 the remainder when (-8)/(-10) - (-3410)/v is divided by x?
15
Let s = 121 + -118. Suppose -60 = -4*f - 3*v - 5, -v = -s*f + 51. Calculate the remainder when 37 is divided by f.
5
Let z = 26810 - 26793. Suppose 2*f + 5 = 335. What is the remainder when f is divided by z?
12
Let r be (-143)/(-52)*(-136)/2. Let q = r - -193. Calculate the remainder when 18 is divided by q.
0
Let h = 2733 + -2614. What is the remainder when h is divided by 81?
38
Suppose -5*m - 124 + 324 = 0. Let v = 97433 - 97423. Calculate the remainder when m is divided by v.
0
Suppose -5*r - 2*w + 189 = -479, -3*r + 4*w = -380. What is the remainder when 384 is divided by r?
120
Let j(o) = 28*o**3 + o**2 + 7*o + 2. Let t be j(-2). Let g = t - -265. Calculate the remainder when g is divided by 12.
9
Suppose 0 = 23*p - 6*p. Let i(a) = 4*a + 13. What is the remainder when (0/(-2) - -1) + 63 is divided by i(p)?
12
Suppose -52 = -5*m - 2*n, 4*m + 5 = n + 44. Suppose 5*u + 72 = 2*a + 10*u, 0 = -a + 4*u + m. Calculate the remainder when 128 is divided by a.
24
Suppose 0 = 34*c + 31*c - 5655. Let x(i) = 24*i - 3. Calculate the remainder when c is divided by x(2).
42
Suppose 0 = -17*z - 5*z + 29*z - 567. What is the remainder when z is divided by 22?
15
Let w(l) = -31*l - 691. Let v(z) = -10*z - 232. Let f(d) = 11*v(d) - 4*w(d). Calculate the remainder when 541 is divided by f(-14).
13
Let m(i) = 31*i + 120. Let b(f) = 60*f + 237. Let g(d) = 4*b(d) - 10*m(d). What is the remainder when g(-9) is divided by 38?
36
Let d = -98 - -103. Let q be d/(-3)*(-9)/12*4. Suppose f + 3 = 5, q*f = -g + 166. What is the remainder when g is divided by 32?
28
Let f(s) = -s**3 - 8*s**2 - 9*s - 4. Suppose -12*t - 33 = 51. Calculate the remainder when 195 is divided by f(t).
5
Let o = -211 - -390. Suppose 74 = 3*a - 3*i - 130, 3*a + 2*i = o. Calculate the remainder when a is divided by 23.
17
Let m(s) = -390*s + 3002. What is the remainder when m(5) is divided by 151?
146
Let n(g) = g**2 + 4*g - 65. Let b(w) = 13*w**3 + 48 - 14*w**3 + 6 + 26 - w + w**2. Calculate the remainder when b(0) is divided by n(-11).
8
Let o(r) = 2*r**3 + 12*r**2 - 18*r - 70. Calculate the remainder when 263 is divided by o(-6).
35
Let g(f) = -2*f**2 + 24*f + 90. Let o(s) = -s**2 - 2*s - 2. Let v(z) = g(z) + 12*o(z). Calculate the remainder when v(0) is divided by 38.
28
Suppose 79*d - 136*d + 318801 = 62*d. Calculate the remainder when d is divided by 18.
15
Let k be (-2 + 1)*(1 + -2). Suppose 129*q = 1943 - 2140 + 6260. Calculate the remainder when q is divided by (-1)/k*(1 + -18).
13
Suppose 956 - 172 = 49*g. Calculate the remainder when 320 is divided by g.
0
Suppose 0 = t + 2*y - 9, y = 2*t - 23 - 10. Calculate the remainder when 144 is divided by t.
9
What is the remainder when 122959/27 - 106/2862 is divided by 285?
279
Let s(v) = -7*v - 76. Let q be s(-12). Suppose k - 1 = -3*y - 3, -3*y - q = -5*k. What is the remainder when 29 is divided by ((-2)/4)/(k/2) - -17?
13
Let r(c) = 8*c**2 - 162*c + 1038. What is the remainder when r(6) is divided by 176?
2
Suppose 0 = -67*g + 55*g + 8484. Suppose -7*x + g = -742. Calculate the remainder when x is divided by 6.
3
Suppose 6 = -20*o + 64 + 342. Calculate the remainder when 62 is divided by o.
2
Let v(j) = -j**3 - 31*j**2 + 32*j + 59. Let q be v(-32). Let t = q + 172. What is the remainder when t is divided by 18?
15
Calculate the remainder when 415 is divided by -21 + (-22)/((-242)/473).
19
Let s be 2/(-4)*6/(-1). Suppose -4*o + 144 = -o - s*g, 4*g = -3*o + 130. Let n = -29 + o. What is the remainder when n is divided by 5?
2
Let v(f) = 2*f**2 + 1 - 11*f - f**2 + 8*f - 10*f. Let w be v(13). Suppose -2*r - q = -14, -q - 20 = -3*r + w. What is the remainder when 13 is divided by r?
6
Let b be (4/6)/(26/507). Suppose j - b = -31. Let p = -8 - j. Calculate the remainder when 38 is divided by p.
8
Suppose 2*u - 11*d = -12*d - 14, 22 = -2*u - 5*d. Let c(b) = -17*b - 29. What is the remainder when c(u) is divided by 15?
13
Let k(n) = -2*n - 24. Let c be k(-14). Suppose -c*g + 5*g = 25. Let y(r) = -r**2 + 7*r - 3. What is the remainder when g is divided by y(3)?
