Factor -5*l**z + 2 + 4*l**2 - l**2.
-2*(l - 1)*(l + 1)
Factor -1/3*s + 1/3*s**4 - s**3 + s**2 + 0.
s*(s - 1)**3/3
Suppose 0*t = -3*t + 18. Let m(a) = 9*a**2 + 11*a + 2. Let f(k) = -8*k**2 - 10*k - 2. Let z(o) = t*m(o) + 7*f(o). Find j, given that z(j) = 0.
-1
Let t(g) be the second derivative of g**10/50400 - g**8/5600 + g**6/1200 - g**4/6 + g. Let r(v) be the third derivative of t(v). Determine a so that r(a) = 0.
-1, 0, 1
Let u(w) be the second derivative of 0*w**3 - 1/48*w**4 + 0 + 0*w**2 + 1/168*w**7 - 1/80*w**5 - 2*w + 1/120*w**6. Factor u(x).
x**2*(x - 1)*(x + 1)**2/4
Factor 0 + x**2 + 0*x + 1/2*x**3.
x**2*(x + 2)/2
Let d(u) be the third derivative of 0*u + 1/6*u**3 - 1/24*u**4 - 1/30*u**5 + 0 + 4*u**2 + 1/210*u**7 + 1/60*u**6 - 1/336*u**8. Factor d(y).
-(y - 1)**3*(y + 1)**2
Let t = 131/12 + -17/3. Let j = -5 + t. Determine v so that 0 - j*v + 1/4*v**3 + 0*v**2 = 0.
-1, 0, 1
Suppose 6/7*l**2 + 0 - 2/7*l**4 + 0*l**3 + 4/7*l = 0. What is l?
-1, 0, 2
Solve 0*y + 2/7*y**2 + 0 = 0.
0
Find t such that -4*t**5 + 12*t**4 - 2*t**5 + 4*t**5 + 12*t**2 + 4*t**5 + 22*t**3 = 0.
-3, -2, -1, 0
Let p = 6 - 2. Suppose 0 = -p*o - 0*o. Factor i**3 + 0 + o - 5*i + 2 + 2*i.
(i - 1)**2*(i + 2)
Let c(b) = -b**2 - 10*b - 8. Let d be c(-8). Let s(i) = -i + 10. Let f be s(d). Factor -f*z - 2*z**2 + 3 + 4 - 3.
-2*(z - 1)*(z + 2)
Let h(v) be the first derivative of 3*v**4/20 + 2*v**3/5 - 9*v**2/10 - 17. What is w in h(w) = 0?
-3, 0, 1
Determine v so that -25*v**3 - 31*v - 26*v**2 + 7*v**2 + 135*v - 48 - 16*v**2 = 0.
-3, 4/5
Suppose -i = -2*i + 2*h - 2, -3 = -3*h. Suppose -4*d + 3 = -5*s + 6, i = -5*s - d + 18. Factor -12/11*u**2 - 2/11*u**4 - 2/11 + 8/11*u**s + 8/11*u.
-2*(u - 1)**4/11
Find q, given that -4/5 + 2/5*q**2 + 2/5*q = 0.
-2, 1
Let j(h) = -h**2 + 6*h + 9. Let n(q) = -2*q**2 + 12*q + 19. Let a(c) = -5*j(c) + 2*n(c). Solve a(d) = 0.
-1, 7
Let c(x) be the second derivative of x**6/240 + x**5/160 - x**4/32 - 5*x**3/48 - x**2/8 - 2*x. What is m in c(m) = 0?
-1, 2
Let r(k) = 6*k**4 - 19*k**3 + 26*k**2 - 13*k + 2. Let c(a) = a**4 - a**3 + a**2. Let x(g) = -4*c(g) + 2*r(g). Factor x(l).
2*(l - 2)*(l - 1)**2*(4*l - 1)
Let i(w) be the first derivative of 1/6*w**6 + 0*w**5 + 0*w**2 + 0*w**3 + 0*w - 1/4*w**4 - 3. Solve i(l) = 0.
-1, 0, 1
Let g(p) = 3*p**2 - 4*p + 9. Let h(m) = -1. Let u(t) = -g(t) - 4*h(t). Let c(v) = 48*v**2 - 63*v + 81. Let w(n) = 2*c(n) + 33*u(n). Let w(d) = 0. Calculate d.
1
Let q(j) be the second derivative of j**6/6 - 17*j**5/20 + 7*j**4/4 - 11*j**3/6 + j**2 + 25*j. Find d such that q(d) = 0.
2/5, 1
Let o(n) = 6*n**2 - 6*n - 6. Let t = 12 + -14. Let m(y) = -7*y**2 + 7*y + 5. Let d(z) = t*m(z) - 3*o(z). Determine x, given that d(x) = 0.
-1, 2
Let t be 1 + -2 + -1 + 4. Factor -6 + 2*f**2 - 1 + t*f + 7.
