-15) is divided by 6.
4
Suppose 3*k = 611 + 379. Calculate the remainder when (6/4)/(15/k) is divided by 17.
16
Suppose -5*x + 274 + 456 = 0. Calculate the remainder when x is divided by 131.
15
Let k(g) = -2*g**3 + 6*g**2 - g - 2. Suppose -2*r + 11 = -u + 4, -4*r = -3*u - 11. Let j be k(r). What is the remainder when 83 is divided by 12/(-30) - j/5?
20
Let t = 383 + -242. Calculate the remainder when t is divided by 9.
6
Let f be (-5)/(56/(-35) - (-3)/5). Suppose 0 = -a - f, -3*a = 3*z - 4*a - 53. What is the remainder when z is divided by 7?
2
Suppose 0 = -4*s + 24 - 0. Let f be (-1 - -9 - 4) + s. Suppose g + f = 6*g. Calculate the remainder when g is divided by 1.
0
What is the remainder when 85 + (5 - (-87)/(-21))*-7 is divided by 2?
1
Suppose -7*w - 6 = -6*w. Let g be ((-81)/3)/(w/(-4)). Calculate the remainder when (135/g)/((-2)/8) is divided by 17.
13
Let y = 18 + -5. Let a = y + -11. Calculate the remainder when 5 is divided by a.
1
Suppose 4*f + 2*u + u - 75 = 0, 0 = 2*f + u - 35. What is the remainder when 207 is divided by f?
12
Calculate the remainder when (-46)/(-6) + 25/75 + 0 is divided by 2.
0
Suppose 3*a - 5*l = -0*l + 63, -a + 3*l + 25 = 0. Let u = a - 14. What is the remainder when 10 is divided by u?
0
Let f = -36 + 22. Suppose 2*d - 21 = -4*y + 3*y, d - 105 = -5*y. What is the remainder when (-844)/f - 8/28 is divided by y?
18
Let d = 305 - 298. What is the remainder when 52 is divided by d?
3
Suppose -2*s = -5*c + 154, 0 = -5*c + 5*s + 50 + 110. What is the remainder when 3 is divided by (-5)/3*c/(-25)?
1
Suppose -2*s - s = -5*z + 8, -s = -5*z + 16. Suppose -z*j + 398 = 154. Calculate the remainder when j is divided by 32.
29
Let c = 3 - -46. Suppose 2*w - c - 7 = 0. Suppose -12*a = -9*a - 48. Calculate the remainder when w is divided by a.
12
Let u(y) be the first derivative of -2*y**3/3 + 3*y**2 - 12*y + 6. Let o be u(4). Calculate the remainder when 37 is divided by (-12)/o - (-47)/5.
7
Let o = 17 - 19. Let p be 13/(-3)*6/o. Suppose 5*v - 15 = -2*c + p, c - 23 = -4*v. Calculate the remainder when v is divided by 3.
0
What is the remainder when 131 is divided by (-56)/(-12)*240/56?
11
Suppose -3*r - 111 = -387. Calculate the remainder when r is divided by 20.
12
Let x(l) = -8*l**2 - 12*l + 178 - 163 + 27*l - l**3. What is the remainder when x(-10) is divided by 4?
1
Let l(t) be the second derivative of -t**4/12 - 7*t**3/6 - t**2/2 - 5*t. Suppose 3*n + 5 = -10. What is the remainder when l(n) is divided by 3?
0
Suppose 9*u = -532 + 1495. What is the remainder when u is divided by 54?
53
Let v = 50 + -18. Suppose 2*x = -n + 14, -x - 4*x - 4*n + v = 0. What is the remainder when x is divided by 4?
0
Let j = -41 - -51. Suppose j = 9*v - 170. Calculate the remainder when 77 is divided by v.
17
Let p be -3*2/3 + 5. Suppose 0*y - p*y = -6, 0 = 2*b - 5*y - 8. Calculate the remainder when (-9)/3 + (21 - -2 - -3) is divided by b.
5
Suppose -5*k - 2*g = -6*g - 1348, -k + 258 = 5*g. Calculate the remainder when k is divided by 18.
16
Let t = -335 + 354. What is the remainder when 44 is divided by t?
6
Suppose -15 - 49 = -8*n. Calculate the remainder when 55 is divided by n.
7
Suppose 3*d - 2*x + 18 = -0*x, 0 = -4*d + x - 24. Suppose 0*c - 4*c = a - 13, 64 = 4*a + 4*c. Calculate the remainder when a is divided by (d/5)/((-15)/50).
1
Let v(y) = 3*y**2 + 29*y - 267. Calculate the remainder when 263 is divided by v(7).
14
Let v be ((-16)/6)/((-4)/6). Let y = 65 + -45. Calculate the remainder when y is divided by (-404)/(-36) + v/(-18).
9
Let v(o) = -o**3 - 5*o**2 - o + 2. Let j(q) = 2*q**3 + q**3 - 4*q**3 - 2*q - 2 - 6 - 13*q**2. What is the remainder when j(-13) is divided by v(-5)?
4
Let s be (-1 - 2)/6*-10. Let w = s - 0. What is the remainder when 31 is divided by 38/w - (-12)/30?
7
Let o(d) = d**3 - 8*d**2 - 10*d + 13. Let x be o(9). Calculate the remainder when 15 is divided by 3 + (x/1 - 3).
3
Let n(p) = 2*p - 8. Let w = 11 + 0. Suppose w*v = 6*v + 195. Calculate the remainder when v is divided by n(9).
9
Let t(y) = -32*y. Let i = -22 + 21. Calculate the remainder when 123 is divided by t(i).
