erivative of -3*w**6/160 + w**5/8 - 25*w**4/96 - 90*w**2. Factor c(b).
-b*(3*b - 5)**2/4
Let w = -1692 + 15230/9. Factor w*h**2 + 2 - 4/3*h.
2*(h - 3)**2/9
Let h(c) be the third derivative of 289/70*c**7 + 17/10*c**6 + 0*c**4 - 3*c**2 + 1/5*c**5 + 0 + 0*c**3 + 0*c. Factor h(a).
3*a**2*(17*a + 2)**2
Let l(k) = -2*k**2 + 2*k. Let y(t) = 7*t**2 - 40*t - 27. Let g(c) = -5*l(c) - y(c). Factor g(a).
3*(a + 1)*(a + 9)
Let j(m) be the third derivative of -m**7/15 + 359*m**6/60 - 2057*m**5/10 + 36125*m**4/12 - 9826*m**3/3 + 231*m**2. Factor j(a).
-2*(a - 17)**3*(7*a - 2)
Let f(o) be the second derivative of -49/30*o**4 + 0 - 7*o - 16/5*o**2 + 56/15*o**3. Find r, given that f(r) = 0.
4/7
Let d(w) be the first derivative of -21/4*w**4 + 24*w**2 + 5*w**3 + 12*w - 4. Factor d(a).
-3*(a - 2)*(a + 1)*(7*a + 2)
Let r(x) = 10*x**4 - 390*x**3 + 276*x**2 + 146*x - 42. Let k(y) = y**4 - y**3 + y**2 - 1. Let b(j) = 12*k(j) + 2*r(j). Determine a, given that b(a) = 0.
-1/2, 1/4, 1, 24
Solve 2/11*s**2 - 8/11*s**3 - 2/11*s**4 + 24/11 + 32/11*s = 0.
-3, -2, -1, 2
Let i(z) be the first derivative of 55/3*z**2 + 40 - 475/9*z**3 - 125/12*z**4 + 40/3*z. Determine k, given that i(k) = 0.
-4, -1/5, 2/5
Let p be 60/(-8)*(-24)/30. Let l(d) be the third derivative of -1/30*d**5 + 0*d + 5*d**2 - 1/15*d**p - 1/35*d**7 + 0*d**3 + 0 + 0*d**4. Factor l(c).
-2*c**2*(c + 1)*(3*c + 1)
Let k = -6071 - -42605/7. Factor -4/7*h**3 - 36/7*h**2 - 108/7 - k*h.
-4*(h + 3)**3/7
Let u be 4 - (1 + 11 + -8). Find g such that 18/13*g**3 - 2/13*g + 0*g**2 + u = 0.
-1/3, 0, 1/3
Let p(t) be the second derivative of 0*t**2 + 23*t - 1/180*t**6 - 1/40*t**5 + 0*t**4 + 0 + 0*t**3. Factor p(s).
-s**3*(s + 3)/6
Let g(w) = -155*w**2 - 1895*w - 7085. Let j(h) = 7*h**2 + 86*h + 322. Let c(d) = -2*g(d) - 45*j(d). Let c(r) = 0. Calculate r.
-8
Let u = 4075 - 4072. Factor -6/5*c - 12/5*c**2 - 6/5*c**u + 0.
-6*c*(c + 1)**2/5
Factor 5*f**3 + 1600 + 1034*f - 21*f**2 - 2167*f - 34*f**2 + 1053*f.
5*(f - 8)**2*(f + 5)
Suppose 0 = x + 366 - 8. Let n = -2494/7 - x. Suppose n*d**3 + 0 + 8/7*d**2 - 4/7*d = 0. What is d?
-1, 0, 1/3
Let t = 844 - 2530/3. Let k(g) be the second derivative of -1/10*g**5 + 0*g**2 - 5*g - 1/2*g**4 + 0 - t*g**3. Factor k(j).
-2*j*(j + 1)*(j + 2)
Let y(q) be the second derivative of q**6/30 + 2*q**5/5 + 4*q**4/3 - 38*q. Factor y(w).
w**2*(w + 4)**2
Suppose -11*o + b = -14*o + 31, 8 = -o - 4*b. Let d be 129/90 - o/20. Solve -2/3 - 1/6*y**2 - d*y = 0 for y.
-4, -1
Let u = 99/13 + -482/65. Let 1/5 - 1/5*j**3 - u*j**2 + 1/5*j = 0. What is j?
-1, 1
Let j(k) = 4*k**4 + 8*k**3 + 75*k**2 + 163*k + 128. Let x(r) = 3*r**4 + 10*r**3 + 74*r**2 + 162*r + 128. Let a(l) = -2*j(l) + 3*x(l). Factor a(h).
