31. Let u = 40 - b. What is the remainder when (-9)/(-12)*(8 + (-2044)/(-21)) is divided by u?
19
Let b be (-7896)/14 + (2 + -1)*2. Let q = 785 + b. Calculate the remainder when q is divided by 23.
16
Let a(z) = -58*z - 571. What is the remainder when 434 is divided by a(-12)?
59
Suppose -30*s + 5686 = 5*g - 33*s, 4*g - 4511 = -3*s. Calculate the remainder when g is divided by 339.
116
Let w(z) = 181*z**2 + 76*z - 158. What is the remainder when w(2) is divided by 19?
15
Suppose -33 = -4*z - 2*c + 3*c, -3*z - 2*c = -33. Let j(t) = t**3 - 5*t**2 - 4*t - 6. Calculate the remainder when z is divided by j(6).
3
Suppose -5*w - 5*x + 10*x = 40, 0 = -5*w - 2*x - 33. Let o be -41 - -1 - ((-4 - w) + -7). What is the remainder when 71 is divided by 14/3*o/(-14)?
11
Suppose 30 = 2*o + 4*j, 0 = -o - 0*o + 9*j + 26. What is the remainder when 4229 is divided by o?
13
Let v(c) = 1826*c + 9238. What is the remainder when 598 is divided by v(-5)?
58
Calculate the remainder when ((-247779)/414)/(1/(-38)) is divided by 8.
7
Calculate the remainder when (-15 - 4983/(-77))/(3/42) is divided by 100.
96
Suppose 614*v = 576*v + 304. Calculate the remainder when 2326 is divided by v.
6
Suppose 3*h + 4*b - 75659 = 0, -5*b - 45237 - 5210 = -2*h. Calculate the remainder when h is divided by 11.
9
Let a be (228/(-570))/(1 + 201/(-200)). Suppose 3*p = s + a, -4*p - 2*s + s + 116 = 0. Calculate the remainder when p is divided by 10.
8
Let i(r) = r**3 + 5*r**2 - 2*r - 2. Let j be i(-5). Let b = -2 + j. Suppose 16 + 650 = b*o. What is the remainder when o is divided by 23?
19
Let j = -10960 - -10984. What is the remainder when 971 is divided by j?
11
Let u(g) = g**2 + 4*g - 121. Let q(j) = j**3 - 4*j**2 + j - 8. Let i be q(3). Calculate the remainder when 37 is divided by u(i).
18
Let a(n) = -2*n**2 + 287*n - 278. What is the remainder when a(135) is divided by 38?
3
Let i(s) = 6*s + 228. Let c(j) = 143*j**2 + 7*j - 8. Calculate the remainder when c(1) is divided by i(-26).
70
Suppose 261 + 81 = 9*i. Suppose -3*j + 5 + 2 = -2*w, 5*j - w = 14. Suppose -4*k = j*n - 35, 0*n - 3*n + 5*k = -44. What is the remainder when i is divided by n?
12
Let g(j) = 4*j**2 - 18*j + 42. Let i be g(5). Suppose 110*v = 106*v + i. What is the remainder when 60 is divided by v?
8
Let v(c) = c + 21. Let q be v(21). Suppose 3*m = 3*z + q, -18*z + 14*z - 70 = -5*m. Calculate the remainder when 557 is divided by m.
11
Suppose -46*r - 60 = -44*r. Calculate the remainder when 107 is divided by r/(-4)*(-372)/(-155).
17
Suppose -g + 35 = g + l, 5*l - 55 = -4*g. Let y = -346 - -412. What is the remainder when y is divided by g?
6
Calculate the remainder when 58 - (6/5 - 5/25) is divided by 11 - (215/45 - (-4)/18).
3
Let o = -50 + 16. Suppose 430 = m + 3*m + 2*j, -m + 105 = j. Let a = m + o. Calculate the remainder when a is divided by 13.
11
Let s(n) = -2*n**3 - n**2 - 2*n. What is the remainder when 2702 is divided by s(-3)?
50
Suppose 179*t - 3895 = 3981. Calculate the remainder when 469 is divided by t.
29
Suppose 66*f + 95772 - 387230 = 186382. Calculate the remainder when f is divided by 9.
4
Suppose -280*a + 919*a = 42174. Calculate the remainder when (-493)/(-2) + (-4)/(-8) is divided by a.
49
Let b(w) = 317*w - 260. Let v be b(4). Let n = 1025 - v. Let k(z) = z**3 + 6*z**2 - z + 2. What is the remainder when n is divided by k(-6)?
1
Suppose -5*s - 2 = t + 50, -308 = 4*t - 5*s. Let m = 74 + t. What is the remainder when 6*(-1 + 1 + 1) is divided by m?
0
Let i be -808*(-1)/2 - -5*1. Let f = i + -376. Suppose 3*y - 3*r - 2*r = 44, 70 = 4*y - r. Calculate the remainder when f is divided by y.
15
Let f(g) = 10*g**2 + 211*g - 79. What is the remainder when 844 is divided by f(-22)?
11
Suppose -j - 2*j + 6 = 0. Let d(s) = -789 - 794 + 2381 - 795 + 3*s. Calculate the remainder when 26 is divided by d(j).
8
Let s(d) = 2*d**2 + 31*d - 8. Let h = -327 - -336. Calculate the remainder when s(-17) is divided by h.
7
Let w(r) = 2*r**3 - 55*r**2 + 83*r + 140. Calculate the remainder when 1086 is divided by w(26).
6
What is the remainder when 479 is divided by (52/(-14) - -4)/(12/504)?
