der when (201/(-2))/3*-2 is divided by p.
16
Let b(m) be the first derivative of 3*m**4/4 - 2*m**3/3 - m**2 + 5. Suppose -7*k + 5*k = -14. What is the remainder when b(2) is divided by k?
5
Let i(p) = p**3 - 3*p**2 - 5*p - 1. Let x be i(5). What is the remainder when 147 is divided by (-1)/(8/x - 12/34)?
45
Suppose 3*o - 36 = -3*i, -4*o + 84 = -i - 4*i. Calculate the remainder when 75 is divided by o.
11
Suppose 0*s = -5*s + 55. Suppose 9*c - s - 439 = 0. What is the remainder when c is divided by 18?
14
Suppose 165 = -2*h + f, 0 = -h - h + 4*f - 162. Let w = -64 - h. What is the remainder when 110 is divided by w?
15
Suppose 0*h - 4 = d + 4*h, 3*h + 33 = 3*d. Let w(a) = -a**2 + 24*a + 2398. What is the remainder when w(62) is divided by d?
2
Let f be (-2 + -3)*51/(-15). Suppose 4*u - f = 115. What is the remainder when u is divided by 11 - 4 - (1 + -3)?
6
Let i(m) be the first derivative of 17*m**4/4 + m - 3. Suppose -4*s + 1 = 3*c, -3*c = 2*s - 0*s + 1. Calculate the remainder when 89 is divided by i(s).
17
Suppose 4*x = 191 + 69. Suppose -2*i + 5*o = -x, -i + 230 = 4*i + o. What is the remainder when i is divided by 14?
3
Suppose -3*g + s + 178 = 0, 2*s - 4*s + 282 = 5*g. What is the remainder when g is divided by 17?
7
Calculate the remainder when 303 is divided by 66/4*(-24)/(-9).
39
Let z(d) = d**3 + 8*d**2 + 6*d - 5. Suppose 0 = -j - 0*j + 5. Let x(a) = a**2 - 3*a + 7. Calculate the remainder when z(-6) is divided by x(j).
14
Let y(w) = -w**3 + 14*w**2 + 2*w - 25. Suppose 0 = -3*h + 5*o + 52, -4*h + h - o + 40 = 0. What is the remainder when 17 is divided by y(h)?
2
Let r = 7 + -9. Let i(x) = -5*x - 2. Let m be i(r). Let s = m - 5. Calculate the remainder when 11 is divided by s.
2
Suppose -4*z + 110 + 26 = 0. Suppose 19 - z = -5*g. Calculate the remainder when 3 is divided by g.
0
Let u(b) = -b + 3. Calculate the remainder when 134 is divided by u(-31).
32
Suppose -2*c = 4*b - 5*c - 14, -22 = -4*b - c. Suppose 0 = -b*d + x + 133, -d - 93 = -4*d + 5*x. What is the remainder when d is divided by 15?
11
Let w be ((-3)/5 - 0)/((-47)/235). Suppose w*x = 80 + 166. What is the remainder when x is divided by 250/9 + (-4)/(-18)?
26
Let i = -11 + 13. Let u = -44 + 70. Calculate the remainder when u is divided by (84/(-18))/(i/(-6)).
12
Let l(r) = 7*r - 103. What is the remainder when l(18) is divided by 5?
3
Suppose 0 = -5*a - 30 + 135. Let k be (9/(-2))/(a/(-28)). Let i(q) = -q**3 + 9*q**2 - 9*q + 2. Calculate the remainder when i(k) is divided by 29.
27
Let h = -174 + 271. What is the remainder when h is divided by 13?
6
Calculate the remainder when 51 is divided by (-6084)/(-138) + 4/(-46).
7
Let b = 10 + -9. Let d be 1 + (b - 0) + 2. Suppose 29 = -5*j + d*s + 74, 2*s = 3*j - 25. Calculate the remainder when 9 is divided by j.
4
Suppose 0 - 9 = -3*a. Let d = 8 + -1. What is the remainder when d is divided by a?
1
Suppose -x = 2*d - 14, 2*x - 12*d - 60 = -8*d. What is the remainder when 48 is divided by x?
4
Suppose 3*w - 10 = n - w, 3*w + 38 = -n. Let h be (n/(-8))/((-4)/16). Let g = -11 - h. Calculate the remainder when 7 is divided by g.
1
Let h(a) = a**2 + 23*a - 20. What is the remainder when h(9) is divided by 54?
52
Suppose 460*p - 7416 = 388*p. Suppose z - 5*j = -4*z + 105, -2*j = 0. Calculate the remainder when p is divided by z.
19
Suppose -478*j + 511*j - 198 - 858 = 0. Let x = 11 + 0. What is the remainder when j is divided by x?
10
Suppose 4*r - r = 45. Calculate the remainder when 250 is divided by r.
10
Let y(j) be the second derivative of j**3/3 + 9*j**2/2 + 4*j. What is the remainder when (-36)/126 + (-205)/(-7) is divided by y(3)?
14
Suppose -3*p + 343 = 82. Suppose 3*w + 86 = 152. Calculate the remainder when p is divided by w.
21
Let o(m) = -30*m - 24. Let k be o(-8). Suppose -4*x = -4*c + 216, -4*c + x = -x - k. Calculate the remainder when c is divided by 11.
10
Let i(r) = r**2 + 16*r + 58. What is the remainder when i(-14) is divided by 18?
12
Let d(q) = 6*q**2 - 1 - 3 + 5 - 2. What is the remainder when 14 is divided by d(1)?
4
Let w = 444 + -358. Calculate the remainder when w is divided by 46.
