 c(f) be the third derivative of 8*f**7/105 - 13*f**6/12 - 32*f**5/15 + 3*f**4/4 - 287*f**2 - 19. What is x in c(x) = 0?
-1, 0, 1/8, 9
Let s(i) be the second derivative of 250*i**2 + 1/60*i**4 + 0 + 204*i - 10/3*i**3. Factor s(a).
(a - 50)**2/5
Let a(g) = 3600*g**2 + 29703*g + 60500. Let q(w) = -3615*w**2 - 29702*w - 60500. Let d(m) = -2*a(m) - 3*q(m). Determine n so that d(n) = 0.
-110/27
Let c(z) = z**3 - 7*z**2 + 2966*z - 20762. Let v be c(7). Determine x, given that v + 4/13*x**5 - 6/13*x**4 + 2/13*x**2 + 0*x**3 + 0*x = 0.
-1/2, 0, 1
Let k(d) = -26*d**2 - 144*d - 54. Let x(j) = 5*j**2 + 28*j + 11. Let z be 100/(-6) + 1 + (-3)/9. Let v(p) = z*x(p) - 3*k(p). Let v(f) = 0. What is f?
-7, -1
Let c = 2663/8775 - 7/975. Let l(h) be the third derivative of 0*h + 0 - c*h**4 + 32/27*h**3 - 2*h**2 - 11/135*h**5 - 1/180*h**6. Factor l(u).
-2*(u + 4)**2*(3*u - 2)/9
Let j(t) be the second derivative of t**8/13440 + t**7/2520 - t**6/160 - 3*t**5/40 + 65*t**4/4 + 8*t + 8. Let x(l) be the third derivative of j(l). Factor x(q).
(q - 3)*(q + 2)*(q + 3)/2
Let i = -15/469 - -4735/1407. Let q(z) be the third derivative of 0*z + 0 + 200/3*z**3 + 1/15*z**5 - 37*z**2 - i*z**4. Factor q(c).
4*(c - 10)**2
Suppose -180*h - 1064 = -498*h - 110. Solve 8/3*t**2 - 2/3*t**4 - 2*t**h + 0*t + 0 = 0.
-4, 0, 1
Let a = 5336/43 - 15664/129. Factor -a - 98/3*v**2 - 56/3*v.
-2*(7*v + 2)**2/3
Let z be 120/(-285)*(-2)/(-2 + 26). Let l(j) be the second derivative of 6*j + 1/114*j**4 - 3/19*j**2 - z*j**3 + 0. Determine b so that l(b) = 0.
-1, 3
Let v(z) be the second derivative of z**6/120 - 7*z**5/40 - z**4 - z**3/2 + 3*z**2/2 + 19*z. Let l(t) be the second derivative of v(t). Factor l(g).
3*(g - 8)*(g + 1)
Let f be (-1)/1 + -4 + 4. Let o be f + (64 - -3) + 1. Factor 30*v**3 + 4*v**2 - 4*v**4 + 37*v**3 - o*v**3.
-4*v**2*(v - 1)*(v + 1)
Let z(i) be the second derivative of -i**8/7560 - i**7/1260 + i**6/162 - 2*i**3 - 60*i. Let y(p) be the second derivative of z(p). Factor y(t).
-2*t**2*(t - 2)*(t + 5)/9
Let d(w) = -5*w**3 - 19*w**2 - 11*w + 75. Let y be 56/(13 + -5) - 2. Let u(x) = -4*x**3 - 17*x**2 - 10*x + 75. Let v(l) = y*d(l) - 6*u(l). Factor v(b).
-(b - 5)**2*(b + 3)
Let v(i) be the second derivative of -i**4/3 + 700*i**3/3 - 1392*i**2 + 2314*i. Suppose v(o) = 0. Calculate o.
2, 348
Let v(g) = -g**2 - 21*g - 50. Let p be v(-3). Let -6753 + 2*h**p - 2*h + 2*h + h**2 + 5*h - 5*h**3 + 6750 = 0. Calculate h.
-1, 1, 3/2
Let n(c) be the second derivative of -1/4*c**4 + 2*c**2 - 2/3*c**3 + 0 + 32*c - 1/30*c**6 + 1/5*c**5. Factor n(s).
-(s - 2)**2*(s - 1)*(s + 1)
What is z in -42*z - 158*z**3 - 26/3*z**4 - 2194/3*z**2 + 540 = 0?
-9, -1, 10/13
Let p(r) be the third derivative of -r**5/450 + 7*r**4/36 - 34*r**3/45 + 3*r**2 - 5. Factor p(u).
