**3/3 - 5*b**2. Let z(y) be the first derivative of u(y). Solve z(h) = 0.
1
Let h = -57 + 287/5. Let v = 3 + -1. Factor -h*k - 1/5*k**v - 1/5.
-(k + 1)**2/5
Suppose 0 = 2*u + 5*z + 1, 3*z - 5 = 2*u - 6*u. Factor 1/3*d**4 + 0*d + 1/3*d**u + 0 - 2/3*d**3.
d**2*(d - 1)**2/3
Let g(h) be the third derivative of -h**5/360 - h**4/72 + 21*h**2. What is r in g(r) = 0?
-2, 0
Let p(o) be the third derivative of -o**6/540 + o**5/270 + o**4/54 - 17*o**2. Factor p(y).
-2*y*(y - 2)*(y + 1)/9
Suppose 2*o + 6 = 0, -5 = h - 0*h + 3*o. Suppose 9*z = h*z. Factor -w**3 - 1/2*w + 3/2*w**2 + z.
-w*(w - 1)*(2*w - 1)/2
Let m(r) be the second derivative of -r**7/3780 + r**6/540 - r**5/270 + r**3/6 - 4*r. Let u(i) be the second derivative of m(i). Find l such that u(l) = 0.
0, 1, 2
Let v = -22 + 328. Let m = -2134/7 + v. Suppose -2/7*w**2 - m + 8/7*w = 0. What is w?
2
Let x be (-2)/3 + (-132)/(-36). Factor -2/3*q**x + 2/3*q + 2/3*q**4 - 2/3*q**2 + 0.
2*q*(q - 1)**2*(q + 1)/3
Let o(k) = -25*k**3 - 25*k**2 - 35*k - 15. Let m(h) = h**3 - h**2 + h + 1. Let p(w) = -10*m(w) - o(w). Factor p(i).
5*(i + 1)**2*(3*i + 1)
Suppose 2*k + 5 = -5*s - 20, 2*k + 4*s = -20. Suppose -o + 0 + 4 = k. Factor o*w**2 - 2*w**2 - w**2 - w**3.
-w**2*(w - 1)
Let y(o) be the third derivative of 1/210*o**7 + 0*o**5 + 0*o + 0*o**6 + 0*o**3 + 4*o**2 + 0 + 1/336*o**8 + 0*o**4. Find s, given that y(s) = 0.
-1, 0
Let k(v) be the third derivative of 0*v - 1/30*v**4 + 9*v**2 - 1/5*v**3 + 1/150*v**5 + 0. Factor k(o).
2*(o - 3)*(o + 1)/5
Let x(p) be the third derivative of p**8/60480 - p**6/2160 + p**5/30 - 2*p**2. Let f(l) be the third derivative of x(l). Factor f(o).
(o - 1)*(o + 1)/3
Suppose -3*x = -x. Let f(s) be the second derivative of 0*s**4 + s + 0 + x*s**2 + 1/30*s**5 + 0*s**3. Factor f(t).
2*t**3/3
Factor 10*a**3 + 5*a**4 - 4*a**2 - a**2 - 1113*a + 1103*a.
5*a*(a - 1)*(a + 1)*(a + 2)
Let q(b) be the second derivative of b**6/135 + 4*b**5/45 + b**4/9 - 8*b**3/27 - 7*b**2/9 + 30*b. Solve q(t) = 0.
-7, -1, 1
Let w be 2/(-3)*(-90)/70. Let j = w + -4/21. Let 0 + 0*h + j*h**3 + 4/3*h**2 = 0. What is h?
-2, 0
Let y(t) be the second derivative of -3*t**5/4 - 55*t**4/12 - 5*t**3 - 16*t. Let y(v) = 0. Calculate v.
-3, -2/3, 0
Let l(h) be the third derivative of h**8/84 + h**7/35 - h**6/60 - h**5/10 - h**4/12 - 8*h**2. Suppose l(b) = 0. Calculate b.
-1, -1/2, 0, 1
Let 76/5*t**3 - 18/5*t**4 + 12/5*t + 0 - 14*t**2 = 0. Calculate t.
0, 2/9, 1, 3
Let a(j) be the third derivative of -1/20*j**6 + 7/30*j**5 + 0 + j**2 + 1/3*j**3 - 5/12*j**4 + 0*j. Determine u so that a(u) = 0.
1/3, 1
Let v be (-9)/6*(6/27)/(-1). Let -v*u - 4/3*u**5 + 0 - 2/3*u**2 + 4/3*u**4 + u**3 = 0. Calculate u.
-1/2, 0, 1
Let d be 0 - -2 - (2 - -4). Let t be (12/(-9))/d*1. Solve 0*b - t*b**2 + 1/3 = 0.
