*r = -a*r. Suppose -3*i + 12 + 9 = r. What is the remainder when 13 is divided by i?
6
Let u be (-2)/(-1 - (-8)/10). Let b be 54/u - 6/15. Suppose 5*m + 3*v - 44 = 0, -8 = 4*m - b*m - v. Calculate the remainder when 29 is divided by m.
9
Let u = 7 + -3. Let c = 0 + u. Suppose -c*d - 4*h = -36, 2*h + 25 = 3*d + 4*h. What is the remainder when d is divided by 3?
1
Let u = 175 - 104. Calculate the remainder when u is divided by 18.
17
Suppose 2*w - n + 3 = 0, -13 = -3*n + 2. Let u = 2 - 1. What is the remainder when w is divided by u?
0
Suppose -3*g - 12 = -0*g. Let q = g + 12. What is the remainder when ((-30)/7)/(10/(-35)) is divided by q?
7
Let s(r) = -6*r - 12. What is the remainder when 40 is divided by s(-3)?
4
Let i(v) = v**2 - 5*v - 3. What is the remainder when i(7) is divided by 6?
5
Let i = -458 - -678. Calculate the remainder when i/14 + 12/42 is divided by 9.
7
Suppose 0 = -5*z - 3*w + w + 700, 2*z = 3*w + 280. Suppose -a + 6*a = z. Calculate the remainder when 55 is divided by a.
27
Let x(i) = i**2 + 18*i + 36. Calculate the remainder when x(-17) is divided by 9.
1
Let k be (-3 + -1)*(5 - 2). Let u be 2/6 - (-501)/9. Let g = u + k. What is the remainder when g is divided by 15?
14
Let h = 40 + -37. Calculate the remainder when (-2)/6 - 136/(-12) is divided by h.
2
What is the remainder when 20 is divided by -3*((-14)/(-56) - 47/12)?
9
Let f(o) = 19*o**2 + 2*o - 1. What is the remainder when 36 is divided by f(1)?
16
Let x(v) = 22*v**2 - 2*v + 1. Let d(l) = -l**3. Let r be d(-1). Let h = 29 + -18. What is the remainder when x(r) is divided by h?
10
Let u(x) = 54*x + 4. Let y be u(2). Suppose -2*n + y = 2*n. What is the remainder when n is divided by 15?
13
Suppose 5*d - d = 76. Let k = d + -3. Let n = -17 + 48. Calculate the remainder when n is divided by k.
15
Let z(c) = 4*c - 43. Calculate the remainder when 32 is divided by z(15).
15
Let j(w) = w - 5. Let h be j(9). Suppose 0 = 3*z + 15, 2*z + h = -r - 2*z. Suppose t - 5*t + 24 = 0. What is the remainder when r is divided by t?
4
Let o = -23 - -42. What is the remainder when 37 is divided by o?
18
Let s(h) = 2*h**2 - 5*h + 1. Calculate the remainder when s(6) is divided by 11.
10
Suppose -5*j = -9*p + 4*p + 20, 5*p + 4 = -j. Suppose 190 = 5*x - d, -x - 4*d + p + 17 = 0. Let f = 19 - 0. What is the remainder when x is divided by f?
18
Let t = -7 - -11. What is the remainder when t is divided by 2?
0
Let f(w) = -2*w - 9. Let s be f(4). Let z = 20 + s. What is the remainder when 3 is divided by z?
0
Let p(t) = t**2 + 3*t - 6. Calculate the remainder when 149 is divided by p(4).
17
Let g(a) be the third derivative of a**4/24 + 8*a**3/3 - 3*a**2. What is the remainder when 43 is divided by g(7)?
20
Suppose -3 - 9 = 3*r. Let a = r + 9. Let k = -2 + a. Calculate the remainder when k is divided by 1.
0
Let v = 9 + 1. Let z = 6 + -3. Suppose -80 - 16 = -3*u - z*f, 55 = 2*u - f. Calculate the remainder when u is divided by v.
9
Let w = 12 + -16. Let j = w - -8. What is the remainder when 9 is divided by j?
1
Let g = 75 + -35. Let v be (1 + -1)/(-2)*1. Suppose v = c + 2*c - 42. Calculate the remainder when g is divided by c.
12
Suppose 2*w - 168 = 3*m, 0*m - 4*w = -3*m - 168. Let y = m + 102. What is the remainder when (-1 + 4)*y/6 is divided by 12?
11
Suppose -4*h = 2*c - 72, 5*c + 4*h - 22 - 170 = 0. Let y(i) = 5*i + 0 + 1 - 10. What is the remainder when c is divided by y(6)?
19
Let o be (-1 - 1)*6/(-4). Suppose -t - 5*w = -4, o*w = -4*t + t + 12. What is the remainder when (-38)/(-6) + 2/(-6) is divided by t?
2
Suppose 4*v - 13 = 7. Let r be ((-2)/1 - -1)*-5. Suppose -r*p = -2*j - 1 - 22, 5*p - 27 = 3*j. What is the remainder when v is divided by p?
2
Let j be 21*(0 - 7/3). Let b = j + 90. Suppose -5*x + b = 1. Calculate the remainder when x is divided by 5.
3
Let u be (2 + -4)/(2/(-5)). Suppose 3*n = -u*a + 142 + 37, 2*a = 2. What is the remainder when n is divided by 20?
18
Let d = 0 + 6. What is the remainder when d is divided by 2?
0
Suppose 0*p = 5*p - 30. Calculate the remainder when p is divided by 4.
2
Let x(i) = 6*i. Let q be x(-1). Let g be (76/q)/(1/(-3)). Let r = g + 3. What is the remainder when r is divided by 14?
