o + 8. Calculate the remainder when g/(-6) + (-91)/(-6) is divided by k.
6
Suppose -c + 3*z + 5 = 4*c, 3*c - 5*z = -13. Suppose -a + 29 = m, -m + c*a = -4*m + 90. What is the remainder when 206 is divided by m?
24
What is the remainder when 260 is divided by 25 + -24 + 1*70?
47
Suppose 261 = 8*t - 275. Calculate the remainder when t is divided by -2 - 2/(4/(-50)).
21
Suppose 3*s + 5*c - 87 = 0, 85 + 36 = 4*s + 5*c. Suppose -3*f + 2*l = l - 291, 5*f + l - 493 = 0. Calculate the remainder when f is divided by s.
30
Let g(d) = -d**3 + 20*d**2 + 32*d - 16. What is the remainder when g(21) is divided by 109?
106
Suppose 3*y - 5*t = 427, 5*t - 647 = -4*y - 101. What is the remainder when y is divided by (-6)/(-9) + (-318)/(-9)?
31
Let o = -335 + 348. What is the remainder when 323 is divided by o?
11
Let f = -180 - -291. What is the remainder when f is divided by 19?
16
Suppose -4*v = 5*a + 6, 5*a - 3*v = -5*v - 8. Suppose 9 = 5*x + 4. Calculate the remainder when 11 is divided by (a + 0 + x)*-4.
3
Let g be (-1)/5*(0 + -65). Let t = 26 - g. Suppose 6 = w - 2. Calculate the remainder when t is divided by w.
5
Suppose 0 = -0*r - 3*r. Suppose -3*g + r*g + 18 = 0. Let z(k) = k**2 - 3*k - 14. What is the remainder when 14 is divided by z(g)?
2
Let j = -213 - -369. Calculate the remainder when j is divided by 40.
36
Let g be -6 + -4 + 2/1. Let d = g + 19. Suppose 4*f + 3*z - 164 = 7*z, -f + 38 = 2*z. What is the remainder when f is divided by d?
7
Let p = -11428 - -11452. Suppose 3*z - 24 = -3*w + 4*z, -z = -2*w + 15. Calculate the remainder when p is divided by w.
6
Let q be (-2)/6*-3*-73. Let m = q - -107. Let a = m - 15. Calculate the remainder when 54 is divided by a.
16
Let i(m) = -m**2 + 15*m + 41 - 3 - 8. Calculate the remainder when i(14) is divided by 15.
14
Let n = 276 + -227. Suppose b = -0*b + 17. Calculate the remainder when n is divided by b.
15
Let y = 8 - 3. Suppose y*l + 1 = 11. What is the remainder when 22 is divided by l?
0
Let u(s) = s**3 - 7*s**2 - 10*s + 18. Let f be u(8). Suppose 0 = 5*p, -r = f*r - 5*p - 267. What is the remainder when r is divided by 18?
17
Suppose -43 = -5*t + 2. Let o(m) = m**3 - 10*m**2 + 11*m - 9. Suppose -6*u = 31 - 133. What is the remainder when u is divided by o(t)?
8
Suppose 23 - 170 = -7*f. What is the remainder when 648 is divided by f?
18
Suppose -5*c - 20 = 0, -7 - 4 = 3*s + 5*c. Suppose v + 8 = -s*v, 0 = -a + 2*v + 19. What is the remainder when 56 is divided by a?
11
Suppose -3*c = 4*b + 95, 12*b - 8*b + c + 101 = 0. Suppose 2*y = 4*y + 20. Calculate the remainder when 64 is divided by b/5*y/4.
12
Let o(x) = -x**2 + 5*x - 2. Let m be o(2). Suppose -2*d - 42 = -m*d. Calculate the remainder when 83 is divided by d.
20
Suppose 3*h = h + 76. Suppose -3*k + 0*k = -30. Suppose k = x - d, d = 6*d. Calculate the remainder when h is divided by x.
8
Suppose -10*y = y - 44. Suppose -129 = -0*h - 4*h - k, y*k = 3*h - 92. What is the remainder when h is divided by 11?
10
Let x(h) = h**3 + 2*h**2 - 14*h - 13. Calculate the remainder when 56 is divided by x(-3).
16
Let i be 2*1/(8/20). Suppose 3*j - 2 = -2*b - 8, -i*b = -j - 2. Suppose b*k + 68 = 2*o - 4*k, 4*o - 2*k = 124. Calculate the remainder when 59 is divided by o.
29
Let a(n) = -14*n - 44. Let f(d) = d**2 - d + 6. What is the remainder when a(-5) is divided by f(0)?
2
Let m = 47 + -174. Let j = -24 - m. Calculate the remainder when j is divided by 35.
33
Suppose -5*b + 260 = 195. What is the remainder when 45 is divided by b?
6
Suppose h + 136 = 2*a, 0 = 3*a + 2*a - 3*h - 340. Let t = -103 - -206. Let k = t - a. Calculate the remainder when k is divided by 19.
16
Suppose 4*u + 4*c + c + 7 = 0, 2*u - 13 = 3*c. Let i be 5*-8 - (-6 + u). Let s = -21 - i. Calculate the remainder when s is divided by 8.
7
Let b = 25 - 23. Suppose -b*g = -i - 19, -4*g - i + 18 + 35 = 0. What is the remainder when 47 is divided by g?
11
Suppose 272*t + 15075 = 1277*t. Let c = 143 + 3. Suppose 0 = u + l - 23 + 1, 4*l = 5*u - c. Calculate the remainder when u is divided by t.
11
What is the remainder when 3 + 0 + (-4)/10*-55 is divided by 21?
