 - 1/70*t**6 - 19*t + 1/4*t**4. Factor s(x).
-3*x*(x - 1)**2*(x + 4)/7
Suppose 88*d - 210 = 54. Let j(v) be the second derivative of 0 - 1/54*v**4 + 2/27*v**d - 1/9*v**2 - 12*v. Factor j(n).
-2*(n - 1)**2/9
Let c(x) = x**2 - 58*x - 59. Let f be c(59). Let r(o) be the third derivative of 0 + f*o - 1/8*o**4 + 0*o**3 + 0*o**5 + 4*o**2 + 1/40*o**6. Factor r(z).
3*z*(z - 1)*(z + 1)
Let k(d) be the third derivative of -d**6/240 - d**5/72 + 7*d**4/24 - 10*d**3/9 + 686*d**2. Determine x, given that k(x) = 0.
-5, 4/3, 2
Let j(q) = -36*q + 399. Let l be j(11). Find y, given that 0*y**2 + 4/7*y**l - 4/7*y + 0 = 0.
-1, 0, 1
Let j(r) be the third derivative of r**8/112 + r**7/5 + 23*r**6/40 - 7*r**5/10 - 3*r**4 + 641*r**2. Find d, given that j(d) = 0.
-12, -2, -1, 0, 1
Let h(s) = -7*s**2 - 1. Let a be h(-1). Let z be 0 + (a/(-2) - 1). Factor 4*l**2 - 5*l**3 + 5*l**3 + 0*l**z + 4*l**3.
4*l**2*(l + 1)
Factor -1044/7*f - 658503/7*f**3 + 8/7 + 45414/7*f**2.
-(87*f - 2)**3/7
Let f(h) be the third derivative of -h**5/360 + 5*h**4/6 - 100*h**3 - 324*h**2. Let f(s) = 0. What is s?
60
Let y = 14/41 - 89/861. Let k = 1/21 + y. Determine h so that -4/7*h**3 + k*h**4 + 2/7*h + 2/7 + 2/7*h**5 - 4/7*h**2 = 0.
-1, 1
Let w be (-14)/(-7) + 212/2. Factor 2*y**3 + 4*y**2 + w - 108 + 2*y.
2*y*(y + 1)**2
Let v(p) = -141*p - 842. Let i be v(-6). Solve 0*g + 2/11 + 2/11*g**i - 4/11*g**2 + 0*g**3 = 0 for g.
-1, 1
Let r(i) = -i**2 - i + 1. Suppose 0 = 4*w - w - 9. Let s(o) = w + 0*o - 2*o**2 + o + 5. Let n(v) = 5*r(v) - s(v). Solve n(b) = 0 for b.
-1
Let c(u) = -104*u**3 - 2 + 1 + u + 103*u**3. Let p(i) = 18*i**4 + 82*i**3 - 166*i**2 + 78*i - 8. Let s(m) = -4*c(m) - p(m). Let s(a) = 0. Calculate a.
-6, 1/3, 1
Factor 0*m + 0 + 32*m**3 + 156/5*m**2 + 4/5*m**4.
4*m**2*(m + 1)*(m + 39)/5
Solve 0 + 8/7*f**2 + 2/7*f**3 + 6/7*f = 0 for f.
-3, -1, 0
Suppose -5*n = 4*p - 26, -4*p - 165*n + 169*n + 8 = 0. Find x such that 3/8*x + 3/4*x**2 - 3/8*x**5 + 0*x**3 - 3/4*x**p + 0 = 0.
-1, 0, 1
Let h(f) = 14*f**2 + 716*f - 710. Let z(c) = -4*c**2 - 238*c + 236. Let m(w) = 3*h(w) + 10*z(w). Factor m(a).
2*(a - 115)*(a - 1)
Suppose -k - g = -8, -14 - 53 = -4*k + 3*g. Factor -3*t**2 + 11*t**3 - 23*t**3 + k*t**3.
t**2*(t - 3)
Let u(s) be the second derivative of 1/10*s**5 + 0*s**2 + 1/3*s**4 + 1/3*s**3 - 20*s + 0. Let u(h) = 0. Calculate h.
-1, 0
Factor 2/5*l**2 - 112*l + 7840.
2*(l - 140)**2/5
Let k = -7479 - -82275/11. Let 6/11*a - 4/11*a**3 - 2/11 - 2/11*a**5 + k*a**4 - 4/11*a**2 = 0. What is a?
-1, 1
Suppose 135*t = 139*t. Let h(o) be the second derivative of 0 + 1/6*o**3 + t*o**2 - 7*o + 1/60*o**5 + 1/9*o**4. Factor h(z).
z*(z + 1)*(z + 3)/3
Let l = -92 + 95. Factor 4*j**l + j**2 - 3*j**3 - 2*j**3 + j**2 - 2*j**4 + j**5.
j**2*(j - 2)*(j - 1)*(j + 1)
Let k(v) = 22*v - 524. Let b be k(24). Let g(y) be the third derivative of 0*y + 4/21*y**3 + 1/210*y**5 + 0 - 1/21*y**b - 4*y**2. Factor g(d).
