+ 5*m = -205, -3*z + 270 = 30*m - 25*m. Calculate the remainder when z is divided by 53.
42
Suppose 0 = -3*y - 0*w - 4*w + 13, 0 = w - 1. Let d be (-20 + 2)*3/y. Let c = d - -48. Calculate the remainder when c is divided by 17.
13
Let p(g) = -3*g**2 + 7*g + 40. Let z be p(-13). Let o = -341 - z. What is the remainder when o is divided by 44?
41
Let l(o) = -14*o + 32. Let q be l(-8). Suppose 91 = -143*r + q*r. Let m(j) = -j**3 - 4*j**2 + 10*j. What is the remainder when r is divided by m(-6)?
7
Let v = -355 - -441. Suppose -80*u = -v*u + 66. Calculate the remainder when 25 is divided by u.
3
Let b = 55 + -66. Let x = b - -21. Calculate the remainder when 39 is divided by x.
9
Suppose -4*f + 0*p - 2*p + 1516 = 0, -5*f + 2*p + 1886 = 0. Let c be f/18*(-6)/(-7). Suppose 560 = c*v - 11*v. Calculate the remainder when v is divided by 23.
11
Suppose -37*y - 53*y = -7560. Suppose o + 5*k + 4 - 24 = 0, -2*o = k - 85. What is the remainder when y is divided by o?
39
Let u = -21 - -19. Let b(s) = -s**2 - 28*s - 67. Calculate the remainder when b(-23) is divided by (u/(-4))/(8/400).
23
Let f = 70 + -67. Calculate the remainder when 1397 is divided by 1506/30 + f/(-15).
47
Let m(q) be the third derivative of q**5/60 + 5*q**4/24 + q**3/6 - 12*q**2. Let i be m(-7). What is the remainder when 89 is divided by (-440)/(-25) + 6/i?
17
Let d(j) = -4*j - 2. Suppose -2*l - 199 = -5*b, -5*l = -l - 51 - 21. What is the remainder when b is divided by d(-5)?
11
Let f(o) = o**3 + 35*o**2 + 116*o. Calculate the remainder when f(-31) is divided by 17.
10
Let w = -562 - -579. Suppose w*a - 250 = 209. Calculate the remainder when 102 is divided by a.
21
Let w = -148 + 201. Suppose 2*a + 5*j = w, 0 = -7*a + 11*a - j - 161. What is the remainder when a is divided by 14?
11
Calculate the remainder when (1605 - -24) + -3 + 10 is divided by 47.
38
Suppose 5*g - 8*k + 55 = -3*k, -2*k = -g - 15. What is the remainder when 78 is divided by 2 + (-30)/(-105) + (-19)/g?
3
Let m = 125 + -14. Suppose -205*d + 198*d + 266 = 0. Calculate the remainder when m is divided by d.
35
Let i = 3681 + -584. Suppose 0 = 29*w - 10*w - i. What is the remainder when w is divided by 52?
7
Suppose -y + 84 = -668*v + 666*v, 250 = 3*y - 5*v. What is the remainder when 140 is divided by y?
60
Calculate the remainder when 215 is divided by ((-46)/(-7))/(30/420).
31
Let g = 298 - 295. Let n(y) = -y**3 + 4*y**2 - y - 3. Let r be n(3). Suppose -r*i = -2*i - 9. Calculate the remainder when i is divided by g.
0
Let a be (0 - 1)/((-11)/(-41965)*-7). Suppose b + 3*m - 108 = 0, -a = -5*b - m - 61. Calculate the remainder when b is divided by 43.
10
Suppose -10*p + 40 = -0*p. Suppose -s - 4*y + 265 = 0, -296 = p*s + 3*y - 1304. Calculate the remainder when s is divided by 23.
19
Let k(o) = -3655*o + 157189. Let l(v) = 11*v. What is the remainder when l(6) is divided by k(43)?
18
Suppose -1682 = 231*l - 298*l + 1869. Calculate the remainder when 852 is divided by l.
4
Let d(m) = 2*m - 11. Let q be d(7). Suppose 2 = q*n - n. Calculate the remainder when 97 is divided by (-40)/(-14)*7*n.
17
Suppose 5*x = 4*n + x - 120, 2*n - 48 = -4*x. Suppose 987 = 5*p - 3*z, 2*z - 772 = 146*p - 150*p. What is the remainder when p is divided by n?
27
Let p(m) = -41*m + 408. Calculate the remainder when (-3)/(36/(-16))*273/2 is divided by p(9).
26
Suppose 3*y + 18 = y. Let j be (y + 0 + 0)*(-32)/6. Calculate the remainder when (6 - 6) + -2 + 2 + j is divided by 13.
9
Let q(a) = -23*a**3 + 2*a**2 + a + 2. Let m be q(-2). Suppose m = -2*p + 6*p. Let l = p + -27. What is the remainder when 36 is divided by l?
15
Suppose -a = -2*d + 12, -a + 20 = 5*d - 3*d. Calculate the remainder when 151 is divided by d/(32/132) + 5.
37
Suppose 14*m - 2 = 5*i + 10*m, 0 = 5*i - m - 7. Suppose i*s = -2*j + 6*s + 30, 20 = 5*s. What is the remainder when 106 is divided by j?
14
Let m(v) = -3*v + 5*v - 11*v**3 + 1 + 10*v**2 + 29*v**3 - 11*v**3 - 8*v**3. Calculate the remainder when 107 is divided by m(10).
2
Let j(g) = 6*g - 5*g - 13 - 4*g + 48. Suppose 0 = -4*s - 5*t + 231, 4*s - t = 4*t + 201. What is the remainder when s is divided by j(7)?
