when f is divided by 8.
5
What is the remainder when 0*(70/7)/70 - -1742 is divided by 109?
107
Let q = -185 + 188. Suppose -q*g + 77 = -n, -g + 11 = -6*n + 2*n. What is the remainder when 133 is divided by g?
25
Let j(c) = 110*c - 1404. Let z be j(10). Let x(i) = 470*i**2 + i. Let w be x(1). Let d = w + z. Calculate the remainder when d is divided by 17.
14
Let z = -87 - -41. Let t = 86 + z. Let k = -921 - -997. Calculate the remainder when k is divided by t.
36
Let x(i) = -142 - 154 - 16*i + 258. Calculate the remainder when 88 is divided by x(-3).
8
Suppose 5*f + c = 4*c + 99, 5*f - 2*c = 101. Let v = 24191 + -24112. What is the remainder when v is divided by f?
16
Let j(f) = 135*f + 832. What is the remainder when j(18) is divided by 136?
134
Suppose -4365 = 31*c - 128*c. Suppose 4*k = 48 + 20. Calculate the remainder when c is divided by k.
11
Let s(q) = q**2 + 24*q + 107. Let m be s(-6). What is the remainder when (m - (6 + -77)) + -5 is divided by 24?
17
Let m = -1 - 1. Let r(y) = -2*y**2 - 4*y - 3. Let x be r(m). Calculate the remainder when 43 is divided by -2*x/6 + 21.
21
Let i(g) = g**3 + 15*g**2 - 94*g - 1394. Suppose -2*x = 4 - 52. Calculate the remainder when i(-12) is divided by x.
22
Suppose -88 = 2405*l - 2406*l. Calculate the remainder when l is divided by 25.
13
Let i(t) = -1087*t - 6293. Calculate the remainder when 264 is divided by i(-6).
35
Let y(o) = o**3 + 16*o**2 + 24*o + 5. Suppose 2*x + 28 = -3*j - 6, -5*j = 3*x + 52. Let v(b) = -7*b + 2. What is the remainder when y(x) is divided by v(-2)?
13
Suppose 4*f = 12, -2*i = 2*i + f - 1659. Suppose 102*v + i = 111*v. Calculate the remainder when v is divided by 25.
21
Let q = -33 + 48. Let t(d) = 3*d + 31. Let p(c) = -c**2 - 10*c + 23. Let h be p(-12). Calculate the remainder when t(h) is divided by q.
13
Let g(b) = -21*b + 3. Let j be g(2). Let a = j + 110. Suppose 469*n - 21 = -3*q + 465*n, 5*n = -30. What is the remainder when a is divided by q?
11
Suppose -1342 - 1998 = -10*p. Calculate the remainder when p is divided by 145.
44
Suppose 16*v = 18*v. Suppose a + a - 3*n - 1119 = v, -3*n + 1656 = 3*a. Let c = a - 358. What is the remainder when c is divided by 33?
32
Suppose -2*q + 1 = 19. Let w be (48/(-27))/(-8) + 2/q. Let i = w + 7. What is the remainder when 25 is divided by i?
4
Let x(k) = 3*k**2 + 108*k + 486. Let b = -66 - -147. Calculate the remainder when b is divided by x(-5).
18
Suppose 4*k - 55*m = -56*m + 843, 5*k = -5*m + 1065. Calculate the remainder when k is divided by -1 - (-44)/((-3)/(-3)).
38
Let t = -22 - -43. What is the remainder when (-6 + (-7)/((-168)/(-102)))*-4 is divided by t?
20
Let u(v) = 21*v**2 + 74*v - 373. Calculate the remainder when u(5) is divided by 177.
168
Suppose -2*f + 3*f = 4. Let z be (-2)/(210/(-52) + f). Suppose -4*k + z = -32. What is the remainder when k is divided by 12?
9
Suppose 4*v - 240 = 2*n, 240 = 4*v - 18*n + 19*n. What is the remainder when 7677 is divided by v?
57
Let l(c) = -133*c**2 + 6*c + 6. Let k be l(-1). Let i = k - -135. Calculate the remainder when 11 is divided by (-3 + (-75)/(-3))/i.
0
Suppose 79*k - 163 = -5. What is the remainder when 2 is divided by k?
0
Let m(j) = 3*j**3 - 2*j - 4. Let v be m(-3). Let d = v - -89. What is the remainder when 69 is divided by d?
9
Suppose -37*u + 578 + 4449 = 920. Calculate the remainder when 4659 is divided by u.
108
Suppose 0 = 1078*t - 1105*t + 1701. What is the remainder when 176 is divided by t?
50
Let l = -19 + 33. Suppose -19 + l = -5*i. Suppose -3*d - i = -61. Calculate the remainder when 78 is divided by d.
18
Let i be 3/(15/370) - -6. Let n = i + -62. Calculate the remainder when n is divided by 4.
2
Suppose -4*f + 4*g = 129 + 27, -96 = 2*f + 4*g. Calculate the remainder when 237 is divided by (21/f)/(1/(-60)).
27
Calculate the remainder when 788 is divided by (-6)/22 + (25230/66 - 25).
74
Suppose -2*u + 3066 = 2*n + u, 2*n - 2*u - 3036 = 0. Calculate the remainder when n is divided by 758.
8
Suppose -36*w + 41060 = -46240. Suppose -13*g + 38*g - w = 0. What is the remainder when g is divided by 29?
10
Suppose -15*g - 950 = -25*g. Suppose g - 235 = -10*j. What is the remainder when 40 is divided by j?
