(g) be the third derivative of 1/2*g**3 + 1/48*g**6 - 14*g**2 + 7/48*g**4 + 0 + 0*g - 3/20*g**5. Solve s(i) = 0 for i.
-2/5, 1, 3
Suppose 0 = 12*j - 10 - 14. Let i(h) be the second derivative of -2/5*h**3 + 0 - 4/5*h**j - 1/100*h**5 - 4*h - 1/10*h**4. Factor i(r).
-(r + 2)**3/5
Let n = -4049 - -28358/7. Factor -6/7 - 3/7*g**4 - n*g**3 - 3*g - 27/7*g**2.
-3*(g + 1)**3*(g + 2)/7
Let c = -1 - -5. Let k(u) = -u**2 + 7*u - 10. Let q be k(c). Factor -3*m**3 + 5*m**5 - 2*m**2 + 8*m**2 + 6*m**2 - 7*m**4 - q*m - 5*m**2.
m*(m - 1)**2*(m + 1)*(5*m - 2)
Let m(b) be the second derivative of 5*b**8/1008 - b**6/36 + 5*b**4/72 - 3*b**2 + 5*b. Let u(d) be the first derivative of m(d). Factor u(j).
5*j*(j - 1)**2*(j + 1)**2/3
Suppose 2*s = -3*v + 2, -4 = 4*v - 2*s - 2. Let q be ((-6)/15 - v)*(-10)/8. Determine d, given that 1/4*d**2 + 1/4*d**4 - q*d**3 + 0*d + 0 = 0.
0, 1
Let x(d) be the third derivative of 0*d - 1/30*d**6 - 1/10*d**5 + 15*d**2 + 1/105*d**7 + 1/3*d**4 + 0 + 4/3*d**3. Factor x(a).
2*(a - 2)**2*(a + 1)**2
Factor 0*a - 8/3*a**3 + 0 + 1/3*a**4 - 20/3*a**2.
a**2*(a - 10)*(a + 2)/3
Suppose -1 + 9 = 4*s. Factor s*d - 3*d**2 + 0*d**2 + 2*d**2 + 2*d**2.
d*(d + 2)
What is v in 10 + 84*v**3 + 214*v**5 + 135*v + 31*v**3 + 390*v**5 - 1320*v**4 - 44*v**5 + 500*v**2 = 0?
-1/4, -1/7, 1, 2
Suppose 56 = -4*g + 4*s, 5*g - 4*s + 42 = -31. Let w = -17 - g. Factor -1/3*o + w + 1/3*o**3 + 0*o**2.
o*(o - 1)*(o + 1)/3
Factor -240*u - 15*u**2 - 19*u**2 + 259 - 16*u**2 - 7*u**2 + 41 - 3*u**3.
-3*(u - 1)*(u + 10)**2
Determine s so that -21/4*s - 3/4*s**2 - 9/2 = 0.
-6, -1
Suppose -p - 3*p = 0. Suppose -5*u + 10 = -p*u. Solve -9*n**4 + 48*n + n**4 - 52*n**u + 4*n**4 - 16 + 24*n**3 = 0.
1, 2
Let j(z) be the first derivative of -5*z**3/3 + 2*z**2 + z + 1. Let b(i) = -12 + 7 + i + 5 - i**2. Let c(g) = -6*b(g) + j(g). Factor c(q).
(q - 1)**2
Factor 1/2*q**3 + q**2 - 3/2*q + 0.
q*(q - 1)*(q + 3)/2
Let b = 110 + -102. Let j(s) be the second derivative of 27/4*s**2 + 0 + 1/8*s**4 - b*s - 3/2*s**3. Factor j(k).
3*(k - 3)**2/2
Let z = -4/803 - -1626/4015. Solve 34/5*v**3 - 6*v**5 + z*v**2 - 4/5*v + 0 - 2/5*v**4 = 0.
-1, -2/5, 0, 1/3, 1
Let s(v) = 30*v - 100. Let d be s(5). Let w be 3 - (-2 - (-5)/(d/46)). Factor w - 16/5*y + 32/5*y**2.
2*(4*y - 1)**2/5
Let m(l) be the first derivative of -20 - 3/16*l**4 - 3*l + 0*l**2 + 3/4*l**3. Solve m(q) = 0 for q.
-1, 2
What is j in -6*j**3 + 51/4*j**2 - 15/2*j + 0 + 3/4*j**4 = 0?
0, 1, 2, 5
Let c = 1451 + -13057/9. Let -2/9*o + 0 - c*o**3 - 4/9*o**2 = 0. What is o?
-1, 0
Let y(b) be the first derivative of 1/9*b**2 + 1/6*b**4 - 22 + 0*b - 2/9*b**3 - 2/45*b**5. Suppose y(s) = 0. Calculate s.
