0*i - 1/12*i**4 + 4/105*i**7 + 0*i**3. Factor g(h).
-2*h*(h - 1)**4
Let p(t) be the first derivative of t**4/22 + 6*t**3/11 + 27*t**2/11 + 54*t/11 + 10. Factor p(h).
2*(h + 3)**3/11
Factor 2*k**4 + 10*k**3 + 4*k**3 - 5*k**4 - 6*k**2 - 5*k**3.
-3*k**2*(k - 2)*(k - 1)
Let s(n) be the third derivative of n**5/20 - n**3/2 - 37*n**2 - 2*n. Factor s(t).
3*(t - 1)*(t + 1)
Let m(h) be the third derivative of -h**5/10 - 3*h**4/8 + h**3 + 30*h**2. Factor m(o).
-3*(o + 2)*(2*o - 1)
Let b(d) be the second derivative of 0 + 1/35*d**5 - 1/7*d**3 - 1/21*d**4 + 1/147*d**7 + 1/35*d**6 - 1/7*d**2 + 2*d. Factor b(x).
2*(x - 1)*(x + 1)**4/7
Factor -24/11*g**3 + 6/11*g**4 + 54/11 - 12/11*g**2 + 72/11*g.
6*(g - 3)**2*(g + 1)**2/11
Let m(w) be the third derivative of w**10/90720 - w**8/10080 + w**6/2160 - w**4/8 + 4*w**2. Let j(p) be the second derivative of m(p). Factor j(g).
g*(g - 1)**2*(g + 1)**2/3
Let p = 29 + -22. Let o be 55/3 + (-1)/3. Determine r so that -24*r**2 - o*r**5 - 8*r - 60*r**4 + p*r**3 - 16*r**2 - 81*r**3 = 0.
-1, -2/3, 0
Suppose -15/8*h**3 + 3 + 33/4*h**2 - 21/2*h = 0. Calculate h.
2/5, 2
Let o = 4 + -4. Suppose 4*h - 16 = -o*h. Factor -3*s**2 + h*s - 4/3.
-(3*s - 2)**2/3
Let i be 1/(-5) - 30/(-50). Suppose -2/5*g**3 + i*g - 2/5*g**2 + 2/5 = 0. What is g?
-1, 1
Suppose 0 = -5*v + v - 224. Let h be v/(-48) - (-2)/(-3). Determine t, given that -1/2*t + 1/4 - 1/4*t**4 + h*t**3 + 0*t**2 = 0.
-1, 1
Let r be 817/126 + 6/12. Let q = r + -8/63. Find l such that -90/7*l**4 + 8/7 - q*l + 82/7*l**2 - 2/7*l**3 + 50/7*l**5 = 0.
-1, 2/5, 1
Let r(v) be the second derivative of 1/6*v**4 - 1/6*v**3 + 0*v**2 - 7*v - 1/20*v**5 + 0. Factor r(b).
-b*(b - 1)**2
Let p(c) be the first derivative of 2*c**3/27 - c**2/3 + 4*c/9 - 3. Factor p(o).
2*(o - 2)*(o - 1)/9
Let d(p) = -p**2 - p - 1. Let g(q) = 20*q**2 - 8*q + 8. Let x(c) = -8*d(c) - g(c). Factor x(u).
-4*u*(3*u - 4)
Let o(l) = -l**2 - 7*l - 3. Let p be o(-6). Let -29*t - 29*t**2 - 39*t**p - 12*t**4 + 3 + 8*t - 16*t**2 - 6 = 0. Calculate t.
-1, -1/4
Suppose 2*k**2 - 23/2*k - 3 = 0. Calculate k.
-1/4, 6
Let q = 41 - 39. Let d(t) be the first derivative of 0*t - 1/7*t**q + 3 + 2/21*t**3. Let d(b) = 0. Calculate b.
0, 1
Let l(t) be the first derivative of -2/3*t**2 + 0*t + 2 + 2/9*t**3. Suppose l(o) = 0. What is o?
0, 2
Let t(w) = w**2 + 3*w - 7. Let n be t(-5). Let s(p) be the first derivative of n + 2*p - 1/2*p**4 + 5/2*p**2 + 1/3*p**3. Find r, given that s(r) = 0.
-1, -1/2, 2
Let n(c) = -25*c**5 + 25*c**4 + 25*c**3 - 25*c**2 - 20*c. Let g(r) = r**5 - r**4 - r**3 + r**2 + r. Let k(w) = -20*g(w) - n(w). Factor k(z).
5*z**2*(z - 1)**2*(z + 1)
Let w(i) be the third derivative of -i**8/1008 - i**7/90 - 19*i**6/360 - 5*i**5/36 - 2*i**4/9 - 2*i**3/9 - 9*i**2. Factor w(j).
-(j + 1)**3*(j + 2)**2/3
Solve -16*x**4 - 55*x**5 + 9*x**4 + 50*x**5 - 13*x**4 = 0.
