h(w). Factor q(c).
-c*(c - 2)
Determine m, given that 226 - 2*m**3 + 3804*m**2 + 20*m + 430*m - 3582*m**2 = 0.
-1, 113
Let n(a) be the third derivative of a**5/30 - 25*a**4/48 + a**3/2 - 348*a**2. Factor n(q).
(q - 6)*(4*q - 1)/2
Factor 32/5 + 1/5*u**2 - 18/5*u.
(u - 16)*(u - 2)/5
Let d(b) = 2*b**3 - 11*b**2 + 7*b - 7. Let o be d(5). Let j(h) be the first derivative of 10 + 3/8*h**4 + 0*h**2 + 0*h + 0*h**o + 3/20*h**5. Factor j(w).
3*w**3*(w + 2)/4
Let t(s) be the second derivative of -s**5/5 - 22*s**4/3 - 290*s**3/3 - 600*s**2 + 2*s + 86. Factor t(y).
-4*(y + 5)**2*(y + 12)
Let q(o) = 9*o**3 - 43*o**2 - 104*o - 85. Let g(i) = -5*i**3 + 22*i**2 + 52*i + 42. Let y(a) = 11*g(a) + 6*q(a). Factor y(c).
-(c + 2)**2*(c + 12)
Let n(h) be the first derivative of h**6/60 + h**5/15 + 15*h**2/2 + 15. Let x(z) be the second derivative of n(z). Let x(r) = 0. What is r?
-2, 0
Let o be (2*((-1526)/140 - -11))/((-3)/(-5)). Factor -o*j**2 - 6*j - 27.
-(j + 9)**2/3
Let z = 67/55 + -56/55. Factor -1/5*o**3 - z - 3/5*o**2 - 3/5*o.
-(o + 1)**3/5
Let z(l) = 3*l**2 - 36*l - 2. Let u(f) = -13*f**2 + 144*f + 9. Let j(w) = -2*u(w) - 9*z(w). Determine d so that j(d) = 0.
0, 36
Factor 9/4 + 42*a**2 + 75/4*a + 12*a**3.
3*(a + 3)*(4*a + 1)**2/4
Let n(c) be the second derivative of 0 + 4/15*c**6 - 1/6*c**3 - 5/6*c**4 + 14*c + 5/42*c**7 - 1/5*c**5 + c**2. Factor n(x).
(x - 1)*(x + 1)**3*(5*x - 2)
Let i(g) = 2*g**3 - 22*g - 22. Let v(b) = -b**3 + b + 2. Let c(m) = -5*i(m) - 5*v(m). Find h such that c(h) = 0.
-4, -1, 5
Let p(q) be the first derivative of 0*q**4 - 35 + 1/3*q**3 - 1/5*q**5 + 0*q + 1/12*q**6 - 1/4*q**2. What is j in p(j) = 0?
-1, 0, 1
Let h(c) = 4*c**2 + 61*c + 222. Let y be h(-6). Factor -u**3 - 1/3*u**4 + 0 - 2/3*u**2 + y*u.
-u**2*(u + 1)*(u + 2)/3
Let j(o) be the first derivative of -o**4/60 + o**3/15 - o**2/10 + 12*o + 12. Let q(w) be the first derivative of j(w). Factor q(v).
-(v - 1)**2/5
Let r(l) be the first derivative of 25/12*l**3 - 3 + 1/4*l + 5/4*l**2. Find g, given that r(g) = 0.
-1/5
Suppose -3*y**2 + 58*y - 43*y + 8 + 13 - 3 = 0. Calculate y.
-1, 6
Let l be -2 + ((-49)/(-7) - 10/2). Let b(r) be the first derivative of 0*r**2 - 2 + 0*r - 1/15*r**5 + l*r**3 + 0*r**4 - 1/18*r**6. Factor b(f).
-f**4*(f + 1)/3
Let n = -590 - -594. Let y(o) be the second derivative of -1/20*o**6 - o + 1/4*o**3 + 0 + 1/4*o**n - 3/4*o**2 - 3/20*o**5 + 1/28*o**7. Solve y(d) = 0 for d.
-1, 1
Let -55/3*k - 29/3*k**2 - 4/3*k**3 - 4 = 0. Calculate k.
-4, -3, -1/4
Let b(d) be the first derivative of -8*d**3/9 + 2*d**2/3 + 8*d + 70. Determine f so that b(f) = 0.
-3/2, 2
Let w(b) be the second derivative of 7*b**7/2 - 133*b**6/10 - 123*b**5/20 - 3*b**4/4 + 2*b - 17. Find n such that w(n) = 0.
-1/7, 0, 3
Let q = 26 + -23. Factor 18*p**4 - 2*p**4 - 25*p**3 + 0*p**4 - 4*p**5 + 8*p**2 + 5*p**q.
