by b.
19
Suppose -12 - 4 = 2*u. Let h be (u/2)/((-8)/108). What is the remainder when 25 is divided by 6/10 + h/10 + 1?
4
Let v = -921 - -1072. Suppose 5*a = 132 + 123. What is the remainder when v is divided by a?
49
Suppose -30*k = -26*k + 4*j - 204, -5*j = -k + 75. Suppose -34 + 15 = -z. What is the remainder when k is divided by z?
17
Let z(j) = j**3 + 10*j**2 - 5. Let d(y) = -12*y - 215. What is the remainder when z(-5) is divided by d(-21)?
9
Suppose -2*v + 6*l - l = -705, -1085 = -3*v + 2*l. Calculate the remainder when v is divided by 203.
162
Let u be -3 - 1*(0 + (-2 - -2)). Calculate the remainder when u - -166*(-6)/(-4) is divided by 13.
12
Let m = 25048 + -24917. Calculate the remainder when 319 is divided by m.
57
Suppose -4*i + 11*i - 295 = -5*b, -4*b = 2*i - 236. What is the remainder when 365 is divided by b?
11
Suppose -6*n - n = -5649. Let u = 811 - n. What is the remainder when 7 is divided by u?
3
Suppose 3*l - 4*k = 84, k = 3*l - 138 + 36. Calculate the remainder when 99 is divided by l.
27
Let w be (110/(-15))/(2/3). Let k = -3 - w. What is the remainder when 42 is divided by 4*k/(-4)*6/(-3)?
10
Let d be (2 - (-15)/(-9))*63. Suppose 4*p - d = p. Suppose 5*h + 16 = p*h. What is the remainder when 30 is divided by h?
6
Let u = -85 + 128. Suppose -3*n = -0*n - 72. What is the remainder when u is divided by n?
19
Let n = 9 - 1. Suppose -35*y = -26*y - 108. Calculate the remainder when (-8)/y - 339/(-9) is divided by n.
5
Let r(x) = 2*x**3 - 21*x**2 + 9*x + 15. Let w be r(10). Calculate the remainder when w - -155 - (-2 + -1) is divided by (41*1)/(-14 - -15).
40
Let n(s) = -s**2 + 12*s - 30. Let o = -108 + 113. Let k be n(o). Suppose -6*q + k*q = -3. Calculate the remainder when 11 is divided by q.
2
Suppose 12 = -5*f + 32. Let c be 3 - (-48 - (-12)/f). Let u = 64 - c. What is the remainder when 127 is divided by u?
15
Suppose -1187 = 3*z + 322. Let s = 220 - z. Calculate the remainder when s is divided by 22.
19
Let u = 40 + -35. Suppose 12 = 3*s, 4*i - 2*s - 20 = -u*s. Suppose -i*v + 154 = -148. Calculate the remainder when v is divided by 22.
19
Suppose 2265*d - 529592 = 2216*d. Calculate the remainder when d is divided by 17.
13
Let l(c) = 35743*c - 285778. Suppose -19 = -3*x + 23. What is the remainder when l(8) is divided by x?
12
Suppose 160 = 3*z - 2*q, -3*q = 4*z + q - 180. Let s = z + -26. Suppose -p - 77 = -4*i + 4*p, -2*i + 21 = p. What is the remainder when s is divided by i?
11
Suppose -o = 4*s - 1, -30*o - 40 = -34*o + 2*s. Suppose -5*n + 71 = -139. Calculate the remainder when n is divided by o.
6
Let p(u) = u**2 - 6*u - 262. Let x be p(20). Calculate the remainder when 173 is divided by -6*(-68)/x*(50 - 47).
37
Let j(l) = -6*l - 100. Let i be j(-18). Calculate the remainder when 6 + i/((-40)/(-585)) is divided by 14.
11
Let q(h) be the second derivative of h**3/6 + 53*h**2/2 + 12*h + 3. What is the remainder when 83 is divided by q(-21)?
19
Suppose 3*a - i - 69 = i, a - 30 = 3*i. Let k be 9487/477 - 2/(-18). What is the remainder when 79 + 0 - (9 - (k + -14)) is divided by a?
13
Let i(c) be the first derivative of 5*c**2/2 - c - 7. Let d be i(2). Let h = 33 - d. Calculate the remainder when h is divided by 5.
4
Let t = -15191 + 15215. Calculate the remainder when 1427 is divided by t.
11
Let n(o) = -3 - 446*o - 3 + 6*o**2 - o**3 + 444*o. What is the remainder when 188 is divided by n(5)?
8
Let a = 44 + -61. Let n = 28 - a. Suppose n = 3*m + 8*p - 3*p, -5*p - 25 = -4*m. Calculate the remainder when 11 is divided by m.
1
Suppose 0 = -259*j + 257*j + 4. Suppose 3*o - 3*r - 369 = 0, -j*o - 2*r + 44 + 222 = 0. Calculate the remainder when o is divided by 19.
14
What is the remainder when 1090 is divided by ((-2118)/8)/((-36)/48)?
31
Suppose -3*s = s - 8. Let y = -4964 + 5012. Calculate the remainder when y is divided by s*2/(12/51).
14
Suppose 0 = -o + 438*c - 443*c + 40, -5*c + 15 = 0. Suppose 0 = x - 2*x - 1. What is the remainder when ((-380)/16)/(x/4) is divided by o?
20
What is the remainder when ((-4)/12)/((64/(-171384))/8) is divided by 2376?
