 y(d) = 4 + 8*d**2 + d**2 + d - d**2 - d**3 - 1. What is the remainder when y(m) is divided by 30?
29
Suppose -i + 63 + 40 = 2*j, 2*j - 3*i - 107 = 0. Let g = 0 + 0. Suppose g = -0*w - 2*w + 36. Calculate the remainder when j is divided by w.
16
Suppose 0*l = 4*k - 4*l - 660, 0 = 3*k - l - 499. Let n be 73*(-14 - -13) + (2 - 1). Let s = k + n. Calculate the remainder when s is divided by 32.
31
Let a be (-39)/12 + (-1)/(-4). What is the remainder when a/((-236)/(-124) - 2) is divided by ((-8)/6)/(5/(-45))?
7
Suppose 9*o - 6 = 12. Suppose -10*b - o*v = -6*b - 130, 3*b - 4*v = 70. What is the remainder when b is divided by 21?
9
Suppose 29*r = 4*r + 10*r + 8205. What is the remainder when r is divided by 125?
47
Suppose -19*n - 2*n = -798. Let w = n + 27. Let m(h) = -3*h**3 - h**2 + 3*h + 3. Calculate the remainder when w is divided by m(-2).
14
Let c(w) = 53*w**2 - 38*w - 83. Calculate the remainder when 1389 is divided by c(-2).
159
Let t be 5135/(-12) - (-2)/(-24). Let w = -237 - t. Calculate the remainder when w is divided by 48.
47
Let x = 50566 + -50556. Suppose 3*l = -4*g + 5, 2*g - 4*l - 9 = l. Calculate the remainder when x is divided by g.
0
Suppose 12 + 4 = 8*r. Suppose 2*o + o - 73 = -5*h, -18 = -r*h - 4*o. What is the remainder when 29 is divided by h?
12
Let d(h) = h**2 - 247*h - 38744. Suppose -2*w + 5*w = 63. What is the remainder when d(-109) is divided by w?
18
Suppose 3600 + 208 = -14*s. Let t = s - -493. What is the remainder when t is divided by 37?
36
Suppose 147*w = 514 + 2089 + 1219. What is the remainder when 58 is divided by w?
6
Let o(i) = 2*i**3 + 4*i**2 + 32*i + 67. Calculate the remainder when o(11) is divided by 29.
27
Suppose -38*n = -34*n + 28. Let l(p) = -p**3 - 10*p**2 - 13*p - 37. Let o be l(n). Let z = 163 + o. What is the remainder when z is divided by 37?
33
Suppose -k + 47*l = 48*l - 20, -3*k = -l - 40. Calculate the remainder when 1949 is divided by k.
14
Let r(h) = -3967*h + 11926. Let l be -1*5/(5/6). Calculate the remainder when r(3) is divided by 88/6 - (-4)/l.
11
Let q = 35565 - 35535. What is the remainder when 12568 is divided by q?
28
Suppose -9*i - 81 = 0, 0 = 5*z - 16*i + 14*i - 133. Let t = 16 - 9. Calculate the remainder when z is divided by t.
2
Let i(z) = 5*z**3 - 5*z**2 - z + 10. Let t(d) = 2*d + 12. Let j be t(-5). Suppose -p = 3*p - 552. Calculate the remainder when p is divided by i(j).
26
What is the remainder when 186 is divided by -17 + 704/22 + 15?
6
Suppose 3*n = 5*a + 72, -5*n + 86 = -2*a + 5*a. What is the remainder when (13 - 14)/(6/(-384)) is divided by n?
7
Suppose -1540 = -29*t + 664. What is the remainder when t is divided by -52*(100/(-360) - 4/18)?
24
Let f(w) = w**3 - 71*w**2 + 8*w - 403. What is the remainder when 418 is divided by f(71)?
88
Let u = 7651 - 7628. What is the remainder when 244 is divided by u?
14
Suppose 6*f + 0*f = 84. Suppose f*n = -9*n + 184. Calculate the remainder when 223 is divided by n.
7
Let q(i) = 5*i**2 + 165*i + 58. What is the remainder when q(-33) is divided by 30?
28
Let s(u) = -u**3 - 44*u**2 + 91*u + 4. Calculate the remainder when s(-46) is divided by 19.
12
Suppose -20*f + 1498 = -333 - 1829. What is the remainder when 2560 is divided by f?
181
Let r be 478/(-10) - (-3)/(-15). Let j be -80*(-6)/(r/(-20)). Suppose b + j = 6*b. Calculate the remainder when b is divided by 15.
10
Let y(c) = -3*c + 63 + 2*c - 62. Calculate the remainder when 48 is divided by y(-13).
6
Let h = 8 - 14. Let f = h + 33. Let w = -6621 - -6728. What is the remainder when w is divided by f?
26
Let b = 330 - 327. Calculate the remainder when (-1 - 23)*(12 + 150/(-12)) is divided by b.
0
Suppose 485*k = 493*k - 1471 - 401. Calculate the remainder when k is divided by 30.
24
Let v(n) = -48*n + 308. Calculate the remainder when 333 is divided by v(3).
5
Calculate the remainder when 5480/6 + (-3384)/(-1269) is divided by 100.
16
What is the remainder when 1317 is divided by 13 + 34 + -3 + (-1*4)/1?
37
Suppose 12*v = 129 + 351. Suppose -5*u - v = -5*i, 6*u + 3 = 5*u. Calculate the remainder when 8 is divided by i.
3
Let u(l) = l**2 + 21*l + 112. Let d be u(-9). What is the remainder when 23 + d + (-6)/(-6) is divided by 1?
