). Suppose 5*z = -197 + 512. Let f = k + z. Calculate the remainder when f is divided by 5.
3
Let n = 130 - 117. Calculate the remainder when 35 is divided by n.
9
Suppose -2*n = -64 - 28. Suppose 420 = 1587*o - 1552*o. Calculate the remainder when n is divided by o.
10
Let r(m) = -m**2 - 23*m + 1. Let o be 3 + (-21 - (-4 - -8)). Calculate the remainder when r(o) is divided by 8.
7
Let v = -4 - -14. Calculate the remainder when 19 is divided by ((-5)/v)/(2/(-28)).
5
Let h be 0/(-1) - 4 - -16. Suppose 0 = 17*v - h*v - 160. What is the remainder when v is divided by 7?
4
Let y = 19 + 6. Let q = y + -15. Calculate the remainder when q is divided by 7/(-4) + 1 - (-297)/44.
4
Let v(q) be the second derivative of -q**5/4 - q**4/6 - q**3 - 3*q**2/2 - 59*q. What is the remainder when v(-2) is divided by 4?
1
Suppose o - 5 = -1, -2*h = o - 10. Suppose h*u = 5*j + 29, -2*u + 0*u - 3*j + 51 = 0. What is the remainder when 51 is divided by u?
15
Let k be 3/(-6)*31*16/4. Let d = 77 + k. Suppose 281 = -0*w + 5*w + 4*z, w + 4*z - 53 = 0. What is the remainder when w is divided by d?
12
Suppose 4*a - 3*h = 312, -2*h + 26 = 3*a - 191. Suppose -76*y + a*y + 9 = 0. Suppose -3*r = -4*r + 52. Calculate the remainder when r is divided by y.
7
Let t(p) = p**2 + 3*p + 3. Suppose 21 = -5*w + 6. Let c be t(w). Suppose c*r - 64 = r. What is the remainder when r is divided by 18?
14
Let y(q) = 8*q + 10. Let j(u) = u**3 - 16*u**2 - 15*u - 12. Calculate the remainder when y(9) is divided by j(17).
16
Let b(g) = 68*g - 447. What is the remainder when b(7) is divided by 29?
0
Suppose -3*c + 12*b - 15*b + 1332 = 0, -4*c + 1764 = b. Calculate the remainder when c is divided by 49.
48
Suppose -86 + 1503 = 13*h. What is the remainder when h is divided by 10?
9
Suppose h + 4*o - 69 = 0, -3*h + 6*h - 277 = 2*o. What is the remainder when h is divided by 23?
20
Suppose -4*r - 16 = 4*p, -r = -2*r - 5*p - 12. What is the remainder when 13 is divided by ((-2)/r)/(1/7)?
6
Let c = -48 + 3. Let t = -5 - c. What is the remainder when t is divided by 6?
4
Let n be 15 - ((5 - 2) + -5). Suppose 3*x = 2*x + h + 2, -n = -4*x + h. Suppose 0 = 2*g - 11 - x. What is the remainder when 15 is divided by g?
7
Suppose 14*k - 150 = 11*k. Calculate the remainder when k is divided by 21.
8
Suppose -m = 3*l - 103, m - 192 = -m + l. What is the remainder when m is divided by 28?
13
Suppose 0 = 5*m + 28 - 73. Calculate the remainder when (-294)/(-12) + (-2)/(-4) is divided by m.
7
Suppose 11*j - 9 = 10*j. Suppose -j*r - 40 + 157 = 0. Calculate the remainder when r is divided by 4.
1
Let h(c) = -6*c + 13. Let d(k) be the second derivative of -k**4/12 - 5*k**3/3 - 5*k**2/2 + 2*k. What is the remainder when h(-10) is divided by d(-6)?
16
Suppose 2*x = 7*x - 65. Let v = -19 - -42. Calculate the remainder when v is divided by x.
10
Let v(k) = k + 14. Let b be v(-12). Suppose -a + 28 = -2*d - 5*a, 4*a - 4 = b*d. Let h = d + 15. Calculate the remainder when h is divided by 4.
3
Suppose -3*i - 81 = 5*n, 4*i + 6*n + 108 = n. Let j = i + 38. Suppose 2*o - 116 = -4*g, o = 3*o - 2*g - 104. What is the remainder when o is divided by j?
10
Suppose x - 23 = -3*c - 0*c, -5*x + 3 = c. What is the remainder when 46 is divided by c?
6
Let g(m) = -m**3 + 15*m**2 - 11*m + 8. Let a be g(6). Let b = -148 + a. What is the remainder when b is divided by 15?
13
Let x = 3 + 0. Let h be 28/(-21) + (-16)/6. What is the remainder when h/7 - 598/(-91) is divided by x?
0
Calculate the remainder when 21 is divided by ((10/(-3))/(-5))/((-7)/(-84)).
5
Let h = -49 + 53. Suppose 39 = -h*p + 95. Calculate the remainder when 25 is divided by p.
11
Let o be (1 + -10)*(-15)/5. Suppose 0 = -4*n + 2*f + 140, -5 - o = -n - f. What is the remainder when 134 is divided by n?
32
Suppose 5*v - 115 = -35. Suppose h - 6*h + 3*z + v = 0, z = 3. Suppose 0 = -h*d - 0*d + 105. What is the remainder when 39 is divided by d?
18
Let i(c) = -5*c**2 - c + 1. Let s be i(1). Let h(j) = -11*j + 5. Let t be h(s). Calculate the remainder when 70 is divided by ((-12)/5)/((-8)/t).
