by f.
2
Let y = 214 - 196. What is the remainder when 125 is divided by y?
17
Let p be 2/4*(2 - -2). Suppose 0 = -p*x - 2*x + 56. Let d = 68 - 13. Calculate the remainder when d is divided by x.
13
Let g be (8/24)/(1/21). Suppose -3*r + 80 = 4*s, 5*s - g = 3. Calculate the remainder when r is divided by 13.
11
Suppose -4*n - 4*p = -16, -16 = -4*n + p - 3*p. Calculate the remainder when 25 is divided by n.
1
Suppose -2*u + 5*r = 27, -3*u + 5*r - 20 - 8 = 0. Suppose -3*q + 5*q - 4 = -5*f, -5*q + f = -37. What is the remainder when (-19)/u + 0/(-1) is divided by q?
5
Suppose 4*r = 4*o + 60, 0*r + 39 = 3*r - 5*o. Suppose 3*a - a - h - r = 0, 2*a - 5*h - 10 = 0. What is the remainder when 28 is divided by a?
8
Let d(c) = c**2 + c + 1. Suppose 0 = 2*u - 6*u + 8. Suppose 5*q - 66 = -u*h, 24 = q + 3*h + h. What is the remainder when q is divided by d(-3)?
5
Let g(v) = -v**3 - 2*v**2 + 2*v + 4. Calculate the remainder when 81 is divided by g(-4).
25
Let h(u) = 3*u**3 - 3*u**2 + 2. What is the remainder when 55 is divided by h(2)?
13
Let h(r) = -6*r - 7. Let v be h(-2). Suppose -v = -3*b + 10. Calculate the remainder when 6 is divided by b.
1
Let s = -27 - -38. Let p(t) = t**3 + 5*t**2 - t - 1. Calculate the remainder when p(-3) is divided by s.
9
Suppose -2 = -v - 0*v. Suppose 2*a - 2 = -t, 4*t - a + v*a = 1. Suppose t = y - 4 - 5. Calculate the remainder when y is divided by 5.
4
Suppose 0 = -5*v + 3*h + 40 + 54, 2*h = -v + 11. Calculate the remainder when 48 is divided by v.
14
Suppose -230 = -4*h - 26. Let f = -21 + 30. Suppose 4*k - f - h = 0. Calculate the remainder when 29 is divided by k.
14
Let o be (3/(-9))/((-4)/(-12)). Let q = o - -14. What is the remainder when 36 is divided by q?
10
Suppose 0 = -w + 3. Suppose 27 = w*a - 141. Let o = -37 + a. What is the remainder when o is divided by 7?
5
Suppose 0 = 3*p - 11 - 1. Suppose -12 = -3*c - 0*c. Suppose c*o + 8 = p*b, -4*b - 2*o + 0*o = -8. What is the remainder when 3 is divided by b?
1
Suppose f = -u - 0*u - 23, 0 = -f - 5*u - 7. Let v = 0 - f. Let s(a) = 7*a**2 + 4*a + 1. What is the remainder when s(-3) is divided by v?
25
Suppose 5*a - 212 = 3*l, -3*a - 26 = 3*l - 134. Suppose -4*r = -0*r - 12, 0 = -4*k - r + 87. What is the remainder when a is divided by k?
19
Suppose -5*n - 69 = -5*t + 2*t, -3*n - 81 = -4*t. What is the remainder when 65 is divided by t?
11
Suppose 3*c - z - 149 = 0, 246 + 8 = 5*c + 4*z. Calculate the remainder when c is divided by 1*(-16 + -1)*-1.
16
Suppose -2*o - 1 = 5. Let j = 6 + o. What is the remainder when 10 is divided by j?
1
Let l = 4 + 4. Let o = -81 - -84. Calculate the remainder when l is divided by o.
2
Let a(w) = -4*w**3 - 2*w**2 + 4. Let k(d) = 4*d**3 + 2*d**2 - 3. Let x(t) = -4*a(t) - 5*k(t). What is the remainder when x(-2) is divided by 12?
11
Let c = -33 + 70. Suppose -3*h + 59 = 2*b, 137 = 5*b - 2*h + c. What is the remainder when 64 is divided by b?
20
Suppose -7*t = -6*t - 16. Calculate the remainder when 91 is divided by t.
11
Let s be (-7)/(-1 - (-8)/10). Let b = -24 + s. Suppose 6*g - 31 = 5*g. What is the remainder when g is divided by b?
9
Let l = -1 - -4. Suppose -f = l*f. What is the remainder when 8 is divided by (1 - f)*(3 - 0)?
2
Let o(b) = b**2 - 8*b - 14. Suppose 22 = -8*a + 10*a. What is the remainder when o(a) is divided by 10?
9
Let f(v) be the second derivative of -v**5/20 + 5*v**4/12 + v**3/6 - 3*v**2/2 + 7*v. What is the remainder when 2 is divided by f(5)?
0
Suppose -31 = t - 0*t. Let u = 68 + t. What is the remainder when u is divided by ((-1)/2)/(2/(-76))?
18
Let p = -22 + 39. Let n(g) = -g + 4. Let s be n(4). Suppose -u + 31 = 5*d, s = 3*d + 2*u - 6*u - 14. Calculate the remainder when p is divided by d.
5
Let n be 1/(-6) + 581/(-42). Suppose -2*i = -1 - 7. What is the remainder when (n/10)/(2/(-10)) is divided by i?
3
Suppose -n = -z + 24, -4*z - n = -4*n - 97. What is the remainder when z is divided by 7?
4
Suppose -15 = -k - 4*k. Suppose -k*q = -c - 16, 3*q + 4*c = -q. Calculate the remainder when 10 is divided by q.
2
Let z = 11 - 7. Suppose -21 = -k - 3*n, -k = -5*n - 5 + 8. Calculate the remainder when k is divided by z.
