 d. Calculate the remainder when n is divided by p(0).
10
Let b = 8 + -8. Suppose -2*x + 3*c + 6 + 7 = 0, b = 5*c + 15. What is the remainder when 3 is divided by x?
1
Calculate the remainder when 3*(-1)/(-6)*(29 + 5) is divided by (-10 - -5)/(2/(-2)).
2
Let c be -30*((-3)/5 - 0). Suppose u + u = c. Calculate the remainder when (34/(-4) + 2)*-4 is divided by u.
8
Let t = 82 - 39. What is the remainder when t is divided by 1/1 + 20 + -5?
11
Suppose 0 = -5*k - 3*p + 98 + 23, -2*k = -p - 44. Let x be (-4)/(-10) + (-268)/20. Let q = x + k. Calculate the remainder when 28 is divided by q.
8
Suppose -2*f + 47 - 7 = 0. Let d(i) = i**2 + 159*i + 4025. Calculate the remainder when d(-128) is divided by f.
17
Suppose -o + 69 - 14 = 0. Let v = o - 45. Calculate the remainder when 38 is divided by v.
8
Let b = -15 + 17. What is the remainder when (-68)/(-34) + (0 + 390)/b is divided by 33?
32
Suppose 4*z + 16 = 60. Suppose 0 = 5*h - 66 + z. Suppose -2*u - 2*u + 168 = 0. Calculate the remainder when u is divided by h.
9
Let n(y) = y**2 - 21*y + 217. What is the remainder when n(35) is divided by 71?
68
Let d(q) = 57*q**3 + 6*q**2 - 2*q. Calculate the remainder when 93 is divided by d(1).
32
Suppose l = 2*i - 3*i + 6, 2 = 2*l. Suppose 4*u + 33 = i*u. Let v = 4 - -5. Calculate the remainder when u is divided by v.
6
Suppose -l + 186 = 4*l + 3*x, 2*l = -5*x + 63. Calculate the remainder when 2 + 5 + -4 - -74 is divided by l.
38
Let s be 1*(5/(-1) - -3). Let w be s/(-3) - (-7252)/(-42). What is the remainder when (-3)/2 + w/(-8) is divided by 7?
6
Let p(s) = 20*s**2 + 8*s + 18. Calculate the remainder when p(-4) is divided by 62.
58
Calculate the remainder when 44 is divided by ((-6)/(-12))/((-17)/(-170)).
4
Suppose 4*r = 4*q - 16, 4*r + q + q = -22. Calculate the remainder when -93*(r + 1 - -3) is divided by 24.
21
Suppose -13 - 13 = -2*k. Let r(g) = g**2 + 4*g + 3. Let i be r(-3). Suppose i*n - n + 36 = 0. What is the remainder when n is divided by k?
10
Let x(v) = v**3 - 2*v**2 + v - 1. Suppose 0 = w - 3 + 4. Calculate the remainder when x(2) is divided by (w/4)/((-3)/12).
0
Suppose 5*f + 35 = 4*z, -f + 0*f - 70 = -5*z. Suppose -3*j = -57 - z. Calculate the remainder when 47 is divided by j.
23
Let b(t) = -2*t + 9. Let h be b(6). Let s(j) = -j**3 - 6*j**2 + 11*j + 11. Calculate the remainder when s(-8) is divided by 20/(-15) + (-58)/h.
15
Let h(a) = -a**3 + 6*a**2 - 5*a + 1. Suppose 4*u - 8 = 3*u + 2*x, -3*x - 13 = -2*u. What is the remainder when u is divided by h(5)?
0
Let b = -2 - -4. Suppose -2*x - 26 = 4*o, o + b*x + 2 = -0*x. Calculate the remainder when 5 is divided by -3*3/(36/o).
1
Let r = 116 + 42. Calculate the remainder when r is divided by 158.
0
Let w(q) = q**2 + 8*q - 5. Suppose -5*l + 47 = 3*d - 4*l, 18 = d - 2*l. What is the remainder when w(-11) is divided by d?
12
Let p(q) = 5*q**3 - q**2 - 10*q + 52. Calculate the remainder when p(3) is divided by 50.
48
Suppose 2*j + 3*j = -2*k + 78, 5*j + 38 = 2*k. Let n = k - 14. Let v = n + -3. Calculate the remainder when 47 is divided by v.
11
Let q be -4 - 63/(-6) - 1/(-2). Suppose -y - 87 = -2*y. Suppose 10 = -q*t + y. Calculate the remainder when 18 is divided by t.
7
Suppose -3*z = -3*w, 0*z - z - 4 = -3*w. Let j be (2 + (2 - z))*2. Suppose 4*p - 7*p - 242 = -5*f, p + j = 0. Calculate the remainder when f is divided by 12.
10
What is the remainder when (-7)/(-49) - (-12969)/63 is divided by 11?
8
Let c(b) = 2*b**3 - 27*b**2 + 34*b + 43. Suppose 244 + 32 = 3*l. What is the remainder when l is divided by c(12)?
16
Let p(j) = j**3 + j**2 + 12. Suppose 89*q + 1151 - 5245 = 0. Calculate the remainder when q is divided by p(0).
10
Let z = -10 + 15. Let w = -3 + z. Suppose 2*v = -w*v + 28. Calculate the remainder when 25 is divided by v.
4
Suppose -v + 2 = -4. Suppose -4*h + 26 = s + 9, -7 = -2*h + s. Suppose v*f - f = -5*g + 210, h*g = -2*f + 74. Calculate the remainder when f is divided by 12.
11
Let s = -57 - -61. Suppose 2*a = -s*r + 68, 2*r - 6*r = -5*a + 142. What is the remainder when 59 is divided by a?
