1
Let u be 89 - (3/1 - 1). Suppose -2*v = 6, v + u = 4*w + 4*v. Let g = 35 - w. Calculate the remainder when 31 is divided by g.
9
Suppose 0 = -59*g + 1110 + 1486. Calculate the remainder when 1319 is divided by g.
43
Let d = 292 + -282. Let n = 14 - 9. Suppose 5*w = n*s + w - 177, w - 2 = 0. What is the remainder when s is divided by d?
7
Suppose -2*k + 39 - 15 = 0. Suppose 2*i + z = -4*z + 24, z = 2*i - k. Let x(h) = h**2 + 2*h - 4. What is the remainder when i is divided by x(-4)?
3
Let b = 939 - 919. Calculate the remainder when 78 is divided by b.
18
Let h be 35/(-21)*(-2 + -1). Suppose -4 = -h*n + 21. What is the remainder when 27 is divided by n?
2
Let o(m) be the third derivative of -m**6/120 + 11*m**5/60 - m**4/24 + 8*m**3/3 - 12*m**2. What is the remainder when o(11) is divided by (4/3)/((-2)/(-3))?
1
Let y(v) = -v**2 - 5*v + 10. Let t be y(-7). Let d be -4 + (163 - (-5 - t)). Suppose -2*i - 3*i = -d. What is the remainder when i is divided by 12?
8
Let t = 56 - 10. Suppose k - 5*o - 18 = -6*o, 4*k = 3*o + 58. What is the remainder when t is divided by k?
14
Let b(r) = r**3 - 7*r**2 + 6. Let k be b(6). Let u be k/(-70) - 8893/7. What is the remainder when u/(-40) - (-1)/4 is divided by 12?
8
Let a = 866 - 851. What is the remainder when 297 is divided by a?
12
Let a = -21 + 30. Suppose -l = 2*p - 16, a*p - 4*p + 44 = l. What is the remainder when l is divided by 13*(0 - 3)/(-3)?
11
Suppose -8*b - 48 = -14*b. Suppose -b*f + 48 = -4*f. What is the remainder when 81 is divided by f?
9
Calculate the remainder when (4 + -3)*-8*-11 is divided by 7.
4
Suppose -2*v - 342 = -2*s, 315 = 5*s - 3*v - 544. Let p = -37 + 72. Calculate the remainder when s is divided by p.
33
Let v(m) = 2*m**2 - m + 24. What is the remainder when v(9) is divided by 90?
87
Let v(x) = -x**3 + 2. Suppose 4*z - 3*h - 29 = -z, -2*z - 5*h - 7 = 0. Suppose -k - z = -2*k. Calculate the remainder when k is divided by v(0).
0
Let j = -56 - -54. What is the remainder when 84 is divided by (-340)/(-12) + (j - (-16)/6)?
26
Suppose 10*v = -3*u + 12*v + 363, -2*u - 2*v = -252. What is the remainder when u is divided by 20?
3
Let o = 159 - 97. Suppose 0*l + o = 2*l - 3*n, -180 = -5*l - 5*n. Suppose f = 2*f - 9. What is the remainder when l is divided by f?
7
Suppose 2*c + 3*a = 134, -4*c - 3*a + 268 = -7*a. Let k(p) = -15*p + 1. Let x be k(-3). Suppose -3*b + b = -x. What is the remainder when c is divided by b?
21
Let j(g) = -3*g + 1. Let n be j(-3). Let w(y) = -n*y + 0*y**2 - 6 + 9 + y**2. Calculate the remainder when 53 is divided by w(11).
11
Let x(r) = r**2 + 11*r - 16. Suppose 34 + 8 = -3*n. What is the remainder when x(n) is divided by 10?
6
Suppose -2*h + 4 = i, 4*h - 15 = -5*i - h. Suppose -9 = -j + i*c, 3 = -5*j + 6*j - 5*c. Calculate the remainder when 103 is divided by j.
12
Let n = -11 + 12. Suppose -v + 68 - n = 0. What is the remainder when v is divided by 23?
21
What is the remainder when 98 is divided by 303/12 - (-27)/36?
20
Let z = 92 + -70. What is the remainder when z is divided by (1 - -1)*(5 - 1)?
6
Let m(a) = a**2 - 8*a - 39. Calculate the remainder when m(13) is divided by 8.
2
Suppose -9*f + 66 + 51 = 0. Calculate the remainder when 40 is divided by f.
1
Let q be (-12)/(-20) + 13/(-5). Let m be (-1 + 0)/(q + 1). What is the remainder when 17 is divided by (6/(-18))/(m/(-27))?
8
Let f(q) = 5*q - 9. Suppose 96 = 3*b + 2*i, 29 + 8 = b - i. Suppose b = 5*n - 26. Calculate the remainder when f(n) is divided by 13.
12
Let g = -188 - -241. What is the remainder when 314 is divided by g?
49
Suppose -17*n - 39*n = -952. Calculate the remainder when 32 is divided by n.
15
Suppose -2 - 6 = -2*y. Suppose -2*h - 13 = -q, 4*h = -q - 54 + 13. Calculate the remainder when 35 is divided by 3 + 1 - h - y.
8
Let j = 65 - 9. Suppose -14 = -r - 4*n, 0*n + 3*n - j = -4*r. Let m = 93 + -54. Calculate the remainder when m is divided by r.
11
Calculate the remainder when 377 is divided by (6 + (-175)/28)/((-1)/20).
2
Suppose 0 = -22*m + 24*m - 244. Let f = m - 104. Suppose 0 = -w + 3, 2*r = -3*w + 166 - 53. What is the remainder when r is divided by f?
