 f?
-1, 0, 1
Let d be (-18)/(-14)*(-2)/(-9). Factor 4/7*g - d*g**2 + 0.
-2*g*(g - 2)/7
Let b be 10/(-5) + (-4)/(-2). Factor 5*r + 3*r + r + 6 + 3*r**2 + b*r**2.
3*(r + 1)*(r + 2)
Suppose 5*f + 45 = 2*p, -p + 5*f + 5 = -3*p. Let g = -5 + p. Solve 0 + 0*d**3 - 1/3*d**g + 2/3*d**2 - 2/3*d**4 + 1/3*d = 0.
-1, 0, 1
Let y(l) be the third derivative of 0*l + 0 + 7*l**2 - 1/160*l**6 + 1/24*l**4 + 1/6*l**3 - 1/48*l**5. Factor y(x).
-(x - 1)*(x + 2)*(3*x + 2)/4
Let i = -401/2 + 3625/18. Factor i*u - 8/9*u**2 + 0 + 2/9*u**3.
2*u*(u - 2)**2/9
Factor 8/5*m + 2/5*m**2 - 8/5 - 2/5*m**3.
-2*(m - 2)*(m - 1)*(m + 2)/5
Suppose 0 = 3*y + 9 - 45. Factor y*h + 33*h**3 - 11 + 9 + 36*h**4 - 74*h**2 + 10.
(h + 2)*(3*h - 2)**2*(4*h + 1)
Let r(y) be the second derivative of -1/60*y**5 - y - 1/2*y**2 + 1/6*y**3 - 1/120*y**6 + 1/24*y**4 + 0. Let c(d) be the first derivative of r(d). Factor c(v).
-(v - 1)*(v + 1)**2
Suppose 4*p - 6*u + 3*u - 2 = 0, 2*p + u - 6 = 0. Let j(w) be the first derivative of 4/21*w**3 - 1/14*w**4 - 1/7*w**p + 4 + 0*w. Factor j(o).
-2*o*(o - 1)**2/7
Let f(a) be the second derivative of -a**6/75 + 7*a**5/50 - 3*a**4/5 + 4*a**3/3 - 8*a**2/5 + 6*a. Let f(s) = 0. Calculate s.
1, 2
Let t(m) be the first derivative of m**6/57 - 4*m**5/19 + 18*m**4/19 - 36*m**3/19 + 27*m**2/19 - 34. Factor t(b).
2*b*(b - 3)**3*(b - 1)/19
Let y(r) be the second derivative of r**7/126 - r**6/30 + r**5/30 + r**4/18 - r**3/6 + r**2/6 + 6*r. Factor y(o).
(o - 1)**4*(o + 1)/3
Let u(p) = -p**2 - 41*p - 65. Let t(w) = 20*w + 32. Suppose 3*s - 21 = 6*s. Let j(v) = s*t(v) - 4*u(v). Factor j(a).
4*(a + 3)**2
Suppose 0*f + 3*f = 9. Find n such that 4*n**4 - 4*n + 6*n - 2*n**f + 0*n**3 - n**2 - 3*n**4 = 0.
-1, 0, 1, 2
Let x(s) be the first derivative of -s**5/25 - s**4/10 + s**3/15 + s**2/5 + 20. Factor x(a).
-a*(a - 1)*(a + 1)*(a + 2)/5
Suppose 0*l + 0 - 5/4*l**3 + 5*l**2 = 0. What is l?
0, 4
Let v(o) be the first derivative of -2 + 1/10*o**6 - 1/10*o**5 + 1/3*o**3 + 1/2*o**2 - 1/3*o**4 + 2*o. Let k(l) be the first derivative of v(l). Factor k(m).
(m - 1)**2*(m + 1)*(3*m + 1)
Let t(a) be the second derivative of -a**4/18 + a**3/3 - 2*a**2/3 - 7*a. Factor t(o).
-2*(o - 2)*(o - 1)/3
Factor -6*r - 2*r**2 - 5*r + 13*r.
-2*r*(r - 1)
Let g(i) be the third derivative of -1/10*i**5 - 1/6*i**4 - 1/30*i**6 - 1/210*i**7 + 0*i - 1/6*i**3 + 0 - 2*i**2. Factor g(v).
-(v + 1)**4
Suppose b = 1, 0*b - 14 = -4*y - 2*b. Suppose o + 45 = 6*o. Factor o*x**2 + 3 + 0*x**3 + 6*x**3 + x**3 - 4*x**y + 9*x.
3*(x + 1)**3
Factor 2/7*g**2 - 16/7*g + 32/7.
2*(g - 4)**2/7
Let z be ((-7)/6)/(3/(-6)). Factor 0*w - 2/3*w**3 + 5/3*w**4 + z*w**5 + 0*w**2 + 0.
w**3*(w + 1)*(7*w - 2)/3
Factor -10*r**2 + 288*r**4 + 9 - 6*r + 6*r**3 + 2*r**2 - 289*r**4.
