**2 - 2*p + 28/9*p**3 - 10/9*p**5 + 4/9 + 4/3*p**4 = 0.
-1, 1/5, 1, 2
Factor -12/11*m**2 - 2/11*m**4 - 80/11*m + 16/11*m**3 - 50/11.
-2*(m - 5)**2*(m + 1)**2/11
Let z = -30 - -33. Let b(f) be the third derivative of 1/10*f**4 - 3*f**2 - 3/100*f**5 + 0*f + 2/5*f**z + 0 + 1/350*f**7 - 1/100*f**6. Factor b(q).
3*(q - 2)**2*(q + 1)**2/5
Let f(m) be the third derivative of 0*m + 30*m**2 + 0 - 2*m**3 + 1/12*m**4 + 2/15*m**5 + 1/60*m**6. Let f(j) = 0. What is j?
-3, -2, 1
Let x = -2/2423 + 2429/7269. Factor -1/3*w**3 + 2/3*w**2 + 0 - x*w.
-w*(w - 1)**2/3
Let a(q) be the third derivative of q**5/20 + q**4/4 + q**3/2 + 88*q**2. Determine w so that a(w) = 0.
-1
Let q(f) be the first derivative of -25*f**4/42 + 6*f**3/7 + 16*f**2/7 - 8*f/21 + 70. Let q(v) = 0. Calculate v.
-1, 2/25, 2
Let z(h) be the third derivative of -h**6/120 - h**5/30 + h**4/24 + h**3/3 + 29*h**2 - 2. Factor z(o).
-(o - 1)*(o + 1)*(o + 2)
Suppose -30/17*k**4 + 8/17*k**5 - 4/17*k - 6/17*k**2 + 32/17*k**3 + 0 = 0. What is k?
-1/4, 0, 1, 2
Let t(v) be the third derivative of -v**5/80 - v**4/16 + 2*v**2 + 130. Let t(y) = 0. Calculate y.
-2, 0
Let i = -95 - -111. Factor 6*s**3 + 4 - 19*s**2 + 4*s**4 + 43*s**2 - 8*s**3 + i*s + 18*s**3.
4*(s + 1)**4
Let x(r) be the third derivative of 2*r**7/21 - r**6/10 - 2*r**2 + 186. Factor x(o).
4*o**3*(5*o - 3)
Let k(q) be the first derivative of q**5/10 - q**4/15 - q**3/3 + 2*q**2/5 - 10*q + 26. Let z(h) be the first derivative of k(h). Factor z(d).
2*(d - 1)*(d + 1)*(5*d - 2)/5
Solve 15/7*g + 13/7*g**2 + 0 - 1/7*g**4 - 3/7*g**3 = 0.
-5, -1, 0, 3
Let o(w) = -w**3 - w**2 + 2*w + 2. Let y be o(-2). Suppose -6*n = -3*a - y*n + 14, 5*a = -2*n + 6. Suppose 7*x**3 + x - a*x - 6*x**3 = 0. What is x?
-1, 0, 1
Let t(d) be the second derivative of -13/360*d**5 - 5*d + 1/54*d**6 + 0*d**2 + 0 + 1/36*d**4 + 2/3*d**3. Let b(x) be the second derivative of t(x). Factor b(o).
(4*o - 1)*(5*o - 2)/3
Let -12*j**3 + 3/2 + 18*j**2 - 9*j = 0. What is j?
1/2
Let q(m) be the second derivative of m**5/10 - 69*m**4/2 + 4761*m**3 - 328509*m**2 - 266*m. Let q(v) = 0. What is v?
69
Let w be (-6)/(-27) + 11/(103 + -4). Determine h so that w*h**5 - 2/3*h**4 + 4/3*h**2 - 2/3 - 2/3*h**3 + 1/3*h = 0.
-1, 1, 2
Let r be 96/(-162)*9/(-2). Determine z so that -14/3*z**3 + 2*z**4 + r*z + 0*z**2 + 0 = 0.
-2/3, 0, 1, 2
Let b(y) be the first derivative of 7*y**4/16 - y**3 - y**2/2 + 350. Factor b(z).
z*(z - 2)*(7*z + 2)/4
Let o(l) be the third derivative of -l**6/120 + l**5/60 - l**4/24 + 19*l**2. Let n(d) = 4*d**3 - 6*d + 5. Let j(c) = 2*n(c) + 6*o(c). Let j(t) = 0. What is t?
-5, 1
Solve -3/10*b**3 + 2/5*b + 2/5*b**4 + 0 - 2/5*b**2 - 1/10*b**5 = 0.
-1, 0, 1, 2
Let l(c) be the second derivative of -c**5/100 + c**4/20 + 3*c**3/5 + c + 48. Determine i, given that l(i) = 0.
