pose 334 - 174 = 8*k. What is the remainder when r/5 + 387/5 is divided by k?
17
Calculate the remainder when 5 - 1 - (-102 - -6) is divided by 35.
30
Let u = -691 - -695. Calculate the remainder when 130 is divided by u.
2
Suppose 0 = 11*v + 2*v - 221. Calculate the remainder when 144 is divided by v.
8
Suppose 5*m = 3*k + 2007, 2*k - 806 = -2*m - 0*k. Calculate the remainder when m is divided by 81.
78
Let c(u) = 3*u - 9. Let s be c(7). Suppose 3*y = -i + 19, -s = -4*y + 8. What is the remainder when (3/(-6))/((-3)/90) is divided by i?
3
Let y be 3 - (-2 - 1102 - -1). Suppose -13*s - s + y = 0. Calculate the remainder when s is divided by 42.
37
Let n(z) = -z**2 - 71*z - 63. What is the remainder when n(-64) is divided by 30?
25
Suppose 268 = 4*q - 3*i - 59, 3*q = 2*i + 245. Suppose 3*x - 39 - q = 0. What is the remainder when x is divided by 6?
4
Let z = -51 + 87. Calculate the remainder when z is divided by (2/6)/((-5)/(-2145)*11).
10
Suppose x - 33 = -2*f, -91 = -5*x + 2*x - 2*f. Calculate the remainder when 547 is divided by x.
25
Suppose 0 = 3*a + 4*f - 42, -56 = 4*a - 8*a - 3*f. Let g = -9 - -90. Calculate the remainder when g is divided by a.
11
Suppose -y = -3 - 1. Suppose 3*k - 5*o + 14 = -0*o, -5*o + 28 = y*k. Suppose 0 = 3*s - k*s - 37. What is the remainder when s is divided by 13?
11
Suppose -80*s - 1904 = -97*s. Calculate the remainder when 120 is divided by s.
8
Let n = 62 - 14. Suppose 21*t = 1148 - 385 + 1211. Calculate the remainder when t is divided by n.
46
Let t = 40 + -15. Let c(f) be the first derivative of 14*f**3/3 - 3*f**2/2 - 3*f - 8. Calculate the remainder when t is divided by c(-1).
11
Suppose -2*h + 2*g + 66 = 0, 6*h - 4*h - 3*g - 61 = 0. Suppose -5*c = 4*j - 72, -c - 2*c + h = 2*j. What is the remainder when j is divided by -2*5/(-2) - -2?
6
Let y(i) = 3 + i**2 - 5 + 4 + i**3. Let l be y(0). Suppose -4*q = d - 21, 3*q + d + l = 18. Calculate the remainder when 11 is divided by q.
1
Calculate the remainder when 208 is divided by ((-70)/4)/((-63)/28 - -2).
68
Let i(w) be the first derivative of -7 - 3/2*w**2 - 9*w. Calculate the remainder when i(-18) is divided by 12.
9
Let j(z) be the first derivative of -z**4/4 + 5*z**3/3 - z**2 + 4*z - 2. Let k be j(5). What is the remainder when (-4)/k*(165 - 15) is divided by 26?
22
Let p = 54 - 17. Suppose 7 = -0*l + l. Suppose -o = 3*d - l, 3*o - o = 3*d + 23. Calculate the remainder when p is divided by o.
7
Suppose -24*u = -25*u + 142. Calculate the remainder when u is divided by 50.
42
Let y(p) = -p**2 + 39*p + 20. Calculate the remainder when y(0) is divided by 8.
4
Suppose 4*f + 22 = p, 2*p - 2*f = 41 - 9. Suppose 28*t - 32*t + 32 = 0. Suppose 0 = -t*r + 27 + 301. What is the remainder when r is divided by p?
13
Let f(t) = 3*t**3 - 2*t**3 - 2*t + 9 + 8 - 11 + 2*t**2. Calculate the remainder when 39 is divided by f(0).
3
Suppose 2*q - 9 = 3. Suppose -61 = -o - x, -5*o - 4*x = 132 - 439. Suppose a - 31 = 2*r - 12, -o = -4*a - 5*r. Calculate the remainder when a is divided by q.
5
Suppose 9*z + 211 = 292. What is the remainder when z is divided by 3?
0
Let d(t) = 18*t**3 - 11*t**2 + t**2 + 21*t**3 + 17*t - 40*t**3 - 2. Calculate the remainder when d(-12) is divided by 17.
14
Let w be 68/5 + 15/(-25). Let v = w - -8. What is the remainder when v is divided by (22/7)/(52/182)?
10
Let q = 812 + -785. What is the remainder when 74 is divided by q?
20
Suppose 2*q = 3*p + 230, -344 = 10*q - 13*q + 5*p. What is the remainder when q is divided by 31?
25
Let i(r) be the second derivative of -r**5/20 + 7*r**4/6 - 11*r**3/3 - 9*r**2 + 7*r + 1. What is the remainder when i(9) is divided by 38?
37
What is the remainder when 6/(-39) + 821/13 is divided by 16?
15
Suppose -4*i + f + 224 = -361, 3*i + 2*f - 436 = 0. Let a(l) = -4*l + 25. What is the remainder when i is divided by a(1)?
20
Suppose 4*u - 10 = 2*u. Suppose 3*z + 10 - 4 = -2*o, 0 = -4*o - u*z - 8. Suppose -o*g - 19 = -4*g. Calculate the remainder when g is divided by 10.
9
Suppose 2 + 22 = 3*t. Let d(w) = -w**3 + 9*w**2 - 4*w - 19. What is the remainder when 25 is divided by d(t)?
