Let r(q) = 64*q**2 - 8*q + 9. Calculate the remainder when r(2) is divided by 49.
4
Suppose 1269 = 5*x - 3*f, 4*x - 242 = 3*f + 775. Let s = -3116 + 3120. Suppose -x - 84 = -s*y. What is the remainder when y is divided by 19?
8
Let o be 2*((-338)/(-44) - 2/11). Suppose 2*t = 1 - o. Calculate the remainder when 2/t + 625/7 is divided by 19.
13
What is the remainder when 124 is divided by 1*(-3165)/(-35) + 11/((-77)/3)?
34
Suppose 69*f + n = 64*f + 526, 2*f - 202 = n. What is the remainder when f is divided by 31?
11
Suppose -10*b + 18*b = -198*b + 8858. Suppose -2*d + 16 = 2*c, -7*c + 2*c = -3*d + 56. Calculate the remainder when b is divided by (33/(-2))/((-9)/d).
21
What is the remainder when ((-867)/(-6) - -12)*2 is divided by 22?
5
Let c(i) = -i**3 - 22*i**2 - 26*i + 31. Calculate the remainder when c(-21) is divided by 47.
42
Suppose -4*v + 33 = f - v, 3*v = 15. Let b = 0 + f. Calculate the remainder when 35 is divided by b.
17
Let j(l) = 109*l + 1116. Let d = 670 + -301. Let r = -215 + d. What is the remainder when r is divided by j(-10)?
24
Let h = 5883 - 5779. Suppose -4*b - 41 = -233. Calculate the remainder when h is divided by b.
8
Suppose 4*i + 68 = 4*s, 0 = 4*s - i + 2*i - 88. What is the remainder when 50 is divided by (-40)/140 + 363/s?
16
Suppose -2*l + 150 = -4*b, 4*l - 3*b + 205 - 475 = 0. What is the remainder when 5857 is divided by l?
61
Let v(u) = -6 + 9*u - 6*u**2 + 15*u**3 - 26*u**3 + 10*u**3. Let t = -20 + 12. Calculate the remainder when 148 is divided by v(t).
48
Suppose 248*w - 253*w + 251 = -v, 0 = -3*w + 4*v + 137. What is the remainder when 611 is divided by w?
50
Let g = 6435 + 3188. What is the remainder when g is divided by 12?
11
Calculate the remainder when (4/(-6))/((-1744)/12980 - (-52)/390) is divided by 165.
154
Suppose 35*w + 44*w + 2*w = 54999. Calculate the remainder when w is divided by 12.
7
Suppose 5*f = -2*a + a + 103, 2*f + 5*a - 32 = 0. Let g = 761 - 708. Calculate the remainder when g is divided by f.
11
Let a = 20936 + -20288. What is the remainder when a is divided by 108?
0
Let j = 44 - 36. Suppose 10 = -j*o + 10*o. Suppose 132 = 7*t - o*t. Calculate the remainder when t is divided by 35.
31
Let n = 174 + -172. Suppose 6*m = 2*m + 8. Suppose -q - q = -m. What is the remainder when n is divided by q?
0
Suppose 3*z + 13*r - 8*r - 67 = 0, 4*r - 62 = -3*z. Suppose -j - j + 102 = 0. Let p = j - 24. What is the remainder when p is divided by z?
13
Let o = -297 + 300. Suppose 5*h - 48 = 3*a + 246, o*h = 2*a + 176. What is the remainder when h is divided by 33?
27
Let s = 351 - 311. Calculate the remainder when s is divided by 18.
4
Suppose 7*l = 720 + 43. Calculate the remainder when 512 is divided by l.
76
Let o = -91 - -61. Let k = -13 - o. Calculate the remainder when (-6)/(6/(-83))*(1 - 0) is divided by k.
15
Suppose 5*c - 493 = -23. Let v(d) = -25 - 35 + 25*d - 37*d. What is the remainder when c is divided by v(-9)?
46
Let h(r) = r**2 - 7*r + 33. What is the remainder when 613 is divided by h(11)?
74
Let f = -13 - -17. Suppose 2*s - f*s = -10. Suppose 3*j + j = q, -s*q + 2*j = -72. Calculate the remainder when 31 is divided by q.
15
Suppose -22*w = 87432 - 281274. What is the remainder when w is divided by 26?
23
Let s(a) = a**3 - 21*a**2 - 23*a + 30. Let b be s(22). What is the remainder when 47 is divided by ((18/b)/3)/((-1)/(-4))?
2
Calculate the remainder when 753 is divided by 11 - ((-16523)/410 + (-6)/(-20)).
39
Let l(t) = -t**3 + 38*t**2 + 5*t - 136. Calculate the remainder when (1/(4/(-11)))/((-7)/252) is divided by l(38).
45
Let s be (-2 - -1*1) + 25. Suppose 7*l - 3*l + 4*x - s = 0, -3*x + 23 = 4*l. Let m = 781319 + -781308. Calculate the remainder when m is divided by l.
1
Let a = -20 + 52. Suppose -6*z = -4*t - 11*z + 1755, 5*z = -3*t + 1310. Let k = -434 + t. What is the remainder when a is divided by k?
10
Let h = -76309 - -76384. What is the remainder when h is divided by 43/2 - (-1)/2?
9
Suppose 7*k - 1827 = -0*k. Suppose 0 = -f - 0*y - y + k, -y = 5*f - 1317. Suppose 11*i - f = 3*i. What is the remainder when i is divided by 4?
