ive of -4*x**5/3 - 205*x**4/24 + 35*x**3/2 - 2528*x**2. Let d(s) = 0. Calculate s.
-3, 7/16
Let m(h) be the third derivative of 3*h**7/490 - 2*h**6/105 - 7*h**5/60 + 11*h**4/42 + 2*h**3/7 - h**2 + 380*h. Suppose m(r) = 0. Calculate r.
-2, -2/9, 1, 3
Let a(f) be the first derivative of 3*f**4/10 + 436*f**3/15 + 947*f**2/5 - 136*f - 5203. Solve a(v) = 0.
-68, -5, 1/3
Let u = 5218514/5 - 1043702. What is m in 0*m - 2/5*m**4 + 0 + 6/5*m**3 - u*m**2 = 0?
0, 1, 2
Let i(k) = 9*k**5 - 5*k**3 - 9*k**2 - 13*k - 7. Let g(m) = -5*m**5 + 2*m**3 + 4*m**2 + 7*m + 4. Let c(x) = 7*g(x) + 4*i(x). Let c(r) = 0. Calculate r.
-1, 0, 3
Determine n so that 2292*n + 178643 - 198282 - 418133 - 3*n**2 = 0.
382
Factor 32 + 25 - 57 + 3*z**2 - 723*z**3.
-3*z**2*(241*z - 1)
Let g(m) be the first derivative of -m**5/35 + 15*m**4/28 - 29*m**3/21 - 207*m**2/14 - 162*m/7 - 948. Find h such that g(h) = 0.
-2, -1, 9
Let j(q) be the second derivative of q**5/60 + 47*q**4/36 + 475*q**3/18 - 625*q**2/2 - 14*q - 239. Find v, given that j(v) = 0.
-25, 3
Suppose 151*a = 165*a - 512*a + 1494. Let i(o) be the second derivative of -1/42*o**4 + 0 + 0*o**a - 24*o + 1/140*o**5 + 0*o**2. Factor i(p).
p**2*(p - 2)/7
Factor 4*b**4 - 196*b**3 - 43120*b + 5682*b**2 + 96800 + b**4 + 2*b**4 - 9*b**4 + 4*b**4.
2*(b - 44)**2*(b - 5)**2
Let g be ((3696/(-32))/(-77))/((-2)/4 + 1). Let d(j) be the first derivative of 3 + 0*j + 0*j**2 - 1/2*j**4 - 7/6*j**6 - 9/5*j**5 + 0*j**g. Factor d(q).
-q**3*(q + 1)*(7*q + 2)
Let c(n) be the first derivative of -160/3*n**3 + 19 + 0*n + 40*n**2 + 5/6*n**6 - 8*n**5 + 30*n**4. Factor c(t).
5*t*(t - 2)**4
Let w(l) be the second derivative of 17*l**6/15 - 7*l**5/10 - 22*l**4/3 - 20*l**3/3 - 62*l - 9. Solve w(r) = 0.
-1, -10/17, 0, 2
Let y = 496535 + -496535. What is u in -2/9*u**3 + y + 0*u + 4/9*u**2 = 0?
0, 2
Let b(w) = -2*w + 11. Let t be b(7). Let h be 17 + t + 24/4. Solve -19*g**2 + 46*g**4 - 28*g - 50*g**4 - 17*g**2 - h*g**3 - 8 = 0 for g.
-2, -1
Let p = 299 + -297. Suppose 2*c + p*u - 8 = 4*u, 3*c - 5*u - 20 = 0. Factor 12/11*l**2 + 2/11*l**3 + 18/11*l + c.
2*l*(l + 3)**2/11
Let x(z) = -z**4 - z**3 + 2*z**2 - z + 1. Let j(l) = 4*l**4 - 30*l**2 + 0 - 6 + 5947*l + 10*l**4 - 5945*l. Let a(w) = -j(w) - 6*x(w). Factor a(r).
-2*r*(r - 2)*(r + 1)*(4*r + 1)
Let r(a) = -53*a**3 - 571*a**2 - 955*a + 157. Let s(j) = 380*j**3 + 3998*j**2 + 6686*j - 1098. Let p(i) = 44*r(i) + 6*s(i). Solve p(n) = 0.
-20, -2, 2/13
Let v(u) = 5*u**2 - 2*u - 1. Let w(o) = o**2 - o - 1. Suppose 0 = 5*r + 2*g - 15 + 2, 2*g - 5 = 3*r. Let t(m) = r*v(m) - 6*w(m). What is q in t(q) = 0?
-1, 5
Let s(l) be the third derivative of 0 + 1/945*l**7 + 12*l + 9*l**2 + 0*l**3 + 1/90*l**6 + 2/45*l**5 + 2/27*l**4. Let s(t) = 0. Calculate t.
