 -60. Factor 9/2*w**2 - o - 6*w**3 + 6*w + 3/2*w**4.
3*(w - 2)**2*(w - 1)*(w + 1)/2
Factor -4*r - 4/3*r**3 - 16/3*r**2 + 0.
-4*r*(r + 1)*(r + 3)/3
Let n(p) be the second derivative of -p**4/12 + p**3 - 9*p**2/2 + 2*p. Let n(g) = 0. What is g?
3
Let m(w) be the second derivative of -w**7/210 + w**5/100 - 3*w. Suppose m(c) = 0. Calculate c.
-1, 0, 1
Let o(i) be the third derivative of -i**7/560 + i**6/240 - 2*i**3/3 - 2*i**2. Let c(f) be the first derivative of o(f). Factor c(r).
-3*r**2*(r - 1)/2
Let n = 8/9 - -191/18. Find x such that 0 - n*x**4 + 3/2*x**2 - 6*x**5 - 9/2*x**3 + 1/2*x = 0.
-1, -1/4, 0, 1/3
Let y(w) be the second derivative of 1/40*w**5 - 1/12*w**4 + 0*w**2 + 6*w + 0 + 1/12*w**3. Factor y(u).
u*(u - 1)**2/2
Let n(u) be the second derivative of u**6/30 - u**4/6 + u**2/2 - u. Factor n(h).
(h - 1)**2*(h + 1)**2
Let r(v) be the first derivative of -v**7/1260 + v**5/180 - 2*v**3/3 - 1. Let l(o) be the third derivative of r(o). Solve l(j) = 0.
-1, 0, 1
Suppose 11 = 6*f - 13. Solve 2/9*a**3 + 2/9*a**f - 2/9*a**2 + 0*a - 2/9*a**5 + 0 = 0 for a.
-1, 0, 1
Let o = 17 + -13. Find b such that 8*b**3 - 6*b**4 - 4*b**5 + 8*b**2 - 3 + 2*b**4 - 1 - o*b = 0.
-1, 1
Let m(f) = 5*f**2 + 5*f - 4. Let u be (0 + 1)/((-3)/3). Let z(s) = -s**2 - s + 1. Let j(p) = u*m(p) - 4*z(p). Determine v so that j(v) = 0.
-1, 0
Factor 2/7*w**2 + 0 - 6/7*w.
2*w*(w - 3)/7
Let h = 1101 - 6605/6. Let 1/6*q**2 - h*q + 1/6*q**3 - 1/6 = 0. Calculate q.
-1, 1
Find z such that 5/2*z**2 - z**4 - 1/4*z**3 - 2 + z - 1/4*z**5 = 0.
-2, 1
Suppose -1/2*k**2 + 5 - 9/2*k = 0. Calculate k.
-10, 1
Determine l so that -5*l**5 - 25*l**4 - 5*l**3 - 2 - 50*l**2 - 45*l**3 - 25*l - 3 = 0.
-1
Let x(o) be the third derivative of o**8/40320 + o**7/10080 - o**5/30 + 3*o**2. Let n(k) be the third derivative of x(k). Let n(h) = 0. What is h?
-1, 0
Suppose -4*l + 76 = k + 4*k, 0 = 4*k - 5*l - 28. Suppose -2*z + 4*g = -16 - 2, -4*g - k = 0. Factor 3*x**z - 2*x**2 + 0 + 1/2*x**5 - 2*x**4 + 1/2*x.
x*(x - 1)**4/2
Let t(u) be the third derivative of 1/40*u**5 - 1/140*u**7 + 0*u**3 + 0*u + 0 + 4*u**2 + 0*u**6 + 0*u**4. Factor t(w).
-3*w**2*(w - 1)*(w + 1)/2
Let j(l) be the first derivative of -2*l**6/5 + 4*l**5/5 - l**4/5 - 4*l**3/15 + 10. Let j(r) = 0. What is r?
-1/3, 0, 1
Let v = -1/5 + 8/15. Factor -2/3*w - v*w**2 - 1/3.
-(w + 1)**2/3
Let m(j) be the first derivative of -j**6/2 + 9*j**5/5 - 4*j**3 + 9. Let m(d) = 0. What is d?
-1, 0, 2
Let b(h) be the second derivative of 1/24*h**4 - 1/80*h**5 - 3*h + 0*h**2 + 0 - 1/24*h**3. Factor b(u).
-u*(u - 1)**2/4
Factor -5*f**2 + 1 + 3*f**2 + f + 5 - 5*f.
-2*(f - 1)*(f + 3)
Let g(u) be the first derivative of u**4/10 - 6*u**3/5 + 24*u**2/5 - 32*u/5 + 10. Solve g(x) = 0 for x.
1, 4
Factor -1/3 + 2/9*w + 1/9*w**2.
