5*p - 2*f + u = y, 2*p + 2*p = 4*f + 16. Calculate the remainder when p is divided by 2.
0
Let v = 95 - 78. What is the remainder when 32 is divided by v?
15
Suppose -d + 7 + 9 = 0. Let y be (2/3)/(4/(-24)). Calculate the remainder when (d/10)/(y/(-10)) is divided by 2.
0
Let r(b) = -b**2 + 5*b - 6. Let y be r(6). Let a = 16 + y. What is the remainder when 11 is divided by a?
3
Let t(x) = x**2 - 6*x + 3. Suppose 5 = 3*a + 140. Let v = a + 64. What is the remainder when v is divided by t(7)?
9
Let s = 146 + -88. Let a be (21/4)/(3/24). Let h = a - 22. What is the remainder when s is divided by h?
18
Suppose -3*a = -2*m + 185, -m + 4*a + 132 = 27. Suppose 5*o - 4*w - 125 = w, -2*w + 37 = o. What is the remainder when m is divided by o?
27
Suppose -4*p + 87 = 395. Let b = -37 - p. Calculate the remainder when b is divided by 0 - ((-12)/1 + -2).
12
Let q(m) = -m**3 + 12*m**2 - 12*m + 15. Let t be q(11). Suppose 0*u - t*u + 32 = 0. Calculate the remainder when u is divided by 6 + -1 + 1 + -1.
3
Suppose -3 + 15 = 4*i, 0 = -q + 4*i + 33. Calculate the remainder when q is divided by 23.
22
Suppose 0 = -3*v - 4 - 11, -3*v = 2*x - 9. Calculate the remainder when ((-19)/3)/((-4)/x) is divided by 5.
4
Let l be -1*(-27)/(-3)*1. Suppose 56 + 28 = 2*r. Calculate the remainder when r is divided by 2/(-6) + (-138)/l.
12
Calculate the remainder when 376/10 + 15/(-25) is divided by 10.
7
What is the remainder when -1 - (-18 - (-2 + 3)) is divided by 5?
3
Suppose 4*m - 3*x = -2*x + 91, -m - 3*x = -13. What is the remainder when 108 is divided by m?
20
Let y = -7 - -7. Suppose -f - 5 = y, 4*h + 2*f - 2 = h. What is the remainder when 10 is divided by h?
2
Let t = -10 + 6. Let y be (34/t)/(2/(-4)). Suppose 5*s + y = -4*l, s + 5 = 3*l - 6. What is the remainder when l is divided by 1?
0
Calculate the remainder when 22 is divided by 8/(-3)*(-54)/12.
10
Let y be (3/6)/((-3)/(-102)). Let m = -12 + y. Suppose -24 + 64 = m*u. Calculate the remainder when 22 is divided by u.
6
Suppose -2*t = -0*t - 68. What is the remainder when t is divided by 18?
16
Let d = 1 - 1. Suppose 3 = -z - 3*h, 4*z - 5*z + h + 17 = d. Calculate the remainder when (-455)/(-20) - 1/(-4) is divided by z.
11
Let w be (15/(-10))/((-2)/4). What is the remainder when 2/w*45/5 is divided by 4?
2
Let x = 7 - 5. Calculate the remainder when (-1)/(2/(-88)*x) is divided by 12.
10
Suppose g = 0, 3*g = 4*r - 61 - 27. Suppose -4*k + 2*k + 24 = 0. What is the remainder when r is divided by k?
10
Let f = 230 - 153. What is the remainder when f is divided by 13?
12
Let i(b) = -11*b + 25. Let q(p) = -17*p + 38. Let v(n) = -8*i(n) + 5*q(n). Let j(r) = -r**2 - 3*r + 17. Calculate the remainder when v(7) is divided by j(-5).
4
Suppose 3*a - 140 = -a. Suppose -6*q + q = -a. What is the remainder when q is divided by 4?
3
Suppose 5*f + 3284 = f. Let h = f + 1766. Calculate the remainder when (-2)/8 - h/(-20) is divided by 16.
15
Suppose -3*q + q = 0. Let u = 2 + q. What is the remainder when (-4)/(-3)*3*1 is divided by u?
0
Suppose -3*q - 11 = -2, j + 3*q - 10 = 0. Calculate the remainder when 35 is divided by j.
16
Suppose 385 = 4*z - 5*v, -9*v - 94 = -z - 10*v. Calculate the remainder when z is divided by 34.
27
Let w(v) = 28*v**2 - v - 1. Let g(m) = m**3 + 5*m**2 - 6*m - 3. Let k be g(-6). Calculate the remainder when w(-1) is divided by 12 - k*(-2)/3.
8
Let m be (-2)/2 - (-45 + 0). Let s = -23 + m. Suppose -3*j + 3*k = -33, -s - 5 = -2*j + 4*k. What is the remainder when 17 is divided by j?
8
Let z(f) = -8*f. Let x be z(-1). Suppose 2*q = 4*q - x. Calculate the remainder when (-6)/q*(0 - 10) is divided by 8.
7
Let n(l) = l**3 + 12*l**2 + 10*l + 10. Suppose 3*y + 18 = 2*h + 75, 5*h + 90 = -3*y. Let c = 10 + h. Calculate the remainder when 40 is divided by n(c).
19
Let s(v) = 45*v**2. What is the remainder when s(1) is divided by 12?
9
Suppose 2*n - 32 = -2*h, 6*n - 4*n - 6 = 0. What is the remainder when 38 is divided by h?
12
Let o(q) = -q**3 - 7*q**2 - 9*q - 1. What is the remainder when o(-6) is divided by 3?
