e s so that x(s) = 0.
0, 1
Let s(w) be the second derivative of -w**6/90 + w**5/20 - w**4/18 + 4*w. Factor s(q).
-q**2*(q - 2)*(q - 1)/3
Let q be (-552)/460*((-2)/3 - 1). Solve 0 - 5/3*f**q + f**3 - 2/3*f = 0 for f.
-1/3, 0, 2
Let y(u) be the third derivative of -u**8/1512 + 2*u**7/945 - u**5/135 + u**4/108 - 7*u**2. Solve y(h) = 0 for h.
-1, 0, 1
Let l = 3 - -9. Let y be (-3)/(-1 - (-3)/l). Let -125*u**3 + 98*u**5 - 111*u**3 + 124*u**2 + 34*u**3 + 95*u + 9*u + 16 - 140*u**y = 0. What is u?
-1, -2/7, 1, 2
Suppose 4*g + 2*x = 10, 4 = 4*g + x + 3*x. Find v such that 6*v**3 + 2*v - g*v**3 + v - 2*v**2 + 2*v**4 - 5*v = 0.
-1, 0, 1
Let 22/17*v + 0 - 2/17*v**2 = 0. What is v?
0, 11
Solve -2/11*u**3 + 14/11*u + 0 + 12/11*u**2 = 0 for u.
-1, 0, 7
Let x = 10 - 4. Let t be (0 - 0) + x + -4. Factor -2*o + t*o - o**3.
-o**3
Let w = 2 + 0. Suppose -5*m - j = -w*j - 10, j = 0. Factor 4/7 - 2/7*y**m + 2/7*y.
-2*(y - 2)*(y + 1)/7
Let m(q) = q**2 + q + 3. Let g be m(0). Let s be 5/((-75)/10) + 8/3. Solve -5*r**2 - 12*r**g - 3*r + 3 + 15*r + s*r**2 = 0 for r.
-1, -1/4, 1
Let d(y) = -15*y**4 - 5*y**3 - 5*y. Let v(s) = -8*s**4 - 2*s**3 - 3*s. Let c(j) = 3*d(j) - 5*v(j). Factor c(x).
-5*x**3*(x + 1)
Factor 0 + 4/7*t**5 - 20/7*t**4 + 8/7*t + 36/7*t**3 - 4*t**2.
4*t*(t - 2)*(t - 1)**3/7
Let i(h) be the first derivative of 4*h**5/15 - 2*h**4/3 - 4*h**3/3 + 8*h**2/3 + 16*h/3 + 20. Factor i(j).
4*(j - 2)**2*(j + 1)**2/3
Let p(r) be the first derivative of 2*r**3/15 + r**2 + 8*r/5 - 8. Find n such that p(n) = 0.
-4, -1
Let n be 3*3/((-18)/10). Let y = -3 - n. Factor 2*z - 3*z**4 + z**4 - z**2 + 3*z**2 - y*z**3.
-2*z*(z - 1)*(z + 1)**2
Let z = -735 - -735. Factor -1/5*f**3 + 1/5*f**2 + 0 + z*f.
-f**2*(f - 1)/5
Suppose 5*h - 58 = h + 2*i, 4*i + 64 = 4*h. Suppose 3 = 4*p - h. What is y in -3*y**5 + 8*y - 2*y**5 - y**2 + 4*y**5 - 4 + 2*y**5 + y**p - 5*y**3 = 0?
-2, 1
Let x(v) be the first derivative of -v**5/15 + v**4/12 + v**3/3 - v**2/6 - 2*v/3 + 21. Factor x(n).
-(n - 2)*(n - 1)*(n + 1)**2/3
Let x be 12/(-28) - 3/(-7). Suppose 4*l - 2 - 6 = x. Let 0*p**l + 2*p**2 - 2*p + 2*p**4 - 2*p**3 + 4*p**3 - 4*p**2 = 0. What is p?
-1, 0, 1
Let g(d) = 16*d**3 + 4*d**2 - 10*d + 10. Suppose -34 = 5*m + 66. Let f(r) = 5*r**3 + r**2 - 3*r + 3. Let b(q) = m*f(q) + 6*g(q). Factor b(n).
-4*n**2*(n - 1)
Factor -p**5 + 3*p - 85*p**2 + 91*p**2 + 2*p**5 - 4*p**5 - 6*p**4.
-3*p*(p - 1)*(p + 1)**3
Let v be 36/(-54) - (-2)/3. Let h(s) be the second derivative of 2*s + v*s**3 + 0 + 0*s**2 - 1/10*s**5 - 1/6*s**4. Factor h(u).
-2*u**2*(u + 1)
Suppose -29 = -4*p - q, 2*p - q = q + 12. Suppose 4*b - h = 3 - p, 12 = -2*b + 3*h. Factor -2 - g**2 - g**2 + b*g - g + 5*g.
