4484 = 0. What is the remainder when q is divided by 73?
17
Suppose -2*r = 2*v - 38, -v - 4*r + 7 = r. Let m = -417 + 569. What is the remainder when m is divided by v?
20
Suppose -353*s + 2*b - 1455 = -356*s, s + 2*b - 477 = 0. What is the remainder when s is divided by 96?
9
Let b = 2 + 1. Suppose b*l = 2*l + 12. Suppose 61*t - 601 - 148 - 654 = 0. Calculate the remainder when t is divided by l.
11
Suppose 41*z - 62 - 20 = 0. Suppose -6*k = -5*w - 1889, z*k + w = -3*k + 1600. Calculate the remainder when k is divided by 7.
4
Let q be 19 + 4 + (2 - 9). Let n(g) = 45*g - 25*g + 2*g**2 - q - 24*g. Calculate the remainder when n(6) is divided by 17.
15
Let a = -1840 - -2061. What is the remainder when a is divided by 9?
5
Let a(v) = 30*v + 1497. Calculate the remainder when a(8) is divided by 30.
27
Let u(o) = o**2 + 8*o - 267. What is the remainder when 982 is divided by u(14)?
39
Let t = -21 + -72. Let y = t + 142. What is the remainder when 244 is divided by y?
48
Let z(s) = s**3 + 3. Let l(h) = 5*h**3 - h**2 + 11. Let t(u) = 2*l(u) - 9*z(u). Suppose -10*c - 42 = -1382. Calculate the remainder when c is divided by t(4).
26
Suppose -51*j + 87683 + 131107 = 34*j. What is the remainder when j is divided by 854?
12
Suppose -2*v = -0*v - 2*l + 16, -2*l = -3*v - 20. Let t be (-483)/(-12) + 1/v. Suppose 6*h - t = 56. What is the remainder when 78 is divided by h?
14
Let j be (-3 - -2) + 1 + -1. Calculate the remainder when 8472/168 + (-9)/21 is divided by (-2 - 3 - j) + 13.
5
Suppose 2 = -2*d + 4. Suppose -2*i - 168 + 500 = 5*p, -i = -d. Calculate the remainder when p is divided by 25.
16
Suppose 2*r - o - 11 = 0, -r + 0*r - 2*o = -18. Suppose -9*p = -r*p + 14. Let d = p - -49. Calculate the remainder when 64 is divided by d.
29
Suppose -20*o + 24 = -56. Suppose 0 = o*l - v - 25, -l = 6*v - 5*v - 10. What is the remainder when 151 is divided by l?
4
Let o(x) = -x**3 - 15*x**2 + 13*x - 53. Let t be o(-16). Calculate the remainder when (-2)/(-3)*(t - 1324/(-8)) is divided by (-2)/9 - (-400)/18.
19
Suppose 0 = -3*j - 2*j + 25, 4*w = -2*j + 14. Let v be (2 + (-1 - -4))/1. Calculate the remainder when w is divided by (-1)/v - 3/(-15)*6.
0
Suppose -10*j + 4812 = 2*j. Suppose -j - 643 = -4*d. Suppose 0 = 7*a - d + 44. Calculate the remainder when a is divided by 9.
4
Suppose -i - 3186 = -u, 12745 = 10*u - 6*u - 3*i. What is the remainder when u is divided by 22?
19
Let u(f) = 9*f**2 + 23*f - 4. Calculate the remainder when u(7) is divided by 20.
18
Suppose -3*o = -5*h + 925, -515 - 218 = -4*h + o. What is the remainder when h is divided by 100?
82
Calculate the remainder when -1*((-19181)/9 + (-13)/(-117)*2) is divided by 6.
1
Suppose -22*h = -25*h + 27. Suppose 15*y - 198 = h*y. What is the remainder when 128 is divided by (-4)/22 + 732/y?
18
Let j(u) = 6*u**2 + 76*u + 221. Calculate the remainder when j(-14) is divided by 204.
129
What is the remainder when ((-7)/56)/(31/(-52328)) is divided by 134?
77
Suppose -11*t + t + 240 = 0. Suppose 5*o - 642 - 1768 = 0. Suppose -4*a + o - 10 = 0. Calculate the remainder when a is divided by t.
22
Suppose i = 4*f - 31, 4*f - 5*i + 2*i = 29. Let j(y) = 2*y**2 - 3*y - 1. What is the remainder when j(f) is divided by 12?
7
Suppose 0 = -2*o - 5*h + 8*h + 12912, 3*o + h - 19401 = 0. Calculate the remainder when o is divided by 154.
151
Let o = -1479 - -1510. Calculate the remainder when o is divided by 2.
1
Suppose 1353*x - 1340*x - 9360 = 0. What is the remainder when x is divided by 265?
190
Suppose -240*q = -293*q + 265. What is the remainder when 9 is divided by q?
4
Suppose 2*r = -2*a - 10, -38 = 23*r - 19*r - 5*a. Let p(b) = 2*b**2 + 14*b + 11. Calculate the remainder when 38 is divided by p(r).
5
Let a = 62 + -58. Let l be a - ((33 - 0) + 3). Calculate the remainder when 54/(-12)*l/6 is divided by 9.
6
Let c(x) = -x**3 + 16*x**2 + 11*x - 38. Let v(y) = 6*y + 27. Let u be v(-5). Let l be (-12)/(u + 27/12). Calculate the remainder when c(l) is divided by 28.
26
Let h(l) be the third derivative of -l**5/60 - 7*l**4/6 - l**3 + l**2 - 96*l. Calculate the remainder when 105 + (0 - 0) + -1 is divided by h(-27).
