 the third derivative of 1/630*l**n - 1/180*l**5 + 0*l**3 - 1/180*l**6 - 27*l**2 + 0 + 0*l + 1/36*l**4. Factor j(g).
g*(g - 2)*(g - 1)*(g + 1)/3
Suppose 9*g = -78 + 96. Let x(j) be the third derivative of 1/6*j**3 + 0 + 5*j**g - 1/8*j**4 - 1/120*j**6 + 1/20*j**5 + 0*j. Factor x(o).
-(o - 1)**3
Suppose 52 = u - 49. Factor -6*j**3 + u*j + 16*j**2 - 4 - 213*j + 106*j.
-2*(j - 2)*(j - 1)*(3*j + 1)
Factor -2/11*q**2 + 24 + 58/11*q.
-2*(q - 33)*(q + 4)/11
Let p be ((-18)/(-27)*4)/((-2)/(-3)). Let i = -5 + 7. Factor b**p + 4*b**3 - 12*b**3 + 9*b**3 - 2*b**i.
b**2*(b - 1)*(b + 2)
Suppose g = -3*g + 12. Let x be ((-16)/6)/((-140)/30). Find d such that 0 + 4/7*d - x*d**g - 2/7*d**4 + 2/7*d**2 = 0.
-2, -1, 0, 1
Let g be 34858/(-116)*4/(-6). Let k = g - 199. Factor -4/3 - 1/3*d**2 + k*d.
-(d - 2)**2/3
Let s(t) be the first derivative of 3*t**4/20 + 66*t**3/5 + 1296*t**2/5 - 23328*t/5 + 2497. Factor s(h).
3*(h - 6)*(h + 36)**2/5
Suppose -48 + 20 = -5*b - 4*c, 5*c - 17 = -4*b. Factor b*z**3 + 3*z**2 - 6*z**4 + 2*z**5 + 3*z**2 + 7*z**3 - 17*z**3.
2*z**2*(z - 3)*(z - 1)*(z + 1)
Let w(z) = -z**2 - 7*z - 3. Let o(g) = -g**2 + 157*g - 429. Let t(i) = -o(i) - w(i). Factor t(r).
2*(r - 72)*(r - 3)
Let o(t) be the second derivative of -t**6/30 - 11*t**5/4 - 781*t**4/12 - 207*t**3/2 + 729*t**2 - 1269*t. Suppose o(f) = 0. Calculate f.
-27, -2, 1
Let x = 10060 - 10060. Let w(r) be the second derivative of 11*r + x + 1/10*r**4 + 7/15*r**3 - 4/75*r**6 + 2/5*r**2 - 4/25*r**5. Find h, given that w(h) = 0.
-2, -1/2, 1
Let s be 12/8 - (-1)/2. Let y be 2752/1935 - (s + 32/(-18)). Factor -y*x**4 - 14/5*x**3 - 2/5*x - 2*x**2 + 0.
-2*x*(x + 1)**2*(3*x + 1)/5
Let f(z) = 24*z**2 - 7083*z - 1995. Let k(m) = -47*m**2 + 14127*m + 3989. Let g(n) = -5*f(n) - 3*k(n). Factor g(v).
3*(v - 332)*(7*v + 2)
Let x be 80/72*27/36. Factor -x - z - 1/6*z**2.
-(z + 1)*(z + 5)/6
Let l be 1 - (421 - (-8 + -1)). Let y = 432 + l. Factor 0 + 2*d**2 - 2/3*d**y + 0*d.
-2*d**2*(d - 3)/3
Let y be 46/6 + ((-10)/(-3))/(-2). Let r(a) = -a**4 - 16*a**3 - 20*a**2 + 40*a - 6. Let d(w) = w**4 + w**3 + 1. Let h(n) = y*d(n) + r(n). Factor h(s).
5*s*(s - 2)**2*(s + 2)
Let y(u) be the first derivative of u**4/8 - 17*u**3/6 - 421*u**2/4 - 403*u/2 - 5972. Factor y(q).
(q - 31)*(q + 1)*(q + 13)/2
Let o be (-3)/21 - 60/(-28). Factor 4*g - 6 + 4576*g**2 - g**4 - 4*g**3 - g**4 - 4568*g**o.
-2*(g - 1)**2*(g + 1)*(g + 3)
Let z(j) be the third derivative of -j**6/30 - 41*j**5/3 - 1768*j**4 - 6936*j**3 + 1058*j**2. Factor z(p).
-4*(p + 1)*(p + 102)**2
Let c(q) be the first derivative of -q**6/6 + 13*q**5/12 - 5*q**4/8 - 12*q**2 - 2*q - 201. Let u(v) be the second derivative of c(v). Factor u(f).
