8?
17
Suppose -5*w - 15 = y - 21, 0 = -4*w - y + 4. Calculate the remainder when 6 is divided by w.
0
Let o(h) = -h**3 - 4*h**2 - 4*h - 2. Let w be o(-2). Calculate the remainder when 19 is divided by (-2 + 2 - w) + 5.
5
Suppose v - 4*y - 10 = -0*v, 3*y + 3 = 0. Let l = -50 - -61. What is the remainder when l is divided by v?
5
Suppose -4*c + 8 = -3*u, 0 = -c - 0*u - 2*u + 13. Suppose c*d - 2*v - 235 = -7*v, -2*d - 3*v + 90 = 0. What is the remainder when d is divided by 13?
12
Let w(z) = 2*z**3 + z**2 - 2*z. What is the remainder when w(2) is divided by 6?
4
Let l(c) = c + 11. What is the remainder when l(-7) is divided by 2?
0
Suppose 0 = 4*k + 4*s - 8, -2*k + 4 + 0 = -5*s. Let q be (-4)/(-6) + (-44)/12. What is the remainder when 1*(1 + q) + 7 is divided by k?
1
Let k = 151 - 68. Calculate the remainder when k is divided by 28.
27
Suppose -2*x + 7 = -3*u, -3*u + 1 = -2. Let c(n) = n**3 - n**2 + 3*n - 2. What is the remainder when c(2) is divided by x?
3
What is the remainder when 30/(3/2 - 0) is divided by 7?
6
Let i = 27 - 14. Let y(j) = 5*j**2 + 3*j - 3. What is the remainder when y(2) is divided by i?
10
What is the remainder when (-7 + -77)*(-1)/4*3 is divided by 16?
15
Let m(q) = -13*q - 4. Calculate the remainder when 172 is divided by m(-3).
32
Let y(l) = -l**3 + 6*l**2 + l + 1. Suppose 0*k + 34 = -2*k. Let w = k + 25. Calculate the remainder when y(5) is divided by w.
7
Suppose 5*a + x = -0*a + 13, -3*a - 5*x - 1 = 0. Let z be 43/a + (-2)/6. Let m = z + 2. Calculate the remainder when m is divided by 9.
7
Suppose 0 = 2*n - 0*n - 4. Suppose 0 = -5*r - 3*c - n*c - 10, -2*c - 11 = -5*r. Calculate the remainder when 5 - (-1 - 20/(-4 + 0)) is divided by r.
0
Let y = -32 + 48. Suppose -2*l + y = 2*l. Calculate the remainder when 15 is divided by l.
3
Let s(t) = -t + 23. Calculate the remainder when s(0) is divided by 6.
5
What is the remainder when 15 is divided by ((-16)/5)/((-2)/5)?
7
Suppose -2*y = 5 - 131. What is the remainder when y is divided by 33?
30
Let u(f) = -f**2 + f - 42. Let v be u(0). Let j = v - -61. Calculate the remainder when j is divided by 30/4 - (-2)/(-4).
5
Suppose 5*r - 45 + 0 = 0. What is the remainder when 16 is divided by r?
7
Let b = -32 + 35. What is the remainder when 7 is divided by b?
1
Suppose -64 = -4*s + 4*k, 6*s - 3*s - 5*k - 48 = 0. Suppose 127 = 3*b - 53. Suppose 30 + b = 3*i. What is the remainder when i is divided by s?
14
Suppose 0 = -5*a, 0 = -0*d + 3*d - 3*a - 45. Calculate the remainder when 29 is divided by d.
14
Let h be 3 + (-4)/(8 - 4). Suppose 4*q = -2*w + 98, h*w - 96 = -0*w - 2*q. What is the remainder when w is divided by 16?
15
Let k = -67 + 121. What is the remainder when k is divided by 14?
12
Let o(x) = 5*x - 14. Let b be o(13). Suppose 45 + b = 3*n. What is the remainder when n is divided by 9?
