e the first derivative of -d**5/3 - 3*d**4/2 + 4*d**3/3 + 14*d**2 - 21. Let b(f) be the second derivative of o(f). Factor b(l).
-4*(l + 2)*(5*l - 1)
Let v(k) be the second derivative of -k**6/15 - k**5 - 4*k**4 + 32*k**3/3 + 128*k**2 - 10*k - 2. Factor v(j).
-2*(j - 2)*(j + 4)**3
Let n(v) be the third derivative of -1/10*v**5 - 1/3*v**3 + 1/4*v**4 + 0*v + 0 - 10*v**2 + 1/60*v**6. Solve n(a) = 0.
1
Factor 0 + 0*o + 4/7*o**4 + 4/7*o**3 - 4/7*o**2 - 4/7*o**5.
-4*o**2*(o - 1)**2*(o + 1)/7
Let p(h) be the first derivative of -h**4/6 + h**2/3 - 160. Factor p(a).
-2*a*(a - 1)*(a + 1)/3
Let r(y) be the second derivative of 0*y**2 + 0*y**4 + 0 - 9*y + 0*y**3 - 2/3*y**6 + y**5 + 5/42*y**7. Solve r(s) = 0.
0, 2
Let i(l) = l**3 + 5*l**2 + 4*l + 1. Let s be i(-4). Suppose -s = -2*m - y, 0*m - 5*m - 1 = -y. Factor m*k**2 - 2*k - 2*k + 6*k**2 + 2*k**2.
4*k*(2*k - 1)
Let a(y) = -4*y**2 + 14*y + 14. Let g be (0/(-4))/(1*-2). Let t(p) = g*p**2 + 17*p - 41 + 11*p**2 - 44*p - 14*p. Let f(k) = 17*a(k) + 6*t(k). Factor f(h).
-2*(h + 2)**2
Let o(z) = 13*z**4 - 13*z**3 - 145*z**2 + 375*z - 255. Let n(m) = -6*m**4 + 6*m**3 + 73*m**2 - 190*m + 127. Let y(v) = 5*n(v) + 2*o(v). Factor y(f).
-(f - 1)*(f + 5)*(2*f - 5)**2
Suppose 5*w + 3*s = s + 12, 0 = -2*w + 4*s. Determine v, given that -4*v**2 + 3*v**5 + 78*v**3 + 4*v**4 - 78*v**3 + w*v - 5*v**5 = 0.
-1, 0, 1
Let d(z) be the first derivative of -z**4/16 - z**3/12 + z**2/4 + 163. Solve d(p) = 0 for p.
-2, 0, 1
Let k(b) = -37*b**2 - 21*b. Let l(n) = 21*n**2 + 10*n. Let r(w) = -4*k(w) - 7*l(w). Let r(h) = 0. Calculate h.
-14, 0
Let o = 85097/4 - 21272. Suppose 33/4*d**2 + o*d - 3*d**4 + 0 + 6*d**3 = 0. Calculate d.
-1/2, 0, 3
Let t be 1/(-1 - 24/(-18)). Factor 0*w + 0 + 1/5*w**2 - 1/5*w**t.
-w**2*(w - 1)/5
Find m, given that 169*m**3 + 12*m - 88*m**3 + 18*m**2 + 4*m - 79*m**3 = 0.
-8, -1, 0
Let p(t) be the first derivative of 7/24*t**4 - 1/12*t**2 + 2/15*t**5 + 0*t + 1/9*t**3 - 9. Suppose p(l) = 0. Calculate l.
-1, 0, 1/4
Let r(h) be the second derivative of h**4/18 - 2*h**3/9 + h**2/3 + 254*h. Determine z so that r(z) = 0.
1
Let h = 925/24 + -77/2. Let k(v) be the third derivative of -h*v**4 + 1/120*v**5 + 0*v - 1/420*v**7 - 9*v**2 + 0*v**3 + 0 + 1/120*v**6. Factor k(p).
-p*(p - 2)*(p - 1)*(p + 1)/2
Let l = 701/8844 - 5/268. Let v(q) be the first derivative of 8 + 0*q - 1/11*q**2 + l*q**3. Find z, given that v(z) = 0.
0, 1
Let i(y) be the third derivative of y**7/2520 - y**6/720 + 5*y**4/12 + 23*y**2. Let c(g) be the second derivative of i(g). Factor c(f).
f*(f - 1)
Suppose 3298*r - 3303*r + 20 = 5*b, 2*b - r = 8. Find p, given that -9/2 + 6*p**2 - 3/2*p**b - 3*p + 3*p**3 = 0.
-1, 1, 3
Let d be (-46)/6 + 1/(-3). Let h be ((-2)/d)/((-9)/(-24)). Find c, given that -h*c**2 + 0 - 2/3*c = 0.
