hat 19*k - 3*k**5 - 7*k - 393*k**4 + 387*k**4 + 5*k**5 - 6*k**3 + 14*k**2 = 0.
-1, 0, 2, 3
Let z(v) be the third derivative of -v**8/756 + 11*v**7/945 - 4*v**6/135 - v**5/135 + v**4/6 - v**3/3 - 3*v**2 + 28. Determine n, given that z(n) = 0.
-1, 1, 3/2, 3
Suppose 4*x = -0*x - 3*a + 22, 2*x + a = 10. Factor -11*k**4 + 991*k**3 - 986*k**3 + k**x + 5*k**5.
5*k**3*(k - 1)**2
What is g in 0*g + 6*g**2 + 67*g + 13*g + 6*g**2 - 82 - 10*g**2 = 0?
-41, 1
Let k(r) be the third derivative of -r**5/30 - 5*r**4/3 - 19*r**3/3 + 130*r**2. What is p in k(p) = 0?
-19, -1
Let y(u) = -18*u**2 + 5*u - 5. Let l(r) = 28*r**2 - 8*r + 8. Let s(v) = -5*l(v) - 8*y(v). Factor s(o).
4*o**2
Solve -2700 + 291*v**2 + 15*v**3 - 4*v - 11*v**3 + 2492 - 83*v**2 = 0 for v.
-52, -1, 1
Let n = -2/329 + 1657/1974. Let b(o) be the first derivative of -6 + 7/4*o**2 - o - n*o**3. Let b(z) = 0. Calculate z.
2/5, 1
Let h(d) be the third derivative of 15/8*d**4 + 13/20*d**5 + 0*d + 8*d**2 + 0 + d**3. Factor h(l).
3*(l + 1)*(13*l + 2)
Factor -4/5*a**2 - 192/5 + 76/5*a.
-4*(a - 16)*(a - 3)/5
Let n(h) be the third derivative of -11*h**2 + 5/12*h**3 + 0*h - 11/96*h**4 + 1 + 1/240*h**5. Factor n(k).
(k - 10)*(k - 1)/4
Suppose 2/3*l - l**2 + 1/3*l**3 + 0 = 0. Calculate l.
0, 1, 2
Let k(l) be the second derivative of -l**10/6048 - 5*l**9/3024 - l**8/192 - l**7/168 + 2*l**4/3 - l. Let i(u) be the third derivative of k(u). Factor i(g).
-5*g**2*(g + 1)**2*(g + 3)
Let a be 27/6*(-1)/(-69). Let g = 101/138 - a. Factor -g - v - 1/3*v**2.
-(v + 1)*(v + 2)/3
Let a(w) be the third derivative of -w**5/60 - 23*w**4/24 + 25*w**3/3 - 2*w**2 + 13. Suppose a(u) = 0. Calculate u.
-25, 2
Let f = -344 - -223. Let r = 124 + f. Factor 2/11*p - 2/11*p**r - 4/11 + 4/11*p**2.
-2*(p - 2)*(p - 1)*(p + 1)/11
Let m be 8/(-44) + (-63)/(-165). Let t(y) be the first derivative of -8 - m*y - 3/25*y**5 + 1/2*y**4 - 4/5*y**3 + 3/5*y**2. Solve t(b) = 0 for b.
1/3, 1
Let t be 276/160 - (46/(-16) + 3). Factor t*f**3 - 12/5*f**2 - 2/5*f**4 + 8/5*f - 2/5.
-2*(f - 1)**4/5
Factor 0 - 1/8*w + 1/8*w**2.
w*(w - 1)/8
Let b(k) be the third derivative of -1/96*k**4 + 0*k - 32*k**2 - 1/60*k**5 - 1/160*k**6 + 0 + 0*k**3. Factor b(p).
-p*(p + 1)*(3*p + 1)/4
Suppose 4*a + 134 = 134. Let j(s) be the third derivative of -1/20*s**5 - 1/2*s**3 - 8*s**2 + a*s + 0 + 1/4*s**4. Factor j(o).
-3*(o - 1)**2
Let m = -1453/3 + 487. Determine d, given that -8/3*d - m*d**2 + 0 - 2/3*d**3 = 0.
-2, 0
Let q be (-3055)/(-7)*24/15*5. Let h = 3503 - q. Factor 81/7*f + 27/7*f**3 + 3/7*f**4 + h*f**2 + 0.
3*f*(f + 3)**3/7
Let y(l) be the second derivative of -l**5/15 - 17*l**4/3 - 578*l**3/3 - 9826*l**2/3 - 19*l + 2. Find o, given that y(o) = 0.
-17
Let f(l) be the second derivative of l**6/480 - l**5/40 + l**4/8 - 3*l**3 - 6*l. Let a(m) be the second derivative of f(m). Factor a(r).
