-17)/(-8) + -2). Suppose 0 = 5*b - p - 10. Calculate the remainder when 53 is divided by b.
17
What is the remainder when 13 is divided by 3/(-5) - -1 - (-18)/5?
1
Let r = -16 + 34. What is the remainder when 124 is divided by r?
16
Suppose s + 3*t = 16, -4*t = s - 3*t - 12. Calculate the remainder when 47 is divided by s.
7
Let i(k) = 2*k + 2. Let o be i(-2). Let m be o - (1 - -117) - -2. Calculate the remainder when 55 is divided by m/(-6) + (-2)/3.
17
Let i be 4 + (9/3 - 2). Suppose -i*f + f = -308. What is the remainder when f is divided by 390/40*(-8)/(-3)?
25
What is the remainder when 122 is divided by 2/3 + 546/18?
29
Let i(n) = 8*n**2 - 4*n + 2. Let w(v) = v**2 - 5*v + 2. Let k be w(5). Calculate the remainder when i(2) is divided by 9/(0 - (1 - k)).
8
Let d = -40 - -60. Suppose -t - 4*t = 4*o - d, o + 20 = 5*t. Suppose -p = -t*p + 6. What is the remainder when 2 is divided by p?
0
Calculate the remainder when 12/(-78) - (-93)/13 - -3 is divided by 6.
4
Let b(v) = v**2 + 3. Let f(z) be the first derivative of z**4/4 - z**2/2 + 2*z - 1. Let l be f(-2). What is the remainder when b(l) is divided by 7?
5
Let q(s) = s**2 + 1. Let k(z) = -z**3 - 3*z**2 - z - 4. Let y be k(-3). What is the remainder when 7 is divided by q(y)?
1
Let v = 0 + 10. Let o = 1 - -3. Suppose 2*f = 2*x, -6*f + 5*x = -2*f + o. What is the remainder when v is divided by f?
2
Suppose -6*j - 5*i = -2*j - 140, j - 5*i - 35 = 0. Calculate the remainder when j is divided by 18.
17
Let t(s) = -s**2 + 14*s + 13. What is the remainder when t(10) is divided by 18?
17
What is the remainder when (8/(-6))/(-4 - 1414/(-357)) is divided by 20?
14
Let w(t) = t**2 + 1. Let s be w(-2). Let v(u) = -u**2 + 7*u - 1. Suppose -3*p = 5*k - 118, 4*p + 0 = -16. What is the remainder when k is divided by v(s)?
8
Suppose 3*m = -2*v + 93, -3*v - m = -142 + 20. Suppose -2*h - 9 + 49 = 0. Calculate the remainder when v is divided by h.
19
Let d(y) = y**3 + y - 4. Suppose 0 = -0*x + 4*x. Let t be d(x). Let w = 6 + t. What is the remainder when w is divided by 2?
0
Let r = -4 + 11. Calculate the remainder when r is divided by 5.
2
Suppose -2*x - 5*q - 11 = 0, 5*x - 2*x = -4*q + 1. Let s be ((-200)/16)/(2/(-4)). Suppose -2*w - s = -3*w. What is the remainder when w is divided by x?
4
Suppose 39 = v + 3*g, -v - 173 = -4*v + 5*g. Suppose -10*q = -7*q - v. What is the remainder when q is divided by 9?
8
Let i(d) = -d + 2. Let f(k) = k - 2. Let z(o) = -5*f(o) - 6*i(o). Suppose 0 = -3*r - 22 + 103. What is the remainder when r is divided by z(9)?
6
Let f = 26 + -14. Let y(h) = -h**2 - 30*h + 122. Calculate the remainder when y(-33) is divided by f.
11
Suppose 3*q + 107 - 383 = 0. Calculate the remainder when q is divided by 19.
16
Suppose -4 = -3*v - 3*k + 2, v - 3*k - 2 = 0. Let p(q) = -2 + 4 + 3*q**2 - q**v. Calculate the remainder when p(2) is divided by 4.
2
Let y = 401 + -241. Let w = y - 111. Calculate the remainder when w is divided by 13.
10
Suppose -69 = -5*l - 9. What is the remainder when 45 is divided by l?
9
Suppose -3*i + 2 + 7 = 0. Calculate the remainder when i is divided by 3.
0
Let m = 43 - 17. What is the remainder when m is divided by (-2)/3 + (-87)/(-9)?
8
Suppose -5*n = -46 - 4. Let l(b) = -5*b**3 - 2. Suppose -m + s = 4*m + 15, -3*s + 25 = -5*m. Calculate the remainder when l(m) is divided by n.
8
Suppose -3*f - 2*k + 10 = -4*k, 0 = -2*f - 3*k + 11. What is the remainder when ((-4)/(-10))/((-5)/(-125)) is divided by f?
2
Let b(h) = h + 5. Let l = 2 + 0. What is the remainder when (48 - -2 - l) + -2 is divided by b(7)?
10
Let o be ((-4)/10)/(4/20). What is the remainder when 35 is divided by 1/o + 19/2?
8
Let w(q) = 4*q**2 - q - 1. Suppose -22 = m - 3*u, 4*u - 6*u + 17 = -m. Let b = m + 13. What is the remainder when b is divided by w(-1)?
2
Suppose -6*i + 0*i + 186 = 0. Let w = 7 - 4. Suppose 5*r = u - 23, -u - 1 = -w*u - 5*r. What is the remainder when i is divided by u?
7
Suppose 2*f - 90 = -3*f. Calculate the remainder when 25 is divided by 12/f*(-78)/(-4).
12
Let u(l) = l**2 - 14*l + 32. What is the remainder when u(14) is divided by 9?
