. Find z, given that f(z) = 0.
-1, 0
Let v be (-1)/(1/3) + 5. Suppose -o = o - 3*u + 11, v*u = 5*o. Factor 0*g**2 + 4*g**2 - o - 2*g**4 + 0.
-2*(g - 1)**2*(g + 1)**2
Factor 26/21 + 2/21*y**4 + 32/21*y**3 + 80/21*y + 4*y**2.
2*(y + 1)**3*(y + 13)/21
Let v(n) be the second derivative of -5/6*n**4 - 15*n - 22/75*n**5 + 0 + 0*n**2 - 2/5*n**3 - 7/225*n**6. Factor v(a).
-2*a*(a + 3)**2*(7*a + 2)/15
Let v(o) be the second derivative of -o**6/150 + o**5/25 - o**4/12 + o**3/15 + 82*o + 2. Factor v(a).
-a*(a - 2)*(a - 1)**2/5
Let c(t) be the second derivative of t**6/10 - 87*t**5/20 + 56*t**4 - 98*t**3 + 499*t. Factor c(p).
3*p*(p - 14)**2*(p - 1)
Let k(a) be the third derivative of -a**5/180 + 7*a**4/72 + 22*a**3/9 + 2*a**2 - 15*a. Factor k(b).
-(b - 11)*(b + 4)/3
Let x = 459 - 34423/75. Let m(v) be the third derivative of -4/525*v**7 + 0 + 1/50*v**6 + 4*v**2 - x*v**5 + 1/60*v**4 + 0*v + 0*v**3 + 1/840*v**8. Factor m(o).
2*o*(o - 1)**4/5
Let l(w) be the first derivative of -2*w**5/5 - 2*w**4 - 140. Let l(t) = 0. Calculate t.
-4, 0
Suppose 0 = -102*f + 78*f. Let c = 185/8 - 45/2. Let c*z**3 + z**2 + f + 1/2*z + 1/8*z**4 = 0. Calculate z.
-2, -1, 0
Let i = 21 + -11. Let g = i + -8. Factor 0*w + 9*w + g*w**2 - 3*w**3 - 2*w**2 - 6.
-3*(w - 1)**2*(w + 2)
Let l(b) be the third derivative of b**8/336 - b**6/60 + b**4/24 + 2*b**2 - 61*b. Factor l(i).
i*(i - 1)**2*(i + 1)**2
Let y(o) = o**3 - o + 2. Let f(m) = -2*m**3 - 9*m**2 - 19*m - 6. Let a(z) = -f(z) - 3*y(z). Factor a(x).
-x*(x - 11)*(x + 2)
Suppose 0 = -2*o - 1 + 7, -1116 = -5*p + 3*o. Factor 179*k - 848*k**2 - 132*k + p*k - 1 + 125*k**5 - 650*k**4 - 31 + 1160*k**3.
(k - 2)**2*(5*k - 2)**3
Let 1/6*k**5 - 8/3*k**4 + 113/3*k**2 + 41/6*k**3 - 30*k - 108 = 0. What is k?
-2, 2, 9
Let l = -1288058/19695 + 1/3939. Let b = -65 - l. Factor -b*d**3 - 2/5 - 6/5*d - 6/5*d**2.
-2*(d + 1)**3/5
Let d(w) = w**2 + 2*w - 7. Let y be d(-5). Let -19*b - 48 - y*b**2 + 4*b**2 - 22*b - 11*b = 0. What is b?
-12, -1
Let p = 2095 + -1026. Factor 1054*l**4 + 2*l**5 + l**5 + 12*l**3 - p*l**4.
3*l**3*(l - 4)*(l - 1)
Let o(s) be the second derivative of s**7/315 + 2*s**6/25 - 4*s**5/15 + 2*s + 584. Find j, given that o(j) = 0.
-20, 0, 2
Let x(y) be the third derivative of 0*y**3 - 1/6*y**4 + 0 - 4/15*y**5 + 0*y + y**2 - 1/10*y**6. Find p such that x(p) = 0.
-1, -1/3, 0
Let i be 8/((68/(-119))/((-2)/7)). Let j(v) be the first derivative of 2/3*v**3 - 6 + 8/3*v - 2*v**2 - 1/12*v**i. Factor j(z).
-(z - 2)**3/3
Let i(z) = -3*z**4 + 6*z**3 - 3*z - 3. Let k(g) = -g**5 - 2*g**4 + 5*g**3 - 2*g - 2. Let c = -10 + 4. Let f = c - -3. Let y(r) = f*k(r) + 2*i(r). Factor y(h).
3*h**3*(h - 1)*(h + 1)
Let m(y) be the third derivative of -y**7/252 - y**6/48 - y**5/24 + 11*y**4/24 + 5*y**2. Let a(x) be the second derivative of m(x). Factor a(r).
