/5, 1, 2
Let c(n) be the first derivative of -2/9*n**3 + 6 + 1/6*n**2 + 0*n + 1/12*n**4. Factor c(w).
w*(w - 1)**2/3
Let q(v) be the first derivative of -2*v**6/3 - 12*v**5/5 + 4*v**4 - 25. Factor q(k).
-4*k**3*(k - 1)*(k + 4)
Let p(n) be the second derivative of -6*n + 0*n**2 + 3/100*n**5 - 1/5*n**3 + 1/20*n**4 + 0. Let p(c) = 0. What is c?
-2, 0, 1
Solve 218*v**4 - 1028/9*v**3 + 24*v**2 + 0 - 126*v**5 - 16/9*v = 0.
0, 2/9, 2/7, 1
Let p(r) be the second derivative of -r**9/37800 - r**8/5600 - r**7/3150 - r**4/4 + 2*r. Let y(f) be the third derivative of p(f). Factor y(t).
-2*t**2*(t + 1)*(t + 2)/5
Let a be 3 - (1 - (-2 + 2)). Let -4 + 4*w**a - w**2 - 6 + 7 = 0. What is w?
-1, 1
Let w(l) be the third derivative of 0*l + 1/150*l**5 + 0 + 3*l**2 - 1/15*l**4 + 4/15*l**3. Factor w(i).
2*(i - 2)**2/5
Let d(r) be the second derivative of 0 - 2*r**4 + 2/3*r**3 + 4*r + 4*r**2. Suppose d(n) = 0. Calculate n.
-1/2, 2/3
Let x(p) be the first derivative of -p**7/28 + p**6/20 + 3*p**5/40 - p**4/8 - 9*p - 11. Let h(b) be the first derivative of x(b). Factor h(r).
-3*r**2*(r - 1)**2*(r + 1)/2
Let f = -8095/2208 + 86/23. Let h(j) be the third derivative of 3/80*j**5 - 3*j**2 + 0 - f*j**4 + 0*j - 1/12*j**3. Factor h(v).
(v - 1)*(9*v + 2)/4
Factor -2/5*x**2 + 4/5 + 2/5*x.
-2*(x - 2)*(x + 1)/5
Let f(w) = 8*w**2 + 3*w + 9. Let k(x) = x**2 + 1. Let v = 7 + -4. Let m(b) = v*f(b) - 21*k(b). Factor m(d).
3*(d + 1)*(d + 2)
Factor 38*k**3 + 2*k + 4*k**2 + 10*k**3 - 6*k.
4*k*(3*k + 1)*(4*k - 1)
Let a be (2 - 3)*15284/(-36). Let g = 425 - a. Factor g*w**2 - 2/9*w**3 + 0 - 2/9*w.
-2*w*(w - 1)**2/9
Let u(v) be the first derivative of -9*v**5/20 - 3*v**4/2 - 7*v**3/4 - 3*v**2/4 + 5. Solve u(i) = 0 for i.
-1, -2/3, 0
Factor -2*o**3 + 553*o - 4*o**3 - 556*o - 9*o**2.
-3*o*(o + 1)*(2*o + 1)
Let q be (78/6312)/((-10)/(-968)). Let n = 1/263 + q. Factor -2/5*i + 0 - n*i**3 - 2*i**2 + 18/5*i**4.
2*i*(i - 1)*(3*i + 1)**2/5
Let z(r) be the second derivative of 1/24*r**4 - 2*r - r**2 + 0*r**3 - 1/30*r**5 + 1/120*r**6 + 0. Let d(q) be the first derivative of z(q). Factor d(h).
h*(h - 1)**2
Let o = -36 + 18. Let y = o - -20. Solve -2/7 - 4/7*c - 2/7*c**y = 0.
-1
Let -20*g**2 - 2/3 + 25/3*g**3 + 7*g = 0. Calculate g.
1/5, 2
Let t(s) be the third derivative of -s**6/30 + 8*s**5/15 - 13*s**4/6 + 4*s**3 - 12*s**2 + 3*s. Factor t(q).
-4*(q - 6)*(q - 1)**2
Suppose 0 = -3*u - u - 3*u. What is b in 0 + 1/4*b - 1/4*b**3 + u*b**2 = 0?
-1, 0, 1
Suppose 4*m - 5 = 3*g + 3, 3*m - 6 = 0. Factor 0 + 1/4*q + g*q**2 - 1/4*q**3.
-q*(q - 1)*(q + 1)/4
Let x be (-1 + 0)/(14/(-4)). Factor -2/7 + x*c**2 - 2/7*c + 2/7*c**3.
2*(c - 1)*(c + 1)**2/7
Factor 2/9*w**5 + 2/9*w**3 + 0*w**2 + 0 + 4/9*w**4 + 0*w.
