) = -7*h**3 - 9*h**2 + 25*h. Let p(c) = -2*c**3 - 2*c**2 + 6*c. Let q(d) = -2*n(d) + 9*p(d). Factor q(r).
-4*r*(r - 1)*(r + 1)
Suppose -3*z + 9 + 0 = 0. Let l(a) be the third derivative of 0 - 3*a**2 - 1/60*a**4 + 0*a**z + 1/840*a**8 + 1/75*a**5 - 2/525*a**7 + 0*a**6 + 0*a. Factor l(x).
2*x*(x - 1)**3*(x + 1)/5
Let b(d) be the second derivative of -1/12*d**3 + 1/8*d**2 + 0 - 1/16*d**4 - 2*d. Factor b(o).
-(o + 1)*(3*o - 1)/4
Let x(h) be the first derivative of 0*h**2 - 1/4*h**4 - 1/3*h**3 + 1/5*h**5 + 0*h + 5 + 1/6*h**6. Factor x(l).
l**2*(l - 1)*(l + 1)**2
Let r = 34 - 16. Let b be 26/r + 5/(-45). Suppose 0 - b*d + 10/3*d**2 = 0. What is d?
0, 2/5
Let g(f) be the third derivative of -f**10/10080 + f**9/5040 + f**8/2240 - f**7/840 + f**4/24 - 2*f**2. Let c(v) be the second derivative of g(v). Factor c(b).
-3*b**2*(b - 1)**2*(b + 1)
Let x be (-48)/272*(-7)/3. Let l = 3/34 + x. Factor -l*i - 1/2*i**3 - i**2 + 0.
-i*(i + 1)**2/2
Suppose -4*s - 33 = -2*w + 3*w, -4*w - 44 = 5*s. Let n = 17/2 + s. Factor 0*d + 1/2*d**3 - n*d**2 + 0.
d**2*(d - 1)/2
Let 35*s**3 - 2*s**4 - 35*s**3 + 2*s**2 = 0. What is s?
-1, 0, 1
Suppose -2*p - 23 = r, -1 + 3 = 2*p - 4*r. Let i(a) = -a - 7. Let x be i(p). Factor 2/11*s**x + 2/11 + 4/11*s.
2*(s + 1)**2/11
Suppose -2*b = -5*d - 2 - 11, 5 = -5*d. Let -3*f**4 - 9*f**2 + b*f**3 + f**3 + 4*f**3 + 3*f = 0. What is f?
0, 1
Suppose 0 = -5*h + h - h. Factor -2/3*w**4 + 2/3*w + h - 2*w**2 + 2*w**3.
-2*w*(w - 1)**3/3
Let q(g) be the first derivative of -2/3*g**2 + 5/12*g**4 - 1/15*g**5 - 3 - 2/3*g**3 + 8/3*g. Factor q(x).
-(x - 2)**3*(x + 1)/3
Let n(l) = -39*l**4 - 49*l**3 + 25*l**2 + 45*l + 10. Let w(o) = 77*o**4 + 97*o**3 - 50*o**2 - 90*o - 20. Let x(y) = 7*n(y) + 4*w(y). Solve x(q) = 0 for q.
-1, -2/7, 1
Let v(t) be the second derivative of 0*t**2 - 1/18*t**4 + 0 - 1/1080*t**6 + 1/90*t**5 - 2*t + 1/6*t**3. Let u(i) be the second derivative of v(i). Factor u(s).
-(s - 2)**2/3
Let x(c) be the third derivative of c**5/60 + c**4 + 24*c**3 + 9*c**2. Factor x(b).
(b + 12)**2
Suppose 0 = -5*v + 8*v. Suppose 3*z = 5*z. Solve 4/7*o**4 + v*o + 2/7*o**5 + 0 + z*o**2 + 2/7*o**3 = 0.
-1, 0
Determine u so that 4/7*u**2 - 2/7*u**5 - 2/7*u**4 + 4/7*u**3 - 2/7*u - 2/7 = 0.
-1, 1
Let d(s) be the second derivative of -2*s + 0*s**3 + 0*s**2 + 1/12*s**4 - 1/20*s**5 + 0. Let d(w) = 0. What is w?
0, 1
Find s, given that 81/7*s + 1/7*s**3 + 18/7*s**2 + 0 = 0.
-9, 0
Let n(a) be the second derivative of -a**7/280 - a**6/120 - 5*a**3/6 + 6*a. Let l(t) be the second derivative of n(t). Factor l(z).
