38. Suppose -194 + 6 = 4*r + 2*f, 4*f = -2*r - 82. Let n = r - -57. Calculate the remainder when x is divided by n.
4
Suppose -108*n + 1532482 = -41*n + 591*n. What is the remainder when n is divided by 111?
109
Let i(o) = o**3 + 7*o**2 + 1. Suppose -9 = -6*l - 45. Let g be (-4)/l - 34/6. Calculate the remainder when i(g) is divided by 11.
7
Let l = 622 + -614. Suppose 0 = -4*x - l, 5*x = 4*t + 4*x - 98. What is the remainder when t is divided by 10?
4
Let v(b) be the second derivative of -b**5/20 + 8*b**4/3 - b**3/3 + 52*b**2 - 70*b - 2. Calculate the remainder when 149 is divided by v(32).
29
Let m(o) be the third derivative of -1/3*o**3 + 0*o + 1/30*o**5 + 1/20*o**6 - 20*o**2 + 0 + 0*o**4. What is the remainder when 8 is divided by m(1)?
2
Suppose -2*y = -2*n - 5*y - 84, 2*y = 4*n + 200. Let f(a) = a + 121. Let x(b) = 4*b**2 - b + 1. What is the remainder when f(n) is divided by x(2)?
13
Suppose 437*z = -36135 + 168109. Calculate the remainder when z is divided by 120.
62
Let o = -5481 - -5492. What is the remainder when 4592 is divided by o?
5
Suppose -9*m + 591 = 105. Calculate the remainder when 4*((-129)/10)/(m/(-45)) is divided by 8.
3
Let x = 240 + -126. Suppose -2*o - 2*s + 155 = o, 2*o - x = 4*s. Suppose v - 3*q - 31 = 0, 9 = v - q - 14. What is the remainder when o is divided by v?
15
Let p(d) = -200*d - 2710. Calculate the remainder when p(-14) is divided by 1/(80/76 + -1).
14
Suppose 3*l = n + 2050, -1571 = -5*l - 3*n + 1855. Calculate the remainder when l is divided by 35.
19
Suppose 6*c - 2264 = c + 2*m, 2*c - 4*m - 912 = 0. Suppose -5*f + 4*v + 413 = 0, 2*v + 106 = -4*f + c. Calculate the remainder when f is divided by 23.
16
Suppose -2*a = 17*y - 21*y + 252, 3*y - 191 = 2*a. What is the remainder when y is divided by 55?
6
Suppose -277 + 772 = 15*b. Calculate the remainder when 179 is divided by b.
14
Let q(a) = 17*a**2 - 123*a - 26. Suppose 5*u + 2*d + 38 = 171, 4*u + d - 107 = 0. Calculate the remainder when q(8) is divided by u.
24
Let d = -955 - -970. Calculate the remainder when 259 is divided by d.
4
Suppose -28*r - 225 = -33*r - v, -235 = -5*r + v. What is the remainder when r is divided by (-4)/(-18) - 490/(-63)?
6
Let f(j) = -10*j + 221. Suppose 16*o = 15*o + 22. Calculate the remainder when f(-4) is divided by o.
19
Let o = -9 - -14. Suppose -o*y + 3*j + 65 = 0, -4*y - 2*j = -43 - 9. What is the remainder when ((-21)/(189/(-102)))/((-6)/54*-3) is divided by y?
8
Let n(i) = -19*i - 5. Let j be n(-3). Let c = j + -50. Suppose 0 = b - o + 3*o - 13, 22 = c*b + 5*o. Calculate the remainder when 56 is divided by b.
14
Let g = 162 - 168. What is the remainder when g + 2 + 1 - -112 is divided by 28?
25
Suppose 268 + 32 = 4*v. Let z = -78 + v. Let t = 22 + z. Calculate the remainder when 54 is divided by t.
16
Suppose p - 852 = -10*u, -5*u + 157 + 700 = p. What is the remainder when p is divided by 79?
72
Suppose 3*b + 0*b + o - 5 = 0, 3*b - o = 13. Suppose c = b*q + 27, c - 68 = -c - q. Calculate the remainder when c is divided by 19722/1557 - (-22)/(-6).
6
Calculate the remainder when 1397 is divided by (-3496)/(-10) - 4 - (-3)/(-5).
17
Let u(x) = -2*x**3 + 3*x**2 + 114*x + 330. What is the remainder when 2068 is divided by u(-3)?
67
Suppose 3*a - 5*n - 49 = 0, -4*a - 4*n = 45 - 57. Calculate the remainder when 583 is divided by a.
7
Calculate the remainder when (16 + (11 - 15))/(6/40) is divided by 45.
35
Let p = 6261 - 4689. Calculate the remainder when p is divided by 144.
132
Suppose 2*p + 2*y = 30, -p - 2*p - 5*y = -37. Suppose -p = -b - 9. Calculate the remainder when 26 is divided by b.
6
Let t(o) = -o**2 + 40*o + 2080. What is the remainder when 351 is divided by t(69)?
35
Suppose -4*z = -4*c - 524, -187 = -3*z + 2*c + 208. Calculate the remainder when 294 is divided by z.
28
Let r = -188 + 270. Let h = 97 - r. Suppose -4*o - h + 79 = 0. What is the remainder when 29 is divided by o?
13
What is the remainder when (189/(-6) + -1)/(2/(-4)) is divided by 12*27/(-162) - 74/(-2)?
30
Let f(i) = i**2 + 26*i - 73. Let y be f(-32). Suppose 11*j = y + 332. Suppose 2*t = 4*t - 24. Calculate the remainder when j is divided by t.
