he remainder when 484 is divided by (1/(-2))/(-4 - -3) - 37629/(-222)?
144
Suppose 0 = -2*k - 5*z - 93 + 346, 0 = k - 2*z - 149. Calculate the remainder when k is divided by 111.
28
Let s(g) = -1 + 5*g - 2*g + 3*g - 4. Let t = -3 + 16. What is the remainder when s(9) is divided by t?
10
Suppose 0 = -4*s - 211*r + 215*r + 764, 0 = -s - 4*r + 241. Calculate the remainder when s is divided by -2*23*(-3)/2.
63
Let d = -239 + -281. Let z = -485 - d. What is the remainder when 627 is divided by z?
32
Suppose -5*q + n + 222 = 0, 0 = -2*q + 10*n - 5*n + 98. Calculate the remainder when 349 is divided by q.
41
Suppose -28 = 4*c, a - 115 = 582*c - 578*c. What is the remainder when 431 is divided by a?
83
Let r(u) = -u**2 + 34*u + 309. What is the remainder when r(41) is divided by 17 - (0 - (-3 - -2))*-2?
3
Let l be (-4*(-3)/18)/(2/90). Suppose 47*d + l = 52*d. Suppose -20 = -11*j + d*j. What is the remainder when 9 is divided by j?
1
Suppose 2*o + 60 = 4*j + 5*o, -3*j + 5*o = -45. Let s = j - 7. Suppose 193 = s*y + 41. What is the remainder when 35 is divided by y?
16
Let g = -64 - -54. Let u be 9*(1 + g/(-6)). Suppose 4*j - u = -0*j. What is the remainder when j is divided by 4?
2
Let l be 2 - (12/(-6) - 11). Let p = 79 + l. What is the remainder when p is divided by 19?
18
Let u(o) = 5*o**3 + 30*o**2 - 23*o**2 + 6*o - 6*o**3 + 29. What is the remainder when 128 is divided by u(8)?
11
Let y(i) = -2*i**2 + 61*i - 235. Calculate the remainder when 328 is divided by y(25).
8
Let q(j) = 6*j - 62. Let h be q(12). Suppose 110 = 5*a - h*d + 15*d, 3*d + 3 = 0. What is the remainder when 136 is divided by a?
21
Let n = 4 - 1. Suppose -n*y + 2*y = -32. Calculate the remainder when (-1036)/(-111)*(-27)/(-4) is divided by y.
31
Let i = 1570 - 590. Calculate the remainder when i is divided by 52.
44
Suppose 0 = 3*g + s - 53, -4*g + 31*s - 28*s + 36 = 0. Calculate the remainder when 4315 is divided by g.
10
What is the remainder when 532 is divided by 53708/203 + 20/14?
0
What is the remainder when 152 is divided by (-160)/25*-5 - -3 - -7?
26
Suppose 172 = -2*c + 270. Calculate the remainder when 408 is divided by c.
16
Suppose 2*b - 198*r = -193*r + 27, -46 = -4*b + 2*r. Let u = -10 + 15. What is the remainder when b is divided by u?
1
Let s = -2676 - -2702. Calculate the remainder when 1429 is divided by s.
25
Let w = 998 - 550. Suppose -4*x = 12*x - w. What is the remainder when 105 is divided by x?
21
Let x = 147 + -129. Let c be 19/(-3) + (-12)/x. Let f = c + 56. What is the remainder when 144 is divided by f?
46
Let r be 272/14 + 6/(-14). Let i(z) = z**2 - z - 63. Calculate the remainder when i(r) is divided by 95.
89
Let i(v) = 60*v**3 - 20*v**2 + 26*v - 3. What is the remainder when 2969 is divided by i(1)?
8
Let y(m) = -2*m**3 + 11*m**2 + 158*m + 27. What is the remainder when y(11) is divided by 370?
64
Let p be (30/8)/(2/8). Let l = -2439 + 2446. Suppose -p*j + l*j = -1824. What is the remainder when j is divided by 33?
30
Let q(i) = i**3 - i**2 + i + 359. Calculate the remainder when q(0) is divided by -14 - (96/(2 + 10) - 7)*-74.
59
Let h = 38 + -13. What is the remainder when 88 is divided by 8/(-2) + h + -6?
13
Let j(f) be the second derivative of f**4/12 + 11*f**3/3 + 24*f**2 + 14*f + 2. Calculate the remainder when j(-21) is divided by 8.
3
Let v(n) = -n**3 - 14*n**2 - 57*n - 207. Calculate the remainder when 309 is divided by v(-11).
24
Let n = 20960 + -19569. Calculate the remainder when n is divided by 6.
5
Let r = 70 - -17. Let t = -79 + r. Suppose 3*v = -3*m + 30, -v + 3*m + 2*m - t = 0. What is the remainder when 24 is divided by v?
3
Suppose 6*c = -27*c + 66. Suppose -2*u + u - y = -5, -2*u - 4*y = -c. What is the remainder when 35 is divided by u?
8
Calculate the remainder when ((-9639)/(-135))/((-27)/(-990)) is divided by 3.
2
What is the remainder when ((-1240)/(-6))/(165/495) is divided by 193?
41
Let h = 334 + -238. Suppose 366*d - 360*d = h. What is the remainder when 47 is divided by d?
15
Suppose -73*z = -167*z + 66*z + 5460. What is the remainder when z is divided by 81?
33
Suppose -14*n + 31269 = 30793. What is the remainder when 341 is divided by n?
