1
What is the remainder when 30 + (-1 - -3 - 1) is divided by 17?
14
Suppose -3*w + 381 = 5*t, -2*t - 4*w + 6*w = -146. Suppose -s + 2*v = -8, s - 3*v - t = -4*s. Calculate the remainder when s is divided by 10.
8
Let w(k) = -k**3 - k**2 - 2*k + 1. Suppose -5*l - h = -4*h - 108, -5*l = 3*h - 132. Calculate the remainder when l is divided by w(-2).
6
Let h(y) = -y**3 - 3*y**2 + 3*y + 3. Let x be h(-4). Let k = x + -2. Calculate the remainder when 7 is divided by k.
2
Suppose 0 = 5*g - 0*g - 5*b - 245, -4*b = 3*g - 168. Suppose 0 = 2*f - 3*p - 26, 4*f - 5*p = -0*f + g. What is the remainder when 23 is divided by f?
10
Let i(k) = -4*k**2 + 5*k + 5. Let u(v) = 2*v - v + 1 - v**2 + 0 + 0. Let c(f) = i(f) - 5*u(f). What is the remainder when c(-6) is divided by 19?
17
Let m(k) = k**3 + 5*k**2 + 4*k - 1. Let p = 8 - 11. Let y be m(p). Let b = 6 + y. What is the remainder when b is divided by 3?
2
Suppose 13*h - 54 - 336 = 0. What is the remainder when 118 is divided by h?
28
Suppose 13 = -11*t + 35. Calculate the remainder when 4 is divided by t.
0
Suppose 0 = -2*r + 147 - 37. Suppose 2*s = 4*s - 4*w - 28, -3*w - 70 = -5*s. Calculate the remainder when r is divided by s.
13
Suppose -8*x + 38 + 90 = 0. Calculate the remainder when 57 is divided by x.
9
Calculate the remainder when 10 is divided by -10 - -7 - (0 + (3 - 10)).
2
Let t(c) = 2*c**2 + c + 4. Calculate the remainder when t(3) is divided by 7.
4
Suppose 0 = 8*k - 71 - 81. Calculate the remainder when 70 is divided by k.
13
Let l = -77 - -90. Calculate the remainder when 24 is divided by l.
11
Let n(z) be the third derivative of z**4/6 - 3*z**3/2 - 4*z**2. Calculate the remainder when 56 is divided by n(7).
18
Suppose -3*a + 0 = 2*o - 19, o - 2*a + 8 = 0. Suppose -2*g - 1 = 3*i, -i = o*g - g. What is the remainder when 40 is divided by i/2*(-28)/1?
12
What is the remainder when 24 is divided by (-1)/2 - (-27)/2?
11
Let n = -7 + 11. What is the remainder when -2 - ((-3 - 10) + -2) is divided by n?
1
Suppose -19 = -2*b + 25. Calculate the remainder when 64 is divided by b.
20
Let q(k) be the first derivative of k**2/2 - 2*k + 1. Suppose -35 = -5*t - 0*t. What is the remainder when 14 is divided by q(t)?
4
Let t = 84 - 34. Let h = -17 - -30. What is the remainder when t is divided by h?
11
Let w(c) = c**2 + 3*c + 2. Let o be (6 + -2)/(-1 + -1). Let i be w(o). Suppose -24 = -4*l - i*l. What is the remainder when l is divided by 3?
0
Let f be (2 - 5)/(3 - 4). Suppose f*g - g = 6. What is the remainder when g is divided by 2?
1
Let a(l) = -7*l - 5. Calculate the remainder when 29 is divided by a(-3).
13
Suppose 0 = 7*i - 2 - 33. What is the remainder when 8 is divided by i?
3
Let d be (2 + -1)/2*-2. Calculate the remainder when 13 - (-1)/d - 1 is divided by (-6)/21 - (-44)/7.
5
Let f(q) = q**2 - 47*q + 130. Calculate the remainder when f(45) is divided by 3*(-1)/((-3)/14).
12
Let v(r) = -2*r + 4. Let m be (-14)/21 - 182/(-3). Let c = 100 - m. Calculate the remainder when c is divided by v(-5).
12
Let l(c) = -8*c - 11. What is the remainder when 51 is divided by l(-3)?
12
Let j(q) = -26*q - 3. Let m be j(-2). Suppose -m + 9 = -5*r. Calculate the remainder when 14 is divided by r.
6
Suppose -m - 7 = -71. Suppose -n = 3*n - m. What is the remainder when n is divided by (2/(-3))/(1/(-9))?
4
Suppose -17*u + 180 = -14*u - 3*r, -u + 5*r + 80 = 0. Calculate the remainder when u is divided by 144/10 + (-4)/10.
13
Let q = 4 - -8. Let s be 2/(-7) - 5/7. What is the remainder when 1 - (24*s + 3) is divided by q?
10
Let v(j) = j**2 + 9*j - 10. Let q be v(-7). Let t = -10 - q. Suppose 0*c = 2*z + c - 111, -5*z + c + 274 = 0. Calculate the remainder when z is divided by t.
13
Suppose -19 - 51 = -5*y. Let g(j) = j**3 - 9*j**2 + 6*j - 13. What is the remainder when g(9) is divided by y?
13
Suppose -2*u = -6, -5*g = -3*u + 4*u - 138. Calculate the remainder when 105 is divided by g.
24
Suppose -23 = t + 40. Let j = -33 - t. What is the remainder when j is divided by 8?
6
Suppose 0 = -5*c - q + 19, 9 = -c - 2*q + 5*q. Let x be ((-1)/(-1))/2*0. Suppose c*k - 18 = -x*k. What is the remainder when 16 is divided by k?
