)**4/7
Let n(c) be the first derivative of 2*c**6/9 - c**4 - 8*c**3/9 + 5. Factor n(v).
4*v**2*(v - 2)*(v + 1)**2/3
Let z(c) be the second derivative of c**8/13440 - c**6/1440 + c**4/4 + 3*c. Let k(t) be the third derivative of z(t). Factor k(s).
s*(s - 1)*(s + 1)/2
Let x(h) be the second derivative of h**8/6720 - h**6/720 + h**4/96 - h**3/3 - 2*h. Let l(v) be the second derivative of x(v). Let l(s) = 0. Calculate s.
-1, 1
Let i(s) be the second derivative of -2*s - 1/60*s**5 + 1/2*s**2 + 0*s**4 + 0*s**3 + 0. Let k(q) be the first derivative of i(q). Factor k(c).
-c**2
Let j be (-2)/(5/((-15)/24)). Let f = 5/12 + j. Find d such that -f*d + 3*d**3 + 5/3*d**2 + 0 - 5/3*d**4 - 7/3*d**5 = 0.
-1, 0, 2/7, 1
Let f(q) be the first derivative of q**4/24 + q**3/6 + q**2/4 - 3*q - 1. Let r(s) be the first derivative of f(s). Let r(h) = 0. What is h?
-1
Let h = 18777947414/1015 - 18500439. Let c = h - 2/1015. Suppose -c*i**2 - 3/5*i + 0 - 9/5*i**3 - 3/5*i**4 = 0. What is i?
-1, 0
Suppose -4*g - 14 = -34. Let y(b) be the third derivative of -1/160*b**6 + 0 + 0*b + 0*b**3 + 1/32*b**4 + 0*b**g + 2*b**2. Determine d so that y(d) = 0.
-1, 0, 1
Let q(v) be the third derivative of -v**5/30 - v**4/24 + v**2. Let x(z) = -2*z + 2*z**2 + 0*z + 3*z. Let u(f) = -3*q(f) - 4*x(f). Find a, given that u(a) = 0.
-1/2, 0
Factor d + 0 + 1/2*d**4 - 1/2*d**2 - d**3.
d*(d - 2)*(d - 1)*(d + 1)/2
Let r(p) be the third derivative of p**6/420 + p**5/70 - 4*p**3/21 + 3*p**2. Factor r(n).
2*(n - 1)*(n + 2)**2/7
Let -2*d**2 - d + 4*d**2 + 3*d + 4*d = 0. Calculate d.
-3, 0
Solve -w**2 - w**2 + 4*w**2 + w**4 + 2*w + 3*w**5 - 5*w**3 - 3*w**2 = 0.
-1, 0, 2/3, 1
Let m = -25 + 49. Suppose 3*v = -3*r + m, -4*r - v + 24 = v. Suppose 0*q + 2/3*q**r + 0 - 4/3*q**3 + 2/3*q**2 = 0. Calculate q.
0, 1
Factor -f**3 + 2*f**3 - f**3 - 3*f**2 - 3*f**3.
-3*f**2*(f + 1)
Suppose 0 = k - 6 + 3. Let v be -2 - k*12/(-9). Solve -1/2*d**v - 3/4*d**3 + 0*d - 1/4*d**4 + 0 = 0.
-2, -1, 0
Let l(k) be the second derivative of -1/15*k**6 + 1/10*k**5 - k + 0 + 0*k**2 + 0*k**3 + 0*k**4. Let l(y) = 0. What is y?
0, 1
Let c = 7 - 5. Let i = 10 + -6. Factor 0*x**c + 2*x**4 - i*x**2 + 2*x**2.
2*x**2*(x - 1)*(x + 1)
Let l = -44/21 - -17/7. Factor 0 + 0*x**2 + 0*x - l*x**3.
-x**3/3
What is w in 15*w + 3*w**4 - 6 + 132*w**2 + 0 - 3*w**3 - 141*w**2 = 0?
-2, 1
Let o(f) = -f**2 - 2*f + 1. Let q be o(1). Let w be q/(-15)*20/6. Find t such that 0 - w*t**2 - 2/9*t - 2/9*t**3 = 0.
-1, 0
Let v(u) = -8*u**5 + 3*u**4 + 9*u**3 - 15*u**2 + 6*u - 5. Let h(o) = -9*o**5 + 3*o**4 + 9*o**3 - 15*o**2 + 6*o - 6. Let x(z) = -5*h(z) + 6*v(z). Factor x(k).
-3*k*(k - 1)**3*(k + 2)
Let f = -12/25 + 17/25. What is k in -3/5*k**2 - 3/5*k - f - 1/5*k**3 = 0?