7
Calculate the remainder when 716 is divided by 10/(-5) + 84 - ((7 - 20) + 18).
23
Suppose 0 = -1299*v + 2610*v - 1295*v - 6304. What is the remainder when v is divided by 105?
79
Let k = -1139 - -1961. What is the remainder when k is divided by 4*(-22)/(-8)*(3 - 2)?
8
Suppose 76*o = 384 + 274 + 406. Suppose 0 = 2*m + l, 5*l = l. Suppose 3*i - 108 - 21 = m. What is the remainder when i is divided by o?
1
Let x be ((81/216)/(1/4))/((-3)/22). Let b(w) be the second derivative of -2*w**3/3 - 9*w**2 - w. What is the remainder when b(x) is divided by 8?
2
Let q = 195 - 163. Suppose -3*j + 541 = 5*b, -q - 84 = -b + 2*j. Calculate the remainder when b is divided by 16.
14
Suppose 0 = -34*z + 84*z - 97*z + 26743. What is the remainder when z is divided by 18?
11
Suppose 45670 = -367*i + 56242 + 203756. Calculate the remainder when 1778 is divided by i.
26
What is the remainder when 6*(-9)/54 - -597 is divided by 77?
57
Let v(q) = -q**2 - 136*q - 3112. What is the remainder when 208 is divided by v(-30)?
4
Suppose 5*u + 8*u = -104. Calculate the remainder when 140 is divided by 435/(-10)*u/12.
24
Let d(l) = -14*l**3 + 3*l**2 + 8*l + 6. Let c be d(-3). Let p = c + -382. What is the remainder when 27 is divided by p?
2
Let x = 14 + -15. Let s be (5/5)/(x/(-78)). Suppose -s = -6*t + 588. What is the remainder when t is divided by 28?
27
Suppose 1698*i - 1699*i + 62 = 3*n, 5*i = 2*n + 327. What is the remainder when 767 is divided by i?
52
What is the remainder when 283 is divided by ((-36)/20)/(117/(-3120))?
43
Let m(j) = -231*j - 507. What is the remainder when m(-6) is divided by 8?
7
Suppose -4*b + 5138 = -s, -4*s - 4161 = -4*b + 959. Calculate the remainder when b is divided by 23.
21
Let q = 44 + -40. Suppose -2832 = -12*a - q*a. What is the remainder when a is divided by 20?
17
Let b(l) = -3*l - 13. What is the remainder when 753 is divided by b(-51)?
53
Suppose -f + h = -51 + 17, 0 = 5*f + 4*h - 152. Calculate the remainder when 252 is divided by f.
28
Let l = 62 - 68. What is the remainder when l/8*(-4)/(-6)*-66 is divided by 8?
1
Suppose -3*c + 2*o + 6 = -7, 0 = -2*c - 4*o + 14. Suppose 0 = q + 2*w - 132, 4*q - 4*w - 563 = -c*w. What is the remainder when q is divided by 24?
22
Let u(x) = -63*x - 560. Calculate the remainder when 475 is divided by u(-9).
6
Let v(w) = -114*w - 3. Let k be v(-2). Suppose 0 = 3*g - k - 60. Suppose -14*z + 19*z - g = 0. What is the remainder when z is divided by 12?
7
Let a be 1*21*(-20 - 8). Let w = -557 - a. What is the remainder when 43 is divided by w?
12
Suppose 0*r = -10*r - h + 586, -3*r + 173 = h. Calculate the remainder when 5012 is divided by r.
56
Suppose -c = -0*c - 9. Suppose 333*l + 41391 = 217215. Calculate the remainder when l is divided by c.
6
Let t(c) = -5*c**2 + 9*c - 7. Let v be t(-16). Let s = 2066 + v. Calculate the remainder when s is divided by 53.
52
Suppose -256 = -8*o - 272. Let s(k) = -49*k**3 - 3*k**2 - k + 1. Calculate the remainder when s(o) is divided by 24.
23
Suppose -176 + 990 = 11*b. Suppose 397 - 111 = 2*p. Calculate the remainder when p is divided by b.
69
Let h(r) = r**2 - 5. Let o be h(4). Let t(w) = o*w + 43*w**2 - 62*w**2 + 9 + 35*w**2. What is the remainder when t(-4) is divided by 14?
11
Let y(q) = -74*q**2 + 1028*q + 140. Suppose -3*m + 361 = 37. Calculate the remainder when m is divided by y(14).
24
Let w = -96 + 96. Calculate the remainder when 80 is divided by (48/(-40) - w)*(-140)/6.
24
Suppose -8*v - 8*v - 60660 = -26*v. What is the remainder when v is divided by 119?
116
Let y = -91 + 87. Let d(k) = 2*k + 33. Calculate the remainder when d(y) is divided by 4.
1
Suppose 0 = 166*d - 3344 - 474. Calculate the remainder when 61 is divided by d.
15
Let g(j) = 3*j - 6. Let v(s) = 13*s - 78. Let l be v(6). Suppose 15*i + 8*i - 253 = l. What is the remainder when g(6) is divided by i?
1
Suppose -49*v = -18*v - 5095 - 2345. What is the remainder when v is divided by 113?
14
Suppose d - 10 = -n, 0 = n - 4*n + d + 18. Suppose 2*l - n = x, 1 = -l + 3*l + x. Calculate the remainder when 44 is divided by l.
0
Let y = -21 + 37. Let x = -192 - -203. Suppose -14*