vative of 5/18*z**3 + 36*z**2 + 1/48*z**4 - 1/360*z**5 + 0*z + 0. Determine t, given that a(t) = 0.
-2, 5
Let f(w) be the second derivative of 0*w**2 - 4/45*w**3 + 2/45*w**4 + 0 + 9*w - 1/150*w**5. Let f(m) = 0. Calculate m.
0, 2
Let a be -19*((-20)/(-16))/(-5)*-28. Let j = 935/7 + a. Factor j*v**4 - 8/7*v + 8/7*v**3 - 4/7 + 0*v**2.
4*(v - 1)*(v + 1)**3/7
Factor -55*x + 46*x**2 - 14*x**2 - 62*x**2 - 30 - 5*x**3.
-5*(x + 1)*(x + 2)*(x + 3)
Let a be -2*3/6*0. Suppose a + 8 = 4*v. Let 4*x**3 - 2*x**2 + 5*x**v + 18*x + 18*x - 27*x**2 = 0. Calculate x.
0, 3
Let x(r) be the third derivative of r**6/30 - 34*r**5/15 + 11*r**4/2 + 234*r**2. What is p in x(p) = 0?
0, 1, 33
Let g be ((-990)/528)/(5/(-4)). Let p(a) = a**2 + a + 2. Let f be p(0). Factor g*b**f + 3/2*b + 0.
3*b*(b + 1)/2
Let x(s) be the first derivative of 18*s**5 - 219*s**4/4 + 11*s**3 + 42*s**2 + 12*s + 97. Determine u so that x(u) = 0.
-2/5, -1/6, 1, 2
Factor -2*w**2 + 0 + 25/12*w - 1/12*w**3.
-w*(w - 1)*(w + 25)/12
Let u(b) be the second derivative of b**4/54 - 8*b**3/3 + 144*b**2 - 77*b. Factor u(c).
2*(c - 36)**2/9
Let m(a) be the third derivative of -a**6/60 - 47*a**5/15 - 176*a**4 + 1536*a**3 - 878*a**2. Factor m(d).
-2*(d - 2)*(d + 48)**2
Let a(v) be the first derivative of -2/3*v**4 + 32/15*v**5 - 7/9*v**6 + 0*v**2 - 12 + 0*v + 0*v**3. Factor a(t).
-2*t**3*(t - 2)*(7*t - 2)/3
Let f(l) = 2*l**3 + 78*l**2 + 132*l - 1209. Let t(w) = 3*w**3 + 157*w**2 + 263*w - 2416. Let k(g) = 7*f(g) - 3*t(g). Find y such that k(y) = 0.
-9, 3
Factor -289/3 + 34/3*g - 1/3*g**2.
-(g - 17)**2/3
Find o such that 0*o**2 + 0*o - 4/3*o**4 + 4/3*o**5 + 0 + 0*o**3 = 0.
0, 1
Let h(c) be the first derivative of c**6/24 - c**5/5 + 5*c**4/16 - c**3/6 - 162. Factor h(a).
a**2*(a - 2)*(a - 1)**2/4
Let d(z) be the second derivative of 3/20*z**5 + 0 + 3/2*z**2 - 6*z - 1/4*z**4 - 1/2*z**3. Factor d(k).
3*(k - 1)**2*(k + 1)
Suppose 2*l - 11 = 18*x - 17*x, 35 = 5*l - 4*x. Solve 0 - l*v**2 + 1/2*v**3 + 9/2*v = 0.
0, 3
Let y(c) = -c**4 + c**3 - 5*c**2 + 15*c - 6. Let p(t) = 3*t**4 - 3*t**3 + 9*t**2 - 30*t + 12. Suppose -2*o + 8 = -4*o. Let a(j) = o*p(j) - 9*y(j). Factor a(b).
-3*(b - 1)**3*(b + 2)
Let r(a) be the first derivative of -a**3/15 - 3*a**2/2 - 54*a/5 - 341. Solve r(y) = 0.
-9, -6
Let y = 2/2895 + 577/2895. Factor 0 - 6/5*l**2 - 12/5*l**3 - y*l - 2*l**4 - 3/5*l**5.
-l*(l + 1)**3*(3*l + 1)/5
Let t(i) be the third derivative of -49*i**8/64 - 77*i**7/20 + 273*i**6/40 - 41*i**5/10 + i**4 - 109*i**2. Factor t(u).
-3*u*(u + 4)*(7*u - 2)**3/4
Let a(k) be the second derivative of -k**5/5 + 5*k**4/3 + 2*k**3/3 - 10*k**2 - 5*k - 17. Solve a(v) = 0.
-1, 1, 5
Let a(h) = 2*h + 3*h - 3*h - 4. Let r be a(3). Factor 3 + 3*d - 6*d**2 - 5 - d**r + 6*d**2.
