 l(g) be the second derivative of -25/3*g**3 - 5/12*g**4 + 0 + 18*g + 0*g**2. Factor l(i).
-5*i*(i + 10)
Let l(m) = m**4 + m**3 - 1. Let g(c) be the second derivative of 2*c**6/15 + 3*c**5/5 - c**4 - c**2 + 17*c. Let y(f) = 2*g(f) - 4*l(f). Factor y(n).
4*n**2*(n - 1)*(n + 6)
Let o(d) be the second derivative of d**4/54 - 14*d**3/27 - 176*d**2/9 + 56*d + 10. Solve o(c) = 0 for c.
-8, 22
Let -388 + 571*l + 24*l**2 + 8*l**3 + 6*l**3 - 11*l**3 - 44 - 607*l = 0. Calculate l.
-6, 4
Factor -389*y**5 - 60800*y**2 - 2400*y**3 + 779*y**5 - 124712*y + 300*y**4 - 414720 - 395*y**5 - 163288*y.
-5*(y - 36)**2*(y + 4)**3
Let z = 13159/10 + -1315. Let d = 253/790 - -30/79. Factor -d*h**2 + z*h - 1/5.
-(h - 1)*(7*h - 2)/10
Let n(p) be the third derivative of 1/72*p**4 - 15*p**2 + 0*p + 0*p**3 + 1 - 1/270*p**5 - 1/1080*p**6. Solve n(a) = 0.
-3, 0, 1
Let x be 6/(-12) + (-26)/(-4). Factor x*b**3 - 2*b - 10*b - 16*b**2 + 4*b**4 + 12*b**4 + 4*b**5 + 2*b**3.
4*b*(b - 1)*(b + 1)**2*(b + 3)
Determine n so that -118*n**2 - 151*n - 624 + 12*n + 115*n**2 + 33*n - 62*n = 0.
-52, -4
Suppose 2*b = 4*s + 92, -3*b + 3*s + 78 = -60. Factor 13872*l + 157216 + 146*l**2 + 4*l**3 + 56*l**2 + 157*l**2 + b*l**2 + 3*l**2.
4*(l + 34)**3
Let f(p) = p**3 + 7*p**2 - 4*p - 8. Let l be f(-6). Factor -71*y - l*y - 161*y - 34*y - 5*y**3 + 80*y**2 - 2*y.
-5*y*(y - 8)**2
Let l(o) = -o**3 - 4*o + 7. Let q be l(0). Let k be (q - (-35)/28) + 1/(-4). Factor k + 272*g**2 - 270*g**2 - 6*g - 2*g.
2*(g - 2)**2
Let w(y) be the second derivative of -5*y**4 + 1292*y**3/3 + 2144*y**2 + 10019*y. Determine k, given that w(k) = 0.
-8/5, 134/3
Suppose -6*v + 6*v = 3*v. Let f be (-39)/221*(6/(-9) - v). Factor -f*r - 4/17*r**2 + 4/17 + 2/17*r**3.
2*(r - 2)*(r - 1)*(r + 1)/17
Factor -2/11*w**2 - 12510002/11 - 10004/11*w.
-2*(w + 2501)**2/11
Let i(r) be the third derivative of -r**6/2340 + r**5/260 - r**4/78 + 7*r**3 - 18*r**2 + 1. Let f(g) be the first derivative of i(g). Factor f(h).
-2*(h - 2)*(h - 1)/13
Suppose -5*d = -4*z + 317, -1 = 5*d - 16. Let o be 10*(7 + 1 - (0 + 6)). Factor 85*f**4 - o - z*f**2 - 100*f - 22*f**2 + 100*f**3 + 40*f**4.
5*(f - 1)*(f + 1)*(5*f + 2)**2
Let p = 26310 - 26308. Let u(x) be the third derivative of 25*x**p + 0 - 1/4*x**3 + 1/60*x**5 + 1/60*x**6 - 1/12*x**4 + 0*x + 1/420*x**7. Factor u(r).
(r - 1)*(r + 1)**2*(r + 3)/2
Determine d so that 472/3 + 88/3*d**2 - 1676/9*d - 4/9*d**3 = 0.
1, 6, 59
Let m(y) be the second derivative of y**6/540 + y**5/135 + y**4/108 - 83*y**2/2 + 43*y. Let w(h) be the first derivative of m(h). Factor w(o).
2*o*(o + 1)**2/9
Suppose -6*c**3 + 14*c**4 + 0 - 64/3*c**2 + 16/3*c**5 + 8*c = 0. Calculate c.
-2, 0, 3/8, 1
Factor -342/5 + 3/5*p**2 + 33*p.
