ctor f(t).
-(t - 1)*(t + 11)*(3*t - 1)
Solve 192*j + 175*j - 386*j - j**2 - 18 = 0.
-18, -1
Suppose 2*y + 2 = 32. Let g = y + -7. Suppose 5*v + 0*v**2 - 13*v + g - 4*v + 4*v**2 = 0. Calculate v.
1, 2
Let r be (-1)/(4/5) - (-11890)/2088. Find u, given that -28/9*u**2 + r*u - 4/3 = 0.
3/7, 1
Let p(q) be the first derivative of q**4/10 - 14*q**3/15 + 4*q**2/5 + 24*q/5 - 433. Determine w so that p(w) = 0.
-1, 2, 6
Let c = 93 - 76. Let v = c - 15. Factor 2/9*a**v + 0 + 2/3*a.
2*a*(a + 3)/9
Let p(r) be the third derivative of r**10/347760 - r**9/173880 - 11*r**4/12 + 8*r**2. Let u(z) be the second derivative of p(z). Solve u(g) = 0 for g.
0, 1
Let h(l) be the first derivative of l**6/12 - l**5/2 - 3*l**4 + 506. Factor h(w).
w**3*(w - 8)*(w + 3)/2
Let l(h) be the first derivative of h**6/18 - 77*h**5/15 + 1013*h**4/6 - 19450*h**3/9 + 33125*h**2/6 - 15625*h/3 - 129. Factor l(z).
(z - 25)**3*(z - 1)**2/3
Let j be (-3)/(-3)*-79 + 0. Let y = 84 + j. Solve 7/4*l**y + 0 + 1/2*l - 9/4*l**3 + 5/4*l**4 - 5/4*l**2 = 0 for l.
-1, 0, 2/7, 1
Let a be 3 - 29/10 - (-1)/5. Let z(f) be the second derivative of -4/3*f**3 + 2/3*f**4 + 0*f**2 + f + 0 + a*f**5. Factor z(q).
2*q*(q + 2)*(3*q - 2)
Let i = -1934 + 1936. Let t(h) be the second derivative of -2/3*h**4 + 0 - 2*h**i - 6*h - 2*h**3. Determine v, given that t(v) = 0.
-1, -1/2
Determine u, given that -21*u**4 - 12*u**3 + 21*u**2 - 2*u**3 + 3*u**3 + 5*u**3 + 6*u = 0.
-1, -2/7, 0, 1
Let g be 8 - (308/(-42) + 14). Find w, given that 16/3*w**4 + 20/3*w**3 + 8/3*w**2 + g*w**5 + 0*w + 0 = 0.
-2, -1, 0
Let n = 109283/21 - 5209. Let v = 40/7 + n. Factor v - 1/3*l - 1/3*l**2.
-(l - 1)*(l + 2)/3
Let h = 74 + -58. Factor 16 - 24*l + 5*l**2 + 24*l - l**2 + h*l.
4*(l + 2)**2
Let n = -88362/17 + 5198. Find t, given that -n*t + 2/17*t**5 - 10/17*t**2 - 6/17*t**3 + 2/17*t**4 + 0 = 0.
-1, 0, 2
Factor -30/7*u - 2/7*u**2 + 32/7.
-2*(u - 1)*(u + 16)/7
Let z(u) be the third derivative of -16*u**6/15 - 8*u**5/5 + 5*u**4/4 - u**3/3 - 134*u**2. Factor z(i).
-2*(i + 1)*(8*i - 1)**2
Factor -325*h + 5/2*h**4 + 170*h**2 + 375/2 - 35*h**3.
5*(h - 5)**2*(h - 3)*(h - 1)/2
Let a = -29063583/80 - -363300. Let q = a - 45/16. Find w, given that -9/5*w + 6/5*w**2 + 0*w**4 - 3/5*w**5 - 6/5 + q*w**3 = 0.
-1, 1, 2
Let b(o) be the second derivative of o**6/120 + 5*o**5/4 + 2597*o**4/48 + 2401*o**3/12 - 299*o. Let b(f) = 0. Calculate f.
-49, -2, 0
Let d be (0/(-4))/3 + (4 - 2). Determine y, given that -3 - 5 + 4*y**4 + 8 + 4*y - 4*y**3 - 4*y**d = 0.
-1, 0, 1
Let g be 32/(-14) + 24864/10192. Suppose -2/13*q**4 + 2/13*q**2 + 0 + 0*q - g*q**3 + 2/13*q**5 = 0. What is q?
-1, 0, 1
Let t be 12/8 + 5 + (-3)/2. Let k(s) be the third derivative of -1/120*s**t - 8*s**2 + 0*s + 1/16*s**4 + 0 - 1/6*s**3. Factor k(l).
