f -9/5*s**2 - 13 - 32/15*s**3 - 7/5*s**4 - 4/5*s - 12/25*s**5 - 1/15*s**6. Factor m(j).
-2*(j + 1)**4*(j + 2)/5
Let x(l) be the first derivative of 2*l**5/5 - l**4/2 - 14*l**3/3 + 13*l**2 - 12*l + 63. Factor x(m).
2*(m - 2)*(m - 1)**2*(m + 3)
Let s(j) = -5*j**4 - 10*j**3 + 215*j**2 - 5*j - 5. Let q(a) = 2*a**4 + 2*a**3 - 108*a**2 + 3*a + 3. Let l(g) = 5*q(g) + 3*s(g). Factor l(d).
-5*d**2*(d - 3)*(d + 7)
Suppose -5*j = -5*z - 10, j + j = 3*z + 4. Factor -b**3 - 2*b**4 + 2*b + 19*b**3 - 7*b**3 - 6*b**j - 5*b**3.
-2*b*(b - 1)**3
Let s(h) be the first derivative of -h**6/8 - 33*h**5/20 - 117*h**4/16 - 45*h**3/4 + 109. Factor s(j).
-3*j**2*(j + 3)**2*(j + 5)/4
Factor 4*i**2 - 526 - 60*i - 608 + 1278.
4*(i - 12)*(i - 3)
Let m(i) be the second derivative of 0 - 14*i + 1/30*i**6 - 1/40*i**5 + 0*i**2 + 1/12*i**3 - 1/12*i**4. Solve m(s) = 0 for s.
-1, 0, 1/2, 1
Let g = 2599 - 280607/108. Let x = g + -1/27. Solve 0 + 1/4*h**5 + 3/4*h**3 + 1/4*h**2 + x*h**4 + 0*h = 0.
-1, 0
Find s such that 5/2 + 5*s**2 + 25/4*s + 5/4*s**3 = 0.
-2, -1
Factor m - 23 - 11 + 14 - 4*m**3 + 20*m**2 + 3*m**3.
-(m - 20)*(m - 1)*(m + 1)
Let j(l) be the third derivative of 1/60*l**5 + 0 - 1/240*l**6 - 7*l**2 + 0*l**3 + 0*l**4 + 0*l. Factor j(d).
-d**2*(d - 2)/2
Let o = 56 + -16. Let z be o/(-180) - (-4)/18. Solve 2/7*f**3 + z*f + 2/7*f**2 + 0 = 0.
-1, 0
Let l(y) be the third derivative of -y**8/3696 - y**7/770 + y**6/440 + y**5/60 + y**4/44 - y**2 + 8. Solve l(b) = 0.
-3, -1, 0, 2
Let m(z) be the first derivative of -3*z**4/4 + 4*z**3 + 3*z**2/2 - 12*z - 17. Suppose m(k) = 0. What is k?
-1, 1, 4
What is q in -18/5*q + 21/5 - 3/5*q**2 = 0?
-7, 1
Let t = -28/485 - -1278/5335. Let h be (1 - 1)/(0 - -2). Factor 0 + t*f**4 + 0*f + h*f**3 - 8/11*f**2.
2*f**2*(f - 2)*(f + 2)/11
Factor 0*a**2 + 467 - 715 + 4*a**2 + 112*a + 548.
4*(a + 3)*(a + 25)
Suppose -104 - 136 = -5*h. Let -3*k**2 + 13*k**2 - 13*k**2 - h*k**3 + 3*k + 48*k**4 = 0. Calculate k.
-1/4, 0, 1/4, 1
Let z(g) be the first derivative of g**5 + 35*g**4/4 + 55*g**3/3 + 25*g**2/2 + 164. Factor z(j).
5*j*(j + 1)**2*(j + 5)
Factor 6 + 21/2*k + 3*k**2 - 3/2*k**3.
-3*(k - 4)*(k + 1)**2/2
Let -25*p**4 + 11*p - 6 - 3*p**2 + 58*p**4 - 3*p**3 - 32*p**4 = 0. Calculate p.
-2, 1, 3
Let d = -33 - -35. Suppose l + d - 4 = 0. What is u in -4/5*u**3 + 0 - 6/5*u**l - 2/5*u = 0?
-1, -1/2, 0
Find i, given that -11*i**4 - 648*i**5 - 22*i**4 + 645*i**5 = 0.
-11, 0
Let x be (-1)/10*(-5 - -4). Let t(o) be the first derivative of 1/15*o**3 + 0*o - x*o**2 + 1. Solve t(m) = 0 for m.
0, 1
Let n(y) be the second derivative of 0 - 1/3*y**2 - 1/6*y**4 + 19*y - 1/30*y**5 - 1/3*y**3. Suppose n(d) = 0. What is d?
-1
Let y be 3/12*(-256)/7. Let z = y + 135/14. Suppose z*n**2 + 0*n + 0 = 0. What is n?
