ose 0 = -3*f + 5*g + 30 + 4, -f + 26 = 2*g. Let j(v) = v**2 + v + 4. What is the remainder when f is divided by j(-3)?
8
Suppose 13*q + 176 - 1021 = 0. Calculate the remainder when q is divided by 14.
9
Let u = 24 + -39. What is the remainder when (-2 + 4)*(-2 - u) is divided by (-1)/(5 - 180/35)*2?
12
Let r be 2/(-7) + 489/21. Suppose -g + r = -2*g. Let l = g - -72. What is the remainder when l is divided by 10?
9
Let p(y) = 17*y**3 - 2*y**2 - y + 2. Let d be p(1). Suppose -12*n + d*n = 32. Calculate the remainder when 54 is divided by n.
6
Let f = 3 + 3. Let y(s) = 2*s + 6. Let q be y(f). Suppose 0*p + p - q = 0. What is the remainder when p is divided by 5?
3
Let l(x) = 6*x**2 + 11*x + 40. Calculate the remainder when l(-4) is divided by 24.
20
Let x(f) = -f**2 + 22*f + 49. What is the remainder when 284 is divided by x(23)?
24
Let p be 18*(-3)/4*2. Suppose -4*k - 4*z + 0*z = -380, 286 = 3*k + 2*z. Let m = p + k. What is the remainder when m is divided by 24?
21
Suppose -4*n - 2*q + 180 = 0, 207 = n + 4*n - 2*q. Let y = -25 + n. Let p = -12 + 22. What is the remainder when y is divided by p?
8
Suppose -4*b + 206 = 42. Let c = -27 - -80. Suppose 5*j = c + 17. Calculate the remainder when b is divided by j.
13
Let z(i) = -17*i - 12. Let h be z(-6). Suppose 16*j - 19*j = -h. What is the remainder when 149 is divided by j?
29
Suppose -151*m = -152*m + 21. What is the remainder when 100 is divided by m?
16
Let c be -1 + 41 + (1 - 0). Let w(z) = 2*z - 9. Let x be w(-5). Let q = c + x. Calculate the remainder when q is divided by 8.
6
Let t(i) = 41*i**2 + 15*i + 7. What is the remainder when t(6) is divided by 63?
61
Suppose 0 = -166*z - 59*z + 60*z + 15345. Calculate the remainder when z is divided by 2/5 - 186/(-10).
17
Let v = -370 + 413. Calculate the remainder when v is divided by 37.
6
Suppose 0 = -1683*j + 1674*j + 3537. Calculate the remainder when j is divided by 80.
73
Let p = -569 - -593. What is the remainder when 452 is divided by p?
20
Suppose t - 11 = 11. Suppose -2*y - 3*y = 0, 4*y = 4*a - 248. What is the remainder when a is divided by t?
18
Suppose 0 = -67*z + 3411 + 125363. Calculate the remainder when z is divided by 148.
146
Suppose -504 = -6*x - 12*x. What is the remainder when 40 is divided by x?
12
Let s(o) = o**3 - 10*o**2 - 6*o + 4. What is the remainder when s(11) is divided by 20?
19
Suppose -2*s + 14 + 32 = 0. Calculate the remainder when 66 is divided by s.
20
Let n(d) = d**2 - 6*d + 7. Suppose 5*p - 80 = 5*w, 2*p + 3*w = 27 + 5. Calculate the remainder when n(6) is divided by ((-20)/p)/((-1)/4).
2
Let f(r) = r**2 - 12*r + 15. Let p be f(11). Suppose 172 = 8*d - p*d. Suppose -23 = -3*o + d. Calculate the remainder when o is divided by 8.
6
Let t(w) = 42*w - 14. Let s be t(6). Let p = 0 + 0. Suppose -4*b - d + s = 0, -4*d = -p*b + 4*b - 244. What is the remainder when b is divided by 15?
14
Let i(q) = 64 - 23 + 2*q - 21. What is the remainder when i(17) is divided by 14?
12
Suppose 0 = -x + 3*f + 31, -2*f + 53 = x + 37. Calculate the remainder when 56 is divided by x.
12
Let d(h) = h**3 - 7*h**2 + 8*h + 2. Suppose 0 = 2*k - 18 - 90. Let j = 0 + k. What is the remainder when j is divided by d(6)?
12
Let n(z) = -z**3 - 5*z**2 - 5*z - 10. Suppose 21 = -5*d - 14. What is the remainder when n(d) is divided by 21?
18
Suppose -5 - 1 = -q + 3*p, 3*q = -4*p - 8. Suppose 2*s - 4 - 8 = q. Let c(t) = 4*t**3 + 28*t**2 - 6*t - 20. What is the remainder when c(-7) is divided by s?
4
Calculate the remainder when 73 is divided by (3 - 11/5) + (-91)/(-5).
16
Suppose -6*r - w - 167 = -r, -w = -2*r - 64. Let c = r - -43. Calculate the remainder when c is divided by 5.
0
Let d = 630 - 614. What is the remainder when 687 is divided by d?
15
Calculate the remainder when 89 is divided by (-136)/(-1020) - 358/(-15).
17
Let q = 0 + 2. Suppose -q*z = 5*j - 75, -z + 2*j + 7 = -26. Calculate the remainder when z/(-14)*(-164)/10 is divided by 15.
11
Let z(w) = -w**2 + 7*w + 106. Let t(m) = 12*m**2 - 1. Let r be t(-1). Calculate the remainder when (r + 0)*1*2 is divided by z(14).
