. Suppose i*j = 4*j - 4. What is the remainder when 14 is divided by j?
2
Let w(a) = 8*a**2 - 1. Suppose -10*j = -8*j - 8. Calculate the remainder when w(-1) is divided by j.
3
Let f = -2 - -7. Let c = -30 - -47. What is the remainder when c is divided by f?
2
Let x = -15 - -55. Calculate the remainder when x is divided by ((-84)/(-10))/(6/15).
19
Let h(k) = 19*k**3 + k**2 - 2*k + 1. Let s(t) be the first derivative of -t**3/3 + 15*t**2/2 - 1. What is the remainder when s(7) is divided by h(1)?
18
Let a(p) = 9*p - 1. Let z be a(-1). What is the remainder when 15 is divided by 4/z + 32/5?
3
Suppose 0 = 4*i - 2*w + 96, 4*w + 42 = 2*i - 3*i. Calculate the remainder when 46 is divided by 8/(16/(-4)) - i.
22
Suppose -4*y - y = 5*n - 40, n = -4*y + 47. Calculate the remainder when 24 is divided by y.
11
Let v(m) = -m**2 + 6*m + 1. Let n(g) = 1. Let l(b) = -5*n(b) + v(b). Let r = -32 + 36. What is the remainder when l(r) is divided by 2?
0
Let h(k) = k**3 + 8*k**2 + 8*k + 8. Let n be h(-7). Let i be -1 + 0 + 1 + n. What is the remainder when 26 is divided by 1 - -10 - (i - -1)?
8
Let p(c) = c + 28. Calculate the remainder when p(-9) is divided by 4.
3
Let l(c) = c**3 - 11*c**2 - 10*c - 10. Suppose -r - k = -31, -3*r + 12 = 5*k - 79. Suppose -20 = -2*j + r. What is the remainder when j is divided by l(12)?
12
Suppose -q + 0*q = -10. Suppose -5*v - 3*i + 199 = 0, 2*v - 73 = -3*i + 4*i. What is the remainder when v is divided by q?
8
Let s be 0 - (-5 - (1 - 3)). Suppose -2*c = 2*q + 10, -4*c = -q - 3*c + 3. What is the remainder when 11 is divided by -3*(q + (-1)/s)?
3
Suppose -x + 0*x - 2*g = -9, 5*g = 3*x - 38. Calculate the remainder when 20 is divided by x.
9
Let q(j) = -j**3 + 8*j**2 - 2*j - 4. Calculate the remainder when 69 is divided by q(3).
34
Suppose -57 = -r + 5*n - 0*n, -5*n - 20 = 0. What is the remainder when r is divided by 13?
11
Suppose 3*z = 5*r - 87, -4*r = r - 5*z - 85. What is the remainder when r is divided by 11?
7
Let k = -59 + 71. What is the remainder when 106 is divided by k?
10
Suppose 0*b = 2*b, 2*b - 4 = -i. Calculate the remainder when 13 is divided by i.
1
Let r(p) = -p**3 - 2*p**2 - 4*p - 3. Let w be r(-2). Suppose 2*t - w*t + 35 = -a, 5*t + a = 45. Calculate the remainder when 248/14 - (-2)/7 is divided by t.
8
Suppose b - 36 = -3*b. Let y = -13 - -17. Suppose -y*j + 11 = -b. What is the remainder when j is divided by 2?
1
Suppose -5*j - 2*s = -21, -4*j + 5*s - 3 = -0*s. Calculate the remainder when 9 is divided by j.
0
Let o(s) = -2*s + 29. Let a(k) = -k + 15. Let n(z) = 5*a(z) - 2*o(z). What is the remainder when 13 is divided by n(13)?
1
Suppose 85 = 2*w - 5*l, 5*w - 140 = -0*w - 2*l. Calculate the remainder when w is divided by 8.
6
Suppose 4*c - 5*c + 28 = 0. Suppose 4*m = 2*b - c, -3*m = -2*b - 0*b + 27. Calculate the remainder when 35 is divided by b.
11
Let o = 79 + -65. Calculate the remainder when 125 is divided by o.
13
Let y = 10 + -10. Calculate the remainder when (y + 1)/((-1)/(-29)) is divided by 15.
14
Let z(n) = -6*n - 12. Let i be z(-10). Suppose 4*p - i = p. Calculate the remainder when 30 is divided by p.
14
Suppose 2*y - 17 = -d, 5*d - 5*y - 91 - 24 = 0. What is the remainder when (2 + -157)*(-4)/10 is divided by d?
20
Suppose 15 - 145 = -5*i. Suppose 0 = -0*c - 2*c + i. Calculate the remainder when c is divided by 4.
1
Let n(y) = y**2 - y - 17. What is the remainder when 47 is divided by n(7)?
22
Let y = -8 - -10. Suppose 2*l - y*x - 30 = 4, -4*l + 3*x = -63. Calculate the remainder when 21 is divided by l.
9
Let v be 10/2*(-42)/(-15). Suppose 4*h + 0*u - 26 = -u, v = h + 4*u. What is the remainder when h is divided by 4?
2
Let h(v) = 2*v**2 + 7*v + 4. Let y be h(-4). Calculate the remainder when 26 is divided by (-1)/(-4) - (-54)/y.
5
Calculate the remainder when 19 is divided by (4/6)/((-4)/(-30)).
4
Let r(i) = -10*i**2 - 6*i - 5. Let y be r(5). Suppose 3*s = 3*d + 4*s - 164, -3*s = 2*d - 114. Calculate the remainder when d is divided by y/(-20) + 2/(-8).
12
Let d(a) = 2*a**2 + 4*a + 6. Let b(n) = -n**2 - 6*n - 4. Let i be b(-6). Calculate the remainder when d(-4) is divided by 8/(-16) - 34/i.
