the remainder when f(x) is divided by 7?
5
Suppose 0*i + 294 = 4*z + 5*i, 5*z = 5*i + 390. What is the remainder when z is divided by 41?
35
Calculate the remainder when ((-6)/(-5))/((-28)/(-490)) is divided by 2/8 + (-43)/(-4).
10
What is the remainder when 24/32 + 1098/(-8)*-1 is divided by 14?
12
Let v(m) = -m**3 - 6*m**2 - 7*m - 7. Let k = 2 + -2. Suppose 2*s + 3 - 7 = k. What is the remainder when v(-5) is divided by s?
1
Suppose -2*m - 2*m - 24 = 0. What is the remainder when (32/m)/(1/(-6)) is divided by (11/2)/(1/2)?
10
Let r = 0 - -12. Calculate the remainder when 23 is divided by r.
11
Let d be 6/1*12/18. Suppose -3*l = 5*x - 28 - 7, d*x + 2*l = 28. What is the remainder when x is divided by 4?
3
Let a = 6 - -49. Calculate the remainder when a is divided by 28.
27
Suppose 0 = 4*t + 4*f + 4, 4*t = -f + 6*f + 41. Calculate the remainder when 13 is divided by t.
1
Suppose 0*d = 5*d - 10. Calculate the remainder when 7 is divided by d.
1
Let z(m) = m**3 + 11*m**2 - 3*m - 23. Calculate the remainder when z(-10) is divided by 18.
17
Suppose q = -2*q + 201. Suppose 2*t - 24 = -3*p, 4*t + t - q = -4*p. Calculate the remainder when t is divided by 8.
7
Let m(w) = -4*w + 62. Calculate the remainder when m(-5) is divided by 14.
12
Suppose -3*p - 3 = 0, -3*p = -7*g + 2*g + 18. Suppose -8 + g = w. Let z = w - -34. Calculate the remainder when z is divided by 10.
9
Suppose -3*q = -6, -16 - 2 = -4*h - 5*q. Suppose -3*i + 25 = h*i. Calculate the remainder when 8 is divided by i.
3
Let o = 36 - 18. Calculate the remainder when 33 is divided by o.
15
Let i be 2/4 + 3/2. Suppose 0 = -0*l + 3*l - 4*k - 36, i*k - 2 = -l. What is the remainder when 13 is divided by l?
5
Suppose -5*p + p = -8. Suppose 0 = 3*m - x - 63 + p, -4*m + 4*x = -76. What is the remainder when m is divided by ((-12)/5)/((-2)/10)?
9
Let t(o) = 2*o**2 - 5*o + 4. Suppose -4*x = -12 - 4. Calculate the remainder when t(3) is divided by x.
3
Let s(a) be the second derivative of -a**3/2 + 3*a**2/2 + 4*a. Calculate the remainder when 61 is divided by s(-6).
19
Suppose 11*v - 7*v + 16 = 0, 88 = 4*n - 4*v. Suppose -4*z + 66 = -2*z. What is the remainder when z is divided by n?
15
Let n(k) = k**2 - 4*k - 5. Suppose 0*u = 4*u - 5*x, -3*x = 5*u. Let i be (u - -2) + 4 + 1. Calculate the remainder when 30 is divided by n(i).
14
Let x = -10 - -16. Let d = 49 - x. Calculate the remainder when d is divided by 22.
21
Suppose 0 = -8*h + 10*h - 10. Suppose -p + h = 0, 2*w - 5 = -4*p + 5*p. Calculate the remainder when w is divided by 3.
2
Let z(b) = 3 - 1 + 0*b**2 + b + b**2. Let m be z(-2). Suppose 2*n + m*o + 14 = 3*n, 5 = 4*n + o. What is the remainder when 5 is divided by n?
1
Suppose -3*d + 9 = -2*d. Suppose -f + 0*f + 18 = -2*z, -f = 2*z - 34. What is the remainder when f is divided by d?
