h**2 + 882/5*h**3. Solve p(l) = 0 for l.
42
Let d(b) be the third derivative of -b**8/50400 + b**6/1800 - b**5/450 - 5*b**4/4 - b**3/6 + 8*b**2 - 2. Let m(w) be the second derivative of d(w). Factor m(f).
-2*(f - 1)**2*(f + 2)/15
Let g(r) be the first derivative of -2/21*r**3 + 11/28*r**4 - 6/35*r**5 + 8/7*r - 6/7*r**2 + 1/42*r**6 + 103. Let g(b) = 0. Calculate b.
-1, 1, 2
Let g = -39027 - -39029. Determine o so that -27/2*o + 0 - 1/6*o**3 + 3*o**g = 0.
0, 9
Let z(f) be the first derivative of 14*f**2 - 26*f**5 + 25*f**5 + 21*f**2 - 5*f**4 + 5*f**3 + 40*f - 30. Factor z(c).
-5*(c - 2)*(c + 1)**2*(c + 4)
Let n(j) be the first derivative of j**6/14 - 3*j**5/35 - 15*j**4/28 + 5*j**3/7 + 6*j**2/7 - 12*j/7 - 2538. What is u in n(u) = 0?
-2, -1, 1, 2
Factor -701*g**3 - 84*g**2 + 77*g + 77*g + 781*g**3 - 154*g + 4*g**4.
4*g**2*(g - 1)*(g + 21)
Let n be (-2 - (-72)/48)/(1 + (-26)/12). Let o(m) be the first derivative of n*m**4 + 0*m**2 + 8/21*m**3 + 4/35*m**5 + 0*m + 7. Factor o(l).
4*l**2*(l + 1)*(l + 2)/7
Let a be (28 - 19) + (-1 - 3). Factor -14*y**2 - 20*y - 845*y**a - 345*y**3 - 134*y**2 + 862*y**4 + 568*y**4 - 72*y**2.
-5*y*(y - 1)**2*(13*y + 2)**2
Let y(q) be the second derivative of q**6/40 + 9*q**5/8 + 107*q**4/16 + 39*q**3/4 - 1508*q. Let y(p) = 0. Calculate p.
-26, -3, -1, 0
Suppose 5*s**2 - 550*s + 181 - 1637 - 624*s + 86 + 499*s = 0. Calculate s.
-2, 137
Let i(t) = -t**2 - 23*t - 120. Let h be i(-10). Let u be 360/(-63)*(-4)/h. Factor 2/7*x**3 + 10/7*x**2 + 8/7 + u*x.
2*(x + 1)*(x + 2)**2/7
Let c(r) = 3*r**2 + 2*r - 3. Let s(u) be the third derivative of -1/20*u**5 - 1/12*u**4 + 0*u + 0 + 4*u**2 + 2/3*u**3. Let p(h) = 3*c(h) + 2*s(h). Factor p(m).
(m + 1)*(3*m - 1)
Let c(w) be the third derivative of -w**5/30 - 50*w**4 - 30000*w**3 + 104*w**2. Let c(m) = 0. Calculate m.
-300
Suppose 69/2*s - 33/2 - 3*s**2 = 0. Calculate s.
1/2, 11
Suppose -85 = -19*d + 14*d. Factor -320 - 40*m - 69*m**2 - 23*m + 64*m**2 - d*m.
-5*(m + 8)**2
Let f(l) be the third derivative of 0*l - 61*l**2 - 169/60*l**5 - 3/2*l**3 + 0 - 13/4*l**4. What is s in f(s) = 0?
-3/13
Let c be 72/(-60) - (3360/(-175) + 16). Suppose 2*q - 4*q - 3*i + 8 = 0, 5*i - 8 = -2*q. Determine y so that 6/7*y**c + 8/7 - 32/7*y + 32/7*y**3 - 2*y**q = 0.
-1, 2/7, 1, 2
Factor 65410 - 3*y**2 - 662525 - 114392 + 1169*y + 1753*y.
-3*(y - 487)**2
Let u = 10 - 5. Let c(t) = -2*t - 40. Let y be c(-21). Factor -y*l - l - 4*l - u*l - 16 + 4*l**2.
4*(l - 4)*(l + 1)
Suppose 457 = -4*r - 247. Let g = 1411/8 + r. Suppose 3/8*k**4 + g*k**2 - 3/4*k**3 + 0*k + 0 = 0. Calculate k.
0, 1
What is h in -132/13*h**2 + 84/13 + 122/13*h - 6*h**3 + 4/13*h**4 = 0?
-2, -1/2, 1, 21
Let a(p) = 7*p**3 + 8*p**2 + 41*p - 44. Let x(u) = -15*u**3 - 15*u**2 - 84*u + 88. Let o(y) = 13*a(y) + 6*x(y). Factor o(d).
