ate the remainder when j(12) is divided by 2.
0
Suppose -4*f + 75 = -77. Suppose 0 = -j + 287 - 277. Calculate the remainder when f is divided by j.
8
Let k(f) = -8*f - 24. Calculate the remainder when 38 is divided by k(-4).
6
Let b(r) = 8*r**2 + r - 1. Let c be (-70)/(-6) + (-10)/15. Let j = c - 6. What is the remainder when b(1) is divided by j?
3
Let h(t) = 0*t - t - 3 + 1 + 1. Let c be h(1). What is the remainder when 15 is divided by (-8)/(2/(4/c))?
7
Suppose 0*d + 23 = d. Let s be 2/(-4) - (-1)/2. Suppose -3*r + 36 = -s*r. Calculate the remainder when d is divided by r.
11
What is the remainder when 34 is divided by 22 + -1 + 3 + -8?
2
Suppose -2*g + 3 = 43. Let q be 1/2 + g/8. Let f = q + 16. What is the remainder when 26 is divided by f?
12
Let c(t) = -2*t. Let r(w) be the first derivative of -4*w**2 - 3*w - 2. What is the remainder when r(-3) is divided by c(-3)?
3
Let u(o) = -7*o - 1. What is the remainder when 162 is divided by u(-8)?
52
Let j = 20 - 18. Suppose j*q + 3*q = 95. Calculate the remainder when 36 is divided by q.
17
Let p(x) = -x + 2. Let a be p(0). Suppose 2*n - a*z - z = 26, 2*n - 4*z = 22. Suppose -5*j = -2*j - 165. Calculate the remainder when j is divided by n.
17
Let t = -16 - -35. What is the remainder when t is divided by 4?
3
Suppose -2*y - h = 1, 3 = 3*y - h - 3. Suppose 3*a = 2*a. Suppose a = -5*m + m + 4. What is the remainder when y is divided by m?
0
Let c = -5 + 8. Let n(x) = -x**3 + 14 + 6 + 2*x**c. What is the remainder when 39 is divided by n(0)?
19
Suppose 5*h - 172 = h. Let u = -10 + 25. Calculate the remainder when h is divided by u.
13
Let x(m) be the second derivative of m**4/12 + m**3/6 - m**2/2 - m. Calculate the remainder when 13 is divided by x(-3).
3
Suppose 0 = -6*g + 2*g + 48. Calculate the remainder when 35 is divided by g.
11
Suppose 6*r = 9*r - 93. Calculate the remainder when 59 is divided by r.
28
Suppose -21*u = -16*u - 30. What is the remainder when u is divided by 4?
2
Let a(j) = 3*j - 2. What is the remainder when 49 is divided by a(5)?
10
Let k(w) = -w**3 + 9*w**2 - 8*w + 1. Let r(y) = -y**2 + 7*y - 4. What is the remainder when r(6) is divided by k(8)?
0
Suppose 0 = -2*h - 2*h + 60. Suppose -4*y - 2*j + 26 = -4, -3 = -3*j. Suppose y*k = 2*k + 40. Calculate the remainder when h is divided by k.
7
Let z = -65 - -78. What is the remainder when 36 is divided by z?
10
Suppose 103 = 5*k - 652. Suppose -4*x = -20, -k = -4*t + 2*x - 13. Suppose o = -14 + t. What is the remainder when o is divided by 8?
7
Let s be ((-6)/12)/(2/60). What is the remainder when 15 is divided by (-4)/(-10) + (-84)/s?
3
Let t = 8 - 6. Let x be 9 - (6/1)/3. Suppose 0 = t*w - 21 - x. Calculate the remainder when 27 is divided by w.
13
Suppose 4*f + 2*m = 54, 2*f = 3*f + 2*m - 15. Let p(c) = 39*c - 1. What is the remainder when p(1) is divided by f?
12
Let d = 18 + -25. Let n = 11 + d. Let j = 2 - 0. Calculate the remainder when n is divided by j.
0
Let u(j) = 2*j**2 + 3*j + 3. Suppose -100 = -2478*y + 2473*y. What is the remainder when u(-5) is divided by y?
18
Let j(t) = 2*t**2 + t - 30. What is the remainder when 148 is divided by j(5)?
23
Suppose -l + 0*l = -16. Let i = -164 + 70. What is the remainder when (-2 + 0)*i/4 is divided by l?
15
Suppose -2*b = -b + 2*w - 1, 2*w = -10. Suppose 60 = 8*x - 5*x. What is the remainder when x is divided by b?
9
Suppose 2*b - 7*b + 40 = 0. Suppose g + 0 = b. Calculate the remainder when 20 is divided by g.
4
What is the remainder when 12 is divided by (12/(3 - (-18)/(-4)))/(-1)?
4
Suppose 2*d - 44 - 28 = 0. Let p = -25 + d. What is the remainder when 43 is divided by p?
10
Suppose -4*f - z + 138 = 4*z, 2*f + 3*z = 68. Let g(x) = 12*x**3 + x**2 - x + 1. Calculate the remainder when f is divided by g(1).
11
Let y(d) = 1 + d**2 + d + 4*d**2 - 2*d**2. Let h be y(-1). Suppose 20 = 3*b - s, 18 = h*b + 2*s + 4. Calculate the remainder when 11 is divided by b.
5
Let o(h) = -3*h + 5. Let y(x) = -x - 1. Let j(i) = o(i) + 4*y(i). Let s be j(4). Let d = -5 - s. Calculate the remainder when 65 is divided by d.
21
Suppose 0 = -3*u - 3*w + 69, 2*u + 0*w + 5*w = 46. Suppose u = -m + 61. Let t = m - 23. What is the remainder when 44 is divided by t?