-4, 0
Determine k, given that -1/3*k**2 + 0 - 1/3*k**3 + 0*k = 0.
-1, 0
Factor -4/5*p**4 - 1/5*p - 6/5*p**3 + 0 - 4/5*p**2 - 1/5*p**5.
-p*(p + 1)**4/5
Let k(p) = -3 - 4*p - 1 - p. Let q be k(-3). Solve q + l**3 - 3 - 3*l**3 - 6*l**2 = 0.
-2, 1
Let o = 2362/44339 - 6/439. Let m = o + 166/909. Factor -4/9*z**3 + 0 + 0*z**2 + 0*z**4 + m*z**5 + 2/9*z.
2*z*(z - 1)**2*(z + 1)**2/9
Let y(s) be the second derivative of -4*s + 44/9*s**3 - 143/30*s**5 + 0 + 28/45*s**6 + 7/9*s**4 + 8/3*s**2 + 7/9*s**7. Suppose y(g) = 0. What is g?
-2, -2/7, 1
Let j = -42/17 + 160/51. Factor j*r**2 - 4/3*r + 2/3.
2*(r - 1)**2/3
Find i such that 6/17*i**2 - 4/17*i - 2/17*i**3 + 0 = 0.
0, 1, 2
Suppose -9*g + 8 + 19 = 0. Determine w, given that 6/5*w + 0 + g*w**4 + 3/5*w**2 - 24/5*w**3 = 0.
-2/5, 0, 1
Let i(q) = q + 21. Let b be i(-19). Factor -1/2 - 3/4*f - 1/4*f**b.
-(f + 1)*(f + 2)/4
Let b(q) = q**2 - 4*q. Let s(k) = -2*k**2 + 7*k. Suppose 0 = -2*d + 4 - 16. Let x(j) = d*s(j) - 11*b(j). Factor x(n).
n*(n + 2)
Factor -42*i - 69*i + 12*i**2 + 19*i + 56 + 0.
4*(i - 7)*(3*i - 2)
Let d(k) be the second derivative of -7*k**4/108 - 23*k**3/54 - k**2/3 + 5*k. Factor d(x).
-(x + 3)*(7*x + 2)/9
Let d(q) = -4*q**3 - 2*q**2 - 2*q - 2. Let y be d(-1). Factor 0 + 1/2*x**4 + 7/6*x**3 + 0*x + 1/3*x**y.
x**2*(x + 2)*(3*x + 1)/6
Factor 4/5*o - 38/5*o**2 + 0 + 34/5*o**3.
2*o*(o - 1)*(17*o - 2)/5
Find t such that 0*t + 2/3*t**4 + 2/3*t**2 + 0 - 4/3*t**3 = 0.
0, 1
Let f be (-55)/50*8*1. Let b = -386/45 - f. Solve 4/9*x**3 - 2/9*x**2 + 0*x - b*x**4 + 0 = 0.
0, 1
Let w(u) = -u**3 + 7*u**2 + 5*u + 3. Let s(j) = -j**3 + j**2 + j + 1. Let v(o) = 6*s(o) - 2*w(o). Let v(y) = 0. Calculate y.
-1, 0
Let k(p) = 5*p**2 - 4*p + 11. Let l(h) = -10*h**2 + 7*h - 23. Let w(j) = 13*k(j) + 6*l(j). Factor w(x).
5*(x - 1)**2
Let p(u) = 3*u**3 + 4*u**2 + 5 + 0*u**2 - 7*u**2 + 7*u**3. Let j(c) = 21*c**3 - 7*c**2 + c + 11. Let x(z) = -4*j(z) + 9*p(z). Factor x(r).
(r + 1)*(2*r - 1)*(3*r - 1)
Determine g so that -8*g**2 + 16*g**5 + 258*g**4 + 82*g**5 + 28*g**5 - 16*g + 140*g**3 = 0.
-1, -2/3, 0, 2/7
Let w = -53/5 - -11. Determine k, given that -2/5*k + w*k**2 + 0 = 0.
0, 1
Suppose 0 + 2/5*k**3 + 0*k + 2/5*k**2 = 0. Calculate k.
-1, 0
Let f(s) be the first derivative of s**6/12 + 7*s**5/10 + 15*s**4/8 + 13*s**3/6 + s**2 + 31. Solve f(v) = 0.
-4, -1, 0
Let p be 14/35 + 8/5. Let o(s) be the first derivative of 0*s - 1/3*s**2 + p + 2/3*s**3. Let o(a) = 0. Calculate a.
0, 1/3
Let j(s) be the first derivative of -5*s**5 + 15*s**4/4 + 10*s**3/3 - 9. Factor j(b).
-5*b**2*(b - 1)*(5*b + 2)
Let c(l) be the second derivative of 7*l**7/6 + 1001*l**6/75 + 211*l**5/5 + 94*l**4/15 - 64*l**3/3 - 64*l**2/5 - 17*l. Let c(t) = 0. Calculate t.