12
Let q = -11979 + 12082. Calculate the remainder when 2367 is divided by q.
101
Let y(q) = -3*q**2 + 9*q + 1. Let k be y(3). Suppose 26 = 5*u - 104. Calculate the remainder when u is divided by (-8 - 8)*(0 - k).
10
Suppose -c = 26 - 521. Let z(r) = r**3 + 10*r**2 - 12*r + 20. What is the remainder when c is divided by z(-11)?
30
Let c(r) = 2*r**2 + 203*r + 1062. What is the remainder when 122 is divided by c(-96)?
2
Suppose u - 8 = 4*u - 5*j, 2*j = 2*u. Suppose 7*c - 2*c - 3*s = 1872, -3*c = -u*s - 1132. What is the remainder when c is divided by 75?
72
Let d = 15171 + -15072. What is the remainder when 249 is divided by d?
51
Suppose 94 = 19*u - 1. Suppose -5 = -2*b - u*d, -4*d = -b - 18 + 53. What is the remainder when 59 is divided by b?
14
Let a(z) = 2*z + 3 - 4 + 5. Suppose -48*w + 2*w + 375 = 29*w. What is the remainder when a(5) is divided by w?
4
Let g(x) = -2*x**2 - 14*x + 61. Let c be g(-10). Calculate the remainder when 7 + 6/(-3) + (c - -30) is divided by 17.
2
Suppose 0 = -14*o - 2848 + 5214. What is the remainder when o is divided by 27 + -31 + 13 + 1?
9
Suppose -3*c = -5*d - 901, -146*c = -141*c - 2*d - 1546. What is the remainder when c is divided by 66?
48
Suppose 64 = -4*i + l + 2*l, -2*l = -5*i - 80. Calculate the remainder when 285 is divided by (-4)/32 - 1170/i.
66
Let t(f) = 51*f**3 + 52*f**2 + 47*f**2 + 5*f + 244*f**3 - 4 - 2*f - 98*f**2. What is the remainder when t(1) is divided by 8?
7
Suppose -15 = 5*i, 5*p + 2*i = 916 + 278. Calculate the remainder when 8 is divided by (90/p)/(1/16).
2
Calculate the remainder when 400 is divided by (-1 + -1)/(((-4)/(-6))/(1136/(-426))).
0
Let u = 11 - -78. Calculate the remainder when u is divided by 5/50 - 229*(-1)/10.
20
Suppose -37*l - 20*l = -5*l - 11752. Calculate the remainder when l is divided by 190.
36
Let v(n) = n**3 + 133*n**2 - 218*n - 755. Calculate the remainder when v(-134) is divided by 202.
199
Calculate the remainder when 585/936 + (-1187)/(-8) is divided by 44.
17
Let c = -3470 - -3696. Let v be (-3)/3 - (-6)/1. Suppose v*q + c = 7*q. What is the remainder when q is divided by 30?
23
Suppose -3*g + 1215 = 4*s, 5*s - 4*s - g = 295. Calculate the remainder when s is divided by 7.
6
Let k = 12 + 109. What is the remainder when k is divided by 68?
53
Suppose -301 + 985 = 5*o - m, o - m - 136 = 0. Suppose 2*l = -7*i + 2*i + o, -5*l - i + 331 = 0. What is the remainder when 128 is divided by l?
62
Let b(s) = -s**2 + 12*s + 125. Let l be b(18). What is the remainder when 629 is divided by ((-1)/((-10)/(-12)))/(l/(-1275))?
89
Let a be (-23)/3 - (-8)/12. Let h(c) = c**3 + 11*c**2 + 7*c - 10. Calculate the remainder when h(a) is divided by 33 - ((13 - -2) + -5).
22
Let n(i) = i**3 + 9*i**2 + 16*i + 9. Let a be n(-6). What is the remainder when 23 is divided by (-1*(-2)/(-3))/((-2)/a)?
2
What is the remainder when 4265 is divided by (8/32)/((-64)/(-12032))?
35
Suppose -217*h = -189*h - 3556. Calculate the remainder when h is divided by 8.
7
Let s(v) = 6*v - 84. Let t be s(14). Suppose t = 16*c - 579 - 525. Calculate the remainder when c is divided by 8.
5
Let v be (1/1 - 0)*(-126 - -5). Let n = 99 - v. What is the remainder when n is divided by 13?
12
Suppose 3*c - v - 289 = v, -5 = v. Let a = -90 + c. Suppose -5*z + a*h + 438 = 78, -z + 64 = h. What is the remainder when z is divided by 14?
13
Let a(s) = -8 + 6 + 22 - 29*s + 6. What is the remainder when a(-6) is divided by 51?
47
Suppose -5*y - 2*b = -49, 26 - 19 = y - b. Let o = 16 + -4. Suppose -4*n + 56 + o = 0. Calculate the remainder when n is divided by y.
8
Suppose -2*k + 18*w + 20006 = 16*w, 0 = k - 2*w - 10004. Calculate the remainder when k is divided by 36.
30
Suppose 56*s + 33 - 33 = 0. Let f be (2 - 12)*(-1)/2. Suppose -f*u - 82 + 192 = s. What is the remainder when 43 is divided by u?
21
Let d = 3346 + -3209. Let l = 175 + -124. Let i = l + -5. Calculate the remainder when d is divided by i.
45
Suppose 0 = 54*q - 172 - 638. Suppose -19 = -3*x + 2*l, 15 = -5*x - 5*l + 5. Let b = x + 6. What is the remainder when q is divided by b?
6
Let z be (20/(-6))/((-1)/63) + -2. Let i = z - 