is the remainder when 2841145/413 - (20/(-28) - -1) is divided by 32?
31
Suppose -2*k + 348 = b, 2*b - 6*k + 5*k - 691 = 0. Suppose -10 = -5*s, 4*y - b = -11*s + 16*s. What is the remainder when y is divided by 13?
11
Let q = -32 - -45. Suppose -q*x + 8*x + 375 = 0. What is the remainder when x is divided by (-9 - 4 - -10) + 23 + -1?
18
Let n = 2370 - 2240. Calculate the remainder when 386 is divided by n.
126
Suppose -1 = 5*i - 11. Suppose -2*w + 55 - 3 = i*n, n + 154 = 5*w. Let m(g) = -g**3 - 5*g**2 - g + 14. Calculate the remainder when m(-6) is divided by w.
26
Let f be ((-3)/4)/(11/748). What is the remainder when (-31)/(-93)*f/(-1) is divided by 6?
5
Suppose 16*v - 49*v = v - 28016. What is the remainder when v is divided by 13?
5
Let i be -1*(-1 - 0) - (1 - 5). Suppose 35 = i*j - 15. Calculate the remainder when 29 is divided by j.
9
Suppose -3*z + 4*i = 3*i - 7, 0 = -2*z + 2*i + 6. Calculate the remainder when 51 is divided by 6/12 - (-31)/z.
3
Let m(b) = 2*b**2 + 16*b + 18. Suppose -5*i + 437 = -2*h + 1221, -5*h - 3*i + 1960 = 0. Calculate the remainder when h/12 + 1/3 is divided by m(0).
15
Suppose 537 = 4*r - 10*u + 7*u, r - 140 = -5*u. Suppose -131 = t - r. Let i(n) = 9*n - 6. Calculate the remainder when i(4) is divided by t.
2
Calculate the remainder when (-1)/((-5)/2) + (-50967)/(-45) is divided by 282.
5
Suppose -4*n = o - 128, -16*o + 20*o - 3*n - 493 = 0. Calculate the remainder when o is divided by 21.
19
Let t = 29401 + -29386. Calculate the remainder when 171 is divided by t.
6
Let l = 257 + -927. Suppose 6*w - 283 + 133 = 0. What is the remainder when (l/w)/((-6)/15) is divided by 18?
13
Let h be 1310/(-2) - (32/8 + 0). Let t = 681 + h. Calculate the remainder when (-181)/(-3) - 2/6 is divided by t.
16
Let b = 16242 - 16232. What is the remainder when 717 is divided by b?
7
Let p(z) be the second derivative of 2*z**4/3 - z**3/6 + z**2 + 9*z. Let a = 6 - 4. Calculate the remainder when p(a) is divided by 12.
8
Let g(w) = 20*w + 101. Let k be g(-4). Let u(x) = x + 2. Calculate the remainder when (-9 + (-280)/(-42))*-1*k is divided by u(8).
9
Let k(f) = -4*f**2 - 166*f - 88. Calculate the remainder when 785 is divided by k(-40).
25
Let v(k) = -92*k - 3215. Calculate the remainder when 452 is divided by v(-37).
74
Let u(n) = 2 - 5*n + 18*n - 5. Let b be u(4). Let y = b - 27. Calculate the remainder when 107 is divided by y.
19
Suppose 0 = z - 5*h - 79, 17*h - 12*h + 10 = 0. What is the remainder when 339 is divided by z?
63
Suppose -181 - 278 = -m - 16*m. What is the remainder when -2 + -2 + 41 + 1 is divided by m?
11
Suppose -2*r + s + 8307 = 0, 4146 = -17*r + 18*r + 2*s. What is the remainder when r is divided by 1382?
6
Suppose -5*l + 64 + 11 = 0. Let f = -1064 + 1079. Calculate the remainder when f is divided by (-9)/l*(-3 - 2).
0
Suppose -3*r + 670 = -482. Let t be r/18*(-6 + 3). Let w = t + 75. Calculate the remainder when 29 is divided by w.
7
Suppose 0 = 15*f + 9 - 9. Suppose 0 = -a - f*a + d + 50, 0 = -2*a - 2*d + 112. Let k = 38 - 16. What is the remainder when a is divided by k?
9
Let s(z) = -z**2 - 29*z + 24. Suppose -4*m - 12 + 152 = 0. Let p = m - 28. What is the remainder when s(-26) is divided by p?
4
Let y be 23138/207 - (-6)/27. Suppose -y = -2*z + 2*d, 4*z + 3*d - 4*d = 221. What is the remainder when z is divided by 31?
24
Suppose -15*y - 130 = -28*y. Calculate the remainder when y is divided by 6.
4
Suppose 4*f - 2 - 30 = 0. Suppose 4*z + 8*l - 48 = 3*l, 0 = 2*l - 8. What is the remainder when z/(-1 + 50/45) is divided by f?
7
What is the remainder when (-10)/((-640)/(-8)) - (-1 - (-5307)/(-24)) is divided by 73?
3
Let t = -744 - -776. Let d = 98 + -77. What is the remainder when t is divided by d?
11
Suppose -6*v = -4*v + 56*v - 452400. What is the remainder when v is divided by 17?
14
Let n(v) = -8*v - 7. Let t = 45 + -56. Let l = t - -90. Calculate the remainder when l is divided by n(-6).
38
Let r(p) = -6*p**3 + p**2 + 5*p + 2. Calculate the remainder when r(-3) is divided by 8*(-3)/(-9)*12.
30
Let z be (-48)/9*126/(-8). Let q = -58 + z. Suppose -2*f + v = -40, 5*v - 10 = -579*f + 575*f. What is the remainder when q is divided by f?
