by 83?
78
Suppose -2*k - 8 + 40 = 0. Let s(d) = 7*d - 26. Let c be s(14). Suppose -112 = -8*o + c. Calculate the remainder when o is divided by k.
7
Suppose -4*b - 7 = -5*b. Let q(s) = 2*s + 45. Let a be q(-24). Calculate the remainder when ((-38)/6)/(4/a - -1) is divided by b.
5
Let f = 715 - 709. Let n be (-1204)/(-49) - (-6)/14. Suppose -n*q = -29*q + 4. Calculate the remainder when f is divided by q.
0
Let h = -345 - -1596. What is the remainder when h is divided by 21?
12
Suppose -22*k + 703 = 15*k. Suppose 10*n + 72 = k*n. What is the remainder when 18 is divided by n?
2
Let t = -22 - -29. Suppose -x + t = 3*z - 2*x, 0 = z + 5*x - 13. Suppose 0 = z*c + 30 - 171. Calculate the remainder when c is divided by 12.
11
Suppose 3*r - 12 = -2*i, -5*i - 3*r - r + 30 = 0. Suppose i*g = 2*g + 24. What is the remainder when g is divided by 2?
0
Let q(a) = 25*a**2 + 147*a + 125. What is the remainder 