/(-2). Let o = g - -24. Calculate the remainder when o is divided by 12.
11
Let w(f) = -f**2 + 6*f + 17. Let g(h) = -h**3 - 19*h**2 - 16*h + 41. Let v be g(-18). What is the remainder when 283 is divided by w(v)?
19
Suppose 5*h + 15 + 25 = 0. Let z = h - -35. Suppose c - z = -2*c. Calculate the remainder when c is divided by 8.
1
Suppose -17 = -3*g - 4*a + 1, -9*a = -11*a. Calculate the remainder when 6 is divided by g.
0
Let k = 3274 - 2294. What is the remainder when k is divided by 12?
8
Let y = -35 - -35. Suppose -4*b + 241 = -o, b - 4*o + 0*o - 79 = y. Let a = 89 - b. What is the remainder when a is divided by 7?
2
Let f(m) = 119*m + 1900. Calculate the remainder when f(-15) is divided by 15.
10
Let h(s) = -4*s**3 + 11*s**2 + 2*s - s + 3*s**3 - 25 + 9*s. Let k be h(11). Suppose -k - 106 = -g. Calculate the remainder when g is divided by 49.
44
Suppose -43 = -8*s + 5. Let q = -6 + s. Suppose q = 5*p - 28 - 27. What is the remainder when p is divided by 8?
3
Suppose -25 = 263*b - 268*b. Suppose 5 = b*h, 4*y + 4*h - 314 = 6*h. What is the remainder when y is divided by 31?
17
Let w(o) = -3*o**2 + 21*o - 6. Let b = -76 - -81. What is the remainder when 84 is divided by w(b)?
12
Suppose -26*k - 10950 = 4*k. Let q = k + 380. Calculate the remainder when 33 is divided by q.
3
Let q = 11808 - 11652. Calculate the remainder when q is divided by 49.
9
Let q = -4056 - -4476. What is the remainder when 1262 is divided by q?
2
Let o(f) = f**3 + 10*f**2 + 7*f - 8. Suppose 4*j + 10 = 6. Let a be 10*(j - 0) - -1. What is the remainder when 38 is divided by o(a)?
8
Let m = -12250 - -12369. What is the remainder when 517 is divided by m?
41
Suppose -368*s + 648*s = 332*s - 2340. Suppose 135 = m - 179. Calculate the remainder when m is divided by s.
44
Let u be ((-1)/(-2))/((0 - -4)/(-496)). Let d = u - -81. Suppose 16*v - 11*v - 150 = 0. What is the remainder when v is divided by d?
11
Let i(r) = r**3 + 11*r**2 - 13*r + 3. Let f be i(-9). Let x = 365 - f. What is the remainder when x is divided by 14?
13
Suppose -147 = -4*h - 135. Suppose -20 = -i - 0*s - 2*s, 4*i + h*s - 75 = 0. What is the remainder when 269 is divided by i?
17
Suppose 3*h + 33*d - 34*d = 281, -296 = -3*h + 4*d. Calculate the remainder when h is divided by 412/26 + 3/(39/2).
12
Suppose -4*l - g + 40 = 0, -2*l + 48 = -35*g + 32*g. Suppose -2*u + 46 = -46. Calculate the remainder when u is divided by l.
10
Calculate the remainder when 534 is divided by 25/10*3724/35.
2
Let y(p) = -11*p + 2. Let q be y(0). What is the remainder when (q - (-309)/8) + 42/112 is divided by 22?
19
Let y(h) = h**3 - 5*h**2 + 4*h - 1. Let r be y(4). Let m(j) = -12*j**3 + j**2 + j. Suppose 0 = -4*t + 85 - 1. Calculate the remainder when t is divided by m(r).
9
What is the remainder when 216 is divided by -2*(-449)/14 + 231/(-1617)?
24
Suppose -6*r = -7*r + 2125. Let v be (-2 - (0 + -1))/((-17)/r). Suppose -128*o = -v*o - 66. What is the remainder when 42 is divided by o?
20
Calculate the remainder when (-132)/(-12)*-1 + 505 is divided by 42.
32
Suppose 71*u - 1757 = -124. Suppose -s + 3*z = -35, 3*z + 4 = 1. Calculate the remainder when s is divided by u.
9
Suppose 4*q + 2*d + 10 = 0, -q + 4*d + 20 = -0*d. Calculate the remainder when 45 + -2 + q/(6/(-3)) is divided by 9.
7
Suppose -66*h + 4436 + 4936 = 0. Calculate the remainder when h is divided by 26.
12
What is the remainder when 8 - -16661 - (51 - 39) is divided by 85?
82
Let n(l) = 2*l**3 - l**2 - 55*l + 194. Let i(q) be the third derivative of -q**4/4 - q**3/6 - 2*q**2. Calculate the remainder when n(4) is divided by i(-5).
28
Suppose 0 = -4*u + 331 - 75. Suppose 3*a = -2*a - 4*t + u, -t = 4*a - 60. Calculate the remainder when (-4*2/(-10))/(a/840) is divided by 11.
9
Suppose -5*g = -3*y + 21, y + 4*g - 6 = 1. What is the remainder when 9/(-24) - 1775/(-40) is divided by y?
2
Let s be (-21)/(-12) - (-2)/8. Let o = 4635 - 4594. What is the remainder when 163 - (s + (2 - 4)) is divided by o?
40
Suppose u - 15 = -4*j, 0*u + 5*j - 12 = u. Suppose -u = -10*l + 37. Suppose -9*w - l*w = -221. Calculate the remainder when w is divided by 5.
