 2/3*w + 2/3*w**3 = 0.
-1, 1
Let c(j) be the second derivative of -j**5/60 + j**4/8 - j**3/3 + 3*j**2/2 + j. Let s(r) be the first derivative of c(r). Factor s(h).
-(h - 2)*(h - 1)
Let v(k) be the first derivative of -2 + 0*k**3 - 3*k**2 - 4*k + 1/2*k**4. Find j, given that v(j) = 0.
-1, 2
Let x(b) be the first derivative of b**3/18 - b**2/4 + b/3 - 9. Let x(z) = 0. Calculate z.
1, 2
Suppose 5*v + 2*d = 1 - 6, v + 3*d = 12. Let c = v - -5. Factor 0*u**3 - 8*u**c - 4 + 5*u + 5*u + 2*u**3.
2*(u - 2)*(u - 1)**2
Let v(f) be the third derivative of -f**6/240 + f**5/40 - f**4/16 + 2*f**3/3 + f**2. Let k(z) be the first derivative of v(z). Factor k(d).
-3*(d - 1)**2/2
Let u = 5 - 2. Determine b so that 3*b**4 - 6*b**u + 16*b - 16*b + 3*b**2 = 0.
0, 1
Let z(t) be the third derivative of -1/60*t**5 + 0 + 1/24*t**4 - 7*t**2 + 0*t**3 + 0*t. Suppose z(l) = 0. What is l?
0, 1
Let x(s) be the third derivative of -s**6/60 + s**5/15 + s**4/12 - 2*s**3/3 + 5*s**2. Suppose x(p) = 0. What is p?
-1, 1, 2
Let d(f) = 5*f**2 - 3 + 3 + 2 + f**2 + f**3. Let s be d(-6). Factor 0*w - 4 + 14*w**3 + 24*w**s + 0*w + 6*w.
2*(w + 1)**2*(7*w - 2)
Let b(h) be the first derivative of -h**6/39 + h**4/13 - h**2/13 - 21. Factor b(n).
-2*n*(n - 1)**2*(n + 1)**2/13
Let f(d) be the third derivative of -d**6/24 - 7*d**5/12 - 55*d**4/24 - 25*d**3/6 + 18*d**2. Solve f(i) = 0.
-5, -1
Let -1/2*m**2 - 3/4*m + 1/2 + 3/4*m**3 = 0. Calculate m.
-1, 2/3, 1
Let v = 152/3 - 1058/21. Let i(h) be the second derivative of -1/105*h**6 + 1/14*h**5 + 0 - v*h**2 + h - 3/14*h**4 + 1/3*h**3. Solve i(t) = 0 for t.
1, 2
Let k(g) be the first derivative of 3 - 1/3*g**6 + 0*g**3 + 0*g - 4/5*g**5 - 1/2*g**4 + 0*g**2. Factor k(c).
-2*c**3*(c + 1)**2
Let j(l) = -l**5 - l**4 - l**3 + l - 1. Let w(m) = -9*m**5 - 27*m**4 - 24*m**3 + 6*m - 6. Let y(k) = 6*j(k) - w(k). Let y(x) = 0. What is x?
-6, -1, 0
Let y = -8 + 12. Let w be 39/9 - y/(-6). Factor 0*j**2 + w*j**2 + j**5 - j**3 - 3*j**2 + j**4 - 3*j**2.
j**2*(j - 1)*(j + 1)**2
Let r(f) = 5*f**2 - 3*f - 8. Let b(y) be the first derivative of 3/2*y**2 + 4 + 9*y - 2*y**3. Let l(k) = -2*b(k) - 3*r(k). Factor l(o).
-3*(o - 2)*(o + 1)
Let r = -7039/366 - -115/6. Let a = 167/244 - r. Determine m, given that a*m**2 - 3/4*m**3 + 0 + 1/4*m**4 - 1/4*m = 0.
0, 1
Factor 0 + 3/2*h**2 - 15/4*h**3 - 3/8*h**5 + h + 17/8*h**4.
-h*(h - 2)**3*(3*h + 1)/8
Factor 1/3*z**3 - 7/3*z**2 - 3 + 5*z.
(z - 3)**2*(z - 1)/3
Let s(m) be the second derivative of m**6/45 + m**5/10 - m**4/18 - m**3/3 - 6*m. Determine y, given that s(y) = 0.
-3, -1, 0, 1
Let x(d) = -3*d**4 + 6*d**3 - d**2 - 2*d + 2. Let w(g) = g**4 - g**3 - g**2 + g - 1. Let b(c) = -2*w(c) - x(c). Find v, given that b(v) = 0.
0, 1, 3
Factor 3/5*p**3 + 0*p**2 + 6/5 - 9/5*p.
