t(-3). Let r be (y - -1)/(1/3). Factor -3*q + 2 - q - q**2 + r*q**2.
2*(q - 1)**2
Let i(s) = -2*s - 3. Let c be i(-3). Let y be 3*c/3 + 1. Suppose -2*p - p**2 + 2*p**2 + y*p - p**3 = 0. Calculate p.
-1, 0, 2
Let r(p) be the second derivative of 0*p**3 + 0*p**4 - 7*p - 1/165*p**6 - 1/110*p**5 + 0 + 0*p**2. Factor r(q).
-2*q**3*(q + 1)/11
Let q be (-4)/(-8)*0/4 + 3. Solve 0*j - 4/3*j**4 + 14/3*j**q + 0 - 14/3*j**5 + 4/3*j**2 = 0 for j.
-1, -2/7, 0, 1
Let u(k) be the first derivative of -k**6/6 - 3*k**5/5 - k**4/4 + k**3 + k**2 - 66. Suppose u(h) = 0. Calculate h.
-2, -1, 0, 1
Let x(t) be the second derivative of -t**4/30 + t**3/15 + 3*t. Factor x(p).
-2*p*(p - 1)/5
Suppose 5*t + 2*g = 26, -3*t = -4*t + 2*g - 2. Let w(y) be the first derivative of 7/4*y**2 + 5/6*y**3 + y + t. What is k in w(k) = 0?
-1, -2/5
Let g(k) be the first derivative of k**7/210 - k**5/60 - 4*k**2 + 1. Let i(l) be the second derivative of g(l). Factor i(f).
f**2*(f - 1)*(f + 1)
Let j(f) be the second derivative of 1/11*f**2 - 1/33*f**4 + 1/165*f**6 - 1/33*f**3 + 0 + 5*f + 1/55*f**5 - 1/231*f**7. Factor j(t).
-2*(t - 1)**3*(t + 1)**2/11
Let d(u) be the first derivative of u**9/9072 - u**7/1260 + u**5/360 + 2*u**3/3 + 2. Let r(p) be the third derivative of d(p). Determine g so that r(g) = 0.
-1, 0, 1
Let m(l) be the first derivative of -l**4/5 - 4*l**3/5 + 16. Solve m(u) = 0.
-3, 0
Let a be 0 + (-338)/(-90) - 8/40. Let -8/9*o**2 - 2*o**5 + 0*o + 0 - 14/3*o**4 - a*o**3 = 0. Calculate o.
-1, -2/3, 0
Let q(g) be the first derivative of -2*g**6/3 - 4*g**5/5 + 3*g**4 + 4*g**3/3 - 4*g**2 - 7. Suppose q(m) = 0. What is m?
-2, -1, 0, 1
Let t(v) be the third derivative of v**6/24 + 7*v**5/12 + 25*v**4/8 + 15*v**3/2 + 8*v**2. Determine p, given that t(p) = 0.
-3, -1
Let c(l) = -4*l - 5. Let j be c(-2). Let g be (-68)/(-18) + 2/9. What is i in 8/9*i**g - 2/9*i**2 - 2/3*i**j + 0 + 0*i = 0?
-1/4, 0, 1
Let h(w) be the second derivative of w**4/7 + 2*w**3/7 + 3*w**2/14 + w. Solve h(d) = 0 for d.
-1/2
Let d(a) be the first derivative of -a**7/252 + a**6/30 - 13*a**5/120 + a**4/6 - a**3/9 + 4*a + 6. Let f(s) be the first derivative of d(s). Solve f(l) = 0.
0, 1, 2
Let c be (-23379)/18*(-2)/(-3). Let d = -865 - c. Solve -d - 2/9*l**2 - 8/9*l = 0 for l.
-2
Let f(p) be the first derivative of -p**4/60 - p**3/30 + 3*p + 4. Let s(i) be the first derivative of f(i). Determine h so that s(h) = 0.
-1, 0
Factor 1/2*r**2 - 1/2*r + 1/2*r**3 - 1/2.
(r - 1)*(r + 1)**2/2
Let z = 148/105 - 4/15. Factor 2/7*a**3 + 0 + 8/7*a + z*a**2.
2*a*(a + 2)**2/7
Let m(p) be the first derivative of p**5/5 - p**3/3 - 6. Find n such that m(n) = 0.
-1, 0, 1
Let a be 6/(-12) - (-10)/4. Let b(k) be the third derivative of 1/132*k**6 - 5/132*k**4 + 1/165*k**5 + 0*k + 0 - k**a - 2/33*k**3. Factor b(y).
2*(y - 1)*(y + 1)*(5*y + 2)/11
What is l in -12/7*l**4 + 3/7*l**5 + 0*l + 18/7*l**2 + 0 + 3/7*l**3 = 0?
