 1 - 1/7*o**2 + k*o**3. Find l such that c(l) = 0.
0, 1
Let m = -12 + 14. Factor 8*a**m + 2*a**4 - 5*a - 4*a**5 + 2*a**5 + 3*a - 12*a**3 + 6*a**4.
-2*a*(a - 1)**4
Let k(n) = n**2 + 4*n + 3. Let g(h) = 4*h**2 + 12*h + 8. Let x(t) = 3*g(t) - 10*k(t). Let x(q) = 0. Calculate q.
-1, 3
Let r be ((-4)/14)/((-37)/259). Find v, given that -2*v**2 + 4/5*v**3 - 4/5*v + r*v**4 + 0 = 0.
-1, -2/5, 0, 1
Let j(d) be the second derivative of -3*d**5/20 - 3*d**4/4 - d**3 - 2*d + 47. Suppose j(c) = 0. What is c?
-2, -1, 0
Let a(g) = -g**5 + 8*g**3 - 3*g**2 - 7*g - 3. Let t(x) = 8*x**3 - 4*x**2 - 8*x - 4. Let h(d) = 4*a(d) - 3*t(d). Factor h(n).
-4*n*(n - 1)**2*(n + 1)**2
Let y(x) be the third derivative of x**8/2520 + 4*x**7/1575 + x**6/180 + x**5/225 - 2*x**2 + 15. Factor y(u).
2*u**2*(u + 1)**2*(u + 2)/15
Let z(o) be the third derivative of o**5/300 + o**4/60 - 63*o**2. Factor z(t).
t*(t + 2)/5
Let s(y) = -y**2 + 3. Let p = -6 - -17. Let i(j) be the first derivative of -4*j**3/3 + j**2/2 + 16*j - 2. Let v(u) = p*s(u) - 2*i(u). Factor v(b).
-(b + 1)*(3*b - 1)
Let x(f) be the third derivative of f**5/160 - f**4/16 + f**3/4 - 10*f**2. Factor x(t).
3*(t - 2)**2/8
Let g(r) be the first derivative of r**4/4 + 13*r**3/3 - 13*r**2/2 + 18*r + 3. Let t be g(-14). Factor 4/7*c**3 - 2/7 + 4/7*c**2 - 2/7*c**t - 2/7*c**5 - 2/7*c.
-2*(c - 1)**2*(c + 1)**3/7
Suppose 0*u + 4*k + 172 = 5*u, 186 = 5*u + 3*k. Suppose -2*r = -4*m, 0 = -7*r + 3*r - 4*m + u. Suppose -r*o - 2 + 6*o**3 - 5/2*o**2 + 9/2*o**4 = 0. Calculate o.
-1, -2/3, 1
Let a(i) be the second derivative of i**7/7 - 4*i**6/15 - 17*i**5/30 + 4*i**4/9 + 4*i**3/9 + i + 1. What is b in a(b) = 0?
-1, -1/3, 0, 2/3, 2
Suppose -5*h + h = -20. Suppose 19 = z - h*a, -2*z - z - 3*a + 3 = 0. Factor 0*d + 2/5 - 4/5*d**2 + 2/5*d**z + 0*d**3.
2*(d - 1)**2*(d + 1)**2/5
Let c(m) be the third derivative of -1/30*m**5 + 0*m - 1/60*m**6 + 0 - m**2 - 1/315*m**7 - 1/36*m**4 + 0*m**3. Factor c(n).
-2*n*(n + 1)**3/3
Let z = 12 - 10. Solve -5*u**z - 6 + 3*u**2 - u**2 + 9*u = 0.
1, 2
Let s = -24 - -32. Let w be (-2)/(s/(-10)) + -2. Determine l, given that -w*l + 0 - 1/4*l**2 = 0.
-2, 0
Let a(q) = -2*q**3 - 7*q**2 - 8*q + 3. Let f(k) = 3*k**3 + 13*k**2 + 17*k - 7. Let w(y) = 7*a(y) + 3*f(y). Let w(r) = 0. What is r?
-1, 0
Let y(b) = -21*b**2 - 15*b - 21. Let s(k) = 3*k**2 + 2*k + 3. Let i(z) = 27*s(z) + 4*y(z). Factor i(o).
-3*(o + 1)**2
Let z be 2/(-3) + (-752)/(-120) + -5. Determine x, given that z*x**2 + 6/5*x + 0 = 0.
-2, 0
Let z = 458273/2402240 - 48/7507. Let r = z + 1/64. Factor -1/5*c**3 + r*c**5 + 0 + 0*c + 1/5*c**4 - 1/5*c**2.
c**2*(c - 1)*(c + 1)**2/5
Let u = -4 - -8. Let k be (-4)/u*(-3 - -1). Factor -2/7*g + 0 - 2/7*g**k.
