cond derivative of o**5/120 - o**4/24 + o**2/3 - 130*o. Solve k(b) = 0.
-1, 2
Let r(y) be the second derivative of -y**6/480 + y**5/240 + y**4/96 - y**3/24 - 3*y**2/2 - 6*y. Let v(x) be the first derivative of r(x). Solve v(o) = 0.
-1, 1
Let t = 9 - 5. Suppose 0 = 6*c - t*c. Factor c*j**2 + 2*j**3 + 4*j**2 + 0*j + 0*j.
2*j**2*(j + 2)
Let j(y) be the third derivative of y**7/420 - y**6/80 - y**5/30 + 99*y**2. Factor j(m).
m**2*(m - 4)*(m + 1)/2
Let k(u) = 12*u + 86. Let l be k(-7). Let a(g) be the second derivative of -1/2*g**3 + g + 0 + 0*g**l - 1/4*g**4. Determine t, given that a(t) = 0.
-1, 0
Let p be ((-5)/(-9) - 0)*3/70. Let m(a) be the third derivative of a**2 - p*a**4 + 0*a + 1/420*a**6 + 0*a**3 + 0 - 1/210*a**5. Factor m(i).
2*i*(i - 2)*(i + 1)/7
Let y(w) = w**3 - w**2 + 6*w + 7. Let x be y(-1). Let q be (x/3)/(2/(-18)). Factor 0 - 3/7*i**2 + 3/7*i**q + 0*i.
3*i**2*(i - 1)/7
Let q(i) = i**3 - i + 1. Let p(b) = 6*b**3 - 8*b**2 + 6*b. Let u be 4/(2 + 2) - 0. Let z(c) = u*p(c) - 4*q(c). Factor z(x).
2*(x - 2)*(x - 1)**2
Let c(o) be the first derivative of -3*o**5/5 - 63*o**4/2 - 397*o**3 + 1386*o**2 - 1452*o - 33. Find s, given that c(s) = 0.
-22, 1
Let a(k) be the third derivative of -k**5/20 + k**4/8 + 50*k**2. Let a(i) = 0. Calculate i.
0, 1
Suppose 2*l - 3 = 3. Suppose -5*x = k - l*k - 19, -3*x = 3*k - 3. Factor 5*j + j**2 - j**4 + 0*j**x - 4*j - j**3.
-j*(j - 1)*(j + 1)**2
Suppose 80*o + 76*o - 160*o = 0. Factor o + 1/2*y**2 + 0*y**3 + 1/4*y**5 - 1/2*y**4 - 1/4*y.
y*(y - 1)**3*(y + 1)/4
Let k be ((-30)/(-25))/((-3)/(-20)). Let z be 2/k + (-6)/24. Determine v, given that z*v**3 - 3*v**5 - 18*v**4 + v**5 - 2*v**3 + 14*v**4 = 0.
-1, 0
Let g(x) be the third derivative of 0*x**4 + 0*x**5 - 14*x**2 + 5/336*x**8 + 0*x - 1/21*x**7 + 0 + 0*x**3 + 1/24*x**6. Factor g(z).
5*z**3*(z - 1)**2
Factor -3*u**2 + 48 + 9*u**3 - 10*u**3 + 3*u**3 + 21*u**2 - 68*u.
2*(u - 2)*(u - 1)*(u + 12)
Let u(r) = 8*r**3 + 8*r**2 - 11. Let y(x) = 3*x**3 + 3*x**2 - 4. Let p be 4/(-2 + 3 - 2). Let a = 0 - p. Let j(b) = a*u(b) - 11*y(b). What is d in j(d) = 0?
-1, 0
Factor -2*p**5 + 61*p**4 - p**5 - 55*p**4 + 9*p**3.
-3*p**3*(p - 3)*(p + 1)
Let u = -66 - -466/7. Let a(c) = 2*c**2 - 57*c - 27. Let n be a(29). Factor 6/7 - 2/7*o**n + u*o.
-2*(o - 3)*(o + 1)/7
Factor 3*q + 40*q**3 + 35*q**2 - 30*q**2 - 3*q.
5*q**2*(8*q + 1)
Let n be 5*-1 + 740/52. Let i = 464/39 - n. Suppose 0 - 1/3*j**5 + 4/3*j**3 + 2/3*j**4 - i*j**2 + 0*j = 0. Calculate j.
-2, 0, 2
Let w = 3 - 1. Let q be 2/(-18) + (-182)/(-18). Factor 12*d**3 + 12*d**4 - d**5 + 5*d**5 + 14*d**w - q*d**2.
