vative of -h**9/12096 - h**8/1680 - h**7/672 - h**6/720 + 22*h**3/3 + 23. Let j(d) be the third derivative of l(d). Factor j(p).
-p**2*(p + 1)**2*(p + 2)/4
Let b be 0 + (-2)/13 - (-486)/117. Find v, given that 4*v**3 + 6*v**3 + 12*v**2 + 10*v**4 - 3*v**4 - 5*v**b = 0.
-3, -2, 0
Suppose -16 = -3*m - 4. Determine t, given that -6*t**3 - m*t**3 + 5*t**5 - 4*t**4 - t**4 = 0.
-1, 0, 2
Let l(m) = 3*m**3 + 33*m**2 + 26*m + 2. Let u(y) = 2*y - 1. Let k(b) = l(b) + 2*u(b). Find s such that k(s) = 0.
-10, -1, 0
What is q in 3*q**4 - 1659*q + q**4 + 144 - 148*q**2 - q**4 + 1695*q + q**4 - 36*q**3 = 0?
-3, -1, 1, 12
Let j(f) be the third derivative of -1/10*f**5 - 3/2*f**3 + 1/14*f**7 + 3/20*f**6 + 0*f - 7/8*f**4 + 21*f**2 + 1/112*f**8 + 0. Solve j(b) = 0 for b.
-3, -1, 1
Let s(w) = w**3 - 3*w**2 + 9*w - 2. Let f be s(3). Find h, given that -3*h**3 - 3*h**2 - 10*h + f*h**4 - 22*h**2 + 13*h**3 = 0.
-1, -2/5, 0, 1
Factor 5*v**5 + 1 + 7644*v**2 - 13*v**4 - 7*v**4 - 1 - 7654*v**2 + 25*v**3.
5*v**2*(v - 2)*(v - 1)**2
Let a = -72 + 74. Determine p, given that -39*p + 26*p + 19*p - 3*p**a + 0*p**2 = 0.
0, 2
Let l(r) be the second derivative of -r**6/135 - r**5/10 - 5*r**4/9 - 44*r**3/27 - 8*r**2/3 - 2*r - 14. Determine w, given that l(w) = 0.
-3, -2
Let j(m) = -42*m**3 + 213*m**2 + 45*m - 24. Let x(d) = -42*d**3 + 215*d**2 + 44*d - 23. Let o(q) = 7*j(q) - 6*x(q). Factor o(p).
-3*(p - 5)*(2*p + 1)*(7*p - 2)
Let h be -2*153/4*2/(-3). Find c such that -12 - 5*c**4 + 60*c**2 - c**4 + 22*c - h*c**2 + 2*c - 15*c**3 = 0.
-2, 1/2, 1
Let o(l) be the first derivative of l**5/40 - 5*l**4/16 - l**3/24 + 5*l**2/8 - 174. Find m such that o(m) = 0.
-1, 0, 1, 10
Factor 13 + 255*t - 59 + 50*t**2 - 15*t**3 + 10 - 54.
-5*(t - 6)*(t + 3)*(3*t - 1)
Let m(t) be the second derivative of -t**8/320 + 9*t**7/1120 - t**6/240 + t**3/6 - 15*t. Let p(y) be the second derivative of m(y). Factor p(a).
-3*a**2*(a - 1)*(7*a - 2)/4
Let l be ((-6)/(-1))/((-6)/(-4)). Factor -7*r**2 + 6*r**3 - 6 - 3*r**l - 5*r**3 - 21*r - 16*r**3 - 20*r**2.
-3*(r + 1)**3*(r + 2)
Let g = -33962/7 - -4852. Let -3/7*f - 1/7*f**2 - g = 0. Calculate f.
-2, -1
Suppose 0 = 2*d - 3*l - 23, 0 = 2*d - 4*l + 2*l - 18. Suppose r - d = -r. Suppose 3*f + 4/3*f**r + 2/3 = 0. Calculate f.
-2, -1/4
Let w be -24 + -1 + (-1965)/(-75). Find z, given that -27/5*z**2 - 9/5*z**5 - 9*z**3 - w*z - 33/5*z**4 + 0 = 0.
-1, -2/3, 0
Let y(u) = -u**5 + 21*u**4 - 37*u**3 + 35*u**2 - 8*u. Let g(l) = l**4 - l**3 + l**2. Let m(c) = 30*g(c) - 3*y(c). Factor m(z).
3*z*(z - 8)*(z - 1)**3
Let p(t) be the second derivative of t**5/12 - 5*t**4/24 + 25*t**2/2 + 12*t. Let r(m) be the first derivative of p(m). Factor r(d).
5*d*(d - 1)
Let b(t) be the second derivative of -t**8/1680 + t**7/420 - t**6/360 + 7*t**3/3 + 18*t. Let o(w) be the second derivative of b(w). Factor o(a).
