 z*l**2 = 0.
0, 3
Let y(d) = d**3 - d**2 - d - 1. Let w(x) = -2*x**5 + 10*x**4 + 14*x**3 + 18*x**2 - 12*x. Let l(v) = 2*w(v) + 28*y(v). Find g such that l(g) = 0.
-1, 1, 7
Let g be 10/(-9)*2/(-4)*3. Suppose -3*w = c + 1, 5*c - w = 4*w + 15. Solve 2/3 + 7/3*j + g*j**c = 0.
-1, -2/5
Let w = -6 - -8. Suppose -w*h + 33 - 7 = 0. Solve -12*u + 2*u**3 - 3*u**3 + h*u = 0.
-1, 0, 1
Let r(b) be the first derivative of -b**8/630 - 17*b**7/1260 - b**6/27 - b**5/45 - 8*b**3 - 53. Let x(p) be the third derivative of r(p). Factor x(c).
-2*c*(c + 2)**2*(4*c + 1)/3
Let w(n) be the second derivative of 25/8*n**2 + 0 + 1/48*n**4 - 20*n + 5/12*n**3. Factor w(v).
(v + 5)**2/4
Find q, given that -600*q + 29*q**3 - 5*q**3 - 19*q**3 - 10*q**3 - 720 + 115*q**2 = 0.
-1, 12
Let x(y) be the third derivative of -y**5/210 + 8*y**4/21 - 31*y**3/21 - 35*y**2 - 2. Factor x(q).
-2*(q - 31)*(q - 1)/7
Let j = 27 + -25. Factor -6*s**2 + s**3 + 2*s**j - 5*s + s**2 + 7*s.
s*(s - 2)*(s - 1)
Suppose 2*s - 19 = -5*o, s = 2*o - 0*o - 4. Factor -11 - s - f + 2*f + 7 + f**2.
(f - 2)*(f + 3)
Determine b so that -6*b**4 + 6*b**3 + 239*b**3 + 36*b**4 - 5*b + 150*b**2 - 33*b - 25*b**5 - 2*b = 0.
-2, -1, 0, 1/5, 4
Let s be 2/((-816)/(-201)) - 45/120. Let o(u) be the first derivative of 4/85*u**5 + 5/34*u**4 - 1/17*u**2 + 2/17*u**3 + 5 - s*u. Factor o(g).
2*(g + 1)**3*(2*g - 1)/17
Suppose 2*s = 5*s - 21. Suppose -5*g = -g - s*g. What is c in -1/4*c**2 + 1/4*c + g = 0?
0, 1
Let t(q) be the third derivative of -2*q**5/15 - 15*q**4/4 - 11*q**3/3 - 7*q**2 - 4. Factor t(m).
-2*(m + 11)*(4*m + 1)
Let m(g) be the first derivative of -9/2*g**2 - 1/2*g**6 + 0*g + 10*g**3 + 18/5*g**5 + 17 - 9*g**4. Suppose m(u) = 0. Calculate u.
0, 1, 3
Let q(y) be the third derivative of y**11/66528 - y**10/30240 - y**9/6048 - y**5/12 - y**4/24 - 42*y**2. Let c(b) be the third derivative of q(b). Factor c(o).
5*o**3*(o - 2)*(o + 1)
Suppose z + 16*h - 4 = 19*h, 0 = -4*z + 3*h + 16. Factor 3/4*r**z + 3/4 - 3/4*r**5 + 3/2*r**3 - 3/4*r - 3/2*r**2.
-3*(r - 1)**3*(r + 1)**2/4
Let y(i) = -7*i**3 - 2*i**2 - 3*i - 1. Let z be y(-1). Factor 2 - 8*n**2 - z - 12*n + 1.
-4*(n + 1)*(2*n + 1)
Let p(i) = -29*i**3 - 209*i**2 + 221*i. Let d(g) = -10*g**3 - 70*g**2 + 74*g. Let r(o) = 17*d(o) - 6*p(o). Solve r(u) = 0.
-17, 0, 1
Let k(h) = 5*h**2 - 215*h + 290. Let j(o) = -4*o - 2. Let g(d) = -30*j(d) + k(d). Factor g(y).
5*(y - 14)*(y - 5)
Let l(a) be the third derivative of -a**7/1785 - a**6/340 + a**5/51 - 8*a**2 - 1. Factor l(t).
-2*t**2*(t - 2)*(t + 5)/17
Let f(n) be the third derivative of 0*n + 0 + 1/120*n**4 + 0*n**6 + 1/200*n**5 + 21*n**2 + 0*n**3 - 1/2100*n**7. Factor f(w).
-w*(w - 2)*(w + 1)**2/10
Let l(h) = -h**2 + 12*h - 93. Let i(j) = j**2 - 11*j + 95. Let n(q) = 6*i(q) + 7*l(q). Factor n(o).