3*(p - 2)*(p + 57)/5
Suppose -5*t - 1 = g, 4*t = 2*g + 2*g - 20. Let w(q) be the second derivative of 1/3*q**3 + 14*q + 1/20*q**5 - 1/4*q**g + 0 + 0*q**2. Let w(n) = 0. Calculate n.
0, 1, 2
Let l(c) be the third derivative of 5*c**8/168 + 43*c**7/42 + 7*c**6/8 - 2*c**2 + 212. Factor l(x).
5*x**3*(x + 21)*(2*x + 1)
Let d(j) be the second derivative of 0 - 1/4*j**5 + 5/2*j**4 + 72*j - 30*j**2 - 25/6*j**3. Find n such that d(n) = 0.
-1, 3, 4
Let j = -94363 + 94366. Factor 0*y + 5/7*y**j + 0 + 2/7*y**2 + 1/7*y**5 + 4/7*y**4.
y**2*(y + 1)**2*(y + 2)/7
Solve 67*x - 2*x**4 + 300 + 318*x**2 + 97*x + 446*x + 6*x**3 = 0 for x.
-10, -1, 15
Let m = -25766 - -25768. Let p(g) be the first derivative of -1/8*g**4 - 34 - 1/3*g**3 + 0*g - 1/4*g**m. Suppose p(x) = 0. What is x?
-1, 0
Let t = 8130 + -8124. Let h(a) be the second derivative of 85/6*a**3 + 1/6*a**t + 85/12*a**4 + 0 + 7/4*a**5 + 15*a**2 - 31*a. Factor h(w).
5*(w + 1)**2*(w + 2)*(w + 3)
Suppose -16 = 3*f - 5*k, -32*f + 27*f = -3*k. Let m(v) be the third derivative of -2/3*v**f + 0*v - 1/4*v**4 + 12*v**2 + 0 - 1/30*v**5. Factor m(h).
-2*(h + 1)*(h + 2)
Let c(s) = 99*s + 1287. Let p be c(-13). Let i(f) be the first derivative of 0*f**3 + 1/14*f**6 + p*f**2 + 6/35*f**5 + 0*f + 3/28*f**4 - 10. Factor i(x).
3*x**3*(x + 1)**2/7
Let y(m) be the second derivative of m**5/36 - 25*m**4/6 + 250*m**3 + 14*m**2 - 6*m + 6. Let d(q) be the first derivative of y(q). Factor d(k).
5*(k - 30)**2/3
Let k(u) = 3*u**2 - 89*u - 254. Let a(p) = 4*p**2 - 89*p - 253. Let l(m) = 4*a(m) - 5*k(m). Determine b so that l(b) = 0.
-86, -3
Let m(x) be the third derivative of x**8/1680 - 4*x**7/525 - 13*x**6/75 - 88*x**5/75 - 62*x**4/15 - 128*x**3/15 - 4688*x**2. What is d in m(d) = 0?
-2, 16
Let d(a) be the third derivative of 0*a**3 + 0 + 3/260*a**6 - 1/13*a**4 + 2/39*a**5 - 49*a**2 + 0*a - 4/273*a**7 + 1/728*a**8. Let d(f) = 0. What is f?
-1, 0, 2/3, 1, 6
Factor -1/4*g + 1/4*g**3 + 9/4*g**2 - 9/4.
(g - 1)*(g + 1)*(g + 9)/4
Factor 435 + 376 - 811 + 3*p**2 + 381*p.
3*p*(p + 127)
Let j = -325 - -319. Let f be j + ((-1120)/(-88) - 6). Factor 2/11*m**3 + 6/11*m + 0 + f*m**2.
2*m*(m + 1)*(m + 3)/11
Suppose 33/2*m**5 - 210*m**2 + 135*m**3 + 192 + 221/2*m**4 - 244*m = 0. Calculate m.
-48/11, -2, 2/3, 1
Let l be (6324/187 - 13) + (-180)/12. Factor -32/11 + 10/11*d**3 - l*d**2 + 104/11*d.
2*(d - 4)*(d - 2)*(5*d - 2)/11
Let j = 272 + -270. Let q be (2*4*(-27)/54)/(-3). Factor -1/3*r**j + q*r + 0.
-r*(r - 4)/3
Suppose 3*r + 2081 + 247 = 0. Let g = r - -779. Solve k**g + 0 + 1/4*k**4 + k**2 + 0*k = 0 for k.
-2, 0
Let j(n) = -4*n + 48. Let w be j(13). Let g be w*(27/18 - 2). Let 0*d + 10/3*d**3 + 10/3*d**g - 5/2*d**4 + 0 = 0. Calculate d.
-2/3, 0, 2
Factor -4/3*a**2 - 50/9 - 80/9*a - 2/9*a**4 + 16/9*a**3.
