he first derivative of 2*u**6/27 + 32*u**5/45 - 83*u**4/9 + 152*u**3/27 + 632*u**2/9 - 1120*u/9 + 850. Find j, given that o(j) = 0.
-14, -2, 1, 2, 5
Let j = -17748/5 + 53254/15. Let u(f) be the third derivative of 3/20*f**5 + 0*f + 0 + 15*f**2 - 11/24*f**4 + j*f**3 - 1/210*f**7 - 1/120*f**6. Factor u(s).
-(s - 1)**3*(s + 4)
Let u(r) = 13*r**2 + 2*r**3 + 3659 - 3672 + 25*r**2 - 27*r. Let k(f) = -2*f**3 - 19*f**2 + 14*f + 7. Let c(x) = 5*k(x) + 3*u(x). Factor c(o).
-(o - 4)*(o - 1)*(4*o + 1)
Factor 373*x - 65*x**3 - 330*x**2 + 6*x**4 + 200*x**2 - 11*x**4 + 187*x.
-5*x*(x - 2)*(x + 7)*(x + 8)
Let 1/6*g**2 + 3/2*g - 68/3 = 0. Calculate g.
-17, 8
Let s(c) be the second derivative of -c**6/10 - 357*c**5/20 - 465*c**4/4 - 577*c**3/2 - 345*c**2 + 2080*c. Find v such that s(v) = 0.
-115, -2, -1
Let -104/5 - 108/5*p**2 + 2/5*p**3 + 42*p = 0. Calculate p.
1, 52
Let l(v) be the third derivative of v**7/1155 + v**6/33 - 91*v**5/330 + 59*v**4/66 - 16*v**3/11 + 2*v**2 + 582*v. Suppose l(n) = 0. What is n?
-24, 1, 2
Suppose 0 = 102*j + 107 - 311. Let v(g) be the second derivative of -8*g + 1/130*g**5 + 1/26*g**4 + 0 + 0*g**j + 2/39*g**3. Find c such that v(c) = 0.
-2, -1, 0
Factor 2*y**3 + 1012523146 + 2117*y**2 + 3811254*y + 3641*y**2 - 976*y**2.
2*(y + 797)**3
Let k = -2022/445 + 440/89. Factor 0 + 0*g + k*g**3 + 1/5*g**4 - 3/5*g**2.
g**2*(g - 1)*(g + 3)/5
Let z(a) be the second derivative of -1/42*a**7 + 5/6*a**3 - 1/5*a**5 - 2/15*a**6 + 1 - 15*a + 1/6*a**4 + a**2. Let z(c) = 0. Calculate c.
-2, -1, 1
Let 2/7*b**3 + 190/7*b - 58/7*b**2 + 250/7 = 0. Calculate b.
-1, 5, 25
Let v be (-120 + -5)*5/(-25). Factor 20*p - 1146*p**2 - 13*p - v + 1147*p**2 + 17*p.
(p - 1)*(p + 25)
Let p be -3 - (-3)/3*196. Suppose -5*h = -p + 183. Factor -8*z - 5*z**3 + 15*z**2 + 0*z - h*z.
-5*z*(z - 2)*(z - 1)
Let k be (-12)/(-8)*4/10. Let v be 27 - (28 + (-72)/40). Factor 0 + 1/5*z**4 + 0*z**2 + v*z - k*z**3.
z*(z - 2)**2*(z + 1)/5
Let x(l) be the first derivative of 5*l**6/6 + 4*l**5 - 75*l**4/4 - 50*l**3/3 + 110*l**2 - 120*l + 2097. Solve x(b) = 0.
-6, -2, 1, 2
Let j = 68 + -66. Suppose 3*h + 4*t + j = 0, 0 = 2*h + t + t - 2. Factor 5*c - 5*c**3 + 11*c - h*c + 5*c**2.
-5*c*(c - 2)*(c + 1)
Let z(h) be the second derivative of -h**6/210 + h**5/28 + h**4/12 - 29*h**3/42 - 15*h**2/7 - 1195*h - 2. Suppose z(w) = 0. Calculate w.
-2, -1, 3, 5
Suppose 7*z - 10*z = 5*b - 1203, -5*z - b = -1983. Let q = z + -392. Determine p, given that -3/5*p**q - 72/5*p + 18/5*p**3 - 3/5*p**2 - 48/5 = 0.
-1, 4
Let z = 226/2353 + 1015366/11765. Find d such that 21/5*d**2 - z - 1/5*d**3 - 72/5*d = 0.
