at is the remainder when 1*p + (26 - 22) is divided by 31?
26
Let a(m) = -m**3 - 6*m**2 + 4*m - 13. Let x = 101 + -58. Suppose -2*c - 4*y = -1 - 5, 0 = 4*c - 3*y + x. Calculate the remainder when 15 is divided by a(c).
7
Let n = -5622 + 5712. What is the remainder when 6116 is divided by n?
86
Suppose -3*m - 2*m - 43 = -4*d, 5 = 2*d + 3*m. Suppose h - 12 = 3*l, 2*l = 4*h + d*l - 133. Calculate the remainder when (-465)/(-9) + 6/(-9) is divided by h.
24
Suppose 0 = -7*o - 2946 + 12732. Calculate the remainder when o is divided by 11.
1
Suppose 148 + 50 = 3*x. Let g = x - 16. Suppose -51*u + 151 = -g*u. Calculate the remainder when u is divided by 31.
27
Calculate the remainder when 427 is divided by (6/(-15) - 42/(-280))*-428.
106
Let g(p) = 219*p**2 + 18*p + 92. What is the remainder when g(-4) is divided by 47?
46
Suppose -4*j + 12 = -n, -2*j + 4*n + 12 = -4*j. Let z(r) = -79*r**2 + 398*r + 11. What is the remainder when z(5) is divided by j?
0
Suppose 0 = 2*b - 3*u + 3, 3*b + 8*u = 9*u + 6. Suppose 0 = 246*y - 249*y + b*k + 36, -4*k = 16. Calculate the remainder when 669 is divided by y.
5
Let y = 222 - -44. Let j = y - -356. Calculate the remainder when j is divided by 48.
46
Let g = -31366 + 31830. Calculate the remainder when g is divided by 396.
68
Let x(u) = -2*u**2 - 110*u - 726. Calculate the remainder when 1275 is divided by x(-41).
9
Suppose -16*w + 19 + 29 = 0. Suppose w*g = 4*m - 315, 5*m = 10*m - g - 402. Suppose f = -4*f + 70. Calculate the remainder when m is divided by f.
11
Let t = -200 - -218. Suppose 51 = 11*p + t. Suppose 0 = -3*d + 4*d - 4. Calculate the remainder when d is divided by p.
1
Let u = -18477 + 18691. Calculate the remainder when u is divided by 179.
35
What is the remainder when 243 is divided by 44/(-77) - (-5517)/63?
69
Let r(o) = o**2 + 12*o + 30. Let v be r(-6). Suppose -4*u = -2*u - 74. What is the remainder when ((-2)/v)/((-1526)/1533 + 1) is divided by u?
36
Let x(l) = -l**3 - 202*l**2 - 810*l - 6. What is the remainder when 299 is divided by x(-4)?
35
What is the remainder when (-71)/((-15336)/287512) - (2/(-27))/(-1) is divided by 227?
196
Let c(o) = 3*o**2 + o. Let x = -6864 - -7017. Calculate the remainder when x is divided by c(-4).
21
Suppose -5*m + 181 = 3*i, 0 = -0*m + 3*m + 12. Suppose -9*r = -3*d - 7*r + 576, -3*d + r = -573. Calculate the remainder when d is divided by i.
56
Suppose 1508*k = 1478*k + 3720. Calculate the remainder when k is divided by 110.
14
Let g(c) = -9*c + 19. Let z be g(-3). Suppose -270*j = -268*j - z. Calculate the remainder when 85 is divided by j.
16
Let x(k) = k**3 + 8*k**2 + 9*k + 2013. What is the remainder when x(0) is divided by 24?
21
Calculate the remainder when (4349/(-14))/(310/(-4340)) is divided by 34.
31
Let v be 0/(8/(-4))*-1. Suppose v = 2*n + 2, -154 = 5*r - 4*n - 63. Let l = r - -30. Calculate the remainder when l is divided by 5.
1
Let n be (5 - (-72)/(-21)) + (-4)/7. Calculate the remainder when 72 is divided by (-4)/(n/(-8)*41 + 5).
8
Calculate the remainder when 44*(-9)/(-10)*365/438 is divided by 16.
1
Let d = 8 + 1. Suppose 0*p = -d*p - 45. What is the remainder when 110 is divided by 1 + p + 92/4?
15
Suppose -2*k + 3*d + 45 = 0, -4*d = k + 3*d - 14. What is the remainder when 121 is divided by k?
16
Suppose 21 = 3*f - 4*y, -3*f + 21 = y + 2*y. Let q = -32 + 34. Suppose 2*b = -3*x + 4, 0*b - b = 4*x - q. What is the remainder when f is divided by b?
1
Let l(o) = -27*o**2 - 297*o - 84. Calculate the remainder when 676 is divided by l(-10).
118
Let v be (11 + 3)/((-8)/4). Let a(x) = x**2 + 6*x + 16. Suppose 72 = -3*y + 204. What is the remainder when y is divided by a(v)?
21
Suppose -5*p + 146 = -134. Suppose -5*z + 2*d + 50 = 0, 11*z + 40 = 15*z + d. Calculate the remainder when p is divided by z.
6
Let z = 9 - -1. What is the remainder when ((-4)/6)/((-69)/6003) is divided by z?
8
Let j = -5837 + 10108. Calculate the remainder when j is divided by 852.
11
What is the remainder when ((-37)/(7 + -44))/(2/338) is divided by 34?
33
Suppose -2*u + 8 = -0. Suppose u*k = s + 3*k - 12, -66 = -5*s + 3*k. Suppose 16316 - 16076 = 12*v. Calculate the remainder when v is divided by s.
