t n(z) be the third derivative of z**5/110 + 133*z**4/22 - 267*z**3/11 - 12*z**2 - 42*z. Factor n(l).
6*(l - 1)*(l + 267)/11
Suppose -2*s = 2, 2*c + 2*c - 67 = -5*s. Let -4*k - c - 18 + 37*k**3 - 45*k**4 + 36 + 12*k**2 = 0. Calculate k.
-2/5, 0, 2/9, 1
Let w(r) be the second derivative of -2*r - 1/60*r**4 + 0*r**2 + 0 + 0*r**5 - 1/2*r**3 + 1/900*r**6. Let f(y) be the second derivative of w(y). Factor f(b).
2*(b - 1)*(b + 1)/5
Let j(i) be the second derivative of i**5/50 + 3*i**4/10 + 2*i**3/5 - 16*i**2/5 + 2*i - 21. Solve j(n) = 0 for n.
-8, -2, 1
Let j be 3/3 + (-314)/(-8). Let t = j + -40. Find z, given that 0 - t*z**4 + 0*z - 1/2*z**2 + 3/4*z**3 = 0.
0, 1, 2
Let b(k) be the first derivative of k**6/4 - 27*k**5/10 + 9*k**4 - 8*k**3 + 168. Solve b(a) = 0 for a.
0, 1, 4
Let b(i) be the third derivative of 0*i**3 + 0*i + 0 + 15*i**2 + 1/150*i**5 - 1/20*i**4. What is h in b(h) = 0?
0, 3
Let v(o) be the second derivative of -o**4/84 - 11*o**3/7 - 1089*o**2/14 + 191*o + 2. Factor v(q).
-(q + 33)**2/7
Let w(m) = 5*m**2 - 40*m - 455. Let a(l) = -3*l**2 + 20*l + 227. Let p(x) = 5*a(x) + 2*w(x). Let p(s) = 0. Calculate s.
-5, 9
Let a(w) = -w**2 + 4*w - 2. Let i be a(4). Let g(v) = -4*v**3 + 3*v**2 + 4*v - 1. Let h(b) = -3*b**3 + 3*b**2 + 3*b. Let o(l) = i*h(l) + 3*g(l). Factor o(r).
-3*(r - 1)*(r + 1)*(2*r - 1)
Suppose 10*w = -1901 - 719. Let z = -1818/7 - w. Solve -40/7*f**2 - 10/7*f**5 + 34/7*f**4 + 0 - 12/7*f**3 + z*f = 0 for f.
-1, 0, 2/5, 2
Let c(h) be the second derivative of h**5/30 - h**4/6 - h**3 - h**2 + 32*h. Let o(w) be the first derivative of c(w). Solve o(z) = 0.
-1, 3
Let q(v) be the second derivative of v**5/35 + 3*v**4/7 - 2*v**3 + 22*v**2/7 + 8*v + 40. Factor q(s).
4*(s - 1)**2*(s + 11)/7
Find j, given that 0 - 136/11*j**3 + 0*j + 1/11*j**4 + 4624/11*j**2 = 0.
0, 68
Let y(j) be the third derivative of 3*j**6/160 + j**5/10 + j**4/8 + 21*j**2. Solve y(s) = 0 for s.
-2, -2/3, 0
Let n(o) = 129*o**2 - 450*o + 96. Let g(m) = -26*m**2 + 90*m - 19. Suppose 2*f + 4 = 14. Let s(d) = f*n(d) + 24*g(d). Factor s(y).
3*(y - 4)*(7*y - 2)
Let v(a) be the second derivative of -a**5/30 + 25*a**4/9 - 572*a**3/9 - 1352*a**2/3 - 216*a. Factor v(d).
-2*(d - 26)**2*(d + 2)/3
Let x(g) be the second derivative of -g**7/462 - g**6/165 + g**5/55 + 2*g**4/33 + 25*g. Suppose x(o) = 0. What is o?
-2, 0, 2
Factor 1/3*l**2 + 0 - 7/3*l**4 + 10/3*l**3 - 4/3*l.
-l*(l - 1)**2*(7*l + 4)/3
Suppose 144*v + t + 3 = 143*v, 4*t = 2*v - 48. Find m such that -3/2*m**4 + 3*m + v*m**2 - 3*m**3 - 9/2 = 0.
-3, -1, 1
Let b(y) be the first derivative of -15/4*y**4 + 0*y - 5*y**3 + 5 - y**5 - 5/2*y**2. Factor b(m).
-5*m*(m + 1)**3
Let v(l) = 2*l**2 - 25*l - 87. Let n(a) = -3*a**2 + 48*a + 173. Let c(b) = 3*n(b) + 5*v(b). Factor c(h).