12
Let f = -797 + 827. What is the remainder when 1317 is divided by f?
27
Suppose 0*w = 4*w + i - 15, -4*w + 3*i + 35 = 0. Suppose -5*y + 167 = 3*u, w*y - 99 = 2*y - 3*u. Calculate the remainder when y is divided by 9.
7
Let g(x) = -x**3 - x**2 + 7*x + 5. Calculate the remainder when g(-8) is divided by 50.
47
Let c = -341 + 352. Calculate the remainder when 27 is divided by c.
5
Suppose 3*a - 17 = -2. Let v(q) be the second derivative of q**4/6 + q**3/6 - q**2 + 2*q. What is the remainder when v(a) is divided by 14?
11
Let v be (-3)/(-6)*2 - 7*-4. Suppose v = 3*z + 2*d, d = 5*z - 2*d - 23. What is the remainder when z is divided by 7?
0
Let d(o) = o**2 - 6*o + 51. What is the remainder when 265 is divided by d(8)?
64
Suppose 4*g + 1 + 15 = -4*a, 3*g + 12 = 0. Suppose 0 = -a*r - 3*r + 12, 2*d = 3*r + 140. What is the remainder when d is divided by 20?
16
What is the remainder when (-7050)/(-14) - 56/98 is divided by 34?
27
Let x(i) be the second derivative of -4*i**3/3 - 7*i**2/2 + 2*i - 2. Calculate the remainder when 9 is divided by x(-1).
0
Let v = -57 - -144. Let z = v + 37. Suppose -b + 3*b - z = 0. Calculate the remainder when b is divided by 13.
10
Calculate the remainder when 84*(-36)/(-30)*20/16 is divided by 109.
17
Let l(o) = -2*o**3 + 71*o**2 - 34*o - 23. What is the remainder when l(35) is divided by 7?
5
Let y be -3 - -75*1*1. Let m = -35 + y. What is the remainder when m is divided by 8?
5
Suppose 4*k - 282 = 3*p, 0*k + 201 = 3*k + 3*p. Suppose -80 = -2*u + 4*q, 3*u + 2*u - 172 = -4*q. What is the remainder when k is divided by u?
33
Suppose -286 = 13*i - 26*i. Calculate the remainder when i is divided by 1.
0
Suppose -3*u = v - 494, 138 + 16 = u - 5*v. What is the remainder when u is divided by 54?
2
Let z(k) = -7*k + 257. What is the remainder when z(24) is divided by 75?
14
What is the remainder when (418/(-2))/(11 + -9 + -3) is divided by 31?
23
Let c(s) = -4*s**2 - 88*s - 23. Calculate the remainder when c(-17) is divided by 11.
9
Suppose -50*w + 30*w + 1600 = 0. What is the remainder when 399 is divided by w?
79
Let n(s) be the third derivative of -s**4/3 - 4*s**3 - 8*s**2. Suppose 0 = -3*y - 1 + 7, -3*a + 274 = -4*y. Calculate the remainder when a is divided by n(-6).
22
Let u = -39 + 98. Let v be (-24)/(-10) - (-6)/(-15). Suppose -2*w + d = -35, v*w = 5*w + 2*d - 70. What is the remainder when u is divided by w?
19
Let n = 45 - 26. Suppose n*a - 70 = 12*a. Calculate the remainder when a is divided by 6.
4
Suppose 0*n + 5*n = c + 11, 1 = n. Let y = c + 27. Calculate the remainder when 40 is divided by y.
19
Suppose 60 = 2*s + 2*m + 4, 5*m + 10 = 0. What is the remainder when 477 is divided by s?
27
Suppose 0 = -4*h + 2*h + 108. Suppose -h - 69 = -3*q. Let x(u) = 7*u - 105. Calculate the remainder when q is divided by x(17).
13
Suppose -18 = -4*t + 2*t. Suppose 0 = d - t + 2. Suppose -11*u = -14*u + 9. What is the remainder when d is divided by u?
1
Let i(a) = a**3 - 16*a**2 - 13*a. Let y be i(17). Suppose 0 = 2*p + 2*p - y. Let g = 28 - p. What is the remainder when 21 is divided by g?
10
Suppose -h = -2*m - 20, 2*m = 4*h - 42 - 44. Calculate the remainder when 151 is divided by h.
19
Suppose 0 = 5*d - 9*d - 212. Let t = d - -107. Let o = t - 33. What is the remainder when 81 is divided by o?
18
Suppose m - 3*a + 6*a - 239 = 0, 4*m + a = 989. Calculate the remainder when m is divided by 106.
36
Let u(j) = -10*j**3 + j**2 - 3*j - 12. Calculate the remainder when u(-2) is divided by 9.
6
Let t(i) = -i**2 - 9*i + 8. Suppose -21 = -f + 3*g + 5, g = 4*f - 115. What is the remainder when f is divided by t(-8)?
13
Let h be (-2)/(-10) - 220/(-25). Suppose 0 = -w + 24 - h. Calculate the remainder when 26 is divided by w.
11
Suppose 5*j = 6*j + 5*c - 23, 3*j + 3*c = 33. Let q be j/40 - 149/(-5). Let l = -5 + q. What is the remainder when l is divided by 9?
7
Suppose -4*n + 143 + 1437 = -v, -2*n + 790 = v. Calculate the remainder when n is divided by 66.
65
Let q(r) = 13*r - 8. Let n be q(8). Suppose -236 = -4*i + n. What is the remainder when i is divided by 28?
27
Let k be -5*(-6)/5 + -4. Suppose -s - 2*c + k = 3, 0 = -4*s + 4*c