 the remainder when z(-4) is divided by p(-4)?
4
Let t(h) = -2. Let p(z) = -z**2 - z + 1. Let w(y) = -2*p(y) + t(y). What is the remainder when w(3) is divided by 60/9 - (-1)/3?
6
Let m(c) = -c**2 + 17*c + 25. Calculate the remainder when m(17) is divided by 12.
1
Suppose 6*c = 5*c. Suppose -5*l - 3*k = -50, c = -l + 4*k - 2*k + 10. Calculate the remainder when 37 is divided by l.
7
Let d = -7 - -8. Let s be 18/(-27) + d/(-3). Let h = 19 + s. Calculate the remainder when 34 is divided by h.
16
Let d(r) be the second derivative of -5*r**3/6 - 2*r. Calculate the remainder when d(-1) is divided by 2.
1
Let t(h) be the second derivative of -h**3/2 - 3*h**2 + 2*h. What is the remainder when t(-7) is divided by 8?
7
Suppose -3*r + 5*l + 3 + 20 = 0, -10 = -2*l. Calculate the remainder when 29 is divided by r.
13
Let h(a) = 3 + 2*a + 3 - 5*a - 4. Calculate the remainder when h(-4) is divided by 8.
6
Suppose -6 = 2*v, 2*j - j + 4 = -2*v. Suppose 5 = j*n - 1. What is the remainder when 11 is divided by n?
2
Let u = 101 + -84. What is the remainder when 26 is divided by u?
9
Let x = 1 - 0. Let h(n) = 17*n + 1. Calculate the remainder when h(x) is divided by 10.
8
Let u(v) = v**2 + 7. Calculate the remainder when u(0) is divided by (4/(-6))/(7/(-21)).
1
Let d(i) = -i**2 + 7*i + 5. Let t(c) be the first derivative of -c**4/4 + 11*c**3/3 - 9*c**2/2 - c + 1. What is the remainder when d(4) is divided by t(10)?
8
Suppose -5*o - 21 = -121. Suppose 0 = -4*n + 164 + o. Suppose -38 = -3*v + 5*g, 3*v - 2*g + 13 = 57. What is the remainder when n is divided by v?
14
Let f(v) = -v**2 - 2*v + 3. Let k be f(-3). Suppose -8*b + 11*b - 51 = k. Let p(x) = -11*x - 1. What is the remainder when b is divided by p(-1)?
7
Let a be (-2)/7 + 116/14. Let r = 12 - a. Suppose -3*u = -8*u + r*x + 40, -x - 7 = -u. What is the remainder when 22 is divided by u?
10
Let f = 38 - 24. Suppose -5*j - 6 = -3*q + f, -8 = 4*q + 2*j. What is the remainder when 30 is divided by 4*(5 - 1) + q?
14
Let u be 1/2 + (-5)/10. Let j = -1 + u. Calculate the remainder when 0 + j*-2*11 is divided by 6.
4
Let b(p) be the second derivative of p**4/6 - 4*p**3/3 - p**2/2 - 3*p. What is the remainder when 112 is divided by b(6)?
20
Calculate the remainder when (364/(-6))/(2*4/(-12)) is divided by 19.
15
Suppose -3*i - 51 = 3*a - 7*a, -2*a - 2 = 4*i. Calculate the remainder when a is divided by 6.
3
Let a(s) = s - 7. Let b be a(5). Let j(z) = 5*z**2 - z - 2. Calculate the remainder when 5355/91 + (-2)/(-13) is divided by j(b).
19
Let o(p) = 9*p + 3. Let x be o(5). Suppose -3*n + 12 = -3. Suppose 0 = 2*y + n*f - x, 2*f + 62 = -y + 6*y. What is the remainder when 26 is divided by y?
12
Let n(c) = 2*c - 5. Let q(x) = x**3 + 4*x**2 - 5*x + 5. Let z be -1 + (-3)/3*4. Let u be q(z). What is the remainder when n(u) is divided by 2?
1
Suppose 2*i + 10 = -3*i. What is the remainder when (1 - 2)/(i/42) is divided by (0 + -2)/(-1) + 9?
10
Let g be 2256/(-20) - 2/10. Let q = -47 - g. Calculate the remainder when q is divided by 17.
15
Let x = -40 - -60. Calculate the remainder when x is divided by 7.
6
Let t(f) = -5*f - 27. What is the remainder when 71 is divided by t(-13)?
33
Suppose -2*t - 3 = -d, -t - 19 = d - 4*d. Let h be d - (-5)/((-10)/4). Suppose h*k - 116 = k. Calculate the remainder when k is divided by 8.
5
Let i(m) = -m + 4. Let r be i(4). Suppose r = 4*l - 3*l - 26. Suppose -3*p - 5*g - 15 + 76 = 0, 4*g = 2*p - l. What is the remainder when p is divided by 9?
8
Suppose 5*k = 3*k + 20. Let r = -5 + 8. What is the remainder when k is divided by r?
1
Let z(l) = -l**3 - 7*l**2 - 9*l. Let n be 3*2/3*-3. Suppose -2*x = 0, -24 = 3*y - x - 126. Calculate the remainder when y is divided by z(n).
16
Calculate the remainder when 42 is divided by (-1)/(3*4/(-132)).
9
Suppose -3*p = -20 - 16. Suppose -q + 35 = n, -n + 2*q = -q - 27. What is the remainder when n is divided by p?
9
Let z = -47 - -55. What is the remainder when 47 is divided by z?
7
Let i be ((1 - 1)*1)/2. Let w be 2/(-1) + 6 + i. Suppose w*t - 35 = 113. Calculate the remainder when t is divided by 13.
