 2/5*b**2 + 2/5*b**4.
2*b*(b - 1)*(b + 1)**2/5
Let l(j) = -3*j - 45. Let f be l(-17). Factor 9*s - f*s**2 - 24 + 22*s - 9*s**3 + 34*s**4 + 5*s - 31*s**4.
3*(s - 2)**2*(s - 1)*(s + 2)
Let q = 268 - 245. Let i be (-2)/(-4)*q/23. Factor -1/4*t**2 + i*t - 1/4.
-(t - 1)**2/4
Let l(h) be the third derivative of h**6/60 + 11*h**5 + 2241*h**4 - 55112*h**3/3 - 2*h**2 + 58*h. Factor l(a).
2*(a - 2)*(a + 166)**2
Let -2244*r - 943645 - 3*r**2 - 108*r + 941296 + 0*r**2 = 0. What is r?
-783, -1
Let n(j) be the first derivative of j**6/30 - 29*j**5/5 + 429*j**4/20 - 427*j**3/15 + 71*j**2/5 + 767. Factor n(h).
h*(h - 142)*(h - 1)**3/5
Let a be (-32 + 1325)/((-2)/(-6)). Let n = a - 65919/17. Factor -n*v - 12/17*v**3 - 2/17*v**4 - 26/17*v**2 - 8/17.
-2*(v + 1)**2*(v + 2)**2/17
Let w = 54 - 51. Suppose -9*g + 21 = w. Factor f**4 - 170*f**2 + 170*f**g - 2*f**3.
f**3*(f - 2)
Let r be -3 - ((-75)/20)/(3/8). Let t(f) = -2*f**2 + 11*f + 26. Let d be t(r). Factor -15*l**4 + 50*l**2 + 2*l**d - 27*l + 45 + 30*l**3 - 7*l**5 - 102*l + 24*l.
-5*(l - 1)**3*(l + 3)**2
Let x(z) be the first derivative of z**3/6 - 457*z**2/2 + 913*z/2 + 6778. Solve x(s) = 0.
1, 913
Suppose -2*i + 32 = 2*d, -12*i + 8*i - 3*d = -66. Let l be ((-6)/(-180)*9)/(i/75). Factor -l*f**2 - 1 - 1/4*f**3 - 2*f.
-(f + 1)*(f + 2)**2/4
Let c(h) be the second derivative of h**4/6 - 533*h**3 - 334*h + 1. Factor c(p).
2*p*(p - 1599)
Let q(c) be the third derivative of 19/3*c**3 + 5*c + 9/5*c**5 - 10*c**2 - 1/105*c**7 - 14/3*c**4 + 0 - 4/15*c**6. Factor q(t).
-2*(t - 1)**3*(t + 19)
Factor -200*u**3 + 272*u**2 - 36*u**2 + 1620*u - 2340 + 5*u**4 - 81*u**2.
5*(u - 39)*(u - 2)**2*(u + 3)
Let o be 18 - 684*16/648. Let m(h) be the third derivative of 19/36*h**4 - o*h**3 + 34*h**2 - 4/45*h**5 - 1/180*h**6 + 0 + 0*h. Suppose m(t) = 0. What is t?
-10, 1
Let y(n) be the second derivative of -n**6/50 - 9*n**5/10 + 33*n**4/5 - 68*n**3/5 - 2*n - 1810. Suppose y(t) = 0. Calculate t.
-34, 0, 2
Determine u, given that -239*u**3 + 0 + 94*u**3 + 20 + 565*u - 440*u**2 = 0.
-4, -1/29, 1
Let y(r) be the second derivative of -39/10*r**3 - 12*r**2 + 1/20*r**4 - 5*r + 3. Factor y(k).
3*(k - 40)*(k + 1)/5
Factor -1/7*q**4 + 362/7*q**3 - 43920/7*q**2 + 259200*q - 3456000/7.
-(q - 120)**3*(q - 2)/7
Let k(f) be the second derivative of -f**4/3 - 458*f**3/3 - 456*f**2 - 1378*f. Factor k(t).
-4*(t + 1)*(t + 228)
Find m such that -1/2*m**2 + 137*m - 272 = 0.
2, 272
Let j(h) be the second derivative of 1/8*h**4 - 16*h + 0 + 1/2*h**3 - 9/4*h**2. Let j(p) = 0. What is p?
-3, 1
Solve 52/5*c**4 - 1/5*c**5 + 108/5*c**3 - 54/5 + 2/5*c**2 - 107/5*c = 0.
-1, 1, 54
What is s in 270 + 5*s**2 - 4*s - 74*s - 26*s + 25*s = 0?
5, 54/5
Let g(b) be the third derivative of b**6/90 + b**5 - 2*b**4/9 - 40*b**3 - 2933*b**2. Factor g(r).
