-6. Suppose -t - 14 = -3*m. What is the remainder when 18 is divided by m?
8
Let z be 0/1 - (0 + 2). Let w(y) = -y**2 + 1. Let j be w(z). Calculate the remainder when (-180)/(-6) - (1 + j) is divided by 11.
10
What is the remainder when 8 is divided by 16/(-48) - 10/(-3)?
2
Suppose s + 60 = -s. Let k = 45 + s. Calculate the remainder when k is divided by 6.
3
Suppose -5*k + 7*k - 692 = 0. Suppose 4*d + 0*d = -p + k, 2*d - 176 = p. Suppose -w = 2*w - d. What is the remainder when w is divided by 10?
9
Let g be 0/((-4)/2) - -17. Let m = g - 14. What is the remainder when 8 is divided by m?
2
Suppose 2*a = 5*a - 30. Calculate the remainder when 99 is divided by a.
9
Suppose -28 = -4*z - 4. Calculate the remainder when 33 is divided by z.
3
Suppose 3*b - 6*j - 128 = -j, 5*j = 10. Let k = -37 - -41. Suppose 5*m = k + b. What is the remainder when 28 is divided by m?
8
Suppose 9 = y + 2*m, -4*y + 3*y + 2*m = -9. Calculate the remainder when y is divided by 5.
4
Suppose -154 = -3*j + z, -4*j + j + 150 = 3*z. Let m = 28 - 59. Let g = j + m. Calculate the remainder when g is divided by 11.
9
Let d(i) = i. Let j be d(2). Suppose -j*u + 0*b = 4*b - 40, 5*b = u + 1. Calculate the remainder when u is divided by 8.
6
Let y = 146 + 118. Calculate the remainder when y is divided by 38.
36
Suppose -68 = -3*r + 5*x, -3*r + 8*x = 4*x - 70. Calculate the remainder when r is divided by 7.
5
Let u = -8 + 21. Suppose -4*r = -8*r + 20. Calculate the remainder when u is divided by r.
3
Suppose 5*x + 50 - 235 = 0. Suppose -5*k + 55 = 2*h, -2*k - 4*h = -0*h - 6. What is the remainder when x is divided by k?
11
Let g(c) = c**3 + 8*c**2 + 5*c - 1. Calculate the remainder when 49 is divided by g(-7).
10
Let x(j) = -j**2 + 2. Let a be x(0). Let p(i) = -2*i**3 + 3*i - 2. Calculate the remainder when (4/2 - -13)*a is divided by p(-2).
6
Let d = -118 + 173. Calculate the remainder when d is divided by 15.
10
Let g(c) = 15 - 2*c - c**3 + 3*c + 0*c. What is the remainder when 58 is divided by g(0)?
13
Suppose 0 = -2*h + 12 + 10. What is the remainder when h is divided by 8?
3
Suppose 3*s - 8 = 10. What is the remainder when s is divided by ((-4)/(-1))/((-60)/(-45))?
0
Let k = -1 + 15. Calculate the remainder when (-6)/33 - (-906)/22 is divided by k.
13
Let i(a) = -6*a + 4. What is the remainder when i(-10) is divided by 33?
31
Suppose 0 = h - 4 - 1. Let g be 98/(-3)*(-7 + 4). Suppose 5*y - 88 - 68 = l, -h*l - g = -3*y. Calculate the remainder when y is divided by 8.
7
Let p be 2/(-8) - (-5)/4. Let j(b) = 56*b**2 - 2*b + 1. Let o(v) = 21*v**2 - 2. What is the remainder when j(p) is divided by o(-1)?
17
Let j = -6 + 12. Let d = j - -6. Calculate the remainder when (-212)/(-6) + (-3)/9 is divided by d.
11
What is the remainder when -13*(3 - 4)*4 is divided by 14?
10
Let d(n) = -3*n**2 - n. Suppose -4*a = -8*a - 4. Let b be d(a). Calculate the remainder when b*(-12)/1 - 0 is divided by 13.
11
Suppose 0 = 4*d - 4*g - 3 - 1, 2*g - 4 = -d. Let p(v) = 3*v**2 - 4*v + 2. What is the remainder when 11 is divided by p(d)?
5
Let f be (-1 - (-1 + 1)) + 5. Let j(n) = n**3 - 4*n**2 + 5. Suppose 0 = 2*v - 4 - 2. What is the remainder when j(f) is divided by v?
2
Let b(s) = s**3 + s**2 + s + 21. Let g(t) = t**2 + 5*t + 6. Let d be (-1)/((3/(-15))/(-1)). What is the remainder when b(0) is divided by g(d)?
3
Let y = -35 + 74. Calculate the remainder when y is divided by 15.
9
Suppose -2*g + 10 = -40. Suppose b = -d + 5, b - d = -b + g. Calculate the remainder when 18 is divided by b.
8
Suppose 0 = -2*w + 7*w + 290. What is the remainder when 86 is divided by (w/5)/((-22)/55)?
28
Let z = 497 - 353. Suppose 0 = -2*d + 5*d - z. Calculate the remainder when d is divided by 25.
23
Suppose -4*u = 2*s - 34, -2*s = -0*s - 10. Calculate the remainder when (-30 + -3)/(6/(-4)) is divided by u.
4
Suppose 6*z = 2*z + 132. Suppose a - z = 17. What is the remainder when a is divided by (-2)/5 - 67/(-5)?
11
Suppose 26 = -3*z + 80. Calculate the remainder when 70 is divided by z.
16
Let s = -9 + 12. What is the remainder when 8 is divided by s?
2
Let d = 9 - 6. Suppose -q + d*q = 2*v - 76, v - 5*q = 22. Calculate the remainder when v is divided by 22.
