ivided by 17.
14
Suppose -3*f = 5*r - 49 + 4, 4*r + 74 = 2*f. Calculate the remainder when 1543 is divided by f.
18
Suppose 210 = k + 4*k. Let g(h) = 2*h**2 + 26*h - 50. Suppose 0 = -40*r - 603 + 3. Calculate the remainder when k is divided by g(r).
2
Suppose 670*k + 2716 = 2*q + 665*k, -5*q + 6732 = 2*k. What is the remainder when q is divided by 18?
16
Suppose 35*r + 2*l + 1740 = 40*r, -4*r = l - 1379. What is the remainder when r is divided by 128?
90
Calculate the remainder when 845 is divided by -1 - (-155)/186 - 1*(-518)/12.
28
Suppose -3*l - 2052 = 5*w - 2109, -5*l = -w - 95. What is the remainder when (-337)/(-2) + 2/(-4) is divided by l?
16
Suppose -469 = 3*o - 1258. Suppose -5*q = -0*q + r + 1360, 0 = -2*q - 3*r - 544. Let t = 310 + q. What is the remainder when o is divided by t?
35
Let z = 776 + -734. Let n(q) = -q**3 - 7*q**2 - q + 2. Suppose -4*t + 3*h - 16 = 0, 3*t + 4*h + 36 = -1. Calculate the remainder when z is divided by n(t).
6
Let g(i) = 23*i**2 - 53*i - 38. Calculate the remainder when 3226 is divided by g(3).
6
Let p(k) = -3*k**2 + 43*k + 83. Suppose 4*o + 0*s - 52 = 5*s, -52 = -2*o - 4*s. Calculate the remainder when p(15) is divided by o.
17
Suppose 4*z + z = 5*u - 300, -2*z - 1016 = -16*u. Calculate the remainder when 326 is divided by u.
6
Let i = -578 + 578. Suppose -338*f + 333*f + 270 = i. Calculate the remainder when 107 is divided by f.
53
Suppose -2*v + 4*r + 1 = -1, 5*v = -r + 27. Let b(p) = 267*p + 30. Let m be b(-1). Let k = 242 + m. Calculate the remainder when v is divided by k.
0
Let w(s) = 2*s**2 - 8*s + 13. Let u = -74 - -78. Let v(h) = -h**3 - 3*h**2 - h - 5. Calculate the remainder when v(-5) is divided by w(u).
11
Suppose 2*l + 2 = -0, v = 4*l + 8. Suppose -3*q + v = -23. Calculate the remainder when 51 is divided by q.
6
Let m(r) be the third derivative of r**5/12 + 5*r**4/6 - 7*r**3 + 4*r**2 - 3*r. What is the remainder when m(-8) is divided by 5?
3
Suppose 49*y + 84 = 490 + 1309. Calculate the remainder when 2122 is divided by y.
22
Suppose -119 = -37*v + 362. Let s(k) = 36*k - 3. Let j be s(3). Let p = j - -62. Calculate the remainder when p is divided by v.
11
Suppose 0 = -3*t + 172 - 25. Let m(q) = q**3 + 5*q**2 - 339*q + 77. What is the remainder when m(-21) is divided by t?
42
Suppose -4*a + 5*c + 480 = 0, a + 111 = 2*a + c. What is the remainder when a is divided by (-249)/(-4) - (7 + (-918)/136)?
53
What is the remainder when (-123)/((-452)/(-9379)*6/(-8)) is divided by 310?
303
Let y = 225 - -299. Calculate the remainder when 259 is divided by (-14)/91 - y/(-26).
19
Let a = 306 + -492. Let b = a + 207. What is the remainder when 68 is divided by b?
5
Let j = 20150 + -20129. Calculate the remainder when (-6)/3 + 62*1 is divided by j.
18
Suppose 0 = -2*n + 349 + 2087 - 44. Calculate the remainder when n is divided by 121.
107
Let j(b) = -b**2 + 26*b + 22. Let a = -285 - -301. Let q = -11 + 57. Calculate the remainder when j(a) is divided by q.
44
What is the remainder when 308 is divided by -1*7*((-65100)/(-147))/(-31)?
8
Let v(g) = g - 7. Suppose -124 = -9*q + 2. Let d be v(q). Suppose -2*w + 2*y + 86 = d*y, -5*w - 4*y = -181. Calculate the remainder when 64 is divided by w.
31
Let w(j) = -5*j**3 - 5*j**2 + 3*j. Let z be w(-4). Suppose 0 = 7*d - 661 - z. Let x = d + -73. What is the remainder when x is divided by 19?
16
Let c = -17662 + 17797. Calculate the remainder when 511 is divided by c.
106
Let o(f) = 2*f**3 + 18*f**2 + 16*f + 6. Let v be o(-8). Let b(j) = j**2 - 2*j - 12. What is the remainder when 90 is divided by b(v)?
6
Suppose 228 - 173 = 11*y. Let t(d) = 2*d**2 - 6*d - 1. Let z = -11 - -16. What is the remainder when t(z) is divided by y?
4
Suppose -324 - 492 = -16*i. Suppose o + 3*o = -12. What is the remainder when i is divided by 22 - 5/((-5)/o)?
13
Let z(k) = k**3 - 24*k**2 + 43*k + 36. Suppose -45*d + 1434 = 444. Calculate the remainder when 180 is divided by z(d).
12
Suppose -p + 100 = 3*l, -10*p + 7*p = -2*l - 355. Calculate the remainder when p is divided by 35.
10
Let a(u) = u**2 + 167*u + 2653. What is the remainder when a(-152) is divided by 39?
