0 + l**8/30240 - l**7/3780 + 19*l**5/60 - l**2. Let f(a) be the third derivative of b(a). Factor f(i).
2*i*(i - 1)*(i + 2)/3
Let m = -26 - -28. Suppose 29*j - 2*j**2 - 26*j - j**m = 0. What is j?
0, 1
Let i(s) = -4*s - 50. Let y be i(8). Let x = -82 - y. Determine u, given that 0 - 1/6*u**4 + x*u + 1/3*u**3 - 1/6*u**2 = 0.
0, 1
Let m(q) be the second derivative of 0 - 3/65*q**6 + 20/39*q**3 + 43/130*q**5 - 10*q - 31/39*q**4 + 8/13*q**2. Find b, given that m(b) = 0.
-2/9, 1, 2
Let o(s) be the third derivative of -8/21*s**3 - 118/105*s**5 + 0 - 27/490*s**7 + 0*s - 20/21*s**4 - 5*s**2 - 3/7*s**6. Factor o(x).
-(x + 2)**2*(9*x + 2)**2/7
Let v(i) be the first derivative of -17 + 3/20*i**5 + 3/4*i**2 - 3/4*i + 0*i**3 - 3/8*i**4. Determine g so that v(g) = 0.
-1, 1
Let v = -15/91 + 955/273. Find p, given that v*p**4 + 0*p + 5/3*p**5 + 0 + 0*p**2 + 5/3*p**3 = 0.
-1, 0
Let b(n) be the second derivative of -1/1620*n**6 + 1/2*n**3 - 5*n + 1/540*n**5 + 0*n**4 + 0*n**2 + 0. Let x(l) be the second derivative of b(l). Factor x(z).
-2*z*(z - 1)/9
Let k(y) be the first derivative of y**3 + 12*y**2 + 21*y - 56. Solve k(j) = 0.
-7, -1
Suppose 5*a - b - 16 = 1, 0 = -5*b - 10. Factor 100*r**5 - 3*r**3 - 233*r**a + 68*r**2 - 20*r**2 - 40*r**4 + 144*r.
4*r*(r + 1)**2*(5*r - 6)**2
Let t(n) be the second derivative of -1/3*n**3 + 0 - 1/12*n**4 - 1/2*n**2 + n. Factor t(f).
-(f + 1)**2
Suppose 27*s - 47*s = 54*s + 10*s. What is x in 1/4*x**3 + s*x - 1/2*x**2 + 0 = 0?
0, 2
Let a(u) = u**2 + 14*u + 24. Let t be a(-13). Suppose t*p + 12 = 15*p. Determine y, given that 3/2*y**2 + 1/2*y**p + 0 + y = 0.
-2, -1, 0
Let w be (-9*(-10)/20)/3. What is y in w*y**2 - 3/2*y**3 + 3*y + 0 = 0?
-1, 0, 2
Let f(v) be the third derivative of 0*v + 20*v**2 - 11/192*v**4 + 0 - 7/960*v**6 + 1/30*v**5 + 1/24*v**3. Suppose f(k) = 0. Calculate k.
2/7, 1
Let k be (-6)/(-27)*(-135)/(-90). Let s = 124/3 - 41. Let s*x**3 + k*x**2 + 0 + 0*x = 0. Calculate x.
-1, 0
Let m(x) be the third derivative of -1/180*x**6 + 0 - 2*x**2 + 0*x**3 + 0*x - 1/30*x**5 + 0*x**4. Let m(a) = 0. Calculate a.
-3, 0
Let o(f) be the third derivative of -f**7/105 - 17*f**6/180 - 7*f**5/30 + f**4/4 + 14*f**2 - 3*f. Factor o(h).
-2*h*(h + 3)**2*(3*h - 1)/3
Let i(t) be the second derivative of 0*t**2 + 0 + 15*t - 1/4*t**5 + 2/3*t**4 - 2/3*t**3 + 1/30*t**6. Determine c, given that i(c) = 0.
0, 1, 2
Let h(w) be the second derivative of -w**7/6300 + w**6/600 - w**5/150 + 2*w**4/3 + 16*w. Let a(r) be the third derivative of h(r). Suppose a(n) = 0. What is n?
1, 2
Let -169 - 31*b**2 - 5*b**3 - 57*b**2 - 326 - 54*b**2 + 285*b + 117*b**2 = 0. What is b?
-11, 3
Let q(k) be the third derivative of k**7/7560 - k**6/432 - 25*k**4/24 - 4*k**2. Let d(g) be the second derivative of q(g). Factor d(v).
v*(v - 5)/3
Let c(s) be the second derivative of s**7/105 - s**6/75 - 7*s**5/50 + 13*s**4/30 - 2*s**3/5 + 39*s - 1. Solve c(d) = 0 for d.
