i(z) be the second derivative of -z**3/6 - 2*z**2 - z. What is the remainder when 14 is divided by i(j)?
2
Suppose -13*c + 147 = -6*c. What is the remainder when 34 is divided by c?
13
Suppose 4*r = 3*p - 134, -5*p + 9*p = 5*r + 180. Calculate the remainder when 97 is divided by p.
47
Suppose -4*x + 652 = 4*m, 4*x - m - 85 = 572. What is the remainder when x is divided by 14?
10
Suppose 0 = 3*c + 27 + 54. Let f = -17 - c. Calculate the remainder when f is divided by 9.
1
Suppose 4*p = 0, 3*r - p + 7 = 22. Calculate the remainder when 202 is divided by r.
2
Suppose 2*i - 32 = -2*l, -5*i + 0 = 10. Calculate the remainder when 54 is divided by l.
0
Suppose -2*a + a + 1 = 0. Let p = 5 + a. Suppose 0 = -i - 1 + p. What is the remainder when 19 is divided by i?
4
Let g(w) = -1 + 9*w - 5 - 14*w - 2*w. Suppose 2*o = 2*x - 14, 0 = -5*o + o - 4. What is the remainder when g(-3) is divided by x?
3
Suppose 25 = 126*s - 121*s. Calculate the remainder when 143 is divided by s.
3
Suppose 0 = 114*w - 125*w + 319. Calculate the remainder when 57 is divided by w.
28
Let t = -289 - -304. Let w = -45 + 83. Calculate the remainder when w is divided by t.
8
Let c be (3/(-6))/(2/(-164)). Suppose -38*l - 9 = -c*l. Calculate the remainder when 15 is divided by l.
0
Suppose -4*v - 2*r = -74, 4*v + 2*r = 5*r + 99. What is the remainder when 76 is divided by v?
13
Suppose -42 = -f + 3*f. Let z = f - -54. Suppose j + 2*j = 36. What is the remainder when z is divided by j?
9
Let p = 294 + 15. Calculate the remainder when p is divided by 31.
30
Suppose a = -m - 2*a + 6, 2 = 5*m + a. Let n = m + 60. Calculate the remainder when n is divided by 9.
6
Let o(m) = 2*m**2 + 3*m - 101. What is the remainder when 197 is divided by o(9)?
21
Let j(x) = x**2 - 5*x + 3. Let r = 32 - 72. What is the remainder when (4/(-3))/(r/90) is divided by j(5)?
0
Let b(o) = 38*o - 625. Calculate the remainder when b(30) is divided by 86.
85
Suppose w - 6*w = 0. Suppose -c = 2*f + 3*f + 166, w = 2*f - 4*c + 62. Calculate the remainder when 33 is divided by 4/(-22) + (-303)/f.
6
Let s(d) = 8*d - 27. Calculate the remainder when 112 is divided by s(11).
51
Let u(c) = -c**3 + 7*c**2 + 9*c - 1. Let q be u(8). Let t = 13 - q. Calculate the remainder when 45/2*(-5 + 85/15) is divided by t.
3
Let a = -143 + 174. What is the remainder when a is divided by 6?
1
Let y = 1647 + -1575. Calculate the remainder when y is divided by 2 - 13/(-1 + 0).
12
Suppose -x - 196 + 379 = q, -4*x = -3*q + 563. What is the remainder when q is divided by 34?
15
Let c(j) = -7*j + 297. Calculate the remainder when c(-21) is divided by 75.
69
Let x(h) = h**2 + 6*h - 1. Let y be x(-6). Calculate the remainder when 53 is divided by 27 + y + 25/25.
26
Let f = 202 - 117. What is the remainder when f is divided by 30?
25
What is the remainder when 43 is divided by (-2 + 94/8)/(27/72)?
17
Let d(k) = 5*k**2 - 1 - 7*k**2 + 4*k**2 + 22*k**3 + 0. What is the remainder when 91 is divided by d(1)?
22
Let g = -546 + 868. Calculate the remainder when g is divided by 65.
62
Let w be (-12)/15*(-10)/4. Suppose -7*l = -w*l - 160. Suppose -3*i + 43 = 2*b, 3*i - 2*b - 3*b - 71 = 0. Calculate the remainder when l is divided by i.
15
Let i = -19 - -33. Suppose -3*b + 13 = -i. What is the remainder when 35 is divided by b?
8
Suppose 0 = -20*y + 684 + 276. Suppose 4*i + i - 10 = 0. Suppose 0 = -i*r + r + 17. What is the remainder when y is divided by r?
14
Let r = -26 - -97. Suppose -7 = -f + 8. What is the remainder when r is divided by f?
11
Suppose -424 - 35 = -17*u. Calculate the remainder when 185 is divided by u.
23
Suppose 5*i + 2*x - 13 = 27, 4*i - 60 = 4*x. Calculate the remainder when 45 is divided by i.
5
Suppose -4*c + 217 = d, 0 = 2*c + 4*d - 137 + 11. What is the remainder when 156 is divided by c?
50
Let t = -517 - -528. Let o = 108 + -70. What is the remainder when o is divided by t?
5
Suppose -5*y - 3 - 5 = -t, -3*t - 12 = 3*y. What is the remainder when t*(-1)/8 - 494/(-8) is divided by 7?
6
Let b = -56 - -53. Let g(p) = -p. Calculate the remainder when ((-52)/b)/(4/6) is divided by g(-4).
2
What is the remainder when 43*(-1 + 2 - 0) is divided by 4/24 + 3293/222?
