et p(n) = n**3 + 22*n**2 - 4*n - 85. Suppose -4*v = 2*a + 48 - 0, 0 = -3*a + 2*v - 64. Let f = -10 + 18. Calculate the remainder when f is divided by p(a).
2
Suppose 733 = 67*h - 30355. Calculate the remainder when h is divided by 76.
8
Let p = 284 + -271. Let a = 119 + -86. Calculate the remainder when a is divided by p.
7
Let p = 2143 - 1920. Calculate the remainder when 7132 is divided by p.
219
Suppose -h + 4405 = 4*u, -5522 = -16*u + 11*u + 4*h. Calculate the remainder when u is divided by 78.
10
Let t be ((-64)/6)/2*(-15)/(-10). Suppose 3*q + 5*l - 14 = q, -l + 14 = 2*q. Calculate the remainder when (t/(-2))/(((-68)/(-40))/17) is divided by q.
5
Let w = -618 - -657. Suppose 5*s - 3*a = 313, -182 = -2*s - s - 4*a. Calculate the remainder when s is divided by -4 - (18/(-27))/(1/w).
18
Suppose 4*i = i + 9. Suppose -4*d = i*a - 771, -2*d - 4*a = -8*a - 380. What is the remainder when d is divided by 39?
36
Let w be (-162)/27 + (-331 - 2). Let s = -180 - w. Calculate the remainder when s is divided by 9.
6
Let z(l) = -10*l**3 - 2*l**2 - 2*l - 1. Suppose -64 = 30*u + 86. Calculate the remainder when ((-1216)/(-95))/((-2)/u) is divided by z(-1).
5
Let y be (-4)/((-5)/(2625/10)). Suppose y - 133 = n. Calculate the remainder when 307 is divided by n.
76
Suppose -4*w = 2*r - 42, -2*r + 5*r = 3*w - 36. Suppose 410 = 6*j - w*j. Let h = j - -114. Calculate the remainder when h is divided by 18.
14
Let g(h) = h**2 - 8*h - 385. Let x be g(0). Calculate the remainder when (3/(-5))/(11/x) is divided by (-3)/(-12) + 31/4.
5
Let h = -20432 + 20484. Let l be (1 - 3) + (29 - -2). Suppose -2*j + 4*f = -50, j = -0*j - 2*f + l. Calculate the remainder when h is divided by j.
25
Let s(k) = -3*k - 11. Let a be s(-5). Suppose 3*j - 4*q = 0, 4*j - 19 = 3*q - a*q. Suppose -o - 6*o = -56. Calculate the remainder when o is divided by j.
0
Calculate the remainder when 2 + 750 + (-80)/(-200) + (-7)/5 is divided by 20.
11
Let t = 7930 + -7888. Calculate the remainder when 3400 is divided by t.
40
Let q = -16615 - -16630. Calculate the remainder when 801 is divided by q.
6
Suppose -y - 98 - 14 = -4*i, -4*i = 5*y - 136. What is the remainder when 1126 is divided by i?
24
Let c(u) = -u**2 + 9*u + 17. What is the remainder when 116 is divided by c(9)?
14
Suppose -3*c = -2*y + 1 + 17, -4*y - c = -8. Suppose -y = -2*o + 1. Calculate the remainder when 54 is divided by (o/((-1)/(-1)))/((-2)/(-19)).
16
Let i = 13106 - 12959. What is the remainder when 402 is divided by i?
108
Suppose -5*y = 2*z - 389 + 7, y = -2*z + 70. Let f(w) = -w**2 + 13*w + 231. Calculate the remainder when f(0) is divided by y.
75
Let i be 36/((3/(-5))/(62/(-5))). Let n = i + -512. Let c = -144 + n. Calculate the remainder when c is divided by 15.
13
Let j be (-19)/((-38)/12)*(-2)/(-12). Suppose -j + 13 = 4*z. Suppose -39 = -3*p + 2*d - 0*d, 2*p - 13 = -z*d. What is the remainder when 29 is divided by p?
7
Let h(y) = -y**3 + 7*y**2 + 129*y + 255. Suppose -59 + 167 = 2*b. What is the remainder when b is divided by h(16)?
9
Let g(y) = 7*y**2 - 116*y - 58. What is the remainder when 4030 is divided by g(18)?
4
Let s(u) = -u**2 + 5*u - 1. Let a be s(2). Suppose -2*w - z + 73 = -4*w, 4*w - a*z = -143. Let i = w - -47. What is the remainder when 20 is divided by i?
0
What is the remainder when 6/9 - 676/(-3) is divided by (5 + (6 - 5) - 13) + 56?
30
Let t = 65 + -65. Suppose t = g - 109 + 4. Let q = g - -5. Calculate the remainder when q is divided by 29.
23
Let m = -259 + 251. Calculate the remainder when 112 is divided by 204/7 - (220/(-28) - m).
25
Suppose -23 = 19*c - 32*c + 29. Calculate the remainder when 3457 is divided by c.
1
Suppose -15*r + 108 = 2*n, -5*r - 5*n - 54 = -8*r. Let g(i) = i**2 - 2*i - 4. What is the remainder when g(-6) is divided by r?
4
Let q be (-7 + 3 - -7) + -7. Calculate the remainder when 574 is divided by 11/(693/1116) - q/14.
16
Let p(s) = 325*s + 142. Let z be p(8). Suppose -3*w + 5*x + 2677 = 0, -4*x - z = -5*w + 1737. What is the remainder when w is divided by 50?
49
Let d = -15 + 61. Calculate the remainder when (-3)/(-9) - d/(-6) is divided by (-15)/50 + 118/60 + (-14)/21.
