t(n).
-3*(n - 1)*(n + 2)**2
Let f be 0*(-2 - -3)/(1 - 2). Let i(w) be the first derivative of -1/16*w**4 + f*w**3 + 5 + 1/8*w**2 + 0*w. Factor i(b).
-b*(b - 1)*(b + 1)/4
Let f(b) be the second derivative of 1/20*b**4 - 2*b - 1/100*b**5 - 1/10*b**3 + 1/10*b**2 + 0. Factor f(i).
-(i - 1)**3/5
Let x(y) be the third derivative of 5*y**6/36 - 4*y**5/3 + 21*y**4/4 - 98*y**3/9 + 30*y**2 - 1. Let x(d) = 0. Calculate d.
7/5, 2
Let l(g) be the first derivative of 2*g**5/5 + 9*g**4/2 - 2*g**3/3 - 9*g**2 - 310. Factor l(d).
2*d*(d - 1)*(d + 1)*(d + 9)
Let o(t) be the third derivative of t**8/336 - t**7/70 - t**6/24 + t**5/20 + t**4/6 - 297*t**2. Let o(r) = 0. Calculate r.
-1, 0, 1, 4
Suppose 18 = -5*n - 12. Let d = 3 - n. Factor -4 - 9*k - 11 + 9*k**3 + 3*k**2 + 3*k**4 + d.
3*(k - 1)*(k + 1)**2*(k + 2)
Suppose 4*n**3 + 96 - 43*n**2 + 5*n - 6*n**3 + 33*n**2 + 11*n = 0. Calculate n.
-4, 3
Let q(b) be the second derivative of 1/105*b**6 + 0 + 1/21*b**3 - 1/42*b**4 + 26*b + 0*b**2 - 1/70*b**5. Factor q(o).
2*o*(o - 1)**2*(o + 1)/7
Let d(i) = 6*i**3 - 16*i**2 + 100*i + 117. Let r(p) = 4*p**3 - 8*p**2 + 50*p + 59. Let y(g) = -3*d(g) + 5*r(g). Factor y(v).
2*(v - 4)*(v + 1)*(v + 7)
Suppose 5*n = 9*n - 256. Factor 30*b**3 + 50*b - 60*b**2 + 59*b**4 - 128*b**4 + n*b**4 - 15.
-5*(b - 3)*(b - 1)**3
Suppose 4*u - 5*q = u + 24, -4*u + 5*q + 27 = 0. Let v(n) be the third derivative of 0*n + 1/60*n**5 + 1/12*n**4 + 0 + 3*n**2 + 0*n**u. Factor v(r).
r*(r + 2)
Factor -2/7*l**2 + 2/7*l**4 + 2/7*l**3 + 0*l + 0 - 2/7*l**5.
-2*l**2*(l - 1)**2*(l + 1)/7
Let c(a) = a**5 + 19*a**4 + 5*a**3 - 3*a**2 - 5*a + 5. Let r(s) = s**5 + 29*s**4 + 7*s**3 - 5*s**2 - 8*s + 8. Let x(m) = 8*c(m) - 5*r(m). Factor x(l).
l**2*(l + 1)**2*(3*l + 1)
Let f be 28/45 + (-2)/5. Let d = 7359 - 7357. Factor -f*g + 1/9*g**d + 1/9.
(g - 1)**2/9
Let i = -4936 - -14809/3. Factor 1/6*q**5 + i*q**2 - 1/6*q**4 - 1/6 + 1/6*q - 1/3*q**3.
(q - 1)**3*(q + 1)**2/6
Let g(h) be the second derivative of h**4/3 + 74*h**3 + 436*h**2 + 40*h + 3. Let g(y) = 0. Calculate y.
-109, -2
What is k in -589*k**3 + 294*k**3 + 293*k**3 + 2*k = 0?
-1, 0, 1
Let l be 10/(-2)*2/(-2). Suppose 3*a = -l*a + 5*a. Factor -4/5*u**2 + 4/5 + a*u.
-4*(u - 1)*(u + 1)/5
Let v = -2693/21805 + 22/245. Let r = 199/623 + v. Solve -r*x - 2/7*x**2 + 0 = 0 for x.
-1, 0
Factor 4*y**5 + 3*y**5 - 14*y**4 + 10*y**2 - y - 2*y**5 - 4*y + 4*y**4.
5*y*(y - 1)**3*(y + 1)
Let i(c) be the second derivative of c**7/168 - c**6/60 - c**5/80 + c**4/24 - 20*c - 2. Suppose i(y) = 0. What is y?
-1, 0, 1, 2
Let m(k) = 10*k**4 - 198*k**3 + 520*k**2 + 930*k + 202. Let v(y) = -y**4 + y**3 + 2*y**2 + y + 1. Let c(r) = -m(r) + 6*v(r). What is o in c(o) = 0?
