 -4*c + 154, 4*a - 5*a = c - 35. Let w = c - 8. Calculate the remainder when w is divided by 19.
10
Suppose 0 = -4*d - 1 + 29. Let r(j) be the first derivative of -j**4/2 + 16*j**3/3 + 19*j**2/2 - 7*j - 3. Calculate the remainder when d is divided by r(9).
1
What is the remainder when 118/(-295) - 2*3187/(-10) is divided by 80?
77
Let z be 2/((-8)/(-12) - 0). Suppose 2*v - 72 = -2*w, 7 = z*v - 4*w - 129. What is the remainder when v is divided by 14?
12
Let j = -8 + 22. Let g be 7 + -6 + (1 - j). Let d = g + 21. What is the remainder when 25 is divided by d?
7
Let z(b) = 2*b + 1. Let g be z(-2). Let v = 30 + g. What is the remainder when 77 is divided by v?
23
Let t = -16 + 26. Suppose -5*a - 2*w + 165 = 0, -3*a + 87 = -a + 5*w. Calculate the remainder when a is divided by (1 + 0)/1 + t.
9
Let u = 4 + -4. Suppose 0 = -5*w - 15, -v + u*v + 22 = -4*w. Let q = 16 - v. Calculate the remainder when q is divided by 4.
2
Let b(c) = c**3 - 3*c**2 - 2. Calculate the remainder when 31 is divided by b(4).
3
Let p = -579 - -591. Let q = 30 + 14. Calculate the remainder when q is divided by p.
8
Calculate the remainder when (-36)/(-7)*(1098/27 - -6) is divided by 51.
36
Let k = 565 + -552. Calculate the remainder when 48 is divided by k.
9
Let w(z) = 2*z**2 + 15*z + 13. Let s(i) = -4*i - 10. Let k be s(7). Let q = k - -54. What is the remainder when w(-10) is divided by q?
15
Suppose -768*p + 779*p = 187. Calculate the remainder when 94 is divided by p.
9
Let h(n) = -4*n. Suppose 70*w - 116 = 69*w - 3*i, -361 = -3*w + 4*i. Calculate the remainder when w is divided by h(-5).
19
Calculate the remainder when 17 - (0 + 2)/2 is divided by (27/(-9))/(1/(-3)).
7
Suppose -4*k = -k + 5*q + 756, -3*q = 0. What is the remainder when 103 is divided by (2 + 0 + 1)*k/(-27)?
19
Let p(f) = 1. Let z(b) = b + 3. Let m(l) = 3*p(l) + z(l). Suppose -2*q = 2*o - 126, -2*o = 5*q - 4*o - 301. Calculate the remainder when q is divided by m(10).
13
Suppose 14*m - 9139 + 2293 = 0. What is the remainder when m is divided by 14?
13
Suppose 4*u = -2*x + 70, 4*u - 6*u = 5*x - 135. Suppose 20 = -5*w - 25. Let d = 16 + w. What is the remainder when x is divided by d?
4
Let o(g) = 785*g**2 - 18*g + 12. What is the remainder when o(1) is divided by 27?
23
What is the remainder when 292 is divided by 1958/33 - (-2 - (-16)/12)?
52
Let r = 315 + -141. Calculate the remainder when r is divided by 25.
24
Let t = -265 - -304. Calculate the remainder when 80 is divided by t.
2
Suppose 20*s + 752 = 67*s. What is the remainder when 184 is divided by s?
8
Let g = -7 - -4. Let h(s) = s**3 + 4*s**2 + 3. Suppose 16*d + 265 = 777. Calculate the remainder when d is divided by h(g).
8
Suppose -5*x + 413 = -3*r, -3*x - 5*r = -r - 242. What is the remainder when x is divided by 18?
10
Let c be (3 - 4)*(-78 - -1). Suppose 0 = -6*l - l + c. Calculate the remainder when l is divided by 3.
2
Let o = 11 + -7. Let n be ((-18)/(-5))/(o/30). What is the remainder when 3/(n/(-6))*-18 is divided by 7?
5
Let d = 36 + -19. Suppose 64*b - 345 = 61*b. Calculate the remainder when b is divided by d.
13
Suppose 141*f - 163*f + 11528 = 0. What is the remainder when f is divided by 31?
28
Suppose -4*k = -5412 - 996. Calculate the remainder when k/30 - 4/10 is divided by 18.
17
Let b(x) = 10*x**2 + 16*x - 11. Suppose 21 = c - 1. What is the remainder when b(-4) is divided by c?
19
Calculate the remainder when 264/3 + (5 - 4)*5 is divided by (3/2)/((-6)/(-128)).
29
Let a(l) be the second derivative of l**4/12 - 5*l**3/3 + 23*l**2/2 + 13*l. What is the remainder when a(10) is divided by 7?
2
Let z = 847 - 770. Calculate the remainder when 230 is divided by z.
76
Let h(d) = d**2 - d. Let z = 9 + -3. Calculate the remainder when h(z) is divided by 16.
14
What is the remainder when 281 is divided by -1 + 1/3 + 9700/582?
9
Let v(q) = -q**2 + 15*q - 9. Let y be v(11). Suppose -7*m + 3*m = k - 176, 2*k = m - y. What is the remainder when m is divided by 11?
10
Let k(a) = 128 + 0*a**2 + 138 - a**2 + 12*a - 283. Calculate the remainder when k(5) is divided by 12.
6
Let n = 1 - -2. Suppose -p - t = 3*t - 23, -5*t = n*p - 76. Suppose 392 - 1456 = -152*k. Calculate the remainder when p is divided by k.