-(d - 2)*(d - 1)
Let q(v) be the third derivative of -28*v**2 + 8*v**3 - v**4 + 0 + 1/20*v**5 + 0*v. Suppose q(d) = 0. Calculate d.
4
Let v(o) be the second derivative of -10/11*o**4 + 0 - 63/55*o**5 - o - 49/165*o**6 + 0*o**2 - 8/33*o**3. Factor v(r).
-2*r*(r + 2)*(7*r + 2)**2/11
Let p(t) be the second derivative of -t**10/36288 + t**8/8064 + t**4 - 17*t. Let s(f) be the third derivative of p(f). Solve s(v) = 0 for v.
-1, 0, 1
Let p(t) be the third derivative of t**5/30 + t**4/6 - 8*t**3/3 - t**2 + 14. Determine l, given that p(l) = 0.
-4, 2
Factor -2*g - 4*g**2 + 0 + 5/2*g**4 + 7/2*g**3.
g*(g - 1)*(g + 2)*(5*g + 2)/2
Let o(k) be the second derivative of -k**7/105 + k**6/25 + k**5/50 - k**4/10 + 4*k + 7. Suppose o(p) = 0. Calculate p.
-1, 0, 1, 3
Factor -36/5*n - 2*n**2 + 56/5 - 1/5*n**4 + 9/5*n**3.
-(n - 7)*(n - 2)**2*(n + 2)/5
Let o(l) be the third derivative of 0*l + 1/4*l**4 - 1/30*l**5 - 1/20*l**6 + 1/105*l**7 + 0*l**3 + 0 - 11*l**2. Factor o(k).
2*k*(k - 3)*(k - 1)*(k + 1)
Let n = 5585 + -5581. Solve -8/5*r**2 - 16/5*r + 204/5*r**3 + 162/5*r**5 - 342/5*r**n + 0 = 0.
-2/9, 0, 2/3, 1
Let k(h) = -h**4 + 2*h**3 + h**2 + h - 2. Let j(f) = -8*f**4 - 78*f**3 - 956*f**2 + 1248*f + 2104. Let w(r) = j(r) - 6*k(r). Factor w(q).
-2*(q - 2)*(q + 1)*(q + 23)**2
Let b(c) be the third derivative of c**5/60 + c**4/4 - 234*c**2. Let b(a) = 0. What is a?
-6, 0
Suppose 13/7 + 11/7*d**2 + 25/7*d - 1/7*d**3 = 0. What is d?
-1, 13
Suppose 0 = 13*d - 2481 - 405. Let q = d - 1108/5. What is n in q*n**2 + 2/5*n - 4/5 = 0?
-2, 1
Let l(p) be the third derivative of p**5/12 + 55*p**4/24 - 10*p**3 - 29*p**2 - 2. Let l(d) = 0. Calculate d.
-12, 1
Factor 8*h - h**4 + 28*h**2 - 8*h**3 - 27 + 32*h + 26*h - 40*h - 18*h**3.
-(h - 1)**2*(h + 1)*(h + 27)
Find v such that 2/15*v**2 + 2/5*v + 0 = 0.
-3, 0
Suppose 272 = -6*k - 16. Let h be (-9)/(-15) - (k/20 - -1). Factor 2/3*c**3 - 2/3*c + 4/3 - 4/3*c**h.
2*(c - 2)*(c - 1)*(c + 1)/3
Let x(a) be the first derivative of 3*a**4/8 - a**3 - 93*a**2/4 - 42*a + 213. Suppose x(k) = 0. What is k?
-4, -1, 7
Let m(w) be the second derivative of w**6/30 + 2*w**5/5 + 11*w**4/6 + 4*w**3 + 9*w**2/2 - w + 6. Suppose m(c) = 0. Calculate c.
-3, -1
Suppose 55 + 25 = 20*w. Let v(o) be the first derivative of 1/10*o**w + 0*o - 2/5*o**2 + 3 - 2/15*o**3. Find y, given that v(y) = 0.
-1, 0, 2
Let f(a) be the first derivative of 3*a**4/4 + 34*a**3/5 + 147*a**2/10 + 12*a - 94. Factor f(s).
3*(s + 1)*(s + 5)*(5*s + 4)/5
Let p be ((-166)/415 - 7/(-5))*3. What is w in -32/3*w - 16/3 + 8/3*w**p + 4/3*w**4 - 4*w**2 = 0?
-2, -1, 2
Factor -450*s**3 + 451*s**3 - 2*s**2 + s**4 - s + s**2.
s*(s - 1)*(s + 1)**2
Let i(h) = h**3 + 18*h**2 + 41*h - 28. Let v(x) = x**3 + 19*x**2 + 41*x - 27. Let s(l) = 4*i(l) - 5*v(l). Let m be s(-21). Solve -3/2*b**m + 3/2*b + 0 = 0.
