 2/5*o**3 + 0 = 0. Calculate o.
-1/2, 0, 1
Let a(f) be the second derivative of -5*f**4/72 - 5*f**3/12 - 5*f**2/6 + 9*f. Solve a(i) = 0.
-2, -1
Let l(q) = q**3 + 6*q**2 - 8*q + 1. Let u be l(-7). Suppose -5*f + 0*f + 19 = 2*j, -4*f + u = -2*j. Factor 5/2*i - 1 + 7/2*i**j.
(i + 1)*(7*i - 2)/2
Let f(t) be the second derivative of -1/2*t**3 - 1/2*t**4 + t + 0*t**2 + 0 - 3/20*t**5. Let f(g) = 0. Calculate g.
-1, 0
Let p(r) = 7*r - 2. Let o be p(3). Suppose 1 = -3*t + o. Suppose w**4 - 3*w**2 - 2*w - t*w**4 - 2*w**4 + 12*w**3 = 0. Calculate w.
-2/7, 0, 1
Let s(f) be the third derivative of -f**5/60 - f**4/6 - 2*f**3/3 - 2*f**2. Factor s(y).
-(y + 2)**2
Let n(j) = j**2 - 10*j. Let p be n(10). Factor p*o**3 + 7*o + 18*o**2 + 8 + 12*o**2 + 9*o**3 + 21*o.
(o + 2)*(3*o + 2)**2
Let c = 4 - 1. Factor -c + 27*b**4 - 4 + 4 - 3*b**3 + 18*b - 24*b**2 - 15*b**3.
3*(b - 1)*(b + 1)*(3*b - 1)**2
Factor 0 + 5/2*f**2 + 45/2*f.
5*f*(f + 9)/2
Let r(w) = 4*w**4 + 3*w**3 + w**2 - 57*w - 23. Let a(y) = -2*y**4 - 2*y**3 + 28*y + 12. Let l(t) = 9*a(t) + 4*r(t). Factor l(h).
-2*(h - 2)*(h + 1)*(h + 2)**2
Suppose 5*l + 3*s = -1 + 10, -2*s = -l + 7. Suppose 0 = n - 0*p + l*p - 12, -18 = -2*n - 4*p. Factor c**3 - 2*c**2 - 3 + c + n.
c*(c - 1)**2
Let v(g) be the second derivative of 0 - 1/40*g**5 + 0*g**3 + 0*g**2 - 1/24*g**4 - g. Factor v(a).
-a**2*(a + 1)/2
Let r(h) = h**3 + 9*h**2 + 8*h + 4. Let p be r(-8). Factor 194*w**2 + 12 + 478*w**2 - 144*w - 69*w**2 - 73*w**5 - 170*w**5 + 837*w**p - 1065*w**3.
-3*(w - 1)**3*(9*w - 2)**2
Let t(b) be the third derivative of 0*b - 1/48*b**4 - 1/240*b**5 - 5*b**2 + 0*b**3 + 0. Factor t(w).
-w*(w + 2)/4
Let x(w) be the first derivative of w**5 - 5*w**4/4 - 18. Factor x(y).
5*y**3*(y - 1)
Let v(k) be the third derivative of 1/5*k**6 - 5/8*k**4 + 0*k + k**3 + 0 + 3*k**2 - 3/20*k**5 + 2/35*k**7. Suppose v(o) = 0. Calculate o.
-2, -1, 1/2
Factor -3 + 5*f**2 + 10*f**2 - 12*f**2 + 3*f - 3*f**3.
-3*(f - 1)**2*(f + 1)
Let u be 3 + (0 - (-3 - -3)). Let j(d) be the first derivative of -1/2*d**2 + 0*d - 2 + 1/3*d**u. Factor j(v).
v*(v - 1)
Let y(v) be the second derivative of -v**9/3024 - v**8/840 + v**6/180 + v**5/120 + v**3/6 + 3*v. Let p(a) be the second derivative of y(a). Factor p(q).
-q*(q - 1)*(q + 1)**3
Let k(j) be the first derivative of -3*j**4/14 + 16*j**3/21 - j**2 + 4*j/7 + 9. Determine p, given that k(p) = 0.
2/3, 1
Suppose -45 - 131 = -4*v. Let u be 7/12 + (-11)/v. Factor -1/3*y + 1/3*y**2 - u + 1/3*y**3.
(y - 1)*(y + 1)**2/3
Suppose o - 3*o + 10 = 0. Let p be (-3)/1 - (-35)/o. Factor 0*v**3 + 2*v**p - v + 3*v**2 - 5*v**2 + v**5 + 0*v**3.
v*(v - 1)*(v + 1)**3
Let n(t) be the first derivative of t**4/4 - t**3/3 - t**2/2 + t - 4. Let n(u) = 0. What is u?
-1, 1
Let b(h) be the first derivative of 2*h**3/15 - 2*h**2/5 + 6. Factor b(j).
