*3 + 0*h + 0.
4*h**2*(h + 1)*(5*h + 2)/5
Let v(z) be the third derivative of z**8/168 - 29*z**7/420 + 67*z**6/240 - 67*z**5/120 + 29*z**4/48 - z**3/3 + 131*z**2. Solve v(p) = 0 for p.
1/4, 1, 4
Let p(x) be the third derivative of x**5/12 - 10*x**4/3 + 70*x**3/3 + 4*x**2 - 33. Find d, given that p(d) = 0.
2, 14
Suppose -n + 6*n + 5*y = -10, -5*y - 10 = 0. Factor -108*h**2 - 2916 + n*h**3 + 185*h + 215*h + 572*h + 4*h**3.
4*(h - 9)**3
Solve -5*j**2 + 5/2 + 0*j + 5/2*j**4 + 0*j**3 = 0.
-1, 1
Let x be 17/(-323) - ((-280)/(-95) + -6). Factor -3*l - 1/2*l**2 + 0 + 1/2*l**x.
l*(l - 3)*(l + 2)/2
Let -3*s**4 + 0*s**2 - 33/2*s**3 - 15 + 69/2*s = 0. Calculate s.
-5, -2, 1/2, 1
Let y(w) be the third derivative of -1/60*w**6 + 5/12*w**4 - 1/105*w**7 + 0*w + 0 + 1/10*w**5 + 9*w**2 + 2/3*w**3. Factor y(c).
-2*(c - 2)*(c + 1)**3
Let b = 5 - 4. Let k(d) = d**3 + 1. Let z(a) = 12*a - 4. Let r(q) = b*z(q) - 4*k(q). Suppose r(i) = 0. What is i?
-2, 1
Let n(r) be the third derivative of r**7/455 + 23*r**6/390 + 2*r**5/15 - 14*r**4/39 - 7*r**2 - 2*r. Solve n(h) = 0.
-14, -2, 0, 2/3
Solve p**3 + 69*p + 2*p**2 + 12*p**2 - 241*p - 6*p**2 + 160 + 3*p**3 = 0.
-8, 1, 5
Let k(b) be the second derivative of 5*b**7/84 - 2*b**6/3 + 11*b**5/4 - 5*b**4 + 15*b**3/4 - 3*b - 16. Solve k(n) = 0.
0, 1, 3
Suppose -11 = -3*i - 29. Let s be i/12 - 14/(-4). Determine l so that -2*l**4 - l - 3*l**4 + s*l**4 + 2*l**2 + l**5 = 0.
-1, 0, 1
Suppose -s + 5 = 4*p, -2*p + 7 - 22 = -3*s. Factor 1/3 - k**4 + 2/3*k**2 - 1/3*k**s + k - 2/3*k**3.
-(k - 1)*(k + 1)**4/3
Suppose -o + 4*o = -30. Let t(u) = 8*u**4 + 10*u**3 - 8*u**2 + 10*u. Let d(p) = -p**2 + p. Let g be (2 - 0/4) + -1. Let h(a) = g*t(a) + o*d(a). Factor h(s).
2*s**2*(s + 1)*(4*s + 1)
Suppose 0*w = 2*w - 4. Determine h, given that -1 - 4*h - h**2 + w*h + 4*h = 0.
1
Suppose 7*r - 13 - 9 = -8. Factor 1/3*l**r - 1/3*l + 0.
l*(l - 1)/3
Let z(v) be the second derivative of v**6/30 - 7*v**5/60 - 19*v**4/36 - 5*v**3/18 + 2*v**2/3 + 2*v + 198. Factor z(x).
(x - 4)*(x + 1)**2*(3*x - 1)/3
Factor -102/5*g - 66/5*g**2 + 12.
-6*(g + 2)*(11*g - 5)/5
Factor 7*s**2 - 16*s + 5*s**3 + 40*s - 15*s**2 - 7*s**2 - 14*s.
5*s*(s - 2)*(s - 1)
Let a = 24 + 0. Factor 12*x**2 + 7*x**3 - 11*x**3 + 2*x**3 + 16 - a*x.
-2*(x - 2)**3
Suppose 6 = 4*y - 10. Let a(j) = -3 + 13 - y + 12*j + 9 - 3*j**2. Let p(i) = -7*i**2 + 24*i + 31. Let d(u) = 13*a(u) - 6*p(u). Factor d(r).
3*(r + 1)*(r + 3)
Let f be -80*16/(-200) - 4. Suppose f*v - 8/5 - 4/5*v**2 = 0. Calculate v.
1, 2
Let r(s) be the third derivative of s**6/1080 - s**5/180 - s**4/216 + s**3/18 - 78*s**2 + 3*s. Factor r(y).
