t r = -12 - a. Calculate the remainder when 21 is divided by r.
10
Let j = 64 - 35. Calculate the remainder when j is divided by 11.
7
Let o = 14 + 2. What is the remainder when 46 is divided by o?
14
Suppose -8*s - 65 = -177. Calculate the remainder when 41 is divided by s.
13
Let x = -80 - -144. What is the remainder when x is divided by 17?
13
Let z = -11 + 16. Calculate the remainder when z is divided by 2.
1
Suppose 2*y = 4*n - 10, n = 4*y - 3*n. Suppose 0 = y*m + 18 - 263. Suppose 0 = w + i - 6*i - 17, 4*w = 5*i + 68. What is the remainder when m is divided by w?
15
Let b(a) = -a**3 - 8*a**2 - 8*a + 10. Let h be b(-7). Let n = 25 - h. Let z = 73 + -51. Calculate the remainder when z is divided by n.
6
Suppose -3*i + 55 + 17 = 0. Let b be 18/i + 211/(-4). Calculate the remainder when (b/6)/((-1)/3) is divided by 9.
8
Let w(y) be the first derivative of y**4/4 + 3*y**3 + 4*y**2 + 2*y + 1. Calculate the remainder when 2 is divided by w(-8).
0
Suppose 42 = 5*g + 2. Calculate the remainder when (248/(-32))/(3 + (-52)/16) is divided by g.
7
Let m(r) be the third derivative of -r**6/120 - 13*r**5/60 - 7*r**4/12 - 5*r**3/3 - 4*r**2. What is the remainder when 2/8 + (-214)/(-8) is divided by m(-12)?
13
Suppose -6 = 3*g - 0*g. Let b be (8/(-12))/(g/12). Suppose -2*o + 4*o = d, b*o = 16. What is the remainder when 23 is divided by d?
7
Suppose -7*o + 4*o + 6 = 0. Suppose -h = -0*h - 9. What is the remainder when (-34 - 0)/((-4)/o) is divided by h?
8
Suppose 0 = -4*u - 3*a + 177, 0 = -4*u + a + 67 + 114. What is the remainder when u is divided by ((-4)/(-6))/(1/18)?
9
Let d(w) = -w**3 - 4*w**2 - w + 2. Let x be d(-4). What is the remainder when 17 is divided by (5 + -2)*20/x?
7
Suppose -5*b = -32 - 8. What is the remainder when 14 is divided by b?
6
Let b = 45 - -64. Suppose 0 = 5*n + 2*o - b, -4*n + 0*n = -4*o - 76. Calculate the remainder when 62 is divided by n.
20
Suppose n + 8 = 5*n. Let a be 52/16 + (-1)/4. Suppose 4 = -2*b + a*b. Calculate the remainder when b is divided by n.
0
Let c = -26 + 175. Calculate the remainder when c is divided by 31.
25
Let i(d) = -3*d - 4. Let j(c) = 4*c - 3. Let n be j(2). Let u be (n/2)/(2/(-4)). Calculate the remainder when 20 is divided by i(u).
9
Suppose 0 = -3*s - 3*u + 39, 32 = 4*s - 2*u - 2. Suppose -4*q = b - 1 - 14, 0 = -b + q. Let r = b + 3. Calculate the remainder when s is divided by r.
4
Suppose -2*j + o + 50 = 0, 25 = -3*j - o + 90. Let i = j - 13. Calculate the remainder when i is divided by 3.
1
What is the remainder when ((-9)/(-12))/((-1)/(-88)) is divided by 18?
12
Let p(l) = l + 15. Calculate the remainder when p(-12) is divided by 1.
0
Suppose 5*b - 57 = 2*b. Suppose 0 = -5*s + 3*s - 5*j + b, s + 2*j = 8. Calculate the remainder when 2 is divided by s.
0
Calculate the remainder when 63 is divided by (-995)/(-30) + 2/(-12).
30
Let d = -12 - -6. Let l be (d/4)/(2/(-4)). Suppose -2*r + 14 = 4*t, -l*t + 13 = r + r. Calculate the remainder when 9 is divided by r.
4
Suppose 4*p + 0*p = 2*o - 54, 15 = -5*p. Let x be -1*4/8*6. What is the remainder when o is divided by ((-2)/x)/(8/132)?
10
Let k = 32 + 12. Let h = -45 - -138. Let x = h - k. What is the remainder when x is divided by 17?
15
Suppose -5*z + 434 = -221. Let h = z - 94. Suppose 3*s - 14 = 5*c, -s + 33 = 2*c + 2*c. Calculate the remainder when h is divided by s.
11
Let p = 23 - 3. Let o = p + -10. Let c = -2 + 8. What is the remainder when o is divided by c?
4
Let x = 59 + -54. Calculate the remainder when 10 + -1 + 2 + -2 is divided by x.
4
Let l = -2 + 5. Suppose -3*u = -l*t - 12, u - 4*t = -0*u + 10. Calculate the remainder when 14 is divided by (1/u)/(2/20).
4
Let y(c) = c**3 - 6*c**2 - 3*c + 3. What is the remainder when 91 is divided by y(7)?
29
Suppose 5 = -k + 1. What is the remainder when (13/(-2))/(2/k) is divided by 4?
1
Let x be 150/9*(-6)/(-5). Suppose -j - j + g = -17, x = -4*g. Suppose -5*l - 20 = 0, -2 = w + 3*l - 0. What is the remainder when w is divided by j?
4
Let q = 39 - 32. What is the remainder when 27 is divided by q?
6
Let m(a) = a**2 + 5*a - 5. Suppose -q - 28 = 3*q. Calculate the remainder when 26 is divided by m(q).
