 remainder when 513 is divided by d.
9
Suppose -2*p = 2*p - 40. Suppose 6*x = p*x - 504. Let k(l) = l**2 + 15*l + 32. Calculate the remainder when x is divided by k(-15).
30
Suppose 161 = 5*v + 100*o - 102*o, 4*v - 5*o - 105 = 0. Calculate the remainder when (1/2)/((-1)/(-1606)) is divided by v.
33
Let p = 43 - 24. Suppose 3*a - 3 = 4*i, -3*i = 2*i - a - 10. Suppose -i*s + 0*s = -219. Calculate the remainder when s is divided by p.
16
Let b = 12523 + -11460. What is the remainder when b is divided by 15?
13
Suppose 4*w - 2*s = 994 + 2228, 2*s + 1620 = 2*w. What is the remainder when 8011 is divided by w?
1
Let k be -4*(-13)/((-65)/350). Calculate the remainder when -1*(k - 1)*1 is divided by 94.
93
Suppose 0 = -f + y + 272, -15*y + 12*y - 1090 = -4*f. What is the remainder when f is divided by 270?
4
Suppose 0 = x - q - 11, -3*x + 33 = -2*q - 0*q. Let a(y) = 43 + 4*y + y - 5*y - 2*y. What is the remainder when x is divided by a(20)?
2
Suppose 106 = q + n + 30, 5*q - 360 = -n. Let w = -24 - -65. Suppose 0 = -j - 2*x + 5*x + w, 2*x = -3*j + 112. What is the remainder when q is divided by j?
33
What is the remainder when 619 is divided by (10/3)/((-623)/(-37380))?
19
Let t(j) = -2*j**2 - 23*j - 26. What is the remainder when 825/39 - 70/455 is divided by t(-10)?
1
Let m(i) = 15*i - 118. Let n(r) = 7*r - 58. Let u(l) = -2*m(l) + 5*n(l). Calculate the remainder when 65 is divided by u(13).
10
Suppose 2*q - 7*c + 10*c + 5 = 0, 4*c = 3*q + 33. Let s(x) = x**3 + 9*x**2 + 3*x - 9. What is the remainder when s(q) is divided by 4?
0
Let q be (-4 + 6)/2*-2. Let v(i) = 120*i - 1. What is the remainder when v(1) is divided by ((-90)/4)/(q*15/40)?
29
Let s(w) = 25*w**2 + 28*w - 813. Calculate the remainder when s(20) is divided by 30.
27
Let d(n) = 13*n**3 - 2*n**2 + 4*n - 14. What is the remainder when d(3) is divided by 50?
31
Suppose -4*p + 1886 = 5*d, -4*p + 2*d + 1330 = -542. Calculate the remainder when p is divided by 105.
49
Suppose 2*t + t - 5*p = 251, -p - 259 = -3*t. Let h = -10 - -32. Calculate the remainder when t is divided by h.
21
Suppose -8*w - 105 = -11*w. Suppose w = -f - 35. What is the remainder when 63 is divided by ((-84)/f)/(6/20)?
3
Suppose -3*r - 2*a = -r - 536, -5*r = -4*a - 1322. Let z(n) = n**3 + 82*n**2 - 435*n + 30. What is the remainder when r is divided by z(-87)?
26
What is the remainder when (-1 - (-3)/5)*33440/(-152) is divided by 50?
38
Suppose -45*u + 715 = -40*u. Let w(z) = 32*z**2 - 1344*z + 36. What is the remainder when u is divided by w(42)?
35
What is the remainder when (14*(-49)/21)/(2/(-357)) is divided by 72?
71
Suppose -7056 = -24*h + 16176. Calculate the remainder when h is divided by 57.
56
Let s(w) = -2*w**2 - 8 + 12*w**2 - 8*w + 6*w + 22*w**3 - 20*w**3. Calculate the remainder when 41 is divided by s(-5).
1
Let i = 95 + 100. Let g = i - 169. Calculate the remainder when g is divided by 4.
2
Let f = 1961 - 1903. What is the remainder when f is divided by 33?
25
Let i be 98/70 + (-3)/(-5). Suppose 2*m - 3*l + 2 = 0, -3*l - i*l = -5*m + 5. Calculate the remainder when 31 is divided by m*6/40*4.
1
Suppose 35 = 2*i + 19. Let c(u) = u**2 - 13*u + 2. Let r be c(i). Calculate the remainder when 57/r + (-79)/(-2) is divided by 10.
8
Suppose -19908 + 13993 = -35*j. What is the remainder when 3714 is divided by j?
165
Calculate the remainder when 11 - (-6129)/(126/14) is divided by 192.
116
Let g(j) = -j**2 + 7*j - 9. Let s be g(8). Let a = -8 - s. Suppose -a*m + 13*m = 208. What is the remainder when m is divided by 6?
4
Suppose -18*c + 849 = -14559. What is the remainder when c is divided by 96?
88
Let n(w) = -10*w + 12*w**2 + 5*w**2 - 3*w**2 - 2*w**2 - w**3. What is the remainder when (1/(-2))/(3/(-228)) is divided by n(11)?
5
Let p = -20346 + 25416. Calculate the remainder when p is divided by 8.
6
Let x be (30 + -40)*(-36)/(-15). Suppose 0 = 5*c - 0*c - 175. Let s = c - x. What is the remainder when s is divided by 15?
14
Suppose -34 = -3*s + 4*h, 2*s - h = 6*s - 20. Let x be 3/(-1) - s/(1 + 5). What is the remainder when 41 is divided by x/(-18) + (-1860)/(-135)?
