the remainder when f(m) is divided by 3.
0
Let t = -21 + 25. Let c be t/(-16) - (-29)/4. Suppose -2*w - r = -c, -6*r = 2*w - r + 13. What is the remainder when 28 is divided by w?
4
Let f = 60 + -6. Suppose 450 = 12*m + f. Suppose -i = 5*p - m, 0 = 4*i + 4*p - 71 + 19. What is the remainder when 69 is divided by i?
5
Let u = -826 + 831. Suppose -3*g = -0*g + 3*s - 36, -u*g + 4*s + 15 = 0. Calculate the remainder when 348 is divided by g.
5
Let o = 41 + -24. Suppose 4*l = 3*q - 1090, -32*q - 1870 = -37*q - 4*l. Suppose q = o*m + 47. What is the remainder when 29 is divided by m?
10
Let u(a) = 34*a + 13. Let v be u(-2). Let r = -41 - v. Suppose 2*k = -3*z - 2*z + 8, -4 = -k - 2*z. Calculate the remainder when r is divided by k.
2
Let w(a) = 2*a**2 - 2*a - 3. Suppose 5*p + y = -680, -3*p + 0*p - 408 = -2*y. Let f = -125 - p. Calculate the remainder when w(4) is divided by f.
10
Let s = -10630 - -20623. Calculate the remainder when s is divided by 28.
25
Let z = -81 - -81. Suppose 8*y - 267 - 1445 = z. What is the remainder when y is divided by 18?
16
Suppose -69 = -43*q + 40*q + 2*r, 2*q + r = 39. Calculate the remainder when 2474 is divided by q.
17
Let s(v) = -83*v + 7. Suppose -5*n = 25, -6*n + 280 = 5*p - 5*n. What is the remainder when s(-4) is divided by p?
54
Let o(l) = 2*l - 85. Let s be o(44). Suppose s = x, 0*d - 3*d + 1023 = 4*x. Calculate the remainder when d is divided by 85.
82
Suppose -g - 2 = -5*f - 10, 2*f = -g - 13. Let v(t) = t**3 + 8*t**2 + 5*t - 7. What is the remainder when 94 is divided by v(g)?
3
Let o(d) = -3*d**3 + d**2 - d - 2. Let n be o(-2). Let u = 87 - n. What is the remainder when u is divided by 10?
9
Let v = -2 - -7. Suppose -q = 4*g - 11, -5*g - 2*q + v = q. Suppose -16 = g*p - 72. Calculate the remainder when 65 is divided by p.
9
Let h = -1798 + -3548. Calculate the remainder when 0 + 2/(-7) - h/42 is divided by 65.
62
Suppose m = 4*m + 3, -3*o - 110 = 5*m. Let t = o - -49. Suppose 0 = 4*v - 3*s - 67 + t, 0 = -2*v - 4*s + 32. What is the remainder when 92 is divided by v?
8
Let v = 11 + -38. Let h = v + 30. Let b(m) = m + 16. Calculate the remainder when b(-8) is divided by h.
2
Let p(u) = 58*u - 457. What is the remainder when 185 is divided by p(8)?
3
Let w be (5 - 8) + 3 + 2. Suppose 0 = 6*l - 5*l + 3*j - 49, -w*j = 0. What is the remainder when 191 is divided by l?
44
Suppose -l = 3*g - 389 + 356, -39 = -3*g + l. Let o(u) = u**3 - 6*u**2 + 2*u + 3. Calculate the remainder when o(6) is divided by g.
3
Suppose 12 = 3*k, -140 = -4*h + 5*k + 212. Calculate the remainder when 7996 is divided by h.
91
Let l = -222 + 211. Let q = l + 23. Calculate the remainder when 59 is divided by q.
11
Let v(y) = -y**2 - 3*y. Let r be v(-7). Let w = -1866 - -230. What is the remainder when w/r + (2 - (-17)/(-7)) is divided by 15?
13
Suppose 3*s - 91 = 2*l, 2*s + 1 = 4*l + 67. Suppose 19*f - 4 = 20*f. Calculate the remainder when s is divided by (-8)/((-16)/6) + f - -4.
2
Calculate the remainder when 3/9*0 - -51 is divided by ((-6)/14*-3)/((-114)/(-532)).
3
Suppose 439 = 3*a - 5*u, 2*u - 721 = -5*a + 52. What is the remainder when a is divided by 4?
1
Suppose 6*y - 3468 = -0*y + 5*y. What is the remainder when y is divided by 193?
187
Suppose -3*f + 17 = 5*q, 12*f + 8 = 14*f. Let u = 16 + q. What is the remainder when 43 is divided by u?
9
Let s be 45/60 + 1/4. Suppose -2*q + 0*q - s = h, -q + h + 4 = 0. Let t(j) = 37*j**3 + j**2 - 2*j + 1. What is the remainder when t(q) is divided by 13?
11
Let u = 510 + -499. Let n = 21 + u. Suppose y - 16 - 3 = r, -47 = -3*y - 2*r. What is the remainder when n is divided by y?
15
Let q = 6951 + -6938. What is the remainder when 1377 is divided by q?
12
Suppose 990 = -565*c + 568*c. What is the remainder when -10*11/(c/(-48)) is divided by 13?
3
Let y be (-105)/(-15) + 15/3. Suppose 358 = -y*q + 14*q + t, -t = -2. What is the remainder when q is divided by 15?
13
Suppose 2*s - 60 - 108 = -m, 0 = -5*m + 5*s + 810. What is the remainder when m is divided by 65?
34
Let g = 43 + 126. Let m(o) = 4*o**2 + 149*o + 1419. What is the remainder when g is divided by m(-21)?
