en a is divided by 10.
8
Suppose 3 = 2*a - 3. What is the remainder when a is divided by 1?
0
Let r = -50 - -71. Suppose 0 = 3*a - 2*h - 32, -4*a + a = h - 38. What is the remainder when r is divided by a?
9
Let k = 28 + -14. Suppose 0 = 4*n - n. Suppose -h = 3*u - n*h - 28, h = u - 4. Calculate the remainder when k is divided by u.
6
Let w(q) = -q**3 - 22*q**2 + 24*q + 31. Suppose -5*a + a - 8 = 5*g, 0 = -3*a - 5*g - 11. What is the remainder when w(-23) is divided by a?
2
Suppose 4*b - 2*h = 35 + 25, -3*b + 2*h + 47 = 0. Suppose -5*v + k + 102 = -b, -3*v = k - 77. Calculate the remainder when 94 is divided by v.
22
Suppose 5*s - 4*i - 20 = -3*i, 4*s = -5*i + 16. Calculate the remainder when 15 is divided by (-3)/(3/s)*-1.
3
Suppose -7*o + 2*o = 0. Calculate the remainder when 196/10 - 2/(-5) is divided by (o + 1)*(1 - -6).
6
Let o = -5 - -5. Suppose -35 + o = -5*d. What is the remainder when 32 is divided by d?
4
Let q = 8 + -5. Suppose -17 = -q*k + 13. What is the remainder when k is divided by 6?
4
Let r = 16 - 13. What is the remainder when 4 is divided by r?
1
Let i = 17 + 211. Suppose 4*p + i = 8*p. Calculate the remainder when p is divided by 12.
9
Let r(x) = x**2 + 12*x - 13. Let s be r(-9). Let f = -5 - s. Calculate the remainder when f is divided by 12.
11
What is the remainder when 109 is divided by (-37)/(-2)*(-3 + 5)?
35
Calculate the remainder when 106*(1 - (-5)/(-10)) is divided by 14.
11
Suppose -7*x = -289 - 327. What is the remainder when x is divided by 13?
10
Let s(k) = k - 1. Let q be s(1). Suppose 2*t - o - 41 = q, 39 = 4*t - 3*o - 38. Calculate the remainder when t is divided by 8.
7
Suppose 4*a + 4*g - 116 = 0, 4*g - 150 = -3*a - 2*a. What is the remainder when a is divided by (-1)/((-20)/18 + 1)?
7
Suppose 0 = -4*w - 2*k - 3*k + 29, k - 19 = -3*w. Suppose -1 = i - 3. Suppose 0 = i*s - 7*s + 55. Calculate the remainder when s is divided by w.
5
Suppose -15*n + 136 = -74. What is the remainder when 123 is divided by n?
11
Suppose u = 5 + 3. Let i(f) = -f**3 + 9*f**2 - 7*f - 5. Let y be i(u). Suppose -y*b + 8 = b. Calculate the remainder when 4 is divided by b.
0
Let z(y) = 5*y**3 + y**2. Let k be 2/(-4) + (-6)/(-4). Let m be z(k). Let c = m - -2. Calculate the remainder when c is divided by 3.
2
Let v(u) = -15*u**2 + u. Let k be v(1). Calculate the remainder when (-2)/8 - 135/(-12) is divided by 4/k + (-60)/(-14).
3
Let s = 112 - 69. Let x(u) = 2*u**2 + 3*u - 8. Let a(r) = r**2 + 3*r - 7. Let h(f) = -3*a(f) + 2*x(f). Calculate the remainder when s is divided by h(5).
13
Suppose 5*o = -3*r + 65, 0*o = -2*r + 5*o + 35. What is the remainder when r is divided by (-51)/(-7) + 6/(-21)?
6
Let r(z) = -z + 9. Let v be 2/(-4) + (-45)/(-10). Let h(d) = 2*d**2 - 3*d + 5. Calculate the remainder when h(v) is divided by r(0).
7
Let u(i) = -i**3 - i**2 + 15. Calculate the remainder when 43 is divided by u(0).
13
Let j = 14 + 171. What is the remainder when j is divided by 31?
30
Suppose 12*r - 158 = 94. Calculate the remainder when 59 is divided by r.
17
Suppose -3*l = 2*l + 45. What is the remainder when 44 is divided by 51/l*-3 - 2?
14
Let o = -76 - -91. Calculate the remainder when 44 is divided by o.
14
Let z(b) = 29*b**3 - b + 1. Calculate the remainder when 115 is divided by z(1).
28
Let s(m) be the first derivative of m**3/3 - m**2/2 - m - 2. What is the remainder when 14 is divided by s(-2)?
4
Let w be (-24)/21*28/(-8). Calculate the remainder when -3 - w/((-12)/423) is divided by 35.
33
Let k be (2/(-5))/(6/(-30)). Calculate the remainder when ((-88)/10)/(k/(-5)) is divided by 8.
6
Suppose h - 24 = -4*v, -5*v - 6 = -h - 0*h. What is the remainder when 24 is divided by h?
8
Suppose -64 = -224*a + 220*a. What is the remainder when 21 is divided by a?
5
Suppose r + 3*r - 36 = -5*q, 0 = -3*r - 3*q + 27. What is the remainder when 42 is divided by r?
6
Let a be (9/(-6))/((-3)/68). Suppose 2*p + 2*g - 114 = 0, 3*g - 91 = -p - a. What is the remainder when p is divided by 20?
17
Suppose 2*q + q - 78 = 0. What is the remainder when 72 is divided by q?
20
Let z = 107 - 88. What is the remainder when 93 is divided by z?