4*d**2*(d + 1)**3
Let z(v) = -5*v**2 + 4*v + 6. Let f(i) = -i - 1. Let p(y) = y**2 + 3*y + 3. Let h(s) = 4*f(s) + p(s). Let m(c) = 6*h(c) + z(c). Factor m(d).
d*(d - 2)
Let x(b) = -21 + 3*b**2 + 35*b + 0*b**2 + 0*b**2 + 19. Let m(f) = -20*f**2 - 245*f + 15. Let j(w) = 2*m(w) + 15*x(w). Determine v so that j(v) = 0.
-7, 0
Let n(s) be the first derivative of s**5/40 + 3*s**4/16 + 11*s**3/24 + 3*s**2/8 + 238. Factor n(a).
a*(a + 1)*(a + 2)*(a + 3)/8
Let c(d) = d**3 + 4*d**2 + 2*d - 1. Let q be c(-2). Suppose 0*z + q*z - 6 = 0. Factor 6*k**3 + 0*k**z - 2*k**2 - 4*k**3.
2*k**2*(k - 1)
Let u(l) be the first derivative of -4/9*l**2 + 2/9*l**3 - 8 + 2/9*l. Let u(k) = 0. Calculate k.
1/3, 1
Let c(i) = -9*i**2 + 374*i - 385. Let a(w) = 10*w**2 - 370*w + 385. Let d(j) = 4*a(j) + 5*c(j). Factor d(n).
-5*(n - 77)*(n - 1)
Factor 0 - 3/5*n**3 + 3/5*n**4 + 3/5*n - 3/5*n**2.
3*n*(n - 1)**2*(n + 1)/5
Let m = 22 + -64/3. Suppose -5*p - 706 + 759 = -q, q + 5*p - 57 = 0. Factor 0 + 8/3*c + m*c**3 - 8/3*c**q.
2*c*(c - 2)**2/3
Let x = -32488/57 - -570. Let s(j) be the first derivative of 0*j + x*j**3 + 3 + 2/19*j**2. Factor s(n).
2*n*(n + 2)/19
Let s be (-2)/9 - (-71)/213. Determine t, given that -4/9*t**3 - s*t**4 - 1/9 - 4/9*t - 2/3*t**2 = 0.
-1
Let n(b) = 3*b - 25. Let s be n(12). Let 35*h**3 + h**4 - 21*h**2 - 10*h**4 + h + 5*h - s*h**3 = 0. Calculate h.
0, 2/3, 1
Let t be (-125)/(-20) + -6 - 8/(-96). Find v, given that -4*v + t*v**2 + 12 = 0.
6
Let s = -319/130 + 69/26. Let i(x) be the second derivative of 1/50*x**5 + s*x**3 + 0 + 2/15*x**4 + 0*x**2 + 6*x. Factor i(r).
2*r*(r + 1)*(r + 3)/5
Let j(t) be the first derivative of -t**3/12 + 9*t**2/8 + 11*t/2 + 141. Let j(y) = 0. Calculate y.
-2, 11
Let t = 228 + -228. Let f(r) be the third derivative of -1/120*r**6 + 1/105*r**7 + 0 - 1/10*r**5 - 2*r**2 + 3/16*r**4 + 1/672*r**8 + t*r**3 + 0*r. Factor f(q).
q*(q - 1)**2*(q + 3)**2/2
Suppose 47*r - 51*r + 16 = 0. Let n(x) be the first derivative of -45/4*x**r + 70/3*x**3 + 55/2*x**2 + 10*x - 18*x**5 + 3. Find t such that n(t) = 0.
-2/3, -1/2, -1/3, 1
Let w(y) be the second derivative of -y**5/20 + 7*y**4/12 - 5*y**3/6 - 3*y**2/2 + 28*y. Let r be w(6). Factor h**2 - 1/3*h**r - 2/3*h + 0.
-h*(h - 2)*(h - 1)/3
Suppose -54 = -4*f + 2*f + 4*t, -3*t + 47 = 2*f. Find i, given that -125/2 + f*i - 5/2*i**2 = 0.
5
Let q be (-9)/10*840/(-180). Solve -q*b**2 - 27/5*b - 6/5 = 0.
-1, -2/7
Let h(f) be the third derivative of f**7/6300 - f**6/300 + f**5/60 - 19*f**4/24 + 17*f**2. Let x(k) be the second derivative of h(k). Factor x(b).
2*(b - 5)*(b - 1)/5
Let h(w) be the second derivative of -w**4/18 - 38*w**3/3 - 1083*w**2 - 94*w. Factor h(s).
-2*(s + 57)**2/3
Let t(u) be the second derivative of u**8/6720 - u**7/672 + 7*u**6/1440 - u**5/160 + 7*u**3/6 + 21*u. Let v(d) be the second derivative of t(d). Factor v(z).
z*(z - 3)*(z - 1)**2/4
Let w = -121171/4 + 30304. Suppose w*k + 6 + 9/2*k**2 - 3/4*k**3 = 0. What is k?
