6. Calculate the remainder when y is divided by 1/(2*(-2)/(-96)).
21
Let f(i) = -9*i**2 - 7*i + 4. Let d be f(-4). Let t = 121 + d. What is the remainder when 22 is divided by t?
4
Suppose -49 + 13 = -3*p. Calculate the remainder when (-1 - 5)*(0 - p) is divided by (1185/20)/3 - 3/4.
15
Let n = -6199 + 6256. What is the remainder when 345 is divided by n?
3
Let a = -39 + 60. Calculate the remainder when 212 + 9*(-6)/18 is divided by a.
20
Let m(s) = -s**2 + 13*s + 8. Let k be m(14). Calculate the remainder when 792/(k - -15)*2/2 is divided by 19.
12
Suppose 5*j = -d + 98, -d - 12 = -4*j + 61. Let r(k) = -9*k**3 + 2*k**2 + 4*k + 3. Calculate the remainder when r(-2) is divided by j.
18
Suppose -3*j = 5*g - 4, 0*j = 4*j + 2*g + 18. Let b be 1 - 4 - (j + (-5 - -3)). Suppose b = p - 45. Calculate the remainder when p is divided by 13.
12
Let v(k) = -2*k + 25. Let m be v(-13). Let z = 54 - m. Suppose z*n - 3*f - 66 = 2*f, 3*n - 48 = -f. What is the remainder when 45 is divided by n?
11
Let b = -6 + 8. Suppose -12*w = -13*w + b. Calculate the remainder when 10 is divided by w - (4 - (-30)/(-5)).
2
Let d = 44 + -39. Suppose -5*k = -o - 7 + 1, 18 = d*k + 2*o. Suppose k*j = 3*i + 69, -2*i + 6*i + 105 = 3*j. Calculate the remainder when j is divided by 7.
4
Let d = -28359 + 29429. What is the remainder when d is divided by 89?
2
Suppose 703 = 2*q + o + 4*o, -1399 = -4*q - 3*o. Suppose 0 = -15*h - 8*h + 736. Calculate the remainder when q is divided by h.
29
Suppose 76*q + 24*q - 12333 = 10167. Calculate the remainder when q is divided by 207.
18
Let i = -31289 + 31851. What is the remainder when i is divided by 275?
12
Let q = -462 + 462. Suppose q = -239*f + 237*f + 124. Calculate the remainder when f is divided by 29.
4
Let b(s) = -s**2 - 30*s - 206. Calculate the remainder when 328 is divided by b(-13).
13
Let q = 2112 - 1456. Calculate the remainder when q is divided by 55.
51
Let a(c) be the first derivative of -3*c**3 + 4*c**2 + 2*c - 1/4*c**4 - 6. Calculate the remainder when a(-10) is divided by 5.
2
Suppose g - w = 3995, 0 = 3*g + 15*w - 16*w - 11989. Calculate the remainder when g is divided by 9.
1
Let j = 11 + 31. Calculate the remainder when j is divided by ((-135)/(-19) - -4) + 42/(-399).
9
Let p(s) = s**3 + 9*s**2 + 8*s + 3. Let f be p(-8). Suppose 3*n - n - 5 = -3*r, 3 = f*r. What is the remainder when 38 is divided by -13*(1 + (-1 - n))?
12
Let i(j) = 26*j + 134. Let s be i(-7). Let t = 97 + s. What is the remainder when 189 is divided by t?
42
Let r(f) = -f**2 - 8*f + 13. Let x be r(-11). Let y = 55 + x. Suppose 0 = -10*v + 276 - 86. What is the remainder when y is divided by v?
16
Let u = 146 - 143. Suppose 0 = t - 3, 0*j - u*j + 2*t = -69. Calculate the remainder when 120 is divided by j.
20
Let t be ((4/(-10))/((-13)/65))/1. Suppose -2*i - 4*y + 95 = -3*y, 65 = t*i - 5*y. Calculate the remainder when 401 is divided by i.
41
Let l(f) = -120*f + 3361. Calculate the remainder when 1571 is divided by l(27).
119
Let t(c) = 2*c**2 + c - 73. Let a be t(6). What is the remainder when (5 - (-5769)/45) + (-1)/a is divided by 38?
19
Suppose 0 = -8*l - 388 + 687 + 621. What is the remainder when 1368 is divided by l?
103
Let h be 955/(-5)*(4 + 9/(-3)). Let x = h + 206. What is the remainder when 57 is divided by x?
12
Let y(a) = -a**2 - 2*a + 5. Let x be y(1). What is the remainder when (-561)/(-12) + (-6 + x)/(-16) is divided by 16?
15
Suppose -99 = -69*q + 1074. Calculate the remainder when 2186 is divided by q.
10
Suppose 0 = -3*s - 4*a + 43, 3*s + 52*a = 57*a + 7. Let i(u) = -u**2 + 16*u - 38. What is the remainder when 72 is divided by i(s)?
22
Let c = -12 - 15. Let g(s) = -2*s**3 - 16*s**2 + 15*s - 1. Let u be g(1). What is the remainder when 52 is divided by c/(u + 25/10)?
16
Suppose 0 = 5*i + 5*d + 320, -i - 5*d - 68 = -0*i. Let r be (-81)/i + 2/(-7). Calculate the remainder when 103 is divided by (r/3)/((-4)/(-216)).
13
Suppose -4598*b = -4576*b - 418. Calculate the remainder when 4806 is divided by b.
18
Calculate the remainder when (6516 - 0 - (-5 + -1))/2 is divided by 8.
