8*d**2 + 60*d**3 + 15*d**5 = 0.
-2/5, 0, 2, 3
Let m be (-24)/(-27)*405/450. Factor 1/5*i**2 - m + 0*i.
(i - 2)*(i + 2)/5
Let m be (-90)/135*(-1 - 0). Let g(c) be the third derivative of -1/12*c**4 + 0 - 5*c**2 - m*c**3 + 0*c - 1/240*c**5. Factor g(a).
-(a + 4)**2/4
Let d = -25647 - -25649. Solve 15/7*g**4 - 6/7 - 9/7*g**d - 3*g**3 + 3*g = 0.
-1, 2/5, 1
Let q be 30/9 - 3 - 24/72. Factor q - 2/3*b**2 - 2/3*b.
-2*b*(b + 1)/3
Let x(j) be the second derivative of -j**6/10 + 21*j**5/20 + 17*j**4/4 + 9*j**3/2 + 429*j. Factor x(r).
-3*r*(r - 9)*(r + 1)**2
Let v(k) be the first derivative of k**6/27 + 2*k**5/9 + k**4/9 - 28*k**3/27 - k**2/3 + 2*k - 166. Determine x so that v(x) = 0.
-3, -1, 1
Let v(o) be the first derivative of -o**6/42 + 6*o**5/7 - 14. Solve v(i) = 0 for i.
0, 30
Let w(p) be the second derivative of -p**4/20 + 2*p**3/5 - 9*p**2/10 + 35*p + 2. Suppose w(o) = 0. Calculate o.
1, 3
What is h in -16*h + 1/3*h**4 - 8/3*h**3 - 44/3*h**2 + 0 = 0?
-2, 0, 12
Let i = 227 + -225. Let y + 3/4 - y**3 - 1/2*y**i - 1/4*y**4 = 0. What is y?
-3, -1, 1
Factor -4205 - 2*o**2 - 3*o**2 - 333*o + 623*o.
-5*(o - 29)**2
Let r = -33 + 33. Determine b, given that 18*b**2 - 11*b**2 + r*b**4 - 3*b**4 - 4 - b**5 + b**3 = 0.
-2, -1, 1
Factor -11/4*y**2 - 7 + 8*y + 1/4*y**3.
(y - 7)*(y - 2)**2/4
Let i = 101 - 101. Let k(g) be the third derivative of 0*g + i + 7/36*g**4 - 7/90*g**5 + 1/90*g**6 + g**2 - 2/9*g**3. Factor k(d).
2*(d - 2)*(d - 1)*(2*d - 1)/3
Factor -6*g**2 + 9/2*g + 27 - 3/2*g**3.
-3*(g - 2)*(g + 3)**2/2
Let o(b) = -22*b**4 - 42*b**3 + 4*b**2 + 24*b. Let v(y) = -10*y**4 - 20*y**3 + 2*y**2 + 12*y. Let k(m) = 4*o(m) - 9*v(m). Factor k(w).
2*w*(w - 1)*(w + 1)*(w + 6)
Suppose -c + 3*o - 3 = 4*o, 0 = 4*c - 2*o + 18. Let y be 4*((-18)/(-4) + c). Find j such that -j**y - 3 + 3 = 0.
0
Suppose 6 = 4*x + w, 0 = 2*w + 4 - 0. Suppose 10*h**2 + 3*h + 3 + 15*h**2 - 3*h**3 - 28*h**x = 0. What is h?
-1, 1
Let f be -4 + 1 - 368/(-69). Find b such that 1/9*b**3 - 2/9 - f*b**4 + 23/9*b**2 - 1/9*b = 0.
-1, -2/7, 1/3, 1
Let u(y) be the second derivative of 1/2*y**5 + 0*y**4 + 0 - 1/2*y**6 + 0*y**2 + y + 0*y**3. Factor u(x).
-5*x**3*(3*x - 2)
Let w = -165 + 159. Let x be (-5)/105*w*(4 - 2). Factor -x - 6/7*h - 2/7*h**2.
-2*(h + 1)*(h + 2)/7
Let q be 0 - 2 - ((-158)/22 + 8/44). Let g = -6 - -10. Factor -9/4*f**g + 0 + 0*f + 3/2*f**3 + 0*f**2 + 3/4*f**q.
3*f**3*(f - 2)*(f - 1)/4
Let i = 7307 + -7304. What is z in -3/4*z**2 + 3/2 + 7/4*z + 1/4*z**4 - 3/4*z**i = 0?
-1, 2, 3
Suppose 3/7*s**4 + 38025/7*s**2 + 585/7*s**3 + 823875/7*s + 0 = 0. What is s?
-65, 0
Let u(r) be the first derivative of r**6/240 + r**5/120 - 4*r**2 + 9. Let h(y) be the second derivative of u(y). Factor h(n).
n**2*(n + 1)/2
Suppose 17*j - 45 = 40. Let n(i) be the second derivative of 0*i**3 + 0*i**2 - i + 2/75*i**6 - 1/50*i**j - 1/105*i**7 + 0*i**4 + 0. Factor n(r).
