3
Suppose -7328 = -20*x + 952. Calculate the remainder when x is divided by 13.
11
Suppose 0*k + 24 = 3*k. Let o(p) be the second derivative of -p**3/3 + 9*p**2 - 39*p. What is the remainder when o(k) is divided by 1?
0
Let t = 585 + -335. What is the remainder when 74 is divided by t/8 - 27/108?
12
Suppose -2*u - 7 = -661. What is the remainder when u is divided by 105?
12
Let q(a) = a**2 - a - 110. Calculate the remainder when q(-11) is divided by 17.
5
Let x(o) = o**2 - 43*o - 423. Let z be ((1 - 1)/1)/(-2). Suppose 5*g + 4*f = 653, 3*g + g + 4*f - 520 = z. Calculate the remainder when g is divided by x(-9).
43
Let b = 7229 - 7220. What is the remainder when 1070 is divided by b?
8
Let a = 75 - 71. Suppose -3*r - 3 = -a*r. Suppose -4*k = -8, 2*u = r*k + 2 + 24. What is the remainder when 108 is divided by u?
12
Let s = -3 - -39. Let t = -1118 + 1233. What is the remainder when t is divided by s?
7
Let c = -115 + 166. What is the remainder when 25/(-5)*((-2376)/30)/4 is divided by c?
48
Suppose 7*n + 33 = -2. Calculate the remainder when 153 is divided by (52/5)/((-2)/n*1).
23
What is the remainder when 1123 is divided by ((-384)/208)/(4/(-52))?
19
Suppose 0*p - 3*i - 230 = 5*p, 0 = i + 5. Calculate the remainder when p/((-1)/(-22)*-2) is divided by 17.
14
Let i(j) = j + 34. Suppose -3*p + 0 = -0. Suppose -3*n + 3*m - 1 + 13 = p, 2 = -2*n + 4*m. What is the remainder when i(-5) is divided by n?
2
Let o(h) be the third derivative of h**6/60 + h**5/30 - h**3/6 - 7*h**2. Let b be o(1). What is the remainder when 53 is divided by 13 + b/((-9)/12)?
8
Suppose 35 + 57 = 4*n. Suppose 48*a + 70*a - 2339 = 10995. What is the remainder when a is divided by n?
21
Let r = 68 - 73. Calculate the remainder when r/((-120)/(-42))*-4 is divided by 3.
1
Let w = -8 - -13. Suppose 28 = 2*q + 3*y, -q - 4*y = -w - 4. Suppose -2*o = -15 - 65. Calculate the remainder when o is divided by q.
6
Suppose -h - 27 = -2*s, 0 = -2*s - 2*h + 14 + 4. Calculate the remainder when 34 is divided by s.
10
Let f(g) = -3*g**3 - 5*g**2 - g + 3. Suppose -6*x + x + 5*u = -30, -x = 3*u - 2. Calculate the remainder when f(-3) is divided by 3/((-1270)/260 + x).
16
Let q(h) = -h**2 - 21*h + 159. Let o be q(-38). Let n = o - -497. What is the remainder when 16 is divided by n?
6
Suppose 0*m + 158 = 2*m + 2*y, -4*y + 16 = 0. What is the remainder when 2547 is divided by m?
72
Let s = 202 + -200. Suppose 5*c = s*n - 106, -9*c + 13*c - 232 = -5*n. Calculate the remainder when 94 is divided by n.
46
Suppose 1829 - 7085 = -73*m. Calculate the remainder when 1818 is divided by m.
18
What is the remainder when 640 is divided by (254/(-5))/((26/(-325))/(5/5))?
5
Let m(q) be the second derivative of -q**5/10 + 3*q**4/4 + q**3 + 3*q**2 - 10*q. Suppose 98 = 4*u - 70. What is the remainder when u is divided by m(5)?
9
Let q(r) = r**3 + 7*r**2 - 17*r - 67. Let p be q(-8). What is the remainder when (p - (6 - 51)) + 6 is divided by 23?
10
Let a = 3284 + -3067. Calculate the remainder when a is divided by 102.
13
Let g(r) = r**2 - 14*r + 11. Suppose k - 2*n = 53, -2*k + n + 108 = -2*n. Suppose k - 71 = -o. What is the remainder when g(o) is divided by 8?
3
Let x = -3799 - -3915. Calculate the remainder when x is divided by 44.
28
Suppose -214*s + 208*s = 432. Calculate the remainder when 257 is divided by (-1422)/s - (-2)/8.
17
Let l = -1150 - -2990. What is the remainder when l is divided by 607?
19
Suppose 3*w - 10 = -2*w. Let s(p) = 16*p**w + 31 - 29*p**2 - 2*p**3 + 22*p - 34*p**2 - 3. What is the remainder when s(-24) is divided by 26?
24
Let y(t) = 4*t**2 + 13*t - 17. Let r be (-74)/16 + 39/(-104). Calculate the remainder when y(r) is divided by 12.
6
What is the remainder when 17/(-289)*0 + (180 - -4) + -2 is divided by 3*-2*(-63)/6?
56
What is the remainder when 560 is divided by (0 + 15/45)*120?
0
Let v(p) = -11*p - 337. Let u be v(-18). Let i = -122 - u. What is the remainder when 593 is divided by i?
15
Let z = -293 - -316. Suppose -26*u = -4*x - z*u + 255, -2*u - 2 = 0. What is the remainder when x is divided by 22?
19
Suppose 0*x - 608 = -4*x. Suppose -4*n = -x - 36. Suppose -5*d + r + 60 = -4*r, 0 = -5*r + 25. Calculate the remainder when n is divided by d.
