x) = x**3 - 5*x**2 + x + 6. Suppose 2*k - 6 = -0. Let w(u) = u**3 - u**2 + 2*u - 6. Calculate the remainder when w(k) is divided by p(5).
7
Let o(g) be the first derivative of 2*g**2 + 2*g - 10. Calculate the remainder when o(4) is divided by 3.
0
Suppose -5*o - t + 531 = 0, -20*o + 16*o + 420 = -4*t. What is the remainder when o is divided by 35?
1
Calculate the remainder when 21/2*(-4192)/(-48) is divided by 51.
50
Suppose -4*j - 500 = -14*j. What is the remainder when j is divided by 30?
20
Let r(x) = 2*x + 11. Let q be r(-5). Let y be ((-12)/15)/(q/75). Calculate the remainder when (-1704)/y*10/4 is divided by 18.
17
Suppose 3*d - t = 117, 4*t - 117 = 3*d - 6*d. What is the remainder when d is divided by 7?
4
Let o = -8656 + 8720. Let c = 1 - -10. Calculate the remainder when o is divided by c.
9
Suppose z + 3*q - 38 = 0, -51 - 39 = -3*z - 3*q. Let g = 6 + 3. Calculate the remainder when z is divided by g.
8
Let t(x) = -27*x**3 - x**2 - 3*x - 2. Let a be t(-1). Let u = 61 - a. Calculate the remainder when 99 is divided by u.
31
Suppose -5*f + 0*f - 95 = 0. Let n = 22 + f. Suppose -2*c + 1 = -n*r, 5*c = r + 38 - 3. Calculate the remainder when c is divided by 3.
2
Let s(q) = 57*q + 11. Let m(a) = -29*a - 6. Let r(f) = -5*m(f) - 3*s(f). Calculate the remainder when r(-1) is divided by 9.
5
Let w(r) = -3*r - 7. Let y be w(-14). Let j = y + -33. Suppose -28 = -3*o - o. What is the remainder when o is divided by j?
1
Suppose 0 = 4*g - 220 - 224. What is the remainder when g is divided by 16?
15
Suppose 7 = d + 3. Let q be (144/(-20))/((-2)/10). Suppose s + q = 5*s. Calculate the remainder when s is divided by d.
1
Let o(c) = c + 34. Let k = -8 + 0. Calculate the remainder when o(0) is divided by -3 + k/(-6)*9.
7
Let j = 69 - 38. Calculate the remainder when j is divided by 8.
7
Let w be (4 + -4)/((-3)/(-1)). Suppose w = 4*l - 8, l - 2007 = -5*z - 745. Suppose -4*d + z = 48. Calculate the remainder when d is divided by 18.
15
Let f(n) = -13*n**3 - 3*n**2 + 8*n + 9. Let w(t) = 2*t**3 + t**2 - t. Let k(q) = -f(q) - 6*w(q). Calculate the remainder when 89 is divided by k(5).
27
Let m(a) = -a**3 - 12*a**2 - 10*a + 11. Let z be m(-11). Suppose 4 = 3*u - 5*f, 0 = -f - z*f + 4. What is the remainder when 38 is divided by u?
6
Suppose 7*f = 4*f + 6. Let y be (14 + -4)*f/4. Suppose -y*m + 25 = -20. What is the remainder when 25 is divided by m?
7
Suppose 0 = 38*y - 522 - 86. Calculate the remainder when 110 is divided by y.
14
Suppose -10 + 0 = i. Let z = i + 56. Calculate the remainder when z is divided by 24.
22
Suppose 3*o = -l - l + 125, -4 = 2*l. Suppose o = 6*q - 23. Suppose -8 = 3*i + 2*p - 30, 0 = 2*i - p - 3. What is the remainder when q is divided by i?
3
Let k(l) = l**2 - 4*l + 4. Suppose 6*f - 2 = 22. Let w be k(f). Suppose -w*o + 29 + 27 = 0. Calculate the remainder when 97 is divided by o.
13
Let d(c) = 5*c + 25. Let a be d(-4). Suppose -l - a + 18 = 0. Let f(n) = 50*n + 1. What is the remainder when f(1) is divided by l?
12
Let v = -134 + 403. What is the remainder when v is divided by 54?
53
Let s = 224 + -215. Calculate the remainder when 32 is divided by s.
5
Let l(m) = 15*m + 5*m + 5*m**2 - 4*m - 6 + 3*m**3 - 4*m**3. What is the remainder when 39 is divided by l(7)?
7
Let k(d) = -d + 15. Let s be (-4 - -10) + -3 + -3. What is the remainder when k(s) is divided by 8?
7
Let y(q) = q**3 - 6*q**2 + q + 12. Let z = -10 + 16. Let b(w) = 2*w**2 + 1. What is the remainder when b(-4) is divided by y(z)?
15
Let x be 8/(-3)*6/(-4). Let a be (-1)/((4/(-20))/1). Suppose -x = a*s - 139. Calculate the remainder when s is divided by 14.
13
Let m = 5 + -1. Suppose 0 = 2*w - m*w + 60. Calculate the remainder when w is divided by 19 + -3 + ((-20)/(-4) - 5).
14
Suppose 51*x = 36*x + 345. Calculate the remainder when x is divided by 2.
1
Let a(y) = 22*y + 4. Let m be a(-3). Suppose -2*h + 86 = -4*h. Let v = h - m. Calculate the remainder when v is divided by 11.
8
Let v = -1332 + 1448. Calculate the remainder when v is divided by 32.
20
Suppose 0 = -k - 4*a - 15, -2*k = -6*k + a + 25. Let s(n) = 17*n**2 + 57*n + 58. Calculate the remainder when s(-1) is divided by k.