12
Let t = -986 + 1541. Suppose 2*a + t = 5*g - a, -g + a = -111. Let w = g + -104. What is the remainder when 19 is divided by w?
5
Let g = -369 + 389. Suppose -15*m + g*m = 325. Calculate the remainder when m is divided by 23.
19
Suppose 2*m - 5*m + 287 = a, 2*m = -a + 190. Calculate the remainder when m is divided by 90.
7
Let n = -3603 + 3618. What is the remainder when 7524 is divided by n?
9
Let o(m) be the third derivative of m**4/2 + 11*m**3/2 - 55*m**2. Calculate the remainder when o(15) is divided by 27.
24
Let t = 26221 + -25255. Calculate the remainder when t is divided by 242.
240
Let k be (-11)/(-33) - (34/(-6) + 1). Let o = k + 10. Suppose -o = -4*w + 9. What is the remainder when 10 is divided by w?
4
Let g = 67 - 74. What is the remainder when 58 is divided by (28/g - 9)*-1?
6
Suppose c - 437 = 2*n - 449, 0 = -5*n + c + 36. Suppose 0 = -3*z - 4*q + 50 + 23, -q = z - 25. What is the remainder when z is divided by n?
3
Let r = -258 - -261. Suppose -4*q + 375 = r*m, 9*m + 189 = 2*q + 10*m. Calculate the remainder when q is divided by 18.
6
Let a(x) = -x + 4. Let k = 80 + -76. Let q be (-5)/(-15)*(-11 - k). What is the remainder when 43 is divided by a(q)?
7
Let z = 4 - 1. Suppose -28*r = -12 - 72. Suppose p - 11 = -k, -5*k = -r*p - 7*k + 30. Calculate the remainder when p is divided by z.
2
Suppose 0 = 4*l - 3*q - q - 456, -3*l + 2*q = -344. Suppose a - l = -3*a. Calculate the remainder when a is divided by 4/(((-20)/(-8))/(6 - 1)).
5
What is the remainder when 1*123 - (4 + -1*(-12 + 12)) is divided by 26?
15
Calculate the remainder when 742 is divided by ((-60)/210)/((3/7518)/((-3)/12)).
26
Suppose -287 + 136 = -2*c - 115. Suppose -4*u = -f - 24 - 13, 4*f - 12 = -4*u. What is the remainder when c is divided by u?
2
Let i be (-326)/(-4) - (-2)/(-4). Suppose -5*h + i = -94. Calculate the remainder when (531 - 530) + 692/(-12)*-3 is divided by h.
34
Calculate the remainder when 655 is divided by (-5)/(-27 + 7) - (-4690)/56.
67
Let z(g) = -6*g**3 - g**2 + 10*g - 4. Let d = 327 - 229. What is the remainder when d is divided by z(-2)?
18
Let v = -3898 - -4191. Calculate the remainder when v is divided by 50.
43
Suppose 4*j - 13*y - 1033 = -8*y, -3*j + 772 = -y. What is the remainder when 1046 is divided by j?
18
Suppose 2*c - 175 = -5*z, 5*c - c = -z + 35. Suppose -4*a = h - 272, -3*h = -6*h. Suppose -15*v = -16*v + a. What is the remainder when v is divided by z?
33
Suppose 15*i - 10252 = 8. Suppose 0 = -6*h + 24*h - i. What is the remainder when h is divided by 28?
10
Suppose -5*l = 4*s - 7 - 2, 0 = l + 3*s + 7. Let v(n) = -n**2 + n + 48. What is the remainder when v(0) is divided by l/(-1) + 22 + -1?
0
Let j be (-228)/399 - 2348/7. What is the remainder when 445 is divided by (32/(-96))/(2/j)?
53
Let f = -323 - -320. Let c = 83 - 58. Calculate the remainder when 42 + (180/(-6))/(-5) + f is divided by c.
20
Suppose s = -r - 780 + 898, 4*s + 2*r - 478 = 0. Let u = 76 - 3. Suppose -3*b + u = -50. Calculate the remainder when s is divided by b.
39
Suppose -4*q - 66 = -2*r, 4*r = -5*q + 71 + 100. What is the remainder when 10/65 + 1/((-26)/(-2934)) is divided by r?
35
Let z = -6955 - -6963. Calculate the remainder when 1026 is divided by z.
2
Let d(a) = 6*a**3 - 4*a**2 - 18*a + 32. Let n(m) = 18*m**3 - 11*m**2 - 53*m + 97. Let i(c) = -8*d(c) + 3*n(c). What is the remainder when i(3) is divided by 29?
27
Let k = -14 - -14. Suppose -22*r + 21*r + 6 = k. Calculate the remainder when 86 is divided by ((-3)/(-2))/((-18)/(-88))*r.
42
Suppose 23 = -2*y + 25, -n - 5*y = -111. Calculate the remainder when n is divided by 21.
1
Let a(t) = t + 12. Let q = 93 - 100. Let k be a(q). Calculate the remainder when 35 is divided by k + (4 - (0 - (-3 + 2))).
3
Suppose 0 = 62*i - 3327 - 2377. What is the remainder when 732 is divided by i?
88
Suppose 2*u - u = 26. Let w(t) = t**2 + 16*t + 75. What is the remainder when u is divided by w(-9)?
2
Suppose 2*f - 2*g = -3*f + 7, 0 = f + g. Let m(w) = 150*w - 18. Calculate the remainder when m(f) is divided by 7.
6
Let s be 0