(o) be the first derivative of 1/2*o**3 + 3/2*o**2 - 3/2*o - 3/4*o**4 - 5. Factor m(y).
-3*(y - 1)*(y + 1)*(2*y - 1)/2
Let f(b) be the second derivative of 2*b**6/105 + 3*b**5/140 - 5*b**4/84 - b**3/14 + b**2/14 + 9*b. Factor f(g).
(g - 1)*(g + 1)**2*(4*g - 1)/7
Let v = 58 - 169/3. Let m be 0 + (-3)/(18/(-4)). Suppose 2/3*k + v*k**2 + 0 - m*k**4 + 1/3*k**3 = 0. Calculate k.
-1, -1/2, 0, 2
Let s(g) = -3*g**2 - 2*g - 7. Let i(f) = -f**2 - f - 3. Let x(j) = -7*i(j) + 3*s(j). Find p such that x(p) = 0.
0, 1/2
Let t(o) be the second derivative of 3*o**5/20 - 6*o. Factor t(p).
3*p**3
Let v(o) = -7*o**5 - 4*o**3 - 7*o + 6. Let n(u) = -2*u**4 - 15*u - 2*u**4 - 9*u**3 - 15*u**5 + 4*u**4 + 13. Let f(x) = -6*n(x) + 13*v(x). Factor f(y).
-y*(y - 1)**2*(y + 1)**2
Let f(w) be the first derivative of -2*w**6/3 + 12*w**5/5 - 2*w**4 - 8*w**3/3 + 6*w**2 - 4*w - 9. Factor f(q).
-4*(q - 1)**4*(q + 1)
Let t(x) = 4*x**3 - 4*x - 2. Let o(q) = -q - 2. Let y be o(-8). Let f = y - 7. Let b(n) = -n**3 + n**2 + n. Let h(u) = f*t(u) - 2*b(u). Factor h(r).
-2*(r - 1)*(r + 1)**2
Let 10/3 - 20/3*j**2 - 10*j**3 + 10/3*j**4 + 5*j + 5*j**5 = 0. Calculate j.
-1, -2/3, 1
Factor 9*w**4 - 27*w**5 - 17*w**2 + 30*w**5 - 3*w**3 + 8*w**2.
3*w**2*(w - 1)*(w + 1)*(w + 3)
Let v be 132/70 + 0 + 64/(-224). Find z such that 8/5*z + 2/5*z**2 + v = 0.
-2
Let k(n) be the second derivative of -n**7/42 + n**6/30 + n**5/20 - n**4/12 + 4*n. Factor k(u).
-u**2*(u - 1)**2*(u + 1)
Let m(s) be the second derivative of 2/3*s**3 + s**2 - 4*s + 0 + 1/6*s**4. Determine f, given that m(f) = 0.
-1
Let c(o) be the first derivative of -o**3 - 3/2*o**2 + 2 + 6*o. Let c(s) = 0. What is s?
-2, 1
Suppose 4*z = 3*z + 4. Suppose 0 + 0*y - 1/2*y**5 + 1/2*y**2 + 3/2*y**z - 3/2*y**3 = 0. Calculate y.
0, 1
Let l(s) = 3*s**4 + 4*s**3 - 2*s**2 - 5*s + 5. Suppose 0 = -i + 5*i + 12. Let o(c) = 2*c**4 + 2*c**3 - c**2 - 3*c + 3. Let r(n) = i*l(n) + 5*o(n). Factor r(h).
h**2*(h - 1)**2
Let s be 3/(-6) - 2/(-4). Factor s - 2/3*a**2 + 0*a.
-2*a**2/3
Let t(s) be the first derivative of -1 - 7/4*s**2 - 4/3*s**3 - 3/8*s**4 - s. Find o, given that t(o) = 0.
-1, -2/3
Determine l, given that 0 + 1/2*l + 1/4*l**2 = 0.
-2, 0
Let q(b) be the first derivative of -b**5/20 + b**3/6 - b/4 - 2. Factor q(p).
-(p - 1)**2*(p + 1)**2/4
Let q = -60 - -63. Suppose 0*r - 1/4*r**q + 0 - 1/4*r**2 = 0. What is r?
-1, 0
Let j(d) be the second derivative of 27*d**6/10 - 261*d**5/10 + 217*d**4/3 - 52*d**3 + 16*d**2 + 39*d. Let j(i) = 0. What is i?
2/9, 2, 4
Let f(l) be the first derivative of 2*l**3/21 - 6*l**2/7 + 18*l/7 - 27. Factor f(a).
2*(a - 3)**2/7
Suppose 4*u - 16 = -0*u. Let r(d) = -d**3 + 4*d**2 + 3. Let f be r(u). Factor v**4 + v**f - v**2 - 5*v**5 + v**5 + 3*v**5.