(h + 2)*(h + 4)**3
Let a be ((-4)/8)/(2/(-32)). Let l = 10 - a. Factor -6*b**4 + 8*b**2 - 4*b + 6*b**l + 2*b**5 - 8*b**2 + 2*b**3.
2*b*(b - 2)*(b - 1)**2*(b + 1)
Let c(i) = i**5 + i**4 - i**2 - i + 2. Let o(t) = t**5 - 6*t**4 - 20*t**3 - 18*t**2 - 2*t + 4. Let b(j) = 2*c(j) - o(j). Factor b(n).
n**2*(n + 2)**2*(n + 4)
Let z(d) be the second derivative of -d**7/14 - 32*d**6/15 + 47*d**5/20 + 16*d**4/3 - 22*d**3/3 + 218*d. What is w in z(w) = 0?
-22, -1, 0, 2/3, 1
Let o(v) be the second derivative of v**6/6 + v**5 - 15*v**4/2 + 50*v**3/3 - 35*v**2/2 + 3*v. Suppose o(a) = 0. What is a?
-7, 1
Let i be 3/5 - (-24)/10. Let h be 1/(0 + (-1)/(-4)). Factor -i*o**4 - h*o**4 + o**4 + 8*o**4 - 2*o**3 - 4*o**2.
2*o**2*(o - 2)*(o + 1)
Suppose 20*p = 8*p + 48. Factor p*u**3 - 8*u + 7*u**2 + 4*u + u**2 - 8.
4*(u - 1)*(u + 1)*(u + 2)
Let j = 5 + -3. Let h(y) = -10*y**3 + 18*y**2 - 6*y - 2. Let t(d) = d**5 - d**3 - d**2 + 1. Let n(s) = j*t(s) + h(s). Factor n(m).
2*m*(m - 1)**3*(m + 3)
Let u(f) be the first derivative of -2*f**3/27 - 4*f**2/3 - 64*f/9 + 77. Factor u(k).
-2*(k + 4)*(k + 8)/9
Let 37*c - 26*c + 111*c**2 + 12*c**4 + 27 - 60*c**3 - 101*c = 0. Calculate c.
1, 3/2
Factor -2/13*j + 10/13*j**2 - 10/13 + 2/13*j**3.
2*(j - 1)*(j + 1)*(j + 5)/13
Suppose -5*q - 42*l + 20 = -44*l, q - 22 = 4*l. Factor 1/2*g**q + 1/4*g**3 - 1/4*g - 1/2.
(g - 1)*(g + 1)*(g + 2)/4
Let r(n) be the first derivative of n**3/7 - 45*n**2/7 + 675*n/7 - 272. Factor r(x).
3*(x - 15)**2/7
Suppose 4*a = -13 + 33. Let v = -2 + a. Determine t so that 2/13*t**v + 6/13*t + 2/13 + 6/13*t**2 = 0.
-1
Let b(l) be the first derivative of -l**6/4 + 3*l**4/4 - 3*l**2/4 - 510. Factor b(t).
-3*t*(t - 1)**2*(t + 1)**2/2
Let t be (6/(-4))/(5/4 - 1). Let a be t/24*2/(-4). Solve 3/4*m + 9/8 + a*m**2 = 0.
-3
Let l(r) = 15*r**3 - 55*r**2 + 90*r - 45. Let g(n) = -8*n**3 + 28*n**2 - 46*n + 23. Let m(j) = 5*g(j) + 3*l(j). Solve m(d) = 0.
1, 2
Let l(o) = o**3 + 5*o**2 + 2*o. Let y be l(-3). Let s be (4/5)/(2/5). Let -3*f**5 + y*f**s + f**4 - 3*f + 0*f**5 - 18*f**3 + 11*f**4 + 0*f**2 = 0. What is f?
0, 1
Suppose -3*w = -3*u + 15, -19*u - 5*w - 25 = -15*u. Factor -1/3*p**2 + 0*p - p**4 + p**3 + 1/3*p**5 + u.
p**2*(p - 1)**3/3
Let g(s) be the second derivative of -7*s**4/6 + 68*s**3/15 + 4*s**2/5 - s + 4. Factor g(d).
-2*(d - 2)*(35*d + 2)/5
Let d(a) = -3*a**2 - 96*a + 2320. Let f(g) = 2*g**2 + 96*g - 2316. Let w(n) = -3*d(n) - 4*f(n). Find l such that w(l) = 0.
48
Let n(h) be the first derivative of 0*h - h**2 + h**3 - 1/4*h**4 + 2. Find d, given that n(d) = 0.
0, 1, 2
Let z = -884 - -884. Let r(b) be the second derivative of 0*b**3 - 3/40*b**5 + 1/60*b**6 + 0 + 4*b + z*b**2 + 1/12*b**4. Factor r(a).
a**2*(a - 2)*(a - 1)/2
Let w = -1205/4 - -302. Let n(p) be the first derivative of -1/12*p**3 - w*p**2 + 6 - 9/4*p. What is z in n(z) = 0?