-1
Let j(u) be the third derivative of -u**7/70 - u**6/8 - 3*u**5/10 + u**4/2 + 4*u**3 - 20*u**2. Factor j(w).
-3*(w - 1)*(w + 2)**3
Let g be ((-6)/16)/((-1)/4*3). Factor g*q + 0 + 1/2*q**2.
q*(q + 1)/2
Let a(l) be the first derivative of -l**6/14 - 4*l**5/35 + l**4/7 - 24. Factor a(u).
-u**3*(u + 2)*(3*u - 2)/7
Let x(d) be the first derivative of 2 + 1/2*d**4 + 10/27*d**3 - 14/45*d**5 - d**2 + 4/9*d. Find v, given that x(v) = 0.
-1, 2/7, 1
Factor 3/5*r**2 + 0 + 0*r.
3*r**2/5
Let x(s) be the second derivative of -s**6/30 + s**5/20 + s**4/12 - s**3/6 - 7*s. Factor x(d).
-d*(d - 1)**2*(d + 1)
Let k(o) be the second derivative of 1/2*o**4 + 1/14*o**7 + 0*o**2 + 0*o**6 - 9/20*o**5 + 0 + 0*o**3 + 3*o. Factor k(r).
3*r**2*(r - 1)**2*(r + 2)
Let g(y) = -y**2 - 21*y + 8. Let f be g(-21). Factor 5/2*l**2 + 25/2*l**3 + 2 - f*l.
(l + 1)*(5*l - 2)**2/2
Let i(s) be the third derivative of 4*s**5/15 + 5*s**4/6 + 2*s**3/3 + 14*s**2. Factor i(d).
4*(d + 1)*(4*d + 1)
Let r(y) be the third derivative of -y**2 + 0 + 1/60*y**6 + 1/336*y**8 + 0*y - 1/8*y**4 - 1/30*y**5 + 1/70*y**7 - 1/6*y**3. Factor r(o).
(o - 1)*(o + 1)**4
Let l be 4 + -4 - (-6)/1. What is h in -h**3 + 3*h**3 + 2*h**5 + h - l*h**3 + h = 0?
-1, 0, 1
Let p(m) be the first derivative of -2*m**6/3 + 8*m**5/5 + 2*m**4 - 16*m**3/3 - 2*m**2 + 8*m + 6. Let p(v) = 0. Calculate v.
-1, 1, 2
Let n(b) be the first derivative of 7*b**3/9 - 8*b**2/3 + 4*b/3 - 23. Factor n(k).
(k - 2)*(7*k - 2)/3
Factor 10 - 3*u**2 - 5*u**3 - 7*u - 18*u + 23*u**2.
-5*(u - 2)*(u - 1)**2
Factor -2/17*m**2 - 34 - 4*m.
-2*(m + 17)**2/17
Let k(l) be the second derivative of -9*l**6/40 + 27*l**5/80 + 3*l**4/16 - 11*l**3/24 + l**2/4 + 6*l. Let k(x) = 0. What is x?
-2/3, 1/3, 1
Let s(y) be the second derivative of -y**5/50 + 2*y**4/15 - 12*y. Determine r so that s(r) = 0.
0, 4
Let g(m) = -2*m**3 + m**2 - 3*m - 3. Let x be g(-2). Suppose 0 = -3*k - y + 9, 2*k - x + 6 = 3*y. Find q such that 0*q**2 - q**2 - q + q**3 + q**k + 0*q**4 = 0.
-1, 0, 1
Let x = -452 + 452. Factor 0 + 4/3*n**2 - 2/3*n**3 + x*n.
-2*n**2*(n - 2)/3
Suppose 2*h = 1 + 7. Suppose 0 = -4*f - h*x + 24, -3*x - 8 = -3*f - 4*x. Find r such that 10*r**2 + f - 5*r**4 + 3 - 18*r**3 - 9*r**4 + 18*r = 0.
-1, -2/7, 1
Let j(y) be the second derivative of y**4/30 + y**3/15 - 2*y**2/5 - 19*y. Let j(g) = 0. Calculate g.
-2, 1
Let v(f) be the second derivative of -f**4/12 + f**3/6 - 5*f. Factor v(s).
-s*(s - 1)
Let z = 15 + -12. Factor -z*t**2 + 2*t + 3*t - 2*t.
-3*t*(t - 1)
Let h(c) = c**2 - 1. Let b be (5 + -2)*2/3. Let o be h(b). Suppose m**o + m**3 + m**4 - 2*m + m**4 - 2*m**2 = 0. What is m?
-1, 0, 1
Let y be (-3)/2*(-36)/27. Let t be y/8 + (2 - 2). Factor t*x - 1/2*x**2 + 0 + 1/4*x**3.
x*(x - 1)**2/4
Let p(o) be the first derivative of -2*o**6/9 - o**5/15 + 5*o**4/3 + 5*o**3/9 - 8*o**2/3 - 4*o/3 - 2. What is j in p(j) = 0?
