pose -51*t = -43*t - 1096. Suppose t - 17 = 5*z. What is the remainder when v(-3) is divided by z?
21
Let v be 1/(20/16 - 1). Suppose -76 = -v*c - 24. Calculate the remainder when 110 is divided by c.
6
Let a(w) = -17*w**2 + 4*w + 5. Let n(k) = 18*k**2 - 5*k - 6. Let z(o) = -4*a(o) - 3*n(o). Calculate the remainder when 58 is divided by z(-1).
6
Suppose -291*r - 7260 = -10143 - 110607. Calculate the remainder when r is divided by 149.
92
Calculate the remainder when 643 is divided by -4*((-816)/32 + 22).
13
Suppose 744 = -1380*f + 1392*f. Suppose 4*m + 2978 = 3*j, 0*m - m - 992 = -j. Calculate the remainder when j is divided by f.
60
Let q(c) = 10*c + 29*c + 5*c - 51 + 14*c - 27*c. What is the remainder when q(2) is divided by 7?
4
Suppose -1549*u + 1524*u = -1425. Calculate the remainder when 357 is divided by u.
15
Suppose 5*v = -3*z + 772, -15*z + 18*z + 4*v - 773 = 0. What is the remainder when 1911 is divided by z?
98
Suppose 0 = 3*b + 5*y - 882, -5*y - 1470 = -5*b - 0*b. Calculate the remainder when b is divided by 284.
10
Let s(k) = k**3 + 18*k**2 - 16*k - 24. Let x be s(-17). Let u = -79 + x. What is the remainder when u is divided by 51?
50
Suppose 4710 = -63*v + 33*v. Let f = 167 + v. Let n(k) = k**2 + 3*k - 6. What is the remainder when f is divided by n(-5)?
2
Let b(z) = z**3 - 27*z**2 + 37*z - 33. Suppose -320 = y - 21*y. Calculate the remainder when b(26) is divided by y.
13
Let u(n) = 60*n**2 + 3*n + 2. Let d be u(-1). Let a = -51 + d. What is the remainder when (-6)/(-4)*338/39 is divided by a?
5
Suppose -2*m - 3*m - 4*w = -159, 0 = 5*w - 5. Let l(b) = b**2 - 8*b + 15. Calculate the remainder when m is divided by l(7).
7
Let u = 583 + -442. Suppose -4*z + 4*p + 104 = -28, -141 = -4*z + p. What is the remainder when u is divided by z?
33
Suppose 0 = -y - 13 + 33. Suppose n + 3*x - 12 = 2*x, n - x = y. Calculate the remainder when 44 - (12/(-36))/(1/9) is divided by n.
15
Let q(i) = 15*i**2 - i + 2663. Calculate the remainder when q(0) is divided by 12.
11
Suppose -4*j + 3*b = -246, -115 = -4*j + 5*b + 135. What is the remainder when (j/(-50))/(9/(-75)) is divided by 6?
4
Suppose -98*o + 99*o = 3. Suppose -2*x + 14 + 54 = -4*u, 3*x - o*u - 87 = 0. Let r = 89 - 3. What is the remainder when r is divided by x?
14
Suppose -63*s = -56*s - 560. Suppose -87*l + 4389 = -s*l. What is the remainder when l is divided by 14?
11
Let c(w) = w**3 + 12*w**2 - 11*w + 32. Let p(x) = -7*x - 53. What is the remainder when p(-9) is divided by c(-13)?
4
Suppose -19*k + 24*k = -25. Suppose -2*u + 468 = 360. What is the remainder when (-532)/k - 6/15 is divided by u?
52
What is the remainder when 487 is divided by 1*-1*255*8/(-24)?
62
Suppose 12 = 7*i - 4*i. Suppose 18*l + 612 = 36*l. What is the remainder when l is divided by i?
2
Let b = -30422 + 48887. What is the remainder when b is divided by 59?
57
Let k(x) be the second derivative of x - 15*x**2 + 1 - 1/20*x**5 + 5/6*x**4 - 2/3*x**3. What is the remainder when 83 is divided by k(9)?
8
Let t be 5/15 - 28/(-6). Let z be (56/(-10))/(t/(-75)). Suppose 0 = 5*x - 7*x + z. What is the remainder when x is divided by 9?
6
Let o(f) = -f**3 + 12*f**2 + 16*f + 9. Let i(w) = -3*w**3 + 24*w**2 + 33*w + 18. Let x(s) = -2*i(s) + 5*o(s). What is the remainder when x(-7) is divided by 40?
36
Let a(d) = -40*d - 2496. What is the remainder when 3/12 + (-878)/(-8) is divided by a(-63)?
14
Suppose 0 = 2*a + 3*d - 616, -102*a + 100*a + 4*d + 630 = 0. Calculate the remainder when a is divided by 310.
1
Let d(p) = -36*p + 28. Let l be d(-23). Let x = l - 796. What is the remainder when x is divided by 34?
26
Let a = -3675 + 4098. What is the remainder when a is divided by 6?
3
Suppose 2*x - 6 = -x, 1848 = 4*z - 2*x. What is the remainder when z is divided by 79?
68
Suppose -2 = -u + 3*f, 3*u - 21 = 7*f - 3*f. Let w = -5 + -37. What is the remainder when w/(-7 - -8 - (0 - -2)) is divided by u?
9
Suppose 66 = u - 3*q, -2*q + 415 = -34*u + 39*u. Let a(m) = -m**3 - 17*m**2 - 31*m + 6. Calculate the remainder when u is divided by a(-15).
