der when 4 is divided by a.
1
Calculate the remainder when (-1)/(-3) - 1300/(-15) is divided by 22.
21
Let z be -1*(-5 - -4) + -1. Let f(g) = g**2 - g + 35. What is the remainder when f(z) is divided by -1 + 0 - 1*-10?
8
Suppose -23 - 16 = -3*x. Let a = 69 + -30. Suppose 5*d = 81 + a. Calculate the remainder when d is divided by x.
11
Suppose 2*y = -5*u + 117, -2*y + 4*u + u = -67. Calculate the remainder when y is divided by 24.
22
Let t = -88 + 146. Let j be (39 + (1 - -1))*2. Let y = j - t. Calculate the remainder when y is divided by 13.
11
Let p = 4 + -6. Let s be p/((-2)/2) - 9. Let y(w) = -w**2 - 7*w + 1. Calculate the remainder when 2 is divided by y(s).
0
Let v(k) = k**3 - 4*k**2 - 10*k + 1. Calculate the remainder when v(7) is divided by 2/(2/(-27))*-1.
24
Let v(k) = -k**2. Let q(u) = -8*u**2 + u - 4. Let c(g) = -q(g) + 6*v(g). Suppose 12 = 2*w + w. Calculate the remainder when c(w) is divided by 11.
10
What is the remainder when 2*(-3 + (-207)/(-6)) is divided by 13?
11
Calculate the remainder when 162 is divided by (-6)/(-12) + 130/4.
30
Suppose -2*n = -b - 12, n + 2*b = -0*b - 4. What is the remainder when 17 is divided by n?
1
Suppose 4*g - 23*g = -418. What is the remainder when 64 is divided by g?
20
What is the remainder when -3 - ((-148)/2 - 1) is divided by 15?
12
Suppose 18 = c - 2*m, -3*c + 29 = 2*m - 33. Let j = -58 - -28. Let a = j + 69. What is the remainder when a is divided by c?
19
Suppose 5*s - 31 = 79. Let m(y) = -2*y - 6. Calculate the remainder when s is divided by m(-9).
10
Suppose -2*o + 6 = 0, 4*r - 2*o = 6 + 28. Let s(w) = w**2 + 4*w - 3. Let l be s(-6). Let m = l + -5. What is the remainder when r is divided by m?
2
Let w = 12 + -1. Let c(l) = l**2 - 2*l - 3. Calculate the remainder when c(-5) is divided by w.
10
Let s(u) = -7*u - 6. Let g be s(-4). Let m = g - 7. Suppose y = -2*h - 2*h + 30, -y = 2. Calculate the remainder when m is divided by h.
7
Suppose v - 3*v - 2 = 0. What is the remainder when 2 - (-5)/((-10)/(-12)) is divided by (v + 4/10)*-5?
2
What is the remainder when 11 is divided by (-29)/(-7) + (-8)/56?
3
Let k(x) = x**3 + 3*x**2 - 7*x + 1. Let j be k(-5). Let q = j + 24. What is the remainder when 19 is divided by q?
9
Let g(v) = 14*v**2 + v. Suppose -4 = -y + 3*x - 0, -5*y + 4*x = -9. Calculate the remainder when 43 is divided by g(y).
13
Let i = 24 + -9. Suppose -x = -5*d + 15 - 59, -3*d - 67 = -2*x. Calculate the remainder when x is divided by i.
14
Suppose -4*w - 3*s + 77 = -0*s, 25 = -5*s. Let r = -7 - -74. What is the remainder when r is divided by w?
21
Let o = 18 + -1. Let u = o - 6. Calculate the remainder when 17 is divided by u.
6
Suppose 6*l - 48 = 4*l. Suppose -4 + l = 2*b. What is the remainder when 38 is divided by b?
8
Suppose 9*w + 144 = 13*w. Calculate the remainder when w is divided by 20.
16
Let o(m) = 2*m**3 + 15*m**2 - 12*m - 12. Let b be o(-8). Suppose t + 1 = 5. Suppose b = t*d - 2*d. What is the remainder when d is divided by 4?
2
Let x = -14 - -26. Let r = 15 + 8. What is the remainder when r is divided by x?
11
Suppose 5*t + 43 = 2*f - 21, -t = f - 18. What is the remainder when 65 is divided by f?
21
Let g(p) = 3*p + 2. Let o(y) = -y**2 + 5*y + 6. Let v be o(5). Suppose 2*x = v*x - 32. What is the remainder when g(7) is divided by x?
7
Let s be (-7)/14*(-17 + -1). Suppose 0 = -3*h - 0 + 6. Let k = h + s. What is the remainder when 31 is divided by k?
9
Suppose 3*s + 4 = 2*d, -6 - 19 = -5*d. What is the remainder when 62/14 + (-3)/7 is divided by s?
0
Suppose 0 = 2*u - 6, -l - 2*l + u = -6. Suppose -5*i = l*k - 359, -i + 71 = 4*k - 3*k. Calculate the remainder when i is divided by 19.
16
Let k(r) = -r**3 + 5*r**2 + r + 3. Let w be k(5). Suppose -z + w*o - 1 = 4*o, -z + o = -11. Calculate the remainder when z is divided by 6.
3
Suppose -x = -4*x + 3. Calculate the remainder when (4 - (0 + x)) + 9 is divided by 7.
5
Let w(l) = 4*l + 6. Let d be w(-6). Let m = d - -46. Suppose 2*y + x - 15 = 0, 0*x = -3*y - 2*x + 20. What is the remainder when m is divided by y?
8
Let u = -79 - -114. Calculate the remainder when 68 is divided by u.