-3*z**2*(z + 1)
Suppose 39 = 5*h + 29. Let w(d) be the first derivative of 1/8*d**h + 0*d + 1/16*d**4 - 1 - 1/6*d**3. Factor w(m).
m*(m - 1)**2/4
Suppose 2*u - 2*w - 12 = 0, -u - 2*w - 18 = -6*u. Find p, given that 27*p**3 - 9*p**3 + u*p**2 + 13*p**5 - 3*p**5 - 6*p**2 - 24*p**4 = 0.
0, 2/5, 1
Let d be (6/10)/(2/(-10)). Let p be -1 + (d - 60/(-14)). Factor -p - 2/7*l**2 + 4/7*l.
-2*(l - 1)**2/7
Let c(g) be the second derivative of -g**4/9 - g**3/9 + g**2/3 - 7*g. What is d in c(d) = 0?
-1, 1/2
Let n be (-3)/(-2)*(-5)/(-15)*2. Factor -4*u + 15/4*u**2 + n.
(3*u - 2)*(5*u - 2)/4
Let s be (-12 + -4)/4 + 8. Let a = 50 + -148/3. Factor a*c**5 + 2/3*c + 4/3*c**2 - 2/3 - 4/3*c**3 - 2/3*c**s.
2*(c - 1)**3*(c + 1)**2/3
Let o(x) be the third derivative of -x**7/105 - x**6/20 - x**5/15 - 2*x**2. Factor o(r).
-2*r**2*(r + 1)*(r + 2)
Let x(k) be the first derivative of -3*k**5/5 + 3*k**4/4 + 6*k**3 - 70. Solve x(r) = 0 for r.
-2, 0, 3
Let c be 2 + (-2 - 52/(-14)). Let h = c - 123/35. Suppose h + 1/5*x**2 - 2/5*x = 0. What is x?
1
Suppose -3*y + 30 = 2*c + 10, -2*y = 3*c - 20. Determine m so that -16*m + 25*m**2 + 1 - c*m**3 - 41*m**2 - 1 = 0.
-2, 0
Suppose -6*z = -3*z - 3*g, 2*g = -2*z + 12. What is k in 2/3*k + 0 + 1/3*k**4 - 1/3*k**2 - 2/3*k**z = 0?
-1, 0, 1, 2
Let q(g) be the first derivative of -g**7/1890 - g**6/540 + g**4/108 - g**3 - 3. Let a(r) be the third derivative of q(r). Factor a(v).
-2*(v + 1)**2*(2*v - 1)/9
Let q(x) be the third derivative of -x**10/18900 - x**9/10080 + x**8/10080 - x**5/20 + x**2. Let y(d) be the third derivative of q(d). Factor y(h).
-2*h**2*(h + 1)*(4*h - 1)
Suppose 0 = -10*l + 8*l. Let q(n) be the second derivative of n + 0 + 1/54*n**4 + 2/27*n**3 + l*n**2. Factor q(r).
2*r*(r + 2)/9
Let x(u) be the third derivative of u**8/1344 - u**7/210 + u**6/80 - u**5/60 + u**4/96 - 12*u**2. Suppose x(s) = 0. What is s?
0, 1
Let v(a) = 7*a**3 - 4*a**2 - 7*a - 2. Let r(i) = -i**3 + i**2 + i. Let z be (-3)/9*-1*18. Let c(k) = z*r(k) + v(k). Determine m so that c(m) = 0.
-2, -1, 1
Determine i so that -31*i**2 - 16 + 22*i**2 + 20*i**5 + 60*i**4 + 30*i**5 + 72*i - 35*i**2 - 122*i**3 = 0.
-2, -1, 2/5, 1
Let i(w) = -w**3 - 7*w**2 + 7*w + 6. Let x be i(-7). Let j = 131/3 + x. Factor -1/3*q + j*q**2 + 1/3*q**5 + 0*q**3 + 0 - 2/3*q**4.
q*(q - 1)**3*(q + 1)/3
Let w = 24 + -23. Let c(h) be the first derivative of -1/4*h**3 + 3/20*h**5 - w + 0*h - 1/8*h**6 + 0*h**2 + 3/16*h**4. Factor c(r).
-3*r**2*(r - 1)**2*(r + 1)/4
Let i be 0*(-3)/(-45)*5. Let j(b) be the third derivative of -1/240*b**5 + b**2 + 0*b - 1/240*b**6 + 0*b**4 + i + 0*b**3. Find p such that j(p) = 0.
-1/2, 0
Let u(w) = w**5 - 12*w**4 + 7*w**3 - 3*w**2 - 7. Let j(h) = h**5 - 11*h**4 + 7*h**3 - 3*h**2 - 6. Let s(b) = 7*j(b) - 6*u(b). What is z in s(z) = 0?