-1, 1
Let q(g) be the second derivative of 49/90*g**6 + 0*g**2 - 7/15*g**5 + g + 0 + 1/9*g**4 + 0*g**3. Suppose q(n) = 0. What is n?
0, 2/7
Suppose 0 = -14*o + 19*o. Let a(k) be the second derivative of 0*k**4 - 1/30*k**6 + k - 1/20*k**5 + 0 + o*k**2 + 0*k**3. Find f, given that a(f) = 0.
-1, 0
Let t = 4 + -16/5. Factor t*p**3 - 2/5 + 2/5*p**5 + 6/5*p**4 - 4/5*p**2 - 6/5*p.
2*(p - 1)*(p + 1)**4/5
Let l = -6 - -10. Suppose -2*n + 8 = l*y, -2*n = 5*y - 0*y - 10. Let -2*s**4 + 0*s**3 + 4*s**3 + n*s**3 = 0. What is s?
0, 2
Factor 0 + 2/9*b**3 + 0*b**2 + 0*b + 2/9*b**5 - 4/9*b**4.
2*b**3*(b - 1)**2/9
Let q(r) be the third derivative of -7*r**6/60 - 3*r**5/10 - r**4/6 + 2*r**2. Factor q(o).
-2*o*(o + 1)*(7*o + 2)
Determine w so that -2/19*w**2 - 8/19 + 10/19*w = 0.
1, 4
Factor 2/5*d - 1/5*d**2 - 1/5.
-(d - 1)**2/5
Let n(i) be the second derivative of i**4/6 - 2*i**2 - 10*i. Let s be n(-2). Factor 4/5*q**2 + 1/5*q**s + 0 + 0*q + 4/5*q**3.
q**2*(q + 2)**2/5
Let z(u) = -3*u**3 - 2*u**2 + u + 4. Let x(t) = 4*t**3 + 2*t**2 - t - 5. Let d(p) = -4*x(p) - 6*z(p). Let d(g) = 0. Calculate g.
-2, -1, 1
Let i(h) = -5*h**4 - 5*h**3 - h**2 - 1. Let b(l) = l**4 + l**3 + l**2 + 1. Let j(u) = -b(u) - i(u). Determine k so that j(k) = 0.
-1, 0
Let r(v) be the second derivative of v**7/210 - 7*v**6/360 + v**5/60 + v**4/24 - v**3/6 + v. Let a(x) be the second derivative of r(x). What is q in a(q) = 0?
-1/4, 1
Let m(b) = -b**3 + 19*b**2 - 16*b - 36. Let h be m(18). Let -2/7*k**3 + h - 2/7*k**2 + 0*k = 0. What is k?
-1, 0
Let x(y) = -4*y**2 + 5*y + 13. Let g(f) = -3*f**2 + 4*f + 9. Let q(m) = -7*g(m) + 5*x(m). Factor q(r).
(r - 2)*(r - 1)
Let 3/2*f**2 - 12*f + 24 = 0. What is f?
4
Suppose -i - 5 = 0, -3*q = -5*i + 8 - 51. Determine k, given that 3*k**3 + q*k + 1/2*k**4 + 2 + 13/2*k**2 = 0.
-2, -1
Factor -4958 + 4958 - 20*d - 20*d**4 + 20*d**2 + 15*d**3 + 5*d**5.
5*d*(d - 2)**2*(d - 1)*(d + 1)
Suppose 108*k**2 + 2*k - 12 + 8*k - 106*k**2 = 0. What is k?
-6, 1
Let z(n) be the second derivative of -1/24*n**4 + n**2 + 1/6*n**3 + n + 0 + 1/120*n**6 - 1/60*n**5. Let i(o) be the first derivative of z(o). Solve i(l) = 0.
-1, 1
Let -2 + 2 + 4*g + 8*g**4 + 28*g**3 - 40*g**3 = 0. Calculate g.
-1/2, 0, 1
Let b(x) be the second derivative of -x**4/24 + x**3/2 - 5*x**2/4 + 12*x. Factor b(z).
-(z - 5)*(z - 1)/2
Suppose 0*r = 3*r - 12. Let y(j) be the first derivative of 1/15*j**3 + 0*j**2 + 0*j + 2 - 1/30*j**6 + 1/20*j**r - 1/25*j**5. Factor y(t).
-t**2*(t - 1)*(t + 1)**2/5
Let t(z) be the second derivative of -z**7/7560 - z**6/1080 + 5*z**4/12 - 2*z. Let q(d) be the third derivative of t(d). Factor q(b).
-b*(b + 2)/3
Let 0*n**2 + 0 - 4/7*n**3 + 0*n = 0. Calculate n.
0
Let x be (-3 - -2)/((-2)/4). Suppose -3*z = 2*z - 2*a - 9, 21 = x*z + 5*a. Suppose -d + 0*d**2 - 1/2 + d**z + 1/2*d**4 = 0. Calculate d.
