e the remainder when 47 is divided by j(-1).
5
Suppose -4*k = -108 - 60. Let r(x) = 3*x - 119. Calculate the remainder when k is divided by r(45).
10
Suppose 13 = n - b, -5 + 23 = n - 2*b. Calculate the remainder when 75 is divided by (26/(-4) + n)/(1/26).
36
Let d(l) = -2*l**3 + 6*l**2 + 6*l. Let q be d(-1). What is the remainder when 239 is divided by (-486)/(-12)*(0/(-1) + q)?
77
Suppose 33*c - c = 2144. Calculate the remainder when 8506 is divided by c.
64
Calculate the remainder when (3 + -5)*25/(-100)*37654 is divided by 7.
4
Suppose 0 = -89*z + 91*z - 36. Calculate the remainder when (-3980)/(-16) + (1/4)/1 is divided by z.
15
Suppose -974 = -38*g + 204. Let m be (4/1)/(-4) + 4. Let o = 57 + m. What is the remainder when o is divided by g?
29
Suppose -q = -2*x - 4, 4*q = 8*q + 8. Suppose 2*g + g - 240 = 4*n, -4*n + 12 = 0. Calculate the remainder when g is divided by (325/65)/((-1)/x).
9
Let s = 54 - 21. What is the remainder when 193 - (10/(-55) + 6/(-165)*-5) is divided by s?
28
Suppose -6931*d + 6918*d + 156 = 0. What is the remainder when 212 is divided by d?
8
What is the remainder when 289 is divided by (-3)/1*5*(-423)/45?
7
Let v(b) be the third derivative of 7*b**4/4 + 59*b**3 + 3*b**2 - 4*b. What is the remainder when 65 is divided by v(-8)?
11
Let t(s) = -31*s - 23. Let u(l) = -3*l - 16. Let y be u(-3). What is the remainder when t(y) is divided by 66?
62
Suppose 171 = 12*n - 273. What is the remainder when 100 + 5 + (1 - -2) is divided by n?
34
Suppose 0 = n - 3*r - 8, 28 = n + r - 4. Suppose 0 = 3*q + 5*d - 14, -7*q + 12 = -2*q - 3*d. What is the remainder when n is divided by q?
2
Let d = 177 - 132. Suppose 0 = -16*m + 15*m + d. Calculate the remainder when 266 is divided by m.
41
Suppose 0 = -q - 26*i + 22*i + 1882, -4*q - 5*i + 7550 = 0. Calculate the remainder when q is divided by 11.
9
Let o = 21 + -20. Let h be (o - 8/5)/(3/(-15)). Suppose h*m = -z + 2*z + 64, 5*z = -3*m + 40. What is the remainder when m is divided by 8?
4
Let o be 6/(21/6 - 5). Let z = 6 - -17. What is the remainder when 38/6*(o*27)/(-6) is divided by z?
22
Let s(o) = -o + 3. Let j(t) = t**3 + 21*t**2 + t - 30. Let z be j(-21). Let f = z + 44. Calculate the remainder when 36 is divided by s(f).
6
Let l = -82 + 162. Let x = l + -68. What is the remainder when x is divided by 8?
4
Suppose 0 = r - 2*r + 8. Suppose 120 = 4*s - r. Calculate the remainder when s is divided by (-6 - (-132)/21)/(10/385).
10
Suppose -1709*q + 21440 = -1645*q. Calculate the remainder when q is divided by (252/(-15))/((-2)/10).
83
Let m(a) = -a**3 + 13*a**2 + 28*a + 20. Let d be m(15). What is the remainder when 151 is divided by -14*((-2)/d)/(24/(-60))?
4
Suppose -19*s + 16*s + 6 = 0. Suppose -2*p + s*g + 240 = 0, p - 140 = -7*g + 3*g. Calculate the remainder when p is divided by 18.
16
Let o = 16138 + -16127. What is the remainder when 3723 is divided by o?
5
Let s(u) = 4*u - 4. Let w be s(2). Suppose -w*n = 4*k + 20, 0 = -3*k + 6*n - 7*n - 5. Suppose k = -i + 3*i - 38. Calculate the remainder when i is divided by 8.
3
Suppose -4*x - 4*f = -8*f - 56, 3*f = -x + 2. Suppose x*l = 342 + 87. Suppose 5*s + 2*q - 582 = 0, 1 = 2*q - 1. What is the remainder when s is divided by l?
38
Let r(k) = k**2 - 18*k - 3. Let i be r(21). Suppose 4*l - 48 = 4*w - 0, -5*l + 4*w + i = 0. What is the remainder when l is divided by 7?
5
Suppose -2*p - 4*m = 176 - 1284, -4*p + 2227 = -3*m. Calculate the remainder when p is divided by 97.
71
Let v(r) = -r**2 - 21 - 4*r + 15*r + 6*r. Let h be -49 + 60 + (-3)/(-1). Calculate the remainder when 104 is divided by v(h).
20
Let x = 328 + -332. Let s(d) = 5*d**2 - 16*d - 81. What is the remainder when 183 is divided by s(x)?
57
Suppose -5*v - 2751 = -4*b, b + 2*b = -3*v + 2043. Let n = -676 + b. Calculate the remainder when 21 is divided by n.
5
Suppose -12 = 3*q, 4*l - 2*q = -4*q + 2484. Calculate the remainder when 624 is divided by l.
1
Suppose -6084 = -5*u - h, -3*u + h = 2*h - 3652. Calculate the remainder when u is divided by 402.
10
Let v = -52 + 57. Let i be -8*(0 + 1 - v). Let u = i + -28. What is the remainder when 10 is divided by u?
