/336 - 11*x**7/42 + 121*x**6/12 - 1331*x**5/6 + 73205*x**4/24 - 161051*x**3/6 + 26*x**2. Factor n(m).
(m - 11)**5
Let q = -2037/2 - -1019. Determine u so that -3/2*u + 1 + q*u**2 = 0.
1, 2
Let w(i) be the first derivative of -5*i**3/3 + 210*i**2 - 415*i + 817. Factor w(y).
-5*(y - 83)*(y - 1)
Suppose 862 = 20*c + 802. Factor 15/2*m - 8*m**2 + 3/2*m**c + 9.
(m - 3)**2*(3*m + 2)/2
Let m(f) be the first derivative of 4*f**3/27 - 34*f**2/9 - 233. Factor m(o).
4*o*(o - 17)/9
Let c be 15/6*5/25. Let o = -25 - -59/2. Factor -7/2*x - o*x**3 - 15/2*x**2 - c.
-(x + 1)*(3*x + 1)**2/2
Let m be (-4)/20 + (-3)/((-45)/(-2217)). Let c = m + 148. Let c + 1/3*u - 1/2*u**2 + 1/6*u**3 = 0. What is u?
0, 1, 2
Let q(b) be the first derivative of -5*b**6/6 + 3*b**5 + 35*b**4/4 - 35*b**3/3 - 45*b**2 - 40*b + 18. Factor q(o).
-5*(o - 4)*(o - 2)*(o + 1)**3
Let h be 21/(-35) - 3534/(-40). Let p = h - 87. Factor -3/4*a**5 - p*a**4 + 3/4*a**3 + 0 + 0*a + 3/4*a**2.
-3*a**2*(a - 1)*(a + 1)**2/4
Let p(g) = -14*g**3 - 13*g**2 + 64*g - 69. Let x(t) = 18*t**3 + 14*t**2 - 64*t + 68. Let f(y) = 4*p(y) + 3*x(y). Factor f(c).
-2*(c - 2)**2*(c + 9)
Let a be (1 - -3)*2/540*9. Factor -2/15*u**2 - a*u**3 + 8/15 + 8/15*u.
-2*(u - 2)*(u + 1)*(u + 2)/15
Factor 176/5*c + 308/5*c**3 + 32/5 + 354/5*c**2 + 98/5*c**4.
2*(c + 1)**2*(7*c + 4)**2/5
Let w(q) = 43*q**2 + 517*q + 12. Let i be w(-12). Let z = 391/1344 + -1/192. Let 0*h**2 - z*h**3 + i + 8/7*h = 0. What is h?
-2, 0, 2
Let r be 2*-3*(-14)/12. Factor 11*v**2 - 48*v**3 - r*v**4 - 23*v**2 - 21*v**4 + 8*v.
-4*v*(v + 1)**2*(7*v - 2)
Let t(h) = -h**2 - 9*h - 14. Let p be t(-6). Let 9*r**2 - p*r**3 + r**3 + 3*r**2 = 0. What is r?
0, 4
Let q(u) be the first derivative of -8 + 0*u + 0*u**2 + 1/7*u**4 - 4/7*u**3. Factor q(x).
4*x**2*(x - 3)/7
Determine x so that -10/3*x + 5/3*x**3 - 5*x**2 + 2/3*x**4 + 8/3 = 0.
-4, -1, 1/2, 2
Let h(f) be the first derivative of -f**4/14 + 8*f**3/21 - 5*f**2/7 + 4*f/7 + 2. Factor h(m).
-2*(m - 2)*(m - 1)**2/7
Let s(m) = -m + 14. Suppose 0 = 3*r - 4*q - 24, 0 = 5*r - 0*q - 4*q - 48. Let a be s(r). Solve b**4 + 6*b - 6*b + 0*b**a + 2*b**3 + b**2 = 0 for b.
-1, 0
Let z(k) be the third derivative of -k**6/180 - 7*k**5/90 + 7*k**4/9 - 20*k**3/9 + 12*k**2. Solve z(i) = 0.
-10, 1, 2
Let r(u) be the third derivative of 0*u**3 + 0*u + 1/480*u**6 - 1/60*u**5 + 1/32*u**4 + 0 - 20*u**2. Factor r(j).
j*(j - 3)*(j - 1)/4
Let v(i) be the second derivative of i**7/900 + i**6/200 + i**5/150 - 5*i**4/12 + 6*i. Let l(u) be the third derivative of v(u). Find q, given that l(q) = 0.
-1, -2/7
Suppose -s + 2*s - 2 = 0, -s = -3*o + 7. Suppose 0*r**2 + 2*r**2 - 5 - 4*r + 2*r**2 - o*r**2 = 0. Calculate r.
