 - w**2/2 - 3*w + 2. Let k(b) be the first derivative of c(b). Factor k(s).
(s - 1)*(s + 1)**3
Let u be 14*3*3/(-36). Let i = u + 23/6. Factor i*m**3 + 1/3*m**2 - 1/3*m - 1/3.
(m - 1)*(m + 1)**2/3
Let a(o) be the second derivative of 0 - 2*o + 0*o**2 + 3/20*o**5 + 1/2*o**4 + 1/2*o**3. Solve a(d) = 0.
-1, 0
Suppose -7 = -16*i + 41. Factor 15/2*v - 21/2*v**2 + i.
-3*(v - 1)*(7*v + 2)/2
Let d = -7 + 17. Let x be 24/d - (8 + -6). Factor 1/5*k**3 - 1/5*k + 2/5*k**2 - x.
(k - 1)*(k + 1)*(k + 2)/5
Let b be 3/54 + 1/9. Let f(t) be the second derivative of -1/2*t**2 - 1/40*t**5 - 5/12*t**3 + 2*t + 0 - b*t**4. Factor f(h).
-(h + 1)**2*(h + 2)/2
Suppose 7*i + 133 + 14 = 0. Let g = 26 + i. Suppose 0*p**3 - 2/3*p**4 + 2/3*p**2 + 0 + 1/3*p**g - 1/3*p = 0. What is p?
-1, 0, 1
Factor 6/7*c + 2/7*c**3 - 2/7 - 6/7*c**2.
2*(c - 1)**3/7
Let s = 285 + -3131/11. Determine y, given that 14/11*y + s - 8/11*y**2 = 0.
-1/4, 2
Let d be 1*((-3)/(-3) + 1). Factor 72*a - 72*a + a**d.
a**2
Let 7/9*h + 1/3 + 1/9*h**3 + 5/9*h**2 = 0. What is h?
-3, -1
Factor 0 + 1/4*q - q**2.
-q*(4*q - 1)/4
Let x be 4/(4 - 2 - 1). Solve 0*j**3 + 0*j - 1/2*j**2 + 1/2*j**x + 0 = 0 for j.
-1, 0, 1
Let n(h) be the third derivative of -1/70*h**5 + 0*h**6 - 1/784*h**8 + 1/245*h**7 + 0 + 1/56*h**4 + 0*h - 9*h**2 + 0*h**3. Factor n(r).
-3*r*(r - 1)**3*(r + 1)/7
Let m(o) be the third derivative of o**10/75600 + o**9/15120 - o**8/10080 - o**7/1260 - o**5/6 - 2*o**2. Let q(f) be the third derivative of m(f). Factor q(t).
2*t*(t - 1)*(t + 1)*(t + 2)
Let j(l) be the second derivative of 2*l**7/21 + 2*l**6/15 - l**5/5 - l**4/3 + 14*l. Factor j(k).
4*k**2*(k - 1)*(k + 1)**2
Let k(d) be the second derivative of 3*d**6/50 - 6*d**5/25 + 13*d**4/60 - d**3/15 + 9*d. Solve k(t) = 0 for t.
0, 1/3, 2
Let x(p) = p**2 + p. Let u be x(-2). Let a = 128/497 + 2/71. Solve -2/7*t**3 + a*t + 0*t**u + 0 = 0.
-1, 0, 1
Let i(v) be the third derivative of -1/96*v**4 + 0*v + 0*v**3 + 1/120*v**5 + 5*v**2 - 1/480*v**6 + 0. What is s in i(s) = 0?
0, 1
Let 3*u**2 + 3/4*u**5 + 3/4*u - 3/2*u**4 - 3/2*u**3 - 3/2 = 0. Calculate u.
-1, 1, 2
Let p(r) be the second derivative of -r**4/6 - r**3 - 2*r**2 - 6*r. Suppose p(x) = 0. Calculate x.
-2, -1
Let z(w) be the second derivative of -w**7/14 + w**6/10 + 3*w**5/20 - w**4/4 + 6*w. Let z(o) = 0. Calculate o.
-1, 0, 1
Let o(b) = -4*b**3 + b - 3. Let k(j) = -9*j**3 + j**2 + 3*j - 7. Let h(q) = 6*k(q) - 14*o(q). Let h(z) = 0. Calculate z.
-2, -1, 0
Let a(d) = 2*d**2 - d - 1. Let m(z) = 4*z**2 - z - 3. Let g(v) = -v**2 + 2. Let o be g(0). Suppose -f + 15 = o*f. Let p(b) = f*a(b) - 3*m(b). Factor p(q).
-2*(q - 1)*(q + 2)
Let v(q) = 14*q**3 + 14*q**2 + 2*q - 14. Let i(u) = -5*u**3 - 5*u**2 - u + 5. Let n(g) = 8*i(g) + 3*v(g). Factor n(y).
