*(a + 2)**2*(4*a - 1)/7
Let o(n) be the first derivative of -n**6/45 - 2*n**5/75 + n**4/15 - 4. Solve o(t) = 0 for t.
-2, 0, 1
Let y(z) = z - 4. Let p be y(6). Determine f so that 0*f**2 - 9 + 4 + 6*f**p + 2*f**3 - 3 = 0.
-2, 1
Let y(r) be the third derivative of 1/360*r**5 - 8*r**2 + 0 + 0*r - 1/144*r**4 - 1/18*r**3. Factor y(g).
(g - 2)*(g + 1)/6
Let n(y) = -y**2 + 7*y + 2. Let b(q) = -q + 7. Let h be b(0). Let f be n(h). Factor 2/9 - 2/9*j**f + 0*j.
-2*(j - 1)*(j + 1)/9
Factor -512/9*i**4 - 96*i - 192*i**2 - 512/3*i**3 - 18.
-2*(4*i + 3)**4/9
Suppose -18 = -7*d + 4*d. Let g(r) be the third derivative of 0*r**3 + 0 - 4*r**2 + 0*r**4 - 1/70*r**7 - 1/15*r**d - 1/15*r**5 + 0*r. Factor g(p).
-p**2*(p + 2)*(3*p + 2)
What is v in -1/3*v**2 - 2/3 - v = 0?
-2, -1
Let 0 - 1/2*m**2 + 1/2*m**4 - m**3 + m = 0. Calculate m.
-1, 0, 1, 2
Find x, given that 0*x**4 - 11*x**4 + 6*x**2 - 3*x**5 + 5*x**4 + 3*x = 0.
-1, 0, 1
Factor -5*z**2 + 2*z**2 + 14*z - 8*z - 9*z.
-3*z*(z + 1)
Suppose 84/17*r**2 + 64/17 + 22/17*r**3 + 128/17*r + 2/17*r**4 = 0. What is r?
-4, -2, -1
Let -6/7*u - 9/7*u**3 - 3*u**2 + 0 = 0. What is u?
-2, -1/3, 0
Suppose 28 = 7*c + 14. Factor -2/5*u**5 - 4/5*u**c + 0*u**3 + 0 + 4/5*u**4 + 2/5*u.
-2*u*(u - 1)**3*(u + 1)/5
Suppose -250 = 5*q - 620. Determine c, given that -17*c**2 + q*c**3 - 8 + 55*c**2 - 88*c**3 - 16*c = 0.
-2/7, 1, 2
Let j be (-3)/(0/1 + -1). Let c be (6/4)/((-3)/(-10)). Determine h, given that -4/5*h**2 + 4/5*h**4 + 0*h + 0 + 6/5*h**c - 6/5*h**j = 0.
-1, -2/3, 0, 1
Let j(r) be the second derivative of -33*r**5/80 - 13*r**4/16 - r**3/4 - 4*r. Determine o so that j(o) = 0.
-1, -2/11, 0
Let -7*d**2 + 3*d**3 - 10*d - 3*d**2 - 7*d**3 - 2 + 2*d = 0. What is d?
-1, -1/2
Let m(r) be the third derivative of 0*r**3 + 2*r**2 + 0 - 1/20*r**5 + 3/8*r**4 + 0*r. Factor m(l).
-3*l*(l - 3)
Let f(r) be the first derivative of -2*r**3 + 2*r**2 - 2*r/3 - 14. Suppose f(i) = 0. Calculate i.
1/3
Let l be 8/(-10)*15/(-6). Suppose -u + 3*u - 3*t + 5 = 0, -3*u = -4*t + 6. Factor -h**4 + 0*h**3 - u*h**l - h**3 + h + 3*h**2 + 0*h.
-h*(h - 1)*(h + 1)**2
Factor 1/5*i + 3/5*i**3 - 1/5*i**4 - 3/5*i**2 + 0.
-i*(i - 1)**3/5
Let v(o) be the first derivative of -o**6/75 - o**5/25 + 2*o**3/15 + o**2/5 - 2*o - 2. Let c(b) be the first derivative of v(b). Factor c(k).
-2*(k - 1)*(k + 1)**3/5
Let p(z) be the second derivative of -z**7/42 - z**6/10 - z**5/10 + z - 32. Factor p(f).
-f**3*(f + 1)*(f + 2)
Let k(r) = -r**5 - 9*r**4 - 9*r**3 - r**2 - 3. Let i(w) = -2*w**5 - 10*w**4 - 10*w**3 - 2*w**2 - 2. Let p(y) = 3*i(y) - 2*k(y). Factor p(x).
-4*x**2*(x + 1)**3
Suppose 3*w - 15 + 0 = 0. Suppose 15 = -w*v, -3*v + 0 = 5*z - 1. Factor 2/9 - 2/3*l**3 - 2/9*l - 10/9*l**z.
