e third derivative of 0*n**3 + 3*n**2 + 0*n**4 + 0*n + 1/160*n**6 + 1/120*n**5 - 1/420*n**7 + 0 - 1/448*n**8. Find z such that y(z) = 0.
-1, -2/3, 0, 1
Factor 0*o + 0 - 1/3*o**5 + 2/3*o**3 + 1/3*o**4 + 0*o**2.
-o**3*(o - 2)*(o + 1)/3
Factor -5/2*a + 9/4*a**2 + 1/4*a**3 + 0.
a*(a - 1)*(a + 10)/4
Factor -4*v**2 - 4*v**3 - 2*v**2 - v - 3*v**2 + 13*v**2.
-v*(2*v - 1)**2
Let a(r) be the third derivative of -r**7/1260 + 7*r**6/720 - r**5/24 + 13*r**4/144 - r**3/9 + 17*r**2. Factor a(b).
-(b - 4)*(b - 1)**3/6
Let v(b) = -b**3 - 7*b**2 - 6*b + 6. Let w be v(-6). Suppose 0 - 2 = -d. Factor -6 - w*t**d - 4*t + 6.
-2*t*(3*t + 2)
Let w(l) be the first derivative of -l**2/2 + 7*l - 2. Let u be w(6). Factor 2*d**2 - d**3 - 3*d + d**2 + u + 0*d.
-(d - 1)**3
Let l(x) be the first derivative of 3/4*x**4 + 0*x + 0*x**2 - 3/5*x**5 + 1/6*x**6 + 2 - 1/3*x**3. Factor l(o).
o**2*(o - 1)**3
Let k(g) be the first derivative of -g**5 - 15*g**4/4 - 10*g**3/3 - 34. Factor k(i).
-5*i**2*(i + 1)*(i + 2)
Suppose -2/15*y**4 + 2/15*y + 2/15*y**2 + 0 - 2/15*y**3 = 0. Calculate y.
-1, 0, 1
Let r(o) be the third derivative of -25*o**8/224 + 3*o**7/28 + 17*o**6/40 - 7*o**5/20 - 9*o**4/16 - o**3/4 + 2*o**2. Find u, given that r(u) = 0.
-1, -1/5, 1
Let a(r) be the second derivative of r**6/30 + r**5/20 - r**4/4 - r**3/6 + r**2 + 11*r. Let a(z) = 0. Calculate z.
-2, -1, 1
Let k(q) be the third derivative of -q**7/1260 + q**6/360 + q**4/6 + 7*q**2. Let v(f) be the second derivative of k(f). Let v(d) = 0. What is d?
0, 1
Let t be (2/(-9))/(56/(-21)). Let y(n) be the first derivative of 1/6*n**2 + 0*n**3 - t*n**4 + 0*n - 1. Factor y(x).
-x*(x - 1)*(x + 1)/3
Let o(s) = -s - 5. Let m be o(-11). Determine q so that 4*q**4 + 4*q**3 - 4*q - m*q**4 + 3 - 1 = 0.
-1, 1
Let a be (-1 - 1)*(0 - 1). Determine j, given that 150*j**a + 46*j + 125*j**3 + 3 - 27*j + 5 + 41*j = 0.
-2/5
Suppose 0 = 4*m + 4*a + 72, 0 = -5*m + 3*a - 97 - 9. Let k be 2/(m/38) - -4. Solve 1/5*s**3 + 3/5*s**2 - 1/5*s - k*s**4 - 2/5 = 0.
-1, 1, 2
Let -7/5*n**2 + 2/5*n**3 + 0 + 7/5*n**4 - 2/5*n = 0. What is n?
-1, -2/7, 0, 1
Let y(z) be the first derivative of -z**5/10 + z**3/6 + 5. Factor y(b).
-b**2*(b - 1)*(b + 1)/2
Suppose 16*n**3 + 899*n + 57*n**2 - 783*n + 24 + 27*n**2 = 0. Calculate n.
-3, -2, -1/4
Let r = 53 - 51. Determine k, given that -4/7 + 6/7*k + 18/7*k**r + 2/7*k**3 - 6/7*k**4 = 0.
-1, 1/3, 2
Let f(r) = -r**3 - r. Let m(h) = 47*h**3 + 80*h**2 + 55*h + 4. Let j(d) = -18*f(d) - 2*m(d). Factor j(i).
-4*(i + 1)**2*(19*i + 2)
Suppose 3*l = l. Suppose -2*b = -l*b. Factor 0 - 2/5*v**4 + 0*v**3 + b*v**2 + 0*v.
-2*v**4/5
Let f(i) be the third derivative of 1/30*i**5 + 1/540*i**6 + 0 - 6*i**2 + 16/27*i**3 + 0*i + 2/9*i**4. Determine l so that f(l) = 0.
