123. Calculate the remainder when 592 is divided by w.
10
Let x be (-4)/6 - (-8)/3. Suppose -2*j + 20 = 4*v, -2*j + 8 = x*j. Calculate the remainder when 2478/295 - 42/(-70) is divided by v.
1
Let x = -23 - -30. Let l = -4 + x. Suppose -l*k - 5 = -86. Calculate the remainder when k is divided by 15.
12
Suppose 93*a + 490 = 98*a. What is the remainder when 975 is divided by a?
93
Calculate the remainder when ((-20)/14)/(33/(3 + -5085)) is divided by 79.
62
Suppose 0 = -5*k + 2*s + 607, 5*k - 5*s = 3*k + 226. Suppose 25 = 5*j, -331 + k = -4*g + 4*j. Calculate the remainder when g is divided by 5.
2
Let u(p) = 183*p - 3584. Calculate the remainder when 1211 is divided by u(20).
71
Suppose 4*h - 99 - 301 = 0. Suppose 150 = 5*t + 5*y, 71 + 55 = 5*t - 3*y. What is the remainder when h is divided by t?
19
Let i be -4 - (-143 - (1 + 1)). Suppose r - 1 - 2 = 4*h, 2*r - h - 27 = 0. Suppose -4*p + i = -r. What is the remainder when 76 is divided by p?
37
Suppose 2*a = 0, 2*u + 26 = 5*a - 300. Let f = u + 190. Suppose 1 = -b + 11. Calculate the remainder when f is divided by b.
7
Suppose 0 = o - 5 - 35 + 21. Suppose -2*w - 10 = 0, 3*h - 3*w - 70 = 104. Calculate the remainder when h is divided by o.
15
Suppose -24 = 4*z, -14*h + 5*z = -17*h + 1935. What is the remainder when h is divided by 110?
105
Let d be -103*(-1 + 0)*2. Let i = d - 129. Suppose -6*c = 10*c - 256. What is the remainder when i is divided by c?
13
Let q(u) = -41*u - 17 + 45 + 40*u. Suppose -3*c + 3*t + 78 = 0, -7 = 2*c + 2*t - 43. Calculate the remainder when c is divided by q(13).
7
Suppose -70*k - 2259 = -74*k + q, 4*q = 3*k - 1717. Calculate the remainder when k is divided by 159.
86
Let z(g) be the first derivative of 2*g**3/3 + 5*g**2/2 - 16*g + 40. What is the remainder when z(-6) is divided by 9?
8
Suppose 50*z - 52*z - 24 = 0. Suppose 0*d = -3*d + 108. Calculate the remainder when d is divided by 0 - (-6)/z - 78/(-4).
17
Let d = -142 + 156. Calculate the remainder when 2700 is divided by d.
12
Let d = 212 - 208. Suppose c + 1 = d*a, -10*c - 4*a = -7*c - 61. What is the remainder when 89 is divided by c?
14
Suppose -b = -5*l - 74, 5*b - 172 - 88 = 3*l. Let y = 3919 + -3688. What is the remainder when y is divided by b?
35
Suppose -3*o = -7*o - 16. Let n(a) = a**2 + 4*a + 4. Let u = 797 + -795. What is the remainder when n(o) is divided by u?
0
Let u(g) = 6*g**2 + 15*g + 40. Let l = -234 - -224. Calculate the remainder when u(l) is divided by 17.
14
Suppose -3*m = 4*p + 7 - 33, 2*p + m - 10 = 0. Calculate the remainder when 145 is divided by p.
1
What is the remainder when (-12516 + 17 + -12)*-1 is divided by 291?
289
Suppose -9*u - 5*c = -2551, 5*c - 148 = -3*u + 729. What is the remainder when 2505 is divided by u?
273
Suppose 0 = 28*v - 20*v - 160. Suppose -2*q = -0 - v. Suppose 0*k - k + 46 = 0. Calculate the remainder when k is divided by q.
6
Suppose 0 = 2*y + 34 - 38. Suppose -1782 = -7*r - y*r. Calculate the remainder when r is divided by 20.
18
Suppose 3*q = -z + 85, 62*z = 64*z - 2*q - 170. What is the remainder when z is divided by 13?
7
Let j = 47 + -20. Let v be ((-2)/(-4) - -2)/((-2)/4). Calculate the remainder when (v/(-4))/(7/588) is divided by j.
24
Let d(p) = -p**3 - 8*p**2 - 48*p - 545. What is the remainder when 7825 is divided by d(-10)?
130
Let y(r) = -r**3 - 12*r**2 - 20*r + 10. Let x be y(-10). Suppose -4*w + 5 + 191 = 0. What is the remainder when (x - 13 - -2) + 1 + 195 is divided by w?
48
Let c be ((-8)/(-6))/((-15639)/(-5211) - 3). Suppose 9*w = 15*w - c. Calculate the remainder when w is divided by 39.
37
Suppose 4*m - 65 = -4*u - 9, 4*u - 44 = -m. Calculate the remainder when 1655 is divided by u.
5
Let y(r) = -r**3 - 4*r**2 - 3*r - 3. Let h be 20/(-3)*54/(-30). Suppose -4*u + u - h = 0. What is the remainder when 25 is divided by y(u)?
7
Suppose 4*i = p - 59, 3*i = 5*p - 143 - 220. Calculate the remainder when 184 is divided by p.
34
Let r(o) = -588*o - 63. Let u(s) = 19*s + 2. Let n(b) = 2*r(b) + 63*u(b). Suppose -29*v + 2632 = 892. What is the remainder when v is divided by n(1)?
18
Suppose 4*d + 103 = 5*d + 3*i, 3*d + 3*i - 285 = 0. Calculate the remainder when 175 is divided by d.
