f 1/5*s**4 - 4/15*s**3 + 4/5*s + 13 - b*s**2. Factor o(l).
4*(l - 1)**2*(l + 1)/5
Factor 3*m + 1/2*m**2 + 9/2.
(m + 3)**2/2
Let l be -5*(-12)/(-48)*-4. Determine d, given that 2/3*d**2 + 0 - 2/3*d**4 - 8/3*d**l + 8/3*d**3 + 0*d = 0.
-1, -1/4, 0, 1
Let x(l) be the second derivative of -1/20*l**5 - 3/4*l**4 - 6*l - 9/2*l**3 - 27/2*l**2 + 0. Factor x(m).
-(m + 3)**3
Let s(h) = -343*h**3 + 297*h**2 - 78*h + 11. Let y(o) = 686*o**3 - 593*o**2 + 158*o - 21. Let z(m) = 5*s(m) + 3*y(m). Factor z(x).
(7*x - 2)**3
Let f(s) be the second derivative of s**7/1680 - s**6/240 + s**5/80 + s**4/4 - 10*s. Let y(d) be the third derivative of f(d). Find w such that y(w) = 0.
1
Let g(u) be the first derivative of -5*u**2 + 5/3*u**3 + 5*u + 7. Determine f, given that g(f) = 0.
1
Let j(s) be the third derivative of -s**8/14 + 2*s**7/21 + s**6/10 - 2*s**5/15 + 2*s**2 + 16*s. Solve j(o) = 0 for o.
-2/3, 0, 1/2, 1
Let j(t) be the second derivative of -t**8/2940 + t**6/105 + 4*t**5/105 + t**4/14 + 2*t**3 - 29*t. Let n(r) be the second derivative of j(r). Factor n(d).
-4*(d - 3)*(d + 1)**3/7
Let l(f) be the first derivative of 3/2*f**2 + 3/2*f**4 + 0*f + 0*f**5 + 8/3*f**3 - 37 - 1/6*f**6. What is k in l(k) = 0?
-1, 0, 3
Let l = 41 + -44. Let s(p) = 6*p**2 + 20*p - 8. Let b(w) = -2*w**2 - 7*w + 3. Let n(o) = l*s(o) - 8*b(o). Factor n(r).
-2*r*(r + 2)
Let a(l) be the second derivative of l**4/18 - 64*l**3/9 + 21*l**2 - 200*l - 1. Factor a(g).
2*(g - 63)*(g - 1)/3
Let w(h) = 3*h**5 + 7*h**4 - 9*h**3 + h**2 + 2*h + 4. Let t(g) = -g**5 - g**4 + 2*g**3 - g**2 - 1. Let q(m) = 4*t(m) + w(m). Suppose q(l) = 0. Calculate l.
-1, 0, 1, 2
Find h such that 184/5*h**2 - 48/5*h + 4/5*h**4 - 52/5*h**3 - 288/5 = 0.
-1, 2, 6
Let l(m) be the third derivative of m**8/112 + m**7/70 - m**6/4 - m**5/2 + 9*m**4/8 + 9*m**3/2 - 2*m**2 + 36. Suppose l(f) = 0. Calculate f.
-3, -1, 1, 3
Let t(r) be the third derivative of 7*r**6/240 + 29*r**5/60 + 65*r**4/48 + 7*r**3/6 - 269*r**2. Factor t(x).
(x + 1)*(x + 7)*(7*x + 2)/2
Let n(y) = -237 + 274 - 9*y - 2*y**2 + 0*y. Let f be n(-7). Factor -3/5*j**3 - 3/5*j + 6/5*j**f + 0.
-3*j*(j - 1)**2/5
Let i be (1 - (-28)/(-20))*-5. Determine n, given that 16*n**i + 5*n**4 - 8*n**3 - 2*n**2 - 10*n - 12*n**3 + 11*n**2 = 0.
0, 1, 2
Suppose 2*b - 11/2*b**3 - 12*b**2 - 1/2*b**4 + 16 = 0. Calculate b.
-8, -2, 1
Let q(k) be the third derivative of -1/42*k**3 + 0 - 1/84*k**4 - 1/420*k**5 + 0*k + 9*k**2. Suppose q(m) = 0. Calculate m.
-1
Let i(o) be the first derivative of -o**6/90 + 2*o**4/3 + 5*o**3/3 - 10. Let s(k) be the third derivative of i(k). Suppose s(f) = 0. Calculate f.
-2, 2
Let g(q) be the third derivative of 0 - 1/168*q**8 - 1/10*q**5 + 1/6*q**4 + 0*q - q**2 + 0*q**3 - 1/60*q**6 + 1/35*q**7. Let g(r) = 0. Calculate r.
-1, 0, 1, 2
Let p = 8683/20244 - 1/2892. Find x, given that p*x**2 + 6/7*x + 3/7 = 0.