7
Let w(k) = -k**3 + 5*k**2 + 12*k - 5. Suppose 0 = -4*j + 19 + 1, -13 = -a + 3*j. Calculate the remainder when w(5) is divided by a.
27
Suppose 349 - 64 = 5*s. What is the remainder when 349 + 29 + (20 - 3) is divided by s?
53
Let j = -293 - -287. Calculate the remainder when 107/4 - (-2)/8 is divided by (4 - 2) + -2 - j.
3
Let u(w) = w**3 - 3*w**2 + 4*w + 453. What is the remainder when u(0) is divided by 93?
81
Let h(k) = -10*k - 5. Suppose 0 = -2267*v - 10437 - 2735 + 38078 + 29502. Calculate the remainder when h(-5) is divided by v.
21
Suppose 2*v - 338 + 178 = -4*k, -4*v + 16 = 0. Calculate the remainder when 289 is divided by k.
23
Suppose 19*s = 6 - 63. Let z(g) = -g**3 - 3*g**2 + 7*g + 24. What is the remainder when 24 is divided by z(s)?
0
Let r(d) = d**2 + d - 11. Let q be r(9). Suppose -63 = 3*g - x, 3*g - 3*x = -g - q. Let w = g + 36. What is the remainder when 41 is divided by w?
13
Suppose -2*a + 132 = -a - 4*y, -3*y = -9. Suppose 0 = 224*n - 218*n - a. Calculate the remainder when 125 is divided by n.
5
Let b = -7664 + 7732. What is the remainder when 9109 is divided by b?
65
Let i be 8/52 + 1590/(-26). Suppose -5*x + 26 = y, 2*x + 0*x = -3*y + 91. Calculate the remainder when 2*5/(-5)*i is divided by y.
29
Let g(z) = 4*z**3 + 5*z**2 + 49*z - 109. What is the remainder when 3836 is divided by g(2)?
23
Let u(d) = 7*d - 11. Let n be u(9). Suppose -o + 130 = -a - n, 2*o + 5*a = 399. What is the remainder when o is divided by 48?
43
Suppose 12*c - 48 = 13*c - 19*m, 0 = 2*c - 2*m - 12. What is the remainder when 108 is divided by c?
0
Suppose 0 = -2*x + 5*y + 1874, -2*y + y - 940 = -x. Let o = 98 + -39. What is the remainder when x is divided by o?
57
Let n = 6555 + -5879. Calculate the remainder when n is divided by 261.
154
Suppose -7*r = -24*r + 49*r - 33088. What is the remainder when r is divided by 93?
11
Suppose -5*c + 5*w - 445 = 0, 0*c - 65 = c + 5*w. Let v = -87 - c. Calculate the remainder when 103 is divided by v + (-87)/(-3) - 1.
25
Suppose 324 = 5*a + 64. Let s be (-949)/a - (-1)/4. Let v = s - -63. What is the remainder when 223 is divided by v?
43
Let g be 6/1*13/39. Suppose 3*o = -0*n - g*n + 13, n = -4*o + 19. What is the remainder when o*-3*(-4 - 1) is divided by 26?
23
Calculate the remainder when 7977 is divided by (-432)/12 + 18 - -30.
9
Let w = -328 + 296. Calculate the remainder when 4/w*-2732*2 is divided by 36.
35
Let j(f) = -f**3 - 17*f**2 - 17*f - 243. Calculate the remainder when 443 is divided by j(-17).
29
What is the remainder when 314 is divided by 25 + 432/(-27) + (0 - -96)?
104
Suppose -36*c + 71 + 1 = 0. Let s be 131/1*(21 - 19). Suppose -5*v + s = -t, -4*t + 0*t = -c*v + 94. What is the remainder when v is divided by 19?
15
Let l(q) = 29*q**2 - 17*q. Let j = -1343 + 1355. What is the remainder when l(2) is divided by j?
10
Let x(h) = h**2 - h + 31. Let f(c) = -c**2 + 23*c + 1438. What is the remainder when f(50) is divided by x(0)?
26
Let b be (-2)/(-4)*78 + 0. Let j = b + -25. Suppose j = 3*s - 13. What is the remainder when 42 is divided by s?
6
Let b(v) = -9 + v + 3 + 19. Let m be b(0). Let i(w) = w**3 - 13*w**2 + 3*w + 13. What is the remainder when i(m) is divided by 27?
25
Suppose -5*i - 3*p + 377 = 0, 7 = -3*i - 2*p + 234. Let y be 40/(-3)*48*(-2)/10. Suppose -5*m + 318 = y. What is the remainder when i is divided by m?
35
Suppose 454*m + 14 = 456*m, 4*a - 233 = m. What is the remainder when 1000 is divided by a?
40
Suppose 3*b - 212 = -t, 5*t + 86 + 96 = 3*b. Let m be (2 + 0)*(-15 - -17). Suppose -r = -21 - m. What is the remainder when b is divided by r?
19
Let p be (5/(100/24))/(9/(-210)). Let a = 8 + p. Let j = 47 - a. Calculate the remainder when j is divided by 14.
11
Let n be 5/(-25) + (-1 - (-664)/(-5)). Let l = n + 142. What is the remainder when l is divided by (-10)/(-3)*(-24)/(-10)?
0
Let a(w) = w**2 + 149*w - 159996. Suppose 4*t + t + 123 = 4*s, -4*s = -4*t - 124. What is the remainder when a(333) is divided by s?
30
Let a be 2 + (20/(-5))/(-2). Suppose -3*o - 37 = -a*o + 2*q, 4*q = 20. What is the remainder when o is divided by 25?
22
Suppose -n + 31 = -5*h, 8