 = 0?
0, 1
Let p = 8 + -4. Let o(x) be the first derivative of x**p - 2 - 2/3*x**3 + 0*x**2 + 0*x - 2/5*x**5. Factor o(s).
-2*s**2*(s - 1)**2
Let -4/9*q**4 - 2/9*q**5 + 8/9*q + 2/3*q**3 + 16/9*q**2 + 0 = 0. Calculate q.
-2, -1, 0, 2
Let b(r) be the second derivative of 1/3*r**2 + 0 + 11/36*r**4 + 5*r + 13/18*r**3. Determine u so that b(u) = 0.
-1, -2/11
Let x(v) = 3*v - 1. Let a be x(2). Suppose -4*r = -a*r. Factor 0*t**2 - 6*t**2 + 9*t - 3 + r.
-3*(t - 1)*(2*t - 1)
Let c be 2/7 + 24/14. Let g(x) be the second derivative of 0*x**2 - 1/2*x**4 - 1/15*x**6 + 0 - c*x - 1/3*x**3 - 3/10*x**5. Factor g(u).
-2*u*(u + 1)**3
Let o(f) = -f**3 - 9*f**2 - 9. Let y(n) = -4*n**2 - 4. Let t(z) = 4*o(z) - 9*y(z). Factor t(c).
-4*c**3
Let z = 113/85 + 1/255. Suppose 4/3*y**2 + 0 + 2/3*y - z*y**4 - 2/3*y**5 + 0*y**3 = 0. What is y?
-1, 0, 1
Let k(d) = -5*d**3 + 12*d**2 + 6*d - 5. Let o(x) = -5*x**3 + 13*x**2 + 6*x - 6. Let u(r) = -6*k(r) + 5*o(r). Factor u(i).
i*(i - 2)*(5*i + 3)
Let x(l) be the first derivative of -1/2*l**2 + 3*l - 1/12*l**4 + 1/3*l**3 - 3. Let i(u) be the first derivative of x(u). Factor i(g).
-(g - 1)**2
Let a(i) be the third derivative of -11*i**5/60 - i**4/4 - 2*i**3/3 - i**2. Let t(h) = -h**2 - h - 1. Let l(f) = a(f) - 4*t(f). Factor l(o).
-o*(7*o + 2)
Let k(a) be the first derivative of -a**5/10 + a**4/8 + a**3/2 - a**2/4 - a - 20. Factor k(v).
-(v - 2)*(v - 1)*(v + 1)**2/2
Let m(u) be the first derivative of u**3/9 - 2*u**2/3 + 5. Factor m(y).
y*(y - 4)/3
Let w(f) be the second derivative of -f**6/57 - 13*f**5/190 - 2*f**4/57 + 4*f**3/57 - 6*f. What is b in w(b) = 0?
-2, -1, 0, 2/5
Let j(u) be the first derivative of -u**6/14 - 9*u**5/35 - 3*u**4/14 + 2*u**3/7 + 9*u**2/14 + 3*u/7 - 5. Let j(x) = 0. What is x?
-1, 1
Let f be 25/30*27/9. Factor -s + 0 + f*s**2.
s*(5*s - 2)/2
Factor -9*p**3 - 2*p**5 - 5*p + 3*p + 13*p**3.
-2*p*(p - 1)**2*(p + 1)**2
Let q(s) be the second derivative of s**4/12 + s**3/3 + s**2/2 + s. What is x in q(x) = 0?
-1
Let n be 10/60 - 23/(-6). Find s, given that -5*s**3 + 3*s**2 - 2*s + 2*s + 3*s**n + 11*s**3 = 0.
-1, 0
Let s(x) be the first derivative of -x**5/90 - x**4/18 - x**3/9 + 5*x**2/2 + 2. Let b(p) be the second derivative of s(p). Let b(f) = 0. What is f?
-1
Factor 1 - i**2 + 1/3*i**3 - 1/3*i.
(i - 3)*(i - 1)*(i + 1)/3
Let u = -14 - -27. Suppose f + u = 4*h, 5*h + f + 9 = 23. Find y, given that -5*y - y**h - y**4 + 5*y = 0.
-1, 0
Let x(z) be the first derivative of -4*z**4/3 - 8*z**3/9 + 5*z**2/2 + 3*z - 2. Let x(r) = 0. Calculate r.
-3/4, 1
Let b(q) be the third derivative of q**10/15120 + q**4/12 - 2*q**2. Let a(g) be the second derivative of b(g). Factor a(u).
2*u**5
Let n = 11 + -11. Let u(p) be the third derivative of 2*p**2 - 1/160*p**6 - 1/2*p**3 + 0*p**4 + 0*p + n + 3/80*p**5. Find d, given that u(d) = 0.
