s divided by 21?
8
Let z(j) = j**2 + j - 5. Let u(y) = -y + 1. Let d(s) = -4*u(s) + z(s). Let k be d(7). Let l = k - 66. Calculate the remainder when 24 is divided by l.
6
Suppose 0 = 8*q - 13*q - 10. Let o be (3*q/(-3))/(-2). Calculate the remainder when -3 - (o - 2) - -51 is divided by 14.
9
Suppose 4*f = -2*b + 18, 0 = -2*f + 8*b - 12*b. Suppose -s - o = -157, -10*s + f*s + 2*o + 616 = 0. Calculate the remainder when s is divided by 13.
12
Let q(r) = r**3 - 5*r**2 + 8*r. Let m be q(4). Suppose -3*w + 3*l + 5 + 19 = 0, 4*l - m = 0. Let h = 222 + -129. Calculate the remainder when h is divided by w.
9
Let g(q) be the second derivative of -5*q**3/6 - 21*q**2 + 8*q + 2. Let y = -5 + 15. What is the remainder when g(-12) is divided by y?
8
Let t = -10930 + 10999. What is the remainder when 2615 is divided by t?
62
Suppose -5*n + 597 = -4*o, -8*o - 5*n = -4*o + 587. Let p = -119 - o. What is the remainder when 197 is divided by p?
23
Let q = -630 - -3769. Suppose -q = -16*b + 621. What is the remainder when b is divided by 34?
31
Let w(g) = 136*g**2 + 484*g - 8. Calculate the remainder when w(-5) is divided by 157.
30
Let i = -3722 + 4149. Calculate the remainder when i is divided by 82.
17
Let c be 6/(2/(-8)*-6). Suppose -c*g + 21 + 3 = 0. Let d = -8355 + 8373. What is the remainder when d is divided by g?
0
Let d = 35122 + -30732. What is the remainder when d is divided by 26?
22
Let h(u) = -u**3 - 2*u**2 - u + 6. Calculate the remainder when (-10)/(-85) + (-17081)/(-323) is divided by h(-3).
17
Let b(j) = -7*j**2 + 8*j - 4. Let k(a) = -9*a**2 + 10*a - 4. Let z(d) = -4*b(d) + 3*k(d). What is the remainder when z(6) is divided by 18?
10
Suppose 0 = 32831*x - 32826*x - 70. What is the remainder when 1/(-2) - 109/(-2) is divided by x?
12
Suppose 206*u - 204*u + 34 = 4*i, 0 = 3*i + 5*u - 19. Calculate the remainder when 14486 is divided by i.
6
Suppose 14267 = 35*o + 267. What is the remainder when o is divided by 200?
0
Let h(f) = f**2 + 2*f - 12. Let u be (-102)/(-4) + (-12)/(-24). Suppose 5*l + u = -4. What is the remainder when 59 is divided by h(l)?
11
Suppose -16*k - 15 = -21*k. Suppose -17*t - o + 36 = -15*t, 0 = -k*t + 2*o + 61. What is the remainder when t is divided by 3?
1
Let m(h) = -3*h**3 + 4*h**2 + 13*h + 8. Calculate the remainder when m(-5) is divided by 411.
7
Let c = 1705 + -974. Calculate the remainder when c is divided by 105.
101
Suppose -42*k + 50110 + 27820 = -62056. What is the remainder when k is divided by 29?
27
Let c be (-26 + 6)/(-5) + (123 - -2). Let r = 150 - c. Calculate the remainder when 186 is divided by r.
18
Let l(i) = -12*i - 70. Let s be l(-6). Suppose -5*r = -6*r - s*z + 15, 2*r = 5*z + 75. Calculate the remainder when 72 is divided by r.
22
Let k be (1 + (-2)/4)*4. Suppose 37*v - 228 = -20*v. Suppose k*h + 5*m - 121 = 0, v*h + m - 3*m = 230. What is the remainder when h is divided by 17?
7
Let j = -962 - -1001. Calculate the remainder when 648 is divided by j.
24
Suppose 23*b - 26*b + 5374 = 5*u, 6 = 2*b. Calculate the remainder when u is divided by 33.
17
Calculate the remainder when -5 + -5 + 152 + -4 is divided by 32.
10
Let s(t) = -51*t - 70. Let a(c) = 2*c**3 - 17*c**2 - 8*c - 11. Let o be a(9). Suppose 2 - 65 = -u. What is the remainder when u is divided by s(o)?
31
What is the remainder when ((-26)/(24 - 50))/(0 - 2/(-172)) is divided by 20?
6
Let j = 328 - 316. Suppose -2 = -11*y + j*y - 5*n, -y = -n - 6. Calculate the remainder when 44 is divided by y.
4
Suppose -156*f = -2968 - 932. Calculate the remainder when 1786 is divided by f.
11
What is the remainder when 14881 is divided by 12*(-16)/(-14) - (-556)/1946?
13
Let y(u) = -u**3 + 14*u**2 - 14*u + 16. Let q be y(13). Suppose d - 3 = -3*m + q, -8 = -4*m + 3*d. What is the remainder when 42 is divided by m?
0
Let i(h) = -3*h + 115. Let l be i(0). Suppose -62 = -2*n - y + 2*y, 3*n + 4*y - l = 0. What is the remainder when n is divided by ((-24)/10)/(1064/(-70) - -15)?
9
Suppose -46*h - 2080 = -13120. What is the remainder when h is divided by 27?
