4.
10
Let p = -6 - -6. Suppose -q + l + 12 = p, q - l - 4*l = 32. Calculate the remainder when q is divided by 5.
2
Suppose -44 = -8*n + 76. Let v be 5/((-1)/(-1))*6. Suppose -6*r = -r - v. Calculate the remainder when n is divided by r.
3
Let u(a) = 13*a - 1. What is the remainder when 22 is divided by u(1)?
10
Let g = 0 - 2. Calculate the remainder when (-159)/(-6) + 2/(-4) is divided by -14*(0 + g + 1).
12
What is the remainder when 76/3*6/4 is divided by 13?
12
Let b be (2 - 3)/(2/(-4)). Suppose 6*p - 46 = p + 2*u, -2*p = -5*u - 10. What is the remainder when 62/(4/b) - 2 is divided by p?
9
Suppose 5*i + 63 = s, -3*i = i + 8. What is the remainder when s is divided by 18?
17
Let f(h) = h**2 + 8*h + 2. What is the remainder when f(-8) is divided by 2?
0
Let f(y) = 2*y + 47. What is the remainder when f(12) is divided by 38?
33
Let m = 65 - 29. Let w(g) = -g + 7. Calculate the remainder when m is divided by w(-6).
10
Let l = -10 + 18. Let i = l + -7. Calculate the remainder when i is divided by 1.
0
Let c = -50 + 71. Calculate the remainder when 82 is divided by c.
19
Let i(u) be the third derivative of 5*u**4/8 + 2*u**2. What is the remainder when i(1) is divided by 8?
7
Let w be 360/(-14) - (-30)/(-105). Suppose -28 = -0*m - 2*m. Calculate the remainder when (-1062)/w + 2/13 is divided by m.
13
Suppose -20 = -m - 5*j, 3*m - 32 = -0*j - j. What is the remainder when 35 is divided by m?
5
Let w(u) = -30*u - 11. Calculate the remainder when w(-3) is divided by 28.
23
Let h = 29 + -15. Let q = h + -4. Calculate the remainder when 29 is divided by q.
9
Calculate the remainder when 22/(-8)*(8 + -12) is divided by 4.
3
Let x = 43 - -41. What is the remainder when x is divided by 17?
16
Suppose j + 62 = 3*p, 2*j - 5*j = p - 34. Let o = 17 + 12. Suppose -o + 5 = -3*g. What is the remainder when p is divided by g?
6
Let a = 26 - 6. What is the remainder when 39 is divided by a?
19
Suppose -6*k + 3*k = 0. Suppose -17 = -w - k*w. What is the remainder when 33 is divided by w?
16
Let n(l) = -l**3 - l**2. Let x(k) = 4*k**3 + 7*k**2 + k + 3. Let a(m) = -3*n(m) - x(m). Calculate the remainder when 1*(-1)/(-2)*2 is divided by a(-4).
0
Let n = -11 + 14. Let y(m) = m**3 - m**2 - 2*m + 3. What is the remainder when 41 is divided by y(n)?
11
Let r = 2 + 2. Suppose -2*w - 5*u = -57, 2*w + u - 57 = -r. Let t = w + -10. Calculate the remainder when t is divided by 9.
7
Suppose 3*g - 12 = 63. Calculate the remainder when 48 is divided by g.
23
Suppose k + 7 = 36. Calculate the remainder when k is divided by 13.
3
Let l = 19 + -5. Suppose 5*q - 3*u + 4*u - 196 = 0, 0 = -4*q - 5*u + 140. What is the remainder when q is divided by l?
12
Let x(z) = 2*z**3 + 2*z**2 + z. Suppose 0 = o - d - 5, -o - 2*d - 4 = -0*o. Calculate the remainder when 75 is divided by x(o).
23
Let k(h) = -7*h + 1. Let o be k(-1). Suppose o*b = 5*b + 27. What is the remainder when b is divided by 2?
1
Suppose -5*p + 6 = 2*k, -p - p + k = -6. Suppose 0 = -0*d + p*d - 6. What is the remainder when d is divided by 2?
1
Let w(v) = 3*v**2 - v. Let b be w(1). Let k = -44 - -47. Suppose 3*i = k*p, 9*i - 4*i = b*p + 15. Calculate the remainder when 18 is divided by p.
3
Suppose -12 = 2*n - 5*n. Suppose n*h = 42 + 10. Let v(x) = x**3 - 17*x**2 + 18*x + 5. Calculate the remainder when v(16) is divided by h.
11
Let o(x) = 22*x**3 - 2*x + 1. Let t = -44 + 106. Calculate the remainder when t is divided by o(1).
20
Suppose 3*g - 39 = -2*k, -5*g - 7*k + 65 = -3*k. What is the remainder when 24 is divided by g?
11
Suppose 4*s + 0*s = -136. What is the remainder when (-7 - s) + 1 + -3 is divided by 9?
7
Suppose -5 = -0*s - s. Suppose 4*a = s*a - 1. Calculate the remainder when (-20)/(-15) - (-2)/3 is divided by a.
0
Let z(o) = o + 221. Let c be z(0). Suppose -3*h + 0*h - 4*t - c = 0, 0 = 3*h - 2*t + 245. Let i = h + 115. What is the remainder when i is divided by 19?
17
Suppose -2*w = 0, -w + 0*w + 78 = 3*u. What is the remainder when u is divided by 14?
12
Let z = -11 - -15. Let o(r) = -r + 1. Let p be o(-3). Suppose -p = -4*s + 8. What is the remainder when z is divided by s?
1
Let v be ((-2)/(-3))/((-6)/(-27)). What is the remainder when 10 is divided by (-8)/v*36/(-16)?
