or 1/2 - 2*w**3 + 3*w**2 + 1/2*w**4 - 2*w.
(w - 1)**4/2
Let x(q) be the first derivative of 4*q**3/3 + 22*q**2 - 48*q + 74. Factor x(k).
4*(k - 1)*(k + 12)
Let q(d) be the second derivative of 0 + 1/20*d**4 - 11*d - 2/5*d**2 + 1/25*d**5 - 2/15*d**3 + 1/150*d**6. Factor q(x).
(x - 1)*(x + 1)*(x + 2)**2/5
Let c be -10 + (-124)/(-12) - (-1)/(-3). Let j be 2/10*(-10)/(-6). Let -1/3*v**2 + 1/3*v**3 + c*v + 1/3*v**4 + 0 - j*v**5 = 0. Calculate v.
-1, 0, 1
Suppose -651 = 8*b - 683. Let j(k) be the second derivative of 8/27*k**3 + 1/90*k**5 + 0 + 4/9*k**2 + b*k + 5/54*k**4. Factor j(f).
2*(f + 1)*(f + 2)**2/9
Suppose -5*b = 4*a - 31, 16 = 3*b + 2*a - 3. Let n(p) = -p**2 + 8*p - 3. Let m be n(b). Find w such that 1 + w**4 - 3 + 4*w**2 - 4*w**4 + w**m = 0.
-1, 1
Let a(t) be the third derivative of t**5/140 - 43*t**4/14 + 873*t**2. Solve a(d) = 0.
0, 172
Let h(p) be the first derivative of p**9/18144 - p**7/2520 + p**5/720 + 7*p**3/3 - 3. Let r(g) be the third derivative of h(g). Find v, given that r(v) = 0.
-1, 0, 1
Factor 3/4*b + 1/4*b**2 - 9/2.
(b - 3)*(b + 6)/4
Let f(y) be the third derivative of 0*y + 1/21*y**3 + 0*y**5 - 1/735*y**7 + 23*y**2 - 1/42*y**4 + 0 + 1/210*y**6. Suppose f(x) = 0. What is x?
-1, 1
Let l(n) = -n**3 + 6*n**2 - 4*n - 2. Let i be l(5). Suppose 2 = 4*u - i*u. Determine z, given that 5*z + 1 + 3*z**3 + 10*z - 12*z**u - 7 = 0.
1, 2
Let y(b) = -b**3 - 7*b**2 - 7*b + 3. Let c be y(-6). Factor -16*s**3 + 4*s**3 + 9*s + 6 + c*s**3 + 0*s.
-3*(s - 2)*(s + 1)**2
Let q = 42048 + -42044. Find n such that -1/2*n**q + 3 - 13/2*n + 7/2*n**2 + 1/2*n**3 = 0.
-3, 1, 2
Let z(n) = 162*n + 3. Let v be z(1). Let 13*j - 167*j**3 - 3*j + 2*j**2 + 6 + v*j**3 = 0. What is j?
-1, 3
Let m(x) = -5*x**3 - 30*x**2 - 30*x - 10. Let s(h) = 7*h**3 + 45*h**2 + 45*h + 15. Let r = -20 - -25. Let w(g) = r*s(g) + 8*m(g). Suppose w(u) = 0. Calculate u.
-1
Let b(z) be the first derivative of z**6/8 - 7*z**5/20 + 5*z**4/16 - z**3/12 + 79. Suppose b(l) = 0. What is l?
0, 1/3, 1
Let c(h) = -6*h**3 + 47*h**2 + 5*h - 12. Let x be c(8). Let j be (-2)/(-12)*x/8*-4. Factor 8/3*k - 4/3*k**j - 2/3*k**4 - 8/3 + 2*k**2.
-2*(k - 1)**2*(k + 2)**2/3
Suppose -24/17 + 2/17*w**2 + 2/17*w = 0. Calculate w.
-4, 3
Factor -57*j - 10 + 18 + 24 - 2 + 21*j**2.
3*(j - 2)*(7*j - 5)
Let h(x) be the second derivative of -x**6/225 - 4*x**5/25 - 92*x**4/45 - 32*x**3/3 - 80*x**2/3 - 3*x + 13. Factor h(p).
-2*(p + 2)**2*(p + 10)**2/15
Let w(g) be the first derivative of 2/5*g**2 - 3/20*g**4 + 0*g - 1/60*g**6 + 2/15*g**3 - 20 - 1/10*g**5. Factor w(v).
-v*(v - 1)*(v + 2)**3/10
Let f(w) be the third derivative of w**8/20160 + w**5/6 + w**4/24 + w**2 - 5. Let c(a) be the third derivative of f(a). Suppose c(s) = 0. Calculate s.
0
Let x(m) be the third derivative of m**6/540 - m**5/18 - 2*m**4/3 - 76*m**3/27 - 46*m**2. Factor x(o).
