nd derivative of -8/3*z**3 + 0 - 2*z**2 - 9/20*z**5 - 7/4*z**4 + 4*z. Factor b(g).
-(g + 1)*(3*g + 2)**2
Let q(s) be the third derivative of 2*s**6/45 + 2*s**5/45 - 7*s**4/72 + s**3/18 + 18*s**2. Factor q(r).
(r + 1)*(4*r - 1)**2/3
Determine u, given that -6/5*u**2 - 22/5*u**3 + 0 + 8/5*u + 14/5*u**5 + 6/5*u**4 = 0.
-1, 0, 4/7, 1
Factor 3*v**4 + 0 - 9/2*v + 1/2*v**5 + 4*v**3 - 3*v**2.
v*(v - 1)*(v + 1)*(v + 3)**2/2
Let y(c) be the third derivative of c**6/40 + 13*c**5/40 + 3*c**4/8 + 31*c**2 - c. Factor y(m).
3*m*(m + 6)*(2*m + 1)/2
Suppose -4*j + 3*x + 8 = -x, -2*x + 2 = 0. Let v(y) = y**2 + 2*y - 2. Let q(k) = 2*k**2 + 3*k - 4. Let r(c) = j*q(c) - 5*v(c). Find f such that r(f) = 0.
-1, 2
Let i(a) be the first derivative of -a**5/80 + 5*a**4/96 - a**3/12 + a**2 - 2. Let c(f) be the second derivative of i(f). Factor c(s).
-(s - 1)*(3*s - 2)/4
Let j = -106 - -109. Let r(v) be the first derivative of 12*v**3 - j + 27/2*v**2 + 6*v + 15/4*v**4. Let r(f) = 0. What is f?
-1, -2/5
Let g = 32/23 + -242/207. Find w such that 0 + 1/9*w**2 - g*w = 0.
0, 2
Let u(o) = -o**3 - o**2. Let v(w) = 3*w**4 - 6*w**3 - 11*w**2 - 2*w. Let y(a) = 4*u(a) - v(a). Factor y(m).
-m*(m - 2)*(m + 1)*(3*m + 1)
Let c be 3/(-5) + (-13)/(-5). Suppose c*j = -0 + 4. Factor 2 + 3*z**j - 3*z**2 - 2*z**2.
-2*(z - 1)*(z + 1)
Factor -2/9*c + 4/9*c**2 - 2/9.
2*(c - 1)*(2*c + 1)/9
Let o(a) = -a**3 + 7*a**2 - 7*a + 8. Let m be o(6). Factor r**2 + r + 0*r + r + 0*r**m.
r*(r + 2)
Let s be (1*4/8*0)/3. Factor 0 - 1/5*u**2 + 1/5*u**5 - 1/5*u**3 + 1/5*u**4 + s*u.
u**2*(u - 1)*(u + 1)**2/5
Let j(c) be the first derivative of 0*c - 3 - 6/5*c**2 + 4*c**3 - 15/4*c**4. Suppose j(d) = 0. Calculate d.
0, 2/5
Let h be 38/14 - 18/(-63). Factor -5*p**3 - p + 3*p - 2 - p**h + 2*p**2 + 4*p**3.
-2*(p - 1)**2*(p + 1)
Suppose 3*w = -5*h - 20, -5*h = -w - 3*h + 8. Find a, given that 98/9*a**3 + w*a**2 - 8/9*a + 0 = 0.
-2/7, 0, 2/7
Suppose -s = 2 + 10. Let t(p) = 4*p**4 + 13*p**3 - 13*p + 1. Let g(q) = -10*q**4 - 32*q**3 + 32*q - 2. Let y(h) = s*t(h) - 5*g(h). Let y(d) = 0. Calculate d.
-1, 1
Let m(n) be the third derivative of -n**5/15 - n**4/2 + 4*n**2. Factor m(b).
-4*b*(b + 3)
Determine j, given that -12*j - 5 + 20*j**2 - 7*j**3 + 19*j**3 - 16*j**4 + 1 = 0.
-1, -1/4, 1
Suppose 9*m - 8 - 10 = 0. Factor -12/5*d**3 - 63/5*d + 27/5 + 48/5*d**m.
-3*(d - 1)*(2*d - 3)**2/5
Let r(s) be the second derivative of 0 + 0*s**3 - 1/24*s**4 - 1/120*s**6 + 3/80*s**5 - 5*s + 0*s**2. Factor r(f).
-f**2*(f - 2)*(f - 1)/4
Let c(m) be the second derivative of 0 + m + 0*m**2 - 1/90*m**6 + 0*m**3 + 0*m**4 + 1/120*m**5 + 1/252*m**7. Find u, given that c(u) = 0.
0, 1
Let g be ((-104)/(-64))/13*16. Determine o so that -4/17*o**3 - 2/17*o + 6/17*o**g + 0 = 0.
