p is divided by q.
10
Let p = 10 + -3. Suppose -4*d = -p*d + 51. What is the remainder when d is divided by 6?
5
Suppose 4*m = 2*m + 24. Calculate the remainder when 35 is divided by m.
11
Suppose 5*o + 0*o - 30 = 0. Let b be -2*2/(-6)*-3. Let m = b + o. What is the remainder when 6 is divided by m?
2
Suppose -3*d + 2*b = -6, 0*d + 3*d - b - 9 = 0. Let c = 5 + d. Calculate the remainder when c is divided by 1/(-4) + (-42)/(-8).
4
Suppose -11 + 47 = 4*j. What is the remainder when 16 is divided by j?
7
Suppose 4*k + 10 = -10, -5*f = 4*k. What is the remainder when -1*3/(-3)*7 is divided by f?
3
Suppose -2*g - 8 - 4 = -d, 0 = -5*d - g + 82. Calculate the remainder when 29 is divided by d.
13
Let j(c) = 2*c**2 - 2*c + 10. What is the remainder when j(5) is divided by 17?
16
Let k = 0 - 0. Let n(g) = 2*g**2 - 11*g + 10. What is the remainder when n(7) is divided by (-11)/(-1) - k/(-2)?
9
Suppose 0 = -5*j + 3*a + 128, 2*j - 3*a - 53 = -0*j. What is the remainder when 47 is divided by j?
22
Suppose -p + 45 = 3*w, 4*w = -0*w. Suppose 0 + p = 3*x. Suppose b = 15 + x. Calculate the remainder when b is divided by 11.
8
Let h(a) = -12*a**3 - a**2 + 2*a. Let p be h(-2). Calculate the remainder when 2/(-4) + p/16 is divided by 4.
1
Suppose -2*j - m + 106 = 0, -2*m = 3*j + 2*j - 265. Let u(s) = s - 2. Calculate the remainder when j is divided by u(16).
11
Suppose -3*u = u. Suppose -2*m + 20 = -u*m. Let c = 4 + m. What is the remainder when c is divided by 8?
6
Suppose 4*d - 28 = -2*h, 5*h - 4 = 5*d - 4*d. Let i = d + -4. What is the remainder when i is divided by 2?
0
Suppose 0 = -4*r - 9 - 3. What is the remainder when 44 is divided by 2 - r/3*13?
14
Let r(c) = c**2 - 3*c + 7. Let k(n) = -n**3 + 9*n**2 + 2*n - 13. Let w be k(9). Calculate the remainder when 31 is divided by r(w).
14
Let i(k) = k**2 + 23. Calculate the remainder when 44 is divided by i(0).
21
Let v(b) = 19*b - 2. Let z = -4 - -6. Let t be v(z). Let q = t + -24. Calculate the remainder when 34 is divided by q.
10
Let n = 23 - 26. What is the remainder when (-2 - n)*(-12 - -33) is divided by (-2 + -2)/((-2)/6)?
9
Let n = -14 - -20. Let s(a) = -a**2 - 10*a - 9. What is the remainder when s(-6) is divided by (-16)/n*9/(-3)?
7
Suppose 3*v = 12, -5*i - 3*v + 67 = -15. What is the remainder when 47 is divided by i?
5
Suppose 3*o - 17 = 5*s, -4*o - 5*s + 6 = -5. Suppose -o*h = -0*h - 8. What is the remainder when 3 is divided by h?
1
Suppose 24 = m + m + 5*j, -4*m + 68 = 5*j. Suppose 3*p + 12 = 4*p. Calculate the remainder when m is divided by p.
10
Let i = 4 + 13. What is the remainder when 46 is divided by i?
12
Let c(x) = 2*x + 0*x**3 + x**2 - x**3 - 4*x**2 - 5. Let w be ((-2)/(-3))/(4/(-24)). Calculate the remainder when 7 is divided by c(w).
1
Suppose -3*d + 70 = 16. Let c = d - 16. Calculate the remainder when c is divided by 1.
0
Suppose 2*k - l + 1 = 0, -l + 4 = -3*k + l. Suppose -n = -4*m - 7, -6 = -0*m - k*m. Calculate the remainder when n is divided by 5.
4
Suppose 0 = -4*o + y - 25 - 48, -o + 4*y - 7 = 0. Let x = -11 - o. Calculate the remainder when x is divided by 3*3/(-9) - -4.
2
Let d(f) = -8*f + 1. Let w be (-1 + 0 + -1)*2. Let j be d(w). Let h = j - 19. Calculate the remainder when 40 is divided by h.
12
Let o(r) = -r**3 - 4*r**2 - 5*r - 4. Let w be o(-3). Suppose -61 = -4*t - b, w*t - 4*b - b - 25 = 0. What is the remainder when 57 is divided by t?
12
Let j = 28 + 4. Let g(q) = 18*q**3 - 1. What is the remainder when j is divided by g(1)?
15
Let c(o) = -5*o + 28. Calculate the remainder when c(0) is divided by 10.
8
Let r = 81 + -30. What is the remainder when r is divided by 13?
12
Suppose -60 = -2*q - p - 19, 0 = p - 5. Let z = q + 39. Calculate the remainder when z is divided by 15.
12
Suppose -f + y + 6 + 19 = 0, 4*y - 32 = -2*f. Let n(m) = m**2 - 7*m + 4. Suppose -2*r + 25 = 9. Calculate the remainder when f is divided by n(r).
10
Let g = 4 - 2. Suppose -f + 3 = x - g*f, -5*x + 3*f + 19 = 0. What is the remainder when x is divided by 4?
1
Suppose 34 = 5*c - 26. Calculate the remainder when 83 is divided by c.
