tive of -l**7/945 + l**6/540 + 7*l**5/270 - l**4/108 - 2*l**3/9 - 5*l**2 + 6*l. Find h such that c(h) = 0.
-2, -1, 1, 3
Let g(x) be the first derivative of 3*x**5/5 - 6*x**3 - 12*x**2 - 9*x - 45. Factor g(v).
3*(v - 3)*(v + 1)**3
Let u(h) = -5*h**3 - 18*h**2 - 22*h + 2. Let w(i) = -10*i**3 - 35*i**2 - 45*i + 5. Let z(n) = -5*u(n) + 2*w(n). Solve z(d) = 0 for d.
-2, 0
Let v(o) = -o**4 + o**3 - o**2 - o - 1. Let h(k) = 6*k**4 - 26*k**3 - 2*k**2 + 26*k + 26. Let p(w) = h(w) + 10*v(w). Determine t so that p(t) = 0.
-2, -1, 1
Suppose -5*q = 4*z - 2*z - 19, -4*z - 2 = 2*q. Suppose -q*s + 5*r = -35, -5*s + 3*r = 2*r - 15. Factor -2*o + 2*o**3 - 12*o**s - 5*o**3 + 7*o**2.
-o*(o + 1)*(3*o + 2)
Let k(v) be the first derivative of -4/21*v**3 + 0*v - 1/63*v**6 + 4/35*v**5 - 4/21*v**4 + 3/7*v**2 + 18. Solve k(j) = 0.
-1, 0, 1, 3
Let u = -29 + 32. Let f be ((-1)/14)/(-1 - u/(-4)). Suppose 2/7*j**2 - 4/7*j + f = 0. Calculate j.
1
Let i(l) be the third derivative of 1/30*l**5 + 0 + 1/6*l**4 + 0*l + 0*l**3 - 3*l**2. Find h, given that i(h) = 0.
-2, 0
Suppose 0 = -2*h - 4*z + 4, -4*z + 1 = 3*h - 5. Factor -4*m**5 - m**h - 2*m**3 + 3*m**5 + m**2 + 3*m**4.
-m**3*(m - 2)*(m - 1)
Factor -4*u**3 + 4*u**3 + 24*u - u**3 + 15*u**2 + 4*u**3 + 12.
3*(u + 1)*(u + 2)**2
Let b(m) be the second derivative of -m**5/12 + 5*m**4/6 - 10*m**3/3 + 25*m**2 - 20*m. Let v(q) be the first derivative of b(q). Factor v(o).
-5*(o - 2)**2
Let l(i) = i - 8. Let b(g) = 4*g**2 + 1172*g + 86468. Let u(x) = b(x) + 4*l(x). Let u(n) = 0. What is n?
-147
Let x(k) be the first derivative of 2*k**3/19 + 7*k**2/19 + 208. Let x(i) = 0. Calculate i.
-7/3, 0
Let v(p) be the first derivative of -1/6*p**6 + 4/3*p**3 - 1/2*p**2 + 0*p + 4/5*p**5 - 8 - 3/2*p**4. Factor v(z).
-z*(z - 1)**4
Let w(x) be the third derivative of 2*x**7/105 + 7*x**6/10 + 19*x**5/5 + 55*x**4/6 + 12*x**3 + 35*x**2 + 4*x. Factor w(j).
4*(j + 1)**3*(j + 18)
Let a(j) = -6*j**2 + 60*j. Let q(t) = -26*t**2 + 244*t. Let b(r) = -9*a(r) + 2*q(r). Factor b(m).
2*m*(m - 26)
Factor 2*s**3 - 127 - 416 - 48*s**2 + 130*s - 429 + 248*s.
2*(s - 9)**2*(s - 6)
Suppose -14*b**4 + 65*b + 440*b**2 + 720 - 50*b**3 - 30*b**3 - 21*b**4 + 1135*b + 5*b**5 = 0. Calculate b.
-2, -1, 6
Let z be (1666/(-51) + 34)*((-6)/8 - -1). Let -2/3*y**5 - 1/3*y + 0 + y**3 + z*y**2 - 1/3*y**4 = 0. What is y?
-1, 0, 1/2, 1
Let b be -2 + (1 - -3) - (5 - 8). Let d(t) be the second derivative of -2/33*t**3 + 1/165*t**6 + 0 + 0*t**2 - 8*t + 1/55*t**b - 1/66*t**4. Factor d(u).
2*u*(u - 1)*(u + 1)*(u + 2)/11
Let c(r) be the third derivative of -r**6/60 - r**5 + r**4/12 + 10*r**3 + 103*r**2 + 1. Factor c(d).
-2*(d - 1)*(d + 1)*(d + 30)
Let b(o) be the third derivative of -o**7/210 - o**6/24 + o**5/60 + 5*o**4/24 - 73*o**2. Factor b(l).
