a be (-4)/(-1 - 2/(-6)). Calculate the remainder when 13 is divided by 7 - 3/(3 - a).
5
Suppose -4*l = -l - 378. Suppose 5*i - 44 = l. Suppose m = 3*m - i. Calculate the remainder when m is divided by 6.
5
Suppose z + 2*o + 2*o - 54 = 0, o = -5*z + 308. What is the remainder when 493 is divided by z?
59
Suppose 0 = 5*f - 2*o - 53, -5*f = -2*f + 2*o - 35. What is the remainder when 54 is divided by f?
10
Suppose 0*j - 5*j = 20. Let h be 2/j*(-1 + -5). Suppose 2*p - 60 = 4*y, -h*p + 4*p - y = 27. Calculate the remainder when 46 is divided by p.
22
Let g(a) = -a**3 - 6*a**2 + 15*a + 12. What is the remainder when 34 is divided by g(-8)?
14
Let j = 250 + -146. What is the remainder when j is divided by 30?
14
Let u = 1 + 1. Let a be -10*(-1)/u*1. Suppose a*o = -0*o + 25. Calculate the remainder when 14 is divided by o.
4
Let l(y) = 15*y**2 + 5*y + 4. What is the remainder when l(-1) is divided by 4?
2
Calculate the remainder when 202 is divided by (8/(-2) - -6) + 49.
49
Suppose -a = -2 - 5. Calculate the remainder when 18 is divided by a.
4
Suppose 5 = 4*d - 7. Let n(q) = -q**3 - 6*q**2 - q + 4. What is the remainder when n(-6) is divided by d?
1
Suppose 2*i = -3*t + 8, 3*i - 2*i + t = 6. Let z = i - 5. Calculate the remainder when 13 is divided by z.
3
Let b(w) = w**3 + 5*w**2 - 2. Let v be b(-4). Let h be 1/(2/(v - 2)). Let u = 1 + h. What is the remainder when 20 is divided by u?
6
Suppose 12*t - 15*t = -21. Calculate the remainder when 27 is divided by t.
6
Let h(n) be the second derivative of -n**3/6 - n**2 + n. Suppose -4*l = -5*g - 34, -61 = -5*l + g - 4*g. What is the remainder when l is divided by h(-6)?
3
Let k(n) = -1 - 10*n**2 + 8*n**2 - n - 2*n**3 + 0*n**3. What is the remainder when 17 is divided by k(-2)?
8
Let q = 4 + 17. What is the remainder when 103 is divided by q?
19
Let o = -9 - -7. Let b = 15 + o. Calculate the remainder when 36 is divided by b.
10
Suppose 4*o - 53 = 31. What is the remainder when 58 is divided by o?
16
Suppose -w = -2*w + 1. Let l(p) = 11*p. Let m be l(w). Suppose -3*b + 41 = 5*u, b + 3*u - m - 8 = 0. What is the remainder when b is divided by 4?
3
Let y(c) = -c**3 - 6*c**2 + 2*c - 13. What is the remainder when y(-8) is divided by 25?
24
Let m = -17 - -16. Calculate the remainder when (-2)/(80/41 + -2) is divided by (2 + 0 - m) + 11.
13
Let n(x) = x**2 - 7*x - 14. Let l be n(10). Suppose -3*o - l = -7*o. Calculate the remainder when 6 is divided by o.
2
Let q(h) = 2*h. Let l = 2 - 1. Let v be q(l). Calculate the remainder when 2 is divided by ((-5)/(-2) + -2)*v.
0
Suppose 0 = 4*g, 2*u - 4*g = 3*u - 62. What is the remainder when u is divided by 21?
20
Let m(o) = 3*o**2 + 0*o**2 + 3 - 6*o - 2*o**2. Let h be m(6). Calculate the remainder when 9 is divided by 3/(h/1) - -4.
4
Let w(a) = -a**3 - 10*a**2 - 4*a - 28. Calculate the remainder when 32 is divided by w(-10).
8
Let o(w) = -w**2 + 10*w + 12. What is the remainder when 45 is divided by o(10)?
9
Suppose 4*j - 7*j = 0. Suppose 0 = -4*d - 16, j = 4*t + 4*d - 4 - 4. What is the remainder when 21 is divided by t?
3
Let c(h) = 2*h**2 - 2*h - 4. Let m be 118 - (2 - (-2 + 2)). Suppose -m + 306 = 5*x. What is the remainder when x is divided by c(-3)?
18
Let r(t) be the second derivative of t**3/6 + t**2 - t. Let o be r(0). Suppose 5*c - 30 = o*c. Calculate the remainder when 19 is divided by c.
9
Suppose -19 - 33 = -q. Calculate the remainder when q is divided by 27.
25
Let z(n) = -n**3 - 3*n**2 - 2*n + 1. Suppose -2*d + 4*c = 0, -c = 4*d - 6*c + 6. Calculate the remainder when 72 is divided by z(d).
22
Calculate the remainder when 146/6 + 10/15 is divided by 7.
4
Let f(h) = -h**2 + 9*h + 4. Let j be f(9). Suppose 0 = -4*r + u + 20, j*r + 4*u - 6 = 14. What is the remainder when r is divided by 10/4*(-4)/(-5)?
1
Calculate the remainder when 11 is divided by (2 - 0) + -1 + 6.
4
Suppose 11*i - 16*i = -110. Suppose 0 = -k - 2*n + n + i, 56 = 3*k + n. What is the remainder when k is divided by 5?
2
Suppose 5*i = i + 192. Calculate the remainder when i is divided by 25.
23
Let b = -11 + 11. Suppose 2*r = 2*q, 0 = 5*q - b*q + r - 6. What is the remainder when 1 + -1 - 2 - -5 is divided by q?
