 Let f(d) = d**2 - d + 1. Calculate the remainder when v is divided by f(2).
1
Let v be (0 - 0)*(-4)/12. Suppose 3*h - 13 - 41 = v. What is the remainder when 1/(2 + (-69)/35) is divided by h?
17
Let t(h) = -11*h**3 + h + 1. Let b = 22 - 8. Suppose -b = g - 57. What is the remainder when g is divided by t(-1)?
10
Let f = 18 + -13. Let i(c) = c**3 + 6*c**2 + 4*c - 3. Let l be i(-4). Let p = l + 0. What is the remainder when p is divided by f?
3
Suppose 0*i = -i + 2. Let r be (-25)/i - 2/(-4). Calculate the remainder when 20 is divided by (-2 - r) + (3 - 2).
9
Let x(m) be the second derivative of 5*m**4/12 - m**3/6 - m**2 + m. What is the remainder when x(2) is divided by 6?
4
Suppose 0 = -4*h + 29 + 7. What is the remainder when 33 is divided by h?
6
Let l = 5 + 123. Calculate the remainder when l is divided by 26.
24
Suppose -5*j + 36 = -3*p, p + 2 = -0*p. Calculate the remainder when j is divided by 2.
0
Let f be ((-10)/(-6))/((-1)/(-15)). Suppose 2 = 3*y - f. What is the remainder when (15/(-9))/((-7)/105) is divided by y?
7
Let d(h) = 93*h. Let j be d(1). Suppose -3*x - b + 86 = 0, 5*x - 227 + j = 3*b. What is the remainder when x is divided by 10?
8
Suppose -w - 4*w + 100 = 0. What is the remainder when w is divided by 6?
2
Suppose 3*c - 19 = -169. Calculate the remainder when c/4*-2 - 0 is divided by 13.
12
Suppose -3*r - 2*r = 20. Let a(q) = 2*q**2 - 3*q + 2. Suppose 7*o - 32 = 80. Calculate the remainder when a(r) is divided by o.
14
Suppose 1 = -s, w - 3*s - 173 = 6*w. Let l(g) = -4*g**3 - g - 1. Let t be l(-1). What is the remainder when 50 is divided by (w/(-6))/(t/12)?
16
Let y be (-3)/12 + 42/8. Suppose -4*k = y*b - 22, -b - 40 = -6*b + 5*k. Calculate the remainder when 22 is divided by b.
4
Suppose -2*l - 34 = -3*g - 7*l, 3*g + 3*l = 36. Calculate the remainder when g is divided by 4.
1
Suppose 5*u - 1 = 4. Suppose -5*t + u = -44. Calculate the remainder when (-1)/3 + 158/6 is divided by t.
8
Suppose 0 = -n + 2*t + 18, -n + 4*t + 13 = -5. What is the remainder when 34 is divided by n?
16
Let d = 51 + -32. Calculate the remainder when 151 is divided by d.
18
Let m(t) = t + 8. What is the remainder when m(4) is divided by 7?
5
Let c = 65 + -40. Suppose 5*s - 3*l - 102 = 0, 3*l - l = -3*s + 46. Let f = c - s. Calculate the remainder when 20 is divided by f.
6
Let n = 3 - 2. Let u = 2 - -1. Calculate the remainder when 1/(n/(-14)*-2) is divided by u.
1
Suppose p - 5*r - 14 = 0, 0 = 4*p - 3*r + 8 - 30. What is the remainder when 25 is divided by p?
1
Let o(f) = f**3 + 12*f**2 + f + 23. What is the remainder when 40 is divided by o(-12)?
7
Suppose 4*g - 14 = 5*m, -4*g = 5*m - 0*g + 6. What is the remainder when 174/3 + (m - -1) is divided by 15?
12
Let q(k) = 7*k - 1. What is the remainder when 15/2*(-40)/(-6) is divided by q(2)?
11
Suppose 0 = 4*l - 18 - 26. What is the remainder when (-2)/(-3) + (-364)/(-12) is divided by l?
9
Suppose 10 = 2*z + 3*n, 34 = 3*z + n - 6*n. Let x(s) = 10 + 5*s**3 - 4*s**3 + 4*s - 5 + 5*s**2. What is the remainder when z is divided by x(-4)?
3
Let m = 19 + -11. Calculate the remainder when 30 is divided by m.
6
Suppose 15 = -2*y + 5*y. Suppose -4*m + 14 = -y*s, -3*m + 0*m + 13 = -5*s. Calculate the remainder when 1 is divided by m.
0
Let q be (6/4)/(6/(-8)). Calculate the remainder when (0 + (2 - 4))*q is divided by 2.
0
Suppose 0*w = 4*w - 20. Let n(x) = -4*x - 2. Let h be n(-2). Suppose h = -f + 4*f. Calculate the remainder when w is divided by f.
1
Suppose 3*l - d + 2*d = 10, 3*l = 2*d + 7. Suppose -4*n = -l*q - 25, -2*n - q = -4*q - 17. Calculate the remainder when 15 is divided by n.
3
Suppose -4*y + 179 - 43 = 0. Calculate the remainder when 96 is divided by y.
28
Let u(z) = z**2 - 8*z - 7. Calculate the remainder when u(11) is divided by 7.
5
Suppose 3 = -g, -2*g = -0*r + r + 4. What is the remainder when 6 is divided by r?
0
Suppose -4*s + 0*s = -24. What is the remainder when 9 is divided by s?
3
Suppose h - 6*h - 20 = 0. Let v be h/(-14) + 298/(-14). Let w = v - -43. What is the remainder when w is divided by 12?
10
Calculate the remainder when 6 is divided by (-20)/(-11) - 14/(-77).
