 is divided by k(30)?
28
Let s(d) = d**3 + 26*d**2 + 55*d + 30. Let b be s(-23). Suppose k = -7*k + b. Calculate the remainder when k is divided by 24.
20
Let c = 8010 - 7846. What is the remainder when 174 is divided by c?
10
Suppose 4878 = l + 5*v, 3079*v - 3083*v + 4874 = l. What is the remainder when l is divided by 13?
9
Let x(c) = -41*c + 5. Let a(o) = -o. Let i(q) = -6*a(q) - x(q). Let d = 49 + -26. Calculate the remainder when i(2) is divided by d.
20
Suppose 3*f - f = -3*n + 9, -f - 2*n = -3. Let h(b) = -b + 11. What is the remainder when 2 is divided by h(f)?
0
Let w = 870 + -865. Suppose -4*v + 264 = -2*i, -3*i + w*i = 5*v - 330. Calculate the remainder when 195 is divided by v.
63
Suppose 1496*g - 17901 = 89811. Suppose 25 = -5*r + 115. Calculate the remainder when g is divided by r.
0
Suppose z = -2*k - 78, 5*z - 248 = 8*z - k. Let f = z + 147. Calculate the remainder when f is divided by 33.
32
Suppose 0 = -b - 13 + 11. Let w(x) = -10*x - 8. Let m(o) = -o**3 - 9*o**2 - 9*o - 4. Calculate the remainder when w(b) is divided by m(-8).
0
Let i = 79 - 263. Let z = -172 - i. What is the remainder when 42 is divided by z?
6
Let j(c) = c**2 - 9*c - 4. What is the remainder when 156 is divided by j(-8)?
24
Let k = 27 + 149. What is the remainder when k is divided by 2/(-48) + (2366/336 - -38)?
41
Let n = 1 - 22. Let h(v) = 2*v**3 - 25*v**2 + 70*v + 3. Let a be h(8). Let x = a - n. What is the remainder when 21 is divided by x?
5
Let o(t) = t**2 - t - 128. Let l = -415 - -427. What is the remainder when 77 is divided by o(l)?
1
Suppose -8*f = -4*f - 3*u, -5*u = -6*f - 2. What is the remainder when 931 is divided by f?
1
Let f(p) = p**2 - 28*p - 88. What is the remainder when 142 is divided by f(-3)?
2
Suppose -169*u - 12922 = -176*u. What is the remainder when u is divided by 42?
40
Suppose -2*o + 8 = -2*z, 4 + 7 = -3*z + 4*o. Calculate the remainder when (-1340)/(-16) + (5/(-4))/z is divided by 43.
41
Suppose -2*n + 111 = -p, -2*n - 2*p = -5*p - 101. Suppose n = 10*x - 12. Calculate the remainder when x is divided by (-1)/8 + (-100)/(-32).
1
Let i be 2/(-4)*(-62 - -28). Suppose 5*j = -4*u, -u = 4*j - 7*j + i. What is the remainder when 31 is divided by j?
3
Let y = 30 - 30. Suppose y = 4*d - 2*o - 342, -2*d = -4*o - 121 - 35. Calculate the remainder when d is divided by 10.
8
Let y(t) = -3*t**3 + 158*t**2 + 59*t + 47. Suppose 2*z - 74 = -5*h, 0 = 5*z + 13 + 2. What is the remainder when y(53) is divided by h?
13
Suppose -w + 6 - 3 = 0. Suppose -a - 2*b + 12 - w = 0, 0 = 2*a - 3*b - 46. Let y = 28 - a. Calculate the remainder when 53 is divided by y.
9
Let o(n) = -871*n + 27877. Suppose 0 = -4*u + m + 84, 96 = 3*u - 2*m + 28. What is the remainder when u is divided by o(32)?
0
Let d be -89*8/(-16)*2/(-1). Let k = 192 + d. What is the remainder when k is divided by 16?
7
Let u = 119 + -49. Suppose 2*d - 11*t - 62 = -15*t, -t = 4*d - 103. What is the remainder when u is divided by d?
20
Let a be -1 + (-7)/14*4/(-2). Let t be 3*(-3 + a)/(-3). Suppose -3*d = 7 - 4, 0 = t*f - d - 208. What is the remainder when f is divided by 14?
13
Let c(h) = h**2 + 40*h + 402. What is the remainder when 5141 is divided by c(-18)?
5
Calculate the remainder when 16416 is divided by 6/((-180)/130)*-9.
36
Calculate the remainder when (757 - (8 + -16)) + 18 is divided by 115.
93
Suppose 22*k - 1451 = 45. Suppose -2*d = k - 108. What is the remainder when 24 is divided by d?
4
Suppose 11*g - 2 = -j + 13*g, -5*j + 32 = g. Suppose 3*x = 0, j*x - 7*x = -2*a + 110. Calculate the remainder when a is divided by 45.
10
Let d = 318 + -171. Let m = d - 141. Calculate the remainder when m is divided by 4.
2
Let k(i) = -i**3 + 9*i**2 + 3*i - 65. What is the remainder when 3076 is divided by k(7)?
52
Suppose -2509 + 569 = -5*p. What is the remainder when p/(-1)*22/(-88) is divided by 22?
9
Suppose 63070 = 183*o - 37031. What is the remainder when o is divided by 181?
4
Suppose 14752 = 4*b + j, -17*j - 11074 = -3*b - 19*j. Calculate the remainder when b is divided by 142.
136
Let t(u) = -u**2 + 22*u - 10. Let i(y) = y**3 + 16*y**2 - 47*y - 698. What is the remainder when i(-13) is divided by t(9)?
