ppose -6*w + 356 - 32 = 0. What is the remainder when w is divided by 29?
25
Suppose 2*g = 4, g - 49 = p - 2*p. Calculate the remainder when 185 is divided by p.
44
Suppose -v = 4 - 3, -4*v + 74 = 3*f. Calculate the remainder when 83 is divided by f.
5
Suppose -p + 2 = 0, -p + 5 = -2*b + 37. Calculate the remainder when 64 is divided by b.
13
Let g = 30 - 5. Calculate the remainder when g is divided by 13.
12
Let m be (-55)/(-15) - (-1)/3. Let q = m - 1. Suppose 0 = q*p + 4*f + 3, -2*p + 0*p + 3*f + 15 = 0. What is the remainder when 6 is divided by p?
0
Suppose 0 = 2*c - 62 + 10. Let d be 88/20 - 6/(-10). Suppose d + 31 = 4*i. Calculate the remainder when c is divided by i.
8
Let w(v) = -55*v**3. Let y be w(-1). Let c = -28 + y. Calculate the remainder when c is divided by 14.
13
Calculate the remainder when 4/((-72)/138)*(-4 + 1) is divided by 5.
3
Let k(d) = d + 1. Let m(g) = g**2 - 4*g + 1. Let x(f) = 5*k(f) + m(f). What is the remainder when 14 + 2 - 0/3 is divided by x(0)?
4
What is the remainder when 59 is divided by ((-441)/(-14))/(-7)*-2*1?
5
Let o(p) = p**2 + 2*p. What is the remainder when 74 is divided by o(-5)?
14
Let x(v) = 4*v**2 - 2*v. Let r(a) = -a - 8. Let n be r(-7). Let o be 30/18 - n/3. Calculate the remainder when 47 is divided by x(o).
11
Suppose -f = -45 - 73. Calculate the remainder when f is divided by 24.
22
Suppose 2*z - z = 44. What is the remainder when z is divided by 16?
12
Let r(w) = -26*w**3 + 2*w**2 - w - 2. Let c = -1 - -15. Calculate the remainder when r(-1) is divided by c.
13
Let k(o) = -o + 42. Let s(y) = y + 21. Calculate the remainder when k(0) is divided by s(-10).
9
Let t(v) = 10*v - 5. Let j be t(3). Let c = 37 - j. Calculate the remainder when 47 is divided by c.
11
Let w = -12 - -20. Suppose 3*r - 5 = -j, -r + 12 + w = 4*j. Suppose 42 = j*a - 53. What is the remainder when a is divided by 7?
5
Let h(n) = 4*n**2 + 26*n + 3. What is the remainder when h(-11) is divided by 17?
14
Suppose 4*g + 5*x - 8 = g, -4*g + 5*x = -69. Calculate the remainder when g is divided by 6.
5
Suppose 2*y = 3*y - 42. What is the remainder when y is divided by 12?
6
Let w(j) = -3*j**3 - 6*j**2 - 4*j - 1. What is the remainder when 75 is divided by w(-3)?
37
Let d(z) = -2*z**3 + 15*z**2 - 6*z - 7. Let n(j) = -j**3 + 7*j**2 - 3*j - 3. Let i(g) = 6*d(g) - 13*n(g). Calculate the remainder when 13 is divided by i(2).
6
Let d be 2*(-2)/((-6)/(-15)). Let u = -9 - -11. Calculate the remainder when d/(-4) - (-2)/(-4) is divided by u.
0
Suppose -5*j + 47 = 3*c, -11 = -5*j + 2*c + 16. What is the remainder when j is divided by 2?
1
Suppose 4*v = -12 + 52. Calculate the remainder when 48 is divided by v.
8
Suppose -3*j + 287 + 73 = 0. Suppose -4*c + j = -c. Calculate the remainder when c is divided by 14.
12
Let x(p) = -p**3 + 8*p**2 - p + 5. Let l be x(8). Let d(t) = -2*t**3 - 3*t**2 + 4. Calculate the remainder when d(l) is divided by 16.
15
Suppose 0 = -5*v - 3*y + 14, -2*y - y = 4*v - 13. Suppose v + 7 = u. Suppose -h + u = 4. What is the remainder when 10 is divided by h?
2
Suppose -505 = -21*d + 2498. What is the remainder when d is divided by 29?
27
Suppose -4*l + 31 - 11 = 0, 0 = -n + 4*l - 7. Calculate the remainder when 49 is divided by n.
10
Let t(i) = i**2 - 4*i + 6. What is the remainder when t(8) is divided by 4*(-15)/((-3)/1)?
18
Suppose 2*b - 18 = -3*s + 7, 3*b - 2*s = 44. Calculate the remainder when b is divided by (-6)/(-3) - (-1 - 2).
4
Let l = -20 + 31. Suppose 23 = 4*u - d, -l = -u + d - 6*d. Let t = 49 + -33. What is the remainder when t is divided by u?
4
Suppose -5*f = -0 - 45. Calculate the remainder when 17 is divided by f.
8
Let q = -18 + 33. Calculate the remainder when 58 is divided by q.
13
Let s = 9 - 5. Suppose s*i + 0*i = 64. Calculate the remainder when i is divided by 9.
7
Let i(u) = u**2 + u - 2. Let x be i(0). Let h(y) = -y + 0 + 1 + 1. Calculate the remainder when h(x) is divided by 3.
1
Suppose 2*b + 0*b - 10 = 0. Suppose 3*w - 225 + 61 = -f, -280 = -b*w + 5*f. Let i = 43 - 24. What is the remainder when w is divided by i?