11
Let k = 117 + -54. Let q = -305 - -339. Calculate the remainder when k is divided by q.
29
Let i = -65 - -127. Let q(p) = -12*p - 44. Let r be q(-8). Suppose 11*c = r + 124. What is the remainder when i is divided by c?
14
Let t(s) = 117*s**2 + 17*s - 17. Let i be t(1). Suppose 4*g - 12 = 0, -2*g - 54 = -3*l + i. Let n = -5 - -21. Calculate the remainder when l is divided by n.
11
Let o = -11294 - -16343. Calculate the remainder when o is divided by 50.
49
Suppose d - 1360 - 734 = -3*f, 2794 = 4*f + 2*d. Calculate the remainder when f is divided by (70 - 23 - 49)/(-1 + (-66)/(-70)).
32
Suppose 2*f = -5*q + 3*f + 370, -f = 0. Let j(g) = -5*g + 76. Let w be (-1)/((6 + (-595)/100)*-2). What is the remainder when q is divided by j(w)?
22
Let n = -2451 + 2853. What is the remainder when n is divided by 26?
12
Suppose 0 = 16*y - 2*y - 42. What is the remainder when (y/(-3) + (-2)/(-1))*131 is divided by 34 - (-2)/(-4)*2?
32
Let q be -11 + 9 + 9 + 1. Let v(p) = -p**3 + 13*p**2 - 7*p - 18. Let i be v(12). Let t = i - q. Calculate the remainder when 134 is divided by t.
32
Suppose -25*c - 17*c + 1184 = -370. What is the remainder when 412 is divided by c?
5
Let v(t) = 8*t - 323. Let i be v(41). Suppose 290 = i*l - 5*f - 275, -l = 5*f - 101. Calculate the remainder when l is divided by 38.
35
Let h(p) = -p**2 - p - 8. Let s(y) = -y**2 - 3*y - 15. Let x(w) = -5*h(w) + 3*s(w). Calculate the remainder when 62*(28/(-8) + 4) is divided by x(4).
9
Suppose -h = -3*h + 70. Let u(a) = -a**3 - 12*a**2 - 16*a - 23. Let m be u(-10). Calculate the remainder when h is divided by 24/(-3) + m/(-3).
9
Let n = 99 - 112. Let j(d) = 2*d**2 + 16*d - 41. What is the remainder when j(n) is divided by 24?
17
Suppose 4*p + 3*l = -40, -5*p - 55 - 6 = l. Let b(v) = -10*v - 109. What is the remainder when 41 is divided by b(p)?
20
Suppose -5*s = -0*s - 680. Let c = 54492 + -54486. Calculate the remainder when s is divided by c.
4
Let m = -13341 + 13482. What is the remainder when 755 is divided by m?
50
Let o(z) be the first derivative of 47*z**2/2 - 2*z - 32. Let i be o(1). Suppose a - 6 = -a, a - i = -2*u. Calculate the remainder when 45 is divided by u.
3
Let o = 10230 - 4030. What is the remainder when o is divided by 9?
8
Suppose 57 = 3*o - 4*q, -3*q + 19 = -3*o + 4*o. Suppose 2*f - 107 + o = 0. Calculate the remainder when 351 is divided by f.
43
Let l(x) = -3*x**3 + 4 + 5*x - 4*x**2 + 2*x**3 + 0*x**3 + 5. Calculate the remainder when l(-6) is divided by 4.
3
Let y(v) = v**3 + 17*v**2 + 38*v - 5. Suppose -52*t - 28 = -50*t. What is the remainder when 146 is divided by y(t)?
44
Let y(a) = 22*a - 486. What is the remainder when 606 is divided by y(27)?
66
Let o(n) = 1295*n**2 + 24*n + 20. What is the remainder when o(-1) is divided by 37?
33
Suppose -5*j + 518 = -5*p + 1363, -p + 5*j = -161. Calculate the remainder when 530 is divided by p.
17
Let m(v) = -498*v**3 + v**2 + 2*v + 3. Let f be m(-1). Suppose 5*j + 115 = f. Calculate the remainder when 611 is divided by j.
72
Let g(n) = n**3 + 20*n**2 + 10*n - 120. Let u be g(-17). Suppose 37*z - 3197 = u. Calculate the remainder when 402 is divided by z.
96
Let l = 263 + -164. Calculate the remainder when 203 is divided by l.
5
Let o(i) = 2*i**2 + i**2 - 20*i - 2*i**2 - 8. Let h be (-153)/34 - 10/4 - -28. What is the remainder when o(h) is divided by 9?
4
Let q = -6949 + 6961. Calculate the remainder when 1127 is divided by q.
11
Suppose 2*w - 118 = -108. Suppose 3*p - w*p + 838 = 4*j, 0 = 4*j - 3*p - 833. Calculate the remainder when j is divided by 0 + 19 + 6/3.
20
Let l(f) = 15*f**2 - 265*f - 1320. What is the remainder when l(-5) is divided by 55?
50
Let w(a) = 354*a + 38626. Let y(h) = 3*h**2 - 4*h - 4. What is the remainder when y(8) is divided by w(-109)?
36
Let r(q) = q**2 - 10*q - 11. Let w be r(12). Suppose -w = -l - 0*l. Let j(o) = o**3 - 14*o**2 + 2*o - 4. What is the remainder when j(14) is divided by l?
11
Suppose 7 = 5*x - 8. Suppose 67 = x*q + a, 2*q + 3*a - 25 = q. Let p = -6387 - -6450. What is the remainder when p is divided by q?
1