4*(r - 2)*(r + 2)*(r + 45)/3
Let x(t) be the first derivative of 22 - 7/5*t**2 + 16/5*t - 2/15*t**3. Factor x(q).
-2*(q - 1)*(q + 8)/5
Let l be (200 - 203) + (320/70 - (-3)/7). Factor -3/2*r**l + 27/2 + 0*r.
-3*(r - 3)*(r + 3)/2
Let k(n) = -6*n**3 + 105*n**2 + 510*n - 582. Let v(m) = 3*m**3 - 53*m**2 - 255*m + 290. Let x(g) = 5*k(g) + 9*v(g). Factor x(f).
-3*(f - 20)*(f - 1)*(f + 5)
Factor 112/5 - 2/5*q**2 - 52/5*q.
-2*(q - 2)*(q + 28)/5
Let p = 269 + -215. Suppose 0 = -360*z + 387*z - p. Find g such that -4/17*g**4 - 8/17*g**3 + 4/17*g**z + 6/17*g**5 + 0 + 2/17*g = 0.
-1, -1/3, 0, 1
Let a(k) be the second derivative of -15/2*k**3 - 36 - 3*k + 0*k**2 - 5/12*k**4. Determine p so that a(p) = 0.
-9, 0
Let n be (16/(-10) - 0)*-10. Suppose 0 = 3*d - d - n. Solve -d*s**2 - 40*s - 4*s**3 + 74*s - 38*s = 0.
-1, 0
Suppose -625*o + 2051 = 801. Suppose -2/5*n + 1/5*n**o - 3 = 0. What is n?
-3, 5
Let t(k) = 3*k**2 - 12*k + 13. Let z(a) = -5*a**2 + 22*a - 24. Let i(c) = 7*t(c) + 4*z(c). Let i(h) = 0. Calculate h.
-5, 1
Let u(f) be the third derivative of 3*f**7/385 + 107*f**6/55 - 4912*f**5/165 + 948*f**4/11 - 1200*f**3/11 - 2*f**2 + 22*f + 8. Suppose u(x) = 0. Calculate x.
-150, 2/3, 6
Let v(u) be the third derivative of 0*u - 95*u**2 + 0 + 27/4*u**4 - 7/20*u**5 + 8*u**3. Factor v(h).
-3*(h - 8)*(7*h + 2)
Let p = 60 - 59. Let q = 7 - p. Let -8 - 9*g + q*g**2 + 3*g**2 - 10*g**2 = 0. Calculate g.
-8, -1
Let o(l) = 2*l**2 + 727*l - 4429. Let d be o(6). Let m = 308 + -3386/11. Factor -12/11*t**3 + 8/11*t**4 + 8/11*t**2 - 2/11*t + 0 - m*t**d.
-2*t*(t - 1)**4/11
Let j(a) be the third derivative of -a**8/36960 + a**7/1540 - a**6/264 + 7*a**5/12 + 89*a**2. Let f(b) be the third derivative of j(b). Solve f(y) = 0.
1, 5
Let j(f) = f**3 - 9*f**2 + 4*f + 6. Let m(n) = -4*n**3 + 28*n**2 - 10*n - 21. Let g(c) = 7*j(c) + 2*m(c). Solve g(z) = 0.
-8, 0, 1
Suppose 3*y = -2*u + 16, 2*u - 4 - 16 = -5*y. Let c = 12 + -7. Factor 5*k**5 + 2*k**2 + 10*k**3 + c*k**3 + 7*k**4 - 23*k**3 - 6*k**y.
k**2*(k - 1)*(k + 2)*(5*k + 2)
Let i(y) be the third derivative of -10/33*y**3 + 1/660*y**6 - 9*y**2 + 0*y + 1/33*y**5 - 9 - 1/132*y**4. Factor i(g).
2*(g - 1)*(g + 1)*(g + 10)/11
Let m = 15719/30 + -7852/15. Find t, given that -5 + m*t**2 + 9/2*t = 0.
-10, 1
Let f(b) be the second derivative of b**4/30 + 2462*b**3/15 + 1515361*b**2/5 + 2167*b. Factor f(a).
2*(a + 1231)**2/5
Let p(b) be the second derivative of 0*b**2 + 0 - 31*b - 1/24*b**4 - 5/24*b**3. Factor p(x).
-x*(2*x + 5)/4
Let l = -24993 + 25009. Factor -20/3*q - 2/3*q**2 + l.
-2*(q - 2)*(q + 12)/3
Let u(m) be the second derivative of -m**7/28 + 21*m**5/40 + m**4/4 - 3*m**3 - 6*m**2 + 5749*m. Solve u(g) = 0 for g.
-2, -1, 2
Factor 0*l**3 + 67*l**2 - 30*l + 62*l**2 + 2 + 14 + 2*l**3 - 117*l**2.
