5. Let p(i) = -2*i + 0*i**2 - 5*i**q - 2 - i**3 + 0*i**3. Calculate the remainder when 12 is divided by p(-5).
4
Suppose 4*o - 3*o - 5 = 0. Suppose -223*l + 327 = -788. What is the remainder when o is divided by l?
0
Suppose -62*k = -18*k - 107 - 245. Suppose 0 = 4*v + 3*s - 35, -2*v + 2*s + 10 = 6*s. Calculate the remainder when v is divided by k.
3
Suppose 498 - 138 = 8*f. Calculate the remainder when 133 is divided by f.
43
Suppose 0*r - 24794 = -46*r. What is the remainder when r is divided by 18?
17
Let n(x) = -15*x**3 + x**2 - 1. Suppose 4*i = -3*i + 1029. Calculate the remainder when i is divided by n(-1).
12
Let z(m) = -5*m + 56. What is the remainder when 96 is divided by z(6)?
18
Let v = 508 - 459. Calculate the remainder when 536 is divided by v.
46
Suppose -3*c - 202 = -5*j - 2*c, -c - 120 = -3*j. Calculate the remainder when (0 + (-3)/(-3))*j is divided by 3*(0 + -1) - -10.
6
Calculate the remainder when 244 is divided by 232/9 + -2 + (-120)/(-54).
10
Suppose c + 2*c = -a + 119, a - 119 = -2*c. What is the remainder when a is divided by 25?
19
Suppose -2*h - 2*n = -n - 6, 5*h - 5*n - 30 = 0. Let u = h + 84. Suppose 127 = 5*z - u. Calculate the remainder when z is divided by 15.
13
Suppose 4*j + 19 = r - j, -5*r = -j - 119. Let b = -1511 - -1518. What is the remainder when r is divided by b?
3
Suppose 4*b - 88 = 4*y, 0 = 3*b - y - 3*y - 70. Calculate the remainder when 63 is divided by b.
9
Let i(s) = -5*s**2 + 43*s + 34. Let n(c) = 3*c**2 + 7*c - 5. Suppose 4*p - 2*r = -28, 2*p + 3 + 1 = -4*r. Calculate the remainder when n(p) is divided by i(9).
13
Suppose -5*w + 6 = -4*m, 7 + 1 = 5*w - 2*m. Let c(t) = 27*t**2 - 5*t + 7. Calculate the remainder when c(w) is divided by 27.
24
Let m be 6/((-120)/(-1445)) - 1/4. Suppose 0 = -0*i + 6*i - m. Calculate the remainder when 107 is divided by i.
11
Let c(t) = -t**2 + 22*t - 91. Calculate the remainder when c(6) is divided by 4.
1
Let b(u) = -20*u**3 + 3*u**2 - 5*u - 8. Calculate the remainder when 64 is divided by b(-1).
4
What is the remainder when (550/3)/((-88)/(-132)) is divided by 46?
45
Let i(n) = 2*n**2 - 6*n - 6. Let x(d) = d. Let z be x(-3). Let p be i(z). Let g = p + 21. What is the remainder when g is divided by 18?
15
Suppose k = -5*i + i - 8, 0 = 3*k - 2*i - 46. What is the remainder when 58 is divided by k?
10
Suppose -355 = -5*k + 5*d, 2*d = -3*d - 10. Suppose -3*o + k = -4*u, 0 = -4*o - 4*u + u + 92. Calculate the remainder when 112 is divided by o.
20
Suppose 42*d = 2*l + 45*d - 443, 5*d = 3*l - 693. What is the remainder when l is divided by 38?
36
Let y be 26*3*10/30. Let i = y + -15. What is the remainder when i is divided by 5?
1
Let t = 99 - 58. Let f(m) = 12*m**2 - 2*m + 1. Let p(j) = j**3 + 9*j**2 + 10*j + 17. Let g be p(-8). What is the remainder when t is divided by f(g)?
8
Suppose 4*n = 20, 0*x - 5*x - n = -25. Calculate the remainder when 38 is divided by -2 - (x/(-1) + -6).
6
Let j(g) = -6*g**2 + 1 + g + 10*g**2 - g**2 - 4*g. Let q(t) = -3*t - 1. Let f be q(-1). Calculate the remainder when j(f) is divided by 4.
3
Let s = 714 - 512. What is the remainder when s is divided by 19?
12
Let j = 33 - 26. Calculate the remainder when j is divided by 3.
1
Suppose -5*l = -0*y - y + 18, 4*y = l + 72. Calculate the remainder when 261 is divided by y.
9
Let j(x) = 11*x - 5*x + 5*x - 4. Let i = -890 - -893. Calculate the remainder when j(i) is divided by 6.
5
Let x(j) = 3*j + 3. Let m = 25 - 43. Let i = -6 - m. What is the remainder when x(6) is divided by i?
9
Let f = -72 + 133. Calculate the remainder when f is divided by 19.
4
Suppose 15*z + 246 - 1296 = 0. Let c = 81 - z. What is the remainder when c is divided by 8?
3
Let i = 38 + -22. Let u = 220 + -160. What is the remainder when u is divided by i?
12
Let r(p) = 8*p**2 + 2*p**2 + p - p**3 - 2*p**2 - 4 + 26. Calculate the remainder when r(7) is divided by 16.
14
What is the remainder when 236 is divided by (8/12)/((-21)/(-630))?
16
Suppose 48*x - 58*x = -790. Calculate the remainder when 154 is divided by x.
75
Let w = -41 - 13. Calculate the remainder when 19 is divided by (-140)/(-18) + (-12)/w.