0
Let u be (7/14)/(5/(-10))*-4. Let q = 2 - -1. Suppose 0 + 3*l**2 + 9/2*l**q + 0*l + 3/2*l**u = 0. Calculate l.
-2, -1, 0
Suppose -6 = -3*l - 0. Factor 6 - 2 + l*k**2 - 2*k**2 - k**2.
-(k - 2)*(k + 2)
Let s(a) be the third derivative of a**5/420 + a**4/42 + 35*a**2. Suppose s(w) = 0. What is w?
-4, 0
Let b(o) be the second derivative of 2*o + 0 - 27/8*o**2 + 57/8*o**3 + 9/56*o**7 + 39/40*o**6 - 47/8*o**4 - 3/40*o**5. Solve b(d) = 0.
-3, 1/3, 1
Let m(l) be the first derivative of -l**4/18 + 2*l**3/27 + 2*l**2/9 - 74. Suppose m(k) = 0. Calculate k.
-1, 0, 2
Let j(t) be the first derivative of -5*t**6/6 - 7*t**5 - 85*t**4/4 - 85*t**3/3 - 15*t**2 - 105. Find f, given that j(f) = 0.
-3, -2, -1, 0
Let n(m) = -124*m**2 + 728*m - 800. Let j(b) = -19*b**2 + 112*b - 123. Let g(q) = 32*j(q) - 5*n(q). Factor g(d).
4*(d - 2)*(3*d - 8)
Let i(w) be the third derivative of 0*w + 0 - 5/3*w**3 + 5/24*w**4 - 13*w**2 - 1/24*w**6 + 1/6*w**5. Factor i(s).
-5*(s - 2)*(s - 1)*(s + 1)
Suppose x = -3*c - c + 10, 5*x - 5*c = 0. Solve 16*h + 154*h**x - 149*h**2 - 56*h - 45 = 0.
-1, 9
Suppose -6*w = -4*w - 4. Factor 17*t**2 - t - 3 + w + t**3 - 16*t**2.
(t - 1)*(t + 1)**2
Let k(y) = 3*y**2 - 71*y + 270. Let l be k(19). Let 16/5*v**3 - 6/5*v**l - 12/5*v**2 + 2/5 + 0*v = 0. Calculate v.
-1/3, 1
Solve -2/17*h**2 + 86/17 + 84/17*h = 0 for h.
-1, 43
Let o(c) be the third derivative of -c**6/24 + 5*c**5/6 - 5*c**4/2 - 60*c**3 - 319*c**2. Let o(k) = 0. Calculate k.
-2, 6
Let k = 21 - 19. Let x = 5204/6055 + -2/865. Solve -4/7*i**k - x*i - 2/7 = 0.
-1, -1/2
Suppose -8*y + 13*y = 10. Factor u + 2*u - 10 + 2*u - u**y + 6*u**2.
5*(u - 1)*(u + 2)
Let y(i) be the third derivative of i**7/126 - i**6/12 - 37*i**5/36 - 25*i**4/12 + 447*i**2. Factor y(l).
5*l*(l - 10)*(l + 1)*(l + 3)/3
Let j be 1/2 - 685/(-822)*(-1)/(-5). Factor 2/3 + j*d**2 - 4/3*d.
2*(d - 1)**2/3
Let x be (-8)/264*11*-6. Factor 1/7*h**3 + 0 + 0*h - 4/7*h**x.
h**2*(h - 4)/7
Let g(d) be the second derivative of -d**6/8 + 5*d**5/12 - 5*d**4/12 - 3*d**2/2 - d. Let v(s) be the first derivative of g(s). Find z such that v(z) = 0.
0, 2/3, 1
Let u(c) = -2*c**3 - 7*c**2 - 3*c - 3. Let v(o) = 2*o**3 + 6*o**2 + 2*o + 2. Let r(b) = 2*u(b) + 3*v(b). Factor r(h).
2*h**2*(h + 2)
Let j = 16 + -14. Let -8 - 5*m**2 + 4*m + 3*m**2 + 8*m**j - 2*m**2 = 0. What is m?
-2, 1
Let i(m) = 4*m**2 + 11*m + 9. Let b be i(-3). Solve w**2 + b*w**2 + 405 - 8*w**2 - 90*w = 0.
9
Solve -22/5*v**3 + 8/5*v**2 + 0*v + 0 + 9/5*v**4 = 0.
0, 4/9, 2
Let k(s) = -9*s**3 - 16*s**2 + 9*s. Let l(b) = -2*b - 3. Let q be l(-1). Let d(x) = x. Let t(m) = q*k(m) + 5*d(m). Let t(u) = 0. What is u?
-2, 0, 2/9
Let h be (-56)/(-12)*(1 - (-5)/7). Determine x, given that 4*x - 28*x**3 - 22*x**5 + 62*x**4 - 2*x**3 - h*x**5 - 6*x**2 = 0.