-4, -1
Let f = 2/133 - -123/665. Let b(o) be the second derivative of -2/15*o**3 - 1/30*o**4 + 2*o + 0 - f*o**2. Factor b(r).
-2*(r + 1)**2/5
Let v(c) = c - 5. Let x be v(7). Let w(q) be the third derivative of 0 - q**x - 1/70*q**5 + 0*q - 1/84*q**4 + 2/21*q**3. Find n, given that w(n) = 0.
-1, 2/3
Let s be 4/(-10) - (-85)/210. Let g(c) be the third derivative of 0 + 2*c**2 + 1/84*c**4 + 0*c + s*c**5 + 0*c**3. Let g(n) = 0. Calculate n.
-1, 0
Let i(p) be the second derivative of p**6/105 - p**5/70 + 15*p. Factor i(w).
2*w**3*(w - 1)/7
Suppose 2 = 3*u + 2*z - 4*z, -3*u - z = -8. Let g be (-44)/8 + 54/9. What is w in g*w + 3/2*w**u + 0 = 0?
-1/3, 0
Let l(o) be the third derivative of o**9/105840 + o**8/11760 + o**7/4410 - o**5/6 + 11*o**2. Let m(k) be the third derivative of l(k). Factor m(w).
4*w*(w + 1)*(w + 2)/7
Suppose 3*l + 6*x - 2*x - 6 = 0, 3*l - 3*x - 27 = 0. Let z be (-70)/(-30) + 4/l. Factor 1/4*n**5 + 0 - 1/4*n**2 + 1/4*n**4 - 3/4*n**z + 1/2*n.
n*(n - 1)**2*(n + 1)*(n + 2)/4
Solve -11*q**5 + 7*q**5 - q**3 - 19*q**3 - 8*q**2 - 16*q**4 = 0.
-2, -1, 0
Let g(h) = 4*h**2 + 55*h + 51. Let y(b) = -4*b**2 - 56*b - 52. Let o(u) = 4*g(u) + 5*y(u). Find a such that o(a) = 0.
-14, -1
Factor 21/4*q**3 + 0 + 0*q + 3/2*q**2.
3*q**2*(7*q + 2)/4
Factor -12 - 4*u - 1/3*u**2.
-(u + 6)**2/3
Factor 11*m**3 + 10*m**2 - 2*m - 7*m**2 - 12*m**3.
-m*(m - 2)*(m - 1)
Let w(y) be the first derivative of 0*y + 6*y**2 + 147/4*y**4 + 1 - 28*y**3. Factor w(x).
3*x*(7*x - 2)**2
Let -2/5*p - 6/5*p**2 + 0 + 8/5*p**3 = 0. What is p?
-1/4, 0, 1
Let d(c) be the third derivative of -c**5/180 - 5*c**4/36 - 25*c**3/18 + 17*c**2. Factor d(u).
-(u + 5)**2/3
Let m(x) be the second derivative of 0 - 6*x + 1/3*x**4 - 2*x**3 + 4*x**2. Determine s, given that m(s) = 0.
1, 2
Suppose -x = 2*x - 15. Solve b**2 + 2*b - x*b**2 + b**2 + b**2 = 0.
0, 1
Factor -3*r**4 + 6*r**3 - 6*r**2 + 3/5*r**5 + 3*r - 3/5.
3*(r - 1)**5/5
Let w be (0 + 1)*0/14. Let m(q) be the second derivative of w - 2*q - 1/6*q**4 - 1/45*q**6 + 0*q**2 + 1/9*q**3 + 1/10*q**5. Find h, given that m(h) = 0.
0, 1
Let -3*g**4 + 4*g**3 - 39*g + 48*g + 15*g**2 + 2*g**3 - 3*g**3 = 0. Calculate g.
-1, 0, 3
Let g(j) be the third derivative of 7*j**2 + 0*j**3 + 1/390*j**5 + 0*j - 1/156*j**4 + 0. Let g(w) = 0. What is w?
0, 1
Let j = 0 - 0. Let k(m) be the second derivative of j*m**3 + 1/30*m**5 + 0*m**2 - 1/90*m**6 + m + 0 - 1/36*m**4. Factor k(f).
-f**2*(f - 1)**2/3
Let z = 7 - 3. Let -2*y + 2*y**3 + 8*y - 2 - 2*y**2 - z*y**2 + 0*y**2 = 0. What is y?
1
Factor 1/8*m**2 + 1/8*m**3 - 1/8*m - 1/8.
(m - 1)*(m + 1)**2/8
Let f(b) = b**2 + 1. Let s(y) = -y**3 + 4*y**2 - 8*y + 3. Let c(r) = 3*f(r) + 3*s(r). Suppose c(n) = 0. What is n?
1, 2
Factor 1/3*i**3 - 4/3*i**2 - i + 6.
