Let w = 30 + l. Suppose 2*m = -5*h + 8, -3*h + w = 3*m + 2*m. What is the remainder when 10 is divided by m?
2
Suppose 4*k + 58 = 74. Suppose -92 = -c - 4*q, -5*c + 2*c - k*q + 268 = 0. What is the remainder when c is divided by 19?
12
Suppose 0 = d - 7 + 10. Let m = 17 + d. Calculate the remainder when 41 is divided by m.
13
Let j(p) = -p**2 + 9*p + 10. Calculate the remainder when 51 is divided by j(8).
15
Suppose 41*y - 1530 = 23*y. Calculate the remainder when 762 is divided by y.
82
Suppose -r + 5*z = -88, 3*z + 121 = 2*r - 34. What is the remainder when r is divided by (-135)/6*(-8)/12?
13
Suppose c + 4*c - 5*t - 675 = 0, -2*c + 278 = -4*t. Calculate the remainder when c is divided by 23.
16
Let a(l) be the first derivative of -17*l**2/2 - 11*l + 11. What is the remainder when 197 is divided by a(-3)?
37
Let j be (-2)/6 - (-242)/6. Suppose 0*n + 2*n - j = 0. Calculate the remainder when (6/(-10))/(3/(-285)) is divided by n.
17
Suppose t + 0*w - 5*w - 64 = 0, t - 3*w - 54 = 0. Suppose t = -2*u + 3*u. What is the remainder when u is divided by 14?
11
Let h(w) = -10*w - 17 + 24*w - 19*w. Let d = -8 - -13. Calculate the remainder when h(-9) is divided by d.
3
Let s(n) = 24*n**3 - 3*n + 2. Let l be s(1). Suppose 4*b + 50 = 2*f, -4*f + 53 = -2*b - l. What is the remainder when 66 is divided by f?
15
Let t be ((-6)/(-16)*-2)/(3/(-12)). What is the remainder when 13 is divided by (15/t - -5) + -5?
3
Let f(y) = -2*y**2 + 50*y + 64. Suppose g - 2*g = -22. What is the remainder when f(25) is divided by g?
20
Suppose -16 = 3*r - 4. Let b(n) = -n**3 + 6*n + 6. Let j be b(r). Suppose -h - j = -3*h. Calculate the remainder when h is divided by 8.
7
Suppose 4*j = -5*y + 47, -2*y - j + 10 = -10. Suppose 19*f = x + 15, -5*f - 13 = -4*x - 2*f. Calculate the remainder when y is divided by x.
3
Let q = -31 + 33. Suppose 0 = -q*t + z + 214, 5*z = t + t - 198. Calculate the remainder when t is divided by 28.
25
Calculate the remainder when 259 is divided by (-2605)/(-20) + 3*(-8)/(-32).
128
Suppose 3*a = a - 24. Let m(q) = q**3 + 11*q**2 - 13*q - 5. Calculate the remainder when m(a) is divided by ((-6)/(-5))/(6/15).
1
Let g(m) = m**3 - 6*m**2. Let v = 15 + -9. Let z be g(v). Suppose -3*i + 7*i - 56 = z. Calculate the remainder when i is divided by 8.
6
Suppose -52 + 482 = 5*w. What is the remainder when w is divided by 11/(-396)*12 + 134/6?
20
Suppose 3*n = 7*n - 28. Suppose -3*v + 19 = 2*w, 2*w - 3*v = 299 - 310. What is the remainder when n is divided by w?
1
Suppose 2*r = -2*o - 2*r - 4, -12 = 4*r. Suppose -57 = -2*p - p + 3*f, o*f = -5*p + 131. What is the remainder when (2/6)/(1/273) is divided by p?
22
Let b(c) = 19*c - 6. Suppose -5*t - 105 = -740. What is the remainder when t is divided by b(2)?
31
Let l = 53 - 49. Suppose -n - 70 + 234 = l*g, 0 = 4*g. What is the remainder when n is divided by 55?
54
Let z = -31 + 46. Let y be 180/(-24)*10/(-3). Let o = y - z. What is the remainder when o is divided by 7?
3
Let v = -222 - -398. What is the remainder when v is divided by 45?
41
Let s = 27 + -17. Let q = s + -8. Let p(a) = 8*a**2 - 2*a - 2. Calculate the remainder when p(q) is divided by 14.
12
What is the remainder when ((-2964)/(-133))/(1/7) is divided by 48?
12
Calculate the remainder when (-159)/((-11)/((-693)/(-27))) is divided by 21.
14
Suppose 924 = 1031*y - 1024*y. Suppose -4*w + 32 = -44. Calculate the remainder when y is divided by w.
18
Let q = 16 + -26. Let i be 3/6 + q/4. Calculate the remainder when (-31)/i + 2/(-4) is divided by 8.
7
Suppose -2*o + 54 = 2*p, -30 - 32 = -2*p - 4*o. Suppose -5*m + 3*d + 2 + 58 = 0, 0 = -3*m - 2*d + 36. Calculate the remainder when p is divided by m.
11
Suppose 1201 = 6*l + 301. Suppose l - 50 = 4*w. What is the remainder when 73 is divided by w?
23
Let g(p) = -p**2 - 24*p + 11. Calculate the remainder when 66 is divided by g(-23).
32
Let g(i) = 14*i - 23. Let w be g(-7). Let f = 210 + w. Calculate the remainder when f is divided by 23.
20
Suppose -5*s + 5*b = -0 - 5, -2*s = 3*b - 22. Suppose -5*w = -5*o - 0*o + s, -55 = -5*o - 5*w. Let i = -14 - -29. What is the remainder when i is divided by o?
