14 is divided by y.
14
Suppose 68*p + 30*p - 445 = 9*p. Suppose 40 = 4*x - 12. Calculate the remainder when x is divided by p.
3
Let v be ((-1)/(-1) - -69)/2. Let y = -26 + v. Calculate the remainder when y is divided by 0 + -3 - (-1 - 7).
4
Suppose 5*f = 22 - 2. Calculate the remainder when (72 - (-6 + f)) + 2 is divided by 7.
6
Let v(x) be the second derivative of 5*x + 4*x**2 + 0 - 2/3*x**3. Calculate the remainder when v(-6) is divided by 11.
10
Suppose 3*y = 4*l + 18, -2*y = l + 1 - 2. Let r be -9 - (9/3 + l). Let p = 15 + r. What is the remainder when 11 is divided by p?
5
Let v = -40 - -46. Suppose -5*r = -5*d - 45, -r - 2*d + 15 = -0*r. Calculate the remainder when r is divided by v.
5
Let l = 38 - 20. Suppose 4*a + a = -3*d + l, -d + 16 = 5*a. Calculate the remainder when ((-15)/6)/((-2)/4) is divided by a.
2
Calculate the remainder when 45 is divided by 37/(-74)*4*-5.
5
Suppose 0 = -51*d + 32*d + 1406. Calculate the remainder when 278 is divided by d.
56
Suppose -4*y + 5*s + 183 = -95, 191 = 3*y + 5*s. Calculate the remainder when 2007 is divided by y.
64
Let s = 255 - 226. What is the remainder when 54 is divided by s?
25
Suppose 4*b + 2*u = 3*u, 0 = 3*b - 3*u + 9. Suppose -3*r + b + 158 = 0. What is the remainder when r is divided by 15?
8
Suppose 0 = 1266*x - 1276*x + 4080. What is the remainder when x is divided by 131?
15
Suppose -5*v + t = -118, -3*t + 78 = 3*v - 0*v. What is the remainder when 69 is divided by 344/v - (-2)/(-6)?
13
Suppose 106 = -12*z + 298. Let r = 4 + -3. Calculate the remainder when z is divided by r/(-4) - (-74)/8.
7
Suppose 2*y + 28 = -2*y. Let z = 17 + y. Let b(f) = f**3 - 177*f**2 - 911*f + 209. What is the remainder when b(182) is divided by z?
7
Suppose -4*g = -0*g - 5*q - 8, -2*g + 5*q = -4. Suppose 0 = g*j - 101 - 3. What is the remainder when j is divided by 18/(1 + 1/(-3))?
25
Calculate the remainder when 773 is divided by (-5)/(-45) - 278/(-9).
29
Let b(u) be the second derivative of -u**5/20 + 3*u**4/4 - 5*u**3/3 - 8*u**2 - 18*u. Calculate the remainder when 44 is divided by b(7).
8
Let h be (-59 + 0 + 1)*-2. Suppose 2*x + h = 6*x. What is the remainder when x is divided by 10?
9
Suppose -111 + 504 = 3*r. Let t be 1 + -2 - (-1 + -59). Let z = r - t. Calculate the remainder when z is divided by 25.
22
Let v(t) = t**3. Let m(h) = -3*h**3 - 4*h**2 + h - 3. Let d(b) = -m(b) - 2*v(b). Calculate the remainder when 69/207 - (-74)/3 is divided by d(-4).
4
Let h(v) = v**3 + 2*v**2 + 2*v - 2. Suppose -17 - 7 = -6*t. Calculate the remainder when h(t) is divided by 35.
32
Let l = -113 + 164. Suppose l + 9 = 4*y. Calculate the remainder when 42 is divided by y.
12
Let w be (0 - -1) + -1 - -23. Suppose -2*h + a = -16, 5*a - 9 + w = -h. What is the remainder when h is divided by 2?
0
Let d(h) = -h**2 + 99*h + 653. Calculate the remainder when 39 is divided by d(-6).
16
Suppose -4*g + 127 = -c, 124 = 3*g - 21*c + 26*c. Let y = 6 + 3. Calculate the remainder when g is divided by y.
6
Suppose -3*r = -3*c, 3*r = -4*c + r + 12. Suppose 0 = c*z - 37 - 1. What is the remainder when 112 is divided by z?
17
Let q = 0 + -30. Let j = 43 + q. What is the remainder when 48 is divided by j?
9
Let z(p) = p**3 + 15*p**2 - 15*p + 34. Calculate the remainder when 52 is divided by z(-16).
16
Let h be ((-18)/21)/((-12)/56). Suppose y + 40 = b, 0*b - 2*b - h*y = -50. Calculate the remainder when b is divided by 12.
11
Let s = -2 - -10. Let g = 13 - s. Suppose 25 = 5*x - 60. What is the remainder when x is divided by g?
2
Let c(o) = 6*o + 45. What is the remainder when 16 is divided by c(-6)?
7
Suppose 8*k - 9*k + 39 = 0. Let y be 122/10 - (-1)/(-5). Let s = 26 - y. Calculate the remainder when k is divided by s.
11
Let t = 85 - 86. What is the remainder when 12 is divided by ((-2)/(-4))/(t/(-18))?
3
Let c(o) = 2*o + 175. Let q be c(0). Suppose 0 = 3*l + y - q, -5*l + 5*y = -3*l - 128. Suppose l = u + 13. What is the remainder when u is divided by 24?
22
Let p = 8 - 202. Let d be (-1)/(196/p + 1). Let j = 151 - d. What is the remainder when j is divided by 14?
12
Suppose o - 5*n - 255 = 0, 6*o - 998 = 2*o - 2*n. Calculate the remainder when o is divided by 51.
