ed by b?
3
Let y = 54 - 38. Suppose i + i = y. Let m(c) = c**3 - 4*c**2 - 5*c + 5. What is the remainder when i is divided by m(5)?
3
Let v(w) = -3*w - 10. Let y be v(-8). Suppose 4*z = m - 20, -2*m + 23 = -5*z - y. What is the remainder when 47 is divided by m?
15
Let a = 1 + 2. Suppose -a*y - 7 = 23. What is the remainder when (-3)/(2 - (-23)/y) is divided by 6?
4
Suppose 7 = -4*h + 15. Let z be (-12 + h)*(-4)/10. Calculate the remainder when (2 - -1) + z*3 is divided by 9.
6
Let k(m) = m**3 - 2*m**2 + m + 2. Let r be 3/(55/(-26) + 2). Let s = 36 + r. Calculate the remainder when s is divided by k(2).
2
Suppose u - 117 = -5*w + 5*u, -3*w - u + 60 = 0. What is the remainder when w is divided by 1/(-2) - (-50)/4?
9
Let r = 38 - 34. Calculate the remainder when 18 is divided by r.
2
Let k be 12/5 - 8/20. What is the remainder when 25 is divided by 0 + k + -3 + 14?
12
Let y be (-12 + 5)/(2/(-4)). Let h = 44 - y. What is the remainder when h is divided by 16?
14
Suppose -2*s = 2*s - 20. Let b(m) be the first derivative of m**3/3 - 5*m**2/2 + 4*m - 1. What is the remainder when 7 is divided by b(s)?
3
Let a = 9 - 6. Suppose 3*o + 2*m = -1 - 1, a*o - 22 = 4*m. What is the remainder when o is divided by 1?
0
Suppose -55 = -s - 13. Suppose -3*d + 6*d - 53 = -2*q, 3*q - s = 3*d. What is the remainder when 74 is divided by q?
17
Let c = 19 + -16. Suppose -2*q + 21 = 2*q + 5*l, 2*q - 4*l = 30. Calculate the remainder when q is divided by c.
0
Suppose 0 + 2 = -a. Let s(w) = -3*w**3 - 2*w**2 - 2*w - 2. Calculate the remainder when s(a) is divided by 10.
8
Suppose 5*z - 7*a + 2*a = 60, 0 = z + 2*a - 21. Calculate the remainder when z is divided by 4.
3
Suppose -15 = -3*q - 60. What is the remainder when 6 is divided by (q/20)/((-2)/8)?
0
Let b(c) = c**3 + 8*c**2 - 7*c + 7. Let o be b(-8). Let m = -41 + o. Calculate the remainder when m is divided by 6.
4
Let z be 27/2 + (-2)/(-4). Suppose g - z = -3. What is the remainder when 19 is divided by g?
8
Let d(q) = -24*q + 1. What is the remainder when d(-2) is divided by 10?
9
Let p(w) = w**3 - w**2 + 2*w - 1. Let m = -4 + 6. Calculate the remainder when 19 is divided by p(m).
5
Suppose -5*s + 16 = -s. Let x = s + 3. Let v(n) = 6*n**2 + 33*n + 2. What is the remainder when v(-6) is divided by x?
6
Suppose -4*s = -3 - 1. Calculate the remainder when 2 is divided by s.
0
Let p(b) = -2*b + 6. Let f be p(4). Let c = 8 + f. Let i = 13 - c. Calculate the remainder when 19 is divided by i.
5
Suppose 0 = -3*i + 4*x + 106, -i + 0*i + 2*x = -38. Suppose 2*c + 4 = 5*d - 6, 5*c + d + 79 = 0. Let k = c + i. Calculate the remainder when 44 is divided by k.
14
Let i = 22 - 14. What is the remainder when 79 is divided by i?
7
Let c(f) = f**2 + 5*f + 13. Calculate the remainder when c(-9) is divided by 25.
24
Suppose 0 = 2*u - 3*y - 23 - 8, -4*y = -4*u + 52. Suppose -2 = -5*c + u. Suppose -c*m + m = -20. What is the remainder when 58 is divided by m?
18
Let v(g) = -9*g - 137. Let n(w) = 6*w**2 + 5*w + 4. Calculate the remainder when n(-3) is divided by v(-17).
11
What is the remainder when ((-12)/2)/(2/(-12)) is divided by 19?
17
Suppose 4*o = o. Suppose p + 0*p = o. Suppose -3*l + 33 = -p*l. Calculate the remainder when l is divided by 6.
5
Suppose -5*d + 10 + 45 = 0. Let s = d + -3. Let h = -16 + 31. Calculate the remainder when h is divided by s.
7
Suppose 23*y = 21*y + 6. Calculate the remainder when 4 is divided by y.
1
Suppose 18 + 18 = 2*r + 4*j, -2*j = 3*r - 42. Suppose -n + 25 = -3*c, -5*n + 164 = -0*c - 2*c. Calculate the remainder when n is divided by r.
10
Let i = -25 + 46. Calculate the remainder when i is divided by 11.
10
Let m = 15 - -36. Calculate the remainder when m is divided by 13.
12
Let f be 1*3/6*10. Suppose 0 = -f*i + 2*i + 42. Suppose 2*j = 5*d - 4, -5*d + i = 5*j - 11. What is the remainder when d is divided by 1?
0
Suppose 0 = c - 2*c + 5. Let g = c - -6. Let q = 22 - -10. Calculate the remainder when q is divided by g.
10
Suppose -3*o - 5 = -4*q, -o - 6*q - 8 = -q. Suppose -2*v = 5*t - 9, t = -4*v - 3*t + 12. What is the remainder when 8 is divided by o/v*10/(-3)?