8
Let a(o) = o**2 - o. Suppose -1 - 5 = 2*y + g, -5*y = g + 21. Let m = -4 - y. Calculate the remainder when a(2) is divided by m.
0
Suppose -3*f + 39 = 3*p, -2*p + 2*f + 26 = 7*f. Suppose -3*a = -2*a - 25. Suppose -g + 12 + a = 0. Calculate the remainder when g is divided by p.
11
Calculate the remainder when 14 is divided by 16/(-56) - 116/(-14).
6
Let u = 27 - -11. Calculate the remainder when u is divided by 20.
18
Suppose -11*z + 16*z - 95 = 0. What is the remainder when z is divided by 10?
9
Suppose -2*s + 5*b - 5 = 0, b = 3*s + 5*b - 27. Suppose -q + 7 = 5*r - 0, -4*q - s*r = -13. What is the remainder when 2 is divided by q?
0
Let s = 16 + -48. Let f = s + 51. What is the remainder when f is divided by 10?
9
Let d(i) = -4*i + 20 + 0*i**2 - 34 + 5*i**2 - 6*i + i**3. What is the remainder when -38*(6/4)/(-3) is divided by d(-6)?
9
Let p = 2 - 2. Let u = 7 + p. What is the remainder when 18 is divided by u?
4
Suppose 4*m - 16 = 0, -7*m = -2*y - 2*m + 30. Calculate the remainder when 99 is divided by y.
24
Suppose 52 = -0*n - 4*n. Let s = n + 26. Let t(j) = j + 24. Calculate the remainder when t(0) is divided by s.
11
Let l = 36 + -16. Calculate the remainder when 39 is divided by l.
19
Let t(f) = -f**2 - 24*f + 24. Suppose 0 = -4*m - 3*w + 49, 0 = 3*w - 0*w + 15. Calculate the remainder when t(-23) is divided by m.
15
Suppose 2*v + 5*q = 27, 3*v - 6*v + 51 = -3*q. Calculate the remainder when v is divided by 9.
7
Let s = -142 + 229. Calculate the remainder when s is divided by 15.
12
Let t(j) = 23*j**2 - j. Let g(o) = -4*o**2 + 49*o - 13. What is the remainder when g(11) is divided by t(1)?
20
Suppose -w = -5 - 10. Let v = 48 - 5. What is the remainder when v is divided by (w/3)/(1/3)?
13
Suppose 2*l - 4*k - 40 = 34, 3*k + 96 = 3*l. Calculate the remainder when 79 is divided by l.
25
Suppose w + 2*q = 8, 12 + 7 = 4*w - 5*q. Calculate the remainder when 14 is divided by w.
2
Let a(q) = q**3 + 4*q**2 - 4*q + 2. Let x be a(-5). Let h(c) = 7*c**2 + c + 2. Calculate the remainder when (1/(-2))/(x/90) is divided by h(-1).
7
Suppose -3*h = -125 - 310. Calculate the remainder when h is divided by 49.
47
Suppose 0 = -8*z + 9*z - 19. Calculate the remainder when 56 is divided by z.
18
Let a = -5 + 30. Calculate the remainder when a is divided by 9.
7
Let p = -27 - -39. Let x be 82/8 + (-3)/p. Suppose l = -l + x. What is the remainder when l is divided by 2?
1
Let q(l) = 44*l. Let f be q(1). Suppose -f = -2*v - 5*a, 2*a + 4 = -v + 6*a. Calculate the remainder when v is divided by 7.
5
Let r(y) = y**2 - 5*y + 7. Let i be r(5). Suppose c - 3*l - 17 = i, -2*l = c - 4. What is the remainder when c is divided by (1*-1)/(1/(-7))?
5
Let x be 20/(-6)*42/(-35). Suppose x = f - 1. Calculate the remainder when 13 is divided by f.