0, 1
Factor 88/15*b + 16/15*b**3 + 14/3*b**2 + 8/5.
2*(b + 2)**2*(8*b + 3)/15
Let m be -1 - (-38)/8 - 48/64. Let -6*s**2 + 68*s**4 + 72*s**m + 20*s**5 + 11*s**2 + 11*s**2 - 8*s**3 = 0. What is s?
-2, -1, -2/5, 0
Solve 2/11*w + 0 + 78/11*w**2 = 0 for w.
-1/39, 0
Let i(g) be the second derivative of -g**5/60 + 2*g**3/9 + 116*g + 1. Suppose i(k) = 0. Calculate k.
-2, 0, 2
Factor -1345*l + 28 - 30*l**2 + 1110*l + 20 - 8.
-5*(l + 8)*(6*l - 1)
Factor 2/3*o**5 - 160/3*o**2 + 80/3*o**3 - 64/3 + 160/3*o - 20/3*o**4.
2*(o - 2)**5/3
Let o(s) = 3*s**3 + 254*s**2 - 346*s - 170. Let l be o(-86). What is q in 1/2*q**2 + l*q - 5/2 = 0?
-5, 1
Let p(g) = -g**2 - 11*g - 10. Let r be p(-7). Factor -86*b + 32*b**5 + 88*b - 2*b**2 - 80*b**4 - r*b**2 + 12*b**3 + 54*b**3.
2*b*(b - 1)**2*(4*b - 1)**2
Let m(s) be the third derivative of s**8/20160 + s**7/7560 - s**6/1080 + 5*s**4/12 + 3*s**2. Let v(y) be the second derivative of m(y). Factor v(h).
h*(h - 1)*(h + 2)/3
Let -13/2*y + 0*y**4 + 6 - 6*y**2 - 1/2*y**5 + 7*y**3 = 0. What is y?
-4, -1, 1, 3
Let r(z) be the first derivative of -z**6/24 + 2*z**5/5 - 21*z**4/16 + 3*z**3/2 + 291. Factor r(i).
-i**2*(i - 3)**2*(i - 2)/4
Let h be (-1)/3 + -1 + 2. Let a = -2713 + 2715. Factor -a*f - h*f**2 - 4/3.
-2*(f + 1)*(f + 2)/3
Let l(p) be the first derivative of -p**4/3 - 2*p**3/3 - 44*p - 35. Let m(u) be the first derivative of l(u). Factor m(d).
-4*d*(d + 1)
Suppose -2*w = -w - 2. Let k = -2/5795 - -23194/40565. Suppose 0*f - k*f**w + 4/7 = 0. Calculate f.
-1, 1
Suppose -2 = -g + 15*w - 13*w, w + 1 = 2*g. Find k such that 35/2*k**3 + g - 5/2*k**4 + 30*k - 40*k**2 = 0.
0, 2, 3
Let g(k) be the third derivative of -k**5/40 + 17*k**4/16 - 4*k**3 - 109*k**2. Solve g(i) = 0.
1, 16
Let c(q) be the third derivative of q**6/300 - 7*q**5/150 - 17*q**4/60 - 3*q**3/5 - 45*q**2. Suppose c(t) = 0. Calculate t.
-1, 9
Let m be 7/3 + 89/(-267). Factor 1/2*j**m + 1/4*j**3 + 0 + 0*j.
j**2*(j + 2)/4
Let t(i) = 18*i - 11. Let c be t(1). Suppose 0 = c*f + 3*f. Factor -8/5*r**4 + 0*r**3 + f*r**2 + 0*r + 2/5*r**5 + 0.
2*r**4*(r - 4)/5
Suppose 4*l + 6*l = 40. Let n(j) be the second derivative of 3*j**2 - l*j - 1/2*j**4 + 0 + 3/2*j**3 + 0*j**6 + 1/14*j**7 - 3/5*j**5. Factor n(d).
3*(d - 2)*(d - 1)*(d + 1)**3
Let x(j) be the second derivative of 5/66*j**4 + 0 + 8/33*j**3 + 1/110*j**5 + 17*j + 4/11*j**2. Factor x(m).
2*(m + 1)*(m + 2)**2/11
Let s(b) be the first derivative of b**6/9 + 118*b**5/15 + 899*b**4/6 + 1682*b**3/9 - 101. Suppose s(c) = 0. Calculate c.
-29, -1, 0
Let w(n) be the second derivative of -n**7/378 + n**5/60 + n**4/54 - 80*n. Factor w(s).
-s**2*(s - 2)*(s + 1)**2/9
Let o(y) be the second derivative of -y**8/2240 + y**7/280 - y**5/10 - 3*y**4 - 2*y. Let u(x) be the third derivative of o(x). Factor u(s).
