4*o**3/51 + o**2/17 + 24. Solve w(m) = 0.
-1, 0, 1/4
Let n(a) be the first derivative of 2/21*a**3 + 0*a - 1/7*a**2 - 5. Solve n(t) = 0.
0, 1
Suppose -t - 6 = -4*s, 0*t + 2*t + 4*s - 12 = 0. Let r = -6 - -8. Factor 0*d + 2*d + 0*d - 2*d**3 + t - r*d**2.
-2*(d - 1)*(d + 1)**2
Let g(m) be the third derivative of 2*m**2 - 1/6*m**3 - 1/60*m**5 + 0*m + 1/12*m**4 + 0. What is r in g(r) = 0?
1
Let l(v) = v**2 - 20*v - 10. Let t(s) = 4*s + 2. Let w(d) = -2*l(d) - 11*t(d). Factor w(y).
-2*(y + 1)**2
Let w be (14 - 17) + 17/5. Suppose -2/5*n**3 - w*n - 4/5*n**2 + 0 = 0. What is n?
-1, 0
Let m(c) be the second derivative of c**5/100 - c**3/10 + c**2/5 + 4*c. Find p such that m(p) = 0.
-2, 1
Let g(m) be the first derivative of m**5 + 5*m**4 + 25*m**3/3 + 5*m**2 + 22. Suppose g(s) = 0. What is s?
-2, -1, 0
Let m(i) be the third derivative of i**8/168 - 2*i**7/105 - 17*i**2. Factor m(g).
2*g**4*(g - 2)
Let k be 1/(-28) + 48/21 + -2. Let 1/4*g**2 + 1/4*g**3 + 0 - k*g - 1/4*g**4 = 0. What is g?
-1, 0, 1
Solve 2*z**3 - 3*z**3 - 4 + z**2 - 126*z - 7*z**2 + 117*z = 0 for z.
-4, -1
Let m(v) be the second derivative of -5*v**4/4 - 10*v**3/3 - 5*v**2/2 + 10*v. Let m(r) = 0. What is r?
-1, -1/3
Let p(y) = -2*y**2 + 8*y - 3. Let c(i) = -2*i**2 + 8*i - 4. Let z be (2/4)/(1/4). Let d be 3*(-2 + z/6). Let u(g) = d*c(g) + 4*p(g). Solve u(q) = 0.
2
Let x(y) be the first derivative of 0*y**2 + 2/7*y**4 + 0*y**3 + 3 + 0*y - 8/35*y**5 + 1/21*y**6. Let x(s) = 0. What is s?
0, 2
Let u(v) be the first derivative of 2*v**5/45 - v**4/9 + 2*v**3/27 - 3. What is t in u(t) = 0?
0, 1
Let m be (-9)/12*-2*2. Find w such that w**4 + 0*w - 2*w**m + 0*w**2 + 2*w - 3*w**4 + 2*w**2 = 0.
-1, 0, 1
Let j(t) be the second derivative of -1/36*t**4 + 1/120*t**5 - 4*t + 0 + 1/36*t**3 + 0*t**2. Factor j(d).
d*(d - 1)**2/6
Suppose 3*p + 5*i = 26, -2*p = 2*i + 4 - 16. Solve s**2 + 10*s**2 + 2*s**3 - s**2 - 6*s**2 + p*s = 0.
-1, 0
Suppose -f - 2*l = -11, 3*f - 4*f - 17 = -5*l. Solve 8/5*r**2 + 4/5*r + 0 - r**f = 0.
-2/5, 0, 2
Let q = 3 - 1. Solve -2*s**5 + 4*s**3 - 4*s + 2*s - q + 2 = 0 for s.
-1, 0, 1
Let l(v) be the second derivative of -v**7/105 + v**6/40 - v**4/24 + 3*v**2/2 - v. Let q(x) be the first derivative of l(x). Factor q(p).
-p*(p - 1)**2*(2*p + 1)
Let v = -544/161 + -8/161. Let i = -37/21 - v. Suppose -2/3*u**4 - i*u**3 + 0*u + 2/3*u**2 + 0 + 5/3*u**5 = 0. What is u?
-1, 0, 2/5, 1
Let d(m) be the third derivative of -2*m**2 + 1/80*m**5 + 1/2*m**3 + 0*m + 0 + 1/8*m**4. Suppose d(q) = 0. What is q?
-2
Factor 12/5*p**2 - 18/5*p**3 - 3/5*p - 3/5*p**5 + 12/5*p**4 + 0.
-3*p*(p - 1)**4/5
Let v(k) be the third derivative of -k**5/90 - k**4/9 - k**3/3 - 26*k**2. Factor v(r).
-2*(r + 1)*(r + 3)/3
Let r(v) = -3*v**2 + 3*v - 1. Let u(g) = -g**3. Let q(m) = 3*r(m) - 3*u(m). Solve q(y) = 0 for y.
