?
17
Let b = 3175 - 3094. What is the remainder when 1375 is divided by b?
79
Let i(n) = 4*n**2 + 274*n - 624. Let b(u) = -u**3 - 9*u**2 - u + 13. Calculate the remainder when i(-71) is divided by b(-9).
20
Suppose -3*s = -9, -48*s - 4142 = -4*z - 50*s. Calculate the remainder when z is divided by 45.
44
Suppose 204*y - 2*q = 207*y - 770, -4*y + 2*q = -1036. What is the remainder when y is divided by 137?
121
Let w(b) = -b + 12. Suppose 4*m - 10 - 6 = 0, 5*m = -5*x - 65. Let r = x + 20. What is the remainder when 14 is divided by w(r)?
5
Let v = 2873 - 2556. Calculate the remainder when v is divided by 53.
52
Let h(g) = -11*g - 24. Let r be h(-6). Calculate the remainder when (2 - r/4)*-34 - -4 is divided by 59.
57
Let h(j) = j**2 - 6*j - 2. Let d be h(7). Suppose -x - d*z + 3*z + 2 = 0, -2*x + 1 = 3*z. Calculate the remainder when 164 is divided by 6/x + -6 + 259/14.
10
Let y = 25 - 34. Let w(b) = -3*b - 20. Let q be w(y). Suppose q*g - 138 = g. Calculate the remainder when 62 is divided by g.
16
Suppose 282 + 310 = 5*q + 12. Calculate the remainder when 337 is divided by q.
105
Let g(l) = 38*l + 633. What is the remainder when 139 is divided by g(-14)?
38
Let k = 31 - 45. Let d(u) = 5*u - 40. Let h be d(k). Let s = h + 261. Calculate the remainder when s is divided by 17.
15
Let g(r) = r + 34. Let y be g(-14). Suppose -l = -3*l - 3*v - y, 0 = -2*l + 2*v - 20. What is the remainder when 17 is divided by (-78)/(-15) - ((-12)/l + -1)?
2
Let t = 28839 + -28834. Suppose -4*d - 22 = 2. Let b(u) = -u**2 - 5*u + 8. Calculate the remainder when t is divided by b(d).
1
Suppose 6*o = -3*w + 7*o + 212, 3*w = -4*o + 232. Calculate the remainder when 125 is divided by w.
53
Let o = -137 - -127. Let y(d) = 4*d**2 + 27*d + 34. What is the remainder when y(o) is divided by 15?
14
Let a(p) = 46*p - 35. What is the remainder when a(8) is divided by 36?
9
Let k be (-48)/56*(0 - 77). Suppose -6*g = -114 - k. What is the remainder when g is divided by 19?
11
Let k(q) = -28*q**2 - 1064*q - 30. Calculate the remainder when k(-37) is divided by 321.
43
Let v(y) = y**3 + 11*y**2 + 5*y + 7. Let d be v(-6). Suppose -d = 7*s - 836. Calculate the remainder when s is divided by 25.
22
Let r(g) be the second derivative of -g**4/12 - 4*g**3/3 - 15*g**2/2 + 9*g. Let x be r(-9). What is the remainder when 77 is divided by (x/18)/((-3)/90)?
37
Let u(v) = v**3 + 37*v**2 - 22*v - 78. Let d(r) = 2*r**3 + 35*r**2 - 23*r - 78. Let j(a) = 3*d(a) - 4*u(a). What is the remainder when 51 is divided by j(21)?
15
Let w(x) = -703*x - 1. Calculate the remainder when w(-5) is divided by 12.
10
Suppose -5*n - 5*h = -43 - 187, 3*n - 4*h = 96. Calculate the remainder when 3037 is divided by n.
37
Let d = -18872 + 23153. Calculate the remainder when d is divided by 84.
81
Let z(b) = b**2 + b - 83. Let o = 128 + -96. Calculate the remainder when o is divided by z(9).
4
Suppose -57*j - 128 + 812 = 0. What is the remainder when 9142 is divided by j?
10
Calculate the remainder when 5778 is divided by -1*1/6*-451*18/33.
38
What is the remainder when ((-77478)/(-10212) + 4/(-46))/(6/172) is divided by 169?
46
Let o = 59 + -55. Suppose 4*m + o*u = 604, -5*m - u + 763 = -0*m. Suppose 4*z - m + 33 = 0. Calculate the remainder when z is divided by 11.
8
Let p(o) = -7*o - 84. Let f be p(-9). Let d = f - -54. What is the remainder when 89 is divided by d?
23
Suppose -165*i + 161*i + o = -3259, -5*o - 810 = -i. Calculate the remainder when i is divided by 13.
9
Let h = -4640 + 7754. Calculate the remainder when h is divided by 35.
34
Suppose p - 100 = -r, 18*r = 19*r - 5*p - 124. What is the remainder when 221 is divided by r?
13
Calculate the remainder when 384/(-10)*(5/45*0 - 5) is divided by 48.
0
Suppose p - 1567 = -3*q, 21*q - 19*q = -3*p + 1047. Calculate the remainder when q is divided by 21.
18
Suppose 2*v = 5*x - 0*x + 1180, -5*v - 4*x + 2851 = 0. What is the remainder when v is divided by 134?
39
Suppose 188*r - 198*r = -780. Suppose 0 = 6*u - 12*u + r. Calculate the remainder when 23 is divided by u.
10
Let i = -1888 + 2009. What is the remainder when i is divided by 29?