-2*r**3*(r - 1)**2/5
Let q(c) be the second derivative of -c**7/56 - c**6/4 + 9*c**5/80 + 35*c**4/4 - 49*c**3/2 + c - 14. Factor q(n).
-3*n*(n - 2)**2*(n + 7)**2/4
Let o(m) = -208*m - 5403. Let q be o(-26). Suppose 3/7*j**2 - 3/7*j**4 - 6/7*j + 0 - 3/7*j**q + 9/7*j**3 = 0. Calculate j.
-2, -1, 0, 1
Suppose 3*o + 3*a = 0, -2 = -2*o + 2*a + 6. Factor x**3 + 2 - 7*x**2 - x**5 + 3*x**2 + o*x**2 + 3*x**3 - 3*x.
-(x - 1)**3*(x + 1)*(x + 2)
Let v(m) = 3*m + 20. Let t be v(-5). Solve -32*z + 2*z**t + 137*z**3 - 240*z**3 + 133*z**3 - 16*z**4 + 12*z**2 + 4*z**2 = 0.
-1, 0, 1, 4
Factor -55 + 55 + 5*h**3 - 5*h**4.
-5*h**3*(h - 1)
Let l(u) = 3*u**2 + 8*u - 19. Let d(h) = 2*h**2 + 6*h - 13. Let w(b) = 8*d(b) - 5*l(b). What is m in w(m) = 0?
-9, 1
Let y be ((-2)/24)/((-678)/3616). Determine n, given that -1/9*n**2 + 0*n + y = 0.
-2, 2
Let p(n) = -n**2 + 4*n + 1. Let z be p(2). Let q(s) be the third derivative of 0 - 1/60*s**4 + 0*s - 1/150*s**z + 0*s**3 + 5*s**2. Let q(k) = 0. What is k?
-1, 0
Suppose 0 + 1/3*i**2 + 14/3*i = 0. Calculate i.
-14, 0
Suppose 9 = 4*s + c, 0*c - 6 = -5*s + 4*c. Factor s*n**2 - n**5 - 2*n**4 - 133*n + 132*n + 2*n**5.
n*(n - 1)**3*(n + 1)
Factor -y**3 - 48 + 2*y**2 + 24 + 11*y + y**2 + 30 + y**2.
-(y - 6)*(y + 1)**2
Suppose 0 = -12*k - 26 + 86. Let c(b) be the second derivative of 0*b**3 + 0*b**2 + 1/20*b**k + 0 - 1/12*b**4 - 4*b. Let c(j) = 0. What is j?
0, 1
Let r = 893 - 893. Let o(i) be the second derivative of 13/80*i**5 + 0*i**2 - 1/10*i**6 - 1/8*i**4 + 1/24*i**3 + 1/42*i**7 + r + i. Let o(j) = 0. What is j?
0, 1/2, 1
Let z = -111 + 112. Let u be (-7 - -7)/(z/(-1)). Factor u*x + 6/7*x**4 + 0*x**2 + 0 - 2/7*x**3.
2*x**3*(3*x - 1)/7
Let i(k) be the second derivative of -k**7/42 - k**6/15 + 7*k**5/20 - k**4/3 - 375*k. Determine h so that i(h) = 0.
-4, 0, 1
Let x(s) be the first derivative of -217*s**6/15 + 106*s**5/5 - 22*s**4/5 - 8*s**3/15 - 173. Let x(k) = 0. Calculate k.
-2/31, 0, 2/7, 1
Let i be (-40)/(-18) + (-4)/18. Determine p, given that 16*p**i - 4*p**3 + 12*p + 3*p**3 + 5*p**3 = 0.
-3, -1, 0
Let h be (-4)/(4*-2)*4. Suppose -6 + 2 = -h*a. Factor 3*v - v**2 + v**2 - 2 + v**a - 2*v.
(v - 1)*(v + 2)
Suppose 7*f**3 + 5*f**3 + 580*f**4 - 576*f**4 = 0. What is f?
-3, 0
Let z be (13/4 - (-3)/(-12)) + 7. Factor -12*l**2 + 8 + z + 15*l + 15*l**2.
3*(l + 2)*(l + 3)
Let i(t) = 6*t**3 + 31*t - 22. Let j(p) = -p**3 - 6*p + 4. Let n(r) = 4*i(r) + 22*j(r). Factor n(s).
2*s*(s - 2)*(s + 2)
Let v(c) = c**2 - 6*c - 15. Let d be v(9). Suppose d*h - 5 - 13 - 10*h**2 + 8*h**2 = 0. What is h?
3
Let q = -1819/5 - -365. Let r = 1051 - 5222/5. Suppose r*o - 24/5*o**5 + q - 12*o**4 + 51/5*o**2 - 6/5*o**3 = 0. Calculate o.
