ivided by 9.
7
Let j = 2 - 1. Let p(g) = g**3 + g**2 - 1. Suppose 0*a = -a + 2. Calculate the remainder when a is divided by p(j).
0
Let n(c) = 2*c**3 + 2*c**2 - c. Let v be n(1). Suppose -t = v*t - 4. Calculate the remainder when (3 + t + 1)*4 is divided by 11.
9
Let a(y) = y**3 + 4*y**2 - y + 1. Let j be a(-3). Suppose 2*o - j = 7. What is the remainder when o is divided by 6?
4
Let z be (5/(-4))/((-2)/(-8)). Let d = 8 + z. Suppose -3*m - 2*m + 17 = -d*s, -9 = -m - 5*s. Calculate the remainder when 11 is divided by m.
3
Suppose -2*r - 3*v + 63 = 0, -3*v - 18 = -0*r - r. Calculate the remainder when 106 is divided by r.
25
Suppose 6 = 5*a - 19. Suppose 71 = -4*m + a*m. Calculate the remainder when m is divided by 18.
17
Let b(k) = -k + 12. Suppose -6*q = -11*q - 25. What is the remainder when b(q) is divided by 10?
7
Let m = -8 + 1. Let t be 1/((7/6)/m). Calculate the remainder when 3/t - (-9)/2 is divided by 3.
1
Suppose 5*p - 4*d - 347 = 0, 2*d - 189 = -3*p - 2*d. Calculate the remainder when p is divided by 14.
11
Suppose -3*p + 57 = -84. Calculate the remainder when p is divided by 25.
22
Suppose -4*m = 16, 5*g + 4*m = 5*m + 224. Let f be ((-6)/(-9))/(2/9). Suppose -f*y + 0*y + 45 = 0. What is the remainder when g is divided by y?
14
Let t(p) = -p**3 + 8*p**2 - 6*p - 6. Suppose -1 - 1 = -2*j. What is the remainder when j is divided by t(7)?
0
Let g(n) = n**3 + n**2 - 2. Let h be g(0). Let b(q) = q**3 + 5*q**2 + 2*q - 1. What is the remainder when 25 is divided by b(h)?
4
Calculate the remainder when (16/20)/(2/95) is divided by 13.
12
Let c = -6 + 18. Suppose -2*t + 22 = -4*a, -2*t + c = t + a. What is the remainder when 6 is divided by t?
1
Let f(o) = o**2 + 3*o. Suppose -20 = 5*y - 5*p, 3*y + 12 = -0*y + p. Let z(d) = -d + 12. Calculate the remainder when z(5) is divided by f(y).
3
Suppose -5*w + 189 = -2*m, 0 = 2*w - m - 32 - 44. What is the remainder when w is divided by 4?
1
Suppose 5*x = 3*x + 3*c + 34, -3*x = -4*c - 49. Calculate the remainder when x is divided by 2/6*(20 + -2).
5
Suppose 6*x - 15 - 21 = 0. What is the remainder when x is divided by 4?
2
Let l be (-1)/(-4) - 237/(-12). Let r = l - 14. Suppose 3*m = 8 + 22. Calculate the remainder when m is divided by r.
4
Let m be 1044/(-15) - (-6)/10. Let f = 98 + m. What is the remainder when f is divided by (-117)/(-12) - 1/(-4)?
9
What is the remainder when 273/35*(-15)/3*-1 is divided by 10?
9
Let h(t) = t**2 + 3*t + 1. Let f be h(-3). Calculate the remainder when f + 27*(0 - -1) is divided by (-30)/(-4)*(-2 - -4).
13
Let f = 93 - 51. Let y(u) = -2*u**2 - 3 - 6*u + u**2 + 5. What is the remainder when f is divided by y(-3)?
9
Let f(o) = -o**3 - 12*o**2 - 12*o + 8. Suppose -6*k = -k - 50. What is the remainder when f(-11) is divided by k?
9
Let w = 72 + -35. What is the remainder when w is divided by (8/(-6))/((-2)/15)?
7
What is the remainder when 1/(-1)*((6 - 35) + 3) is divided by 7?
5
Suppose 0 = -5*h + h + 24. Let g(f) = -f**2 + 9*f + 4. Let l be g(7). Suppose 3*p - l = 2*w, 3*w = 5*p + w - 26. Calculate the remainder when h is divided by p.
2
Suppose -2*o + 5*o + 69 = 0. Let n = -13 - o. Suppose 5*k + 3*d - 21 = 0, 0*k - 2*d = k. Calculate the remainder when n is divided by k.
4
Let i(c) = -c + 6. Let z be i(4). Let r(k) = k**2 - z*k - 2*k + 2*k. Calculate the remainder when 15 is divided by r(-2).
7
Let y(f) = 14*f - 1. Let s be y(2). Let v = s - 12. What is the remainder when -1 + -1 + 2 + 29 is divided by v?
14
Suppose 16 = 4*c - 20. Calculate the remainder when 34 is divided by c.
7
Let x = -8 + -3. Let w = x - -11. Suppose 2*f + f - 39 = w. Calculate the remainder when 51 is divided by f.
12
Let d = -62 - -94. Suppose 2*i - 112 = -5*c, 3*c + 48 + d = 2*i. Calculate the remainder when i is divided by 16.
14
Let r(k) = k**3 - 13*k**2 + 3*k - 1. Calculate the remainder when r(13) is divided by 10.
8
Suppose -3*s + 4*u = 1, 2 = -5*s - 2*u + 9. Let o(p) = -4 - 1 + s - 4*p. What is the remainder when o(-4) is divided by 5?
2
Suppose -3*u + 2 = -r, 5 = -4*r - 5*u - 3. What is the remainder when (60/8)/(r/(-8)) is divided by 16?
