 the remainder when p(2) is divided by i?
16
Let g = 186 + -98. Let p = g - 54. What is the remainder when p is divided by 18?
16
Suppose -3*d = 4*k - 7, -5*d + 2*k = k - 4. Suppose -t - 4*g = 18, -g - d = 4*t - 4. Suppose -5*b + 90 = -t*b. What is the remainder when b is divided by 16?
14
Let y(k) = -k + 9. Let j = -18 - -31. Calculate the remainder when j is divided by y(3).
1
Let r be (4/5)/(1/5). Suppose -r*m + 10 = m. Calculate the remainder when 3 - 0/(-2*1) is divided by m.
1
Suppose 6*y + 31 = 7*y. Calculate the remainder when y is divided by 9.
4
Suppose -3*m - 138 = -2*y - 22, -3*m + 128 = 2*y. What is the remainder when y is divided by (-24)/(-5)*270/81?
13
Suppose 5*k + 216 = 14*k. Calculate the remainder when 95 is divided by k.
23
Suppose 27 + 51 = 6*f. Calculate the remainder when f is divided by 9.
4
Let w = -60 - -85. What is the remainder when 97 is divided by w?
22
Suppose 7*v - 4*v = 18. Calculate the remainder when 21 is divided by v.
3
Suppose -5*w + 160 = -w. What is the remainder when 159 is divided by w?
39
Let i(s) = -s**3 - 8*s**2 - 3*s - 7. Calculate the remainder when 48 is divided by i(-8).
14
Suppose h = -3*h + 200. Suppose 9*m - 4*m = h. What is the remainder when 38 is divided by m?
8
What is the remainder when 225/4 - 1/4 is divided by 19?
18
Let c(z) = z**3 - z**2 + 2*z - 3. Let g be c(3). Let j(o) = 2*o**2 - 12*o - 16. What is the remainder when j(8) is divided by 6/g - (-122)/14?
7
Suppose 3*y + y - 4 = 0. Calculate the remainder when y is divided by (-3)/(-6 - (-1 + -2)).
0
Let r = 0 + 6. Suppose s - 15 = r*s. Let y = s + 6. What is the remainder when y is divided by 2?
1
Let p(a) = a**2 - a - 1. Let h be (-2)/6*(-27)/3. Suppose 49 + 44 = h*q. What is the remainder when q is divided by p(4)?
9
Let b(p) = -56*p**3 - 4*p**2 - 4*p - 2. Let u be b(-2). What is the remainder when 2/(-7) + u/14 is divided by 11?
9
Let h = 6 - 2. Let c(n) = -n**3 + 6*n**2 - 3*n + 3. What is the remainder when 44 is divided by c(h)?
21
Let n be -5 + 2 + -3 + 0. Let w = 10 + n. Calculate the remainder when 7 is divided by w.
3
Let z be (-18)/4*(-8)/12. Suppose -3*b - q = -2*q - 33, z*b - 24 = -2*q. Calculate the remainder when 26 is divided by b.
6
Let d = 57 - 53. What is the remainder when 15 is divided by d?
3
Let j = 0 - -5. Suppose 4 - 19 = -j*n. Suppose n*h = -2*h + 30. What is the remainder when 9 is divided by h?
3
Suppose -i - a = -15, 0 = i - 0*i - 3*a - 27. Suppose 3*l = 192 - i. Calculate the remainder when l is divided by 15.
13
What is the remainder when 36 is divided by 4 - (-60)/(-1 + 5)?
17
Suppose -3*w + 3*r = -168 - 51, -w + 43 = 5*r. Let s(n) = -n**3 + 6*n**2 + 2*n + 2. Calculate the remainder when w is divided by s(6).
12
Let h = 16 - 13. Suppose -h*w = 7 - 19. Calculate the remainder when 15 is divided by w.
3
Let k(o) = -o**2 - 3*o + 3. Let f be k(-3). Suppose -f*v = 2*v - 90. Calculate the remainder when (-1)/2*14*-5 is divided by v.
17
Suppose i = 2*i - 71. Let f = 103 - i. Let d(m) = m**2 + 1. What is the remainder when f is divided by d(-4)?
15
Let a(s) = 2*s**2 - 17*s + 13. Calculate the remainder when a(12) is divided by 20.
17
Let h be 15/(-25) + (-576)/(-10). Suppose c + 0*c - h = 0. What is the remainder when c is divided by 20?
17
Let m be (-3)/(-6) + 38/4. Suppose -2*a + 2 - m = 0. Calculate the remainder when 44 is divided by (10/a)/(2/(-12)).
14
Let u = 14 + -3. Let b be (6/(-9))/(2/39). Let o = 7 - b. What is the remainder when o is divided by u?
9
Let b be (-8)/(-20) + (-36)/(-10). Suppose 3*a + 2*a = 0. Suppose -m = -b*t + 84, m = -t - a*m + 21. What is the remainder when t is divided by 11?
10
Calculate the remainder when (-3 + -4)/((-2)/12) is divided by 23.
19
Suppose 0 = 4*s - 3*j - 44 - 71, -4*s + 80 = 4*j. What is the remainder when 47 is divided by s?
22
Suppose 2*j - 6*j + 76 = 0. Calculate the remainder when (2 + 116/(-3))*3/(-2) is divided by j.
17
Let f(l) = -l**2 + l + 7. Let g(k) = -k**2 - 8*k + 9. Let r be g(-9). Suppose -v = 0, 3*v + 38 = m + m. Calculate the remainder when m is divided by f(r).
5
Let f be (-156)/(-42) - (-2)/7. Suppose f*n = 18 + 14. What is the remainder when 13 is divided by n?