-2, 0
Factor -37*p**3 - 6655*p**2 + 2775*p**2 + 1946*p - 2115 + 3739*p + 117*p**3.
5*(p - 47)*(4*p - 3)**2
Let c(a) be the first derivative of -3*a**4/20 + 47*a**3/5 - 2109*a**2/10 + 9747*a/5 + 1974. Suppose c(h) = 0. Calculate h.
9, 19
Let x = 458 - 439. Determine u, given that 120*u + 112 + 2*u**3 - 28*u**2 + 83*u**2 - x*u**2 = 0.
-14, -2
Let p be (-29)/(-5) + (-63)/(-315). Let -p*i**4 + 284*i**2 + 244*i**3 + 7*i**4 + 8*i**4 + 56*i + 4*i**4 + 3*i**4 = 0. Calculate i.
-14, -1, -1/4, 0
Let o(l) be the first derivative of 3*l**4/4 + 750*l**3 - 4518*l**2 + 9048*l + 7767. Factor o(s).
3*(s - 2)**2*(s + 754)
Factor -109/2*l - 27 - 28*l**2 - 1/2*l**3.
-(l + 1)**2*(l + 54)/2
Suppose -6*l = -l - 100. Let c(f) = 19*f + 1069. Let z be c(-56). Factor -z - 8*r**2 - l*r + 11*r**2 - 95 - 4*r**2.
-(r + 10)**2
Let r be 6232/2394 + 90/81. Suppose -8/7 - r*w**2 + 24/7*w - 2/7*w**4 + 12/7*w**3 = 0. What is w?
1, 2
Factor -15*a - 7/2*a**2 - 1/4*a**3 - 18.
-(a + 2)*(a + 6)**2/4
Let q(n) be the first derivative of n**4/14 + 146*n**3/21 + 123. Factor q(t).
2*t**2*(t + 73)/7
Let l be (-901)/(-884) + ((-120)/65)/(-8). Let v(g) be the second derivative of 0 - 3/20*g**5 + l*g**4 + 9/2*g**2 - 7/2*g**3 + 12*g. Let v(d) = 0. What is d?
1, 3
Let q = 29/694 + 1185/4858. What is d in q*d**2 + 34/7*d - 36/7 = 0?
-18, 1
Let a(g) = 8*g**4 - 152*g**3 + 1472*g**2 - 2256*g - 3896. Let d(y) = y**4 + 10*y**3 + 2*y**2 - 4*y + 1. Let m(h) = a(h) - 4*d(h). Factor m(k).
4*(k - 39)*(k - 5)**2*(k + 1)
Factor 0 - 28/9*r**3 + 4/9*r**4 + 64/9*r - 40/9*r**2.
4*r*(r - 8)*(r - 1)*(r + 2)/9
Let v(w) be the first derivative of -3*w**4/4 + 3*w**2/2 + 2*w - 1. Let c be v(-1). Let 2*r + c*r**2 - 64 + 72 - 10*r = 0. What is r?
2
Let w(u) = -8*u**5 + 108*u**4 - 624*u**3 + 424*u**2 + 644*u - 528. Let o(a) = -a**5 + 2*a**3 + 2*a + 1. Let k(m) = -4*o(m) + w(m). Solve k(r) = 0.
-1, 1, 7, 19
Let g(f) be the third derivative of -1/90*f**5 + 4 + 0*f**3 + 0*f + 1/80*f**6 + 1/2016*f**8 + 0*f**4 - 1/210*f**7 + 2*f**2. Find y such that g(y) = 0.
0, 1, 4
Let h = -12547/232 - -1572/29. Factor -7/8*l**2 - h*l**3 - 9/8 - 15/8*l.
-(l + 1)*(l + 3)**2/8
Let n(z) be the first derivative of 0*z**2 + 1/8*z**4 - 1/4*z**3 + 14*z - 5. Let c(h) be the first derivative of n(h). Factor c(x).
3*x*(x - 1)/2
Let t(b) be the third derivative of -b**6/480 + b**5/40 - 3*b**4/32 + b**3/6 + 5305*b**2. Factor t(f).
-(f - 4)*(f - 1)**2/4
Suppose -4*m = o - 85, 0 = -2*o - m - 49 + 233. Let v = o - 647/7. Factor 8/7*c - 2/7 - 10/7*c**2 + v*c**3.
2*(c - 1)**2*(2*c - 1)/7
Solve 29/4*m**2 - 7 - 1/4*m**4 - 27/4*m + 27/4*m**3 = 0.
-1, 1, 28
Let m(y) be the first derivative of -y**3/5 + 441*y**2/10 + 444*y/5 + 7640. Factor m(j).
