hat 2*h**3 + 2*h**2 + 2*h + p*h**3 + 10*h**5 + 11*h**2 + 29*h**4 = 0.
-1, -1/2, -2/5, 0
Let l be (0/(2/(-2)))/(-2). Suppose 4*s + 30 = 5*w, -12 = -w + 3*s - s. Factor l*f**2 - 2*f + 2*f**3 + 4 - 4*f**w + 0*f**2.
2*(f - 2)*(f - 1)*(f + 1)
Solve 12/7*f - 3/7*f**2 - 9/7 = 0.
1, 3
Let l be -1 + 6 - (-20)/50*-5. Find n such that -3/2*n**5 + 3/2*n**4 + 0 - 3/2*n**2 + 0*n + 3/2*n**l = 0.
-1, 0, 1
Let w(l) be the second derivative of -l**7/42 - 7*l**6/40 - 37*l**5/80 - l**4/2 - l**3/6 + 21*l. Determine t so that w(t) = 0.
-2, -1, -1/4, 0
Let c(w) be the second derivative of 2*w**5/15 - w**4/2 + 2*w**3/3 - w**2/3 + 4*w. Factor c(i).
2*(i - 1)**2*(4*i - 1)/3
Let d(w) be the first derivative of 4*w**5/5 - 8*w**3/3 + 4*w + 8. Factor d(p).
4*(p - 1)**2*(p + 1)**2
Suppose 0 = 4*u - a + 2*a, -4*u + 2*a = 0. Factor 24/13*n**3 - 12/13*n**2 + 6/13*n**5 - 20/13*n**4 + u + 2/13*n.
2*n*(n - 1)**3*(3*n - 1)/13
Let o(i) be the third derivative of -i**7/1260 - i**6/60 - 3*i**5/20 - 5*i**4/24 - 5*i**2. Let k(b) be the second derivative of o(b). Find q such that k(q) = 0.
-3
Let s(i) be the third derivative of i**6/18 - i**5/15 - 5*i**4/18 + 2*i**3/3 + 17*i**2. Suppose s(z) = 0. Calculate z.
-1, 3/5, 1
Let m(r) be the second derivative of 1/120*r**6 + 0*r**4 + 1/40*r**5 + 0 + 0*r**2 + 0*r**3 - 1/168*r**7 - 3*r. Factor m(t).
-t**3*(t - 2)*(t + 1)/4
Let x be (-130)/(-42) + (-26)/273. Solve d**2 - 1 + 1/2*d**x - 1/2*d = 0 for d.
-2, -1, 1
Suppose 0 = 2*r + 3*o - 3, 0*r - 3*r + 14 = -5*o. Suppose -2/7*w**2 + 2/7 - 2/7*w**r + 2/7*w = 0. What is w?
-1, 1
Let m(f) = -2*f**4 + 34*f**3 - 24*f**2 - 6*f - 22. Let y(t) = t**3 - t - 1. Let v(w) = 2*m(w) - 44*y(w). Find j such that v(j) = 0.
0, 2
Factor 6*d - 7/2*d**2 + 2.
-(d - 2)*(7*d + 2)/2
Let d = 40 - 40. Let o(f) be the first derivative of -1/20*f**5 + 0*f + 0*f**2 + 1/12*f**3 + 2 + d*f**4. Factor o(m).
-m**2*(m - 1)*(m + 1)/4
Let f = 361 - 2517/7. Factor -4/7 - f*n**3 + 4/7*n**2 + 10/7*n.
-2*(n - 1)*(n + 1)*(5*n - 2)/7
Factor 1/3*k + 0 - 1/3*k**2.
-k*(k - 1)/3
Let p(s) be the first derivative of -s**4/10 + 16*s**3/15 - 21*s**2/5 + 36*s/5 - 23. Solve p(n) = 0.
2, 3
Factor 25*s**4 - 32/5 + 70*s**3 - 108*s**2 + 232/5*s.
(s + 4)*(5*s - 2)**3/5
Suppose 3*p = -2*w - 9, -2*p - 2*w - 6 = -w. Let j be 2*(-2)/4*p. Solve -4*s**3 - 10*s**2 - 4*s**j + 6*s + 2*s**3 + 2 + 8*s**4 = 0.
-1, -1/4, 1
Let x(n) = n**2 - 3*n + 2. Let j(d) = -2*d**2 + 5*d - 3. Let f(m) = -3*j(m) - 5*x(m). Find q, given that f(q) = 0.
-1, 1
Let t(d) = -d**3 - 5*d**2 + 5. Let p be t(-5). Factor -j**3 - 4*j**3 + 2*j**p - 2*j**4 + 10*j**2 - 4*j + 0*j**3 - j**3.
2*j*(j - 1)**3*(j + 2)
Let i(u) = -11*u**2 - 200*u + 211. Let v(q) = -3*q**2 - 50*q + 53. Let m(c) = -2*i(c) + 9*v(c). Factor m(f).
