3.
67
Let f be (-7)/(168/6) + 41/4. Calculate the remainder when 38 is divided by 3 + (1/(-3))/(f/(-270)).
2
Let s(j) = -137*j - 1088. Calculate the remainder when (-6)/14 + (-696)/(-56) is divided by s(-8).
4
Suppose -w - 5*p + 4*p = -542, 1626 = 3*w + p. Suppose 0 = -12*u + w + 34. Suppose 21 = -r + 4*r. What is the remainder when u is divided by r?
6
Let i = 1138 - 619. Calculate the remainder when i is divided by 40.
39
Suppose 4*g + 366 = 2*o, 2*o = g - 0*g + 99. Let w = -46 - g. Suppose -4*x - 66 = -7*x. Calculate the remainder when w is divided by x.
21
Let p be 3*(4/(-3))/(-1). Let a(i) = -27 + 10 + 12 + 10 - i + 4. Calculate the remainder when 7 is divided by a(p).
2
Let j(g) = g**3 + 11*g**2 + 11*g + 38. Let i be j(-5). Suppose 0 = -136*p + i*p + 57. Calculate the remainder when p is divided by 11.
8
Let y(z) = -z**2 - 107*z - 305. What is the remainder when y(-43) is divided by 29?
11
Let c(i) = i**3 + 6*i**2 - 6*i + 2. Let g be c(-5). Suppose 5*r - 125 = 5*d, -2*r - 2*d - 15 = -g. What is the remainder when 27 is divided by r?
4
Calculate the remainder when 86/731 - 6012/(-51) is divided by 11.
8
Suppose -2025 = -1867*m + 1822*m. Calculate the remainder when 1606 is divided by m.
31
Let m = -112 - -63. What is the remainder when (-1)/(-7) - 9891/m is divided by 12?
10
Suppose 0 = p + 2*o - 27, p - 45 = -5*o - 3*o. Let s(y) = y**3 + 2*y**2 - 6*y + 13. Calculate the remainder when s(4) is divided by p.
1
Let i(g) = g**3 + 21*g**2 + 14*g - 39. Let j be i(-20). Suppose -3*m + 108 = 4*p - 5*m, -3*p + m = -j. Calculate the remainder when p is divided by 14.
13
Suppose -4*r + 1642 = 10*q, q - 5*r = -3*q + 703. What is the remainder when 6512 is divided by q?
166
Let z = 7883 - 7673. What is the remainder when z is divided by 31?
24
Suppose -5*u = -z - 2260, -51*u - 2260 = -56*u + 3*z. What is the remainder when u is divided by 80?
52
Let c(l) = -2 - l + l**2 - 9*l**2 + 14 + l**2. Let q(z) = 16*z**2 + 2*z - 25. Let u(n) = 9*c(n) + 4*q(n). What is the remainder when 145 is divided by u(-5)?
31
Suppose 5*a - 3*k = 158, -3*a - 16*k = -14*k - 110. Calculate the remainder when 254 is divided by a.
16
Suppose -10*n - 48 = -3258. Calculate the remainder when n is divided by 55.
46
Let s = 30 - 27. Suppose s*b + 5*k - 20 = 0, 2*k + 70 = 3*b + b. What is the remainder when 76 - ((-20)/(-1))/5 is divided by b?
12
Let q = 213 - 146. Suppose 1051 = 8*x + q. Suppose -124 = z - 5*z. What is the remainder when x is divided by z?
30
Let y(h) = -38*h + 112*h - 34 - 32*h - 40*h. What is the remainder when 64 is divided by y(22)?
4
Suppose 409 = 15*z - 3371. Suppose 10*c = -4*c + z. Calculate the remainder when (1 - (2 - -2))*-11 is divided by c.
15
Let r = 370 - 364. Calculate the remainder when 47 is divided by (r/45)/1 + 416/30.
5
Let l = 683 + 205. Suppose 0 = -9*a + 12*a - l. What is the remainder when a is divided by 30?
26
Let j = 608 + -468. What is the remainder when j is divided by 36?
32
Let z = -766 - 64. What is the remainder when (z/(-6 + 11))/(-2) is divided by 21?
20
Let f(n) = -3*n**2 - 3*n + 3. Let y be f(3). Let l = y - -95. Calculate the remainder when l is divided by (-5)/(-15)*(3 + 36).
10
Let y be 2/17 + 6386/(-527). Calculate the remainder when 206 is divided by (-1 + y)*1*-4.
50
Let f = -38 - -40. Let i be (-33)/6 - f/(-4). Let s = 35 + i. What is the remainder when 58 is divided by s?
28
Suppose 22*z - 27*z - 330 = -3*l, -z + 3 = 0. What is the remainder when 1494 is divided by l?
114
Let w(x) = 89*x + 26 - x**2 - 41*x - 30*x. What is the remainder when -45*((-4)/(-10) + -1) is divided by w(19)?
6
Suppose 5*n + 90 = 10. Let x be -14 + (n/(-4))/4 + 2. What is the remainder when 26 is divided by (6/(-4))/((-1)/2) - x?
12
Let o = -221 - -330. What is the remainder when 215 is divided by o?
106
Let r = -1032 - -1102. Calculate the remainder when 7208 is divided by r.
68
Let w(b) = 8*b**2 + b**3 - 5*b**2 - 2*b**2. Let j be w(0). Suppose 0 = c - 2*a - 12, -a + 12 = 4*c - j*a. Calculate the remainder when 5 is divided by c.
1
Let a(c) = 6*c**2 + 11*c - 7. What is the remainder when a(7) is divided by (1 - 55/66) + (-886)/(-12)?
