
Let v = 4 + -2. Suppose v*n + 9 = x, 3*x + n = 6*x - 52. Let m(k) = 2*k + 33. Calculate the remainder when m(1) is divided by x.
16
Let k = -18 + 25. Suppose -v = -2*v - 19. Let h = 24 + v. What is the remainder when k is divided by h?
2
Let q be 1/5 + (-2328)/15. Let o = -122 - q. What is the remainder when 164 is divided by o?
32
Let o be -107 - (3 + (4 - 4)). Calculate the remainder when 15 is divided by o/(-20) + 2/4.
3
Let f(t) = -t**3 - 5*t**2 + 4*t - 9. Suppose -5*x + 6 = -7*x. Calculate the remainder when 4*(42/(-8))/x is divided by f(-6).
1
Calculate the remainder when 1/((-2)/4) + 28 is divided by (-78)/(-8) + 1 + 14/(-8).
8
Suppose -4*m + 65 = -3. Calculate the remainder when m is divided by 30 + -36 + 9*1 + (6 - 0).
8
Let p = -9 + 12. Suppose p*t - 2*f - 21 = 0, 0 = -5*f - 9 - 6. Let l(z) = 3*z**2 - 2*z - 2. Calculate the remainder when l(-2) is divided by t.
4
Let x(y) = -y**3 - 8*y**2 - 12*y - 16. Suppose 0 = -4*p + 3*p + 75. Calculate the remainder when p is divided by x(-7).
18
Let k be (92/(-5))/((-1)/5). Suppose 0*i = -i + k. What is the remainder when i is divided by 31?
30
Let o(m) = m**3 - 15*m**2 - 5*m + 78. Calculate the remainder when 50 is divided by o(15).
2
Suppose 10 = 7*j - 9*j. Let p(i) = -22*i - 35. What is the remainder when p(j) is divided by 27?
21
Let p be -3*(5 - 3 - (-335)/(-15)). Suppose 3*f = 4*s - 401 + p, -2*f - 168 = -2*s. Calculate the remainder when s is divided by 46.
42
Suppose -18*z + 243 = -387. Calculate the remainder when 383 is divided by z.
33
Let t(n) = -445*n**3 - 4*n**2 - 5*n - 3. Calculate the remainder when t(-1) is divided by 41.
33
Let y = -117 + 149. Suppose -7*d + y = -3*d. Calculate the remainder when 29 is divided by d.
5
Let g(c) = -c**2 + 29*c - 97. What is the remainder when 30 is divided by g(4)?
0
Suppose -4*i = 7 - 27. Suppose -i*j - 28 = 32. Let s(f) = f**2 + 12*f + 16. What is the remainder when s(j) is divided by 9?
7
Let a(i) = -5*i + 3. Let x be a(2). Calculate the remainder when (-4 - (-12)/(-14))*-7 is divided by (0 + (-6)/x)*14.
10
Suppose -3*h + 2*w - 7*w = 133, 4*w = 4. Let s = 58 + h. Suppose 3*y - 101 = -35. Calculate the remainder when y is divided by s.
10
Suppose -4*i = -0*i - 240. Let r(p) be the third derivative of p**6/60 - p**5/15 + p**4/6 + p**3/6 - 12*p**2. What is the remainder when i is divided by r(3)?
29
Suppose 0 = -3*r + 2*p + 10, -4*p = -5*r + 5 + 11. Let h be ((-518)/(-4))/(r/8). Suppose 3*k = h - 58. What is the remainder when k is divided by 17?
16
Let t(a) = 4*a**2 - 2*a - 1. Let x be t(-1). Let y = 13 + -7. Suppose -y = -s + x. What is the remainder when 31 is divided by s?
9
What is the remainder when 78 is divided by (((-40)/5)/(-2))/(2/35)?
8
Suppose -7*w + 2*w = 4*n + 146, 3*n - 5*w = -92. Let k = n + 71. Let g(q) = q**3 - 11*q**2 - 14*q + 37. Calculate the remainder when k is divided by g(12).
11
Let x(q) = -q**2 + 18*q - 16. Suppose -5*h - l = -80, -2*h + 5*l + 32 = l. What is the remainder when 61 is divided by x(h)?
13
Calculate the remainder when 157 is divided by (168/378)/((-4)/3)*-228.
5
Calculate the remainder when (-459)/(-36)*(-4)/(-3) is divided by 9.
8
Suppose 232 = -2*h + 6*h. Suppose -5*b - 3*x = -32, 2*b - b - 3*x = -8. Suppose -2*i + b*i - 60 = 0. What is the remainder when h is divided by i?
28
Let g be (6/(-21))/((-2)/7). Calculate the remainder when 46 is divided by 25/(5 - (1 + g) - 2).
21
Let g(j) = -29*j - 14. Calculate the remainder when g(-4) is divided by 15.
12
Suppose 3*a + a = 4*o + 400, 0 = 3*a - 4*o - 300. Suppose 75 = -5*g + a. Let b(m) = m**3 - 5*m**2 + m + 4. Calculate the remainder when b(5) is divided by g.
4
Suppose -20*g + 296 = -144. Let f be (2 - 4)*(-2 + 0). Suppose 0 = -0*v - f*v + 24. What is the remainder when g is divided by v?
4
Suppose 5*x - 90 = 3*x - 2*k, 5*x - 3*k = 185. Calculate the remainder when 91 is divided by x.
11
Let j(z) = 2*z**2 + 10*z + 17. What is the remainder when 22 is divided by j(-5)?
5
Let a(b) = b**3 - 6*b**2 + 6*b - 2. Let q be a(5). Let w = q + 9. What is the remainder when ((-2)/3)/((-15)/((-5940)/(-8))) is divided by w?
