et o(f) = 2*d(f) - 5*r(f). Solve o(z) = 0 for z.
2, 8
Let l be (34/51)/(0 - 1/(-3)). Let y(v) = v**2 - v - 8. Let o be y(4). Factor -6*z + 5*z**4 + 15*z**l - z**4 - z**o - 12*z**3.
3*z*(z - 2)*(z - 1)**2
Let -9/5 - 8/5*y + 1/5*y**2 = 0. Calculate y.
-1, 9
Let l(q) be the second derivative of -3*q + 1/24*q**4 + 0 + 1/80*q**5 + 0*q**3 + 0*q**2. Suppose l(p) = 0. Calculate p.
-2, 0
Factor -11/2*k + 3 + 2*k**2 + 1/2*k**3.
(k - 1)**2*(k + 6)/2
Let c(h) be the third derivative of 0 + 0*h**3 - 9*h**2 + 0*h - 1/8*h**4 + 1/20*h**5. Let c(n) = 0. What is n?
0, 1
Let f = 17136979/315 - 54403. Let p = f + 8/45. Factor 2/7*o**3 - 2/7*o - 2/7 + p*o**2.
2*(o - 1)*(o + 1)**2/7
Let s be (-2)/(-30)*20/6. Let -8/9*d + s*d**2 + 2/3 = 0. Calculate d.
1, 3
Let v be 3*((-12)/(-4))/(27/15). Let d(b) be the third derivative of 3/8*b**4 + 4*b**2 + 0*b + 1/40*b**6 - 1/2*b**3 + 0 - 3/20*b**v. Factor d(h).
3*(h - 1)**3
Factor 0 - 1/3*w - 1/9*w**4 - 7/9*w**2 - 5/9*w**3.
-w*(w + 1)**2*(w + 3)/9
Suppose -28 = 90*a - 97*a. Let r(k) be the second derivative of 1/12*k**2 + 1/36*k**3 + 0 - 1/72*k**a - 4*k - 1/120*k**5. Suppose r(j) = 0. What is j?
-1, 1
Let w = -1232 - -1236. Let g(i) be the third derivative of 0 - 5*i**2 - 1/60*i**6 + 2/3*i**3 - 1/105*i**7 + 1/10*i**5 + 0*i + 5/12*i**w. Factor g(s).
-2*(s - 2)*(s + 1)**3
Let g(b) be the first derivative of b**7/210 + b**6/45 - b**5/30 - b**4/3 - 35*b**3/3 + 18. Let l(a) be the third derivative of g(a). Factor l(c).
4*(c - 1)*(c + 1)*(c + 2)
Let p be (-2 - (7 + -9)) + 15/25. Factor -6/5*w**3 + 0 + 0*w - 3/5*w**4 - p*w**2.
-3*w**2*(w + 1)**2/5
Let b be (-144)/36*(-1)/(-2)*-1. Let j(g) be the second derivative of 0 + 0*g**3 + 1/150*g**6 + 1/30*g**4 - 3/100*g**5 - 7*g + 0*g**b. Factor j(c).
c**2*(c - 2)*(c - 1)/5
Let g(b) be the second derivative of 5/12*b**3 + 1/8*b**4 + 12*b + 1/2*b**2 - 1/60*b**6 + 0 - 1/40*b**5. Factor g(q).
-(q - 2)*(q + 1)**3/2
Let n = -4 - -10. Suppose 0*a - 18 = -n*a. Factor k**2 - 2*k - a*k**2 + 8*k - 2*k.
-2*k*(k - 2)
Let y(l) = -2*l**2 + l - 2. Let v(r) = -17*r**2 - 29*r + 343. Let h(s) = -4*v(s) + 36*y(s). Factor h(b).
-4*(b - 19)**2
Let u(d) be the first derivative of d**4/10 + 8*d**3/15 - d**2/5 - 8*d/5 + 218. Factor u(h).
2*(h - 1)*(h + 1)*(h + 4)/5
Let r be (6/9)/(6 + -4)*(-15)/(-10). Factor 4*h**2 + 3 - 13/2*h - r*h**3.
-(h - 6)*(h - 1)**2/2
Let x(o) be the third derivative of 1/72*o**4 - 1/630*o**7 + 0*o - 29*o**2 + 0*o**3 + 0 - 1/360*o**6 + 1/180*o**5. Factor x(q).
-q*(q - 1)*(q + 1)**2/3
Let r(a) = 10*a**5 + 17*a**4 + 43*a**3 + a**2 - 18*a - 18. Let i(m) = 3*m**5 + 6*m**4 + 14*m**3 - 7*m - 6. Let l(v) = 7*i(v) - 2*r(v). Factor l(j).
(j - 1)*(j + 1)**3*(j + 6)
Suppose 4*u + 6 - 22 = 0. Suppose -12*y + u = -10*y. Factor 17*l - 2 + 2*l**y - 13*l + 6 - 10*l.