8
Let c be 2 + 0/((-4)/(-2)). Suppose c*k = -2*k + 152. What is the remainder when k is divided by 13?
12
Let w(i) = 2 - i**3 - i**3 - 1. Let t = -4 - -11. Calculate the remainder when t is divided by w(-1).
1
Let n(c) = -c**2 + 8*c + 2. Let j be n(8). Suppose j*d - 21 = -2*v + 39, 3*v = -d + 88. Calculate the remainder when v is divided by 10.
9
Let y = 0 + 2. Let x(j) = -j**3 - 9*j**2 + 11*j + 12. What is the remainder when y is divided by x(-10)?
0
Suppose 0*r - 24 = -3*r. Let u(x) = x**2 + x - 1. Let z(n) = -4*n**2 + 6*n - 8. Let a(o) = -3*u(o) - z(o). Calculate the remainder when a(r) is divided by 2.
1
Let w(p) = -p**2 + 2*p - 1. Let l be w(2). Let v(t) = 30*t**2 + 2*t + 1. What is the remainder when v(l) is divided by 10?
9
Suppose 4*s = -4*a + 3*s + 5, -5 = -s. Suppose u - 52 = -2*o, 0*u + u = -4. Suppose a = 5*l - 103 + o. Calculate the remainder when 57 is divided by l.
12
Let q(t) = -14*t**3 - 2*t**2 + 2. Calculate the remainder when 41 is divided by q(-1).
13
Suppose -3*h = 2*r - 20, -12 = 2*r - 0*h - 5*h. Suppose 0 = 4*y + y + 45. Calculate the remainder when 3/((-18)/4)*y is divided by r.
2
Let s be (-5)/((-5)/(-3)) + 5. Let d be (1 - s)/((-2)/32). Suppose -5*r + 19 = -d. What is the remainder when 18 is divided by r?
4
Let q be 0/(-3 - -1) - -3. Suppose d + q = 16. Calculate the remainder when d is divided by 5.
3
Let g = -110 - -132. Calculate the remainder when 85 is divided by g.
19
Let r(w) = -w**2 - w - 6. Let k be r(0). Let u = k + 15. Calculate the remainder when 0 - (0 - 26) - 0 is divided by u.
8
Let x = 27 + -16. Suppose 4*f - x = -3. What is the remainder when 6 is divided by f?
0
What is the remainder when 8 is divided by (-48)/(-20) - (2 - (-39)/(-15))?
2
Suppose 19 + 29 = n. What is the remainder when n is divided by 13?
9
Suppose -110 = -8*h + 3*h. Calculate the remainder when h is divided by 8.
6
Let v = -24 - -29. Suppose 2*q = -2*q + 36. Let f = v + q. Calculate the remainder when 53 is divided by f.
11
Let j = 0 + 1. Let z = -30 - -42. Calculate the remainder when z is divided by (5/(j - 2))/(-1).
2
Let k = -5 + 7. Suppose -2*z + 2 = 2*o, 0*z - 2*z - 16 = -o. Calculate the remainder when o is divided by k.
0
Suppose 5*i = -l + 4 - 8, -l - 4*i = 1. What is the remainder when 21 is divided by l?
10
Let i = 34 - -28. What is the remainder when i is divided by 13?
10
Suppose -44 = r - 3*r. Let w(d) = -d**2 - 7*d. What is the remainder when r is divided by w(-6)?
4
Suppose 10 = -5*r, 118 = 5*h - 4*r - 0*r. Suppose i + 22 = 3*n, -3*i + 72 - 26 = 5*n. Calculate the remainder when h is divided by n.
6
Let v(o) = o**2 - 7*o + 7. What is the remainder when v(-5) is divided by 100/6 + 2/6?
16
Let k(d) = 2*d - 19. What is the remainder when k(14) is divided by 6?
3
Let i = -10 - -32. Suppose 4*h - i = -2. Suppose 2*l - h*l = 4*p - 28, -32 = -3*p - 5*l. Calculate the remainder when p is divided by 3.
1
Suppose -2*f - 5 = -23. What is the remainder when 34 is divided by f?
7
Suppose -30*u - 24 = -33*u. Calculate the remainder when 173 is divided by u.
5
Calculate the remainder when (-5)/(15/(-12)) + 72 is divided by 39.
37
Suppose 5*w - 2*w = 12. Let v = -8 + 4. What is the remainder when 10/(-1*v/4) is divided by w?
2
Suppose 2*c - 3*z = 6*c - 89, -3*z - 3 = 0. What is the remainder when c is divided by 12?
11
Let f(b) = b**2 + 8*b + 3. Let j(i) = -i**3 - 7*i**2 - 2*i - 10. What is the remainder when j(-7) is divided by f(-8)?
1
Suppose -36 = -3*i - i. What is the remainder when i is divided by 4?
1
Suppose -8*c + 7*c + 11 = 0. Let j(m) = m**3 + 2*m**2 - m - 3. Let g be j(-3). Let h = g + c. What is the remainder when h is divided by 2?
0
Suppose u - 2*p - 13 = 0, -3*p = 3*u - 2*p - 4. What is the remainder when 10 is divided by u?
1
Let n(u) = -23*u - 13. What is the remainder when n(-5) is divided by 26?
24
Let y(i) = -6*i + 9 + 2*i + i**2 - i. Suppose 3*f = 12 + 9. What is the remainder when y(f) is divided by 12?
11
Suppose 2*m + 8 = 0, -t - 136 = -0*t - 4*m. What is the remainder when t/(-28) - (-3)/(-7) is divided by 3?
2
Suppose -3*t + 2*l + 163 - 23 = 0, -3*t + 134