t c(w) be the third derivative of -1/10*w**6 + 0 + 13/75*w**5 + 3/350*w**7 - 14*w**2 + 32/15*w**3 + 4/3*w**4 + 0*w. Factor c(y).
(y - 4)**2*(3*y + 2)**2/5
Let o(j) be the first derivative of -j**6/30 - j**5/10 + j**4/4 + 2*j**3/3 - 2*j**2 + 13*j - 12. Let c(f) be the first derivative of o(f). Factor c(q).
-(q - 1)**2*(q + 2)**2
Let i(h) be the third derivative of h**8/420 - 8*h**7/75 + 97*h**6/150 + 1334*h**5/75 + 1598*h**4/15 + 4624*h**3/15 + 3*h**2 - 42*h. Let i(q) = 0. What is q?
-2, 17
Let h(k) be the third derivative of -k**8/28 + 11*k**7/14 - 89*k**6/20 - 26*k**5/5 + 91*k**4/4 + 49*k**3/2 - 474*k**2. Find t such that h(t) = 0.
-1, -1/4, 1, 7
Let k(l) be the second derivative of -21*l + 0 + 1/78*l**4 + 4/39*l**3 + 0*l**2. Factor k(f).
2*f*(f + 4)/13
Let o = -79/51 + 311/102. Suppose 0*w**2 - o*w**3 + 21/2*w + 9 = 0. Calculate w.
-2, -1, 3
Let t = 8 - 4. Factor -3*o**4 + 0*o**t + 4*o**3 - o**2 + 12*o - 7*o**3 + 13*o**2.
-3*o*(o - 2)*(o + 1)*(o + 2)
Let a(u) = 2*u**2 - 539*u - 3306. Let g be a(-6). Determine c so that -3/4*c**4 + g*c**2 + 3/4*c**3 + 0 + 0*c - 3/2*c**5 = 0.
-1, 0, 1/2
Let i(j) be the third derivative of j**6/180 - j**5/60 - j**4/6 - 3*j**3/2 + 23*j**2. Let n(r) be the first derivative of i(r). Solve n(t) = 0 for t.
-1, 2
Let k(q) be the second derivative of -q**8/1344 - q**7/504 + q**6/144 + q**5/24 + q**4/12 - 21*q. Let g(a) be the third derivative of k(a). Factor g(l).
-5*(l - 1)*(l + 1)**2
Let y = -9 - -11. Suppose y*g - 4 = 2*n + 6*g, 4 = n - g. Solve 4 - 1 + 70*p**2 + p + 16*p**3 + 24*p - 14*p**n = 0.
-3, -1/4
Let u(b) be the first derivative of -b**6/48 - 7*b**5/10 - 281*b**4/32 - 619*b**3/12 - 615*b**2/4 - 225*b - 332. Find f such that u(f) = 0.
-10, -3, -2
What is x in 3/5*x**4 + 0*x - 18/5*x**2 + 0 - 3/5*x**3 = 0?
-2, 0, 3
Let i(u) = u**5 + 12*u**4 - 10*u**3 + 8*u**2 + 22. Let z(l) = l**4 + 2. Let d(h) = 4*i(h) - 44*z(h). Find t such that d(t) = 0.
-4, 0, 1, 2
Suppose 5*h - 3*y - 75 = 2*y, -h + 5*y = -35. Suppose -2 = -4*n + h. What is t in 0 + 4*t + 12*t**n + 15*t**2 - 3*t**2 - 4 + 8*t**2 = 0?
-1, 1/3
Let a(x) be the first derivative of -1/4*x**4 - 3 - 1/2*x**3 + x + 0*x**2. Let u(t) be the first derivative of a(t). Let u(c) = 0. Calculate c.
-1, 0
Let a(n) be the first derivative of 5*n**4/4 - 35*n**3 + 50*n**2 - 51. Factor a(z).
5*z*(z - 20)*(z - 1)
Let h be (((-76)/6)/(-2))/((-12)/(-18)). Let m = h - 53/6. Factor m*r + 0 - 1/3*r**2.
-r*(r - 2)/3
Let t(i) be the second derivative of i**7/210 + 11*i**6/150 + 33*i**5/100 + 13*i**4/60 - 17*i**3/15 - 12*i**2/5 - 178*i - 2. Let t(y) = 0. Calculate y.
-6, -4, -1, 1
Let o(f) be the second derivative of -25/24*f**4 + 3*f - 5/3*f**3 - 1/24*f**6 + 0 - 1/3*f**5 - 11/2*f**2. Let t(v) be the first derivative of o(v). Factor t(q).
-5*(q + 1)**2*(q + 2)
Factor -6/5*l**2 + 3/5*l + 2 + 1/5*l**3.
