t r(p) = -p**3 + 6*p**2 + p - 8. Let i be r(7). Calculate the remainder when 0/(-2) + i/(-2) is divided by f.
11
Suppose -3*f + 4*f = 2. Let z(k) = -2*k**3 + k**2 + 3*k + 1. What is the remainder when z(-1) is divided by (f/4)/(1/2)?
0
Suppose 2*v - 3*v - 2 = 0. Let y be 5/v*(-16)/20. What is the remainder when 51 is divided by 24/(-2)*(-3)/y?
15
Suppose -5*x + 26*m + 138 = 23*m, -3*x + 2*m = -83. Calculate the remainder when 375 is divided by x.
24
Let z(n) = -n**2 + 19*n + 27. Calculate the remainder when z(5) is divided by 25.
22
Let u = -129 - -169. What is the remainder when u is divided by 4?
0
Suppose -29*q + 123 = -109. Calculate the remainder when 910 is divided by q.
6
Suppose -8*k = 5*t - 6*k - 30, -2*t - 2 = -2*k. Suppose -2*q - 3*f + 158 = 0, -322 = -t*q - 4*f + f. Calculate the remainder when q is divided by 43.
39
Suppose l = -4*l + 35. Suppose 3*y = -0*v - 3*v - 12, -2*v - 4 = 0. Let h = l - y. What is the remainder when h is divided by 3?
0
Suppose -4*f + 5*h + 22 = 0, -6*f - 6 = -8*f + 5*h. What is the remainder when 23 is divided by f?
7
Suppose 0*d - 8 = 2*d. What is the remainder when 52 is divided by (-34)/d - (-15)/6?
8
Suppose 3*t + 2*n - 439 = 0, 0 = -97*t + 92*t + 4*n + 717. What is the remainder when t is divided by 47?
4
Let x = 19 + -17. Suppose -5*c + 4*b + 401 = 0, 4*b - b + 159 = x*c. Calculate the remainder when c is divided by 28.
25
Suppose f + 72 = -3*w, 0 = -5*w - f - 99 - 23. Suppose -4*d + 156 = 4. Let n = d + w. Calculate the remainder when 36 is divided by n.
10
Suppose -18*v = 108 + 72. What is the remainder when 2/v - (-8488)/40 is divided by 54?
50
Let o = -54 + -3. Let h = -34 - o. What is the remainder when h is divided by 7?
2
Suppose -z - 10 - 2 = 0. Let i = 32 + z. Calculate the remainder when 58 is divided by i.
18
Let m(u) = -u**2 + 11*u - 6. Let q be m(10). Suppose 0 = -n + 3*k - 8, -2 - 34 = -5*n - q*k. Calculate the remainder when 15 is divided by n.
3
Suppose 4*k = 4*s - 16, -11 = -3*s - 8*k + 10*k. Suppose 3*j = 3 + 6. Calculate the remainder when s is divided by j.
0
Suppose 5*u + 38 = -7. Let x = u - -14. Suppose -x*l = -4*h + 44, -6 = -2*h - l + 2. What is the remainder when 23 is divided by h?
5
Let b = 3 - 4. Let y = 33 + -29. What is the remainder when y is divided by 2*(3 + -2) - b?
1
Suppose 1 = -z + 4*s + 12, -59 = -4*z + s. Suppose 5*h = -0*h + z. Suppose -h*w + 33 = x, 3*w + 3*x = -w + 39. What is the remainder when 45 is divided by w?
9
Let t = 18 - 7. Let y = 5 + t. Calculate the remainder when (466/10 - -1) + 30/(-50) is divided by y.
15
Suppose 2*h - 3*a - 12 = 0, 0*h + 39 = 5*h - 3*a. Suppose h*u - 66 = 3*u. What is the remainder when 40 is divided by u?
7
Suppose -l = -4*x + 184, 46 = -0*x + x + 4*l. What is the remainder when 76 is divided by x?
30
What is the remainder when 66 is divided by (-16 - -1)*(-10)/6?
16
Suppose 5*i - 26 = -3*y, -2*i - 3*i + 16 = -2*y. Suppose 0 = -y*x + 42 + 24. Let v = -272 + 279. What is the remainder when x is divided by v?
5
Suppose -2*h + 3*j = -7, -j + 3*j = 5*h - 12. Suppose -h = -a + 9. What is the remainder when 19 is divided by a?
8
Suppose -15 = -41*i + 38*i. Suppose i*r - 195 = -75. Calculate the remainder when r is divided by (-1 + 1 - 3)*-3.
6
Let k = -27 - -26. What is the remainder when (-1)/(33/(-30) - k) is divided by 3?
1
Let d(n) = 2*n**2 - 28*n - 53. Calculate the remainder when 83 is divided by d(16).
6
Let s(v) be the third derivative of 11*v**4/12 + 5*v**3/6 + 22*v**2. What is the remainder when 80 is divided by s(1)?
26
Let m(h) = h**2 - 14*h + 14. Suppose 0 = -5*q + 320 - 40. Calculate the remainder when q is divided by m(15).
27
Let q = 2 + 0. Suppose -9*h + 11 = -7. Calculate the remainder when -54*h/(-4) - q is divided by 7.
4
Let p(g) = g**3 - 4*g**2 - g - 2. Let x be p(6). Let s be -6*1/(-2)*63. Suppose s = 5*l + x. Calculate the remainder when 97 is divided by l.
22
Let p = 57 + -39. Calculate the remainder when 268 is divided by p.
16
Let o(m) = 10*m**2 - 1. Let a = -7 + 6. Let z be (4/8)/(a/2). Calculate the remainder when o(z) is divided by 4.
