324 = 4*s + 3*n. What is the remainder when s is divided by 20?
18
Suppose 0 = -9*z + 12*z - 21. Calculate the remainder when 10 is divided by z.
3
Let o(h) = -h**3 - 5*h**2 - 4*h + 4. Let g be o(-4). Suppose -g - 8 = -4*n. Suppose -43 = -n*z + 14. Calculate the remainder when 74 is divided by z.
17
Suppose 0 = -0*q + q - 7. Let s(y) be the third derivative of y**4/6 - y**3 + y**2. Calculate the remainder when s(10) is divided by q.
6
Suppose 52*u - 75*u = -2001. Calculate the remainder when 693 is divided by u.
84
Suppose -2*f = -5*m - 25, 4 = 3*f - 4*m - 44. What is the remainder when 33 is divided by f?
13
Suppose -5*y - 2*x = -6*x - 154, 0 = -y + 5*x + 14. Suppose -2*i + y = -f, -85 = i - 6*i + 4*f. Let u = 56 + 9. Calculate the remainder when u is divided by i.
14
What is the remainder when 191 is divided by 4 + (18 - -43)/(-1 + 2)?
61
Suppose -8*v = -3*v - 25. Suppose 90 = -0*g - v*g. Let d = g - -21. What is the remainder when 12 is divided by d?
0
Suppose 0 = b + 3*d - 15, d - 41 = -5*b + 3*d. Let j(k) = k**3 - 9*k**2 + 4*k - 1. Calculate the remainder when j(b) is divided by 6.
5
Suppose 0 = 2*h + 565 - 861. Calculate the remainder when h is divided by 53.
42
Let g(n) = 5*n - 13. Let l be g(5). Calculate the remainder when 34 is divided by (l/30)/((-4)/(-60)).
4
Suppose 0*p = -2*p + 786. Let c be p/(-21) + (-2)/7. Let f = 12 - c. Calculate the remainder when f is divided by 8.
7
Let w(t) = -t**3 - 2*t**2 - t - 3. Calculate the remainder when w(-4) is divided by (-9 - -47)*(-5)/(-10).
14
Let i(l) be the first derivative of -6*l + 1/4*l**4 - l**3 - 3 - 7/2*l**2. Calculate the remainder when i(6) is divided by 21.
18
Suppose -6*y = 15 - 39. Calculate the remainder when 44 is divided by y.
0
Let z(x) = 4*x**2 + 7*x + 3. Let o be z(-7). Suppose 2*s - 5*s + o = 0. What is the remainder when s is divided by 74/6 - (-4)/6?
11
Suppose 0*n = 2*x - 4*n + 6, -x - 18 = -5*n. Let g = -142 + 258. Let l = g + -112. Calculate the remainder when x is divided by l.
3
Suppose 5*y + 240 = -4*k, 3*y + 59 = -k + 6. Let t = k - -69. What is the remainder when 8 is divided by t?
0
Calculate the remainder when 1429/9 + (-4 - (-152)/36) is divided by 10.
9
Suppose -g + 3*c = c - 36, -5*c - 132 = -4*g. Let p = 38 - g. Calculate the remainder when (-3)/(-15) + 298/p is divided by 8.
6
Let t = 44 - 10. Let z be 1/((16/20)/(-1) - -1). Suppose 25 = z*f - 70. What is the remainder when t is divided by f?
15
Let q = -1 + 6. Suppose q*j = j + 76. Let d = -65 - -70. What is the remainder when j is divided by d?
4
Let x be 0/(0 - -2) - -2. Suppose 2*m + 188 = -x*b, -3*b + 3*m + m = 296. Let u = -48 - b. What is the remainder when u is divided by 17?
14
Suppose 0*n - n + 5*d - 20 = 0, -d + 5 = 0. Suppose 2*z = 3*z - n*j - 34, -3*z + 76 = -2*j. Calculate the remainder when 118 is divided by z.
22
Let g = 1049 - 1021. Calculate the remainder when 3609 is divided by g.
25
Suppose -590 = -3*n - 314. What is the remainder when n is divided by 49?
43
Let n(i) = -i**2 - i + 1. Let u(l) = l**3 - l**2 - 7*l + 3. Let h(p) = 2*n(p) - u(p). Let k = 31 + -16. Calculate the remainder when h(-4) is divided by k.
12
Let p(l) = -8*l. Let d be p(2). Let v = d + 16. Suppose -4*h + 3*h + 10 = v. What is the remainder when h is divided by 6?
4
Let m(f) = -f - 23. Let k be m(-8). Suppose 0 = 2*o - z + 66, 4*o + 140 = -0*z - 2*z. What is the remainder when -1*k/(-10)*o is divided by 18?
15
Let g = 3 + 17. Let y = -11 - g. Let o = -24 - y. What is the remainder when 24 is divided by o?
3
Suppose -4*g = -3*h - h - 44, -27 = -5*g - 2*h. Let r(p) = -32*p**3 - 10*p**2 - 10*p - 1. Calculate the remainder when r(-1) is divided by g.
3
Suppose -5*h + 35 = 45. Calculate the remainder when h*1/2*-12 is divided by 4.
0
Suppose -1 = 2*h + 9. Suppose 3*y + 36 = 2*n, y - 68 = -5*n + 3*y. What is the remainder when (66/15)/((-1)/h) is divided by n?
10
Let m(j) = 6*j - 6*j**2 + 6*j**2 - 5 + 2 + 2*j**2. What is the remainder when m(3) is divided by 12?
9
Suppose -4 = -b - s, -4*b - 2*s = -0*b - 22. Suppose 0 = -n + 4, d + 5*n = 2*n + 15. What is the remainder when b is divided by d?