0, 1/2, 1
Let y(v) be the third derivative of v**8/2016 - v**7/315 + v**6/144 - v**5/180 + 8*v**2. Find l, given that y(l) = 0.
0, 1, 2
Let r(g) = -g**2 - 16*g - 13. Let i be r(-15). Factor -2/7*l**i + 0*l + 0 + 2/7*l**3.
2*l**2*(l - 1)/7
Let i = -7 + 11. Solve -5*k**2 + 14*k + i - 2*k**2 - k**2 = 0.
-1/4, 2
Let g(t) be the second derivative of -3/2*t**5 + 0 + 2*t**3 - 5/6*t**6 - 2*t**2 + t + 11/12*t**4. Find k, given that g(k) = 0.
-1, 2/5
Let j(p) be the first derivative of 1/4*p**4 + 0*p + 3 - 1/5*p**5 - 1/2*p**2 + 1/3*p**3. Determine r so that j(r) = 0.
-1, 0, 1
Let g(i) be the second derivative of -i**7/252 - i**6/30 - i**5/60 + 2*i**4/9 + i**3/12 - 5*i**2/6 + 2*i - 3. Determine y so that g(y) = 0.
-5, -2, -1, 1
Let b**2 - 2/3*b**3 + 1/6 - 2/3*b + 1/6*b**4 = 0. What is b?
1
Let h(g) be the third derivative of -g**6/24 - 13*g**5/60 - g**4/6 + 2*g**3/3 + 15*g**2. What is v in h(v) = 0?
-2, -1, 2/5
Let p be ((-4)/3)/((-4)/6). Suppose -3*l**3 + 36*l**2 - 3*l**4 - 36*l**p + 0*l**4 = 0. What is l?
-1, 0
Factor 2/5*l**4 + 2/5*l - 2/5*l**2 - 2/5*l**3 + 0.
2*l*(l - 1)**2*(l + 1)/5
Find w such that -2/5*w**4 + 2 - 12/5*w**3 + 12/5*w - 8/5*w**2 = 0.
-5, -1, 1
Factor 0*c - 4/5*c**3 - 4/5*c**4 + 4/5*c**5 + 0 + 4/5*c**2.
4*c**2*(c - 1)**2*(c + 1)/5
Let l(a) = 6*a**3 - a**2. Let m(b) = -4*b**3 + b**2. Let v be ((-28)/6)/((-8)/12). Let t(f) = v*m(f) + 5*l(f). Solve t(g) = 0.
-1, 0
Let n(i) be the third derivative of i**5/120 - 5*i**4/24 + 25*i**3/12 + 8*i**2. Factor n(z).
(z - 5)**2/2
Let q(d) = 3*d**4 - 4*d**3 + d**2 - 5*d. Let v(n) = n**3 - n**2 - n. Let c(y) = q(y) - 5*v(y). Solve c(x) = 0 for x.
0, 1, 2
Let w = 109 + -1307/12. Let x(j) be the second derivative of -1/2*j**2 + 0*j**3 - 2*j + 0 + w*j**4. Factor x(s).
(s - 1)*(s + 1)
Let y(h) = -57*h**4 + 87*h**3 + 111*h**2 + 33*h. Let q(t) = 7*t**4 - 11*t**3 - 14*t**2 - 4*t. Let o(w) = 33*q(w) + 4*y(w). Factor o(i).
3*i**2*(i - 6)*(i + 1)
Let f(s) = 13 - 2*s - 13 + 14. Let k be f(6). Factor 2/5*o - 2/5*o**k + 4/5.
-2*(o - 2)*(o + 1)/5
Factor 0*p**2 + 0 - 4/3*p**4 + 0*p + 4*p**3.
-4*p**3*(p - 3)/3
Let z(t) = -t**3 + 5*t**2 - t + 5. Let c(j) = -3*j**3 + 10*j**2 - 3*j + 10. Let x(g) = 2*c(g) - 5*z(g). Let s be x(-5). Let s + 2/3*o**2 + 2/3*o = 0. What is o?
-1, 0
Let n(l) = l**2 - 12*l + 39. Let v be n(6). Determine u so that 2/3*u**2 - 2/3*u**4 + 0 + 2/3*u - 2/3*u**v = 0.
-1, 0, 1
Let h = -19 + 21. Suppose 0 = h*u - 5*a - 4, 6 - 14 = -4*u - 3*a. Determine f so that 2/7*f**u - 2/7 + 0*f = 0.
-1, 1
Let g(q) be the first derivative of -2/9*q**3 + 1/4*q**4 + 0*q + 0*q**2 - 9. Factor g(j).
j**2*(3*j - 2)/3
Suppose -2*x - 4 = -4*x - 2*f, 3*f + 12 = 3*x. Let t(j) be the first derivative of 0*j**x + 1 + 0*j - 1/8*j**4 + 0*j**2. Find r, given that t(r) = 0.
