(3) is divided by ((45/(-6))/(-5))/(j/(-56)).
0
Let z be 12/(-42) - (-1222)/14. Suppose 11*k - 1 = z. Let m(l) = l**3 - 8*l**2 + 7*l - 13. Calculate the remainder when m(k) is divided by 16.
11
Suppose 4*s + 224 = 8*s. Let b(t) = 22*t**2 + 120*t - 16. Calculate the remainder when s is divided by b(-6).
0
Let j(t) be the third derivative of 3*t**4/4 - 25*t**3/2 + 97*t**2. What is the remainder when j(8) is divided by 7?
6
Let o = 7061 - 7016. Calculate the remainder when 105 is divided by o.
15
Suppose 2*i = i + 97. What is the remainder when i is divided by (60/18 - (-20)/2) + (-2)/(-3)?
13
Let h = -5576 + 9712. Calculate the remainder when h is divided by 20.
16
Let b(i) = 4*i**2 - 14*i + 2. Suppose 17*a - 46 = 73. What is the remainder when b(6) is divided by a?
6
Calculate the remainder when 493 is divided by ((-35)/7 - -8) + 53.
45
Suppose 180*j = 1373566 - 102766. Calculate the remainder when j is divided by 66.
64
Suppose 4109 - 13837 = -512*o. Let w = 5 - 3. Suppose r + w*r = 165. What is the remainder when r is divided by o?
17
Suppose -3*r + 2*n + 0*n = 331, 2*n + 97 = -r. Let u = r + 222. Calculate the remainder when u is divided by 24.
19
Let z = -695 + 1126. What is the remainder when z is divided by 111?
98
Let c(v) = -25*v + 3. Let x be c(0). Suppose -5*u = 3*q - 137 - 178, -x*u + 189 = 4*q. Calculate the remainder when u is divided by 33.
30
Let f = 123 + -69. Suppose u = -2*g + 18, -22 = -5*g - 2*u + 24. Calculate the remainder when f is divided by g.
4
Let p be (-2 - -1) + (12/(-2) - -7). Suppose -4*a - 2*c + 50 = -4*c, p = -5*c - 15. What is the remainder when 44 is divided by a?
0
Let k = 1911 + -1817. What is the remainder when k is divided by 79?
15
Let l be 6/((-108)/30) + 2/(-6). Calculate the remainder when 179 is divided by (-654)/(-15) - l - 18/(-45).
41
Suppose -9*n + 1150 + 1343 = 0. Let a = n + -147. Suppose -7*z = -2*z - a. What is the remainder when 48 is divided by z?
22
Let z = -72 + 16. Let y = 62 + z. Calculate the remainder when 30 is divided by y.
0
Let w(h) = 47*h**2 + 46*h - 161. Calculate the remainder when w(5) is divided by 32.
28
Let d = -435 - -444. Suppose -5*t = -d*t + 308. Calculate the remainder when t is divided by 21.
14
Suppose -2*j = s - 17, 55*s - 60*s + 4*j = -155. Let k(f) = -3*f + 33. Calculate the remainder when s is divided by k(10).
0
Suppose -246*w = 11*w - 1542. Calculate the remainder when 274 is divided by w.
4
Suppose 0 = u + c - 46, -u - 2*u + 146 = -5*c. Suppose -215*w + 180*w + 245 = 0. Calculate the remainder when u is divided by w.
5
Let o(w) = 29*w + 48. Let j be o(4). Let b = j + -51. What is the remainder when b is divided by 33?
14
Let x(n) = 6*n + 103. Let d be x(0). Suppose -3*z + d = -0*z + 5*v, -5*z = -v - 153. Let y = -12 - -24. Calculate the remainder when z is divided by y.
7
Suppose 0 = 4*p + 3 - 47. Suppose 2*v + 5*d - 150 = 0, 1718 = 2*d + 1710. Calculate the remainder when v is divided by p.
10
Suppose 2 = 2*k + r, -3 = r + 1. Let i(o) = o**3 - 19*o**2 + 33*o + 34. Let u be i(17). Suppose k*z - 19 = u. What is the remainder when 34 is divided by z?
10
Suppose 43*o - 24633 = 16*o - 24*o. What is the remainder when o is divided by 169?
145
Let b(m) be the second derivative of 23*m**4/12 + 4*m**3/3 + 135*m. What is the remainder when 147 is divided by b(-2)?
71
Suppose 2*f = -u - 0*f + 6, -4*f = u - 6. Suppose -4*c - u*k - 8 = -2*k, -4*k = 3*c + 10. Suppose c*h - 21 = 29. Calculate the remainder when h is divided by 9.
7
Let k = 76 - -354. Let w = k - 392. Calculate the remainder when 45 is divided by w.
7
Let i(k) = -2*k + 24. Let g be i(-11). Let l = g - 45. Let h(q) = 18*q**2 - 2*q + 2. What is the remainder when 49 is divided by h(l)?
13
Let w(q) = q**3 - 5*q - 56 - 3*q**3 + 3*q**3 + 16*q. What is the remainder when w(5) is divided by 31?
0
Let s(a) = -a**2 - 3*a + 2. Let n be s(0). Suppose 0 = p + n*j - 7, 8 = -p - 6*j + j. What is the remainder when 83 is divided by p?
15
Suppose -w + 35*a = 32*a - 595, -w + 5*a = -587. Let i = w - 602. Calculate the remainder when 16/(-6)*(-42)/4 is divided by i.
3
Let p(u) = 4*u**2 - 5*u - 10. Suppose 54*i - 58*i - 12 = 0. Calculate the remainder when 286 is divided by p(i).
