ulate the remainder when 47 is divided by j.
21
Let s(b) be the second derivative of -b**3/6 + 11*b**2/2 + 3*b. What is the remainder when 5 is divided by s(7)?
1
Suppose 0 = 4*y + 4*r - 44, y = r + 26 - 5. What is the remainder when 30 is divided by y?
14
Suppose -3*r - 13 = -112. Let v(l) = -l**2 - l + 12. Let z = 3 - 3. Calculate the remainder when r is divided by v(z).
9
Suppose 5 = 6*z - 7. What is the remainder when 9 is divided by z?
1
What is the remainder when 49 is divided by (52 + 0)/(4 + -2)?
23
Let z(j) = -j**2 - 5*j - 5. Let n be z(-4). What is the remainder when 0 + n/(3/(-111)) is divided by 19?
18
Suppose 44 = -5*q - 16. Let u = -20 - q. Let r = u - -33. What is the remainder when r is divided by 9?
7
Let f be 0 - (-1 + 1) - -15. Suppose 3*o = -0*o + f. Suppose 0 = -r + o*r - 76. Calculate the remainder when 37 is divided by r.
18
Let r = 18 - 13. Suppose o + 0*n - 22 = 4*n, 0 = 5*o - 4*n - 30. Calculate the remainder when r is divided by o.
1
Suppose 44 = t + 4*t - 4*i, -5*t + 48 = -3*i. Let p be (-36)/8*(-2 + 0). Suppose 3*o - 96 = p. What is the remainder when o is divided by t?
11
Let l = 23 + 1. Suppose 13 + 13 = -2*d. Let b = d + l. What is the remainder when b is divided by 4?
3
Suppose 2*n = -i - 10, 5*n + 32 = -5*i + 7. Suppose -4*p - 37 = -3*s, -16 = -s + 5*p - i*p. What is the remainder when s is divided by 7?
4
Let d be 0/(-1 - (-1)/(-1)). Suppose w + w - 48 = d. Calculate the remainder when w is divided by 13.
11
Suppose 15*i - 630 = 5*i. What is the remainder when i is divided by 16?
15
Let q = 19 + 0. Let k = q - -45. Calculate the remainder when k is divided by 22.
20
Let x = 2 - -15. Calculate the remainder when x is divided by 5.
2
Suppose 2*q = -4*l + 16, 3*q + 5*l - 1 = 19. Suppose 2*z + 2*i - 110 = 0, q = 2*i + 2*i - 8. What is the remainder when z is divided by 18?
17
Let s(w) = -w**3 + 5*w**2 + 2*w - 7. Let n = -6 - -11. Let t be s(n). Calculate the remainder when 23 is divided by ((-16)/(6/t))/(-1).
7
Let h = 37 - -20. What is the remainder when h is divided by 5?
2
Let t = -2 + 11. Suppose 2*v - 5*v + 63 = -4*g, 0 = 5*v + 4*g - 105. Calculate the remainder when (-6)/t - 376/(-6) is divided by v.
20
Let w be -2 - (-39 - (3 - 4)). Let k = w - 50. Calculate the remainder when (-158)/k + 8/(-28) is divided by 3.
2
Suppose -8*r = -5*r. Suppose 6*p - 139 - 23 = r. What is the remainder when 53 is divided by p?
26
Let s = -2 + 3. Suppose w - b + 2*b - 5 = 0, 3*b - 15 = w. Suppose p = 3*n - 6, -5*n = -w*p - 2*p - 10. Calculate the remainder when n is divided by s.
0
Suppose -3*o + 5 = -f, 1 + 3 = 4*o - 4*f. Suppose o*w = 3*u + 42, -4*w + 52 = -0*u + 2*u. Calculate the remainder when 43 is divided by w.
13
Calculate the remainder when ((-2)/4*-1)/(1/248) is divided by 32.
28
Let i be (4/(-8))/((-2)/84). Let c = i - 14. Calculate the remainder when c is divided by 2.
1
Let i = 14 - -1. Calculate the remainder when 57 is divided by i.
12
Let a = -11 + 30. What is the remainder when 35 is divided by a?
16
Let m(p) = 9*p**2 - p + 4. Calculate the remainder when m(2) is divided by 14.
10
Let y(i) = i**3 + 6*i**2 - 9*i + 2. Let r be y(-7). Let p = r + -5. What is the remainder when 31 is divided by p?
9
What is the remainder when ((-1 - -2)*9)/1 is divided by 6?
3
Suppose -6*o + o = 5. Calculate the remainder when 2 - o - 8*-1 is divided by 6.
5
Let x = 19 - 7. Let s = 18 + 39. Let v = s + -22. Calculate the remainder when v is divided by x.
11
Let j(s) = s - 4. Let v be j(6). Suppose -v*d + 12 = -8. What is the remainder when 29 is divided by d?
9
Let q = -55 - -92. Calculate the remainder when 72 is divided by q.
35
Let s(t) = -t**3 - 12*t**2 + 10*t - 19. What is the remainder when 77 is divided by s(-13)?
17
Suppose 4*z + 232 = 8*z. Calculate the remainder when z is divided by 12.
10
Suppose 0 = -f + 102 - 12. Let q = f + -55. Let j = -32 + 44. What is the remainder when q is divided by j?
11
Suppose -2*f + 4*l + 80 = 3*f, -3*f + 4*l = -56. What is the remainder when 34 is divided by f?
10
Suppose 0 = 2*i - i + 5. Calculate the remainder when 47 is divided by 1 + -1*3*i.
