t a = 8 + u. What is the remainder when f(-5) is divided by a?
7
Suppose -r + 61 - 229 = -3*n, -2*n + 5*r = -99. What is the remainder when 214 is divided by n?
43
Let v(o) = -o**3 - 5*o**2 - 9*o - 31. What is the remainder when 1552 is divided by v(-5)?
12
Let l be 3437/63 + (-8)/(-18). Let j = l + -10. What is the remainder when j is divided by 23?
22
Let l be (15/(-18))/(-3 - 51/(-18)). Suppose m = -5*h - 4, l*m - 6*m - 3*h = 0. Suppose -32 - 58 = -m*j. What is the remainder when j is divided by 4?
3
Suppose -124*k = -92*k - 105530 - 1030. What is the remainder when k is divided by 7?
5
Let d(p) = -4*p**2 + 90*p + 36. Let m(x) = -19*x + 59. Let u be m(2). Calculate the remainder when d(u) is divided by 19.
10
What is the remainder when 3813 is divided by 4488/648 - 6/(-81)?
5
Let c be (-644)/(-8) - (-3)/(-6). Suppose -c = -3*j - 20. What is the remainder when j is divided by 4?
0
Let u(x) = x**2 + 4*x + 1. Let o(s) = -9*s - 56. Let j be o(-16). Suppose -10 = -14*p + j. What is the remainder when u(p) is divided by 27?
24
Let s(y) = 1208*y - 1022. What is the remainder when 220 is divided by s(1)?
34
Suppose 53 - 60 = -g - s, 2*g + s = 17. What is the remainder when 6618 is divided by g?
8
Let s(g) = -9*g**3 - 34*g**2 + 26*g + 58. Calculate the remainder when s(-12) is divided by 17.
15
Suppose 7*u - 60 = 2*u. Let l(c) = -22*c - 8. Suppose -66 = 11*x + 11*x. Calculate the remainder when l(x) is divided by u.
10
Let u(i) = 8*i + 120. Let w be u(0). Suppose -19*x + 25*x = w. Calculate the remainder when (-6116)/(-77) + 6/(-14) is divided by x.
19
Let i(v) = -v**2 - 38*v - 94. Suppose 46*w - 232 = 54*w. What is the remainder when i(w) is divided by 42?
41
Let g = -23 - -27. Suppose 127 + g = 5*k - 3*j, -4*j - 108 = -4*k. Let w = 2 - -11. Calculate the remainder when k is divided by w.
12
Let o(r) = r**2 + r - 20. What is the remainder when 233 is divided by o(-10)?
23
Let d(k) = 2*k**3 - 57*k**2 - 31*k + 67. Let r = -112 + 125. Calculate the remainder when r is divided by d(29).
4
Calculate the remainder when 3536 is divided by (-134)/(-8) - ((-315)/(-36))/(-7) - 3.
11
Let b = 992 - 880. Suppose 2*z = o + 31 - b, -z = 4*o - 351. What is the remainder when o is divided by 23?
18
Let k be (-2)/(-8)*0*(-2)/(-4). Suppose k = 4*i - 63 - 33. Let t(z) = 6*z + 7. What is the remainder when i is divided by t(0)?
3
Suppose 3*t = -9, h = 4*h - 5*t - 252. Let d = -52 + h. Calculate the remainder when 50 is divided by -13*((-4)/3 + 9/d).
11
Suppose 0 = 1776*k - 1894*k + 472. Suppose j = 6 - 1. Calculate the remainder when j is divided by k.
1
Suppose -t - 9839 + 10711 = 0. What is the remainder when 1746 is divided by t?
2
Let l = 33 + -33. What is the remainder when (2 - 0)*((-153)/(-6) - l) is divided by 13 + 0 + 0/1?
12
Let s(d) = 8*d + 106. Suppose 5*m + 2*r = 319, -2*m + m - 5*r + 50 = 0. Calculate the remainder when m is divided by s(-11).
11
Suppose 0 = -13*u + 16*u + 24. Calculate the remainder when 80 is divided by ((-22)/u)/(3/192*8).
14
Let i(t) be the second derivative of -t**3/3 - 11*t**2/2 + 13*t. Let d be i(-7). Suppose -a = -7 - d. What is the remainder when 39 is divided by a?
9
Suppose 7*k = 46*k - 22*k - 374. What is the remainder when 12406 is divided by k?
20
Suppose 0 - 26 = -m. Let c(p) = -16*p - 54. Let x be c(-4). Suppose -161 + 251 = x*l. Calculate the remainder when m is divided by l.
8
Let a(p) = p**3 - 10*p**2 + 221*p + 2 - 200*p + 2. What is the remainder when a(8) is divided by 13?
5
Suppose 0 = -6036*s + 6046*s - 150. What is the remainder when 1252 is divided by s?
7
Let u = 52 - -53. Suppose 5*f + 5 = u. Suppose -4*v + 2*l + 110 = 0, -v + f = -0*l + 2*l. What is the remainder when 48 is divided by v?
22
Suppose -18 = 23*t - 29*t. Suppose -t*h = -5*c + 1 + 21, 2*c = -h. Let r = 12 + h. What is the remainder when 31 is divided by r?
7
Suppose -86*y + 1862 + 2524 = 0. Suppose 5*p - 3*p - 400 = 0. Calculate the remainder when p is divided by y.
47
Let g = 3168 + 325. What is the remainder when g is divided by 152?
149
Suppose 298*s + 384 = 310*s. What is the remainder when 2141 is divided by s?
29
Calculate the remainder when 452 is divided by ((-4168)/288 - (-2)/9)/((-15)/80).
