) = y**3 + 8*y**2 + 6*y - 13. Let c(q) = 3*q**3 + 17*q**2 + 12*q - 27. Let p(a) = -3*c(a) + 7*f(a). What is the remainder when p(-3) is divided by 21?
8
Suppose -4*t + 4940 = 4928. Suppose 6*o + 74 = 8*o. Calculate the remainder when o is divided by t.
1
What is the remainder when 9 + -2 + (0 - 190)*-17 is divided by 41?
39
Suppose 251*n - 257*n + 642 = 0. What is the remainder when 1278 is divided by n?
101
Let u = -2296 + 2731. Calculate the remainder when u is divided by 35.
15
Suppose -9*p - 55 = 863. What is the remainder when 43 is divided by 3/((-90)/p)*5?
9
Let v = 113 - 480. Let y = v + 443. Let p(r) = 4*r - 4. What is the remainder when y is divided by p(6)?
16
What is the remainder when 1916/10*(-675)/(-270) is divided by 15?
14
Let p = -9746 - -9835. What is the remainder when p is divided by 5?
4
Let s = -597 + 539. Let d = -22 - s. Calculate the remainder when 73 is divided by d.
1
Suppose -3*d + 14 = -4*d. Let t = 31 + d. Calculate the remainder when -6*((-49)/12 - 45/36) is divided by t.
15
Let s(c) = -47*c + 184. Calculate the remainder when 507 is divided by s(2).
57
Let l(q) = -q**2 - 16*q - 46. Let t be l(-11). Suppose 23*h - t = 290. What is the remainder when 49 is divided by h?
10
Let o = -425 - -1029. Calculate the remainder when o is divided by 51.
43
Let s = -18926 - -19032. Calculate the remainder when s is divided by 64.
42
Let b = -51 + -5. Let f = b - -59. Suppose -f*t = 15, -x - 153 = -5*x + t. Calculate the remainder when x is divided by 13.
11
Let v(j) = -j**2 + j + 10. Let g = -16 - -16. Let s be v(g). Calculate the remainder when 41 is divided by 212/20 + 4/s.
8
Suppose 21*r - 1916 = 65*r + 372. Let c(u) = 2*u**3 - 6*u**2 - 5*u - 1. Let d be c(5). Let v = d + r. What is the remainder when 40 is divided by v?
18
Suppose -2*t + 74 = 4*f, -t + 13 + 16 = -2*f. Suppose -2*p + 30 = -3*p. Calculate the remainder when t is divided by p*(3/(-6))/1.
3
Let c = -56 - -127. Suppose 0 = k + k - 6. What is the remainder when c is divided by 1 - k - (-1 + -20)?
14
Suppose -5*r = 102 - 117, -4*w = -4*r - 168. What is the remainder when w is divided by 6?
3
Let a = -2245 - -2297. What is the remainder when a is divided by 3?
1
Let i(k) = -2*k**2 + 61*k + 259. Calculate the remainder when i(16) is divided by 10.
3
Let v = -111 - -114. Suppose 2*b + 6 - 76 = 5*m, 5*m = v*b - 110. Calculate the remainder when 78 is divided by b.
38
Suppose 40*r - 36*r - 144 = 0. Let t(f) = 43*f + 53. Let y be t(6). Let u = y + -132. What is the remainder when u is divided by r?
35
Suppose 2*m - 2711 = -3*r, 2*m + 3*m = 3*r - 2683. What is the remainder when r is divided by 901?
0
Let i(o) = 9*o - 17. Let a be i(2). Let s be (3 - 4 - a)*(-5)/2. Suppose 0 = -b + s*h + 25, -3*h = -b - 8*h + 5. What is the remainder when 24 is divided by b?
9
Let j(l) = -2*l - 14. Let m be ((-104)/(-20))/((-14)/35). Suppose -5*v + 66 + 104 = 0. Calculate the remainder when v is divided by j(m).
10
What is the remainder when 1572 is divided by (-12502)/(-114) - (0 + 1/(-3))?
32
Suppose 55 = 2*p - 27. What is the remainder when p is divided by 9 - (-2 + -10 + 0)?
20
Suppose 0 = -2*m + 46 + 108. Let o = -37 - -78. Calculate the remainder when o is divided by 156/14 + (-11)/m.
8
Suppose 0 = -x - 5*d - 13, 4*d = -32*x + 35*x - 94. What is the remainder when 8/(-2) - 628/(-4) is divided by x?
21
Suppose 3*a + 2*z - 4 - 7 = 0, -5*a = 2*z - 17. Suppose 3*g - 123 = a*i - 8*i, 2*g + 46 = 2*i. What is the remainder when 190 is divided by i?
22
Let s = 6340 - 3974. What is the remainder when s is divided by 34?
20
Let i = -7895 - -7931. What is the remainder when 152 is divided by i?
8
Suppose 5*k = 2*x - 34 + 252, -2*x + 222 = 5*k. Let n = 10 + 34. Calculate the remainder when k is divided by n.
0
Suppose 0 = 5*j + 2*t - 83, 5*t - 72 - 23 = -5*j. Suppose -76*d = -81*d + j. Suppose d*u - 50 = 46. Calculate the remainder when u is divided by 7.
4
Let j(c) be the third derivative of c**6/120 + 4*c**5/15 + 7*c**4/8 + 2*c**3/3 + 49*c**2. What is the remainder when j(-14) is divided by 13?
11
Suppose -4*o = -31*m + 32*m - 52, 3*o - 38 = -m. Let j = -93 - -160. What is the remainder when j is divided by o?