-v**2*(v - 1)**2*(v + 1)
Let k(b) be the third derivative of -1/12*b**4 + 0*b**3 + 0*b + 7/120*b**6 + 1/12*b**5 + 3*b**2 + 0. Factor k(d).
d*(d + 1)*(7*d - 2)
Let j(y) be the second derivative of -y**7/336 - y**6/48 - 7*y**5/160 + y**4/96 + y**3/6 + y**2/4 + 18*y - 1. What is f in j(f) = 0?
-2, -1, 1
Let z(u) be the third derivative of -u**8/56 + u**7/14 - u**6/20 - u**5/5 + u**4/2 - u**3/2 - 15*u**2. Suppose z(b) = 0. Calculate b.
-1, 1/2, 1
Let d = -6 + 8. Let q = 498 - 498. Factor q*p**d - 3/5*p**3 + 0 + 3/5*p.
-3*p*(p - 1)*(p + 1)/5
Let g(f) be the second derivative of f**7/21 + 7*f**6/45 + f**5/6 + f**4/18 - f. Find v such that g(v) = 0.
-1, -1/3, 0
Let c be 57/117 - (-6)/(-39). Let i = -197/3 + 66. Factor c*n**3 - i*n**2 + 1/3 - 1/3*n.
(n - 1)**2*(n + 1)/3
Determine l so that -8/5*l**3 + 2/5*l**4 + 2*l**2 - 4/5*l + 0 = 0.
0, 1, 2
Let q(r) be the second derivative of -r**7/1260 + r**6/360 - r**4/6 - 3*r. Let u(b) be the third derivative of q(b). Suppose u(x) = 0. Calculate x.
0, 1
Let q be 1/10 - 27/(-18). Suppose 8/5*y**3 + 2/5 + q*y + 2/5*y**4 + 12/5*y**2 = 0. What is y?
-1
Find b such that -3*b**2 - 507 + 23*b + 13*b + 42*b = 0.
13
Let j be (14 - 12)*(0 + 1)*2. Let o(q) be the third derivative of -1/240*q**6 + 0*q**3 + 0*q + 0 + 3*q**2 + 0*q**5 + 0*q**j. Solve o(w) = 0 for w.
0
Determine v so that -8/5*v**3 + 0 + 84/5*v**4 + 36/5*v**5 - 16*v**2 - 32/5*v = 0.
-2, -2/3, 0, 1
Factor -1/4*k**3 + 1/4*k + 1/2*k**2 - 1/2.
-(k - 2)*(k - 1)*(k + 1)/4
Solve 9/5*j**2 + 9/5 + 6*j = 0.
-3, -1/3
Suppose -3*o + 9 = -0*o. Factor 0*a**2 + 0*a + a - a**2 - 1 + 2*a**2 - a**o.
-(a - 1)**2*(a + 1)
Let r(f) = -f**2 + 1. Let z(g) = g**2 + 8*g - 18. Let h(p) = -p + 9. Let q be h(7). Let b(l) = q*r(l) + z(l). Suppose b(a) = 0. Calculate a.
4
Let h = -27/2 + 193/14. Factor -2/7*u**4 - 12/7*u**3 - 32/7 - h*u**2 + 48/7*u.
-2*(u - 1)**2*(u + 4)**2/7
Let t(l) be the first derivative of -l**7/42 + l**6/15 - l**4/6 + l**3/6 - 3*l + 9. Let w(u) be the first derivative of t(u). Determine g, given that w(g) = 0.
-1, 0, 1
Let f(b) = -2*b**5 + 2*b**4 - 6*b**2 + 4*b. Let z(i) = 2*i**5 - i**4 + 7*i**2 - 5*i. Let v(p) = -6*f(p) - 4*z(p). Factor v(h).
4*h*(h - 1)**3*(h + 1)
Let w be -6 + 648/45 + -8. Find u, given that -w*u**2 + 16/5*u - 6/5*u**3 - 8/5 = 0.
-2, 2/3, 1
Let t(k) be the third derivative of k**5/30 - k**4/6 - 3*k**2. Determine i so that t(i) = 0.
0, 2
Suppose -7*f = -8 - 20. Factor -45*j**3 + 12*j**3 - 4*j**f - 16*j**2 + 17*j**3.
-4*j**2*(j + 2)**2
Let d = 196/3 + -64. Factor -4/3*a + 2/3*a**2 - 2/3 + d*a**3.
2*(a - 1)*(a + 1)*(2*a + 1)/3
Let d(h) be the first derivative of -h**3 + 3*h + 21. Factor d(s).
-3*(s - 1)*(s + 1)
Let l = -243/2 + 122. Factor 0*d**2 - l*d**3 + 1/2*d + 0.
