6. Let w = u + 20. Calculate the remainder when 22 is divided by w.
6
Let g = 178 - 95. Calculate the remainder when g is divided by 29.
25
Let u = -97 + 148. Suppose -5*n = 5*a - u - 14, 2*a = -n + 10. Suppose 2*l - 36 = -2*l. What is the remainder when n is divided by l?
7
Let h(d) = d**3 + 2*d**2 - 4*d + 2. Suppose 3*r = 5*r - 4. Let n(m) = m**2 + 4. Calculate the remainder when h(r) is divided by n(0).
2
Let b(h) = 5*h + 2. Let l be b(-3). Let w = -3 + 2. Let r = w - l. What is the remainder when 22 is divided by r?
10
Let q = -3 + 14. Let d = q + -7. What is the remainder when d is divided by 2?
0
Let t(x) = -x + 8. Let m be t(4). Suppose -m*c + 3*c = -7. What is the remainder when c is divided by (-2)/4 - (-18)/4?
3
Suppose 0 = -s, 0 = 3*o - s + 5*s - 30. What is the remainder when 38 is divided by o?
8
Suppose 2*j + 12 = y, j = 2*y + y - 11. Let a be (-13)/(-3) + y/(-6). Suppose -a*u = -u - 63. Calculate the remainder when u is divided by 11.
10
Let n(t) = 15*t**2 - 3*t + 3. Calculate the remainder when n(2) is divided by 20.
17
Let f = -23 - -29. What is the remainder when 22 is divided by f?
4
Suppose -y - 3*y = -4*v + 288, -5*v + 387 = 4*y. Calculate the remainder when v is divided by 26.
23
Let c(a) = 20*a - 3. Let m be c(-3). Let t = -30 - m. Calculate the remainder when t is divided by 12.
9
Suppose 0*n = 5*n - 3*g - 401, -4*n = -3*g - 322. Let u = n - 55. Let m = 23 + -10. What is the remainder when u is divided by m?
11
Let z(v) = 2*v**2 - v - 2. Suppose -15*s + 9 = -14*s. What is the remainder when z(-4) is divided by s?
7
Let v = -5 + -1. Calculate the remainder when 2/v*1*-111 is divided by 13.
11
Suppose s + 1 = 3. Calculate the remainder when 9 is divided by s.
1
Let s = -4 - -16. What is the remainder when 2*(-5)/(20/(-42)) is divided by s?
9
Suppose -2*y + 3*b = -31, -5*y + 0*y = -b - 45. Calculate the remainder when 28 is divided by y.
4
Let t = -15 - -34. Let c = -11 + 15. Suppose c*o + 0*f = -2*f + 18, 4*f + 20 = 0. Calculate the remainder when t is divided by o.
5
Suppose 21*m + 25 = 26*m. Calculate the remainder when 88 is divided by m.
3
Let j(o) = o**2 + 4*o - 2. What is the remainder when ((-10)/15)/(2/(-21)) is divided by j(-5)?
1
Let w(j) = 6*j + 2. Suppose -2*a = -3*a + 5. Calculate the remainder when w(a) is divided by 17.
15
Let y = 20 - 27. Let x = y + 14. What is the remainder when 19 is divided by x?
5
Let l = -11 + 34. Calculate the remainder when l is divided by 5.
3
Suppose 0 = 5*y - 9 + 34, -2*u = 5*y - 29. Calculate the remainder when u is divided by 10.
7
Suppose -410*c = -424*c + 224. Let f(a) = a**2 + 5. What is the remainder when f(-5) is divided by c?
14
Let o be (-1)/(1*3/15). Let r = 10 + o. Suppose 3*x - 2*x + r*f + 5 = 0, -3*x + f = -49. What is the remainder when 43 is divided by x?
13
Suppose 5*q + 2 = 7, g + 2*q - 103 = 0. Let u be 86/8 + 5/20. Suppose -g = -3*o - u. What is the remainder when o is divided by 16?
14
Let s(j) = -j**2 - 3*j + 9. What is the remainder when 34 is divided by s(-4)?
4
Let q(k) = k**2 + 2. Let y be q(0). Suppose 0 = 5*t - z + y*z - 35, 4*t - 5*z = 28. What is the remainder when 20 is divided by t?
6
Let o be (7 - 7) + 5 + 0. Suppose 53 = o*v - 7. Calculate the remainder when 57 is divided by v.
9
Suppose -3*n + 3 = -2*s, -s + 4*n + 7 - 21 = 0. Let z = s + -4. Let k = -1 - -2. Calculate the remainder when z is divided by k.
0
Suppose 2*l + 9*l = 231. Calculate the remainder when l is divided by 8.
5
Suppose -37 = -3*x - 4. Let p = x - 7. Suppose 0 = -d - 3*u - 2, -5*u - 3 = -p*d + 23. What is the remainder when d is divided by 2?
0
Let f(s) = -s**3 + s**2 + 2*s. Let o = -164 + 178. Calculate the remainder when o is divided by f(-2).
6
Let p(m) = m**3 - 4*m**2 + 2*m + 1. Let j be p(2). Let g = -1 - j. Suppose g*d - 17 = d. What is the remainder when 50 is divided by d?
16
Let g(b) = -b**3 + 5*b**2 + 6*b + 4. Let r be g(6). Let x be ((-4)/(-5))/(r/10). Suppose 159 = -x*q + 5*q. What is the remainder when q is divided by 18?
17
Let l(r) = -r + 9. Let d be l(6). Let i = 0 + d. What is the remainder when 11 is divided by i?