3*(r - 2)**2/4
Let w(q) be the first derivative of -5*q**3/3 - 55*q**2 - 605*q + 30. Factor w(l).
-5*(l + 11)**2
Let y be (2 - 18/4)*(-738)/205. Let f(p) be the first derivative of p**2 - 1/3*p**3 - y + 0*p. Factor f(a).
-a*(a - 2)
Suppose 508 = -2*r + 512. Let h(a) be the first derivative of 1 + 1/4*a + 1/12*a**3 - 1/4*a**r. Determine f, given that h(f) = 0.
1
Let o(j) = j**2 - 11*j - 29 - 2*j**2 - 3*j**2 - 6*j. Let h(d) = -2*d**2 - 9*d - 15. Let r(c) = 14*h(c) - 6*o(c). Factor r(t).
-4*(t + 3)**2
Let v(i) be the third derivative of 5*i**8/336 + 2*i**7/21 - 7*i**5/6 - 85*i**4/24 - 5*i**3 + 7*i**2 + 12*i. Factor v(j).
5*(j - 2)*(j + 1)**3*(j + 3)
Let u(l) = -10*l**3 - 27*l**2 - 3*l + 40. Let q(y) = -5*y**3 - 14*y**2 - y + 20. Let r be (3/2)/((-14)/56). Let m(f) = r*u(f) + 13*q(f). Factor m(j).
-5*(j - 1)*(j + 1)*(j + 4)
Solve 2/3*u**4 - 20/9*u**3 + 2/9*u**5 - 20/3*u**2 + 6 + 2*u = 0.
-3, -1, 1, 3
Determine v, given that 375/2*v**4 - 1005*v**2 + 378*v - 4725/2*v**3 + 156 = 0.
-2/5, 2/5, 13
Let n(a) be the first derivative of a**6/2 - 9*a**5/5 + 3*a**4/2 + 2*a**3 - 9*a**2/2 + 3*a + 477. Let n(y) = 0. What is y?
-1, 1
Let l = 214/3201 + 7/291. Determine t, given that 0 + l*t**2 + 0*t = 0.
0
Let m(b) = -22*b + 22. Let r be m(1). Let w(a) be the second derivative of 2/3*a**3 + a**2 + 1/6*a**4 - 2*a + r. Factor w(x).
2*(x + 1)**2
Let k(y) be the second derivative of 1/30*y**5 + 5/9*y**3 - 2/9*y**4 - 2/3*y**2 + 0 - y. Factor k(j).
2*(j - 2)*(j - 1)**2/3
Let p(j) = j + 1. Let b be p(-3). Let y be (b + 1)/((-4)/8). Factor 2*r**y + 6*r - r + r.
2*r*(r + 3)
Let x(r) be the first derivative of r**6/360 - r**5/60 + r**4/24 - 12*r**3 - 51. Let o(w) be the third derivative of x(w). Determine b, given that o(b) = 0.
1
Let m = -6 + -22. Let q be 1 + (3 - (-96)/m). Factor 2/7*c**2 - 2/7*c - q.
2*(c - 2)*(c + 1)/7
Factor -7/3*w**2 + 1/3*w**3 - 8/3 + 14/3*w.
(w - 4)*(w - 2)*(w - 1)/3
Let c(b) be the second derivative of -b**5/30 + b**4/6 + 7*b**2/2 - 5*b. Let z(v) be the first derivative of c(v). Determine o, given that z(o) = 0.
0, 2
Let o(f) = 3*f**3 + f. Let v be o(-1). Let z = 14 + v. What is n in 25*n**4 - 69*n**3 - 10*n**5 + 23*n**4 + n - z*n + 42*n**2 - 2*n**5 = 0?
0, 1/2, 1, 3/2
Let q = -251 + 361. Let x be (-4)/(-11)*q/20. Let -2*j**4 + 4/3 - 2*j - 2*j**x + 14/3*j**3 = 0. Calculate j.
-2/3, 1
Let n = -254 + 248. Let v be (48/(-9) - -5)/(11/n). Let -v*p**2 + 4/11*p + 0 = 0. What is p?
0, 2
Let a(j) = -j**3 - 37*j**2 - 121*j + 366. Let s be a(-33). Find f, given that 1/4*f**4 + 1/4*f**5 - 3/4*f**s - 1/4*f**2 + 0 + 1/2*f = 0.
-2, -1, 0, 1
Factor 35/2*t**3 + 11/2*t**2 + 1/2*t + 25/2*t**4 + 0.
t*(t + 1)*(5*t + 1)**2/2
Factor -16 - 64/3*k + 7/3*k**4 + 4*k**3 + 1/3*k**5 - 16/3*k**2.
