third derivative of 1/84*z**4 - 7*z**2 + 0 - 2/21*z**3 + 1/210*z**5 + 0*z. Find c such that m(c) = 0.
-2, 1
Let f(q) be the third derivative of -1/32*q**4 + 1/40*q**6 + 0*q**3 + 7*q**2 + 0 - 3/80*q**5 + 0*q. Solve f(v) = 0 for v.
-1/4, 0, 1
Let i = 23 + -21. Let t be 30/(-9)*(-2)/(-6) + i. Factor -40/9*y - 50/9*y**2 - t.
-2*(5*y + 2)**2/9
Let n(l) be the second derivative of l**9/15120 + l**8/6720 - l**7/1260 + l**4/12 + 8*l. Let y(q) be the third derivative of n(q). Factor y(o).
o**2*(o - 1)*(o + 2)
Determine n so that -14*n**3 - 10*n**4 + 15 + 5*n**5 + 40*n**2 - 15 - 6*n**3 = 0.
-2, 0, 2
Let n(x) be the third derivative of -x**6/390 + x**5/390 + 2*x**4/39 - 4*x**3/39 + 13*x**2 + 2*x. Solve n(o) = 0.
-2, 1/2, 2
Let r = 1 - -2. Let f be -2 - (0 - r) - -1. Find b, given that b + 2*b**f - b - b**3 - b = 0.
0, 1
Let d = -166 - -709/4. Let k(m) be the first derivative of -30*m**2 + 18*m**6 + 130/3*m**3 - 27*m**5 + 8*m - 9 - d*m**4. Factor k(c).
(c + 1)*(3*c - 2)**3*(4*c - 1)
Let o(i) be the second derivative of 20*i**2 - i + 0 + 1/6*i**6 + 1/4*i**5 - 10/3*i**3 - 5/2*i**4. Let o(g) = 0. Calculate g.
-2, 1, 2
Let j(a) = 7*a**2 + a + 4. Let c(g) = 1 + 4*g**2 + 0*g**2 + 1 + 0*g**2. Let p(n) = -10*c(n) + 6*j(n). Factor p(m).
2*(m + 1)*(m + 2)
Let o(u) = -6*u**3 + 85*u**2 + 224*u - 336. Let z(x) = x**3 - 17*x**2 - 45*x + 67. Let f(h) = -2*o(h) - 11*z(h). Factor f(q).
(q - 1)*(q + 5)*(q + 13)
Let 0 - 1/4*g**2 + 29/4*g = 0. Calculate g.
0, 29
Let p = -8 - -12. Suppose 4*n + 0*x = 4*x + 4, 0 = p*n + 4*x - 28. Find k such that 0*k**3 + 0*k**3 - 4*k**3 + 2*k**2 - 6*k**4 + 0*k**n = 0.
-1, 0, 1/3
Factor 2/19*y**2 + 62/19*y + 116/19.
2*(y + 2)*(y + 29)/19
Let w(v) be the second derivative of v**6/90 - v**5/12 + v**4/4 - 7*v**3/18 + v**2/3 - 2*v - 45. Factor w(g).
(g - 2)*(g - 1)**3/3
Suppose r + 6 = -4*s, -4*s + 3 = 7. Let d be (-1)/r - 20/(-24). Factor 2 + 2/9*u**2 - d*u.
2*(u - 3)**2/9
Let x(q) be the third derivative of q**6/100 - 6*q**5/25 + 29*q**4/20 - 18*q**3/5 - 139*q**2. Factor x(u).
6*(u - 9)*(u - 2)*(u - 1)/5
Let y(r) be the third derivative of r**7/945 + 11*r**6/270 + 47*r**5/90 + 55*r**4/27 + 100*r**3/27 - 402*r**2. What is s in y(s) = 0?
-10, -1
Let k be (-6549)/(-11655) + (-3)/7. Factor 0 + k*o**3 - 4/15*o**2 + 0*o.
2*o**2*(o - 2)/15
Let f be -3*((-8)/(-36))/((-3)/18). Determine g, given that -31*g**4 - 32*g**f + 144*g**2 + 32*g + 120*g**3 - 23*g**4 - 14*g**4 = 0.
-2/5, 0, 2
Let i(r) = -11 - 13*r + 18 - 10 - r**2. Let w(d) = 4*d**2 + 64*d + 14. Let z(v) = -14*i(v) - 3*w(v). Factor z(m).
2*m*(m - 5)
Suppose -10*h + 96 = -18*h. Let z be -3 + ((-74)/h - 3). Factor -z*u**2 + 0 + 1/3*u.
-u*(u - 2)/6
Let q(t) be the third derivative of t**6/480 + 7*t**5/240 - 5*t**4/48 - 2*t**3/3 + 132*t**2. Solve q(r) = 0 for r.
