f -1/3*s**4 + 2*s**2 + 0*s + 4/3*s**3 + z + 1/30*s**5. Factor f(x).
2*(x - 2)**2
Let c(w) be the second derivative of -5*w**7/84 - 21*w**6/80 - 47*w**5/160 + w**3/12 - 26*w. Solve c(l) = 0 for l.
-2, -1, -2/5, 0, 1/4
Let a(g) = 12*g**2 - 33*g. Let u(l) = -3*l**2 + 8*l. Let o(m) = 5*a(m) + 21*u(m). Let o(h) = 0. Calculate h.
0, 1
Let a(u) be the first derivative of 2/3*u**3 + 2*u + 6 - 2*u**2. Suppose a(s) = 0. What is s?
1
Let z = 465 + -3727/8. Let w = -3/8 - z. Let -1/2*p**2 + 0*p + 0 - 1/2*p**5 + 1/2*p**3 + w*p**4 = 0. What is p?
-1, 0, 1
Let v(l) be the first derivative of l**3/7 - 9*l**2/7 + 9. Let v(b) = 0. What is b?
0, 6
Let h = 353/238 - -2/119. Determine c so that 3/2*c**3 + 3/2*c**2 - h - 3/2*c = 0.
-1, 1
Suppose 2*i = -3*y + 68 + 4, 4*y = -2*i + 96. What is n in 2*n**5 - 13*n**4 + n**4 - y*n**2 + 26*n**3 + 9*n + 6*n - 7*n = 0?
0, 1, 2
Suppose -3*a**3 - 4*a + 0*a**2 - 3*a**2 + 3 + 7*a = 0. Calculate a.
-1, 1
Suppose 3*d - 12 + 3 = 0. Solve -3*a**2 + a**2 + 2 + 3*a - 2*a + a - 2*a**d = 0 for a.
-1, 1
Let n(j) be the second derivative of -32/39*j**3 - 16/13*j**2 - 1/195*j**6 - 2*j + 0 - 4/13*j**4 - 4/65*j**5. Factor n(l).
-2*(l + 2)**4/13
Suppose -7*g - 2 = -2. Let h(k) be the third derivative of 0*k + g*k**4 + 0 + 1/60*k**6 + 0*k**3 - 2*k**2 + 1/30*k**5. Find y, given that h(y) = 0.
-1, 0
Let z(h) = -h + 3. Let n be z(4). Let u be -3*(n - 1/(-3)). Determine l so that 2*l**2 + 6*l**3 - 1 + 6*l**4 + 1 - u*l**4 = 0.
-1, -1/2, 0
Let u(p) be the third derivative of -p**8/336 - p**7/70 + p**5/15 + 2*p**2. Suppose u(g) = 0. Calculate g.
-2, 0, 1
Let n(l) = -5*l**3 - l**2 + 3*l + 2. Let g be n(-1). What is c in -1/3*c**5 - 1/3*c + 0*c**2 + 2/3*c**g + 0*c**4 + 0 = 0?
-1, 0, 1
Factor -3/2*r + 3*r**2 - 5/2*r**3 + 3/4*r**4 + 1/4.
(r - 1)**3*(3*r - 1)/4
Factor -20*s**4 + 16*s**4 + 16*s**2 - 4*s**3 + 32*s - 4*s**3.
-4*s*(s - 2)*(s + 2)**2
Let m(d) be the second derivative of -d**5/90 - d**4/18 - d**3/9 + 2*d**2 - 4*d. Let x(i) be the first derivative of m(i). Solve x(a) = 0 for a.
-1
Factor -2/7*a**2 + 0*a + 2/7.
-2*(a - 1)*(a + 1)/7
Let y(s) be the first derivative of 2*s**7/105 - s**6/10 + s**5/5 - s**4/6 - 4*s**2 + 5. Let h(w) be the second derivative of y(w). Factor h(a).
4*a*(a - 1)**3
Let z(y) be the third derivative of -y**7/10 + 13*y**6/20 - y**5 - y**4 + 11*y**2. Factor z(d).
-3*d*(d - 2)**2*(7*d + 2)
Let i be -2 - 1/(6/(-24)). Factor 0*m + 0*m**i + 1/2*m**4 + 0*m**3 + 1/2*m**5 + 0.
m**4*(m + 1)/2
Let p(q) = 6*q + 2*q**2 - 2*q**2 + q**2 + 2*q**2 - 3. Let t(f) = -3*f**2 - 7*f + 4. Let k(d) = 4*p(d) + 3*t(d). What is h in k(h) = 0?
-1, 0
Let v be (-10 - -10)/((-4)/2). Let s(r) be the second derivative of -1/6*r**2 + 1/18*r**4 + v + 0*r**3 - 2*r - 1/90*r**6 + 0*r**5. Factor s(a).
