*m - 5. Suppose -w + b - 28 = -6*w, -12 = -3*w - 3*b. Calculate the remainder when h(4) is divided by w.
5
Suppose -4*j = -5*y - 20, y - 2 = -4*j + 18. Suppose -3*o + 3*t - 5*t + 11 = y, 2*o + 2*t - 6 = 0. What is the remainder when 18 is divided by o?
3
Let r(o) = -o**3 + 4*o**2 + o. Suppose 0*j - 2 = -j. Suppose j*x - 36 - 30 = 0. Calculate the remainder when x is divided by r(3).
9
Suppose -101 = -2*n + 31. Suppose -2*c - 76 + 2 = 0. Let h = c + n. What is the remainder when h is divided by 15?
14
Suppose -4*d = 14 + 34. Let r be (-18)/(-8) - (-3)/d. Suppose -r*o + q + 0*q + 28 = 0, o - 16 = q. Calculate the remainder when o is divided by 7.
5
Let i(w) be the first derivative of -2*w**2 + 2*w + 4. Calculate the remainder when i(-2) is divided by 6.
4
Let j = 3 - 4. Let q be ((-3)/2)/(j/2). Suppose 0 = 7*b - q*b - 72. Calculate the remainder when 53 is divided by b.
17
Suppose 3*p = 27 + 114. Calculate the remainder when p is divided by 17.
13
Let y = -162 + 172. What is the remainder when 18 is divided by y?
8
Let w = 11 + -6. Let s be (w + -11)*(-46)/(-6). Let f = -20 - s. What is the remainder when 77 is divided by f?
25
Let n(c) = -c + 5. Suppose -4*x = -5*x + 4. What is the remainder when n(0) is divided by x?
1
Let g(p) = -p - 4. Calculate the remainder when 57 is divided by g(-19).
12
Suppose 177 + 213 = 6*x. Calculate the remainder when x is divided by 33.
32
Let w(z) = 3*z**2 + 2*z + 5. Let p be 4/(-10) + (-54)/15. Let o be w(p). What is the remainder when 2 + o + 2/1 is divided by 17?
15
Let d be (-16)/(-2 + (-11)/(-6)). Let s = d + -46. Suppose -2*z = -5*z + 51. Calculate the remainder when s is divided by z.
16
Let l = -7 + 10. Let f(n) = -5*n + 10*n + 3*n**2 - 1 - 2*n. Calculate the remainder when f(l) is divided by 12.
11
Let y = 59 - 42. Calculate the remainder when 3*(-2 + 13) - 1 is divided by y.
15
Let d be (6 - 5)/((-1)/2). What is the remainder when (-19)/(-7) + d/(-7) is divided by 3?
0
Let f(n) be the third derivative of n**5/60 + n**4/6 - 10*n**3/3 - n**2. Calculate the remainder when f(-10) is divided by 21.
19
Suppose -u - 4*y = y - 78, -5*u = y - 318. Calculate the remainder when u is divided by 16.
15
Suppose 2*f - 5*z = 20, -3*f + 4*z + 2 + 28 = 0. Suppose 2*n + 27 - 35 = 0. What is the remainder when f is divided by n?
2
What is the remainder when 53 is divided by (-14)/(-21) - (-82)/3?
25
Suppose -9*l = -8*l. Suppose l*t + t - 3 = 0. Let n(s) = -s - 1. What is the remainder when n(-5) is divided by t?
1
Suppose 0 = -3*n - 4 + 37. Calculate the remainder when 43 is divided by n.
10
Suppose -3*u - 3*r = -15, -2*r + 5*r = 4*u + 8. Suppose s - 5 = u. Calculate the remainder when (-60)/18*24/(-5) is divided by s.
4
Suppose -5*r - 275 = -10*r. Suppose 0 = 5*x - 9 - 86. Calculate the remainder when r is divided by x.
17
Suppose -2*v - 16 = 2*j - 4*j, -5*j + 36 = -4*v. Suppose -2*x = -5*u + 27, -j*u + 2*u + 15 = -5*x. Calculate the remainder when u is divided by 3.
2
Let s be 2/(-1) + -6 - 0. Calculate the remainder when (s/16)/((-1)/70) is divided by 12.
11
Let s = 100 + -66. Let i(o) = -o**3 - o**2 + 5*o + 4. Let p be i(-4). Let t = 50 - p. Calculate the remainder when s is divided by t.
16
Suppose 3*t + 39 = 5*r - 34, -39 = -3*r + 3*t. Let s(q) = q**3 - 4*q**2 - 3*q. Calculate the remainder when r is divided by s(5).
7
Let n(p) = 3*p. Suppose -x + f = -4*f - 14, -2*f = 2. What is the remainder when n(x) is divided by 7?
6
Let i(s) = -2*s - 11. Let j be i(8). Let g = j + 41. What is the remainder when g is divided by 5?
4
Let a = 91 + 71. Let j be (-1)/2 - a/(-4). Suppose 3*r = 4*w + 8*r - 27, -5*w + j = 5*r. Calculate the remainder when 25 is divided by w.
12
Let q be 0 - 6/(-6 - -3). Calculate the remainder when q/((4 + -1)/24) is divided by 9.
7
Let o = 12 + -9. Suppose -o*z - 7 + 43 = 0. What is the remainder when 47 is divided by z?
11
Suppose 3 = -s + c + 1, -2*c + 14 = 3*s. Suppose -5*v + 340 = -4*d, 5*d + 47 = 2*v - v. What is the remainder when (-4)/(-10) - v/(-20) is divided by s?
0
Let r(w) = 3*w**3 + 3*w**2 - w. Let z(q) = 6*q - 1. Let i be z(1). Let o = i - 3. What is the remainder when r(o) is divided by 12?