13
Suppose 0 = 3*g + c - 14, -3*g - c = -6*c + 16. What is the remainder when g is divided by 3?
0
Suppose -2*r - r + 12 = 0, -a = 4*r - 30. Suppose -5*y + 382 = -3*y. Suppose -5*v + 4 = -y. What is the remainder when v is divided by a?
11
Suppose -i = -1, 5*k - 2*i - 12 = i. Suppose 2*a - 200 = -k*a. Suppose 19 - 75 = -4*w. What is the remainder when a is divided by w?
12
Suppose 0 = -18*i + 7*i + 99. Let o(s) = -s**2 + 17. What is the remainder when o(0) is divided by i?
8
Let d = 9 + -27. Let j = d - -26. Let t(x) = -23*x. What is the remainder when t(-1) is divided by j?
7
Calculate the remainder when 0 + -2 + (-114)/(-3) is divided by 20.
16
Let h(g) = -2*g**3 - g**2 + g - 6. What is the remainder when 18 is divided by h(-2)?
2
Suppose 4*g + 0*g - 64 = 0. What is the remainder when 61 is divided by g?
13
Let g(w) = -14*w + 24. What is the remainder when g(-7) is divided by 31?
29
Let p(u) = -12*u - 8. Let o(x) = -12*x - 9. Let a(m) = -5*o(m) + 6*p(m). What is the remainder when a(-2) is divided by 11?
10
Let z = 95 + -85. What is the remainder when z is divided by 3?
1
Let y(p) = 2*p**3 + p**2 - 2*p + 1. Suppose 2*v + 3*v = 5. Let o be y(v). Suppose 31 = o*t + 1. What is the remainder when 43 is divided by t?
13
Suppose -o - 5*p = -26, 3*o - 11 = 4*p + 67. Calculate the remainder when 49 is divided by o.
23
Suppose -4*g = 5*t - 321, -4*t = 5*g - 6*t - 360. What is the remainder when g is divided by 19?
17
Let v = -27 + 33. Calculate the remainder when 40 is divided by v.
4
Suppose -18 = -5*r + 4*i + 4, -4*r + i = -22. Let p = r - -9. Suppose 3*c - 4*l - 8 = p, -5*c + 35 = -5*l. What is the remainder when 8 is divided by c?
3
Let v(u) = -47*u. Let p be v(-1). Suppose -4*n = -10 - 6. Suppose -5*g + n*s = -p, 2*g = -2*s - s + 5. What is the remainder when 13 is divided by g?
6
Let z = 10 - -92. Calculate the remainder when z is divided by 15.
12
Let g(n) be the second derivative of -n**4/12 - n**3/6 + 29*n**2/2 - 7*n. What is the remainder when 56 is divided by g(0)?
27
Let x(n) = n**2 - 5*n - 3. Let j be x(6). Suppose j + 3 = 3*o. Suppose -2*q + 148 = o*q. Calculate the remainder when q is divided by 13.
11
Suppose -r - 36 - 7 = 0. Calculate the remainder when (-2)/2*(r - -8) is divided by 12.
11
Let w be (-6)/(1 - -2) - -2. Suppose 0*l + 2*l - 6 = w. What is the remainder when 10 is divided by 0 + l/((-6)/(-8))?
2
What is the remainder when 39 is divided by ((-2)/3)/(2/(-33))?
6
Suppose -2*z + 0*z = -48. Suppose p + p = z. Calculate the remainder when (2 + (-4 - 3))*(0 - 7) is divided by p.
11
Suppose -4 = -5*q + 6. What is the remainder when 4 is divided by q?
0
Suppose -3*s + 0*p + 201 = 2*p, 5*s = -2*p + 331. Let c = 27 - 5. What is the remainder when s is divided by c?
21
Suppose 0 = -o - 12 + 49. Let c(q) = 141*q + 3. Let j be c(-2). What is the remainder when o is divided by j/(-21) - (-4)/(-14)?
11
Suppose -7*t + 275 - 72 = 0. Suppose 40 = 4*m + 3*r - 2*r, -3*m - 4*r + 30 = 0. Calculate the remainder when t is divided by m.
9
Suppose -4*s - 48 = -2*i, 1 + 22 = -3*s - 5*i. Let k = 14 + s. Let d = 20 + -12. What is the remainder when d is divided by k?
2
Let r(u) = 0*u + 7 + 6*u**2 + u - 6*u - u**3. Let d(a) = a**3 + 6*a**2 - 2*a - 9. What is the remainder when r(5) is divided by d(-6)?
1
What is the remainder when 107 is divided by 21 - -1 - -4 - 4?
19
Let m = 8 + -4. What is the remainder when 5 is divided by m?
1
Let y = -95 - -99. Suppose 5*w + 5*m - 22 - 23 = 0, -4*w - 5*m + 32 = 0. Let a = w + -7. Calculate the remainder when a is divided by y.
2
Let d(p) = -219*p**3 - p**2 + 2*p - 1. Let a be d(1). Let z = 19 + -11. Calculate the remainder when 4/10 + a/(-15) is divided by z.
7
Let z = 50 - -18. Calculate the remainder when z is divided by 18.
14
Let t(w) = -w**3 + 8*w**2 + 9*w + 12. Calculate the remainder when 68 is divided by t(9).
8
Suppose o = -3*o + 284. What is the remainder when o is divided by 25?
21
Suppose 0*n + 119 = -4*i - n, -4*n - 12 = 0. Suppose -159 - 137 = 4*o. Let m = i - o. What is the remainder when m is divided by 16?
13