0, 1, 3
Let v(p) = -p**3 + 6*p**2 + 7*p + 3. Let k be v(7). Suppose 0 = k*f + f. Let -2/5*t**3 + 0*t + f*t**2 + 0 + 0*t**4 + 2/5*t**5 = 0. Calculate t.
-1, 0, 1
Let r be (8/40)/((-2)/(-4)). Let m(h) be the first derivative of 0*h**3 - r*h**5 + 0*h + 1/4*h**4 + 0*h**2 + 1/6*h**6 - 2. Let m(d) = 0. Calculate d.
0, 1
Let z = 3/22 + 4/11. Let u = -16 - -33/2. Factor -u*q + z*q**2 + 1/2*q**3 - 1/2.
(q - 1)*(q + 1)**2/2
Let n = -655 + 7213/11. Factor -2/11*z**2 - 8/11 + n*z.
-2*(z - 2)**2/11
Solve -2149 - 375 - 5*d**2 - 121 - 230*d = 0.
-23
Let c(r) be the first derivative of r**5/70 - r - 1. Let o(n) be the first derivative of c(n). Factor o(d).
2*d**3/7
Let t(r) = 2*r**3 - 3*r**2 + 7*r + 3. Let k(d) = -d**2 - d - 1. Let y(j) = -3*k(j) - t(j). Solve y(q) = 0 for q.
0, 1, 2
Solve -2/7*k**5 - 8/7*k**2 + 4/7*k**3 - 2/7*k + 4/7 + 4/7*k**4 = 0.
-1, 1, 2
Let f(h) be the third derivative of h**8/10080 - h**7/2520 - h**5/12 - h**2. Let i(r) be the third derivative of f(r). Factor i(b).
2*b*(b - 1)
Let f(o) be the third derivative of -o**5/8 + 27*o**4/16 - 5*o**3/2 + 26*o**2. Factor f(a).
-3*(a - 5)*(5*a - 2)/2
Let t be (-710)/(-4)*4/(-360) - -2. Let a(y) be the second derivative of 0 + t*y**4 + 1/6*y**2 - 1/9*y**3 - y. Find v such that a(v) = 0.
1
Let r(p) be the first derivative of p**4/16 - p**3/6 - 5. Determine i, given that r(i) = 0.
0, 2
Let p = -272 + 275. What is a in -2/11*a**p - 2/11*a**2 + 2/11*a + 0 + 2/11*a**4 = 0?
-1, 0, 1
Solve 4/5*p + 2/5 + 2/5*p**2 = 0.
-1
Let b = 12/235 - -7/47. Factor b*k**2 + 4/5 + 4/5*k.
(k + 2)**2/5
Let j be 4/(-14) - 9/((-315)/10). Let c(a) be the second derivative of j - 1/12*a**4 - a**2 + 1/2*a**3 + a. Let c(p) = 0. What is p?
1, 2
Let z(x) be the second derivative of 3*x**6/10 - 3*x**5/2 + 13*x**4/12 + 10*x**3/3 + 2*x**2 + 15*x. Suppose z(b) = 0. Calculate b.
-1/3, 2
Let a be (-2 + 12/9)*-6. Factor -u**2 - u**2 + a*u**2.
2*u**2
Let c(d) be the first derivative of -d**7/2520 - d**6/540 - d**3/3 - 2. Let q(b) be the third derivative of c(b). Factor q(t).
-t**2*(t + 2)/3
Let x(b) be the second derivative of 0*b**2 - 3/5*b**5 - 17/15*b**6 + 10/3*b**4 + 0 + 8*b - 5/21*b**7 + 8/3*b**3. Determine t, given that x(t) = 0.
-2, -2/5, 0, 1
Let m = 27/4 + -185/28. Let l(f) be the first derivative of -2/7*f**2 + 2/35*f**5 - 2/7*f - 1 + m*f**4 + 0*f**3. Factor l(t).
2*(t - 1)*(t + 1)**3/7
Let q(h) be the first derivative of 4/11*h**4 - 4/11*h**3 + 2/11*h + 2 - 6/55*h**5 + 0*h**2. Factor q(r).
-2*(r - 1)**3*(3*r + 1)/11
Let r(p) be the second derivative of 1/147*p**7 + 0*p**3 + 3/70*p**5 - 1/42*p**4 + 0*p**2 - 3*p - 1/35*p**6 + 0. Suppose r(u) = 0. Calculate u.
0, 1
Let m(v) be the second derivative of -v**4/24 + v**3/12 + v**2/2 - 31*v. Let m(b) = 0. Calculate b.
-1, 2
Let x(g) be the first derivative of g**6/90 + g**5/30 - g**4/3 + 5*g**3/3 + 1. Let m(d) be the third derivative of x(d). Factor m(j).
4*(j - 1)*(j + 2)
Let g be (-6