 divided by x?
6
Let a(h) = h**3 - 4*h**2 + 5*h. Suppose -2*r + 6 = f, 5*f - 5 + 40 = 3*r. Suppose 4 - 17 = -o. Calculate the remainder when a(r) is divided by o.
11
Let k = -671 + 927. What is the remainder when k is divided by 53?
44
Suppose 2*r - 30 = 2*f + 2*f, 0 = -4*r + f + 81. Calculate the remainder when 6/33 - (-1142)/11 is divided by r.
20
Suppose 5*z - 5*x = 2*z + 169, -4*z = -3*x - 218. Suppose f - z = 69. Calculate the remainder when f is divided by 31.
29
What is the remainder when 70 - (-1)/(1/3) is divided by -2*(-4)/(-8)*-27?
19
Let x(p) = p**3 + 7*p**2 + 4*p + 10. What is the remainder when x(-5) is divided by 7?
5
Let k(h) = h**2 - 17*h - 51. What is the remainder when k(-11) is divided by 66?
59
Let w(x) = -x**3 + 2*x + 1. Let u be w(-2). Let v(f) = f**3 - 5*f**2 + 2*f - 7. Let b be v(u). Suppose 26 = p - b. What is the remainder when p is divided by 8?
5
Let h(k) = -5*k**2 + 22*k - 3. What is the remainder when 36 is divided by h(3)?
0
Let x be (4/5)/((-18)/(-450)). What is the remainder when 33 is divided by 8/(4/x*5)?
1
Let y = -11 + 19. Let g(p) = -p**3 + 8*p**2 + 3. Let a be g(y). Suppose -7 = -3*j - a*u + 56, -4*j + u + 84 = 0. Calculate the remainder when j is divided by 8.
5
Let w = -217 - -302. What is the remainder when 424 is divided by w?
84
Let n be (-1)/4*-4 - -2. Suppose -3*h + 2*l = -14, 0 = -0*h - h + 3*l - 7. What is the remainder when 171/6 + n/2 is divided by h?
6
Let o(k) = 13*k - 162. What is the remainder when o(30) is divided by 47?
40
Suppose 3*f - 8*f - 3*d = -132, 4*f = 3*d + 84. Calculate the remainder when 55 is divided by f.
7
Let x = 70 - -3. Suppose 3*p = 4*c + x, -17 = -2*p - 4*c + 25. Let h(t) = -3*t**3 - 2*t**2 + 3. Calculate the remainder when h(-3) is divided by p.
20
Suppose 4*r + n = 193, 5*r + n - 95 = 3*r. Calculate the remainder when r is divided by 20.
9
Let w = 102 - 38. Let q = -39 + w. What is the remainder when 97 is divided by q?
22
Let n be (-336)/(-15) + 6/10. Suppose n = -5*h + 188. Calculate the remainder when 65 is divided by h.
32
Let j be (405/(-6))/((-2)/4). Let b = j - 109. What is the remainder when 206 is divided by b?
24
Calculate the remainder when -2 + 1550/35 + (-6)/21 is divided by 162/14 - (-8)/(-14).
9
Let v be 2*(-3)/(-12)*0. Suppose -5*h + 15 = 4*k - v*k, 15 = 5*h + 3*k. Calculate the remainder when h + -5 - (-24 - -2) is divided by 6.
2
Let o = -157 + -331. Calculate the remainder when ((-2)/4)/(4/o) is divided by 21.
19
Let g(v) = -v**2 + 5*v - 2. Let j be g(3). Suppose 0 = j*b + 12, b = 4*t - b - 1602. Suppose -3*n - t = -10*n. Calculate the remainder when n is divided by 20.
17
Let a = 23 + 7. Suppose -5*d + a + 21 = 4*v, -4*d + 37 = 3*v. Let t(z) = 73*z**3 - z**2 + z + 1. What is the remainder when t(1) is divided by v?
17
Let n be (-18)/12*(-4)/(-2). Let k be 4 - n*3/(-9). What is the remainder when (60/(-8))/(k/(-6)) is divided by 4?
3
Suppose -b = -2*i - 30, 3*b = -2*b + 3*i + 129. Let d = -8 + b. Calculate the remainder when 28 is divided by d.
12
Suppose -3*n = -5*g - 146, -18*g + 270 = 5*n - 21*g. What is the remainder when 1936 is divided by n?
55
Let r = 17 - -2. Suppose 4*f + 5*f = -504. Let b = -51 - f. Calculate the remainder when r is divided by b.
4
Let r(x) = 6*x + 67. Calculate the remainder when 38 is divided by r(-9).
12
Let c = -320 - -1540. Calculate the remainder when c is divided by 17.
13
What is the remainder when 60 is divided by ((-13)/6 - (-17)/102) + 7?
0
What is the remainder when 44 is divided by (-84)/(-168) - 45/(-2)?
21
Suppose n = -4*l + 31, 0 = 4*n - 3*n - 4*l - 63. Let p = n - 33. What is the remainder when 41 is divided by p?
13
Let b(s) = -s**3 - 3*s**2 + 7*s - 20. Calculate the remainder when b(-7) is divided by 16.
15
Let x(k) = 2*k**2 + 9*k + 1. Let o be x(-6). Suppose 3*v - 2 = o. Suppose f = 13 + 6. What is the remainder when f is divided by v?
5
Let p(z) = 34*z**2 - 10*z + 10. Let d be p(3). Suppose -21*r = r - d. Calculate the remainder when (-123)/(-5) - (-4)/10 is divided by r.
12
Let t be 378/(-8)*920/(-69). Suppose -22*o + 206 + t = 0. Calculate the remainder when 265 is divided by o.
