et p = 27 + -15. Calculate the remainder when 55 is divided by p.
7
Let t = 2 + 0. Suppose -4 = t*h, 2*i + 0*h - 24 = -2*h. Suppose 3*p + 7*x - 40 = 2*x, 10 = 2*x. Calculate the remainder when i is divided by p.
4
Suppose 3*m + m = 76. Let r = -42 + m. Let j = 40 + r. What is the remainder when 33 is divided by j?
16
Suppose 20 = -i + 5*i. Let v be -2*9/(-30)*i. Suppose -v*x - u + 50 = 0, -5*x + u + 51 = -35. Calculate the remainder when x is divided by 9.
8
Let q = 53 + -32. What is the remainder when 101 is divided by q?
17
Suppose -6*r + 65 = -r. Suppose -2*t - 77 = 31. What is the remainder when r is divided by (-4)/10 + t/(-10)?
3
Let m(f) be the third derivative of f**4/4 + 3*f**3/2 + f**2. What is the remainder when m(6) is divided by 16?
13
Let n(o) = -o**2 + o + 2. Let m be n(4). Let s = m + 22. Calculate the remainder when (1/(-2))/((-2)/188) is divided by s.
11
Suppose 10*c - 263 = -73. Calculate the remainder when c is divided by 12.
7
Let l = -1 + 17. Suppose -3*p + l = 2*c - c, 0 = 2*c + p - 27. Calculate the remainder when 4/(-14) + (-1072)/(-28) is divided by c.
12
Suppose 3*o + 175 = 5*r, 2*r + 3*r = -3*o + 205. Suppose -5*v + 5*s + 20 = -4*v, v + s = 20. What is the remainder when r is divided by v?
18
Let d(w) = 7*w + 4. Let k = -10 + 17. Calculate the remainder when d(k) is divided by 14.
11
What is the remainder when (-4)/(4/101)*-1 is divided by 13?
10
Suppose -7*u - 35 = -119. What is the remainder when 35 is divided by u?
11
Let g be 128/(-6) + (-10)/15. Let m = g + 75. What is the remainder when m is divided by 14?
11
Suppose 0 = 2*o + 8, -5*b + 6*o + 85 = o. What is the remainder when 1/(-2) - 1/((-8)/204) is divided by b?
12
Calculate the remainder when (-5 - (-3 + 0)) + 41 is divided by 7.
4
Let h(i) = i**3 + 8*i**2 - i + 10. Let k be h(-8). Suppose -10*d + 9*d = -k. What is the remainder when 34 is divided by d?
16
Calculate the remainder when 57 is divided by (-7)/14 - 50/(-4).
9
Let j = 8 + -6. Suppose 4*k - 54 = -3*g + 42, j*k - 34 = -g. What is the remainder when g is divided by 15?
13
Let d = 71 - 50. Let i = -20 + 26. Calculate the remainder when d is divided by i.
3
Suppose 2 + 6 = 4*x. Calculate the remainder when 2 is divided by x.
0
Suppose 0 = 3*s + 12, -3*m - 2 = -6*m - s. Suppose 4*g - 4*a - 78 = -m*a, -4*g = 4*a - 60. Let n = 35 - g. Calculate the remainder when 32 is divided by n.
15
Suppose -5*l - 3*k - 28 = -75, -3*l + 25 = 5*k. Suppose d - l = -4*d. Suppose 0 = d*i + 3*i - 65. Calculate the remainder when 25 is divided by i.
12
Let i(c) = 12*c - 5. Suppose -2*k + 6 = 0, -b - k = -4*b. What is the remainder when i(4) is divided by (b + (-3)/6)*30?
13
Suppose -c = -0*c - 29. Suppose c = 5*d - 1. Calculate the remainder when 17 is divided by d.
5
Suppose 10*a - 5*a - 5*l = 40, -8 = 4*l. What is the remainder when 11 is divided by a?
5
Suppose 2*a - 82 - 104 = -m, 5*a = 3*m + 454. Calculate the remainder when a is divided by 48.
44
Suppose 0 = 5*u - s - 4, 10 = 3*u + 2*u + 5*s. Suppose u = -3*o + 28. What is the remainder when 17 is divided by o?
8
Let c = 71 - 21. What is the remainder when c is divided by 14?
8
Suppose -114 = -z - 31. What is the remainder when z is divided by 7?
6
Let w(o) = -o**2 + 5*o + 6. What is the remainder when w(5) is divided by 6?
0
Suppose -4*y + 2 = -154. Calculate the remainder when 152 is divided by y.
35
Let d(m) = -m**3 + 7*m**2 + 2*m + 3. Calculate the remainder when 45 is divided by d(7).
11
Let i = 1 - 0. Let h(t) = 10 + 10*t**3 - 2*t + 9*t**3 - 9 - t**3. Calculate the remainder when h(i) is divided by 9.
8
Let a = 21 - 5. Suppose -4*m = 4*t - t - 18, 2*m = -5*t + a. Calculate the remainder when (189/3)/m + -1 is divided by 7.
6
Suppose 2*z + 2*z + 96 = 0. Let n = -5 - z. Calculate the remainder when n is divided by 10.
9
Let g be -1 - -4 - (-3 + 1). Let j = -2 + 5. Suppose g*b = 3*d + d - 34, -j*b = d. What is the remainder when 9 is divided by d?
3
Suppose 3*z + 2 = 5. Let w be (z - 0)/(3/123). Suppose -4*h = -181 + w. What is the remainder when h is divided by 12?
11
Suppose -4*q = -2*m + 116, 6*m - 266 = m + 2*q. Suppose -m = 2*h - 4*h. What is the remainder when h is divided by 7?
