 the remainder when f(6) is divided by 108.
17
Let h = 864838 + -864816. Let b = 183 - 103. What is the remainder when b is divided by h?
14
Let u(d) = d**3 - 10*d**2 + d - 102. What is the remainder when 109 is divided by u(11)?
19
Suppose -61*t + 71*t - 50 = 0. Let b(d) = 37*d**2 + d. What is the remainder when b(1) is divided by 2/5 + (615/25 - t)?
18
Let x = -538 - -580. Let d(f) = -f**3 + 6*f**2 + 8*f - 7. Let i be d(7). Let s = 15 - i. What is the remainder when x is divided by s?
12
Suppose -3*o = -3*k + 582, -448*k = -451*k + o + 580. What is the remainder when k is divided by 117?
76
Suppose 0 = -b - 2, -105*y + 110*y = b + 37. What is the remainder when 139 is divided by y?
6
Suppose -63*v - 2*h = -61*v - 258, 3*h = -2*v + 256. What is the remainder when 648 is divided by v?
124
Suppose -294*l + 363*l = 39123. What is the remainder when l is divided by 188?
3
Let h = -3406 - -4601. Calculate the remainder when h is divided by 3.
1
Suppose -o = 4 - 29. Suppose b - 54 = -5*x, -11 = -b + 2*x + 8. Suppose b*w - 819 = 1994. What is the remainder when w is divided by o?
22
Let x = 14252 + -14226. What is the remainder when 50 is divided by x?
24
Suppose -3*i - 42 = -6*i. Let q = 7 + i. What is the remainder when 165/2 - (2 + -21)/(-38) is divided by q?
19
Suppose 36*o - 950 = 414 - 68. What is the remainder when 1978 is divided by o?
34
Suppose i - 2*x = -i + 286, 4*x - 697 = -5*i. Let r = i - 207. Let v = -54 - r. What is the remainder when 83 is divided by v?
11
Let z(h) = 2*h**3 - h**2 - 8*h - 10. Let g(f) = f**2 + 29*f + 3. Let p be g(-29). What is the remainder when z(4) is divided by (4 + -4 - p) + 39?
34
Let r = 34 - 22. Suppose 5*y - 362 = -r. Suppose 8*c - 276 = 12. What is the remainder when y is divided by c?
34
What is the remainder when (6943 - -22) + (-1)/((-2)/(-12)) is divided by 20?
19
Suppose -249 = w + 227. Let t = -417 - w. Let f(a) = 31*a**2 + a - 1. What is the remainder when t is divided by f(1)?
28
Let u(t) = t**3 + 41*t**2 + 362*t + 36. What is the remainder when 2114 is divided by u(-28)?
90
Let k(u) = u**3 + 8*u**2 - 4*u + 3. Let f = 51 + -51. Suppose f*i + i = -8. Calculate the remainder when 68 is divided by k(i).
33
Let w(g) = -168*g + 5563. Suppose 0 = -2*x + 3*j, -2*j = 5*x - 3*j. Suppose -5*f - 2 + 367 = x. What is the remainder when f is divided by w(33)?
16
Let o(u) = 3*u**3 + 15*u**2 - 5*u - 3. Let z(h) = -4*h**3 - 16*h**2 + 3*h + 3. Let y(c) = 5*o(c) + 4*z(c). Calculate the remainder when y(6) is divided by 10.
9
Let i = 57 - 55. Suppose -2*l - 56 = -i*z, 4*l - 64 = -2*z + 2*l. Suppose 28*v + 100 = z*v. Calculate the remainder when v is divided by 9.
5
Let q(l) = l**2 + 173*l + 3758. What is the remainder when q(-22) is divided by 63?
58
Suppose -769*k + 749*k + 1860 = 0. What is the remainder when 635 is divided by k?
77
Suppose -5*f = -3*u - 54, -78*u = -2*f - 76*u + 20. Calculate the remainder when 586 is divided by f.
10
Suppose -5*d - 3*n + 1665 = 0, -d + n = -0*n - 325. Let w(j) = -63*j**2 - 886*j - 19. Calculate the remainder when d is divided by w(-14).
34
Let s(k) = 7*k**2 - k. Let q(t) = t**2. Let x(b) = -6*q(b) + s(b). Let v be x(2). Suppose -v*z + 13 = -15. What is the remainder when 34 is divided by z?
6
Let j be (-1 - 0) + 3/((-3)/(-13)). What is the remainder when 125 is divided by 759/j - (2 - 22/8)?
61
Suppose -b = 5*v + 7, -b + v + 0*v - 13 = 0. Let f = 117 + b. Let i = -130 + 157. Calculate the remainder when f is divided by i.
24
Let p be 10/(-4)*(-8)/10. Suppose -25 - 61 = -p*t. Let r = -5205 - -5214. Calculate the remainder when t is divided by r.
7
Suppose -2*n + 775 = 33*d - 30*d, -d - 3*n + 263 = 0. What is the remainder when 1795 is divided by d?
253
Let r(t) = -t**2 + 72*t - 42. Let y = -50 - -135. What is the remainder when r(12) is divided by y?
83
Let l(r) = -366*r**3 - r**2 + r + 3. Let y be l(-1). Suppose -32 = -7*v + y. Calculate the remainder when 1025 is divided by v.
56
What is the remainder when 1013 is divided by -1*(-2)/14 + ((-8208)/(-266) - -10)?
29
Suppose -z - 359 = -3*h, -3*h + 0*h + 343 = -5*z. Let v = h + 11. Suppose 84*p = 90*p - v. Calculate the remainder when 28 is divided by p.
