. Calculate the remainder when 19 is divided by a.
4
What is the remainder when -2 + 22*(-2)/(-4) is divided by ((-1)/(-2))/(3/30)?
4
Let y(r) = 5*r**2 + 2*r. What is the remainder when y(-3) is divided by 21?
18
Let k be 3 + -1 - 0 - -1. Suppose -5*c + 106 = -k*c. Calculate the remainder when c is divided by (10/(-15))/((-3)/63).
11
Suppose -5*h + 3 = 4*m, 0 = -5*m + 4*m + h + 3. What is the remainder when 15*((-18)/(-5) - m) is divided by (6/(-9))/(4/(-78))?
11
Let d be ((-54)/(-12))/(1/2). Suppose 0 = n - 3, 2*x + 5*n - d = x. Let y(m) = m**2 + 7*m + 8. What is the remainder when 5 is divided by y(x)?
1
Calculate the remainder when 24 - (1 - (-4 - -7)) is divided by 11.
4
Let k(d) = 3*d - 2. Suppose -o - 3*w + w + 40 = 0, -4*o - 4*w + 140 = 0. Let a = o + -18. What is the remainder when a is divided by k(3)?
5
Suppose 2*j - p + 3 = 0, 2*p - 9 = 2*j - p. Let u be (-1 - j)/(3/(-15)). Suppose -32 + 12 = -u*f. What is the remainder when 7 is divided by f?
3
Suppose 4*l - 7*l + 90 = 0. Calculate the remainder when l is divided by (-220)/(-14) + (-2)/(-7).
14
Let i be (-2)/(-9) + 183/27. Suppose i*l - 40 = 3*l. Calculate the remainder when 38 is divided by l.
8
Suppose 0 = -5*i - 2*b + 376, 5*b + 55 - 273 = -3*i. Calculate the remainder when i is divided by 39.
37
Suppose -w + 2 = 0, -4*p + 0*w = 4*w - 28. Let j(v) = -v**3 + 6*v**2 - 5*v + 6. Calculate the remainder when 17 is divided by j(p).
5
Let k be -39*-2*3/18. Let d = 19 - k. Suppose 90 = 5*x - 5*c, 2*c - 18 = -3*x + 31. What is the remainder when x is divided by d?
5
Suppose 2*y = -2*y + 12. Suppose -2*z - a + 6 = 0, 0 = 5*z + y*a - 14 + 1. Suppose -z = b - 31. Calculate the remainder when b is divided by 9.
8
Let b(d) = -d**3 - 4*d**2 + 2*d + 2. Let s be 0/5 + (1 - -9). Suppose u + 4 = s. What is the remainder when b(-5) is divided by u?
5
Let k(l) = l**2 - 6 + 2 - 7*l - 2*l**2 + 2. What is the remainder when 10 is divided by k(-6)?
2
Suppose -2*j + 2 = -2*s + 8, 5*j = 4*s - 8. What is the remainder when 12 is divided by s?
5
Let b be 30/12*6/5. Suppose b*c - 6 = 27. What is the remainder when 21 is divided by c?
10
Suppose -3*q = 5*h - 182, 2*q + h = q + 60. Calculate the remainder when q is divided by 15.
14
Let g(i) = -2*i**2 + 11*i - 1. Calculate the remainder when 15 is divided by g(5).
3
Let z = -8 - -11. Suppose 0 = z*l - l - 16. Let d(f) = -4*f - 9. What is the remainder when d(-6) is divided by l?
7
Suppose -5*s + 10 = -0*s. Suppose 0 = -s*p - p + 3. What is the remainder when ((-24)/(-3) - 2)*p is divided by 4?
2
Suppose 1 + 20 = 2*c + a, -1 = -2*c + 3*a. What is the remainder when (-4)/(-18) - -374*1/18 is divided by c?
5
Suppose 4*y - 112 = -44. What is the remainder when 30 is divided by y?
13
Suppose 8*l - 7*l = 18. What is the remainder when l is divided by -1 - -2*(-11)/(-2)?
8
Suppose -3*s - x + 4*x = 51, -4*x + 26 = -s. Let p = 37 + s. Suppose 76 = k + p. Calculate the remainder when k is divided by 18.
17
Suppose -27 = -10*k + 7*k. Calculate the remainder when 34 is divided by k.
7
Suppose 0 = 6*l - 35 - 25. Calculate the remainder when (-4 + 1)*58/(-6) is divided by l.
9
Calculate the remainder when 29 is divided by 1 + (-40)/25 - 28/(-5).
4
Let l = 74 - 39. What is the remainder when l is divided by 19?
16
Suppose w - 2*k + 228 = 3*w, w - 5*k - 132 = 0. What is the remainder when w is divided by 20?
17
Suppose 4*o + 28 = -5*v + 84, 4*o + 4*v = 52. Suppose p - 10 = 3*p. Let q = o - p. Calculate the remainder when q is divided by 4.
2
Suppose -q + 6 = 4. Suppose -i - 22 = 3*d + q*d, i = -d - 2. Suppose 4*r - 58 = -j, r - i = 5*j + 1. Calculate the remainder when 40 is divided by r.
12
Calculate the remainder when 111 is divided by 0/1 - -3 - -25.
27
Suppose -m + 4*m = 5*w - 86, 4*w + 5*m = 54. What is the remainder when 62 is divided by w?
14
Suppose 4*u = -w - 1, 19 - 4 = 4*w - 3*u. Calculate the remainder when 5 is divided by w.
2
Let b(j) = -j + 17. Let s = -14 - -24. Calculate the remainder when b(0) is divided by s.
7
Suppose 18*q - 9*q - 378 = 0. What is the remainder when q is divided by (11 - 1)*(-12)/(-8)?