5
Suppose 12 = 4*q + 4. Suppose 4*b - 15 = -3*k, 5*k - b - 25 = q*b. What is the remainder when 4*(-297)/(-432)*12 is divided by k?
3
Suppose 3*l + 237 = 651. What is the remainder when l is divided by -582 + 610 + (-2 - -3) + -1?
26
Let w = -716 - -734. Let q be 5 + (-9)/(4 - 1). Suppose 4 + 18 = q*h. Calculate the remainder when w is divided by h.
7
Let y = 474 - 229. What is the remainder when y is divided by 19?
17
Suppose 15 = -0*l + l. Suppose 0 = 3*b + 5*q + 570 - 747, -4*q = 5*b - 295. Calculate the remainder when b is divided by l.
14
Let z(u) = 91*u**2 + 5*u - 8. Let f be z(2). Suppose -261 + f = 5*j. Calculate the remainder when 354 is divided by j.
18
Suppose 16*z = 10*z. Suppose z = b - 6*g + 2*g - 18, 2*b = 4*g + 32. Suppose -k - f + 24 = 0, -k = 3*f - b - 2. What is the remainder when k is divided by 16?
12
Let p be (-5)/3 - (-25686)/54 - 2. Let d = p - 464. What is the remainder when 124 is divided by d?
4
Let u(k) = 19*k + 59. Let o be u(-3). Suppose -2 - o = 2*h, 3*h - 112 = -2*a. What is the remainder when a is divided by 10?
9
Let t(x) = -x**3 + 6*x**2 + 2*x + 11. What is the remainder when 1/((-9)/(-990)) - 3/(-1) is divided by t(6)?
21
Let o = -13810 + 13919. Calculate the remainder when 979 is divided by o.
107
Suppose -3*h = 2*o - 437, -18*o + 19*o + 303 = 2*h. What is the remainder when h is divided by (-348)/(-7) - 4/(-14)?
49
Suppose u + 5 = 0, u + 2*u + 1300 = 5*w. What is the remainder when 774 is divided by w?
3
Let k be ((-672)/20)/((-2)/10). Suppose -12*x = -9*x + k. Calculate the remainder when 37 is divided by (x/24)/((-1)/9).
16
Suppose -245*q - 43*q + 22858 = -27254. Calculate the remainder when q is divided by 5.
4
What is the remainder when (2/(-6) + (-33)/(-45))*420 is divided by 8?
0
What is the remainder when 605 is divided by 13 - 92*(-4)/16?
29
Suppose 0 = 3*b - 4*k + 105, -b - 9*k + 11*k - 33 = 0. What is the remainder when 80 is divided by b + 40 - (-12 + -1)?
10
Suppose 0 = 13*s - 102 - 2. Suppose 14*w = s*w + 408. What is the remainder when w is divided by 24?
20
Suppose -4*v + 40 = v + 3*c, -4*v - 3*c = -35. Suppose -v*b + 195 = -25. What is the remainder when 131 + (0/3)/2 is divided by b?
43
Calculate the remainder when (57933/82 - 2/4)/(1 + 0) is divided by 7.
6
Suppose 14*w - 13*w + 4*r - 106 = 0, 0 = -w - 3*r + 104. What is the remainder when w is divided by 13?
7
Suppose l + 5*m - 12 = 14, l = -3*m + 24. Calculate the remainder when l is divided by -36 - (-1056)/33 - -18.
7
Suppose -6*z - 95 = -25*z. Suppose -4*u - 3*s + 76 = 0, 84 = z*u + 3*s - 2*s. Let f(t) = 2*t + 1. Calculate the remainder when u is divided by f(2).
1
Suppose -220*z + 82602 = 85*z - 71*z. Calculate the remainder when z is divided by 23.
8
Let k(q) = -9*q**2 + 59*q + 15. What is the remainder when 600 is divided by k(5)?
5
Suppose -3*m + 4*j + 209 = 0, 3*m + 120 = -j + 319. Calculate the remainder when 1740 is divided by m.
65
Let c be 11*(12/16 + 142/(-8)). Let k = -178 - c. Calculate the remainder when ((-17)/2)/((-2)/8) is divided by k.
7
Let w(c) = c**3 + 15*c**2 - 55*c - 7. Let t(d) = 22*d + 48. Let n be t(-3). Calculate the remainder when w(n) is divided by 3.
2
Let u = 33 + -18. Suppose -140 = -8*a + 9*a. Let z = 198 + a. What is the remainder when z is divided by u?
13
Let n(o) = 254*o - 228. Calculate the remainder when 292 is divided by n(1).
6
Let g = 20624 + -20530. Suppose m = 4*m + 6. Let z = m - -18. Calculate the remainder when g is divided by z.
14
Suppose 2*q + 23 = -5*s, -5*s = q + 5 + 19. Let k(t) = -3*t**3 - 7*t**2 - 24*t + 4. Calculate the remainder when k(s) is divided by 41.
37
Suppose -18*u + 76 = -50. Let x = 109 - 191. Let a = 129 + x. Calculate the remainder when a is divided by u.
5
Suppose 0 = -5*q + 3*q - 12. Let n(a) = -a**3 - 7*a**2 - 9*a - 2. Let p(l) = 1573*l**2 - 44046*l + 65. What is the remainder when n(q) is divided by p(28)?
7
Suppose 3*r = -11325 + 68541. Calculate the remainder when r is divided by 17.
15
Let a(v) = v - 4. Let r be a(2). Let j be ((-6)/10)/(r/(-10)) - 28. Let z = j - -48. Calculate the remainder when 66 is divided by z.
15
Let g = -30 + 32. Suppose 5*r - 51 = -16. Calculate the r