-a**2*(a - 1)**2
Let b be 18/8 - 2/8. Let -9*f - f - 2*f**2 + 10*f**3 - 3*f**b + 5 = 0. What is f?
-1, 1/2, 1
Let t(w) be the third derivative of -w**5/12 + 5*w**4/4 - 25*w**3/6 + 32*w**2 + 2. Factor t(s).
-5*(s - 5)*(s - 1)
Factor -32 - 9*g**2 + 22*g**2 + 13*g - g - 11*g**2.
2*(g - 2)*(g + 8)
Let g(m) = m**2 - m + 1. Let t be (4/(-10))/(3/195). Let s = t + 31. Let i(q) = 3*q**2 - 4*q + 2. Let o(b) = s*i(b) - 10*g(b). What is x in o(x) = 0?
0, 2
Suppose 0 = -0*c - 4*c + 2*o - 10, 5*c = 2*o - 10. Let n(t) be the second derivative of 3/2*t**2 + c - 1/4*t**4 + 0*t**3 + 2*t. Find f, given that n(f) = 0.
-1, 1
Factor 16/5*u - 11/10 + 3/10*u**2.
(u + 11)*(3*u - 1)/10
Let c be (22/(-6))/(-1) + 52/(-78). Let a be (-405)/(-140) - (-15)/(-20). Factor -a*g**4 - 6/7*g + 0 - c*g**2 - 3/7*g**5 - 27/7*g**3.
-3*g*(g + 1)**3*(g + 2)/7
Let r(v) = -4*v**3 - 5*v**2 - 13*v - 9. Let m be r(-1). What is l in -3/4*l**4 + 1/2*l**5 + 0 - 3/4*l**m - 3/4*l + 7/4*l**2 = 0?
-3/2, 0, 1
Let m(d) = d**3 + 4*d**2 - d + 2. Let x be m(-4). Factor -6 - 15*f - 10*f**2 + 22 - x.
-5*(f + 2)*(2*f - 1)
Let l be 8/(-6)*(-3)/(-8)*-4. Let d(k) be the second derivative of 0 + 2*k - 1/36*k**4 + 0*k**l - 1/6*k**3. Factor d(h).
-h*(h + 3)/3
Let g(h) be the first derivative of 2*h**3/9 - 2*h**2 + 16*h/3 - 30. Factor g(t).
2*(t - 4)*(t - 2)/3
Let y = 146 - 142. Let c(a) be the second derivative of 1/15*a**6 + 4/5*a**5 + 0 + 32/3*a**3 + 4*a**4 + 16*a**2 + y*a. Factor c(j).
2*(j + 2)**4
Let y(j) = -5*j**4 + j**3 + 2*j**2 - 2*j + 2. Let q(m) = -4*m**3 - m**4 - 3*m**2 - 2*m + 3*m**3 + 4*m**2 + 1 + m. Let g(z) = 2*q(z) - y(z). Factor g(v).
3*v**3*(v - 1)
Let r = 29 - 26. Factor 2*n**4 + 4*n - 9*n**2 + n**5 - 4*n + 7*n**2 - n**r.
n**2*(n - 1)*(n + 1)*(n + 2)
Let r be 36/216 - 9/54. Factor 49/3*z**5 + r - 7*z**4 + 0*z - 8*z**3 - 4/3*z**2.
z**2*(z - 1)*(7*z + 2)**2/3
Let q(x) be the third derivative of -x**6/180 + x**5/45 + 2*x**4/9 - 2*x**2 - 33*x. Factor q(s).
-2*s*(s - 4)*(s + 2)/3
Let a(n) be the first derivative of n**3/4 + 39*n**2/2 - 159*n/4 + 224. Factor a(w).
3*(w - 1)*(w + 53)/4
Suppose 0 = -z + 2 + 2. Let h = 14/45 + 16/45. Determine w so that -h*w**z + 0 + 8/3*w**3 - 10/3*w**2 + 4/3*w = 0.
0, 1, 2
Let f(c) = c**3 - 1. Let d(g) = -g**4 + 5*g**3 + 24*g**2 + 26*g + 10. Let h(r) = -2*d(r) - 2*f(r). Let h(s) = 0. Calculate s.
-1, 9
Let z be (11/231)/((-18)/(-21)). Let q(i) be the first derivative of z*i**3 + 2/3*i + 1/3*i**2 + 10. Factor q(k).
(k + 2)**2/6
Let s(d) = -d**3 - 4*d**2 + 32*d + 107. Let p be s(-3). Solve -2/9*j**p + 2/3 + 4/9*j = 0 for j.
-1, 3
Factor 46*v**2 - 11073 + 11073 + 45*v - v**3 + 2*v.
-v*(v - 47)*(v + 1)
Factor -25/3*o**3 - 20/3*o + 0 + 5/3*o**4 + 40/3*o**2.
