remainder when p is divided by m(4)?
2
Suppose -27 = 11*u - 14*u. Suppose 2 = -2*b, -4 = -r + b - 0*b. What is the remainder when -1*(-3 - u) - r is divided by 6?
3
Let y(h) = -3*h - 4. Suppose n - l = 5 + 16, 4*n = -4*l + 92. Calculate the remainder when n is divided by y(-4).
6
Suppose 0 = 4*j - 147 - 153. Calculate the remainder when j is divided by 19.
18
Let s(d) = -d**3 + d**2 - 2*d + 41. What is the remainder when 81 is divided by s(0)?
40
Suppose -d - 51 = -4*d. What is the remainder when 5 is divided by d/5 + 6/(-15)?
2
Suppose 2*q = 2*c - 5*c + 121, -5*q + c + 277 = 0. Calculate the remainder when q is divided by 12.
8
Let b be ((-36)/10)/((-3)/(-15)). Calculate the remainder when (3 + 0)/(b/(-300)) is divided by 17.
16
Let s(a) = -a**3 - 2*a**2 + 2*a + 4. What is the remainder when s(-3) is divided by 3?
1
Let q = -174 + 189. Suppose -5 = -5*d, 0 = 2*a + 2*d + 5 - 15. Calculate the remainder when q is divided by a.
3
Let y(n) = -n**2 - 10*n - 11. Let i be y(-8). Suppose i*c - 26 = 24. What is the remainder when 39 is divided by c?
9
Suppose -d + 3 = 2*m, -d + 7 = -m - m. What is the remainder when 8 is divided by -3 - (-2 - (-3)/m)?
0
Let k be (2 - 3 - 0)*-3. Calculate the remainder when k/((-1)/22*-3) is divided by 12.
10
Let r = -5 + 6. Let u(v) = 12*v - 1. Calculate the remainder when 2/(-6) + (-64)/(-3) is divided by u(r).
10
Let t = -1 - -23. Suppose t + 18 = 2*p. What is the remainder when 78 is divided by p?
18
Let l = 17 - 15. Suppose 0 = 5*u + 2*f - 568, 0 = 3*u - f + l*f - 341. What is the remainder when u is divided by 29?
27
Let d(s) = -s + 2. Let r be d(0). Suppose 3*k - 53 = -r*x + 34, 3*k - 105 = 4*x. Calculate the remainder when k is divided by 11.
9
Let t(j) = j**3 - 12*j**2 + 15*j - 12. Calculate the remainder when 61 is divided by t(11).
29
Let k = -42 + 69. What is the remainder when k is divided by 6?
3
Let i(h) = -3 - h**3 + 2*h**2 - h + 0*h**2 - 7*h**2. What is the remainder when 3 is divided by i(-5)?
1
Let g(k) = 12*k**2 + 2*k + 2. Suppose 0*l - 23 = -4*l - 5*x, -5*l = 5*x - 35. Calculate the remainder when g(-2) is divided by l.
10
Let n(m) = -m**3 + 4*m**2 + 5*m + 3. What is the remainder when 89 is divided by n(4)?
20
Suppose -6 = -4*a + 78. Suppose 5*g - g - 248 = 0. What is the remainder when g is divided by a?
20
Suppose 1 - 4 = -q, -5*q + 9 = -u. Let v = 41 + -24. Let w = v - u. Calculate the remainder when 41 is divided by w.
8
Let f be ((-56)/(-21))/(1/(-3)). Let j = 51 + -25. Calculate the remainder when j is divided by -8*(-4)/f - -13.
8
Let q = -7 + 28. Let s be -1 + (-2 - 74/2). What is the remainder when (s - (-2 - -2))/(-1) is divided by q?
19
Suppose 0*d - 3*l - 126 = -3*d, d = -2*l + 39. Suppose -3 = -3*m + 18. Suppose -3*o + 35 = -m. What is the remainder when d is divided by o?
13
Suppose 0 = -5*r + 42 + 13. Let x(k) = 44*k**2 - 1. Calculate the remainder when x(-1) is divided by r.
10
Suppose -2*z + 4*c + 86 = 0, -3*z - 5*c + 0*c = -140. Calculate the remainder when 132 is divided by z.
42
Suppose -4*a + 5*a - 31 = 0. Suppose -5*j + 3*k = -34, -3*j + 4*k + 16 = -0. Calculate the remainder when a is divided by j.
7
Suppose -2*v + 4*d = -42, 0 = 3*v - 3*d - 50 + 2. What is the remainder when 19 is divided by v?
8
Suppose 4*y + l + 12 = -3*l, 0 = 4*y + 2*l + 18. Let s = -2 + 8. Calculate the remainder when -1 - 2/(y/33) is divided by s.
4
Calculate the remainder when 101 is divided by (8 + -18 + 0)/(2/(-7)).
31
Let q be (-20)/(-50) + (-16)/(-10). Suppose -5*y + 23 = -2*o, 4*o = -q*y - o + 15. Calculate the remainder when 14 is divided by y.
4
Suppose 0 = -3*y - 3*v + 150, -y - 4*v + 42 = -5. What is the remainder when y is divided by 26?
25
Let v(w) = -8*w**2 + 11*w - 11. Let m(u) = 4*u**2 - 6*u + 6. Let j(i) = -5*m(i) - 3*v(i). What is the remainder when 51 is divided by j(2)?
12
Let r(t) = -2*t - 5. Let n be (-2)/1 - (-4)/(-1). Let q be r(n). What is the remainder when (1 + q/(-5))*-5 is divided by 1?
0
Let t = 38 - 26. What is the remainder when 43 is divided by t?
7
Let o be 21/(-4)*(-2 - 2). Suppose 3*l - 5*h - o = 0, h = -h. Calculate the remainder when l is divided by 44/10 + (-4)/10.
