0
Let f(q) = -18*q**3 - q**2 + q + 1. Suppose 0 = 3*i - 3*g - 168, 3*g + 27 = 4*i - 196. Let u = -56 + i. What is the remainder when f(u) is divided by 4?
1
Suppose 8*x + 997 = 5061. What is the remainder when x is divided by 14?
4
Suppose p + 24 - 89 = 0. Let d = 76 - p. Calculate the remainder when 166 is divided by (-9 + d)/(2*(-1)/(-28)).
26
Suppose 12*s - 132 - 12 = 0. Suppose 96*y = 93*y + s. What is the remainder when 49 is divided by y?
1
Let i = -317 + 322. Suppose i*c - f - 2*f = 17, 2*c - 5*f = 3. Calculate the remainder when 53 is divided by c.
1
Let c = 1461 - 1342. Let h(x) = -x**3 - 5*x**2 + 10*x + 6. What is the remainder when c is divided by h(-7)?
17
Suppose -36*p + 37*p + 4*b = 85, 4*p - 4*b - 400 = 0. What is the remainder when p is divided by 5?
2
Suppose -275 + 176 = -11*n. Suppose -819 = n*q - 48*q. Suppose -2*k + 6*k - 416 = 0. Calculate the remainder when k is divided by q.
20
Let z = 3 + 1. Let p be 6 + z/(-8)*2. Suppose -p*k = -0 - 10. What is the remainder when 4 is divided by k?
0
What is the remainder when ((-1)/3)/(67/(-31758)) is divided by (21 + 3)*(-6)/(-9)?
14
Suppose 4*z - 180 = -n - 0*n, 2*z = -4. Suppose 2238*p - 3*d - 95 = 2236*p, d + 97 = 2*p. What is the remainder when n is divided by p?
41
Let b(m) = 16*m + 1220. What is the remainder when 409 is divided by b(-76)?
1
Let h(r) = -32*r**3 - 2*r**2 - 3*r - 2. Let s(f) = -2*f**2 - 82*f - 46. What is the remainder when s(-29) is divided by h(-1)?
30
Suppose 138*l + 46*l - 27784 = 0. What is the remainder when 479 is divided by l?
26
Let m(d) = -27*d + 1. Let n(t) be the second derivative of -3*t**5/20 - t**4/6 + t**3/2 + 2*t**2 - t. Calculate the remainder when m(-4) is divided by n(-2).
11
Let n = -1960 + 2778. What is the remainder when n is divided by (117/(-12))/(145/(-580))?
38
Suppose -11*t - 2*j - 531 = -14*t, 2*t + 2*j = 354. Let z = -167 + t. Calculate the remainder when 189 is divided by z.
9
Let x = -154 - -236. Let d(n) = n**3 + 23*n**2 - 80*n - 37. Let b be ((-1)/3)/(16/1248). What is the remainder when x is divided by d(b)?
7
Suppose 5*b + 225 = 5*a, 6*a - a - 231 = -b. Suppose -7*j + a + 339 = 0. What is the remainder when 214 is divided by j?
49
Suppose 2*o = 6*o - 5*v - 66, -o - 5*v = -29. Suppose 0 = 4*j + 114 - 2630. Suppose -j = -y - 16*y. Calculate the remainder when y is divided by o.
18
Suppose 0*o = -5*o - 2*i + 18, -2*i - 22 = -5*o. Suppose -r = o*u - 4, -24 = -2*u - 2*r + 7*r. Calculate the remainder when u is divided by -5*(-1)/7 - 2/(-7).
0
Let p = -3699 - -3913. What is the remainder when p is divided by 7?
4
Let p(m) = -m**3 + 8*m**2 + 9*m + 6. Let s be p(9). Suppose s*t - 64 = 2*t. What is the remainder when t is divided by (-10)/(-1)*-1*3/(-5)?
4
Suppose -50*d + 1875 = -725. What is the remainder when 4158 is divided by d?
50
Let y = 293 - 156. Calculate the remainder when y is divided by 95 - 28 - 220/55.
11
Let q(x) = 7*x + 22. Let u be q(-9). Let a = u - -70. Calculate the remainder when ((-2)/(-20)*148)/(2/5) is divided by a.
8
Suppose -764 = -11*n - 27*n + 2048. What is the remainder when 486 is divided by n?
42
Let u be (2/4)/(5/30). Suppose u*v + o = -0*o + 21, 2*o - 21 = -3*v. Calculate the remainder when v is divided by 16/22*(-286)/(-52).
3
Suppose -i - 6 = 0, 3*s - 4*i = 5916 + 297. What is the remainder when s is divided by 98?
5
Calculate the remainder when 8334*(2/7)/(4/56*6) is divided by 67.
62
Let z be -89*6/(-30) + 1/5. Suppose 74*v + z = 76*v. What is the remainder when 30 is divided by v?
3
Suppose 2*r - 2*a - 1252 = 0, 501 = -3*r - 3*a + 2349. Let j = -118 - -170. Calculate the remainder when r is divided by j.
49
Let d = -1855 + 2062. Suppose 4*c + 12 = 0, 12 + 16 = s - 3*c. Calculate the remainder when d is divided by s.
17
Suppose 4*b + 12 = 7*b. Suppose 2*r - 4*r = -3*l + 198, -3*r = -b*l + 264. What is the remainder when l is divided by 17?
15
Calculate the remainder when 168 is divided by (-2)/74 + (-201320)/(-1480).
32
What is the remainder when (-6)/(-24) + (-138)/552*(1 + -1760) is divided by 391?
49
Suppose 4*z + 41 - 13 = 0. What is the remainder when 264 - (-4)/z*56/16 is divided by 66?