-3
Let r(f) = -2*f**5 - 17*f**4 - 50*f**3 - 3*f**2 - 3. Let y(w) = -2*w**5 - 18*w**4 - 50*w**3 - 2*w**2 - 2. Let u(s) = 2*r(s) - 3*y(s). Let u(g) = 0. What is g?
-5, 0
Let h(s) be the first derivative of s**7/735 - s**6/140 + s**5/70 - s**4/84 + 5*s**2 + 21. Let m(g) be the second derivative of h(g). Solve m(u) = 0 for u.
0, 1
Suppose 4*t + 15*i - 104 = 16*i, 0 = t - 3*i - 15. Factor -32/3*h**2 + t*h**4 + 15*h**3 + 0 + 4/3*h.
h*(h + 1)*(9*h - 2)**2/3
Suppose -136 = -6*f - 124. Let l(q) be the first derivative of -3/16*q**4 + 0*q + 9 - 1/12*q**3 + 1/4*q**f. Find w, given that l(w) = 0.
-1, 0, 2/3
Find q such that -31/5*q + 961/10 + 1/10*q**2 = 0.
31
Let i(z) be the second derivative of -z**4/36 - z**3/6 + 2*z**2/3 + 80*z. Factor i(t).
-(t - 1)*(t + 4)/3
Suppose -i - m = -9, -5*i + 9 = 2*m - 24. Let q = 27 - 25. Find d such that 4*d**3 - 8*d + 8*d - 2*d**3 - 1 - i*d**q + 4*d = 0.
1/2, 1
Let k(p) be the second derivative of -p**6/30 + 2*p**5/5 - 23*p**4/12 + 14*p**3/3 - 6*p**2 + 86*p. Factor k(g).
-(g - 3)*(g - 2)**2*(g - 1)
Let i be (15 - 21)*(3/(162/(-56)) - -1). Factor i + 2/9*f**2 + 4/9*f.
2*(f + 1)**2/9
Let c(y) be the second derivative of -y**4/4 - 63*y**3/2 - 755*y. Solve c(n) = 0.
-63, 0
Let i(b) = b**4 + b**2 - b - 1. Let q(w) = -4*w**4 - 68*w**3 - 132*w**2 - 62*w + 2. Let g(m) = -4*i(m) - 2*q(m). Determine n, given that g(n) = 0.
-32, -1, 0
Let k(s) = -s + 4. Let t be k(4). Suppose 0 = -4*m + 5*v + 28, t = m + 3*v - 6 - 1. Factor -8*i**3 - 4*i**2 - 3*i**5 - 12*i**4 - m*i**3 - 2*i**2.
-3*i**2*(i + 1)**2*(i + 2)
Let a be -5 + ((-2)/(-1) - (-9 + 6)). Let q(s) be the first derivative of 5 + 2/5*s + 1/20*s**4 - 3/10*s**2 + a*s**3. Factor q(w).
(w - 1)**2*(w + 2)/5
Let g(a) be the third derivative of 28/5*a**5 + 4*a**2 + 2/105*a**7 + 3 + 1/2*a**6 + 104/3*a**4 + 0*a + 128*a**3. Factor g(k).
4*(k + 3)*(k + 4)**3
Let b(h) be the third derivative of h**6/300 - h**5/75 - h**4/15 + 8*h**3/15 + 2*h**2 + 59. Suppose b(m) = 0. Calculate m.
-2, 2
Let s = 6043/3 - 2014. Suppose l**5 + s - 2/3*l**3 - 2*l**2 + 5/3*l**4 - 1/3*l = 0. Calculate l.
-1, 1/3, 1
Suppose 5*a = 9*a. Let k be (a + 1)/(-2*(-4)/16). Factor -2/7*p - 2/7*p**3 + 0 + 4/7*p**k.
-2*p*(p - 1)**2/7
Determine m so that 13*m - 303 - 272 + m**2 + 597 = 0.
-11, -2
Let i = 48 - 46. Solve -2*z - 4*z**3 + 7*z**3 + i*z**3 + 3*z**2 + 3*z**4 + 3*z**3 = 0.
-2, -1, 0, 1/3
Factor -15 - 31*l**2 - 32*l**2 - 33*l**2 + 95*l**2 - 28*l - 12.
-(l + 1)*(l + 27)
Let l(x) be the third derivative of -x**7/126 - x**6/36 + 5*x**5/36 + 5*x**4/12 - 85*x**2 - 1. Let l(k) = 0. Calculate k.
-3, -1, 0, 2
Let z = 116671 - 15166889/130. Let u = z - 3/130. Suppose -6/5*h**3 - 1/5 - 8/5*h - u*h**2 = 0. Calculate h.
-1, -1/6
Let c