0*u**4. Factor o(i).
(i - 1)*(i + 1)**3/2
Suppose -b = 3*b. Let s(q) be the second derivative of 1/6*q**3 + 1/30*q**6 + 3/20*q**5 + 0*q**2 + b + 2*q + 1/4*q**4. Factor s(o).
o*(o + 1)**3
Let n(q) be the first derivative of -q**5/25 - q**4/10 + q**2/5 + q/5 + 17. Find w such that n(w) = 0.
-1, 1
Find m, given that -4*m**3 + 4*m - 3*m**4 + 7*m**4 - 16*m**2 + 12*m**2 = 0.
-1, 0, 1
Let v(o) be the second derivative of -o**5/60 - 7*o**4/36 + 17*o**3/18 - 3*o**2/2 + 49*o. Determine a, given that v(a) = 0.
-9, 1
Let q = 252 + -140. Factor 24 + 132*o + 38*o**2 + q*o**2 + 63*o**3 + 36*o**2.
3*(o + 2)*(3*o + 2)*(7*o + 2)
Solve 0 + 6/5*m + 3/5*m**3 + 9/5*m**2 = 0.
-2, -1, 0
Factor -3*u + 2*u**3 + 5*u - 4*u.
2*u*(u - 1)*(u + 1)
Factor 5/2*m**3 + 15/2*m + 5/2*m**4 + 0 - 25/2*m**2.
5*m*(m - 1)**2*(m + 3)/2
Factor -14*i**3 - 6*i**4 - 32*i + 5*i**3 + 35*i.
-3*i*(i + 1)**2*(2*i - 1)
Let j(s) be the third derivative of -s**5/300 + s**4/40 + 13*s**2. Factor j(f).
-f*(f - 3)/5
Suppose -2*v = -0*h - 2*h - 4, 3*h + 6 = 4*v. Suppose 5*d + v*d = 10. Factor 5*f**5 + 0*f**5 - 12*f**4 - f**d + 9*f**3 + 0*f**5 - f**2.
f**2*(f - 1)**2*(5*f - 2)
Suppose 3*j + 9 = 3*a, -2*a = -0*j + j + 3. Let 1/2*f**2 + a - 1/2*f = 0. Calculate f.
0, 1
Let v(t) be the third derivative of t**6/24 - t**5/10 + t**4/24 + 15*t**2. Factor v(y).
y*(y - 1)*(5*y - 1)
Let x be 3/(4 + -3) + 3778/(-1260). Let p(s) be the third derivative of 0 + x*s**7 + 0*s**6 - 1/90*s**5 - 3*s**2 + 0*s**4 + 1/18*s**3 + 0*s. Factor p(r).
(r - 1)**2*(r + 1)**2/3
Let x(h) be the third derivative of h**6/40 - 23*h**5/20 + 15*h**4 + 72*h**3 - 7*h**2 + 3. Factor x(v).
3*(v - 12)**2*(v + 1)
Suppose -7*q = -6*q. Let h(m) be the first derivative of q*m - 1/9*m**3 - 1/3*m**2 + 1. Factor h(i).
-i*(i + 2)/3
Suppose 4 = 2*i - 8. Let i*f + 4*f**2 + 1 - 3*f**2 - 8*f = 0. What is f?
1
Suppose -3*a + 2*a = -b - 1, 3*a - 12 = 0. Let g(t) be the third derivative of 2*t**2 + 1/48*t**4 + 0*t**b + 0*t + 0 - 1/120*t**5. Factor g(h).
-h*(h - 1)/2
Solve 0*x**2 + 0*x**4 + 2/3*x**3 + 0 - 1/3*x**5 - 1/3*x = 0.
-1, 0, 1
Let d(i) be the first derivative of 2/5*i**5 - 5 + 1/2*i**4 - 10/3*i**3 + 0*i + 3*i**2. Factor d(j).
2*j*(j - 1)**2*(j + 3)
Suppose -2 = -0*h - h. Factor -z**3 - 9*z + 2 + 6 - 3*z + 6*z**h.
-(z - 2)**3
Let r(j) be the first derivative of j**5 - 5*j**4/2 + 5*j**2 - 5*j - 10. Determine l so that r(l) = 0.
-1, 1
Let r(s) = s - 2. Suppose -p + 4*p = 12. Let i be r(p). Let -3*x**5 + 3*x**5 - i*x**4 - x**3 - x**5 = 0. What is x?
-1, 0
Suppose 3*x = q - 15, 2*q = x - 0*x + 10. Factor q + 0 - m**2 + 2*m**2 - 4.
(m - 1)*(m + 1)
Let h(u) = 3*u**2 - 12*u + 14. Let m = 16 + -19. Let v(l) = -3*l**2 + 12*l - 15. Let q(z) = m*h(z) - 2*v(z). Suppose q(t) = 0. Calculate t.
