 0 = -0*w + 4*w - 8. Let x be 3/(0 - w - -3). Suppose 0 = -4*s + 5*j + 139, -x*s = 2*s - j - 200. What is the remainder when s is divided by 7?
6
Suppose -6*f + 947 - 263 = 0. Suppose 2*j + 0*j = f. Suppose -59*g + j*g = -32. What is the remainder when 108 is divided by g?
12
Let y(o) = o + 8. Let l be y(-2). Let r be 23*(3 + l/(-3)). Suppose -5*j + 18 + r = -2*a, 2*j + 3*a = 24. Calculate the remainder when 114 is divided by j.
6
Let x = 1740 + -1722. Calculate the remainder when 616 is divided by x.
4
Let b = -66 + 94. What is the remainder when ((-123)/902 - (-2757)/132)*4 is divided by b?
27
Let u(p) = 23*p - 146. Calculate the remainder when u(27) is divided by 123.
106
Let l(d) = 46*d. What is the remainder when ((-20)/(-12) + -2)*-3 + (129 - -3) is divided by l(1)?
41
Suppose 2 + 0 = 2*g, 21 = f - 2*g. Let d(o) = 5*o + 22. Let k(h) = -6*h - 23. Let b(a) = 7*d(a) + 6*k(a). What is the remainder when f is divided by b(4)?
11
What is the remainder when (3*(4 - 8))/((-9)/336) is divided by 11?
8
Suppose -5*v = b - 10 - 15, -v = b - 9. Suppose -62*w = -53*w - 1368. Calculate the remainder when w is divided by b.
2
Suppose 0 = -3*g + 3*p + 48, 8*g - 3*p - 4 = 9*g. Calculate the remainder when 128 is divided by g.
7
Let h(i) = 109*i - 26. Let g be h(3). Suppose -5*p - 91 + g = 0. Suppose -4*b - 18 + 54 = 0. Calculate the remainder when p is divided by b.
6
Suppose 76 = -4*m + 4*n + 304, 0 = -2*m + 3*n + 112. Calculate the remainder when m is divided by 8.
3
Let f = 3301 + -3105. Calculate the remainder when f is divided by 96.
4
Let c(z) = 18*z - 221. Let w be c(18). Let v = -54 + w. Suppose -p + 30 = 2*p. What is the remainder when v is divided by p?
9
Suppose 0 = -24*r + 28*r - 1444. Suppose 3*c - 5*c + u = -r, 4*c - 4*u = 712. What is the remainder when c is divided by 46?
45
Let t(z) = -7*z**3 - 770*z**2 - 269*z + 108. What is the remainder when t(-110) is divided by 60?
58
Suppose 0 = -4*f - 3 + 15. Suppose 0 = -5*l - 15 + 40. Suppose 2*t + u - 3 = -0*u, -l = -5*t - f*u. Calculate the remainder when 10 is divided by t.
2
Let n(i) = i**3 + 12*i**2 - 12*i + 14. Let w be n(-13). Let o be (-1281)/(-7) - (w + 1). Let a = -108 + o. What is the remainder when a is divided by 19?
16
Let t(w) = 2*w**2 - 30*w + 14. What is the remainder when t(19) is divided by 34?
30
Suppose -3*s + 4*z + 0*z = -656, 664 = 3*s + 4*z. Suppose -3*i = 3*f - 240, 3*f + 0*f - 2*i = s. What is the remainder when f is divided by 13?
11
Suppose -47*j + 279 = -2400. What is the remainder when 127 is divided by j?
13
Suppose 0 = -6*h + 2*h + 16. Let t be -2 - (-7 + -3)/(h/2). Suppose 5*f = -0*f + 4*p + 130, -t*f = 2*p - 78. Calculate the remainder when f is divided by 7.
5
Let b(s) = -6*s**3 - 2*s**2 + 3*s + 6. Let i(t) = 5*t**3 + t**2 - 2*t - 6. Let y(r) = 2*b(r) + 3*i(r). What is the remainder when 40 is divided by y(2)?
12
Suppose -i - 4*i - 10 = 0. Calculate the remainder when -29 + 45 - (244/36 - 4/(-18)) is divided by 1 - -1 - (i + 0).
1
Let t(q) = 2*q**2 + 4*q + 8. Let m be t(0). Suppose 154 = -r + m*r. What is the remainder when 261 is divided by r?
19
Let b(s) = s**2 - 3*s + 4. Let m be b(2). Let y be (-86)/18 - m/9. Let v(k) = -k**3 - 2*k**2 + 8*k + 10. What is the remainder when 179 is divided by v(y)?
44
Let f(h) = 3*h**2 + 17*h - 12. Let y(k) = -5*k**2 - 34*k + 25. Let u(v) = 7*f(v) + 4*y(v). Calculate the remainder when 215 is divided by u(19).
53
What is the remainder when 118 is divided by (0 - 0) + 2/(6/(-1590)*-10)?
12
Suppose -4*p + 4*a + 52 = 0, 2*a = -3*p + 72 - 8. Let q(w) = -w**3 + 18*w**2 + 6*w - 96. What is the remainder when 105 is divided by q(p)?
9
Let a(h) = -h**3 + 14*h**2 - 51*h + 53. What is the remainder when 1760 is divided by a(7)?
5
Let d(k) = -4*k + 30. Let h(o) = o**2 + 3*o - 9. Let j be h(-5). Suppose -7 - j = -f. What is the remainder when d(-10) is divided by f?
6
Let w be 3/(-7)*-11 + (-4)/(-14). Suppose 0 = -2*b + w*b + 759. Let o = -170 - b. What is the remainder when o is divided by 12?
