pose -2*s - f*p = 38 - 132, s - 5*p - 47 = 0. Calculate the remainder when s is divided by m.
15
Let m = -100 - -206. Let b = m + -53. Suppose -4*k = -27 - b. What is the remainder when k is divided by 11?
9
Suppose -52 = -4*s - 1180. Suppose -x + 120 = 4*x. What is the remainder when ((-5)/15)/(2/s) is divided by x?
23
Let i(a) = a**3 + 4*a**2 + 3*a. Calculate the remainder when i(-2) is divided by -2 + (-1)/2*-6.
0
Let x be 1*2/(-2)*9. What is the remainder when 49 is divided by (-7 + 3 + x)*-1?
10
Let x = -34 + 42. What is the remainder when 101 is divided by x?
5
Suppose -5*l - o = -11, -3*l + 3*o + 4 - 1 = 0. Let a = l + 45. What is the remainder when a is divided by 16?
15
Let y(s) be the first derivative of s**4/4 + 2*s**3 + 7*s**2/2 + 5*s + 4. Calculate the remainder when y(-4) is divided by 4.
1
Suppose -5*o - 10 = 0, -3*q + o + 2*o + 81 = 0. Suppose y + 0*y - q = 0. Calculate the remainder when y is divided by (-2 + 0)/(2/(-13)).
12
Let u(i) = -i**3 + i**2 - i + 12. What is the remainder when 21 is divided by u(0)?
9
Suppose -5*h - 22 - 8 = 0. Let q(x) = -x**2 - 5*x + 8. Let b be q(h). Calculate the remainder when (b/(-6))/(5/(-30)) is divided by 1.
0
Suppose 3*f = 3*t - 0*t + 63, 36 = f + 4*t. Suppose 3*l - 4*r - f = 0, -3*l = -0*r + 4*r. Calculate the remainder when ((-2)/(-1) + -3)*-6 is divided by l.
2
Suppose 4*o + 315 = 7*o. Suppose -24 + o = 3*j. What is the remainder when j is divided by 7?
6
What is the remainder when 1/(-2) + (-59)/(-2) is divided by 6?
5
Let k(b) be the first derivative of b**3/3 + 11*b**2/2 + 14*b - 4. Let u be k(-12). Suppose u = 3*x - x. Calculate the remainder when 24 is divided by x.
11
Let s be (-1)/(-4) - (-156)/16. Let d(b) = 2*b - 5. What is the remainder when d(s) is divided by 6?
3
Let z = -1 + 1. Let r = 8 - z. Suppose -h + 17 = -r. Calculate the remainder when h is divided by 9.
7
Let i be 0*(3/6 - 0). Suppose i = 5*o - 13 + 3. What is the remainder when o/(-9) - 735/(-27) is divided by 14?
13
Let p = -107 - -59. Let s = -34 - p. What is the remainder when 27 is divided by s?
13
Let w(u) = -1 - 1 - 2*u + 8*u. Suppose 0 = -f + b + 36 - 9, -163 = -5*f - 2*b. What is the remainder when f is divided by w(3)?
15
Suppose 0 = 7*o - 9*o + 20. What is the remainder when 22 is divided by o?
2
Let a(n) = -n**3 + 7*n**2 + 2*n - 15. Calculate the remainder when a(6) is divided by 7.
5
Suppose 4*o = -2*k - 8, 4 = -3*k - 4*o - 14. What is the remainder when (26/(-4))/(5/k) is divided by 5?
3
Let s(p) = -p**2 + 4*p + 1. Let v be s(2). Suppose -x = v*u + 9, -2*x - u - 3 = -21. What is the remainder when 31 is divided by x?
9
Suppose 19 = -0*w - w - 5*g, 1 = -4*w - 5*g. Calculate the remainder when (-161)/(-4) + w/(-24) is divided by 21.
19
Let q = -22 - -36. What is the remainder when 67 is divided by q?
11
Let f = 2 - 3. Let c(u) = -10*u**3 + u**2 - 1. Calculate the remainder when c(f) is divided by 6.
4
Suppose 4*u = q - 109, -2*u - 3*u + 192 = 2*q. Calculate the remainder when q is divided by 15.
11
Let q be (1 + 1)/(-1 + 2). Suppose 3 = -0*j + j. Suppose q*n - 4*n = -4*a, -8 = -j*n - 2*a. Calculate the remainder when 2 is divided by n.
0
What is the remainder when 35 - (-8 + 3 + 2) is divided by 13?
12
Let m(s) = -s**2 - 8*s - 2. What is the remainder when 63 is divided by m(-3)?
11
Let k be (1 - (-2)/1)*-16. Let l = -15 - k. What is the remainder when l is divided by 9?
6
Let m be (111/6)/(2/28). Let l = -155 + m. Let f = l + -69. Calculate the remainder when f is divided by 9.
8
Suppose -25 - 2 = -3*c. What is the remainder when c is divided by 5?
4
Suppose -4*z = -f, -7 = -5*z - f + 2. Let a = z + 1. Calculate the remainder when 47 is divided by 7*a - (4 - 6).
15
Let r = 33 - 11. Suppose 0*c - r = -c. Calculate the remainder when c is divided by (-33)/(-4) + (-2)/8.
6
Let h(j) = j + 3. Let o be h(9). Let d be -2 - 1/((-2)/o). Suppose -a = d*q - 25, -2*q = -3*a + q + 15. Calculate the remainder when 17 is divided by a.
8
Suppose p = 3 + 17. Suppose 3*s + 19 = 5*c, 0 = -s + 4*c + 2 - 20. Calculate the remainder when 30 is divided by p/(-5)*-1*s.
