ative of o**4/4 - 6*o**3 + 16*o**2 + 31*o + 2. What is the remainder when 65 is divided by q(16)?
3
Let a = 739 - 342. Let j = 166098 + -165998. Calculate the remainder when a is divided by j.
97
Let f = -7111 + 7120. Suppose 4*n - 5*o - 93 = n, -2*n - 4*o + 40 = 0. Calculate the remainder when n is divided by f.
8
Let u(o) = -438*o - 832. Calculate the remainder when 463 is divided by u(-2).
23
Let r(z) = -2*z**2 - 30*z + 37. Suppose 3*d + 50 = t, t - 76 = 5*d + 3*t. Calculate the remainder when 1/((-50)/(-24) - 2) is divided by r(d).
2
Let k(b) = 65*b**2 - b - 13*b + b**3 - 8 - 130*b**2 + 23 + 67*b**2. Calculate the remainder when 55 is divided by k(2).
1
Suppose 56 = 2*f + 4*a, 0 = 4*f + 2*a - 53 - 41. Let g = -65596 + 65630. Calculate the remainder when g is divided by f.
12
Let n(z) = z**3 - 13*z**2 + 22*z - 83. What is the remainder when n(12) is divided by 10?
7
Suppose -3160*r + 5*v + 75 = -3159*r, -4*r = v - 405. Let n = -32 - -69. What is the remainder when r is divided by n?
26
Suppose 2*u + 5*q + 142 = 0, 5*u + 4*q = 7*q - 293. Let t = 119 + u. Calculate the remainder when t is divided by 32.
26
Let o be -1 + (4 - -3 - 1). Suppose -o*c + 0*c + 15 = 0, -3*u + 24 = -c. Let g(x) = -7*x - 116. Calculate the remainder when g(-19) is divided by u.
8
Let k(r) = -r**3 + r**2 + 5. Let b be k(0). Suppose -q + s + 58 = 22, q = -b*s + 18. What is the remainder when 262 is divided by q?
31
Suppose 1510*u = 1518*u + 2*b - 4312, 2*u + 3*b - 1098 = 0. What is the remainder when u is divided by 129?
21
Let j = -10603 - -10677. What is the remainder when 7840 is divided by j?
70
Let x = -15 - -19. Suppose x*d + 43 = -1. Let s = 121 + d. What is the remainder when s is divided by 23?
18
What is the remainder when ((-16)/84*3)/(4/(-826)) is divided by 83?
35
Let l = 3827 - 2804. Calculate the remainder when l is divided by 330.
33
Let u = 44 + -3. Suppose -10*l - 225 = -215. What is the remainder when u is divided by ((-2)/(-6))/l*2574/(-78)?
8
Calculate the remainder when 20116/44 + 12*19/(-1254) is divided by 18.
7
What is the remainder when -4*(-419)/10 + (-18)/30 is divided by (0 - -1) + (-660)/(-55)?
11
Suppose -298 - 1161 = -18*z - 451. Suppose -x + 5*r + 163 = 0, -5*r - 775 = -5*x + 100. What is the remainder when x is divided by z?
10
Suppose 3*h = 5*w + 86, -2*h = 3*w - 107 + 75. Calculate the remainder when 441 is divided by h.
1
Suppose -204 = -h - 4*y, 344*h = 343*h + 4*y + 236. Calculate the remainder when h is divided by 72.
4
Let y(w) = 370*w - 19958. Calculate the remainder when (-150)/(-3) + 2 + -1 is divided by y(54).
7
Suppose -2*w - 4*k + 416 = 0, -2*w = -5*k + 6*k - 401. Calculate the remainder when w is divided by 175.
23
Let j(t) = 7*t - 247. Let q be (-6)/(-18) + (-26)/6. Calculate the remainder when (-274)/(-8) + 1/q is divided by j(38).
15
Suppose 19*r + 3*r = -34*r + 22232. What is the remainder when r is divided by 145?
107
Let a = -694 + 749. Suppose -7*d + 665 + 14 = 0. Suppose 3*k - d = -j, -k + 5*j = 4*k - 135. Calculate the remainder when a is divided by k.
24
Let i(s) = s**2 - s - 4. Let o be i(2). Let c = -104 + 132. Calculate the remainder when 1614/15 - o/5 is divided by c.
24
Let d = 3903 + -3556. Calculate the remainder when d is divided by 6.
5
Suppose 2*d = 4*a - 80, d + 2*a + 9 = -15. Let y = d + 38. Calculate the remainder when 15 is divided by y/(-1 + (-25)/(-10)).
3
Suppose 5*n - a - 119 + 7 = 0, -3*n + 3*a + 72 = 0. Suppose 3*k = -4*q + n, 2*k - 29 = q - 18. Calculate the remainder when 187 is divided by k.
1
Suppose 4*q + 4000 = 8*l - 4*l, 5*q + 15 = 0. Let v(r) = 3*r**2 - 59*r + 186. What is the remainder when l is divided by v(17)?
47
Let k(d) = d**2 - d - 23. Let j be k(8). Let o = j - 5. What is the remainder when 87 is divided by (-24)/2*(o/(-8) + 1)?
27
Suppose 2*o - 43 = 5*w, 0 = -o + 4*w + 7 + 22. Suppose -12 = 6*j - o*j. Let q = j + 9. What is the remainder when 47 is divided by q?
8
Suppose -165 = -f - 4*p, 466 - 304 = f + 5*p. Calculate the remainder when 3893 is divided by f.
176
Suppose 4*y = -8, 904 = 4*c - 94*y + 90*y. Calculate the remainder when 9405 is divided by c.