-(r - 3)**2*(r - 1)*(r + 1)
Let g be 16/(-104) + (-2 - 67/(-13)). Determine w so that -4/3*w**g + 0 + 0*w + 2/3*w**2 + 2/3*w**4 = 0.
0, 1
Let q(c) be the first derivative of -4 - 1/10*c**4 + 2/5*c**3 - 2/5*c**2 + 0*c. Let q(u) = 0. What is u?
0, 1, 2
Let q = -39 + 39. Let m(v) be the second derivative of 0*v**2 + v - 1/30*v**6 + 0*v**4 + 1/20*v**5 + q + 0*v**3. Factor m(b).
-b**3*(b - 1)
Let c(m) be the second derivative of -m**6/135 - 11*m**5/90 - 4*m**4/9 + 4*m**3/3 - 2*m - 19. Factor c(s).
-2*s*(s - 1)*(s + 6)**2/9
Let t(a) be the second derivative of a**7/3780 - a**5/180 - a**4/54 + a**3/6 + 2*a. Let i(p) be the second derivative of t(p). Factor i(z).
2*(z - 2)*(z + 1)**2/9
Factor 3*k**3 - 24*k + 3*k**2 - 3*k**3 + 19*k**2 + 8 - 6*k**3.
-2*(k - 2)*(k - 1)*(3*k - 2)
Let g(k) be the third derivative of 0*k - 2/15*k**3 + 3*k**2 + 0 - 1/300*k**6 + 0*k**5 + 1/20*k**4. What is a in g(a) = 0?
-2, 1
Factor 2/7*g**2 - 12/7 - 2/7*g.
2*(g - 3)*(g + 2)/7
Suppose 3*t = 0, 10*i - 13*i = 5*t - 6. Factor 0 - 5/2*l**3 - 2*l**4 - 1/2*l**5 + 0*l - l**i.
-l**2*(l + 1)**2*(l + 2)/2
Let h(v) be the first derivative of 0*v - 4 - 2/5*v**3 - 1/5*v**2 - 1/5*v**4. Find y such that h(y) = 0.
-1, -1/2, 0
Let x = 9160 - 961784/105. Let n = 1/21 + x. Determine m, given that 1/5*m**2 - n + 0*m = 0.
-1, 1
Let q be ((-54)/24)/((-1)/4). Suppose 2*w = 5*w - q. Determine k so that k**5 - 1 + 1 - k**w = 0.
-1, 0, 1
Let z(y) be the first derivative of -5*y**4/4 + 5*y**3/3 + 5*y**2/2 - 5*y + 6. Suppose z(a) = 0. Calculate a.
-1, 1
Suppose a**2 + 2*a - 4 - 1/2*a**3 = 0. Calculate a.
-2, 2
Let l(o) = 2*o**2 - o. Let d be l(-1). Let 0*r**2 + 2*r**2 - 3*r + 0*r**2 - d*r**2 = 0. What is r?
-3, 0
Let n(m) = 3*m**3 + 4*m**2 - 4*m + 4. Let p(z) = 8*z**3 + 11*z**2 - 11*z + 11. Let j(r) = 3*r - 4. Let v be j(5). Let c(h) = v*n(h) - 4*p(h). Factor c(b).
b**3
Let s(u) = u**2 - 7*u - 3. Let f be s(8). Let g = -3 + f. Factor -2*h**3 + g*h**2 + 2*h - 4*h**4 + h**4 + h**4.
-2*h*(h - 1)*(h + 1)**2
Let b = 6 + -4. Factor a**2 - 4 + 6 - b*a - a + 0.
(a - 2)*(a - 1)
Let m(p) be the second derivative of p**4/12 - p**3/18 - p**2/3 - 4*p. Determine v, given that m(v) = 0.
-2/3, 1
Factor -16/3*v**2 + 3*v + 1/3*v**5 - 2*v**4 + 14/3*v**3 - 2/3.
(v - 2)*(v - 1)**4/3
Factor 2*c**2 + 38 - 54 + 34 - 4*c + 24*c.
2*(c + 1)*(c + 9)
Let 0*o + 0 + 4/3*o**2 + 4/3*o**3 + 1/3*o**4 = 0. Calculate o.
-2, 0
Let l be ((-3)/(-7))/((-3)/(-4)). Find t, given that 0 + l*t - 6/7*t**2 - 10/7*t**3 = 0.
-1, 0, 2/5
Let s(v) be the first derivative of 2*v**5/25 + v**4/5 - 8*v**3/15 - 8*v**2/5 - 22. Factor s(m).
2*m*(m - 2)*(m + 2)**2/5
Let i = -3 + 7. Suppose 4*l + i = 36. What is b in -5*b**2 + b**2 - l*b - 8 + 2*b**2 = 0?
