a) - 3*t(a). Factor q(s).
3*s*(s - 2)*(s + 8)
Let g(b) be the first derivative of -b**7/105 + b**6/18 + 11*b**5/30 + 2*b**4/3 - b**3/3 - 7. Let z(x) be the third derivative of g(x). Factor z(r).
-4*(r - 4)*(r + 1)*(2*r + 1)
Let b(f) = -2*f**3 - 12*f**2 + 13*f - 4. Let a(r) = -r**3 + r. Let i(p) = -4*a(p) - 2*b(p). Factor i(o).
2*(o + 4)*(2*o - 1)**2
Let n(h) be the first derivative of h**7/840 + h**6/240 - h**5/80 - h**4/24 + h**3/6 + 10*h**2 - 35. Let s(m) be the second derivative of n(m). Factor s(y).
(y - 1)**2*(y + 2)**2/4
Let r(o) be the second derivative of 0*o**2 - 2/3*o**4 + 0 - 4/3*o**3 - 1/10*o**5 + 29*o. Factor r(u).
-2*u*(u + 2)**2
Let u(s) be the third derivative of -9*s**2 - 2/15*s**3 + 1/300*s**6 - 1/20*s**4 + 0*s**5 + 0*s + 0. Factor u(g).
2*(g - 2)*(g + 1)**2/5
Factor 279*b**2 - 226*b + 17405 - 274*b**2 + 816*b.
5*(b + 59)**2
Let q = 414/7 - 5368/91. Find s, given that 2/13*s + 2/13*s**4 + 2/13 - 4/13*s**3 + q*s**5 - 4/13*s**2 = 0.
-1, 1
Let z be 2*(-4 + 324/80)*24. Factor z*b**3 - 21/5*b**2 - 6/5*b + 0.
3*b*(b - 2)*(4*b + 1)/5
Let m(p) be the third derivative of -p**7/42 + 25*p**6/24 + 53*p**5/12 + 45*p**4/8 - 83*p**2 + 4. Factor m(t).
-5*t*(t - 27)*(t + 1)**2
Let y be (-2)/(22/26 - 1). Let v = -11 + y. Factor -2*q - 9*q**2 + 3*q**2 - 10*q**v + 0*q + 4 - 10*q**3.
-2*(q + 1)**2*(5*q - 2)
Let r(i) = -i**3 + 4*i**2 + 7*i - 2. Let j be r(5). Let u be -4 - (44/28 + -3)*7. Let 4*w**3 + 6*w + j*w**2 - u*w = 0. Calculate w.
-2, 0
Suppose 4*j = 2*c, 3*c + j = -4*j + 11. Suppose -6 + 30 = 6*a. Factor -4*n**3 + a*n**4 + 13 + c + 16*n - 12*n**2 + 1 - 4*n**3.
4*(n - 2)**2*(n + 1)**2
Let h = -1/1777 - 49739/30209. Let g = 152/51 + h. Factor -1/3*j**2 + g*j - 4/3.
-(j - 2)**2/3
Let j be (-3)/((24/20)/((-14)/175)). Determine q so that -1/5*q**3 - 2/5*q**2 + 0 - j*q = 0.
-1, 0
Let q(w) be the first derivative of 2*w**3/27 + 8*w**2/9 + 8*w/3 + 7. Find b such that q(b) = 0.
-6, -2
Let j be (-4)/28 + 234/21. Factor -237 + 6 + 150*q - 133 + 3*q**4 + 180*q**2 - j + 42*q**3.
3*(q - 1)*(q + 5)**3
Let c(k) = k + 37. Let j be c(-16). Suppose 0 = -j*u + 31*u. Let -28/5*y**2 - 12/5*y + 28/5*y**4 - 4/5*y**3 + 16/5*y**5 + u = 0. What is y?
-1, -3/4, 0, 1
Let j(i) = -164*i**2 + 147*i**2 - 47*i - 7 - 10*i. Let a(n) = -9*n**2 - 29*n - 4. Let l(s) = 7*a(s) - 4*j(s). Factor l(h).
5*h*(h + 5)
Let w(y) be the first derivative of -12/5*y**5 + 0*y + 4*y**4 - 4 - 16/9*y**3 + 0*y**2. Determine a, given that w(a) = 0.
0, 2/3
Suppose 5*p - 22 = -3*v, 7 = p + v + 1. Let 3*z**2 + 0*z - 9*z**p + 3*z = 0. Calculate z.
0, 1/2
Let g(q) be the second derivative of -7*q**5/90 - 23*q**4/54 - 20*q**3/27 - 4*q**2/9 - 7*q - 1. Let g(d) = 0. Calculate d.
