is divided by y(-4).
23
Let p(z) be the third derivative of z**4/4 - z**3/2 + 2*z**2. Calculate the remainder when p(3) is divided by 10.
5
Let c(u) = -u**2 + 15*u - 4. Calculate the remainder when 108 is divided by c(14).
8
Suppose 3*p = 3*b + 570, -5*p + 0*p + 948 = -3*b. Suppose 6*z = p + 219. What is the remainder when z is divided by 23?
22
Let h(s) = s**3 + 5*s**2 + 3*s - 1. Let x(l) = l**2 - 7*l + 3. What is the remainder when h(-4) is divided by x(7)?
0
Let q(a) be the second derivative of a**5/20 - 7*a**4/12 + a**3/6 - 3*a**2 - 3*a. What is the remainder when 15/(-6)*(-4)/5 is divided by q(7)?
0
Let s = 14 + -6. Suppose 0 = -10*g + 925 - 905. Calculate the remainder when s is divided by g.
0
Suppose 2*g = w - 40, 15*w - 17*w - 4*g = -96. Calculate the remainder when w is divided by 24.
20
Let f(p) = -4*p + 174. Calculate the remainder when f(26) is divided by 62.
8
Suppose -2*d - 3*h - 6 = -6*d, -4*h - 1 = -3*d. What is the remainder when 62 + (2 - (-2)/(-1)) is divided by 17 + d*20/(-15)?
10
Let w(f) = -2*f + 31. Let n be w(0). Let y = n + 34. Calculate the remainder when y is divided by 34.
31
Let c(k) = k - 3. Let x be c(7). Let p = -18 - -30. What is the remainder when (70/x)/((-3)/(-6)) is divided by p?
11
Let t = -89 - -34. Let u = t + 158. What is the remainder when u is divided by 26?
25
Let w(h) = h**3 - 7*h**2 - 5*h - 10. Suppose a = 5*d + 13, 3*d = -4*a + 6*d + 35. What is the remainder when -63*(-1 + 3/21) is divided by w(a)?
12
Let d be ((-1)/3)/(2/(-42)). Suppose -d = -2*f - c - 0*c, -f + c + 8 = 0. Calculate the remainder when 9 is divided by f.
4
Let v be (-2)/(-6) - (-380)/30. Suppose 0 = 17*x - v*x + 120. Let m = x - -61. What is the remainder when m is divided by 11?
9
Let h be ((-2)/1 - -24) + 3. Let g = -11 + h. Let o = g + 5. Calculate the remainder when o is divided by 8.
3
Let f = 65 + -80. Let v(r) = -2*r + 15. What is the remainder when v(f) is divided by 12?
9
Let r(n) = -3 - 8*n + 3 - 23 - 3. Calculate the remainder when r(-11) is divided by 13.
10
Suppose 23 = 4*v + 15. What is the remainder when 77 is divided by ((-9)/v - -4)*-40?
17
Suppose 2*k - 6 = -0*k. Suppose k*g - 19 = 38. Suppose 112*s = 110*s + 14. What is the remainder when g is divided by s?
5
Let p(x) = -2*x**2 - 59*x + 137. What is the remainder when p(-29) is divided by 12?
10
Suppose 3*i = 7*i - 96. Suppose i = 3*h - q + 1, q - 49 = -5*h. Calculate the remainder when 2/h + 129/27 is divided by 3.
2
Let i = -14 - -12. What is the remainder when i/(-3*(-4)/(-96)) is divided by 6?
4
Let h(g) = g**3 + 8*g**2 - 4*g + 25. What is the remainder when h(-8) is divided by 18?
3
Suppose -87*p + 591 = -84*p. Calculate the remainder when p is divided by 35.
22
Let m(s) = 10*s + 25. Let h be m(-2). Let x(r) = -75*r - 2. Let g be x(-3). Suppose -h*t = -182 - g. What is the remainder when t is divided by 21?
18
Suppose 6*h = -0*h - 96. What is the remainder when (82/4)/((-4)/h) is divided by 12?
10
Suppose -2*m = -5 - 5, m = -4*d + 33. Let z(r) = 3*r - 17. Calculate the remainder when 18 is divided by z(d).
2
Let c = 6 + -4. Let a(j) = 5*j + 91. Let z be a(13). Suppose c*g - z = -g. Calculate the remainder when g is divided by 11.
8
Suppose 7*y + 39 = 3*b + 2*y, y - 65 = -5*b. Suppose -3*h - 3 = -0, 4*h + 1 = -j. What is the remainder when b is divided by j?
1
Let g = -2 - -4. What is the remainder when (-56)/6*(-21)/14 is divided by -3 - 7*(-3 + g)?
2
Let q(w) = w**3 + 7*w**2 - w - 9. Let h be q(-7). What is the remainder when (-2277)/(-63) - (-2)/(-14) is divided by 21/1 + (h - 0)?
17
Let u = 503 + -437. What is the remainder when u is divided by 26?
14
Let r(c) = 4*c**2 + 4*c + 27. Let a(y) = -3*y**2 - 3*y - 27. Let s(o) = -3*a(o) - 2*r(o). Calculate the remainder when 51 is divided by s(0).
24
Suppose -616 = -4*a + 3*y, -y + 462 = 77*a - 74*a. What is the remainder when a is divided by 77?
0
Suppose 34*t = 45*t - 352. What is the remainder when t is divided by 20?
12
Suppose -420 = -5*i - c, 5*c - 25 = 10*c. Suppose 0 = -2*z + o + 1, 0 = -5*z - 2*o + 16. Suppose -z*t - i = -7*t. What is the remainder when t is divided by 11?
