hen 311 is divided by q(-17).
23
Calculate the remainder when (-16)/5 + 319830/525 is divided by 41.
32
Suppose i + 2*a - 53 = 0, -139*i - 2*a - 183 = -142*i. What is the remainder when 143 is divided by i?
25
Suppose -2*q = 2*i + 314, -7*i - 2*q = -4*i + 474. Let f = i + 278. Calculate the remainder when f is divided by 47.
24
Let b = 32 - 8. Let q = b + -10. Let u(v) = -v**3 + 32*v**2 + 281*v - 7219. Calculate the remainder when u(34) is divided by q.
9
Let n(j) = -16*j + 1267. Calculate the remainder when n(-16) is divided by 67.
49
Suppose z - 19*d = -20*d + 26, 47 = z + 4*d. Calculate the remainder when 369 is divided by z.
8
Suppose -g = -4*y + 247 + 83, 0 = -g + 3*y - 329. Let s = g - -781. Suppose -16*p + s = -11*p. Calculate the remainder when p is divided by 24.
19
Let o = -17 + 539. Let w = o + -231. What is the remainder when w is divided by 73?
72
Suppose 258*z - 256*z - 5*k = 642, 5*z + 2*k - 1547 = 0. What is the remainder when z is divided by 85?
56
Let b = -87 + 19. Calculate the remainder when 324/10 + b/170 is divided by 21.
11
Let v(o) = 2*o**2 - 26*o - 5. Let d be v(14). Suppose -d*m = 17*m - 600. Let u(i) = i**3 + i**2 + 56. What is the remainder when u(0) is divided by m?
11
Suppose r - 2 = 0, -5*v - 2*r - 606 = -0*r. Let d = 652 + v. Suppose -5*x + 635 = -3*y, -d = x - 5*x - 2*y. Calculate the remainder when x is divided by 33.
31
Let n = 425 - 152. Suppose 3*z - 2*b + b - n = 0, 0 = -5*z - 4*b + 455. Suppose -6*q + 259 = z. What is the remainder when 138 is divided by q?
26
Let m be ((-6)/8)/((-3)/32). Calculate the remainder when 682/m - 50/200 is divided by 44.
41
Let d = 11328 - 10965. Calculate the remainder when d is divided by 313.
50
Let b = -292 + 225. Let j = 91 + b. What is the remainder when 93 is divided by j?
21
Let t(l) = -3*l**3 + 32*l**2 - 20*l + 9. Suppose -5*m - 2*u - 16 = 12, -3*m - 5*u = 32. What is the remainder when 5 - (-16)/m - -69 is divided by t(10)?
7
Suppose 99 = 12*z + 181 - 406. What is the remainder when z is divided by 11?
5
Suppose 0 = 8*h - 6*h + 8. Let i = 22 - 48. Let n = h - i. Calculate the remainder when n is divided by 8.
6
Let r = 70 + -185. Suppose 2*l - 16 = -2*l. Calculate the remainder when 38 is divided by r/(-5) - (l - 1).
18
Suppose 2*x = 7*x - 20. What is the remainder when 107 + (-5)/(40/4)*-8 is divided by 165/12 + 1/x?
13
Let r = -25 - -52. Suppose -6*m - 36 = -12. What is the remainder when (-1)/(-3) - (286/(-6) + m) is divided by r?
25
Let g = -22741 + 24701. Calculate the remainder when g is divided by 46.
28
Let o(m) = m**2 + 8*m + 15. Let b be o(-5). Suppose n - l - 38 = 0, b = 4*n + 3*l - 4*l - 137. Calculate the remainder when 359 is divided by n.
29
Suppose 4*r - m + 111 = 1918, -5*r + 2267 = -4*m. Let t = -374 + r. What is the remainder when 159 is divided by t?
5
Let s = -287 + 289. Calculate the remainder when 3 - (0 - (105 - s)) is divided by 37.
32
Let h be (-70)/6 + 3/(-9). What is the remainder when 22 is divided by h/(1 + (-6 - -3))?
4
Suppose 7699*t - 7697*t = -2*l + 274, -4*l + 530 = -5*t. What is the remainder when l is divided by 0 + 68 + -1 + 1?
67
Suppose 148*r = 149*r - 27. Let g(a) = 2*a**2 - 52*a - 22. Calculate the remainder when g(r) is divided by 19.
13
Let k = -6364 - -6375. Calculate the remainder when 31 is divided by k.
9
Suppose -19*g = -15*g + 30*g - 5984. What is the remainder when g is divided by 44?
0
Let r(a) = 29*a**2 + 253*a - 2. What is the remainder when r(-15) is divided by 42?
40
Let j be 0 + 4 + (7 + 1)*73. Suppose 6*q - j = -q. Calculate the remainder when q is divided by 26.
6
What is the remainder when (-2)/16 + -14 + 20385/72 is divided by 87?
8
Let n = 218 - 146. Let q be -1 - (12/(-4) + -53). Calculate the remainder when n is divided by (-2)/(-5) + 803/q.
12
Let c = 435 - 283. Suppose 6*v - c = 70. What is the remainder when v is divided by 11?
4
Suppose 0*x - 48 = -x. Suppose 2*y + 4*c - x = 8*c, 0 = -5*y + 5*c + 100. Calculate the remainder when (-15*99/(-66)*(0 - -2))/1 is divided by y.
13
Suppose 927*g = 928*g - 36. Let i = 72 + g. What is the remainder when i is divided by 16?
12
Suppose 15*n = 1053 + 192. Calculate the remainder when 86 is divided by n.