9
Suppose -25*j + 432 = -21*j. Let a = 17 + j. Calculate the remainder when a is divided by 18.
17
Let c = 526 + -511. Calculate the remainder when 144 is divided by c.
9
Let m(n) = -2*n**3 + 2*n**3 + n**3 + 13 - 10*n - 7 - 2*n**2. Calculate the remainder when m(7) is divided by 23.
20
Let s = -36 - -67. Suppose 4*d + s = 143. Let g(p) = -p**3 - 12*p**2 + 13*p + 15. Calculate the remainder when d is divided by g(-13).
13
Suppose -4*t + 5*l = -133, -t = -6*t - 3*l + 120. Suppose -2*v + 3*n = 4 - t, n - 29 = -3*v. What is the remainder when 29 is divided by v?
9
Suppose -3*j + 225 = 3*b, -75 - 78 = -2*b + j. What is the remainder when b is divided by 22?
10
Let z = -22 - -33. Suppose -3*h = -2*j - z, h + 2*j = -4*h + 13. Calculate the remainder when h is divided by 2.
1
Let k(n) = 8*n**2 + 4*n + 3. Let h(t) = 16*t + 433. Calculate the remainder when k(-2) is divided by h(-26).
10
Let x = -1 - -96. Suppose 0 = 14*f - 19*f + x. What is the remainder when 35 is divided by f?
16
Let o(x) = -x**2 + 19*x - 25. What is the remainder when 370 is divided by o(13)?
52
Let d = 1758 - 1748. What is the remainder when 475 is divided by d?
5
Let d(n) = -2*n - 8. Let q be d(0). Calculate the remainder when (-69)/6*q/4 is divided by 13.
10
Suppose -8*j + 11*j = 633. Calculate the remainder when j is divided by 53.
52
Let c be 9*(-1)/(-2 + 1 + 0). Suppose -l + 48 = 3*l. Calculate the remainder when 44 is divided by ((-69)/(-4))/(c/l).
21
Let o(a) = a**2 - 7*a - 67. What is the remainder when o(14) is divided by 20?
11
Suppose 2*y = -y + 135. Suppose h = 126 + 6. Calculate the remainder when h is divided by y.
42
Let y(j) = -21*j**3 - j**2 + j + 1. What is the remainder when (13/(117/216))/(2/(16/6)) is divided by y(-1)?
12
Let d(m) be the first derivative of -m**3/3 - 15*m**2/2 + 3*m + 11. What is the remainder when d(-14) is divided by 9?
8
Let r(x) = x**3 + x**2 + x + 72. What is the remainder when r(0) is divided by (-50)/(-3)*-6*2/(-8)?
22
Suppose -235*z + 2373 = -228*z. What is the remainder when z is divided by 18?
15
Let i = -18 - -18. Suppose i = 5*a - 5*q - 415, 5*a = a - 5*q + 287. What is the remainder when a is divided by 27?
24
Suppose 0 = 50*i - 45*i - 350. Suppose 0 = 48*v - 53*v + i. What is the remainder when v is divided by 2?
0
Suppose 2*a - a + 4*p = -10, -4*a - 3*p = -12. Suppose -x + 12 = l, -5*x + 70 = -3*l + a*l. What is the remainder when x is divided by 6?
5
Calculate the remainder when -2 + 11 - (-27 + -121) is divided by (3 + 0)/(6/40).
17
Suppose 4*i = 0, 2*p - 2*i - 17 = p. Let m = 228 + -163. Calculate the remainder when m is divided by p.
14
Suppose 0 = -3*l - 2*s + 71 + 18, -l - s + 31 = 0. What is the remainder when l is divided by 11?
5
Calculate the remainder when 301 is divided by 16/6*10/(80/24).
5
Let z(b) = -114*b - 70. What is the remainder when z(-3) is divided by 46?
42
Let a(l) = 2*l**2 + 116*l + 4 - 4*l**2 - 112*l + 3*l**2. Let v be (-1)/2 - 11/(-2). What is the remainder when a(v) is divided by 17?
15
Suppose j - 6*j + 30 = 5*s, 0 = -5*s + 5*j. Suppose 0 = -3*p + 4*x + 31 + 79, s*p = -2*x + 80. Calculate the remainder when 116 is divided by p.
26
Let s = -84 - -261. Calculate the remainder when s is divided by 18.
15
Let i = -5 + 26. Calculate the remainder when i is divided by 4 - (0 - 7/1).
10
Calculate the remainder when (7 - (-596)/(-16))*-32 is divided by 27.
23
Let w = -432 - -494. Let b = 27 - 11. What is the remainder when w is divided by b?
14
Let m = -510 - -547. Calculate the remainder when 67 is divided by m.
30
Let r(u) = 32 + u**2 + u**3 - 2*u + u**2 - u**2 + 3*u. What is the remainder when r(0) is divided by 12?
8
Let p be (-1)/(-3 - 19/(-6)). Let i(x) = x**2. Let z(f) = 8*f**2 - 7*f - 17. Let w(t) = -6*i(t) + z(t). What is the remainder when w(p) is divided by 33?
31
Let i be (-3 - (-14)/3)/((-3)/(-9)). Suppose 2*a - 5*a + i*x = -30, 0 = 5*a + 2*x - 81. Calculate the remainder when 44 is divided by a.
14
What is the remainder when 329 + (2 - -2) + 7 is divided by 9?
7
Suppose -4*v + 18 = -2. Calculate the remainder when 0 + (-4)/(-10) + 193/v is divided by 20.
19
Suppose -2*z + 61 + 121 = 0. What is the