erivative of -5/12*u**5 - 62*u**2 - 5/3*u**3 + 35/24*u**4 + 0*u + 0. Determine z so that y(z) = 0.
2/5, 1
Suppose 26*h - 44*h = -54. Find i such that -3*i**2 - 2*i**2 - 10*i**3 - 8*i**4 + h*i**4 = 0.
-1, 0
Let h(l) = -l**3 - 2*l**2 + 61*l - 12. Let p be h(-9). Factor -180*i - 2*i**5 + 8*i**4 + 180*i - p*i**3.
-2*i**3*(i - 3)*(i - 1)
Suppose -5*x = -5*o + 15, 2*o - 14 = -3*o + 4*x. Suppose 2 = o*f + 4. Let a(g) = -g**2 + 4*g + 5. Let b(s) = -s - 1. Let i(m) = f*a(m) - 6*b(m). Factor i(k).
(k + 1)**2
Let m(n) be the first derivative of 5*n**4/4 - 445*n**3/3 - 225*n**2 - 11580. Factor m(j).
5*j*(j - 90)*(j + 1)
Let k(o) be the third derivative of -20*o**3 + 0 + 0*o + 18/5*o**5 - 7/30*o**6 - 89/6*o**4 - 125*o**2. Factor k(m).
-4*(m - 5)*(m - 3)*(7*m + 2)
Let i(r) be the third derivative of -50*r**3 - 45/2*r**4 - 61/20*r**5 + 0 - 1/70*r**7 + 68*r**2 + 9/20*r**6 + 0*r. Factor i(w).
-3*(w - 10)**2*(w + 1)**2
Let b be 1234/56 - ((-517)/(-2079) - (-4)/108). Factor -21/4 + b*h + 3*h**3 - 24*h**2.
3*(h - 7)*(2*h - 1)**2/4
Let s = 221 - 219. Suppose 4*j = 3*h + s*j, j + 2*j = 0. Find t such that 32/3*t**4 + 2*t**3 - 14/3*t**5 + h + 8/3*t - 32/3*t**2 = 0.
-1, 0, 2/7, 1, 2
Find w such that 7/2*w**2 + 6*w + 0 + 1/4*w**3 = 0.
-12, -2, 0
Let w(o) = 114*o**2 + 305*o - 7. Let t(h) = 56*h**2 + 141*h - 3. Let k(u) = 9*t(u) - 4*w(u). Find i, given that k(i) = 0.
-1, -1/48
Let j be (-5025)/(-60) - 2/16*2. Let p = j + -80. Factor 0 + p*h**2 + h + 3/2*h**3.
h*(h + 2)*(3*h + 1)/2
Factor -534*o**4 - 285156*o**3 - 2/5*o**5 - 10164243042*o - 76136652*o**2 - 2713852892214/5.
-2*(o + 267)**5/5
Let c(x) be the first derivative of 100 + 6*x + 15/4*x**2 + 1/2*x**3. Find a, given that c(a) = 0.
-4, -1
Solve -12/7*v - 10/7 + 4/7*v**3 + 18/7*v**2 = 0.
-5, -1/2, 1
Let w(m) = -112*m**2 + 116*m - 325. Let j(q) = 538*q**2 - 580*q + 1626. Let z(y) = -5*j(y) - 24*w(y). Factor z(k).
-2*(k - 55)*(k - 3)
Let m(g) be the third derivative of g**6/240 - g**5/5 + 23*g**4/48 - 23*g**2 + 4. Find l, given that m(l) = 0.
0, 1, 23
Let i(l) be the first derivative of -l**5/20 + 379*l**4/16 - 3936*l**3 + 231424*l**2 + 2621440*l - 4792. Factor i(o).
-(o - 128)**3*(o + 5)/4
Let b(m) be the third derivative of m**5/30 - 293*m**4/12 - 296*m**3 + 25*m**2 - 41*m - 2. Solve b(x) = 0.
-3, 296
Find m such that 1961*m**2 - 1360*m + 117/2*m**5 + 972*m**4 + 8597/2*m**3 + 64 = 0.
-8, -1, 2/39, 1/3
Let w = -452 - -451. Let d be w/(1/(-24)*21). Determine j so that 16/7*j**3 - 12/7*j - d + 0*j**4 + 8/7*j**2 - 4/7*j**5 = 0.
-1, 1, 2
Let p = -277670 - -277673. Determine d so that 8*d**2 - 4/7*d**5 - 96/7 + 60/7*d**p - 16*d - 16/7*d**4 = 0.
-6, -1, 2
Let s(b) be the first derivative of b**6/6 + 3*b**5/4 - 10*b**3/3 - 160*b - 33. Let t(p) be the first derivative of s(p). Factor t(c).
