the second derivative of g**6/150 - g**5/5 + 67*g**4/30 - 34*g**3/3 + 45*g**2/2 + 667*g. Factor v(f).
(f - 9)*(f - 5)**2*(f - 1)/5
Let w = 3573 + -3571. Factor -8/3*a**3 - 4/3*a - 10/3*a**w - 2/3*a**4 + 0.
-2*a*(a + 1)**2*(a + 2)/3
Let d be ((-2)/(-14))/((-18)/(-4) + -4). Let f be 2/8*-2*-4. Factor d*k**f + 2/7 + 4/7*k.
2*(k + 1)**2/7
Let s = -6813/2 + 3409. Determine z so that s*z**2 - 5/2*z**3 + 5/2*z - 5/2 = 0.
-1, 1
Let h(o) = -332*o**3 + 4380*o**2 - 1888*o + 208. Let g(p) = p**3 - 3*p**2. Let q(t) = -8*g(t) - h(t). Factor q(c).
4*(c - 13)*(9*c - 2)**2
Suppose -25 = -5*r - 2*l, 2*r + 11*l + 11 = 6*l. Suppose 75 = -r*n + 82. Factor -3/2*q**3 + n + 5*q**2 - 9/2*q.
-(q - 2)*(q - 1)*(3*q - 1)/2
Let x(m) be the third derivative of -m**5/12 + 5*m**4/24 + m**2 - 13. Factor x(s).
-5*s*(s - 1)
Let t = -4/75 - -17/1725. Let a = t + 28/115. Factor -1/5*g**2 + a + 0*g.
-(g - 1)*(g + 1)/5
Factor -2/3*k**2 - 4/3 - 2*k.
-2*(k + 1)*(k + 2)/3
Let l be (216/(-198) - -1) + (-1134)/(-858). Solve -l + 90/13*n**3 + 152/13*n + 162/13*n**4 - 388/13*n**2 = 0 for n.
-2, 2/9, 1
Let -1/5*o**4 + 2/5*o**3 - 8/5*o + 0 + 4/5*o**2 = 0. What is o?
-2, 0, 2
Factor -69*g**2 - 34*g**3 + 4*g**4 + 10*g**3 + 171*g**2 + 12 - 54*g**2 - 40*g.
4*(g - 3)*(g - 1)**3
Let z(g) be the first derivative of 2*g**5/35 + 3*g**4/7 - 2*g**3/3 - 362. Factor z(y).
2*y**2*(y - 1)*(y + 7)/7
Let k(i) be the second derivative of 2*i**7/21 - 2*i**5/5 + 2*i**3/3 + 665*i + 1. Factor k(t).
4*t*(t - 1)**2*(t + 1)**2
Let q be ((-30)/(-12))/((-3)/(-2) + -1). Let s(z) = -3*z + 15. Let c be s(q). Factor 2/11*k**2 + 2/11*k + c.
2*k*(k + 1)/11
Suppose 0 = -i + 4*i - 15, 0 = -b + 5*i - 23. Let v(x) be the first derivative of 4/33*x**3 - 1/22*x**4 + 0*x**b - 3 + 0*x. Determine f so that v(f) = 0.
0, 2
Let x(g) be the second derivative of -g**5/5 + 19*g**4/12 + 5*g**3/6 + 202*g. Factor x(d).
-d*(d - 5)*(4*d + 1)
Suppose 1 = -5*q + 21. Let -q*z**4 - 5*z**5 - 18*z**3 - 13*z**4 + 9*z**3 - 4*z**2 - 7*z**3 = 0. Calculate z.
-2, -1, -2/5, 0
Factor 0*r + 3/4*r**3 + 9/4*r**2 + 0.
3*r**2*(r + 3)/4
Let z(a) = -a**2 - 10*a - 21. Let s be z(-6). Let y be s/((-15)/(-35)) + -1. Let -2*j**2 + 5*j**2 - 9 - y*j - 4*j**2 + 0 = 0. What is j?
-3
Let s(x) be the third derivative of -1/15*x**5 + 0*x - 5*x**2 - 4/3*x**3 + 1/2*x**4 + 0. What is z in s(z) = 0?
1, 2
Let d(i) be the first derivative of -1/4*i**4 + 0*i**2 + 0*i + 16 + 2/3*i**3. Factor d(u).
-u**2*(u - 2)
Let n(r) = 210*r - 1050. Let a be n(5). Factor 0 + a*q + 1/6*q**2 - 1/6*q**4 - 1/6*q**5 + 1/6*q**3.
-q**2*(q - 1)*(q + 1)**2/6
Suppose -1542*a**3 + 13*a**2 - 8 + 103*a**2 - 40 + 1574*a**3 + 80*a = 0. What is a?