-(o - 9)**2
Let k(d) be the second derivative of -d**4/6 - 11*d**3/6 + 3*d**2 - 87*d - 2. Factor k(b).
-(b + 6)*(2*b - 1)
Let x(y) be the second derivative of 0 - 1/39*y**3 + 1/130*y**5 + 2*y - 1/78*y**4 + 1/13*y**2. Solve x(h) = 0.
-1, 1
Let a(h) = 2*h**2 + 6*h + 3. Let k be a(-3). Factor 2*b**4 - 4*b**2 + 0*b**3 - 2*b + 9 - k - 4 - 2*b**5 + 4*b**3.
-2*(b - 1)**3*(b + 1)**2
Let v(s) = -3*s + 7. Let z be v(9). Let w = z + 22. Factor -1/2*l**3 + 5/2*l**2 - 4*l + w.
-(l - 2)**2*(l - 1)/2
Let q(i) be the first derivative of 0*i**2 - 2/3*i**3 - 5*i + 5 - 1/10*i**5 - 1/2*i**4. Let m(r) be the first derivative of q(r). Factor m(j).
-2*j*(j + 1)*(j + 2)
Let c = -38685/8 - -4840. Factor 11/8*x**2 + 25/8 + 1/8*x**3 + c*x.
(x + 1)*(x + 5)**2/8
Suppose -58 = 7*b - 11*b + 2*v, -2*b = -5*v - 9. Suppose 2 - b = -5*o. Factor 1/3*c**4 + o*c**2 + 2/3 - 5/3*c**3 - 7/3*c.
(c - 2)*(c - 1)**3/3
Let m(d) = 3*d**2 + d + 1. Suppose -10*x = -17*x - 7. Let f be m(x). Suppose -2/11*b**f + 4/11*b**2 + 0*b + 0 = 0. What is b?
0, 2
Let j be ((-6)/4 + 1)*(-2 - -2). Let g(m) be the second derivative of -1/18*m**3 + 2*m + 1/20*m**5 + 0*m**2 + j + 1/18*m**4. Factor g(w).
w*(w + 1)*(3*w - 1)/3
Let q(v) be the second derivative of 1/18*v**4 - 5/9*v**3 + 0*v**2 + 0 + 3*v. Find l, given that q(l) = 0.
0, 5
Let h = 45 - 59. Let p be ((-1)/h)/((-8)/(-64)). What is k in 2/7*k + 2/7*k**3 - p*k**2 + 0 = 0?
0, 1
Let m(w) be the first derivative of 4*w**4/7 - 8*w**3 + 78*w**2/7 - 38*w/7 - 36. Factor m(o).
2*(2*o - 19)*(2*o - 1)**2/7
Let 2/3*a**4 - 2/3*a**2 + 2/3*a - 2/3*a**3 + 0 = 0. Calculate a.
-1, 0, 1
Let t(o) be the second derivative of 0 + 0*o**2 - 1/21*o**7 + 13*o - 4/15*o**6 - 2/3*o**4 - 1/3*o**3 - 3/5*o**5. Determine h so that t(h) = 0.
-1, 0
Let j(h) = h**3 - 3*h**2 + 3*h. Let m be j(2). Let w(l) = l**3 + 8*l**2 + 5*l - 8. Let d be w(-7). Factor -d*v**2 + 4 - 8*v**3 + 6*v**3 + 0*v**4 + m*v**4 + 2*v.
2*(v - 2)*(v - 1)*(v + 1)**2
Let f(r) = 13*r**3 - 42*r**2 - 97*r - 72. Let t(l) = -2*l**3 + l**2 - 3*l - 1. Let a(z) = f(z) + 6*t(z). Suppose a(j) = 0. Calculate j.
-2, -1, 39
Let h be -8 + -4 + (-510)/(-42). Factor 4/7*a + h*a**2 + 4/7.
(a + 2)**2/7
Let q(n) be the third derivative of -2*n**7/315 - 412*n**6/45 - 84872*n**5/15 - 17483632*n**4/9 - 3601628192*n**3/9 + 91*n**2 - n. Factor q(c).
-4*(c + 206)**4/3
Let m(j) be the first derivative of j**3/9 + 4*j**2 + 48*j + 16. Find l such that m(l) = 0.
-12
Suppose 4*l - 14 = 3*a + 84, -3*l - 24 = a. Let o be 13/6 + 5/a. Factor o*h**4 + 2 - 7*h**3 - 4*h**2 + 19*h**5 - 17*h**5 + 3*h**3 + 2*h.
2*(h - 1)**2*(h + 1)**3
Let q = 3322477/173346 - 2/28891. Factor -q*g + 5/6*g**3 - 25/3*g**2 - 10.