17
Let p be 2*(2 + -6)/(3 - 1). Let k(h) be the second derivative of -h**5/20 - h**4/4 + h**3/6 + 2*h**2 + h. What is the remainder when 31 is divided by k(p)?
15
Suppose 2*u = -20 - 32. Calculate the remainder when 3 is divided by 39/u*4/(-6).
0
Suppose 5*j = -5*t + 140, -t = -2*t - 4. Let a(m) = 2*m**2 - 3*m + 2. What is the remainder when j is divided by a(3)?
10
Suppose 3*j = -0*j - 6. Let k(c) = -2*c**3 + c. Let v(b) = b**2 - 3*b - 1. Calculate the remainder when v(7) is divided by k(j).
13
Suppose 0*b + 2*b = 32. Let u = -114 - -143. What is the remainder when u is divided by b?
13
Let s = 6 - -1. Suppose -21*c + 5*u + 50 = -16*c, 0 = -5*c + 3*u + 54. Calculate the remainder when c is divided by s.
5
Suppose -16 - 42 = -2*l. What is the remainder when l is divided by 6?
5
Let i(f) = -f**2 - 10*f - 5. Let a be i(-9). Suppose -3*r + 4*r = a. Suppose 4 = 2*m - r. Calculate the remainder when 7 is divided by m.
3
Suppose -6 = -3*a - 0*a. What is the remainder when 38 is divided by 2*1 - (a - 14)?
10
Let m(y) be the first derivative of 1/3*y**3 + 2 + 3*y + y**2 - 1/4*y**4. What is the remainder when m(-3) is divided by 17?
16
Let m(u) = -u**3 + 12*u**2 - 9*u + 10. What is the remainder when 63 is divided by m(11)?
31
Let p(o) = -o**3 + 9*o**2 - 9*o + 10. Let b be p(8). Suppose -n = -5*h + 14, 0*n = -4*h + b*n + 16. What is the remainder when 4 is divided by h?
0
Suppose 3*l = -l + 216. Let p = l - 24. Calculate the remainder when p is divided by 8/(-6)*(-12)/2.
6
Suppose 2*q + 65 = 5*w - 3*q, 25 = 2*w - 3*q. Let t = 86 - 55. Calculate the remainder when w is divided by t/4 + (-1)/(-4).
6
Let x = -254 - -256. Suppose 1 - 13 = -2*l. Calculate the remainder when x is divided by l/2 + -2 + 0.
0
Let s(v) = 4*v**2 + 2. Calculate the remainder when s(-2) is divided by 4.
2
Suppose 10 + 11 = -3*x. Let f = x + 24. Suppose 3*a - 3*m - 3 = 0, -a - 2*m = -18 + 2. Calculate the remainder when f is divided by a.
5
Let u be ((-2)/3)/(4/(-222)). Suppose 5*o = -2*y + u, -o = -4*y - 6*o + 99. What is the remainder when 91 is divided by y?
29
Let k(r) = -21*r - 6. Calculate the remainder when k(-4) is divided by 20.
18
Let w(r) = -r**3 + 6*r**2 + 6*r + 1. Let c be w(6). Suppose -3*n = 4 + 8, -h + 5*n + c = 0. Calculate the remainder when 49 is divided by h.
15
Let z = 49 - 21. Let t = -27 - -37. What is the remainder when z is divided by t?
8
Let x(h) = h**3 - 6*h**2 + 4*h + 5. Let j be x(5). Let p(c) = 2*c + 16. What is the remainder when 1 - (1 + 0) - -47 is divided by p(j)?
15
Let v(a) = 6*a**2 + 2*a - 2. Calculate the remainder when 50 is divided by v(2).
24
Suppose 0 = -2*x + 5*y + 21, x - 14 = 5*y - 6. Let u = 113 - 21. Suppose -11*g + 7*g = -u. Calculate the remainder when g is divided by x.
10
Suppose -z = 4 - 6. Suppose 2*g - g = 4. What is the remainder when g is divided by z?
0
Let f = 59 - 109. Let y = f + 72. Calculate the remainder when 41 is divided by y.
19
Let j = -223 - -458. Calculate the remainder when j is divided by 17.
14
Suppose -y = -2 - 3. Suppose -y*p + 380 = -170. Calculate the remainder when p/4*8/10 is divided by 8.
6
Let g(m) = 8*m - 3. Suppose -3*z - 3*w + 17 = -2*z, -41 = -4*z - 3*w. What is the remainder when g(z) is divided by 32?
29
Let f = -12 - 0. What is the remainder when 52 is divided by (f/14)/((-5)/105)?
16
Suppose -19*d = -21*d + 142. Calculate the remainder when d is divided by 8.
7
Let o(r) = -6*r + 4. What is the remainder when o(-3) is divided by 3/((-6)/(-20)) + -2?
6
Suppose -2*x - 2244 + 9874 = -4*l, 5*l - 5*x + 9535 = 0. Let w be l/(-16) - 2/8. Let a = -76 + w. What is the remainder when a is divided by 15?
13
What is the remainder when 9/(-3)*-1 + 26 is divided by 10?
9
Suppose -i + 4*i + q - 6 = 0, 0 = -3*i + 2*q + 15. Suppose 2*b = -2*l + 26, 3*l + i*b = -2*b + 49. What is the remainder when l is divided by 5?
3
Calculate the remainder when 2 is divided by (-1)/((-2)/(-1 - -3)).
0
Let b(s) = s**2 - 7*s + 2. Let q be b(8). Calculate the remainder when 1/(-3) - 1015/(-21) is divided by q*(-1)/(6/(-15)).
23
Suppose -3*w = -2*w + 2. Let m be (-8)/(-1) - (-20)/10. What is the remain