6
Suppose 3*u = -u + 12, -4*y + 5*u + 749 = 0. Let v = -76 + y. Suppose 2*w - 46 = 32. What is the remainder when v is divided by w?
37
Suppose -7*d + 2*d = -240. Suppose -18*s = 31*s - 8220 - 698. What is the remainder when s is divided by d?
38
Let t(p) = -73*p**3 + p**2 + 2*p + 1. Let z = -2851 - -2856. What is the remainder when t(-1) is divided by z?
3
Let s be (321/5)/((-6)/(-30)). Suppose -5*y + 4*o = -s, -3*y - 2*o + 192 = -5*o. What is the remainder when y is divided by (-3 - -6)/(-9)*-51?
14
Let k be (-4 - (-100)/15)*(-177)/(-4). Let f(c) = c**3 - 8*c**2 + c - 4. Let v be f(4). Let t = v + k. Calculate the remainder when t is divided by 8.
6
Let c = -3309 - -3728. Calculate the remainder when c is divided by 27.
14
Let u(t) be the second derivative of -t**4/12 - 13*t**3/3 - 9*t**2/2 - 92*t. What is the remainder when 37 is divided by u(-25)?
5
Let w be ((-8 - -9) + 0)*5. What is the remainder when 6*-1*(w + (-552)/16) is divided by 12?
9
Let v(x) = x**2 - 2*x - 3. Suppose 5118*i - 24 - 30 = 5100*i. What is the remainder when v(10) is divided by i?
2
Let p = -4852 - -8907. Calculate the remainder when p is divided by 33.
29
Suppose 5*c = -2*v + 460, 2*c + 4*v - v = 184. Suppose -6*j = -5*j + 2*l - 52, 0 = -3*j + 4*l + 106. What is the remainder when c is divided by j?
8
Suppose 0 = -61*o + 71*o - 720. Suppose 4*z + 6*q - 1727 = 3*q, 2*q - 10 = 0. What is the remainder when z is divided by o?
68
Let u(o) = 8*o + 139. What is the remainder when u(-9) is divided by 32 + (-2)/(-3)*3?
33
Let d = -10100 + 10116. Calculate the remainder when 234 is divided by d.
10
Let x be 2*-11 + (-3 - 0). Let g = x - -37. What is the remainder when (-3 - 2)*168/(-20) is divided by g?
6
Let z be 1*(54/(-243) + 1892/9). Let a = z - 200. Calculate the remainder when 10 is divided by a.
0
Suppose 0 = x - 2*v - 132 + 33, -5*x = 4*v - 537. Calculate the remainder when 227 is divided by x.
17
Suppose 0 = 112*r - 3061 + 821. Calculate the remainder when 528 is divided by r.
8
Suppose -304 = 11*n - 798 - 2641. Suppose -2*i = 4*v - 52, 5*i + 2*v - 24 - 130 = 0. What is the remainder when n is divided by i?
29
Let m be (23/23)/(1/3). Suppose -4*q + m*p + 676 = 0, 0 = -3*q + p + 244 + 268. What is the remainder when q is divided by 16?
12
Let s = -192 - -329. Let g = 145 - s. What is the remainder when 46 is divided by g?
6
Let c be (4/(-3))/(-4)*57. Let d = 27 - c. Let g(n) = 73*n**2 + 4*n + 2. What is the remainder when g(-1) is divided by d?
7
Let d be 2/(-4 + (-1926)/(-480)). Calculate the remainder when 460 is divided by -5 - d/(-35) - (-2325)/35.
64
Suppose 0 = 3*c + 5*k - 796, c + k - 113 - 149 = 0. What is the remainder when c is divided by 63?
5
Let u(r) = -3*r + 33. Let m be u(15). Let t = 7 - m. Suppose 217 = 5*p - 158. What is the remainder when p is divided by t?
18
Let p = 16 - 14. Let c be 27/18 - (-1)/p. Suppose n + 3*j = 48, -3*n + 124 = 3*j + c*j. What is the remainder when 97 is divided by n?
31
Suppose 37 = w - 2*k, -3*w = -10*k + 8*k - 107. Let r = 109 - w. Let s = -4 - -23. What is the remainder when r is divided by s?
17
Let n = -150 + 98. Let d = 340 + n. What is the remainder when d is divided by 29?
27
Suppose 5*r - 259 = -4*z, 5*z - 10*r + 14*r - 317 = 0. Calculate the remainder when 1032 is divided by z.
56
Suppose -86 = 3*x - 2*x + 2*y, 2*y - 190 = 2*x. Let f = x + 141. What is the remainder when f is divided by 27?
22
Let f = -6626 + 6670. What is the remainder when 221 is divided by f?
1
Suppose g = -4*z + 109, 75 = -4*z + 71. What is the remainder when 1467 is divided by g?
111
What is the remainder when 2463/1 - (-27)/((-648)/(-264)) is divided by 816?
26
Let z = -8318 + 8612. What is the remainder when z is divided by 10?
4
Let g be ((-3138)/(-8))/((-18)/(-48)). Suppose 0 = -5*f - 186 + g. What is the remainder when f is divided by 29?
27
What is the remainder when (-83)/(4233/(-171819))*-1*1/(-3) is divided by 370?
13
Let o = -16 + 23. Calculate the remainder when 262/(-786) - ((-1299)/9 + 0) is divided by o.
4
Let k = 771 + -769. Suppose 4*t - k*x = 524, 0 = -4*t 