ivided by 10.
6
Let r = 1048 + -734. Suppose -5*y = -r - 16. Calculate the remainder when y is divided by 35.
31
Suppose 15 = 6*x - 3*x. Let y(t) = -t**2 + 6*t - 3. Let f be y(x). Suppose f = -4*r + 34. Calculate the remainder when r is divided by 5.
3
Let j(p) = -10*p - 244. What is the remainder when 460 is divided by j(-36)?
112
Let a(c) = -12*c**2 + 170*c + 6. Calculate the remainder when 84 is divided by a(14).
16
Let w = 1638 - 1554. Calculate the remainder when 159 is divided by w.
75
Let t(r) = -5*r - 55. Let p be t(0). Let c = -38 - p. Suppose -23 = -2*k - 4*y + 41, 128 = 4*k + 4*y. What is the remainder when k is divided by c?
15
Let j(u) be the third derivative of -u**4/4 + 13*u**3/3 - 2*u**2. Calculate the remainder when j(-28) is divided by 49.
47
Let d = 1221 - 1187. Calculate the remainder when 77 is divided by d.
9
Let t(p) = p**2 + p + 5. Let o be t(12). Suppose o + 19 = 2*f. Suppose x - 5*m = 5*x - 69, 5*x + 5*m = f. What is the remainder when 41 is divided by x?
20
Suppose -2*n + 22 = -6. Calculate the remainder when 97 is divided by n.
13
Suppose -2 = -r + 19. Let k(j) = -j**3 - 8*j**2 - 9*j - 11. What is the remainder when k(-8) is divided by r?
19
Let s(t) = t + 6. Let k be s(-8). Let i be k/(-9) + (-174)/54. Let n(j) = -j**3 - 2*j**2 - j - 1. Calculate the remainder when 30 is divided by n(i).
8
Suppose -4*w - 128 = -9*w - 3*y, 0 = 3*y - 3. Let f = -6 + 5. Let v(m) = -13*m. What is the remainder when w is divided by v(f)?
12
Suppose 0*o = 2*u + o - 13, 4 = 2*u - 2*o. Suppose 6 = -u*b - 34. What is the remainder when (b - -6)/(4/(-38)) is divided by 10?
9
Let r = 22 - 16. Suppose -r*l - 175 = -l. Let s = -10 - l. Calculate the remainder when s is divided by 14.
11
Let n = 259 + -256. What is the remainder when 6 is divided by n?
0
Let b(i) = -i**3 + 6*i**2 - 2*i + 7. Calculate the remainder when (-2)/6 + 524/6 is divided by b(5).
21
Let v = 5 - 1. Suppose -v*z + 16 = 4*a - 2*z, a = 3*z + 4. Calculate the remainder when 14 is divided by a.
2
Let q(s) = -s**3 + 6*s**2 - 5*s + 1. Let u be (-1)/(1*5/(-20)). What is the remainder when 24 is divided by q(u)?
11
Calculate the remainder when 121/(-4)*-10*24/60 is divided by (-6)/9 + 95/3.
28
Suppose -5*l = -3*l - 4. Let q = -1654 + 1655. What is the remainder when l is divided by q?
0
Suppose -4*o + 3*s = -341, 0 = -o - 10*s + 5*s + 68. What is the remainder when o is divided by 8?
3
Let n(t) = 5*t**3 - 3*t**2 - 3*t + 2. Let j be n(-4). Let u = -204 - j. Calculate the remainder when (6/(-2))/((-9)/u) is divided by 17.
16
Let a(n) = 2*n**2 - 4*n + 0*n + 7*n + 2. Let p = 18 + -16. Calculate the remainder when a(-2) is divided by p.
0
Let o(q) = -2*q + 37. Let z be 5/(((-9)/(-3) - 1) + -3). What is the remainder when o(z) is divided by 18?
11
Suppose 4 = -g + 7. Suppose -5*z - g*j = -3, j - 2*j - 13 = -3*z. What is the remainder when 29 - (z + -4 + 2) is divided by 16?
12
Let l(w) = -6*w**2 - 81*w + 42. Let s = 4 + -2. Suppose -4*g - k + 83 = 0, 25 = s*g + 2*k - 15. Calculate the remainder when l(-13) is divided by g.
18
Let d(g) = g**3 - 18*g**2 - 15*g + 8. Let h be d(19). Let r = h - 51. Calculate the remainder when r is divided by -2 + 20 + (-2 - -1).
16
Let m = 6 + -3. Suppose k = 5*i - 3 + 63, -m*k + 4*i + 136 = 0. Suppose l + 43 = 3*g, -12*l = 5*g - 13*l - 71. Calculate the remainder when k is divided by g.
12
Suppose -312*g + 308*g = -116. Suppose 128 = 4*y - 96. Calculate the remainder when y is divided by g.
27
Suppose 2*b = -2*m + 44, 0 = m + m - 4*b - 14. Calculate the remainder when m is divided by 11.
6
What is the remainder when 55 is divided by 169/52 + 5 + (-1)/4?
7
Let z = 0 + -2. Let j(r) = -2*r**2 + 14*r + 32. Let g be j(9). Calculate the remainder when (-6)/g + (-55)/z is divided by 16.
13
Let i(j) = -2*j + 2. What is the remainder when i(-34) is divided by ((1 - 0) + -25)*-1?
22
Suppose 11*d - 696 = 305. Calculate the remainder when 174 is divided by d.
83
Suppose -2*s + 4*q + 69 = 3*s, -30 = -2*s + q. Suppose -4*p = -o + 12 + 16, 4*p = 4*o - 124. What is the remainder when o is divided by s?
15
Calculate the remainder when 186 is divided by -7 - ((4 - 3) + -26).