-5*(f - 1)*(f + 11)
Let w(v) be the first derivative of v**7/105 + v**6/30 - v**4/6 - v**3/3 - v**2 + 2. Let s(o) be the second derivative of w(o). What is x in s(x) = 0?
-1, 1
Suppose k = 2*k - 5. Suppose -3*v = k*h - 7, -v - 2*h = 2*v - 10. Factor 0 - 7/4*m**2 - 3/4*m**v + 2*m**3 + 1/2*m.
-m*(m - 1)**2*(3*m - 2)/4
Let r(f) be the first derivative of 2*f**5/25 + 36*f**4/5 + 1296*f**3/5 + 23328*f**2/5 + 209952*f/5 + 56. Factor r(u).
2*(u + 18)**4/5
Let g(t) be the first derivative of 1/20*t**4 - 1 + 2/15*t**3 + 0*t + 1/10*t**2. Factor g(r).
r*(r + 1)**2/5
Let v = 225 - 225. Factor 6/7*i**3 + 0 + 2/7*i**5 + v*i - 6/7*i**4 - 2/7*i**2.
2*i**2*(i - 1)**3/7
Let y(z) = -1 + 7*z**2 - 4*z**3 - 6*z**4 + 4*z**5 - 2 - 3*z**4. Let k(g) = -g**5 + g**4 - g**2 + g + 1. Let v(m) = -5*k(m) - y(m). Solve v(t) = 0 for t.
-2, -1, 1
Suppose 3*v = 149 + 655. Let q = v - 1334/5. Determine o, given that -2/5*o**2 - q*o - 4/5 = 0.
-2, -1
Let s be (3765/4)/(33/8). Let t = s - 228. Suppose 2/11*w - t*w**2 + 2/11 - 2/11*w**3 = 0. Calculate w.
-1, 1
Let h(g) = g + 1. Let q(r) = r**2 + 7*r + 6. Suppose 5*w + 4*u + 45 = -u, 5*w = 4*u. Let s(l) = w*h(l) + q(l). Factor s(d).
(d + 1)*(d + 2)
Let 42*g**4 + 3*g**3 - 37*g**4 + 30 + 2*g**3 - 35*g**2 - 5*g = 0. What is g?
-3, -1, 1, 2
Let c(h) be the first derivative of -2/15*h**3 + 2/25*h**5 + 0*h**2 + 3 + 0*h + 0*h**4. Find b such that c(b) = 0.
-1, 0, 1
Suppose b - 16 = -4*s, -s + 10 = 2*b - 1. Suppose -2/3*t**s - 2*t**2 + 0 - 4/3*t = 0. Calculate t.
-2, -1, 0
Let z = -4 - 1. Let x(h) = h**2 + 6*h + 5. Let c be x(z). Factor c + 15/2*o**3 - o + 7/2*o**5 + 19/2*o**4 + 1/2*o**2.
o*(o + 1)**3*(7*o - 2)/2
Let i = 28 + -83/3. Let b(w) be the second derivative of -5/2*w**4 - 7/15*w**6 - i*w**3 + 0 + 2*w**2 - 19/10*w**5 - w. Factor b(h).
-2*(h + 1)**3*(7*h - 2)
Let a(y) = 2*y**2 + 2*y. Let t(f) = -f**2 - 5*f + 3*f - 7 + 6*f**2. Let l(q) = q**2 - 1. Let z(x) = 14*l(x) - 2*t(x). Let k(h) = 9*a(h) - 4*z(h). Factor k(j).
2*j*(j + 1)
Factor 2/11*d**3 - 2/11*d**2 + 0 + 2/11*d**4 - 2/11*d.
2*d*(d - 1)*(d + 1)**2/11
Let d = -23/3 + 167/21. Let l be ((-92)/(-252) + 4/(-28))*9. Solve -d*c**4 + 0 + 0*c**3 + 2/7*c**l + 0*c = 0.
-1, 0, 1
Let h be 10/6*6/8. Factor -1/4*o**3 + 1 - 2*o + h*o**2.
-(o - 2)**2*(o - 1)/4
Let p be (-34)/(-6) + (-4)/6 - 1. Factor 0 - 2/7*a**2 + 8/7*a**3 + 0*a - 6/7*a**p.
-2*a**2*(a - 1)*(3*a - 1)/7
Let -2/5 + 2*h**2 + 8/5*h = 0. Calculate h.
-1, 1/5
Let i(t) be the second derivative of -t**7/3360 + t**5/480 - t**3/2 - 3*t. Let y(g) be the second derivative of i(g). Factor y(x).
-x*(x - 1)*(x + 1)/4
Factor 2/5*u**2 + 0 + 2/5*u.
2*u*(u + 1)/5
Let a = 378/485 - -2/97. Let c(k) = -k**2 + 9*k + 22. Let z be c(-2). Factor a*o**2 - 2/5*o + z.
