n is divided by 10.
9
Let z be 610/9 + 86/387. Suppose 45*r - z*r + 920 = 0. What is the remainder when 154 is divided by r?
34
Suppose -1957*p = -2*x - 1954*p + 22, 3*x - 5*p = 32. What is the remainder when 3019/6 + (-9)/54 is divided by x?
13
Suppose 90*j = -221*j + 38564. What is the remainder when 240 is divided by j?
116
Let p(c) = c**2 + 38*c + 125. Let s be p(-37). Suppose -4*m + 3*k = -s + 15, -2*m + 4*k = -34. What is the remainder when m is divided by 3?
1
Calculate the remainder when ((-3)/2)/(1800854/85756 + -21) is divided by 42.
9
Suppose 0 = 6*t - 2*t - 12. Suppose t = 6*r - 5*r. Suppose r*s = 3*y - 39, 89 = 5*y - 2*s + 30. Calculate the remainder when 17 is divided by y.
6
Suppose -108 = -5*q + 77. Suppose -34*b = -q*b + 342. Let t = -69 + b. What is the remainder when t is divided by 12?
9
Let b(a) = -3 - 2 + 3 + 22*a + 1. Let v be b(2). Suppose -39*f - 76 = -v*f. Calculate the remainder when 56 is divided by f.
18
Let l = -96830 - -96867. Let f(g) = -g**3 - 3*g**2 - 2*g + 8. Let t be (7/3)/((-3)/9). Calculate the remainder when f(t) is divided by l.
33
Let x be (21/(-4))/(16/(-64)). Suppose -31 = -w - x. What is the remainder when 34 is divided by w?
4
Let s be (2 + 20/(-8))*-26. Suppose 15*b - s*b = -5*w + 131, w - 4*b - 13 = 0. Calculate the remainder when 122 is divided by w.
22
Let r be 2/(-13) - 396/(-39). Let a(t) = t**2 - 4*t - 6. Let h be a(-3). Let s = h + r. Calculate the remainder when 95 is divided by s.
20
Let v(t) = -4*t**2 + 182*t - 1353. Let l = -3 + 6. Suppose 3*g = -0*g + l*n + 15, -g = 3*n - 9. Calculate the remainder when v(36) is divided by g.
3
Suppose 2*c + 92 = 3*a, -c + 3*c + 5*a + 60 = 0. Let j = c + 56. Let z = j + 2. Calculate the remainder when 52 is divided by z.
16
Let m = 2116 + -2018. What is the remainder when m is divided by 9?
8
Suppose 3*o - 4*s - 206 = 0, 3*s = 25*o - 26*o + 47. Calculate the remainder when o is divided by 36.
26
Let q be (6 + 378/12)*(7 - 1). Suppose 4*o + w - 102 = q, -o + 81 = w. Calculate the remainder when o is divided by 11.
5
Let j be 24/3*(-60)/16*-7. Suppose q = 11*q - j. What is the remainder when q is divided by 8?
5
Suppose 0 = 2*z - 16, 2*q - 14 = 4*q - 5*z. What is the remainder when 898 is divided by q?
1
Suppose 0 = 3*t + u - 173, 52*t - 49*t - 3*u - 165 = 0. What is the remainder when 1309 is divided by t?
55
Let q(o) be the second derivative of 11*o**5/20 - o**4/4 + o**3/3 - o**2/2 + 3*o - 107. Suppose -1 = 3*p - 7. What is the remainder when q(p) is divided by 10?
9
Let o = 361 - 356. Suppose 301 = 2*v + o*v. Calculate the remainder when v is divided by 6.
1
Suppose 74*c - 4201 - 61955 = 0. What is the remainder when c is divided by 288?
30
Let t(m) = 7*m**2 - 110*m + 216. What is the remainder when t(19) is divided by 9?
5
Let h = -1868 - -2339. Calculate the remainder when h is divided by 53.
47
Suppose 5*f - 2*n = 324, 128*f - 130*f = 4*n - 120. Suppose 0*j + 2*j - 86 = 0. Let z = 60 - j. What is the remainder when f is divided by z?
13
Let a be 1/(-4) + (-252)/(-48). Suppose 2*s = -8, 3*s + 0 + 2 = -a*r. Suppose r*x - 5 = -3*z, x + 4*z = 2*x + 3. What is the remainder when x is divided by 1?
0
Let b(n) = n**3 - n + 10. Suppose -24 + 14 = -5*a. Suppose 0 = 7*s + a*s. Calculate the remainder when 69 is divided by b(s).
9
Let d(u) = -20*u**2 - 3*u + 2. Let k be d(3). Let g = 125 - 224. Let o = g - k. What is the remainder when o is divided by 30?
28
Suppose p - 71 = q, -5*p = -3*q + 256 - 597. What is the remainder when p is divided by 28?
8
Suppose 102*h - 106*h = 12. Calculate the remainder when 107 is divided by h/7 + 609/49.
11
Let n(y) = -y**2 + 16*y - 61. Let j(i) = i**2 - 4*i - 10. What is the remainder when j(-3) is divided by n(7)?
1
Let m be 1/(-2) - 342/(-12). Suppose 4*q - 4*l = 4, q = -4*l + m - 2. Suppose -80*p + 1194 = 463 - 1429. What is the remainder when p is divided by q?
3
Suppose -6*b + 1061 = 251. Suppose 48*v - b = 33*v. Calculate the remainder when 98 is divided by v.
8
Let u(m) = m**3 + 52*m**2 - 166*m - 50. Calculate the remainder when 267 is divided by u(-55).
