pose 4*u - 56 = -4*c, 0*c - u + 34 = w*c. Suppose 0*o + c = 2*o. Calculate the remainder when 13 is divided by o.
3
Suppose -3*f = m - 6*m, f + 4*m = 17. Suppose -j = t - 3, -f*t + 13 = 4*j - 4. Let r = 22 - 8. Calculate the remainder when r is divided by t.
4
Suppose 2*y - 4*j + 3 = 1, 0 = 3*y + 4*j - 27. Suppose 5*p = 4*p + 9. Calculate the remainder when p is divided by y.
4
Let b = -36 - -50. What is the remainder when 39 is divided by b?
11
Let j = -98 - -165. Suppose 2*b = 5*x - j, -3*b - 11 - 7 = -2*x. What is the remainder when 44 is divided by x?
14
Let v = 22 + -12. Suppose 3*k - 5*p + 20 = 0, -2 = k + p - 6. Suppose -y + k*y = -v. What is the remainder when y is divided by 4?
2
Suppose -4*y = b - 31 - 16, -3 = 3*b. Calculate the remainder when 47 is divided by y.
11
Let d be (-2)/(-12) + 17/6. Suppose d*q = -q + 12. Calculate the remainder when 5 is divided by q.
2
Suppose -4*b + 5 = u, 0 = -u + b + 2*b + 33. What is the remainder when 52 is divided by u?
10
Let l(i) = 10*i**2 + i - 1. What is the remainder when l(1) is divided by (-12)/(-7)*(-28)/(-8)?
4
Suppose 2 = -5*j + 7*j. Calculate the remainder when 3 is divided by j.
0
What is the remainder when 77 is divided by -6*(-2)/18*15?
7
Suppose 7*u + 4*u - 506 = 0. Calculate the remainder when u is divided by 7.
4
Calculate the remainder when -1 - (3 + -19 + 2) is divided by 3.
1
Let b = 2 + -1. Let i(n) = 2*n + 1. Let z be i(b). Suppose -r + 170 = 3*r - 2*a, -z*r + 134 = 5*a. Calculate the remainder when r is divided by 15.
13
Suppose 4*g + 18 = 22. Suppose -6 = 3*r - 0*r. Let m = 3 + r. What is the remainder when m is divided by g?
0
Let k = -15 + 27. Let v = -10 + 14. Suppose -2*n = b + n - 12, -v*b + 2*n + 90 = 0. Calculate the remainder when b is divided by k.
9
Let l(q) = 2*q**3 + 2*q + 1. What is the remainder when 79 is divided by l(2)?
16
Suppose -4*f + 48 = -0*f. Suppose -w - f = -4*w. Suppose 3*u = b + 5, -u = w*b + 4 - 23. Calculate the remainder when 7 is divided by u.
1
Let q = 23 - -7. Suppose -4*x + 32 + 36 = 0. Calculate the remainder when q is divided by x.
13
Let l = -2 + 20. What is the remainder when 51 is divided by l?
15
Suppose 4*b - 33 = 4*s + 115, -4*b + 143 = -5*s. What is the remainder when b is divided by 22?
20
Let q(v) = -v**3 - 5*v**2 + 6*v + 2. Let h be q(-6). Suppose 0*d + h*d = 106. What is the remainder when d is divided by 18?
17
Let b(k) = -5*k**2 - 11*k + 4. Let o(x) = 3 + x - 3 + x**2 + 0. Let p(s) = b(s) + 4*o(s). Calculate the remainder when 19 is divided by p(-6).
9
Let z = -1 + -1. Calculate the remainder when 16 is divided by 4/(-2) - (-6 + z).
4
What is the remainder when 58 is divided by 2*9 + (-6)/2?
13
Suppose k + 2*k - 141 = 0. Suppose 0 = -3*o + k - 11. What is the remainder when 35 is divided by o?
11
Suppose 7*k - 5*k = 0. Suppose k = 5*q - 112 - 3. Let x = -19 + 27. What is the remainder when q is divided by x?
7
Suppose 35 = 3*p - 13. Let v(j) = 9*j**2 - 4*j + 2. Let x(b) = -b**3 - 4*b**2 + 5*b + 2. Let h be x(-5). What is the remainder when v(h) is divided by p?
14
Let o be (-1 - -3)*(-4)/(-8). Let s be (30/35)/(o/7). Calculate the remainder when 2/s - 208/(-6) is divided by 18.
17
Suppose 5*j - 25 = -2*c, -3*j + 0*c - c = -16. Calculate the remainder when 41 is divided by j.
6
Suppose 19*k = 16*k + 54. Calculate the remainder when 88 is divided by k.
16
Suppose 0 = -24*h + 30*h - 216. What is the remainder when 70 is divided by h?
34
Let f be -18*(-2)/4*2. Let s = f - 6. Calculate the remainder when 34 is divided by s.
10
Let y(l) = -5*l - 13. What is the remainder when (102/4)/(3/4) is divided by y(-5)?
10
Let l be -909*-2*3/18. Suppose k + 5*u - 49 = 0, -5*k + l = -2*u - 50. What is the remainder when k is divided by 18?
15
Let k(h) = h**2 + 5*h - 21. Calculate the remainder when k(8) is divided by 23.
14
Suppose -n - 37 = -4*z - 117, -5*n + z + 381 = 0. Suppose 4*m - 2*m = 10, 2*m = j - 3. Calculate the remainder when n is divided by j.
11
Let c(i) = -i**3 - i**2 + 3*i - 3. Let u be c(-3). Let y = u + -15. Calculate the remainder when 3 + -4 - 4*y is divided by 12.