-1
Let q(i) be the second derivative of 2*i + 0 - 8*i**2 + 2/15*i**6 + i**4 + 11/5*i**5 - 16/3*i**3 - 2/7*i**7. Determine z, given that q(z) = 0.
-1, -2/3, 1, 2
Find m, given that -24/13*m + 8/13 + 10/13*m**2 = 0.
2/5, 2
Let k be (-19)/((-1235)/(-39))*45/(-6). Factor -17/4*s + k*s**3 - 9/4 + 1/2*s**2 - 1/4*s**5 + 7/4*s**4.
-(s - 9)*(s - 1)*(s + 1)**3/4
Factor -2*k + 4/3 + 2/3*k**2.
2*(k - 2)*(k - 1)/3
Let l = 87/19 + -571/133. Determine w so that -8/7*w**2 - 4/7 + l*w**3 + 10/7*w = 0.
1, 2
Let w(i) be the third derivative of i**8/112 - 3*i**7/35 + 13*i**6/40 - 3*i**5/5 + i**4/2 + 113*i**2. Factor w(a).
3*a*(a - 2)**2*(a - 1)**2
Factor 37*s**2 + 33*s**2 - 20*s**3 + 34*s - 75*s**2 - 4*s - 5*s**4.
-5*s*(s - 1)*(s + 2)*(s + 3)
Let q be (-9)/15*(-1 - 4). Suppose q + 9 = 4*a. Find k, given that 38 - 38 - k + 2*k**a - k + 2*k**2 - 2*k**4 = 0.
-1, 0, 1
Let d = 3441 + -3439. Factor -1/3*k**d + 0 + k.
-k*(k - 3)/3
Let g(d) be the third derivative of d**8/1344 - d**7/840 - d**6/120 + d**5/60 - 12*d**2 + 6*d. Factor g(f).
f**2*(f - 2)*(f - 1)*(f + 2)/4
Suppose 3/2*z**4 - z + 1/2*z**3 + 1/2*z**5 + 0 - 3/2*z**2 = 0. What is z?
-2, -1, 0, 1
Suppose -3*r + 4 = -2. Let x = 0 + r. Let 48 + 96*c + 41*c**x + 39*c**2 + 3*c**4 - 3*c**2 + 24*c**3 - 5*c**2 = 0. Calculate c.
-2
Let a = -468/5 + 94. Let s(q) = 56*q - 165. Let v be s(3). Determine o so that a - 4/5*o**2 + 0*o + 0*o**v + 2/5*o**4 = 0.
-1, 1
Let j(c) = 49*c - 8. Let k be j(4). Let h = -931/5 + k. Factor 0*i**2 - 3/5*i**4 + 0 + h*i**3 + 0*i.
-3*i**3*(i - 3)/5
Let b(d) = -d**4 + 26*d**3 - 23*d**2 + 2*d + 2. Let z(f) = 3*f**4 - 105*f**3 + 93*f**2 - 9*f - 9. Let w(u) = 9*b(u) + 2*z(u). Factor w(m).
-3*m**2*(m - 7)*(m - 1)
Find d, given that -75/2*d + 5*d**2 - 90 + 5/2*d**3 = 0.
-3, 4
Let a = -1208 - -1210. Let b(y) be the first derivative of 0*y**4 + 1/15*y**5 + 0*y + 0*y**3 + 0*y**a - 4. Find o, given that b(o) = 0.
0
Let o(c) = 3*c**5 - 4*c**4 - 18*c**3 - 32*c**2 - 23*c - 6. Let i(s) = -s**5 + s**4. Let d(l) = -2*i(l) - o(l). What is j in d(j) = 0?
-1, 6
Let b be 333/45 + (126/(-2))/9. Factor -2/5 + 2/5*l**3 - 2/5*l + b*l**2.
2*(l - 1)*(l + 1)**2/5
Let j(y) be the second derivative of -41*y + 1/8*y**4 + 3/4*y**2 + 0 - 1/2*y**3. Factor j(x).
3*(x - 1)**2/2
Let z(i) be the second derivative of i**5/10 - 7*i**4 + 196*i**3 - 2744*i**2 - i - 5. Solve z(w) = 0 for w.
14
Factor 2/5*q**3 - 12 - 56/5*q**2 - 118/5*q.
2*(q - 30)*(q + 1)**2/5
Let m(y) be the second derivative of y**5/20 - 5*y**4/6 + 7*y**3/6 + 9*y**2 - 5*y - 1. Solve m(g) = 0.
-1, 2, 9
Let j be 9/(324/(-304))*-3. Let z = -301/12 + j. Factor 1/2*l**2 + 0 - z*l**3 + 0*l.
