he remainder when w is divided by 13.
3
Let m(j) = -47*j - 9. Suppose -2*o = 3*b - 16, 9*o + b + 3 = 10*o. Calculate the remainder when m(-3) is divided by o.
2
Suppose -31 = -2*k - 5*i, -5*i - 23 = -k - 9*i. What is the remainder when 239 is divided by 5 - 27/k - -34?
29
Suppose -4*l = 10*f - 15*f + 7285, 0 = -3*f - 5*l + 4408. Suppose -879 - f = -20*z. Calculate the remainder when z is divided by 50.
17
Suppose -30*q = -33*q + 9. Suppose -3*t + g = -18, 3*t + 0*g - q*g = 24. Calculate the remainder when 16 is divided by t.
1
Let h(a) = -6*a**3 + 9*a**2 + 106*a + 657. What is the remainder when h(-6) is divided by 91?
3
Suppose -3*i = 3*k - 306, 5*k + 3*i - 713 = -205. What is the remainder when k is divided by 55?
46
What is the remainder when 7480 is divided by (18/(-24)*(-195)/9)/(5/8)?
18
Calculate the remainder when 548 is divided by 3/((-69)/(-2)) - 48441/(-16629).
2
Calculate the remainder when 4/7 + 312422/1694 is divided by 82.
21
Suppose -18*n + 10 = -17*n. Suppose 0 = o - 19 - 16. What is the remainder when o is divided by n?
5
Suppose -6*d = -d - 5*u - 40, -20 = -2*d + u. Suppose -w + 5*j = 2*w + 8, 3*j = 5*w + 24. Let s = w - -13. Calculate the remainder when d is divided by s.
5
Suppose -n - 2*w = -0*n - 12, -5*n + 21 = -3*w. Suppose n*y - 1275 = y. Suppose -2*c - 3*c + y = 0. Calculate the remainder when c is divided by 14.
9
Let a be (-2 - -125)/((-7)/(-2) + -2). Let x = a + -64. Suppose -2*j - 10 = -2*t + 30, 5*t + 5*j - 50 = 0. Calculate the remainder when x is divided by t.
3
Let t(x) = 4*x**2 - 4*x. Suppose 0 = 215*p - 26*p + 1528 - 6253. Calculate the remainder when t(-3) is divided by p.
23
Let u = 79885 + -55469. What is the remainder when u is divided by 29?
27
Let z(b) = -b**2 - 6*b + 6. Let a = 74 + -65. Suppose -1 = -p - 4*x, 2*p + 3*x = a + 3. Calculate the remainder when z(-4) is divided by p.
5
Let f(d) = 232*d + 1927. Calculate the remainder when f(-8) is divided by 18.
17
Let s = 22 - 19. Suppose s*z - 3*m - 24 = 0, -2*m - 13 = -z - 0*z. Calculate the remainder when 38 is divided by 2/(-3)*(-90)/z.
18
What is the remainder when -7 + 5 + -4*(3 - 5) + 195 is divided by 26?
19
Let c = 141 - 23. Calculate the remainder when 468 is divided by c.
114
Let u(r) = -4*r**3 - 4*r**2 - 12. Let d(z) = -z**3 - 14*z**2 + 28*z - 67. Let n be d(-16). Calculate the remainder when u(n) is divided by 16.
12
Let d be 36/(-45)*370/(-4). Suppose q + 90 = 2*j + 6*q, -2*j = q - d. What is the remainder when j is divided by 17?
1
Let w = 57 + -27. Suppose -5*m = 3*k - 54, -5*k + 2*m + 29 = -w. Let p = 27 - k. Calculate the remainder when 66 is divided by p.
10
Suppose -66*d = 60*d - 125*d - 66. What is the remainder when d is divided by 59?
7
Let i = -30758 + 30935. What is the remainder when i is divided by 36?
33
Let i(t) = -t**3 - 30*t**2 + 16*t - 10. Calculate the remainder when i(-31) is divided by 76.
75
Suppose 3*t + 34 = 3*m + 22, 3*m - 5*t - 4 = 0. Suppose -2*q + 4*p = -154, 7*q - m*q + 92 = 3*p. Calculate the remainder when 259 is divided by q.
10
Calculate the remainder when 355 is divided by (-3688)/(-72) + (-14)/(-18)*82/(-287).
49
Let j = -4914 - -4972. What is the remainder when 127 is divided by j?
11
Let z(f) = -6*f + 19. Let n(p) = -8*p + 39. Let j(l) = -2*n(l) + 5*z(l). Calculate the remainder when j(-7) is divided by 10.
5
Suppose -181*u = -217*u + 38325 + 17583. What is the remainder when u is divided by 14?
13
Let n(z) = z**2 - 23*z + 12. Let t be n(24). Suppose -t*x = -11*x - 325. Let d(r) = r**3 - 5*r**2 + 3*r - 3. Calculate the remainder when d(6) is divided by x.
12
Suppose s + 3*v + 5661 = 3*s, 0 = -2*s - 5*v + 5653. Calculate the remainder when s is divided by 8.
5
Let i(y) = 1092*y - 461. What is the remainder when i(3) is divided by 60?
55
Let h(k) be the second derivative of k**4/12 - 7*k**3/2 - 14*k**2 - 5*k + 9. What is the remainder when h(-7) is divided by 19?
16
Suppose 0*n = -5*w - 5*n + 10, -10 = -3*w - n. Let u be w/6 - 970/(-30). What is the remainder when 4/6 + 539/u is divided by 5?
