se 0 = 15*f - 27*f + 216. Calculate the remainder when 45 is divided by f.
9
Let i(m) = 37*m + 5. Let g be i(3). Suppose 5*x = 3*x + g. Calculate the remainder when x is divided by 12.
10
Let v be (-422)/(-4) + 1/2. Suppose -5*y - 6 + v = 0. Calculate the remainder when 59 is divided by y.
19
Let h(z) = -z - 6 + 9 + 10. Suppose y - 5 = -0*y. What is the remainder when h(0) is divided by y?
3
Let u = -67 + 112. Suppose -u = 2*a - 7*a. Calculate the remainder when 34 is divided by a.
7
Let m = 6 + -8. Let a = m + 2. Suppose -3*f + 146 = f + 3*h, a = h - 2. Calculate the remainder when f is divided by 12.
11
Let w = -42 - -96. Suppose -r = -5*d - 3*r + w, -d + r = -15. Calculate the remainder when d is divided by 5.
2
Suppose 28 = -0*k + 3*k + 2*v, -15 = -3*v. Calculate the remainder when (8/5)/(19/95) is divided by 14/6 - (-4)/k.
2
Calculate the remainder when 12/(-8)*2 + 196 is divided by 14.
11
Let c(n) = 2*n. Calculate the remainder when 59 is divided by c(6).
11
Suppose -4*k = -470 + 154. Suppose -2*j - 5 = -k. Calculate the remainder when j is divided by 13.
11
Let m(k) = -k - 4. Let s be (6/5)/(3/(-15)). Let i be m(s). Let d(t) = 13*t**2 - 4*t + 3. What is the remainder when d(i) is divided by 16?
15
Suppose 8*g - 3*g = 190. Let o = -21 + g. Let c = -21 + 70. Calculate the remainder when c is divided by o.
15
Suppose 2*c - 3*u + 0 = -2, -u + 6 = -2*c. Let x = c - -18. What is the remainder when 4/x - (-340)/35 is divided by 6?
4
Let r = 5 - 10. Let h(p) be the second derivative of -p**3/6 - p. Calculate the remainder when h(r) is divided by 3.
2
Suppose 0 = -x - 3*l + 5 + 24, -4*x + 90 = -l. What is the remainder when x is divided by 6?
5
Let k(p) be the second derivative of p**3/3 + p. Let z be k(7). Let a = 26 - z. Calculate the remainder when a is divided by 5.
2
Suppose 5*l - 202 = i - 53, 3*i - 33 = -l. Suppose 0*r = -r + 16. What is the remainder when l is divided by r?
14
Let t(d) = 4*d**2 - 6*d + 1. What is the remainder when 72 is divided by t(3)?
15
Suppose w + w = 0. Suppose w = 3*p - 0*p. Suppose -c - 4*c + 55 = p. Calculate the remainder when 31 is divided by c.
9
Suppose -3*d + 24 = 2*j, 4*j - d - 39 + 5 = 0. Let r be (-6)/21 + (-4)/(-14). Suppose r = -0*k + 2*k - 12. Calculate the remainder when j is divided by k.
3
Let c(b) = b**2 - 5*b + 2. Let h(k) = 2*k - 6. Calculate the remainder when h(5) is divided by c(5).
0
Let u(l) = 2*l**2 - 9*l + 16. Calculate the remainder when 31 is divided by u(4).
7
Suppose 4*d + z - 87 = -0*z, -3*z = 3. Let n = 148 + -84. What is the remainder when n is divided by d?
20
Suppose 69 = 11*g - 52. Let t = 0 - 0. Suppose t*q = -q + 32. What is the remainder when q is divided by g?
10
What is the remainder when (14/(-6))/(5/(-15)) is divided by 5?
2
Let g be (-8)/(-3) + (-10)/15. Let o be 2 + 2*-1 - g. Calculate the remainder when 14 is divided by 10*((-3)/o - 1).
4
Let q(s) = s**2 + s**2 - s**2 - s - 15. Let h be q(0). What is the remainder when 59 is divided by (-290)/h + 2/3?
19
Suppose -3*z + 11 = 2*a, 5*z = -4*a + 16 + 5. Calculate the remainder when 12 - z - (-3 + 3) is divided by (-1)/(-4) + 23/4.
5
Let i = 61 + -12. What is the remainder when 35 is divided by i/4 + 2/(-8)?
11
Suppose -18 - 22 = -2*c. Suppose 0 = -0*r - 4*r + c. Let t(a) = a - 4. Calculate the remainder when r is divided by t(6).
1
Suppose r = -4*r + 5. Suppose -12 = f + 3*u, -2*f + u - 1 = -5. Suppose 3*w - 2*w - 1 = f. Calculate the remainder when w is divided by r.
0
Suppose 0 = -0*a + 4*a + 36. Let j(h) = h**2 + 6*h - 10. What is the remainder when 50 is divided by j(a)?
16
Suppose 0 = q - 5*q - 20, 5*a - 125 = -3*q. Suppose -a = 3*l - 4*l. What is the remainder when l is divided by 10?
8
Let s(f) = f**2 - 8*f + 11. Let d be s(8). Let b = d - 5. What is the remainder when 9 is divided by b?
3
Let c(q) = 3*q - 1. Suppose -2*i = -2 - 4. Let g(r) = 24*r**2 - 1. Calculate the remainder when g(-1) is divided by c(i).
7
Suppose -26 = -3*c - 2. Let p be -4*2/(-4) + c. What is the remainder when 410/18 - p/(-45) is divided by 8?
7
Let v(b) = 5*b - 8. Suppose -7 = 3*q - 31. Calculate the remainder when v(q) is divided by 11.
