t i(b) be the first derivative of -b**4/54 - 2*b**3/27 + 8*b**2/9 + 25*b + 7. Let v(f) be the first derivative of i(f). Factor v(p).
-2*(p - 2)*(p + 4)/9
Let y(l) be the second derivative of 0 - 1/4*l**5 - 5/12*l**4 + 0*l**2 + 5/3*l**3 + 11*l. Suppose y(v) = 0. What is v?
-2, 0, 1
Let t(l) be the third derivative of -l**5/40 + l**4/8 + 4*l**2 + 17. Find i such that t(i) = 0.
0, 2
Let z(v) = -v**3 - 6*v**2 - v - 2. Suppose 5*s - 36 + 11 = 0, -4*h - 44 = -4*s. Let w be z(h). What is l in 2*l**3 - 5*l**4 + w*l**4 - 4*l**3 - l**2 = 0?
-1, 0
Let p be 1 + 507/(-459) - ((-880)/198)/20. Factor -2/17*n**4 - 2/17*n**5 + 0 + p*n**2 + 2/17*n**3 + 0*n.
-2*n**2*(n - 1)*(n + 1)**2/17
Let y(c) = -c**2 - 21*c + 34. Let i be y(-27). Let h be (-85)/(-34)*i/(-50). Factor 14/5*j**3 + 4/5 + h*j**2 + 22/5*j.
2*(j + 1)**2*(7*j + 2)/5
Suppose 2*b - 3*b - 7 = 0. Let d = b + 9. Factor -11*c**5 + 0*c**4 + c**4 + c**4 + 4*c**3 + 2 - 4*c**d + 9*c**5 - 2*c.
-2*(c - 1)**3*(c + 1)**2
Factor 149*m - 266*m + 143*m + 2*m**2.
2*m*(m + 13)
Factor 2/17*r**3 + 36/17*r**2 + 0 - 38/17*r.
2*r*(r - 1)*(r + 19)/17
Factor -11/4*m - 15/4*m**2 + 6 + 1/2*m**3.
(m - 8)*(m - 1)*(2*m + 3)/4
Let h(v) be the second derivative of 5*v + 3/2*v**3 + 0 + 1/4*v**4 + 3*v**2. Solve h(b) = 0 for b.
-2, -1
Let q = 29/54 - 1/27. Let w(u) = -u**2 + 11*u - 8. Let h be w(10). Let q - 1/2*s**h + 0*s = 0. What is s?
-1, 1
Let n(u) = -6*u**4 - 206*u**3 - 2700*u**2 - 2502*u. Let g(r) = 13*r**4 + 413*r**3 + 5400*r**2 + 5005*r. Let b(l) = -2*g(l) - 5*n(l). Let b(o) = 0. Calculate o.
-25, -1, 0
Let h(y) be the third derivative of -y**5/60 + 2*y**3/3 - y**2 - 187*y. Factor h(b).
-(b - 2)*(b + 2)
Let j(m) be the first derivative of -2*m**7/21 + m**6/10 + 2*m**5/15 + 9*m**2/2 - 1. Let f(h) be the second derivative of j(h). Suppose f(y) = 0. What is y?
-2/5, 0, 1
Let w(c) be the third derivative of 0*c**3 + 0*c**4 - 1/1470*c**7 + 18*c**2 - 1/420*c**5 + 0*c + 1/420*c**6 + 0. Find g, given that w(g) = 0.
0, 1
Let c = -105 - -5777/55. Let p(s) be the first derivative of 8/33*s**3 + 0*s**2 - c*s**5 + 0*s + 0*s**4 + 10. Factor p(k).
-2*k**2*(k - 2)*(k + 2)/11
Suppose 3*q + 8*h - 4*h = 0, h + 23 = 5*q. Let r be -3 + 1504/84 + (-3)/9. Solve 6/7*n - r*n**3 - 4/7 - 64/7*n**q + 96/7*n**5 + 68/7*n**2 = 0.
-1, -1/4, 1/4, 2/3, 1
Suppose 16*z - 53 + 21 = 0. Let r(i) be the first derivative of 0*i + 3 + 0*i**z + 1/2*i**3 + 3/8*i**4. Determine p so that r(p) = 0.
-1, 0
Let p = -4 - -17. Solve p - 5*t - t**2 + t - 8 = 0.
-5, 1
Suppose -18 + 8 = -5*g. Suppose -5*f + 13 = -n, -2*n = -5*n - g*f + 12. Find c, given that 3*c + 11/4*c**n - 3/4*c**4 + 1/4*c**3 - 1/4*c**5 + 1 = 0.
-2, -1, 2
Let r be 2/(-7)*(-15)/360. Let d(n) be the third derivative of -3*n**2 + 1/210*n**5 - r*n**4 + 0*n + 0 + 0*n**3. Let d(a) = 0. Calculate a.
