- 6*c + 425 = 5*h. What is the remainder when h is divided by 13?
11
Suppose -11*f = -4*f - 28. Suppose 88 = -0*w + 4*w + 4*m, -f*w = -m - 83. Calculate the remainder when 61 is divided by w.
19
Let j = -17442 - -17651. Calculate the remainder when 322 is divided by j.
113
Suppose -92*w - 94*w - 231*w + 2502 = 0. What is the remainder when 43/4 - 2/(-8) is divided by w?
5
Calculate the remainder when (-3 - -5) + 177 - 10/2 is divided by 66.
42
Let y(x) = x**2 + 5*x + 16. Suppose 23*i + 88 = -27. What is the remainder when 76 is divided by y(i)?
12
Suppose 3*v - 80 = 2*q, 4*v - 20 = 3*v + 2*q. What is the remainder when 141 + -2*((-289)/34)/17 is divided by v?
22
Let n(x) = x**2 - 11*x - 9. Let r be n(12). Let z(w) = 17*w - 9. Let u be z(r). Let h = 85 - u. Calculate the remainder when h is divided by 12.
7
Let g = -14 - -25. Suppose 1064 = -34*s + 38*s. Suppose -26 = 8*z - s. Calculate the remainder when z is divided by g.
8
Suppose -4*c - 120 = -5*a, 0 = -2*a + 1722*c - 1721*c + 51. Calculate the remainder when 51 is divided by a.
23
Let w = -7958 - -17315. What is the remainder when w is divided by 104?
101
Suppose -5*n + 81 = d, 4*n + 2*d - 50 = 16. Calculate the remainder when 77 is divided by 1155/28 - 4/n.
36
Suppose 2*z - 5*i = 379, 3*z + 3*i - 601 = 4*i. Suppose 3*b - 210 = -3*c, -3*b + 0*c + z = -c. What is the remainder when b is divided by 18?
14
Suppose 0 = 497*w - 495*w - 768. What is the remainder when w is divided by (-4)/6 + (-699)/(-9)?
76
What is the remainder when 74 is divided by 14/49*6174/28?
11
Let s(u) = u**3 + 2*u**2 - 2*u - 1. Suppose -36*l - 749 = -108*l - 29. Calculate the remainder when l is divided by s(-2).
1
Suppose 2142 = 2*m + 4*x, x + 1112 = 2*m - 1045. Calculate the remainder when m is divided by 108.
105
Let a = -17 + 21. Suppose -a*l - 13 = -37. Suppose l*s - 2*s = -g + 586, -2*s + 3*g = -300. Calculate the remainder when s is divided by 38.
33
Suppose -3*w - 1383*p = -1386*p - 240, 5*w = -2*p + 365. What is the remainder when 821 is divided by w?
71
Suppose 104*d + 2226120 = 416*d. Calculate the remainder when d is divided by 16.
15
Let m(u) = 4*u**3 - 93 - 31*u**3 + 26*u**3 - 44*u**2 - 47*u. Calculate the remainder when 157 is divided by m(-43).
78
Suppose -n + 9 = -2. Suppose 3*t + 38 = 4*l, -3*l = 11*t - 14*t - 39. What is the remainder when (-124)/28 - 6/t - -36 is divided by n?
10
Let v = 4535 + -2853. What is the remainder when 5055 is divided by v?
9
Suppose 1416 = 5*r - 3*y, 0*r + 840 = 3*r - 5*y. Let j = -88 + r. Calculate the remainder when j is divided by 50.
47
Let i(c) = 22*c - 122. What is the remainder when 389 is divided by i(7)?
5
Let n(r) = r**3 - 7*r**2 - r + 71. Calculate the remainder when n(8) is divided by 21.
1
Suppose 5*h + 4*y = 506, 47 - 223 = -2*h + 5*y. What is the remainder when 501 is divided by h?
11
Let u = -97 - -436. Suppose 32*d - 269 = u. What is the remainder when 107 is divided by d?
12
Let q = -6 + 6. Let z be (q/(-4 - -7))/(-3). Calculate the remainder when (159/6 + z)/((-2)/(-4)) is divided by 14.
11
Suppose v + 44 = 2*d + 5*v, 8 = d - 5*v. Suppose -m = m - 4*m. Suppose 5*t - 3*t - 10 = m. Calculate the remainder when d is divided by t.
3
Suppose 2*c - 70 = 6. Suppose 40 = -4*v + 2*v. What is the remainder when c is divided by (-13)/(-65) - 396/v?
18
Let i be 1/(2/12*2). Let h = -557 - -679. Suppose g - i*g = -h. What is the remainder when g is divided by 9?
7
Let x be (-18)/3 + 99/27*3. Suppose 24*i + 501 = 4*l + 19*i, 5*l - 615 = -x*i. Calculate the remainder when 1363 is divided by l.
123
Suppose 0 = d + 295 - 297. Suppose d*c - 5*u = -9*u + 562, -2*c = u - 562. Calculate the remainder when c is divided by 72.
65
Suppose -11*z = 28*z - 1989. Suppose 4*q + 4*x = -x + 52, 0 = -q + 2*x. Calculate the remainder when z is divided by q.
3
Let b = 95 + -86. Let f = -27 - -30. Suppose 0 = -l - 2*i + 27, l - i - 90 = -f*l. Calculate the remainder when l is divided by b.
5
Calculate the remainder when 45/(3240/(-96)) - (-1378)/3 is divided by 186.
86
Suppose 5*u = 3*b - 1 + 26, 0 = -3*u + 5*b + 15. Suppose -u*c + 100 - 10 = 0. Calculate the remainder when 63 is divided by c.
