nd derivative of -p**4/72 - p**3/4 + 11*p**2/6 + 2*p - 5. Factor n(a).
-(a - 2)*(a + 11)/6
Let a(x) be the first derivative of 3*x**2 + 4*x + 1/8*x**4 + x**3 + 2. Let a(p) = 0. Calculate p.
-2
Let i(o) be the second derivative of 0 - 2/5*o**6 - 2*o**3 + 2/5*o**5 + 2/21*o**7 - 7*o + 2/3*o**4 + 2*o**2. Suppose i(u) = 0. What is u?
-1, 1
Let d(x) be the third derivative of x**8/896 + x**7/80 + x**6/32 - x**5/80 - 11*x**4/64 - 5*x**3/16 + 528*x**2. Find c, given that d(c) = 0.
-5, -1, 1
Suppose 2/7*c**2 - 88/7 - 86/7*c = 0. What is c?
-1, 44
Let f(n) be the first derivative of -125*n**5 - 125*n**4/2 + 600*n**3 + 1040*n**2 + 640*n - 6. Find c such that f(c) = 0.
-4/5, 2
Let r(l) be the second derivative of -l**6/20 - 3*l**5/8 + l**4/2 + 5*l**3 - 18*l. Find n such that r(n) = 0.
-5, -2, 0, 2
Let t be (0/(-1))/(28 + -27). Let h(r) be the second derivative of -3*r - 1/100*r**5 - 1/10*r**3 + t - 1/10*r**2 - 1/20*r**4. Factor h(l).
-(l + 1)**3/5
Let b(m) = 14*m + 579. Let j be b(-41). Factor 0 + 0*r + 1/2*r**4 - 1/2*r**3 + 1/6*r**2 - 1/6*r**j.
-r**2*(r - 1)**3/6
Suppose 7*q + 16 = 15*q. Factor 28/3*m**4 + 44/3*m**q - 64/3*m**3 + 0 - 8/3*m.
4*m*(m - 1)**2*(7*m - 2)/3
Let x(h) be the second derivative of -3*h + 0*h**2 + 0 - 7/4*h**5 + 10/3*h**3 + 5*h**4. Let x(s) = 0. Calculate s.
-2/7, 0, 2
Let c(d) be the third derivative of -d**5/20 - 9*d**4/8 - 4*d**3 + 75*d**2. Factor c(f).
-3*(f + 1)*(f + 8)
Let o(z) be the third derivative of 2*z**7/35 - z**6/6 - 2*z**5/3 + 10*z**4/3 - 16*z**3/3 - z**2 - 69*z. What is k in o(k) = 0?
-2, 2/3, 1, 2
Let s(c) be the second derivative of 2*c**7/105 + c**6/5 + 3*c**5/5 + 15*c**2 - 23*c. Let h(g) be the first derivative of s(g). Factor h(l).
4*l**2*(l + 3)**2
Suppose 39*s**3 + 38*s**3 + 3*s**4 + 180*s - 2*s**4 - 32*s**3 + 140*s**2 + 80 + 4*s**4 = 0. Calculate s.
-4, -2, -1
Let q(y) be the first derivative of 4/25*y**5 - 6 + y**4 + 0*y + 8/15*y**3 - 16/5*y**2. Suppose q(l) = 0. What is l?
-4, -2, 0, 1
Let f(g) = g**3 + 24*g**2 - 83*g + 2. Let p(n) = 5*n**3 + 99*n**2 - 333*n + 9. Let z(b) = 9*f(b) - 2*p(b). What is w in z(w) = 0?
0, 9
Let u = 89/226 + 12/113. Factor -3/2*r**4 + 1/2 - r**3 + r**2 - u*r**5 + 3/2*r.
-(r - 1)*(r + 1)**4/2
Suppose -2 = 2*n, 5*m - 4*n = -10 + 29. What is x in -2*x**m + 13*x**2 + 34*x**2 - 7*x**2 + 80*x + 7*x**3 = 0?
-4, 0
Let b be -7*(-80)/(-56) - -10. Let 0*z**3 + z - z**5 + b - 5/2*z**4 + 5/2*z**2 = 0. Calculate z.
-2, -1, -1/2, 0, 1
Suppose 5*t - 5*n - 2 - 18 = 0, -5*n = -2*t + 2. Let d = -4 + t. Suppose 3*v**d + 40*v - v**2 - 6 - 36*v = 0. Calculate v.
-3, 1
Let a(f) be the third derivative of -f**8/112 - f**7/14 - 228*f**2. Suppose a(s) = 0. Calculate s.
-5, 0
Let x be (10/25)/((-2)/(-10)). Let u(p) be the third derivative of -1/300*p**5 - 1/30*p**3 + 0 + 1/60*p**4 + x*p**2 + 0*p. Factor u(r).