2*(o - 19)*(o + 2)**2/9
Let l = 221/820 + -4/205. Find u such that 0 + 1/8*u**2 + l*u**3 + 0*u + 1/8*u**4 = 0.
-1, 0
Determine k so that 1796*k**3 - 2*k**5 - 1780*k**3 - 14*k**5 - 4*k**4 + 4*k**2 = 0.
-1, -1/4, 0, 1
Solve -72 + 7*m**5 + 58*m**2 - 2*m**2 - 80*m - 24 - 8*m**4 - 11*m**5 + 36*m**3 = 0.
-3, -2, -1, 2
Suppose 0 = 56*g + 15*g - 95 - 118. Factor -2/5*j**g - 26/5*j + 12/5 + 16/5*j**2.
-2*(j - 6)*(j - 1)**2/5
Let u be (-3)/(-1)*6/9. Let w(r) be the second derivative of -2/15*r**6 + 0*r**u - 1/5*r**5 + 0*r**4 + 10*r + 0*r**3 + 0. What is q in w(q) = 0?
-1, 0
Let f = 1895/14 + -269/2. Let 2/7*c**2 + f*c + 4/7 = 0. What is c?
-2, -1
Let r(x) be the third derivative of 39*x**2 + 0 - 7/6*x**4 + 0*x + 0*x**3 - 1/30*x**5. Determine w, given that r(w) = 0.
-14, 0
Let q = -2/9005 - -45033/36020. Factor 0 - 1/2*j**2 + 0*j - 1/4*j**5 - q*j**3 - j**4.
-j**2*(j + 1)**2*(j + 2)/4
Suppose -2/9*p**2 - 20/9*p - 50/9 = 0. Calculate p.
-5
Find n, given that 2/7*n**3 + 0 + 0*n**4 + 0*n - 2/7*n**5 + 0*n**2 = 0.
-1, 0, 1
Let z = 8 + -16. Let h be 10/4 + z/16. Suppose 2*i**2 - 9 + 3 - 4*i - i**2 + i**h = 0. What is i?
-1, 3
Let n(w) be the first derivative of -1/60*w**4 + 7*w + 1/10*w**2 + 1/6*w**3 - 1/20*w**5 - 1. Let j(x) be the first derivative of n(x). Factor j(u).
-(u - 1)*(u + 1)*(5*u + 1)/5
Let l(h) be the second derivative of -h**5/15 - 2*h**4/3 - 8*h**3/3 - 9*h**2 - 8*h. Let t(s) be the first derivative of l(s). Factor t(a).
-4*(a + 2)**2
Factor x**3 + 0 + 2/7*x**4 - 3/7*x + 2/7*x**2.
x*(x + 1)*(x + 3)*(2*x - 1)/7
Suppose 25*i**2 + 31*i**2 - 55*i**2 - i = 0. Calculate i.
0, 1
Let s(u) = -3*u**2 + 19*u - 3. Let x be s(6). Factor -2*b**2 + 2 + b**2 - 5*b**2 - b**4 + 5*b**2 + x*b - 3*b**3.
-(b - 1)*(b + 1)**2*(b + 2)
Let j be (14/(-735)*5)/(2/(-14)). Let m(s) = 3*s - 4. Let n be m(3). Factor j*a**2 + 0*a**3 + 1/3*a**n - 2/3*a**4 - 1/3*a + 0.
a*(a - 1)**3*(a + 1)/3
Let a(o) = -108*o**3 + 3*o**2 - 2*o. Let k be a(1). Let m = k + 110. Factor -2/5*h**4 + 0*h + 0 + 4/5*h**m - 2/5*h**2.
-2*h**2*(h - 1)**2/5
Let l(u) be the second derivative of 0 + 5/4*u**4 + 1/6*u**6 + 45*u + 5/6*u**3 + 0*u**2 + 3/4*u**5. Solve l(v) = 0 for v.
-1, 0
Let s be (-84)/20 + (0 - -12). Find z, given that s*z**3 - 36/5*z**4 - 18/5*z**2 + 12/5*z**5 + 0 + 3/5*z = 0.
0, 1/2, 1
Let m be (4 + (-52)/8)/(-2 + 1). Solve -m*o**2 + 0 + 1/3*o - 17/6*o**3 = 0 for o.
-1, 0, 2/17
Suppose 0 = -54*o + 19*o. Let w(t) be the second derivative of 3/10*t**6 + 1/14*t**7 + 0*t**2 - 4*t + 1/4*t**4 + 0*t**3 + o + 9/20*t**5. Factor w(s).
3*s**2*(s + 1)**3
Let y(d) be the second derivative of 2*d**7/21 - 4*d**6/3 + 29*d**5/5 - 8*d**4/3 - 32*d**3 + 264*d. Factor y(v).
