 + 16. Let n = 17 + -12. Suppose -n*u = 2*r - 250, -2*u + 120 - 9 = 3*r. Calculate the remainder when u is divided by k.
14
Let v = 989 + -969. What is the remainder when 66 is divided by v?
6
Suppose 6505 = -163*g + 168*g. Calculate the remainder when g is divided by 21.
20
Suppose 0 = 3*u - 5*u + 20. What is the remainder when 46 is divided by u/30 + 70/6?
10
Suppose -2*b + 18 = -2. Let c(q) = -q**3 + 9*q**2 + 14*q - 8. Calculate the remainder when 93 is divided by c(b).
29
Let w = 2 - -1. Suppose -17 = w*m + 13. What is the remainder when 17 is divided by (-1 + -1)/(m/50)?
7
Let r(a) = -7*a + 9. Let q be r(-4). Let m = 50 - q. What is the remainder when 25 is divided by m?
12
Let s(g) = g**2 + 5*g + 4. Let n be s(-3). Let v be 32/40*(-35)/n. Suppose -5*k + z = -2*k - v, 18 = 5*k - 3*z. What is the remainder when 10 is divided by k?
4
Let f(d) be the third derivative of -1/120*d**6 + 0 - 1/3*d**4 - 12*d**2 + 1/6*d**3 - 7/60*d**5 + 0*d. What is the remainder when 64 is divided by f(-6)?
12
Let m = 269 + -221. Let n(g) = 3*g - 2. Let c be n(2). Suppose 45 = 3*s + 2*a, -2*a + 16 = -c*s + 90. What is the remainder when m is divided by s?
14
Let k(v) = 5*v - 1. Suppose 3*p + 0*w = -w + 3070, 5*w = -3*p + 3074. What is the remainder when p/55*1*5 is divided by k(5)?
21
Suppose -85 = 6*u + 5. Calculate the remainder when 78 is divided by (0 + (-4)/20)*u + 13.
14
Suppose -k + 76 + 140 = 4*h, -3*k + 12 = 0. Let v = 90 - h. Let o = 1 + 12. Calculate the remainder when v is divided by o.
11
Suppose -6 = -2*k - k. Let q be (-10)/55 + 26/22. Calculate the remainder when 1*4 + q/(-1) is divided by k.
1
Let l(f) = -f**2 + 7*f - 5. Let k be l(6). Calculate the remainder when -16 - -56 - 2*k/2 is divided by 10.
9
Suppose 130*s = 122*s + 176. Calculate the remainder when 104 is divided by s.
16
Let h(g) = 178*g - 685. What is the remainder when 212 is divided by h(4)?
23
Let f(d) = 16*d**2 - 32*d - 69. Suppose -3 = -4*j + 1. Calculate the remainder when f(-2) is divided by (j + 1)*-1 + 17.
14
Suppose 0 = 2*p + 5*s + 24 + 7, -3*p + 4*s - 35 = 0. Let a = 23 + p. Calculate the remainder when 27 is divided by a.
7
Let j(v) = -v + 7. Let y be j(6). Suppose -27 - y = -2*g. Let k = 95 - 40. Calculate the remainder when k is divided by g.
13
Let y = -16 - -28. Suppose 3*a - y = 0, 4 = p - a - 25. Calculate the remainder when p is divided by 17.
16
Let a(r) = -18*r - 103. Calculate the remainder when 144 is divided by a(-6).
4
Let x(a) = -3*a**2 + 18*a + 4. Calculate the remainder when 173 is divided by x(5).
2
Suppose -42*y + 47*y + q - 1085 = 0, 0 = 4*q. What is the remainder when y is divided by 69?
10
Let c(y) = 8*y + 404. What is the remainder when c(-35) is divided by 37?
13
Let l = -34 - -39. Calculate the remainder when (10 - -8)*((-8)/(-6))/1 is divided by l.
4
Suppose 34 = -c + 102. Suppose -14*i - 119 = -287. What is the remainder when c is divided by i?
8
Let m = -98 - -113. Suppose 4*o - 407 = -5*d, 0 = o + 4*d + 1 - 89. Suppose -z = 3*z - o. What is the remainder when z is divided by m?
12
Let x(m) be the third derivative of 0 + 0*m + 11/6*m**3 - 6*m**2 + 1/12*m**4. Calculate the remainder when x(0) is divided by 4.
3
Let l be (2 - 1) + 35 + -2. Let h = l + -29. Suppose -2*a + 30 = 5*v, -4*v = h*a - 94 - 15. What is the remainder when 74 is divided by a?
24
Suppose 7*x = 5*x + 66. Suppose -x = -h + 16. Calculate the remainder when h is divided by 13.
10
Suppose -3*q + 0 = 42. Let a = q + 44. Suppose -8 = -2*k + a. Calculate the remainder when k is divided by 5.
4
Let n(j) = j**2 - 24. Calculate the remainder when 24 is divided by n(-5).
0
Let p = -436 - -658. What is the remainder when p is divided by (1 - -1)*(2 + (20 - 6))?
30
Suppose -c = 2, c = -g - g + 96. Let y = -192 + 205. Calculate the remainder when g is divided by y.
10
Let g(d) = 2*d + 2. Let l(p) = -2*p**2 + 3*p. Let r be l(3). Let i = r - -11. What is the remainder when i is divided by g(0)?
0
Suppose y - 7 = -3, k = 2*y - 1. Let v = k + -5. Suppose 4*g - 64 = v*o, -2*g + g + 18 = -o. Calculate the remainder when 54 is divided by g.
12
Suppose 13*i - 17 - 7003 = 0. Calculate the remainder when i is divided by 91.
