*2. Let y(z) be the first derivative of c(z). Factor y(n).
2*n**2*(n + 1)*(4*n + 1)
Factor -2*a**2 + 7/3*a**3 + 0*a - 1/3*a**4 + 0.
-a**2*(a - 6)*(a - 1)/3
Let y(g) = -4*g**4 - 11*g**3 - 13*g**2 - 3. Let s(z) = 11*z**4 + 34*z**3 + 39*z**2 + 8. Let l(t) = -3*s(t) - 8*y(t). Factor l(v).
-v**2*(v + 1)*(v + 13)
Let g be -1*(51/(-10) - (-25)/250). Let f(m) be the third derivative of -1/450*m**g + 1/30*m**4 + 4*m**2 + 0 - 1/5*m**3 + 0*m. Factor f(q).
-2*(q - 3)**2/15
Let d(x) be the first derivative of -9*x**4/4 - 17*x**3 - 75*x**2/2 - 33*x - 165. Factor d(g).
-3*(g + 1)**2*(3*g + 11)
Let m(r) be the first derivative of -4*r**5/25 - r**4/5 + 4*r**3/5 + 2*r**2/5 - 8*r/5 + 30. Suppose m(f) = 0. Calculate f.
-2, -1, 1
Let v = 258 + -256. Let q(i) be the third derivative of -1/54*i**4 + i**v + 1/27*i**3 + 1/270*i**5 + 0*i + 0. Factor q(y).
2*(y - 1)**2/9
Let y(u) be the first derivative of 2*u**3/15 - 12*u**2/5 + 8*u - 116. Factor y(r).
2*(r - 10)*(r - 2)/5
Suppose -25*y = -26*y + 3. Suppose 5*w - y = 3*c, -3*c - c = 5*w + 4. Suppose 2/5*i**2 + w*i**3 - 2/5*i**4 + 1/5*i**5 - 1/5*i + 0 = 0. What is i?
-1, 0, 1
Let d(b) be the second derivative of -16*b**5/5 + 200*b**4/3 + 206*b**3/3 + 26*b**2 + 161*b + 2. Let d(j) = 0. Calculate j.
-1/4, 13
Let v(b) be the first derivative of b**4/2 - 22*b**3/3 - b**2 + 22*b - 257. What is r in v(r) = 0?
-1, 1, 11
Suppose -35*t = -26*t - 137*t. Find n, given that 0*n**2 + t*n + n**3 + 0 + 1/4*n**5 + n**4 = 0.
-2, 0
Let c(y) be the first derivative of 14*y**5/25 - 57*y**4/5 + 1142*y**3/15 - 168*y**2 + 392*y/5 + 63. Determine b so that c(b) = 0.
2/7, 2, 7
Let j(z) be the first derivative of z**4/2 - 14*z**3/3 + z**2 - 14*z - 39. Let g be j(7). Determine f, given that 2*f**3 - 14/5*f**2 + 4/5*f + g = 0.
0, 2/5, 1
Factor -116*z**3 + 1682*z**2 + 112*z**2 - 3248*z + 3*z**4 + 1568 - z**4.
2*(z - 28)**2*(z - 1)**2
Factor -29*k + 2420 - 37*k + 5*k**2 - 154*k.
5*(k - 22)**2
Let l(w) be the second derivative of -w**4/24 - 29*w**3/6 - 841*w**2/4 + 140*w. Factor l(j).
-(j + 29)**2/2
Let r(a) be the second derivative of -a**7/2520 - 7*a**6/1080 - a**5/45 + 2*a**4/9 - 5*a**3/6 + 4*a. Let z(c) be the second derivative of r(c). Factor z(o).
-(o - 1)*(o + 4)**2/3
Let v be 3 + -3 + 24/(-8) + 111/21. Factor -20/7*s**2 - 4/7*s**4 + 8/7*s + v*s**3 + 0.
-4*s*(s - 2)*(s - 1)**2/7
Let x(b) be the first derivative of -b**5/15 + b**4/2 - 11*b**3/9 + b**2 - 880. Factor x(g).
-g*(g - 3)*(g - 2)*(g - 1)/3
Factor 2*v**2 + 0 - 2 - 485*v + 2*v**3 + 0*v**2 + 483*v.
2*(v - 1)*(v + 1)**2
Let 24/7*g - 2/7*g**2 - 40/7 = 0. Calculate g.
2, 10
Let l(m) be the first derivative of 22 + 1/12*m**2 - 1/18*m**3 + 0*m. Factor l(k).
-k*(k - 1)/6
Suppose -3*c + 1 + 35 = 0. Suppose -5*u = u - 4*u. Let c*g + u - 3*g**2 - 4 - 8 = 0. Calculate g.
