when a is divided by 8.
7
Suppose -s = -0*s - 76. Calculate the remainder when s is divided by 13.
11
Suppose x - 67 = -3*h, -5*h + 38 = -3*h - x. Calculate the remainder when h/14 - 6/(-4) is divided by 2.
1
Let i(d) = -7*d**2 + 4*d + 2. Let a(k) = 13*k - 1 - 3 + 8 - 20*k**2 + 1. Let u(p) = 6*a(p) - 17*i(p). Calculate the remainder when 7 is divided by u(9).
2
Suppose -g + 15 = u, 0 = -u + 2*u + 3*g - 13. Let i = -13 + 4. What is the remainder when u is divided by (i/5)/(2/(-10))?
7
Let w(o) = -2*o + 3. Calculate the remainder when 49 is divided by w(-7).
15
What is the remainder when 57 is divided by ((-30)/4)/((-2)/(-4) - 1)?
12
Let g = -5 + 9. Calculate the remainder when 22 is divided by g.
2
Suppose 4*p + 18 - 2 = 0. Calculate the remainder when 603/21 - p/14 is divided by 16.
13
Suppose -3*r + 5*s + 24 = 0, -4*s + s = 0. Calculate the remainder when r is divided by 3.
2
Suppose 0 = 5*v - 2*v - 189. Suppose t + 2*t = v. What is the remainder when 60 is divided by t?
18
Calculate the remainder when ((-2)/6)/((-1)/57) is divided by 10.
9
What is the remainder when 50 is divided by 572/28 + 4/7?
8
Let k(r) = r**3 - r + 65. What is the remainder when k(0) is divided by 22?
21
Suppose -4*n + 111 - 31 = 0. Let r(w) = -w**2 + w + 8. Let k be r(0). Let a = 31 + k. What is the remainder when a is divided by n?
19
Suppose -6*u + 28 = -4*u. Calculate the remainder when 27 is divided by u.
13
Suppose -2*z - 12 = 2*l - 50, -2*z + 33 = l. Calculate the remainder when z is divided by 4.
2
Let x = -5 - -8. Suppose 4*g - 6 = x*g. Suppose p + 5*q - 32 = 0, -4*p + 71 = 2*q - q. What is the remainder when p is divided by g?
5
Suppose -2*p - 2*g - 5 = -3, -32 = -3*p + 4*g. Suppose 18 = p*r + 6. Calculate the remainder when 10 is divided by r.
1
Let v be 30*-1*12/10. Calculate the remainder when 1/(v/(-34) + -1) is divided by ((-6)/8)/(3/(-24)).
5
Let l(h) be the first derivative of 2*h**3/3 - 5*h**2/2 + 3*h - 2. Let k be l(3). Let i(w) = 3*w - 9. Calculate the remainder when 25 is divided by i(k).
7
Suppose -r + 0*r = f - 2, -3*f + 4*r = -27. What is the remainder when 5 is divided by f?
0
Let f = -13 - -22. Calculate the remainder when 14 is divided by f.
5
Suppose -s + 2 = -3*s. Let f be (-4)/6*(-5 + s). Suppose -f*u = 2*z - 134, -u - 4*z = -2*z - 38. Calculate the remainder when u is divided by 11.
10
Suppose -323 - 370 = -9*a. What is the remainder when a is divided by 9?
5
Suppose -d - d = -5*v - 374, 5*d = -4*v - 286. Let g = v - -37. Let u = -18 - g. Calculate the remainder when 36 is divided by u.
17
Let d(f) = 9*f**3. Suppose 6*h - 9*h = -3. Let a = 50 + -35. What is the remainder when a is divided by d(h)?
6
Let g be -4 + 4 + 4/(-2). Let y be 0 + (g - -1) + 46. Let r = y - 25. What is the remainder when r is divided by 7?
6
Suppose 0 = -4*i - 20, -4*i = -0*z + 5*z - 90. Calculate the remainder when z is divided by 5.
2
Suppose 7*q = 288 + 146. Calculate the remainder when q is divided by 34.
28
Suppose -3*z + 6*z = -21. Let o = z + 10. Suppose 5*q - o*q - 29 = -5*a, -4*q = 2*a - 2. What is the remainder when 12 is divided by a?
5
Let c = 56 + -49. Calculate the remainder when c is divided by 5.
2
Let f(t) = 9*t. Let y(h) = -5*h. Let c(p) = 4*f(p) + 7*y(p). Calculate the remainder when 4 is divided by c(2).
0
Suppose 0*h - 16 = -4*h. Let q be -1 + 10 - (-1 + h). Let r(g) = 3*g + 6. What is the remainder when 47 is divided by r(q)?
23
Let s be 1*3/(3*-1). Let j be 4 + -2 - s*30. Suppose 3*v + v - 5*p - 64 = 0, 2*v - 3*p - j = 0. Calculate the remainder when v is divided by 9.
7
Let j be (1/2)/((-2)/(-40)). Let u(p) be the second derivative of p**3/3 + 9*p**2/2 + 12*p. Calculate the remainder when u(j) is divided by 10.
9
What is the remainder when ((-2)/8)/((-2)/344) is divided by 23?
20
Let v = 61 - 43. Calculate the remainder when 87 is divided by v.
15
Suppose 0 = -4*b - 1 - 3. Let l be 1 - 2 - (-2 - b). Suppose -p + 3*n + 10 = l, 5*p + n - 130 = -0*n. What is the remainder when p is divided by 13?
12
Let m(u) be the second derivative of 3*u**5/10 + u**4/12 - u**2/2 - 4*u. What is the remainder when 17 is divided by m(1)?
5
Let o = -49 + -1. Calculate the remainder when 12 is divided by ((-2)/4)/(5/o).