2*(y - 1)*(y + 1)**2
Factor 5 + 7 - 20*f**2 + 28*f + 28*f.
-4*(f - 3)*(5*f + 1)
Let f(h) be the third derivative of h**5/180 - h**4/36 - h**3/6 - 7*h**2. Factor f(i).
(i - 3)*(i + 1)/3
Let m(f) be the first derivative of -2/21*f**3 + 4/7*f + 1 + 1/7*f**2. Factor m(u).
-2*(u - 2)*(u + 1)/7
Let w(o) be the second derivative of -o**6/30 + o**5/16 + o**4/16 - 5*o**3/24 + o**2/8 - 18*o. What is d in w(d) = 0?
-1, 1/4, 1
Let j = 2 - 5. Let q = j - -5. Factor 0*h**3 + q*h**2 - 2*h**4 + 0*h**3 + 0*h**2.
-2*h**2*(h - 1)*(h + 1)
Suppose 2*d + d - 21 = 0. Let t(b) be the second derivative of 1/30*b**3 + 1/30*b**4 - 1/75*b**6 + 0 + 0*b**5 - 1/210*b**d + b + 0*b**2. Solve t(w) = 0.
-1, 0, 1
Let w(y) be the first derivative of 0*y + 0*y**2 - 1/5*y**4 - 8/15*y**3 - 4. Factor w(o).
-4*o**2*(o + 2)/5
Let z(v) be the first derivative of 4*v**3/3 + 8*v**2/3 - 28*v/3 - 37. Factor z(o).
4*(o - 1)*(3*o + 7)/3
Solve 16/5*s + 14/5*s**4 + 8*s**2 + 2/5*s**5 + 36/5*s**3 + 0 = 0.
-2, -1, 0
Let x be (-94)/6 - (-8)/(-24). Let k = 32 + x. Let s(d) = -18*d**2 - 14*d + 4. Let p(o) = 6*o**2 + 5*o - 1. Let m(q) = k*p(q) + 5*s(q). Factor m(b).
2*(b + 1)*(3*b + 2)
Suppose -7 + 1 = -3*m. Determine x, given that -2/15*x**m - 4/5*x - 6/5 = 0.
-3
Let d = -3 - -5. Factor 3/2*x**d - x - 1/2.
(x - 1)*(3*x + 1)/2
Suppose 0*m**2 - 1/4*m + 0 + 1/4*m**3 = 0. What is m?
-1, 0, 1
Let k(u) be the third derivative of -u**8/70560 + u**6/2520 + 7*u**5/60 + 9*u**2. Let m(b) be the third derivative of k(b). Suppose m(q) = 0. What is q?
-1, 1
Let l(t) be the third derivative of t**6/40 + 41*t**2. Factor l(j).
3*j**3
Let i = 9 - 8. Let l be (-3 - i) + 76/18. Suppose -2/9 - l*k**2 + 4/9*k = 0. Calculate k.
1
Let g be (2/2)/((-3)/(-6)). Suppose 0 = 3*s - 6*s. Factor -1/3 + s*p + 1/3*p**g.
(p - 1)*(p + 1)/3
Let v be (-7 + 11)*(-2)/(-12). Let l(r) be the first derivative of -2*r + 1 + 2*r**2 - v*r**3. Factor l(k).
-2*(k - 1)**2
Let t(p) be the third derivative of 8*p**7/105 + 2*p**6/5 + 3*p**5/5 - 9*p**2. Find n such that t(n) = 0.
-3/2, 0
Let z(i) be the third derivative of -i**6/120 - i**5/30 + i**4/24 + i**3/3 + i**2. Factor z(g).
-(g - 1)*(g + 1)*(g + 2)
Let a = -6 - -13. Suppose p**5 + 9*p**3 - a*p**5 - 3*p**4 + 4*p**2 - 3*p - p**2 = 0. What is p?
-1, 0, 1/2, 1
Let h = -1/2 - -1. Let i(u) be the first derivative of 0*u**2 - 1 + 2/5*u**5 + 0*u - 1/3*u**6 + h*u**4 - 2/3*u**3. Determine y so that i(y) = 0.
-1, 0, 1
Let q(i) = -2 + 12 - i + 9 + 2*i. Let p be q(-16). Factor 0*z + 0 + 2/3*z**4 + 0*z**2 - 4/3*z**p.
2*z**3*(z - 2)/3
Let m(o) be the second derivative of -o**7/126 + 2*o**6/45 - o**5/20 + 36*o. Determine d, given that m(d) = 0.
0, 1, 3
Let a be (-2)/(-9) + -2 + (-16)/(-9). Factor 2/3 + a*u - 2/3*u**2.
-2*(u - 1)*(u + 1)/3
Let c(d) = -d**2 - d - 1. Let i(z) = -16*z**2 - 18*z - 14. Let l(k) = 28*c(k) - 2*i(k). Factor l(g).