37
What is the remainder when 42 is divided by 8 - 10 - (-68)/4?
12
Let r(a) = -68*a - 427. What is the remainder when r(-9) is divided by 62?
61
Let k(l) = 5*l - 342. Calculate the remainder when 50 is divided by k(71).
11
Let f = -190 + 215. Let x(a) = 90*a + 5. Let b be x(4). Suppose 0 = -5*k - 3*o + 365, -5*k = -3*o + 4*o - b. Calculate the remainder when k is divided by f.
23
Suppose 3*d + 8 + 15 = 2*x, 0 = 4*x + d - 53. Calculate the remainder when 477 is divided by x.
9
Suppose -9*t - 2 = -10*t. Suppose -4*v + 35 = v + t*g, 3*v = -5*g + 40. What is the remainder when 5 is divided by v?
0
Suppose 0 = -6*w + 509 - 173. What is the remainder when w is divided by 29?
27
Suppose 0 = -4*w + 3*r + 2*r + 8889, -20 = 4*r. Calculate the remainder when w is divided by 74.
70
Let n(i) = -i**3 + i**2 + 54*i - 5. Calculate the remainder when n(-10) is divided by 70.
65
Let t(l) = 13*l - 17 + 7*l - 12*l. What is the remainder when t(4) is divided by 3?
0
Let v = -53 + 58. Suppose y - i = -3*y + 456, 570 = 5*y + v*i. What is the remainder when y is divided by 29?
27
Let m = -15 - -17. Suppose 63 = -m*n + 9*n. What is the remainder when 70/2*(n - 8) is divided by 18?
17
Let a = 90 + -43. What is the remainder when a is divided by 19/((-874)/(-556)) + (-2)/23?
11
Suppose -34*t = 4*u - 32*t - 238, -5*u + 293 = t. What is the remainder when u is divided by 25?
8
Let v = 118 + -51. What is the remainder when v is divided by 5?
2
Suppose g - 3*g = h, 2*g = -5*h - 40. Let p = 21 + h. Suppose -3*m + 4*m = z + 21, 5*z = -4*m + 84. Calculate the remainder when m is divided by p.
10
Suppose 3*g - 2*g - 15 = 0. Suppose 0 = s + 5*j - 43 - 15, -2*j + 359 = 5*s. What is the remainder when s is divided by g?
13
Let u = 22 + -15. Suppose 136*n = 47*n + 178. What is the remainder when u is divided by n?
1
Suppose 288 = -29*x + 1303. What is the remainder when 63 is divided by x?
28
Let c(i) = -i**3 + 6*i**2 + 5*i + 4. Let z be c(6). Let g = 294 + -315. Let j = g + z. Calculate the remainder when j is divided by 3.
1
Suppose -3*w - 2*w = -145. Let c = w - 20. Let m = 29 - -6. What is the remainder when m is divided by c?
8
Let h be (-7 - 2) + 0 + -1. Let x be (-8)/h*(-350)/(-4). Let l = x - 37. What is the remainder when l is divided by 9?
6
Let b(t) = t**3 - 3*t**2 - 5*t + 2. Suppose 15 = 4*v + 5*n - 10, n = -3. Calculate the remainder when b(5) is divided by v.
7
What is the remainder when 180 is divided by 198/11 - 5 - 6?
5
Suppose u + 103 = 2*b, -8*b - 160 = -11*b - 4*u. What is the remainder when 246 is divided by b?
38
Let k(t) = t**3 - 5*t**2 - 11*t - 3. Let l = -13 - -20. What is the remainder when 33 is divided by k(l)?
15
Let v(q) be the first derivative of 3*q**2/2 - 10*q - 14. What is the remainder when 171 is divided by v(13)?
26
Let f(d) = 2*d**2 - 22*d - 45. Calculate the remainder when f(22) is divided by 21.
19
Let r(u) = 55*u**3 - 2*u**2 + 1. Suppose -5*j = -6*j + 6. Suppose j*k - 112 = -2*k. What is the remainder when r(1) is divided by k?
12
Suppose 136 = 2*h - 4*g, -254 = -4*h - 2*g + g. Suppose -3*u + h = u. What is the remainder when u is divided by 10?
6
Let a = -1418 + 1455. Calculate the remainder when 116 is divided by a.
5
Let t(g) = -g**3 + 9*g**2 - 7*g - 1. Let j be t(8). Let b = 13 - j. What is the remainder when 10/(-2) - 1 - -33 is divided by b?
3
Let y(n) be the third derivative of 5*n**4/6 + n**3 - 4*n**2. Let x be y(5). Calculate the remainder when 22 is divided by x/9 + (-4)/(-18).
10
Let i(m) = -8*m - 37. Suppose -4*o = -3*z - 48, 4*o - 2*o - 3*z = 18. Calculate the remainder when o is divided by i(-5).
0
Let t(d) = -d**2 - 12*d - 5. Suppose -f = -0*f + 5*n - 10, 0 = 4*f - 3*n + 52. What is the remainder when 103 is divided by t(f)?
13
Let l = 20 - 14. Calculate the remainder when 5 + 4 - (l - 3) is divided by 2.
0
Suppose 111 = 4*b - 261. Suppose b = m + 82. Calculate the remainder when 21 is divided by m.
10
Suppose -21*x + 744 = 10*x. Calculate the remainder when 70 is divided by x.
22
Let h be 0 + 1 - (-3 - -2). Suppose h*t + t = -y + 48, -146 = -2*y + 4*t. Suppose -171*u = -162*u - 144. What is the remain