-1, -1/4, 7
Let t = 18 - 13. Let d(b) = 11*b**2 - 20*b + 12. Let h(i) = 2*i**2 - 9*i**2 - 448*i + 461*i - 8. Let u(v) = t*d(v) + 8*h(v). Factor u(y).
-(y - 2)**2
Solve -37/2*m**2 - m**5 - 16*m**3 - 2 - 10*m - 13/2*m**4 = 0 for m.
-2, -1, -1/2
Let n(z) be the third derivative of z**7/70 + z**6/8 - 11*z**5/10 + 2*z**4 + 84*z**2 - 2. Factor n(k).
3*k*(k - 2)*(k - 1)*(k + 8)
Let j(w) be the first derivative of 5/6*w - 35 + 1/18*w**3 + 1/2*w**2. Solve j(o) = 0 for o.
-5, -1
Let w(u) = u**2 - 4*u + 2. Suppose 0*q + 8 = 2*q. Let p be w(q). Factor -2*r**4 + 4*r**4 + 2*r**4 - 2*r**2 - p*r**4.
2*r**2*(r - 1)*(r + 1)
Let y(p) be the first derivative of p**4/16 - 11*p**3/12 - 3*p**2/2 + 63. Find l, given that y(l) = 0.
-1, 0, 12
Determine x, given that 1/2*x**2 + 3/2*x + 0 = 0.
-3, 0
Let k(m) be the third derivative of -m**7/525 + 11*m**6/300 + 28*m**5/75 + m**4 + 72*m**2 - 2. Suppose k(n) = 0. What is n?
-2, 0, 15
Suppose -45*k + 52*k = 28. Let g = 8 - 6. Let 0*n - 10/11*n**3 + 6/11*n**k + 0 + 4/11*n**g = 0. Calculate n.
0, 2/3, 1
Let h = 286 + -284. Let w(t) be the third derivative of -1/40*t**5 + 0*t + 0 + 0*t**3 + 3*t**h - 1/40*t**6 + 1/16*t**4. Factor w(x).
-3*x*(x + 1)*(2*x - 1)/2
Let i(f) be the third derivative of f**11/66528 + f**10/10080 + 3*f**5/10 - 28*f**2. Let m(b) be the third derivative of i(b). Factor m(z).
5*z**4*(z + 3)
Determine f, given that 17*f**2 - 1439*f**3 + 1440*f**3 - 25*f**2 - 48*f = 0.
-4, 0, 12
Let n be -56*(-1)/(4/8 + 0). Find m, given that 64 + 3*m**3 - 112*m**2 + n*m + 12*m**3 + 5*m**3 = 0.
-2/5, 2, 4
Let x(y) = -y**3 - y**2 - 2. Let v(n) = 40*n**3 - 20*n**2 - 34*n + 38. Let j(k) = -2*v(k) - 44*x(k). Factor j(s).
-4*(s - 3)*(3*s + 1)**2
Suppose 0 = -0*v + 3*v + 4*b + 37, 5*v + 2*b + 43 = 0. Let s = -5 - v. Let -4*n + n + 6*n - 1 - 2*n**s = 0. Calculate n.
1/2, 1
Suppose 0*f - 5*f = -5. Solve 1 - 3*r**2 + f + r - 3*r**3 + 2*r + 1 = 0 for r.
-1, 1
Let j(a) = -4*a - 1 + a**2 - 6*a**2 + 2*a**2 + 4*a**2. Let z be j(5). Factor -2*m**2 + 2/3*m**z + 2/3*m**3 - 10/3*m - 4/3.
2*(m - 2)*(m + 1)**3/3
Let u(p) be the first derivative of 12*p**5 + 78*p**4 + 501*p**3/5 + 51*p**2/2 + 12*p/5 + 79. What is t in u(t) = 0?
-4, -1, -1/10
Let a be -10 + (-37)/((-74)/24). Factor -8/19*d - 8/19 - 2/19*d**a.
-2*(d + 2)**2/19
Let z(d) be the second derivative of 0 + 3/14*d**3 - 24*d - 1/21*d**4 - 1/7*d**2. Factor z(k).
-(k - 2)*(4*k - 1)/7
Find i, given that 28*i**3 + 22 - 240*i - 33 - 22 - 48*i**2 + 6 - 37 = 0.
-2, -2/7, 4
Suppose 7 = 8*v - 9. Suppose 5*n**3 - v*n**2 + 12*n**5 - 2*n**2 - 225*n**4 + 15*n**3 + 197*n**4 = 0. Calculate n.
0, 1/3, 1
Let t = 519/4 - 129. Let y(f) be the first derivative of 0*f - 1/2*f**6 + t*f**4 + f**3 - 3/5*f**5 + 4 + 0*f**2. Let y(o) = 0. Calculate o.
-1, 0, 1
Let v be (-7)/(21/(-18)) - 4. Suppose 4*b - 29 = 3*j + v*j, -3*b + 39 = 2*j. Suppose -3*x + 4*x**4 + 16*x**3 - 7*x**2 - b*x**3 + x = 0. Calculate x.
