ded by 8.
7
Let f(n) = -n**2 + 73*n - 197. Calculate the remainder when 535 is divided by f(69).
61
Suppose 5084 = 12*l + 4*f, -82*f = -87*f - 20. What is the remainder when l is divided by 108?
101
Let k = 363 - 343. Suppose 2*f = -k*f + 1166. What is the remainder when 370 is divided by f?
52
Let l(z) = -z + 1. Let g(b) = -12*b - 15. Let x(p) = g(p) + 5*l(p). Let k be x(4). Let y = -55 - k. What is the remainder when y is divided by 16?
7
Let c be 31/11 + (-2)/11*-1. Suppose 9 = v + 5*i - 39, 0 = c*v - 2*i - 59. Calculate the remainder when 42 is divided by v.
19
Calculate the remainder when (-14 - -10)*227/(-4) is divided by 207.
20
Let b(s) = 17*s + 11. Suppose -4*x - x - 189 = 3*l, x + 51 = -5*l. Let i = 76 + x. What is the remainder when b(4) is divided by i?
39
What is the remainder when 11 + -5 + 264 + 9/3 is divided by 41?
27
Suppose -2*m + g = 177, 4*m + 152 = 2*m - 4*g. Let v = -11 - m. Calculate the remainder when v is divided by 10.
5
Suppose 0 = 9*n - 5*n - 40. Suppose n*v - 441 - 139 = 0. Let r = -48 + v. Calculate the remainder when 59 is divided by r.
9
Suppose 0 = 4*x + 3*t - 197, -x = -t + 152 - 210. Suppose r - 54 = -4*h, 3*r - h = 76 + 34. What is the remainder when x is divided by r?
15
Let s(v) = -2*v**3 - 2*v**2 - 2*v + 3. Let r be s(-3). Let f = r + -33. What is the remainder when 28 is divided by (-18)/(-2)*8/f?
4
Suppose 177 = -8*c + 529. Suppose n - 3*n + c = 4*x, -3*x - 3*n + 30 = 0. What is the remainder when 81 is divided by x?
9
Suppose 4*z + 2*a = 666, -4*z + 2985 = 14*z + 5*a. Calculate the remainder when z is divided by 35.
25
Let z = 5127 - 5036. What is the remainder when 289 is divided by z?
16
Let z be 8*(-6 + 5 - -57). Suppose 27*o + z = 41*o. What is the remainder when o is divided by 7?
4
Let j(r) = r**2 + 38*r + 63. What is the remainder when 212 is divided by j(-39)?
8
Suppose 16646 = 2*y + 4*n, 5*y = -2*n + 33304 + 8287. What is the remainder when y is divided by 29?
23
Suppose -3*s = -3*t + 207, t - 5*s + 239 = 4*t. Let b = -112 + 274. What is the remainder when t is divided by 2/(-3)*b/(-4)?
19
Suppose 7*v = 261 + 2623. Suppose 10*k - v = 408. Calculate the remainder when k is divided by 24.
10
Let r = 23 + -25. Let j = -45 - -21. What is the remainder when 27 is divided by (3 + 32/j)/(r/(-12))?
7
Let j(v) = -v**3 + 3*v**2 + 3*v - 3. Suppose -29 = -10*s + 1. Let f be j(s). What is the remainder when (f/18)/(2/318) is divided by 27?
26
Suppose 18*i - 15*i = 810. Suppose 4*g = h + 5*g - 64, 2*h - 3*g = 148. Suppose 0 = 122*a - 118*a - h. Calculate the remainder when i is divided by a.
15
Suppose 6*k - 71 = 337. Calculate the remainder when -4 - (-2 - (1 + k)) is divided by 14/((2 - -1) + -2).
11
Suppose -3*v + 88 + 511 = 4*x, 4*x - 2*v = 614. Let d = x - 146. Let z(j) = 2*j**2 - 2*j - 1. Calculate the remainder when z(-4) is divided by d.
3
What is the remainder when (-10)/(-4)*(102132/255 - (-4)/(-34)) is divided by 26?
13
What is the remainder when ((-86)/6)/(-24 + 25774/1074) is divided by 34?
13
Suppose k - 5*l = 129, -3*k + 473 = -4*l + 31. Let b = 215 - k. Suppose 3*z = 5*i - 71, 5*i + 2*z - b = -0*i. What is the remainder when 37 is divided by i?
11
Let i be (2/((-4)/11))/(7/14). Suppose -5*l = 2*n - 4*n + 66, 3*n = 3*l + 117. What is the remainder when n is divided by (4 - 10)*-3*(-10 - i)?
7
Suppose 5*c = -2*h + 3*c - 8, 3*h - 2*c = -17. Let i = h + 22. What is the remainder when 25 is divided by i?
8
Let h = -17864 + 28658. Calculate the remainder when h is divided by 17.
16
Let y(m) = m**3 - 2*m**2 - 9*m + 4. Let o be y(4). Suppose 2*x + 4*h - 14 = o, 5*h = -5*x + 49 + 6. Calculate the remainder when 53 is divided by x.
8
Let c(j) = -j**3 + 3*j**2 + 6*j - 6. Let n be c(4). Suppose 19*l = -24*l + 172. Suppose -n*i + 6*i = l. What is the remainder when 4 is divided by i?
0
Let a(n) be the first derivative of 5*n**3/3 - 17*n**2/2 - 29*n + 203. Calculate the remainder when 474 is divided by a(-2).
24
What is the remainder when 927 is divided by 20 + (-11 - 17)/7?
15
Let y = -103 - -106. Suppose -m + y*o - 2*o = 4, -3*o = 5*m - 12. Suppose 2*f - 18 + m = 0. What is the remainder when f is divided by 3?