(y - 3)*(y - 1)*(y + 1)/9
Let h(o) be the first derivative of o**3/3 + 4*o**2 + 18*o - 28. Let b be h(-4). Suppose b*t**4 + 15/8*t - 1/4 - 23/8*t**2 - 3*t**3 = 0. Calculate t.
-1, 1/4, 2
Let g(c) be the third derivative of -11/100*c**5 + 0*c + 3/40*c**6 - 11/40*c**4 - 1/5*c**3 + 9/350*c**7 + 0 - 23*c**2. Suppose g(l) = 0. What is l?
-2, -1/3, 1
Let q(t) be the first derivative of 0*t**2 - 8/3*t**3 + 4 + 0*t + 4*t**4 + 1/3*t**6 - 2*t**5. Determine o, given that q(o) = 0.
0, 1, 2
Let t(h) be the third derivative of h**6/1800 + h**5/200 + 5*h**3/2 + 2*h**2. Let v(w) be the first derivative of t(w). Factor v(u).
u*(u + 3)/5
Let 39/7*c + 165/7*c**3 - 222/7*c**2 + 18/7 = 0. Calculate c.
-1/5, 6/11, 1
Let f be (-1)/(-3)*(170/(-425) + (-278)/(-20)). Factor -f*c**3 + 3*c**2 + 3/2*c**4 + 0*c + 0.
3*c**2*(c - 2)*(c - 1)/2
Let f(r) be the third derivative of -r**6/540 - 11*r**5/270 - 2*r**4/9 + 4*r**3/3 + 83*r**2. Let f(h) = 0. What is h?
-6, 1
Let i(j) be the first derivative of 5*j**4/4 + 70*j**3/3 + 325*j**2/2 + 500*j + 81. Factor i(m).
5*(m + 4)*(m + 5)**2
Let h = -21 + 34. Let g = h + -9. Find c, given that -3*c**5 + 47*c + 6*c**4 + 3*c**g - 6*c**2 - 3 - 6*c**3 - 38*c = 0.
-1, 1
Let d(c) = -3*c**2 + 15*c - 27. Let m(x) = x**2 - 7*x + 12. Let r(j) = -4*d(j) - 10*m(j). What is t in r(t) = 0?
-6, 1
Let h(c) be the first derivative of c**6/2 - 9*c**5/5 + 3*c**4/4 + 3*c**3 - 3*c**2 + 77. Factor h(y).
3*y*(y - 2)*(y - 1)**2*(y + 1)
Let a be ((-5)/180)/(72/(-27)). Let s(v) be the third derivative of -1/240*v**5 + 0*v + 0*v**3 + 1/840*v**7 - a*v**4 + 0 + 1/480*v**6 + 5*v**2. Solve s(m) = 0.
-1, 0, 1
Let u(m) be the third derivative of -m**8/6720 + m**6/720 - m**4/96 - 17*m**3/6 - 8*m**2. Let z(i) be the first derivative of u(i). Solve z(l) = 0 for l.
-1, 1
Let w(o) be the second derivative of 2*o**2 - 1/15*o**5 - 4*o - 2/3*o**3 - 1/3*o**4 + 0. Let p(z) be the first derivative of w(z). Factor p(q).
-4*(q + 1)**2
Let w(z) be the third derivative of -1/24*z**6 - 1/14*z**7 + 5/12*z**4 + 1/4*z**5 + 0 + 24*z**2 + 0*z + 0*z**3 - 5/336*z**8. What is m in w(m) = 0?
-2, -1, 0, 1
Let j = 1/13 + -5/234. Let g(v) be the second derivative of 1/60*v**5 - j*v**3 + 0 + 3*v + 0*v**4 - 1/12*v**2 + 1/180*v**6. Suppose g(l) = 0. What is l?
-1, 1
Suppose -42 = -436*n + 422*n. Let 2/3*d**4 + 16/9*d - 2/9*d**5 + 4/9*d**n - 8/3*d**2 + 0 = 0. What is d?
-2, 0, 1, 2
Let x be (5 + -10 + 8)*-3*(-1)/15. Let 1/5*k**2 - x - 2/5*k = 0. Calculate k.
-1, 3
Let x(n) be the second derivative of 0 + 1/3*n**3 - 5/12*n**4 + 7/30*n**5 - 1/20*n**6 + n**2 + 5*n. Let b(s) be the first derivative of x(s). Factor b(h).
-2*(h - 1)**2*(3*h - 1)
Let a(o) = 2*o**2 + o - 1. Let w(z) = 55*z**2 + 2755*z - 1115. Let g(x) = -15*a(x) + w(x). Factor g(j).
5*(j + 110)*(5*j - 2)
Factor -3*n**3 + 1/2*n**2 + 9/2*n**4 + 0*n + 0.
n**2*(3*n - 1)**2/2
Let k be ((-210)/(-26) + -58 + 50)/(1/10). Let -k*a - 8/13*a**3 - 4/13 + 22/13*a**2 = 0. Calculate a.
