= -0*h + 5*h - 15. Let z(u) = h*r(u) - 8*n(u). Factor z(p).
3*p**3
Let h(f) = -f**2 - 20*f - 15. Let t be h(-19). Let p(n) be the first derivative of 0*n**3 - 1/5*n**t + 2/5*n**2 - 2/25*n**5 - 2 + 2/5*n. Factor p(k).
-2*(k - 1)*(k + 1)**3/5
Let x(f) be the second derivative of -f**4/6 + 2*f**3 - 9*f**2 + 3*f. Factor x(j).
-2*(j - 3)**2
Let m(u) = -2*u**3 + 10*u**2 - 14*u + 3. Let s(r) = 4*r**3 - 20*r**2 + 28*r - 5. Suppose 14 + 0 = l. Let w(z) = l*m(z) + 6*s(z). Find j, given that w(j) = 0.
1, 3
Let a = -2272/5 - -456. Find s, given that -a*s**2 + 0 + 8/5*s + 2/5*s**3 = 0.
0, 2
Factor 1/3*w**2 + 5/3 - 2*w.
(w - 5)*(w - 1)/3
Let m be 0 + -1 - 15/(-14). Let o(s) be the first derivative of 0*s - m*s**4 - 2 - 1/7*s**2 + 4/21*s**3. Determine x, given that o(x) = 0.
0, 1
Factor -94*p**2 - 2*p**5 - 54 + 66*p**2 + 18*p**4 - 52*p**3 + 54*p + 64*p**2.
-2*(p - 3)**3*(p - 1)*(p + 1)
Let k(d) be the third derivative of 1/40*d**4 + 0*d + 0 - 4*d**2 - 1/200*d**6 + 0*d**5 + 0*d**3. Suppose k(y) = 0. Calculate y.
-1, 0, 1
Let t(p) be the first derivative of -14*p**3/39 - 4*p**2/13 - 21. Factor t(c).
-2*c*(7*c + 4)/13
Let x be (1/(-2))/(3/(-18)). Factor -10*y**4 - 5*y**x + 3*y**5 - 5*y**5 - 13*y**3 - 4*y + y**2 - 15*y**2.
-2*y*(y + 1)**3*(y + 2)
Let i(y) be the third derivative of -y**6/120 - y**5/15 - y**4/6 - 49*y**2. Find m, given that i(m) = 0.
-2, 0
Suppose 2*t = 5*b - 21, -t - 3 = -b - 0*b. Suppose 2 = -5*g - i, 0*i - t = -g + i. Find y such that 1/3*y + g + 1/3*y**2 = 0.
-1, 0
Let -3/8*v + 3/8*v**4 - 3/8*v**2 + 0 + 3/8*v**3 = 0. Calculate v.
-1, 0, 1
Let x = 4/1063 + 104162/3189. Let j = 33 - x. Find a, given that 0 + j*a + 1/3*a**2 = 0.
-1, 0
Let l(y) be the first derivative of -y**3/6 + 3*y**2/4 - y - 3. Solve l(p) = 0.
1, 2
Let o(z) be the first derivative of -4*z**5/35 + 16*z**3/21 + 20. Factor o(j).
-4*j**2*(j - 2)*(j + 2)/7
Factor -2/5*u - 1/5*u**2 + 3/5.
-(u - 1)*(u + 3)/5
Let l be (0 - (-13)/9) + -1. Suppose -202*j + 4 = -200*j. Factor -2/9*p**4 - 2/9*p + l*p**3 - 2/9 + 4/9*p**j - 2/9*p**5.
-2*(p - 1)**2*(p + 1)**3/9
Let w(z) be the third derivative of -1/504*z**8 - 1/9*z**4 + 0*z**3 - 2/105*z**7 + 0*z + 4*z**2 - 13/180*z**6 - 2/15*z**5 + 0. Factor w(s).
-2*s*(s + 1)**2*(s + 2)**2/3
Let q = 541 - 289. Let c be (-2)/12 + 114/q. Factor -c*p**4 - 2/7*p + 4/7*p**3 - 2/7*p**5 + 4/7*p**2 - 2/7.
-2*(p - 1)**2*(p + 1)**3/7
Factor 4/7*p**2 - 6/7 + 2/7*p**4 - 8/7*p**3 + 8/7*p.
2*(p - 3)*(p - 1)**2*(p + 1)/7
Let a = -1313/7 + 188. Solve -6/7*i + 0 - a*i**2 = 0.
-2, 0
Factor 0*j - 4*j**2 + 4/3*j**3 + 16/3.
4*(j - 2)**2*(j + 1)/3
Suppose -2*i + 4*i - 6 = 0. Factor 17*h - 4*h**3 + 0*h**i - 19*h + h**4 + 5*h**2.
h*(h - 2)*(h - 1)**2
Let h = 113/250 + 6/125. Suppose 2*f - 4 - 2 = 0. Solve 0 + 0*i + 0*i**2 - h*i**5 - 1/2*i**4 + 0*i**f = 0.