2*w**3*(w + 1)**2/9
Let g be (2 + (-2 - 0))/2. Let v(d) be the third derivative of g*d + 1/15*d**4 + 3*d**2 - 4/15*d**3 - 1/150*d**5 + 0. Determine u so that v(u) = 0.
2
Let f be (-4)/(-14)*(5 - -2). Suppose -4*w + f*i + 6 = 0, w + 8 + 1 = 4*i. Let 4*p**3 - w*p**2 - 3*p**4 + 5*p**4 + 5*p**2 = 0. Calculate p.
-1, 0
Factor 4*x**3 + 0*x**2 + 4*x**4 - 8*x - 4*x**2 - 2*x**3 + 6*x**3.
4*x*(x - 1)*(x + 1)*(x + 2)
Let g = -1650 - -49529/30. Let k = g + -3/10. Solve -k*b**4 + 4/3*b**3 - 4/3*b + 2/3*b**2 + 0 = 0 for b.
-1, 0, 1, 2
Let y(f) = -5*f**2 + 7*f - 4. Let d(s) = -66*s**2 + 90*s - 51. Let p(q) = -2*d(q) + 27*y(q). Let p(x) = 0. Calculate x.
1, 2
Suppose -4*i - 18 = 2*d - 0, 0 = 2*d - 3*i - 17. Let x be d/(-2)*40/(-45). Factor -2/9*b**4 - 2/9*b**2 - x*b**3 + 0*b + 0.
-2*b**2*(b + 1)**2/9
Let j be 3/18 + (-2)/12. Let u(m) be the second derivative of 0*m**3 + 2*m + 0*m**2 - 1/40*m**5 - 1/24*m**4 + j. Let u(p) = 0. Calculate p.
-1, 0
Let y(p) be the second derivative of -1/165*p**6 + 0 - 3*p + 0*p**3 + 0*p**4 - 1/55*p**5 + 0*p**2. Factor y(z).
-2*z**3*(z + 2)/11
Let j(l) be the first derivative of -1/5*l**5 - 2*l**3 + 4 - l**4 - l - 2*l**2. Factor j(o).
-(o + 1)**4
Suppose -6*q + 2*q + 12 = 0. Let l(a) be the first derivative of 4/3*a**q - 2*a + 0*a**4 + 0*a**2 - 2/5*a**5 - 1. Find n, given that l(n) = 0.
-1, 1
Let j(b) be the first derivative of 8*b**5/5 - 9*b**4/2 + 4*b**3/3 + 12. Solve j(q) = 0 for q.
0, 1/4, 2
Let 7*n + 0*n**2 - 4*n**2 + 2*n**3 - 6*n - 7*n = 0. What is n?
-1, 0, 3
Let u be (-13 + 1)*2/(-6). Let n(h) be the third derivative of -1/84*h**u - h**2 - 1/210*h**5 + 2/21*h**3 + 0 + 0*h. What is l in n(l) = 0?
-2, 1
Let o be 10/(-24) - 2/(-3). Suppose -87*x + 76*x + 22 = 0. Factor 0 + 0*y + 3/4*y**3 - 1/2*y**x - o*y**4.
-y**2*(y - 2)*(y - 1)/4
Let n(u) be the second derivative of u**6/15 - u**5/2 + 19*u. What is r in n(r) = 0?
0, 5
Let f be (-5 + 1)*(-18)/324. Factor f*c**2 + 0 + 2/3*c.
2*c*(c + 3)/9
Let n(l) be the third derivative of -l**6/1260 + l**5/105 - l**4/21 + 2*l**3/3 - 4*l**2. Let z(p) be the first derivative of n(p). Factor z(q).
-2*(q - 2)**2/7
Let z(j) be the second derivative of 0*j**3 + 0*j**2 - 3*j + 0 - 1/15*j**6 + 1/10*j**5 + 1/6*j**4 - 1/21*j**7. Solve z(s) = 0.
-1, 0, 1
Let r = 2 - -2. Suppose 2*a + 20 = r*a. Determine x, given that -2*x**2 - 10*x + a*x = 0.
0
Factor 0*d - 2/19*d**3 + 8/19 - 6/19*d**2.
-2*(d - 1)*(d + 2)**2/19
Let r(p) be the second derivative of p**8/13440 - p**7/1260 + p**6/480 - p**4/2 - p. Let m(t) be the third derivative of r(t). Solve m(y) = 0 for y.
0, 1, 3
Let q(z) be the first derivative of -z**6/120 + z**5/20 - z**4/8 - 4*z**3/3 - 4. Let o(k) be the third derivative of q(k). What is h in o(h) = 0?
1
Let b(h) be the first derivative of h**6/2880 - h**5/480 - h**4/64 - 4*h**3/3 + 1. Let c(v) be the third derivative of b(v). Factor c(m).