(w - 1)*(w + 3)/9
Let d(v) be the first derivative of -v**6/180 - v**5/60 + v**4/6 - v**3 + 3. Let c(x) be the third derivative of d(x). Factor c(b).
-2*(b - 1)*(b + 2)
Let l = -49 + 54. Let r(b) be the third derivative of 0*b + 1/15*b**l + 0 + 0*b**6 + 0*b**4 - 3*b**2 - 1/105*b**7 - 1/3*b**3. Let r(d) = 0. Calculate d.
-1, 1
Let c(g) be the first derivative of -4*g**4/7 - 4*g**3/21 + 48. Factor c(p).
-4*p**2*(4*p + 1)/7
Let z(q) be the first derivative of 2*q + 2/5*q**5 - 4/3*q**3 - 4 + 0*q**2 + 0*q**4. Factor z(r).
2*(r - 1)**2*(r + 1)**2
Let f(w) be the second derivative of -w**5/80 + w**4/48 + w**3/24 - w**2/8 - 3*w. Factor f(j).
-(j - 1)**2*(j + 1)/4
Factor 4*c**3 + 17*c**2 - 8*c**2 + 2*c**4 - 4*c - 11*c**2.
2*c*(c - 1)*(c + 1)*(c + 2)
Factor 5/6*q + 1/6 + 2/3*q**2.
(q + 1)*(4*q + 1)/6
Let t(z) be the third derivative of z**7/3780 + z**6/1080 - z**5/90 - z**4/6 + 2*z**2. Let v(i) be the second derivative of t(i). Find h such that v(h) = 0.
-2, 1
Let a = -4 - -5. Suppose -y + 1 = q, -q + 0 = a. Factor 6 - y - 9*h**2 - 7*h - 4 + 2.
-(h + 1)*(9*h - 2)
Let s(q) be the second derivative of -q**7/63 - 2*q**6/45 - q**5/30 + 6*q. Factor s(a).
-2*a**3*(a + 1)**2/3
Let -2*h + 2/3*h**2 + 4/3 = 0. What is h?
1, 2
Let y(c) = -12*c**2 + 74*c - 10. Let v be y(6). Solve 50/7*n**4 + 16/7 - 104/7*n + 228/7*n**v - 190/7*n**3 = 0.
2/5, 1, 2
Let x(r) be the second derivative of -3*r**5/100 + 15*r. Find y, given that x(y) = 0.
0
Suppose 2*z + 4*o + 16 = 0, -5*z = -4*o - 5 - 25. Let x be (z/24)/((-14)/(-42)). Factor 1/4*s**2 + x + 1/2*s.
(s + 1)**2/4
Let f(g) = g**2 + 5*g + 3. Suppose -54 - 2 = -4*z. Let q(t) = 3*t**2 + 11*t + 7. Let v(y) = z*f(y) - 6*q(y). Determine d so that v(d) = 0.
0, 1
Let a(w) be the first derivative of 3*w**5/5 - 15*w**4/4 + 9*w**3 - 21*w**2/2 + 6*w - 12. Solve a(d) = 0.
1, 2
Let r be (-207)/(-27) + (-2)/6. Let a = r + -7. Suppose -20/3*z - 7/3*z**3 - a*z**4 - 8/3 - 6*z**2 = 0. What is z?
-2, -1
Let c = 4 - 4. Let j(x) = 3*x + 1. Let f be j(1). Factor 24*o - 21*o**2 + 3*o**2 + c*o**2 - 8 - 2*o**f + 12*o**3 - 8*o**2.
-2*(o - 2)**2*(o - 1)**2
Find f, given that 3*f**4 - 6 - 2*f**2 + 5*f**2 - 11*f - 11*f + 13*f + 9*f**3 = 0.
-2, -1, 1
Let q be 60/33 + (-2)/(-11). Suppose -2*i + q*x = -0*x - 6, -3*x = i + 9. Find y, given that -2*y**4 + i*y**4 + 2 - 4*y**2 + 4*y**4 = 0.
-1, 1
Let i be (-11 + 2)*(-4)/4. Let p be 1 + (-4 - i/(-3)). Solve 0*b**3 + p - 2/3*b**5 + 2/3*b - 4/3*b**4 + 4/3*b**2 = 0 for b.
-1, 0, 1
Let n = -5 + 4. Let h(k) = 14*k**2 - 4*k - 10. Let s(g) = -g**2 + 1. Let t(y) = n*h(y) - 12*s(y). Solve t(o) = 0.
1
Let f(i) be the third derivative of 3*i**2 + 0*i**3 + 0 + 1/420*i**7 + 0*i - 1/240*i**6 + 0*i**5 + 0*i**4. Factor f(g).
g**3*(g - 1)/2
Suppose -n + 0 = 2*q - 8, n = -3*q + 10. Factor -12*x - 3 - 2 + 13*x**2 + x**4 + n + 5 - 6*x**3.
