e remainder when h(c) is divided by 8.
7
Suppose 5 + 39 = -11*t. Calculate the remainder when 48 is divided by (t/6 + 0)/(4/(-60)).
8
Let c(d) = -d**3 - 5*d**2 - 2*d + 19. Let x(p) = p**3 + 6*p**2 + 2*p - 18. Let s(o) = -2*c(o) - 3*x(o). What is the remainder when s(-8) is divided by 22?
10
Let p(x) = -x**3 - 31*x**2 + 60*x + 1142. What is the remainder when p(-32) is divided by 64?
54
Let n = 732 - -1332. Calculate the remainder when n is divided by 22.
18
What is the remainder when 2048 is divided by 582/5 + (-8)/70*1330/380?
76
Calculate the remainder when 3659*1 + (12/(-39))/(26/(-169)) is divided by 99.
97
Let d = 1009 - 413. Suppose -3*t - 3*k = -5*k - 910, 4*k - d = -2*t. Calculate the remainder when t is divided by 18.
14
Let l = -14341 - -14422. Calculate the remainder when l is divided by 15.
6
Suppose 2*u - 55 + 82 = b, 0 = -3*b - 7*u + 172. What is the remainder when 541 is divided by b?
8
Suppose -3*v + 53 + 348 = -4*t, 3*t - 543 = -4*v. Calculate the remainder when 257 is divided by v.
122
Suppose 60*b - 54*b - 48 = 0. Suppose 67 = 11*j - b*j + 4*m, -5*m - 79 = -4*j. What is the remainder when j is divided by 15?
6
Let f(q) be the second derivative of -q**5/20 - 3*q**4/4 + 11*q**2/2 + q. Suppose 56*c = 89*c + 297. What is the remainder when 20 is divided by f(c)?
9
Let k = 30 + -17. Suppose 10*m - k = 5*m + 2*n, -4*m + n = -11. What is the remainder when 35 is divided by 20/2 + (m - 1)?
11
Suppose -3*g - g = -12*g + 136. What is the remainder when 221 is divided by g?
0
Let g = -19946 - -19997. Calculate the remainder when 8157 is divided by g.
48
Suppose 0*x + 20 = 4*x. Let t = 48 - 19. What is the remainder when t is divided by x?
4
Let q be (-110)/(-20) - (-6)/(-4). Suppose 0 = -4*p - 5*w - 311 + 39, -q*w = -5*p - 299. Let x = 74 + p. Calculate the remainder when 28 is divided by x.
6
Let l(m) be the third derivative of 5*m**4/12 - m**3/2 - m**2 + 86. What is the remainder when l(3) is divided by 22?
5
Let x(a) = -10*a - 848 + 3*a + 1120. Calculate the remainder when 167 is divided by x(27).
1
Let s(q) = q**2 - 39*q + 332. Calculate the remainder when 107 is divided by s(10).
23
Let s be 3*2*(0 + 6). Suppose 13*k - 7*k - s = 0. Suppose -2*c + k*c - m = 52, 4*c = 5*m + 68. Calculate the remainder when 43 is divided by c.
7
Let b(y) = 215*y**2 - y + 1. Suppose o - 23 = -5*n, 429*n - 2*o - 31 = 428*n. What is the remainder when b(1) is divided by n?
5
Let a be (0 + -3)*4/(-6). Calculate the remainder when (232 + 1 - -9)/(a/2) is divided by 62.
56
Calculate the remainder when 44/77 - 468/(-14) is divided by 97 + -87 + 1*(1 + -2).
7
Suppose -a = -3*y + 3*a - 6, 3*y + 6 = -3*a. Let f = 48 - -14. What is the remainder when f is divided by 6 + 11 + (-3 - y)?
14
Let s = 154 + -117. Calculate the remainder when 37 is divided by 2/(-7)*(-1036)/s.
5
Let d(v) = -v**3 - 16*v**2 - 32*v - 19. Suppose 0 = -13*x + 17*x - 28. What is the remainder when d(-15) is divided by x?
5
Suppose i + i - 88 = 0. Let t(a) = 2*a**3 + 138*a**2 + 10. Calculate the remainder when i is divided by t(-69).
4
What is the remainder when 1150*((-76)/1634 + 94/172) is divided by 49?
36
Suppose -2*o - 42 = 3*q - 5*o, 6 = -q + 3*o. Let a be ((-13)/((-39)/q))/(1 + -3). Calculate the remainder when a - (-50 - (-8 - -3)) is divided by 10.
8
Let i = 9136 - 9122. Calculate the remainder when 55 is divided by i.
13
Let v = 322 + -314. What is the remainder when (-3)/v + 22890/112 is divided by 41?
40
Let u(a) = -2*a + 3. Let j be u(-6). Suppose -420*q + 429*q - 27 = 0. Suppose -f + i = -2, 8*i - j = q*i. What is the remainder when 9 is divided by f?
4
Suppose 20 = -5*q, -33*p + 37*p - 4*q - 17480 = 0. What is the remainder when p is divided by 156?
154
Let q(m) = 20*m + 1329. What is the remainder when 1619 is divided by q(-66)?
8
Let y = 10563 + -9876. Calculate the remainder when y is divided by 182.
141
Let j = -112 + -3. Let b = j - -124. Calculate the remainder when 233 is divided by b.
8
Let r(f) = 10*f - 6. Let u(n) = 4*n + 7. Calculate the remainder when u(16) is divided by r(1).
3
Let h(d) = 37*d**2 - 34*d - 322. Calculate the remainder when h(12) is divided by 21.
