+ 1/1008*w**8 + 0 - 1/18*w**4 - 5*w**2. Factor i(z).
z*(z - 1)*(z + 1)*(z + 2)**2/3
Let y(j) be the first derivative of -j**5/180 + j**4/24 - j**3/9 - 8*j**2 - 17. Let z(d) be the second derivative of y(d). Let z(n) = 0. What is n?
1, 2
Suppose -10 = 4*c + 2*f, -45*f + 5 = c - 46*f. Let s(p) be the second derivative of -1/24*p**4 - 3*p + 0*p**3 + 1/80*p**5 + 0*p**2 + c. Solve s(h) = 0 for h.
0, 2
Suppose 5*p - 3*x - 115 + 3 = 0, p - 4*x - 19 = 0. Suppose 4*k = 13 + p. Let 0 - 1 + k*h - 15*h + h**2 - h**3 + 7*h = 0. What is h?
-1, 1
Factor -2/15*m**2 + 88/15*m - 968/15.
-2*(m - 22)**2/15
Let m be 7*-19 + 3 + (5 - 6). Let s = 133 + m. Factor 1/3*b**s - 2/3 - 1/3*b.
(b - 2)*(b + 1)/3
Let j be (-19)/(-12) + (-20)/30. Let l = 7/6 - j. Suppose -15/4*o**4 + 7/2*o**2 + 1/2*o**3 - 9/4*o**5 + l + 7/4*o = 0. What is o?
-1, -1/3, 1
Let g(i) be the first derivative of 8*i**6/39 - 24*i**5/65 - 45*i**4/13 + 18*i**3/13 + 324*i**2/13 + 486*i/13 + 116. Factor g(x).
2*(x - 3)**2*(2*x + 3)**3/13
Let u(c) be the second derivative of -3*c**5/20 + 5*c**4/2 - 33*c**3/2 + 54*c**2 + 95*c. Factor u(b).
-3*(b - 4)*(b - 3)**2
Let l(v) = -v**2 + 20*v - 9. Let x be l(-7). Let t = x - -202. Factor -2 - t*o - 3/2*o**2.
-(o + 2)*(3*o + 2)/2
Let a be (-5 - (-24)/2)*1. Let m be (2/1 + a)/((-8)/(-2)). What is f in 15/2*f**3 + 3 - 9/4*f**4 - m*f**2 - 9*f = 0?
-1, 1/3, 2
Let s(x) be the third derivative of 0*x + 0*x**3 - 6*x**2 + 0*x**4 + 1/300*x**5 + 0. What is o in s(o) = 0?
0
What is m in 341*m + 127*m - 2*m**2 - 18252 - m**2 = 0?
78
Let n be ((4/(-8))/(-1))/(215/(-20) + 12). Factor 8/5*r - n*r**2 + 2.
-2*(r - 5)*(r + 1)/5
Let k(s) be the second derivative of s**7/168 + 2*s**6/15 + 7*s**5/20 - s**4/24 - 29*s**3/24 - 7*s**2/4 + 304*s + 2. Solve k(o) = 0 for o.
-14, -1, 1
Let c = -2665 + 10661/4. Suppose 0*j**4 - 1/4*j**5 + 0*j**2 + 0 + 1/2*j**3 - c*j = 0. Calculate j.
-1, 0, 1
Let y(k) be the first derivative of -k**2 - 1/16*k**4 + 16 + 5/12*k**3 + k. Factor y(m).
-(m - 2)**2*(m - 1)/4
Suppose -40*h + 39*h - 1 = 0. Let t be ((-22)/33)/((h/(-3))/(-1)). Solve -2/5 - 4/5*o - 2/5*o**t = 0.
-1
Let j(w) be the third derivative of 2*w**7/315 - w**6/30 - 2*w**5/9 + 74*w**2. Solve j(q) = 0.
-2, 0, 5
Let f(y) be the third derivative of y**9/151200 - y**8/16800 + y**7/6300 + 7*y**4/24 + 9*y**2. Let j(z) be the second derivative of f(z). Factor j(o).
o**2*(o - 2)**2/10
Let b = 1/577 + 3445/9809. Factor b - 2/17*p**3 - 14/17*p + 10/17*p**2.
-2*(p - 3)*(p - 1)**2/17
Let p(n) be the third derivative of -n**9/13608 + n**7/1890 - n**5/540 + n**3 - 8*n**2. Let c(i) be the first derivative of p(i). What is o in c(o) = 0?
-1, 0, 1
Let w(d) = 3*d**2 + 5*d + 4. Let u(m) = 4*m**2 + 4*m + 5. Let b(k) = -2*u(k) + 3*w(k). Let r(g) = 3*g**2 + 29*g + 8. Let c(q) = -9*b(q) + 2*r(q). Factor c(n).
