**4 - 4*t. Factor h(u).
-2*u**2*(u + 1)/7
Suppose 1/3*q + 0 - 1/3*q**2 - 2/3*q**3 = 0. What is q?
-1, 0, 1/2
Factor -3/7*i**2 - 6/7*i + 9/7.
-3*(i - 1)*(i + 3)/7
Suppose 0 = -2*x - 3*t + 13, -2*x + 2*t = 9 - 7. Factor 0 - 4/5*r**3 - 9/5*r**x - 2/5*r.
-r*(r + 2)*(4*r + 1)/5
Let 0*v**2 + v - 1/3*v**3 + 2/3 = 0. Calculate v.
-1, 2
Factor n - 1/3*n**2 + 4/3.
-(n - 4)*(n + 1)/3
Let k(l) be the first derivative of l**6/9 - 8*l**5/15 + 2*l**4/3 - 4. Factor k(r).
2*r**3*(r - 2)**2/3
Let v(d) be the first derivative of 2*d**3/27 - 7*d**2/9 + 20*d/9 + 47. Factor v(b).
2*(b - 5)*(b - 2)/9
Let b(o) be the first derivative of -o**3/15 + o**2 - 9*o/5 + 29. Find a such that b(a) = 0.
1, 9
Let i(n) = -n + 1. Let v(y) = -y**3 + 9*y**2 - 22*y + 14. Let b(j) = -2*i(j) - v(j). Let b(d) = 0. Calculate d.
1, 4
Let z(q) be the first derivative of q**6/2 + 3*q**5 + 9*q**4/4 - 5*q**3 - 6*q**2 - 33. Solve z(p) = 0 for p.
-4, -1, 0, 1
Let p(m) be the first derivative of -m**5/30 + 5*m**4/8 - 8*m**3/3 - 16*m**2/3 + 5. Determine y so that p(y) = 0.
-1, 0, 8
Let p(o) be the second derivative of -1/10*o**5 + 0*o**2 + 1/3*o**3 + 1/12*o**4 + 0 - 1/30*o**6 + 2*o. Factor p(t).
-t*(t - 1)*(t + 1)*(t + 2)
Let n be 4/(3/((-9)/(-2))). Factor 0*t**2 - 5*t**3 + 2*t**3 - 3*t**3 - 2*t**2 + n*t + 4 - 2*t**4.
-2*(t - 1)*(t + 1)**2*(t + 2)
Let v(q) = 3*q**3 + 22*q**2 + 31*q + 19. Let l(g) = -g**3 - 7*g**2 - 10*g - 6. Let m(p) = -21*l(p) - 6*v(p). Factor m(o).
3*(o + 1)*(o + 2)**2
Factor -3*l + 6 + 4*l - l - 3*l**2 + 3*l.
-3*(l - 2)*(l + 1)
Let u(w) = w - 1. Let q be ((-27)/(-9))/((-6)/8). Let x(z) = -2*z**2 + 4*z - 2. Let d(i) = q*u(i) + x(i). Let d(b) = 0. Calculate b.
-1, 1
Let x(r) = r**4 - r**3 + r**2 - 1. Let j(q) = 8*q**5 + 23*q**4 + 49*q**3 + 19*q**2 + 6*q + 7. Let v(o) = 2*j(o) + 14*x(o). Suppose v(d) = 0. What is d?
-1, -3/4, 0
Let u(j) be the second derivative of 0 + 107/20*j**6 + 27/8*j**4 - 5*j + 309/40*j**5 - 3/2*j**2 + 9/7*j**7 - 7/4*j**3. Let u(l) = 0. What is l?
-1, -2/9, 1/4
Let k(y) be the second derivative of -y**4/12 + y**3/3 - y**2/2 - 60*y. Let k(o) = 0. Calculate o.
1
Find q such that 2*q**4 + 25*q**2 + 7*q + 3*q + 117*q**3 - 97*q**3 + 3*q**4 = 0.
-2, -1, 0
Suppose 400*f + 20 = 410*f. Factor 3/4*u**f - 1 - 1/4*u**3 + 0*u.
-(u - 2)**2*(u + 1)/4
Let a(q) be the third derivative of 0*q**5 - 3*q**2 + 1/3*q**3 - 1/30*q**6 + 0*q + 0 + 1/6*q**4 - 1/105*q**7. Factor a(t).
-2*(t - 1)*(t + 1)**3
Suppose 5*x - 5*c + 30 = 0, 2*x - 4 = c - 21. Let y = -9 - x. Factor 14*h**4 + 8*h**2 - 16*h**2 - 10*h + 10*h**3 + 15 - 11 - 10*h**y.
