m = -33*m - k + 270. What is the remainder when 269 is divided by m?
2
Let c = -47 - -45. Let g(r) = -r**2 - r + 31. Let a be g(0). Calculate the remainder when 25 is divided by (-1)/c*(-3 + a).
11
Suppose 68*f = 71*f - 159. Calculate the remainder when 422 is divided by f.
51
Let n = 34 + -17. Suppose 3*w = 5*r + 2*w - 29, -5*w + 5 = 0. Calculate the remainder when n is divided by r.
5
Let i(f) = -f**3 + 11*f**2 - 2*f + 10. Let b be i(10). Suppose -4*k = -5*m + b, 4*k + 34 = m - 0*k. Calculate the remainder when 22 is divided by m.
8
Calculate the remainder when -69*(2/4 + 169/(-78)) is divided by 51.
13
Suppose -8*b = -478 - 338. What is the remainder when b is divided by 31?
9
Suppose 2*o - g + 98 = 0, -3*g + 123 = -2*o + 17. Let t = -38 - o. What is the remainder when t is divided by 4?
1
Let g(q) = -4*q**2 + 9*q + 29. Let a(u) = -u**2 + 2*u + 7. Let t(l) = -9*a(l) + 2*g(l). What is the remainder when 99 is divided by t(5)?
19
Suppose 234 = 2*h - h. Let k = h + -162. Let c(g) = g**3 + 41*g**2 - 197*g - 740. Calculate the remainder when k is divided by c(-45).
22
Suppose 4*o + 4*l = 56, 5*o - 3*l = -4*l + 78. Let q(s) = 58*s + 83. Calculate the remainder when q(1) is divided by o.
13
Suppose 35*a - 37*a = -34. Let d be (6/(-4))/((-2)/4). Suppose 103 = d*r - 35. What is the remainder when r is divided by a?
12
Suppose -89 - 51 = 5*c. Let j = c + 38. Suppose -m = -6*m + 30. Calculate the remainder when j is divided by m.
4
Let t(u) = 4*u + 47*u**3 - 22*u**3 - 24*u**3 + 7*u**2 + 7. Let o be t(-6). Let f = -2 + o. What is the remainder when f is divided by 4?
1
Suppose -2*h = -14 + 4. What is the remainder when (-3740)/(-204)*(-12)/(-10) is divided by h?
2
Let r = -821 + 909. Calculate the remainder when r is divided by 13.
10
Let m = 354 - 228. Suppose -5*s = -14*s + m. What is the remainder when 123 is divided by s?
11
Suppose 369 = 19*a - 315. Calculate the remainder when a is divided by 10.
6
Let z(s) = -23*s**3 - s**2 + 2*s. Let l be z(-2). Calculate the remainder when (-9)/6*l/(-12) is divided by 2 + 5*(4 + -2).
10
Suppose 0 = 5*y - 1192 - 143. Suppose 2*u = 5*n - y, 2*n + 14 = 2*u + 116. Let z(o) = -o**2 - 9*o - 6. Calculate the remainder when n is divided by z(-4).
13
Suppose 5*y + 0*y = 55. Suppose 2*b = -18 + 82. What is the remainder when b is divided by y?
10
Suppose 5*t + 162 = 5*x - 258, 5*t = -5. Calculate the remainder when x is divided by 22.
17
Suppose -z - 46 = -n, -z = 13*n - 11*n - 101. What is the remainder when 157 is divided by n?
10
What is the remainder when 216 is divided by (-30)/8*836/(-57)?
51
Suppose 6*n - n - 657 = -a, 4*a - 2513 = 3*n. What is the remainder when a is divided by 91?
86
Let x(p) = 3*p**2 - 5*p - 8. Let m be x(-4). Calculate the remainder when (-472)/(-6) + (-40)/m is divided by 20.
18
Let m be 8 + (2/(-3))/(2/6). Calculate the remainder when (-98)/(-4) - -1 - (-3)/m is divided by 10.
6
Suppose 0 = -4*u + 1648 - 1060. Calculate the remainder when u is divided by 37.
36
Suppose 0 = -11*t + 10 + 23. What is the remainder when 76 is divided by t?
1
Let s = 2204 - 2140. What is the remainder when s is divided by 11?
9
Let u(o) = 9*o**2 + 2*o - 6. Let v be u(-3). Let t = v - 62. What is the remainder when 15 is divided by t?
1
Calculate the remainder when 35 is divided by -4*(405/(-12))/15.
8
Suppose 0*l - 58 = 2*l. Let f = -6 - l. What is the remainder when 44 is divided by f?
21
Let w(o) = o**3 - 8*o**2 + 3*o - 1. Let z be w(6). Let s = z + 89. What is the remainder when 60 is divided by s?
26
Let f(o) = -13*o + 1. What is the remainder when (-5 - (-156)/4) + 4 is divided by f(-1)?
10
Let y = 19 + -10. Let s(q) = 4 + 17 + 1 - y - 6*q + q**2. What is the remainder when 38 is divided by s(6)?
12
Let k = -134 + 343. Calculate the remainder when k is divided by 3.
2
Let c(u) = -9 + 28 - 38*u - 2*u**2 + 21*u + u**2. What is the remainder when c(-15) is divided by 10?
9
Suppose -275 + 64 = -5*c - 3*l, -l = -5*c + 203. Suppose -4*s + 55 + 265 = 0. What is the remainder when s is divided by c?
39
Suppose -2 + 0 = 2*w, 2*a - 3 = -5*w. Let p(o) = 0 - a*o + 2 + 7*o. What is the remainder when 25 is divided by p(4)?