10
Suppose -k + 2*k - 11 = 0. Let s(o) = o**3 - 12*o**2 + 12*o - 7. Calculate the remainder when s(k) is divided by 3.
1
Let f be 12/15*50/(-4). Let h(c) = -c**3 - 9*c**2 + 9*c. Let v = 8 + 10. Calculate the remainder when v is divided by h(f).
8
Calculate the remainder when (-300)/(-9)*12/10 is divided by 11.
7
Let w(n) = 2*n**2 + 13*n + 9. Let y(z) = 2*z - 2. Let a be y(-3). Calculate the remainder when w(a) is divided by 12.
9
Let h(y) = y**2 + 4*y - 2. Let f be h(-5). Suppose f*p + 27 = -3*a, 5*p = -2*a + 4*a - 59. Let k = p - -16. What is the remainder when 8 is divided by k?
3
Suppose -5*w = 107 - 532. Let y = 109 + -153. Let r = w + y. Calculate the remainder when r is divided by 14.
13
What is the remainder when (-7)/21 + 268/3 is divided by 15?
14
Let v = 41 + -27. What is the remainder when 41 is divided by v?
13
Suppose 2*d + 2*c + 5 = 3*d, 4*d + 4*c = 8. Calculate the remainder when 6 is divided by d.
0
Suppose -10*o + g + 5 = -9*o, -5*o = 5*g - 45. What is the remainder when 40 is divided by o?
5
Let a(b) = -4*b - 6. Let t(s) = s**3 + 4*s**2 - 9*s - 8. Let c be t(-5). Let d(y) = y**2 - 11*y + 6. What is the remainder when d(c) is divided by a(-4)?
8
Let p(i) = 2*i**3 - 4*i + 1. Let a be p(3). Let b = a - 18. What is the remainder when 99 is divided by b?
24
Let v(p) = -2 - 1 + 9*p**2 + 4 + 3*p. Calculate the remainder when v(-3) is divided by 19.
16
Let j(z) = -77*z + 8. Calculate the remainder when j(-1) is divided by 31.
23
Let v = -5 + 6. Let g = v + -4. Calculate the remainder when 123/(-9)*(g - 0) is divided by 14.
13
Suppose -c = 3*c + 52. Suppose 0 = 2*s - 51 + 3. Let z = s + c. Calculate the remainder when 21 is divided by z.
10
Let y = -109 - -117. Calculate the remainder when 36 is divided by y.
4
Suppose 0 = 2*g - l - 53, 8*l = 3*g + 6*l - 80. What is the remainder when 43 is divided by g?
17
Let b = 0 - -1. Suppose -x - b = -3. Calculate the remainder when 7 is divided by x.
1
Let s be 3/2 + (-3)/(-6). Suppose -2*z + 12 = -4*o, -1 = 5*z + o + s. Suppose 0 = 2*v - z*v - 34. What is the remainder when 32 is divided by v?
15
Calculate the remainder when 24 is divided by 11 - (-3)/(3/2).
11
Let b = -11 - -28. Let z = b - 7. Calculate the remainder when z is divided by 4.
2
Let z(t) = -5*t**3 - 3*t**2 - 3*t - 3. Let x be z(-2). Suppose 5*k = x + 54. What is the remainder when k is divided by (14/(-42))/(1/(-18))?
5
Let z(x) = x - 8. Let c be z(12). Suppose -2*r + c*k = -86, -14 = 3*r + 4*k - 93. Calculate the remainder when r is divided by 18.
15
Let m = -2320 + 3280. Suppose m = -q + 4*q. Suppose q = 5*y + d, 0 = 4*y - 0*y - 2*d - 270. What is the remainder when y is divided by 22?
21
Let t(r) = -r**3 + 7*r + 0*r**2 + 0*r + 4*r**2. Let m be t(5). Let p = m - 0. Calculate the remainder when p is divided by 4.
2
Suppose g = -0*g + 3. Calculate the remainder when 11 is divided by g.
2
Let i = -61 + 86. What is the remainder when i is divided by 14?
11
Let s = 0 + 2. Let i(t) = 2 - t + s - 3. Calculate the remainder when 20 is divided by i(-6).
6
Let x be (-2)/4*0 - 0. Suppose -5*z = 2*i - 99, x = 4*i - 5*z - 41 - 202. What is the remainder when i is divided by 30?
27
Suppose -45 = -4*r - 3*d, 4*r - 5*d - 32 - 21 = 0. What is the remainder when r is divided by 5?
2
Let u(f) = -f**3 - 4*f**2 + 6*f + 7. What is the remainder when u(-6) is divided by 15?
13
Let n(q) = -q - 12. Let k be n(0). Let i = k + 30. Calculate the remainder when 69 is divided by i.
15
Suppose -4*p = 6 - 26. What is the remainder when 29 is divided by p?
4
Suppose 0 = -5*r + 19 + 6. Calculate the remainder when 7 is divided by r.
2
Suppose 2*c - 3 = 2*g + g, c - 7 = -4*g. Suppose 4*u + 2 = 6. What is the remainder when u is divided by g?
0
Let u(b) = b**3 + 3*b**2 + 4. What is the remainder when 11 is divided by u(-3)?
3
Suppose -2*t = 3*c - 52, -3*t + 0*c + 2*c + 104 = 0. Suppose -5*n + 29 + t = 3*i, 2*n - 58 = -4*i. What is the remainder when 34 is divided by i?
10
Let b(k) = k + 13. Let f(o) = 7*o**3 + o**2. Let z be f(-1). Calculate the remainder when (1*-5)/(3/z) is divided by b(-9).
2
Suppose -4*z + z + 231 = 