6
Suppose g + 0 + 3 = 0. Let h be (3 - 0) + 30/g. Let n = 29 + h. Calculate the remainder when n is divided by 8.
6
Suppose 3*m - 12 = -4*r, 4*r + 5*m + 3 = 23. Suppose -23*d + 27*d - 292 = r. What is the remainder when d is divided by 25?
23
Let z be (-2)/4*(-6)/(-1)*3. Suppose 0 = 5*d - 0*g - 2*g - 158, 4*g - 100 = -3*d. Calculate the remainder when ((-3)/z)/((-4)/(-1116)) is divided by d.
29
Suppose -16*g + 312 = -10*g. Calculate the remainder when 202 is divided by g.
46
Suppose -k + 114 = -4*y, 0 = 2*k + 6*y - 5*y - 237. Calculate the remainder when 582 is divided by k.
110
Let d = 383 + -226. Calculate the remainder when d is divided by 40.
37
Suppose -4*c + 16 = -3*c. Let v(r) = -r + 1. Let a(l) = 10*l - 13. Let s(j) = 2*a(j) + 18*v(j). What is the remainder when c is divided by s(7)?
4
Let z(c) = 2*c**2 + 5 + 3 + 27*c + 11. What is the remainder when 17 is divided by z(-13)?
5
Suppose 5*i = -2*j + 18, -5*j + 2*j = 3*i - 18. Suppose 0 = 4*g - u - 30, -4*g - i*u + 40 = 2*u. What is the remainder when g is divided by 5?
3
Let c(n) = -n**2 - n + 11. Suppose -6*j - 45 + 15 = 0. Let s be c(j). Let w(x) = x**2 + 8*x - 7. Calculate the remainder when w(s) is divided by 2.
0
Suppose 2*n - 33 = -21. Calculate the remainder when 36 is divided by ((-18)/n)/(3/2) - -21.
17
Let p = 275 + -245. Calculate the remainder when p is divided by 9.
3
Let g(c) = 3*c**3 - 11*c**2 - 13*c + 3. Let l(b) = -2*b**3 + 5*b**2 + 7*b - 1. Let n(o) = -3*g(o) - 5*l(o). Calculate the remainder when n(-3) is divided by 5.
4
Let c = 68 - -162. Suppose -4*s - 232 = -0*s - 4*v, -4*s - c = -5*v. Let k = s + 95. Calculate the remainder when k is divided by 19.
16
Suppose -4*h = -2*j + 698, 0 = 3*j + 4 - 7. Let a be h/12 - 9/(-6). Calculate the remainder when 37 is divided by (a/(-39))/((-2)/(-114)).
18
Calculate the remainder when 61 is divided by (1 + 0)*(6 + 6 + 1).
9
Suppose 2*c + 14 = c. Suppose -2*k + 204 = 2*k. Calculate the remainder when k is divided by (7/c)/((-3)/108).
15
Suppose 4*o - 177 = -i, -i - 4*o + 177 = -8*o. Calculate the remainder when i is divided by 12.
9
Let v = -4 - -10. Let t be v/10 + (-63)/(-45). Suppose 0 = t*r - 109 + 3. What is the remainder when r is divided by 18?
17
Let o(h) = h**2 - 11*h + 4. Let x be o(10). Let w be (-9)/(-6)*(0 + x). Let z = w + 54. What is the remainder when z is divided by 12?
9
Let a = -68 + 112. Suppose -3*s = l - a, -l - 2*s = -4*s - 39. Calculate the remainder when l is divided by 21.
20
Suppose -3*t + 4 = -2*i + 15, -4*i = 3*t + 23. Let n(v) = v**2 - 5*v - 21. Calculate the remainder when n(t) is divided by 18.
11
Let a(y) = y**3 + 8*y**2 - 9*y + 7. Let q(i) = i**3 + 5*i**2 - 5*i - 3. Let o = 18 - 24. Let d be q(o). What is the remainder when 25 is divided by a(d)?
4
Let r(g) = 2*g**2 + 4*g + 3. Let q(m) = -m**3 - 20*m**2 - 20*m - 11. Let f be q(-19). Let a = 18 + f. What is the remainder when r(-6) is divided by a?
25
Suppose 1800*g - 1798*g = 268. Calculate the remainder when g is divided by 64.
6
Suppose 2*n = -60 + 308. Calculate the remainder when n is divided by 28.
12
Let l(y) be the second derivative of y**3/2 - 4*y**2 - 10*y. Calculate the remainder when 65 is divided by l(10).
21
What is the remainder when (-17550)/(-1575)*(13 - -1)/1 is divided by 32?
28
Suppose -v - o - 1 = 0, 4*v + 8 - 1 = -5*o. Calculate the remainder when (0 + -6 - v)*-10 is divided by 23/(-115) + (-136)/(-5).
26
Let s = 377 - 235. Calculate the remainder when s is divided by 75.
67
What is the remainder when 364 + ((-5)/4)/((-3)/12) is divided by 4?
1
Let j(l) = l**3 - 7*l**2 + 3*l + 13. Let u be (44/2 - 3)/1. Suppose b - u = -2*f, -f - 2*b = -3*b - 8. Calculate the remainder when j(7) is divided by f.
7
Let g(j) = 25*j**2 - 18*j - 2. Calculate the remainder when 1044 is divided by g(1).
4
Let h be -31*(-1 - 0/(-3)). Let d = h + -22. Let q = 15 - d. Calculate the remainder when 9 is divided by q.
3
Let s(m) = -m**3 - 3*m**2 - 3*m - 6. Let g(r) = 40*r**2 + r. Let p be (4 - 21/6)/(3/6). What is the remainder when g(p) is divided by s(-4)?
19
Suppose -2*r + 3*q = 4*q, -9 = -3*r + 3*q. What is