e the third derivative of -11/156*s**4 + 0*s - 2/39*s**3 - 19/390*s**5 - 1/60*s**6 - 1/455*s**7 - 7*s**2 + 0. Determine a so that l(a) = 0.
-2, -1, -1/3
Solve -2940*n**2 - 3*n**3 + 8 + 18*n + 3*n**3 + 2951*n**2 - n**4 = 0.
-2, -1, 4
Let a = 18108 + -181079/10. Let a*b**2 + 2/5 - 1/2*b = 0. What is b?
1, 4
Let i = -8688 - -130322/15. Factor -2/3*w - 8/15 - i*w**2.
-2*(w + 1)*(w + 4)/15
Let w(n) be the third derivative of 0*n - 1/60*n**4 - 2/225*n**5 + 0 + 0*n**3 - 1/900*n**6 - 24*n**2. Determine d, given that w(d) = 0.
-3, -1, 0
Let y(h) = 8*h**2 - 2*h + 5. Let i(b) = -b**2 - 1. Let a(l) = 6*i(l) + y(l). Let p be a(2). Factor 0*g + 2/5*g**5 + 0 + 4/5*g**2 - 6/5*g**p + 0*g**4.
2*g**2*(g - 1)**2*(g + 2)/5
Suppose -4*o - 5*d = -d + 40, -4 = d. Let u be 3 + o + 4 - -4. Factor -4*t**4 + 7*t**2 - u*t**2 - 8*t**3 - 6*t**2.
-4*t**2*(t + 1)**2
Let v be 42/(-4)*2852/(-345). Let b = v - 86. Factor -2*i**4 + 0 - b*i - 24/5*i**3 - 18/5*i**2.
-2*i*(i + 1)**2*(5*i + 2)/5
Let p = -32 + 35. Factor w**2 - 8*w - p*w**2 - 2*w**2.
-4*w*(w + 2)
Let f(w) = -w**4 + 29*w**3 - 39*w**2 + 15*w. Let i(t) = -2*t**4 + 28*t**3 - 38*t**2 + 15*t. Let u(c) = 3*f(c) - 4*i(c). Factor u(v).
5*v*(v - 3)*(v - 1)**2
Suppose 48*d**3 - 350*d + 20*d**4 - 44*d**2 + 669*d - 343*d = 0. What is d?
-3, -2/5, 0, 1
Let v(q) be the second derivative of q**7/8820 + 19*q**4/12 + 8*q. Let s(i) be the third derivative of v(i). Find m such that s(m) = 0.
0
Find s, given that 0 - 2/5*s**2 - 38*s = 0.
-95, 0
Let r(x) be the third derivative of x**5/240 + x**4/32 - 3*x**3/4 + 18*x**2 - 2*x. Factor r(c).
(c - 3)*(c + 6)/4
Let n(x) be the first derivative of 5*x**3/3 - 1015*x**2/2 + 1010*x + 342. Find m, given that n(m) = 0.
1, 202
Let b(z) be the second derivative of -z**7/12 - 13*z**6/30 - 13*z**5/40 + 17*z**4/12 + 5*z**3/3 - 2*z**2 - 3*z + 12. Determine n, given that b(n) = 0.
-2, -1, 2/7, 1
Factor -165391 + 165859 - 3*b**3 - 49*b + 129*b**2 - 386*b - 45*b.
-3*(b - 39)*(b - 2)**2
Let h(z) be the second derivative of z**5/20 - z**3/2 - z**2 + 54*z - 4. Solve h(w) = 0 for w.
-1, 2
Let t(s) be the second derivative of 5/12*s**4 + 0*s**2 - 3*s + 5/6*s**3 - 1/6*s**6 + 0 - 1/4*s**5. Factor t(g).
-5*g*(g - 1)*(g + 1)**2
Suppose 4*t - 3*t = -3. Let b be -3*((-6)/12 + 2/t). What is w in 0 - 9*w**3 - b*w**4 - 1/2*w**5 - 4*w - 10*w**2 = 0?
-2, -1, 0
Let t(h) be the second derivative of 5/7*h**3 - 9/7*h**2 + 1/70*h**5 - 34*h - 1/6*h**4 + 0. Let t(f) = 0. What is f?
1, 3
Determine h so that 2/15*h**2 - 16/5 - 46/15*h = 0.
-1, 24
Suppose 2*n - 6*n - 12 = -p, -4*n = -2*p + 16. Determine u, given that 1/3*u**p + 0 - 1/6*u**3 - 1/3*u**2 + 0*u + 1/6*u**5 = 0.
-2, -1, 0, 1
Factor -46*p - 93*p - 8*p**2 - 19*p + 40.
