nd derivative of -2*r**6/15 + 24*r**5/5 + r**4/3 - 16*r**3 + r - 52. Factor u(s).
-4*s*(s - 24)*(s - 1)*(s + 1)
Factor 3/4*v**3 + 63/2 + 75/4*v - 12*v**2.
3*(v - 14)*(v - 3)*(v + 1)/4
Let m(w) = 4*w**5 + 12*w**4 - 7*w**3 - 12*w**2 + 3. Let a(f) = -4*f**5 - 12*f**4 + 6*f**3 + 12*f**2 - 2. Let b(s) = -3*a(s) - 2*m(s). Factor b(k).
4*k**2*(k - 1)*(k + 1)*(k + 3)
Let y be (-32)/(9 + -25 - 2). Let u(r) be the third derivative of 4/9*r**4 + 1/315*r**7 + 0*r**5 + 0 - 1/45*r**6 + 0*r - y*r**3 + r**2. Factor u(o).
2*(o - 2)**3*(o + 2)/3
Let h = -5/8 - -7/8. Let z(v) be the first derivative of 1/12*v**3 + 1/8*v**2 - 1/16*v**4 - h*v - 4. Find y such that z(y) = 0.
-1, 1
Let t = -4388 - -4389. What is d in -t - d**2 + 5/2*d = 0?
1/2, 2
Let s be (0 - -2) + 17 + -15. Factor -16*c**3 + c**s - 16*c**2 + 3*c**4 - 8*c**4.
-4*c**2*(c + 2)**2
Let z be (-51)/(-255) - 2/10. Factor -1/3*f**5 + z*f**3 + 0*f**2 + 1/3*f**4 + 0 + 0*f.
-f**4*(f - 1)/3
Suppose -4*r + 57 = 17. Suppose 0 = -13*d + r*d. Factor -5*n**3 - 27 + 2*n**3 + d*n**3 - 11*n**2 - 10*n**2 - 45*n.
-3*(n + 1)*(n + 3)**2
Factor 32/7 - 20/7*g**2 - 24/7*g.
-4*(g + 2)*(5*g - 4)/7
Factor 5*o - 176 - 185 + 13*o + 20*o - o**2.
-(o - 19)**2
Let q(u) be the third derivative of -u**8/1008 - 4*u**7/105 - u**6/18 + 37*u**5/90 + 13*u**4/8 + 23*u**3/9 - 59*u**2 + 2. Suppose q(g) = 0. Calculate g.
-23, -1, 2
Determine f so that 4/3 - 4/3*f**3 + 4/3*f - 4/3*f**2 = 0.
-1, 1
Let m(c) = -c**3 - 41*c**2 + 13*c + 44. Let n(s) = s**2 - 4*s - 2. Let d(i) = -2*m(i) - 6*n(i). Factor d(u).
2*(u - 1)*(u + 1)*(u + 38)
Let q be 444/(-10) - (-3)/(-5). Let l(y) = 7*y**3 - 25*y**2 + 42*y - 20. Let z(c) = 155*c**3 - 550*c**2 + 925*c - 440. Let b(w) = q*l(w) + 2*z(w). Factor b(m).
-5*(m - 2)**2*(m - 1)
Let w be 3/5 - 26*(-6)/36. Let u = -24/5 + w. Factor u*z**2 + 2/15 + 4/15*z.
2*(z + 1)**2/15
Let n(p) be the third derivative of 1/15*p**5 + 0*p - 1/4*p**4 - 2/3*p**3 + 1/20*p**6 + 15*p**2 + 0. Solve n(l) = 0 for l.
-1, -2/3, 1
Let i(x) = 16*x**2 - 17*x + 15. Let l(b) = -9*b**2 + 9*b - 9. Let o(c) = 3*i(c) + 5*l(c). Suppose o(n) = 0. Calculate n.
0, 2
Let t(q) = 16*q + 132. Let m be t(-8). Let z(s) be the first derivative of 4 + 2/15*s**5 - 1/6*s**m - 2/9*s**3 + 0*s + 1/3*s**2. Factor z(b).
2*b*(b - 1)**2*(b + 1)/3
Let i(c) be the second derivative of 2*c**6/75 - 236*c**5/25 + 13924*c**4/15 + 61*c + 1. Suppose i(a) = 0. Calculate a.
0, 118
Suppose 0 = 5*h - 2*l - 5, -13*h + 15*h - 3*l = -9. Determine w so that 0 + 0*w**h + 2/9*w**2 + 0*w - 2/9*w**4 = 0.
-1, 0, 1
Let a(c) be the third derivative of -c**6/600 + c**5/50 - c**4/15 + c**2 - 28*c. Factor a(z).
-z*(z - 4)*(z - 2)/5
Suppose 12*f = f + 33. Let k be ((-10)/(-2))/((-1)/(-1)). Factor -3*u**5 + 3*u**5 + f*u - 6*u**3 + 0*u**k + 3*u**5.