27
Let y = 74 + -70. Calculate the remainder when y/(-12)*19*-15 - 2 is divided by 12.
9
Let q(f) = -2*f**2 - 68*f + 8. Let b(o) = -4*o - 3. What is the remainder when b(-4) is divided by q(0)?
5
Let b(v) = -4*v - 37. Let h be 2/2 + 3 - 16. What is the remainder when b(h) is divided by 6?
5
Let s(c) = -c**3 - 13*c**2 - 24*c + 5. Calculate the remainder when 43 is divided by s(-11).
16
Let m = -571 - -814. Suppose -13*l - m = -22*l. What is the remainder when l is divided by 14?
13
Suppose -3*s + 205 = -1007. Suppose 2*y = -k - 3*k + s, 2*k - 210 = -3*y. Calculate the remainder when k is divided by 25.
24
Let t(l) = 31*l + 245. What is the remainder when 106 is divided by t(-6)?
47
Let v = 60 - 36. What is the remainder when 44 is divided by v?
20
Suppose -5*f + 53 - 8 = 0. What is the remainder when 14 is divided by f?
5
Let l = 11 + -17. Let x(g) = g**2 - 8*g - 14. Let q be x(11). Let f = l + q. What is the remainder when f is divided by 7?
6
Suppose -5*r - 191 = -3*o, 239 + 62 = 5*o - 4*r. Suppose 2*s + d + 13 = o, 0 = -5*s - d + 107. Calculate the remainder when s is divided by 8.
5
Suppose -5*m - 570 = -5*k, 6*k + 3*m + 564 = 11*k. Calculate the remainder when k is divided by 23.
19
Let c(y) = 3*y - 7. Let b be c(4). Suppose -4*g + 9*g + 2*i = -825, 0 = 5*g + b*i + 825. Let o = g + 319. Calculate the remainder when o is divided by 39.
37
Suppose 5*k + b = 7 + 9, 4*k = b + 11. Suppose k*i - p - 2 = 0, 5*i - 2 = 2*p + 2. Suppose i = -3*g + 47 + 127. Calculate the remainder when g is divided by 15.
13
Let h(t) = 3 + 0 + 2 - t**3 + 10*t - 11*t**2 - 4. Calculate the remainder when 99 is divided by h(-12).
24
Let w(o) = -6*o**3 - 5*o - 4. Let h = -23 - -33. Calculate the remainder when h is divided by w(-1).
3
Suppose 0 = 8*i - 272 - 1360. Calculate the remainder when i is divided by 49.
8
Let o = -584 + 591. Calculate the remainder when 13 is divided by o.
6
Let r(p) = -p**3 + p**2 + 34. Let n(k) be the third derivative of k**5/12 - k**4/3 - 2*k**3/3 - 19*k**2. What is the remainder when n(-3) is divided by r(0)?
31
Let s be (-13)/((-13)/(-6)) + 3. Let k be ((-7)/21)/(s/297). Let q = k + -19. Calculate the remainder when q is divided by 8.
6
Suppose 14 = 3*y - y. Let c be (10/(-4))/(((-42)/12)/7). Suppose -40 = -5*a - 5*t, -c*a + 3*t = -2*t. What is the remainder when y is divided by a?
3
Suppose d - 4*d - 23 = -5*k, 6 = 2*k + 2*d. What is the remainder when 2/(-4) + k + (-214)/(-4) is divided by 10?
7
Let v = 54 + -57. Let m(b) = b**3 + 4*b**2 + 3. What is the remainder when 26 is divided by m(v)?
2
Let w = -59 + 124. Let o(s) = 2*s**2 + 12*s - 10. Calculate the remainder when w is divided by o(-8).
21
Suppose -4*k + 0*o + 116 = -4*o, -3*o = 4*k - 123. What is the remainder when 2/(5 - 879/177) is divided by k?
29
Suppose 9 = -3*v, 3*t + 13 = v + 64. Calculate the remainder when 190 is divided by t.
14
Suppose 0 = 3*p - 9 + 6. Let t(f) be the first derivative of 3*f**4/4 + f**3/3 + f**2/2 - f + 4. Calculate the remainder when 7 is divided by t(p).
3
Suppose c - 60 = -3*c. Let k(f) = -23*f - 2. Let t be k(-4). Let o = -63 + t. Calculate the remainder when o is divided by c.
12
Suppose 6*t = 10*t - 2*r - 16, 4*r - 8 = -2*t. What is the remainder when t is divided by 1?
0
Suppose -a + 57 = -37. Let m = -57 + a. What is the remainder when m is divided by 13?
11
Let f be -4 + (-20*5)/(-5). Calculate the remainder when -3 + -5*(3 - f) is divided by 13.
10
Suppose 3*d = -14 - 7. Let s = -11 - d. Calculate the remainder when 54 is divided by 84/8*s/(-3).
12
Let o = 1799 + -1777. What is the remainder when (-522)/24*8/(-3) is divided by o?
14
Suppose 110*k - 105*k = 375. What is the remainder when k is divided by 28?
19
Let k(o) = 2*o**2 + 9*o - 6. Suppose c + 7 = -2*c - 2*l, -c - 17 = -3*l. Calculate the remainder when k(-7) is divided by 14/7 - (c + -1).
5
Suppose 75 - 21 = j. Calculate the remainder when (224/(-504))/(2 - (-3856)/(-1926)) is divided by j.
52
Suppose -2*b + 5*a + 30 + 1 = 0, 5*b - 5 = -2*a. Suppose 2*d = -4*h - d + 61, -b*d = -9. Suppose 6*g - 20 = 2*g. What is the remainder when h is divided by g?
3
Suppose 2*n - 2*k - 8 = 0