lculate the remainder when (-18)/12*(4 - 896/6) is divided by 56.
50
Let z = -14 + 15. Let m be (-24)/16*(-68)/z. Suppose -m = -4*o + o. Calculate the remainder when 133 is divided by o.
31
Suppose -5*h - f + 833 = 0, -2*h - 2*f = -226 - 112. Calculate the remainder when h is divided by 59.
48
Let s(n) = n**2 + 22*n + 29. What is the remainder when 374 is divided by s(-22)?
26
Let w(i) = 2*i**2 - 3*i - 1. Suppose 3*p = 59 + 55. Let t = p - 23. Calculate the remainder when w(-4) is divided by t.
13
Suppose -5*r = -u + 20, 5*u + 0*r - 40 = 5*r. Suppose -2*z = -3*i + u, 4*z - 13 + 2 = -i. What is the remainder when z is divided by 1?
0
Suppose 0 = -253*j + 247*j + 816. What is the remainder when 659 is divided by j?
115
Let a be 11/(4 + -3 + -1 + 1). Let b = 45 - a. Calculate the remainder when b is divided by 21.
13
Let a = -176 + 295. Suppose 43 + a = 3*w. What is the remainder when w is divided by 11?
10
Let p(d) = -d**3 - d**2 - d + 1. Let z be p(1). Let g(a) = -20*a - 5. Calculate the remainder when g(z) is divided by 19.
16
Calculate the remainder when (-226)/(-5) - 11/55 is divided by 188/12 - (-5)/15.
13
Suppose -8 = -2*i - 4*t, -5*i - 4*t + 30 = -8. Let q = -32 - -24. Calculate the remainder when (-311)/q - 3/(-24) is divided by i.
9
Let d = -326 - -332. What is the remainder when 20 is divided by d?
2
Suppose 4*x + c - 2*c = 13, 4*x + 7 = -3*c. Calculate the remainder when 9 is divided by x.
1
Let w(d) = -d + 56. Let s be w(0). Suppose -4*r = -4*v + 116, -3*v + s + 35 = -4*r. Calculate the remainder when 63 is divided by (-3)/5 + 415/v.
15
Let s(t) = 65*t. What is the remainder when s(1) is divided by 6?
5
Suppose 5*w + 31 - 56 = 0. What is the remainder when 11/2 + 3/(-6) is divided by w?
0
Let n(w) = -7*w**2 - 2*w - 11. Let m be n(12). Let y be (-3)/5 + m/(-5). Suppose y - 13 = 5*u. What is the remainder when u is divided by 21?
18
Let c = 1 - 1. Let z(b) = -b**3 + b + 21. Calculate the remainder when z(c) is divided by 13.
8
Let s = -12 + 27. Let z = 27 - s. What is the remainder when 33 is divided by z?
9
Let q(z) = -z**3 + 2*z**3 + 3*z + 4*z**2 - 6 - 4*z + 10. Let a be q(-4). Let r(g) = g**3 - 9*g**2 + 12*g - 7. Calculate the remainder when r(a) is divided by 7.
4
Suppose 0 = -2*i + 7 + 5. Suppose 0 = -2*v + k - i*k - 24, 0 = 5*v + 4*k + 26. What is the remainder when (-74)/(-4) + v/4 is divided by 7?
4
Let m = -651 + 1560. What is the remainder when m is divided by 38?
35
Let m = 17 + -9. Let g be (-3)/(-4) + 426/m. Calculate the remainder when 13 is divided by 4/14 + g/7.
5
Let s = 4 + 2. Suppose -10*u + 84 = -s*u. What is the remainder when u is divided by 6?
3
Let o = 551 + -550. What is the remainder when 4 is divided by o?
0
Suppose 19*p + 4585 = 41*p + 207. What is the remainder when p is divided by (20/(-6))/(2/(-15))?
24
Suppose 4*s - 2*b - 186 = 0, -4*s + 3*s - 4*b = -69. Let l(t) = 2 + 4*t + 0 - 3 + 5*t. What is the remainder when s is divided by l(3)?
23
Let d(j) = -7*j + 32. Let v be d(0). Let n(a) = a**2 - a - 1. Let l be n(-4). Let x = v + l. What is the remainder when x is divided by 13?
12
Let v(q) = 2 + 3*q**3 + 5 - 2 + 3*q - 2*q**3 - 2*q**2. Let y be -2 + 3 + 3 - 0. Calculate the remainder when v(y) is divided by 13.
10
Suppose j = 3, -c = c - j + 93. Let v(i) = -8*i**2 - i - 1. Let k be v(-2). Let z = k - c. Calculate the remainder when 54 is divided by z.
12
Let w(s) = -52*s + 1. Suppose 0 = 3*g + o + 175 - 262, -165 = -6*g + o. Calculate the remainder when w(-1) is divided by g.
25
Let n(k) = -k + 1. Let l = 134 + -74. Calculate the remainder when 652/l - (-8)/60 is divided by n(-5).
5
Suppose -3*v + 870 = -8*v. Let d = v + 253. Let n(z) = 2*z. What is the remainder when d is divided by n(10)?
19
Suppose -65 = -5*l + 105. Let i = 6 + -8. Calculate the remainder when l is divided by 8 - i/(0 - -2).
7
Let u = -1497 + 1574. Calculate the remainder when 537 is divided by u.
75
Let k(b) = -6*b**3 + 7*b**2 + 3*b + 4. Calculate the remainder when 1005 is divided by k(-1).
11
Let r(b) = -b - 1. Let u(x) = -2*x - 5. What is the remainder when r(-4) is divided by u(-4)?
