
3
Suppose s = -3*y - 7, -2*s - 3*y = 3*s - 13. Let i = 31 + s. Calculate the remainder when -2 + i/6 - (-55 - 1) is divided by 16.
12
Calculate the remainder when 80 + (-3)/3 - 20/5 is divided by (-270)/(-14) - 6/21.
18
Let o = 24 - 16. Suppose -6*m - 33*i = -34*i - 666, 555 = 5*m - 5*i. What is the remainder when m is divided by o?
7
Let k = 50 - 25. Suppose k = -2*j + 37. Let o = j + 18. What is the remainder when 44 is divided by o?
20
Let y = 44 - 27. Let t(m) = 2*m**2 - 2*m + 8. Let o(l) = l**2 - 12*l - 9. Let u be o(13). Calculate the remainder when t(u) is divided by y.
15
Let y(n) = n**2 + 8*n. Let c be y(-10). Suppose -2*i - c = -6*i. Suppose -i*z = -107 + 42. Calculate the remainder when 47 is divided by z.
8
Let x = 3175 - 3159. Suppose 5*f - f = -12, 2*w = 5*f + 129. Calculate the remainder when w is divided by x.
9
Suppose 3*j + r = 81 + 43, 3*r + 6 = 0. Calculate the remainder when -4 + j/9 - 146/(-6) is divided by 7.
4
Let t(f) = 10*f**2 - 128*f - 642. What is the remainder when 1992 is divided by t(-5)?
8
Suppose 124*u - 9400 + 3944 = 0. Calculate the remainder when 1715 is divided by u.
43
Calculate the remainder when (-49230176)/(-1570) - (-12)/10 is divided by 11.
8
Let s(c) = 628*c - 3189. What is the remainder when s(7) is divided by 399?
10
Let i(f) = f**3 + 10*f**2 - f + 14. Suppose -2*n = 5*p + 26, p - 14 = 5*p + 5*n. Let o be 1/(-3) + 58/p. Calculate the remainder when 47 is divided by i(o).
23
Suppose 17*r - 24 - 61 = 0. What is the remainder when 332 is divided by r?
2
Suppose 659 = -13*n - 1603. Let p = -163 - n. Calculate the remainder when 85 is divided by p.
8
Let g(l) = 4*l**2 - 4*l + 1. Let a be g(3). Let c(b) = b + 9. What is the remainder when c(a) is divided by 29?
5
Let t(g) = 9*g + 325. Calculate the remainder when t(0) is divided by 91.
52
Let b(o) = -2*o - 10. Let k be b(-1). What is the remainder when (-72 - -27)/(6/k) is divided by 23?
14
Suppose 0 = 3862*m - 3839*m - 667. What is the remainder when 424 is divided by m?
18
Suppose -2*w + 37 = o, -4*w + o + 4 = -85. What is the remainder when 161 is divided by w?
14
Let p = 522 + 461. Suppose 26*w - p = 499. Calculate the remainder when w is divided by 20.
17
Suppose 11*l - 92 = 40. Let h = 119 + -38. Calculate the remainder when h is divided by l.
9
What is the remainder when 259 is divided by 54 + (7 - (-81)/18*-2)?
51
Suppose k - 1995 = -k - 33*k. What is the remainder when 276 is divided by k?
48
Suppose y + 2*y - 2*z - 1355 = 0, 5*y = -5*z + 2250. What is the remainder when y is divided by 147?
10
Suppose -3*p - d - 19 = -218, 184 = 3*p + 4*d. What is the remainder when p is divided by 1/(-18)*-45*(-184)/(-10)?
22
Suppose -996 = -5*w - b, 68*w - 62*w - 1194 = -b. What is the remainder when w is divided by 68?
62
Suppose 9 - 384 = -5*t. Let i = -19 + 8. Let d = 27 - i. What is the remainder when t is divided by d?
37
Suppose -3*y = -4*y + 8. Let d(j) = -j**3 + 14*j**2 - 16*j - 3. Let h be d(12). Suppose 0 = -6*m - 15 + h. Calculate the remainder when m is divided by y.
5
Suppose -1315*k + 20230 = -1281*k. Calculate the remainder when k is divided by 50.
45
Let j(n) be the second derivative of -n**5/20 + 7*n**4/6 - n**3/6 - 9*n**2/2 - 43*n - 2. Calculate the remainder when j(13) is divided by 2 - -10*14/4.
36
Let k be (-34)/14 - -2 - 76/(-14). Suppose -69 + 2 = -5*a + 4*u, 3*a + k*u = 18. Suppose 16*f - a*f = 70. What is the remainder when 41 is divided by f?
13
Let d(m) = -m**2 - 30*m + 1972. Calculate the remainder when 1056 is divided by d(26).
24
Let o = 76 - 74. Let d(b) = 5*b**3 + b**2 + 2*b - 1. What is the remainder when d(o) is divided by 12?
11
Suppose 129 = -2*c + 153. Calculate the remainder when 1316 is divided by c.
8
Let i(v) = -3*v**2 - 26*v + 5. Let d be ((4 - 55)/(-3))/1. Suppose -73 = 8*z - d. What is the remainder when i(z) is divided by 12?
4
Suppose 404 = 3*p + 2*v, 3*v = p - 387 + 234. Calculate the remainder when 284 is divided by p.
8
Suppose 0 = -t - 4*v + 195, 0 = -2*t + 3*v + 151 + 250. Suppose -6*g + 137 + t = 0. What is the remainder when 123 is divided by g?