40
Suppose -24708 = -210*s + 114654 + 26748. Calculate the remainder when s is divided by 31.
16
Let t be (6*(-3)/36)/((-2)/(-428)). Let i = t + 140. Calculate the remainder when 131 is divided by i.
32
Suppose -75*y - 140903 = -670794 - 235634. What is the remainder when y is divided by 41?
39
Let w(x) = -x**2 - 78*x - 1282. What is the remainder when 241 is divided by w(-54)?
3
Let u(x) = 7*x**3 + 2*x**2 - 23*x - 18. Let f(c) = -3*c**3 - c**2 + 11*c + 9. Let y(v) = -5*f(v) - 2*u(v). Calculate the remainder when y(5) is divided by 25.
21
What is the remainder when (-6494)/(-8) + 19*19/1444 is divided by 197?
24
Let c(a) be the second derivative of a**4/3 + 28*a**3/3 - 27*a**2/2 + 55*a. Calculate the remainder when c(-18) is divided by 11.
8
Suppose -87 + 9 = -39*c. Let o(m) = m**3 + 5*m**2 - 2*m - 5. Calculate the remainder when 90 is divided by o(c).
14
Let o(u) = -19*u**3 - 9*u**2 + 13*u + 21. Suppose -5*r - 16 = -r. What is the remainder when o(-1) is divided by (2/r)/(1/(-16))?
2
Suppose 170*v - 417500 = -80*v. What is the remainder when v is divided by 64?
6
Suppose 484 = 6*i + 46. Suppose -103 + 283 = 5*f. What is the remainder when i is divided by f?
1
Calculate the remainder when 904 is divided by (-142)/5*(17/2 + -11).
52
Suppose 4*m + 5 = 1, 0 = -x - m - 53. What is the remainder when -4*15/(-4)*x/(-10) is divided by 16?
14
Let o(y) = -2*y**2 + 6*y + 1208. Calculate the remainder when o(25) is divided by 36.
0
Let o = -155 - -219. Suppose -14 = -3*x - 20, 2*z + 4*x - 412 = 0. What is the remainder when z is divided by o?
18
Let f = -51 - -60. Let o be f/2*(-140)/(-42). Calculate the remainder when 4 - 62/o - 662/(-15) is divided by 6.
2
Let r = 4828 - 4614. Calculate the remainder when r is divided by 18.
16
Suppose 4*o - 3*h - 568 = 0, 2*h = o + 16 - 153. Suppose -a = -0*a - o. Let w(i) = i**2 + 37*i + 367. Calculate the remainder when a is divided by w(-22).
34
Suppose u + 0 - 15 = 0. Let a(w) = -247*w - 32077. Calculate the remainder when a(-130) is divided by u.
3
Suppose 0 - 8 = 8*l. Calculate the remainder when 3/(-12) - 357/(-4) is divided by 1 + 7/1 - (l + -1).
9
Let z(y) = y**2 - 45*y - 3760. What is the remainder when z(-45) is divided by 8?
2
Let y = 72 + -77. Let g(s) = 2*s**2 + 10*s + 15. Let p = 17 + 6. Calculate the remainder when p is divided by g(y).
8
Let h be 8 + (9 - -5898)/11. Let y = h - 411. Let c(w) = 4*w + 3. Calculate the remainder when y is divided by c(6).
26
Suppose 5*a = -4*p + 690, 0 = 3*a + 2*p - 286 - 130. What is the remainder when 1328 is divided by a?
50
Let p(i) = -i + 13. Let v be p(-6). Suppose 15*j + 28 = v*j. What is the remainder when 118 is divided by j?
6
Let w(z) = -z**2 + 17*z - 3. Let n be w(18). Let a = -14 - n. Let d(u) = -u**3 + 9*u**2 - 10*u - 8. What is the remainder when 69 is divided by d(a)?
9
Suppose -4*m - 1064 = -4*k, -6*k = -10*k + 16. Let u = -261 - m. What is the remainder when 4 is divided by u?
0
Let t(x) = -68*x - 9. Let r be t(3). Let u = r + 110. Let j = -64 - u. What is the remainder when j is divided by 10?
9
Suppose 4*j = s + 6, 0 = 2*j + j - s - 4. Suppose 18*d + 3*g - 79 = 16*d, 0 = -4*d + j*g + 150. What is the remainder when 151 is divided by d?
37
What is the remainder when (2 - 3)/(11 - 31276/2842) is divided by -2 + (2 - -9*7)?
14
Let f = 15624 - 15178. Calculate the remainder when f is divided by 115.
101
Let k be (1 - (-3 - -2))*-1 - -13. Let i = 315 + -150. Suppose 33 = -k*f + i. What is the remainder when 21 is divided by f?
9
Let v(h) = 16*h**2 - 14*h - 37. Calculate the remainder when v(3) is divided by (-3)/((-9)/(-16))*-3.
1
Suppose 2*w = -5*g + 59, w - 7*g = -11*g + 25. Calculate the remainder when 637 is divided by w.
8
Let r(j) = 65*j - 230. Suppose 435 = 5*k - 5*d, -3*k - 3*d = 134 - 407. What is the remainder when k is divided by r(4)?
29
Let m(i) = 629*i + 1938. What is the remainder when m(-3) is divided by 44*1 - (-3 - 1)?
3
Suppose 0 = -88*i + 101*i - 1885. Calculate the remainder when 2026 is divided by i.
141
Suppose -227*b + 281*b - 63450 = 0