4*t = -5*n - 99. What is the remainder when t is divided by 5 - (-5)/(-4 + 9)?
3
What is the remainder when (-2)/12 + 23569/222 is divided by 36?
34
Let d(f) = f**3 - f**2 + f + 17. Suppose -5*g - 5*u + 30 = 0, 0 = -g + u - 0*u + 8. Calculate the remainder when d(0) is divided by g.
3
Suppose 0 = 3*w + 3*p - 234, -5*p + 0*p - 350 = -5*w. Calculate the remainder when 22/(-55) - w/(-10) is divided by 3 - 4/(-2)*1.
2
Let d(m) = -m**2 + 7*m - 9. Let y be d(6). Calculate the remainder when (-18)/6*y/((-3)/(-14)) is divided by 16.
10
Suppose -4*d - 4*d = -160. Let k(c) = -2*c - 3. Let t be k(-3). Suppose b + t*i - 8 = 0, -3*b - 3*i + 30 = -0*i. What is the remainder when d is divided by b?
9
Suppose 3*d = 3*r + 159, 5*d - 174 - 123 = -3*r. Suppose 5*o - 4*q - 58 = 0, 2*o + o + 5*q = d. Calculate the remainder when 26 is divided by o.
12
Let x(i) = 4*i - 2. Let q be x(1). Let v(j) = 10*j + 105. Let o(f) = -2*f - 21. Let r(c) = q*v(c) + 11*o(c). What is the remainder when 31 is divided by r(-16)?
9
Suppose -4*i = -0 - 20. Let v = -104 + 107. Calculate the remainder when i is divided by v.
2
Let t(p) = p**2 + 7*p - 1. Suppose -3*y = 4*c + 44, -4*y = -0*c + 4*c + 52. Calculate the remainder when (-612)/(-24) - (-1)/(-2) is divided by t(y).
4
Let k(u) = -17*u**3 + 2*u**2 + u. Suppose 4*w - 29 - 56 = -5*j, 4 = 4*j. Let x = w - 10. Calculate the remainder when k(-1) is divided by x.
8
Let x be (-1 + 3 - 3) + -1. Let p be 3 + 1 + 2 + x. Let h(g) = 3*g**2 + g - 7. What is the remainder when h(p) is divided by 12?
9
Let u(g) be the first derivative of 4*g**2 + 3*g + 43. Calculate the remainder when 27 is divided by u(1).
5
Suppose -o - o + 129 = -a, -2*a - 196 = -3*o. Suppose 0 = -4*i - 14 + 18. Let r(p) = 23*p**2 - p. What is the remainder when o is divided by r(i)?
18
Suppose d = -4*d + 90. Let q be -2*-6*(-2)/(-8). Suppose -u = -0*u - 2*t - 28, 3*u = q*t + 93. What is the remainder when u is divided by d?
16
Let i(o) = 34*o - 26. Let v = 32 - 18. What is the remainder when v is divided by i(1)?
6
Let z = 1725 - 1705. What is the remainder when 57 is divided by z?
17
Suppose -9*z = -11*z + 32. What is the remainder when 58 is divided by z?
10
Suppose -11 = -4*u + 1. Suppose -9 = -6*q + 3. Suppose q*h = -u*h + 325. What is the remainder when h is divided by 17?
14
Suppose -3*l - 78 = -3*b, -b + 4*l + 11 = -3. Calculate the remainder when b is divided by 18.
12
Suppose 3*b - 4*d - 143 = 0, -14*d = -b - 23*d + 89. What is the remainder when b is divided by 8?
5
Let u = 47 - 45. Let o(x) = 2*x**3 + 2*x**2 - 2*x + 3. Calculate the remainder when 45 is divided by o(u).
22
Let w = 1477 + -1467. Suppose 10 + 6 = 2*u. Calculate the remainder when w is divided by u.
2
Suppose 19*j = 11*j + 1440. Calculate the remainder when j is divided by 91.
89
Let t(q) = -3 + 7 - 2*q + 0 - 2. What is the remainder when t(-10) is divided by 5?
2
Let h be (6/24)/((-1)/(-68)). Let a = 17 - h. Suppose -r + 5*r - 5*l - 337 = a, -l + 73 = r. Calculate the remainder when r is divided by 20.
18
Let i(c) = 18*c**2 - 9*c + 30. Calculate the remainder when i(3) is divided by 35.
25
Let w(z) be the third derivative of -z**6/120 + z**5/12 + 3*z**4/8 - 2*z**3/3 - 19*z**2. What is the remainder when 54 is divided by w(6)?
12
Let o(g) = -10*g**2 + 74*g - 13. Let k = 21 - -2. Calculate the remainder when k is divided by o(7).
8
What is the remainder when 181 is divided by (126/49)/(3/28) + 2?
25
Suppose u = -0*u - 2*c + 1, 2 = 2*u - 5*c. Calculate the remainder when (43 - -2 - 2)*u is divided by 1 + 2 - 3 - -22*1.
21
Let r = 9 + 0. Let m(f) = f**3 - f**2. Let l(y) = -3*y**3 + 11*y**2 + 2*y + 7. Let h(q) = l(q) + 2*m(q). Calculate the remainder when h(r) is divided by 13.
12
Suppose 0 = 8*m - 1815 - 1185. Calculate the remainder when m is divided by 38.
33
Let j be 101/11 + (-18)/99. Let b(q) = -j + 1 - 3*q - 3. What is the remainder when b(-10) is divided by 10?
9
Let v(l) = -181*l + 5. What is the remainder when v(-2) is divided by 22?
15
Let q = 286 + -252. What is the remainder when q is divided by 34?
