 when a is divided by w.
15
Let k(p) = 2*p + 2. Let c = -13 - -31. Calculate the remainder when 112 is divided by k(c).
36
Suppose u = 6*u - 110. Let i = 148 + -142. What is the remainder when u is divided by i?
4
Suppose p = 3*q + 8, -p = -5*p + 8. What is the remainder when 30 is divided by (8 + -6)/(q/(-8))?
6
Let z = -1 + 3. Suppose 4*m = z*m + 16. Suppose t = 5*w + 15, -w = -3*t + 69 - 10. Calculate the remainder when t is divided by m.
4
Suppose 0 = -62*w + 106*w - 352. What is the remainder when w is divided by 2?
0
Suppose -24 = -p + m, -2*m = -9 + 17. What is the remainder when 157 is divided by p?
17
Suppose -9 = -2*o + 37. Let q(z) be the first derivative of z**3/3 + z**2 + 3*z - 1. Calculate the remainder when q(-9) is divided by o.
20
Suppose -4*z - 4*w = -w - 312, 3*z - 2*w - 217 = 0. Suppose z*a + 78 = 78*a. Calculate the remainder when 76 is divided by a.
24
Suppose -10*k + 104 + 86 = 0. What is the remainder when 103 is divided by k?
8
Let i(g) = 2*g**3 - g**2 + 3*g - 2. Let w(f) = 5*f**2 - 4*f - 6. What is the remainder when w(4) is divided by i(2)?
10
Suppose 14 = 2*w - 0*w. Let b = 82 - 88. What is the remainder when (-558)/(-54) - (-2)/b is divided by w?
3
Suppose -16 - 114 = -5*s - 5*m, -12 = 3*m. Calculate the remainder when 52 is divided by s.
22
Let n(x) be the third derivative of -x**4/8 + 13*x**3/6 + 30*x**2. Let p = -17 - -25. Calculate the remainder when n(-5) is divided by p.
4
Let z = 135 + -64. Calculate the remainder when z is divided by 24.
23
Suppose -4*j + 1 = -11. What is the remainder when 88 is divided by ((-31)/2)/(j + (-42)/12)?
26
Suppose -x = 4*u - 6, 4*u - 5*u - 7 = -4*x. Suppose 79 = -r - 3*o, -2*r - 330 = 2*r - 2*o. Calculate the remainder when (u - -3)*r/(-8) is divided by 22.
19
Suppose 0 = -p + 2*s - 13, -3*p + s - 11 = -p. What is the remainder when (-232)/p + 11/(-33) is divided by 13?
12
Let r(w) = -w + 16. Let a be r(7). Suppose x - a = 5. Suppose v + 4*v - 275 = 0. What is the remainder when v is divided by x?
13
Let z(m) = 13*m - 15. What is the remainder when 40 is divided by z(2)?
7
What is the remainder when 59 is divided by 11/(220/(-35))*(-12)/3?
3
Suppose 0 = c + c - 48. Let t(r) = -r**2 - 28*r + 11. Let f be t(-12). Let l = -133 + f. Calculate the remainder when l is divided by c.
22
Suppose -f + 171 = 2*f. Suppose 9 = -4*d + f. Let w = d + -6. Calculate the remainder when 15 is divided by w.
3
Suppose -5*b - 4*d = 12, -5*b - 2*d + 1 - 17 = 0. Let o = 115 - 65. Calculate the remainder when o is divided by 1737/135 + b/(-30).
11
Let v(h) = -4*h - 1. Let i(o) = -7*o - 3. Let l(r) = 3*i(r) - 5*v(r). Let g be l(-8). Suppose g*k - 68 = 2*k. What is the remainder when k is divided by 12?
10
Suppose -47205 = -68*k + 29975. Calculate the remainder when k is divided by 67.
63
Suppose -253 = -7*k - 64. Calculate the remainder when -4 - -3 - 104/(-2) is divided by k.
24
Let x = -116 - -236. Let w = x - 110. What is the remainder when 58 is divided by w?
8
Let n(t) = -3*t - 2. Let u be n(1). Let a = u + 33. Let p = a - -36. Calculate the remainder when p is divided by 22.
20
Let x be (-20)/(-50) + 1299/15. Suppose 0 = -5*v - 2*l + x, 2*v + 5*l = 5*v - 46. Calculate the remainder when 150 is divided by v.
14
Let t(m) = 7*m**3 - 33*m**2 + 20*m - 42. Let h(x) = 4*x**3 - 17*x**2 + 10*x - 21. Let d(f) = 5*h(f) - 3*t(f). What is the remainder when d(13) is divided by 21?
18
Let l be (5 - 0)/(-2 + 1). Let k = l - -8. What is the remainder when 5 is divided by k?
2
Let d(p) = 3*p**2 + 9*p - 11. What is the remainder when 68 is divided by d(-5)?
11
Suppose 4*s = 3*s + 77. Suppose 15 = 2*x - s. Let b = 2515 + -2499. What is the remainder when x is divided by b?
14
Suppose -c = -2 - 7. Suppose 0 = -3*x - c, 6*x = -j + 2*x. Calculate the remainder when 32 is divided by j.
8
Suppose 3*g = g - 6, -j + 5*g + 103 = 0. Let k(l) = -88*l + 455. Calculate the remainder when j is divided by k(5).
13
Suppose -r + 38 = 11. What is the remainder when (3 - 4) + 3 + 7 + 71 is divided by r?
