by n.
78
Let g be 18/(-81) - (-60)/27. What is the remainder when 42 is divided by 3 + g - (3 - 7)?
6
Let f be 97/9 - (-6)/27. Suppose f + 34 = l. Suppose -2*m + 49 = 4*p - l, -118 = -5*p - 2*m. Calculate the remainder when 117 is divided by p.
21
Let u(k) = -3*k + 13. Let c(o) = 10*o - 398. Calculate the remainder when c(46) is divided by u(-3).
18
Let r(t) = -8*t**3 - 35*t**2 - 66*t - 6. What is the remainder when r(-8) is divided by 119?
117
Let b be 104/(-12)*(0 + 81/(-2)). Suppose 17*h - 4*h - b = 0. What is the remainder when h is divided by 5?
2
What is the remainder when 601 is divided by (119/(-476))/((-1)/268)?
65
Suppose 5*i + 38 = 5*n - 67, 30 = n + 2*i. Suppose -9*v = -3*v - n. Suppose -4*r - v*z = -64, r + 50 = 4*r + 2*z. What is the remainder when r is divided by 12?
6
Suppose 3*a = -4*h - 45, 6*h - h = -a - 70. What is the remainder when 41 is divided by 26 + 24*(-5)/h?
7
Let i(p) = -29*p + 1488. Let h be i(45). Suppose l - 2 = 1. Suppose -5*j = 7*x - 2*x - 220, 4*x - l*j = h. What is the remainder when 88 is divided by x?
43
Let i = 4733 + -4689. What is the remainder when 656 is divided by i?
40
Suppose -7*w + 4*b - 1539 = -8587, -4*w + 3*b = -4031. Calculate the remainder when w is divided by 8.
4
What is the remainder when 416 is divided by (3 - -33)*168/54?
80
Let h(q) = -q**3 + 6*q**2 - 6*q + 2. Let c be h(4). Let v be ((-16)/6)/(c/(-15)). Calculate the remainder when 79 is divided by (-2)/(6 - v) - (-14 + -3).
15
Let j(m) = 3*m. Let a be (-6 + 4)*855/(-6). Suppose 191 = -8*f + 12*f + 5*q, 5*f - 3*q = a. What is the remainder when f is divided by j(5)?
9
Let t(u) = 210*u**3 - 8*u**2 + 14*u - 7. What is the remainder when t(1) is divided by 21?
20
Suppose 2*j = 4*o - j - 1889, 3*o - 4*j = 1408. Suppose 5*s + o = 661. Calculate the remainder when s is divided by 15.
7
Let o(m) = -77*m**3 + 7*m**2 + 8*m + 2. What is the remainder when 933 is divided by o(-1)?
75
Suppose 97 - 362 = 5*n + 5*j, 3*n + 4*j = -158. Let d = n - -74. Suppose 24*k = 20*k + d. Calculate the remainder when 12 is divided by k.
2
Let v = 3835 + -3713. Let f = 70 - 39. Calculate the remainder when v is divided by f.
29
Let h(g) be the third derivative of g**5/30 - 5*g**4/12 + g**3/6 + 2*g**2. Calculate the remainder when -25*(-18)/(-90) + 89 is divided by h(7).
26
Suppose 7*r + 409 = -711. What is the remainder when (-5 - -9)/((-5)/r) is divided by 12?
8
Let j = 4353 + -2302. Let i = j + -1334. Suppose -i = -7*g + 95. What is the remainder when g is divided by 40?
36
Suppose -4*f + 3*b = -23, -35 = 5*f - 9*f - b. Let o = f + 10. Calculate the remainder when o is divided by 10.
8
Let g be 32/(-40) + (-12)/(-15). Suppose 9*w - 36 - 27 = g. Suppose -w*x + 6*x + 14 = 0. Calculate the remainder when 52 is divided by x.
10
Let u = 12786 + -12616. Calculate the remainder when u is divided by 62.
46
Calculate the remainder when 711 - 691 - 1*-1471 is divided by 105.
21
Suppose -3 + 70 = d - 3*v, 0 = -v + 1. Let o = -1 - -5. Suppose -5*j = -o*q - 86, 3*j - 2*q - 70 = -j. Calculate the remainder when d is divided by j.
16
Let t = -146 + 136. Let d = -1 + -8. What is the remainder when 63 is divided by (-338)/t + d/(-45)?
29
What is the remainder when 45/5 - (-77 + -943) is divided by 47?
42
Suppose -5*g - 4*d + 275 + 5 = 0, -125 = -2*g + d. Calculate the remainder when 160 is divided by g.
40
Let o be (11 - 15)*1/2 + 62. Suppose -4*p - p + 107 = 3*h, -4*h + 166 = 2*p. What is the remainder when h is divided by (32/180 - (-2)/9)*o?
20
Let m = 77 + -68. Suppose -4*l + 7 = -m. Suppose -20 - 16 = -l*x. Calculate the remainder when 16 is divided by x.
7
Let o = 1 + 1. Suppose 5*u = -3*x + o*u - 21, -2*x = 5*u + 17. Let r(j) = -j**3 - 5*j**2 + 4*j - 4. Calculate the remainder when 14 is divided by r(x).
6
Suppose -11 = 5*i - 0*i + 2*s, 4*i - 4*s - 8 = 0. What is the remainder when 83 - -24 - (1 + i - 0) is divided by 12/(-18) + ((-32)/3)/(-1)?
7
Suppose 3*h + 4*i - 38 = 0, -5*h + 4*i + 71 = 3*i. Let d(o) = -4*o**2 + 13*o + 11 - 9*o - 5*o - 6*o + o**3. Calculate the remainder when d(6) is divided by h.