0
Suppose 0 = -2*g + 2*f + 952, -4*g = g + 3*f - 2356. What is the remainder when 177 is divided by g/(-33)*(-3)/1 + 2?
42
Suppose -3*w = 7 - 37. Suppose o - w = -4*o. Suppose 38 = -o*y + 4*y. What is the remainder when 37 is divided by y?
18
Suppose -1 = 3*b - 5*t, -2*t = -b - 3 + 1. Let w = -35 + 31. Let r = b + w. Calculate the remainder when r is divided by 2.
0
Suppose 0*q = 3*q - 3*l - 21, l - 17 = -q. What is the remainder when (6/q)/(2/396) is divided by 25?
24
Suppose j + 3*j = 48. Suppose g = 39 - j. Suppose -w + 3 = 0, 249 = 3*m + 5*w - 0*w. Calculate the remainder when m is divided by g.
24
Let l(r) = -r**3 + 13*r**2 - 7*r - 24. What is the remainder when l(11) is divided by 8?
5
Suppose 4*a - 87 = -n, 3*n = a - 0 - 25. Suppose 0 = -12*x + 10*x + a. What is the remainder when 25 is divided by x?
3
Calculate the remainder when 701 is divided by 462/24 + 4/(-16).
17
Suppose 2 = -4*m + 10. Let r be 8*2*(1 - (-6)/(-8)). Suppose 0 = -5*u + 8*u + 2*n - 28, -14 = -r*u + 2*n. What is the remainder when u is divided by m?
0
Let c be 171/2 - (-1 - (-1)/2). Let y = 94 - c. What is the remainder when 87 is divided by y?
7
Suppose -134 = -5*n + 21. Let m = -118 + 241. What is the remainder when m is divided by n?
30
Let x(b) = -b**3 + 4*b**2 + 25*b + 2. Let z(c) = -c - 8. Let i be z(0). Let f(k) = k**2 - 4*k - 8. Calculate the remainder when f(i) is divided by x(7).
28
Suppose a = -0*a - 91. Let y = -110 - -46. Let j = y - a. What is the remainder when j is divided by 10?
7
Suppose 4*b - 2*o - 298 = 0, b + 88 = 2*b - 5*o. What is the remainder when 138 is divided by b?
65
Let d(i) = -i**3 - 2*i**2 + 4*i + 1. Let p be d(-3). Let z be (p + 12)/(6/3). Suppose z*r - 14 = 4*r. Calculate the remainder when 53 is divided by r.
11
Let d = -35 - -27. What is the remainder when -33*4/d*2 is divided by 9?
6
Suppose -4*k + 349 = -5*p, 5*k - 4*p = -0*k + 425. Calculate the remainder when k is divided by 13.
3
Suppose -3*x + 5*x = -32. Let n = x - -26. Calculate the remainder when (10 - 7) + 12*2 is divided by n.
7
Suppose 3*c - 132 = -3*c. Let o(r) = 2*r - 14. Let u be o(7). Suppose -2*i = -4*t + 174, 5*t - 4*t + 5*i - 16 = u. What is the remainder when t is divided by c?
19
Let w = 126 + -59. Let r = w + -49. Calculate the remainder when 123 is divided by r.
15
Suppose -4*b + 152 + 28 = 0. Suppose -2*g - 5*a + 344 = 0, -3*g + 3*a + 324 + 192 = 0. What is the remainder when g is divided by b?
37
Let a(d) = 3*d**2 + 71*d - 208. What is the remainder when 89 is divided by a(3)?
25
What is the remainder when 278 is divided by (-80)/14 - -6 - (-1980)/28?
65
Let s be 44/12 - 6/9. Let c = 137 + -37. Suppose d - 2*a - 36 = 0, -s*d - d - 3*a + c = 0. What is the remainder when 110 is divided by d?
26
Let w = -257 - -265. Calculate the remainder when 110 is divided by w.
6
Let f be (-26)/(-8) + 1/(-4). Let n be -10*(f + 21/(-6)). Suppose n*m + 12 = 112. What is the remainder when 38 is divided by m?
18
Let t(h) = 15*h + 6. Calculate the remainder when t(5) is divided by (123/(-4))/((-138)/184).
40
Let j(r) = -r**3 - 19*r**2 + 20*r + 14. Calculate the remainder when j(-20) is divided by 12.
2
Let l = 40 + -19. Let b = -170 + 121. Let h = b + 110. Calculate the remainder when h is divided by l.
19
Suppose -5*c + 6 = 2*x - 73, -5*x + 250 = 2*c. What is the remainder when x is divided by 27?
25
Let w(o) = 4*o**2 - 39*o + 12. What is the remainder when 133 is divided by w(11)?
66
Calculate the remainder when 11 is divided by (-26)/(-39)*(-6)/4*-3.
2
Let u(w) = w**3 + 15*w**2 - w - 9. Calculate the remainder when 419 is divided by u(-15).
5
Let s(a) = a - 22. Suppose c + 4*c - 135 = 5*h, c = -5*h + 39. What is the remainder when 12 is divided by s(c)?
5
Suppose -32 = 2*v + 4*k - 82, 0 = 5*v + 3*k - 90. Suppose 4*m + 6*m = 750. Let y = m + -71. Calculate the remainder when v is divided by y.
3
Let v = 720 + -704. Suppose l + 2*i = 6*l - 361, 0 = l - 4*i - 83. Let q = l + -41. What is the remainder when q is divided by v?
14
Let r = 415 - 357. Suppose -d + 50 = 2*d + 2*a, -75 = -4*d - a. Calculate the remainder when r is divided by d.
18
Let y = -129 - -139. What is the remainder