1
Suppose -5*v = 46*v - 561. Suppose k - 42 = -10. What is the remainder when k is divided by v?
10
Let b(w) = -9*w - 65. What is the remainder when b(-11) is divided by (3/5)/((-6)/(-90))?
7
Suppose 0 = -4*s + i + 13 + 2, s - 12 = 3*i. Suppose -s*o + 10 = -o. Suppose -o*b - 18 - 2 = 0, 2*l - b = 26. What is the remainder when 20 is divided by l?
9
Let c(n) = n**3 + 30*n**2 - 3*n - 3. What is the remainder when c(-30) is divided by 8?
7
Let n be (124/(-3))/(6/(-117)). Calculate the remainder when 107 is divided by 36/270 - (-3)/(90/n).
26
Suppose 5*f - 69 = 91. Let b = f + -9. Suppose 0 = 4*j - h - 38, 3*j + 0*j - 33 = 3*h. What is the remainder when b is divided by j?
5
Suppose 2*q - 7*q - 87 = -4*d, 0 = 4*d - 4*q - 84. What is the remainder when 18 is divided by d?
0
Suppose -5*i - 1569 - 5126 = 0. Let a be i/(-65) - 6/10. Suppose a*h - 21*h = -14. Calculate the remainder when h is divided by 4.
2
Let m(t) = 11*t**2 + 1. Let h(i) = i**3 + 5*i**2 - 8*i - 5. Let a be (14/6 + -3)*9. What is the remainder when m(1) is divided by h(a)?
5
Suppose 5*a + 68 = -c - 2, -3*c = 3*a + 42. Let v(k) = -393*k**3 - k + 2. Let w be v(1). What is the remainder when ((-26)/(-8))/(a/w) is divided by 23?
22
Let g be 3/(-12) - (-2 - (-28)/16). Suppose g = 8*m + 4*m - 264. What is the remainder when m is divided by 5?
2
Suppose -2*t = -10*t - 24. Let n(m) = -2*m**3 - 3*m**2 - 2*m - 3. What is the remainder when 58 is divided by n(t)?
28
Suppose 10*l = 15*l - 50. Let q(k) = k**2 - 5*k - 34. Let x(m) = -7*m**3 - 2*m + 1. Calculate the remainder when x(-2) is divided by q(l).
13
Calculate the remainder when -1 + 16/20 - 3458/(-65) is divided by 8.
5
Let f(i) = -2*i**2 - 16*i - 1. Calculate the remainder when 64 is divided by f(-5).
6
Suppose -15 = 5*b + 45. Calculate the remainder when (-3)/b + (-2)/((-24)/153) is divided by 8.
5
Suppose -59 = -17*n + 94. Calculate the remainder when n is divided by 2.
1
Suppose 2*d + 5*y + 4 = -d, 5*d + y = 8. What is the remainder when 4 is divided by d?
0
Suppose 24*k - 21*k + 177 = 0. Let a = 80 + k. Calculate the remainder when 145 is divided by a.
19
Calculate the remainder when (-1 + (-24)/(-15))/((-18)/(-1170)) is divided by 31.
8
Let k be 1*(-6)/9*-3. Let z(p) = 8 + p**k + p + 2*p - 1 + 0*p. Calculate the remainder when z(7) is divided by 20.
17
Let d = -260 - -291. Let j = -17 + 5. Let g = j + d. Calculate the remainder when 73 is divided by g.
16
Suppose -5*f = -147 + 22. Calculate the remainder when f is divided by (39/6 + -6)*(-32)/(-1).
9
Suppose 44*j = 45*j - 53. What is the remainder when j is divided by 11?
9
Suppose 2*c + 70*j = 73*j + 19, 3*c + 14 = -4*j. Calculate the remainder when 74 is divided by c.
0
Suppose 7*o = -332 + 1389. Calculate the remainder when o is divided by 53.
45
Suppose 0 = -61*m + 3087 + 7283. What is the remainder when m is divided by 11?
5
Suppose 1496 - 4186 = -10*y. What is the remainder when y is divided by 48?
29
Let x be (1 - -4)*(-56)/(-10). Let q(t) = 3*t**2 + 2*t - 5. Let y be q(2). Let o = x - y. What is the remainder when o is divided by 4?
1
Let d = 820 - 812. What is the remainder when 53 is divided by d?
5
Calculate the remainder when 190 is divided by 182/(-52)*(-16 - -2).
43
Let h(q) = 4*q - 4. Let t be h(12). Suppose -3*i - 2*l + 62 = 2*l, 2*i - t = -4*l. What is the remainder when 3 is divided by (-145)/(-45) + (-4)/i?
0
Let d = -7 + 7. Suppose d = 3*b - 6*b + 12. Suppose b*z - 72 = -2*c, 3*c - 2*z = 7*c - 144. Calculate the remainder when c is divided by 13.
10
Let d be (1 + -5 + 21)/1. Let f = d - -26. What is the remainder when 84 is divided by f?
41
Suppose 10*h = 23*h - 1027. Calculate the remainder when h is divided by 27.
25
Let i = 70 + -2. Calculate the remainder when 64 is divided by 1*-3*i/(-12).
13
Let u be (18/(-1 + 4))/((-6)/(-8)). Let d(k) = 5*k - 30. What is the remainder when -5 + 3 + -1 + 32 is divided by d(u)?
9
Suppose -5*z + 17 - 1 = 2*q, q = -3*z + 10. What is the remainder when 36 is divided by ((-49 - 3)/z)/(-1)?
10
Suppose -2*k + 2 = -106. Calculate the remainder when 78 is divided by k.
24
Suppose -5*c = -129 - 1. Let a(g) = 2*g + 37. Let d be a(-16). Suppose -n = -2*h - 