1
Let k = -428 + 512. Suppose -3*i = -9, i - k = -4*l + l. Let z(r) = r**3 + r + 105. Calculate the remainder when z(0) is divided by l.
24
Suppose -5*i - 4*j - 371 = 0, -4*i = -2*j + 305 - 3. Let o = i - -85. What is the remainder when 21 is divided by o?
1
Let d(r) = -5*r + 345. What is the remainder when d(20) is divided by 128?
117
What is the remainder when 57/(-5)*675/(-81) is divided by 11?
7
Let h(g) = -g**3 - 7*g**2 - 9*g - 8. Let o(i) = -10*i - 91. Calculate the remainder when o(-11) is divided by h(-6).
9
Let x = -131 + 172. Calculate the remainder when x is divided by 11 + (-38)/(-9) + (-6)/27.
11
Let z(q) = 56*q**3 + 2*q**2 - 7*q + 3 + 23*q**3 + 3. Calculate the remainder when z(1) is divided by 6.
2
Suppose 0 = -9*f - 2 + 56. Suppose -44 - 154 = -f*n. Calculate the remainder when 96 is divided by n.
30
Let a(q) = -2*q**3 - 9*q**2 - 17*q + 434. Calculate the remainder when a(-21) is divided by 15.
14
Suppose 2616 = 5*l + 4*r, 2064 = 4*l + 6*r - 10*r. Suppose 3*v = 23*v - l. Suppose 5*p - 3*a = p + 412, 2*a = 0. What is the remainder when p is divided by v?
25
Let b = -15559 - -15660. What is the remainder when 2619 is divided by b?
94
Suppose 3*l = -5*p + 8*l + 30, -5*l = -4*p + 26. Suppose -4*w = p*w - 1360. What is the remainder when w is divided by 29?
25
Let x = 174 + -95. Suppose 128 = 83*r - x*r. Let u(t) = 6*t**3 - 4*t**2 + t - 4. What is the remainder when u(3) is divided by r?
29
Let y(h) = 71 - 51*h + 84*h - 63*h. Suppose -75 = a - 4*a. What is the remainder when y(0) is divided by a?
21
Let d(a) = -33*a - 144. Let g be d(-5). Suppose 158 = g*y - 1501. What is the remainder when y is divided by 20?
19
Suppose 2*j + 104 = 2*f + 334, -j - 3*f = -87. Calculate the remainder when j is divided by 25.
8
Let o = -4322 + 4337. What is the remainder when 2953 is divided by o?
13
Let i(m) = -3*m**2 + 214*m - 953. Calculate the remainder when i(65) is divided by 5.
2
Suppose 0*s - 4*s - 97 = -5*i, 2*s + i + 31 = 0. What is the remainder when 59 is divided by (-50)/(s/27*3)?
9
Suppose 96*a - 36 = 87*a. What is the remainder when 75 - (-6)/a*(-100)/75 is divided by 19?
16
Let s be -54 - (-3 + -1 - -2). What is the remainder when (s/3)/(-1 - 10/(-30)) is divided by 12?
2
Let i be 2/5 + (3168/(-30))/(-6). What is the remainder when (27/i)/(12/16) is divided by 2?
0
What is the remainder when (-192)/32 + 6043 + -2 + 3 is divided by 40?
38
Suppose 6184 = -13*g + 7055. Calculate the remainder when 370 is divided by g.
35
Let q(c) = -c**3 - 3*c**2 - 53*c - 6. Let p be q(-7). Let g = 1372 - p. Calculate the remainder when g is divided by 37.
34
Let z = 44 - 8. Suppose 0*w + 2*w - 5*f - 30 = 0, -40 = -3*w + 5*f. Suppose 0 = 4*o - r - 275, 3*r + w = 25. Calculate the remainder when o is divided by z.
34
Suppose j = 4*a - a - 32, -3 = -3*j. Suppose -5*b + 18 = -a*b. Calculate the remainder when (2 - b)/(-4 - 148/(-36)) is divided by 24.
21
Suppose -5*v = -2*p - 1825, 6*v - 8*v + 759 = 5*p. Let r = 378 - v. What is the remainder when 28 is divided by r?
6
Let j = -7 - -35. Let d = 308 - 97. Suppose 0 = -7*h + 531 + d. What is the remainder when h is divided by j?
22
Suppose 5*u - 46 = -2*g + 3*u, 53 = 3*g - 5*u. What is the remainder when 857 is divided by g?
17
Suppose -29*u = -5*u - 2400. What is the remainder when u is divided by ((-492)/(-8))/3 + (-1)/(-2)?
16
Let n(y) = 5*y - 2*y + 0*y - 3 + 2 + 3*y. Suppose 10 = 3*l + 2*l. What is the remainder when 21 is divided by n(l)?
10
Let n(a) = -423*a - 382. Calculate the remainder when n(-4) is divided by 38.
18
Calculate the remainder when 52 is divided by 142/4 - 4*2/(-16).
16
Let n(v) = 72*v**2 - 22*v + 45. Calculate the remainder when n(2) is divided by 98.
93
Let q = -515 - -184. Let w = q - -369. Calculate the remainder when 148 is divided by w.
34
Let v be ((-12)/14)/((-81)/(-21) - 4). Suppose -v*h - 44 = 76. What is the remainder when 20 is divided by (-214)/(-30) + h/150?
6
Let h(n) = -n**3 - 44*n**2 - 44*n + 3. Let a be h(-43). Suppose 2*u = -4*f + a, 0 = 6*u - 4*u - 5*f - 19. Calculate the remainder when 87 is divided by u