m(s) + 11*w(s). Let h be n(0). Factor -2*a**2 + 0*a + 3*a + a - h + 2*a.
-2*(a - 2)*(a - 1)
Let b(w) be the first derivative of -w**4/2 - 2*w**3/3 + 2*w**2 + 13. Determine q, given that b(q) = 0.
-2, 0, 1
Let n(u) be the first derivative of 2*u**3/33 - 2*u**2/11 + 7. Factor n(l).
2*l*(l - 2)/11
Let l(v) = -v**3 - 10*v**2 - 12*v - 13. Let o be l(-9). Factor o*q**3 + 0*q**3 + 27*q + 3*q**3 - 36*q**2 - 6 - 2*q**3.
3*(q - 1)**2*(5*q - 2)
Let h(r) be the second derivative of 5/98*r**7 + 5*r - 1/28*r**4 - 11/70*r**6 + 0*r**2 + 0 + 0*r**3 + 3/20*r**5. Determine z, given that h(z) = 0.
0, 1/5, 1
Suppose -1 = p - 0*p. Let s be (5/15)/(p/(-9)). Solve -9*d**2 - 2*d**4 + 3*d**2 - 6*d**3 + d - s*d = 0 for d.
-1, 0
Let r(s) be the first derivative of -s**3/5 + 3*s**2/5 - 10. Let r(f) = 0. What is f?
0, 2
Suppose -8*x = -x - 84. Let y = x - 10. Factor 0 - 3*d**4 + 0*d + 3/2*d**3 + 3/2*d**5 + 0*d**y.
3*d**3*(d - 1)**2/2
Let i(c) be the first derivative of c**2/2 + 14*c + 1. Let g be i(-12). What is a in -3/2*a**g + 3/2*a + 1/2*a**3 - 1/2 = 0?
1
Let o(x) be the second derivative of x**4/3 - 8*x. Factor o(m).
4*m**2
Let u(g) = -g**3 + 4*g. Let t(s) = 2*s**3 - 12*s. Let a(q) = -3*t(q) - 10*u(q). Factor a(y).
4*y*(y - 1)*(y + 1)
Let r(h) be the third derivative of -h**8/1680 - h**7/210 - 3*h**6/200 - 7*h**5/300 - h**4/60 - 4*h**2. Factor r(i).
-i*(i + 1)**3*(i + 2)/5
Let h be ((-15)/105 - 5/14)/(-1). Factor -1 - 1/2*p**3 + h*p + p**2.
-(p - 2)*(p - 1)*(p + 1)/2
Let g(b) = -32*b**3 - 24*b**2 + 12*b + 4. Let v(f) = -f**3 + f. Let c(i) = -2*g(i) + 36*v(i). Factor c(q).
4*(q + 1)**2*(7*q - 2)
Let r = -6 + 9. Let 8*f**r - 4 - 11*f + 40*f**4 - 36*f**4 + 3*f = 0. What is f?
-1, 1
Let n(i) be the second derivative of -1/60*i**5 + 0 - 1/126*i**7 - i + 0*i**3 - 1/45*i**6 + 0*i**2 + 0*i**4. Factor n(m).
-m**3*(m + 1)**2/3
Factor 3/5*j**3 + 0 + 3/5*j - 6/5*j**2.
3*j*(j - 1)**2/5
Let m(x) = x**3 + 2*x**2 - 2*x + 1. Let z be m(-3). Let b be (2 + -5)/(z/2). Factor -2/3*f + 0 - 5/3*f**2 - 4/3*f**b - 1/3*f**4.
-f*(f + 1)**2*(f + 2)/3
Let g(s) be the first derivative of -s**6/120 - s**5/40 - s**4/48 - 7*s - 3. Let t(z) be the first derivative of g(z). Factor t(q).
-q**2*(q + 1)**2/4
Let r(b) = 20*b**3 - 10*b**2. Let a(l) = -21*l**3 + 10*l**2. Let k(f) = -5*a(f) - 4*r(f). Factor k(d).
5*d**2*(5*d - 2)
Factor -4/9*k**3 + 4/9*k + 2/9*k**4 + 0*k**2 - 2/9.
2*(k - 1)**3*(k + 1)/9
Let t(i) be the first derivative of 2*i**5/95 - i**4/38 - 2*i**3/57 + i**2/19 + 10. Suppose t(l) = 0. Calculate l.
-1, 0, 1
Let l(t) = t**5 + 2*t**4 + 4*t**3 + 2*t**2 - t. Let y(c) = -c**5 - c**4 - c**3 - c**2. Let p(z) = 3*l(z) + 6*y(z). Suppose p(q) = 0. Calculate q.
-1, 0, 1
Let p = -4 + 7. Suppose -p*r = r - 8. Find m such that -m + 2*m**r + 2*m**2 - m**2 = 0.