3
Suppose 155 = 5*f + 5*g, 0 = -2*f + 5*g + 30 + 46. Let h = -10 + 28. What is the remainder when f is divided by h?
15
Let t(c) = 5*c**2 + 1. Let r be t(1). Let j(n) = 5*n + 1. What is the remainder when j(r) is divided by 11?
9
Let f(b) = -3*b + 6. Calculate the remainder when f(-5) is divided by 8.
5
Let l = 7 + 21. Calculate the remainder when l is divided by 15.
13
Let f be (-12)/42 + (-30)/(-7). Suppose 3*d - 4 = -f*x, -x - 4*d + 1 = -0*d. Let s = x + 9. What is the remainder when 29 is divided by s?
9
Let t be (-1 - -3)/(4/30). Suppose -4*n + 3*z + 46 = 0, 4*z - 12 = -5*n + 3*n. Calculate the remainder when n is divided by (12/t)/((-2)/(-10)).
2
Suppose 2*q + 3*b + 0 - 1 = 0, -3*b = 3*q - 3. Suppose 4*z = -q*m + 32 - 10, 4*z + m = 17. Calculate the remainder when 8 is divided by z.
2
Suppose 2*z - 1 - 1 = l, -4*z = -4*l - 8. Suppose 0 = 3*s - 2*r - 26, 2*s - s - 5*r - 26 = z. Calculate the remainder when 12 is divided by s/27 - (-122)/18.
5
Let y = 19 - 14. Calculate the remainder when 8 is divided by y.
3
Suppose 0*h - 160 = -5*h. Suppose 4*i = 8*i. Suppose i = t + 2*t - 33. Calculate the remainder when h is divided by t.
10
Let k(t) = -t**3 - t**2 - t + 80. Let j be k(0). Suppose 0 = y - 2*h - 7, h + j = 4*y + y. Calculate the remainder when 50 is divided by y.
16
Let w(h) = h + 10. Let n be w(-8). Suppose -4 = -n*l + l. Let r = -11 + 18. Calculate the remainder when r is divided by l.
3
Let p(j) be the second derivative of 1/12*j**4 + 2*j + 2*j**2 + 0 + 7/6*j**3. Calculate the remainder when 6 is divided by p(-7).
2
Suppose 4 = -c + 24. What is the remainder when c is divided by 12?
8
Let a(p) = 2*p**3 - 5*p**2 - 3*p + 5. Let g be a(4). Suppose -x = -2*t - 2, -4*x - t = 2*t - g. Calculate the remainder when 23 is divided by x.
7
What is the remainder when 5/10*148/2 is divided by 13?
11
Suppose 2*s = 4*s - 82. Calculate the remainder when s is divided by 21*(-1 - (-5)/6*2).
13
Let j(d) = d - 2. Suppose 0 = -2*n + 3*n - 10. Calculate the remainder when 15 is divided by j(n).
7
What is the remainder when (-1)/(1/(-238)*1) is divided by 40?
38
Calculate the remainder when 23 is divided by 196/16 + 0 - (-2)/(-8).
11
Let f(m) = m**3 + 13*m**2 + 12*m + 11. Calculate the remainder when 75 is divided by f(-12).
9
Let z(x) = 4*x**2 - 3*x + 1. Let c(o) = o**2 + 2*o - 1. Let s be c(-3). Let r = 73 - 41. Calculate the remainder when r is divided by z(s).
10
Let d(q) = 11*q + 1. Suppose 1 = 3*l + s, -2*l + 6 = -2*s - 8. Calculate the remainder when d(l) is divided by 6.
5
Suppose -b = 2*j + 25, 3*b - 2*b - 15 = 2*j. Let r = 24 + j. Calculate the remainder when 54 is divided by r.
12
Let i = 76 + -57. Suppose 0*v + 2*v - 20 = 0. Calculate the remainder when i is divided by v.
9
Let f be ((-18)/4)/(2/(-4)). Let w = 3 + f. Calculate the remainder when (1 - (-38)/(-4))*-4 is divided by w.
10
Let c(b) = 3 - 2 - 2*b + 2 - 6. Calculate the remainder when c(-3) is divided by 2.
1
Suppose 0 = -4*l + 12, -3*a + 0*l = l - 15. Suppose -a*o = 4*u - 16, 5*o = 2*u + 29 + 5. What is the remainder when 8/(1/2 - 0) is divided by o?
4
Let m(y) = -y + 11. Suppose -2*k - 3*f + 25 = -0*k, f + 21 = 3*k. Calculate the remainder when m(k) is divided by 2.
1
Let w(s) = s**2 - 7*s - 4. What is the remainder when w(14) is divided by 19?
18
Let v(f) = f + 19. Let c be v(-14). Suppose 0 = c*y + 16 - 171. What is the remainder when y is divided by 17?
14
Suppose -j = 2*j - 36. Calculate the remainder when 20 is divided by j.
8
Suppose -6*s = -30 - 90. Calculate the remainder when 58 is divided by s.
18
Let f(b) = b - 15. Let p be f(7). Let a = 19 + p. What is the remainder when 31 is divided by a?
9
Suppose -6 = r - 21. Let m = r + 23. Calculate the remainder when m is divided by 10.
8
Let n be 5/(-25) + 2/10. Suppose -h = l + 4*l + 11, 4*h + 4*l - 36 = n. Calculate the remainder when (-2)/(-6) - (-160)/6 is divided by h.
13
Let h = 20 + -3. Let a(u) = -251*u**3 - u**2 + u + 1. Let j be a(-1). Suppose -3*k + j = 2*k. Calculate the remainder when k is divided by h.
16
Suppose -90 = -3*j - 0*j. What is the remainder when 59 is divided