actor -2/7*p**4 - 24/7*p**3 - 162/7 - 216/7*p - 108/7*p**v.
-2*(p + 3)**4/7
Let f(m) be the second derivative of m**7/336 - m**6/20 + 11*m**5/40 - 35*m**4/48 + 17*m**3/16 - 7*m**2/8 + 165*m + 2. Factor f(h).
(h - 7)*(h - 2)*(h - 1)**3/8
Let p(o) = 3*o**5 - 2*o**4 + o**3 + 2*o**2. Let a(u) = -4*u**5 + u**4 - u**2 - 2*u. Let j(l) = -4*a(l) - 6*p(l). Determine s so that j(s) = 0.
-1, 0, 1, 2
Let i(s) be the first derivative of s**5/15 - 4*s**3/3 - 8*s**2/3 + 441. What is g in i(g) = 0?
-2, 0, 4
Factor -75/4*x**2 + 0*x + 5/4*x**4 + 0 + 35/2*x**3.
5*x**2*(x - 1)*(x + 15)/4
Suppose 4*q - f - 17 = 2*f, 0 = 2*q - 3*f - 13. Factor -40 - 2*z - 41 + 82 + z**q.
(z - 1)**2
Let y(d) be the third derivative of d**10/756000 - d**9/302400 - d**8/50400 - d**5/6 + 5*d**2. Let p(f) be the third derivative of y(f). Factor p(q).
q**2*(q - 2)*(q + 1)/5
Let y be (-5 + 6 - -5) + -2. Let c(h) be the first derivative of 4/3*h**3 + h**y + 0*h + 1 + 0*h**2. What is d in c(d) = 0?
-1, 0
Let v be 2 + (-1 - 6) + 2. Let q be 75/(-27) - 0 - v. Let -q*i**2 + 2/9 + 0*i = 0. What is i?
-1, 1
Factor -70*k - 11*k**3 + 93/2*k**2 + 34 + 1/2*k**4.
(k - 17)*(k - 2)**2*(k - 1)/2
Let 0 + 2/7*u**3 + 152/7*u**2 + 2888/7*u = 0. What is u?
-38, 0
Let a(k) be the first derivative of 0*k**2 + 0*k - 10 - 1/12*k**3. Let a(u) = 0. Calculate u.
0
Let a(v) = -4*v**2 + 25*v + 36. Let m(k) = -2*k**2 + 12*k + 20. Let u(z) = -2*a(z) + 5*m(z). Solve u(d) = 0 for d.
-2, 7
Solve 18*u - 1452*u**2 + 1453*u**2 + 22 + 43 = 0.
-13, -5
Let l(d) be the second derivative of -2/3*d**3 + 2*d - 4*d**2 + 1/3*d**4 + 0. Factor l(o).
4*(o - 2)*(o + 1)
Let g be 1/7 + (-7)/49. Let r(b) be the third derivative of -b**2 + g*b**3 + 0*b + 1/60*b**5 - 1/210*b**7 + 0*b**4 + 0 + 0*b**6. Suppose r(a) = 0. What is a?
-1, 0, 1
Suppose 25*x**2 - 250*x + 73 - 173 - 73 - 67 - 340*x = 0. Calculate x.
-2/5, 24
Let w(j) be the third derivative of -j**10/302400 + j**8/40320 + 13*j**5/60 - 25*j**2 - 2*j. Let b(t) be the third derivative of w(t). Factor b(o).
-o**2*(o - 1)*(o + 1)/2
Determine a, given that -529/4 - 1/4*a**2 - 23/2*a = 0.
-23
Let y(j) be the first derivative of j + 1/2*j**4 + 1/5*j**5 - 1 - 1/6*j**6 - 2/3*j**3 - 1/2*j**2. Factor y(x).
-(x - 1)**3*(x + 1)**2
Let y(p) = 45*p**2 - 40*p + 5. Let o(r) = 8*r**2 + 1. Let q(n) = 5*o(n) - y(n). Factor q(g).
-5*g*(g - 8)
Let k = -8/343 - -57/343. Let o(a) be the third derivative of 3/56*a**4 - 1/140*a**5 + 0*a + 0 - 4*a**2 - k*a**3. Factor o(h).
-3*(h - 2)*(h - 1)/7
Let d(r) be the first derivative of -r**5/5 - 2*r**4 - 23*r**3/3 - 14*r**2 - 12*r - 605. Factor d(l).
-(l + 1)*(l + 2)**2*(l + 3)
Factor -180/7*i - 30/7*i**3 + 3/7*i**4 + 108/7 + 111/7*i**2.
3*(i - 3)**2*(i - 2)**2/7
Let m = 4574926259/828 + -5525271. Let n = -2/207 + m. Factor -15/4*a + n*a**2 + 3/4*a**3 - 3/4*a**4 + 3/2.
