*2 + k. Let t(p) = -4*c(p) + o(p). Factor t(q).
-(q + 6)**3
Let g be ((-5)/(-10))/((-1)/(-1))*1. Factor f + g + 1/2*f**2.
(f + 1)**2/2
Let z = 54 + -52. Let h(q) be the second derivative of 1/6*q**4 + 3*q + 0 - q**z + 0*q**3. Factor h(x).
2*(x - 1)*(x + 1)
Let v = -25 - -28. Let g(c) be the first derivative of -3/7*c**2 - 4/7*c + 1 - 2/21*c**v. Factor g(a).
-2*(a + 1)*(a + 2)/7
Let r(n) = -69*n**3 - 171*n**2 - 78*n - 6. Let c(a) = -206*a**3 - 512*a**2 - 235*a - 19. Let b(z) = 6*c(z) - 17*r(z). Factor b(k).
-3*(k + 2)*(3*k + 1)*(7*k + 2)
Let v(n) be the second derivative of 1/80*n**5 + 0*n**2 - 6*n + 1/12*n**4 + 0 + 1/8*n**3. Find s, given that v(s) = 0.
-3, -1, 0
Let o(p) be the third derivative of p**6/900 + p**5/100 + p**4/30 + 2*p**3/3 + 8*p**2. Let n(h) be the first derivative of o(h). Factor n(w).
2*(w + 1)*(w + 2)/5
Let v be (3/(-2))/(1/(-2)). Solve v*z**2 + z - z - 3*z**4 = 0.
-1, 0, 1
Determine a so that 1/8*a**2 + 1/4*a - 3/8 = 0.
-3, 1
Let j be 2/(-3) + 4/6. Let l(z) be the second derivative of 0*z**3 + j + 0*z**2 + 2*z - 1/48*z**4. Factor l(q).
-q**2/4
Let u(v) = -8*v**2 - 12*v - 10. Let o(k) = -k**2 - k - 1. Let g = 4 - -2. Let z(c) = g*o(c) - u(c). Factor z(b).
2*(b + 1)*(b + 2)
Suppose 24*m - 29*m = -15. Factor 2/3*u**2 - u + 1/3*u**5 - u**4 + 1/3 + 2/3*u**m.
(u - 1)**4*(u + 1)/3
Suppose 3*u = 11 + 7. Suppose 0 = -2*o + 2 + u. Factor -1/4*p + 1/4*p**2 - 1/4*p**o + 0 + 1/4*p**3.
-p*(p - 1)**2*(p + 1)/4
Let z = 19/7 - 50/21. Let y(t) be the first derivative of z*t**3 + 2*t**2 + 4*t - 3. Let y(m) = 0. What is m?
-2
Suppose 4 + 8 = 3*d - 4*i, 3*i = 0. Find f such that 0 - 2/5*f - 2/5*f**3 - 7/5*f**2 + 3/5*f**d = 0.
-1, -1/3, 0, 2
Factor 0 - y + 1/2*y**2 + y**3 - 1/2*y**4.
-y*(y - 2)*(y - 1)*(y + 1)/2
Let v(h) be the third derivative of -6*h**2 + 0*h + 0 - 1/300*h**5 - 1/60*h**4 - 1/30*h**3. Factor v(m).
-(m + 1)**2/5
Let x(y) be the first derivative of -1 - 1/4*y - 1/4*y**2 - 1/12*y**3. Factor x(p).
-(p + 1)**2/4
Let v(u) be the first derivative of -u**4/2 - 22*u**3 - 363*u**2 - 2662*u - 3. Factor v(c).
-2*(c + 11)**3
Let p(h) = h**2 + 3*h - 6. Let x be p(-5). Let x + 3*g - 5 + 1 - g**3 + 2 = 0. What is g?
-1, 2
Let j(y) be the second derivative of -1/9*y**3 + 2*y + 0*y**4 + 0*y**2 + 1/30*y**5 + 0. Factor j(c).
2*c*(c - 1)*(c + 1)/3
Let c(g) = 2*g**4 + 40*g**3 + 100*g**2 + 2*g + 2. Let j(h) = -3*h**4 - 80*h**3 - 200*h**2 - 5*h - 5. Let s(r) = -5*c(r) - 2*j(r). Factor s(t).
-4*t**2*(t + 5)**2
Let w(p) be the first derivative of -4*p**3/15 - 2*p**2/5 + 8*p/5 + 8. Determine l so that w(l) = 0.
-2, 1
Let y(p) = -2*p**3 - 2*p**2 + 2*p. Let d be y(-2). Let a(s) = -s**2 + 23*s - 73. Let w be a(4). Factor 0*f**d + 0 + 1/4*f**5 - 1/2*f**w + 0*f**2 + 1/4*f.
f*(f - 1)**2*(f + 1)**2/4
Let j = -47 + 47. Factor j - 1/4*u**2 - 1/2*u.
