t - 2)**2*(t - 1)/8
Let y = 1211 - 1209. Let g(j) be the third derivative of 0*j - 7*j**y + j**3 + 0 - 1/6*j**4 - 1/30*j**5. Determine r, given that g(r) = 0.
-3, 1
Let s(y) = 15*y**3 + 51*y**2 - 84*y. Let w(n) = -7*n**3 - 26*n**2 + 41*n. Let u(d) = -4*s(d) - 9*w(d). Factor u(h).
3*h*(h - 1)*(h + 11)
Let a be (-183)/(-7) - 0 - (-6)/(-42). Let k be 8/(-10) - a/(-20). Factor 1/2*l**3 - 1/2*l - 1/2 + k*l**2.
(l - 1)*(l + 1)**2/2
Let z be 666/2109*(-19)/(-2). Factor -4*d**z + 0 + 4/3*d**5 + 16/3*d + 8/3*d**4 - 16/3*d**2.
4*d*(d - 1)**2*(d + 2)**2/3
Let b be ((-6)/(-135))/((-1)/((-5)/18)). Let k = 83/162 - b. Solve -5/4*i**2 - 3/4*i**3 + 1/4*i**5 + 0 - k*i + 1/4*i**4 = 0 for i.
-1, 0, 2
Let u be ((-8)/(-16)*0)/(-3). Let i(f) be the second derivative of 0*f**2 + 0 - 1/10*f**5 + 0*f**6 - 2*f + 1/42*f**7 + 1/6*f**3 + u*f**4. Factor i(w).
w*(w - 1)**2*(w + 1)**2
Let p(d) = 0 + d**2 - 2*d**2 + 9*d + 6. Let s(b) = 3*b**2 - 26*b - 17. Let j(u) = 17*p(u) + 6*s(u). Factor j(z).
z*(z - 3)
Factor 670*o**2 + 434 - 69 + 295 - 5*o**3 - 1325*o.
-5*(o - 132)*(o - 1)**2
Let p(h) be the first derivative of h**6/30 + 6*h**5/25 + 3*h**4/5 + 8*h**3/15 + 234. Determine l so that p(l) = 0.
-2, 0
Let v = -117 - -117. Factor 9/7*a**3 + 6/7*a**4 + 1/7*a**5 + 0 + v*a**2 + 0*a.
a**3*(a + 3)**2/7
Find x, given that 0 + 32/7*x - 2/7*x**2 = 0.
0, 16
Let k(l) be the second derivative of 3*l**6/5 + 33*l**5/10 - 17*l**4/6 - 7*l**3 - 4*l**2 - 2*l - 6. Factor k(q).
2*(q - 1)*(q + 4)*(3*q + 1)**2
Let a(j) be the third derivative of -j**5/12 + 5*j**4/12 + 20*j**3/3 + 2*j**2 + 6*j. Factor a(h).
-5*(h - 4)*(h + 2)
Find b, given that 4*b**2 - 114 - 20 + 152*b - 22 = 0.
-39, 1
Let j(c) be the first derivative of -c**5/5 + c**4/2 + 5*c**3 - 356. Factor j(z).
-z**2*(z - 5)*(z + 3)
Let j(v) be the first derivative of 95*v**4 - 1316/3*v**3 - 46/5*v**5 - 11 - 686*v + 1/3*v**6 + 833*v**2. Factor j(c).
2*(c - 7)**3*(c - 1)**2
Let y(z) be the second derivative of 1/315*z**7 - 1/18*z**4 + 1/225*z**6 + 3*z - 2/45*z**3 + 0 - 1/50*z**5 + 0*z**2. Solve y(a) = 0 for a.
-1, 0, 2
Let b be (2 - 2)/(-1 - 1). Suppose 12*p = 99*p. Let b + 4/5*q - 4/5*q**3 + p*q**2 = 0. Calculate q.
-1, 0, 1
Let n(c) be the first derivative of -2*c**5/55 - 69*c**4/22 - 70*c**3 + 1225*c**2/11 + 60. Factor n(u).
-2*u*(u - 1)*(u + 35)**2/11
Let m(f) be the third derivative of f**5/30 + 41*f**4/12 + 72*f**2. Let m(k) = 0. Calculate k.
-41, 0
Let m = -4901/20 - -585399/2380. Let y = -1/17 + m. Factor -2/7*q - 6/7*q**3 + 0 + 2/7*q**4 + y*q**2.
2*q*(q - 1)**3/7
Factor 0 - 7*k - 1/2*k**2.
-k*(k + 14)/2
Let a(l) = l + 2. Let k(m) = 4*m**2 + 848*m + 47476. Let y(s) = -24*a(s) - k(s). Find n, given that y(n) = 0.