-2, 3/8
Let z(s) be the first derivative of s**5/30 - 2*s**4/3 - 19*s**3/18 + 17*s**2/6 + 542. What is j in z(j) = 0?
-2, 0, 1, 17
Let k be (-6)/20 - 576/(-1920). Let b(g) be the second derivative of 5*g + 2*g**2 + k - 1/10*g**5 + 1/3*g**3 - 1/3*g**4. What is q in b(q) = 0?
-2, -1, 1
Solve 4*s**4 + 4*s**4 - 306*s**5 - 4*s**4 + 310*s**5 = 0 for s.
-1, 0
Let r(b) = 122*b - 1583. Let x be r(13). What is y in -12*y**3 + x*y**2 - 12/5 + 12/5*y**5 + 48/5*y - 3/5*y**4 = 0?
-2, -1, 1/4, 1, 2
Let v(f) be the first derivative of -f**4/60 + f**3/15 + 3*f**2/10 + 13*f - 13. Let w(m) be the first derivative of v(m). Factor w(s).
-(s - 3)*(s + 1)/5
Factor 2*u + 2/3*u**3 - 2/3 - 2*u**2.
2*(u - 1)**3/3
Let j(p) be the first derivative of 1 + 2/3*p**3 + 1/2*p**4 + 3*p + 1/30*p**6 + 1/2*p**2 + 1/5*p**5. Let g(s) be the first derivative of j(s). Solve g(v) = 0.
-1
Let o = -10057/5 - -2012. Find t such that 0 + o*t**2 - 2/5*t - 1/5*t**3 = 0.
0, 1, 2
Let p(b) be the first derivative of -12 + 10/27*b**3 + 8/9*b**2 + 1/18*b**4 + 8/9*b. Suppose p(g) = 0. What is g?
-2, -1
Let l(t) = -2*t**2 - 86*t - 2. Let h(d) = -6*d**2 - 174*d - 5. Let z(v) = -2*h(v) + 5*l(v). Let z(f) = 0. Calculate f.
0, 41
Let t(c) be the first derivative of -c**6/4 + 39*c**5/10 - 87*c**4/4 + 53*c**3 - 255*c**2/4 + 75*c/2 - 509. Solve t(s) = 0 for s.
1, 5
Let r = 371/789 + -36/263. Factor 2/3 - r*a**2 + 1/3*a.
-(a - 2)*(a + 1)/3
Let r be -4 - (1862/(-245) - (-3)/(30/(-4))). Factor -3/7*o**r - 138/7*o**2 - 36/7*o**3 - 75/7 - 180/7*o.
-3*(o + 1)**2*(o + 5)**2/7
Let a(v) be the third derivative of 0 + 54*v**2 - 1/3*v**3 + 1/12*v**4 + 0*v + 1/30*v**5 - 1/60*v**6. Suppose a(g) = 0. What is g?
-1, 1
Let o(a) be the first derivative of 6 + 0*a + 1/3*a**3 + 1/80*a**5 + a**2 - 7/48*a**4. Let x(i) be the second derivative of o(i). Let x(v) = 0. Calculate v.
2/3, 4
Suppose -8 = -w - 6. Factor 1/3 + l**w + 1/3*l**3 + l.
(l + 1)**3/3
Let r(o) be the third derivative of o**6/900 + o**5/75 + o**4/20 + 4*o**3/45 + 31*o**2 - 3. Factor r(v).
2*(v + 1)**2*(v + 4)/15
Let c(m) be the second derivative of 1/2*m**4 + 9/2*m**2 + 1/15*m**5 - m + 0*m**3 + 0. Let z(h) be the first derivative of c(h). Factor z(t).
4*t*(t + 3)
Factor -3*l**2 + 0*l**2 + l**2 - l**2 - 144 + 20*l + 7*l**2.
4*(l - 4)*(l + 9)
Let a(b) = -289*b - 2023. Let w be a(-7). Factor 0 + w*s - 3/4*s**2.
-3*s**2/4
Let j(u) be the second derivative of -u**5/60 + u**4/18 - 3*u - 14. Find r, given that j(r) = 0.
0, 2
Let o be 2/(-28)*-7 - 2/4. Let c(b) be the third derivative of 1/105*b**7 + 0 + 3*b**2 + o*b**6 - 1/168*b**8 + 0*b**5 + 0*b + 0*b**4 + 0*b**3. Factor c(d).
-2*d**4*(d - 1)
Let 1/10 - 2/5*z + 3/10*z**2 = 0. Calculate z.
1/3, 1
Let g = 31 + -33. Let l be 0 - (25/15 + g). Let -l*f**2 - 1/3*f**3 + 0 + 2/3*f = 0. What is f?
-2, 0, 1
Let w(s) be the third derivative of 0*s + 19*s**2 - 1/90*s**6 + 1/45*s**5 - 2/9*s**3 + 1/18*s**4 + 0. Factor w(t).
