is divided by m.
0
Suppose 118 + 148 = 7*t. Calculate the remainder when t is divided by 8.
6
Let s(y) = -y**2 + 7*y - 9. Let m be s(6). Let q be 2/m - (-46)/6. Let d = q + -4. What is the remainder when 8 is divided by d?
2
Suppose -2*g + 18 = -0*g. Let c(b) = b**2 - 8*b - 7. What is the remainder when g is divided by c(9)?
1
Suppose -2 = -2*a + 4. Suppose 2*d - 43 = -159. What is the remainder when a/(-2) + d/(-4) is divided by 7?
6
Suppose 186 = 5*i + b - 29, 5*i + 5*b = 215. What is the remainder when i is divided by 2/(-10) + (-228)/(-15)?
13
Suppose 5*p - 7 = 2*o, -4*p = -p - 2*o - 1. Suppose -b - 54 = -p*b. Suppose 0 = 4*a - a - b. Calculate the remainder when 26 is divided by a.
8
Suppose 6*d - 3*d - 33 = 0. Calculate the remainder when 41 is divided by d.
8
Suppose -3 = -2*b + 3. Suppose -5*d = -0*d + 3*y - 71, -b*y = -6. Calculate the remainder when 37 is divided by d.
11
Let h(k) = -k + 21. Let q(m) = m + 3. Let g be q(-12). What is the remainder when 117 is divided by h(g)?
27
Let q = 47 - 34. Calculate the remainder when 32/24*(-114)/(-4) is divided by q.
12
Suppose -7*m = -8*m + 21. Suppose 0 = 2*h - h - 12. What is the remainder when m is divided by h?
9
Suppose -3*h + 25 = 2*h, -5*y - 3*h + 265 = 0. Suppose -147 = -5*w - 2. Suppose -w - 56 = -5*r. Calculate the remainder when y is divided by r.
16
Let p(v) = 2*v**2 - 4*v. Let f be p(4). Suppose -2*i + f = -0*i. Let c = 3 + i. Calculate the remainder when c is divided by 4.
3
Let a be (-4)/(-12) - (-5)/3. Suppose 0 = a*m - 6 - 4. What is the remainder when m is divided by 2?
1
Let b = -11 - -52. What is the remainder when b is divided by 21?
20
Let x = 272 + -183. Calculate the remainder when x is divided by 32.
25
Let i(s) = s**2 + 4*s + 7. Let d be i(-5). Suppose -24 = -x - d. Calculate the remainder when x is divided by 5.
2
Let c(j) = -j**2 + j + 1. Let u be c(2). Let s(r) be the third derivative of 7*r**5/60 + r**3/6 + 2*r**2. Calculate the remainder when 22 is divided by s(u).
6
Suppose 6*t = t - 5. Let q(f) = -60*f**3 - 1. Let l = -65 - -85. Calculate the remainder when q(t) is divided by l.
19
Let t be 14/21 + 29/(-3). Let c = -5 - t. Suppose 3*y - 36 = -2*d, -3*y = c*d + d - 45. What is the remainder when 38 is divided by y?
8
Let f(u) = u**3 - 5*u**2 + 6. Let b be (2 + -7)*(2 + -3). What is the remainder when 10 is divided by f(b)?
4
What is the remainder when 10 is divided by (-92)/(-16) + 4/16?
4
Suppose 2 = -2*u + 5*a, -3*a = -5*u - 6*a + 57. Suppose 0 = 2*d + 3*r - u, -d = 3*r - 4*r - 17. Calculate the remainder when 34 is divided by d.
10
Let v = -49 + 25. Let y(i) = -7*i + 3. Calculate the remainder when y(-6) is divided by ((-64)/v)/((-2)/(-12)).
13
What is the remainder when 33 is divided by ((-34)/4)/(2/(-4))?
16
Suppose -2*q + 5*p + 28 = 0, -5*q + 3*p + 12 = -20. What is the remainder when 10 is divided by q?
2
Suppose 2*d - 3 - 143 = 0. What is the remainder when d is divided by 15?
13
Let x = 3 - 2. Let r be (1 - -1) + 3 - x. Suppose 5*n - 24 = -4*u, 2*n - 9*u + r*u - 3 = 0. What is the remainder when n is divided by 3?
1
Let p(j) = 8*j - 71. What is the remainder when p(15) is divided by 17?
15
Suppose -6*t + 74 + 70 = 0. Suppose 4*r - t = 12. Let v(n) = 14*n - 3. What is the remainder when v(2) is divided by r?
7
Let s(g) = g. Let o be s(4). Suppose 120 = -m + o*m. Calculate the remainder when m is divided by 21.
19
Suppose -z = -2*z - 3*f + 5, 5*z = 3*f + 7. What is the remainder when 18 is divided by (6 - 5)*z*5?
8
Let h(y) = y**2 + 5*y. Let a be h(-4). Let m = a + 7. What is the remainder when m is divided by (-10)/2*(-2)/5?
1
Let o = -20 + 39. Suppose 0 = -a - 4*a + 5. Calculate the remainder when o is divided by (a*-1)/((-1)/7).
5
Let b(w) = w + 21. Let i be b(-16). Suppose i*r - 45 = -3*x, -3*x - 2*x = 2*r - 56. What is the remainder when 27 is divided by x?
7
Let o = -40 + 77. What is the remainder when o is divided by 13?
11
Let j(t) = -t. What is the remainder when 11 is divided by j(-5)?
1
Calculate the remainder when 22 is divided by (-189)/(-15) - (34/(-10) - -3).
9
Let f(i) = -i**3 + 5*i**2. Let l be f(5). Suppose l*s = s - 4. Suppose -s*b + 27 = 11. Calculate the remainder when b is divided by 2.