(i - 3)**2*(i + 2)/3
Determine i, given that 6/13*i**3 + 0 - 4/13*i**2 - 2/13*i**4 + 0*i = 0.
0, 1, 2
Let v(d) = d**2 + 6*d + 4. Let a be v(-6). Let h = 7 + -3. Determine t, given that 3*t**a - 2*t**2 - t**h + 0*t**2 = 0.
-1, 0, 1
Let i be 1 - (28/12)/(20/6). Let l(d) be the second derivative of 0 - i*d**5 + 0*d**2 - 1/42*d**7 - 1/6*d**3 - 1/3*d**4 - 2/15*d**6 - 3*d. Factor l(n).
-n*(n + 1)**4
Let p(y) = 3*y**2 + 9*y + 3. Suppose -2*a = -6*a - 12. Let s be p(a). Determine j, given that 2/3*j - 2/3*j**4 - 4/3*j**s + 4/3*j**2 + 2/3*j**5 - 2/3 = 0.
-1, 1
Let c = -1828319/480 + 3809. Let y(n) be the third derivative of 1/96*n**4 + 0 + 1/840*n**7 - 1/240*n**5 + 0*n + n**2 - c*n**6 + 0*n**3. Solve y(v) = 0.
-1, 0, 1
Let p be (1/(-9))/(1342/(-264) - -5). Suppose -2/3*u**3 + 1/3*u**4 + 8/3*u - p - u**2 = 0. Calculate u.
-2, 1, 2
Suppose 0 = -4*q + 17 + 11. Suppose 5*r - q*r - 4 = 0, 0 = -2*i + r + 2. Factor 1/2*h**5 + 0 + i*h + 5/2*h**3 + 2*h**4 + h**2.
h**2*(h + 1)**2*(h + 2)/2
Let g(m) be the first derivative of 0*m - 1 + 1/6*m**3 + 1/8*m**4 + 0*m**2. Factor g(o).
o**2*(o + 1)/2
Suppose -2*q + 3 = -1. Suppose 0 = q*c + k - 8, 5*c - 26 + 4 = -3*k. Let c - 1 + s**2 - 2 = 0. What is s?
-1, 1
Let h(z) = z**3 - z**2. Let l(s) = 2*s**3 - 4*s**2 - 2*s + 4. Let w(d) = h(d) - l(d). Let k be w(3). Factor -n**2 - n + 4*n**2 - k*n**2.
n*(n - 1)
Suppose 0 = -7*r + 3*r. Suppose r = -4*q + 9 + 7. Find d such that -d**2 + d**2 - 2*d**2 + q*d - 2 = 0.
1
Let r be 0/((-4)/(-2)) + 25. Let l = -49/2 + r. What is v in -l*v**2 - v + 0 = 0?
-2, 0
Let z(g) be the second derivative of g**4/12 + 4*g**3/3 + 8*g**2 - 2*g. Factor z(b).
(b + 4)**2
Let b(c) be the third derivative of 7/480*c**6 + 0 + 11/96*c**4 - 1/12*c**3 + 3*c**2 - 1/15*c**5 + 0*c. Factor b(g).
(g - 1)**2*(7*g - 2)/4
Let u(l) = l**2 + 4*l + 1. Let j be u(-4). Let f be j/(-2) + (-7)/(-10). What is t in -1/5*t**3 - f*t**2 + 1/5*t + 1/5 = 0?
-1, 1
Let b be 4/(-22) - (-245)/77. Let j(v) be the third derivative of 0 + 0*v + 0*v**4 + 0*v**5 - 1/120*v**6 + 0*v**b - 2*v**2. Determine y so that j(y) = 0.
0
Let o = 8 - -1. Factor -5*c**2 + 2*c**3 - 2*c**5 + 2*c**2 - o*c**4 + c**2 + 11*c**4.
-2*c**2*(c - 1)**2*(c + 1)
Let -2*a**2 - 9*a + 2 - 7*a + 18 - 2*a = 0. What is a?
-10, 1
Let l(x) be the first derivative of -x**4/20 - 11*x**3/15 - 19*x**2/10 - 9*x/5 + 9. Determine k so that l(k) = 0.
-9, -1
Let w(z) be the first derivative of 9 - 1/8*z**4 + 0*z**2 + 1/2*z**3 - 2*z. Factor w(c).
-(c - 2)**2*(c + 1)/2
Let o(z) = -4*z**3 + 7*z**2 - 4*z - 5. Let c(p) = -3*p**3 + 6*p**2 - 3*p - 4. Let m(w) = -5*c(w) + 4*o(w). Let m(l) = 0. What is l?
-1, 0
Let m(f) be the first derivative of f**5 + f**4/2 - 5*f**3 + 2*f**2 + 4*f + 1. Let m(t) = 0. Calculate t.
-2, -2/5, 1
Let o(d) = d**3