*u**6/40 + 3*u**5/10 - 5*u**4/8 + 3*u**3/4 + 44*u**2 - u. Factor j(s).
3*(s - 3)*(s - 1)**3/2
Let d(s) = -4*s - 1. Let t(b) = b**3 - 7*b**2 - 17*b + 9. Let r(y) = -6*d(y) + t(y). Factor r(w).
(w - 5)*(w - 3)*(w + 1)
Let o(t) = -2*t**2 - 4*t. Let a = -2 - 0. Let p be o(a). Factor 0*m - 1/2*m**4 - 1/2 + p*m**3 + m**2.
-(m - 1)**2*(m + 1)**2/2
Let x(d) be the second derivative of -d**5/10 + 15*d**4/2 - 56*d**3 + 164*d**2 + 528*d. Let x(n) = 0. Calculate n.
2, 41
Let l = 45 - 43. Factor -4 + l*i + 2*i**3 + 2*i + 4*i**2 - 3*i**3 - 3*i**3.
-4*(i - 1)**2*(i + 1)
Let 40*h**2 - 16*h**2 + 5*h**4 + 100*h**3 + 45*h**2 + 26*h**2 = 0. Calculate h.
-19, -1, 0
Suppose -4*n - 237*u = -239*u - 16, 4*u + 26 = 5*n. Factor 1/2*j - j**n + 3/4 - 1/2*j**3 + 1/4*j**4.
(j - 3)*(j - 1)*(j + 1)**2/4
Let i be (-4)/(-3)*((-204)/24 - -10). Factor 4/17 + 2/17*l - 2/17*l**i.
-2*(l - 2)*(l + 1)/17
Let b(y) be the third derivative of -y**7/1050 + y**6/75 - 7*y**5/300 + 173*y**2 + 2. Factor b(z).
-z**2*(z - 7)*(z - 1)/5
Let l(v) = 3*v**2 - 9*v - 26. Let h(a) = -7*a**2 + 19*a + 50. Let x(p) = -4*h(p) - 10*l(p). Factor x(d).
-2*(d - 10)*(d + 3)
Let l(h) be the first derivative of 3/50*h**5 + 2*h + 3/5*h**2 + 7/20*h**4 + 7/10*h**3 + 2. Let y(w) be the first derivative of l(w). What is z in y(z) = 0?
-2, -1, -1/2
Let t be 2/21*364/60. Let z = t - -1/45. Factor 0 + 3/5*d**2 - z*d**3 + 0*d.
-3*d**2*(d - 1)/5
Let g(d) be the first derivative of -2*d**3/27 - 4*d**2/9 - 2*d/3 - 32. Let g(a) = 0. Calculate a.
-3, -1
Let t be (-16)/(-6) - 41/((-2583)/84). Suppose 0*z**2 + 4/7*z + 2/7 - 4/7*z**3 - 2/7*z**t = 0. What is z?
-1, 1
Let x = 34/97 + 1682/1843. Factor -x + 80/19*v + 14/19*v**2.
2*(v + 6)*(7*v - 2)/19
Let f(t) be the third derivative of -t**6/32 + 55*t**5/48 - 15*t**4/16 - 81*t**2. Let f(h) = 0. What is h?
0, 1/3, 18
Let p = 140082/5 + -28014. Factor 6/5*y**2 - p - 34/5*y.
2*(y - 6)*(3*y + 1)/5
What is r in -107*r**4 + 629*r**3 + 1315*r**3 + 11*r**4 + 2*r**5 - 12*r**4 - 11664*r**2 = 0?
0, 18
Let r(s) be the second derivative of -6*s + 1/12*s**3 + 1/8*s**4 - 1/40*s**5 + 0 - 3/4*s**2. What is o in r(o) = 0?
-1, 1, 3
Suppose -3*k**3 - 525*k + 75*k**2 + 642 + 377 + 106 = 0. What is k?
5, 15
Suppose 4*d + 51 = 5*l - 70, -1 = -d. Let s be (2 - 118/l)*-10. Determine b, given that 56/5*b + 8/5 + 138/5*b**2 + 8*b**4 + s*b**3 = 0.
-2, -1/2, -2/5
Let a(u) be the third derivative of -u**8/4032 - u**7/252 - u**6/48 + 7*u**5/60 + 2*u**2. Let f(t) be the third derivative of a(t). Factor f(h).
-5*(h + 1)*(h + 3)
Let d(o) be the first derivative of -o**6/9 - 2*o**5/5 + o**4/6 + 2*o**3/3 + 165. Find g such that d(g) = 0.
-3, -1, 0, 1
Let g be 1*33/18 + (-3)/(-18). Factor 3*x**3 - g*x**3 + 4*x**3 - 8*x - 10 - 7*x.
