h = 6 + -1. Suppose 3*n - 42 = -5*k, 3*n - n = h*k + 28. What is the remainder when d is divided by n?
12
Suppose -2*p + 1 = 5, -2*d + 5*p = -30. What is the remainder when 28 is divided by d?
8
Let f(j) = j**2 - 2*j - 4. Let x be f(4). Let k = 166 - 112. Suppose k = x*l - 5*h, -5*h = -l - h + 19. Calculate the remainder when 30 is divided by l.
8
Let b(k) = -k**3 + 11*k**2 + 12*k + 11. Calculate the remainder when 19 is divided by b(12).
8
Let v = 6 + -9. Suppose 3 = -2*c + 15. What is the remainder when c is divided by (v/(-6))/((-1)/(-8))?
2
Let i(d) = d**2 + 2*d + 1. Let n be i(-3). Suppose 14 + n = v. Calculate the remainder when 52 is divided by v.
16
Let w(j) = j**2 + 4*j + 2. Let g be w(-4). Suppose 5*b - 4*z - 1 = g*b, -3*z = -15. What is the remainder when 12 is divided by b?
5
Let l be 3 - -2*(-109)/(-2). Suppose 3*n - 5*q + 3*q - l = 0, -104 = -3*n + 4*q. Calculate the remainder when n is divided by 11.
7
Suppose 2*b + 0*j - 21 = -j, 0 = 3*b + 2*j - 31. Calculate the remainder when 54 is divided by b.
10
Suppose 3*d - 62 = 5*h, d = -0*d - 5*h + 14. Suppose -4*m + 36 = 3*z - 0*m, -5*z = 4*m - 60. Let n = -5 + z. Calculate the remainder when d is divided by n.
5
Suppose -5*i + 16 = -2*w - 13, 0 = 5*i - 15. Suppose -13 - 2 = 3*a. Let y = a - w. Calculate the remainder when y is divided by 2.
0
Suppose -4*p = p + 2*a - 75, -30 = -2*p - 4*a. Suppose -p - 16 = -y. Calculate the remainder when y is divided by 3/(3/11) - 0.
9
Let r = -3 - -16. Let o be 2/9 + (-2)/9. Suppose 5*v - 2*w = -o*w + 41, -3*v + 18 = w. Calculate the remainder when r is divided by v.
6
Suppose 3*b + 4 = 4*b. Suppose -39 = -b*i + i. What is the remainder when 37 is divided by i?
11
Let z = 33 - 18. What is the remainder when 59 is divided by z?
14
Let l = 29 + 0. What is the remainder when 81 is divided by l?
23
Suppose -4*r + 55 = 5*n, -2*r - 4*n + 25 - 5 = 0. Suppose 6*p + 9 = 3*p, b = 5*p + r. Calculate the remainder when 19 is divided by b.
4
Calculate the remainder when (-12)/36 - (-422)/6 is divided by 9.
7
Suppose 0*d - 2*d + 8 = 0. Suppose -d*u - 108 = -8*u. Calculate the remainder when u is divided by 14.
13
Let l = -17 + 22. Let m = 20 + l. Calculate the remainder when 97 is divided by m.
22
Suppose 3*w + 5 = 4*k + 2, 5*w = 15. Suppose -5*q = -k*q - 28. Calculate the remainder when q is divided by 4.
2
Suppose 2*i - 246 = -4*z, -3*z - 2*i = -8*z + 285. What is the remainder when z is divided by 10?
9
Let a be (2 - 1)/(-1) - -23. Suppose -7*h = -5*h - a. What is the remainder when h is divided by 7?
4
Suppose 3*v + 2*v - 410 = 0. Calculate the remainder when v is divided by 17.
14
Let g = -192 + 196. Suppose 0 - 26 = -2*a. Calculate the remainder when a is divided by g.
1
Suppose 0 = a + 1 - 5. Let x = 20 + a. What is the remainder when 69 is divided by x?
21
Let i = 17 - 1. Calculate the remainder when 63 is divided by i.
15
Let l(h) = 19*h. Let f be l(3). Suppose 4*n = -n - 25, -3*c = -3*n - f. Calculate the remainder when 39 is divided by c.
11
Suppose p - 4 = -p. Suppose 3*w = r + 37, 0 = -0*r - p*r + 10. What is the remainder when 27 is divided by w?
13
Let n = 2 - -2. Let z be 22/18 + 2/(-9). Suppose -y = -n - z. What is the remainder when 14 is divided by y?
4
Let s(q) = -5*q - 6. Let l(m) = 25*m + 31. Let v(c) = 2*l(c) + 11*s(c). Calculate the remainder when 21 is divided by v(-3).
10
Suppose 0 = 4*z - 21 - 11. Let a = z - -9. What is the remainder when 32 is divided by a?
15
Let f(r) = 8*r**2 - r - 5. Let m be f(-4). Let z = m + -62. What is the remainder when z is divided by 17?
14
Calculate the remainder when 3 is divided by (96/(-28) + 3)/((-1)/7).
0
Let c = 5 + -3. Calculate the remainder when c is divided by 14/10 + 4/(-10).
0
Calculate the remainder when 7 is divided by (-66)/(-18) - 6/9.
1
Let v = 17 - 42. Let o = 49 - 31. What is the remainder when o is divided by ((-4)/5)/(2/v)?
8
Suppose 0 = 5*w - w - 276. What is the remainder when w is divided by 14?
13
Let w(r) = -r + 10 - 2*r + 5*r - r. Calculate the remainder when w(0) is divided by 6/(-5)*30/(-9).
2
Let s(c) = c**2 + c - 3. Calculate the remainder when 17 is divided by s(3).