5
Suppose 0 = 2*i + 2*i - 68. Calculate the remainder when 44 is divided by i.
10
Suppose 0 = -4*d + 27 + 5. Let x(n) = 2*n - 7. What is the remainder when d is divided by x(6)?
3
Let g(w) = -6*w - 10. Calculate the remainder when 53 is divided by g(-4).
11
Let q = -7 + 7. Suppose 2*n + 2*i - i - 78 = q, n = 4*i + 30. Calculate the remainder when n is divided by 10.
8
Suppose z + 2 = 0, -2*z - 46 - 58 = -4*f. Suppose 49 = 4*i + 3*c - 0*c, -5*i + 5*c + 70 = 0. What is the remainder when f is divided by i?
12
Suppose -l + 21 = -130. Suppose 5*n - l = 39. Calculate the remainder when n is divided by 14.
10
Suppose -3*u - 1 = 8. Calculate the remainder when 15 is divided by 5 - (3 + -1 + u).
3
Calculate the remainder when (2 + (-15)/6)*-18 is divided by 4.
1
Let n be (-33)/(-5)*(-1 + 6). Let b = -13 + n. Let c = -14 + 21. Calculate the remainder when b is divided by c.
6
Suppose 62 - 247 = -5*c. Suppose c - 11 = 2*t. What is the remainder when 37 is divided by t?
11
Let o = 3 + 2. Suppose 0 = -c + o. Suppose -1 = -c*a + 44. Calculate the remainder when 25 is divided by a.
7
Let b(q) = q**2 + 11*q + 2. What is the remainder when b(-14) is divided by 16?
12
Calculate the remainder when 39 is divided by -3*(-28)/24*2.
4
Let a(m) = -m**3 - 3*m**2 + m + 2. Let c = 0 + 0. Let k be 0 + c + -5 + 1. What is the remainder when a(k) is divided by 5?
4
Let z(j) = -j**2 + j + 22. Let p(m) = -m**3 - 11*m**2 - m - 11. Let f be p(-11). What is the remainder when z(f) is divided by 8?
6
Let l(d) = d + 2. Suppose -2*f = f. Let m be l(f). Let a(b) = 5*b - 2. What is the remainder when 22 is divided by a(m)?
6
Let d be (-6)/(-21) + (-136)/(-14). Let w(o) = 2*o - 13. Calculate the remainder when 40 is divided by w(d).
5
Let q be (-9 + 5)*(-2 - -1). Suppose q*g = 2*g + 32. Calculate the remainder when g is divided by 6.
4
Suppose 7*c - 340 = -3*c. What is the remainder when c is divided by 18?
16
Let j = 3 - -4. What is the remainder when 116 is divided by j?
4
Suppose 0*n + 8 = 2*n. Suppose -n*h + h + 3*d = 9, 0 = h + 3*d - 17. Calculate the remainder when 26 is divided by 9*(2 - 2/h).
8
Suppose 2*t - 5*x = 27, -t - t = 4*x. Suppose -3*h = -3*l, 0 = -2*h - 3*l + 15. What is the remainder when t is divided by h?
0
Let u(d) = -d**3 - 4*d**2 + 4*d - 7. Suppose 12 = -3*w - 0*w. Let k(h) = h**3 + 4*h**2 + h - 2. Let c be k(w). What is the remainder when u(c) is divided by 14?
13
Let q(j) = -9*j - 4. What is the remainder when q(-6) is divided by 3?
2
Calculate the remainder when (1 - -2*13/(-14))*-63 is divided by 21.
12
Let f be 5 + -2 - 0/(-2). Suppose -4*r + 11 = l - 0*l, 2*l = -f*r + 12. Calculate the remainder when 11 is divided by l.
2
Suppose -19*q + 13*q = -156. What is the remainder when q is divided by 4?
2
Let r(k) = 30*k**2. Suppose -z + 15 = 5*o, o - 5 = -3. Let f be z/7 - (-12)/42. What is the remainder when r(f) is divided by 16?
14
Let a = 19 + 4. Suppose 7*l - 47 = 44. What is the remainder when a is divided by l?
10
Let s(i) = -i**3 + 8*i**2 + i - 3. Let k(d) = -d**3 + d**2 + 1. Let w(j) = 2*k(j) - s(j). Let c = 22 - 16. What is the remainder when w(-6) is divided by c?
5
Let d(q) = q + 1 + 4 + 4. What is the remainder when 5 is divided by d(-6)?
2
Suppose 0 = 3*h - 44 - 52. Suppose 0 = -2*i + 20 + h. What is the remainder when i is divided by 7?
5
Let h = 15 - 21. Let y(i) = -6*i - 8. Let g be y(h). Suppose -3*d - g = -a, 0*a - 2*d + 28 = a. What is the remainder when a is divided by 10?
8
Let t(f) = 8*f + 32. What is the remainder when 126 is divided by t(0)?
30
Suppose 0 = -a - 8*a + 81. Calculate the remainder when 21 is divided by a.
3
Let i(h) be the third derivative of h**6/120 + 7*h**5/60 + h**4/8 - 4*h**3/3 - 5*h**2. What is the remainder when 49 is divided by i(-6)?
9
Let p = -18 + 34. Let o(h) = 7*h + 5. Let b be o(6). Calculate the remainder when (0 + b)/(-1 - -2) is divided by p.
15
Suppose -56 = -5*g - 16. Let r = 34 - 3. What is the remainder when r is divided by g?
7
Let y be (-12)/(-18)*(-12)/(-2). Suppose -y*l + 16 = 4*i, -2*l - 1 = 3*i - 17. Let a = i - -2. Calculate the