-1, 0, 2, 3
Let j(n) be the third derivative of 0*n**3 - 1/20*n**6 + 0 - 4*n**2 - 1/140*n**7 - 1/8*n**5 + 0*n - 1/8*n**4. Factor j(o).
-3*o*(o + 1)**2*(o + 2)/2
Let d(c) be the third derivative of -c**6/60 - c**5/5 - 3*c**4/4 + 29*c**2. Factor d(u).
-2*u*(u + 3)**2
Let h be (-7)/(-35)*26 + -5. Factor 2/5*q**2 - 2/5 + h*q**3 - 1/5*q.
(q - 1)*(q + 1)*(q + 2)/5
Let u(k) be the third derivative of -2*k**7/105 + k**6/15 + k**5/5 - 4*k**4/3 + 8*k**3/3 - 12*k**2. Factor u(h).
-4*(h - 2)*(h - 1)**2*(h + 2)
Let a(k) = 4*k**2 + 5*k + k**2 + 7 - 3*k**2 - 3. Let v be a(-3). Determine i, given that 6*i**3 + 2*i**2 + 7 - v - 4*i = 0.
-1, 0, 2/3
Let x(w) be the third derivative of w**7/70 + 7*w**6/480 - 11*w**5/240 - 7*w**4/96 - w**3/24 - w**2. Let x(u) = 0. What is u?
-1, -1/3, -1/4, 1
Suppose 5*k**2 - 1 - 4*k**2 + k**3 + 0 - 2*k + k = 0. What is k?
-1, 1
Let k(r) be the first derivative of r**4/54 + r**3/9 + 2*r**2/9 + 2*r + 5. Let l(z) be the first derivative of k(z). Factor l(a).
2*(a + 1)*(a + 2)/9
Suppose 0 = -5*r + 22 - 7. Let b = r - 0. Suppose 24/7*x**b + 2*x**4 + 6/7*x**2 + 0 - 4/7*x = 0. What is x?
-1, 0, 2/7
Let s be 10/(-176) + (-18)/(-99). Let o = 37/8 - s. Let o*z**4 + 7/2*z**5 - 5/2*z**3 + 0 - z - 9/2*z**2 = 0. Calculate z.
-1, -2/7, 0, 1
Let u(i) be the first derivative of -2/3*i**3 - 1 - 2*i + 2*i**2. Factor u(m).
-2*(m - 1)**2
Let j(n) be the second derivative of 1/70*n**5 + 0 - 1/21*n**3 - 3*n + 1/42*n**4 - 1/105*n**6 + 0*n**2. Factor j(h).
-2*h*(h - 1)**2*(h + 1)/7
Let l(k) be the first derivative of k**6/6 + 3*k**5/5 - 5*k**4/4 - k**3 + 2*k**2 - 12. Solve l(y) = 0 for y.
-4, -1, 0, 1
Let p(j) be the third derivative of 0*j**3 + 0 + 0*j - 1/24*j**4 - 5*j**2 + 1/120*j**6 + 0*j**5. Let p(x) = 0. Calculate x.
-1, 0, 1
Let g(c) = -c**4 - 3*c**3 + c**2 + 3*c + 2. Let a(x) = x**3 - x - 1. Let p(o) = -4*a(o) - 2*g(o). Factor p(z).
2*z*(z - 1)*(z + 1)**2
Let h(v) be the first derivative of 0*v + 4/5*v**5 - 2*v**2 - 10 - 3*v**4 + 4*v**3. Factor h(i).
4*i*(i - 1)**3
Let m(t) be the first derivative of -5 + 5/8*t**4 + t**2 + 13/6*t**3 - 2*t. Factor m(w).
(w + 1)*(w + 2)*(5*w - 2)/2
Find a such that 1 + 1/2*a - 1/2*a**2 = 0.
-1, 2
Let b(x) = -6*x**2 + 3*x + 8. Let m(v) = v**2 - v - 1. Let h be (-99)/21 + (-4)/14. Let c(f) = h*m(f) - b(f). Find g, given that c(g) = 0.
-3, 1
Let k(v) be the first derivative of 2*v**3/3 + 2*v**2 - 6*v + 19. Factor k(h).
2*(h - 1)*(h + 3)
Let s(u) be the second derivative of -u**7/189 + u**6/45 + u**5/90 - 7*u**4/54 + 4*u**2/9 - 16*u. Find d, given that s(d) = 0.
-1, 1, 2
Let l(o) = -1 + o**3 + 7*o**4 - o - 3*o**2 + 6*o - 3*o**4. Let w(d) = 15*d**4 + 3*d**3 - 11*d**2 + 19*d - 4. Let m(t) = 22*l(t) - 6*w(t). Factor m(p).
