10
Let n = 2643 + -2096. What is the remainder when n is divided by 19?
15
Suppose -5*y + 16 = 6. What is the remainder when 10 is divided by y?
0
Let h = 1607 - 1529. What is the remainder when 144 is divided by h?
66
Let x = -483 + 810. Calculate the remainder when x is divided by 37.
31
Let t(r) = -16*r**3 + r**2 + r. Let u be t(-1). Suppose 1 = -l + u. Suppose -29*p + 288 = 7*p. What is the remainder when l is divided by p?
7
Suppose 0 = 51*k - 44*k - 210. Calculate the remainder when 111 is divided by k.
21
Let l(k) = 3*k**2 + k - 11. Calculate the remainder when 225 is divided by l(-9).
2
Let d = -102 + 106. Calculate the remainder when 90 is divided by d.
2
Let y(h) = 89*h - 260. What is the remainder when y(9) is divided by 78?
73
Suppose 9*c = -2*t + 4*c + 173, -2*t + 164 = 2*c. Let n(h) = 20*h**2 - 2*h. Let w be n(2). What is the remainder when t is divided by 1 - 0 - (-2)/(8/w)?
19
Let m be ((-21)/(-9))/(3/(-9)). Let n(y) = -6*y - 17. Suppose -29 = -3*u - g, 2*u - 16 = -g + 2*g. What is the remainder when n(m) is divided by u?
7
Let t = 64 - 43. Let q(p) be the first derivative of -11*p**2/2 - 14*p + 32. Calculate the remainder when t is divided by q(-2).
5
Let o(k) = 8*k - 4 - k**2 + 9*k - 6 - 7*k. Let s be o(10). Let i = 16 + s. What is the remainder when 23 is divided by i?
5
Suppose -s - n - 4*n = -11, 2*n + 22 = 4*s. Suppose 4*j - 4*o = 116, -4*j + s*j - o - 61 = 0. Calculate the remainder when 126 is divided by j.
30
Let t(c) = 13*c + c - 39 - 5*c - 6*c. What is the remainder when 24 is divided by t(16)?
6
Calculate the remainder when ((7 - 2) + -4)/((-1)/(-95)) is divided by 26.
17
Let b = 34 - 39. Calculate the remainder when 123 is divided by 91/(-26)*(b - -1).
11
Suppose 14 - 8 = -2*f. What is the remainder when 83 is divided by 2 + (-19)/(4 + f + -2)?
20
Let h be 4*(10/(-8))/(-5). What is the remainder when 35 is divided by (h/(-2))/((-9)/342)?
16
Suppose 75*g = 32*g + 215. What is the remainder when g is divided by 2?
1
What is the remainder when 33904/117 + (-4)/(-18) is divided by 6?
2
Suppose 0 = -252*k + 237*k + 1185. What is the remainder when 228 is divided by k?
70
Suppose -4*p - 2*l + 23 = -3*p, -4*p + 76 = 4*l. What is the remainder when p is divided by 9?
6
Let u(m) be the third derivative of m**5/60 - m**4/12 + m**3 + 9*m**2. What is the remainder when u(9) is divided by 18?
15
Suppose -26*o = 62*o + 2*o - 1440. Suppose 39 = -d + 92. Calculate the remainder when d is divided by o.
5
Suppose 0 = -5*d - 5*b + 60, 5*b = 3*d + d - 39. Suppose 2*x + d = 85. What is the remainder when x is divided by 8?
5
Suppose -12*m + 2*m + 2430 = 0. Suppose -4*z = -3*r - m, -3*z - 119 = -5*z + r. What is the remainder when z is divided by ((-1)/1)/(2/(-24))?
9
Suppose 6 = 16*j - 10*j. What is the remainder when (-108)/(-48)*16*j + -2 is divided by 19?
15
Suppose 5*u = -2*l - 204, l + 0*l - 3 = 0. Let c = u + 55. Let i = -36 + 87. What is the remainder when i is divided by c?
12
Suppose 5*y - 5*t = 155, -2*t - 165 = -5*y - 7*t. What is the remainder when 67 is divided by y?
3
Let x = 86 - 28. Let s = -26 + 36. Suppose 0 = -3*j - 15, -5*j + s = 2*h - j. What is the remainder when x is divided by h?
13
Suppose -11206 = -7*r - 11087. Calculate the remainder when 48 is divided by r.
14
Let c be (0 + -5)/(-2 + 1). Suppose 0 = -c*o - 2*x + 11, 2*o - x = -6*x - 4. Suppose -7 - o = -r. What is the remainder when 17 is divided by r?
7
Let a = 1 - -2. Let t(n) = -n**3 + 7*n**3 - a - n**2 + 2*n - 2*n**3 - 3*n**3. What is the remainder when 7 is divided by t(2)?
2
Let g(m) = m + 86. Let y = -20 + 40. What is the remainder when g(-7) is divided by y?
19
Let d(y) = y**2 + 22*y - 18. Let u(w) = -4*w**2 - 66*w + 54. Let h(x) = 7*d(x) + 2*u(x). Calculate the remainder when h(18) is divided by 11.
10
Suppose 0 = 5*s - 20, 0*r = 5*r - s + 184. Suppose -5*t + 3*a - 5*a + 161 = 0, 3*a - 71 = -2*t. Calculate the remainder when t is divided by 132/r*(-4 + 1).
9
Let s = -14 - -8. Let t(u) = u**3 + 7*u**2 + 4*u - 5. Calculate the remainder when 23 is divided by t(s).
2
Let f = -4 + 10. Let k be (-165)/f - 12/(-8). Let r = -9 - k. Calculate the remainder when r is divided by 10.