-d*(d - 1)*(d + 1)/2
Let d = 954/11 - 8377/99. Let l = -77/45 + d. Determine z, given that 0*z - 2/5*z**2 + l = 0.
-1, 1
Factor -4 - 2*y**2 + 3*y**4 + 4*y**2 + 6*y**3 - 6*y - y**4.
2*(y - 1)*(y + 1)**2*(y + 2)
Let a(k) = -k**3 + 2*k**2. Let z be a(2). Let q(b) be the second derivative of z + b - 1/6*b**3 + 7/40*b**5 + 0*b**2 - 5/24*b**4. Factor q(m).
m*(m - 1)*(7*m + 2)/2
Let b(i) = i**2 - 13*i + 26. Let d be b(11). Suppose 5*g = 2*g + 6. Factor d*c**2 - g*c**2 + c**2 - c**2 + 2*c**3.
2*c**2*(c + 1)
Solve 15*b**2 - 15*b**4 + 45/2*b - 20*b**3 - 5/2*b**5 + 0 = 0.
-3, -1, 0, 1
Let r(c) be the second derivative of -c**5/480 - c**4/64 + 3*c**2/2 + 5*c. Let j(q) be the first derivative of r(q). Factor j(z).
-z*(z + 3)/8
Let m be -4 - 2*46/(-20). Let a be (-9)/(-15) - 14/35. Factor -2/5 - a*o + m*o**2.
(o - 1)*(3*o + 2)/5
Factor 8/7*p - 2/7*p**3 - 8/7 + 2/7*p**2.
-2*(p - 2)*(p - 1)*(p + 2)/7
Let w = -194/15 - -40/3. Let d(j) = -j**2 + 6*j - 6. Let n be d(4). Factor -2/5*p**n + 2/5 + 2/5*p - w*p**3.
-2*(p - 1)*(p + 1)**2/5
Let n = -156 - -313/2. Let r(h) be the third derivative of 0*h**5 - 1/20*h**6 + 1/4*h**4 + n*h**3 - 3*h**2 + 0 - 1/70*h**7 + 0*h. Factor r(w).
-3*(w - 1)*(w + 1)**3
Suppose 3*u - 40 = -2*u. Suppose -3*f + u*f = 0. Suppose 1/3*g**2 + 1/3*g**3 + 0*g + f = 0. Calculate g.
-1, 0
Let l = 0 + -15. Let f be (-2)/(-20) + (-6)/l. Find z such that 1/2*z**2 - f + 1/4*z**3 - 1/4*z = 0.
-2, -1, 1
Let h = 437 - 435. Suppose 3/2 - 3/4*o - 3/4*o**h = 0. Calculate o.
-2, 1
Let r be 8/3 - (-4)/(-6). Determine f, given that -4*f**4 + 2*f**3 - r*f**3 - 3*f**3 + f**4 = 0.
-1, 0
Let y(q) be the third derivative of -q**7/945 + 4*q**5/135 - 16*q**3/27 - 61*q**2. Factor y(f).
-2*(f - 2)**2*(f + 2)**2/9
Let f(z) be the second derivative of z**6/360 + z**5/180 - z**4/36 + 3*z**2/2 + z. Let v(i) be the first derivative of f(i). What is l in v(l) = 0?
-2, 0, 1
Let z(c) be the first derivative of -3/4*c**4 - 9*c + 15/2*c**2 - c**3 - 3. Factor z(f).
-3*(f - 1)**2*(f + 3)
Suppose 2*b - 4*p = 24, 4*b + 0*p = -3*p + 4. Let o(h) be the first derivative of 1 - 1/18*h**b + 0*h**2 + 0*h**3 + 0*h. Factor o(k).
-2*k**3/9
Solve 0*t**3 + 2/15*t**5 + 0 - 2/15*t - 4/15*t**2 + 4/15*t**4 = 0.
-1, 0, 1
Let f(p) be the first derivative of 4/15*p**5 - 3 + 0*p - 7/6*p**4 - 4/9*p**3 + 7/9*p**6 + 0*p**2. Find o, given that f(o) = 0.
-1, -2/7, 0, 1
What is v in -2/3*v**2 + 5/3*v**3 - v**5 + 0*v + 4/3*v**4 + 0 = 0?
-1, 0, 1/3, 2
Find q such that -5*q + 7*q + 2*q**3 + 0*q + 4*q**2 = 0.
-1, 0
Let d(m) be the first derivative of -729*m**5/20 - 243*m**4/8 - 9*m**3 - m**2 + 6. Suppose d(v) = 0. Calculate v.
-2/9, 0
Let t be 0 - (-1 + -2 + 0). Let d be 46*(-3)/(-42) - t. Find n such that -d*n**5 - 2/7*n - 4/7*n**2 + 2/7*n**4 + 4/7*n**3 + 2/7 = 0.
-1, 1
Let b be (-1)/((-3