-1, 5
Let q(m) = -m**3 - m**2. Suppose 4*b = f + 11, 3*f + b - 5 = 1. Let d(u) = 13*u**3 + 46*u**2 + 24*u - 9. Let g(t) = f*d(t) + q(t). Factor g(c).
3*(c + 1)*(c + 3)*(4*c - 1)
Let q(r) = 2*r**2 + 18*r - 99. Let h be q(-13). Let y(k) be the first derivative of -7/2*k**3 - 2*k + 2 - h*k**2. Determine d, given that y(d) = 0.
-2/3, -2/7
Factor 88*h + 202*h**3 + 208*h**3 + 2070 + 16312*h - 361*h**2 + 5*h**4 + 9166*h**2 + 5930.
5*(h + 1)**2*(h + 40)**2
Let r(p) be the third derivative of 0 + 0*p**3 + 1/8*p**4 + 14*p**2 + 1/20*p**5 + 0*p. Factor r(b).
3*b*(b + 1)
Let d be -34 + 31 + 1 + (-32)/(-14). Let j = 29/77 - 1/11. Factor -4/7 + d*u + j*u**2.
2*(u - 1)*(u + 2)/7
Let n(l) be the first derivative of 3*l**4/4 - 52*l**3 + 153*l**2/2 - 249. Suppose n(a) = 0. Calculate a.
0, 1, 51
Let r(d) be the first derivative of 0*d - 1/2*d**4 + 16 + 8/25*d**5 - 1/15*d**6 + 4/15*d**3 + 0*d**2. Factor r(q).
-2*q**2*(q - 2)*(q - 1)**2/5
Factor 74*v**2 + 21*v**3 - 2*v**4 + 792*v + 4*v**4 + 257 + 711 - 57*v**3.
2*(v - 11)**2*(v + 2)**2
Determine q so that -221*q - 2*q**2 + 0*q**3 + 8*q**3 + 213*q + 2*q**4 = 0.
-4, -1, 0, 1
Solve 0 - 2/5*c**3 - 16/5*c**2 - 32/5*c = 0 for c.
-4, 0
Determine h, given that 399*h - 11*h**2 - 364*h - 7 + h**3 - 18 = 0.
1, 5
Let j(z) be the second derivative of -z**5/60 + 13*z**4/36 - 8*z**3/3 + 6*z**2 - z - 22. Let j(w) = 0. Calculate w.
1, 6
Let y(q) be the first derivative of -q**6/2 - 27*q**5/5 - 63*q**4/4 - 19*q**3 - 9*q**2 + 274. Let y(m) = 0. Calculate m.
-6, -1, 0
Suppose 2*t + 3*g - 16 = -1, 0 = 5*t - 3*g - 6. Suppose 0 = -0*w + t*w. Factor w*n + 0*n**2 + 2/7*n**5 + 0 + 4/7*n**3 + 6/7*n**4.
2*n**3*(n + 1)*(n + 2)/7
Let a be (2 - (-1 + 1)) + 2. Let o(b) = b**4 + b**2 - b. Let x(h) = 6*h**4 + 35*h**3 + 41*h**2 + 29*h + 5. Let s(f) = a*o(f) + x(f). Factor s(z).
5*(z + 1)**3*(2*z + 1)
Let y(f) be the second derivative of -6*f**3 - 2/3*f**4 + 9/5*f**5 + 4*f**2 + 4*f + 0. Suppose y(q) = 0. What is q?
-1, 2/9, 1
Let j(w) = w**2 + 3*w - 3. Let k be j(2). Suppose 3*t = k*t. Solve -2/3*l**2 - 2/3*l**3 + t + 4/3*l = 0.
-2, 0, 1
Let s(h) be the third derivative of 11*h**4/24 + 19*h**3/2 - 3*h**2 + h. Let w be s(-5). Factor -n**w - 2/3*n**3 + 4/3*n + 4/3 + 1/3*n**4.
(n - 2)**2*(n + 1)**2/3
Let f(m) be the third derivative of -25*m**5/3 - 25*m**4/6 - 5*m**3/6 + 2*m**2 + 41. What is t in f(t) = 0?
-1/10
Let t be 27/495*4/18*3. Let f(d) be the second derivative of -t*d**5 - 1/165*d**6 - 1/11*d**4 - 4/33*d**3 - 1/11*d**2 + 0 + 2*d. Factor f(p).
-2*(p + 1)**4/11
Suppose 0 = 40*z - 39*z - 3. Let s(n) be the second derivative of -1/9*n**z + 0*n**2 - 1/30*n**5 - 7*n + 0 - 1/9*n**4. Factor s(p).
-2*p*(p + 1)**2/3
Let w(i) = -3*i + 15. Let g be w(4). Suppose -3/4*q - 3/4*q**2 - 1/4 - 1/4*q**g = 0. Calculate q.
