
7
Calculate the remainder when 731 is divided by (10 + 4 + 1)*(1 + 0).
11
Let f(d) be the third derivative of -d**5/60 + d**4/12 + 71*d**3/6 + 2*d**2. What is the remainder when f(0) is divided by 18?
17
Let g(y) = -4*y + 90. Let m(h) = -7*h + 180. Let p be (-20)/(-4) + (-2)/1. Let o(r) = p*m(r) - 5*g(r). Calculate the remainder when o(0) is divided by 31.
28
Let w be 150/4*12/9. Suppose w = 5*x - 5. Calculate the remainder when x is divided by 5/4*(-1344)/(-280).
5
Suppose 11*w = -13*w + 3240. Calculate the remainder when w is divided by 19.
2
Let h(x) be the first derivative of -x**4/4 - 5*x**3 - 3*x**2/2 + 12*x - 7. What is the remainder when h(-15) is divided by 22?
13
Suppose 5*p + 122 = 2*t, -120 - 150 = -4*t - 3*p. What is the remainder when t is divided by 13?
1
Calculate the remainder when ((-3576)/(-4) + (-6 - -7))*1 is divided by 45.
40
Suppose -3*a + 2*a - 3*p = -32, 3*a + p - 96 = 0. Suppose -6*h = -4*h - 34. What is the remainder when a is divided by h?
15
Suppose f - d = -0*d + 18, f - 4*d - 30 = 0. Calculate the remainder when f is divided by 14.
0
Let r be (-7)/((-14)/(-92)) - (1 + 1). Let v = -2 - r. Calculate the remainder when v is divided by 24.
22
Let k(b) = 36*b - 317. What is the remainder when 627 is divided by k(11)?
74
Let c be 114 - (-1)/((-4)/4). Let o = c + -63. Suppose -25 - 43 = -4*u. Calculate the remainder when o is divided by u.
16
Suppose 0 = 2*m - 2*r - 150, 3*m - 7*m - 2*r = -306. Calculate the remainder when m is divided by (-15 - -16) + (13 - 1).
11
Let q(v) = v**3 + 7*v**2 - 7. Let l be q(-8). Let f = 106 + l. Calculate the remainder when f is divided by (-225)/(-10) + -10 - 2/4.
11
Let o(a) = -a**3 + 3*a + 4. Let k(c) = -c**2 - 4*c + 2. What is the remainder when o(-1) is divided by k(-4)?
0
Let t = 44 + -44. Suppose -r - 2*r = -g - 47, t = 2*r + 5*g - 54. What is the remainder when r is divided by 8?
1
Suppose 2*u = 2*w - 40, -2*w - 5*u + 84 = 9. Let k = w + 42. Calculate the remainder when k is divided by 35.
32
Suppose 1054 = 64*n - 30*n. Calculate the remainder when 1239 is divided by n.
30
Suppose 2*n - b = 185, -4*b + 485 = 5*n - 2*b. Suppose n - 752 = -9*f. What is the remainder when f is divided by 25?
23
Suppose 34*p = -p + 455. Let a = 6 + 56. What is the remainder when a is divided by p?
10
Let h(x) = 11*x**2 - x + 2. Let d be (0 + 1)*-1 + 3. What is the remainder when h(d) is divided by (120/45)/(13/78)?
12
Calculate the remainder when 59 - -4 - (2 - 3) is divided by 33.
31
Calculate the remainder when ((-48)/15)/(28/(-4060)) is divided by 31.
30
Let l be 30/(-4)*(-22)/33. Suppose 0 = -2*n + l + 3. Calculate the remainder when 1/(6/5 - 1) is divided by n.
1
Let z(f) = f**3 - 17*f**2 - f + 17. Let n be z(17). Suppose n = -6*v + 2*v + 20. Suppose -10 - 3 = -i. What is the remainder when i is divided by v?
3
Suppose 0 = g + 5*n - 131, -g + 2*n = -n - 123. Calculate the remainder when g is divided by 26.
22
Let u = 13 - -5. What is the remainder when (-2)/10*(-317 + -98) is divided by u?
11
What is the remainder when 2/6 + (-10255)/(-105) is divided by 44?
10
Let a be (-2 + (-35)/1)/1. Let j = 50 + a. What is the remainder when 88 is divided by j?
10
Let v(w) = -w**3 - 6*w**2 + 6*w + 5. Let k(i) = i**2 + 8*i - 3. Let p be k(-5). Let r = 11 + p. Calculate the remainder when 35 is divided by v(r).
11
Let t be (2/(-7) + 10/35)/1. Suppose t = -5*o + 5 + 30. Suppose c + 5 - 11 = r, 0 = -3*c - 2*r - 2. Calculate the remainder when o is divided by c.
1
Let b(m) = 6*m - 14. Let x be b(11). Let u = 69 - x. What is the remainder when 99 is divided by u?
14
Let s = 352 - 237. Let a = -73 + s. Calculate the remainder when a is divided by 22.
20
Let x = -239 + 264. What is the remainder when 46 is divided by x?
21
Let i = -30 + 12. Let y(z) = -z**3 - 17*z**2 + 18*z - 13. Let c be y(i). Calculate the remainder when 25 is divided by (9 - 9) + (1 - c).
11
Let a = 627 + -615. What is the remainder when 222 is divided by a?
6
Suppose 0 = 3*s + 28 + 2. Let p = 12 + s. Suppose p*q - 3*k - 338 = -3*q, 3*q = -4*k + 197. What is the remainder when q is divided by 17?
16
Suppose 6004 = 75*t - 37*t. What is the remainder when t is divided by 3?
