).
-2*(l - 1)*(l + 1)*(l + 2)/5
Factor 0*s - 1/5 + 1/5*s**2.
(s - 1)*(s + 1)/5
Suppose -2/5*q**3 + 2/5*q + 4/5*q**2 - 4/5 = 0. What is q?
-1, 1, 2
Let c be (-10)/(-36) - (104/18 + -6). Factor 2*g - 2 - c*g**2.
-(g - 2)**2/2
Factor 3*q**2 - 3*q - 2 - 34*q**3 - 41*q**3 + 77*q**3.
(q - 1)*(q + 2)*(2*q + 1)
Let d(a) be the first derivative of a**8/5040 - a**7/2520 + a**3/3 - 2. Let r(c) be the third derivative of d(c). Find g such that r(g) = 0.
0, 1
Let a(w) = 2*w**4 - 6*w**3 + 3*w**2 + w. Let z(b) = -4*b**4 + 12*b**3 - 7*b**2 - b. Let l = 0 - 1. Let g be 4*l/4*5. Let p(s) = g*a(s) - 3*z(s). Factor p(m).
2*m*(m - 1)**3
Let n be 48/9*(23/10 - 2). Factor 2/5*h**2 + n*h + 8/5.
2*(h + 2)**2/5
Let w(q) be the first derivative of 19*q**3/3 + 9*q**2 + 6*q - 2. Let z(t) = 13*t**2 + 12*t + 4. Let k(s) = -5*w(s) + 7*z(s). Let k(j) = 0. Calculate j.
-1, -1/2
Let j(m) be the third derivative of m**8/1848 - 2*m**7/1155 + m**6/660 + 8*m**2. Factor j(q).
2*q**3*(q - 1)**2/11
Let r = 161 - 156. Determine g, given that -1/2*g**r + 0 - g**4 + 0*g**3 + g**2 + 1/2*g = 0.
-1, 0, 1
Let q be (-2)/10 + (-11)/(-5). Let p(s) be the first derivative of s**q - 1/3*s**3 - s - 3. Factor p(n).
-(n - 1)**2
Let p(i) be the first derivative of 2/15*i**3 - 1/5*i**4 - 2/25*i**5 + 2/5*i**2 - 1 + 0*i. Factor p(f).
-2*f*(f - 1)*(f + 1)*(f + 2)/5
Let -5/6*r**2 + 0 - 1/6*r**4 + 2/3*r**3 + 1/3*r = 0. Calculate r.
0, 1, 2
Let y(s) = -s**2 + 3*s. Let f be y(3). Factor 0*o**4 + 0*o**4 + f*o**3 + o**4 - o**3.
o**3*(o - 1)
Let a(b) be the first derivative of b**7/126 - b**5/20 - b**4/18 + 2*b - 1. Let x(v) be the first derivative of a(v). Suppose x(c) = 0. Calculate c.
-1, 0, 2
Let o(d) be the second derivative of -2*d**7/21 + 2*d**6/5 - 4*d**4/3 - 22*d. Find b, given that o(b) = 0.
-1, 0, 2
Let g be (-4)/20 - (-89)/(-5). Let f be g/24 - 11/(-4). Let -1/5*j**3 + 3/5*j + 0*j**f - 2/5 = 0. What is j?
-2, 1
Let b(u) be the first derivative of u**5/30 - u**3/3 + 3*u**2/2 - 8. Let k(m) be the second derivative of b(m). What is j in k(j) = 0?
-1, 1
Let t(v) be the second derivative of v**5/120 - 27*v. Factor t(f).
f**3/6
Let d(b) be the first derivative of b**5/20 + 3*b**4/16 - b**3/4 - 11*b**2/8 - 3*b/2 - 38. Factor d(v).
(v - 2)*(v + 1)**2*(v + 3)/4
Factor 10*o - 2*o**2 + 68*o**4 - 32*o**5 + 2 - 8*o**2 - 50*o**3 + 12*o**4.
-2*(o - 1)**3*(4*o + 1)**2
Let d(q) = 2*q**5 + 3*q**4 - 5*q**3 - 7*q**2 + 9*q + 1. Let t(g) = 2*g**5 + 4*g**4 - 4*g**3 - 8*g**2 + 10*g. Let z(u) = 4*d(u) - 3*t(u). Factor z(m).
2*(m - 2)*(m - 1)*(m + 1)**3
Let b(d) be the third derivative of -1/6*d**3 + 1/12*d**4 - 1/60*d**5 + 0 + 0*d + 3*d**2. Factor b(q).
-(q - 1)**2
Factor 0*s - 1/4*s**2 + 1/4*s**3 + 0.
s**2*(s - 1)/4
Suppose 5*f + 5*a = -60 + 140, -2*f + a = -17. Suppose 5*b - f = -5*j - 36, 5*b = -4*j - 25. Factor 6/13*q**2 - 8/13 + j*q - 2/13*q**3.
