4.
3
Let t = 34 - 25. What is the remainder when 26 is divided by t?
8
Suppose 3*c - 5*o = 39, 5*o = 2*c - 4*c + 51. Calculate the remainder when 50 is divided by c.
14
Let l(x) = -x**2 - 4*x + 57. What is the remainder when l(0) is divided by 20?
17
Let z = 8 - 5. Suppose -2*f = -4, 5*f = s + z*f. Let r = -8 - -18. What is the remainder when r is divided by s?
2
Let w = 11 + 36. What is the remainder when w is divided by 17?
13
Let w(o) = -o**2 + 16. Let g be w(0). Suppose -g = 6*a - 4*a. Calculate the remainder when (a/(-10))/(2/60) is divided by 13.
11
Let i(p) = p**3 - 14*p**2 + 14*p - 10. Calculate the remainder when 1*(-2 - -1) - -4 is divided by i(13).
0
Suppose -102 = -2*i - 2*y, 0*i = i - 5*y - 21. What is the remainder when i is divided by 2 - (-1*9 - 1)?
10
Let r(y) = y**3 - 2*y**2 + 6. What is the remainder when 29 is divided by r(0)?
5
Suppose 4*u - 278 = 4*f - 34, -4*u - 2*f = -220. What is the remainder when u is divided by 20?
17
Let k = 5 + -5. Suppose -c = k, -2*o - 4*c = c - 4. Let m = 6 - 4. What is the remainder when m is divided by o?
0
Let r = -16 + 22. Calculate the remainder when 15 is divided by r.
3
Calculate the remainder when (4 + (-185)/(-20))/((-1)/(-8)) is divided by 37.
32
Let a(l) = -l**2 - 5*l + 5. Let d = 1 + -2. What is the remainder when (-1 + 4)/(d/(-3)) is divided by a(-5)?
4
Let m be (-4 + 0)*(-36)/(-3). Suppose -234 = 3*f - 4*p, p + 77 = -3*f - 172. Let q = m - f. What is the remainder when q is divided by 18?
16
Let d = -2 + 33. Suppose -2*k = -2*s - 55 - 43, 0 = -4*k - 5*s + 160. Let o = k - d. What is the remainder when 27 is divided by o?
13
Suppose 27*p - 180 = 18*p. What is the remainder when 54 is divided by p?
14
Let k be -4*(3 + (-63)/12). Suppose -3*q = -2*q - k. What is the remainder when q is divided by 6?
3
Let w(y) = 5*y + 6. Calculate the remainder when w(7) is divided by 480/35 + (-2)/(-7).
13
Suppose 3*p + 5*w + 17 = 48, -4*w + 35 = 3*p. Let t be (-10)/(-45) - 508/18. Let u = -19 - t. Calculate the remainder when p is divided by u.
8
Let b(d) = -38*d. Let o be 3*(4/3)/(-4). Suppose 140 = 4*t + 3*t. What is the remainder when b(o) is divided by t?
18
Suppose 5*g - 457 = -7. Calculate the remainder when g is divided by 46.
44
Let z be (0 - 0)*3/6. Let t = z - -11. Calculate the remainder when 64 is divided by t.
9
Suppose 9 = 3*n - 12. Calculate the remainder when ((-6)/10)/(13/(-390)) is divided by n.
4
Let i(s) = -s**3 - 4*s**2 - 4*s + 1. Let m be i(-3). Suppose -m*k = -65 + 9. What is the remainder when k is divided by 5?
4
Suppose 4*y = y - 12. Let v be (-158)/(-18) + (-10)/(-45). Let a = y + v. Calculate the remainder when a is divided by 3.
2
Let q = 23 - 32. Let m = q + 12. Calculate the remainder when 8 is divided by m.
2
Let l = 120 + 8. Calculate the remainder when l is divided by 22.
18
Suppose -o + 60 = 5*o. Calculate the remainder when 39 is divided by o.
9
Suppose -1 - 29 = -4*r - 2*t, -3*r - 3*t = -27. Suppose -u + 67 = 4*b, 4 = -u + 3. Calculate the remainder when b is divided by r.
5
Let o be 11 + -8 - (-1 + 3). Let f = o - -8. What is the remainder when f is divided by 3?
0
Suppose -l - 2*q = 3*l + 62, 3*q + 18 = -l. Let y = 18 + l. What is the remainder when 11 is divided by y?
2
Let k = 89 + 13. What is the remainder when k is divided by 13?
11
Suppose -104 = -4*j - 12. Let q = 4 - 1. Suppose 5*l = u - 17, 37 = q*u - 0*l - l. What is the remainder when j is divided by u?
11
Let m be 4/(-26) - (-328)/104. Suppose 0*k - 2*k = -i - m, i + 13 = 4*k. What is the remainder when 17 is divided by i?
3
Let v = 6 - 4. Suppose 4*a = v*a. Suppose -4*s + 6 = -d - a*d, 0 = 5*d + s - 12. Calculate the remainder when 3 is divided by d.
1
Let w(d) = 6*d. Let g be w(-1). Let i = g - -14. What is the remainder when i is divided by (-34)/(-6) - 4/6?
3
Let p be (-110)/(-6) - 3/9. Let n = -10 + p. What is the remainder when 14 is divided by n?
6
Let x(s) be the second derivative of 2*s**3 + s**2 - 4*s. Calculate the remainder when x(5) is divided by 16.
14
Let k(s) = s**3 - 4*s**2 + 3*s - 6. Let y(t) be the third derivative of t**6/120 + t**4/24 + 3*t**3 + t**2. What is the remainder when k(5) is divided by y(0)?
