*b + 2*z + 419 = 0, -2*z - 22 + 18 = 0. Let v = 16 + b. What is the remainder when v is divided by 2/8 + 99/4?
24
Suppose -103*r = -101*r - 3*w - 72, -r + w + 35 = 0. What is the remainder when 299 is divided by r?
2
Suppose -2*d = -2*n + 12, 5*n - 10*d - 30 = -15*d. Suppose n*x = 2*x + 24. Calculate the remainder when 57 is divided by x.
3
Suppose 116*p - 3486 + 818 = 0. What is the remainder when 63 is divided by p?
17
Let y be (-1 + 6)/(-20) - (-1638)/24. Let m = 147 - y. Calculate the remainder when m is divided by 22.
13
Suppose m + 26 = 4*c, 22*c = 23*c + 2*m - 2. Calculate the remainder when 29 is divided by c.
5
Let k(b) = -363*b - 1281. What is the remainder when 1006 is divided by k(-4)?
151
Let j(k) = -k + 5. Let l be j(-5). Let n(h) = h**2 - 5*h + 20. Let q be n(9). Let x = q - l. What is the remainder when x is divided by 25?
21
Let b(c) = c**2 + 14*c + 39. Let v be b(-7). Suppose -h = 2*k - 29, -k = 5*h - 5 - 14. Calculate the remainder when 54/2*2*(-15)/v is divided by k.
11
Suppose -7657 = -9*j - 709. Suppose x = -2*i + 509, 5*i + 2266 - j = 3*x. What is the remainder when x is divided by 46?
43
Let n(c) = -1538*c + 7027. What is the remainder when 878 is divided by n(4)?
3
Let v be 1/(90/(-600) - 2/(-5)). Calculate the remainder when 227 is divided by 539/14 - (2 - 6/v).
37
Let g(p) = -2*p**2 + 16*p - 9. Let r be g(3). Calculate the remainder when (r + -13)*(-3 - -8) is divided by 6.
4
Suppose 5*r - 29*s - 7 = -25*s, 2*r - 2*s - 4 = 0. What is the remainder when 88 is divided by (-30)/(-70)*(r + 22)?
7
Let t(n) = -n**3 - 5*n**2 + 2*n + 1. Suppose 1721*c - 1713*c - 104 = 0. Calculate the remainder when t(-6) is divided by c.
12
Let r(i) = -5*i**3 + 600*i**2 + 2384*i + 1. What is the remainder when r(-4) is divided by 190?
5
Suppose 17*g = 26*g - 801. Let x = g + -84. What is the remainder when x is divided by 4?
1
Let s(x) = x**3 + 19*x**2 + 29*x - 60. What is the remainder when 970 is divided by s(-17)?
20
Suppose 120*k - 4455 = 105*k. Let m(b) = 2*b - 12. What is the remainder when k is divided by m(16)?
17
Let o(m) = 1770*m + 6. Let f(i) = 590*i + 2. Let t(p) = 7*f(p) - 2*o(p). Let s be t(1). Suppose -s + 197 = -5*v. What is the remainder when v is divided by 21?
16
Suppose 0 = t + 4*t + 830. Let w = t + 310. Suppose 0 = 5*x - x - w. Calculate the remainder when x is divided by 13.
10
Let j(s) = s**3 + 22*s**2 - 25*s - 38. Let g be j(-23). What is the remainder when 387 + (-4 - (-6 + g)) is divided by 55?
51
Let b = -4188 + 4200. What is the remainder when 1234 is divided by b?
10
Suppose -3*x + 105 = -3*u, -27*u + 5 = -28*u. What is the remainder when 35 is divided by x?
5
Let l be -1 - (6748/(-42))/(4/6). Suppose 149*p + l = 161*p. Calculate the remainder when 35 is divided by p.
15
Let x be 8/14 + 88/(-154). Suppose 5*g + 79 - 24 = x. Let n(k) = k**3 + 12*k**2 + 8*k + 9. What is the remainder when n(g) is divided by 11?
9
Let h(c) = 6*c - 20. Let v be h(10). Let m = 40 - v. What is the remainder when 122 - (4 - m/4) is divided by 24?
22
Let j = 16 - 1. Let m(u) = 56*u**3 + 3*u**2 - 4*u + 2. Suppose 0 = -5*f - 0*g + 3*g + 11, 0 = -2*f + g + 4. Calculate the remainder when m(f) is divided by j.
12
Suppose 3*b + 3*t = 78, 3 = 3*t - 0. What is the remainder when 137 is divided by b?
12
Let z = 1069 + -264. What is the remainder when z is divided by 101?
98
Let g(w) = -4*w - 85. Let y be g(-22). Suppose -956 = -5*v - 2*q - 272, 0 = -3*v - y*q + 414. What is the remainder when v is divided by 69?
67
Let a(j) = -12*j - 86. Calculate the remainder when 707 is divided by a(-8).
7
Let h = -10 - -10. Suppose -26 = -a + 3*l, 2*a - 57 = l - h*l. Let j(s) = 58*s**2 + 5*s + 3. Calculate the remainder when j(-1) is divided by a.
27
Let b(o) = -2*o**2 - 2*o + 1355. What is the remainder when 675 is divided by b(24)?
55
Let h be (-10)/4*(-24)/10. Let f be (39/h)/(3/(-6)). Let a(p) = -p**3 - 13*p**2 - 7*p - 25. Calculate the remainder when a(f) is divided by 23.
20
Let m = -88 + 92. Suppose -p - 6 = -x, 0 = -3*p - 3*x + m + 8. What is the remainder when 190/(-2 - 3)*p is divided by 21?