-(a - 1)**2*(a + 1)**2/3
Let v(p) = p**3 + 31*p**2 + 72*p + 48. Let z(r) = -r**3 - 16*r**2 - 36*r - 24. Let h(y) = -2*v(y) - 5*z(y). Factor h(x).
3*(x + 2)**3
Let c(j) = j**3 - j**2 - 3*j + 2. Let d be c(2). Let z = 0 - d. Suppose 4*b + z*b - 10*b + 2*b**2 + 4 = 0. Calculate b.
1, 2
Let t(p) be the third derivative of p**9/90720 + p**8/10080 + p**7/2520 + p**6/1080 + p**5/20 - p**2. Let s(f) be the third derivative of t(f). Solve s(u) = 0.
-1
Let l(o) be the first derivative of -o**4 + 8*o**3/3 + 2*o**2 - 8*o + 7. Find y such that l(y) = 0.
-1, 1, 2
Let o(l) be the first derivative of -l**6/45 - l**5/30 - l**4/48 - 2*l**3/3 - 2. Let z(j) be the third derivative of o(j). Factor z(f).
-(4*f + 1)**2/2
Let n(k) = 10*k**3 + 4*k**2 - 4*k - 4. Let d = -11 + 6. Let t(h) = -10*h**3 - 4*h**2 + 5*h + 5. Let c(p) = d*n(p) - 4*t(p). Factor c(v).
-2*v**2*(5*v + 2)
Let n(y) be the first derivative of -8*y**3/27 + 10*y**2/9 + 4*y/3 - 22. Let n(q) = 0. What is q?
-1/2, 3
Let o(g) = -4*g**2 + 2*g + 8. Let b(q) = -3*q**2 + 3*q + 8. Let v(h) = -6*b(h) + 5*o(h). Factor v(s).
-2*(s + 2)**2
Let p(j) be the first derivative of 3*j**4/16 - j**3/8 + 4*j - 5. Let g(o) be the first derivative of p(o). Factor g(w).
3*w*(3*w - 1)/4
Suppose 5*a + j = 111, -2*a - 4*j = -5*a + 62. Let f = 24 - a. Find s such that 3/4*s**3 + 0*s + 0*s**f + 0 = 0.
0
Let f(s) be the first derivative of s**3/15 + s**2/10 - 2*s/5 - 14. Factor f(x).
(x - 1)*(x + 2)/5
Suppose -7*p + 2*p - 10 = 0. Let a(g) be the third derivative of g**5/60 - 3*g**4/8 + 2*g**2. Let z(u) = -4*u. Let d(q) = p*a(q) + 5*z(q). Solve d(s) = 0 for s.
-1, 0
Factor -4/3*u**4 + 0 + 4/3*u**3 + 4/3*u**2 - 4/3*u.
-4*u*(u - 1)**2*(u + 1)/3
Factor 8/3 - 140/3*w**2 - 4*w.
-4*(5*w - 1)*(7*w + 2)/3
Let z(v) be the first derivative of 1/5*v**5 + 1/2*v**4 + 0*v**2 - 5 + 0*v + 1/3*v**3. Factor z(d).
d**2*(d + 1)**2
Let s(c) be the third derivative of -c**8/10080 - c**7/1260 + c**5/20 + 4*c**2. Let x(a) be the third derivative of s(a). Factor x(v).
-2*v*(v + 2)
Let x(j) = j**3 - j. Let o(n) = -2*n**3 + 18*n**2 + 58*n + 54. Let r(y) = -o(y) - 4*x(y). Factor r(p).
-2*(p + 3)**3
Suppose -5*g + 0*i = 4*i - 12, 3*i = 5*g + 9. Determine s, given that g + 1/2*s + 1/2*s**2 = 0.
-1, 0
Let b be (0/(3/(-3)))/1. Factor 0*n**2 + 8/3*n - 2*n**3 - 2/3*n**4 + b.
-2*n*(n - 1)*(n + 2)**2/3
Factor 1 + d**2 - 4*d + 4 - 7 - 3*d**2.
-2*(d + 1)**2
Let a be -1*(0 - (7 + -2)). Let l = 7 - a. Factor 4/3*x - 2*x**3 + 0 - 2/3*x**l.
-2*x*(x + 1)*(3*x - 2)/3
Suppose -4*n - 20 = -11*k + 9*k, 0 = -3*k + n + 5. Find h such that k*h - 1/4*h**2 + 0 = 0.
0
Let z be 144/96 + ((-3)/(-6))/1. Factor 4 - z*k**2 + 14/3*k.
-2*(k - 3)*(3*k + 2)/3
Factor 5*s**4 - 3*s**2 + 7*s**3 - 4*s - 3*s + 0*s - 2.