5
Let t(k) = 15*k - 83 - k + 7*k + 27*k**2 + k**3 - 4*k + 3*k**2. What is the remainder when t(-29) is divided by 14?
13
Suppose -20558 = -44*i + 25*i. Suppose -10*y + 738 = -i. What is the remainder when y is divided by 23?
21
Let h = -3340 - -3355. Calculate the remainder when h is divided by 12.
3
Suppose 2*j = 5*h - 17, -2*h + 4*h + 3*j = 22. What is the remainder when 4264 is divided by h?
4
Let c = 581 + -487. Suppose -4*o - 92 = -y, 2*y + 5*o = c + 129. What is the remainder when y is divided by 21?
20
Let x be (-12)/18*-6 + -2. Suppose 9 = x*l - 27. What is the remainder when 44 is divided by l?
8
Let h(q) = 5*q**2 + 3*q**3 - 94*q + 94*q - 4*q**3 + 5. Let w be h(5). Suppose w*j - 7 = -2. What is the remainder when 1 is divided by j?
0
Suppose -z = -2, n - 4*z = z + 15. Let q = -461 + 546. Suppose 91*h - 84 = q*h. Calculate the remainder when n is divided by h.
11
Suppose 0 = f + 5*n - 405, 7*n + 16 = 3*n. Suppose -24*s + 127 = -f. What is the remainder when 137 is divided by s?
22
Suppose 0 = -172*i + 11268 - 4560. What is the remainder when 698 is divided by i?
35
Let w(y) = -5*y - 219. What is the remainder when 54 + 0 - 12/(-3) is divided by w(-47)?
10
Calculate the remainder when (-24802)/9*774/(-172) is divided by 6195.
11
Let w be -7 - 4 - -15 - (-2 - -1). Suppose 2*s + 0*s = p + 215, -w*s + 510 = 3*p. What is the remainder when s is divided by 19?
10
Let a = 49 + -18. Let u(n) be the second derivative of n**4/6 - n**3/3 - 2*n**2 + 4*n. Calculate the remainder when a is divided by u(3).
7
Suppose 2*z - 5*d = 2, -2*d + 28 = -0*z + 4*z. Suppose 18 - 54 = z*t. Calculate the remainder when (-2*t/15)/((-3)/(-150)) is divided by 7.
5
Let w = -12719 - -12729. Calculate the remainder when 40498 is divided by w.
8
Suppose 0 = -37*a + 7050 + 1016. Calculate the remainder when 3929 is divided by a.
5
Let i(l) = l**3 - l**2 + 3*l - 3. Calculate the remainder when (-348)/2*36/(-39 + -33) is divided by i(3).
15
Let h be (1830/120)/((9/(-12))/(-3)). Calculate the remainder when 86 is divided by h + 4/(-3)*(-18)/4.
19
Let j(b) = 2*b**2 + 6*b - 16. Let c(n) = n**3 - 19*n**2 - n + 38. Calculate the remainder when c(19) is divided by j(-5).
3
Let j(q) = q**2 + 8*q + 31. Let o be j(-7). Suppose -t + o = -3*b, -3*t + 5*b + 24 = -40. Calculate the remainder when 104 is divided by t.
14
Let o = -404 - -820. Calculate the remainder when o is divided by 131.
23
Let c = -229 + 253. Suppose 0 = 23*o - c*o + 125. Calculate the remainder when o is divided by 32.
29
Let c(w) = w**3 + 2*w**2 + 56*w - 387. What is the remainder when 8496 is divided by c(5)?
64
Suppose -2*x - 18 = 21*x - 708. What is the remainder when 643 is divided by x?
13
Suppose -60*a + 56 = -124. Let y = -39 - -56. Calculate the remainder when y is divided by a.
2
Suppose 31*k - 40*k = -216. Suppose 5*c - 84 = -10*d + 13*d, 0 = 2*c + 2*d - 24. What is the remainder when k is divided by c?
9
Calculate the remainder when -4 + (84 - (-8 - 2)) is divided by 9.
0
What is the remainder when (-88)/(-40) - (-151904)/80 is divided by 112?
109
Let f(o) = 19*o**3 - 48*o**2 + 11*o - 31. Calculate the remainder when f(9) is divided by 58.
55
Let z(u) = 2*u**2 + 40*u + 286. Calculate the remainder when 739 is divided by z(-17).
3
Suppose 79 = -5*a - 3*g + 144, a = -2*g + 13. Let l = 16 - -50. What is the remainder when l is divided by a?
1
Suppose 0 = -39*j + 22*j + 357. What is the remainder when 28 is divided by j?
7
Let q(k) = k**3 - 23*k**2 - 24*k + 470. Calculate the remainder when q(24) is divided by 439.
31
Let g(q) = 5*q**3 + 2*q**2 - 12*q + 2. Let d be g(3). Suppose -808 = -9*p + d. What is the remainder when p is divided by 53?
50
Let q(v) = -6*v**2 - 34*v + 177. Let m be q(5). Let z = -106 - m. Calculate the remainder when z is divided by 22.
15
Suppose -10*r - 15*r - 8150 = 0. Let u = -284 - r. What is the remainder when 92 is divided by u?
8
Let q = 80 - 54. Let a(s) = 5*s + 315. What is the remainder when q is divided by a(-60)?
11
Let p(q) = -q**2 + 4*q + 6. Suppose 10*j - 10 = 40. Let y be p(j). What is the remainder when (((-252)/2)/(-9))/(y/4) is divided by 16?
8
Let