-1/3, 0, 2/5, 1
Let r(a) = -a**2 - 5*a - 4. Let x be r(-2). Suppose 4 = 3*b - 2*g, -4 - 4 = -x*b + 4*g. Solve b*s + 4/5*s**2 + 0 + 4/5*s**3 - 4/5*s**5 - 4/5*s**4 = 0.
-1, 0, 1
Let l(n) = -2*n + 16. Let m be l(7). Let f(g) be the third derivative of 0*g + 1/48*g**5 - 1/12*g**4 + 0 - 1/480*g**6 + 1/6*g**3 + 5*g**m. Factor f(w).
-(w - 2)**2*(w - 1)/4
Let q = -18 - -22. Suppose 3*d - 11 = 3*a + q, 3*a = -3*d + 15. Factor a*y**3 + 3/7*y**4 + 0 - 6/7*y - 9/7*y**2.
3*y*(y - 2)*(y + 1)**2/7
Factor 13*k**4 + 2*k**2 - k**3 + 3*k**5 - 26*k**4 + 9*k**4.
k**2*(k - 1)**2*(3*k + 2)
Suppose -b - 3*b = -2*z + 12, z + 2*b = 10. Suppose -6*g + z = 3*s - 4*g, 4*g - 16 = 5*s. Determine u, given that s + 0*u - 2/9*u**2 + 2/9*u**3 = 0.
0, 1
Let a = 9 + -36. Let p = -25 - a. Solve 3*h**2 + 10*h + 0*h - 8*h**p = 0.
0, 2
Let z(y) = -11*y**3 - 133*y**2 - 263*y - 131. Let o(n) = -5*n**3 - 67*n**2 - 131*n - 65. Let x(f) = -5*o(f) + 2*z(f). Factor x(t).
3*(t + 1)**2*(t + 21)
Let d(w) be the third derivative of -5*w**8/1512 - 13*w**7/105 - 323*w**6/270 + 16*w**5/9 + 8*w**4/3 + w**2 - 28*w. Determine s so that d(s) = 0.
-12, -2/5, 0, 1
Let u(l) be the first derivative of l**7/2380 - 11*l**6/3060 + l**5/170 + 7*l**3/3 - 2. Let s(n) be the third derivative of u(n). Factor s(v).
2*v*(v - 3)*(3*v - 2)/17
Suppose 3*f + 18 = 6, w - 13 = 2*f. Suppose v - w*h = -15, 4*v + 9 = 2*h + 3. Factor 1/3*o + v + 2/3*o**2 - 2/3*o**4 + 0*o**3 - 1/3*o**5.
-o*(o - 1)*(o + 1)**3/3
Let b(m) be the first derivative of 2/3*m**3 + 0*m**2 + 1/6*m**6 + 0*m - 33 + 5/4*m**4 + 4/5*m**5. Factor b(w).
w**2*(w + 1)**2*(w + 2)
Let 0 - 1/4*i**5 + 0*i**3 + 1/2*i**2 + 1/4*i - 1/2*i**4 = 0. Calculate i.
-1, 0, 1
Determine w, given that -2/13*w**2 + 12/13 - 2/13*w = 0.
-3, 2
Let w = 57 + -53. Let l be 4/(-14)*w/8*-330. Let 296/7*i - 48/7 - 436/7*i**2 + 100*i**4 + 250/7*i**5 - l*i**3 = 0. What is i?
-3, -1, 2/5
Let v(z) be the second derivative of 0 + 3/14*z**2 - 6*z + 3/14*z**3 - 3/70*z**6 - 1/98*z**7 - 3/70*z**5 + 1/14*z**4. Determine a, given that v(a) = 0.
-1, 1
Let d = -11 - -13. Solve -7*n**4 - 10 + 20*n**2 - 5*n**5 - 14*n + 9*n + 0*n**d - 3*n**4 + 10*n**3 = 0.
-2, -1, 1
Let b = 15 - 12. Let u(x) be the second derivative of 1/36*x**4 - 1/3*x**b + 4*x + 3/2*x**2 + 0. Factor u(p).
(p - 3)**2/3
Let h(q) be the second derivative of q**5/20 + 5*q**4/8 + 2*q**3 - 41*q**2/2 - 35*q. Let o(p) be the first derivative of h(p). Let o(y) = 0. Calculate y.
-4, -1
Let l be (3/18*-2)/(2/(-6)). Let h(y) = y - 1. Let r(g) = g**2 - 13. Let c(v) = l*r(v) - 6*h(v). Factor c(k).
(k - 7)*(k + 1)
Let c(l) = -116*l**4 - 344*l**3 + 84*l**2 + 280*l. Let t(h) = -18*h**4 - 53*h**3 + 13*h**2 + 43*h. Let f(m) = 5*c(m) - 32*t(m). Suppose f(v) = 0. What is v?
-