(d - 1)*(d + 4)*(d + 11)
Let b(x) = 36*x**2 - 933*x + 1872. Let z(r) = 14*r**2 - 466*r + 936. Let v(k) = -4*b(k) + 10*z(k). Factor v(c).
-4*(c - 2)*(c + 234)
Let p(q) be the first derivative of -q**3/3 + 10*q**2 - 17*q + 58. Let l be p(19). Factor -2/9*i**4 - 2/9*i**5 + 2/9*i**l + 2/9*i**3 + 0 + 0*i.
-2*i**2*(i - 1)*(i + 1)**2/9
Let d(z) be the first derivative of 2*z - 8/51*z**3 - 1/102*z**4 - 16/17*z**2 + 7. Let b(q) be the first derivative of d(q). Suppose b(w) = 0. What is w?
-4
Let b(q) = -9*q**3 - q**2 + q + 1. Let j(k) = -16*k**3 + 104*k**2 - 104. Let y(t) = 2*b(t) - j(t). Solve y(w) = 0 for w.
-53, -1, 1
Let b(m) be the first derivative of 3/7*m + 48/35*m**5 - 73 + 30/7*m**4 + 33/7*m**3 + 15/7*m**2. What is p in b(p) = 0?
-1, -1/4
Let n(p) be the second derivative of -13*p - 2 + 23/20*p**5 - 1/15*p**6 + 7/3*p**4 + 32*p**2 - 56/3*p**3 - 1/42*p**7. Let n(r) = 0. Calculate r.
-4, 1, 4
Let t(m) be the first derivative of -m**5/25 + 2*m**4/5 - m**3/3 - 7*m**2/5 + 6226. Factor t(j).
-j*(j - 7)*(j - 2)*(j + 1)/5
Let r be 168/(-49)*(-70)/4. Factor 56*n - 20*n**3 - r*n - 16 + 28*n**2 + 36*n.
-4*(n - 2)*(n + 1)*(5*n - 2)
Let n be ((-962)/1443)/(-1*(-2)/(-1)). Let n*d - 2*d**2 + 1/3 = 0. What is d?
-1/3, 1/2
Let q(v) = 11*v**2 - 5*v + 3*v + 15 - 3*v. Suppose 0 = 3*x + 6*x + 63. Let r(w) = -10*w**2 + 6*w - 14. Let p(i) = x*r(i) - 6*q(i). Factor p(a).
4*(a - 2)*(a - 1)
Let d(y) be the third derivative of -15379*y**8/12 + 61178*y**7/5 - 157937*y**6/5 - 44390*y**5/21 - 817*y**4/14 - 6*y**3/7 + 3871*y**2. Factor d(c).
-4*(c - 3)**2*(91*c + 1)**3/7
Let c(z) be the second derivative of -3*z**5/40 - 47*z**4/4 + 491*z**3/4 - 297*z**2 + 5*z - 82. Factor c(k).
-3*(k - 4)*(k - 1)*(k + 99)/2
Let u(h) be the second derivative of -h**6/15 + 7*h**5 - 306*h**4 + 21386*h**3/3 - 93347*h**2 - 478*h - 2. Solve u(i) = 0 for i.
17, 19
Let g = -4288 - -47272/11. Let p = g - 301/33. Factor -p*s - 1/6 - 1/6*s**2.
-(s + 1)**2/6
Suppose -28*z = -12*z + z + 9*z. Let f = 87/70 + -9/14. Factor 0 + f*s**3 + 1/5*s**2 + 1/5*s**5 + 3/5*s**4 + z*s.
s**2*(s + 1)**3/5
Let v be (-2015)/(-2964) - 117/8892. Suppose -x**4 - 8/3*x + 1 + 0*x**2 - v*x**5 + 10/3*x**3 = 0. Calculate x.
-3, -1, 1/2, 1
Let p(z) = 3*z**3 - 411*z**2 + 12*z + 6. Let s(t) = -3*t**3 + 408*t**2 - 14*t - 7. Let g(o) = -7*p(o) - 6*s(o). Find u such that g(u) = 0.
0, 143
Let i(u) be the first derivative of -u**3/6 - 7*u**2/2 + 434. Factor i(m).
-m*(m + 14)/2
Let z(l) be the third derivative of l**7/70 - 11*l**6/40 + 11*l**5/10 + 15*l**4/2 - 36*l**3 + 439*l**2. Factor z(m).
3*(m - 6)**2*(m - 1)*(m + 2)
Find o, given that 240/7*o - 232/7 - 66/7*o**2 + 2/7*o**3 = 0.
2, 29
Let b(m) be the second derivative of -m**4/24 - 107*m**3 - 103041*m**2 - m + 1195. Suppose b(x) = 0. What is x?
