cond derivative of -2*l + 1/18*l**4 - 1/3*l**2 + 1/18*l**3 + 0 - 1/60*l**5. Determine z, given that q(z) = 0.
-1, 1, 2
Find a, given that -3/4*a**2 - 5043 + 123*a = 0.
82
Let s(k) be the third derivative of k**5/300 - 23*k**4/120 - 4*k**3/5 - 16*k**2 + 2. What is h in s(h) = 0?
-1, 24
Let h(d) be the second derivative of 2/3*d**3 + 0 + 0*d**4 - 3/5*d**5 + 4/15*d**6 + 12*d + 0*d**2. Factor h(x).
4*x*(x - 1)**2*(2*x + 1)
Let 15/2 + 65/2*g + 35/2*g**4 + 5/2*g**5 + 55*g**2 + 45*g**3 = 0. Calculate g.
-3, -1
Let n(v) be the third derivative of -v**6/180 - v**5/20 - v**4/6 - 29*v**3/6 - 35*v**2. Let y(u) be the first derivative of n(u). Factor y(j).
-2*(j + 1)*(j + 2)
Let j = 593 + -3557/6. Let y(u) be the third derivative of 1/24*u**5 + 1/240*u**6 + j*u**4 + 1/3*u**3 + 0*u + 0 - 7*u**2. Factor y(l).
(l + 1)*(l + 2)**2/2
Let a(m) be the second derivative of 65*m**4/12 + 55*m**3/6 - 25*m**2/2 - 4*m. Let i(t) = -8*t**2 - 7*t + 3. Let v(z) = -3*a(z) - 25*i(z). Factor v(r).
5*r*(r + 2)
Let c be 13 + ((-10)/(-2) - 0). Suppose 7*d = d + c. Factor 1/4 - 3/8*n + 3/8*n**d - 1/8*n**2 - 1/8*n**4.
-(n - 2)*(n - 1)**2*(n + 1)/8
Let -15*o**4 - 7*o**4 - 4*o**5 - 24*o**3 + 42 + 10*o**4 + 58*o**2 - 8*o**4 + 5*o**5 + 103*o = 0. Calculate o.
-1, 2, 21
Let a(d) be the third derivative of d**6/600 + 7*d**5/150 + d**4/2 + 12*d**3/5 - 100*d**2. Factor a(z).
(z + 2)*(z + 6)**2/5
Let o(l) = 392*l**2 + 465*l + 162. Let j(i) = -49*i**2 - 58*i - 20. Let w(d) = 51*j(d) + 6*o(d). Suppose w(q) = 0. What is q?
-4/7
Factor -15 - 6*w**2 - 41/2*w - 1/2*w**3.
-(w + 1)*(w + 5)*(w + 6)/2
Let q(f) be the first derivative of -8*f - 2/3*f**3 + 8 + 4*f**2. Find t, given that q(t) = 0.
2
Let l(z) = -5*z**3 + 19*z**2 - 46*z + 20. Let r(t) = 20*t**3 - 75*t**2 + 185*t - 80. Let g(f) = 25*l(f) + 6*r(f). Determine d so that g(d) = 0.
1, 2
Let u(o) be the third derivative of 2*o**7/105 + o**6/5 - o**5/5 - 8*o**4/3 + 8*o**3 - o**2 + 85*o. Solve u(h) = 0 for h.
-6, -2, 1
Let b(c) be the third derivative of -c**8/84 + 4*c**7/105 + 2*c**6/5 + 14*c**5/15 + 5*c**4/6 + 4*c**2 + 54. Solve b(l) = 0.
-1, 0, 5
Let o be ((-168)/(-18))/7*(-6)/(-4). Let b(x) be the first derivative of -3/11*x**o - 4/33*x**3 - 2/11*x + 1. Suppose b(q) = 0. Calculate q.
-1, -1/2
Let u(g) = 6*g - 75. Let t be u(13). Let z(j) be the first derivative of t + 3*j**3 - 3/4*j**4 - 9/2*j**2 + 3*j. Factor z(k).
-3*(k - 1)**3
Let z = 444 - 440. Let q(w) be the first derivative of -16/5*w**5 - z*w**4 + 10*w**2 - 2/3*w**6 + 8*w + 8/3*w**3 - 11. Factor q(h).
-4*(h - 1)*(h + 1)**3*(h + 2)
Let l(y) be the first derivative of -y**5/120 + y**4/72 + y**3/18 - 12*y + 7. Let u(d) be the first derivative of l(d). Factor u(t).
-t*(t - 2)*(t + 1)/6
Suppose 2/3*f**3 - 70/3*f**2 + 722 + 494/3*f = 0. Calculate f.
