a?
0
Let u(m) = m**3 + 8*m**2 + 11*m + 43. Let a = 1 + 4. Suppose 6*i - 56 = a*i. Calculate the remainder when i is divided by u(-7).
11
Let s(a) = 11*a - 202. What is the remainder when 624 is divided by s(37)?
9
Suppose 3*p = -9 - 6, 73 = 2*j - 5*p. Let i = 53 - j. What is the remainder when i is divided by 16?
13
Suppose 0 = 4*y - 4*z - 24, 3*z + 0*z = y - 10. Suppose -b + y*b - 2181 = 0. Suppose 7*a - b + 69 = 0. What is the remainder when a is divided by 32?
30
Let s(x) = -11*x + 62. Let g(r) = 1. Let c(n) = -3*g(n) - s(n). Calculate the remainder when c(21) is divided by 37.
18
Suppose 15*p = 11*p + 236. Suppose x - 4*a = p, -x + 18 = a - 36. Calculate the remainder when x is divided by 7.
6
Suppose 0 = -r - 2*n - 0*n + 35, 4*r + 5*n = 125. Let f(k) = k**3 - 12*k**2 - 21. Calculate the remainder when f(13) is divided by r.
23
Suppose 16*v - 12*v = 752. Let s(w) = w**2 - 50*w + 296. What is the remainder when v is divided by s(44)?
28
Let k be (-3)/(-30)*5*-2. Let o(g) = 80*g**2 - 1. Let d = -84 + 104. Calculate the remainder when o(k) is divided by d.
19
Let l(m) = -m**2 + 7*m + 3. Let s be l(8). What is the remainder when 6 + -9 + 9 - (0 + 1) is divided by 276/60 + (-2)/s?
0
Let g = -5358 + 5370. Calculate the remainder when 2194 is divided by g.
10
What is the remainder when 942 is divided by -7 - (716/12 - 0)/(19/(-57))?
82
Let p = -7925 + 7956. Suppose 2*y - 33 = -5*n, 3 + 14 = 3*n + 4*y. What is the remainder when p is divided by n?
3
Suppose -9*g - 130 = -5*t - 4*g, -3*t = 3*g - 78. What is the remainder when 409 is divided by t?
19
Suppose 0 = -3*d - 2*w + 118, 138 = 3*d + 70*w - 73*w. Calculate the remainder when 835 is divided by d.
37
Let j = 662 - 594. Calculate the remainder when j is divided by 60.
8
Let l = -82 - -68. Let d(j) = j**3 + 13*j**2 - 21*j - 20. Let s be d(l). Let c = s - 52. Calculate the remainder when 77 is divided by c.
25
Let d = 15748 - 14721. What is the remainder when d is divided by 142?
33
Let o = 4 + 30. Suppose -2*d + j = 4*j - 42, 0 = -2*d - 5*j + o. What is the remainder when 147 is divided by d?
12
Suppose -27*l + 169 + 47 = 0. Calculate the remainder when (-53423)/(-164) + 2/l is divided by 22.
18
Let x = -287 - -1813. What is the remainder when x is divided by 51?
47
Suppose 2*u - 40 = -30, -5*a + u + 35 = 0. What is the remainder when 836 is divided by a?
4
Suppose 2*c = f + 112, 0 = -2*c + 45*f - 40*f + 128. What is the remainder when 471 is divided by c?
39
Let w = -12209 - -12243. Calculate the remainder when 78 is divided by w.
10
Let o(y) = -y**3 - 17. Let a be o(0). Let u = -10 - a. Suppose 22*b - 17*b = 2*m - 63, 0 = -2*m - 3*b + 23. What is the remainder when m is divided by u?
5
Let f = 137493 - 137474. What is the remainder when ((-2)/(-4))/(1/334) is divided by f?
15
Let j = -9 + 57. Let k = j + 12. Suppose 17*d - k = 5*d. What is the remainder when 7 is divided by d?
2
Suppose 8*i = d + 28715, -9*i + 12*i - 3*d - 10776 = 0. Calculate the remainder when i is divided by 10.
9
Suppose -w + 12 = -0*w. Calculate the remainder when -3*(-315)/(-27)*-2 is divided by w.
10
Suppose -m = -2, -b + 2*b = -4*m + 611. Suppose -24*a + 1893 + b = 0. Calculate the remainder when a is divided by 18.
14
What is the remainder when (-20 - 0)*(15 - -2)/((-4)/5) is divided by 151?
123
Suppose 0 = -2*d + 2*y + 57 + 249, d = -3*y + 161. Suppose d = 6*z - 115. Calculate the remainder when 178 is divided by z.
43
Let c(k) = 4*k + 48. Let t be (-3 - (-54)/30)/((-2)/(-10)). What is the remainder when 159 is divided by c(t)?
15
Let m(b) = b**3 - 12*b**2 + 4*b - 21. Suppose 78 = -4*p + 306. Let f = 69 - p. Calculate the remainder when 80 is divided by m(f).
26
Suppose 6*j - 237 = 81. Suppose 0 = 100*g - 95*g + z - 89, -5 = 5*z. What is the remainder when j is divided by g?
17
Let g(f) = 2*f**2 + 116*f + 125. What is the remainder when 49 is divided by g(-57)?
5
Let s(d) = -8*d + 66. Let i be 6/(-1)*(-18)/36. Calculate the remainder when 163 is divided by s(i).
37
Suppose 19 = 11*l - 14. Suppose -z + l = -0. Suppose -j + z*j - 32 = -2*t, 0 = -3*j + 5*t + 56. What is the remainder when j is divided by 12?