-642
Suppose x - 101 - 33 = 0. Factor -8*m**3 - 270*m**2 - 2*m**4 + 132*m**2 - 3*m**4 - m**5 + x*m**2.
-m**2*(m + 1)*(m + 2)**2
Let z = 23177/34644 + -27/11548. Let h be 14/6 + (-2)/(-6). Factor -z*j**2 + 2*j + h.
-2*(j - 4)*(j + 1)/3
Let i = 405/17 + -208541/8755. Let m = 1068/9785 - i. Determine d so that -m*d**4 + 0*d**3 + 6/19*d**2 + 0 - 4/19*d = 0.
-2, 0, 1
Determine j so that -20 - 2*j**4 + 4*j**2 + 24*j + 12*j**2 - 24*j**3 - 6*j**4 + 12*j**4 = 0.
-1, 1, 5
Suppose 4995 = -5*a - 5*x, -4012 = 4*a + 62*x - 66*x. Let w = -6001/6 - a. Factor 0*p - w*p**3 + 0*p**2 - p**4 - 1/6*p**5 + 0.
-p**3*(p + 1)*(p + 5)/6
Factor -71*o**2 - 119*o**2 + 4543*o - 116*o**2 + 2*o**3 - 33750 + 7607*o.
2*(o - 75)**2*(o - 3)
Let x(c) be the third derivative of c**5/100 + 269*c**4/40 - 27*c**3 + 11*c**2 + 5*c. Find v, given that x(v) = 0.
-270, 1
Let p = 2059 + -1048. Factor -5*s**2 + s**3 + 35 - 1051*s + p*s + 4*s**3 + 25.
5*(s - 2)**2*(s + 3)
Let q = 113 + 34. Solve -3*s + q*s**4 - s**2 + 13*s - 159*s**4 - s**3 - 2*s**5 + 13*s**2 - 7*s**3 = 0 for s.
-5, -1, 0, 1
Let z(n) = -2*n**3 - 17*n**2 - 33*n - 15. Suppose 5*g = 4*d - 26 + 65, 2*g = 4*d + 30. Let r be z(d). Factor -30/19*k**2 - 18/19*k + 0 - 14/19*k**r - 2/19*k**4.
-2*k*(k + 1)*(k + 3)**2/19
Let j(p) be the first derivative of 3*p**4/20 - 22*p**3/5 + 75*p**2/2 - 312*p/5 - 3034. Factor j(u).
3*(u - 13)*(u - 8)*(u - 1)/5
Find u such that -39/4*u**2 - 1/2*u**3 + 21/4*u + 5 = 0.
-20, -1/2, 1
Let g(u) be the first derivative of -5/7*u**4 + 0*u**3 - 26 - 1/7*u**6 + 5/7*u**2 - 4/7*u**5 + 4/7*u. Suppose g(l) = 0. Calculate l.
-1, 2/3
Let p(x) = x**2 + 13*x + 30. Let z be p(0). Factor -30*m - z*m - 108 - 3*m**3 + 29*m + 33*m**2 - 41*m.
-3*(m - 6)**2*(m + 1)
Suppose -g + v + 8 = 4, -2*g + 4*v = -16. Suppose 2*a + g*a = 0, y = -2*a + 11. Factor -y*i**4 + 9*i**5 + 12*i**3 - 4*i**2 + i**5 - 7*i**5.
i**2*(i - 2)*(i - 1)*(3*i - 2)
Factor 1476*f - 1/6*f**4 + 3024 + 234*f**2 + 11*f**3.
-(f - 84)*(f + 6)**3/6
Factor 9590/9*z - 2/9*z**3 - 4796/9 - 4792/9*z**2.
-2*(z - 1)**2*(z + 2398)/9
Let o be (-6)/((-36)/(-94)) - 5/(-3). Let k(x) = -6*x**2 + 42*x - 22. Let g(m) = -m**2 + 7 + 3*m**2 - 14*m + 0*m. Let n(w) = o*g(w) - 5*k(w). Factor n(d).
2*(d - 6)*(d - 1)
Determine m, given that 0 - 1/3*m**5 + 0*m - 28*m**2 + 6*m**4 + 67/3*m**3 = 0.
-4, 0, 1, 21
Find l such that -3682 - 139*l + 1062 - 4*l**2 - 133*l - 109*l - 163*l = 0.
-131, -5
Let s(k) be the second derivative of -k**6/2520 + k**5/210 + 23*k**3/6 - 3*k. Let m(u) be the second derivative of s(u). Factor m(j).
-j*(j - 4)/7
Let v(q) be the second derivative of 0*q**2 - 64/273*q**7 - 17*q + 1 - 462/65*q**5 - 19/39*q**3 - 229/78*q**4 - 1264/195*q**6. Fin