(s - 1)*(s + 1)**2*(5*s + 2)
Let n(i) be the second derivative of -2*i**6/105 + 3*i**5/14 + 4*i**4/21 + 2*i + 1. Factor n(q).
-2*q**2*(q - 8)*(2*q + 1)/7
Find z such that -z**2 - 4*z + 0 + 2 - 4 - z**2 = 0.
-1
Let u = 3 - 2. Let c be 3 + u/(12/(-21)). Suppose -1/4 + 1/2*y**5 - y - y**2 + 1/2*y**3 + c*y**4 = 0. Calculate y.
-1, -1/2, 1
Let o(d) be the second derivative of d**6/480 + d**5/240 - d**2/2 + 3*d. Let m(g) be the first derivative of o(g). Factor m(f).
f**2*(f + 1)/4
Factor -3/2*r**2 + 1/2*r**3 + 3/2*r**4 - r + 1/2*r**5 + 0.
r*(r - 1)*(r + 1)**2*(r + 2)/2
Let z be 0*((-9)/4 - -2)*-1. Let d(n) be the third derivative of 0*n - 1/30*n**5 - 4*n**2 + 1/2*n**4 - 3*n**3 + z. Factor d(k).
-2*(k - 3)**2
Let q = -87 + 92. Let h(u) be the second derivative of 0*u**3 + 0 + 1/105*u**7 + 0*u**2 - u + 1/30*u**4 - 1/50*u**q - 1/75*u**6. Factor h(r).
2*r**2*(r - 1)**2*(r + 1)/5
What is h in -2 - 2*h**2 + 0*h**2 + 0*h**2 + 4*h = 0?
1
Let c(f) be the third derivative of f**6/120 + f**5/20 + f**4/8 + f**3/6 + 9*f**2. Solve c(a) = 0 for a.
-1
Let m(l) = 12*l**3 + 12*l**2 + 24*l + 6. Let q(p) = -p**3 - p. Let i(d) = m(d) + 9*q(d). Factor i(h).
3*(h + 1)**2*(h + 2)
Let o be 544/160 + (-2)/5. Factor 2/5*s**o - 1/5*s**4 + 0*s + 0 - 1/5*s**2.
-s**2*(s - 1)**2/5
Let s = -15 - -11. Let i be -3 + s/4 + 4. Factor 2/5*p**2 + i + 0*p + 2/5*p**3.
2*p**2*(p + 1)/5
Let x be ((-288)/(-60) - (-8)/(-10)) + -4. Factor -1/2*h**4 + 0 + x*h + 1/2*h**2 + 0*h**3.
-h**2*(h - 1)*(h + 1)/2
Let l(o) be the first derivative of -o**6/50 - 9*o**5/100 - 3*o**4/20 - o**3/10 + 6*o + 3. Let w(p) be the first derivative of l(p). Factor w(m).
-3*m*(m + 1)**3/5
Let t(h) = 12*h**5 - 12*h**4 + 6*h**3 - 6*h**2 + 9. Let b(s) = s**5 - s**4 + s**3 - s**2 + 1. Let l(x) = -9*b(x) + t(x). Factor l(j).
3*j**2*(j - 1)**2*(j + 1)
Let j(c) be the second derivative of c**6/120 + c**5/80 - 5*c**4/24 - c**3/6 + 3*c**2 - 22*c. Factor j(u).
(u - 2)**2*(u + 2)*(u + 3)/4
Let o be (-4)/(-25)*(-17 - -37). Factor -1/5*s**2 - o + 8/5*s.
-(s - 4)**2/5
Let h = 186 - 1672/9. Let m = 1620 - 1617. Factor 0 - 2/9*b**2 - 2/9*b**m + h*b**4 + 2/9*b.
2*b*(b - 1)**2*(b + 1)/9
Let i = -10 + 15. Factor -4*o**2 + 0*o - 1 + i*o**2 + o**3 - o.
(o - 1)*(o + 1)**2
Factor -1/3*p - 1/3*p**2 + 2.
-(p - 2)*(p + 3)/3
Let r(y) be the first derivative of -3*y**4/20 + y**3 - 6*y**2/5 - 40. Find l such that r(l) = 0.
0, 1, 4
Let b(t) be the first derivative of 5*t**4/4 - 35*t**3/3 + 20*t**2 + 80*t - 1. Factor b(p).
5*(p - 4)**2*(p + 1)
Let u = 38/9 - 181/45. Factor 1/5*l**2 + 0 + 0*l - 1/5*l**4 + 1/5*l**5 - u*l**3.
l**2*(l - 1)**2*(l + 1)/5
Find r such that -6*r**4 - 3*r**3 + 3*r**4 - 12*r + 3*r**2 + 15*r = 0.
-1, 0, 1
Suppose -11 - 5 = -8*n. Let -3*o**3 - 3*o + 7*o**3 - o**3 - n - 2*o**2 + o**4 + 3*o*