2
Factor 6/17*p - 4/17*p**2 - 2/17.
-2*(p - 1)*(2*p - 1)/17
Let n(h) be the second derivative of -h**6/300 - h**2 + 9*h. Let f(j) be the first derivative of n(j). Determine a so that f(a) = 0.
0
Let s(a) be the first derivative of a**6/8 - 21*a**5/4 + 969*a**4/16 - 289*a**3/4 - 492. Factor s(q).
3*q**2*(q - 17)**2*(q - 1)/4
Let f be (-2 + (-262)/(-27))*(-30)/(-340). Let l = f + -2/153. Factor -l*v**2 - 2/9*v**3 - 2/9 - 2/3*v.
-2*(v + 1)**3/9
Factor -321*h**2 + 1021 - 1297 - 416*h + 3*h**4 - 124*h - 54*h**3.
3*(h - 23)*(h + 1)*(h + 2)**2
Let m(v) be the first derivative of v**6/60 - 23*v**5/50 + 179*v**4/40 - 553*v**3/30 + 36*v**2 - 162*v/5 - 26. What is h in m(h) = 0?
1, 2, 9
Let r(j) be the first derivative of -j**5/170 - j**4/34 - 2*j**3/51 + 5*j - 6. Let q(i) be the first derivative of r(i). Factor q(s).
-2*s*(s + 1)*(s + 2)/17
Let l(g) = -2*g**3 + 11*g**2 - 23*g + 14. Let k(b) = b**3 - 5*b**2 + 12*b - 8. Let z(o) = -7*k(o) - 4*l(o). Let z(y) = 0. Calculate y.
0, 1, 8
Factor 9*z**3 - 122*z - 10*z**3 - 60 + 155*z + 24*z**2 + 4*z**3.
3*(z - 1)*(z + 4)*(z + 5)
Let f(g) be the first derivative of g**4 + 4*g**3 + 4*g**2 + 236. What is z in f(z) = 0?
-2, -1, 0
Let n(w) be the second derivative of -w**6/810 - w**5/90 - w**4/27 - 13*w**3/3 + 36*w. Let x(o) be the second derivative of n(o). Suppose x(k) = 0. What is k?
-2, -1
Let r be 6/4 - 188/120. Let x = r + 17/30. Factor 0 + x*b**2 - b.
b*(b - 2)/2
Let o(y) be the first derivative of -4 + 1/3*y**3 + 2*y**2 - 4*y. Let k(h) = h**2 + 5*h - 5. Let r(d) = 4*k(d) - 5*o(d). What is n in r(n) = 0?
0
Let z(k) = -7*k**5 - 2*k**4 - 11*k**3 - 4*k**2 - 6*k - 6. Let v(n) = 6*n**5 + 2*n**4 + 9*n**3 + 3*n**2 + 5*n + 5. Let o(b) = -6*v(b) - 5*z(b). Solve o(s) = 0.
-2, -1, 0, 1
Suppose -z + 2*z = -3*x + 31, -x = 4*z - 25. Find i such that -20 + 4*i + 4*i**3 + 20*i**2 + i**3 - x*i = 0.
-4, -1, 1
Let -252*s + 9*s**2 - 26*s**4 + 272*s**2 - 206*s**3 + 2*s**5 + 201*s**2 = 0. Calculate s.
-7, 0, 1, 18
Let w = -30 - -16. Let n = -11 - w. Factor -n*y**3 - y**2 + 3*y + 0*y**3 - y**4 + 3 - 1.
-(y - 1)*(y + 1)**2*(y + 2)
Let b(i) be the second derivative of -i**10/60480 - i**9/15120 + i**7/2520 + i**6/1440 + 11*i**4/6 - 9*i. Let k(t) be the third derivative of b(t). Factor k(y).
-y*(y - 1)*(y + 1)**3/2
Let b(g) be the first derivative of 2*g**5/25 + 3*g**4/10 - 14*g**3/15 - 3*g**2 + 36*g/5 + 135. Suppose b(j) = 0. What is j?
-3, 1, 2
Let t(d) be the third derivative of 1/240*d**6 + 0*d**5 - 1/16*d**4 + 0 - 11*d**2 + 1/6*d**3 + 0*d. Factor t(p).
(p - 1)**2*(p + 2)/2
Factor 0*i + 0 + 16/15*i**2 - 4/15*i**4 - 8/15*i**3 + 2/15*i**5.
2*i**2*(i - 2)**2*(i + 2)/15
Let k(z) be the second derivative of -z**6/120 - z**5/20 - z**4/8 - 10*z**3/3 - 2*z. Let h(n) be the second derivative of k(n). Factor h(r).
-3*(r + 1)**2
Let v(y) = 3*y**2 + 12*y - 31. Let g(s) = -1. Let d(r) = 5*g(r) + v(r). Determine i, given that d(i) = 0.
