 d = -6 + i. Calculate the remainder when a(0) is divided by d.
3
Let m(r) = -3*r**2 + 10*r - 1. Let f(x) = -2*x**2 + 9*x - 1. Let y(d) = 4*f(d) - 3*m(d). What is the remainder when y(-9) is divided by 7?
5
Let x(b) be the first derivative of 16*b**2 - 2. Suppose 0 = -o - 4*a - 7, 9 = 3*o - a - 2*a. What is the remainder when x(o) is divided by 11?
10
Let s(t) = -t**2 + 4*t + 2. Let c be s(8). What is the remainder when c/40 + 1054/8 is divided by 33?
32
Let r(o) = o**2 + 20*o + 43. Calculate the remainder when r(-23) is divided by 23.
20
Let a = -477 + 497. Calculate the remainder when a is divided by 11.
9
Let v = -1452 - -1456. Let o(p) = p**3 - 4*p**2 + 6*p - 1. What is the remainder when o(4) is divided by v?
3
Let y(a) = 2*a + 9. What is the remainder when y(9) is divided by (-2)/((-6)/(-21)*-1)?
6
Let h(u) = u + 8. Let n be h(-4). Suppose 4*f + 28 + 169 = 3*m, 4*m + n*f - 216 = 0. What is the remainder when 174 is divided by m?
56
Suppose 5*d - 1386 = 4*r, -5*d - r + 3*r + 1388 = 0. Let u = 43 + -35. Suppose -u = 5*f - d. Calculate the remainder when f is divided by 19.
16
Let j = -61 + 103. Calculate the remainder when 162 is divided by j.
36
Suppose -29 + 26 = -y. Suppose -5*t - 10 = -k, 5*k - 12 = -2*t + 11. Calculate the remainder when k is divided by y.
2
Let f(x) = -6*x**2 + x + 4. Let a be f(-2). Let u = a - -52. What is the remainder when 116 is divided by u?
26
Let f(x) = x**2 - 19*x - 90. Calculate the remainder when f(24) is divided by 19.
11
Let s = -51 + 90. Let z = 86 + -76. Calculate the remainder when s is divided by z.
9
Let n(q) = q**2 - 8*q + 6. Let y be n(2). What is the remainder when 254/6 - 4/y is divided by 15?
13
Suppose 5*a - 4*a - 2 = -z, -7 = -3*z - 4*a. Let r(v) = 2*v**2 - v - 4. What is the remainder when r(8) is divided by 28 - 1*(z - 3)?
26
Suppose -11*d - 105 = -16*d. What is the remainder when 103 is divided by (d - 1) + (-3)/(-3)?
19
Let g(y) = -y**3 + 4*y**2 + 2*y + 7. Suppose 3*i - 12 = -d, -3*d + 0*d + 3*i + 24 = 0. Calculate the remainder when g(4) is divided by d.
6
Suppose -3*g - 185 = -53. Let d = 47 + g. What is the remainder when 9 is divided by d?
0
Suppose 0*p + 369 = 3*p. Suppose 0 = -3*a + u + p, -5*a + 2*u + 205 = u. Suppose 14 = 5*z - a. Calculate the remainder when 20 is divided by z.
9
Suppose -36*y + 21*y + 696 = 43*y. Suppose r + 4*r = 285. Calculate the remainder when r is divided by y.
9
Let d = -29 + 29. Suppose -3*a - a - 124 = d. Let i = a - -33. Calculate the remainder when 2 is divided by i.
0
Let a = 95 - 67. What is the remainder when a is divided by 10?
8
Let f(h) = -3*h**2 - 20*h + 12. What is the remainder when 440 is divided by f(-5)?
33
Let u(w) = -w**2 + 12*w - 2. Let x be u(12). Suppose -3*d + 70 = -4*n, 4*n - 85 = -3*d + 5*n. Calculate the remainder when d is divided by (-2 - -4) + x + 16.
14
Let d(u) = u**2 + 43*u + 47. Calculate the remainder when d(-45) is divided by 35.
32
Suppose 8*s - 495 = 3*s - 3*o, 3*s + 2*o = 298. What is the remainder when 22 is divided by s/6 - (-4)/(-2)?
8
Let q(h) = h**2 + 8*h + 9. Let p be 2/3 + (-46)/6. Let i be q(p). Suppose -5*v = -i*r + 20, 3 = r - 5*v - 7. Calculate the remainder when r is divided by 3.
1
Suppose 4*n - 3000 = 2*h - 6*h, -4*n + 3*h + 3021 = 0. Calculate the remainder when n is divided by 13.
12
Suppose 26*k - 512 = 814. What is the remainder when 118 is divided by k?
16
Suppose 82 = 4*o - 2*r, -3*r = o - 7*r - 10. Suppose 0 = -18*v + 12*v + 378. What is the remainder when v is divided by o?
19
Let p(k) = 77*k**2 - 384*k - 778. Let u(l) = 20*l**3 + l**2 - 2*l + 1. Calculate the remainder when p(-2) is divided by u(1).
18
Let q be (-1 - 6/(-4))/((-3)/(-6)). Suppose -5*t - 6 = -76. What is the remainder when 4 + -6 - 38*(-1)/q is divided by t?
8
Let y(r) be the second derivative of r**4/12 + 7*r**3/6 - 4*r**2 + 4*r. Let b be y(5). Suppose -b = -5*n + n. What is the remainder when 50 is divided by n?
11
Calculate the remainder when 23 is divided by ((-10)/(-4) + -4)/(3/(-28)).
9
Let h = 111 - 70. What is the remainder when h is divided by (6/(-9))/((-24)/(-18))*-28?