-2*(g - 1)**2
Let s(p) be the second derivative of p**7/84 - p**6/60 - p**5/8 + p**4/24 + 2*p**3/3 + p**2 - p. Factor s(c).
(c - 2)**2*(c + 1)**3/2
Let p(h) = -5*h**2 - 10*h - 5. Let v(y) = -15*y**2 - 30*y - 15. Let d(m) = -17*p(m) + 6*v(m). Factor d(b).
-5*(b + 1)**2
Let b(t) be the second derivative of t**5/20 - 5*t**4/12 + t**3/2 + 2*t**2 + 2*t. Let r be b(4). Factor 0*q**5 - 2*q + 4*q**3 + r*q - 2*q**5.
-2*q*(q - 1)**2*(q + 1)**2
Let x(q) be the first derivative of -1/9*q**4 + 2/45*q**5 - 2/9*q + 2/9*q**2 + 0*q**3 - 6. Suppose x(a) = 0. What is a?
-1, 1
Suppose 0*o - 42 = -3*f - 3*o, -2*o = -8. Let j be (-48)/(-27) + 4/18. Factor 4*w + f + 4*w - j + 2*w**2.
2*(w + 2)**2
Let m(g) be the second derivative of 0*g**2 + g + 0*g**3 + 0 + 9/20*g**5 - 1/4*g**4. Factor m(k).
3*k**2*(3*k - 1)
Let f(o) be the second derivative of 5*o**4/12 + 10*o**3 + 90*o**2 - 4*o. Factor f(w).
5*(w + 6)**2
Let y = 65 - 26. Let 20*s**3 + 10 + 4*s**4 - 2 + y*s - 11*s + 36*s**2 = 0. What is s?
-2, -1
Let -3/7*m**3 + 0*m**2 + 0 + 3/7*m = 0. What is m?
-1, 0, 1
Factor 1/2*o**2 + 0 + 0*o + 1/4*o**4 - 3/4*o**3.
o**2*(o - 2)*(o - 1)/4
Let j be (-25)/(-10)*3/(-30). Let m = j - -3/4. Suppose m*y**2 - 1/2 + 0*y = 0. Calculate y.
-1, 1
Let j(f) = -2*f**4 - 6*f**3 + 2*f - 3. Let r(a) = -3*a**4 - a**2 + 6*a + 0*a**4 - 3*a - 4 - 6*a**3 - a**3. Let c(m) = -4*j(m) + 3*r(m). Solve c(u) = 0.
0, 1
Let j(h) be the first derivative of -h**3/3 - h**2/2 + 3. Let f(s) = 12*s**2 - 24*s + 6. Let c(x) = f(x) - 3*j(x). Suppose c(t) = 0. What is t?
2/5, 1
Let g(m) be the first derivative of m**5 - 5*m**3 - 5*m**2 - 2. Factor g(n).
5*n*(n - 2)*(n + 1)**2
Let t = 2 - -3. Let f(m) = -m**3 + 6*m**2 - 3*m - 5. Let l be f(t). Let -2/7*k**2 - 2/7*k**l + 0*k + 2/7*k**3 + 2/7*k**4 + 0 = 0. What is k?
-1, 0, 1
Suppose -78*x = -79*x + 5. Let b(s) be the first derivative of 1/18*s**3 - 2 - 1/30*s**x + 1/24*s**4 + 0*s**2 + 0*s - 1/36*s**6. Factor b(i).
-i**2*(i - 1)*(i + 1)**2/6
Let t(m) be the first derivative of 0*m - 5 + 0*m**2 + 1/15*m**5 + 0*m**4 + 0*m**3. Suppose t(i) = 0. What is i?
0
Let x be ((-88)/(-12))/((-2)/(-3)). Let m = x + -8. Let -i**4 + i**m + i**2 - 3*i + 4*i - 2*i**3 = 0. Calculate i.
-1, 0, 1
Let s(f) = -f - 5. Let o be s(-6). Let u be (0 - o)/((-7)/14). Let -2/3*i**3 - 2/3*i - 4/3*i**u + 0 = 0. What is i?
-1, 0
Let v(k) be the first derivative of -1/12*k**3 + 0*k**2 - 1/16*k**4 + 0*k + 1/24*k**6 + 1/20*k**5 + 8. What is h in v(h) = 0?
-1, 0, 1
Let b(z) = -2*z**2 + 4*z. Let x(g) = -3*g - 4*g + g + 5*g. Let h(c) = -b(c) - 4*x(c). Factor h(y).
2*y**2
Let n(g) be the third derivative of -g**10/15120 + g**8/3360 + g**4/8 + 2*g**2. Let u(k) be the second derivative of n(k). Determine s, given that u(s) = 0.
-1, 0, 1
Let b(m) be the second derivative of -m**6/6 - m**5 + 5*m**4/6 + 10*m**3 - 45*m**2/2 - 30*m. Factor b(o).