-1
Let x(p) be the third derivative of p**6/8 + 21*p**5/20 - 39*p**4/2 - 16*p**3 + 127*p**2. Determine f so that x(f) = 0.
-8, -1/5, 4
Let q(o) be the third derivative of -o**5/90 + o**4/18 + 8*o**3/9 + 7*o**2 + 3. What is r in q(r) = 0?
-2, 4
Let s(a) be the third derivative of a**8/100800 + a**7/25200 - a**6/600 + a**5/60 + a**2. Let v(h) be the third derivative of s(h). Factor v(c).
(c - 2)*(c + 3)/5
Let v(z) be the first derivative of -21*z**5/40 - 9*z**4/8 - z**3/2 - 14*z - 33. Let l(b) be the first derivative of v(b). Solve l(p) = 0 for p.
-1, -2/7, 0
Factor 18/13 + 6/13*k**2 - 56/13*k.
2*(k - 9)*(3*k - 1)/13
Let r(l) be the first derivative of l**3/24 - l**2/16 - 15*l/4 + 252. Factor r(c).
(c - 6)*(c + 5)/8
Let q be 2*-9*5/(-15). Determine d, given that q*d**3 + 10*d**2 - 22*d**2 + d**4 - 6*d + 4 + 25*d**2 + 18*d = 0.
-2, -1
Let -4*b - 2*b**5 - 306*b**3 - 303*b**3 + 2*b**2 - 2*b**4 + 615*b**3 = 0. What is b?
-2, -1, 0, 1
Let m(q) be the second derivative of q**5/80 + q**4/4 + 41*q**3/24 + 15*q**2/4 - 56*q. Factor m(s).
(s + 1)*(s + 5)*(s + 6)/4
Let l = 6975 + -6975. Factor l - 12/7*p**2 - 3/7*p**3 - 12/7*p.
-3*p*(p + 2)**2/7
Let w(n) be the first derivative of -n**4/12 - n**3/3 - n**2/2 - 12*n - 5. Let h(v) be the first derivative of w(v). Factor h(s).
-(s + 1)**2
Let r(x) = x - 1. Let t(q) = q**2 + 38*q - 1. Let k(b) = -r(b) + t(b). Factor k(y).
y*(y + 37)
Let c(l) be the first derivative of -l**3/4 + 55*l**2/8 + 19*l/2 + 360. Factor c(m).
-(m - 19)*(3*m + 2)/4
Let p(t) be the third derivative of -t**6/30 - 44*t**5/15 - 173*t**4/24 - 43*t**3/6 + 51*t**2. Let p(f) = 0. What is f?
-43, -1/2
Suppose -10 = 5*b - 4*c - 31, 5*b - 5*c = 20. What is m in 0 - 5/2*m + b*m**2 - 5/2*m**3 = 0?
0, 1
Let y = -615 - -615. Let w(l) be the third derivative of 0 + 0*l + l**2 + y*l**3 + 1/24*l**4 - 1/40*l**5 + 1/240*l**6. Factor w(u).
u*(u - 2)*(u - 1)/2
Determine i, given that -9*i**5 + 13*i**5 - i**2 - i**2 + 4*i**4 + 24*i - 28*i**3 - 2*i**2 = 0.
-3, -1, 0, 1, 2
Let o = 5912 + -5912. Factor o*p - 1/5 + 1/5*p**2.
(p - 1)*(p + 1)/5
What is z in z**5 + 1974*z - 4800 + 42*z**4 - 279*z**4 + 2586*z + 5037*z**2 + 0*z**5 - 4*z**5 - 4557*z**3 = 0?
-40, -1, 1
Suppose 12 = -6*v + 9*v. Let d be 4/10*(-18)/4 - -2. Factor -d*m**3 - 3/5*m**2 - 2/5 + m + 1/5*m**v.
(m - 1)**3*(m + 2)/5
Find x such that 20 + 2*x**4 + 4*x**5 - 12*x**4 - 44*x - 24*x**4 + 8*x**2 + 6*x**4 + 40*x**3 = 0.
-1, 1, 5
Suppose 121 = -11*t + 187. Let i(r) be the second derivative of -t*r - 1/8*r**4 - 3/4*r**2 + 1/2*r**3 + 0. Suppose i(s) = 0. What is s?
1
Let r(b) = -3*b**2 - 152*b + 2888. Let c(g) = -4*g**2 - 228*g + 4332. Let k(v) = -5*c(v) + 7*r(v). Factor k(t).
-(t - 38)**2
Factor 14/3*q + 13/3*q**2 + 0 - 1/3*q**3.
-q*(q - 14)*(q + 1)/3
Let i = 1938 - 1936. Solve -3/7*b**i - 9/7*b - 1/7*