 14*z - 2. Let l be a(2). What is the remainder when n(l) is divided by 24?
22
Let v(r) = r**2 + 17*r - 329. Calculate the remainder when 27 is divided by v(12).
8
Suppose 14*d = 20*d - 42. Let q(x) = -x**3 - 4*x**2 - 5*x - 2. Let y be q(-3). Suppose 2*r = y + 22. Calculate the remainder when r is divided by d.
6
Suppose 0 = 2*d + 37*l - 36*l - 78, -3*d + 102 = 4*l. Suppose 0 = -2*j - 3*s + 326, -5*s = -5*j - 0*s + 840. Calculate the remainder when j is divided by d.
40
Suppose 3*w + s = -w + 20, 5*w = 5*s. Suppose 388 = -w*f + 1336. What is the remainder when f is divided by 10?
7
Let g(b) = -7*b**2 + 6*b + 38. Let t be g(0). Calculate the remainder when (-627)/t*(-48)/2 is divided by 21.
18
Let x = 4073 + -3737. Calculate the remainder when 444 is divided by x.
108
Let s be (6 + -7)*2 + 164*-11. Calculate the remainder when s/(-70)*(1 + 4) is divided by 13.
12
Suppose -514*r = -500*r - 4844. What is the remainder when r is divided by 33?
16
Suppose 22 = -10*l + 292. Suppose 9 = 3*v, -h + 23*v + 74 = l*v. What is the remainder when h is divided by 6?
2
Let k = -398 - -398. Suppose -5*x + x + 5*n = -2263, -2*n + 10 = k. What is the remainder when x is divided by 41?
39
Let i(k) = -59*k - 1722. Let d(c) = 10*c - 2. Calculate the remainder when d(5) is divided by i(-30).
0
Let q(w) = 5*w**2 - 278*w - 3817. What is the remainder when 467 is divided by q(-12)?
228
Let g(x) = -x**3 + 9*x**2 - 7*x - 2. Suppose 4*t = -8, -9*t = -5*o - 4*t - 140. What is the remainder when g(8) is divided by (4/((-120)/18))/(9/o)?
0
Suppose -453*h = 35*h - 4392. What is the remainder when 1834 is divided by h?
7
Let l = -41 - -45. Let p be 2/(-8) - (-117)/l. Let d = -6 + p. Calculate the remainder when d is divided by 12.
11
Suppose -3*i - 2 = -8. Suppose 11 - 17 = -i*r. Suppose -2 = r*d - 11, 5*d = 4*k - 17. What is the remainder when 37 is divided by k?
5
Let w = -1755 - -2388. Calculate the remainder when w is divided by 12.
9
Suppose 0 = -3*v - 3*f + 293 + 1225, -f - 2039 = -4*v. Let u = -502 + v. Calculate the remainder when 167 is divided by u.
6
Suppose -n + 3*n + 2*y - 1486 = 0, 3*n - 2227 = -2*y. Suppose 0 = -4*o + o + n. What is the remainder when o is divided by 50?
47
Suppose -f = 5*o - 1541, -2*o + 3*f = 4*f - 614. What is the remainder when o is divided by (-3)/((-24)/494) - 40/(-32)?
57
Let n = 384 + -368. Suppose 5*u - 20 = -5*o, o - u = -6*u - n. What is the remainder when (2 + 42)*(1 + 0) is divided by o?
8
Suppose 3*b = 8*b - 2*l - 17, -4*b - 3*l = -9. Suppose b*y - 108 = 5*i, 4*y - 4*i - 7 = 137. Suppose 57 = 4*k + 5. What is the remainder when y is divided by k?
10
Let a(i) = -27*i + 528. What is the remainder when a(10) is divided by 67?
57
Let l(o) = -3*o**3 - 31*o**2 + o + 3. Calculate the remainder when 716 is divided by l(-11).
14
Suppose -i + 68 = w, -5*i + 217 + 114 = 2*w. What is the remainder when 152 is divided by i?
22
Let t(k) = -44*k**2 + 495*k + 16. Calculate the remainder when t(11) is divided by 80.
57
Let b = 7639 - 7599. What is the remainder when 6199 is divided by b?
39
Let t(w) = -w**3 + 9*w**2 + 20*w + 42. Let j be t(14). Let p = -610 - j. What is the remainder when 174 is divided by p?
30
Let g be (0 - 1) + 46 + -2. Suppose -4*h + 41 = -g. Suppose 0 = -2*y - 4*w + 162, -4*y + 2*w + 86 = -248. Calculate the remainder when y is divided by h.
20
Let s = 6965 + -918. What is the remainder when s is divided by 121?
118
Let p be (12/(-21) - 0) + 64620/(-105). Let u = -391 - p. Calculate the remainder when u is divided by 12.
9
Suppose -19*m + 74 = -208 - 41. Let n = -6 + 9. Suppose -5*j - 5 = 0, 2*c + n*j - 7 = -0*c. What is the remainder when m is divided by c?
2
Let k = -808 + 1017. What is the remainder when k is divided by 10?
9
Let a = -157 - -157. Suppose 64 = 4*y + 4*q, a = -3*y - 2*q + 4*q + 38. Calculate the remainder when y is divided by 9.
5
Suppose -3*t + 75 = -2*j, -t + 3*j - 4*j + 20 = 0. Suppose -6*w = -5*w - 75. Calculate the remainder when w is divided by t.
6
What is the remainder when (-2290)/(-6) + 7 + (-220)/33 is divided by 62?
