1.
10
Let r(s) = 2*s**3 - 42*s**2 + 4*s + 32. Calculate the remainder when r(21) is divided by 44.
28
Let u(y) = y**2 - 12*y - 107. What is the remainder when u(25) is divided by 13?
10
What is the remainder when 154 is divided by 39/((-1)/(4/(-4)))?
37
Suppose 105 = -3*b + 279. Calculate the remainder when 230 is divided by b.
56
Suppose 17*u - u - 272 = 0. Calculate the remainder when u is divided by 4.
1
Let f = -40 + 45. Suppose 0 = 4*k - 3*h - 1, 0 = -4*k + f*h + 1 - 2. What is the remainder when 1 is divided by k?
0
Let t(m) = 2*m**3 - 3*m**2 - 3*m + 1. Let k = 19 - 17. Suppose 3*j + k*d - 96 = -d, -3*j - d + 106 = 0. Calculate the remainder when j is divided by t(3).
18
Suppose 11*i - 23 - 615 = 0. What is the remainder when i is divided by 16?
10
Suppose 0*i - 106 = -3*i - 5*a, 4*a + 4 = 0. What is the remainder when 106 is divided by i?
32
Let u(g) = -9*g + 12. Let d be u(-8). Let i = d - 30. What is the remainder when i is divided by 19?
16
Let i = -27 - -77. Let f(b) = 96*b**2 + 2*b - 1. Calculate the remainder when f(1) is divided by i.
47
Suppose -15 = -x - s, 2*x = -2*x + 2*s + 60. Suppose 2*b + 2*h = 22, x = 5*h - 0*h. What is the remainder when 53 is divided by b?
5
Let r(b) be the third derivative of -b**5/60 + b**4/12 - 3*b**3/2 + 5*b**2. Let o be r(7). Let s = 27 - o. What is the remainder when s is divided by 24?
23
Suppose 159 = -10*d + 13*d. Let n = d + -23. Calculate the remainder when 87 is divided by n.
27
Let k = 80 - 41. What is the remainder when 4 is divided by ((-12)/18)/(2 - k/18)?
0
Let n(w) = w - 6. Let p be n(8). Suppose -6 = -t - t. Suppose t*o - p*f = 19, -2*f = -f - 4. What is the remainder when 17 is divided by o?
8
Let m(s) = -3*s - 9 + 0*s + 0*s + 5*s. What is the remainder when 26 is divided by m(8)?
5
Suppose -2*y - 3*y = -60. Let z be (123/(-4))/(21/(-28)). Let c = z - 19. Calculate the remainder when c is divided by y.
10
Let c(u) be the first derivative of -u**4/4 + 4*u**3 + 9*u**2 - 21*u - 28. What is the remainder when c(13) is divided by 15?
14
Suppose 49*z = 44*z + 325. What is the remainder when 129 is divided by z?
64
What is the remainder when (-3 + 1)*329/(-14) is divided by 8?
7
Suppose -2*v + 3*v = 52. Calculate the remainder when v is divided by (11 - (-648)/(-56))/((-2)/63).
16
Suppose -r - 14 = 21. Let o = r - -27. Calculate the remainder when 66 is divided by 0 - 4/o*34.
15
Let i = 63 + -61. Suppose h + 2*v = 149, h - i*v = 4 + 165. Calculate the remainder when h is divided by 32.
31
Let s = -173 - -219. What is the remainder when 366 is divided by s?
44
Let l = -88 - -174. Calculate the remainder when l is divided by 31.
24
Suppose -49 = 6*v + 35. What is the remainder when (0 + (-2 - v))*1 is divided by 5?
2
Suppose 5*y = 3*u - 162, 2*u = -3*u + 5*y + 260. What is the remainder when 487 is divided by u?
46
Calculate the remainder when 30/(-20)*4 + 17 is divided by 7.
4
Let o be 55 - (6/(-4) - (-3)/6). Suppose -5*k + 9 = -o. What is the remainder when 63 is divided by k?
11
Let k be (-18)/(-117) + 74/26. Let s(z) = 14*z + 7. What is the remainder when s(k) is divided by 18?
13
Let r(v) = 9*v + 253. Calculate the remainder when 38 is divided by r(-26).
0
Let j = 562 + -311. Calculate the remainder when j is divided by 28.
27
Let w = -54 - -113. Suppose -29*z + 5*v + 20 = -27*z, 5*z - 112 = -3*v. Calculate the remainder when w is divided by z.
19
Suppose 70 = -5*p + 300. Let h = -80 + 116. Suppose 5*q - 2*q - h = 0. Calculate the remainder when p is divided by q.
10
Let d = -91 + 162. What is the remainder when d is divided by (-220)/(-66)*36/5?
23
Suppose u = -3, 9 = 3*f - 2*u - 6. Suppose -s = f*s - 276. What is the remainder when s is divided by 18?
15
Let h be (-23 + 24)/((-1)/(-80)). Suppose h = -3*l + 353. What is the remainder when l is divided by 23?
22
Let m(c) = 7*c**2 + 9*c + 1. Calculate the remainder when m(-3) is divided by 6.
1
Let d = -2534 + 2600. Let p(s) = 34*s + 1. What is the remainder when d is divided by p(1)?
31
Let i(l) = l**3 - 6*l**2 + 7*l - 8. Let u be i(5). Suppose -u*r + 269 = 63. Calculate the remainder when r is divided by 26.
25
Let g(d) = 4*d - 2. Suppose v + 2*v + 3*o = 12, -o + 2 = 0. Let s = -21 + 41. What is the remainder when s is divided by g(v)?