0
Suppose -4*s + 20 = -20. Let n = -3 + s. Calculate the remainder when 25 is divided by n.
4
Let t(w) = 2*w**2 - w - 2. Let a be (0 - 2/(-4))*4. Let u be t(a). Suppose -5*p + 25 = 0, 2*p - 2 = -2*h + u*p. What is the remainder when 17 is divided by h?
5
Let r = 21 - 5. Suppose 0 = -2*b - 71 + 21. Let l = 21 - b. Calculate the remainder when l is divided by r.
14
Suppose 3*p - 7 - 47 = 0. Suppose -3*h = -p - 39. What is the remainder when 37 is divided by h?
18
Let i = 15 + -2. Suppose 0 = -x - o + 20, 4*x - 2*o + 29 = 139. Calculate the remainder when 635/x - (-2)/(-5) is divided by i.
12
Suppose 6*t + 3*u = 2*t - 70, -4*u = -5*t - 103. Let s = t + 32. Calculate the remainder when 64 is divided by s.
12
Let w(z) = 2*z**2 - 5*z + 3. What is the remainder when 14 is divided by w(3)?
2
Suppose 0 = -4*v + 3*w - w + 60, 4*w = 3*v - 40. What is the remainder when 45 is divided by v?
13
Let p(j) = j**3 + 16*j**2 - j - 10. What is the remainder when 10 - 2*2/(-4) is divided by p(-16)?
5
Let a = -58 - -32. Let j = a + 36. Let b = j - 2. Calculate the remainder when 21 is divided by b.
5
Let a be (-264)/(-9)*(-9)/(-6). Suppose a = 2*h - 0*h. Calculate the remainder when 64 is divided by h.
20
Let o(g) = -g**3 - 1. Let m be o(1). What is the remainder when ((-66)/4)/(m/4) is divided by 18?
15
Suppose 7*h = 10*h - 39. Calculate the remainder when h is divided by 6.
1
Let o be 1 + -2 + (-2 - -1). Let w = -3 - o. What is the remainder when (16 + w)/(-1 - -2) is divided by 8?
7
Let i(z) = -z**2 - 16*z - 20. Suppose 2*a + 32 = -2*c, -3*c + 6*a = 2*a + 34. Let u be i(c). Let y = -5 + u. Calculate the remainder when 11 is divided by y.
2
Suppose -4*f - 6*f + 60 = 0. Let s(o) = 2*o**2 - 5*o - 3. Let z be s(-3). Suppose 3*x = x + z. Calculate the remainder when x is divided by f.
3
Suppose 2*d - 5 = 1. Let q = -1 - -7. What is the remainder when q + (-2)/((-2)/2) is divided by d?
2
Let o(x) = x**2 - 15*x - 3. Suppose -18 + 6 = -2*s. Let u(v) = -v. Let j(a) = s*u(a) - o(a). What is the remainder when 43 is divided by j(8)?
10
Let s(d) = 2*d**2 - 5*d - 3. Let u(b) = -b. Let x be u(-1). What is the remainder when (x + -2)/((-4)/64) is divided by s(4)?
7
Suppose m + 0*m + 5 = 0. Let x = m + -3. Let h = x - -19. What is the remainder when 20 is divided by h?
9
Let a = 232 - 229. Let f(c) = 2*c - 6. What is the remainder when f(5) is divided by a?
1
Let r(s) = -s**2 - 2*s + 38. Let g = -33 + 46. What is the remainder when r(0) is divided by g?
12
Let p(u) = u - 3. Let q be p(5). Suppose 0 = -g - q*l - 2*l + 8, -2*g = -l + 11. Calculate the remainder when 30/g*(-8)/3 is divided by 7.
6
Suppose s - 640 = -4*s. Suppose u = -2*k + 5*u + 36, -k + 5*u + 6 = 0. What is the remainder when s is divided by k?
24
Suppose z - 82 = -5*h, z - 31 = h - 3*h. Suppose 4*s = 7 + 9. Suppose -220 = -s*q - j + 6*j, 4*q + j = 196. Calculate the remainder when q is divided by h.
16
Suppose 5*n - 2*f + 64 = 0, 2*n + 0*f = -f - 31. Let j = -5 - n. Suppose -17 = -0*s - s. Calculate the remainder when s is divided by j.
8
Suppose n - 2*n + 5 = 0. Suppose n*k - 105 = -0*k. Calculate the remainder when 81 is divided by k.
18
Suppose -4*r + 38 = m, 3*m - 28 = -2*r - 2*m. Suppose 3*n - 20 = -2*n. What is the remainder when 51/12*1*n is divided by r?
8
Suppose r - 10 = 14. Suppose -10*b + 8*b = -r. Calculate the remainder when 34 is divided by b.
10
Suppose -h + 6*h - 15 = 0. Let i(y) = y**2 - 5*y + 7. What is the remainder when i(5) is divided by h?
1
Suppose 16 = -2*l - 2. Suppose 0 = x + 4*x + 2*r + 77, 3*r = -5*x - 78. Let v = l - x. What is the remainder when 16 is divided by v?
4
Let u = 8 - 5. Suppose u*a + a + 8 = 0. What is the remainder when -4*1/(a/9) is divided by 10?
8
Let z be (-7 + 4)/(0 + -3). Suppose 5*r + z = 16. What is the remainder when 6 is divided by r?
0
Let g = 10 - -6. Suppose 2*h + 12 - 128 = 0. Suppose -4*p - 12 = 0, -4*u + 5*p = 7 - h. What is the remainder when g is divided by u?
7
Let l(d) = -d**2 - 6*d + 11. Let t be l(-9). Let w = 51 + t. Calculate the remainder when w