the second derivative of 2/15*z**5 + 0*z**4 - 20*z + 0*z**2 + 0 + 1/18*z**7 + 0*z**3 - 1/3*z**6. Factor b(q).
q**3*(q - 4)*(7*q - 2)/3
Let j(g) be the first derivative of -3*g**4 - 52*g**3/3 + 64*g**2 + 48*g - 242. Factor j(f).
-4*(f - 2)*(f + 6)*(3*f + 1)
Let c(k) = k**2 + k - 2. Let z(n) = 3*n**2 + 4*n - 5. Let h(i) = -11*c(i) + 4*z(i). Let q be h(-5). Factor 10*f**2 - 20*f**2 + 7*f**q - 9*f.
-3*f*(f + 3)
Let z(y) = y**2 - y - 1. Suppose -3*p + 20 = 2*p, 2*h + 5*p = -28. Let u(w) = -7*w**2 + 5*w + 10. Let f(r) = h*z(r) - 3*u(r). Solve f(g) = 0.
1, 2
Factor -10/17*t**2 + 22/17*t**3 + 2/17*t**5 - 14/17*t**4 + 0 + 0*t.
2*t**2*(t - 5)*(t - 1)**2/17
Let b(r) be the third derivative of -2*r**7/455 + 29*r**6/780 - 3*r**5/65 - 3*r**4/52 + 4*r**3/39 + 24*r**2 + 4*r. Solve b(q) = 0.
-1/2, 1/3, 1, 4
Let q(d) be the third derivative of d**5/180 - d**4/12 + 5*d**3/18 + 15*d**2. Factor q(s).
(s - 5)*(s - 1)/3
Let b be 3127/530 + (-16)/(-10). Factor 0 + 3/2*a**5 - 3*a - 3/2*a**4 + b*a**2 - 9/2*a**3.
3*a*(a - 1)**3*(a + 2)/2
Let s = 268 + -266. Let u(k) be the third derivative of 0*k**3 + 0 + 0*k - 4*k**s - 1/90*k**5 + 0*k**4. Factor u(g).
-2*g**2/3
Suppose -6*x + 92 = -7*x. Let z = -88 - x. Factor 4/3*j**2 - 2/3 - 2/3*j**z + 0*j**3 + 0*j.
-2*(j - 1)**2*(j + 1)**2/3
Let l(x) be the second derivative of 1/105*x**6 + 1/70*x**5 - 4/21*x**3 - 21*x - 2/21*x**4 + 0 + 0*x**2. Factor l(d).
2*d*(d - 2)*(d + 1)*(d + 2)/7
Let o(w) be the first derivative of 1/2*w**2 + 1 + 1/3*w**3 + 0*w. Let o(l) = 0. Calculate l.
-1, 0
Let q = -2697 + 10793/4. Determine c so that -5/4*c**4 + 0 + 5*c**3 + q*c**2 + 0*c - 5*c**5 = 0.
-1, -1/4, 0, 1
Factor 26/3*w + 14/3*w**3 + 10*w**2 + 8/3 + 2/3*w**4.
2*(w + 1)**3*(w + 4)/3
Let v(p) = -p**3 + p**2 + 3*p - 3. Let c be v(-2). Let j be 31/9 + (c - 40/12). Solve 76/9*g**3 - 32/9*g**2 - j*g**4 + 0 - 16/9*g = 0 for g.
-2/7, 0, 1, 2
Suppose -3*a + 4 + 0 = -2*m, 3*a = -5*m + 32. Let u be a - ((-20)/(-90) + (-2)/9). Factor 0*x + 0 - 1/5*x**2 - 2/5*x**3 - 1/5*x**u.
-x**2*(x + 1)**2/5
Let h(p) be the second derivative of p**7/7560 - p**6/270 + 2*p**5/45 - 8*p**4/27 + 14*p**3/3 - 20*p. Let g(v) be the second derivative of h(v). Factor g(d).
(d - 4)**3/9
Find z, given that 20/3*z**2 + 158/9*z**3 + 20/9*z**4 + 0*z + 0 = 0.
-15/2, -2/5, 0
Let s(b) be the first derivative of -1/4*b**4 + 0*b**2 + 10 + 8*b - b**3 + 3/20*b**5. Let z(g) be the first derivative of s(g). Factor z(p).
3*p*(p - 2)*(p + 1)
Let y be 0/(-57) - (1 - (-2 + 3)). Determine p, given that y*p - 5/7*p**3 + 2/7*p**4 + 2/7*p**2 + 0 = 0.
0, 1/2, 2
Let f be -8 - 5*(15/(-5))/(-30)*-20. Factor 16/9*n**3 - 14/9*n**f + 4/9*n - 2/3*n**4 + 0.
-2*n*(n - 1)**2*(3*n - 2)/9
Let f be 65/21 + ((4 - -3)/7)/3. Factor -f*x - 12/7*x**2 - 16/7 - 2/7*x**3.