-1/4, 1, 2
Let c(f) be the second derivative of f**5/130 + 5*f**4/39 - f**3/13 - 108*f**2/13 - 16*f + 33. Factor c(o).
2*(o - 3)*(o + 4)*(o + 9)/13
Let n be (-6)/(-51) + (-168)/(-17). Factor 3*u**3 - 8*u**3 - 6 + 23*u + n*u**3 - 22*u**2.
(u - 3)*(u - 1)*(5*u - 2)
Let w(l) be the first derivative of 2*l**3/15 + 8*l**2/5 - 18*l/5 - 301. Factor w(j).
2*(j - 1)*(j + 9)/5
Let y(d) = -75*d**2 - 30*d + 30. Suppose -15*q + 152 = 2. Let o(k) = -k + 1. Let r(n) = q*o(n) - y(n). Factor r(h).
5*(3*h + 2)*(5*h - 2)
Factor 6889 + 1/4*z**2 - 83*z.
(z - 166)**2/4
Let w(o) be the first derivative of -28 - 5/2*o**2 + 5/3*o**3 + 0*o. Find y, given that w(y) = 0.
0, 1
Suppose -d = -l + 18, 0 = -5*l - 2*d - 3*d + 130. Let r be l/(-72) - 66/(-88). Find w such that -2/9*w + r - 2/9*w**2 = 0.
-2, 1
Let x = 3124/447 + 250/149. Solve 2*p**3 + 8/3*p + 0 - x*p**2 = 0 for p.
0, 1/3, 4
Let m(i) be the third derivative of 0 + 0*i**6 + 0*i + 19*i**2 - 1/840*i**7 + 1/240*i**5 + 0*i**3 + 0*i**4. Factor m(q).
-q**2*(q - 1)*(q + 1)/4
Let p be (102/3)/(16 - -2). Let l(s) be the second derivative of -s**2 + 5*s - 16/9*s**3 - 6/5*s**5 - 4/63*s**7 - 19/45*s**6 - p*s**4 + 0. Factor l(m).
-2*(m + 1)**4*(4*m + 3)/3
Let m = 5/89 + 781/356. Let z(l) be the first derivative of -1 - 6*l - 8*l**3 + 21/2*l**2 + m*l**4. Factor z(u).
3*(u - 1)**2*(3*u - 2)
Let v = -18 + 12. Let c = 8 + v. Factor 0*g**c + 6 + 9*g**2 - 6 + 9*g**3 + 3*g**4 + 3*g.
3*g*(g + 1)**3
Let q = -106969/4 - -5776219/216. Let k = -10/27 - q. Let 0 - 1/8*y**5 - 1/4*y**4 - k*y**3 + 0*y**2 + 0*y = 0. Calculate y.
-1, 0
Let p = 26585 - 26583. Factor -16/5*y**p - 4/5 - 34/5*y.
-2*(y + 2)*(8*y + 1)/5
Let r = 58591/30 - 1953. Let v(i) be the third derivative of -1/6*i**4 + 6*i**2 + r*i**6 + 0*i + 0 - 2/15*i**5 + 4/3*i**3. Factor v(l).
4*(l - 2)*(l - 1)*(l + 1)
Let m = -192 + 195. Let n(s) be the first derivative of -12*s**4 + 3*s - 27/2*s**2 - 1 + 24*s**m. Factor n(v).
-3*(v - 1)*(4*v - 1)**2
Let a be ((-1)/((-4*1)/4))/1. Let t be (-1)/(-36) + a*6/27. What is h in 1/4*h**5 - t*h**4 + 0 + 0*h + 0*h**2 + 0*h**3 = 0?
0, 1
Suppose -8 = -3*u + 6*u + 4*y, -4*u - 4*y - 4 = 0. Let r(j) be the second derivative of -4/15*j**3 + 0 + 4/5*j**2 + 1/30*j**u - 7*j. Factor r(f).
2*(f - 2)**2/5
Let n(c) = -2*c**3 + 6*c**2 - 2*c - 19. Let q be n(5). Let d = q + 131. Determine j so that -8/5*j - 4/5*j**d - 4/5 = 0.
-1
Suppose -8*z = 11*z - 10*z + 7*z. Factor z - 9/7*m**5 - 12/7*m**4 + 0*m + 6/7*m**2 + 3/7*m**3.
-3*m**2*(m + 1)**2*(3*m - 2)/7
Let t(u) be the third derivative of u**5/150 + 3*u**4/20 - 22*u**3/15 - 7*u**2 + 7. Solve t(d) = 0 for d.
-11, 2
Let y be (7/2 - 3)*10. Suppose 0 = 4*d - 4*c - 25 - 7, -y*d = 3*c. Determine p, gi