20
Suppose -101*z - 189 = -128*z. Let q(m) = -38*m**3 + 2*m**2 + 2*m + 1. Calculate the remainder when q(-1) is divided by z.
4
Let a(z) = z**2 + 49*z - 20. Let k be a(-47). Suppose -108 = -l - 3*u, -3*l + 297 - 28 = -2*u. Calculate the remainder when l is divided by (4 - 2 - 3)/(6/k).
17
Let n(f) = 7*f**2 - 8*f + 7. Let o be n(-11). Let a = -631 + o. Calculate the remainder when a is divided by 63.
59
Suppose -1691 - 2432 = -5*h + 2*j, -2*h - 4*j = -1630. Let l = h - 808. Let f(w) = -w + 118. What is the remainder when f(0) is divided by l?
13
Suppose -9*f + 5*s - 1490 = -14*f, -1508 = -5*f + s. Calculate the remainder when f is divided by 170.
131
Suppose -3 = 9*k - 156. Suppose 4*n - 49 = -c, 0 = 2*n - 4*n + c + k. What is the remainder when 186 is divided by n?
10
Let g = 20409 + -20391. Calculate the remainder when 484 is divided by g.
16
What is the remainder when 24/(-84) - (-4246)/14 is divided by 22?
17
Suppose 2*m + 0*m = d + 15, 11 = -d + m. Calculate the remainder when 231 is divided by (d + 33)/(-2 - -4 - 1).
23
Suppose -5*m + 11 = -8*m - 4*o, 2*o = m - 13. Suppose 5*i - m*l + 300 = 2*l, -48 = i + 3*l. Let u = -40 - i. Calculate the remainder when 30 is divided by u.
13
Suppose 0 = 5*n + 7*w - 5*w - 60, 5*w - 15 = n. What is the remainder when (-14)/35 - (-1206)/15 is divided by n?
0
Suppose 289*c = 382*c - 16182. What is the remainder when 526 is divided by c?
4
Suppose -35*n + 56*n = 55*n - 2312. Let w(c) = c**2. Calculate the remainder when n is divided by w(-3).
5
Let p = 19315 - 18883. Calculate the remainder when p is divided by 73.
67
Let k = -6757 + 6928. Calculate the remainder when 664 is divided by k.
151
Suppose 3*t - 3*q - 53 = 2*q, 3*t - 3*q = 51. Calculate the remainder when (-7*(-30)/35)/((-2)/(-9)) is divided by t.
11
Suppose 3*a - 292 = -2*b, 3*a - 3*b + 297 = 6*a. Let d = a - 50. Calculate the remainder when d is divided by 15.
14
Let g = 159 - 156. Suppose 20*w = g*w + 1887. What is the remainder when w is divided by 5/((-10)/(-12)) - 2/(-1)?
7
Let d be 4/8 + (-62)/(-4). Suppose d*b + 15 = 63. Calculate the remainder when 41 is divided by b.
2
Suppose 0 = 4*d - 10*d - 174. Let o = d + 12. Let f = 42 + o. What is the remainder when 74 is divided by f?
24
Let a(l) = 2*l - 24. Let m(s) = s**3 - 9*s**2 + 5*s + 4. Let v be m(9). Suppose 0*k - v = -k. Calculate the remainder when k is divided by a(17).
9
Let d(y) = y - 9. Let s be d(10). Let k(w) = 19*w**2 - 14*w + 14. What is the remainder when 112 is divided by k(s)?
17
Calculate the remainder when 215 is divided by 15/(-90) + 31/114 + 7960/190.
5
Suppose -15*p - 179*p = 48*p - 277816. Calculate the remainder when p is divided by 72.
68
Let y(g) be the second derivative of 3*g**3/2 - 14*g**2 + g - 3. Calculate the remainder when y(6) is divided by 17.
9
Suppose -4*m - l + 1440 = -0*m, -2*m - 4*l + 720 = 0. Calculate the remainder when 1449 is divided by m.
9
Suppose 22*i + 2045 - 7303 = 0. Calculate the remainder when i is divided by 137.
102
Let j(d) = -d**3 + 4*d**2 + 2*d + 16. Let o be j(-4). Suppose 1570 - o = 3*y. What is the remainder when y is divided by 37?
34
Suppose 3*x - 12 = 3. Let o(y) = 2*y**3 - 10*y**2 + 15*y - 7. What is the remainder when 196 is divided by o(x)?
60
Let a(b) = b**2 - 22*b - 533. Calculate the remainder when a(40) is divided by 74.
39
Suppose -80 - 154 = -3*b - n, 0 = -2*b - 5*n + 143. Let s be ((-12)/1)/(33/88). Calculate the remainder when b is divided by (-5)/10*s + 4.
19
Let r(c) be the third derivative of -13*c**2 - 2/3*c**3 + 0*c + 0 + 1/8*c**4. What is the remainder when 30 is divided by r(4)?
6
Suppose 38*a + 6 = 39*a. What is the remainder when 157 is divided by ((-32)/a)/((-4 + 12)/(-48))?
29
Suppose -5*p - 5*b - 2170 = 0, -11 = 5*b + 9. What is the remainder when p*(-70)/20*1/7 is divided by 54?
53
Let c(h) = 834*h**2 - 30*h - 126. Calculate the remainder when c(-5) is divided by 13.
9
Let o(w) = -12*w + 41. Let j(x) = -x. Let g(v) = 5*j(v) - o(v). Let p = -192 + 201. What is the remainder when 34 is divided by g(p)?
12
Let n be ((-3)/5)/(-2*(-4)/(-200)). What is the remainder when (438/