j - j**5 + 3*j**5 + h*j - 2*j**3 - 2*j**3 = 0.
-1, 0, 1
Let b(g) = g**5 - 3*g**4 - 6*g**3 + g**2. Let j(l) be the third derivative of -l**7/210 - l**6/120 + l**5/60 + 2*l**2. Let p(m) = b(m) - 3*j(m). Factor p(c).
c**2*(c - 2)*(c + 1)**2
Let p be 20/21 - (-4)/(-14). Factor -2*y**2 + p*y**3 - 2/3 + 2*y.
2*(y - 1)**3/3
Let s be 6/14 - (180/56)/(-3). Let v = -7/2 - -4. Factor 3/2*w**3 - 1/2*w**4 + 0 - s*w**2 + v*w.
-w*(w - 1)**3/2
Let c(o) be the second derivative of -o**5/10 + o**3 - 2*o**2 + 4*o. Factor c(s).
-2*(s - 1)**2*(s + 2)
Solve 15/4*m**2 - 3/8*m**5 + 15/8*m**4 + 3/8 - 15/8*m - 15/4*m**3 = 0 for m.
1
Let l(g) be the first derivative of 1/24*g**4 + 1 + 1/15*g**5 + 0*g**2 + 1/36*g**6 + 0*g + 0*g**3. Determine a so that l(a) = 0.
-1, 0
Let a = 1 - 1. Suppose 3*b = 2*b. Factor 0 + a*h + 1/2*h**3 + b*h**2.
h**3/2
Suppose 0 = -5*o - 84 - 46. Let p = o + 105/4. Suppose 1/4*d**2 - 1/4*d**3 + 0 - 1/4*d**4 + p*d = 0. Calculate d.
-1, 0, 1
Let q(r) = -r**3 - 6*r**2 + 7*r + 1. Let w be q(-7). Suppose t - 3*i + 2 + 5 = 0, 2*t - i = w. Factor 0*d**t + 0*d + 0 + 1/3*d**3 + 1/3*d**4.
d**3*(d + 1)/3
Suppose 5 - 1 = 2*w. Suppose -w*q = -5*q + 12. Factor 0 + 4/5*o + 6/5*o**2 - 2/5*o**q + 0*o**3.
-2*o*(o - 2)*(o + 1)**2/5
Let m(q) be the second derivative of -q**3/6 + 3*q**2/2 + 2*q. Let v be m(3). Let 0*w + 1/3*w**3 - 1/3*w**4 + v*w**2 + 0 = 0. What is w?
0, 1
Let r = -555 - -1667/3. Factor 22/9*g + 26/9*g**2 + r + 10/9*g**3.
2*(g + 1)**2*(5*g + 3)/9
Let i(z) = -8*z**3 + 4*z**2 + 6. Let f(y) = -17*y**3 + 9*y**2 + 13. Let p(t) = -6*f(t) + 13*i(t). Factor p(q).
-2*q**2*(q + 1)
Let n(x) = 5*x**2 - 5*x - 10. Let q(d) = 5*d**2 - 6*d - 11. Let s(l) = -6*n(l) + 5*q(l). Let s(i) = 0. What is i?
-1, 1
Let s(i) be the first derivative of 4/9*i**3 + 7/3*i**2 - 7/6*i**4 - 3 - 4/3*i. Suppose s(t) = 0. What is t?
-1, 2/7, 1
Let q(h) be the first derivative of 0*h**2 - 2 + 0*h**5 + 0*h + 1/6*h**3 + 3/16*h**4 - 1/24*h**6. Let q(j) = 0. Calculate j.
-1, 0, 2
Let l = -13 - -18. Suppose 5*z = l*u - 30, -2*u = 5*z + 5 + 11. Factor 2*v**2 + 0*v**u - v - 4*v**3 + 5*v - 2*v**4.
-2*v*(v - 1)*(v + 1)*(v + 2)
Let j(o) be the second derivative of -4*o**7/63 - o**6/15 + o**5/30 + 10*o. Factor j(v).
-2*v**3*(v + 1)*(4*v - 1)/3
Let k = -1 - -1. Suppose -7*j = -2*j + l - 10, 13 = -4*j - 5*l. Factor 0*f**3 + 2*f**j + k*f + 3*f - 5*f.
2*f*(f - 1)*(f + 1)
Factor -4/5 - 4*w - 9/5*w**2.
-(w + 2)*(9*w + 2)/5
Let r be 5 - 3 - (4 - 0). Let p be 2 + -1 + r/(-2). Factor -3*n**p - 12 - n**4 + 12 - 3*n**3 - n.
-n*(n + 1)**3
Let n be 16/3 + 10 + -13. Let n*q**3 + 2/3*q - 3*q**2 + 0 = 0. What is q?