5
What is the remainder when 67 is divided by (-15)/(-6) + (-12)/(-24) + 56?
8
Suppose 0 = -37*y + 60*y - 2484. What is the remainder when y is divided by 55?
53
Let r be 0 - (2 + (-8)/2). Let p = -315 - -315. What is the remainder when (91 - 1) + p/r is divided by 23?
21
Suppose 10805 + 6170 = 97*g. What is the remainder when g is divided by 158?
17
Suppose 0 = 44*m + 1454 - 8714. Calculate the remainder when m is divided by 14.
11
Suppose 12219 - 2198 = 11*x. What is the remainder when x is divided by 19?
18
Let j(p) be the third derivative of -p**6/120 + p**5/5 + p**4/8 + 17*p**3/6 - 3*p**2 - 3*p. Calculate the remainder when j(8) is divided by 15.
12
Let r = -1579 - -2417. What is the remainder when r is divided by 15?
13
Let t(u) = -16*u. Let o be t(-2). Suppose 116 = 3*a + o. Let k = 53 - a. Calculate the remainder when 99 is divided by k.
24
Suppose 3*h - 34 = 2*f, f + 24 + 42 = 5*h. Calculate the remainder when (3/(-6)*-2)/(h/238) is divided by 5.
2
Suppose -58*h = -53*h - 150. Let z(s) = s**3 + 12*s**2 - 9*s + 2. Calculate the remainder when z(-9) is divided by h.
26
What is the remainder when (-2)/3*(-41 + (-7 - -3)) is divided by (-2)/(-11) - (-1410)/110?
4
Suppose -2*k + 14*v = 17*v - 301, 5*k - 2*v = 800. Calculate the remainder when k is divided by 158.
0
Suppose 0 = -16*c - 664 + 4296. What is the remainder when c is divided by 201?
26
Let o(d) = 24*d + 30*d - 52*d + 6. Suppose -7 = u - 94. What is the remainder when u is divided by o(6)?
15
Let a = -11 + 27. Suppose 2*x + 55 - 291 = -2*w, -5*w = -5*x - 630. Calculate the remainder when w is divided by a.
10
Suppose 0 = 3*x - 9 + 21. Calculate the remainder when 5 is divided by ((-8)/x)/(-2) - 4/(-1).
2
Suppose -32 - 94 = 9*w. Calculate the remainder when (-21)/w*((-502)/(-6) + 1) is divided by 32.
31
Suppose -5*t = -3*b - 49, 4 + 2 = 3*t. Let i = b + 76. Suppose -2*x = -2*c - 0*x + 26, -3*x = -2*c + 22. What is the remainder when i is divided by c?
12
Let b(u) = 39*u + 31. Let x be b(6). Let v = 414 - x. What is the remainder when v is divided by 23?
11
Let q(s) = s**2 + s - 3. Let z be q(-3). Suppose -214 = -2*o - a, 2*o - 7*o + z*a + 557 = 0. Let r = -63 + o. Calculate the remainder when 181 is divided by r.
43
Suppose p + 2*g - 16 - 3 = 0, 4*g = -3*p + 53. Let c = 94553 - 94389. Calculate the remainder when c is divided by p.
14
Let f(r) = -r**2 - 11*r - 11. Let h be f(-7). Let l = h - 87. Let n = l + 89. What is the remainder when 62 is divided by n?
5
Suppose 10*t + 1360 = 15*t. Let g(a) = -54*a**3 - 2*a**2 + 1. Let d be g(1). What is the remainder when t is divided by (d/(-2))/(1/2)?
52
Suppose 12*w = 3076 + 1748. What is the remainder when w is divided by 183?
36
Let g(z) = -14*z - 158. Let s be g(-12). Let l(p) = -p**3 + 10*p**2 + 10*p - 34. What is the remainder when l(s) is divided by 38?
28
What is the remainder when 42 - 420/((-546)/26) is divided by 1/2*(-1 + 45)?
18
What is the remainder when 118 is divided by ((-190)/(-1045))/((-8)/(-418))*4?
4
Suppose 0 = 9*h - 659 - 376. Suppose -3*n + 5*l = -h, 9*l - 6*l - 99 = -3*n. Calculate the remainder when 91 is divided by n.
21
Let u = 66 + -71. Let q be 111/(-5) - 1/u. Let r = -8 - q. Calculate the remainder when 23 is divided by r.
9
Let m = 4 + -1. Suppose 5*n = -15, 1 = i + m*n + 2*n. What is the remainder when 472633/5111 + 80/152 is divided by i?
13
Let r(h) = 21*h - 102. Let o be r(5). Calculate the remainder when 199 is divided by (-79 - -84)*(o + -2)*5.
24
Let p(h) = h**3 + 5*h**2 - 2*h - 5. Let n = 374 + -344. What is the remainder when p(-5) is divided by n/(-70) - (-3 + (-20)/14)?
1
Calculate the remainder when 27*((-9282)/189)/(-17) is divided by 17.
10
Let u(l) = -l**2 - 55*l + 371. What is the remainder when 1671 is divided by u(-60)?
38
Suppose 4*j + 17 = 5*j. Suppose 0 = -7*d - 575 + 372. Calculate the remainder when ((-14)/2 - d)*2 is divided by j.
10
Suppose 44 = o - n - 16, 0 = 2*o + 4*n - 120. Let l = 158 - o. Calculate the remainder when l is divided by 11.
10
Suppose 441 = 8*z + 217. Let m = -22 + 24. Suppose 3 = -m*a + 19. Wh