 u(i) = i - 3. Let f be u(8). Suppose 0 = f*v - 2*v - 33. Let g(l) = 5*l**2 - 1. Calculate the remainder when g(2) is divided by v.
8
Let k(n) = 10*n**3 + 2*n - 1. Calculate the remainder when 41 is divided by k(1).
8
Suppose 0 = -2*s - 2*s. Suppose -w + 2 = -s*w. Suppose -4*h = 20, -4*h - 19 = -w*y + 51. Calculate the remainder when 49 is divided by y.
24
Let x be 0*((-9)/6 - -2). Let p = 4 - x. Suppose 0*r - p*n = -r, n = -3*r + 39. What is the remainder when 34 is divided by r?
10
Let v(n) = n**2 - 14*n + 11. Calculate the remainder when 41 is divided by v(14).
8
Suppose -3*x = -10 - 14. Calculate the remainder when x is divided by 3.
2
Let x(l) = -7 - 4 + 3*l - 4*l - 2. Let c be x(-9). Let r(f) = f**3 + 4*f**2 - f + 2. What is the remainder when 16 is divided by r(c)?
4
Let r = 102 + -72. What is the remainder when r is divided by 16?
14
Let g be (2 + 0)*(-2)/(-4)*-3. Let l(k) = 13*k. Let t be l(2). Let c = t - g. Calculate the remainder when c is divided by 15.
14
Suppose v - 4*g + 2 = -13, v + 4*g = 25. Suppose -4*i = v*u - 131, -39 = -2*u + u - 4*i. Suppose -21 - u = -4*r. Calculate the remainder when r is divided by 6.
5
Let d be ((-24)/10)/(4/(-110)). Suppose -d + 10 = -4*q + 4*n, 6 = 2*n. Let s = 11 - 5. What is the remainder when q is divided by s?
5
Suppose -5*j + 93 = -2*j - 3*n, 3*n = -4*j + 124. Let w = j + 13. Suppose -3*q + w = q. What is the remainder when 31 is divided by q?
9
Let g = 7 + -5. Calculate the remainder when -3*6/(g*-1) is divided by 20/(-8)*(-3 - -1).
4
Suppose 0 = 4*q + 3 - 31. Let s(m) = 24*m - 4. What is the remainder when s(1) is divided by q?
6
Let o = 8 + 11. Let h = 19 - 9. What is the remainder when o is divided by h?
9
Let v(d) = -9*d + 1. Let a be (1 + 0)/(2/10). Suppose 6 = 2*u + 2*r - 2, 24 = u + a*r. What is the remainder when v(u) is divided by 4?
2
Let l be (-33 + -1)*(-1 + 2). Let b(n) = -10*n + 7. Let g be b(-5). Let s = g + l. What is the remainder when s is divided by 8?
7
Let d(n) be the second derivative of -n**3/6 + 5*n**2 - 3*n. Let y = 2 + 1. What is the remainder when y is divided by d(8)?
1
Let b(u) = -u**3 + 9*u**2 + 12*u - 10. Suppose -2*q + 3*f = -29, -5*q - 2*f + 47 = -f. What is the remainder when 27 is divided by b(q)?
7
Let j(c) = -8*c - 11. What is the remainder when 7/((-1*2)/(-14)) is divided by j(-3)?
10
Suppose 4*c - 32 = 2*c. What is the remainder when (4/3)/((-18)/(-621)) is divided by c?
14
Let p(h) = -75*h + 1. Let g = 4 + -5. Let j be p(g). Suppose 2*x = j + 16. Calculate the remainder when x is divided by 16.
14
Let p(l) = -l**2 + l - 4. Let v be p(-3). Suppose 2*j - 6*j = -20. What is the remainder when (21/4)/((-6)/v) is divided by j?
4
Let x be 8/(-28) + (-256)/(-14). Suppose 0 = 2*z + j - 2, 5*j + 4 = -3*z + 14. What is the remainder when 23 is divided by (z + x)*(-8)/(-12)?
11
Suppose 35 - 10 = z. Suppose 0 = -i - i + s + 43, 5*s - z = -2*i. Calculate the remainder when 59 is divided by i.
19
Suppose 5*v - m - 183 = 0, -2*v + 5*v - m = 109. Let o = -11 - -24. What is the remainder when v is divided by o?
11
Suppose -4*z = 2*x - 7*z - 61, 2*x = 2*z + 58. What is the remainder when 129 is divided by x?
25
Let i(d) = d**2 + 5*d - 4. Let v(f) = -3 + 2*f + 2*f - 2*f. What is the remainder when i(-6) is divided by v(2)?
0
Suppose -5*b + 569 = 3*i, 2*b - 5*i = 228 + 12. Suppose 130 = 5*t - b. What is the remainder when t is divided by 17?
15
Suppose -2 = -2*b + 8. Let q = 6 - b. What is the remainder when 2 is divided by q?
0
Let r(z) = z - 5. Let y be r(7). Let u = y + 6. Suppose -4 = h + 3*m + 2, 0 = -4*h - m + 9. Calculate the remainder when u is divided by h.
2
Let p(w) = -2*w**3 + 3*w**2 + 4*w + 5. What is the remainder when p(-2) is divided by 9?
7
Let k(l) = 3 + l**3 + 3 - 2*l**2 - 5*l**2. Calculate the remainder when k(7) is divided by 3.
0
Let d(p) = -2*p**3 - 2*p - 3. What is the remainder when 67 is divided by d(-2)?
16
Let v = -60 + 218. What is the remainder when v is divided by 32?
30
Let p = -14 + 14. Let r(f) = f**2 + f + 14. What is the remainder when 41 is divided by r(p)?