4
What is the remainder when 1076/7 + (4 - (-52)/(-14)) is divided by 40?
34
Let l(z) = -26*z + 5. Calculate the remainder when l(-2) is divided by 12.
9
Let c(d) be the second derivative of -d**5/20 - 5*d**4/12 - 5*d**3/6 - d**2 + 4*d. Let m be c(-3). Calculate the remainder when 31 is divided by 1 - -2 - m - 0.
7
Suppose 49 = 4*z + l, -6 = -l + 3*l. Let f = 99 + -50. What is the remainder when f is divided by z?
10
Suppose 8*b - 250 = 3*b. Let p = -26 + b. Suppose 9 = -5*l + 5*h + p, -2*l + 5*h = -6. What is the remainder when 7 is divided by l?
1
Suppose -4*q = -3*o + o + 4, 3*o - 2 = 2*q. Let z = 3 + q. Calculate the remainder when 5 is divided by z.
1
Suppose -4*v = -v - 4*s + 32, 4*v = s - 21. Calculate the remainder when 50 is divided by 255/20 + (-1)/v.
11
Let z be 0/(-2 + 5 - 2). Suppose -10 = 2*j - b, 3*j + 2*b = -z*j - 29. Let g = j - -14. Calculate the remainder when 27 is divided by g.
6
Let v(d) = 6*d**3 + d**2 - 1. Calculate the remainder when 23 is divided by v(1).
5
Let i = -96 - -126. Calculate the remainder when i is divided by 16.
14
Suppose 0*j - 4*j = 3*u - 120, 195 = 5*u + 5*j. Suppose -l + 20 = x, 0 = -2*x + 4*x + 3*l - u. Calculate the remainder when 46 is divided by x.
22
Calculate the remainder when 5/(7 - -3)*94 is divided by 17.
13
Suppose 4*c = 40 + 4. Let k = c + -6. Calculate the remainder when 4/(-14) - 300/(-21) is divided by k.
4
Suppose -5*w + 5 = -3*u, -4*w = 3*u - 0*u + 50. Let j(d) = -d**3 - 9*d**2 + 7*d - 9. What is the remainder when j(u) is divided by 8?
5
Suppose 3*d - 289 = 4*g, 0 = 3*g - 2*g - 2. What is the remainder when d is divided by 25?
24
Suppose 2*a - 3*o + 13 = 0, -10 - 1 = -a - 2*o. Suppose -a = 3*c - 4. What is the remainder when 3 is divided by c?
0
Calculate the remainder when 3/(6/2)*31 is divided by 16.
15
Let i(p) = -p**2 + 11*p + 14. Calculate the remainder when 77 is divided by i(11).
7
Let n(c) = 2*c**3 - 24*c**2 + 5*c - 28. What is the remainder when 93 is divided by n(12)?
29
Suppose -2*q = -3*k - 62, 0 = -3*q + 2*k + 40 + 48. Calculate the remainder when q is divided by 15.
13
Suppose -x + 6 + 2 = -3*q, -3*x + 36 = 3*q. Let w(l) = l + 12. Calculate the remainder when x is divided by w(-6).
5
Suppose -4*n = -3*s - 9, -n + 2 - 1 = -2*s. Suppose -n*d = -61 - 20. Suppose -y + d = 5*u, -y - 2*y = -2*u + 4. What is the remainder when 6 is divided by y?
0
Let z(n) be the second derivative of n**3/6 + 15*n**2/2 - 5*n. Calculate the remainder when 9 is divided by z(-12).
0
Suppose 0 = i - 4*i. Suppose 2*y - 28 + 4 = i. Calculate the remainder when 22*(4 - (3 + 0)) is divided by y.
10
Let b = 353 + -235. Calculate the remainder when b is divided by 30.
28
Suppose 0 = 2*c + 10 - 24. Calculate the remainder when 27 is divided by c.
6
Let t = -11 - -4. Let p = -4 - t. Calculate the remainder when 5 is divided by p.
2
Let l = -6 - -8. Suppose -17 = -l*o - 3*o + 3*n, -5*o = 3*n - 23. Suppose -s + 5 = o*m, 6*s - 2*m = s + 47. Calculate the remainder when s is divided by 6.
3
Let o(m) = m**2 + 4*m + 2. Let x(s) = s**3 - 7*s**2 - 5. Let h be x(7). Let z be o(h). Let t(k) = 5*k. What is the remainder when t(z) is divided by 12?
11
Suppose m + 4 - 2 = 0, 5*m - 85 = -5*w. What is the remainder when 35 is divided by w?
16
Let u = -28 + 40. What is the remainder when 46 is divided by u?
10
Let c(p) = -p + 2*p - 5*p + p. What is the remainder when (6 - -4) + -1 + 1 is divided by c(-2)?
4
Suppose 0 = -4*f + 2*t + 2*t + 132, -5*f + t = -145. Calculate the remainder when 81 is divided by f.
25
Let a(t) = -8*t**2 + t - 1. Let w be a(2). Let j = w + 58. What is the remainder when 79 is divided by j?
25
Suppose 0 = 7*c - 2*c - 1015. Calculate the remainder when c is divided by 41.
39
Suppose -4*o = -0*o - 20. Suppose -3*p + 4 = 2*a, 2*p + o*a = -3*p + 15. What is the remainder when 21 is divided by (1 - 23)*p/4?
10
Suppose -2*v + 0*v = -56. Suppose 2*t - b = 25, t + 2*t + 3*b - 51 = 0. Calculate the remainder when t is divided by v/7*1*2.
6
Suppose -4*t = -0 + 12, -4*l = -t - 279. Let y(b) = b**2 + 5*b - 18. What is the remainder when l is divided by y(4)?
15
Let b =