13
Calculate the remainder when (-4 + (-486)/8)/((-5)/20) is divided by 2 - (2 - (4 + 5)).
7
Let u(n) = 13*n**3 + 7*n**2 - 37*n + 34. What is the remainder when 1187 is divided by u(2)?
83
Let x be 1731/(-12) - (55/20 + -3). Let u = x - -215. Calculate the remainder when u is divided by 46.
25
Let x(v) = v + 18 + 5*v - 7*v + 3*v. Let p(m) = m - 13. Let l be p(6). Calculate the remainder when x(l) is divided by 2.
0
Suppose -3*i = -6*b + 480, 572*b = 576*b + 5*i - 348. What is the remainder when 875 is divided by b?
55
Let t = 3142 - 3026. Calculate the remainder when 1274 is divided by t.
114
Let c = 184 - 70. Let f = -7 + 64. Suppose -h + 91 = 3*k, -5*k + 5*h + f + 68 = 0. What is the remainder when c is divided by k?
27
Let t(h) = -3*h**3 - 35*h**2 - 105*h + 28. Calculate the remainder when t(-9) is divided by 124.
77
Let u be 1 - ((-3)/1 + 0). Suppose -230 = -4*m + 3*n, -128 = -2*m + u*n - 18. What is the remainder when 411 is divided by m?
57
Suppose -5*s + 11 = b - 16, 135 = 5*b + s. Let l(v) = 188*v + 662. Calculate the remainder when l(-3) is divided by b.
17
Suppose -3*j = -4*g + 68, 4*g + 20*j = 21*j + 60. Suppose -103 = g*a - 397. Calculate the remainder when a is divided by 14.
7
Suppose -5*l = -3*l - 56. Suppose 6*f = -f + l. Suppose 0*o - 166 = -4*o + 2*x, 0 = -f*o - 5*x + 187. Calculate the remainder when o is divided by 22.
21
Let k = -4379 + 4481. Calculate the remainder when 284 is divided by k.
80
Suppose -2*i + 272 = 6*w, 12*w + 234 = 17*w - 2*i. Calculate the remainder when 356 is divided by w.
34
Let r(o) = -o**3 + 37*o**2 + 77*o + 56. What is the remainder when 994 is divided by r(39)?
8
Suppose -37 = 4*y - 69. Let l be (-2)/(-2) - (3 - 4 - -2). Suppose -3*q = 3*x - 231, l*x + 239 = 3*q - x. Calculate the remainder when q is divided by y.
7
Suppose i - 3*q + 5 - 6 = 0, -4*q = 3*i - 42. Let f(s) = -8*s + 258. Calculate the remainder when f(i) is divided by 32.
18
What is the remainder when -7687*(53 + 22)/(-25) is divided by 124?
121
What is the remainder when 94 is divided by (10/20)/(1*3/438)?
21
Let q be 1/5 + 1/((-10)/(-48)). Suppose -2*l - 60 = -7*l + q*o, -3*l + o = -38. Calculate the remainder when 1013 is divided by l.
12
Let w(z) = z**2 - 4*z - 5. Let d be w(-4). Let q = d + 2. Suppose -q - 231 = -5*i. Calculate the remainder when i is divided by 9.
7
Let b = 8026 + -8016. Let f = 58 + -34. Calculate the remainder when (-4)/(f/(-255))*24/b is divided by 27.
21
Suppose 14*r - 9*r + 3*i = 74, 0 = 3*r - 3*i - 30. Calculate the remainder when 1543 is divided by r.
9
Suppose -g - 468 = -4*a, -270 = -3*a - g + 67. What is the remainder when a is divided by 40?
35
Let b(l) = 59*l - 2. Let p be b(-3). Suppose 0 = -a + 5*j - 340 + 70, -4*a + 2*j - 1008 = 0. Let v = p - a. What is the remainder when v is divided by 37?
34
Suppose -7*r - 10 = -2*c - 3*r, -4*r + 56 = 4*c. Let s(z) = -23*z + 4. Let u be s(-3). Let f = -53 + u. What is the remainder when f is divided by c?
9
Calculate the remainder when 1523 is divided by (-14)/(-140)*24*5.
11
Let j = 107 + -67. What is the remainder when 30/j + 38/(-8) - -81 is divided by 23?
8
Let f(j) = 1614*j - 173. What is the remainder when f(2) is divided by 235?
0
Calculate the remainder when (-8 + (3 - 1) - -6) + 2412 is divided by 26.
20
Suppose 0 = 8*z - 18*z + 3630. What is the remainder when z is divided by (-2070)/(-75) - 4/(-10)?
27
Let u(y) be the first derivative of 2*y**3/3 - 4*y**2 - 29*y + 1. Calculate the remainder when u(-4) is divided by 20.
15
Let m = -1045 - -1050. Suppose 14 = -0*x + 2*x. What is the remainder when x is divided by m?
2
Let a(n) be the third derivative of n**5/20 - 3*n**4/8 - 7*n**3/6 + n**2 - 11*n. What is the remainder when a(5) is divided by 7?
2
Let h(x) = -x**2 + 35*x + 14. Let m be h(19). Suppose 3*i + m - 75 = -3*b, -i + 5*b - 87 = 0. Calculate the remainder when (i/8)/(-1)*4 is divided by 14.
13
Let q = -107 + -73. Let a be (-1660)/q + (-4)/18. Suppose 3*z - 73 - 11 = -3*c, a = 3*c. What is the remainder when z is divided by 11?
3
Let k(j) = 479*j - 4286. Let f(q) = 10*q**2 - 3*q - 3. Calculate the remainder when f(-2) is divided by k(9).
18
Let s = -750 + 773. What is t