-2*(p + 20)*(4*p - 1)
Let y(m) be the first derivative of m**6/105 - m**5/70 - m**4/14 + m**3/21 + 2*m**2/7 + 24*m + 14. Let l(h) be the first derivative of y(h). Factor l(o).
2*(o - 2)*(o - 1)*(o + 1)**2/7
Let p be (3/(-2))/((-81)/12 - -6). Factor -3*q**2 + 4*q**2 - 2*q**p + 0*q**2.
-q**2
Suppose -3*s + p = -3, 5*s - 9 = s + 3*p. Factor 0 + 1/3*g**2 + s*g.
g**2/3
Let a(d) be the second derivative of -d**8/5040 + d**7/630 - d**6/360 + 17*d**3/6 + d. Let k(s) be the second derivative of a(s). Factor k(v).
-v**2*(v - 3)*(v - 1)/3
Factor 0*o + 3/4*o**2 - 3/4.
3*(o - 1)*(o + 1)/4
Suppose 9 = -2*c + 63. Suppose -j + 3*s = -0*j + 5, -s + 5 = 3*j. Factor 1 + c*i + j + 41*i**2 + 4 + 9*i**3 - 11*i**2.
3*(i + 1)*(i + 2)*(3*i + 1)
Let s = 269 + -267. Find i such that 3/5*i**3 + 9/5*i + 9/5*i**s + 3/5 = 0.
-1
Let m = -730 - -732. Let p(j) be the first derivative of -3/4*j + 0*j**m + 11 + 1/4*j**3. Suppose p(d) = 0. Calculate d.
-1, 1
Let a(s) be the third derivative of 2*s**7/105 + s**6/15 - 4*s**5/15 - 4*s**4/3 - s**2 + 19. Factor a(z).
4*z*(z - 2)*(z + 2)**2
Let w(p) = 9*p**3 + 16*p**2 + 20*p + 8. Let m(u) = 0*u**3 + 5*u**3 + 17*u**3 + 34 + 40*u**2 + 50*u - 14. Let o(h) = -5*m(h) + 12*w(h). Factor o(s).
-2*(s + 1)**2*(s + 2)
Factor -1/3*l**2 + 2/3*l + 8/3.
-(l - 4)*(l + 2)/3
What is x in -7*x - 1/2*x**3 - 4 - 7/2*x**2 = 0?
-4, -2, -1
Let r(h) be the first derivative of -9/2*h**2 + 0*h + 11/2*h**3 - 9/4*h**4 + 18 + 3/10*h**5. Factor r(n).
3*n*(n - 3)*(n - 2)*(n - 1)/2
Let f be (52 + -53)/(2/(-18)) + -7. Suppose -2/7*s**f + 4/7 + 2/7*s = 0. Calculate s.
-1, 2
Suppose 6*q - 2*q + 2*a = 16, -2*a = -4*q + 8. Let m(g) be the first derivative of 2 - q*g**3 - 1 + 2*g**3 - 3. Factor m(v).
-3*v**2
Let z(m) be the third derivative of -m**6/420 - m**5/105 + 5*m**4/84 + 2*m**3/7 + m**2 + 19*m. Factor z(j).
-2*(j - 2)*(j + 1)*(j + 3)/7
Let p(f) = f**3 - f + 5. Let h be p(0). Let o = -24 + 27. Determine v, given that -2*v + v**4 + h*v**2 - 4*v**o - v**3 + v**3 = 0.
0, 1, 2
Suppose 2*w + k - 635 = 0, w - 314 = 3*k - 0*k. Let m = w - 943/3. Factor -8/3*a + 2/3*a**2 + m.
2*(a - 2)**2/3
Suppose -2*x - 256 = -5*p, 5*p + 0*x = -3*x + 241. Let f be ((-40)/p)/(3/(-5)). Factor 0*j**3 - f*j**2 + 4/3*j**4 - 2/3*j**5 + 0 + 2/3*j.
-2*j*(j - 1)**3*(j + 1)/3
Let b = -24 + 33. Factor 11 + 16*l + 4*l**2 - 8 + b.
4*(l + 1)*(l + 3)
Determine q, given that -36/11*q - 96/11 + 6/11*q**2 = 0.
-2, 8
Let k be (4/10 - 0) + 0. Let h be (-138)/(-15) - 6 - 48/16. Factor -1/5*o**2 + k + h*o.
-(o - 2)*(o + 1)/5
Let t(g) be the second derivative of -g**6/30 - g**5/2 - 13*g**4/12 + 10*g**3 - 18*g**2 + 2*g + 6. Factor t(q).
-(q - 1)**2*(q + 6)**2
Let j = 8616 - 8613. Factor -2/3*z - 1/3*z**5 + 5/3*z**4 + 0 + 7/3*z**2 - j*z**3.
