ppose l = w + 3*w - v*a, -2*a = -w + 6. Calculate the remainder when w is divided by 5.
2
Let g(k) = k - 3. Let l be g(5). Suppose -5*i + 5 = -135. Suppose 0 = l*p - 2, 4*x - i = 5*p + 35. Calculate the remainder when x is divided by 5.
2
Let t(s) = -s**3 - 13*s**2 - 6*s - 18. Let p be t(-13). Let y = p + -51. Calculate the remainder when y is divided by 4.
1
Let n(j) = -j**2 - 6 + 16*j**3 - 2*j**2 - 18*j**3 + 5*j. Let v be n(-5). Let r = -98 + v. What is the remainder when r is divided by 12?
10
Suppose -2*b = 5*b - 3*b. What is the remainder when 13 is divided by 46/14 - (b + 6/21)?
1
Let d(p) = -p**3 + 9*p**2 + 9*p. What is the remainder when d(9) is divided by ((-6)/4)/(14/(-196))?
18
Calculate the remainder when 35 is divided by (-26013)/(-783) - ((-2)/(-9))/1.
2
Suppose -5*p + z - 5*z = -65, -z + 80 = 5*p. What is the remainder when 1852 is divided by p?
16
Let j be 2/((-1)/((-9)/6)). Let u(p) = 2*p**2 - 2. Let q be u(-4). Suppose -3*k = j - q. Calculate the remainder when k is divided by 3.
0
Suppose 5*r - 93 = 112. Let p = 0 - -5. Suppose 0 = p*u - r - 34. Calculate the remainder when 27 is divided by u.
12
Suppose -h = 5*h - 24. Suppose 2*d - h = d, 0 = q + 5*d - 92. Calculate the remainder when q is divided by 25.
22
Let i be 3 - (1 + 0)*-1. Let q = 6 - i. Calculate the remainder when (2*6/(-30))/((-4)/50) is divided by q.
1
Let m(k) = -k**3 - 12*k**2 + 3*k + 24. Let c be m(-12). Calculate the remainder when 28 is divided by 76/14 - c/21.
4
Suppose -80*x - 53*x + 3192 = 0. What is the remainder when 102 is divided by x?
6
Let b(i) = i**3 + 14*i**2 + 12*i + 1. Let r(u) = u**3 - 5*u**2 + 6*u + 9. What is the remainder when r(5) is divided by b(-13)?
11
Let c(s) = 17*s**2 + 1. Suppose 28 = -3*u + 22. What is the remainder when 2 + 1 + u + 50 is divided by c(1)?
15
Let k(x) = -x**2 + 19*x + 44. What is the remainder when 65 is divided by k(21)?
1
Let i be 2*1/(-2) - -5. Suppose i*x - 5*x = -40. Let m = -23 + x. Calculate the remainder when 48 is divided by m.
14
Suppose 2*h - 5*x - 34 = 0, 3 + 20 = h - 4*x. Suppose -3*a + h*a - 32 = 0. What is the remainder when 37 is divided by a?
5
Let i = 4 - 3. Suppose -w + 0*z - 4 = 2*z, 0 = 2*w + 5*z + 9. Calculate the remainder when -1*(w - 2/(-2)) is divided by i.
0
Let v(t) = t + 35. Let b(z) = -z**2 + 17*z - 24. What is the remainder when b(9) is divided by v(-10)?
23
Suppose 0 = j - 5*j + 12. Let h be 12/(-90) + 64/30. Suppose 0 = 2*a - j*t - h, 2 = 3*t - 10. Calculate the remainder when 19 is divided by a.
5
Let y(a) be the second derivative of a**4/6 - a**3/3 + 33*a**2 + 3*a. What is the remainder when y(0) is divided by 23?
20
Let m be (-18)/(-30) - (-1 - 456/15). Suppose -m*d + 116 = -28*d. What is the remainder when d is divided by 1 + -2 - (-17)/1?
13
Suppose 798 + 762 = 20*i. What is the remainder when i is divided by 29?
20
Let k = -122 + 176. Suppose t - k = -2*t. Let z = 47 - t. Calculate the remainder when z is divided by 15.
14
Let h(a) = a**2 - a + 1. Let g(q) = 5*q**2 - 5*q + 8. Let p(r) = -g(r) + 6*h(r). Let v be p(4). Let c = v + -1. Calculate the remainder when 26 is divided by c.
8
Let j(q) = -227*q - 6. What is the remainder when j(-1) is divided by 15?
11
Let q be (68/10)/(1/5). Suppose 0 = -q*n + 29*n + 215. What is the remainder when n is divided by 12?
7
Suppose a - 6*a + 1015 = 0. Calculate the remainder when a is divided by (6601/(-21))/(-23)*(1 + 2).
39
Suppose -4*v + 55 = -73. Let c = 46 - v. Let o(j) = 5*j + 111. What is the remainder when c is divided by o(-21)?
2
Suppose 0 = -5*i - 3*z + 54, -2*i - 5*z + 4 + 10 = 0. Suppose 0*t + 4*t + 3*p - 140 = 0, 105 = 3*t - 4*p. Calculate the remainder when t is divided by i.
11
Let j = -829 - -1239. Calculate the remainder when j is divided by 60.
50
Let z = 780 - 537. Calculate the remainder when z is divided by 25.
18
Let j = -373 + 487. Calculate the remainder when 1367 is divided by j.
113
Let o(p) = p**3 - 5*p**2 + p - 2. Let q be o(5). Suppose -q*k = -0*k - 9. Suppose 4*l - 59 = b, k*b = 2*b - 3. What is the remainder when 55 is divided by l?