1
Let q(i) be the first derivative of i**4/12 - i**3/3 + 4*i/3 - 6. Determine l, given that q(l) = 0.
-1, 2
What is y in 0 - 1/4*y**2 + 0*y = 0?
0
What is m in -30/7*m**2 + 16/7*m + 6/7 + 8/7*m**3 = 0?
-1/4, 1, 3
Let d = 4 + -1. Suppose 0 = d*t - 5*s - 11, 3 = -s - 2*s. Determine i, given that -i + 2 - 2*i - 3*i**t - 2*i**2 + 6*i**2 = 0.
1, 2
Factor -2*h**3 - 6 + 2*h - 2 + 8.
-2*h*(h - 1)*(h + 1)
Let h(t) be the third derivative of -1/80*t**5 - 4*t**2 + 0*t + 0 + 1/32*t**4 + 1/480*t**6 - 1/24*t**3. Factor h(i).
(i - 1)**3/4
Let a(d) be the second derivative of 0*d**4 - 3*d + 0*d**2 + 0*d**3 + 0 - 1/170*d**5. Find i such that a(i) = 0.
0
Let x(q) be the first derivative of -3/5*q**5 + 2 + 0*q - q**3 + 1/8*q**6 + 9/8*q**4 + 3/8*q**2. Factor x(s).
3*s*(s - 1)**4/4
Let g(i) be the second derivative of i**6/30 - i**4/4 + i**3/3 + i. Find t, given that g(t) = 0.
-2, 0, 1
Let l(q) = -6*q**5 + 4*q**4 - 2*q**3. Let u(h) = -7*h**5 + 4*h**4 - 2*h**3. Let c(n) = -5*l(n) + 4*u(n). Suppose c(b) = 0. What is b?
0, 1
Suppose -8*f - 15*f**2 + 19*f - 9*f = 0. What is f?
0, 2/15
Let q be (12/(-14))/(15/10*-1). Solve -q*g**2 + 0*g + 0 = 0.
0
Let i(x) be the third derivative of x**6/15 + x**5/5 - 2*x**3/3 - 15*x**2. Solve i(m) = 0.
-1, 1/2
Let n(m) be the second derivative of 1/3*m**4 + 0*m**2 + 1/20*m**5 + 6*m - 1/30*m**6 + 0 - 2/3*m**3. Find a such that n(a) = 0.
-2, 0, 1, 2
Let b(a) be the second derivative of a**7/210 + a**6/50 + a**5/50 - a**4/30 - a**3/10 - a**2/10 - 12*a. Let b(k) = 0. Calculate k.
-1, 1
Suppose 3*x**4 - 28 + 39 + 2*x**4 + 60*x + 9 + 65*x**2 + 30*x**3 = 0. What is x?
-2, -1
Suppose 0 = -6*h + 4*h. Factor h*u + 0 + 4/5*u**2 - 6/5*u**3.
-2*u**2*(3*u - 2)/5
Solve 1/3*z + 1/3*z**4 - 1/3*z**2 - 1/3*z**3 + 0 = 0.
-1, 0, 1
Let p(d) = -4*d + 13 - 2*d**3 - d**4 + 4*d**3 + 8*d**2 - 22. Let c be 10/(-4)*1*-2. Let x(b) = -b**2 + 1. Let k(f) = c*x(f) + p(f). Suppose k(a) = 0. What is a?
-1, 2
Let q(w) be the third derivative of w**8/21 + 8*w**7/35 + 13*w**6/30 + 2*w**5/5 + w**4/6 + 22*w**2. Factor q(s).
4*s*(s + 1)**2*(2*s + 1)**2
Suppose 2*v = -8*v. Let u(j) be the second derivative of v*j**2 + 0*j**5 + j + 1/30*j**6 - 1/12*j**4 + 0*j**3 + 0. Factor u(p).
p**2*(p - 1)*(p + 1)
Factor -5/3 - 2/3*u**2 - 11/3*u.
-(u + 5)*(2*u + 1)/3
Factor -1/3*v**2 + v + 0.
-v*(v - 3)/3
Let u(f) be the third derivative of f**5/72 - 5*f**4/72 - 2*f**2. Factor u(a).
5*a*(a - 2)/6
Let f(g) be the first derivative of -3*g**4/4 + 9*g**3 - 45*g**2/2 - 75*g - 10. Factor f(z).
-3*(z - 5)**2*(z + 1)
Let x(a) be the first derivative of 2*a**3/7 - 8*a**2/7 - 6*a/7 - 24. Suppose x(c) = 0. What is c?
-1/3, 3
Let q be 2*(-6)/(-180)*5. Factor 0 - 1/3*x + q*x**2.
x*(x - 1)/3
Let x(k) be the first derivative of 0*k - 1 + 4*k**3 - 9*k**2 - 1/2*k**4. Factor x(j).