0, 1/3
Let j be (22/8 - 0) + 23 + -25. Let -1/4*n**4 + j*n**2 + 1/4*n**3 - 1/4*n - 1/2 = 0. Calculate n.
-1, 1, 2
Let p(j) = -j**3 + j**2 - j + 2. Let i be p(0). Let g(q) be the second derivative of -2*q - 1/2*q**i - 7/24*q**4 + 0 - 3/4*q**3. Solve g(s) = 0.
-1, -2/7
Suppose 2 = 2*h + 4. Let s be h - -2 - (-2)/(-2). Suppose s*t**2 + 2/7*t**3 + 0 - 2/7*t = 0. What is t?
-1, 0, 1
Let y(d) be the third derivative of -d**5/240 + d**4/96 + d**3/12 - 5*d**2. Let y(w) = 0. Calculate w.
-1, 2
Let b(t) be the first derivative of -45/4*t**4 - 5*t**5 - 2*t**2 - 8*t**3 - 1 + 0*t. Determine c, given that b(c) = 0.
-1, -2/5, 0
Factor -8/9*v**4 + 25/9*v**3 - 3*v**2 + 11/9*v - 1/9.
-(v - 1)**3*(8*v - 1)/9
Let y = 597/2 - 298. Determine s, given that 0 + 1/2*s - 1/2*s**3 + y*s**4 - 1/2*s**2 = 0.
-1, 0, 1
Let s(l) be the first derivative of -4*l**5/5 - 2*l**4 + 28*l**3/3 - 8*l**2 + 27. What is v in s(v) = 0?
-4, 0, 1
Let p(g) be the first derivative of 1 + 4*g + 0*g**4 + 0*g**2 + 0*g**5 + 0*g**3 - 1/60*g**6. Let l(u) be the first derivative of p(u). Factor l(a).
-a**4/2
Let n(h) be the second derivative of -4*h - h**4 + 0 - 1/30*h**6 + 0*h**2 - 4/3*h**3 - 3/10*h**5. Factor n(b).
-b*(b + 2)**3
Suppose -s + 2 = 3*b - 1, -3*b + 3 = 2*s. Suppose 2*l - l - 3 = s. Factor d**3 + d**4 - d**3 - 3*d**2 + 0*d**l - 2*d**3 + 4 + 4*d.
(d - 2)**2*(d + 1)**2
Factor -1/5*g**2 - 28/5*g - 196/5.
-(g + 14)**2/5
Let n be (-6)/(-3 + 7 + -2). Let h = -1 - n. Determine l, given that -2*l**2 + 4*l**2 - 4*l**2 - 2*l**2 - 2*l**5 + 4*l**4 + h*l**3 = 0.
-1, 0, 1, 2
Let t(k) be the first derivative of k**6/30 - k**5/60 - k**4/12 - k**3 - 1. Let z(a) be the third derivative of t(a). Let z(r) = 0. Calculate r.
-1/3, 1/2
Let d(q) = 4*q**2 + q + 3. Let r(n) be the first derivative of n**3/3 + n + 2. Let c(g) = -d(g) + 3*r(g). Factor c(u).
-u*(u + 1)
Factor 1/5 - 2/5*m + 0*m**2 + 2/5*m**3 - 1/5*m**4.
-(m - 1)**3*(m + 1)/5
Let f(i) be the first derivative of 4*i**3/3 - 10*i**2 + 16*i - 19. Find a, given that f(a) = 0.
1, 4
Let j(q) be the third derivative of -1/12*q**4 + 17/30*q**6 + 0 + 0*q + 2*q**2 + 2/3*q**3 - 26/105*q**7 + 1/24*q**8 - 8/15*q**5. Factor j(z).
2*(z - 1)**4*(7*z + 2)
Let z(a) = -a**2 - 4*a + 4. Let q be z(-4). Factor 1 + 8 - 1 + 16*y + q*y**2 + 8.
4*(y + 2)**2
Suppose -4*k + 5 = 3*q - 14, -4*q - 8 = -3*k. Let d = 7 - k. Let -2 + 6*a - 2*a**3 - 3*a - d*a**2 + 5*a**2 - a = 0. Calculate a.
-1, 1
Let y = 542 - 539. Factor 0 + 2*s**y + 7/6*s**4 - 1/3*s + 1/2*s**2.
s*(s + 1)**2*(7*s - 2)/6
Let x(u) be the first derivative of u**3/21 - 2*u**2/7 + 3*u/7 - 3. Factor x(a).
(a - 3)*(a - 1)/7
Let x(m) = 6*m**2 + 0*m**3 - m**3 + 0*m**2 + 4 - 5*m. Let h be x(5). Factor -i + i**3 + 4*i**4 - i**4 - 4*i**h + i**2.
