t y = 506 + -467.  Suppose 0 = 5*n - 2*j - 6808, 2*n - 4*j - 587 = 2133.  What is the remainder when n is divided by y? 
36
Let k be (-2)/(5/((-100)/8)).  Suppose -k*z + 0*c = c - 8, -4*z - 2*c = -4.  Calculate the remainder when ((-1792)/(-384))/((-1)/(-3)) is divided by z.
0
Let v(u) = 80*u + 1.  Let k be 0/(((-4)/8)/(3/(-12))).  Suppose 0 = 5*x - n - 73, -2*x - 5*n + 13 = -k*n.  What is the remainder when v(1) is divided by x? 
11
Let a = -148 - -151.  Calculate the remainder when -2*2*15/(-4) is divided by a.
0
Let m(t) = 5*t**2 + 8*t + 21.  Let l(h) = 4*h**2 + 8*h + 21.  Let n(s) = 4*l(s) - 3*m(s).  Calculate the remainder when n(-7) is divided by 8. 
6
Let g(l) = 7*l - 17.  Let h be g(3).  Suppose -4*x + 104 = -t - 2*t, 0 = h*x - 4*t - 108.  What is the remainder when (1 - -21)/(14/56) is divided by x? 
19
Calculate the remainder when (135410/660)/((-2)/(-12)) is divided by 95. 
91
Let z = 10861 + -10842.  Calculate the remainder when 1646/8 - (-5)/20 is divided by z.
16
Suppose 0 = 5*a + 2*y - 160, 4*y = a - 18 - 14.  Calculate the remainder when 179 is divided by a.
19
Suppose 332 = i - 21.  Suppose -5*y - 4*z + 327 = -232, -3*y + i = -2*z.  Calculate the remainder when (-2 + 24/10)*y is divided by 16. 
14
Suppose 0 = -0*q + 3*q - 534.  Let x(t) = 2*t + 45.  Let f(a) = 25*a + 585.  Let v(b) = -3*f(b) + 40*x(b).  What is the remainder when q is divided by v(-5)? 
18
Let l(p) = p**3 + 40*p**2 - 170*p - 5259.  What is the remainder when (97/(-3))/(5/(-15)) is divided by l(-41)? 
7
Suppose -n + 3*f + 95 = 8*f, 5*f = -5*n + 375.  Let g = 2857 + -2640.  What is the remainder when g is divided by n? 
7
Let a = -72 + 407.  What is the remainder when a is divided by 57? 
50
Let x(d) = 6*d**2 + 329*d - 2715.  Calculate the remainder when 2699 is divided by x(8). 
291
Let a(y) = 2*y**2 + 33*y - 12.  Let i(o) = -o**3 + 7*o**2 - 17.  Let t be i(7).  What is the remainder when 184 is divided by a(t)? 
4
Suppose 5543*q - 195 = 5538*q.  What is the remainder when q is divided by 7? 
4
Suppose n = -2*a - n + 688, 4*a - 2*n = 1352.  Suppose 1166 = 7*p + a. What is the remainder when p is divided by 33? 
19
Let l = 1674 - 1653.  Calculate the remainder when 35*2/(-4)*-2 is divided by l.
14
Suppose 3*a - 8 + 68 = 0.  What is the remainder when a/(-3)*(23 + -17) is divided by 22? 
18
Suppose 5*w = -m - 8, -2*m - 5*w - 2 = -11.  Let n(b) = -27*b - 85.  What is the remainder when n(-5) is divided by m? 
16
Let t = 3 - -5.  Let z(u) = u**3 + 6*u**2 + 2*u - 11.  Suppose 2*p - 3*p = 2*o + 4, 32 = -4*o + 4*p.  What is the remainder when z(o) is divided by t? 
5
Suppose -4484*s - 1582 = -4597*s.  Calculate the remainder when 11352 is divided by s.