2
Let d be 22 + (2/(-1) - -1). Suppose 4*i = 3*i + d. Let y = i + -9. What is the remainder when 23 is divided by y?
11
Let h = 72 + 6. Suppose d = -2*d + h. Suppose 2*q = -v + q + 16, 5*v - 78 = -4*q. What is the remainder when d is divided by v?
12
Suppose -56 = -5*i + 334. What is the remainder when i is divided by 20?
18
Let a = -1 - -3. Let s be a/((-1)/((-17)/2)). Suppose 0*t = -t + s. What is the remainder when 67 is divided by t?
16
Let j(t) = t + 9. Calculate the remainder when 44 is divided by j(3).
8
Let f(s) = s**2 - 5*s + 4. Let z be f(5). Suppose -z*p + 14 - 2 = 0. Calculate the remainder when 8 is divided by p.
2
Suppose -2*o = o - 9. Suppose o*j = 7*j - 12. What is the remainder when 3 is divided by j?
0
Let i(u) = 44*u + 2. Let j be (-2 + 6)*(-3)/(-6). Calculate the remainder when i(j) is divided by 23.
21
Calculate the remainder when 40 is divided by (-18)/9 + 12 + (-6)/(-3).
4
Suppose 4*m + 34 - 10 = 0. Let c(v) = -v - 1 + 4 - 5*v. What is the remainder when c(m) is divided by 20?
19
Let p = 27 + -15. Suppose 0 = 5*z + 2*v - p, -2*z + 2 = 2*v - 4. Suppose 4*y - 58 = -z. What is the remainder when y is divided by 8?
6
Let s = 8 + -5. Suppose 3*y + 2 = 5*q, -2*q - 5*y = -3*q + 18. Let a(h) = -h**3 - 2*h**2 - h. What is the remainder when s is divided by a(q)?
1
Suppose -55*s = -58*s + 63. What is the remainder when 62 is divided by s?
20
Suppose 5*q - 3*q = 20. Suppose -q = 3*b - 49. Suppose 0 = -4*h + 5*i + 40, i = -4*h - 3*i + 4. What is the remainder when b is divided by h?
3
Let q = -20 - -33. Suppose -4*r = w - 12, -5*w + 4*r + 6 = -6. Calculate the remainder when q is divided by w.
1
Let p = 29 - 18. What is the remainder when p is divided by 23/6 + (-1)/(-6)?
3
Let y(w) = 10*w**2 + 3*w + 1. Let q be y(3). Suppose -5*m + k + q = -2*k, m = k + 18. Let f = m + -9. Calculate the remainder when f is divided by 5.
4
Suppose -3*f = 5*h - 36, -4 = -5*f + 6. Let m(o) = 3*o - 2. Let b be m(4). Calculate the remainder when h is divided by (20/50)/(2/b).
0
Suppose -3*y = 4*z - 0*z + 5, 5*y = z - 16. Suppose 4 = -4*i - 2*b, -5*i - z = -4*i - 4*b. What is the remainder when 2 is divided by (-6)/(-4) - i/2?
0
Suppose -c - 188 = -5*c. Let y(s) = 3*s - 1. Let g(m) = -3*m + 1. Let t(z) = -4*g(z) - 5*y(z). What is the remainder when c is divided by t(-5)?
15
Let k be (-5)/4 - (-1)/4. Suppose -c - d - 15 = 0, -4*d = -3*c - 12 - 26. What is the remainder when 25 is divided by (c/(-3))/(k/(-3))?
11
What is the remainder when 68 is divided by (-34 + -2)/6 + 25?
11
Let c(p) be the second derivative of -p**4/6 - 5*p**3/2 + 5*p**2/2 - 5*p. What is the remainder when 35 is divided by c(-7)?
11
Suppose -s - 3*f + 2 = 2*f, -5*f = 2*s - 4. What is the remainder when 3 + 0 + s*15 is divided by 17?
16
Let b(g) = -2*g - 4. Let w(v) = -10*v + 1 + v**2 + 9 - 4 + 5. Let z be w(8). What is the remainder when 16 is divided by b(z)?
4
Let s = 28 - 12. Let l = -33 + 23. Let m = s + l. What is the remainder when 10 is divided by m?
4
Let r = 14 + -10. Suppose h + 14 = 4*d + r*h, 4*h = d + 6. Let f = 4 - 2. Calculate the remainder when f is divided by d.
0
Let y = 22 - 3. Calculate the remainder when 37 is divided by y.
18
Let y(k) = -2*k - 2. Let d be y(2). Calculate the remainder when (46 + -4)/(d/(-4)) is divided by 15.
13
Suppose -5*n + 0*n - 270 = 0. Let f = n - -88. Suppose -10 + 58 = 4*b. What is the remainder when f is divided by b?
10
Let s = -25 + 41. Suppose 2*i - 4*i = 4*z - 24, 0 = 2*i - 2*z - 6. What is the remainder when s is divided by i?
4
Suppose -q + 3*w - 33 = -2*q, -5*w = 5*q - 205. What is the remainder when q is divided by 24?
21
Let v = 3 - -16. Suppose -5*n + 35 = -0*n. What is the remainder when v is divided by n?
5
Let p(w) = w**3 - w**2 - 4*w + 15. What is the remainder when p(8) is divided by 62?
59
Let s = -36 + 88. What is the remainder when s is divided by (-69)/(-4) + 9/12?
16
Suppose -4*l + 1 = -3*o + 2, -l = -o + 2. What is the remainder when 1*(-3 + (-2)/((-6)/105)) is divided by o?
4
Let u(w) = -w**2 + 6. Let h be u(3). Calcu