24
Suppose 4*u = 2*h - 114, 9843*h - 9838*h = -4*u + 173. Let a be 1919/4 - (-2)/8. Let v = -236 + a. What is the remainder when v is divided by h?
39
Suppose -7*j = -2*j - 2*n - 144, -4*j - 3*n = -106. What is the remainder when 106 is divided by j?
22
Let p(y) = y**2 - 15*y - 279. Let c(q) be the first derivative of q**2/2 + 32*q + 7. Calculate the remainder when c(0) is divided by p(26).
4
Suppose 5*g - 3*r = 599, 0 = -4*g - 18*r + 17*r + 486. What is the remainder when 2902 is divided by g?
119
Suppose -3975 = 64*k - 11847. What is the remainder when 412 is divided by k?
43
Let o(d) = 11*d - 36. Let u be o(6). Suppose -5*a - 15 = -2*s, 0 = -5*s - 2*a + 51 + u. Calculate the remainder when 28 is divided by s.
13
Suppose 3*u - 471 = -6009. Calculate the remainder when (u/(-39))/((-2)/(-3)) is divided by 11.
5
Calculate the remainder when 101 is divided by 58*12/8*7/7.
14
Let s(z) = 8*z - 12. Let f be s(12). What is the remainder when 120 is divided by 0 + 3 + (-9)/((-27)/f)?
27
Let t = -279 + 532. Suppose t = 9*d + 14*d. Let k = 4 + -1. What is the remainder when d is divided by k?
2
Suppose 0 = 5*l + 193 + 152. Let a = l - -104. Calculate the remainder when (-1592)/(-10) + (-7)/a is divided by 32.
31
Let w(c) = 4*c**2 + 113*c + 96. What is the remainder when 1393 is divided by w(-28)?
33
Suppose -185*m = -183*m + 10. What is the remainder when (-2)/(-4) - (-242)/4 is divided by (-8 - -6) + ((-125)/m - 2)?
19
Suppose 0 = 5*a + 5*w + 815, -8*w + 5*w = -5*a - 775. Let v = a - -185. What is the remainder when 134 is divided by v?
26
Let q = -67 + 75. Suppose 0 = 3*f - q*f. Let k(a) = -2*a**2 + 2*a + 39. Calculate the remainder when 232 is divided by k(f).
37
Let l(u) = 8*u - 104. Let c be l(13). Suppose 22*t - 253 - 143 = c. What is the remainder when 143 is divided by t?
17
Suppose 0 = h + 4*u - 34, 78 = 2*h - 0*h - 2*u. Suppose j + h + 35 = l, -88 = j + 4*l. Let d = -13 - j. Calculate the remainder when d is divided by 16.
15
Suppose -5*v + 1252 = -2*w + 5856, -2*w - 5*v = -4544. What is the remainder when w is divided by 44?
43
Let b = -35 - -115. Suppose 6*h - 28 = -2*u + 2*h, 0 = 5*u + 5*h - b. Suppose 0 = 2*x - 18 - 88. Calculate the remainder when x is divided by u.
17
Suppose 0*y + 112 = -7*y. Let d be ((-705)/(-60))/((-2)/y). Suppose 9*c = 7*c + d. What is the remainder when c is divided by 27?
20
What is the remainder when 84 is divided by 6432/(-64)*(-4)/6?
17
Let o = 18 - 16. Let r(n) = 30 + 6*n + n - 7*n - o*n. Calculate the remainder when 47 is divided by r(10).
7
Let q = 14 - -7. Calculate the remainder when 943 + -864 - (-2 - 0) is divided by q.
18
Let q(h) = 24*h**2 + 627*h + 3805. Calculate the remainder when 913 is divided by q(-6).
6
Suppose -22*t - 10*t = -448. Let a = -211 + 320. Calculate the remainder when a is divided by t.
11
Suppose 1168 - 1725 = 9*v - 6407. Calculate the remainder when v is divided by 352.
298
Let c = -104 - -123. Suppose -c*l + 70 = -17*l. Calculate the remainder when l is divided by 10.
5
Let t(g) = g**2 + 7*g - 32. Let r be t(14). Suppose 6*x - 61 - 17 = 0. Calculate the remainder when r/11 + (-6)/(-33) is divided by x.
11
Let a(j) = -j**2 - 25*j - 34. Let o be a(-10). Let y = o - 65. Calculate the remainder when y is divided by 20.
11
Suppose -2094*n - 88 = -2096*n. What is the remainder when 165 is divided by n?
33
Let c = -312 - -312. Calculate the remainder when 261 is divided by 81 - -11 - (c - -4).
85
Calculate the remainder when 177 is divided by ((4 - 5)/3)/((-35)/5145).
30
Suppose 8*p = 19*p + 1606. Let l = p + 158. What is the remainder when 32 is divided by l?
8
Let b = -610 + 673. Calculate the remainder when b is divided by 356/12 + (-8)/12.
5
Let w = 26860 - 26857. Let z = -54 + 104. Calculate the remainder when z is divided by w.
2
Suppose -20*q + 8*q = -4836. Suppose -10*s + 177 = -q. Calculate the remainder when 341 is divided by s.
51
Suppose 33*c - 2820 = -45*c + 22608. Calculate the remainder when c is divided by -1 + 2 - (1 - 21).
11
Suppose 41*z + 828 - 1691 = 12298. Let t(w) = -w**3 + 14*w**2 - 14*w + 25. What is the remainder when z is divided by t(13)?
9
Let k = 164 + -109. Let l = -1443 - -2248. Suppose 73*p - l = 68*p. Calculate