l**4 - 26*l**3/3 - 6*l**2 + 9*l + 10. Solve n(j) = 0 for j.
-1, 3/5
Let o(x) be the first derivative of -x**8/7560 - x**7/1890 - x**6/1620 - 2*x**3 - 2. Let p(b) be the third derivative of o(b). Factor p(r).
-2*r**2*(r + 1)**2/9
Factor -4/5*k**2 + 6/5*k**3 + 0*k + 0 - 2/5*k**4.
-2*k**2*(k - 2)*(k - 1)/5
Let c(f) be the third derivative of -f**8/112 + f**7/70 + f**6/40 - f**5/20 + 18*f**2. Factor c(l).
-3*l**2*(l - 1)**2*(l + 1)
Let p be (-8)/(-60)*273 - 7. Factor -12/5*g - p*g**3 + 84/5*g**2 + 0.
-3*g*(7*g - 2)**2/5
Let q(u) be the first derivative of -u**4/14 + 2*u**3/7 - 8*u/7 - 52. Factor q(r).
-2*(r - 2)**2*(r + 1)/7
Let h(p) be the first derivative of -1/4*p**2 - 1/12*p**3 - 4 + 0*p + 1/16*p**4. Determine y so that h(y) = 0.
-1, 0, 2
Let c be 4 + 2/(-4)*9 + 1. Factor 0*t - c*t**3 + 0 - 1/4*t**2.
-t**2*(2*t + 1)/4
Let a(r) be the third derivative of r**7/2940 + r**6/1260 + r**3/6 + 2*r**2. Let v(s) be the first derivative of a(s). Find h such that v(h) = 0.
-1, 0
Let i(p) be the third derivative of 0 + 0*p**3 + 1/15*p**5 + 0*p - 1/6*p**4 + p**2 + 1/15*p**6. Factor i(v).
4*v*(v + 1)*(2*v - 1)
Determine c, given that 20*c**2 + 46*c**4 - 9*c + 17*c**4 - 12*c**5 + 37*c**2 - 99*c**3 + 0*c**2 = 0.
0, 1/4, 1, 3
Let r(y) be the third derivative of 0*y + 0 + 1/330*y**5 + 0*y**6 - 1/1155*y**7 + 0*y**4 + 0*y**3 - y**2. Suppose r(h) = 0. Calculate h.
-1, 0, 1
Let p = -11 - -23/2. Let -p*w**2 - 1/2 + w = 0. Calculate w.
1
Let a(c) be the third derivative of c**6/280 - c**5/140 - 5*c**4/56 - 3*c**3/14 - 4*c**2. What is w in a(w) = 0?
-1, 3
Let m(s) = -11*s + 10. Let o be m(-4). Let y be (-18)/o*(0 - 2). Factor -8/3 - y*f**2 + 8/3*f.
-2*(f - 2)**2/3
Let z be (1/2)/(0 - -2). Let j be -2 + (108/(-16))/(-3). Solve 1/4*v**5 + 0*v + 0 - j*v**4 + 1/4*v**2 - z*v**3 = 0 for v.
-1, 0, 1
Let m(w) = w + 5. Let z be m(-3). Suppose -5*y = 4*k + 8, -2*k - 3*y = z*k. Factor c**2 + k*c + c**3 + 2*c**2 + 0*c**2 + 1.
(c + 1)**3
Let d(l) be the third derivative of -l**6/1260 - l**5/315 + l**4/36 - 4*l**3/63 + 33*l**2. What is r in d(r) = 0?
-4, 1
Suppose -6*y + 15790 = -y. Let l = y + -2158. Let -15 + 104*a + 56*a - 600*a**2 - 1 + l*a**3 - 625*a**4 = 0. Calculate a.
2/5
Suppose 6/7*x - 3/7*x**2 - 3/7 = 0. What is x?
1
Let i(w) be the second derivative of 6*w**2 + 9/10*w**5 + 9/40*w**6 - w - 1/2*w**4 - 4*w**3 + 0. Factor i(z).
3*(z + 2)**2*(3*z - 2)**2/4
Let y be (-6)/(-4)*24/9. Factor 2*z**2 + 2*z + y*z**2 - 4*z**2.
2*z*(z + 1)
Let z = 61/20 + -14/5. Factor z*s + 0 + 1/4*s**2.
s*(s + 1)/4
Factor 25/7*r**2 + 1/7 - 10/7*r.
(5*r - 1)**2/7
Let o(i) = -5*i**2 - 65*i - 175. Let l(m) = -5*m**2 - 66*m - 174. Let j(s) = -5*l(s) + 6*o(s). Determine h so that j(h) = 0.
-6
Let o(h) be the third derivative of -1/480*h**6 + 0 + 1/24*h**3 + 1/80*h**5 - 1/32*h**4 + 0*h - 4*h**2. Suppose o(f) = 0. Calculate f.
