. Calculate the remainder when z is divided by b.
6
Let a(o) = o**3 + 12*o**2 + 7. Let w be a(-12). Suppose w*t = 2*t + 175. Suppose 2*y = t + 25. What is the remainder when y is divided by 11?
8
Suppose -2*i + 1 = -x + 10, 0 = 4*x + 4*i - 48. Let z(m) = m**2 - 12*m + 15. Let g be z(x). Suppose h + h = g. Calculate the remainder when h is divided by 2.
0
Let i be 3/1 - (-33)/(-1). Let q = 46 + i. Calculate the remainder when 29 is divided by q.
13
Let o(i) = i**2 - 5*i - 2. Let c(n) = -n + 6. Let g be c(0). Calculate the remainder when 6 is divided by o(g).
2
Suppose -5*n = -7*n + 128. What is the remainder when n is divided by 33?
31
Let c = -2 - -4. Suppose 2*p - 192 = -c*p. What is the remainder when p is divided by 25?
23
Let f(q) = 3*q**2 - 4. Let x(z) = z**3 + 8*z**2 + 6*z. Let o be x(-7). Let d = o + -11. What is the remainder when f(d) is divided by 15?
14
Let a = -48 - -50. Let x(i) = -9*i - 2. Let y be x(2). Let n = -14 - y. What is the remainder when n is divided by a?
0
Calculate the remainder when 85 is divided by 3 + ((-4)/16)/(1/(-20)).
5
Let l = -14 - -2. Let k = -11 - l. What is the remainder when 1 is divided by k?
0
Let t(r) = -r**3 - r**2 + r - 2. Let a be t(-2). Let y = 2 - a. What is the remainder when ((-10)/(-8))/(-1)*-4 is divided by y?
1
Let g(t) = -7*t + 32. Calculate the remainder when g(-7) is divided by (-7)/2*-6 + 0.
18
Let v(b) = -b**2 - 6*b + 15. What is the remainder when 37 is divided by v(-7)?
5
Let s(x) = 2*x - 6. Suppose 0*v + 5 = v. Let a(o) = -o**3 + 8*o**2 - 7*o + 10. What is the remainder when a(7) is divided by s(v)?
2
Suppose 2*k - l - 37 = 4*l, -5*k - 4*l = -43. Calculate the remainder when 119 is divided by k.
9
Let d(m) = 4*m**3 - 2*m**2 + 2*m - 1. Let z be d(1). Let c(r) = 1 + 5*r + 4 - 4*r + r**z - 6*r**2. What is the remainder when 32 is divided by c(6)?
10
Let z = -112 - -230. Calculate the remainder when z is divided by 20.
18
Let s(c) be the second derivative of c**4/12 - c**3/6 - 3*c**2/2 - 3*c. Let g(t) = t - 1. Let p be g(6). What is the remainder when s(p) is divided by 6?
5
Calculate the remainder when 1/(2/2) - -8 is divided by 6.
3
Suppose 4*y = -4*j + 188, 119 + 65 = 4*y + 3*j. What is the remainder when y is divided by 15?
13
Suppose -3*n + n + 10 = 0. Suppose 0 = -4*b - k + 4, -4*b - 4 = 4*k + 4. What is the remainder when n is divided by b?
1
Let k = -206 + 305. What is the remainder when k is divided by 20?
19
Let y(z) = 9*z - 16. Calculate the remainder when 40 is divided by y(3).
7
Let x = 21 - -3. What is the remainder when ((-100)/(-15))/(6/63) is divided by x?
22
Let j = -24 - -34. Let y = 13 - -5. What is the remainder when y is divided by j?
8
Suppose -3*a = -3*s + 60, -4*s - 2*a + 60 = -s. Let z = -3 - -6. Let c = 14 - z. Calculate the remainder when s is divided by c.
9
Let f be 3*(3/3 + 9). Suppose 2*o + 10 = f. Calculate the remainder when 19 is divided by o.
9
Suppose -2*j = 4*n - 4, 4 = 2*n - 0. Calculate the remainder when 27 is divided by 48/4 + 4/j.
7
Suppose 2*x - 6 = -3*k, 4*x - k - 16 = -6*k. Suppose -14 = -h + x. What is the remainder when h is divided by 13?
10
Let w(i) = 14*i - 4 + 4. Calculate the remainder when w(1) is divided by ((-8)/3)/(1/(-3)).
6
Let k(t) = t**2 - 3*t - 4. Let w be k(-5). Suppose 3*z - 2*z - w = 0. What is the remainder when z is divided by 19?
17
Suppose 0 = 3*v + m - 37, -2*v - 2*m + 34 = -6*m. What is the remainder when 22 is divided by v?
9
Let a be ((-15)/9)/(3/(-9)). Let j = -4 + a. Calculate the remainder when 1 is divided by j.
0
Let g(c) = -2*c - 4. What is the remainder when 7/2 + (-9)/(-6) is divided by g(-3)?
1
Suppose -5*g - 2*g = -126. Calculate the remainder when 52 is divided by g.
16
Let r(n) = n**3 - 3*n**2 + 2*n. Let h be r(2). Calculate the remainder when 2/(h - 6/(-33)) is divided by 7.
4
Let n(t) = t**3 - 7*t**2 + 3*t - 5. Let h be n(6). Let r = h - -40. What is the remainder when r is divided by 5?
2
Let l = -12 + 20. Suppose z = b + 5*z + l, -7 = -b - z. What is the remainder when 47 is divided by b?
11
Suppose 13*o - 195 = -0*o. What is the remainder when 56 is divided by o?
11
Let x(h) = 6*h + 5. Let g be x(6). Let j be 249/15 + 6/(-10). Suppose 5*v - g = 3*n, n = -v - n + j. What is the remainder when v is divided by 4?
