actor -16/5*s**2 - 2/5*s + 4/5 - h*s**3.
-2*(s + 1)**2*(5*s - 2)/5
Let h = 673/5 - 2301/17. Let p = -6/17 - h. Find b such that -4/5 + 2/5*b + p*b**2 = 0.
-2, 1
Let z(s) = -s**2 - 14*s - 9. Let v be z(-13). Let o**v - 1/2*o**5 - o**2 + 1/2*o**3 + 0 + 0*o = 0. What is o?
-1, 0, 1, 2
Let v(i) be the third derivative of 0*i**4 - 1/840*i**6 + 5*i**2 + 0*i**7 + 0 + 0*i**5 + 0*i**3 + 0*i + 1/2352*i**8. Factor v(t).
t**3*(t - 1)*(t + 1)/7
Let s be (0 + -2)/(-2) - -2. Factor 12 + s*u**2 - u + 6*u + 7*u.
3*(u + 2)**2
Factor 12*y - 25/3*y**3 + 8/3 + 10*y**2.
-(y - 2)*(5*y + 2)**2/3
Let f be 3/2*(3 - 1). Let d(n) be the first derivative of 8/27*n**3 + 2/9*n + f + 5/9*n**2. Factor d(w).
2*(w + 1)*(4*w + 1)/9
Let w = -220 + 220. Factor 2/5*r**5 + 0*r + 2/5*r**3 + 0 + w*r**2 + 4/5*r**4.
2*r**3*(r + 1)**2/5
Factor h**3 - 4*h**4 - 2*h**3 - 5*h**3 - 4*h**2 - 2*h**3.
-4*h**2*(h + 1)**2
Let d(y) be the first derivative of 4*y**3/3 - 2*y**2 - 8*y + 11. Factor d(l).
4*(l - 2)*(l + 1)
Let b(s) = -3*s**4 + 6*s**3 - 6*s**2 + 3. Let n(r) = -5*r**4 + 12*r**3 - 11*r**2 - r + 5. Let m(u) = 11*b(u) - 6*n(u). Determine f so that m(f) = 0.
-1, 1
Let p(g) = g**3 - 2*g**2 + g + 2. Let t(j) = j**3. Let i(f) = -p(f) + 2*t(f). What is x in i(x) = 0?
-2, -1, 1
Let x be 20/(-2)*(-1)/5. Factor -14/5*q**2 + x*q - 2/5 + 6/5*q**3.
2*(q - 1)**2*(3*q - 1)/5
Let p be ((-10)/164)/(2/4). Let u = 373/369 + p. Determine i so that -40/9*i - u - 50/9*i**2 = 0.
-2/5
Suppose -5*q + 32 = 12. Factor 2*a**5 - q*a**3 + 3*a**2 + a + a - 3*a**2.
2*a*(a - 1)**2*(a + 1)**2
Let y be 1/((-10)/6 - -2). Factor p**y - 2*p**2 + 8*p**3 + 12*p**4 + 3 - 13*p**2 - 9*p.
3*(p - 1)*(p + 1)**2*(4*p - 1)
Let v(j) be the first derivative of 3/4*j**4 - 6*j**2 + 4*j**3 - 3/5*j**5 + 0*j - 6. Let v(r) = 0. What is r?
-2, 0, 1, 2
Let v(d) = 4*d**2. Let q(m) = 7*m**2 + m. Let p(j) = -4*q(j) + 6*v(j). Factor p(u).
-4*u*(u + 1)
Let d = 2/173 - -1378/519. Solve -2*w - 10/9*w**3 - d*w**2 - 4/9 = 0 for w.
-1, -2/5
Let v(w) be the first derivative of w**5/10 - w**4/8 - w**3/2 + 5*w**2/4 - w + 25. Factor v(a).
(a - 1)**3*(a + 2)/2
Let c(n) be the first derivative of -2*n**5/65 + 2*n**3/39 + 8. What is b in c(b) = 0?
-1, 0, 1
Let g(l) be the second derivative of -9*l**5/8 + 85*l**4/12 + 10*l**3/3 + 44*l. Let g(b) = 0. Calculate b.
-2/9, 0, 4
Let n(p) be the first derivative of -2*p**5/5 + p**4 + 2*p**3 - 4*p**2 - 8*p + 52. Let n(x) = 0. Calculate x.
-1, 2
Suppose 5*z - 21 + 1 = 0. Let d be (4/10)/(z/20). Factor d*o**4 - o**4 + 2*o**3 + o**4.
2*o**3*(o + 1)
Let g = -5 + 4. Let u(j) = 2*j**5 - 2*j**4 + 4*j**3 - j. Let f(n) = n**5 + n**4 + n**3 + n**2 - n. Let q(t) = g*f(t) + u(t). Let q(z) = 0. Calculate z.