1
Determine o, given that -o**2 - 2 - 12*o + 27*o**4 - 23*o**2 - 20*o**3 - 33*o**4 = 0.
-1, -1/3
Let n be -1*3/((-18)/2). Let z be 2 - (0 - 10/(-6)). Factor 2/3*u**2 - u**4 + n + 2/3*u**3 + z*u**5 - u.
(u - 1)**4*(u + 1)/3
Let q(l) = -15*l**3 + 6*l**2 + 15*l - 6. Let r(i) = -i**3 + i. Let u(a) = q(a) - 6*r(a). Factor u(y).
-3*(y - 1)*(y + 1)*(3*y - 2)
Let o(q) be the first derivative of 8*q**3/27 + q**2/3 - 2*q/9 + 5. Factor o(f).
2*(f + 1)*(4*f - 1)/9
Suppose 0*b - 3*b = -15. Factor 4*y**3 + 3*y**2 - y**4 - 5*y**3 - 2*y**2 + y**b.
y**2*(y - 1)**2*(y + 1)
Let y = -105 - -529/5. Factor -y*c**2 + 0 - 2/5*c - 2/5*c**3.
-2*c*(c + 1)**2/5
Let j be (-2 + 0)/(4/(-10)). Let d = j + -1. Factor -2*u**2 - 2*u - u**4 + 3*u - u**5 + 3*u**d.
-u*(u - 1)**3*(u + 1)
Let z be (-1)/(-2)*68/(-42). Let r = 8/7 + z. Factor -4/3*x**2 - r*x**5 - 1/3*x + 0 - 4/3*x**4 - 2*x**3.
-x*(x + 1)**4/3
Let h be (-470)/(-400) + 6/(-16). Solve -h*k**2 + 2/5*k + 0 + 2/5*k**3 = 0 for k.
0, 1
What is i in 0 - 1/2*i**5 + 5/8*i**4 - 1/8*i**3 + 0*i**2 + 0*i = 0?
0, 1/4, 1
Let m be (0 + 0)/(-1 + 0). Let p(b) be the second derivative of 0*b**2 + 1/6*b**4 + 0 + b + m*b**3. Determine u, given that p(u) = 0.
0
Let d(w) be the first derivative of -5*w**4/4 - 25*w**3/3 - 20*w**2 - 20*w - 23. Factor d(b).
-5*(b + 1)*(b + 2)**2
Suppose -4*d + 7 = -9. Suppose -3*g + 43 = -5*l + l, -3*l + 36 = g. Solve d - 9*j**3 + g*j**2 - 4*j - 18*j + 6*j = 0 for j.
2/3, 1
Let f be 19 + -24 - (4 + 44/(-4)). Factor 0 + 0*d + 1/2*d**f.
d**2/2
Let l(g) be the third derivative of -g**5/450 + g**4/60 + 8*g**2. Factor l(q).
-2*q*(q - 3)/15
Suppose 0 = -5*u + 6 + 14. Factor 2/5*a**5 + 2/15*a**2 + 0 + 14/15*a**u + 0*a + 2/3*a**3.
2*a**2*(a + 1)**2*(3*a + 1)/15
Suppose 0 = 3*c + 2*q + 11, 5*q + 16 = c + 3*c. Let s(d) = d**2 + 2*d + 1. Let i be s(c). What is l in 2/9*l**4 - 2/9*l**2 + i*l + 0*l**3 + 0 = 0?
-1, 0, 1
Let 2*i**2 + 0*i**2 - 11 + 2*i - i**2 + 8*i = 0. What is i?
-11, 1
Let t be (-1)/(-4) - (-122)/(-8). Let a be -2*(-1)/(-2) - t. Factor -4*r - a*r - 4 - 5*r**2 - 9*r**2.
-2*(r + 1)*(7*r + 2)
Let w(t) be the first derivative of -3 + 0*t + 0*t**2 - 2/15*t**3. Find f such that w(f) = 0.
0
Let i = 180 + -178. Solve 1/3*b - 1/6*b**i + 0 = 0 for b.
0, 2
Let g(l) be the first derivative of -l**3/9 + l**2/3 + 6. What is f in g(f) = 0?
0, 2
Let m(h) be the second derivative of -21*h**5/100 - 3*h**4/5 + 2*h**3/5 + 7*h. Let m(b) = 0. Calculate b.
-2, 0, 2/7
Let x(n) be the third derivative of n**6/60 + n**5/60 - n**4/24 + 6*n**2. Find w, given that x(w) = 0.
-1, 0, 1/2
Factor 5*j**3 + 4*j**2 - 4*j**2 - 2*j**3.
3*j**3
Let 5*v**2 - 5*v**3 + 2*v**3 + 4*v**3 - 6*v**2 = 0. What is v?
