 20*b - 16*b + 12223, a + 4*b = 2459. Calculate the remainder when a is divided by 136.
135
Let s = -132 - -100. Calculate the remainder when 2*-1*s/4 is divided by 3.
1
Let l(v) = -4*v**3 - 9*v**2 + 9*v + 7. Let b(g) = -5*g**3 - 10*g**2 + 10*g + 8. Let f(c) = -5*b(c) + 6*l(c). What is the remainder when f(4) is divided by 12?
6
Let v(m) = -2*m**2 + 20*m + 7. Calculate the remainder when 148 is divided by v(9).
23
Let h(r) = r**3 - 8*r**2 - 6*r - 9. Let p(g) = g**3 + 14*g**2 - 17*g - 21. Let o be p(-15). Calculate the remainder when h(o) is divided by 7.
4
Suppose -u + 54 = 2*t, -t + 36 = -2*u + 14. Suppose 3*s = 10*f - 807 + 306, -4*f + 216 = 4*s. Calculate the remainder when f is divided by t.
25
Let a = 42 + 35. What is the remainder when a is divided by 27?
23
Suppose -x + 50 = 2*l, 3*x - 71 - 31 = -4*l. Let w be l/(-16)*132/(-9). Suppose 4*h - w - 134 = 0. Calculate the remainder when h is divided by 7.
4
Let n(p) = p**2 + 2. Let t(w) = w**3 + 4*w**2 - 9*w - 16. Calculate the remainder when t(-4) is divided by n(-3).
9
Suppose 7*v - 2*v - 4*t = 44, 3 = -3*t. Suppose y = -1, -14*y + 11*y - 282 = -3*w. Calculate the remainder when w is divided by v.
5
Suppose 4*j = -3*j + 21. Suppose 8*t - j*t = 375. Calculate the remainder when t is divided by 26.
23
Calculate the remainder when 777 is divided by 11/(66/(-36)) + 35 + 1.
27
Let s(h) = -h**3 - 2*h**2 + 11*h - 7. Calculate the remainder when 36 is divided by s(-5).
10
Let z = -1336 - -1306. Suppose 0 = 4*f + x - 81, -5*f + 4*x + 96 = -0*f. Calculate the remainder when 109 is divided by f/(-150) + (-844)/z.
25
Let o(y) = y**3 + 20*y**2 - 21*y + 31. Calculate the remainder when 112 is divided by o(-21).
19
Calculate the remainder when 51/(2 - -1) - (-26 - -23) is divided by 12.
8
Let c(k) = k**2 - 24*k - 98. What is the remainder when 165 is divided by c(28)?
11
Suppose -2*u = 5*a - 121, -188 - 39 = -4*u + 5*a. Suppose t - 3 = 0, i - t - 2*t = -12. Let p = i + u. What is the remainder when p is divided by 19?
17
Suppose -13*k = -42 - 335. What is the remainder when 64 is divided by k?
6
Suppose 3*n = 6*n - 54. Let w = 36 - 32. Calculate the remainder when n is divided by w.
2
Suppose p - 100 = -5*w, p + 48 = 5*w - 42. What is the remainder when 1270 is divided by w?
16
Let g = 105 - 53. Calculate the remainder when 147 is divided by g.
43
Suppose -j - 7*v + 6*v = -2, -8 = 2*v. Calculate the remainder when 148 is divided by j.
4
Let x(q) = 32*q - 15. What is the remainder when x(1) is divided by 15?
2
Suppose 1 + 5 = r. What is the remainder when 6 is divided by (r/126 - 4/(-14))*6?
0
Suppose 0 = 3*u - 3*j + 3, -u - 4*u = j - 25. Let i(v) = v**2 + 9*v - 81. Calculate the remainder when i(-15) is divided by u.
1
Suppose -14*h = -15*h + 107. Calculate the remainder when h is divided by 48.
11
Let z be (20 - -4)*(30/9 - 2). Suppose -z*l + 36*l - 180 = 0. Calculate the remainder when l is divided by 3.
0
Let a = -66 + 111. Suppose -3*p = -53 - 31. Let l = p - 12. Calculate the remainder when a is divided by l.
13
Let j be 0/2 + 40/(-2). Let d = 38 - 66. Let z = j - d. What is the remainder when 13 is divided by z?
5
Let i be 5*1 + (-10)/10. Suppose -i*f + 231 = -0*f + 5*m, -4*f = -4*m - 240. What is the remainder when f is divided by 15?
14
Calculate the remainder when (-49520)/(-136) + 3 - (-4)/(-34) is divided by 41.
39
What is the remainder when 330 is divided by (115/20)/(-23)*148/(-1)?
34
Suppose -2*k + 2 = 4*y, -k - 3*y - 2 = -1. Suppose 0 = -k*m + 3*m + 52. Suppose 0 = -v - 0*v + 14. Calculate the remainder when m is divided by v.
12
Suppose 1 = -4*n + 5. Suppose 0 = 2*g - 11 + n. Suppose 0 = 4*q + 2*z - 7*z - 20, -q = -2*z - g. Calculate the remainder when 23 is divided by q.
3
Suppose 0 = -g - 5*g + 36. Let q(p) = -p**3 + 8*p**2 - 10*p + 12. Calculate the remainder when q(g) is divided by 5.
4
Let u = -9 + 17. Suppose -9*d + u*d = 39. Let p = d - -55. Calculate the remainder when 45 is divided by p.
13
Let q(n) = 12*n**2 - 8*n - 6. Let m be q(8). Suppose 3*l + 12 = 6*l. What is the remainder when m/18 + l/18 is divided by 14?
11
What is the remainder when 510 is divided by ((-1022)/98)/((-2)/14)?