-1, 2
Factor -2/3 - 2/3*y**2 - 4/3*y.
-2*(y + 1)**2/3
Let -3/4*w**2 + 3/4*w**3 - 15/4*w - 9/4 = 0. What is w?
-1, 3
Let d be (-16)/(-10) + (-2)/(-5). Suppose 5*l - d*l - 13 + 9*l**2 + 7 = 0. Calculate l.
-1, 2/3
Let a be ((-20)/(-24)*2)/2. Let d(r) be the first derivative of 1 + 0*r - 1/2*r**2 + a*r**3. Factor d(b).
b*(5*b - 2)/2
Let r(g) be the second derivative of 0*g**3 - 2/5*g**6 + 0*g**2 + 3/20*g**5 + 1/6*g**7 + 0 + 1/6*g**4 + 7*g. Factor r(v).
v**2*(v - 1)**2*(7*v + 2)
Let c = -3 + 7. Factor 6*l**2 + 2 - 18*l - 18*l**5 + 66*l**c + 54*l**2 + 0 - 92*l**3.
-2*(l - 1)**3*(3*l - 1)**2
Solve -3*g**3 + 6*g - g**3 + 5*g**3 - g**2 - 2*g**3 = 0.
-3, 0, 2
Let u be (-3 - -11)*1/2. Find g such that -g + 9*g**3 - 4*g**3 - 7*g**2 - 2*g**4 + u*g**2 + 1 = 0.
-1/2, 1
Factor 44*b**3 - 20*b**3 - 20 - 29*b**3 + 15*b**2.
-5*(b - 2)**2*(b + 1)
Let x(y) = -y**3 + 1. Let c be x(1). Let s(q) be the first derivative of -1/4*q**6 + 2/5*q**5 + c*q + 1/8*q**4 - 1/3*q**3 + 0*q**2 + 1. Factor s(w).
-w**2*(w - 1)**2*(3*w + 2)/2
Let q(d) be the second derivative of d**9/68040 - d**8/15120 + d**7/11340 + d**4/6 + 2*d. Let v(r) be the third derivative of q(r). Factor v(y).
2*y**2*(y - 1)**2/9
Let o = -6 - -6. Suppose o = -m - m. Let -8/11 + m*y + 6/11*y**2 + 2/11*y**3 = 0. Calculate y.
-2, 1
Factor -4/7*f**2 + 2/21*f**4 + 0 + 0*f + 2/21*f**3.
2*f**2*(f - 2)*(f + 3)/21
Let m be ((-1)/(-35))/(5/1070). Let p = 32/5 - m. Determine l so that 2/7*l**4 + p*l**5 + 0*l**2 + 0 + 0*l**3 + 0*l = 0.
-1, 0
Let h(m) be the second derivative of m**4/18 - 2*m**3/9 - m**2 + 2*m. Determine x, given that h(x) = 0.
-1, 3
Let f(p) be the second derivative of p**6/1980 + p**5/165 + p**4/33 - p**3/2 - 5*p. Let d(o) be the second derivative of f(o). Find j such that d(j) = 0.
-2
Let s(m) be the second derivative of 2*m**6/105 + 4*m**5/35 - 2*m**4/7 - 8*m**3/21 + 10*m**2/7 + 2*m. Suppose s(d) = 0. What is d?
-5, -1, 1
Let t(n) be the second derivative of -n**8/1848 - n**7/1155 + n**6/660 + n**5/330 - 5*n**2/2 - 4*n. Let j(i) be the first derivative of t(i). Factor j(z).
-2*z**2*(z - 1)*(z + 1)**2/11
Let g(l) = -l - 1. Let h(m) = 5*m + 5. Let o(q) = -4*g(q) - h(q). Let k be o(-3). Factor 2*v + 4 + v**k - 4 - 3*v.
v*(v - 1)
Let y = -7 + 2. Let i = -1 - y. Factor 0*l + 0 - 1/3*l**2 - 1/3*l**5 + 1/3*l**i + 1/3*l**3.
-l**2*(l - 1)**2*(l + 1)/3
Let s be (45/12)/5 + (-65)/(-20). What is u in 0 - 1/5*u**s + 0*u - 1/5*u**3 + 2/5*u**2 = 0?
-2, 0, 1
Let y(o) = -o**3 - 8*o**2 - 12*o + 2. Let a be y(-6). Determine u, given that 0 - 4/5*u**2 + 0*u + 2*u**3 + 4/5*u**4 - a*u**5 = 0.
-1, 0, 2/5, 1
Suppose 23 = 7*z + 2. Let j(t) be the first derivative of 27*t + z*t**3 - 27/2*t**2 + 3 - 1/4*t**4. Factor j(c).
