9))/(-3 + 3470/1155). Calculate the remainder when (-6 - b/(-49)) + (-19396)/(-28) is divided by 29.
26
Let y be 269/4 - 2/8. Suppose r - 63 = -a + 5*r, -3*r - y = -a. Let n = 1713 - 1697. What is the remainder when a is divided by n?
15
Let i be -280*1 - -4 - -2. Let w = 330 + i. What is the remainder when 155 is divided by w?
43
Suppose 986 + 554 = -35*y. Let l = -31 - y. What is the remainder when 152 is divided by l?
9
Let o(h) = 46*h**2 - 5*h. Let u(z) = 2*z**2 - z - 5. Let n be u(2). What is the remainder when 159 is divided by o(n)?
36
Let l(n) = -6*n**2 - 76*n - 84. Let x(z) = -z**2 - 10*z - 5. What is the remainder when l(-10) is divided by x(-5)?
16
Let o(n) = -2*n + 122. Let f be o(0). Let p = f + -33. Let q = p + -27. What is the remainder when q is divided by 23?
16
Let d(m) = 21*m**2 - 1291*m - 35. What is the remainder when d(62) is divided by 4?
3
Let z(u) = 280*u**2 - 2*u + 1. Suppose -3*c - 4*b + 56 = 0, -16*b + 24 = -13*b. What is the remainder when z(1) is divided by c?
7
Let m = -2684 - -2697. Calculate the remainder when m is divided by 3.
1
Let j = -1594 - -1973. Calculate the remainder when j is divided by 39.
28
Suppose -3*x + 140 + 22 = 0. Let q = 7 - 5. Calculate the remainder when (-4)/x*3 - 168/(-27) is divided by q.
0
Suppose -3*z = 21, -27*n - z = -22*n - 833. Calculate the remainder when n is divided by 152.
16
Let x(g) = g**3 + 2*g**2 - 2*g - 2. What is the remainder when 14 is divided by x(2)?
4
Suppose 0 = -60*u + 43*u + 196197. What is the remainder when u is divided by 148?
145
Suppose -4*c + 543 = -5*z + 87, 0 = -5*c + 2*z + 570. Let j = c - 66. Let s = j + -40. What is the remainder when s is divided by 6?
2
Let b(i) = -2*i**3 - 3*i**2 + 3*i + 7. Let p be b(-2). Let l = 13 - 13. Suppose l = p*h - 9 + 4. Calculate the remainder when 7 is divided by h.
0
Let f = 4728 + -4558. Calculate the remainder when 631 is divided by f.
121
Let d(k) = -k**2 - 10*k + 69. Suppose 10*b = 23*b + 182. Let g = -13 - -64. What is the remainder when g is divided by d(b)?
12
Let z = -625 - -630. Calculate the remainder when (-6)/2 + 72 + 9 is divided by z.
3
Calculate the remainder when 79 is divided by 21 - (54/9)/1.
4
Let q(u) = -u + 55. Let o(i) = -2*i + 28. Let l(v) = -5*o(v) + 3*q(v). What is the remainder when 104 is divided by l(4)?
51
Let c = 10 + -7. Let x = -69 + 68. What is the remainder when (-5 + x)*16/((-576)/30) is divided by c?
2
Let w be 3/5 - (10 + (-148)/20). Let x(i) = -23*i - 21. What is the remainder when 98 is divided by x(w)?
23
Suppose 4*d - 9*d - 5*j = -75, d = j + 7. Let i be 12/66 + 20/d. What is the remainder when 29 is divided by i*(-4)/28 + (-74)/(-14)?
4
Let x = -311 + -70. Calculate the remainder when (x/6)/(2*(-5)/20) is divided by 34.
25
Suppose -9 - 18 = -5*r + w, -4*w - 12 = 4*r. Suppose -4*h = -11 - 9. Calculate the remainder when h is divided by r.
1
Suppose 3*q - 2*m - 128 = 0, -3*m + 119 = 2*q + 12. Calculate the remainder when q is divided by (36/(-21))/((-10)/70).
10
Suppose -5*z + 2*s = -26 - 107, 50 = 2*z - 4*s. Let o(u) = u**3 + 10*u**2 - 25*u - 7. What is the remainder when z is divided by o(-12)?
2
Suppose -y = -4*p - 1369, -4*y - 4*p = -3607 - 1829. What is the remainder when y is divided by 286/6 + (-16)/24?
45
Let c = 115 + -94. Calculate the remainder when (-158 - -11)*(-30)/c is divided by 31.
24
Let n = -2 + 4. Calculate the remainder when 4738/309 - (-5)/((-15)/(-2)) is divided by 3*14/6 + n.
7
Suppose -14*h + 11 = -13*h + 3*q, -4*q = 2*h - 32. Suppose -h*v + 662 = -1496. What is the remainder when 663 is divided by v?
82
Suppose -m + 486 = 2*f, 2*m + 19*f = 21*f + 996. Suppose -2*i + 10 = 0, 42 = 3*g - 2*i + 4. Calculate the remainder when m is divided by g.
14
Let z(s) = 3*s**3 + 22*s**2 + 6*s - 6. Calculate the remainder when 135 is divided by z(-7).
0
Let v(p) = -2*p**2 + 48*p - 15. Let s be v(23). Suppose -5*r + s = -f - 155, 2*r + 4*f = 70. What is the remainder when 252 is divided by r?
30
Suppose -3*h + 13 = -5*u - 19, h = -4*u - 12. Suppose -a + 19 = -h*s - 22, -4*a - s + 96 = 0. What is the remainder when 49 is divided by a?