(k - 2)*(k + 2)**3*(k + 3)/3
Let p be (-8)/2 + (-5)/(-1). Suppose 3*w + p = v - 4, -3*v + 7 = -w. Factor -2/9*q**v + 4/9 - 2/9*q.
-2*(q - 1)*(q + 2)/9
Suppose 3*r = 2*a - 16, 8*r - 3*r + 30 = 4*a. Let j be r*(0/(-5) - 1). Suppose -7/3*c**j - 4/3 - 16/3*c = 0. Calculate c.
-2, -2/7
Let c = -2166 - -15178/7. Let 4/7 + 4/7*l**4 - 8/7*l**2 + 32/7*l**3 - c*l - 16/7*l**5 = 0. What is l?
-1, 1/4, 1
Let b = -4503776/1344861 + -7/21347. Let h = 34/9 + b. Solve h*o**3 - 4/7*o - 1/7*o**4 + 0 + 0*o**2 = 0.
-1, 0, 2
Factor 1/5*r**2 + 0 + 0*r + 1/10*r**3.
r**2*(r + 2)/10
Let p(l) be the second derivative of -13*l + 13/2*l**2 + 0*l**3 + 0 - 3/32*l**4 - 1/80*l**5. Let h(w) be the first derivative of p(w). Factor h(j).
-3*j*(j + 3)/4
Let j = -3088 - -3088. Factor 3/4*m**2 + j*m - 3/4.
3*(m - 1)*(m + 1)/4
Let u = 920 - 920. Factor 2/5*j**2 + u + 2/15*j**3 + 4/15*j.
2*j*(j + 1)*(j + 2)/15
Let r(x) = x**3 + 6*x**2 + 2*x + 2. Let v be r(-6). Let b be (-6)/5*v/4. Factor -b*g**3 - 8*g**2 + 0*g**2 - 5*g - g**2 - g.
-3*g*(g + 1)*(g + 2)
Let b be (-10)/(-3) - ((-76)/6 + 12). Let h(f) be the first derivative of 2 + 9/5*f**2 - 18/5*f**3 + 4/5*f - 486/25*f**5 - 189/10*f**b. Factor h(m).
-2*(3*m + 1)**3*(9*m - 2)/5
Let -13*i**2 - 4339 - 64*i + 4323 - 15*i**2 = 0. Calculate i.
-2, -2/7
Let i(g) = g**2 - g - 4. Let c be i(-2). Factor 38*h**2 - 40*h**c + 5*h + 5*h - 6 - 2*h**3.
-2*(h - 1)**2*(h + 3)
Let l(s) be the first derivative of -5*s**4/14 - 724*s**3/21 - 6624*s**2/7 - 5184*s/7 - 214. Factor l(y).
-2*(y + 36)**2*(5*y + 2)/7
Let z = 909 - 907. Factor -2/3*v - v**3 + 0 + 5/3*v**z + 1/3*v**5 - 1/3*v**4.
v*(v - 1)**3*(v + 2)/3
Let h(q) be the first derivative of -2*q**3/51 - 26*q**2/17 - 338*q/17 + 136. Solve h(b) = 0.
-13
Let o(r) be the first derivative of r**4/7 - 2*r**3 - 9*r**2 - 52*r/7 - 427. Let o(c) = 0. Calculate c.
-2, -1/2, 13
Let h(j) be the first derivative of 15*j**4/4 - 8*j**3 + 3*j**2/2 + 11*j - 24. Let i(f) be the first derivative of h(f). Find c, given that i(c) = 0.
1/15, 1
Let p(l) be the second derivative of -l**7/315 + l**5/90 + 8*l**2 + 7*l. Let z(a) be the first derivative of p(a). Factor z(d).
-2*d**2*(d - 1)*(d + 1)/3
Let f(z) = z**5 + 5*z**4 - 11*z**2 - 4*z + 3. Let h(q) = -q**5 - 4*q**4 + q**3 + 10*q**2 + 4*q - 2. Let j(k) = 2*f(k) + 3*h(k). Let j(o) = 0. Calculate o.
-2, -1, 0, 2
Let n(q) be the third derivative of -q**8/1344 - q**7/140 + q**6/240 + q**5/20 - q**4/96 - q**3/4 - 295*q**2. Solve n(w) = 0.
-6, -1, 1
Let a(b) be the third derivative of b**6/540 + b**5/270 - 2*b**4/27 - 4*b**3/9 - 329*b**2. Factor a(w).
2*(w - 3)*(w + 2)**2/9
Let i be (12/(-8))/(-6 + 3)*4. Let o(m) be the second derivative of -1/6*m**4 - m**i + 