13
Suppose -9*l + 84 = -60. Let f(d) = -d - 2. Let a be f(-4). Suppose 0*b - m - 138 = -3*b, -5*b + 241 = a*m. Calculate the remainder when b is divided by l.
15
Let g = 809 + -496. Let n(p) = 45*p - 90. Calculate the remainder when g is divided by n(3).
43
Let x be (-2)/8 - 92650/(-680). Suppose 0 = 5*l + t + 365 + 222, -t = -4*l - 475. Let j = x + l. Calculate the remainder when j is divided by 11.
7
Let g be -530*1*6/(-12). Suppose 0 = -11*p + g + 98. Suppose -4*t + 226 = -150. Calculate the remainder when t is divided by p.
28
Let m(z) = -3*z - 41. Let i(c) = 5*c + 61. Let b be i(-16). Calculate the remainder when 157 is divided by m(b).
13
Let u = 280 - 261. Let o = 23 + u. What is the remainder when o is divided by 24?
18
Let w = 314 + -10. Let x = w + 42. Calculate the remainder when x is divided by 25.
21
Let d(k) = 59*k + 139. Suppose 0 = -6*p + 432 - 108. What is the remainder when d(4) is divided by p?
51
Suppose 6*r - 6*r - 5*r + 65 = 0. Calculate the remainder when 478 is divided by r.
10
Suppose 67*c = 68*c + 2. Calculate the remainder when ((-648)/48)/(c/4) is divided by 14.
13
Let k(b) = -b**2 + 9*b + 11. Calculate the remainder when k(8) is divided by (6/21)/(4/154).
8
Let b = -10315 - -10361. What is the remainder when 11818 is divided by b?
42
Let t(b) = -b**2 + 23*b + 59. Suppose -150 = 10*h - 16*h. Let y be t(h). What is the remainder when 117 is divided by ((-40)/3)/((-6)/y)?
17
Let i be (6/6)/((-1)/1). Let h be (-10 - 32)/(i/3). Suppose 3*n + h = 5*n. What is the remainder when n is divided by 8?
7
Let h(k) = k**3 + 3*k**2 + k + 77. What is the remainder when 238 is divided by h(-5)?
18
Suppose -15769*w + 15768*w - 5*b - 11 = 0, 3*b = -48. Calculate the remainder when w is divided by -6*9/(-2) - -2.
11
Suppose 5*t - 2*s - 199 = 0, -14*t = -10*t + 4*s - 176. What is the remainder when 283 is divided by t?
37
Let c = 26356 + -22650. What is the remainder when c is divided by 617?
4
Let a = 27 + -25. Let f(q) = -q + 3*q**a - 33 + 5 + 19*q**2 - q**3 - 18*q. What is the remainder when 21 is divided by f(21)?
7
Suppose 119*l - 118*l - 3*m = 187, l = -2*m + 182. Suppose -2*o + 25 = 3*h, 2*o - h - 40 = h. Calculate the remainder when l is divided by o.
14
Let g = 6 - -44. Let n = g - 37. Let u(z) = 13*z**3 + z**2 - 6*z + 5. What is the remainder when u(2) is divided by n?
10
Let s(c) = 4*c**2 - 83*c - 27. Let u be s(21). Let n(t) = -t**3 + 8*t**2 + 6*t - 7. What is the remainder when n(u) is divided by 77?
76
Let a = 234 + -267. Let l = 41 + a. Calculate the remainder when 47 is divided by l.
7
Let z = 185 - 185. Suppose z*o = 5*o, -2*w - 5*o + 26 = 0. What is the remainder when 57 is divided by w?
5
Suppose -i + 173 = 5*q, 34*i - q + 589 = 37*i. Calculate the remainder when 605 is divided by i.
11
Suppose 0 = -119*c + 47*c + 72. Calculate the remainder when 66 is divided by c.
0
Suppose r = -s + 702, -167 - 526 = -s - 4*r. Suppose 5 - s = -5*h. Let n = -129 + h. Calculate the remainder when n is divided by 7.
4
Suppose 2*j = -x + 167, x - 2*j - 137 = 26. Suppose 41*s - x = 26*s. What is the remainder when 21 is divided by s?
10
Let h(n) = 4*n + 16. Let q be h(-4). What is the remainder when (2 + q)/(27/2538) is divided by 5?
3
Suppose -36 = -4*o + 24. Let d(b) = 2*b + 4. What is the remainder when (o/2 - 0)/(11/154) is divided by d(16)?
33
Let c = -5859 + 6173. Calculate the remainder when 1257 is divided by c.
1
What is the remainder when ((-8)/5)/(4/(-1910))*(-51)/(-68) is divided by 14?
13
Suppose -4*c - 20 = 0, -q - 13*c + 10 = -8*c. Let s(y) = -y + 9. Let g be s(8). What is the remainder when q is divided by -3 - (-18 + 1 + g)?
9
Let h = -10 + 31. Let y = -43417 + 43456. Calculate the remainder when y is divided by h.
18
Let j = -26856 + 26948. Calculate the remainder when 729 is divided by j.
85
Suppose 50*k - 8598 = 48*k + 5*a, 0 = 2*k + 22*a - 8382. What is the remainder when k is divided by 28?
23
Let q = -707 + 727. What is the remainder when q is divided by 14?
6
Suppose -205 = -3*r + 32. Suppose r + 74 = 3*p. Let u(h) = h**2 + 15*h + 49. What is the remainder when p is divided by u(-12)?
12
Suppose 3*p - 8 = 22. Let t = 