 4*j = 0. Factor v*l**4 - 4/9*l**2 + 2/9 + 0*l**3 + j*l.
2*(l - 1)**2*(l + 1)**2/9
Find a, given that -98/15 - 2/15*a**2 + 28/15*a = 0.
7
Suppose j = -2*j. Let g be (-9)/36*(-2 - j). Let -1/2*a**3 + 1/4*a**4 + 0*a**2 + g*a - 1/4 = 0. Calculate a.
-1, 1
Let 0*v - 1/4*v**2 + 1/4*v**4 + 0 - 1/4*v**3 + 1/4*v**5 = 0. Calculate v.
-1, 0, 1
Let y(v) = -9*v**3 + v**2 + v - 1. Let r(h) = 6*h**3 - h**2 - h + 1. Let z(l) = 8*r(l) + 5*y(l). Solve z(j) = 0 for j.
-1, 1
Suppose -216 = x - 43. Let i = 527/3 + x. Factor 2/3*k**2 + 8/3*k + i.
2*(k + 2)**2/3
Let r(w) = -w**2 - 4*w. Let p be r(-5). Let g = 7 + p. Determine b so that 1/2 + 3*b**g + 2*b + 1/2*b**4 + 2*b**3 = 0.
-1
Let b(r) be the second derivative of -1/21*r**3 + 1/70*r**5 + 1/21*r**4 + 0 + 2*r - 2/7*r**2. What is v in b(v) = 0?
-2, -1, 1
Let f(o) be the first derivative of 2*o**6/3 + 4*o**5/5 - o**4 - 4*o**3/3 + 1. Factor f(s).
4*s**2*(s - 1)*(s + 1)**2
Factor 3 + 5*a**3 - 7 - 6 - 15*a.
5*(a - 2)*(a + 1)**2
Let f(y) be the third derivative of -y**7/560 - y**6/80 - y**5/40 + 8*y**2. Factor f(j).
-3*j**2*(j + 2)**2/8
Determine r, given that 3/4*r**2 + 0 + 3/2*r - 9/4*r**3 = 0.
-2/3, 0, 1
Let p be 46/20 + (-48)/32. What is r in 2/5*r**2 + p - 6/5*r = 0?
1, 2
Let u(j) = j**2 - j + 1. Let z(n) = 5*n**2 - 5*n + 8. Let b(h) = 6*u(h) - z(h). Find d such that b(d) = 0.
-1, 2
Let j(g) be the second derivative of g**6/30 - 3*g**5/20 + g**4/4 - g**3/6 - 6*g. Let j(p) = 0. Calculate p.
0, 1
Let o(g) = -4*g**2 - 11*g - 19. Let z = -19 - -22. Let q(l) = -5*l**2 - 12*l - 20. Let n(u) = z*q(u) - 4*o(u). Find p, given that n(p) = 0.
-4
Let s(g) be the first derivative of 5 - 8/3*g**3 + 1/2*g**4 + 4*g**2 + 0*g. Factor s(w).
2*w*(w - 2)**2
Let g = 1139/8 - 25969/184. Let a = 6/23 + g. Solve 2*u**2 + 0 + 4*u**3 + 0*u + a*u**4 = 0 for u.
-2, -2/3, 0
Let b(a) be the second derivative of 3*a**5/10 + a**4/8 + a**2/2 + 5*a. Let j(f) be the first derivative of b(f). Factor j(v).
3*v*(6*v + 1)
Let m(c) be the second derivative of c**4/48 - 5*c**3/24 + 14*c. Determine v, given that m(v) = 0.
0, 5
Let b(a) be the second derivative of 0 - 5/12*a**4 - 1/4*a**2 + 9/80*a**5 + 13/24*a**3 - 3*a. Let b(s) = 0. What is s?
2/9, 1
Let g(m) be the second derivative of -1/4*m**3 + 1/10*m**6 - 3/20*m**5 + 0*m**2 + 0 - 7/16*m**4 + 6*m. Factor g(r).
3*r*(r - 2)*(2*r + 1)**2/4
Let n(p) be the first derivative of -7/12*p**3 + 1 - 1/4*p**2 + 7/20*p**5 + 1/8*p**4 + 0*p. Let n(r) = 0. What is r?
-1, -2/7, 0, 1
Let m(j) be the first derivative of j**6/3 + 5. Factor m(i).
2*i**5
Suppose 1 = -3*y - 0*y - 4*t, 3 = -3*t. Let p(i) = i**2 - 1. Let g(o) = 3*o**3 + 3*o**2 - 6. Let n(w) = y*g(w) - 6*p(w). Suppose n(c) = 0. What is c?
0, 1
Let y be (-4 - -2)/((-5)/95). Let w = y + -32. Factor 3*b - 6*b**2 - 3/5 + 3/5*b**5 - 3*b**4 + w*b**3.