-1, 0
Suppose l = -5*a - 278, 3*a + 2*a = -4*l - 272. Let k be a/(-90) - (-2)/(-5). Factor -2/9*u + k*u**3 + 0*u**2 + 0.
2*u*(u - 1)*(u + 1)/9
Let s(f) be the first derivative of -2 + 0*f**2 - 3/20*f**5 - 1/12*f**3 - 3/16*f**4 + 0*f - 1/24*f**6. Let s(r) = 0. Calculate r.
-1, 0
Let i be (3/2)/((-6)/(-12)). Let w(m) be the third derivative of 1/12*m**4 - 1/60*m**6 - m**2 + 1/210*m**7 + 0 + 0*m**5 - 1/6*m**i + 0*m. Factor w(d).
(d - 1)**3*(d + 1)
Let a(r) be the second derivative of r**6/120 - r**4/8 + r**3/2 - 2*r. Let f(s) be the second derivative of a(s). Factor f(u).
3*(u - 1)*(u + 1)
Let i = 146 - 146. Solve 0 - 1/2*s**5 + s**3 - 1/2*s + 0*s**4 + i*s**2 = 0.
-1, 0, 1
Let k(v) = 5*v**2 + 58*v + 300. Let t(s) = 6*s**2 + 57*s + 300. Let m(l) = 3*k(l) - 2*t(l). Let m(a) = 0. What is a?
-10
Let g(v) = 2*v - 2. Let t be g(2). Factor -3*i**2 + i**2 - i**t.
-3*i**2
Let v(q) be the first derivative of 3*q**4/4 - 7*q**3 + 15*q**2 + 10. Factor v(d).
3*d*(d - 5)*(d - 2)
Let f(b) = -21*b**4 - 69*b**3 - 120*b**2 - 42*b. Let z(h) = 3*h**4 + 10*h**3 + 17*h**2 + 6*h. Let u(r) = 2*f(r) + 15*z(r). Determine j so that u(j) = 0.
-2, -1, 0
Let y(t) be the second derivative of -t**6/15 + t**4/3 - t**2 - 2*t - 36. What is m in y(m) = 0?
-1, 1
Let b = -3 + 3. Suppose c + 2*w + w + 8 = b, 19 = 4*c - 5*w. Suppose -6*u + u + 3*u + c + u**2 = 0. Calculate u.
1
Suppose 0 = 8*b - 38 + 22. Factor -4/11*o + 2/11 + 2/11*o**b.
2*(o - 1)**2/11
Let z(o) be the second derivative of -o**6/120 + o**5/20 - o**4/8 - 5*o**3/6 - 4*o. Let q(y) be the second derivative of z(y). Let q(u) = 0. What is u?
1
Suppose -d - 4 = -5*d. Let a = d + 4. Determine z, given that 8*z**2 + 3*z**a - 4*z**5 - z**5 - 6*z**4 = 0.
-2, 0, 1
Find g, given that 1/2*g**2 - 4*g + 8 = 0.
4
Suppose -3*j + 33 = -o - 2*o, 0 = 4*j - 2*o - 38. Let v(x) = -x**3 - 26*x**2 + 8. Let a(g) = -9*g**2 + 3. Let q(p) = j*a(p) - 3*v(p). Let q(m) = 0. Calculate m.
-2, 0
Factor 5/4*u**2 + 5/2 + 15/4*u.
5*(u + 1)*(u + 2)/4
Let v be 3/(36/(-8))*-18. Let z be v/(-54)*3/(-2). Factor -1/3 - 1/3*u + 1/3*u**3 + z*u**2.
(u - 1)*(u + 1)**2/3
Suppose -2*z = -4*z - 5*l + 15, 0 = 4*z - 3*l + 9. Let f = z + 3. Suppose 1 - c**2 - f*c + 0 - 3 = 0. What is c?
-2, -1
Let b = 156 - 156. Suppose 6/7*a**2 - 3/7*a**5 + 0 + 9/7*a**3 + 0*a + b*a**4 = 0. Calculate a.
-1, 0, 2
Let n(y) = y**2 + 2*y - 3. Let l be n(-4). Factor 3*g + 0*g**5 - 5*g**l - 6*g**2 + 6*g**4 + 2*g**5.
-3*g*(g - 1)**3*(g + 1)
Let n(s) be the first derivative of 2*s**5/7 + 17*s**4/4 + 346*s**3/21 - 30*s**2/7 - 72*s/7 + 29. Solve n(r) = 0.
-6, -2/5, 1/2
Let z(y) = -y**3 + 3*y**2 - y - 1. Let n be z(2). Let s = 1 + n. Factor -l**3 + 6*l - 4*l**s - 2*l**5 - l**3 - 2*l**3 + 6*l**4 - 2.