18
Let r = -27 + 75. Let z = r - 37. Let w = -15 - -56. Calculate the remainder when w is divided by z.
8
Let l = 28599 - 28431. What is the remainder when 1994 is divided by l?
146
Suppose 44*p - 29019 = 176*p - 96075. Calculate the remainder when p is divided by 43.
35
Suppose -4*u = -6*m + 10*m + 4, -3*m = -u - 1. Let x(z) = 25*z - 1 + m - 31*z + 6*z**2. Calculate the remainder when 138 is divided by x(3).
33
Let w(y) = -3*y**3 + 32*y**2 + 10*y + 16. Let g(t) = -52*t - 5. What is the remainder when g(-1) is divided by w(11)?
2
Let p = 524 - 783. Let g = p + 296. Calculate the remainder when g is divided by 10.
7
Let m(v) = -166*v - 1. Suppose 0 = 14*y - 2*y - 1428. Suppose -124*k + y*k + 140 = 0. What is the remainder when m(-1) is divided by k?
25
Let q(j) be the third derivative of j**5/15 + 25*j**4/12 + 11*j**3/3 - 55*j**2. What is the remainder when q(-14) is divided by 30?
16
Suppose 0 = -2*b + 2*j + 172, 0 = 2*b - 5*b - 4*j + 237. Let s = -2968 - -2996. Calculate the remainder when b is divided by s.
27
Let l(w) = w**3 - 5*w**2 + 6*w - 10. Suppose 3*x = 177 + 102. Calculate the remainder when x is divided by l(5).
13
Let j = -341 - -346. Suppose -4*f = -f + 3*b - 57, -5*b - 65 = -j*f. Let z(k) = -k**3 - 3*k**2 - 2*k + 5. What is the remainder when z(-4) is divided by f?
13
Let v = 2715 + -2122. What is the remainder when v is divided by 198?
197
Let a = 562 + -361. Let p = -9 + a. Calculate the remainder when p is divided by 66.
60
Let i(k) = -2*k - 5*k + 4*k - 2*k - 74. What is the remainder when i(-22) is divided by 5?
1
Let m(d) = 2 - 34*d**3 - 5 + 3. Suppose 25*r = 22*r + 3*n, 2*r = -4*n - 6. Calculate the remainder when m(r) is divided by 20.
14
Let g(x) = 4*x**2 + x + 1. Let z = -148 - -155. Suppose z*y = y + 414. What is the remainder when y is divided by g(2)?
12
Suppose 80 = m + n, -5*m + 3*n + 356 = -20. Calculate the remainder when 709 is divided by m.
16
Calculate the remainder when (1750 + 18)/((-5)/140*-8) is divided by 24.
20
Suppose 0 = -42*c + 167*c - 132250. Calculate the remainder when c is divided by 44.
2
Let m(c) = 9*c**2 - 324*c - 1334. Calculate the remainder when 1717 is divided by m(-4).
21
What is the remainder when 340 is divided by (-2 + (6 - 3))/(((-161)/126)/(-23))?
16
Suppose -1866 = -22*z - 4*z - 410. What is the remainder when 223 is divided by z?
55
Let p = 38 + 13. Let w be 1*(52/14 - (-18)/63). Suppose -3*o - 8*n = -4*n - w, 2*n - 14 = -3*o. Calculate the remainder when p is divided by o.
3
Let w(j) = j**3 - 10*j**2 - 35*j + 102. What is the remainder when 413 is divided by w(13)?
105
Suppose -10 + 50 = 4*b. Calculate the remainder when (-8)/((-56)/(-21)) + (-69)/(-1) is divided by b.
6
Let k(j) = -j + 16. Let n be k(12). Suppose -n*p + 3*q = -313, q + 12 = -3*q. Let c(s) = 9*s - 50. What is the remainder when p is divided by c(7)?
11
Suppose 119*n - 114*n - 1011 = -2*w, 4*n - 820 = 4*w. Calculate the remainder when n is divided by 106.
97
Let w(b) = -8*b**2 + 386*b - 119. What is the remainder when w(37) is divided by 153?
151
Suppose -24*i + 3743 = 383. Calculate the remainder when 143 is divided by i.
3
Let a = -18 - 7. Let v(p) = -p**2 + p + 60. Let k be v(-7). What is the remainder when 15 is divided by a/(-6) - k/24?
3
Let v = -126 + 185. Suppose 8327 = -48*n + v*n. What is the remainder when n is divided by 69?
67
Suppose 6 = -2*f, 3*k = f + 4*f + 60. What is the remainder when (-936)/(-10)*4110/1233 is divided by k?
12
Let f = -2625 - -3525. What is the remainder when 1809 is divided by f?
9
Let i(f) be the first derivative of f**4/4 + 10*f**3/3 - 21*f**2/2 - 11*f + 37. Let m be i(-11). Let z = m - 75. What is the remainder when z is divided by 10?
4
Suppose 2*f - 30 = -4*z, -5*f = -2*z - z - 114. Suppose -f*q + 6*q = -675. What is the remainder when 267 is divided by q?
42
Let g be 263 - -11 - (-2 - 3). Let h = g - 268. Calculate the remainder when h is divided by 1.
0
Let y(g) = 16*g + 115 + 2*g**2 - 3*g**2 - 150. What is the remainder when 106 is divided by y(5)?
6
Suppose -6*s - s + 413 = 0. Let w = 1917 + -1887. What is the remainder when s is divided by w?
29
Suppose -180*y = 407*y - 5283. Let w = -19 - -44. Calculate the remai