5*c*(c - 1)*(c + 2)**2
Factor 108*w**2 + 867/2 + 1071/2*w + 6*w**3.
3*(w + 1)*(2*w + 17)**2/2
Find b such that 0 - 4*b**2 - 20*b + 1/4*b**3 = 0.
-4, 0, 20
Let h be 23/((-1242)/72) - (-4)/3. Let f(b) be the third derivative of 16*b**2 - 5/6*b**3 + 0*b + h + 5/8*b**4 + 1/3*b**5. Factor f(x).
5*(x + 1)*(4*x - 1)
Let i(r) be the first derivative of 9*r**5/25 - 5433*r**4/20 + 273008*r**3/5 + 136806*r**2/5 + 477. Factor i(l).
3*l*(l - 302)**2*(3*l + 1)/5
Let u(t) = 12*t**2 + 2*t + 1. Let g be u(1). Let q = 49 - g. Factor q*f + f**5 + 3*f**3 + 27*f**3 + 9*f**4 + 9 + 46*f**2 - f.
(f + 1)**3*(f + 3)**2
Let s(z) be the first derivative of z**3/4 + 99*z**2/8 + 135*z/2 - 510. What is y in s(y) = 0?
-30, -3
Let b(p) = 3*p**5 - p**3 - p**2 - p - 2. Let q(d) = 9*d**5 + 30*d**4 - 8*d**3 - 62*d**2 + d + 26. Let y(x) = 2*b(x) - q(x). Solve y(g) = 0 for g.
-10, -1, 1
Find k such that -137/3*k**2 + 1/3*k**4 + 76*k + 8*k**3 - 116/3 = 0.
-29, 1, 2
Suppose -12*f - 52 = -25*f. Solve 55*q**3 - 5*q**4 + 10*q**f + 236*q + 125 + 5*q**3 + 64*q + 230*q**2 = 0 for q.
-5, -1
Find x, given that 90*x**4 - 405*x**3 - 5*x**5 + 660*x - 9914245 + 28*x**2 + 132*x**2 + 9914245 = 0.
-1, 0, 2, 6, 11
Suppose 159 = 5*l - n, -4*l + 94 = 5*n - 39. Let o be (-3*10/(-12))/(4/l). Determine b so that 4*b**3 - 20 + 0*b**4 + 14*b**4 - 16*b + o - 56*b**2 = 0.
-2, -2/7, 0, 2
Let i(v) = v - 243. Let u be i(25). Let c = -215 - u. Suppose 4/3 + 4/9*b**c + 4/9*b**2 - 20/9*b = 0. What is b?
-3, 1
Factor -203/4 + 1/4*y**2 + 11/2*y.
(y - 7)*(y + 29)/4
Factor -479/3*i - 229441/6 - 1/6*i**2.
-(i + 479)**2/6
Let n(x) be the second derivative of x**7/28 - 7*x**6/20 - 33*x**5/20 + 7*x**4/2 + 18*x**3 + 22*x - 2. Find f such that n(f) = 0.
-2, 0, 2, 9
Suppose 2*m = -4*h - 0*m + 22, 5*h - 2*m = 5. Suppose -h*s = -53*s. Factor 3/2*n**2 + s - 4/3*n - 1/6*n**3.
-n*(n - 8)*(n - 1)/6
Let k(z) be the first derivative of 2744*z**6/3 - 196*z**5 + 35*z**4/2 - 5*z**3/6 - 43*z**2/2 + 37. Let v(d) be the second derivative of k(d). Factor v(u).
5*(28*u - 1)**3
Suppose 5*x + 45 = 65. Let n be 63/(-7) + (-64)/(-6). Solve 4/3*j + 8/3*j**2 + 0 + 1/3*j**x + n*j**3 = 0.
-2, -1, 0
Let y(u) be the second derivative of 0 + 1/360*u**5 + 0*u**4 + 0*u**3 + 11/2*u**2 + 21*u. Let n(m) be the first derivative of y(m). Solve n(d) = 0 for d.
0
Let r(a) be the second derivative of a**5/80 - 47*a**4/48 + 201*a**3/8 - 2349*a**2/8 + 2*a - 132. Factor r(x).
(x - 29)*(x - 9)**2/4
Find p, given that 1668*p**2 + 188702*p + 3*p**3 - 12333*p + 10742476 + 14*p**3 + 55483*p - 13*p**3 = 0.
-139
Suppose 394 = 566*h - 1018 - 286. Let i(c) be the third derivative of -18*c**2 + 1/16*c**4 + 0 - 1/40*c**5 + 1/2*c**h + 0*c. Factor i(m).
