/5 = 0.
-2, -1, 1
Factor 5*c**2 - 32*c**2 - 81*c - 3*c**3 - 14 - 35 - 32.
-3*(c + 3)**3
Let f(y) be the second derivative of -y**6/120 - y**5/40 + y**4/48 + y**3/12 + 9*y. Find m such that f(m) = 0.
-2, -1, 0, 1
Factor -4*y**4 + 10*y**2 + 5*y**3 + 5*y**4 - 6*y**4 + 0*y**3.
-5*y**2*(y - 2)*(y + 1)
Let o(u) = 3*u**2 + 2*u - 5. Let j(m) = 1 + 2 + 0*m**2 - 2 - m**2. Let q(r) = 4*j(r) + o(r). Factor q(a).
-(a - 1)**2
Let w(n) be the second derivative of 0*n**2 - 1/60*n**6 + 0*n**3 + 1/10*n**5 - 1/6*n**4 + 2*n + 0. Factor w(k).
-k**2*(k - 2)**2/2
Let q(r) be the first derivative of r**3 - 3*r**2 - 54. Suppose q(k) = 0. Calculate k.
0, 2
Let s(o) be the first derivative of -o**5/150 + o**4/60 - 2*o**2 - 5. Let w(q) be the second derivative of s(q). Factor w(v).
-2*v*(v - 1)/5
Let u(s) be the second derivative of s**3/6 - s. Let j(r) = 2*r**4 + 2*r**3 - 2*r**2 - 6*r. Let l(y) = -j(y) - 4*u(y). Factor l(w).
-2*w*(w - 1)*(w + 1)**2
Let u = 51 + -49. Let p(h) be the first derivative of u - 2/21*h**3 + 0*h + 1/7*h**2. Factor p(c).
-2*c*(c - 1)/7
Let l(c) be the second derivative of c**7/70 - 4*c**6/75 + c**5/25 + c**4/10 - 7*c**3/30 + c**2/5 - 14*c. Factor l(o).
(o - 1)**3*(o + 1)*(3*o - 2)/5
Let l = 5/39 - -7/13. Factor -1/3*x**3 - 1/3*x - l*x**2 + 0.
-x*(x + 1)**2/3
Factor 2/3 - 3*d - 11/3*d**2.
-(d + 1)*(11*d - 2)/3
Let j(r) be the third derivative of 1/20*r**6 + 1/2*r**4 + 2/3*r**3 + 1/210*r**7 + 13/60*r**5 - 2*r**2 + 0*r + 0. Find p, given that j(p) = 0.
-2, -1
Let b = 2 + -3. Let u be (b + 2/6)*-3. Factor 4*y**2 - 4*y**2 - u*y - 5*y**2 + 3*y**2.
-2*y*(y + 1)
Let g(y) be the third derivative of -y**7/70 - 3*y**6/20 - 3*y**5/5 - y**4 - 3*y**2. Factor g(q).
-3*q*(q + 2)**3
Suppose -2*x + 9 + 2 = 5*u, 5 = 5*u + 5*x. Factor 0*l**u - 6/5*l**2 + 2/5*l + 8/5*l**4 + 0.
2*l*(l + 1)*(2*l - 1)**2/5
Let w = 1 + 0. Let s be w + 1/(15/(-9)). Factor -2/5*a**2 + s + 0*a.
-2*(a - 1)*(a + 1)/5
Let k(f) be the third derivative of 0 + 0*f**3 - 3*f**2 + 0*f**4 + 0*f + 1/1344*f**8 + 0*f**5 - 1/480*f**6 + 0*f**7. Factor k(t).
t**3*(t - 1)*(t + 1)/4
Let n(r) = -5*r**2 - 5*r. Suppose -6*z + z + 15 = 0, 0 = 4*t - 4*z. Let c(i) = -4*i**2 - 4*i. Let q(p) = t*c(p) - 2*n(p). Factor q(s).
-2*s*(s + 1)
Suppose 0*b + 4 = b, -14 = -2*z - b. Find g, given that 3*g**2 - z*g**2 - 2*g**4 - 6*g**3 + 0*g**3 - 2*g**2 = 0.
-2, -1, 0
Let f(v) = v + 14. Let j be f(-14). Factor -2/7*w**3 + 2/7*w**2 + j*w + 0.
-2*w**2*(w - 1)/7
Factor -4*l**2 + 2*l**2 - l**2 - 2 + 2*l**2 - 3*l.
-(l + 1)*(l + 2)
Let r = 141 + -563/4. Determine u, given that -5/2*u**2 - 1/4 + 5/4*u + r*u**5 - 5/4*u**4 + 5/2*u**3 = 0.
1
Find x such that 0*x + 24*x**3 + 2*x**4 - 6*x + 13*x**4 + 3*x**2 = 0.