3
Suppose -2*k + 45 = k. Calculate the remainder when 27 is divided by k.
12
Let b(j) = -7*j**2 - j - 1. Let v be b(-1). Let c(n) = -n - 5. Calculate the remainder when 2 is divided by c(v).
0
Suppose -z + 5*i = -5*z + 30, -3*i = -z - 1. Let f be -1*8 - (z + -6). Let j = f + 21. Calculate the remainder when j is divided by 5.
4
Suppose 0 = v - 2*n - 3*n - 24, 0 = -2*v + 3*n + 13. Let t(s) = -33*s. Calculate the remainder when t(v) is divided by 12.
9
Suppose 11*l - 6*l - 65 = 0. What is the remainder when l is divided by 3?
1
Let z(n) = n**3 - 5*n**2 - 4*n - 4. Suppose -4*w - 3*x + 77 - 28 = 0, 0 = 3*x - 9. Let s = w + -4. What is the remainder when 14 is divided by z(s)?
6
Let a be (1 - 0)/(-1) + 9. Let y(d) = d - 4. Let v(g) = g + 9. What is the remainder when y(a) is divided by v(-6)?
1
Suppose 2*w = 6*w + 5*j - 27, -4*w + 3*j + 3 = 0. Suppose -n = -w + 1. Calculate the remainder when n is divided by 1.
0
Let b(i) = -12*i - 1. Calculate the remainder when b(-2) is divided by 8.
7
Let f(l) = -l**3 + 9*l**2 - 8*l + 3. Calculate the remainder when f(7) is divided by 12.
9
Let u(o) = o**2 - 8*o + 2. Let d be u(8). Suppose 10 = 3*r - d*v + 1, 5*r - 37 = -4*v. Let l(b) = 2*b + 3. Calculate the remainder when l(r) is divided by 5.
3
Let b be -3*((-4)/2 + 56). Let d be 4/(-3*4/b). Let s = d - 37. Calculate the remainder when s is divided by 5.
2
Let w = -95 + 142. Suppose -83 = -4*a + 5*z + 13, a - 5*z = 24. What is the remainder when w is divided by a?
23
Suppose 0 = -m - 2 + 7. Suppose 3*a - 35 = m*t, -9 = -a - 0*t - t. Let c(x) = 4*x + 5. What is the remainder when c(6) is divided by a?
9
Let m = 10 - 8. Suppose o + 49 = m*a, a = -3*o + 22 - 1. Calculate the remainder when a is divided by 13.
11
Let b be ((-48)/(-14))/((-1)/(-7)). Let l be (-1)/((-2)/b) - 1. Suppose 5*p + r = l, -8 = -3*p - r - r. What is the remainder when 4 is divided by p?
0
Suppose 2*q = -3*q + 5*w + 15, -5*w - 9 = -2*q. Suppose 7 = 2*h - 1. Suppose -h*o + q = -2*k + 72, 0 = -2*o. What is the remainder when k is divided by 9?
8
Let p be 2/(-4) - (-14)/4. Suppose -4*j + 2*j + 35 = p*v, -5*j - 4*v + 98 = 0. Calculate the remainder when j is divided by (6/(-5) + 2)*15.
10
Calculate the remainder when (-12)/(-18) + (-61)/(-3) is divided by 11.
10
Let b be ((-3)/(-1))/(3/4). Suppose 4*d - 3*o - 6 - 8 = 0, d + b*o + 6 = 0. Let k = 1 + 0. Calculate the remainder when d is divided by k.
0
Suppose -2*c + 0*c = -4. Let n(q) = 10*q - 3. Calculate the remainder when 33 is divided by n(c).
16
What is the remainder when 4*6/8 + 60 is divided by 11?
8
Let p(h) = 7*h. Let y(s) = s + 9. Let b be y(-6). Suppose b*g + 2*w + 9 = 2*g, -3*g - 5*w - 22 