15
Let q(m) = -m**2 - 3*m - 1. Let a be q(-3). Let h = 1 - a. Suppose -h*j + 41 = -w, 5*w = -5*j + 6*w + 98. Calculate the remainder when j is divided by 10.
9
Let z(i) be the third derivative of -i**5/60 + 22*i**3/3 - 2*i**2. Let b = 46 + -31. Calculate the remainder when z(0) is divided by b.
14
Let j(r) = r**3 - 5*r**2 - 7*r + 6. Let b be j(6). Suppose b = 6*d - 5*d - 8. Let h = -6 + d. Calculate the remainder when 5 is divided by h.
1
Calculate the remainder when 94 is divided by -4 + (-76)/(-20) - (-101)/5.
14
Suppose -4*z = -0*j + 2*j + 14, -j - 9 = 4*z. Let a = 13 - j. What is the remainder when a is divided by 7?
4
Suppose 4*l - 2*l = 20. Let w = 0 + -1. Calculate the remainder when 2 - (-28 - (w + 0)) is divided by l.
9
Let a = 2 - -13. Calculate the remainder when (a - (-6)/(-2)) + -2 is divided by 7.
3
Let r(t) = -9*t**2 + 6*t - 3. Let i(d) = 3*d**2 - 2*d + 1. Let u(g) = -17*i(g) - 6*r(g). What is the remainder when 35 is divided by u(2)?
8
Calculate the remainder when 85 is divided by 33*(4 + (-20)/6).
19
Let u(x) = -3*x. Let y be u(-3). Suppose 3*l = 6*l + y. Let v(s) = -s**3 - 2*s**2 - 2. What is the remainder when 20 is divided by v(l)?
6
Let g = 39 + 5. What is the remainder when g is divided by 8?
4
Let j be 1/1 + 8/(-4). Calculate the remainder when 25 is divided by 5 - -4 - (-1 - j).
7
Let u(g) = -g**3 + 8*g**2 - 7*g + 1. Calculate the remainder when u(5) is divided by 22.
19
Let g = 0 - 5. Suppose y + 5*k = 1, 0 = -y + 3*k + 2 - 1. What is the remainder when (-5)/(-3) - g/15 is divided by y?
0
Suppose 0 = -2*d + 62. Calculate the remainder when d is divided by 8.
7
Let r = 66 + -98. Let i = r - -53. What is the remainder when i is divided by 12?
9
Let n = 23 + 2. What is the remainder when n is divided by 14?
11
Let y(x) = x**3 + 7*x**2 + 6. Let r be y(-6). Suppose 3*d - 65 = -2*u, -4*d + 50 = 4*u - r. What is the remainder when 74 is divided by d?
17
Let s = -16 + 48. What is the remainder when s is divided by 18?
14
Let a(w) = -4*w + 1. Let f be a(-1). Suppose -f = 2*k - 15. Calculate the remainder when 13 is divided by k.
3
Suppose b + 4*l = 3, -95 = -5*b + 5*l - 5. What is the remainder when 73 is divided by b?
13
Suppose 0 = 2*a, 4*w + 0*a = -2*a + 296. Calculate the remainder when w is divided by 15.
14
Let s be 4/10 - (-946)/110. Suppose 12 = 5*h - 0*b + b, 0 = -3*b - s. What is the remainder when 2 + -1 - -3*1 is divided by h?
1
Suppose 0 = 2*z - 73 - 47. Calculate the remainder when z is divided by 22.
16
Suppose -u - 2*c - c - 5 = 0, -3*u = 5*c + 3. What is the remainder when 9 is divided by u?
1
Suppose 4*b = -0*b - 12. Calculate the remainder when (-11 - b)*22/(-8) is divided by 12.
10
Suppose 0 = -4*m + r - 251, -2*r - 271 = 4*m + r. Let q = -79 - -118. What is the remainder when (q/2)/((-24)/m) is divided by 18?
16
Let r = 5 + -5. Suppose -5*k = -5*v + 65, -5*v = k - r*k - 65. What is the remainder when 25 is divided by v?
12
Let s(q) = 5*q - 20*q - 13*q + 1. Suppose a - 5 = 0, 0 = -2*g + a + 4*a - 5. What is the remainder when s(-1) is divided by g?
9
Let h = 13 + -8. Let y(i) = 5*i - 1. What is the remainder when 46 is divided by y(h)?
22
Let o(f) be the third derivative of f**5/4 + f**4/24 - f**3/6 - 3*f**2. Calculate the remainder when o(1) is divided by 8.
7
Let g(c) = -c**3 + 12*c**2 + 15*c - 19. Calculate the remainder when 25 is divided by g(13).
4
Suppose -3*k - 2*k - 17 = d, -2*d + 2*k = -14. What is the remainder when 2/(0 + -2) + 10 is divided by d?
0
Let d be 187/3 - 1/3. Suppose -5*k = -d - 58. Calculate the remainder when k is divided by 13.
11
Let g be (-6)/(-1)*(-104)/(-12). Let r = 86 - g. Calculate the remainder when r is divided by 18.
16
Let x be 1 + -24 - (1 + -4). Calculate the remainder when x/(-6)*(-120)/(-50) is divided by 2.
0
Let r = 21 - 9. Let z = r - -5. Calculate the remainder when 49 is divided by z.
15
Suppose -5*s + 72 = -w, -s - 4*w = -4*s + 50. Calculate the remainder when 68 is divided by s.
12
Let q(l) = -l**3 - 7*l**2 + 2*l - 5. Suppose -v + 3*v = -16. Let z = 13 - -2. Calculate the remainder when q(v) is divided by z.
13
Let y be 340/14 + 2/(-7). Suppose 0*q = 3*q - y.