r 3*g**2 + 10*g**2 - 28*g**4 - 20*g**3 - 5*g**2.
-4*g**2*(g + 1)*(7*g - 2)
Let f(d) be the first derivative of -d**5 - 10*d**4 - 40*d**3 - 80*d**2 - 80*d - 29. Factor f(h).
-5*(h + 2)**4
Factor -21*t - 15/4*t**3 + 12 - 21*t**2.
-3*(t + 2)*(t + 4)*(5*t - 2)/4
Let f(i) be the third derivative of -i**6/480 + i**5/48 - i**4/16 - 24*i**2. Factor f(s).
-s*(s - 3)*(s - 2)/4
Let b be (-4)/(-12) + (-10)/(-6). Let q be 3 + (-4 - -1) + b. Factor -1/2*w**3 + 3/2*w**q + 1/2 - 3/2*w.
-(w - 1)**3/2
What is u in 91/5*u**3 + 33/5*u**2 + 47/5*u**4 + 0 + 7/5*u**5 - 18/5*u = 0?
-3, -1, 0, 2/7
Let t = -11 - -13. Factor -2/3*y**3 + 0*y + 0 + 4/3*y**t.
-2*y**2*(y - 2)/3
Find q, given that -2/11*q**2 + 0 + 4/11*q = 0.
0, 2
Let j be (-39)/9 + 10/2. Let f(i) be the first derivative of -j*i**2 + 2/3*i + 4 + 2/9*i**3. Factor f(x).
2*(x - 1)**2/3
Let d(j) be the first derivative of 0*j - 4 + 1/12*j**6 - 1/15*j**5 - 3/8*j**4 + 0*j**3 + 1/3*j**2. Determine v, given that d(v) = 0.
-1, 0, 2/3, 2
Let t(f) be the first derivative of f**4/30 + 6*f**3/5 + 81*f**2/5 + 486*f/5 + 4. Factor t(c).
2*(c + 9)**3/15
Let j(z) = 8*z**4 + 11*z**3 + 5*z**2 + 9*z - 7. Let u(n) = -4*n**4 - 5*n**3 - 2*n**2 - 5*n + 4. Let g(t) = -4*j(t) - 7*u(t). Factor g(h).
-h*(h + 1)**2*(4*h + 1)
Let z(j) = 3*j**5 - 3*j**3 - 5*j**2 + 5*j. Let m(p) = 8*p**5 - 8*p**3 - 12*p**2 + 12*p. Let s(g) = 5*m(g) - 12*z(g). Determine w so that s(w) = 0.
-1, 0, 1
Let l(f) be the first derivative of 0*f**3 - 1/300*f**5 + 5/2*f**2 + 0*f + 3 + 0*f**4. Let v(s) be the second derivative of l(s). Factor v(u).
-u**2/5
Determine y, given that 8/3*y**4 - 2*y**2 + 22/3*y**3 + 8/3 - 32/3*y = 0.
-2, 1/4, 1
Let i = 797 - 5547/7. Let b = i - 121/28. Factor -b*v**5 + 0 - v**2 - 3/2*v**3 - v**4 - 1/4*v.
-v*(v + 1)**4/4
Let o(l) = 4*l**2 + l. Let m be o(-2). Let g = 16 - m. Factor g*p**3 + 2/3*p**2 + 2/3*p**5 + 0 + 0*p + 2*p**4.
2*p**2*(p + 1)**3/3
Suppose -5*g + 25 = -2*h, -2*h = -0*h + 5*g - 25. Let a = h - -2. Determine z, given that -4 - a*z + 3*z + 0 - 5*z - z**2 = 0.
-2
Suppose -3*c = -4*m - 4, 5*c - 26 = -6. Suppose 5 = -b, -4*r = -6*r - m*b - 6. Factor 0*n - 1/3 + 1/3*n**r.
(n - 1)*(n + 1)/3
Solve 1/4*p**2 + 0*p + 0*p**3 - 1/4*p**4 + 0 = 0 for p.
-1, 0, 1
Factor 1 + 1/2*f**2 - 3/2*f.
(f - 2)*(f - 1)/2
Let h(l) = 2*l**2 - 1. Let s be h(2). Suppose 3*c - 11*c**3 + 8*c**2 + c + s*c**3 - 8 = 0. Calculate c.
-1, 1, 2
Let t = 95/6 + -281/18. Determine q, given that 2/3*q - 2/9 - 2/3*q**3 + t*q**2 = 0.
-1, 1/3, 1
Suppose 0 + 0*x - 2/7*x**4 - 1/7*x**5 + 1/7*x**3 + 2/7*x**2 = 0. What is x?
-2, -1, 0, 1
Let z = -4 + 4. Suppose 2/5*u**3 + 0*u**2 - 2/5*u**4 + 0*u + z = 0. What is u?
0, 1
Suppose -835*n + 9 = -832*n. Factor -2/3*t**4 - 4*t**2 - 2/3 - 8/3*t**n - 8/3*t.