2
Let p = 31092 + -27220. What is the remainder when p is divided by 1287?
11
Suppose 0 = 3*s - 5*s + 256. Suppose 4*m - s - 48 = 0. Suppose 3*y + 71 = 7*o - 2*o, -7*o + 89 = y. Calculate the remainder when m is divided by o.
5
Suppose d = -d + 192. Let y(t) = t**2 - 99*t - 20924. What is the remainder when y(-104) is divided by d?
92
Let j = -12557 - -12601. What is the remainder when 584 is divided by j?
12
Let v(a) = -a**3 - 80*a**2 - 164*a - 239. What is the remainder when v(-78) is divided by 182?
21
Let k be 1/((-14)/12)*-7. Let y(u) be the third derivative of -u**5/30 + 5*u**4/12 + 3*u**3 - u**2 - 219*u. What is the remainder when 9 is divided by y(k)?
3
Let k = 3753 - 3497. Calculate the remainder when k is divided by 75.
31
Let o = 305 + -302. Suppose -2*z + 172 = o*b, 0 = -5*z - 14*b + 18*b + 407. Calculate the remainder when z is divided by 45.
38
Let j(r) = -3*r**2 - 31*r + 73. What is the remainder when j(-10) is divided by 21?
20
Suppose 3*c - 9 = 0, -3*b + 93 = 5*c + 15. Let l(w) = 23*w + 7. Let x be l(6). Let m = 246 - x. What is the remainder when m is divided by b?
17
Let j(l) = l**3 - l + 64. Let t(v) = 3*v**2 + 63*v + 311. Calculate the remainder when j(0) is divided by t(-14).
13
What is the remainder when ((-6)/(-27) - (-4876)/(-72))*(-1976)/190 is divided by 67?
32
Suppose 5*h - 9 = d, 0 = 11*h - 7*h - 20. What is the remainder when 123 is divided by d?
11
What is the remainder when (-135)/162 + -69*(-3426)/108 is divided by 17?
12
Let l(c) = -13 - 18 + 280*c**2 - 2*c - 21 + 50. Let r be l(-1). Suppose -9*p + p + r = 0. What is the remainder when p is divided by 19?
16
Let b(w) = -2*w**3 + 11*w**2 - 5*w + 80. Calculate the remainder when 14824 is divided by b(6).
12
Suppose 0 = -6*i - 2*i - 48. Calculate the remainder when 109/i*(27 + -33) is divided by 28.
25
Let h(m) = 4*m**3 - 8*m**2 - 5*m - 3. Let s(t) = -5*t**3 + 8*t**2 + 5*t + 4. Let i(k) = -4*h(k) - 3*s(k). What is the remainder when 118 is divided by i(8)?
38
Suppose -3*f + 54 = -2*j, 24*f - 25*f = -j - 17. Calculate the remainder when 1419 is divided by f.
19
Suppose 3*x - 4*x + 6 = 0. Let m(s) = -2*s - 16. Let v(h) = -h - 13. Let w(j) = -3*m(j) + 4*v(j). Calculate the remainder when 27 is divided by w(x).
3
Let z(w) = 12*w**2 - 2*w + 562. What is the remainder when z(-16) is divided by 912?
18
Suppose 4*c = -5*o + 31, 3*o + 4*c = 7*c - 3. Calculate the remainder when -2 - ((-10824)/308)/(2/14) is divided by o.
1
Let c(f) = -279*f - 34. Calculate the remainder when c(-1) is divided by 70.
35
Suppose 112 - 1375 - 232 = -23*y. What is the remainder when y is divided by 53?
12
Suppose 57*g - 5894 = 19642. Calculate the remainder when g is divided by 25.
23
Suppose -45*l + 3*o - 4 = -50*l, 0 = -2*l - 5*o - 6. Suppose l*v - 10 - 10 = -4*d, -5*v - d = -86. What is the remainder when 71 is divided by v?
17
Suppose 27*w = -109*w + 8160. What is the remainder when 295 is divided by w?
55
Suppose k - 3*d + 45 = 6*k, 0 = 4*k + 5*d - 49. Suppose -o = -k*o + 50. What is the remainder when (-1292)/(-513)*18 + (-4)/(-6) is divided by o?
6
Suppose -4*q - 4*c = -5392, -31*q = -36*q + 5*c + 6690. Suppose o = q - 751. Calculate the remainder when o is divided by 33.
31
Let j(m) = -3*m**3 - 4*m**2 - 16*m - 29. Let k be j(-3). Suppose -5*o + 181 + k = 0. Calculate the remainder when 190 is divided by o.
43
Suppose -20 - 41 = -h. Let f = -2124 + 2423. What is the remainder when f is divided by h?
55
Let w = 122 - 118. Suppose -299 = -3*u + w*t, 5*t = u + 3*t - 103. What is the remainder when u is divided by 12?
9
Let t(j) = 948*j - 3760. Calculate the remainder when 829 is divided by t(4).
29
Let c(y) = y**3 + 12*y**2 + 17*y + 18. Let k be c(-11). Let v = 71 + k. Let b = 67 - 24. What is the remainder when b is divided by v?
20
Suppose -141*x + 6622 = -64*x. What is the remainder when 2747 is divided by x?
81
Let z(l) = -l + 13. Let x be z(10). Suppose -x*n - 25 = 4*h - 0*n, 3*n = 2*h + 35. Calculate the remainder when 57 is divided by (3 - (-28)/h) + 79/5.
9
Let t = 4073 - 4059. Calculate the remainder when 83 is divided by t.
13
Let u be (-27 + 0)/(-