ulate the remainder when 82/779 - 2753/(-19) is divided by 42.
19
Suppose -76*x + 805 - 197 = 0. Calculate the remainder when 72 is divided by x.
0
Suppose 1 = 5*n - 14. Let q(a) = 27*a**3 - 26*a**3 - 5*a**2 + 4 - a**2. Calculate the remainder when q(6) is divided by n.
1
Let o(z) = -z**3 + 9*z**2 - z + 12. Let k(q) = -q**3 - 2*q**2 + 2*q + 9. Let u be k(0). What is the remainder when 25 is divided by o(u)?
1
Suppose -1 - 3 = -g. Suppose q + 4 = 2*w, 3*w + 6*q - g*q - 20 = 0. What is the remainder when 1*(9/(-6) - -5)*4 is divided by w?
2
Calculate the remainder when 1407/49 - (-1 + 5/7) is divided by (-202)/(-22) - (26/22 - 1).
2
Suppose 2*r = -r - 39. Let p = -4 - r. Let y = -97 + 122. Calculate the remainder when y is divided by p.
7
Let m(q) = 3*q**3 + 4*q**2 + 2*q - 2. Let g be m(-2). Let y = g + 25. What is the remainder when 28 is divided by y?
6
Suppose 3*w = -2*w + 10. Suppose 0 = -5*k + k - w*q + 136, q - 33 = -k. What is the remainder when 103 is divided by k?
33
Let d = -72 - -134. What is the remainder when d is divided by 9?
8
Let l = -201 - -122. Let b = l - -141. What is the remainder when b is divided by 33?
29
Let w = 631 - 73. What is the remainder when w is divided by 10?
8
Let r = 34 + 21. Suppose -a + r + 6 = 0. Suppose 3*d - a - 44 = 0. What is the remainder when d is divided by 9?
8
Let u(r) = -r**2 + 16*r - 28. Let t be u(14). Suppose t = 12*s + 140 - 440. What is the remainder when s is divided by 7?
4
Let g = 313 + -266. Suppose 0*s = -2*s + 3*u + 195, 0 = 3*s + 4*u - 267. What is the remainder when s is divided by g?
46
Suppose -v = 2*v. Let z(q) = 3*q + 78. Calculate the remainder when z(v) is divided by 27.
24
Suppose -7*h = -5*h - 16. Suppose 3*s + h*s - 143 = 0. Calculate the remainder when s is divided by 8.
5
Let p = 2 + 18. Calculate the remainder when p is divided by (-2)/4*(2 - 0)/(32/(-448)).
6
Let j(a) = a**3 + 8*a**2 + 5. Let o = -2909 + 2958. What is the remainder when o is divided by j(-8)?
4
Let r = -39 - -59. Suppose -2*m = -0 - r. Calculate the remainder when 14 is divided by 36/15*m/3.
6
Let n = 2537 - 1791. What is the remainder when n is divided by 16?
10
Suppose -5*m + 98 = y - 134, -5*y - 15 = 0. Let u = m + -27. What is the remainder when ((-9)/6)/((-2)/76) is divided by u?
17
Let a(j) = -2*j**2 - 14*j + 4. Let c be a(-7). Suppose -26 = -c*o + 66. Calculate the remainder when 43 is divided by o.
20
Let y = 19 + -7. Let w = y + -10. Suppose 0 = -4*p - 2 - 2, -w*p - 56 = -2*g. Calculate the remainder when 80 is divided by g.
26
Suppose -3*w + 2 = -7. Calculate the remainder when -3 - (1 + 0)*-8*6 is divided by (-18)/(w + (-18)/4).
9
Let j(m) = -7 + 0*m - 13*m**2 + m + m**3 + 21*m**2. What is the remainder when j(-6) is divided by 12?
11
Let v(f) = -f**3 + 39*f**2 - 30*f - 51. What is the remainder when v(38) is divided by 43?
38
Calculate the remainder when 1375/33 - 2/3 is divided by 5.
1
Let n(k) = -k + 14. Let h be n(-6). Let o be (-15 + h)*8/(-5). Calculate the remainder when 50 is divided by 68/10*(-20)/o.
16
Calculate the remainder when (-12 + 8 - 2)*237/(-9) is divided by 11.
4
Suppose -12*h + 5*h = -147. What is the remainder when h is divided by 19?
2
Suppose 26 = 13*s - 39 - 13. Let a be 58/8 - (-2)/(-8). Let b = a - 3. Calculate the remainder when s is divided by b.
2
Let i be 1*(6 - (-2 - 2)). Suppose 0 = -3*k + 8*k + i. Calculate the remainder when (3/k)/(18/(-1164)) is divided by 25.
22
Calculate the remainder when 28/(-98)*(-136 - -3) is divided by 20/6*(3 + 0).
8
Suppose 0 = -2*q + 48 + 134. Suppose -3*a - q = -3*j - a, 2*j = -3*a + 52. What is the remainder when j is divided by 4/(-10) + 52/5?
9
Let q = 172 + -79. Calculate the remainder when 180 is divided by q.
87
What is the remainder when (-448026)/(-1691) + (-2)/(-38) is divided by 91?
83
Suppose v - 5*u = 19, -u + 6 = -3*u. Let n be (-36 - v - -1)/(-1). Let h = n - -12. Calculate the remainder when h is divided by 13.
12
Suppose 4*q - 52 = 4*h, 2*q - 19 - 21 = -5*h. Suppose -20*f + 45 = -q*f. Calculate the remainder when 25 is divided by f.
7
Calculate the remainder when (-2)/6 - 2189/(-33) is divided by 35.
31
Let l(r) = 7*r**2 + 8*r + 5. Let c = 19 + -22. What is the remainder when l(c) is divided by 15?