16
Suppose p - 3*p = -34. Suppose -5*h + l + 118 = 0, -3*h + 84 = l - 6*l. Let x = h - 14. Calculate the remainder when p is divided by x.
8
Suppose -2*w - w = -39. Suppose 3*d + 118 - 7 = 0. Let l = 75 + d. What is the remainder when l is divided by w?
12
Suppose 0 = 10*l + 32 - 142. What is the remainder when l is divided by 2?
1
Let z be 174/(-7)*(-3 - 4). Suppose 4*i = i + z. What is the remainder when i is divided by 15?
13
Suppose 0*w = 5*w - 75. Suppose 0 = f - b - 5, -5*b - 9 = -4. Calculate the remainder when w is divided by f.
3
Let c be 2/6 + (-132)/(-36). Suppose -4*r = -3*g - 2, 3*r - c = g + r. Calculate the remainder when 17 is divided by g.
5
Let n(k) = k**3 + 4*k**2 + k - 3. Suppose 0 = -f - f - 6. Calculate the remainder when 1/(((-9)/(-12))/3) is divided by n(f).
1
Let p = 21 - -28. Calculate the remainder when p is divided by 17.
15
Let t(z) = -2*z + 11. Calculate the remainder when t(-8) is divided by 10.
7
Suppose -m = -2*i + 4*m - 1, 0 = -3*i - 2*m - 11. Suppose 11 + 3 = j. Calculate the remainder when j is divided by 5 + i + (-1 - -4).
4
Let i = 9 + -7. Suppose 2*g + g - w = 31, 0 = 4*g + i*w - 38. Calculate the remainder when (3/3)/(1/29) is divided by g.
9
Let z(h) = 9*h - 1. Let b = 26 + -36. Calculate the remainder when z(1) is divided by -3*(b/3)/2.
3
Let f(t) = 9*t**2 - t + 1. Let g(p) = 3*p - 107. Calculate the remainder when f(-3) is divided by g(43).
19
Let c = -121 + 127. What is the remainder when 112 is divided by c?
4
Suppose -2*k + 2*w = 3*k - 143, -4*w = -4*k + 124. Calculate the remainder when 51 is divided by k.
24
Let f(q) = 0 + 2 - 1 - 18*q + 2. Let i be f(-4). Suppose -n + 12 = k + n, i = 5*k + 5*n. Calculate the remainder when 35 is divided by k.
17
Let x be (-2)/4 - (-17)/(-2). Let l(s) = -s**3 - 9*s**2 + s + 12. Let t be l(x). Calculate the remainder when (-304)/(-12) - 1/t is divided by 13.
12
Suppose -5*v = 2*q - 19, q - 2*v = -v - 1. What is the remainder when -1 - -2 - 6/(-3) is divided by q?
1
Suppose -4*f + 3 = -49. Calculate the remainder when 23 is divided by f.
10
Let g be 1*((-4 - -42) + -1). Suppose -k = 2*u - 14, 3*k + u = -0*k + g. Calculate the remainder when k is divided by 5.
2
Let v(q) = -q + 2. Let w be v(0). Suppose -2*y + 61 = -k, -w*y + 7*y - 175 = -5*k. Calculate the remainder when y is divided by (-258)/(-15) - (-3)/(-15).
15
Let h be (-279)/(-18) + (-1)/(-2). Let y(x) = -x + 11. What is the remainder when -3 + (1 - 0) + h is divided by y(6)?
4
Let z(p) = 6*p**2 - 4*p + 8. Calculate the remainder when 237 is divided by z(2).
21
Let u(p) be the second derivative of 11*p**3/3 + p**2/2 - 2*p. Calculate the remainder when u(2) is divided by 16.
13
Calculate the remainder when (-8)/(-10)*(2 - -63) is divided by 11.
8
Let s be 1/5 + (-18)/(-10). Suppose 2*b + 4*f + 3 = 29, -4*f = -s*b + 18. What is the remainder when 41 is divided by b?
8
Suppose -d = -2*r + 7*r + 24, 4*d - 19 = 3*r. Suppose -l - d - 3 = 0. Let b = 13 + l. What is the remainder when 16 is divided by b?
7
Suppose 4*w - 4*c + 6 - 18 = 0, -c = 0. Let a(f) = 2*f**2 + 14*f + 15. What is the remainder when a(-6) is divided by w?
0
Let v(o) = -o**3 + 13*o**2 - 8*o - 25. What is the remainder when v(12) is divided by 13?
10
Suppose -4*a + 38 + 14 = 0. What is the remainder when a is divided by (-2 + (-45)/(-12))*4?
6
Let w(c) = -c + 29. What is the remainder when -2 - ((-2)/1 - 30) is divided by w(18)?
8
Let g(y) = 2*y**2 + 2*y + 12. What is the remainder when g(4) is divided by 18?
16
Suppose 5*p + 100 = 10*p. What is the remainder when 78 is divided by p?
18
Suppose 0 = -5*w + k + 51, -4*w - 3*k = k - 36. Calculate the remainder when w is divided by 3.
1
Suppose -2*k = -5*k + 132. Calculate the remainder when k is divided by 15.
14
Suppose -3*o + 4 = -2*o. Calculate the remainder when 5 is divided by o.
1
Suppose 0 = 4*f + 2*u - 10, -7 = -3*f + u - 2*u. Let n = 23 + f. Calculate the remainder when n is divided by -9*((-3 - -2) + 0).
7
Let c = -27 - -19. Let j(k) = -k**3 - 8*k**2 - 5*k - 5. What is the remainder when j(c) is divided by 12?
11
Let f(a) =