(u) = 4*u**3 + 5*u**2 + 2*u - 5. Let q(a) = 5*a**3 + 6*a**2 + 3*a - 6. Let b(i) = -4*n(i) + 3*q(i). Factor b(z).
-(z - 1)*(z + 1)*(z + 2)
Determine n so that 9 + 30*n + 101*n**4 - 98*n**4 + 18*n**3 + 18*n**2 + 18*n**2 = 0.
-3, -1
Let z(r) be the first derivative of 3*r**4/28 - 10*r**3/21 + 2*r**2/7 + 4*r - 6. Let a(q) be the first derivative of z(q). Factor a(h).
(h - 2)*(9*h - 2)/7
Factor 3/2*f**2 + 363/2 - 33*f.
3*(f - 11)**2/2
Let t(r) be the third derivative of -r**5/12 - 5*r**4/12 + 5*r**3/2 - 5*r**2. Suppose t(o) = 0. What is o?
-3, 1
Let b(y) be the second derivative of y**4 + 0*y**2 + 3*y - 1/2*y**3 - 9/20*y**5 + 0. Factor b(c).
-3*c*(c - 1)*(3*c - 1)
Let g(p) = -p**2 - 9*p - 10. Let a be g(-7). Find t such that -52*t**3 - 2*t**4 + 46*t**3 - 9*t**2 + t**a = 0.
-3, 0
Let j = 25 - 28. Let c(o) = o + 7. Let l be c(j). Factor 0*k + 2/7*k**l + 0*k**3 + 2/7 - 4/7*k**2.
2*(k - 1)**2*(k + 1)**2/7
Let n(i) be the third derivative of -i**6/60 - i**5/30 + 5*i**4/6 - 8*i**3/3 + 7*i**2. Factor n(w).
-2*(w - 2)*(w - 1)*(w + 4)
Let u be (-1)/(5 - 2 - 2). Let z be 4 - (u - 0) - 3. Determine v so that -2/5*v + 0 + 2/5*v**z = 0.
0, 1
Let p(x) = 6*x**5 - 9*x**4 - 18*x**3 - 3*x**2. Let j(o) = 3*o**5 - 5*o**4 - 9*o**3 - o**2. Let u(i) = -9*j(i) + 5*p(i). Factor u(q).
3*q**2*(q - 2)*(q + 1)**2
Suppose 242*v = 247*v - 20. Let d(j) be the first derivative of 0*j - 2/5*j**5 + 0*j**v + 1/3*j**6 - 3 + 0*j**2 + 0*j**3. Factor d(p).
2*p**4*(p - 1)
Determine d so that 32/3*d**3 + 0 + 6*d + 16*d**2 = 0.
-3/4, 0
Let v(n) = -n**2 - 15. Let d(z) = z - 1. Let m(y) = 24*d(y) - 3*v(y). Find c such that m(c) = 0.
-7, -1
Let a(r) = -7*r**2 - 3*r - 1. Let p(g) = -4*g**2 - 2*g - 1. Suppose -3*v = 5*c - 3 + 36, -2*c - 9 = -3*v. Let b(h) = c*a(h) + 10*p(h). Factor b(u).
2*(u - 2)*(u + 1)
Let i(j) be the second derivative of j**4/6 - j**3/3 + j**2/4 - j. Determine x so that i(x) = 0.
1/2
Factor 4 - 5 - 6*w**2 + 3 + 3*w**4 + 1.
3*(w - 1)**2*(w + 1)**2
Suppose 4*u - 2 = 5*j + 1, -5 = -5*j. Let q(x) = -x**2 + 9*x - 8. Let f(r) = -12*r**2 + 117*r - 105. Let s(m) = u*f(m) - 27*q(m). Let s(d) = 0. Calculate d.
1, 2
Let i(l) be the second derivative of l**3/2 + 5*l. Let v be i(1). Factor -1/2*b**4 + 1/2*b**2 - 1/4*b**5 + 0 + 1/4*b + 0*b**v.
-b*(b - 1)*(b + 1)**3/4
Let m be 1/2 - (-15)/6. Determine d, given that 3*d + 6*d**2 - m*d**3 + 12*d + 9 - 3*d**2 = 0.
-1, 3
Let k(u) be the first derivative of u**3/6 + 3*u**2/2 - 27. Factor k(i).
i*(i + 6)/2
Factor 4/7*s**3 + 0*s + 0 + 0*s**2 - 2/7*s**4 - 2/7*s**5.
-2*s**3*(s - 1)*(s + 2)/7
Let i(o) be the third derivative of o**5/72 + o**4/36 - o**3/36 + o**2. Factor i(z).