-3, 0, 1, 2
Let k(c) be the first derivative of -c**4/40 + 8*c**3/15 - 3*c**2/4 - 233. Factor k(x).
-x*(x - 15)*(x - 1)/10
Let v be 2/(-3) + 392/12. Let j be (-1)/10 - (-84)/40. Find l, given that -19*l**2 + 34*l**2 - v*l**4 + 19*l**2 - j = 0.
-1, -1/4, 1/4, 1
Let a(c) = -c**3 + 7*c**2 - 6*c. Let z be a(6). Let q be (-10)/(50/15) + (-46)/(-7) + -1. Solve 8/7*p**4 + 4/7*p - q*p**2 + z + 6/7*p**3 = 0.
-2, 0, 1/4, 1
Let l(a) = 4*a**3 + 11*a**2 + 25*a - 6. Let d(b) = -3*b**3 - 9*b**2 - 25*b + 7. Let o(u) = -6*d(u) - 5*l(u). Factor o(v).
-(v - 3)*(v + 4)*(2*v - 1)
Let l(d) be the second derivative of d**5/15 + 31*d**4/54 + 41*d**3/27 + 2*d**2/3 + 16*d - 10. Factor l(a).
2*(a + 2)*(a + 3)*(6*a + 1)/9
Let v be 19/3 + 17/51*-15. Let 4/3*g**4 + 0*g + 10/3*g**3 + 0 + v*g**2 = 0. What is g?
-2, -1/2, 0
Factor 2/3*s**2 + 0 - 4/3*s.
2*s*(s - 2)/3
Let w(q) be the third derivative of 0 + 12*q**2 + 3/70*q**7 - 1/5*q**6 + 0*q - 2*q**3 + 1/20*q**5 + q**4. Suppose w(g) = 0. What is g?
-1, 2/3, 1, 2
Let p = -4/45 - -58/315. Let q(c) be the third derivative of 0*c - c**2 - p*c**3 + 1/70*c**5 + 0 + 1/84*c**4. Factor q(j).
2*(j + 1)*(3*j - 2)/7
Suppose -7*y + 20 = -2*y + 4*q, 0 = -2*q - 10. Solve -10*f**3 + 3 - 21*f**4 - y + 26*f**4 + 10*f = 0.
-1, 1
Let c(k) = -k**2 + 7*k - 14. Let s be c(4). Let b(v) = -14*v**2 + 4*v + 2. Let t(u) = 28*u**2 - 8*u - 5. Let o(d) = s*t(d) - 5*b(d). Factor o(f).
2*f*(7*f - 2)
Factor -7 + 36/5*y + 34/5*y**2 - 36/5*y**3 + 1/5*y**4.
(y - 35)*(y - 1)**2*(y + 1)/5
Let s = 1207 - 1204. Find r, given that -1/6*r**4 + 0*r - 1/6*r**2 - 1/3*r**s + 0 = 0.
-1, 0
Let y = -286 - -292. Let l(i) be the first derivative of 0*i**2 + 0*i + 2/35*i**5 - 1 + 1/14*i**4 - 1/21*i**y - 2/21*i**3. Factor l(v).
-2*v**2*(v - 1)**2*(v + 1)/7
Let i(h) be the second derivative of -h**10/45360 - h**9/4536 - h**8/1260 - h**7/945 + 13*h**4/12 + 3*h. Let b(g) be the third derivative of i(g). Factor b(r).
-2*r**2*(r + 1)*(r + 2)**2/3
Let f(v) = 8*v**2 - v. Let z be f(1). Let q be z/2*(-18)/(-21). Factor -k**q + 4 - 1 - 4*k**2 - 2 + 3*k**2 + k.
-(k - 1)*(k + 1)**2
Let m = -1461 - -1461. Let u(w) be the second derivative of 0 - 4*w - 1/27*w**3 + m*w**2 + 1/54*w**4. Factor u(h).
2*h*(h - 1)/9
Suppose -3*z - 2*z - 4*l = -14, 5*l = -2*z + 9. Let 42*v - 34*v + z*v**2 + 5 + 3 = 0. What is v?
-2
Let h be 1*10*(-7 + 6). Let o = h + 13. Factor -2 - 4*p + 6*p**o + 14*p**3 + 2 - 2*p**2.
2*p*(2*p - 1)*(5*p + 2)
Let f be (-120)/(-90) + 2/15*5. Factor 4/5 + 11/5*t**f + 24/5*t.
