der when 45 is divided by g?
9
Let d(z) = 57*z. Calculate the remainder when d(1) is divided by 30.
27
Suppose 0 = 5*i - 3*y - 226, -2*i - 126 = -5*i + 5*y. Suppose -i = -s - 5*r, 5*s - 3*r = -0*s + 95. Calculate the remainder when s is divided by 6.
4
Let n = -24 - -36. Calculate the remainder when 35 is divided by n.
11
Suppose -8*c + 4*c = -132. Calculate the remainder when c is divided by 12.
9
Let o(h) = -2*h**3 + h**2 + 4*h + 2. Calculate the remainder when o(-2) is divided by 9.
5
Let o(y) = 5*y**2 - 2*y. Let b be o(-2). Let r = b - 9. Suppose -5*a = 2*k - 60 - 3, k - 30 = -a. What is the remainder when k is divided by r?
14
Let g(i) = -i + 2. Let z be g(5). What is the remainder when 17 is divided by 1 + (-4)/(-2) - z?
5
Let a = 9 + -8. Let h = a - -6. Suppose 0 = r - 8 - 4. What is the remainder when r is divided by h?
5
Suppose -2*x = -x + 2*j - 12, -4*x = 3*j - 28. Calculate the remainder when 15 is divided by x.
3
What is the remainder when 45 is divided by 136/6 + 3/9?
22
Let g be -3 + (-4)/8*2. Calculate the remainder when 23 is divided by 24/2*g/(-8).
5
Let o = -76 + 83. Calculate the remainder when o is divided by 5.
2
Suppose -3*h - 3*g + 17 = -4*g, 4*g + 4 = -4*h. Suppose h*j - 15 = 3*m, -2*j - 3*m + 33 = 2*j. Calculate the remainder when 22 is divided by j.
4
Suppose 0 = -3*i, r - 5 = -5*i - 3. Suppose -4*u - 3*g + 80 = r*g, u - 17 = -2*g. What is the remainder when u is divided by 9?
7
What is the remainder when 2388/26 - 4/(-26) is divided by 19?
16
Suppose 2*h - 3*w = 57, h - 5*w = 24 + 22. Suppose q = y + h, 2*y + 0*y + 105 = 5*q. What is the remainder when 40 is divided by q?
19
Suppose -3*c + 15 = 3*f, 2*c + 3 - 7 = -f. Calculate the remainder when 27 is divided by f.
3
Suppose 9 = a + 2*a. Suppose -42 = -5*i - n, -5*i = -i + a*n - 27. Calculate the remainder when 16 is divided by i.
7
Let y(o) = o**3 - o**2 - o + 4. Let w be y(0). What is the remainder when 22 is divided by w/(-8) - (-13)/2?
4
Let n = 24 + -20. Suppose 5*m + 68 = 4*c, 5*c + m - 85 = n*m. What is the remainder when 32 is divided by c?
15
Suppose 10*v = 39 + 241. Calculate the remainder when v is divided by 12.
4
Suppose 12 = 4*f - 0*f. What is the remainder when 15 is divided by f?
0
Let b = 210 + -208. What is the remainder when -1*1 - (2 + -5) is divided by b?
0
Let b = -194 - -239. Calculate the remainder when b is divided by 23.
22
Suppose -10 = -3*f + f, 2*v + 8 = 2*f. Calculate the remainder when v + 1 + 16/2 is divided by 6.
4
Let g be (54/(-24))/(2/8). Let s = -6 - g. Let l(u) = 2*u**2 + 2. What is the remainder when l(s) is divided by 7?
6
Suppose 5*i + 2*a = 137, 2*a = i + 5*a - 17. Calculate the remainder when i is divided by 10.
9
Let u = 14 + -26. Let v = u - -47. What is the remainder when (v/(-10))/(2/(-8)) is divided by 8?
6
Let r be ((-2)/(-4))/(2/(-16)). Let p(j) = -3 - 6*j - j**2 - 1 + 0. Calculate the remainder when 7 is divided by p(r).
3
Let w be 1 + 3/(6/(-4)). What is the remainder when (-364)/(-39)*(-3)/w is divided by 10?
8
Suppose 2*u = -3*m - 33 + 83, -6 = 3*u. What is the remainder when 34 is divided by m?
16
Suppose -4*d - 5*x - 15 + 127 = 0, 112 = 4*d - 3*x. What is the remainder when 53 is divided by d?
25
Let q = 12 - 7. Suppose -z + 3 = 0, 0 = 5*k + z - q*z - 103. Calculate the remainder when 44 is divided by k.
21
Suppose q + 2*h + 12 = 4*q, 5*h + 17 = q. Suppose -3*d = q*d - 10. What is the remainder when 5 is divided by d?
1
Let l(y) = y**2 - y - 3. Calculate the remainder when 4 is divided by l(-2).
1
Suppose 2*c = 7*c - 55. Calculate the remainder when c is divided by 4.
3
Let a(y) = 4*y**2. Let d be a(-1). Suppose d*t + t = 70. Calculate the remainder when t is divided by 3.
2
What is the remainder when 0 + (34 - 1) + 2 is divided by -1 + 0 + 0 + 19?
17
Suppose 2*d = -2*d + 8. Suppose -6*m = -2*m - 16, 2*m + 16 = d*z. Calculate the remainder when (-208)/(-6) + (-2)/3 is divided by z.
10
Suppose 3*o + 5*v - 9 = 5, o - v = 2. Suppose s + o*i - 5 = 0, -4*s + 0*i - 3*i + 47 = 0. What is the remainder when s is divided by 8?
6
Suppose -2*o + 8 = -6*o, 2*o + 6 = -2*h. Let q = -143 - -156. Calculate the remainder when q is divided by h/2*28/(-2).
