 - 3)/(w/15).
11
What is the remainder when 470 is divided by ((-1)/(-8))/(1/16)?
0
Suppose -15*d = -66*d - 4*d + 220. Let b(h) = -h**3 - 2*h**2 + 4*h + 6*h**2 - h. Calculate the remainder when b(d) is divided by 3.
0
Let n = -825 + 624. Let o = n + 298. Calculate the remainder when 289 is divided by o.
95
Suppose 3*j - 114 = k + 3*k, k = 3. What is the remainder when (-2592)/(-21) + ((-24)/(-28))/(-2) is divided by j?
39
Let c = -699 - -702. Suppose -271 + 277 = c*y. What is the remainder when 73 is divided by y?
1
Suppose 5*x + x - 30 = 0. Let d(t) = -2*t**2 + 4*t + 9. Let f be d(6). Let u = 47 + f. What is the remainder when u is divided by x?
3
Let q(t) = -125*t**3 + t**2 + 2*t + 1. Let s be q(-1). Suppose -s - 1 = -6*r. Suppose 6*v - 8*v + 248 = 0. Calculate the remainder when v is divided by r.
19
Suppose 9*u - 12*u = -633. Let f = u - 109. What is the remainder when f is divided by 32?
6
Suppose -85*p + 2597 = -115 + 247. What is the remainder when 53 is divided by p?
24
Let p(q) = -2*q**3 + 23*q**2 + 13*q + 8. Calculate the remainder when p(6) is divided by 81.
77
Let j = -32322 - -33398. What is the remainder when j is divided by 304?
164
Let i be (1 + 1070)/7 + -3. Let u = i + -147. What is the remainder when 8 is divided by u?
2
Let q(a) = a**3 - 26*a**2 - a + 45. Let t be q(26). Suppose 785 - 6 = t*d. What is the remainder when d is divided by 22?
19
Let x(r) = -7*r**2 + 3*r - 7. Let u(f) = -f**2 - 1. Let z(j) = 6*u(j) - x(j). What is the remainder when z(6) is divided by 10?
9
Let d(o) = 2*o + 8. Let a be d(-3). Suppose 5*s - 36 = 3*r + 27, -a*s + 3*r + 18 = 0. Calculate the remainder when 24 is divided by s.
9
Let i be 262 + 7/(14/(-12)). Let u = i - 199. Calculate the remainder when u is divided by 21.
15
Let g(u) = u**2 + 16*u - 446. What is the remainder when 1581 is divided by g(16)?
63
Let r(t) = t - 4. Suppose -3*l + 25 + 23 = 4*i, 0 = l + 3*i - 21. Suppose -4*f = -35 - 25. What is the remainder when f is divided by r(l)?
7
Let i(o) = -96*o - 19. Let h(u) = 191*u + 38. Let z(m) = -3*h(m) - 5*i(m). What is the remainder when z(-1) is divided by 15?
14
Let m(q) = -362*q + 3705. Calculate the remainder when 337 is divided by m(10).
82
Suppose 0 = 87*b - 81*b - 3600. Let w = -115 + b. What is the remainder when w is divided by 61?
58
Let c(t) = 151*t - 1576. What is the remainder when c(13) is divided by 115?
42
Suppose 18 = 21*q - 19*q. Suppose 1506 + 429 = q*x. What is the remainder when x is divided by 31?
29
Let l(w) = 20*w**2 + w + 2. Calculate the remainder when l(2) is divided by (-338)/(-22) + (-24)/66.
9
Suppose 8 = 4*z, 3*s + 495 + 677 = -2*z. Let i = s + 445. Calculate the remainder when i is divided by 5.
3
Let b(u) = 28*u**2 + 4*u. Suppose 0 = -4*h - 0*i - i - 9, 3*h + i = -8. Calculate the remainder when 118 is divided by b(h).
22
Suppose -15007 - 10793 = -38*k - 37*k. Calculate the remainder when k is divided by 6.
2
Let b = 3019 + -2994. Calculate the remainder when 823 is divided by b.
23
Suppose 7*c - 996 = -2*p + 5*c, -2*p = c - 995. Calculate the remainder when p is divided by 99.
2
Let z = 4941 - 4512. Calculate the remainder when z is divided by 122.
63
Let d = -13 + 32. Let x(a) = 2*a + 5. Let h(t) = 18*t + 232. Let g(v) = -2*h(v) + 4*x(v). Calculate the remainder when d is divided by g(-16).
3
Let u be -7*(4 - (-52)/(-14)) + 8. Let w(c) = -c**3 + 5*c**2 + 8*c + 8. What is the remainder when 55 is divided by w(u)?
15
Suppose 0*y + 10 = 5*y. Let i be (y/(-3))/((-15)/45). Suppose -i*r = 2, -f + 5*r = -16 + 2. Calculate the remainder when 20 is divided by f.
2
Let i(a) = -4*a**2 - 28*a + 53. Calculate the remainder when 184 is divided by i(-8).
16
Suppose -q = -3*q + 42. Suppose -u + 15 = j + 3*j, -3*u = 4*j - q. Suppose -2*s + 4 = 0, -u*n - 4 = -3*s - 13. What is the remainder when 29 is divided by n?
4
Suppose 30*x - 2603 - 945 = 1792. Calculate the remainder when x is divided by 2.
0
Let u = 5583 - 5386. Let b(m) = m**2 + m + 42. Calculate the remainder when u is divided by b(0).