-u*(u + 2)/4
Let l be (-48)/(-720)*(4 - 1). Let s = 2 + 0. Factor 3/5*n + l*n**3 + 1/5 + 3/5*n**s.
(n + 1)**3/5
Let y(p) be the second derivative of p**4/4 + 4*p**3 + 24*p**2 - 3*p - 12. Factor y(d).
3*(d + 4)**2
Let l(h) be the second derivative of -h**8/1176 - h**7/735 + h**6/210 - h**2/2 - h. Let t(c) be the first derivative of l(c). Let t(o) = 0. Calculate o.
-2, 0, 1
Let x(f) = 4*f**2 + 5*f + 5. Let n be x(-5). Let s be 12/(-78) - n/(-182). Let -2/7*q**5 - s*q**4 + 2/7*q**2 + 0*q + 0 + 2/7*q**3 = 0. What is q?
-1, 0, 1
Let t(u) be the first derivative of -u**6/33 - 2*u**5/11 - 2*u**4/11 + 21. Let t(s) = 0. What is s?
-4, -1, 0
Let b = -8 + 14. Let v be (-9)/b*8/(-6). What is j in 2/7*j**3 + 4/7*j**v + 0 + 2/7*j = 0?
-1, 0
Let g(o) be the first derivative of -o**4/8 - o**3/2 - 3*o**2/4 + 4*o - 2. Let i(w) be the first derivative of g(w). Factor i(s).
-3*(s + 1)**2/2
Let j = 77 - 73. Let x(r) be the third derivative of -1/48*r**j + 0 - 1/240*r**6 - r**2 + 0*r**3 + 0*r - 1/60*r**5. Suppose x(p) = 0. Calculate p.
-1, 0
Factor 0*p + 0 + 3/2*p**4 - 3/2*p**2 + 0*p**3.
3*p**2*(p - 1)*(p + 1)/2
Let z(y) = -y**3 + y**2. Let g be z(1). Suppose -5*o + 20 = g, -2*o + 8 + 8 = 4*c. Factor -t**2 - c*t**2 - t + 2*t**2.
-t*(t + 1)
Let u = 4477 + -483535/108. Let l = 2/27 - u. Factor 3/4*q**4 + 3/4*q**3 + 1/4*q**5 + 0 + 0*q + l*q**2.
q**2*(q + 1)**3/4
Let t = -38 + 40. Factor t*s + 2 + 1/2*s**2.
(s + 2)**2/2
What is k in -8*k**2 - 4*k**3 - 3*k + 4 + 5*k**5 + 4*k**4 + 5*k - 3*k**5 = 0?
-2, -1, 1
Let y(k) be the first derivative of 0*k - 3 + 1/16*k**4 + 2/3*k**6 + 1/8*k**2 + 1/2*k**3 - 6/5*k**5. Factor y(j).
j*(j - 1)**2*(4*j + 1)**2/4
Let r(l) be the first derivative of -2 + 1/8*l**4 + 1/2*l + 1/12*l**3 - 5/8*l**2. Factor r(f).
(f - 1)*(f + 2)*(2*f - 1)/4
Let u(p) be the first derivative of p**8/2520 + p**7/1260 - p**6/180 - p**5/180 + p**4/18 - p**3 + 1. Let h(r) be the third derivative of u(r). Solve h(m) = 0.
-2, -1, 1
Let f(c) be the first derivative of -c**6/900 + c**5/150 - c**4/60 + 2*c**3/3 + 3. Let i(z) be the third derivative of f(z). Find y, given that i(y) = 0.
1
Let s = -28 + 35. Let h(j) be the second derivative of 1/30*j**5 + 0*j**3 + 0 + j - 1/63*j**s + 1/45*j**6 + 0*j**2 - 1/18*j**4. Determine z so that h(z) = 0.
-1, 0, 1
Suppose -2/3*w**3 + 2/9*w**4 + 0 - 2/9*w + 2/3*w**2 = 0. Calculate w.
0, 1
Let n be 28/84 - (23/(-12) + 2). Suppose -5*t + m + 5 = 0, 0 = -3*t - 2*t - 5*m - 25. Factor -n*s + t + 3/4*s**2 - 3/4*s**3 + 1/4*s**4.
s*(s - 1)**3/4
Let -4/3*p - 2 - 2/9*p**2 = 0. What is p?
-3
Let 5/3*b**3 - 4/3 + 4/3*b + 13/3*b**2 = 0. What is b?
-2, -1, 2/5
Suppose 0 = -3*k + 6*k - 3. Let j(v) be the second derivative of -v**3/6 + 21*v. Let m(z) = 3*z**2 + 3. Let t(d) = k*m(d) - 6*j(d). Factor t(y).
