+ 0*m**2. Factor w(v).
v*(v - 1)**2*(v + 1)**2
Let n(u) = -3*u + 1. Let w be n(1). Let i be 29/4 + w/8. Factor z + 6 + z + 3*z**2 - i.
(z + 1)*(3*z - 1)
Let v(j) be the first derivative of -2 - 2*j**4 - 4*j**2 + 4*j**3 + 2/5*j**5 + 2*j. Let v(y) = 0. What is y?
1
Factor -390 - 2*f**2 + 5*f + 380 + 7*f**2.
5*(f - 1)*(f + 2)
Suppose 3*h + 3*m - 25 = -7, -2 = -m. Suppose -2*q - 15*q**2 + 2*q**3 + 4*q**3 - 4*q + 0*q + 15*q**h = 0. Calculate q.
-1, -2/5, 0, 1
Let a(r) = -9*r**3 - 36*r**2 - 51*r - 18. Let f(x) = x**3 + x**2 - 1. Let g(j) = -a(j) - 6*f(j). Factor g(t).
3*(t + 1)**2*(t + 8)
Factor 64*x**3 + 23/3*x**4 + 1/3*x**5 - 432 + 216*x**2 + 144*x.
(x - 1)*(x + 6)**4/3
Let i(o) be the third derivative of o**8/1344 - o**7/280 + o**6/160 - o**5/240 + 2*o**2. Find u, given that i(u) = 0.
0, 1
Let s(g) = g**3 - 11*g**2 + 11*g - 10. Suppose 9 = 2*u - 11. Let w be s(u). Factor 0 + w*h + 3/5*h**2.
3*h**2/5
Let q(n) = -n**3 + n. Let r(f) = 16*f**3 + 4*f**2 - 28*f - 16. Let g(h) = 12*q(h) + r(h). Factor g(s).
4*(s - 2)*(s + 1)*(s + 2)
Suppose i + 4*i - 45 = 0. Suppose -2*z - i = r, 0 = 3*r - 5*z - 21 - 7. Factor 0 + 2*o**2 + r + 1 - 4*o.
2*(o - 1)**2
Let x(w) = -2*w**3 - 7*w**2 - 6*w. Let p(s) = -6*s**3 - 20*s**2 - 17*s. Let v(j) = 6*p(j) - 17*x(j). Find m such that v(m) = 0.
-1/2, 0
Let c(n) be the third derivative of 0*n**7 + 0 + 0*n**3 + 0*n - 3*n**2 + 1/240*n**6 + 0*n**5 + 0*n**4 - 1/672*n**8. Find b, given that c(b) = 0.
-1, 0, 1
Let t(g) be the first derivative of -4/45*g**5 + 3 + 0*g + 0*g**2 + 0*g**3 + 1/18*g**4 + 1/27*g**6. Solve t(x) = 0.
0, 1
Let t(d) be the second derivative of -4*d - 5/3*d**4 + 2*d**2 - 8/3*d**3 + 0. Let t(g) = 0. What is g?
-1, 1/5
Determine k, given that -8/5*k - 8/5*k**4 + 4*k**2 + 2/5*k**5 + 2/5*k**3 - 16/5 = 0.
-1, 2
Let q = 135 + -943/7. Solve 0*u - 4/7*u**3 + 2/7*u**2 + 0 + q*u**4 = 0.
0, 1
Suppose -35*v + 35*v**3 - 5*v**2 + 2*v**2 - 7*v**2 + 10 = 0. Calculate v.
-1, 2/7, 1
Let u = -10 + 16. Let b = u + 2. Find s, given that -s**3 + 7*s**3 + 2 + b*s**2 + 7*s - 3*s**3 = 0.
-1, -2/3
Let y = -150 + 153. Factor 0*k + y*k**4 + 3/2*k**3 + 0 + 0*k**2 + 3/2*k**5.
3*k**3*(k + 1)**2/2
Let j(f) = 65*f**2 - 65*f + 25. Let x(u) = -8*u**2 + 8*u - 3. Let d(s) = 3*j(s) + 25*x(s). Factor d(v).
-5*v*(v - 1)
Suppose 31*w - 8*w = 0. Suppose -2*g + 2 = -g. Factor 1/3*i + 0 + w*i**g - i**3 - 2/3*i**4.
-i*(i + 1)**2*(2*i - 1)/3
Let s be ((-3)/5)/((-1)/5). Factor 4*o + 0 - 8*o**s + 2*o**4 + 4*o**3 - 2.
2*(o - 1)**3*(o + 1)
Let b = 43/12 + -10/3. Suppose 5*n = f + 12, 6 = -n - 0*n - 4*f. Find a such that -b*a**3 - 1/2*a**n + 0 - 1/4*a = 0.
-1, 0
Let o = 1067/18 + -520/9. Factor 3/4*t**4 - 9/4*t**3 + 3/4*t**2 - o + 9/4*t.