99
Let i be 2 - (4 - 5)*-2. Suppose l + i = 20. Suppose -20 = -d + 5*h, -2*d - 5*h + 20 + l = 0. Calculate the remainder when 37 is divided by d.
17
Let z = -25232 - -25496. What is the remainder when 1576 is divided by z?
256
Let m(b) be the third derivative of b**5/30 + b**4/24 - 9*b**3/2 - 41*b**2. Suppose 5*x + 13 = 88. What is the remainder when m(5) is divided by x?
13
Let l(j) = 6*j - 64. Let y(h) = -3*h + 65. Let i(a) = -6*l(a) - 7*y(a). What is the remainder when i(-9) is divided by 26?
12
Let l = -4695 + 4775. What is the remainder when 637 is divided by l?
77
Let m = -4540 + 7364. What is the remainder when m is divided by 113?
112
Suppose -m - 9 = -p + 11, 92 = 5*p - 3*m. What is the remainder when (-8 - -2 - -26) + 4 is divided by p?
8
Suppose 0 = -4*s + 8*s + 92. Let q = 23 + s. Suppose 0 = -3*m - 3*f + 5*f + 46, q = 4*f + 20. What is the remainder when 43 is divided by m?
7
Let d be (2/(-8))/(3/(-4))*78. Suppose -4*r = -x - 6 + d, 0 = 4*x + 2*r - 170. Suppose 2*i + 42 = 440. Calculate the remainder when i is divided by x.
39
Let n(a) = -7*a**3 - 4*a**2 - 3*a - 45. Let x(g) = 10*g**3 + 5*g**2 + 4*g + 68. Let q(i) = -7*n(i) - 5*x(i). Calculate the remainder when q(-5) is divided by 9.
8
Let m be (1/(6/(-10)))/(10/(-30)). Suppose 5*d - m*h - 218 = 152, -3*d = -4*h - 222. Suppose -104 = -2*y - d. Calculate the remainder when 54 is divided by y.
9
Let b = 266 - 239. Suppose 5*j - j = 12, -190 = -2*i - 4*j. Calculate the remainder when i is divided by b.
8
Suppose -3*g = p - 773, -20*p + 2324 = -17*p + 4*g. What is the remainder when p is divided by 65?
61
Let i(m) be the second derivative of m**5/10 - m**4/2 - m**3/6 + 7*m**2/2 - 48*m. Let z = -25 - -29. What is the remainder when i(z) is divided by 6?
5
Let j be (-2)/10 + (1004/(-5))/(-4). Suppose 0 = -3*y - j + 41. Let o(x) = -8*x + 1. Calculate the remainder when o(y) is divided by 10.
5
What is the remainder when 2 - (18590/(-40) + -4) - 5/(-4) is divided by 164?
144
Suppose -74 - 6 = -10*t. Let l be 15 - 1 - (-4)/t*-4. Let k(d) = -d**3 + 11*d**2 + 18*d - 17. Calculate the remainder when k(l) is divided by 19.
17
Suppose 117*w = -0*w - w + 8968. What is the remainder when 910 is divided by w?
74
Suppose 25*d - 28*d + 5*m = 18, -2*m = -3*d + 9. Suppose 99 = 3*t - 0*t. Calculate the remainder when t is divided by d.
6
Suppose -3*n - 40 = -16. Let s be n/2*(-28)/8. Suppose -59 = -3*g + 4*o + s, 5*g + o - 160 = 0. What is the remainder when g is divided by 14?
3
Let p(c) = -517*c - 8218. What is the remainder when 6369 is divided by p(-16)?
51
Suppose 133 = 5*y - x, 2*y + 104 = 6*y - 2*x. Suppose 4902 = 15*g - 123. Suppose -19 = -4*z - 7, 5*z = -4*v + g. What is the remainder when v is divided by y?
26
Let n be ((-78)/52)/((-4)/536). Let g = n - -51. What is the remainder when g is divided by 23?
22
Calculate the remainder when 927 is divided by -3 - -257 - 2 - 8 - 1.
198
Let r = 34 + -34. Suppose 4*q + 4*q - 104 = r. Suppose -27 = -2*g + q. Calculate the remainder when 58 is divided by g.
18
Let s be ((-18)/(-12))/((-6)/(-20)). Suppose -s*w + 126 + 234 = 0. What is the remainder when w is divided by (-1 + -6)*(1972/119 + -22)?
34
Let j = 1499 + -1402. What is the remainder when 230 is divided by j?
36
Let n(i) = 0 - 60*i**3 - 12*i**3 + 0. Let o be n(1). Calculate the remainder when 112 is divided by (o - (3 - -1))/(-2).
36
Suppose -3*s + 112 + 11 = 0. Suppose -204 = -5*d - 3*l + s, d - 31 = 3*l. Calculate the remainder when d is divided by 7.
4
Suppose 0*z + 2*c = 3*z - 34, 3*z = -2*c + 14. Let n(d) = -17*d - 165. Let k be (110/77)/(-1*1/7). Calculate the remainder when z is divided by n(k).
3
Let q be (5/(-10))/((-1 + 5)/232). Suppose -g + 70 = g. Let f = g + q. What is the remainder when 27 is divided by f?
3
Let x be (-6)/(-24) - (-4)/(-16)*1. Suppose x*f + 5*m = 4*f - 7, 25 = 5*m. What is the remainder when 10 is divided by f?
2
Let p(f) = -4*f**2 - 47*f + 22. Calculate the remainder when (69/9)/(5*3/855) is divided by p(-12).
7
Suppose 2*u = g - 22, -5*g - 2105*u + 92 = -2109*u. Let h(z) = -6*z**2 + z + 1. Let v 