9
Let s(o) = 78*o**2 - 143*o - 446. Calculate the remainder when s(-3) is divided by 24.
13
Suppose -4*m + 1728 = r, -3*r + 1744 = 4*m - 4*r. What is the remainder when m is divided by 79?
39
Let b(x) = -16*x**2 + 2*x - 6. Let y be b(2). Let p = 98 + y. What is the remainder when p is divided by 13?
6
What is the remainder when (1 + -17*479)*-4*12/72 is divided by 61?
60
Let m(v) = -v**3 - 14*v**2 - 13*v + 16. What is the remainder when 122 is divided by m(-13)?
10
Let x(b) = 6*b**2 - 32*b + 26. Calculate the remainder when x(-14) is divided by 29.
26
Suppose -53*b - 882 = -55*b. Suppose -2*g - 4*x = 162, x + b = g - 6*g. Let y = 130 + g. What is the remainder when y is divided by 14?
13
Let a(n) = 83*n**2 - 2321*n + 12. Calculate the remainder when 227 is divided by a(28).
35
Suppose -3 + 49 = 2*i. Suppose -5*v + 2*z = 17, -3*z - 58 + 21 = 5*v. What is the remainder when (-6)/15 - 677/v is divided by i?
20
Let n be ((-20)/15)/((-2)/54). Suppose -p = -3*d - 94, -230 = -3*p + 5*d + n. What is the remainder when p is divided by 84/(-9)*(0 - (1 - -2))?
26
Suppose 0*s = 5*s - 305. Suppose 2*d + 5*g = -9, 7*d - 5*g - 41 = 5*d. Calculate the remainder when s is divided by d.
5
Let u = 1056 - 482. Calculate the remainder when u is divided by 12.
10
Let m = 1916 + -1301. Suppose 74283 = 786*x + 30267. What is the remainder when m is divided by x?
55
Let m(b) = b**3 - 17*b**2 + 29*b - 22. Let t = 111 + -95. What is the remainder when m(t) is divided by 11?
10
Suppose 2*l + 3 = -h, -5*h + 2*h = -l - 5. Let c(g) = -g**3 - 4*g**2 - 2*g - 5. Calculate the remainder when 27 - 27 - (l + -6*8) is divided by c(-4).
2
Let w be 2 + (-12)/(-3) - 0. Let m(o) = -7*o**3 + 2*o**2 + 10*o + 43. Let s be m(-3). What is the remainder when (w/(-12))/((-4)/6)*s is divided by 24?
21
Let a(k) = -46*k + 26. Let f(w) = 31*w - 17. Let t(x) = -5*a(x) - 7*f(x). Let l = 16 + -12. What is the remainder when t(l) is divided by 11?
8
Let x(p) = 45*p**2 - 54*p - 192. Calculate the remainder when x(-4) is divided by 107.
102
Let h = 3242 - 3200. Calculate the remainder when 197 is divided by h.
29
Let r = -23 + 49. Let n be 6*(-8)/72*(0 - 195). Suppose -9*z + n = -320. Calculate the remainder when z is divided by r.
24
Let s be (-11)/((-22)/54) + -1 + 4. Let v = 56 - s. Let l(z) = 3*z - 7. What is the remainder when v is divided by l(7)?
12
Let r = 8 - 6. Suppose j + 4 = r*j. Calculate the remainder when (-23)/((-644)/(-168))*10/(-4) is divided by j.
3
Let o(c) = c**3 - 6*c**2 + 3*c + 6. Let q(p) = -3*p - 13. Let x be q(-6). Let j be o(x). Calculate the remainder when 44 is divided by 49/2 + j + (-18)/(-4).
19
Suppose 5*x - 1773 = 3*w, 7*w + 698 = 2*x + 3*w. What is the remainder when x is divided by 62?
47
Suppose 3*j - 32 = -2*j - r, 0 = -4*j + 3*r + 18. What is the remainder when (-2348)/(-10) - j/(-30) - -3 is divided by 48?
46
Let z(p) = p**3 - 4*p**2 - p - 12. Let x be z(5). Suppose -93 = -x*d + 59. Let i(y) = 22*y - 14. What is the remainder when i(4) is divided by d?
17
Let u = 628 + -361. Suppose 0 = 15*t - 18*t + u. What is the remainder when t is divided by 26?
11
Let g = 117 - 73. Suppose g*d = d + 516. What is the remainder when 43 is divided by d?
7
Let v be (-2)/(3*1 - (-33)/(-12)). Let j = v - -20. Calculate the remainder when 36 is divided by -1 - (12/4 - (2 + j)).
6
Suppose 4*b + 4*k + 664 = 0, 0 = 2*b - 7*b - 3*k - 836. Let y = -162 - b. What is the remainder when 45 is divided by y?
3
Suppose 3*g + g - 21 = 3*o, 5*o = -3*g - 6. Let p be 1 - ((2 + o - -1) + -37). What is the remainder when 7/((-21)/12) + p is divided by 14?
6
Suppose t - 146 = 4*s, t - 146 = -4*s - s. Let q(c) = 3*c**2 + 12*c - 14. Calculate the remainder when t is divided by q(3).
48
Let f = 1134 + -730. Let v = -364 + f. What is the remainder when v is divided by 15?
10
Suppose -172*h + 4*n - 444 = -175*h, 5*h - 740 = 5*n. What is the remainder when h is divided by 51?
46
Suppose -q = 5*h + 14, 26 = -2*q + 3*q - 5*h. Suppose 0 = -9*z + q*z + 54. What is the remainder when (z/4)/(2*(-15)/(-280)) is divided by 11?
9
Suppose -h + 65*p - 62*p + 191 = 0, 