) is divided by 17.
15
Suppose -12 = 2*o + o. Let n = o + 11. Let g(t) = -t**3 - t**2 - t + 13. Calculate the remainder when g(0) is divided by n.
6
Let v be (-4)/10*1*-5. Suppose -5*q - 2*j = -10*q + 44, -v = -q - 3*j. What is the remainder when q is divided by (-13)/(-5) - (-2)/5?
2
Let g be 1/(-4) - 119/(-28). Suppose -7*v + 33 = -g*v. What is the remainder when v is divided by 4?
3
Suppose -n = 3*m - 31, 3 + 44 = 3*m + 5*n. What is the remainder when 40 is divided by m?
4
Suppose 0 = 3*n - 606 + 54. Suppose 3*b = -b + n. What is the remainder when b is divided by 12?
10
Calculate the remainder when (-16)/(-28) + (-87)/(-7) is divided by 7.
6
Let h = 21 + -8. Suppose 0 = 2*k - 6*k + 16. What is the remainder when h is divided by k?
1
Let h(s) = s. Let b be h(-3). Let j(o) = -2*o - 2. Let n be j(b). Suppose -n*v + 12 + 56 = 0. Calculate the remainder when 32 is divided by v.
15
What is the remainder when 30 is divided by (-10)/(-10)*1*8?
6
Let c(n) be the first derivative of n**4/4 + n**3/3 + n**2 - 3*n + 6. Suppose 0*y = 4*y - 56. What is the remainder when c(3) is divided by y?
11
Let i(n) = -n**3 - 5*n**2 + n + 4. Let l be i(-4). What is the remainder when 37 is divided by l/3*(-15)/4?
17
Let b(w) = -w**3 - 5*w**2 + 2*w - 1. Suppose 10 = -3*o - 5. Let t be b(o). Calculate the remainder when 14 is divided by 0 + -1 - (t + 2).
6
Suppose -7*g + 2*g = -90. What is the remainder when 31 is divided by g?
13
Suppose -3*a + 74 + 73 = 0. Let s(o) = o**3 + 7*o**2 - 10*o + 1. Calculate the remainder when a is divided by s(-8).
15
Suppose -o - 23 - 21 = -3*x, 5*x = o + 72. Let g = 38 + 3. Calculate the remainder when g is divided by x.
13
Suppose -3*b + 75 = -0*b. Suppose 0 = -4*d - 15*d + 133. Calculate the remainder when b is divided by d.
4
Let m(j) = j**2 + 2*j - 24. What is the remainder when 19 is divided by m(-7)?
8
Suppose k = 5*k - 8. Suppose 0 = k*q - 26 - 12. What is the remainder when 37 is divided by q?
18
Let t(g) = -g**3 + 7*g**2 - 6*g - 2. Let w be t(6). Let z be w/3 - (-15)/9. What is the remainder when 9 is divided by 5*-2*z/(-2)?
4
Let x(r) = r**3 - 12*r**2 + 4*r - 13. Calculate the remainder when x(12) is divided by 12.
11
Suppose 10*d = 5*d + 20. Suppose -d*p - k + 70 = 0, -p - 2*k - 64 = -5*p. Calculate the remainder when 50 is divided by p.
16
Let o(a) = a. Let z be o(-1). Let g = -3 - z. Let p = g - -5. What is the remainder when 4 is divided by p?
1
Let n be (2 + -2 + 0)/(-2). Let j(l) = 17 - 2*l - l**2 + l + 2*l. Calculate the remainder when j(n) is divided by 5.
2
Suppose 0 = -5*t - 2*g + 16, 4*g - 8 = -3*t - t. Suppose 50 = w - 3*a - 3, -4*w + 172 = -t*a. Calculate the remainder when w is divided by (-1 + 15 - 1) + 0.
12
Suppose c + 26 = u - 4*u, 4*u + 22 = 5*c. Let j(p) = -p**3 - 8*p**2 - p - 3. Calculate the remainder when 8 is divided by j(u).
3
Let d(s) = -29*s + 22. What is the remainder when d(-6) is divided by 33?
31
Suppose i - 6*i + 70 = 5*u, 5*i = -u + 86. Suppose 60 = 3*q - i. What is the remainder when q is divided by 9?
8
Let l(s) = 8*s + 5. Calculate the remainder when l(4) is divided by 19.
18
Suppose 0 = 6*x - 372 + 54. Calculate the remainder when x is divided by 19.
15
What is the remainder when 37 is divided by -1 + 4 + 2 + 2?
2
Suppose -5*n + k + 50 = 0, -25 = -8*k + 3*k. Suppose -2*a + 3*c = -72, -4*c + 4 = -5*c. Calculate the remainder when a is divided by n.
8
Let k(s) = -s**2 - 8*s + 6. What is the remainder when 2 - -32 - (5 + -5) is divided by k(-6)?
16
Suppose -36 = -4*c + 4*y, 3 - 44 = -4*c - y. Suppose -115 = -3*n - 2*j, 0 = 5*n - 4*j + j - 179. Calculate the remainder when n is divided by c.
7
Let x = 164 - 123. Calculate the remainder when x is divided by 9.
5
Let n = -6 + 10. Let s(b) = -b**3 + 5*b**2 + 3. Let h = -37 + 92. What is the remainder when h is divided by s(n)?
17
Suppose v + 10 = 6*v. Suppose 18 = v*t + t. Let q(r) = r**2 - 5*r + 3. Calculate the remainder when 26 is divided by q(t).
8
Let s(z) = -5*z + 2. Let f(q) = -21*q - 208. Calculate the remainder when f(-13) is divided by s(-3).
14
Suppose -4*p - 5*u = -62, 2*p - u = 2*u + 20. Calculate the remainder when 63 is divided by p.