3*(p - 1)**2*(p + 2)/5
Factor u**2 - 4 + 3*u + 5 - 2*u - u**3 - 2*u**2.
-(u - 1)*(u + 1)**2
Let b be 1*(-1 + 4)*(-10)/(-50). Factor 3/5*a - 3/5*a**3 - 3/5*a**4 + 0 + b*a**2.
-3*a*(a - 1)*(a + 1)**2/5
Let q = 10 + -8. Let n be (-2)/5 - (-34)/10. Factor 3*b**5 + b**4 - 2*b**2 - q*b**n + b**4 + b**5 - 2*b**5.
2*b**2*(b - 1)*(b + 1)**2
Let d(l) be the third derivative of l**5/420 + l**4/168 - l**3/7 - 32*l**2. Factor d(c).
(c - 2)*(c + 3)/7
Suppose 0 = 5*l - l + 4. Let h be 1 + l + 0 + 2. Factor -6/5*k + 3/5*k**h + 0.
3*k*(k - 2)/5
Let s be (2 - 5) + 21 + -1. Suppose -3*q = 2*q - l - s, 5*l + 4 = -2*q. Factor 3*g**2 + q*g**3 + 29 - 29.
3*g**2*(g + 1)
Let y(n) be the third derivative of 0*n**6 + 1/140*n**7 + 0*n + 0*n**4 + 0*n**3 - 4*n**2 + 0 - 1/40*n**5. Solve y(r) = 0.
-1, 0, 1
Let c(l) be the second derivative of -l**7/42 + l**6/6 - 9*l**5/20 + 7*l**4/12 - l**3/3 + 9*l. Suppose c(u) = 0. What is u?
0, 1, 2
Determine t so that -5*t + 0 - 5/4*t**2 = 0.
-4, 0
Let p(v) be the second derivative of v**7/147 + v**6/105 - v**5/70 - v**4/42 - v. Factor p(i).
2*i**2*(i - 1)*(i + 1)**2/7
Let u(d) be the third derivative of -d**6/120 + d**5/60 + d**4/12 - 13*d**2. Factor u(q).
-q*(q - 2)*(q + 1)
Let u(m) = 2*m**2 - 8*m + 11. Let j(o) = 3*o**2 - 12*o + 17. Let x(q) = -5*j(q) + 8*u(q). Determine f so that x(f) = 0.
1, 3
Let z(n) = -n**2 - 1. Let y(c) = 3*c + 5 + 0*c**2 - 4*c + 2*c**2 + 2*c. Let r(q) = y(q) + 3*z(q). Determine o, given that r(o) = 0.
-1, 2
Let l(i) be the third derivative of -i**8/336 + 13*i**7/630 - 17*i**6/360 + i**5/60 + i**4/9 - 2*i**3/9 - 11*i**2. Find d such that l(d) = 0.
-2/3, 1, 2
Let h(g) be the first derivative of -5*g**3/3 + 15*g**2/2 + 11. Factor h(s).
-5*s*(s - 3)
Let y(m) = m + 7. Let a be y(-5). Let j = 18/7 + -29/14. Determine t so that -j*t**a - t - 1/2 = 0.
-1
What is a in -3*a**2 + 3 + 9 + 3*a**2 - 20*a + 4*a**2 + 4*a**3 = 0?
-3, 1
Let y(t) be the third derivative of t**8/1344 - t**7/105 + 5*t**6/96 - 19*t**5/120 + 7*t**4/24 - t**3/3 + 10*t**2. Suppose y(m) = 0. What is m?
1, 2
Let 594/5*l**4 + 243/5*l**5 + 132/5*l**2 + 471/5*l**3 + 0 + 12/5*l = 0. What is l?
-1, -2/9, 0
Let b(x) be the second derivative of 3*x**5/20 - x**4/2 - x**3/2 + 3*x**2 - 5*x. Suppose b(r) = 0. Calculate r.
-1, 1, 2
Suppose x - 3 + 0 = 0. Let w(n) be the second derivative of -1/12*n**x + 0 + 0*n**2 + n - 1/24*n**4. Factor w(h).
-h*(h + 1)/2
Factor -10/3*n**3 + 4/3 - 14/3*n + 2/3*n**4 + 6*n**2.
2*(n - 2)*(n - 1)**3/3
Let a(q) = q**4 - q**3 - q**2 - q. Let o(v) = 5*v**4 - 8*v**3 + v**2 - 6*v. Let i(d) = -4*a(d) + o(d). Factor i(y).
y*(y - 2)*(y - 1)**2
Let j = 27 - 25. Let w(h) be the first derivative of 2*h**2 + 1/5*h**5 + 2*h**3 + h + h**4 + j. Find i, given that w(i) = 0.