-2*(t + 1)**4/3
Suppose 8*s - 12 = 4*s. Determine u so that u**3 - u**3 + 2*u**2 + 13*u**2 - 6*u**4 - 3*u**s - 6*u = 0.
-2, 0, 1/2, 1
Let j = 2 - -7. Let p be ((-6)/j)/((-12)/9). Determine b, given that -1/2*b**5 + 1/2 + p*b**4 - b**2 - 1/2*b + b**3 = 0.
-1, 1
Let q = 904/3 - 301. Factor -q + 1/6*h**2 - 1/6*h.
(h - 2)*(h + 1)/6
Let -3*c**3 + 13*c**2 + 24*c + 8*c**2 - 35*c**2 - 7*c**2 = 0. What is c?
-8, 0, 1
Let s(q) be the first derivative of -2 + 4*q**3 - 3/4*q**4 + 3/2*q**2 + 0*q - 12/5*q**5. Find a, given that s(a) = 0.
-1, -1/4, 0, 1
Let q(r) be the second derivative of -r**6/10 - 3*r**5/10 + r**3 + 3*r**2/2 + 13*r. Factor q(s).
-3*(s - 1)*(s + 1)**3
Factor -12/7*c**2 + 3/7*c**3 + 15/7*c - 6/7.
3*(c - 2)*(c - 1)**2/7
Suppose -5*z + 10*z + 220 = 0. Let t be (-126)/(-33) - 8/z. Factor -2/7*w**5 + 10/7*w**t + 20/7*w**2 - 20/7*w**3 + 2/7 - 10/7*w.
-2*(w - 1)**5/7
Let j be (-2)/13 + 486/117. Factor -3 - 22*m**3 - 18*m + 10*m**2 + 6*m**j + 5 + 2 + 20*m**2.
2*(m - 1)**3*(3*m - 2)
Let j = 21 + -18. Let l be -1*j + (-10)/(-3). Factor 2/3*o + 1/3*o**2 + l.
(o + 1)**2/3
Factor 18*o**2 - 7*o**3 + 11 - 3 + 0*o + o**4 - 20*o.
(o - 2)**3*(o - 1)
Let s(u) be the second derivative of -1/3*u**2 - 1/9*u**4 + 4*u + 1/60*u**5 + 5/18*u**3 + 0. Suppose s(l) = 0. Calculate l.
1, 2
Let d(o) be the first derivative of -o**5/30 + 7*o**4/36 - 2*o**3/9 - 3*o**2/2 - 3. Let q(v) be the second derivative of d(v). Suppose q(g) = 0. Calculate g.
1/3, 2
Let m(y) be the second derivative of y**6/60 - y**5/20 - y**4/24 + y**3/6 - 5*y. Factor m(k).
k*(k - 2)*(k - 1)*(k + 1)/2
Let j = 506 - 503. Factor 0 - 1/7*x**j - 1/7*x**2 + 0*x.
-x**2*(x + 1)/7
Let i = -6/17 - -110/119. Suppose -4*p = -2*p. Determine g so that 6/7*g**3 + p - i*g - 2/7*g**2 = 0.
-2/3, 0, 1
Let q(b) = -b + 8. Let h be q(8). Suppose -2*k**2 - 2*k + 5 - 1 + h = 0. What is k?
-2, 1
Let f(u) be the first derivative of u**5/20 + u**4/6 - u - 2. Let v(a) be the first derivative of f(a). Factor v(l).
l**2*(l + 2)
Suppose 7*n - 22 = -3*l + 3*n, -n = 3*l - 19. Factor 4*r**4 - 6 + l - 3*r**4.
r**4
Let f(u) be the second derivative of -1/21*u**7 - 3*u + 0*u**5 + 0 + 0*u**2 + 2/15*u**6 + 1/3*u**3 - 1/3*u**4. Factor f(j).
-2*j*(j - 1)**3*(j + 1)
Solve 4*d**2 - 3*d - 9*d + 0*d = 0 for d.
0, 3
Let m = 5 - 1. Find x such that -4*x**2 + 7*x + 2 - x - m*x = 0.
-1/2, 1
Let w(k) be the first derivative of 4/75*k**5 + 1/45*k**6 + 0*k**3 + 0*k + 0*k**2 + 1/30*k**4 - 6. Find c such that w(c) = 0.
-1, 0
Factor 3*f + 2*f - 21*f**2 + f.
-3*f*(7*f - 2)
What is b in -4*b**2 + 0*b**2 + 16*b + 13 - 4*b**3 + 3 = 0?
-2, -1, 2
Let 1 + n - 3*n**2 + 0*n**2 + 5 + 2*n = 0. What is n?
-1, 2
Let f be (1 + -1)/2 + 4. Find b, given that f - 2*b**2 - 4 + 4 - 2*b = 0.
-2, 1
Let a be 2 + 2/(-2 - 0). Let d be ((-5)/(-2) - a)*2. Factor 2*w**4 - 2*w**3 + 0 + 4 - w - 6*w**2 + d*w.