6
Let w = -36 - -54. Suppose b - 2*r = -w, -5*b - 4 - 11 = 5*r. What is the remainder when 1 - b*(-3)/(-1) is divided by 13?
12
Suppose p - 4*p + 3*i + 18 = 0, -6 = -5*p - 3*i. Suppose -p*n = -29 - 10. Calculate the remainder when 38 is divided by n.
12
Let n be ((-12)/9)/(3/(-9)). Suppose 0 = w + n*w - 190. What is the remainder when w is divided by 13?
12
Let h(v) = -15*v + 5. Let z be h(3). Let k = -24 - z. Calculate the remainder when 30 is divided by k.
14
Let o be ((-63)/18)/(2/(-4)). Let t = o + 3. Let q = 6 + 0. Calculate the remainder when t is divided by q.
4
Suppose -43 - 82 = -5*i. Calculate the remainder when i is divided by 7.
4
Let j(l) = 2*l**2 - 24*l - 21. Suppose 2*p = 9 + 7. What is the remainder when p is divided by j(13)?
3
Suppose -7*b + 5*b = -28. Calculate the remainder when b/49 - 166/(-7) is divided by 13.
11
Let s be 0/((-1)/(2/(-4))). Suppose -3*r = 15, -4*t = -s*t - 2*r - 58. Let q = 44 + -9. Calculate the remainder when q is divided by t.
11
Calculate the remainder when (-3 - -4)/(0 + 2/46) is divided by 8.
7
Suppose -30 = -2*h - 3*h. Suppose 0 = -10*s + 8*s + 4. Suppose -3*u + 92 = 5*g, -s*g - 2*u = 11 - 51. Calculate the remainder when g is divided by h.
4
Let d be 6 + (-2)/3*3. Suppose 15 = 3*b - 4*f, -f + 8 + d = b. What is the remainder when 26 is divided by b?
8
Let c(o) be the second derivative of o**5/20 - o**4/3 + 2*o**3/3 - o**2/2 + o. What is the remainder when 44*(2 - 3 - -2) is divided by c(4)?
14
Suppose -5*p - 92 = -9*p. Calculate the remainder when 43 is divided by p.
20
Let p(y) = y**2 + y - 4. Let g = -4 - -2. What is the remainder when p(-3) is divided by (1 - (g - -2)) + 1?
0
Suppose f + f + 2*u - 34 = 0, 0 = 3*f + u - 61. Let q(t) = -t + 42. What is the remainder when q(0) is divided by f?
20
Calculate the remainder when 40 is divided by 7 + 8 - ((-9)/3)/(-3).
12
Let s(v) = -v**2 + 11*v + 18. Let y be s(13). Let m(t) = -t + 5. Calculate the remainder when m(y) is divided by ((-15)/6)/(3/(-6)).
3
What is the remainder when ((-4)/10)/(7/(-105)) is divided by 3?
0
Let k = 175 + -143. Calculate the remainder when k is divided by 17.
15
Let k(a) = a**3 + 12*a**2 - 17*a - 17. What is the remainder when k(-12) is divided by 47?
46
Suppose 0 = 2*x - 27 - 51. What is the remainder when x is divided by 3?
0
Let i(x) = 2*x**3 - 8*x**2 + 9*x. What is the remainder when i(5) is divided by 8?
7
Let f = -5 - -9. Let b(x) = -2*x + 5. Let g be b(5). What is the remainder when g/(10/f) + 9 is divided by 3?
1
Suppose -3*u + 5 - 4 = 2*s, -s + u - 2 = 0. Let n = 4 + s. Suppose 13 = 5*g + 3, t = g + n. Calculate the remainder when 14 is divided by t.
4
Let p(d) be the second derivative of d**4/3 - 2*d**3/3 + d**2 + 3*d. Let b be 2/8 - 42/(-24). What is the remainder when 39 is divided by p(b)?
9
Let o = -60 + 37. Let v = o - -61. What is the remainder when v is divided by 1/((-6)/8)*-15?
18
Let s = -8 - -13. Suppose 2*m = -3*n - n + 16, -3*n - 4*m + 22 = 0. Calculate the remainder when n - ((-15)/3 + -1) is divided by s.
3
Let r = 22 + -10. Suppose 4*q + 0*q = r. Suppose 4*y + 18 = 3*i - 7, -2*i + 4*y + 18 = 0. Calculate the remainder when i is divided by q.
1
Suppose 9 - 21 = 2*w. Let m = 10 + w. What is the remainder when 7 is divided by m?
3
Suppose -3*b + 27 = 5*f, 5*b - 13 = 5*f + 32. Let i = 6 + -1. Calculate the remainder when b is divided by i.
4
Let o(p) = p**2 + 9*p + 12. Let c be o(-8). Let u(g) = -6 + 4 + 0 + 10*g. Calculate the remainder when u(c) is divided by 13.
12
Let g(l) = -3 - l**2 - 7 - 17*l - 5 - 1. Let j be g(-12). Calculate the remainder when (j/(-10))/(5/(-25)) is divided by 12.
10
Calculate the remainder when -1 + 5 - (-16 - 1) is divided by 8.
5
Let w(b) = 2*b**2 - b. What is the remainder when 27 is divided by w(-2)?
7
Calculate the remainder when (20/(-1))/((-1)/3) is divided by 17.
9
Suppose v = 27 + 6. What is the remainder when 131 is divided by v?
32
Suppose 2*n + n - 150 = 0. Suppose 70 = 2*s - n. Suppose 2*v + 3*v = s. What is the remainder when 22 is divided by v?
10
Let l(f) = -f**3 - 15*f**2 - 28*f + 24. Ca