-8, -1, 2
Suppose j - 2 = 2*w, -4 = -2*j + 26*w - 23*w. Factor 0*f**4 + 0*f + 0*f**3 + 0*f**j - 2/17*f**5 + 0.
-2*f**5/17
Let z(h) = -7*h**2 - 19*h + 8. Let c be z(-3). Let s(b) be the first derivative of -16*b**c + 4/3*b**3 + 64*b - 2. Suppose s(f) = 0. Calculate f.
4
Let c(d) = 11*d**2 - 11*d + 17. Let f = 27 - -7. Let z(u) = -2*u**2 + 2*u - 3. Let v(y) = f*z(y) + 6*c(y). Factor v(m).
-2*m*(m - 1)
Let t be -21*-20*6/(24 + 0). Solve -t*r - 45 - 35/2*r**3 - 305/4*r**2 - 5/4*r**4 = 0 for r.
-6, -1
Let j(n) be the first derivative of 1/60*n**6 + 3 + 0*n + 1/3*n**3 + 0*n**2 - 1/20*n**5 + 1/16*n**4. Let i(d) be the third derivative of j(d). Factor i(v).
3*(2*v - 1)**2/2
What is n in 0*n + 36*n**2 + 10 + 33*n**2 - 74*n**2 - n - 4*n = 0?
-2, 1
Suppose 0 = -2*b - 5*k + 2*k - 379, 5 = 5*k. Let c = b + 194. Let -14/5*g**c - 9/5*g - 1/5*g**5 + 16/5*g**2 + 6/5*g**4 + 2/5 = 0. What is g?
1, 2
Solve 6/7*s**4 - 30/7*s**2 + 0 + 16/7*s**3 + 8/7*s = 0.
-4, 0, 1/3, 1
Let y(s) be the first derivative of s**4/24 + 7*s**3/18 - 41*s**2/12 + 11*s/2 + 18. Determine w so that y(w) = 0.
-11, 1, 3
Let v = 34403 + -34398. Factor 7/2*m**3 + 0 + 0*m + 5/2*m**4 + 3/2*m**2 + 1/2*m**v.
m**2*(m + 1)**2*(m + 3)/2
Factor 145*s**2 + s**5 + 151*s**2 + s - 35*s**4 - 35 - 2*s**3 - 226*s**2.
(s - 35)*(s - 1)**2*(s + 1)**2
Let j = 5/1561 - -35603/93660. Let l(m) be the third derivative of j*m**5 + 0 - 2*m**2 + 7/18*m**4 + 7/36*m**6 + 0*m + 5/126*m**7 + 2/9*m**3. Factor l(c).
(c + 1)**2*(5*c + 2)**2/3
Let t(y) be the third derivative of 0 + 0*y - 1/2184*y**8 + 0*y**7 + 10*y**2 + 0*y**5 - 1/156*y**4 + 0*y**3 + 1/390*y**6. Suppose t(l) = 0. What is l?
-1, 0, 1
Let i be (-294)/(-120) - 37/(2220/72). Factor 15/2 + 25/4*a + i*a**2.
5*(a + 2)*(a + 3)/4
Suppose 10*m = -0*m + 190. Let p be 4/(-14)*(-21 + m). Suppose -2/7*j**3 + p*j**4 - 4/7 + 2*j - 12/7*j**2 = 0. Calculate j.
-2, 1/2, 1
Let i(b) be the second derivative of 3*b**5/20 + 7*b**4 + 121*b. Solve i(z) = 0 for z.
-28, 0
What is z in -11*z**4 + 4*z**5 + 5*z**5 + 36*z**4 + 14*z**3 - 2*z**3 - 4*z**2 = 0?
-2, -1, 0, 2/9
Suppose 4*n - 12 = -4*f + 2*f, -4 = -2*f. Let 6*x**4 - n*x**3 - 6*x**2 + 4*x + 0*x**3 + x**5 - 3*x**5 = 0. What is x?
-1, 0, 1, 2
Let s(r) = 3*r**2 - 25 - 2*r**2 - 2 + 33*r - 13. Let v(c) = -2*c**2 - 34*c + 40. Let o(q) = -6*s(q) - 5*v(q). Factor o(h).
4*(h - 5)*(h - 2)
Let c(f) be the first derivative of -3*f**4/16 + 9*f**3/4 + 51*f**2/4 + 18*f - 169. Solve c(z) = 0 for z.
-2, -1, 12
Let t = 46991 - 46989. Solve 4/5*f**t - 8/5*f - 12/5 = 0 for f.
-1, 3
Suppose -5*z + 35 = -15. Suppose 3*u - m = 2 + z, 12 = -4*m. Solve u*w**3 - 5*w + 6 - 11*w**2 + 5*w**2 + 2*w = 0 for w.
