2. Calculate the remainder when v(66) is divided by 55.
51
Suppose 12335 - 12389 = -6*i. Calculate the remainder when i is divided by (-9)/12*(-140)/21.
4
Let n = 32 + 0. Suppose -95 = 2*p + 117. Let m = -14 - p. What is the remainder when m is divided by n?
28
Let p be 1 + (4/5 - 77/(-35)). Suppose 3*q - 5*b = 26 - 13, 0 = -3*q + p*b + 17. What is the remainder when q is divided by 7?
4
Suppose 39 + 486 = 3*x. What is the remainder when x is divided by 3 + 298/16 + 1194/3184?
21
Let k(l) = -l**2 + 32*l + 3308. Calculate the remainder when 228 is divided by k(75).
62
Let p(q) = -3*q**3 + 40*q**2 + q - 147. Suppose -1 = 4*j - 17. What is the remainder when p(13) is divided by j?
3
Suppose -8*a + 21 = -a. Suppose -6*u + a*u = -15. Suppose 0 = -3*h + 4*h - 5*i + 22, -3*i = -u*h. What is the remainder when 3 is divided by h?
0
Let f = 11520 + -11495. What is the remainder when (-145)/2*(0 - 2) is divided by f?
20
Let d(j) = -2*j**3 - 13*j**2 - 11*j - 12. Let f be d(-6). Let b = f + -102. What is the remainder when 90 is divided by 4 - 9 - b/3?
21
Suppose 3*p = 0, 0 = 5*r - 2*p - 540 + 85. What is the remainder when 1182 is divided by r?
90
Let j(r) = 14*r**2 - 2*r + 1. Let k(c) = -4*c. Let a be k(1). Let m be -1*(-3 - 3) + a. What is the remainder when j(m) is divided by 9?
8
Suppose -5*j + 182*u = 186*u - 62, 2*j = 4*u + 36. Calculate the remainder when 185 is divided by j.
3
Let k = 518 + -496. What is the remainder when (8 - -99)*(1 + 0) is divided by k?
19
Suppose 0*p = -4*l - 4*p + 132, -l = -5*p + 3. What is the remainder when 1968 is divided by l?
24
Let t(r) = -r**2 + 10*r - 18. Let n(i) = -i**2 + 17*i - 63. Let z be n(11). What is the remainder when 21 is divided by t(z)?
0
Suppose 0 = 4*a - 2*r - 2806, -4*a + 2813 = 5*r - 0*r. Suppose k = -17*k + a. Calculate the remainder when k is divided by 4.
3
Suppose 0*i - 372 = -3*i. Suppose i = -7*w + 8*w. Calculate the remainder when w is divided by 33.
25
Let m = 589 - 591. Calculate the remainder when m/(-3)*(-12 - (-9 - 144)) is divided by 20.
14
Suppose 0 = 5*i + 3*r - 70, 2*i - 5*r = 106 - 47. Calculate the remainder when 263 is divided by i.
8
Suppose -4*o + c = -42, 4*o = -12*c + 7*c + 54. Suppose o*d + 72 = 14*d. Suppose -56 = -6*p + 2*p. Calculate the remainder when d is divided by p.
10
Suppose 0 = -p + 4*w - 2*w + 3267, 5*p + 12*w - 16269 = 0. What is the remainder when p is divided by 34?
31
Suppose w + 140 = -3*w - 5*x, 5*x - 140 = 4*w. Let m = 17952 - 17921. Calculate the remainder when m is divided by (w/(-10))/((-2)/(-4)).
3
Let k(p) = 61*p - 1067. Let r(n) = 12*n**2 - 2*n - 2. What is the remainder when r(3) is divided by k(18)?
7
Suppose 5*o - 892 - 28 = -5*h, 3*h + 2*o - 555 = 0. Let m = h - 171. What is the remainder when m is divided by 14?
2
Suppose 372 = 19*g - 13*g. Calculate the remainder when 31/g*10/1 - -45 is divided by 13.
11
Let n = 101 - 705. What is the remainder when 38 is divided by (-2)/10 - (n/20 + 6)?
14
Suppose 2*y + 8 = -3*z, -2*y = y - 2*z - 1. Let b(c) = -2*c**2 - 57*c + 26. Let s be b(-29). Calculate the remainder when 24 is divided by s/y*36/27.
0
Suppose i + 402 = -5*i. Let a be 26/((5/3)/5). Let r = a + i. Calculate the remainder when 85 is divided by r.
8
Suppose 0 = -8*u + 917 + 1219. Let f = -184 + u. Calculate the remainder when f is divided by 40.
3
Let w be (9/(-4))/(3 - 198/64). Let f = w - 3. What is the remainder when 62 is divided by 6/(-21) + 195/f?
8
Let b(i) = 8*i**3 - 3*i**2 - 2*i + 13*i**2 - 9*i**3 + 14*i**2 + 57. What is the remainder when 44 is divided by b(24)?
8
Let c = 26864 + -26798. Calculate the remainder when 11216 is divided by c.
62
Let k be (2*2/(-4))/((-1)/110). Suppose 75 = 3*s - 54. What is the remainder when s is divided by ((9/6)/3)/(5/k)?
10
Let d(k) = k**2 + 4*k - 3. Let g be d(-7). Suppose 0 = -7*s + g*s - 1749. What is the remainder when s is divided by 40?
39
Let p(j) = 145*j + 3982. Calculate the remainder when p(-20) is divided by 351.
29
Let i be (18/5)/(((-51)/(-200))/(-17)). Let o = i + 286. What is the remainder when o is divided by 10?