-2, -1, -1/4, 1, 2
Let o(b) = -315*b**3 + 504*b**2 + 281*b + 23. Let m(w) = -79*w**3 + 126*w**2 + 70*w + 6. Let n(t) = 9*m(t) - 2*o(t). Factor n(z).
-(z - 2)*(9*z + 2)**2
Let k(z) = z**4 + 1. Let m(l) = -3*l**4 - 12*l**3 + 18*l**2 - 5. Let h(p) = 5*k(p) + m(p). Solve h(t) = 0 for t.
0, 3
Let r be 0/(-1) - 66/(-12). Let n = -29/6 + r. Find u, given that 2/3*u**4 + n*u**3 - 2*u**2 - 4/3 - 10/3*u = 0.
-1, 2
Let b(s) be the second derivative of -s**5/4 + 5*s**4/4 + 10*s**3/3 + 9*s. Factor b(q).
-5*q*(q - 4)*(q + 1)
Suppose 2*n = -0*n + 10. Let q be (-2 - (3 - n))/(-1). Factor 2/3*s**2 - 1/3*s + q - 1/3*s**3.
-s*(s - 1)**2/3
Suppose 5*g = 6*s - s, -4*s + g - 6 = 0. Let j be -1 + 2*(-3)/s. Factor 3*q**2 + 0*q**j + q**5 - 3*q + 1 + 2*q**3 - 3*q**4 - q**2.
(q - 1)**4*(q + 1)
Suppose 15 = 4*z - 1. Suppose 13 = 5*v + 3. Determine a so that -a**v + 0 - 1/3*a**z - a**3 - 1/3*a = 0.
-1, 0
Let w(s) be the third derivative of -s**8/23520 - s**7/2205 - s**6/630 + 7*s**4/24 - 2*s**2. Let y(n) be the second derivative of w(n). Factor y(i).
-2*i*(i + 2)**2/7
Let m(t) be the second derivative of t**9/10584 + t**8/2940 + t**7/2940 - 7*t**3/6 + t. Let g(u) be the second derivative of m(u). Factor g(h).
2*h**3*(h + 1)**2/7
Let l(c) = c + 1. Let z(b) = -3*b**3 + 7*b**2 - 5*b - 3. Let y(o) = -3*l(o) - z(o). Factor y(x).
x*(x - 2)*(3*x - 1)
Let q(r) be the first derivative of -10*r**3/21 + 3*r**2/7 + 3. Factor q(o).
-2*o*(5*o - 3)/7
Let w(a) be the first derivative of 1/10*a**6 - 4 + 3/5*a + 3/2*a**4 + 3/2*a**2 + 3/5*a**5 + 2*a**3. Determine j, given that w(j) = 0.
-1
Let y = -2 - -4. Suppose -2*r = 0, -3*r = -v - y*r + 34. Factor 5 - v*o + 10*o + 3 + 18*o**2 + 0.
2*(3*o - 2)**2
Let n be 135/(-6) - -4 - 4. Let q = 23 + n. Factor 1/2*v**3 - q*v - v**2 + 1.
(v - 2)*(v - 1)*(v + 1)/2
Let t(b) be the second derivative of -1/18*b**6 + 0 + 1/30*b**5 + 1/18*b**3 + 1/6*b**4 + 2*b - 1/42*b**7 - 1/6*b**2. Let t(a) = 0. Calculate a.
-1, 1/3, 1
Let t(n) be the third derivative of -n**7/735 - n**6/210 + n**4/42 + n**3/21 + n**2. Find h such that t(h) = 0.
-1, 1
Let k = -584 + 24529/42. Let n(l) be the second derivative of k*l**7 + 0*l**3 + 0*l**2 + 0*l**4 + 0*l**6 - 1/20*l**5 + 0 + 2*l. Factor n(r).
r**3*(r - 1)*(r + 1)
Suppose -5*h + 17 = 2. Let g(i) = -i**3 + 5*i**2 - 2*i - 6. Let v be g(4). Suppose 3*j - j - j**3 - 2*j**v - j**h + 2*j**4 = 0. Calculate j.
-1, 0, 1
Let i be (-2)/4 - (81/(-22) - -3). Let w be 54/88 - (-3)/(-12). Factor -2/11*v**5 - w*v**4 + 0*v + 0 + 0*v**2 - i*v**3.
-2*v**3*(v + 1)**2/11
Let k(t) be the third derivative of -2*t**5/225 + t**4/180 + 35*t**2. Factor k(z).
-2*z*(4*z - 1)/15
Suppose 3*q = 2*b + 11, -q + 2*b - 1 + 6 = 