-2*(u - 34)*(u - 1)/15
Let b = -88963 - -177931/2. Find x such that 0 - 35/2*x - b*x**2 = 0.
-7, 0
Let i = -532042/15 + 106409/3. Factor -19/5*s + 18/5 + i*s**2.
(s - 18)*(s - 1)/5
Let v(a) be the first derivative of 5*a**4/16 + 13*a**3/2 - 4*a**2 - 2102. Factor v(l).
l*(l + 16)*(5*l - 2)/4
Let w be (-42)/6 + 0 + 7. Let j be (0 - 2/(-2))*w/(-14). Solve 10/23*i**3 - 4/23*i - 6/23*i**2 + j = 0 for i.
-2/5, 0, 1
Let x(c) be the third derivative of c**7/210 - c**6/60 - c**5/20 - 822*c**2 - 1. Solve x(n) = 0 for n.
-1, 0, 3
Let j = -221 + 351. Let o be (-6)/j - 0 - 1/(-5). Factor 2/13*w**2 + 0 + 0*w + 0*w**3 - o*w**4.
-2*w**2*(w - 1)*(w + 1)/13
Let w(g) be the second derivative of 291*g**5/10 - 195*g**4/4 - 387*g**3/2 + 3*g**2 - g - 2045. Factor w(x).
3*(x - 2)*(x + 1)*(194*x - 1)
Let d(l) = 45*l + 915. Let n be d(-20). Let m(y) be the first derivative of -3/20*y**5 + 0*y**2 - 1/2*y**3 + n + 9/16*y**4 + 0*y. Factor m(h).
-3*h**2*(h - 2)*(h - 1)/4
Let r = 1819177/3 + -606392. Factor 8/3 + r*i**3 + 7/3*i**2 + 14/3*i.
(i + 1)*(i + 2)*(i + 4)/3
Let i(q) = q**2 + 5*q - 18. Let g be i(4). Let r(d) be the second derivative of 0 + g*d**2 + 17*d - 4*d**3 + 1/3*d**4. Factor r(p).
4*(p - 3)**2
Let b(o) = -o**3 - 4*o**2 + o + 2. Let k be b(-5). Let v be k/(-33)*(-18)/(-4) + 5. Determine p, given that p**v + 1/5*p**3 + 4/5 + 8/5*p = 0.
-2, -1
Let t(u) be the second derivative of u + 1/18*u**4 + 0 + 12*u**2 - 20/9*u**3. Factor t(c).
2*(c - 18)*(c - 2)/3
Let a(f) be the first derivative of -f**6/450 - f**5/50 + 57*f**3 - 34. Let p(o) be the third derivative of a(o). Suppose p(q) = 0. Calculate q.
-3, 0
Let p = 4795/4 + -95897/80. Let x(q) be the second derivative of -19*q + 0 + 0*q**4 + p*q**5 + 1/56*q**7 - 1/20*q**6 + 0*q**2 + 0*q**3. Factor x(v).
3*v**3*(v - 1)**2/4
Let s(f) = 9*f**3 - 1487*f**2 + 474*f + 998. Let l(x) = 44*x**3 - 7437*x**2 + 2369*x + 4993. Let h(a) = -6*l(a) + 31*s(a). Determine q, given that h(q) = 0.
-2/3, 1, 98
Let z be (1/(-12))/((-228)/342). Let b(t) be the first derivative of 0*t + 3/4*t**2 + 39 - z*t**4 - 1/3*t**3. Suppose b(n) = 0. What is n?
-3, 0, 1
Let a(v) be the third derivative of -v**5/270 - 115*v**4/27 - 52900*v**3/27 + 123*v**2 - 4. Factor a(i).
-2*(i + 230)**2/9
Let y(p) be the second derivative of -4/3*p**2 + 8/27*p**3 - 2 + 7/54*p**4 - 1/135*p**6 - 15*p - 1/45*p**5. Find v, given that y(v) = 0.
-3, -2, 1, 2
Let j(p) be the second derivative of -p**7/1260 + p**6/270 + 19*p**5/180 - 5*p**4/9 + 21*p**3 + 30*p. Let n(c) be the second derivative of j(c). Solve n(l) = 0.
-4, 1, 5
Let p(w) be the third derivative of -w**5/100 + 187*w**4/20 + 75*w**3/2 - 600*w**2. Factor p(u).
-3*(u - 375)*(u + 1)/5
Let c be 5/(-1) - (18 + -6 + -19). Factor -9*b**2 - 7*b**2 - 27*b**5 - 48*b**4 - 6*b**3 - 9*b**3 + 22*b**c.