-6, 2
Factor -40 + 14/9*a**2 - 16/3*a + 2/9*a**3.
2*(a - 5)*(a + 6)**2/9
Let i = 3 - 1. Let q = 26 + -18. Suppose 4*g**5 + 5*g**3 - 5*g**i - 9*g**3 - 3*g**2 + q*g**4 = 0. Calculate g.
-2, -1, 0, 1
Let l = -1941/2 - -975. Factor 0*w - 3/8*w**5 + 0 - 9/4*w**4 - 3*w**2 - l*w**3.
-3*w**2*(w + 2)**3/8
Let v(p) be the third derivative of p**7/105 + 7*p**6/180 - p**5/15 - 93*p**2. Factor v(y).
2*y**2*(y + 3)*(3*y - 2)/3
Suppose 0 = 2*b + 3*b - 10. Suppose 3*i - 5 = -4*h + 7, -b*i = -h - 8. Factor h + 1/2*q + 1/2*q**4 - 1/2*q**3 - 1/2*q**2.
q*(q - 1)**2*(q + 1)/2
Let a = -670 + 673. Factor -1/3*w**4 - 10/3*w**a - 11*w**2 - 40/3*w - 16/3.
-(w + 1)**2*(w + 4)**2/3
Let l = -182 - -729/4. Let z(o) be the first derivative of 1/4*o**4 + 1/2*o**2 + 1/2*o**3 + l*o - 2 + 1/20*o**5. Suppose z(r) = 0. What is r?
-1
Let c(q) = 8*q**2 + 228*q - 5398. Let z(g) = -g**2 - 2*g - 1. Let k(h) = -c(h) - 10*z(h). Solve k(r) = 0 for r.
52
Let o(p) = 8*p**2 + 26*p - 33. Let v(w) = 3*w**2 + 9*w - 12. Let j(n) = -6*o(n) + 17*v(n). Factor j(b).
3*(b - 2)*(b + 1)
Let s(a) be the third derivative of 0*a + 1/12*a**5 + 0 + 37*a**2 + 5*a**3 + 35/24*a**4. Factor s(i).
5*(i + 1)*(i + 6)
Let g = -25 - -17. Let w be (8/(-6) + 1)*g. Let -40/3*c - w - 18*c**2 + 8*c**5 + 64/3*c**4 + 14/3*c**3 = 0. Calculate c.
-2, -2/3, -1/2, 1
Find q, given that 11 + 8 + 19*q + q**2 - 1 + 0 = 0.
-18, -1
Let w(u) = -2*u**2 - 4*u. Let s(q) = q**2 - q - 1. Let x(h) = -2*h**2 + 3*h. Let g be x(2). Let t(c) = g*w(c) + 4*s(c). Factor t(m).
4*(m + 1)*(2*m - 1)
Factor -2*o + 1/2*o**4 - 15/2*o**2 + 10 - o**3.
(o - 5)*(o - 1)*(o + 2)**2/2
Let g = 509 - 1526/3. Let f = -1/79 + 161/237. Factor 1/3*b**3 - f*b**2 + g*b + 0.
b*(b - 1)**2/3
Factor 2/9*q + 0 + 2/9*q**2.
2*q*(q + 1)/9
Suppose 42*j - 45 = 39. Let r(n) be the second derivative of -1/5*n**3 + 0*n**4 + 0 - 3*n + 2/5*n**j + 1/50*n**5. Solve r(y) = 0.
-2, 1
Suppose -11 - 24 = -5*i. Suppose -3*r = 5*x - 26, -2*r - 3 = -i. Let d**2 - 2*d**2 + 4*d**2 - d**3 - x = 0. What is d?
-1, 2
Let z(p) = -3*p**4 + 2*p**3 + p. Let n(q) = -7*q**4 + q**3 + 6*q. Let l(d) = 2*n(d) - 4*z(d). What is f in l(f) = 0?
-2, 0, 1
Let m be (-161)/(-46)*((2 - -2) + (-161)/98). Factor -9/4 + 3*q**2 - m*q.
3*(q - 3)*(4*q + 1)/4
Let h be 4 + -1 - 18/6. Let f(y) = -y**2 + 3. Let n be f(h). Factor 6*i**n - 2*i**2 - i**2 - 2*i - i + 0*i**2.
3*i*(i - 1)*(2*i + 1)
Find j, given that -12*j + 0*j**3 - 9*j + 3*j**3 + 12*j + 6 = 0.
-2, 1
Let n(w) be the first derivative of 1/27*w**6 - 2/9*w**2 - 10/27*w**3 - 1/6*w**4 + 2/45*w**5 + 15 + 0*w. Factor n(c).
2