3
Suppose -16*m + 702 - 62 = 0. Calculate the remainder when 53 is divided by m.
13
Suppose -10 = 5*y - 45. Suppose 0 = -5*j + 112 - y. Calculate the remainder when 60 is divided by j.
18
What is the remainder when ((-370)/70 + 7)/((-4)/(-98)) is divided by 9?
6
Let a(f) = -3*f + 35. Let q be a(11). Suppose 0 = -2*t - 2*l + 160, -t + q*l = 2*t - 265. Calculate the remainder when t is divided by 22.
19
Let k(v) = 2*v - 25. Let z = -48 + 63. What is the remainder when 22 is divided by k(z)?
2
Suppose 4*q + 2*u - 136 = 24, 2*q - 92 = 5*u. Let l = 30 - 23. Calculate the remainder when q is divided by l.
6
Let m = -157 + 179. What is the remainder when 549 is divided by m?
21
Suppose 3*c - 424 = -z + 2*z, -5*z = 20. What is the remainder when 4478 is divided by c?
138
Suppose -2*r = -4*r - 3*i + 105, -4*r + 5*i = -243. Suppose 0 = -3*w + 6*w - r. What is the remainder when w is divided by 6?
1
Suppose -u + 6*u = 15. Let v(g) = 2*g**2 - 25*g - 17. What is the remainder when v(14) is divided by u?
1
Suppose 2*x + 33 = 5*f, 2*f = -x - 0*x - 30. Let p = 29 + x. Suppose 0 = -p*t + 17 + 103. What is the remainder when t is divided by 13?
11
Let c be -3 + 5 - (1 - -4). Let i(m) = -m**3 - 2*m**2 + 2*m + 1. Suppose -36 = -3*p - p. What is the remainder when p is divided by i(c)?
1
Let v = 1173 + -1137. Let l(b) = -b**2 + 9*b - 1. Calculate the remainder when v is divided by l(4).
17
Suppose 3*p - 5*a - 15 = -p, -p + 35 = 5*a. What is the remainder when 13*(-12)/(-9) - (-10)/6 is divided by p?
9
Let p(s) be the first derivative of 11*s - 1/2*s**2 + 6 + 1/3*s**3. Calculate the remainder when p(-6) is divided by 27.
26
Let v(j) be the second derivative of j**4/6 - j**3/2 - 3*j**2/2 + j. Suppose 0 = 4*w - 54 + 10. What is the remainder when w is divided by v(3)?
5
Let v(l) = -l**3 - 8*l**2 + l - 32. What is the remainder when v(-10) is divided by 41?
35
Let c = -2 - 42. Let b = c - -132. What is the remainder when b is divided by 13?
10
Let c(h) = h + 12. Let s = -27 + 20. Calculate the remainder when (-18)/(-21)*(1 + 6) is divided by c(s).
1
Let a(s) = s**3 - 5*s**2 - 2*s + 2. Let i = 22 + -16. Calculate the remainder when 51 is divided by a(i).
25
What is the remainder when 25 is divided by (0 - -11 - -58)/3?
2
Let z(k) = -k**2 + 6*k - 4. Let x = 22 - 18. What is the remainder when 8 is divided by z(x)?
0
Let l(c) be the third derivative of c**4/6 + c**3 - 8*c**2. Let d be l(-4). Let j = d - -18. Calculate the remainder when 28 is divided by j.
4
Let c = 705 + -653. What is the remainder when 77 is divided by c?
25
Let d = 145 - 97. What is the remainder when 48 is divided by (52/6)/(32/d)?
9
Suppose 0 = 13*n - 39*n + 5304. What is the remainder when n is divided by 5?
4
Let q = -253 - -267. What is the remainder when 223 is divided by q?
13
Suppose 3*f = 5*f + 94. Let r = f - -81. Suppose 3*j - 3*s - 667 = -2*j, 3*j - 397 = 5*s. Calculate the remainder when j is divided by r.
32
Suppose -o + 43 = y + 3*y, -2*y = -5*o - 49. Let i(z) = -z**2 + 13*z - 8. What is the remainder when i(10) is divided by y?
10
Let z = -54 - -77. Let r(c) = c**3 + 10*c**2 + 8*c - 11. Let j be r(-9). What is the remainder when (-30)/(-1*j/(-6)) is divided by z?
21
Let c(a) = -a**3 - 10*a**2 - 7*a + 10. Let l be c(-8). Let d = -61 - l. Calculate the remainder when 3 is divided by d.
0
Let q(d) = -d + 18. Suppose -4*g + 8 = 4*a, 2*a - 2*g = -2*a + 38. What is the remainder when 0 + (40 - -1 - -2) is divided by q(a)?
10
Let x(m) = -m**2 + 26*m - 15. Let d be x(25). Suppose -d*g + 24 = -2*g. Calculate the remainder when g is divided by 1.
0
Let c(i) = 16*i**3 - 8*i**2 - 4*i - 18. Let b(q) = -5*q**3 + 3*q**2 + q + 6. Let x(n) = -10*b(n) - 3*c(n). What is the remainder when x(4) is divided by 18?
16
Let f = -26 - -24. What is the remainder when 26 is divided by (3 - 2) + (1 - 11)/f?
2
Suppose -145 = -10*u + 555. What is the remainder when 2028 is divided by u?
68
Let p(q) = q**2 - 10*q + 31. Let y(m) = m + 1. Let a(x) = p(x) - 4*y(x). What is the remainder when 52 is divided by a(13)?
10
Let d = -14 + 39. Let w = 56 + -60. What is the remainder when d is divided by 