-3*(j - 148)*(j + 1)/5
Let s(r) be the second derivative of -1/20*r**4 + 4/25*r**5 + 1/150*r**6 + 2 - 23/15*r**3 + 16/5*r**2 + 168*r. Factor s(x).
(x - 1)**2*(x + 2)*(x + 16)/5
Solve -57456*c - 6085092*c**2 - 22362 + 6087244*c**2 - 966 - 20*c**3 = 0 for c.
-2/5, 54
Let f(l) = 4*l**4 + 74*l**3 - 372*l**2 + 230*l + 662. Let t(z) = -3*z**4 - 49*z**3 + 249*z**2 - 153*z - 441. Let y(a) = 7*f(a) + 10*t(a). Factor y(g).
-2*(g - 7)*(g - 4)**2*(g + 1)
Factor -1137032/3 - 1006*z**2 - 2/3*z**3 - 380016*z.
-2*(z + 1)*(z + 754)**2/3
Let o(p) = -6*p**2 + 506*p. Let q(l) = 7*l**2 - 508*l. Let x(t) = 5*o(t) + 4*q(t). Factor x(f).
-2*f*(f - 249)
Let l(u) be the first derivative of -5*u**3/3 + 55*u**2/2 + 510*u - 2477. Let l(y) = 0. Calculate y.
-6, 17
Let w be -745 - ((3 - 8) + 10). Let o = -1497/2 - w. Factor -3 - 15/2*r**3 - 21/2*r - 27/2*r**2 - o*r**4.
-3*(r + 1)**3*(r + 2)/2
Suppose 7*j = 14*j + 273. Let a be j/(-30) - (15/(-10))/(-3). Determine h, given that a*h**2 + 64/5 + 32/5*h = 0.
-4
Let p(b) = -2*b**2 - 192*b + 18. Let f(n) = n**2 + 91*n - 8. Let j(o) = 18*f(o) + 8*p(o). Factor j(h).
2*h*(h + 51)
Let b(i) be the second derivative of i**6/60 - 19*i**5/8 - 257*i**4/32 - 121*i**3/12 - 97*i**2/16 - 2275*i. Suppose b(j) = 0. Calculate j.
-1, -1/2, 97
Let b(j) be the second derivative of 0 - 6*j**2 - 22/3*j**4 + 26/3*j**3 + 18/5*j**5 + 2/21*j**7 - 14/15*j**6 - 139*j. Factor b(h).
4*(h - 3)*(h - 1)**4
Determine l, given that 16*l**3 - 10*l**3 - 38*l + 5*l**3 + 12*l**2 - l**4 + 9*l**3 - 14*l**3 + 21 = 0.
-3, 1, 7
Let b = -2881 + 2886. Let x(g) be the second derivative of 1/2*g**2 - 1/3*g**3 - 6*g + 1/10*g**b + 0 + 0*g**4 - 1/30*g**6. Factor x(o).
-(o - 1)**3*(o + 1)
Let o(j) be the first derivative of 5*j**4/26 + 2*j**3/39 - 20*j**2/13 - 8*j/13 + 45. Suppose o(z) = 0. What is z?
-2, -1/5, 2
Let q(h) be the second derivative of h**10/10080 - 9*h**8/1120 + 27*h**6/80 + 97*h**4/12 - 3*h + 23. Let d(p) be the third derivative of q(p). Factor d(k).
3*k*(k - 3)**2*(k + 3)**2
Let a(w) be the third derivative of w**8/112 - 3*w**7/70 + w**5/5 + 307*w**2 - 1. Factor a(v).
3*v**2*(v - 2)**2*(v + 1)
Let y(m) be the second derivative of m**6/150 + 11*m**5/25 + 71*m**4/20 - 999*m**3/5 + 8748*m**2/5 - 2741*m + 1. Factor y(i).
(i - 6)*(i - 4)*(i + 27)**2/5
Factor -76729/4 - 1/4*t**2 - 277/2*t.
-(t + 277)**2/4
Let g(o) be the first derivative of 0*o**2 - 15*o - 1/14*o**3 - 1/35*o**6 - 9 + 9/140*o**5 + 0*o**4. Let y(i) be the first derivative of g(i). Factor y(t).
-3*t*(t - 1)**2*(2*t + 1)/7
Let z(v) be the first derivative of 136/3*v**3 + 7*v**4 + 150*v + 163 + 130*v**2 + 2/5*v**5. Factor z(c).
2*(c + 1)*(c + 3)*(c + 5)**2
Suppose -59/2*u - 115/4*u**2 - 3/4 = 0. What is u?
-1, -3/115
Let s(w) be the first derivative of 5*w**4/24 - 100*w**3/3 + 965*w**2/4 - 1150*w/3 + 8824. Facto