-i*(i - 1)**2*(i + 1)
Let f(q) be the first derivative of 0*q**2 + 2/15*q**5 - 1/12*q**4 + 0*q + 0*q**3 + 4 - 1/18*q**6. Let f(d) = 0. What is d?
0, 1
Let f(j) be the first derivative of -5*j**4/16 + j**3/6 + 5*j**2/8 - j/2 - 4. Factor f(s).
-(s - 1)*(s + 1)*(5*s - 2)/4
Let 0*k + 0*k**2 - 2/7*k**4 - 2/7*k**5 + 0 + 4/7*k**3 = 0. What is k?
-2, 0, 1
Let z(b) be the second derivative of b**4/3 + 2*b**3 + 4*b**2 + 33*b. Determine m so that z(m) = 0.
-2, -1
Let q(o) be the first derivative of -o**6/6 + 3*o**4/4 - 2*o**3/3 - 16. Factor q(b).
-b**2*(b - 1)**2*(b + 2)
Suppose -2 = -3*w + 1. Factor -1/2*b**3 + 2*b**2 + w - 5/2*b.
-(b - 2)*(b - 1)**2/2
Let l(b) be the second derivative of -b + 0*b**3 - b**5 + 11/10*b**4 + 7/25*b**6 + 0 - 4/5*b**2. Let l(r) = 0. Calculate r.
-2/7, 2/3, 1
Let h(z) be the second derivative of z**9/1512 + z**8/315 + z**7/180 + z**6/270 + z**3/3 + 8*z. Let d(k) be the second derivative of h(k). Factor d(x).
2*x**2*(x + 1)**2*(3*x + 2)/3
Let x(w) be the first derivative of -w**5/30 + 5*w**4/84 + 2*w**3/21 - 5*w**2/2 - 1. Let f(c) be the second derivative of x(c). Suppose f(a) = 0. Calculate a.
-2/7, 1
Let l be (3 - -1)/(-6 - (-114)/12). Let v be (2/28)/(2/32). Factor 0 - 2/7*g**3 + l*g**2 - v*g.
-2*g*(g - 2)**2/7
Let u(i) be the second derivative of 0 + 1/27*i**3 + 0*i**2 - 1/90*i**5 - 1/54*i**4 + 1/135*i**6 - 2*i. Factor u(s).
2*s*(s - 1)**2*(s + 1)/9
Let b be (-1 - 0)/(8/16). Let m(t) = -4*t**2 + 2. Let q(c) = -c**3 - 8*c**2 - c + 5. Let o(z) = b*q(z) + 5*m(z). Factor o(i).
2*i*(i - 1)**2
Let r(m) = -4*m**3 + m**2 - 5*m - 1. Let b(c) = 9*c**3 - c**2 + 10*c + 3. Let s(t) = -3*b(t) - 7*r(t). Factor s(w).
(w - 2)*(w - 1)**2
Let a(k) be the third derivative of 1/6*k**6 + 4/9*k**3 + 5/63*k**7 + 0 - 11/90*k**5 + 0*k - 1/3*k**4 - k**2. Let a(z) = 0. What is z?
-1, 2/5
Factor -7*h**3 + 9*h**3 + 2*h**2 - 4*h**3.
-2*h**2*(h - 1)
Let f be ((-13)/39)/(1/(-9)). Let b be -1 - (f + (-27)/6). Factor -5/2*g**3 - 2*g**4 - b*g**2 + 0 + 0*g.
-g**2*(g + 1)*(4*g + 1)/2
Let w(b) = b**3 + 4*b**2 + 2*b - 2. Let q be w(-2). Factor 3*x**2 - 2 - 6*x + 6*x**2 - x**q.
2*(x - 1)*(4*x + 1)
Let h(c) be the first derivative of -c**5/300 + c**4/120 - 4*c**2 + 4. Let o(k) be the second derivative of h(k). Factor o(p).
-p*(p - 1)/5
Suppose 0 = -20*v + 19*v + 2. Let r = -8 - -13. Find d such that 2 - v*d**2 + r*d - d**2 + 0*d - 5*d**3 + d**2 = 0.
-1, -2/5, 1
Factor 1 - 4/3*z - 2/3*z**2 - 1/3*z**4 + 4/3*z**3.
-(z - 3)*(z - 1)**2*(z + 1)/3
Let v be (-1 + 1)/((-2)/(-2)). Let x = -411 + 3701/9. Factor -x*l**3 + v + 2/9*l + 0*l**2.
-2*l*(l - 1)*(l + 1)/9
Suppose 30 = 2*y + 18. Let x(q) be the first derivative of 0*q - 4/3*q**3 - q**2 + 1/3*q**y + 4/5*q**5 + 3 + 0*q**4. Factor x(v).
2*v*(v - 1)*(v + 1)**3
Let v 