24
Let v(t) = t**2 - 7*t + 13. Let m be v(8). Calculate the remainder when 25 is divided by (-14 + 13)*(0 - m).
4
Suppose 3*v - z - 3*z - 81 = 0, -3*v = 2*z - 45. What is the remainder when 814 is divided by v?
16
Let h(n) = 2*n**3 - 24*n**2 + 72*n - 1. What is the remainder when 387 is divided by h(7)?
10
Suppose 0 = 5*q - 5, 6*v = 7*v - 4*q - 2. Calculate the remainder when 121 is divided by v.
1
Let m(x) = 128*x - 1149. Calculate the remainder when m(13) is divided by 213.
89
Suppose 5*y = -5*n + 340, -18 + 88 = y + 2*n. What is the remainder when 191 is divided by y?
59
Suppose 19*k + 10556 = -8*k + 143*k. Let b(c) = c + 13. Calculate the remainder when k is divided by b(10).
22
Calculate the remainder when 153 is divided by (91/2)/((-217)/(-434)).
62
Let x(w) = -32*w - 3827. What is the remainder when 3275 is divided by x(-120)?
12
Let w = -16194 - -16358. Calculate the remainder when 9178 is divided by w.
158
What is the remainder when (-15)/6 - 317/(-2) is divided by 136?
20
Calculate the remainder when 99 is divided by -6 + -2 + -5 - -34.
15
Calculate the remainder when 10668 is divided by 232 + 4/(-54) + 3325/(-675).
226
What is the remainder when 546/4*((-2400)/(-90) + -18) is divided by 149?
140
Let v be 0/(8/((-8)/2)). Suppose v = r - 97 + 4. What is the remainder when r is divided by 48?
45
Let o(g) = -8*g - 7. Let l be o(-5). Let b = l - 38. What is the remainder when 60 is divided by (-108)/b + (-4)/(-10)?
16
Let k = 2151 + -2103. Calculate the remainder when 1054 is divided by k.
46
Let m(l) = -10*l + 34. Let c be m(3). Let g(s) = 4*s**3 - 6*s**2 - 10*s + 2. Calculate the remainder when g(c) is divided by 25.
22
Let d = -225 + 255. Suppose 14*p + 224 = d*p. Calculate the remainder when 250 is divided by p.
12
Let h = -392 - -818. Calculate the remainder when h is divided by 148.
130
Let i(v) = -2*v**2 - 2 + 3*v**2 - 937*v + 926*v. What is the remainder when i(16) is divided by 27?
24
Let l(p) = -p**2 + 5*p + 2. Let j be l(4). Suppose 5*n - 193 = -6*g, -2*n - 3*n = -5*g + 115. What is the remainder when g is divided by (-3)/j - 21/(-6)?
1
Let j(y) = -y**2 + 7*y + 9. Let c be (-1)/(9/(-39))*3. Suppose 0 = -5*p - c + 53. Calculate the remainder when j(6) is divided by p.
7
Suppose 22*a + 175*a - 3349 = 0. What is the remainder when 1868 is divided by a?
15
Let g(p) = -3*p**2 + 176*p - 173. Calculate the remainder when g(21) is divided by 31.
30
Suppose 0 = 85*c - 1040 - 1000. Let s(p) = p**2 + 2*p + 4. Calculate the remainder when s(-7) is divided by c.
15
What is the remainder when 269 is divided by 44 - ((-24)/(-3) + 6)?
29
Let y(h) = -10 + 6*h + 88*h**2 + 16 - 3*h - 1. What is the remainder when y(-1) is divided by 13?
12
Let v = -193 + 189. Calculate the remainder when 293 is divided by (v + 102)/(2 + 0).
48
Let x(h) = h**3 + 18*h**2 + 19*h + 46. What is the remainder when 538 is divided by x(-17)?
10
Suppose -5*n + 2 = 2*x + 23, -2*n - 6 = 2*x. Let l(f) = -67*f + 168. What is the remainder when l(n) is divided by 36?
35
Let b = -275 - 267. Let f = b + 578. Suppose -2*g + 29 = -9. What is the remainder when f is divided by g?
17
Let o(h) = -17*h**3 + 4*h - 1. Let k be o(-3). Suppose -4*y + 190 = -k. What is the remainder when y is divided by (-48)/10*(-3575)/429?
39
Suppose -n - 2*n = -39. Let g = -55 + 415. Suppose -9*u - g = -24*u. What is the remainder when u is divided by n?
11
Let u(a) be the first derivative of -a**3/3 - 8*a**2 + 3*a - 2. Let o = -562 - -548. Calculate the remainder when u(o) is divided by 8.
7
Suppose 0 = 2*w - 5*j - 1244, 216*w + 5*j + 612 = 217*w. Calculate the remainder when w is divided by 180.
92
Suppose -3*r - 2 + 56 = 0. Suppose -2*o = 5*h - 7*h, -29 = -3*o - h - 1. What is the remainder when r is divided by o?
4
Suppose -10 = -2*b - 6. Suppose 0 = 5*h - j - 222, 0*h - 5*h + b*j + 224 = 0. Calculate the remainder when h/6 + (-20)/(-30) is divided by 3.
2
Suppose 20*f - 3155 = 885. What is the remainder when f is divided by 57?
31
Let m(b) = 12*b**3 + b**2 - 6*b - 4. Let y be m(-2). Calculate the remainder when 33 is divided by (-6 + 5)/(4/y).
12
Let x = -18234 + 20271. What is the remainder 