-3, 12
Suppose 0 = 9*q - 11 - 7. Factor 4*j - 2*j**2 - q*j**2 + j**4 - 151*j**3 + 150*j**3.
j*(j - 2)*(j - 1)*(j + 2)
Let w(q) be the second derivative of 127*q + 1/5*q**5 + 0*q**2 + 0 + 0*q**3 - 4*q**4. Find g such that w(g) = 0.
0, 12
Let o(d) be the first derivative of -d**4/12 + 10*d**3/9 - 16*d**2/3 + 32*d/3 + 690. Factor o(k).
-(k - 4)**2*(k - 2)/3
Let k(l) be the third derivative of 13*l**2 + 135/8*l**4 + 1 + 0*l**3 - 3/2*l**5 + 0*l + 1/24*l**6. Factor k(t).
5*t*(t - 9)**2
Let g be 24/252 - ((824/(-84))/2 + -1). Suppose 4*u + 6*l = 3*l + 27, -15 = -3*l. Factor j - 3*j**u - j**4 + 12*j**3 - g*j**3 + 3*j**2 - 6*j**2.
-j*(j - 1)**3
Let s(z) be the third derivative of z**7/1120 - 3*z**5/160 - z**4/16 + 34*z**3/3 - 23*z**2 - 5. Let w(g) be the first derivative of s(g). Factor w(t).
3*(t - 2)*(t + 1)**2/4
Let c(k) be the first derivative of -6*k**5/5 - 573*k**4/4 + 486*k**3 - 1173*k**2/2 + 294*k + 509. Suppose c(u) = 0. Calculate u.
-98, 1/2, 1
Find z such that -34/7 - 69/7*z - 36/7*z**2 - 1/7*z**3 = 0.
-34, -1
What is m in -8*m**2 - 2/3*m**3 + 0 - 40/3*m = 0?
-10, -2, 0
Let q(z) be the third derivative of z**8/784 - 9*z**7/245 + 29*z**6/280 + 13*z**5/35 - 15*z**4/14 - 32*z**3/7 + 3711*z**2. Suppose q(w) = 0. What is w?
-1, 2, 16
Let t(v) = 651*v - 20179. Let z be t(31). Factor 9/8*g**z + 0 - 1/4*g.
g*(9*g - 2)/8
Let q = -83498/5 - -83499/5. Find v such that -4/5*v**4 - q*v**5 + 30 + 46/5*v**2 - 43*v + 24/5*v**3 = 0.
-5, 1, 2, 3
Let j(i) = -22*i**3 - 16*i**2 + 26*i + 52. Let m(l) = 7*l**3 + 5*l**2 - 9*l - 17. Let v = 259 + -264. Let b(z) = v*j(z) - 16*m(z). Factor b(o).
-2*(o - 3)*(o + 1)*(o + 2)
Let k(s) be the second derivative of -3*s**6/55 + 223*s**5/110 + 59*s**4/66 - 223*s**3/33 - 50*s**2/11 + 24*s - 22. Let k(j) = 0. Calculate j.
-1, -2/9, 1, 25
Suppose -180 = -g - 3*g - 168. Let c(h) be the first derivative of 35/2*h**2 + 30*h + 5/3*h**g - 13. Find r such that c(r) = 0.
-6, -1
Let j(i) be the second derivative of 39/10*i**2 - 1/50*i**6 + 3/10*i**5 - i + 9/5*i**4 + 19/5*i**3 + 26. Suppose j(y) = 0. What is y?
-1, 13
Suppose 80*o - 3816 = 74*o. Suppose -o*r = -632*r - 8. Factor -1/4*j**2 - r*j - 4.
-(j + 4)**2/4
Let o(i) be the first derivative of -i**6/120 + i**5/4 - 25*i**4/8 + i**3/3 - 6*i**2 + 2. Let j(k) be the third derivative of o(k). Let j(r) = 0. Calculate r.
5
Suppose 0 + 106*d + 2/3*d**2 = 0. Calculate d.
-159, 0
Suppose 42*r + 5*b + 445 = 47*r, 0 = -2*r - 2*b + 158. Factor 125*a - 370*a**3 + 221*a**2 - 5*a**2 + r*a**2 - 1002*a**4 + 605*a**5 + 342*a**4.
5*a*(a - 1)**2*(11*a + 5)**2
Let n be (574/(-6))/7*574/(-861). Find g, given that -n*g**2 + 0*g - 2/9*g**3 + 0 = 0.
-41, 0
Suppose 1440*b - 54143 + 28920 = -1040*b + 123577. Find k such that 5/3*k**3 + 245/3*k + 70/3*k**2 + b = 0.
-9, -4, -1
Determine p, given that 1/10*p**4 - 6/5 - 3/10*p**3 + 23/10*p - 9/10*p**2 = 0.
