4) is divided by x?
2
Let p(o) = -o**2 - 27*o + 33. What is the remainder when p(-27) is divided by 5?
3
Let o = -56 - -86. Let z(s) = -s**3 + 5 - 7*s + 8*s - 6*s**2 + 2*s**3. What is the remainder when o is divided by z(6)?
8
Let d be 7/((-63)/(-318))*(3 + -6). Let l = d - -141. What is the remainder when l is divided by 12?
11
What is the remainder when 645/6 + (-12)/(-8) is divided by 14?
11
Let k(c) = -4*c - 98. Calculate the remainder when (0 - 1) + (16 - -26) is divided by k(-30).
19
Let k = 6 + -2. Suppose -3*s + 3 = -4*s, -4*l + 100 = 4*s. What is the remainder when 0 - (-5)/(20/l) is divided by k?
3
Suppose 2*r = -0 + 4. Suppose -r*b = -4, 4*b = -2*m + 3 + 11. What is the remainder when 10 is divided by m?
1
Let q = 2836 + -1799. What is the remainder when q is divided by 52?
49
Suppose 0 = -14*v + 100 - 2. What is the remainder when 10 is divided by v?
3
Suppose 4*x - 125 = -4*m + x, 0 = m - 5*x - 60. Calculate the remainder when 314 is divided by m.
34
Suppose -7 = -y + 5. What is the remainder when 38 is divided by y?
2
Let u(x) be the third derivative of 2*x**4/3 + 7*x**3/2 - 44*x**2. What is the remainder when u(5) is divided by 17?
16
Suppose -4*i + 5*k = -15, 3 = -4*i + 4*k + 23. What is the remainder when 17 is divided by i?
7
Suppose -5*r - u + 11 = -40, 4 = -u. Suppose 3*n - 2*j - 151 = -j, 3*j = n - 45. What is the remainder when n is divided by r?
7
Suppose -6*u - 266 = -2*l - 8*u, -129 = -l - 5*u. What is the remainder when l is divided by 68?
66
Calculate the remainder when 14/539*7 + 8673/33 is divided by 8.
7
Let v = -60 + 59. What is the remainder when 55 is divided by (24/(-9))/(v/6)?
7
Suppose 0 = a + 3*t - 30, -t - 51 = -2*a + 2*t. Let g(u) = -3*u + 11*u - 5*u + 41 - 5*u. What is the remainder when a is divided by g(17)?
6
Let k = 1 - -5. Suppose 17 = -5*m + k*m. What is the remainder when (-2)/(-4*(-3)/(-294)) is divided by m?
15
Let g = 57 + -57. Suppose -2*v + 4 + 276 = g. What is the remainder when v is divided by 16?
12
Suppose 265*q - 260*q - 1005 = 0. What is the remainder when q is divided by 63?
12
Suppose -43*m + 26*m = -8602. What is the remainder when m is divided by 15?
11
Let p = 39 + -25. Let j = -21 + p. Let c = j - -8. Calculate the remainder when 3 is divided by c.
0
Suppose 2*j = 4*b + 28, 0*b + 4*b + 16 = -j. Suppose -h - 168 = -4*s, j*h + 10 = s - 32. Let p = 28 + -17. Calculate the remainder when s is divided by p.
9
Suppose -11*f + 506 = 12*f. What is the remainder when 788 is divided by f?
18
Let i(g) = 2*g**3 + g**2. Let u be i(1). Let r be 6/(-12) + (-6)/4. What is the remainder when ((-174)/3)/r*u is divided by 22?
21
Let a(f) be the third derivative of 0 - 11*f**2 - 4/3*f**3 - 1/4*f**4 + 0*f. Calculate the remainder when a(-5) is divided by 8.
6
Let a(l) be the second derivative of -l**3 + l. Let r = -621 + 619. What is the remainder when a(r) is divided by 8?
4
Let t = -51 + 91. Let z(n) = -13*n + 26. What is the remainder when z(-4) is divided by t?
38
Suppose -s + 7 - 1 = 0. Suppose 0 = -o + 2*v + 17, -v = 2*o - 4*v - 34. Calculate the remainder when o is divided by s.
5
Suppose -3*z + 1 + 5 = 0. Suppose f - z = -3. What is the remainder when 19 is divided by 5 - (-2 - f - 1)?
5
Let q(p) = p**2 + 3*p - 3. Let n be q(2). Let i = 24 - n. Suppose -5*r = -3*g + 145, -5*g - 3*r + 200 + 53 = 0. Calculate the remainder when g is divided by i.
16
Let n be 386*2/(-8)*1*-2. Let h = n + -147. Calculate the remainder when h is divided by 12.
10
Suppose -p - 4*q = -1326, 0 = 16*p - 21*p - 3*q + 6715. What is the remainder when p is divided by 75?
71
Let k = 2 - -9. Suppose 0 = 7*o - 402 + 45. What is the remainder when o is divided by k?
7
Suppose -10*s = -13*s + 780. What is the remainder when s is divided by 34?
22
Let j(o) = o - 15. Let i(r) = -r - 1. Let k(u) = -4*i(u) + j(u). Let v = 351 + -345. What is the remainder when 54 is divided by k(v)?
16
Suppose 6*q = -68*q + 97606. What is the remainder when q is divided by 120?
119
Let x = -1 - -3. Suppose x*b - b - s + 2 = 0, 3*s = 4*b + 9. Calculate the remainder when 23 is divided by (-2 + b/(-6))*-4.