20
Suppose 0*v + 5*v = 2*j + 15, -3*v = -2*j - 9. Suppose j = 5*p, -3*g + 4*p + 11 = 5. Let n = -5 - -6. Calculate the remainder when g is divided by n.
0
Suppose u = 4*u - 9. Calculate the remainder when 3 is divided by u.
0
Suppose 7 + 19 = 2*p. Suppose -53 + p = -4*m. Let t = 20 - 17. Calculate the remainder when m is divided by t.
1
Suppose m = 4*t - 3*m - 240, 3*m = -12. Calculate the remainder when 109 is divided by t.
53
Let m(l) = -l. Let d be m(0). Suppose -2*o + 28 = -d*o. What is the remainder when o is divided by 8?
6
What is the remainder when 225 - (11/(-4) - (-2)/(-8)) is divided by 46?
44
Suppose -7*w + 18 = -3*w + d, -4*w + d + 14 = 0. Suppose w*v + 0*v = 164. What is the remainder when v is divided by 21?
20
Suppose 2*h = -h + 2*f + 14, 2*h - 13 = 5*f. Calculate the remainder when 15 is divided by h.
3
Let h be (-33)/5*(-2 + -3). Suppose 3*v + 2*o = 21, 2*v + o - h = -2*v. Let r = -23 + 40. Calculate the remainder when r is divided by v.
8
Suppose -9*p + 267 + 417 = 0. Let o = 52 + -26. What is the remainder when p is divided by o?
24
Suppose -5*f + 5*c = 228 - 13, 0 = 2*f - 3*c + 86. Let m = f - 4. Let n = 88 + m. What is the remainder when n is divided by 14?
13
Suppose -f = -5*b + 15, 0 = f - 3*b + 4*b + 3. Let z(u) = -12*u. Let i be z(f). Suppose i + 6 = d. Calculate the remainder when d is divided by 23.
20
Suppose 42 = -f - 0*f. Calculate the remainder when 40 is divided by 2/(-1 - 46/f).
19
Let k(i) = -i**2 + 7*i + 2. Let u(f) = f**2 - 12*f + 21. What is the remainder when u(13) is divided by k(5)?
10
Suppose 0 = x + 2*x - 30. Calculate the remainder when 27 is divided by x.
7
Let d = 192 + -59. Calculate the remainder when 36 is divided by (2 - 3)/((-7)/d).
17
Suppose l - 4*y = -3*l + 56, 4*y - 28 = -3*l. What is the remainder when l is divided by 6?
0
Let q(h) = -h + 5. Let n be q(5). Suppose -4*b + 5*f = 4, n*f = -f + 4. Suppose 0 = -5*j - 0 + 10. What is the remainder when b is divided by j?
0
Suppose 0 = -0*z + z - 17. Suppose 0 = 9*m - 7*m - 64. Calculate the remainder when m is divided by z.
15
Let t(i) = i**3 - 3*i**2 + i. Let d be t(3). What is the remainder when 58 is divided by 1/d - (-118)/6?
18
Let w(s) = -231*s**2. Let y be w(-2). Calculate the remainder when 23*(-1 + -1 + 3) is divided by (-2)/(-13) - y/78.
11
Suppose 5*a = 2*a + 6. Suppose -2*m = -5*b - 28, -a*b = -3*m + 34 + 8. What is the remainder when 27 is divided by m?
13
Suppose 0 = -12*j + 10*j + 54. Let y = j + -7. Calculate the remainder when y is divided by 7.
6
Suppose 0 = -17*p + 84 + 273. Calculate the remainder when p is divided by 20.
1
Let r(z) = 6*z**2 - 7*z + 8. What is the remainder when 32 is divided by r(2)?
14
Let o(h) = -h**3 - 7*h**2 - 7*h + 16. Let f be o(-7). Let y = 96 - f. What is the remainder when y is divided by 11?
9
Suppose 0*f - 3*f = -15. Let l(q) = 4*q - 23. Calculate the remainder when l(8) is divided by f.
4
Suppose -4*n - 1 = -5*n. Let h(j) be the third derivative of -j**6/120 + j**5/10 + 7*j**4/24 + j**3/6 + j**2. What is the remainder when h(7) is divided by n?
0
Let k(j) = j**3 - j**2 - j + 7. What is the remainder when 16 is divided by k(0)?
2
Let f(c) = -c**3 + 8*c**2 - 12*c + 9. Calculate the remainder when 32 is divided by f(6).
5
Suppose 3*n + b = -2*b + 18, 3*n - 24 = -5*b. Let r(w) = -1 - n - 4*w + 0*w. Calculate the remainder when r(-3) is divided by 5.
3
Let h(m) = -17*m**3 - 2*m - 1. Let u be h(-1). Suppose -72 = -9*g + g. What is the remainder when g is divided by (-1)/(1 + (-21)/u)?
3
Let a be 12/(-16) + (-30)/(-8). Suppose 5*g = -a*z + 70, g - 2 = -4*z + 29. What is the remainder when 32 is divided by g?
10
Let s(g) be the third derivative of -5/6*g**3 + g**2 + 0*g + 11/24*g**4 + 0 - 1/60*g**5. What is the remainder when s(4) is divided by 8?
7
Let x(r) = r + 1. Let y(v) = -v**2 - 10*v - 14. Let n(a) = 4*x(a) - y(a). Calculate the remainder when n(-13) is divided by 3.
2
Let r = 241 + -141. Suppose -5*w + w + r = 0. Calculate the remainder when w is divided by 7.
4
Calculate the remainder when (0 + (-108)/(-4))/1 is d