?
19
Let v be (-3 - -73) + (1 - -1). Suppose -v = -5*w + 133. What is the remainder when w is divided by 192/12 + (-20)/4?
8
Let l(o) be the first derivative of 2*o**3/3 - 21*o**2/2 - o + 58. What is the remainder when l(13) is divided by 20?
4
Let u = -12 - -2. Let i = u + 23. Suppose 555*n - 1363 = -681 + 3758. Calculate the remainder when i is divided by n.
5
Let u = -25 + -42. Let a = 81 + u. Let i(w) = -w**3 + 13*w**2 + 18*w - 27. What is the remainder when 172 is divided by i(a)?
27
Let s(d) = 8 - 2*d**2 + 0 + 12*d - d**3 - 9*d. Let o be s(-2). Suppose -p + 3*v + 56 = 4*p, -o*p = -5*v - 30. What is the remainder when p is divided by 3?
1
Let o = 11 + -31. Let z(w) = 20*w + 11*w + w**2 + 21 - 24*w + 11*w. What is the remainder when z(o) is divided by 13?
9
Let q = 68 - 33. What is the remainder when 6 - ((-12576)/8)/12 is divided by q?
32
Let t = -9295 - -9714. What is the remainder when t is divided by 103?
7
Suppose 4*x = 10 + 6. Suppose 0 = 3*b + 3, v + 3*b - x*b - 68 = 0. What is the remainder when v is divided by (10/15)/(4/138)?
21
Let f = -2548 + 2868. What is the remainder when 648 is divided by f?
8
Let p = 13 - 5. Calculate the remainder when 107 is divided by (-4)/(-16) - (-86)/p.
8
Suppose -3*y = 8*y - 4092. Suppose -8*n = -1700 + y. What is the remainder when n is divided by 42?
40
What is the remainder when ((-50)/15 - -4)/((-180)/(-676350)) is divided by 835?
0
Let u(s) = s**3 - 4*s**2 - 13*s + 13. Suppose 0 = 4*q - 20, 2*g = 6*g + q - 29. Suppose -20 = -0*w - 5*w. What is the remainder when u(g) is divided by w?
3
Suppose 0 = -g + 2*g - 38. Let o = 5498 + -5347. Calculate the remainder when o is divided by g.
37
Let k = -11679 - -12156. What is the remainder when k is divided by 13?
9
Let d(o) = o**2 - o. Let h(r) = 3*r**2 - 3. Let c(q) = 2*d(q) - h(q). Let y be c(0). Suppose -7*w + 124 = -y*w. What is the remainder when 154 is divided by w?
30
Suppose 1912 - 87 = 1199*g - 1126*g. Suppose 486 = 3*z + 3*c, 3*z - 429 = 2*c + 72. Calculate the remainder when z is divided by g.
15
Suppose -11*x = 42 + 13. What is the remainder when 44 is divided by x/10 + (-84)/(-8)?
4
Suppose 0 = 2*t + t. Suppose -4*o + m + 87 = t, o = -4*o + 5*m + 120. What is the remainder when 353/3 - 584/(-3285)*30 is divided by o?
18
Let f = -597 - -610. Suppose 2*r - f = -3*w, 6*w - 3*w = -4*r + 29. Calculate the remainder when 213 is divided by r.
5
Let v = 337 + -326. Calculate the remainder when 3771 is divided by v.
9
Let m(j) = -j - 5*j - 9*j + 12*j. What is the remainder when m(-27) is divided by 14?
11
Suppose -2*f + 27*i = 29*i - 64, -3*i = -6. What is the remainder when 2870 is divided by f?
20
Let l(g) = g**2 - 15*g + 58. Let a be l(4). Suppose -2*u + 90 = 3*u - 5*i, u + 5*i = 12. Let y = u - a. What is the remainder when y is divided by 2?
1
Suppose y = -2*u + 238, 24 - 12 = -2*y. Calculate the remainder when 495 is divided by u.
7
Suppose 0 = -2*m + 3*z - 7*z + 120, 0 = m + z - 55. Suppose -9*j = 13 + m. Let p(f) = f**2 - 5*f + 1. Calculate the remainder when p(j) is divided by 11.
8
Let h(l) = l**2 + 16*l + 5. Let z(j) = j**3 - 7*j**2 - 4*j + 10. Let u be z(7). Let a = 2 + u. What is the remainder when h(a) is divided by 2?
1
Suppose 134*l + 21612 - 550335 = 17*l. Calculate the remainder when l is divided by 34.
31
Let w(p) = 50*p**2 - 2100*p + 6. Let l = -101 - -199. What is the remainder when l is divided by w(42)?
2
Let b = -401 + 409. Suppose -13*f - b*f = -9807. Calculate the remainder when f is divided by 18.
17
What is the remainder when 1392 is divided by 6/(216/30) + (-9919)/(-42)?
207
Let t = -20 + 32. What is the remainder when t is divided by ((-6)/(-12))/(2/12)?
0
Suppose j = -2*j - 3*j. Suppose -28*r + 23*r = j. Suppose q + 297 = 4*s, -s - 17*q + 15*q + 81 = r. Calculate the remainder when s is divided by 26.
23
Let u(l) = 56*l**2 - 3*l. Let c = -39 + 41. Let k be u(c). Let g = -130 + k. What is the remainder when g is divided by 24?
16
Let p(g) be the second derivative of 3*g**2 + 1/12*g**4 + 13/6*g**3 - 25*g + 0. What is the remainder when p(-15) is divided by 19?
17
What is the remainder when 173 is divided by (62/31)/((-1)/(106/(-4)))?