11
Let w = -57 - -89. What is the remainder when 126 is divided by w?
30
Suppose 0*m + 4 = 2*u - 4*m, -4*u + m + 36 = 0. Let c = 16 - u. What is the remainder when c is divided by 4?
2
Let b(l) = l**3 + 18*l**2 + 16*l + 5. Calculate the remainder when 40 is divided by b(-17).
18
Suppose 0 = -4*c - 2*a + 180, -4*c = -3*c - 2*a - 45. Calculate the remainder when c is divided by 24.
21
Let z = -3 + 7. Let y = 9 - z. Suppose 7 = 5*b - 8. Calculate the remainder when y is divided by b.
2
Let w = 21 - 3. Suppose -f + w = -14. Calculate the remainder when f is divided by 17.
15
Suppose -3*b + 1 - 7 = 0. Suppose o + 20 = 2*o. Calculate the remainder when o is divided by ((-11)/b)/(1/2).
9
What is the remainder when (-9)/18*4/6*-207 is divided by 24?
21
Suppose 2*m - 25 = 67. Calculate the remainder when m is divided by 24.
22
Let u = -2 - -7. Suppose 4*r = 17 - u. What is the remainder when 20 is divided by (-1)/(0 + r)*-33?
9
Let f be 8/(-36) - 94/(-18). Let d be (2/f)/((-1)/(-530)). Suppose -5*z + d = -z. What is the remainder when z is divided by 18?
17
Let t = -91 - -262. What is the remainder when t is divided by 29?
26
Suppose -8*c + 3*c = -2*j + 56, 0 = j + c - 35. What is the remainder when j is divided by 12?
9
Suppose 5*r = 2*r - 5*f + 29, 11 = r + 2*f. Suppose 0 = 3*w - w - 6. Suppose -2 = 3*b + 2*z, 5*b - w - 15 = 2*z. What is the remainder when r is divided by b?
1
Suppose 112 = t + 2*t + 5*r, 0 = -4*t + 5*r + 161. Calculate the remainder when 155 is divided by t.
38
Suppose 62 = 4*w - 0*w + 2*r, 0 = -r + 3. Calculate the remainder when 41 is divided by w.
13
Let q(l) = 2*l + 3. What is the remainder when 51 is divided by q(5)?
12
Let w = 10 + -16. Let r = w - -8. Calculate the remainder when 1/(-3) - (-7)/3 is divided by r.
0
Let g = 47 - 35. Suppose 5*d = -w + 2*w - 47, 2*w + 5*d = 19. What is the remainder when w is divided by g?
10
Suppose 21*a - 17*a = 36. What is the remainder when 13 is divided by a?
4
Let f(r) = 0*r + r - 2*r**3 + 2 - 1 - 2*r**2. Let a be (0 - -1)*(-3 + 1). What is the remainder when 26 is divided by f(a)?
5
Suppose 3*t = -o + 6, -3*t = 3*o - 5*t - 73. What is the remainder when o is divided by 4?
1
Let d(t) = -t + 5. What is the remainder when 24 is divided by d(-4)?
6
Suppose 4*w + 16 = 8*w. What is the remainder when 6 is divided by w?
2
Let f(l) = 8*l - 2. Let j be f(8). Suppose 5*u + 5*z - j + 7 = 0, 4*u - 40 = -3*z. What is the remainder when u + 7 - (0 + 3) is divided by 3?
2
Let w(z) = z**3 - 1 - 5*z**2 - 10 - 3*z**2 + 4*z. What is the remainder when w(8) is divided by 8?
5
Suppose 3*z - 79 = -5*l, 3*l - z - z - 36 = 0. Suppose 5*i - 30 = -3*r - 2*r, 2*r - 3*i - 12 = 0. What is the remainder when l is divided by r?
2
Let f(l) = -32*l**2 + 4*l - 2. Let v be f(2). Let y = v - -281. Suppose -2*c = c - y. Calculate the remainder when c is divided by 18.
17
Let z(v) = -11*v**3 + v**2. Let g(d) be the first derivative of -d**3/3 + 7*d**2/2 - 3*d - 1. Calculate the remainder when z(-1) is divided by g(5).
5
Suppose 6*o - o + 3*b = 58, 4 = -b. Calculate the remainder when 27 is divided by o.
13
Suppose 2*d + 2*u = 6*u + 72, -d + 27 = u. Calculate the remainder when 54 is divided by d.
24
Suppose 2*m - 4*m + 10 = 0. Suppose -8 = h - 5, 3*h + 49 = m*x. Calculate the remainder when 10*(-6)/(-4) - 0 is divided by x.
7
Suppose -174 = -5*t - m + 21, -2*t - 4*m = -78. Calculate the remainder when t is divided by 6.
3
Let j = -3 + 6. Suppose 0 = -j*c - c + 28. Suppose 4*d - 243 = -c. What is the remainder when d is divided by 20?
19
Let t(h) = 2*h**2 + 3*h + 1. Let l be t(-2). Suppose -4*s + 23 = r, -2*r - l*r + 166 = 3*s. What is the remainder when r is divided by 9?
8
Suppose i - 29 = 5*f - 5, 2*i = 4*f + 60. Calculate the remainder when i is divided by 20.
14
Suppose 0*s + 40 = 2*s. What is the remainder when 77 is divided by s?
17
Let g(z) = -z**3 - 2*z**2 - 2*z + 4. Let f(d) = -d - 5. Let w be f(-4). Calculate the remainder when g(-3) is divided by 4/(-12)*21*w.
5
Calculate the remainder when 39*((-10)/3 + 4) is divided by 9.
8
Let w = 363 - 240. What is the remainder wh