-(c - 3)**3
Suppose -2*r + 8 = -0. Let y be 6/(-12)*(-2)/r. Let -y*c + 0 + 1/4*c**2 = 0. Calculate c.
0, 1
Let m = 1792/9 - 198. Factor 4/9*p + 0 + m*p**2.
2*p*(5*p + 2)/9
Let b(d) be the second derivative of -1/66*d**4 - 8*d + 0 + 0*d**2 + 1/11*d**3. Solve b(j) = 0 for j.
0, 3
Let j(r) = r**3 + r**2 - r - 1. Let o(w) = 4*w**3 + w**2 + w + 1. Let k(m) = 2*j(m) + 2*o(m). Factor k(y).
2*y**2*(5*y + 2)
Let s(y) = -4*y**2 + 4*y + 4. Let n(c) = 4*c**2 - 4*c - 3. Let z(j) = -4*n(j) - 3*s(j). Suppose z(l) = 0. What is l?
0, 1
Let q(l) be the first derivative of 2*l**3/15 + l**2/5 - 4*l/5 + 4. Determine c so that q(c) = 0.
-2, 1
Let j(v) be the second derivative of 0 - 1/36*v**7 + 1/18*v**3 - 19/180*v**6 - 1/72*v**4 - 1/8*v**5 - 3*v + 0*v**2. Find l such that j(l) = 0.
-1, 0, 2/7
Let g(w) be the first derivative of -2*w**2 + 4 - 2/3*w**3 - 2*w. Factor g(u).
-2*(u + 1)**2
Suppose 4*z - 12 - 10 = 5*w, -z - 3*w - 3 = 0. Factor 0*j**2 - 3/2*j + 1/2*j**z - 1.
(j - 2)*(j + 1)**2/2
Let y(p) be the third derivative of p**5/48 + 5*p**4/48 + 5*p**3/24 - 48*p**2. Factor y(f).
5*(f + 1)**2/4
Suppose 0*t - 18 = -3*t. Let n be ((-8)/t)/((-2)/3). Factor -2*m**2 + 15*m - 6 - 5*m**2 + 20*m**n + 8*m**2.
3*(m + 1)*(7*m - 2)
Let m(u) = u**3 - 6*u**2 + 7*u - 6. Let o be (-1)/5 - (-104)/20. Let p be m(o). Suppose -2/3*k**3 - 8*k**p + 2/3*k**2 + 0*k + 0 = 0. Calculate k.
-1/3, 0, 1/4
Let o(u) be the first derivative of -u**6/6 + 2*u**5/5 + u**4/2 - 8*u**3/3 + 7*u**2/2 - 2*u + 18. Let o(t) = 0. Calculate t.
-2, 1
Suppose 564 = 77*y - 30*y. Determine f, given that y*f + 4*f**3 + 11*f**2 + 9/2 + 1/2*f**4 = 0.
-3, -1
Let b(w) = 4*w**5 + 5*w**4 - 5*w**3 - 4*w**2 + w + 5. Let y(v) = v**5 + v**4 - v**3 + 1. Let m(z) = -4*b(z) + 12*y(z). Solve m(q) = 0.
-2, -1, 1
Let j(i) be the first derivative of 0*i**2 + 1/1260*i**6 + 1/84*i**4 - 1/210*i**5 - 2/3*i**3 - 2 + 0*i. Let k(r) be the third derivative of j(r). Factor k(g).
2*(g - 1)**2/7
Factor 0*u**2 - 2/9*u**3 + 0 + 2/9*u.
-2*u*(u - 1)*(u + 1)/9
Let b be ((-4)/(-6))/((-4)/18). Let w be (b - 16/(-6))*-1. Factor 2/3*f + 0 - w*f**3 - 1/3*f**2.
-f*(f - 1)*(f + 2)/3
Let h be (1 + -2)/((-2)/(-4)). Let k be ((-3)/h)/((-81)/(-12)). Let k*c**2 - 2/9 + 0*c = 0. Calculate c.
-1, 1
Let m(p) = p**2 - p. Let l(u) = -u**3 - u + 1. Let b(c) = -12*c**3 + 18*c**2 - 18*c + 15. Let r(s) = b(s) - 9*l(s). Let f(x) = 18*m(x) - r(x). Factor f(v).
3*(v - 2)*(v + 1)**2
Let z be (-10)/(-35) + 23/(-7). Let q be -1*(-3 + (-9)/z). Factor 0 + 2/9*u**2 + q*u - 4/9*u**3 + 2/9*u**4.
2*u**2*(u - 1)**2/9
Let m(c) be the second derivative of -c**6/15 + c**5/4 - c**4/12 - c**3/3 + 8*c. Suppose m(y) = 0. What is y?
-1/2, 0, 1, 2
Let p(u) be the first derivative of -4*u**3/3 - 8*u**2 - 16*u 