-109
Let o = -375 - -379. Let y(i) be the second derivative of -3/20*i**5 - 1/2*i**3 - 1/2*i**o + 0 + 11*i + 0*i**2. Factor y(k).
-3*k*(k + 1)**2
Let q = 36 + -34. Suppose 5*o - 100 = -2*l, 3*o = q*l - 10 + 70. Factor -o*j**2 + 0 - 6*j**3 + 20 + 5*j + j**3.
-5*(j - 1)*(j + 1)*(j + 4)
Let m(u) be the second derivative of u**5/70 + 20*u**4/7 + 1200*u**3/7 - 951*u. Suppose m(y) = 0. Calculate y.
-60, 0
Suppose 53 - 35 = 9*c. Let s(r) be the third derivative of -3/20*r**5 + 1/40*r**6 + 3/8*r**4 + 0 + 0*r - 1/2*r**3 - 5*r**c. Find g such that s(g) = 0.
1
Let g(a) be the first derivative of a**6/42 - a**5/7 + a**4/28 + 17*a**3/21 - 11*a**2/7 + 8*a/7 - 165. Factor g(b).
(b - 4)*(b - 1)**3*(b + 2)/7
Let j(n) be the third derivative of -n**5/45 + 13*n**4/18 - 8*n**3 + n**2 - 5. Let j(v) = 0. Calculate v.
4, 9
Let r(n) be the first derivative of 0*n**2 + 0*n**3 + 7*n - 1/18*n**4 + 6 - 1/30*n**5. Let g(m) be the first derivative of r(m). Factor g(y).
-2*y**2*(y + 1)/3
Suppose 11 = 4*x - 29. Factor 5 + 17*f**5 + 10*f**3 - 12*f**5 + 0 + 0 - 15*f**4 + x*f**2 - 15*f.
5*(f - 1)**4*(f + 1)
Let z = -4 + 10. Suppose -n - z = -2*d + 3, 5*d - 27 = 4*n. Solve 10*k - 4 + 2*k**4 + d*k**2 + 2*k**3 + 0*k**3 - 4*k**3 - 9*k**2 = 0 for k.
-2, 1
Let z(p) be the third derivative of p**6/90 + 2*p**5/9 + 11*p**4/6 + 8*p**3 + 89*p**2. Factor z(s).
4*(s + 3)**2*(s + 4)/3
Let v(f) be the third derivative of f**8/112 + 3*f**7/140 - f**6/80 - 3*f**5/40 - f**4/16 - 129*f**2. Suppose v(d) = 0. What is d?
-1, -1/2, 0, 1
Factor -21*t - t**2 + 3*t**2 - 65*t + 267*t - 97*t.
2*t*(t + 42)
Suppose -2*v + 5*p + 34 = 0, 0 = -4*p - 13 - 3. Let j be 2 - 1 - (v - 8). Find l such that -l**j + 1/2*l**3 + 0 + 1/2*l = 0.
0, 1
Let u = -72 - -86. Let d = u - 12. Suppose -g**4 - 2*g + 3/2*g**3 + 0 - 1/2*g**5 + 2*g**d = 0. Calculate g.
-2, 0, 1
Let k be (5 - 1) + (-5 + 0 - -4). Determine u so that 0*u - 2*u**3 + u**3 + 2*u**k - u = 0.
-1, 0, 1
Let -1/3*c**2 + 2*c + 40/3 = 0. Calculate c.
-4, 10
Let t = 3691 - 3689. Factor -4/23*o + 2/23 + 2/23*o**t.
2*(o - 1)**2/23
Let i = 13 + -11. Factor -8*x**4 - 2*x**2 - i*x**2 - 24*x**3 - 24*x**4.
-4*x**2*(2*x + 1)*(4*x + 1)
Let p(x) be the first derivative of 3/2*x**3 - 3/10*x**5 - 10 + 3*x - 15/4*x**2 + 3/8*x**4. Suppose p(t) = 0. Calculate t.
-2, 1
Let d(t) = -t + 9. Let g be d(7). Determine h, given that 8*h**2 - 8*h**3 + 2*h**4 + 3*h**g - 3*h**2 = 0.
0, 2
Let n(d) = 8*d**2 + 6*d + 144. Let w(u) = 3*u**2 + 2*u + 48. Let l(p) = 4*n(p) - 11*w(p). Factor l(k).
-(k - 8)*(k + 6)
Let z(s) = 20*s**3 + 99*s**2 + 9*s + 73. Let b be z(-5). Factor -4/9 + 20/9*x + 4/9*x**5 + 40/9*x**b - 40/9*x**2 - 20/9*x**4.
4*(x - 1)**5/9
Let h = -16 - -22. Let -8*f - h*f - 7*f - 100 - f**2 + f = 0. Calculate f.
-10
Determine h so that -1/3*h**3 - 11/3*h**2 - 28/3 - 32/3*h = 0.