-(n + 1)*(3*n + 2)
Let c(v) = 3*v**3 - 263*v**2 + 172*v + 174. Let n be c(87). Factor -3/5*w + n - 1/5*w**2.
-w*(w + 3)/5
Let q be (10/18)/1*(-1472)/(-3680). Factor 4/9*z - 2/3*z**2 + q*z**3 + 0.
2*z*(z - 2)*(z - 1)/9
Let d(y) be the third derivative of y**7/945 - y**6/180 - y**5/270 + y**4/36 + 59*y**2. Solve d(r) = 0.
-1, 0, 1, 3
Let a(q) be the first derivative of 3*q**5/55 - 4*q**4 + 116*q**3/33 + 202. Factor a(p).
p**2*(p - 58)*(3*p - 2)/11
Let l(b) be the second derivative of -7*b**6/10 - 111*b**5/20 - 13*b**4 - 6*b**3 - 13*b - 1. Factor l(n).
-3*n*(n + 2)*(n + 3)*(7*n + 2)
Let n = -4080 + 16323/4. Solve -3/4*b**2 + n*b + 3/2 = 0 for b.
-1, 2
Let x be (0 + -1)/(2 + 25/(-10)). Let t(a) be the second derivative of 0 + 0*a**x - 5/72*a**4 - 1/30*a**5 + 10*a - 1/18*a**3 - 1/180*a**6. Factor t(h).
-h*(h + 1)**2*(h + 2)/6
Let c = 428/3 - 41941/294. Let k(a) be the second derivative of -c*a**7 + 0 - 3/70*a**6 + 0*a**3 - 1/28*a**4 - 9/140*a**5 + 0*a**2 - 5*a. Factor k(s).
-3*s**2*(s + 1)**3/7
Let k = 1/12215 - -12211/48860. Solve 1/2*o**2 - 1/4*o**3 + 0 - k*o = 0.
0, 1
Let m be (-9)/(-8)*(-188)/(-141). Let f(l) be the first derivative of -4/3*l**3 - 2/5*l**5 + m*l**4 + 0*l**2 + 6 + 0*l. Factor f(i).
-2*i**2*(i - 2)*(i - 1)
Let m(u) = u**2 - 5*u + 6. Let h = -49 + 53. Let i be m(h). Factor 7/3*x - 16/3*x**3 - 8/3*x**i - 1/3.
-(x + 1)*(4*x - 1)**2/3
Factor -8*f - 1/4*f**3 - 5/2*f**2 - 8.
-(f + 2)*(f + 4)**2/4
Let -32 + 4*b**3 + 17 + 104*b**2 + 15 + 0*b**3 = 0. Calculate b.
-26, 0
Let v(b) be the third derivative of -b**5/5 + b**3/2 + 5*b**2. Let i(g) = g**2 + 1. Let q(c) = -9*i(c) - v(c). Factor q(h).
3*(h - 2)*(h + 2)
Factor -32/7*n + 2/7*n**2 + 128/7.
2*(n - 8)**2/7
Let y be (-24 - -64)*(-3)/(-2). Find i, given that y*i**4 - 60*i**2 - 9*i + 29*i + 25*i**3 + 15*i**5 - 60*i**5 = 0.
-1, 0, 2/3, 1
Let c be ((60/(-18))/(-5))/(4/66). Suppose 4 = -c*f + 26. Factor -3/4*l**f + 3/4*l**3 - 1/4*l**4 + 1/4*l + 0.
-l*(l - 1)**3/4
Let p(n) be the first derivative of -n**4/4 + n**3/6 + n**2 + 4*n - 18. Let b(y) be the first derivative of p(y). Factor b(q).
-(q - 1)*(3*q + 2)
Factor -4*g**3 + 0*g - 56*g**4 + 4*g + 104*g**4 + 2*g**2 - 50*g**4.
-2*g*(g - 1)*(g + 1)*(g + 2)
Let k(u) be the third derivative of 0*u - 3/4*u**5 - 5/42*u**7 + 0 + 0*u**3 + 5/12*u**4 + 10*u**2 + 1/2*u**6. Determine j so that k(j) = 0.
0, 2/5, 1
Let n = 3433/6 + -572. Let u(p) be the second derivative of 1/30*p**5 + 1/3*p**3 + p + 0 - n*p**4 - 1/3*p**2. Find s, given that u(s) = 0.
1
Let d(k) be the third derivative of -k**7/5040 - k**4/4 - 5*k**2. Let m(o) be the second derivative of d(o). Solve m(w) = 0 for w.
0
Let w(m) be the first derivative of -m**3/2 + 129*m**2/2 - 5547*m/2 + 331. Find s such that w(s) = 0.