26
Let c = 42 - -13. Calculate the remainder when c is divided by ((-30)/15)/(1/(-15)).
25
Let q(j) = -2*j. Let z be q(4). Let d(h) be the first derivative of h**4/4 + 7*h**3/3 - 5*h**2 - 3*h - 32. What is the remainder when 37 is divided by d(z)?
11
Let f = -503 - -290. Calculate the remainder when 0 - (-2)/((-6)/f) is divided by 12.
11
Suppose -5*k = -4*k. Suppose -5*m + 5 = k, 4*m + 3 - 13 = -2*l. Suppose 0 = 8*t - l*t - 90. Calculate the remainder when t is divided by 7.
4
Let c = -362 - -723. What is the remainder when c is divided by 28?
25
Suppose -268 = -2*c - 3*v, 3*v = -5*c + 227 + 425. Calculate the remainder when c is divided by 49.
30
Suppose -304 = 5*u - 9*u. Let g = u - 5. Calculate the remainder when g is divided by 29.
13
Suppose -3*i + 218 = -4*t, 70 = 3*i + 4*t - 108. What is the remainder when i is divided by 10?
6
Let r(d) = d**3 - 32*d**2 - 69*d + 49. What is the remainder when 26 is divided by r(34)?
11
Let p(q) = -q**3 + 2*q**2 - 3*q + 26. What is the remainder when 101 is divided by p(0)?
23
Let a(m) = -m. Let w be a(-13). Let k = w + -8. Let n = 238 - 224. What is the remainder when n is divided by k?
4
Let y = 394 - 251. Let k(r) = -r**3 - r**2 + r + 36. What is the remainder when y is divided by k(0)?
35
Suppose -3*y = -14*y + 187. Let p = 15 - -48. Calculate the remainder when p is divided by y.
12
Let b = 17 - 15. Suppose 4*r - 36 = 4*h - b*h, 5*r + 4*h = 71. What is the remainder when 20 is divided by r?
9
Let y = 200 - 122. Let z = -33 + y. What is the remainder when 179 is divided by z?
44
Let f be 1 + 71 + 1 - 1. Let c = f + -35. Let j = -215 - -225. What is the remainder when c is divided by j?
7
Let b(h) = 9*h - 33. Let g be b(16). Suppose z + g = 4*z. What is the remainder when z is divided by 14?
9
Calculate the remainder when -5*(-3 + 176*-1) is divided by 69.
67
Suppose -94 = -8*m + 354. Calculate the remainder when 446 is divided by m.
54
Let o = -53 - -5. Let c = o + 54. What is the remainder when 10 is divided by c?
4
Let t(y) = y**3 + 37*y**2 - 12*y + 30. Calculate the remainder when t(-37) is divided by 28.
26
Let l be 3/2*2 + 1. Let r(c) = c + 3. Let n be r(0). Suppose l*b = -0*b + 3*t + 98, -4*b = n*t - 110. What is the remainder when 49 is divided by b?
23
Suppose 2*q - 418 = -5*v, 25*v = 26*v + 3*q - 81. What is the remainder when 177 is divided by v?
9
Let u(s) = -11*s + 428. Calculate the remainder when 186 is divided by u(37).
18
Suppose 1061 = 6*n + 305. What is the remainder when n is divided by 10?
6
Let b = -198 + 234. Calculate the remainder when 47 is divided by b.
11
Suppose -r + j = 2*r + 5, -r + j = 5. Suppose r = 4*t - 5*t + 22. Calculate the remainder when 39 is divided by t.
17
Suppose -j + 55 = -s, -2 + 108 = 2*j - 3*s. What is the remainder when j is divided by 12?
11
Let x = 53 - 48. Suppose 3*z - 3*t - 14 = -5*t, -x*z + 20 = 4*t. What is the remainder when 39 is divided by z?
7
Let l(x) = -32*x - 615. Calculate the remainder when 253 is divided by l(-21).
25
Let f = 2607 + -1696. What is the remainder when f is divided by 57?
56
Let o = -18 + 8. Let m = -6 - o. Suppose 4*i + m = 44. What is the remainder when i is divided by 3?
1
Let z = -31 - -21. Let a = z - -14. Calculate the remainder when 19 is divided by a.
3
Let p = 190 + -171. What is the remainder when 19 is divided by p?
0
Let v = 513 + -493. What is the remainder when 259 is divided by v?
19
Let u = -11 - -13. Suppose -s - 8*s = -279. Calculate the remainder when s is divided by ((-1)/u)/((-3)/102).
14
Suppose 8*o = 2419 - 123. Calculate the remainder when o is divided by 74.
65
Let y be (-2)/4 - (-245)/2. Suppose 4*d = 2*d + y. What is the remainder when d is divided by 1*-15*(-119)/85?
19
Suppose 0 = 11*k - 4*k - 21. Let w = 12 - k. What is the remainder when 23 is divided by w?
5
Suppose -2*k + 197 = -3*r, 0 = -4*k + r + 101 + 278. Let p(z) = z**2 - 2*z - 3. What is the remainder when k is divided by p(-5)?
30
Suppose 2*l + 44 = 4*z, -z - l = 4*l - 11. Let o(r) = -25 + 4*r + 4*r - 5*r. Calculate the remainder when 12 is divided by o(z).
4
Suppose 0*j + 75 = 5*j. Let b = 6476 + -6432. What is the remainder when b is divided by j?
14
Let g = -5 - -16. Suppose 6*h + 534 - 780 = 0. Calculate the remaind