3*u*(u - 1)**2*(u + 1)**2
Let u(y) = 20*y**3 - 44*y**2 - 4. Let i = 27 - 13. Let x(k) = -k**2 + k**3 - 4*k**2 - 4*k**2 - 1 + 3*k**3. Let b(p) = i*x(p) - 3*u(p). Factor b(h).
-2*(h - 1)**2*(2*h + 1)
Let l be 164/42 - 16/(-168). Factor -o - 3*o**3 - o**l + 0*o**3 + 141*o**2 - 144*o**2.
-o*(o + 1)**3
Suppose 7 + 7 = 7*z. Factor p**z + 3 + 19*p - 4*p + 0*p - 11*p.
(p + 1)*(p + 3)
Let v = 9 - 2. Factor 6*r - r**2 - v*r**2 - 3 + 5*r**2.
-3*(r - 1)**2
Suppose 28*p - 14*p - 42 = 0. Let s(t) be the first derivative of 1/3*t**p + 5 + 0*t + 1/2*t**2. Factor s(g).
g*(g + 1)
Let k(x) be the third derivative of -2*x**7/105 + 18*x**5/5 + 36*x**4 + 162*x**3 - 15*x**2. Let k(u) = 0. Calculate u.
-3, 9
Let x(t) = -123*t + 741. Let q be x(6). Find d, given that 3/5*d**2 - 1/5 + 0*d - 2/5*d**q = 0.
-1/2, 1
Let q(x) be the second derivative of 0 - 3/4*x**3 + 0*x**2 - 1/8*x**4 + 25*x. Factor q(o).
-3*o*(o + 3)/2
Let c(f) be the first derivative of -f**4/12 - f**3/18 + f**2/4 + 48. Factor c(b).
-b*(b - 1)*(2*b + 3)/6
Let a(x) be the first derivative of -x**4/20 + x**2/10 - 21. Find z, given that a(z) = 0.
-1, 0, 1
Let v(b) be the third derivative of 2/105*b**7 - 1/15*b**6 + 1/84*b**8 + 0*b**4 + 0*b**5 + 0*b + 18*b**2 + 0 + 0*b**3. Find t, given that v(t) = 0.
-2, 0, 1
Let p = 679/520 - 11/104. Factor p*u**4 + 0*u**2 + 24/5*u - 18/5*u**3 + 0.
6*u*(u - 2)**2*(u + 1)/5
Let a(y) be the first derivative of -y**3/9 + y/3 - 149. Find z such that a(z) = 0.
-1, 1
Let h = 384/7 - 1899/35. Let l(g) be the first derivative of -1/10*g**4 - 18/5*g - 2 - h*g**2 + 2/3*g**3. Determine t so that l(t) = 0.
-1, 3
Let z(x) be the first derivative of 0*x + 1/15*x**6 - 1/10*x**4 + 0*x**3 + 0*x**2 + 22 + 0*x**5. What is w in z(w) = 0?
-1, 0, 1
Let i = 29 + -24. Suppose i*d = 3*j - 5, 2*j = -0*d + 5*d. Factor 8*z**d - 11*z**2 + 4*z**2 - 3*z.
z*(z - 3)
Let d(j) be the third derivative of 0*j**5 + 0*j**4 + 0 + 1/40*j**6 - 1/112*j**8 + 0*j**7 + 0*j + 0*j**3 - 4*j**2. Suppose d(i) = 0. Calculate i.
-1, 0, 1
Let i(u) be the first derivative of -5*u**4/4 - 50*u**3/3 + 115*u**2/2 - 60*u + 48. Factor i(k).
-5*(k - 1)**2*(k + 12)
Factor -761 - 19*l**3 + 7295 - 2871*l - 192*l**2 + 16*l**3.
-3*(l - 2)*(l + 33)**2
Let l(g) = -g**3 + 15*g**2 - 87*g + 151. Let t(i) = -3*i**3 + 44*i**2 - 259*i + 455. Let r(x) = 7*l(x) - 2*t(x). Factor r(z).
-(z - 7)**2*(z - 3)
Suppose 0 = -2*h - 2*h + 20. Let t = h + 0. Factor -2*f**2 + 0*f**2 + t*f**2.
3*f**2
Factor -419 - 8*y**2 - 418 + 1257 + 12*y**3 - 4*y**4 - 420.
-4*y**2*(y - 2)*(y - 1)
Let z be (-48)/(-9) + (-300)/360. Solve -z + 3*w - 1/2*w**2 = 0 for w.
3
Factor 110/3*r**3 + 0*r + 0 - 4/3*r**4 + 56/3*r**2.
-2*r**2*(r - 28)*(2*r + 1)/3
Solve 3*s**3 + 264*s**4 + 59*s**5 + 61*s**5 + 3 - 21*s**3 + 99*s**3 - 9*s + 24*s**5 - 51*s**2 = 0 for s.
