2 + 1/2*h**5 - 5/3*h**3 - 26*h - 1/6*h**6 + 0. Factor y(a).
-5*(a - 1)**3*(a + 1)
Suppose j - 2*j - b + 19 = 0, 5*b - 15 = 0. Suppose 2*p + 2*p = j. Factor w**p + w - w**2 + 0*w**2 + 0*w - w**3.
w*(w - 1)**2*(w + 1)
Let m be (-518)/(-735) - 10/(-225)*-3. Factor m*l**3 - 4/7*l**2 - 4/7*l + 4/7*l**4 + 0.
4*l*(l - 1)*(l + 1)**2/7
Let l(h) be the second derivative of 1/10*h**6 - 1/2*h**2 - 1/42*h**7 + 0 - 1/6*h**4 - 7*h + 1/2*h**3 - 1/10*h**5. Find a, given that l(a) = 0.
-1, 1
Suppose -1291*h = -1298*h. Let o be 24/33*(-2)/(-4). Factor -o*c + h - 2/11*c**2.
-2*c*(c + 2)/11
Let z(k) be the second derivative of -1/5*k**5 + 2/3*k**4 + 0 - 2*k - 4*k**2 + 2/3*k**3. Let z(p) = 0. What is p?
-1, 1, 2
Factor 0 + 5/11*y**3 - 6/11*y**2 + 0*y - 1/11*y**4.
-y**2*(y - 3)*(y - 2)/11
Let v(h) be the first derivative of -h**4/4 + 2*h**3/3 - 65. Factor v(i).
-i**2*(i - 2)
Let g(p) be the first derivative of 5*p**3/3 + 50*p**2 - 105*p + 16. Solve g(z) = 0 for z.
-21, 1
Let z(x) be the first derivative of -x**6/18 - 103*x**5/15 - 1733*x**4/6 - 35630*x**3/9 + 82075*x**2/6 - 42875*x/3 + 186. Find h, given that z(h) = 0.
-35, 1
Find u, given that 5*u**3 + 6*u**2 + 54*u**2 - 490 - 3424*u + 3529*u = 0.
-7, 2
Factor 148377*c**3 - 13068 + 697*c + 321*c**2 - 2677*c - 148347*c**3 - 3*c**4.
-3*(c - 11)**2*(c + 6)**2
Let f(u) = -u**2 - 8*u - 12. Let w be f(-5). Factor 6 + w*v**2 + 9 + 5*v**3 - 25*v + v**2 + v**2.
5*(v - 1)**2*(v + 3)
Factor -5*n**3 - 3*n**3 - 3*n**3 - 10*n**3 + 16*n**2 - 66*n + 23*n**3.
2*n*(n - 3)*(n + 11)
Let w(n) be the second derivative of 5/2*n**2 - 1/2*n**6 + 8*n + 5/6*n**4 + 1/2*n**5 + 0 + 5/42*n**7 - 5/2*n**3. Suppose w(l) = 0. What is l?
-1, 1
Factor 8*y**2 - 20*y + 67*y**2 + 5*y**4 - 1161*y**3 - 136 + 36 + 1201*y**3.
5*(y - 1)*(y + 2)**2*(y + 5)
Let q(a) be the third derivative of -1/8*a**4 - 19*a**2 + 0*a - 23/60*a**5 + 1/3*a**3 + 0 + 1/10*a**6. Factor q(c).
(c - 2)*(3*c + 1)*(4*c - 1)
Let h = -27 + 27. Let s be 90/36*(h - -1). Determine y, given that -s*y**3 - 1/2*y**4 + 4*y + 2 + 1/2*y**2 + 1/2*y**5 = 0.
-1, 2
Let r(v) = -v**3 + 43*v**2 + 2*v - 84. Let s be r(43). Factor 2*d - 5/2*d**s + 0 + 1/2*d**3.
d*(d - 4)*(d - 1)/2
Let y = 8293 - 8293. Suppose 1/2*u**3 - 2 + y*u + 3/2*u**2 = 0. What is u?
-2, 1
Let v = 457/762 - 38/381. Solve -1/2*x + 1/2 + v*x**3 - 1/2*x**2 = 0.
-1, 1
Let -26*a + 49/2*a**2 - 13/2*a**4 + 3/2*a**5 + 6 + 1/2*a**3 = 0. Calculate a.
-2, 1/3, 1, 2, 3
Suppose k - s = -0*k + 27, -5*k + 103 = 3*s. Let g = k + -19. Factor 0*r**3 + 0*r**3 + 0 + 1 + 6*r**2 - 4*r + r**g - 4*r**3.
(r - 1)**4
Let p = 5868 + -5868. Factor 5/4*g**3 + 5/4*g**2 + p + 0*g.
5*g**2*(g + 1)/4
Factor 68/3 + 206/9*c + 2/9*c**2.
