er when 5 is divided by (0 + r)/((-2)/(-4)).
1
Let m = -48 + 100. What is the remainder when m is divided by 27?
25
Suppose -5*v - p - 83 = 0, -3*v - 2 = 5*p + 39. What is the remainder when (v/2)/((-2)/4) is divided by 6?
5
Let g = 32 - 20. What is the remainder when 45 is divided by g?
9
Calculate the remainder when 42 is divided by 3 - (-2*5 + -2).
12
Let f(w) = w - 3 + 0*w + 1. Calculate the remainder when 10 is divided by f(8).
4
Let r = 13 - 8. Let s(d) be the third derivative of -d**4/8 - d**3 + d**2. Calculate the remainder when s(-5) is divided by r.
4
Suppose 0 = 5*f + 4*q - 60, 4*f - q - 85 + 16 = 0. Calculate the remainder when 46 is divided by f.
14
Let i = 17 + 29. What is the remainder when i is divided by 12?
10
Let g(o) = -53*o**3 - o**2 - o. Suppose 2*y = 29 + 7. Calculate the remainder when g(-1) is divided by y.
17
Let z(r) = r**2 - 3*r - 6. Let x = -21 - -17. What is the remainder when 85 is divided by z(x)?
19
Let a(l) = 3*l**2 + 4*l - 1. What is the remainder when a(-5) is divided by 8?
6
Let n(p) = p**3 + 22*p**2 + 24*p + 103. Let h(v) = -2. Let b(i) = -i + 1. Let q(r) = -4*b(r) - 3*h(r). Calculate the remainder when n(-21) is divided by q(3).
12
Let t(a) = -a**2 + 4*a + 43. What is the remainder when t(8) is divided by 8?
3
Suppose -2*d = -y - 12, 4*d + y + 2*y = 34. Calculate the remainder when 66 is divided by (-1287)/(-77) - (-2)/d.
15
Let x(m) = -3*m - 2. Let u = -9 + 12. What is the remainder when x(-2) is divided by u?
1
Let m(g) = g + 8. What is the remainder when m(-4) is divided by 3?
1
Suppose 0 = -3*a - 5*v + 3*v + 46, 5*a - 79 = -v. Suppose -2*k - i + 88 = 0, -k + i = 2*i - 42. What is the remainder when k is divided by a?
14
Let h(o) = 3*o + 8. Let f = -4 + 25. Calculate the remainder when h(11) is divided by f.
20
Let m(a) = a**2 - a + 63. What is the remainder when m(0) is divided by 13?
11
Let v(h) = -20*h - 2*h**2 + 21*h - 2*h**3 - 3*h**3 + 16*h**3. Let u(n) = -27*n**3 - 2*n - 1. Calculate the remainder when u(-1) is divided by v(1).
8
Suppose 2*q - 60 = 5*h, q + 2*h + 0*h = 21. Suppose 15*s - 16*s = 0. Suppose -x + s*x + b + 3 = 0, x - 27 = -5*b. What is the remainder when q is divided by x?
4
Let h(v) = 11*v**2 - 2*v + 3. What is the remainder when 47 is divided by h(1)?
11
Suppose 147 = 4*g + 39. Suppose 29 = -4*b - f, 4*f = 4*b - b - 2. What is the remainder when g is divided by b/9 + 88/6?
13
Suppose 4*k + 5*v = 13, -5*v + 1 = -k - k. Suppose -2*z - c - k + 27 = 0, -z - c = -11. Calculate the remainder when 52 is divided by z.
10
Let t = 4 - 2. Suppose 4*f = t*f + 12. Let z(i) = -i**3 - 11*i**2 - 9*i + 14. Calculate the remainder when f is divided by z(-10).
2
Let g(s) = s**2 - 1. Let x be g(-1). Suppose 4*o - 3*o - 13 = x. Calculate the remainder when 23 is divided by o.
10
Let w(r) = -2*r**3 + 8*r - 9*r - 27*r**3. Calculate the remainder when w(-1) is divided by 8.
6
Let b be -1 - (0/(-3) + -27). Let f = 82 - b. What is the remainder when 23 is divided by (12/7)/(8/f)?
11
Let l = -8 - -3. Let k(z) = -5*z + 4. What is the remainder when k(l) is divided by 10?
9
Suppose 4*c - c - 57 = 0. Suppose w + 4 = 41. Calculate the remainder when w is divided by c.
18
Suppose 0 = -4*c - 2*f + 34, -6*c - f + 44 = -c. Suppose 252 = 5*o + 82. Calculate the remainder when o is divided by c.
7
What is the remainder when 43 is divided by (8/2)/(4 + -3)?
3
Let y(c) = -c**2 - 8*c + 1. What is the remainder when 50 is divided by y(-6)?
11
Let a(p) = p - 3. Let k be a(5). Let u be ((-1)/(-2))/(k/(-8)). What is the remainder when 16 is divided by u + (-2 - (-13 + 0))?
7
Let i be 15/10 + (-458)/(-4). Suppose 5*x = 3*m + i, -8*x + m + 90 = -4*x. What is the remainder when 63 is divided by x?
19
What is the remainder when (-3*3)/((-12)/36) is divided by 14?
13
Let v(k) be the first derivative of k**4/4 - 3*k**3 + 3*k**2/2 - 12*k + 4. Calculate the remainder when 58 is divided by v(9).
13
Let t(l) = 2*l**2 - 10*l + 4. Let v be t(6). Let z(d) = 4*d - 1. Let p be z(4). What is the remainder when 19 is divided by p/((-4)/(v/(-6)))?
9
Let d be 2*21 + 0/1. Suppose -d = 5*a + 128. Let f = -22 - a. Calculate the remainder when 34 is divided by f.
