= -l*t - 13. Solve 2/7*f**2 - 1/7*f**4 + i*f**3 - 1/7 + 0*f = 0 for f.
-1, 1
Let h(f) = -f**3 + f - 1. Let y(u) = 36*u**3 - 104*u**2 + 72*u + 40. Let b(g) = 8*h(g) + y(g). Factor b(p).
4*(p - 2)**2*(7*p + 2)
Let s(f) be the second derivative of f**4/78 + 6*f**3/13 + 32*f**2/13 + 91*f. Find v, given that s(v) = 0.
-16, -2
Let h be ((-30)/(-12))/((-10)/(-8)). Determine p so that 2*p - p**h - 9*p + 6*p = 0.
-1, 0
Let j(m) = 4*m**4 + 64*m**3 + 272*m**2 + 396*m + 192. Let h(p) = 4*p**4 + 65*p**3 + 272*p**2 + 397*p + 192. Let g(v) = 4*h(v) - 3*j(v). Factor g(x).
4*(x + 1)*(x + 2)**2*(x + 12)
Let x(z) = z**2 - 1 + 5 - z - 5. Let j(l) = -3*l**2 - 12*l + 24. Let a be (-1)/(-6)*-4*-18. Let f(y) = a*x(y) + j(y). Factor f(b).
3*(b - 2)*(3*b - 2)
Let n(f) be the first derivative of -2/3*f**3 + 5/2*f**4 + 36*f - 2/5*f**5 - 3 - 21*f**2. Find s such that n(s) = 0.
-2, 1, 3
Let j(z) be the second derivative of z**5/10 - z**4 + 5*z**3/3 + 12*z**2 - 98*z. Factor j(n).
2*(n - 4)*(n - 3)*(n + 1)
Factor 245*t**2 - 48*t - 106*t**2 - 75*t**2 - 28*t**3 + 4*t**4.
4*t*(t - 3)*(t - 2)**2
Let l(s) be the second derivative of -3/2*s**2 + 1/6*s**5 + 1/15*s**3 + 0 + 1/6*s**4 - 2*s. Let a(c) be the first derivative of l(c). Factor a(o).
2*(5*o + 1)**2/5
Let n(z) be the second derivative of z**5/10 - 13*z**4/2 + 120*z**3 + 400*z**2 + 106*z. Let n(j) = 0. What is j?
-1, 20
Let w(q) be the first derivative of 3*q**6/5 + 32*q**5/25 + q**4/2 - 4*q**3/15 - 214. Factor w(n).
2*n**2*(n + 1)**2*(9*n - 2)/5
Let k(u) = u**3 + 4*u**2 - 2. Let b be k(-4). Let y be ((-8)/(-20))/(b/(-3)). Let 0 + y*n - 3/5*n**2 = 0. Calculate n.
0, 1
Let k be ((-8)/(-132) - 0)*(-10 + 11). Let m(r) be the first derivative of -k*r**3 + 8/55*r**5 + 4 - 3/22*r**4 + 0*r**2 + 0*r. Factor m(n).
2*n**2*(n - 1)*(4*n + 1)/11
Let r(b) be the third derivative of -4*b**2 + 0*b**5 - 1/490*b**7 + 1/14*b**3 + 1/140*b**6 + 0*b - 1/28*b**4 + 0. Solve r(a) = 0 for a.
-1, 1
Let z be 13 - 5*(-45)/(-18). Let c(q) be the first derivative of 0*q**3 + 0*q + 0*q**2 - 1/3*q**6 + 0*q**5 + z*q**4 + 8. Let c(t) = 0. What is t?
-1, 0, 1
Let j be (1/(-7))/(152/(-6650)). Factor -15/2*y + 5/4*y**2 + j.
5*(y - 5)*(y - 1)/4
Let b(a) be the second derivative of -a**8/560 - a**7/350 - 7*a**2 + 4*a. Let n(z) be the first derivative of b(z). Determine y so that n(y) = 0.
-1, 0
Let f be -5 + 20/(-105)*-24 + -23 + 24. Factor 10/7*o - f - 4/7*o**2.
-2*(o - 2)*(2*o - 1)/7
Let u = 38 - 18. Factor u*r**2 + 13 - 5*r**3 - 3 - 16*r - 9*r.
-5*(r - 2)*(r - 1)**2
Let d = -118 + 121. Let x be 145/116*8/42*d. Factor c + 2/7 + x*c**2.
(c + 1)*(5*c + 2)/7
Let o(a) be the third derivative of a**5/5 + 45*a**4/8 + 11*a**3/2 - 35*a**2. Suppose o(d) = 0. Calculate d.
-11, -1/4
Let k(d) = -d**2 - 2*d - 1. Let n(y) = 14*y**2 + 278*y + 15889. Let i(t) = -26*k(t) - 2*n(t). Find a such that i(a) = 0.
