*t. Let u(l) = 5*l + 7. Let s be u(t). Let n = 1 - s. Calculate the remainder when 25 is divided by n.
7
Let l(w) = 2*w + 21. Let a be l(-9). What is the remainder when 23 is divided by ((-5)/a)/(75/(-270))?
5
Let m(l) = l**3 - 13*l**2 - 11*l + 1. Let f be (2/3)/((-1)/(-21)). Calculate the remainder when m(f) is divided by 11.
10
What is the remainder when (92/8)/(7/14) is divided by 12?
11
Let r(g) = g**2 + 11. Let m be (-1)/((-1)/(-28)*-2). Let y = -14 + m. What is the remainder when r(y) is divided by 7?
4
Suppose 5*u + 361 - 691 = 0. Let v = -2 - -2. Suppose 7*w - w - u = v. Calculate the remainder when 63 is divided by w.
8
Suppose 49*x - 52*x - 285 = 0. What is the remainder when 50 is divided by (6 + -1)*x/(-25)?
12
Let s(v) = v**3 + 29*v**2 + 54*v - 16. Let w be s(-27). Calculate the remainder when ((-1)/(4/(-37)))/((-4)/w) is divided by 11.
4
Let l(w) = 9*w**2 - 32*w + 11. What is the remainder when 50 is divided by l(4)?
23
Suppose -p = 4*t - 217, -35 = -2*t + p + 66. What is the remainder when 1589 is divided by t?
52
Let o = -27 + -6. Let u = -24 - o. Calculate the remainder when 15 is divided by u.
6
Suppose 0 = -35*y + 36*y + 29. Let g = y - -50. What is the remainder when 82 is divided by g?
19
Suppose 1208 = 7*y - 395. Calculate the remainder when y is divided by 108.
13
Suppose 56 + 0 = 5*l + y, y + 52 = 4*l. What is the remainder when 1475 is divided by l?
11
Suppose n - 1 = 2. Let m = 4 + n. Let x = -7 + 18. Calculate the remainder when x is divided by m.
4
Suppose -l - 2*l + 3 = 0. Let d = -172 - -189. Calculate the remainder when d is divided by 2 - (l + 3 + -7).
2
Let z = -42 + 45. Suppose 0*u = z*u - 111. Let y(t) = t**3 - 5*t**2 + 4*t - 1. What is the remainder when u is divided by y(5)?
18
Suppose 0 = -3*x + 2*n + 33, -3*x + 1 = -4*n - 26. Suppose h - 101 = -3*c, c + h + 0*h - 31 = 0. Calculate the remainder when c is divided by x.
9
Suppose -56*a = -70*a + 1218. What is the remainder when a is divided by 31?
25
Suppose -2195*o + 144 = -2194*o. Calculate the remainder when o is divided by 49.
46
Suppose 460*c - 140 = 450*c. What is the remainder when c is divided by 6?
2
Let k(a) = 3*a**3 - 6*a**2 - 3*a + 60. Calculate the remainder when k(4) is divided by 40.
24
Let o(k) = 24*k - 8. Suppose -2*i = -3*a + 23, -2*a - 2*i = a - 31. Let n be o(a). Calculate the remainder when (-1)/2*n/(-4) is divided by 14.
12
Let g = -190 - -207. Let z = -10 - -17. What is the remainder when g is divided by z?
3
Suppose -j + 1777 = 1728. What is the remainder when j is divided by 31?
18
Let r(b) = -b**3 + 9*b**2 + 11*b - 8. What is the remainder when (-5 - 70/(-20))*1*-4 is divided by r(10)?
0
Let v be (-658)/(-70) - (-6)/(-15). Let y(l) be the third derivative of -l**6/120 + 2*l**5/15 + l**4/2 + l**2. What is the remainder when y(v) is divided by 10?
7
Let z = -14 - -23. Let v(b) = b**3 - 8*b**2 - 8*b + 10. Let q = 1 + 10. What is the remainder when v(z) is divided by q?
8
Let n = -120 - -125. Calculate the remainder when 50 is divided by n.
0
Let n(m) = m + 20. Let a be n(-15). Suppose 4*q = a*i + 70 - 561, -2*q - 293 = -3*i. What is the remainder when i is divided by 16?
15
Suppose -5*i - 155 = -4*j, -4*i - 124 = -0*i - 4*j. Let q = i - -74. What is the remainder when q is divided by 23?
20
Let p(m) = 3*m + 2. Suppose -4*u = 4*q - 112, 3*u - 2*u - 3*q = 8. Let x = u - -7. Calculate the remainder when x is divided by p(2).
6
Suppose -25*y + 40*y = 285. What is the remainder when 46 is divided by y?
8
Suppose k = 10*k - 27. Suppose -2*i + 61 = h - 42, k*i = -h + 154. Calculate the remainder when 99 is divided by i.
48
What is the remainder when (-278)/(-6) + 2/(-6) is divided by 171/15 - ((-54)/(-10))/(-9)?
10
Let c = -3 + 10. What is the remainder when 118 is divided by c?
6
Suppose 4*p + p - 10 = 0. Let a be (-64)/(-10) + p/(-5). Suppose -30 = 4*z - a*z. What is the remainder when z is divided by 6?
3
Let i(v) = 14*v**3. Suppose 260 = 5*u + 5*a, -2*a + 210 = 2*u + 2*u. What is the remainder when u is divided by i(1)?
11
Let f be (-1)/(3/9) + 3. Calculate the remainder when 146 is divided by -20 - -24 - (-21 + f).
21
Suppose 55*w = 186*w - 19650. What is the remainder when w is divided by 67?