1
Let y(s) = s**2 + 9*s - 1. Let x be y(-9). Suppose 0 = 6*p - 11*p + 95. Calculate the remainder when -2 + 79 - (-4)/x is divided by p.
16
Let r = -3 + 20. Suppose r*m - 43 = 16*m. What is the remainder when 2 + 334/3*(-9)/(-6) is divided by m?
40
What is the remainder when ((-1262796)/(-235))/((-16)/(-20)) is divided by 168?
165
Let h = -14310 + 15048. Calculate the remainder when h is divided by 315.
108
Let q be (-1 - -58) + 0 + -1. Suppose 1 = 11*b - 12*b - x, 4*b - 3*x + 53 = 0. Let z = q + b. Calculate the remainder when z is divided by 25.
23
Let w = -1444 - -1468. Let b be 138/4*(-6)/(-9). Calculate the remainder when 1/(2/6)*b is divided by w.
21
Suppose a = -3*n + 55, 2*a - n = a + 59. Suppose -3*x = -x - a. Suppose 5*f - 44 - x = -3*k, -k + 3*f = -29. What is the remainder when 77 is divided by k?
25
Let z be -1 + 8 + 6/(-2) - 212. Calculate the remainder when 805 is divided by ((-676)/z)/(1/8).
25
Let a(d) = 2*d**2 - 18*d - 14. Let l be a(10). Suppose 0 = -4*x + 4*c + 12, 5*x + 3*c - 17 - l = 0. Calculate the remainder when 37 is divided by x.
1
Suppose g - 163 = l, 2*l + 742 - 570 = g. What is the remainder when 5081 is divided by g?
153
Calculate the remainder when 923 is divided by (-18)/(7 + -1) + -3 + (17 - 2).
5
Let m = -120 + -499. Let x = -527 - m. What is the remainder when x is divided by ((-2)/1)/(4/(-62))?
30
Let d(z) = -4*z**3 + 86*z**2 - 131*z + 28. Calculate the remainder when d(19) is divided by 286.
5
Let q(r) be the second derivative of -r**4/12 + 5*r**3/2 - 7*r**2/2 + 6*r. Let l be (1 + -3)/1 - (-144)/9. What is the remainder when 11 is divided by q(l)?
4
Suppose 5*v + 19*g - 22*g - 1555 = 0, 4*v + 2*g - 1244 = 0. Calculate the remainder when v is divided by 10.
1
Let d = 466 + -331. Let w = -63 + d. Let c = w - 26. What is the remainder when 136 is divided by c?
44
Let c(k) = 8*k - 76. Let p(r) = -2*r**2 - 35*r - 7. Let w be p(-17). What is the remainder when 19 is divided by c(w)?
3
Suppose 0 = -r - 4*c + 38, 11*c - 13 = -2*r + 12*c. What is the remainder when 964 is divided by r?
4
Suppose -30 = -o - 0. Suppose 4*t = -o + 26. What is the remainder when 19 is divided by (-1)/(t/13) + -2 + 0?
8
Let r(v) = v**3 + 15*v**2 - 15*v - 40. Let a be r(-17). Let k = 1 + 2. Calculate the remainder when (-1 + k)*-2*a/66 is divided by 8.
6
Suppose -g + 14 = 2*u, -4*g - 5 + 11 = -2*u. Suppose -73*n = -70*n - 162. Suppose -6*m + 138 - n = 0. What is the remainder when m is divided by g?
2
Calculate the remainder when (-18050)/(-15) - (-107)/(-321) is divided by 343.
174
Let x = 48747 - 48631. Calculate the remainder when 1172 is divided by x.
12
Let l(v) = -10*v - 12*v + 42*v - 8*v - 266. Calculate the remainder when l(35) is divided by 32.
26
Suppose 251*f - 379411 = -120*f + 10*f. What is the remainder when f is divided by 22?
17
Let i = -314 + 316. Suppose -i*n + 225 + 123 = 2*g, -n + 174 = 5*g. Calculate the remainder when n is divided by 32.
14
Let o = -314 - -599. Suppose -56 = -11*t + o. Suppose 5*w + 132 = 2*k, 0*k + 63 = k - w. Calculate the remainder when k is divided by t.
30
Suppose -z + 0*z = -8. Suppose -255*x - 32*x = 7*x - 34692. Calculate the remainder when x is divided by z.
6
Suppose 1864*z - b - 1938 = 1859*z, -6 = 2*b. What is the remainder when z is divided by 58?
39
Suppose -6*x + x + 25 = 0, -2*o + 119 = 3*x. Suppose 5*s = -0*s + 655. Let y = s - o. Calculate the remainder when y is divided by 27.
25
Let f = -329 + 153. Let q = f + 206. Calculate the remainder when 200 is divided by q.
20
Suppose -28 = 10*o - 28. Suppose 0*w = t - 2*w - 32, o = -4*t + 5*w + 122. What is the remainder when t is divided by 10?
8
Suppose 82*n = 77*n + 820. Suppose 5*b = 8*b - 5*i - 140, -n = -4*b + i. What is the remainder when b is divided by 22?
18
Suppose 4*p = 160 - 36. Suppose u - 11 - 35 = 0. Let l = u + -38. What is the remainder when p is divided by l?
7
Suppose -w - 7*w + 22776 = 4*w. What is the remainder when w is divided by 19?
17
What is the remainder when 306 is divided by 6 + (-41 - -51)*(-5)/(-1)?
26
Let z be (12/1)/((-9)/6). Let b be (2*z/(-5))/((-2)/(-35)). Calculate the remainder when 50 is divided by (2/4)/