-1
Factor 0*v + 1/4*v**4 + 1/2*v**2 - 3/4*v**3 + 0.
v**2*(v - 2)*(v - 1)/4
Let a(r) = 8*r**2 + 1. Let c be a(-1). What is p in -7*p**3 - 5*p**3 + c*p + 6 - 6*p**2 - p**3 + 4*p**3 = 0?
-1, -2/3, 1
Let d = 1/998 - -3985/6986. Factor 2/7*h**2 + 0 - d*h.
2*h*(h - 2)/7
Let s(z) = 4*z + 5. Let n be s(-6). Let o = 59/3 + n. Let 0 + o*g**2 - 4*g**4 + 0*g - 7/3*g**5 - g**3 = 0. Calculate g.
-1, 0, 2/7
Let y(a) = a**3 - 3*a**2 + 3*a. Let b be 1 - 2 - (-2 - 1). Let v be y(b). Factor -2*z**2 + 4*z**2 - 4*z**v + 2.
-2*(z - 1)*(z + 1)
Let h(o) = o**3 - o**2 + o + 1. Let s(c) = -13*c**3 - 23*c**2 + 26*c + 14. Let v(p) = -2*h(p) + s(p). Find x such that v(x) = 0.
-2, -2/5, 1
Suppose -4*u = 5*r - 27 - 2, 3*r = -4*u + 19. Factor -1 + 4*f**2 - f**2 - 3 + u.
3*(f - 1)*(f + 1)
Suppose -2/3*i**2 + 0 - 4/3*i = 0. What is i?
-2, 0
Let r(g) be the second derivative of -1/3*g**4 + 7/27*g**3 + 3*g + 0 + 1/63*g**7 - 13/135*g**6 + 11/45*g**5 - 1/9*g**2. Factor r(h).
2*(h - 1)**4*(3*h - 1)/9
Let w(r) be the first derivative of 1/2*r**3 + 4 - 3*r - 1/2*r**2 - 1/4*r**4 + 1/20*r**5. Let t(v) be the first derivative of w(v). Factor t(s).
(s - 1)**3
Let t(i) be the third derivative of i**6/270 - i**5/90 - i**4/9 - 4*i**3/3 - 5*i**2. Let w(q) be the first derivative of t(q). Factor w(y).
4*(y - 2)*(y + 1)/3
Let m be ((-35)/(-2))/((-14)/28). Let x be (1 + 30/m)*2. Factor 2/7*a**5 - 4/7*a**4 + 0*a**2 + 0 + x*a**3 + 0*a.
2*a**3*(a - 1)**2/7
Let c(v) be the first derivative of 25*v**5 - 25*v**4 - 35*v**3 + 50*v**2 - 20*v + 11. Factor c(l).
5*(l - 1)*(l + 1)*(5*l - 2)**2
Factor 22*j**3 - 34*j**4 + j**2 - 18*j**3 - 4*j + 33*j**4.
-j*(j - 4)*(j - 1)*(j + 1)
Solve -3*r + r**4 - 2*r**3 - 11*r**2 - 11*r**2 + 23*r**2 + 5*r**3 - 2 = 0 for r.
-2, -1, 1
Let z(i) be the first derivative of -i**6/42 - i**5/35 + 3*i**4/28 + 5*i**3/21 + i**2/7 + 44. Factor z(m).
-m*(m - 2)*(m + 1)**3/7
Let d be (24/2)/4 + -3. Let p(n) be the second derivative of 0*n**2 - n + 1/90*n**6 + 0 + 0*n**4 + 0*n**5 + d*n**3. Factor p(s).
s**4/3
Determine n, given that 0 + 1/3*n**2 + 2/3*n = 0.
-2, 0
Find j, given that -18 - 15*j**3 + 25*j**2 + 12 - 5*j**4 + 20*j - 14 - 5*j = 0.
-4, -1, 1
Let c(p) be the third derivative of p**6/200 + 3*p**5/100 - 2*p**3/5 - 3*p**2. Solve c(j) = 0 for j.
-2, 1
Let z(c) = -c**3 + 5. Let x be z(0). Let l(d) be the third derivative of 3/8*d**4 + 1/2*d**3 + 0 + 0*d - 2*d**2 - 1/5*d**x. Factor l(i).
-3*(i - 1)*(4*i + 1)
Suppose -47*i = -44*i. Let r be (-3)/4 - (0 + -1). Factor r*a**3 - 1/2*a**4 + 0*a**2 + 0 + i*a.
-a**3*(2*a - 1)/4
Let u be (-46)/48 - (-1 - 0). Let c(t) be the third derivative of 1/9*t**3 + 0*t**5 + 1/360*t**6 - u*t**4 - t**2 + 0 + 0*t. Factor c(x).
(x - 1)**2*(x + 2)/3
Let b(z) be the second derivative of -z**2 - 1/6*z**4 + z + 0 +