he remainder when 20 is divided by 35/3 - (-14)/m?
9
Let b(k) = -8*k + 3. Let w = -31 - -23. Let l = w + 20. Calculate the remainder when b(-4) is divided by l.
11
Suppose 0*f + 2*f - 42 = -2*q, -2*f + 33 = -q. What is the remainder when f is divided by 5?
3
Let j(s) = -5*s. Let o be 50/6 + (-6)/(-9). Let z(q) = -10*q. Let c(t) = o*j(t) - 4*z(t). What is the remainder when 28 is divided by c(-2)?
8
Let r = 254 + -150. Suppose 5*t = t + r. Let y(g) = -8*g - 2. What is the remainder when t is divided by y(-2)?
12
Suppose -30 + 3 = -o. Let w be (2/1)/(2/(-8)). What is the remainder when o is divided by w/28 + 144/14?
7
Suppose -4*r + 2*b = -b - 175, -r - 4*b = -58. What is the remainder when r is divided by 16?
14
Let h = 170 + -100. Let m = h + -50. What is the remainder when 38 is divided by m?
18
Let y = 2 - 0. Suppose y*s - 69 = 2*a - 241, 3*a = -5*s + 250. Calculate the remainder when a is divided by 22.
19
Suppose u + 2*b = 5*b + 21, 5*u + 2*b - 20 = 0. What is the remainder when u is divided by 5?
1
Let f = 13 - -9. Calculate the remainder when 31 is divided by f - (5 + -2) - 2.
14
Suppose -5*l + k = -18, 5*k = k + 8. Suppose l*c - 5 - 27 = 0. Calculate the remainder when 28*(18/4 + -4) is divided by c.
6
Let s(z) be the second derivative of 11*z**4/6 - z**3/2 + z**2 + 10*z. What is the remainder when s(1) is divided by 6?
3
Let p(j) = -28*j**2 + 13*j + 11. Let n(k) = -14*k**2 + 7*k + 6. Let w(u) = 11*n(u) - 6*p(u). What is the remainder when w(1) is divided by 8?
5
Let v = 80 - 69. Calculate the remainder when 25 is divided by v.
3
Suppose 0 = 4*s + 3*s - 56. Calculate the remainder when 70 is divided by s.
6
Let f = -18 - -25. Suppose 3*c + z = 40, -2*z - 24 = -4*c + 2*c. Let i = c + 6. Calculate the remainder when i is divided by f.
5
Let u(a) be the second derivative of a**4/12 + a**3 - 3*a**2 - 9*a. Let r = 2 + 16. What is the remainder when r is divided by u(-8)?
8
Suppose -61 + 25 = -4*h. What is the remainder when 88 is divided by h?
7
Let s be -3 + 0 - 1*-8. Suppose 0 = -s*y + 56 + 99. What is the remainder when y is divided by 11?
9
Let r be (-34)/(-6) + 2/(-3). Suppose 0 = n - r*o - 41, 3*n - n - 55 = o. Calculate the remainder when n is divided by 7.
5
Let g be -3*4/(-3) + 1. Let q = 0 + g. Suppose -x - 12 = -q*x. What is the remainder when 5 is divided by x?
2
Let l = -1 + 6. Let h = 10 - l. Let f(o) = -o**3 + 4*o**2 + 6*o - 3. Calculate the remainder when 2 is divided by f(h).
0
Let x be 1/(-2) - 105/2. Let r = 14 - x. What is the remainder when r is divided by 17?
16
Let u = -39 - -61. Let k = -11 + u. What is the remainder when 21 is divided by k?
10
Let f(k) = -16*k**3 - k. Let j be f(-1). Suppose -s - 19 = -5*l, -3*l - 2*s = 3*s - j. Calculate the remainder when 10 is divided by l.
2
Let v(n) = n**3 + 5*n**2 + 3*n - 3. Let d be v(-3). Let y(h) = -2*h + 4*h + 6*h**2 - h**3 + 7 - h. What is the remainder when y(d) is divided by 5?
3
Let f = -56 - -144. What is the remainder when f is divided by 23?
19
Let k = 10 - 7. Suppose 0 = -k*h + 3. Calculate the remainder when h is divided by 1.
0
Suppose -3 = 2*y - 5*l, -6*y = -3*y + 2*l - 24. Let q(c) = c - 6. Let g be ((-3)/(-2))/(1/6). What is the remainder when y is divided by q(g)?
0
Let i(c) = -c - 1. Let m(o) = o**2 - 6*o + 1. Let t(s) = -4*i(s) + m(s). Let k = 10 - 6. Calculate the remainder when t(4) is divided by k.
1
Let j(l) be the third derivative of l**6/120 + l**5/10 + l**4/8 - 5*l**3/6 - l**2. Calculate the remainder when j(-5) is divided by 3.
2
Let x = -16 + 70. Let u = 7 - 5. Suppose -x = -u*y + 10. Calculate the remainder when y is divided by 11.
10
Suppose 0 = z - 5*a + 4*a + 5, -4*a = 3*z + 36. What is the remainder when 314/6 + z/(-12) is divided by 18?
17
Suppose 2*m = -3*p + 64, 5*m - p - 88 = 72. Suppose 2*l + 3*a - 47 = -2*l, 5*l + 3*a = 61. What is the remainder when m is divided by (-351)/(-21) + 4/l?
15
Suppose 3*t = -q + 6*q - 875, 0 = -t - 5. Let b = q + -103. Calculate the remainder when b is divided by 18.
15
Suppose 28 = 3*g - 29. Suppose 0 = -3*o + 5 - 2, 0 = 3*p + 2*o - 170. Calculate the remainder when p is divided by g.