2
Suppose 5*g + 22 = 3*q, 0*q - q + 34 = 5*g. Suppose -32 = 4*h - 5*n, -2*n = 3*h - 5*h - 18. What is the remainder when (h/3)/(2/(-18)) is divided by q?
11
Let f(w) = w + 8. Let i be f(-7). What is the remainder when 33 is divided by 2 - -18 - (i - -2)?
16
Let x(i) = -12*i - 26. Let q(v) = -v**3 + 7*v**2 - 2*v - 6. Calculate the remainder when q(6) is divided by x(-3).
8
Suppose 3*w + 7 = -0*l + 4*l, 3*l = -w + 15. Let i = -1 + w. Calculate the remainder when 2 is divided by i.
0
Let b be (6/10)/(5/25). Suppose -5*s = b - 83. Calculate the remainder when ((-12)/18)/(1/(-69)) is divided by s.
14
Let j = -48 + 52. What is the remainder when 4 is divided by j?
0
Suppose 4*d - 76 = -4*n - 0*n, -n + 4*d = -29. What is the remainder when 80 is divided by n?
17
What is the remainder when 30 + -33 + (0 + 1 - -48) is divided by 24?
22
Suppose 0 = -3*i - 4*d + 62, -4*i = -2*i + 2*d - 40. What is the remainder when 52 is divided by i?
16
Let k(n) = n + 9. Suppose d - 156 = -2*d. What is the remainder when d is divided by k(9)?
16
Suppose 2*z - 4*l = 0, -3*z + 0*z = 2*l. Suppose z = -o + 18 + 7. Let i(j) = 2*j**2 - j - 1. Calculate the remainder when o is divided by i(-2).
7
Let a(q) = -q**2 + 13*q + 2. Let b = 18 + -13. Suppose -20 = -4*r + 5*j, b*j = 3*r - 7 - 3. Calculate the remainder when a(r) is divided by 11.
10
Let h = 5 + 5. Let r = 36 - h. What is the remainder when r is divided by 7?
5
Suppose -q + 42 + 4 = -5*r, 3*q = -5*r + 38. Suppose 3*u + 3*j - q = 0, 3*u + 2*j = -2*u + 29. What is the remainder when 14 is divided by u?
4
Let g(d) = -13*d + 2. Let t be g(-6). Suppose -4*k + t = k. Calculate the remainder when k is divided by 6.
4
Suppose d + 30 = 4*d. What is the remainder when 49 is divided by d?
9
What is the remainder when 1 + 6 + -3 + 21 is divided by 2/(-3) + (-44)/(-3)?
11
Let r = -4 - -4. Let j = r + 9. What is the remainder when j is divided by ((-5)/(-3))/((-2)/(-6))?
4
Let w(c) = -2*c + 20. Let v be w(11). Calculate the remainder when 20 is divided by 3 + (9 - v) + -3.
9
Suppose 7 = h + m, h - 19 = m - 5*m. What is the remainder when 7 is divided by h?
1
Suppose -12 = 4*j - 0. Let w = j + 6. Suppose w*s + 2 = 32. Calculate the remainder when 29 is divided by s.
9
Let b = -8 - -37. Calculate the remainder when b is divided by 18.
11
Suppose -q = 5*l + 4*q + 270, -6 = -3*q. Let p(g) = -g - 1. Let y be p(3). What is the remainder when y/(2 + l/26) is divided by 9?
8
Let f(v) = -8*v + 11. Let d be f(5). Let z = 42 + d. Suppose 0 = x - 0*x + 2*h - 13, 28 = 4*x + 2*h. What is the remainder when z is divided by x?
3
Suppose l - 2*l - 38 = 0. What is the remainder when (l/(-4) + 2)*2 is divided by 8?
7
Let a(c) = c**3 - 12*c**2 + 30*c - 13. What is the remainder when 166 is divided by a(9)?
12
Let v(q) = -q + 4. Let t(d) = 2*d - 12. Let l(f) = 3*t(f) + 10*v(f). What is the remainder when l(-4) is divided by 11?
9
Let j = -6 + 9. Suppose -j*y + 6*y = 9. Calculate the remainder when 6 is divided by y.
0
Suppose 47*a = 52*a - 200. What is the remainder when a is divided by 21?
19
Suppose -3*t - 3*t = -312. Calculate the remainder when t is divided by 18.
16
Suppose 3*z + 72 = 4*b - 0*z, 0 = 5*b - 3*z - 87. Let p = -108 - -172. Let k = 93 - p. What is the remainder when k is divided by b?
14
Let w be 12/9*(-3)/(-2). Suppose 2*l = -0*l + 4, 60 = 2*k - w*l. Suppose 4*p - 2*t - 60 = 0, -p + 4*t - 84 = -5*p. What is the remainder when k is divided by p?
15
Let u(p) = -14*p - 160. Suppose 2*m = m + 13. What is the remainder when u(-14) is divided by m?
10
Let n be -3 - 11*(-1 - 0). Let p = n + 7. Let i = -10 + p. Calculate the remainder when i is divided by 2.
1
Let k(g) = -g + 5. What is the remainder when 45 is divided by k(-7)?
9
Let y = 8 + 2. What is the remainder when y is divided by 6?
4
Let o = 19 - 11. Let k be (-4)/6 + o/12. Suppose -4*h + 3 + 17 = k. What is the remainder when h is divided by 3?
2
Suppose 0 = 2*v - 4*v + 8. Suppose -t + 7 = -4. What is the remainder when t is divided by v?
3
Suppose -5*x = 5*v - 205, -3*v + 8*v - 131 = -3*x. Let j(y) = y**3 + 15*y**2 + 12*y - 18. What is the remainder when x is divided by j(-14)?
7
Sup