-126
Let x = 32 + -39. Let h be (-8)/(-7) - (-2)/x. Factor -6/7*p**3 + 4/7 + h*p - 4/7*p**2.
-2*(p - 1)*(p + 1)*(3*p + 2)/7
Factor 2/9*h**5 + 0*h**2 + 8/9*h**3 + 0 + 0*h - 10/9*h**4.
2*h**3*(h - 4)*(h - 1)/9
What is o in 16/3*o**3 - 17/3*o + 1/3*o**5 - 2/3*o**2 + 10/3*o**4 - 8/3 = 0?
-8, -1, 1
Let t(a) = -26*a**2 + 45*a. Let x(k) = -14*k**2 + 22*k. Let g(d) = 6*t(d) - 11*x(d). Factor g(j).
-2*j*(j - 14)
Determine q, given that 0 + 25*q - 1/3*q**2 = 0.
0, 75
Let d(k) be the second derivative of -5*k**4/12 + 85*k**3/6 - 40*k**2 - 148*k. Let d(y) = 0. What is y?
1, 16
Let f(v) = 14*v**3 + 6*v**2 - 15*v + 1. Let l(t) = -2*t**3 + t**2 - 1. Let s(i) = -f(i) - 3*l(i). Factor s(w).
-(w - 1)*(w + 2)*(8*w + 1)
Factor 35*b**2 - 138 + 5*b**5 + 138 - 5*b**3 - 35*b**4.
5*b**2*(b - 7)*(b - 1)*(b + 1)
Let d be (12/5)/((-44)/(-10) + -4). Let k be (d*(-2)/56)/(9/(-24)). Factor -k*b**2 - 2/7*b**3 - 2/7*b + 0.
-2*b*(b + 1)**2/7
Suppose m = -3*r - m + 13, -r + 16 = 3*m. Suppose -4*w + 1 = 5*j - 2, -2*w = 3*j - r. What is i in 19*i**2 - 11*i**w - 12*i**2 + 12*i = 0?
0, 3
Let a(l) = l**3 - 1. Let m(s) = 2*s**4 + 7*s**3 - 1. Let i be -2 - (-2 - -1)/(2/6). Let n(j) = i*a(j) - m(j). Factor n(b).
-2*b**3*(b + 3)
Let z(n) be the second derivative of n**6/180 + n**5/30 + n**4/12 - 4*n**3/3 - 11*n. Let w(y) be the second derivative of z(y). Find c, given that w(c) = 0.
-1
Let l be ((-6045)/26)/(1701/(-4)). Let d = l - -2/81. Find r such that 1/7*r**2 + 4/7 + d*r = 0.
-2
Let i = 844/1001 - -2/143. Factor 4/7*h + 2/7*h**3 + i*h**2 + 0.
2*h*(h + 1)*(h + 2)/7
Suppose 3*c - 256 + 247 = 0. Let f(h) be the first derivative of -1/3*h**c - 2 + h**2 + 0*h. Let f(n) = 0. Calculate n.
0, 2
Factor -4/3*a**2 - 11/2*a - 5/3 + 1/2*a**3.
(a - 5)*(a + 2)*(3*a + 1)/6
Let o(g) be the third derivative of g**9/151200 + g**8/25200 + g**7/12600 + 3*g**5/20 - 10*g**2. Let d(u) be the third derivative of o(u). Factor d(r).
2*r*(r + 1)**2/5
Factor 2/3*x**3 + 0 + 1/3*x - 5/6*x**2 - 1/6*x**4.
-x*(x - 2)*(x - 1)**2/6
Let n(y) be the first derivative of 46*y**3/27 + 232*y**2/9 + 40*y/9 - 232. Factor n(w).
2*(w + 10)*(23*w + 2)/9
Let a be 1175/(-19740)*24/(-15). Factor 2/7*g**3 - a*g**4 + 0 + 0*g - 4/21*g**2.
-2*g**2*(g - 2)*(g - 1)/21
Let i be (-6)/4 + (-346)/8. Let s = 927/20 + i. Solve 0 + s*n - 4/5*n**3 - 4/5*n**2 = 0 for n.
-2, 0, 1
Suppose -85 = -23*x - 16. Let p(k) be the second derivative of 1/7*k**x - k + 2/7*k**2 + 1/42*k**4 + 0. Find o such that p(o) = 0.
-2, -1
Suppose 2*v - 4*x - 19 = v, 5*v = -5*x - 5. Let t(d) be the second derivative of 0*d**2 + 0*d**v + 3*d + 0 + 1/6*d**4. Factor t(c).
2*c**2
Let h(l) be the second derivative of 2*l**7/21 + 22*l**6/15 + 26*l**5/5 + 16*l**4/3 + 45*l + 3. Factor h(n).