72
Suppose -2*h = -10*l + 5*l - 475, 5*h - 1135 = 2*l. Suppose -5*f = -d + 58, -178 = 28*d - 33*d - 3*f. What is the remainder when h is divided by d?
35
What is the remainder when 285 is divided by (-21)/(315/(-20))*(18 + 0)?
21
Calculate the remainder when 34 is divided by (-194)/(-22) + -2 + 168/77.
7
Let p(m) = 6*m + 32. Let t be p(-6). What is the remainder when 2 is divided by -4 + t*3/(-2)?
0
Suppose 5*w + 45 = -3*s, -s + 14 = -4*w + s. Let v(r) = -r + 4. What is the remainder when 19 is divided by v(w)?
9
Let r = -122 + 184. Suppose 2*k - 4*o - r = 0, 0*o - 2*o = 2*k - 38. What is the remainder when 87 is divided by k?
18
Let r(w) = -w**2 + 37*w + 67. Calculate the remainder when 317 is divided by r(37).
49
Suppose 38*j - 152 = -v + 34*j, 3*j + 12 = 0. What is the remainder when v is divided by 22?
14
Let a = 64 + -33. Let s = -28 + a. Suppose -s*w = 5*o - 54, w + o + o - 18 = 0. What is the remainder when 53 is divided by w?
17
Let s(j) = j**3 - 5*j**2 - 7. Suppose 3*f + 118 = 346. Let g = -68 + f. What is the remainder when s(6) is divided by g?
5
Let k be (-1)/((1/(-28))/((-18)/12)). Suppose -h + 5*i - 21 = 0, -3*h - 2*i - 48 = 32. Let u = h - k. Calculate the remainder when 31 is divided by u.
15
Let y(h) = 27*h**2 - h + 1. Let j = -24 + 33. Suppose 320 - 1265 = -j*i. Calculate the remainder when i is divided by y(1).
24
Calculate the remainder when (581 + 1)*((-60)/9 + 7) is divided by 15.
14
Suppose -c + 5*h + 6 = 0, -4*c - 3*h - h = 24. What is the remainder when (-2 - c) + 13/((-39)/(-90)) is divided by 18?
14
Let l be 3 + (1 - 4) + -9. Let w = 34 + -22. Calculate the remainder when 6 is divided by (l + w)/((-6)/(-10)).
1
Let m be 2/3 - (-5)/15. Let y be (3 - (-15)/m)*1. Suppose -7*s = -10*s + y. What is the remainder when 9 is divided by s?
3
Suppose 2*g + 4*c - 336 = g, -968 = -3*g - 4*c. Suppose -5*j - 4*t + 6*t + 81 = 0, j - 4*t - 9 = 0. What is the remainder when j is divided by g/36 - 8/(-36)?
8
Suppose 5*k + 57 = l, -2*k - 16 = 2*k. Suppose 0 = l*u - 36*u - 108. What is the remainder when u is divided by 37?
34
Let g = -1274 - -1609. What is the remainder when g is divided by 58?
45
Suppose 4*q + 4*x - 2996 = 1660, 0 = -x + 1. Calculate the remainder when q is divided by 12.
11
Calculate the remainder when 143 is divided by ((-3)/12)/((-1)/124).
19
Let h(r) = -9*r - 82 + 42 + 48 + 5*r**2. What is the remainder when h(5) is divided by 23?
19
Let w = 179 + -97. Calculate the remainder when 312 is divided by w.
66
Suppose 5*q + m + 2 = 0, 4*q + 6 - 2 = -2*m. Suppose -v - 5*s + 54 = q, -s - 26 = -2*v + 38. Calculate the remainder when 201 is divided by v.
31
Let m(r) be the third derivative of r**6/120 - r**5/12 + 5*r**4/24 - 4*r**3/3 - 8*r**2 + 3*r. Let j = -8 + 17. What is the remainder when m(5) is divided by j?
8
Let t = 38 + -33. Suppose -105 = -t*v + 20. Calculate the remainder when v is divided by 14.
11
Let z(h) = -44*h + 4. Let u be z(-2). Suppose 5*o + 3*a - 354 = u, -470 = -5*o + 5*a. Suppose -13*x + 9*x = -92. Calculate the remainder when o is divided by x.
22
Let d = -15 + 51. Let w = d + 11. What is the remainder when w is divided by 10?
7
Let j(a) = -2*a + 5. Let z(r) = -15*r**2 + 240*r + 49. Calculate the remainder when z(16) is divided by j(-4).
10
Suppose 0 = 31*m - 37*m + 120. Calculate the remainder when 26 is divided by m.
6
Let m = 13 + 8. Suppose -3*f + 78 = 2*c, -3*f + c + 8 + 79 = 0. What is the remainder when f is divided by 27/2 - m/(-14)?
13
Let v = -2 - -4. Let x be -1 + (-5 - -115)/11. Let d = x - v. Calculate the remainder when 12 is divided by d.
5
What is the remainder when 402 is divided by (-402)/(-33) + (-14)/77?
6
Let f be (-4 + 10)*10/8*22. Let n = f + -149. Calculate the remainder when 46 is divided by n.
14
Suppose 2*t + 286*z = 285*z + 1392, 1412 = 2*t - 4*z. What is the remainder when t is divided by 20?
18
Let d(h) = h**2 + 4*h - 2. Suppose 5*n - 10 = -2*o + 5, n + o = 0. Calculate the remainder when d(n) is divided by 15.
13
Suppose -13 = 2*l - 3*q - 97, 3*l + 5*q - 164 = 0. Calculate the remainder when 93 is divided by l.
45
Let n