e 2/7*d**3 - 2/7*d - 2/7*d**4 + j*d**2 + 0 = 0. Calculate d.
-1, 0, 1
Let d(f) be the second derivative of f**6/540 - f**5/135 + f**4/108 + f**2/2 - f. Let b(q) be the first derivative of d(q). Factor b(l).
2*l*(l - 1)**2/9
Let t(g) = 1458*g**4 + 482*g**3 - 756*g**2 + 200*g - 16. Let w(s) = -s**3. Let x(u) = -t(u) + 4*w(u). Find d, given that x(d) = 0.
-1, 2/9
Let b(o) be the third derivative of -o**6/120 - o**5/60 + o**4/24 + o**3/6 - 5*o**2. Find l, given that b(l) = 0.
-1, 1
Let d = 30 - 3. Suppose -2*b = d - 35. Solve 0*a**2 + 0 + 0*a + 4/5*a**b - 2/5*a**3 - 2/5*a**5 = 0.
0, 1
Let l(z) = 4*z - 3. Let q be l(2). Let m be (q + -5)*(1 - 0). Let m*s + 1/4*s**2 + 0 = 0. What is s?
0
Let m(b) = -b**2 - 2*b + 7. Let g be m(-3). Let a(l) be the third derivative of -4/3*l**3 - l**2 + 0 + 0*l - 49/30*l**5 + 7/3*l**g. Factor a(p).
-2*(7*p - 2)**2
Let f = 139 - 137. Let s(y) be the first derivative of 1 - 7/2*y**6 + 3*y**5 - 3*y**f + 0*y - 5*y**3 + 27/4*y**4. Solve s(m) = 0 for m.
-1, -2/7, 0, 1
Let x(w) be the second derivative of w**5/80 + w**4/24 - 3*w. Solve x(q) = 0.
-2, 0
Suppose 3*h - 35 = -5*b, -5*h + 1 = -b - 20. Suppose -3*v + 1 = -h. What is l in -1 - 4*l - 3*l**2 - l + v + 1 = 0?
-2, 1/3
Factor -16/9 - 2/9*s**3 - 4/3*s**2 - 8/3*s.
-2*(s + 2)**3/9
Let u be 285/12 + (-1)/4. Let h = -22 + u. Factor 3/2 + 0*f - h*f**2.
-3*(f - 1)*(f + 1)/2
Suppose -2*b + 55 = 3*b. Let 7*w**2 - 4*w**2 - 20*w - 8 - b*w**2 = 0. What is w?
-2, -1/2
Let -3*d**3 + 22*d**2 - 12*d**2 - 13*d**2 = 0. What is d?
-1, 0
Suppose 0 = -5*u + 2*u. Let f(r) be the second derivative of u*r**2 + 1/30*r**6 - 1/42*r**7 + 0*r**5 - r + 0*r**3 + 0*r**4 + 0. Factor f(v).
-v**4*(v - 1)
Let n(l) = 49*l**2 - 28*l + 8. Let c(j) = -2 - 1 - 4 + 6. Let u(x) = -12*c(x) - 3*n(x). What is w in u(w) = 0?
2/7
Let t(s) be the second derivative of 6*s + 3/2*s**5 - 5/9*s**6 + 4/9*s**3 - 4/3*s**4 + 0*s**2 + 0. Factor t(m).
-2*m*(m - 1)*(5*m - 2)**2/3
Let x(q) = -q. Let g be x(-1). Solve g + 24*b - 24*b - b**2 = 0 for b.
-1, 1
Let u(b) be the third derivative of -b**7/525 - b**6/5 - 9*b**5 - 225*b**4 - 3375*b**3 + 20*b**2. Let u(t) = 0. What is t?
-15
Let z(x) be the third derivative of x**5/75 - x**4/10 + 19*x**2. Factor z(t).
4*t*(t - 3)/5
Let a(s) = -s**4 + s**2 - 1. Let w(z) = 4*z**4 + 2*z**3 - 3*z**2 + 3. Let i(k) = 6*a(k) + 2*w(k). Factor i(d).
2*d**3*(d + 2)
Let g(v) = -v**2 - v - 2. Let u(c) = 5*c**2 + 6*c + 11. Suppose 3*z - 2*x - 22 = 42, 0 = -5*z + x + 109. Let h(d) = z*g(d) + 4*u(d). Factor h(t).
-2*t*(t - 1)
Determine c, given that 0*c**2 - 6/7*c**3 - 8/7*c**4 + 0*c + 0 - 2/7*c**5 = 0.
-3, -1, 0
Let n(f) = -154*f**4 + 217*f**3 + 2*f**2 - 60*f - 12. Let q(a) = -153*a**4 + 216*a**3 + 3*a**2 - 60*a - 12. Let w(i) = -6*n(i) + 7*q(i). Factor w(v).