5
Let c(x) = -x**2 + 17*x + 9. Calculate the remainder when c(12) is divided by 35.
34
Let s(u) = -2*u - 18. Calculate the remainder when s(-26) is divided by 9.
7
Let q(r) = 17*r**2 - r. Suppose -4 = -3*w - w. Suppose 0*c - 35 = -3*c - 2*j, 37 = 5*c - 2*j. Calculate the remainder when q(w) is divided by c.
7
Suppose 0 = -2*h - 10, -8 - 2 = 5*j + h. Suppose -2*i - 4*m = -32, 11*i - 45 = 6*i - 3*m. Calculate the remainder when 21 + (-1 - 2) + j is divided by i.
5
Let t be (2/(-2) - -4)*-1. Let p be (-2*4)/((-3)/t). What is the remainder when (-2)/(-8) + (-134)/p is divided by 6?
5
Suppose -j - 4*j = -70. Calculate the remainder when j is divided by (-2 - -4) + 1 + 1.
2
Suppose 7*f = 6*f + 49. Suppose -2*s = -5*v - 57, 3*v + 82 = 3*s - v. What is the remainder when f is divided by s?
23
Let n be -1*9*(-3)/(-3). Let h = 1 - n. Suppose 0 = 2*r - 4 - 52. Calculate the remainder when r is divided by h.
8
Let q be ((-4)/6)/((-8)/108). Let t = q + -7. Calculate the remainder when 1*(0 + (-4)/(-2)) is divided by t.
0
Suppose -3*o + g - 28 = 0, o + 2*g + 4 = -3*g. Suppose 0 = -y - y + 18. Calculate the remainder when y is divided by (3 - -12)*(-3)/o.
4
Let x(y) be the third derivative of -y**6/120 + 3*y**5/20 - y**4/4 - 6*y**2. Calculate the remainder when x(8) is divided by 5.
1
Suppose h + 36 = o + o, -5*h - 44 = -2*o. Let s = 25 - o. Calculate the remainder when 15 is divided by s.
7
Suppose -5*j - 4*y - y = -115, -j = -2*y - 8. What is the remainder when 52 is divided by j?
16
Suppose -3*n + 2*n = 0. Let m(j) = -32*j**2 + 4 - 3*j**3 + 2*j**3 + 31*j**2. Calculate the remainder when 7 is divided by m(n).
3
Let w(a) = -a**3 - 7*a**2 - 8*a - 4. Let p = 1 - 8. What is the remainder when w(p) is divided by 18?
16
Suppose 30 = -v + 6*v. Calculate the remainder when 11 is divided by v.
5
Let a(o) = o**2 + 2*o + 14. Calculate the remainder when a(8) is divided by 3/(-5) + (-489)/(-15).
30
Let v = 27 - -11. Calculate the remainder when v is divided by 5.
3
Let l = 13 + -6. Let h = 30 - 20. Suppose -2*v + 14 = -h. What is the remainder when v is divided by l?
5
Let v = 25 + -1. Suppose -8 = -2*y + 4*b - 2, 0 = 2*y + 3*b - 41. Calculate the remainder when v is divided by y.
11
Let t(c) be the third derivative of -c**6/120 - c**5/20 + c**3/3 + c**2. Let a be t(-3). What is the remainder when 8 is divided by 20/6 - a/6?
2
Let n = 16 - -9. Calculate the remainder when -1 + ((-300)/(-3))/2 is divided by n.
24
Let g(q) = q - 5. Let u be g(5). Suppose -2*j - 5*x + 44 = -u*j, x = 2. What is the remainder when 50 is divided by j?
16
Suppose 5*o - 4 + 34 = 0. Let t be o/5*10/(-3). Suppose 2*v - 5*k - 7 = 0, 0 = 5*v + t*k - 1. Calculate the remainder when 2 is divided by v.
0
Suppose 3*j + 2*j - 40 = 0. Let b = 10 - j. What is the remainder when 4 is divided by b?
0
Suppose x - 18 = -7. Calculate the remainder when 118 is divided by x.
8
Let v(s) = -26*s + 16. Calculate the remainder when v(-3) is divided by 11.
6
Let b(w) = -w**3 + 4*w**2 - 2*w + 2. Calculate the remainder when 17 is divided by b(2).
5
Suppose -9*w - 651 = -16*w. Calculate the remainder when w is divided by 32.
29
Let r(p) = 2*p - 2*p - 14*p + 15 + 13*p**2 + p**3. What is the remainder when 42 is divided by r(-14)?
12
Let k = -7 - -4. Let j = 7 + k. Calculate the remainder when j is divided by (-1)/(-3) - 16/(-6).
1
Let a(s) = -32*s + 2. Let m be a(-4). Suppose -5*f - 4*l = -9*l - m, -2*l = 5*f - 95. What is the remainder when f is divided by 11?
10
Let r(t) = t**2 - 2*t - 8. Calculate the remainder when r(-10) is divided by 38.
36
Let a(c) = 2*c**2 + 5*c - 2. Suppose -2*x = -4*o - 4*x + 16, 0 = 5*x. What is the remainder when a(o) is divided by (-234)/(-14) - 8/(-28)?
16
Suppose 3*y = -5*j + 2, -y = 4*j - 7*j - 24. Suppose 47 = 2*i - o, -5*i + 2*o + 42 = -3*i. Calculate the remainder when i is divided by y.
8
Suppose 0*t + 46 = 2*b - 2*t, -t = -2*b + 45. Calculate the remainder when 64 is divided by b.
20
Let k(g) = -g**3 + 6*g**2 + 10*g + 10. What is the remainder when 59 is divided by k(7)?
28
Suppose -4*f + 244 = 80. Suppose -3*k - f = 