18
Let g be 56/5 + 2/(-10). Let v(o) = 0*o + o + 0*o. Calculate the remainder when 21 is divided by v(g).
10
Let d = 13 + -13. Suppose d = 2*w + 3*w - 35. Calculate the remainder when w is divided by 5.
2
Let w = -33 + 85. Calculate the remainder when w is divided by 18.
16
Suppose -3*m = -j - 17, -4*j = -3*m - j + 27. Suppose 0 = m*t - 0*t - 16. Suppose -d + t = -2. Calculate the remainder when d is divided by 4.
2
Suppose -v - 59 = -62. What is the remainder when 29 is divided by v?
2
Suppose -22 = -3*o + u, -o - 3 = -3*o + 3*u. What is the remainder when (-291)/(-12) - (-3)/(-12) is divided by o?
6
Suppose 3*m = -15 - 0. Let n(p) = -2*p - 2. What is the remainder when (2 - 0) + 42/2 is divided by n(m)?
7
Let k = 9 + -11. Let p(r) = -6*r**3 + 3*r**2 + 2*r - 2. Calculate the remainder when p(k) is divided by 14.
12
Suppose -4*u + 2 = 6, -3*u = 2*s - 5. Let v = 313 + -209. Suppose s*t - v = -m - 23, 5*m = 25. Calculate the remainder when 36 is divided by t.
17
Suppose 2 = 2*d - 4. Suppose 0 = 5*r - d*z - 62, -3*z = z - 4. Calculate the remainder when 37 is divided by r.
11
Suppose -124 = x - 0*x. Let y = x - -206. Calculate the remainder when y is divided by 21.
19
Let x be (-4 + 2)/((-6)/237). Suppose x - 238 = -3*z. What is the remainder when z is divided by 14?
11
Let z be (-1521)/(-36) - 2/8. Suppose -q = 2*q - z. Let k = 73 + -32. What is the remainder when k is divided by q?
13
Let n(r) = 12*r - 16. Calculate the remainder when n(6) is divided by 12.
8
Let o(k) = -k**3 + 7*k**2 + 31*k. Let f = -17 - -55. What is the remainder when f is divided by o(10)?
8
Let c(v) = 2*v**3 - v**2 - 3*v + 2. Let l be c(2). Let z = -5 + l. Suppose -z*k + 48 = k. Calculate the remainder when 34 is divided by k.
10
Let u(f) = f**3 + 10*f**2 - 24*f + 17. Calculate the remainder when u(-12) is divided by 2/(1 - (-14)/(-18)).
8
Suppose -5*c = -56 - 44. Calculate the remainder when 58 is divided by c.
18
Suppose -11 = -3*l + 4. Let s = l + 2. Let a(w) = -7*w - 1. Calculate the remainder when a(-2) is divided by s.
6
Calculate the remainder when 1 - 1 - (-1593)/27 is divided by 21.
17
Suppose 4*s = -s - 25, s - 12 = -r. Calculate the remainder when 32 is divided by r.
15
Let t(s) = -s - 3. Let f be t(-5). Suppose 4*m - 16 = f*o + 42, 4*o = 4*m - 64. Calculate the remainder when 22 + (9/3 - 1) is divided by m.
11
Calculate the remainder when 1/(-4) - 61/(-4) is divided by 4.
3
Let v(a) = a**2 - 5*a - a + 12 - 3. Suppose 0 = 2*r + 3*u - 2, -3*u = -5*r - 6*u + 23. Calculate the remainder when 62 is divided by v(r).
14
Calculate the remainder when (850/(-20))/((-1)/2) is divided by 29.
27
Suppose 4*i = 2*v + 86, 3*v = 5*i - 4*i - 14. What is the remainder when i is divided by 7?
2
Let s = -70 + 181. Calculate the remainder when s is divided by 28.
27
Let m(u) = u**2 - 12*u + 44. What is the remainder when m(11) is divided by 13?
7
Let w = 25 - 57. Let g = 52 + w. What is the remainder when g is divided by 11?
9
Suppose 2*s + s - 12 = 0. Suppose u - 4 = 5*x - 3, -s*u - 3*x = -27. Suppose 3*g + u = 27. Calculate the remainder when 18 is divided by g.
4
Let c(j) = j**3 + 4*j**2 - 2*j - 7. Calculate the remainder when c(-3) is divided by 3.
2
Let u be 3/6 + 12/8. Suppose 5 = u*r - 3. Calculate the remainder when 6 is divided by r.
2
Let a = -14 - -38. Suppose 23 = 5*k - 22. What is the remainder when a is divided by k?
6
Suppose -30 = 2*z + 3*z. What is the remainder when 1/(-2)*(z - 14) is divided by 6?
4
Let y = 10 + -4. Let d = 16 - y. What is the remainder when d is divided by 6?
4
Suppose -f + 10 = 3*l, -f - 20 = -3*f - l. What is the remainder when 14 is divided by f?
4
Suppose 7*v = 3*v - 48. Let j = 3 - v. Let a = j - -16. Calculate the remainder when a is divided by 16.
15
Let o(s) = -s**3 + 8*s**2 - 8*s + 9. What is the remainder when o(5) is divided by 15?
14
Let x(l) = -6 + l - 5*l + 3*l. Let i be x(-9). Suppose 16 = f + i*u - 14, f + 5*u - 32 = 0. Calculate the remainder when f is divided by 14.
13
Let n = 5 + 0. Suppose a = 4*o + 61, 3*a - n*o - 179 = -31. Calculate the remainder when a is divided by 14.
13
Suppose -3*y + 5 = 2*u - 12, 1