 the remainder when -3 + 12*(-8)/(-6) is divided by w?
3
Let o(t) = t**3 + 7*t**2 + 3*t - 1. Let j be o(-5). Suppose -4*n + j = -70. Calculate the remainder when n is divided by 7.
5
Let x = 199 - 176. Suppose -2*u + l = -12, 2*u + 2*l = -l + 28. Calculate the remainder when x is divided by u.
7
Suppose 2*o = -3 + 135. Let i(q) = -q**2 - 10*q - 3. What is the remainder when i(-6) is divided by o/8 - 17/68?
5
Suppose 7 = i - 21. Let t = 1 + i. Suppose 0 = 2*s - s - 15. What is the remainder when t is divided by s?
14
Let s(z) = z**3 - 6*z**2 - 6*z + 8. What is the remainder when 73 is divided by s(7)?
13
Suppose -89 + 4 = -5*x. Suppose 3*h - 8 = -2*m, 12 = -5*h - 8. Calculate the remainder when x is divided by m.
7
Suppose -4*s = 2*c - 4*c - 42, 51 = -3*c + 3*s. Let m = c - -24. What is the remainder when 0 - (-3)/2*14 is divided by m?
10
Let c(b) = -b**2 + 14*b + 30. What is the remainder when 58 is divided by c(15)?
13
Let z(s) = 3*s**2 + 5*s + 4. Calculate the remainder when 23 is divided by z(-2).
5
Suppose -3*n - 97 = 2*r - r, -2*r + 5*n = 194. Let z be r/(-5) - 2/5. Suppose 7 = -i + z. Calculate the remainder when 21 is divided by i.
9
Suppose 2*c + 2 = 30. Suppose 0 = 3*b - 19 - c. What is the remainder when b is divided by (-1)/(-1)*(6 - -1)?
4
Let a = 5 - 1. Suppose r - 5*n - 17 = 0, 5*r - 4*n - 17 = 4*r. Suppose a*b - 15 = r. What is the remainder when 14 is divided by b?
6
Suppose 2*j - 16 = 6*j. Let x(p) = p**3 + 3*p**2 - 6*p - 2. Let t be x(j). What is the remainder when 5 is divided by t/21 + 36/21?
1
Let l = -14 + 21. Let o = 8 + -4. What is the remainder when l is divided by o?
3
Let y = 4 + 33. Calculate the remainder when y is divided by 10.
7
Let v(u) = -u + 0*u**2 - u**2 - 2*u - 5*u + 4. What is the remainder when v(-8) is divided by 2?
0
Calculate the remainder when ((-24)/5)/((-2)/5) is divided by 3.
0
Suppose 4*x - 5*w - 45 = 0, 4*w + 0 = x - 3. Calculate the remainder when 43 is divided by x.
13
Let r(k) = 51*k**2 + k + 1. Calculate the remainder when r(-1) is divided by 14.
9
Suppose 1 = 4*m - 19. Suppose 105 = m*i - 2*n, -3*i - 2*i + 110 = -3*n. Suppose 39 + 16 = 5*l. What is the remainder when i is divided by l?
8
Suppose 0 = -2*b - b. What is the remainder when 43 is divided by (-1)/(b + (-2)/46)?
20
Calculate the remainder when 23 is divided by 12 - ((-1 - 0) + 0).
10
Suppose 0 = -33*g + 35*g - 70. Let j = 7 + -2. Suppose j*q = -0*h + 3*h + 63, 2*h = -q + 10. What is the remainder when g is divided by q?
11
Suppose 3*h - 48 = -h. Calculate the remainder when 21 is divided by h.
9
Suppose q - 6*v + 3*v = 15, -2*v = -6. Suppose -k + 377 = 4*i, -5*i + 0*k + 475 = 2*k. What is the remainder when i is divided by q?
21
What is the remainder when 13 is divided by (-10)/(1 - (0 - -3))?
3
Let n = 16 - 38. Let v = n - -48. Calculate the remainder when v is divided by 9.
8
Suppose 0 = -w + 4 - 8, 3*q - 4*w = 220. What is the remainder when q is divided by 23?
22
Let h(l) = l - 11. Suppose 3*w - k - 6 = 0, w + 3*w - k - 8 = 0. What is the remainder when -8*(w + -4)/2 is divided by h(14)?
2
Let m = -4 + 3. Let g = -1 + m. Calculate the remainder when 11 is divided by (-2 - 5/g)*12.
5
Let x(o) = -8*o - 6. Suppose 5*z = -59 + 24. Let a be x(z). Let g = a - 24. What is the remainder when g is divided by 14?
12
Let z(k) = -k**3 + 5*k**2 + 6*k + 2. Let c be z(6). Suppose c*t + 3 = 11. Let r = t - -1. What is the remainder when 7 is divided by r?
2
Suppose -71 = -v - 11. Calculate the remainder when v is divided by 31.
29
Let g = -6 + 10. Suppose -g - 16 = -5*d. What is the remainder when 11 is divided by d?
3
Let n(v) be the third derivative of 7*v**5/12 - 3*v**2 - 4*v. Suppose 3 = 5*r - 2. Calculate the remainder when n(r) is divided by 12.
11
Let z = -20 + 36. What is the remainder when 27 is divided by z?
11
Suppose -72 = -2*d - 5*m, -d + 2*m + 22 = -32. What is the remainder when d is divided by ((-38)/10 - -3)/(3/(-60))?
14
Let f = 95 + -52. Suppose -g + f = 14. What is the remainder when g is divided by 15?
14
Suppose -2*j + 4*j = 124. Let f(p) = -4*p - 4. Calculate the remainder when j is divided by f(-5).