33
Let p be ((-36)/(-2 - -6))/1. Let u(f) be the first derivative of -f**4/4 - 8*f**3/3 + 3*f**2 - 10*f - 3. Calculate the remainder when 32 is divided by u(p).
15
Let w be (-68)/(0 + 2) - -2. Suppose x + 162 = -2*x. Let l = w - x. Calculate the remainder when l is divided by 8.
6
Suppose 0*p + 4*p - 17 = i, i = -4*p + 23. Suppose -4*y = -i*r + 68, 0 = -5*r - 2*y - 0*y + 70. Calculate the remainder when 45 is divided by r.
13
Suppose -x + 3*x - 10 = 0. Suppose 0 = -3*v + 1 + x. Suppose v*m - 3*m = -2. Calculate the remainder when 4 is divided by m.
0
Let b(n) = n**3 + 4*n**2 - 5*n + 4. Suppose 2*d - 11 = 25. Suppose -7 = 2*l - 3*j - 0*j, 3*j + d = -3*l. What is the remainder when b(l) is divided by 2?
0
Suppose -101 = -6*n + 55. What is the remainder when n is divided by 14?
12
Let l = 82 - 41. Let t = 58 - l. Calculate the remainder when 32 is divided by t.
15
Suppose 4*y = y + 45. What is the remainder when y is divided by 9?
6
Calculate the remainder when 14 + 2 + (-2)/(-2) is divided by 6.
5
Suppose -4*h + 60 = -0*h. Suppose -n = 1 - 8. Suppose -3*y = 5*k - 3, -y + 8 = -3*k - n. Calculate the remainder when h is divided by y.
3
Suppose -4*g + 51 = b, 0*g + 144 = 4*b + 4*g. Let a = 173 + -52. What is the remainder when a is divided by b?
28
Let p be 2 - 0 - (-20)/(-4). Suppose -10 = -5*c + k + k, -2*k = -10. What is the remainder when (42/c)/(p/(-4)) is divided by 5?
4
Suppose -11 = 2*u + f, 0 = 2*u - 4*f + 1 + 5. Let b = -3 - u. Suppose -b*s + 82 = 26. What is the remainder when s is divided by 10?
8
Suppose 5*z - 15 = 0, 5*u - 2*z = -5*z + 589. What is the remainder when u is divided by 24?
20
Let x(a) be the second derivative of a**4/12 - a**2 + 2*a. What is the remainder when x(-6) is divided by 9?
7
Let g be (-1734)/4*2/(-3). Let x = -123 + g. Suppose -t = -5*p - 4*t + 202, 4*p - 2*t - x = 0. Calculate the remainder when p is divided by 14.
13
What is the remainder when 363/(-22)*4/(-9)*3 is divided by 8?
6
Suppose -y - 4*y + 4*o = -141, 5*o + 53 = 2*y. Suppose b = -y + 109. Suppose -3*j = -j - b. Calculate the remainder when j is divided by 14.
12
Let f = -17 + 74. Let g = 97 - f. Calculate the remainder when g is divided by 14.
12
Suppose 8*u = 12*u - 156. What is the remainder when u is divided by 21?
18
Let w(b) = -5*b + 5. What is the remainder when w(-3) is divided by 3?
2
Let p(r) = -3*r - 6. Let w be p(-7). What is the remainder when (w/6)/((-1)/(-10)) is divided by 14?
11
Suppose -2*p = 2*w - 34, -w + p = -0*w - 11. Let c(o) be the second derivative of -5*o**3/3 - 2*o**2 - o. Calculate the remainder when c(-3) is divided by w.
12
Let n(f) = f**2 - 7*f + 9. Let u be n(6). Suppose -4*p = -4*t - 12, 3*t - 4 = -2*p + 2. Suppose -18 - u = -p*q. Calculate the remainder when q is divided by 3.
1
Let r = 19 - 17. Calculate the remainder when 2 is divided by r.
0
Suppose i + 3*c = 4*i - 18, i = -4*c - 9. What is the remainder when 9 is divided by i?
0
Suppose 0 = 4*f + 5*c - 472, -f - 4*f + 5*c + 545 = 0. Suppose 3*m = -4*k + 6 + f, -3*m + 5*k = -101. Calculate the remainder when m is divided by 13.
11
Let a(p) = 2*p**3 + p - 1. Let d be a(1). Calculate the remainder when d + -1 + 30 + -1 is divided by 16.
14
Suppose u = -z + 18, -92 + 32 = -3*z - 5*u. Let k(a) = -a**2 + 13*a - 7. Calculate the remainder when k(9) is divided by z.
14
Suppose 0 = -3*l - l + 20. Suppose -5*u + l*k = 4*k - 31, 2*k = 4*u - 26. Calculate the remainder when 17 is divided by u.
5
Suppose -5*w + o + 9 = 0, w - 13 = 4*o - o. Suppose 0 = 5*a + 11 - 1. Let g = a - -3. Calculate the remainder when g is divided by w.
0
Let k(h) = h**3 - 6*h**2 + 8*h + 2. Let z be (1 - -1)*(1 - 2). Let x be (12/(-14))/(z/14). Calculate the remainder when k(x) is divided by 13.
11
Let j(b) = b**2 + 6*b - 7. What is the remainder when 24 is divided by j(-8)?
6
Suppose -3*v + 19 = -4*t, 2*t = -3*v - 1 - 4. Suppose -v = 4*l - 57. Calculate the remainder when l is divided by 5.
4
What is the remainder when 2/(-7) - (-153)/21 is divided by 2/10 + (-70)/(-25)?
1
Let l = 27 - 15. Calculate the remainder when ((-18)/4)/((-1)/l) is divided by 14.
12
Let r(p) = -2*p + 4. Let x be r(5). 