y be l(3). Suppose -8 = -d - y. Let q = 27 - 7. Calculate the remainder when q is divided by d.
6
Suppose p + 37 = 131. Calculate the remainder when p is divided by 48.
46
Suppose 4*t + 3*z + 0*z + 10 = 0, t - 5*z = -14. Let y(s) = -3*s**2 - 2*s + 4*s**2 + s - 5. What is the remainder when y(t) is divided by 8?
7
Let p(d) = d**2 + 9*d + 15. What is the remainder when 48 is divided by p(-10)?
23
What is the remainder when 85 is divided by 3 + 15 - (1 - 5)?
19
Let f(j) = j**3 + 7*j**2 - 5*j - 9. Let u be f(-7). Let x = 32 + u. Calculate the remainder when x is divided by 15.
13
Let f = -5 + 6. Let w(b) = 17*b**3 - b**2 + 2*b - 1. What is the remainder when w(f) is divided by 5?
2
Let x be (-1 - 13)*(1 + -8). Let p = x - 31. Let w = 101 - p. Calculate the remainder when w is divided by 12.
10
Suppose 2*w = 6*w - 2*j, 12 = -4*w + 5*j. Suppose -w*s + 6 = s. What is the remainder when s is divided by (3/2)/((-3)/(-2))?
0
Suppose -5*h + 265 = 5*s - 0*s, h - 265 = -5*s. Suppose d = 2*d - s. What is the remainder when d is divided by 9?
8
Let b(a) be the first derivative of 3*a**2 - a + 5. What is the remainder when b(2) is divided by 4?
3
Suppose 6*y - 183 = 3*y. Calculate the remainder when 4/(-12) - y/(-3) is divided by 11.
9
Suppose 0 = -8*u + 7*u + 90. What is the remainder when u is divided by 31?
28
Let q(f) = 3*f - 8. Let i(p) = 2*p**3 - 2*p**2 - 1. Let g be i(2). What is the remainder when 25/(-1 + 4/2) is divided by q(g)?
12
Suppose -2*z - 4*x + 13 = 1, -42 = -5*z + 2*x. Suppose 2*o - z - 18 = 0. Calculate the remainder when 50 is divided by o.
11
Suppose 3*n + 8 - 2 = 0. Let m = -2 - n. Let l(c) = c**2 + c + 46. Calculate the remainder when l(m) is divided by 24.
22
Suppose -40 = -3*g - g. Calculate the remainder when 38 is divided by g.
8
Let d(u) = -u + 4. Let r be d(0). Suppose 0 + 36 = r*k. Calculate the remainder when 34*(15/6)/5 is divided by k.
8
Suppose -2*h - 7 = -29. What is the remainder when 30 is divided by h?
8
Suppose 276 = 6*a + 60. What is the remainder when 67 is divided by a?
31
Let n(d) = -3*d + 6. What is the remainder when n(-13) is divided by 16?
13
Suppose 2*l + 4 = 10. Suppose 70 = l*z + 2*z. Calculate the remainder when z is divided by 3*2 + (1 - -1).
6
Suppose 0 = n + 4*n - 55. Calculate the remainder when (62/(-6))/(1/(-3)) is divided by n.
9
Calculate the remainder when 12 is divided by (6/9)/(3/18).
0
Let q = -55 - -83. Let u = -16 + 31. Calculate the remainder when q is divided by u.
13
Suppose -5*j + 4*g = -20 - 75, -2*j = -4*g - 38. Suppose -5*z + 70 = 4*u, -5*z + 25 + 30 = u. What is the remainder when j is divided by z?
9
Suppose -3*n = -3*p - 2*p - 25, 4*n = 3*p + 26. Let x be (p - -3)*(-22)/(-2). Suppose 4*f - 5 = x. What is the remainder when f is divided by 3?
1
Let l be ((-36)/10)/((-4)/10). Let u = l - 4. Let p(n) = -2*n - 1. Calculate the remainder when u is divided by p(-2).
2
Suppose -4*n = -21 - 47. What is the remainder when 47 is divided by n?
13
Suppose 7*n + 3*n - 860 = 0. Calculate the remainder when n is divided by 22.
20
Let y be 0 + (-18)/((-6)/3). Suppose -4*a + 7 = -i, -5*i = a + y - 58. What is the remainder when i is divided by 3?
0
Suppose 11 = -5*v - 29. What is the remainder when 15 is divided by ((-3 - v) + -1)/1?
3
Let v = -13 + 35. Suppose y - 1 + 3 = -p, -4*y - 10 = 5*p. Suppose -k + 4*l + y + 4 = 0, -4*k - 3*l + 35 = 0. Calculate the remainder when v is divided by k.
6
Calculate the remainder when (-2)/5*(-9 + -11) is divided by 3.
2
Let w(s) be the third derivative of -s**6/120 - s**5/12 - s**4/24 - s**3/6 + 5*s**2. What is the remainder when w(-5) is divided by 0 + (4 - (1 + 1))?
0
Let y(j) = -3*j + 1 - j**3 + 6*j + 4*j**2 - 4. What is the remainder when y(3) is divided by 9?
6
Suppose -135 = -5*r - 0*r. What is the remainder when r is divided by 2/(-8) + (261/(-12))/(-3)?
6
Suppose 0 = -h + 4*h + 2*u + 15, 0 = 2*u + 6. Let i = h + 7. Suppose -c = 3*v - 132, 3*c - 81 = 2*v - i*v. What is the remainder when v is divided by 16?
13
Let h(f) = 4 - 2*f**2 - 5*f + 5*f**2 - 2*f**2. Suppose 3*w - 30 = 2*g + 3*g, 2*g = 3*w - 21. What is the remainder when h(w) is divided by 3?
