z*v - 8 = 2. What is the remainder when 18 is divided by v?
3
Suppose -2*d = 257 - 21. Let z be d/(-6) + (-4)/(-12). Suppose 4*f - 3 - 19 = j, -z = -3*f - j. Calculate the remainder when 15 is divided by f.
3
Let n(j) = 2*j**2 - 13*j - 22. What is the remainder when n(9) is divided by 13?
10
Let l be (-6)/(-1 + -2)*-2. Let c = 19 + l. Calculate the remainder when c is divided by 9.
6
Let x = 1 - 0. Let d(b) = 7*b**3 + b**2 - 6*b - 1. Let j(g) = g. Let t(n) = d(n) + 6*j(n). Calculate the remainder when 13 is divided by t(x).
6
Let h(l) = 4*l**2 - 2*l - 1. Calculate the remainder when 56 is divided by h(-2).
18
What is the remainder when 51 is divided by 1/(-7) + (-384)/(-42)?
6
Let c = -3 + 6. Suppose 2*u = -c*j + 104, 4*j = -5*u - 89 + 335. What is the remainder when u is divided by 16?
14
Let q be (-1 + 1)/(8 + -6). Suppose q = -2*c - 0*c + 36. Let y = 80 + -46. Calculate the remainder when y is divided by c.
16
Let q(s) = -8*s**3 + 2*s**2 + 4*s + 3. Calculate the remainder when q(-2) is divided by 17.
16
Let n = 3 - 2. Let b(p) = -p - 3. What is the remainder when b(-5) is divided by n?
0
Suppose 3*q = 5*x + 67, 22 = 3*q + 6*x - 2*x. What is the remainder when 38 is divided by q?
10
Let n(a) = -a**2 - 5*a + 3. Let z be n(-4). Let t(o) = 2*o - 1 + 6*o - o**3 + 6*o**2 + 7 + 3. Calculate the remainder when 30 is divided by t(z).
14
Let o(l) = -20*l. Let a be o(1). Calculate the remainder when 117/5 + 8/a is divided by 0 - 0 - (-6 + -2).
7
Let q = -121 - -133. Calculate the remainder when 21 is divided by q.
9
Suppose 0 = -3*h + 2*h - 6. Let d(r) = -r - 2. What is the remainder when d(h) is divided by 2?
0
Let a(f) = 3*f - 9. Suppose -5*y + 6 = -2*w - 29, 4*y - 16 = 4*w. Calculate the remainder when a(y) is divided by 5.
3
Let x(l) = -25*l**3 + 2*l**2 + l. Suppose y - 2 = -3. What is the remainder when x(y) is divided by 9?
8
Suppose 0 = -k - 5*o + 25, -2*o = 2*k + 2*o - 26. Let c(s) = 12*s. Let h be c(3). Suppose -p = -4*p + h. What is the remainder when p is divided by k?
2
Suppose -4*k = l - 32, -2*l - 4*k + 80 = 3*l. What is the remainder when 35 is divided by l?
11
Suppose 3*m + 4*t - 282 = 8*t, 0 = -3*m - 4*t + 282. Calculate the remainder when m is divided by 5.
4
Let a = 30 - 13. Suppose 3*t = 13 + a. Suppose 3*m - 14 = t. Calculate the remainder when m is divided by 5.
3
Suppose -8*o + 7 + 1 = 0. What is the remainder when 4 is divided by o?
0
Let t(g) = -g**2 + 7*g - 3. Calculate the remainder when 16 is divided by t(4).
7
Suppose -2*n = o - 36, 3*o + o - 124 = -3*n. Calculate the remainder when o is divided by 11.
6
Let h(a) = -5*a + 2*a - 1 - 2*a + 2*a. Calculate the remainder when h(-10) is divided by 16.
13
Let c = 11 - 9. Let d(u) = 11*u - 1. What is the remainder when d(c) is divided by 11?
10
Let n(r) = r**2 + 2*r - 16. Calculate the remainder when 45 is divided by n(-6).
5
Let s(f) = -4*f + 28. Calculate the remainder when 28 is divided by s(5).
4
Let w = -18 + 25. Calculate the remainder when 34 is divided by w.
6
Let b(k) = k - 14. Let c be b(17). Suppose -33 + 27 = -c*j. Let l(q) = -q + 7. Calculate the remainder when l(0) is divided by j.
1
Let n = -4 - -36. What is the remainder when n is divided by 11?
10
Suppose -18*d + 10*d = -72. Calculate the remainder when (-1 + 0)/((-2)/66) is divided by d.
6
Let r(j) = j**3 - 9*j**2 - 7*j - 15. Calculate the remainder when 1/(-1) + 46 + -2 is divided by r(10).
13
Suppose -2*k + 55 = 5*g, g + 0*k = 2*k - 1. Calculate the remainder when (-2)/3 + 564/g is divided by 21.
20
Suppose -5*j + 49 + 43 = 3*v, 0 = -3*j - 4*v + 64. What is the remainder when j is divided by (-122)/(-14) - (-14)/49?
7
Let k = 56 + -24. Calculate the remainder when 92 is divided by k.
28
Suppose -5*o - 1 = z, 2*o + 2*z - 5 = 1. Let y be (14/5)/(o/(-10)). Let w = y - 7. What is the remainder when w is divided by 11?
10
Let m(l) = l**2 + 5*l + 8. Suppose h - 3*h - y = -87, -5*h - 2*y + 215 = 0. What is the remainder when h is divided by m(-6)?
13
Suppose 2*k = -4*q + 3*k + 99, 9 = -3*k. Let z = -84 + 97. Calculate the remainder when q is divided by z.
11
Calculate the remainder when 47 is divided by ((-96)/(-20))/(2/5).