0, 1
Let s(r) be the second derivative of 1/5*r**5 + 54*r - r**4 + 6*r**2 + 0 - 2/3*r**3. Factor s(q).
4*(q - 3)*(q - 1)*(q + 1)
Let y be ((-16)/2)/((-6)/9). Let c be y/3 + 33/(-9). Factor -2/3*k**3 + c*k**4 + 0*k**2 + 2/3*k - 1/3.
(k - 1)**3*(k + 1)/3
Let d(h) be the first derivative of h**5/90 - h**4/54 - 2*h**3/27 - 4*h + 13. Let g(w) be the first derivative of d(w). Determine j so that g(j) = 0.
-1, 0, 2
Let k be 8*(10 + 868/(-88)). Let n = -2022/11 + 184. Solve -8/11*t**3 - n*t**4 - k*t**2 - 2/11 - 8/11*t = 0.
-1
Let u(f) be the third derivative of 333*f**7/56 - 573*f**6/32 + 163*f**5/8 - 245*f**4/24 + 5*f**3/3 + 133*f**2. Solve u(p) = 0 for p.
2/37, 1/3, 2/3
Suppose -g + 2*g - 3 = -2*q, -2*q - 3*g + 1 = 0. Let n(o) be the first derivative of 1/9*o**3 + 1/2*o**q + 4 + 2/3*o. Let n(w) = 0. What is w?
-2, -1
Let j be -1 - 1 - (-4 + 3 + -3). Let g(d) be the first derivative of -2 + 2/15*d**3 + 0*d + 1/10*d**j + 1/20*d**4. Suppose g(h) = 0. Calculate h.
-1, 0
Let c(h) = 2*h - 35. Let g be c(19). Factor -g*f**3 + 3*f**2 - 5*f**3 + 11*f**3 + 9 - 15*f.
3*(f - 1)**2*(f + 3)
Let b(a) = a**2 + 8*a + 10. Let t = 16 + -23. Let v be b(t). Factor -1/5*y + 0*y**v + 2/5*y**4 + 1/5*y**5 - 2/5*y**2 + 0.
y*(y - 1)*(y + 1)**3/5
Suppose -26 = -5*d + 5*j + 9, -d = j - 15. Let r be 94/18*-2*(-33)/d. Suppose -32*u**4 + 104/3*u**3 + 8*u - 128/3*u**5 + r*u**2 + 2/3 = 0. What is u?
-1, -1/4, 1
Let m(z) = -z**5 + z**4 - z**2 - z + 1. Let b(t) = t - 6*t**2 + 2*t**5 - 3*t + 6*t**4 + t**3 - 6*t**3 + t**3 + 2. Let w(u) = -b(u) + 2*m(u). Factor w(k).
-4*k**2*(k - 1)*(k + 1)**2
Let k(z) = -2*z**3 - 6*z**2 + 4. Let s be k(-3). Let o = 7 + -2. Find v such that -4*v**4 - 9*v**2 - v**5 - 6*v + 10*v**s + 10*v**3 - 3*v**o + 4 - v**2 = 0.
-1, 1/2, 1, 2
Let m be 10/45*-3*-126. Let k be (m/27 - 3)/((-2)/(-6)). Find u such that -2/3*u**2 - 1/3*u - k*u**3 + 0 = 0.
-1, 0
Let a(g) = -2*g - 10. Let r be a(-6). Let s = -3/2 + r. Suppose -s*t - 1/2*t**3 + 0 + t**2 = 0. What is t?
0, 1
Let v(j) be the third derivative of 19*j**5/390 - 3*j**4/13 - 4*j**3/39 - 41*j**2. Determine l, given that v(l) = 0.
-2/19, 2
Let z be (-38)/(-9) - ((-129)/27 + 5). Suppose 2*m - 3 = 1. Suppose m*r + 5*r**2 + 4*r + 2*r - 5*r**z - 5*r**3 - 3*r = 0. Calculate r.
-1, 0, 1
Let i = -38 + 22. Let v be i/(-72) - 6/27. Factor -4/3*c**5 + 1/3*c**4 + 0*c**2 + v*c**3 + 0 + 0*c.
-c**4*(4*c - 1)/3
Let n be 8 + (-570)/63 - (3 + 26/(-6)). Factor 2/7*d + 4/7 - n*d**2.
-2*(d - 2)*(d + 1)/7
Let d = -1 + 3. What is g in 8*g**2 - 8*g - 5*g**2 + 5*g**d + 34*g + 6 = 0?
-3, -1/4
Solve -5574/5*l**2 - 23616/5*l + 2/5*l**5 - 13824/5 + 38*l**4 + 4406/5*l**3 = 0 for l.
-48, -1, 3
Let n(m) = -4*m**2 - 65*m + 156. Let v(x) = -x**2 - 21*x + 52. Let q(r) = -2*n(r) + 7*v(r). Determine j so that q(j) = 0.