2*(c + 1)*(c + 102)/9
Let v be 27/(-4) + -1*1. Let u = v + 8. What is t in -3*t - u*t**4 + t**3 - 9/4 + 1/2*t**2 = 0?
-1, 3
Let s(p) be the first derivative of p**5/50 + p**4/20 - 2*p**3/5 - 9*p**2/10 + 27*p/10 + 57. Suppose s(t) = 0. What is t?
-3, 1, 3
Let m(s) = -2*s**4 + 28*s**3 - 49*s**2 + 8*s + 9. Let g(q) = 3*q**4 - 28*q**3 + 47*q**2 - 8*q - 10. Let k(j) = -3*g(j) - 2*m(j). Let k(w) = 0. Calculate w.
-2/5, 1, 2, 3
Let x(a) be the first derivative of 3*a**5/10 - 15*a**4/4 + 29*a**3/2 - 24*a**2 + 18*a - 116. Suppose x(s) = 0. Calculate s.
1, 2, 6
Let k(n) = -5*n - 5. Let c be k(-2). Suppose -c - 1 = -3*w. Factor -x**2 + 3*x**2 + 6*x - 17*x**3 + 2*x**3 + 7*x**w.
-3*x*(x - 1)*(5*x + 2)
Let h = -6159 - -12321/2. Let 0 + 1/2*z + h*z**3 + 3/2*z**2 + 1/2*z**4 = 0. What is z?
-1, 0
Let f = -12 + 695/58. Let o = f + 125/522. Factor 0*p - 4*p**2 - 16/9*p**3 - o*p**4 + 6.
-2*(p - 1)*(p + 3)**3/9
Let x(z) be the second derivative of -z**7/126 - z**6/9 - 4*z**5/15 - 992*z. Factor x(k).
-k**3*(k + 2)*(k + 8)/3
Suppose 82 + 112 - 167 = 9*j. Factor 1/6 - 1/2*k**j - 1/6*k - 5/6*k**2.
-(k + 1)**2*(3*k - 1)/6
Factor 17*s**3 + 0 - 2/3*s + 49/3*s**2.
s*(s + 1)*(51*s - 2)/3
Let v be ((2 + -3)*(-9686)/6)/(-5). Let w = v - -323. Factor -2/15*j**2 + 2/15 + w*j**3 - 2/15*j.
2*(j - 1)**2*(j + 1)/15
Let t be (-8)/4 + (-4 - (-324)/48). Factor 0 + 3/4*m**3 + 3/4*m**2 - t*m**4 - 3/4*m**5 + 0*m.
-3*m**2*(m - 1)*(m + 1)**2/4
Factor -1/4*q**2 + 49/4 + 12*q.
-(q - 49)*(q + 1)/4
Let u(y) = -y - 1. Let w(q) = -16*q**3 - 24*q**2 + 4*q - 13. Let o(g) = -22*u(g) + 2*w(g). Factor o(x).
-2*(x + 2)*(4*x - 1)**2
Let w be 3/(-200)*9/(-27). Let h(q) be the third derivative of 0*q + 3/100*q**5 + 0*q**4 + 0 - 2/5*q**3 + 5*q**2 + w*q**6. What is m in h(m) = 0?
-2, 1
Factor -11/5*t**4 + 1/5 + 3/5*t**5 - 1/5*t + 14/5*t**3 - 6/5*t**2.
(t - 1)**4*(3*t + 1)/5
Let v be 200/48 - (-4 + 112/24). Find k such that -5/2*k**3 + 0 + v*k**2 - 3/2*k + 1/2*k**4 = 0.
0, 1, 3
Let j(a) be the first derivative of 0*a**4 + 0*a**2 - 5 - 1/12*a**6 + 0*a**3 + 1/10*a**5 + 0*a. Factor j(k).
-k**4*(k - 1)/2
Let g(t) = -673*t**3 + 84671*t**2 - 4741632*t + 99574276. Let v(r) = 2*r**4 + r**3 + r**2 - 4. Let h(n) = 2*g(n) + 2*v(n). Solve h(c) = 0.
84
Suppose 5*p = -y + 20, -1 - 7 = -2*p - 3*y. Suppose p*u - 8 + 0 = 0. Factor 4*q**u - 1 + 1 + q - 5*q**2.
-q*(q - 1)
Let y(g) be the third derivative of -g**7/350 + 2*g**6/25 - 71*g**5/100 + 29*g**4/10 - 6*g**3 - 2*g**2 + 173*g. Find x, given that y(x) = 0.
1, 2, 3, 10
Let w(f) be the first derivative of f**6/120 + f**5/8 + f**4/2 - 28*f**3/3 + 27. Let z(y) be the third derivative of w(y). Factor z(t).
3*(t + 1)*(t + 4)
Let d = 90 - 95. Let r be 6 + 1*(d - -3). Factor 15/2*y**3 + 8*y**2 + 2*y**r + 3/2*y - 1.
