w = -72 + 105. What is the remainder when 162 is divided by w?
30
Suppose z + 3*y - 56 + 1 = 0, 0 = -4*y. Suppose 0*m - 2*m = -5*d - 28, -5*d = m - 29. Calculate the remainder when z is divided by m.
17
Suppose 2*h + 49 = -41. Let w = -14 - h. Calculate the remainder when w is divided by 16.
15
Let k(q) = -4*q**3 - 2*q**2 + 5*q + 6. Let f be (-26)/6*(-9)/3. What is the remainder when k(-2) is divided by f - (0 + (0 - -2))?
9
Let v(b) = -3*b - 5. Calculate the remainder when (-80)/6*(-3)/2 is divided by v(-4).
6
Suppose -40 = -4*a - v, 29 = a + 2*v + 3*v. Suppose -5*h - 5*h = -50. Calculate the remainder when a is divided by h.
4
Let l be (-2 + 5)/((-2)/(-6)). Suppose l + 2 = v. What is the remainder when v is divided by 4?
3
Suppose 0*z - 5*z = -1275. Suppose z = 2*s + 81. Calculate the remainder when s is divided by 18.
15
Suppose 2*r - 1 = 13. What is the remainder when 25 is divided by r?
4
Suppose 5*c - 5 = 0, -4*z - 18 + 69 = -5*c. Let t = -6 - 7. Let m = t - -21. What is the remainder when z is divided by m?
6
Let c be (-1)/3 + (-10)/15. Calculate the remainder when 50 is divided by 15 - c/(-2)*4.
11
Suppose 0 = -5*i + 5*u + 55, -3*i = 4*u - 3*u - 25. Calculate the remainder when 26 is divided by i.
8
Suppose 0 = 2*b - 6. Let r = -1 - 0. Let y = b - r. Calculate the remainder when 11 is divided by y.
3
Suppose -3*l + 158 = -7. Calculate the remainder when l is divided by 14.
13
What is the remainder when 46 is divided by 6/(-14) + 6*129/42?
10
Let w = -8 - -2. Let i(h) = -8*h - 8. Calculate the remainder when i(w) is divided by (-4)/((-32)/14 + 2).
12
Let d(b) = 3*b - 5. Let p be d(3). Suppose -p*m + 68 = -48. Calculate the remainder when 114 is divided by m.
27
Suppose 0*d = 3*n + 3*d - 54, 4*n - 79 = 3*d. Calculate the remainder when n is divided by 5.
4
Let h(q) = -q + 2. Let i be h(-4). Let v = i - -9. What is the remainder when v is divided by 6?
3
Let u(t) = -4*t + 11 + 0*t + 5*t. Let f be u(0). Suppose 0 = -w + f + 2. What is the remainder when 24 is divided by w?
11
Suppose -144 = -i - 7*i. Calculate the remainder when 53 is divided by i.
17
Let l = 58 + 6. What is the remainder when l is divided by 11?
9
What is the remainder when 133 is divided by (2 + -4)/((-6)/51*1)?
14
Suppose -14 = 3*i + 3*a - 47, 47 = 5*i + 3*a. What is the remainder when 33 is divided by i?
5
Let g = -12 - -18. Calculate the remainder when 27/12*64/g is divided by 13.
11
What is the remainder when (-5)/(-70)*-2 + (-2649)/(-21) is divided by 64?
62
Suppose 28 = 5*d - 2*i + 4*i, 2*d + 5*i = 28. Suppose -d*c - 5*j = -9*c + 30, -c + 4*j = 6. Calculate the remainder when 18 is divided by c.
8
Let g(k) = -2*k + 4. Let b = 45 + -27. Calculate the remainder when b is divided by g(-3).
8
Let p(i) = -i + 8. Let c be p(-10). Suppose -2*j + c = j. What is the remainder when -1*((2 - 1) + -17) is divided by j?
4
Let d(c) = 4*c**2 - 2*c**2 + 0*c - 4 - 6*c. Suppose -46 = 4*a - 5*a. What is the remainder when a is divided by d(5)?
14
Let f(h) = -16*h - 3. Let y(x) = -88*x - 16. Let i(c) = 28*f(c) - 5*y(c). Let s be ((-2)/(-4))/(5/(-60)). What is the remainder when i(s) is divided by 15?
14
Let u = 26 - 19. Let f(b) = b**2 + 4*b + 11. What is the remainder when f(u) is divided by 18?
16
Let q = 18 - 10. Calculate the remainder when q is divided by 6.
2
Let j = -13 - -51. Suppose -j = -3*v - 2*s - 0*s, -v + 5*s = 10. What is the remainder when 19 is divided by v?
9
Let h = 9 + 0. Suppose -86 - 19 = -21*c. Calculate the remainder when h is divided by c.
4
Let y be (112/(-20))/((-2)/5). Let r = -1 + y. What is the remainder when r is divided by 5?
3
Let x be 2 - -6*(-6)/(-2). Suppose 0*k - k - 2*z + x = 0, 4*z = k - 14. What is the remainder when (-1 + 35 - 2) + 2 is divided by k?
16
Suppose -2 = y + 2, 70 = -3*p - 4*y. Let c = p + 31. What is the remainder when 36 is divided by c?
10
Let w(l) be the first derivative of 5*l**3/3 + 2*l**2 - l - 2. Calculate the remainder when w(-3) is divided by (-3 - -2)/((-1)/11).
10
Let x(g) = 6*g - 2. Let z be x(-2). Let t(v) = v**3 + 13*v**2 - 16*v - 9. Calculate the remainder when 55 is divided by t(z).
17
Suppose 3*q - 6 = 33. Let p = q - 8. What is the remainder when 18 is divided by p?