4
Let v(g) = g**2 - 3*g + 1. Let k be v(4). Suppose 0 = -5*x - 1 - 24, -k*s + 4*x = -75. Suppose -3*q + 89 = -7. Calculate the remainder when q is divided by s.
10
Suppose v - 34 = -5*k - 0*v, -k + 5 = 2*v. Calculate the remainder when 26 is divided by k.
5
Let t(d) = d**3 - 7*d**2 + 8*d - 9. Let z be 18/12*1*2. Suppose z*n - 2*i - 10 = 0, i + 16 = 5*i. Calculate the remainder when 8 is divided by t(n).
2
Let p be (-1 + (-1)/(-1))/2. Suppose p*n - 2*n = -4*r - 50, -56 = -4*n - 3*r. What is the remainder when n is divided by 12/78 + (-152)/(-26)?
5
Let n be 4/(-10) - 72/(-30). What is the remainder when 35 is divided by (-14)/n*36/(-21)?
11
Suppose 2*n = n + f + 40, -5*n + 200 = f. Suppose 0 = -2*c + 50 + n. Suppose 0*b = -3*b + c. What is the remainder when b is divided by 8?
7
Let f = 11 + -18. Let i = 14 + f. What is the remainder when 20 is divided by i?
6
Suppose 3*t - 46 - 23 = 0. Let i be 8/20 - t/(-5). Suppose -3*r - i*f = -6*r + 81, 0 = -4*r + 2*f + 122. Calculate the remainder when r is divided by 11.
10
Let d = 86 - 20. What is the remainder when d is divided by 34?
32
Let p = -75 + 133. Let w = 132 - p. Calculate the remainder when w is divided by 25.
24
Let c = 16 - 15. What is the remainder when 53 is divided by (144/(-8))/(-1*c)?
17
Let u = -15 - -42. Suppose t - s - u = 22, 3*s = t - 45. What is the remainder when t is divided by 13?
12
Let s = 15 + 3. What is the remainder when 31 is divided by s?
13
Suppose -4*y = -2*y - 54. Suppose 5*w + 2*l + 3*l - 290 = 0, 2*w - 4*l = 86. Calculate the remainder when w is divided by y.
26
Let w(k) = 45*k**3 - 2*k + 1 - 2*k**2 + k**2 + k. Suppose -v - 5*r = -30, 3*v - 32 = -5*r + 28. What is the remainder when w(1) is divided by v?
14
Suppose -13 = 3*j - 1. Let p = j - -23. Calculate the remainder when 74 is divided by p.
17
Suppose 0 = 2*k + p - 50, -2 = 4*p + 14. What is the remainder when k is divided by 16?
11
Let x be (-2)/(-3) - 98/21. Let p(b) = -4*b - 4. Calculate the remainder when 35 is divided by p(x).
11
Let d(l) = 26*l - 11. Calculate the remainder when d(3) is divided by 25.
17
Suppose 3*z = 4*c - 11, -3*c + 9 = -0*c - 3*z. What is the remainder when 4 is divided by 0 - (-1 + c/(-2))?
0
Let p(u) = u**3 + 6*u**2 + 5*u - 6. Let q be p(-5). Let b(l) = l**3 + 8*l**2 + 6*l + 9. Calculate the remainder when b(q) is divided by 12.
9
Let f(z) = -z**3 - 3*z**2 + 7*z + 6. Let s be f(-4). Let m = 10 + -8. What is the remainder when (4/s)/(2/(-15)) is divided by m?
1
Let c(b) = -b**2 - 4*b + 9. What is the remainder when 24 is divided by c(-4)?
6
Let z(l) = l**2 + 4*l - 3. Let q be z(-5). Let x = 9 - -1. What is the remainder when x is divided by q/(-2 - (-10)/4)?
2
Let u = -179 - -363. Suppose f + 3*f - u = 0. Let t(w) = -w**3 + 8*w**2 - 13*w + 6. Calculate the remainder when f is divided by t(5).
14
Let i be (-6)/4*(-2)/(-3). Let k = 24 + i. Suppose -b = 5 - k. Calculate the remainder when 34 is divided by b.
16
Suppose 4*i - 52 = h + 3*h, -3 = 3*h. Let y = 0 - 0. Suppose y = -2*z + 3*z - 35. Calculate the remainder when z is divided by i.
11
Let v(d) = -2*d - 3. Let a be v(0). Let h(x) = -x**3 + 4*x**2 - 7. Calculate the remainder when h(a) is divided by 19.
18
Suppose -5*p - 17 = -9*p - z, 5*z - 25 = 0. Calculate the remainder when 3 is divided by p.
0
Let x = 78 + -55. What is the remainder when 87 is divided by x?
18
Suppose -6 - 4 = 3*u - 5*t, -2*u - t = -15. What is the remainder when 9 is divided by u?
4
Suppose -2*p + 5 = -1. Let z(h) = h**3 - h + 3 + h - 3*h**2 + 2*h. Calculate the remainder when 25 is divided by z(p).
7
Let v = 2 + -4. Let c(u) = -2*u + 4. Calculate the remainder when -1 - v/((-2)/(-53)) is divided by c(-7).
16
What is the remainder when 2/12 - ((-21080)/(-48))/(-17) is divided by 11?
4
Let o be (-2)/(-3) - (-5)/(-3). Let b be 3/(1*o/(-1)). Suppose 5*x - 35 = -b*i - 16, 3*i + 4*x = 17. What is the remainder when 6 is divided by i?
0
Let s(f) = 9*f + 4. Let m be s(3). Suppose 4*d = 85 + m. What is the remainder when d is divided by (2*5)/(-1 - -2)?
9
What i