-3*(a - 1)**3*(a + 2)/4
Let y = 96 - 98. Let r be (y/(-36))/(32/256). Determine f, given that 4/9*f + 8/9 - r*f**2 = 0.
-1, 2
Let y(j) = -j**3 + 4*j**2 - j - 4. Let x be y(2). Let o(r) be the first derivative of -1/8*r**4 + 0*r + 1/3*r**3 + 0*r**x - 1. Factor o(t).
-t**2*(t - 2)/2
Let h(q) be the second derivative of q**7/294 + 46*q**6/21 + 4232*q**5/7 + 1946720*q**4/21 + 179098240*q**3/21 + 3295407616*q**2/7 + 407*q. Factor h(r).
(r + 92)**5/7
Let w be 54/21 + (-688)/1204. What is m in 26/3*m**3 + 193/3*m**w + 48 + 1/3*m**4 + 104*m = 0?
-12, -1
Let z be (-260)/(-16) - 9/(-180)*5. Factor 9 + 9*s**2 - z*s - 3/2*s**3.
-3*(s - 3)*(s - 2)*(s - 1)/2
Let f(d) be the second derivative of -d**5/50 - d**4/5 + d**3 - 8*d**2/5 + d + 13. Factor f(v).
-2*(v - 1)**2*(v + 8)/5
Let r(o) be the third derivative of 5*o**5/2 - 37*o**4/3 - 4*o**3/3 - 33*o**2. Suppose r(w) = 0. What is w?
-2/75, 2
Let x = -3434 - -120163/35. Let l = 3/35 - x. Solve 18/7*s**3 + 2/7 - 10/7*s + l*s**2 = 0.
-1, 1/3
Let v(b) be the first derivative of -b**4/2 - 14*b**3/9 - 5*b**2/3 - 2*b/3 - 7. Solve v(q) = 0.
-1, -1/3
Let j = -36 - -35. Let v(y) = 3 + 5*y**2 - 4 - y - 6*y**2. Let g(z) = -4*z**2 - 6*z - 4. Let d(m) = j*g(m) + 2*v(m). Solve d(n) = 0.
-1
Find a, given that -1/6*a**2 + 16/3 - 31/6*a = 0.
-32, 1
Let x(r) = r**4 - 17*r**3 - 48*r**2 - 12*r + 64. Let d(h) = -h**3 - 2*h. Let n(c) = 4*d(c) - x(c). Factor n(v).
-(v - 16)*(v - 1)*(v + 2)**2
Suppose -1585*n**3 - 1/3*n**5 - 47*n**4 + 1728 - 5136*n + 15121/3*n**2 = 0. Calculate n.
-72, 1
Suppose p - 3 = -2*m + 2*p, -5*m + 11 = p. Solve -2*t**3 + 30 + 25 - 55 - 6*t**m + 8*t = 0 for t.
-4, 0, 1
Let c(m) be the third derivative of m**6/540 - m**5/90 - m**4/27 + 4*m**3/9 - 6*m**2 + 8. Solve c(u) = 0.
-2, 2, 3
Let o(s) = 20*s**3 - 132*s**2 + 140*s + 76. Suppose 16 = m + 5*c, 2*c - 20 = 3*m - 0*c. Let f(w) = -w - 1. Let z(a) = m*f(a) + o(a). Let z(d) = 0. Calculate d.
-2/5, 2, 5
Let f(t) be the third derivative of 57*t**2 + 0*t + 0 - 11/12*t**4 + 1/5*t**5 - 2/3*t**3. Factor f(v).
2*(v - 2)*(6*v + 1)
Let m(f) be the second derivative of -1/4*f**4 - 1/8*f**5 + 2*f**2 - 1/60*f**6 + 2*f + 1/3*f**3 - 3. Factor m(q).
-(q - 1)*(q + 2)**3/2
Let d(w) be the second derivative of 0*w**2 + 1/15*w**3 - 4*w + 2/15*w**4 + 0. Let d(n) = 0. What is n?
-1/4, 0
Let q(x) be the first derivative of -x**9/4536 + x**8/1890 + x**7/945 + 22*x**3/3 + 15. Let l(k) be the third derivative of q(k). Find w such that l(w) = 0.
-2/3, 0, 2
Suppose -2*d = -1 - 3. Let r be (0 - 8) + (-124)/(-14)*1. Find y such that 2/7 + r*y**d - 6/7*y - 2/7*y**3 = 0.
1
Let k(s) = -s - 3. Let n be k(-5). Factor -9*m + 30 - 36 - n*m**2 - m**2.
-3*(m + 1)*(m + 2)
Let g(v) be the second derivative of v**4/30 - 36*v**2/5 + 300*v. Factor g(n).
