*2 + 18*v.
3*(v + 1)*(v + 11)/2
Let z(w) be the second derivative of 27*w**5/20 + 3*w**4 - 11*w**3/2 + 3*w**2 - 9*w. Factor z(p).
3*(p + 2)*(3*p - 1)**2
Let x(n) = 19*n**5 - 13*n**4 - 12*n**3 + 19*n - 13. Let c(y) = -9*y**5 + 6*y**4 + 6*y**3 - 9*y + 6. Let m(h) = -13*c(h) - 6*x(h). Solve m(p) = 0 for p.
-1, 0, 1
Let n be (-9)/(-27) + 1*2/(-18). Factor 5/9*w**4 - w**3 - n*w + 7/9*w**2 + 0 - 1/9*w**5.
-w*(w - 2)*(w - 1)**3/9
Let v(q) = q**4 + q**2 + q - 1. Let c(o) = 4*o**4 + o**3 + 3*o**2 + 3*o - 3. Let l(w) = -c(w) + 3*v(w). Find j such that l(j) = 0.
-1, 0
Let x(q) be the third derivative of q**2 + 0 + 1/210*q**5 + 0*q**3 + 0*q + 1/42*q**4. Factor x(r).
2*r*(r + 2)/7
Suppose -3*l + 13*l = 20. Determine u so that 4/11 + 2/11*u**l + 6/11*u = 0.
-2, -1
Find t, given that -2 - 72*t**2 - 1 + 15*t**3 + 27*t + 2*t**3 + 31*t**3 = 0.
1/4, 1
Let k(g) be the first derivative of -5/36*g**4 + 0*g - 1/180*g**6 - 2/45*g**5 - 1/2*g**2 + 1 - 2/9*g**3. Let d(y) be the second derivative of k(y). Factor d(t).
-2*(t + 1)**2*(t + 2)/3
Let c(u) be the first derivative of 4 - u + 1/50*u**5 + 4/5*u**3 - 8/5*u**2 - 1/5*u**4. Let n(x) be the first derivative of c(x). Factor n(a).
2*(a - 2)**3/5
Suppose 0 = -3*c - 4*u - 0*u - 6, -2*c = -u + 15. Let v = -23/4 - c. Factor -v*b**2 + 1/4*b**3 + 0*b + 0.
b**2*(b - 1)/4
Let y be (3 - (-15)/(-6))*0. Let t be y*(2 - 3) - -3. Factor -1/4*p**2 + 1/4 - 1/4*p**t + 1/4*p.
-(p - 1)*(p + 1)**2/4
Let s(b) be the first derivative of -2*b**2 - 6*b**6 - 73/4*b**4 - 28/3*b**3 + 0*b - 84/5*b**5 + 6. Factor s(m).
-m*(2*m + 1)**2*(3*m + 2)**2
Let f(b) = -b**3 - 3*b**2 - 4*b - 2. Let p be f(-2). Suppose 10 = -2*h - 5*i, -i = p*h - 5*h + 2. Factor -1/4*r**2 + h*r + 0.
-r**2/4
Suppose -2 = 4*i - 3*i + 2*h, 0 = 5*i + 5*h. Find z such that -1/3*z**i + 0 - 1/3*z = 0.
-1, 0
Let t(l) be the first derivative of 3*l**5/35 - l**3/7 - 3. Factor t(h).
3*h**2*(h - 1)*(h + 1)/7
Let u = 1 - 5. Let s be (u/(-1) + -3)*0. Factor -4/7*i**5 + s - 2/7*i**2 + 0*i + 0*i**3 + 6/7*i**4.
-2*i**2*(i - 1)**2*(2*i + 1)/7
Determine a so that -1/5*a**3 - 3/5*a**2 - 2/5*a + 0 = 0.
-2, -1, 0
Let j(r) be the third derivative of -r**6/150 - r**5/75 + r**4/30 + 2*r**3/15 + 11*r**2. Solve j(c) = 0 for c.
-1, 1
Let d(y) be the first derivative of 1/60*y**5 + 1/12*y**4 + 0*y + y**2 - 2 + 1/6*y**3. Let c(n) be the second derivative of d(n). Factor c(r).
(r + 1)**2
Suppose 2*d - 100 = d. Let v be 6/10 - 60/d. Factor 1/4*x**4 + 0 + v*x**2 + 0*x + 1/4*x**3.
x**3*(x + 1)/4
Let b(i) = 2*i**3 - 4*i**2 + 4*i + 10. Let f(o) = o**3 + 1. Let w(u) = b(u) - 6*f(u). Factor w(l).
-4*(l - 1)*(l + 1)**2
Suppose 0*d**2 + 0*d + 0 + 0*d**4 - 2/3*d**3 + 1/6*d**5 = 0. Calculate d.
