Calculate the remainder when c is divided by 31.
30
Suppose 155 = 2*k + 33. Let f = 68 - k. What is the remainder when 152 is divided by f?
5
Let b = -295 + 297. Suppose 6*c - 7*c - 88 = -5*s, b*s - c - 37 = 0. Calculate the remainder when 152 is divided by s.
16
What is the remainder when 6397 - 154/121*11 is divided by 84?
83
Suppose -12 = -3*v + v. Let d be v - 3 - -14*1. Suppose -3*w = -j + d, 0 = -3*w - 0*w - 12. Calculate the remainder when 33 is divided by j.
3
Suppose 30 = 4*y + 3*j - 11, 2*y - 3*j = 7. Suppose -y*x + 200 = -280. What is the remainder when x is divided by 18?
6
Suppose -5*a + 3*t = -190, a + 3*t - 19 = 37. Suppose 1848 = a*k + 618. Calculate the remainder when k is divided by 20.
10
Suppose -490 = -2*v - 4*n, 3*n + 224 = -3*v + 959. Calculate the remainder when 513 is divided by v.
23
Let k be (296/12)/(2/3). Suppose 39*i - 256 = k*i. What is the remainder when 1*(-1)/((-388)/i + 3) is divided by 9?
5
Let n = -4892 + 5930. What is the remainder when n is divided by 104?
102
Let n(m) be the first derivative of 9*m**2/2 + 324*m - 60. Calculate the remainder when n(-28) is divided by 16.
8
Let i(m) = 0*m**3 - 4*m**3 + 0*m**3 + 7 + 5*m**3 - 21*m - 2*m**2 - 2. Calculate the remainder when 79 is divided by i(6).
10
Suppose 3*c - 19 = -4. Let u(r) = -70*r - 122. What is the remainder when u(-2) is divided by c?
3
Suppose -3*l - 151 = -2*j, -5*l + 228 = 3*j - 9*l. Let h = -68 + j. Calculate the remainder when 82 is divided by (21/h)/(-1 + (-15)/(-12)).
5
Let u(h) = 7*h - 94. Let d be u(14). Suppose 0*n + 2*r - 134 = -d*n, -5*r = 15. Calculate the remainder when 147 is divided by n.
7
Suppose 2*n + 2*w - 725 = 431, 0 = 3*n - 4*w - 1762. Suppose p + 294 = 2*b, 0 = -4*b + 5*p - 0*p + n. Calculate the remainder when b is divided by 30.
28
Suppose -2*m + 35 = u, -4*m + 3*m - 175 = -5*u. Let b = 3854 - 3793. Calculate the remainder when b is divided by u.
26
Calculate the remainder when 510 is divided by (-18)/(-42) + 13395/105.
126
What is the remainder when 12/(-15)*10*(8 + 6230/(-8)) is divided by 8?
6
Suppose 0 = -5*l - 0*l + 130. Suppose m - 599 = 5*m + z, 5*m = -z - 749. What is the remainder when (20/30)/(-2)*m is divided by l?
24
Calculate the remainder when 886/12*74 - 21/(-63) is divided by 910.
4
Let f(k) = k**3 - 17*k**2 + 17*k + 18. Let p be f(16). Let z be 22/(-5) + -3 + p/10. Calculate the remainder when z/40*-716 - (-6)/15 is divided by 21.
9
Let m = 24 - 36. Let z be (m/20 + 0)/((-3)/45). Suppose -z = 3*p - 12. Calculate the remainder when 3 is divided by p.
0
Suppose -2*b - 2*o + 2 = 0, o - 11 = 62*b - 58*b. Suppose -12 = -u - u. What is the remainder when ((-621)/u)/(b + 5/4) is divided by 14?
12
Suppose -5*s + 4*r - 3*r = -1081, 0 = 5*r - 20. Let t = -1975767 - -1975807. Calculate the remainder when s is divided by t.
17
Suppose 4*f - 1384 = -2*h, 2*h - 39*f = -44*f + 1381. Let c = 705 - h. Let g(v) = v**3 + 5*v**2 - 2*v - 6. Calculate the remainder when c is divided by g(-5).
3
Let o(w) = -4*w - 28. Let y be o(-12). Let k = -17 + y. Suppose -f + 2*h = -13, 0 = -4*h + k + 1. What is the remainder when 73 is divided by f?
13
Suppose 93 = 2*t - 3*c, -3*t + 3 + 154 = -c. Suppose -5*k = -5*z + 125, -4*z + 9*z = 15. Let u = 41 + k. What is the remainder when t is divided by u?
16
Suppose -3 - 6 = -3*f. Let o = f - -34. Calculate the remainder when o is divided by 896/48 + -1 + (-4)/(-3).
18
What is the remainder when (-16)/14 + (-1)/7*-2290 is divided by 122?
82
Suppose -2*z + 252 = 3*d, -246 = -21*d + 18*d - 3*z. Calculate the remainder when 1288 is divided by d.
56
Calculate the remainder when 560 is divided by (-29)/(-78)*13 - (-2)/12.
0
What is the remainder when (-3)/(63/(-32106)) + (-56)/(-49) is divided by 16?
10
Suppose -10*v - 7010 = 11*y - 13*y, -4*v - 17462 = -5*y. What is the remainder when y is divided by 66?
58
Suppose 3*z = -3*r + 552, 201 = 4*r + 5*z - 539. Suppose 5*s + 15*l - 880 = 20*l, r = s - 3*l. Calculate the remainder when s is divided by 22.
20
Suppose 46*s - 37*s = 5157. Suppose -5*r + s = 168. What is the remainder when r is divided by 22?
