*3 + 2/7*l - 3/7*l**4 + 0 - l**2 = 0.
0, 2/3, 1
Solve 0*h**3 + 0 + 0*h**2 + 3/4*h**5 - 3/2*h**4 + 0*h = 0 for h.
0, 2
Let i(l) be the third derivative of 1/18*l**5 + 8*l**2 + 0 - 5/6*l**3 - 25/72*l**4 + 0*l. Factor i(y).
5*(y - 3)*(2*y + 1)/3
Let y(z) be the second derivative of -z**4/28 - 3*z**3/2 - 30*z**2/7 - 421*z. Determine i, given that y(i) = 0.
-20, -1
Let h(x) be the first derivative of x**6/540 - 2*x**5/135 + x**4/27 - 5*x**2 - 11. Let n(w) be the second derivative of h(w). Factor n(j).
2*j*(j - 2)**2/9
Let o(s) be the first derivative of -5 + 2/5*s + 2/5*s**2 + 2/15*s**3. Factor o(w).
2*(w + 1)**2/5
Let z(d) be the third derivative of 2*d**7/105 + d**6/15 - d**5/5 - 2*d**4/3 + 8*d**3/3 + 2*d**2 + 111. Factor z(a).
4*(a - 1)**2*(a + 2)**2
Let b(o) be the third derivative of -o**5/300 - 7*o**4/20 - 8*o**3/3 - 2*o**2 - 76*o. Factor b(u).
-(u + 2)*(u + 40)/5
Suppose -24 = -y - 3*y. Let s be 2*3/y*3. Solve -2*h**2 + 2*h**s - h**5 - 2*h**2 - h + 4*h**2 = 0 for h.
-1, 0, 1
Let z(w) be the first derivative of -w**6/70 + 3*w**5/140 + w**4/28 - w**3/14 + 14*w - 16. Let t(i) be the first derivative of z(i). Find r such that t(r) = 0.
-1, 0, 1
Let b(u) be the third derivative of u**7/2100 - 4*u**6/75 + 31*u**5/300 + 4*u**4/15 - 21*u**3/20 - 566*u**2. Factor b(t).
(t - 63)*(t - 1)**2*(t + 1)/10
Let -887*k - 895*k - 72 + 4*k**2 + 1770*k = 0. Calculate k.
-3, 6
Let g be (-10)/(-105) - (-357)/196*2/9. Factor -1/4*r**3 + 1/4*r + 3/4*r**2 - 1/4*r**4 - g.
-(r - 1)**2*(r + 1)*(r + 2)/4
Let x be 51/17 + (-1 - -1). Determine f, given that -4*f + 12*f**2 + 8*f**2 + 18*f**3 - 34*f**x = 0.
0, 1/4, 1
Let w be 8/(-24) - (-1 + 0). Solve -1/3*y**5 + 0 + 1/3*y**3 + 0*y - w*y**2 + 2/3*y**4 = 0 for y.
-1, 0, 1, 2
Solve -5/4*s**2 + 1/4*s**4 + 3/4*s - 3/4*s**3 + 1 = 0 for s.
-1, 1, 4
Suppose -3*n + f + 3 = 0, -2*n + 3*f + 5 = -4. Suppose -3*j - j + 20 = n. Find m such that -5*m**3 - 6*m**j + 2*m**2 + 0*m**3 - 10*m**4 + 3*m**3 = 0.
-1, 0, 1/3
Let b(k) be the first derivative of -k**2 + 7/5*k**5 + 19 - 4*k**4 + 0*k + 11/3*k**3. Suppose b(p) = 0. Calculate p.
0, 2/7, 1
Let c be ((-9)/12)/(1/4) - -1. Let a be -1 - 1 - (0 + 0 + c). Factor a*m**2 + 0 - 2/13*m**3 + 2/13*m.
-2*m*(m - 1)*(m + 1)/13
Suppose 16*h = -31*h + 282. Let c(f) be the first derivative of 7 - 1/18*f**3 + 0*f + 0*f**2 + 1/8*f**4 + 1/36*f**h - 1/10*f**5. Suppose c(l) = 0. Calculate l.
0, 1
Let t = 212 + -847/4. Suppose -2 = 22*j - 23*j. Factor -t*b**4 + 0 - 1/4*b + 1/4*b**j + 1/4*b**3.
-b*(b - 1)**2*(b + 1)/4
Let v(z) be the third derivative of 2*z**7/105 + 7*z**6/30 + 6*z**5/5 + 10*z**4/3 + 16*z**3/3 - 4*z**2. Find o, given that v(o) = 0.
-2, -1
Factor 9*r**2 + 42 + 45*r + 14*r**2 + 9*r**2 - 29*r**2.