13
Let g(r) = 70*r**2 - 2*r - 1. Suppose -2*h - 5*n = -1583 - 197, -5*h + 4*n + 4384 = 0. Let c = h - 843. What is the remainder when g(-1) is divided by c?
34
Let p = 404 - 931. Let a = p + 778. What is the remainder when a is divided by 18?
17
Let r be ((-342)/(-15))/((-2)/(-5)). What is the remainder when 45 is divided by r/21 + 16/56?
0
Let s(y) = y**2 + 2*y + 2. Suppose 0 = f - 2*f + 2*p - 3, 3*f = -3*p. Let v be s(f). What is the remainder when (v - -2 - (16 - 15)) + 188 is divided by 32?
30
Suppose 89*q - 87*q - 304 = 0. Let a = q - -20. Calculate the remainder when a is divided by 11.
7
Suppose -u + 18 + 2540 = 4*q, 1294 = 2*q + 3*u. Calculate the remainder when q is divided by 71.
70
Suppose -3*d + 1151 = 5*c, -149 + 1296 = 3*d + 4*c. What is the remainder when d is divided by 13?
0
Let p(q) = -8*q + 6. Suppose 2*x = -3*s + 52, 4*s - 75 = -156*x + 153*x. Calculate the remainder when p(-6) is divided by x.
3
Let c be 1 + -5 + -15 - -3. What is the remainder when 155 is divided by 6/c*-2 - (-1212)/48?
25
Suppose -10*x + 2162 = -2038. Suppose 0 = 6*c - c - x. Suppose 2*q + c = 4*w, -3*w + 3*q + 59 = -1. What is the remainder when w is divided by 12?
10
Let n = -79 + 83. Suppose -x - 96 = -n*x. Calculate the remainder when 124 is divided by x.
28
Suppose -16 = 4*i, 5*j - i = j + 40668. Suppose 74*b = 40*b + j. Calculate the remainder when b is divided by 19.
14
Let t(x) = x**2 - 12*x + 8. Suppose r + 133 = -s + 5*s, -111 = -3*s + 3*r. Calculate the remainder when s is divided by t(13).
11
Let x = -20 + 61. Let o = 39 - 15. What is the remainder when x is divided by o?
17
Let f be (-60)/18 - -3 - 79/(-3). Let l = 37 - f. What is the remainder when l is divided by 10?
1
Let g(z) = -z**2 - 9*z - 3. Let c(j) = 15*j + 52. Let y be c(-3). Calculate the remainder when 329/6 + (35/30)/y is divided by g(-6).
10
Suppose 17*u = 13*u + 76. Suppose -5*f - 306 = -826. Suppose 0 = -102*s + f*s - 32. What is the remainder when u is divided by s?
3
Let m(v) = 36*v - 9. Let k be m(2). Suppose 3*z + 135 = -5*b + 2*b, 3*b + 217 = -5*z. Let f = k + z. Calculate the remainder when 43 is divided by f.
21
Let b(z) = 6*z + 329. Calculate the remainder when 614 is divided by b(-51).
16
Suppose -2*q - 3172 = -x, -x + 28*q - 23*q + 3193 = 0. What is the remainder when x is divided by 102?
98
Calculate the remainder when 2620 is divided by 5632/96 - (-20)/(-12).
55
Suppose -z - 34*z + 1715 = 0. Calculate the remainder when 110 is divided by z + 1*(-5 + 3).
16
Let t(h) = -297*h - 1321. What is the remainder when 2785 is divided by t(-5)?
161
Suppose o - z = -3*o + 9, -5*o + 2*z + 12 = 0. Suppose -o*r - 5*q - 48 = -6*r, -26 = -2*r + 3*q. What is the remainder when 187 is divided by r?
5
Suppose 120*f + 55*f - 10231 + 1831 = 0. Suppose -j - 2*j = -5*c + 71, -3*j - 45 = -3*c. Calculate the remainder when f is divided by c.
9
Suppose 7*u + 215 = 719. Suppose 0 = -4*d + 2*c + u, 0 = -3*d - 3*c - c + 43. Calculate the remainder when d is divided by (-1)/((-1)/8) + 1.
8
Suppose 8*k + 369 = 10*k + m, 5*m - 25 = 0. Suppose 0 = 3*i + 11*f - 7*f - 307, -2*i + 3*f = -k. Calculate the remainder when i is divided by 37.
23
Let a = -3978 - -4083. Calculate the remainder when 394 is divided by a.
79
What is the remainder when (-6)/(-10) + 84690/225 is divided by 123?
8
Let x = 81 - 74. Let o(w) = 3*w + 54. What is the remainder when 89 is divided by o(x)?
14
Let k = -6694 - -11706. What is the remainder when k is divided by 85?
82
Let g(s) = -2*s**3 + s**2 - s - 11. Suppose 3 - 6 = r. Calculate the remainder when (-65)/r + 2/(-3) is divided by g(-2).
10
Suppose -39*t + 438 + 119 - 89 = 0. Calculate the remainder when 17 is divided by t.
5
Calculate the remainder when (5 - 164/32)/((-16)/46976) is divided by 43.
23
Suppose 5*z = 0, -3*i + 3*z + 469 = -476. Let g = -270 + i. Calculate the remainder when 87 is divided by g.
42
Suppose 107*w - 9078 = 1087. What is the remainder when w is divided by 13?
4
Let y = 397023 - 396999. Let q be ((0/1)/(-1))/1. Suppose 178 = -q*v + 2*v. What is the remainder when v is divided by y?
17
Let i(g) = -g**3 - 4*g**2 + 689*g + 2767. Let b be (4 - 3)*-1*6. What is the remain