-1, 1, 2
Let s(t) = t**3 + 10*t**2 - t + 14. Let p be s(-10). Suppose -4*z - 1 = -13, 5*i = -3*z + p. Solve n**4 + 0 - 1/4*n**2 + 0*n - 3/4*n**i = 0.
-1/4, 0, 1
Let x(q) be the first derivative of 7/80*q**6 + q**2 + 0*q + 3/10*q**5 + 3/16*q**4 + 5 - 1/2*q**3. Let y(v) be the second derivative of x(v). Solve y(p) = 0.
-1, 2/7
Let s(x) be the first derivative of -4*x**3/9 - 6*x**2 - 32*x/3 - 33. Find o such that s(o) = 0.
-8, -1
Let l be 11/44 - (1 - 9/12). Let x(u) be the second derivative of -11*u + 1/4*u**5 + 7/12*u**4 + l + 0*u**2 + 1/3*u**3. Factor x(r).
r*(r + 1)*(5*r + 2)
Find v such that 0 - 5/4*v - 5/2*v**4 + 5/4*v**5 + 0*v**3 + 5/2*v**2 = 0.
-1, 0, 1
Factor 8/13*g + 0 - 8/13*g**3 - 30/13*g**2.
-2*g*(g + 4)*(4*g - 1)/13
Let z be (-1)/(30/(-20)) + (-10)/(-3). Let b(p) be the first derivative of 2/5*p**5 + 2*p**4 + 4*p**3 + z + 2*p + 4*p**2. Suppose b(x) = 0. What is x?
-1
Let -159*o**2 - 65*o**3 + 52*o**3 + 75*o + 34*o**3 + 63 = 0. Calculate o.
-3/7, 1, 7
Let p(m) be the first derivative of -m**4/18 + 16*m**3/27 + 11*m**2/9 - 4*m - 52. Factor p(s).
-2*(s - 9)*(s - 1)*(s + 2)/9
Let c(h) = -15*h**2 - 1043*h - 552. Let j be c(-69). Find u such that -u**2 + u**4 + 0*u + 1/2*u**5 + j - 1/2*u**3 = 0.
-2, -1, 0, 1
Determine t, given that 36*t**2 - 6251*t - 10*t**4 + 17*t**3 - 16 + 3127*t - 3*t**5 + 3120*t = 0.
-4, -1, 2/3, 2
Let r(x) be the third derivative of 0*x + 1/20*x**6 + 1/10*x**5 + 0 - 1/2*x**3 - 1/70*x**7 - 1/8*x**4 + 13*x**2 - 1/112*x**8. Let r(c) = 0. Calculate c.
-1, 1
Let m be 48 - -7*42/(-49). Let a be ((-6)/7)/((-9)/m). Factor -3/5*d**5 - 3/5*d**2 + 0*d + 3/5*d**3 + 0 + 3/5*d**a.
-3*d**2*(d - 1)**2*(d + 1)/5
Let v(y) be the first derivative of -1/20*y**6 - 3/8*y**4 - 15 - 1/3*y**3 + 0*y + 7/2*y**2 - 13/60*y**5. Let j(l) be the second derivative of v(l). Factor j(g).
-(g + 1)*(2*g + 1)*(3*g + 2)
Let l = 78 + -53. Suppose -l = -5*s, a + 0*s + s - 8 = 0. Factor 20*b**a - 7*b**4 + 0*b**4 + 18*b - 32*b**2 - 4 + 2*b**5 + 8*b**3 - 5*b**4.
2*(b - 2)*(b - 1)**4
Let u(s) be the first derivative of 5*s**4/6 - 8*s**3/3 + 3*s**2 - 23*s + 14. Let y(g) be the first derivative of u(g). Determine w, given that y(w) = 0.
3/5, 1
What is t in 2/3*t**3 + 32/15 - 86/15*t**2 + 44/15*t = 0?
-2/5, 1, 8
Let u(p) be the third derivative of 0 + 0*p + 0*p**3 - 1/18*p**4 - 18*p**2 - 1/45*p**6 + 1/315*p**7 + 1/18*p**5. Find s, given that u(s) = 0.
0, 1, 2
Let l(i) be the first derivative of 2*i**2 - 4*i - 10. Let h be l(2). What is s in -75 + 0*s - s - 3*s**2 - h*s - 25*s = 0?
-5
Let t(c) be the second derivative of c**6/60 - c**4/4 - 2*c**3/3 - 21*c**2/2 + 7*c. Let u(b) be the first derivative of t(b). Suppose u(w) = 0. What is w?
-1, 2
Let d(b) = -8*b**4 + 29*b**3 + 117*b**2 - 91*b - 315. Let l(m) = 12*m**4 - 44*m**3 - 176*m**2 + 136*m + 472. Let f(u) = -8*d(u) - 5*