n 1009 is divided by i?
4
Let t = 1827 + -3131. What is the remainder when 317 is divided by 45/(-27) - t/12?
103
Let k = 7783 - 6609. What is the remainder when k is divided by 42?
40
Let m(c) = 54*c + 0 + 8*c**2 - 46*c + 2 - 52*c**3 - 2 - 1. Calculate the remainder when 152 is divided by m(-1).
50
Suppose 4*o - 187 = 31*y - 36*y, 94 = 2*o + 2*y. What is the remainder when 2734 is divided by o?
46
Let s(i) = -190*i**3 + 7*i + 1 - 91*i**3 - 4*i - i. Let y be s(-1). Suppose -2*d + y = 5*d. Calculate the remainder when 77 is divided by d.
37
Let n = -2715 + 3820. What is the remainder when n is divided by 79?
78
Suppose 14*b - 2*b - 5852 = -16*b. What is the remainder when 813 is divided by b?
186
Suppose 0 = 5*x - 5*v - 321 - 2174, 2*v = -2*x + 1002. What is the remainder when x is divided by 65?
45
Let m = -990419 - -990425. Suppose 6*g - 4*g = 8. What is the remainder when g*(-1 + (-30)/(-4)) is divided by m?
2
Let p be 4 + (-3)/1 - 3. Let j be 1*27/(-6)*p. Suppose -231 = -j*v - 2*v. What is the remainder when 185 is divided by v?
17
Let s = -17 + 41. Suppose d - s - 45 = 0. Let u = -12494 + 12518. What is the remainder when d is divided by u?
21
Let s(a) = 5*a - 12. Let u be s(11). Suppose u*d - 983 - 1898 = 0. Calculate the remainder when 734 is divided by d.
64
Let g(o) = 29*o - 8. Let j = 200 + 9. Calculate the remainder when j is divided by g(1).
20
Let z(l) = -4*l**2 - 229*l - 94. What is the remainder when z(-45) is divided by 17?
3
Let d = -618 - 106. Let m = d + 728. Calculate the remainder when 104 is divided by m.
0
Let b = -32 - -124. What is the remainder when ((-38010)/(-189) - -68) + ((-24)/(-27) - 0) is divided by b?
86
Let b(i) = 218*i**2 + 62*i + 59. Calculate the remainder when b(-1) is divided by 63.
26
Suppose -14*l = 2*l + 2*l - 7848. Calculate the remainder when l is divided by 96.
52
Suppose -c + 1 = 10, 3*c = -5*z + 503. Let d = 8 + 30. What is the remainder when z is divided by d?
30
Let j = 25676 - 25584. What is the remainder when 2563 is divided by j?
79
Let t be 34/(-10) + 16/40. Calculate the remainder when ((-828)/(-8))/t*-2 is divided by 24.
21
Suppose 2*w + 3 = 9. Let f be (0 + 0/w)/(-1). Suppose -17*u + 19*u - 102 = f. Calculate the remainder when u is divided by 13.
12
Let a(s) = -41*s + 397. What is the remainder when 265 is divided by a(9)?
13
Let f(x) = -3*x**3 - 188*x**2 + 56*x - 222. Calculate the remainder when f(-63) is divided by 23.
12
Let m(d) = 5*d**2 - 6 + 3*d + 3 + 0*d - d**3 - 2*d. What is the remainder when (-10)/(-12) + 14404/312 is divided by m(4)?
13
Suppose 13*f + 4045 - 22167 = 0. What is the remainder when f is divided by 9?
8
What is the remainder when (1650/(-9))/(1 - (-10)/(-6)) is divided by 83?
26
Let v = 3551 + -3222. Calculate the remainder when v is divided by 10.
9
Let s = -5581 + 5631. Calculate the remainder when 119 is divided by s.
19
Suppose 0 = -4*z + 42 - 30, 3*h = -5*z + 120. Let r(o) = -11*o**2 - 2*o - 1. Let b be r(-1). What is the remainder when (-1354)/b + 15/25 is divided by h?
31
Let r(p) = p**3 + 9*p**2 + 14*p - 16. Let v be r(-6). Let u = 5 + -9. What is the remainder when 14/v*-2*u is divided by 10?
4
Let j be 1170/(-4)*52/39. Calculate the remainder when j/4*68/(-51) is divided by 22.
20
Let u = 485 + -356. Let a = 135 - u. Suppose 4*p - 29 = 11. Calculate the remainder when p is divided by a.
4
Let k be 63/(-18) + 1/(-3 + 5). Suppose -4*d + 11 + 37 = 2*b, 5*b = -4*d + 132. Calculate the remainder when k/2 - (-4161)/38 is divided by b.
24
Suppose m + 6*j - j - 13 = 0, -5*m + 3*j = 19. What is the remainder when 96 is divided by 408/340*1/(m/(-15))?
6
Let l = 357 + -158. Calculate the remainder when 537 is divided by l.
139
Suppose 3*p + 49 = 4*b, -b + 9 = -5*p - 33. Let l(v) = -70*v**2 - v - 1. Let w be l(-1). What is the remainder when 61 is divided by 5*p/(w/(-8))*-4?
13
Suppose -33 + 173 = 2*h. Suppose -4*f = 4*a - 864, 483*a - 489*a + 1278 = 4*f. What is the remainder when a is divided by h?
67
Suppose -3*u = 3*d - 342, 3*d + 337 = 4*u - 119. Calculate the remainder when 450 is divided by u.
108
Let v(m) = -m**3 - 4*m**2 - 3*m - 19. What is the remainder when ((-14)/14)/((-1)/((-79)/(-1))) is divided by v(-5)?