-2*(a - 5)**2*(a + 1)**2/9
Let i(j) = 8*j**3 + 245*j**2 + 14890*j - 15122. Let w(l) = -17*l**3 - 490*l**2 - 29781*l + 30243. Let g(c) = -15*i(c) - 7*w(c). Determine z so that g(z) = 0.
-123, 1
Suppose -4*s - 24 = 4*a, 38*s = a + 43*s + 38. Suppose -3*c - 36/5 + 2/5*c**a + 1/5*c**3 = 0. Calculate c.
-3, 4
Let f(j) = -j**3 + 2*j**2 - j. Let q(b) = -14*b**3 + 78*b**2 + 384*b. Let r(o) = 12*f(o) - q(o). Factor r(u).
2*u*(u - 33)*(u + 6)
Let d(i) be the third derivative of 1/105*i**7 + 0*i**4 + 1/10*i**5 + 0*i**3 - 36*i**2 - 1/15*i**6 + 0 + 0*i. Factor d(y).
2*y**2*(y - 3)*(y - 1)
Let p(l) be the second derivative of -4*l**6/45 + l**5 + 71*l**4/72 - 19*l**3/12 + 2*l**2/3 + 1052*l. Solve p(y) = 0 for y.
-1, 1/4, 8
Let q(l) be the first derivative of -l**8/1008 + l**6/180 - l**4/72 - 107*l**2/2 - 93. Let g(w) be the second derivative of q(w). Suppose g(c) = 0. Calculate c.
-1, 0, 1
Let s(b) be the second derivative of -9*b**3 - 13 - 4/15*b**6 - b - 9*b**4 - 27/10*b**5 + 0*b**2. Factor s(u).
-2*u*(u + 3)**2*(4*u + 3)
Let u be (230 + 15)/((-65*(-11)/(-1650))/(3/(-9))). Factor -2/13*t**2 - u - 140/13*t.
-2*(t + 35)**2/13
Factor 988/3*a**2 + 1/3*a**4 + 417 - 146/3*a**3 - 698*a.
(a - 139)*(a - 3)**2*(a - 1)/3
Let d(t) be the third derivative of t**7/1155 + 17*t**6/330 + 32*t**5/33 + 128*t**4/33 + 4*t**2 - 79*t. Factor d(w).
2*w*(w + 2)*(w + 16)**2/11
Suppose 0 = 8*y - 14 - 18. Suppose k = 5*l + 25, l - 2 - y = -2*k. Suppose 4/13*p**3 + 0*p**2 + 0 - 2/13*p + 0*p**4 - 2/13*p**k = 0. Calculate p.
-1, 0, 1
Let p be (-33)/(-27) + (1 - 2). Let v be (0 - 260/36) + ((-2)/4)/(178/(-3204)). Factor 14/9 + p*h**2 + v*h.
2*(h + 1)*(h + 7)/9
Let b be ((-96)/(-18))/8*-99. Let h be (-1)/10 - 33/b. Factor h*w**2 - 4/5 - 2/5*w.
2*(w - 2)*(w + 1)/5
Determine f so that -1/4*f**2 + 42*f - 83 = 0.
2, 166
Suppose 0 = -4*w - 3*s - 80, -5*w = 40*s - 43*s + 127. Let h be 2*(-1)/(-5)*(-46)/w. Let 1/10*z**3 - h + 3/10*z**2 - 3/5*z = 0. Calculate z.
-4, -1, 2
Let d(t) be the second derivative of t**6/6 - 23*t**5/4 + 395*t**4/12 - 95*t**3/2 - 4282*t. Factor d(r).
5*r*(r - 19)*(r - 3)*(r - 1)
Let v(q) be the second derivative of q**6/60 + 141*q**5/10 + 19881*q**4/4 + 934407*q**3 + 395254161*q**2/4 - 326*q - 2. Factor v(a).
(a + 141)**4/2
Let v(u) be the third derivative of u**7/280 - 29*u**6/32 + 333*u**5/5 - 162*u**4 + 12*u**2 - 7. Let v(f) = 0. Calculate f.
0, 1, 72
Suppose -2*y = 4*k - 5 - 1, -5*k - 2*y + 5 = 0. Let d = k + 8. Determine a so that -16*a - 6 + 4*a**2 + 8*a**2 - d*a**2 + 3*a = 0.
-2/5, 3
Let v be 78/20 + (-52)/13000*-25. Let g(r) be the second derivative of 3*r + 0*r**2 + 1/4*r**4 + 3/2*r**3 + v. Find j such that g(j) = 0.
-3, 0
Let m(k) be the second derivative of 5/12*k**4 - 3 - 6*k + 165/2*k**2 - 85/3*k**3. Factor m(r).
5*(r - 33