 8. Calculate the remainder when d is divided by 16.
13
Let j(v) = -3*v**2 + 4*v - 2. Let k(n) = n**2 - n. Let m(w) = j(w) + 4*k(w). What is the remainder when 4/6 - (-3 - (-444)/(-9)) is divided by m(4)?
11
Let g(k) = 7*k**2 - 3*k + 4. Let z = 138 - 123. Calculate the remainder when g(3) is divided by z.
13
Let x be (-2)/(-4) - 7/(-2). Suppose 3*h - 4*t = -5, -h - x + 14 = t. Suppose -105 = -h*u - 40. Calculate the remainder when 37 is divided by u.
11
Suppose 4*c - 8*c + 72 = 0. What is the remainder when 53 is divided by c?
17
Suppose 0 = -5*a + 100 - 25. Suppose -4*s = -s - 129. What is the remainder when s is divided by a?
13
What is the remainder when 61 is divided by (-138)/45*-5 - 2/(-3)?
13
Let z be (-118)/3 + (-6)/(-18). Let y(l) = l - 9. Let p be y(7). Calculate the remainder when (z/p)/(6/8) is divided by 14.
12
Suppose 0 = 4*o + 4*p - 40, 5*o + 3*p - 12 = 36. Calculate the remainder when o is divided by 7.
2
Suppose 0 = -4*f + 3*t + 43, -4*f - 3*t + 28 = -9. What is the remainder when 28 is divided by f?
8
Suppose -z - 3*f + 1 = 7, 4*z + 5*f = 4. Let d = z + -11. Let y = d - -15. Calculate the remainder when 28 is divided by y.
8
Suppose -3*b + 24 = -3*c, -4*b + 25 = -2*c + 3. Suppose 22 + 50 = 5*o + 4*x, 2*x = 3*o - 30. Calculate the remainder when (-28)/(-4)*b - -2 is divided by o.
11
Let w(i) = -i**2 - 11*i + 4. Suppose 0*u = -u - 8. Let r be u - (2 + -3 + 0). Calculate the remainder when w(r) is divided by 11.
10
Suppose 2*i + 5*s - 224 = -36, 0 = 2*i - 3*s - 220. What is the remainder when i is divided by 21?
20
Let n(v) = v**2 - 2*v + 2. What is the remainder when 67 is divided by n(4)?
7
Suppose -4*w = -d + 9, -d - 5*w + 1 + 8 = 0. Suppose -3*n = d - 24. What is the remainder when n is divided by 3?
2
Suppose l + 7 = -5*f + 1, 0 = -2*l + f - 1. Let r(b) = -17*b + 1. Let t be r(l). Let z = t - 9. Calculate the remainder when 16 is divided by z.
7
Let o(b) = b**2 + 4*b - 7. Let n be o(-3). What is the remainder when 23 is divided by n/35 + 44/7?
5
Let b(k) = -k**2 + 5*k + 5. Suppose 0 = -6*l + l + 25. Calculate the remainder when 18 is divided by b(l).
3
Let c = -6 + 23. Suppose 0 = -4*y - 4*w + 196, 3 = -2*w + 5*w. What is the remainder when y is divided by c?
14
Let g = -4 - -7. What is the remainder when 29 is divided by g?
2
Suppose -w - 30 = -158. Suppose -2*f = 2*f + 4*h - w, h - 90 = -3*f. What is the remainder when f is divided by 10?
9
Let k(o) = -o**3 + o + 4. Let l(c) = c + c - 3*c + 3. Calculate the remainder when k(0) is divided by l(0).
1
Let a(y) = 2*y**2 + 19*y**2 - 2*y + 3*y. Let q be a(1). Suppose -4*c + 11 = -3*j, c + c - q = -4*j. What is the remainder when 9 is divided by c?
4
Let f(k) = 2*k + 10. Let h be f(9). Suppose -82 + h = -3*d. What is the remainder when 52 is divided by d?
16
Let g(w) = -w**2 - 6*w + 4. Let h be g(-6). Suppose -h = -y + 1. Suppose u - 4*b - 6 = 1, 3*u - 28 = y*b. Calculate the remainder when 31 is divided by u.
9
Calculate the remainder when -6*(-2)/4 - -3 is divided by 3.
0
Suppose 4*h - 3*z - 111 = 0, -3*h - 5*z + 50 + 26 = 0. Suppose 60 = k + 4*k - 5*p, 5*k + p - 78 = 0. What is the remainder when h is divided by k?
12
Suppose -348 = -i - 5*i. What is the remainder when i is divided by 15?
13
Suppose 0 = s - 3*s + 5*w + 2, 5*s = w - 41. Let r = s + 16. Suppose -52 = -3*j - u, -3*j + 3*u = u - 67. Calculate the remainder when j is divided by r.
5
Let b(x) = -x + 18. Let t be b(16). Suppose -3*v - t*g + 61 = 0, v + 3 - 12 = 5*g. Calculate the remainder when 56 is divided by v.
18
Suppose 8*w - 10*w = -134. Calculate the remainder when w is divided by 14.
11
Let n = 9 + -5. Suppose -2*y = -n*y + 42. Let r = -7 + y. Calculate the remainder when r is divided by 5.
4
Let i(m) be the third derivative of m**4/24 - m**2. Calculate the remainder when i(3) is divided by 2.
1
Suppose -86 + 6 = -8*x. What is the remainder when 35 is divided by x?
5
Calculate the remainder when 16/3*918/36 is divided by 35.
31
Let c be -2 + 1/((-2)/(-4)). What is the remainder when 21 is divided by -3 + c + (-36)/(-4)?
3
Let z(f) = f**2 - f - 10. What is the remainder when 29 is divided by z(5)?