-1, 8
Let k(p) be the second derivative of 5*p**7/42 + 2*p**6/3 + p**5 - 5*p. Factor k(a).
5*a**3*(a + 2)**2
Let p = 1/2 - 3/8. Let h = p + 43/40. Determine q, given that 2/5*q - 4/5 + h*q**2 = 0.
-1, 2/3
Let h be (222/(-74))/(2/(-6)). Let k(a) be the first derivative of h + 3/2*a**4 - 16/3*a**3 - 4*a + 7*a**2. Factor k(s).
2*(s - 1)**2*(3*s - 2)
Let z(f) be the first derivative of -1/5*f**3 + 3/5*f**2 + 0*f + 22. Factor z(n).
-3*n*(n - 2)/5
Let x(j) be the first derivative of 2/15*j**3 + 7/10*j**4 + 4/5*j - 6/25*j**5 - 7/5*j**2 - 8. Suppose x(h) = 0. Calculate h.
-1, 1/3, 1, 2
Let n(o) = -10*o**3 - 65*o**2 + 100*o + 5. Let p(m) = -2*m**3 + 2*m**2 - m - 1. Let t(r) = -n(r) - 15*p(r). Let t(s) = 0. What is s?
-2, 1/8, 1
Let f(x) be the first derivative of x**6/72 - x**5/12 + 5*x**4/24 - x**3 - 7. Let v(n) be the third derivative of f(n). Solve v(r) = 0.
1
Suppose -2*h + 2 = -2*y, 3*h - 13 = -5*y + 3*y. Suppose -u**5 + 5*u**2 - 8*u**2 + 2*u**4 - 5*u**2 + 4*u**h = 0. Calculate u.
-2, 0, 2
Let q(u) = 5*u**3 - 47*u**2 + 2*u - 2. Let t(h) = 135*h**3 - 1270*h**2 + 55*h - 55. Let y(k) = -55*q(k) + 2*t(k). Factor y(b).
-5*b**2*(b - 9)
Let j(p) be the second derivative of 5/6*p**7 + 0 + 0*p**2 + 3*p - 15/4*p**4 - 5/4*p**5 - 5/3*p**3 + 3/2*p**6. Solve j(q) = 0 for q.
-1, -2/7, 0, 1
Let z = -8 + 3. Let g be (z/(-10))/(2/(-1) - -3). Factor -n - g*n**2 - 1/2.
-(n + 1)**2/2
Let k(i) be the third derivative of 2*i**7/105 - i**6/30 - 2*i**5/5 + 2*i**4/3 + 16*i**3/3 + 23*i**2. Factor k(h).
4*(h - 2)**2*(h + 1)*(h + 2)
Let v = -5 + 15. Suppose -2*i + v = -0*i. Find m such that -2*m + 5*m**4 + 3*m**4 + 18*m**3 - i*m**4 + 36*m**2 + 26*m = 0.
-2, 0
Let l be 2730/169 - (-4)/(-26). Let -l*c**3 + 5*c**3 + 6*c**3 + 5*c**2 = 0. What is c?
0, 1
Solve 955*o**4 + 1 - 950*o**4 - 1 = 0.
0
Let s(q) be the second derivative of q**7/294 + q**6/105 - 2*q**5/35 + q**4/42 + q**3/6 - 2*q**2/7 - 70*q. Find u, given that s(u) = 0.
-4, -1, 1
Let a(r) be the first derivative of -5*r + 8*r**2 - 8/3*r**3 - 8 + 1/3*r**4. Let u(d) be the first derivative of a(d). Determine l, given that u(l) = 0.
2
Let -1/2*d**4 - 3*d**3 - 5/2*d**2 + 0 + 0*d = 0. Calculate d.
-5, -1, 0
Let b(d) be the first derivative of -d**4/22 + 26*d**3/33 + d**2/11 - 26*d/11 + 681. Factor b(g).
-2*(g - 13)*(g - 1)*(g + 1)/11
Factor 0*m**3 + 4*m**2 - 1/6*m**4 + 8 + 32/3*m.
-(m - 6)*(m + 2)**3/6
Suppose -6*v - 44 = -68. Let l(a) be the first derivative of -a**v + 8/3*a**3 + 0*a + 0*a**2 - 4. Factor l(u).
-4*u**2*(u - 2)
Suppose 2*y**2 - 40368 - 697*y - 5*y**2 - y**2 + y + y**2 = 0. What is y?
-116
Let q = 136 + -891. Let h = 3787/5 + q. Suppose -h*w**3 - 3/5*w**4 - 6/5*w - 3*w**2 + 0 = 0. Calculate w.
-2, -1, 0
Let q(w) 