7
Suppose -2*u - u = -4*g - 205, -5*u + 5*g + 350 = 0. Let l = u - 53. Calculate the remainder when l is divided by 5.
2
Let p(j) = 8*j - 7. Suppose -3*f + 8 = f + 4*i, 2*i + 8 = 4*f. Let a(v) = -21*v - 2. What is the remainder when a(-3) is divided by p(f)?
7
Let r = 95 - 94. Calculate the remainder when 40 is divided by 0/r + (24 + 1 - 4).
19
Let x(p) = -p**3 - 37*p**2 - 73*p - 86. Let j(o) = 20*o - 10. Calculate the remainder when j(6) is divided by x(-35).
15
Let w = 20 - 37. Let p = 12 + w. What is the remainder when (3 + -2)*0 - p is divided by 2?
1
Suppose 4*m + 3*i - 4*i = 23, 3*i - 3 = 0. What is the remainder when (-51 - 2)/(m + -7) is divided by 19?
15
Suppose -3*k + 76 = -8. What is the remainder when k is divided by 16/3 - (-16)/(-48)?
3
Suppose w + 0*z - 14 = -4*z, -z = -w - 1. Let s be 1*1*(w - 3). What is the remainder when (1 - s) + 68 + 5 is divided by 19?
18
Let b(f) = f**3 - 27*f**2 + 7*f + 21. What is the remainder when b(27) is divided by 71?
68
Suppose -39*b = -42*b + 606. What is the remainder when b is divided by 23?
18
Suppose -5*u + u + 135 = 3*v, 25 = 5*v. Suppose 4*b - 8 = -k + 32, 3*b - u = 2*k. Calculate the remainder when b is divided by 7.
3
What is the remainder when (-1)/15 - 16168/(-645) is divided by 6?
1
Let j(l) = 66*l**2 + l + 2. Let v be j(-1). Let c = v - 28. What is the remainder when c is divided by 10?
9
Let v = 165 + -137. Calculate the remainder when 223 is divided by v.
27
What is the remainder when 80 is divided by 23/((-7)/((-98)/7))?
34
Let v(h) = h**3 + 5*h**2 - 3*h - 10. Let d be v(-5). Suppose 0 = -5*u - 20, -35 = -d*g + 5*u + 120. What is the remainder when 103 is divided by g?
22
Let r(x) be the second derivative of 7*x + 2*x**2 + 2*x**3 + 1/6*x**4 + 0. What is the remainder when r(-8) is divided by 13?
10
Let r = -63 + 25. Let y = -33 - r. What is the remainder when 8 is divided by y?
3
Let i(n) = 3*n + 12 + 6*n - 7*n + 2*n**2. What is the remainder when 18 is divided by i(0)?
6
Let i(v) be the second derivative of -v**5/20 + v**4/2 + v**3/3 - 7*v**2/2 + v. Suppose 8*s + 468 - 532 = 0. What is the remainder when i(5) is divided by s?
4
Let v(u) = -u**3 + u**2 + u + 1. Let q(p) = 4*p**3 - 10*p**2 - p - 2. Let y(s) = -q(s) - 3*v(s). What is the remainder when y(5) is divided by ((-8)/6 + 2)*15?
9
Suppose 0*g - 3*g - 45 = 0. Calculate the remainder when (-4)/10 + (-411)/g is divided by -9 - (12 + (11 - 37)).
2
Suppose z - 5*j = 63, 168 = 2*z - 5*j + 9*j. Let l = -32 + 55. Suppose l = s - 4. Calculate the remainder when z is divided by s.
24
Suppose -56 = -4*y - 2*z, -25*z = 2*y - 20*z - 44. Suppose 4 = -2*f - 2. Let m(c) = 3*c**2 + 2*c. What is the remainder when m(f) is divided by y?
9
Let u(t) = -1 - 6 - t + 13. Let m be u(6). What is the remainder when (-33)/(-2)*(m + 6) is divided by 17?
14
Let w(q) = 3 + 2*q - 7*q + 1 + 3. What is the remainder when w(-3) is divided by 12?
10
Let m(c) = c**3 + 13*c**2 + c + 16. Let h be m(-13). Suppose -h*l + 22 + 29 = 0. What is the remainder when l is divided by 4?
1
Suppose 6*k - 4 = 5*k. Suppose 90 = 3*v - v - k*t, 0 = -3*v + 5*t + 135. What is the remainder when v is divided by 24?
21
Let b = -318 - -340. Calculate the remainder when 108 is divided by b.
20
Suppose -2*m + 2*x + 9 = 3*m, 0 = 3*m + 5*x + 7. Suppose 270*w + 192 = 282*w. Calculate the remainder when 1/(1/31*m) is divided by w.
15
Let f(b) = 2*b**2 + 7*b + 7. Let r be f(-3). Suppose 0*c + 332 = r*p + 4*c, 68 = p - 4*c. What is the remainder when p is divided by 12?
8
Suppose -5*q - 4*u + 350 = u, -4*u = 0. Suppose -3*f + 21 = 2*c, 2*f - f - 85 = -5*c. What is the remainder when q is divided by c?
16
Suppose -6*t - 28 = -5*t. Let o(x) = 3*x**2 + 3*x - 3. Calculate the remainder when (t/(-42))/((-2)/6) + 43 is divided by o(2).
11
Let c = -699 + 721. Calculate the remainder when 38 is divided by c.
16
Let t = 70 + -35. Let n be ((-36)/21)/((-2)/t). Let v = n + -18. What is the remainder when 22 is divided by v?
10
Let g(n) = 23*n - 9. Let p = -3 + -3. Let t(w) = 8*w - 3. Let r(z) = p*g(z) + 17*t(z). Calculate the remaind