2
Suppose j - 3*j + 14 = 0. Calculate the remainder when j*1*(5 - 1) is divided by (-2)/(-7) - 206/(-14).
13
Suppose 0 = 3*k - 8*k + 190. What is the remainder when k is divided by (42/(-8))/(1/(-4))?
17
Let s = -3 + -4. Let t = 22 - 9. Let y = s + t. What is the remainder when 11 is divided by y?
5
Let i = -58 - -90. Suppose -5*d + 38 = 4*w - 9, -5*d = -3*w - 61. What is the remainder when i is divided by d?
10
Suppose x - 2 - 17 = 0. What is the remainder when x is divided by 6?
1
Suppose x = -0*x - 5*c - 3, -4*x - c + 64 = 0. Let y = 1 - -1. Let v(w) = 4*w**3 - w**2 + 2*w + 1. Calculate the remainder when v(y) is divided by x.
16
Suppose 40 = -r - 5*n, -3*r = 2*r + n + 128. Let w = r + 35. Suppose 3*t - 29 - 55 = 0. Calculate the remainder when t is divided by w.
8
Suppose -31 + 11 = -5*q. Let v(k) = k**2 - 4*k - 8. Let p(j) = j + 1. Let u(z) = q*p(z) + v(z). Calculate the remainder when 35 is divided by u(-4).
11
Let q = -60 - -99. What is the remainder when q is divided by 7?
4
Let s = 52 + -41. What is the remainder when 82 is divided by s?
5
Let l = 88 - 46. What is the remainder when 83 is divided by l?
41
Let i be 12/10*10/3. Suppose -i*h + 40 = 2*s, -5*h - 21 = -5*s + 4. Let y(f) = 18*f + 1. Calculate the remainder when y(1) is divided by s.
9
Let h(j) be the second derivative of j**4/6 - 3*j**3/2 + j. Suppose 0 = -i - 4*i + 175. Calculate the remainder when i is divided by h(6).
17
Suppose -3*o + 2*r + r = 0, 3*r = -o + 16. Let q be 6*3/6 + -4. Calculate the remainder when 49 is divided by (2 + q)/(o/68).
15
Let i(a) = a**2 - 6*a + 1. Suppose -48 - 7 = 5*k. Let n(q) = 3*q**2 - 17*q + 3. Let p(w) = k*i(w) + 4*n(w). What is the remainder when 16 is divided by p(-2)?
7
Suppose -130 = -0*w - 2*w. Suppose 70 + w = 5*z. What is the remainder when z is divided by 15?
12
Suppose -83 = -8*w + 21. Calculate the remainder when w is divided by 17/4 + 3/(-12).
1
Let v(w) = 2*w - 20. What is the remainder when v(12) is divided by 3?
1
Suppose -105 = -3*f - 2*f - 5*a, 3*f - 2*a = 63. What is the remainder when f is divided by 3*4 + (-1 - 0)?
10
Suppose -3*p + 20 = 2*p. What is the remainder when p is divided by 2?
0
Let g(u) = 21*u + 7. Let k = 148 - 114. What is the remainder when g(6) is divided by k?
31
Let s be (2/(-2))/(-3)*0. Suppose 0 = -2*i + 5*w + 24, s = 2*i - 0*i - 4*w - 20. Calculate the remainder when 4 is divided by i.
0
Let x = 10 + -7. Suppose 0*t + 4*t - 20 = -j, j = -x*t + 18. Let f(h) = 2*h**2 - 6*h - 1. Calculate the remainder when f(6) is divided by j.
11
Let z = 14 + 1. What is the remainder when 29 is divided by z?
14
Let a = -76 + 131. Suppose 3*n - a - 21 = i, 0 = 4*n + i - 106. Calculate the remainder when 76 is divided by n.
24
Suppose 0 = -6*x - 3*x + 207. What is the remainder when 88 is divided by x?
19
What is the remainder when 30 is divided by 8/(1/2 - 0)?
14
Let s = -67 + 142. Suppose 0*d + 3*d - 44 = -x, 0 = 5*d + 2*x - s. Suppose 190 = 5*y - 0*y. What is the remainder when y is divided by d?
12
Let g(k) = 3*k**2 - 2*k + 2. What is the remainder when g(-2) is divided by 5?
3
Let v(p) = 2*p**2 + 7*p + 1. What is the remainder when v(-6) is divided by 11?
9
Suppose -2*o + 4*c + 36 = -16, -4*c = 5*o - 60. Calculate the remainder when 78 is divided by o.
14
Suppose 3*g - 116 = 3*i + 184, 4*g - 3*i - 402 = 0. Calculate the remainder when g is divided by 35.
32
Suppose 10 - 30 = -2*q. What is the remainder when 13 is divided by q?
3
Let q(s) = -s**2 + 7*s + 16. Suppose -24 = 3*r - 6*r. What is the remainder when 15 is divided by q(r)?
7
Calculate the remainder when 269/4 + 7/(-28) is divided by 23.
21
Let i be 1/2 + (-726)/(-12). Let f = i - 40. What is the remainder when 40 is divided by f?
19
Let h be (-8)/32 - (-106)/8. Let m = -6 + h. What is the remainder when m is divided by 3?
1
Let s(r) = 2*r**2 - 2*r. What is the remainder when s(5) is divided by 11?
7
Suppose 5*p - 13 - 32 = 0. What is the remainder when 96 is divided by p?
6
Let p = -2 - -4. Let t = p + 7. Calculate the remainder when 30 is divided by ((-48)/t)/((-2)/6).
14
Suppose 6*k - 282 = -0*k. What is the remainder when k is divided by 12?
11
Let g be 39/(-1) - (-5 - (6 + -11)). Let y = -20 - 7. Let z = y - g. W