-(l - 2)*(l - 1)/2
Let y be ((-9)/3)/(180/(-120)). Let j(t) be the second derivative of -1/2*t**y - 1/30*t**6 + 1/5*t**5 + 10*t - 1/2*t**4 + 0 + 2/3*t**3. Factor j(o).
-(o - 1)**4
Let k(v) = 12*v**3 + 1864*v**2 + 73487*v + 18263. Let s(r) = -4*r**3 - 621*r**2 - 24496*r - 6088. Let d(q) = -4*k(q) - 11*s(q). Factor d(z).
-(z + 78)**2*(4*z + 1)
Let r(c) be the second derivative of -3*c**6/70 + 3*c**5/10 + 5*c**4/28 + 16*c - 7. Factor r(g).
-3*g**2*(g - 5)*(3*g + 1)/7
Let h(y) be the second derivative of y**6/15 - y**5/10 - y**4/6 + y**3/3 + 109*y + 1. Solve h(f) = 0 for f.
-1, 0, 1
Let s = 2/28307 + 254759/56614. Let -13/2*f + 1 + 10*f**2 - s*f**3 = 0. What is f?
2/9, 1
Let m(d) be the first derivative of d**3/15 - 15*d**2/2 - 154*d/5 + 401. Factor m(s).
(s - 77)*(s + 2)/5
Suppose a - 5*a + 3*f = -31, -28 = -2*a + 4*f. Let i be (-1)/2 + 14/4. Factor 4*c**2 + 2*c**3 + a*c**i - 2*c**3.
4*c**2*(c + 1)
Let s(y) be the third derivative of -2/105*y**7 + 0*y**4 + 0*y**3 + 1/30*y**6 - 7*y**2 + 0 + 0*y + 0*y**5. Factor s(v).
-4*v**3*(v - 1)
Suppose 2*q + 113 = 3*k - 0*q, -k - 4*q + 19 = 0. Factor -3 - 16 + k - 4*w**3 + 20*w**2 - 32*w.
-4*(w - 2)**2*(w - 1)
Let p = 134 + -129. Suppose -12 = -5*w - 2. Determine n so that -3/2*n**w - 2 - p*n + 9/4*n**3 = 0.
-2/3, 2
Determine o so that -96*o + 5*o**5 - 3*o**4 - o**5 - 212*o**2 + 23*o**4 + 104*o**3 - 128 + 16*o**4 + 292*o**2 = 0.
-4, -2, 1
Let q = -519 + 521. Suppose 0 + 14/5*d**4 + 7/5*d**q + 6/5*d - 9*d**3 = 0. What is d?
-2/7, 0, 1/2, 3
Let u(i) be the first derivative of -3/7*i - 1/28*i**4 - 1/21*i**3 - 2 + 5/14*i**2. Factor u(c).
-(c - 1)**2*(c + 3)/7
Suppose 0 = -3*r + 7 - 1. Factor 2*q**4 - 39*q + 43*q + 4*q**2 + 8*q**r + 12*q**3 + 2*q**4.
4*q*(q + 1)**3
Factor -4/3 + 40*s**2 + 14/3*s.
2*(4*s + 1)*(15*s - 2)/3
Let m(o) be the second derivative of -o**7/105 + o**6/30 + o**5/10 - o**4/3 - 4*o**3/3 + 3*o**2/2 - 21*o. Let i(h) be the first derivative of m(h). Factor i(x).
-2*(x - 2)**2*(x + 1)**2
Suppose 0 = 4*a - 0*a - 12. Suppose -4 = -6*k + 20. Factor 22*m**4 - 45*m**a + 3*m**3 + 6*m**2 + 4*m - 18*m**5 + 28*m**k.
-2*m*(m - 1)**3*(9*m + 2)
Suppose -5*u - 30 = -5*q, 0 = -4*q - u + 9 + 20. Factor -y**2 - 3*y**2 - q*y**3 - 38*y**4 - y**3 + 34*y**4.
-4*y**2*(y + 1)**2
Let b be (-2)/(-54)*11/(-22)*-1. Let j(c) be the second derivative of -6*c + 0 + b*c**4 - 4/27*c**3 + 4/9*c**2. Factor j(s).
2*(s - 2)**2/9
Let p = 998 - 996. Factor -1 - p*n - 1/4*n**2 + 1/4*n**4 - 1/4*n**5 + 5/4*n**3.
-(n - 2)**2*(n + 1)**3/4
Suppose -2*u = 5*j + 30, -j - 6 = 51*u - 47*u. Determine m, given that -1/5*m**4 + 1/5*m**5 + 0*m + 4/5*m**2 - 4/5*m**3 + u = 0.
-2, 0, 1, 2
Let r(p) be the second derivative of p**8/13440 - p**7/5040 - p**6/720 + p**4/2 + 9*p. Let j(v) be the third derivative of r(v). Suppose j(q) = 0. Calculate q.