64
Suppose 132 + 68 = -10*u. What is the remainder when 190/8 + ((-25)/u)/5 is divided by 6?
0
Suppose -4*w + 5*p - 120 = 267, 0 = 4*p + 4. Let y = 215 + w. Calculate the remainder when y is divided by 17.
15
Let g(n) = -324*n - 600. Calculate the remainder when 471 is divided by g(-2).
39
Let y = -1323 + 601. Let c = -498 - y. What is the remainder when c is divided by 32?
0
Let y(b) = -15*b - 104. Suppose 2*o - 5*o + 9 = 0. Suppose 313 - 46 = o*w. What is the remainder when w is divided by y(-9)?
27
Let k(l) = l**3 - 37*l**2 + 304*l + 264. What is the remainder when 1105 is divided by k(25)?
13
Suppose 0 = 29*j - 300*j + 5691. Suppose 5*s - 100 = 65. What is the remainder when s is divided by j?
12
Suppose -4*x - 8*d = -11*d + 15, -2*x + d - 5 = 0. Suppose x = 40*t - 17*t - 138. Calculate the remainder when 130 is divided by t.
4
Suppose 6*y - y = -4*b + 21, -3*b + 4*y + 8 = 0. What is the remainder when 211782/2538 + 4/(-9) + -6 is divided by b?
1
Let r = 1884 + -1224. Suppose -2*k = k - r. Let u = -153 + k. What is the remainder when u is divided by 14?
11
Suppose -k + 5*z - 207 = 0, -2*z - z = -2*k - 386. Let u(i) = -161*i**2 + 12*i - 3. Let l be u(1). Let t = l - k. What is the remainder when t is divided by 8?
3
Let u be ((-14)/(-1))/((-2)/(-20)). Calculate the remainder when 7680/u - (-1)/(-7)*-1 is divided by 28.
27
Let b(q) = 17*q**3 + 4*q**2 + 4*q + 2. Let h = -13 + 11. Let p be b(h). Let t = -87 - p. Calculate the remainder when t is divided by 12.
3
Let o(g) = -g**3 - 5*g**2 - 9*g - 20. Let z be o(-4). Suppose z = 26*x - 278 - 320. Calculate the remainder when 111 is divided by x.
19
Let p(r) = -271*r**2 - 2170*r + 9. Calculate the remainder when 396 is divided by p(-8).
21
Suppose 100*t = -117*t + 45570. What is the remainder when t is divided by 147?
63
Suppose 194 = 4*k - 98. Let a = -521 + 854. Suppose 18*p - a = 9. Calculate the remainder when k is divided by p.
16
Let f(q) = q**3 + 12*q**2 - 53*q + 262. Calculate the remainder when f(6) is divided by 47.
28
Let q = 27 + -42. Let m be ((-12)/q)/(3/15). Suppose 0 = -3*n + m*z + 40, 37 = 3*n - 0*n - z. Calculate the remainder when 21 is divided by n.
9
Let q be 12*(-3)/(-12) + -736 + 2. Let t = 753 + q. Calculate the remainder when 284 is divided by t.
20
Suppose -27 = 145*j - 154*j. Suppose 3*a + 3*t - 312 = 0, j*a = t - 5*t + 312. Calculate the remainder when a is divided by 12.
8
Let z(g) = g**2 - g. Let s(u) = -3*u**2 - 20*u + 11. Let l(q) = -s(q) + 2*z(q). What is the remainder when l(6) is divided by 40?
37
Suppose -3*o = -0*x + x, -3*x = 3*o. Suppose 2*w - 6*w - 4*a + 120 = o, 0 = 2*a + 4. Let u = 21 - 10. Calculate the remainder when w is divided by u.
10
Suppose -14 - 22 = -4*k. What is the remainder when (-51)/(-408) - 1150/(-16) is divided by (-1 - (-8)/3)*k?
12
Let r(a) = -174*a + 548. Calculate the remainder when r(-4) is divided by 208.
204
Suppose 5*f = -52 + 377. Let b be (-5)/(-10) + 31/(-2) - 1. Calculate the remainder when f is divided by (2 + 0)/2 - b.
14
Calculate the remainder when 23/(-1) + 346 + (-5)/(5/(-6)) is divided by 29.
10
Let v = 4999 - 4991. What is the remainder when 16981 is divided by v?
5
Let f be 1464*(-4 + (-8)/4). Calculate the remainder when (-5)/2*(f/(-45))/(-4) is divided by 14.
10
Let j(q) = 5*q + 184. Let k be j(-36). Suppose 5*f - k*f - 60 = n, 144 = 2*f + 4*n. What is the remainder when f is divided by 24?
16
Let q = -117 - -120. Suppose q*w - 321 - 59 = -4*p, 4*p = -2*w + 256. Calculate the remainder when w is divided by 14.
12
Let r be 1008/280*10/6*-14. What is the remainder when (-4128)/r + 4/(-28) is divided by 24?
1
Suppose -138*k = -113*k - 292 - 183. Calculate the remainder when 506 is divided by k.
12
Suppose -6*v = 22 - 175 - 63. Calculate the remainder when 1294 is divided by v.
34
Suppose -2*k = -2*a - 126, -108 = -2*k - 1020*a + 1019*a. Calculate the remainder when 303 is divided by k.
18
Suppose -j = -4*t + 98, -t + 3 = 5*j - 11. Suppose -4*c + 62 = 26. What is the remainder when t is divided by c?
6
Suppose 42*x - 16 = 40*x. Suppose 41 + 231 = x*j. What is the remainder when 236 