 remainder when c(31) is divided by 15?
12
Suppose -28 = 34*j - 48*j. Let l(z) = z**3 + z**2 - 3*z + 1. Let u be l(-3). Let d(k) = -2*k - 12. Calculate the remainder when d(u) is divided by j.
0
Let p = -5998 + 7280. What is the remainder when p is divided by 31?
11
Suppose -3*r - 4*r + 448 = 0. Let m(d) = 9*d - 4. Let t(l) = -l + 1. Let c(g) = 2*m(g) + 6*t(g). Calculate the remainder when r is divided by c(2).
20
Let j be (-6)/(9/(27/2)). Let o be j/63 - 54/(-7)*-4. Let p = -18 - o. What is the remainder when 57 is divided by p?
5
Suppose -h = 0, 4*d + 1331 - 463 = -3*h. Calculate the remainder when 65 is divided by (108/(-14))/(62/d).
11
Suppose 123579 + 382806 = 55*l. Calculate the remainder when l is divided by 6.
3
Let a = 4642 + -4625. Calculate the remainder when 45 is divided by a.
11
Let z = 235 - 37. Let y = 210 - z. What is the remainder when 163 is divided by y?
7
Let l(m) = -28*m + 1182. What is the remainder when l(9) is divided by 232?
2
Suppose -895 = 6*w - 139. Let c be (-4)/18 - 658/w. Suppose n = -c*p - 3*n + 37, -p - n = -7. Calculate the remainder when 16 is divided by p.
7
Let a be (-3)/(9/(-1650)) + -2 + -4. Suppose 156 - a = -4*w. What is the remainder when w is divided by 45?
7
Let g be (-304)/(-64) + 3/(-4). Suppose 7*l = 4*l - a + 62, -126 = -5*l + g*a. What is the remainder when ((-172)/(2*-1))/1 is divided by l?
20
Suppose -48*v + 124*v = 25459 - 1823. Calculate the remainder when v is divided by 297.
14
Suppose 9*p = -0*p + 63. What is the remainder when 15/(-35) - (-703)/p is divided by 51?
49
What is the remainder when (-1 + 40/(-15) + 4)/((-37)/(-12321)) is divided by 2/(-7) + 340/14?
15
Let q = -24 + 60. Let k = q + -34. Suppose l - 18 = -k*l. What is the remainder when 21 is divided by l?
3
Suppose -w + 844 = -2*u, -11*u = -4*w - 8*u + 3406. Calculate the remainder when w is divided by 173.
164
Suppose z + 4*z + 4*s - 151 = 0, -5*s + 20 = 0. Calculate the remainder when 3023 is divided by z.
26
Calculate the remainder when 3011 is divided by (-79)/(-3) - (-7 - -14)*(-2)/(-42).
21
Suppose 2*r + 2*o - 78 = 0, o = -4*r + 2*o + 176. What is the remainder when 590 - (4 - (17 - 3)) is divided by r?
41
Let r = -652 + 500. Suppose -635 = 3*h + 2*p, -3*h - p + 5*p = 665. Let a = r - h. What is the remainder when a is divided by 13?
11
Suppose -4*y = -20, -14*a - y = -15*a - 29. Let z = 3 - 12. Calculate the remainder when 33 is divided by (-225)/a + z/24.
6
What is the remainder when (-5 + 769)/2 - (5 + -3 + -2) is divided by 173?
36
Calculate the remainder when ((-314)/(-18))/((-196)/(-1764)) is divided by 154.
3
Suppose m = -m + 270 + 594. Calculate the remainder when m is divided by 86.
2
Let d = -2302 - -2408. Calculate the remainder when 625 is divided by d.
95
Let f(p) be the second derivative of p**5/10 - 17*p**4/12 + 67*p**3/6 - p**2/2 + 168*p + 2. What is the remainder when f(4) is divided by (-50)/(-4)*2/1?
23
Suppose -i + 6*g = 2*g - 28, 4*i = -5*g + 7. Calculate the remainder when 157 is divided by 0 - (-25)/2*i/5.
17
Let y be 8 - -7*(-42)/(-98). Suppose -3*h + 19 = -5. Suppose h*i - 37 = y. Calculate the remainder when 28 is divided by i.
4
Let b = -370 + 374. Suppose 3*r = -b*l + 444, -r = -4*r. What is the remainder when l is divided by 14?
13
Suppose 0 = 5*j - 3*j - 3*s - 148, 3*j - 3*s - 219 = 0. Suppose -41 = -5*y + l, 9*y = 10*y + 2*l - 17. Calculate the remainder when j is divided by y.
8
Suppose -560 = 124*p - 372*p + 432. What is the remainder when 3967 is divided by p?
3
Let f(q) = 1013*q + 45. What is the remainder when 1666 is divided by f(0)?
1
Let d be -245*(1 - 0) - (2 + 1). Let s = -139 - d. Calculate the remainder when s is divided by 5.
4
Calculate the remainder when 1006 is divided by ((-1)/(-4)*-166)/((-23)/92).
10
Suppose 3031 = -32*y + 727. Calculate the remainder when y*11/((-33)/2) is divided by 10.
8
Suppose -141*p = 74*p + 213*p - 11128. What is the remainder when 473 is divided by p?
5
Let m = -10 - -266. Suppose -4*o + y + m = 0, 0 = -2*y - 0*y. What is the remainder when o is divided by 17?
13
Let l = -950 + 979. Calculate the remainder when 196 is divided by l.