3*(b - 1)**5/5
Let n(y) = y**2 + 9*y - 7. Let z be n(-10). Let t(s) = -s**2 + 5*s - 2. Let c(j) = 6*j - 3. Let i(x) = z*t(x) - 2*c(x). Suppose i(u) = 0. What is u?
0, 1
Let u = 1565/2 + -830. Let m = 1049/22 + u. Determine o so that -4/11 - m*o - 10/11*o**3 + 16/11*o**2 = 0.
-2/5, 1
Let a(x) be the first derivative of x**2 + 2 + 2*x - 2/3*x**3 - 1/2*x**4. Determine b so that a(b) = 0.
-1, 1
Let j(r) be the first derivative of 0*r**2 + 3/40*r**5 + r - 2 + 1/8*r**4 + 0*r**3. Let k(v) be the first derivative of j(v). Solve k(p) = 0 for p.
-1, 0
Let w = -26 + 28. Let m(b) be the first derivative of 4 + 1/4*b**3 + 0*b + 0*b**w. Factor m(r).
3*r**2/4
Factor -6 + 51*y - 37*y**2 - 5*y**2 - 12*y**2 + 9*y**2.
-3*(y - 1)*(15*y - 2)
Suppose -5*n + 3*v = -6, -8 = 4*n - 0*n + 4*v. Let q(b) be the second derivative of n - 4*b + 1/3*b**3 + 0*b**2 - 1/12*b**4. Solve q(d) = 0.
0, 2
Let p = 4 - 4. Let n(y) be the first derivative of 2/25*y**5 - 1/10*y**4 + p*y - 2 - 2/15*y**3 + 1/5*y**2. Factor n(g).
2*g*(g - 1)**2*(g + 1)/5
Let a = 2/9 - 4/99. Determine k so that 2/11*k**4 - a*k**2 + 0 + 2/11*k**5 + 0*k - 2/11*k**3 = 0.
-1, 0, 1
Let i(u) be the second derivative of u**4/36 + u**3/6 + u**2/3 - 8*u. Determine y so that i(y) = 0.
-2, -1
Let c(t) be the second derivative of 3*t**5/20 - t**3/2 - 2*t. Factor c(o).
3*o*(o - 1)*(o + 1)
Factor -1/3*t + 0 + 2/3*t**3 - 1/3*t**2.
t*(t - 1)*(2*t + 1)/3
Let i(x) = -14*x**2 - 28*x - 4. Let f = -3 + 6. Let u be (10/f)/((-6)/(-18)). Let r(d) = 5*d**2 + 9*d + 1. Let l(q) = u*r(q) + 3*i(q). Factor l(o).
2*(o + 1)*(4*o - 1)
Let t(h) be the first derivative of 2*h**3/9 + 14*h**2/3 + 98*h/3 + 2. Factor t(j).
2*(j + 7)**2/3
Factor r**2 - 3*r**2 + 16 - 2*r**2 + 0*r**2.
-4*(r - 2)*(r + 2)
Let d(l) be the third derivative of -1/180*l**5 + 0 + 0*l**3 - 1/360*l**6 + 8*l**2 + 0*l**4 + 0*l. What is x in d(x) = 0?
-1, 0
What is b in 4/11*b**4 - 4/11*b**2 + 0 - 2/11*b**5 + 0*b**3 + 2/11*b = 0?
-1, 0, 1
Let m(k) be the first derivative of -4*k**3/3 + 16*k**2/3 - 16*k/3 + 3. Find q, given that m(q) = 0.
2/3, 2
Let f(t) be the third derivative of -1/36*t**4 + 1/504*t**8 - 1/90*t**7 + 0*t**3 + 1/180*t**5 + 0*t + 1/60*t**6 + 8*t**2 + 0. Find g, given that f(g) = 0.
-1/2, 0, 1, 2
Let x(n) be the third derivative of -n**6/24 - n**5/6 - 5*n**4/24 - 38*n**2. Factor x(u).
-5*u*(u + 1)**2
Let r be (-18)/(-8) + 21/28. Determine b so that 12/7*b**r + 24/7*b - 2/7*b**4 - 8/7 - 26/7*b**2 = 0.
1, 2
Factor 0 + 0*h - 2/11*h**4 + 2/11*h**5 + 0*h**2 + 0*h**3.
2*h**4*(h - 1)/11
Let d(j) be the second derivative of j**7/63 + j**6/9 + 4*j**5/15 + 2*j**4/9 + 9*j. Solve d(h) = 0.
-2, -1, 0
Let u = -24 - -27. Let d(t) be the first derivative of u + 0*t - 4/3*t**3 - 1/2*t**4 + 4/5*t**5 + t**2. Factor d(z).
2*z*(z - 1)*(z + 1)*(2*z - 1)
Find s, given that -2/7*s**2 + 0 + 20/7*s = 0.
