
-o*(o - 1)**2*(o + 1)/5
Let v = -2 - -4. Let h**v - h + h - 2*h**2 = 0. What is h?
0
Let v(t) be the third derivative of 13*t**7/105 + 9*t**6/10 + 2*t**5 + 2*t**4/3 - 23*t**2. Determine j, given that v(j) = 0.
-2, -2/13, 0
Let v be (-4)/1 + (-320)/(-10). Suppose -5*r - 7*q = -3*q, 2*r - 4*q = v. Determine h so that 7/4*h**2 - 1/2*h + 1/2*h**3 - 7/4*h**r + 0 = 0.
-1, 0, 2/7, 1
Find u such that -2/7*u**2 + 0 - 6/7*u = 0.
-3, 0
Let z(p) be the second derivative of p**6/60 + p**5/40 - p. Factor z(y).
y**3*(y + 1)/2
Let t = -12 - -6. Let v be t/15 + 24/35. Suppose -2/7*w**3 + v*w + 2/7 - 2/7*w**2 = 0. What is w?
-1, 1
Let o = -11 + 5. Let a(y) = -y**2 - 5*y + 8. Let v be a(o). Factor 2 - 2*n + 3*n - 2*n**v - 4*n - n**3 + 4*n.
-(n - 1)*(n + 1)*(n + 2)
Factor 5/2*n**3 - 5/2*n + 2 - 2*n**2.
(n - 1)*(n + 1)*(5*n - 4)/2
Let u = 267 - 847/3. Let v = u + 18. Find j such that -4*j**2 - 2/3*j**4 + 8/3*j**3 + v*j - 2/3 = 0.
1
Let v = 178/765 - -18/85. Factor 2/9*c**3 + 0 + 2/9*c**2 - v*c.
2*c*(c - 1)*(c + 2)/9
Let c(l) = 2*l**5 - 3*l**4 - 6*l**3 - 4*l**2. Let q(k) = -8*k**5 + 11*k**4 + 24*k**3 + 16*k**2. Let m(s) = 22*c(s) + 6*q(s). Factor m(j).
-4*j**2*(j - 2)*(j + 1)**2
Let m = 35 - 31. Let o(s) be the second derivative of 0 - 2*s - 1/12*s**3 - 1/6*s**m + 0*s**2. Let o(u) = 0. What is u?
-1/4, 0
Let c(f) = -3*f**4 - 6*f**3 - 51*f**2 - 102*f - 36. Let l(b) = b**3 + b**2 - b. Let t(a) = -c(a) + 18*l(a). Factor t(h).
3*(h + 1)*(h + 2)**2*(h + 3)
Let d(o) = -4*o**3 - 2*o**4 - 3*o**4 - o**5 + 2*o**2 - 6*o - 8*o**2. Let k(j) = j**5 - j**3 - j**2 - j. Let i(u) = d(u) - 6*k(u). Factor i(s).
-s**3*(s + 1)*(7*s - 2)
Let g(a) be the first derivative of 2*a**6/27 - 2*a**4/9 + 2*a**2/9 + 2. Factor g(x).
4*x*(x - 1)**2*(x + 1)**2/9
Let t be -2 - 3/(-3) - (-1 + 0). Factor 0*p + t*p**2 - 2/3*p**4 + 0 - 2/3*p**3.
-2*p**3*(p + 1)/3
Let r(s) be the first derivative of -2/9*s**3 + 0*s**4 + 0*s**2 + 2/15*s**5 + 3 + 0*s. Factor r(a).
2*a**2*(a - 1)*(a + 1)/3
Let k(j) be the first derivative of -j**4/2 + 7*j**2 + 12*j + 31. Factor k(i).
-2*(i - 3)*(i + 1)*(i + 2)
Let o be 0 - (-10)/12*18954/260. What is u in 27*u + o*u**2 + 3 = 0?
-2/9
Let a(t) = t**4 + 2*t**3 - 2*t**2 - 2*t - 2. Let k(r) = 9*r**3 + 8 - 17 - 4*r**4 - 9*r + 7*r**4 - 9*r**2. Let n(g) = 9*a(g) - 2*k(g). Factor n(c).
3*c**4
Let f(s) = 4*s - 22. Let q be f(12). Let v = q + -22. Factor -5/3*t**5 + 0*t + 0 + v*t**4 + 2/3*t**2 - 3*t**3.
-t**2*(t - 1)**2*(5*t - 2)/3
Let p(m) be the second derivative of 5*m**4/12 - 5*m**3/3 + 10*m. Let p(h) = 0. Calculate h.
0, 2
Let m(i) be the second derivative of i**7/2 + 13*i**6/5 + 81*i**5/20 + i**4 - 2*i**3 + 8*i. Suppose m(r) = 0. What is r?
