 - 3*b - 4 + 7*b - b**2 - 8.
-(b - 2)**2
Factor -40*b**2 - 3*b - 52 + 59 - 4*b**3 + 33 + 7*b.
-4*(b - 1)*(b + 1)*(b + 10)
Let d(f) be the third derivative of -f**8/23520 + f**7/1764 - f**6/630 + 7*f**4/24 - 15*f**2. Let u(w) be the second derivative of d(w). Factor u(a).
-2*a*(a - 4)*(a - 1)/7
Suppose -2*w - 6*g + g + 21 = 0, 4*w - 9 = g. Let 8*f - 8 - 4*f - 4*f**w + 8*f = 0. Calculate f.
-2, 1
Solve -11358 - 40*r + 85*r**2 - 45*r + 11388 - 35*r**3 + 5*r**4 = 0.
1, 2, 3
Let l(o) = 3*o**2 + 4*o + 5. Let n(m) = m**2 + m + 1. Let g(i) = -l(i) + 4*n(i). Let t(f) = 324*f**3 + 6*f**2 - 14*f + 4. Let s(a) = 3*g(a) + t(a). Factor s(y).
(4*y + 1)*(9*y - 1)**2
Determine i, given that i**2 - 64 + 163 - 81 - 67 = 0.
-7, 7
Let r(o) = 29*o**4 + 28*o**3 + 15*o**2 + 8. Let m(l) = 90*l**4 + 85*l**3 + 45*l**2 + 25. Let c(d) = 8*m(d) - 25*r(d). Factor c(t).
-5*t**2*(t + 1)*(t + 3)
Let w(f) be the first derivative of f**4/2 - 2*f**3/3 + 45. Factor w(c).
2*c**2*(c - 1)
Let r(z) be the third derivative of 0*z**3 - z**2 + 0*z**4 - 1/210*z**7 + 36*z + 1/15*z**5 + 1/224*z**8 - 1/20*z**6 + 0. Solve r(g) = 0.
-2, 0, 2/3, 2
Let -54*n**2 + 50*n**3 + 6 - 4*n**2 + 46 + 76 - 52*n**2 - 32*n = 0. Calculate n.
-1, 8/5
Determine f, given that -8192/5 + 256/5*f - 2/5*f**2 = 0.
64
Let o be (-2)/(112/(-24)) - 11/(-7). Let h(k) be the first derivative of -5*k**3 + 9/5*k**5 - o + 3/2*k**2 + 6*k - 3/4*k**4. Suppose h(z) = 0. Calculate z.
-1, -2/3, 1
Let t(g) be the first derivative of g**3/3 - 3*g**2 - 7*g - 3. Suppose t(l) = 0. Calculate l.
-1, 7
Let i = -834 + 834. Suppose 2/5*g**4 + 0 - 2/5*g**3 - 4/5*g**2 + i*g = 0. What is g?
-1, 0, 2
Suppose 24*f - 11*f - 12*f = 0. Let m(x) be the first derivative of -6 + 3/16*x**4 + 7/2*x**5 - 1/2*x**2 - 5/3*x**3 - 49/24*x**6 + f*x. Factor m(g).
-g*(g - 1)**2*(7*g + 2)**2/4
Suppose -10*y + 24 = 4*d - 15*y, -4*y + 30 = 5*d. Let n(z) be the first derivative of 33/2*z**2 + 5 + d*z + 21*z**3 + 3*z**5 + 51/4*z**4. Factor n(b).
3*(b + 1)**3*(5*b + 2)
Let w(b) = -b**3 - b**2 + 5*b - 3. Let r be w(1). Suppose a = -4*d - r*d, 2*a = 0. Determine l, given that 0*l**2 + 2/9*l + d - 2/9*l**3 = 0.
-1, 0, 1
Let g be (-5)/(10/32)*(-10)/4. Factor -2*u**4 - 5 + 5*u**2 - g*u**3 + 25*u**2 + 17*u**4.
5*(u - 1)**3*(3*u + 1)
Let n be 6/(-27) - (-4)/18. Suppose -330 + 162 = -84*u. Find t such that n - 1/5*t**u - 4/5*t = 0.
-4, 0
Suppose 3*a + 0 = -3, -2*u + a - 1 = 0. Let x be (-6380)/(-65) + 0 + u + -1. Factor 162/13*m**4 + x + 3000/13*m + 1080/13*m**3 + 2700/13*m**2.
2*(3*m + 5)**4/13
Let l(m) be the third derivative of 0 + 1/24*m**4 + 0*m**3 - 19*m**2 + 0*m - 1/30*m**5 + 1/120*m**6. Factor l(p).
p*(p - 1)**2
Let v = -1967 - -3855/2. Let l = 42 + v. Suppose -7/2*y + 1 + l*y**2 = 0. What is y?