11
Suppose -2*y = -5*j - 41, 0 = -y + 6*y + 3*j - 118. Let l(d) be the second derivative of d**3/3 - 2*d**2 + 2*d. What is the remainder when y is divided by l(8)?
11
Let y = 93 + -56. Suppose -2*s - s + 39 = 0. Calculate the remainder when y is divided by s.
11
Let o(n) = -31*n**3 + n**2 + 2*n + 2. What is the remainder when o(-1) is divided by 11?
10
Let w = 14 + 0. Calculate the remainder when 95 is divided by w.
11
Let p(x) = x**2 + 1. Let r be p(-2). Let g(n) = 3*n. Calculate the remainder when 57 is divided by g(r).
12
Let b = 2 + -3. Calculate the remainder when 23*(b + 0 + 2) is divided by 13.
10
Let c = -281 - -117. Let m = c + 307. Suppose 5*j - i = m, -3*j + 121 = -2*i + 38. Calculate the remainder when j is divided by 10.
9
Let j(l) = l**3 + 4*l**2 + 2. Let i = -8 + 10. What is the remainder when i is divided by j(-4)?
0
Let v(j) be the second derivative of j**3/2 - 2*j**2 - j. Let s be v(6). Calculate the remainder when (39/1)/(21/s) is divided by 14.
12
Suppose -2*g = 8*p - 9*p + 291, -2*p + 3*g + 580 = 0. What is the remainder when p is divided by 29?
26
Suppose -2*d = 3*d + 5*k - 150, 0 = -3*d + 5*k + 114. What is the remainder when 123 is divided by d?
24
Let i = 26 + -14. Let p = 18 + i. Calculate the remainder when p is divided by 16.
14
Let p(v) = -v**3 - v**2 + 4*v + 3. Let s be p(-4). Let c = s + -16. Let t(o) = o**2 + 7*o + 10. Calculate the remainder when c is divided by t(-7).
9
Let m(q) = -2*q + 14. Calculate the remainder when 41 is divided by m(0).
13
Let j(l) = l**3 - l**2 - 14*l + 1. What is the remainder when j(5) is divided by 17?
14
Let l = 3 + -2. Let u = l + 5. Calculate the remainder when 15 + -2 + (2 - 4) is divided by u.
5
Suppose -20 = -5*i, -l + 1 + 11 = 2*i. Let b(n) = -n**2 + 7*n - 5. Suppose 0 = -3*a - 3 + 15. What is the remainder when b(a) is divided by l?
3
Let x(b) = -b + 8. Calculate the remainder when x(-5) is divided by 8.
5
Suppose -1200 = -4*q - q. Suppose 2*f + 131 = -4*v + 349, 4*f + q = 5*v. Calculate the remainder when v is divided by 27.
25
Suppose 5*w = w + 3*h + 36, 0 = 5*h + 20. Suppose -w*l = -4*l - 26. Let m(b) = 8*b. What is the remainder when m(3) is divided by l?
11
Let g(v) be the first derivative of v**3/3 - 3*v**2 + 9*v - 1. Let z = 8 + -2. Calculate the remainder when g(7) is divided by z.
4
Let f = 63 + -20. Suppose 0 = -x - 3*x + 16. Suppose 3*g = x*g - 15. What is the remainder when f is divided by g?
13
Let k = -2 + 26. Calculate the remainder when k is divided by 14.
10
What is the remainder when (-52)/8*(-1 + -5) is divided by 20?
19
Let i be 11*2/2 + -3. Suppose -2*o - 2*z = -0*z - i, -4*o + 4*z = -56. What is the remainder when 34 is divided by o?
7
Let r(g) = g - 4. Let k be r(4). Let z be (k - 3) + (-3 - -5). What is the remainder when 2 is divided by 0 + -1 + (1 - z)?
0
Suppose 3*l + 4*v = 8*l - 77, 4*l - 5*v = 58. Let m = -3 - -12. Calculate the remainder when l is divided by m.
8
Let m = -160 - -185. Calculate the remainder when 42 is divided by m.
17
Suppose 35*r = 40*r - 470. Calculate the remainder when r is divided by 16.
14
Let d(n) = n**2 + n - 1. Suppose -y + 2*r = -3*y + 4, -2 = -y + 3*r. Let l be d(y). Suppose -g + l = -9. What is the remainder when 40 is divided by g?
12
Calculate the remainder when 219 is divided by (-6)/27 - 597*2/(-27).
43
Let l be 1/((-3)/9) + -102. Suppose j - 4 = -5*k - 0, 5*k - 10 = 5*j. What is the remainder when l/(-5) + 2/j is divided by 7?
5
Let s = 19 + -18. Suppose -2*a + 27 + s = 0. What is the remainder when 55 is divided by a?
13
Suppose -3*v - v = -152. What is the remainder when v is divided by 10?
8
Suppose 4*q - q + 200 = 4*v, 3*v + 3*q = 171. Suppose -5*z + 43 = 2*s - 3, s = 5*z + v. Calculate the remainder when s is divided by 9.
6
Let l = -10 + 20. What is the remainder when 46 is divided by l?
6
What is the remainder when (-10)/4*(-176)/10 is divided by 15?
14
Let k(t) = 3*t**2 + 2*t. Let l be k(2). Suppose 12*z = 8*z + 12. Suppose -z*a = -71 - l. What is the remainder when a is divided by 15?
14
Let z(b) = 2*b - 12. Let n be z(6). Suppose -5*l + 45 = -n*g + g, -18 = -2*l - 2*g. What is the remainder when l is divided by 4?
1