2*f*(f + 1)
Let h = -50699/24 - -2113. Let o(g) be the first derivative of -1/9*g**3 + 1/4*g**6 + h*g**4 + 3 - 2/3*g**5 + 0*g + 0*g**2. Suppose o(y) = 0. Calculate y.
0, 2/9, 1
Let b be (-2 - 39/(-6))/6. Let d(v) be the first derivative of 13/6*v**2 - 20/9*v**3 + b*v**4 + 3 - 2/3*v. Determine l, given that d(l) = 0.
2/9, 1
Let v(w) be the second derivative of w**4/42 + 4*w**3/21 + 4*w**2/7 - w. Find f, given that v(f) = 0.
-2
Let w(q) be the second derivative of q**4/3 - 28*q**3/3 + 98*q**2 - 18*q. Factor w(b).
4*(b - 7)**2
Let s(t) be the second derivative of t**8/6720 + t**7/1120 + t**6/480 + t**5/480 - t**3 - 6*t. Let b(r) be the second derivative of s(r). What is y in b(y) = 0?
-1, 0
Suppose -4*b - 5*z + 12 + 28 = 0, b - 27 = 3*z. Let q be 22/b - 14/21. Factor q*m - 2/5*m**2 - 2/5.
-2*(m - 1)**2/5
Let n(s) = s + 7. Let o be n(-5). Suppose 16 = -2*g - 5*l, o*g + 3*g = -5*l - 10. Factor g*h**4 + 0 + h**3 + 6*h + 3*h**3 - 2 - 10*h.
2*(h - 1)*(h + 1)**3
Factor 1/4 + 4*q + 16*q**2.
(8*q + 1)**2/4
Let -4*f**4 - f**4 + 6*f**4 - 5*f**2 + 4*f**3 = 0. Calculate f.
-5, 0, 1
Solve -4/13*g**2 - 2/13*g - 2/13*g**5 + 2/13 + 2/13*g**4 + 4/13*g**3 = 0 for g.
-1, 1
Let h = 42 + -40. Let 2/3*r**3 + 0 - 2/3*r**h + 2/9*r - 2/9*r**4 = 0. What is r?
0, 1
Let d(x) = -12*x**2 - 25*x - 6. Let s(j) = -6*j**2 - 13*j - 3. Let y(n) = 4*d(n) - 7*s(n). Factor y(z).
-3*(z + 1)*(2*z + 1)
Let k be (3 + (2 - 1))/2. Let f be k*3/(-30)*-2. Factor 0*c - 2/5*c**3 + 0 - f*c**2.
-2*c**2*(c + 1)/5
Solve 63*r**2 + 81/2*r**3 + 4 - 34*r = 0 for r.
-2, 2/9
Let w(i) be the first derivative of i**6/15 + i**5/5 + i**4/20 - 2*i**3/15 + 15. Determine s so that w(s) = 0.
-2, -1, 0, 1/2
Let d(h) be the second derivative of -2*h**4/3 + 3*h**2 + h. Let p(f) = 7*f**2 - 2 - 5 + 2 + 0*f**2. Let l(c) = 5*d(c) + 6*p(c). Find j such that l(j) = 0.
0
Let x(n) = -5*n**4 + 8*n**3 + 10*n**2 - 3*n. Let k(s) = -3*s**4 + 4*s**3 + 5*s**2 - 2*s. Let t(v) = -7*k(v) + 4*x(v). Determine j so that t(j) = 0.
-2, -1, 0
Let c(n) = 3*n**3 - 18*n**2 - 3*n - 6. Let o(f) = -f**3 - f**2 + f - 1. Suppose s + 5 + 7 = 0. Let u(g) = s*o(g) + c(g). Factor u(b).
3*(b - 1)*(b + 1)*(5*b - 2)
Let i(o) = 2*o - 2. Let a be i(2). Suppose -6 = -a*x + 2*v - 3*v, 0 = -x + v. Factor 3*j**x + j**4 - 11*j**3 + 8*j**3 - 5*j + 4*j.
j*(j - 1)**3
Let d(p) be the second derivative of 0 + 1/42*p**4 + 0*p**2 + 1/7*p**3 - 7*p. Factor d(a).
2*a*(a + 3)/7
Let j be 5/(-15) + (-7)/(-3). Suppose 0 = 5*y - j*g - 14, -2*g = -5*y + 2*g + 18. Let 0*w + 0 - y*w**4 - 2/3*w**2 - 2*w**3 - 2/3*w**5 = 0. What is w?
-1, 0
Suppose -15 = z - 4*z. Suppose -h**4 + h**2 + z*h**2 - h**5 - 4*h**2 - h**4 + h**3 = 0. Calculate h.