0, 2/7, 1
Let g(f) = f**4 - f**3 + 21*f**2 - 21*f - 5. Let t(z) = 20*z**2 - 20*z - 4. Let x(p) = -4*g(p) + 5*t(p). What is r in x(r) = 0?
-2, 0, 1, 2
Suppose -2*i = -i. Let r(o) be the first derivative of i*o**2 - 2*o - 1 + 2/3*o**3. Factor r(h).
2*(h - 1)*(h + 1)
Let h(a) be the second derivative of 0 - 1/66*a**4 + 0*a**3 - 3*a + 0*a**2 + 1/110*a**5. Factor h(r).
2*r**2*(r - 1)/11
Let i(h) = -14*h**3 - 8*h**2 - 18*h + 9. Let d = 8 + -5. Let n be -6*(0 - d/9). Let t(r) = -r**3 - r + 1. Let x(p) = n*i(p) - 22*t(p). Factor x(b).
-2*(b + 1)**2*(3*b + 2)
Let a(i) be the first derivative of -2*i**3/27 - i**2/3 - 4*i/9 - 10. Determine w so that a(w) = 0.
-2, -1
Let y = 6 - -10. Let n be (-4 + 68/y)*0. Find v such that 0 + 0*v**2 + 10/7*v**4 - 4/7*v**3 + n*v = 0.
0, 2/5
Let h(l) be the second derivative of l**5/10 + l**4/3 + l**3/3 + 13*l. Factor h(s).
2*s*(s + 1)**2
Let l(a) be the first derivative of -4*a**5/5 + 3*a**4 - 8*a**3/3 + 1. Solve l(c) = 0.
0, 1, 2
Factor t**2 - 5*t**2 - t**4 - 2*t**3 + 5*t**2 - t**5 + 3*t**3.
-t**2*(t - 1)*(t + 1)**2
Let t = 11 + -10. Let w(o) = o**2 + 13*o - 2. Let h(q) = q**2 + q + 1. Let d(l) = t*w(l) - 4*h(l). Factor d(z).
-3*(z - 2)*(z - 1)
Let s(x) = x**2 + 47*x + 248. Let j be s(-6). Let -4/3*a**j - 4/3*a**4 + 0*a - 8/3*a**3 + 0 = 0. Calculate a.
-1, 0
Let n be (-7 - -4)/((-6)/(-28)). Let d be 4/(-14) + (-32)/n. Factor 2*w**d - 2*w - 3*w + 7*w.
2*w*(w + 1)
Let s(t) be the first derivative of t + t**2 - 3 + 1/3*t**3. Determine j, given that s(j) = 0.
-1
Let s(o) be the first derivative of -1/30*o**5 + 3 - 1/12*o**2 + 1/24*o**4 + 1/18*o**3 + 0*o. Factor s(g).
-g*(g - 1)**2*(g + 1)/6
Let z(k) be the second derivative of -k**5/20 - k**4/6 + k**3/2 - 10*k. Suppose z(g) = 0. What is g?
-3, 0, 1
Let x(q) be the second derivative of -q**6/1080 + q**5/360 + q**4/36 + q**3/3 + 4*q. Let f(i) be the second derivative of x(i). Factor f(k).
-(k - 2)*(k + 1)/3
Let v(x) be the first derivative of 0*x + 4/15*x**3 + 3 - 1/15*x**4 - 3/2*x**2 + 1/150*x**5. Let s(m) be the second derivative of v(m). Factor s(l).
2*(l - 2)**2/5
Let x(p) be the first derivative of p**8/168 - 2*p**7/105 + p**6/60 + p**2/2 - 1. Let z(k) be the second derivative of x(k). Factor z(s).
2*s**3*(s - 1)**2
Suppose 0 = -3*z + 8 + 1. Factor 3*o**2 + z*o - 3*o**3 - 3*o**4 - 4*o**3 + 5*o**3 - o**3.
-3*o*(o - 1)*(o + 1)**2
Let g(n) = -8*n**3 - 10*n**2 - 12*n - 2. Let s(k) = -6*k + 16*k + 15*k**3 - 1 + 13*k + 5 + 20*k**2. Let r(t) = 7*g(t) + 4*s(t). Factor r(i).
2*(i + 1)**2*(2*i + 1)
Factor 10*t - t**2 - 7*t + 15*t - 81.
-(t - 9)**2
Let m(s) be the third derivative of -2*s**7/315 - s**6/60 - s**5/90 - 5*s**2. What is q in m(q) = 0?
-1, -1/2, 0
Let f = -4 + 6. Let w(l) = -39*l - 308. Let o be w(-8). Find k such that 2/3*k**f - 10/3*k**3 - 2/3*k**o + 16/3*k + 8/3 + 2/3*k**5 = 0.
-1, 2
Let g(m) = 2*m**4 + m**3 - 3*m**2 + 5*m - 2. Let k(n) = n**4 - 2*n**2 + 4*n - 1. Let p(h) = -4*g(h) + 6*k(h). Factor p(z).