2*j*(j - 2)/5
Let j(d) be the third derivative of d**5/12 + 5*d**4/24 + 14*d**2. Determine c so that j(c) = 0.
-1, 0
Let y be 3 - 8/(-48)*30/(-4). Suppose -y*n**4 + 3/4*n**2 + 4*n**3 + 1 - 4*n = 0. What is n?
-1, 2/7, 1, 2
Let d(k) be the third derivative of -k**8/1176 - k**7/245 - k**6/140 - k**5/210 + k**3/6 - k**2. Let b(a) be the first derivative of d(a). Factor b(r).
-2*r*(r + 1)**2*(5*r + 2)/7
Let v(q) = q. Let z be v(14). Let y = -9 + z. Suppose -4/9*t**2 + 2/9*t**4 + 4/9*t**3 + 2/9 - 2/9*t - 2/9*t**y = 0. What is t?
-1, 1
Let p = 3 + 0. Factor 0*k**5 - 10*k**3 - 2*k**p + 3*k**3 - 3*k**2 - 3*k**5 - 9*k**4.
-3*k**2*(k + 1)**3
Let i(x) be the third derivative of x**8/1008 - x**7/630 - x**6/180 + x**5/90 + x**4/72 - x**3/18 - 70*x**2. Suppose i(l) = 0. Calculate l.
-1, 1
Let w be (-2 - -1) + 39/26. Let r be 4/1 + 6/(-4). Let -r*t**4 + 0*t**2 + 2*t**5 + 0*t + w*t**3 + 0 = 0. Calculate t.
0, 1/4, 1
Let q = 1 + 0. Let b(j) = j + 4*j**4 - 3*j**2 + j**2 + j**5 + j + 3*j**3. Let y(z) = -z**4 - z**3 + z**2 - z. Let r(a) = q*b(a) + 2*y(a). Factor r(p).
p**3*(p + 1)**2
Suppose 1/2 - 1/4*c**2 + 1/4*c = 0. What is c?
-1, 2
Let m(r) = 25*r**5 - 25*r**4 - 5*r**3 + 5*r**2 - 20*r + 20. Let d(l) = -l**5 + l**4 + l - 1. Let t(j) = 20*d(j) + m(j). Solve t(g) = 0.
-1, 0, 1
Let s(d) = 8*d**4 + 6*d**3 - 3*d**2 + 2*d + 3. Let o(a) = -a**5 - a**2 + a + 1. Let v be 2/2*(-1 + -5). Let h(r) = v*o(r) + 2*s(r). Factor h(n).
2*n*(n + 1)**3*(3*n - 1)
Suppose -2*x = x + 5*c - 34, 6 = -3*x + 3*c. Find f such that 0*f + 2/3*f**x - 2/3*f**5 + 0 + 2/3*f**2 - 2/3*f**4 = 0.
-1, 0, 1
Let s(l) = 5*l**2 - 9*l - 14. Let v(r) = -4*r**2 + 10*r + 14. Let m(p) = 5*s(p) + 6*v(p). Solve m(d) = 0 for d.
-14, -1
Let a be (-2288)/(-385) + 4/(-5) + -5. Factor 1/7*p**2 + a*p + 0.
p*(p + 1)/7
Let k be (15/25)/(2/10). Factor -r**5 + 3*r**3 + r**3 - k*r**3.
-r**3*(r - 1)*(r + 1)
Let v(b) = b**3 + 9*b**2 + 9*b + 8. Let h be v(-8). Suppose 3*s + h*s - 6 = 0. What is l in l**4 - l**5 - 2*l**2 - l + l**2 + 1 - l**2 + s*l**3 = 0?
-1, 1
Let z(o) be the second derivative of o**4/42 - o**3/21 + 4*o. Factor z(p).
2*p*(p - 1)/7
Determine z so that -2*z + 6/7 + 10/7*z**2 - 2/7*z**3 = 0.
1, 3
Solve 0*k - 4/3 + k**2 - 1/3*k**3 = 0 for k.
-1, 2
Suppose 4*y = 19 - 7. What is v in 0 + 1/4*v**5 + 3/4*v**y + 3/4*v**4 + 0*v + 1/4*v**2 = 0?
-1, 0
Solve 8/3*t**4 - 8/3*t**2 + 0 + 4/3*t**3 + 0*t - 4/3*t**5 = 0 for t.
-1, 0, 1, 2
Let u(a) = 12*a**2 + 25*a + 13. Let c(o) = -12*o**2 - 26*o - 14. Let i(l) = 4*c(l) + 5*u(l). Factor i(s).
3*(s + 1)*(4*s + 3)
Let u(j) be the first derivative of 0*j + 1/60*j**5 + 0*j**4 + 1/2*j**2 - 1 - 1/6*j**3. Let l(v) be the second derivative of u(v). Let l(y) = 0. What is y?