12
Suppose -8*m + 8 = -4*m, h - 4*m + 5 = 0.  Suppose 0 = 3*z - 2*j - 581, -h*z + 5*j = z - 763.  What is the remainder when z is divided by 22? 
21
Let n(f) = -7*f**3 - 3*f**2 - 3*f.  Let h be n(-2).  Suppose -151*w + 81*w + 1820 = 0.  What is the remainder when w is divided by 3*(h/(-3))/(-5)? 
6
Suppose 118*q = 111*q + 21.  Calculate the remainder when 51 is divided by (3 - (q - 2)) + 27. 
22
Let y(m) = 3*m**2 - 7*m + 3.  Let i be y(2).  What is the remainder when (-13 + (-5 - -6))*(-30 + i) is divided by 25? 
23
Suppose -33 = -5*b + 57.  Let o be (13/(-4))/(3 - (-22)/(-8)).  Let g = b + o. What is the remainder when 48 is divided by g? 
3
Suppose 66*u = -82*u + 407415 + 136337.  What is the remainder when u is divided by 7? 
6
What is the remainder when 450 is divided by ((-3)/(-15))/(350/99750)? 
51
Let w = 30 + -9.  Let b(m) = m**3 + 80*m**2 + 1203*m + 274.  Calculate the remainder when b(-60) is divided by w.
10
Suppose 168*p + 162*p - 11160 = -290*p.  What is the remainder when 924 is divided by p? 
6
Suppose -14*a + 10*a - 136 = -5*o, o - 8 = -4*a.  Suppose -202 = o*b - 26*b.  What is the remainder when b is divided by 56? 
45
Suppose -n - 15 + 80 = 5*q, -3*n = q - 153.  What is the remainder when 160 is divided by n? 
10
Let b = -43072 + 43087.  Let f = 51 + -8.  Let s = f + 31.  What is the remainder when s is divided by b? 
14
Let i(l) = -l**2 - 20*l - 4.  Let y be i(-20).  Let w(n) = -2*n**2 + 20*n + 1.  Calculate the remainder when w(9) is divided by 13 + -9 - (y + 0). 
3
Let u = -27150 - -27336.  Calculate the remainder when u is divided by ((-196)/21)/(2/(-12)). 
18
Let i = 39194 - 24850.  Calculate the remainder when 7/(-112) + i/128 is divided by 56. 
0
Let i = -1501 - -1921.  Calculate the remainder when i is divided by 24. 
12
Calculate the remainder when 464 is divided by ((6 - 25) + 17)/((-1)/114). 
8
Let n = 404 + -399.  Suppose -5*o - 4*p = 638 - 3339, n*p - 557 = -o.  Calculate the remainder when o is divided by 15. 
12
Let j(s) = s**3 + 20*s**2 + 50*s - 10.  Let a be j(-17).  Suppose -5*z + 58 = -3*i, -54 = -5*z - 3*i + a*i.  Calculate the remainder when 66 is divided by z.
10
Let b(n) = 68*n + 1597.  Calculate the remainder when 426 is divided by b(-23). 
30
Let y be 483 - (6 + -2 + 1).  Let a = -260 + y. What is the remainder when a is divided by 111? 
107
Suppose -j + 61 = -5*h + 38, h = -4.  Let v(n) be the first derivative of n**4/2 + n**3/3 - n**2/2 + n + 2.  What is the remainder when j is divided by v(1)? 
0
Let c(k) = 4*k**3 - 16*k**2 + 17*k + 19.  Let v(r) = -r**3 + r**2 - 2*r + 1.  Let f(p) = -c(p) - 5*v(p).  What is the remainder when f(-11) is divided by 29? 
24
Suppose -y = 16 - 22.  Let q(f) = -2*f**2 + 47*f - 39.  Calculate the remainder when (2/y)/((-2)/(-804)) is divided by q(22). 
26
Let m(q) = -58 + 9*q - 55*q - 32*q + 7*q.  What is the remainder when 838 is divided by m(-2)? 