-2, -1, 0, 2/7
Let w(c) = -2*c**4 + 10*c**3 + 4*c**2 + 6. Let z(n) = -5*n**2 - 2*n**4 + 11*n**3 + 5 + 2 + 10*n**2. Let o(p) = -7*w(p) + 6*z(p). Factor o(x).
2*x**2*(x - 1)**2
Let n(u) be the second derivative of u**4/2 - 3*u**3/2 - 3*u**2 - 6*u. What is h in n(h) = 0?
-1/2, 2
Let p(s) be the third derivative of -s**7/105 + s**5/15 - s**3/3 - 41*s**2. Determine g, given that p(g) = 0.
-1, 1
Let m be (-10)/(-3) - 2/6. Factor -w**2 + w**3 + 3*w - w - m*w + w**4.
w*(w - 1)*(w + 1)**2
What is d in 100/7 + 40/7*d + 4/7*d**2 = 0?
-5
Let v = 287 - 2575/9. Factor 8/9 - v*q + 2/9*q**2.
2*(q - 2)**2/9
Factor 2*z**2 - 5 + 5 - 6*z.
2*z*(z - 3)
Let i(r) be the first derivative of r**3 - 6*r**2 + 11. Factor i(j).
3*j*(j - 4)
Let d(j) = 4*j**4 - j**3 - 17*j**2 - 9*j + 13. Let b(c) = -4*c**4 + 2*c**3 + 18*c**2 + 10*c - 14. Let z(v) = -5*b(v) - 6*d(v). Factor z(p).
-4*(p - 1)**2*(p + 1)*(p + 2)
Let l(h) be the first derivative of -10*h**3/3 + 17*h**2 - 12*h + 1. Factor l(o).
-2*(o - 3)*(5*o - 2)
Let c(f) be the second derivative of f**4/3 - 8*f**3/3 + 25*f. What is a in c(a) = 0?
0, 4
Let h(p) be the third derivative of p**8/1680 - p**7/420 + p**6/360 - p**4/12 - 4*p**2. Let i(k) be the second derivative of h(k). Factor i(u).
2*u*(u - 1)*(2*u - 1)
Let x(t) be the third derivative of t**7/3360 - t**5/480 + t**3/2 + 5*t**2. Let j(d) be the first derivative of x(d). Determine v, given that j(v) = 0.
-1, 0, 1
Let d(w) = -w**3 + 5*w**2 + 7*w - 2. Suppose 4*r - 5*m - 9 = 0, -5*r = -4*r - 2*m. Let t be d(r). Factor 0 - 1/5*q**2 + 1/5*q**t + 0*q + 0*q**3.
q**2*(q - 1)*(q + 1)/5
Let u(g) be the third derivative of -1/135*g**5 + 0 + 0*g - 1/540*g**6 + 1/27*g**4 - g**2 + 8/27*g**3. Let u(m) = 0. Calculate m.
-2, 2
Let m(d) be the first derivative of d**5/40 + d**4/16 - d**2/8 - d/8 + 13. Factor m(i).
(i - 1)*(i + 1)**3/8
Factor -2*r**3 + r**3 - 2*r**2 - 2*r**4 + 5*r**3.
-2*r**2*(r - 1)**2
Solve 1/2 + 1/4*a - 1/4*a**2 = 0.
-1, 2
Suppose 0 = -5*l + 3*f - 26, 2*l - f - 2 = -6*f. Let t be (-2 - 1)*l/9. Find z, given that -2/3*z**2 + 2*z - t = 0.
1, 2
Let s be 4/32*-4*-1. Suppose s*g**3 + g**2 + 0*g + 0 = 0. What is g?
-2, 0
Let f(q) be the first derivative of q**6/8 - 3*q**5/10 - 9*q**4/8 + 5*q**3 - 57*q**2/8 + 9*q/2 - 20. Factor f(x).
3*(x - 2)*(x - 1)**3*(x + 3)/4
Suppose -4*f - 5*g - 1 - 19 = 0, 20 = -5*g. Suppose -2*h + 4*h = f. Factor 0 + 2/5*t**2 + h*t.
2*t**2/5
Let k(o) be the first derivative of o**6/70 - 3*o**5/140 - o**4/14 - 5*o + 6. Let p(l) be the first derivative of k(l). Factor p(j).
3*j**2*(j - 2)*(j + 1)/7
Suppose 2/5*y**3 - 2/5*y**2 + 8/5 - 8/5*y = 0. Calculate y.
-2, 1, 2
Let d(a) be the third derivative of 1/45*a**5 + 2*a**2 + 0*a**3 + 0 + 1/180*a**6 + 0*a + 1/36*a**4. Determine s, given that d(s) = 0.
-1, 0
Let a be (-3)/(1242/(-699)) - 1. Let z = a + -1/46. Suppose -z*d - 2/3*d**2 + 4/3 = 0. What is d?