3*(t - 2)*(t - 1)**2*(t + 1)/4
Let a be (-170)/(-40) - -1*(-7 + 3). What is b in 3/4*b**2 - a*b**3 - 3/4*b + 1/4 = 0?
1
Let d be (2/(-20))/((-38)/190). Factor 1/2 - d*t**2 + 0*t.
-(t - 1)*(t + 1)/2
Let o(g) be the first derivative of g**6/6 + 2*g**5/5 - 2*g**3/3 - g**2/2 - 7. Let o(d) = 0. Calculate d.
-1, 0, 1
Suppose 2*f + 6 = 5*f. Let j(o) be the first derivative of -1/3*o**3 + o + 1/2*o**4 + 1 - o**f. Suppose j(p) = 0. Calculate p.
-1, 1/2, 1
Let j(z) be the first derivative of z**4/24 + z**3/18 + 9. What is t in j(t) = 0?
-1, 0
Suppose 4*f - 14 = -3*h, f = -f + 3*h + 16. Let j be (-4)/(-30)*3*5. What is p in 8*p - p**3 - j*p**3 - f*p**3 + 2*p**2 - 2 = 0?
-1, 1/4, 1
Let w(s) = -s**3 - s**2 + s + 2. Let j be w(0). Let x be j - ((-25)/5 - -4). Factor 1/3*u**2 + 0 - 1/3*u**4 - 1/3*u + 1/3*u**x.
-u*(u - 1)**2*(u + 1)/3
Let a(n) be the first derivative of 3*n**4/4 - n**3 + 4. Determine l so that a(l) = 0.
0, 1
Suppose 3*l - 5 = i, 14*l - 24 = 10*l - 3*i. Factor 3*r**l - 5*r**2 + 7/3*r - 1/3.
(r - 1)*(3*r - 1)**2/3
Factor 81 - 7*m**5 - 81*m - 54*m**2 - 30*m**4 + 3*m**4 + 10*m**5 + 78*m**3.
3*(m - 3)**3*(m - 1)*(m + 1)
Let o(u) be the third derivative of -1/45*u**5 + 0*u**4 + 0*u**3 + 0*u - 1/60*u**6 - 3*u**2 + 0 - 1/315*u**7. What is b in o(b) = 0?
-2, -1, 0
Suppose 0 = 9*t - 6*t - 9. Let j be (-2)/5 - (-23)/20. Factor 3/2*x**2 + j*x**5 + 1/2*x**t - 7/4*x**4 - 5/4*x + 1/4.
(x - 1)**3*(x + 1)*(3*x - 1)/4
Let k(x) be the second derivative of -x**4/54 + 5*x**3/27 + 16*x. Suppose k(d) = 0. Calculate d.
0, 5
Let b(k) be the first derivative of -4 + 1/2*k**3 - 9/2*k - 3/2*k**2. Factor b(t).
3*(t - 3)*(t + 1)/2
Suppose -5*n = -4 - 16. Let f(k) be the third derivative of 1/30*k**3 - 1/200*k**6 - 1/120*k**n + 2*k**2 + 0*k - 1/60*k**5 + 0. Factor f(j).
-(j + 1)**2*(3*j - 1)/5
Let f(s) = 2*s**2 + s - 1. Let g be f(1). Suppose -56 = -g*n + 26. Determine u so that n*u**2 + 2 - 9*u**2 - 16*u + 0*u**2 = 0.
1/4
Let a(k) be the first derivative of k**6/27 + 4*k**5/45 - 4*k**3/27 - k**2/9 - 5. Find x, given that a(x) = 0.
-1, 0, 1
Let y(v) be the second derivative of -v**5/5 - 2*v**4/3 - 4*v. Factor y(n).
-4*n**2*(n + 2)
Let s(r) be the first derivative of 3*r**4 + r**3 + 5. Suppose s(l) = 0. What is l?
-1/4, 0
Let l be (-1)/(22 - (2 + 2))*-2. Let z(i) be the first derivative of -2/3*i - i**2 + 1/3*i**4 - 4/9*i**3 + l*i**6 - 3 + 2/5*i**5. Find s, given that z(s) = 0.
-1, 1
Let i(y) be the second derivative of y**8/168 + y**7/105 - y**6/20 - y**5/30 + y**4/6 - 2*y**2 + 2*y. Let v(g) be the first derivative of i(g). Factor v(s).
2*s*(s - 1)**2*(s + 1)*(s + 2)
Let h be (-5)/2*(-12)/10. Factor 4*o**h - 5*o**3 + 3*o**2 - 3*o**2.
-o**3
Let c = 2303/11 - 209. Find q such that c*q - 2/11*q**4 + 2/11 + 0*q**2 - 4/11*q**3 = 0.