0
Let m(k) = k**2 - k - 4. Suppose n + 18 - 49 = 0. Calculate the remainder when n is divided by m(-4).
15
Let z(p) = -p**3 - 5*p**2 + 22*p + 12. Calculate the remainder when 83 is divided by z(-8).
27
Let p = -17 - -19. Calculate the remainder when 4 is divided by p.
0
Let o = 23 - 20. Calculate the remainder when 2*(o/(-1) + 34) is divided by 16.
14
Calculate the remainder when 15 is divided by 21/(-9)*-3 - 1.
3
Suppose -2*b = 3*b. Suppose -1 = 2*v - 5*c, v - 5*c + 8 + b = 0. What is the remainder when 12 is divided by v?
5
Let s(g) = g**2 + 14*g - 16. Calculate the remainder when s(-20) is divided by 12.
8
Let b = -1 + 4. Suppose -5*i - m = -0*m - 105, -4*i + 103 = -b*m. Calculate the remainder when 65 is divided by i.
21
Suppose -129 = g - 3*g - 3*u, 0 = -3*g - 5*u + 193. What is the remainder when g is divided by 14?
10
Let k = 0 - -4. Suppose 0 = 5*v - k*v - 5. Calculate the remainder when (-1)/v - (-292)/10 is divided by 10.
9
Let i(d) = 3*d**2 + 16*d + 10. Calculate the remainder when 39 is divided by i(-6).
17
Let g(x) = 7*x - 2. What is the remainder when 34 is divided by g(2)?
10
Let k = 30 + -6. Suppose -2*d + 6*d = k. Suppose 3*p - 49 = 2. Calculate the remainder when p is divided by d.
5
Suppose 6 = -0*t + 3*t. Suppose 42 = t*i - 0*i. Let x = -12 - -23. What is the remainder when i is divided by x?
10
Suppose 0 = -3*f + 2*g - 110, 0*f - 2*f + 3*g - 75 = 0. Let p = 2 + 0. Calculate the remainder when (-7)/(-2)*f/(-21) is divided by p.
0
Suppose -2*k = -0*k - 112. Let p(d) = -d**3 + d**2 - d + 19. What is the remainder when k is divided by p(0)?
18
Let x(w) = -w. Let y(j) = 3*j - 23. Let m(f) = -2*x(f) - y(f). What is the remainder when 68 is divided by m(0)?
22
Suppose 4*b + a = 23, -b - 1 = -2*b - 5*a. Calculate the remainder when 13 is divided by b.
1
Let p(a) = -3*a**3 - 5*a**2 + a - 5. Calculate the remainder when p(-4) is divided by 21.
19
Calculate the remainder when 67 is divided by (-2)/(-13) + 297/13.
21
Let h = 21 - 15. Suppose 4*j = b + 20 + 72, 0 = 5*j + 2*b - 128. Suppose 3*g + 3*c = j, -2*c - 5 = 3*g - 32. What is the remainder when g is divided by h?
5
Let k(y) = -y**2 - 5*y - 4. Let g be k(-3). Let i(w) = 3*w + 1. Let t be i(g). Let j(l) = l**2 - 6*l - 2. Calculate the remainder when 14 is divided by j(t).
4
Let y(s) = s. Let o be y(3). Suppose -2*w = -o - 25. What is the remainder when w is divided by 4?
2
Let r be 3 + -5 + 2 - 96. Suppose -d + 2*d = -136. Let x = r - d. What is the remainder when x is divided by 21?
19
Calculate the remainder when 33 is divided by (28/(-6))/7*-18.
9
Let r = 2 + 15. Calculate the remainder when (-150)/4*4/(-3) is divided by r.
16
Let v(c) = -c**3 + 11*c**2 - 15*c - 8. What is the remainder when v(9) is divided by 10?
9
Suppose 0*z = -z + 27. Suppose -2*c - 2 + 30 = 0. Calculate the remainder when z is divided by c.
13
Let i(x) = -2*x + 34. Calculate the remainder when i(-10) is divided by 11.
10
Let n = 34 + 13. Calculate the remainder when 92 is divided by n.
45
Suppose -4*q + 5*q = 70. What is the remainder when q is divided by 18?
16
Suppose h + 1 = 4*l, 32 = 2*h + 4*l - 2. Let x = 55 + -24. Calculate the remainder when (x + (1 - 1))*1 is divided by h.
9
Let v be (-138)/(-6) - (0 - 1). Suppose -v = -3*o + 33. Suppose 0*g - g = -o. What is the remainder when g is divided by 10?
9
Let h(o) = -3*o**3 + 7*o**2 - 9*o + 5. Let q(x) = 5*x**3 - 10*x**2 + 14*x - 8. Let a(p) = 8*h(p) + 5*q(p). What is the remainder when 45 is divided by a(-6)?
9
Let w(u) = 2*u**2 - 2*u - 2. Let p be w(2). Suppose -p*i - 3*g = -2*g - 53, -5*i - 4*g = -125. What is the remainder when i is divided by 8?
5
Let f(x) = -x**3 + 7*x**2 - x. Suppose 3*l - 16 - 11 = 0. Calculate the remainder when f(3) is divided by l.
6
Suppose -23*b - 9 = -22*b. Calculate the remainder when b/(-15) + 848/20 is divided by 11.
10
Let r = 2 + -1. Calculate the remainder when r/4 - (-83)/4 is divided by 1 + (0/(-2) - -10).
10
What is the remainder when 30 is divided by (-17)/(-2) + 3/(-6)?
6
Suppose 11*g + 22 = 13*g. Let l = -8 + 29. Calculate the remainder when l i