t p(f) = -f**2 - 6*f + 24. Let c be p(-8). Suppose n - v - 108 = 0, -c*n - 2*v = -3*n - 526. Calculate the remainder when n is divided by (-2)/7 - 254/(-7).
34
Let v(t) = -t + 6. Let x be 46*((-5)/(-6) + (-13)/39). Suppose 0 = x*f - 18*f - 5. Calculate the remainder when v(5) is divided by f.
0
Suppose -w - 2 = h - 18, -3*w = 5*h - 70. What is the remainder when 1284 is divided by h?
8
Calculate the remainder when 7331 is divided by 204 + (-6)/2 + 121 + -129.
190
Suppose -2*n - 27*p + 31*p = -662, -1669 = -5*n - 4*p. Let i = n - 327. Calculate the remainder when 17 is divided by i.
5
Let c = 1170 + -1658. Let w = c + 544. What is the remainder when w is divided by 21?
14
Let g(a) = 141*a**2 + 8*a + 2. Let b be g(-1). Calculate the remainder when (1/(-3))/((-3)/b) is divided by 11.
4
Let i(x) = -2*x**3 - 17*x**2 + x - 12. Let k be i(-9). Let g = k - 53. Calculate the remainder when 13 is divided by g.
6
Let y(q) = -4*q**3 + q**2 + 10*q + 13. Let j be ((-6)/15)/((-10)/(-50)). Let f(c) = -c**2 + 8*c - 7. Calculate the remainder when y(j) is divided by f(6).
4
What is the remainder when 96/(-816) + 207282/442 - 4/(-26) is divided by 180?
109
Let c(j) = 6*j + 11. Let p be c(-2). Let z = p - -1. Suppose 3*u = -u - 5*t + 33, z = 5*u - 2*t. What is the remainder when 9 is divided by u?
1
Let z(m) = 2*m**3 - 3*m**2 - 4*m + 30. Let d = 33 - 9. What is the remainder when z(3) is divided by d?
21
Let x = -36 + 135. Let o = x + -59. Calculate the remainder when 85 is divided by o.
5
Suppose -5*c = 0, 3*w + 104 = 2*c - 82. Calculate the remainder when -7 + 15/(-10)*w is divided by 73.
13
Suppose -4*x + 0*x + 148 = 0. Suppose -4611 = -4*u - a, 2*u + a - 1512 = 795. Calculate the remainder when x is divided by 10/4*(u/(-40))/(-9).
5
Calculate the remainder when 555 is divided by (11/3 - 60/15)/((-3)/378).
9
Let z be (6/(-5))/((-3)/40). Let g = 25 - z. Suppose 2*w = -29*i + 26*i + 2, -4*w = -5*i - 114. Calculate the remainder when w is divided by g.
7
Let s be (6/(-4))/(3/(-64)). Suppose -3*t = -109 - s. Calculate the remainder when t is divided by (12716/(-1870))/(-2 - (-8)/5).
13
Suppose -64*h + 972669 = 357949. What is the remainder when h is divided by 310?
305
Let v be 2 - -2 - -2 - -4. Let y be 3 + (-1)/(2 + (-22)/v). Suppose -y*p + 6*p = -166. Calculate the remainder when p is divided by 22.
17
Suppose -158 = -27*p + 41 - 10. Calculate the remainder when 2649 is divided by p.
3
Suppose -3*w = 15*w + 90. Calculate the remainder when 27 is divided by 4 + 10 - 3 - w.
11
What is the remainder when 2925 is divided by 2*1 - (69552/(-21))/16?
208
Let r be 0/(-24) + (-4)/(-1 - 0). Suppose r*d - 10 - 10 = 0. What is the remainder when 22 is divided by d?
2
Let z(j) = 4*j**2 - 10*j - 4. Let d be z(3). Suppose 2*m = 3*m + 3*r - 50, -d*m + 91 = 3*r. What is the remainder when 54 is divided by m?
13
Suppose -6*x = -2*k - 7*x + 182, -k = -5*x - 102. What is the remainder when 733 is divided by k?
89
Let w be (-36)/48 + (-3651)/12. Let g = -231 - w. What is the remainder when g is divided by 11?
8
Let u be (-644)/2 - (-5 + 6). Let c = u - -566. Suppose -5*t + 22 = -c. What is the remainder when t is divided by 27?
26
Suppose 0 = 4*m - 3*m - 174 - 122. What is the remainder when 895 is divided by m?
7
Let a = 174 - 61. Suppose -16 - 97 = -2*c + 1. What is the remainder when a is divided by c?
56
Let d(w) = -w**3 - 5*w**2 + w + 3. Let r be d(-5). Suppose 5*v = -2*c + 42, 156*v - 152*v = c - 8. What is the remainder when -1*2/r*29 is divided by c?
13
Let y(l) = 350*l**2 + 314*l + 1242. Calculate the remainder when y(-4) is divided by 127.
125
Suppose u = z - 141, 4*z - 52*u + 56*u - 556 = 0. What is the remainder when z is divided by 42?
14
What is the remainder when (-12157)/(-5) + (-688)/1720 is divided by 25?
6
Calculate the remainder when 1946 is divided by (29/2 - -2)*(10 - 8).
32
Suppose 2*g = -2*g + 8. What is the remainder when -13 + 9 - (76/(-342) - 428/18) is divided by g?
0
Suppose -p + 23 = -43. What is the remainder when p is divided by ((-1470)/(-147))/((-5)/(-2))?
2
Let m be 6/4*(-8610)/63. Let y = 210 + m. Calculate the remainder when (-3)/(-2) + 217/14 is divided by y.