0
Let f(r) = -r**2 + 252*r - 2636. What is the remainder when (1 + -2)/(1/(-133)) is divided by f(11)?
13
Let z(m) = -37*m + 113. Let y be z(3). Suppose -y*u + 29 = -79. What is the remainder when 161 is divided by u?
53
Suppose -255 = -4*z + j, -13*j = 5*z - 14*j - 319. Let h(s) = 3*s - 21. What is the remainder when z is divided by h(15)?
16
Let u = -18114 + 18216. Calculate the remainder when 736 is divided by u.
22
Let z(u) = u**2 - 2*u - 5. Suppose 0 = -5*q + 4*f + 291, 4*f - 122 = -26*q + 24*q. What is the remainder when z(12) is divided by q?
56
Let u(v) = v + 14. Suppose -3*r - 2*o - 35 = 0, 0 = r + 4*r + 2*o + 57. Calculate the remainder when 5 is divided by u(r).
2
Let g(v) = v + 84. Suppose -3*b + 75 = -4*w, -b + 14 = -3*w - 21. What is the remainder when g(0) is divided by b?
16
Suppose -2*t = -2*h + 102, -4*h + 27*t - 25*t + 218 = 0. What is the remainder when 4522 is divided by h?
56
Suppose -4*z + 2*m = -7 + 9, -z = -4*m + 18. Suppose d - 17 = 5*j, 20 - 24 = -z*j. Calculate the remainder when 49 is divided by d.
22
Suppose 5*h = -439 + 689. Calculate the remainder when -1 - (-5 + 4) - -148 is divided by h.
48
Suppose -5 = -2*z - 2*i + 23, 3*z - 30 = i. Suppose z*l - 2 - 53 = 0. What is the remainder when 12 is divided by l?
2
Suppose v - 3*h - 8 = 0, -2*v + 5*v = -4*h + 11. Suppose v*a - 3*a = 4*o + 6, 5*o + 5 = 0. Calculate the remainder when 7 is divided by (a + 12/(-4))/(-2)*1.
0
Let y(s) = s**2 + 36*s - 936. Calculate the remainder when y(-57) is divided by 2.
1
Let w(j) = j**2. Let c be w(0). Suppose 0 = -c*p - 3*p + 5*l + 284, -p - 2*l + 113 = 0. What is the remainder when p is divided by 40?
23
Suppose 0 = -57*v + 46*v + 198. What is the remainder when 3401 is divided by v?
17
Suppose -5*r = -2*s + 20, 4*s + 3*r + 40 = 8*s. Suppose i - 2*i = -108. Suppose -12*o = -s*o - i. What is the remainder when o is divided by 8?
6
Let h be (-4)/(-26) + ((-14916)/(-52) - 7). Suppose 4*y + 0*k = -4*k + h, 2 = k. Let a = y + -48. What is the remainder when 75 is divided by a?
15
Let c(f) = 174 - 41*f - 3*f**2 + 2*f**2 + 72 - 33. What is the remainder when c(-27) is divided by 11?
8
Suppose -3*b = -7 - 14. Suppose 21 = 4*p - 3*r, 5*r - 2*r + 3 = -2*p. Suppose w = -1, -c - b*w + 65 = -p*w. What is the remainder when c is divided by 14?
13
Let u = 171 - 86. Suppose t - 5*c = -0*t + 39, 0 = 5*t - 3*c - u. Suppose 17 = d - 9. Calculate the remainder when d is divided by t.
12
Let u = -4381 - -4511. What is the remainder when u is divided by 41?
7
Suppose 0 = b + 4*m - 127, -3*b + 4*m + 707 = 2*b. Suppose 0 = -s - 36 + 85. What is the remainder when b is divided by s?
41
Suppose 10 = 5*x, 0 = -3*i - 0*x + 3*x + 27. Suppose -3*n = n. Suppose -5*j - 22 + 107 = n. What is the remainder when j is divided by i?
6
What is the remainder when 288 is divided by (2 + 7/(-3))/(163780/16380 + -10)?
15
Calculate the remainder when (-4)/2 + 22686/(-10)*245/(-147) is divided by 30.
29
Suppose -44 = 2*s - 13*s. Suppose 2*b = 4*k - 12, 4 - 12 = -4*k + s*b. What is the remainder when 18 is divided by k?
2
Let x be 3 + (-3)/(-2 - 1). Suppose -x*j + 659 = -v, -2*j + j + 161 = -4*v. Let g(y) = 52*y + 184. What is the remainder when j is divided by g(-3)?
25
Let w = 3253 - 3221. What is the remainder when 137 is divided by w?
9
Let f(g) = -171*g**3 - g**2 - 36*g - 35. What is the remainder when 5637 is divided by f(-1)?
165
Suppose 4*m + 1155 - 1355 = 0. Let t = 7 - -10. Calculate the remainder when m is divided by t.
16
Calculate the remainder when 5084 is divided by -2*(-130 + 2 + 22).
208
Let y be ((-1)/2)/(5/(-20)). Suppose 0 = 2*g - 0*g - 2*o - 76, 3*g = y*o + 109. Suppose 23*b - 19*b = 72. What is the remainder when g is divided by b?
15
Let q(b) be the second derivative of b**3/3 + 24*b**2 - b + 2. Let s be q(-23). What is the remainder when 179 is divided by (s - 5)/(7/(-70))?
29
Calculate the remainder when 368 is divided by (21/(-42))/(3/(-30)).
3
Let j(v) = v**3 - 8*v**2 + 9*v - 10. Let p be j(7). Let b be 3 + p/(-10) + (-2)/(-5). Suppose 58 - 202 = -b*x. 