9
Let o(s) = -s**3 - 7*s**2 - 8*s - 3. Suppose k - 4*k - 221 = 4*h, h = -2*k - 154. Let q = -54 - k. What is the remainder when q is divided by o(-6)?
7
Suppose -3*p + 5*d + 58 = 0, -39 = -5*p + 3*d + 47. What is the remainder when 31 is divided by p?
15
Suppose c - 43 = -3*r, 0*c = -4*c + r + 120. Calculate the remainder when c is divided by 8.
7
What is the remainder when (-1 + 0)/((-9)/891) is divided by 34?
31
Let f = 66 + -46. Calculate the remainder when 78 is divided by f.
18
Let d(c) = -4*c + 2. Let w be 39/(-6) - 5/(-10). Suppose 4*h + 2*m - m = 39, -12 = -2*h + 2*m. Calculate the remainder when d(w) is divided by h.
8
Let j be (-3327)/(-6) + (-9)/(-6). Let u be 5/(-15) + j/(-6). What is the remainder when (-2)/(0 - (-6)/u) is divided by 16?
15
Let b(l) = -3*l - 20. What is the remainder when 59 is divided by b(-12)?
11
Let f be 2/5 + 47/(-5). Calculate the remainder when -1 + (1 - 2 - -29) is divided by f/18 + (-21)/(-2).
7
Suppose -5*n + 282 = k + k, n - 4*k - 74 = 0. Let f = n - 33. Calculate the remainder when f is divided by (25 - -1)*4/8.
12
Let n(h) = 8*h**3 + 3*h**2 - 2*h - 2. Calculate the remainder when n(2) is divided by 18.
16
Suppose y - 1 = -x, -4*y + x + 9 = -0. Let h = -2 - -9. What is the remainder when h is divided by y?
1
Let b be 4*(-6)/(-9)*3. Let a(s) = 2*s**2 + 3*s - 7. Let n be a(-5). Suppose -3*h + n = -b. What is the remainder when h is divided by 7?
5
Let r = 92 + -71. What is the remainder when 37 is divided by r?
16
What is the remainder when (-4)/6*(-10 + -8) is divided by 8?
4
Let r(s) = -s - 4. Let m be (-14)/3 - (-4)/6. Let z be r(m). Let w(x) = x + 22. What is the remainder when w(z) is divided by 8?
6
Suppose 0 = -2*o - 0 + 16. Calculate the remainder when 61 is divided by o.
5
Suppose 4*w - 107 = 17. Let y(k) = 2*k - 3. Calculate the remainder when w is divided by y(10).
14
Let o(u) = -u**3 + 6*u**2 + 5. Let w be o(6). Let j = 15 - w. Calculate the remainder when 7 is divided by (-4)/j + 66/15.
3
Let k(c) = c**3 + 8*c**2 - c - 4. Let p be k(-8). Suppose -p*y - y = -40. What is the remainder when 21 is divided by y?
5
Suppose -5*n = -811 + 266. Suppose 4*x - 119 = n. Suppose x = 2*b + b. What is the remainder when b is divided by 10?
9
Let j = -3 - -4. Let l(x) = -12*x**2 + 11*x**2 - 5 - j + 9*x. Calculate the remainder when l(7) is divided by 5.
3
Let b = 248 - 157. What is the remainder when b is divided by 31?
29
Let r = 12 - 7. Suppose 2*p + 0*p + 75 = 5*u, -r*u = 4*p - 45. Calculate the remainder when 38 is divided by u.
12
Let a = -12 - -28. Let b = 2 + 10. Suppose -4*f = -2*f - b. Calculate the remainder when a is divided by f.
4
Let m = -112 + 134. Calculate the remainder when 60 is divided by m.
16
Let k(s) = 20*s - 50. Calculate the remainder when 80 is divided by k(4).
20
Suppose -2*g = 4*r - 70, 0 = -0*g - 3*g - 5*r + 107. Let h = g + -15. Let m(o) = o**2 + o + 1. What is the remainder when h is divided by m(3)?
11
Suppose 75 + 48 = 3*v. Let a = -11 - -7. Calculate the remainder when v is divided by (7/a)/((-4)/32).
13
Let l = 8 - 4. Let u be 20/10 + (-2)/(-1). Suppose n + 2 = 3*d + 32, -u*n + 5*d + 85 = 0. What is the remainder when n is divided by l?
3
Let y = -6 + 3. Let t(k) be the first derivative of k**3 + 2*k**2 + 1. What is the remainder when 43 is divided by t(y)?
13
Let y(o) = -o**3 - 4*o**2 - 5*o - 2. What is the remainder when y(-4) is divided by ((-4)/36*-15)/(2/6)?
3
Let g(u) = 1 - 4*u**2 + u**3 + u**2 + 3. Let x be g(3). Suppose x*w - 26 = 2*w. What is the remainder when 24 is divided by w?
11
Let j = -8 + 13. Suppose -j*b + u + 131 = 0, 1 = -4*u - 3. Let g(n) = n**2 + 2*n - 6. Calculate the remainder when b is divided by g(-5).
8
Let g = 161 + -114. Suppose -2*s + g = 5*n, -3*n + 6*s = s - 22. What is the remainder when n is divided by 5?
4
Let a(o) = o**3 + 15*o**2 + 19*o + 14. Let n be a(-14). Let m = -7 - n. Let f(y) = 2*y**2 + 6*y + 5. Calculate the remainder when m is divided by f(-4).
10
Suppose -3*m = 2*m - 35. Suppose 0 = -2*a - 3*w + 60, -w = 4*w - 20. Suppose 5*k + 9 - a = 0. What is the remainder when m is divided by k?
1
Suppose