2
Let b = 1726 + -1517. What is the remainder when 810 is divided by b?
183
Suppose -203*d + 13929 = -14288. Let g = -41 + 76. What is the remainder when d is divided by g?
34
Suppose 0 = -4*s - s + 25. What is the remainder when ((-242)/22)/((18/4)/(-9)) is divided by s?
2
Suppose 4*x + 16 - 4 = 2*z, -3*z = 4*x - 18. What is the remainder when 36 is divided by (-6 - (-1309)/42) + z/(-36)?
11
Suppose -3*p + 5*s = 1401, 4*p + s = 5*s - 1860. Let w = p + 710. Calculate the remainder when w is divided by 28.
24
Let i(v) = 4*v**2 - 2*v. Suppose -2*g = -w, -3*g - 2*w + 5 = -w. Let u(p) = -p + 2. Let c be u(g). What is the remainder when 8 is divided by i(c)?
0
Calculate the remainder when (24/(-10) - (-2432)/(-320))*(-69)/5 is divided by 19.
5
Let j = -60 - -118. Let y(w) = 1198*w + 21569. Calculate the remainder when j is divided by y(-18).
3
Let x be (-2)/(-4) + 5383/14. Suppose -4*u = 7*u - x. Suppose 4*p - 2*k - 688 = 0, -p + 2*k + 181 = 6*k. Calculate the remainder when p is divided by u.
33
Suppose 17 = 8*n - 7. Suppose -2*s - 27 = -n*s - 2*p, 4*s = -5*p + 93. Suppose 0 = -h - 4*h + 140. Calculate the remainder when h is divided by s.
11
Let b = -2585 + 2688. Calculate the remainder when 121 is divided by b.
18
Let m(d) = 2*d + 15. Let t be m(-5). Suppose 4*o = -p + 316, 2*o - 179 = -t*p - 39. What is the remainder when o is divided by 17?
12
Let b(v) = 38*v**3 + v**2 - 10*v + 15. Let c be b(2). Let d = c - 289. Calculate the remainder when d is divided by 7.
0
Suppose 4154 + 4361 = 131*u. Suppose 3*y - 287 = -2*d, -4*d + 529 = -y - 24. Let v = d - u. What is the remainder when v is divided by 16?
10
Let r = 2741 + -1823. Calculate the remainder when r is divided by 181.
13
Let g be (-31)/(-8) - 50/(-400). Calculate the remainder when (-62304)/(-440) - g/(-10) is divided by 57.
28
Let l(d) = 2*d**2 - 2*d - 6. Calculate the remainder when l(-4) is divided by (1 + 0)*11/44*24.
4
Let f(i) = 30*i + 574. Let k be f(-19). Suppose 0 = 3*v + k*q - 44, 3*q = 4*v + 5*q - 42. Calculate the remainder when 13/3*1*3 is divided by v.
5
Suppose -4*a - 5*x = -6320, -950 + 5690 = 3*a + 4*x. What is the remainder when a is divided by 144?
140
Let c(x) = -2*x**3 + 9*x**2 - 2*x - 22. Let b(u) = u**2 + 1. Let w(i) = 6*b(i) + c(i). Calculate the remainder when 41 is divided by w(7).
3
Suppose 9*d - 14*d + 490 = 0. Let i = 103 - d. Let c(m) = -3*m - 3. Calculate the remainder when c(-5) is divided by i.
2
Suppose -5*t + 307 = 232. Let j(m) = m**2 + 5*m + 6. Let h be j(-6). Suppose i + i = h. What is the remainder when t is divided by i?
3
Let k(a) = -a**3 + 73*a**2 + 65*a + 687. Suppose -n + 4*z + 85 = 0, n = -0*n + 3*z + 89. Calculate the remainder when n is divided by k(74).
17
Let u = -555 - -800. Calculate the remainder when u is divided by ((-112)/(-12) - 9)*57.
17
Suppose -2*a + 2*r + r = -715, 2*a - 2*r - 718 = 0. Let y = a - -17. What is the remainder when y is divided by 97?
88
Let y be 8/(-6)*(1 + 28/(-1)). Suppose -13 = -l + y. Suppose 0*t - t = -l. What is the remainder when t is divided by 13?
10
Suppose -3*m - m + 70 = s, -m = -3*s - 24. Suppose -n + 32 - m = 5*g, -2*n + 56 = 3*g. What is the remainder when 163 is divided by n?
27
What is the remainder when ((-11)/5)/(-11) + (-28)/5*-28 is divided by 79?
78
Let w = -17182 - -17208. What is the remainder when w is divided by ((-21)/35)/((-1)/30)?
8
Let q = -24249 - -24290. What is the remainder when (-11)/(1/20*-2) is divided by q?
28
What is the remainder when 362 is divided by 192/4128 + 11348/86?
98
Suppose -k = 2*k - 69. Let p be (-9)/(-9 + 18)*(44/4 - 2). Let m = k - p. What is the remainder when m is divided by 18?
14
Suppose -46 = -2*z + 6. Let s = -22 + z. Let i = 17 + s. Calculate the remainder when 81 is divided by i.
18
Let l(h) = 18*h - 42. Let t = -371 - -374. Let m(w) = 3*w**2 + 3*w + 6. Calculate the remainder when m(-4) is divided by l(t).
6
Let h = 173 - -420. Calculate the remainder when h is divided by 102.
83
Let z = 630 + -338. Suppose -3*r = j - 25, j - r - 61 + 4 = 0. What is the remainder when z is divided by j?
47
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