8
Let y = -12 - -30. What is the remainder when y is divided by 11?
7
Let y(x) = 20*x**2 + 9*x - 20. What is the remainder when y(2) is divided by 21?
15
What is the remainder when 104 + (2 - (-28)/(-8))*2 is divided by 35?
31
Suppose 0 = -4*a + 3 + 81. Let k = -14 + a. Suppose 131 = 3*p + 4*x, -190 = -k*p + 2*p - x. What is the remainder when p is divided by 13?
11
Let i = -138 + 203. What is the remainder when i is divided by 17?
14
Let o = 49 - 17. Calculate the remainder when 122 is divided by o.
26
Suppose 2*y - y = 11. What is the remainder when 19 is divided by y?
8
Suppose -u - u = -34. Let f(n) = -3*n**3 - 3*n**2 + 4*n + 5. What is the remainder when u is divided by f(-2)?
8
Suppose 2*v - 111 = -v + 2*c, 5*v = 5*c + 190. Calculate the remainder when v is divided by 9.
8
Suppose -3*i + 2*f + 52 = -0*f, 2*i + 2*f - 48 = 0. What is the remainder when 97 is divided by i?
17
Suppose -21 = -2*d + y, 4*d + 5 - 82 = -5*y. Calculate the remainder when 36 is divided by d.
10
Suppose 45 = 7*d - 2*d. Suppose d = b - 9. Calculate the remainder when b is divided by 5.
3
Let o(l) = -l**3 + 4*l**2 - l + 1. Let f be o(4). Let b be 0/f - (-1 - 11). Calculate the remainder when 2 is divided by 4/6 + 16/b.
0
Let x(l) = -l**3 + 10*l**2 - 2*l + 5. What is the remainder when x(9) is divided by 14?
12
Suppose -m - 15 = -4*m. Suppose -4 = -m*g + 56. What is the remainder when 3 + -6*64/(-12) is divided by g?
11
Let m(q) = q. Suppose 2*c - 2 = 4*z, -z + 13 = 4*c - 0*c. Suppose s - 2*d + 6 = 0, s + 0*d + c*d - 14 = 0. Calculate the remainder when 5 is divided by m(s).
1
Let h be 12/10 + 5/(-25). Suppose -2*d - 5 = -h. What is the remainder when 3 is divided by (-1)/((-3)/12) + d?
1
Let k = -26 - -71. Suppose 0 = 3*u, 3*u - k = -4*h + 23. What is the remainder when h is divided by 10?
7
Suppose -3*x - 5*w = 1, -4*x + 8 = -0*w + 2*w. Suppose i - 27 = -2*g, x*g - g + 118 = 4*i. What is the remainder when i is divided by 8?
5
Let l(w) be the first derivative of w**4/4 + 1. Let v(x) = 4*x**2 + 4*x - 7. Let u(z) = l(z) - v(z). Calculate the remainder when 35 is divided by u(5).
11
Suppose 4*g + 3*m - 53 = 0, 2*g + m = -2*g + 47. Let q be 1*5*(-3)/(-3). Suppose -q*t = -117 - 38. What is the remainder when t is divided by g?
9
Suppose 5*w - 40 = -5*u, 3*w = -u - 2*w + 28. Suppose u*d + d - 2*s = 20, -s = d - 2. What is the remainder when 7 is divided by d?
3
Let d = 47 + -28. What is the remainder when d is divided by 4?
3
Let s = 17 - -1. What is the remainder when s is divided by 10?
8
Let r = 33 - 19. What is the remainder when 54 is divided by r?
12
Suppose 2*v + 23 = 7. Let z = v - -13. Suppose -121 = -4*y + 3*m, 0 = z*y - 0*m - m - 165. What is the remainder when y is divided by 12?
10
Let w be (0 + 2)*2/4. Let i be 5/(-2)*-54*3. What is the remainder when i/25 - w/5 is divided by 9?
7
What is the remainder when ((-50)/4)/(16/(-64)) is divided by 9?
5
Suppose -4*m = 4*q - 4, m + 3*m = -2*q + 12. Calculate the remainder when (1 - 2) + (9 - -1) is divided by m.
4
Suppose 17 = 2*f - 13. Calculate the remainder when 43 is divided by f.
13
Suppose -5*n + 4 + 11 = 0. What is the remainder when (n + -1)*11/2 is divided by 3?
2
Let p = -205 - -290. Calculate the remainder when p is divided by 30.
25
Suppose -2*o - 3*k = -4*o, -o = -3*k. Suppose -4*s - 361 = -4*p - s, o = -2*p + 5*s + 177. What is the remainder when p is divided by 23?
22
Suppose -3*f - 3*o = -84, 186 = 4*f + o + 74. Let w be 1 - 1*-2*-9. Let n = -7 - w. What is the remainder when f is divided by n?
8
Let d = -24 - -63. Calculate the remainder when d is divided by 10.
9
Suppose 2*p - 5 = p - 5*f, -3*f = 0. Suppose p*h + 67 - 302 = 0. Suppose 3*g + 4*x + x = 38, -5*g - 4*x + 72 = 0. What is the remainder when h is divided by g?
15
Let v be (-165)/(-35) + (-4)/(-14). Let o = v - 4. Calculate the remainder when (2 + -1)*1/o is divided by 1.
0
Suppose -7*g = -11*g + 44. What is the remainder when 86 is divided by g?
9
Let i(p) = p**2 + 3*p - 6. Let g be i(-5). Suppose -g*v + 28 = 4. Suppose 4*n + 68 = 3*f, -f + 0*f - n = -11. Calculate the remainder when f is divided by v.