 Suppose 0 = 3*s - 5*s + 6. Suppose 4*u - 59 = -s. What is the remainder when h is divided by u?
13
Suppose 2 - 449 = -3*l. Calculate the remainder when l is divided by 22.
17
Let k(q) = 13 + 0 - 2*q - q - 5. Calculate the remainder when 12 is divided by k(1).
2
Suppose 517 = 4*t + 3*x, -512 = t - 5*t - 4*x. Suppose -1902*f + 180 = -1898*f. What is the remainder when t is divided by f?
43
Let n be (-8)/(-20) - 366/(-10). Suppose -q = 3*h - n, -2*q + 1 = -h + q. Let a(k) = k**3 - 5*k**2 + 8*k - 9. What is the remainder when h is divided by a(4)?
4
Let n = -47 - -38. Let s(q) = -q**3 - 9*q**2 - 4*q + 11. Calculate the remainder when s(n) is divided by 10.
7
Suppose -5*j + 125 = -4*s, -5*s = -j + 41 + 5. Suppose -5*z + 56 = -y, -4*z + y = -6*z + 28. What is the remainder when j is divided by z?
9
Let y be 3*(-7)/(-4 + 5). Let j = -8 - y. Calculate the remainder when 25 is divided by j.
12
Let g(l) = 2*l**2 - 6*l + 37. What is the remainder when g(4) is divided by 31?
14
Let h(b) = b**3 + 20*b**2 - 2*b - 10. Let m = -7 - 13. What is the remainder when h(m) is divided by 20?
10
Let s(q) = q**2 - q - 18. What is the remainder when s(-5) is divided by 12?
0
Suppose -7*t + 3*t + 1190 = 2*d, t + 2*d = 290. Calculate the remainder when t is divided by 43.
42
Suppose 2*d - 596 = -418. What is the remainder when 444 is divided by d?
88
Suppose 62 = -2*k - 5*t, -87 + 16 = 3*k + 2*t. Let g = 30 + k. What is the remainder when 24 is divided by g?
6
Suppose -21*m - 21 = -22*m. Calculate the remainder when m is divided by 5.
1
Suppose -86*o - 222 = -89*o. What is the remainder when 214 is divided by o?
66
Let r(j) = 3*j**2 - 2*j**3 - j - 2*j**2 + 4 + 6*j + j**2. Calculate the remainder when 71 is divided by r(-2).
17
Suppose m - 6*q = -3*q + 62, m - q - 52 = 0. Calculate the remainder when 468 is divided by m.
45
Let h(w) be the third derivative of w**6/120 + 11*w**5/60 - 5*w**4/8 - 19*w**3/6 - 29*w**2. What is the remainder when h(-12) is divided by 8?
1
Let w(l) = l**3 + 17*l**2 - 19*l - 9. Let c(m) = m**3 - 15*m**2 - 16*m - 18. Let a be c(16). Calculate the remainder when w(a) is divided by 2.
1
Suppose 26*i = 21*i + 430. What is the remainder when 313 is divided by i?
55
Let w(t) be the third derivative of -t**5/30 + 13*t**4/12 + 11*t**3/6 - 2*t**2. Calculate the remainder when 84 is divided by w(13).
7
Suppose 9*g - 25 = 4*g. Suppose -78*a - 1 = -83*a + 4*j, -4*j + 3 = -a. Calculate the remainder when g is divided by a.
0
Suppose 2 = -4*a - 18. Let q = a - -14. Let w(s) = -12*s - 2. What is the remainder when w(-3) is divided by q?
7
Let a be 2/(-4)*4 + 21. Let z = a - 14. What is the remainder when z is divided by 2?
1
Calculate the remainder when (2444/208)/(1/4) is divided by 23.
1
Let k = 239 - 170. Calculate the remainder when k is divided by 16 - (45/60 + (-33)/12).
15
Let l(m) = -m + 5. Let s be l(2). Suppose -5*k = -s*w - 223 - 295, 408 = 4*k + 4*w. What is the remainder when k is divided by 35?
33
Let q(b) = -3*b - 56*b**2 + 4 + 35*b**2 + 30*b**2. Suppose c = 3*s + 3, s + 4*s = -2*c + 6. What is the remainder when q(c) is divided by 13?
11
Let o(h) = 3*h**2 - 4*h. Calculate the remainder when 224 is divided by o(3).
14
Suppose -2*f + 2 = -4*f. Let z(s) = 50*s**2 + s. Calculate the remainder when z(f) is divided by 17.
15
Suppose -9*m - 66 = -15*m. What is the remainder when 75 is divided by m?
9
Let r = 772 + -690. What is the remainder when r is divided by 25?
7
Let z = 455 - 324. What is the remainder when z is divided by 15?
11
Suppose -5*h + 23 = v, -69 = -2*v - v - 2*h. Let z = -15 + v. Suppose 7*o - 56 = 3*o. What is the remainder when o is divided by z?
6
Let g = -539 - -551. Calculate the remainder when 95 is divided by g.
11
Suppose 5*p - 126 = -3*g + 6*p, -4*g + 2*p = -166. What is the remainder when 2708 is divided by g?
42
Let q(f) = f**3 + 5*f**2 - 9*f - 3. Let u = 42 + -48. What is the remainder when 71 is divided by q(u)?
11
Suppose -2*h - 2 - 2 = -2*u, -5*u + 19 = -2*h. What is the remainder when (-5 - u - -4)/(2/(-1)) is divided by 2?
1
Let j(y) = y**3 - 4*y**2 + 6. Let w = -139 + 156. Calculate the remainder when j(5) is divided by w.