16
Let b(y) = -2*y**2 - 49*y + 831. Let d be 2/(2 + -3 + 2). Suppose -4*g + 20 = -d*g. What is the remainder when g is divided by b(-36)?
1
Let k be ((-2)/(-3))/((-1)/(-6)). Suppose 0*y - k*y = -220. Calculate the remainder when y is divided by (-6)/(-4)*348/90*5.
26
Let t = -11 + 59. Let u = t + -40. What is the remainder when 13 is divided by u?
5
Suppose -6*n + 868 = 22*n. Calculate the remainder when 61 is divided by n.
30
Suppose 16*s - 14*s = -58. What is the remainder when 1 - (s - 5/(-5)) is divided by 18?
11
Suppose 4*r + 47 + 49 = 2*p, -4*p + 189 = -5*r. What is the remainder when p is divided by (-190)/266 - 89/(-7)?
10
Let h(v) = v**3 + 16*v**2 - 17*v + 12. Calculate the remainder when 45 is divided by h(-17).
9
Let m(t) = -81*t**3 - 7*t - 7. Suppose 2*u - 310 = -3*u. Let b = u + -34. Calculate the remainder when m(-1) is divided by b.
25
Let p(o) be the first derivative of o**3/3 + 3*o**2 + 15*o + 29. Calculate the remainder when p(-9) is divided by 15.
12
Let x(f) be the second derivative of -f**3/2 + 59*f**2/2 - 9*f. Suppose -b - 2 + 14 = 0. What is the remainder when x(0) is divided by b?
11
Let q = -507 + 1116. What is the remainder when q is divided by 47?
45
Let v(g) = g**3 - 3*g**2 - 6*g + 1. Suppose -4*f + 352 - 104 = 0. Calculate the remainder when f is divided by v(5).
20
Suppose 12 = h + 4*r - 8, -3*r - 9 = 0. Calculate the remainder when 253 is divided by h.
29
Suppose 869*u - 846*u - 138 = 0. Let m = -3 - -11. What is the remainder when m is divided by u?
2
Let m = -314 + 407. What is the remainder when m is divided by 31?
0
Let t = -252 - -264. Let f = 98 + -40. Calculate the remainder when f is divided by t.
10
Suppose -h - 2*f - 94 = -11, -h + f = 83. Let a = -26 - h. Let d(x) = -x**2 - 11*x - 4. Calculate the remainder when a is divided by d(-8).
17
What is the remainder when (-5)/10*(-1118)/13 is divided by 16?
11
Suppose -72 = -6*o + 2*o. Let x(k) = -k**3 + 14*k**2 - 9*k + 130. Calculate the remainder when o is divided by x(14).
2
Let k be (-33)/(-4)*468/117. Suppose 0*a - 3*a = -72. Let f = k - a. Calculate the remainder when 34 is divided by f.
7
Calculate the remainder when 398 is divided by 2 + (2/8 - (-1581)/12).
130
Suppose z - 3 = 3*h - 37, -2*h + 2*z + 24 = 0. Let x be 6/36 + h/6. Suppose -3 = -x*d + 11. Calculate the remainder when 27 is divided by d.
6
Let k(r) = -9*r**3 + 2*r**2 + r - 1. Suppose -5*d + 15 = 20. Calculate the remainder when 16 is divided by k(d).
7
Suppose -2*u - 402 = -4*w, 5*u - 70 = -2*w + 101. What is the remainder when 192 is divided by w?
94
Let x be (-2)/(-3 - (6/(-2) + -2)). Calculate the remainder when x/4 - 4/((-112)/1267) is divided by 8.
5
Let d be 3 + ((-1)/(-3) - (-174)/(-9)). Let q = d + 30. Calculate the remainder when q is divided by 8.
6
Suppose -12*p = 3*y - 8*p - 173, 2*p = y - 51. Suppose 54*k = y*k - 16. What is the remainder when 110 is divided by k?
14
Suppose j = -3*j + 116. What is the remainder when 121968/1092 - 12/(-39) is divided by j?
25
Suppose 5*h = 2*y + 227, -2*h - 7*y + 89 = -6*y. Calculate the remainder when 169 is divided by h.
34
Let r = 12 - 28. Let c = 36 + r. Let d(f) = f + 5. What is the remainder when c is divided by d(6)?
9
Let a = -1 + 239. Let c = 345 - a. What is the remainder when c is divided by 22?
19
Suppose -2*y + 5*m + 76 = -3*y, -90 = y - 2*m. Let r = 61 + y. Let i = r + 40. Calculate the remainder when 42 is divided by i.
12
Suppose -6*m - 378 + 1044 = 0. Calculate the remainder when m is divided by 11.
1
Let u(r) = -3*r**3 - 7*r**2 + r. Calculate the remainder when 104 is divided by u(-3).
14
Suppose -2*z + 2 = 12, -3*z - 27 = -m. What is the remainder when 4/(-18) + -4 + 1135/45 is divided by m?
9
Let i = 472 - 725. Let z = 355 + i. Suppose 3*t + 6 + 75 = 3*b, 5*b = 4*t + 134. What is the remainder when z is divided by b?
24
Suppose 0 = 4*p - s - 216, -4*p = -0*s - 2*s - 216. What is the remainder when 537 is divided by p?
51
Let o = -917 - -926. Calculate the remainder when 1448 is divided by o.
8
Suppose z - 1 = w, 9*z = 4*z + 3*w + 9. Let r be z/(-9) - 211/(-3). Suppose r = 5*h - 10. Calculate the remainder when 46 is divided by h.
14
Let r = 129 + -123. Calculate the rem