2
Suppose -3*b = -0*b + 15. Let c be b/2*8/(-10). Factor 4/3*w**3 + 2/3*w**4 + 0 + 0*w + 2/3*w**c.
2*w**2*(w + 1)**2/3
Let n be (4 - -3) + -4 + -1. Determine t so that 7/4*t - 1/2 - 5/4*t**n = 0.
2/5, 1
Suppose 2*o - 19 = -3*w - 3, w - o = 2. Suppose -29 = -5*t + w*k - 6, -22 = -4*t + 5*k. Let 1/2*h + 0*h**t - h**4 + h**2 - 1/2*h**5 + 0 = 0. Calculate h.
-1, 0, 1
Let i(q) = -3*q**4 + 6*q**3 + 12*q**2 + 24*q + 3. Let p(t) = t**3 - t**2 - 1. Let u(w) = i(w) - 6*p(w). Factor u(g).
-3*(g - 3)*(g + 1)**3
Let o(y) = y**3 - 2*y**2 - y - 3. Let z be o(3). Suppose 3*v = 2*v + 4*a - 6, -z*v - 4*a + 14 = 0. Factor 4*h**2 - 2*h**4 + 0*h**2 - v*h**2.
-2*h**2*(h - 1)*(h + 1)
Let f(w) be the first derivative of -10/7*w**3 + 19/14*w**4 + 4/7*w + 3 + 1/7*w**2 - 2/5*w**5. Factor f(n).
-2*(n - 1)**3*(7*n + 2)/7
Let x(t) be the third derivative of t**5/20 + t**4/8 + 11*t**2. Solve x(a) = 0 for a.
-1, 0
Let y(o) be the second derivative of o**4/12 + 5*o**3/6 - 7*o**2 + 39*o. What is b in y(b) = 0?
-7, 2
Let l be ((-1288)/180)/(-7) + (-8)/36. Factor 0 + l*r - 2/5*r**2.
-2*r*(r - 2)/5
Let r be (20/15*3/10)/1. Suppose -r*b**3 + 0 - 2/5*b - 4/5*b**2 = 0. Calculate b.
-1, 0
Let l(o) be the first derivative of 4*o**3/3 + 2*o**2 - 8*o + 1. Factor l(c).
4*(c - 1)*(c + 2)
Suppose -2*d + 3*t = -0 - 1, 0 = 4*t - 4. Find f such that 8/7 - 10/7*f**d - 16/7*f = 0.
-2, 2/5
Let s(m) be the third derivative of -3*m**2 - 1/30*m**3 - 1/60*m**4 + 0 + 0*m + 1/100*m**5. Factor s(t).
(t - 1)*(3*t + 1)/5
Let c = 2 + -3. Let a(b) = -3*b**3 - b. Let v be a(c). Determine r, given that 3*r**5 - r**3 + 2*r**3 - v*r**5 = 0.
-1, 0, 1
Let s(p) be the second derivative of -p**4/6 + p**3/6 + 27*p. Find r, given that s(r) = 0.
0, 1/2
Let t(x) be the third derivative of -x**7/560 - 7*x**6/320 - 3*x**5/32 - 9*x**4/64 + x**2 - 4. Factor t(o).
-3*o*(o + 1)*(o + 3)**2/8
Let z be ((-3)/(-15))/(2/(-25)) - -3. Factor -9/2 - 3*s - z*s**2.
-(s + 3)**2/2
Let y(u) be the third derivative of -1/360*u**5 + 10*u**2 + 0*u + 1/36*u**4 + 1/9*u**3 + 0 - 1/720*u**6. Factor y(x).
-(x - 2)*(x + 1)*(x + 2)/6
Let t(l) be the third derivative of 0*l + 0 + 1/4*l**4 + 2*l**2 + 1/20*l**5 + 1/2*l**3. Factor t(j).
3*(j + 1)**2
Factor -1484 - 5*u**2 - 4*u + u**2 + 4*u**3 + 1488.
4*(u - 1)**2*(u + 1)
Let b(n) be the third derivative of -n**5/60 - 5*n**4/24 - 2*n**3/3 + 18*n**2 - n. Solve b(w) = 0 for w.
-4, -1
Factor 0 + 6*a**2 + 3/2*a**3 + 9/2*a.
3*a*(a + 1)*(a + 3)/2
Let m(i) be the first derivative of -i**7/70 + 3*i**5/50 - i**3/10 + 5*i - 5. Let n(y) be the first derivative of m(y). Let n(v) = 0. What is v?
-1, 0, 1
Factor 0 + 1/3*y**3 - 1/6*y + 0*y**2 - 1/6*y**5 + 0*y**4.
-y*(y - 1)**2*(y + 1)**2/6
Factor -3 + 3*u**2 - 3 - 7*u**2 - 13*u + 3.
