
Let t(l) = l**3 + 35*l**2 - 32*l + 152. Let i(u) = -u**2 - u. Let d be i(-1). Let n(f) = -f**2 + 31. Calculate the remainder when n(d) is divided by t(-36).
7
Let r be (32/12)/((16/78)/4). Let o = 60 - r. What is the remainder when o is divided by 1?
0
Suppose -2*t - 5*z + 8 = -9, -2*t - z = -13. Let i = 82 + -59. Calculate the remainder when i is divided by t.
5
Suppose -22 - 65 = -3*f. What is the remainder when 63 is divided by f?
5
Let t(n) be the second derivative of -1/12*n**4 + 1/6*n**3 + 41/2*n**2 + 0 + 6*n. What is the remainder when t(0) is divided by 14?
13
Let h(a) = 2*a**3 - 70*a**2 - 2*a + 77. Suppose -n + 4*s = 49, n + 4*s + 176 = -3*n. Let y = 70 + n. Calculate the remainder when y is divided by h(35).
4
Calculate the remainder when (6/9)/(40/39420) is divided by 20.
17
What is the remainder when 11 is divided by ((-210)/(-84))/((-2)/(-8))?
1
Let r(v) = 6*v + 153. What is the remainder when r(-11) is divided by 1/(-2) - 178/(-4)?
43
Let s(m) = m**2 - m + 20. Let c = -6 - -6. What is the remainder when 118 is divided by s(c)?
18
Let l be 57 - (1 - (-15)/(-5)). Let f = 108 - l. Let d = -18 + 31. What is the remainder when f is divided by d?
10
Let i = -789 + 1597. Calculate the remainder when i is divided by 54.
52
Calculate the remainder when 86 is divided by (-76)/(-456) + (-550)/(-12).
40
Let j = -192 - -116. Let l = -38 - j. Let y(b) = 3*b**2 - b - 1. Calculate the remainder when l is divided by y(-2).
12
Let g be ((3 - 3)*-1)/(-1). Let p(d) = -2*d - 6. Let q be p(-5). Suppose q*m + 9 - 25 = g. What is the remainder when 7 is divided by m?
3
Suppose 15*v - 2911 = -16. What is the remainder when v is divided by 53?
34
Let h = 186 - 162. What is the remainder when h is divided by 2?
0
Suppose 248 = -2*v + 322. Calculate the remainder when v is divided by 36.
1
Let z(f) = f**3 + 12*f**2 - 15*f - 24. Let r be z(-13). What is the remainder when 28 is divided by ((-6)/(-12))/(r/68)?
11
Let v(u) = u**2 + 10*u + 20. Let a be v(-7). What is the remainder when 189 is divided by (2560/200)/(a/(-5))?
61
Let k(x) = -2*x - 2. Let o be k(-2). Suppose -o*d + 4*d - 36 = 0. Suppose -12*r = -33*r + 1092. What is the remainder when r is divided by d?
16
Suppose -3*u + 6 + 30 = 0. Let d = 22 - u. What is the remainder when 16 is divided by d?
6
Suppose 5*a = -2*p - 3, 3*a + 31 + 8 = 5*p. Calculate the remainder when 148 is divided by p.
4
What is the remainder when 1/((-2)/(-12) + (-2478)/15084) is divided by 10?
9
Let b = -93 - -95. Suppose -3*s - 661 = -4*c + b*s, 5*s - 15 = 0. Calculate the remainder when c is divided by 17.
16
Let h(w) = w**3 + 14*w**2 - 3*w + 13. What is the remainder when 329 is divided by h(-14)?
54
Let z = 5 + -7. Calculate the remainder when (-3)/z - 350/(-20) is divided by 7 + (0 - (-9)/3).
9
Suppose -3*y + 2*w - 19 + 76 = 0, 4*y + w = 87. Suppose 0 = -3*p + p. Calculate the remainder when y is divided by -2 - 13*(p - 1).
10
Suppose 0 = -g - 4*i + 7, 4*g + 32 = -0*g + 4*i. Let k = -2 + 2. Let w = k - g. What is the remainder when 9 is divided by w?
4
Let u(f) = 12*f**2 + f + 1. Let v be u(1). Suppose -2*q + 0*q = v. Let c(j) = -2*j - 7. What is the remainder when 13 is divided by c(q)?
6
Let r(f) = f**2 + 3*f + 5. Let l = 64 - 37. Suppose 0 = -3*p + 5*b + l, 3*p - 2*b = -4*b + 6. Calculate the remainder when r(-4) is divided by p.
1
Let v(q) = 52*q**2 + 4*q - 5. Calculate the remainder when 199 is divided by v(1).
46
Let w = 1152 - 1046. What is the remainder when w is divided by 12?
10
Suppose 2*f = 3*l + 484, 4*f = -l + 137 + 859. What is the remainder when f is divided by 28?
24
Let i be (-1 + 10)*24/9. Suppose 0 = -2*x + i - 0. Suppose 6 = 14*r - 64. What is the remainder when x is divided by r?
2
Let p(k) = -k**2 + 43*k - 4. What is the remainder when p(39) is divided by 80?
72
Calculate the remainder when 8 + 8130/66 - (-4)/(-22) is divided by 28.
19
Let t be (-2)/(-2)*(-5 - -7). What is the remainder when (-76)/(-3)*3/t is divided by 20?
18
Suppose 0 = -4*k + 111 - 19. Suppose 3*q + 5*a - k = 32, -4*a + 96 = 5*q. Suppose 3*l - q = 49. What is the remainder when l is divided by 6?
5
Suppose -4*u + 10 = -54. Calculate the remainder when u is divided by 10.
