 7 = 2*j, b - 171*j + 175*j = 43. Calculate the remainder when 687 is divided by b.
3
Let h(k) = 5*k**3 + 23*k**2 - 18*k - 26. Let s be h(-8). Let f = s + 1626. Calculate the remainder when f is divided by 7.
5
Let b = 5 - -1. Suppose 0 = 3*n + u - 269, 261 = b*n - 3*n + 3*u. Suppose 0 = -w - n + 114. What is the remainder when 44 is divided by w?
21
Let g = 342 - 334. Suppose -5*h = -5*u - 50, g*h - u + 50 = 11*h. What is the remainder when 192 is divided by h?
12
Let l = 38925 + -34990. What is the remainder when l is divided by 26?
9
Suppose -38*o + 414728 = 45444. Calculate the remainder when o is divided by 36.
34
Let v(q) = 88*q + 3933. What is the remainder when 13110 is divided by v(-43)?
147
Calculate the remainder when (30/(-22))/((-80)/880) is divided by ((-4)/3)/(1*2/(-15)).
5
Let u(d) = 1688*d + 3430. Suppose 5*t - 38 = 3*t. Calculate the remainder when u(-2) is divided by t.
16
Calculate the remainder when (6/(-40))/(4017/(-830180)) is divided by (1/(-2))/((-2)/8).
1
Calculate the remainder when (124/3)/((-8)/(-12)) is divided by (-5 - -2)*(-4 - (-475)/(-57)).
25
What is the remainder when 54 + (-17 - -9)/4 - -6 is divided by 37?
21
Suppose -2*h = 3*h - 75. Let u = 256 - 165. Let p = -83 + u. Calculate the remainder when h is divided by p.
7
Let p be 1 + 1 + 0 + -1 + 4. Suppose p = 4*c - 11. Suppose -5*m + c*m = -23. Calculate the remainder when 66 is divided by m.
20
Suppose 2*u - 138 - 38 = 0. Suppose 5*g - 142 = u. Suppose 4*f = 5*j + 81, -3718*j + 3723*j = 15. What is the remainder when g is divided by f?
22
Let l(o) = -2*o**2 + 15*o + 13. Suppose -58*z + 336 = -10*z. What is the remainder when l(z) is divided by 12?
8
Calculate the remainder when 751 is divided by -6*(-3)/15*(-160)/(-24).
7
Suppose 4*i - 485 - 67 = 0. Let f(r) = 96*r - 4. Let b be f(-1). Calculate the remainder when i is divided by ((-3)/(-6))/(10/b) + 19.
12
Suppose 12 = 4*t + 4*c, 0 = -4*t + 2*t - 4*c + 12. Suppose t = 515*z - 512*z - 66. What is the remainder when 48 is divided by z?
4
Let g(a) = -a**2 + 10*a - 6. Let y be g(10). Let u = -18 - -30. Calculate the remainder when u is divided by (y + 0)*((-7)/(-2))/(-7).
0
Let f = 146 - -222. Suppose -9*m + 4*y + f = -5*m, 4*m + 4*y - 376 = 0. Let p = -48 - -80. What is the remainder when m is divided by p?
29
Suppose 0 = 146*t - 142*t. Suppose -b + 6*b - 85 = t. Suppose 0 = j - 64 - b. What is the remainder when j is divided by 17?
13
Suppose -5*a - 2*h = -101, -271*a + 3*h = -269*a - 48. Suppose 2 = r, 9*w + 5*r = 4*w - 145. What is the remainder when a is divided by w/(-4) + 2/8?
5
What is the remainder when (-1227)/(-6) + (-12)/8 is divided by 169?
34
Let g = -788 - -797. What is the remainder when 501 is divided by g?
6
Let w = -3 - -7. Suppose -5*u = 4*x + 1640, 5*u + 1338 = -2*x - 292. Let l = u + 327. What is the remainder when w is divided by l?
1
Let s(p) = 6*p**2 + 43*p + 12. Let t be s(-7). Suppose 11*b - 3*k + 508 = 15*b, t*k - 127 = -b. Let d = 64 - 32. What is the remainder when b is divided by d?
31
Let a = 69 - 74. Let z(f) = -f**2 + 14*f - 24. Calculate the remainder when ((-12)/(-8))/(a/((-920)/4)) is divided by z(11).
6
Let t be (-182 + 167)*(16/10)/(-2). Suppose -21 = -19*p + t*p. Calculate the remainder when 118 is divided by p.
1
Let c = -3373 + 3392. Calculate the remainder when 490 is divided by c.
15
Suppose 0 = -94*g + 89*g + 15, 49 = 2*m + g. What is the remainder when 188 is divided by m?
4
Let h(y) = -3*y**3 + 22*y**2 + 17*y - 4. Let q be h(8). Suppose 5*t + 6*r - 119 = 8*r, 4*r = q*t - 88. What is the remainder when 64 is divided by t?
14
Suppose -l + 12 = -2*z + 3*z, -30 = -2*z + l. What is the remainder when 42 is divided by z?
0
Suppose -p - 5*h - 2485 = -6*p, 527 = p + 5*h. What is the remainder when p is divided by 34?
26
Let v = -2837 - -2886. Calculate the remainder when 421 is divided by v.
29
Suppose -45*l + 18064 - 17494 = -7*l. Calculate the remainder when 337 is divided by l.
7
Let z(p) = p**3 + 8*p**2 + 6*p + 9. Let k(v) = v**2 + 10*v + 18. Let x be -16 + (-4*(-3)/12 - 0). What is the remainder when k(x) is divided by z(-7)?
