Calculate the remainder when w is divided by 4.
2
Let a(p) = p**2. Calculate the remainder when 6 is divided by a(2).
2
Suppose -4*y = -4*a - 16, 3*y - 2*a = 16 - 0. Let k(i) = -3*i - 1. Calculate the remainder when k(-5) is divided by y.
6
Suppose -3*r + 0*a + 73 = -4*a, r + a - 36 = 0. Suppose 2*y = b - 1, -2*y = -3*y + 5. Calculate the remainder when r is divided by b.
9
Suppose 0 = 6*r - 411 - 177. Calculate the remainder when r is divided by 20.
18
Suppose 3*z - 40 = 3*y + 56, z = 3*y + 32. Let t = z - 2. Calculate the remainder when t is divided by 8.
6
Let h be 1/(-3 - (-48)/15). Suppose h*t - 6 = -v + 2*t, t - 1 = 0. Suppose v + 12 = k. What is the remainder when k is divided by 8?
7
Let m(x) = 3*x + 6. Suppose 0 = -c - 4*c + 65. What is the remainder when m(10) is divided by c?
10
Calculate the remainder when 36 is divided by 24/2 - (3 + (-1 - 3)).
10
Let p(f) = f + 22. Let t be (-1)/(-2) - (-2)/(-4). Let x = t + 7. What is the remainder when p(-11) is divided by x?
4
Suppose 0 = -3*x + 5*x + 50. Suppose a + 145 = 4*b, -147 = -4*b + 5*a + 2. Let v = b + x. What is the remainder when 32 is divided by v?
10
Let a(j) be the second derivative of j**4/12 - 2*j**3/3 + 3*j**2/2 - j. Let k be (-56)/(-10) + 10/25. Calculate the remainder when 43 is divided by a(k).
13
Let q = 359 + 69. Suppose j + h - 86 = -0*h, 0 = 5*j + 4*h - q. Suppose -3*n - n - 5*y = -60, 4*n - y = j. What is the remainder when 39 is divided by n?
19
Let z(g) = -3*g - 10. Let l = -25 + 17. Calculate the remainder when 41 is divided by z(l).
13
Let l = 261 + -175. What is the remainder when l is divided by 22?
20
What is the remainder when 5/((-40)/(-332))*2 is divided by 14?
13
Suppose o + 112 = 4*m, -2*o + 90 + 63 = 5*m. Suppose 3*d - m = -17. What is the remainder when 5 is divided by d?
1
Suppose n - 4*x + 3*x = 58, -2*n + x = -114. What is the remainder when n is divided by 20?
16
Suppose 3*i + 3*b - 318 - 207 = 0, -4*b = 4. Suppose 4*y = -2*d + i, -2*y - d = -2*d - 88. Calculate the remainder when y is divided by 15.
14
Let p be 2 - 11 - (-4 - -7). Let c(v) = v**2 - v - 270. Let s be c(0). What is the remainder when 34 is divided by ((-8)/(-10))/(p/s)?
16
Suppose 2*g - 5*g = 0, 5*p - 5*g - 240 = 0. What is the remainder when p is divided by 25?
23
Let m = 38 - 75. Let s = m - -54. Calculate the remainder when s is divided by 9.
8
Let m = 121 - 77. Calculate the remainder when m is divided by 24.
20
Let x = -19 - -9. Suppose -10 = -g - 2. What is the remainder when g is divided by 1/(((-2)/x)/1)?
3
Let g(x) = 84*x**2 - 4*x + 14. Let v be g(6). Calculate the remainder when 1/(-7) + v/77 is divided by 10.
9
Calculate the remainder when 37 is divided by (-6)/9*(-57)/2.
18
Suppose -3*p + p + 4*q + 56 = 0, 5*p - q = 95. Let l = 41 - 7. What is the remainder when l is divided by p?
16
Suppose 11 = -4*m - 1. Let x(r) be the second derivative of r**4/12 + r**3/3 + r**2 + 20*r. What is the remainder when 14 is divided by x(m)?
4
Suppose -3*s = 4*d + 10, 3*d = -3*s + s - 8. Suppose 4 = 3*p + 4*b - 67, 0 = -p + 2*b + 37. What is the remainder when p is divided by (-2)/d - 58/(-4)?
14
Let h = 18 - 11. What is the remainder when 10 is divided by (h - -1) + -2 + 0?
4
Let n = -47 - -96. What is the remainder when n is divided by 17?
15
Let v(s) be the third derivative of s**5/60 - s**4/24 - 2*s**3/3 + 8*s**2. Calculate the remainder when v(4) is divided by 5.
3
Let y(s) = 3 - s + 2 - 5. Let i be y(-2). Suppose -i*c = -5*j + 62 + 9, 0 = -2*j - 3*c + 36. Calculate the remainder when j is divided by 8.
7
Let m(t) = t**3 - 11*t**2 + 4*t - 37. Let g(f) be the first derivative of 7*f**3 - f**2/2 - 1. Calculate the remainder when g(1) is divided by m(11).
6
Let t(i) = i + 29. Suppose 0 = -a - 5*f + 19, -2*f - 15 = -7*f. Suppose n = a*n - 30. What is the remainder when t(0) is divided by n?
9
Suppose 0 = 3*d - 6 - 9. Let z(a) be the third derivative of -a**4/24 - 2*a**2. What is the remainder when z(-9) is divided by d?
4
Calculate the remainder when (-42 + 60)*56/6 is divided by 19.
16
Suppose 5*i = -3*q + 138, -2*i - 4*q + 24 + 34 = 0. Calculate the remainder when i is divided by 11.
