+ 5*y**2 + 3*y**2 - 2*y**2 + 0*y. Calculate the remainder when 107 is divided by h(10).
1
Let t be 3 + 238/35 - (-2)/10. Suppose 5*p - 2*f - 23 = 0, -3*f - 22 = 5*p - t*p. Suppose p*r = 8*r - 81. What is the remainder when r is divided by 14?
13
Let c(u) = u**3 - 9*u**2 - 37*u + 15. Let y be c(12). Suppose -5*m - 649 = -y*j, 0 = 13*j - 11*j + 3*m - 439. Calculate the remainder when j is divided by 20.
18
Suppose 4*l - 28 = -y, -3*l - 15 = -5*y + 2*l. Calculate the remainder when ((-90)/(-4))/15*y is divided by 4.
0
Let j = 234 - 234. Let d(b) be the third derivative of b**5/60 + b**4/24 + 5*b**3 - 4*b**2. What is the remainder when 55 is divided by d(j)?
25
Let k(w) = -48*w - 423. Calculate the remainder when 1194 is divided by k(-9).
6
Suppose 0 = -2*c + 10, 3*k - 28 - 24 = c. Suppose 0 = -35*h + 1731 + 2574. What is the remainder when h is divided by k?
9
Suppose f + 41*f = 22218. Calculate the remainder when f is divided by 9.
7
Suppose 4*p + 524 = 5*t - 479, -p + 578 = 3*t. What is the remainder when 590 is divided by t?
5
Let h(d) = -151*d - 8221. What is the remainder when 694 is divided by h(-56)?
224
Let s(f) = 2*f**2 - 20*f + 8. Let q be s(10). Suppose 0 = -q*l - 244 + 700. Calculate the remainder when l is divided by (-29)/(-2 - (-4 + 3)).
28
Let g be 434 - (7 - (-3 - -18)). Suppose g = 7*x + 169. Calculate the remainder when x is divided by 10.
9
Let s be ((-55)/15 - 3)/((-2)/6). Suppose k - s = -3. What is the remainder when k is divided by (16/(-14))/(6/(-21))?
1
Let c = 116 - 119. Calculate the remainder when (112 + 11)/(c + 4) is divided by 32.
27
Let b = -3299 - -3347. Suppose 10*f - 6240 = 5*f. Calculate the remainder when 1/(3 + f/(-417)) is divided by b.
43
Let s = -157 - -159. Suppose -97 = -s*y - 5*k, 0 = -k - 5 - 0. What is the remainder when y is divided by 14?
5
Let u = -8070 + 9805. What is the remainder when u is divided by 215?
15
Let k = -259 - -325. Let f = -5 + k. Calculate the remainder when f is divided by 22.
17
Let g(j) be the first derivative of -j**4/2 + 14*j**3/3 - 5*j**2/2 - 6*j + 21. Let p = 135 - 114. What is the remainder when g(6) is divided by p?
15
Let t = 17921 + -15071. Calculate the remainder when t is divided by 54.
42
Let y = -13010 - -16488. Calculate the remainder when y is divided by 26.
20
Suppose -20*b + 64*b - 220 = 0. Calculate the remainder when 217 is divided by b.
2
Let i = 48 + -44. Suppose -2*m + 6 = -14. What is the remainder when 1*-29*(-4)/i is divided by m?
9
Let h be 6/(-18) - 13/(-3)*1. Suppose 34 + 34 = h*j. Suppose 0 = 11*w + 173 - 1086. What is the remainder when w is divided by j?
15
Let u(z) = -3*z - 6 - z - 3. Suppose 23*j = 843 + 2170. What is the remainder when j is divided by u(-7)?
17
Suppose 3*g + 4*m = 8*m + 12, 0 = -4*g - 5*m + 16. Suppose -3*k = -3*c, 2*k = g*c - k. Calculate the remainder when 48/2 - c/(-4) is divided by 14.
10
Let x(k) = -k**3 + 12*k**2 - 21*k + 12. Let c be x(10). Suppose 2*q = -2*q - 4*s + 176, 0 = -c*q - 3*s + 90. What is the remainder when q is divided by 24?
18
Suppose -5668 = -5*j + c, 72*j - 69*j + 5*c = 3384. Calculate the remainder when j is divided by 54.
53
Let z(k) = 2*k**3 - 4*k**2 - 4*k - 7. Let d be z(-5). Suppose 1631 = 6*a + 1601. What is the remainder when 2 - (a - d)/(-6) is divided by 15?
14
Let h(z) = -195*z + 341. Calculate the remainder when h(0) is divided by 15.
11
Let a(y) = -y**2 + 25*y - 57. Let o be a(22). Let v(d) = -d + 14. Calculate the remainder when 16 is divided by v(o).
1
Calculate the remainder when (2/(-2))/(1/(-30)) is divided by (-4088)/8176*33/((-1)/(2/3)).
8
Let g(t) = 25*t + 5. Let r(i) = 50*i + 11. Let b(j) = -5*g(j) + 2*r(j). Suppose 6 = -42*c + 39*c. Calculate the remainder when b(c) is divided by 10.
7
Let q(z) = z + 5. Let l be q(4). Suppose -2*d + 42 = -3*g + l, 5*d + 4*g = 94. Suppose 0 = -417*p + 422*p - 235. What is the remainder when p is divided by d?
11
Suppose 0 = 12*c - 31 - 101. Let j(l) = l**2 - 9*l - 23. Let t be j(c). What is the remainder when 60 - (t + -3 - 0) is divided by 11?
9
Suppose -23 = -9*i + 13. Suppose -52 = -2*z - 4*h, 4*z - i*h - 130 = h. What is the remainder when 95 is divided by z?