-2*(z - 1)*(z + 1)**3
Let t(w) be the third derivative of -w**7/70 + w**6/10 - 3*w**5/10 + w**4/2 - w**3/2 + 8*w**2. What is o in t(o) = 0?
1
Let d = 23183/12885 + 2/2577. Determine g so that 3/5*g**2 + 3/5*g**4 - d*g**3 - 6/5 + 9/5*g = 0.
-1, 1, 2
Let s(i) = -i**4 + i**3 - i**2 - i - 1. Let g(j) = 30*j**4 - 24*j**3 - 18*j**2 + 24*j + 15. Let c(n) = g(n) + 9*s(n). Factor c(v).
3*(v - 1)**2*(v + 1)*(7*v + 2)
Suppose 2/9*u**2 + 2/3 - 10/9*u + 2/9*u**3 = 0. Calculate u.
-3, 1
Let r(v) be the second derivative of v**10/105840 - v**8/23520 - v**4/4 - 3*v. Let l(z) be the third derivative of r(z). Solve l(u) = 0 for u.
-1, 0, 1
Let b(f) be the third derivative of f**9/45360 + f**8/20160 - f**7/7560 - f**6/2160 + f**4/24 - f**2. Let h(g) be the second derivative of b(g). Factor h(d).
d*(d - 1)*(d + 1)**2/3
Let k(x) be the third derivative of -3*x**6/40 + x**5/10 + 28*x**2. Factor k(j).
-3*j**2*(3*j - 2)
Let j(v) = -3*v**5 - 9*v**4 - 6*v**3 + 6*v**2 + 12*v + 3. Let x(z) = -z**4 - 2*z**3 + z + 1. Let t(q) = -j(q) - 3*x(q). Factor t(l).
3*(l - 1)*(l + 1)**3*(l + 2)
Let q(n) be the second derivative of n**4/24 + n**3/12 - 3*n**2/2 - 3*n. Factor q(f).
(f - 2)*(f + 3)/2
Let o(b) be the second derivative of b**7/126 - b**6/15 + 13*b**5/60 - b**4/3 + 2*b**3/9 - 29*b. Factor o(n).
n*(n - 2)**2*(n - 1)**2/3
Suppose -2*c + 7 + 9 = 0. Find y such that -2*y**2 - 5*y**4 + c*y**5 - 6*y**4 - 7*y**4 + 12*y**3 = 0.
0, 1/4, 1
Let b(g) be the third derivative of g**6/960 + g**5/120 + g**4/48 + 24*g**2. Let b(v) = 0. Calculate v.
-2, 0
Suppose -3*r**4 - 65 + 20*r**2 + 49 - r**4 = 0. Calculate r.
-2, -1, 1, 2
Let j be (-122)/18 + 4/(-18). Let k = j - -12. Find v, given that 4*v**5 - 4*v**2 + 4*v**4 - 2*v + 0*v**5 - 2*v**k = 0.
-1, 0, 1
Let u(v) be the third derivative of 1/60*v**5 + 0*v**3 + 7/360*v**6 - 5/1008*v**8 - 1/36*v**4 + 5*v**2 - 1/210*v**7 + 0*v + 0. Determine b so that u(b) = 0.
-1, 0, 2/5, 1
Let j(h) = 6*h**5 + 3*h**4 - h**3 + 2*h + 2. Let t(y) = 19*y**5 + 8*y**4 - 4*y**3 + 7*y + 7. Let q(c) = 7*j(c) - 2*t(c). Factor q(s).
s**3*(s + 1)*(4*s + 1)
Let o be 0 - (-2 + (-4)/(-7)). Let l be ((-3)/63)/((-2)/12). Factor 4/7*p - l*p**4 + 0 - 2/7*p**5 + o*p**2 + 6/7*p**3.
-2*p*(p - 2)*(p + 1)**3/7
Let p(l) be the first derivative of -3/10*l**2 - 18/5*l**4 + 6/5*l**5 + 5/2*l**6 - 2*l**3 - 1 + 0*l. Solve p(q) = 0.
-1, -1/5, 0, 1
Suppose 7*p = 5*p + 10. Factor 5*f**2 - p*f**2 + 2*f + 2*f**2.
2*f*(f + 1)
Let w(s) = -3*s**3 - 15*s**2 + 18*s - 9. Let r(d) = -d**3 - 8*d**2 + 9*d - 4. Let b(y) = 9*r(y) - 4*w(y). Let b(t) = 0. What is t?
0, 1, 3
Let y be (12/(-8))/(6/16). Let z = 4 + y. Factor 0 - 1/3*u**2 + z*u - 1/3*u**4 - 2/3*u**3.
-u**2*(u + 1)**2/3
Facto