-i + 3*i = 2*y + 24, 5*i + w*y - 60 = 0. What is the remainder when i is divided by 7?
5
Let v(y) = -y**3 + 6*y**2 + 8. Let r(g) = g**2 - 4*g + 5. What is the remainder when v(6) is divided by r(4)?
3
Suppose r - 6*r - 4 = -4*f, f - 2*r - 1 = 0. Calculate the remainder when 0 + 1 - (-15 + f) is divided by 8.
7
Suppose 2*k = -2*z + 54, -3*z = -4*k - 4*z + 102. Suppose 0 = 2*c - 22 - 6. Calculate the remainder when k is divided by c.
11
Calculate the remainder when 24 is divided by (7/(-2))/((-5)/10).
3
Calculate the remainder when 1024/10 - (-33)/55 is divided by 21.
19
Let p(u) = 25*u**2 + 2*u + 1. Let l be p(2). Suppose -c + 2 + 1 = 0, -5*c - l = -5*a. Calculate the remainder when 45 is divided by a.
21
Suppose -2*c = -t + 3*c + 146, 0 = -5*t + c + 682. Calculate the remainder when t is divided by 23.
21
Let i = 1 + -1. Let n be i + 0 - (-53 + 4). Let z = n - 2. Calculate the remainder when z is divided by 16.
15
Let q(a) be the first derivative of a**3/3 - a**2/2 - 5*a + 3. Calculate the remainder when q(-4) is divided by 4.
3
Let p be (-10)/(-15) + 70/3. Calculate the remainder when 39 is divided by ((-16)/p)/(2/(-42)).
11
Let t be (-1370)/(-85) + 4/(-34). Let u(v) = 2*v - 1. Calculate the remainder when u(t) is divided by 8.
7
Suppose 0 = i + 5*y + 8, -5*y = -2*y + 6. Suppose 0 = 2*r + i*x - 22, 2*r + 3*x - 10 = -2*x. What is the remainder when 27 is divided by r?
12
Let a = 123 - 117. What is the remainder when 23 is divided by a?
5
Let y(i) = -i + 5. Let o be 3/(-2)*112/24. Calculate the remainder when y(o) is divided by 7.
5
Let j = 66 - 24. Suppose 0 = 3*a - 3*h - 12, 0 = -2*a + 2*h - 5*h + 8. Suppose 5*f - 2*n - 114 = -n, 0 = n + a. What is the remainder when j is divided by f?
20
Let x(k) = k**3 + 1. Let l = 1 + 5. Suppose 5*b = l*b - 1. What is the remainder when x(b) is divided by 2?
0
Suppose -3*z = -3*d - 9, -z = -5*d + 3*z - 10. Let s = 1 - d. Let b = s + 4. Calculate the remainder when 8 is divided by b.
2
Suppose 5*o + 52 = 3*w, 4*o - 5*w + 26 = -13. Let z = o - -22. Let t(c) = c + 21. Calculate the remainder when t(0) is divided by z.
10
Suppose -5*c + 40 = -5*t, t = -3*c + 22 + 18. Let b = -7 + c. Suppose b*k - 7 = 8. Calculate the remainder when 8 is divided by k.
2
Let g = 36 - 26. Calculate the remainder when 18 is divided by g.
8
Let m = -19 - -30. Let d = 49 - m. Calculate the remainder when d is divided by 20.
18
Suppose w - 435 = -2*w. Suppose -5*s + w = 40. Calculate the remainder when 41 is divided by s.
20
Let k(d) = 5*d - 10. Let s(r) be the second derivative of -r**5/20 - r**4/12 - r**3/6 + 7*r**2 - 2*r. Calculate the remainder when k(10) is divided by s(0).
12
Suppose -44 + 16 = -2*q. What is the remainder when 54 is divided by q?
12
Suppose -3*z = 4*z - 21. What is the remainder when 9 is divided by z?
0
Let n(w) = -w**2 - 5*w + 3. Let p be n(-3). Let f = p - -12. What is the remainder when f is divided by 6?
3
Suppose -2*z = 5*x - 159, 3*x = 4*x + 4*z - 39. Calculate the remainder when x is divided by 11.
9
Let n be (-50)/(-40) + 2/(-8). Suppose 14 = 3*f + 2*l + 3*l, 0 = f - 4*l + n. Calculate the remainder when 10 is divided by f.
1
Let q(m) = 86*m + 10. Let g(j) = 17*j + 2. Let c(d) = 11*g(d) - 2*q(d). Suppose -32 = -3*x + 19. What is the remainder when c(2) is divided by x?
15
Let t be 1*-2*(-99)/(-18). Let q = 12 + t. Calculate the remainder when 1 is divided by q.
0
Let x = 18 - 11. Calculate the remainder when x is divided by 4.
3
Let w(l) = 4*l + 31. What is the remainder when 9 is divided by w(-7)?
0
Suppose 5*b - 23 - 17 = 0. Suppose -5*s = i - 3*s - 6, 1 = s. Calculate the remainder when i/(-10) - (-72)/5 is divided by b.
6
Let z = -1 + 5. Let n be ((-8)/6)/(z/(-6)). Suppose 0*j = -j - n, -j - 17 = -f. What is the remainder when 44 is divided by f?
14
Let t(c) = -c - 4. Let z be t(-2). What is the remainder when 48 is divided by (-2)/z*(9 + 4)?
9
Let z be (4 - 5)*(0 + -9). Let t = 35 + z. Suppose 6*l - t = 2*l. What is the remainder when 19 is divided by l?
8
Suppose -4*y + 92 = -0*y. Calculate the remainder when y is divided by (6*-1)/((-3)/4).
