ulate the remainder when c(z) is divided by 24.
21
Let j = -13777 + 13943. Calculate the remainder when 1324 is divided by j.
162
Let g be (-29)/145 + 2/10. Suppose g = -4*c + 166 - 18. Suppose -4 - 4 = -b. Calculate the remainder when c is divided by b.
5
Suppose 0 = 3*f + 15, -2*n + 5*f + 15 = -44. Suppose 0 = 5*g + 7 - n. Calculate the remainder when 73 is divided by (-1)/(g*(-3)/114).
16
Let a(x) = x**3 + 4*x**2 + x - 6. Let d be a(-3). Suppose d = -5*f - 2*w + 34, 3*w = 2*f - 7*f + 31. What is the remainder when 286 is divided by f?
6
Let r(f) = 7*f**2 - 102*f + 121. What is the remainder when 502 is divided by r(15)?
4
Let f be (-1298)/(-154) + 8/14. Let h = f - -7. Calculate the remainder when 126 is divided by h.
14
What is the remainder when 4554 is divided by (9 + (-3128)/60)*-1 + (-6)/45?
39
Let y(b) = 51*b**3 + 19*b**2 - 23*b - 6. What is the remainder when y(5) is divided by 17?
14
Let h(n) = 10*n**2 + 13*n - 28. Let b be h(-7). Suppose -b*a + 376*a - 710 = 0. Suppose t - 2*t = -18. What is the remainder when a is divided by t?
16
Suppose -d + 5*z = -2, -4*d + d + 5*z - 4 = 0. Let i be (-18)/(-8) + (d - (-22)/8). Suppose s - i = 1. What is the remainder when 10 is divided by s?
1
Suppose -98*v + 101*v + 1146 = 4*x, x - 4*v - 280 = 0. Calculate the remainder when 589 is divided by x.
13
Let i = -404 + 687. Let l = i + -251. Calculate the remainder when l is divided by 24.
8
Let h(t) be the third derivative of -19*t**4/6 + t**3 + 1198*t**2. Let u = -9 + 5. Calculate the remainder when h(u) is divided by 39.
37
Let l(r) = -15*r. Let y(z) = -46*z - 36. Let c be y(-1). Let k(i) = -i**3 + 9*i**2 + 13*i - 24. Calculate the remainder when l(-1) is divided by k(c).
3
Suppose 11*s - 6*s = 9*s. Suppose s*h - 7*h = -1148. What is the remainder when h is divided by 11?
10
Let x(n) = 36*n - 675. Let q be x(19). Suppose -3*z - 5*j + 139 = -q*j, z - 53 = 3*j. Suppose 2*o - 17 + 5 = 0. Calculate the remainder when z is divided by o.
5
Let b(p) = 237*p - 218. Suppose -5*m + 7*m + 3*h - 131 = 0, -187 = -3*m + 5*h. Calculate the remainder when m is divided by b(1).
7
Suppose -2*a - 2*a + 3*h + 485 = 0, 4*a - h = 479. Let c = a - 114. Calculate the remainder when c is divided by 2.
1
Let c = -1956 - -2051. Let q = 9 - 11. Calculate the remainder when c is divided by (-3 - q)*(-1 + -6).
4
Suppose 5*u + 2*n - 14 = 0, 2*u - 7*u + 3*n + 4 = 0. What is the remainder when -94*u*2/(-8) is divided by 7?
5
Let m = -3876 - -3921. Calculate the remainder when 1530 is divided by m.
0
Let w = 18 + -1. What is the remainder when w is divided by 10/(-15) + (5/(-40) - (-566)/48)?
6
Let w(v) = 13*v + 95. Let d be w(-7). Suppose -3*c + 5*l - d*l = -61, 0 = -5*c + l + 105. What is the remainder when 195 is divided by c?
19
Let g be 5 - ((-9)/3 + 4). Calculate the remainder when (12/(-42)*2)/(g/(-182)) is divided by 15.
11
Suppose 9*t = 5*t + 24. Let q(f) = 8*f - 46. Let k be q(t). What is the remainder when 0 - k - (-4 + -10)*1 is divided by 8?
4
Let u(f) = -f**2 + 17*f - 32. What is the remainder when u(6) is divided by 12?
10
Let n = -24 - -36. Let m = -320 + 484. Let h = m - 131. What is the remainder when h is divided by n?
9
Suppose 6549 + 1051 = 737*v - 699*v. Calculate the remainder when 411 is divided by v.
11
Let b = -774 + 824. Let k = -36 - -53. Calculate the remainder when 12 is divided by 0 + k/5 + (-20)/b.
0
Let k = 53 - 21. Suppose -4*t + k = -4*f, -2*t - 3*t = 2*f - 75. Let g(d) = -d**2 + 26*d + 153. Calculate the remainder when g(30) is divided by t.
7
Let d = -11778 + 13481. What is the remainder when d is divided by 113?
8
Let q(m) be the third derivative of -m**4/2 - 17*m**3/2 - 2*m**2 + 2. What is the remainder when 120 is divided by q(-6)?
15
Suppose 0 = s + 280 - 242. Calculate the remainder when 28 is divided by (-10)/2 - 760/s.
13
Suppose s = 3*s + 290. Let f = s - -161. What is the remainder when 44 is divided by f?
12
Let p be 35/(-140) + 18/8. Let s(b) = b**3 + b**2 - b - 2. Calculate the remainder when 59 is divided by s(p).
3
Let z(m) be the second derivative of m**4/12 + m**3/2 + 35*m**2/2 + 4*m + 4. Calculate the remainder when z(-8) is divided by 11.