-2, 0, 2
Let j(a) = a**3. Let t(f) = -4*f**3 - 2*f**2 - 4*f + 8. Let r(w) = 5*j(w) + t(w). Factor r(i).
(i - 2)**2*(i + 2)
Suppose -5*o + 19 = -4*o - 3*r, -4*o = 5*r + 9. Find v such that 2*v**o - 5*v**3 - 2*v**5 + v**5 + 4*v**3 = 0.
0, 1
Let q(u) = u - 5. Let o be q(5). Let j = 1075 - 4297/4. What is f in j*f**2 + o*f - 3/4 = 0?
-1, 1
Let q(u) be the first derivative of 1 + 1/3*u - 2/9*u**3 + 1/6*u**2. Determine m so that q(m) = 0.
-1/2, 1
Let s(j) be the first derivative of -1/15*j**3 + 0*j**2 + 1 + 0*j. Factor s(l).
-l**2/5
Let a(o) = 4*o**3 + 20*o**2 - 88*o - 6. Let w(d) = d**3 + 7*d**2 - 29*d - 2. Let z(i) = -2*a(i) + 7*w(i). Let q(p) be the first derivative of z(p). Factor q(n).
-3*(n - 3)**2
Let g(d) be the first derivative of d**6/40 - 3*d**5/40 - d**4/16 + d**3/4 - 2*d - 1. Let v(m) be the first derivative of g(m). Let v(f) = 0. What is f?
-1, 0, 1, 2
Let t = 79 + -79. Let i(w) be the third derivative of 0 + 1/30*w**6 + t*w**3 + 0*w + 1/12*w**5 + 1/24*w**4 - 4*w**2. Factor i(g).
g*(g + 1)*(4*g + 1)
Let l(x) = 3*x**3 - 18*x**2 - 24*x - 1. Let v be 28/8*(-1 - -3). Let m(u) = 2*u**3 - 18*u**2 - 24*u - 2. Let s(f) = v*m(f) - 6*l(f). Factor s(t).
-2*(t + 2)**2*(2*t + 1)
Let v = 1 - 10. Let c(g) = -g**2 - 8*g + 11. Let w be c(v). Factor 3/4*l**4 + 0*l + 0 + 0*l**w - 3/4*l**3.
3*l**3*(l - 1)/4
Let w = -457/9 - -51. Factor 0 - 4/9*l**3 + 0*l**4 + 2/9*l + 0*l**2 + w*l**5.
2*l*(l - 1)**2*(l + 1)**2/9
Let x(h) = -h**3 + 21*h**2 - 3*h + 65. Let f be x(21). Factor 1/4*y**3 + 0 + 0*y - 1/4*y**f.
y**2*(y - 1)/4
Let c = -317/6 + 53. Let m(p) be the second derivative of -2*p - 1/8*p**2 - 1/8*p**4 + 0 - 1/120*p**6 - 1/20*p**5 - c*p**3. Factor m(k).
-(k + 1)**4/4
Let v(q) be the first derivative of q**3/9 + 2*q**2/3 + q + 18. Find c such that v(c) = 0.
-3, -1
Find c such that 2*c + 2*c - 11*c - 20 + 22*c + 5*c**2 = 0.
-4, 1
Suppose -10 = -3*q - 2*q. Let x be (2 + -5)/((-3)/q). Factor 1/4*p**x - 1/2*p + 1/4.
(p - 1)**2/4
Let y(s) = -10*s**5 - 175*s**4 + 10*s**3 + 175*s**2 - 65. Let p(w) = w**5 + 16*w**4 - w**3 - 16*w**2 + 6. Let r(a) = 65*p(a) + 6*y(a). Factor r(t).
5*t**2*(t - 2)*(t - 1)*(t + 1)
Let s = 24 + -16. Factor s*d + 5*d - 4 - 8*d - d**2.
-(d - 4)*(d - 1)
Let r be (-1 + 1)/(4/(-4)*-2). Let g(v) be the first derivative of -1/5*v**5 - 1/2*v**4 - 3 - 1/3*v**3 + r*v + 0*v**2. Find z, given that g(z) = 0.
-1, 0
Let s(w) be the third derivative of -w**7/105 + w**5/15 - w**3/3 + 6*w**2. Suppose s(b) = 0. Calculate b.
-1, 1
Find n such that 7*n + 2*n - 8*n**3 + 15*n**2 - n**3 - 61*n**4 + 58*n**4 - 12 = 0.
-4, -1, 1
Suppose -10 = 4*k - 2*k + 2*h, 5*k = -h - 9. Let s be (-1)/k - 2/14. What is l in 2/7*l**4 - 6/7*l**3 + 0*l - 2/7*l**2 + 0 + s*l**5 = 0?