-3*b**2*(b + 1)**2*(9*b - 2)
Let o(z) be the third derivative of -130/3*z**3 + 134*z**2 + 115/3*z**4 + 0 + 0*z - 7/12*z**5. Factor o(m).
-5*(m - 26)*(7*m - 2)
Suppose -4*i = -910*b + 908*b - 8, 4*i + b = 14. Factor -16/5*m**2 - 2/5*m**4 + 0 + 8/5*m + 2*m**i.
-2*m*(m - 2)**2*(m - 1)/5
Let j be 40 + 53 + -2 + -87. Let -7/3*s**2 - 5/2*s**3 + 0 - 1/6*s**j + 0*s = 0. Calculate s.
-14, -1, 0
Let n(p) be the third derivative of -p**7/105 + 3067*p**6/30 - 9406489*p**5/30 - 1039*p**2 - p. Find t, given that n(t) = 0.
0, 3067
Let u = 71/577 + 151/3462. Factor 0 - u*l**2 - 5/6*l.
-l*(l + 5)/6
Let r be 17/136 - (578/(-112) + (-26)/(-91)). Let g(w) be the third derivative of -1/10*w**6 - 35*w**2 + 0 + 0*w**3 + 0*w - 1/12*w**r + 1/12*w**4. Factor g(c).
-c*(3*c + 2)*(4*c - 1)
Factor 66*i**3 + 153/2*i + 105*i**2 + 21 + 3/2*i**5 + 18*i**4.
3*(i + 1)**3*(i + 2)*(i + 7)/2
Let q(k) be the first derivative of k**6/9 - 44*k**5/15 + 59*k**4/3 - 88*k**3/9 - 535*k**2/3 - 700*k/3 - 1640. Determine y so that q(y) = 0.
-1, 5, 14
Let f(o) be the first derivative of o**6/75 - 3*o**5/50 - o**4/5 + 28*o**3/15 - 24*o**2/5 - 71*o - 45. Let j(n) be the first derivative of f(n). Factor j(t).
2*(t - 2)**3*(t + 3)/5
Factor 360*q**3 - 29835 + 10775 - 355*q**3 + 521*q**2 - 19571*q**2 - 5915*q - 32200*q.
5*(q - 3812)*(q + 1)**2
Let y(l) be the third derivative of -l**5/12 - 5*l**4/24 + 10*l**3 + 96*l**2 + 4. Factor y(b).
-5*(b - 3)*(b + 4)
Let x be 25/(2200/2156) + -20. Determine t, given that 21/4*t + 3/8*t**4 - x*t**2 + 3/4*t**3 - 15/8 = 0.
-5, 1
Let f(j) be the third derivative of 0 - 1/9*j**3 + 1/45*j**6 - j - 87*j**2 + 1/18*j**4 + 7/90*j**5. What is w in f(w) = 0?
-1, 1/4
Let i be (752/(-76) + (143 - 133))*(0 - -1). Find c such that i*c**2 - 52/19*c + 0 = 0.
0, 26
Let s = 447 + 181. Factor -5*v**4 - 20*v**3 - s*v + 518*v + 605 - 280*v**2 - 320*v**2 + 130*v**3.
-5*(v - 11)**2*(v - 1)*(v + 1)
Let v be (-28)/(-30) - (-122)/3111*17. Factor 0 + v*h**4 + 0*h + 12/5*h**3 - 36/5*h**2.
4*h**2*(h + 3)*(2*h - 3)/5
Let j(b) be the first derivative of b**4/22 - 6*b**3/11 - 81*b**2/11 - 270*b/11 + 335. Factor j(y).
2*(y - 15)*(y + 3)**2/11
Solve -158/5*o**2 - 4*o**3 - 184/5*o + 18/5*o**4 - 64/5 = 0.
-1, -8/9, 4
Suppose -2*g = 5*a - 169, g - 3*g = -3*a + 95. Suppose -46 = 10*z - a*z. Factor -7/3*q**3 + 7/3*q + 2/3 - 2/3*q**z.
-(q - 1)*(q + 1)*(7*q + 2)/3
Let d be 24/(-9) + -207*(-30)/675. Let h(n) be the first derivative of -2/45*n**3 + 14/15*n**2 + 26 - d*n. Let h(w) = 0. What is w?
7
Let s(q) be the second derivative of -5*q**4/12 + 1300*q**3/3 - 169000*q**2 + q + 193. Find c such that s(c) = 0.
260
Let g(j) be the second derivative of j**4/28 - 351*j**3/14 - 528*j**2/7 - 2173*j. F