11
Let i(t) = 12*t + 8. Let r(v) = -4*v - 3. Let p(s) = 5*i(s) + 14*r(s). Calculate the remainder when p(3) is divided by 6.
4
Suppose -2*u + 290 = 3*u. Suppose u = 3*a - 2. Calculate the remainder when 39 is divided by a.
19
Calculate the remainder when 1/3 - (-51)/9 is divided by 2.
0
What is the remainder when ((-3)/(-12))/(-1) + (-229)/(-4) is divided by 20?
17
Let j = 134 + -89. What is the remainder when j is divided by 3/(-15)*-4*30?
21
Let z(h) = h + 3. Let w be z(0). Suppose -w*o - 9 = -6*o. What is the remainder when 8 is divided by o?
2
Let c = 15 - 11. Suppose -v = c*b + 140, -2*b + 2*v = 3*b + 188. Let o = b - -50. Calculate the remainder when o is divided by 5.
4
Suppose -8 = 2*i - 3*i. Suppose 0*p = p. What is the remainder when 18 is divided by (p + 1)*(i - -2)?
8
Let p(j) = j**3 + 6*j**2 - 9*j - 10. Suppose 6 = -3*x, -5*r + 0*r - 4*x + 57 = 0. Calculate the remainder when r is divided by p(-7).
1
Let m(x) = x**3 + 2*x**2 - 2*x - 1. Let j be m(-2). Let g = 38 - j. Suppose -g = -3*c + 5*r - r, 2*r = c - 15. What is the remainder when 18 is divided by c?
3
Suppose 3*p = -7*l + 4*l - 3, p - 7 = -3*l. What is the remainder when (-2)/(-5) - 231/(-35) is divided by l?
3
Let a be (-55)/10 + (-1)/2. Let p = -2 - a. What is the remainder when 7*(3 + (1 - 3)) is divided by p?
3
Suppose -y - s + 4*s = -21, 0 = -4*y + 2*s + 124. Suppose 2*i + v - 21 = 2, -y = -3*i - v. What is the remainder when (-60)/(-35)*(-42)/(-4) is divided by i?
8
Suppose 3*f - 149 = -5*o, -4 + 188 = 4*f + 3*o. Calculate the remainder when f is divided by 15.
13
Calculate the remainder when 6 is divided by -3 - -3 - (-4 - -2).
0
Suppose -2*n + 234 = 4*g, g + 171 = 3*n - 166. Calculate the remainder when n is divided by 29.
26
Suppose -9*z + 7*z = -92. Calculate the remainder when z is divided by 16.
14
Let x(k) = -k + 19. Calculate the remainder when 112 is divided by x(0).
17
Let r be 0*(2 - (4 - 1)). Suppose -x - 15 = -4*y - y, r = 5*y - 3*x - 15. Let p = 24 + -14. What is the remainder when p is divided by y?
1
Suppose 4*t - 77 = -5*w, -3 = -w - t + 13. Calculate the remainder when w is divided by 6.
1
Suppose -3*d + l + 50 = 0, -3*d + 34 = -7*l + 2*l. What is the remainder when 71 is divided by d?
17
Let p(k) = 2*k**2 + 14*k - 9. Let v(q) = -q**3 - 3*q**2 - 3*q - 3. Calculate the remainder when v(-4) is divided by p(-8).
4
Suppose -4*p = -2*p + 14. Let k = -4 - p. Calculate the remainder when k is divided by 3.
0
Let h = -4 + 2. What is the remainder when (74/1)/h*-1 is divided by ((-13)/4)/(16/(-64))?
11
Suppose -130 = -64*k + 59*k. What is the remainder when k is divided by 7?
5
Suppose -4*v - 8 = -2*v - 3*t, -3*t = v - 14. Suppose 4*w + v*y - 128 = 0, y = 5*w - 161 - 6. What is the remainder when 97 is divided by w?
31
Suppose -y + 25 = -t - 86, -y + 111 = -2*t. Suppose 3*p - 36 = -2*b - p, -5*b + y = 3*p. What is the remainder when 47 is divided by b?
23
Suppose -w + 1 = 0, -2*y + y + w = -9. Calculate the remainder when y is divided by 4.
2
Let r(s) = s + 12. Calculate the remainder when r(5) is divided by 7.
3
Let k = 9 + 3. Suppose 4*j - 5*n + n = 96, 3*j - 2*n = 69. Calculate the remainder when j is divided by k.
9
Suppose 4*y + 0*y + 17 = 3*n, -2 = -4*n - 5*y. What is the remainder when (-54)/(-8) - n/(-12) is divided by 3?
1
Suppose -2*x + 19 = -x - y, -2*x - 2*y + 54 = 0. What is the remainder when 66 is divided by x?
20
Suppose -5*p - 4*m + 259 = 0, 4*p - 161 = p - m. Suppose 2*d + 0*d = 38. Calculate the remainder when p is divided by d.
17
Calculate the remainder when 1 + (-4 - -59) + -3 is divided by 18.
17
Let l = 7 - 3. Suppose -l*p = -5*q - 11, 11 = 2*q - 4*p + 25. Suppose 2*a + s - 2 = -3, -5*s - 11 = 4*a. Calculate the remainder when a is divided by q.
0
Suppose 0 = -2*u + 11*u - 2448. What is the remainder when u is divided by 55?
52
Suppose -3*x = -4*l - 5*x + 906, 0 = 3*l + 5*x - 669. Suppose -5*o - o = -l. Calculate the remainder when o is divided by 20.
18
Suppose -2*m + 92 = -m. Let n = m - 30. Calculate the remainder when n is divided by 21.
20
Let g(f) = 13*f**3 - 19*f**2 + 41*f - 1. Let a(k) = 3*k**3 - 5*k**2 + 10*k. Let x(t) = 9*a(t) - 2*g(t). Calculate t