16
Let u = -1 + 25. Let x = u - 8. What is the remainder when 31 is divided by x?
15
Suppose 4 = -i + 1, 0 = 3*b + 4*i - 129. Calculate the remainder when b is divided by (-3)/(-5) + 1566/90.
11
Let m = -146 - -160. What is the remainder when 137 is divided by m?
11
Suppose 2*y - 20 - 10 = 5*m, 3*m = 5*y - 75. What is the remainder when 112/5 + (-6)/y is divided by 8?
6
Suppose 4*h = 8, -8*b + 4*h + 5974 = -5*b. Calculate the remainder when b is divided by 27.
23
Suppose -108 = -149*p + 145*p. Calculate the remainder when 268 is divided by p.
25
Let l be 2/(1*(3 + -5)). Let n be (l/(-3))/(12/(-36)). What is the remainder when -2 + 3 + n - -9 is divided by 6?
3
Let d be (-12)/9 + (-8)/(-6). Let b(n) = -3*n + 94. What is the remainder when b(d) is divided by 19?
18
Let p be (-1)/((-20)/7 - -3). Let g = 17 + p. What is the remainder when 69 is divided by g?
9
Calculate the remainder when 270 is divided by 4 + -2 + (26 + -2 - -9).
25
Suppose -72 = -11*v + 7*v. What is the remainder when 34 is divided by v?
16
Suppose -1772*v + 1769*v = -54. Let y = 15 - 8. Calculate the remainder when v is divided by y.
4
Let b(i) = i**3 - 2*i**2 + 8*i - 10. Let a = -1 - -2. Let j(d) = 10*d**3 + d**2 - d + 1. Calculate the remainder when b(4) is divided by j(a).
10
What is the remainder when (-4)/2*214/(-4) is divided by 22*1/1*(799/(-34) - -26)?
52
Suppose -4 = 4*p - u, u + 3 = -2*p - p. Suppose -55 = -5*y + 175. What is the remainder when y is divided by p/((-1)/15) - -2?
12
Let w(g) = 3*g**2 - g - 5. Let u be w(-2). Suppose -174 = u*o - 1020. Let v(k) = -k**2 + 12*k - 4. What is the remainder when o is divided by v(10)?
14
Suppose 0*w = -4*w - 5*z + 697, 170 = w - 3*z. Let m = 249 - w. Suppose -2*g + m = -0*g. Calculate the remainder when g is divided by 13.
12
Suppose -5*q + 0 + 20 = 0. Let c(f) = 8 + f - q + 9. What is the remainder when 15 is divided by c(-9)?
3
What is the remainder when (-1 - -35)*3/2 is divided by (11/(-12) + (-36)/432)*-27?
24
Suppose -12 = -5*g + g - 2*r, 4*r + 24 = 4*g. Suppose 40 = 4*y - g. Calculate the remainder when y is divided by 5.
1
Let u = -2 - -8. Suppose 6 = -u*d + 8*d. Suppose -3*q = -2*w - 35, 15 = -2*q + 3*q - 4*w. What is the remainder when q is divided by d?
2
Let i be (0 - 5)*322/(-35). Let m = 70 - i. Calculate the remainder when m is divided by 5.
4
Suppose 11 + 5 = 2*b. Suppose -1 + 11 = 4*l + 5*u, 5*l - 5*u = 35. What is the remainder when l is divided by (-3)/((36/b)/(-3))?
1
Suppose -4*v + 5*m + 208 = 0, 2*m = v + 6*m - 52. Let h = v + -13. Let p = -15 + h. Calculate the remainder when 45 is divided by p.
21
Suppose 17*f + 44 = 418. What is the remainder when 61 is divided by f?
17
Suppose -13 = -i - 5*q, -3*q + 10 + 3 = -2*i. Let v = -28 - i. Let a = 35 + v. Calculate the remainder when 33 is divided by a.
6
Let r = -3 + 6. Let q be r/(-9)*-6 - 2. Suppose k - 5*n = 11, 86 = 4*k + n - q*n. Calculate the remainder when 39 is divided by k.
18
Let s(m) = 8*m**2 + m - 6. Let u be s(3). Suppose -2*r = 2*o - 30, -5*r + 5*o = 14 - u. Calculate the remainder when r is divided by 6.
1
Suppose -1036 = 778*w - 785*w. What is the remainder when w is divided by 50?
48
Suppose 4*u - 18 + 4 = 2*i, -4*i = 4*u - 44. Calculate the remainder when 31 is divided by u*4*4/72*6.
7
Suppose 3*l - 19 = 149. Let r be 2/3*1 + 615/9. Calculate the remainder when l is divided by 989/r + (-4)/(-6).
11
Suppose 5*w = -11 + 6. Let l = 0 - -1. What is the remainder when 17 is divided by l*(0 + (-5)/w)?
2
Suppose 3*l + 57 = 3*v, -3*v + 5*l + 1 + 62 = 0. What is the remainder when 59 is divided by v?
11
What is the remainder when (10 - 6)/(2/16) is divided by 6?
2
Calculate the remainder when (16*13/(-2))/(12 + -14) is divided by 7.
3
Let v = -55 + 22. Let g = 39 + v. What is the remainder when 22 is divided by g?
4
Let b = -892 + 925. Calculate the remainder when 625 is divided by b.
31
Let t be (1*-2)/((-8)/256). Suppose 2*p - t = 3*g, -g - 20 = p - 57. Suppose 3 = -z, 12 + 3 = 2*l + 3*z. Calculate the remainder when p is divided by l.
11
Let a =