22
Suppose 4*v + 3*g = 874, -g + 657 = 4*v - 221. Suppose -219*d + v*d = 40. What is the remainder when 358 is divided by d?
38
Let p = -76 + 78. Suppose 4*v = 8, 0*v = -5*c + p*v + 26. Let w(s) = 3*s - 11. Calculate the remainder when 32 is divided by w(c).
4
Suppose 2*r = 3*d + 2 - 6, 5*r = -d + 24. Suppose -13*c - 5*u - 172 = -14*c, u = -r*c + 772. What is the remainder when c is divided by 15?
12
Suppose 10*v = 21*v - 220. Let g = -286 - -296. What is the remainder when v is divided by g?
0
Let d(g) be the first derivative of g**2 + 23*g - 18. Let s be d(-10). Suppose 5 = h - c - s, -5*h + 44 = -4*c. Calculate the remainder when 45 is divided by h.
9
Let b(o) = -o**3 + 20*o**2 - 85*o - 12. Calculate the remainder when 3957 is divided by b(12).
117
Let b = 363 - 235. Suppose b + 56 = 4*x. Calculate the remainder when x is divided by -31 - (-21 + 8 - 31).
7
Suppose -4*c = -7*l + 3*l - 16, 0 = -3*l + 3. Suppose -c*m = -w - 86, -88 = 5*w - 4*m + 321. Let n = -66 - w. Calculate the remainder when 39 is divided by n.
9
Let q(f) = -f**2 + 4*f + 8. Suppose -47*o + s = -48*o + 111, -5*o + 555 = -3*s. Calculate the remainder when o is divided by q(4).
7
Let s = -34 + 36. Suppose 5*r = s + 18. Calculate the remainder when r is divided by 4.
0
Suppose -5*m = 14 - 29. Suppose -17*j - 54 = -n - 21*j, m*j = n - 89. Calculate the remainder when n is divided by 25.
24
Calculate the remainder when (30/(-18))/(5*(-1)/66) is divided by 12.
10
Suppose -611*c = -599*c - 33708. What is the remainder when c is divided by 22?
15
Let x(k) = 3*k**2 + 7*k - 9. Suppose 3*h - 76 = -49. Calculate the remainder when x(4) is divided by h.
4
Let t(d) = 3*d**2 + 269*d - 4445. Suppose 3*q - 26 = 7. Calculate the remainder when t(-104) is divided by q.
5
Suppose 10*n - 276 = 14. What is the remainder when 100 is divided by n?
13
Let f(v) = 17*v - 90. Let t be f(0). Calculate the remainder when ((-178100)/t)/10 + 2/18 is divided by 34.
28
Let b = 81 + -46. Suppose 0 + 10 = -5*i, -j + i + 4 = 0. Suppose -3*n - 275 = -j*o - 2*n, n = 3. Calculate the remainder when o is divided by b.
34
Suppose 23*t - 1091 = 18*t + 4*b, 0 = -b + 6. What is the remainder when t is divided by 71?
10
Let w(d) = d**2 + 5*d - 9. Let z be w(-8). Let i be 3/(-6) + (z/(-2))/(-3). What is the remainder when 38 is divided by -2 + -1 + i + 16?
8
Suppose 0 = o - 5 - 13. Suppose 3*t - o = -0*t. Suppose 202 = f + 5*q, t*q - 7*q - 958 = -5*f. What is the remainder when f is divided by 49?
45
Suppose -u + 490 = 3*s, -s - 3*u + 109 + 57 = 0. Calculate the remainder when 3254 is divided by s.
157
Let a(s) = s**2 - 13*s + 7. Let c be 6675/525 + (1 - 5/7). Suppose 12*w = 9*w + 12. Calculate the remainder when a(c) is divided by w.
3
Suppose -5*w = -5*o - 690, -4*o = -2*o. Suppose 0 = 11*i - w + 6. Calculate the remainder when 394 is divided by i.
10
Let o = 2243 + -2168. What is the remainder when o is divided by 52?
23
Suppose -2*v + 1120 = 4*r, 8*v - 13*v + 3*r + 2813 = 0. What is the remainder when v is divided by 153?
103
Let j = 52 + -67. Let u = j - -21. Suppose 239 = u*g - 163. What is the remainder when g is divided by 23?
21
Let n(j) be the second derivative of -j**4/3 + 91*j**3/6 - 8*j**2 + 76*j - 1. What is the remainder when 247 is divided by n(22)?
47
Let h(o) = o**3 + 74*o**2 + 225*o + 325. Calculate the remainder when h(-70) is divided by 17.
10
Let p = 6032 + -5989. Calculate the remainder when 39987 is divided by p.
40
Let j(n) = -n**2 + 12*n + 32. Let k be j(14). Let m be 623/(-21) + k/6. Let p = 38 + m. What is the remainder when 24 is divided by p?
6
Suppose -2608 = 171*a - 169*a. What is the remainder when 90 is divided by a/(-36) - (-2 - 40/(-18))?
18
Let l(t) = -7*t**3 - 105*t**2 - 21*t + 59. What is the remainder when l(-15) is divided by 95?
89
Let p(q) = 4*q**3 - 3*q**2 - 41*q + 197. What is the remainder when 16868 is divided by p(4)?
239
Suppose 2*d - 3*z + 1 = 11, 2*d - 2*z - 10 = 0. Let b(o) = 2*o**2 - 825*o - 5852. Calculate the remainder when b(-7) is divided by d.
1
Let f(k) = k - 5. Let d be f(4). Suppose r + 4*t - 15 = 0, 0 = -t + 3. What is the remain