-1, -1/3, 0, 1
Suppose -y - 3*y = -y. Find r such that -4/5*r - 28/5*r**3 - 4/5*r**5 + y + 18/5*r**2 + 18/5*r**4 = 0.
0, 1/2, 1, 2
Let h be (-30)/825 - (-6)/15. Suppose -18/11*g**4 - h*g - 10/11*g**2 + 32/11*g**3 + 0 = 0. What is g?
-2/9, 0, 1
Let u(w) be the first derivative of -w**3/3 + 4*w**2 - 16*w - 23. What is r in u(r) = 0?
4
Let w(t) be the third derivative of t**8/112 + t**7/14 + 9*t**6/40 + 7*t**5/20 + t**4/4 - 4*t**2. Suppose w(f) = 0. Calculate f.
-2, -1, 0
Let l(t) = -t**3 - 12*t**2 - 11*t. Let f be l(-11). Let p be 28/16 - 2/(-8). Factor 1/3*i**3 + 0 - 1/3*i**p + f*i.
i**2*(i - 1)/3
Let r = -12 + 16. Let w(d) be the third derivative of 0 + d**2 - 1/6*d**3 - 1/12*d**r + 7/60*d**5 + 0*d - 1/30*d**6. Factor w(b).
-(b - 1)**2*(4*b + 1)
Let f(k) be the second derivative of -7*k**5/90 - 5*k**4/54 + 2*k**3/27 - 10*k. Factor f(y).
-2*y*(y + 1)*(7*y - 2)/9
Suppose 8*k - 3*k = 3*l - 21, 3*l - k - 9 = 0. Suppose 2*v - z + 0*z - 8 = 0, -3*v + 2*z + 13 = 0. Factor -4*d**3 - 5*d**v - 5*d**2 + l*d + 2*d**3.
-d*(d + 1)*(7*d - 2)
Let a = -9232 + 64346/7. Let d = a - -40. Find c such that d*c**2 - 2/7*c**3 + 2/7*c + 0 - 2/7*c**4 = 0.
-1, 0, 1
Let m(d) be the second derivative of -d**8/3360 - d**4/6 - 3*d. Let l(q) be the third derivative of m(q). Factor l(u).
-2*u**3
Let a = 44/95 - 6/95. Factor 2/5*d**2 + a - 4/5*d.
2*(d - 1)**2/5
Suppose -2*l + 7*l - 13 = 4*v, 5*v - 30 = -3*l. Let k be 3/12 + (-11)/(-4). Determine q, given that -q**3 - k*q - q + l*q = 0.
-1, 0, 1
Let u(a) be the third derivative of -a**7/105 - a**6/60 - 7*a**2. Factor u(x).
-2*x**3*(x + 1)
Let s = -104 - -149. Let r be 6/(-27) + 28/s. Determine a so that r - 4/5*a - 32/5*a**2 + 64/5*a**3 = 0.
-1/4, 1/4, 1/2
Let d(k) be the first derivative of -2/35*k**5 + 2/21*k**3 + 0*k - 6 + 0*k**4 + 0*k**2. Factor d(h).
-2*h**2*(h - 1)*(h + 1)/7
Let v be (6/21)/((-10)/(-4)). Let h(p) be the first derivative of 1/14*p**4 + 0*p**2 + v*p**5 + 1 + 0*p**3 + 1/21*p**6 + 0*p. Factor h(m).
2*m**3*(m + 1)**2/7
Let u(m) be the third derivative of m**5/360 - m**4/24 + 5*m**3/36 + 26*m**2. Let u(g) = 0. Calculate g.
1, 5
Let k(d) = 6*d**4 - 24*d**3 + 26*d**2 + 56*d. Let h(g) = -g**4 + 5*g**3 - 5*g**2 - 11*g. Let q(o) = -16*h(o) - 3*k(o). Let q(t) = 0. Calculate t.
-4, -1, 0, 1
Factor 15*d**2 + 10*d - 6*d**3 + 14*d**3 - 3*d**3.
5*d*(d + 1)*(d + 2)
Let h(d) = -2*d**2 + d - 1. Let c(t) = 2*t**2 - 2*t + 2. Let o(u) = 7*c(u) + 6*h(u). Factor o(a).
2*(a - 2)**2
Let j(q) be the third derivative of q**5/210 - q**4/21 + 4*q**3/21 - 2*q**2 - 5*q. Factor j(u).
2*(u - 2)**2/7
Let o = 165 + -329/2. Find m such that -o*m**2 - 9/2 - 3*m = 0.
-3
Let v(h) be the first derivative of h**9/756 + h**8/210 + h**7/210 + 2*h**3/3 + 2. Let f(d) be the third derivative of v(d). Factor f(j).
4*j**3*(j + 1)**2
Let z(p) = p**2 + 4*p + 1. Let j be z(-5). Suppose j*w - 7*w = 0