3
Let z = 71 - 71. Suppose 5*j + 5 = z, -5*j + 5 = 4*w + w. Suppose -w*c = -0 - 36. Calculate the remainder when c is divided by 5.
3
Suppose 4*p = y + 865, 4*p + 59*y = 55*y + 880. What is the remainder when p is divided by 64?
25
Let s = 806 + -762. What is the remainder when 785 is divided by s?
37
What is the remainder when 5107 is divided by ((-20)/45)/(-2) - (284/(-18) - -3)?
11
Suppose -3*k + 555 = 3*q + 2*k, -4*k = -3*q + 555. Let z = 231 - q. Calculate the remainder when 163 is divided by z.
25
Suppose 0 = -3*k - 2*z + 3, 0*k + 3*k + 3*z = 3. Let t be k/((-33)/(-22) + (-17)/10). Calculate the remainder when (t + -1)*(95/10)/(-1) is divided by 20.
17
Suppose -25*d + 35 = -115. Suppose -30 - d = -9*t. Calculate the remainder when t is divided by 2.
0
Let p = -2399 + 2427. What is the remainder when 358 is divided by p?
22
Suppose 10641*a = 10702*a - 19581. Calculate the remainder when a is divided by 26.
9
Let f(b) = b**2 + 14*b + 26. Let x be f(-12). Let z be (-2)/9 + x/(90/2035). Suppose -z = -24*j + 21*j. Calculate the remainder when 27 is divided by j.
12
Let q(s) = -s**3 + 46*s**2 + 43*s + 62. Let h be q(20). Suppose -2957*o + 2963*o = h. What is the remainder when o is divided by 63?
60
Suppose 0 = -2*v + 3*z + 311, 19*v + 533 = 22*v + 5*z. Calculate the remainder when 2323 is divided by v.
165
Let p(y) = y**3 - 4*y**2 - 12*y + 1. Let l be p(6). Let w(m) = 2 - 15*m + 6 + 13*m**2 + l + m**3. Calculate the remainder when 113 is divided by w(-14).
21
Let f(k) = -8*k. Suppose x + m - 25 = 0, -x - 12*m + 16*m = 0. Calculate the remainder when f(-7) is divided by x.
16
Suppose -14*d + 0 = -14. Let x be (-33 - d)*28/8. Let q = x - -128. What is the remainder when 78 is divided by q?
6
Suppose 64*g = 61*g + 12. What is the remainder when ((-34)/(-4))/(g/80) is divided by 35?
30
Let f be 1*-4 + -2 + 6. Suppose 4*r - r = f. Suppose r = -4*v + 29 + 39. Calculate the remainder when v is divided by 5.
2
Suppose 0 = t - 4*u - 21, -3*t - 3*u + 33 = -0*t. Let x(i) = 77*i**2 - 6*i + 5. Calculate the remainder when x(1) is divided by t.
11
Let c = -46 + 134. Let t = -85 + c. Calculate the remainder when 13 is divided by t.
1
Suppose -6580 - 1290 = -36*s + 7538. Calculate the remainder when 1728 is divided by s.
16
Let f(k) = -3525*k + 60. Let w(a) = 3524*a - 60. Let x(o) = -4*f(o) - 3*w(o). Let b be x(-8). What is the remainder when b/(-180) - (-4)/(-30) is divided by 32?
29
Let x(j) be the second derivative of 11*j**4/12 - j**3 - j**2/2 + 25*j. Calculate the remainder when x(-3) is divided by 0 - (-4 + 3) - -38.
38
Suppose 0 = 3*v - 0*v - 33. Let f(o) = -3*o - 156. Let l be f(31). Let g = l - -281. What is the remainder when g is divided by v?
10
Let q(t) = 64*t - 48. Let g(k) = k + 11. Let n be g(-7). What is the remainder when q(2) is divided by (-3)/(-18)*n*42?
24
Let o be (16/(-2))/(-13 + 7)*-3. Let y(z) = z**3 + 4*z**2 + 6*z + 16. Let q be y(o). Calculate the remainder when 12 is divided by (2*1/q)/((-2)/32).
0
Suppose 119 = -5*x - 3*p + 525, -2*x + 151 = 5*p. What is the remainder when 269 is divided by x?
20
Calculate the remainder when 3322 is divided by -2*(-109)/2 + 290/(-58).
98
Suppose 6*m - 48 = 5*m. Let v be (-45)/10*(-2)/3. Suppose x - v*x + 50 = 2*l, 2*l - 55 = 3*x. Calculate the remainder when m is divided by l.
22
Suppose 0 = q - 4*a - 16, -7*a + 2*a - 3 = 3*q. Suppose -q*l + t = -100, 5*t + 56 = 3*l - 36. What is the remainder when 143 is divided by l?
23
Suppose 18 + 202 = 5*c. Suppose 17*j - 22*j - 2*d = 83, 0 = -j - 4*d - 31. Let v = c + j. What is the remainder when 57 is divided by v?
28
Suppose 2*j + 231 = -3*o, -2*o = -33*j + 31*j + 164. What is the remainder when (5 - (-4 + 10))*o is divided by 16?
15
Let v = 7707 + -6628. Calculate the remainder when v is divided by 28.
15
Suppose -2*n + 47 + 1 = 0. Suppose -n = -9*s + 255. Suppose s = 2*r - 2*a - 45, 0 = -3*a. What is the remainder when r is divided by 13?
12
Let b = 12999 + -12964. Let u(j) = j**2 - 2*j - 1. Let v be u(3). Suppose -v*x + 1 = r, -r - 4*x = -3*r + 34. Calculate the re