2*(h - 1)*(h + 1)**2*(7*h - 2)
Suppose 0 = -2*v, -4*v = -2*t + 3*t - 8. Factor 0 + 1/3*k - t*k**4 + 22/3*k**3 + 3*k**5 - 8/3*k**2.
k*(k - 1)**2*(3*k - 1)**2/3
Factor 2/7*v**4 + 0*v - 4/7*v**3 + 2/7*v**2 + 0.
2*v**2*(v - 1)**2/7
Let d(a) be the second derivative of a**5/35 + a**4/21 - 5*a. Let d(u) = 0. What is u?
-1, 0
Let h(k) be the second derivative of 3*k**7/98 + k**6/35 - 3*k**5/35 - k**4/14 + k**3/14 - 10*k. Determine d so that h(d) = 0.
-1, 0, 1/3, 1
Let x(p) = -p**5 + p**4 + p**3 - p**2 - 1. Let i(k) = 4*k**5 - 4*k**4 + 4*k**3 + 4*k**2 - 8*k + 8. Let m(h) = -i(h) - 8*x(h). Determine y so that m(y) = 0.
-1, 0, 1, 2
Let w be (7 + 3)*(1 + 39/(-45)). Let -w*v - 1/3*v**2 - 4/3 = 0. Calculate v.
-2
Let q = 1437 - 1434. Factor -3/5 - 1/5*o**q - o**2 - 7/5*o.
-(o + 1)**2*(o + 3)/5
Let z = -11 + 15. Suppose 2*p + 0*p - z*q = -4, 0 = 5*p + q - 12. Factor p*i + 0 + 0 - 2*i**2.
-2*i*(i - 1)
Factor 4/3 - 1/3*c**2 + c.
-(c - 4)*(c + 1)/3
Let l be 0 - -38 - -1 - -1. Let z = -29 + l. Factor -2*x - z + 11 - x**2.
-x*(x + 2)
Factor -320*g**2 - 192*g**3 - 81 + 3*g**2 - 115*g**2 - 324*g.
-3*(4*g + 3)**3
Let t(n) be the third derivative of 2/21*n**3 + 0 + 0*n - 1/28*n**4 - n**2 + 1/210*n**5. Let t(g) = 0. What is g?
1, 2
Factor -1/5*q**2 + 2/5*q**3 - 2/5*q + 1/5*q**4 + 0.
q*(q - 1)*(q + 1)*(q + 2)/5
Let -h + 1 + 4*h - 6*h + 3*h**2 - 3*h**3 + 2*h**3 = 0. What is h?
1
Let f(v) = 89*v**2 - 47*v + 8. Let x(b) = -b**2 + b. Let y(m) = -2*f(m) + 18*x(m). Solve y(l) = 0 for l.
2/7
Let m(d) be the second derivative of -1/15*d**3 + 1/50*d**5 + 0*d**2 + 1/75*d**6 + 2*d + 0 - 1/30*d**4. Determine n, given that m(n) = 0.
-1, 0, 1
Solve 9/4*o**2 + 3/4*o**3 + 3/4 + 9/4*o = 0.
-1
Let w(r) = r**2 - 7*r + 8. Let k be w(6). Let c(q) be the second derivative of -1/42*q**4 + q - 1/7*q**k + 0 - 2/21*q**3. Factor c(n).
-2*(n + 1)**2/7
Factor 12 + 28*v**2 - v**4 + 18*v**3 + 288*v + 4*v**4 - 252*v + 11*v**2.
3*(v + 1)**2*(v + 2)**2
Factor -6*j**4 - 3*j + 4*j**2 + 9*j + 2*j**4 + 2*j - 8*j**3.
-4*j*(j - 1)*(j + 1)*(j + 2)
Let a = 1 - 1. Suppose -5 = -l - a. Suppose 10*f**2 - 3*f**4 + 0*f**4 + 9*f**3 - 3*f**5 + l*f**2 + 6*f = 0. What is f?
-1, 0, 2
Factor -8/9*k - 2/9 - 2/9*k**4 - 8/9*k**3 - 4/3*k**2.
-2*(k + 1)**4/9
Let p(r) = r**4 + 2*r**3 - 3*r**2 + 3*r. Let b = -9 - -6. Let q(t) = -t**5 + t**4 - t**3 + t**2 - t. Let k(o) = b*q(o) - p(o). Factor k(x).
x**3*(x - 1)*(3*x - 1)
Let x be (4 + -10 + (-31)/(-5))*7. Factor -x*g + 3/5*g**2 + 2/5.
(g - 2)*(3*g - 1)/5
Let a(g) be the third derivative of g**5/270 - 2*g**4/27 + 16*g**3/27 - 6*g**2. Factor a(r).
2*(r - 4)**2/9
Let p(a) be the first derivative of a - 1/2*a**4 - a**2 - 1 + 4/3*a**3. Let q(s) be the first derivative of p(s). Factor q(g).