-z*(z - 2)*(z - 1)**3/3
Let g be (-4)/16 + 5/(700/235). Factor g*l**2 - 2/7*l - 2/7 - 6/7*l**3.
-2*(l - 1)**2*(3*l + 1)/7
Let y(s) = s**2 + 9*s + 11. Let r be (16/6)/((-3)/9). Let u be y(r). Determine p, given that 0 - 1/2*p**2 + 0*p - 1/2*p**u = 0.
-1, 0
Find b, given that 15/2*b - 9*b**2 + 0 = 0.
0, 5/6
Let t(h) be the third derivative of -h**8/640 - 3*h**7/560 - h**6/240 + 7*h**4/12 - 5*h**2. Let b(w) be the second derivative of t(w). Factor b(c).
-3*c*(c + 1)*(7*c + 2)/2
Factor -40*p**3 + 6*p**4 - 15*p**2 - 34*p**3 + 12*p + 53*p**3.
3*p*(p - 4)*(p + 1)*(2*p - 1)
Let m(d) be the second derivative of -d**5/360 + d**4/36 + d**3/3 + 17*d**2/2 - 43*d. Let y(p) be the first derivative of m(p). Factor y(u).
-(u - 6)*(u + 2)/6
Let o = 158 + -156. Let l(h) be the second derivative of 3/20*h**5 + 1/2*h**4 + 0 - 1/2*h**3 - 3*h**2 + o*h. Find r such that l(r) = 0.
-2, -1, 1
Let r(b) be the second derivative of -b**6/135 + 13*b**5/90 + 5*b**4/18 - 13*b**3/27 - 14*b**2/9 + 48*b - 2. Suppose r(y) = 0. Calculate y.
-1, 1, 14
Let h(m) = 7*m**2 + m - 5. Let x(r) = -8*r**2 - 2*r**2 - 3*r + 7 + 2*r. Let a = -412 + 419. Let f(g) = a*h(g) + 5*x(g). Factor f(d).
-d*(d - 2)
Let c(a) be the second derivative of a**4/66 - 2*a**3/11 + 24*a. Solve c(v) = 0.
0, 6
Let c(m) be the third derivative of -6*m + 64/15*m**5 - 4*m**2 + 0 - 15/7*m**7 + 125/168*m**8 + 16/3*m**3 + 8*m**4 - 7/3*m**6. Factor c(p).
2*(p - 2)*(p - 1)*(5*p + 2)**3
Let r(j) be the first derivative of 9*j**4/2 - 10*j**3/3 - 4*j**2 - 323. Let r(d) = 0. What is d?
-4/9, 0, 1
Let j be (-713)/(-93) - 21/3. Factor 0 + 1/3*l**3 - j*l**2 + 1/3*l.
l*(l - 1)**2/3
Suppose -2*p + 0*p = 6. Let x = 5 + p. Let -i**2 - 7*i + 5*i + 2 + 3*i**4 + 4*i**3 - x = 0. What is i?
-1, 0, 2/3
Let h(s) be the third derivative of -s**5/12 - 5*s**4/4 - 25*s**3/6 + 95*s**2. What is t in h(t) = 0?
-5, -1
Let t(a) = 3*a**3 + 75*a**2 - 345*a + 240. Let y(m) = m**3 + 19*m**2 - 86*m + 60. Let o(i) = 2*t(i) - 9*y(i). Factor o(v).
-3*(v - 2)*(v - 1)*(v + 10)
Let c(q) be the second derivative of -q**6/6 + 3*q**5/2 - 80*q**3/3 - 344*q. Factor c(f).
-5*f*(f - 4)**2*(f + 2)
Let q = -68 - -123. Factor -29*x + q*x**2 + 38 - 18 + 12*x - 103*x.
5*(x - 2)*(11*x - 2)
Let s = 1735/56 - 216/7. Find a, given that 0 + 1/4*a - 1/8*a**3 - s*a**2 = 0.
-2, 0, 1
Let a(k) be the third derivative of k**6/40 - 9*k**5/20 + 55*k**2. Determine i so that a(i) = 0.
0, 9
Let a(u) be the first derivative of -1/1260*u**6 - 1/28*u**4 + 3 + 0*u**2 + 0*u - 7/3*u**3 - 1/105*u**5. Let r(w) be the third derivative of a(w). Factor r(i).
-2*(i + 1)*(i + 3)/7
Let b(q) = q**3 - 13*q**2 + 11*q - 4. Let a be b(10). Let t = -379/2 - a. Determine p so that t*p - 3/2 + 3/2*p**3 - 9/2*p**2 = 0.
1
Let t = -3246 + 3248. Let 3/7*u**t + 27/7 + 18/7*u = 0. Calculate u.
-3
Let k = 72 + -31