-4*p**2*(p - 2)*(p - 1)**2
Let j(l) = 15*l**2 - 28*l + 23. Let s(y) = -17*y**2 + 28*y - 24. Let g(m) = 4*j(m) + 3*s(m). Determine t, given that g(t) = 0.
10/9, 2
Let p = 28565/69 - 414. Let u = p - -8/23. Let -u*i + 0 - 2/3*i**2 - 1/3*i**3 = 0. Calculate i.
-1, 0
Let w(t) be the third derivative of 0*t + 0*t**3 - 1/330*t**6 - 1/330*t**5 - 1/1155*t**7 + 5*t**2 + 0 + 0*t**4. Determine z so that w(z) = 0.
-1, 0
Suppose 19*p - 24*p = -20. Let n(j) be the third derivative of 1/15*j**3 + 0 + 0*j + 0*j**p - j**2 - 1/150*j**5. Factor n(r).
-2*(r - 1)*(r + 1)/5
Let f = 447/364 + 2/91. Let g(k) be the second derivative of -27/2*k**2 + 3*k + 0 - 3/2*k**3 - 3/20*k**5 + f*k**4. Factor g(j).
-3*(j - 3)**2*(j + 1)
Let l(y) be the third derivative of y**8/672 + y**7/140 - y**6/40 - 13*y**5/60 - 9*y**4/16 - 3*y**3/4 - 5*y**2 - 40. Factor l(w).
(w - 3)*(w + 1)**3*(w + 3)/2
Let w = -98 - -50. Let r = -44 - w. Factor 2/5*c**2 - 2/5*c**3 + 0 + 2/5*c - 2/5*c**r.
-2*c*(c - 1)*(c + 1)**2/5
Let y be ((-11046)/378 + 29)/(((-4)/2)/4). Let t(n) = n**2 + 5*n + 6. Let l be t(-4). Factor 0*p**3 - 2/9*p**4 + y*p**l + 0*p - 2/9.
-2*(p - 1)**2*(p + 1)**2/9
Let w(p) be the first derivative of 2*p**5/45 + 2*p**4/9 + 2*p**3/9 - 125. Solve w(n) = 0 for n.
-3, -1, 0
Factor 0*f + 0*f**2 - 5/6*f**3 + 0.
-5*f**3/6
Let r = 20 + -17. Factor p + 5*p + 4*p**4 + 18*p**r - 10*p**4 - 15*p**3 + 15*p**2.
-3*p*(p - 2)*(p + 1)*(2*p + 1)
Let q(s) = s**2 - 3*s + 2. Suppose -13 = -u + 2. Let h be 3 - u/(3/1). Let x(d) = 2*d**2 - 6*d + 4. Let f(t) = h*x(t) + 5*q(t). Factor f(k).
(k - 2)*(k - 1)
Let c = -6 - -8. Let l be (-1)/(1 + 0) + 93/31. Factor -l*s**2 + 13*s - 15*s + 0*s**c.
-2*s*(s + 1)
Let v = 304 + -607/2. Let a(x) be the first derivative of v*x**4 - 6 + 5/6*x**3 + 1/2*x**2 + 0*x + 1/10*x**5. Let a(l) = 0. Calculate l.
-2, -1, 0
Let o be ((-4)/(-6))/(24/(-9) + 3). Factor -51*j + 102*j - o - 2*j**2 - 47*j.
-2*(j - 1)**2
Let b(z) be the second derivative of -z**5/10 + 19*z**4/12 - 20*z**3/3 - 25*z**2/2 + 181*z. Determine p so that b(p) = 0.
-1/2, 5
Let j(g) be the first derivative of -g**5/15 - 11*g**4/12 - 11*g**3/3 - 5*g**2/6 + 50*g/3 - 36. Factor j(c).
-(c - 1)*(c + 2)*(c + 5)**2/3
Let c(h) = -h**2 + 2*h + 9. Let o be c(3). Let t(q) be the second derivative of -1/4*q**2 + o*q - 1/24*q**3 + 0 + 1/48*q**4. Factor t(x).
(x - 2)*(x + 1)/4
Let j(l) be the second derivative of -20/21*l**3 + 10*l + 25/42*l**4 + 0 + 4/7*l**2. Factor j(c).
2*(5*c - 2)**2/7
Let v be 9/(-15) - 74/(-90). Let k be (4/(-42))/((-297)/(-77) + -4). Factor 0*h - v*h**4 + 0 - k*h**3 - 4/9*h**2.
-2*h**2*(h + 1)*(h + 2)/9
Find m, given that -56/3*m**2 - 18*m + 0 - 2/3*m**3 = 0.