-2*(q - 2)**2*(q + 1)/13
Let x(v) = -v + 7. Let q be x(7). Let -4*r**2 + 3*r**5 + 3*r**5 + 6*r**3 - 5*r**5 - 4*r**4 + q*r**4 + r = 0. Calculate r.
0, 1
Factor -2/3 - 4/3*f + 4/3*f**3 + 2/3*f**4 + 0*f**2.
2*(f - 1)*(f + 1)**3/3
Let k(m) be the second derivative of -5*m**7/14 + 7*m**6/10 + 27*m**5/10 - 7*m**4 + 4*m**3 + 26*m. Solve k(y) = 0 for y.
-2, 0, 2/5, 1, 2
Let j be (8/20)/(18/10). Solve 2/9*v**2 + 0*v - j = 0.
-1, 1
Factor -8*w + 35*w**2 + 8*w**3 - 7*w**2 + 13*w**4 - 41*w**4.
-4*w*(w - 1)*(w + 1)*(7*w - 2)
Let f(m) be the first derivative of 5*m**3/3 - 5*m**2/2 - 10*m + 51. Suppose f(b) = 0. What is b?
-1, 2
Let y = 13/2 - 6. Solve a - 1/2*a**2 - y = 0.
1
Let q(u) = -4 + u - 8 + 16. Let t be q(-2). Factor 26/7*x**3 + 0 - 24/7*x**4 - 12/7*x**t + 2/7*x + 8/7*x**5.
2*x*(x - 1)**2*(2*x - 1)**2/7
Let n(u) be the second derivative of -2*u**6/15 + 7*u**5/5 - 8*u**4/3 - 32*u**3/3 + 7*u - 1. Let n(g) = 0. Calculate g.
-1, 0, 4
Let k(g) be the first derivative of -g**6/135 - g**5/45 + g**4/54 + 2*g**3/27 + 3*g - 2. Let w(t) be the first derivative of k(t). Factor w(j).
-2*j*(j - 1)*(j + 1)*(j + 2)/9
Let b(j) be the first derivative of -3/2*j**2 + 2/3*j**3 - 2 - 2*j. Factor b(r).
(r - 2)*(2*r + 1)
Let p(h) be the second derivative of h**7/840 + h**6/160 + h**5/80 + h**4/96 - h**2/2 - h. Let u(d) be the first derivative of p(d). Factor u(l).
l*(l + 1)**3/4
Suppose 4*w + 3*a = 16, -3*w + a + 2 + 10 = 0. Let p be 2/12*w*3. Factor 0*b - p*b**2 + 2*b + 4*b**2.
2*b*(b + 1)
Let a = 3 - 3. Factor 3/4*k**3 + a + 0*k + 3/2*k**2.
3*k**2*(k + 2)/4
Let m(b) be the second derivative of -3*b**5/35 + 19*b**4/21 - 22*b**3/7 + 18*b**2/7 - 17*b. Suppose m(c) = 0. What is c?
1/3, 3
Let s(f) be the third derivative of f**6/160 + f**5/20 - f**4/32 - f**3/2 + 11*f**2. Determine l so that s(l) = 0.
-4, -1, 1
Let s(b) be the second derivative of -b**4/12 - b**3/6 - 7*b. Factor s(j).
-j*(j + 1)
Let z(q) = 1. Let m(y) = y**3 - 2*y**2 + y + 3. Let v(b) = 4*m(b) - 12*z(b). Factor v(k).
4*k*(k - 1)**2
Let c(w) be the second derivative of -w**5/50 + w**4/5 - 3*w**3/5 - 20*w. Suppose c(q) = 0. What is q?
0, 3
Let q(u) be the first derivative of 2*u**5/15 - u**4/2 + 2*u**3/3 - u**2/3 + 38. Factor q(y).
2*y*(y - 1)**3/3
Let d = -18549/880 + 232/11. Let l(q) be the second derivative of 1/48*q**4 + 0*q**2 + 0*q**3 + 0 + d*q**5 + 2*q. Find f such that l(f) = 0.
-1, 0
Suppose 2*u + 0*u = 6. Let b(w) be the first derivative of -1/4*w**2 + 1 + 1/12*w**u + 1/4*w. Factor b(t).
(t - 1)**2/4
Let o(l) = 5*l**3 - l**2. Let u be o(1). Solve 5*r - 2 + u*r**3 - 5*r**3 - 7*r**4 + 9*r**2 - 4*r**3 = 0.
