)**2/2
Let k(n) = n**3 + n**2 + n. Let c(u) = -3*u**3 + u**2 - 23*u + 10. Suppose 4*i + 1 = 3*x, 0 = -2*i - 5*x + 5 + 14. Let m(y) = i*c(y) + 10*k(y). Factor m(f).
4*(f - 1)**2*(f + 5)
Let c = 44 - 18. Let n be (c/10 - (-20)/50)/1. Factor 1/2*q + 0 - 9/4*q**2 + 7/4*q**n.
q*(q - 1)*(7*q - 2)/4
Let f(y) be the second derivative of -25*y**4/12 - 5*y**3 - 5*y**2/2 + 11*y - 5. Solve f(x) = 0 for x.
-1, -1/5
Let t(i) be the first derivative of i**3/12 + 5*i**2/2 - 11*i + 434. Solve t(a) = 0.
-22, 2
Let x(m) be the third derivative of -47*m**5/300 - 3*m**4/8 + m**3/15 + 2*m**2 - 57. Factor x(h).
-(h + 1)*(47*h - 2)/5
Suppose -8*t + 3*t = -15. Suppose -12 = -3*d - 3*f, -16 = -t*d - d + 3*f. Factor d + 6*c - 5*c**4 - 6*c**2 - 3*c**5 + c**3 + 10*c + 6*c**3 + 27*c**2.
-(c - 2)*(c + 1)**3*(3*c + 2)
Let f = -10 + 12. Suppose -f*q - b + 3*b + 2 = 0, 2*q + 5*b = 30. What is a in -a**2 + 2*a - 4*a - a + q*a - 1 = 0?
1
Suppose -10*k + 6*k = 3*o - 40, -2*k = -o. Let u be (3/4)/(2/o). Determine b so that -3*b**u + 1/2*b**4 + 3/2 + 6*b**2 - 5*b = 0.
1, 3
Let q(z) be the first derivative of 1/15*z**4 - 2*z**3 + 6 - 1/75*z**5 + 0*z**2 + 0*z + 1/900*z**6. Let p(g) be the third derivative of q(g). Factor p(b).
2*(b - 2)**2/5
Suppose 33 + 45 = -3*i. Let p be i/(-5) - (-20 + 24). Find n, given that 4/5 - 8/5*n**3 + 24/5*n**4 + 14/5*n**5 - 28/5*n**2 - p*n = 0.
-1, 2/7, 1
Let i(a) be the third derivative of a**5/420 - 169*a**4/168 + 4*a**3 + 3*a**2 + 35. Factor i(z).
(z - 168)*(z - 1)/7
Let h(x) = -2*x**2 - x**3 + 1 + 4 + 7*x**2 - 2*x - 7. Let q be h(4). Determine b, given that -q + 9*b**4 - 6*b**4 - 3*b**3 - 9*b**2 - 3*b + 18*b = 0.
-2, 1
Let o = -47 - -49. Find m, given that 11*m**o - 1506 + 1506 - 2*m = 0.
0, 2/11
Let b(h) be the first derivative of h**5 + 5*h**4/2 - 25*h**3/3 - 15*h**2 - 77. Find g, given that b(g) = 0.
-3, -1, 0, 2
Let q(w) be the first derivative of -95/4*w**4 + 0*w - 45/2*w**2 + 55*w**3 + 12 + 3*w**5. Factor q(v).
5*v*(v - 3)**2*(3*v - 1)
Factor -5*a - 4*a**2 - a**3 + 2*a**3 + a - 2*a**3.
-a*(a + 2)**2
Suppose 11*p - 102 - 338 = 0. Factor -68*t**2 + 2*t + 42*t**5 - 16*t**4 + 12*t**3 - p*t**5 + 36*t**3 - 12 + 44*t.
2*(t - 3)*(t - 2)*(t - 1)**3
Let s(f) be the second derivative of f**6/30 - f**4/12 + 71*f + 2. Solve s(y) = 0.
-1, 0, 1
Let u be (-2)/(-3)*(1 - (-190)/(-4)). Let k = u - -31. What is w in 0*w + 3/4*w**4 - 3/2*w**2 + 3/4*w**3 + k = 0?
-2, 0, 1
What is j in 24*j**2 + 30*j - 5*j**2 - 21*j**2 = 0?
0, 15
Suppose -74*j + 47*j + 81 = 0. Let y(i) be the second derivative of 0 + 0*i**2 - 1/45*i**6 - 2/45*i**3 + j*i - 1/90*i**4 + 4/75*i**5. Solve y(t) = 0 for t.
-2/5, 0, 1
Let v(l) = 3*l - 20 - 5*l + 5 - l. Let i be v(-6). Determine p, given that 4/3 + 64/3*p**2 + 76/3*p**i + 44/3*p**4 + 10/3*p**5 + 26/3*p = 0.