0, 1
Factor 0 + 1/7*i**4 + 0*i + 0*i**2 + 0*i**3.
i**4/7
Factor -5*g - 3*g**2 + 4*g + 7*g.
-3*g*(g - 2)
Find k, given that -4/7*k**4 + 0 + 4/7*k**2 + 8/7*k - 8/7*k**3 = 0.
-2, -1, 0, 1
What is o in 32/3*o + 20/3*o**2 + 4/3*o**3 + 16/3 = 0?
-2, -1
Determine g so that 1/4*g**3 - g + 1/4*g**2 - 1 = 0.
-2, -1, 2
Let i(w) = -7*w**2 + 10*w + 2. Let v(y) = y**3 + 14*y**2 - 22*y - 5. Let u(o) = 10*i(o) + 4*v(o). Factor u(f).
2*f*(f - 2)*(2*f - 3)
Let f = 374041/180 + -2078. Let j(g) be the third derivative of 2*g**2 - 8/9*g**3 + 0*g - 1/15*g**5 - 1/3*g**4 + 0 - f*g**6. Factor j(r).
-2*(r + 2)**3/3
Let r(k) be the first derivative of 9/2*k**2 + 1 - 4*k**3 + 3*k. Solve r(f) = 0.
-1/4, 1
Let h(y) be the second derivative of y**8/3360 + y**4/4 - 2*y. Let a(t) be the third derivative of h(t). Factor a(u).
2*u**3
Let h(r) be the first derivative of -3 - 1/9*r**3 + 1/15*r**5 + 1/18*r**6 + 0*r - 1/12*r**4 + 0*r**2. Factor h(b).
b**2*(b - 1)*(b + 1)**2/3
Let a(w) = 7*w - 17. Let i(j) = 6*j - 16. Let b(m) = 4*a(m) - 5*i(m). Let c be b(6). Factor 4/9*f + c + 10/9*f**2 + 2/9*f**4 + 8/9*f**3.
2*f*(f + 1)**2*(f + 2)/9
Let u(b) = 2*b**3 - 13*b**2 - 8*b + 9. Let k be u(7). Suppose 6*z + 9/2*z**k - 6 = 0. What is z?
-2, 2/3
Let o be ((-1)/(-2))/((-150)/(-60)). Let 2/5*t**3 + o*t**4 - 2/5*t - 1/5 + 0*t**2 = 0. Calculate t.
-1, 1
Let j(h) be the first derivative of 2*h**3/57 - 3*h**2/19 + 4*h/19 - 33. Factor j(g).
2*(g - 2)*(g - 1)/19
Suppose -h + 4 = -4. Suppose 2*w = -w + 5*b - 16, 4*b = 4*w + h. Suppose -3*d**2 + 6*d**w + 2*d**4 + 5*d**2 - 4*d**2 + 6*d**4 = 0. What is d?
-1, 0, 1/4
Let l be (159/(-147) - -1)/(10/(-35)). Factor -l*d + 0 + 2/7*d**3 + 0*d**2.
2*d*(d - 1)*(d + 1)/7
Let k(o) be the first derivative of 0*o**2 + 2 - 4*o - 3/5*o**5 + 3*o**3 + 1/2*o**4. Factor k(w).
-(w - 2)*(w + 1)**2*(3*w - 2)
Suppose -4 + 25*h + 3 + 5*h**2 + 21 = 0. Calculate h.
-4, -1
Suppose 18 = -0*r + r - 4*k, -14 = -2*r - 3*k. Let w be (-7 + 4)*r/(-6). Factor 4 - 3*l**w - 4 + 4*l**5 - l**3.
l**3*(l - 1)*(l + 1)
Suppose -w - 3*w = -12. Suppose -7*z = -w*z - 8. Determine k, given that -2/5*k + 2/5*k**3 + 4/5 - 4/5*k**z = 0.
-1, 1, 2
Let s = 5 - 3. Let g(k) be the first derivative of -1/4*k**4 + 2 + 0*k - 2/3*k**3 - 1/2*k**s. Solve g(d) = 0.
-1, 0
Let t(u) be the second derivative of -u**7/5040 + u**6/720 - u**4/6 - 2*u. Let w(s) be the third derivative of t(s). Factor w(c).
-c*(c - 2)/2
Let t(r) = -r**2 - 6*r - 4. Let j be t(-3). Find b such that -4*b**4 - 7*b**3 + 3*b - 1 + 2*b**3 + j*b**2 + 2*b**3 = 0.
-1, 1/4, 1
Let g(j) = j - 1. Let n(v) = 2*v**2 + 18*v + 12. Let f(o) = 6*g(o) - n(o). Factor f(i).
-2*(i + 3)**2
Suppose -5*r = 10, -3*r = 2*m - 4*r - 10. Determine v, given that -4/3*v**3 + 0 + 0*v + 2/3*v**2 + 2/3*v**m = 0.