29
Suppose -2*j + 69 = -151. Let w(v) = 2*v**2 - 10*v + 17. What is the remainder when j is divided by w(6)?
23
Let o(s) = s**2 - 8*s + 2. Let b(d) = -d**3 + 23*d**2 + 40*d - 154. Calculate the remainder when b(24) is divided by o(9).
10
Let h = -37994 - -38363. What is the remainder when h is divided by 115?
24
Let j = -213 - -377. Suppose -l + v + 56 = 4*v, 4*l = 3*v + j. Suppose -4*w - b + 36 = 3*b, -4*w - b + 45 = 0. What is the remainder when l is divided by w?
8
Let m = -12056 + 12119. Calculate the remainder when 1341 is divided by m.
18
Suppose 3*i = -3 - 3. Calculate the remainder when (-650)/(-8) - 5/((-100)/15) is divided by -14*(-9)/(-12)*i.
19
Let k(o) = o**3 - 51*o**2 - 217*o - 121. What is the remainder when 871 is divided by k(55)?
35
Suppose 3*s = 4*z + 1323, 0 = 379*s - 375*s - 3*z - 1750. Calculate the remainder when s is divided by 139.
16
Let x(v) = -v**3 + 6*v**2 + 18*v - 6. Suppose 0 = -0*b + 5*b - 10. Suppose k = b*k - 3. Calculate the remainder when x(8) is divided by k.
1
Suppose -57*f = -52*f - 340. Suppose -15*v + 22 = -f. What is the remainder when 69 is divided by v?
3
Suppose -73*j = 36*j - 50794. What is the remainder when 1410 is divided by j?
12
Let t(r) be the second derivative of -11*r**5/5 + r**3/6 + r. Suppose -44 = 39*a - 5. Calculate the remainder when t(a) is divided by 23.
20
Let n(r) = 8*r**2 + r + 1. Let j be n(1). Suppose 7*x - j = 2*x. What is the remainder when (-10)/(-4)*(x - (0 - 0)) is divided by 4?
1
Suppose -39 = -2*l - 2*u + 3, l - 45 = 5*u. Let h = 6915 + -6900. What is the remainder when l is divided by h?
10
Let s be (-14 - -13)*(-25 - 0). Suppose 2*h - s*h = -437. Let d(t) = -2*t - 9. Calculate the remainder when h is divided by d(-6).
1
Suppose -30 = -11*y + 14. Suppose 0 = y*m + q - 448, 2*q - 206 = -2*m + 6*q. Calculate the remainder when m is divided by 23.
19
Suppose 34*j - 7584 = -45*j. What is the remainder when j is divided by 74?
22
Suppose -202*x + 18835 = 74*x - 2693. Suppose 0 = 3*t - 505 - 422. What is the remainder when t is divided by x?
75
Suppose -5*b = i - 0*i - 482, 5*b - 476 = -3*i. Calculate the remainder when b is divided by (-2)/13 - (-2898)/78.
23
Suppose 3*q + 16438 = 7*k, q + 1770 = k - 576. Calculate the remainder when k is divided by 1171.
8
Let i = 2965 - 2959. What is the remainder when 150 is divided by i?
0
Let x(r) = r**3 - 6*r**2 - 11*r + 30. Let s be x(7). Suppose -6*u = -u + 4*h - 42, 0 = u + 4*h - s. What is the remainder when 78 is divided by u?
8
Suppose -5*g + 2998*f - 2999*f = -277, -2*g - 5*f = -74. What is the remainder when 23366 is divided by g?
53
Calculate the remainder when 850 is divided by (-16632)/(-287) - 56/(-1148).
38
Let f be ((-2)/(-7) + 0)*14. Suppose -f*o + 972 = 4*w, -3*w + 248 = -2*w + 2*o. Calculate the remainder when w is divided by 40.
38
Let t be (-1)/(-2) - 337/(-2). Let q be ((-1246)/(-49))/(18/189). Let c = q - t. Calculate the remainder when c is divided by 50.
48
Let p = -15173 + 15186. Calculate the remainder when 193 is divided by p.
11
Suppose l = -3*l + z - 271, 3*z = -5*l - 326. Let t = l - -84. What is the remainder when 13/(-3 - 10/(-3)) is divided by t?
5
Let o = 29 + -18. Let q(l) = -l**2 + 15*l - 12. What is the remainder when q(7) is divided by o?
0
Let l = -33 + 83. Suppose 7*i - 33 = -12. What is the remainder when (-5 - -3) + (52*2 - i) is divided by l?
49
Let c = -23276 - -23365. Suppose -5*f + 695 = -1040. Calculate the remainder when f is divided by c.
80
Suppose -24*y + 173 = 11*y - 34*y. What is the remainder when y is divided by 32?
13
Let a be ((-4 - 0) + (-14)/4)*-2. Suppose -102*j + 101*j = -a. What is the remainder when 43 is divided by j?
13
Let n = -4452 - -4971. What is the remainder when n is divided by 52?
51
Let p = 22 + -19. Let h = 141 - 32. Calculate the remainder when h is divided by (-4)/p*21/(-1).
25
Let u = 4340 - -874. Calculate the remainder when u is divided by 111.
108
What is the remainder when 2087 is divided by (4/(-36))/((-10)/5220)?
57
Let i = 98794 - 98654. Let l = 40 + -29. What is the remainder when i is divided by l?
8
Let p be 58087/232 - (-6)/(-16). Suppose p = 3*r - 68. Calculate the remainder when r is divided by 36.
34
Let z(u) = -3*u**2 + 251*u -