-1, 0
Let t(b) be the third derivative of b**8/35280 - b**6/1260 - 19*b**5/60 + 25*b**2. Let k(i) be the third derivative of t(i). Factor k(x).
4*(x - 1)*(x + 1)/7
Let r(m) be the first derivative of -2*m**3/27 - 32*m**2/3 - 512*m - 263. Let r(z) = 0. Calculate z.
-48
Let d(j) be the third derivative of 1/1050*j**7 - 7/6*j**4 + 23/100*j**5 + 0 + 9*j**2 + 10/3*j**3 + 0*j - 7/300*j**6. Solve d(o) = 0 for o.
2, 5
Factor -41/3 - 1/3*p**3 - 83/3*p - 43/3*p**2.
-(p + 1)**2*(p + 41)/3
Suppose 16*u + 11*u = 54. Let j(r) be the first derivative of 35/6*r**3 + 2*r + 5 + 11/2*r**u + 25/16*r**4. Find m, given that j(m) = 0.
-2, -2/5
Let f = -17164 - -257462/15. Factor -4/15*a**2 + f - 2/15*a.
-2*(a + 1)*(2*a - 1)/15
Let p(q) = -2*q**2 - 8*q - 6. Let i(t) = -t**2 - 4*t - 3. Let a(g) = -7*i(g) + 3*p(g). Let v be a(-4). Factor 3 - d**2 + 22*d**3 - 3*d - 19*d**v - 2*d**2.
3*(d - 1)**2*(d + 1)
Let t(h) be the first derivative of -4*h**3/21 + 4*h**2/7 - 4*h/7 + 65. Factor t(i).
-4*(i - 1)**2/7
Let n(t) be the first derivative of -12 - 4/9*t**2 - 4/9*t - 4/27*t**3. Factor n(a).
-4*(a + 1)**2/9
Let l be 1 - (0 + 6/10). Let b = 2824/3 - 14114/15. Factor -2/5*x + 4/5 - 6/5*x**2 + b*x**3 + l*x**4.
2*(x - 1)**2*(x + 1)*(x + 2)/5
Let u(s) be the second derivative of -1/6*s**3 + 0 + 1/15*s**6 - 1/6*s**4 + 0*s**2 + 1/42*s**7 + 0*s**5 + 22*s. Factor u(n).
n*(n - 1)*(n + 1)**3
Suppose -h + 35 = 4*h - 5*l, 5*h - 3*l = 29. Let q = h + 1. Let 9*a**2 - 14*a**3 + a + 3*a**4 - 4*a + q*a**3 = 0. Calculate a.
0, 1
Let j(q) be the third derivative of 15*q**8/28 + 98*q**7/15 + 47*q**6/3 + 196*q**5/15 + 4*q**4 - 4*q**2 + 26*q. Solve j(v) = 0.
-6, -1, -2/5, -2/9, 0
Suppose 10*s + 5*o = 7*s + 12, 5*o = 2*s - 8. Solve 12*l**2 + 1 + 3*l**5 - 2*l**2 + 4*l**s + 10*l**3 + l**4 + 5*l - 2*l**5 = 0.
-1
Solve -8/7*c - 2/7*c**5 - 8/7 - 2/7*c**4 + 10/7*c**3 + 10/7*c**2 = 0.
-2, -1, 1, 2
Factor -u - 5*u**3 - 6*u - 20*u**2 + 7*u - 25*u - 10.
-5*(u + 1)**2*(u + 2)
Let r(n) be the second derivative of 1/150*n**5 - 1/900*n**6 + 0 + 0*n**2 - 1/60*n**4 + 1/2*n**3 + 3*n. Let m(d) be the second derivative of r(d). Factor m(x).
-2*(x - 1)**2/5
Find v such that 6 - 63/2*v + 15/2*v**2 = 0.
1/5, 4
Let s(x) be the first derivative of 0*x**2 - 1/70*x**5 + 0*x**3 + 5*x - 6 - 1/42*x**4. Let c(v) be the first derivative of s(v). Factor c(a).
-2*a**2*(a + 1)/7
Let a(r) be the second derivative of -r**4/48 + 41*r**3/4 - 15129*r**2/8 - r - 3. Factor a(y).
-(y - 123)**2/4
Let j(g) be the second derivative of -g**4/6 - 8*g**3/3 + 20*g**2 - 172*g. What is o in j(o) = 0?
-10, 2
Determine o, given that 10*o**4 - 9*o**4 + o**2 - 94*o - 4*o**3 + 100*o = 0.
-1, 0, 2, 3
Let r(c) be the first derivative of -c**6/12 - 5*c**5/24 - 5*c**4/24 - 13*c**3/3 - 8. Let a(z) be the third derivative of r(z). Factor a(m).