-l*(l - 1)*(l + 1)*(l + 5)
Factor -6*v**2 - 2/11*v**4 - 224/11*v + 28/11*v**3 - 128/11.
-2*(v - 8)**2*(v + 1)**2/11
Let b(m) = -5*m**4 + m**3 + 3*m**2 - 19*m + 11. Suppose 4*r = 8 - 12. Let p(y) = y**4 + y**3 + y**2 + y - 1. Let l(v) = r*b(v) - 3*p(v). Factor l(o).
2*(o - 2)*(o - 1)**2*(o + 2)
Suppose 0 = 4*o + 2*v - 22, -2*v = -o - 5*v + 13. Let u(x) be the second derivative of 9*x + 0 - 9/4*x**o + 6*x**2 - 8*x**3. Factor u(z).
-3*(z + 2)*(9*z - 2)
Let j(f) be the second derivative of f**4/36 - 4*f**3/9 - 11*f**2/2 + 22*f + 2. Let j(d) = 0. Calculate d.
-3, 11
Suppose -6*p + 46 = -2. Factor -5 - 12*s**3 + s**4 - 2*s + p - 4*s**2 + 14*s**3.
(s - 1)**2*(s + 1)*(s + 3)
Let u(v) = v**4 - 6*v**2 - 4*v + 1. Let o(f) = -f**4 + 7*f**2 + 5*f - 1. Let y be (-40)/18 + (-6)/(-27). Let m = 2 - y. Let g(l) = m*o(l) + 5*u(l). Factor g(t).
(t - 1)**2*(t + 1)**2
Factor 0*y + 0*y**2 - 12/13*y**3 + 0 - 14/13*y**4 - 2/13*y**5.
-2*y**3*(y + 1)*(y + 6)/13
Let q be 2/(882/329) - (-4)/28. Factor -2/9 - q*i**2 + 10/9*i.
-2*(i - 1)*(4*i - 1)/9
Let f(g) be the first derivative of -g**5/10 + g**4 - 7*g**3/6 + 83. Factor f(l).
-l**2*(l - 7)*(l - 1)/2
Suppose -5274 = -0*t - 6*t. Factor -t*u + 31*u**3 + 5*u**2 + 80 + 5*u**4 + 759*u - u**3.
5*(u - 1)**2*(u + 4)**2
Let f(k) be the third derivative of -k**8/336 - k**7/105 + k**6/40 + k**5/15 - k**4/6 - 144*k**2. Factor f(g).
-g*(g - 1)**2*(g + 2)**2
Let d(j) be the third derivative of j**10/529200 - j**9/105840 + j**7/8820 - j**6/2520 - j**5/5 - 4*j**2. Let a(n) be the third derivative of d(n). Factor a(p).
2*(p - 1)**3*(p + 1)/7
Let g be (-7 - -4) + (-438)/(-84) + 2/(-4). Determine h so that g + 9/7*h - 3/7*h**2 = 0.
-1, 4
Find u such that 6/5*u**3 - 4/5*u - 2/5*u**5 + 2/5*u**2 + 0 - 2/5*u**4 = 0.
-2, -1, 0, 1
Let r(o) be the third derivative of -o**8/448 + o**7/28 - o**6/4 + o**5 - 5*o**4/2 + 4*o**3 + 155*o**2. Solve r(a) = 0.
2
Let r = 5377/21510 - -1/43020. Factor 1/2 + 3/4*y**3 - r*y**2 - 3/4*y - 1/4*y**4.
-(y - 2)*(y - 1)**2*(y + 1)/4
Let u(n) be the third derivative of n**9/1512 - n**8/210 + n**7/140 + n**3 + 29*n**2. Let w(f) be the first derivative of u(f). Factor w(m).
2*m**3*(m - 3)*(m - 1)
Let v be (10 - 7)/((-6)/(-4)). Let -58*o**3 - 48*o**v - 21*o**4 - 3*o**5 - 6*o**4 + 3*o**3 - 17*o**3 = 0. What is o?
-4, -1, 0
Let n(b) be the third derivative of b**8/168 - 2*b**7/105 + b**5/15 - b**4/12 - 44*b**2. Factor n(y).
2*y*(y - 1)**3*(y + 1)
Let m = 19 + -16. What is p in -249*p**3 - 2*p**2 + 247*p**m - 2*p**2 + 6*p = 0?
-3, 0, 1
Let x(j) be the second derivative of -25*j**4/6 + 210*j**3 - 3969*j**2 - j - 50. Factor x(c).
-2*(5*c - 63)**2
Factor -7/5*h - 1/5*h**2 - 12/5.
-(h + 3)*(h + 4)/5
Let j(w) be the first derivative of w**3 - 15*w**2 - 9. Factor j(a).