43
Let x(u) = 11*u**2 + 4*u. Let q(o) = -3*o - 5*o + 5*o**2 + 4*o + 6*o. Let w(h) = 13*q(h) - 6*x(h). Factor w(y).
-y*(y - 2)
Suppose -2*y = 2*y. Suppose 5*f - 5*r = 0, 3*r = 9*f - 4*f - 4. Determine b so that -1/4*b**4 + y + 0*b + 0*b**3 + 1/4*b**f = 0.
-1, 0, 1
Let z(a) be the third derivative of a**6/75 + 11*a**5/75 - 7*a**4/30 - 4*a**3/5 + 5*a**2 + 4*a. Factor z(s).
4*(s - 1)*(s + 6)*(2*s + 1)/5
Let q = -2911/8 + 364. Let d(w) be the second derivative of q*w**4 + 4*w - 1/60*w**6 + 0 + 1/40*w**5 - 1/2*w**2 - 1/12*w**3. Factor d(x).
-(x - 2)*(x - 1)*(x + 1)**2/2
Let t(j) = 16*j**2 + 43*j + 267. Let i(k) = -7*k**2 - 21*k - 134. Let r(p) = -13*i(p) - 6*t(p). Factor r(n).
-5*(n - 7)*(n + 4)
Let y = -98314/5 + 19355. Let q = 308 + y. Suppose q - 4/5*a**3 - 1/5*a**2 + 4/5*a = 0. What is a?
-1, -1/4, 1
Let w(s) be the first derivative of s**6/15 - 5*s**4/6 + 4*s**2 - 4*s + 2. Let l(v) be the first derivative of w(v). Solve l(a) = 0.
-2, -1, 1, 2
Let j(v) be the second derivative of -10*v**7/63 - 19*v**6/18 - v**5/4 + 85*v**4/18 - 20*v**3/9 + 28*v - 2. Suppose j(m) = 0. What is m?
-4, -2, 0, 1/4, 1
Let w = 308 + -6159/20. Let a(q) be the second derivative of -w*q**4 + 0 - 3/10*q**2 - 5*q + 1/5*q**3. Solve a(t) = 0.
1
Let o(j) = -2*j**2 - 21*j + 328. Let d be o(-19). Let a(n) be the third derivative of -1/12*n**4 - 4/15*n**3 + 3*n**2 + 0*n - 1/150*n**d + 0. Factor a(m).
-2*(m + 1)*(m + 4)/5
Let o(l) = 21 + 0 - l - 10. Let t be o(6). Factor -9/4*y**2 - 11/4*y**4 + 3/4*y**t + 0 + 1/2*y + 15/4*y**3.
y*(y - 1)**3*(3*y - 2)/4
Let m(q) be the first derivative of 9 - 5/19*q**2 + 4/57*q**3 + 6/19*q. Suppose m(n) = 0. Calculate n.
1, 3/2
Let q = 0 + 0. Let a = -1669/3 - -557. Factor -a*x**3 + 8/3*x**2 + q - 8/3*x.
-2*x*(x - 2)**2/3
Let v(i) be the third derivative of 3*i**7/70 - i**6/4 + 11*i**5/20 - i**4/2 + 217*i**2. Factor v(u).
3*u*(u - 1)**2*(3*u - 4)
Let z = 4280/81939 - 2/2101. Let y(j) be the first derivative of 0*j**2 - 8 - z*j**3 + 0*j. Factor y(q).
-2*q**2/13
Let 0 + 8/5*r**2 + 4/5*r**3 - 32/5*r = 0. What is r?
-4, 0, 2
Let m(w) be the first derivative of -w**3/3 - 15*w**2/2 + 4*w - 14. Let c(x) = -4*x**2 - 45*x + 11. Let y(o) = 4*c(o) - 11*m(o). Factor y(k).
-5*k*(k + 3)
Let d = 146/15 + -37/5. Let s = 8/1357 - -22997/12213. Find h, given that 2/9 + 11/9*h + d*h**2 + 5/9*h**4 + s*h**3 = 0.
-1, -2/5
Solve 51*w**3 + 133*w**4 - 48 - 156*w - 33*w**4 - 45*w**4 - 72*w**2 - 40*w**4 = 0 for w.
-4, -1, -2/5, 2
Let u(j) = j**2 + 5*j - 4. Let h be u(-5). Let q(w) = -8*w**2 - 6*w + 9. Let m(x) = -3 + 2 + x**2 - 43*x + 44*x. Let g(y) = h*q(y) - 36*m(y). Factor g(r).
-4*r*(r + 3)
Let i(b) be the second derivative of 5*b**6 + 49*b**5/4 - 65*b**4/4 - 30*b**3 - 10*b**