-2*(l + 1)**2*(3*l - 1)/9
Let y be (-1)/(-20) + (-2)/(-10). Let -y*v**2 + 1/4 - 1/4*v**3 + 1/4*v = 0. Calculate v.
-1, 1
Let b be (-2 - 4)/(-1 + -1). Factor b*a + 8 + 3*a**2 - 8.
3*a*(a + 1)
Let r(s) = 3*s + 1. Let d be r(4). Let t be (-2)/(-6)*d/26. Determine x so that 1/6*x**2 + 0 + t*x = 0.
-1, 0
Let v(s) be the second derivative of -s**4/3 - 28*s**3/3 - 98*s**2 - 48*s. Factor v(n).
-4*(n + 7)**2
Find n such that 2/5*n**3 - 2/5*n**5 - 4/5*n**4 + 4/5*n**2 + 0*n + 0 = 0.
-2, -1, 0, 1
Let a(s) = 5*s**4 + 2*s**3 - 8*s**2 + 1. Let z(o) = o**5 + 24*o**4 + 11*o**3 - 39*o**2 - o + 4. Let b(g) = 11*a(g) - 2*z(g). Let b(v) = 0. Calculate v.
-1, -1/2, 1, 3
Suppose 3*y = 2*y + 6*y. Determine u, given that -27/2*u**5 + 36*u**3 + y*u**4 + 1 + 19/2*u + 31*u**2 = 0.
-1, -1/3, 2
Let m(h) be the second derivative of -1/10*h**5 - h**3 + 0 - 1/2*h**4 - h - h**2. Factor m(x).
-2*(x + 1)**3
Let k(b) be the third derivative of b**9/1512 - b**7/210 + b**5/60 - b**3/2 - 4*b**2. Let x(q) be the first derivative of k(q). Solve x(m) = 0.
-1, 0, 1
Let y(l) be the first derivative of -5*l**4/12 + 2*l**3/9 + 10*l**2/3 - 8*l/3 + 20. Factor y(m).
-(m - 2)*(m + 2)*(5*m - 2)/3
Let c be (8/20)/((-3)/(-12)). Let t(m) be the first derivative of 8/5*m**2 - 2/5*m**3 - c*m + 1. Factor t(a).
-2*(a - 2)*(3*a - 2)/5
Let l(u) = u**2 - 2. Let p(o) = -6*o**2 + 11. Let x(t) = -39*l(t) - 6*p(t). Find d such that x(d) = 0.
-2, 2
Let v(j) = j. Let w be v(3). Suppose 4*c = w*q + 4, 5*c - 3*q = 2*c. Determine u, given that -1/2*u**c + 0*u + 0*u**2 + 0*u**3 + 0 = 0.
0
Let w be 1/6 + (-68)/(-24). Find l such that 3*l**2 + 5*l - l - 5*l**2 - 2*l**w = 0.
-2, 0, 1
Let r = -1/432 + 251/15120. Let u(b) be the third derivative of -b**2 - b**3 + 3/20*b**5 + 1/8*b**4 + 0 - r*b**7 + 0*b - 1/40*b**6. Solve u(a) = 0.
-2, -1, 1
Let k be 5/1 - (4 - 5 - -4). Find g, given that 2/5*g**k - 12/5*g + 18/5 = 0.
3
Let -2/5*o - 2/5*o**2 + 0 = 0. Calculate o.
-1, 0
Let u be 132/(-720) + 1/5. Let i(a) be the third derivative of 0*a + u*a**6 + 0 + 1/12*a**4 + 0*a**3 - 1/15*a**5 - 2*a**2. Factor i(n).
2*n*(n - 1)**2
Let v(b) be the second derivative of -b**6/135 + b**5/90 + b**4/18 - b**3/27 - 2*b**2/9 + 6*b. Suppose v(u) = 0. What is u?
-1, 1, 2
Let o(l) be the third derivative of -l**6/720 + l**5/120 - l**4/48 + 2*l**3/3 - 4*l**2. Let p(t) be the first derivative of o(t). Solve p(y) = 0 for y.
1
Suppose 6*p = 12 + 6. Let l(w) be the second derivative of 3/10*w**5 + 2*w**p + 13/12*w**4 - w + 0 + 2*w**2 + 1/30*w**6. Determine a so that l(a) = 0.
-2, -1
Let m be (2/(-5))/(5/(-25)). Factor -10/7*f**4 + 2/7*f**m + 0*f - 2/7*f**3 + 0 - 6/7*f**5.
-2*f**2*(f + 1)**2*(3*f - 1)/7
Factor 0*j - 1/10*j**2 + 2/5.
-(j - 2)*(j + 2)/10
Let b(c) be the first derivative of 0*c**2 + 1/6*c**4 + 2*c - 1/10*c**5 + 3 + 0*c**3. Let m(s) be the first derivative of b(s). Factor m(g).