-1, -2/5
What is w in 720*w**2 - 342*w**5 + 160*w**4 + 34560 + 25920*w - 1460*w**3 + 676*w**5 - 339*w**5 = 0?
-2, 12
Suppose -14*f + 44/3 - 2/3*f**2 = 0. Calculate f.
-22, 1
Factor -1/11*t**2 - 12/11 - 8/11*t.
-(t + 2)*(t + 6)/11
Factor -116/3 - 118/3*a**2 + 1/3*a**3 + 233/3*a.
(a - 116)*(a - 1)**2/3
Let g(m) = 130*m**2 - 575*m - 1355. Let k(a) = 11*a**2 - 48*a - 113. Let n(f) = -3*g(f) + 35*k(f). Let n(z) = 0. What is z?
-2, 11
Let c(j) be the second derivative of -j**7/63 - 7*j**6/45 - 3*j**5/5 - 11*j**4/9 - 13*j**3/9 - j**2 + j + 22. Factor c(v).
-2*(v + 1)**4*(v + 3)/3
Let h(c) be the third derivative of 8*c**2 + 0 - 1/48*c**5 - 1/480*c**6 + 3/8*c**3 - 1/32*c**4 + 0*c. Solve h(d) = 0 for d.
-3, 1
Let q(z) be the second derivative of 0 - 1/22*z**5 - 1/33*z**4 + 0*z**2 - 1/231*z**7 - 4/165*z**6 + 0*z**3 - 20*z. Let q(d) = 0. What is d?
-2, -1, 0
Solve -8*z**4 + 56/3*z**3 - 4*z**2 + 12 + 2/3*z**5 - 58/3*z = 0.
-1, 1, 2, 9
Let k(c) be the first derivative of -c**4/30 - 2*c**3/5 - 8*c**2/5 + 16*c + 11. Let z(s) be the first derivative of k(s). Factor z(w).
-2*(w + 2)*(w + 4)/5
Let j(u) be the second derivative of u**6/30 - 3*u**5/20 - 5*u**4/12 + u**3/2 + 2*u**2 + 23*u + 2. Factor j(m).
(m - 4)*(m - 1)*(m + 1)**2
Suppose 20 = -5*h, -g - 5*h - 44 = -3*g. Suppose -4*i + 1 = 9, g = 3*y + 3*i. Factor -y*z - 3*z**2 + 12 - 29 + 14.
-3*(z + 1)**2
Let w(h) = -4*h + 26. Let p be w(6). Factor -3*f - 4*f**p + 2 + 3*f**2 - 4.
-(f + 1)*(f + 2)
Let m = 148 + -95. Factor -m*n**2 + 24*n + 27*n**2 + 48 + 29*n**2.
3*(n + 4)**2
Let p(n) = n**3 + 15*n**2 - 57*n - 24. Let q be p(-18). Solve -5*u**4 - 10 + q*u**2 - 5/2*u - 25/2*u**3 = 0.
-4, -1/2, 1
Let h(g) be the third derivative of -g**8/784 - g**7/98 - g**6/28 - g**5/14 - 5*g**4/56 - g**3/14 - 96*g**2. Factor h(o).
-3*(o + 1)**5/7
Let l(o) be the second derivative of -o**7/14 - o**6 + 9*o**5/20 + 7*o**4 - 10*o**3 + 38*o + 2. Find b such that l(b) = 0.
-10, -2, 0, 1
Suppose 9/2*r**2 - 93/4*r + 15/4 = 0. Calculate r.
1/6, 5
Let w = -77 + 79. Suppose -5*h + 2*h + w*y = -16, 16 = 5*h + 2*y. Factor 0 - 1/2*f**h + 0*f + 1/2*f**2 - 1/2*f**5 + 1/2*f**3.
-f**2*(f - 1)*(f + 1)**2/2
Let f be 2/(-3)*9/(-24). Let o be 3/5 + (-21)/35. Factor o - f*s**2 + 1/2*s.
-s*(s - 2)/4
Let n(v) be the third derivative of -5/21*v**4 - 10*v**2 + 0 + 50/21*v**3 + 1/105*v**5 + 0*v. Determine g, given that n(g) = 0.
5
Factor -22/9*i - 4/3 - 4/3*i**2 - 2/9*i**3.
-2*(i + 1)*(i + 2)*(i + 3)/9
Let b(c) be the first derivative of -c**6/36 - c**5/6 - c**4/3 - 2*c**3/9 - 514. Factor b(y).
-y**2*(y + 1)*(y + 2)**2/6
Let n be (20/(-32))/((-3)/((-3366)/(-85))). Let 21/2*g**2 - 3/4*g**4 - n*g - 9/2*g**3 + 3/4*g**5 + 9/4 = 0. Calculate g.