-3, 1, 4
Let p be 20/6 + (-4)/2. Let v = -359525/9 - -39949. Solve -4/9*s**4 + 16/9 - p*s**2 + 16/9*s - v*s**3 = 0.
-2, -1, 1
Let h = -535/9 + 39154/657. Let a = -85/1533 + h. Find y, given that 2/7*y**2 - a*y**3 - 8/21 + 0*y = 0.
-1, 2
Let k(i) be the first derivative of -2/9*i**3 + 62 + 4/9*i - 1/9*i**2 + 1/18*i**4 + 2/45*i**5. Let k(z) = 0. What is z?
-2, -1, 1
Let y(f) = -21*f**2 + 1451*f + 1444. Let m(z) = 78*z**2 - 5805*z - 5778. Let a(o) = 4*m(o) + 15*y(o). Suppose a(r) = 0. Calculate r.
-484, -1
Factor -2/7*t**3 - 21142/7 - 558/7*t + 102/7*t**2.
-2*(t - 31)**2*(t + 11)/7
Let r(s) = -s**3 - 9*s**2 - 5*s - 44. Let q be r(-9). Let g be 14/(-10) + q + (-50)/(-125). Let g + 9/10*o - 1/10*o**2 = 0. Calculate o.
0, 9
Let t(s) = -s**4 + 2*s**3 + s + 1. Let v(m) = -8*m**4 - 5*m**3 - 3*m**2 + 76*m + 55. Let f(i) = 36*t(i) - 4*v(i). Factor f(q).
-4*(q - 23)*(q - 2)*(q + 1)**2
Let v(u) be the third derivative of u**8/10080 - u**6/90 - 77*u**5/60 + 41*u**2. Let h(o) be the third derivative of v(o). Find g, given that h(g) = 0.
-2, 2
Let v(z) = 85*z**3 + 280*z**2 + 305*z + 110. Let u(o) = 43*o**3 + 139*o**2 + 152*o + 56. Let r = -632 + 629. Let a(d) = r*v(d) + 5*u(d). Factor a(t).
-5*(t + 1)*(t + 2)*(8*t + 5)
Let q(y) be the first derivative of -7*y**5 + 815*y**4/4 - 230*y**3/3 - 1960. Solve q(i) = 0 for i.
0, 2/7, 23
Let a(r) be the first derivative of -3/8*r**6 - 3/8*r**2 + 0*r - 21/40*r**5 + 3/8*r**3 + 9/8*r**4 - 38. Solve a(m) = 0 for m.
-2, -1/2, 0, 1/3, 1
Let f(i) be the first derivative of -i**4 + 13*i**3/6 - i**2/2 - 3*i/2 - 413. Suppose f(y) = 0. Calculate y.
-3/8, 1
Let y(s) be the third derivative of 2*s**7/105 - 5*s**6 + 1823*s**5/5 + 6004*s**4/3 - 11552*s**3 - 3447*s**2. Suppose y(a) = 0. Calculate a.
-3, 1, 76
Let g(s) be the second derivative of s**7/6 + 5*s**6/24 - s**5/6 - 59*s**2/2 - 4*s + 3. Let w(p) be the first derivative of g(p). Find c, given that w(c) = 0.
-1, 0, 2/7
Let o be ((-2)/2)/(-1) + (546/(-130))/(-7). Factor 0 + 0*u + o*u**2 - 4/5*u**3 - 4/5*u**4.
-4*u**2*(u - 1)*(u + 2)/5
Let d(p) be the first derivative of -4/3*p**3 + 32*p**2 + 103 + 68*p. Factor d(o).
-4*(o - 17)*(o + 1)
Suppose 2*f - 44 = -c, c + 3*f = -2*c + 123. Factor 74 + 0*v**2 + c*v - 74 - 2*v**2.
-2*v*(v - 19)
Let c = -1705 - -1795. Suppose -5*x + c - 73 = 2*h, -4*h = x - 7. Factor -3/5*b**x - 21/5*b**2 - 18/5*b + 0.
-3*b*(b + 1)*(b + 6)/5
Let k(w) = -16*w**2 - 20*w - 4. Suppose 12*p + 13 = -95. Let s(j) = -j**3 + 32*j**2 + 40*j + 7. Let o(n) = p*k(n) - 4*s(n). Find x such that o(x) = 0.
-2, -1
Find v such that -34/5*v**4 - 72/5 + 16*v - 36/5*v**3 + 4/5*v**5 + 154/5*v**2 = 0.
-2, -1, 1/2, 2, 9
Let g(s) be the first derivative of -s**4/8 + 35*s**3/3 + 47*s**2/4 - 276*s - 122. Let m(x) be the first derivative of g(x). Factor m(z).
-(z - 