20
Let v(l) = -46*l + 59. What is the remainder when ((-1)/((-3)/(-105)))/(2/(-10)) is divided by v(0)?
57
Let u = -310 - -338. Suppose 5*b = -2*b + u. Calculate the remainder when 30 is divided by b.
2
Calculate the remainder when (-4)/(-10)*(3010 + 220) is divided by 14.
4
Suppose 4*b = -g + 210, 3*g - 47 = -b - 0. What is the remainder when 17/((-153)/27) - -318 is divided by b?
50
Suppose -44 = -3*n - 4*f, -5*n + 2*f + 78 = 4*f. Let r = 403 - 329. Calculate the remainder when r is divided by n.
10
Let i(o) = o**3 + 35*o**2 + 32*o - 59. Let w be i(-34). Suppose -5*q + w*q - 324 = 0. Calculate the remainder when q is divided by 42.
39
Suppose 542*l + 19 = 3*q + 540*l, 0 = -q + 5*l + 28. What is the remainder when 30 is divided by q?
0
Suppose 3*l = 2*m - 184, 3*m + 3*l - 261 = -0*m. Calculate the remainder when 1292 is divided by m.
46
Let r(u) = u**3 - 8*u**2 - 3*u - 11. Suppose 4*y + 13 = -7, 0 = -5*b + y + 45. Let n be r(b). Let z = 40 + n. Calculate the remainder when 24 is divided by z.
4
Let p = -9228 + 9428. Calculate the remainder when p is divided by 1/2*402/3.
66
Suppose -33*w - 26300 = -53*w. What is the remainder when w is divided by 60?
55
Calculate the remainder when 3/(216/325160) + (-2)/18 is divided by 33.
28
Let b(t) = t**2 + 13*t. Let i be b(-10). Let k(s) = s + 43. What is the remainder when 193 is divided by k(i)?
11
Let g(i) = -17*i**3 - 6*i**2 + 44*i + 183. What is the remainder when 2041 is divided by g(-4)?
43
Suppose 25*f + 1822 - 4622 = 0. Calculate the remainder when 426 is divided by f.
90
Let k = 7514 - 6069. What is the remainder when k is divided by 35?
10
Let o(j) = -427*j**2 + 2 - 3*j**3 + 425*j**2 - j + 4*j**3. Let g be o(2). Suppose 7*p - 4*p - 105 = g. What is the remainder when p is divided by 11?
2
Let l = 4291 - 4220. What is the remainder when l is divided by (-1)/((-4)/(-3))*-24?
17
Suppose -97 = -2*m + 23. Suppose 2*u - m = -3*u. What is the remainder when u is divided by (-26)/(-5) - ((-649)/55 + 12)?
2
Let u = 200 + -188. Suppose u*t + 19*t = 248. What is the remainder when 22 is divided by t?
6
Let i(v) = v**3 - 9*v**2 + 10*v - 4. Let u = -2 + 36. What is the remainder when u is divided by i(8)?
10
Suppose 0 = 34*h - 47765 - 59267. What is the remainder when h is divided by 14?
12
Let t = 4700 + -3113. What is the remainder when t is divided by 6?
3
Calculate the remainder when 1822/10 - (-8)/(-15)*468/(-312) is divided by 11.
7
Suppose 11*u - 5*u = 12. Suppose 4*z - 282 = -u*z. Suppose -4*t + 36 = -t. Calculate the remainder when z is divided by t.
11
Suppose -419 - 38 = -12*o + 1187. Calculate the remainder when o is divided by 33.
5
Suppose -5*g = -4*s - 188, -289*s - 74 = -2*g - 288*s. Calculate the remainder when 1453 is divided by g.
13
Calculate the remainder when 1698 is divided by 44 - 19/(114/(-12)).
42
Let r be 11 + 21/(1 - 4). Calculate the remainder when 41 is divided by r/(-20)*-25 - -6.
8
Let a(w) = 38*w**2 + 3 - 31*w**2 + w**3 - 16*w - 14*w**2. What is the remainder when 162 is divided by a(9)?
15
Let u be (-2 - -23) + 0 + 1. Let s = -9 + u. Suppose -253 = -3*w - 5*p + 6, -4*p = -2*w + 180. What is the remainder when w is divided by s?
10
Let p(c) = 5*c**2 - 7*c - 16. Let y be p(-6). Let n = -189 + y. What is the remainder when 81 is divided by n?
13
Suppose -4*n - 3*u = -98, -4*u = -3*n - n + 56. Calculate the remainder when 317 is divided by n.
17
Let k = -41 + 50. Suppose k*c + 13 - 31 = 0. Suppose -c*z + 288 = 4*z. What is the remainder when 93 is divided by z?
45
Let y = 26826 + -25378. What is the remainder when y is divided by 75?
23
Suppose 144 = -3*o + 480. Calculate the remainder when o is divided by 5/(380/30*99/204 + -6).
10
Suppose 165 = 10*j - 5*j. Suppose j = 2*l + l. Suppose -f + 0 = -3, -5*d - 4*f + 717 = 0. Calculate the remainder when d is divided by l.
9
Suppose 0 = -20*v + 15*v + 585. Let l = 717 + -671. Calculate the remainder when v is divided by l.
25
Suppose -19066 = -54*a - 47*a + 4164. What is the remainder when a is divided by 45?
5
Suppose -104*g = -925 - 4795. Suppose 59*c = g*c + 4*a + 16, 28 = 4*c + 2*a. Le