15
Let m(g) = -243*g - 1885. What is the remainder when m(-8) is divided by 39?
20
Suppose 232 - 7 = 3*q. Let b = q + -34. Calculate the remainder when 154 is divided by b.
31
Let o = 10684 + -10617. Calculate the remainder when o is divided by 35.
32
Suppose o = 5*o - 116. Let c = 120 - 116. Suppose -2*u + r + 2 + 10 = 0, -u + r + c = 0. Calculate the remainder when o is divided by u.
5
Let l be (-948*1)/(-4) + -6. Let d = l + -216. Calculate the remainder when 29 is divided by d.
14
Let n(d) = -66*d**3 + d**2 + 8*d + 8. Let x be n(-1). Suppose -6*b + x = -35. Calculate the remainder when (-22 - 1)*(-1 - 1) is divided by b.
12
Let h = 291 - 287. Suppose -h*z + 23 = -25. Calculate the remainder when z is divided by 11.
1
Let v(l) = -15*l**3 - 9*l + 23*l - 2*l**2 - 3 + 18*l**3 - 10*l. What is the remainder when ((-93)/1)/(12/(-8)) is divided by v(2)?
20
Let u be (-3)/(6/(-10))*(64 + -22). Let k = 446 - u. What is the remainder when k is divided by 40?
36
Suppose 4*t = 24, 162*t = -4*z + 158*t + 4296. Calculate the remainder when z is divided by 23.
10
Let l(m) = -m**2 + 8*m + 1. Let z be 104 + (1 - 5)/4. Let y = z - 77. What is the remainder when y is divided by l(7)?
2
Let k(l) be the third derivative of l**4/12 + 2*l**3/3 - 9*l**2. Let j be k(-5). Calculate the remainder when 14 is divided by 8/(-12)*j + 4.
6
Let d(u) = 12*u**2 + 8*u + 12. Let p be d(6). Suppose -570*r - p = -576*r. What is the remainder when r is divided by ((-34)/8)/((-3)/12)?
14
Let m = 3914 - 3895. What is the remainder when 1176 is divided by m?
17
Let q = 16 + -14. Calculate the remainder when (-1 - q) + (-2 - -129) is divided by (-1)/(3/6) + 34.
28
What is the remainder when (-3)/(1/(-4)*4/13) is divided by 31?
8
Suppose d - 5 = -3. Suppose d*n = -5*n + 63. What is the remainder when 15/(-4)*(-60)/9 is divided by n?
7
Suppose -5 = 4*a + 3*i - 16, 0 = -5*a - 3*i + 13. Suppose -b = 0, -s + 32 = -3*b - b. What is the remainder when 5*-25*((-14)/a + 6) is divided by s?
29
Suppose 2*f - 649 = 3*l, 2*l + 330 = f + 6*l. Let z = 365 - f. What is the remainder when 145 is divided by z?
28
Let j(k) = 3*k**3 + 46*k**2 + 52*k + 12. Calculate the remainder when 1656 is divided by j(-14).
24
Calculate the remainder when (837/9)/((-3)/(-6) - 0/22) is divided by 83.
20
Let o be (-33098)/(-342) + (-6)/(-27). Suppose 0 = 5*l + 5, -5*l = -4*x + o. Calculate the remainder when 39 is divided by x.
16
Let n be (-2415)/(-65) - 6/39. Suppose 23 = 3*d - n. What is the remainder when 479 is divided by d?
19
What is the remainder when 298 is divided by (-38 - -56) + (-2)/(8/(-20))?
22
Suppose -5*j - 3*c + 14 = 0, -4*j - 4*c + 5*c + 18 = 0. Let m be (-329)/(-49) - j/(-14). Suppose m*z = 40 + 72. What is the remainder when 31 is divided by z?
15
Suppose 9*n - 833 - 570 - 298 = 0. What is the remainder when 529 is divided by n?
151
Suppose 0 = 14*z - 17*z - 2*h + 26, -4*z = 3*h - 33. Let p(o) = 7*o**2 - 70*o - 6. Calculate the remainder when p(z) is divided by 11.
8
Suppose -4*l = -2*z - 78, -l + 11*z - 8*z + 32 = 0. Calculate the remainder when 1408 is divided by l.
14
Let z be (20/3)/(9 + 1197/(-135)). What is the remainder when 17 is divided by (-5 + 4)/((-5)/z)?
7
Let g be ((-2)/(-4))/((-2)/(-48)). Let v be -3 + (-4)/(g/(-21)). What is the remainder when v/(-30) - (-18278)/285 is divided by 17?
13
Let r = -2737 - -2743. Calculate the remainder when 111 is divided by r.
3
Suppose 16*c - 20*c + 18450 = 5*g, -3*g - 2*c + 11068 = 0. Calculate the remainder when g is divided by 4.
2
Let m(g) = 2*g + 2. Let f be m(-11). Let u = f - -35. Let p(x) = 17*x + 44. Calculate the remainder when p(-1) is divided by u.
12
Let h(j) = j**2 + 40*j - 29. Suppose 4*z = 5*i - 159, -3*i = 4*z - 77 - 44. What is the remainder when i is divided by h(-41)?
11
Let v = 809 - 401. What is the remainder when v is divided by (-8)/12*(-6 + 2673/(-18))?
99
Let n = -252 + 510. Suppose 13*v = -76 + n. What is the remainder when 277 is divided by v?
11
Let q = -795 - -901. What is the remainder when q is divided by 4 - 5/2*(-112)/7?
18
Let z = -19 - -32. Let s(d) be the second derivative of -d**3/3 + 79*d**2/2 - 8*d - 1. Calculate the re