-3, 1
Let q = 3169/3420 + -35/38. Let r(x) be the third derivative of -1/18*x**3 + 4*x**2 + 0*x + 0 + 0*x**4 + q*x**5. Let r(p) = 0. Calculate p.
-1, 1
Factor 0*d - 3/2*d**2 + 0 - 3/4*d**4 - 9/4*d**3.
-3*d**2*(d + 1)*(d + 2)/4
Let w(y) be the first derivative of -2*y**5/25 - y**4/10 + 34*y**3/15 - 3*y**2 - 20. Solve w(p) = 0.
-5, 0, 1, 3
Let i = -52180/177 + 884/3. Let w = 14/767 - i. Solve -4/13 - w*k + 2/13*k**2 = 0.
-1, 2
Find s, given that -18*s**4 - 13*s**4 + 60*s**3 - 165*s**3 - 50*s**2 - 24*s**4 = 0.
-1, -10/11, 0
Let p(z) be the second derivative of -1/15*z**6 + 0*z**2 + 0 + 1/6*z**4 + z**3 - 3/10*z**5 - 50*z. Factor p(o).
-2*o*(o - 1)*(o + 1)*(o + 3)
Let w be ((-1735)/(-60))/1 + -4. Let d = w + -97/4. Factor 16/3*l + d*l**3 - 10/3*l**2 - 8/3.
2*(l - 2)**2*(l - 1)/3
Suppose 0 = -4*b + 12, 0 = -q + 5*q - b - 9. Suppose -g = 4*u + g + 8, u + 12 = -q*g. Factor u*h + 2/11 - 2/11*h**2.
-2*(h - 1)*(h + 1)/11
Let i be (((-4)/8)/(375/30))/(-6). Let x(r) be the second derivative of 0 + 0*r**3 + 1/100*r**5 + 0*r**2 + 3*r - 1/60*r**4 - 1/210*r**7 + i*r**6. Factor x(j).
-j**2*(j - 1)**2*(j + 1)/5
Suppose 5*n - 20 = 0, n + 17 = j + 88. Let h = 471/7 + j. Find q, given that h*q**2 - 4/7*q + 2/7 = 0.
1
Let z(y) be the third derivative of -y**5/30 + 7*y**4/30 + y**3/5 + 366*y**2. Factor z(d).
-2*(d - 3)*(5*d + 1)/5
Determine i so that 15/2 + 15/2*i**4 - 15*i**2 + 3/2*i**5 - 3*i**3 + 3/2*i = 0.
-5, -1, 1
Let j = -3 + 5. Let f = -3652/9 - -406. What is d in 2/9*d**j + 0 + f*d = 0?
-1, 0
Let t(i) be the second derivative of 5*i**7/42 + i**6/2 + i**5/2 - 5*i**4/6 - 5*i**3/2 - 5*i**2/2 - 78*i. Factor t(o).
5*(o - 1)*(o + 1)**4
Let b = -52013 + 52013. Factor -243/7 - 18/7*o**3 + 3/7*o**4 + b*o**2 + 162/7*o.
3*(o - 3)**3*(o + 3)/7
Let a be 12 + 0 - (13 + (-26 - -23)). Factor 10/13*n + 8/13 + 2/13*n**a.
2*(n + 1)*(n + 4)/13
Let w(i) be the second derivative of 48*i - 4/3*i**3 + 5/3*i**4 - 4/5*i**5 + 0 + 0*i**2 + 2/15*i**6. Factor w(j).
4*j*(j - 2)*(j - 1)**2
Let x = 1121/1314 - 42/73. Let c(v) be the third derivative of 0 - 5*v**2 + x*v**4 + 0*v - 7/90*v**5 + 1/120*v**6 - 4/9*v**3. Factor c(w).
(w - 2)**2*(3*w - 2)/3
Let w be (1/35)/((-22)/(-220)). Let z(p) be the first derivative of w*p**3 - 3/7*p**2 + 2/7*p - 1/14*p**4 + 5. Factor z(i).
-2*(i - 1)**3/7
Let m(f) = 34*f**3 + 550*f**2 + 7854*f + 7302. Let c(n) = -14*n**3 - 220*n**2 - 3142*n - 2921. Let j(a) = 12*c(a) + 5*m(a). Factor j(o).
2*(o + 1)*(o + 27)**2
Factor 6*r**3 - 5*r**3 + 37*r**4 - 32*r**4 - 90*r + 135 + 9*r**3 - 60*r**2.
5*(r - 3)*(r - 1)*(r + 3)**2
Let x(b) = -2*b**2 + 7*b + 12. Let n(v) = 2*v**2 - 8*v - 12. Let j(g) = 5*n(g) + 6*x(g). Factor j(y).
-2*(y - 3)*(y + 2)
Let s be ((-2305)/(-50))/(-2 + 0 + 33). Let n = 2/155 + s. Factor 0*v**4 - 1/2*v**5 + 0*v + v**2