-1, 0, 2/5
Suppose -4*v - 17 = -77. Suppose 5*b = -0*b + v. Determine z, given that -4*z**b - 7*z + 4*z**2 + 9*z + 6*z**3 = 0.
-1, 0
Determine f, given that 7*f**2 - 3*f**2 + 6 + 25*f - 14*f - f**3 = 0.
-1, 6
Solve 10/11*o**5 + 0 - 24/11*o**2 - 8/11*o + 24/11*o**4 - 2/11*o**3 = 0 for o.
-2, -1, -2/5, 0, 1
Let o = -47 - -50. Factor -7/3*k**5 + 0*k - 5/3*k**4 + 0 + 0*k**2 + 2/3*k**o.
-k**3*(k + 1)*(7*k - 2)/3
Suppose -4*g + 24 = 4*g. Factor -2*y**2 + 0 - 2*y - 1/2*y**g.
-y*(y + 2)**2/2
Let i(m) be the second derivative of 1/36*m**4 + 1/45*m**6 + 0*m**2 - 1/9*m**3 + 1/12*m**5 + 0 - m. Factor i(w).
w*(w + 1)*(w + 2)*(2*w - 1)/3
Factor -4/7*s**2 - 2/7*s**5 - 2/7 + 6/7*s**4 - 4/7*s**3 + 6/7*s.
-2*(s - 1)**4*(s + 1)/7
Let n(v) = -22*v**3 + 2*v**2 - 10*v - 18. Let c(k) = -7*k**3 + k**2 - 3*k - 6. Let t(j) = 16*c(j) - 5*n(j). Suppose t(i) = 0. What is i?
-1, 1, 3
Solve 2/11*r**4 - 6/11*r**2 + 2/11*r**3 - 2/11*r + 4/11 = 0.
-2, -1, 1
Let l = -9 - -9. Factor 9/2*p**2 + 5/2*p**4 + l - p - 6*p**3.
p*(p - 1)**2*(5*p - 2)/2
Factor -4/21 - 2/21*y**4 + 2/3*y + 10/21*y**3 - 6/7*y**2.
-2*(y - 2)*(y - 1)**3/21
Let o(v) = v**2 - 6*v + 7. Let a be o(6). Factor -x**2 - 2*x - 2*x**2 + a*x**2 - 2*x**3.
-2*x*(x - 1)**2
Let t be -1 - (1 - (-3 - -7)). Let 3 - u**4 + u**3 - u + u**t + 0*u**3 - 3 = 0. Calculate u.
-1, 0, 1
Let p(b) = 14*b - 152. Let s be p(11). Solve 1/5*i**5 + 1/5 - 2/5*i**s - 2/5*i**3 + 1/5*i**4 + 1/5*i = 0.
-1, 1
Let i(u) be the second derivative of -u**4/72 + u**3 - 27*u**2 - 21*u + 2. Determine y, given that i(y) = 0.
18
Let k(i) be the second derivative of -i**6/120 - i**5/60 + i**2 + 3*i. Let c(j) be the first derivative of k(j). Suppose c(g) = 0. Calculate g.
-1, 0
Let s(p) be the second derivative of -3*p**5/40 - p**4/4 + p**3/4 + 3*p**2/2 - 3*p. Factor s(a).
-3*(a - 1)*(a + 1)*(a + 2)/2
Let n(g) be the first derivative of -2*g**8/21 + 4*g**7/15 - g**6/4 + 13*g**5/120 - g**4/48 - g**2 - 1. Let z(y) be the second derivative of n(y). Factor z(m).
-m*(m - 1)*(4*m - 1)**3/2
Let g(i) = 3*i**2 - 2*i - 5. Let j(b) be the first derivative of -b**3/3 + b**2/2 + b - 1. Let p(t) = g(t) + 4*j(t). Factor p(o).
-(o - 1)**2
Let q(d) be the third derivative of d**5/60 - d**3 + 8*d**2. Let w be q(-3). Determine v so that 5/6*v**w + 1/3*v**2 - 5/6*v - 1/3 = 0.
-1, -2/5, 1
Let t(g) be the third derivative of g**6/960 + g**5/480 - g**4/192 - g**3/48 + 16*g**2. Suppose t(d) = 0. What is d?
-1, 1
Let k(t) be the third derivative of t**8/5880 - t**7/2940 + t**3/3 + 4*t**2. Let i(z) be the first derivative of k(z). Let i(p) = 0. Calculate p.
0, 1
Suppose -2 = 5*i - 27. Suppose -3*c**3 + c + 4*c**3 + c**i - 4*c**3 + c**3 = 0. What is c?
-1, 0, 1
Let d(w) be the second derivative of -w**6/120 + 3*w**5/40 - w**4/4 - w**3 + 7*w. Let p(v) be the second derivative of d(v). What is o in p(o) = 0?