2
Suppose -3*d = d - 564. Calculate the remainder when d is divided by ((-108)/(-16))/((-42)/24*(-6)/28).
15
Let y = 370 + -260. Calculate the remainder when y is divided by 13.
6
Let c(b) = b - 7. Let v be c(7). Let p(l) = -l**3 - l**2 + l + 10. Calculate the remainder when (-2 + -1)*27/(-3) is divided by p(v).
7
Suppose 0 = -69*r + 408 + 13875. What is the remainder when r is divided by 42?
39
Let z(k) = k**2 + 21*k - 9. Let o be z(-22). Suppose -3*f + o = -2*f. What is the remainder when f is divided by 1*-2 - 1*-9?
6
Let y(m) = 2*m**3 - 5*m**2 + 3*m - 2. Let p = 10 + -4. Calculate the remainder when 281/p + 15/90 is divided by y(3).
15
Suppose -2*c + 33 = c - 3*o, 0 = -2*c - 2*o + 14. Let z = -8 + c. Let u(k) = -k**3 - 14*k**2 + 32*k + 1. What is the remainder when z is divided by u(-16)?
0
Let v = 87 + 201. Suppose 0 = 4*t + 4*t - v. What is the remainder when 143 is divided by t?
35
Suppose 0 = r + 19*r - 160. Calculate the remainder when 286 is divided by r.
6
Let l(k) = 2*k**2 + 12*k - 77. What is the remainder when 954 is divided by l(-11)?
30
Let k(r) = -r**3 - 3*r**2 - 5*r + 3. Calculate the remainder when k(-5) is divided by ((-19)/(-5) - 3)*20.
14
Suppose -5*g + 2442 - 917 = 0. Suppose -4*m + n + g = 0, 52 + 19 = m + 5*n. Calculate the remainder when m is divided by (-2)/5 + 204/10.
16
Let o(u) = u**3 - 18*u**2 - 17*u - 15. Let s be o(19). Suppose -2*t + s = -71. What is the remainder when t is divided by 12?
11
Let s(i) = -3*i**3 + 27*i**2 - 2*i. Calculate the remainder when s(8) is divided by 35.
1
Let o = 660 + -643. Calculate the remainder when 287 is divided by o.
15
Let a = -1391 + 2510. What is the remainder when a is divided by 32?
31
Let f = 1485 - 1439. What is the remainder when 206 is divided by f?
22
Let d = 1412 + -1348. What is the remainder when 71 is divided by d?
7
Suppose 119 = 50*v - 43*v. Let p = -93 - -96. Calculate the remainder when v is divided by p.
2
Suppose 0 = 2*j - 4 - 6, -2*o - 153 = j. Let w = -49 - o. Suppose -p + w = p. What is the remainder when 42 is divided by p?
12
Suppose 24*q - 22*q + 60 = 0. Let k = q + 51. Calculate the remainder when 58 is divided by k.
16
Let t(o) = -27*o + 2. Suppose 5*v = 271 + 59. Suppose -h = -0*h - 5, v = 2*m + 2*h. Calculate the remainder when t(-4) is divided by m.
26
Suppose 177*c = 189*c - 1368. Calculate the remainder when c is divided by 2.
0
Let j(y) = y**3 - 4*y**2 - 10*y + 9. Let t(c) = c + 6. Let s be t(-5). Calculate the remainder when j(6) is divided by 21/2 - s/(-2).
10
Let r(k) = 5*k**2 - 43*k + 13. What is the remainder when r(11) is divided by (35/20)/(2/24)?
19
Let m = 22 + 40. Let f = 923 - 907. Calculate the remainder when m is divided by f.
14
Let g be 2*(11/2 + -2). Let n(x) = -x**3 + 7*x**2 + 6*x - 6. Calculate the remainder when n(g) is divided by -13*1/(3 + -4).
10
Suppose -5*s - 4*h + 22 = 0, h - 5 - 17 = -4*s. What is the remainder when 70 is divided by s?
4
Suppose 16 = 3*p - 2*p. Let w(b) = -60*b + 756. Calculate the remainder when w(12) is divided by p.
4
Let a = 15 + -14. Suppose -2*f + 2*u + 5 + a = 0, -11 = -3*f + 2*u. Suppose 3*o = w - 11, 5*o = -w + f*w - 30. What is the remainder when 14 is divided by w?
4
Suppose -80*x + 81*x = 64. Let d = 95 - x. What is the remainder when d is divided by 12?
7
Suppose 0*i = 2*i + 2*t - 24, t + 78 = 5*i. Calculate the remainder when i is divided by 13.
2
Let x = 43 - 40. Suppose 2*h = -2*u + u + 34, 0 = -x*h - 5*u + 37. Suppose -55 = 4*g - 9*g. Calculate the remainder when h is divided by g.
8
Let x = -3 - 8. Let q be x/(-3) + (-2)/(-6). Suppose 105 = q*i - 59. What is the remainder when i is divided by 11?
8
Suppose 4*s = -r + 122 + 868, -s = -5*r - 237. What is the remainder when s is divided by 48?
7
Let k = 248 - -38. Let p = 26 - 56. Calculate the remainder when k/10 - 12/p is divided by 10.
9
Let f = 66 + -65. What is the remainder when (5 - f) + (7 + -5 - -32) is divided by 14?
10
Let g(h) = -8*h**3 + h**2 - 2*h - 7. What is the remainder when 320 is divided by g(-2)?
60
Suppose -j - 8 = 2*d - 80, 3*j = -2*d + 76. Supp