13
Let j(h) = h**3 - 6*h**2 - 5*h - 8. Let i = 65 - 39. Suppose -y = -4*y + u + i, 5*y - 25 = -2*u. Calculate the remainder when 11 is divided by j(y).
5
Let w(i) = -4*i - 2*i**3 - 2*i**2 + i**2 + 3*i - 1 + 2. Let s be w(-1). What is the remainder when 0 + s + 35 + 5 is divided by 11?
10
Suppose 4*n - 4*g + 2*g = 170, 5*n = 2*g + 212. Suppose 3*h - 42 = -3*z, 2*h + 5*z - n = -11. What is the remainder when 24 is divided by h?
11
Let v = -670 - -678. Calculate the remainder when 172 is divided by v.
4
Let a be (-14)/91 + 2/13. Suppose a = -4*m - m + 120. What is the remainder when m is divided by 7?
3
Let d = -22 - -28. Let a be (1/1)/(2/(-6)). Let k = 6 + a. Calculate the remainder when d is divided by k.
0
Let y(w) = w**3 - 8*w**2 + 8*w + 2. Let u = -13 + 18. Let c be (14/u)/((-4)/(-10)). Calculate the remainder when y(c) is divided by 3.
0
Let o(c) = c - 9. Let d be o(13). Suppose 3 = -d*h - 25. Let i(f) = 2*f**2 + 7*f - 3. What is the remainder when i(h) is divided by 16?
14
Let j = -60 - -93. Let r = 47 - 38. What is the remainder when j is divided by r?
6
Suppose r = -3*q + 191, -5*q = -10*q - 3*r + 325. What is the remainder when q is divided by 9?
8
Suppose -4*f = -0*f - 92. Suppose 0 = f*c - 20*c - 72. What is the remainder when 95 is divided by c?
23
Let c(i) = -5*i - 45. Let l = -38 - -24. Calculate the remainder when c(l) is divided by 18.
7
Let i = 18 - 7. Let s(z) = -9*z - 7*z + 4 + z**2 + 3*z. What is the remainder when i is divided by s(13)?
3
Let c(d) = -d + 9. Let p = -10 - -18. Let k = -5 - -7. What is the remainder when k is divided by c(p)?
0
Calculate the remainder when 4 + 21/(-7) + 214 is divided by 56.
47
Suppose 4*q - 268 = -5*x, -158 = -3*x + 32*q - 33*q. Suppose -2*m + 2*v + 32 = 0, 0 = 3*m + 4*v + 14 - 76. What is the remainder when x is divided by m?
16
Suppose 2*n = -4*n - 294. Let h = n - -55. What is the remainder when 11 is divided by h?
5
Let p = -1660 - -1683. What is the remainder when 6759 is divided by p?
20
Let n = -75 + 90. Suppose -n*y = -9*y - 540. What is the remainder when y is divided by 13?
12
Suppose -5*i = -3*s + 314, 0*i - 106 = -s + 2*i. What is the remainder when 389 is divided by s?
95
Let j(g) = 20*g + 5. Let z be j(-4). Let c = -23 - -25. What is the remainder when 7 is divided by ((-45)/z)/(c/10)?
1
Suppose -2*m - 4*d = -3*d - 25, d - 1 = 0. What is the remainder when m is divided by 8?
4
Let t(a) = -2 + 1 + 7*a - 5*a. Let d(x) = -x**2 - 8*x + 11. What is the remainder when t(3) is divided by d(-9)?
1
Let a(x) = -x**3 - 17*x**2 + 37*x + 14. Calculate the remainder when 126 is divided by a(-19).
27
Suppose -114*v = -106*v - 704. What is the remainder when v is divided by 74?
14
Let s(d) = 53*d**2 - 7*d + 5. Let v be s(4). Suppose -3*g = 2*g - v. Let z = g + -94. Calculate the remainder when z is divided by 18.
17
Let s(d) = d**3 + 17*d**2 + 49*d - 26. What is the remainder when 179 is divided by s(-13)?
10
Let u(v) be the first derivative of -v**4/4 + v**3 - 3*v**2/2 + 10*v + 8. Let a be u(4). Calculate the remainder when 47 is divided by (24/(-5))/(a/45).
11
Let b(q) = 22*q + 3. Let u be b(1). Let n = u - 14. What is the remainder when 54 is divided by n?
10
Suppose 0 = -4*a + a + 24. Let g = 29 - 27. What is the remainder when 608/24*3/g + -1 is divided by a?
5
Let m(q) = q**2 + 7*q + 7. Suppose 22 - 20 = 2*s. What is the remainder when m(-6) is divided by (s - 3)*(-2)/(-1 + 5)?
0
Let a = 17 - 20. Calculate the remainder when 12 is divided by (4/a*6)/(-2).
0
Let b(v) be the second derivative of -v**5/20 - v**4/6 + 5*v**3/6 - 3*v**2/2 + 9*v. Let l = 1 + 24. Calculate the remainder when l is divided by b(-4).
7
Suppose -52 + 340 = 4*c. Calculate the remainder when ((-5)/2)/((-12)/c) is divided by 8.
7
Let s(k) = 24*k**2 + 5*k + 1. Let w be s(-2). Let j = 149 - w. Calculate the remainder when j is divided by 21.
20
Suppose -20*p + 1349 = -16211. What is the remainder when p is divided by 88?
86
Let t be (4/(-1))/(2*-1). Let p(f) = -7 - 4*f**2 + f**t + 4*f**2 + 7*f. Calculate the remainder when 3 is divided by p(-8).
0
Suppose 6*u - 3*u = 93. Calculate the remainder when u is divided by (17 + 1)/(3*(-3)/(-6)).
7
Suppose -179