-5*(o - 1)**2*(o + 3)**2
Let z be ((4 - 7) + 8)*(-8)/(-50). Find u such that 0 - 14/5*u**3 + 8/5*u - 8/5*u**2 - z*u**4 = 0.
-2, 0, 1/2
Suppose 4*v = -3*c - 99 - 82, 3*c + 191 = v. Let k be ((-7)/c)/((-2)/(-66)). Determine x, given that 0 - 2/3*x**2 + 0*x - 7/3*x**5 - 16/3*x**4 - k*x**3 = 0.
-1, -2/7, 0
Let c(x) = -x + 1. Let w(s) = -2*s**2 + 5*s - 3. Let p(k) = 3*c(k) - w(k). Factor p(r).
2*(r - 3)*(r - 1)
Let 8/5*j - 4/5*j**2 - 4/5 = 0. Calculate j.
1
Let k(q) be the second derivative of q**6/165 - q**5/55 + 2*q**3/33 - q**2/11 - q. Let k(y) = 0. What is y?
-1, 1
Let n(j) = 200*j**3 + 631*j**2 - 617*j + 128. Let i(h) = 50*h**3 + 158*h**2 - 154*h + 32. Let g(q) = 9*i(q) - 2*n(q). Solve g(z) = 0.
-4, 2/5
Let x = -3461/2 - -584915/338. Let n = x - -999/845. Solve 2/5*z**3 + 6/5*z + n*z**2 + 2/5 = 0 for z.
-1
Let x(h) = -h + 8. Let f be x(8). Let j = 2 + f. Solve 2*y**2 + y - j*y + 5*y = 0.
-2, 0
Suppose -6 = -2*o - 2. Let r(b) be the second derivative of 1/21*b**3 - 1/7*b**2 + 1/42*b**4 - 1/70*b**5 + o*b + 0. Solve r(d) = 0 for d.
-1, 1
Let d(w) be the second derivative of -w**7/945 + w**6/180 - w**4/27 - 3*w**2/2 - 3*w. Let o(l) be the first derivative of d(l). Factor o(q).
-2*q*(q - 2)**2*(q + 1)/9
Let t(o) = -2*o**3 + 17*o + 15. Let m(h) = h + 1. Let l be (-4)/6*-1*3. Let q(f) = l*t(f) - 22*m(f). What is b in q(b) = 0?
-1, 2
Let n be -6 + 4052/720 - 4/(-10). Let j(s) be the first derivative of 0*s**3 + 3 - 1/15*s**5 - 1/24*s**4 + 0*s - n*s**6 + 0*s**2. Factor j(b).
-b**3*(b + 1)**2/6
Find i such that 2/7*i + 2/7 - 2/7*i**3 - 2/7*i**2 = 0.
-1, 1
Suppose 5*p + 5 = 15. Factor -o**4 - 1/4*o**p - 5/4*o**3 + 0 + 0*o.
-o**2*(o + 1)*(4*o + 1)/4
Let w(h) = -2*h**2 - 4*h - 4*h + 4 - 5*h**2 + h. Let z(g) = 4*g**2 + 4*g - 2. Let r(q) = -6*w(q) - 10*z(q). Suppose r(k) = 0. Calculate k.
-2, 1
Let g(s) be the second derivative of -s**4/21 + 4*s**3/21 + 6*s. Find l, given that g(l) = 0.
0, 2
Let w(b) = b - 3*b**3 + 5*b**5 - 2*b**5 - b**4 + b**5 - 3*b**5 + 2*b**2. Let x(s) = -s**2 + s. Let v(d) = -w(d) - x(d). Factor v(l).
-l*(l - 2)*(l - 1)*(l + 1)**2
Let x(r) = -12*r**4 - 32*r**3 - 15*r + 12*r - 21*r - 44*r**2. Let l(g) = -4*g**4 - 11*g**3 - 15*g**2 - 8*g. Let m(u) = -16*l(u) + 5*x(u). Factor m(q).
4*q*(q + 1)**2*(q + 2)
Suppose 29*w - 31*w - 5*f = -10, 2*f - 4 = -3*w. Find u, given that w + 2/7*u - 2/7*u**2 = 0.
0, 1
Let u = -254 + 257. Factor -1/5*m**4 + 1/5*m - 2/5 + 3/5*m**2 - 1/5*m**u.
-(m - 1)**2*(m + 1)*(m + 2)/5
Let a(t) = 13*t**2 + 14*t + 21. Let l(m) = -7*m**2 - 6*m - 11. Let n(z) = 3*a(z) + 5*l(z). Factor n(p).
4*(p + 1)*(p + 2)
Determine g, given that 2/7*g**2 + 18/7 + 12/7*g = 0.
-3
Let h(o) = o**3 - 2*o**2 + o - 1. Let i be h(2). Let v(a) be the first derivative of 