. Calculate the remainder when 69 is divided by f(n).
13
Let g be -3 + 0 + 48/3. What is the remainder when 35 is divided by ((-4)/1 - 0) + g?
8
Suppose -5*h - 5*c + 4*c = -605, -3*h + 356 = 2*c. Let r = h - 64. What is the remainder when r is divided by 15?
13
Calculate the remainder when 1593/(-118)*(-108)/2 is divided by 17.
15
Suppose o = -q, 5*o + 2*q - 40 = 5*q. Let l(b) = 8*b + 1. What is the remainder when l(1) is divided by o?
4
Let m(c) = -c**2 - 24*c + 66. Calculate the remainder when m(-23) is divided by 0/(-1) + (28 - -2).
29
Let y = 76 - 16. Suppose -4*m - 62 = -3*k, 2*k + 3*k + 2*m = y. What is the remainder when 39 is divided by k?
11
Suppose 0 = 4*y - 16*y + 576. Calculate the remainder when 180 is divided by y.
36
Let u = 108 - 109. What is the remainder when 20 is divided by 7 + -1 - (4/(-2) - u)?
6
Suppose -3*w + 2 + 19 = 0. Let t(m) = w + m + 4 - 2*m. Calculate the remainder when t(10) is divided by 1.
0
Suppose -11*a + 0 = -209. Calculate the remainder when 57 is divided by a.
0
Suppose 5*l - 113 = -2*w, -15*l + 17*l = 4*w - 262. Calculate the remainder when w is divided by 11.
9
Suppose 78 = 7*r - r. Suppose -r = -6*m + 11. What is the remainder when 6 is divided by m?
2
Suppose 2*o + o + 42 = 0. Let d = o - -33. Let y = -77 + 82. Calculate the remainder when d is divided by y.
4
Suppose 3*s + 5 = 17. Let o be (7 + -2)*(14 - 3). Suppose -s*u = -o - 5. Calculate the remainder when 27 is divided by u.
12
Suppose 0 = -u + 6*u. Suppose 2*a - 19 - 9 = u. What is the remainder when a is divided by 5?
4
Let n(d) = 8*d**3 - 3*d**2 - 3*d + 1. Let f be n(-2). Let k = f - -82. What is the remainder when 49 is divided by k?
10
Let x(l) = -l**2 - l - 10. Let o be x(5). Let m = o - -43. What is the remainder when 9 is divided by m?
0
Let s = -1 + 20. Let f(a) = a**3 - 16*a**2 + 5. What is the remainder when s is divided by f(16)?
4
Let s(l) = 3*l**2 + 117*l + 162. Suppose 6*h - 4*h = 190. What is the remainder when h is divided by s(-38)?
47
Let d(j) = -j**3 + 15*j**2 + 4*j + 21. Calculate the remainder when d(15) is divided by 7.
4
Let o be -18*((-2)/(-12))/((-1)/(-3)). Let i = 36 + o. What is the remainder when 52 is divided by i?
25
Let y(l) be the first derivative of -5*l**4/4 - l**3 - l**2/2 + 3. Suppose -4914 = -34*b - 8*b. What is the remainder when b is divided by y(-2)?
27
Let c = 217 - 126. Let x = 148 - c. Calculate the remainder when x is divided by 29.
28
Suppose 0 = -3*t - t - 36. Let r = 11 + t. Calculate the remainder when 35 is divided by (90/25)/(r/5).
8
Let f(y) = y**3 + 17*y**2 - 18*y + 16. Let x = -150 - -132. Calculate the remainder when f(x) is divided by 3.
1
What is the remainder when (-8)/((-144)/2619)*(-4)/(-3) is divided by 13?
12
Suppose -5*a - 37 = -3*w, 5*w - 25 = a - 0*a. Let y(o) = -o**2 + 8*o - 7. Let i be y(w). Let z = 7 + i. What is the remainder when 30 is divided by z?
14
Suppose 65 = -9*y + 14*y. Let f(x) = -x**3 + 15*x**2 - 12*x - 20. Let d be (-1)/(-2)*2*14. What is the remainder when y is divided by f(d)?
5
Let i(l) = 2*l**2 - 3*l + 3. Let r be i(2). Suppose r*q + 6 = 7*q. Suppose q*w - 32 = 2*w. Calculate the remainder when w is divided by 11.
10
Let j = -15 + 32. Let c = j - 3. Suppose -4*g + 96 = b, 6*g - 5*g - 29 = b. What is the remainder when g is divided by c?
11
Suppose 23 = -5*c + 88. Calculate the remainder when 166 is divided by c.
10
Let x = 725 + -359. What is the remainder when x is divided by 74?
70
Let z = 91 - -7. Let h = -63 + z. Let c(u) = u**3 - 5*u**2 - 11*u - 9. Calculate the remainder when h is divided by c(7).
11
Let y = 10 - 2. Calculate the remainder when -1*((-14)/35 + (-68)/5) is divided by y.
6
Suppose 2*o = 10, -2*w + 3*o = -0*o + 21. Calculate the remainder when 88 is divided by (35 - -1) + w*32/24.
24
Let x(a) = -2*a**2 - 10*a + 2. Let l be x(-5). Suppose 0 = 5*m - l*m - 63. What is the remainder when 80 is divided by m?
17
Let z(k) = 16 - 1 - 16*k**3 + 5 + 17*k**3. Calculate the remainder when z(0) is divided by 11.
9
What is the remainder when -245*(4 - 23/5) is divided by 30?
27
Let o(t) = t**3 + t**2 + t - 4. Let v be o(0). Calculate the remainder when 35 is divided by (v/(-10))/(5/150).