10
Let d = -8 - -11. Let f(q) = q + 3. What is the remainder when f(2) is divided by d?
2
Suppose 8*b = 7*b + 18. Calculate the remainder when b is divided by 10.
8
Let y = -18 + 31. Calculate the remainder when (-51 + (1 - 0))/(-1) is divided by y.
11
Suppose 2*n = -2*s + 96, 0*s + 2*s - 90 = n. Let m(c) = c. Let r be m(6). Suppose 0 = 4*w + r - s. Calculate the remainder when 19 is divided by w.
9
Let p be 2/6 - (-1)/(-3). Let w be 1816/40 + 2/(-5). Suppose p = -2*j - j + w. What is the remainder when 29 is divided by j?
14
Suppose 2*w + 2*w - 24 = 0. Suppose w*n - 50 = n. Suppose 5*u - 16 = u. What is the remainder when n is divided by u?
2
Suppose m - 5*d = 24, -3*d - d - 50 = -3*m. Let l(x) = x**2 - x - 3. Calculate the remainder when l(7) is divided by m.
11
Suppose -2*b - 5*h + 91 = 0, -2*h = b - 5*b + 170. Suppose 2*g + 33 = 5*g. Calculate the remainder when b is divided by g.
10
Suppose 2*s + 224 = 4*s. Suppose 3*n + s = -8. What is the remainder when 9 is divided by (1/2)/((-4)/n)?
4
What is the remainder when 147 + (-5)/(-10)*0 is divided by 30?
27
Let q be (-6 + 4)/(2/43). Let f be q/(-9) + 2/9. Let w(i) = 4*i - 7. What is the remainder when w(f) is divided by 5?
3
Let n(t) be the second derivative of 5*t**3/3 - 3*t**2 - 3*t. What is the remainder when n(6) is divided by 14?
12
Let z be -2*3/6 + -9. Calculate the remainder when (z + 1)/(9/(-27)) is divided by 7.
6
Let k(z) = z + 26. Calculate the remainder when k(-12) is divided by 4.
2
Let j = -33 + 45. What is the remainder when 16 is divided by j?
4
Let j(d) = d**3 + 12*d**2 - 3*d + 1. Let y be j(-12). Suppose -4*h = -8, -5*x + h = -y - 36. What is the remainder when 29 is divided by x?
14
Suppose p = 2*x - 8, 0*x - 14 = x + 4*p. Suppose x*z = 3*z - 7. Calculate the remainder when 0 + 13 + 0/(-1) is divided by z.
6
Let i(x) = -5*x**3 + 2*x**2 + 2*x + 1. Let m be i(-2). Suppose 4*b - 34 = -2*z, -3*b - z + 6*z = -m. What is the remainder when 37 is divided by b?
7
What is the remainder when (-2 - 2)*(-105)/12 is divided by 9?
8
Let b(w) = -w + 7. Let a be b(7). Suppose -5*t = -0*t. Suppose t = 5*l - 4*m - 33, a = 2*l + m - 8 - 13. Calculate the remainder when 16 is divided by l.
7
Suppose 31*k - 26*k - 40 = 0. What is the remainder when 4/10 - (-108)/5 is divided by k?
6
Suppose 2*b = -b. Suppose b = -3*t - y + 26, 18 = 2*t + 3*y - 11. Calculate the remainder when t is divided by 4.
3
Let v(o) = -o**3 - 11*o**2 - 30*o - 3. What is the remainder when v(-7) is divided by 11?
0
Let p be (-1)/((-5)/4 + 1). Suppose -3*d - 111 = -p*j, -2*j + 18 = -3*d - 45. Let w = j + -16. Calculate the remainder when 14 is divided by w.
6
Let p(r) = 2*r - r + 0*r + 17*r**2 - 1. Calculate the remainder when (-2)/4 - 297/(-6) is divided by p(1).
15
Let t = 56 + -33. What is the remainder when 109 is divided by t?
17
Let s(u) = 1. Let o(c) = 2*c**2 - 9*c + 9. Let g(a) = o(a) - 6*s(a). What is the remainder when g(6) is divided by 6?
3
Let g be 1 - (0 + 3 + 2). What is the remainder when g/(-6) - 50/(-6) is divided by 5?
4
Let w(p) = 4 + 1 + p**2 + 3*p + 5*p - 2. What is the remainder when w(-10) is divided by 12?
11
Let x = 55 + -43. What is the remainder when 23 is divided by x?
11
Let t = 9 + -10. Let f(x) = -14*x**3 - x**2 + x + 1. Let a be f(t). Let s = a + -8. What is the remainder when 12 is divided by s?
2
Suppose 12 + 11 = t. Let n(y) = -2 - 1 - 2*y + 1. What is the remainder when t is divided by n(-7)?
11
Let l be 16/12*27/12. Let n = -4 + 9. Suppose l*c + 0 = 2*k + n, 0 = k + 1. Calculate the remainder when 2 is divided by c.
0
Suppose 2*c - 47 = 9. What is the remainder when c is divided by (12/(-9))/((-2)/15)?
8
Suppose 0 = -2*s - 2*s + 292. Calculate the remainder when s is divided by 15.
13
Suppose 5*p - p - 4*z - 176 = 0, 194 = 4*p + 5*z. Suppose -2*t = i - 2*i + 26, i + 4*t + 4 = 0. Calculate the remainder when p is divided by i.
14
Let j be 2/((-1)/2*-4). Suppose s - 2*s + 2 = 0. Suppose -4*o + 12 = 0, -3 = -4*a + s*o - j. Calculate the remainder when 7 is divided by a.
1
Suppose 4*g = -0*g + 20. Suppose f + 1 = 0, 3*j - g*j +