6
Suppose -12 - 12 = -6*f. Let b(h) = -h**2 + 10 - 80*h + 66*h - f. Calculate the remainder when b(-9) is divided by 26.
25
Suppose -5*p + 6 = -4*p - 2*c, -3*p - 3*c = -63. Suppose 0 = 3*o - 4*y - 36 - 69, 0 = -3*o - 5*y + 78. What is the remainder when o is divided by p?
15
Suppose -71*y + 2665 = -66*y. Let d = y - 316. What is the remainder when d is divided by 20?
17
What is the remainder when -4 + (162 - 1) + (-9)/9 is divided by 53?
50
Let l(w) be the first derivative of w**3/3 + 27*w**2/2 + 11*w + 6. What is the remainder when l(-28) is divided by 21?
18
Suppose 4*v - 5*p - 100 = 0, -p - 60 = -2*v - 16. Suppose 4*d - 20 - 356 = -4*a, -4*d - 119 = -a. What is the remainder when a is divided by v?
19
Suppose -67*q - 5*q = 74*q - 16790. What is the remainder when q is divided by 10?
5
Let x(o) = 6*o**2 - 31*o + 16. Let s = -174 - -179. Calculate the remainder when 63 is divided by x(s).
8
Suppose 0 = -21*n - 38*n - 90*n + 14304. What is the remainder when 244 is divided by n?
52
Let b = -151 - -373. Let s = b + -200. Calculate the remainder when 86 is divided by s.
20
Suppose -17*n - 184 = 12*n - 31*n. Calculate the remainder when n is divided by 44.
4
Suppose b = -5*k + 64, 4*k = 3*b - 229 + 151. Calculate the remainder when 154 is divided by b.
18
Suppose 3*u - 3*r = 72, -2*u + 55 = 65*r - 60*r. What is the remainder when 186 is divided by u?
11
Suppose 3*s = -4*k + 39, -36*k = -38*k + 4*s + 36. Suppose 0 = -4*n + 13 + 11. Calculate the remainder when (-18 + k)*(-60)/8 is divided by n.
3
Suppose 12*a - 13*a - 6*h + 168 = 0, a - 5*h = 135. What is the remainder when a is divided by 114?
36
Let h(i) = -2*i + 5. Let f = -253 + 253. Calculate the remainder when 9 is divided by h(f).
4
Suppose -9 = 51*n - 48*n. Calculate the remainder when ((-188)/n)/(240/540) is divided by 67.
7
Suppose -35 = -5*n, 4247*n - 389 = -2*r + 4244*n. Calculate the remainder when 964 is divided by r.
44
Suppose -3*t + 0*t - 9 = 3*s, -3*s + 21 = -3*t. Suppose -3*m + 24 = -s*b - 10, -b = 2. What is the remainder when 78 is divided by m?
8
Suppose 4*j - 44 = 2*j. Suppose -3*p + 43*p = 1760. Let n = p - j. What is the remainder when 34 is divided by n?
12
Suppose 29 = 4*i + 21. Suppose 6*n - u - 12 = 2*n, u = -n - i. Suppose -n*p + 10*p - 288 = 0. What is the remainder when 142 is divided by p?
34
Let p be 1/3 + 2/(-6). Let w(r) = -192*r + 8883. What is the remainder when w(46) is divided by 6 + 15 + (-3 - p)?
15
Calculate the remainder when 210/(-182) + 1 + (0 - (-66310)/65) is divided by 32.
28
Suppose 5*i + g + 3*g + 287 = 0, -4*g = 12. Let r = i + 47. Calculate the remainder when 53 is divided by (r/(-12))/(6/162).
17
Calculate the remainder when ((-12)/33)/((-12)/11418) is divided by 3.
1
Let z be (2/8)/(4/64*2). Suppose 3*u = -3*m + 4*u + 525, 0 = 3*m - z*u - 528. Suppose 5*j - 101 - m = 0. Calculate the remainder when 218 is divided by j.
53
Suppose -1196*x + 1194*x = -2*n - 204, n = 3*x - 296. What is the remainder when 11250 is divided by x?
95
Let q(b) be the first derivative of b**4/2 - 15*b**3 + 21*b**2/2 + 27*b + 41. Calculate the remainder when 28 is divided by q(22).
3
Let h be ((-27)/54)/(5/2 - 2). Suppose 4*x + 55 = 883. Calculate the remainder when x is divided by (h/((-24)/(-32)))/(4/(-45)).
12
Suppose 2*p - 3*v = -p + 63, 6 = 3*v. Suppose -7*d + 129 = 10. Suppose -d*k + 12 = -16*k. Calculate the remainder when p is divided by k.
11
Suppose -151 = -12*s - 38 + 67. Calculate the remainder when 221 is divided by s.
11
Suppose -107 = -94*x + 93*x. Let u(k) = k**2 - 3 + 0 - k + 2*k**2. Calculate the remainder when x is divided by u(-3).
26
Suppose -2*i - 4*q - 9 = -105, -3*i = 2*q - 136. Calculate the remainder when (4/(-14))/((-26)/31759) is divided by i.
41
Let f = -96264 + 96385. Let j(p) be the third derivative of -p**4/6 - 7*p**3/6 + 2*p**2. Calculate the remainder when f is divided by j(-8).
21
Suppose -225*x = -224*x. Suppose x = 2*j - 3*j + 41. What is the remainder when j is divided by 2?
1
Let t = 64 - 63. Suppose 4*k - t = 3. Suppose -q + 2*q + 5*s + k = 0, -37 = -2*q + 3*s. What is the remainder when 25 is divided by q?
11
Let g(v) = 31*v**2 + 25*v - 9. What is the remain