5*(x - 2)*(x + 1)**2
Let u = 127 + -244. Let b be (-2)/(-6) + (-33)/u. Suppose 154/13*o**4 + 98/13*o**5 - 64/13*o - b - 146/13*o**2 - 34/13*o**3 = 0. Calculate o.
-1, -2/7, 1
Let l(m) be the third derivative of -m**8/28 + 3*m**7/70 + m**6/8 - 3*m**5/20 - m**4/8 - 31*m**2 - 3*m. Suppose l(j) = 0. What is j?
-1, -1/4, 0, 1
Factor -6/5*c**3 + 0 + 0*c + 56/5*c**2 - 2/5*c**4.
-2*c**2*(c - 4)*(c + 7)/5
Let b = 28/527 + 522/10013. Let 12/19*o**2 - 18/19*o - b*o**3 + 8/19 = 0. Calculate o.
1, 4
Solve 0 + 5/2*v**2 + 5/4*v - 5/2*v**4 + 0*v**3 - 5/4*v**5 = 0.
-1, 0, 1
Factor 49/4 + 1/4*z**2 + 7/2*z.
(z + 7)**2/4
Suppose -2*g - 2*r + 28 = 2*r, g = 2*r + 6. Let n be 29/(-22) - 15/g*-1. Suppose n*k**4 + 2/11*k**2 + 0*k + 0 + 4/11*k**3 = 0. What is k?
-1, 0
Let j(y) be the third derivative of -y**8/1512 - 2*y**7/315 - y**6/45 - y**5/27 - y**4/36 - 254*y**2. Factor j(z).
-2*z*(z + 1)**3*(z + 3)/9
Let b(t) = t**3 - 17*t**2 - 196*t - 98. Let p be b(25). Factor 3/7*z**p - 2/7*z + 0 - 1/7*z**3.
-z*(z - 2)*(z - 1)/7
Factor -1/5*f**3 - 1/5*f**2 + 1/5*f + 0 + 1/5*f**4.
f*(f - 1)**2*(f + 1)/5
Let q be (1/(-5) - -2) + 1/5. Find z such that 5 + 10*z**q - 8*z - 7*z + 0*z = 0.
1/2, 1
Let w(z) be the second derivative of -z**7/399 + z**6/57 + 4*z**5/95 - 2*z**4/19 - 81*z. Find x, given that w(x) = 0.
-2, 0, 1, 6
Let m(z) = z**2 - 13. Let g be m(4). Factor 30*q**4 + 0*q**3 - 20*q**4 + 6*q**5 + q**2 + 2*q**3 - g*q**2.
2*q**2*(q + 1)**2*(3*q - 1)
Suppose 8 = 9*q - 10. Factor -2 - 2*y**q - 16*y + 13 - 25.
-2*(y + 1)*(y + 7)
Let x(y) = 3*y**2 - y + 2. Let k(c) = 8*c**2 - 220*c - 2908. Let u(f) = -k(f) + 4*x(f). Factor u(g).
4*(g + 27)**2
Let j(d) be the second derivative of d**6/165 - 5*d**5/22 + 47*d**4/66 - 23*d**3/33 + 16*d + 1. What is g in j(g) = 0?
0, 1, 23
Let t(k) be the second derivative of k**6/2 + 7*k**5/2 + 85*k**4/12 + 5*k**3 - 79*k - 1. Factor t(p).
5*p*(p + 1)*(p + 3)*(3*p + 2)
Let o(n) be the third derivative of -1/6*n**3 + 0 - 8*n**2 + 0*n - 169/60*n**5 + 13/12*n**4. Solve o(l) = 0.
1/13
Determine q, given that 78*q + 45 - 406*q**2 - 189 + 403*q**2 = 0.
2, 24
Let x(u) = 6*u**3 - 618*u**2 - 414*u + 204. Let t(i) = -5*i**3 + 619*i**2 + 413*i - 203. Let p(m) = 3*t(m) + 4*x(m). Factor p(b).
3*(b - 69)*(b + 1)*(3*b - 1)
Let g = -188 - -13161/70. Let n(c) be the third derivative of 0*c + 1/735*c**7 + 0*c**4 - g*c**6 + 0*c**3 + 6*c**2 + 3/70*c**5 + 0. Factor n(s).
2*s**2*(s - 3)**2/7
Let d(s) be the third derivative of 0*s - 5*s**2 + 0 - 11/27*s**3 - 1/270*s**5 - 1/9*s**4. Find h such that d(h) = 0.
-11, -1
Let g(b) be the first derivative of -7/40*b**4 + 1 + 1/15*b**3 + 1/60*b**6 + 0*b**5 + 3/5*b**2 - 4/5*b. Determine u, given that g(u) = 0.
-2, 1, 2
Let z(b) be the first derivative of -b**5/25 + 9*b**4/20 - 23*b**3/15 + 3*b**2/10 + 36*b/5 + 209. Factor z(p).
