by 6.
3
Let s = 255 + -178. Let d = s - 46. Calculate the remainder when d is divided by 16.
15
Suppose 70*k + 30 = 76*k. Calculate the remainder when 14 is divided by k.
4
Suppose -5*x + x - 191 = -3*z, z - 52 = -x. Let p = -39 + z. Suppose -2*h = -n - 3 - 3, -3*n - 3*h = -p. Calculate the remainder when 4 is divided by n.
0
Let b(v) = v**2 - v. Let w = 17 - 8. Let n = -6 + w. What is the remainder when n is divided by b(-1)?
1
Suppose -420 = 2*n - 6*n. Let v be (-235)/(-5) + (0 - -3). Let s = n - v. Calculate the remainder when s is divided by 14.
13
Calculate the remainder when 12/((-6)/(-15) - 0) is divided by ((-6)/(-3))/(4/22).
8
Suppose 0 = 14*g - 256 - 416. What is the remainder when g is divided by 17?
14
Suppose 0*a = 5*a + 120. Let x = 36 + a. Suppose 3*r - x = r. Calculate the remainder when 17 is divided by r.
5
Suppose -h - 1 = -4*y, -4 = -3*y + 3*h - 1. Suppose y = q + a - 57, -5*q + 273 = 3*a - a. What is the remainder when q is divided by 14?
11
Suppose 5*p - 6*b = -b + 630, -5*b = -4*p + 503. Suppose 5*w + 2*u = p + 14, -u = -4*w + 118. Calculate the remainder when w is divided by 15.
14
Let v = 94 + -56. What is the remainder when v is divided by (3/(-2))/((-27)/180)?
8
Let k be (-2)/(-6) + 8/3. Suppose -2*b + 10 = 4*p - 22, -3*b = 2*p - 48. What is the remainder when b is divided by 7/(-21) - (-19)/k?
4
Suppose 2*z - 5*j + 3*j - 124 = 0, 5*z - 319 = -4*j. Calculate the remainder when z is divided by 22.
19
Suppose -r + 6*r - 45 = 0. Let i(x) = x**3 + 5*x**2 - 7*x - 5. What is the remainder when i(-3) is divided by r?
7
Suppose -4*a + 22 = 5*j - 7*j, 3*a + 3*j - 12 = 0. Suppose 4*x + 52 = a*w, 3*x - 4*x + w = 12. Let k = x - -12. Calculate the remainder when k is divided by 3.
1
Let d = 11 + -4. Let p = -3 + d. What is the remainder when 10 is divided by p?
2
Suppose 0 = -3*j - 5*p + 53, 0*j + 5*p + 2 = 2*j. What is the remainder when 43 is divided by j?
10
Suppose 3*x + 96 = 195. Calculate the remainder when 93 is divided by x.
27
What is the remainder when 41 is divided by 8/(-3)*18/(-8)?
5
Suppose -z = z + 2. Let g = z - -4. What is the remainder when 53 is divided by g/(9/6) - -12?
11
Let v = 8 + 4. Calculate the remainder when v is divided by 5.
2
Suppose b + 4*b - 40 = 0. Suppose -5*y = -p - b, -y = -4*y - 4*p + 14. What is the remainder when 2 is divided by y?
0
Let w(x) = -x + 4. What is the remainder when w(-3) is divided by (-2)/5 + 17/5?
1
Suppose -37*i = -33*i - 4. Calculate the remainder when 1 is divided by i.
0
Suppose 0 = -r - 1 - 4. Let s = -12 - r. Let a(f) = -f + 9. What is the remainder when a(s) is divided by 6?
4
Let z(n) = 2*n**3 - 4*n**2 - 1. What is the remainder when 65 is divided by z(3)?
14
Suppose -5*p = 5*i - 60, -i - 2*p = 3*p - 20. Calculate the remainder when 29 is divided by i.
9
Suppose -22*h - 12 = -24*h. Let u(s) be the second derivative of -2*s**3/3 - 4*s**2 - s. Calculate the remainder when u(-6) is divided by h.
4
Calculate the remainder when 52 is divided by (-1)/2*(-58 - (-3 - 1)).
25
Let v(w) = -w**3 - 3*w**2 - 3*w + 4. Calculate the remainder when v(-3) is divided by 2*-1 + 2 - -7.
6
Let y(p) = p**3 - 6*p**2 + p - 2. Let d be y(6). Let r(t) = -2*t**3 + 5 + 2*t**2 + 2*t**2 + t**3. Calculate the remainder when 14 is divided by r(d).
4
Suppose 293 = 13*f - 19. What is the remainder when f is divided by 7?
3
Suppose -73 = -5*v + 2*s, -s + 3 - 7 = 0. Let z(y) = v*y - 12*y + 16*y. Calculate the remainder when 33 is divided by z(1).
16
Let z(u) = u - 13. Let d be z(8). Let p be 2/d + 356/(-10). Let r = 60 + p. What is the remainder when r is divided by 13?
11
Let r = -19 - -2. Let m = r + 37. Calculate the remainder when m is divided by 11.
9
Let a = -30 + 45. What is the remainder when a is divided by 96/18*6/4?
7
Let o = 44 + -26. What is the remainder when o is divided by 7?
4
Let z(g) = 7*g - 1. Let f = 8 + -7. Calculate the remainder when 23 is divided by z(f).
5
Let m = -34 - -24. Let g = 16 + m. Calculate the remainder when 28 is divided by g.
4
Suppose 3*y = 7*y - 12, 4*c + 2*y - 22 = 0. Suppose -j + 3*d + 9 = 0, 0 = c*d + 12 - 4. What is the remainder when -3 + -2*(j - 27) is divided by 16?