2*(l - 1)**2*(l + 8)
Factor 3*y**3 - 3*y**4 - 93*y**2 + 0*y**3 + y**3 - 208 - 2704*y + 4*y**4 + 3000*y.
(y - 4)**2*(y - 1)*(y + 13)
Let p = 1/669 + 14047/1338. Let s(w) be the first derivative of 147/2*w - 2 + 1/2*w**3 + p*w**2. Find l such that s(l) = 0.
-7
Let a(p) = p**3 - 2*p**2 - p. Let h(n) = 9*n**4 - 3*n**3 - 11*n**2 - 5*n. Let q(g) = 5*a(g) - h(g). Solve q(d) = 0.
-1/9, 0, 1
Let b(k) be the first derivative of -7*k**4/4 - k**3 + 4794. Find f such that b(f) = 0.
-3/7, 0
Let a(s) = 2*s**3 - 19*s**2 - 17*s + 4. Let m(i) = i**3 - 40*i**2 - 33*i + 8. Let v(w) = 7*a(w) - 3*m(w). Factor v(d).
(d - 2)*(d + 1)*(11*d - 2)
Let n(g) be the third derivative of 31*g**5/3 - 14*g**4 - 64*g**3/3 - 7*g**2 + 89*g + 1. Factor n(q).
4*(5*q - 4)*(31*q + 8)
Let k = 467495 - 467493. Factor -2/15*x**k - 726/5 + 44/5*x.
-2*(x - 33)**2/15
Let h(z) be the first derivative of -z**3/6 - 173*z**2/2 - 29929*z/2 - 1542. Let h(b) = 0. What is b?
-173
Solve -999*t**2 - 776223*t - 201041757 - 3/7*t**3 = 0 for t.
-777
Factor -24/5 + 22/5*y + 2/5*y**2.
2*(y - 1)*(y + 12)/5
Let y(i) = 2*i**2 + 20*i**2 - 7*i - i**3 + 17*i. Let z be y(14). What is u in -1708 - 4*u**4 + z + 4*u**2 = 0?
-1, 0, 1
Suppose -4*t = 2*i - 16, -3*i + 4 + 6 = -t. What is a in 4*a - 1/4*a**t - 16 = 0?
8
Let s(l) = l + 42. Let r be s(-19). Let w be (-1 - r)/((-18)/12). Solve w*x**3 - 40*x - 46*x**2 + 10*x**2 - 1 + 13 + 0 = 0 for x.
-1, 1/4, 3
Let q(r) be the first derivative of 2*r**3/21 - 453*r**2/7 - 908*r/7 - 2396. Factor q(z).
2*(z - 454)*(z + 1)/7
Let r be 3/6*(-2)/4*-8. Factor -15*l**3 + 3*l**5 - 12*l**4 - 5 - 18*l**r + 5 + 18*l**4.
3*l**2*(l - 2)*(l + 1)*(l + 3)
Let w(u) be the second derivative of 0 + 0*u**4 + 1/10*u**5 - 1/3*u**3 - 11*u + 0*u**2. Factor w(c).
2*c*(c - 1)*(c + 1)
Let 1/3*q**2 - 16/3*q + 64/3 = 0. What is q?
8
Let k = 836 - 833. Let a(c) be the second derivative of 1/15*c**k + 0 - 1/75*c**6 - 17*c - 1/10*c**4 + 0*c**2 + 3/50*c**5. Factor a(x).
-2*x*(x - 1)**3/5
Let b(p) = -5*p**4 + 50*p**3 - 230*p**2 + 415*p - 265. Let z(n) = 10*n**4 - 99*n**3 + 461*n**2 - 832*n + 529. Let f(l) = 11*b(l) + 5*z(l). Factor f(d).
-5*(d - 3)**3*(d - 2)
Let b(m) be the second derivative of 1/48*m**4 + 1/10*m**5 + 0*m**2 + 0 + 23*m - 1/3*m**3 - 1/120*m**6. Let b(s) = 0. Calculate s.
-1, 0, 1, 8
Let o = 16913/2 - 33823/4. Factor 13/4*c**3 - 4*c**2 + c + 0 - o*c**4.
-c*(c - 2)**2*(3*c - 1)/4
Solve 22/3*u**2 + 1/6*u**3 + 125/3 - 295/6*u = 0.
-50, 1, 5
Let p(y) be the first derivative of -y**3/18 - 11*y**2/6 - 56*y/3 - 874. Find k such that p(k) = 0.
-14, -8
Let v be -3 - (4/((-8)/94) - -2). Let t = -14 + v. Find c, given that 2*c**2 + 28 - t + 2*c**2 = 0.
0
Factor 1036/5*z + 52 + 9/5*z**