4*n**2*(n + 1)*(n + 2)*(n + 8)
Solve 0 - 111/7*k**3 + 0*k - 3/7*k**4 + 114/7*k**2 = 0 for k.
-38, 0, 1
Let d(y) = y**3 + 7*y**2 + 6*y + 2. Let c be d(-6). Factor -36 + 16*g**2 + 4*g**c + 16 + 5*g**3 - 5*g.
5*(g - 1)*(g + 1)*(g + 4)
Let a(q) = -q**3 + 15*q**2 - 19*q - 89. Let d be a(13). Factor 1/2 - r + 1/2*r**d.
(r - 1)**2/2
Let h(n) be the third derivative of 1/120*n**5 + 0*n + 1/16*n**4 - 7*n**2 + 0 + 1/6*n**3. Let h(l) = 0. Calculate l.
-2, -1
Factor 0 - b**2 - 1/2*b**4 + 0*b + 3/2*b**3.
-b**2*(b - 2)*(b - 1)/2
Let r = 4238 + -29663/7. Factor 2/7*d**2 + 0 - r*d.
d*(2*d - 3)/7
Let c be ((-3)/(-4))/((-11)/4 + 3). Factor -11 + 7*b - 7*b**3 + 16*b**2 + 3*b**3 - c*b - 5.
-4*(b - 4)*(b - 1)*(b + 1)
Suppose 5*h - 4*g + 0 + 4 = 0, -h + 1 = g. Let u(s) be the first derivative of h*s**2 + 0*s - 6 + 1/12*s**3. Factor u(o).
o**2/4
Solve t**5 - 59*t**3 + 64*t**3 + 4*t**4 - 128*t**2 + 130*t**2 + 0*t**4 = 0.
-2, -1, 0
Let o(p) be the third derivative of -13*p**2 + 0*p - 1/2*p**5 + 0 + 5/3*p**3 + 5/112*p**8 + 2/21*p**7 - 1/6*p**6 + 5/24*p**4. Suppose o(m) = 0. Calculate m.
-1, 2/3, 1
Let c(p) = -5*p**3 - 9*p**2 - 10*p - 13. Let z(i) = 2*i**3 + 4*i**2 + 5*i + 6. Let d(n) = 3*c(n) + 7*z(n). Factor d(w).
-(w - 3)*(w + 1)**2
Let 324/7*d - 3/7*d**2 + 327/7 = 0. Calculate d.
-1, 109
Let l be ((-45)/(-20) + (81/(-6))/(-9))*8. Determine n so that 9 - 3*n**4 + 9*n**3 + 57/2*n - 3/2*n**5 + l*n**2 = 0.
-2, -1, 3
Let c(p) be the second derivative of 2*p**3 + 35*p - 9/4*p**4 + 0*p**2 + 0 + 3/10*p**5. Factor c(n).
3*n*(n - 4)*(2*n - 1)
Let l = 29/735 + 1/294. Let x(h) be the third derivative of 0*h**4 + l*h**7 + 0*h**3 + 0 - 3*h**2 - 1/30*h**5 + 7/120*h**6 + 0*h. Solve x(c) = 0 for c.
-1, 0, 2/9
Let v = 176 - 174. Suppose -v*o = -6*o + 8*o. Factor o - 2/13*b**2 + 0*b + 2/13*b**5 + 2/13*b**4 - 2/13*b**3.
2*b**2*(b - 1)*(b + 1)**2/13
Let o(t) be the second derivative of -2*t**5/15 - 13*t**4/54 - t**3/27 - 3*t + 21. Factor o(h).
-2*h*(h + 1)*(12*h + 1)/9
Let u(z) be the first derivative of -8*z**5/15 + 13*z**4/6 - 22*z**3/9 + 2*z**2/3 - 100. Solve u(l) = 0 for l.
0, 1/4, 1, 2
Suppose 5*n - 18 - 7 = 0. Suppose a = -n*a. Factor 3/5*x**3 + 1/5*x**4 + 0 + a*x + 2/5*x**2.
x**2*(x + 1)*(x + 2)/5
Let q(k) be the first derivative of -5*k**3 + 10*k - 5/4*k**4 + 5/2*k**2 + 1 + k**5. Factor q(h).
5*(h - 2)*(h - 1)*(h + 1)**2
Let b = 18/5 - 4/5. Let z = 552/715 + 4/143. Factor z*d**2 + 6/5 - b*d.
2*(d - 3)*(2*d - 1)/5
Suppose -2*n + 2 + 10 = 0. Suppose q - 18 = -d, 0 = d - n*d - 4*q + 85. Factor 9*i**3 - 19*i**3 + d*i**3 - 3*i**5.
-3*i**3*(i - 1)*(i + 1)
Let g(j) be the second derivative of 1/10*j**6 + 3*j + 0 + 1/2*j**5 + 23/18*j**4 + 3/2*j**2 + 11/6*j**3 + 1