-2, -1/4, 0, 1
Suppose -3*s + 4*d = -3312, 0 = -2*s - d - d + 2208. Factor 155 + s*k + 6 + 344*k**2 + 28*k**3 + 127.
4*(k + 6)**2*(7*k + 2)
Let s(j) be the first derivative of -j**5/100 + j**4/20 + 3*j**3/10 + j**2/2 - 22*j - 21. Let k(d) be the first derivative of s(d). Solve k(l) = 0 for l.
-1, 5
Find i, given that 10*i**2 - 445/2*i + 15/2*i**3 - 75 = 0.
-6, -1/3, 5
Suppose 4*v - 4 = 2*z, 6*v - 15 + 11 = 2*z. Factor 5/3*w**3 + 5/3*w - 10/3*w**2 + v.
5*w*(w - 1)**2/3
Suppose g + 4 = 11. Factor -2*n**2 - 5*n**3 - 1 + g*n**2 + 5*n - 4.
-5*(n - 1)**2*(n + 1)
Suppose 0*a - 24/7*a**2 - 20/7*a**3 + 0 - 4/7*a**4 = 0. What is a?
-3, -2, 0
Let s(n) = -n**3 + 15*n**2 + 6. Let x be s(15). Determine w so that 4*w**5 + 4*w**4 - 4*w**3 - 4*w**2 - 6*w**4 + x*w**4 = 0.
-1, 0, 1
Factor 19494/5 - 684/5*d + 6/5*d**2.
6*(d - 57)**2/5
Factor -2/21*o**3 + 26/21*o**2 + 0 + 4/3*o.
-2*o*(o - 14)*(o + 1)/21
Let c(s) = -s**3 + 25*s**2 + 23*s + 10. Let z be c(25). Suppose 2*p - 2*p**2 - 585 + 6*p + z = 0. Calculate p.
0, 4
Let o(y) be the second derivative of 3*y**5/16 + 43*y**4/48 + y**3 - y**2/2 + 64*y. Factor o(b).
(b + 1)*(b + 2)*(15*b - 2)/4
Factor -202/3*y**2 - 17/3 + 8/9*y**4 - 44*y**3 - 305/9*y.
(y - 51)*(2*y + 1)**3/9
Let v(j) be the third derivative of -5*j**8/336 - 2*j**7/21 + j**6/3 + 16*j**5/3 + 70*j**4/3 + 160*j**3/3 + 3*j**2 + 14*j. Determine q so that v(q) = 0.
-2, 4
Suppose 8 = -4*g, 7*g - 4*g + 206 = 4*d. Solve -14*i - 6*i + 13*i**2 - 11*i**2 + d = 0.
5
Let q(j) be the third derivative of -j**6/12 - j**5/4 + 5*j**4/8 + 5*j**3/3 + 59*j**2 - 2. Solve q(g) = 0 for g.
-2, -1/2, 1
Suppose -16*h + 15*h = -4. Factor 144*z**4 - 143*z**4 + h*z**3 - 12*z + 3 + 6 - 2*z**2.
(z - 1)**2*(z + 3)**2
Factor 52*p**2 - 29*p**2 - 35*p**2 + 8*p**4 + 2*p**3 + 2*p**5.
2*p**2*(p - 1)*(p + 2)*(p + 3)
Let v(x) = x - 3. Let g(s) = s**2 - 11*s. Let z(f) = 3*g(f) + 21*v(f). Factor z(b).
3*(b - 7)*(b + 3)
Let j be 44/4 - (7 + 4). Factor 1/5*w**2 + 0*w + j.
w**2/5
Let g(v) = 12*v**4 - 37*v**3 + 47*v**2 - 23*v + 7. Let m(o) = -o**3 - o**2 + o - 2. Let t(n) = g(n) + 2*m(n). Factor t(h).
3*(h - 1)**3*(4*h - 1)
Solve 0 - 40/3*b + 20/3*b**4 + 4/3*b**5 - 68/3*b**2 - 4*b**3 = 0.
-5, -1, 0, 2
Factor -4/9*d**3 + 128/9*d**2 + 0 + 44/3*d.
-4*d*(d - 33)*(d + 1)/9
Let c be 16/(-2)*(4 + (-51)/12). Find p such that 3*p**2 + 216*p + 5*p**c - 217*p = 0.
0, 1/8
Let i(a) be the second derivative of -2*a**7/21 - 14*a**6/15 - 11*a**5/5 - 5*a**4/3 - 141*a. What is q in i(q) = 0?
-5, -1, 0
Factor -198*r**3 - 108*r**2 - 524*r**2 - 2997*r - 2750 - 113*r**2 - 551*r**2 + 3*r**5 + 6*r**4 + 320.
3*(r - 10)*(r + 3)**4
Suppose 1 = -7*g + 43. Suppose 5*s + 12*s*