11
Suppose 0 = -19*f + 13*f. Suppose 0 = -f*j - 3*j + 261. Calculate the remainder when j is divided by 33.
21
Let q(v) = -v**3 - 3*v**2 + 3*v - 6. Let c be q(3). Let m = c + 80. Calculate the remainder when 38 is divided by m.
9
Let p = -92 - -233. Calculate the remainder when p is divided by 32.
13
Suppose 46846*y + 1140 - 437 = 46865*y. Calculate the remainder when 0/(-2) - (-69 + -1) is divided by y.
33
Calculate the remainder when 2 + 939 + -90 + 96 is divided by 190.
187
Suppose -2*v + 5*v + 804 = 3*i, 0 = -2*v - 4*i - 548. Let s = v + 292. Calculate the remainder when 85 is divided by s.
19
Let b(g) = 3*g**2 + 8*g - 38. Calculate the remainder when 120 is divided by b(-6).
10
Suppose 8721 = 246*v - 73*v - 1659. What is the remainder when 704 is divided by v?
44
Let p = -11013 - -11874. What is the remainder when p is divided by 18?
15
Let k(g) = 8*g + 41. Let o be k(-4). What is the remainder when (-1 - 11)*1/(-3) is divided by (4/6)/(3/o)?
0
Calculate the remainder when 12 + 12 + -11 + 2329 is divided by 7.
4
Suppose -28968*j + 4954 = -28966*j. Calculate the remainder when j is divided by 825.
2
Suppose 3*l - 3*y + 4*y - 75 = 0, 75 = 3*l - 2*y. Suppose 0 = 54*k - 47*k - 56. Calculate the remainder when l is divided by (78/(-24))/(0 - 2/k).
12
Let u be -2*1/(-3) + 20/6. What is the remainder when (1 + u/(-3))*(-27 - 168) is divided by (-83)/(-5) + (-2)/(-5)?
14
Let o(h) = 1 + 5*h - 7*h + 2 + h. Let y(p) = -70*p + 156. What is the remainder when y(2) is divided by o(-4)?
2
Let x = -460 - -738. Let o = x + 244. What is the remainder when o is divided by 25?
22
Suppose -6*h = -3*h + 5*m - 524, 3*h = -3*m + 522. Suppose -1328 = -33*t - h. What is the remainder when 37 is divided by t?
2
Let s = 3 + 10. Let q = -39 + 41. Suppose 0 = 2*i - 5*d - 122, 3*i - 3*d - 157 = -q*d. Calculate the remainder when i is divided by s.
12
Suppose -7*j = -8*j, -5*u + j + 1425 = 0. Suppose -25*f = -44*f + u. What is the remainder when 94 is divided by f?
4
Suppose -4112 + 512 = -12*n. Suppose 162 = 3*v - n. Calculate the remainder when v is divided by 41.
31
Suppose y + 30*y - 160 = 4645. What is the remainder when 3557 is divided by y?
147
Let u(w) = 22*w + 27. Let c(t) = -26*t - 28. Let x(n) = 7*c(n) + 6*u(n). Calculate the remainder when x(-4) is divided by 42.
40
Suppose 5*i = -3*w + 3, -5*i + w - 1 = -2*i. Calculate the remainder when (166 - -4)*(i - -1) is divided by 9.
8
Let o(d) = -6 - 16*d**2 - d**3 - 8 - 4 - 3 - 18*d + 5. Calculate the remainder when o(-15) is divided by 15.
14
Let t(l) = -l**3 + 16*l**2 - 12*l - 35. Let o be -87 + -2*(-2 - 1/(-2)). Let w = 99 + o. Calculate the remainder when 49 is divided by t(w).
9
Let h(i) = -11*i + 52. Let n be h(4). Let s be 3*((-115)/(-30) - (-4)/n). Suppose -10*q = -s*q + 24. What is the remainder when q is divided by 4?
0
Suppose -3*q + 8*q = 50. Let o be ((-285)/(-12))/(25/600). Let m = o + -532. What is the remainder when m is divided by q?
8
Let k = 48 - 27. What is the remainder when 48 is divided by 145/k - (24/(-126))/2?
6
Let j be (3/2)/((-14)/1120). What is the remainder when 16/j - (-1864)/30 is divided by (44/7)/((-14)/(-49))?
18
Let h(n) = -24 - 28*n - 20 + 36 - 53. Calculate the remainder when h(-4) is divided by 15.
6
Let u be 49*(13 + -12) - -7. Let h = 54 - 34. Suppose h = -3*n + u. Calculate the remainder when 27 is divided by n.
3
Suppose 22*f - 7369 = 10341. Let j = 873 - f. What is the remainder when j is divided by 12?
8
Let j(c) = 6*c**2 + 36*c + 172. What is the remainder when j(-6) is divided by 168?
4
Let c = 2785 - 1617. Calculate the remainder when c is divided by 3/(3/(-7)) - (4/1 - 101).
88
Suppose 0 = -2*r - 3 + 17. Suppose 2*s + 2*g - r*g + 2 = 0, -8 = -4*g. Suppose -z + s + 5 = 0. Calculate the remainder when 26 is divided by z.
8
Let y(w) = 72*w + 2626. What is the remainder when y(-26) is divided by 253?
248
Let l(w) = 25843*w**2 - 22*w - 1. What is the remainder when l(1) is divided by 17?
14
Let y = -17 - -27. Let c(p) = -2*p**2 + 24*p + 56. What is the remainder when c(12) is divided by y?
6
Suppose 4*n - 9 = -3*c, 4*n = n - 2*c + 7. Let a(d) = -4*d**n - 11*d - 2*d**2 + 24 + 6*d**3 - 31. What is the remainder when a(5) is divided by 47?
44
Calculate the remainder when 48/