18 is divided by x.
8
Calculate the remainder when 5 is divided by (2 + -6)/4 + 3.
1
Let i = 7 - 4. Suppose -5 = 5*z, 58 = i*f - 4*z - 3. Suppose -6*c + 50 = -c. Calculate the remainder when f is divided by c.
9
Suppose x = 5*o - 31, 2*x + 124 = -2*x + 4*o. Let n be 1/(x/(-15) - 2). Calculate the remainder when 26 is divided by 2/6 + 130/n.
8
Suppose 8*a - 3*a = 5. What is the remainder when ((-3)/4)/(-3)*(23 + -19) is divided by a?
0
Suppose -5*p = -4*q + 19, -2*p - 3*q - 6 = p. Let g be (120/9)/(-1)*p. Suppose -6*f + 2*f = -g. What is the remainder when 27 is divided by f?
7
Let s(d) = -5*d**2 + 3*d + 2. Let h be s(3). Suppose -5*t + 1 = -3*o - 1, 2*o + 2 = 4*t. Calculate the remainder when 32 is divided by h*(-1)/2*t.
15
Suppose 3*u = -g - 2*g + 36, 5*u + 4*g = 58. Suppose -5*o - 8 = 3*s - 4*s, -5*o + 104 = 3*s. Calculate the remainder when s is divided by u.
8
Let j = 6 - 6. Suppose 27 = k - j*k. Calculate the remainder when k is divided by 14.
13
Suppose 0 = -5*c + 38 + 17. What is the remainder when c is divided by 2?
1
Let c = 44 - 29. Calculate the remainder when 84 is divided by c.
9
Let r = 4 + -4. Suppose d + 0*d - 29 = r. Calculate the remainder when d is divided by 10.
9
Suppose -2*g - 5*u + 41 = 0, 3*u - 8 + 25 = 2*g. What is the remainder when 23 is divided by g?
10
Let b = -6 + 19. Calculate the remainder when 51 is divided by b.
12
Let s = 7 + -5. Suppose -3*z = -s*z - 23. Calculate the remainder when 45 is divided by z.
22
Let b(z) = z + 21. Calculate the remainder when b(-10) is divided by 5.
1
Let h(q) = -q**2 + 10*q - 2. Let o be h(7). Suppose o = 6*a - 11. Let t = 7 - 3. Calculate the remainder when a is divided by t.
1
Let x = 1 - -14. Calculate the remainder when x is divided by 6.
3
Suppose 2 = 4*a - 2. Suppose -3*l = -a - 29. Calculate the remainder when 27 is divided by l.
7
Let i = -6 + -7. Let g = i + 30. Calculate the remainder when g is divided by 9.
8
Suppose 7*f - 40 = -f. What is the remainder when 19 is divided by f?
4
Let q = -38 - 18. Suppose -25 = 5*t, 4*g + 4*t + 32 - 88 = 0. What is the remainder when q/((-2 - -1)*1) is divided by g?
18
Suppose 4*l - 105 = -0*j - j, -5*l = -j - 120. Calculate the remainder when l is divided by 13.
12
Let r(y) = 6*y + 1. Let v(i) = 28*i + 1. Let n be v(1). Suppose 3*k = 3, 2*k = 2*u + 3*k - n. What is the remainder when r(4) is divided by u?
11
Suppose 8 + 6 = 2*s. Let o = -6 + s. Suppose 3*y - 3*c = -3, -4*y + 2 = -c - c. What is the remainder when y is divided by o?
0
Let t = 12 + 26. Let z(f) = -f**3 - f**3 - f**2 - f - 4 + 3. What is the remainder when t is divided by z(-2)?
12
Suppose 0 = -10*v + v + 18. Let l = 2 - 1. What is the remainder when v is divided by l?
0
Let w be (-94)/(-3) + (-4)/(-6). Let n = 3 + w. What is the remainder when n is divided by 12?
11
Let k = -54 - -119. Suppose 0 = a - 2 - k. What is the remainder when a is divided by 17?
16
Suppose -3*h - 3 = 6, -36 = -2*j - 2*h. Calculate the remainder when j is divided by 8.
5
Let s(p) = p**2 + 7*p + 6. Let o be s(-6). Suppose o = -g - g - 150. Let y = -49 - g. Calculate the remainder when y is divided by 14.
12
Let o be 47/5 - (-6)/(-15). Let v = o + -7. What is the remainder when 5 is divided by v?
1
Let j(i) = i**2 + 12*i - 2. Let z be j(-13). Suppose 3*a - 3*t - t = z, -a = 5*t - 29. What is the remainder when 17 is divided by a?
8
Let s(p) = p**2 - 14*p + 32. What is the remainder when -1 + 0 - (-30)/2 is divided by s(12)?
6
Let o(x) = x**2 - 6*x + 7. Suppose 8 = -2*w + 14. Calculate the remainder when w is divided by o(5).
1
Let n(b) = -2*b**2 + 6*b + 4. What is the remainder when 7 is divided by n(3)?
3
Suppose -4*l + 0*y + 62 = y, 4*y - 68 = -4*l. What is the remainder when l is divided by 9?
6
Suppose c - 3 + 23 = 0. What is the remainder when -33*-2*1/3 is divided by (18/15)/((-2)/c)?
10
Suppose 0*a - 2*a + 95 = -3*z, 0 = -5*z + 25. Suppose -3*m + 38 = -4*s, -3*s - 2 = -14. What is the remainder when m is divided by 572/a - 2/5?
8
Let v = 1 + -2. Let s = 13 + v. Let a(r) = -7*r. What is the remainder when s is divided by a(-1)?