14
Let o(d) = -d + 13. Calculate the remainder when 51 is divided by o(0).
12
Let d be 2/(-2) - 4/(-2). What is the remainder when 17 is divided by 14/2 - (d + 0)?
5
Suppose 2*b - 16 = -4*v, 4*v + 0*v + 5*b - 28 = 0. Let s(f) = 3*f**3 - 4*f. Calculate the remainder when 29 is divided by s(v).
13
Calculate the remainder when (4 - 6)/((-8)/412) is divided by 13.
12
Let y = -15 - -17. Suppose -i - 3*i + 18 = f, -2*i = -y*f + 26. Calculate the remainder when 53 is divided by f.
11
Let r = 36 - 19. Suppose 5*g = 15, -p - 3*p + g + 33 = 0. Let m = 18 - p. Calculate the remainder when r is divided by m.
8
Let u be 1 - (2*-12 + -2). Let o = u + -2. Calculate the remainder when o is divided by 9.
7
Suppose -2*g + 5*g = 6, -4*n - 4*g - 120 = 0. What is the remainder when 15 is divided by (12/8)/((-6)/n)?
7
Let k(l) be the third derivative of -l**4/24 - l**3/6 + 3*l**2. Let z be k(3). What is the remainder when 177/7 + z/14 is divided by 13?
12
Let x(s) = -2*s**2 - s + 21. Let o(j) = j**2 + j - 10. Let m(p) = 9*o(p) + 4*x(p). Let b be m(-7). Calculate the remainder when (2/4)/(b/368) is divided by 13.
10
Suppose 4*q = 4*b + 182 - 50, -q - 2*b = -36. What is the remainder when q is divided by 18?
16
Suppose 4*f + 8 = 32. Let a(z) = -6*z + 3. Let p(q) = -7*q + 4. Let h(i) = 6*a(i) - 5*p(i). What is the remainder when f is divided by h(-5)?
0
Let q = 30 - 28. Calculate the remainder when 4 is divided by q.
0
Let i(p) = p**3 + 5*p**2 - 2*p - 5. Let v(r) = -r**2 + 8*r - 2. What is the remainder when i(-4) is divided by v(7)?
4
Let w = 15 - 1. Let o(k) = 7 - 3 - 5*k - 4*k. Calculate the remainder when o(-4) is divided by w.
12
Suppose 5*u - 111 = 4*x, -2*u - 2*x = -3*u + 27. Let k(o) = -3*o + 1. Calculate the remainder when u is divided by k(-3).
9
Let y be ((-6)/4)/((-2)/(-8)). Suppose 19*j - 45 = 24*j. Let a = y - j. What is the remainder when 7 is divided by a?
1
Let t be (2 + 1 - 3) + 3. Let a = t - -9. What is the remainder when 35 is divided by a?
11
Let d be -9*(-1)/(2/36). Suppose -5*k = -3*i + 156, 7*i - d = 4*i + 3*k. What is the remainder when i is divided by 15?
12
Suppose -20 = -8*b + 276. Calculate the remainder when b is divided by 22.
15
Suppose -4*o = b - 156, 2*o = -0*b + 3*b + 64. Calculate the remainder when o is divided by 13.
12
Let x be 3/(9/6) - -2. Let q(i) = 2*i**2 - 2*i - 1 + x + 7*i. Calculate the remainder when 10 is divided by q(-3).
4
What is the remainder when (-1 + 0)*(-195)/5 is divided by 21?
18
What is the remainder when (-202)/(-5) + 6/10 is divided by 14?
13
Let z = 137 + -121. Suppose 4*b = b. Suppose -2*a - 2*a + 120 = b. Calculate the remainder when a is divided by z.
14
Suppose -22 + 4 = -2*k. Calculate the remainder when k is divided by 6.
3
Let q(m) = -2*m**3 - 8*m**2 - 12*m + 2. Let i(c) = 3*c**3 + 12*c**2 + 18*c - 3. Let a(h) = -5*i(h) - 7*q(h). What is the remainder when a(-5) is divided by 19?
18
Let c = -72 - -150. Suppose 8 + 17 = 5*g, -4*y + c = -2*g. Calculate the remainder when y is divided by 12.
10
Suppose -3*v - 18 = -2*v. Let g = 33 + v. Calculate the remainder when 29 is divided by g.
14
Let h = 15 - 3. Suppose -19*w - 136 = -23*w. Calculate the remainder when w is divided by h.
10
What is the remainder when 39 is divided by (-39)/(-4) + (-1)/(-4)?
9
Suppose -14 = -5*a + 4*b, 5*a + 4*b + b - 5 = 0. Let r = 12 + a. What is the remainder when 55 is divided by r?
13
Let l(u) = -u + 4. What is the remainder when 11 is divided by l(0)?
3
Suppose 3*r = 5*r - 36. Calculate the remainder when 70 is divided by r.
16
Let p(m) = m**3 + m**2 - m + 11. Let q be p(0). Let b = q - 3. Let t(u) = 2*u**3 - 2*u**2 - 3*u - 4. Calculate the remainder when t(3) is divided by b.
7
Let f = 1 - -6. Suppose -k + 35 = -f. Calculate the remainder when 41 is divided by 1/((-2 + 5)/k).
13
Suppose 5*a + 0*a - 38 = -4*q, a = -5*q + 16. Let k = 6 + 13. Let m = -8 + k. Calculate the remainder when m is divided by a.
5
Let h(o) = o**3 - 5*o**2 - 4*o - 4. Calculate the remainder when h(6) is divided by (0 - (1 + 2))*-1.
2
Let n(x) = -x - 1. Let a be n(-1). Suppose 3*u - u - 40 = a. Calculate the remainder when 39 i