2/5, 1
Let c(x) be the third derivative of x**9/60480 - x**7/10080 - x**4/3 - 8*x**2. Let y(v) be the second derivative of c(v). Solve y(k) = 0 for k.
-1, 0, 1
Let z(d) be the second derivative of d**10/7560 - d**9/7560 + 5*d**4/6 - 11*d. Let v(r) be the third derivative of z(r). Factor v(y).
2*y**4*(2*y - 1)
Suppose 1 = 5*i - 19. Factor -3*r**3 - 3*r**4 + r**3 + 0*r**4 + r**i.
-2*r**3*(r + 1)
Suppose 3*v - 16 = -2*g, -7*v - 14 = -10*v - g. Suppose -v*j = -j + 6*j. Factor -d**5 - 9/2*d**3 + 5/2*d**2 - 1/2*d + j + 7/2*d**4.
-d*(d - 1)**3*(2*d - 1)/2
Let v = -1939/2076 - -3/173. Let z = v - -101/84. What is w in 2/7*w**2 - z*w**3 + 0 + 4/7*w = 0?
-1, 0, 2
Let g(n) be the first derivative of 2/3*n**3 - 2 - 3*n + 1/6*n**4 + n**2. Let q(u) be the first derivative of g(u). Factor q(d).
2*(d + 1)**2
Let j(w) be the first derivative of -3*w**5/160 + w**4/16 - 31*w - 8. Let m(s) be the first derivative of j(s). Let m(t) = 0. Calculate t.
0, 2
Solve 390*w**4 + 392*w**4 - 778*w**4 = 0.
0
Let g(i) be the first derivative of i**6/25 - 7*i**5/50 + i**4/6 - i**3/15 + 5*i + 10. Let d(h) be the first derivative of g(h). Factor d(z).
2*z*(z - 1)**2*(3*z - 1)/5
Let h(j) be the first derivative of -j**3/15 + 50. Factor h(w).
-w**2/5
Let d(u) be the first derivative of -u**9/3024 + u**8/840 + u**7/840 - u**6/180 + u**3 + 7. Let z(c) be the third derivative of d(c). Factor z(k).
-k**2*(k - 2)*(k - 1)*(k + 1)
Let s(q) be the first derivative of 7*q**4/6 - 10*q**3/9 - 296*q**2/3 - 56*q + 412. Factor s(b).
2*(b - 7)*(b + 6)*(7*b + 2)/3
Let k(i) be the third derivative of -3*i**6/40 + 49*i**5/20 - 25*i**4/2 + 14*i**3 + 3*i**2 - 5*i. Factor k(s).
-3*(s - 14)*(s - 2)*(3*s - 1)
Find l, given that -10*l**4 - 120 - 8 - 20*l - 22*l + 12*l**4 - 24*l**2 - 86*l + 8*l**3 = 0.
-4, -2, 4
Let 25 + 2231*b - 2395*b + 88*b**2 + 55 - 4*b**3 = 0. Calculate b.
1, 20
Determine k so that 18*k + 9*k**2 + 3/2*k**3 + 12 = 0.
-2
Let z(b) = 2*b**3 + 22*b**2 + 10*b - 34. Let v(w) = -w**3 + w**2 - w + 1. Let n(s) = -2*v(s) + z(s). Factor n(p).
4*(p - 1)*(p + 3)**2
Let z = -412/5 - -1091/15. Let t = 119/12 + z. Factor -1/4*x**4 + 1/2*x**2 - 1/4 - t*x**5 + 1/2*x**3 - 1/4*x.
-(x - 1)**2*(x + 1)**3/4
Let a be 1/3 + 18/(-90) + 6331/780. Factor 0*i**2 + 3/2*i**3 + 0 + 27/4*i**5 + a*i**4 + 0*i.
3*i**3*(i + 1)*(9*i + 2)/4
Let h(q) be the first derivative of q**6/60 + 3*q**5/50 - 2*q**3/15 + 5. Factor h(a).
a**2*(a - 1)*(a + 2)**2/10
Let h be (-48)/(-21)*(-336)/(-1632). Find f, given that 8/17*f + h + 2/17*f**2 = 0.
-2
Let a(i) be the third derivative of -i**6/60 + 163*i**5/5 - 26569*i**4 + 34645976*i**3/3 - 10*i**2 + 11*i. Let a(o) = 0. What is o?
326
Let n(y) be the third derivative of 0 + 0*y**3 - 1/210*y**7 + 0*y**4 - 1/120*y**6 + 17*y**2 + 0*y + 0*y**5. Let n(o) = 0. Calculate o.