3
Let y(t) = t**3 - 26*t**2 + t - 4. Let p be y(26). Suppose -5 = 5*s - 145. Let i = s - p. Calculate the remainder when i is divided by 2.
0
Let k = -41 - -43. Suppose j - k*z - 1 = 3, 2*z = 3*j - 32. Calculate the remainder when 41 is divided by j.
13
Let p(m) be the first derivative of -m**4/4 - 4*m**3/3 + 3*m**2 - 7*m - 7. Let s be p(-5). Let w = s - -19. What is the remainder when 34 is divided by w?
6
Let v be 28/6*15/(-10). Let q = v + 10. Suppose 6*f - 3*r = q*f - 3, 0 = 2*f - 4*r + 10. Calculate the remainder when 4 is divided by f.
1
Let x(m) = -m**2 + 6 + 0*m - 37 + 27*m + 5. Calculate the remainder when x(25) is divided by 8.
0
Let u(q) = 3*q**2 - 2*q - 12. Let s be (1/(-3))/((-8)/(-72)). Calculate the remainder when 57 is divided by u(s).
15
Suppose 11*b - 10*b = 0. Suppose b*p - p + 42 = 0. Suppose -y + 45 = 4*y. Calculate the remainder when p is divided by y.
6
Let x(a) = -24*a. Let d = 14 + -15. Calculate the remainder when x(d) is divided by 9.
6
Suppose 13*a + 1147 = 44*a. Calculate the remainder when 255 is divided by a.
33
Suppose 0*p - 19 = -h - 2*p, -2*p + 8 = 0. Suppose -2*q = -30 - 10. What is the remainder when q is divided by h?
9
Suppose 4*w - 21 - 31 = 0. Suppose -25*n + 223 = 4*s - 30*n, -2*n = -5*s + 300. Calculate the remainder when s is divided by w.
10
Suppose 29*y = 6614 + 5305. What is the remainder when y is divided by 7?
5
Let h(i) = -2*i**3 - i**2 - 3. Let w be h(-3). Let u = 31 + -5. What is the remainder when ((-300)/w)/(2/(-14)) is divided by u?
24
Let o(h) = 21*h - 836. Calculate the remainder when 57 is divided by o(41).
7
Suppose -15*j - 2376 = -10*j - 93*j. Calculate the remainder when j is divided by 5/(-2)*(-12)/2.
12
Let v(d) = d - 1. Let t(q) = q**3 - 6*q**2 - 8*q + 9. Let u be t(7). Let i be 8/((2 + u)/8). What is the remainder when v(i) is divided by 6?
3
Let l = -94 + 172. What is the remainder when -3 + 5 + -3 + l is divided by 16?
13
Let v(c) = 4*c**2 + 17*c - 80. What is the remainder when v(5) is divided by 36?
33
Let u = 21 + -7. Calculate the remainder when 105 is divided by (-20)/(-70) - (-374)/u.
24
Suppose -2*w = 4*q + 3*w - 133, q + 5*w - 22 = 0. Suppose 24 = d - 5*a, -d - 39 = -3*d + a. What is the remainder when q is divided by d?
18
Let o = 9 + -7. Suppose 6*q + 110 = 11*q + 3*h, 3*h = -4*q + 85. What is the remainder when q is divided by (-25)/(-2) + o/4?
12
Let r = -44 - -74. Let z = 7 - -1. Calculate the remainder when r is divided by z.
6
Suppose -13*k + 2178 = 9*k. Suppose 102 = 3*m + 27. Calculate the remainder when k is divided by m.
24
Let x be (-6)/(-2)*(-5)/(-5). Suppose -v - 20 = -x*v. What is the remainder when v is divided by 3?
1
Let k = 318 - 284. What is the remainder when k is divided by 6?
4
Let s(y) = y**3 + 6*y**2 + 7*y + 17. Calculate the remainder when 71 is divided by s(-4).
8
Let u be (-4)/10 + -4 + 84/10. Let i = 1202 - 637. Suppose 0 = u*a - 9*a + i. Calculate the remainder when a is divided by 29.
26
Suppose -2*n + 8 = -2*m - 2, 3*n - 9 = 5*m. Suppose -170 = -n*y - 2*y. What is the remainder when 64 is divided by y?
13
Let g(t) = t**3 - 10*t**2 + 10*t + 16. Suppose 0 = -3*u + 2*l + 96, -5 = 3*u + 2*l - 89. What is the remainder when g(10) is divided by u?
26
Let u be 19*-2 + 2 + -5. Let b = 116 + u. What is the remainder when b is divided by 38?
37
Calculate the remainder when 1/(3 + 1208/(-404)) is divided by 22.
13
Suppose 1435*m - 1438*m = -996. What is the remainder when m is divided by 26?
20
Let n(v) = v**2 + 3*v + 1. Let z be n(4). Suppose -18*f = 439 - 583. What is the remainder when z - -1*2*-1 is divided by f?
3
Suppose -2 = -2*k + 2. Let g(w) = w**3 + 4*w**2 - 3*w. Let c be g(k). Suppose 3*v - 5*v = -c. What is the remainder when v is divided by 4?
1
Suppose i + 8 = 3*q + 2*q, 25 = 4*i - q. Calculate the remainder when 23*6 - (-2 + i) is divided by 45.
43
Suppose -5*q = -4*q + 6. Calculate the remainder when ((-53)/q)/((-4)/(-24)) is divided by 19.
15
Suppose 5*y - 4*y - 344 = -4*z, 3*y + 12 = 0. Suppose 336 = 18*b - 78. Calculate the remainder when z is divided by b.
18
Let n = 279 + -2