-3*(m - 2)*(m + 1)/2
Let v(z) be the second derivative of z**6/120 - z**5/6 + 7*z**4/6 - 4*z**3 - 6*z**2 - 54*z. Let h(d) be the first derivative of v(d). What is f in h(f) = 0?
2, 6
Let -2/17*i**2 - 120/17 + 2*i = 0. Calculate i.
5, 12
Let w(k) = -k**3 + 24*k**2 - 236*k + 770. Let m be w(6). Factor 2*s - 1/3*s**3 - s**m + 8/3.
-(s - 2)*(s + 1)*(s + 4)/3
Let i(v) be the first derivative of 2*v**3/27 + 4*v**2/3 - 728*v/9 + 107. Factor i(o).
2*(o - 14)*(o + 26)/9
Let z be ((-6)/(-3))/(14/65828). Suppose 10*m**3 - 2*m**4 - z - 20*m**2 - 32*m**3 + 9404 = 0. Calculate m.
-10, -1, 0
Find y such that 1/7*y**2 - 33/7*y + 116/7 = 0.
4, 29
Let z(s) = -4*s**3 - s + 35. Let p(x) = -x**3 + 2*x**2 + 5. Let m(t) = 20*p(t) - 4*z(t). Factor m(o).
-4*(o - 10)*(o - 1)*(o + 1)
Let b(p) = p**4 - p**3 - p**2 + 2*p + 1. Let f(q) = -q**5 + 3*q**4 - q**3 - 3*q**2 + 4*q + 2. Let v = 77 - 76. Let x(o) = v*f(o) - 2*b(o). Factor x(t).
-t**2*(t - 1)**2*(t + 1)
Let u(s) be the first derivative of -2*s**3/9 - 41*s**2/3 - 80*s/3 - 1374. Factor u(c).
-2*(c + 1)*(c + 40)/3
Suppose -16 = 15*s - 13*s + 4*w, -11 = 2*s + 3*w. Factor 147*z - 298*z + 153*z - z**s.
-z*(z - 2)
Let a be 31/(-124) - (-172238)/56. Suppose -1656/7*f**3 + 16/7*f**4 + a*f + 42433/7*f**2 + 2704/7 = 0. What is f?
-1/4, 52
Let k(x) be the second derivative of x**5/18 + 73*x**4/36 - 10*x**3/3 - 107*x**2/2 + 2*x - 19. Let r(b) be the first derivative of k(b). Solve r(f) = 0 for f.
-15, 2/5
Let w(c) = c**2 + 26*c + 140. Let h be w(-5). Factor 56 + 2*d - 3*d**2 - 16*d**2 - 78*d + h*d**2 + 4*d**3.
4*(d - 2)*(d - 1)*(d + 7)
Let a(l) = 278*l**2 + 1388*l - 7. Let i be a(-5). Factor -88/5*b + 14/5*b**i + 2*b**2 + 24/5.
2*(b - 2)*(b + 3)*(7*b - 2)/5
Let b(m) = -19*m**2 + 209*m - 212. Let u(x) = 48*x**2 - 417*x + 424. Let a(k) = -5*b(k) - 2*u(k). Factor a(y).
-(y - 1)*(y + 212)
Let r(d) = -4*d**2 - 1576*d + 3212. Let j(v) = -6*v + 1. Let n(q) = 4*j(q) + r(q). Factor n(h).
-4*(h - 2)*(h + 402)
Suppose 39*p - 37*p - 30 = 0. Suppose 2*n - q = 17, -18*n + p*n - 4*q = -20. Factor -n - 116/7*z - 64/7*z**2 - 4/7*z**3.
-4*(z + 1)**2*(z + 14)/7
Let z(v) be the second derivative of -v**6/30 - 27823*v**5/100 - 3440283*v**4/4 - 6378972145*v**3/6 + 1276620275*v**2 + v - 1710. Factor z(d).
-(d + 1855)**3*(5*d - 2)/5
Factor 23/2*j + 1/2*j**3 + 15/2 + 9/2*j**2.
(j + 1)*(j + 3)*(j + 5)/2
Factor 225/2 + 6*s**2 - 309/2*s.
3*(s - 25)*(4*s - 3)/2
Let l(x) be the third derivative of -x**6/180 + 11*x**5/45 + 25*x**4/12 - 504*x**2 - 1. Determine b, given that l(b) = 0.
-3, 0, 25
Let l(c) be the third derivative of c**6/360 - c**5/60 - 3*c**4/4 + 56*c**3/9 + 3280*c**2. Solve l(x) = 0 for x.
-7, 2, 8
Let f be (354/(-1180))/(-3 - (-5)/(75/42)). Factor -f*h**3 - 2 - 4*h**2 + 15/2*h.
-(h - 1)*(h + 4)*(3*h - 1)/2
Let f(c) be t