22
Suppose -4992 = -13*o - 11*o. Suppose 4*j - 5*j + o = 3*r, -5*r + j = -360. What is the remainder when r is divided by 3?
2
Let j(v) = v**2 + 5*v - 4. Let b = 26683 - 26650. What is the remainder when b is divided by j(-8)?
13
Let r = -82 - -137. Suppose 7*g = r + 50. Suppose 2*w + 0*h = -5*h + 108, 2*h - 291 = -5*w. What is the remainder when w is divided by g?
14
Let c(h) = -h**3 - 3*h**2 + 23*h - 5. Suppose -2*z + 100 = 23*z. What is the remainder when c(-7) is divided by z?
2
Suppose 19 + 37 = 2*n - 28. Suppose -2*y = u - 1, -1 = -y + 4*y + 2*u. Suppose 0*t - y*t = -372. What is the remainder when t is divided by n?
40
Suppose q = -3*p + 7*p - 12, 0 = 4*p - 3*q - 20. Suppose 3*m - 5*a = -16, -6 = p*m + a - 17. What is the remainder when (-1)/(-1) - -2 - 0 is divided by m?
0
Let w be (-3 - (-8)/2)/(3/21). Suppose -w = s - 3*k - k, -5*s = k - 49. What is the remainder when s is divided by 3?
0
Suppose -110 - 130 = -4*g. Suppose g = -c - 7. Calculate the remainder when (2 - (-2 - -5))*c is divided by 17.
16
Let d(y) = 18*y**2 - 4*y - 25. Let b(k) = k**3 - 37*k**2 + 9*k + 51. Let j(h) = -2*b(h) - 5*d(h). Calculate the remainder when j(-8) is divided by 4.
3
Let o(i) = i**2 - 2*i - 79. Let p be o(0). Let u = p + 108. Suppose 0 = 2*c - 71 + u. Calculate the remainder when 60 is divided by c.
18
Suppose 10*v - 10048 - 16411 = 8531. Calculate the remainder when v is divided by 103.
100
What is the remainder when 3963 is divided by (-19)/(95/(-25)) - -8?
11
Let l = -993 + 1021. Suppose -171 = -3*z + 3*c, z - 2*c + 45 = 2*z. Calculate the remainder when z is divided by l.
25
Let y = 23380 + -22124. What is the remainder when y is divided by 63?
59
Let b = 998 - 965. Let a = 295 + -165. What is the remainder when a is divided by b?
31
Let q = -6527 - -6607. What is the remainder when 2798 is divided by q?
78
Let g = -1020 + 1020. Calculate the remainder when g - -382 - 8 - -8 is divided by 32.
30
Suppose -2*v - 661 = -3*a - 1870, 0 = 4*v + 4*a - 2388. Calculate the remainder when 4208 is divided by v.
8
Let k(p) = -5*p**2 + 91*p + 24. Calculate the remainder when 626 is divided by k(17).
122
Suppose m = -5*m + 72. Suppose 715 = m*s + s. What is the remainder when s is divided by 13?
3
Suppose 0 = 9*m - m - 2*m. Suppose m*u = 3*c - 5*u - 404, 3*c - 392 = 2*u. Suppose -7*r + c = r. What is the remainder when 63 is divided by r?
15
Let w = 6 - -22. Let d be (-8)/2 + 2 + 4. Suppose -2*h = -0*u - d*u - 100, -5*h + 3*u + 260 = 0. Calculate the remainder when h is divided by w.
27
Let z(u) = 3*u**3 + 3*u**2 + 11*u - 13. Let k be z(6). Suppose 739 = 3*m - k. What is the remainder when ((-2)/6)/((6/(-3))/m) is divided by 15?
11
Let o be (4 - (-1)/(-1))*6/9. Let x(i) = 30 - 7*i - o*i**3 - 66 + 0*i**3 + 31. Calculate the remainder when x(-3) is divided by 18.
16
Suppose -2*x + 602 + 227 = -5*o, 5*o - 5*x + 820 = 0. Let m = 232 + o. What is the remainder when 254 is divided by m?
59
Let k = -43 + 252. Suppose 169 = -139*y + 104*y + 1989. What is the remainder when k is divided by y?
1
Let b(d) = 4*d + 2*d - 4*d + 45 - 3*d. Suppose 19*k = 18*k - a - 18, a + 2 = 0. What is the remainder when b(k) is divided by 13?
9
Let f be ((-30)/12 + 3)*124. Let m = -32 + f. What is the remainder when 236 is divided by m?
26
Let d = -3555 + 3632. What is the remainder when 138 is divided by d?
61
Let o = 51769 - 34472. Suppose -62*y + 13*y + o = 0. What is the remainder when y is divided by 21?
17
Suppose 71*y = 111*y - 16120. What is the remainder when y is divided by 132?
7
What is the remainder when (((-2)/(-7))/(-2) + 578/(-952))*-380 is divided by 74?
63
Suppose -2728*q + 2713*q = -2460. Calculate the remainder when q is divided by 29.
19
Calculate the remainder when (-14094)/(-13) + 6 + 8/(-52) is divided by 122.
114
Suppose -3*m + 1577 = -2*z, 0 = 4*m - z - 1676 - 420. Let n = m + -382. What is the remainder when n is divided by 9?
6
Let q(d) = d + 2. Let k be q(3). Suppose 0 = -h - k*w + 17 + 1, -h - 2*w = -21. Let v = -25892 + 25937. What is the remainder when v is divided by h?
22
Suppose -2*r + z = -22 - 5, 0 = r - 5*z - 18. Let b be 1309/99