-3*(s - 2)**2*(s + 1)
Suppose 5*n - 2*j - 37 = 0, -4*j + 0*j = 2*n - 34. Factor -l - 17*l**3 - n*l**2 - l + 10*l**3.
-l*(l + 1)*(7*l + 2)
Let q(f) be the second derivative of -f**7/30 + 23*f**6/120 - f**5/3 + f**4/6 + 25*f**2/2 - 6*f. Let v(s) be the first derivative of q(s). Factor v(y).
-y*(y - 2)*(y - 1)*(7*y - 2)
Let p(m) be the second derivative of m**8/1176 + 2*m**7/735 - m**5/105 - m**4/84 - 2*m**2 + 6*m. Let f(x) be the first derivative of p(x). Factor f(h).
2*h*(h - 1)*(h + 1)**3/7
Let y = -30 + 30. Let u(g) be the third derivative of 0*g**3 + 3*g**2 + y + 0*g**4 - 1/180*g**5 - 1/360*g**6 + 0*g. Factor u(s).
-s**2*(s + 1)/3
Let f(q) be the first derivative of 5*q**3/9 - 65*q**2/3 - 45*q + 43. Suppose f(u) = 0. What is u?
-1, 27
Let a(o) = 2*o**3 + 9*o**2 + 3*o + 5. Let s(t) = t**3 + 4*t**2 + t + 2. Let j(v) = -4*a(v) + 9*s(v). Factor j(x).
(x - 2)*(x + 1)**2
Suppose -3*t + 3 = 5*n, 0 = -3*t + 4 - 1. Let u be (-1)/((4 + n)*6/(-12)). Determine x so that -1/2*x**2 + 1/2*x + 1/2 - u*x**3 = 0.
-1, 1
Let v = -3851593/13428 + -5/13428. Let o = v + 287. Factor o*d**2 + 1/6 + 1/3*d.
(d + 1)**2/6
Let u(q) be the first derivative of -3*q**7/175 - q**6/20 - 7*q**5/150 - q**4/60 - 15*q**2 - 36. Let w(v) be the second derivative of u(v). Factor w(l).
-2*l*(l + 1)*(3*l + 1)**2/5
Let s(z) be the first derivative of z**6/1260 - z**5/84 + z**4/21 - 13*z**3/3 + 2. Let o(i) be the third derivative of s(i). Factor o(a).
2*(a - 4)*(a - 1)/7
Factor -2/5*h**4 - 18*h**2 + 0 + 32/5*h**3 - 324/5*h.
-2*h*(h - 9)**2*(h + 2)/5
Factor -12/7*x - 18/7 + 2/7*x**4 + 16/7*x**2 + 12/7*x**3.
2*(x - 1)*(x + 1)*(x + 3)**2/7
Let y(c) be the second derivative of -c**4/36 + 13*c**3/18 - 11*c**2/3 + 36*c. Factor y(a).
-(a - 11)*(a - 2)/3
Let g(b) = -71*b**4 + 68*b**3 - 12*b**2 + 4*b. Let d(r) = -567*r**4 + 546*r**3 - 96*r**2 + 33*r. Let q(y) = -4*d(y) + 33*g(y). Let q(h) = 0. Calculate h.
0, 2/5
Let j(n) be the third derivative of 1/6*n**4 + 52*n**2 - 1/672*n**8 - 1/120*n**5 + 0*n - 7/240*n**6 - 1/3*n**3 + 0 + 1/84*n**7. Suppose j(u) = 0. What is u?
-1, 1, 2
Suppose 0 = -6*k + 7 + 11. Suppose k*n + 8 = 7*n, 4*s - 36 = -2*n. Solve -8*m**2 + 16*m + 5*m**3 - s*m**2 - m**3 = 0 for m.
0, 2
Suppose u + 5 = 2*u. Let z(i) = 5*i**2 - 16*i - 13. Let a(m) = -16*m**2 + 48*m + 38. Let t(k) = u*a(k) + 14*z(k). Find n such that t(n) = 0.
-2/5, 2
Let x(l) = -2*l - 28. Let u be x(-14). Suppose u*h + h = 2*y + 1, 3*y - 16 = -2*h. Factor 1/4*j**y + 0 + j.
j*(j + 4)/4
Let v = -165 - -167. Let h(r) be the third derivative of -1/12*r**4 + 0*r - 5*r**v + 0 + 1/90*r**5 + 2/9*r**3. Factor h(a).
2*(a - 2)*(a - 1)/3
Solve -7/2*n**4 + 4*n + 37/2*n**3 + 0 - 19*n**2 = 0 for n.
0, 2/7, 1, 4
Let l(q) be the first derivative of 3/5*q**3 + 29 - 9/10*q**2 + 3/5*q - 3/20*q**4. Factor l(d).
-3*(d - 1)**3/5
Let n = 2