 Let g = 24 + x. Suppose -g*k + 11*k - 11 = 0. Calculate the remainder when k is divided by 7.
4
Let q(x) be the second derivative of x**3/2 - 2*x**2 - x. What is the remainder when (-5 - 689/65)*30/(-9) is divided by q(6)?
10
Suppose 19*x - 2*x = 527. What is the remainder when 123 is divided by x?
30
Let a be 14/42 + 1/(-3) + -3. Let k = 104 - 71. What is the remainder when k is divided by 4/((-24)/a)*34?
16
Suppose 12*r - 309 + 45 = 0. What is the remainder when r is divided by 21?
1
Suppose 0 = 5*n - 4*n - 14. Let q(k) = -k**3 + 5*k**2 + 4*k - 4. Let w be q(6). Let z = 42 + w. Calculate the remainder when z is divided by n.
12
What is the remainder when 118 + 0 + (-7)/7 is divided by 5?
2
Suppose -4*i - 5*a - 206 = -2*a, -i = -4*a + 61. Let t = -37 - i. What is the remainder when 30 is divided by t?
14
Suppose 7*g = 2*g. Suppose g*q + 4*q - 80 = 0. What is the remainder when 79 is divided by q?
19
Let j(h) = -h**2 + 31*h - 167. Calculate the remainder when 316 is divided by j(11).
51
Let r(w) = 3*w**2 - 3*w - 3. Let b(y) = y**3 + 8*y**2 - 3*y - 12. Let o be (3 - 7)/2 + -5. What is the remainder when b(o) is divided by r(-2)?
13
Let s = -495 + 653. Calculate the remainder when s is divided by 36.
14
Let u be 184/1 - (6 + -8). Suppose -22*i + u = -19*i. What is the remainder when i is divided by (10 - 0)*16/5?
30
Let j = 63 + -36. Let r(x) = 4*x**2 + x + 2. Let d be r(2). Let y = 27 - d. What is the remainder when j is divided by y?
6
Let q be -6 - -6 - 0/2. Suppose q = r - 5*r - 16, 5*o - 39 = r. Suppose 160 = -w + 6*w. What is the remainder when w is divided by o?
4
Let b = 5 + -8. Let f = 72 + -47. Calculate the remainder when 35 is divided by 230/f + b/15.
8
Suppose 4*g = 20*g - 2560. What is the remainder when g is divided by 85?
75
Suppose 5*l = -d + 162, l - 13 = -d + 21. Calculate the remainder when l is divided by 17.
15
Suppose y + 46 = 3*y. Suppose -2*b + 52 = 36. Calculate the remainder when y is divided by b.
7
Calculate the remainder when 588 is divided by (7 - -313)/5 - 5.
57
Let z = -39 - -81. Calculate the remainder when z is divided by 25.
17
What is the remainder when (-3 + (5 - -1))*36 is divided by 32?
12
Let t = -1761 - -3249. What is the remainder when 73 is divided by t/40 + 8/10?
35
Suppose 0 = -3*k - m + 13, 2*k + 0*m = -3*m - 3. Let x(a) = 7*a - 10. Let z be x(k). Let q = -23 + z. What is the remainder when 35 is divided by q?
8
Let t = -1 - -4. Suppose 0 = 3*v - 19 + 85. Let c = 29 + v. What is the remainder when c is divided by t?
1
Suppose 6*z + 80 = 4*c + z, 0 = -5*c - 4*z + 59. Calculate the remainder when 302 is divided by c.
2
Let d be (-1 + 0)/((-5)/45). Let r = 13 - d. Suppose -120 = -5*j - 45. What is the remainder when j is divided by r?
3
Let o(x) = x**3 - 5*x**2 + 2*x - 7. Let a be o(5). Let b(u) = -11*u + u**3 + 4*u + 2*u**2 + a*u**2. What is the remainder when 22 is divided by b(-6)?
4
Suppose 748 - 112 = 12*k. What is the remainder when 154 is divided by k?
48
Let w(z) = -z**3 - 5*z**2 - 14*z - 18. Let h = -279 + 474. What is the remainder when h is divided by w(-4)?
19
Suppose -189 = 78*j - 81*j. Calculate the remainder when 124 is divided by j.
61
Let m = 4 + 30. Suppose -24*i + 152 = -16*i. Calculate the remainder when m is divided by i.
15
Let k(x) = 5*x**2 + 2*x + 1. Let t be k(-1). Suppose u - 96 = -t*c - 3*u, 4*u - 121 = -5*c. What is the remainder when c is divided by 14?
11
Suppose 31*b - 38*b + 21 = 0. Calculate the remainder when b is divided by 2*1/(-4)*-4.
1
What is the remainder when ((-2)/2)/(20/(-1660)) is divided by 44?
39
Let r = 1330 + -1001. What is the remainder when r is divided by 30?
29
Suppose -11*y = -13*y + 80. Calculate the remainder when y is divided by 7.
5
Suppose -4*a + 41 = 53, 3*a - 21 = -5*g. Calculate the remainder when 23 is divided by g.
5
Let k(j) = -j**3 + 9*j**2 + 5*j - 13. Let d be k(9). What is the remainder when 54*-4*(-4)/d is divided by 10?
7
Calculate the remainder when (-5 + 3)*(-2 + 4242/(-12)) is divided by 8.
7
Let r(h) be the third derivative of 7*h**6/60 + h**3/6 - 4*h**2. Let u be r(1). Suppose u = -4*n + 51. What is the remainder when n is divided by 4?
