. Calculate the remainder when f is divided by 9.
7
Let n be 0*2/8*-2. Suppose 5*h - 50 = -5*b, -3*h + 10 = -2*b - n. Calculate the remainder when h is divided by 12/(-2)*3/(-6).
0
Suppose 0 = -4*a + 5*y + 305, -4*a + 253 = 3*y - 44. Calculate the remainder when a is divided by 19.
18
Let r(t) = t - 1. Let a(j) = -11*j + 9. Let b(l) = -3*a(l) - 24*r(l). Calculate the remainder when 46 is divided by b(3).
22
Suppose 4*r - 10 = -2. Suppose 2*k - 24 = -r*k. Let a = 15 - 4. Calculate the remainder when a is divided by k.
5
Suppose 5*j - 4*j - 6 = 0. Calculate the remainder when 22 is divided by j.
4
Let b(j) = -2*j**3 - 4*j**2 - 3*j + 1. Calculate the remainder when b(-4) is divided by 26.
25
Let i(q) = -q**3 + q + 1. Let y be i(0). Let z(o) = 0*o + o - 1 + 1 + y + o**2. What is the remainder when 26 is divided by z(-3)?
5
Let n = 66 - 39. Suppose -2*j - 30 = 4*w, 0 = j + 3*j - 3*w + n. Let d = 22 + j. Calculate the remainder when 23 is divided by d.
10
Suppose 63 = 2*h + h. Suppose -g - g = -22. What is the remainder when h is divided by g?
10
Let l(y) = y. Suppose -2*b = -0*b. Let h = b - -4. What is the remainder when h is divided by l(2)?
0
Let b(f) = -2 - 7 + 1 + 3*f. Let r be b(7). Suppose -2*i + 33 = r. Calculate the remainder when 28 is divided by i.
8
Let q = 14 - 8. Suppose 0 = l - q - 11. Calculate the remainder when 33 is divided by l.
16
Suppose -10 = -2*u, 2*j - u - 2*u = 393. Calculate the remainder when j is divided by 41.
40
Suppose -296 = -4*l - 2*g, 4*l + l - 3*g = 359. What is the remainder when l is divided by 15?
13
Suppose 4*g - 3*j = 5, -g - 2*j - 2*j = -6. Let m(i) = -i - 11. What is the remainder when m(-13) is divided by g?
0
Calculate the remainder when 1 + (1 - 0) - -23 is divided by 4/(-6) - (-246)/18.
12
Suppose 117 = 6*b - 3*b. Suppose 5*g - 5*i + 4*i = b, -i = 5*g - 31. What is the remainder when g is divided by 4?
3
Let k = -2 - -5. Calculate the remainder when (-22)/(-7) + 13/(-91) is divided by k.
0
Let o(i) = 31*i**2 - 2*i + 1. Let k be o(1). Suppose 0 = 4*b - 98 + k. What is the remainder when 32 is divided by b?
15
Let d be (4 - (-9)/(-3))*-1. Calculate the remainder when 36 is divided by 13 + (1 - 0) + d.
10
Let b(q) = 5*q**2 + 1. Let o be b(-1). Let c = o + -7. Let i(k) = 10*k**2. Calculate the remainder when 28 is divided by i(c).
8
Let f(u) = -u**2 + 10*u + 8. What is the remainder when 86 is divided by f(7)?
28
Let f be 1/2 + (-264)/16. Calculate the remainder when 7 is divided by 32/(f/(-4)) + -3.
2
Let t = -17 + 9. Let r(j) = -2*j - 7. Let n be r(t). Suppose 2*i - n = 1. Calculate the remainder when 12 is divided by i.
2
Suppose 4*v - 3*v = -4*q - 93, -q = 2*v + 193. Calculate the remainder when v/(-9) + (-2)/(-9) is divided by 5.
1
Let q(z) = -z**2 + 7*z + 2. What is the remainder when 57 is divided by q(5)?
9
Suppose 0 = -3*o + 6, -2*s + 200 = s + 4*o. Suppose 0*w = -5*w + 255. Suppose 5*k - 59 - w = 0. Calculate the remainder when s is divided by k.
20
Let c be (-1 - 0)*(1 + -4). Calculate the remainder when 93 is divided by 3/c + (-2 - -33).
29
Suppose 0 = 5*t - 5 + 15, 0 = 5*n - 4*t - 18. Suppose n*g + 2*g = 12, -3*u + 75 = -5*g. What is the remainder when u is divided by 16?
14
Calculate the remainder when (-4)/14 + 634/14 is divided by 23.
22
Suppose 8*z + 2*z = 60. Calculate the remainder when (-1)/(-1 + 48/51) is divided by z.
5
Let m(c) = 5*c. Calculate the remainder when m(1) is divided by 4.
1
Let c(w) = -w - 8. Let l be c(-5). Let h = -11 + l. Calculate the remainder when h/(-63) + (-250)/(-9) is divided by 10.
8
Suppose -6*o + 59 = 5. Calculate the remainder when 61 is divided by o.
7
Let g(p) = 5*p**2 + 2*p - 2. What is the remainder when 38 is divided by g(-2)?
10
Let a = 37 - 19. Let f(r) = 3*r + 4. What is the remainder when f(10) is divided by a?
16
Suppose s - 4*s = -66. Let i(f) = 12*f + 3. Let q be i(3). Suppose -35 = -5*v + 4*m + 9, m = -5*v + q. Calculate the remainder when s is divided by v.
6
Suppose 5*n - 12 - 8 = -g, -3*g + 71 = 4*n. What is the remainder when g is divided by 9?
7
Let u(b) = -4*b + 7. Suppose k + 6 = 3*y - 5, -5 = -k - 5*y. What is the remainder when u(k) is divided by 10?