2*(l - 2)*(l - 1)
Let k(v) be the third derivative of v**6/40 + 11*v**5/50 + 23*v**4/40 + 3*v**3/5 - 8*v**2 + 4*v. Factor k(x).
3*(x + 1)*(x + 3)*(5*x + 2)/5
Let q(z) be the first derivative of -2/3*z**2 + 10 + 0*z - 4/9*z**3 - 1/12*z**4. Let q(u) = 0. Calculate u.
-2, 0
Let k be 9 - 2/((-6)/(-3) - 0). Let h be 6/k + (-145)/(-116). Suppose -4*w**h + 8/3*w - 2/3 + 8/3*w**3 - 2/3*w**4 = 0. What is w?
1
Let q(d) be the second derivative of d**4/8 - 12*d**2 - 42*d. Let q(l) = 0. What is l?
-4, 4
Suppose 6*t - 36 + 3/4*t**4 + 87/4*t**2 + 15/2*t**3 = 0. What is t?
-4, -3, 1
Let h(p) be the second derivative of -22*p**6/3 + 877*p**5/15 - 88*p**4/3 + 40*p**3/9 + p - 43. Suppose h(m) = 0. Calculate m.
0, 2/15, 2/11, 5
Suppose 1262*u - 2*v = 1265*u - 9, 5*v = 4*u - 12. Factor 1/4*a + 1/2*a**2 - 1/4 + 1/4*a**5 - 1/2*a**u - 1/4*a**4.
(a - 1)**3*(a + 1)**2/4
Let u(q) be the first derivative of q**6/15 + 4*q**5/25 - 3*q**4/10 - 8*q**3/15 + 4*q**2/5 - 31. Factor u(r).
2*r*(r - 1)**2*(r + 2)**2/5
Suppose m - 19 = -12. Let v be 52/m + -2 + 12/(-42). Factor -4*c**3 - 8/7*c + v*c**2 + 0.
-4*c*(c - 1)*(7*c - 2)/7
Let z(k) = -k + 2. Let o be z(-6). Let r = o - 0. Factor r*j**2 - 2*j**2 + 3*j**3 - 3 - 3*j - 3*j**2.
3*(j - 1)*(j + 1)**2
Let y(o) be the first derivative of -1/28*o**4 - 15/14*o**2 - 25/7*o + 3/7*o**3 + 3. Factor y(d).
-(d - 5)**2*(d + 1)/7
Let t(f) = f**3 - 13*f**2 + 12*f + 6. Let k be t(12). Let c be 0 - (-3)/(k/4). Let 4*o**4 - o + o**3 + c*o**2 - 3*o**4 - 3*o**2 = 0. Calculate o.
-1, 0, 1
Suppose -36/13 - 16/13*p**2 - 2/13*p**3 - 42/13*p = 0. What is p?
-3, -2
Let c be 15/6*(1012/(-69))/(-44). Factor 1 + c*d - 1/6*d**2.
-(d - 6)*(d + 1)/6
Suppose -5*d - 8 = -128. Factor -3*w**4 - d*w**4 - 3*w**3 + 3 - 18*w + 9*w**3 + 24*w**2 + 12*w**5.
3*(w - 1)**3*(w + 1)*(4*w - 1)
Let j(a) = -a + 14. Let r be j(10). Let s be (3/r)/((-3)/(-12)). Factor -12*c**3 - s*c + 3 + 18*c**2 + 5*c - 14*c + 3*c**4.
3*(c - 1)**4
Let o(x) be the second derivative of -15*x**4/4 + 13*x**3/2 + 3*x**2 + 128*x. Suppose o(t) = 0. Calculate t.
-2/15, 1
Let z(y) be the second derivative of -8*y**6/5 + 37*y**5/5 - 34*y**4/3 + 10*y**3/3 + 8*y**2 + 175*y. Suppose z(f) = 0. What is f?
-1/4, 1, 4/3
Let f(z) be the third derivative of z**5/330 + 7*z**4/44 - 2*z**3/3 - 5*z**2 + 12. Solve f(q) = 0.
-22, 1
Let u(f) be the first derivative of -6*f**4 + 94*f**3/3 - 18*f**2 - 90*f - 441. Solve u(v) = 0 for v.
-3/4, 5/3, 3
Let c(m) be the second derivative of 4*m**2 + 1/6*m**4 + 0 + 4/3*m**3 - 10*m. Suppose c(w) = 0. Calculate w.
-2
Let 6*f + 2*f**3 + 4*f - 11323*f**4 - 47*f**2 + 27*f**3 + 11319*f**4 = 0. What is f?
0, 1/4, 2, 5
Let w(v) be the second derivative of 1/42*v**4 + 2/21*v**3 - 3/7*v**2 + v + 0. Factor w(i).