-5*(r + 1)*(2*r + 1)
Factor -1017*o**4 + 4477*o**2 + 52920*o**3 + 43750*o**4 - 5689*o**4 + 4000*o + 20723*o**2.
4*o*(21*o + 10)**3
Factor -1138*r**3 + 205 + 405*r + 565*r**3 + 568*r**3 + 195*r**2.
-5*(r - 41)*(r + 1)**2
Let j(y) be the first derivative of -y**7/1260 - y**6/540 + 47*y**3/3 - 22. Let k(b) be the third derivative of j(b). Factor k(f).
-2*f**2*(f + 1)/3
Let u(r) be the first derivative of -4*r**3/3 - 10*r**2 + 96*r - 201. Factor u(j).
-4*(j - 3)*(j + 8)
What is f in 400/3 + 2/3*f**4 + 680/3*f + 46/3*f**3 + 108*f**2 = 0?
-10, -2, -1
Let v(o) be the first derivative of -o**4/2 + 4*o**3/21 + 17*o**2/7 - 24*o/7 + 56. Suppose v(j) = 0. What is j?
-12/7, 1
Let v be -2 + (-3)/12 + (-125)/(-20). What is n in 2*n**4 + 12*n**3 - 12*n**2 + 3*n**4 - 6*n**4 - 2*n**v = 0?
0, 2
Let g(t) be the first derivative of 0*t**2 - 35/6*t**6 - 145/4*t**4 - 42 + 0*t + 10*t**3 + 30*t**5. Let g(x) = 0. Calculate x.
0, 2/7, 1, 3
Let j(p) = 13*p**3 - 5*p**2 - 13*p + 5. Let k(w) = -12*w**3 + 5*w**2 + 12*w - 5. Let u(x) = -2*j(x) - 3*k(x). Factor u(m).
5*(m - 1)*(m + 1)*(2*m - 1)
Let q(a) be the second derivative of 9/14*a**2 + 13*a + 0 + 1/7*a**3 - 1/28*a**4. Factor q(z).
-3*(z - 3)*(z + 1)/7
Let x be 24/64 + (-211)/(-24). Let h = x - 101/12. Factor -3 + 9/4*c**2 - h*c**4 + 3/2*c**3 - 3*c.
-3*(c - 2)**2*(c + 1)**2/4
Let r(z) be the first derivative of -1/12*z**3 + z + 40 + 0*z**2. Suppose r(y) = 0. What is y?
-2, 2
Let j(g) be the first derivative of -g**6/80 + 7*g**4/16 - 3*g**3/2 + 10*g**2 - 2. Let i(z) be the second derivative of j(z). Factor i(k).
-3*(k - 2)*(k - 1)*(k + 3)/2
Let l(h) be the second derivative of 27*h**5/20 + 37*h**4 + 290*h**3/9 + 32*h**2/3 + 192*h + 2. Factor l(s).
(s + 16)*(9*s + 2)**2/3
Let h be ((-40)/20)/((-2)/8). Suppose -25*g**3 + 2*g**5 + 8*g**4 - g - 4*g**5 + h*g**2 + 13*g**3 - g = 0. What is g?
0, 1
Factor 230*g**3 - 324*g**2 + 5*g**5 - 310*g**2 - 2*g**4 + 405*g + 82*g**4 - 86*g**2.
5*g*(g - 1)**2*(g + 9)**2
Let h(g) = -8*g**3 - 5*g**2 + 389*g + 1009. Let w(i) = -12*i**3 - 8*i**2 + 584*i + 1512. Let y(o) = 8*h(o) - 5*w(o). Factor y(k).
-4*(k - 8)*(k + 4)**2
Let q(r) be the second derivative of -6/25*r**6 - 1/25*r**5 + 0*r**4 + 0*r**2 - r + 0*r**3 + 0 - 27/70*r**7. Find n, given that q(n) = 0.
-2/9, 0
Let k(p) be the first derivative of -2*p**5/15 + 4*p**4/3 - 14*p**3/3 + 22*p**2/3 - 16*p/3 + 603. Solve k(q) = 0 for q.
1, 2, 4
Let s(t) = -5*t**3 - 80*t**2 - 80*t + 175. Let x(g) = 2*g**3 + 40*g**2 + 39*g - 87. Let o(u) = 3*s(u) + 5*x(u). Determine r, given that o(r) = 0.
-6, -3, 1
Let g = 2969/20 + -741/5. Suppose -g*u**2 - 25/4 - 5/2*u = 0. What is u?
-5
Let m(n) be the first derivative of n**6/540 - n**5/270 - n**4/108 + n**3/27 - n**2/2 + 6. Let q(z) be the second derivative of m(z). Factor q(d).