9
Suppose 24*k + 71 = 25*k - 4*c, 0 = -4*k + 2*c + 228. Calculate the remainder when 817 is divided by k.
47
Let r = 104 - 103. Let c be r + ((-464)/(-4))/2. Calculate the remainder when 273 is divided by -1*(-3)/(-3) - (3 - c).
53
Let g = -604 - -651. Suppose -2856 = -g*x + 40*x. What is the remainder when x is divided by 41?
39
Let r(l) = l**2 - l - 15. Let u be r(4). What is the remainder when 160 is divided by (36/(-20))/(u/35)?
13
Suppose 2*i = -2*f - 2, -37*f = -41*f + 5*i + 113. Let b be (-2)/3*30/(-4). Suppose b*v - v = 176. What is the remainder when v is divided by f?
8
Let a = -13 + 18. Suppose a*v - 20 - 5 = 0. Suppose v*y + 25 - 235 = 0. Calculate the remainder when y is divided by 22.
20
Let j = 36 + -33. Suppose -3*i + j + 51 = 0. Suppose -q + 2*q = 2*v - 94, -229 = -5*v + 4*q. Calculate the remainder when v is divided by i.
13
Suppose 0 = 2*w - 4*j - 68, -5*w + 5*j + 143 + 12 = 0. Let g = -52 + w. Calculate the remainder when 11 is divided by g/(-48) + 1/2*13.
4
Suppose -75*i + 23*i + 1404 = 0. Calculate the remainder when 415 is divided by i.
10
Let i(x) = -5*x**2 - 929*x - 1590. Calculate the remainder when 490 is divided by i(-184).
28
What is the remainder when 394 is divided by (392 - 394)/(4/162*-3)?
16
Let z(v) = 6*v**2 + 861*v - 2 - 863*v - 2*v**2. Let p = -6 - -4. What is the remainder when 51 is divided by z(p)?
15
Let n(s) = 2*s - 15. Let f be n(8). What is the remainder when 199 is divided by 5 - 2 - -38*f?
35
Let i be (200/7)/((-35)/(-980)). Suppose i*a + 66 = 803*a. Let o = 5 - -49. Calculate the remainder when o is divided by a.
10
Let x(q) = 11*q - 23. Calculate the remainder when x(7) is divided by (4 - 5)/((-11)/319).
25
Let s = 2639 - 1001. What is the remainder when s is divided by 36?
18
What is the remainder when 3/(-42) - (-675660)/280 is divided by 105?
103
Let b be 1 + ((-221)/(-78) - 2/(-12)). Suppose -b*k = 3*k - 1309. Suppose k = 3*r + 19. What is the remainder when 108 is divided by r?
52
Let n(i) = 12*i - 14. Let k(b) = b**3 + 11*b**2 - 27*b - 10. Let j be k(-13). What is the remainder when (-43)/((-2 - -4)/(-2)) is divided by n(j)?
21
Suppose 5*o = -4*l + 2*l - 143, -3*o = 15. Let s be (-1)/((-1)/l) + (-9)/(-9). Calculate the remainder when 58 is divided by (s/6)/(6/(-18)) - -1.
28
Suppose -3*j - 9 + 24 = 0. Suppose j*o = 4*f - 7*f + 129, -2*f - o = -86. Let x(u) = -2*u**3 + 3*u + 6. Calculate the remainder when f is divided by x(-2).
11
Suppose y - 6*y + 2*y = 0. Suppose -19*z + 22*z = y. Suppose 2*b + 7 - 31 = 2*t, -5*b + t + 48 = z. What is the remainder when 35 is divided by b?
8
Suppose -4*o - 3*g + 1225 = 0, 4*o + 15*g - 1222 = 13*g. Suppose 7*r + o = 23*r. What is the remainder when r is divided by 13?
6
Suppose -12*n + 15*n - 56 = -2*z, -5*z + 77 = -3*n. Calculate the remainder when 2333 is divided by z.
15
Let a(v) = v**3 + 17*v**2 - 21*v - 498. What is the remainder when 459 is divided by a(-16)?
83
Suppose -21*f + 16*f = -10. Suppose 2*r - 5*y = -4 + 35, -3*r - f*y = -75. Calculate the remainder when 44 is divided by r.
21
Let v = -3 - -18. Suppose -17*y = -v*y - 36. What is the remainder when 170 is divided by y?
8
Suppose -4*m - 2*r + 186 = 0, -4*m - 2*r = -3*m - 51. Suppose 415*v - 417*v + 358 = 0. What is the remainder when v is divided by m?
44
Let s(q) = 3*q**3 + 5*q - 47 - 2*q**3 + 10 - 5 - 16*q**2. Calculate the remainder when s(16) is divided by 19 + (-1 - -1 - 2).
4
Let o(q) = 1713*q + 3438. Calculate the remainder when 4651 is divided by o(-2).
7
Let j = 220 - 90. Let n(h) = h**2 + 23*h - 168. What is the remainder when j is divided by n(6)?
4
Calculate the remainder when 3359 is divided by (8/10)/(-4) + (3402/15)/14.
15
Let c be (-5 + 2)*(-48)/9. What is the remainder when (-6)/(3*c/(-3288)) is divided by 7?
5
Suppose 0 = -4*t + 2*x + 242, -2*t - t - 5*x + 201 = 0. Let g = 61282 - 61247. Calculate the remainder when t is divided by g.
27
Suppose -u = 289*g - 284*g - 1090, -3*u = -7*g - 3138. What is the remainder when 3199 is divided by u?
19
Let l(j) = 201*j - 4. Suppose 0 = -3*o - 2 - 1. Let w be l(o). Calculate the