17
Suppose -3*n - 4 = -4*n. Suppose n*l = -l + 205. Calculate the remainder when l is divided by (6 - 17)/(1/(-2)).
19
Let k(x) = x**2 + 11*x + 2. Let v(n) = -n - 2. Let y be v(9). Calculate the remainder when 3 is divided by k(y).
1
Suppose f = -f - 22. Let g = -1 - f. Calculate the remainder when g is divided by 4.
2
Suppose -6*z - 7 + 97 = 0. Calculate the remainder when z is divided by 12.
3
Calculate the remainder when (84/5)/((-15)/(-50)) is divided by 19.
18
Let i(k) = 6*k + 1. Let o be i(-1). Let q be (-887)/o + 6/(-15). Calculate the remainder when q/5 - 2/5 is divided by 12.
11
Let h(w) = w**3 - 5*w**2 - 3*w + 5. Let y be h(5). What is the remainder when (y/6)/((-4)/48) is divided by 7?
6
Let r(u) = u**2 + 9*u + 5. Calculate the remainder when 27 is divided by r(-9).
2
Suppose -q = -5*j + 45, -2*j + j + q + 5 = 0. Let z = -152 + 86. Let l = -27 - z. Calculate the remainder when l is divided by j.
9
Let l(v) = v + 9. Suppose -5*x = 10 + 10. Let b be l(x). Suppose 4*j + b = 5*j. What is the remainder when j is divided by 3?
2
Let c = -1 + 3. Let p be 6/c - (1 + 8). What is the remainder when (1 - p/(-3))*-3 is divided by 3?
0
Let w(j) = -j + 9. Let z(d) = -d**3 - d**2 + d + 1. What is the remainder when w(7) is divided by z(0)?
0
Let o(n) be the second derivative of n**4/4 - n**3/3 + 4*n. What is the remainder when o(4) is divided by 21?
19
Suppose -t + 1 = -1. What is the remainder when t + (0 - 2) + 1 is divided by 1?
0
Suppose 5*c - 84 - 91 = 0. Suppose -p - 8 = -5*v, -4*p + 0*v + 5*v + 28 = 0. What is the remainder when c is divided by p?
11
Let w(z) be the first derivative of -z**2/2 - z + 2. What is the remainder when 22 is divided by w(-9)?
6
Let d = 167 + -115. Calculate the remainder when d is divided by 11.
8
Let y(f) = 7*f. Let a be y(4). Let b = a - 13. What is the remainder when 35 is divided by 5*6*6/b?
11
Let g be 2*((-5)/2)/(-5). Calculate the remainder when (-189)/(-5) + g/5 is divided by 14.
10
Suppose -86 = 12*i - 530. Calculate the remainder when 221 is divided by i.
36
Calculate the remainder when -18*((-20)/6 - 2) is divided by 14.
12
Suppose h + 5*j - 30 = 0, -13*j - 24 = -4*h - 9*j. Suppose -24 = -n + 5*c, -5*n + 4*c - 13 = -154. Calculate the remainder when n is divided by h.
9
Let x(j) = j**3 + 3*j**2 - j - 3. Let f be x(-3). Suppose f*v - 80 = -4*v. Calculate the remainder when v is divided by 7.
6
Suppose -2*c + 192 = 3*n, n + 4*c = 5*c + 64. Calculate the remainder when n is divided by 33.
31
Suppose -5*x - 5*p = -75, p = -4*x + 5*p + 76. Calculate the remainder when x is divided by 9.
8
Let p = -106 + 161. Let s(c) = c**3 - c**2 - c + 4. What is the remainder when p is divided by s(3)?
17
Let g(w) = w**2 - 6*w + 17. Suppose t + 175 = 5*l, -5*l - 5*t + 0 + 175 = 0. Calculate the remainder when l is divided by g(5).
11
Let c(b) = -b**2 - b + 11. Let n be (-3 - -2)*-2 + -5. What is the remainder when 1 - (-93)/(n + 6) is divided by c(0)?
10
Let d(h) = h**2 + 2*h + 3. Let b be d(-3). Suppose -b*t = -2*t - 28. Calculate the remainder when 1 - (1 + 2 + -15) is divided by t.
6
Suppose -6*n = -2*n - 44. Let g(h) = 4*h - 9. Calculate the remainder when g(n) is divided by 9.
8
Let o = -41 - -58. Calculate the remainder when 56 is divided by o.
5
Suppose 112 + 20 = 4*g + 4*y, -g + 4*y + 43 = 0. What is the remainder when g is divided by 9?
8
Suppose -3*o + u = -55, 2*u + 0*u = 4*o - 70. Calculate the remainder when 74 is divided by o.
14
Let m(f) = -f - 2. Let a be m(-4). Let s(u) = -u**2 - 6*u - 9. Let p be s(-4). Let o = p + a. What is the remainder when 1 is divided by o?
0
Let m = -4 + 4. Suppose m = -0*q - 3*q + 3. What is the remainder when 25 is divided by (-6)/q*(-12)/8?
7
Let i(m) = -2*m**3 - 2*m**2 + 4*m + 5. Let f(c) = -c**3 + c**2 + c + 1. Let v(u) = -3*f(u) + i(u). What is the remainder when 18 is divided by v(5)?
4
Suppose -1 = 5*t - 11. Let w = -4 - -5. What is the remainder when t is divided by w?
0
Let j = -27 + 68. Suppose w = 4*w - 27. What is the remainder when j is divided by w - 2/3*-3?
8
Let l(v) = v**2 - 2*v + 2. Suppose -4*g + 128 - 44 = 0. What is the remainder when l(-8) is divided by g?
19
Suppose -3*o + 2*k + 6 = -2