17
Let v = -11530 + 12474. What is the remainder when v is divided by 104?
8
Let l(d) = 1546*d - 5874. What is the remainder when l(9) is divided by 187?
186
Let q = 23 - 15. Let u = -187 - -187. Suppose u = 5*h - 7*h + 10. Calculate the remainder when q is divided by h.
3
Let j = 15342 + -14261. Calculate the remainder when j is divided by 17.
10
Let u = -21370 + 21389. What is the remainder when 3225 is divided by u?
14
Suppose -m + 32 = -93. What is the remainder when 49 is divided by ((-75)/m - (-34)/(-10))*-1?
1
Let x(d) = -2*d**3 - 4*d**2 + 45*d + 150. Calculate the remainder when x(-6) is divided by 55.
3
Calculate the remainder when 10*10/50 - (-3 + -370) is divided by 18.
15
Suppose y + 0*y - 4*h - 22 = 0, 2*h = 4*y - 32. Suppose y*z = 167 + 91. Calculate the remainder when z is divided by 22.
21
Let n(m) = -m**2 + 16*m - 20. Let v(r) = -2*r**3 + 63*r**2 - 32*r + 44. Let s be v(31). Calculate the remainder when 227 is divided by n(s).
18
Suppose 5*w = -3*f + 185, -4*w + 17*f + 141 = 18*f. What is the remainder when 2310 is divided by w?
32
Suppose -4*f + 4*m + 144 = 0, 0 = -0*f + 2*f - 4*m - 80. Suppose -17*u = -f*u + 855. What is the remainder when 223 is divided by u?
52
Let f = 16275 - 15836. What is the remainder when f is divided by 277?
162
Suppose 4*u = -279*x + 277*x + 92, -62 = -3*u - 5*x. Calculate the remainder when 8063 is divided by u.
23
Let y(m) = -20*m**2 + m - 4. Let p be y(2). Let h be 3/(-12) - 2/16*p. Suppose 0 = -h*w + 2*w + 112. Calculate the remainder when w is divided by 6.
2
Let p = -10970 - -11146. What is the remainder when 6156 is divided by p?
172
Suppose -5*v = -4*t + 396, -t = -0*v + 4*v + 300. Let a = v + 80. What is the remainder when 216 is divided by a/((-2)/1) + 46?
40
Suppose -56 = -0*p - 4*p. What is the remainder when 59 is divided by p - (6/9)/((-16)/72)?
8
Let v(g) = g**3 - 168*g**2 - 1782*g + 370. What is the remainder when 19934 is divided by v(178)?
12
Let q = 4523 + -4500. Calculate the remainder when 33 + (-3)/3 + 0 is divided by q.
9
Suppose 17 - 11 = -2*j. Let i be ((-1)/(-1) - -30) + 1*j. Let b = 43 - i. What is the remainder when 27 is divided by b?
12
Let t(h) = h**2 - 7*h + 13. Let m be (-2 - -3)/(2/12). Calculate the remainder when 13 is divided by t(m).
6
Suppose 265*v - 1035*v = 394*v - 413220. Let f = 0 - -18. What is the remainder when v is divided by f?
13
Suppose -w + 9 = -0*w - 3*r, r + 19 = -5*w. Calculate the remainder when (377/87)/(w/(-117)) is divided by 50.
19
Suppose 55 + 56 = 3*i - u, 0 = 4*i + 2*u - 138. Let p = -35 + i. Calculate the remainder when 1 is divided by p.
0
Let x = -5 + 14. Let u(p) = -15*p - 303. Let v(d) = d**3 - 37*d**2 - 35*d - 137. Let o be v(38). What is the remainder when u(o) is divided by x?
6
Let u = -24 - -24. Suppose u = 39*j - 51*j + 180. What is the remainder when 44 is divided by j?
14
Let l(m) be the first derivative of 2*m - 23/4*m**4 - 2/3*m**3 + 14 + 1/2*m**2. Calculate the remainder when 59 is divided by l(-1).
15
Let i(h) = -2*h**3 - 159*h**2 + 243*h + 43. Suppose 0*o - 2*y = -3*o - 1, -4*o = y + 5. What is the remainder when i(-81) is divided by (o - -4)/(6/8)?
3
Suppose -5*m = -3*m + 108. Let t = 68 + m. Suppose -t*h + 18*h - 136 = 0. Calculate the remainder when h is divided by 19.
15
Let j(h) = 30*h - 504. Let y be j(-48). Let c = y - -2007. Suppose -3*n - 369 = -3*g, -2*n - 2 = -4*n. Calculate the remainder when g is divided by c.
61
Suppose -5*v + 4*f + 124 = -v, 3*f = -3*v + 63. Suppose -4*j + v = -2*w - 20, 3*j + w = 37. What is the remainder when 93 is divided by j?
9
Let z be (-496)/(-10) - (-12)/150*5. Let c = 116 + z. What is the remainder when c is divided by (7 - 5 - -19)*1?
19
Suppose -2*t = 3*z - 556, -4*t - 68 = -z + 94. Let k be -1*(-1 - -1) + 0. Suppose 4*g - z + 22 = k. Calculate the remainder when g is divided by 14.
12
What is the remainder when (-11775)/12*580/(-725) is divided by 160?
145
Let l(h) = -17*h**2 + 445*h - 43. What is the remainder when 1081 is divided by l(26)?
31
Suppose 0 = 49*o - 209*o + 49120. Calculate the remainder when 947 is divided by o.
26
Let m = 3607 - 3604. Calculate the remainder when 76 is div