(l - 5)*(l - 2)*(l + 1)/5
Let p = -2/59 - -128/295. Let q be (1 + -2)/3*(-30)/25. Suppose -q*d + 4/5 - p*d**2 = 0. What is d?
-2, 1
Let q(z) = -z**3 + 42*z**2 + 29*z + 620. Let i be q(43). Find o, given that i*o + 6*o**3 + 33/2*o**2 + 27/4 + 3/4*o**4 = 0.
-3, -1
Let f be 0/(-5 + (-18)/(-6)). Let v(a) be the first derivative of f*a - a**4 - 1/9*a**6 - 6 - 8/9*a**3 - 1/3*a**2 - 8/15*a**5. Factor v(w).
-2*w*(w + 1)**4/3
Let q(v) be the second derivative of 0 - 1/24*v**4 + 1/12*v**3 + 4*v - 1/40*v**5 + 1/4*v**2. Let q(i) = 0. What is i?
-1, 1
Suppose 18 = 24*k - 120 + 18. Determine i so that 1/7*i**3 + 0 - 1/7*i**k + 1/7*i**4 + 0*i - 1/7*i**2 = 0.
-1, 0, 1
Let r(j) be the second derivative of j**5/48 + j**4/16 + j**3/24 - 27*j**2/2 + 13*j. Let d(a) be the first derivative of r(a). Factor d(k).
(k + 1)*(5*k + 1)/4
Determine i, given that 3*i**4 + 0*i + 0 - 3/5*i**2 + 9/5*i**5 + 3/5*i**3 = 0.
-1, 0, 1/3
Let k(s) be the first derivative of 0*s**5 + 8*s + 2/3*s**6 - 4*s**4 - 8/3*s**3 + 6*s**2 - 8. Suppose k(j) = 0. Calculate j.
-1, 1, 2
Let s be (247/26 - 9)/((-7)/(-8)). Suppose 0 + s*n + 4/7*n**3 + 8/7*n**2 = 0. What is n?
-1, 0
Let s(u) be the third derivative of -1/35*u**5 + 7*u**2 + 1/420*u**6 + 0 + 0*u**3 + 0*u + 0*u**4. Factor s(n).
2*n**2*(n - 6)/7
Let a(k) be the second derivative of k**6/280 - k**5/20 + 11*k**4/56 - 5*k**3/14 - 18*k**2 - 23*k. Let w(n) be the first derivative of a(n). Factor w(s).
3*(s - 5)*(s - 1)**2/7
Let y**4 + 5*y**4 - 48*y - 64*y**2 - 9*y**3 - 8*y**4 - 19*y**3 - 2*y**4 = 0. What is y?
-3, -2, 0
Factor 7/5*g**2 + 0 - 16/5*g.
g*(7*g - 16)/5
Let 49145*i - 5*i**2 - 49145*i + 45 = 0. What is i?
-3, 3
Factor -56/5*j + 28/5*j**2 - 4/5*j**3 + 32/5.
-4*(j - 4)*(j - 2)*(j - 1)/5
Let l(z) be the third derivative of z**7/630 - z**6/40 + 29*z**5/180 - 13*z**4/24 + z**3 + 2*z**2 + 79. Factor l(h).
(h - 3)**2*(h - 2)*(h - 1)/3
Let k(t) = -6*t**2 - 53*t - 57. Let s(h) = 3*h**2 + 27*h + 27. Let r(q) = 3*k(q) + 5*s(q). Let r(f) = 0. Calculate f.
-6, -2
Let l(x) be the second derivative of x**7/1050 - 2*x**6/225 + x**5/50 + 3*x**3/2 + x**2 + 35*x. Let v(q) be the second derivative of l(q). Factor v(m).
4*m*(m - 3)*(m - 1)/5
Let n(l) = 3*l**3 + 13*l**2 - 18. Let c(p) be the first derivative of -5*p**4/4 - 25*p**3/3 + 35*p - 53. Let x(b) = -2*c(b) - 5*n(b). Factor x(t).
-5*(t - 1)*(t + 2)**2
Let g(l) be the second derivative of -l**7/273 - 116*l**6/195 - 171*l**5/5 - 702*l**4 + 1521*l**3 - 168*l. Let g(u) = 0. What is u?
-39, 0, 1
Let t(l) be the second derivative of -7/60*l**4 - 9/10*l**2 + 0 - 1/100*l**5 - 1/2*l**3 + 15*l. Suppose t(b) = 0. What is b?
-3, -1
Let t(y) = -y**3 - 7*y**2 + 5*y - 5. Let m(r) = -6*r**3 - 36*r**2 + 24*r - 26. Let j(x) = 2*x - 3. Let i be j(-4). Let b(n) = i*t(n) + 2*m(n). Factor b(u).
