w is divided by 39.
36
Let s(w) = 4*w**3 - 6*w**2 + 13*w - 47. Calculate the remainder when s(4) is divided by 56.
53
Suppose 5*d - 36 - 9 = 0. Suppose -4*o + 75 = -k, 2*o + 0*k = -k + 45. Let a = o - -24. Calculate the remainder when a is divided by d.
8
Let p(m) = m**2 - 19*m + 3. Let y be p(21). Suppose -4*c + 56 = -5*x, 25 = 5*c - 4*x - y. Calculate the remainder when 40 is divided by c.
12
Let s(c) = c**3 + 18*c**2 + 16*c + 21. Let k be s(-17). Let n = k + -15. Calculate the remainder when 67 is divided by n.
21
Let u(q) = -2*q**3 - 16*q**2 + 12*q + 2. What is the remainder when 208 is divided by u(-9)?
40
Suppose 5*b - 384 = 2*p, -4*p = -5*b + 6*b - 90. Calculate the remainder when b is divided by 11.
1
Let x(q) = 3*q**3 - 4*q**2 - q - 15. Let r be x(-7). Calculate the remainder when -3*(r/(-18))/(6/(-4)) is divided by 35.
32
Let i(u) = 423*u - 1218. Let c be 102/(-15)*-2*5. Suppose 5*z - c = -4*p + z, 3*p + z = 53. Calculate the remainder when i(3) is divided by p.
15
Suppose 4*n - i - 51 = 0, 3*i = -3*n - 0*n + 27. Let b be (n/8)/(3/20). Calculate the remainder when b/65 - 646/(-26) is divided by 9.
7
Let n = 36 + -29. Let x(w) = 4*w**2 - 37*w + 45. Let b(h) = -3*h**2 + 25*h - 30. Let r(f) = n*b(f) + 5*x(f). Calculate the remainder when r(-9) is divided by 9.
6
Let g(q) = -2*q + 0*q - 22 - 28 + 18. Calculate the remainder when 4 is divided by g(-17).
0
Let n(y) = 2*y**3 + 3*y**2 - 16*y + 11. What is the remainder when 1139 is divided by n(2)?
5
Let a(s) be the first derivative of 11/2*s**2 - 4*s + 6. Calculate the remainder when a(6) is divided by 21.
20
Suppose 0 = -6*i - 12 + 180. What is the remainder when i is divided by 12/(-24)*-12*1?
4
Let h = 156 - 135. What is the remainder when 160 is divided by h?
13
Let c be ((-120)/(-100))/(((-2)/15)/(-1)). Suppose c*f + 133 = 16*f. Suppose 9 - 4 = o. What is the remainder when f is divided by o?
4
Suppose 0 = 16*f - 18*f + 4. Suppose -f*t - 2*t = -48. What is the remainder when 20 is divided by 26/4 + (-6)/t?
2
Let k(q) = 11*q - 3. Let f be k(-6). Let s = -22 - f. What is the remainder when s is divided by 8?
7
What is the remainder when 60 is divided by (8 - (-1 - 29)) + 2 + 1?
19
Let u = -1 + -3. Let t(s) = 2*s**2 - 6*s - 3. Let c be t(u). Suppose 0*w - 15 = -n - w, 5*w + c = 3*n. What is the remainder when 63 is divided by n?
15
Let f(q) = -q**2 - 13*q + 8 + 2 + 3*q. Calculate the remainder when f(-10) is divided by 4.
2
Let m be ((-9)/(-6))/(18/60). Suppose 2*z + m*z = 7. Let f = 10 + z. What is the remainder when f is divided by 4?
3
Let c be (-144)/180 - 1/(10/(-78)). Suppose -c = 6*n - 7*n. What is the remainder when 19 is divided by n?
5
Suppose 13*w - 46 = 123. What is the remainder when w is divided by 11?
2
Let n(r) = -55*r + 610. What is the remainder when 179 is divided by n(10)?
59
Let n(t) = t**3 + 6*t**2 + 2*t - 17. Let k be n(-5). What is the remainder when (-5 + 7 - 0)/(k/(-53)) is divided by 11?
9
Suppose 4*g - 452 = 3*o + o, 2*g - o - 224 = 0. Suppose 2*m + g - 501 = 0. Suppose -m = 3*k - 8*k. What is the remainder when k is divided by 6?
3
Let h(v) = 13*v + 414. What is the remainder when h(-29) is divided by 15?
7
Let c(y) = 58*y + 289. Calculate the remainder when c(15) is divided by 29.
28
Suppose -5*y + 5 = 0, 17 = 5*g + 4*y - 252. Calculate the remainder when g is divided by 36.
17
Suppose 7*v - 25 = 325. What is the remainder when 249 is divided by v?
49
Suppose 8*q - 29 = 7*q. Let s = 35 - q. Calculate the remainder when 101 is divided by s.
5
Suppose 2*b = 12 - 6. Let n(u) = 2*u + 2*u - 2*u + 47 - b*u. Calculate the remainder when n(0) is divided by 24.
23
Suppose -4*a + 68 = -0*a. Let w(s) = s**2 + 3*s + 6. What is the remainder when a is divided by w(-4)?
7
Suppose -2*y = -2*q - 194, -9*y + 12*y + 4*q - 305 = 0. What is the remainder when 182 is divided by y?
83
Suppose -1 = -2*h + 5. Suppose -h = 2*l - 33. What is the remainder when l is divided by ((-3)/(-6))/(2/16)?
3
Let v(m) = -m + 9. Let x be v(7). Suppose -q - x*q = -21. Calculate the remainder when (-18)/54*(-39 + 0) is divided by q.