13
Suppose 4*g - 5*g - 4*o = -12, -3*g - o = -58. Let d(q) = -q**3 + 14*q**2 - 14*q + 20. Suppose 6 + 7 = l. Calculate the remainder when g is divided by d(l).
6
Suppose -12*w = 2*q - 9*w - 35, 3*q = 4*w + 78. Suppose 2*u = -7 + 25. Suppose 987 = u*x + 15. What is the remainder when x is divided by q?
20
Suppose 14*s + 338 = 884. Let n = s - 33. Calculate the remainder when 34 is divided by n.
4
Let m(r) be the second derivative of -1/4*r**4 + 1/10*r**5 + 0 - 15*r - 5/2*r**2 + 2/3*r**3. Calculate the remainder when m(3) is divided by 18.
16
What is the remainder when 728 is divided by 79*3 - (7 + 13 + -7)?
56
Let v be 8 + (-5 - 3496)/9. Let q = v - -445. What is the remainder when 319 is divided by q?
63
Let b = 27 + -25. Suppose -b = 3*c + 4*t, -2*c + 3*t + 8 = t. Suppose c*z - 3 = 91. What is the remainder when z is divided by 18?
11
What is the remainder when 99 is divided by (-8 - 1)/3 - (-595)/7?
17
Suppose 2*q - 7894 = 6*v - 2*v, 3*v = -q + 3977. Calculate the remainder when q is divided by 7.
4
Let p = 1396 - 359. Let y = 1134 - p. Calculate the remainder when 285 is divided by y.
91
Suppose 24255 = 551*z - 502*z. What is the remainder when z is divided by 243?
9
Suppose 2*b + 3810 = r + 21066, -4*r = 2*b - 17286. Calculate the remainder when b is divided by 8.
7
Let y = -1291 + 1380. Calculate the remainder when y is divided by 82.
7
Let r = -172 + 174. What is the remainder when 64/48*(r - (-1498)/4) is divided by 42?
40
Let u be (6/(-1))/((-3)/(-13216)*7). Let q = 187 + -117. What is the remainder when q is divided by u/(-160) + (-4)/(-10)?
22
Suppose -2*k + 6 = -4. Suppose 0 = 4*l - 3*g - 76, -g = -k*l - 2*g + 95. Let t = 160422 - 160412. Calculate the remainder when l is divided by t.
9
Let r be ((-1)/(-3))/(20/1500). Suppose 12*f = 7*f + r. Calculate the remainder when 19 is divided by 8/(3*(-1 + f/3)).
3
Let o(d) = 176 - 197 + 204 + 8*d. Calculate the remainder when 225 is divided by o(-13).
67
Suppose -4*p + 1 = 5. Let l be ((-10)/4)/(6/12*p). Suppose l*r = 3*r + 24. What is the remainder when 33 is divided by r?
9
Suppose -3*h - 4*n + 1368 = 0, 3*n - 2291 = 4*h - 9*h. Suppose -h - 1580 = -10*m. Calculate the remainder when m is divided by 26.
22
Let x be 2/14 + (-286)/(-154). Suppose -x*o - 8 = 0, 5*z - 386 = 3*o + o. Calculate the remainder when z is divided by 40.
34
Suppose 1394 = 4*w + 2*m, 2*w - 3*m + 691 = 4*w. Calculate the remainder when w is divided by 32.
30
Suppose 2*c + 2*o - 10 = 0, 4*c - 5*o + 2 = -5. Let k(j) = -3*j**2 - 2*j - 8*j + 4*j**c + 0*j + 12. What is the remainder when k(11) is divided by 12?
11
Let j = -6381 + 6472. Suppose -4*i + 8 = 0, -4*x + i + 23 = -3*x. Calculate the remainder when j is divided by x.
16
Let n(d) = -2*d - 12. Let t(v) = -2*v - 12. Let q(b) = -5*n(b) + 4*t(b). Let u = 245 - 225. What is the remainder when u is divided by q(0)?
8
Let b(z) = z**2 - 25*z - 19. Calculate the remainder when b(-9) is divided by 20.
7
Let l = 9 + 22. Calculate the remainder when 90/(1/(-2) + 2) is divided by l.
29
Let m be (-73)/(2/12*-3). Suppose -4*o = -d - 114, -5*o = 3*d + 12 - m. What is the remainder when 110 is divided by o?
26
Let w(d) = -18*d - 15. Let m(k) = 53*k + 45. Let h(a) = -3*m(a) - 8*w(a). Calculate the remainder when h(-4) is divided by 5.
0
Let i = 249 + -135. Suppose 2*b - 450 + i = 0. Suppose -z + 158 = -u, -4*u + b = z - 0*u. What is the remainder when z is divided by 27?
25
Let w = 3189 + -2681. What is the remainder when w is divided by 28?
4
Suppose 63*k - 1614 = 22200. What is the remainder when k is divided by 97?
87
Calculate the remainder when 808 is divided by 58 - (-4 + (-140)/(-7)).
10
Let q = 58 - 56. Suppose -9 - q = -m. Calculate the remainder when m is divided by 18/4 + (-2)/4.
3
Let z = 75 + -41. Let r(n) be the first derivative of 76*n**3/3 + 11*n**2/2 + 2*n + 208. Calculate the remainder when r(-1) is divided by z.
33
Let b = -2684 - -2989. What is the remainder when b is divided by 3?
2
Let l = 44 + -42. Suppose -p + l = -0*g + g, -5*g + 4*p = -10. Suppose 0 = -2*o + 164 + g. What is the remainder when o is divided by 21?
20
Suppose -484 = -2*q - 1699*d + 1695*d