-(p - 4)*(p - 3)**2*(p + 1)/5
Suppose 0*c - 216 = -2*c. Let j = c - 106. Determine f, given that 1/2 + 3*f**2 + 1/2*f**4 + j*f**3 + 2*f = 0.
-1
Let g(w) be the third derivative of 0*w**5 + 0*w + 0 - 5*w**2 + 0*w**6 + 1/280*w**8 + 0*w**3 + 0*w**4 - 1/350*w**7. Factor g(h).
3*h**4*(2*h - 1)/5
Let l(b) be the first derivative of b**6/2 + 6*b**5 + 99*b**4/4 + 36*b**3 - 78. Factor l(y).
3*y**2*(y + 3)**2*(y + 4)
Factor 0*w**4 + 0 + 0*w**2 + 0*w - 4/7*w**3 + 1/7*w**5.
w**3*(w - 2)*(w + 2)/7
Let h(b) be the third derivative of -b**7/2520 - b**6/144 + b**5/20 - b**4/8 - 4*b**2. Let d(t) be the second derivative of h(t). What is r in d(r) = 0?
-6, 1
Determine d, given that -4/3*d**4 - 1/3*d**3 + 16*d**2 + 76/3*d + 16/3 = 0.
-2, -1/4, 4
Let p = 3 + 1. Let z be (-54)/45*(-5)/2. What is s in -p*s**3 + 9*s**z + 5*s**2 + 5*s**3 - s**2 = 0?
-2/5, 0
Let v be 4 - (-7)/(7/(-2)). Suppose 12*u**4 - 5*u**2 - u**v + 385*u**3 - 364*u**3 = 0. Calculate u.
-2, 0, 1/4
Let x be (11676/(-315) - -36)/((-2)/54). Determine z so that -49/5*z**3 + 273/5*z**2 - x*z + 4 = 0.
2/7, 5
Suppose 2*b - 3*z = -2*b + 18, 2*b - 2*z - 10 = 0. Let u be 297/22 - 12 - 3/4. Factor 0*i - u*i**2 + 0 + 3/4*i**b.
3*i**2*(i - 1)/4
Solve -44/5*c**4 + 0 - 36*c**3 + 4*c + 204/5*c**2 = 0 for c.
-5, -1/11, 0, 1
Let k(x) be the second derivative of x**5/20 + 7*x**2/2 - 3*x. Let i be k(0). Factor -g**4 + 2*g**2 + i*g**4 - 8*g**4.
-2*g**2*(g - 1)*(g + 1)
Suppose 660*z - 8 - 42 = 635*z. Factor -7/2*y + 3/2 - 1/2*y**3 + 5/2*y**z.
-(y - 3)*(y - 1)**2/2
Let i(d) be the first derivative of -4/9*d**3 + 1/3*d**2 + 0*d - 1/9*d**6 + 0*d**4 + 4/15*d**5 - 31. Suppose i(c) = 0. What is c?
-1, 0, 1
Let h(i) be the first derivative of 1/6*i**3 - 1/2*i**2 + 0*i - 17. Find o, given that h(o) = 0.
0, 2
Let h(f) = f**2 - 17*f + 76. Let v be h(9). Let a(b) be the first derivative of 1/3*b**3 + 1/3*b - 1/2*b**2 - 1/12*b**v - 1. Factor a(p).
-(p - 1)**3/3
Suppose -3*y + 51 = 2*l, 0 = -2*y + 7*l - 3*l + 18. Factor -y*m**2 + 20 - 7*m**2 - 6*m**2 - 7*m**2 + 60*m.
-5*(m - 2)*(7*m + 2)
Suppose 3*w - 2 = -8. Let l be w - -6 - 12/(-9). Factor 8/3 + 10/3*d**2 - l*d - 2/3*d**3.
-2*(d - 2)**2*(d - 1)/3
Suppose -4*h + 28 = -32. Let y = -12 + h. Let -6*t**y + 9*t**3 - 3*t**2 + 0*t**2 = 0. What is t?
0, 1
Find o, given that 5*o**4 - 15*o**2 - 44 + 54 + 160*o - 110 - 50*o**3 = 0.
-2, 1, 10
Factor -4 - 41*x**2 + 26*x**2 - 2 + 21*x.
-3*(x - 1)*(5*x - 2)
Let z(p) be the third derivative of -p**7/11340 - p**6/405 - 4*p**5/135 - p**4/24 + 8*p**2. Let b(k) be the second derivative of z(k). Factor b(u).
-2*(u + 4)**2/9
Let l(o) = -113*o - 12091. Let x be l(-107). Find y such that x + 2*y**2 + 1/2*y**3 + 3/2*y = 0.
-3, -1, 0
Suppose 3*c - 8*c = -15. Let d(b