3*(r + 1)*(r + 14)
Let j = 503 - 501. Let n(h) be the second derivative of -1/30*h**6 + 6*h + 0*h**j - 3/2*h**3 + 0 - 1/4*h**4 + 1/4*h**5. Factor n(u).
-u*(u - 3)**2*(u + 1)
Let l be -8 + 20/6 + (-3)/9. Let s be 8/20*l/(-8). Let -1/4*v**2 + s*v + 1/4*v**4 - 1/4*v**3 + 0 = 0. What is v?
-1, 0, 1
Let p(w) be the first derivative of w**4/12 + w**3/3 + 10*w + 24. Let s(x) be the first derivative of p(x). Determine a so that s(a) = 0.
-2, 0
Let k = 8396 + -8393. Factor 1/3*t**4 + t**k - t**2 - 11/3*t - 2.
(t - 2)*(t + 1)**2*(t + 3)/3
Let j(f) be the third derivative of f**8/672 + f**7/70 + 11*f**6/240 + f**5/20 - 79*f**2. Factor j(m).
m**2*(m + 1)*(m + 2)*(m + 3)/2
Let b = 103681/11 + -9419. Determine l so that 8/11 + 284/11*l**2 + b*l**4 - 354/11*l**3 - 82/11*l = 0.
1/4, 1/3, 4
Find g, given that -3 - 1/3*g**3 - 11/3*g**2 - 19/3*g = 0.
-9, -1
Let s = -72 - -72. Let f(t) be the third derivative of -1/21*t**3 + 0*t**4 + s*t + 1/210*t**5 + 0 + 3*t**2. Determine q so that f(q) = 0.
-1, 1
Suppose -3*y - 14 = -2*f, -12*y + 2 = -13*y. Factor t**f - 1/4*t**5 + 0*t + 0 - 5/4*t**3 + 1/2*t**2.
-t**2*(t - 2)*(t - 1)**2/4
Suppose 21*n - 3 - 3 = 36. Factor -6*f + 0*f**3 - 3/4*f**4 + 9/2*f**n + 9/4.
-3*(f - 1)**3*(f + 3)/4
Let f(h) = -5*h**2 + 25*h - 27. Let v(p) = 10*p - 14. Let i be v(0). Let y(d) = 2*d**2 - 12*d + 13. Let c(q) = i*y(q) - 6*f(q). Solve c(s) = 0 for s.
-10, 1
Determine a, given that 16/3*a**3 + 8/3*a**2 - 2/3*a**5 - 32/9*a - 14/9*a**4 + 0 = 0.
-4, -1, 0, 2/3, 2
Let d(k) = 44*k**2 + 40*k. Let z(v) = 9*v**2 + 8*v. Suppose 5*o = 4 - 29. Let x(m) = o*d(m) + 24*z(m). Solve x(g) = 0 for g.
-2, 0
Suppose -2*o = -i + 3, 7*i + 3*o = 9*i - 6. Let u(p) be the third derivative of -1/8*p**i + 0*p - 3*p**2 + 1/16*p**5 + 0 + 1/24*p**4. Factor u(f).
(3*f - 1)*(5*f + 3)/4
Let h(o) be the third derivative of -o**6/180 - 11*o**5/5 - 363*o**4 - 31944*o**3 - 2*o**2 + 139*o. Suppose h(r) = 0. What is r?
-66
Let s(g) be the second derivative of -g**6/5 + 19*g**5/10 - 22*g**4/3 + 44*g**3/3 - 16*g**2 + 197*g. Determine a, given that s(a) = 0.
1, 4/3, 2
Find p such that 25/4*p**4 + 35/4*p + 5/4*p**3 + 5/2 - 75/4*p**2 = 0.
-2, -1/5, 1
Factor 14/9*z**3 + 0 - 4/3*z + 22/9*z**2.
2*z*(z + 2)*(7*z - 3)/9
Suppose 4*t - 10 = -3*n, -8 = -n - 4*t - 2. Let d(u) be the first derivative of 0*u**n - 1/3*u**4 + 1 + 0*u - 2/15*u**5 - 2/9*u**3. Factor d(x).
-2*x**2*(x + 1)**2/3
Suppose 4*l = -2*x + 5 - 15, -30 = -5*x + l. Let p(s) be the second derivative of 0*s**2 + s + 0*s**3 + 0*s**x - 1/105*s**6 + 0 + 0*s**4. Factor p(t).
-2*t**4/7
Let n(c) be the second derivative of c**4/18 + c**3/9 + 78*c. Suppose n(d) = 0. Calculate d.
-1, 0
Let d(n) be the first derivative of -2*n**6/3 + 20*n**5 - 235*n**4 + 4060*n**3/3 - 3920*n**2 + 5488*n - 9. Suppose d(z) = 0. Calculate z.