0
Suppose -f - 3*o + 108 - 70 = 0, -o = -2*f + 41. Calculate the remainder when 757 is divided by f.
21
Let f(s) be the third derivative of s**5/15 + s**4/24 - 3*s**3/2 + 55*s**2. Calculate the remainder when f(2) is divided by 5.
4
Let t(g) = 3*g**2 - 61*g - 1595. What is the remainder when t(-17) is divided by 15?
9
Suppose -214 + 68 = -2*x. Let g(o) = 6*o**3 - 2*o**2 + o + 7. What is the remainder when g(3) is divided by x?
8
Let b be (-35 + 32)*(-32)/3. Suppose -46*p + b*p = -1288. What is the remainder when p is divided by 14?
8
Let v = 62 - 64. Let o be 3 + -2*2/v. Suppose -4*s + 109 = o*g, -2*s + 7*s - 4*g = 85. Calculate the remainder when s is divided by 3.
0
Suppose 14*q = -14*q + 112. Suppose -3*c + 4*h - 398 = -6*c, -5*c + 650 = q*h. What is the remainder when c is divided by 13?
9
Let x(g) = 2*g**2 + 4*g + 4. Let u be x(-1). Suppose u*h - 40 = 32. What is the remainder when 106 is divided by h?
34
Suppose -4*d + 258 = 90. What is the remainder when (219/(-2))/((-504)/1344) is divided by d?
40
Let x(i) = -2*i - 5. Let p be x(-6). Suppose -t = -p - 1. Calculate the remainder when ((-4 + 175/42)*2)/((-4)/(-372)) is divided by t.
7
Suppose -5*r - 23 + 218 = 0. Let v = r + -37. Suppose 5*p - 141 = -v*x, -4*x + p = 2*p - 291. Calculate the remainder when x is divided by 15.
13
Let i(t) = t**3 + 6*t**2 + t + 18. What is the remainder when 4506 is divided by i(-4)?
44
Let a(o) = 5*o + 11. Suppose 0 = -68*r - 1349 + 10597. Calculate the remainder when r is divided by a(8).
34
Let p(u) = 5*u**2 + u + 4. Let a be ((-27)/2)/((-9)/2 + 4). Let y = -25 + a. Calculate the remainder when p(y) is divided by 8.
2
Calculate the remainder when 67 is divided by -50*(105/10 - 11) + -11.
11
Let x(o) = 2*o**3 - 25*o**2 + 13*o + 3. Let k be x(12). Suppose -996 = -k*l + 3*l. Calculate the remainder when l is divided by 30.
23
Let h be (6/1)/(-2) + 150/(-10). Let c = h + 2. What is the remainder when (4/c*53)/((-1)/8) is divided by 36?
34
Let m = 12715 + -12697. What is the remainder when 968 is divided by m?
14
Let s(r) = 2*r**2 + 23*r + 7. Let g(o) = o**2. Let c = -21 - -16. Let t(i) = c*g(i) + s(i). What is the remainder when t(7) is divided by 8?
5
Let m = -214 + 258. Suppose -45*n = -m*n - 24. What is the remainder when 262 is divided by n?
22
Suppose -5*v + 88 = -117. Let b(a) = -6*a**2 - 11*a - 9. Let z be b(12). Calculate the remainder when z/10*-2 - (0 - 1) is divided by v.
38
Suppose 9*x - 192 = -3*x. Let i(h) = 3*h**2 + 10*h - 10. Let k be i(-9). Suppose -172 = -5*z + k. What is the remainder when z is divided by x?
15
Let z(q) = q**2 + 3*q + 4. Let g be z(-3). What is the remainder when (-2214)/(-95) - (-286)/(-2717) - (-12)/15 is divided by (-46)/(-6) - g/6?
3
Suppose 0 = -0*m - 27*m - 15573 + 19002. What is the remainder when 16888 is divided by m?
124
Let b(a) = -14*a**2 + 2*a + 4. Suppose m - 6 = y + 2, -4 = -m. Let l be b(y). What is the remainder when l*(1 + 5/(-3)) is divided by 31?
28
What is the remainder when 1793 is divided by (0 - 24)*(-348)/522*(-39)/(-8)?
77
Suppose 0 = 167*p - 162*p + 10, n + 4*p - 389 = 0. What is the remainder when n is divided by 128?
13
Suppose 66*k = -2*p + 71*k + 30, -p + 21 = -4*k. What is the remainder when 50 is divided by p?
0
Suppose -527*f - 45 = -532*f. Suppose 7*d - 752 = -f*d. What is the remainder when 561 is divided by d?
44
Suppose 14*t - 22*t + 64 = 0. Let m(u) = 4*u - 28. Let j be m(t). Suppose j*s - 12*s + 920 = 0. Calculate the remainder when s is divided by 30.
25
Suppose -a = 5*p + 32 + 30, 3*p = -a - 36. Calculate the remainder when (-139)/(-2) + p/(-130)*-5 is divided by 4.
1
Suppose -5*k - 18*k + 92 = 0. Suppose r - 138 = 5*h - 739, -4*h = k*r - 476. Calculate the remainder when h is divided by 42.
36
Suppose 403 = 4*z - 7*w + 8*w, 409 = 4*z - 5*w. Suppose -3*l + 3*f + 63 = 0, 2*l - 3 = -3*f + 39. Calculate the remainder when z is divided by l.
17
Let w(o) be the first derivative of 3*o**3 - 67*o**2/2 - 15*o - 33. What is the remainder when w(8) is divided by 6?
1
Let d be (3/(-6))/(2/(-8)). Suppose d*f = z - 1, -3*f = 2*f - 10. Suppos