2
Let j(k) = -k**3 + k**2 + 52 - 15 + 10 - k. What is the remainder when (180/(-360))/((10/(-40))/((-139)/(-2))) is divided by j(0)?
45
Suppose 0 = 3*b + 4*i - 271, 3*b + i = -4*i + 275. Let s be (-72)/(-168) - (-4934)/(-14). What is the remainder when b is divided by (-7 + 6)/(8/s)?
41
Suppose 167*w = 1928 + 2474 + 3447. Calculate the remainder when 982 is divided by w.
42
Suppose 1339 = -3*h - j - 3*j, 0 = j - 5. Let f = h - -729. Calculate the remainder when f is divided by 56.
52
Let c = 23525 + -14495. What is the remainder when c is divided by 18?
12
Suppose 13*q = 7 + 6. Suppose -3 = -a - 5*n - q, 3*a - 6 = -n. What is the remainder when (10/4)/((-5)/(-10)) is divided by a?
1
What is the remainder when 3870 - (171/(-57) + (7/1 - 3)) is divided by 16?
13
Let x be ((-207)/(-6))/(-1)*20/15. What is the remainder when (x/(-3))/(-10 - (-224)/21) is divided by 16?
7
Suppose 7668*t - 7697*t + 28594 = 0. Calculate the remainder when 1984 is divided by t.
12
Suppose -q - 6 = r, -22 = q - 2*r + 7*r. Let y be q*(-1)/11 + 14716/11. Suppose 2*u + y = 8*u. What is the remainder when u is divided by 32?
31
Let i(q) = 17 - 9 + 8*q - q + 23 - 5*q. What is the remainder when 29 is divided by i(-5)?
8
Suppose 0 = 10*d + 2837 - 2987. What is the remainder when 613 is divided by d?
13
Suppose a = -10*a + 2662. Suppose -a = -3*d - q, 5*d - 217 = 2*d + 4*q. Calculate the remainder when d is divided by 8.
7
Let y = 296 - 178. Let i(w) = -5*w - 17. What is the remainder when y is divided by i(-11)?
4
Let c(n) = -182*n**3 + n**2 - 1. Let r(f) = -f**3 + 11*f**2 - 17*f - 3. Calculate the remainder when c(-1) is divided by r(5).
58
Suppose -8 = -w + 2*y + 48, -3*w + y + 188 = 0. Calculate the remainder when w is divided by 25.
14
Calculate the remainder when -4 + 2 - -1 - (-6516 + -73) is divided by 19.
14
Suppose -5*t + 2*z = -23, -11*t + 10*t - 5*z = 17. Suppose 3*k - 31 = -5*d, t*k = 5*d - 30 + 71. What is the remainder when 64 is divided by k?
4
Let f(r) = 6*r**2 - 17*r + 70. Let i(v) = -v**2 + 2. Let b(a) = f(a) + 5*i(a). Suppose 0 = 3*s + s - 92. Calculate the remainder when s is divided by b(7).
3
Suppose 0 = 5*t + w - 1692, -324 = -223*t + 222*t - 5*w. Calculate the remainder when t is divided by 58.
49
Suppose 0 = 53*d + 10353 - 81214. What is the remainder when d is divided by 436?
29
Let k(p) = 35*p**2 - 3883*p - 192. What is the remainder when (-3)/(-2) - 555/(-10) is divided by k(111)?
27
Let m(v) = -55 + 33*v - 12*v - 16*v + 201 - 31*v. What is the remainder when 26 is divided by m(5)?
10
Let i = 3231 - 3155. Calculate the remainder when i is divided by 19.
0
Let g(u) = 63*u**2 - 126*u - 522. What is the remainder when g(-4) is divided by 54?
18
Suppose 2 - 14 = -4*s. Let v(c) = 104*c + 11. What is the remainder when v(1) is divided by 1/2*174/s?
28
Let z be (-33)/(-21) + 6/14. Suppose -z*v = 5*s - 50 + 2, 3*v - 22 = 5*s. What is the remainder when 52 is divided by v?
10
Suppose -199*u - 71*u + 27469 = -31391. What is the remainder when u is divided by 86?
46
Calculate the remainder when 222 is divided by 1/(-8)*1 + -11 + (-1885)/(-104).
5
Suppose -2*z + 3959 - 3943 = 0. What is the remainder when 42 is divided by z?
2
Let t(f) = f**2 - 31*f + 600. What is the remainder when t(50) is divided by 27?
11
What is the remainder when ((65/2)/65)/((-2)/(-11924)) is divided by 19?
17
Let p(h) = 233*h**2 + 2*h - 5. Let u be p(-3). Suppose -3*x - 1139 = -2*n, 5*n - u = -5*x + 749. Calculate the remainder when n is divided by 57.
55
Suppose 0 = 7*k - 1204 - 210. Let b = k + -152. Calculate the remainder when 145 is divided by b.
45
Suppose -8*i = -7*i + 265. Let u = 164 - i. Calculate the remainder when u is divided by 43.
42
Suppose 0 = 23*a - 43*a - 120. Let g(o) = o**3 + 8*o**2 + o - 31. Suppose 252 = 5*m - 243. Calculate the remainder when m is divided by g(a).
29
Let d(a) = 30*a + 2099. Let n(u) = u**2 - 2*u + 1. Calculate the remainder when d(-68) is divided by n(-2).
5
Suppose -75 - 121 = -4*z. Calculate the remainder when (-2054)/(-14) - (-28 - (-6032)/203) is divided by z.
47
Let c = 1430 + -1355. Calculate the remainder when 161 is divided by c.
11
Calculate the remainder when 8206 is divided by (-1505)/(-430)*(-216)/(-1