2*(w - 2)*(w - 1)*(w + 1)**2
Let z(x) = 2*x**2 + 5*x - 1. Let t(m) = m**2 + m. Let g(q) = 6*t(q) - 2*z(q). Factor g(p).
2*(p - 1)**2
Let l(w) = -w**2 - 5*w + 3. Let d be l(-5). What is c in 2*c**3 - c - d*c**3 + 0*c - 2*c**2 = 0?
-1, 0
Let r(w) be the first derivative of -8/27*w**3 - 4/9*w + 4 + w**2. Find h such that r(h) = 0.
1/4, 2
Let u be 50/8 - (-4)/(-16). Suppose -16 + u = -5*g. Solve -2*n + 2 + 1/2*n**g = 0 for n.
2
Let q = 482 + -482. Factor -1/3*r + 1/3*r**3 + q*r**2 + 0.
r*(r - 1)*(r + 1)/3
Let c = 1 + 1. Factor 21*i + 100*i**3 + 36*i**4 + 4 - 9*i + 84*i**c - 12.
4*(i + 1)**3*(9*i - 2)
Let v = -1/409 + 412/1227. Factor v*w**2 + w + 0.
w*(w + 3)/3
Suppose -4*g + 10 - 4 = 3*a, 2*a - 4*g - 4 = 0. Let y(n) be the first derivative of 0*n + 0*n**3 + 1 + 0*n**a + 3/8*n**4. Suppose y(l) = 0. What is l?
0
Let k(l) be the first derivative of l**4/30 + 2*l**3/15 - l**2/15 - 2*l/5 - 8. Factor k(c).
2*(c - 1)*(c + 1)*(c + 3)/15
Let u(f) be the second derivative of -f**6/270 - f**5/45 + f**4/36 + 5*f**3/27 - 4*f**2/9 - 12*f. Find a, given that u(a) = 0.
-4, -2, 1
Factor -2*c**2 + 4/3 + 2/3*c**4 - 2/3*c + 2/3*c**3.
2*(c - 1)**2*(c + 1)*(c + 2)/3
Let d = 32/5 - 6. Solve 0 + 2/5*b**2 - d*b**3 + 0*b = 0 for b.
0, 1
Determine f, given that -2/9*f + 0 + 2/9*f**2 = 0.
0, 1
Suppose -10/3*v + 8 - 4*v**2 - 2/3*v**3 = 0. What is v?
-4, -3, 1
Let y = 871/6 - 145. Let n be (2/(-6))/(2/(-3)). Determine s so that y*s**4 + n*s**3 - 1/3 - 1/2*s + 1/6*s**2 = 0.
-2, -1, 1
Find v such that 0*v**4 + 0 + 6/7*v**5 + 0*v - 6/7*v**3 + 0*v**2 = 0.
-1, 0, 1
Let o(c) = 2*c**3 - 10*c**2 + 3*c - 13. Let m be o(5). Let u(r) be the second derivative of 0*r**m - 1/2*r**3 + 0 - 1/8*r**4 + r. Factor u(p).
-3*p*(p + 2)/2
Let a(w) = 4*w**2 - 7*w - 11. Let z(r) = 4*r**2 - 6*r - 10. Let n(t) = -2*a(t) + 3*z(t). Solve n(h) = 0.
-1, 2
Let v be 4/(4/2 - 0). Suppose 1 = -v*m + 5. Factor m*b**4 - 3*b**4 + b + 3*b**2 - b**3 - 2*b**2.
-b*(b - 1)*(b + 1)**2
What is v in -1/3*v**3 + 1/3*v**4 + 0 - 5/3*v**2 - v = 0?
-1, 0, 3
Suppose 0 = j + 2*j - 9. Factor 3*f + f**j - 2*f - 2*f**3.
-f*(f - 1)*(f + 1)
Let k be (-7 - -1)/(-2) - 3. Let w(v) be the third derivative of k - v**2 + 1/40*v**6 + 1/3*v**3 - 1/8*v**4 + 0*v - 1/30*v**5. Factor w(z).
(z - 1)*(z + 1)*(3*z - 2)
Suppose 0*v - 7 = -4*v + z, 0 = 2*v + 2*z - 6. Factor -i**v + 4*i**2 - 4*i - i**2.
2*i*(i - 2)
Let m(o) = 5*o**3 + 19*o**2 - 10*o. Let k(d) = -36*d**3 - 132*d**2 + 69*d. Let v(q) = -4*k(q) - 27*m(q). Let v(a) = 0. What is a?
-2, 0, 1/3
Let b = -4445/3 - -1482. Factor 1/3*z - b*z**2 + 0.
-z*(z - 1)/3
Let l(o) = o**2 - 2*o + 3. Let z be l(2). Suppose 2*j - w - z = 5*j, 4*j - 12 = 4*w. Factor j - 4/5*y**2