11
Let f = -64 + 18. Let z = 55 + f. Let s = 32 - 6. Calculate the remainder when s is divided by z.
8
Let u = -70 - -129. Let a = -106 + 207. Let c = -91 + a. What is the remainder when u is divided by c?
9
What is the remainder when 85 is divided by ((-79)/(-316))/((-1)/(-212))?
32
Let l(f) = -f**2 - 8*f - 8. Let s be l(-7). Let i be 1608/(-60) + ((-44)/20 - -2). Let c = s - i. Calculate the remainder when c is divided by 15.
11
Let p(j) = -2*j**2 + 170*j - 2764. Let z(c) = 55*c - 2. Calculate the remainder when z(7) is divided by p(63).
7
Suppose -2*r + 54 + 54 = 0. What is the remainder when r is divided by ((9 - (-143)/(-33)*3) + -4)/(-1)?
6
Let v = 724 + -487. Suppose i - 5*u = v, -3*u - 12 = -0*u. What is the remainder when i is divided by 73?
71
Let f(m) = 14*m**2 + 108*m - 114. What is the remainder when f(11) is divided by 63?
59
Suppose -12*v + 1727 + 3746 - 973 = 0. What is the remainder when 401 is divided by v?
26
Calculate the remainder when 117/6*(-132)/(-99) is divided by 4.
2
Let y(s) = -s**2 - 20*s - 22. Suppose -23*m + 5*o + 49 = -22*m, 0 = -5*m - 2*o + 272. What is the remainder when m is divided by y(-18)?
12
Let h = -1903 - -2153. What is the remainder when 266 is divided by h?
16
Let i(o) = 4*o - 7. Let c(z) = 2*z**2 - 23*z + 54. Let w be c(18). Suppose -10*l + 22*l = w. What is the remainder when l is divided by i(3)?
4
Suppose -9*a + 7*a = -8. Suppose a*b - 14 = -2. What is the remainder when 141 is divided by 60/b + (0 - -2) + 2?
21
Let f(w) = -w**3 - 29*w**2 - 13*w + 13. What is the remainder when f(-29) is divided by 81?
66
Let t = -434 + 559. Let u(r) = 4*r**2 + 39*r + 9. What is the remainder when t is divided by u(-11)?
61
Suppose -46*g + 39411 = 6889. Calculate the remainder when g is divided by 118.
117
Let x(g) = 577*g**2 + 351*g - 703. What is the remainder when x(2) is divided by 33?
30
Suppose -5*r = -5*i + 10870, -11*i - 5*r - 8319 = -32217. What is the remainder when i is divided by 196?
17
Suppose -3*m = -3*r + 18, -m + 21 = r + 3*m. Suppose 538 + 137 = r*c. Calculate the remainder when ((-50)/c)/(2/(-30)) is divided by 6.
4
Let h = 29 - 30. Let q(u) = -u**3 - 28*u**2 - 28*u + 47. Calculate the remainder when q(-27) is divided by h + (0 - (-18 - 3)).
14
Let m(l) = -l**2 + 9*l - 6. Let g be m(6). Let i(q) = 23*q**3 - q + 1. Calculate the remainder when i(1) is divided by (1 - 8/g)*39.
10
Let h be (376/(-16) + 1/6)*3. Let z = -60 - h. Let s(l) = l**2 - l + 16. Calculate the remainder when s(0) is divided by z.
6
Let t = -659 + 669. Let y(i) = -i**3 + 49*i**2 + 157*i - 24. What is the remainder when y(52) is divided by t?
8
Suppose 3*n - 722 = 5*t, t = 31*n - 28*n - 718. Calculate the remainder when n is divided by 42.
29
Let d(o) = -7*o - 4. Let s = -35 + 332. Suppose -s = 46*w - 55*w. What is the remainder when w is divided by d(-3)?
16
Let j = -752 + 774. Suppose -6*n + 167 = -283. Calculate the remainder when n is divided by j.
9
Suppose -o - 5*w = -370, -16*w - 1590 = -4*o - 14*w. Let y = -343 + o. What is the remainder when 570 is divided by y?
50
Let g = 251 - 133. Let u = 125 - g. Let s = -3 - -7. What is the remainder when u is divided by s?
3
Let c = -544 + 617. Let s = c + -54. Suppose -4*b - 3*n = -212, 4*b = 3*n - 0*n + 236. What is the remainder when b is divided by s?
18
Let l(x) be the second derivative of -x**3/6 - 5*x**2/2 + 2*x + 109. What is the remainder when 286 is divided by l(-21)?
14
Let d(v) = v**2. Let l be d(-2). Suppose -4*y - 112 = 4*h, -3*h - 2*y + l*y - 59 = 0. Calculate the remainder when 123 is divided by ((-1)/3)/(h/1725).
23
Suppose -5*t + 4*f + 3129 = 0, 3*t - 19*f + 20*f - 1857 = 0. Calculate the remainder when t is divided by 33.
27
What is the remainder when 664 is divided by 82 + (-16)/(176/165)?
61
Let b(z) = 18*z**2 - 72*z - 74. What is the remainder when 1179 is divided by b(-1)?
11
Suppose 0 = 3*r - 6, -1380 + 221 = -3*o + r. Suppose 0*v = -9*v + o. What is the remainder when 163 is divided by v?
34
What is the remainder when 2011 is divided by ((-156)/(-390))/(8/1250) - (-3)/(-2)?
59
Let a(r) = r**2 - 7*r - 1. Suppose -3*d = 2*d - 10. Suppose -80