84
Let l = 26 + -46. Suppose 0 = 9*f - 976 - 149. What is the remainder when f is divided by (-364)/l - (-2)/(-10)?
17
Calculate the remainder when 3271 is divided by (1054/(-85))/31 + (84/(-5))/(-2).
7
What is the remainder when 1055 is divided by (-5)/(770/(-126) - -6)?
20
Let t(m) = -m**2 + 8*m + 12. Let a be (2/2 + (-90)/27)*-3. What is the remainder when t(a) is divided by ((-22)/4)/((-3)/6)?
8
Suppose 7*b + 30 = 51. Suppose 138 = y + 4*g, 231 = y - b*g + 65. Calculate the remainder when y is divided by 40.
34
Suppose -7*c = -4*c - d - 506, 334 = 2*c - 4*d. Let o = 4125 + -4108. What is the remainder when c is divided by o?
16
Let t(u) = u**2 + u + 5. Suppose 5*d - 4*k = 55, 5*k = -d - 0*k - 18. Let y(o) = 2*o + 16. Calculate the remainder when t(d) is divided by y(3).
17
Suppose 0 = -4*o - 16, -2*h + 34 = 6*o - 5*o. Suppose 24*t = h*t + 55. Calculate the remainder when 18 is divided by t.
7
Suppose 0 = -4*n - 0*n + 116. Suppose 4*b = -r + n, -b = 4*r + 2*b - 103. Suppose -111 = -8*z + r. What is the remainder when z is divided by 7?
3
Suppose 5*l - 427 = -5*p + 2*p, -p + 4*l + 131 = 0. Let q(y) = 3*y**3 + y**2 - 7*y + 4. Calculate the remainder when p is divided by q(2).
13
Let m = 3062 - 2872. Calculate the remainder when m is divided by (-3 + (-51)/(-9))*18.
46
Let a be (-675)/99 + 6/(-33). Calculate the remainder when (2 - -40)/a - -50 is divided by 24.
20
Let i(s) = 2*s**2 - 3*s**2 + 43*s + 14*s**2 - s**2 - 3*s**2 + 24. What is the remainder when i(-7) is divided by 33?
32
Suppose -5*v + 5*b = -440, -2*b - 3*b + 224 = 3*v. Let k(c) = 247*c**3 - 4*c**2 - 417*c + 418. Calculate the remainder when k(1) is divided by v.
78
Let u(t) = t**2 - 6*t + 26. Let q = -20 + 13. Let i(w) = w**3 + 8*w**2 + 5*w - 9. What is the remainder when u(4) is divided by i(q)?
3
Suppose 0 = -2*j - 6 + 4. What is the remainder when j/3*(-16 + -2) is divided by (-1)/(0 - 6/12)?
0
Let n(m) = -m**2 - 9*m + 57. Let k be n(-17). What is the remainder when 466 is divided by 22 + -21 + (2/(-1) - k)?
76
Let m(j) = -1736*j + 46989. Suppose -4*s = 3*b - 33, -2*s - 3*s = 4*b - 40. Calculate the remainder when m(27) is divided by s.
9
Let a = -66 - -87. What is the remainder when 65 is divided by a?
2
Let n(h) = 2058*h**2 - 16*h - 23. Let f be n(-2). Suppose -30 = 23*o - f. What is the remainder when o is divided by 30?
27
Suppose 0 = -16*h + 3630 - 3326. What is the remainder when 385 is divided by h?
5
Suppose 0 = -4*k + k + 2*i + 7, -3 = -3*i. What is the remainder when 5/((2/(-20))/(18/(-18))) is divided by k?
2
Suppose 81*r - 67*r - 122831 = -99*r. Calculate the remainder when r is divided by 32.
31
Suppose m + 3*s + 447 = 0, -19 = m + s + 418. Let g = m + 450. Calculate the remainder when 267 is divided by g.
15
Suppose 0 = -19*o + 185 + 62. What is the remainder when 19 is divided by o?
6
Let c be 1 + 28/10 - 16/20. Suppose -2*h + y + 23 = -14, 50 = c*h + 4*y. Suppose -h*g + 250 = -13*g. Calculate the remainder when g is divided by 14.
8
Let k = -3285 + 3944. Calculate the remainder when k is divided by 165.
164
Suppose 3*z = -0*z + 9. Suppose 24 = -8*g + 12*g. Suppose z*k = g*k - 18. Calculate the remainder when 13 is divided by k.
1
Suppose 6*d = 5*d + 117. Let j be -1 + -2 + -4 + d. Calculate the remainder when 34 is divided by j/9 + 10/(-45).
10
Let n(j) be the second derivative of j**3 - 9*j + 0 - 13/2*j**2. Calculate the remainder when n(5) is divided by 4.
1
Suppose 809 = 124*o - 38*o + 121. What is the remainder when 7702 is divided by o?
6
Let l = 3618 + -3505. Calculate the remainder when l is divided by 11.
3
Suppose 0 = -2*p + 88119 - 88099. Calculate the remainder when 58 is divided by p.
8
Suppose 10*q = 5*q + 10. Suppose -q*v + 5*l = -25, 3*v - 2*l - 34 = 2*l. Let c = v + -9. Calculate the remainder when 1 is divided by c.
0
Let f(n) = -n**2 - 23*n - 117. Let o be f(-15). Let b(z) = 3*z**2 - 2*z + 1. What is the remainder when 128 is divided by b(o)?
18
Suppose 7 = -0*b + b. Suppose -b*q + 32 = -15*q. Let m(h) = -2*h**3 - h**2 + 6*h - 3. Calculate the remainder when m(q) i