-2, -1, 0, 1
Let x(c) = -2*c**2 + 18*c - 13. Let w be x(8). Let o(r) be the second derivative of 2/9*r**2 - 5/27*r**w + 0 + 2/27*r**4 - 1/90*r**5 + 2*r. Factor o(u).
-2*(u - 2)*(u - 1)**2/9
Let t(g) be the third derivative of g**7/315 - g**5/90 + 3*g**2. Factor t(o).
2*o**2*(o - 1)*(o + 1)/3
Let z(s) be the first derivative of 3*s**3 + 3/4*s**4 + 3*s + 9/2*s**2 + 4. Suppose z(i) = 0. Calculate i.
-1
Let l(o) = 6. Let i(z) = -z**2 - z - 6. Let h(c) = 3*i(c) + 4*l(c). Factor h(x).
-3*(x - 1)*(x + 2)
Let u(k) be the second derivative of -k**9/75600 - k**8/16800 + k**6/1800 + k**5/600 - k**4/4 - k. Let b(g) be the third derivative of u(g). Factor b(q).
-(q - 1)*(q + 1)**3/5
Suppose -i + 2*i = 88. Let w be i/16 + (-2)/4. Determine h so that 2*h - w*h**2 + 2 + 2 + 3*h**2 = 0.
-1, 2
Let t(y) = y**3 + 3*y**2 - 4*y + 2. Let h be t(-4). Factor -n**4 + 3 - 3 + 5*n**4 + n - 3*n**h.
n*(n + 1)*(2*n - 1)**2
Let q(s) be the third derivative of -s**7/3780 - s**4/24 - 3*s**2. Let r(m) be the second derivative of q(m). Factor r(f).
-2*f**2/3
Let c be ((-3)/2)/(-2*35/56). Factor -2/5*l**4 + 2/5*l + 0 + c*l**3 - 6/5*l**2.
-2*l*(l - 1)**3/5
Let o(g) = -g**5 - 3*g**4 - 7*g**3 - g - 3. Let a(h) = 4*h**5 + 10*h**4 + 22*h**3 + 4*h + 10. Let i(b) = -3*a(b) - 10*o(b). What is s in i(s) = 0?
-1, 0, 1
Determine s so that 1/2*s**4 + 0*s + 1/2*s**2 + s**3 + 0 = 0.
-1, 0
Let j be 3*2*12/9. Let n = -2 + j. Let q(z) = -2*z**3 - 3*z**2 - 3. Let c(h) = -h**3 - h**2 - 1. Let s(d) = n*c(d) - 2*q(d). Find t, given that s(t) = 0.
0
Factor 2*q**2 + 46*q - 1 - 46*q - q**4.
-(q - 1)**2*(q + 1)**2
Factor 0 - 36*d**3 + 0*d - 75/2*d**5 + 6*d**2 + 135/2*d**4.
-3*d**2*(d - 1)*(5*d - 2)**2/2
Let j be (-5)/(-10)*(-4)/(-2)*5. Factor -u**4 + 1/4*u**j + 0 - u**2 + 1/4*u + 3/2*u**3.
u*(u - 1)**4/4
Let r(o) = -o**3 - 4*o**2 - 7. Let k(l) = l**3 + 4*l**2 - l + 8. Let v(w) = 5*k(w) + 6*r(w). Solve v(z) = 0 for z.
-2, -1
Let j(v) be the third derivative of -1/630*v**7 + 0*v + 0 - 1/120*v**6 - 6*v**2 + 1/24*v**4 + 1/9*v**3 - 1/180*v**5. Factor j(o).
-(o - 1)*(o + 1)**2*(o + 2)/3
Let i(x) be the second derivative of -1/105*x**7 - 1/15*x**4 + 0 + 1/15*x**3 + x + 0*x**2 + 0*x**5 + 2/75*x**6. Factor i(k).
-2*k*(k - 1)**3*(k + 1)/5
Let w(u) be the third derivative of -u**5/15 + 4*u**4/3 - 32*u**3/3 + 5*u**2. Factor w(s).
-4*(s - 4)**2
Let a(f) be the first derivative of f**6/6 + f**5/5 - f**4/4 - f**3/3 - 2. Factor a(z).
z**2*(z - 1)*(z + 1)**2
Let i = 3 + -4. Let f(w) = 3*w**2 + 2*w + 1. Let s be f(i). Find k such that -1 - k**3 - 2*k**2 + 0*k**2 - 3*k - k**s = 0.
-1
Let d(f) = -9*f**5 + 17*f**4 + 5*f**3 - 21*f**2 + 4*f + 4. Let s(y) = -2*y**5 + 4*y**4 + y**3 - 5*y**2 + y + 1. Let l(g) = 6*d(g) - 26*s(g). Factor l(z).
-2*(z - 1)**2*(z + 1)**3
Let q be ((-7)/21)/(3/(1 + -4)). Factor q*n**2 + 4/3 + 4/3*n.
(n 