4*v*(v - 4)**2*(v - 3)*(v + 1)
Suppose 2*i = 3*i - 9. Let q = -5 + i. Let -o**3 + 5*o**3 + 12*o**2 + o**q + 2*o**3 + 8*o = 0. Calculate o.
-2, 0
Let d(y) = 5*y**5 + 5*y**4 - 16*y**3 + 6*y**2 + 11*y - 11. Let s(w) = -2*w**5 - 2*w**4 + 6*w**3 - 2*w**2 - 4*w + 4. Let f(c) = -4*d(c) - 11*s(c). Factor f(h).
2*h**2*(h - 1)*(h + 1)**2
Let x = -22 + 24. Factor 2*p**3 + 4 + 12*p**x + 6 + 14*p + 10*p + 6.
2*(p + 2)**3
Let r(z) be the first derivative of -2*z**6/3 - 22*z**5/15 + 22*z**4/3 - 62*z**3/9 + 4*z**2/3 + 176. Solve r(a) = 0 for a.
-4, 0, 1/6, 1
Suppose -18 = -3*n + t, n + 5*t = 3 + 3. Let d be (3/2)/(n/8). What is z in -6/5*z**3 + 0 + d*z**4 - 8/5*z - 24/5*z**2 = 0?
-1, -2/5, 0, 2
Let l(s) = -10*s**2 + 11*s - 9. Let g(o) be the second derivative of 0 + 1/12*o**4 - 1/6*o**3 + 1/2*o**2 - 3*o. Let w(k) = -24*g(k) - 3*l(k). Factor w(h).
3*(h - 1)*(2*h - 1)
Let u(g) be the second derivative of -g**7/147 + 2*g**6/35 - g**5/14 - 38*g - 2. Find n, given that u(n) = 0.
0, 1, 5
Suppose 4*r - 300 = 76. Let m = r + -90. Factor 0*z - 1/2*z**5 + 1/2*z**2 - 3/2*z**3 + 3/2*z**m + 0.
-z**2*(z - 1)**3/2
Let d(g) be the first derivative of g**3/30 + 29*g**2/20 + 14*g/5 - 202. Determine s so that d(s) = 0.
-28, -1
Let s be (-5)/35 - 30/(-14). Let b(z) be the first derivative of -13/3*z**3 - 2*z + 15/2*z**s + 11. Factor b(o).
-(o - 1)*(13*o - 2)
Suppose 0 = 2*y - 6 - 14. Suppose 0 = -5*c + 3*m + 4, -y = -2*m - 3*m. Determine o, given that -3*o + c*o + 6 + 3*o**2 - 9*o - 5*o + 6*o**3 = 0.
-2, 1/2, 1
Let v be -3 + 7 + -7 + 8. Let s(a) be the first derivative of 1/10*a**5 + 0*a**3 - 1/4*a**4 + 0*a + 0*a**2 - v. Suppose s(w) = 0. Calculate w.
0, 2
Let q(h) be the second derivative of -h**6/42 - h**5/140 + h**4/21 - 141*h. Factor q(n).
-n**2*(n + 1)*(5*n - 4)/7
Let d = 1893 - 1893. Factor d*i**3 + 1/7*i**4 + 0 + 0*i**2 + 0*i.
i**4/7
Let f(c) = 5*c**2 - 3*c. Let n be f(-1). Factor 0*p**5 + 4*p**5 + 0*p**4 - n*p**4 + 0*p**4 + 8*p**2 - 4*p**3.
4*p**2*(p - 2)*(p - 1)*(p + 1)
Let -10*y - 39 + 35*y + 11*y - 3270*y**2 + 3273*y**2 = 0. Calculate y.
-13, 1
Let i(v) be the first derivative of v**7/504 + v**6/40 + v**5/9 + v**4/6 + v**3 + 12. Let b(d) be the third derivative of i(d). Factor b(c).
(c + 2)*(c + 3)*(5*c + 2)/3
Suppose -12*z - 3*z = 15. Let j be ((-8)/32)/(z*(-3)/(-18)). Factor 0 - j*w**2 + 3*w.
-3*w*(w - 2)/2
Suppose 5*f + 2*k = 15, 5*f = -47*k + 50*k + 40. Solve -11/4*u + 4*u**4 + 3/4*u**f + 3/2*u**2 + 6*u**3 - 3/2 = 0.
-3, -1, 2/3
Let o(h) = -h**2 + 1. Let k(u) be the first derivative of 7*u**3/3 + 5*u**2/2 - 8*u + 20. Let f(y) = 5*k(y) + 40*o(y). Factor f(r).
-5*r*(r - 5)
Let h(w) be the second derivative of 0 - 3*w + 1/4*w**4 + 1/60*w**5 + 2*w**2 + 3/2*w**3. Let l(r) be the first derivative of h(