0
Suppose -16*m + 18*m - 6 = 0. Calculate the remainder when 19 is divided by m.
1
Let o = -32 - -52. Calculate the remainder when 79 is divided by o.
19
Let f(y) = y**2 + 6*y + 12. Let p be f(-5). Let j(d) = 9*d - 14. Calculate the remainder when j(p) is divided by 17.
15
Let y(d) be the third derivative of d**5/60 + d**4/6 - d**3 + d**2. Let n be y(8). Suppose -4*o = -o - n. Calculate the remainder when o is divided by 16.
14
Let b(m) = m**3 - 6*m**2 + 6*m + 5. Let i be b(5). Let v = -5 + i. What is the remainder when v is divided by 4?
1
Let i(c) = c**2 + 6*c + 14. Calculate the remainder when i(-8) is divided by (2 + -3)/((-2)/22).
8
Let l(t) be the third derivative of -1/6*t**3 + 0*t - 2*t**2 + 0*t**4 + 0 + 1/4*t**5. What is the remainder when l(1) is divided by 5?
4
Calculate the remainder when (2/4)/((-4)/(-536)) is divided by 17.
16
Suppose 0 = -2*r - 0*r + 18. What is the remainder when 23 is divided by r?
5
Let t = 2 + -2. Let f = t + 1. Calculate the remainder when 2 is divided by f.
0
Suppose 3*p + 0*p + 18 = 0. Suppose 33 = 4*h - 19. Let c = p + h. Calculate the remainder when c is divided by 3.
1
Suppose 13*z = 14*z - 12. What is the remainder when 70 is divided by z?
10
Let g = -1 + 3. Suppose -g = -3*p + 5*p. Calculate the remainder when (40 - -1) + (-1 - p) is divided by 14.
13
Let p(b) = -b**3 + 22*b**2 + b. Let m = 7 + -5. Suppose -m*k + 48 = 2*k. What is the remainder when p(22) is divided by k?
10
Let n = 3 + 12. Suppose -8*u + 9*u - 9 = 0. Calculate the remainder when n is divided by u.
6
Let i(g) = -g + 3. Let a be i(0). Suppose -l + 1 = a*u, -2*u + 11 = 3*l + 1. Suppose 0*n - 8 = -4*n. What is the remainder when l is divided by n?
0
Suppose -230 = -7*u - 20. Calculate the remainder when u is divided by 8.
6
Let w(c) = c**3 - 9*c**2 - 10*c + 2. Let s be w(10). Suppose -s*i + 27 = 7. Calculate the remainder when 18 is divided by i.
8
Let c(t) = t**2 - 2*t - 6. Suppose -3*l = -18 + 3. Calculate the remainder when l is divided by c(4).
1
Let h(v) = -3*v + 3. What is the remainder when 107 is divided by h(-2)?
8
Let o = -9 - -3. Calculate the remainder when (-3)/9 + (-14)/o is divided by (-18)/(-8) + 2/(-8).
0
Let h(u) be the second derivative of -u**5/20 - u**4/6 - 2*u**2 - 2*u. Calculate the remainder when h(-3) is divided by (1 - (0 + -2)) + 1.
1
Let u(i) = 4*i + 7. Calculate the remainder when 39 is divided by u(4).
16
Let i(k) = k - 6. Let h be i(6). Suppose -5*z + n + 11 = 3, -2*z - n - 1 = 0. What is the remainder when 3 - (1 + h/(-2)) is divided by z?
0
Let x = 116 + -59. What is the remainder when x is divided by 16?
9
Suppose 3*g - 19 = 2. Calculate the remainder when 34 is divided by g.
6
Let y = 6 + 29. Let f(i) = -8*i**3 + i**2 + i + 1. Calculate the remainder when y is divided by f(-1).
8
Let u(t) = -3*t - 1. Let b be u(-1). Suppose -2*k = -0 + b. What is the remainder when 8 is divided by 1 + 1 - (k - 0)?
2
Suppose 4*s + 5*p = 49, 3*p - 4 = -1. Suppose 0 = 4*r - 91 - 33. Calculate the remainder when r is divided by s.
9
Suppose 2*f + 66 = 4*f. Let r = f - 20. What is the remainder when 36 is divided by r?
10
Let n(z) = z**3 - 5*z**2 - 6*z + 4. Suppose -2*q = -15 + 3. What is the remainder when n(q) is divided by (-26)/(-65) + 8/5?
0
Calculate the remainder when 25 is divided by (-2)/(-7) + (-89)/(-7).
12
Let k(x) = -x + 27. What is the remainder when k(0) is divided by 71/7 + (-6)/42?
7
Let q be 7*(1 - 2)*1. Let v(z) = -z - 2. Let b be v(q). Let s(l) = 2*l**2 - 2*l + 3. What is the remainder when s(b) is divided by 15?
13
Let g = 35 + -21. Calculate the remainder when 41 is divided by g.
13
Suppose 0 = 4*q + 3*c - 0*c - 339, 2*c = -3*q + 253. Calculate the remainder when q is divided by 5.
1
Let s = 44 - 11. What is the remainder when 130 is divided by s?
31
Suppose 4*w - 2 = -4*n + 58, 5*n = -w + 67. Let i(j) = 5*j**2 - 3*j + 1. Let r be i(5). Calculate the remainder when r/3*1 - 0 is divided by n.
11
Calculate the remainder when 21 is divided by (-16)/(-10)*((-68)/(-8) + 4).
1
Let y(t) = 30*t**2 - t - 1. Calculate the remainder when y(-1) is divided by 8.
6
Let n(r) = 2*r**2 -