-2, 1
Let u(o) be the first derivative of -2/3*o**3 + 1/9*o**4 + 0*o - 4/27*o**6 - 3 + 2/9*o**2 + 2/5*o**5. Solve u(v) = 0.
-1, 0, 1/4, 1, 2
Let m(c) = 7*c**2 - c - 3. Let o be m(-2). Let a = -27 + o. Factor 2/7*l**4 + 8/7*l**3 + 10/7*l**2 + a + 4/7*l.
2*l*(l + 1)**2*(l + 2)/7
Suppose -24*c = -9*c. Factor u**4 - 1/3*u**5 + 0 + 1/3*u**2 - u**3 + c*u.
-u**2*(u - 1)**3/3
Let r(q) be the first derivative of 4*q**4 - 8*q**3/3 - 7*q**2/2 - q + 15. Factor r(p).
(p - 1)*(4*p + 1)**2
Let i(z) = -z**2 - z - 1. Let s(l) = -l**4 + 4*l**3 + l**2 + 5*l + 5. Let g(y) = -5*i(y) - s(y). Find k, given that g(k) = 0.
0, 2
Suppose i + 24 = 3*i - 4*n, -1 = 2*i + n. Let v be i*2*25/20. Determine f so that 3*f**3 - f**v - f - f**3 + 1 + 0*f**2 + f**4 - 2*f**2 = 0.
-1, 1
Let u be (-3 - -3) + 3 + 0. Let w be u/36*-2*-4. Factor w*y**5 - 4/3*y**3 - 2/3 - 2/3*y**4 + 4/3*y**2 + 2/3*y.
2*(y - 1)**3*(y + 1)**2/3
Let k(g) be the second derivative of -7*g**4/12 + g**3/6 - g**2 - 8*g. Let l(j) = 8*j**2 + 3. Let b(q) = -5*k(q) - 4*l(q). Factor b(u).
(u - 2)*(3*u + 1)
Let c = 7 + -5. Find t, given that -6*t - t + 5*t**c - 5*t + 4 + 4*t**2 = 0.
2/3
What is d in 4/7*d**2 + 0 + 4/7*d = 0?
-1, 0
Suppose 0 = 3*l + 2 + 1. Let o be (l/4)/(2/(-24)). Determine u so that 6*u**3 + 0*u**3 + o*u + 0*u**3 + 9*u**2 + 0*u**2 = 0.
-1, -1/2, 0
Let w(y) be the third derivative of -y**8/2016 - y**7/252 - y**6/90 - y**5/90 - 22*y**2. Factor w(o).
-o**2*(o + 1)*(o + 2)**2/6
Let -2/5*q**2 - 2/5*q + 2/5*q**3 + 2/5 = 0. What is q?
-1, 1
Let a be (-4)/(-8)*-5*(0 + -2). Let r(q) be the second derivative of 3/10*q**a + 0*q**2 - 1/6*q**6 + 1/28*q**7 + 0 - 1/4*q**4 + 1/12*q**3 + 2*q. Factor r(l).
l*(l - 1)**3*(3*l - 1)/2
Suppose 8*u - 3*u - 150 = -5*c, 0 = -5*c. Let h be 2/(-6) - (-25)/u. Factor 0 - h*l - 1/2*l**3 + l**2.
-l*(l - 1)**2/2
Suppose -11*y + 9*y = 0. Let a(n) be the third derivative of y*n + 0*n**3 + 0 - 1/48*n**4 - 1/40*n**5 - 2*n**2 + 1/60*n**6. Find k, given that a(k) = 0.
-1/4, 0, 1
Let s(i) = 5*i + 9. Let z be s(-7). Let j = -21 - z. Let 2/3*l**4 - 4/3*l**2 - 4/3*l**3 + 2/3 + 2/3*l**j + 2/3*l = 0. What is l?
-1, 1
Suppose 0 = -7*b + 3*b + 20. Suppose 7 = b*l - 8. Solve 8*m - m**2 - l + 2 - 10*m = 0 for m.
-1
Let q(p) be the third derivative of -2*p**2 + 0*p + 2/3*p**3 + 7/20*p**5 + 0 - 5/42*p**7 - 1/6*p**6 + 5/6*p**4. Suppose q(i) = 0. Calculate i.
-1, -2/5, 1
Let u(q) = 2*q**4 + 4*q**3 - 3*q**2 - 7*q + 1. Let o(t) = 3*t**4 + 7*t**3 - 6*t**2 - 14*t + 3. Let r(f) = 3*o(f) - 7*u(f). Factor r(h).
-(h - 1)*(h + 1)**2*(5*h + 2)
Factor 625/3 - 125/3*b - 130/3*b**3 - 350/3*b**2 - 1/3*b**5 - 19/3*b**4.
-(b - 1)*(b + 5)**4/3
Let l(s) = -3*s**3 - s**2 + 3*s - 1. Let v(t) = -t**3 + t - 1. Let x be ((-4)/3)/(16