2*(d - 1)**2*(d + 1)/9
Factor 0 - 69/10*o - 1/10*o**2.
-o*(o + 69)/10
Determine v, given that -96*v - 20 - 392*v**2 + 356*v**2 - 33 - 4*v**3 - 11 = 0.
-4, -1
Let r be 20/(-15)*(-36)/24. Factor 27/4 + 3/4*i**r + 9/2*i.
3*(i + 3)**2/4
Let h(o) = 7*o**2 + 392*o - 9549. Let n(v) = 4*v**2 + 196*v - 4772. Let j(y) = -6*h(y) + 11*n(y). What is z in j(z) = 0?
49
Let z(n) = n**4 + 27*n**3 - 72*n**2 + 77*n - 24. Let q(x) = x**4 - x**3 + 2*x**2 + x. Let u(d) = -6*q(d) + 2*z(d). Solve u(p) = 0 for p.
1, 12
Let u(w) be the third derivative of -w**8/336 - w**7/210 + 3*w**6/40 + w**5/12 - 2*w**4/3 - 2*w**3 - 134*w**2. Factor u(c).
-(c - 2)**2*(c + 1)**2*(c + 3)
Let r(g) be the second derivative of -g**5/50 - 16*g**4/15 + 2*g + 248. Factor r(s).
-2*s**2*(s + 32)/5
Let r(w) be the first derivative of -w**3/21 + 2*w**2/7 + 32*w/7 - 316. Suppose r(b) = 0. Calculate b.
-4, 8
Let g be 3 + (-148)/60 + (180/(-25))/(-9). Factor o**3 + 4*o - g - 11/3*o**2.
(o - 2)*(o - 1)*(3*o - 2)/3
Suppose 0 = m + 5, -o - 3*m - 31 = -20. Let l(p) be the second derivative of -81/2*p**2 + 0 - 9/4*p**o + 2*p - 27/2*p**3 - 3/20*p**5. Factor l(f).
-3*(f + 3)**3
Let j(a) = 2*a**2 + a. Let r be j(0). Let n be r*(12/(-10) + (-1)/(-5)). Determine d so that -2/9*d**4 + 2/9*d**5 + 0*d - 4/9*d**3 + 0 + n*d**2 = 0.
-1, 0, 2
Let m(a) be the second derivative of -2*a**7/147 - 8*a**6/35 - 22*a**5/35 + 4*a**4 - 14*a**3/3 - 2*a + 308. Factor m(h).
-4*h*(h - 1)**2*(h + 7)**2/7
Let r(s) be the first derivative of 4*s**5/5 + 8*s**4 + 20*s**3 - 16*s**2 - 64*s - 88. Find q, given that r(q) = 0.
-4, -1, 1
Let c(p) be the third derivative of -p**5/12 - 5*p**4/2 + 110*p**2. Suppose c(h) = 0. What is h?
-12, 0
Suppose 2*d = -4*x + 256, d - x - 30 - 83 = 0. Suppose -d*n = -120*n + 8. Solve -2/3*g**2 + 4/3*g + 2/3*g**n - 4/3*g**3 + 0 = 0 for g.
-1, 0, 1, 2
Let j(y) be the third derivative of y**6/600 + 47*y**5/300 + 22*y**4/5 - 96*y**3/5 + 6*y**2 - y. Factor j(m).
(m - 1)*(m + 24)**2/5
Let b be (126/(-2))/(5/(-5)*1). Let -268 + 620 + b*w**2 + 3*w**3 + 441*w + 677 = 0. Calculate w.
-7
Find p such that 1601*p**3 - 771*p**3 - 15*p**4 + 60*p + 115*p**2 - 785*p**3 - 5*p**5 = 0.
-4, -1, 0, 3
Determine y, given that 5*y**2 - 39*y - 5*y**2 + 6*y**2 - 5*y**2 - 4*y**2 = 0.
-13, 0
Let a(x) = 8*x**2 + 190*x + 140. Let r be a(-23). Find c such that 1/3*c**r - 1 - 2/3*c = 0.
-1, 3
Let x(s) = -3*s**4 + 5*s**3 - 6*s**2 - 4*s + 4. Let u(i) = 7*i**4 - 11*i**3 + 13*i**2 + 9*i - 9. Let y(z) = -4*u(z) - 9*x(z). Factor y(f).
-f**2*(f - 1)*(f + 2)
Let j = -3856 + 3858. Factor 0 - 4/9*r**3 + 0*r**j + 4/9*r.
-4*r*(r - 1)*(r + 1)/9
Let k = -1096/9 - -122. Let c = 139 + -135. Suppose 2/9*b**c 