6
Suppose 4 = -x - 4. Let n(c) = -c**2 - 11*c - 8. What is the remainder when n(x) is divided by 9?
7
Let n(y) = 2 + 2*y - 1 - 2 + 13*y**2. Suppose v = 2*x - 7, -v + 15 = 2*v + 3*x. What is the remainder when n(v) is divided by 8?
6
Suppose 3*w + 28 = 7*w. What is the remainder when (2 + 22/(-8))*-36 is divided by w?
6
Suppose -4*s = -2*s + 6, -3*t = 2*s + 3. Calculate the remainder when 33 is divided by 8/t + (0 - -1).
6
Suppose -3*p + j = -56, -3*p + 3*j + 92 = 2*p. What is the remainder when 35 is divided by p?
16
Let t be 1 + (2 - 0 - 2). Suppose 2*d = 13 - t. Calculate the remainder when 10 is divided by d.
4
Suppose z + 2*j - 3*j = 10, -5*z - 3*j = -58. What is the remainder when z is divided by 4?
3
Let h(a) = a**3 - 5*a**2 - 6*a + 1. Let v be h(6). Suppose 9 = 4*z + v. Suppose -z*o = o - 9. What is the remainder when 7 is divided by o?
1
Let p be (10 + 2)/(2/(-11)). What is the remainder when 32 is divided by ((-2)/(-4))/((-3)/p)?
10
Suppose 343 = 4*o - 3*r, 0 = -o - r + 99 - 22. What is the remainder when o is divided by 28?
26
Suppose g - 276 = -4*g + 3*s, 58 = g - 2*s. What is the remainder when g is divided by 19?
16
Let q = -6 - -89. Calculate the remainder when q is divided by 21.
20
Suppose 0 = 3*h - 9, -h - 4*h + 37 = 2*g. Suppose -2*b + 24 = 6*t - t, 5*b = 4*t - 39. Calculate the remainder when g is divided by t.
5
Suppose 3*m = 8*m - 65. Let v = 21 - m. Calculate the remainder when 30 is divided by v.
6
Suppose -7 = -c - 4*w, 0 = -4*c + 3*w - 14 - 15. What is the remainder when 35 is divided by 58/5 + (-2)/c?
11
Suppose 6*v = 5*o + v - 20, 0 = -5*v. Let d = -50 + 58. Calculate the remainder when (-213)/(-9) + o/(-6) is divided by d.
7
Suppose b = -t + 24, 5*t = t. Let d(g) = g**3 + 9*g**2 + 2*g + 11. Let r(i) = -1. Let w(a) = -d(a) - 6*r(a). What is the remainder when b is divided by w(-9)?
11
Let d be ((-1)/(-2))/(2/(-48)). Let k = -7 - d. Suppose -k = -2*s + 3. What is the remainder when 11 is divided by s?
3
Let u be (-1970)/(-55) + 4/22. Suppose 11 - u = 5*t. Let v = t + 48. What is the remainder when v is divided by 15?
13
Let c = 39 - 33. Calculate the remainder when c is divided by 3.
0
Suppose 205 = -0*k + 5*k. Let n(z) = -z**3 - 3*z**2 + 2*z - 5. Let x be n(-4). Let s = x - -11. Calculate the remainder when k is divided by s.
13
Let b = -17 - -30. Suppose 5*w - 22 = b. Calculate the remainder when w is divided by (-10)/(-6) - (-2)/6.
1
Suppose 5*r - r - 72 = 0. Calculate the remainder when r is divided by 6.
0
Let w(p) = p**3 + 4*p**2 - 2*p + 1. Let o be w(-4). Suppose -5*h + 21 = -49. Let l = h - o. Calculate the remainder when l is divided by 2.
1
Suppose 5*p = -j + 28, -4*p - 4*j + 4 = -12. Let z be (p/4)/(1/2). Suppose -13 = -z*d + 2*d. Calculate the remainder when d is divided by 7.
6
Suppose 2*a + 3*w = a + 18, 5*a - w = 170. What is the remainder when a is divided by 9?
6
Let a(f) = -f**3 - 4*f**2 - 4*f - 1. Let z be a(-4). Suppose 2*t + t = z. Let l(u) = u**3 - 4*u**2 + u - 4. What is the remainder when l(t) is divided by 14?
12
Suppose -4 - 2 = -s. Suppose 0 = s*a - 4*a. Calculate the remainder when 35/((3 + a)/3) is divided by 18.
17
Suppose 0*s + 2*s - 360 = 0. Let w = s - 120. Suppose -f - w = -4*f. What is the remainder when f is divided by 7?
6
Suppose 3 + 0 = d. Calculate the remainder when 9 is divided by d.
0
Let z(h) = -2*h - 5. Let t be z(-5). Suppose 6*d - 3*d - t*n = 150, 5*d - 2*n = 269. Calculate the remainder when d is divided by 14.
13
Suppose -4*f = -7*f + 24. Suppose -5*y = -f + 3. What is the remainder when 2 is divided by y?
0
Suppose t = -3*t. Suppose -2*a + 6*a - 24 = t. What is the remainder when a is divided by 4?
2
Suppose 0 = k - 3*k - 4, -5*l + 5*k = -245. Calculate the remainder when l is divided by 12.
11
Let g = -21 + 69. Calculate the remainder when g is divided by 17.
14
Suppose 0 = -8*w + 7*w + 23. What is the remainder when 45 is divided by w?
22
Let c be (9 - (1 + -1)) + -1. Suppose p - c = -3*p. Suppose r - 62 = -r + p*s, 5*r - 2*s = 170. Calculate the remainder when r is divided by 19.
17
Suppose r - 2*r = -2. Let u(y) = -y**2 - 7*y - 5. Calculate the remainder when u(-4) is divided by r