11
Suppose -819 = -41*j + 206. Let i be (14/(-4))/(1/2). Let b = i - -81. What is the remainder when b is divided by j?
24
Suppose j - m = 6, -5 - 4 = -2*j - m. Suppose 3*s + j*s = 136. What is the remainder when s is divided by 7?
3
Let v(t) = -36*t - 71. What is the remainder when v(-6) is divided by 54?
37
Let p(l) = l**3 - 3*l**2 - 3*l - 2. Let i(y) = -y**2 + 8*y - 6. Let k be i(6). Let z = k + -2. What is the remainder when p(z) is divided by 1?
0
What is the remainder when 27 is divided by -3*((-4)/(-6) + 2/(-2))?
0
Let g(a) = -a - 23. Let q be g(-19). Calculate the remainder when 1/q - 2715/(-60) is divided by 24.
21
Suppose -h + 27 = -10. What is the remainder when h is divided by 13?
11
Let h = 94 - 63. Let a = -101 - -108. What is the remainder when h is divided by 0/2 - (-1 - a)?
7
Suppose -22 - 10 = w. Calculate the remainder when 24/(-12)*(w + 0) is divided by 22.
20
Suppose 5*o = -266 + 1381. Calculate the remainder when o is divided by 62.
37
Suppose -61*t = -1435 - 273. What is the remainder when 306 is divided by t?
26
Suppose -13 - 32 = -3*f. What is the remainder when (-3 - -1)*522/(-12) is divided by f?
12
What is the remainder when 1/(-5) + 2981394/1370 is divided by 66?
64
Suppose -q - 54 = -2*x, 37 = 4*x - 5*q - 71. Calculate the remainder when 89 is divided by (3 - 2) + x + (3 - 1).
29
Let s(f) = -54*f**3 - 2*f**2 + 3*f. Let d(r) = 270*r**3 + 10*r**2 - 16*r. Let u(i) = -2*d(i) - 11*s(i). What is the remainder when u(1) is divided by 29?
26
Calculate the remainder when 440 is divided by (-14)/6*(-5 - (-7 + 23)).
48
Let s = -134 - -71. Let v = s + 153. What is the remainder when v is divided by 31?
28
Let u(s) = s**3 + 17*s**2 + 52*s + 27. What is the remainder when 42 is divided by u(-13)?
15
Let o = -22 + 26. Suppose -2*z - 96 = -o*k - 0*z, 10 = k - 4*z. What is the remainder when k is divided by 14?
12
Let i be 7*(1 - (-38)/14). Suppose 3*l - 28 = 3*a + i, -2*a + 62 = 5*l. Suppose l + 10 = 4*y. What is the remainder when y is divided by 3?
0
Let h = 750 - 715. Calculate the remainder when h is divided by 9.
8
Let g = -77 - -148. Let u(d) = 2*d**3 - 5*d**2 - 1. Let l be u(4). Let z = l - 29. Calculate the remainder when g is divided by z.
17
Suppose -4*j + 28 + 0 = 0. Suppose 0 = -2*t + j - 1. Suppose u + 4 = 3*m, -t*u - 2*m + 4*m + 9 = 0. What is the remainder when 19 is divided by u?
4
Let u(j) = j**3 + 9*j**2 + 17*j - 2. Calculate the remainder when 75 is divided by u(-5).
10
Let j = -6 - -20. Suppose -j - 2 = -4*r. Calculate the remainder when (-4)/(-2) - (-54 - -38) is divided by r.
2
Let z(p) = p**3 - 12*p**2 + 11*p + 16. Suppose -a + 5*a = -5*n + 36, 5*n - 32 = -3*a. What is the remainder when z(11) is divided by n?
0
Let m(i) = 9*i**2 + 8. What is the remainder when 172 is divided by m(-3)?
83
Let i(g) = -9*g - 21. Calculate the remainder when 253 is divided by i(-8).
49
Suppose -51 - 153 = 4*o. Calculate the remainder when 53 is divided by 2/(-6) + 0 + (-476)/o.
8
Suppose 0 = -i + 2*i - 108. Let n(u) = 27*u**2 + 4*u - 3. What is the remainder when i is divided by n(1)?
24
Suppose 4*z + 5*p - 3*p = 70, 0 = -4*z - 3*p + 67. Let x be 8/(-6)*(-27)/18. Suppose -30 = -d - x*d. What is the remainder when z is divided by d?
9
Suppose -39*i = -42*i + 72. Suppose 0 = -6*t + 464 - 38. What is the remainder when t is divided by i?
23
Suppose 0 = o - 5*g - 136, -2*o = 2*o + 2*g - 610. What is the remainder when o is divided by 80?
71
Let k be (-20)/15*(-36)/(-2). Let f be k/(-40) + (-4)/(-10). What is the remainder when -3*(-188)/12*f is divided by 24?
23
Let f(m) be the second derivative of 19*m**3/6 - 13*m. Let i = -8 - -9. Calculate the remainder when f(i) is divided by 5.
4
Let h(u) = 2*u - 3*u**3 - 3 - 2*u**2 + 23*u**3 + 0 - 3. What is the remainder when h(2) is divided by 38?
36
Let q(h) = 21*h - 5. Let r be q(1). Suppose -3*o = -7*o + r. Calculate the remainder when 19 is divided by o.
3
Suppose -111 = -4*h - 5*i - 55, -3*i = 5*h - 57. Let s(j) = j**3 + 4*j**2 - 2*j - 4. What is the remainder when h is divided by s(-4)?
1
Let w(m) = -6*m**2 + 5*m + 12. Let i(f) = -5*f**