-4, -2/7, 2/5
Suppose 83 = -4*k + 23. Let b be 5*(k/20 + 1). Find t such that 1/2 + 3/4*t - b*t**2 = 0.
-2/5, 1
Let a(h) = -6*h**4 + 6*h**3 + 12*h**2 - 24*h + 15. Let s(z) = -z**4 + z**2 + 1. Let p(l) = a(l) - 3*s(l). Let p(o) = 0. What is o?
-2, 1, 2
Let l(y) be the second derivative of -3*y**5/50 + 2*y**4/15 + y**3/15 - 2*y**2/5 - 7*y. Solve l(k) = 0 for k.
-2/3, 1
Let r(m) = 8*m - 8*m**3 + 4 - 3*m + m - 2*m**2. Let t(l) = 24*l**3 + 6*l**2 - 17*l - 13. Let a(f) = -7*r(f) - 2*t(f). Factor a(z).
2*(z - 1)*(z + 1)*(4*z + 1)
Let p(h) be the second derivative of h**8/840 + h**7/210 + h**3/2 - 3*h. Let b(r) be the second derivative of p(r). Factor b(g).
2*g**3*(g + 2)
Let j be 2 + -1 + 12/3. Suppose -3*d**4 + 5*d - j*d = 0. What is d?
0
Suppose -5*g + 0*g - 5 = 0. Let w be (-21)/12 + (-2)/g. Factor 1/4*u**5 - 1/4*u**3 + 0 - 1/4*u**4 + w*u**2 + 0*u.
u**2*(u - 1)**2*(u + 1)/4
Suppose -5*n - 5*i + 35 - 5 = 0, 0 = 3*n + 4*i - 23. Suppose y - 3 + n = 0. Suppose 0*g**4 + 0*g**2 - g**y + g**4 = 0. Calculate g.
-1, 0, 1
Let c(h) be the first derivative of -h**5/15 - h**4/3 - 2*h**3/3 - h**2/2 - 11. Let n(k) be the second derivative of c(k). Factor n(r).
-4*(r + 1)**2
Let l(r) = -2*r**4 - 6*r**3 + 5*r**2 + 12*r - 15. Let f(h) = 5*h**4 + 11*h**3 - 10*h**2 - 24*h + 31. Let d(y) = -6*f(y) - 13*l(y). What is u in d(u) = 0?
-1, 1, 3/2
Solve 0*d + 0*d**3 + 0*d**2 - 2/7*d**4 + 0 = 0 for d.
0
Suppose 0 = 6*x - x - 10. Let -5*u**2 + 4*u**2 + 0*u + 4*u - x*u = 0. What is u?
0, 2
Let u(j) be the third derivative of j**5/15 - j**4/3 - 2*j**3 - 9*j**2. Factor u(z).
4*(z - 3)*(z + 1)
Suppose 0 = 5*h - 3*l - 3, -2*l - 5 = 5*h + 3*l. Let r**2 + h*r - 1/2*r**3 + 0 = 0. What is r?
0, 2
Let v(d) = d - 1. Let m(y) = -3*y. Let f be m(-1). Let q be v(f). Find s such that -4*s**4 + 2*s**4 - q*s**3 + s + 2*s**2 + s = 0.
-1, 0, 1
Let r(s) be the third derivative of -s**5/12 + 5*s**4/12 + 5*s**2. Factor r(t).
-5*t*(t - 2)
Let j(k) = -k**2 + 5*k + 2. Let l be j(5). Let q be ((-3)/(-36))/(l/8). Factor 5/3*g**2 - g**3 - q*g - 1/3.
-(g - 1)**2*(3*g + 1)/3
Let m = 31 - 31. Suppose 1/4*h**2 - 1/4 + m*h = 0. Calculate h.
-1, 1
Suppose -16 = q - 0*q + 2*d, 10 = 5*d. Let p be (-15)/q - 1/4. Suppose 1/2 + p*i**2 + i = 0. What is i?
-1
Let y(l) be the first derivative of -4*l + l**2 - 8/5*l**5 - 3 + 4*l**3 + l**6 - 2*l**4. Let y(x) = 0. What is x?
-1, -2/3, 1
Let c(x) be the third derivative of -1/12*x**4 + 1/30*x**5 - 2/3*x**3 + 0 - x**2 + 0*x. Factor c(i).
2*(i - 2)*(i + 1)
Let j = -291 - -874/3. Factor 1/3*t**3 + 0*t**4 + 0*t**2 + 0*t - j*t**5 + 0.
-t**3*(t - 1)*(t + 1)/3
Let o = 9 - 4. Suppose -4*x + 7 = -o. What is f in 4/9*f**x + 2/9*f - 2/3*f**2 + 0 = 0?
0, 1/2, 