4
Let v(g) = g**2 + 14*g + 20. Let s be v(-13). Suppose 3*a - 32 = s. What is the remainder when 51 is divided by a?
12
Suppose 0 = -34*p + 38*p + 44. Let b = -3 + 17. Let q = p + b. Calculate the remainder when q is divided by 3.
0
Suppose -5*w + 3*w + 3*o = -3, -o - 1 = 2*w. Let c(z) = w*z**2 - 2*z + 8*z + 4 + 4*z**2 - 5*z**2. What is the remainder when 4 is divided by c(6)?
0
Suppose -1095 = -12*z - 183. Suppose t + 2*t + 5 = l, -4*l - 2*t = -z. What is the remainder when 48 is divided by l?
14
Suppose -10*o + 9*o = 4*a - 18, -o = -2. What is the remainder when 41 is divided by a?
1
Let w(d) = -17*d - 106. Calculate the remainder when w(-13) is divided by 38.
1
Suppose 4 = -4*v + 3*u, 4*v + 0*u = -3*u + 20. Suppose -3*x = v*x - 40. Calculate the remainder when 22 is divided by x.
6
Suppose -2*f - 2*x = -7*x - 273, -3*f + 4*x = -399. What is the remainder when f is divided by 19?
15
Suppose -2*u + 20 = 4*z - 3*u, 3*u = -3*z + 15. Let i = 7 - z. Calculate the remainder when 8 is divided by i.
0
Suppose j + 2*x = 31, -3*j + 3*x + 46 = -56. Calculate the remainder when ((-81)/(-2))/(j/24 - 1) is divided by 37.
34
Let u = -181 + 193. What is the remainder when 15 is divided by u?
3
Let t(o) = -3*o - 10. Let n(w) = -w. Let s(h) = 4*n(h) - t(h). Let d be s(0). Let r = d + 21. Calculate the remainder when r is divided by 11.
9
Let t(h) = 2*h**2 - h - 5. Let o be t(-5). Suppose -4*c = 12, 4*w = -0*c + 3*c - 135. Let x = o + w. Calculate the remainder when 41 is divided by x.
13
Let d = 6 + -11. Let r(p) = -p**3 - 6*p**2 - 10*p - 14. What is the remainder when 73 is divided by r(d)?
7
Suppose 0 = 11*h - 2*h - 11*h. Suppose h = -4*q + 4*r + 148, 32 = 5*r + 7. Calculate the remainder when 249 is divided by q.
39
Suppose -11*f - 225 = 4*f. What is the remainder when 2/((f/85)/(-3)) is divided by 12?
10
Let m(d) = 16*d**2 - 4*d + 1. Suppose -1 = j - 4. Let u(n) = n**2 + n. Let a(t) = j*u(t) + m(t). Calculate the remainder when a(1) is divided by 10.
9
Let q(u) = u**3 + 23*u**2 + 22*u + 13. Calculate the remainder when 151 is divided by q(-22).
8
Let n = 2512 - 20. What is the remainder when n is divided by 58?
56
Suppose 28 = -5*h + 8, x + 10 = -2*h. Let l be 1*(x - (1 - -1)). What is the remainder when 36 is divided by (-67)/(-5) + l/10?
10
Let t = -31 + 16. Let s(r) = -r**2 - 16*r - 8. Calculate the remainder when s(t) is divided by 3.
1
Let m = -74 - -74. Suppose 2*l + 4*r - 98 = m, 0 = -4*l - 4*r + 115 + 77. What is the remainder when l is divided by 24?
23
Suppose -122 = -5*s + x, 2*x = -17*s + 15*s + 56. What is the remainder when 299 is divided by s?
24
Let s be ((-46)/4)/(1*(-2)/4). Let v(n) = -n**2 + 25*n - 27. What is the remainder when v(s) is divided by 7?
5
Let v = 26 - 22. Suppose -v*w = p - 77, -77 = -4*p + 3*p + 5*w. Calculate the remainder when p is divided by (16/6)/(2/15).
17
Let l(k) = -k**3 - 7*k**2 + 2*k + 10. Let h be l(-7). Calculate the remainder when 18 is divided by (1/4)/(h/(-176)).
7
Let l be (5/20)/((-2)/(-88)). Let t = l - -6. What is the remainder when 33 is divided by t?
16
Let j = 111 - 101. What is the remainder when j is divided by 9?
1
Suppose 5*m - 20 = -0*m. Let z = m + 18. What is the remainder when 62 is divided by 687/33 - (-4)/z?
20
Let h(d) = 2*d**2 - 15*d + 12. Let b be h(13). Let o = b - 110. Calculate the remainder when 179 is divided by o.
44
Let i = -514 + 551. What is the remainder when 132 is divided by i?
21
Suppose -3*u - 96 = -15*u. Let z(i) = 2*i**2 - 15*i + 6. Let f(t) = t**3 + 6*t**2 - 2*t + 5. Calculate the remainder when f(-5) is divided by z(u).
12
Suppose -3*q = u - 63, 0 = 3*q + 5*u - 34 - 29. What is the remainder when q is divided by 5?
1
Calculate the remainder when 64 is divided by (-2 + -8 - -6) + 11.
1
Let k(s) = -s**2 - 8*s - 7. Suppose 7*j + 10 = -18. Calculate the remainder when 30 is divided by k(j).
3
Let s(r) = -r**2 - 9*r. Let w be s(-10). Let y = w + 45. Let z(t) = -5*t - 32. Calculate the remainder when y is divided by z(-10).
17
Suppose 3*c = 11*c - 24. Suppose c*h - 48 = h - s, 4*s = h - 42. Calculate the remainder when h is divided by 16.
10
Let w(j) be the first deriva