(z + 1)*(5*z - 1)/6
Let j be 6/(-11) - (-893)/1254. Factor -j*z**5 - 1/2*z**3 - 1/2*z**4 + 0*z + 0 - 1/6*z**2.
-z**2*(z + 1)**3/6
Factor 2/9*k**2 + 2/9*k + 0.
2*k*(k + 1)/9
Let x = 4 - 0. Factor x*b**4 - 50*b**3 - 2*b**4 - 2*b**5 + 50*b**3.
-2*b**4*(b - 1)
Let x(j) be the second derivative of -27*j**5/80 - 9*j**4/16 - 3*j**3/8 - j**2/8 - 10*j. Find u such that x(u) = 0.
-1/3
Let a(u) be the third derivative of -u**6/40 - u**5/5 - u**4/2 + 17*u**2. Factor a(g).
-3*g*(g + 2)**2
What is n in 0 - 7/5*n**4 - 6/5*n**3 + 7/5*n**2 + 2/5*n**5 + 4/5*n = 0?
-1, -1/2, 0, 1, 4
Let w(g) = -g**3 - 3*g**2 + g + 3. Let c be w(-3). Suppose 0*d + 4*d = c, -r = -5*d. Determine j so that 0 + r*j**3 + 0*j - 2/7*j**4 + 2/7*j**2 = 0.
-1, 0, 1
Let m(f) = -f**3 - 5*f**2 + 5*f + 2. Let x(w) = -w**3 - 6*w**2 + 6*w + 2. Let z(k) = 6*m(k) - 5*x(k). Let q(d) be the first derivative of z(d). Factor q(i).
-3*i**2
Let r be ((-1)/1)/(1/(-3)). Suppose l - 1 = r. Let 8/3*i**5 + 0*i**2 - 10/3*i**l + 0 + 0*i + 2/3*i**3 = 0. Calculate i.
0, 1/4, 1
Let x(h) = -h**2 + h + 2. Let k(n) = 5*n**3 + 95*n**2 + 505*n + 10. Let z(d) = k(d) - 5*x(d). Factor z(y).
5*y*(y + 10)**2
Let d(z) be the second derivative of -z**8/20160 + z**7/3780 - z**6/2160 - z**4/12 - 3*z. Let v(w) be the third derivative of d(w). Find u, given that v(u) = 0.
0, 1
Let l(d) = 5*d**5 - 2*d**4 - 2*d**2 - 5*d + 4. Let n(k) = -4*k**5 + 2*k**4 + k**2 + 4*k - 3. Let q(m) = -3*l(m) - 4*n(m). Let q(h) = 0. What is h?
-1, 0, 1
Let z(i) be the third derivative of i**5/330 + i**4/22 + 3*i**3/11 - 45*i**2 - 1. Solve z(k) = 0 for k.
-3
Let n(l) be the third derivative of 27*l**8/98 + 291*l**7/245 + 59*l**6/30 + 111*l**5/70 + 5*l**4/7 + 4*l**3/21 + 5*l**2. Suppose n(c) = 0. Calculate c.
-1, -1/4, -2/9
Let t(i) be the first derivative of -32*i**5/5 + 60*i**4 - 386*i**3/3 - 120*i**2 - 32*i + 8. Determine a, given that t(a) = 0.
-1/4, 4
Let w be (-1 + 0)*5/(-10). Factor -w*h + 0 + 1/2*h**3 + 0*h**2.
h*(h - 1)*(h + 1)/2
Let o be 135/75 + 2/10. Let l be o/4 + (-4)/40. Factor l*g**2 - 2/5 + 0*g.
2*(g - 1)*(g + 1)/5
Let -2/3*k**2 - 13/3*k**3 + 0 + 0*k - 3*k**5 - 20/3*k**4 = 0. Calculate k.
-1, -2/9, 0
Let u be (-1)/(-6) + 1319/1230. Let y = u + -18/41. Find q, given that 2/5*q**3 + y*q**2 + 0 + 0*q = 0.
-2, 0
Let b = 33/10 + -19/6. Suppose 0 + b*k**3 + 0*k + 4/15*k**2 = 0. What is k?
-2, 0
Let j(v) be the second derivative of -v**7/3780 - v**6/810 - v**5/540 + v**3/6 - 3*v. Let u(d) be the second derivative of j(d). Let u(q) = 0. Calculate q.
-1, 0
Let m(u) = u**2 - 8*u - 9. Let f be m(9). Factor -2/5 + f*s + 2/5*s**2.
2*(s - 1)*(s + 1)/5
Let m(v) be the third derivative of v**5/90 - v**4/18 + v**3/9 + 7*v**2. Find f such that m(f) = 0.
1
Let m(k) be the second derivative of -k**6/150 + k**4/30 - k**2/10 + 3*k. Factor m(v).