6
Let d(v) = 8*v**2 - 72*v - 384. What is the remainder when d(-6) is divided by 10?
6
Let p = -111 + 102. Let t(w) be the third derivative of -w**5/60 - w**4/2 + w**3 + 2*w**2. Calculate the remainder when t(p) is divided by 7.
5
Let s(y) = 3*y + 5*y - 6*y + 1 + y**2. What is the remainder when s(-10) is divided by 21?
18
Suppose -6*r - 231 = -2*q - 3*r, -r = 2*q - 235. Let x(n) = -n - 5. Let s be x(-8). Suppose -s*p = 2*p - 150. What is the remainder when q is divided by p?
27
Let c be 72/32 - (-2)/(-8). Calculate the remainder when 22 is divided by (-7*(-14)/147)/(c/24).
6
Suppose 3*x = 4*r - x - 412, -5*r + 4*x = -511. Let b = -2688 + 2722. Calculate the remainder when r is divided by b.
31
Let u = 33 + -86. Let f = u - -84. Suppose -132 = -5*m + 4*v + 621, 5*m = -3*v + 774. What is the remainder when m is divided by f?
29
Suppose o + 3*o + 2*c = 90, 2*c + 110 = 4*o. What is the remainder when 47 is divided by o?
22
Suppose 4*x + 175 - 259 = 0. What is the remainder when 39 is divided by x?
18
Let f = -9 + 11. Suppose 2*n - 51 = -f*z - 7, 2*n - 9 = 5*z. What is the remainder when 70 - ((7 - -5) + -6) is divided by n?
13
Let n(r) = 2*r**2 + 10*r + 3. Suppose 9 = 3*w + 3. Suppose w*x = -2*x + 44. What is the remainder when n(-9) is divided by x?
9
Suppose -4*z + 4*c = -516, -5*z + z - 3*c + 488 = 0. Let l = -54 + z. Calculate the remainder when l is divided by 18.
17
Let c be 758/26 - 4/26. Suppose 4*q - 7 = c. Suppose 69 = 3*r + 24. Calculate the remainder when r is divided by q.
6
What is the remainder when (-1161)/(-6)*((-40)/(-12) + -2) is divided by 52?
50
Let t(w) = w**3 - 4*w**2 + 3*w - 3. Let i(o) = 57*o - 613. Calculate the remainder when i(12) is divided by t(5).
34
Suppose b - 20 = -0*b. Suppose -1 = -a - 0. Suppose -4 = -3*r - 4*d + a, 4*r + 5*d = 8. Calculate the remainder when b is divided by r.
6
Suppose 3*c + 22*j = 21*j + 19, -5*j = 25. What is the remainder when 254 is divided by c?
6
Suppose -2*k + 4*f + 122 = -0*f, -f - 193 = -3*k. Calculate the remainder when 255 is divided by k.
60
Suppose v - 6 = -v, -c + 113 = -2*v. What is the remainder when c is divided by 11?
9
Let r(n) = 6*n**2 - 5*n + 27. Calculate the remainder when r(5) is divided by 48.
8
Suppose -3*c - 296 = -35. Let r = c - -122. Suppose d = -3*q + r, -201 = -3*d - q - 80. Calculate the remainder when d is divided by 11.
8
Let u be 5/(5/(-7))*9/(-21). Calculate the remainder when (u + (-171)/(-27))/((-2)/(-3)) is divided by 6.
2
Let l(r) be the second derivative of -r**3/6 + r**2/2 + 7*r. What is the remainder when 4/(-16) + (-276)/(-16) is divided by l(-6)?
3
Suppose 0 = 4*u - 8*u + 8. Let d be (66/24)/(u/24). Let t = -6 + d. What is the remainder when t is divided by 7?
6
Let p = -701 - -759. What is the remainder when 227 is divided by p?
53
Suppose 5*n = -4*j + j, -4*n - 8 = 4*j. Let q = 204 + -55. Calculate the remainder when q/n - 4/(-12) is divided by 17.
16
Suppose -38 = -2*z + 24. Calculate the remainder when 146 is divided by z.
22
Suppose 0 = -3*m + 2*a + 890, 0 = 5*m + 6*a - 1093 - 409. What is the remainder when m is divided by 51?
43
Let f = 61 + -2. Calculate the remainder when f is divided by ((-6)/1 - -6) + 5 - -12.
8
Suppose m - 130 = -m - 2*h, -h + 135 = 2*m. What is the remainder when m is divided by 16?
6
Suppose -29*r + 30*r - 1661 = -2*v, -r = v - 830. What is the remainder when v is divided by 52?
51
Suppose -6*r - 8*r = -1204. Suppose -4*v + 15 = 5*u, -v - u + 30 = -5*u. Calculate the remainder when r is divided by v.
6
Suppose 2*b - 13 = -3. Suppose h - 2*h - n + 12 = 0, -b = 5*n. What is the remainder when 89 is divided by h?
11
Let k = -264 + 311. What is the remainder when k is divided by 6?
5
Let g(h) = 36*h**2 + 1. What is the remainder when g(1) is divided by 10?
7
Suppose -15 - 5 = -4*n. Suppose -9*o + n*o = -344. What is the remainder when o is divided by 45?
41
Suppose -21*x + x = -100. What is the remainder when 13 is divided by x?
3
Let m = -57 - -83. What is the remainder when m is divided by 7?
5
Let c be 9/(-4) - (-2)/8. Let v(w) = -26*w - 1. Suppose -60 = -4*q - 4*l + 64, -q + 2*l = -16. Calculate the remainder when v(c) is divided by q.
25