1
Let z(l) = 4*l**3 - 15*l**2 + 17. Let r(s) = -s**3 + s**2 - s - 1. Let o(m) = -5*r(m) - z(m). Calculate the remainder when o(-9) is divided by 13.
11
Let t = -1 + -8. Let o(i) = i**2 + 8*i - 7. Let p be o(t). What is the remainder when 25 is divided by p/4 + (-100)/(-8)?
12
Let s(a) = 13*a + 4*a + 3 - 11*a. Let i be s(3). What is the remainder when (7/i)/((-2)/(-12)) is divided by 1?
0
Let z = 7 - 4. Suppose 0*n = z*n - 78. What is the remainder when n is divided by 9?
8
Suppose 2*s = 4*s - 6. Calculate the remainder when 6 is divided by s.
0
What is the remainder when 9 is divided by (3/(-2))/((-12)/32)?
1
Suppose -y - 2*y = -4*c + 661, 2*y = 5*c - 821. Suppose -105 = -3*t + 5*d + 21, -4*t + c = -5*d. What is the remainder when t is divided by 10?
7
Let s(x) be the first derivative of x**4/4 - 4*x**3/3 - 3*x**2/2 - 7*x + 1. Let t be s(5). Calculate the remainder when 11 is divided by t - (-2)/(2/1).
3
Let g(b) = 3*b**2 + 2*b + 5. Let d be g(-4). Suppose 2*f + 23 = -2*n + 67, -2*f - n = -d. Let j = 26 - 14. Calculate the remainder when f is divided by j.
11
Let s = -325 - -455. Calculate the remainder when s is divided by 19.
16
Let x(g) = -3*g - 42. What is the remainder when 57 is divided by x(-18)?
9
Let c = -8 - -29. What is the remainder when c is divided by 12?
9
Let o = 5 - 0. Let t(j) be the third derivative of -j**5/60 + j**4/4 + j**3/2 + 7*j**2. What is the remainder when 23 is divided by t(o)?
7
Let r = -4 - -6. Let z be -3 + 0 - -1*r. Let f = z + 32. What is the remainder when f is divided by 16?
15
Suppose 0 = -3*x + 4*x - 74. Calculate the remainder when x is divided by 20.
14
Suppose -4*o - 180 = -9*o. Let n = o - 22. Calculate the remainder when n is divided by 5.
4
Let u(y) = -3*y**3 + 2*y**2 + y - 6. Let h be u(-3). Suppose 0 = -2*z - 4, -3*s = -7*s + 5*z + h. Calculate the remainder when 77 is divided by s.
17
Suppose 5*h = 1 + 9. Let f = 7 + h. Let j(s) = 2*s**2 - 2*s + 2. Calculate the remainder when j(4) is divided by f.
8
Let y(r) = -r**3 + 5*r**2 - 5*r + 6. Let v be y(4). Let a be 0/3 + (-15)/(-5). Suppose -5*k = -a - v. Calculate the remainder when 2 is divided by k.
0
Let v be (3 - 0)*4/6. Suppose v*z - 93 = -z. What is the remainder when z is divided by 11?
9
Let u(b) = -1 - 3*b - 2*b + 2*b. Let p be u(-1). Let h = 4 + p. Calculate the remainder when h is divided by 3.
0
What is the remainder when 21 is divided by (-150)/(-14) + (-10)/(-35)?
10
Let n(s) = -s**3 + 5*s**2 + 2. Let z be n(5). Suppose 0 = v - 2*q - 13, -z*q = -1 - 3. Calculate the remainder when 32 is divided by v.
15
Let s(h) = h**2 + 4*h - 4. Let i be s(-3). Let g = -3 - i. What is the remainder when 6 is divided by g?
2
Let i(p) = 2*p**2 + 12*p - 11. Let f(w) = -w**2 - 11*w + 11. Let q(r) = 4*f(r) + 3*i(r). Calculate the remainder when q(8) is divided by 11.
9
Suppose -5*h + 4*q = -225, 3*h + 3*q - 61 - 101 = 0. Calculate the remainder when h is divided by 17.
15
Suppose -4*b = -6*p + 2*p - 628, -2*p + 322 = 2*b. What is the remainder when b is divided by 41?
36
Let t be (14/(-6))/((-2)/(-12)). Let w = t - -28. What is the remainder when 55 is divided by w?
13
Suppose -t - 2*t = -39. What is the remainder when 75/(-9)*1*-3 is divided by t?
12
Let f(p) = p**3 + 14*p**2 + p + 5. Let l be f(-14). Calculate the remainder when 6 is divided by (-3 + 1)/(6/l).
0
Let l(u) = -10*u**3 - 3*u**2 - 2*u - 2. Let q = -24 - -42. What is the remainder when l(-2) is divided by q?
16
Let p = 185 - 111. What is the remainder when p is divided by 21?
11
What is the remainder when 77*(14/12 + 3/(-18)) is divided by 40?
37
Let l(u) = u**3 - 7*u**2 + 2. Let s be l(7). Suppose -3*b - 3*f = -4*f - 139, -3*b + s*f = -137. What is the remainder when b is divided by 16?
15
Let w = 112 - 86. What is the remainder when 45 is divided by w?
19
Let u = 235 - 207. What is the remainder when 108 is divided by u?
24
Let a be ((-19)/2)/((-1)/2). Suppose -5 - a = -3*n. Suppose -3*p = -0*p - 15. Calculate the remainder when n is divided by p.
3
Let b = -33 - -75. Calculate the remainder when b is divided by 12.
6
Suppose -8 = -3*d + 1. Let b = 17 + -9.