16
Let n(z) = -24*z + 13*z + 12*z. Let j(h) = h + 9. Let y be j(0). What is the remainder when 15 is divided by n(y)?
6
Let a = -881 + 888. Suppose -2*z + 55 = -u + 3, 3*z = -5*u + 78. Calculate the remainder when z is divided by a.
5
What is the remainder when 151 is divided by -5 - -54*(-3)/(-9)*2?
27
Suppose 0 = -4*o - o + 1575. Suppose -351 = -4*r - r - 4*d, -5*d - o = -5*r. Calculate the remainder when r is divided by 34.
33
Suppose 0 = -5*k + k. Let l(b) = k*b - 9 - 10 + 3*b. What is the remainder when l(17) is divided by 17?
15
Suppose 0*y = 3*y - 9. Suppose -2*i + y*x = 2, -x = -i + 3*x - 11. Suppose 3*c = -f + 1 + 8, f + 7 = c. What is the remainder when i is divided by c?
1
Suppose y - x = 47 + 8, -2*x + 220 = 4*y. Suppose 4*r - r - y = t, -3*t = 12. Calculate the remainder when 12/((-120)/(-70)) - (-61 - (-4 + 1)) is divided by r.
14
Let n(l) = -l**3 - 8*l**2 + l. Let w = 4 - 0. Let c(t) = t**3 + 9*t**2 - t - 1. Let o(h) = w*c(h) + 5*n(h). What is the remainder when o(-5) is divided by 6?
4
Let b be (-215)/(-7) - (-12)/42. Let q = b - 17. Let v = 48 + 5. Calculate the remainder when v is divided by q.
11
Let t = -315 + 327. Calculate the remainder when 1199 is divided by t.
11
What is the remainder when (36/(-15)*-1)/(81/27270) is divided by 15?
13
Suppose -761 - 329 = -10*x. What is the remainder when 200 is divided by x?
91
Suppose 2522 = 6*g - 700. What is the remainder when g is divided by 49?
47
Suppose -3 - 1 = -2*d. Suppose 2*r + 5*p - 31 + 12 = 0, d*p - 11 = -r. Suppose -r = -2*a + 9. What is the remainder when 24 is divided by a?
11
Let n = -1 - -5. Let o = 74 - 65. Calculate the remainder when o is divided by n.
1
Let a = -6 - -21. What is the remainder when 417/a - (-16)/(-20) is divided by 15?
12
Let k be (-2)/6 + 6 + 980/(-21). Let a = k + 65. What is the remainder when a is divided by 14?
10
Let d = -1041 + 1066. Calculate the remainder when 178 is divided by d.
3
Let f = -779 - -821. Calculate the remainder when 160 is divided by f.
34
Let k(z) = 2*z - 36. Let i be k(19). What is the remainder when 4/(-3)*99/(-2) is divided by ((-6)/4 + 1)/(i/(-136))?
32
Let j(s) = s**3 - 23*s**2 + 23*s - 1. Let u be j(22). Let p = 25 - u. Calculate the remainder when 10 is divided by p.
2
Suppose 0 = 11*k + 128 - 865. Calculate the remainder when k is divided by 3.
1
Suppose -5*p - f + 5 = 0, f - 6 + 3 = -4*p. Suppose 3*r = 4*o - 175, 4*r - 86 = -p*o + 6*r. What is the remainder when o is divided by 25?
21
Let h = -7 + 7. Let z(s) = -8 + h*s**2 - 2*s + 4*s**2 + 3*s + 6*s. What is the remainder when z(-6) is divided by 24?
22
Let i = -12 - -30. Suppose -w = r - i, 22 = 6*r - 3*r - 5*w. Calculate the remainder when 40 is divided by r.
12
Calculate the remainder when (-2)/(-22) - 80054/(-286) is divided by 91.
7
Suppose 0 = -64*g + 18*g + 2714. Calculate the remainder when g is divided by 21.
17
Suppose 3*m + 33 = 4*m. Suppose -87 = 5*a - 0*f + 3*f, f + 4 = 0. Let w = a + m. What is the remainder when 51 is divided by w?
15
Suppose -4*f + 7 = 3. What is the remainder when 5/20*-2*-6 is divided by f?
0
Suppose 0 = 3*m + 5*n - 94 + 2, 0 = m - 2*n - 16. Let f = -124 - -195. Calculate the remainder when f is divided by m.
23
Suppose 4*w - 43 + 27 = 0. Suppose -4*u + 8*u + 38 = 2*k, w*u = 4*k - 92. What is the remainder when 80 is divided by k?
26
Suppose -3*c - 40 = u - 176, -u - 140 = -3*c. Suppose 4*n - 530 = 2*h, 4*h + 232 = 3*n - 163. What is the remainder when n is divided by c?
41
Let o(b) = 14*b + 13. What is the remainder when o(4) is divided by 14?
13
Let z = 37 - 105. Let x(g) = 30*g + 7. Let m be x(3). Let w = m + z. Calculate the remainder when w is divided by 15.
14
Let o = 57 - 18. What is the remainder when 271 is divided by o?
37
Suppose 0 = 3*r - 4*q - 81, 3*r - q = 2*r + 26. Let i(c) = -c**2 + 10*c + 108. Calculate the remainder when r is divided by i(-6).
11
Let l = 14 - -9. Let y(v) = -40*v**2 - 223*v - 3. What is the remainder when y(-5) is divided by l?
20
Let w = -6 + -24. Let m = -46 - -125. Let g = w + m. Calculate the remainder when g is divided by 13.
10
Suppose -506*y + 568*y = 2790. Calculate th