-2*(x + 2)**3/7
Let r be (20/75*(-36)/(-192))/3. Let q(m) be the third derivative of -r*m**5 - 2*m**2 + 1/6*m**4 + 0 + 0*m - 2/3*m**3. Factor q(v).
-(v - 2)**2
Let d(i) be the third derivative of -9*i**6/8 - i**5/6 + 47*i**2 - 4. Factor d(b).
-5*b**2*(27*b + 2)
Let l be 4/(-7)*(2 + -9) - 2. Let i(f) be the second derivative of 1/20*f**5 - f**l + 1/6*f**4 + 6*f - 1/6*f**3 + 0. Determine p so that i(p) = 0.
-2, -1, 1
Factor -7103 + 7103 - 16*y - 116*y**2.
-4*y*(29*y + 4)
Let y(w) be the first derivative of w**6/33 - 16*w**5/55 - 9*w**4/22 - 415. Let y(m) = 0. What is m?
-1, 0, 9
Let d be -12*(-6)/12 - (0 + 1). Let c(j) = 2*j**2 - 14*j + 22. Let v be c(d). Determine t, given that 3/2*t**v - 3/4*t + 3/4*t**3 - 3/2 = 0.
-2, -1, 1
Let m(n) be the first derivative of 6*n + 7*n**3 + 27/2*n**2 - 2. Factor m(h).
3*(h + 1)*(7*h + 2)
Let t(z) be the third derivative of z**7/420 + z**6/60 + z**5/60 - z**4/12 - z**3/4 + 4*z**2 - 25*z. Factor t(u).
(u - 1)*(u + 1)**2*(u + 3)/2
Suppose u - h = 7, -3*u + h + 18 = 7. Let a be u/3 - 124/(-30). Determine w so that 2*w**3 - 18/5*w**5 + 8/5*w - 24/5*w**4 + 0 + a*w**2 = 0.
-1, -2/3, 0, 1
Suppose -5*w + 2*h = -14 - 4, -4*h - 26 = -5*w. Factor 8*i - 3 + 6 + 1 + 4*i**w.
4*(i + 1)**2
Let n(d) be the first derivative of -32 - 2/3*d + 2/9*d**3 - 1/9*d**2 + 1/18*d**4. Factor n(k).
2*(k - 1)*(k + 1)*(k + 3)/9
Suppose 6*a = a + 10. Suppose 13*v = 8*v + 10. Factor 0*b - 6*b + 65*b**a - 63*b**v.
2*b*(b - 3)
Let f(v) = -2 - 2 + 2*v**3 - v**3 + 5. Let r(i) = -2 - 9*i**3 - 1 - 2 - 12*i**2 - 8*i. Let w(s) = 5*f(s) + r(s). Find l such that w(l) = 0.
-2, -1, 0
Let d(x) be the third derivative of -x**8/112 - 2*x**7/35 + x**6/20 + 2*x**5/5 - x**4/8 - 2*x**3 + 163*x**2. Determine a, given that d(a) = 0.
-4, -1, 1
Suppose 780 = 621*w - 426*w. Factor 2304/5*a**2 + 144/5*a**3 + 12288/5*a + 0 + 3/5*a**w.
3*a*(a + 16)**3/5
Determine y, given that -30*y**3 - 25*y**5 + 61*y**2 - 85*y**4 + 49*y**2 - 10*y**2 + 40*y = 0.
-2, -2/5, 0, 1
Let j(d) = -d**3 + 7*d**2 - 6*d - 26. Let o(s) = s**3 - 4*s**2 + 3*s + 12. Let p(y) = 6*j(y) + 13*o(y). Let p(b) = 0. Calculate b.
0, 3/7, 1
Let q(h) = h - 1. Let b(f) be the third derivative of -f**5/20 + f**4/8 - f**3/2 + 54*f**2. Let c(i) = -b(i) + 3*q(i). Factor c(a).
3*a**2
Let h(s) be the third derivative of s**6/540 - s**5/90 - s**4/6 + 40*s**3/27 + 187*s**2. Factor h(b).
2*(b - 5)*(b - 2)*(b + 4)/9
Let f(a) be the third derivative of 1/35*a**6 + 1/588*a**8 - 14*a**2 + 1/42*a**4 + 0*a**3 + 4/105*a**5 + 8/735*a**7 + 0 + 0*a. Let f(y) = 0. Calculate y.
-1, 0
Let f(i) be the third derivative of -i**5/90 + 5*i**4/9 + 44*i**3/9 + i**2 - 69*i. Factor f(x).
-2*(x - 22)*(x + 2)/3
Let d = 421 - 419. Determine c, given that -12/5*c - 7/5*c**d + 4/5 = 0.