-2*g*(g + 1)/7
Let o(j) be the third derivative of 1/12*j**4 + 0 - 1/30*j**6 + 1/3*j**3 - 1/15*j**5 + 1/168*j**8 + 2*j**2 + 0*j + 1/105*j**7. Factor o(v).
2*(v - 1)**2*(v + 1)**3
Let a(k) be the first derivative of 0*k**2 - 1/3*k**3 + 0*k - 1/360*k**6 - 2 - 1/24*k**4 - 1/60*k**5. Let x(q) be the third derivative of a(q). Factor x(m).
-(m + 1)**2
Let j(i) = 8*i**2 + 12*i + 4. Let g(a) = -a**2 - a. Let k(r) = -12*g(r) - 2*j(r). Factor k(w).
-4*(w + 1)*(w + 2)
Suppose 2*n = 8 + 6. Suppose -2 = -3*f + n. Factor 1/4*m**5 + 19/2*m**2 + 25/4*m**f + 7*m + 2 + 2*m**4.
(m + 1)**2*(m + 2)**3/4
Let o = 6839 + -5026664/735. Let h(g) be the third derivative of -2*g**2 + 0 - o*g**7 + 0*g + 1/420*g**6 - 1/84*g**4 + 0*g**3 + 1/210*g**5. Factor h(n).
-2*n*(n - 1)**2*(n + 1)/7
Let i(h) be the third derivative of -7/60*h**5 + 7*h**2 - 1/3*h**3 + 3/8*h**4 + 0*h + 0. Let i(r) = 0. Calculate r.
2/7, 1
Suppose -2*l - x + 12 - 4 = 0, -4*l - 12 = -5*x. Let 3*b - b - b**2 - l*b = 0. What is b?
0
Let u(m) = 6*m**3 - 3*m**2 + 16*m - 23. Let i(a) = a**3 + a**2 - a - 1. Let k(t) = -20*i(t) + 4*u(t). Solve k(w) = 0.
2, 3
Let b = 10/7 - 13/14. Factor -i + 1/2*i**3 - b*i**2 + 0.
i*(i - 2)*(i + 1)/2
Let s(m) = m**2 - 18*m + 2. Let h be s(18). Let r(z) be the second derivative of 0*z**h + 1/6*z**4 + 2*z + 0 + 1/3*z**3. Determine l so that r(l) = 0.
-1, 0
Let s(x) = x**2 - 2*x + 2. Let h be s(4). Let q be 17/20 + (-6)/h. Factor 0 - 1/2*l - q*l**2.
-l*(l + 2)/4
Suppose 0 = 33*u - 29*u - 96. Let z = u + -19. Factor -2/5*r**2 - 2/5*r**z + 0*r + 2/5*r**3 + 2/5*r**4 + 0.
-2*r**2*(r - 1)**2*(r + 1)/5
Determine s so that 4*s**2 - 31 - 3*s**2 + 30 = 0.
-1, 1
Let g(f) be the first derivative of f**5/5 - f**4/2 + f**2 - f + 30. Let g(x) = 0. Calculate x.
-1, 1
Let p = 0 + 3. Suppose -2*q = -1 - p. Factor 3*b**q - 2*b + 4*b - 4*b**2.
-b*(b - 2)
Suppose 31*j = 1 + 61. Factor 1/2*o**4 + 3/2*o**3 + 0 + o**j + 0*o.
o**2*(o + 1)*(o + 2)/2
Let r(k) be the first derivative of k**6/1440 - k**5/120 + k**4/24 + k**3/3 - 2. Let q(u) be the third derivative of r(u). Factor q(y).
(y - 2)**2/4
Let c(r) = 2*r. Let f be c(2). Suppose 3*z + l = 7, -f*z + 2*l + 19 = z. Suppose -8*u - u**4 + 5*u**3 - 4*u**5 + z*u**5 - u**2 + 2*u**2 + 4 = 0. Calculate u.
-2, 1
Suppose 0 = v + 4*v - 55. Suppose -2*s - s + 2*s**2 + v*s - 2*s + 4 = 0. What is s?
-2, -1
Let s be ((-12)/(-8))/((-6)/(-8)). Factor -2/3*k**4 - 4*k**s - 8/3*k - 8/3*k**3 - 2/3.
-2*(k + 1)**4/3
What is k in -1/9*k**4 - 8/9*k**3 - 22/9*k**2 - 1 - 8/3*k = 0?
-3, -1
Let l(b) = -b**5 - b**4 - b**2 + b - 1. Let j(q) = 5*q**5 + 6*q**4 + 2*q**2 - 5*q + 4. Let f(d) = j(d) + 4*l(d). Let f(v) = 0. What is v?
-1, 0, 1
Let a(f) be the third derivative of -f**6/24 + 3*f**5/4 - 45*f**4/8 + 45*f**3/2 - 17*f**2. Factor a(m).