10
Calculate the remainder when 492 is divided by 482*1 + 122 + -118.
6
Suppose 25*g - 96506 = -7306. What is the remainder when g is divided by 27?
4
Calculate the remainder when 331*(17 + -9 - 6) is divided by 111.
107
Let j = 634 + -156. Let i = j - 388. What is the remainder when i is divided by 17?
5
Suppose 0 = 3*w + 30 + 162. Calculate the remainder when 10 + (w/(-48))/((-1)/(-3)) is divided by (-1)/2*(-16)/2.
2
Suppose 4*w - w - n - 108 = 0, 4*w - 144 = n. Let f = -380 - -166. Let s = 318 + f. What is the remainder when s is divided by w?
32
Let k = 31 + -17. Suppose 31*r + 1714 = 105*r - 2282. What is the remainder when r is divided by k?
12
Suppose 5*y - 4 - 6 = 0. Calculate the remainder when ((-2)/(-3))/(y/339) is divided by ((-209)/(-76))/((-308)/(-6496)).
55
Let a(r) = 3*r**2 - 14*r + 8. What is the remainder when a(9) is divided by 52/((-752)/(-40) - 18)?
60
Suppose 2*k + 103 = k. Let w = k + 253. What is the remainder when w is divided by 46?
12
Suppose -19 = m - 16. Let r(h) = 76*h + 2. Let n(q) = 25*q + 1. Let p(a) = m*r(a) + 8*n(a). Calculate the remainder when p(-1) is divided by 9.
3
Let u be ((-69)/18 + 4)*114. Suppose 0 = u*w - 5*w - 238. What is the remainder when w is divided by 13?
4
Suppose -5*w = 2*b - 73 - 388, -2*w + 197 = -b. What is the remainder when 550 is divided by w?
75
Let b = -20386 - -21114. Calculate the remainder when 752 is divided by b.
24
Let r(m) = -360*m + 6114. Calculate the remainder when 3598 is divided by r(12).
10
Suppose -37 = -o + 4*w, 4*o + 0*w + w - 97 = 0. Let a(c) = c**2 - 27*c + 78. Calculate the remainder when a(o) is divided by 14.
0
Suppose 5*g - 898 = -q, g - 882 = -2*q + q. Calculate the remainder when q is divided by 1 - (-25 - (-15 + 44)).
53
Let l(j) = -5*j + 47. Let c(g) = 5*g - 1. Calculate the remainder when l(-12) is divided by c(2).
8
Let w(u) = u**3 - 5*u**2 + 3*u. Suppose -2*r - 6 = k, 0 = 3*r + 2*r + 20. Let a be w(k). Calculate the remainder when (1215/(-6))/(-9) + a/(-4) is divided by 9.
6
Let n(g) = -g**2 - 5*g + 6. Let j be n(-6). Suppose j = -11*y - 450 + 1418. What is the remainder when 21 is divided by (1/(-2))/((-4)/y)?
10
Let h(n) = -12*n + 2. Let v(k) = 16*k + 12. Let z be v(2). Suppose 38*r + 246 = z*r. What is the remainder when r is divided by h(-1)?
13
Let w = -21 + 27. Let v(t) = t**3 - 13*t**2 + t + 18. What is the remainder when v(13) is divided by w?
1
Let k(q) = -q + 4. Let c be k(-8). Suppose -4*f + c*f - 496 = 0. Suppose -108 - 300 = -24*v. Calculate the remainder when f is divided by v.
11
Let f = 192 + -181. Let n(m) = -59*m - 729. What is the remainder when n(-14) is divided by f?
9
Suppose -6791 = 7*u - 8429. What is the remainder when u is divided by 109?
16
Let j = 7167 - 7091. What is the remainder when 169 is divided by j?
17
Suppose 183 = 3*d + 5*a, 0 = -2*d + 5*a - 715 + 812. What is the remainder when d is divided by 15?
11
Let b = -7061 - -7215. What is the remainder when b is divided by 26?
24
Let c be (74 + 1)*20/30. Let p = -26 + c. Calculate the remainder when 186/(-7)*(-5)/((-70)/(-49)) is divided by p.
21
Let k(o) = 3*o**2 + 78*o + 571. Calculate the remainder when k(-8) is divided by 20.
19
Let u(k) = 2*k**3 + 142*k**2 - 292*k + 39. What is the remainder when 123 is divided by u(-73)?
6
Suppose 0 = -4*j + 3*y + 839, -2*j = -22*y + 18*y - 412. What is the remainder when j is divided by 24?
20
Suppose 18*o + 18*o - 103636 = 10*o. What is the remainder when o is divided by 117?
8
Suppose -4*i + 5365 = l, 4*l + 428 = i - 909. What is the remainder when (65/(-15) - -5)/(6/i) is divided by 8?
5
Suppose 20651 - 47977 = -147*f + 58669. Calculate the remainder when f is divided by 21.
18
Suppose -4*n = d - 228, -246 + 261 = n - 5*d. Calculate the remainder when 3207 is divided by n.
17
Let d(u) = -35*u + 1688. What is the remainder when d(41) is divided by 120?
13
Suppose 5*v + 2*i - 4112 = 0, -2*v + 24*i = 25*i - 1644. Let h = -806 + v. What is the remainder when (-1)/3 + (-82)/(-3) is divided by h?
9
Suppose 9*u = -44*u + 82552 - 14871. What is the remainder when 3833 is divided by u?
2
Suppose -3*g = -3*l - 135, 4*l + g = -263 + 68. What is the remainder when (4/6)/((-8)/l)