13
Let h(g) = g**3 + 4*g**2 + 2*g + 1. Let t = 73 + -78. Calculate the remainder when ((-2)/t - 0) + 114/15 is divided by h(-2).
3
Let s = 621 - 560. What is the remainder when s is divided by 31?
30
Let h = 110 + -90. What is the remainder when 1*-4*49/(-2) is divided by (1 - 0) + (-3 - (-2 - h))?
18
Let j(f) = 14*f**2 - f + 2. Let a be j(-2). Suppose -10*o = -15*o - a. Calculate the remainder when 11 is divided by (-30)/o*(2 - 0).
1
Let m = 13 + -69. Let v = m + 273. What is the remainder when v is divided by 11?
8
Let s(y) = y**2 - 6*y + 7. Calculate the remainder when s(-6) is divided by 27.
25
Let h = -35 + 55. Calculate the remainder when 253 is divided by (-672)/35*h/(-6).
61
Suppose 2*y + 9*v = 4*v - 17, 4*y - 5*v - 41 = 0. Suppose 2*m - 8 = 5*q + 2, -y*m = 4*q - 76. Calculate the remainder when 58 is divided by m.
13
Suppose 5*f - 5 = -0. Suppose -5*o + 11 - f = 0. Suppose -10 = -3*d + 2*u - 0, 0 = -o*d + u + 6. Calculate the remainder when 5 is divided by d.
1
Let r = -819 - -825. Calculate the remainder when 60 is divided by r.
0
Let s = -251 - -777. What is the remainder when s is divided by 53?
49
Suppose -5*z + 23 = 73. Let n(l) = l**2 + 8*l - 19. Calculate the remainder when 1 is divided by n(z).
0
Suppose 16 + 4 = 5*y. Suppose -4*z + 64 = -y*l, -6*l = 5*z - l - 40. What is the remainder when z is divided by 2?
0
Suppose 2*j - 26 = 2. Suppose 0 = f - 2, 0*f + 4*f = 5*b - 127. Calculate the remainder when b is divided by j.
13
Let j(r) = r**3 + 3*r**2 - 1. Let p be j(-2). Suppose 57 + 12 = p*b. Let n(a) = 2*a**2 + 6. Calculate the remainder when b is divided by n(0).
5
Suppose -3*k = -4*z + k + 24, 5*z + 5*k = 30. Let b = 130 + -114. Calculate the remainder when b is divided by z.
4
What is the remainder when 813 is divided by ((-156)/(-8))/39*74/1?
36
What is the remainder when 128 is divided by 560/21 - 6/(-18)?
20
Let g(d) = -d**3 - 15*d**2 - 32*d - 57. Calculate the remainder when 47 is divided by g(-13).
5
Let k(c) = c**2 - 9*c - 3. Let z be k(10). Let t(a) = -a**2 + 7*a + 2. Let j be t(z). Suppose -3*d + 4 = -j. What is the remainder when 7 is divided by d?
1
Suppose -29 = 3*m - 92. Suppose 4*k - 18 = 6. Calculate the remainder when m is divided by k.
3
Suppose -l = 4*p - 67, -29*p = -34*p. What is the remainder when 82 is divided by l?
15
Suppose -4*g + 177 = -7. Let a = -28 + g. Calculate the remainder when a is divided by 11.
7
Suppose -4*b + 230 = 2*u, 2*u - 4*b - 4 = 186. Let n(l) = -8*l - 4. Calculate the remainder when u is divided by n(-5).
33
Suppose -4 = 4*q, -3*t - 2*q + 222 - 86 = 0. What is the remainder when t is divided by 10?
6
Let b = -1427 - -1538. Calculate the remainder when 322 is divided by b.
100
Let j(w) be the third derivative of 0 - 1/120*w**6 + 5*w**2 - 7/6*w**3 - 7/60*w**5 + 1/8*w**4 + 0*w. Calculate the remainder when j(-8) is divided by 12.
9
Let c(v) = 2*v**3 - v**2 - v - 3. Let j = 24 + -21. Let r be c(j). Suppose d = -2*d + r. Calculate the remainder when d is divided by 5.
3
Suppose -58 = -3*l - q, 41 = 5*l + 4*q - 44. Calculate the remainder when l is divided by 12.
9
Let a(j) = 4*j**2 + 43*j - 6. Calculate the remainder when a(-11) is divided by 5.
0
Let j = -4 - -8. Suppose 6*c - 5 - 13 = 0. Suppose 7*z - 53 = c*z + 5*u, 0 = j*z + u - 23. What is the remainder when 17 is divided by z?
3
Let a(k) = 6*k + 247. Suppose -2*g = 5*t - g - 165, -3*t + 91 = -g. Suppose 0 = 2*i - 0*i - t. What is the remainder when a(-36) is divided by i?
15
Suppose 0*i + 241 = u - i, -i - 2 = 0. Calculate the remainder when u is divided by 30.
29
Suppose 19 = 3*v + 4, -3*v = 3*f - 147. Calculate the remainder when 138 is divided by f.
6
Suppose 540 = 375*s - 345*s. Calculate the remainder when (-69)/(-1)*1 + 1 is divided by s.
16
Suppose -5*r + 0*r = 15, 2*d = -5*r + 75. Suppose z - 6*z = d. Calculate the remainder when ((-6)/4)/(z/6) is divided by 1.
0
Suppose -1110 + 235 = -25*g. What is the remainder when g is divided by 6?
5
Suppose -5*g + 248 = -13*g. Let l = g + 38. Suppose -5*i + 154 = 2*a, -2*i - a = -l - 54. What is the remainder when i is divided by 5?
2
Let y = -1888 + 2316. Calculate the remainder when y is d