 3 = 0 for r.
-1, 1, 2
Let a(x) be the second derivative of -x**8/30240 - x**7/11340 + x**4/6 + 3*x. Let j(b) be the third derivative of a(b). Determine o, given that j(o) = 0.
-1, 0
Let u(m) = 0*m**2 + m**2 - 11 + m**2 - 2*m. Let o(c) = 0*c**2 + 2*c**2 + 5 + c - 3*c**2. Let a(r) = 7*o(r) + 3*u(r). Factor a(z).
-(z - 2)*(z + 1)
Let u = -170 - -170. Find k such that -1/2*k**4 - 1/2*k**2 + 0 + k**3 + u*k = 0.
0, 1
Let p(f) = -4*f**3 + f**2 + f. Let m be p(-1). Suppose -4*t + 4 = 0, -2*t = -0*v + 2*v - 6. Factor -1 - 2*g**m + 2*g**3 + 0*g**4 - g**4 + 4*g**4 - v*g.
(g - 1)*(g + 1)**3
Let 0 - 1/4*j**3 + 0*j - 1/4*j**2 = 0. Calculate j.
-1, 0
Suppose -6 = -3*s + 3*z, -4*s - 5*z + 12 = -5. Suppose -u + n = 2 + s, 2*u + 5 = n. What is x in 3/2*x**2 + u*x + 0 - 3/2*x**3 = 0?
0, 1
Factor 8*r + 8/3 - 14/3*r**2.
-2*(r - 2)*(7*r + 2)/3
Let g be 0 + 3 + -11 - 2. Let d be (-3)/6*2*g. What is q in -1 - 5*q**2 + d*q**2 - 7*q**2 + 3*q**4 + 2*q**3 - 3*q + q**5 = 0?
-1, 1
Let q = 11 + -7. Let v be 68/16 + (-1)/q. Determine h so that h - 2*h + h**3 - h**2 - h**v + 2*h**2 = 0.
-1, 0, 1
Let l(f) = -f**3 - 3*f**2 + 2. Let p be l(-3). Factor 3 + p*s**3 - 1 + s**4 + 2 - 5 - 2*s.
(s - 1)*(s + 1)**3
Let w(u) be the first derivative of -u**6/120 - u**5/40 + u**3/12 + u**2/8 + 3*u - 1. Let a(c) be the first derivative of w(c). Factor a(z).
-(z - 1)*(z + 1)**3/4
Let o(p) be the third derivative of -p**10/75600 - p**9/30240 + p**5/20 - 2*p**2. Let g(b) be the third derivative of o(b). Determine r, given that g(r) = 0.
-1, 0
Suppose 6*u - 10 = u. Suppose 9 = 5*a - u*i - 6, 2*a = 5*i + 6. Factor -2/5*l**a - 24/5*l - 12/5*l**2 - 16/5.
-2*(l + 2)**3/5
Let n(l) be the first derivative of -4/7*l**2 - 2/21*l**3 - 6/7*l + 3. Suppose n(p) = 0. Calculate p.
-3, -1
Let d(p) be the third derivative of -p**8/1680 + p**6/60 + p**5/15 - p**4/4 - 8*p**2. Let n(x) be the second derivative of d(x). Factor n(c).
-4*(c - 2)*(c + 1)**2
Let q(u) be the third derivative of -7*u**5/30 + 3*u**4/8 + 5*u**2. Let m(n) = n**2 - n. Let v(w) = 28*m(w) + 4*q(w). Factor v(g).
-4*g*(7*g - 2)
Factor 0 - 1/5*b**2 + 2/5*b.
-b*(b - 2)/5
What is l in -l - 1/3*l**3 + 1/3 + l**2 = 0?
1
Factor -2/9*j**3 + 0*j + 2/3*j**2 - 8/9.
-2*(j - 2)**2*(j + 1)/9
Let s(a) = -7*a**4 - 9*a**3 + 12*a**2 + a + 3. Let i(w) = 21*w**4 + 27*w**3 - 36*w**2 - 4*w - 8. Let f(c) = 3*i(c) + 8*s(c). Factor f(u).
u*(u - 1)*(u + 2)*(7*u + 2)
Solve 1/3*u**5 - 2/3*u**3 - 2/3 - 8/3*u**2 - 7/3*u + 2/3*u**4 = 0.
-1, 2
Let f(a) be the third derivative of -a**7/175 + 11*a**6/300 - 4*a**5/75 - a**4/15 - 2*a**2. Suppose f(w) = 0. What is w?
-1/3, 0, 2
Let x(l) be the third derivative of l**7/105 + 7*l**6/60 + l**5/2 + 3*l**4/4 - 4*l**2. Factor x(k).
2*k*(k + 1)*(k + 3)**2
Let j(s) = s**2 + 1. Let x(k) = -5*k**2 - 5*k - 6. Let z(h) = 4*j(h) + x(h). Let a be z(-4). Suppose 0*u - 6/7*u**4 + 2/7*u**3 + 0 + 4/7*u**a = 0. Calculate u.