29
Let c = -298 + 459. Calculate the remainder when c is divided by 55.
51
Let f be (-4*2/(-4))/(17/221). Let i = 11 - 7. Suppose 6*l - i*l - f = 0. Calculate the remainder when l is divided by 7.
6
Suppose 4*w = -3*c - 15, 0 = 8*w - 3*w + 2*c + 10. Suppose 0 = -8*b + 3*b + 2*l + 93, w = 2*l - 2. What is the remainder when 37 is divided by b?
18
Let k(x) = x + 31. Calculate the remainder when 113 is divided by k(-5).
9
Suppose 0*m = -5*v - 5*m + 105, 4*v + 2*m - 88 = 0. Calculate the remainder when 36 is divided by v.
13
Suppose -106 = -15*y - 1. Let l be (8/10)/(8/580). Suppose 42 = 5*u - l. Calculate the remainder when u is divided by y.
6
Suppose 3*i + 4*h = 5*i - 16, 16 = 5*i - 2*h. Suppose -b = 5*a - 3, -2*b - 22 = -5*b - i*a. What is the remainder when 15 is divided by b?
7
Let v(j) = 3*j - 7. Let f be v(-5). Let z = -12 - f. What is the remainder when z is divided by 2?
0
Let b(r) = -6*r + 4 - 25 + 40. Calculate the remainder when 35 is divided by b(0).
16
Suppose 7*b - 113 = 6. Suppose 5*n - 78 = -5*s + b, 5*n = 0. What is the remainder when s is divided by 12?
7
Suppose p - 3*p = 5*t - 339, 2*p = 2*t - 144. Calculate the remainder when t is divided by ((-10)/2 - -13) + 2.
9
Let p be 0/(0 + (1 - 2)). Suppose -4*u = -i - p*u + 14, -3*i + 2*u = -22. Calculate the remainder when i is divided by 4.
2
Suppose 43 - 158 = -5*r. Let y(c) = -c**3 - 2*c**2 + 5*c - 8. Calculate the remainder when r is divided by y(-4).
3
Let v(r) = -3*r - 4. Let n(m) be the first derivative of m**2/2 + 4*m - 1. What is the remainder when n(10) is divided by v(-3)?
4
Let t be 8/3 - 3/(-9). Let p(m) = -13*m - 4 + 22*m + 0. Calculate the remainder when 67 is divided by p(t).
21
Let p(x) = -4*x - 2*x + 4 + 4*x - x. What is the remainder when p(-8) is divided by (-1 - 1 - -3)*10?
8
Let s = -3 + 9. Suppose -19310 + 18974 = -21*g. Calculate the remainder when g is divided by s.
4
Suppose -f - 207 = -2*p, 0 = -3*p + f + 295 + 14. Let c(r) = -8*r - 6. Calculate the remainder when p is divided by c(-4).
24
Let n be -1 + 1 + 2*2. Suppose 3*v + n*h = 70, 0 = 5*v - 4*h - 40 - 34. Suppose 3*m - v - 24 = 0. What is the remainder when 55 is divided by m?
13
Suppose -10*a + 362 - 102 = 0. Calculate the remainder when 934 is divided by a.
24
Let l(j) = 11*j + 61. Calculate the remainder when l(5) is divided by 24.
20
Suppose -54 - 231 = -3*c. Let s = c - 29. Calculate the remainder when s is divided by 17.
15
Suppose 180 = -8*b + 3*b. Let r be (-17)/(((-2)/(-4))/(9/(-6))). Let i = r + b. What is the remainder when i is divided by 4?
3
Suppose -9*z + 171 + 198 = 0. Calculate the remainder when 153 is divided by z.
30
Suppose 0 = -5*g + 3*v + 626, -4*g - 5*v - 360 = -883. Let p(j) = j**3 + 5*j**2 - 6*j - 4. Calculate the remainder when g is divided by p(-5).
23
What is the remainder when (-2405)/(-39)*6/2 is divided by 28?
17
Let h(g) = 9*g + 3. Let a be h(4). Calculate the remainder when -1 + a/9*3 is divided by (-2)/6 + (-1235)/(-285).
0
Let c = 104 - 104. Suppose 3*i - 2*x = 14 + 51, c = -3*x - 12. Calculate the remainder when i is divided by 8.
3
Suppose -3*g - 5 = 1. Let l(s) = -10*s**3 - s**2 - 1. Calculate the remainder when l(g) is divided by 19.
18
Suppose -5*x + 2*b - 78 = -22, 2*b + 4 = -x. Let v(h) = -2*h - 13. Calculate the remainder when 27 is divided by v(x).
6
Let f(n) = -n**2 - 55*n + 88. Calculate the remainder when f(-26) is divided by 94.
90
Suppose -m + 5*z = -18, -m + 16 = -4*z - 4. What is the remainder when 630 is divided by m?
14
Let k = 16 - 6. Let m(f) = 6*f - 9. Calculate the remainder when m(k) is divided by 18.
15
Suppose 3068 = 1014*t - 962*t. Calculate the remainder when t is divided by (-2)/((-4)/21)*2.
17
Suppose -19 - 16 = -2*o + 3*k, 0 = o - 3*k - 19. What is the remainder when 51 is divided by o?
3
Let d(z) = z**3 - 25*z**2 + 45*z + 43. What is the remainder when 198 is divided by d(23)?
18
Let t(d) = -29. Let c(q) = q. Let h(v) = 4*c(v) + t(v). Let x(w) = -25*w. Calculate the remainder when x(-3) is divided by h(12).
18
Let m(h) = 12*h + 26. What is the remainder when 42 is divided by m(-2)?
0
Suppose 5 = -3*b + 17. Suppose -b*m - 144 = 40. Calculate the remainder when 44 is divided by ((-2)