-1, 1
Let m(d) be the second derivative of -d**6/285 + 2*d**5/95 - d**4/38 - 4*d**3/57 + 4*d**2/19 + 3*d. Find b such that m(b) = 0.
-1, 1, 2
Let y(j) = -6*j**5 - 9*j**4 + 3*j**2 - 3. Let x(i) = i**5 + i**4 + i**2 + i + 1. Let t(m) = -3*x(m) - y(m). Factor t(k).
3*k*(k - 1)*(k + 1)**3
Let r(d) = 23*d**4 + 5*d**2 + 17*d + 23. Let x(f) = 8*f**4 + 2*f**2 + 6*f + 8. Let q(w) = -6*r(w) + 17*x(w). Factor q(u).
-2*(u - 1)**2*(u + 1)**2
Suppose -3*f - 9 = -0*f, 5*f = -4*m - 171. Let n = 119/3 + m. Factor -4/3 - 2*g - n*g**2.
-2*(g + 1)*(g + 2)/3
Suppose -f = -5*f + 52. Suppose f = 2*j + 3. Factor -1 - 16*p**2 + 10*p + 3*p - j*p.
-(4*p - 1)**2
Let -4/5*m**2 + 0 + 2/5*m + 2/5*m**3 = 0. What is m?
0, 1
Let m be 0/3 - (-2 + 0)/8. Determine i, given that 1/2*i - m*i**2 - 1/4 = 0.
1
Let h(x) = -x - 5. Let o(m) = m**2 + m - 6. Let i be o(0). Let g be h(i). Factor -j**2 - 2 - 3 + g + 4*j.
-(j - 2)**2
Let v = 10 - 5. Suppose 4*q = -4 + 16. Let 2*d**3 - 2*d**v + 3*d**4 - q*d**4 = 0. What is d?
-1, 0, 1
Factor 0 + 2/13*x**4 - 2/13*x**2 + 0*x + 0*x**3.
2*x**2*(x - 1)*(x + 1)/13
Let c(y) be the second derivative of y**6/240 - y**5/40 + y**3/3 + 2*y. Let n(l) be the second derivative of c(l). Determine q, given that n(q) = 0.
0, 2
Suppose -5*j = -t - 22, 0*t = 5*j - 4*t - 13. Suppose 4*v = 3*x + 11, 3*x - 6 = -2*v + j*x. Determine a, given that 2*a**2 + 2*a - 6*a + v + 0*a**2 = 0.
1
Let q(a) be the first derivative of a**6/2 - 9*a**4/2 + 8*a**3 - 9*a**2/2 - 12. Factor q(m).
3*m*(m - 1)**3*(m + 3)
Let i(c) be the first derivative of 0*c + 1/3*c**6 + 0*c**2 - 2/3*c**3 + 2/5*c**5 + 1 - 1/2*c**4. Suppose i(s) = 0. Calculate s.
-1, 0, 1
Let p(r) be the third derivative of -1/315*r**7 + 0*r**3 - 2/15*r**5 - 3*r**2 + 0 - 1/30*r**6 - 2/9*r**4 + 0*r. Factor p(j).
-2*j*(j + 2)**3/3
Let a(u) be the second derivative of u**8/1344 - u**7/7560 - u**6/1080 - u**4/2 + 3*u. Let j(c) be the third derivative of a(c). Factor j(r).
r*(3*r + 1)*(5*r - 2)/3
Solve -3*j**3 - 1/2*j**2 - j**5 + j + 7/2*j**4 + 0 = 0.
-1/2, 0, 1, 2
Let m(d) be the second derivative of -d**6/270 + d**5/45 - d**4/36 - 2*d**3/27 + 2*d**2/9 + 7*d. Solve m(x) = 0.
-1, 1, 2
What is u in -2/7*u**3 + 0*u + 8/7 - 6/7*u**2 = 0?
-2, 1
Suppose 0 = -5*p + 4*z, 3*p = -0*z + z. Let t(u) be the second derivative of -2*u - 1/12*u**3 + p*u**2 + 0 + 1/48*u**4. Factor t(a).
a*(a - 2)/4
Factor 4*w - 3*w**3 + 5*w**3 + 4*w**5 - 10*w**3.
4*w*(w - 1)**2*(w + 1)**2
Let m = 37/6 - 6. Let z(f) be the first derivative of 0*f - 4/9*f**3 - 2 + m*f**4 + 1/3*f**2. Factor z(q).
2*q*(q - 1)**2/3
Let u(n) = n**3 + 10*n + 17 + 32*n**2 + 13*n - 5*n**3. Let d(l) = -l**3 + 11*l**2 + 8*l + 6. Let y(g) = 17*d(g) - 6*u(g). Suppose y(a) = 0. What is a?
-2/7, 0, 1
Let x = 21/5 + -4. Let k be 7 - 5 - 0/4. Factor 0 + x*t**3 + 0*t + 0*t**k.
t