-1, 0, 2
Let h be 51/(-85) + 5998/6930. Let k = 2/99 + h. Factor -2/7*s - 6/7*s**2 + k*s**3 + 4/7 + 2/7*s**4.
2*(s - 1)**2*(s + 1)*(s + 2)/7
Let a(h) be the second derivative of -h**4/6 + 7*h**3/3 - 12*h**2 - 67*h. Factor a(c).
-2*(c - 4)*(c - 3)
Let q(o) = -o + 6. Let s be q(-2). What is r in -32*r**2 + 3*r**3 + 6*r**2 - s + 24*r - 2*r**4 + 9*r**3 = 0?
1, 2
Suppose 11*l - 39 = -17. Factor -8/9*b**5 - 2/9*b**l + 0 - 4/3*b**3 - 2*b**4 + 0*b.
-2*b**2*(b + 1)**2*(4*b + 1)/9
Let z(j) be the first derivative of 0*j**2 + 8*j**3 - 4/5*j**5 + j**4 + 0*j - 14. Factor z(f).
-4*f**2*(f - 3)*(f + 2)
Suppose 16*g = -9*g + 7*g. Find l, given that -4/9*l**2 + 2/9*l**3 + g + 0*l = 0.
0, 2
Let -392/3*q + 0 - 56/3*q**2 - 2/3*q**3 = 0. Calculate q.
-14, 0
Solve 5*a**5 - 362*a**4 + 178*a**4 + 6*a**2 - 151*a**2 - 50*a - 135*a**3 + 149*a**4 = 0.
-1, 0, 10
Let a = -1117 + 4469/4. Suppose -n - 1 - a*n**2 = 0. What is n?
-2
Let l be 0 + 4 - -3 - 5/(-3 + 4). Factor -23/2*m + 3 - l*m**2.
-(m + 6)*(4*m - 1)/2
Let p(b) = -12*b - 45. Let u be p(-4). Let r be (u/6*3)/((-6)/(-16)). Suppose 0 + 0*f**2 + 1/2*f**r + 0*f**3 + 0*f - 1/2*f**5 = 0. What is f?
0, 1
Let s(h) = -h**5 - 4*h**4 - 5*h**3 + 5*h**2 + 8*h + 1. Let n be -3 + 1 + (0 - -5). Let g(y) = -y**4 - y**3 - y**2 - 1. Let a(v) = n*s(v) + 3*g(v). Factor a(q).
-3*q*(q - 1)*(q + 2)**3
Let 20/7*b**2 + 10/7*b**3 - 4/7*b**4 - 2/7*b**5 - 16/7 - 8/7*b = 0. Calculate b.
-2, -1, 1, 2
Suppose 1/3*j**3 - 4/3 + 4/3*j**2 - 1/3*j = 0. Calculate j.
-4, -1, 1
Let w(u) be the third derivative of 0 + 0*u**4 - 2/105*u**7 + 0*u - 1/10*u**6 - 24*u**2 - 2/15*u**5 + 0*u**3. Factor w(z).
-4*z**2*(z + 1)*(z + 2)
Let z = -198 - -3961/20. Let h(p) be the second derivative of 4*p + z*p**4 - 1/100*p**5 + 1/10*p**2 - 1/10*p**3 + 0. Suppose h(y) = 0. What is y?
1
Factor 107 - 9*x - 51 + 3*x**3 - 62.
3*(x - 2)*(x + 1)**2
Let t = 288 + -283. Let m(l) be the first derivative of -1/3*l**6 + 0*l**2 + 1/2*l**4 - 2/3*l**3 + 0*l + 2/5*l**t + 3. Let m(o) = 0. What is o?
-1, 0, 1
Let z(q) be the second derivative of 5*q**4/48 + 5*q**3 + 115*q**2/8 - q. Determine o, given that z(o) = 0.
-23, -1
Let m(j) = j**2 + 3*j + 8. Let s be m(-3). Suppose -17 = -v - s. Let 3*w + 2 - 3*w**2 + v*w - 2 = 0. What is w?
0, 4
Let c = 5 + -7. Let y(v) = -3*v**3 + 8*v**2 - 18*v. Let u(l) = -7*l**3 + 16*l**2 - 37*l. Let d(h) = c*u(h) + 5*y(h). Factor d(q).
-q*(q - 4)**2
Let y(w) be the first derivative of -w**5/240 - w**2 - 5*w - 5. Let f(p) be the first derivative of y(p). Let z(r) be the first derivative of f(r). Factor z(m).
-m**2/4
Let f(n) be the third derivative of 0*n**3 + 0 - 1/3*n**5 - 2/105*n**7 - 1/3*n**4 - 10*n**2 + 0*n - 2/15*n**6. Find d,