-2
Find k, given that 3*k - 7*k + 351*k**2 - 24*k + 507*k**3 + 12 - 116*k = 0.
-1, 2/13
Factor 2*s - 1 + 11 - 2 + 6*s + 2*s**2.
2*(s + 2)**2
Let f(z) be the second derivative of -z + 1/24*z**6 + 1/12*z**4 + 0*z**3 + 7/60*z**5 - 1/2*z**2 + 0. Let k(v) be the first derivative of f(v). Factor k(u).
u*(u + 1)*(5*u + 2)
Factor 263*y + 2*y**3 + 3*y**2 - 7*y**2 - 263*y.
2*y**2*(y - 2)
Let h(v) be the first derivative of -v**6/2160 + v**5/720 - 2*v**3/3 - 3. Let b(f) be the third derivative of h(f). What is k in b(k) = 0?
0, 1
Solve -10/3*a**2 - 13/9*a**3 - 2/9*a**4 - 8/9 - 28/9*a = 0 for a.
-2, -1/2
Let v(c) be the first derivative of c**4/14 - 2*c**3/7 + 2*c**2/7 + 9. Factor v(y).
2*y*(y - 2)*(y - 1)/7
Suppose 1 + 3 = 2*o. Suppose -2*n - o*x + 44 = -6*x, 0 = -n + 3*x + 27. Determine h, given that -h**5 - 8*h**2 + 4*h**5 - 8*h**4 + 2*h + n*h**3 - h**5 = 0.
0, 1
Let w(d) be the first derivative of -d**3 + 3*d**2/2 - 4. Let r(x) = 2*x**2 - 2*x. Let t(i) = -7*r(i) - 5*w(i). Factor t(y).
y*(y - 1)
Let f = -6 + 9. Let u be f + 1 + -4 + 2. Find s, given that 3 - 3 + u*s**2 + 0 = 0.
0
Suppose -37*g + 84 = -9*g. Find j, given that 2/5*j**g + 0 + 0*j - 2/5*j**4 + 2/5*j**2 - 2/5*j**5 = 0.
-1, 0, 1
Let i(x) be the third derivative of 1/100*x**5 + 0 + 0*x**3 + 0*x - 4*x**2 + 0*x**4 + 1/200*x**6. Find a, given that i(a) = 0.
-1, 0
Let c be (-50)/(-12) - 1/6. Determine z so that 7*z**2 - 1 - c*z**2 + 7*z + 4*z**2 - 5*z + 4*z**3 = 0.
-1, 1/4
Suppose -4*l + 7*l = 6. Find c, given that 0 + 4/7*c**l + 2/7*c + 2/7*c**3 = 0.
-1, 0
Let q be (1 + -1)*30/60. Let d(w) be the second derivative of q*w**2 - w - 1/3*w**3 + 0 - 7/30*w**6 + 3/5*w**5 - 1/4*w**4. Suppose d(l) = 0. Calculate l.
-2/7, 0, 1
Find o such that -9/7*o**3 + 0*o + 3/7*o**4 + 6/7*o**2 + 0 = 0.
0, 1, 2
Let k(n) be the second derivative of -n**6/10 - 3*n**5/5 - 5*n**4/4 - n**3 - 7*n. Find p such that k(p) = 0.
-2, -1, 0
Let m(d) = -5*d**5 - 7*d**4 - 6*d**2. Let u be 1/3 - 17/(-3). Let w(x) = 14*x**5 + 20*x**4 + 17*x**2. Let o(t) = u*w(t) + 17*m(t). Factor o(n).
-n**4*(n - 1)
Let j(a) be the third derivative of 0*a**3 + 1/140*a**5 + 1/784*a**8 - 1/280*a**6 - 1/490*a**7 + 0*a**4 - 6*a**2 + 0 + 0*a. Factor j(c).
3*c**2*(c - 1)**2*(c + 1)/7
Let z(v) be the third derivative of -v**10/226800 - v**9/45360 + v**7/3780 + v**6/1080 + v**5/60 + v**2. Let u(d) be the third derivative of z(d). Factor u(c).
-2*(c - 1)*(c + 1)**3/3
Let -2*w**4 + 0*w**4 + 4 - 9*w**2 + 5*w**4 - 2*w**3 = 0. What is w?
-1, 2/3, 2
Let z(r) be the first derivative of -r**3 + 6*r - 6 - 3/2*r**2. Solve z(l) = 0.
-2, 1
Suppose 11/7*o - 12/7 + 2/7*o**2 - 1/7*o**3 = 0. Calculate o.
-3, 1, 4
Let s(r) be the third derivative of 0*r + 0 - 1/15*r**5 - 3*r**2 + 1/3*r**4 + 0*r**3. What is z in s(z) = 0?
0, 2
Let z(k) = 3*k**5 - 14*k**4 - 11*k**3 + 14*k