(m - 3)*(m + 1)/8
Let f = -5 - -9. Factor 0 + 0*w - 2/9*w**5 - 4/9*w**2 - 8/9*w**f - 10/9*w**3.
-2*w**2*(w + 1)**2*(w + 2)/9
Let g be 4 - (2/3 + 24/9). Factor 8/9 + g*d**2 + 16/9*d.
2*(d + 2)*(3*d + 2)/9
Let z be 13/4 + 1/(-4). Let -4*r**3 + 4*r - 4*r + r**z - 3*r**2 = 0. Calculate r.
-1, 0
Let o be -12 + 8 + (-21)/(-1). Let r = -17 + o. Suppose 2/7*g**3 + 2/7*g**2 - 2/7*g**5 - 2/7*g**4 + 0 + r*g = 0. Calculate g.
-1, 0, 1
Let d(t) be the third derivative of -t**9/181440 + t**8/60480 + t**5/30 - 2*t**2. Let k(q) be the third derivative of d(q). Suppose k(i) = 0. Calculate i.
0, 1
Suppose -8 = -5*i + 4*k, 0*i = 5*i - 2*k - 4. Let x(f) be the first derivative of -1/9*f**3 - 2/9*f**6 - 3 + 0*f**2 + 0*f + 1/4*f**4 + i*f**5. Factor x(q).
-q**2*(q + 1)*(2*q - 1)**2/3
Let m(z) be the third derivative of 3*z**6/200 + z**5/50 + z**4/120 + 8*z**2. Factor m(x).
x*(3*x + 1)**2/5
Let m(g) = 2*g**2 + 4*g - 4. Let j be m(1). Let r(t) be the first derivative of -8/9*t**j + 0*t + 4 + 8/9*t**3 + 2/45*t**5 - 1/3*t**4. Factor r(q).
2*q*(q - 2)**3/9
Let m be 438/30 - 4/(-10). Suppose m = 3*x, r - 8*x + 4*x + 18 = 0. Factor -1/4*t**r + 0*t + 0.
-t**2/4
Let w(a) be the first derivative of a**6/8 - 9*a**4/16 + a**3/2 - 2. Suppose w(l) = 0. Calculate l.
-2, 0, 1
Let f = 61 - 243/4. Determine c so that 1/4*c**2 - 1/4 - 1/4*c + f*c**3 = 0.
-1, 1
Suppose m = 5*j - 19, 7*m - 25 = 2*m + j. Suppose -2/5*r**3 + 0*r + 0 - 32/5*r**4 + 4/5*r**2 + m*r**5 = 0. What is r?
-1/3, 0, 2/5, 1
Factor 4/7*r - 2/7 - 2/7*r**2.
-2*(r - 1)**2/7
Let i(a) be the first derivative of 1/2*a**2 + 1 + a - 1/4*a**4 - 1/3*a**3. Suppose i(k) = 0. Calculate k.
-1, 1
Let y = -36/5 + 8. Let i = y + -2/15. Solve -4/3 + 2/3*d**2 + i*d = 0.
-2, 1
Let f(z) be the third derivative of -3*z**2 + 0*z**3 + 0*z + 0*z**6 + 0*z**4 - 1/105*z**7 + 0 + 1/504*z**8 + 2/45*z**5. Solve f(y) = 0.
-1, 0, 2
Let u(i) = -i + 1. Let t(w) = -2*w**3 - 6*w + 8. Let h be (46/4)/(4/8). Let j = h + -15. Let y(m) = j*u(m) - t(m). Factor y(s).
2*s*(s - 1)*(s + 1)
Factor -g**5 + 2*g**5 + 10*g**4 - 13*g**4.
g**4*(g - 3)
Let t(x) be the first derivative of 0*x**2 + 3 + 0*x + 3/20*x**5 - 1/24*x**6 + 1/12*x**3 - 3/16*x**4. Find y such that t(y) = 0.
0, 1
Let m be -8*5/(-40) - (-4)/(-6). Factor 1/3 + 0*s - m*s**2.
-(s - 1)*(s + 1)/3
Let z = 17/45 - 2/45. Suppose 2*j = 5*y - 14, -7*j - 6 = y - 3*j. Factor -1/3*l + 0 - z*l**y.
-l*(l + 1)/3
Let u(n) = 7*n**4 + 5*n**3 - 8*n**2 - 6. Let l(f) = 4*f**3 + 8*f**4 + 4*f**3 - 11 - 9*f**2 + 4 - 2*f**3. Let r(w) = 6*l(w) - 7*u(w). Factor r(z).
-z**2*(z - 2)*(z + 1)
Let n(l) be the third derivative of l**7/315 - l**5/30 + l**4/18 - 13*l**2. Factor n(i).
2*i*(i - 1)**2*(i + 2)/3
Factor 