-(r - 1)**2/5
Let -10*x - 18*x**2 + 33*x**2 - 3*x + 40 - 14*x**2 = 0. What is x?
5, 8
Let f be 57 - -2 - (4 - 1). Let l = 56 - f. Find o, given that 18/5*o**3 + 4/5*o + 2/5*o**5 + l + 2*o**4 + 14/5*o**2 = 0.
-2, -1, 0
Suppose 0*l + 8 = l + v, 0 = l - 4*v + 17. Let g(i) be the first derivative of 1/2*i**2 - 11 + 1/2*i + 1/6*i**l. Let g(u) = 0. What is u?
-1
Let p(a) = -11*a**3 + 10*a**2 + 33*a + 36. Let w(h) = 7*h**3 - 6*h**2 - 22*h - 24. Let u(z) = 5*p(z) + 8*w(z). Factor u(m).
(m - 3)*(m + 1)*(m + 4)
Suppose -4*l = 4*f + 12, 6 - 26 = 4*f. Suppose -x + 5 = -t + x, 7 = 5*t - 2*x. Solve 2*y**l - 11*y**2 + y**t - 4*y**3 = 0 for y.
-3, 0
Let h(t) be the second derivative of -26*t + 2*t**4 - 14/3*t**3 + 0 - 1/15*t**6 + 5*t**2 - 1/5*t**5. Factor h(a).
-2*(a - 1)**3*(a + 5)
Let i = -93 - -95. Find u, given that -15*u - 2*u**2 + 39*u - 32 - i*u**2 = 0.
2, 4
Let o(i) be the first derivative of i**4/48 - 5*i**3/36 + i**2/8 + 3*i/4 - 58. Factor o(z).
(z - 3)**2*(z + 1)/12
Let t(o) be the third derivative of o**7/4200 + 5*o**4/8 + 36*o**2. Let r(z) be the second derivative of t(z). Factor r(k).
3*k**2/5
Let m(t) be the second derivative of 24/5*t**2 + 4/5*t**3 + 1/20*t**4 + 0 + 3*t. Find l, given that m(l) = 0.
-4
Let l(j) be the first derivative of -j**5 - 95*j**4/4 - 275*j**3/3 + 1815*j**2/2 - 839. Factor l(o).
-5*o*(o - 3)*(o + 11)**2
Let a(o) be the first derivative of 0*o + 2/15*o**5 + 0*o**2 + 0*o**3 + 40 + 1/2*o**4. Determine t, given that a(t) = 0.
-3, 0
Let p = -1085/6 - -181. Let u(w) be the second derivative of 5*w + 1/6*w**3 + w**2 + 0 - p*w**4 - 1/20*w**5. Find h, given that u(h) = 0.
-2, -1, 1
Let v = -61 + 63. Determine b, given that 12 - 21*b**4 - 48*b + 2*b**v - 8*b**2 + 48*b**3 + 15*b**2 = 0.
-1, 2/7, 1, 2
Suppose -3728*r + 3714*r = -56. Find t such that -3/7*t**5 + 9/7 - 26/7*t**2 + 3*t + 17/7*t**r - 18/7*t**3 = 0.
-1, -1/3, 1, 3
Let u be 403/143 - 4/(-22). Suppose -u*q - 27 + 2 = -4*l, -l = 3*q + 5. Solve n**l - n**3 - 2 + 2*n + 2*n + n**4 - 3*n**3 = 0.
-1, 1
Let s(k) = 20*k**3 + 60*k**2 + 28*k - 12. Let b(x) = -8*x**3 - 24*x**2 - 11*x + 5. Let y = 39 + -44. Let w(r) = y*s(r) - 12*b(r). Find g, given that w(g) = 0.
-2, -1, 0
Let f(j) be the third derivative of j**6/360 + 23*j**5/180 + 5*j**4/3 - 8*j**3 + 39*j**2 + 2*j. Suppose f(g) = 0. Calculate g.
-12, 1
Factor 0 - 4/3*i - 4/3*i**2.
-4*i*(i + 1)/3
Let c(o) be the third derivative of -o**6/30 + 9*o**5/5 - 28*o**4 - 392*o**3/3 - 170*o**2 - 2*o. Factor c(k).
-4*(k - 14)**2*(k + 1)
Let x be (-130)/130 - (0 + -1). Let q(z) be the third derivative of 0 + x*z + 0*z**3 + 1/480*z**6 - 12*z**2 - 1/120*z**5 - 1/32*z**4. Factor q(m).
m*(m - 3)*(m + 1)/4
Let i(s) = s**3 - 3*s**2 - s - 44. Let w be i(0). Let d be 20/(-8) + 3 - (-6)/w. Determine y so that -2/11*y**2 - d - 6/11*y = 0.