-3, 19
Let d(f) be the third derivative of f**6/1080 + f**5/120 + f**4/36 - 5*f**3/6 - 19*f**2. Let p(h) be the first derivative of d(h). Solve p(r) = 0 for r.
-2, -1
Let n(o) be the first derivative of 5*o**3/18 - o**2/3 + 87. Determine l, given that n(l) = 0.
0, 4/5
Let y(v) be the second derivative of 0 + 0*v**3 - 1/150*v**6 - 5*v + 1/100*v**5 - 1/210*v**7 + 0*v**2 + 1/60*v**4. Factor y(b).
-b**2*(b - 1)*(b + 1)**2/5
Factor -4/9 + 94/9*r + 98/9*r**2.
2*(r + 1)*(49*r - 2)/9
Suppose -5*n = -n - 12. Suppose -5*q - n*y + 23 = 0, 5 - 10 = -2*q + 3*y. Solve 4/11*u**3 + 4/11*u + 0 - 14/11*u**2 + 6/11*u**q = 0 for u.
-2, 0, 1/3, 1
Let c = -53 + 65. Let l(s) = -s**3 + 12*s**2 + 5. Let h be l(c). Determine o so that -1/5*o**3 + 0*o**2 + 0*o - 1/5*o**h + 0 + 2/5*o**4 = 0.
0, 1
Let w(u) be the first derivative of -2*u**5/5 - 3*u**4/2 - 4*u**3/3 + 172. Suppose w(l) = 0. What is l?
-2, -1, 0
Let y(q) = 14*q**4 + 24*q**3 - 12*q**2 - 26*q - 8. Let p(h) = -26*h**4 - 48*h**3 + 25*h**2 + 53*h + 16. Let d(c) = 2*p(c) + 5*y(c). Factor d(o).
2*(o - 1)*(o + 1)*(3*o + 2)**2
Let t be 135/10*(-8)/(-6). Find j, given that 2 - 3*j + 1 - t*j**3 - 3*j**2 + 13*j**3 + 8*j**3 = 0.
-1, 1
Let y(m) = -4*m**2 - 10*m - 16. Let f(x) = -5*x**2 - 8*x - 18. Let n(i) = -4*f(i) + 6*y(i). Factor n(s).
-4*(s + 1)*(s + 6)
Let l = 1/58 + 13/87. Let c(u) be the first derivative of 2 + 0*u - 1/4*u**2 - l*u**3. Determine b so that c(b) = 0.
-1, 0
Let d(t) be the second derivative of t**6/20 + 3*t**5/8 + t**4 + t**3 + 13*t - 1. Factor d(f).
3*f*(f + 1)*(f + 2)**2/2
Let d be ((-256)/(-10) - 7) + (-11 - -2). Solve d*b**2 - 28/5*b**3 - 12/5*b - 8/5 = 0.
-2/7, 1
Let r(k) be the first derivative of -2*k**2 - 8/3*k**3 - k**4 - 6 + 0*k. Determine c so that r(c) = 0.
-1, 0
Let k(v) be the first derivative of v**5/15 + v**4/12 - v**3/3 - 21*v**2/2 + 7. Let c(p) be the second derivative of k(p). Determine r, given that c(r) = 0.
-1, 1/2
Let m(j) = 37*j**2 + 119*j - 22. Let p(y) = -10*y**2 - 30*y + 6. Let l(b) = -6*m(b) - 22*p(b). Solve l(n) = 0 for n.
-27, 0
Solve 0 + 1/6*y**3 - 1/6*y**4 + 0*y - 1/6*y**5 + 1/6*y**2 = 0 for y.
-1, 0, 1
Find u, given that 1/3*u**4 + 0 + 16/3*u + 14/3*u**3 - 31/3*u**2 = 0.
-16, 0, 1
Let u(b) = b**3 - 6*b**2 - b + 2. Let t be u(6). Let v be (t/6)/(14/(-42)). Factor -m**2 - 16 - 3*m**2 + 3*m**v - 8*m.
-(m + 4)**2
Let o(g) be the first derivative of -g**5/15 + 17*g**4/12 - 7*g**3 - 27*g**2/2 - 70. What is b in o(b) = 0?
-1, 0, 9
Factor 0 - 1/3*j**2 - 127/3*j.
-j*(j + 127)/3
Let w(i) be the first derivative of -4*i**6 + 18*i**5/5 + 69*i**4/4 - 2*i**3 - 27*i**2/2 + 6*i - 233. Find f such that w(f) = 0.
-1, 1/4, 1/2, 2
Let c(t) be the second derivative of t**7/21 + t**6/15 - 3*t**5/10 - 5*t**4/6 - 2*t**3/3 + 52*t + 2. Factor c(z).