11
Let r(z) = -6*z**3 - 2*z**2. What is the remainder when 159 is divided by r(-2)?
39
Suppose 2*g - 55 = -3*i, -4*g + 3*i + 190 = g. Let z = 55 - g. Calculate the remainder when z is divided by 7.
6
Suppose -101 = -4*p - w, -3*p = 2*p + 5*w - 115. Let v(m) = 9*m. What is the remainder when p is divided by v(1)?
8
Suppose -78 = -a - 2*a. Calculate the remainder when a is divided by 14.
12
Suppose -3*m = -s, 5*m + 3*s = s. Suppose -g + 1 + 0 = m. Suppose i - 4*j = -7, 3*i - j = -6*j + 13. Calculate the remainder when g is divided by i.
0
Let x = -130 + 232. Calculate the remainder when x is divided by 7.
4
Suppose 3*a - 4*a + 16 = 0. What is the remainder when 55 is divided by a?
7
Suppose 8*a - 5*a = -y + 100, 4*a - 155 = 3*y. Calculate the remainder when a is divided by 19.
16
Let w be -5*(45/3)/(-3). Suppose -2*r + w = 9. What is the remainder when r is divided by (-1 + 6)/1 + 0?
3
Let o(j) = j**2 - j. What is the remainder when 23 is divided by o(-2)?
5
Calculate the remainder when 38 is divided by (-19)/(-2) - (-3)/6.
8
Suppose 2*h - 6*h + 12 = 0. What is the remainder when 9 is divided by h?
0
Calculate the remainder when 18 is divided by 5/1 + (-2 + -4 - -10).
0
Let a(q) = -q + 10. Let c be a(6). Let b = c + -1. Let w = b - -1. Calculate the remainder when 6 is divided by w.
2
Let x = 1 + -2. Let o be x/(-3) - 87/(-9). What is the remainder when 11 is divided by o/4*(-8)/(-5)?
3
Suppose 5*b = w + 68, -4*b + 4*w = 2*w - 52. What is the remainder when 38 is divided by b?
10
Let p(c) = -19*c**3 + 6*c**2 + 3. Let d(m) = 20*m**3 - 7*m**2 - 4. Let b(h) = -4*d(h) - 5*p(h). Calculate the remainder when 39 is divided by b(1).
11
Let w(q) = -q**3 - q**2 - 4 + 0 + 0*q + 5*q - 4*q**2. Let f be w(-6). Suppose -3*m = -f*m - 21. Calculate the remainder when 62 is divided by m.
20
Suppose -5*p - 1 + 46 = 0. Let i(x) = -x + 6. Let m be i(3). Let a = m + 2. Calculate the remainder when p is divided by a.
4
Let u(r) = r**2 + 22*r - 2. Suppose 4*c + 5*j - 14 = 0, 3*c + 3*j - 26 = 7*j. Calculate the remainder when u(-23) is divided by c.
3
Suppose 2*q - 24 - 36 = 0. Calculate the remainder when (-95)/(-10)*(-3 - -4 - -5) is divided by q.
27
Suppose 0 - 4 = 4*n. Let b = 1 + n. Suppose -4*w + 106 + 66 = b. What is the remainder when w is divided by 15?
13
Calculate the remainder when 127 is divided by (1*8)/((-3)/(-12)).
31
Let i be 2 + -1 + 0/(-2). Let w be -3*i/2*-10. Suppose w = 4*u - u. What is the remainder when 8 is divided by u?
3
Suppose 3 = h - 2. Let q = 1 - -4. Let a(r) = 5*r - 6. What is the remainder when a(q) is divided by h?
4
Suppose -25 - 84 = -s. What is the remainder when -1 + -3 + 2 + s is divided by 27?
26
Suppose 4*q + 2 = 22. Suppose 24 = 3*s - 2*s - 3*k, 4*k = -q*s + 158. What is the remainder when s is divided by 16?
14
What is the remainder when 27 is divided by 7/1*18/21?
3
Let c = -3 - -56. Calculate the remainder when c is divided by (-15 - (-2 - 2))/(-1).
9
Let n = 17 - 15. Let t(b) = b**3 - 4*b**2 - 2*b - 4. Let q be t(5). Suppose 21 = 3*s - 4*v, 4*v + q - n = -s. Calculate the remainder when 7 is divided by s.
1
Suppose z = -z + 2*s + 96, 0 = -3*z - 4*s + 151. Let l(d) = d + 22. Calculate the remainder when z is divided by l(-5).
15
Let i(t) be the second derivative of -t**4/12 - 13*t**3/6 - 15*t**2/2 - 3*t. Let l be i(-10). Let n = -5 + l. Calculate the remainder when 19 is divided by n.
9
Suppose 36 - 130 = -2*s. What is the remainder when s is divided by 25?
22
Suppose 2*t + 12 = -0*p + p, -t = -5. What is the remainder when 2/(-17) + (-3580)/(-85) is divided by p?
20
Suppose -2*k - 2 = 0, w - 9 - 24 = 3*k. What is the remainder when 119 is divided by w?
29
Let g = 4 - 1. Let w be ((-24)/5)/(2/(-30)). Suppose k + g*k = w. Calculate the remainder when 34 is divided by k.
16
Let w(h) = h + 1. Let o be w(5). Suppose o*g - 44 = 2*g. Calculate the remainder when 20 is divided by g.
9
Let w(f) = 2*f**2 - f - 7. What is the remainder when 37 is divided by w(3)?
5
Suppose -4*b - 7 = -5*a, -4*b = -9*b + 4*a - 2. Suppose -6*v + v = -b*u - 17, 0 = u + 3*v - 19. Calculate the remainder w