-1, -1/3, 1/4
Let r(h) be the second derivative of -h**4/84 - 31*h**3/42 - 29*h**2/7 + 39*h. Solve r(k) = 0.
-29, -2
Suppose 21*h - 24*h - 18 = 0. Let z be ((h/20)/(-3))/((-88)/(-330)). Let -3/2 - 3/2*q - z*q**2 = 0. What is q?
-2
Let k(u) be the third derivative of u**8/1092 + u**7/105 - 3*u**6/260 - u**5/30 + 7*u**4/156 - u**2 + 20. Find x such that k(x) = 0.
-7, -1, 0, 1/2, 1
Determine n, given that 0 - 3/5*n**2 + 3*n = 0.
0, 5
Find b such that -128/7 - 4*b**3 - 66/7*b**2 - 2/7*b**4 + 32*b = 0.
-8, 1
Let q(k) be the third derivative of 1/18*k**4 - 4/9*k**3 + 22*k**2 - 1/360*k**5 + 0 + 0*k. Solve q(t) = 0.
4
Let t = -22385 + 22389. Solve -4/5*x**3 + 0*x**2 - 14/5*x**t + 0 + 0*x = 0 for x.
-2/7, 0
Let g(y) be the first derivative of -y**5/480 + 3*y**3/16 + 10*y**2 + 20. Let x(d) be the second derivative of g(d). Factor x(j).
-(j - 3)*(j + 3)/8
Let b(n) = n**3 - 6*n**2 - 7*n. Let s be b(7). Let k be 6/(-3) + s - 30/(-9). Solve 0 - k*u**2 - 10/3*u**3 + 0*u = 0 for u.
-2/5, 0
Suppose -38/7*r + 6/7*r**3 + 0 - 16*r**2 = 0. What is r?
-1/3, 0, 19
Let o(y) be the second derivative of y**5/100 + y**4/6 - y**3/30 - y**2 - 257*y. Factor o(n).
(n - 1)*(n + 1)*(n + 10)/5
Let j(f) = -3*f**2 - 3*f + 4. Let c(a) = -3*a**2 - 3*a + 3. Suppose 3*l = 7*l - 12. Let w(t) = l*j(t) - 2*c(t). Suppose w(m) = 0. What is m?
-2, 1
Factor 1/2 - 7/8*l**3 - 9/8*l**2 + 3/2*l.
-(l - 1)*(l + 2)*(7*l + 2)/8
Suppose 2*m = 5*m - 36. Factor 22*b**2 - 10 - m*b**2 - 15*b + 25*b**3 - 10*b.
5*(b - 1)*(b + 1)*(5*b + 2)
Let s(c) be the first derivative of 2/5*c**5 + 12 + 2/3*c**3 + c**4 + 0*c + 0*c**2. Factor s(z).
2*z**2*(z + 1)**2
Let p(g) be the third derivative of -g**7/210 + 5*g**6/4 - 5473*g**5/60 - 475*g**4 - 2888*g**3/3 - 588*g**2. Factor p(o).
-(o - 76)**2*(o + 1)**2
Suppose 2*b + 9 + 3 = 0. Let p(m) = m**3 + 6*m**2 - m - 2. Let a be p(b). Factor 3*j**4 + 2 + 29*j**2 + 6*j**a - 10*j**3 + 37*j**3 + 13*j.
(j + 1)**2*(3*j + 1)*(3*j + 2)
Let n(p) be the third derivative of 0*p**4 - 14*p**2 + 1/225*p**5 + 0*p + 0*p**3 + 0 + 1/900*p**6. Factor n(h).
2*h**2*(h + 2)/15
Factor 5/6*x**2 + 11045/6 + 235/3*x.
5*(x + 47)**2/6
Let l = 6 - -1. Suppose -l*c + 32 = -3*c. Solve 2*r + 4*r**2 - 3*r - 3*r - 4 + c*r**3 - 4*r**5 - 4*r**4 + 4*r**2 = 0 for r.
-1, 1
Let l be 30*7/((-140)/(-16)). Let c(m) = 9*m**5 - 7*m**4 - m**3 - m**2 - 8*m. Let h(w) = -w**5 + w**4 + w. Let g(b) = l*h(b) + 3*c(b). Factor g(x).
3*x**2*(x - 1)*(x + 1)**2
Let j = -151 - -148. Let p be 30/7 + -1 + j. Factor 0 + 2/7*h**2 - 2/7*h + 2/7*h**3 - p*h**4.
-2*h*(h - 1)**2*(h + 1)/7
Let h(m) = -525*m**3 + 640*m**2 - 211*m + 37. Let t(o) = 262*o**3 - 320*o**2 + 106*o - 18. Let s(d) = -6*h(d) - 13*t(d). Factor s(x).
-4*(4*x - 