What is the remainder when s(-5) is divided by b?
24
Suppose -3*r - 75 = -3*j, 3*j - r - 68 - 7 = 0. Calculate the remainder when (12/15)/(2/j) is divided by 0/(-1) + (-2 - -6).
2
Let s(x) = 15*x**2 - x. Suppose 0 = 3*u + u - 12. Suppose -u*t = -2*t - 31. What is the remainder when t is divided by s(-1)?
15
Let s(x) = -x + 3. Let j be s(3). Suppose 1 = 4*r - 7. Suppose j = 4*m - r*k - 3 - 45, k = -4. What is the remainder when 27 is divided by m?
7
Let n be ((-2)/5)/((-2)/(-10)). Let h(g) = 4*g**2 - 3*g - 1. Calculate the remainder when h(-2) is divided by n/(-4)*-2 - -12.
10
Suppose 9*m - 20 = 7*m. Calculate the remainder when 58 is divided by m.
8
Suppose -5*w = j - 52, 4*j = -5*w + 203 + 80. Suppose 2*p = -5*l + j - 26, 2*p + 37 = 3*l. Calculate the remainder when l is divided by 6.
5
Calculate the remainder when (5 - -152) + 5*-1 is divided by 26.
22
Suppose 27*l - 28*l + 159 = 0. Calculate the remainder when l is divided by 27.
24
Suppose -g = 5, -q + 2*g + 153 = -g. Let h = -70 + q. What is the remainder when h is divided by 1/3 - 68/(-3)?
22
Suppose -4*h + 4*j = -44, 0*h = -2*h + 3*j + 17. Calculate the remainder when 31 is divided by h.
15
Suppose -k = -34 - 32. Let w = k + -17. Suppose -40 = -5*z + 45. What is the remainder when w is divided by z?
15
Let w = -33 + 21. What is the remainder when (4/3)/(w/(-54)) is divided by 3 - (-1 + (0 - 0))?
2
Let v(m) = 3*m + 1. Calculate the remainder when 65 is divided by v(7).
21
Suppose -2*c + 0 - 6 = 0. What is the remainder when (-4)/((c/(-27))/(-1)) is divided by 19?
17
Suppose -34 = -5*l + 3*h - 0*h, -4*l + 5*h = -22. What is the remainder when 23 is divided by l?
7
Suppose o = 5*o + 5*x - 20, 2*x = o - 18. What is the remainder when -1*28/(1/(-1)) is divided by o?
8
Suppose -223 = -5*k - 53. What is the remainder when 98 is divided by k?
30
Let a(g) = g**3 + 5*g**2 - 5*g + 8. Let f be a(-6). Suppose 2*z = -2 - f, 0 = -4*u + z + 34. Calculate the remainder when 17 - (2 - (-1 - -1)) is divided by u.
7
Let u be (-23 + -2)*3/(-5). Let s = -3 + u. What is the remainder when s is divided by 7?
5
Suppose -5*u + 15 = 0, -5*c + 7*u = 2*u - 95. Suppose 2*t = -2*t + 16, -y = -t + 12. Let q = c + y. What is the remainder when 41 is divided by q?
13
Suppose -n + 91 = 3*d - 177, -3*d + 278 = -4*n. What is the remainder when d is divided by 31?
28
Suppose -2*q + 3*i + 11 = 0, i - 2*i + 43 = 4*q. Let l(s) be the third derivative of -s**4/4 - s**3 + s**2. Calculate the remainder when l(-4) is divided by q.
8
Let v be (1 - 2) + (-28)/(-1). Suppose 2*h - v = -h. Suppose 415*r = 414*r + 16. Calculate the remainder when r is divided by h.
7
Let j be 10/3*108/45. Let t = j + 7. What is the remainder when 57 is divided by t?
12
Suppose -4 = z, 5*z = -10*s + 5*s - 20. Suppose 4*g = y - 10, -y - 3*g + 5 + 12 = s. Suppose 0 = 3*i - y - 28. Calculate the remainder when i is divided by 4.
2
Let j(m) = m**3 - m**2 - m + 25. Let x(s) = -s**3 + s**2 + 33. Let z be x(0). Suppose z = 4*k - 3. What is the remainder when j(0) is divided by k?
7
Suppose -5 = k - 5*b, -k = -4*k - b + 17. Calculate the remainder when 19 is divided by k.
4
Suppose 0*s - 4*b - 7 = -s, -8 = -4*b. Let t = 16 + -8. Calculate the remainder when s is divided by t.
7
Suppose 3*m = 4 + 2. Calculate the remainder when (m/(-2))/(2/(-52)) is divided by 14.
12
Calculate the remainder when 39 is divided by 59/6 - 2/(-12).
9
Let v = 46 - 39. Calculate the remainder when 25 is divided by v.
4
Let j = -127 - -155. Suppose 3*r - 31 + 1 = 0. What is the remainder when j is divided by r?
8
Let b(l) = 13*l**2 - l - 1. Suppose 2*h = 8 - 10. What is the remainder when 49 is divided by b(h)?
10
Let t be 12/(-18) - 8/(-3). Suppose -5*i + t*b = -239, 0 = 3*i - 8*i - 4*b + 227. Let y = 39 + -23. Calculate the remainder when i is divided by y.
15
Let a = 1 + 14. Suppose t = -4*o - 7, -3*o = -4*o - 4*t + 2. What is the remainder when (-6)/(o*(-12)/(-176)) is divided by a?
14
Suppose 0 = 3*f - 5*f + 28. Let x(g) = -g**2 - 12*g + 5. What is the remainder when x(-6) is divided by f?