5
Let h be (8/(-4))/4*-4. Suppose b - 13 = -3*r, 1 = -h*r + b + 3. Suppose -r*w - 5*p + 53 = 0, -4*p + 1 = w + p. What is the remainder when w is divided by 7?
5
Let g(t) = t + 94. What is the remainder when 288 is divided by g(-19)?
63
Let f = -53 - -58. Let z(a) = 6*a - 6. Calculate the remainder when 94 is divided by z(f).
22
Suppose -3*j - t = -95, -2*j + 3*t - 4*t = -62. What is the remainder when j is divided by 10?
3
Let y(j) = 2*j**2 - 8*j - 61. Suppose c + 3*v - 6 = 0, -5 - 5 = 5*v. What is the remainder when y(8) is divided by (8/c)/((-4)/(-18))?
0
Let b(l) = -l**3 - 12*l**2 + 3*l + 28. Let m be b(-12). What is the remainder when 87 is divided by (m - -4 - -9)/((-2)/(-18))?
42
Let u(o) = 40*o**2 - 8*o + 10. Let t be u(2). Let a = t - 134. What is the remainder when 237 is divided by a?
17
Let b = 5 + -5. Let r(p) = -2*p**2 - p + 58. What is the remainder when r(b) is divided by 15?
13
Suppose 21*t + 945 = 36*t. Calculate the remainder when t is divided by 37.
26
Let q = -8 - -17. Let u = -3 + -32. Calculate the remainder when (-7)/u - 119/(-5) is divided by q.
6
Suppose -15 = -5*u + 65. Calculate the remainder when u is divided by 2.
0
Suppose -8*x + 298 = -30. Calculate the remainder when 202 is divided by x.
38
Let k = 7 + -26. Let l = k - -26. What is the remainder when 11 is divided by l?
4
Let i(q) = 2*q**2 - 29*q + 51. Calculate the remainder when 22 is divided by i(13).
10
Let j = -1501 - -1531. Calculate the remainder when j is divided by 8.
6
Suppose -3*w + 13 + 68 = 0. What is the remainder when w is divided by (51/85)/((-9)/(-105))?
6
Calculate the remainder when 20 is divided by (-128)/(-16)*14/16.
6
Let a(b) = 5*b**3 - b**2. Let j be a(1). Suppose j*n = -2*z - 0*z + 224, 0 = 5*n - 4*z - 267. Calculate the remainder when n is divided by 29.
26
Suppose 0 = 12*h - 7*h + 2*o - 203, -4*h + 3*o + 167 = 0. What is the remainder when h is divided by 8?
1
Let p(s) be the first derivative of s**3/3 - 3*s**2/2 + s - 14. Calculate the remainder when 132 is divided by p(-3).
18
Suppose -28*b - 1168 = -44*b. Let a(z) = -14*z + 1. Calculate the remainder when b is divided by a(-1).
13
Let r(q) = q**3 + 5*q**2 - 2*q - 6. Let v = 0 + -5. What is the remainder when 11 is divided by r(v)?
3
Suppose 0 = 5*x + 26*l - 21*l - 85, 5*x - 55 = 5*l. Calculate the remainder when x is divided by 7.
0
Let v = 739 + -718. Let i(c) = -c**3 - 2*c**3 + 2*c**2 - 5*c**2. What is the remainder when v is divided by i(-2)?
9
Let n(g) = -g + 9. Let z be n(0). Let s = 24 - 13. Suppose -z = -2*t + s. Calculate the remainder when t is divided by 6.
4
Suppose 13*o - 30853 = -11366. Calculate the remainder when o is divided by 10.
9
Suppose -5*c - 2*m = -353, -45 - 89 = -2*c + m. Calculate the remainder when c is divided by 18.
15
Let i(h) = -25*h + 13. Let g be i(-3). Let c = g - 85. What is the remainder when 16 is divided by c?
1
Let u be (-8)/28 - (-318)/(-14). Let a = -13 - u. Let v(g) = -42*g + 217. Calculate the remainder when v(4) is divided by a.
9
Let r be (-14)/2*918/(-119). Suppose 29*y - r = 23*y. What is the remainder when 0 - -17 - (-2 - -2) is divided by y?
8
Let h(s) = -s**2 + 18*s + 57. What is the remainder when h(12) is divided by 111?
18
Let u(h) = 3*h**2 - 14. Let i be (21/14)/((-3)/10). What is the remainder when u(i) is divided by 16?
13
Let v = -52 + 98. Suppose t + 6*t = 945. Calculate the remainder when t is divided by v.
43
Let z = 180 - 71. What is the remainder when z is divided by 5?
4
Let r(j) be the second derivative of j**4/6 - 5*j**3/6 + j**2 + 5*j. Let d be r(3). Suppose -d*s + 32 = -s. Calculate the remainder when 21 is divided by s.
5
Suppose -2*f - 5*f = 0. Suppose f = -19*h + 9*h + 150. What is the remainder when h is divided by 10?
5
Suppose -128 = -5*q + 4*o, 106 = 4*q - 12*o + 7*o. Calculate the remainder when 41 is divided by q.
17
Suppose 0*r = -2*r + 116. Suppose 1382 = 12*v + 1202. What is the remainder when r is divided by v?
13
Calculate the remainder when (3*(-2)/(-9))/((-5)/(-585)) is divided by 22.
12
Suppose -2*h - 23 = 3*s, -5*h - 3 = -8*h + 3*s. Let t(i) = -3*i - 2. Calculate the remainder when (-2)/(-7) + (-5