-3, 0, 6
Solve -680*f**5 - 252*f**3 - 268*f - 20*f - 456*f**2 + 677*f**5 - 54*f**4 = 0 for f.
-12, -2, 0
Let y(b) be the second derivative of 0 - 5*b**2 - 4/3*b**3 + 1/6*b**4 + 25*b. Let y(k) = 0. What is k?
-1, 5
Factor -4*p**2 + p**3 - 2*p - 911 + 911 + 0*p**2 + 6*p.
p*(p - 2)**2
Let v(m) be the first derivative of -5/2*m**2 + 5/3*m**3 + 5 + 0*m. Determine o, given that v(o) = 0.
0, 1
Suppose -3*u + 4*w = -9, 4*u - 3*w = 5*u - 3. Let l(p) be the second derivative of 0 - 1/4*p**u + 3*p + 1/2*p**2 + 1/24*p**4. Let l(f) = 0. Calculate f.
1, 2
Let f be (-935)/(-1650) + (50/(-12) - -4). Factor -f*x + 0 + 2/5*x**2.
2*x*(x - 1)/5
Suppose 2/7*i**3 + 0 - 2*i + 12/7*i**2 = 0. What is i?
-7, 0, 1
Let c be (-16)/(-4 + (18 - 28)). Factor -18/7*v**2 - c - 2/7*v**3 - 22/7*v + 2/7*v**4.
2*(v - 4)*(v + 1)**3/7
Let t(u) = -6*u**2 - 17*u - 4. Let l(y) = -2*y**2 - 6*y - 2. Let r(k) = -14*l(k) + 4*t(k). Solve r(w) = 0.
-3, -1
Let i be ((-1)/((-21)/6))/(-1)*-2. Let g be ((-3)/14)/((-12)/16). What is d in -2/7*d**5 + 8/7*d**2 + 4/7*d**3 - i - g*d - 4/7*d**4 = 0?
-2, -1, 1
Let x = 69 + -47. Factor 16*m**3 + 8*m**3 - x*m**3.
2*m**3
Let t be (0 - 2)*(-12)/6. Factor -75*g**3 + 38*g**3 + 41*g**3 + t*g**2.
4*g**2*(g + 1)
Let y(m) = 1 + 2*m + 17*m**2 - 1 - 23*m**2. Let p(v) = 10*v. Let d(t) = -t**2 + 9*t. Let x(z) = -7*d(z) + 6*p(z). Let g(h) = -5*x(h) - 6*y(h). Factor g(j).
j*(j + 3)
Let d be ((-2)/4*65)/(7/(-14)). Suppose -55 - d = -30*t. Factor 1/3*k**t + 2/3*k + 0*k**2 - 1/3 - 2/3*k**3.
(k - 1)**3*(k + 1)/3
Let g(y) = -5*y**2 - 2*y. Let s(h) = h**2 + 7*h. Let b(c) = -c**2 - 6*c. Let x(u) = -6*b(u) - 5*s(u). Let l(d) = g(d) + 2*x(d). Factor l(r).
-3*r**2
Solve 4/3*v + 0 - 1/6*v**2 = 0.
0, 8
Find o, given that 1/5*o**4 + 7/5*o**3 - 17/5*o**2 + 9/5*o + 0 = 0.
-9, 0, 1
Let -3/2*f**3 + 3/4*f**4 + 0 + 3/4*f**2 + 0*f = 0. What is f?
0, 1
Let u be (-5 - 0) + (-1005)/(-200). Let h(m) be the third derivative of 1/2*m**3 - 1/20*m**5 + u*m**6 + 0*m - 3*m**2 - 1/8*m**4 + 0. Solve h(n) = 0.
-1, 1
Suppose 8*a - 14 - 34 = 0. Factor -r**4 - a*r**3 + 0*r**4 - 2*r**4 + 3*r**3.
-3*r**3*(r + 1)
Let d(b) = -b**3 - 7*b**2 - 7*b + 7. Let g be d(-6). Let v = g + -10. Let -3*r + 2*r**3 + 10*r**2 + 4*r**3 - 6 - v*r**4 - 3*r**3 - r**2 = 0. What is r?
-1, 1, 2
Let r(v) be the first derivative of 8*v - 31 - 55/2*v**2 + 49/16*v**4 + 91/3*v**3. Factor r(y).
(y + 8)*(7*y - 2)**2/4
Let n(s) be the first derivative of 1/2*s**3 - 16 + 3/8*s**4 - 3/2*s - 3/4*s**2. Solve n(a) = 0.
-1, 1
Let b(n) = 2651*n**2 + 194*n + 5. Let i(l) = 2650*l**2 + 200*l + 5. Let z(v) = -5*b(v) + 6*i(v). Factor z(s).