-5*(m - 3)**3
Let i(v) = 10*v - 12. Let q be i(5). Let o = q + -34. Solve -1/3*h**o + 0 + 1/3*h**2 + 1/3*h**3 - 1/3*h = 0 for h.
-1, 0, 1
Suppose -z - 4*j = -1 - 1, 2*z - 16 = -4*j. Suppose -7*g + z = -7. Determine p, given that 1/2*p + p**g + 0 - 3/2*p**2 = 0.
0, 1/2, 1
Let y(k) be the third derivative of -k**8/112 - 3*k**7/70 + k**5/5 - 7*k**2. Factor y(w).
-3*w**2*(w - 1)*(w + 2)**2
Factor -2/5*q + 2/5*q**3 + 4/5*q**2 - 4/5.
2*(q - 1)*(q + 1)*(q + 2)/5
Let 2/9*w**2 + 10/9*w + 4/9 - 4/9*w**3 = 0. Calculate w.
-1, -1/2, 2
Let n(p) = -10*p**2 + 20*p - 6. Let c(i) = -21*i**2 + 39*i - 12. Let f(g) = -6*c(g) + 14*n(g). Factor f(h).
-2*(h - 3)*(7*h - 2)
Let l(m) be the first derivative of -5*m**6/21 + 32*m**5/35 - 9*m**4/7 + 16*m**3/21 - m**2/7 + 3. Suppose l(p) = 0. Calculate p.
0, 1/5, 1
Let y(p) be the second derivative of -25*p**7/21 + 34*p**6/3 - 212*p**5/5 + 232*p**4/3 - 208*p**3/3 + 32*p**2 - p. Factor y(u).
-2*(u - 2)**3*(5*u - 2)**2
Suppose 4*q = 3*q + 5. Let x(o) be the first derivative of o**2 - 1/3*o**4 + 2/3*o + 4/9*o**3 - 1/9*o**6 - 2 - 2/5*o**q. Factor x(a).
-2*(a - 1)*(a + 1)**4/3
Suppose 2*p = j - 5*j + 42, 0 = 4*p - 4*j - 24. Solve i**2 + 18 + i**2 + i + p*i = 0 for i.
-3
Let f(l) be the second derivative of -l**6/25 + 4*l**5/25 - 7*l**4/30 + 2*l**3/15 - 5*l. Determine i, given that f(i) = 0.
0, 2/3, 1
Let p(h) be the first derivative of 2*h**6/3 + 44*h**5/5 + 46*h**4 + 120*h**3 + 162*h**2 + 108*h - 19. Factor p(c).
4*(c + 1)**2*(c + 3)**3
Let k be ((-24)/20)/((-2)/5). Suppose -p + 3 = -0, k*z = 2*p. Factor -3/4*q**z + 3/4 + 0*q.
-3*(q - 1)*(q + 1)/4
Find t such that 4/3*t**2 + 0 + 1/3*t**5 + 5/3*t**4 + 8/3*t**3 + 0*t = 0.
-2, -1, 0
Let h(g) = 3*g**2 - 4*g + 5. Let w(y) = 10*y**2 - 12*y + 16. Suppose -2*v - 20 = 2*v. Let p = v - 0. Let c(k) = p*w(k) + 16*h(k). Determine f so that c(f) = 0.
-2, 0
Let g(q) = -q**2 + 9*q - 12. Let m be g(7). Factor -1/2*f**m + 0 + 1/4*f**3 + 0*f.
f**2*(f - 2)/4
Let r(p) be the second derivative of p**8/1344 - p**6/240 + p**4/96 - 2*p**2 + 11*p. Let j(o) be the first derivative of r(o). Factor j(l).
l*(l - 1)**2*(l + 1)**2/4
Factor 1 + 2*g**3 + g**3 - g + 3*g**2 - 4*g**3 - 2*g.
-(g - 1)**3
Let w(d) be the second derivative of 0 + 3/10*d**5 + 0*d**4 - 1/2*d**3 - 1/14*d**7 + 3*d + 0*d**2 + 0*d**6. Factor w(b).
-3*b*(b - 1)**2*(b + 1)**2
Suppose 6*g - g = -55. Let l = g + 14. Suppose -1/3*h + 0 - 1/3*h**4 + 1/3*h**2 + 1/3*h**l = 0. Calculate h.
-1, 0, 1
Let h(g) be the first derivative of -2*g - 2*g**2 - 2/3*g**3 - 3. Factor h(j).
-2*(j + 1)**2
Suppose -8*u + 6*u = 0. Let v(q) be the second derivative of 2*q + u + 2/35*q**5 + 0*q**3 + 0*q**2 - 1/42*q**4. Let v(f) = 0. What is f?
0, 1/4
Let v be (-20)/(-90) - (-58)/(-18) - -7. Let d(t) be the third derivative of 1/150*t**5 + 