-27, -1, 0
Let v(p) be the third derivative of p**6/420 - 13*p**5/105 + 25*p**4/84 - 395*p**2. Factor v(i).
2*i*(i - 25)*(i - 1)/7
Suppose 2*u + 46 = -5*x, -3*u = -2*x - 3 - 4. Let i be (-4)/x - (-28)/8. Let -10*p + 5*p**i + 45*p**3 - 35*p**5 - 33*p**2 + 20*p**4 + 8*p**2 = 0. Calculate p.
-1, -2/7, 0, 1
Let z(m) be the first derivative of -m**6/21 + 4*m**5/35 - 4*m**3/21 + m**2/7 - 33. What is r in z(r) = 0?
-1, 0, 1
Let h(s) be the second derivative of -s**5/4 + 5*s**4/6 + 25*s**3/6 - 15*s**2 - 60*s - 2. Let h(t) = 0. What is t?
-2, 1, 3
Let l = 11 + 1. Suppose -3*o + l = 0, -5*z - o + 193 = -46. Let 3*k**2 - z*k + 11*k + 12 + 12*k**2 = 0. Calculate k.
2/5, 2
Let g = 5/4809 + 14417/9618. Solve 15/8*z**3 - 3/8*z**4 + g*z - 3*z**2 + 0 = 0 for z.
0, 1, 2
Determine o, given that -11*o**2 + 4*o**2 + 42*o**3 - 9*o**4 + 7*o**2 + 47*o**3 + 10*o**2 = 0.
-1/9, 0, 10
Let m(z) = z**3 - 4*z**2 - z - 1. Let t(b) = 2*b**4 - 54*b**3 + 392*b**2 - 954*b + 806. Let n(c) = -6*m(c) - t(c). Factor n(h).
-2*(h - 10)**2*(h - 2)**2
Suppose -7*w + 18 + 17 = 0. Suppose -w*g - 20 = -5*j, 2*j - 3*j - 2 = 5*g. Factor 27/2*l**4 + 6*l - 18*l**j - 3*l**2 + 3/2.
3*(l - 1)**2*(3*l + 1)**2/2
Suppose -9 = -2*y - 3*c, -2*y + 16*c - 12 = 12*c. Factor -8/3*w**2 + 4/3 + 0*w**3 + y*w + 4/3*w**4.
4*(w - 1)**2*(w + 1)**2/3
Let p(i) = -2*i**4 - 2*i**3 + i**2 - i + 1. Let j(v) = -5*v**4 + 145*v**3 + 5925*v**2 + 16721*v + 10955. Let c(o) = 2*j(o) - 6*p(o). Factor c(a).
2*(a + 1)*(a + 2)*(a + 74)**2
Suppose -5*x + 376 - 36 = 3*f, 0 = -4*f. Determine a so that 8*a - 8*a**5 + 96*a**3 - 19*a**2 + 12*a**5 + 12*a**5 - 33*a**2 - x*a**4 = 0.
0, 1/4, 1, 2
Solve 3/5*i**5 + 2187/5*i - 6561/5 + 87/5*i**4 + 882/5*i**3 + 3402/5*i**2 = 0 for i.
-9, -3, 1
Let z(r) be the third derivative of r**5/300 - r**4/20 + 4*r**3/15 + 68*r**2. What is d in z(d) = 0?
2, 4
Let g(t) = 4*t - 9 + 8 + t**3 - 4*t + t**2. Suppose -3*d = 9 + 9. Let b(p) = 4*p**3 + 2*p. Let r(q) = d*g(q) + b(q). Factor r(i).
-2*(i - 1)*(i + 1)*(i + 3)
Let j = 94 - 91. Let x(o) be the first derivative of -11 + 2/7*o**2 + 2/21*o**j + 2/7*o. Suppose x(v) = 0. Calculate v.
-1
Let y(b) be the first derivative of b**6/30 - b**5/15 + 9*b**2/2 - 11. Let z(n) be the second derivative of y(n). Find r such that z(r) = 0.
0, 1
Let d = 72 - 68. Let l(b) be the first derivative of -b**3 - 3/2*b**2 + 3/4*b**d + 3 + 3*b. Determine w, given that l(w) = 0.
-1, 1
Suppose -19/5*s + 1/5*s**3 - 2/5*s**2 + 4 = 0. What is s?
-4, 1, 5
Let r(q) be the first derivative of q**6/15 + 2*q**5/25 - q**4/10 - 2*q**3/15 - 121. Factor r(s).
2*s**2*(s - 1)*(s + 1)**2/5
Let t(a) = 5*a**2 - 13*a - 13. Let y be t(-1). Let m(c) be the third derivative of -4*c**2 - 1/4*c**4 - 1/20*c**y + 0 + 0*c + 0*c**3. Factor m(v).
-3*v*(v + 2)
Let r be