-2*g**2*(g - 1)
Let p(u) be the second derivative of 7*u + 7/24*u**3 + 1/60*u**6 - 1/168*u**7 - 1/6*u**4 + 1/40*u**5 + 0 - 1/4*u**2. Factor p(h).
-(h - 1)**4*(h + 2)/4
Let s be (-11)/(-3) + (-2)/3. Let k be 1/((s/2)/3). Factor -1 - 6*g - 1 - 9*g**k - 5*g.
-(g + 1)*(9*g + 2)
Suppose 2*q + 3*q = 5*k - 75, -3*k = -4*q - 45. Suppose -5*u - 3*i = 5, -10 - k = -5*u + 3*i. Solve u*s**5 - s - 4*s**2 + s**5 - 2*s**3 + 4*s**4 - 2 + 2 = 0.
-1, -1/3, 0, 1
Factor 63/2*h + 1/2*h**3 - 17/2*h**2 + 81/2.
(h - 9)**2*(h + 1)/2
Suppose 0 = 2*j - 2*c - 8, 9 - 27 = -5*j + 4*c. Let j*s - 50*s**2 - 49*s**3 + 67*s**5 + 42*s**4 - 22*s**5 + 8 + 2*s = 0. Calculate s.
-1, -2/3, 2/5, 1
Let j(z) be the first derivative of -z**6 + 9*z**5/5 + 6*z**4 - 5*z**3 - 18*z**2 - 12*z + 23. Suppose j(v) = 0. What is v?
-1, -1/2, 2
Suppose 0*z**2 + 0 - 1/2*z**4 + 0*z + 1/2*z**3 = 0. What is z?
0, 1
Let y = -173 + 1213/7. Factor 4/7*t - 2/7*t**3 + y*t**2 + 0.
-2*t*(t - 2)*(t + 1)/7
Let p(u) be the third derivative of -u**10/136080 + u**9/34020 - u**8/30240 - u**4/12 + 6*u**2. Let r(t) be the second derivative of p(t). Factor r(l).
-2*l**3*(l - 1)**2/9
Suppose -5 + 17 = 3*r, 0 = -5*n + r + 46. Let y = n - 10. Factor 0 + y*x**3 + 2/7*x**2 - 2/7*x**4 + 0*x.
-2*x**2*(x - 1)*(x + 1)/7
Factor 1/2*s**2 + 0 + 1/2*s.
s*(s + 1)/2
Let s(w) be the third derivative of w**6/360 + w**5/120 + 2*w**3/3 - 2*w**2. Let y(a) be the first derivative of s(a). Determine d, given that y(d) = 0.
-1, 0
Let r = -558 - -561. Let j = -51/5 - -53/5. Let -3/5*u**4 + 1/5 + 3/5*u + 2/5*u**2 - 1/5*u**5 - j*u**r = 0. Calculate u.
-1, 1
Let x(g) = g**2 - g. Let w be x(1). Suppose -5*c + w*c + 10 = 0. Factor 7*q**2 - q**c - 4*q**4 - 2 - 2*q**2 + 2*q**4 - 2*q - 2*q**5 + 4*q**3.
-2*(q - 1)**2*(q + 1)**3
Suppose 2 = -3*x - y + 11, x - 4*y = -10. Let f(r) be the first derivative of -14/27*r**3 - r**x - 2 - 4/9*r. Solve f(j) = 0.
-1, -2/7
Let v(f) be the third derivative of f**8/1064 - f**7/399 + f**6/1140 + f**5/570 - 5*f**2. Factor v(z).
2*z**2*(z - 1)**2*(3*z + 1)/19
Let z(w) be the first derivative of w**3/12 + w**2 + 4*w - 5. Factor z(q).
(q + 4)**2/4
Factor 2*o**2 + 40*o + 32 + 28 - 10*o**3 - 68.
-2*(o - 2)*(o + 2)*(5*o - 1)
Let -3/8*r**3 - 3/2 + 9/8*r**2 + 0*r = 0. Calculate r.
-1, 2
Suppose -3*l = -2*l - 4. Factor -4*b + 8 + 6*b**2 - 2*b**4 - 4*b**3 + 10*b + 10*b + 0*b**l.
-2*(b - 2)*(b + 1)**2*(b + 2)
Let l be 16*-1*1/(-2). Factor -3*b**3 + l - 57*b**2 + 72*b**2 + 4 - 24*b.
-3*(b - 2)**2*(b - 1)
Suppose -32 = -3*d + 5*m, -3*d + 16 = -0*d - m. Find s such that -6*s**5 - 22/5*s - 4/5 + 4/5*s**d + 52/5*s**3 + 0*s**2 = 0.
-1, -2/3, -1/5, 1
Suppose -5*m + 11 = f + f, -3*f = -3*m - 6. Factor 2 + 77/2*h**2