2*o*(2*o - 1)/5
Let w(t) be the third derivative of -t**7/2940 + t**6/630 - t**5/420 + t**3/3 - 3*t**2. Let d(b) be the first derivative of w(b). Factor d(m).
-2*m*(m - 1)**2/7
Factor 5/3*y**4 + 0*y**2 + 0 + 5/3*y**3 + 0*y.
5*y**3*(y + 1)/3
Let i(y) be the first derivative of -y**8/2520 - 2*y**7/1575 + y**5/225 + y**4/180 + 3*y**2/2 + 5. Let u(a) be the second derivative of i(a). Factor u(r).
-2*r*(r - 1)*(r + 1)**3/15
Let a be (0*2/6)/(-1). Suppose -t = -a*t - 2. Factor h**2 + h**2 + 2*h + t*h**3 - 2*h.
2*h**2*(h + 1)
Let q = -11 + 11. Factor -3*i**3 + 4*i + 5*i + 2 + 2*i**2 - 2*i + q.
-(i - 2)*(i + 1)*(3*i + 1)
Suppose -4*o = -5*l + 6, 0 = 2*l + l + o - 7. Factor 0 - 9*k**2 + 2*k + 0 + 4*k**l.
-k*(5*k - 2)
Let z(x) be the first derivative of -x**5/120 - x**4/24 - x**3/12 - 3*x**2/2 - 1. Let c(t) be the second derivative of z(t). Solve c(b) = 0 for b.
-1
Let t(v) = -v + 20. Let d be t(13). Let g be 8/15*(d - 2). Factor 2*q**2 - 2/3*q**3 - g + 0*q.
-2*(q - 2)**2*(q + 1)/3
Suppose -1/4*m**3 + 0 + 1/4*m + 0*m**2 = 0. Calculate m.
-1, 0, 1
Suppose 30 = 3*f - 6*f - 3*a, -f + 2*a - 4 = 0. Let d = f + 8. Factor d*o + 1/4*o**2 - 1/4*o**3 + 0.
-o**2*(o - 1)/4
Let c(s) = -5*s - 3. Let p be c(-1). Factor 2/7*k**4 - 2/7*k + 2/7 + 4/7*k**3 - 4/7*k**p - 2/7*k**5.
-2*(k - 1)**3*(k + 1)**2/7
Let h = 161/25 + -57/50. Let a = 17/2 - h. Factor -4/5 + a*b**2 + 2*b**3 + 2/5*b.
2*(b + 1)**2*(5*b - 2)/5
Let c(w) be the first derivative of -w**6/15 - w**5/10 + w**4/6 + w**3/3 + 3*w + 1. Let f(i) be the first derivative of c(i). Factor f(q).
-2*q*(q - 1)*(q + 1)**2
Let w(b) be the first derivative of -1/6*b**4 + 0*b + 1 - 1/3*b**2 - 4/9*b**3. Let w(r) = 0. Calculate r.
-1, 0
Let p(w) be the first derivative of -3/4*w - 1/4*w**3 + 7 - 5/4*w**2. What is l in p(l) = 0?
-3, -1/3
Let n = -798 + 800. Find h such that 1/2*h**n - 1/2*h**4 + 0 + 1/2*h - 1/2*h**3 = 0.
-1, 0, 1
Let w(l) be the second derivative of -l**5/30 - l**4/3 - 5*l**3/9 + 2*l. Factor w(j).
-2*j*(j + 1)*(j + 5)/3
Let h be (44/66)/((-22)/(-24)). Factor 2/11 + h*v**3 + 2/11*v**4 + 12/11*v**2 + 8/11*v.
2*(v + 1)**4/11
Let o be (2 + 2 + -4)/3. Let z(i) be the second derivative of 1/40*i**5 - 2*i + o - 1/48*i**4 + 0*i**3 + 0*i**2 - 1/120*i**6. Suppose z(u) = 0. Calculate u.
0, 1
Factor -6*z**3 + 159*z + 21*z**2 - 1 - 175*z - 3*z**3 + 5.
-(z - 1)*(3*z - 2)**2
Let l(a) = 8*a - 32. Let v be l(4). Factor 0 + 2/3*i**5 + v*i**2 + 0*i**3 + 2/3*i**4 + 0*i.
2*i**4*(i + 1)/3
Suppose 0 - 6 = -3*y. Factor -2*m**4 + 2*m**4 - 3*m**3 - y*m**4 + m**3.
-2*m**3*(m + 1)
Factor 0*o**2 - 6*o**3 + 161*o**5 + 0*o**3 - 3*o - 160*o**5 - 8*o**2.
o*(o - 3)*(o + 1)**3
Factor 2/5*q + 0*q**2 + 0 - 2/5*q**3.
-2*q*(q - 1)*(q + 1)/5
Let m = 249/77 + -23/11. Factor 0 + m*c**4 - 2/7*c**5 + 8/7*c**2 - 12/7*c**3 - 2/7*c.
-2*c*(c - 1