11
Suppose 3*v - v = -3304. Suppose 35*r + 82 = -20*r + 852. Calculate the remainder when 3/9 + v/(-12) is divided by r.
12
Suppose 6*o + 1440 = 14*o. Suppose 142*c = 147*c - o. What is the remainder when 213 is divided by c?
33
Let r(w) = w**3 + 23*w**2 - 5*w - 71. Suppose -5*z = -23*z - 414. Calculate the remainder when r(z) is divided by 19.
6
Suppose -3*a + 40 = -0*a + 2*j, 0 = 3*j - 15. What is the remainder when 2738 is divided by a?
8
Suppose -2*r - 34 = -186. Calculate the remainder when r is divided by 1*(-2 + (-19 - -14)) + (22 - 1).
6
Let h(i) = -48*i + 155. Let c(t) = t**2 + 4*t. Let f be c(-5). Suppose 2*b - 4*z = -z + 30, 46 = 2*b + f*z. What is the remainder when b is divided by h(3)?
7
Suppose 0 = 3*d - 5*y - 15, 31*y = -3*d + 33*y + 24. Calculate the remainder when 1898 is divided by d.
8
Suppose -f + 9 = 0, 2*f + 734 = o + 488. Calculate the remainder when 29301 is divided by o.
261
Suppose -83*n = 80*n - 175*n + 6588. Calculate the remainder when n is divided by 151.
96
Suppose -4*f + 9*w + 704 = 11*w, -2*w = -f + 186. What is the remainder when 183 is divided by f?
5
Suppose 15*f - 12*f + 48 = 2*o, -4*f = 16. What is the remainder when 1005 is divided by o?
15
Let i = 25 + 67. Let m = i + -94. What is the remainder when m/3 + (-980)/(-21) is divided by 18?
10
Let a(z) = z**2 + 17*z - 2832. Calculate the remainder when 435 is divided by a(46).
39
Let r be 6 - 4/(-3 - 1). What is the remainder when 46 is divided by 13/(r + (-6)/1)?
7
Let a be (16 - 16)/(0 + 2). Suppose 26*b - 802 - 342 = a. Calculate the remainder when 52 is divided by b.
8
Let t(f) = -2*f - 17. Let r(s) = 74*s**3 + 3*s**2 - 5*s + 3. What is the remainder when r(1) is divided by t(-24)?
13
Let d = 327 - 208. Calculate the remainder when d is divided by 38.
5
Let g = 142 + -121. Suppose 4*r - 6 = 14. Calculate the remainder when g is divided by r.
1
Let m(h) = -3*h - 27. Let c be m(-13). Let f be 6/c*(-2 + 6). Suppose 5*v + 20 = 0, -6*l + 364 = -f*l + 5*v. Calculate the remainder when l is divided by 25.
21
Let g = -101 - -105. Suppose -g = -2*r - 12. Let q(y) = -6*y - 16. What is the remainder when q(r) is divided by 5?
3
Let q(c) = c**3 - c**2 + c + 129. Let j be q(0). Let h = -60 + j. Suppose 3744*x - 17957 - 47094 = 8193 + 20356. What is the remainder when h is divided by x?
19
Let h(l) = -35*l**3 - 20*l**2 - 41*l - 3. What is the remainder when h(-2) is divided by 35?
34
Let t = -2567 + 2640. Calculate the remainder when t is divided by 7.
3
Suppose 4*k + 464 = -636. Let b = -50 - k. Suppose 150 + 78 = 4*u. Calculate the remainder when b is divided by u.
54
Let i be (21/(-8) - (-18)/(-48)) + 7. Suppose 0 = -2*y - 2*y + 28. Let n = y + i. What is the remainder when 43 is divided by n?
10
Let q(x) = x**2 - 13*x - 332. Suppose -1 = 3*k - 2*k. Calculate the remainder when (-1 - k) + (-51)/(-3) is divided by q(-13).
5
Let c(k) = -k - 3. Let a be c(-3). Suppose a*d = -2*v + d - 5, -v - 3*d = 13. What is the remainder when (30/(-8))/(v/80) is divided by 19?
18
Let o = -13576 - -14101. Calculate the remainder when o is divided by 38.
31
Suppose -2*v + 18 = -4*f, 6 = -5*v + 2*v - 5*f. Suppose -v*m - 994 = -1024. What is the remainder when m is divided by 6?
4
Suppose 6*l = 4*k + 5*l + 3, l = -5*k + 3. Suppose -3*d - v + 71 = k, -4*v - 2 = -10. What is the remainder when d is divided by 4?
3
Let v = 14189 - 13733. What is the remainder when 509 is divided by v?
53
Suppose -3*o = 3*f - 783, -2*o - 17 = f - 538. Suppose -4*w - 4 = -o. Let d = 106 - w. Calculate the remainder when d is divided by 23.
19
Let f be (-102)/(-4)*6/3. Suppose 0 = -2*j - p + f, -3*j - j + p + 105 = 0. Calculate the remainder when j is divided by 13.
0
Let i(k) = 3*k + 39. Let n be i(-10). Suppose n*v = 6020 + 550. What is the remainder when v is divided by 43?
42
Suppose 207 = 5*y - 128. What is the remainder when y is divided by (10/(-20)*1)/(1/(-18))?
4
Suppose -26*r + 1886 = -22*r + u, -4*r + 5*u = -1922. Calculate the remainder when r is divided by 20.
13
Calculate the remainder when (-18 + -11)/((-4)/312) is divided by 8