(y + 1)**2*(y + 2)*(4*y - 1)/2
Let k(n) be the first derivative of 25*n**6/42 + 3*n**5/7 - 17*n**4/14 - 2*n**3/3 + 9*n**2/14 - n/7 - 310. Determine h, given that k(h) = 0.
-1, 1/5, 1
Let q(u) be the first derivative of 0*u + 0*u**2 - 1/4*u**4 - 1/3*u**3 + 8. Determine d so that q(d) = 0.
-1, 0
Factor -15*p**3 - 3/2*p**4 + 108*p - 18*p**2 + 0.
-3*p*(p - 2)*(p + 6)**2/2
Let w(s) = -s**3 - 5*s**2 + 3. Let g be w(-5). Factor 2*p**3 - 5*p**4 - 49*p**5 + 54*p**5 - 12*p**g.
5*p**3*(p - 2)*(p + 1)
Let h(w) be the second derivative of -1/3*w**4 + 0*w**3 - 2*w - 1/5*w**5 + 0*w**2 + 0. Factor h(k).
-4*k**2*(k + 1)
Let i = -33 - -49. Let a = 18 - i. Find h, given that 6*h**2 + 2 + 4*h - 2*h**a - 2*h**2 = 0.
-1
Factor -47*h + 55 + 119*h + 75 - 4*h**2 - 54.
-4*(h - 19)*(h + 1)
Let s(y) = -y + 7. Let b be s(-1). Let a be (2/5)/(b/10). Factor 0 + 0*p**3 - p**4 + 1/2*p**5 - a*p + p**2.
p*(p - 1)**3*(p + 1)/2
Let -1323/5 - 3/5*a**2 - 126/5*a = 0. Calculate a.
-21
Let k be ((-40)/(-70))/(2/7). Let b(r) be the first derivative of 2/9*r**3 - 1/6*r**4 - 1/9*r**k + 2/45*r**5 + 5 + 0*r. Factor b(d).
2*d*(d - 1)**3/9
Let q(j) = j**2 + 6*j + 5. Let r be q(-5). Suppose n - 2*d - 3 + 2 = r, 2*n = d + 5. Let -2*m**n - 4 - 8*m**2 + 4*m - 4*m - 10*m = 0. What is m?
-2, -1
Let w = 367246/103293 + 2/11477. Let -w*u**2 - 4/9 - 2/9*u**5 - 4/3*u**4 - 28/9*u**3 - 2*u = 0. Calculate u.
-2, -1
Suppose -3*o - 18 = -2*o - 5*g, 6 = o + g. Suppose 3*v + 4*y - 26 = 0, y = v - o*y + 13. Solve v*f**2 - 9/4*f**5 - 9/2*f**4 - 5/4*f**3 + f + 0 = 0.
-1, -2/3, 0, 2/3
Let t = -90 + 94. Let c(y) be the first derivative of -7/18*y**3 + 1/36*y**6 - 1/6*y**5 + 1/6*y**2 + 0*y + 3/8*y**4 - t. Determine p so that c(p) = 0.
0, 1, 2
Let y(x) be the first derivative of 0*x + 5/3*x**3 - 5/4*x**4 - 6 + 5*x**2. Factor y(f).
-5*f*(f - 2)*(f + 1)
Let z = -22 - -27. Find d such that -2*d**3 - d**3 - d**2 + d**4 + 6*d**5 - 7*d**5 + 2*d**z + 2*d = 0.
-2, -1, 0, 1
Let t(j) = -5*j + 83 - 85 + 3*j - 4*j. Let l be t(-1). Determine d so that 2/13*d**5 + 32/13*d**2 + 4/13 + 18/13*d + 28/13*d**3 + 12/13*d**l = 0.
-2, -1
Factor -22*p**2 - 42 + 42*p + 3*p + 19*p**2.
-3*(p - 14)*(p - 1)
Let h(c) be the third derivative of -8*c**2 + 0*c - 5/24*c**4 + 7/12*c**5 + 0 + 0*c**3. Determine a so that h(a) = 0.
0, 1/7
What is l in 1 + 45*l**2 - 32*l + 893*l**3 + 35*l**2 - 1 + 107*l**3 + 1500*l**4 = 0?
-2/5, 0, 2/15
Let j = -118051/4 + 6846875/232. Let d = 14/29 + j. Factor 1/4 - d*s - 1/8*s**2.
-(s - 1)*(s + 2)/8
Let s(w) be the second derivative of 0 - 1/6*w**3 - 7*w - 1/10*w**5 - 1/4*w**4 + 0*w**2. Solve s(a) = 0.
-1, -1/2, 0
Let p be (-5)/(-2) + ((-60)/(-8))/15. Factor 13*x - 22*x**p + 3*x + 4*x - 15*x**2 - 22*x.
-x*(2*x + 1)*(11*x + 2)
Let t = -27 - -32. Solve 95*j**t + 612*j**4 + 40*j - 137*j**4 + 260*j**2 + 7*j**5 + 570*j**3 + 23*j**5 = 0 fo