1
Suppose 6*s = 4*r + s - 22, 2*s = 3*r - 13. Let x(d) = -9*d + 118. Calculate the remainder when x(11) is divided by r.
1
Let n(t) = t**3 - 5*t**2 + 7*t - 1. Let o be n(3). Let c = o - -3. What is the remainder when 22 is divided by c?
2
Let a(d) = -d**2 + 17*d - 20. Let l = -7 - -18. Let p = 12 + 4. What is the remainder when a(l) is divided by p?
14
Suppose 0 = -3*n - 2*n + 60. Let m = -6 + n. Suppose -5*c - 7 = 2*l, -4*c - 4 = l + 7. Calculate the remainder when l is divided by m.
3
Suppose 1766*b = 1637*b + 1677. Let m(o) = 0 - o**2 - 2*o**3 + 0 - o. Calculate the remainder when m(-3) is divided by b.
9
Let y(r) = r**2 + 2*r. Let d be y(-6). What is the remainder when 16 is divided by 93/15 - (d/(-20))/(-6)?
4
Suppose -63 + 67 = -4*r. What is the remainder when (-1490)/(-10) + (r - 4) is divided by 21?
18
Let b(l) = -l**3 - 14*l**2 - 10*l + 15. Let d be b(-13). Calculate the remainder when 59 is divided by 49/3 - (-8)/d.
11
Let p = 85 - 26. Calculate the remainder when p is divided by 5.
4
Suppose -2*j = -13 + 9. Suppose -j*s - 591 = -4*h - 3*s, 3*h - 449 = 5*s. Let b = h - 85. What is the remainder when b is divided by 17?
12
Let h(z) = -64*z - 362. What is the remainder when 391 is divided by h(-6)?
17
Let k(b) = -b**3 - 6*b**2 + b + 7. What is the remainder when k(-7) is divided by (125/(-15))/(16/(-12) - -1)?
24
Suppose 4*a + 73 = -2*g - 1, -g - 33 = a. Let x = g + 46. What is the remainder when x is divided by 10?
7
Let d = 493 + -250. Calculate the remainder when d is divided by 49.
47
Suppose -7 = -5*y + 33. Let v(w) = w - 1. Let k(d) = -d**2 - 5*d + 16. Let b(n) = -k(n) - 5*v(n). Calculate the remainder when b(5) is divided by y.
6
Suppose -11 = -2*v + 13. Calculate the remainder when 129 is divided by v.
9
Let j(d) = -37*d - 18. Let n be j(-3). Let a = 207 - n. What is the remainder when a is divided by 39?
36
What is the remainder when (-74)/(-259) + (-3090)/(-14) is divided by 71?
8
Let j = 1258 + -667. Calculate the remainder when j is divided by 11.
8
Suppose 9*g = 2*g + 35. Suppose -g*q + q - 5*h = -81, -5*h + 11 = -q. Let x = -61 - -100. What is the remainder when x is divided by q?
11
Suppose 32*o = 37*o - d - 141, 4*o + 2*d - 124 = 0. What is the remainder when 599 is divided by o?
19
Let y = 349 - 301. Suppose u - 180 = 6*u. Let t = y + u. What is the remainder when 57 is divided by t?
9
Suppose -24 = -4*j - 8. Let g(c) = -c**2 + 6*c - 6. Let n be g(j). What is the remainder when n*2*(-150)/(-12) is divided by 13?
11
Let p = 42 - 17. Suppose 5*b - 14 = -2*f + 26, -p = -4*b - 3*f. What is the remainder when 39 is divided by b?
9
Let l = -21 - -32. Suppose -l*a = -a - 170. Calculate the remainder when 32 is divided by a.
15
Calculate the remainder when (-4823)/(-63) + (-72)/(-162) is divided by (-13)/(-3)*(-6)/(-2).
12
Let k = -1050 - -1058. What is the remainder when 486 is divided by k?
6
Let i = -33 + 38. Suppose i*w = -m + 96, -w = -2*w + 5*m + 40. Calculate the remainder when 37 is divided by w.
17
Let z(o) = -o**3 - 2*o**2 + 3*o + 8. Let w be z(-3). Suppose w*l - 4*l = 108. Calculate the remainder when l is divided by 7.
6
Calculate the remainder when (-219)/(-5)*140/42 is divided by 76.
70
Suppose 5*y = 52 - 2. Suppose -39*v - n + 142 = -35*v, -3*n + 41 = v. What is the remainder when v is divided by y?
5
Let u = 40 - 35. Suppose u = -2*s + 17. Calculate the remainder when 10 is divided by s.
4
Suppose 3*p + 4*f + 40 = 0, -3*f + 0*f = -5*p - 115. Let h(x) = x**3 + x**2 - 5*x + 1. What is the remainder when h(4) is divided by (36/(-3))/(15/p)?
13
Suppose 14*v - 101 = 53. Calculate the remainder when 21 is divided by v.
10
Let l(o) = -o**3 + 9*o**2 - 2*o + 5. What is the remainder when l(7) is divided by 18?
17
Let h(z) = -z**2 + 13*z - 7. Let v be h(10). Suppose -v - 859 = -9*q. Calculate the remainder when q is divided by 25.
23
Calculate the remainder when 354 is divided by 6 - (-20)/4*13.
70
Let u = -15 + 23. What is the remainder when 25 is divided by u?
1
Suppose -t = -11*t - 100. What is the remainder when 87 is divided by (-1)/((-4)/t + (-289)/510)?
3
Let z(q) = -q**2 - 7*q - 6. Let x = -18 + 1