-2*(l - 1)**4*(l + 1)
Factor g - 2*g**3 + 0*g + 14*g**5 - 13*g**5.
g*(g - 1)**2*(g + 1)**2
Let h be 1/((6/15)/2). Suppose -3*x**4 + 9*x**3 + 3*x - h*x**4 + 0*x**4 - 9*x**2 + 5*x**4 = 0. Calculate x.
0, 1
Let s(r) be the first derivative of 2*r**3/3 - 2*r**2 - 6*r - 10. Factor s(f).
2*(f - 3)*(f + 1)
Let q(g) = g**3 - 2*g - 1. Let f be q(2). Let r(u) be the third derivative of 0*u**4 - 1/120*u**6 + u**2 + 1/20*u**5 + 0 - 2/3*u**f + 0*u. Factor r(l).
-(l - 2)**2*(l + 1)
Determine o so that -3*o + 3*o - 2*o**3 + 4*o + 0*o**3 - 2*o**2 = 0.
-2, 0, 1
Let k(g) = -5*g**2 - 5*g. Let d(i) = -7*i**2 - 15*i. Let z(w) = -6*w**2 - 16*w. Let p(q) = -5*d(q) + 4*z(q). Let c(x) = 9*k(x) + 4*p(x). Factor c(j).
-j*(j + 1)
Let h(g) be the first derivative of g**4/12 - g**3/9 - g**2/6 + g/3 + 3. Find w, given that h(w) = 0.
-1, 1
Let a(d) be the second derivative of -d**4/42 - 13*d**3/21 + 16*d. Factor a(t).
-2*t*(t + 13)/7
Suppose y = -3*u - 16, -5*u - 24 = 2*y - y. Let n(d) = -8*d + 9 + 0*d - 2*d**2 + d. Let g(v) = v**2 + 3*v - 4. Let i(q) = y*n(q) - 9*g(q). Factor i(z).
-z*(z - 1)
Factor 211 + 4*x**2 - 355*x + 113 + 427*x.
4*(x + 9)**2
Let m(z) be the first derivative of z**6/360 - z**5/20 + 3*z**4/8 + 4*z**3/3 - 6. Let h(j) be the third derivative of m(j). Factor h(i).
(i - 3)**2
Factor -6 - 10*p - 52*p**2 + p + 49*p**2.
-3*(p + 1)*(p + 2)
Let s = 2176/1953 + 8/279. Find l such that 4/7*l**4 - s + 4/7*l**3 - 20/7*l - 12/7*l**2 = 0.
-1, 2
Solve -4/5*s**4 + 0 - 4/5*s**3 + 4/5*s**2 + 4/5*s = 0.
-1, 0, 1
Solve 44/5*u**2 - 26/5*u + 14/5*u**4 - 2/5*u**5 - 36/5*u**3 + 6/5 = 0 for u.
1, 3
Suppose -2*t = -5*t + 9. Let f = 4 - t. Factor 3*c**4 - 3*c - 3*c**5 - f - c**2 + 4*c**5 - c**2 + 2*c**3.
(c - 1)*(c + 1)**4
Let b(g) be the second derivative of 9*g + 1/18*g**4 - 2/9*g**3 + 0 + 1/3*g**2. Factor b(u).
2*(u - 1)**2/3
Factor -44/3*n**3 - 8/3*n**2 - 14/3*n**4 + 0*n + 0 + 49*n**5.
n**2*(3*n - 2)*(7*n + 2)**2/3
Let s(w) be the second derivative of -5*w**4/12 + 10*w**2 + 24*w. Solve s(h) = 0.
-2, 2
Factor 2/11 - 4/11*c**3 + 4/11*c**2 - 6/11*c**4 + 6/11*c - 2/11*c**5.
-2*(c - 1)*(c + 1)**4/11
Let x be 9/24 - 1/8. Let -3/4*u**4 + 0*u - 1/4*u**2 + 3/4*u**3 + 0 + x*u**5 = 0. What is u?
0, 1
Let g(i) = -3*i**3 - 2*i**2 - 2*i - 1. Let t be g(-1). Suppose 0 = 11*a - 17 - 5. Factor -4/5 + t*o - a*o**3 + 4/5*o**2.
-2*(o - 1)*(o + 1)*(5*o - 2)/5
Let m(r) = -35 + 19 + 15. Let s(a) = -7*a**2 + a + 8. Let d(u) = u + 1. Let g(b) = 3*d(b) - s(b). Let v(i) = 2*g(i) - 10*m(i). Determine l so that v(l) = 0.
-2/7, 0
Let k(f) = 2*f**3 + 13*f**2 - 7*f - 8. Let v(d) = 2*d**3 + 12*d**2 - 6*d - 8. Let c = -18 + 11. Let b(n) = c*v(n) + 6*k(n). Factor b(u).
-2*(u - 1)*(u + 2)**2
Let o = 511 + -507. Let n be (3/2)/(1/2). Factor 1/2*c - 1/2*c