11
Suppose -4*g - g + 155 = 0. Suppose -2*h + 3*m + 251 = 0, -357 = h - 4*h - 2*m. Calculate the remainder when h is divided by g.
28
Suppose -8*a = -121 - 103. Calculate the remainder when 180 is divided by a.
12
What is the remainder when 164 is divided by ((-1)/3 + 0)/((-25)/2925)?
8
Calculate the remainder when 64 is divided by (-5)/(50/(-246)) - 26/(-65).
14
Let w(m) = -11*m - 39. Let v be w(-7). Let g = v + 7. Calculate the remainder when g is divided by 8.
5
What is the remainder when (1 + -4 - 0)/((-6)/238) is divided by 24?
23
Suppose -4*r + 2*r = -28. Let g be 4/r - (-330)/21. Suppose 0 = -2*o - 2*o + g. Calculate the remainder when o is divided by 3.
1
Calculate the remainder when (27/6)/(-3)*-64 is divided by 6/4 - 741/(-38).
12
Let p = -11 - 0. Let u = p - -13. Calculate the remainder when 37 is divided by 2/u*(-10 - -20).
7
Let y(c) = -c**3 - 6*c**2 + 13*c - 4. Calculate the remainder when 155 is divided by y(-8).
15
Let h(r) = 15*r - 9. Suppose 0*q + 2*q = 5*s + 9, 5*q = s + 11. What is the remainder when 81 is divided by h(q)?
18
Let y be 10 + -2 + 0 + -2. Let b = y + -2. Suppose -b*m + 245 = m. Calculate the remainder when m is divided by 26.
23
Suppose 110 = 3*a + 2*s, 2*a - 2*s - 47 - 13 = 0. What is the remainder when 234 is divided by a?
30
Let n(g) = -g**3 - 2*g**2 - 2*g - 1. Let w be n(-2). Suppose 3*k - 21 = -u - w, 4*u = -k + 50. What is the remainder when 59 is divided by u?
11
Suppose -2 = -5*b - 2*n, -2*b + 6*b - 4*n = 24. Calculate the remainder when (-9)/b*368/(-24) is divided by 18.
15
Suppose -5*u - 13*z + 11*z + 16 = 0, -5*z = -2*u + 18. What is the remainder when 208 is divided by u?
0
Suppose a + 86 = 2*x, 3*x - 122 = -a - a. Let c = x - 34. Calculate the remainder when 15 is divided by c.
7
Suppose -69*m = -74*m + 300. What is the remainder when 1139 is divided by m?
59
Suppose 2*c = -3*s + 176, 2*s + 73 = 5*c + 184. Calculate the remainder when s is divided by 10.
8
Let f(j) = j**2 - 2*j - 76. Let l be f(0). What is the remainder when 70 is divided by l/(-10) - (-8)/20?
6
Let c be (-30)/20 + 1/(-2). Let m(k) = -k**3 - k**2 + k - 1. Calculate the remainder when 3 is divided by m(c).
0
Suppose -4*z - 14 = -2*w, w + w - 2*z - 12 = 0. Let s be (-12)/(-36) - 20/(-3). Let v = s - -7. What is the remainder when v is divided by w?
4
Let c be (-9)/2*(-36)/(-27). Let w be (-44)/c*(16 - 7). Suppose 25*t = 28*t - w. What is the remainder when 87 is divided by t?
21
Let f(n) = -n**3 - 3*n**2 + 19. Let y(q) = -3*q**2 - 6 + 6*q**2 - q**2 - 6*q. What is the remainder when y(-5) is divided by f(0)?
17
Let n = 1431 + -954. Calculate the remainder when n is divided by 48.
45
Let w be 1/((-6)/8)*-78. Suppose 4*m + w = 8*m. Calculate the remainder when m is divided by 10.
6
Suppose 57*u - 66*u = -369. Let o(n) = n**3 - 7*n**2 + 7*n + 5. Suppose b = 4*b - 2*t - 16, 3*b - 15 = 3*t. What is the remainder when u is divided by o(b)?
8
Let c(r) = r - 1. Let i be c(3). Suppose 0 = -g + 5 - i. Suppose -g*q + 14 = 2. Calculate the remainder when 19 is divided by q.
3
Let p = 390 - 233. Calculate the remainder when p is divided by 32.
29
Let d(w) = -7*w - 1. Let x(j) = j**3 + 4*j. Let s be x(4). Suppose 4*a = -a + s. What is the remainder when a is divided by d(-1)?
4
Let w be ((-57)/4)/((-1)/(-4)). Let y = -29 - w. What is the remainder when y is divided by 15?
13
What is the remainder when (-86)/(-12) + 29/(-174) is divided by 8*-2*9/(-24)?
1
Suppose 5*m - 36*c - 175 = -41*c, 3*c - 25 = -m. Calculate the remainder when 128 is divided by m.
8
Let j be (-4)/(-2 + 1)*4. Suppose -4*b = -j - 32. Suppose 0 = -4*w + 64 - b. Calculate the remainder when 63 is divided by w.
11
Let a = 7 + -27. Let w = a - -65. Suppose -2*p - g + w = 0, 4*p - 6*p + 4*g + 20 = 0. Calculate the remainder when 78 is divided by p.
18
Calculate the remainder when (32/5)/(66/2640) is divided by 114.
28
Let f(s) = 2 + s + 3 + 8. Calculate the remainder when f(3) is divided by 9.
7
Suppose 2*w = 2*h + 128, -11*h + 284 = 5*w - 7*h. Let y(t) = -t**2 - 10*t - 5. Calculate the remainder when w is div