-2, -1
Suppose 12*a + 29*a + 67 = 190. Factor -2*o + 1/2*o**a - 1 + 1/4*o**4 - 3/4*o**2.
(o - 2)*(o + 1)**2*(o + 2)/4
Suppose 0 = -5*f - 51 + 146. Suppose 3*b - 55 = -f. Factor -18*p**2 + 12*p**3 - 3*p**4 + 3 - 3 + b*p - 3.
-3*(p - 1)**4
Let h be (13/3 - 3)/(33/99). Determine r, given that -16*r + 16*r**2 - 20/3*r**3 + r**h + 16/3 = 0.
2/3, 2
Let m(w) be the third derivative of -7*w**2 + 1/120*w**6 + 0*w**4 + 0*w + 5/6*w**3 + 0 + 1/40*w**5. Let s(h) be the first derivative of m(h). Factor s(b).
3*b*(b + 1)
Let z(j) be the second derivative of -1/4*j**4 + 0 - 3*j**2 + 3/2*j**3 - 4*j. Factor z(k).
-3*(k - 2)*(k - 1)
Determine r, given that 15*r**2 + 108 - 17*r + 5*r - 152*r + 38*r - 150*r = 0.
2/5, 18
Factor 0*v + 16/5 - 1/5*v**2.
-(v - 4)*(v + 4)/5
Let o(x) = x**3 + 9*x**2 + 3. Let v be o(-9). Factor -14*h + h**2 + 7*h + h + h**v + 4*h.
h*(h - 1)*(h + 2)
Let v(x) = 3*x**2 - 47*x - 12. Let p be v(16). Let k be (40/3)/p - 1. Suppose k*d**4 - 2/3*d**3 - 1/3*d**2 + 0*d + 0 - 4/3*d**5 = 0. Calculate d.
-1/4, 0, 1
Let z(o) be the third derivative of o**8/70560 - o**7/2205 - o**6/280 + o**5/2 + 18*o**2. Let w(a) be the third derivative of z(a). Factor w(k).
2*(k - 9)*(k + 1)/7
Let r(l) be the first derivative of l**3/18 + l**2 + 6*l - 79. Factor r(t).
(t + 6)**2/6
Let n = 1295/2596 + 11/236. Let 4/11 + n*y**3 - 6/11*y - 2/11*y**4 - 2/11*y**2 = 0. Calculate y.
-1, 1, 2
Let c(k) be the third derivative of 0 + 12*k**2 + 0*k - 2/15*k**3 + 8/525*k**7 - 1/30*k**4 + 3/25*k**5 - 11/150*k**6. Determine d so that c(d) = 0.
-1/4, 1
Find g such that -4/7*g**3 - 24/7 - 24/7*g**2 - 44/7*g = 0.
-3, -2, -1
Determine j so that 7*j**4 - 2*j**5 + 16*j**2 - 22*j**3 - 11*j**2 + 7*j**2 + 5*j**4 = 0.
0, 1, 2, 3
Let k be 5/(-2)*(-13)/(4875/540). Let 8/5*x**4 - 4/5*x**2 - k*x - 4/5 + 18/5*x**3 = 0. What is x?
-2, -1, -1/4, 1
Let t(k) = k**4 + 12*k**3 - 9*k**2 - 28*k + 24. Let h(m) = m**4 + 24*m**3 - 18*m**2 - 55*m + 48. Let w(c) = -2*h(c) + 5*t(c). Factor w(v).
3*(v - 1)**2*(v + 2)*(v + 4)
Let -1/4*r**2 + 0 - 31/4*r = 0. What is r?
-31, 0
Let g(z) be the second derivative of -6 - z - 2/3*z**3 + 4*z**2 + 1/24*z**4. Determine m so that g(m) = 0.
4
Let t = -45 - -50. Let c(i) be the second derivative of 0*i**2 - 2/65*i**t + 0 + 1/78*i**4 + i + 0*i**3. Factor c(m).
-2*m**2*(4*m - 1)/13
Let r = 3199 + -28789/9. What is y in 0 + 2/9*y**5 + 0*y + 0*y**2 - r*y**4 - 4/9*y**3 = 0?
-1, 0, 2
Suppose b + 7 = 13. Determine l so that -3 - 3/2*l**3 - 15/2*l - b*l**2 = 0.
-2, -1
Let h be 2/8*10/50. Let f(q) be the second derivative of 0 + 1/6*q**3 + 1/4*q**4 - q**2 - 1/30*q**6 + 3*q - h*q**5. Let f(o) = 0. Calculate o.
-2