5*(g - 12)*(g + 1)**2/6
Let c be 350/(-15)*((-64)/(-476))/(-2). Let p = c - 4/17. Suppose 0*m + 0 - 4/3*m**4 + 0*m**2 + p*m**3 = 0. What is m?
0, 1
Suppose 11*l - l = 700. Factor l*n**4 - 73*n**4 - 9*n**2 + 4*n**3 + 5*n**3 + 3*n.
-3*n*(n - 1)**3
Let l(v) be the first derivative of -2/21*v**3 - 13 + 0*v + 0*v**2. Factor l(w).
-2*w**2/7
Let b be 92/483*-7 + (-3)/(27/(-12)). Factor 0 + 0*k + 2/7*k**3 + b*k**2.
2*k**3/7
Let l(o) be the third derivative of 0 - 6*o**2 + 0*o**3 + 0*o - 1/180*o**5 + 0*o**4. Find w such that l(w) = 0.
0
Let c(u) = u**3 + 5*u**2 - 36*u + 3. Let i be c(-9). Find b such that 3/4*b**i + 3/4*b**4 - 9/4*b**2 - 3/4*b + 3/2 = 0.
-2, -1, 1
Factor 0 - 99/2*x - 3/2*x**2.
-3*x*(x + 33)/2
Let k = -72 - -145/2. Let b(n) be the second derivative of k*n**3 + 0 + 1/24*n**4 + 9/4*n**2 + 4*n. Factor b(r).
(r + 3)**2/2
Let u(t) be the first derivative of t**7/126 - 17*t**6/360 + t**5/30 + 2*t**2 + 1. Let x(m) be the second derivative of u(m). Suppose x(f) = 0. What is f?
0, 2/5, 3
Let h(w) be the third derivative of 1/30*w**5 + 1/120*w**6 - 1/3*w**3 - 1/24*w**4 - 14*w**2 + 0*w + 0. Factor h(j).
(j - 1)*(j + 1)*(j + 2)
Let l = 173 - 170. Let g(w) be the second derivative of 0*w**2 - w**l + 9*w + 0 - 1/6*w**4. Factor g(x).
-2*x*(x + 3)
Let c be 2 - (-2)/(-9) - (-4)/18. What is w in 14*w**c - 2 - 8*w + 18*w**2 - 36*w**2 - 2 = 0?
-1
Let u(f) be the third derivative of -f**7/70 + f**6/40 + 9*f**5/20 + 11*f**4/8 + 2*f**3 + 215*f**2. Factor u(h).
-3*(h - 4)*(h + 1)**3
Let y(f) be the second derivative of f**9/30240 - f**8/4480 + f**7/2520 - 3*f**4/2 - 13*f. Let s(c) be the third derivative of y(c). Factor s(m).
m**2*(m - 2)*(m - 1)/2
Suppose -5*b - 10*b = 3345. Let g = b + 1339/6. Solve -g*z**4 - 1/2*z**2 + 2/3 + 2/3*z**3 - 2/3*z = 0 for z.
-1, 1, 2
Let z(d) be the third derivative of -d**8/1680 + d**7/315 + d**4/6 + 6*d**2. Let l(r) be the second derivative of z(r). Factor l(b).
-4*b**2*(b - 2)
Let f(y) = -y**2 + 8*y + 4. Let h be f(8). Factor 2/11*g**h + 2/11*g**2 + 0 - 4/11*g**3 + 0*g.
2*g**2*(g - 1)**2/11
Suppose 466 = 32*k + 370. Factor 0 + 3*u + 1/2*u**k - 5/2*u**2.
u*(u - 3)*(u - 2)/2
Let p = 3124 - 78086/25. Let a(h) be the first derivative of 16/15*h**3 + 4 + 4/15*h**6 - p*h**5 - 2/5*h - 2/5*h**2 - 1/5*h**4. Suppose a(d) = 0. Calculate d.
-1, -1/4, 1
Let c(r) be the first derivative of -r**5/20 - 5*r**4/16 - 7*r**3/12 - 3*r**2/8 - 3. Factor c(u).
-u*(u + 1)**2*(u + 3)/4
Suppose 13*t - 11*t = 8. Determine b so that 75*b - 75*b + 2*b**3 - b**t - 4*b**2 + 3*b**2 = 0.
0, 1
Let t(q) be the second derivative of -q**4/28 + 9*q**3/7 - 51*q**2/14 + 2*q + 77. Factor t(r).
-3*(r - 17)*(r - 1)/7
Determine k so that 27*k + 87/2*k**2 + 3/2*k**4 + 0 + 18*k**3 = 0.
-9, -2, -1, 0
Let f(i) be the third derivative of 1/60*i**5 + 0 - 1/60*i**4 + 0*i**3 +