-1, 0
Suppose 111 = -4*f + 11. Let y be (-1 - -1) + 0 - 10/f. Factor 0*b + 2/5*b**2 + 0 + y*b**3.
2*b**2*(b + 1)/5
Let x(k) be the second derivative of 0 + 1/27*k**4 - 1/27*k**3 - 2/9*k**2 + 1/90*k**5 + 14*k. Let x(n) = 0. Calculate n.
-2, -1, 1
Let h(w) be the first derivative of -46*w**3/9 - 15*w**2/2 + w/3 - 37. Let h(l) = 0. Calculate l.
-1, 1/46
Let f(l) be the second derivative of -1/12*l**4 + 0 + 0*l**2 + 1/3*l**3 - 1/20*l**5 - 18*l. Factor f(g).
-g*(g - 1)*(g + 2)
Suppose 44*b - 35 = 49*b. Let f be (34/6 + -6)*(1 + b). Solve -2/9*v**3 - 2/9*v**4 + 2/9*v + 0 + 2/9*v**f = 0.
-1, 0, 1
Let g(p) be the first derivative of -162*p**5/55 + 279*p**4/22 - 224*p**3/33 + 12*p**2/11 + 93. Factor g(f).
-2*f*(f - 3)*(9*f - 2)**2/11
Let h(w) = 14*w**2 - 198*w - 12. Let c(i) = -6*i**2 + 79*i + 5. Let m(b) = -12*c(b) - 5*h(b). Factor m(g).
2*g*(g + 21)
Determine s so that 392*s**4 + 218*s**3 - 86*s**3 + 88*s**2 + 31*s + 190*s**3 - 23*s = 0.
-2/7, -1/4, 0
Let a(i) be the first derivative of -5*i**6/6 - 5*i**5 - 5*i**4 - 4. Factor a(x).
-5*x**3*(x + 1)*(x + 4)
Let 4*b**3 + 10*b**2 - 12*b - 26*b**4 + 0*b**4 + 24*b**4 = 0. What is b?
-2, 0, 1, 3
Let b(c) be the first derivative of -c**4/9 + 2*c**2/3 + 11*c + 8. Let z(k) be the first derivative of b(k). Factor z(q).
-4*(q - 1)*(q + 1)/3
Let v(t) be the first derivative of 2*t**5/45 - t**4/6 - 8*t**3/27 - 107. Factor v(l).
2*l**2*(l - 4)*(l + 1)/9
Let u(c) be the second derivative of 6*c + 0 + 49/10*c**2 + 1/60*c**4 + 7/15*c**3. Find y such that u(y) = 0.
-7
Let 2/11*u**4 - 8/11*u**3 - 8/11*u**2 + 2/11*u**5 + 0 + 0*u = 0. Calculate u.
-2, -1, 0, 2
Let c(a) = -9*a**4 - 38*a**3 - 23*a**2 + 8*a - 2. Let s(t) = -46*t**4 - 189*t**3 - 115*t**2 + 39*t - 11. Let h(x) = -22*c(x) + 4*s(x). Solve h(l) = 0.
-5, -1, 0, 2/7
Suppose -5236*m**2 - 4708 + 1408*m**2 - 28870 - 21*m**3 - 16108 - 174993*m = 0. What is m?
-91, -2/7
Let g(m) be the second derivative of m**8/1680 - m**7/630 - m**6/90 + 7*m**4/4 - 19*m. Let c(l) be the third derivative of g(l). Determine b so that c(b) = 0.
-1, 0, 2
Let l(p) be the first derivative of -2*p**3/9 - 26*p**2 - 1014*p + 28. Suppose l(c) = 0. What is c?
-39
Let o(t) be the third derivative of t**7/210 - t**6/60 - 11*t**5/60 + t**4/2 + 6*t**3 + 6*t**2 - 6. Factor o(w).
(w - 3)**2*(w + 2)**2
Factor 5*h**4 - 32 + 40*h**3 + 32 + 24*h**2 + 56*h**2.
5*h**2*(h + 4)**2
Let g = -10595/12 + 883. Let o(z) be the second derivative of g*z**3 + 0*z**6 + 0*z**2 - 1/20*z**5 + 0*z**4 - 10*z + 0 + 1/84*z**7. Factor o(n).
n*(n - 1)**2*(n + 1)**2/2
Find w such that -10/13*w**5 + 6*w**4 + 64/13 - 240/13*w + 344/13*w**2 - 236/13*w**3 = 0.
4/5, 1, 2
Let h(c) = 8*c**2 + 3*c - 2. Let m = 15 - 18. Let p(z) = -7*z**2 - 2*z + 3.