(x - 2)**2*(x - 1)**2
Let q(s) = 6*s**2 + 3*s - 3. Let c(h) = -h**3 - 7*h**2 - 4*h + 4. Let r(g) = 3*c(g) + 4*q(g). Factor r(w).
-3*w**2*(w - 1)
Let 1/4*r**5 + 3/4*r**4 - 1/4 - 1/2*r**2 - 3/4*r + 1/2*r**3 = 0. What is r?
-1, 1
Let o(a) be the second derivative of -3*a**5/10 + 5*a**4/6 - 2*a**3/3 - 3*a. What is v in o(v) = 0?
0, 2/3, 1
Factor -1/6*a**3 + 0*a + 1/6*a**4 - 1/6*a**2 + 0 + 1/6*a**5.
a**2*(a - 1)*(a + 1)**2/6
Let m(i) be the second derivative of 0*i**4 - 1/9*i**3 + 4*i + 0 + 1/30*i**5 + 1/90*i**6 - 1/6*i**2. Factor m(g).
(g - 1)*(g + 1)**3/3
Let d(k) = 2*k**2 - 7. Let t be 7 + 2/(-3)*3. Let s be 2/(-7) + (-12)/7. Let q(m) = m**2 - 3. Let l(f) = s*d(f) + t*q(f). Factor l(u).
(u - 1)*(u + 1)
Let g(u) be the first derivative of u**4/8 - u**3/3 + u**2/4 - 6. Factor g(m).
m*(m - 1)**2/2
Let x be 20/2*(-2)/(-12). Suppose 0 = -2*h + f + 2, -3*f + 19 = 5*h - 8. Find d such that -5/3*d**4 + 2/3*d - 2/3*d**h + 0 + x*d**2 = 0.
-1, -2/5, 0, 1
Let k be 20/6*(-6)/(-5). Suppose -3*v = -4*i - 2, -i + 1 = -0*i. Factor 3*j**k + v*j**3 + 4*j**5 - 3*j**5 + j**2 + j**3.
j**2*(j + 1)**3
Suppose 79 - 49 = 5*h. Let u(w) be the third derivative of -1/150*w**5 + 1/60*w**4 - 1/300*w**h + 0 + 0*w + 1/525*w**7 + 0*w**3 - w**2. Factor u(k).
2*k*(k - 1)**2*(k + 1)/5
Let v be (1/(-2))/(8/(-16)). Let m be (v + 1)*(-3)/(-2). Factor 5*p**3 - 2*p**m - p**3.
2*p**3
Let s(l) be the second derivative of 49*l**5/150 + 7*l**4/30 + l**3/15 + l**2/2 + 4*l. Let a(w) be the first derivative of s(w). Solve a(g) = 0.
-1/7
Let h(m) = m. Let u(w) = -68*w**2 + 67*w - 4. Let z(d) = 5*h(d) + u(d). Let z(s) = 0. Calculate s.
1/17, 1
Let x = 1 + -1. Suppose x = w - 2*w + 3*f + 9, -3*w = 5*f + 1. Factor 2*c - 14*c**2 + 5 + 2 - 12*c**3 - w.
-2*(c + 1)*(2*c - 1)*(3*c + 2)
Let w = 15 + -15. Suppose -2/3*u**2 + 0*u + w = 0. What is u?
0
Let a be 25/9 - (301/63 - 5). Factor -2/7 + 2/7*d**a + 6/7*d - 6/7*d**2.
2*(d - 1)**3/7
Let m(x) be the third derivative of 1/3*x**3 + 0*x + 0 - x**2 - 1/36*x**4 + 1/60*x**5 - 1/270*x**6. Let d(y) be the first derivative of m(y). Factor d(c).
-2*(c - 1)*(2*c - 1)/3
Let j(r) = 4*r**5 + 2*r**4 + 2*r**3 - 4*r**2 - 2. Let a(f) = -5*f**5 - f**4 - 3*f**3 + 4*f**2 - f + 3. Let o(h) = -4*a(h) - 6*j(h). Factor o(m).
-4*m*(m - 1)*(m + 1)**3
Let v(u) be the first derivative of -7 + 0*u + 0*u**5 - 1/2*u**6 + 9/4*u**4 - 2*u**3 + 0*u**2. Factor v(w).
-3*w**2*(w - 1)**2*(w + 2)
Solve 0*t**4 + 1/3 + 1/6*t**5 - 2/3*t**3 - 1/3*t**2 + 1/2*t = 0 for t.
-1, 1, 2
Let g(n) = -4*n - 9. Let h be g(-3). Suppose 0 = -h*o - 9, o - 6 = -5*r - 2*o. Let 9/2 + 1/2*u**2 + r*u = 0. What is u?
-3
Let f(k) = 4*k**2 + 4*k. Suppose 0 = -q - 3 + 7. Let p(