0
Let o(w) be the third derivative of w**5/20 + 11*w**3/6 - w**2. What is the remainder when 20 is divided by o(0)?
9
Suppose 0 = -6*i + 802 + 1718. Suppose 0*p - 5*p = -i. What is the remainder when p is divided by 22?
18
Let u = 33 + 1. Let r = 11 + u. What is the remainder when r is divided by 8?
5
Let o = -21 + 23. Suppose 0 = -4*d + 7*m - o*m + 857, m + 1 = 0. Suppose -191 = -3*n + 5*s + d, 3*s = -n + 130. What is the remainder when n is divided by 34?
31
Let l(y) = y. Let n(f) = -2*f - 5. Let i(w) = 4*l(w) - n(w). Let b be i(4). Let s = b - 1. Calculate the remainder when 55 is divided by s.
27
Suppose 8*z + 547 = 5*r + 7*z, -5*z = 10. What is the remainder when r is divided by 10?
9
Suppose 0 = -3*c + 7 - 1. Suppose h - 4 = -c*b + 22, 3*b - 49 = -4*h. Calculate the remainder when 14 is divided by b.
3
Let o(w) = 3*w**2 - 37*w - 22. Calculate the remainder when (13/2 + 1)*2 is divided by o(13).
3
Let u(b) = -2*b - 3. Let i(j) = 1. Let a(x) = -i(x) + u(x). Let k be a(-3). Suppose 0 = -k*o - 3*o + 85. Calculate the remainder when o is divided by 10.
7
Let s(o) = o**3 - 22*o**2 + 32*o - 181. Calculate the remainder when 98 + -1 + 1 - -1 is divided by s(21).
49
Let k(o) = -o**3 - 11*o**2 - 12*o - 14. Let g be k(-10). Suppose -g*y + 3*y = -39. What is the remainder when 24 is divided by (-2)/((-41)/y - -3)?
11
Let g = 26 + -23. Calculate the remainder when 95 is divided by g/(0 - 3/(-32)).
31
Let p = -61 + 73. Suppose -17*z = -15*z - p. Calculate the remainder when 17 is divided by z.
5
Let j = 76 - 45. What is the remainder when j is divided by 16?
15
Let o = -412 + 446. Suppose 3*i + t - 8 = 0, 3*i - t + 2 = 3*t. Suppose -4*r - v = -75, -4*r + 27 + 51 = i*v. Calculate the remainder when o is divided by r.
16
Suppose 104 = 3*f - 160. What is the remainder when f is divided by 14?
4
Let n = -1696 + 1721. Let h = -8 + 13. Calculate the remainder when n is divided by h.
0
Let j = -129 - -326. What is the remainder when j is divided by 25?
22
Suppose 86*t = -i + 82*t + 280, -4*i + 4*t + 1140 = 0. Calculate the remainder when i is divided by 72.
68
Let k = -62 - -66. What is the remainder when 6 is divided by k?
2
Suppose 5*f = 0, -5 = -t + 2*f + 2. Calculate the remainder when 11 is divided by t.
4
Suppose 2*x + 15 = 5*x. Suppose -40 = -2*u - 0*v - x*v, -16 = -2*u + v. Calculate the remainder when u is divided by 2.
0
Let q be (-4)/6 + (-280)/(-24). What is the remainder when 713/q + (-38)/(-209) is divided by 14?
9
Suppose 7*v - 3*v = 376. Calculate the remainder when v is divided by 28.
10
Suppose 5*r = -2*a - 112, 4*a + 104 = -3*r - 2*r. What is the remainder when 67 is divided by -4 - ((-12)/4 + r)?
21
Suppose 2*u - 4454 = -5*s, 3*u - 2*s + 0*s - 6662 = 0. Suppose -6*n = 16*n - u. Calculate the remainder when n is divided by 13.
10
Let c = 8 + 2. Let m = 10 - 6. Calculate the remainder when (c/1 - 3) + 3 is divided by m.
2
Let z(w) = 5*w**3 - 3*w**2 + 1. Suppose 4*y + 80 = -y. Let n = y + 26. Calculate the remainder when z(2) is divided by n.
9
Suppose 2 = -k + 3. Suppose -p + 4*p - 5*b + 7 = 0, 0 = -3*p + b + k. What is the remainder when 35 is divided by (p/(-3))/(2/(-108))?
17
Let c(k) = 8*k**2 - 3*k + 4. Let i(z) = -z**2 + z. Let b(q) = -2*c(q) - 18*i(q). What is the remainder when b(10) is divided by (-5)/(15/9) - -22?
15
Let i(u) = 14 + 2 + 9*u - 21. What is the remainder when i(2) is divided by 7?
6
Let j(l) = l - 4. Let h(t) be the third derivative of 7*t**4/12 + t**3/3 + t**2. Calculate the remainder when h(2) is divided by j(12).
6
Suppose 0 = 33*p - 2853 + 48. Let z(v) = v**2 + v + 22. What is the remainder when p is divided by z(0)?
19
Suppose 2 = q + 3. What is the remainder when 64 is divided by (-2 - q)/((-2)/34)?
13
Let g be 2/14 + 380/35. Let b = 42 + g. Suppose 0 = 2*n + 2*n + 5*z - 81, 4*z - 34 = -n. Calculate the remainder when b is divided by n.
11
Let j = 81 - 52. Suppose 27 = 8*a + 11. Suppose 70 = a*k + 5*k. What is the remainder when j is divided by k?
9
Let x = 391 - 388. Calculate the remainder when 3 is divided by x.
0
Suppose -4*a - j = 2*j - 52, 2*j - 8 = 0. Calculate the remainder when (-8)/a + (-3654)/(-105) is divided by 4.