-5*(2*m + 1)*(3*m + 1)
Let k(h) be the third derivative of -h**6/180 - h**5/45 + 7*h**4/36 - 4*h**3/9 - 1025*h**2. Find v, given that k(v) = 0.
-4, 1
Let a(s) = 7*s**2 - 2*s + 1. Let n be a(1). Suppose -2*v - v = -n. Factor 0*l**4 - 2*l**4 - 2*l**4 + 4*l**3 - l**v + 5*l**2 - 4*l.
-4*l*(l - 1)**2*(l + 1)
Let p(u) be the first derivative of -u**6/39 - 58*u**5/65 - 163*u**4/26 + 1346*u**3/39 - 736*u**2/13 + 512*u/13 - 19. Solve p(c) = 0.
-16, 1
Suppose u - 18 = -5*u. Suppose -u*b - 1 = -s, -4*s + 5 - 1 = 2*b. Factor b*v**2 + 0*v + 0 - 8/5*v**4 - 8/5*v**3 - 2/5*v**5.
-2*v**3*(v + 2)**2/5
Let k = 130 + -161. Let x = k - -33. Factor -3 - 1/3*f**2 + x*f.
-(f - 3)**2/3
Suppose -2*p + 26 = -4*f, 2 = -2*f - 8. Determine r so that -7*r**3 + r**4 - r**2 - 2*r + 0*r**4 + 9*r**p = 0.
-2, -1, 0, 1
Factor 3/2*k**4 - 18*k - 3*k**2 + 9/2*k**3 - 12.
3*(k - 2)*(k + 1)*(k + 2)**2/2
Suppose -4*h - 77*g + 4 = -81*g, 2*g - 10 = -2*h. Solve -4/7*s**h + 0*s**2 + 2/7*s**4 + 0 + 0*s = 0.
0, 2
Let y = -40814/7 + 5834. Solve -y*z + 0 - 6/7*z**2 = 0 for z.
-4, 0
Let k(a) be the second derivative of -2*a**7/105 + a**5/15 - 6*a**2 - 12*a. Let w(l) be the first derivative of k(l). Suppose w(z) = 0. Calculate z.
-1, 0, 1
Let r(z) be the first derivative of 17/150*z**5 - z**2 + 4/15*z**3 + 1 + 1/60*z**6 + 4/15*z**4 + 0*z. Let u(n) be the second derivative of r(n). Factor u(o).
2*(o + 1)*(o + 2)*(5*o + 2)/5
Let f(q) be the first derivative of 0*q + 1/38*q**4 + 2/95*q**5 - 2/57*q**3 - 9 - 1/57*q**6 + 0*q**2. Factor f(k).
-2*k**2*(k - 1)**2*(k + 1)/19
What is a in 15 - 2*a**2 + 53 - 108 - 2*a**3 + 32*a = 0?
-5, 2
Determine j so that -32/3*j**5 + 6*j - 46/3*j**2 + 14/3*j**3 + 16*j**4 - 2/3 = 0.
-1, 1/4, 1
Let k(t) be the second derivative of -1/96*t**4 + 0*t**2 + t + 0 + 0*t**3. Factor k(u).
-u**2/8
Let j(r) = 3*r**2 - r + 1. Let c(a) = 13*a**2 - 104*a - 97. Let w(t) = c(t) - 4*j(t). Factor w(k).
(k - 101)*(k + 1)
Let j(t) = 5*t**2 - 23*t - 48. Let w(i) = -17*i**2 + 69*i + 143. Let m(p) = -21*j(p) - 6*w(p). Determine d so that m(d) = 0.
-2, 25
Let k(w) be the second derivative of 1/15*w**4 - 23*w - 1/100*w**5 - 1/10*w**3 + 0*w**2 + 0. Solve k(r) = 0.
0, 1, 3
Let m(l) be the third derivative of 4*l**3 - 43*l**2 - 7/40*l**6 + 0 - 1/10*l**5 + 0*l**7 + 1/112*l**8 + 3/2*l**4 + 0*l. Suppose m(k) = 0. Calculate k.
-2, -1, 2
Factor -20*o**2 - 266*o - 229*o - 255*o - 50*o - 1920 - 90*o**2 - 5*o**3.
-5*(o + 6)*(o + 8)**2
Let o(h) be the first derivative of h**6/45 + 44*h**5/75 + 19*h**4/6 - 124*h**3/9 - 32*h**2/5 + 192*h/5 + 118. Suppose o(d) = 0. What is d?
-12, -1, 1, 2
Let i be (-3)/12 - (-22)/(-8). Let d = i - -6. Factor 3*c - c - 4*c**3 + c**3 + c**d.
-2*c