- 5/12*a**4 - 25/6*a**3 + 0*a**2 + 0. Factor d(y).
-5*y*(y + 5)
Let k be 7/(-2) - 749/(-210). Let t(j) be the third derivative of 0*j - 1/150*j**5 + 1/30*j**4 - k*j**3 + 0 + j**2. Solve t(h) = 0 for h.
1
Let o(g) be the third derivative of 5/6*g**3 + 0 - 1/42*g**7 + 1/12*g**6 - 5/12*g**4 + 0*g - 27*g**2 + 0*g**5. Factor o(f).
-5*(f - 1)**3*(f + 1)
Let l = 3421/60 - 57. Let h(g) be the third derivative of 0*g - 1/525*g**7 + 1/840*g**8 + 0 + 1/75*g**5 - 1/150*g**6 - 7*g**2 - 1/15*g**3 + l*g**4. Factor h(q).
2*(q - 1)**3*(q + 1)**2/5
Suppose -9*t = -2*x - 7*t - 30, 3*x + t + 45 = 0. Let q be (-6)/x*(6 - 4). Factor -q*y + 4/5 + 1/5*y**2.
(y - 2)**2/5
Let s = -12 - -4. Let t be -6 - (-2)/1 - s. Factor -2*q**2 + 7*q - q**2 - t*q.
-3*q*(q - 1)
Let y(s) be the first derivative of -5*s**6/6 + 20*s**5 - 265*s**4/4 - 2290*s**3/3 - 1680*s**2 - 1440*s - 54. Find o such that y(o) = 0.
-2, -1, 12
Let b(q) be the second derivative of q**5/45 + 19*q**4/27 + 70*q**3/27 + 34*q**2/9 - 2*q + 39. Factor b(n).
4*(n + 1)**2*(n + 17)/9
Solve -w**4 + 0 - 7/4*w**3 + 1/2*w**2 + 0*w = 0.
-2, 0, 1/4
Let t(c) = -c**2 - c - 4. Let h(k) = -k**2 - 2*k - 5. Suppose 0 = -p - 5*r - 19, r - 5 = 2*r. Let z(y) = p*h(y) - 5*t(y). Factor z(b).
-(b + 2)*(b + 5)
Let -2*l**2 + 12/7*l + 0 + 2/7*l**3 = 0. Calculate l.
0, 1, 6
Suppose 0 = n - 14 - 7. Factor 8*k - 14*k - 12*k + 6 + 3*k - n*k**2.
-3*(k + 1)*(7*k - 2)
Let m(f) be the third derivative of f**8/336 + 3*f**7/35 + 4*f**6/5 + 32*f**5/15 - 715*f**2. Factor m(n).
n**2*(n + 2)*(n + 8)**2
Let q(r) = 7*r**2 - 9*r - 40. Let t(y) = 19*y**2 - 28*y - 119. Let s(n) = 11*q(n) - 4*t(n). Solve s(c) = 0 for c.
-9, -4
Suppose b - 4 + 7 = 0. Let z(a) = -7*a**2 - 3*a. Let g(c) be the second derivative of -c**4/2 - c**3/2 + 2*c. Let u(y) = b*z(y) + 4*g(y). What is t in u(t) = 0?
-1, 0
Let a(o) be the third derivative of 0*o**3 - 24*o**2 + 0*o + 1/360*o**6 + 1/18*o**4 + 1/45*o**5 + 0. Determine r so that a(r) = 0.
-2, 0
Suppose 15 = 3*i - 6*b, 42*b = -3*i + 39*b + 15. Let x(y) be the third derivative of 0 - 1/120*y**6 + 0*y**3 - 1/24*y**4 + 0*y + y**2 + 1/30*y**i. Factor x(c).
-c*(c - 1)**2
Let v(h) be the first derivative of -3*h**4/4 - 7*h**3/3 - 7*h**2/2 + 7*h + 16. Let w(r) = -2*r**3 - 3*r**2 - 3*r + 3. Let n(g) = 3*v(g) - 7*w(g). Factor n(y).
5*y**3
Let u be -1*2*8/(-8) + 1. Suppose -2 = -u*j + 4. Suppose 0*h - 1/5*h**j + 0 = 0. Calculate h.
0
Let u(s) = 1085*s + 2173. Let v be u(-2). Factor 5/3*q + 0*q**2 - 5/6*q**4 - 5/3*q**v + 5/6.
-5*(q - 1)*(q + 1)**3/6
Let y(l) be the second derivative of -l**10/60480 + l**8/13440 + 13*l**4/12 + 12*l. Let i(u) be the third derivative of y(u). Factor i(c).