2*(d - 2)**2/7
Let m be 0/(-2) - (-9)/1. Factor 12*n**2 - m + 3 - 4*n - 6 + 4*n**3.
4*(n - 1)*(n + 1)*(n + 3)
Let v(a) be the second derivative of -a**8/20160 + a**6/180 + 2*a**5/45 - 13*a**4/6 + 30*a. Let z(t) be the third derivative of v(t). Factor z(c).
-(c - 4)*(c + 2)**2/3
Suppose -3*c - 26 = -5*r, -c - 5 = 2*r - 11. Let g(u) be the first derivative of 1/6*u**2 - 1/9*u**3 + r + 1/3*u - 1/12*u**4. Factor g(b).
-(b - 1)*(b + 1)**2/3
Let q be ((-8)/(-24))/(6/9 + (-16)/33). Factor 0 - q*v**2 - v**3 - 1/6*v**4 - v.
-v*(v + 1)*(v + 2)*(v + 3)/6
Factor 32*j**3 + 13*j**2 + 20*j**2 - 28*j**3 + 11*j**2.
4*j**2*(j + 11)
Let x be (2 - 3)*6 + 0. Let l be ((-8)/x)/(6/9). Factor 6 + 0*o**2 - 3*o**l - 3*o + 0.
-3*(o - 1)*(o + 2)
Suppose 0 = -5*c + 5*k - 15, 3*k = -c - 11 - 0. Let b(m) = 25*m**2 - 15*m - 5. Let z(x) = -13*x**2 + 8*x + 3. Let n(f) = c*z(f) - 2*b(f). Factor n(w).
5*(w - 1)*(3*w + 1)
Let h(k) = -k**3 - 7*k**2 + 3*k - 8. Let p be h(-7). Let y = p + 34. Factor -3*r**3 - 5*r**2 - 2*r + y*r**3 + 5*r**2 + r**4 - r**2.
r*(r - 1)*(r + 1)*(r + 2)
Suppose 0 = -6*a + 519 + 375. Let p = -141 + a. Factor p*g**3 - 7/2*g - 4*g**2 - 1/2.
(g - 1)*(4*g + 1)**2/2
Let x(a) = 9*a**2 + 15*a - 99. Let j(s) = s**2 + 2*s - 12. Let c(y) = -33*j(y) + 4*x(y). Factor c(k).
3*k*(k - 2)
Let m(l) be the second derivative of l**6/180 - l**5/60 - l**4/6 + 7*l**3/6 + 4*l. Let d(q) be the second derivative of m(q). Determine g so that d(g) = 0.
-1, 2
Factor -48 + 792*d**2 - 402*d**2 - 310*d**2 - 272*d - 332*d**2.
-4*(7*d + 6)*(9*d + 2)
Factor w - 57*w**2 + 6*w**3 + 3*w**4 - 8*w - 60*w**3 + 7*w.
3*w**2*(w - 19)*(w + 1)
Let n = 29 + 1. Let w be 14/n + (-5)/(-25). Factor w*v**2 + 2/3*v + 0.
2*v*(v + 1)/3
Let o(y) be the second derivative of 1/63*y**7 + 0*y**2 - 1/27*y**4 + 7/90*y**5 - 8/135*y**6 + 6*y + 0*y**3 + 0. Let o(v) = 0. What is v?
0, 2/3, 1
Let h(c) = -5*c**2 + 31*c + 11. Let p be (-2*28/(-8))/1. Let w = p + -9. Let l(q) = -q**2 + 6*q + 2. Let a(t) = w*h(t) + 11*l(t). Solve a(v) = 0 for v.
0, 4
Let d(t) = -t**3 - 3*t**2 + 2*t. Let y be d(-3). Let i be (-174)/9*y/4. Factor -2*u**2 - i*u - 3*u + 64 + 2*u**2 + 4*u**2.
4*(u - 4)**2
Let l(c) be the first derivative of c**6/18 + 2*c**5/15 - 9*c**4/4 - 12*c**3 - 18*c**2 + 436. Factor l(q).
q*(q - 6)*(q + 2)*(q + 3)**2/3
Let z(t) be the first derivative of -t**3/3 + t**2/2 + 2*t + 66. Factor z(h).
-(h - 2)*(h + 1)
Let j(d) be the first derivative of -d**8/4200 + d**7/300 - 25*d**3/3 + 14. Let z(x) be the third derivative of j(x). Suppose z(u) = 0. Calculate u.
0, 7
Let a(n) = 2*n**2 - 18*n + 41. Let v be a(6). Factor 3/7*c**v + 6/7*c**3 - 9/7*c**4 - 9/7*c + 6/7*c**2 + 3/7.