46
Suppose -f - 22 = 5*b, -4*f - 5*b + 4 = 17. Suppose 0*y + u - 40 = -y, 0 = f*y + 5*u - 114. Calculate the remainder when y is divided by 11.
10
Let n = 19 - 11. Suppose -n*j - 92 = -500. Calculate the remainder when j is divided by 11.
7
Let u(r) = -r + 10. Let h be u(8). Suppose 0 = -h*f - 2*s + 18, 0 + 33 = 5*f + s. Calculate the remainder when f is divided by 2.
0
Suppose -5*p + p - 5*c = 0, 0 = p - 2*c + 13. What is the remainder when 26 is divided by 42*(-3)/45*p?
12
Let p(x) = 2*x**2 - 3*x**2 + x - 7*x + 8 + 2*x. Calculate the remainder when (-2 + 7)/(1 + 0) is divided by p(-5).
2
Let h be (-8)/(-3) - (-2)/6. Suppose 0 = h*o - 5*l + 13 - 45, 5*o - 44 = -l. What is the remainder when o is divided by 0 - 8/(-3 + 1)?
1
Suppose -19*p = 17*p - 792. Calculate the remainder when 66 is divided by p.
0
Suppose -17*v = -15*v - 14. Let f = 8 + -5. Let d = 5 - f. What is the remainder when v is divided by d?
1
Suppose -3*a = -4*f + 2*a + 6, 5*f - 3*a - 14 = 0. Let u(t) = -t**3 - 12*t**2 + 14*t + 18. Calculate the remainder when u(-13) is divided by f.
1
Let x(l) = -16*l + 5. Let j be x(2). Let i = j - -48. Calculate the remainder when 61 is divided by i.
19
Let g = 5 + 4. Let x = 1972 + -1961. Calculate the remainder when x is divided by g.
2
Let j(q) = -9*q**3 + 3*q**2 + 2*q + 2. Calculate the remainder when j(-2) is divided by 14.
12
Suppose 5*f + 413 - 58 = 5*m, -m + 2*f = -66. Calculate the remainder when 910 is divided by m.
74
Let f = 0 + -7. Let c(w) = w**2 + 6*w + 10. Suppose 0*u - u + 45 = k, 36 = u + 4*k. What is the remainder when u is divided by c(f)?
14
Let j = 531 + -454. Suppose 2*a = -28 + 68. Calculate the remainder when j is divided by a.
17
Let k be ((-1)/(9/354))/((-22)/33). Suppose -3*f - l = -0*f - k, -4*f = 3*l - 82. Calculate the remainder when f is divided by 9.
1
Suppose 15*g + 7*g - 176 = 0. Calculate the remainder when g is divided by 3.
2
Let r(f) be the second derivative of -f**5/10 + f**4/6 - f**3/6 - 2*f**2 - 2*f. What is the remainder when r(-3) is divided by (-26)/(-169) - (-464)/26?
17
Let k = -9 + 11. Suppose 5*n = x - 30, k*x - 4*n - 32 = -n. Calculate the remainder when 90 is divided by (-4)/x - (-351)/15.
21
Suppose 30*p + 57 = 327. Calculate the remainder when 244 is divided by p.
1
Let v(l) = 9*l**3 - 4*l**2 + 3*l - 2. Let i be v(2). Suppose 5*u = 2*u + i. Let j = 42 - u. Calculate the remainder when 42 is divided by j.
20
Let j = 114 + -101. Calculate the remainder when 89 is divided by j.
11
Suppose 150 = 4*c - 2*r, 96 = 3*c + 3*r - 3. Calculate the remainder when c is divided by (2 - 28)*(-7)/14.
10
Let i = 609 + -563. Calculate the remainder when i is divided by 17.
12
Suppose -4*c = -k - 73, -c + 2*k + 92 = 4*c. Let h(b) = b**2 - 8*b + 13. What is the remainder when h(10) is divided by c?
15
Suppose -5*x - 2*v + 207 + 215 = 0, 4*x - 360 = 4*v. Let g = -24 - -47. Calculate the remainder when -4 + x + 2 - -5 is divided by g.
20
Let b be 1/(3/2) + (-12189)/153. Let d = 94 + b. Calculate the remainder when 26 is divided by d.
11
Let g(h) = h**3 - 14*h**2 + 10*h - 88. Calculate the remainder when 65 is divided by g(14).
13
Suppose 5*m - 42 = o + 75, -2*m = 4*o - 60. What is the remainder when 407 is divided by m?
23
Let t = -770 + 792. Calculate the remainder when 136 is divided by t.
4
Suppose 0 = 3*v - 3, 3*m + 2*m - 421 = 4*v. Let f = m + -55. What is the remainder when 177 is divided by f?
27
Calculate the remainder when 52/39*66/4 is divided by 8.
6
Let n(f) = f**3 + 28*f**2 - 4*f - 49. Calculate the remainder when 79 is divided by n(-28).
16
Let j be 1*(12/(-4) + 0). Let b(g) = 5*g - 2. What is the remainder when b(5) is divided by (1 - (-3 + (-21)/j)) + 10?
2
Suppose -2*g + 5 + 5 = 0. Suppose g*s - 49 = -4. Calculate the remainder when s is divided by 2.
1
Suppose -x + 5*q + 45 = 0, -2*x = 3*q - 13 - 12. Let n = x + 12. Suppose -51 = -5*u - 2*g, -5 - 43 = -4*u - 4*g. What is the remainder when n is divided by u?
5
Suppose -11*d + 153 = -2*d. Suppose 0 = 3*x, -4 = 5*g - 4*x - 39. What is the remainder when d is divided by g?
3