85
Let g(u) = u**2 - 20*u + 57. What is the remainder when g(24) is divided by 27?
18
Let t(x) = 23*x**2 - 5*x**2 - 19*x - 22 + x**3 + 27. What is the remainder when 56 is divided by t(-19)?
1
Suppose 0 = -0*c - 4*c + 12. What is the remainder when (-28)/(-4) + 0 + (14 - 6) is divided by c?
0
Suppose -3*g = -2*a - a + 318, -3*g = 4*a - 459. Let z = 194 - a. What is the remainder when z is divided by 43?
40
Let x = 23 + -6. Let r = -64 - -66. Suppose -2*c + 110 = r*u, 72 = 4*u - 5*c - 103. Calculate the remainder when u is divided by x.
16
Let y(j) be the second derivative of j**3/3 + 2*j**2 - 2*j. Calculate the remainder when (((-33)/(-6))/11)/((-1)/(-110)) is divided by y(5).
13
Let h = 101 + -67. Suppose 3*t = -w - 0*w + 23, -2*w = -4*t + h. What is the remainder when 15 is divided by t?
7
Let x(p) = -p**3 + 13*p**2 - 9*p - 43. Calculate the remainder when x(10) is divided by 51.
14
Suppose 4*m - 5*c = 131, -c + 15 = -6*c. Suppose 0*l + 2*l - x = 16, 0 = -5*l + 3*x + 40. Calculate the remainder when m is divided by l.
5
Let p be 5/(-5)*(-8)/2. Suppose -2*j - 3*n = -169, -p*j + 4*n + 239 = -49. What is the remainder when j is divided by 39?
38
Suppose -140 = -29*t + 24*t. What is the remainder when 29 is divided by t?
1
Suppose -s - 2*o = -14, 4 = -11*o + 15*o. Calculate the remainder when 49 + -2 + 3/(-3) is divided by s.
10
Suppose n - 3 = -2, x + 9 = -2*n. Suppose -5*y = 4*g - 37, -9 = -4*y - 2*g + 23. What is the remainder when y is divided by (x + 1)*6/(-10)?
3
Suppose -14 = -4*m + 2*z, 2 = 3*m + z - 1. Suppose -4*n + 12 = -8*u + 3*u, 2*n + 4*u - 32 = 0. What is the remainder when n is divided by m?
0
Let f = -1166 - -1589. What is the remainder when f is divided by 51?
15
Let s(u) = 10*u + 31. Let h be s(-13). Let f = h + 174. Calculate the remainder when f is divided by 26.
23
Let d(x) = -x**3 + 3*x**2 + 11*x - 2. Let v be d(5). Suppose v = -u + 12. What is the remainder when 10/(-4)*(-44)/5 is divided by u?
4
Let n = 1812 - -390. What is the remainder when n is divided by 105?
102
Suppose 2*i = -11 + 37. Let d(f) = 11*f**2 + 3*f + 1. Let k be d(-2). Let w = k - 3. Calculate the remainder when w is divided by i.
10
Let k(n) = n**3 - 2 + 5*n**2 + 2 - 15*n + 2 - 3. Suppose 2*m - 4 + 0 = 0. What is the remainder when k(-7) is divided by m?
0
Let x = 79 + -71. Calculate the remainder when 7/(-4) + 1 - (-286)/x is divided by 4.
3
Let g = -3 + 7. Suppose -6 = -5*u + g. Suppose 2*q = u*i + 46, 0 = q - 0*q + 4*i - 28. What is the remainder when 95 is divided by q?
23
Suppose -46 = -o + v + v, 5*o + 2*v - 170 = 0. Suppose x - 12 + 2 = 0. Calculate the remainder when o is divided by x.
6
Suppose 2*m - 16 + 22 = 0, 2*z - 87 = 5*m. Suppose -3*n + 0*n = -204. Calculate the remainder when n is divided by z.
32
Let a(y) = -y**3 + 7*y**2 + 7*y + 10. Let p be a(8). Suppose -p*n + n = 0. Suppose n = -4*o + 9*o - 25. What is the remainder when 17 is divided by o?
2
Let n(z) be the third derivative of z**5/60 + z**4/24 + z**3/3 + 3*z**2. Let i be n(0). Suppose -i*q = q - 171. What is the remainder when q is divided by 20?
17
Let c(g) = 8*g**2 - 2*g**2 + 6*g**2. Suppose 31*y - 738 = 657. Calculate the remainder when y is divided by c(1).
9
Let w be 2/1 + 120/6. Let k = w - 8. What is the remainder when 39 is divided by k?
11
Let f(x) be the first derivative of x**3/3 + 5*x**2/2 - 7*x + 6. Let o = -33 - -48. Calculate the remainder when f(6) is divided by o.
14
Let t = 92 + -44. Suppose 3*d = -d + t. Calculate the remainder when 46 is divided by d.
10
Let l = -199 + 211. Calculate the remainder when 249 is divided by l.
9
Suppose 30 = 2*o - 0*o. Let p(y) = 23 - 12*y**2 + 1 + y**3 - 5 - 14*y. What is the remainder when o is divided by p(13)?
3
Suppose a - 10 = -4*d + 241, -2*a + 2*d = -502. Calculate the remainder when a is divided by 28.
27
Suppose -592 = -19*r + 11*r. What is the remainder when 362 is divided by r?
66
Let a = 113 + -45. Calculate the remainder when a is divided by 35.
33
Suppose 0*z - 5*z = 5, 865 = 5*m + 5*z. Suppose -c + m = c. Suppose -2*p + 90 = 3*p. Calculate the rema