3
Let v = -443 + 471. Suppose -2*p + 216 = 2*p. Calculate the remainder when p is divided by v.
26
Suppose v + 12*d = 16*d + 114, -660 = -5*v + 2*d. Calculate the remainder when v is divided by 14.
8
Suppose -3*h + 3*g - 8*g = 227, -2*g - 410 = 5*h. Let v = -77 - h. Calculate the remainder when 17 is divided by v.
3
Suppose 3*h - 55 + 10 = 0. Let d(q) = 0*q**2 - 1 + 1 + 6 - q**2 - 7*q. Calculate the remainder when h is divided by d(-7).
3
What is the remainder when (143/(-44))/((-2)/248) is divided by 14?
11
Suppose -87 - 57 = -4*j. Suppose -3*d - 2*h = 40, -2*h = -d + 3*h - j. Let n = d + 45. What is the remainder when 86 is divided by n?
28
Let d(w) = -w**2 + 7*w + 5. Calculate the remainder when 62 is divided by d(3).
11
Let n(h) = 10*h - 6. Let b be 1/(-2)*(-14 - -14). Suppose 30 = 3*x + x + 3*t, x - t - 11 = b. Calculate the remainder when n(5) is divided by x.
8
Let c(j) = -j**3 + 6*j**2 + 8*j - 1. Suppose -4*i + 3*n = -60, -8 = -5*n + 12. Let l = i + 15. What is the remainder when l is divided by c(7)?
3
Let j(z) = z**3 - 10*z**2 - 12*z + 16. Let m(x) = x + 24. Let n be m(-13). Calculate the remainder when 14 is divided by j(n).
4
Suppose -9 = -6*h + 9. Suppose -4*g + 16 = 0, -h*g - 1 = -4*b + 27. Calculate the remainder when b is divided by 4.
2
Let b(v) = v**3 - 7*v**2 - 3*v - 10. Calculate the remainder when 67 is divided by b(8).
7
Let x(z) = z**3 - 14*z**2 + 14*z - 10. Let l be x(13). Suppose -i = b - 2*i - 7, -l*b + 33 = 3*i. Let v = b + 3. What is the remainder when 94 is divided by v?
10
What is the remainder when (-6 - -3) + 168 - 48/16 is divided by 15?
12
Suppose -4*p + z - 17 = 0, -p = 7*z - 3*z. Suppose -2*s = -0*s + 2*k - 20, s - k = 16. What is the remainder when (-1 + s)*(-5)/p is divided by 6?
3
Suppose 8*g + 7 = 23. Suppose a = -2*a + 9. Suppose 0 = -a*n - 2*w + 133, -g*n - 4*w = -61 - 41. Calculate the remainder when n is divided by 11.
8
Let u(d) be the third derivative of -d**4/24 + 5*d**3 - 34*d**2. What is the remainder when u(-16) is divided by 3?
1
Let k(u) = u**3 - 16*u**2 - 15*u - 28. Suppose 2*x - 50 = -2*j - 2*j, 2*j - 42 = -2*x. Let m(h) = h + 5. Calculate the remainder when m(5) is divided by k(x).
4
Let l(k) = -k**2 + k + 18. Let y be l(0). What is the remainder when 13 is divided by 94/y - 6/27?
3
Let p = 3 - 55. Let z = p + 165. Calculate the remainder when z is divided by 29.
26
Suppose -3 = u, 2*t = -t + 5*u - 153. Let w = t + 83. What is the remainder when 107 is divided by w?
26
Let y be (14/6)/(-7 - 169/(-24)). Let u = y + -39. What is the remainder when 50 is divided by u?
16
Suppose 4*k - k + 3*t + 57 = 0, -4*k = 3*t + 77. Let n = -15 - k. What is the remainder when 8 is divided by n?
3
What is the remainder when (-5157)/45*(-5)/3 is divided by 97?
94
Suppose 183*z - 8170 = 164*z. What is the remainder when z is divided by 62?
58
Suppose -7966 = -29*v + 357. Calculate the remainder when v is divided by 30.
17
Suppose -6*z + 34*z = 3920. Calculate the remainder when z is divided by 36.
32
Suppose q + 5 = 30. Suppose 5*w - 10 = 0, 4*g + 3*w - 280 = -w. Calculate the remainder when g is divided by q.
18
Let t = -11 - -17. Let f(p) = 16 + 2 - 2*p - 1 + p. What is the remainder when f(-6) is divided by t?
5
Suppose -352 = 8*r - 648. Calculate the remainder when 132 is divided by r.
21
Let i(m) = 4*m**3 + 3*m**2 + m + 5. Let f be i(-4). Let n = -129 - f. What is the remainder when n is divided by (-2)/3*((-891)/2)/11?
24
Suppose -3*n = -n - 18. Suppose z + 1 = n. Calculate the remainder when 20 is divided by z.
4
Suppose 0*f - 4*f + 208 = 0. Calculate the remainder when f is divided by (-1)/5 - 1209/(-195).
4
Let k = 546 - 524. Calculate the remainder when 702 is divided by k.
20
What is the remainder when 2/((-3516)/(-878) + -4) is divided by 138?
25
Suppose 4*c - 6 = -s, 3*c + 14 - 11 = 3*s. What is the remainder when 10 is divided by s?
0
Let x(l) = -2*l**2 + 4*l**3 - 6*l**3 + 3*l**3 + l + 3 - 11. Calculate the remainder when x(6) is divided by 24.
22
Let v = -11 + 15. Suppose -a - v*a - 3*u = 30, 0 = 3*a - 3*u - 6. What is the remainder when 358/8 + a/(-12) is divid