 7 = 4*k, -4*k = p - 9. What is the remainder when k is divided by 2?
0
Suppose 4*n - 1 = 3*r, 2*n + 0*r - 3 = r. What is the remainder when -2 + -3 + 18 + 0 is divided by n?
1
Let k = 0 + 8. Let w = k - 6. Suppose -86 = -2*l + w*p, 2*l + 4*p - 180 = -2*l. Calculate the remainder when l is divided by 15.
14
Suppose 0 = 5*p - 4*j - 82, -2*j - 3*j = -p + 29. Calculate the remainder when 26 is divided by p.
12
Let h = 53 + 1. What is the remainder when h is divided by 14?
12
Suppose -2*j = -m - 7 - 38, 4*j - 3*m = 95. Suppose -24 = -3*b - 0. Calculate the remainder when j is divided by b.
4
Let d(y) = 22*y**2 + 3*y. Calculate the remainder when d(1) is divided by 14.
11
Let p = 35 + -15. What is the remainder when 97 is divided by p?
17
Let d = 10 + 68. What is the remainder when d is divided by 9?
6
Suppose -1 - 3 = -4*v. Let n be 14 - v*(-2 + 1). Suppose -m = -3*l - 12, l = 5*m - m - n. Calculate the remainder when 8 is divided by m.
2
Let a(d) = -35*d - 8. What is the remainder when a(-3) is divided by 14?
13
Let p(d) be the third derivative of -5*d**4/6 + d**3/3 + 3*d**2. Calculate the remainder when p(-2) is divided by 15.
12
Suppose 36 = -h + 4*h. Let v(k) = k**3 + 2*k**2 - 3*k + 2. Let p be v(-3). Calculate the remainder when (12/(-9))/(p/(-51)) is divided by h.
10
Suppose 0*f - 5*f = -5. Let z = f - -5. Let n(d) = -d**3 - 4*d**2 + 2*d + 2. Calculate the remainder when n(-5) is divided by z.
5
Suppose 3*f = -2*c + 2 + 2, 2*c - 4 = 2*f. Suppose -2*l - 21 = -1. Let t = l - -11. Calculate the remainder when c is divided by t.
0
What is the remainder when 39 is divided by ((-6)/(-15))/(3/75)?
9
Let f(v) = v**3 + v + 2. What is the remainder when (-6)/((-3)/45*2) is divided by f(2)?
9
Let n(m) = -m**3 - 17*m**2 + 17*m + 3. Calculate the remainder when n(-18) is divided by 4.
1
Let u be (3/(-2))/(1/(-8)). Let x = 18 - u. What is the remainder when 16 is divided by x?
4
Let a(b) = 4*b - 63. Calculate the remainder when a(20) is divided by ((-2)/4)/(1/(-18)).
8
Suppose 0*l - 92 = -4*l. What is the remainder when l is divided by (-5)/30 + 147/18?
7
Calculate the remainder when (-54120)/(-280) + 1*(-2)/7 is divided by 39.
37
Suppose -22 = -5*v + z, 3*v - v + 2*z = 4. Suppose 140 = 3*d + 2*s, d - v*s - 40 = 16. Calculate the remainder when (0 + -6)/3 + d is divided by 16.
14
Let k = 27 - 11. Let t = 11 - k. What is the remainder when 40 is divided by 1*-7*(3 + t)?
12
Suppose 2*w = -0*w + 44. Let y = 13 - w. Let u = 15 + y. What is the remainder when 16 is divided by u?
4
Let i(g) = g - 5. Calculate the remainder when 26 is divided by i(9).
2
Calculate the remainder when 78 is divided by 42/(-14) - (-11 - 0).
6
Suppose -4 = -2*r - 2*p - 2, 4 = 3*r + 4*p. Suppose 0 = w + 1, r*j - j + 14 = -4*w. What is the remainder when 29 is divided by j?
9
Suppose -445 - 50 = -5*i. Suppose -11 = -5*y + i. Suppose 0 = -4*j + 33 - 1. What is the remainder when y is divided by j?
6
Let j be 9/6*4/3. Suppose -j*i + 48 = 8*g - 4*g, -72 = -2*i + 4*g. Calculate the remainder when i is divided by 11.
8
Let h(m) = m**2 + 4*m. Let q be h(-5). Suppose -k - k + 25 = -q*w, 0 = -3*k + 2*w + 32. What is the remainder when 17 is divided by k?
7
Let n(p) = p + 7. Let z be n(-5). Suppose -10 = -z*d - 0*d. Suppose 4*m - 4*u = 0, -4*u + 12 = -0*u. Calculate the remainder when d is divided by m.
2
Let d(s) = -s**2 + 2*s**2 + s + 0*s**2 + 95. What is the remainder when d(0) is divided by 32?
31
Suppose 3*o + o = 940. Let n = -2 - -2. Suppose n*i + o = 5*i. Calculate the remainder when i is divided by 16.
15
Suppose 5*j - 27 = 5*k - 67, -5*k - 4*j + 40 = 0. Let u = -27 - -41. Calculate the remainder when u is divided by k.
6
Suppose 0 = 5*l - 43 - 67. What is the remainder when l is divided by 12?
10
Let d = -4 + 9. Suppose t = -2*s - 42, -2*s - s = -d*t + 76. Let j = s - -33. Calculate the remainder when 21 is divided by j.
10
Let g be 4/(1 - (2 - 2)). Suppose g*r = 4*b + 504, 5*r - 630 = -b + 4*b. Calculate the remainder when r is divided by 32.
30
Let c(g) = -g**2 - 8. Let r be c(-4). Calculate the remainder when 47 is divided by -4 + 1 - -4 - r.