-(v - 1)**2*(v + 1)**2/5
Factor 0 - 2/7*j**5 - 6/7*j**4 - 2/7*j**2 - 6/7*j**3 + 0*j.
-2*j**2*(j + 1)**3/7
Let m(t) be the third derivative of -t**5/90 + t**4/18 + 7*t**2. Factor m(d).
-2*d*(d - 2)/3
Let y = 167/90 + -1/18. Let 3/5*p**3 - y*p + 6/5 + 0*p**2 = 0. Calculate p.
-2, 1
Let g = 871/3879 - 1/431. Factor 4/9*f**3 - g*f + 0 - 2/9*f**2.
2*f*(f - 1)*(2*f + 1)/9
Let p(q) = q**3 - 2*q + 1. Let r be p(-4). Let v be (-3)/(-4)*(-120)/r. Determine d so that 2/11*d - 12/11*d**2 + v*d**3 + 0 - 8/11*d**4 = 0.
0, 1/4, 1
Let v(y) be the third derivative of y**8/36 + 2*y**7/63 - y**6/45 - 4*y**2. Suppose v(x) = 0. Calculate x.
-1, 0, 2/7
Solve 7*g**4 + 2 - 2 + 2*g**4 + 3*g**3 - 6*g**2 = 0.
-1, 0, 2/3
Let d(g) be the third derivative of 0*g + 1/36*g**4 - 1/45*g**5 + 0 + 2*g**2 + 0*g**3. Determine s so that d(s) = 0.
0, 1/2
Let l(s) be the third derivative of -s**8/80640 - s**7/20160 - s**5/30 - 2*s**2. Let n(w) be the third derivative of l(w). Factor n(d).
-d*(d + 1)/4
Let t(n) be the first derivative of n**6/540 - n**5/90 + n**4/54 + 5*n**2/2 + 1. Let q(r) be the second derivative of t(r). What is i in q(i) = 0?
0, 1, 2
Let s(l) be the second derivative of 3*l**7/2 + l**6/10 - 111*l**5/20 + 3*l**4/4 + 8*l**3 - 6*l**2 - 7*l. Determine b, given that s(b) = 0.
-1, 2/7, 2/3, 1
Let c(s) be the second derivative of -15*s**5/4 + 45*s**4/4 - 12*s**3 + 6*s**2 + 14*s. What is a in c(a) = 0?
2/5, 1
Let m be 527/170 - 3/30. Solve -486/5*q**m - 168/5*q + 16/5 + 108*q**2 = 0.
2/9, 2/3
Let a(l) be the second derivative of 3*l**5/5 + 5*l**4/3 - 4*l**3/3 - 77*l. Factor a(c).
4*c*(c + 2)*(3*c - 1)
Let f = 6/13 - 141/52. Let g = 31/12 + f. Determine p, given that g*p**4 - 1/3*p**2 + 0*p + 0 + 0*p**3 = 0.
-1, 0, 1
Let i(c) be the first derivative of c**6/33 + 6*c**5/55 + c**4/22 - 2*c**3/11 - 2*c**2/11 + 6. Solve i(m) = 0 for m.
-2, -1, 0, 1
Suppose 9 = -3*i + 18. Let w(q) be the second derivative of -i*q**2 + 15/8*q**5 - 4*q**3 - 5/8*q**4 - 3*q + 0. Determine g, given that w(g) = 0.
-2/5, 1
Let n(x) = 3*x**4 + 3*x**3 + 3*x**2 - 9*x + 6. Let o(h) = -6*h**4 - 6*h**3 - 5*h**2 + 17*h - 11. Let j(t) = -11*n(t) - 6*o(t). Suppose j(k) = 0. Calculate k.
-1, 0, 1
Let o be (7/(14/(-20)))/(-3). Let k(m) be the first derivative of -1 + 19/9*m**3 + 7/18*m**6 - 23/15*m**5 - o*m**2 + 4/3*m + 13/12*m**4. Solve k(h) = 0.
-1, 2/7, 1, 2
Let r(t) be the first derivative of -t**4/10 + 2*t**3/15 + 20. Factor r(u).
-2*u**2*(u - 1)/5
Let n(d) be the second derivative of -3*d**5/20 - 3*d**4/2 - 6*d**3 - 12*d**2 - 4*d. Suppose n(b) = 0. Calculate b.
-2
Solve 3/5*i**4 + 6/5 + 27/5*i**2 + 21/5*i + 3*i**3 = 0.
-2, -1
Let d = 41 - 81/2. Factor d*k + 1/2*k**2 - 1.
(k - 1)*(k + 2)/2
Let n(p) be the third derivative of -p**5/60 + p**4/24 + p**3/3 + 9*p**2. Let n(d) = 0. What is d?
-1, 2
Let f(q) be the fi