-2*(g - 1)*(3*g - 1)
Let w(q) be the third derivative of q**8/5040 + q**7/2520 - q**6/1080 - q**5/360 - q**3/6 + 5*q**2. Let v(p) be the first derivative of w(p). Factor v(c).
c*(c - 1)*(c + 1)**2/3
Let v(p) be the second derivative of 0*p**5 + 1/3*p**2 + 0*p**3 + 5*p - 1/9*p**4 + 1/45*p**6 + 0. What is b in v(b) = 0?
-1, 1
Let h = 48 - 46. Let c(p) be the second derivative of -1/3*p**3 + h*p - 1/10*p**5 + 0 + 1/4*p**4 + 1/4*p**2 + 1/60*p**6. Factor c(d).
(d - 1)**4/2
Let a(f) = -f**3 + 2*f**2 + 2*f - 3. Let b be a(2). Let d(k) = 4*k**3 - k**2 - k + 1. Let v be d(b). Suppose -2/11*q**v - 2/11*q**2 + 4/11*q + 0 = 0. What is q?
-2, 0, 1
Let c(t) be the first derivative of -2*t - 2/3*t**3 + 2*t**2 - 2. Determine q, given that c(q) = 0.
1
Let y(u) be the first derivative of -u**3/3 - 3. Determine n so that y(n) = 0.
0
Let o = 36 + -28. Factor 5*k**4 - 9*k**3 + k + 7*k**2 + o*k**5 - 9*k**5 - 3*k.
-k*(k - 2)*(k - 1)**3
Suppose -5*i - 8 = -3. Let w be (i - -3) + 0 + 1. Factor w*o**5 + 18*o**3 - 10*o**4 + 2*o**2 - 16*o**4 + 7*o**5 - 4*o.
2*o*(o - 1)**3*(5*o + 2)
Let b(g) be the first derivative of g**7/2520 + g**6/360 + g**5/180 - 2*g**3/3 - 4. Let t(w) be the third derivative of b(w). Determine i so that t(i) = 0.
-2, -1, 0
Let c(n) be the second derivative of n**6/120 - n**5/40 + n**3/12 - n**2/8 - 2*n. Factor c(r).
(r - 1)**3*(r + 1)/4
Let m be ((-7)/(-35))/((-12)/(-10)). Find h such that 0 + 1/6*h**2 + m*h = 0.
-1, 0
Let j(l) be the second derivative of -l**4/36 - 5*l**3/18 + l**2 - 7*l - 1. Solve j(c) = 0 for c.
-6, 1
Let w(g) be the second derivative of -g**5/4 + 3*g. Factor w(b).
-5*b**3
Let w(k) be the second derivative of -1/12*k**4 + 0 - 1/40*k**5 + 0*k**3 - 8*k + 1/84*k**7 + 0*k**2 + 1/30*k**6. Let w(p) = 0. Calculate p.
-2, -1, 0, 1
Suppose -2*v = 3*s, 4*s + 0 - 2 = -2*v. Factor y - 5*y + 3*y**4 + y**5 - 1 - 2*y**2 + y + s*y**3.
(y - 1)*(y + 1)**4
What is h in -9/2*h**3 + 113/2*h - 19/2 - 165/2*h**2 = 0?
-19, 1/3
Let c = -15 + 18. Let l be 2/12*(4 + -2). Suppose -2/3 + l*q**4 - q**c + 1/3*q**2 + q = 0. What is q?
-1, 1, 2
Let p(x) be the first derivative of 21*x**4/4 - 22*x**3/9 - 35*x**2/6 - 2*x + 1. Suppose p(w) = 0. What is w?
-3/7, -2/9, 1
Let d(v) = -3*v**4 - 11*v**3 - 30*v**2 - 18*v + 2. Let x(g) = g**3 - g - 1. Let u(z) = -d(z) + 6*x(z). What is r in u(r) = 0?
-2, 1/3
Let m(f) be the first derivative of -f**6/240 + f**4/48 + 3*f**2/2 + 4. Let p(y) be the second derivative of m(y). Let p(i) = 0. Calculate i.
-1, 0, 1
Let a(t) be the first derivative of -2*t**6/3 - 4*t**5/5 + t**4 + 4*t**3/3 + 13. Factor a(z).
-4*z**2*(z - 1)*(z + 1)**2
Let n(g) be the third derivative of -g**8/70560 + g**7/8820 - g**5/30 - 2*g**2. Let b(p) be the third derivative of n(p). Factor b(x).
-2*x*(x - 2)/7
Let b(n) be the first derivative of n**4/10 + 8*n**3/15 + 4*n**2/5 + 11. Determine u, given that b(u) = 0.
-2, 0
Let i(l) be the second derivative of l**7/14 + 3*l**6/10 - 3*l**5/20 - 7*l**4/4 + 6*l**2 - l. Determ