22
Suppose -12 = -r - j, -4*j + 12 = 2*r - 16. Let b(y) = y**3 - 9*y**2 - 9*y - 3. Calculate the remainder when 1*(-26)/(-4)*2 is divided by b(r).
6
Let q = -52 - -84. What is the remainder when q is divided by 12?
8
Suppose 0 = 2*d - 6 + 2. Suppose -d*m + 10 - 3 = 3*j, -3*m = 5*j - 13. Let p(a) = a + 3. What is the remainder when 23 is divided by p(j)?
7
Suppose x + 4*v = 6*x - 135, 3*v = 2*x - 54. Calculate the remainder when x is divided by 6.
3
Suppose 3*b = 70 + 104. Calculate the remainder when b is divided by 30.
28
Let d = 27 - 2. Suppose -5*i + 18 = -v, i + 3*i = v + 15. Let b(m) = 4*m - 3. Calculate the remainder when d is divided by b(i).
7
Suppose 24 = 4*w - c - 13, c = -5*w + 35. Suppose 3 - 2 = -a. Let k(d) = -3*d**3 + d**2 - 1. Calculate the remainder when w is divided by k(a).
2
Suppose 2*t - 100 = 2*f, 4*f - 95 + 13 = -2*t. Suppose -4*s = 12, -21 = -5*j + 3*s - 132. Let r = t + j. What is the remainder when r is divided by 12?
11
Suppose -5*w - 5*d + d + 20 = 0, 0 = -4*w - d + 16. Suppose -a - 3*x = -56, 2*x + 0*x - 264 = -w*a. What is the remainder when a is divided by 1/3 + 136/6?
22
Let x(y) = -3*y - 8. Calculate the remainder when x(-11) is divided by (-158)/(-12) + (-4)/24.
12
Let c = -2 - -4. Suppose 30 + c = 4*d. What is the remainder when 23 is divided by d?
7
Let x = 6 + 1. Calculate the remainder when 47 is divided by x.
5
Let b(j) = 13*j - 15. Suppose 0*w - 4*w + 72 = 0. What is the remainder when w is divided by b(2)?
7
Let s = 11 + 70. Calculate the remainder when s is divided by 22.
15
Let l = 6 - -14. Let x(b) = -b**3 + 7*b**2 - 4*b - 5. Calculate the remainder when l is divided by x(6).
6
Suppose 30 = 3*k - 0*k. Suppose -5*h = -x + 118, 4*h = h - 4*x - 80. Calculate the remainder when (-7)/(-2*(-3)/h) is divided by k.
8
Calculate the remainder when 236/10 + 24/60 is divided by 3.
0
Let t = -63 - -107. Suppose -4*s + 0*m + 41 = m, 4*m - t = -4*s. Let f = s + -3. Calculate the remainder when f is divided by 4.
3
Suppose -4*f + 307 = 135. Calculate the remainder when f is divided by 11.
10
Let u(j) = -6*j - 18. What is the remainder when 165 is divided by u(-10)?
39
Suppose -s - 6 = -0*s - 2*b, 9 = s + b. Let c(p) be the third derivative of -p**4/24 + 2*p**3/3 - 2*p**2. What is the remainder when c(-7) is divided by s?
3
Let u = -4 - -15. Suppose 0 = -3*h - 5*p + u, 4*h + 2*p = 14 + 24. What is the remainder when 35 is divided by h?
11
Let s be (3 - (0 - -1)) + 0. Suppose 0*d + 2*d = -m + 73, -158 = -4*d + s*m. What is the remainder when d is divided by (-1)/3 + (-31)/(-3)?
8
Suppose 2*g = 2*b - 12, -4*b + 4*g = -7*b + 39. What is the remainder when 23 is divided by (b/(-2))/((-6)/16)?
11
Let v be (-6)/9*30/(-4). Suppose 0 = -5*c - 4*u + 66, c + v*u - 3 = 6. What is the remainder when c is divided by 5?
4
Suppose 2*x + 8 = 22. What is the remainder when (-2)/x + 44/7 is divided by 2 - -2*1*1?
2
Let i(r) = r**2 - 2*r - 31. Calculate the remainder when 6/(-8)*(-9 - -1) is divided by i(-5).
2
Let r = -5 - -15. Calculate the remainder when 3/(-4) + (-151)/(-4) is divided by r.
7
Suppose 4*h - 36 - 37 = -j, -3*j = 2*h - 49. Suppose -v = -5*t + 70, -2*t - 2 + h = -3*v. Calculate the remainder when 58 is divided by t.
13
Let m(a) = a**3 - 23*a**2 - 23*a - 6. Suppose 0*k + 170 = 5*k. What is the remainder when k is divided by m(24)?
16
Let d be 0 + (-6)/2 - -6. Suppose 2*z = -3*y + 16, d*z - 6*y = -3*y + 9. Calculate the remainder when 12 is divided by z.
2
Let v = 65 + -94. Let a = 40 + v. What is the remainder when 20 is divided by a?
9
Let b(s) = s + 2. Let y be b(6). Let w(v) = 3*v + 4. Let k be w(-8). Let u = y - k. Calculate the remainder when u is divided by 10.
8
Let x = 20 + 1. What is the remainder when x is divided by 6?
3
Suppose -2*j + 0*p + p + 122 = 0, p = 4*j - 240. What is the remainder when j is divided by 122/6 - 5/15?
19
Let k = 56 - 39. Let j = -7 - -10. Let d = j + 6. What is the remainder when k is divided by d?
8
Suppose 0 = 5*o - o - 92. Let x = 2 - 0. Suppose x*p - 108 = 28. Calculate the remainder when p is divided by o.
22
Let y = 23 + -18. Calculate the remainder when 14 is divided by y.
