. Calculate the remainder when j is divided by 27.
12
Suppose 0 = -2*a + 2 - 0. Let x(q) = q**3 - 11*q**2 - 3*q - 16. Let f be x(11). What is the remainder when (-63)/f + (-10)/35 is divided by a?
0
Let a(g) = -2*g + 45. Let w be a(18). Suppose -w*r = -r - 80. Suppose -3*n - 4 = -103. Calculate the remainder when n is divided by r.
3
Let r(g) = g**3 - 9*g**2 + 29*g - 10. Suppose 0 = -3*i - 4*x + 46 + 94, 20 = 4*x. Suppose -3*q + i = 2*q. Calculate the remainder when r(5) is divided by q.
3
Let g = 24 - 21. Suppose -2*i + 0*z - 10 = 5*z, 0 = 5*i + g*z + 6. Suppose i*a + a + 44 = l, -3*l + 140 = -5*a. Calculate the remainder when l is divided by 7.
5
Suppose 364*s = 366*s - 144. Let a(x) = -282*x**3 + x**2 - 4*x - 3. Calculate the remainder when a(-1) is divided by s.
68
Let d(y) = 133*y**2 - 125*y + 247. Calculate the remainder when 1592 is divided by d(2).
5
Let j be -2*(-71)/2*3. Let g = j - 153. What is the remainder when g is divided by 22?
16
Suppose x - 2 = 0, 2*x - 99 = -5*y - 0*x. Suppose -y = 10*n - 109. What is the remainder when 168/2*(n/6)/3 is divided by 15?
12
Let q(o) = -28*o**3 + 481*o**2 - 79*o - 3. What is the remainder when q(17) is divided by 160/6 - (-2)/(-3)?
21
Let d be (65*28 - 2)/2. Let f = 983 - d. Calculate the remainder when f is divided by 17.
6
Suppose -5*k + 30 = -5. Let w = 3666 + -3663. Calculate the remainder when k is divided by w.
1
Let n(k) = -k**2 - 27*k - 58. Calculate the remainder when 1309 is divided by n(-20).
79
Calculate the remainder when 292 is divided by (-2 + 327)*((-448)/(-70) + -6).
32
Suppose 2*d = -3*a + 74, a - 26 = 3*d - 5*d. What is the remainder when 3/(-6) - (-540)/a is divided by 14?
8
Let z be -3 - -6 - (-39)/3. Let q(g) = z*g**3 - 11 + 9*g**3 - 24*g**3 + 2*g + 6*g**2. Calculate the remainder when 116 is divided by q(-4).
12
Let n(x) = x**2 - 2*x + 10. Calculate the remainder when (26/52)/(3/804) is divided by n(6).
32
Suppose -5*s = -3*s - p - 491, -1244 = -5*s - 3*p. Let w = 1653 + -1622. Calculate the remainder when s is divided by w.
30
Suppose -30 = -4*i + 5*z, i + 0*z - 2 = 4*z. Suppose 0*n = -3*n + 2*a + 276, 0 = 2*n + a - 191. Let s = n - 92. What is the remainder when i is divided by s?
0
Let j(k) = 1 + k**3 + 0*k**2 + 4*k - 5*k - 2*k**2 + 0*k**3. Let f be j(1). Let m = 5 - f. Calculate the remainder when m is divided by 4.
2
Let c = -204 - -168. Let y = c + 60. What is the remainder when 59 is divided by y?
11
Let w(o) = 121 - 114 - 53 - 53*o. What is the remainder when w(-3) is divided by 6?
5
Let w = 20721 + -20664. What is the remainder when 1358 is divided by w?
47
Let d = -16209 - -16408. What is the remainder when d is divided by 93?
13
What is the remainder when 1234 is divided by ((-456)/36)/(-1 - 3/(-9))?
18
Calculate the remainder when 167 is divided by (-48)/(-42) + (-720)/(-56).
13
Suppose 66*g - 56*g - 370 = 0. Suppose 0 = 4*m + 5*c - g, -c - 3 + 12 = m. Calculate the remainder when 52 is divided by m.
4
Calculate the remainder when (37 + -15 + -601)/(-1) is divided by 3.
0
Suppose 2*b = -0*b. Let c = 21 + -13. Suppose -c*t + 3*t + 305 = b. What is the remainder when t is divided by 5?
1
Suppose -41*z = -17*z - 2544. Calculate the remainder when 242 is divided by z.
30
Let z(p) = p**3 - 22*p**2 - 17*p - 31. Let f be 1238/54 - 44/(-594). What is the remainder when z(f) is divided by 28?
23
Let d(a) = 7*a - 6*a - 8*a + a**3 + a**2 + 27. What is the remainder when 131 is divided by d(0)?
23
Let o(n) = -2 - 4317*n + 7 + 4282*n + 4. Calculate the remainder when o(-1) is divided by 18.
8
Suppose 1257*s - 1258*s = -128. Calculate the remainder when s is divided by 46.
36
Calculate the remainder when (-623)/(-89) + (2 - -300) is divided by 156.
153
Let r = -45386 - -45397. Calculate the remainder when 702 is divided by r.
9
Suppose -t - 3*t = -2004. Let v = t + -156. Suppose 6*p = 3*p + v. What is the remainder when p is divided by 29?
28
Suppose 1961*c = 2110*c - 32184. What is the remainder when c is divided by 29?
13
Let z(s) be the second derivative of s**4/12 + 25*s**3/6 + 67*s**2 + 314*s. What is the remainder when 19 is divided by z(-7)?