-l**2*(l - 2)/4
Let p(a) = 7*a**2 - 9*a + 8. Let f(h) = 28*h**2 - 15*h**2 - 17*h + 25 - 9 - 2*h. Let c(s) = -3*f(s) + 5*p(s). Solve c(r) = 0 for r.
1, 2
Let l(z) be the third derivative of z**9/3024 + z**8/672 + z**7/504 - 7*z**4/24 + 3*z**2. Let i(u) be the second derivative of l(u). Factor i(p).
5*p**2*(p + 1)**2
Let w be 50/(-20)*(-2 - (-6)/(-15)). Let h(r) be the third derivative of -1/40*r**w + 0*r**3 + 1/8*r**4 + 0*r + 1/20*r**5 + 0 - 4*r**2 - 1/70*r**7. Factor h(c).
-3*c*(c - 1)*(c + 1)**2
Let g(k) be the second derivative of k**5/210 - k**4/6 + 7*k**3/3 + 7*k**2 - 23*k. Let b(m) be the first derivative of g(m). Let b(t) = 0. Calculate t.
7
Let d be (-28)/126 - ((-3842)/(-126) + 0). Let r = d + 31. Factor 2/7*m**4 + 2/7*m**3 - r*m + 0 - 2/7*m**2.
2*m*(m - 1)*(m + 1)**2/7
Let q(j) = -3 - 3*j - 4 + 7 + 15. Let l(d) = -5*d + 31 + 2*d**2 - d**2 - 3*d + d. Let c(r) = 3*l(r) - 7*q(r). Factor c(v).
3*(v - 2)*(v + 2)
Determine s so that 20/3 - 14/3*s - 28/3*s**2 + 2*s**3 = 0.
-1, 2/3, 5
Determine p so that -4/3*p - 10/9 - 2/9*p**2 = 0.
-5, -1
Let q = -68 + 69. Let i be (-10)/20*q/(-2). Factor w - i*w**2 - 1.
-(w - 2)**2/4
Suppose 2/17*q**2 + 16/17*q - 66/17 = 0. What is q?
-11, 3
Let b be 0 + (-4)/(-7) + (6 - 308/49). Suppose 2/7*l**4 - 4/7*l**3 - b + 4/7*l + 0*l**2 = 0. Calculate l.
-1, 1
Let m(l) = l**3 + 17*l**2 - 3*l - 29. Let x be m(-17). Let w be 84/99 - 4/x. Factor 1/3*a**2 + w + a.
(a + 1)*(a + 2)/3
Let g(a) = -a**3 - 3*a**2 + 3*a. Let j be g(-4). Factor -1 - 3 + 8*y**3 + 2*y + j*y**2 + 0 - 10*y**3.
-2*(y - 2)*(y - 1)*(y + 1)
Let r(u) be the second derivative of -u**8/2240 - u**7/84 - u**6/20 + 9*u**5/5 + 19*u**4/6 + 45*u. Let y(w) be the third derivative of r(w). Factor y(v).
-3*(v - 2)*(v + 6)**2
Let o(v) be the second derivative of -v**6/60 + 13*v**5/80 + v**4/2 + v**3/24 - v**2 + 7*v. Solve o(q) = 0.
-1, 1/2, 8
Let d(k) be the second derivative of k**6/135 + 2*k**5/45 - k**4/2 + 38*k**3/27 - 16*k**2/9 - 241*k. Factor d(q).
2*(q - 2)*(q - 1)**2*(q + 8)/9
Suppose 0 = 20*y - 254 + 114. Let b(v) = 0*v**2 + 15*v + 3 + 0*v**2 + 3*v**2. Let c(a) = 2*a**2 + 14*a + 2. Let q(n) = y*c(n) - 6*b(n). Factor q(s).
-4*(s - 1)**2
Let p(k) be the second derivative of -3/4*k**4 + 0 + 3/2*k**3 - 5*k - 3/2*k**2 + 3/20*k**5. Determine t, given that p(t) = 0.
1
Suppose 0 = -15*h - 3 + 18. Let s be h/(-4) + 21/56. Factor -1/8 + 1/8*r**2 + 1/8*r - s*r**3.
-(r - 1)**2*(r + 1)/8
Factor 4*r + 10*r**2 - 5*r**5 + 12*r - 6*r**4 - 11*r - 4*r**4.
-5*r*(r - 1)*(r + 1)**3
Factor 2/9*r**3 + 20/9*r + 0 - 14/9*r**2.
2*r*(r - 5)*(r - 2)/9
Suppose 2*l + 2*v + 2 = 0, 2*l - 3*v - 4 - 19 = 0. Let i be 14/14 - 1/(6/l). Factor -2/3*x + 0 - i*x**2.
-x*(x + 2)/3
Let y be 4/(-22) + (-784)/(-924). Let k be (-1 - (-21)/3) + -3. Factor 0 +