68
Let i = 6448 + -6071. What is the remainder when 390 is divided by i?
13
Suppose -50*x + 3679 = -2221. Calculate the remainder when x is divided by (-12)/(2 + 22/(-10)).
58
Let c(n) = n**3 + 10*n**2 - 6*n - 7. Let b be c(-10). Suppose 5*a = -5*y + 280, -y - a = a - b. What is the remainder when 117 is divided by y?
58
Let m(f) = 7*f**2 + 5*f + 5. Let c be m(7). Let j = 398 - c. Calculate the remainder when 582 is divided by j.
12
Let n be (2450/21)/(-10) - (-1)/(-3). Let c(l) = -l**2 - 13*l - 4. Let r be c(n). Let x(s) = s**2 - 4. What is the remainder when x(r) is divided by 8?
4
Suppose 5*v - 126 = -13*v. Suppose 2*b = -2*c + 16, 2*c - v = 4*b - 15. Calculate the remainder when 20 is divided by c.
0
Let i be ((-18)/(-15))/(10/(-25)). Let p(y) = -73*y - 122. What is the remainder when p(i) is divided by 23?
5
Let n = -557 + 733. Calculate the remainder when n is divided by 169.
7
Let q(m) = 3*m - 17. Suppose w = -8 + 15. Let v be q(w). What is the remainder when 17 is divided by v - 2/(-12) - (-1)/(-6)?
1
Suppose -91 - 61 = -3*a - 4*f, 0 = -a + 4*f + 40. Suppose -1162*k + 1163*k = 4. What is the remainder when a is divided by k?
0
Let c = 2361 - 1796. What is the remainder when c is divided by 32?
21
Suppose 36*j - 5*q + 2107 = 34*j, -j = 4*q + 1034. Let k = -999 - j. Suppose -4*s - 80 = -9*s. Calculate the remainder when k is divided by s.
15
Suppose 102*x - 19*x - 8549 = 0. Calculate the remainder when 2162 is divided by x.
102
Let b(p) = -p**3 - 25*p**2 + 26*p + 61. Let n = -121 + 95. Suppose -3*s = 3*r - 57, -13 = -5*s + 3*r + 98. Calculate the remainder when b(n) is divided by s.
19
Let z = 208 - 118. Calculate the remainder when z is divided by (16/108)/((-10)/(-135)).
0
Let w(b) = 18*b - 4. Calculate the remainder when (-60840)/1248*8/10*(-3 + -2) is divided by w(3).
45
What is the remainder when 3 + -17 - (-59994)/18 is divided by 123?
121
Let w = -10586 - -11485. Calculate the remainder when 2708 is divided by w.
11
Let c = 358 - 233. Calculate the remainder when c is divided by 24 - (-81)/(-9) - -49.
61
Let c(m) = -3*m**2 - 158*m - 45. What is the remainder when c(-51) is divided by 62?
24
Suppose -2*f + 4*t = -326, -106 = -2*f - 3*t + 185. Suppose 4*d = d + f. What is the remainder when 150 is divided by d?
48
Suppose 3*u - 49 = 26. Let d(n) = -27*n + 22*n + 11 + 12. What is the remainder when d(-15) is divided by u?
23
Let g be (42/105)/((-2)/10) + -99. What is the remainder when 1*(-1)/4*(g - -9) is divided by 6?
5
Let v(t) = -31 + 3*t + 171 - 4*t. Calculate the remainder when 289 is divided by v(46).
7
Let f = -133146 - -133163. Suppose -4*j + 260 = -4*o, 0 = 5*j + 5*o - 282 - 3. Calculate the remainder when j is divided by f.
10
Let u(r) = -10*r + 938. What is the remainder when u(15) is divided by 200?
188
Let i = -430 - -278. Let s = i + 207. Calculate the remainder when s is divided by 16/(-6)*(-18)/4.
7
Suppose 22277 = -23*u + 59*u - 34999. What is the remainder when u is divided by 145?
141
Let x = 11351 - 11207. What is the remainder when x is divided by 22?
12
Suppose 0 = -5*p + 84*p - 7*p - 3888. What is the remainder when 15281 is divided by p?
53
Suppose 5*d - 5*r = -0*r, -4*r + 9 = -d. Suppose 4 = -5*s - 2*a, -1 + 0 = 5*s + d*a. Calculate the remainder when ((-5)/10)/(s/332) is divided by 12.
11
Let h(a) = -4*a - 42. Let g be h(-11). Suppose 3*b - 104 = -g*f + 43, 2*b + 339 = 5*f. Calculate the remainder when f is divided by 18.
15
Suppose 0 = 2*z - 5*l - 1597, 0 = -0*z + z - 5*l - 786. Calculate the remainder when z is divided by -4 + 250/4 + (-57)/(-38) + -2.
57
Let r = -7 + 11. Suppose 55 = 4*c - u, 0 = -9*c + r*c - 2*u + 85. Suppose 191*b = 6777 - 2766. Calculate the remainder when b is divided by c.
6
Suppose 0 = -2*j - 26 + 36, 2*q + 64 = 2*j. Calculate the remainder when 226 is divided by (q/(-2) - 13) + 57/2.
23
Suppose -74*y + 36 = -65*y. Suppose 4*s = -4*t + 56, 5*t = 6*s - y*s + 42. Calculate the remainder when 427 is divided by t.
7
Let b be (-2)/(47/(-15) - -3). Let u = 17 - b. Suppose -m = -1, -4*d + 68 = u*m - 110. What is the remainder when 130 is divided by d?
42
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