0
Let w = -32 - -83. Let n = 8 + 10. What is the remainder when w is divided by n?
15
Suppose -4*g - h + 5 = -3*g, 2*g - 4*h = -20. Suppose 0*n - 2*n = g. Suppose n*t - 3*t + 12 = 0. What is the remainder when 10 is divided by t?
2
Suppose 12*l = 13*l. Suppose -13 = -2*w + w. Suppose l = t - 5*i + 12, 2*t + 4 - w = -i. What is the remainder when t is divided by 2?
1
Suppose -8*b + 12 = -4*b. Let g be (39/b)/(-1)*-1. Suppose -g - 11 = -3*v. What is the remainder when 23 is divided by v?
7
Let h be ((-24)/20)/((-6)/(-40)). What is the remainder when 62*((-4)/h + 0) is divided by 16?
15
Suppose 0 = -5*g - 33 + 113. Suppose 5*f = 69 + g. Let n(q) = -q**3 + 3*q**2 + 4*q - 6. What is the remainder when f is divided by n(3)?
5
Let x(v) = -12*v. What is the remainder when 22 is divided by x(-1)?
10
Let h = 78 + -69. Calculate the remainder when -2 + 24 + 2/1 is divided by h.
6
Let z(a) = a**2 - 3*a. Let h(n) = n**2 + 6*n. Let w be h(-5). Let o = 42 - 28. Calculate the remainder when z(w) is divided by o.
12
Let p(f) = f**2 + 3*f + 2. Suppose 0*i + 4 = i. What is the remainder when p(i) is divided by 8?
6
Let h = 5 + 1. Let s(y) = y + 13. What is the remainder when (-8)/2*(-9 - 0) is divided by s(h)?
17
Suppose -j - 8 = -2*j + 5*o, 3*o - 68 = -5*j. Calculate the remainder when 12/(-8) + 395/10 is divided by j.
12
Let h = 20 + 8. Suppose -m + 11 = -2*k - 4, 0 = -2*m + 5*k + 30. What is the remainder when h is divided by m?
13
Let j = 53 - 39. Calculate the remainder when 45 is divided by j.
3
Let j(q) = q**3 - q**2 + 2*q. Let a be j(3). Let d = 38 - a. Let w(f) = f**3 - 5*f**2 - f - 3. What is the remainder when w(6) is divided by d?
13
Suppose i + 21 = 2*i. Let u(b) = -4*b**2 - 13*b - 5. Let x(j) = -j**2 - 3*j - 1. Let z(d) = 2*u(d) - 9*x(d). Calculate the remainder when i is divided by z(-4).
10
Let s be 595/28 + 3/4. Let d = -7 + s. What is the remainder when 29 is divided by d?
14
Suppose -3*v = 4*s + 136 + 210, 0 = 3*v - 5*s + 310. What is the remainder when ((-8)/10)/(4/v) is divided by (1/2)/(2/48)?
10
Let y(w) = w - 7. Let j be (-3 - -5) + 2*-1. Calculate the remainder when (-17)/(-1) - (j - 2) is divided by y(14).
5
Let b(p) = 3*p - 10. Suppose -88 = -6*a + 10*a. What is the remainder when b(7) is divided by 4/a + (-92)/(-22)?
3
Let u = -5 - -9. Suppose -5*z = -0*h + 5*h - 5, 0 = h + u. Let g(t) = -7*t**3 + t**2 + t + 1. What is the remainder when g(-1) is divided by z?
3
Suppose 7*g - 396 = -2*g. Calculate the remainder when g is divided by 8.
4
Let z(u) = 2*u + 8. Let k = -32 - -43. What is the remainder when z(6) is divided by k?
9
Let l = 6 + -9. Let y = l - -5. Calculate the remainder when 17 is divided by (-54)/(-6) + -1 + y.
7
Suppose 0 = -3*s - 5*b - 270, 2*s + b + 180 = -0*s. Let c = -53 - s. Calculate the remainder when c is divided by 13.
11
Let d = -33 + 67. Let t(f) = -f**3 + 13*f**2 - 11*f - 9. Let r be t(12). Suppose -r*y + 36 = -y. Calculate the remainder when d is divided by y.
16
Let s = 102 + -73. Calculate the remainder when s is divided by 15.
14
Let r(q) = q + 1. Suppose 0 = -2*c - 0 + 8. Calculate the remainder when r(c) is divided by 3.
2
What is the remainder when 12/((1 + -2)/((-5)/2)) is divided by 11?
8
Suppose 9 = 8*x - 55. Calculate the remainder when 28 is divided by x.
4
Let l = -4 + 5. Suppose 3 = -2*z - l. Let c(u) = 5*u**2 + 4*u + 3. What is the remainder when 44 is divided by c(z)?
14
Suppose 2*k = 5*j + 40, 5*k = 2*j + 33 + 25. What is the remainder when k is divided by 2?
0
Suppose -3*c + 8*c = 240. Calculate the remainder when c is divided by 25.
23
Suppose -h - k + 11 + 67 = 0, -5*h - 2*k + 399 = 0. What is the remainder when h is divided by (7/(-3))/(1/(-12))?
25
Suppose -3*v - 372 = -5*t, -2*v = -3*t - 5*v + 204. What is the remainder when t is divided by 15?
12
Suppose 8 = 2*n + 2*n. Suppose 2*w - 28 = -2*c - 3*w, -3*c + 4*w = -88. Calculate the remainder when c/16 + 3/2 is divided by n.
1
Suppose -59 = -2*v + 3*i, v - i - 40 = -3*i. What is the remainder when v is divided by 18?
16
Let x = -174 + 256. Let s(b) = -b**2 + 10*b. What is the remainder when x i