3*(y + 1)**2
Let 0 + 2/17*g**2 + 2/17*g**4 + 0*g + 4/17*g**3 = 0. What is g?
-1, 0
Suppose f - 2 = 3*m + 1, -3*f + 9 = 4*m. Factor f*b**3 + 6 + 3*b - 6*b**2 - 6*b**3 + 0.
-3*(b - 1)*(b + 1)*(b + 2)
Let t(d) = -8*d**3 - 8*d**2 - d + 17. Let r(o) = -o**3 - o**2 + 2. Let v(a) = 51*r(a) - 6*t(a). Find w, given that v(w) = 0.
-2, 0, 1
Let t be (-2 - 0)*(1 - 2). Let b be (-6)/(t + 1) + 7. Factor i**4 + 0*i**5 + 2*i**5 + 3*i**5 - 4*i**b.
i**4*(i + 1)
Let j(z) be the second derivative of -z**5/110 - z**4/22 - 2*z**3/33 - 4*z. Let j(g) = 0. Calculate g.
-2, -1, 0
Suppose -4*w - 26 = 2*t, 22 = -6*w + 3*w + t. Let s = -7 - w. Solve 2/5*p**4 - 2/5*p**2 + 0 + s*p**3 + 0*p = 0.
-1, 0, 1
Find a, given that 0 + 2/21*a**2 + 2/21*a = 0.
-1, 0
Let c(i) = 8*i**5 + 5*i**4 + 5*i**3 + 4*i**2 + i - 9. Let h(r) = r**5 + r**4 + r**3 - 1. Let p(m) = 3*c(m) - 21*h(m). Find z, given that p(z) = 0.
-1, 1, 2
Determine b so that -5/6*b**2 + 0 - 2/3*b**3 - 1/6*b**4 - 1/3*b = 0.
-2, -1, 0
Factor -120/7*x - 2/7*x**4 - 92/7*x**2 - 24/7*x**3 - 50/7.
-2*(x + 1)**2*(x + 5)**2/7
Suppose -10*c = 9*c - 4*c. Find y, given that 0*y**3 + 1/7*y**4 - 1/7*y**2 + 0*y + c = 0.
-1, 0, 1
Let t(x) be the third derivative of 0*x - 1/630*x**7 + 1/120*x**6 - 1/180*x**5 + 0 - 1/24*x**4 + 1/9*x**3 - 2*x**2. Factor t(l).
-(l - 2)*(l - 1)**2*(l + 1)/3
Suppose 3*l = -2*u + 5 + 16, -4*u + 15 = -3*l. Suppose -3*w**5 + 2*w - 3*w - 2*w + u*w**3 = 0. Calculate w.
-1, 0, 1
Let c(k) = k - 2. Let x be c(4). Find b such that 2*b**3 - 3*b + x*b + 2*b**2 - 3*b = 0.
-2, 0, 1
Let d(l) be the third derivative of l**6/120 - l**5/60 - l**4/12 + 7*l**2. Factor d(n).
n*(n - 2)*(n + 1)
Let a = 72 + -69. Let t(f) be the first derivative of -2/5*f**5 - 6*f**3 - 4*f + 5/2*f**4 + 7*f**2 - a. Factor t(o).
-2*(o - 2)*(o - 1)**3
Let z = 34 - 34. Let k(o) be the second derivative of -1/54*o**4 + z*o**2 + 0 + 2/27*o**3 + o. Factor k(d).
-2*d*(d - 2)/9
Suppose -2*r = -r + 2. Let i be (-4)/r - 5/3. Factor -2/3*b**4 + 0 + 0*b**3 - 1/3*b + 2/3*b**2 + i*b**5.
b*(b - 1)**3*(b + 1)/3
Let y be (-2)/13 + 215/130. What is i in -3/2*i**2 + y*i - 1/2 + 1/2*i**3 = 0?
1
Let w be (576/720)/(18/10 + 1). Let s be 2/6 - 2/42. Find z such that s*z + 2/7*z**2 - 2/7 - w*z**3 = 0.
-1, 1
Suppose 2*t - 5 + 1 = -a, t = 4*a - 16. Suppose 9*o = a*o. Suppose -4/5*k**2 + 2/5*k**3 + o + 2/5*k = 0. What is k?
0, 1
Let c(t) = -t**2 - 11*t + 9. Let u be c(-12). Let z(s) = 2*s + 6. Let l be z(u). Factor -7*p**3 + l - 2/3*p - 17/3*p**4 - 5/3*p**5 - 11/3*p**2.
-p*(p + 1)**3*(5*p + 2)/3
Factor -8/5 + 6/5*o - 1/5*o**2.
-(o - 4)*(o - 2)/5
Let u = 3986/7 + -568. Factor u*i**2 + 0 - 2/7*i - 2*i**3 + 6/7*i**4.
2*i*(i - 1)**2*(3*i - 1)/7
Let s(m) = -