-2/3, 0, 1
Let 1/7*w**4 + 0*w**2 - 6/7*w**3 + 32/7*w + 0 = 0. Calculate w.
-2, 0, 4
Let t(k) be the third derivative of 0*k + 1/10*k**5 + 7/60*k**6 + 0 - 1/21*k**7 + 3*k**2 + 2/3*k**3 - 7/12*k**4. Let t(b) = 0. What is b?
-1, 2/5, 1
Factor 0 - 1/3*b**2 + 1/3*b.
-b*(b - 1)/3
Let x(q) be the first derivative of -1 + 0*q**2 + 0*q - 1/4*q**4 + 0*q**3. Determine w so that x(w) = 0.
0
Suppose 5*b - 180 = 120. Let m be -3*(-4)/b + 1. Factor m*g + 2/5*g**3 - 6/5*g**2 - 2/5.
2*(g - 1)**3/5
Factor 0*j**2 + 0 - 1/3*j + 1/3*j**3.
j*(j - 1)*(j + 1)/3
Solve 52/17*v**2 + 14/17*v**3 - 4/17*v**4 + 12/17 + 46/17*v = 0.
-1, -1/2, 6
Let f be (-1 - 4) + -5*6/(-3). Find o, given that 0 + 1/5*o**4 + 3/5*o**3 - 1/5*o**2 - 2/5*o**f - 1/5*o = 0.
-1, -1/2, 0, 1
Suppose -5*s = -0*t + 5*t - 25, 0 = 4*s + 5*t - 18. Let f be (s/(-8))/((-2)/8). Find b such that -f*b + 1/2 + 15/2*b**2 - 9/2*b**3 = 0.
1/3, 1
Let s = 0 - -5. Factor -3*i**2 - 7*i**3 + s*i**3 - 7*i**3.
-3*i**2*(3*i + 1)
Let h(n) be the second derivative of 1/6*n**3 + 0 - 1/2*n**2 + 1/12*n**4 - 4*n. Let q(m) = -6*m**2 + 3. Let b(u) = 3*h(u) + q(u). Suppose b(z) = 0. What is z?
0, 1
Let s(u) be the first derivative of 1/6*u**6 + 0*u - 1/4*u**4 - 1 - 1/3*u**3 + 1/5*u**5 + 0*u**2. Factor s(p).
p**2*(p - 1)*(p + 1)**2
Factor 13/5*z**2 + 81/5*z**4 + 126/5*z**3 - 28/5*z + 4/5.
(z + 1)**2*(9*z - 2)**2/5
Let x(c) be the second derivative of c**5/100 - c**4/15 + 23*c. Factor x(w).
w**2*(w - 4)/5
Let i be -2 - 1 - -2*8. Factor -4*q**3 + 11*q**4 - 4 + 2*q**5 + 2 + 2*q - i*q**4 + 4*q**2.
2*(q - 1)**3*(q + 1)**2
Let x(t) be the first derivative of t**4/4 + 4*t**3 - 10. Let w be x(-12). Factor -25/4*r**5 + w - 6*r**3 + 45/4*r**4 + 0*r + r**2.
-r**2*(r - 1)*(5*r - 2)**2/4
Suppose -3*y + 2 = -4. Solve -2*u**5 + 4*u**5 - y*u**3 + 3*u**4 + u**2 - u**5 + 5*u**3 = 0 for u.
-1, 0
Let j(q) be the second derivative of 2*q**7/9 + 41*q**6/90 - 11*q**4/36 + q**3/9 - q. Solve j(g) = 0.
-1, 0, 1/4, 2/7
Let z(s) = s**3 - 3*s**2 + 2*s + 2. Let x be z(2). Factor -q**2 - q**2 + q**2 - q**2 + x*q.
-2*q*(q - 1)
Let i be ((-2)/(-4))/((-1)/2). Let g be (i + 1)/(-1 + 3). Solve -u + g + 1/2*u**2 + 1/2*u**3 = 0.
-2, 0, 1
Factor 5*d**2 - 5*d + 8*d**3 - 4*d**4 + 5*d - 9*d**2.
-4*d**2*(d - 1)**2
Solve 4/5*z**2 + 64/5 - 96/5*z + 24/5*z**3 + 4/5*z**4 = 0 for z.
-4, 1
Suppose -4*b + 0*p - 3*p = 12, 5*b - 5*p = 20. Let f = -10/17 + 64/51. Factor 2/3*o**4 - 2/3*o + 2/3*o**3 + b - f*o**2.
2*o*(o - 1)*(o + 1)**2/3
Let r(l) be the first derivative of 1/9*l**2 + 2/9*l + 3 - 1/18*l**4 - 2/27*l**3. Suppose r(x) = 0. Calculate x.