14
Suppose -4*m - 20 = 0, -4*k + 6*m = 10*m + 8. Calculate the remainder when 258 is divided by 3*(17/k - -1).
18
Let s = -1 - -9. Calculate the remainder when 4*2/36 - (-71)/9585*5235 is divided by s.
7
Let a = -2950 - -2985. What is the remainder when 628 is divided by a?
33
Let q be 1/(-7) + 22/7. Let w = q - -11. What is the remainder when w is divided by (-4 + 0/1)*(2 + -3)?
2
Suppose 14*z + 133 = 17*z - f, 0 = 5*z - f - 219. Suppose 5*r - z = -4*d, 2*r = -d - 2*d + 41. Calculate the remainder when 48 is divided by d.
14
What is the remainder when (-4)/26 - (-2 + 211455/(-65)) is divided by 88?
87
Suppose -5*p + 8 = -62. Let z be (-3)/(-6) + -1 + 93/6. Let h(c) = -c**2 + 22*c - 51. Calculate the remainder when h(z) is divided by p.
12
Let y(z) = 66*z + 18. Let d be y(11). Suppose k = 7*k - d. Suppose 8*t - k = -28. What is the remainder when 45 is divided by t?
9
Let h = 40 + -24. Suppose 21*g - 8*g = 4589. Let b = 358 - g. Calculate the remainder when h is divided by b.
1
Suppose 7292 = 7*f - 5*d, 0 = f - 3*f + d + 2086. Calculate the remainder when f is divided by 25.
21
Let p be (-18 + 17)*(1 + -4 + 0). Suppose -p*z + 162 + 314 = -2*a, 5*z + a - 802 = 0. Calculate the remainder when z is divided by 56.
48
Suppose 0 = -2*q - 2*r - 4 - 0, 2*q = 3*r - 4. Let u be 129/q*(-4)/6. Let h = -35 + u. Calculate the remainder when 15 is divided by h.
7
Suppose 35*k - 13208 - 12737 = -4000. Calculate the remainder when k is divided by 296.
35
Suppose 82*i - 84*i + 1816 = 0. Let w = -639 + i. Calculate the remainder when w is divided by 68.
65
Let v = 103 + -74. Calculate the remainder when 4 - -3 - 28*-3*1 is divided by v.
4
Let p(m) = 85*m - 11241. Let r = -5 + 65. What is the remainder when p(133) is divided by r?
4
Let q(n) = 36*n - 253. What is the remainder when q(14) is divided by 22?
9
Let h be (-9 - -8)*2*-167. Let d = h - -424. What is the remainder when d is divided by 38?
36
Let x(b) = b**3 - 12*b**2 - 9*b - 48. Let n be x(13). Suppose 3*t + 204 = n*a + 5*t, 2*a - 2*t = 114. Calculate the remainder when a is divided by 7.
4
Calculate the remainder when 2/((-6)/(-45) + 16/(-300)) + -1 is divided by 3.
0
Let d = -23 - -49. Suppose d = -5*g - 74. What is the remainder when 12 is divided by ((-16)/g)/(3/15)?
0
Let x = -79 + 84. Suppose 0 = -2*w + x*b + 152, -8*w + 5*w + 239 = -2*b. Calculate the remainder when w is divided by 42.
39
Suppose 3*t + 154*r - 4369 = 156*r, -2*t + r + 2911 = 0. What is the remainder when t is divided by 13?
10
Suppose -57*a + 46*a = -55. Suppose 0 = a*f + 20, -m + 15 - 2 = 3*f. Let s = 93 - 20. What is the remainder when s is divided by m?
23
Suppose 3 = d + x, -4*d + 0*d + 4*x = -12. Suppose d*n = -2*n + 240. Let b = 53 + -28. Calculate the remainder when n is divided by b.
23
Suppose -32 = -4*c - 4*p, 0 = -4*c + 8*c + 2*p - 34. Let i = -1755 - -1768. Calculate the remainder when i is divided by c.
4
Let f(v) = -178*v**2 - v - 5. Let p(m) = 2*m**2 + m + 2. Let z(q) = -f(q) - p(q). Calculate the remainder when z(-1) is divided by 18.
17
Let i(t) = -79*t - 2339. Calculate the remainder when i(-32) is divided by 40.
29
Let v(i) be the third derivative of 3*i**4/8 + 101*i**3/6 - 2*i**2 + 21*i. What is the remainder when v(-10) is divided by 2?
1
Let b(c) = -c**3 + 2*c**2 - 3*c + 1. Let u be b(1). Let t(w) = -145*w**3 - 3*w**2 + w + 3. Calculate the remainder when t(u) is divided by 47.
3
Suppose -41*t + 108 = -29*t. Let p(c) = c**3 - 7*c**2 - 13*c - 6. What is the remainder when (-1)/(-2) + 766/4 is divided by p(t)?
36
Suppose -225 = -a - 4*a. Let z = 222 + -75. What is the remainder when (708/(-14))/((-42)/z) is divided by a?
42
Let u be ((-26)/4)/((7 - 3)/8). Calculate the remainder when (u/((-78)/356))/(2/24) is divided by 34.
32
Let l(u) = u**3 - 4*u**2 + u - 3. Let m = -22887 - -22925. Calculate the remainder when l(6) is divided by m.
37
Suppose 2976 + 1642 = 8*z + 1210. Calculate the remainder when 46857 is divided by z.
423
Suppose -4*f = -4*p - 192, -2*f + 60 + 40 = 2*p. Suppose -a - 20*a - a + 440 = 0. Calculate the remainder when f is divided by a.
