Determine o so that z(o) = 0.
-1, 2
Let r(c) be the second derivative of 1/30*c**6 + 0 - 1/210*c**7 - 8/5*c**2 - 4/15*c**4 - 1/25*c**5 + 16/15*c**3 - 17*c. Factor r(b).
-(b - 2)**3*(b - 1)*(b + 2)/5
Let d(l) be the third derivative of -27*l**7/700 - l**6/20 + 8*l**5/75 - l**4/15 + 5*l**3/6 + 12*l**2. Let c(b) be the first derivative of d(b). Factor c(h).
-2*(h + 1)*(9*h - 2)**2/5
Let a(q) = -51*q**4 - 552*q**3 - 2217*q**2 - 1716*q - 279. Let d(t) = t**4 + t**3 - t**2 + t - 1. Let z(r) = -a(r) - 15*d(r). Find p, given that z(p) = 0.
-7, -2/3, -1/4
Suppose -2*j + 11 - 7 = 0. Let z be 2*j/8*6. Factor 27*f**2 - 32*f**2 + 10*f**z - 5*f**4 + 0*f**4.
-5*f**2*(f - 1)**2
Let b(j) be the second derivative of j**4/12 - 11*j**3/3 + 20*j**2 - 182*j. Factor b(m).
(m - 20)*(m - 2)
Let i = 115/2 - 56. Let v(f) be the first derivative of 21/5*f**5 - 1 + i*f**4 - 7*f**3 + 0*f - 3*f**2. What is b in v(b) = 0?
-1, -2/7, 0, 1
Let a be 32/(3 - -1)*1. Suppose 3*t + 15 = a*t. Factor -4/5*q**5 + 2/5*q**2 + 0*q + 2*q**4 + 0 - 8/5*q**t.
-2*q**2*(q - 1)**2*(2*q - 1)/5
Let x(g) = -58*g**2 - 2*g - 3. Let v be x(2). Let r = v - -241. Factor 3/8 - 3/4*y + 3/8*y**r.
3*(y - 1)**2/8
Let w(i) = -56*i**3 - 60*i**2 - 20*i. Let p(v) = -37*v**3 - 20*v - 40*v**2 + 28*v - 21*v. Let h(g) = -8*p(g) + 5*w(g). Factor h(k).
4*k*(k + 1)*(4*k + 1)
Let w(z) be the second derivative of 5*z**4/4 + 595*z**3/6 - 100*z**2 - 117*z. Factor w(r).
5*(r + 40)*(3*r - 1)
Let o(y) be the third derivative of 0*y + 0 + 0*y**3 + 1/12*y**5 + 1/210*y**7 - 6*y**2 + 1/30*y**6 + 1/12*y**4. Let o(k) = 0. What is k?
-2, -1, 0
Let j(t) be the first derivative of t**3/9 + 3*t**2/2 + 14*t/3 + 49. Suppose j(h) = 0. What is h?
-7, -2
Factor -120*s**2 + 26*s**3 + 132*s**2 - 64 - 128*s + 4*s**4 + 0*s**4.
2*(s - 2)*(s + 4)**2*(2*s + 1)
Factor 3 + 5 + 3*x + x**2 - 18.
(x - 2)*(x + 5)
Let n(x) be the first derivative of -x**6/2520 - x**5/280 + x**4/42 + 4*x**3/3 + 16. Let l(f) be the third derivative of n(f). Factor l(s).
-(s - 1)*(s + 4)/7
Suppose -8/3*w + 38/21*w**2 - 4/21*w**3 - 2/21*w**4 + 8/7 = 0. Calculate w.
-6, 1, 2
Let h(n) be the third derivative of -n**5/140 - n**4/8 - 6*n**3/7 - 36*n**2 - 2. Determine i so that h(i) = 0.
-4, -3
Let i = 17 - 12. Suppose 30 = u + 4*u - 4*r, -15 = -i*u + r. Factor -47 + 35 + 36*v + 9*v**3 - 17*v**2 - 16*v**u.
3*(v - 2)*(v - 1)*(3*v - 2)
Let o(p) = -7*p**3 - 34*p**2 + 6. Let k(u) = -5*u**3 - 35*u**2 + 5. Let m(n) = 6*k(n) - 5*o(n). Factor m(w).
5*w**2*(w - 8)
Find b such that 216/19 + 144/19*b + 2/19*b**3 + 30/19*b**2 = 0.
-6, -3
Solve 6*f**2 + 40*f + 6*f**3 + 4*f**5 - 3*f**5 - 6*f**4 - 25*f - 20*f - 2*f**3 = 0 for f.
-1, 0, 1, 5
Determine c so that -4/9*c**3 + 0*c + 0 + 0*c**2 - 8/9*c**4 - 4/9*c**5 = 0.