-2*(p - 1)**3*(p + 1)
Let f be -9*((-70)/15 + 4). Suppose 0 = -5*l - b - 3, -2*l + f*l + 12 = -4*b. Let 2/3*q + l + 2/3*q**2 = 0. What is q?
-1, 0
Let t = -143 - -146. Let v(p) = -p**2 + 4*p - 1. Let c be v(3). Factor c*l**t - 4/5*l + 0 - 6/5*l**2.
2*l*(l - 1)*(5*l + 2)/5
Let y(f) be the third derivative of -f**7/210 + f**6/420 + f**5/60 - f**4/84 + 7*f**2. Factor y(p).
-p*(p - 1)*(p + 1)*(7*p - 2)/7
Let w be 0/(2/(-1))*-1. Factor w*f + 2/5*f**3 + 0 + 0*f**2 + 2/5*f**5 + 4/5*f**4.
2*f**3*(f + 1)**2/5
Solve -2/3*v**3 - 2 - 2/3*v**2 + 10/3*v = 0 for v.
-3, 1
Suppose -2/5*x**2 - 1/10*x**3 - 1/2*x - 1/5 = 0. What is x?
-2, -1
Suppose 2*b - 2 = 4. Determine c, given that -1/3*c**4 + 0*c + 0*c**2 - 4/3*c**5 + 0*c**b + 0 = 0.
-1/4, 0
Find k, given that 2*k**3 - 5*k**3 + 4*k - k**3 + 0*k = 0.
-1, 0, 1
Let z = 21 + -17. Let y = z - 4. Factor 1/4*m**4 + 0*m**2 + 0*m + y + 1/4*m**3.
m**3*(m + 1)/4
Let b(j) be the first derivative of -2*j**3/33 + 18*j/11 - 14. Factor b(r).
-2*(r - 3)*(r + 3)/11
Let c(l) be the first derivative of l**5/240 - l**4/96 + l**2/2 - 3. Let f(a) be the second derivative of c(a). What is h in f(h) = 0?
0, 1
Suppose -5*t - 5 = -23*j + 18*j, -3*j = -4*t - 2. Let n be 12/(-50)*(-1 + -4). Solve -n*g - 4/5 - 2/5*g**j = 0.
-2, -1
Let z(u) be the first derivative of -u**8/210 - u**7/420 + u**6/45 + u**5/60 + u**3/3 + 2. Let f(x) be the third derivative of z(x). Factor f(g).
-2*g*(g - 1)*(g + 1)*(4*g + 1)
Factor -8 + 2*p**2 + 8 + 3*p**2.
5*p**2
Let y(g) be the third derivative of -2*g**7/105 - g**6/5 - 3*g**5/5 - 2*g**4/3 - 46*g**2. Factor y(s).
-4*s*(s + 1)**2*(s + 4)
Let 2*a**2 - 9*a**4 - 7*a**4 + 17*a**4 - 3 - 6*a**3 + a**5 + 5*a + 0 = 0. Calculate a.
-3, -1, 1
Let o be 474/9 - 4 - 1. Let f = -47 + o. Determine j so that 0 + 2/3*j**5 + 0*j - f*j**3 + 2/3*j**2 - 2/3*j**4 = 0.
-1, 0, 1
Factor -1/2*v**3 + 0 - 2*v**2 + 5/2*v.
-v*(v - 1)*(v + 5)/2
Let l be ((-15)/6)/((-1)/2). Let t(u) be the second derivative of -3*u + 1/16*u**l - 5/24*u**3 - 1/24*u**4 + 0 + 1/4*u**2. Factor t(p).
(p - 1)*(p + 1)*(5*p - 2)/4
Let v be (-1 + 0)/((-4)/8). Suppose u**3 + 0*u**v + 2*u**2 - 2*u**2 = 0. What is u?
0
Suppose -7*x = -2*x - 60. What is y in -3*y**2 - 7*y**3 + 4*y**3 - x + 12*y**2 = 0?
-1, 2
Let t(x) be the first derivative of x**7/1680 - x**3/3 + 2. Let f(p) be the third derivative of t(p). Find r such that f(r) = 0.
0
Let k(t) be the first derivative of 0*t**4 + 4/5*t**5 - 4/3*t**3 - t**2 + 3 + 1/3*t**6 + 0*t. Determine j so that k(j) = 0.
-1, 0, 1
Let m(h) = 8*h + 5. Let l(q) = q. Let o(r) = 6*l(r) - m(r). Let g be o(-5). Factor 7*s**4 + g*s**3 + 0*s - 2*s**2 + 0*s.
s**2*(s + 1)*(7*s - 2)