14
Let k(r) = r**3 - 7*r**2 + 9*r + 8. Let t be k(5). What is the remainder when (15/6 - t)/(2/(-76)) is divided by 11?
8
Suppose 3*p - x - 1406 = 0, 15*p - 10*p = 3*x + 2342. What is the remainder when p is divided by 3?
1
Suppose 6*j = 3*j - 2*z + 361, 3*z = j - 135. What is the remainder when j is divided by 51?
21
Suppose -j + 425 = 163. What is the remainder when j is divided by 70?
52
Calculate the remainder when (-4 - -3) + 9 - -97 is divided by 51.
3
Let c = -164 - -238. Calculate the remainder when c is divided by 38.
36
Suppose -2 = -u - 0*u - 3*d, u - 2*d = 17. Calculate the remainder when (-10836)/378*(-6)/4 is divided by u.
10
Suppose 3*k + 5*o = 50 + 1, -2*o + 30 = 2*k. Let p be k/(-2)*(-4)/8. Suppose -p*f - 19 = -v - 0*v, 5*f = 2*v - 38. What is the remainder when v is divided by 7?
5
Let r = -800 + 805. Let h = -5 - -12. What is the remainder when h is divided by r?
2
Suppose -2*t - 59 + 11 = 0. Let a = -20 - t. Suppose 0 = -d + 2*m + 23, d + a*m = m + 33. Calculate the remainder when d is divided by 15.
12
Let s(n) be the third derivative of -n**6/120 - n**4/24 - n**3/3 + 2*n**2. Let t = 75 - 60. What is the remainder when s(-3) is divided by t?
13
Suppose 5*c = -10*c + 11955. What is the remainder when c is divided by 16?
13
Suppose 3*l = -4*b + 123, 2*l - 102 = -7*b + 11*b. Calculate the remainder when 184 is divided by l.
4
Let q = 63 - 33. Let y = q - 27. Suppose -5*p + 97 = 3*w, w + y*p + 0*p - 31 = 0. What is the remainder when w is divided by 18?
16
Let l(d) be the third derivative of d**6/120 + 3*d**5/20 + 13*d**4/24 - d**3/2 + 15*d**2. What is the remainder when l(-6) is divided by 10?
7
Suppose 3*a + 3*q - 123 = 0, -2 + 35 = a + 5*q. Calculate the remainder when 122 is divided by a.
36
Let g(o) = -o + 32. Let z be g(7). Suppose 3*u = 14 + 31. Calculate the remainder when (z - (-4)/(-2)) + (-75)/(-25) is divided by u.
11
Let t be -2 + 20/4*2. Suppose -t = -5*q + 4*q. What is the remainder when 29 is divided by q?
5
Suppose 210 = -5*u + 615. Suppose 0 = -5*x + 5*k + 380, -5*k + 9 - u = -x. Let w(b) = 11*b + 401. Calculate the remainder when x is divided by w(-35).
13
Let l(s) = -16*s - 33. What is the remainder when l(-8) is divided by 58?
37
Suppose -389 - 187 = -6*u. Let o = u + -87. Calculate the remainder when 23 is divided by o.
5
Suppose 5*l = -2*h + 25, 10*h - 8*h + l - 21 = 0. Calculate the remainder when 325 is divided by h.
5
Let l(r) = -5*r**3 - 9*r**2 + 8*r + 11. Let t(f) = 4*f**3 + 8*f**2 - 8*f - 12. Let b(u) = -3*l(u) - 4*t(u). What is the remainder when b(-7) is divided by 15?
12
Suppose 5*c - 14 = 46. Suppose -c*j + 785 = -7*j. What is the remainder when j is divided by 32?
29
Let o(d) be the first derivative of -5*d**4/4 + 2*d**3/3 + 3*d**2/2 - 1. Let z be o(-2). Let v = z - 22. Calculate the remainder when 59 is divided by v.
19
Suppose 0 = 4*w - 12 - 4. Suppose 3*h = -w*z + z + 33, 0 = 4*z - 20. What is the remainder when 23 is divided by h?
5
Let x(t) = 2*t**2 + 13*t - 54. Calculate the remainder when x(10) is divided by 14.
10
Let j = 69 + -89. Let q = j - -23. Calculate the remainder when 13 is divided by q.
1
Suppose 0 = -5*g + 254 + 71. What is the remainder when g is divided by 17/((-165)/(-187) - 4/(-34))?
14
What is the remainder when 92 is divided by ((-736)/144)/23 - 1300/(-18)?
20
Suppose 3*u - j - 1915 = 0, -2*j - 97 + 2657 = 4*u. Calculate the remainder when u is divided by 80.
79
Suppose 3*q + 6 = 0, 5*l - 3*q - 302 = 479. Suppose 5*v + 5*f + l = 535, 0 = -4*v + 4*f + 312. What is the remainder when v is divided by 27?
23
Let w be (-25)/(-9) + 12/54. Let j = w + 30. What is the remainder when j is divided by 17?
16
Let r(p) = -14*p + 7. Let u be r(5). Let o = -29 - u. What is the remainder when o is divided by 5?
4
Suppose 13 = -2*i - 3*v, v = -i - 2*i - 30. Let o = i + 28. Calculate the remainder when 84 is divided by o.
16
Suppose 0 = 6*t + 4*h - 5*h - 129, 4*t - 97 = -3*h. Calculate the remainder when 212 is divided by t.
14
Suppose 3*f + 2*x - 127 - 7 = 0, -2*f - 3*x = -86. What is the remainder when f is divided by 2/5 - (-28)/5?
4