2
Calculate the remainder when ((-134)/6)/((-4)/48) is divided by 45.
43
Let k be (0 - -22)*13/2. Let o = -73 + k. Suppose 3*d = -4*b - 0*d + 56, 5*b - o = -5*d. Calculate the remainder when 27 is divided by b.
13
Let n = 103 - 65. Let r(y) = -y + 10. Let w be r(8). Suppose 2*j - 46 = -5*s, 18 = w*s + 3*j + 4. Calculate the remainder when n is divided by s.
8
Let f(t) = -4*t - 14. Calculate the remainder when 106 is divided by f(-8).
16
Suppose -2*i = -m - 3*i + 68, -37*i = -36*i. What is the remainder when m is divided by 46/(-4)*(-4)/2?
22
Suppose -2*f + 0*n + 93 = 3*n, 0 = 2*f + n - 87. What is the remainder when f is divided by 28?
14
Let l = 18 + -6. Let a be (-18)/l*(-16)/3. Let p = a - -10. Calculate the remainder when 70 is divided by p.
16
Suppose 10*a + 105 = 13*a - 5*y, 0 = -2*a - 5*y + 120. What is the remainder when a is divided by -52*2*2/(-8)?
19
Let l(m) = -m**2 + 2*m - 3. Let p be l(2). Let q(u) = 49*u + 1. Calculate the remainder when q(1) is divided by (7 + -1)/p - -15.
11
Suppose -274 - 440 = -17*a. Let v = 0 - -8. Suppose -j + 28 = l + v, 24 = 2*l - 2*j. What is the remainder when a is divided by l?
10
Let v = -110 - -156. What is the remainder when v is divided by 17?
12
Suppose 0 = 3*l - 3*k - 24, -k = -5*l + 3*k + 43. Calculate the remainder when ((-1755)/21)/(-3) + (-8)/(-56) is divided by l.
6
Let k(d) = 6*d + 14. Let h be k(-8). Let v = -52 - h. Calculate the remainder when 5540/180 + (-4)/v is divided by 11.
9
Suppose -3 = 2*k + k, -5*k - 14 = -u. Calculate the remainder when 10 is divided by u.
1
Let u(p) = -5*p**2 + 11*p + 7. Let x(a) = 6*a**2 - 12*a - 6. Let i(r) = 5*u(r) + 4*x(r). What is the remainder when 40 is divided by i(7)?
7
Let q = 869 + -338. Calculate the remainder when q is divided by 19.
18
Let l(r) = 67*r**2 - 15*r + 1. Calculate the remainder when l(3) is divided by 40.
39
Let p(c) = 11*c - 66. Suppose 3*x - 2*x - 4 = 0. Suppose 2*g - 127 = -3*s, x*g = 2*s - g - 91. What is the remainder when s is divided by p(7)?
10
Let x = -270 - -312. Calculate the remainder when x is divided by 18.
6
Let o(w) = -w - 7. Let v be o(-9). Suppose 26 = v*c - 0*c. Let z(f) = -2*f + 33. Calculate the remainder when z(-9) is divided by c.
12
Suppose -h = -4*y - 35, 5*y + 55 + 20 = -5*h. Calculate the remainder when 13 is divided by (-1)/(-1) - (y - -6).
3
Let u = 65 + -143. Let s = u + 92. Let d = -35 - -59. What is the remainder when d is divided by s?
10
Suppose 18*k - 9*k = 369. Let n = -9 + 16. What is the remainder when k is divided by n?
6
Let r = -478 + 535. What is the remainder when r is divided by 15?
12
Let m be 4 + 1 + 3 + 0. Let a = m + 0. What is the remainder when a is divided by 3?
2
Suppose -2*z + 7*z - 25 = 0. Let c = -100 + 104. Suppose c + z = 3*g. What is the remainder when g is divided by 3?
0
Let h(b) = b**3 - 2*b**2 - 5. Let m = -3 - -7. Let y = 1495 - 1479. What is the remainder when h(m) is divided by y?
11
Let u = 9 - 5. Let k = 2 - u. Let h = k - -13. Calculate the remainder when h is divided by 3.
2
Let d(z) = 2*z**2 - 11*z + 14. Let t be d(-10). Calculate the remainder when (t/(-90))/(2/(-20)) is divided by 10.
6
Suppose -5*j + 2*h = -j - 100, 74 = 2*j + 5*h. Let f = -6 - -14. What is the remainder when j is divided by f?
3
Suppose 82 + 26 = 4*w - 3*j, 4*w + 4*j = 80. Calculate the remainder when 143 is divided by w.
23
Let j be (4 + 29)/(-1 - 20/(-15)). Let i = j - 96. What is the remainder when 47 is divided by i?
2
Calculate the remainder when 157 is divided by 6 - (-2 + (-9 - -6) + 2).
4
Let s(h) = -3*h**3 + 22*h**2 + 17*h + 9. What is the remainder when 37 is divided by s(8)?
3
Suppose 0 = 25*d - 42 - 33. What is the remainder when 19 is divided by d?
1
Let v be ((-280)/6)/(-5)*-3. Let d = v - -13. Let u = d + 36. Calculate the remainder when 81 is divided by u.
18
Suppose 0 = -n + 6. Suppose -6 = -2*b - b - 4*a, 3*b - n = 2*a. Suppose 3*m + 4*q + 3 = -b, -4*q = -3*m + 35. Calculate the remainder when m is divided by 4.
1
Suppose d + 2 = 0, -4*u + u = 3*d - 6. Suppose u*o = -4*o + 8. Suppose 2 + 1 = 3*g. Calculate the remaind