11
Suppose 2*z - 94 = -0*z. Calculate the remainder when z is divided by 25.
22
Suppose -2*h = -3*h + 6. Calculate the remainder when 17 is divided by h.
5
Let c(t) = -52*t**3 + t**2 - t - 1. Let r(g) = 3*g. Calculate the remainder when c(-1) is divided by r(6).
17
Let n(l) = 2*l**2 - 3. What is the remainder when n(-4) is divided by 10?
9
Let a = -3 - -108. Suppose -2*k + a = 3*k. Let l(p) = p**3 + 4*p**2 - 7*p + 1. What is the remainder when k is divided by l(-5)?
10
Suppose 8 = -k - 0*k. Calculate the remainder when 30 is divided by 2 + -1 + (-1 - k).
6
Let k = 48 + -32. Let b = k - 4. What is the remainder when 47 is divided by b?
11
Let f(a) = -18*a - 1. Let p(i) = 18*i + 1. Let j(u) = -6*f(u) - 5*p(u). Let c be j(-1). Let o = c + 28. What is the remainder when o is divided by 6?
5
Let o = -13 + 17. Calculate the remainder when 7 is divided by o.
3
Let h = 8 - -2. What is the remainder when 88 is divided by h?
8
Let c(b) = -3*b + 4. Calculate the remainder when c(-3) is divided by 7.
6
Let i = 15 + -21. Calculate the remainder when (44/i)/((-10)/45) is divided by 9.
6
Let n(u) = u**3 + 7*u**2 + 5*u. Let t be n(-6). Calculate the remainder when 44/6 + (-4)/(-6) is divided by (-18)/(-4)*t/9.
2
Let p be -7 - 1/((-3)/6). Let v = -27 + 38. Let x = p + v. What is the remainder when 17 is divided by x?
5
Let u be 440/24 - 2/6. What is the remainder when 7/(-3*(-1)/u) is divided by 15?
12
Let l = -2 + 4. Let n = -6 - -10. Calculate the remainder when n is divided by l/8 - 33/(-12).
1
Let o be (-17)/(-2)*2 + -1. Let r = o + 0. What is the remainder when r is divided by (-4)/18 - 112/(-18)?
4
Calculate the remainder when 2967/27 - 5/(-45) is divided by 37/(-3)*(0 - 3).
36
What is the remainder when (-138)/(-4)*(-4)/(-3) is divided by 16?
14
Calculate the remainder when (-1)/(-2) + (-86)/(-4) is divided by 8.
6
Suppose -11 = 2*i - 3*i + u, 35 = 3*i - u. What is the remainder when 45 is divided by i?
9
Let h(f) = -6*f - 3. Let r be -1 + (-176 - 0)/(-2). Let n = r + -35. Calculate the remainder when n is divided by h(-5).
25
Let c(h) = h - 4. Let z be c(3). Let i be (0 - -2)*z - 3. Let g(y) = y**2 + y + 2. Calculate the remainder when g(i) is divided by 8.
6
Suppose -4*o + 26 = 6. Suppose -o*a + 52 = -4*g, -a - 4*a - 3*g + 66 = 0. Calculate the remainder when 47 is divided by a.
11
Suppose -z = 3*z. Calculate the remainder when 54 is divided by 4/(z + (-8)/(-28)).
12
Let i(x) = x + 6. Let f be i(-3). Suppose -5*o + 215 = 3*d, 3*o + o + 4*d = 180. Suppose o = f*v + v. Calculate the remainder when v is divided by 6.
4
Suppose g - 5*h = -0*h + 139, 669 = 5*g + h. Calculate the remainder when g is divided by 17.
15
Suppose 0 = -10*p + 9*p + 7. What is the remainder when p is divided by 5?
2
Let k be ((-36)/(-14))/(15/70). Suppose -4*b + w + 5 = 0, -3*w - k = -7*w. Let i = 35 + b. Calculate the remainder when i is divided by 13.
11
Let p(h) = -2*h. Let o be p(-10). Let s = 3 + o. Calculate the remainder when (-86)/(-2) + (-8)/(-8) is divided by s.
21
What is the remainder when 133 is divided by 600/18 + (-4)/(-6)?
31
Let l = -11 + 25. Let a = -18 + 11. Let j = 33 + a. Calculate the remainder when j is divided by l.
12
Let r be (-1)/(-5) + 58/10. Let t = r - 3. Suppose 0 = -3*g - t*i + 24, g + 0*i + 4 = -4*i. What is the remainder when 35 is divided by g?
11
Suppose 0 = -5*f + b + 310, 3*b = -2*f + 78 + 63. Suppose 3*n + 5*i - 71 = 0, -3*i + 0 = -3*n + f. Calculate the remainder when n is divided by 2/3 - (-22)/3.
6
Suppose -2*u - 46 = 4*a, 2*a - 3*a = 5*u + 16. Let j = a - -15. Suppose -f + d + 26 = -2*d, -j*f + 104 = -d. What is the remainder when f is divided by 14?
12
Suppose -2*i + 39 = 1. What is the remainder when i is divided by 7?
5
Suppose -2*u = u - 51. Suppose -2*f + 27 - 9 = -3*g, -3*g = -f + 9. What is the remainder when u is divided by f?
8
Let x = 73 + -50. What is the remainder when x is divided by 12?
11
Suppose -3*q + 0 - 18 = 0. Calculate the remainder when (-429)/q + (-6)/4 is divided by 24.
22
Suppose 6 + 62 = 4*c. Suppose 0 = 4*g - 2*g - 26. Suppose 2*q = -f + g, -q + 14 = -2*f + f. What is the remainder when c is divided by q?
8
Let v = 0 - -17