2, 7
Factor 13/2*j + 7 - 1/2*j**2.
-(j - 14)*(j + 1)/2
Let k(g) be the third derivative of 0*g**4 - 1/90*g**5 - 8*g**2 + 0 + 0*g**3 - 1/72*g**6 + 0*g. Suppose k(t) = 0. What is t?
-2/5, 0
Factor 540/7*k**2 - 3240/7*k - 45/7*k**4 + 2592/7 + 150/7*k**3 + 3/7*k**5.
3*(k - 6)**3*(k - 1)*(k + 4)/7
Let z(g) = -g**2 - 11*g + 22. Let f be z(-18). Let u = f + 108. Solve -3/5*s**u + 3/5*s**2 - 3/5*s + 3/5*s**3 + 0 = 0 for s.
-1, 0, 1
Let w(k) be the first derivative of -k**4/18 + 22*k**3/27 - 4*k**2 + 8*k + 97. Factor w(y).
-2*(y - 6)*(y - 3)*(y - 2)/9
Let u(b) = -13*b**2 - 32*b. Let o(c) = 38*c + 10*c - 10*c**2 + 30*c**2. Let h(y) = 5*o(y) + 8*u(y). Factor h(p).
-4*p*(p + 4)
Let h = 1447/970 + 4/485. Let -9/2 + 6*j - h*j**2 = 0. Calculate j.
1, 3
Let y(r) = r**2 - 15*r - 12. Let x be y(16). Factor -x*t**3 - 7*t**4 + 0*t**3 + 2*t**5 + 4*t**4 + t**4.
2*t**3*(t - 2)*(t + 1)
Let v be 40/5*(-6)/(-8). Let z be 0 + ((-2)/v - (-6 + 3)). Find s, given that z*s + 2/3*s**2 + 8/3 = 0.
-2
Let x(m) be the third derivative of -m**6/360 - 7*m**5/45 - 11*m**4/8 - 4*m**3 - 2*m**2 - 171. Determine u, given that x(u) = 0.
-24, -3, -1
Let x(n) be the second derivative of 16*n**7/105 + 104*n**6/75 + 73*n**5/50 - 313*n**4/30 + 136*n**3/15 - 16*n**2/5 + 2*n - 168. Determine f so that x(f) = 0.
-4, 1/4, 1
Suppose -4*m = c, m + 4*c = m. Let n(d) be the third derivative of -1/15*d**5 - 1/180*d**6 + m - 2*d**2 - 8/9*d**3 + 0*d - 1/3*d**4. Factor n(t).
-2*(t + 2)**3/3
Let i(s) = 5*s**3 + 215*s**2 + 25*s. Let g(p) = p**3 + 36*p**2 + 4*p. Let q(d) = -25*g(d) + 4*i(d). Solve q(o) = 0.
-8, 0
Let m(l) be the first derivative of -27 - 3/2*l**4 + 0*l**2 + 3/5*l**5 + l**3 + 0*l. Factor m(x).
3*x**2*(x - 1)**2
Let q(x) be the second derivative of -x**8/43680 + x**7/1820 - x**6/312 - 5*x**5/156 - x**4/3 + 22*x. Let u(n) be the third derivative of q(n). Factor u(a).
-2*(a - 5)**2*(a + 1)/13
Let l be (24/(-15))/((-820)/1025). Factor 1/8*d**l + 0*d - 9/8.
(d - 3)*(d + 3)/8
Let b(r) be the first derivative of 11 - 1/2*r**2 + 0*r - 1/3*r**3. Factor b(i).
-i*(i + 1)
Let q(z) be the second derivative of -z**9/12096 + z**8/6720 + z**7/1680 - 5*z**3/6 + 36*z. Let g(p) be the second derivative of q(p). Solve g(f) = 0 for f.
-1, 0, 2
Suppose -1 = -4*r + 7. Let h(n) be the second derivative of -r*n - 1/20*n**5 - 5/6*n**3 - 1/3*n**4 - n**2 + 0. Solve h(j) = 0.
-2, -1
Let n(h) be the third derivative of -h**5/30 - h**4/12 + 2*h**3 + 2*h**2 + 3*h. Factor n(o).
-2*(o - 2)*(o + 3)
Let j(s) be the first derivative of 2*s**5/65 + 31*s**4/13 + 46*s**3 - 1984*s**2/13 + 2048*s/13 - 91. What is n in j(n) = 0?
-32, 1
Find x, given that -14/5*x**2 - 2/5*x**3 - 18/5 - 6*x = 0.
-3, -1
Factor 20*o**4 - 171*o**2 + 4*o**5 + 327*o**2 - 12*o - 8*o**4 + 9*o**3 