2
Let h = 3711 + -3557. What is the remainder when 269 is divided by h?
115
Let z = -31 - -31. Suppose 86 = 4*r - 5*c + 7*c, z = 2*c - 10. Calculate the remainder when r is divided by 7.
5
Let y = -17342 + 17358. Let j(l) = 2*l**3 + l**2 - 4. Calculate the remainder when j(3) is divided by y.
11
Let r = -6300 - -9072. Calculate the remainder when r is divided by 37.
34
Suppose -41*l = -1102 + 118. Calculate the remainder when 161 is divided by l.
17
Let n = 5 + -11. Let y be (n/18)/((-3 - -2)/6). Suppose -3*f - y*f = -165. Calculate the remainder when 96 is divided by f.
30
Let v = 5050 - 4855. What is the remainder when v is divided by 181?
14
Let b = -13 + 8. Let o be (-51)/b - (-6 - (-93)/15). Suppose 251 = 5*u - 2*u + 5*t, 5*t = -o. Calculate the remainder when u is divided by 15.
12
Suppose -233 = -4*o - s, 0 = 3*o + 3*s - 161 - 7. Suppose 4*n = -2*c + 72, 12*n = 13*n - 5*c + 26. Calculate the remainder when o is divided by n.
3
Let d(z) = z**2 - 4*z - 798. Let l be d(0). What is the remainder when (l/(-63))/((-6)/(-63)) is divided by 9?
7
Suppose 2*n - 1040 = -3*p + 311, -5*n = 5*p - 2260. Calculate the remainder when p is divided by 57.
48
Let x(z) = -7*z**3 + 3*z - 9. Let o be ((-8)/(-6))/((8/6)/2). Let s be x(o). Let p = -53 - s. Calculate the remainder when 47 is divided by p.
5
Let b = 20517 + -20047. Let r = -26 + 69. Calculate the remainder when b is divided by r.
40
Let f(o) = -2*o**3 + 35*o**2 - 122*o - 26. What is the remainder when 3190 is divided by f(12)?
88
Suppose -57*f = -61*f + 204. Let m = 36 + -13. Suppose m*p - 26*p + f = 0. Calculate the remainder when p is divided by 5.
2
Let f(t) = -t**2 + 16*t - 44. Let p be f(7). Let r = p + -2. Suppose -18*d + 28 = -r*d. What is the remainder when 108 is divided by d?
24
Let k be (-8)/30*(-9)/6*20. Suppose 0 = -3*o + 25 + k. Let c = -48 - -53. Calculate the remainder when o is divided by c.
1
Let r(b) = 5*b**2 + 93*b - 128. What is the remainder when 845 is divided by r(-21)?
101
Suppose -3*w = 2*y - 60, -10 + 25 = -5*y. Suppose 1599 = -30655*i + 30668*i. Calculate the remainder when i is divided by w.
13
Let a be (2/(-6))/((-32)/10656). Let r = 140 - a. Suppose 31*j - 32 = r*j. Calculate the remainder when j is divided by 13.
3
Let t be (2 - (-16)/(-3))/(5/(-15)). Suppose -t*b + 58 = 8. Calculate the remainder when 83 is divided by (-910)/13*(-3)/b.
41
Suppose -42*k - 828 = -1416. What is the remainder when 275 is divided by k?
9
Suppose -4*i + 60 = -36. Calculate the remainder when 188 is divided by i.
20
Let r(s) = 5*s - 14. Let m be r(7). Let q = m - 25. What is the remainder when 14 is divided by 6/q + (-108)/(-24)?
2
Let j be (12 + -1 - -1)/((-22)/(-88)). Suppose j + 10 = 2*t. Calculate the remainder when 96 is divided by t.
9
Let z = -8649 - -8730. Suppose 2*q - 75 = -3*q. What is the remainder when z is divided by q?
6
Let s(c) = 175*c - 519. Calculate the remainder when 1770 is divided by s(5).
346
Let r(i) = i**2 - 33*i - 1. Let k be r(33). Calculate the remainder when (98 - -3 - (k + -2)) + 0 is divided by 12.
8
Suppose -97 = -20*z + 23. Suppose 3*m - 2*q = 197, 2*m - 134 = z*q - 2*q. What is the remainder when 192 is divided by m?
62
Let b = 47 - 34. Let m(n) = -n**3 + 26*n**2 - 10*n - 311. Calculate the remainder when m(25) is divided by b.
12
What is the remainder when 3134 is divided by 12 + (8 - 6) + (-9)/1?
4
Let l(d) = 4*d + 71. Let n be l(-21). Calculate the remainder when -11 - n - 17*(0 - 1) is divided by -1*(-4 + 4/(-4)).
4
Let f(i) = -22*i + 133. Let l be f(6). Suppose 2*d + 2*q - 48 - 48 = 0, -2*d + 93 = -q. What is the remainder when d is divided by (l + 4)/(-5 + 22/4)?
7
Let x = 117 - 114. Calculate the remainder when 4 + -5 + (-2 - (-105)/x) is divided by 7.
4
Suppose 127*h - 38*h - 4984 = 0. Calculate the remainder when 612 + (-1 - -2) - -2 is divided by h.
55
Let t(i) be the first derivative of i**3/3 + 21*i**2/2 + 84*i + 121. What is the remainder when 94 is divided by t(-17)?
14
Suppose 77*v = 70*v + 84. What is the remainder when 1930 is divided by v?
10
Suppose -12*s - 1624 = -16*s - 2*c, -5*s - 3*c + 2028 = 0. Calculate the remainder when s is divided by 30.
18
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