4*g*(g + 2)
Let k(r) be the second derivative of 1/21*r**3 + 3/28*r**4 + 0 + 0*r**2 + 5*r. Factor k(u).
u*(9*u + 2)/7
Factor 1/3*c + 0 - 1/3*c**2.
-c*(c - 1)/3
Let c(w) = -6*w**5 + 4*w**4 - 5*w. Let g = -13 - -18. Let x(j) = -7*j**5 + 5*j**4 - 6*j. Let b(q) = g*x(q) - 6*c(q). Determine s so that b(s) = 0.
-1, 0
Let r be -3 - (-64 + -2 - -3). Let m = 182/3 - r. Factor -5/3*o - 4/3*o**2 - m - 1/3*o**3.
-(o + 1)**2*(o + 2)/3
Suppose -5*s + 9 = x, -4*s + 16 = 5*x - 8. Suppose -b + x*b = 0. Factor -o**5 + b*o**4 - 3*o**4 + 3*o + 6*o**2 + 6*o**3 - 6*o - 3 - 2*o**5.
-3*(o - 1)**2*(o + 1)**3
Let m(t) = -5*t + 64. Let c be m(12). Suppose 0*h**3 + 2/11*h + 4/11*h**c - 2/11*h**5 - 4/11*h**2 + 0 = 0. Calculate h.
-1, 0, 1
Let 75*f**2 - 15*f + 3/4 = 0. Calculate f.
1/10
Suppose -6*l + l = 0. Let b(p) be the first derivative of l*p + 0*p**4 - 1/5*p**5 + p**3 - 2 + p**2. Let b(x) = 0. Calculate x.
-1, 0, 2
Factor -14/19*i**3 - 64/19 + 108/19*i**2 - 192/19*i.
-2*(i - 4)**2*(7*i + 2)/19
Let f be 8/12*(38/16 + -2). Let k(u) be the first derivative of 1/5*u**5 + 0*u**2 - f*u**4 - 1/3*u**3 + 1/6*u**6 + 4 + 0*u. Solve k(n) = 0 for n.
-1, 0, 1
Let u be -1 + (3 - 1) - 0. Let s be u/(-3) - 42/(-18). Factor 2*w**5 + 2*w**3 - 2*w**5 + 2*w**2 - s*w**5 - 2*w**4.
-2*w**2*(w - 1)*(w + 1)**2
Let f be 0/(-2 + (-6)/(-2)). Let s(v) be the first derivative of -2 - 4/3*v**3 - 1/2*v**4 + f*v - v**2. Factor s(m).
-2*m*(m + 1)**2
Let u be (-27)/6*(-2)/(-6). Let v = u - -11/6. Factor m**4 + 0*m + 0 + 1/3*m**2 + m**3 + v*m**5.
m**2*(m + 1)**3/3
Suppose 4*b = -5*v + 27, 0*v - 5*b + 30 = 5*v. Let c be 3/3*1/v. Factor 2/3*o**2 - 1/3*o + 0 - c*o**3.
-o*(o - 1)**2/3
Suppose -159 + 33 = -6*x. Let c be 14/x - (-4)/3. Let 0 + 2/5*r**c - 2/5*r = 0. Calculate r.
0, 1
Let q(k) = k - 3. Let n be q(6). Find v, given that 3*v - 2*v - 4*v**2 + 6*v**2 - n*v**3 = 0.
-1/3, 0, 1
Factor 3*u**4 - 3*u**3 + 12*u + u**5 + 3*u**4 + 6 - 12*u**2 + u**3 - 11*u.
(u - 1)**2*(u + 1)**2*(u + 6)
Let k(h) be the first derivative of h**6/120 - h**5/60 - 3*h**2 - 4. Let t(p) be the second derivative of k(p). Factor t(m).
m**2*(m - 1)
Suppose 7*d - 4*d = 462. Let g be (-4 + 0)/((-98)/d). Factor 4/7 + 6/7*i - 16/7*i**2 - g*i**3 - 10/7*i**5 - 36/7*i**4.
-2*(i + 1)**4*(5*i - 2)/7
Let g be (-9)/(-3)*(-4)/(-6). Let j = 6 - 3. Solve -2*t**4 - 3*t**j + t**2 - 1 + 3*t + g + 0*t = 0 for t.
-1, -1/2, 1
Let i(c) = -c**2 - 10*c - 19. Let a be i(-5). Let o be (-3)/a*3/(-6). Determine u, given that o*u**4 - 1/2 + 1/4*u**3 - 5/4*u - 3/4*u**2 = 0.
-1, 2
Let -4/7*t**2 - 16/7*t - 16/7 = 0. Calculate t.
-2
Let z(i) = -13*i**2 + 24*i - 16. Let x(c) = -6*c**2 + 12*c - 8. Suppose 3*a = 5*w