-(u - 3)*(u - 1)**2
Let z(b) = -b**5 + 14*b**4 - 29*b**3 + 3*b**2 + 25*b - 2. Let m(q) = q**5 - 14*q**4 + 30*q**3 - 4*q**2 - 25*q. Let j(g) = -5*m(g) - 6*z(g). Factor j(o).
(o - 12)*(o - 1)**3*(o + 1)
Let r(z) = z**3 - z**2 + 2*z - 3. Let j be r(2). Suppose 0 = 2*x - j - 15. Let -4*u**2 + u**2 + x*u**3 + 7*u**2 = 0. Calculate u.
-2/5, 0
Let z be ((-25)/(-965950))/(1/(-2)). Let o = 11050473/96595 + z. Determine d, given that 0*d - o*d**4 - 16/5*d**2 + 0 - 242/5*d**5 - 184/5*d**3 = 0.
-2, -2/11, 0
Let f be ((-482)/(-240) - 2)*(-12)/(-8). Let z(t) be the third derivative of 0*t**4 - f*t**5 + 0*t**3 - 2*t**2 + 0*t + 0. Factor z(g).
-3*g**2/4
Let k(g) be the second derivative of g**5/60 + g**4/18 - g**3/6 + 2*g - 8. Suppose k(t) = 0. What is t?
-3, 0, 1
Let k(w) be the first derivative of -3*w**5/5 - 3*w**4 + w**3 + 6*w**2 - 46. Factor k(j).
-3*j*(j - 1)*(j + 1)*(j + 4)
Let z(l) be the first derivative of -169*l**4/4 + 26*l**3 - 6*l**2 - 35*l + 6. Let r(n) be the first derivative of z(n). Solve r(f) = 0 for f.
2/13
Suppose 30*i = 28*i + 2. Let b be ((-4)/6)/i - -1. Factor 2/3 + 1/3*v - b*v**2.
-(v - 2)*(v + 1)/3
Let d = -239/6 + 63/2. Let h = -119/15 - d. Let 2/5*g**4 - h*g**3 + 0 - 2/5*g**2 + 2/5*g = 0. Calculate g.
-1, 0, 1
Factor 47*w**3 - 2439*w - 217*w**3 + 719*w + 0*w**4 - 1120 - 900*w**2 + 0*w**4 - 5*w**4.
-5*(w + 2)**3*(w + 28)
Let k(u) be the third derivative of 2*u**7/105 + 7*u**6/30 - u**5/15 - 7*u**4/6 + 47*u**2 - 4. Suppose k(t) = 0. What is t?
-7, -1, 0, 1
Let n be (0/(-2))/((88/(-4))/(-11)). Let t(f) be the third derivative of 0*f**3 + 0 - 1/300*f**5 - f**2 + 0*f**4 + n*f. Let t(i) = 0. Calculate i.
0
Let f = 11/10 - 19/20. Let s(r) be the second derivative of -f*r**5 - 6*r**2 + 0 + 0*r**3 + r + 3/4*r**4. Factor s(i).
-3*(i - 2)**2*(i + 1)
Let s(y) = y**2 + 71*y. Let j(u) = 14*u. Let p(v) = -11*j(v) + 2*s(v). What is m in p(m) = 0?
0, 6
Suppose v = 4*f + 31, -5*v = -5*f - 277 + 92. Let -1 - 18*j + 29*j**4 - 2 - 41*j**4 - 36*j**3 - v*j**2 = 0. Calculate j.
-1, -1/2
Let r be 9*9/(-540)*(-19 + 1 + 6). Factor -3/5*f**5 + r*f**3 + 12/5*f**2 - 6/5*f**4 - 12/5*f + 0.
-3*f*(f - 1)**2*(f + 2)**2/5
Let 4/3*f + 2*f**2 - 8/3*f**3 - 2*f**4 + 4/3*f**5 + 0 = 0. What is f?
-1, -1/2, 0, 1, 2
Let q(s) be the first derivative of 12/11*s**2 + 1/22*s**4 + 4/11*s**3 + 16/11*s - 8. Let q(t) = 0. What is t?
-2
Let t = -69 + 67. Let z be (-4)/(-36) + 7/((-63)/t). Find y such that -1/3*y + z*y**3 - 1/3*y**2 + 1/3 = 0.
-1, 1
Let f(j) = -j**2 + 12*j - 35. Let g be f(7). Let -2/11*d**3 + 0*d + g + 0*d**2 = 0. Calculate d.
0
Suppose 7*t = 20*t - 52. Let a be 3/(9/(-2)) - t/(-6). Factor -j + 1