1
Let l(d) = -d + 11. Let o be l(9). Let g be (-2 + 270)*(3 - o). Suppose w - g = -3*w. Calculate the remainder when w is divided by 17.
16
Suppose -t + 4 = -36. Let k = t + -22. What is the remainder when 34 is divided by k?
16
Suppose -3*a + 3*j + 210 = 0, 10*j = 3*a + 14*j - 210. Calculate the remainder when 188 is divided by a.
48
Suppose 5*a = 3*j + 7, -2*j + 44 = 2*j + 4*a. Suppose j*x - 8*x - 3*h + 22 = 0, 4*h = -3*x + 33. Calculate the remainder when x is divided by 3.
2
Let v = 47 - 42. Suppose -5*x - 31 - 72 = -y, -2*x = -v*y + 469. What is the remainder when y is divided by 19?
17
Let a(p) = 8*p**2 - 15*p - 4. What is the remainder when 55 is divided by a(3)?
9
Let b = 15 - 12. Suppose 5*q = 3*r - 29, -q = b*q + 3*r + 7. What is the remainder when ((-42)/q)/(12/112) is divided by 33?
32
Let o = 5 + 4. Let f(c) = c**3 - 8*c**2 - 7*c + 3. Let z be f(o). What is the remainder when 1374/z + 24/(-56) is divided by 17?
14
Let a(s) = -s**2 + 6*s - 13. Let f be a(3). Let i be 2 + 1/((-1)/(-20)). Let m = f + i. What is the remainder when 33 is divided by m?
15
Let v(t) = -t**3 + 2*t**2 - 2*t + 1. Let l be v(1). Suppose 5*u = o - 24, -2*o = -7*o + 4*u + 57. What is the remainder when 70 is divided by (-9 + l)*(o - 11)?
16
Suppose 3*v - 5*f = -18, 0 = -v - 2*v + 2*f - 18. What is the remainder when 23/2 + 9/v is divided by 3?
1
Suppose -10*t + 5*t = 0. Suppose 3*i - 12 = -u + 14, -u - 5*i + 36 = t. What is the remainder when 65 is divided by u?
10
Let c be (1 - (-12)/(-8))*22. Let i(t) = t**2 + 13*t. Let g be i(c). Let m = g - -38. What is the remainder when 62 is divided by m?
14
Suppose -258*d + 254*d + 152 = 0. What is the remainder when 52 is divided by d?
14
Suppose -4*p - 12 = 0, -448 = -4*j + 2*j + 2*p. What is the remainder when j is divided by 73?
2
Let n = 10 + -6. Let t = 25 - 23. Suppose -t*l = -5*l + 51. What is the remainder when l is divided by n?
1
Suppose 3*n - 30 - 201 = 0. Suppose 5*q + 17 = n. Calculate the remainder when 43 is divided by q.
7
Let v be (1 + 1)/(-1 - -2). Calculate the remainder when 26 is divided by (40/(-14))/(v/(-7)).
6
Let s(v) = -22*v + 14. What is the remainder when 113 is divided by s(0)?
1
Suppose 11*s = -26*s + 1258. Calculate the remainder when 38 is divided by s.
4
Suppose 0*s = -2*n - 5*s + 356, 0 = s + 4. What is the remainder when n is divided by 26?
6
Suppose 4*g = 5*g + 12. Calculate the remainder when 179 is divided by ((-3)/g)/1 + (-143)/(-4).
35
Let g = 474 + -456. Calculate the remainder when 520 is divided by g.
16
Let g = -9 - -54. Let v(f) = 10*f - 57. Calculate the remainder when g is divided by v(8).
22
Suppose 2*c - 4*b - 20 = 3*c, 2*b - 38 = c. Calculate the remainder when (c + 29)*(28/3)/(-2) is divided by 3.
2
Let p = -102 - -178. Calculate the remainder when p is divided by 17.
8
Let p(h) = 9*h + 1 - 1 - 4 + 3. Let i = 94 + -64. What is the remainder when i is divided by p(1)?
6
Let u(m) = m**2 - 4*m + 7. Suppose -k - z = -5, -15 = -6*k + 3*k + 2*z. Calculate the remainder when 59 is divided by u(k).
11
Let h = 1171 + -1068. What is the remainder when h is divided by 54?
49
Let l be (2/2)/((-2)/6). Suppose 0 = 16*u - 13*u - 48. What is the remainder when 126*1/(-6)*l is divided by u?
15
Suppose 2*p + 12 - 16 = 0. Suppose p*o = 5 + 3. Suppose -69 = v - o*v. Calculate the remainder when 112 is divided by v.
20
Suppose 3*d - 8*o - 122 = -9*o, -5*o - 5 = 0. Calculate the remainder when 5 + (114 - -5) + -3 is divided by d.
39
Let l = 71 + -78. What is the remainder when (l - 1)/(1/(-10)) is divided by 23?
11
Let d be ((-4)/3)/(4/6) - -64. Suppose d = 2*f - w + 3*w, 61 = f - 5*w. Calculate the remainder when 70 is divided by f.
34
Let s(q) = -10*q - 1. Let b(t) = 18*t + 2020. Calculate the remainder when b(-111) is divided by s(-1).
4
Let u(b) = -b**2 - 39*b - 62. What is the remainder when 227 is divided by u(-36)?
43
Suppose 0 = 2*r + r. Suppose 2*v + 0*v - 26 = r. What is the remainder when (24/(-228) + (-1440)/38)/(-1) is divided by v?
12
Let i(j) = 5*j**3 - 4*j**3 + 3*j - 2 + 0*j. Suppose -11 = -w + 12. What is the remainder wh