16
Let c = 29038 - 29013. Calculate the remainder when 16649 is divided by c.
24
Suppose 6*s - 15245 = s. Suppose -3*h - 5*f = -2547 - 1979, 2*h - 3*f - s = 0. Calculate the remainder when h is divided by 69.
68
Let t be -5 + (-5 - -9 - 0) + 5. Suppose 413 = 4*p + 2*b - 95, 0 = p + t*b - 141. Calculate the remainder when p is divided by 22.
15
Suppose -1 = -s + 4*b + 3, 4*s + 5 = -5*b. Suppose -21*k + 18*k + 495 = s. Suppose -2 = p - 26. Calculate the remainder when k is divided by p.
21
Suppose -3*h - i + 176 = h, 5*i = -4*h + 176. Suppose 5*u - 3*q - 12 - 97 = 0, 2*u - 5*q - 55 = 0. What is the remainder when h is divided by u?
4
Let o = 480 + -287. Suppose 0 = -197*p + o*p. Suppose 4*j + 5*w = 69, p*j + j - 3*w + 4 = 0. Calculate the remainder when j is divided by 3.
2
Let b = 324 - 320. Suppose j = 3*i - 5, -b*j + 17 = -2*j + 3*i. Let r = 14 - 5. Calculate the remainder when r is divided by j.
1
Let k = -94 - -99. Let u(d) = k*d - 2*d**3 + 3 - 37*d**2 + 65*d**2 - 28*d**2. What is the remainder when 29 is divided by u(-2)?
2
Let o = -39033 - -39894. Calculate the remainder when o is divided by 178.
149
Suppose -8*p + 47*p - 4212 = 0. Calculate the remainder when p is divided by 32.
12
Suppose -54*o = -60*o + 12. Suppose w + 2*c + 18 = 79, -o*c - 53 = -w. Suppose 0 = 3*j - 6*j + w. What is the remainder when 72 is divided by j?
15
Let h(z) = 106*z**2 + 90*z + 348. What is the remainder when h(-13) is divided by 231?
229
Suppose -156*u + 160*u = 236. Suppose 14*f - 9*f - 80 = 0. What is the remainder when u is divided by f?
11
Let w(h) = -7*h**3 - 6*h**2 + 2*h + 26. Let o be w(5). Let x = 1067 + o. What is the remainder when 307 is divided by x?
73
Let q(j) = -4 + 2*j**2 + 3*j**2 + 5*j + 0*j**2 + 19*j. Suppose -13 + 81 = 4*m. Calculate the remainder when q(-6) is divided by m.
15
Suppose 102 = -4*s + 2282. Calculate the remainder when s is divided by 25.
20
Let f(v) = -13*v**3 + 3*v**2 + 3*v + 2. Let i be f(2). What is the remainder when i/(-2) + (-32)/8 is divided by 24?
14
Suppose 59*z - 2842 = 1721 - 610. What is the remainder when 2599 is divided by z?
53
Let s(q) = -5*q**3 + 8*q**2 + 9*q + 1. Let p be s(5). Let k = 434 + p. Calculate the remainder when k is divided by 20.
15
Let r(q) = 4*q**2 - 6*q + 2. Suppose -103331*u + 299 = -103308*u. Calculate the remainder when r(6) is divided by u.
6
Let k = -2691 - -2886. Calculate the remainder when 893 is divided by k.
113
Suppose -12*t + 32329 + 1754 = 9*t. Calculate the remainder when t is divided by 28.
27
Let b = -759 + 1125. Suppose b = 7*s - 5*s + 3*a, 0 = 4*s + 2*a - 716. What is the remainder when s is divided by 60?
57
Suppose 2*r + 2*m = 92, m - 18 + 64 = r. Suppose 5*q + 4*l = 94, -2*l = 3*q + 3*l - r. Calculate the remainder when q is divided by 8.
6
Let s = -46 - 87. What is the remainder when 531 is divided by 30*s/(-21)*(-2)/(-5)?
75
Suppose 5*l - 278 + 13 = 0. Suppose 0 = -55*i + 1820 + 12700. What is the remainder when i is divided by l?
52
Suppose -w - 2 = 4*j + 293, -2*j + 3*w - 151 = 0. Let m = j + 73. Calculate the remainder when 68 is divided by -3 + (19/m)/(2/(-4)).
33
Let u(h) = -h**3 + 3*h**2 + 4*h + 28. Let t be u(5). What is the remainder when (-10)/8*(-1 + -11) is divided by 84/14 + -3 + t + 8?
6
Let v(g) be the second derivative of g**4/4 + 13*g**3/6 - 6*g**2 + 2*g + 67. What is the remainder when 69 is divided by v(-6)?
15
Let c(w) = -w**3 + 8*w**2 - 7*w - 1. Let x = 15 - 9. Let h = -270 - -278. What is the remainder when c(x) is divided by h?
5
Calculate the remainder when 36 is divided by 31 + (2 - 10/3) + 80/(-30).
9
Suppose -16 = -r - 3*r. Let k(d) = 2*d + 5 + 0*d + 2*d**2 - 9*d. What is the remainder when 24 is divided by k(r)?
6
Suppose -2*o - 6*s + 407 = -581, 0 = 2*s - 6. What is the remainder when o is divided by 18?
17
Let f(y) = 7*y**2 + 72*y. Let t(n) = -159*n**3 + n**2 - 8*n - 8. What is the remainder when t(-1) is divided by f(-11)?
50
Let r(j) be the third derivative of -j**4/24 - 5*j**3/3 + 7*j**2. Let n be r(-22). Suppose 4*u - 32 = -n. What is the 