2*z*(z - 2)*(z + 1)**3
Suppose -30 = -4*z + 6. Suppose 4*r + 55 = z*r. Determine a, given that 12*a - r*a + 2*a**2 + 3*a**2 + 5*a**3 - a**3 = 0.
-1, -1/4, 0
Solve 2*x + 24*x**2 + 27*x**2 - 60*x**2 - 8*x + 5*x**5 + 9*x**4 - 2*x**5 + 3*x**3 = 0.
-2, -1, 0, 1
Let b = 37 + -55. Let k be 4/6*(-81)/b. Factor 0 + 0*z - 3/2*z**2 - 3/2*z**k.
-3*z**2*(z + 1)/2
Let p(l) be the third derivative of -7*l**6/360 - 3*l**5/4 - 187*l**4/36 - 16*l**3/3 + 591*l**2. Factor p(i).
-(i + 3)*(i + 16)*(7*i + 2)/3
Factor 4/3*z**2 - 8/3*z**3 + 8/3*z - 2 + 2/3*z**4.
2*(z - 3)*(z - 1)**2*(z + 1)/3
Let h(m) = -2*m**2 + 90*m - 482. Let y(x) = -x**2 - x - 1. Let v = 45 - 46. Let s(f) = v*h(f) - 2*y(f). Factor s(q).
4*(q - 11)**2
Let j(v) = 2*v**2 + 16*v + 9. Let l be j(-6). Let n be (15/(-6) + 0)*18/l. Factor -2/7 + 6/7*q - 6/7*q**2 + 2/7*q**n.
2*(q - 1)**3/7
Let k be (-2)/((-7)/((-105)/(-10))). Suppose k*l - 12 + 0 = 0. Factor -27*m**3 + 4 + 20*m**2 + 19*m**3 - 18*m + 16*m**3 - 3*m**4 + 10*m**5 - 21*m**l.
2*(m - 1)**3*(m + 1)*(5*m - 2)
Suppose -53*a = -62*a + 45. Let l(c) be the first derivative of 8*c**3 + a*c**4 + 2*c + 6*c**2 - 13 + 6/5*c**5. Factor l(s).
2*(s + 1)**3*(3*s + 1)
Suppose 53*l + 246 - 352 = 0. Factor 4/3*p - 1/3 - p**l.
-(p - 1)*(3*p - 1)/3
Let f = -16749/520 + 161/5. Let m = 155/104 - f. Factor 1/2*x**2 + m + 2*x.
(x + 1)*(x + 3)/2
Suppose 0 = 5*g - 5*g + 4*g. Let n be 1/(-21)*3 + (-15)/(-7). Let -60/7*m**4 - 12/7*m**3 + 0*m - 75/7*m**5 + 0 + g*m**n = 0. What is m?
-2/5, 0
Let m(u) be the second derivative of -2*u**6/75 + 3*u**5/50 - u**4/30 + 49*u. What is s in m(s) = 0?
0, 1/2, 1
Factor 0*b - 7/8*b**3 + 0 - 9/4*b**2 + 1/8*b**4.
b**2*(b - 9)*(b + 2)/8
Let a(h) be the third derivative of h**8/2016 - h**7/630 - h**6/240 + h**5/90 + h**4/36 + 53*h**2. Suppose a(o) = 0. What is o?
-1, 0, 2
Let u be (-2)/(-7) - (4 - (-188)/(-28)). Suppose -u*l = 2*v + 4, 0*v = 2*v + 10. Solve -1/4 - 3/4*g**l + 1/4*g**3 + 3/4*g = 0 for g.
1
Let d = 1/15 + 8/15. Let f be 10/6 + (-5)/(-15). Find l such that -d*l**3 - 3/5*l + 6/5*l**f + 0 = 0.
0, 1
Let b(w) be the second derivative of w**6/10 - 21*w**5/20 - 13*w**4 - 46*w**3 - 72*w**2 - 273*w. Solve b(a) = 0 for a.
-2, -1, 12
Let n(p) be the third derivative of p**8/2016 - p**7/315 - p**6/240 + p**5/36 + p**4/18 - 4*p**2 + 2*p. Suppose n(f) = 0. Calculate f.
-1, 0, 2, 4
Let s(u) be the third derivative of 7*u**7/195 + 623*u**6/390 + 2519*u**5/130 - 89*u**4/3 + 52*u**3/3 - 40*u**2. Factor s(y).
2*(y + 13)**2*(7*y - 2)**2/13
Let m be 66/4 - (340 - 324). Factor m*q**5 - q + 1/2*q**3 + 0 + 3/2*q**4 - 3/2*q**2.
q*(q - 1)*(q + 1)**2*(q + 2)/2
Suppose 14/11*l**4 + 80/11*l**3 + 0 - 32/11*l + 8*l**2 = 0. Calculate l.
-4, -2, 0, 2/7
Let n(a) be t