-1, 1
Let o(w) be the first derivative of 1/2*w**2 - 1/4*w**4 + w - 1 - w**3 + 2/5*w**5. Factor o(s).
(s - 1)**2*(s + 1)*(2*s + 1)
Let z(s) be the first derivative of -s**3 + 9*s**2/2 - 6*s + 18. Suppose z(u) = 0. Calculate u.
1, 2
Let n(t) = -3*t**4 + 11*t**3 + 4*t**2 - 5. Let m(k) = -2*k**4 + 6*k**3 + 2*k**2 - 3. Let r(c) = -5*m(c) + 3*n(c). Factor r(p).
p**2*(p + 1)*(p + 2)
Let v = 19945/6 + -3315. Let u = v - 15/2. Factor u*p**2 + 2/3*p + 4/3*p**3 + 0 + 1/3*p**4.
p*(p + 1)**2*(p + 2)/3
Let x be (3/(9/(-120)))/(-1). Let j be (5/(x/12))/3. Solve j*b**5 - 1/2 - 3/2*b + 3/2*b**4 + b**3 - b**2 = 0 for b.
-1, 1
Suppose -10 - 5 = -5*x. Suppose -2*p + 130 = x*p. Determine a so that -24*a**3 + 1 + 2 - p*a**2 - 1 = 0.
-1, -1/3, 1/4
What is b in 3*b**2 - 4*b - 5*b - 2*b + 5*b = 0?
0, 2
Let r(s) = 9*s + 29. Let k be r(-3). Let l(y) be the second derivative of 5/3*y**3 + 1/10*y**5 + 2*y**2 + 0 - k*y + 2/3*y**4. Factor l(a).
2*(a + 1)**2*(a + 2)
Let n(r) = 3*r**3 + 19*r**2 + 7*r + 8. Let l be n(-6). Suppose -1/6*s**l - 3/2 - s = 0. What is s?
-3
Let k = -336 - -339. Factor 2/11*w**5 + 0 - 2/11*w - 4/11*w**2 + 4/11*w**4 + 0*w**k.
2*w*(w - 1)*(w + 1)**3/11
Let n(o) be the third derivative of o**5/20 - o**3/2 - 5*o**2. Determine y, given that n(y) = 0.
-1, 1
Let t be ((-7)/(-21))/((-21)/(-18)). Factor 0 + t*k - 2/7*k**2.
-2*k*(k - 1)/7
Let w(p) be the second derivative of p + 0*p**2 + 0*p**4 + 1/40*p**5 - 1/120*p**6 + 0*p**3 + 0. What is c in w(c) = 0?
0, 2
Let y be (-20*(-17)/(-204))/(10/(-12)). Factor 2/7*w**y + 8/7 - 8/7*w.
2*(w - 2)**2/7
Let h be 2/((2 - 0)/2). Let 0 + 109/2*l**3 + h*l + 63*l**4 + 18*l**2 + 49/2*l**5 = 0. What is l?
-1, -2/7, 0
Factor 6/7 + 3/7*l - 3/7*l**2.
-3*(l - 2)*(l + 1)/7
Factor 0*f + 0 + 3/4*f**3 + 3/4*f**2.
3*f**2*(f + 1)/4
Let h be (-1 - 19)/(14/(-21)). Let l be (-5)/3*(-6)/h. Factor 0 + 1/3*i**2 - 1/3*i**4 - l*i + 1/3*i**3.
-i*(i - 1)**2*(i + 1)/3
Suppose 2/3*d - 2/3 - 2/3*d**3 + 2/3*d**2 = 0. Calculate d.
-1, 1
Let t(p) = p**2 + 4*p + 1. Let q be t(-4). Let d = 2 + q. Factor 2*z**4 - 2*z**d - 2*z**2 + 0*z**5 + 4*z**5 - 2*z**5.
2*z**2*(z - 1)*(z + 1)**2
Let p(h) = h - 1. Let m(k) = -9*k**2 + 12*k - 3. Suppose -1 = -j - 0. Let g(z) = j*m(z) - 6*p(z). Determine f so that g(f) = 0.
-1/3, 1
Let l(v) be the second derivative of 0*v**3 + 1/4*v**4 - 3/2*v**2 + 0 + 10*v. Factor l(h).
3*(h - 1)*(h + 1)
Let t(x) be the first derivative of x**6/21 - x**4/7 + x**2/7 - 11. Solve t(k) = 0.
-1, 0, 1
Let k(x) be the third derivative of -x**5/210 + x**4/42 - 2*x**2 + 23*x. Suppose k(y) = 0. Calculate y.
0, 2
Let i = -122 + 125. Determine q, given that -1/3*q**i - 2/3*q**2 + 0 - 1/3*q 