-7, -2
Let k be (-1)/6 + 1048/(-5520). Let f = 1/23 - k. Factor -1/5*u + f - 1/5*u**2.
-(u - 1)*(u + 2)/5
Let s(l) = 8*l**4 + 22*l**3 - 4*l**2 - 70*l + 49. Let k(n) = 9*n**4 + 21*n**3 - 3*n**2 - 69*n + 48. Let b(d) = -5*k(d) + 6*s(d). Factor b(c).
3*(c - 1)**2*(c + 2)*(c + 9)
Let u be (2 - -1) + 3/(-2). Let z(j) be the second derivative of 0 - j**4 - u*j**2 + 5/2*j**3 - j. Factor z(y).
-3*(y - 1)*(4*y - 1)
Let u(p) = p - 1. Let t be u(4). Let w = 36 - 34. Solve -k**t - k**2 + 3*k - w*k**3 - 5*k**2 + 6 = 0 for k.
-2, -1, 1
Solve 12*b**2 - 33*b**2 + 279*b - 28 - 50 = 0 for b.
2/7, 13
Let v(c) = c**2 + 12*c + 25. Let d be v(-2). Let k(o) be the first derivative of 0*o**4 - 5 + 2/35*o**d + 0*o**2 + 0*o - 2/21*o**3. Factor k(a).
2*a**2*(a - 1)*(a + 1)/7
Let b(z) be the first derivative of z**9/1008 - 3*z**7/280 - z**6/60 + 5*z**3 + 23. Let t(y) be the third derivative of b(y). Let t(p) = 0. What is p?
-1, 0, 2
Let k = 90 + -77. Let 48*s - 9*s**5 + 12*s**4 - k*s**5 - 9 - 7 - 44*s**2 + 4*s**3 + 18*s**5 = 0. What is s?
-2, 1, 2
Factor -205 + 8*j + 57 - 90 - 56*j - 2*j**2.
-2*(j + 7)*(j + 17)
Let g(b) be the second derivative of b**7/168 + b**6/120 - 21*b**5/80 - 49*b**4/48 + b**3/3 + 15*b**2/2 + 853*b. Let g(j) = 0. What is j?
-3, -2, 1, 5
Let m(k) be the second derivative of k**4/12 + 4*k**3/3 + 6*k**2 + 13*k + 2. Find l, given that m(l) = 0.
-6, -2
Let r = -68/9 + 358/45. Factor -4/5*v**2 + 4/5*v**3 + r*v**4 - 2/5*v - 2/5*v**5 + 2/5.
-2*(v - 1)**3*(v + 1)**2/5
Let n(h) be the third derivative of -h**6/240 + h**5/120 + h**4/4 + 72*h**2 - 1. Determine g, given that n(g) = 0.
-3, 0, 4
Let l(j) be the first derivative of -12*j**5/5 + 99*j**4/2 - 405*j**3 + 6561*j**2/4 - 6561*j/2 + 687. Factor l(g).
-3*(g - 3)*(2*g - 9)**3/2
Suppose 3/2*a**4 - 27/2*a**3 + 3*a + 9/2*a**5 + 9/2*a**2 + 0 = 0. Calculate a.
-2, -1/3, 0, 1
Let z(a) = -11*a**4 + 96*a**3 + 415*a**2 + 534*a + 226. Let t(v) = -32*v**4 + 287*v**3 + 1245*v**2 + 1603*v + 677. Let m(n) = 6*t(n) - 17*z(n). Solve m(j) = 0.
-2, -1, 22
Let w(v) be the second derivative of 3*v**5/40 + v**4/8 - v**3 - 3*v**2 + 17*v - 3. Solve w(z) = 0.
-2, -1, 2
Let n(p) = -3*p**4 + 33*p**3 + 240*p**2 + 270*p - 9. Let d(w) = w**4 - 8*w**3 - 60*w**2 - 68*w + 2. Let x(l) = -9*d(l) - 2*n(l). Factor x(y).
-3*y*(y - 6)*(y + 2)**2
Suppose 18*g = -90*g + 216. Determine u, given that 1/6*u**3 + 7/6*u**5 - 19/6*u**4 + 23/6*u**g - 4/3*u - 2/3 = 0.
-1, -2/7, 1, 2
Let o(x) be the second derivative of -13*x + 0 + 0*x**2 - 5/12*x**4 + 0*x**3 - 5/42*x**7 + 1/4*x**5 + 1/6*x**6. Factor o(l).
-5*l**2*(l - 1)**2*(l + 1)
Suppose 3*c - 9 = -5*l, -l + 6*l + 5*c = 15. Find i such that l*i**4 + 3*i**4 - 4*i - 2 + 4*i**3 - i**4 = 0.
-1, 1
Let w(k) be the first derivative of 0*k**2 - 6*k - k**3 - 5 