-2*j*(j - 3)**2
Suppose 0 = -2*n + u + 9, 3*n = -2*n - 3*u + 17. Solve -4*m**2 + 3*m**3 + 2*m**3 - 4*m**n + m**3 + 2*m**3 = 0.
0, 1
Let j be -1 + ((-33)/(-7))/3. Let w be (-12)/18*6/(-14). Factor w - 6/7*p**2 - j*p.
-2*(p + 1)*(3*p - 1)/7
Let l(j) be the first derivative of -j**5/210 - j**4/84 + 2*j**3/21 - 3*j**2 - 7. Let b(m) be the second derivative of l(m). Let b(r) = 0. Calculate r.
-2, 1
Let o(w) be the second derivative of 2*w**7/21 + 4*w**6/15 - 2*w**5/5 - 4*w**4/3 + 2*w**3/3 + 4*w**2 + 8*w. Solve o(c) = 0.
-2, -1, 1
Let z(d) be the first derivative of 0*d**2 + 1/18*d**6 - 1/9*d**3 + 0*d - 3 + 1/15*d**5 - 1/12*d**4. Suppose z(x) = 0. Calculate x.
-1, 0, 1
Let a(i) be the first derivative of 0*i**2 - 8 - 1/7*i + 2/21*i**3 + 0*i**4 - 1/35*i**5. Factor a(f).
-(f - 1)**2*(f + 1)**2/7
Let t = -1 + 10. Let j = -7 + t. Solve 0*f**4 + 2*f**4 - 4*f**2 + 2*f**5 + f**4 - j*f**3 + 1 = 0 for f.
-1, 1/2, 1
Let v(u) be the third derivative of 0*u**4 + 0*u**3 + 1/315*u**7 - 1/180*u**6 + 0*u + 0 - 5*u**2 + 0*u**5. Solve v(w) = 0.
0, 1
Find s such that 168/5*s + 8/5*s**5 - 78/5*s**4 + 276/5*s**3 + 72/5 - 406/5*s**2 = 0.
-1/4, 2, 3
Let j(o) be the third derivative of 1/30*o**5 + 0 + 0*o**3 - 1/60*o**6 + o**2 + 1/12*o**4 - 1/105*o**7 + 0*o. Find p, given that j(p) = 0.
-1, 0, 1
Let u(m) = -m**2 + 5*m + 2. Let l be u(5). Factor -l*h**2 + 4*h - 4 + 0*h + 2*h.
-2*(h - 2)*(h - 1)
Factor 36*r**2 + 13 - 20 - 9 - 64*r.
4*(r - 2)*(9*r + 2)
Let t(p) = -3*p + 9. Let u(w) = -4*w + 13. Let v(i) = 7*t(i) - 5*u(i). Let s be v(-4). Find d, given that d + s*d - 8*d**3 - 6*d**2 + 0*d - d = 0.
-1, 0, 1/4
Factor 3/4*n**4 - 3/4*n**2 + 3/4*n**3 + 0 - 3/4*n.
3*n*(n - 1)*(n + 1)**2/4
Suppose -4*z = -5*h - 53, -5*h - 11 = 5*z - 3*z. Let x be 2/8 + z/4. Factor -4 - q**5 - 9*q**2 - 19*q**3 - q**4 - 16*q**x - 6*q**4 - 16*q.
-(q + 1)**3*(q + 2)**2
Let v(k) be the third derivative of -k**7/420 - k**6/160 - k**5/240 + 11*k**2. Solve v(r) = 0.
-1, -1/2, 0
Let g(f) = 0*f - 4*f - 2*f**3 - 2*f**3 - 4*f**2 + 2. Let b(q) = q**4 - 3*q**3 - 3*q**2 - 5*q + 3. Let c(r) = -2*b(r) + 3*g(r). Let c(n) = 0. Calculate n.
-1, 0
Suppose 4 = 311*u - 310*u. Let g(d) be the second derivative of 0*d**2 + 0*d**3 - 1/14*d**7 + 0 + 3*d - 9/20*d**5 - 1/4*d**u - 3/10*d**6. Factor g(z).
-3*z**2*(z + 1)**3
Let p = -4 + 5. Let j be ((-12)/(-30))/(p/5). Factor -2/3*r**j + 0*r - 4/3*r**3 + 0 - 2/3*r**4.
-2*r**2*(r + 1)**2/3
Let u = -4 + 7. Suppose -3*w**4 + 2*w**3 - 4*w**u + w**4 = 0. What is w?
-1, 0
Let g be (4 - 2)*1 - 0. Factor -1/2 - 1/2*s**3 - 3/2*s**g - 3/2*s.
-(s + 1)**3/2
Suppose t - 4*t + 6 = 0. Factor -2*c**3 - t*c**3 + 6*c**3 + c**4.
c**3*(c + 2)
Factor