he remainder when f is divided by 8.
1
Let a = -20 - -27. Suppose 8*m - 36 = 5*m. Calculate the remainder when m is divided by a.
5
Let g(j) = j + 3. Let p be g(-10). Let f = p + 7. Suppose f = 3*w + 2*w - 220. What is the remainder when w is divided by 23?
21
Suppose 3*k + 0*k - 12 = 0. Calculate the remainder when -21*5/((-30)/k) is divided by 5.
4
Suppose 3*n - 3*w = 303, n - 2*n - 4*w = -126. Suppose -4*p = 5*s - n, 3*p = -s - 2*s + 78. Calculate the remainder when 46 is divided by p.
22
Let o be (24/(-10))/((-4)/10). Let r(d) = 7*d. What is the remainder when r(o) is divided by 15?
12
Let q = 9 - 7. Suppose 2*v + 20 = 3*p - q*p, -3*p + v + 35 = 0. What is the remainder when 28 is divided by p?
8
Let b = -5 - -8. Suppose k = 2*c + 18, 5*k = 4*c - b*c + 81. Suppose 0 = -u + 2 + 44. Calculate the remainder when u is divided by k.
14
Let q(v) = 6*v - 1. Suppose 3*k - 2*t = 5*k - 32, 6 = -2*t. Let y = k - 13. Calculate the remainder when q(2) is divided by y.
5
Let d = 25 - 6. Let i = 116 - 62. Calculate the remainder when i is divided by d.
16
Let z = -100 + 115. What is the remainder when z is divided by (0 - 1 - -1) + 9?
6
Let t = -16 - -27. Let f(z) = 6*z + 1. What is the remainder when t is divided by f(1)?
4
Suppose 0 = 2*c - 4. Suppose -x - 4*x - 3*d + 40 = 0, 4*x + c*d = 30. What is the remainder when 9 is divided by x?
4
Let a be 25/(-3) + 1/3. Suppose -3*v = -2*c + 5*c - 33, 5*v = -4*c + 51. Calculate the remainder when (-5)/(-2*(-1)/a) is divided by v.
6
Suppose 0 = 4*f - 5*b - 16, -4*f + 12 + 4 = 5*b. Suppose 2*y = j - 0*j + 41, -5*y = f*j - 109. What is the remainder when 62 is divided by y?
20
Let j = 2 + 2. Suppose -34 = -j*g + 18. Suppose -2*x = -k + 4 + 21, -5*k - x + 125 = 0. Calculate the remainder when k is divided by g.
12
Let p(r) = -4*r**3 - 3*r**2 + r + 3. What is the remainder when 33 is divided by p(-2)?
12
Let x(b) = -3*b - 1. Let q be (6/(-10) - -1)*-5. Suppose -15 - 11 = -2*k. What is the remainder when k is divided by x(q)?
3
What is the remainder when 70 is divided by (-1 + 28)/(9/6)?
16
Let j(h) = -h**2 + 2*h. Let t be j(3). What is the remainder when 5 is divided by (-2)/(2/(-5)) + t?
1
Suppose 33 = 2*o + 9. Suppose -r + o = r - 3*m, 5*r - 3*m - 30 = 0. What is the remainder when 9 is divided by r?
3
Let v = -58 + 85. Calculate the remainder when 107 is divided by v.
26
Suppose -2 = a - 4. Suppose 0 = -a*s + 7*s - 2*q - 95, 0 = s + q - 26. Calculate the remainder when s is divided by 1*(2 - -9) - 0.
10
Let m(f) = -6*f + 2. Suppose -3*n = -n - 108. What is the remainder when n is divided by m(-2)?
12
Suppose -2*r + 68 = -60. Let s = 349 + -242. Let x = s - r. Calculate the remainder when x is divided by 15.
13
Let s(f) = -f**2 - 13*f + 14. What is the remainder when s(-10) is divided by 16?
12
Suppose -2*f - 3*f + 410 = -5*p, 4*p = -5*f + 455. What is the remainder when f is divided by 18?
15
Let h(o) = 62*o**3 - 3*o - 3. Let w(g) = 31*g**3 - 2*g - 2. Let j(t) = -3*h(t) + 5*w(t). What is the remainder when j(-1) is divided by 11?
9
Let p be 12 + -4 - (1 - -2). Suppose w = -3*z + 6*w + 475, -p*z + 799 = -w. Suppose 2*f - z = -3*f. What is the remainder when f is divided by 11?
10
Suppose y + 17 = 3*u + 101, y + 28 = -u. What is the remainder when (2 - (-57)/(-12))*u is divided by 16?
13
Suppose 0 = n - 5*t + 1 - 74, 63 = n - 3*t. Calculate the remainder when n is divided by 25.
23
What is the remainder when 98 is divided by (1 + -6)*(4 + -8)?
18
Let x(i) = -2*i**2 + 38*i - 22. What is the remainder when x(18) is divided by 10?
4
What is the remainder when 62 is divided by ((-38)/6 - -1)*-3?
14
Suppose 0 = -2*z + 145 - 37. Calculate the remainder when z is divided by 14.
12
Let k(b) = -b**3 + 16*b**2 - 41*b - 12. Calculate the remainder when k(12) is divided by 15.
12
Suppose -4*k - 45 - 59 = 0. Let f = 38 + k. Let y = 76 + -41. Calculate the remainder when y is divided by f.
11
Suppose -t + 2 + 4 = 0. What is the remainder when 14 is divided by t?
2
Suppose -5*o + 356 + 89 = 0. Let q = -59 + o. What is the remainder when q is divided by 16?
14
Suppose 0 = 3*d - 4*c - 200 - 56, 4*d + 5*c - 300 = 0. Let g = d - 180. What is the remainder when 4 is divided by 2/(-9) - g/45?