0, 1
Let q = 63 - 35. Let m be 88/q + (0 - 3). Solve m*i**3 + 4/7*i + 0 - 4/7*i**2 = 0 for i.
0, 2
Find r, given that 22/3*r**5 - 112/3*r**2 - 4/3 + 148/3*r**3 - 92/3*r**4 + 38/3*r = 0.
2/11, 1
Let j(f) be the first derivative of 50*f**6/3 + 83*f**5 + 575*f**4/4 + 320*f**3/3 + 30*f**2 + 28. What is y in j(y) = 0?
-2, -1, -3/4, -2/5, 0
Let b = -11 + 10. Let u(i) be the first derivative of -i**3/3 - 2. Let z(x) = 2*x**2 - x - 2. Let t(m) = b*z(m) - u(m). Suppose t(g) = 0. Calculate g.
-1, 2
Factor 1/3*j**5 + 0 - 5*j**2 + j**4 - 7/3*j**3 + 6*j.
j*(j - 2)*(j - 1)*(j + 3)**2/3
Let l(i) be the second derivative of i**5/55 + 19*i**4/44 + 5*i**3/3 + 12*i**2/11 - 113*i. Factor l(c).
(c + 2)*(c + 12)*(4*c + 1)/11
Let j(x) be the first derivative of -7/2*x**2 + 8 + 2*x - 3*x**3. Suppose j(a) = 0. What is a?
-1, 2/9
Let w(q) be the second derivative of q**7/21 + 4*q**6/105 - q**5/5 - 4*q**4/21 + q**3/3 + 4*q**2/7 - 6*q + 12. Determine g, given that w(g) = 0.
-1, -4/7, 1
Let h(y) be the second derivative of y**6/1800 + y**5/150 + y**4/30 + 17*y**3/3 + 9*y. Let v(j) be the second derivative of h(j). Solve v(r) = 0.
-2
Let r(i) be the second derivative of -i**5/4 - 15*i**4/4 - 65*i**3/3 - 60*i**2 - 5*i. Factor r(u).
-5*(u + 2)*(u + 3)*(u + 4)
Suppose 20 = 2*n - 4*q, -4*n = -2*n + q. Let h = 218/45 - 40/9. Factor h*x**n + 0 + 2/5*x.
2*x*(x + 1)/5
Let 100 - 40/3*l - 4/3*l**2 = 0. What is l?
-15, 5
Let v be (-7 - -3 - -2)*(-1 - 0). Suppose 3*w - v*w - 3*q = 9, 0 = w - 2*q - 7. Factor 0 + 2/5*f**2 - 2/5*f**w + 4/5*f.
-2*f*(f - 2)*(f + 1)/5
Let j be -4 + (-3)/(-9)*1494/120. Let o = 13/20 - j. Factor 1/2 + o*x**2 + x.
(x + 1)**2/2
Let i be -1 - -3 - 66/(-3). Suppose 2*s - 2*w + 14 = -7*w, -4*s + 3*w = -i. Find p, given that -6*p**s + 2*p**3 - 11*p**2 + 11*p**2 = 0.
0
Let a be (-54)/(-10) - (4 + 1). Let q(r) be the first derivative of -7/5*r**2 + 2 - a*r - 2*r**3 - 9/10*r**4. Factor q(u).
-2*(u + 1)*(3*u + 1)**2/5
Suppose -7*q = -2*q - 20. Solve 2*w**5 - w**5 + 3*w**3 - q*w**3 + w**4 - w**3 = 0 for w.
-2, 0, 1
Let -148/5*k**3 + 6912/5 - 1728*k + 1872/5*k**2 + 4/5*k**4 = 0. What is k?
1, 12
What is f in 10/13*f**3 + 14/13*f**2 + 48/13 - 92/13*f = 0?
-4, 3/5, 2
Let p be 2*347/(-196) + 3. Let v = -2/49 - p. Factor 0 + v*f**2 + f.
f*(f + 2)/2
Let a(q) be the first derivative of -q**3/6 - 23*q**2/4 - 51*q + 312. Determine h so that a(h) = 0.
-17, -6
Let w(y) = -15*y**3 + 37*y**2 + 43*y - 37. Let r(x) = -8*x**3 + 20*x**2 + 22*x - 18. Let t(b) = -11*r(b) + 6*w(b). Factor t(j).
-2*(j - 2)**2*(j + 3)
Let d(l) be the second derivative of 5*l**9/3024 + l**8/336 - l**7/84 - 5*l**3/3 + l. Let j(o) be the second derivative of d(o). Factor j(r).
5*r**3*(r - 1)*(r + 2)