-2, -1, -2/7
Let b(q) = 16*q**4 - q**2 + 11 + q**3 - 12 - 17*q**4. Let m(x) = 6*x**4 - 3*x**3 + 4*x**2 - 2*x + 5. Let i(t) = 5*b(t) + m(t). Factor i(o).
o*(o - 1)*(o + 1)*(o + 2)
Let b(t) be the first derivative of -t**5/10 + 7*t**4/8 + t**3/2 - 19*t**2/4 - 7*t - 5. Factor b(y).
-(y - 7)*(y - 2)*(y + 1)**2/2
Let -4*w**3 + 0 - 10/3*w**2 - w - 1/3*w**5 - 2*w**4 = 0. Calculate w.
-3, -1, 0
Factor 19/3 + 20/3*a + 1/3*a**2.
(a + 1)*(a + 19)/3
Factor 522*n - 2192*n + 328*n**2 - 3764*n - 4*n**3 - 2171*n + 881*n.
-4*n*(n - 41)**2
Let s(h) = 3*h**2 - 32*h + 23. Suppose 7 = b + 8. Let f(l) = l**2 + l + 1. Let t(a) = b*s(a) - 2*f(a). Factor t(j).
-5*(j - 5)*(j - 1)
Let f be -4 + 10 - 1*(2 - 4). Determine h, given that h**3 + 2*h**2 + 17 - 17 - f*h + 9*h = 0.
-1, 0
Suppose -4*j + 0 + 24 = 0. Let r(a) = 10*a**4 + 16*a**3 - a**2 + 7*a. Let i(v) = 3*v**4 + 5*v**3 + 2*v. Let l(n) = j*r(n) - 21*i(n). Factor l(s).
-3*s**2*(s + 1)*(s + 2)
Factor -9/2*f - 1/4*f**2 - 81/4.
-(f + 9)**2/4
Let q(m) be the third derivative of -m**5/60 + m**4/24 + 15*m**3 + 3*m**2 + 78. Factor q(y).
-(y - 10)*(y + 9)
Let p(x) = -4*x**2 + 12. Let k(z) = -143*z - 7*z**2 + 60 + 144*z - 14*z**2. Let f(d) = -4*k(d) + 22*p(d). Determine v, given that f(v) = 0.
-3, 2
Let s = -715 + 717. Let d(q) be the second derivative of 0*q**s + 1/18*q**4 - 2/9*q**3 - 1/45*q**6 + 0 - 9*q + 1/15*q**5. Factor d(i).
-2*i*(i - 2)*(i - 1)*(i + 1)/3
Let h be (2/(-5))/(16/(-200)). Suppose -5*x + 13 = -7. Solve 4*y**3 - h*y**3 + 0*y + x*y**3 - 3*y = 0.
-1, 0, 1
Let b(r) be the second derivative of r**5/270 - 7*r**2/2 - 4*r. Let a(w) be the first derivative of b(w). Solve a(y) = 0 for y.
0
Suppose -2*v + 4 = 2. Suppose -5*a - v = 4*p - 4, -3*p = 4*a - 2. Solve -n - n**p + 0 + n + 1 = 0.
-1, 1
Let s(i) be the second derivative of i**4/4 - i**3/2 + 8*i + 1. Factor s(m).
3*m*(m - 1)
Suppose 0 = -5*o + 5, -8*o + 3*o = -4*h + 19. Let c be (-3)/h - (-6)/((-144)/(-20)). Let -c*b**2 - 2/3 - b = 0. What is b?
-2, -1
Let u(d) = 2*d**2 + 3*d + 1. Let l be u(-2). Let s(k) be the first derivative of 3/5*k**5 + 0*k + 7 - 3/2*k**2 + l*k**3 - 9/4*k**4. Factor s(j).
3*j*(j - 1)**3
Let q(c) be the second derivative of c**5/40 - 3*c**4/4 + 47*c**3/12 - 15*c**2/2 + c + 33. Factor q(n).
(n - 15)*(n - 2)*(n - 1)/2
Suppose -9*o - 426 = -444. Determine f so that 4/3*f - 1/3 + 2/3*f**3 - 5/3*f**o = 0.
1/2, 1
Let l be (-6)/(2 - 26/6). Let u be 2 - (-5)/(45/(-18)). Factor -l*j**3 - 10/7*j**5 + 4/7*j**2 + 0*j + 24/7*j**4 + u.
-2*j**2*(j - 1)**2*(5*j - 2)/7
Let l = 465/44 - 51/22. Let u = l + -8. Factor 1/4*f**2 - 1/4*f**3 - u + 1/4*f.
-(f - 1)**2*(f + 1)/4
Let p(b) be the second derivative of b**6/75 + 23*b**5/25 + 3*b**4/2 + 22*b. Solve p(d) = 0.