5
Let p(z) = 130*z + 1. Suppose 748 = 32*q - 10*q. Let h = 10 + q. What is the remainder when p(2) is divided by h?
41
Let m = -1438 - -2124. What is the remainder when m is divided by 86?
84
Let v be (5673/(-124))/((-6)/8). Suppose 0 = -32*y + 34*y + 4*d - 10, -v = -5*y + 2*d. What is the remainder when y is divided by 7?
4
Let f be -4 - ((-948)/9)/((-2)/6). Let m = 375 + f. Calculate the remainder when m is divided by 14.
13
Let h(n) = -6*n - 36. Let c be h(-7). Let o be ((-2130)/(-10))/(c/4). Calculate the remainder when 6/(-2) + (-3)/(-3)*o is divided by 24.
19
Let p be 6 - 5/20*4. Suppose p*u - 245 = -5*k + 50, 5*k + 145 = 3*u. Let y = -34 + 48. What is the remainder when u is divided by y?
13
Let b(k) = -7*k + 3*k**2 + 18 + 0*k + k**2. Let p be b(4). What is the remainder when (-7 - -3) + 8 + p is divided by 15?
13
Let n(o) = -o**2 + 7*o + 10. Suppose -2 = -2*r + 12. Suppose 8523 = -2060*b - 2919 + 108262. What is the remainder when b is divided by n(r)?
7
Let a(r) be the third derivative of r**6/60 - r**5/60 + r**4/24 - r**3/3 + 5*r**2. Calculate the remainder when a(3) is divided by 4/54 - (-25 + (-872)/(-108)).
12
Let h(q) = q**3 - q**2 - 58*q + 13. Let v be (-4 - -7)*(5 + -2). What is the remainder when h(v) is divided by 28?
27
Suppose -997 = -94*b - 245. Calculate the remainder when 1231 is divided by b.
7
Suppose -206 = -n + f, -n + 2*f + 3*f + 210 = 0. Let q(z) = -20*z + 159. What is the remainder when n is divided by q(7)?
15
Suppose 3*l = 11*n - 16*n + 33546, 0 = -2*l + 4. Calculate the remainder when n is divided by 10.
8
Let n(q) = 4*q**2 - 188*q - 554. Calculate the remainder when 409 is divided by n(-3).
41
Suppose -2*n + 1 = 5*f, n - 5*f - 13 + 5 = 0. Calculate the remainder when 56 is divided by n.
2
Suppose -2*v = 2*p - 54, 0 = -6*v - 2*p + 117 + 25. Calculate the remainder when 11151 is divided by v.
19
Let x = 419 - 136. Suppose -42*u + 45*u + 4*i - 215 = 0, -142 = -2*u - 3*i. Suppose 0 = 4*o - u - x. Calculate the remainder when o is divided by 31.
28
Suppose 27*j + 3182 = 31*j + 5*f, 2*f = -2*j + 1592. What is the remainder when j is divided by 5?
3
Suppose -4*a + 11 = -9. Let u be (1095/12)/a - 2/8. Suppose -p - p + u = -2*v, 0 = -2*v - 6. What is the remainder when 8 is divided by p?
2
Let k(j) = -11*j - 12. Let u be k(-2). Suppose -3*r + 3*i = -81, -u*r + 2*i = -6*r - 100. What is the remainder when 105 is divided by r?
13
Let o = 6 - 10. Let m(w) = -w**3 - 2*w**2 + 4*w - 5. What is the remainder when m(o) is divided by 4 - (-7 + -4 + 6 - -2)?
4
What is the remainder when 0 + (-6 - -13) + 1153 + -11 is divided by 8?
5
Let c be -6 + 4 - (-8 - -1). Let w be 0/(-1 + 20/c). Suppose -5*i + 87 + 28 = w. What is the remainder when 136 is divided by i?
21
Suppose 52*p = -3960 + 38540. Calculate the remainder when p is divided by 25.
15
Suppose 0 = -0*q + 5*q - 1340. Let v = 117 - 117. Let u(y) = 6*y + 54. What is the remainder when q is divided by u(v)?
52
Suppose 165*g - 1636 = 164*g. What is the remainder when g is divided by 91?
89
Let t = 344 - 339. What is the remainder when (-42)/(-9)*(t + 28/7) is divided by 22*((-2)/4)/(-1)?
9
What is the remainder when 2735 is divided by (65/2 + -4)*120/45?
75
Suppose -61 = -4*m - h, 4*m = -5*h + 27 + 22. What is the remainder when 17 is divided by (24/m)/(3/18)?
8
Suppose 1608 = 2*g - 10*h + 11*h, -4*h = 0. Calculate the remainder when 757 is divided by g/24 - 2/4.
31
Let a(v) = 39*v + 273. Let l be a(6). Suppose -l - 253 = -20*j. Let y = 27 + -14. What is the remainder when j is divided by y?
12
Suppose o = -2, -27*n + 22*n + 1722 = 4*o. Calculate the remainder when n is divided by 29.
27
Let t be (-1 + 7)/3 + 842. Let y be 40/180 + t/9. Suppose 6*c - 4*c = y. Calculate the remainder when 234 is divided by c.
46
Let q = 246 - 410. Let i = 321 + q. What is the remainder when i is divided by 10?
7
Let f = -9028 - -9049. What is the remainder when 293 is divided by f?
20
Let c(l) be the first derivative of l**4/4 + 28*l**3/3 - 14*l**2 + 72*l - 78. Calculate the remainder when 124 is divided by c(-29).
38
Let r = -1281 - -2318. Let n be r/153 + (-14