0, 10
Let i(h) be the second derivative of h**6/480 + h**5/120 + h**4/96 - 5*h**2/2 + h. Let c(q) be the first derivative of i(q). Let c(z) = 0. What is z?
-1, 0
Let d(r) be the third derivative of -r**5/60 - r**4/3 - 2*r**3/3 - 6*r**2. Let y be d(-7). Factor -1/2*x**2 - 1/2*x + 1/2 + 1/2*x**y.
(x - 1)**2*(x + 1)/2
Let g(u) = 8*u**5 - 13*u**4 + 2*u**3 + 3*u**2 - 3*u + 3. Let f(v) = 17*v**5 - 27*v**4 + 3*v**3 + 7*v**2 - 7*v + 7. Let l(o) = -3*f(o) + 7*g(o). Factor l(x).
5*x**3*(x - 1)**2
Solve -1/3*r**3 + 1/6*r**5 + 1/3*r**2 - 1/6 - 1/6*r**4 + 1/6*r = 0.
-1, 1
Determine y, given that -24/5*y**2 + 10*y**3 - 8/5*y + 0 - 18/5*y**4 = 0.
-2/9, 0, 1, 2
Let k = 19 - 16. What is o in -5*o**3 + 2*o**4 + 7*o**4 - o**k - 3*o**2 = 0?
-1/3, 0, 1
Suppose 4*j = -0*j + 5*x - 1, 4*x = 5*j + 8. Let m = 0 - j. Suppose 0*w**5 + 6*w**4 + m*w**5 + 2*w**2 - 2*w**5 + 6*w**3 = 0. Calculate w.
-1, 0
Determine u so that -1/6*u**2 + 0 + 1/6*u = 0.
0, 1
Factor -14/5*p - 16/5 + 2/5*p**2.
2*(p - 8)*(p + 1)/5
Suppose 4*p**2 - 4/3*p**3 + 0 + 0*p = 0. Calculate p.
0, 3
Let y be (39/9 - 3) + 2/(-3). Let r(g) be the first derivative of 0*g + y*g**3 + g**2 - 1. Find a such that r(a) = 0.
-1, 0
Let k(j) be the second derivative of -1/9*j**2 + 2/27*j**3 + 5*j + 2/45*j**5 + 0 + 7/54*j**4. Factor k(a).
2*(a + 1)**2*(4*a - 1)/9
Let m = -33 + 100/3. Factor 0*q + m*q**2 + 1/3*q**3 + 0.
q**2*(q + 1)/3
Let g(a) = a**2 + 10*a - 24. Let n be g(-12). Let 2/5*z**2 + 2/5*z**3 + n - 2/5*z**4 - 2/5*z = 0. Calculate z.
-1, 0, 1
Let r = 58 - 56. Let l(b) be the second derivative of -1/2*b**3 - 1/10*b**6 + 1/42*b**7 + 1/6*b**4 + 1/2*b**r + 0 - b + 1/10*b**5. Factor l(p).
(p - 1)**4*(p + 1)
Let w(m) be the third derivative of 3*m**2 - 1/1470*m**7 + 0*m**3 + 1/21*m**4 + 0 + 0*m - 1/35*m**5 + 1/140*m**6. Factor w(g).
-g*(g - 2)**3/7
Let j be ((-4)/(-5))/(6*5/75). Find l such that 6/5 - 6/5*l**j - 9/5*l = 0.
-2, 1/2
Factor -8/3*z**2 + 8/3*z**3 - 2/3*z**4 + 0*z + 0.
-2*z**2*(z - 2)**2/3
Let v(p) = p**2 + 3*p + 2. Let y(d) = 2*d + 2. Let g(i) = -4*v(i) + 6*y(i). Factor g(l).
-4*(l - 1)*(l + 1)
Let q = 5 - 9. Let m = 6 + q. Factor -4 - 5*s**3 + 0*s + 2*s + 4 - 3*s**m.
-s*(s + 1)*(5*s - 2)
Let a(s) be the third derivative of s**5/54 - s**4/18 + s**3/27 + 14*s**2. Find y such that a(y) = 0.
1/5, 1
Let r be 0/(1 - -1) + 0. Let j(m) be the first derivative of 0*m**2 + r*m - 1/12*m**4 + 2 - 1/9*m**3. Factor j(h).
-h**2*(h + 1)/3
Let 0*s - 1/5*s**2 + 0 + 4/5*s**4 - 3/5*s**3 = 0. What is s?
-1/4, 0, 1
Suppose 0 + 4/3*l**2 + 35/3*l**4 - 8*l**3 + 0*l - 4*l**5 = 0. What is l?
0, 1/4, 2/3, 2
Suppose 2*k - 2 = -2*h, -k + 0*k + 1 = 0. Sol