7
Let a(t) = -t**2 + 12*t - 5. What is the remainder when 18 is divided by a(11)?
0
Suppose 15*v - 6*v = 162. Calculate the remainder when 70 is divided by v.
16
Let d = -2 - -12. Let j = d + 0. Suppose n - 7 = 12. What is the remainder when n is divided by j?
9
Let d(z) = -z**3 + z**2 + 1. Let w be d(-4). Suppose 2*r - 5*k - 41 = -4, 5*r - k = w. Calculate the remainder when 47 is divided by r.
15
Let v(y) = -y - 2. Let b(f) be the third derivative of f**5/60 - 7*f**4/24 + 7*f**3/6 - f**2. What is the remainder when v(-4) is divided by b(6)?
0
Let n(j) = j - 1. Let x be n(4). Let s be x/(-9) + (-13)/(-3). What is the remainder when 17 is divided by s*((-18)/4)/(-3)?
5
Let b(c) = -c**3 + 6*c**2 - 6*c + 3. Let t be b(5). Let w(f) = 2*f**2 + 4*f + 2. What is the remainder when 4 is divided by w(t)?
0
Suppose 4*o - 123 = 69. What is the remainder when 186 is divided by o?
42
Let q = 89 - 59. What is the remainder when 89 is divided by q?
29
Let g(x) = -3*x**2 - 17*x + 5. What is the remainder when 86 is divided by g(-4)?
11
Suppose -3*o + 2*j + 14 = j, 0 = 4*j - 4. Calculate the remainder when 13 is divided by o.
3
Let g(x) = x**2 + x - 6. What is the remainder when g(8) is divided by 17?
15
Let u = 11 + -7. Suppose -k - 15 = u*k. Calculate the remainder when 25 is divided by (k - (-45)/6)*2.
7
Let y = 14 - 8. Suppose -38 = -h - 10. What is the remainder when h is divided by y?
4
Suppose 0 = -t + 2, 0 = a - 2*t - 0 - 1. Suppose 0 = w + 4*k - 16, 15 = 4*w + 2*k - 7. Let l = w - 1. Calculate the remainder when a is divided by l.
2
Let o(x) = x**2 + 4*x - 3. Let g be o(-5). Suppose -3*a - g*a = -95. What is the remainder when 36 is divided by a?
17
Let k(j) be the third derivative of -j**4/12 + j**3/6 + 4*j**2. Calculate the remainder when 14 is divided by k(-2).
4
Suppose 0 = 2*q - 23 - 29. Let d = q + -16. What is the remainder when 19 is divided by d?
9
Let i = -16 + 33. What is the remainder when i + 5/(5/(-2)) is divided by 6?
3
Let c(s) = -s**2 - 8*s - 4. Let p be c(-7). Let n be -10*(1 - (-8)/(-5)). Let b = n + p. What is the remainder when 25 is divided by b?
7
Let t(f) = -f**3 - 4*f**2 - 2*f - 3. Calculate the remainder when 7 is divided by t(-4).
2
Let q = 70 + -46. Calculate the remainder when 95 is divided by q.
23
Suppose g - 2*m + 4 = -4, 4*g - 5*m + 17 = 0. Suppose 2*o + 3*o - 5 = -c, 0 = 2*o - g*c - 14. Let p = -3 + 8. What is the remainder when p is divided by o?
1
Let r(i) be the third derivative of i**5/60 + i**4/24 + 2*i**3/3 - 4*i**2. Calculate the remainder when 30 is divided by r(-4).
14
Let s(q) = -q + 8. Suppose 3*y - 157 = -x - 4*x, -159 = -3*y - 3*x. Calculate the remainder when y is divided by s(-6).
12
Let w be 6/(5/(10/4)). Let n be -27 - ((-2 - -1) + w). Let g = n - -66. What is the remainder when g is divided by 13?
11
Suppose -8*t + 3*t = 2*n - 176, 2*t = 3*n + 59. Suppose 2*l - 3*l + 3*o - 18 = 0, 0 = o - 2. Let d = l + 21. What is the remainder when t is divided by d?
7
Let w(p) = -2*p + 2. What is the remainder when (-12)/1*(-25)/20 is divided by w(-3)?
7
Let r(k) = -6*k**3 - 2*k**2 - 3*k + 8. Let q(z) = 5*z**3 + 3*z**2 + 3*z - 8. Let v(b) = 5*q(b) + 4*r(b). What is the remainder when 18 is divided by v(-6)?
8
Suppose -6 = -4*k + 10. Suppose -4*y + k*x + 121 = -y, -4*y = -4*x - 168. Let b(c) = 2*c**3. Calculate the remainder when y is divided by b(2).
15
Let y(f) = -f**3 - 5*f**2 - f - 7. Calculate the remainder when y(-6) is divided by 12.
11
Suppose 6*s = s + 20, -17 = -q - 3*s. Suppose -5*z + 222 = j, j = q*z - 268 + 50. Calculate the remainder when z is divided by 15.
14
Let r = 0 - -1. Suppose 2*g = 15 - r. Let b = 23 + -3. Calculate the remainder when b is divided by g.
6
Let t(s) = 5*s**2 - 3*s + 4. Calculate the remainder when t(3) is divided by 14.
12
Let v = -3 - -5. Suppose v*b + 4 = -k + 35, -3*k + 5*b = -71. Calculate the remainder when k is divided by 10.
7
Suppose 0*l - 2*l - 10 = 0. Let i = l + 85. Suppose -4*z - z = -i. What is the remainder when 46 is divided by z?
14
Let m(k) = 3*k**2 - k. Let p = 1 - 0. Let y be m(p). Suppose -y*a + 0*