-c**3*(c - 1)*(c + 1)/2
Let y(t) be the first derivative of -t**6/120 + 3*t**5/40 - t**4/4 + 13*t**3/3 - 4. Let j(u) be the third derivative of y(u). Factor j(i).
-3*(i - 2)*(i - 1)
Suppose 12 = 3*b - 0*b. Let o(g) be the first derivative of 48*g - 1 + g**3 + b - 12*g**2 + 5 + 0*g**2. Factor o(i).
3*(i - 4)**2
Let h(b) = -2. Let p(s) = -4*s**2 + 536*s - 17950. Let o(f) = 3*h(f) + p(f). Factor o(j).
-4*(j - 67)**2
Let p = -18999/40 + 475. Let k(v) be the third derivative of 1/8*v**4 + 1/10*v**5 - 5*v**2 - p*v**6 - v**3 + 0*v + 0. Factor k(b).
-3*(b - 2)*(b - 1)*(b + 1)
Let y(o) be the second derivative of 0 - 1/12*o**3 + 2*o + 3/32*o**4 + 3/2*o**2 - 7/240*o**5. Let i(q) be the first derivative of y(q). Solve i(p) = 0 for p.
2/7, 1
Let g(u) be the first derivative of -1/2*u**2 + 1/2*u - 5 - 7/6*u**3 - 1/2*u**4. Factor g(p).
-(p + 1)**2*(4*p - 1)/2
Let t = -521 - -781. Let n be (-30)/t*-2*2/3. Let 0 + 2/13*c**3 + n*c + 6/13*c**2 - 6/13*c**4 - 4/13*c**5 = 0. Calculate c.
-1, -1/2, 0, 1
Let u(z) be the first derivative of 0*z**2 - 1/12*z**4 + 9 + 0*z + 1/60*z**5 + 0*z**3. Let u(o) = 0. Calculate o.
0, 4
Solve -429/2*a - 69/2*a**2 - 363/2 - 3/2*a**3 = 0 for a.
-11, -1
Let v = 6363/12718 + -2/6359. Find b such that -v*b**2 - 5/4*b**3 + 0*b + 0 = 0.
-2/5, 0
Let a(y) = -33*y**3 + 467*y**2 - 552*y + 120. Let d(w) = 560*w**3 - 7940*w**2 + 9385*w - 2040. Let x(o) = -35*a(o) - 2*d(o). Solve x(j) = 0.
2/7, 1, 12
Let v(t) be the third derivative of -t**8/504 - t**7/9 - 161*t**6/90 - 127*t**5/45 + 323*t**4/36 + 289*t**3/9 - 106*t**2 - 2*t. Let v(m) = 0. Calculate m.
-17, -1, 1
Suppose 5*t - 9 = 1. Suppose -3 = g, 4*b - g - 9 = b. Suppose -h**5 + h**3 + 2*h**4 + h**b - t*h**2 - h**2 = 0. Calculate h.
-1, 0, 1, 2
Let a(v) be the third derivative of v**6/60 - 7*v**5/30 - v**4/12 + 7*v**3/3 - 103*v**2. Factor a(o).
2*(o - 7)*(o - 1)*(o + 1)
Let o = 3633 + -25429/7. Solve o*d + 2/7*d**5 - 4/7*d**3 + 6/7 - 12/7*d**2 + 6/7*d**4 = 0 for d.
-3, -1, 1
Suppose 48 = 5*u - 4*n, 5*n - 18 = -3*u - 4. Factor 20 + u*y**2 - 20 - 6*y**4 + 2*y**5.
2*y**2*(y - 2)**2*(y + 1)
Let a = 49249/27 - 1824. Let x(t) be the second derivative of 0 + 3*t + 0*t**2 + 0*t**3 - a*t**4 + 1/30*t**5. Factor x(u).
2*u**2*(3*u - 2)/9
Let v be 231/165 - (126/(-35))/6. Factor 1/5*o**4 + 0 + 0*o - 2/5*o**v + 1/5*o**3.
o**2*(o - 1)*(o + 2)/5
Let b(i) = i**3 - 557*i**2 + 8083*i + 8657. Let j(f) = -f**3 + 371*f**2 - 5389*f - 5771. Let z(w) = 5*b(w) + 8*j(w). Factor z(g).
-3*(g - 31)**2*(g + 1)
Let f(d) be the first derivative of d**3/24 - 35*d**2/16 - 37*d/4 + 93. Solve f(r) = 0 for r.
-2, 37
Let o(c) be the second derivative of -15*c**7/14 - 17*c**6/2 - 11*c**5/2 + 115*c**4/6 + 155*c**3/6 + 25*c**2/2 + 86*c. Let o(g) = 0. Calculate g.
-5, -1, -1/3, 1
Suppose 31 + 79 = 5*m. Determine i so that -m - 2*i - 78*i**2 + 1 + 47*i + 3*i**3 + 51*i**2 = 0.