6
Let n(p) = p + 10. Let j(d) be the third derivative of d**3/6 - 3*d**2. Let z(c) = -2*j(c) + n(c). What is the remainder when z(7) is divided by 6?
3
Let k(a) be the third derivative of -a**6/120 + a**5/5 + a**4/3 - 3*a**3/2 - 16*a**2. Calculate the remainder when k(12) is divided by 22.
21
Let c = 322 + -97. Suppose 2*l = 7*l - 2*n - c, -4*n = -l + 45. Calculate the remainder when l is divided by 8.
5
Let r = -428 - -453. Let w = 11 - 37. Let p = w + 40. Calculate the remainder when r is divided by p.
11
Suppose -3*w = 3*u - 6 - 3, -w + 2*u = -12. What is the remainder when 82 - (-9)/(27/w) is divided by 43?
41
Let x = -127 + 278. Let z = x - 57. Calculate the remainder when z is divided by 16.
14
Suppose 58 + 32 = 9*b. Suppose 233 = 5*g - 4*t, -t + 131 = 3*g - 19. What is the remainder when g is divided by b?
9
Let d = -1783 + 1796. What is the remainder when 179 is divided by d?
10
Suppose -5*z = -3*z. Suppose 2*o - 2*r = 132, -299 = -4*o - z*o - 3*r. Suppose -5*a + 28 = n + n, 36 = n - 3*a. Calculate the remainder when o is divided by n.
23
Suppose 20 = 2*l - 0*l. Suppose -u = -0 - l. What is the remainder when u is divided by 3?
1
Suppose r - s = 68, 2*s = 3*r - 0*s - 209. Calculate the remainder when r is divided by 37.
36
Let j(g) = 7*g**2 + 3*g + 1. Let a be (4/(-10))/(28/70). What is the remainder when 21 is divided by j(a)?
1
Let r(d) = -d**3 - 12*d**2 - 3*d - 11. Let k(x) = -x**3 - 11*x**2 - 4*x - 11. Let s(u) = -3*k(u) + 2*r(u). What is the remainder when s(-7) is divided by 18?
13
Suppose 650 = 8*f - 446. Calculate the remainder when f is divided by 3.
2
What is the remainder when ((-2946)/(-24))/(4/16) is divided by 3?
2
Suppose -2*s = 3*v + 23, -2*v + 5*s = -2 - 8. Let c(a) = -4*a - 12. Calculate the remainder when 13 is divided by c(v).
5
Let c = 178 - 138. What is the remainder when c is divided by 7?
5
Let u(h) = -h**3 - 23*h**2 - 49*h - 20. What is the remainder when u(-22) is divided by 96?
94
Let r = -142 + 142. Calculate the remainder when -2 - (-2 + r) - -84 is divided by 15.
9
Suppose -2*c = -7*c + 290. Let j = -41 + c. What is the remainder when 49 is divided by j?
15
Suppose 5*d - 2*d + 4*q = 142, -5*q = d - 40. What is the remainder when d is divided by 16?
2
Suppose -2*x - v + 28 + 26 = 0, -5*x + 4*v + 161 = 0. Suppose -2*b = 4, 4*b = -2*m - b + 6. What is the remainder when x is divided by m?
5
Suppose -6*n + 116 = -64. What is the remainder when 87 is divided by n?
27
Let b be -2 + (2 - 0) - (-442)/17. Let y = -4 + b. What is the remainder when 63 is divided by y?
19
Let h(f) be the third derivative of -2*f**4/3 - f**3/3 - f**2. Let b be (-1 + 0)/(2 + -1). What is the remainder when 53 is divided by h(b)?
11
Calculate the remainder when 557 is divided by (-1)/2 + (3955/(-14))/(-5).
53
Suppose 0*q - 2*q + 4 = 0. Suppose -21 + 43 = q*o. Calculate the remainder when 42 is divided by o.
9
Let f = 13 + -11. Let k = -3 - -7. Calculate the remainder when k is divided by f.
0
Suppose 4*g - 5*x - 26 = 425, -2*g - 2*x = -212. Let i = 34 + -6. What is the remainder when g is divided by i?
25
Let n = -265 + 281. What is the remainder when 25 is divided by n?
9
Suppose 0 = -q + 6 + 3. Suppose -5*f = -4*n - 157, 2*n + 42 = 3*f - 53. What is the remainder when f is divided by q?
6
Let v be 4/(-6)*3 - -7. Suppose v*u = -h + 409, -u + 5*u - 323 = -5*h. Calculate the remainder when u is divided by 28.
26
Suppose 5*z + 500 = 2*d, -d - 4*z + 2*z = -232. What is the remainder when d is divided by 83?
74
Let w be (-24)/(-16) - 26/(-4). Suppose j - 6*x + x = w, -5*j + 17 = -2*x. What is the remainder when 34 is divided by (-4 - (1 + -8))*j?
7
Suppose -5*y - 26 + 561 = 0. Let p = -168 - -180. Calculate the remainder when y is divided by p.
11
Suppose 0 = 20*c - 14*c + 1800. Let y = -211 - c. Let h = 30 + -7. What is the remainder when y is divided by h?
20
Suppose g + 2*n - 43 = 17, -3*g + n + 159 = 0. What is the remainder when g is divided by 3?
0
Let g(i) = 7*i + 11. Let u be g(11). Suppose 5*d + u = 2*m, -2*d + 0*d = 4. What is the remainder when 57 is divided by 442/m + 8/(-6)?
7
Suppose 5*k + 120 = 7*k + x, 0 = 3