5
Suppose 5*s = -2*t + 28, 5*t - 12 = -0*s + 2*s. What is the remainder when 6 is divided by t + -1 + 2 + 0?
1
Suppose 7*j = 55 + 64. What is the remainder when 64 is divided by j?
13
Suppose 2*i = -3*i + 10. Suppose 5*w - i*k - k - 27 = 0, -2*k + 7 = 5*w. Calculate the remainder when 4 is divided by w.
1
Let z = -192 + 74. Let b = -77 - z. Calculate the remainder when b is divided by 11.
8
Let x = 8 + 31. What is the remainder when x is divided by ((-7)/(-2))/(1/4)?
11
Suppose 3*a - k = 2*a + 5, 0 = 4*a - 3*k - 18. Suppose 3*q = 2*x + 10, -4*q + 13 = -2*x - a. Calculate the remainder when 23 is divided by q.
5
Let r = -83 + 88. Calculate the remainder when 5 is divided by r.
0
What is the remainder when 52 - -3*2/(-6) is divided by 13?
12
Suppose 4*z - 23 = 9. Calculate the remainder when 46 is divided by z.
6
Let w(u) = 2*u**3 - 2*u**2 - u - 5. What is the remainder when w(4) is divided by 22?
21
Let i be 3 - 0/(3 + 0). Suppose 109 = 5*w - 4*n + 2*n, i*w - 67 = 2*n. Suppose -3*j = -6 - w. What is the remainder when 33 is divided by j?
6
Let m be 51/5 - (-4)/(-20). Suppose 0 = -v + 4*w - 1, 4*w + m = 5*v - w. Let f(s) = -7*s**3 + s**2 - 1. What is the remainder when f(-1) is divided by v?
1
Let y = 7 - 3. Let r = y + -5. What is the remainder when 12 is divided by 1 + r + 28/4?
5
Suppose 5*b = 15 + 5. Suppose b*x + 44 = 6*x. What is the remainder when 64 is divided by x?
20
Let w = -3 + 3. Suppose w = -7*y + 4*y + 15. Suppose -4*l + 3*a + 70 = -17, a = -l + 13. Calculate the remainder when l is divided by y.
3
Suppose -4*f = -f. Suppose f = -3*n - n + 12. Calculate the remainder when n is divided by 2.
1
Let p be -6*(-3)/6*1. Suppose -5*a + 431 = p*n, 2*a - 77 - 101 = -4*n. Suppose 4*t - a = -t. Calculate the remainder when t is divided by 9.
8
Let x(f) = -4*f + 1. Let d be x(-2). Let s = d + 1. Suppose -2*c + 34 = -40. Calculate the remainder when c is divided by s.
7
Suppose 5*y = -2*j + 103, 3*j + 133 = 5*j - 5*y. Let n(g) = g**3 - 5*g**2 - 4*g + 8. What is the remainder when j is divided by n(6)?
19
Let j(n) = -3*n - 1. Calculate the remainder when 21 is divided by j(-3).
5
Let n(u) = -u**3 - 7*u**2 + 7*u - 2. Let f = 9 - 7. Calculate the remainder when n(-8) is divided by f.
0
Suppose a = 4*x - 22 - 76, -5*x - 3*a + 131 = 0. What is the remainder when 97 is divided by x?
22
Suppose -2*l + 5*l = 5*d + 66, 5*d = 0. Calculate the remainder when 84 is divided by l.
18
Suppose -272 = -5*n + 283. What is the remainder when n is divided by 28?
27
Let z(u) = 17*u - 80. What is the remainder when 8 is divided by z(5)?
3
Suppose 5*h = 5*t - 36 - 124, -4*t = -2*h - 138. Let y = -12 + t. Calculate the remainder when 74 is divided by y.