-3*(v - 1)**2*(7*v + 2)**2
Let m(g) = 25*g**5 + 29*g**4 - 77*g**3 - 137*g**2 - 70*g - 12. Let z(w) = w**5 - w**4 + w**3 + w**2 - w. Let q(p) = m(p) + 2*z(p). Find k such that q(k) = 0.
-1, -2/3, -1/3, 2
Let m(k) be the second derivative of -k**6/150 - k**5/100 + k**4/20 + k**3/30 - k**2/5 + 6*k. Suppose m(v) = 0. Calculate v.
-2, -1, 1
Let f(o) be the first derivative of o**6/15 - 4*o**5/25 + 4*o**3/15 - o**2/5 - 17. Factor f(a).
2*a*(a - 1)**3*(a + 1)/5
Suppose 3*i - 9 = 0, -48 = -3*n - 0*i - 2*i. Let d = 29/2 - n. Find u such that u - d*u**2 + 0 = 0.
0, 2
Let g(p) be the third derivative of p**6/80 - 3*p**5/20 + 3*p**4/4 - 2*p**3 + 6*p**2. Factor g(l).
3*(l - 2)**3/2
Let z(j) be the first derivative of 16/11*j - 4*j**2 + 140/33*j**3 - 25/22*j**4 + 3. Factor z(l).
-2*(l - 2)*(5*l - 2)**2/11
Let p(f) be the third derivative of 7*f**2 + 7/120*f**6 + 3/16*f**4 + 1/6*f**3 + 0 + 0*f + 1/672*f**8 + 2/15*f**5 + 1/70*f**7. Factor p(h).
(h + 1)**4*(h + 2)/2
Suppose -25 = -5*u - 5*x, u = x + 2 + 3. Suppose 7*q**2 + q**3 + 0*q**5 + q**4 - 8*q**2 - q**u = 0. Calculate q.
-1, 0, 1
Let v(m) = 27*m - 27. Let j be v(1). Find q, given that -2*q**2 - 2*q + 7/2*q**5 + j + 27/2*q**3 - 13*q**4 = 0.
-2/7, 0, 1, 2
Let n be 1100/99 + -11 - 2/(-9). Factor n + 1/3*x**2 - 2/3*x.
(x - 1)**2/3
Let d be (3/5)/(3/2). Find f such that 2/5*f**4 + 0*f + 4/5*f**3 + d*f**2 + 0 = 0.
-1, 0
Suppose 1/5*a**3 + 0*a + 0*a**2 + 0 = 0. Calculate a.
0
Let x(f) = f**2 + f. Let o(b) = 1. Let j(g) = -o(g) - x(g). Let a(c) = c**2 + 3*c + 1. Let r(z) = -3*a(z) - 5*j(z). Determine t, given that r(t) = 0.
1
Suppose -2/13*g**5 - 18/13 + 6/13*g**4 + 12/13*g**3 - 20/13*g**2 - 42/13*g = 0. Calculate g.
-1, 3
Let o(l) be the third derivative of l**7/105 + l**6/60 - l**5/10 - l**4/12 + 2*l**3/3 - 24*l**2. Factor o(g).
2*(g - 1)**2*(g + 1)*(g + 2)
Let g(m) be the third derivative of -2*m**2 + 2/3*m**3 + 5/12*m**4 + 0 + 1/60*m**6 + 2/15*m**5 + 0*m. Factor g(t).
2*(t + 1)**2*(t + 2)
Suppose -5*r = -4 - 6. Let d(h) be the second derivative of 1/3*h**r - 4/9*h**3 + 0 - 2*h + 2/9*h**4. Let d(n) = 0. Calculate n.
1/2
Let i(y) = 12*y**2 + 7*y. Let c(p) = -8*p**2 - 5*p. Let x(w) = 7*c(w) + 5*i(w). Solve x(d) = 0 for d.
0
Let j(n) = -25*n - 3 - 3 + 0*n**2 + 5*n + 2*n**2. Let r = 1 + -9. Let m(a) = -a**2 + 7*a + 2. Let w(o) = r*m(o) - 3*j(o). Find i such that w(i) = 0.
-1
Let p(x) be the second derivative of -x**7/140 - x**6/90 + 7*x**5/60 - x**4/6 + 5*x**3/3 + 4*x. Let z(u) be the second derivative of p(u). Factor z(v).
-2*(v - 1)*(v + 2)*(3*v - 1)
Let a = -7 + 7. Let y(n) be the first derivative of a*n**3 + 2/25*n**5 + 2/5*n**2 - 1/5*n**4 + 1 - 2/5*n. Factor y(k).