14
Suppose 5*a - 11 - 74 = 0. Suppose -w - 72 = -2*w - c, w - 2*c - 57 = 0. What is the remainder when w is divided by a?
16
Calculate the remainder when 578 is divided by -5*11/(-330) - 1162/(-12).
93
Let l = -2 + 6. Suppose -m = -3*u - l*m - 9, -5*u + 1 = m. Calculate the remainder when 0 + u - -2 - -57 is divided by 21.
18
Let v(y) = 5*y**2 - 3*y. What is the remainder when v(2) is divided by -6 - 21*(2 + 5 - (-667)/(-87))?
6
Let a(o) = -o**3 - 8*o**2 + 28*o + 109. Suppose 2*z = -2*q + 92, 4*q + 4 = 3*q. Calculate the remainder when z is divided by a(-10).
21
Suppose 5*z = -o + 17, z = 2*o - 3*o + 1. Suppose z*n + 83 = 5*w, -3*n = 4*w - 25 - 29. Calculate the remainder when w is divided by 6.
3
Let p(c) = 3*c + 26. Let n(w) = 7*w**2 + 3. What is the remainder when n(-2) is divided by p(-6)?
7
Suppose -3*u + 8 = -u. Let o be 3/4 - (-13)/u. Suppose 0 = -4*w - o*h + 72, -7*w + 2*w - 3*h = -94. What is the remainder when 39 is divided by w?
19
Suppose -3*x = -2*s - 306, 48*x + 510 = 53*x + 5*s. What is the remainder when x is divided by 8?
6
Let l(y) = -y**3 + 7*y**2 + 8*y - 49. Calculate the remainder when l(-6) is divided by 12.
11
Suppose 185 = 80*s - 75*s - 3*t, 4*s + 4*t - 148 = 0. What is the remainder when s is divided by 21?
16
Suppose h - 400 = -h. Suppose 3*t - 7*t = -h. Suppose t = -u + 3*u. What is the remainder when u is divided by 14?
11
Suppose 0 + 78 = f. Calculate the remainder when ((-2)/(-4))/(3/f) is divided by 15/(-10)*(60/9)/(-2).
3
Let n(a) = a**2 + 4*a - 3. Suppose -3*y + 11 = 5. Suppose -y*f + 4*f = 4. Calculate the remainder when 26 is divided by n(f).
8
Let z be ((-48)/(-4))/(-4) - 316. Let b = z + 213. What is the remainder when (-12)/(-8)*b/(-3) is divided by 14?
11
Let p(m) = 17*m**2 - 12*m - 25. What is the remainder when 289 is divided by p(3)?
13
Let m(p) = 30*p**2 - 5*p - 1. Let w(n) = -60*n**2 + 11*n + 2. Let v(t) = 13*m(t) + 6*w(t). Calculate the remainder when v(1) is divided by 11.
8
Suppose 9485*t = 9495*t - 1450. Calculate the remainder when t is divided by 79.
66
Suppose 0 = 17*x - 14*x - 405. Calculate the remainder when x is divided by 24.
15
Let u = 65 - 41. What is the remainder when 32 is divided by (-174)/u*-4 - 3?
6
Suppose o + 5 = -3*d, 2*d - o = 8 - 3. Suppose y - 10 - 3 = d. Calculate the remainder when (3 - -22 - 9)/(2/3) is divided by y.
11
Suppose -2352 = -32*g - 17*g. Calculate the remainder when g is divided by 9.
3
Suppose 7*z - 3*z = -2*f + 6, -z = -2*f - 4. Calculate the remainder when 59 is divided by ((-1)/z)/(4/(-80)).
9
Let h be 21/14*4/2. Suppose -25 = -3*r - 7. What is the remainder when 13 - (h + -2 - 4) is divided by r?
4
Suppose -4*b = 5*d - 50, 0 = -3*b + 3*d - 6*d + 36. What is the remainder when 37 is divided by b?
7
Let u = 4 + -6. Let d be u*(-22)/(-8)*-2. Let y = d + 1. Calculate the remainder when 21 is divided by y.
9
Suppose 0 = 4*o - 3*o + 6. Let i be ((-21)/14)/(o/296). Suppose 4*y - 2*y - 30 = b, -i = -5*y + 3*b. Calculate the remainder when 47 is divided by y.
15
Let h = -1888 - -1953. What is the remainder when 314 is divided by h?
54
Suppose t + 2*q - 18 = -3*q, -2*t - 3*q + 15 = 0. Suppose 4*h - t*h - 136 = 0. Calculate the remainder when h is divided by 46.
44
Let o(w) = -5*w - 5. Let r be (-1)/(-5) - 343/(-35). Calculate the remainder when r/(-45) - (-526)/18 is divided by o(-4).
14
Let w(a) = 2*a**3 - 3*a**2 - 2*a + 2. Suppose -19 = q + 6*g, -6*g + 4*g = -q + 21. Calculate the remainder when w(4) is divided by q.
8
Let g = -11 - -2. Let a = 7 - g. What is the remainder when 61 is divided by a?
13
Let p(r) = 18*r - 5. Calculate the remainder when 241 is divided by p(3).
45
Suppose 0 = -w + 3*w - 10. Let x(d) = -d**3 + 5*d**2 + 2*d - 2. Suppose 57*k - 141*k - 235*k = -6699. Calculate the remainder when k is divided by x(w).
5
Suppose 25*l - 18*l + 5*a = 38, 4*a - 16 = -2*l. What is the remainder when 103 is divided by l?
3
Suppose -l + 1160 = 3*l - 5*b, b + 859 = 3*l. What is the remainder when l is divided by 6?
3
Suppose -q + 45 = 