(h + 7)*(h + 12)
Let a(b) be the third derivative of -1/42*b**7 + 1/24*b**6 - 5/336*b**8 + 0*b**4 - 45*b**2 + 0*b + 0 + 1/12*b**5 + 0*b**3. Factor a(z).
-5*z**2*(z - 1)*(z + 1)**2
Let y = -15 - -9. Let a be y*(-4)/6 - 2. Factor 0*c**2 - 14*c**4 + 3*c**a - 6*c**3 + 17*c**4.
3*c**2*(c - 1)**2
Suppose 4*a - 4*f = 0, 2*a + 0*f = 4*f. Factor 0 + 0*k**2 - 3/2*k**3 - 1/2*k**4 + a*k.
-k**3*(k + 3)/2
Let h(t) be the second derivative of 2*t**7/399 - t**6/19 - 37*t**5/95 - 41*t**4/114 + 28*t**3/19 + 44*t**2/19 + 38*t - 1. Suppose h(f) = 0. Calculate f.
-2, -1/2, 1, 11
Factor -9*b**2 + 12*b**2 - 7*b**2 - 53*b - 3*b.
-4*b*(b + 14)
Let l be 14/4*48/3360. Let d(a) be the second derivative of -4*a + 0*a**2 - 3/100*a**5 - 1/30*a**3 + 0 - 1/150*a**6 - l*a**4. Factor d(v).
-v*(v + 1)**3/5
Let y(o) be the third derivative of -13/480*o**6 - 7*o**2 - 13/240*o**5 + 2/105*o**7 + 1/6*o**4 - 1/336*o**8 + 0*o + 0 - 1/6*o**3. Determine j so that y(j) = 0.
-1, 1/2, 2
Let r be ((-10)/(-35))/(65/(-35)) + (-408)/(-117). Find g such that r*g + 2/3*g**2 + 4 = 0.
-3, -2
Let l(f) be the first derivative of -2*f**3/3 - 5*f**2 + 28*f - 73. Determine p so that l(p) = 0.
-7, 2
Let l(o) be the first derivative of -2*o**6/15 + 5*o**4/3 - 8*o**2 - 24*o - 5. Let j(t) be the first derivative of l(t). Let j(s) = 0. What is s?
-2, -1, 1, 2
Suppose 5*n = 3*j + 25, n - 4*j - 12 = 10. Let c = 6 - n. Determine i, given that 18*i**c - 14*i**5 + 3*i**3 + 4*i + 5*i**3 + 2*i**3 - 18*i**2 = 0.
-1, 0, 2/7, 1
Suppose 18/5 + 0*g - 2/5*g**2 = 0. What is g?
-3, 3
Let p(t) be the first derivative of -5*t**6/6 + 45*t**4/4 - 20*t**3/3 - 30*t**2 + 260. Determine j, given that p(j) = 0.
-3, -1, 0, 2
Let w(s) be the first derivative of -s**5/2 - 235*s**4/4 - 2480*s**3 - 81685*s**2/2 - 148955*s/2 + 839. Solve w(v) = 0.
-31, -1
Factor 197 + 193 - 282 + 111*b + 3*b**2.
3*(b + 1)*(b + 36)
Let m be (-1)/((9/(-18))/((-5)/(-2))). Determine x so that -27*x + 179*x + m*x**3 - 77*x + 19*x**2 + 16*x**2 + 45 = 0.
-3, -1
Let w = 239/665 - 7/95. Let i be 1/(-7) + (-4)/(-14). Factor 0 + i*o + 1/7*o**3 + w*o**2.
o*(o + 1)**2/7
Let i(p) be the first derivative of -5*p**2 + 2*p - 21. Let o(l) = -l**2 - 51*l + 11. Let u(q) = -11*i(q) + 2*o(q). Factor u(k).
-2*k*(k - 4)
Let j = -1239 - -1242. Let p(t) be the first derivative of -3/2*t**4 - 4/9*t**j - 14/15*t**5 - 3 + 0*t + 0*t**2. Find x, given that p(x) = 0.
-1, -2/7, 0
Suppose -2/3*s**2 - 10658/3 + 292/3*s = 0. Calculate s.
73
Let n be (2 - 4/3)*18. Suppose -n = -4*o - 0. Solve 26*m**2 - 3 + 6 + 3*m**4 - 13*m**3 - 12*m - 8*m**2 + m**o = 0.
1
Let k(d) be the first derivative of 3*d**5/25 - d**3/5 - 95. Factor k(v).
3*v**2*(v - 1)*(v + 1)/5
Let l = 5 - -17. Let d be (105/330 - (-4)/l)*0. Let -1/3*q**2 + d + 1/3*q**4 + 0*q**3 + 0*q = 0. Calculate q.