2*(k - 1)**3*(k + 1)/5
Let u(o) be the second derivative of o**6/30 - 3*o**5/80 - 5*o**4/48 + o**3/8 + o**2/8 + 4*o. Factor u(j).
(j - 1)**2*(j + 1)*(4*j + 1)/4
Let k be (-4)/18 + 14/63. What is s in 4/13*s - 2/13*s**2 + k = 0?
0, 2
Let l(x) be the first derivative of 25*x**4/4 + 85*x**3/3 + 40*x**2 + 20*x + 25. Factor l(h).
5*(h + 1)*(h + 2)*(5*h + 2)
Suppose 0 = -3*i - 0*i + 24. Let g = 11 - i. Find z, given that 4*z**3 - 4*z**g + 4*z**3 + 10*z**5 + 14*z**4 = 0.
-1, -2/5, 0
Let f(l) = 4*l**2 - 10*l - 1. Let t be f(3). Factor 0 - 109/2*v**3 - 2*v - 63*v**4 - 49/2*v**t - 18*v**2.
-v*(v + 1)**2*(7*v + 2)**2/2
Let k(x) be the second derivative of -x**5/40 - x**4/24 + x**3/6 - 30*x. Factor k(o).
-o*(o - 1)*(o + 2)/2
Let p(f) be the first derivative of 1/10*f**2 - 2/15*f**3 + 2/5*f - 1/20*f**4 + 4. Factor p(u).
-(u - 1)*(u + 1)*(u + 2)/5
Let r(l) = l + 2. Let c be r(0). What is t in -2*t**2 + 5*t**2 - 4 + 4*t - 5*t**c + 2 = 0?
1
Let k = -24 + 29. Let n(s) be the second derivative of 1/10*s**k + 0*s**4 + 3*s - 1/3*s**3 + 0 + 0*s**2. What is y in n(y) = 0?
-1, 0, 1
Let v(q) be the third derivative of q**8/1680 - q**7/420 - q**6/90 + q**5/60 + q**4/8 + q**3 - 6*q**2. Let i(c) be the first derivative of v(c). Factor i(m).
(m - 3)*(m - 1)*(m + 1)**2
Let a = 5 + -1. Let z = a + 0. Factor 0*h**3 - 4/9*h**2 - 2/9*h**5 + 4/9*h**z + 2/9*h + 0.
-2*h*(h - 1)**3*(h + 1)/9
Let p be ((-3)/(-2))/(1/2). Suppose -4*t + k + 11 = 0, p*t - 2*t + 2*k = -4. Solve -2 - 7*r**t - 5*r + 6*r + 8*r = 0 for r.
2/7, 1
Let n(o) be the first derivative of o**4 - 2*o**2 - 1. Find p such that n(p) = 0.
-1, 0, 1
Let d(j) be the first derivative of -2 - 1/12*j**4 + 1/6*j**2 + 1/9*j**3 - 1/3*j. Suppose d(s) = 0. What is s?
-1, 1
Let r(q) be the first derivative of 2*q**5/25 + 6*q**4/5 + 36*q**3/5 + 108*q**2/5 + 162*q/5 + 1. Factor r(j).
2*(j + 3)**4/5
Let s(b) be the first derivative of b**5/90 - b**4/18 - 7*b**2/2 + 7. Let j(o) be the second derivative of s(o). Factor j(p).
2*p*(p - 2)/3
Let t(v) be the third derivative of v**11/1496880 + v**10/680400 + v**5/60 - v**2. Let p(q) be the third derivative of t(q). Let p(s) = 0. What is s?
-1, 0
Let k(t) be the third derivative of t**7/1365 + t**6/195 + 2*t**5/195 - 7*t**2. Factor k(p).
2*p**2*(p + 2)**2/13
Let 1/8*n + 1/4 - 3/8*n**2 - 1/8*n**3 + 1/8*n**4 = 0. What is n?
-1, 1, 2
Let g be (8/(-10))/((-16)/40). Let t be (-2)/(-5)*6/12. Factor t*j**g + 2/5*j + 1/5.
(j + 1)**2/5
Let x(y) be the first derivative of -y**5/70 - y**4/42 + y**3/21 + y**2/7 - 4*y + 1. Let c(a) be the first derivative of x(a). Factor c(p).
-2*(p - 1)*(p + 1)**2/7
Let a(t) be the second derivative of -2*t**6/15 - t**5/10 + t**4/6 - t + 33. Suppose a(x) = 0. What is x?
-1, 0, 1/2
Suppose -a = a - 10. Factor 3*l**3 - a*l**5 + 3*l**5 - l**3.
-2*l**3*(l - 1)*(l + 1)
Let y(n) = 