-2, 2/7
Let q = 2017/7084 - -1/1012. Let y(w) be the first derivative of q*w**2 + 2/7*w + 2/21*w**3 + 4. What is u in y(u) = 0?
-1
Let a be 16 - (-2 - (3 - 3)). Let l = a + -14. Factor 4 + 7*t + t**l - 2*t**2 + 22*t**3 + 5*t**4 + 11*t + 32*t**2.
2*(t + 1)**3*(3*t + 2)
Let w be ((-2)/6)/((-1)/9). Let s(i) = -3*i**2 - 12*i - 3. Let x(b) = 23*b + 0 + 21 + 6*b**2 - 14. Let l(z) = w*x(z) + 5*s(z). Solve l(q) = 0.
-2, -1
Let k = 18076/9 + -2008. Factor k*h**2 - 16/9 - 4/3*h.
4*(h - 4)*(h + 1)/9
Let q(j) be the second derivative of 6*j**2 + 3/20*j**5 - 3/4*j**4 + 0 + 0*j**3 + 15*j. Find h, given that q(h) = 0.
-1, 2
Let p be 4 + 4 + (8 - ((-3924)/21)/(-12)). Factor 9/7*t**4 + 0*t**2 + 0*t**3 + 0*t + p*t**5 + 0.
3*t**4*(t + 3)/7
Let x = -211 + 206. Let c(v) = -v**2 - 2*v + 1. Let g(o) = 3*o**2 + 5*o - 3. Suppose 0 = -2*i - 7 + 3. Let r(l) = i*g(l) + x*c(l). Factor r(h).
-(h - 1)*(h + 1)
Let d(v) = -2*v**2 - 8*v - 148. Let b be d(-10). Let m = -268 - b. Solve 8/3*c**2 + 44/15*c**4 - 22/5*c**3 + m - 2/3*c**5 - 8/15*c = 0.
0, 2/5, 1, 2
Let a = -18823 - -56471/3. Factor 2*t**4 + a*t**2 - 8/3*t**3 + 0*t + 0.
2*t**2*(t - 1)*(3*t - 1)/3
Let z = 1005/2 + -502. What is h in 0*h + 0 + z*h**2 = 0?
0
Suppose 0 = 10*o - 14*o. Suppose o = 5*y + y - 36. Let -8*p - 8 - 61*p**3 + 65*p**3 - 2*p**4 + 0 + y*p**2 = 0. What is p?
-1, 2
Let t(u) = 7*u**4 + u**3 - 18*u**2 + 31*u - 5. Let w(v) = v**4 + v**3 - v - 1. Let c(g) = -t(g) + 5*w(g). Let c(i) = 0. Calculate i.
-3, 0, 2, 3
Factor 1/2*w**4 + 1/2*w**3 + 0 - 1/2*w**2 - 1/2*w.
w*(w - 1)*(w + 1)**2/2
Let o(c) = 3*c + 234. Let a be o(0). Factor -a*d**3 - 3*d**2 + 231*d**3 + 5*d**2 + d**5.
d**2*(d - 1)**2*(d + 2)
Let t be ((2/(-3))/((-19)/57))/1. Let s(m) be the second derivative of 0 - 2/3*m**2 - 1/3*m**3 - t*m - 1/18*m**4. Let s(h) = 0. Calculate h.
-2, -1
Let i(j) = 15*j - 46. Let u be i(11). Let q be ((-255)/u)/((-4)/14 - 0). Determine v so that 27/2*v + 0 - q*v**3 + 9/2*v**2 + 3/2*v**4 = 0.
-1, 0, 3
Let m(t) be the second derivative of -t**4/12 + t**3 + 7*t**2/2 + t + 7. Factor m(i).
-(i - 7)*(i + 1)
Suppose -2*y + 0*y - k + 22 = 0, -2*y + 2*k = -10. Suppose -4*c + 21 = y. Find w such that 45/4*w**c - 75/4*w**2 + 27/4*w**5 - 18*w + 87/4*w**4 - 3 = 0.
-2, -1, -2/9, 1
Factor 96*c + 0 + 122/3*c**3 - 14/3*c**4 - 112*c**2 + 1/6*c**5.
c*(c - 12)**2*(c - 2)**2/6
Let a(o) be the third derivative of 1/12*o**3 + 0*o + 1/480*o**6 - 1/96*o**4 - 1/120*o**5 + 0 + 3*o**2. Factor a(i).
(i - 2)*(i - 1)*(i + 1)/4
Let n(c) be the first derivative of -7/2*c**3 - 15/8*c**4 - 9/4*c**2 - 3/10*c**5 + 0*c - 16. Factor n(z).
-3*z*(z + 1)**2*(z + 3)/2
Let k be (5 + -14 + 15)/((-17)/(255/(-20))). Factor -3/2*m**3 - k*m**2 + 27/2*m - 15/2.
-3*(m - 1)**2*(m + 5)/2
Let u be (412/(-1