-1, 2/7, 1
Let m(f) be the third derivative of f**8/10080 - f**7/1890 + f**6/1080 + f**4/6 - 5*f**2. Let z(d) be the second derivative of m(d). Solve z(p) = 0.
0, 1
Let k(d) be the second derivative of d**6/1260 + d**5/420 + d**3/6 + 6*d. Let o(f) be the second derivative of k(f). Factor o(a).
2*a*(a + 1)/7
Let b(m) be the second derivative of m**6/30 + m**5/5 + m**4/2 + 2*m**3/3 + m**2/2 - 2*m. Factor b(z).
(z + 1)**4
Let l(a) = 10*a**2 + 49*a - 3. Let q be l(-5). Factor 9/4*t**4 + 0 + 1/2*t**q + 0*t + 11/4*t**3.
t**2*(t + 1)*(9*t + 2)/4
Let c(s) be the first derivative of s**3 + 0*s + 0*s**2 - 3/4*s**4 + 1. Factor c(u).
-3*u**2*(u - 1)
Factor 5/4*u**3 + 0*u - 15/4*u**2 + 5.
5*(u - 2)**2*(u + 1)/4
Suppose 5 = -2*q - 3*s + 38, 0 = -4*q + 4*s + 16. Factor -3*n - q*n - n**3 + 143*n**2 - 12 - 149*n**2 + 4.
-(n + 2)**3
Let s(y) = 17*y + 34. Let n be s(-2). Solve -1/2*i**2 + n + 1/2*i = 0.
0, 1
Suppose 0 = -3*x - x + 20. Let y(k) be the third derivative of 0*k - 1/4*k**4 + k**2 - 9/20*k**x + 0 + 0*k**3. Suppose y(m) = 0. What is m?
-2/9, 0
Find w such that -9*w**3 - 3*w**2 - 6 + 11*w**3 + 9*w**2 - 2 = 0.
-2, 1
Let 2/3*z**4 + 104/9*z**2 + 28/3*z + 44/9*z**3 + 2 = 0. What is z?
-3, -1, -1/3
Factor -10*k - 5*k**2 + 53 - 53.
-5*k*(k + 2)
Find r such that 1/5*r**2 - 2/5*r - 3/5 = 0.
-1, 3
Suppose 3*v + f = -3*f + 29, -5*v + 2*f + 5 = 0. Factor 4*y + 2*y**5 - 2*y**v - 4*y.
2*y**3*(y - 1)*(y + 1)
Let y(w) be the third derivative of w**8/3360 - w**6/360 + w**4/8 - 3*w**2. Let l(f) be the second derivative of y(f). Solve l(t) = 0 for t.
-1, 0, 1
Let k(d) be the second derivative of d**4/54 + 14*d**3/27 + 49*d**2/9 - 3*d. Factor k(p).
2*(p + 7)**2/9
Factor 0*g + 54/13*g**3 + 18/13*g**4 + 0 + 54/13*g**2 + 2/13*g**5.
2*g**2*(g + 3)**3/13
Suppose -3 = 5*u - 18. Factor -q**3 + 2*q**2 + q**3 - 2*q**u.
-2*q**2*(q - 1)
Let x(s) be the third derivative of s**6/360 + s**5/60 - 2*s**3/9 - 3*s**2. Factor x(h).
(h - 1)*(h + 2)**2/3
Factor -4*h**3 + 0*h**2 + 4*h**2 + 4*h + 17 - 21.
-4*(h - 1)**2*(h + 1)
Let x(f) be the second derivative of 0*f**2 - 9/100*f**5 - 1/70*f**7 - f + 0*f**3 - 3/50*f**6 + 0 - 1/20*f**4. Factor x(c).
-3*c**2*(c + 1)**3/5
Suppose -5*j + 21 = -h, -6*j + j - 4*h = -41. Let a be -1 - -1 - (-1)/j. Suppose 4/5*i**2 - 3/5*i - a = 0. Calculate i.
-1/4, 1
Suppose w + 2 + 22 = 0. Let a be w/(-14) - (-2)/7. Let 0 - 1/2*q**3 + 0*q**a + 1/2*q = 0. What is q?
-1, 0, 1
Let v(j) be the third derivative of -j**6/40 - j**5/20 + 10*j**2. Factor v(l).
-3*l**2*(l + 1)
Let h(u) = 4*u**4 + 22*u**3 - 54*u**2 - 122*u + 250. Let q(b) = -b**3 + b**2 - b + 1. Let z(o) = -h(o) - 6*q(o). Suppose z(g) = 0. What is g?
-4, 2
Let p be 12/54 - (-230)/18. Let x(d) = d**2 - 11*d - 26. Let b be x(p). Let b*q - 1/5*q**3 - 3/5*q**2 + 4/5 = 0. Calculate q.
-2, 1
Let w(p) be