2*(i - 1)*(i + 3)/7
Let t = -50 - -172. Let v = t - 852/7. Suppose -v*l**2 - 6/7*l + 0 = 0. Calculate l.
-3, 0
Let y(a) be the third derivative of a**7/350 + a**6/200 - 3*a**5/50 - a**4/10 + 4*a**3/5 - 25*a**2 - 2*a. What is s in y(s) = 0?
-2, 1, 2
Let t = -111/4 - -591/20. Factor -t*p - 3/5*p**2 + 0.
-3*p*(p + 3)/5
Let r(d) = d**2 + d + 1. Let s(l) = -36*l**2 - 44*l - 16. Let y = 1 + -2. Let j(q) = y*s(q) - 24*r(q). Solve j(x) = 0 for x.
-2, 1/3
Let r = -277 - -279. Let f(g) be the first derivative of 1/8*g**4 + 0*g + 1/2*g**r - 1/2*g**3 - 3. Determine d, given that f(d) = 0.
0, 1, 2
Factor 3*l**4 + 0*l**4 - 18224*l**3 - 12*l + 18233*l**3.
3*l*(l - 1)*(l + 2)**2
Let p(v) = 20*v - 175. Let o be p(9). Let x(j) be the first derivative of -1/25*j**o + 0*j**2 - 10 + 0*j - 1/20*j**4 + 1/15*j**3 + 1/30*j**6. Factor x(y).
y**2*(y - 1)**2*(y + 1)/5
Let c(t) be the third derivative of -1/2*t**6 + 19*t**2 - 7/6*t**5 + 0*t**3 - 1/21*t**7 + 0*t - 25/24*t**4 + 0 + 5/336*t**8. Determine g so that c(g) = 0.
-1, 0, 5
Let j(r) = 3*r**5 + 7*r**4 - 3*r**3 + 8*r**2 - 5*r. Let q(v) = 8*v**5 + 20*v**4 - 8*v**3 + 22*v**2 - 14*v. Let z(o) = 14*j(o) - 5*q(o). Factor z(a).
2*a**2*(a - 1)**2*(a + 1)
Factor 101/5*h - 22/5 - 86/5*h**2 + 7/5*h**3.
(h - 11)*(h - 1)*(7*h - 2)/5
Let s(n) be the first derivative of 10*n**3 - 25/4*n**4 - 40*n - 16 + n**5 + 10*n**2. Solve s(d) = 0.
-1, 2
Suppose 25 = 7*j - 59. Factor 26*s**4 + 8*s**3 - s**2 - 7*s**2 - 14*s**4 - 4 - j*s + 4*s**5.
4*(s - 1)*(s + 1)**4
What is k in 3163*k + 0*k**3 - 1227*k - 176*k**2 + 4*k**3 = 0?
0, 22
Let o = -4/655 + 227/15720. Let k(j) be the second derivative of o*j**6 + 0 - 1/8*j**2 + 0*j**4 + 1/40*j**5 + j - 1/12*j**3. Factor k(q).
(q - 1)*(q + 1)**3/4
Let f(b) = 10 - 10 - 3*b**2 + 4*b**2. Let d = -21 - -15. Let v(x) = -4*x**2 + 16*x - 4. Let i(t) = d*f(t) + 2*v(t). Factor i(y).
-2*(y - 2)*(7*y - 2)
Let u(d) be the first derivative of -8 - 2/27*d**3 + 1/18*d**4 + 2/45*d**5 + 0*d + 0*d**2 - 1/27*d**6. Factor u(f).
-2*f**2*(f - 1)**2*(f + 1)/9
Let t = 87 + -83. Determine r, given that -t*r**2 + 7*r**4 - 6*r - 4*r**5 + 6*r**4 + 12*r**3 - 2*r - 9*r**4 = 0.
-1, 0, 1, 2
Let z(r) be the third derivative of r**6/300 - r**5/150 - r**4/15 + 4*r**3/15 - r**2 + 2*r. Suppose z(s) = 0. Calculate s.
-2, 1, 2
Let n(m) be the second derivative of -m**3/6 + 9*m**2/2 - 16*m. Let c be n(5). Factor -10/7*f + 2/7*f**c - 4/7 + 2/7*f**3 - 6/7*f**2.
2*(f - 2)*(f + 1)**3/7
Let p be (-10 - -1 - -4)/(-1). Suppose -5*x + 5 = -p*j, -3*x + 13 - 2 = 5*j. What is i in i**2 + 16*i + i**2 + 3*i**x + 4 + 7*i**2 = 0?
-1, -1/3
Let r(u) = -9*u - 2. Let g be r(0). Let b be (7 + -7)*(-1)/g. Factor 4/5*n**4 + b*n**2 - 2/5*n**3 + 0 - 2/5*n**5 + 0*n.
-2*n**3*(n - 1)**2/5
Let u(n) be the s