4, 13
Let w = 35 - 36. Let l(p) = -4*p**3 + 2*p**2 + 2*p + 1. Let a be l(w). Factor 0 - 2/5*n**a - 6/5*n**4 - 2/5*n**2 - 6/5*n**3 + 0*n.
-2*n**2*(n + 1)**3/5
Let f(u) = 5*u**2 - 718*u + 42485. Let n(j) = 81*j**2 - 11490*j + 679761. Let m(b) = 33*f(b) - 2*n(b). Factor m(o).
3*(o - 119)**2
Let v be (4/6)/((-25)/(-15))*5. Let -17*l**2 + 244 + 7*l**5 + 21*l**4 - 16*l + 7*l**3 - 248 + v*l**5 = 0. Calculate l.
-1, -2/3, 1
Factor 3/2*v**3 + 18 - 3/2*v**2 - 12*v.
3*(v - 2)**2*(v + 3)/2
Factor -1/7*w - 1/7*w**5 + 0 + 0*w**4 + 2/7*w**3 + 0*w**2.
-w*(w - 1)**2*(w + 1)**2/7
Factor -549095*k**2 - 79*k**3 - 120472576*k - 2006*k**3 - 1051*k**3 - 4*k**4 - 372889*k**2 - 5903156224.
-4*(k + 196)**4
Let p(u) be the second derivative of -2/7*u**2 - 1/294*u**7 - 1/30*u**6 - 8/21*u**3 + 44*u + 0 - 19/140*u**5 - 25/84*u**4. Factor p(m).
-(m + 1)**3*(m + 2)**2/7
Let g be (-86)/(-40) + 30 + -32. Let l(a) be the second derivative of -1/4*a**4 + 1/2*a**3 + 3/2*a**2 + 0 - g*a**5 - 5*a. Factor l(r).
-3*(r - 1)*(r + 1)**2
Suppose 3*a + 2*a - 2*j = 30, -a - 3*j - 11 = 0. Solve 4*z**a - 229 + z**4 - 40*z**2 + 309 = 0.
-2, 2
Let o(w) be the first derivative of w**5/35 + w**4/3 + 10*w**3/7 + 18*w**2/7 + 6*w - 37. Let g(l) be the first derivative of o(l). Suppose g(v) = 0. What is v?
-3, -1
Factor 1/3*v**2 + 28/3*v - 29/3.
(v - 1)*(v + 29)/3
Let p(x) be the first derivative of 0*x**4 + 6 + 0*x - 1/15*x**5 + 0*x**3 + 0*x**2. Factor p(l).
-l**4/3
Let w(k) be the first derivative of -k**6/5 - 64*k**5/25 - 19*k**4/2 - 20*k**3/3 + 43. Determine v so that w(v) = 0.
-5, -2/3, 0
Let g be (14 - 0) + -12 + 10. Factor -3*i**3 - 2*i**4 + g*i**2 - 2*i**4 + 7*i + 5*i + i**4.
-3*i*(i - 2)*(i + 1)*(i + 2)
Let s(m) = -m**2 + 10*m. Let k(p) = -39*p + 11. Let b(a) = -8*a + 2. Let i(d) = 11*b(d) - 2*k(d). Let v(f) = 6*i(f) + 5*s(f). Factor v(h).
-5*h*(h + 2)
Let r(m) = 5*m**2 - 138*m - 2895. Let s(i) = 2*i**2 - 70*i - 1447. Let a(f) = 3*r(f) - 7*s(f). Factor a(t).
(t + 38)**2
Let j = 4001/25 - 160. Let f(g) be the second derivative of 1/15*g**3 - 8*g - j*g**5 + 0 + 7/60*g**4 + 0*g**2. Factor f(t).
-t*(t - 2)*(4*t + 1)/5
Factor -1/4 + 1/4*h**2 + 0*h.
(h - 1)*(h + 1)/4
Suppose 3*b = w + 16, 3*w + 3*b = -w + 11. Let x(y) = -5*y. Let k be x(w). Suppose l**2 - 3*l**3 - l**5 + 0*l**3 - k*l**4 + 8*l**4 = 0. What is l?
0, 1
Let m(p) = 10*p**2 + 18*p - 6. Let l(w) = -6*w**2 - 9*w + 3. Let c(z) = 7*l(z) + 3*m(z). Factor c(s).
-3*(s + 1)*(4*s - 1)
Let y be 76/30 - 4/(-6). Let x = -43871/5 - -8775. Factor y*h - 7/5*h**3 - x - h**2.
-(h - 1)*(h + 2)*(7*h - 2)/5
Suppose -p = -a - 4, -3*p - 2*p + 11 = 4*a. Let r(y) be the second derivative of -1/6*y**4 + 2/3*y**p + 0 - y**2 - 4*y. 