-1, 0, 1
Let -21*o**2 + 139301*o - 139301*o - 3*o**4 + 24*o**3 = 0. What is o?
0, 1, 7
Let s(a) be the second derivative of -a**4/18 - 4*a**3/9 + 4*a**2 - 134*a. Find k, given that s(k) = 0.
-6, 2
Factor -2/11*v**2 - 10/11*v - 12/11.
-2*(v + 2)*(v + 3)/11
Let a(k) be the third derivative of -k**5/30 - 13*k**4/12 - k**2 - 8*k. Suppose a(w) = 0. What is w?
-13, 0
Let w(a) = 3*a**2 + 9*a. Let l(i) = i. Let m(b) = -b**2 + 8*b - 8. Let c be m(7). Let k(t) = c*w(t) + 6*l(t). Suppose k(o) = 0. Calculate o.
-1, 0
Let z be 1 + 6/10*5. Factor 3 + 2*o**3 - 7*o + 1 + 17*o**4 - 6*o**2 + 5*o - 15*o**z.
2*(o - 1)**2*(o + 1)*(o + 2)
Let 2/9*l**2 - 20/9 + 2/3*l = 0. Calculate l.
-5, 2
Suppose -o + 6 = 4*x - 0, -5*x + 11 = 3*o. Let h = 10134 + -60803/6. Solve h*m**o + 1/6*m + 0 = 0.
-1, 0
Suppose 2*o = -0 + 4. Let y(x) be the first derivative of 9*x + 2*x**2 + 5*x**2 - x**3 - 4*x**o - 3. Determine g, given that y(g) = 0.
-1, 3
Let h = -40027 + 40030. Factor 2/3 - 1/6*d**h + 1/3*d**2 + 7/6*d.
-(d - 4)*(d + 1)**2/6
Let y(k) = -4*k**2 + 106*k + 78. Let m(u) = -u + 13. Let s(n) = -6*m(n) + y(n). Factor s(b).
-4*b*(b - 28)
Let z(b) be the first derivative of -b**2/2 - 15. Let q(s) = 5*s**2 - 13*s - 20. Let r(t) = -q(t) - 2*z(t). Factor r(c).
-5*(c - 4)*(c + 1)
Suppose 9*t = 13*t - 12. Factor 7*a - 11*a + 8*a + t*a**2 + 8 - 7*a**2.
-4*(a - 2)*(a + 1)
Factor -1/3*z**2 + 21 + 62/3*z.
-(z - 63)*(z + 1)/3
Factor 13*b**3 + 274*b - 42 - 87 - 15*b**3 - 9 - 134*b**2.
-2*(b - 1)**2*(b + 69)
Suppose 15 = 3*o - 2*y, 2*o = 2*y + 6 + 4. Solve -12*k**2 + 6*k**2 + o*k**3 + 7*k + 3*k + 21*k**2 = 0.
-2, -1, 0
Let x(a) be the third derivative of 5*a**4/8 - a**3/2 + 12*a**2. Let t be x(1). Suppose -6 - t*n + 3*n + 75*n**2 - 78*n**2 = 0. What is n?
-2, -1
Let u(d) be the second derivative of 2*d**7/21 + 8*d**6/15 - 18*d**5/5 + 20*d**4/3 - 14*d**3/3 + 3*d + 5. Factor u(i).
4*i*(i - 1)**3*(i + 7)
Let i(j) = 2*j**4 - 20*j**3 + 8*j**2 - 24*j + 14. Let t = 15 + -5. Let w(x) = -x**3 - x**2 - x + 1. Let h(f) = t*w(f) - i(f). Factor h(g).
-2*(g - 2)*(g - 1)**3
Let u = -55 + 119/2. Let z = -10/359 + 419/2154. Factor -3/2*f**2 - 9/2*f - z*f**3 - u.
-(f + 3)**3/6
Let b be 40/5 - 4/1. Suppose b*i**2 + 3*i**3 + 0*i**3 - 4*i**3 - 4*i = 0. Calculate i.
0, 2
Let o(z) = -294*z - 586. Let s be o(-2). Determine f so that 9/8*f**3 + 3/2*f + 0 + 21/8*f**s = 0.
-4/3, -1, 0
Factor 11*u - 31*u**2 - 21*u - 15*u + 30 + 5*u**4 + 116*u**2 - 60*u - 35*u**3.
5*(u - 3)*(u - 2)*(u - 1)**2
Let n(f) be the first derivative of -4*f**2 + 16 - 2*f**4 + 4*f**3 + 2*f + 2/5*f**5. Let n(d) = 0. What is d?
1
Factor -38/3*b + 0 - 40/3*b**2 - 2/3*b**3.
-2*b*(b + 1)*(b + 19)/3
Factor 57117/2*c**2 + 2 - 56169/2*c**3 - 476*c.
-(