(t + 2)*(11*t + 2)/5
Let f(c) be the second derivative of c**5/15 + 49*c**4/36 + 2*c**3/3 - c - 10. Factor f(l).
l*(l + 12)*(4*l + 1)/3
Let w(m) be the first derivative of -m**4/2 - 20*m**3/3 - 28*m**2 - 48*m - 45. Solve w(y) = 0.
-6, -2
Let s(p) = -p**2 + 29*p - 67. Let b(r) = -135 + 7*r - r**2 - 5*r + 55*r. Let v(m) = -3*b(m) + 7*s(m). Determine d so that v(d) = 0.
4
Solve -23/3*p**2 - 1/6*p + 1 + 3*p**4 + 13/2*p**3 = 0 for p.
-3, -1/3, 1/2, 2/3
Let n(w) be the second derivative of 0*w**2 + w + w**3 + 1/12*w**4 - 11. Factor n(c).
c*(c + 6)
Suppose 4*v - 5*v + 1 = -2*l, l - 5*v + 23 = 0. Let -2*z**3 + 2/3*z**l + 1/3*z**5 - 1 + 1/3*z**4 + 5/3*z = 0. Calculate z.
-3, -1, 1
Let x(k) = k - 4. Let q be x(7). Factor -8 - q*m**3 + 6 + 5 - 9*m + 9*m**2.
-3*(m - 1)**3
Let v(s) be the third derivative of s**6/450 - 23*s**5/450 - 17*s**4/45 - 28*s**3/45 - 228*s**2. Determine m, given that v(m) = 0.
-2, -1/2, 14
Suppose -80 = 3*m - 8*m. Solve -239*l**2 + 251*l**2 + 0*l**4 - m*l + 6 - 2*l**4 = 0.
-3, 1
Let z(v) = -v**4 + v**3 - 1. Let k(d) = 2*d**3 - 6*d**3 + 8*d - 11*d**4 - 3 - 7*d**3 + 4*d**4 - 8*d**2. Let h(g) = -k(g) + 3*z(g). Factor h(b).
2*b*(b + 2)**2*(2*b - 1)
Let n(u) be the third derivative of -1/24*u**4 + 0*u**3 + 1/120*u**6 + 1/210*u**7 + 0*u - 36*u**2 + 0 - 1/60*u**5. Determine v, given that n(v) = 0.
-1, 0, 1
Let k(l) be the first derivative of l**4/20 - 12*l**3/5 + 162*l**2/5 - 101. Factor k(s).
s*(s - 18)**2/5
Let p(y) = -y**3 - 5*y**2 - 8*y - 18. Let r be p(-6). Let l be (24/r)/(-4) + 1. Factor l*m + 20/11*m**3 + 2/11*m**5 - 2/11 - 20/11*m**2 - 10/11*m**4.
2*(m - 1)**5/11
Let k(o) be the first derivative of -o**4/26 - 24*o**3/13 - 432*o**2/13 - 3456*o/13 + 80. Solve k(v) = 0.
-12
Let c = -1/37 - -39/74. Let r(s) be the third derivative of 0 - c*s**3 + 0*s - s**2 - 5/16*s**5 - 5/8*s**4. Factor r(n).
-3*(5*n + 2)**2/4
Let u(s) be the second derivative of -2*s**7/147 - 8*s**6/35 - 36*s**5/35 - 32*s**4/21 - 2*s - 41. Find n such that u(n) = 0.
-8, -2, 0
Find g such that -35*g**2 + 0 + 31*g**2 + g**3 + 4 - 4*g + 6*g**3 - 3*g**3 = 0.
-1, 1
Suppose 0 = -r + 206 - 203. Let s(o) be the first derivative of 0*o + 4/9*o**r + 2/3*o**2 - 3. Factor s(g).
4*g*(g + 1)/3
Let r(a) be the second derivative of 1/70*a**6 + 3/14*a**3 - 5/28*a**4 + 0 + 25*a + 0*a**2 + 3/140*a**5. Factor r(m).
3*m*(m - 1)**2*(m + 3)/7
Suppose -25 = -23*s + 21. Let v(k) be the first derivative of 7 + 1/2*k**s + 0*k + 1/9*k**3. Determine t, given that v(t) = 0.
-3, 0
Let p(b) = 7*b**4 - 59*b**3 + 50*b**2 + 124*b - 4. Let q(j) = 20*j**4 - 178*j**3 + 151*j**2 + 371*j - 11. Let k(c) = -11*p(c) + 4*q(c). Let k(t) = 0. What is t?
-1, 0, 2, 20
Let t(a) be the first derivative of -2*a**3/3 + 72*a**2 - 2592*a - 7. Factor t(m).
-2*(m - 36)**2
Factor 160 + 37 - 37 + 4*l**3 + 0*l**3 - 4*l**2 - 88*l + 0*l**3.
4*(l - 4)*(l - 2