0
Let b = 73 + -32. Let j(m) = -6*m - 27. What is the remainder when b is divided by j(-8)?
20
Let h = 25 + -13. Suppose 2*o - h = -2*o. Suppose o*w = -2*w + 5. Calculate the remainder when w is divided by 1.
0
Suppose 3*r + 4*m = 333, 336 = 3*r - 4*m + 9*m. What is the remainder when r is divided by 16?
11
Suppose 0 = -2*r + 66 + 32. Suppose -6 = 3*x - 57. Calculate the remainder when r is divided by x.
15
Let q = -12 - -14. Suppose -q*l - 3*l = -60. Calculate the remainder when (90/(-8))/(1/(-4)) is divided by l.
9
Let r be (-4)/22 + (-48)/(-22). Suppose -q + 96 = r*q. What is the remainder when q is divided by 11?
10
Calculate the remainder when 16 is divided by ((-45)/21 - -3)/(1/7).
4
Suppose u + 2*u = 3*q - 9, -5*u - 11 = -4*q. Let v = u - -5. Calculate the remainder when 17 is divided by v.
5
Suppose 0 = -4*f + 4*x + 52, 5*f - 2*x - 19 - 58 = 0. What is the remainder when 33 is divided by f?
16
Let a(n) = 3 + 3 - 2 + n - 2*n. Calculate the remainder when 41 is divided by a(-7).
8
Let z(s) = -s**2 + 1. Let i be z(-2). Let x be 112/(-24)*i/2. Suppose 5*u = x*u - 26. Calculate the remainder when 25 is divided by u.
12
Let q(j) = j**2 + j - 1. Calculate the remainder when (-5)/20 + (-5)/(-4) is divided by q(1).
0
Let b = -19 + 28. Let m(y) = y**2. Let q(o) = -o**3 - 7*o**2 + 3*o + 3. Let t(j) = -5*m(j) - q(j). What is the remainder when b is divided by t(-2)?
0
Suppose 0 = 4*v - 29 + 5. Let t(y) = y**2 - 5*y - 9. Calculate the remainder when t(8) is divided by v.
3
Let t(i) = 18*i. Let g be t(2). Let k = g - 7. Let p(q) = -q - 7. Calculate the remainder when k is divided by p(-17).
9
Let i be (3/9)/(2/(-258)). Let s = -28 - i. Calculate the remainder when 42 is divided by s.
12
Suppose 5*x = 4*z - 49, 0 = -z - 2*x - 6 + 2. What is the remainder when 14 is divided by z?
2
Let m be (-2)/(-3) - 10/(-3). Suppose 0*l - 2*l - i + 25 = 0, -5*i = m*l - 41. What is the remainder when 27/(-6)*(-6)/((-1)/(-1)) is divided by l?
13
Suppose -4*y + 107 = -145. Calculate the remainder when y is divided by 22.
19
Suppose 5*m = -5*t + 66 + 104, 0 = 3*t - 3*m - 132. Calculate the remainder when t is divided by 14.
11
Suppose z = -5 + 7. Calculate the remainder when 4 is divided by z.
0
Suppose 6 = 3*d, -2*d + 13 = 5*k - 11. Suppose -3*u - 2 = -k*u. Suppose -u*f + 44 = -30. Calculate the remainder when f is divided by 13.
11
Let l(t) = t**2 + 2*t - 3. Suppose -5*j - 16 = 4*s - 6*j, 2*s + 5*j - 14 = 0. Let q be l(s). What is the remainder when 1 + -2 + (41 - q) is divided by 14?
12
Suppose -16 = 4*h, 5*h - 52 = -2*g - 8. What is the remainder when g is divided by 7?
4
Suppose 3*x - 1 = 2*x. What is the remainder when 0/(-1) + -1 + 3 is divided by x?
0
Let g be 5/((-10)/(-176)) + 2. Suppose 0*k - 5*k - g = 0. Let a = k + 33. What is the remainder when 29 is divided by a?
14
Let h(d) = d**3 + 2*d**2 - 4*d + 3. What is the remainder when 20 is divided by h(2)?
9
Let v(w) = w**3 + 7*w**2 + 6*w + 1. Let p be v(-6). Let g = p - -10. Let k = 79 - 38. Calculate the remainder when k is divided by g.
8
Suppose -3*f = -5*s - 2*f + 31, s + 2*f - 15 = 0. Let r = 11 - -9. What is the remainder when r is divided by s?
6
What is the remainder when 121 is divided by -4 + 32 + 4 + 1?
22
Suppose -y + 2*y + 2*c = 12, 0 = -2*y + 2*c + 12. What is the remainder when (-5)/((6/(-9))/2) is divided by y?
7
Let v(w) = -11*w**3 + w. Let j be 8*(-3 - (-27)/6). Let c = -8 + j. Calculate the remainder when v(-1) is divided by c.
2
Suppose 5*a - 25 = 0, 57 = 3*y + 5*a - 19. Suppose p - y - 38 = 0. Let u = -31 + p. What is the remainder when u is divided by 9?
6
Let q(p) = -p**3 + 11*p**2 - p + 43. What is the remainder when q(10) is divided by 17?
14
What is the remainder when 28 is divided by (18/1)/((-1)/((-3)/3))?
10
Suppose -3*n + 26 = i, -72 + 19 = -4*n - 5*i. What is the remainder when 1*19 + (-1)/(-1) is divided by n?
6
Suppose -4*m + 3*p + 2*p = 0, 0 = -5*m + 5*p. Suppose 2*l = -4*v + 6, 4*l + 3 = -3*v + 5. What is the remainder when -30*((-1)/v + m) is divided by 8?
7
Suppose 16 = 