4. What is the remainder when 24 is divided by t?
3
Let g be ((-84)/(-10))/(8/20) + -1. Let v = 1 + g. What is the remainder when 104 is divided by v?
20
Let c(l) = -l**3 - l**2 - 2*l + 2. Let a be c(0). Suppose 3*w = -a*w - n + 155, 4*n = 2*w - 62. Calculate the remainder when 90 is divided by w.
28
Let b be 16/24 - 20/(-6). Suppose 167 + 239 = -5*v - i, b*v + 2*i = -320. Let m = -33 - v. Calculate the remainder when m is divided by 25.
24
Suppose -3*c + 22 = d, -25 = -7*d + 2*d + 2*c. Suppose -16 = -k - k. Calculate the remainder when 31 - k/(-9 + 5) is divided by d.
5
Suppose -4*k + 279 + 93 = 0. What is the remainder when k is divided by 8/(-2)*-1*(0 - -6)?
21
Suppose 4*p - 2*p - 5*y = 72, 5*p + 2*y - 151 = 0. Calculate the remainder when 105 is divided by p.
12
Let u be 3/(-9) + -1*(-14)/6. Calculate the remainder when (-16)/(-1 + -1) + u is divided by 3.
1
Suppose -142 = -31*f + 30*f. Calculate the remainder when f is divided by 48.
46
Suppose 5*p + 57 = -3*t, -2*p + 4*t - 2*t = 10. Let l be 2 + 15 + p + 6. Calculate the remainder when 10 is divided by (2 + -10)*(-7)/l.
2
Let f(q) = 4*q**2 + 5*q - 10. What is the remainder when f(4) is divided by (2/(-6) - (-90)/27) + 16?
17
Let w = 1086 - 918. Calculate the remainder when w is divided by 47.
27
Suppose -50 = 19*l - 29*l. What is the remainder when 35 is divided by l?
0
Suppose 0 = 6*q - 6 - 402. What is the remainder when 166 is divided by (-3)/(2/4 - q/112)?
26
Suppose 3*l - 53 = r + 168, 77 = l - r. Suppose -2*x = -4*b + 50, 4*x + x - 40 = -b. Calculate the remainder when l is divided by b.
12
Let z be 0/(-3 + (-6)/(-3)). Let h be (2 + z)/(2/4). Suppose -4*o + 96 = -4*b, 8 = h*b - 4. What is the remainder when 107 is divided by o?
26
Suppose 2*b - 324 = 5*s + 171, 5*b - 1221 = -4*s. Calculate the remainder when b is divided by 41.
40
Suppose 155 = 4*j - 3*z, -j + z + 205 = 167. Calculate the remainder when j is divided by 11.
8
What is the remainder when 389 is divided by 24/(-54) + (-1065)/(-27)?
38
Calculate the remainder when ((-4)/12)/((-2)/6) + 8 is divided by 2.
1
Calculate the remainder when 82 is divided by (-6)/39 + (-11)/(572/(-1620)).
20
Suppose -102 = -15*k + 12*k. Let g = -10 + 9. Calculate the remainder when k is divided by 14*g/8*-4.
6
Let n(x) = -24*x - 3. Calculate the remainder when 2/(((-28)/(-444))/7) is divided by n(-2).
42
Calculate the remainder when (1 + 4)*((-555)/(-75) + 5) is divided by 13.
10
Let g(j) = -j**3 + 6*j**2 - 4*j - 3. Calculate the remainder when 10 is divided by g(5).
0
Let w = -32 + 59. Let d = -18 + w. What is the remainder when ((-204)/18)/((-6)/d) is divided by 4?
1
Calculate the remainder when ((-352)/24 - -2)*-6 is divided by 10.
6
Let f = 138 - 96. What is the remainder when 124 is divided by f?
40
Suppose -5*x + 2*x = 18. Let h be ((-4)/6)/(x/126). Let n(b) = -b**3 + 14*b**2 + 16. What is the remainder when 26 is divided by n(h)?
10
Let g = -21 + 23. Suppose 0 = g*l - 3*t - 13, -t + 25 = 4*l - 2*l. Calculate the remainder when 53 is divided by l.
9
Calculate the remainder when ((-1884)/(-15))/(-1*(-1)/5) is divided by 18.
16
Suppose -32*t - 149 + 917 = 0. What is the remainder when 65 is divided by t?
17
Let w(h) = h**3 + 19*h**2 + h + 24. Let q be w(-19). Suppose -76 = -q*y - s + 93, -2*s = -3*y + 104. Calculate the remainder when 134 is divided by y.
32
What is the remainder when 24 is divided by (-270)/(-81)*(-3)/(-2)?
4
Suppose -4*b - 258 = -2*n, -5*b + 3*n = -76 + 396. Let g = b - -120. What is the remainder when g is divided by 18?
17
Let v = 132 - 128. Suppose -11*o = -v*o - 42. Calculate the remainder when 40 is divided by o.
4
Let n = -12 + 27. Let v(u) = -u**3 - 7*u**2 - 9*u - 7. Let z be v(-6). Suppose z = i - 18. Calculate the remainder when i is divided by n.
14
Let h = 365 - -3. What is the remainder when h is divided by 47?
39
Let x be (-3)/(-3 + 42/16). Suppose 0 = x*f - 13*f + 80. Calculate the remainder when 93 is divided by f.
13
Suppose 28*b + 75*b = 3296. What is the remainder when 242 is divided by b?
18
Let t(b) = b**3 + 16*b**2 + 14*b + 8. What is the remainder when (-72 + -13)*((-12)/(-10) + -2) is divided by t(-15)?