5
Suppose 3*l = -2*l + 15, -39 = -3*t - 3*l. Let r(i) = 2*i**2 + 7*i - 22. What is the remainder when r(4) is divided by t?
8
Suppose -p - p = -3*y + 23, -p + 16 = y. What is the remainder when y is divided by 3?
2
Let w be (-1)/3*(-9)/1. Let u = w + 27. Calculate the remainder when u is divided by 8.
6
Suppose 4*x - 3*a = -6*a - 21, -20 = -4*a. What is the remainder when 43 is divided by x/(-15) + (-52)/(-5)?
10
Let m be 1/((15/(-6))/5). Let i be ((2 + -3)*6)/m. Suppose i = 4*a - 3*a. What is the remainder when 5 is divided by a?
2
Suppose 0 = 3*a + 2*b - 34, 0 = -b + 2. Suppose -5*f + 5*v = -140, f - v - 57 = -f. What is the remainder when f is divided by a?
9
Let l be (1*-14 - 0)/(-2). Let a(z) = -z + 12. Calculate the remainder when a(7) is divided by 12/l + 2/7.
1
Let t(l) = l**2 - 7*l + 8. Let o be t(6). Suppose -2*q + o*h = 4*h - 8, -3*q = 5*h - 8. Let n = -1 + 12. What is the remainder when n is divided by q?
5
Suppose r + 5*c = -0*r + 57, r = -2*c + 45. Let b = -14 + 27. Calculate the remainder when r is divided by b.
11
Suppose 4*s = -0*s - 2*x + 94, -3*s + 72 = x. Calculate the remainder when s is divided by 9.
7
Let u(w) = 3*w**3 + w**2 - 2*w - 2. Let o be u(-2). Let l = -9 - o. Let j(a) = -a + 21. Calculate the remainder when j(l) is divided by 7.
5
Suppose -d = 2*d - 21. Suppose w = -2*p + d*p - 19, -9 = -4*w + 3*p. What is the remainder when w is divided by 3?
0
Let z(h) = 2*h + 7. Calculate the remainder when 96 is divided by z(13).
30
Suppose 3*o = -0*o - 18. Let m(j) = j**3 + 7*j**2 + 4*j - 3. Let v(r) = 3*r**2 - 4*r - 3. Calculate the remainder when v(-2) is divided by m(o).
8
Let y = 12 - 21. Let m be (30/y)/((-4)/6). Let u = m + -2. What is the remainder when 4 is divided by u?
1
Let t = 0 - -8. Let q be 2/t - 22/(-8). Suppose 0 = -0*i + q*i - 39. Calculate the remainder when i is divided by 5.
3
Suppose -2*m + 3 = -3. What is the remainder when 5 is divided by m?
2
Let x(i) = 6*i**3 + i**2 + 2*i - 3. Let a be x(2). Suppose 5*o = -4*u + a, 2*o + 5 - 28 = -u. Calculate the remainder when o is divided by 5.
3
Let n(x) = -3 + 4*x + 3*x + x**2 - 4*x + 0*x. What is the remainder when n(-8) is divided by 13?
11
Let z(i) = -3*i + 3*i + 2*i. What is the remainder when 29 is divided by z(5)?
9
Let g(u) = 11*u - 1. Suppose 8*o = -3 + 11. Calculate the remainder when g(o) is divided by ((-3)/2)/(6/(-16)).
2
Let u(v) = -25*v**3 - v**2 - v - 1. Calculate the remainder when 71 is divided by u(-1).
23
Let w = 0 - 0. Suppose 0 = -o - w*o + 10. Suppose -4 = -p, -4*p + 7*p = 3*d - 75. Calculate the remainder when d is divided by o.
9
Let m(n) be the third derivative of -n**4/24 - 5*n**3/6 + 6*n**2. Calculate the remainder when 8 is divided by m(-10).
3
Calculate the remainder when 8 - 2*6/(-16)*4 is divided by 7.
4
Suppose 98 = -2*f - 2*u, -139 = 2*f + 3*u - 42. Let x = -10 - f. Calculate the remainder when x is divided by 14.
12
Let w(y) = 5*y**2 - 4*y - 5. What is the remainder when w(4) is divided by ((-1)/(-5))/((-2)/(-30)) + 12?
14
Let w = 789 - 774. Let i(j) = 2*j**2 + 2*j + 4. What is the remainder when i(4) is divided by w?
14
Let b(d) = d**3 + 7*d**2 + 6*d + 8. Suppose 151*v - 52 = 138*v. What is the remainder when b(-6) is divided by v?
0
Suppose -7*l = -2*l - 75. Calculate the remainder when l is divided by 4.
3
Let b = 5 - 3. What is the remainder when b is divided by (-7)/(-9) + 4/18?
0
Let c(p) = -p**2 - 7*p. Let v = -126 + 86. What is the remainder when (18/(-15))/(3/v) is divided by c(-6)?
4
Let a = -5 - -6. Let l = 4 - a. Suppose 3*d + 48 = l*s, 4*s + 0 - 64 = -4*d. What is the remainder when 31 is divided by s?
15
Suppose 12 - 5 = s. Calculate the remainder when s is divided by 3.
1
Let j be ((-2)/(-2))/(2/(-58)). Let w be (-30)/((6/(-45))/((-5)/15)). Let z = j - w. Calculate the remainder when z is divided by 16.
14
Let x(o) = 6*o**2 + o**2 - 10 - 13*o - 3*o. Let g(h) = 4*h**2 - 8*h - 5. Let p(n) = 5*g(n) - 3*x(n). What is the remainder when 32 is divided by p(6)?
15
Let q(b) = b + 10. Let g be q(-12). Let j(m) = 10*m**2 - 2*m + 1. Calculate the remainder when j(g) is divided by 23.
22
Let r = 5 - -15. Let s(b) = -b**3 