2*(n - 6)*(n + 6)/5
Let c(v) be the second derivative of -2*v**6/15 + 2*v**4/3 - 2*v**2 - 8*v - 27. Determine w so that c(w) = 0.
-1, 1
Let l(q) be the third derivative of q**6/480 + q**5/40 + 5*q**4/96 + 14*q**2 - 6. Solve l(z) = 0 for z.
-5, -1, 0
Let w(j) = -j**2 + 6*j - 7. Let y be w(5). Let i be y*(7 + -4)/(-3). Factor 4 + 4*h + 1 + i*h**2 - 3.
2*(h + 1)**2
Let l be (-31)/(-7) - 21/49. Let t be 5 - (0 + 0/4). Factor -n**5 + 2*n + n**4 + 2*n**t - 3*n**5 + 4*n**2 - 5*n**l.
-2*n*(n - 1)*(n + 1)**3
Let z(v) be the third derivative of v**8/126 - 23*v**7/315 + 13*v**6/90 + 4*v**5/45 - 8*v**2 + 6*v. Suppose z(h) = 0. What is h?
-1/4, 0, 2, 4
Determine j so that -8665 - 1307 + 5172 + 240*j - 3*j**2 = 0.
40
Suppose -168*b - 654 = -386*b. Solve 8/3 - 8/3*k - 2*k**2 + 8/3*k**b - 2/3*k**4 = 0 for k.
-1, 1, 2
Solve -150/7 + 3/7*n**5 + 174/7*n**2 - 24/7*n**4 - 15/7*n + 12/7*n**3 = 0 for n.
-2, -1, 1, 5
Factor 0 + 1/6*n**4 - 1/6*n**2 - 1/6*n**3 + 1/6*n.
n*(n - 1)**2*(n + 1)/6
Let i = -4760 + 4763. Factor 0*b + 0 + 16/7*b**5 + 0*b**2 - 20/7*b**4 + 4/7*b**i.
4*b**3*(b - 1)*(4*b - 1)/7
Let f = -44/37 + 368/185. Determine p, given that 0*p + 0*p**2 + 4/5*p**4 + 0 + f*p**3 = 0.
-1, 0
Let a(k) be the second derivative of 1331*k**7/63 + 968*k**6/5 + 5489*k**5/10 + 3667*k**4/9 + 412*k**3/3 + 24*k**2 - 115*k. Factor a(v).
2*(v + 3)**2*(11*v + 2)**3/3
Let d(g) = 2*g**3 + 47*g**2 - 212*g + 210. Let i(y) = y**3 + 23*y**2 - 104*y + 104. Let s(x) = 2*d(x) - 5*i(x). Factor s(a).
-(a - 2)**2*(a + 25)
Let y(f) = -10*f + 1. Let o(z) = z**2 + 244*z - 182. Let m(a) = 2*o(a) + 14*y(a). Factor m(d).
2*(d - 1)*(d + 175)
Let l be 620/68 - 12/(-408)*-4. Let c(a) be the first derivative of -1/7*a - 1/7*a**2 + l - 1/21*a**3. Suppose c(t) = 0. Calculate t.
-1
Suppose 3*g - 3 = c + 2*c, -3*c = -5*g + 9. Factor -20*d**5 + g*d**2 + 22*d**5 - 18*d**3 + 19*d**2 + 2*d**4 - 8*d.
2*d*(d - 1)**3*(d + 4)
Factor 12/7*a**2 + 16/7*a + 0*a**3 + 6/7 - 2/7*a**4.
-2*(a - 3)*(a + 1)**3/7
Let n be (-112)/196 + (-442)/378. Let m = -2/27 - n. Factor -m*w - 2/3 - 1/3*w**3 - 4/3*w**2.
-(w + 1)**2*(w + 2)/3
Suppose -5*o + 5 + 11 = 2*n, -n + 6 = 2*o. Let i be 3/30*(0 + o). Solve -i*p**5 - 2/5*p**3 - 6/5*p**4 + 4/5*p + 6/5*p**2 + 0 = 0.
-2, -1, 0, 1
Let i(d) be the third derivative of 0*d - 28*d**2 - 1/40*d**5 + 1/160*d**6 + 1/4*d**3 + 0 - 1/32*d**4. Factor i(a).
3*(a - 2)*(a - 1)*(a + 1)/4
Suppose -2*l - 43 = -15. Let y = 14 + l. Suppose -u**2 + 1/2*u**3 + y + 0*u - 1/2*u**5 + u**4 = 0. Calculate u.
-1, 0, 1, 2
Let o(c) be the second derivative of 1/8*c**3 - 3/80*c**5 + 0 - 1/16*c**4 + 1/40*c**6 + 20*c + 0*c**2. Factor o(n).
3*n*(n - 1)**2*(n + 1)/4
Let c(u) be the third d