5
Suppose -19 = -5*c + 6, -10 = 3*v - 5*c. What is the remainder when 52 is divided by v?
2
Let h(o) = o**3 + 18*o**2 + 14*o - 10. Calculate the remainder when 80 is divided by h(-17).
39
Let t(r) = -r**3 + 3*r**2 + 7*r - 6. Calculate the remainder when 18 is divided by t(4).
0
Suppose -4*l = 3*m + 21, 3*l + 2*m + 3*m = -13. Let z(w) be the third derivative of -w**4/24 - w**3/6 + w**2. What is the remainder when 9 is divided by z(l)?
4
Let f(l) = l**3 - 7*l**2 + 6*l - 5. Let h be f(6). Let c = -3 - h. Let j = -8 - -9. Calculate the remainder when c is divided by j.
0
Suppose -35 = -i - 4*i. Calculate the remainder when 13 is divided by i*(8/2 + -3).
6
Let f(d) be the first derivative of -d**4/4 + d**3/3 + 6*d - 1. What is the remainder when 145/9 + 5/(-45) is divided by f(0)?
4
Let w = -1 + 3. Suppose -3*p = -w*p - 13. Let i = -77 - -114. Calculate the remainder when i is divided by p.
11
Suppose 2*v = l - 1 - 3, 0 = 4*l + 5*v - 81. Let d(r) = -r**2 - 8*r + 8. What is the remainder when l is divided by d(-8)?
6
Suppose -3*c = 2*c - 160. Suppose -53 - c = -5*a. Suppose -4*r - x = 2*x - 24, -5*x = r - 6. What is the remainder when a is divided by r?
5
Let y = -4 - -7. Suppose -y*z + 41 = -0*z - 4*i, -z = -3*i - 22. Let g = 16 - z. Calculate the remainder when 26 is divided by g.
8
Suppose -3*k = -5*k - 14. Let z(n) = -n - 2. Let t be z(k). Suppose 55 + 0 = t*f. What is the remainder when 21 is divided by f?
10
Let x = 30 + 7. What is the remainder when 72 is divided by x?
35
Let y = 100 - 85. What is the remainder when 88 is divided by y?
13
Suppose -3*m + 55 = 5*f, 0 = 2*f + f + m - 33. What is the remainder when 40 is divided by f?
7
Let u(x) = 18*x**3 - x**2 + 1. Let p be -1 + 6 + 1 - 1. Let r(m) = -m**3 + 6*m**2 - 3*m. What is the remainder when u(1) is divided by r(p)?
8
Let k be (-1)/1 - (-196)/4. Suppose t = k - 19. Calculate the remainder when t is divided by 15.
14
Suppose -4*l = -59 - 37. Let h = l - 14. Calculate the remainder when 38 is divided by h.
8
Let x = 62 - 44. Calculate the remainder when 88 is divided by x.
16
Suppose 0*b = -l - 2*b + 4, 3 = 2*l - b. Suppose -4*j + 26 = l*i, i + 3 = 2*i. What is the remainder when 9 is divided by j?
4
Let c(s) = -2*s + 4 - 4 + 2 - 5. Let d = 36 - 22. Calculate the remainder when d is divided by c(-4).
4
Let t = 76 - 21. What is the remainder when t is divided by 10*(110/25 - 3)?
13
Let u = -44 - -50. What is the remainder when 14 is divided by u?
2
Let t = 11 + -4. What is the remainder when (-2)/14 + 204/t is divided by 16?
13
Let h(z) = -2*z - 1. Let f be h(-5). What is the remainder when ((-39)/f)/((-3)/9) is divided by 8?
5
Suppose u = -3*u. Let a = u + 2. Suppose 0 = z - a*r - 33 + 11, -3*z - r + 31 = 0. What is the remainder when 22 is divided by z?
10
What is the remainder when 59 is divided by 0/1 + 17 + 3?
19
Let z be 6/18 - (-31)/(-3). Calculate the remainder when 6 is divided by z/(-3) + (-14)/(-21).
2
Let g be (18/27)/((-2)/(-102)). Let l = 3 + -1. Suppose g = l*s - s. Calculate the remainder when s is divided by 12.
10
Let u(q) = -10*q - 3. Let r be u(-4). Let k = r - 23. What is the remainder when k is divided by 8?
6
Suppose j + 13 = 15. What is the remainder when 27 is divided by (-3 + j - -1) + 14?
13
Let q(k) = -k**2 + 2*k + 5. Let n = 10 - 5. Let l be q(n). Calculate the remainder when (16/l)/((-6)/45) is divided by 7.
5
Suppose -3*m + 19 = -2*t, 0*t + 33 = 5*m - 4*t. Suppose 4*f = -q + 7, -m*f - 135 = -5*q - 0*f. What is the remainder when q is divided by 8?
7
Suppose -3*u - x = -u - 49, -3*x = -u + 14. What is the remainder when 1380/21 - (-4)/14 is divided by u?
20
Let v(u) = 5*u + 2. Let b be v(2). Suppose b = -3*j - 0. Let s = 7 - j. Calculate the remainder when 21 is divided by s.
10
Suppose -3*w - 16 = -85. Let v = 0 + 8. Calculate the remainder when w is divided by v.
7
Let b(l) = l**3 + 5*l**2 - l + 4. Suppose 3*f + 19 - 58 = 0. Calculate the remainder when b(-3) is divided by f.
12
Let k = -37 + 63. Suppose r = -r + k. Suppose 32 = -5*x + 157. Calculate the remainder when x is divided by r.
12
Suppose 5*s + 3*r = s + 28, -