2
Suppose -4*c - 5*a = -1009, -3*c + 3*a + 1252 = 2*c. Calculate the remainder when c is divided by 6.
5
Suppose 24*i + 10*i = 15436. Calculate the remainder when i is divided by 19.
17
Suppose 2*v + u = -0*v + 6, -5*u = 5*v - 10. Suppose 3*p + 5*d + 11 = d, -v*p - 2*d + 2 = 0. What is the remainder when 50 is divided by (-1 - -2) + 36/p?
11
Suppose 3*v + d - 45 = 0, 5*v = -26*d + 23*d + 71. What is the remainder when 38 is divided by v?
6
Suppose 3*v - 140 = g - 2*g, -42 = -v + 2*g. What is the remainder when 182 is divided by v?
44
Suppose 12*r = 350 + 22. Calculate the remainder when 277 is divided by r.
29
Let m be (-3)/(-6) - (-185)/(-10). Calculate the remainder when 519/7 - m/(-126) is divided by 19.
17
Suppose 2*j - 6*j = -84. Let o = -25 + 13. Let f(s) = -s**3 - 13*s**2 - 14*s + 17. What is the remainder when f(o) is divided by j?
20
Let c = -16 - -19. Suppose -4*u - c = z, 0*u - 4*u = 3*z - 15. Suppose -3*g = -0*g + z, 0 = -5*r + g + 358. Calculate the remainder when r is divided by 18.
17
Let g be 3/(0 - (-3)/92). Suppose -3*i + 19 = -g. Calculate the remainder when i is divided by 19.
18
Let g = -1540 + 1612. Calculate the remainder when 1292 is divided by g.
68
Let h(d) = d**2 + 3*d - 10. Calculate the remainder when 26 is divided by h(-7).
8
Calculate the remainder when 84 is divided by (-50)/6*((-72)/10)/4.
9
Let b(u) be the second derivative of 23*u**5/20 - u**4/3 + u**2 + 9*u. What is the remainder when b(2) is divided by 43?
41
Calculate the remainder when 44 is divided by (-3)/(-11) - (-5536)/352.
12
Let t be 267 + -13 - 4/(-2). Suppose 2*n + 2 = -5*p + 6, -5*p + 11 = 3*n. What is the remainder when (4/(-8))/((-4)/t) is divided by n?
4
Suppose 0 = 3*s + q - 48, 2*s + 3*q - 32 = q. What is the remainder when 71 is divided by s?
7
Let v(j) = 5*j**2 + 5*j**2 - 11 - j**3 + 3*j**2 - 8*j - 3*j**2. Let x be v(9). Calculate the remainder when 46 is divided by x/(-2)*12*1.
10
Let w(j) = j**3 + 50*j**2 - 169*j + 81. Calculate the remainder when w(-53) is divided by 36.
35
Let h be 44/(-66) - (-16)/(-3). Calculate the remainder when 79 is divided by h/(-2*12/64).
15
Let f = 911 + -651. What is the remainder when 92 is divided by f/14 - 12/(-28)?
16
Calculate the remainder when 10 is divided by 4/14*(0 - -14).
2
Suppose -6*i + 2898 = 2376. What is the remainder when i is divided by 8?
7
Let b be (4/(-7))/(2/(-7)). Let i(t) = 17*t**2 - 2*t + 3. What is the remainder when i(b) is divided by 34*(2/(-4))/(-1)?
16
Suppose -n - 18 = -2*n. What is the remainder when 283 is divided by n?
13
Let t(h) = -h**2 + 7*h - 3. Let f be t(6). Suppose -o = 4*o + q - 10, 2*q + 19 = f*o. What is the remainder when 4/(-16) + 91/28 is divided by o?
0
Let f = 18 - -2. Suppose -2*r = -f - 42. Calculate the remainder when r is divided by 17.
14
Let d = 953 - -955. Suppose d = -5*m + 17*m. What is the remainder when m is divided by 54?
51
Suppose c + 4*q = 16 + 49, 5*c + q - 325 = 0. Calculate the remainder when c is divided by 15.
5
Suppose 3*z - 4 = -2*x, x + 4 = -z - x. Suppose 24 - 4 = 5*h. Suppose -h*t + 2*b = t - 71, -30 = -3*t - 3*b. What is the remainder when t is divided by z?
1
Let z(p) be the second derivative of p**4/12 - p**3/6 - 2*p**2 - 2*p. Calculate the remainder when z(-5) is divided by 10.
6
Let b = -324 - -354. What is the remainder when b is divided by 7?
2
Let w be (-475)/(-19)*6/10. What is the remainder when 5 is divided by 14/3 + (-1)/w*-5?
0
Let w(y) = 2*y**2 + 29*y + 12. What is the remainder when 236 is divided by w(-16)?
56
Let s = 17 + -11. Let o = s + 43. Suppose -17 = 4*n - 5*n. What is the remainder when o is divided by n?
15
Suppose -3*u = y + 137, -5*y = -2*u - 39 - 24. Let h = u - -61. What is the remainder when h is divided by 8?
1
Suppose -3*j + 7*j = 2*o + 88, 0 = 5*j - o - 104. Let w be (2 + -4)/(-5 + 3). Let t = 36 + w. Calculate the remainder when t is divided by j.
17
Calculate the remainder when (2/4)/(4/384) is divided by 1/4 + 43/4.
4
Let c(s) = -14*s + 1. Let u be c(-1). Le