11
Let g = 6 + -1. Suppose 124 + 181 = g*v. Suppose 2 = -5*r + 162. What is the remainder when v is divided by r?
29
Suppose 2*a = -f + 58, 5*a - 68 + 43 = 0. Calculate the remainder when 477 is divided by f.
45
What is the remainder when (-3 - 2) + -1 + 30/(-14)*-1799 is divided by 12?
9
Let v(i) be the first derivative of 9*i**3 - 5*i**2/2 - 2*i + 140. What is the remainder when v(-1) is divided by (-86)/(-8) + 2/8?
8
What is the remainder when 59/(-3)*(2 - 5) is divided by -1*12 + 1 - (-145 - -127)?
3
Let u be (3*(-16)/60)/(-4)*0. Suppose 4*f + 108 - 560 = u. What is the remainder when f is divided by 39?
35
Let w(j) = -j**3 + 14*j**2 + 12*j - 199. Calculate the remainder when 309 is divided by w(13).
57
Suppose 26*t + 379 - 1393 = 0. What is the remainder when 70 is divided by t?
31
What is the remainder when 322 is divided by (80/(-12))/((-46)/2139)?
12
Suppose 17 = 2*f + 7. Suppose -13*z + 8*z = 2*d - 21, 15 = f*d. Suppose -n - z*n = -12. What is the remainder when 7 is divided by n?
1
Let g(j) = j**2 + j + 1. Let v(a) = a**3 - 11*a**2 - 97*a + 34. Let d be v(17). Suppose d = 14*s + 3*s. Calculate the remainder when s is divided by g(-2).
1
Let d(g) = -3*g + 5. Let s(t) = 9*t - 20*t - 6 - 16*t. What is the remainder when s(-3) is divided by d(-11)?
37
Suppose 201 = 49*q - 48*q. Let f = q + -195. Calculate the remainder when 14 is divided by f.
2
Suppose 28*l - 2699 = -935. What is the remainder when l is divided by 16?
15
Let t = -45 - -49. Suppose 0 = -5*r + t*j + 4, 0 = 3*j - 10 - 2. Suppose -3*u = -2 - 7. What is the remainder when r is divided by u?
1
Let q(p) = -2*p**2 + 22*p + 1. Let f(g) = -g**2 + 21*g. Let i(o) = -5*f(o) + 4*q(o). Calculate the remainder when 51 is divided by i(-5).
9
Let u = 2672 + -2656. What is the remainder when 1884 is divided by u?
12
Suppose -4*a = -5*u + 132, -3*u + 0*a + 4*a = -76. Let v = u + -27. Let y(l) = 2*l**3 - l**2. What is the remainder when y(1) is divided by v?
0
Let q(o) = 6*o**2 + 7*o - 15. Let r be q(4). Suppose -232 - r = -d. What is the remainder when d is divided by 7?
5
Let l = -382 + 386. Suppose -l*h + 7*h = 39. Suppose -w - 3*w + 92 = 0. Calculate the remainder when w is divided by h.
10
Let r = 436 + -56. Let c = 551 - r. Calculate the remainder when c is divided by 25.
21
Suppose -89*i = -116*i + 21773 - 6923. Calculate the remainder when i is divided by 12.
10
Let i(d) = 81*d**2 - 710*d + 11. Calculate the remainder when 1085 is divided by i(9).
175
Let x(s) be the third derivative of s**5/60 - 5*s**4/8 + 22*s**3/3 - 27*s**2. Let y be x(6). Calculate the remainder when 54 is divided by (-4 + (-5)/y)*-8.
26
Suppose 0 = o + 54 - 58. Suppose o*c - 11 = -3. Suppose 0 = 2*z - 34 - 18. What is the remainder when z is divided by c?
0
Suppose -83 = -6*z + 56 + 365. Calculate the remainder when z is divided by 55.
29
Suppose 5*j + 2 = 32. Let i(o) = -23*o + 150. What is the remainder when 71 is divided by i(j)?
11
Suppose -13*l + 3*l + 170 = 0. Suppose -5*b - 115 = -5*m, -3*m - b + l = -56. What is the remainder when 190 is divided by m?
22
Let b(o) = 7*o - 39. Let d be b(6). Suppose 61 = 4*j + 3*l, -d*j + 21 = 3*l - 24. What is the remainder when j is divided by 12?
4
Suppose 3*z + 0*z - 54 = 0. Let s = 11960 - 11620. What is the remainder when s is divided by z?
16
Let n = -2627 - -2633. What is the remainder when 33 is divided by n?
3
Let w(k) = 903*k + 2716. Calculate the remainder when 2075 is divided by w(-3).
3
Suppose 20*l - 1120 = 1180. Calculate the remainder when 1051 is divided by l.
16
Let f(r) = 4*r**2 + 304*r - 100. Calculate the remainder when f(-78) is divided by 136.
116
Let p(g) = -3*g**3 - g**2. Let y be p(1). Let x(i) = -930 - 2*i + 909 + i**2 - i - i. Calculate the remainder when 29 is divided by x(y).
7
What is the remainder when 4739 is divided by (-480)/(-4)*((-19)/4)/(-19)?
29
Suppose 13*t = 15*t + 6. Let u(k) = 4*k**2 + 7*k - 1. Let z(f) = 11*f + 6. Calculate the remainder when z(3) is divided by u(t).
11
Let q = -5928 - -5978. Let z(i) = 3*i - 1. Calculate the remainder when q is divided by z(5).
8
Let f(m) = 61*m**2 + 102*m + 101. Calculate the remainder when (-285)/3*(-12)/5 i