6
Let s = 11 + 85. Suppose -5*b + 2*g = -2*g + 456, -2*g = -b - s. Let n = b + 128. What is the remainder when n is divided by 14?
12
What is the remainder when (-42)/((-33)/18 - 7/(-21)) is divided by 17?
11
Suppose -5 = -4*t + 7. Suppose t*l - 78 = l. What is the remainder when l is divided by 10?
9
What is the remainder when 63 is divided by (-28 + -3 + -1)*(-1)/2?
15
Suppose -3*x + 42 = -2*t, -x - 4*t + 3 = -t. Calculate the remainder when 57 is divided by x.
9
Let v(k) = -2*k**2 + 3*k + 1. Let y be v(-2). Let o = y - -22. Let c(i) = -i**2 + 9*i + 5. What is the remainder when 13 is divided by c(o)?
3
Let d(k) = 11*k**2 + 5*k. What is the remainder when d(-4) is divided by 32?
28
Let v = 159 - 98. Suppose c = s - 45, -s + 0*c + v = 3*c. What is the remainder when s is divided by 25?
24
Let v(q) = -3*q**2 - 1. Let m(s) = -2 - s - 5*s**2 + s. Let g(f) = 4*m(f) - 7*v(f). What is the remainder when g(-4) is divided by 8?
7
Let t be (-5)/(-20) + (-7)/(-4). Suppose 7 = -t*d + 109. What is the remainder when 49 is divided by d/4 - 2/(-8)?
10
Let q(z) = 2*z**2 - 5*z - 1. Suppose 0 = 9*o - 4*o - 5. Let m be ((-4)/(-5))/(o/5). Calculate the remainder when 21 is divided by q(m).
10
Let h(a) = a**3 + 9*a**2 - 11*a - 14. Let v(d) = -d**2 + 1. Let y(s) = -h(s) + 2*v(s). Calculate the remainder when 83 is divided by y(-12).
27
Suppose -2*d + 40 = 5*i, 3*d - i = -0*i + 77. Calculate the remainder when 74 is divided by d.
24
Let h = 16 - -21. Let k = -11 + 24. Calculate the remainder when h is divided by k.
11
Suppose -37*f = -10*f - 2052. What is the remainder when f is divided by 11?
10
Let o = -8 - -4. Let n = o + 6. Let p = 0 + n. Calculate the remainder when p is divided by 2.
0
Let d(f) = -5*f**2 - 28*f + 1. Let i(m) = m**2 + 7*m. Let l(r) = 2*d(r) + 9*i(r). Calculate the remainder when l(6) is divided by 5.
3
Let x = -37 + 86. Let z(v) = v**3 + v**2 + 2*v + 1. Let f(t) = -t - 3. Let p be f(-5). Calculate the remainder when x is divided by z(p).
15
Let u be 48/27 - (-10)/45. Suppose 113 = u*y + 3*y + 2*s, 0 = y - 3*s - 9. Calculate the remainder when y is divided by 6.
3
Let q(s) = -1 - s**3 + 5*s**2 + 9*s - 7 + 0. Calculate the remainder when 39 is divided by q(6).
9
Let p be 1*3 + (-35)/7. Let v be p/5 - (-12)/5. Suppose 4*k - 46 = v*r, 2*k - 3*r - 21 = -4*r. Calculate the remainder when 41 is divided by k.
8
Let o = 6 - 2. Let l = 15 - o. Calculate the remainder when l is divided by (3*-2)/((-2)/2).
5
Let z(b) = 3*b**3 + b**2 + b + 2. What is the remainder when 127 is divided by z(2)?
31
Let h = 29 - 9. Calculate the remainder when 77 is divided by h.
17
Let o = 332 - 226. Calculate the remainder when o is divided by 27.
25
Let z = -64 + 142. Calculate the remainder when z is divided by 21.
15
Suppose 0 = -3*z - 3*c + 19 + 38, 3*z = 4*c + 64. What is the remainder when 70 is divided by z?
10
Suppose 4*s = 5*r - 220, 4 = 2*r - 2*s - 86. Calculate the remainder when r is divided by 11.
7
Let r be (-5 + -3)/((-1)/8). Suppose -k + 5*k - 64 = -p, -4*k + r = -5*p. What is the remainder when 30 is divided by k?
14
What is the remainder when 31 is divided by ((-6)/4)/(9/(-54))?
4
Let z(d) = d**3 + 7*d**2 + 5*d + 2. What is the remainder when 212 is divided by z(-5)?
23
Let j = -12 - -18. What is the remainder when 17 is divided by j?
5
Let m = 4 + -5. Let r = -1 - m. Suppose -f + 18 + 2 = r. What is the remainder when f is divided by 11?
9
Let u(o) = -3*o + 8. Let l be u(6). Let j be ((-24)/15)/(4/l). Suppose -5*a + 57 = 4*t, 6*t + 60 = j*a + 2*t. Calculate the remainder when 37 is divided by a.
11
Let r be ((1 - 1) + -2)*-2. Suppose -a - 15 = -r*a. Suppose 0 = a*b - 27 + 2. Calculate the remainder when 9 is divided by b.
4
What is the remainder when 151/3 - (-3)/(-9) is divided by 13?
11
Let h = -26 + 42. Calculate the remainder when 61 is divided by h.
13
Suppose 5*p + 0*p = 50. Let j(v) = v. Calculate the remainder when p is divided by j(6).
4
Suppose 0 = -4*a - 4 + 52. What is the remainder when 23 is divided by a?
11
Let w(p) = p**2 - 11*p + 15. Let u(n) = 2*n - 1. Calculate the remainder when u(5) is divide