6
What is the remainder when 188 is divided by (-12)/((-279)/504 + (-9)/(-21))?
92
Let q(i) = -i**2 + 16*i + 14. Let l be q(17). Let h(f) = -f**3 - 2*f**2 + 2*f - 1. Let k be h(l). What is the remainder when (6 - k)/(2/19) is divided by 10?
8
Let i = 9660 + -9643. What is the remainder when (82/3)/((-2)/(-6)) is divided by i?
14
Let f(h) = -2*h + 81. Calculate the remainder when f(28) is divided by (-18)/(-2) + 7 + -3.
12
Let l(u) = 3*u**2 - u - 1. Let z be l(2). Let s = 14 - z. Calculate the remainder when s is divided by 74/26 - 32/(-208).
2
Suppose 2*z + 22*d - 88 = 20*d, z = 2*d + 41. Calculate the remainder when z is divided by 12.
7
Let t be 8/52 - 441/(-91). Suppose -t = -5*c + 75. What is the remainder when 237 is divided by c?
13
Let s(g) = 4*g**2 + 3*g - 8. Let l be s(-9). Let b = l - 203. Suppose -2*d - 4 - 5 = -w, 4*w + 2*d = b. What is the remainder when w is divided by 5?
4
Suppose -230*c + 328 = -189*c. What is the remainder when 173 is divided by c?
5
Suppose -19*u + 28*u = 54. Calculate the remainder when 80 is divided by -2*(-1)/u + 1125/27.
38
Calculate the remainder when ((-1575)/420)/(1/(-28)) is divided by 9.
6
Suppose -2*b + 3*g + 58 = -0, -g + 39 = b. Calculate the remainder when 244 is divided by b.
34
Suppose -3*v = -3*b + 156, 0*b - b = 3*v - 32. Let i = 59 - b. Calculate the remainder when 69/12*1*4 is divided by i.
11
Let t(b) = -b**2 + 22*b + 15. What is the remainder when t(18) is divided by 6?
3
Let s(p) = p**3 - 5*p**2 + p + 1. Let o be s(5). Suppose 0 = 3*c - o*c - 72. Let x = c + 76. What is the remainder when x is divided by 18?
16
Let l(g) = g**3 - 7*g**2 - 6*g. Suppose -24 = 3*r - 6*r. What is the remainder when l(r) is divided by 9?
7
Calculate the remainder when 183 is divided by 96/5*-45*(-24)/324.
55
Suppose -71*f + 74*f = -15. Let t = 17 - f. Let g = -173 - -260. What is the remainder when g is divided by t?
21
Suppose 297 = -18*u + 2205. What is the remainder when u is divided by 28?
22
Let n(j) = j**3 - 16*j**2 - 35*j - 14. What is the remainder when 0 - -3 - 40/(-2) is divided by n(18)?
3
Let i = 291 + -246. What is the remainder when i is divided by 23?
22
Suppose 0 = 66*b - 21*b - 23625. Calculate the remainder when b is divided by 31.
29
Let m be 3711/12 + (-2)/8. Let r = m - 167. Suppose 2*w + 2*n + 26 = r, -3*w = 4*n - 179. Calculate the remainder when w is divided by 18.
17
Suppose -u - 3 = -3*m, -2*u + 4*m + 14 = 3*m. Let n be ((-2)/3)/((-3)/u). Suppose -47 + 13 = -n*d. What is the remainder when d is divided by 9?
8
Suppose 0 = v + 6*s - 2*s - 24, -2*s = 0. Suppose -2*b + 28 + v = 0. Calculate the remainder when 101 is divided by b.
23
Let f be -3 + 0 + (-1)/(-2)*6. Calculate the remainder when 36 is divided by (f - (1 - 0))/((-37)/481).
10
Let m = 9 + -2. Suppose 4*c - 3*s = 39, m + 15 = 2*c - 4*s. What is the remainder when 23 is divided by c?
5
Let m(b) be the first derivative of b**3/3 + 9*b**2/2 - 17*b - 28. Calculate the remainder when 157 is divided by m(-14).
51
Suppose 0 = v + u - 52, -v + 4*u = -6*v + 261. Suppose 0 = -3*p - 5*p + 1680. What is the remainder when p is divided by v?
51
Let p(t) be the first derivative of 2*t**3/3 - 3*t**2/2 - 3*t - 10. What is the remainder when p(-6) is divided by 13?
9
Suppose 3*q = -3*j + 81, -q + 1 = 3. Calculate the remainder when 198 is divided by j.
24
Let w = 156 + -131. What is the remainder when 119 is divided by w?
19
What is the remainder when (85 + -88)*(-1 - 106) is divided by 33?
24
Let b be (2 + (-12)/3)/(-2). Let p be 2/3*(17 + b). Suppose 3*y + 0 + p = 0, -7 = -s - 2*y. What is the remainder when 104 is divided by s?
14
Suppose -106*k - 1631 = -108*k - 5*c, -k + 4*c + 835 = 0. Calculate the remainder when k is divided by 75.
73
Suppose -5*j - 25 = 3*t + 13, t - 2*j + 20 = 0. Calculate the remainder when ((-459)/18)/((-6)/8) is divided by 3/(-24)*6*t.
10
Let q(n) = n - 1. Let s be q(8). Suppose -b = -o, 3*b - s = o + 3. Calculate the remainder when -4*(-2)/4 + 16 is divided by b.
3
Suppose -2*v - 212 = -0*v - 2*g, -4*v + 5*g