3*(c - 1)**4*(c + 1)/7
Let h(z) be the first derivative of 4*z**3/3 + 262*z**2 + 1032*z - 599. Solve h(v) = 0.
-129, -2
Let s(b) be the third derivative of 0*b - 1/18*b**4 + 2/45*b**5 - 1/210*b**7 + 0 - 1/360*b**6 - 38*b**2 + 0*b**3. Factor s(t).
-t*(t - 1)*(t + 2)*(3*t - 2)/3
Find l such that 71/6 - 35/3*l - 1/6*l**2 = 0.
-71, 1
Let s(j) = -6*j**4 + 2*j**3 - 2*j**2 + 6. Let t(b) = b**2 - 1. Let v(k) = s(k) + 6*t(k). Factor v(n).
-2*n**2*(n - 1)*(3*n + 2)
Let p(g) be the second derivative of 1/6*g**6 + 10*g**4 + g - 5/2*g**5 + 0 - 55/3*g**3 + 35/2*g**2. Suppose p(c) = 0. Calculate c.
1, 7
Suppose 4*n = 7*n - 54. Let q be 14/(-21) + 0 + 20/n. Find d such that 0*d + 2/9*d**4 + 2/9 - q*d**2 + 0*d**3 = 0.
-1, 1
Suppose -56*w - 22 + 4*w**4 - 2 - 12*w**2 - 22 + 16*w**3 + 14 = 0. Calculate w.
-4, -1, 2
Suppose -9*y + 18 = 2*k - 12*y, 5*y = k - 30. Let 0*f**2 + 2/11*f**5 + 0*f**3 + k + 0*f + 0*f**4 = 0. What is f?
0
Let w be (5/1 - 2) + 0. Factor -9*d**3 - 78*d + 3 + 23*d - 26*d**w + 7 + 80*d**2.
-5*(d - 1)**2*(7*d - 2)
Let d(a) be the third derivative of a**7/105 - a**6/15 - a**5/30 + 4*a**4/3 - 4*a**3 - 2*a**2 - 33. Solve d(m) = 0.
-2, 1, 2, 3
Let v = 8353 + -8351. Let -24/5*o**v - 3/5 - 12/5*o**3 - 3*o = 0. What is o?
-1, -1/2
Let c(p) be the third derivative of p**6/90 + p**5/30 - p**4/3 + 8*p**3/3 + 3*p**2. Let n(z) be the first derivative of c(z). Let n(m) = 0. Calculate m.
-2, 1
Let m(r) = 2*r**4 - 16*r**3 + 22*r**2 - 2*r + 6. Let o(y) = y**3 - y**2 - y - 1. Let s(a) = -m(a) - 6*o(a). Factor s(j).
-2*j*(j - 2)**2*(j - 1)
Let c(d) = -23*d**2 - 157*d - 254. Let k(a) = -15*a**2 - 105*a - 170. Let t(u) = -5*c(u) + 8*k(u). Suppose t(z) = 0. Calculate z.
-9, -2
Let b be -1 + ((-33)/(-18) + 1)*27. Let d = b - 71. Suppose -15/2*y**2 + 27/2 + 3/2*y**3 + d*y = 0. What is y?
-1, 3
Let o(w) be the second derivative of w**5/10 - 5*w**4/6 + 2*w**3 + 40*w. Let o(m) = 0. What is m?
0, 2, 3
Let k(x) be the first derivative of x**3/18 + 3*x**2/4 + 3*x - 14. Factor k(n).
(n + 3)*(n + 6)/6
Let c = 12 - 13. Let w be 1*(1 + c - -11). Factor 4 + g - 10*g**2 + w*g**2 - 4 - g**3 - g**4.
-g*(g - 1)*(g + 1)**2
Let s(w) = -6*w**4 + 19*w**3 + 18*w**2 - 55*w - 48. Let u(d) = 3*d**4 - 9*d**3 - 9*d**2 + 27*d + 24. Let a(r) = -3*s(r) - 5*u(r). Factor a(y).
3*(y - 4)*(y - 2)*(y + 1)**2
Let h(v) = 4*v**5 - 7*v**4 - 13*v**3 + 7*v**2 + 8*v + 1. Let u(n) = -n**5 + n**4 + n**3 - n**2 + n - 1. Let b(y) = h(y) + u(y). Factor b(k).
3*k*(k - 3)*(k - 1)*(k + 1)**2
Let l(t) be the first derivative of -44*t**5/25 + 71*t**4/5 - 536*t**3/15 + 72*t**2/5 + 288*t/5 + 421. Solve l(r) = 0.
-6/11, 2, 3
Suppose 13*z - 170 + 14 = 0. What is y in -z*y + 17*y**3 + 12 + 15*y**5 + 0