-45, -1, 0
Let b(m) be the second derivative of m**5/120 - 23*m**4/72 + 10*m**3/3 + 12*m**2 - 622*m. Factor b(h).
(h - 12)**2*(h + 1)/6
Let l(p) be the second derivative of 2*p**7/315 + p**6/90 - 13*p**2 - 17*p. Let d(h) be the first derivative of l(h). Let d(w) = 0. Calculate w.
-1, 0
Determine m so that -2/17*m**3 - 38/17*m - 40/17*m**2 + 0 = 0.
-19, -1, 0
Let n be ((-18)/(-63))/(2/14) + (-27)/15. Find i such that 1/5*i**3 - 2/5*i + n*i**2 + 0 = 0.
-2, 0, 1
Let n(v) be the second derivative of -v**7/126 + v**6/180 - v**4/6 + 10*v. Let u(l) be the third derivative of n(l). Suppose u(w) = 0. Calculate w.
0, 1/5
Let l be ((-90)/(-21))/(-2) + 2/14. Let h be l/11 + 48/132. Suppose 0 - 2/11*r**2 + h*r = 0. Calculate r.
0, 1
Determine s so that 9*s - s**4 - 20*s + 7*s**3 - s**3 + 27*s**2 - 2*s**4 - 24 + 5*s = 0.
-2, -1, 1, 4
Let g(u) be the second derivative of -u**4/12 + 19*u**3/24 + 5*u**2/8 + 34*u. Find j, given that g(j) = 0.
-1/4, 5
Let x(n) be the third derivative of -n**5/20 + 85*n**4/32 - 21*n**3/8 + 512*n**2. Find v such that x(v) = 0.
1/4, 21
Let u(s) = 20*s**3 - 73*s**2 + 111*s + 9. Let c(q) = 5*q**3 - 19*q**2 + 28*q + 2. Let z(t) = 9*c(t) - 2*u(t). Suppose z(d) = 0. What is d?
0, 2, 3
Suppose 38*u - 117 = -u. Let s(j) be the third derivative of 1/300*j**6 - 6*j**2 - 1/15*j**u + 0 + 1/150*j**5 + 0*j - 1/60*j**4. Factor s(k).
2*(k - 1)*(k + 1)**2/5
Let b(t) be the third derivative of -t**8/840 + t**6/150 - t**4/60 + 107*t**2. Factor b(f).
-2*f*(f - 1)**2*(f + 1)**2/5
Suppose 2 = -1404*i + 1405*i. Let r(s) be the first derivative of 9 + 2/3*s**3 + i*s**2 + 2*s. Find q, given that r(q) = 0.
-1
Let i be (26/(-130))/((-10)/(-25) + -1). Determine n so that 0 + 5/6*n**2 - i*n - 5/6*n**4 + 1/3*n**3 = 0.
-1, 0, 2/5, 1
Let u(g) be the second derivative of -49152/5*g**5 + 0 + 24*g - 1152*g**3 - 4608*g**4 - 162*g**2 - 131072/15*g**6. Let u(v) = 0. Calculate v.
-3/16
Let o(u) be the third derivative of u**6/120 + u**5/5 - 7*u**4/6 - 5*u**2 - 27*u. Factor o(l).
l*(l - 2)*(l + 14)
Let t(r) = 9*r - 17. Let q be t(-4). Let a = -39 - q. What is o in 14*o**3 + 8/5 + 78/5*o**4 - a*o**5 + 0*o - 86/5*o**2 = 0?
-1, -2/7, 2/5, 1
Factor 2258 + 9*k**3 - 12*k - 3*k**4 - 2258.
-3*k*(k - 2)**2*(k + 1)
Let j(v) be the first derivative of -v**3/6 - 55*v**2 - 6050*v + 346. Factor j(q).
-(q + 110)**2/2
Let k = 22 - 19. Let a(n) be the third derivative of 0*n + 1/360*n**5 + 1/36*n**k + 0 + 1/72*n**4 + 3*n**2. Factor a(g).
(g + 1)**2/6
Let p(y) be the third derivative of 5/3*y**3 + 15*y**2 - 5/336*y**8 + 25/24*y**4 + 0 - 1/6*y**6 + 1/6*y**5 + 0*y - 2/21*y**7. Factor p(r).
-5*(r - 1)*(r + 1)**3*(r + 2)
Let l(u) be the second derivative of -u**6/10 - 3*u**5/4 - 3*u**4/4 + 5*u**3/2 + 6*u**2 - 217*u. Determine j so that l(j) = 0.
-4, -1, 1
Let i(x) be the third derivative of 5*x**8/336 + x**7/42 - x**6/12 - x**5/6