5*(23*s + 1)**2
Let h be (-3)/4*16/(-4). Suppose -5*p = -i - 6, i = -h*i + 3*p + 10. Solve -i + 12*f**2 + 5 + 3 - 4*f**3 - 12*f = 0.
1
Factor -1/5*h**3 - 56307/5*h - 411/5*h**2 - 2571353/5.
-(h + 137)**3/5
Factor 2*g**3 - g**2 - 3*g**3 - 3*g**3 - 2*g + 5*g**3.
g*(g - 2)*(g + 1)
What is n in -55/2*n**2 - 1/2*n**4 + 27/2*n + 29/2*n**3 + 0 = 0?
0, 1, 27
Suppose -20 = 5*i, 8 = 3*c + 2*i + 4. Factor 3*u**3 + 5*u**4 + 64 - 4*u - 4*u**c - 64.
u*(u - 1)*(u + 2)**2
Let o be 4 + 1/(-3)*3. Suppose -5*f + 23 = -v, -2*f - o*v = -0*f - 16. Let -4*j**5 + 3*j**5 + j**4 - j**2 + 0*j**3 + 2*j**3 - j**f = 0. Calculate j.
-1, 0, 1/2, 1
Let p(w) be the third derivative of -w**7/840 - w**6/160 + 19*w**5/240 + 29*w**4/32 + 15*w**3/4 + 68*w**2. Factor p(l).
-(l - 5)*(l + 2)*(l + 3)**2/4
Let f(v) be the third derivative of -2/39*v**3 + 1/52*v**4 + 0 + 0*v + v**2 - 1/390*v**5. Factor f(h).
-2*(h - 2)*(h - 1)/13
Let 24*d**2 - 10*d**2 - 7*d**2 - 10*d**2 = 0. Calculate d.
0
Let w be ((-4)/26)/((-174)/6032). Determine r so that -3*r - 2*r**4 - w*r**2 - 14/3*r**3 - 1/3*r**5 - 2/3 = 0.
-2, -1
Let a be 9 - (-2064)/(-40)*5/30. Factor -1/5*h**3 + 1/5*h - a + 2/5*h**2.
-(h - 2)*(h - 1)*(h + 1)/5
Let s(o) be the second derivative of -o**7/14 + 9*o**6/10 - 18*o**5/5 + 5*o**4 - 186*o. Factor s(j).
-3*j**2*(j - 5)*(j - 2)**2
Let j(b) = 75*b + 377. Let d be j(-5). Let n(t) be the first derivative of 4 - 375*t - 15*t**3 + 3/4*t**4 + 225/2*t**d. Suppose n(a) = 0. What is a?
5
Let z(g) be the first derivative of -3/7*g**2 + 1/28*g**4 - 7 - 6*g + 1/14*g**3. Let c(m) be the first derivative of z(m). Factor c(u).
3*(u - 1)*(u + 2)/7
Let o(y) = 6*y**4 + 108*y**3 - 1002*y**2 + 5049*y - 9408. Let d(s) = -s**4 - 2*s**3 - s**2 - s. Let w(x) = 9*d(x) + o(x). Solve w(l) = 0 for l.
7, 8
Let u(o) be the third derivative of o**8/588 - 2*o**7/35 + 73*o**6/210 - 29*o**5/35 + 17*o**4/21 - 201*o**2. Suppose u(j) = 0. Calculate j.
0, 1, 2, 17
Let h(b) be the first derivative of -b**4/18 - 40*b**3/9 + 41*b**2/3 - 124*b/9 - 201. Factor h(k).
-2*(k - 1)**2*(k + 62)/9
Let i = -7807/4 + 1952. Factor -i*l**2 - 3/4*l - 1/2.
-(l + 1)*(l + 2)/4
Let r(o) be the first derivative of 2 + 0*o + 2/9*o**3 + 2/3*o**2. Factor r(u).
2*u*(u + 2)/3
Let p(l) be the first derivative of -40/19*l**2 + 800/57*l**3 + 2/19*l - 33. Find o, given that p(o) = 0.
1/20
Let r(k) be the second derivative of -k**9/7560 + k**8/1680 - k**6/180 + k**5/60 - k**4 + 12*k. Let u(m) be the third derivative of r(m). Factor u(d).
-2*(d - 1)**3*(d + 1)
Let v = -11/25 + 91/150. Let h(o) be the second derivative of -v*o**4 + 0*o**3 + 0 + 0*o**2 + 4*o + 1/10*o**5 - 1/21*o**7 + 1/15*o**6. Solve h(y) = 0 for y.
-1, 0, 1
Let a(p) be the second derivative of -p**7/14 + 2*p**6/3 - 9*p**5/5 - p**4/6 + 13*p**3/2 - 9*p**2 - 36*p. What is t in a(t) = 0?
-1, 2/3, 1, 3
Let r(q) be the second derivative of -q**5