10
Let u(d) = 14*d + 13. Let n(l) = 7*l + 6. Let s(q) = -5*n(q) + 2*u(q). Calculate the remainder when s(-4) is divided by 13.
11
Let y = -11 + 15. Suppose 0 = -2*t + y*k + 71 + 35, -295 = -5*t - 5*k. What is the remainder when t is divided by 20?
17
Let w(r) be the second derivative of 4*r**3/3 - 2*r**2 - 6*r. What is the remainder when 21 is divided by w(2)?
9
Suppose 236 - 24 = 4*r. Let g(z) = -5*z - 2. Calculate the remainder when r is divided by g(-4).
17
Let x = 40 + -17. Let k be 2/2*13 + 2. Let a = k + -7. What is the remainder when x is divided by a?
7
Let g be 3*((-22)/(-6) - 3). Suppose -g*p + 2 + 0 = 0. What is the remainder when 3 is divided by p?
0
Let h(m) = -4*m**3 + 12*m**2 - 4*m + 9. Let x(a) = -5*a**3 + 13*a**2 - 3*a + 10. Let v(w) = 4*h(w) - 3*x(w). What is the remainder when 38 is divided by v(8)?
10
Suppose -8 = -2*i + 18. Let l = -1 - -24. Calculate the remainder when l is divided by i.
10
Let u = -10 - -14. Suppose -3*o + y = 62 - 274, -u*y = o - 75. Suppose 2*a - o = -2*n - 3*n, 3*n - a = 47. What is the remainder when 28 is divided by n?
13
Suppose 238 - 663 = -17*c. What is the remainder when 91 is divided by c?
16
Let q(i) = -i**3 + 7*i**2 - 4*i + 7. Let g(n) = n + 3. Let j be g(3). What is the remainder when q(j) is divided by 7?
5
Let d = -90 - -99. Calculate the remainder when 48 is divided by d.
3
Suppose -2 = -2*b - 0*b. Let r be b/(-1)*(-14)/(-2). Let u = 18 + r. What is the remainder when u is divided by 6?
5
Let c = -8 + 12. Suppose -c*v + 4*z = -152, z + 32 + 84 = 3*v. Suppose 3*l - 39 = 5*j + 46, -j = -4*l + 85. What is the remainder when v is divided by l?
19
Suppose r - v = -18, -3*r = 2*r + v + 90. Let z be 2/(-9) + (-4)/r. Suppose -j + 0*j + 21 = z. What is the remainder when 61 is divided by j?
19
Suppose 7 = 6*v - 23. Calculate the remainder when 17 is divided by v.
2
Let i(h) be the first derivative of -h**2/2 - h + 2. Let c be i(-5). Suppose -d + 6 = 1, -c*d - 44 = -4*z. Calculate the remainder when 31 is divided by z.
15
What is the remainder when -9*9/(-3) - 4 is divided by 9?
5
Let s(r) = -r**3 - 15*r**2 + 17*r + 21. Let d be s(-16). Suppose d = 3*z + 2*z. What is the remainder when 3 is divided by z?
0
Let p = 42 + -18. Suppose 4*q = y + 23, -4*q + 4*y = -0*q - 20. Let b(g) = -g**2 + 8*g + 1. Calculate the remainder when p is divided by b(q).
11
Suppose -p = -3*p + 26. Calculate the remainder when 23 is divided by p.
10
Let r be 6/(-2 - 0) + -1. Let m = r - -7. What is the remainder when m is divided by 2?
1
Let f(x) = x**3 - 8*x**2 + 4*x - 8. Calculate the remainder when 94 is divided by f(8).
22
Suppose 9*o + 15 = 4*o. Calculate the remainder when 61 - (o - 2 - -4) is divided by 21.
20
Suppose 0 = -8*o + 511 - 167. What is the remainder when 80 is divided by o?
37
Let a(s) = 2*s + 8. Let i be a(-6). Let l = i - -18. What is the remainder when 27 is divided by l?
13
Let n(z) = z**3 + z - 5. Let j be n(0). Let y = -3 - j. Suppose 111 = t + y*t. Calculate the remainder when t is divided by 13.
11
Suppose 0*u + u - 3*h = 10, 0 = -3*u - 2*h + 8. Let t = -2 - -11. What is the remainder when t is divided by u?
1
Let t(f) = 3*f - 12. Suppose -2*m + 7*m - 44 = -2*y, 4*m + 3*y - 38 = 0. Let i be t(m). Let d = -5 + i. Calculate the remainder when d is divided by 4.
3
Let l(h) = h**2 - 3*h - 1. Let m be l(-3). Suppose -4*p + 4*c = 0, 0 - 4 = c. Let z = p + m. Calculate the remainder when 38 is divided by z.
12
Let x(o) = -o - 3. Let z be x(-5). Suppose -z*p = 5*n - 46, -3*n = 2*n + 4*p - 42. Calculate the remainder when 29 is divided by n.
9
Let o(d) = 4*d - 1. Let f be 4/(-26) + 162/39. Calculate the remainder when 44 is divided by o(f).
14
Let s(k) = -16*k - 1. Let r be s(-7). Suppose -8*g + 5*g = -r. What is the remainder when g is divided by 10?
7
Suppose 0 = -4*u, 2*c - 5*u = -c + 24. Let n = -75 + 105. Calculate the remainder when n is divided by c.
6
Let o(a) = a + 1. Let m be o(-5). Let z be (-2)/((24/(-45))/m). Calculate the remainder when (138/z)/(2/(-10)) is divided by 16.
14
Suppose 70 - 246 = 2*k. Let w be 2 - 0 - (-236)/(-4). Let r = w - k. W