t p be q(2). What is the remainder when 18 is divided by (20/3)/(p/x)?
8
Let c = -8 - -8. Let y be (17 + c)*(3 + -4). Let o = 30 + y. What is the remainder when 37 is divided by o?
11
Let b(r) = -2*r**2 - 3*r - 1. Suppose 3*l - 27 = 5*y, 0*l + 3*l - 24 = 4*y. Let g be b(l). What is the remainder when -3 - (-6)/3 - g is divided by 15?
14
Let w(v) = 2*v**2 - 3*v - 5. What is the remainder when w(-4) is divided by 10?
9
Suppose -110 = -4*t + 110. Let v(r) = -r**3 - 8*r**2 - 4*r + 7. Let b be v(-7). Let s = b + 33. Calculate the remainder when t is divided by s.
17
Suppose 2*c + v = 81, -v + 0*v - 171 = -4*c. Suppose 3*q + 5*i = c, 0 = 4*i - 5 - 7. Let p = 24 - 7. What is the remainder when p is divided by q?
8
Suppose -124 = -24*y + 20*y. Calculate the remainder when y is divided by 11.
9
Suppose 8*r = 9*r - 19. Calculate the remainder when r is divided by 7.
5
Calculate the remainder when 62 is divided by ((-2)/4)/((-8)/(-16)) - -14.
10
Suppose 5*t - 99 = 96. Let d = -89 - -103. What is the remainder when t is divided by d?
11
Suppose -j + 37 = 5*o, 8 = 3*o - o - 3*j. Let b be 8/(o/(105/6)). Suppose -4*v = -b, q - v - 24 = -4*v. Calculate the remainder when 16 is divided by q.
7
Suppose -27*y + 54 = -24*y. Calculate the remainder when 71 is divided by y.
17
Let g = 4 + 28. Let f = 53 - g. Calculate the remainder when 83 is divided by f.
20
Let v(g) = g**2 - 5*g + 3. Let l be v(6). What is the remainder when 6/l - (-100)/3 is divided by 12?
10
Suppose 4*s - 8 = -5*j + 18, 3*s - 17 = -5*j. What is the remainder when 29 is divided by s?
2
Let u(b) = 2*b**2 - 3. Calculate the remainder when 14 is divided by u(-2).
4
Calculate the remainder when 23 is divided by 3/(4/12*1).
5
Suppose 5*s - k = 64, -s + 4 = k - 4. What is the remainder when (4/3)/(278/69 + -4) is divided by s?
10
Let p(i) = -11*i + 5. Calculate the remainder when p(-2) is divided by 10.
7
Suppose 3*t + 1 = 4*r, r + 24 = 4*t + 8. What is the remainder when 14 is divided by t?
4
Let f be 1 - 2 - (-1 + 0). Let m = f + 45. Calculate the remainder when m is divided by 1*(17 - 36/(-6)).
22
Suppose 3*u - 35 - 70 = -c, 0 = 2*u + c - 69. Suppose 0*i = 4*i + u. Let n = -2 - i. What is the remainder when n is divided by 3?
1
Let j = 14 + -5. Calculate the remainder when 34 is divided by j.
7
Let a(q) be the second derivative of q**4/12 + q**3/3 + 2*q**2 + 3*q. What is the remainder when a(-6) is divided by 15?
13
Suppose -23 = -d + 4. Suppose i = 5*j, -4*i + 3*i = 4*j - d. Calculate the remainder when i is divided by 4.
3
Let w(f) = -f**2 - 12*f + 3. Let h be w(-12). Calculate the remainder when (h - (3 + -2)) + 26 is divided by 15.
13
Let r = -14 - -23. Let l = r + 5. Calculate the remainder when 27 is divided by l.
13
Suppose 0 = 2*n - 9 + 63. Let t = 64 + n. Calculate the remainder when t is divided by 13.
11
Suppose -5*b = i - 223, -2*b - 5*i = -4*b + 73. Calculate the remainder when b is divided by 15.
14
Let i(t) = 3*t + 3. Let q be i(-3). What is the remainder when 36 is divided by 188/20 + q/(-10)?
6
Let z(o) = -o**3 - 6*o**2 + 4*o - 4. Suppose 3*t + 2*u = 2*t - 7, 35 = -5*t - 5*u. Calculate the remainder when z(t) is divided by 9.
8
What is the remainder when (-92)/(-5) - 2 - 4/10 is divided by 5?
1
Let r be 1 - 12/(2*-1). Let q = r + -4. Suppose -3*d + k + 17 = 0, 3*d - 5*k = 28 - 3. Calculate the remainder when d is divided by q.
2
Let x(c) = -6*c. What is the remainder when 51 is divided by x(-3)?
15
Let g(h) = 11*h. Suppose 0 = l + 3*l - 4. Calculate the remainder when (-4)/14 - 226/(-7) is divided by g(l).
10
Let h = -95 - -149. Calculate the remainder when h is divided by 8.
6
Suppose -q + 1 = 0, 4*m - 4*q - 46 = -m. Let l = 0 + m. What is the remainder when 39 is divided by l?
9
Suppose -5*o + 2*w = -0*w - 260, 4*o - 195 = -w. What is the remainder when o is divided by (2 - 0)*(-26)/(-4)?
11
Suppose n + 4 = 6. Suppose -114 = -n*l - 0*l. Calculate the remainder when l is divided by 20.
17
Let f = 6 + 16. Calculate the remainder when f is divided by 8.
6
Let h(o) = -4*o - 4. Let t be h(-4). Let s(l) = -3*l - 6. Let j be s(-3). Let z = j + t. What is the remainder when 28 is divided by z?