82
Let w(i) = 56*i**2 + i. What is the remainder when (-14 - (-1035)/75) + (-4)/(100/(-1605)) is divided by w(-1)? 
9
Let d(i) = 4*i**2 + 2*i - 21.  Suppose -5*l - 265 = -5*k, 0*k + 5*l = -k + 77.  What is the remainder when d(5) is divided by k? 
32
Suppose 2*f - 2270 = 244.  Calculate the remainder when f is divided by ((-893)/(-57) + -25)/(6/81*-3). 
39
Let k = -34 + 47.  Let j = -45 + 49.  Suppose -8*x + 60 = j*x.  What is the remainder when k is divided by x? 
3
Let w be 1458/108*10/(-3).  Let o = 20 + -50.  What is the remainder when 9 is divided by (-21)/(-2)*o/w? 
2
Suppose -2*m + 5*m + 3*n - 48 = 0, 0 = 2*m - 5*n - 46.  Suppose -m*d + 13*d = -110.  Calculate the remainder when 172 is divided by d.
18
What is the remainder when 1225 + (-5)/1*11/33*3 is divided by 111? 
110
Suppose -172103*v + 1268 = -172102*v.  Calculate the remainder when v is divided by 156. 
20
Suppose -7*u + 12*u - 6755 = 0.  Suppose 3*c = -4*w + u, -4*c + 991 = -5*w - 862.  What is the remainder when c is divided by 17? 
15
Suppose 6*r = -3247 + 193.  Let j = -475 - r. What is the remainder when 270 is divided by j? 
32
Let u(h) = -6*h - 24.  Suppose 0 = 17*p - 16*p + 6.  Let x be u(p).  Suppose -3*i - 5*k + x = 0, -2*k = 3*i + k - 12.  What is the remainder when 6 is divided by i? 
2
Let k = -146 + 374.  Suppose 25*u - 122 = k. Suppose 117 = 5*w - 8.  Calculate the remainder when w is divided by u.
11
Suppose -6*f = -5*q - f - 1950, -782 = 2*q - f. Let p = -132 - q. Suppose -v = 12*v - p. What is the remainder when 58 is divided by v? 
18
Let n = 20992 + -20978.  What is the remainder when 374 is divided by n? 
10
Let q = 9919 + -9869.  Calculate the remainder when 51 is divided by q.
1
What is the remainder when 62/(-310) + (-10248)/(-15) is divided by 2? 
1
Suppose 0 = -208*o - 220*o + 21828.  Suppose 5*d - 2*d - 744 = 0.  What is the remainder when d is divided by o? 
44
What is the remainder when 18/(-36)*30/(-5) - -3835 is divided by 60? 
58
Let g be (-2 - 0)*15/10 - -604.  Suppose 27*j + 196 = g. Calculate the remainder when 109 is divided by j.
4
Suppose 0 = -4*g + 7*g - 15.  Suppose -4*a + p - 97 = 0, 0*a - g*p + 35 = -2*a.  Let t(f) = -3*f - 45.  What is the remainder when 149 is divided by t(a)? 
29
Let w = -629 + 948.  What is the remainder when w is divided by 12? 
7
Suppose -12*n + 28*n + 7024 = 0.  Let q = n - -503.  Let y(f) = f**3 + 7*f**2 + f - 3.  Calculate the remainder when q is divided by y(-6). 
10
Suppose 15*f - 40*f + 725 = 0.  Suppose f*o - 3520 = -40.  What is the remainder when o is divided by 46? 
28
Let h(i) = i**3 + i**2 + 3*i - 7.  Let s be h(3).  Suppose 6*d = s*d - 2912.  Calculate the remainder when 261 is divided by d.
79
Let p = 2856 - 2824.  Calculate the remainder when 2197 is divided by p.
21
Let b = 11 - 8.  Suppose b*l - 638 - 295 = 0.  What is the rema