1, 7
Let p(k) be the first derivative of -k**4/14 - 16*k**3/7 - 165*k**2/7 - 484*k/7 + 94. Factor p(u).
-2*(u + 2)*(u + 11)**2/7
Let x(u) be the second derivative of 16*u + 8/15*u**6 + 0*u**3 + 0 + 7/5*u**5 - 8/21*u**7 + 0*u**2 + 2/3*u**4. Factor x(a).
-4*a**2*(a - 2)*(2*a + 1)**2
What is m in -2/3*m**3 + 0*m + 0 - 40/3*m**2 = 0?
-20, 0
Let x be (-1)/((-2 - 6)/16). Let 0*b**x + 2/17*b - 2/17*b**3 + 0 = 0. What is b?
-1, 0, 1
Let m(s) = -s**2 + 47*s - 132. Let n be m(44). Let u(v) be the third derivative of 0 + n*v + 0*v**3 + 9*v**2 + 0*v**4 - 1/80*v**5. Factor u(r).
-3*r**2/4
Let k(b) be the second derivative of b**9/15120 - b**8/8400 - b**7/4200 + b**6/1800 - 13*b**3/3 - 5*b. Let m(i) be the second derivative of k(i). Factor m(p).
p**2*(p - 1)**2*(p + 1)/5
Let b(l) be the second derivative of -1/32*l**4 + 0 + 39*l - 1/16*l**3 + 0*l**2. Let b(z) = 0. What is z?
-1, 0
Let u(y) be the third derivative of 2*y**7/105 - y**6/5 + 3*y**5/5 + 3*y**2 + 4. Factor u(x).
4*x**2*(x - 3)**2
Factor -7/2*r**3 - 3 + 5/2*r**2 + 1/2*r**4 + 7/2*r.
(r - 6)*(r - 1)**2*(r + 1)/2
Let l(a) = 2*a**2 - 6*a + 4. Let x be l(4). Let h be x/4 - (4 - 5). Factor -2*m**3 + 3*m**4 + 0*m**h - m**5 + 6*m**5.
m**3*(m + 1)*(5*m - 2)
Find y, given that 94*y**2 - 45*y**3 + 30*y**2 + 11*y**2 - 195*y + 10*y**2 + 5*y**4 + 90 = 0.
1, 2, 3
Let o(f) = -148*f + 296. Let a be o(2). Factor 14/5*b**2 + 0 + a*b + 2/5*b**3.
2*b**2*(b + 7)/5
Factor -350*j**3 - 135*j**2 + 173*j**3 + 312*j**3 + 5*j**5 - 45*j**4.
5*j**2*(j - 3)**3
Let c(g) = -3*g + 26. Let l be c(8). Factor -13*u - 2*u**3 + 8 - 10*u**l - 3*u - 16.
-2*(u + 1)*(u + 2)**2
Let k(s) = 3*s**3 - 9*s**2 + 5*s + 21. Let m(t) = -10*t**3 + 28*t**2 - 17*t - 66. Let q(z) = 13*k(z) + 4*m(z). Factor q(l).
-(l - 1)*(l + 3)**2
Let t(x) = x + 3. Let v be t(0). Let m be (56/264 - 6/11)*(0 - 0). Solve 3/2*a**2 + 0 + m*a - 3/2*a**v = 0 for a.
0, 1
Let i(m) be the first derivative of -3*m**5/5 - 6*m**4 - 9*m**3 + 27*m**2 + 158. Factor i(x).
-3*x*(x - 1)*(x + 3)*(x + 6)
Let f(c) = 13*c**2 + 333*c - 130. Let z be f(-26). Factor z + 0*y - 2/9*y**2 - 1/9*y**3.
-y**2*(y + 2)/9
Let m(f) be the first derivative of -3*f**5/20 - 9*f**4/16 + 3*f**3/2 + 3*f**2 + 13. Determine u, given that m(u) = 0.
-4, -1, 0, 2
Let f(u) be the first derivative of -u**5/60 - u**4/36 - 8*u + 9. Let a(l) be the first derivative of f(l). Suppose a(c) = 0. What is c?
-1, 0
Let r(s) be the first derivative of 3*s**2 - 1/3*s**3 - 9 - 9*s. Determine o so that r(o) = 0.
3
Let c(u) be the third derivative of 1/90*u**5 + 0*u**3 - 1/315*u**7 - 10*u**2 + 0 + 0*u - 1/60*u**6 + 1/12*u**4. Let c(o) = 0. What is o?
-3, -1, 0, 1
Let t(i) be the first derivative of i**3/3 + 3*i**2/2 - 2*i - 29. Let p(k) = 9*k**2 + 26*k - 17. Le