13
Suppose 4*a - 8*a = -4*q + 432, 5*q - 508 = -3*a. Calculate the remainder when q is divided by 35.
34
Let c = 3 + -2. Let w be (1/2)/(c/4). Suppose 2*d = -w*d + 84. What is the remainder when d is divided by 11?
10
Let i(v) be the third derivative of v**6/120 + 2*v**5/15 - 11*v**4/24 + 2*v**3/3 + 4*v**2. Calculate the remainder when i(-9) is divided by -2*(-4*1 + 0).
6
Suppose 80 = 6*x - 160. Calculate the remainder when x is divided by 14.
12
Let c = -76 + 110. Suppose -2*h - 2*h = 4*n - 320, 5*h - 404 = -n. Suppose -5*m + c = -h. What is the remainder when m is divided by 12?
11
Let r = -35 + 51. Suppose -7 - 11 = 2*b. Let h = -3 - b. What is the remainder when r is divided by h?
4
Suppose k - 24 = 3*k. Let d = k - -55. Calculate the remainder when d is divided by 11.
10
Suppose -41 - 26 = -3*m + 5*l, 0 = -3*m - 4*l + 76. Calculate the remainder when m is divided by 9.
6
Calculate the remainder when (12/(-8))/(3/(-10)) is divided by 4.
1
Let x = 217 + -161. What is the remainder when x is divided by 19?
18
Suppose p + 3 - 12 = 0. Let g = -3 + 13. Suppose 5*k - g = 10. Calculate the remainder when p is divided by k.
1
Suppose 3*w + 350 = 8*w. Calculate the remainder when w is divided by 12/18 - (-104)/6.
16
Suppose w = 4*w. Suppose 4*i + 5*t - 3 = 16, w = 5*i + 2*t - 11. What is the remainder when 46 is divided by (24/i)/(3/2)?
14
Suppose 3 - 9 = -3*a. Suppose 4*n + 1 = -3*r, a - 9 = n + 3*r. Suppose -17*o = -14*o - 6. Calculate the remainder when o is divided by n.
0
Calculate the remainder when 24 + 8/2 + -2 is divided by 7.
5
Let f be (-68)/(-7) + (-18)/(-63). Let b = f - -56. Calculate the remainder when b is divided by 17.
15
Let n = -49 - -85. Suppose -n - 22 = -2*t. Calculate the remainder when 56 is divided by t.
27
Suppose -14 = -2*x + 22. What is the remainder when 176 is divided by x?
14
Suppose 2*h - 4 = 0, -5*f - 5*h + 14 = -41. Let j = 13 - 5. Suppose j = 2*b, -2*b + 9 + 16 = o. What is the remainder when o is divided by f?
8
Let q be (-2 - -1) + -3 + 5. Let d = q + 11. Calculate the remainder when 22 is divided by d.
10
Suppose 0*t - 5*t = -5. Let a be 1 + t*-1*3. Let i(d) = -2*d**3 - 2*d**2. What is the remainder when 23 is divided by i(a)?
7
Suppose -2*s - 3*h = -70, 2*s + 30 - 92 = -h. Let t(j) = -j**3 - 3*j**2 - j - 4. What is the remainder when s is divided by t(-4)?
13
Suppose -24 = v - 63. Calculate the remainder when 152 is divided by v.
35
Let o(m) = -6*m**2 + 4*m - 2. Let d be o(2). What is the remainder when 340/9 - 4/d is divided by 10?
8
Suppose 6 = 5*z - 2*z. Let x(h) = -3*h**2 - h + 1. Let o(q) = -16*q**2 - 4*q + 6. Let y(i) = z*o(i) - 11*x(i). What is the remainder when y(3) is divided by 10?
9
Let c(d) = -d + 4. Let r be c(3). Let v = 3 - r. Calculate the remainder when 3 is divided by v.
1
Let a be (5 - 4) + 3/1. Suppose -a*f + 41 = -2*f + 5*x, 4*f - 49 = x. What is the remainder when 36 is divided by f?
10
Let h = -13 + 7. Let t(i) = -8*i + 2. Let d(r) = -3*r + 2. What is the remainder when t(h) is divided by d(-5)?
16
Suppose d = -d. Suppose -4*f + f + 9 = 0. What is the remainder when (-1 - -6 - d) + -1 is divided by f?
1
Let g(a) = -5*a - 9. Calculate the remainder when 81 is divided by g(-6).
18
Let q(m) = 7*m**2 + m - 1. Suppose 3*g - 2*b + 3 = 0, 5*g - 5*b = -0*b. Calculate the remainder when (-2*1 - g)*13 is divided by q(1).
6
Suppose 5*n - n = 4*j + 40, 4*n + 23 = -5*j. Calculate the remainder when 2/j + (-876)/(-28) is divided by 11.
9
Let a(d) = d**3 - 3*d**2 + 2*d - 1. Suppose -50 = w - 6*w. Suppose 5*q + 3*j - 71 = 0, 2*j + 45 = 3*q + w. Calculate the remainder when q is divided by a(3).
3
Let n(f) = f**3 - 7*f**2 + 4*f + 6. Let s be n(6). Let z(a) = -a + 6*a**2 + 5*a**3 - a**3 - 2 - 3*a**3. What is the remainder when z(s) is divided by 2?
0
Let r be -2 - -8 - (-1 + 1). Let n(b) be the second derivative of b**4/12 - b**3/2 - b**2/2 - 2*b. What is the remainder when n(r) is divided by 9?
8
Suppose -3*x = 4*c - 2*c - 23, -2*c - 17 = -5*x. Let b = -76 + 90. What is the remainder when b is divided by x?
4
Suppose 2*x - 26 = -0*x. Let s = 40 + -98. 