7
Let j be -3*-3*(-2)/3. Let r be -3*(-1 - (-2)/j). Calculate the remainder when 111/6 + 2/r is divided by 10.
9
Suppose -3*m = m - 3*t - 286, m - 65 = 4*t. Suppose 7*y + 75 = 10*y. What is the remainder when m is divided by y?
23
Let h = -1 - -6. Calculate the remainder when 12 is divided by h.
2
Calculate the remainder when (43 + -1)*(-11)/(-33) is divided by 9.
5
Suppose -3*r = -46 - 41. Suppose -t = 3*d - 27, -5*d + 0*d + t = -53. What is the remainder when r is divided by d?
9
Let j = -3 + 7. Let x = -2 + j. Suppose -2*h + 8 + x = 0. Calculate the remainder when 9 is divided by h.
4
Suppose 2*s = l + 45, s + 9 = -l + 24. Calculate the remainder when s is divided by ((-3)/(-6))/((-6)/(-132)).
9
Suppose 4*u - 12 = 8. Let y(d) = 2*d + 5. Let h(v) = 2*v + 5. Let a(j) = 6*h(j) - 5*y(j). Calculate the remainder when a(4) is divided by u.
3
Let n(f) = f**3 - 11*f**2 + 10*f + 14. Calculate the remainder when n(10) is divided by 4.
2
Let l = 34 + -26. What is the remainder when 31 is divided by l?
7
Let p = 81 + -50. Calculate the remainder when (60/(-90))/(1/(-90)) is divided by p.
29
Let o = 53 - 46. Calculate the remainder when 9 is divided by o.
2
Let u be 2 + (-3)/(2 + 1). Calculate the remainder when 19 is divided by (5/1)/(u/2).
9
Let n = -4 + 52. What is the remainder when n is divided by 5?
3
Suppose 4 = -2*d + 12. Let r = d - -22. Calculate the remainder when 50 is divided by r.
24
Let r(f) = 19*f + 2. Suppose -36 - 330 = -6*u. Calculate the remainder when u is divided by r(1).
19
Let j(n) = 3*n**2 - 4*n - 4. What is the remainder when j(-3) is divided by 12?
11
Let b(u) = 1 - 7*u**2 + 25*u**2 + u - 3 + 1. What is the remainder when 61 is divided by b(-1)?
13
Let d(g) = 2*g. Let s be d(2). Suppose -s*r = -r. Let v = 6 - r. What is the remainder when 11 is divided by v?
5
Let m(h) = h**3 - h**2 + h + 10. Let q be m(0). Suppose 0*b - b + 4 = 0, 0 = -3*f - b + q. Calculate the remainder when 35 is divided by (2 - 1) + f + 6.
8
Calculate the remainder when 3 is divided by 7/4 - 6/8.
0
Let n(y) = y**2 + y - 12. Calculate the remainder when 35 is divided by n(-6).
17
Let v = 15 + 60. Suppose v - 20 = 5*w. What is the remainder when w is divided by 7?
4
Let j(v) = 2*v**2 - 2*v - 2. Let h be j(-2). What is the remainder when ((-2 - -5) + 2)*h is divided by -2 + (-34)/(-2) - -2?
16
Suppose 0*i = -i + 32. What is the remainder when i is divided by 17?
15
Let c(d) be the first derivative of 17*d**4/4 - d**3/3 - 2. What is the remainder when 6/4*(-310)/(-15) is divided by c(1)?
15
Let u = -39 - -45. Calculate the remainder when 16 is divided by u.
4
Suppose 0 = -4*l + 8, l - 12 + 4 = -3*o. Let x = o + 17. Let j = 115 - 59. What is the remainder when j is divided by x?
18
Let z = -57 - -15. Let u = -21 - z. Calculate the remainder when 41 is divided by u.
20
What is the remainder when 3/(-12) + 482/8 is divided by 16?
12
Let k = -34 + 60. Calculate the remainder when k is divided by 9.
8
Let s(t) = -t + 5. Let g(j) = j**2 - j + 4. What is the remainder when s(-10) is divided by g(0)?
3
Let k be 20 + -1 + 1 + 2. Suppose -3*i + 0*j + k = 4*j, 3*i = j + 47. What is the remainder when 2/(-6) - 242/(-6) is divided by i?
12
Let x = -43 + 76. What is the remainder when x is divided by ((-12)/(-7))/(4/28)?
9
Let r(h) = 4*h**3 + h. What is the remainder when 9 is divided by r(1)?
4
Let y(k) = k**3 + 8*k**2 + 5*k - 4. Suppose q - 15 = 13. What is the remainder when q is divided by y(-7)?
8
Let f be (8*(-1 - -3))/2. Suppose -f*c = -3*c - 270. What is the remainder when c is divided by 14?
12
Let o = -23 + 36. Calculate the remainder when 45 is divided by o.
6
Suppose -57 = -3*j + 63. Suppose 3*m + 4 = j. Calculate the remainder when m is divided by (-37)/(-5) + 4/(-10).
5
Let i = -19 + 60. Calculate the remainder when i is divided by 22.
19
Calculate the remainder when 23 is divided by (1 - (-27)/6) + 1/(-2).
3
Suppose 5*z + 4*a + 8 = 0, -6*z - 8 = -2*z + 4*a. Suppose z*s + s = 20. Calculate the remainder when s is divided by 11.
9
Suppose 76*i - 83*i = -371. What is the remainder when 206 is divided by i?
47
Let h be (-12)/4*(2 - 1). Calculate the remainder when 7 - (-2)