13
Let t be ((-5)/(15/24))/(-2). Suppose -m + t*y - 7 = 0, 5*m + y = -2*y + 80. What is the remainder when 37 is divided by m?
11
Let o = -63 + 4. Let z = 32 + o. Let r = 42 + z. Calculate the remainder when r is divided by 9.
6
Let h(t) = -4*t - 14. Let f be h(-6). Suppose -5*q = -f - 5. What is the remainder when q is divided by 1?
0
Let g be 8/3*27/(-12). Suppose -20 = -2*y - 2. Calculate the remainder when 1/(-3) - 104/g is divided by y.
8
Suppose -2*f = 2*f - 132. Suppose 2*o = -o + f. What is the remainder when 30 is divided by o?
8
Let k(q) = -2*q**3 - q**2 + q + 1. What is the remainder when 41 is divided by k(-2)?
8
Let j = 9 + -3. What is the remainder when 10 is divided by j?
4
Suppose -5*g = -2*z - 44, 3*g - 5*z - 15 = -0*z. Suppose w - g = -w. Suppose 3*s + 2 = w*s. Calculate the remainder when 1 is divided by s.
0
Suppose -4*r = r - 960. Suppose -s + r = 4*z + 39, 0 = -3*s - 9. Calculate the remainder when z is divided by 14.
11
Let a(n) be the third derivative of n**5/60 + n**4/12 + 2*n**3/3 - n**2. What is the remainder when a(-5) is divided by 7?
5
Let r(f) = 55*f**3 + f**2 - 2*f + 1. Let s be r(1). Suppose 0*b + 5*b = s. Calculate the remainder when 32 is divided by b.
10
Let p = 184 + -159. Calculate the remainder when 73 is divided by p.
23
Let l(s) = 4*s - 30. Let q = 5 + -3. Suppose -q = -3*h + 10. Calculate the remainder when h is divided by l(8).
0
Suppose -5*i + 14 = -21. What is the remainder when 26 is divided by i?
5
Let c(o) = 2*o**2 + 3*o - 10. Calculate the remainder when c(6) is divided by 21.
17
Suppose 2*y = -5*a - 14, 5*y - 16 = a + 3. Suppose 4 = -2*w, y*w - 262 = -2*j - 0*w. What is the remainder when j is divided by 34?
32
Let u = -72 - -144. Calculate the remainder when u is divided by 25.
22
Suppose 0 = -100*z + 95*z + 75. What is the remainder when 36 is divided by z?
6
Suppose -2*r = j + 6, -4*r = 5*j - 0*r. What is the remainder when 31 is divided by 46/j + (-4)/8?
9
Suppose 0 = p - 4*p - 42. Let f = p + 22. Let m = 6 + 8. What is the remainder when m is divided by f?
6
Suppose -5*q - 5*a = -2*q - 135, -194 = -5*q + 2*a. What is the remainder when 77 is divided by q?
37
Suppose -4*s - 74 = -s - 2*d, -5*s + 4*d = 122. Calculate the remainder when 1 + (-4)/(8/s) is divided by 14/(-35)*10*-1.
2
Suppose 8*x = 6*x + 38. Suppose -3*o = -5 - 1, -3*m - 5*o = -76. Let f = 32 - m. What is the remainder when x is divided by f?
9
Let q be 66/(-18) - 4/(-6). Let a = q - -18. Suppose u - 4*u = -a. What is the remainder when u is divided by 4?
1
Let o(j) = -j**3 + 6*j**2 - 3. Calculate the remainder when 2 - -1 - (-59 - 1) is divided by o(5).
19
Suppose 2*r - 10 - 8 = 0. Suppose -4*d = -r*d + 85. Calculate the remainder when 50 is divided by d.
16
Let b = 149 + -84. What is the remainder when b is divided by 23?
19
Let l be (-196)/6 - 1/3. Let j be l/6 + (-2)/4. Calculate the remainder when 6 is divided by j/(-4)*(-16)/(-6).
2
Suppose 237 + 15 = 3*t. Suppose -t = -3*m - m. What is the remainder when m is divided by 8?
5
Let p be 2/7 + 1448/28. Suppose 4*l - 2*l = p. What is the remainder when l is divided by ((-5)/(-2) - 1)*6?
8
Suppose 4*z - 24 = -8. Suppose -z*b - 2*u + 55 = 3, 2*u = -b + 7. Suppose 0 = -g - g + 16. What is the remainder when b is divided by g?
7
Suppose -26 = -2*v + d, 3*v = -9*d + 8*d + 39. What is the remainder when 36 is divided by v?
10
Let v(w) = 52*w**3 + w**2 - w. Suppose -5 = k, -k = -l + 6*l. Let x be v(l). Suppose -q = q - x. What is the remainder when q is divided by 14?
12
Let n be (-1 + 2)/((-2)/(-10)). Suppose -1 - n = -3*h. Let z = h + 8. Calculate the remainder when z is divided by 4.
2
Suppose 7*z = 48 + 22. Let h(i) = i**2 - 4*i + 6. Calculate the remainder when h(6) is divided by z.
8
Suppose 3*g + 14 - 68 = 0. Let c = 99 - 26. Let y = -39 + c. What is the remainder when y is divided by g?
16
Suppose 2*u - 4 = 0, -2*n + 2 = -n - 3*u. Suppose w = 5*w - n. Calculate the remainder when 3 is divided by w.
1
Let c(w) = w**2 - 8*w - 8. What is the remainder when 72 is divided by c(11)?
22
Let r be 2*4 + (0 - 1). Let q(v) = -v**2 + 4*v + 4. Let x(m) = -m**2 + 4*m + 4. Let l(o) = -3*q(o) + 2*x(o). Calculate the remainder