72
Let w(f) = 288*f**3 - f**2 - f + 2. Let k be w(1). Let i = -278 + k. What is the remainder when i is divided by 6?
4
What is the remainder when (2*12/24)/(1/(-3)) - -365 is divided by 8?
2
Suppose 60*m + 12 = 62*m. Suppose 0 = m*b + 19 + 23. Calculate the remainder when 4 is divided by -1 - (b + (-15)/(-5)).
1
Suppose 33 = r - 12. Let l = 104 - r. Suppose 5*t - 107 = -32. What is the remainder when l is divided by t?
14
Suppose -46*h + 773 = -1481. What is the remainder when h is divided by 17?
15
Suppose 12441 = 1130*w - 1043*w. Calculate the remainder when 346 is divided by w.
60
Let r = 91489 - 91481. What is the remainder when 92/3 - 4/6 is divided by r?
6
Suppose 51*u = -7575 - 4999 + 4414. Suppose -213 = -a + 4*a. Let p = a - u. What is the remainder when p is divided by 18?
17
Suppose 3*m - 5*r = -8*r + 1614, 0 = -2*m + 2*r + 1104. What is the remainder when m is divided by 316?
229
Suppose -3*g + 6*w = 10*w - 496, 4*g - 636 = w. What is the remainder when 9757 is divided by g?
157
Let y(x) = -x**3 + 17*x**2 - 30*x + 11. Let r(o) = -1 - 4*o + 2*o**3 + 4*o**3 + 6*o. What is the remainder when y(15) is divided by r(1)?
4
Let x = 23613 + -17675. Calculate the remainder when x is divided by 135.
133
Suppose -5*z - 2*q - 2*q - 145 = 0, 0 = 4*q. Suppose -3*w = 0, 3*f - 5*w = -2*f - 5. What is the remainder when f/2 - z/2 is divided by 6?
2
Suppose -8 = -20*n + 16*n. Suppose 4*c + 2*x = c + 221, -4*x = -n*c + 158. Calculate the remainder when c is divided by 20.
15
Suppose -3*p + 84 = -0*p. Suppose 33 = a - p. Suppose 4*m + 59 + a = 3*l, -2*l - 3*m + 63 = 0. What is the remainder when l is divided by 19?
17
Let w(t) = 22 + 5*t**2 + 10*t**3 + 31*t - 9*t**3 - 2*t**2 - 32*t**2. What is the remainder when w(28) is divided by 12?
10
Let q(o) = 2*o - 12. Let r be q(-9). Let y be 79/2 - 6/36*3. Calculate the remainder when 17 is divided by y/4 - r/(-40).
8
Let x = 44 + -43. What is the remainder when 243*(1/(-9))/(x/(-3)) is divided by 22?
15
Suppose -c + 21 = -x, 0*x - 5*x = 3*c - 15. What is the remainder when 675 is divided by c?
0
Let q = -121 + 156. Let r(x) = 32 - 4*x + 25 - q. What is the remainder when r(-2) is divided by 9?
3
Let v be 4/8*-2*-160. Suppose -4*u = -4*w + v, u - 120 = -2*w - w. Suppose 64 = 14*y - 62. Calculate the remainder when w is divided by y.
4
Let q = 639 + -636. Suppose q*y - 87 = -s - 10, -s = -5. What is the remainder when 33 is divided by y?
9
Let l(o) be the third derivative of o**5/12 + 5*o**4/6 - o**3/2 - o**2 - 40. Calculate the remainder when 59 is divided by l(-5).
15
Suppose -23*z - 4093 + 1145 = -45*z. Calculate the remainder when 441 is divided by z.
39
Suppose 0 = -15*u + 42 + 123. Let g(b) = -b**3 + 12*b**2 - 6*b - 22. Calculate the remainder when -2*((-501)/6 - -2) is divided by g(u).
31
Let z(g) be the third derivative of g**6/120 - g**5/30 - g**4/12 - g**3 - 15*g**2. Calculate the remainder when 70 is divided by z(4).
16
Let b(c) = -11215*c + 22455. Let r be (-10)/(-6) + 2/(-3). What is the remainder when r - -49 - (-1 + 2) is divided by b(2)?
24
Suppose 13 = 5*w - 52. Let g(y) = y**3 + 7*y**2. Let n be g(-7). Calculate the remainder when w is divided by (-7 - n)/((-6)/6).
6
Let m(t) = -870*t - 3383. What is the remainder when m(-4) is divided by 25?
22
Suppose -5*d + 4 = 19. Let c(p) = -14*p. Calculate the remainder when c(-2) is divided by 8/(1 - (d - -3)).
4
Let j = 91 + -109. Let q(h) be the second derivative of -7*h**3/6 - 29*h**2/2 + 22*h. Calculate the remainder when q(j) is divided by 25.
22
Suppose 0 = 210*l - 194*l - 458 - 486. Calculate the remainder when 98 is divided by l.
39
Suppose -5*k + 4*f + 516 + 653 = 0, 3*f + 225 = k. Calculate the remainder when k is divided by (-4)/18 - (-1360)/45.
27
Suppose 5*y + i - 304 - 231 = 0, 3*y = 3*i + 303. Suppose 120*z + 85 - 1765 = 0. Calculate the remainder when (-8)/2*y/(-8) is divided by z.
11
Let q(r) = r**2 - 6*r + 7. Suppose -4*k - 43 = -3*y, k = 4*y - 2*y - 22. Calculate the remainder when 165 is divided by q(y).
29
Let k(s) = -617*s**3 + 3*s**2 +