24
Suppose -b + 1 = -3. Suppose -v + w + 5 = 0, -b*v - 23 = 4*w - 83. Calculate the remainder when v is divided by 4.
2
Let z = 8 + 5. Calculate the remainder when 100/(-6)*(-6)/4 is divided by z.
12
What is the remainder when 35 is divided by (3 + -7 - -13)/1?
8
Let g = 3 + 27. Suppose -2*b + 7*b = -g. Let o = b - -10. Calculate the remainder when 6 is divided by o.
2
Suppose -147*h - 21 = -148*h. Calculate the remainder when 40 is divided by h.
19
Suppose -4*m + 2*m + 22 = 3*d, -5*d + 40 = 5*m. Calculate the remainder when 4144/35 + d/10 is divided by 30.
29
Suppose 24 = 5*r + w, 3*r - 5*w = -0*w + 20. Let q be 1/(-5) + 21/r. Let i(o) = o**3 - 4*o**2 + 4*o. Calculate the remainder when 47 is divided by i(q).
15
Let p(h) = 173*h + 2. Let a be p(2). Suppose 4*s = 2*z + 30, -s - 4*s = -z - 39. Calculate the remainder when (6/9)/(8/a) is divided by s.
5
Let b = 18 - 13. Suppose 0 = -3*j - 0 + 3, -c - b*j = -160. Suppose 0 = 5*p - c + 25. Calculate the remainder when 76 is divided by p.
24
Let c = -158 + 260. Let l = c + -49. What is the remainder when l is divided by 14?
11
Suppose 5*m + 3*r - 27 = 15, -3*m - 2*r = -26. Suppose 5*n - 3*f - 23 = 0, 0 = -4*n + m*n - f - 10. Calculate the remainder when n is divided by 4.
3
Suppose 2*q = 5*l + 2, -2*q - 2*l + 4 = 2*q. Let w = q + 1. Suppose w*u = 3*g - 7, 7*u = -5*g + 3*u + 19. Calculate the remainder when g is divided by 2.
1
Let c be 2 + -3 + 1 + 10. Suppose -g - g + c = 0. Suppose 0*p = v + p - g, 4*v - 60 = 4*p. Calculate the remainder when 39 is divided by v.
9
Let t(q) = -q + 1. Let k be t(-7). Suppose 5*g + k = u, 0 = -4*g + 5*g + 3*u - 8. Calculate the remainder when 22 is divided by (-1 + g + -2)*-2.
6
Suppose 2*r - 4 = -0*r. Let w(t) = t**3 + 8*t**2 + 6*t - 6. What is the remainder when r is divided by w(-7)?
0
Let r(b) = -b**2 - 14*b - 1. Let t be r(-4). Suppose -j = -5*d + t, -4*j = d + d + 2. Calculate the remainder when 20 is divided by d.
6
Suppose -5*w - 2*f + 4*f + 89 = 0, 3*w - 5*f - 61 = 0. What is the remainder when (-4)/6 - (-196)/6 is divided by w?
15
Let y(c) = -c**2 - 18*c - 18. Let p be y(-16). Let f = 23 - p. Calculate the remainder when 33 is divided by f.
6
Let j(l) = 3*l - 2. Let z be j(2). Suppose -21 = z*p - 73. Let a = 72 - 47. Calculate the remainder when a is divided by p.
12
Let u(w) = -6 - 4*w**2 - 3*w - w**3 + 6*w**3 - 4*w**3. Let v be u(5). Suppose 6*i - 36 = v*i. Calculate the remainder when i is divided by 10.
8
Suppose 4*o - 4 = 4. Let t be (o/(-1) + 7)/1. Suppose 4*b + h - 3*h - 118 = 0, -t*h = -5. What is the remainder when b is divided by 8?
6
Let p(j) = j**3 - 2*j**2 + 4*j - 3. Let g be p(2). What is the remainder when 37 is divided by (-20)/50 - (-52)/g?
7
Let h(m) = -m*