5
Let i = 11585 - 11539. Let n = 79 + -19. Suppose n = b + 4*b. Calculate the remainder when i is divided by b.
10
Suppose 9*d + 231 = 20*d. Suppose -3*n + 177 = 3*i, -2*n + d*i + 90 = 16*i. What is the remainder when 92 is divided by n?
37
Suppose 84 - 417 = -149*j + 114. Calculate the remainder when 926 is divided by j.
2
Let a(d) = 357*d + 1093. What is the remainder when 118 is divided by a(-3)?
8
Let u = -39 + 125. Let z = 110 - u. Suppose -31*w + 483 = -z*w. What is the remainder when w is divided by 12?
9
Suppose -7*f + 87 = 3*s - 4*f, 4*s + 3*f = 119. Suppose s*y - 459 - 117 = 0. Calculate the remainder when 287 is divided by y.
17
Let s(b) = 17*b**3 - b**2. Calculate the remainder when s(2) is divided by (-6)/7 - (12160/(-532) - -7).
12
Let r(y) be the second derivative of -7*y**2 + 0 - 4*y + 13/3*y**3. Calculate the remainder when r(6) is divided by 29.
26
Let t(h) be the third derivative of 1/120*h**6 + 4/3*h**4 - 4/15*h**5 + 0 + 25*h**2 + 8/3*h**3 + 0*h. What is the remainder when t(14) is divided by 25?
22
Let o = 16 - -89. Let y = o - 39. Suppose -d + 84 = 5*s, 5*s = -4*d + 30 + y. Calculate the remainder when 30 is divided by s.
14
Suppose 13*h - 1466 + 334 = 1143. Calculate the remainder when 727 is divided by h.
27
Suppose -g - p + 42 = 0, 237 = 5*g + 2*p - 6*p. Let t = -65 + 69. Suppose -2*b - t*i = -12, 2*i + 26 = 5*b - 2*b. What is the remainder when g is divided by b?
5
Suppose 33*f = 11*f + 15334. Let u = f + -536. Calculate the remainder when u is divided by 27.
26
Let v(f) = -4*f**3 - f. Let t be 80/14 - (-3 - 19/(-7)). Suppose t*y + 3*y - 189 = 0. What is the remainder when y is divided by v(-1)?
1
Suppose 927*y + 5*m + 1070 = 932*y, 4*m = -4*y + 912. What is the remainder when 258 is divided by y?
37
Suppose -6*g - 62*g = 31*g - 12276. What is the remainder when g is divided by (-9)/((0 + 2)/(-2))?
7
Let f(w) = -7*w**3 + 19*w**2 + w + 2. Let m(d) = 5*d**3 - 18*d**2 - 1. Let o(x) = -2*f(x) - 3*m(x). What is the remainder when o(7) is divided by 39?
36
Let k = 38 - 40. Let z(b) = -b - 10. Let w(r) = 3*r + 20. Let y(l) = k*w(l) - 5*z(l). What is the remainder when 23 is divided by y(-3)?
10
Suppose 0 = -3*w + 5*x + 8720, -w + 2910 = 557*x - 558*x. Calculate the remainder when w is divided by 7.
3
Let q(i) = 120*i. Let k be q(-1). Let h = k + 120. Suppose 4*o = -5*p + 194, -p + 0*p - o + 38 = h. Calculate the remainder when p is divided by 9.
6
Calculate the remainder when 662 is divided by ((-5)/(-10))/(23/2208).
38
Suppose -8 = -192*p + 191*p, -l + 68 = 3*p. What is the remainder when 645 is divided by l?
29
Let i(j) = j**2 + 6*j - 53. Let p be i(5). Suppose -5*h = -5, 0*z = -2*z + p*h + 42. Calculate the remainder when 36 is divided by z.
14
Let o(a) = 828*a + 8. Let w(p) = 2*p**2 + 10*p - 8. Let x be w(-6). Let q be o(x). Calculate the remainder when q/56 - 4/14 is divided by 8.
3
Suppose o + 25*v = 28*v - 40, -o - 39 = -4*v. Let u(h) = -h**3 - h**2 - 2*h + 2. Let f be u(2). Let d = f - o. What is the remainder when 56 is divided by d?
27
Let t(j) = -j**2 - 6*j + 2. Let g(c) = c**3 + 3*c**2 - 3. Let x be g(-4). Let w = x + 25. Calculate the remainder when w is divided by t(-6).
0
Suppose -8*i = 2*u - 5*i + 37, 2*i = -5*u - 87. Let k = u + 91. What is the remainder when k is divided by 15?
14
Let y = -103 - -107. Suppose p + 37 = o + y*p, -p = o - 33. Let k(f) = 7*f - 1. Calculate the remainder when k(13) is divided by o.
28
Calculate the remainder when 28/(-686) + 5488028/686 is divided by 63.
62
Suppose -2*h = -3*k + 49, -3*k + 47 = -0*k - 4*h. Suppose -67 = -5*x - k. What is the remainder when x is divided by 10?
0
Let h(d) = -5*d - 31. Let j = 6 + -17. Let f(k) = 2*k - 11. Calculate the remainder when h(j) is divided by f(8).
4
Let l(z) = -16*z**2 + 295*z + 10. What is the remainder when l(18) is divided by 76?
60
Let c(m) = -1 + 2 - 5 + 12*m - 11. Calculate the remainder when c(5) is divided by 8.
5
Suppose 6 = 2*l - 0*l. Suppose 5*h - 10 = -0*n + 2*n, -h + 19 = l*n. Suppose x - 2*u - 27 = n, 3*x - u = 96. Calculate the remainder when x is divided by 11.
10