5
Suppose 8*f - 41*f + 5550 = -8*f. What is the remainder when f is divided by 78?
66
Suppose -3*c = 2*c - 25. Suppose 0 = v + 4, 2*n + 4 = -c*v + 272. Calculate the remainder when n is divided by 21.
18
Let u(p) = -4*p**2 - 81*p - 17. What is the remainder when u(-12) is divided by 99?
82
Suppose 4*x - 14 = -2*a, -4*x + 25 = 3*a - 0*x. Suppose a*z - 19 = 10*z. Let b(n) = -11*n - 11. Calculate the remainder when b(-6) is divided by z.
17
Suppose 38*n = 32*n. Calculate the remainder when 146 is divided by 32 - ((-3 - n)/(-1) - -2).
11
Suppose q + 39 = 117. Let n(r) = -r**3 - 13*r**2 - 21*r - 422. What is the remainder when q is divided by n(-14)?
10
Let d(b) = 61*b - 55. What is the remainder when 191 is divided by d(1)?
5
Let b = -1560 - -1568. Calculate the remainder when 605 is divided by b.
5
Suppose -3*j - 5*k = -2969, 109*j + 3920 = 113*j - 3*k. What is the remainder when j is divided by 77?
59
Suppose 42*r - 123*r - 31*r = -30240. What is the remainder when r is divided by 171?
99
Let m(r) = -1158*r + 5795. Let o(g) = 6*g**2. Calculate the remainder when o(1) is divided by m(5).
1
What is the remainder when 3*(48/8 + ((-10460)/(-6) - 3)) is divided by 7?
3
Let v(r) = 192*r + 2180. Calculate the remainder when 972 is divided by v(-11).
20
Suppose -9*p + 76 = -5*p. Let i(l) = -l**2 + 4*l - 1. Let v be i(3). What is the remainder when -4 + 15/v*8 is divided by p?
18
Suppose m + 3*n + 5 = 0, 3*m - 3*n - 66 = -21. Suppose m*d = -102 + 462. Calculate the remainder when 143 is divided by d.
35
Suppose y - 177 = -j - 9, 3*j = -y + 172. What is the remainder when y is divided by (-48052)/(-820) + (-6)/10*(8 + -7)?
50
Let m(t) = 3*t**2 + 93*t - 173. Calculate the remainder when m(-35) is divided by 69.
40
Suppose -4*c + 1166 = 2*p, -525 + 2316 = 3*p - 15*c. What is the remainder when p is divided by 326?
261
Suppose s + n = 765 + 1136, -4*s + 7590 = -3*n. What is the remainder when s is divided by 16?
11
Let g be 35 + -1 + (-2 - (-2 - 2)). Suppose z + 4*s - 47 = g, 2*z - 216 = 2*s. What is the remainder when z is divided by 26?
25
Let x(z) = z + 1. Suppose 5*n - 5*a = 55, -95 = -5*n - 4*a - a. Suppose -w - 2*j = -14, 0 = 3*w + 4*j - n - 31. What is the remainder when w is divided by x(4)?
3
Suppose -5*v - 4*i = -2*i - 4276, -5*v + 3*i = -4261. Suppose 5*p - v = 1536. Calculate the remainder when p is divided by 32.
30
Let v(x) = -122*x - 2093. What is the remainder when v(-18) is divided by 36?
31
Suppose -43*z + 10213 = 19*z + 45. Calculate the remainder when 974 is divided by z.
154
Let a(j) = 4*j + 65. Let m be a(-16). What is the remainder when (-12 - -113)*(m + 2 + -2) is divided by 19?
6
Let v(j) be the second derivative of 5*j**4/4 + 3*j**2 + 153*j. Calculate the remainder when 137 is divided by v(2).
5
Let t(m) = 18*m**2 - 3*m. Let s be 2916/10 - ((-36)/(-10))/6. Let f = -252 + s. What is the remainder when t(3) is divided by f?
36
Let r(q) = -q**2 - 12*q + 443. What is the remainder when 699 is divided by r(-26)?
67
Suppose -5*m + 1915 = -5*x, 8*m - 1897 = 3*m - x. Suppose -2*y + m = 3*y. Suppose -20*j + 18*j + y = 0. What is the remainder when 341 is divided by j?
37
Let n = -5672 - -5701. What is the remainder when 2386 is divided by n?
8
Suppose 0 = 4*h + 16, 4*j = -6*h + h + 240. Let g(c) = -j*c - 8*c**2 + 2*c**3 - c**3 - 10 + 67*c. Calculate the remainder when 9 is divided by g(8).
3
Let n = 2753 - 2654. What is the remainder when 588 is divided by n?
93
Let h(w) = -4*w**3 - 4*w**2 - 4*w + 23. Calculate the remainder when h(-7) is divided by 123.
120
Suppose 0 = 2*d - 2*j - 76, -4*d + 5232 = j + 5080. Let t = -3 - -8. Calculate the remainder when d is divided by t.
3
Let v(q) = q**3 + 11*q**2 - 2*q - 19. Suppose 0 = 13*p - 14*p - 11. Let a be v(p). What is the remainder when 3/3*(126 + a) is divided by 44?
41
Suppose 2*p = 3*u - 6, 0 = 3*u - p - 8 - 1. Let j(r) = -2*r + 58. Calculate the remainder when j(u) is divided by 9.
5
Suppose q - 75 = -h - 0*h, -4*h = q - 84. Suppose -207 + q = -5*g. What is the remainder when 34 is divided by g?
7
Let u be (3/(-2) - -1)/(90/(-540)). Suppose 4*n 