2
Let g be (-2)/(-8) - 105/(-60). Let a be (-33)/(-2) - 2/4. Suppose a = g*d + 2*t, 5*d - t - 52 = -0*d. What is the remainder when 18 is divided by d?
8
Suppose -4*i - 52 = -8*i. Calculate the remainder when i is divided by 7.
6
Let s(p) = -p**2 + 9*p - 15. What is the remainder when 5 is divided by s(6)?
2
Let i = -1 + 9. Suppose 3*g = -3*h + 18, i = -4*g + 7*h - 3*h. What is the remainder when 4 is divided by g?
0
Suppose 4*s + 10 - 50 = 0. What is the remainder when 1488/56 - 6/(-14) is divided by s?
7
Suppose 2*x = -r + 17, -2*x - 3 = 3*r - 22. Calculate the remainder when 23 is divided by x.
7
Suppose 2*x - 7 = 1. Let h = x - 4. Suppose 5*j + 4*s + 65 - 232 = h, -90 = -3*j + s. What is the remainder when j is divided by 16?
15
Let a(h) = -32*h**2. Let i be a(-1). Let j = i - -19. Let l = -1 - j. What is the remainder when 23 is divided by l?
11
Let h(w) = -w**3 - 3*w**2 - w + 3. What is the remainder when 18 is divided by h(-3)?
0
Suppose -5*q + 3 = -22. Suppose 0 = -q*o + 2*n - n + 327, 5*o = 4*n + 333. Calculate the remainder when o is divided by 17.
14
Let k(d) = -d**3 - 11*d**2 - 4*d + 3. Let u(a) = a**3 + 12*a**2 + 3*a - 3. Let w(h) = 5*k(h) + 4*u(h). What is the remainder when 27 is divided by w(-6)?
12
Let z = 11 - 0. Suppose 2*b - 17 = 3*i, -5*i + 4*b = -0*i + 25. Calculate the remainder when z is divided by i/(10/(-4) + 1).
5
Suppose 3*w - 46 = -10. Calculate the remainder when 57 is divided by w.
9
Suppose -2*c + 26 = -3*w - 74, 0 = -5*c - 3*w + 229. Calculate the remainder when c is divided by 16.
15
Suppose 5*b - 15 = 2*r, b + 4*r = 2*b - 3. Let h(a) = 3*a - 1. What is the remainder when h(3) is divided by b?
2
Let a(y) = y**3 - 6*y**2 - 6*y - 7. Let b be a(7). Let i be (-18)/(6/8 + b). Let g = -9 - i. Calculate the remainder when 59 is divided by g.
14
Let x be ((-3)/(-3))/((-2)/10). What is the remainder when 33 is divided by (-1)/(5/9)*x?
6
What is the remainder when 65 is divided by (-44)/(-3*(-10)/(-15))?
21
Let o be -83 + (2 - 0) + -1. Let f = o - -136. Calculate the remainder when f is divided by 19.
16
Let t be (4/(-5))/(1/(-30)). Let n = t - 7. Suppose 0 = -h - 0*h + 9. Calculate the remainder when n is divided by h.
8
Let g = -125 + 256. What is the remainder when g is divided by 19?
17
Let f = -2 + -5. Let k(x) = -x**2 - 9*x + 8. What is the remainder when k(f) is divided by 2 - ((-1 - 9) + 0)?
10
Suppose -2*c + c + 5*r = -47, -2*c + 4*r + 64 = 0. Calculate the remainder when 152 is divided by c.
20
Let z(w) = 3*w - 11. Let i be z(10). Let n = 3 + i. What is the remainder when 65 is divided by n?
21
What is the remainder when 117 is divided by (12/21)/((-2)/(-35))?
7
Let m(p) = p**3 + 5*p**2 - 7*p + 8. Suppose 4*o = 3*b + 28, 5 = -3*o - 5*b - 3. Suppose 14 = o*g - 18. Calculate the remainder when m(-6) is divided by g.
6
Suppose 0 = -o - 2 + 3. Let s(l) = 5*l**3 + l - 1. Suppose 0 = -3*p + k + 39, -2*p = -3*k + 1 - 27. What is the remainder when p is divided by s(o)?
3
Suppose 0*f - 2*f = -6. Suppose -p + 12 = -0*p - h, 4*p = -f*h + 62. What is the remainder when 26 is divided by p?
12
Suppose 0 = 5*v - 71 + 21. Suppose 85 = 4*j + j. Calculate the remainder when j is divided by ((-12)/v)/((-3)/15).
5
Calculate the remainder when 98 is divided by 3*411/63 + (-3)/(-7).
18
Let r(t) = 6*t**2 - t + 1. Let y be r(1). What is the remainder when 39 is divided by 9/(-3)*(-20)/y?
9
Let s(x) = -x**3 + 9*x**2 + 3*x - 10. Let q = 3 + 6. What is the remainder when s(9) is divided by q?
8
Let j = -2 - -4. Let h(r) = 2 + 4*r**2 + 0*r**2 - j*r**2. Calculate the remainder when 58 is divided by h(3).
18
Calculate the remainder when (-10)/((10/(-8))/5) is divided by 11.
7
What is the remainder when 19 is divided by 3 + -4 - 11/(-1)?
9
Calculate the remainder when 342/4 + (-9)/(-6) is divided by 22.
21
Let u be 6/15 - (-96)/10. Suppose 5*d + 0*d - u = 0, 0 = b + 5*d - 47. Calculate the remainder when b is divided by 19.
18
Let b(h) = 2*h**2 - 6*h + 9. What is the remainder when b(