-(u + 3)*(4*u + 1)
Let m(f) be the second derivative of 0 - 4/3*f**2 + 35/18*f**7 - 19/18*f**4 - 2*f - 26/9*f**3 + 293/60*f**5 + 266/45*f**6. Find p such that m(p) = 0.
-1, -2/7, 2/5
Let f be (-3)/((-27)/(-2))*(-32 - -29). Find d, given that -f*d + 1/3*d**3 + 0 - 1/3*d**2 = 0.
-1, 0, 2
Let l(t) = 10*t**3 - 127*t**2 + 480*t - 633. Let q(v) = 5*v**3 - 63*v**2 + 240*v - 317. Let b(h) = -3*l(h) + 7*q(h). Let b(u) = 0. What is u?
4
Let k(p) be the first derivative of 0*p**3 + 0*p**4 - 3 + 0*p**2 - 3/20*p**5 - 3*p. Let b(z) be the first derivative of k(z). Let b(h) = 0. What is h?
0
Let l be 327/(-63) + 6 + (-5)/(-15). Determine t so that -8/7*t + 2/7*t**2 + l = 0.
2
Let h(p) be the third derivative of -p**8/168 - 4*p**7/105 - p**6/10 - 2*p**5/15 - p**4/12 + 3*p**2. Solve h(v) = 0 for v.
-1, 0
Find a, given that 1/2*a**2 + 0 + 0*a = 0.
0
Factor 1/5*a**2 - a + 0.
a*(a - 5)/5
Let r be (-560)/2275*(-10)/4. Let r + 2/13*x**2 - 8/13*x = 0. Calculate x.
2
Let u be 0/2 - (5 + -9). Suppose 2 = y - u. Factor 6*i - y*i**3 + 5*i**4 + 2*i - 3*i**4.
2*i*(i - 2)**2*(i + 1)
Let h = 98439/230 - 428. Let u = 469/2070 + h. Factor -u*a**2 - 4/9 - 2/3*a.
-2*(a + 1)*(a + 2)/9
Let n(l) = l**2 + 15*l - 18. Let u(q) = -14*q + 18. Let k(w) = -4*n(w) - 6*u(w). Find j such that k(j) = 0.
3
What is l in -3*l**3 + 229*l**4 - l**5 - 235*l**4 + 4*l**5 + 6*l**2 = 0?
-1, 0, 1, 2
Let x(i) = -i**2 + 5*i - 2. Let b be x(4). Let a(z) be the second derivative of b*z**2 + 1/3*z**3 - 1/6*z**4 + 0 - 4*z. Factor a(p).
-2*(p - 2)*(p + 1)
Let x(k) be the first derivative of 3*k**4 - 5*k**3 + 3*k**2/2 + 7. Factor x(u).
3*u*(u - 1)*(4*u - 1)
Suppose 6*n - 3*n + b - 17 = 0, 5*n - 3*b = 33. Let y(k) be the first derivative of 0*k + 3*k**4 + 8/5*k**5 + k**2 + 1/3*k**n + 8/3*k**3 + 1. Factor y(d).
2*d*(d + 1)**4
Let d(o) = o**3 + 7*o**2 + 2*o - 8. Let a be d(-6). Suppose -15 = 5*z, 4*b - 2*z - a = -b. Factor 2*q**4 + b*q**5 + 0*q**5 - 4*q**3 + 4*q**5.
2*q**3*(q + 1)*(3*q - 2)
Find c, given that 0 + 1/6*c**3 + 1/6*c**2 - 1/3*c = 0.
-2, 0, 1
Let u = 6 + 0. Let z = -4 + u. Factor 729/4*r**3 + 27*r + z + 243/2*r**2.
(9*r + 2)**3/4
Factor -9*c**3 - 18*c**2 + 5*c**3 + 3*c**3 - 2*c**3.
-3*c**2*(c + 6)
Let c be ((-2)/3)/((-1)/3). Suppose c*t = -t. Factor -2/5*l**4 + 0*l**2 + 0*l**3 + t*l + 0 + 2/5*l**5.
2*l**4*(l - 1)/5
Let y(d) be the first derivative of d**6/12 + d**5/10 - d**4/8 - d**3/6 + 9. Factor y(n).
n**2*(n - 1)*(n + 1)**2/2
Find v, given that 2/7*v**2 + 0 + 2/7*v = 0.
-1, 0
Let r(p) be the first derivative of p**5/20 - p**4/8 + p**3/12 + 25. Solve r(o) = 0 for o.
0, 1
Factor -1/2*h**3 + 1/2 - 1/2*h**2 + 1/2*h.
-(h - 1)*(h + 1)**2/2
Let h(r) be the first derivative of 2 + 1/2*r**2 + 1/30*r**5 + 4/3*r**3 - 1/3*r**4 + 0*r. Let f(o) be the second derivative of h(o). Factor 