2
Let p = 77 + -31. Suppose 2*z + 5*r = 99, -z + 7*r = 6*r - p. Calculate the remainder when 232 is divided by z.
44
Let y(d) = 552*d + 4412. Calculate the remainder when 1109 is divided by y(-6).
9
Let j = -1031 - -1745. Let k = -565 + j. Calculate the remainder when k is divided by 14.
9
Suppose -9*q = -5*q + b - 51, q + 2*b = 4. Suppose -r = -0*r. Suppose 4*v = -3*z + 16, r = 2*z + 3*z - 2*v - 18. What is the remainder when q is divided by z?
2
Suppose 3*r - 22 = -7. Let p = 240 + -226. Let u = p - r. Calculate the remainder when u is divided by 3.
0
Calculate the remainder when (-81)/(-189) - (-2136673)/49 is divided by 12.
10
Let g(o) = -2*o + 6. Let u be (-16)/6 - (-26)/39. Let c be (8/4)/(1/u). Calculate the remainder when 39 is divided by g(c).
11
Let c(b) = -2*b + 92. Let x be c(-18). Let i = 130 - x. Suppose 5*w - p = 27, i*w + 3*p - 15 = w. What is the remainder when 19 is divided by w?
1
Suppose 5*v = -b + 599, 2327 = 4*b + 3*v - 6*v. Calculate the remainder when b is divided by 115.
9
Let b(d) = -90*d + 3828. Calculate the remainder when b(22) is divided by 461.
4
Calculate the remainder when 428 is divided by (-26)/8 + 2147/76.
3
Let p = 67 + -64. Suppose y = -p*t + 272, -5*y + 4*y + 2*t + 282 = 0. Calculate the remainder when y is divided by 56.
54
Let i(g) = 9*g**2 + 68*g + 67. What is the remainder when i(-11) is divided by 138?
132
Suppose 15 = -10*t + 15*t. Let g be (2 - t/2)*10. Suppose r = -4*c + 35, 0*r + g*r = c + 91. What is the remainder when 54 is divided by r?
16
Suppose 22554 = 8*l + 22418. What is the remainder when 67 is divided by l?
16
Let j(g) = 42*g + 16. Suppose 2*x + 44 = 66. What is the remainder when j(x) is divided by 13?
10
Let u(m) = m**2 + 74*m + 929. Calculate the remainder when u(-14) is divided by 11.
1
Let t(f) = 2*f**3 + 18*f**2 + 3*f - 6. Calculate the remainder when t(3) is divided by 12.
3
Let g(d) = 11*d + 128. Let z be g(-11). What is the remainder when z/(63/(-45))*13*-1 is divided by 35?
30
Let m(l) = l**2 - 2*l + 2. Suppose 17*w - 20*w = u - 293, 2*u - w = 600. What is the remainder when u is divided by m(-6)?
49
Suppose -3*l - 16*z - 146 = -18*z, -3*l - 139 = 5*z. Let o be (-8)/8 + 184/2. Let a = l + o. What is the remainder when a is divided by 11?
10
Let b(a) = a**2 - 4*a + 2. Let o = 69732 - 69685. What is the remainder when o is divided by b(4)?
1
Let u(s) = -s**3 - 49*s**2 - 59*s - 218. What is the remainder when u(-48) is divided by 64?
54
Calculate the remainder when (9 - -30)*10/6 is divided by (-1 + 2)*(-30 + 29)*-53.
12
Let t(k) = 28*k**2 + 498*k + 22. What is the remainder when t(-18) is divided by 53?
24
What is the remainder when 3889 is divided by (3*(1/(-3) - 0))/((-245)/22785)?
76
Suppose -12 = -5*m + 13. Suppose -297 = -2*o + 5*o + m*c, 4*o + c + 379 = 0. Calculate the remainder when o/(-6) - ((-8)/6 + 2) is divided by 4.
3
Let m be -4 + 2 + -2 + 7. Suppose -20 = 4*x, -y - 51*x = -46*x + 21. What is the remainder when y - (-29 + m + 1) is divided by 8?
5
Let j = 2451 + -1804. Calculate the remainder when j is divided by 131.
123
Let r = -228 - -237. Suppose -3*z + r = 0, 0 = 5*n + 3*z - 2*z - 43. Let w = 76 + -46. Calculate the remainder when w is divided by n.
6
Suppose 0 = 7*w - 3*w - 5*r - 99, -5*w + 2*r + 128 = 0. Suppose -3*a + 11 - 8 = 0. Let t(i) = 19*i - 4. Calculate the remainder when w is divided by t(a).
11
Calculate the remainder when (-581)/(-249)*(-6)/(-28)*12890 is divided by 43.
38
Let a be 14/2 - 6/(4/(-2)). Calculate the remainder when a/55 - (-17542)/77 is divided by 46.
44
What is the remainder when -2*3*(-3532)/8 is divided by 53?
52
Let c(m) = 8*m - 76. Calculate the remainder when 494 is divided by c(12).
14
Let c = -34081 - -34128. What is the remainder when 282 is divided by c?
0
Suppose -23*m + 17*m = -30. Calculate the remainder when 71 is divided by (0 + 1)/(m/60).
11
Let n(m) = -182*m - 1047. Calculate the remainder when 481 is divided by n(-6).
31
Let c = -15 + 42. Let a be c + (-6 + 3)*1. Suppose -7*v = -74 - a. Calculate the remainder when v is divided by 8.
6
Suppose 2*r = -3*r + 2*q + 5, 4*q - 14 = 2*r. Suppose s = r*s