6
Let l = 56 - 40. What is the remainder when l is divided by 10?
6
Let p = -61 - -97. Let q = -20 + p. Calculate the remainder when q is divided by 6.
4
Let r = 76 + -58. What is the remainder when 373 is divided by r?
13
What is the remainder when (161 + 10)*10/6 is divided by 97?
91
Let m = -30 + 49. Let l = m - -11. Let z = 44 - l. What is the remainder when 39 is divided by z?
11
Let f = 322 + -314. What is the remainder when 24 is divided by f?
0
Suppose s = 4*m - 204, -3*m + 5*m - 4*s = 116. What is the remainder when 93 is divided by m?
43
Suppose 2*d - 8*d = -42. Calculate the remainder when 18 is divided by d.
4
Let k be ((-11)/(-2))/(3/30). Suppose -f = 4*f - k. Calculate the remainder when f is divided by 7.
4
Let f = -700 + 880. What is the remainder when f is divided by 33?
15
Let q = 436 + -433. What is the remainder when 95 is divided by q?
2
Suppose -3*o + 31 = 2*q, -q - 3*q = 4*o - 48. What is the remainder when o is divided by 2?
1
Suppose -20*r + 8 = -52. What is the remainder when 26 is divided by r?
2
Suppose 0 = t + t - 4. Suppose -t*u = -6*c + 4*c + 58, 3 = -u. Calculate the remainder when c is divided by (4/2 - 1) + -1 + 7.
5
Let p(d) = -d**2 - 8*d + 2. Let z be p(-11). Let u = z + 38. What is the remainder when u is divided by 2?
1
Suppose 25*h - 2*g - 423 = 22*h, 8*h - 2*g = 1148. Suppose -2*f = -3*d - 89, -4*f + 2*f - 3*d = -59. Calculate the remainder when h is divided by f.
34
Let m = -25 - -43. Calculate the remainder when 148/5 + 1 - 62/(-155) is divided by m.
13
Let s = -96 - -110. What is the remainder when 136 is divided by s?
10
Suppose 2*z - 687 = -3*o, -z - 68 = 3*o - 416. What is the remainder when z is divided by 111?
6
Suppose -14*h + 107 + 47 = 0. Calculate the remainder when 30 is divided by h.
8
Let j(y) = y + 18. Suppose 5*u = 12 - 37. Let s(n) = -n**2 - 8*n - 4. Calculate the remainder when j(14) is divided by s(u).
10
Let d be (2/1 - (4 + -1))*10. Let g(q) be the first derivative of q**4/4 + 3*q**3 - 6*q**2 + 12*q - 2. Calculate the remainder when g(d) is divided by 18.
14
Let q be (6/18)/(1/12). Suppose 0 = q*r + 4*n - 136, -r + 3*r - 92 = 4*n. Let h = 39 - 26. Calculate the remainder when r is divided by h.
12
Let q(s) = -s**3 + 12*s**2 - 32*s + 8. What is the remainder when 121 is divided by q(7)?
5
Suppose -39 = -2*m - 0*m + 5*o, m - 42 = -2*o. What is the remainder when 155 is divided by m?
27
Let d be 2/4*0 + 5. Suppose 17 = d*r - 4*r. Let a = r + -7. What is the remainder when a is divided by 3?
1
Let g(t) = 39 - t**3 - 4*t**2 + 40 + 4*t - 91. What is the remainder when 68 is divided by g(-6)?
32
Suppose 34*p - 861 = 13*p. Calculate the remainder when 74 is divided by p.
33
Let a = 2 + 5. Suppose 0*y = 2*y + 3*w - 4, y - 2 = -4*w. Calculate the remainder when 5 is divided by (-5 + a)/(-1 + y).
1
Suppose -173 = -4*y - 5*t, 2*t + 0*t - 195 = -5*y. Let g be (3 + 100/(-12))*54/12. Let q = y + g. Calculate the remainder when q is divided by 4.
1
Let h = -110 + -426. Calculate the remainder when (2 - 4)/((-4)/h*-4) is divided by 14.
11
Let f = -496 - -499. What is the remainder when 103 is divided by f?
1
Let p(n) be the second derivative of 5/3*n**3 - 4*n - 1/20*n**5 + 3/4*n**4 + 0 + 3/2*n**2. Calculate the remainder when 4 is divided by p(10).
1
Suppose -t + 6*t - 480 = 0. Calculate the remainder when t is divided by -7 + 24/6 - (-28 + 0).
21
Let t(g) be the third derivative of -5*g**4/6 - 2*g**2. Suppose 3*f - f + k - 160 = 0, 5*f - 401 = -3*k. Calculate the remainder when f is divided by t(-1).
19
Calculate the remainder when 8769/74*(-1)/3*-2 is divided by 23.
10
Let s(u) = -20*u - 93. Suppose -5*m = -0*m - 80. What is the remainder when m is divided by s(-5)?
2
Suppose 521 = 44*s - 7. Calculate the remainder when 175 is divided by s.
7
Let g(j) = j**2 + 8*j + 5. Let h be g(-5). Let u = h - -49. Calculate the remainder when u is divided by 20.
19
Let n = 2 - 8. Let o(x) = -x**3 - 6*x**2 - x + 3. Let h be o(n). Suppose -4*q + 7 = -h. Calculate the remainder when q is divided by 4.
0
Let p(b) = -32*b**2 - 4. Let l be p(-2). Let r = -73 - l. Calculate the remainder when r is divided by 15.
14
Suppose -64*o - 170 = -74*o