14
Suppose -5*k = -4*s + 259, 0 = 3*k - 8*k + 5. Calculate the remainder when s is divided by 34.
32
Suppose 0*p + p - 24 = -2*c, 46 = 3*c + 4*p. What is the remainder when 28 is divided by c?
8
Let z be ((-6)/(-5))/(4/10). Suppose z*p + 300 = 8*p. Calculate the remainder when 23 is divided by p/6 + 2/(-1).
7
Suppose -2*v = d - 12, -64 = -4*d + 3*v - 7*v. What is the remainder when 77 is divided by d?
17
Suppose 147 = k + 2*k. Let p = 105 - k. Let y = 26 - 7. Calculate the remainder when p is divided by y.
18
Let v be 0*(-1)/2*1. Suppose -37 = -5*p + 4*s - 2*s, 0 = 2*p - 2*s - 16. What is the remainder when -1 + (v - -2) + 11 is divided by p?
5
Suppose -3*f + 550 = -8*f. Let v = f - -71. Calculate the remainder when v/2*(-3 - -1) is divided by 10.
9
Let f(l) be the second derivative of -4*l**3/3 - 3*l**2 - l. Let j(x) = x**3 + x**2 + 12. What is the remainder when f(-5) is divided by j(0)?
10
Let d = 98 - 91. Let f = 37 - 12. What is the remainder when f is divided by d?
4
Suppose -5*g - 819 - 1471 = 5*j, 0 = g - 2. Let i be j/(-16) + (-1)/(-4). Suppose -2*q - 7 = -i. Calculate the remainder when q is divided by 6.
5
Suppose i = 2*o - 3*o + 1, -3*o + 6 = 4*i. Suppose i*l - 13 = 2*l. What is the remainder when 37 is divided by l?
11
Suppose 5*i = 4*i + 26. Calculate the remainder when i is divided by 9.
8
Suppose -4*j = 2*n - 50, n - 3*n + 2*j + 68 = 0. Calculate the remainder when n is divided by 16.
15
Let i(n) = n**3 + 5*n**2 + 2*n + 4. Suppose -o = -v - 0*o - 2, 0 = 5*v + 2*o + 24. Calculate the remainder when i(v) is divided by 7.
5
Let s(u) = -u + 13 + 4 - 1 + 1. Calculate the remainder when 63 is divided by s(4).
11
Suppose 0 = -2*x - 2*k + 9 + 27, k + 72 = 5*x. Suppose -4 + 19 = 5*w. Let y(n) = 4*n**2 + 3*n - 1. Calculate the remainder when y(w) is divided by x.
14
Let y(k) = 4*k - 10. Calculate the remainder when y(24) is divided by 13.
8
Let t be (-29)/(-9) - 10/45. Suppose 0*a - t*a = -18. Calculate the remainder when 23 is divided by a.
5
Let m = -1 - -23. Suppose -2*q - q = 0. Suppose -2*p - 4*k = -9*k - 49, -5*p - 5*k + 35 = q. What is the remainder when m is divided by p?
10
Suppose -a + 0*k = -k - 3, -3*k = 4*a - 12. Suppose -a*j + 4 = 2*g - 34, 0 = 2*j + g - 25. What is the remainder when 22 is divided by j?
10
Suppose 4 = 3*y - 5. Suppose 4*v + f = 20, 0 = 3*v + y*f - 2*f - 16. Calculate the remainder when 5 is divided by v.
1
Let w(p) = 2*p**2 + 12*p. Let k be (3/2)/((-2)/12). Let u be w(k). Suppose -h = 2*h - u. What is the remainder when 52 is divided by h?
16
Calculate the remainder when 4/14 + 243/7 is divided by (-8)/20 - 276/(-15).
17
Suppose u - 2*u + 6 = 0. Suppose 0 = 5*z - 25 - 55. Calculate the remainder when z is divided by u.
4
Suppose -2*c - 208 = -4*w - 0*c, -2*w + 88 = 3*c. Calculate the remainder when w is divided by 17.
16
Let c = -9 + 4. Calculate the remainder when (-37)/(-5) - (-2)/c is divided by 2*(0 + 12/8).
1
Calculate the remainder when 154 is divided by ((-3)/(-2))/((-1470)/372 + 4).
30
Suppose -5*z - 45 + 135 = 5*n, 5*z = 4*n + 117. Let u = z + -9. Calculate the remainder when 47 is divided by u.
11
Suppose 3*p - 80 = -17*p. Suppose 0 = -2*b - 5*t + 10, 0*t = t + 4. Calculate the remainder when b is divided by p.
3
Let o(h) = -2*h - 7. Let s be o(-6). Suppose s*r = c + 3*r - 18, 5*r = -5*c + 105. What is the remainder when 98 is divided by c?
18
Suppose t - 5 + 1 = 0. Suppose 2*z = z + 6. What is the remainder when z is divided by t?
2
Let q(h) = 9*h + 7. Suppose -50 = -4*t - s + 29, 0 = t - 5*s - 46. Calculate the remainder when q(6) is divided by t.
19
Suppose -4*u = -3*d + 25, -4*d - 4*u = -d + 7. What is the remainder when d is divided by 1?
0
Calculate the remainder when 43 is divided by 1*(0 + -3 + 14).
10
Suppose h - 41 = -5*k, -4*k + 13 + 27 = h. What is the remainder when -4*(321/12)/(-1) is divided by h?
35
Suppose 3*j - 20 = -j. Let w(x) = x**3 - 6*x**2 + 7*x + 1. Calculate the remainder when 32 is divided by w(j).
10
Let p = 13 - 9. Suppose -36 = -5*l + 29. What is the remainder w