-5*f*(f - 3)*(4*f - 1)
Let f = -8 + -1. Let y(u) = -31*u**3 + 12*u**2 + 4*u - 4. Let x(p) = 63*p**3 - 24*p**2 - 8*p + 9. Let v(d) = f*y(d) - 4*x(d). Factor v(t).
t*(3*t - 2)*(9*t + 2)
Let f(h) be the third derivative of 1/20*h**4 + 123*h**2 + 1/100*h**5 + 0*h + 0 - 3/2*h**3. Find i such that f(i) = 0.
-5, 3
Let b(l) be the first derivative of -4/3*l + 1/9*l**3 - 1/2*l**2 - 117. Factor b(t).
(t - 4)*(t + 1)/3
Let m(x) be the second derivative of 3 + 0*x**3 + 16*x - 2/35*x**6 + 2/35*x**5 + 2/147*x**7 + 0*x**4 + 0*x**2. Let m(r) = 0. Calculate r.
0, 1, 2
Let y(a) be the third derivative of -a**8/1176 + 109*a**7/735 - 43*a**6/84 + 107*a**5/210 - 2463*a**2. Factor y(c).
-2*c**2*(c - 107)*(c - 1)**2/7
Let n(q) be the second derivative of -q**6/30 + q**4/2 - 4*q**3/3 - 7*q**2/2 + 17*q. Let z(b) be the first derivative of n(b). Suppose z(c) = 0. What is c?
-2, 1
Let j(b) be the first derivative of -11*b**6/120 - 3*b**5/10 - b**4/8 - 74*b**3/3 + 57. Let h(k) be the third derivative of j(k). Factor h(f).
-3*(f + 1)*(11*f + 1)
Let j(s) be the third derivative of -59*s**2 + 5/24*s**4 - 5/12*s**3 + 0 + 7/24*s**5 + 0*s + 1/12*s**6. Solve j(v) = 0.
-1, 1/4
Let d(b) = 19*b**3 + 125*b**2 - 875*b + 1871. Let x(z) = -165*z**3 - 1125*z**2 + 7875*z - 16840. Let m(y) = 35*d(y) + 4*x(y). Factor m(n).
5*(n - 15)*(n - 5)**2
Let d(f) be the first derivative of f**5/210 + 29*f**4/42 + 841*f**3/21 - 7*f**2/2 - 76. Let a(w) be the second derivative of d(w). Factor a(h).
2*(h + 29)**2/7
Let r(j) be the second derivative of -j**6/6 + 5*j**5/4 + 65*j**4/12 + 35*j**3/6 + 2092*j - 2. Let r(a) = 0. What is a?
-1, 0, 7
Let n(k) be the first derivative of -2/3*k**3 - 1352*k - 99 - 52*k**2. Factor n(a).
-2*(a + 26)**2
Factor 1/5*u**4 + 84/5 - 124/5*u - 14/5*u**3 + 13*u**2.
(u - 7)*(u - 3)*(u - 2)**2/5
Let z(i) be the third derivative of -i**5/20 + 511*i**4/24 + 57*i**3 + 3*i**2 + 43. Find y, given that z(y) = 0.
-2/3, 171
Let j = 150522/43939 - -18/6277. Find g such that -33/7*g**3 + 24/7*g**2 + 0 - j*g**4 - 3/7*g**5 + 36/7*g = 0.
-6, -2, -1, 0, 1
Let w be 10 - ((-48)/(-8) - -4). Let n(m) be the first derivative of 2/7*m**3 + w*m**2 + 9 - 9/35*m**5 + 3/28*m**4 + 0*m. Solve n(x) = 0.
-2/3, 0, 1
Let l(m) be the first derivative of -28 - 3/4*m**4 + m**3 + 60*m + 24*m**2. Find j, given that l(j) = 0.
-2, 5
Let g(d) = 112*d**2 - 4*d + 5. Let v be g(4). Let y = -1779 + v. Find u, given that 10/7*u + 2/7*u**y - 12/7 = 0.
-6, 1
Let m be (-7)/4 - -2 - (2*10 - 193545/7820). Suppose -99/8*v**3 - 51/8*v**4 + 0*v - 9/8*v**m + 3/2 - 69/8*v**2 = 0. What is v?
-2, -1, 1/3
Let l(b) = -15*b**2 + 2021*b - 2034. Let a(p) = 38*p**2 - 4041*p + 4073. Let h(w) = -2*a(w) - 5*l(w). Factor h(u).
-(u - 1)*(u + 2024)
Let 4/5*r**2 - 1428/5 + 1424/5*r = 0. What is r?
-357, 1
Suppose 4*w - 110 - 82 = 0. Factor 24 + 5*z**4 + 27*z**2 + 160*z - 17*z**2 - 40*z**3 + w + 33.