3
Let s(b) = -b**3 - 27*b**2 - 26*b + 24. What is the remainder when s(-26) is divided by 5?
4
Suppose -3*s + 3*d = -9, -s = -0*s - 5*d + 13. What is the remainder when 25 is divided by s?
4
Suppose 2*j + 112 = -14. Calculate the remainder when 1*j/(-3) + -3 is divided by 10.
8
Let z(t) = t**3 - 7*t**2 - 5*t + 17. Calculate the remainder when 79 is divided by z(8).
38
Let n = 15 - -8. What is the remainder when n is divided by 6?
5
Suppose 4*c + i = 19, -2*c + 11 = -0*c - i. Suppose c*s - 174 = 3*q - 43, q = -s + 23. Calculate the remainder when s is divided by 13.
12
Let r(c) = c**3 + 7*c**2 + 4*c + 3. What is the remainder when 267/6 - (-2)/(-4) is divided by r(-6)?
14
Let s = 5 - 0. Suppose s*t - 5 = -3*p, 2*t + 2 = 4*t - p. What is the remainder when 2 is divided by t?
0
Let o(t) = -3*t - 33. Calculate the remainder when 43 is divided by o(-15).
7
Let k = -15 + 30. Calculate the remainder when k is divided by 8.
7
Let n(w) = 5*w**2 - 2*w - 2. Let o = 99 - 46. What is the remainder when o is divided by n(2)?
11
Let i = -59 - -74. What is the remainder when 28 is divided by i?
13
Suppose -2*j + 21 = -59. Suppose 2*k - 8 = 4. Suppose 0 = 8*a - k*a - j. Calculate the remainder when a is divided by 11.
9
Let r(k) = 19*k - 9. What is the remainder when r(4) is divided by 34?
33
Suppose -2*r - 7 = -1, z + r + 1 = 0. Suppose 12 = 5*b - b. Calculate the remainder when -1 - b*(-2 + 0) is divided by z.
1
Suppose 5*v - 4*m - 54 = 0, 4*v = -0*v - m + 39. Calculate the remainder when 17 is divided by v.
7
Suppose 9 = 4*q - 3. Let v = q - 3. Suppose -3*u + 10 + 17 = v. What is the remainder when 35 is divided by u?
8
Let p(i) = -5*i**3 + 2*i**2 + 2*i + 1. Suppose -2*w = w - 45. Let b = w - 4. What is the remainder when b is divided by p(-1)?
5
Calculate the remainder when 32 is divided by 108/10 + (-5)/(-25).
10
Let y(x) be the second derivative of -x**5/20 + 7*x**4/12 + x**3/3 - 2*x**2 + 4*x. What is the remainder when 18 is divided by y(7)?
8
Suppose -114 = l - 126. Suppose 3*i - 4 = -i. What is the remainder when (-141)/(-3) - (1 - i) is divided by l?
11
Let t(k) = 4*k**2 - k + 1. Suppose 0 + 3 = 3*d. What is the remainder when 9 is divided by t(d)?
1
Suppose k = -3*k + 4*y, -4*y + 6 = -k. Let n(o) = -2*o**k + o**2 + 2*o**2 + 2 - o. What is the remainder when 6 is divided by n(2)?
2
Let j = 52 - 14. What is the remainder when j is divided by 20?
18
What is the remainder when 22 is divided by (-1 + 10)*(-4 + 15/3)?
4
Let n(u) = -7*u. Let b be 4/(-10) + (-17)/(-5). Suppose -b*l - l + 2*y = -60, -4*l + y = -60. What is the remainder when n(-4) is divided by l?
13
Suppose 0 = a - 1 - 4, 2*c - 11 = 3*a. What is the remainder when 63 is divided by c?
11
Let p(q) = -q**2 + 3*q + 1. Let o be p(4). Let v = o - -5. Suppose v*k = -g - 2*g + 8, -2*k - 10 = 0. What is the remainder when g is divided by 4?
2
Suppose 41 = 7*o - 2*o - a, 0 = -2*o - 4*a + 34. What is the remainder when o is divided by 5?
4
Calculate the remainder when (-147)/(-2)*(1 - -1) is divided by 30.
27
Let d be -4*1/(-4)*3. Suppose 0 = d*j - 0*j - 6. What is the remainder when 3 is divided by j?
1
Let y(j) = 4*j - 16. What is the remainder when y(9) is divided by 8?
4
Calculate the remainder when 87 is divided by 1/(-4) + (-3 - (-315)/28).
7
Suppose -5*z + 45 = -0*z. Let g be 29/z + 2/(-9). Suppose -3*f = -3*d - d - 109, 5*f - 178 = g*d. Calculate the remainder when f is divided by 12.
11
Suppose -2 = -2*h - 10, 2*h + 303 = 5*f. Let i = 10 + 5. What is the remainder when f is divided by i?
14
Suppose -5*a + 134 = 5*o - 66, -2*a + 78 = 3*o. Let n = 101 - a. What is the remainder when n is divided by 15?
14
Let n = 2 - 5. What is the remainder when (2/n)/((-6)/171) is divided by 5?
4
Suppose 0 = -2*k + 1 + 27. Suppose 15 = s - 16. Let m = s - k. Calculate the remainder when 32 is divided by m.
15
Suppose z - 3*z + 50 = 0. Suppose 0*t + z = 5*t. Calculate the remainder when 13 is divided by t.
3
Suppose 2*b - 62 = 6. Suppose 2*d - 1 = 17. Calculate the remainder when b is divided by d.
7
Suppose 2*p = -5*n - 12 + 48, -9 = -4*n + 5*p. Suppose b + 50 = n*b. Calculate the remainder when 2076