40
Suppose -503 = -3*z - u, 0*z = 2*z + 4*u - 342. What is the remainder when z is divided by -6*2/3 + 38?
31
Let k(d) = d**2 + 6*d + 4. Let j be k(-6). Calculate the remainder when (44/(-6))/(j/(-18)) is divided by (4 - 28)*(-1)/2.
9
Suppose -375 = -2*w - 5*l, -4*w + 4*l = -0*w - 708. Suppose 3*i = -9*i + w. What is the remainder when 87 is divided by i?
12
Let r(x) = -x + 9. Let j = 11 + 29. Suppose 6*n = n - j. What is the remainder when 33 is divided by r(n)?
16
Let g = 16 + -16. Suppose -j + 3*z - 6 = g, -3*j - 5*z = 14 + 74. Let w = j + 35. What is the remainder when 26 is divided by w?
12
Suppose 5*p + x = 1266, -p - 4*x + 54 = -184. Calculate the remainder when p is divided by 34.
16
Let f = 143 + 59. What is the remainder when f is divided by (-1 - -4) + -2 - 396/(-36)?
10
Let h(f) = f + 46. Let j(m) = m**3 - 24*m**2 + 25*m - 34. Calculate the remainder when h(0) is divided by j(23).
10
Let w(u) = 11*u**3 + 2*u**2 - 2*u + 1. What is the remainder when (11 - 385/33)/(2/(-204)) is divided by w(1)?
8
Suppose -2*i + 12 = -6. Suppose j = i - 0. Let s(z) = 2*z - 1. What is the remainder when j is divided by s(3)?
4
Let s = 427 + 285. Suppose -7*p + s = p. What is the remainder when p is divided by 45?
44
Suppose 0 = 2*y + 2*f - 88, 4*f = 3*y - 0*y - 146. What is the remainder when y is divided by 26?
20
Let z = -305 - -310. Suppose -5*o + 42 = -68. Suppose 34 + o = 4*d. What is the remainder when d is divided by z?
4
Suppose 0 = 14*t - 11*t + 30. Let w(x) = x**2 + 10*x + 6. Calculate the remainder when 22 is divided by w(t).
4
Let f = 16 - 0. Calculate the remainder when 22 is divided by f.
6
Suppose 4*p + 13 = 1, -7 = -d + p. Calculate the remainder when 27 is divided by (-16)/(-3) - (-1)/(6/d).
3
Suppose 8*m - 12*m = -484. Let g = m - 88. What is the remainder when g is divided by 12?
9
Suppose 2*z - 20 = -3*z. Let i(f) = -f**3 + 4*f**2 + 5*f + 3. What is the remainder when 45 is divided by i(z)?
22
Let z = 42 + -39. Suppose z*j - 4 = -22. Let q = j - -59. Calculate the remainder when q is divided by 19.
15
Suppose -4*a + 0*a - 40 = 0. Let v = a + 16. Calculate the remainder when 16 is divided by v.
4
Let d = -5 + 9. Let j(r) = 0*r**3 + 5*r**2 + d*r**3 - 3*r - 2*r**2 + 2 - 2*r**2. What is the remainder when j(2) is divided by 11?
10
Let u be (-10)/(-50) - (-9)/5. Suppose 0 = u*t - 7*t. Suppose t = -4*d - c + 25, 0 = -3*d - d - 2*c + 26. What is the remainder when 14 is divided by d?
2
Suppose 5*t + 3*w - 923 = 0, 9*t = 4*t - 2*w + 922. Calculate the remainder when t is divided by 42.
16
Let l(g) = -g**3 + 5*g**2 + 7*g - 2. Let v be l(6). Suppose 0*q = v*q. Let a = q - -5. What is the remainder when 9 is divided by a?
4
Suppose 4*r - 4 = t + 3*t, 9 = 3*r. What is the remainder when -3 - (t + -38) - -1 is divided by 12?
10
Suppose -36*v - 740 = -56*v. Calculate the remainder when 132 is divided by v.
21
Let m = -51 - -32. What is the remainder when 55 is divided by (m/(-4))/(2/8)?
17
Let q(g) = 10 - g**3 + 9*g - 9*g**2 - g - 28. Let f be q(-10). Suppose 5*i - f*i = 78. Calculate the remainder when 102 is divided by i.
24
Let p = -1365 + 1395. Calculate the remainder when 113 is divided by p.
23
Let p(a) = a. Let s be p(4). Suppose -s*d - d + 30 = 0. Suppose 3*b - 107 = -4*u + d*b, -5*b + 90 = 5*u. What is the remainder when 68 is divided by u?
22
Let y(n) = n + 16. Let v be y(-22). Let a = v + 35. Calculate the remainder when a is divided by 11.
7
Suppose 2*y - 7*p - 102 = -3*p, 0 = 2*y + 5*p - 120. Suppose x - y = c, 2*c = 3*c. What is the remainder when 272 is divided by x?
52
Suppose i - 24 = -7. Calculate the remainder when 66/((12 + -11)*2) is divided by i.
16
Let v be 0 - (-4)/4 - -1. Suppose 0 = 2*c + v*d - 64, 7 = c - d - 25. What is the remainder when 61 is divided by c?
29
Let j(v) = -7 + 3*v**2 - v**2 - 3*v**2 - 6*v - 8*v. Let c be j(-9). Suppose 4*u - c = 2*u. Calculate the remainder when 74 is divided by u.
17
What is the remainder when (-65 + 2)*13/((-117)/30) is divided by 24?
18
Let i(l) = -l**3 + 15*l**2 + 4*l - 32. Calculate the remainder when i(6) is divided by 54.
46
Suppose 4*p - 3*x = 1741, 2*p + 32