13
Suppose -7*n + 3*n - 45 = -j, n = 2*j - 20. Let p be 12/n*(-25)/10. Suppose -6 = p*q - 18. What is the remainder when 13 is divided by q?
1
Let n(h) = -h**3 - 3*h**2 + 4*h + 3. Let u be n(-4). Suppose u*p + 0*p - 48 = 0. What is the remainder when 62 is divided by p?
14
Let y(m) = m**3 - 7*m**2 - 7*m + 4. What is the remainder when 23 is divided by y(8)?
11
Let g = -107 - -222. Suppose 6 = 5*d - 24. Suppose -s - g = -d*s. Calculate the remainder when s is divided by 12.
11
Calculate the remainder when 37 is divided by (-78)/(-4) - (-2)/(-4).
18
Suppose -2*o - o = -5*y + 69, -o - 39 = -3*y. What is the remainder when 47 is divided by y?
11
Suppose 0 = -i + 1. Let d be (-1 - 6)/(-1) + i. Suppose -d = -w + 6. Calculate the remainder when 41 is divided by w.
13
Suppose -42 - 3 = -5*h. What is the remainder when h is divided by 7 - 2*(-1)/(-2)?
3
Let l(x) = 5*x + 15. Calculate the remainder when 131 is divided by l(6).
41
What is the remainder when 111/(-1)*6/(-9) is divided by 39?
35
Let h = -124 + 212. Let r = h + 1. What is the remainder when r is divided by 30?
29
Calculate the remainder when 30 is divided by (-5 - -4) + (16 - -1).
14
Let n(x) = -x**3 + 8*x**2 + 10*x - 1. Suppose 5*i = y + 28 + 17, -i + 9 = -5*y. Calculate the remainder when n(i) is divided by 5.
3
Let l(t) = -t**3 + 5*t**2 - t. Let q = 6 + -4. What is the remainder when 39 is divided by l(q)?
9
Let j be ((-80)/12)/((-4)/6). Calculate the remainder when 46 is divided by (24/j)/(2/10).
10
Let s be (-1)/2*(1 - -3). Let g = s - -7. What is the remainder when g is divided by 3?
2
Suppose -o - 4*v + 3 = 0, 3*v = 3*o - v - 25. Let u = -12 - -10. What is the remainder when (16/u)/(12/(-18)) is divided by o?
5
Let m = -33 + 61. What is the remainder when m is divided by 10?
8
Let r = 18 + -11. Let t = -23 + 34. What is the remainder when t is divided by r?
4
Suppose -3*b + 95 = 4*n, -5*n + 4*b + 39 = -41. Let m be 58*2/4 + 3. Suppose 80 = 2*v - 2*p - m, 0 = v + 3*p - 68. What is the remainder when v is divided by n?
19
Let a = 8 + -4. Suppose t = -a*n - 3, 3*t + 5 = -n - 4. Suppose -15 = -v - n. What is the remainder when 29 is divided by v?
14
Suppose -2*k + 30 + 30 = 0. Calculate the remainder when 117 is divided by k.
27
Let a(c) = 2*c**3 - 4*c**2 + 2*c - 1. Suppose -3*k + 19 = -d, 0 = 5*k - 4*k + 5*d - 33. Calculate the remainder when a(3) is divided by k.
7
Let v = 85 - -9. What is the remainder when v is divided by 19?
18
Let z(o) = 11*o - 83. Let b(h) = -5*h + 41. Let v(n) = 9*b(n) + 4*z(n). What is the remainder when v(0) is divided by 291/15 - (-2)/(-5)?
18
Suppose 5*c - 5 = 5. Let o be 1 - 1 - (-6 - c). Calculate the remainder when 19 is divided by (-145)/(-20) - 2/o.
5
Let t(u) = -u**2 - 15*u - 17. Calculate the remainder when t(-9) is divided by 10.
7
Let h = -52 + 94. What is the remainder when h is divided by 22?
20
Suppose 3*p - 5*q - 336 = -29, -287 = -3*p + q. Suppose 3*n + 25 = p. What is the remainder when n is divided by 8?
7
Suppose -4*m - 8 = o, 2*m - 68 = -3*o + 7*o. Let x = -10 - o. Calculate the remainder when x is divided by 4.
2
Let w = -46 + 95. Let s = w + -15. What is the remainder when s is divided by ((-4)/5)/(9/(-135))?
10
Let d be 0*(0 + 3/(-6)). Suppose d = -i + 8 + 4. Suppose -42 = -4*u + 2*y, -u + y + i = -y. Calculate the remainder when 18 is divided by u.
8
Suppose 5*v = -3*f + 10, 2*f - 16 + 4 = 2*v. Suppose 14 = a + 4*o, -a + 6*a + f*o = 40. What is the remainder when 21 is divided by a?
3
Let d(k) = k**2 + 4*k - 7. Let a be d(-5). Let r(v) = -v**2 + 4*v - 1. What is the remainder when r(3) is divided by ((-1)/(-1))/(a - -3)?
0
Let s(g) = 5*g - 1. What is the remainder when 93 is divided by s(5)?
21
Let r be 3 - 1*(-1 - -2). Suppose -r*l - 1 + 5 = 0. Suppose 18 = i + 3*h, 2 = -2*i + h + 3. What is the remainder when i is divided by l?
1
Suppose k - 14 + 2 = -w, -2*w = 4*k - 54. What is the remainder when 72 is divided by k?
12
Let p = 87 + -45. Calculate the remainder when 166 is divided by p.
40
Suppose -10 = i - 18. What is the remainder when (-2)/((-3)/(174/4)) is divided by i?
5
Let 