-1, 1
Let k be (12/(-8))/(2/(-4)). Let t be (((-12)/(-10))/k)/1. Factor 4/5*d**2 - d - 1/5*d**3 + t.
-(d - 2)*(d - 1)**2/5
Let b(d) be the second derivative of -d**4/54 - 8*d**3/27 - 16*d**2/9 - 3*d. Factor b(g).
-2*(g + 4)**2/9
Suppose 4/7*z + 6/7*z**2 + 0 - 18/7*z**3 = 0. Calculate z.
-1/3, 0, 2/3
Suppose 14 = 4*q - 2*x, -4*q + 2 = 5*x - 5. Let p(b) = 2*b**3 - 6*b**2 + 2*b + 2. Let g(n) = 2*n**3 - 6*n**2 + 3*n + 1. Let r(l) = q*p(l) - 4*g(l). Factor r(d).
-2*(d - 1)**3
Let z(q) be the third derivative of q**8/3360 - q**7/3150 - q**6/360 + q**5/150 + q**4/8 + q**2. Let v(f) be the second derivative of z(f). Factor v(o).
2*(o - 1)*(o + 1)*(5*o - 2)/5
Suppose -9 = 82*v - 85*v. Factor -2/9*w**v + 2/9*w**2 + 0 + 0*w.
-2*w**2*(w - 1)/9
Suppose 13 = y - 5*p - 13, 2*y + 5*p = 22. Let k = 18 - y. Factor 0 + 1/2*s**k - 1/4*s**3 - 1/4*s.
-s*(s - 1)**2/4
Suppose 5*z + 7 = 6*z. Let h(l) be the second derivative of 1/60*l**4 + 0 - 1/150*l**6 + 1/100*l**5 + 0*l**2 - 1/210*l**z - 3*l + 0*l**3. Factor h(b).
-b**2*(b - 1)*(b + 1)**2/5
Let x(q) = 22*q**4 - 178*q**3 + 530*q**2 - 614*q + 250. Let v(m) = -7*m**4 + 59*m**3 - 177*m**2 + 205*m - 83. Let d(y) = 10*v(y) + 3*x(y). Factor d(a).
-4*(a - 10)*(a - 2)*(a - 1)**2
Let o(s) be the first derivative of s**6/24 + 3*s**5/20 + s**4/16 - s**3/4 - s**2/4 - 29. Suppose o(d) = 0. Calculate d.
-2, -1, 0, 1
Suppose 3*u + 17 = 5*t - 4, -4*t + 22 = -5*u. Factor 0*q + 1/4*q**5 + 0 + 1/4*q**2 - 1/4*q**4 - 1/4*q**t.
q**2*(q - 1)**2*(q + 1)/4
Let z(u) = -u**3 - 7*u**2 + 2*u + 16. Let p be z(-7). Let y be (-3)/p*16/(-6). Find w such that 1/6*w**y + 0 - 1/6*w**3 - 1/6*w**2 + 1/6*w = 0.
-1, 0, 1
Let -s - s**4 + s**3 + 5*s**4 + 0*s**2 + s**2 - 5*s**4 = 0. What is s?
-1, 0, 1
Let g be 152/20 + 6/(-10) + -2. Let y(a) be the third derivative of -1/4*a**4 + 1/2*a**3 + 4*a**2 + 0*a + 1/20*a**g + 0. Factor y(d).
3*(d - 1)**2
Let h(t) be the third derivative of t**7/70 + t**6/20 + t**5/20 + 12*t**2. Determine p so that h(p) = 0.
-1, 0
Let k(i) be the first derivative of i**6/14 + 18*i**5/35 + 9*i**4/7 + 10*i**3/7 + 9*i**2/14 - 20. Factor k(a).
3*a*(a + 1)**3*(a + 3)/7
Suppose 2*z + 14 = 2*n, -2*n - 5*z - 7 = -0*z. Let c(v) be the third derivative of 0 + 1/240*v**6 + 0*v**3 + 1/24*v**n + 1/40*v**5 + 0*v - 2*v**2. Factor c(a).
a*(a + 1)*(a + 2)/2
Let s(c) be the second derivative of c + 0*c**3 - 1/6*c**4 + 0 - 1/10*c**5 + 0*c**2. Let s(t) = 0. What is t?
-1, 0
Factor -360*m**2 - 75 - 320*m - 5 - 35*m**4 + 170*m**4.
5*(m - 2)*(3*m + 2)**3
Suppose 3 - 6 = -3*l. Let d(h) = -h**3 + 14*h**2 + 15*h + 3. Let y be d(15). Solve 5*k**4 + l - 1 - 2*k**2 + y*k**3 = 0.
-1, 0, 2/5
Let l(w) be the third derivative of w**5/510 + w**4/68 - 10*w**2. What is y in l(y) = 0?
-3, 0
Let p(c) 