-1, 1
Let l be (16/10)/(2/5). Let h be l + 2 - (-1 - -2). Factor -3*a**5 - a**4 + 0*a**h + 4*a**5 + a**2 - a**3.
a**2*(a - 1)**2*(a + 1)
Let a(p) be the first derivative of -p**7/420 - 2*p**2 - 3. Let o(x) be the second derivative of a(x). Factor o(l).
-l**4/2
Let j(k) be the second derivative of 1/3*k**2 + 0 - 1/3*k**3 - 1/30*k**5 + 1/6*k**4 - 4*k. Factor j(a).
-2*(a - 1)**3/3
Factor 32*s**3 + 10*s - 5*s**3 - 18*s**2 - 7*s.
3*s*(3*s - 1)**2
Let z(b) be the first derivative of -b**7/1050 - b**6/300 + b**4/60 + b**3/30 - b**2 - 3. Let c(t) be the second derivative of z(t). Factor c(x).
-(x - 1)*(x + 1)**3/5
Suppose -f - 2 = -3*p - 0*f, 4*p = -f - 2. Suppose 5*k - 3 - 7 = 0. Factor -r**k + 2*r + p*r**2 - r.
-r*(r - 1)
Factor 0*l**2 + 4 - 6*l**2 + 2*l + 4*l**2.
-2*(l - 2)*(l + 1)
Let o(w) = -5*w + 13*w - 2*w**2 - 4 + w**2. Let d be o(7). Factor 0 + d*g**2 - 3/2*g**3 + 0*g.
-3*g**2*(g - 2)/2
Let i(n) = 2*n**4 - 16*n**3 - 48*n**2 - 68*n - 36. Let r(v) = -v**4 + v + 1. Let u(t) = i(t) + 4*r(t). Factor u(k).
-2*(k + 2)**4
Factor 128/7 - 2/7*j**4 + 32/7*j - 72/7*j**2 + 22/7*j**3.
-2*(j - 4)**3*(j + 1)/7
Let r(n) = -3*n**3 + 15*n**2 + 19*n + 11. Let i(c) = -2*c**3 + 8*c**2 + 10*c + 6. Let q(x) = -5*i(x) + 3*r(x). Factor q(f).
(f + 1)**2*(f + 3)
Let p be 4/(-6) + (-14)/(-3). Let c be p*1*1/1. Factor -2/7*j + 4/7*j**3 + 0*j**c + 0 + 0*j**2 - 2/7*j**5.
-2*j*(j - 1)**2*(j + 1)**2/7
Let y(r) = -8*r - 6. Let c be y(-1). Factor -1/3*o**c + 0*o + 4/3.
-(o - 2)*(o + 2)/3
Factor -14/9*x**4 + 10/3*x**3 + 8/9*x + 0 + 2/9*x**5 - 26/9*x**2.
2*x*(x - 4)*(x - 1)**3/9
Let k be (-6)/(-28) + 2/7. Factor k*t + 0 - 1/4*t**2.
-t*(t - 2)/4
Let b = -38 - -57. Suppose 5*o - b = -2*j, -5*j + 0*o - 2*o = -16. Suppose j*p**4 + 26/7*p + 46/7*p**3 + 4/7 + 54/7*p**2 = 0. Calculate p.
-1, -2/7
Let b be 1 + (4 - 3) - 0. Factor -2 + 2*d**2 + d - b*d + d.
2*(d - 1)*(d + 1)
Let j(x) be the second derivative of 0*x**2 - 3/5*x**5 - 1/3*x**3 + 4/15*x**6 - 1/21*x**7 + 2/3*x**4 + 3*x + 0. Factor j(i).
-2*i*(i - 1)**4
Suppose 0 = -a + 2*a + 23. Let i = a - -70/3. Factor 0 - 1/3*b + 0*b**2 + i*b**3.
b*(b - 1)*(b + 1)/3
Determine j so that -2*j**2 + 2/3*j**3 + 2/3*j**4 + 4/3 - 2/3*j = 0.
-2, -1, 1
Let k be 812/63*2/48. Let m = -1/27 + k. Let -m*w**3 + 1/2*w**2 + 0*w + 0 = 0. Calculate w.
0, 1
Suppose 8*x = 11*x - 4*j + 8, 3*x = j - 2. Factor 0*k + 0*k**2 + x + 2/7*k**3 + 0*k**4 - 2/7*k**5.
-2*k**3*(k - 1)*(k + 1)/7
Suppose -2*r + 7*r = v + 26, 2*r - 7 = -3*v. Suppose r*m + 6 = 8*m. Let 2/7 - 6/7*x - 8/7*x**m = 0. What is x?
-1, 1/4
Let u(x) be the first derivative of -x**7/3360 - x**6/1440 + 2*x**3/3 - 4. Let o(g) be the third derivative of u(g). Find d, given that o(d) = 0.
-1, 0
Let w(a) be the first derivative of 4/11*a - 1/11*a**2 + 2 - 2/33*a**3. Find x, given that w(x