13
Suppose 3*d - 3*m = 33, -4*m - 12 = -2*d + 8. Suppose -j + 2*j = 2. Suppose -j*r - 3*r = -115. What is the remainder when r is divided by d?
11
Suppose -2*t + 5*c + 354 = 0, 3*t = c + c + 542. What is the remainder when t is divided by 45?
2
Let j(n) = n**2 + 6*n - 7. Let c be j(-7). Suppose 3*r - r - 12 = c. What is the remainder when 29 is divided by (0 + 34)/(r + -4)?
12
Let r = 1371 + -1288. Calculate the remainder when r is divided by 20.
3
Suppose -25*u + 47634 - 4484 = 0. Calculate the remainder when u is divided by 16.
14
Suppose 28*x - 996 = 152. What is the remainder when 141 is divided by x?
18
Suppose 272 = 2*g + 4*k, 5*g = -2*k + 674 + 30. Suppose g = 4*q + 30. Let v(c) = 9*c**2 - c. Calculate the remainder when q is divided by v(-1).
8
Let k(x) = x**3 - 130*x - 15. Calculate the remainder when k(-11) is divided by 19.
8
Let x(i) = -2*i**3 - 16*i**2 - 23*i - 61. Calculate the remainder when 85 is divided by x(-7).
1
Let c = -41 - -107. Let t = -33 + c. What is the remainder when t is divided by ((-68)/20)/((-1)/5)?
16
Suppose -4 = c + 20. Suppose -3*n = -b + 2, 5*b + 33 = -4*n + 5. Calculate the remainder when 3*(c/(-9) + n) is divided by 1.
0
Let x(j) = -3*j**2 + 12*j + 9. Let s(u) = -u**2 - u - 1. Let y(m) = 4*s(m) - x(m). What is the remainder when (-2 + 3)/((-1)/(-102)) is divided by y(-13)?
24
Let m be 1*(2 - (-111 + 2)). Suppose 7*b = 4*b - 3*l + m, -3*b = 4*l - 108. Calculate the remainder when b/6 + 8/(-12) is divided by 4.
2
Let w = -254 + 520. Calculate the remainder when w is divided by 30.
26
Let h = -732 - -783. Calculate the remainder when 253 is divided by h.
49
Suppose 577 + 363 = 10*a. What is the remainder when 185 is divided by a?
91
Suppose -3*t + 14 = 2*c, -2*c = 4*t - 11 - 1. Suppose -5*w + 212 = 37. What is the remainder when w is divided by c?
5
Let s(x) = x**3 + x**2 + x + 5. Let y(m) = 17*m**3 + 4*m**2 + 4*m + 1. Let j be y(-1). Let l = j - -33. Calculate the remainder when l is divided by s(0).
2
Let d(i) = 3*i**2 - 2*i + 6. Let c = -311 - -494. What is the remainder when c is divided by d(4)?
45
Let v(i) = 5*i**2 + 16*i + 4. Let w be v(-6). Suppose 225 = 2*m + m + 4*p, -m + w = -3*p. What is the remainder when m is divided by 16?
15
Let v be (-14)/4*(-10)/1. Suppose 2*j + v = n, n = -5*j - 19 - 72. What is the remainder when -10*(j/(-4))/(-9) is divided by 2?
1
Suppose -18*k = -15*k. Let b = 15 + k. What is the remainder when b is divided by 9?
6
Suppose -4*o - 30 = -34. What is the remainder when 1*(1*45 + 1) is divided by -1*o + ((-170)/(-10))/1?
14
Suppose 663 + 17 = 10*i. Calculate the remainder when i is divided by 24.
20
Suppose 0 = 5*o - 0*i - i + 321, -5*i = -o - 45. Let t = o - -94. What is the remainder when t is divided by 10?
9
Let i(m) = m**2 + m - 10. Let c = -36 + 64. What is the remainder when c is divided by i(-5)?
8
Suppose -2*u + 3*o = -14, 0 = o - 2*o + 2. Let l = 143 + u. Calculate the remainder when l is divided by 53.
47
Suppose -786 - 924 = -15*s. Calculate the remainder when s is divided by 39.
36
Suppose -52*v - 267 = -2035. Let s = -186 + 389. What is the remainder when s is divided by v?
33
Suppose -p + 4*p - 4*s = -233, 5*s - 311 = 4*p. Let d = -67 - p. Let a(n) = 4*n**2 - 4*n - 1. What is the remainder when a(4) is divided by d?
11
Suppose 328 = 4*x - 4*n, 5*x - 511 = -2*n - 66. Calculate the remainder when x is divided by 10.
7
Let y(k) = -4*k**2 + 72*k - 78. What is the remainder when y(16) is divided by 14?
8
Let z = 772 + -730. Suppose 0 = 4*b + 3*n - 38, n - 3*n = -b + 15. What is the remainder when z is divided by b?
9
Let u(o) = o - 3. Let j be u(6). Suppose -q - 45 = -3*c, j*q = -q - 12. What is the remainder when 38 is divided by c?
10
Let z(p) = -2*p - 1. Let k be z(-2). Suppose 4*a = -4*f + 98 + 66, 111 = k*a - f. Let w = 16 - 3. Calculate the remainder when a is divided by w.
12
Let l(r) = -3*r + 6. Let i be l(-8). Suppose 0 = -4*a + 138 - i. Calculate the remainder when a is divided by 6.
3
Suppose -3*p = -4*t + 2, -4 = 3*t - p - 4*p. Suppose n - t*n = -55. Calculate the remainder when 1