3*a*(a - 10)
Let y be 0*(56/(-21) + 3). Let s(g) be the first derivative of 2/15*g**5 + 5 - 1/6*g**2 + 0*g - 2/9*g**3 + y*g**4 + 1/18*g**6. Factor s(u).
u*(u - 1)*(u + 1)**3/3
Factor -12/7*b**2 - 50/7*b - 36/7 + 2/7*b**3.
2*(b - 9)*(b + 1)*(b + 2)/7
Let h(q) be the third derivative of 6*q**2 + 1/840*q**7 - 1/160*q**6 + 0 - 1/12*q**3 + 1/240*q**5 + 1/32*q**4 + 0*q. Let h(w) = 0. Calculate w.
-1, 1, 2
Determine d so that 106/9*d**3 + 44/9*d**2 + 2/3*d**5 + 0*d + 0 - 76/9*d**4 = 0.
-1/3, 0, 2, 11
Let m = -47/110 - -17/10. Let 10/11*h**3 + 0 + m*h**2 + 4/11*h = 0. Calculate h.
-1, -2/5, 0
Suppose -30*v + 22*v + 32 = 0. Let p(h) be the first derivative of v + 2/15*h**3 + 0*h - 1/5*h**2. Find w such that p(w) = 0.
0, 1
Let z(m) be the second derivative of 3*m**2 + 1/2*m**4 - 6*m - 3/2*m**3 - 1/20*m**5 + 0. Let x(p) be the first derivative of z(p). Factor x(q).
-3*(q - 3)*(q - 1)
Let x(s) be the third derivative of -s**5/15 + s**4/3 + 10*s**3 - 70*s**2. Factor x(q).
-4*(q - 5)*(q + 3)
Suppose -1393*t + 1391*t = 4*u + 10, 4*t = -4*u - 20. Factor 3*i**4 + u + 3/2*i**5 + 0*i + 6*i**2 - 21/2*i**3.
3*i**2*(i - 1)**2*(i + 4)/2
Let f(l) = -8 - l**2 + 12 - 11*l + 9. Let o be f(-9). Let 3*q**3 - 24*q**2 + o*q**2 + 9 - 2*q**3 + 17*q - 2*q = 0. Calculate q.
-3, -1
Let k(f) be the third derivative of -1/65*f**5 + 0*f - 1/780*f**6 + 48*f**2 + 0*f**3 + 7/156*f**4 + 0. Factor k(t).
-2*t*(t - 1)*(t + 7)/13
Let i(r) = r**5 + r**4 - 7*r**3 + 11*r**2 - 2*r. Let u(b) = b**4 - b**3 + b. Let l(o) = -i(o) + 4*u(o). Suppose l(c) = 0. What is c?
-2, 0, 1, 3
Factor 15*d**2 - d**2 - 3*d**2 - 2*d**2 - 7*d**2 - 18.
2*(d - 3)*(d + 3)
Let p(b) be the third derivative of -b**6/40 - b**5/4 - b**4 - 2*b**3 - 59*b**2. Factor p(k).
-3*(k + 1)*(k + 2)**2
Let s(h) = -29*h + 16*h**3 + 19*h - h**2 - 6*h**3 - 6. Let l(c) = 7*c**3 - c**2 - 7*c - 4. Let r(n) = -7*l(n) + 5*s(n). Factor r(k).
(k - 1)*(k + 1)*(k + 2)
Factor -599*p**3 + 604*p**3 - 5*p + 11*p**4 - 12*p**4 + p**2.
-p*(p - 5)*(p - 1)*(p + 1)
Let u(v) be the first derivative of -v**5/120 + v**4/12 - v**3/3 + 16*v**2 + 16. Let s(i) be the second derivative of u(i). Determine q so that s(q) = 0.
2
Let w(t) be the first derivative of 34*t**3/27 + 86*t**2/9 + 10*t/9 - 4. Factor w(n).
2*(n + 5)*(17*n + 1)/9
Let j(v) = 5*v**2 - 2. Let f(y) = 21*y**2 + 6*y + 1. Let g(p) = p**2 + p + 1. Let l(w) = f(w) - 6*g(w). Let d(u) = 10*j(u) - 3*l(u). Factor d(b).
5*(b - 1)*(b + 1)
Let k be 8/(-14) + 324/126. Suppose k*a - 4*r + 3*r = 7, 5*a - 13 = -2*r. Find x, given that 11*x**a - 3*x - 3 + 3 - 10*x**3 - 2 = 0.
-1, 2
Let x = -130 + 132. Let w be (6/x)/(-3)*6/(-4). Factor -3 - 3/2*z + w*z**2.
3*(z - 2)*(z + 1)/2
Suppose 2*h - 16 = -10. Let c be ((-8)/(-6))/(14/h). Factor -c*k