0, 1
Let p = -8/355 + 734/1065. Factor 18*g**2 + 0 + p*g**4 - 6*g**3 - 18*g.
2*g*(g - 3)**3/3
Let p(g) = g - 1. Let v be p(1). Let y(w) be the second derivative of 0*w**2 + 0*w**4 + v + 0*w**3 + 1/80*w**5 + 2*w. Factor y(f).
f**3/4
Factor 2/3*w**4 + 0*w**3 + 0*w + 0 - 2/3*w**2.
2*w**2*(w - 1)*(w + 1)/3
Let a(g) be the first derivative of 4*g**5/25 - 3*g**4/5 + 3*g**3/5 + 12. Factor a(j).
j**2*(2*j - 3)**2/5
Let k(f) be the first derivative of -f**4/2 - 6*f**3 - 15*f**2 + 50*f + 7. Suppose k(j) = 0. Calculate j.
-5, 1
Let s be 6/1 - ((-10)/8 + 7). Factor -3*y**2 - 3/2*y**3 - 2*y + 0 - s*y**4.
-y*(y + 2)**3/4
Factor 2/5*r - 4/5*r**2 - 2/5*r**3 + 4/5.
-2*(r - 1)*(r + 1)*(r + 2)/5
Let d be (-42)/(-63) + (-274)/420. Let j(r) be the second derivative of 0*r**4 - d*r**5 + 0 + 0*r**2 + 0*r**3 + r. Find b such that j(b) = 0.
0
Suppose 4*j - 1 - 11 = 0. Suppose -3*b**4 + 0*b**4 - j + 3 = 0. What is b?
0
Let q(g) be the first derivative of -g**4/22 + 14*g**3/33 - 14*g**2/11 + 16*g/11 + 28. Factor q(u).
-2*(u - 4)*(u - 2)*(u - 1)/11
Let s(n) be the first derivative of n**4/4 + n**3/3 - n**2/2 - n - 6. Factor s(h).
(h - 1)*(h + 1)**2
Let z(j) be the first derivative of -j**9/3024 - j**8/420 - j**7/140 - j**6/90 - j**5/120 + j**3/3 + 2. Let i(n) be the third derivative of z(n). Factor i(x).
-x*(x + 1)**4
Suppose 3*x + 21 = 3. Let s = -4 - x. Find r such that -r**s - 2*r**3 + 4*r**4 - 5*r**4 + 0*r**3 = 0.
-1, 0
Let s be (-2)/(1 + 5/(-3)). Suppose -19*o + 4*o**3 + 3*o**s + 2*o**2 - 2 - 5*o**3 + 17*o = 0. What is o?
-1, 1
Let s(w) = -7*w**2 + 2*w + 2. Let y be s(-2). Let p be (-18)/y - 4/15. Factor 0*x - p*x**3 + 1/3*x**2 + 0.
-x**2*(x - 1)/3
Let i be (-40)/(-20) - (-12)/(-7). Determine h, given that 2/7*h + 22/7*h**3 + 8/7*h**4 - i + 18/7*h**2 = 0.
-1, 1/4
Let k(j) be the first derivative of -j**8/4200 - j**7/1050 - j**6/900 - 5*j**3/3 - 7. Let n(b) be the third derivative of k(b). Factor n(y).
-2*y**2*(y + 1)**2/5
Let x be ((-1)/4)/((-12)/32). Factor -8/3 - x*r**2 + 8/3*r.
-2*(r - 2)**2/3
Let v(z) be the second derivative of -z**7/21 + z**5/5 - z**3/3 + 5*z. Factor v(n).
-2*n*(n - 1)**2*(n + 1)**2
Let t = 8109/11 - 737. Factor 6/11*y**4 + 2/11*y**5 - 4/11*y**2 - t - 6/11*y + 4/11*y**3.
2*(y - 1)*(y + 1)**4/11
Suppose -2*t + 13 = 1. Let s be (-5)/((-105)/t)*1. Factor -2/7*l + s*l**2 + 0.
2*l*(l - 1)/7
Solve -12 + 1 + 5*y**2 + 1 - 5*y = 0 for y.
-1, 2
Factor 3*b**3 + 8*b**3 + 2*b**3 - 8*b**3 + 5*b**2.
5*b**2*(b + 1)
Factor -2/7 - 1/7*j**2 - 3/7*j.
-(j + 1)*(j + 2)/7
Let t = 10/17 + -13/51. Let j(m) be the second derivative of 0 + 1/15*m**6 - 1/6*m**4 + 0*m**2 - t*m**3 - 4*m + 1/10*m**5. Factor j(p).