5*(z - 7)*(z - 3)*(z + 1)**2
Let o(d) be the first derivative of d**5/2 + 45*d**4/8 + 65*d**3/6 - 45*d**2/4 - 35*d + 1049. Determine q so that o(q) = 0.
-7, -2, -1, 1
Let f be 3 + ((-36)/24 + 2)*0 - (-1)/(-1). Find q, given that -10/17*q**3 + 10/17*q - 2/17*q**4 + 30/17*q**f - 28/17 = 0.
-7, -1, 1, 2
Let j(m) = m**3 - 5*m**2 - m + 5. Let o(s) = -8*s + 61. Let h be o(7). Let u be j(h). Solve 0 - 2/15*p**4 + 4/15*p**2 - 2/15*p**3 + u*p = 0.
-2, 0, 1
Let q = -1712 + 1718. Suppose -4*z + 5*g + 26 = 0, -2*z + 4*g + q = -10. Solve 1/4*u**z + 5/4 - 3/2*u**2 + u - u**3 = 0 for u.
-1, 1, 5
Let f be (120935/13225 + -9)*(-11)/2. Let h = 3/529 - f. What is y in h*y + 0 + 4/5*y**2 = 0?
-1, 0
Let h(p) be the second derivative of -p**4/12 + 25*p**3/6 - 23*p**2 + 1914*p. Factor h(s).
-(s - 23)*(s - 2)
Let n be (924/176)/((-2)/24). Let o = n - -65. What is d in -6/5*d - 3*d**3 + 0 - 21/5*d**o = 0?
-1, -2/5, 0
Let k(v) be the first derivative of -2*v**5/45 + 3*v**4/2 - 130*v**3/9 + 169*v**2/9 + 4206. Solve k(p) = 0 for p.
0, 1, 13
Suppose -28*z + 84*z + 107*z = -22*z. Suppose z - 1/2*m - 1/2*m**4 + 1/2*m**2 + 1/2*m**3 = 0. What is m?
-1, 0, 1
Let i(x) be the first derivative of -2*x**3/21 - 167*x**2/7 + 400*x - 6301. Factor i(r).
-2*(r - 8)*(r + 175)/7
Let c = 210 + -213. Let p(a) = -2*a**3 + 79*a**2 + 3. Let u(l) = 4*l**3 - 80*l**2 - 4. Let f(x) = c*u(x) - 4*p(x). Factor f(v).
-4*v**2*(v + 19)
Let j(w) be the third derivative of w**8/2016 - w**7/140 + w**6/40 + w**5/90 - w**4/6 + 629*w**2 + w. Factor j(c).
c*(c - 6)*(c - 2)**2*(c + 1)/6
Let -312*f**2 + 20*f**4 + 6*f**2 - 64*f**2 - 100 - 45*f**3 + 284*f + 21*f + 190*f = 0. What is f?
-4, 1/4, 1, 5
Suppose -7 = -2*s + 2*i + 3, 2*s + i - 25 = 0. Let q be (12/s)/(117/78). Suppose -1/5*u**3 - u**2 - q - 8/5*u = 0. Calculate u.
-2, -1
Factor -196249/3 - 1/3*j**2 + 886/3*j.
-(j - 443)**2/3
Let b(m) be the third derivative of m**6/540 + 431*m**5/270 + 46655*m**4/108 + 46225*m**3/27 + 12825*m**2. What is n in b(n) = 0?
-215, -1
Suppose 259*d - 1249 = -731. Let k(j) be the third derivative of -7*j**2 + 0*j + 1/15*j**5 - 2 - d*j**4 + 24*j**3. Factor k(w).
4*(w - 6)**2
Suppose 0 = -3454*u - 631 + 10993. Let -49/9*j + 14/9*j**2 - 1/9*j**u + 0 = 0. What is j?
0, 7
Let o(j) be the third derivative of -j**6/120 - j**5/4 + 11*j**4/8 - 17*j**3/6 - 775*j**2. Factor o(i).
-(i - 1)**2*(i + 17)
Let o(t) be the second derivative of -3*t**5/40 + 5*t**4/4 - 27*t**3/4 + 27*t**2/2 - 1234*t. Factor o(c).
-3*(c - 6)*(c - 3)*(c - 1)/2
Let n(g) = 9*g**5 + 11*g**4 - 33*g**3 + 13*g**2 - 4*g - 4. Let a(c) = 2*c**5 - c**4 - c**2 - c - 1. Let t(l) = -4*a(l) + n(l). Let t(d) = 0. Calculate d.
-17, 0, 1
Factor 126/5 - 1/5*n**2 + n.
-(n -