0
Let f = 73 + -49. Suppose -f + 8 = -4*i. What is the remainder when 45 is divided by 4*i + (-3 - (2 + -2))?
6
Suppose -4*z + 66 = 2*j, -87 = -3*z - 72. What is the remainder when 2496 is divided by j?
12
Suppose 0 = 2*c - 4*w - 106 - 48, -5*w + 275 = 3*c. Let v = 28 + -20. What is the remainder when c is divided by 2*(-2)/v*-58?
27
Suppose -40*n - 7984 = -56*n. What is the remainder when 1505 is divided by n?
8
Let q(n) = 3*n**2 - 1287*n + 6464. What is the remainder when q(5) is divided by 14?
6
Let g = 9167 + -9161. Suppose s = 3*s - 3*d - 35, -2*s + 30 = -4*d. What is the remainder when s is divided by g?
1
Calculate the remainder when 744 is divided by (-14)/(-77) + 92/(-22) - 3190/(-29).
2
Let f(g) = 2*g**3 + 46*g**2 + 44*g + 2. Let s be f(-22). Calculate the remainder when ((-477)/90*-2)/(s/30) is divided by 27.
24
Suppose 12*a - 430 = 2*a. Suppose a*i + 1 - 388 = 0. Calculate the remainder when 53 is divided by i.
8
Let f(d) = 5*d + 124. Let c(u) = -6*u - 124. Let y(k) = 5*c(k) + 4*f(k). Calculate the remainder when 52 is divided by y(-13).
4
Calculate the remainder when (-22263)/(-39) - (-6)/39 is divided by (-33)/99*-26*6.
51
Suppose -2*g = 4*u - 188, -g - 447 = 5*u - 547. Calculate the remainder when g is divided by 36.
18
Suppose 4*n = -3*n - 182. Let l = n - -33. Suppose 5*p + a = 21, 2*a - 28 = -4*p + 4*a. What is the remainder when l is divided by p?
2
Suppose 157*y + 8 = 161*y. Suppose -15 - 21 = -y*k - 2*a, 74 = 3*k - 2*a. Calculate the remainder when k is divided by 16.
6
Let t = -16 - -9. Let v(f) = f**3 + 6*f**2 - 10*f - 6. Let d(p) = p**2 - 54*p - 467. What is the remainder when d(62) is divided by v(t)?
14
Suppose 4*y - 11*y = 189. What is the remainder when 49 is divided by (-22 - 1)*(26 + y)?
3
Let q(b) = 25*b + 2100. Calculate the remainder when 691 is divided by q(-82).
41
Let h(n) = 2*n**3 - 25*n**2 + 19*n + 21. Let g be h(12). Suppose -5*d + 35 = -g. What is the remainder when 195 is divided by d?
27
Suppose 4*y - 6266 = 5*f + 5787, -5*y + 15138 = 4*f. Calculate the remainder when y is divided by 202.
194
Suppose -13*j = -4*j. Suppose j*a + 231 = 2*a + 3*t, 0 = -3*a + t + 374. Calculate the remainder when a is divided by 63.
60
Suppose 4*n - 2*n + n = 0. Suppose n*p = -2*t + p + 66, -p = 2*t - 66. Let z = t + -8. What is the remainder when 74 is divided by z?
24
Suppose 0 = 3*q - w + 9, -2*w + 2 = 2*q - 4*q. Let m be (5/5)/(q/(-16)). What is the remainder when -3 + m/(4/57) is divided by 14?
12
Let f(y) = y**2 - y + 19. Let w = -13971 + 14032. Calculate the remainder when w is divided by f(0).
4
Let f(i) = 3*i**2 + 45*i + 101. Calculate the remainder when 1015 is divided by f(-17).
0
Let w = 10767 + -10745. Let z(p) = -p + 13. Calculate the remainder when w is divided by z(0).
9
Suppose -5*s = -0*s - 15*s + 1040. Calculate the remainder when s is divided by 87.
17
Suppose 265 = 7*n - 316. Let s(a) = -a**2 + 15. Let h be s(0). Suppose -14 = h*c - 16*c. Calculate the remainder when n is divided by c.
13
Let h(r) = 3*r**2 - 59*r - 141. Suppose -q + 59 = 4*l + 4*q, -5*q - 25 = 0. What is the remainder when l is divided by h(22)?
8
Suppose 0 = x - 3, 9 = b + 2*b - 3*x. Let p = 225 + -223. Suppose -28*o + p*y + 16 = -25*o, -2*o - 5*y = 21. Calculate the remainder when b is divided by o.
0
Suppose 34 = 28*p - 26*p. Let r = 243 + -142. Calculate the remainder when r is divided by p.
16
Suppose -5*i - 2*j + 52 = 0, 0 = -2*i - 4*j + 8. Calculate the remainder when (-134)/(-4) + i/(-8) is divided by ((-18)/60*-5)/((-3)/(-18)).
5
Let v(j) = -j**3 + 60*j**2 + 159*j - 315. What is the remainder when v(62) is divided by 58?
57
Suppose -4*f = 0, -5*g + 4798 = -5*f - 6387. What is the remainder when g is divided by 83?
79
Let p(z) = 2*z + 34. Let o be p(-15). Let i be (8/12)/(o*(-1)/(-390)). Suppose 2*j + j + 46 = l, -2*l + i = 3*j. What is the remainder when 146 is divided by l?
35
Suppose z = 3*j - 2*j + 14, -2*z + 4*j + 34 = 0. What is the remainder when 11*1/11*(0 - -61) is divided by z?
6
Let f(n) = n**2 - 36*n + 167. Let i be f(7). Suppose z + 22 = 71. Let r = i + z. What is the rema