3
Suppose t + i = 26, -3*i + i - 102 = -5*t. What is the remainder when 36/(-198) - (-7924)/t is divided by 26?
22
Let f be 0 + -11 + 39 - (-4 + -1). Suppose -f*v + 18893 = 4868. What is the remainder when v is divided by 39?
35
Suppose 8 + 42 = -5*t. Let h be 4626/(-90) + ((-6)/t)/(-1). Let f = h - -56. What is the remainder when 26 is divided by f?
2
Suppose 392*l - 387*l = 15. Suppose -4*z + 5 = -3*t, -1 - 6 = l*t - 5*z. Let m(q) = -q + 7. What is the remainder when m(5) is divided by t?
0
Let x be 42/399 - 4/38. Suppose -4*d - 5*w = -11, x = d - 2*w - 2*w - 29. Calculate the remainder when d/2*88/6 is divided by 34.
32
Let o = -4030 - -4100. What is the remainder when o is divided by 46?
24
Let z be 1/(3 + (-16)/5). Let u(t) = 2*t**2 + 8*t + 7. Let f = 553 - 542. What is the remainder when u(z) is divided by f?
6
Let a be 19/4 - ((-14)/(-8) - 2). Let v = a + 0. Suppose v*p + 20 = 90. What is the remainder when 39 is divided by p?
11
Suppose 431 = 14*g + 137. Let f = 5 + 6. Calculate the remainder when g is divided by f.
10
Let q(i) = -59*i - 3. Let j be q(1). Suppose -b = 44 + 9. Let l = b - j. What is the remainder when 33 is divided by l?
6
Calculate the remainder when ((-28)/(-70))/(((-2)/(-180))/(615/10)) is divided by 8.
6
Let o = 9254 - 9212. What is the remainder when 5625 is divided by o?
39
Suppose -2*u - 35 = -g, -4*g + 3*u + 71 + 49 = 0. What is the remainder when 32 is divided by ((-9)/g)/(1 - (-56)/(-54))?
5
Let v(j) = 302*j**2 - 2379*j - 4. What is the remainder when 1214 is divided by v(8)?
46
Let n(f) = -f**2 + 72*f - 703. Suppose 81 = -5*l + 8*l. What is the remainder when n(57) is divided by l?
17
Let i(y) = 3*y - 2. Let p be i(-8). Let o = p - -61. What is the remainder when 277 is divided by o?
32
Suppose -4*a + 30 = 6*a. Suppose 5*i - a*i + 4*s = 30, -29 = -2*i - 3*s. Suppose -i*g = -10*g - 69. Calculate the remainder when g is divided by 6.
5
Suppose -2476 = -5*u + x, -4*u - 3*x - 24 + 2001 = 0. Calculate the remainder when u is divided by 61.
7
What is the remainder when (3/(18/872))/((-43)/(-3225)) is divided by 19?
13
Suppose 81953 - 370934 = -139*o. What is the remainder when o is divided by 6?
3
Suppose -t - 2*r + 119 = 0, 575 = -19*t + 23*t - 3*r. Calculate the remainder when 11369 is divided by t.
135
Suppose 3534 = 17*w + 2*s, -w = s + 4*s - 203. What is the remainder when 827 is divided by w?
203
Suppose 179*n - 173*n - 66 = 0. Calculate the remainder when 162 is divided by n.
8
Suppose 18*n - 16*n = 10. Suppose -n*m + 7 = -h - 1, -52 = -5*h + 2*m. Calculate the remainder when 71 is divided by h.
11
Calculate the remainder when 654 is divided by -78*((-18)/(-48) - ((-244)/(-96))/1).
147
Let b(w) = 3*w**3 - 14*w**2 + 33*w - 3. Calculate the remainder when 176 is divided by b(4).
79
Let g = 36 - 60. Let r = -15 - g. Suppose -30 = -11*i + r*i. Calculate the remainder when 44 is divided by i.
14
Let i = -185 - -210. Let u = 120 - i. Calculate the remainder when u is divided by 48.
47
Suppose p + 86 = 5*c + 5*p, p - 89 = -5*c. Suppose -22*z + 5*z = -843 + 112. What is the remainder when z is divided by c?
7
Let x be (4 + -2)*(-1)/(4 + -5). Calculate the remainder when 673 is divided by 3 - ((-6)/9)/(x/66).
23
Calculate the remainder when (2/6)/((-6)/(-10 - 35594)) is divided by 22.
20
Let i = -6410 + 6426. Calculate the remainder when 3309 is divided by i.
13
Suppose d - 178 - 197 = 0. Let t(a) = -3*a**2 - 164*a - 101. Calculate the remainder when d is divided by t(-54).
4
Let l = -165 + 274. What is the remainder when l - (1 + -7 + 0) is divided by 30?
25
Let u(k) = 3*k + 74. Let i be u(-31). What is the remainder when (3/1 - (i - -19)) + 107 is divided by 28?
26
Suppose 5*g + 4*p = 6904, -g + 3*p + 1379 = 2*p. Suppose -5*s + g = 15*s. What is the remainder when s is divided by 9?
6
Let n(i) = i**2 + 3*i - 254. What is the remainder when 253 is divided by n(15)?
13
Suppose 2599*f - 894 = 2593*f. Calculate the remainder when 857 is divided by f.
112
Suppose m - z + 9 = 0, 4*z = 5*m - 4*m + 18. Let o(i) = i**3 + 10*i**2 + 18*i + 5. Calculate the remainder when o(m) is divided by 16.
9
Let d = -43 