-4*(t - 1)**2*(t + 1)/3
Suppose 0 = a + 2*w - 2 + 3, -8 = 4*w. Factor 21*m**4 + 11*m**2 + a*m**5 + 0*m**3 + 4*m**2 + 33*m**3.
3*m**2*(m + 1)**2*(m + 5)
Let p be 0/(34/(-10) + 1/(10/4)). Factor 4/7*q**2 + 0*q + p.
4*q**2/7
Let u(p) = 2*p**3 + 32*p**2 + 24*p - 86. Let q be u(-15). Solve -15/2*a**3 + 5*a + 35/2*a**q - 15/2*a**5 - 15/2*a**2 + 0 = 0 for a.
-2/3, 0, 1
Suppose -4*k + 9*k - 35 = 0. Let l be 56/6*2/k. Factor -8*u**2 - 4*u**4 + 26/3*u**3 + 2/3*u**5 + 0 + l*u.
2*u*(u - 2)**2*(u - 1)**2/3
Let p(q) = q**2 - q - 12. Let v be p(-4). Let o(y) = -2*y + 18. Let f be o(v). Factor -s + 1/3*s**3 - 2/3 + 0*s**f.
(s - 2)*(s + 1)**2/3
Let b(s) be the third derivative of -5*s**8/336 + s**7/21 + s**6/8 - s**5/3 - 5*s**4/6 + 54*s**2 - s. Let b(f) = 0. What is f?
-1, 0, 2
Let n(i) = -43*i**3 + 23*i**2 + 31*i - 17. Let l(g) = 5*g**3 - 3*g**2 - 4*g + 2. Let p(b) = 51*l(b) + 6*n(b). Factor p(c).
-3*c*(c + 2)*(c + 3)
Let m(t) = -t**2 - 57*t + 148. Let l(g) = -g + 4. Let s(n) = 60*l(n) - 4*m(n). Find d, given that s(d) = 0.
-44, 2
Let b(a) be the third derivative of -a**9/4320 - a**8/2016 + a**7/1260 - a**5/30 - a**2. Let v(g) be the third derivative of b(g). Factor v(p).
-2*p*(p + 1)*(7*p - 2)
Suppose -n + 5*w + 4 = 0, 2*w = 5*n + w - 20. Let j be (n/(-20)*6)/((-8)/20). Factor 0*x + 2/3*x**2 + 2/3*x**j + 0.
2*x**2*(x + 1)/3
Let m(o) be the third derivative of 0*o + 1/15*o**5 + 24*o**3 + 2*o**4 + 17*o**2 + 0. What is h in m(h) = 0?
-6
Factor 148*i**3 + 6*i**2 - 78*i**3 - 4*i**5 - 2*i**2 - 4*i**4 + 16*i**4 - 82*i**3.
-4*i**2*(i - 1)**3
Let k(m) be the third derivative of -m**8/420 + m**7/420 + m**6/180 - 17*m**3/6 - 20*m**2. Let a(h) be the first derivative of k(h). Factor a(u).
-2*u**2*(u - 1)*(2*u + 1)
Let a(m) = 25*m**2 - 9 + 19*m + 2*m**3 + 2*m**3 + 6*m. Suppose 24*p = -781 + 157. Let f(o) = o**3 + 6*o**2 + 6*o - 2. Let t(v) = p*f(v) + 6*a(v). Factor t(w).
-2*(w + 1)**3
Let -20/3*q + 12*q**2 - 4*q**3 - 4/3*q**4 + 0 = 0. What is q?
-5, 0, 1
Let k(g) = g**2 - g - 2. Let v(b) = 2*b**3 - 2*b**2 - 112*b + 108. Let f(t) = -2*k(t) + v(t). Factor f(h).
2*(h - 8)*(h - 1)*(h + 7)
Suppose -p - 8 = -10, 6*n + p = 8. Factor 1/3*q**2 + 4/3*q + n.
(q + 1)*(q + 3)/3
Let j be 13/5 + 2/5. Suppose -j*y - 12 = -5*y. Let q(l) = -9*l**2 + 6*l - 6. Let w(u) = -17*u**2 + 12*u - 11. Let k(d) = y*w(d) - 11*q(d). Factor k(v).
-3*v*(v - 2)
Let p(l) be the first derivative of 4*l**6/15 + 11*l**5/10 + 5*l**4/6 - 2*l**3/3 - 43*l - 26. Let u(t) be the first derivative of p(t). Factor u(z).
2*z*(z + 1)*(z + 2)*(4*z - 1)
Let j(r) be the second derivative of r**4/90 + 2*r**3/45 + 178*r. Factor j(y).
2*y*(y + 2)/15
Let l be (3/(-7))/(6/(-4)). Let p = -24973 - -24975. Solve -4/7