13
Let r(c) = 4*c - 2. Let d be r(7). Suppose b + 23 = 2*j, 5 = -3*b - 3*j - 37. Let g = b + d. Calculate the remainder when 26 is divided by g.
8
Let q(f) = 10*f - 5. Calculate the remainder when q(2) is divided by 6.
3
Suppose -p + 10 = -3*p. Let r = p - -15. Calculate the remainder when 38 is divided by r.
8
Let k = 29 - 8. What is the remainder when k is divided by 12?
9
Let i(g) = -g**3 + 6*g**2 + 8*g - 4. Let f be i(7). Suppose 5*y + 0*t + t - 102 = 0, -57 = -f*y - 2*t. Calculate the remainder when 61 is divided by y.
19
Let z(x) be the first derivative of -2*x**2 - 4*x + 5. What is the remainder when z(-5) is divided by 6?
4
Let q = 7 + -4. What is the remainder when q is divided by (1 + (-6)/4)*-2?
0
Let l = 5 - -6. Suppose 5*d + c - 150 = 0, 4*d - 4*c - 109 = 35. Calculate the remainder when d is divided by l.
9
Let s(y) = -6*y + 2*y - 108 + 107 + 3*y + 31*y**2. What is the remainder when 121 is divided by s(-1)?
28
Let k = -1 + 1. Suppose u = 5*p + 4, -6*p = -3*p. What is the remainder when ((-22)/(-2))/(1 - k) is divided by u?
3
Let k(v) = v**3 + 5*v**2 - 8*v - 7. Let r be k(-6). Suppose i = r*p - 318, -201 = -4*p + 4*i + 47. What is the remainder when p is divided by 11?
9
Suppose 3*k - 72 = g - 4*g, g - k = 34. Suppose 5 = 2*u - g. What is the remainder when u is divided by 6?
5
Let c(y) = 4*y + 51. What is the remainder when 215 is divided by c(-5)?
29
Suppose 2*p = 7*p + 2*w - 75, w = -5*p + 75. Suppose 4*m + 4*g - 204 = 0, -4*m + g = 2*g - 216. Let f = m + -27. What is the remainder when f is divided by p?
13
Suppose -6*k + 2*k + 156 = 0. Calculate the remainder when k is divided by 14.
11
Let d = 8 + -2. Suppose 0 = -5*l - u - 2, -5*u = -4*l - 2*u + d. Suppose -s + 2*p + 14 = -l*p, 0 = -3*p + 6. Calculate the remainder when s is divided by 10.
8
Let q(i) = -16*i - 1. Calculate the remainder when 92 is divided by q(-2).
30
Let d = 3 + -5. Let c = 27 + d. What is the remainder when c is divided by (4/4)/(2/18)?
7
Suppose -4*k = -2*k - 34. Calculate the remainder when k is divided by 5.
2
Suppose -2*z + 8 - 4 = -b, 5*b - 10 = 0. What is the remainder when 11 is divided by z?
2
Suppose -58 = -5*g + a, 2*g - 3*g + 2*a + 17 = 0. Calculate the remainder when g is divided by 4.
3
Let x(w) = w**2 + 6*w - 28. What is the remainder when x(7) is divided by 16?
15
Calculate the remainder when 11 is divided by 7 - (2 + -1 - 0).
5
Suppose 488 = p + 7*p. Calculate the remainder when 240 is divided by p.
57
Suppose -30 = -y - y. Calculate the remainder when y is divided by 8.
7
Calculate the remainder when -50*((-64)/20)/4 is divided by 11.
7
Let g = -13 + 23. Let c be 54/g - 6/15. Suppose 2*i - c*i = -24. Calculate the remainder when i is divided by 3.
2
Let p(c) = -c**3 + 23*c**2 - 21*c - 13. What is the remainder when 10 is divided by p(22)?
1
Suppose -2*v + 76 = 256. Let h = 154 + v. What is the remainder when h is divided by 22?
20
Suppose 60 = 2*p - 2*y, -p = 2*p + 5*y - 58. What is the remainder when p is divided by 6?
2
Suppose 3*q = 5*q - 68. Let s = 1 + -1. Let o = s + q. Calculate the remainder when o is divided by 18.
16
Suppose 7*x - 43 - 62 = 0. Calculate the remainder when x is divided by 3/((-6)/(-4) + -1).
3
Let l(f) = 6*f**2 - f + 1. Let z be l(1). Suppose 0 = i - 5*b + 40, -z = -4*b - 22. Calculate the remainder when 22 is divided by ((-2)/5)/(3/i).
6
Calculate the remainder when ((-20)/(-3))/(8/12) is divided by 4.
2
Let a(o) be the second derivative of 0 - 2*o - 5/6*o**3 + 2*o**2. What is the remainder when 56 is divided by a(-3)?
18
Suppose -4*y - 30 = -i + 38, 2*y = i - 62. Let o be (-2)/4 + (-58)/4. Let c = o + 34. What is the remainder when i is divided by c?
18
Let u(n) = n + 4. Let t be u(0). Suppose 0*j - t*j + 48 = 0. What is the remainder when j is divided by (10/(-4))/((-3)/6)?
2
Let s = -1 + 8. Calculate the remainder when 8 is divided by s.
1
Let f(t) be the third derivative of -t**6/120 - t**5/10 - t**4/4 + t**3 + 5*t**2. Suppose 2*w - 41 = w. What is the remainder when w is divided by f(-5)?
8
Let y = -237 - -548. Let v = -208 + y. Suppose v = 5*c + 2*u, 4*c + u + u = 82. Calculate the remainder when 40 is divided by c.
19
Suppose 14 = -4*r + 38. Suppose -3