-1, 0
Let w(l) = l**2 + 3*l - 2. Let s be w(-4). Let a be (-52)/(-572) - (-2)/((-132)/(-38)). Determine c so that 1/3*c**s + 1/3 + a*c = 0.
-1
Let i(x) be the first derivative of x**5 - 505*x**4/4 + 495*x**3 - 1475*x**2/2 + 490*x - 166. Factor i(u).
5*(u - 98)*(u - 1)**3
Let n(h) be the first derivative of h**3/3 + 23*h**2/2 + 22*h - 95. Let n(f) = 0. Calculate f.
-22, -1
Let o = -103 - -57. Let z = o + 48. Find l, given that l**z - 1 - 3/2*l = 0.
-1/2, 2
Let j = -83 + 75. Let f be ((-4)/12)/(j/6). Factor 0*l**2 - f*l**3 + 0*l**4 + 0 + 1/4*l**5 + 0*l.
l**3*(l - 1)*(l + 1)/4
Let c(m) be the first derivative of -m**8/1512 + m**7/945 + m**6/540 - m**5/270 - 7*m**2 + 7. Let w(f) be the second derivative of c(f). What is h in w(h) = 0?
-1, 0, 1
Let l(y) be the third derivative of -y**7/315 + y**6/10 - 11*y**5/30 + 4*y**4/9 - 35*y**2. Factor l(r).
-2*r*(r - 16)*(r - 1)**2/3
Let i(n) be the third derivative of -19/100*n**5 - 2*n**3 - 7/200*n**6 + 0*n + 38*n**2 + 0 + 19/10*n**4. Suppose i(z) = 0. Calculate z.
-5, 2/7, 2
Let n(h) be the third derivative of 25*h**8/2016 - 29*h**7/42 + 503*h**6/240 - 199*h**5/90 + 11*h**4/12 + 17*h**2 - 5. Let n(g) = 0. Calculate g.
0, 2/5, 1, 33
Let a(s) be the first derivative of s**3/15 + s**2/10 - 2*s/5 - 56. Factor a(h).
(h - 1)*(h + 2)/5
Suppose -3/2 + 11/2*u**3 + 29/2*u + 43/2*u**2 = 0. Calculate u.
-3, -1, 1/11
Let o(s) be the third derivative of 0 + 0*s - 1/15*s**5 + 0*s**4 - 1/105*s**7 + 1/20*s**6 + 7*s**2 + 0*s**3. Let o(y) = 0. What is y?
0, 1, 2
Suppose -v = -1, j + 2 = -5*v + 10. Factor -4*g**3 - g**2 - 25*g**5 - 3*g**2 - 6*g**2 - g**j + 40*g**4.
-5*g**2*(g - 1)**2*(5*g + 2)
Let v(b) be the second derivative of 13*b**4/6 + 17*b**3/3 + 4*b**2 + b - 6. Find n such that v(n) = 0.
-1, -4/13
Let g be ((-4 - (-8)/(-12)*-3) + 2)/3. Find t such that g + 25*t - 3/2*t**4 - 11/4*t**3 + 1/4*t**5 + 15*t**2 = 0.
-2, 0, 5
Let s(d) be the second derivative of -3/8*d**3 + 0*d**2 + 0 + 20*d - 1/16*d**4. Factor s(q).
-3*q*(q + 3)/4
Suppose 7 - 1 = 3*x - h, 6 = -x + 3*h. Factor 13*w**3 - 12*w**x - 3*w + 4*w - 2*w**2.
w*(w - 1)**2
Let k(h) be the third derivative of 18*h**2 + 1/54*h**7 + 0 + 0*h + 3/40*h**6 - 8/27*h**3 + 1/2*h**4 - 52/135*h**5. Solve k(p) = 0.
-4, 2/7, 2/5, 1
Let q(r) = r**3 - 8*r**2 - 34*r + 15. Let g be q(11). Let c(k) be the first derivative of 2/3*k**3 - k**2 + 3 - g*k. Suppose c(x) = 0. Calculate x.
-1, 2
Find t such that -15*t**3 + 10*t**3 + 15*t**2 + t + t**4 - 5*t - 7*t**2 = 0.
0, 1, 2
Let o(p) be the second derivative of p**7/49 + 16*p**6/105 + 2*p**5/7 - 5*p**4/21 - 23*p**3/21 - 6*p**2/7 + 124*p. Suppose o(x) = 0. What is x?
-3, -2, -1, -1/3, 1
Let p(q) be the second derivative of -25*q**4/54 + 1330*q**3/27 - 17689*q**2/9 - 9*q - 2. Factor p(n).
-2*(5*n - 133)**2/9
Let 102*b + 111*b - 38777 + 38561 + 3*b**2 = 0. Calculate b.