6
Suppose -5*s = -5*i + 575, -7*s + 6*s + 460 = 4*i. Calculate the remainder when i is divided by 4.
3
Suppose -j = 2*j + 12. Let f = 23 + j. Calculate the remainder when 258/8 + 5 - (-2)/(-8) is divided by f.
18
Let d(k) = 13*k - 2 + 7*k**2 - 15*k + 5*k**2. What is the remainder when 46 is divided by d(-1)?
10
Suppose -n - 4 = 2*n + 4*a, n - a - 1 = 0. Suppose 20 = 6*o - o. Suppose 0*z - 9 = z - o*p, 4*z + 5*p - 48 = n. What is the remainder when z is divided by 2?
1
Suppose 3*u - 5*j = 120 + 61, 55 = u + j. Suppose u + 13 = 7*n. Calculate the remainder when 27 is divided by n.
7
Let p(z) = z**2 + 41*z + 39. What is the remainder when p(-41) is divided by 11?
6
Let c = -87 + 90. Suppose 0 = -r + 4*a + 59, -r = r + c*a - 140. Suppose -3*z = -3*u - 54, -3*u = -3*z - u + 50. What is the remainder when r is divided by z?
11
Suppose 70 = 4*s + s - p, 0 = 5*s + 4*p - 70. Let w be s*(1 + 1/(-2)). What is the remainder when 20 is divided by 3*1/3*w?
6
Let c(v) = 12*v**2 - 25*v - 5. Calculate the remainder when 341 is divided by c(4).
80
Calculate the remainder when (-6 - 55/(-10))*(-134 + -2) is divided by 21.
5
Suppose -6365*o = -6369*o + 368. Calculate the remainder when o is divided by 19.
16
Suppose -194*l + 546 = -187*l. Let j(f) = 23*f. Let n(t) = -24*t. Let d(z) = -3*j(z) - 4*n(z). What is the remainder when l is divided by d(1)?
24
Let x(u) = u**2 - 2*u - 7. Let j = -4 - -1. Let o be x(j). Suppose 0 = 5*r - 3*z - o, 2*r - 4*z = 3*r + 3. Calculate the remainder when r is divided by 1.
0
Let t(w) = 4*w - 10. Suppose 5*b = -4*p + 6*p + 451, p - 442 = -5*b. What is the remainder when b is divided by t(7)?
17
Let y(d) = d**3 - 4*d**2 - 2*d + 7. Let k be y(3). Let p = -11 + 23. What is the remainder when (k/p)/(2/(-183)) is divided by 16?
13
Let z = -2 - 8. Let w = 238 - 191. What is the remainder when w is divided by z/(1*(-4)/10)?
22
Let q be (15 - (4 - 1)) + -1. Suppose -4*n - 1 + q = -z, -n = 5*z - 34. Calculate the remainder when 10 is divided by z.
4
Let m(b) = b + 49. Let r(o) = -2*o**3 - 3*o**2 - o + 1. Calculate the remainder when m(10) is divided by r(-3).
28
Let x = 157 - 111. Suppose -m = -2*c + x, 3*m = c - 0*m - 18. Let z = -879 - -884. Calculate the remainder when c is divided by z.
4
Let i(q) = -q + 2. Let j be i(0). Suppose -4*h - 29 + 61 = 0. Let g = h + j. Calculate the remainder when g is divided by 2.
0
Suppose -7*l - 84 = -11*l. What is the remainder when 5 + 82 + -3 - 5 is divided by l?
16
Let s = 9 - 5. Let m(w) = 5*w**2 + 14*w + 14. What is the remainder when m(-1) is divided by s?
1
Let y = 257 - 212. What is the remainder when y is divided by 2/(-4) + (-141)/(-6)?
22
Let v be 1*(-28)/6 - 26/78. Calculate the remainder when 10/v + (-15)/(-3) + 66 is divided by 18.
15
Let t(h) = 5*h**2 - 42*h - 13. Calculate the remainder when t(10) is divided by 21.
4
Let k(s) = -10*s**2 + 5*s - s**3 - 1 + 5*s - 2. What is the remainder when 12 is divided by k(-11)?
4
Suppose -4*v + 212 = 2*i, -3*v + 2*i = -5*v + 104. Let n(l) = 25*l - 1. Let o be n(-1). What is the remainder when v is divided by 282/26 + (-4)/o?
10
Let w(b) = -17*b**3 + 2*b**2 + 2*b + 1. Let z(p) = 14*p**2 + p + 1. Let t be z(-1). Let c be t/(-10) + 8/20. What is the remainder when 70 is divided by w(c)?
16
Let v be ((-45)/(-18))/(2/4). Suppose -4*o + v*k + 5 = 0, 5*k + 8 = 4*o + k. Calculate the remainder when o is divided by 1.
0
Suppose 0 = -3*v + 6, -2*k + 2*v - 4*v - 154 = 0. Let j = k + 212. Calculate the remainder when j is divided by 27.
25
Let j(y) = -y**2 + 10*y + 7. Let g(u) = 6*u - 40. Let k be g(8). What is the remainder when 86 is divided by j(k)?
17
Suppose 5*p + 5*i - 50 = 0, -i + 26 = 2*p - 5*i. Let c = 54 - 23. What is the remainder when c is divided by p?
9
Let w(c) = -5*c**2 - 2*c - 1. Let o be w(-4). Let v = o + 94. Calculate the remainder when 82 is divided by v.
19
Let q be 0 - (0 + -3 - 5). Suppose -3*w = -w - q. What is the remainder when 9 is divided by w?
1
Let o be 35/11 + (-20)/110. Suppose 0 = -3*k - 0*t + o*t + 12, -k + 2*t + 9 = 0. Let j(h) = -33*h - 2. 