14
Let l be 12/(-4) - (2 - 3). Calculate the remainder when -1 - l - (-14 + 11) is divided by 4.
0
Let b(r) = r**2 - 4*r - 3. Let p = -8 - -14. Calculate the remainder when 25 is divided by b(p).
7
What is the remainder when 2/3*600/16 is divided by 10?
5
Let r be (-11)/(-2) + 2/(-4). Suppose -15 = -r*v + 10. Let p(w) = w**3 + 2*w**2 - 5*w - 3. Calculate the remainder when v is divided by p(-3).
2
Let j(o) = o**3 + o**2 + 6. Let t = -2 + 2. Let n be j(t). Let g = 20 - n. Calculate the remainder when g is divided by 8.
6
What is the remainder when 3 is divided by -1 + -2 + 2 + 2?
0
Suppose -7*g = -2*g - 25, 3*g + 35 = 5*h. Let d(n) = n + 29. What is the remainder when d(0) is divided by h?
9
Let h(n) = 7*n**2 + 6*n - 4. Calculate the remainder when 14 is divided by h(1).
5
Let c(q) = -4*q - 1. Let i be c(-1). Suppose 0*t - i*t = -54. Suppose 4*u = -16, 0*s + 3*u - t = -3*s. Calculate the remainder when 29 is divided by s.
9
Let d = 36 - 25. Let a = -6 - -12. Calculate the remainder when d is divided by a.
5
Let r(b) = b - 1. Let n be r(3). Suppose -4*u - 35 = -n*o - 89, -u = 5*o + 3. Suppose 42 = 2*q - u. Calculate the remainder when q is divided by 14.
13
Let i(o) be the first derivative of o**3/3 + 2*o**2 - 3*o - 3. What is the remainder when 4 is divided by i(-5)?
0
Let m(l) = 40*l**2 - l + 2. Let y(x) = -x**2 - 3*x + 3. Let v be y(2). Let z(s) = s**3 + 6*s**2 - 9*s. Calculate the remainder when m(1) is divided by z(v).
13
Let g(l) = l**3 + 5*l**2 + 2*l - 3. Let r be g(-4). Suppose 5 = r*h - 15. Suppose -20 = -0*b - h*b. What is the remainder when 14 is divided by b?
4
Suppose 0*f = v + f + 2, -3*v + 4*f = -29. Suppose -n = v*n - 132. Suppose 0 = -4*x + 46 + 22. Calculate the remainder when n is divided by x.
16
Let j(c) = -c**2 - 14*c - 10. Calculate the remainder when 88 is divided by j(-11).
19
What is the remainder when (-1)/((-12)/57)*8 is divided by 13?
12
Suppose -3*l - 2*l - 5*g = -155, 2*g = -5*l + 146. Let s = 13 - 8. Suppose v = s*v - 40. What is the remainder when l is divided by v?
8
Suppose 0*z + 4 = 2*z. Suppose -z*d = 2*d + p - 238, d = -5*p + 69. What is the remainder when d is divided by 2/8 + 118/8?
14
Let y = -1 - -1. Let n = 178 - 114. Suppose y*l - d - 22 = -l, 5*d = 3*l - n. What is the remainder when l is divided by 12?
11
Let d = 17 + -11. Suppose -5*a + 105 = 3*s, 0 = a + 2*a - s - 63. Calculate the remainder when a is divided by d.
3
Let y(r) = -r - 4. Let l be y(-7). Suppose 0 = 4*j - l*j - 17. Let p = -117 + 167. What is the remainder when p is divided by j?
16
Suppose 3*u + v = 22 + 108, 5*u + 4*v = 205. What is the remainder when 132 is divided by u?
42
Suppose -4*a + 3*k = -57, a + 4*k = -3*a + 36. Suppose f - 3 = 4*n - 0*n, 4*n = 4*f - a. What is the remainder when 5 is divided by f?
2
Suppose -9*r + 590 = -418. Calculate the remainder when r is divided by 23.
20
Let t be (-1)/(2/(-8)) - 0. Let m = 6 + t. Calculate the remainder when 19 is divided by m.
9
Suppose -o = -3*c + 1, c = 4*o + 4*c - 56. What is the remainder when (7 - 0)/((-3)/(-9)) is divided by o?
10
Suppose 5*d = f - 20, -5*f + 18 = -4*f - 3*d. Let b(t) = 3*t + 7. What is the remainder when b(7) is divided by f?
13
Let z(p) = 2*p**2 - 3*p + 15. Calculate the remainder when 66 is divided by z(0).
6
What is the remainder when 42 is divided by 204/14 - (-24)/56?
12
Suppose 3*x - 21 = 9. What is the remainder when 38 is divided by x?
8
Calculate the remainder when -1 + 1 - (1 + -76*2) is divided by 38.
37
Let k = -15 + 20. Calculate the remainder when k is divided by 3.
2
Let s = -3 + -3. Calculate the remainder when 3/(-2) + (-44)/(-8) is divided by (-7)/(-3) + s/(-9).
1
Suppose -m + 81 = 2*u - 0*m, 5*u = -4*m + 201. Calculate the remainder when 79 is divided by u.
38
Let s(l) = -3*l + 3. Let x be s(-3). Suppose h - x = 2. What is the remainder when ((-41)/2)/((-3)/6) is divided by h?
13
Let z = 39 - 19. Suppose 0 = 9*h - 25 - 74. Calculate the remainder when z is divided by h.
9
Let x(n) be the third derivative of -n**4/4 - 2*n**3/3 - n**2. Suppose -94 = -3*b + 29. What is the remainder when b is divided by x(-3)?
13
What is the remainder when -2*(3