-72, 1
Solve -2/7*d**4 + 500/7 - 38/7*d**3 - 250/7*d - 30*d**2 = 0 for d.
-10, -5, 1
Let c = 137/10 + -371/30. Determine w, given that 0*w**3 - c + 6*w + 8/3*w**4 - 22/3*w**2 = 0.
-2, 1/2, 1
Let s = -56 + 36. Let p be (0 + 0)*s/(-40). Factor 2/3*w**2 + 0*w - 2/3*w**5 + 2*w**4 - 2*w**3 + p.
-2*w**2*(w - 1)**3/3
Let w(u) be the third derivative of -3*u**7/70 + u**6/10 + 11*u**5/60 + u**4/12 - 53*u**2. Factor w(j).
-j*(j - 2)*(3*j + 1)**2
Suppose -103*k + 101*k + 12 = 0. Factor 6*b + 0*b - 18*b**2 + 4*b + 2*b**4 + k*b**3.
2*b*(b - 1)**2*(b + 5)
Let h = 164 + -162. Solve -71/4*g**h + 16*g**4 - 1/2 + 21/4*g - 24*g**5 + 33/2*g**3 = 0 for g.
-1, 1/4, 1/2, 2/3
Let m be (8 + 468/(-63))/(10/70). Factor 22/5*q**5 + 0*q + 48/5*q**m + 0*q**2 + 8/5*q**3 + 0.
2*q**3*(q + 2)*(11*q + 2)/5
Suppose -3*p + 0*p = 0. Suppose 0*f + f = -3*u + 24, p = 4*f + 5*u - 131. Factor 5 + f*q**4 + 5*q**2 - 5 - 44*q**4.
-5*q**2*(q - 1)*(q + 1)
Let y be 38/14 + 4/14. Suppose 2 = -2*v, y*o - 4*v = -5*v + 467. Let 16 - 4*f**2 + 156*f - o*f = 0. Calculate f.
-2, 2
Factor 3*r - 56*r**3 - 53*r**3 - 1 - 3*r**2 + 110*r**3.
(r - 1)**3
Let z(h) be the first derivative of -h**4/14 - 52*h**3/21 - 129*h**2/7 - 360*h/7 - 694. Factor z(n).
-2*(n + 3)**2*(n + 20)/7
Let c be (-2)/11 - 9/11. Let d be (-4 - c) + (-4 - -10). Let 0 - 4/7*p - 2*p**4 - 22/7*p**2 - 32/7*p**d = 0. Calculate p.
-1, -2/7, 0
Find s, given that 10*s**3 + 21*s**3 - 12*s**4 - 6*s**3 - 73*s**2 - 5 + s + 22*s**3 + 138*s**2 = 0.
-1, -1/3, 1/4, 5
Determine x so that 12/5*x**4 + 0*x + 9/5*x**5 - 3/5*x**3 + 0 - 6/5*x**2 = 0.
-1, 0, 2/3
Let q(b) be the first derivative of -1/10*b**5 + 0*b**2 + 1/8*b**4 - 6 + 0*b - 1/12*b**6 + 1/6*b**3. Suppose q(i) = 0. Calculate i.
-1, 0, 1
Let v(r) = r**3 + 6*r**2 - 6*r + 13. Let y be v(-7). Let j be ((4 - y)/(-8))/(18/16). Let 2/9*t**2 - j - 2/9*t**3 + 2/9*t = 0. What is t?
-1, 1
Let u = 4 + -1. Suppose 3 = -2*k + u*k. Factor c**5 + c**3 - 3*c**4 + k*c**4 - 2*c**4.
c**3*(c - 1)**2
Let h(r) be the third derivative of 0*r + 0 + 1/84*r**7 - 1/24*r**5 + 0*r**3 + 7*r**2 + 1/48*r**6 + 0*r**4 - 5/672*r**8. Factor h(g).
-5*g**2*(g - 1)**2*(g + 1)/2
Let l = 15647/10426 - 4/5213. Let 24 + 48*t + 36*t**2 + l*t**4 + 12*t**3 = 0. Calculate t.
-2
Let b(l) be the second derivative of -3*l**5/50 + 17*l**4/30 - 29*l**3/15 + 3*l**2 + 2*l - 21. Determine g, given that b(g) = 0.
1, 5/3, 3
Let g(z) be the first derivative of 2/11*z**3 + 8/11*z + 8/11*z**2 + 1. Factor g(k).
2*(k + 2)*(3*k + 2)/11
Let v = 5 + -3. Factor 3*r + 7*r**2 - 8*r**v - 2*r + r.
-r*(r - 2)
Let w(y) be the second derivative of -2/39*y**4 + 12*y + 0*y**2 + 0 - 1/273*y**7 - 1/39*y**3 - 3/65*y**5 - 4/195*y**6. Find b suc