22
Let w = -1417 - -1445. Calculate the remainder when 1789 is divided by w.
25
Suppose 4*a = -3*p + 140, 5*a + 3*p + p - 176 = 0. Suppose 5*b - a - 65 = -4*r, 0 = 4*r + 3*b - 103. What is the remainder when 164 is divided by r?
24
Let x = -113 - -19. Let c = -86 - x. What is the remainder when 23 is divided by c?
7
Suppose -16*r = -251 + 11. What is the remainder when 102 is divided by r?
12
Let v(p) = p**3 - 2*p**2 - 3*p + 4. Let f be v(3). Suppose -24 = -174*y + 172*y. Calculate the remainder when 70/2 - (-2 + f) is divided by y.
9
Suppose 0*o = o. Suppose 9*h - 5*h - 112 = o. What is the remainder when h is divided by 16?
12
Let r be 4/(-14) + (-562)/(-7). Suppose 3*j + 72 = 3*p + 2*j, 4*j = -2*p + 48. Suppose -r + p = -4*t. Calculate the remainder when t is divided by 3.
2
Let b = 14 - 12. What is the remainder when 5 is divided by (-2 - (-3 - b)) + 0?
2
Suppose 600*r - 610*r = -950. What is the remainder when r is divided by 11?
7
Let i be ((-30)/(-9))/(3/(-18)). Let j = i - -45. Let z = j + -7. What is the remainder when z is divided by 4?
2
Let b(u) = u**3 + 5*u**2 - 6*u + 2. Let a be b(-6). Suppose 0 + 26 = a*o. Calculate the remainder when 50 is divided by o.
11
Let g be 365/4 + (-12)/(-16). Suppose 5*f + g = 3*d, -3*d - 3*f + 5 + 55 = 0. Calculate the remainder when 69 is divided by d.
21
Suppose -23 - 16 = -3*l + y, 4*y - 26 = -2*l. Suppose 2*k = 2*o - 121 + 19, -3*o - 4*k + 139 = 0. What is the remainder when o is divided by l?
10
Let a = 176 + -159. Calculate the remainder when 130 is divided by a.
11
Let g = 295 - 285. Calculate the remainder when g is divided by ((-6)/(-9))/((-2)/(-15)).
0
Let m be (4 - (4 + -2))*32. What is the remainder when (m - 4) + (-4 - -3) is divided by 15?
14
Let n(l) = 2*l. Let b be n(2). Suppose 0 = c - 5*c + 16, b*d = 3*c + 60. What is the remainder when 30 is divided by d?
12
Let o(i) = -i. Let s(w) = -21. Let z(t) = -2*o(t) - s(t). What is the remainder when z(-6) is divided by 6?
3
Let y(s) = 3*s**3 - 2*s + 5*s - s**3 + 4 - 3 - 6*s**2. What is the remainder when y(4) is divided by 12?
9
Suppose 14*k - 3285 = -31*k. What is the remainder when 145 is divided by k?
72
What is the remainder when 39 - ((-2)/(-8) + (-21)/(-12)) is divided by 14?
9
Let f = 43 - 63. Let q = f - -18. What is the remainder when 53 is divided by q/((5/7)/(-5))?
11
Let c(p) = -2 + 9*p + 7 + 1 - p**2 + 4*p. Let f be c(14). What is the remainder when f/(10/(-6) - -1) is divided by 7?
5
Suppose 13*s = 23*s - 380. Calculate the remainder when 146 is divided by s.
32
Let g(s) = s**3 + 49*s**2 + 101*s + 363. Calculate the remainder when g(-47) is divided by 9/(1 + -1 + 1).
7
Let d = -40 - -69. Suppose -y + d = -75. What is the remainder when y is divided by 21?
20
Suppose -5*h + 65 = -5*c, -c + 4*h = -6*c - 83. Let x = c - -17. Suppose -3*v + 131 = 2*f, x*f - 56 = -v - 7. What is the remainder when v is divided by 11?
8
Let h(c) = 167*c - 85. Calculate the remainder when h(3) is divided by 28.
24
Let b = -26 + 29. Let o be b + (-9)/6*-2. Suppose w - o - 29 = 0. Calculate the remainder when 139 is divided by w.
34
Let a be (-4)/(-22) + 502/22. Let g = a + -16. Calculate the remainder when 34 is divided by g.
6
Let q(h) = -3*h**2 - 86*h - 50. Let g(r) = r**2 + 29*r + 17. Let x(w) = -8*g(w) - 3*q(w). Calculate the remainder when 40 is divided by x(-26).
12
Suppose 0 = 8*r - 5*r - 6. Suppose 0 = -r*x + x + s + 42, 0 = 4*s + 20. Let c = -3 - -16. Calculate the remainder when x is divided by c.
11
Let f(r) be the first derivative of 19*r**3/3 - r + 28. What is the remainder when f(-1) is divided by 12?
6
Suppose -h + 14 = 4*c, -h + 1 = -3*c + 4*h. Suppose 2*b = -3*v - 2*v + 57, -c*v + 51 = -3*b. Calculate the remainder when 25 is divided by v.
12
Suppose -3*a - z = -514, 0 = -a - 0*z - 3*z + 182. What is the remainder when a is divided by 92?
78
Let t(r) = 5*r - 25. What is the remainder when 70 is divided by t(9)?
10
What is the remainder when 479 is divided by 1195/20 + 160/128?
52
Let a = -2659 + 2674. What is the remainder when 42 is divided by a?
12
Suppose -o - 147 = -8*o. Suppose 25