-2, -1/2, 1
Let w(s) = -13*s + 289. Let c be w(22). Factor 15/8*l**4 + 3/8 + 27/4*l**2 + 6*l**c + 3*l.
3*(l + 1)**3*(5*l + 1)/8
Let w(u) = u**3 - 5*u**2 - 9*u + 11. Let s be w(5). Let q = s - -54. Factor 45*o**3 - q*o**2 + 93 - 55*o**2 - 98 + 35*o.
5*(o - 1)*(3*o - 1)**2
Let w(k) = 4*k**3 - 3*k + 2. Let z be w(1). Determine y, given that 252*y**2 + 24 + y**z - 30*y + 2*y**3 - 249*y**2 = 0.
-4, 1, 2
Let v(f) = -7*f**4 + 18*f**3 - 10*f**2 - 6*f + 5. Let z(u) = 20*u**4 - 53*u**3 + 30*u**2 + 19*u - 16. Let o(h) = -17*v(h) - 6*z(h). Find x such that o(x) = 0.
-1, 1, 11
Let t = -45 - -51. Let g = 46/7 - t. Suppose -10/7*b - g - 8/7*b**2 - 2/7*b**3 = 0. What is b?
-2, -1
Let s(m) be the second derivative of 1/20*m**5 + 4*m**2 - 8*m - 1/6*m**4 - 2/3*m**3 + 0. Factor s(u).
(u - 2)**2*(u + 2)
Suppose -2*s + s = -3. Factor -49*u + 12*u**4 - 41*u + 9*u**s - 2*u**2 + 87*u - 12*u**5 - 4*u**2.
-3*u*(u - 1)**2*(2*u + 1)**2
Let r(a) = a**3 + 12*a**2 + 9*a - 6. Let m be r(-11). Suppose 20*k - m = 12*k. Factor -1/3*f + 1/2*f**k - 1/6*f**3 + 0.
-f*(f - 2)*(f - 1)/6
Suppose 4*n + w = 21, n + 4*n = 2*w + 10. Find b such that n*b**3 - 4*b + 32*b**4 + 5*b**2 - 46*b**4 + 9*b**2 = 0.
-1, 0, 2/7, 1
Let b(m) be the third derivative of m**5/20 - 75*m**4/2 + 11250*m**3 - 167*m**2. Factor b(n).
3*(n - 150)**2
Suppose 1 = 3*c + 7. Let y(s) = 2*s**2 + 3*s. Let d be y(c). Factor -2/9*n**3 - 2/9*n**d + 8/9*n + 8/9.
-2*(n - 2)*(n + 1)*(n + 2)/9
Let c(w) be the second derivative of -w**7/21 + 2*w**6/3 - 18*w**5/5 + 9*w**4 - 9*w**3 - 2*w - 48. Factor c(h).
-2*h*(h - 3)**3*(h - 1)
Factor 1587 + 3/4*v**3 - 63/2*v**2 + 1035/4*v.
3*(v - 23)**2*(v + 4)/4
Let f(w) be the third derivative of 1/4*w**4 - 12*w**2 + 1/20*w**5 + 0*w + 1/2*w**3 + 0. Suppose f(c) = 0. What is c?
-1
Let g be (-10)/(-8) + (40/(-32) - -3). Factor 1/3*q + 2/3*q**2 + 0 + 1/3*q**g.
q*(q + 1)**2/3
Solve 2/3*q**2 - 1 - 1/6*q**3 - 1/6*q = 0.
-1, 2, 3
Let c(v) be the second derivative of 0 - 2*v**3 - 27*v + 1/4*v**4 + 0*v**2. Suppose c(r) = 0. Calculate r.
0, 4
Suppose 3*n = 4*d - d - 39, d + 5*n - 13 = 0. Find x, given that -9 + x - 34*x**2 + 26 - 15 + d*x**2 = 0.
-2/7, 1/3
Let q(n) be the first derivative of n**6/3 + 46*n**5/5 + 60*n**4 - 96*n**3 - 142. Solve q(w) = 0.
-12, 0, 1
Let h be 0/(-5 - -4) - (1 - 331). Let t be 308/h*(-5)/(35/(-6)). Factor -t*f + 4/5*f**2 + 0.
4*f*(f - 1)/5
Suppose 9*d + 46 = 64. Factor 3/2 - 1/6*k**3 - 5/6*k**d - 1/2*k.
-(k - 1)*(k + 3)**2/6
Factor 13*o + 16 + o**2 - 16 - 40*o.
o*(o - 27)
Let y(j) be the first derivative of -j**4/3 - 20*j**3/3 + 22*j**2 - 68*j/3 - 121. Factor y(i).
-4*(i - 1)**2*(i + 17)/3
Suppose 48 = -13*m + 87. Let -12*s**3 + 21/2*s**4 + m*s - 3*s**5 + 3