1, 2
Determine g, given that 587 - 587 - g**2 + g**3 - 2*g = 0.
-1, 0, 2
Let q(a) be the second derivative of -a**6/60 - 3*a**5/20 - 13*a**4/24 - a**3 - a**2 - 5*a. Find j such that q(j) = 0.
-2, -1
Let f(r) be the first derivative of -2*r**5/75 + r**4/15 + 2*r**3/15 - 4*r**2/15 - 8*r/15 + 10. Factor f(k).
-2*(k - 2)**2*(k + 1)**2/15
Let z(p) be the second derivative of 1/36*p**4 + 0*p**3 + 1/60*p**5 + 0 - p + 0*p**2. Factor z(f).
f**2*(f + 1)/3
Solve 1/2*w**3 + 0 - 2*w + 0*w**2 = 0 for w.
-2, 0, 2
Let x(o) be the second derivative of 0 - 13/60*o**5 - 3*o - 2/3*o**3 - 1/40*o**6 - 2/3*o**4 + 1/2*o**2. Let c(j) be the first derivative of x(j). Factor c(h).
-(h + 2)**2*(3*h + 1)
Let q(p) be the second derivative of -p**4/16 - p**3 - 6*p**2 - 5*p. Factor q(w).
-3*(w + 4)**2/4
Factor -24/7*j - 3/7*j**2 - 48/7.
-3*(j + 4)**2/7
Let y(h) = -h**2 + 7*h - 4. Let f be 2*(5 + 0 - 2). Let m be y(f). Solve 2/5*a**m + 0*a + 0*a**3 - 2/5*a**4 + 0 = 0.
-1, 0, 1
Suppose -o + 7 = 3*y, 5*y + 4*o - 18 = -4. Factor 0*t + 1/5*t**y + 0.
t**2/5
Suppose 18*h + 12*h**2 + h**4 + 0*h**2 - 14*h + 12*h**3 + 3*h**4 = 0. What is h?
-1, 0
Find n, given that -5/4*n**2 + 0 + 1/2*n = 0.
0, 2/5
Let k be 1/12*((-2520)/(-27))/7. Solve 0 - 4/9*t**5 + 0*t - 8/9*t**3 - k*t**4 - 2/9*t**2 = 0.
-1, -1/2, 0
Let j(y) be the second derivative of -3*y**5/40 + 5*y**4/8 - 2*y**3 + 3*y**2 + 7*y. Factor j(o).
-3*(o - 2)**2*(o - 1)/2
Let h(j) be the second derivative of 3*j + 0*j**2 + 0*j**5 + 0*j**3 + 0*j**4 - 1/120*j**6 + 0. Solve h(t) = 0.
0
Let k be ((-1)/(-2))/(6*(-9)/(-540)). What is s in -138/5*s**3 - 10*s**k - 28*s**4 + 0 - 56/5*s**2 - 8/5*s = 0?
-1, -2/5, 0
Let j = 91 - 87. Determine i so that 2/3*i**j + 0*i**3 + 0*i + 0*i**2 + 0 = 0.
0
Determine z so that 0 - 1/2*z**3 + 0*z**2 + 0*z = 0.
0
Suppose -4*p - 24 = -3*a + p, -3 = a + 2*p. Determine t, given that 2*t**a + 1/3*t**2 + 4/3*t**5 + 0*t + 3*t**4 + 0 = 0.
-1, -1/4, 0
Let r be 1/((-2 - -3) + 0). Factor 11*b - 12*b + b**2 + r - 2*b**2 + b**3.
(b - 1)**2*(b + 1)
Let r be (-4)/9 + (-8)/12*-2. Let -r - 2/9*g**2 + 10/9*g**3 + 2/9*g**4 - 2/9*g**5 - 16/9*g = 0. What is g?
-1, 2
Let z(x) be the first derivative of -x**4/20 - x**3/15 + x**2/10 + x/5 + 9. Find n, given that z(n) = 0.
-1, 1
Factor -5*g**5 - 20*g**3 + 153*g**4 - 40*g**3 - 123*g**4 + 50*g**2 - 15*g.
-5*g*(g - 3)*(g - 1)**3
Suppose j + 2*r = -j + 2, 4*r = -8. Factor 5*u**3 - 2*u**4 - 6*u + 2*u**2 + u - u**j + u.
-2*u*(u - 2)*(u - 1)*(u + 1)
Factor 0*n - 2/7*n**2 - 2/7*n**4 + 4/7*n**3 + 0.
-2*n**2*(n - 1)**2/7
Let f(l) = -31*l + 1. Let v be f(2). Let r = v - -187/3. Factor -2/3*n**4 + 4/3*n + 2/3 + 0*n**2 - r*n**3.
-2*(n - 1)*(n + 1)**3/3
Let h be (30/9 + -2)*12. Let a be (-30)/(-12)*h/50. What is l in -a*l*