5
Suppose 0 = -2*o - 23 + 137. Suppose -o = 3*g - 6*g. Let u = -3 + 13. Calculate the remainder when g is divided by u.
9
Let p(f) = 2*f**2 - 7*f + 16. Calculate the remainder when p(8) is divided by 18.
16
Suppose 0 = -2*g + 13 - 7, 3*b = 2*g + 30. Suppose 3*q = -4*l + 180, -97 - 128 = -5*l - q. What is the remainder when l is divided by b?
9
Let p(t) = 21*t - 3. Calculate the remainder when 33 is divided by p(1).
15
Suppose 20 = 2*j - 2*s, s + 25 = 3*j - s. Suppose -5*i - 20 = 0, 3*h = 2*h - 5*i - 8. Calculate the remainder when h is divided by j.
2
Let z = 3 - 1. Suppose z*s + s - 45 = 0. What is the remainder when s is divided by 8?
7
Suppose 4*l = 19 + 101. Calculate the remainder when l is divided by 11.
8
Suppose 0 = -0*t - t + u + 10, -2*u = t - 25. Suppose -4*r + 59 = t. What is the remainder when 31 is divided by r?
9
Suppose 0 = -3*v - u + 55, 5*v + u - 104 = -15. Calculate the remainder when 319/11 + (1 - -1) is divided by v.
14
Let c = -133 - -163. What is the remainder when 114 is divided by c?
24
Suppose -39 + 3 = -2*v. What is the remainder when v is divided by (20/(-25))/((-2)/25)?
8
Let l = 79 + -51. Calculate the remainder when l is divided by 5.
3
Suppose 0 = -3*w - 2*k + 99, w = -3*k + 3 + 30. What is the remainder when 63 is divided by w?
30
Suppose 2*h - 3*h + 102 = 0. Calculate the remainder when h is divided by 26.
24
Suppose 3*g = -5*o + 40, 0*g = g - 3*o - 32. What is the remainder when g is divided by 7?
6
Suppose 2 = -3*l + l. Calculate the remainder when 29 is divided by l*7/(14/(-32)).
13
Suppose -4*j = -12, -89 = -0*d - 4*d + 5*j. What is the remainder when 61 is divided by d?
9
Let j be (-406)/(-126) + 4/(-18). Suppose -2*q + 4*f + 266 = 0, -q - 3*f + 477 = j*q. What is the remainder when q is divided by 31?
30
Suppose -s + 52 = -2*n - 2*n, 5*n + 290 = 5*s. Let g = 22 - 2. Calculate the remainder when 0 + s - (-8)/(-4) is divided by g.
18
Suppose 0 = -2*o - o + 4*m + 116, -5*m = 5*o - 170. Let q(y) = -y**2 + 8*y + 1. Calculate the remainder when o is divided by q(6).
10
Let d(v) = v**2 + 4. Let l = 0 - 1. Let o = l - -1. Calculate the remainder when 6 is divided by d(o).
2
Suppose 4*s - 112 = -0*s. What is the remainder when 16 is divided by (-4)/s + 128/14?
7
Suppose -11*h + h + 110 = 0. Let t(g) = g**3 - 4*g**2 + 4*g - 2. Calculate the remainder when t(5) is divided by h.
10
Let l = -48 + 76. Let d = -1 - -11. Calculate the remainder when l is divided by d.
8
Let v = -21 - -31. Let i = v + -5. Suppose 130 = h + h - 5*n, i*h = -2*n + 267. Calculate the remainder when h is divided by 19.
17
Let x(j) = j**2 - 1. Let v(u) = u**2 - 2*u - 1. Let w be v(-1). Let z(h) = 2*h**2 + h - 2. Calculate the remainder when z(w) is divided by x(-2).
2
What is the remainder when ((-20)/3)/((-6)/(17 - -1)) is divided by 7?
6
Let p be 6/8*96/8. Calculate the remainder when (18 + -2 - -1) + -2 is divided by -1 + (p - 2 - -2).
7
Suppose 0*y - 4*y = -12. What is the remainder when 3/(-6)*-8 - (0 - 5) is divided by y?
0
Suppose 2*i = -0*i - y + 5, 50 = 5*i - 5*y. Suppose -6*n = -8*n. Suppose -4*z - 5*s + 47 = n, -5*z - s + 58 = -6. What is the remainder when z is divided by i?
3
Suppose 4*g + 32 = 3*q, 3*q + 5*g = -0*g - 13. Suppose -3*a = 3*u - 45, q*u - 2*a = -0*a + 36. What is the remainder when 21 is divided by u?
10
Let q(p) = 5*p. Let n be q(-2). Let o(z) = z + 21. Calculate the remainder when o(n) is divided by 4.
3
Let f = 65 + -41. What is the remainder when 94 is divided by f?
22
Let j(b) be the third derivative of -b**6/120 - b**5/12 - b**4/6 - b**3/6 + 2*b**2. What is the remainder when 56 is divided by j(-5)?
18
Suppose 0*y + 3*y - 159 = 0. Calculate the remainder when y is divided by 14.
11
Let q = 248 + -105. What is the remainder when q is divided by 36?
35
Suppose -h + 30 = 5. Suppose -q + 7 = -6. What is the remainder when h is divided by q?
12
Suppose -3*d - 2*d = n - 214, -n = 4*d - 171. Suppose -2*v + r + d = -225, 0 = -3*r. What is the remainder when v is divided by 34?
32
Suppose -x = -9 + 15. Calculate the remainder when (-1 - -4)*(-104)/x is divided by 18.
16
Let c(d) = 2*d + 2. Let k(r) = r**3 + 7*r**2 + 6*r + 1. Let y be k(-6).