0
Let j(r) be the third derivative of 0*r**4 + 0*r - 1/60*r**5 + 0 - r**2 + 1/6*r**3. Factor j(k).
-(k - 1)*(k + 1)
Let d(x) be the second derivative of -x**6/165 - 3*x**5/110 + 3*x. Factor d(y).
-2*y**3*(y + 3)/11
Let u = -651394418/847 - -769061. Let s = u + -1/121. Solve -s*x**5 + 0 + 2/7*x**4 - 2/7*x**2 + 2/7*x**3 + 0*x = 0 for x.
-1, 0, 1
Suppose -2*f + 10 = 0, -l - 3*f = -10 - 5. Find z such that z**4 + 1/2*z**3 + 0 + l*z - 1/2*z**2 = 0.
-1, 0, 1/2
Let p(x) be the second derivative of -1/300*x**5 + 0*x**4 + 0*x**3 + 0 - x - x**2. Let y(i) be the first derivative of p(i). Factor y(q).
-q**2/5
Let h(l) be the second derivative of -3*l**5/20 - 5*l**4/4 - 2*l**3 + 25*l. What is x in h(x) = 0?
-4, -1, 0
Solve -5*n + 2*n**2 + 3 - 9*n**2 - 3*n**3 - 4 = 0 for n.
-1, -1/3
Let u(n) = -2*n**3 + 7*n**2 - 3*n - 2. Let r(a) = a**3 - 3*a**2 + a + 1. Suppose 2*q - 4*b = 24, 0*b + 3*b = 3*q - 21. Let l(d) = q*u(d) + 5*r(d). Factor l(m).
(m - 1)**2*(m + 1)
Let j = -5 - -9. Let f be (-54)/(-8) - (-1)/j. Determine o so that 3*o**4 - f*o**3 - 5*o**4 + o**2 + o**2 + 2*o + 5*o**3 = 0.
-1, 0, 1
Factor -8/3*p**3 + 2/3*p**4 - 8/3*p + 4*p**2 + 2/3.
2*(p - 1)**4/3
Let u(n) be the first derivative of 3 - 1/3*n - 4/15*n**5 - 1/4*n**4 + 1/2*n**2 + 5/9*n**3. What is g in u(g) = 0?
-1, 1/4, 1
Suppose 3*g - 12 = 0, 3*f - 9 = -4*g + 7. Factor -1/3*n**3 - 1/3*n + f + 2/3*n**2.
-n*(n - 1)**2/3
Let p(m) be the first derivative of -2*m**6/3 - 28*m**5/5 - 19*m**4 - 100*m**3/3 - 32*m**2 - 16*m + 1. Factor p(j).
-4*(j + 1)**3*(j + 2)**2
Let m be 2/4*(5 + 15). Solve -8*x**2 - 2*x**3 - 4 - 5*x**2 - m*x + 5*x**2 = 0 for x.
-2, -1
Let m(v) be the second derivative of 0*v**2 + 1/42*v**4 + 0 + v + 1/70*v**5 + 0*v**3. Factor m(y).
2*y**2*(y + 1)/7
Let o(f) be the second derivative of 5/4*f**4 - 4*f + 0*f**2 + 0 + 51/80*f**5 + 1/10*f**6 + 1/2*f**3. Suppose o(v) = 0. Calculate v.
-2, -1/4, 0
Suppose 4/5*v**2 + 0 + 6/5*v - 2/5*v**3 = 0. What is v?
-1, 0, 3
Let r = -2/9 - -5/9. Let o(c) be the first derivative of 2*c**2 + r*c**3 - 1 + 4*c. Find x, given that o(x) = 0.
-2
Let d be (-2)/7*14/(-6). Let i be (-8)/14 - 36/(-14). Factor -2/3*s**i + 0*s + d.
-2*(s - 1)*(s + 1)/3
Let g(j) be the third derivative of -4*j**2 + 1/40*j**4 + 1/350*j**7 + 0 - 1/300*j**6 - 1/1680*j**8 - 1/30*j**3 + 0*j - 1/150*j**5. Factor g(k).
-(k - 1)**4*(k + 1)/5
Let f(u) = -u**3 - 6*u**2 + 7*u + 2. Let y(l) = l**3 - l**2 - 4*l - 3. Let n be y(-2). Let z be f(n). Find g, given that -2*g - 3*g + 4*g + z*g**3 - g**5 = 0.
-1, 0, 1
Let x(z) be the second derivative of -1/6*z**3 - 1/100*z**5 + 1/15*z**4 - 3*z + 0 + 1/5*z**2. Suppose x(c) = 0. Calculate c.
1, 2
Let y be (-4 + 7)/((-1)/(-1)). Let -5*m**y - 5*m**5 - 17*m**4 + 40*m**2 - 123*m**4 - m**3 + 103*m**5 + 8*m = 0