221
Let w = 45 - -37. Let x = -174 + 195. Calculate the remainder when w is divided by x.
19
Let n = 2160 - 2134. What is the remainder when 7745 is divided by n?
23
Suppose 15*d = 6*d - 769 + 15412. Calculate the remainder when d is divided by 811.
5
Let k be 7 - ((-8)/(-12) - 55/15). Calculate the remainder when 229 is divided by 4/k*(-1785)/(-102).
5
Let d(v) = v**2 + 4*v + 3. Let m be d(-4). Suppose a + 249 = m*s + 2*a, 4*s = -a + 333. What is the remainder when s is divided by 45?
39
Suppose 0 = v - 18 - 0. Let s = 287639 + -287516. Calculate the remainder when s is divided by v.
15
Let w(o) = 5*o - 29*o - 87 - 38*o - 12*o - 102. What is the remainder when 103 is divided by w(-3)?
4
Let n(z) = -7*z - 83. Let s(f) = 10*f + 84. Let m(o) = 6*n(o) + 5*s(o). Calculate the remainder when m(15) is divided by 23.
19
Suppose -3*r - 217*o + 229 = -215*o, -r = -2*o - 63. Calculate the remainder when r is divided by 31.
11
Let b = -80 - -332. Suppose 0 = z, -4*y + 2*z = 6*z - b. Let m = 92 - y. Calculate the remainder when 114 is divided by m.
27
Suppose -115*l - 384 = -119*l + 4*w, -3*l = -5*w - 280. Calculate the remainder when 669 is divided by l.
69
Let f(a) = 2*a**2 + 7*a + 4. Let b be f(-4). Let c = b - 13. What is the remainder when 41 is divided by 2*1*((c - -17) + -5)?
13
Calculate the remainder when (-62)/10 + 1/5 + 2065 + 314 is divided by 125.
123
Let c(q) = q**2 - 56*q - 118. Suppose 38 - 214 = -y. What is the remainder when y is divided by c(59)?
58
Let x(i) = 41*i - 5. Let h be (-40)/16*1/(-5)*2. What is the remainder when x(2) is divided by -8 + 19 - (1 + -4 + h)?
12
Let p(x) = -59*x**2 + 32 + 28*x**2 + 5*x + 29*x**2. Let v be p(12). Let d = v - -278. Calculate the remainder when d is divided by 22.
16
Let v = -84 - -80. Calculate the remainder when 74 is divided by v - 22*((-15)/(-6) - 3).
4
Let i(m) = -m**3 - 19*m**2 + 48*m + 522. What is the remainder when 1604 is divided by i(-21)?
20
Suppose w - 1035 = -4*j, 0 = -3*w + 3*j + 4334 - 1139. Calculate the remainder when 3185 is divided by w.
8
Suppose 2*p - 4*y - 280 = 766, 0 = 4*y + 16. What is the remainder when p is divided by 170?
5
What is the remainder when 4 + (-90)/24 + (-15574)/(-8) is divided by 30?
27
Let z = 1385 + -1211. Calculate the remainder when z is divided by 81.
12
Let y(v) = -v**3 + 3*v**2 + 13*v - 11. Let h be y(5). Calculate the remainder when 6*(-2)/(4/(-37)) is divided by h/10 + 408/30.
13
Suppose 0 = 5*n - 2*b + 6*b - 275, 2*n + 5*b = 93. What is the remainder when 233/((-6)/36*-6) is divided by n?
56
Suppose 3*t - 2*l - 186 = 0, -92*l + 135 = 2*t - 97*l. Suppose 0 = -0*b + 2*b - 10. Let r = b + 16. Calculate the remainder when t is divided by r.
18
Let y(k) = -23*k**3 + 4*k**2 - 17*k - 20. Let a = -97 + 212. Calculate the remainder when a is divided by y(-1).
19
Let x(m) = m**3 - 7*m**2 - 4*m + 7. Suppose 4*o = -2*r + 144, -r - 5*o + 73 = -11. Let h = 72 - r. Calculate the remainder when x(h) is divided by 10.
9
Let j = 116 - 78. Let o = j - 86. What is the remainder when 24/6 - (o + -3) is divided by 29?
26
Let j = 32 - 21. Let h be -2 - 37*2*-2. Suppose -h = -j*t - 14. Calculate the remainder when 33 is divided by t.
9
Let p = 43 + -17. Suppose -162*j - 18 = -163*j + 4*w, 5*j + 5*w = 265. Calculate the remainder when j is divided by p.
20
Let l(x) = -6*x + 3*x - 7 - x. Suppose 0 = -w + 5*p - 3, 4*w + 7 = 5*p - 5. What is the remainder when 13 is divided by l(w)?
3
Let o = -162 - -265. Let t = -511 + 511. Suppose t = -u + 2*s + 22, 0*s = 3*u + s - 80. What is the remainder when o is divided by u?
25
Suppose -2*t + 4*t - 4 = 0, -u + 5*t + 126 = 0. Suppose 5*w + u = 311. Calculate the remainder when 138 is divided by w.
33
Let j(c) = c**3 + 59*c**2 - 101*c - 1082. Calculate the remainder when j(-60) is divided by 23.
21
Suppose -101*d + 104*d = -27. Let z be -12*d/(108/8). Suppose p - z - 19 = 0. Calculate the remainder when p is divided by 14.
13
Let v(l) = -10*l**2 - 142*l - 190. Let n = 12 + -1. Calculate the remainder when v(-12) is divided by n.
8
Let h(q) = 2*q + 3. Let z be h(1). Suppose -y = -z*i + 31, -3*y - 2 = 3*i - 5*i. Cal