13
Let g(j) = -301*j + 1283. What is the remainder when g(4) is divided by 47?
32
Let b(s) be the third derivative of 1/3*s**3 + 0*s + 1/12*s**4 + 0 + 6*s**2 - 19/120*s**6 + 1/60*s**5. Calculate the remainder when b(-1) is divided by 12.
8
Suppose 203*u - 15337 - 13740 = 16192. What is the remainder when u is divided by 76?
71
Let m = 59 - 37. Let r = -12 + m. Suppose 0 = -1166*k + 1779*k - 1839. Calculate the remainder when r is divided by k.
1
Suppose -38*q = -30*q - 224 - 1256. What is the remainder when q is divided by 10?
5
Let q(z) = 2*z**2 - 4*z + 27. Suppose -3*m + 6 = 4*k - 7*k, 20 = 2*m + 2*k. Calculate the remainder when q(m) is divided by 7.
5
Suppose 195*u = 173*u + 490974. What is the remainder when u is divided by 90?
87
Suppose 199*o - 225*o = -12090. Calculate the remainder when 936 is divided by o.
6
Suppose 3*v = 3*i - 840, -3*i = 201*v - 203*v - 833. Calculate the remainder when i is divided by 51.
18
Suppose 3*d - 5*o - 482 = 0, 3*d - 6*o + 93 - 573 = 0. What is the remainder when d is divided by 2?
0
Let t(b) = 19*b + 1086. What is the remainder when 326 is divided by t(-50)?
54
Let h = 33 + 57. Let k = h + -84. Suppose -58*x = -63*x + 110. What is the remainder when x is divided by k?
4
Suppose z = -3*z + 44. Suppose -z*v + 12 = -7*v. Suppose 5 = 4*b - 3*y, 6 = v*b - 3*y + 3. Calculate the remainder when 2 is divided by b.
0
Let b = 4278 + -4218. What is the remainder when 660 is divided by b?
0
Let n(x) = x**3 - 5*x**2 - 2*x - 16. Suppose 0 = 2*r + 18 - 30. Calculate the remainder when 35 is divided by n(r).
3
Let x(o) = 4*o + 25. Let h be (-1)/3 + (-44)/12. Let j(l) = -l**3 - 9*l**2 + 7*l - 5. What is the remainder when j(-10) is divided by x(h)?
7
Suppose 4*m - 51 - 568 = -3*r, -5*m + 1040 = 5*r. Calculate the remainder when r is divided by 8.
5
Suppose -64 = -4*y + 3*y. Let i = 379 - 396. Let g = -11 - i. Calculate the remainder when y is divided by g.
4
Let h = -194 + 203. Suppose -h = -a - 4*q + 46, 0 = 5*q - 20. Calculate the remainder when 124 is divided by a.
7
Let m(v) = v**2 - 7*v + 12. Let n be m(8). Suppose -4*r - r + n = 0, 5*p = -2*r + 33. Calculate the remainder when 65 is divided by -4 - (p - 1 - 42).
31
Suppose 640*v - 618*v + 4472 = 21280. What is the remainder when v is divided by 51?
50
Let z be (2/2)/(2/(-14)). Calculate the remainder when (-9)/(-63) + (-48)/z is divided by (2 + 0)/2 + 2.
1
Let j(i) = -39*i**3 - 2*i**2 - i. Let l be j(-1). What is the remainder when (740/8)/(10/4) is divided by (-8)/(-16) + l/4?
7
Let w = -19714 + 21914. Calculate the remainder when w is divided by 314.
2
Let g be 4 + (-8 - (2 + -6)) - -4. Suppose g*i - 80 = -5*x + 97, 2*i - 105 = -3*x. Calculate the remainder when 296 is divided by x.
32
Suppose -25 = 5*p, 56*p = 5*b + 60*p - 35. Calculate the remainder when 2419 is divided by b.
10
Suppose -35*x - 234 + 2334 = 0. Let f be 3 + 35 + (-6)/2. Calculate the remainder when x is divided by 1 + f - 2 - 3.
29
Let v(q) = 3*q**2 + 42*q + 16. Let f(x) = -2*x**2 - 21*x - 8. Let n(m) = -5*f(m) - 2*v(m). Calculate the remainder when n(-12) is divided by 84.
80
Let b = 114 - 77. Let s = 43 - b. What is the remainder when s is divided by 5?
1
Let y = -5483 - -7309. Calculate the remainder when y is divided by 107.
7
Calculate the remainder when 97 is divided by (-1*2/6 + (-100)/6)*-3.
46
Let w(q) = 2*q**2 + 38*q - 20. What is the remainder when w(-23) is divided by (-70)/(5/(-5) + -1)?
24
Let k(i) = i**3 - 3*i**2 - 5*i - 3. Let x = 361949 - 361938. Calculate the remainder when k(5) is divided by x.
0
Suppose -y + 50 + 16 = 3*r, -5*r + 236 = 4*y. What is the remainder when 441 is divided by 2/(36/670) - 12/y?
34
Let c = 6 + 33. Calculate the remainder when c is divided by (-1)/(-4) - (498/(-24) + 8).
0
Let t(u) = 130*u - 5060. Calculate the remainder when 7207 is divided by t(39).
7
Suppose -11*d = -626 + 3321. Let i be ((-21)/2)/((-3)/4). Calculate the remainder when 69 is divided by 2/4 - d/i.
15
Suppose -j + 0*g = -g - 249, 2*g - 4 = 0. What is the remainder when 513 i