12
Suppose -5*i - 41 = -g + 45, 0 = 3*i + 3*g + 48. Let a = -1 - i. Let b = -15 - -21. What is the remainder when a is divided by b?
4
Calculate the remainder when 31 is divided by 1136/72 + 2/9.
15
Suppose 0*u = 5*u, 0 = -5*j - 3*u + 150. Suppose 3*c = c + j. What is the remainder when 72 is divided by c?
12
Let k(v) = 2*v**2 - 6*v + 6. Suppose -3*j - 74 = 2*p, -5*p = 15 + 5. Let n = j + 30. Calculate the remainder when k(4) is divided by n.
6
Calculate the remainder when 12/(0 + 4) + 85 is divided by 30.
28
Let w(g) be the second derivative of 29*g**4/6 + g**3/6 + 2*g. What is the remainder when w(1) is divided by 15?
14
Let o be 1 + -3 - -13 - -2. Let t be 7/(-1) - (1 - 2). Let q = t + o. What is the remainder when 20 is divided by q?
6
Let i = -4 - -9. Suppose i*u = 0, 4*d - 15 = 3*d - 3*u. Calculate the remainder when 1358/49 + 2/7 is divided by d.
13
Let b(a) = a**2 - 5*a - 7. Let u be (-106)/(-14) - (-4)/(-7). Let t = 30 - 11. What is the remainder when t is divided by b(u)?
5
Let u(x) = x + 25. Let b be u(0). Let a = -9 + b. What is the remainder when 30 is divided by a?
14
Let d be 184/6 - 4/6. Suppose -5*t + d = 5*k, -12 = -2*t - 0*k - k. Calculate the remainder when ((-31)/2)/((-3)/t) is divided by 11.
9
Let o be 1/(-3 + 402/135). Let m = 95 + o. Calculate the remainder when m is divided by 13.
11
Let u(t) = t + 9. Let k be u(-5). Let x = 5 + k. What is the remainder when x is divided by 3?
0
Suppose 0 = -2*c + 3*c - 5. Suppose 38 = 3*g + c*a, -a = g - 2*a - 2. Suppose g*f - 3*f = 87. What is the remainder when f is divided by 10?
9
Suppose -8*o + 3*o + 105 = 0. Let p(d) = d + 35. Calculate the remainder when o is divided by p(-23).
9
Let m = 9 - 4. Let q = -9 + m. Calculate the remainder when 8 is divided by ((-3)/q)/(6/24).
2
Let i(w) be the first derivative of 5*w**2/2 - 1. Suppose -28 = -o + 4*r, -112 = -o - 3*o - 4*r. What is the remainder when o is divided by i(3)?
13
Suppose 40 = 4*j - 32. Suppose 0 = 5*a - j - 72. What is the remainder when 53 is divided by a?
17
Suppose 50 = 5*z - 4*z. What is the remainder when z is divided by -1 - (0/1 - 14)?
11
Let g be (-20)/(-6)*6*5. Suppose -5*d = -g + 35. What is the remainder when 49 is divided by d?
10
Suppose -7 - 29 = 2*z. Suppose -3*s - 25 = -m, -2*m + 36 = -4*s + 5*s. What is the remainder when m is divided by (-2)/(-2 + z/(-10))?
9
Let q = -72 + 122. What is the remainder when q is divided by 17?
16
Let c(m) = -m + 2. Calculate the remainder when c(-1) is divided by 2.
1
Let b = 6 - 26. Let t = b - -28. Calculate the remainder when 1*(2 - -14 - 1) is divided by t.
7
Let d = 39 + -8. What is the remainder when d is divided by 17?
14
Let q(v) = -2*v + 12. What is the remainder when q(0) is divided by 7?
5
Suppose -m = 4 - 17. Let f = 63 - 39. Calculate the remainder when f is divided by m.
11
Let s(m) = 16*m - 2. What is the remainder when s(5) is divided by (-33)/(-27) + -1 + (-356)/(-18)?
18
Let x(q) = 2*q**3 - 3*q**2. Let j be x(2). What is the remainder when 3 + 1/4*j is divided by 2?
0
What is the remainder when 137 is divided by (120/(-36))/(2/(-21))?
32
Suppose -28 = -5*l + 6*l. Let m = l + 53. What is the remainder when m is divided by 9?
7
Let r be 18/(-3)*1 + -3. Let x = r + 14. What is the remainder when 17 is divided by x?
2
Suppose -5*r + 162 = 4*w, 0 = 2*w + 5*r - 2*r - 82. Calculate the remainder when w is divided by 13.
12
Suppose 0 = 5*o - 5, -5*k + 2*o + o = -12. Suppose -l - l + 10 = 0. Calculate the remainder when (-4)/l*(-15)/2 is divided by k.
0
Suppose 90 = -2*m - 3*v - 160, -5*m - 625 = 4*v. What is the remainder when (m/20)/((-1)/4) is divided by 9?
7
Suppose 194 + 95 = 17*l. Let x(w) = w**3 + 3*w**2 + 3. Let q be x(-4). Let z = -7 - q. Calculate the remainder when l is divided by z.
5
Let x = -23 + 73. What is the remainder when x is divided by 27?
23
Suppose 16*q - 22*q = -360. What is the remainder when q is divided by 21?
18
Let m(h) = -2*h - 1. Let f be m(-3). Suppose -3*d - 5*j + 20 = 0, 4*j = -2*d + f*d + 16. What is the remainder when (d - 20)/(-5 + 4) is divided by 7?
6
Let u = -24 - -26. Suppose k = 13 - u. Calculate the remainder when 54 is divided by k