0
Let d = -985 + 1039. Let b(y) = 3*y - 1. Let i(v) = -v**3 - 7*v**2 - 6*v + 5. Let s be i(-6). What is the remainder when d is divided by b(s)?
12
Suppose -296 = -37*u + 777. Calculate the remainder when 139 is divided by u.
23
Let p = 1 - -4. Suppose 3*r = p*a + 14, -2*r - 3*a = -38 - 3. Calculate the remainder when 47 is divided by r.
8
Let m(f) = 15*f**2 + 2*f + 1. Let a be m(2). Suppose 3*n - 4*z = -12 + a, -z + 58 = 3*n. Calculate the remainder when 89 is divided by n.
13
Suppose 0 = -3*a - 3*p + 1350, a = 5*p - 4*p + 444. What is the remainder when a is divided by 56?
55
Suppose -3*v = -9*v + 9*v - 132. Let a = 8 + 5. Calculate the remainder when v is divided by a.
5
Let r = 29 - 18. Suppose 0 = -2*j + r + 113. Calculate the remainder when j is divided by (8/(-24))/(1/(-39)).
10
Let m = 61 - 36. Let x(h) = -h**3 + 24*h**2 + 27*h - 28. What is the remainder when 84 is divided by x(m)?
18
Let a(p) = -46*p**2 + 18*p + 9*p + 6 + 94*p**2 - p**3 - 25*p**2. Calculate the remainder when a(24) is divided by 10.
8
Suppose -45*f = -15*f - 2700. What is the remainder when 447 is divided by f?
87
Let g(o) = 176*o**3 - o**2 - 4*o + 5. Calculate the remainder when g(1) is divided by 108.
68
Suppose -5*n + 4*n = -6. Let g be ((-3)/4*4)/((-3)/(-8)). Let l(q) = -4*q - 29. What is the remainder when n is divided by l(g)?
0
Suppose -a = -9*a - 568. Let j = 110 + a. What is the remainder when j is divided by 21?
18
Suppose -8*b + 1564 = -524. What is the remainder when b is divided by 19?
14
Let b(v) = -v**2 - 68*v + 26. What is the remainder when b(-20) is divided by 90?
86
Let h(l) = l**2 + 10*l - 21. Let d be h(-14). Let t = -8 + d. What is the remainder when t is divided by 18?
9
Suppose -6*u - 5 = -u, 5*u + 225 = 4*d. Calculate the remainder when 162 is divided by d.
52
Suppose 3*u - 54 = -3*u. Let x = -61 + 76. Calculate the remainder when x is divided by u.
6
Let f(u) = u**2 - 7*u + 9. Let l be f(6). Suppose 5*b + 3 = -17, -l*j = -2*b - 104. Suppose -14 - j = -2*o. Calculate the remainder when 66 is divided by o.
20
Let i(f) = 214*f**2 - f - 2. Let w be i(-1). Suppose b - 72 + 17 = -3*c, -4*b + w = 5*c. What is the remainder when b is divided by 3/((-18)/210*10/(-4))?
10
Suppose -4*c + 2*k + 30 = 0, -42 = -5*c + 3*k - 2. Suppose 4*u = 3*d + 2*u - 62, 0 = -c*u - 20. What is the remainder when d is divided by 7?
4
Suppose -x + 5*g = 21, 3*x + 5*g + 16 = 53. Suppose -b + x*v = 70, 0*v = -v - 4. Calculate the remainder when 26 is divided by 6/(-18) - b/6.
12
Let w = 20 - 12. Suppose 13 = t + w. Suppose -28 = f - 3*f. Calculate the remainder when f is divided by t.
4
Let i(u) = u**2 + 5*u - 9. Let s be i(-6). Let x(v) = 1 + 3*v**2 - v**2 + 2 + 5*v. Calculate the remainder when 16 is divided by x(s).
4
Let t = 59 + -40. Suppose -117 - 171 = 3*o. Let z = o - -170. What is the remainder when z is divided by t?
17
Suppose -3*r + 194 = -5*t, 6*r + 2*t = 4*r + 156. Calculate the remainder when r is divided by 20.
13
Let o = 123 + -69. Let a(x) = 5*x**3 + 2*x**2 - x - 4. Let t be a(-2). Let c = t - -48. What is the remainder when o is divided by c?
12
What is the remainder when 24/(-42) - 32270/(-49) is divided by 44?
42
Let y(n) = n**2 + 3*n - 3. Let k(o) = -44*o - 9. Let c be k(6). Calculate the remainder when c/(-11) + 4/22 is divided by y(2).
4
Suppose -6*r + 2*r + 28 = 0. Let o(l) = l**2 + 4*l - 1. Let p be o(-5). Let g(d) = d**2 - 4*d + 2. Calculate the remainder when r is divided by g(p).
1
Suppose -2*n + 46 = 4*k, 2*n - 63 = -n - 3*k. Suppose -60 = 2*x - 248. What is the remainder when x is divided by n?
18
Suppose 0 = 14*k + 18 - 102. Let y = -55 + 96. What is the remainder when y is divided by k?
5
Let k(y) = 59*y**2 - 1. Let j(n) = 4*n + n**2 + 9*n - 2*n**2. What is the remainder when k(1) is divided by j(10)?
28
Calculate the remainder when (-31)/(-4) + 1/4 is divided by ((-90)/24)/((-99)/132).
3
Let g(i) be the second derivative of i**4/3 - i**2 - 14*i. What is the remainder when g(-4) is divided by 9?
8
Let c(l) = 4*l - 29. Let s(r) = 2*r - 16. Let g be s(15). Suppose 2*n = 4*t - 436, -n = 4*t - 0*n - 424. What is the remainder when t is divided by c(g)?
26
Suppose -21*z - 7*z = -560. What is the