2*p*(p - 1)*(p + 1)**2
Let y(v) be the third derivative of 0 - 1/120*v**5 + 0*v - 1/48*v**4 - 3*v**2 + 0*v**3. Solve y(g) = 0 for g.
-1, 0
Let a(d) be the third derivative of 0*d**4 + 0*d**3 + 8*d**2 + 1/150*d**5 + 0 - 1/210*d**7 + 0*d - 1/200*d**6. What is z in a(z) = 0?
-1, 0, 2/5
Find z such that -2*z**2 - 2/5*z**3 + 2/5*z**5 + 0 + 2*z**4 + 0*z = 0.
-5, -1, 0, 1
Let h(r) be the second derivative of -1/12*r**4 + 0 + 3*r - 2/3*r**3 - 2*r**2. Determine m, given that h(m) = 0.
-2
Factor -9*i**3 + 2*i**4 + 24*i**2 - 32 - 5*i**3 + 16*i - 6*i**3 + 2*i**4.
4*(i - 2)**3*(i + 1)
Let a(p) be the second derivative of -p**4/3 - 4*p**3/3 - 2*p**2 + 5*p. Find f such that a(f) = 0.
-1
Let l(f) be the third derivative of -f**5/12 - f**4/24 - f**3/6 + f**2. Let p(w) = w - 1. Let m(o) = -2*l(o) + 2*p(o). Factor m(c).
2*c*(5*c + 2)
Let m be (2 + -1)*(44/20 + -2). Let j(g) be the first derivative of 0*g**4 - 1/3*g**3 + 0*g**2 + 0*g + m*g**5 + 2. Suppose j(c) = 0. Calculate c.
-1, 0, 1
Find m such that 6 - 33/2*m + 27/2*m**2 - 3/2*m**4 - 3/2*m**3 = 0.
-4, 1
Let l(y) be the third derivative of -y**5/180 + y**4/24 - y**3/9 - 6*y**2. Factor l(r).
-(r - 2)*(r - 1)/3
Let t = -42 - -42. Let u(b) be the first derivative of 1/14*b**4 + 1/7*b**2 - 4/21*b**3 - 2 + t*b. Factor u(v).
2*v*(v - 1)**2/7
Let m(s) be the second derivative of -s**4/4 + s**3/2 + 3*s. Find y, given that m(y) = 0.
0, 1
Let w(a) be the third derivative of -a**8/6720 + a**7/1260 + a**4/12 + 5*a**2. Let l(p) be the second derivative of w(p). Let l(v) = 0. Calculate v.
0, 2
Let g be -1 + (4 - (-159)/(-69)). Let w = -2/69 + g. Factor -2/9 - w*c**2 + 2/3*c + 2/9*c**3.
2*(c - 1)**3/9
Let d(m) be the first derivative of -3*m**4 - m**3/9 + m**2/3 + 2. What is f in d(f) = 0?
-1/4, 0, 2/9
Let d(v) = -v**5 - v**3. Let c(z) = 0*z**3 - z**3 + 6*z**4 + z**5 - 3*z**4 + z**2. Let i(w) = c(w) + 2*d(w). Factor i(u).
-u**2*(u - 1)**3
Let v = 9 - 3. Suppose 4*b + v = -2*t + 18, -4*b = -4*t - 24. Suppose b*l - l**2 + l**3 - 5*l + l**4 + 0*l**2 = 0. What is l?
-1, 0, 1
Find y such that 1 + 35*y**2 + 24*y**4 + 16/5*y**5 + 233/5*y**3 + 51/5*y = 0.
-5, -1, -1/4
Let r(h) be the third derivative of -1/300*h**5 + 0 - 1/1050*h**7 + 0*h**3 - 1/300*h**6 + 0*h + 0*h**4 + 3*h**2. Determine y so that r(y) = 0.
-1, 0
Let m(p) be the first derivative of -1/22*p**4 + 4 + 10/33*p**3 + 8/11*p - 8/11*p**2. Factor m(u).
-2*(u - 2)**2*(u - 1)/11
Let j(z) be the first derivative of 2/9*z**3 - 1/12*z**4 - 2 + 0*z + 1/90*z**5 - z**2. Let i(q) be the second derivative of j(q). Solve i(g) = 0 for g.
1, 2
Let u = 1123/4893 + 2/233. Let y(k) be the second derivative of 1/14*k**4 - 1/105*k**6 - 1/70*k**5 + 0 + k + u*k**3 + 2/7*k**2. Let y(x) = 0. Calculate x.
-1, 2
Let c be ((-2)/(-3))/((-2)/(-6)). Suppose 6*b = b + 5. Factor 2*p**4 + 3 + 0 - 5*p**2 + p**c - b.
2*(p - 1)**2*(p + 1)**2
Let p(h) = h**3 + 17*h**2 + 16*h. Let z be p(-16). Let b(o) be the fir