5*o*(o - 2)**2*(o - 1)/3
Let a(m) be the first derivative of -m**5/25 + 3*m**4/20 + m**3/15 - 3*m**2/10 + 53. Find t such that a(t) = 0.
-1, 0, 1, 3
Suppose 0 = 154*c - 129*c. Find g such that 9/2*g**3 + 0*g + c + 3/2*g**4 - 6*g**2 = 0.
-4, 0, 1
Let -21*g - 33*g**3 - 2*g**5 + 9/2 + 27/2*g**4 + 38*g**2 = 0. What is g?
3/4, 1, 3
Let 9/2*o**2 - 3/2*o**4 + 1/2*o**3 - 9/2*o + 1 = 0. Calculate o.
-2, 1/3, 1
Let r(h) be the third derivative of 0*h + 0*h**4 + 0 - 16*h**2 + 0*h**5 - 1/224*h**8 + 0*h**3 - 1/40*h**6 + 3/140*h**7. Factor r(q).
-3*q**3*(q - 2)*(q - 1)/2
Let z(p) be the first derivative of 0*p + 1/8*p**2 - 1/16*p**4 + 6 + 0*p**3. Factor z(k).
-k*(k - 1)*(k + 1)/4
Suppose l = -4 + 10. Suppose -2*k = -3*n - 0 + l, -10 = -5*n + k. What is d in 0*d - 4 + 0*d - 2*d**n + 6*d = 0?
1, 2
Let t(w) = 2*w**4 - 2*w**3 - 11*w**2 + 14*w - 10. Let z(u) = u**4 - u**3 - 5*u**2 + 6*u - 6. Let y(m) = 6*t(m) - 10*z(m). Factor y(j).
2*j*(j - 2)**2*(j + 3)
Let a be -3*(-4)/54*21/84. Let v(b) be the second derivative of -a*b**3 - 3*b + 0 + 1/36*b**4 - 1/3*b**2. Find t such that v(t) = 0.
-1, 2
Determine j so that 6 - 1/5*j**2 + 13/5*j = 0.
-2, 15
Let i(l) = 2*l**3 + 7*l**2 - 4*l**3 + 3*l**3 - 3*l. Let j(x) = 2*x**3 + 22*x**2 - 8*x. Let p(c) = 8*i(c) - 3*j(c). Factor p(m).
2*m**2*(m - 5)
Suppose -4*d + 5*q + 7 = 0, 0 = d - q - 0*q - 3. Let a be ((-12)/d)/((-2)/12). Factor 3*g + g**2 + a*g - 16*g + 5*g.
g*(g + 1)
Let c(v) be the second derivative of 2/3*v**3 + 0*v**4 - 14*v + 0 - 1/5*v**5 + 0*v**2. Find g such that c(g) = 0.
-1, 0, 1
Factor -17*s + 103/3*s**2 - 53/3*s**3 + 1/3*s**4 + 0.
s*(s - 51)*(s - 1)**2/3
Let v(b) = -3*b**2 - 109*b - 416. Let o be v(-32). Factor 0*c + 0*c**3 + 3/2*c**4 - 3/2*c**2 + o.
3*c**2*(c - 1)*(c + 1)/2
Let q be 105/70 - 18/(-4). Let c be 2/8 - (9/q + -2). Factor 3/2*i + c*i**2 + 0.
3*i*(i + 2)/4
Let z(c) be the third derivative of c**6/600 + 7*c**5/150 + 11*c**4/30 + 4*c**3/3 - 444*c**2. Factor z(y).
(y + 2)**2*(y + 10)/5
Let g(z) be the third derivative of -z**8/30240 - z**7/7560 + z**5/4 - 15*z**2. Let i(t) be the third derivative of g(t). Factor i(b).
-2*b*(b + 1)/3
Find j, given that 0 - 4*j**4 + 1/2*j**5 + 0*j**3 + 0*j + 0*j**2 = 0.
0, 8
Let m = 9 - 8. Let f be (38 - 1)*(21 - m). Factor -2*d + 740 - f - d**2 + d**3.
d*(d - 2)*(d + 1)
Let f = 32 + -28. Factor -4*r**4 - 4*r**5 - f*r**3 + 4*r**2 + 13*r**5 - 5*r**5.
4*r**2*(r - 1)**2*(r + 1)
Let v(y) = y**3 - 8*y**2 - 10*y + 12. Let t be v(9). Find o, given that -2*o**t + 2*o**2 - 9*o**2 + 4*o**2 - o = 0.
-1, -1/2, 0
Let k(j) = 20*j**4 + 80*j**3 + 50*j**2 - 10*j + 25. Let a(v) = -5*v**4 - 20*v**3 - 13*v**2 + 2*v - 6. Let r(q) = 25*a(q) + 6*k(q). Determine i so that r(i) = 0.
-2, -1, 0
Let s be -8*2