3
Suppose 5*t - 40 = -m, -m - 5*t = 3*m - 85. Let n = -33 + 65. Suppose n = -z + 5*z. What is the remainder when m is divided by z?
7
Suppose 364 = 3*w + 70. Calculate the remainder when w is divided by 25.
23
Let x(o) = 5*o - 10. Calculate the remainder when x(5) is divided by 9.
6
Suppose -268 = -h - 3*h. Calculate the remainder when h is divided by 17.
16
Suppose y - 2*j = -0 + 20, j = -5. Calculate the remainder when y is divided by 7.
3
Let f(v) = 4*v**3 + 10*v**2 + 5*v - 4. Let c(i) = i**3 + i**2 + i - 1. Let s(t) = -5*c(t) + f(t). What is the remainder when 32 is divided by s(4)?
15
Suppose 0 = -4*l - 23 - 113. Calculate the remainder when (l/8)/(8/(-32)) is divided by 6.
5
Let r(h) = -h**3 - 6*h**2 - 2*h + 6. Let q be r(-6). Let w be (1/(1/10))/(-1). Let f = w + q. What is the remainder when 22 is divided by f?
6
Suppose 0 = 4*j - h - 51, 4*h = -j + 2*h + 15. Suppose 2*o - j - 25 = 0. Let y(n) = -n**3 - 6*n**2 - 6*n + 1. What is the remainder when y(-6) is divided by o?
18
Suppose 4*j = 5*s - 73, s - 3*j + 4*j = 11. Let x(l) = l**3 + 2*l**2 + l - 1. Let f be x(2). Suppose f = 5*d - s. What is the remainder when 17 is divided by d?
5
Let a(v) = -v**3 - v**2 - v + 21. Let g(c) = -c**2 + 5*c - 6. Let k be g(4). Let y = 9 - k. What is the remainder when a(0) is divided by y?
10
Let v(w) = w**2 - 5*w - 3. Let q be v(4). Let p(m) = -m + 9. Calculate the remainder when 47 is divided by p(q).
15
Let q = 8 + -21. Let y = -14 + 9. Let x = y - q. Calculate the remainder when 14 is divided by x.
6
Calculate the remainder when 39 is divided by -4 + (0 - (-24 + -1)).
18
Let x(r) = r**2 + 7*r - 1. Let n be x(-7). Let z = n + 6. Let a(j) = -j**3 + 6*j**2 + 2*j - 3. What is the remainder when a(6) is divided by z?
4
Suppose -f + 19 = 4*z - 0*z, -26 = -5*z + f. Calculate the remainder when 53 is divided by z.
3
Suppose -5*w + 126 = -4. Calculate the remainder when 100 is divided by w.
22
Suppose -3*a + 48 = -93. Let o(y) = y**3 + 5*y**2 - 4. Calculate the remainder when a is divided by o(-4).
11
Let y(t) = 7 + 6*t**2 + 7*t + 3*t - 6*t - 4*t**2. Calculate the remainder when y(-7) is divided by 20.
17
Let l(g) = g**2 + 13*g - 6. Let s(f) = 3*f**2 + 38*f - 17. Let m(o) = -7*l(o) + 2*s(o). Calculate the remainder when m(-11) is divided by 18.
16
Suppose 2*k - 152 = -5*s, 0*k = -4*s + 2*k + 136. Let w = -29 - -21. Calculate the remainder when s is divided by ((-44)/w)/((-2)/(-4)).
10
Let r(p) = 2*p**2 - 2*p + 1. Let t be r(2). Suppose -5*a + 6*v + 40 = v, 41 = 4*a + t*v. What is the remainder when 34 is divided by a?
7
Suppose -t = -2*q - 14, -4*q = -2*t + 4*t - 12. Let f be (3 - 2)*(3 + 0). Calculate the remainder when t is divided by -6*(0 + (-2)/f).
2
Suppose 0 = 3*b + 9, 3*q + b = -q - 11. Let m = 2 - q. Suppose 2*h - 28 = -2*h - 4*s, -m*s - 4 = -4*h. Calculate the remainder when 7 is divided by h.
3
Suppose 3*l = 5*l - 14. Let s(v) = v**3 - v**2 + v - 2. Let q(z) = -z**2 - 3*z + 7. Let b be q(-4). Calculate the remainder when s(b) is divided by l.
5
Suppose -5*b + b = -164. Calculate the remainder when b is divided by 14.
13
What is the remainder when (-2081)/(-7) + 20/(-70) is divided by 50?
47
Suppose -29 - 57 = -2*y. Calculate the remainder when y is divided by ((-44)/(-6))/((-16)/(-24)).
10
Let y = -39 + 50. Calculate the remainder when 40 is divided by y.
7
Let r = 9 + 0. Let s(o) = -6*o. Let t be s(-4). Let p = -8 + t. Calculate the remainder when p is divided by r.
7
Suppose 5*m - 22 - 173 = 0. What is the remainder when m is divided by 15?
9
Let y(v) = v**3 + 6*v**2 - 2*v + 1. Suppose x + 5*l - 9 = -0*x, -5*x + 5*l - 45 = 0. Calculate the remainder when y(x) is divided by 7.
6
Let o(f) = f**2 - 2*f - 3. Let a = -1 + 4. Let v be o(a). Let j(g) = -g**2 + g + 13. Calculate the remainder when j(v) is divided by 5.
3
Suppose 6*w - 44 = 2*w. Calculate the remainder when 2/(-3) + 65/3 is divided by w.
10
Let u(n) = 2*n**3 - 3*n**2 - 3*n + 5. What is the remainder when u(3) is divided by 5?
3
Let h = -1 + 3. Suppose 32 = -h*x - 2*x. What is the remainder wh