f**2 - 14*f. Solve l(z) = 0 for z.
6/11
Let h(u) be the first derivative of -u**4/18 + 2*u**3/9 - u**2/3 + 2*u/9 - 15. Solve h(j) = 0.
1
Let a = 1 + 7. Let w = a - 6. Factor -2/7*t - 4/7*t**w - 2/7*t**3 + 0.
-2*t*(t + 1)**2/7
Let o be (-9)/18*2*-2. Suppose 0 = o*q + z - 7, 4*z = -q + 14. Factor -2/5 - 2*x**4 + 4*x**3 + 2/5*x**5 + 2*x - 4*x**q.
2*(x - 1)**5/5
Suppose 4*u + 16 = -4*u. Let w be (1/u - 0)*-1. Factor 0*h**2 + w*h + 1/3 - 1/6*h**3.
-(h - 2)*(h + 1)**2/6
Suppose -4*k = 5*p - 2, -5*k + 3*k + 6 = 5*p. Let b be (-29)/(-9) - p/9. Determine y, given that -1/2*y**b - 1/2*y**5 + 0*y + 0*y**2 + y**4 + 0 = 0.
0, 1
Let u(b) be the third derivative of -b**5/150 + b**4/60 + 2*b**3/15 + 10*b**2. Factor u(h).
-2*(h - 2)*(h + 1)/5
Let y(s) be the first derivative of 2/5*s**2 + 1 + 2/5*s**3 + 0*s + 1/10*s**4. Factor y(x).
2*x*(x + 1)*(x + 2)/5
Suppose 0*k - 15 = 2*f - k, 2*k - 39 = 5*f. Let v(o) = o**3 + 9*o**2 + o + 12. Let w be v(f). Factor 0*q**2 - 1/2*q**w + 3/2*q + 1.
-(q - 2)*(q + 1)**2/2
Suppose -5 = -4*g + x, -3*g - 2*g + 5*x = -10. Let z be g + (70/18)/(-5). Factor -2/9*b**4 - z*b**3 + 2/9*b + 2/9*b**2 + 0.
-2*b*(b - 1)*(b + 1)**2/9
Factor -16*o**4 + 11*o**4 + o**5 + 0*o**2 - 2*o + o**3 + 2*o**4 + 3*o**2.
o*(o - 2)*(o - 1)**2*(o + 1)
Let u be 3/(5/((-10)/(-3))). Find f such that 2*f - 4 + 3*f**u - 4*f**2 - 4*f + 3*f**2 = 0.
-1, 2
Suppose 7*b + 3*a - 19 = 5*b, 0 = b - 3*a + 13. Factor -3/7*t**3 - 1/7*t**4 - 3/7*t**b + 0 - 1/7*t.
-t*(t + 1)**3/7
Let a be 132/550*(-5)/(-3). Determine h, given that -a + 6/5*h + 2/5*h**3 - 6/5*h**2 = 0.
1
Let q(d) be the second derivative of -d**6/60 - 3*d**5/40 - d**4/8 - d**3/12 - 4*d. Suppose q(x) = 0. What is x?
-1, 0
Factor 22/3*l + 2*l**2 + 4.
2*(l + 3)*(3*l + 2)/3
Suppose 0 = -0*x - 2*x. Suppose 284 - 284 = 5*m. Factor 0*g**4 + 2/7*g**5 - 6/7*g**3 + 4/7*g**2 + x + m*g.
2*g**2*(g - 1)**2*(g + 2)/7
Let c(s) = -2*s**3 - 2*s**2 - s - 4. Let l(q) = -q**3 - q**2 - 1. Let k be (-3)/(6/(-4) + 1). Let a(j) = k*l(j) - 2*c(j). Determine o so that a(o) = 0.
-1, 1
Let b(s) be the first derivative of -s**4 - 4*s**3/3 - 23. Factor b(x).
-4*x**2*(x + 1)
Let h(d) = -d. Let s be h(-5). Suppose -s*c = -3*v - 294 + 39, -3*c = 2*v - 172. Factor 72*a + 7 - 34*a**2 + c*a**3 - 23 - 52*a**2 - 22*a**2.
2*(3*a - 2)**3
Let j(a) be the first derivative of -1/3*a**3 - 4 - a - a**2. Factor j(x).
-(x + 1)**2
Let u(s) be the second derivative of 1/24*s**4 - 1/24*s**3 - 3*s + 0 + 0*s**2 - 1/80*s**5. Factor u(q).
-q*(q - 1)**2/4
Let s(m) = -3*m**3 + 19*m**2 + 19*m - 3. Let q(i) = 8*i**2 + 9*i + 5 + i**2 - 6 - i**3. Let p(y) = 7*q(y) - 3*s(y). Factor p(o).
2*(o + 1)**3
Let i(x) be the first derivative of 2*x**3/27 - 2*x**2/9 + 2*x/9 + 6. Factor i(s).
2*(s - 1)**2/9
Factor -7*a**2 - a**2 + 3*a**2 + 20.
-5*(a - 2)*(a + 2)
Suppose 3*v - 3*t - 3 = 0, -2 = v - 14*t + 16*t. Let q(k) be the third derivative of 1/24*k**4 + v - 1/120*k**5 + 0*k**3 - 4*k**2 + 0*k. Factor q(w).
-w*(w - 2)/2
Determine a, given that -2/3*a - 1/3*a**5 - 3*a**3 + 7/3*a**2 + 0 + 5/3*a**4 = 0.
0, 1, 2
Let c be 3/(27/3)*6. Find u such that 0*u**3 - 7*u**4 + 20*u**3 + u**4 + 4*u + 4*u**2 - 22*u**c = 0.
0, 1/3, 1, 2
Let w = -42 + 45. Let z(s) be the second derivative of 1/80*s**5 + 5/24*s**w + 0 + 3*s - 1/12*s**4 - 1/4*s**2. Find p such that z(p) = 0.
1, 2
Let o(v) = v**3 + 4*v**2 - v - 1. Let x be o(-4). Factor t**2 - 6*t + t**4 + 3*t + 2*t**x + 3*t.
t**2*(t + 1)**2
Let k = 8 + -8. Factor -2*f**2 + k*f**2 + 3*f**2 + 2 - 3*f**2.
-2*(f - 1)*(f + 1)
Let z be 112/637 + 8/28. Find t, given that 2/13*t**3 + z*t - 6/13*t**2 - 2/13 = 0.
1
Let y be (3/2*4)/2. Suppose 0*s = y*s. Suppose s*i**2 - 1 + 0*i**2 + i - i**3 + i**2 = 0. Calculate i.
-1, 1
Let v be 3/1 + 0 + -1. Factor 3*s**4 - 2*s**3 + 0*s**4 + 2*s**2 + 2*s**5 - 4*s**v - s**4.
2*s**2*(s - 1)*(s + 1)**2
Let z(p) = -2*p**3 + 2*p**2 - 2. Let i(o) = -1 + 2*o**3 + 4 + o - 3*o**2 + 0*o. Suppose 3*f = -13 + 4. Let g(a) = f*z(a) - 2*i(a). Factor g(t).
2*t*(t - 1)*(t + 1)
Let h(g) = g**2 - 6*g - 10. Let m be h(9). Determine r so that -39*r + m + 33*r**2 + 2 - 6 - 7 = 0.
2/11, 1
Suppose 15 = -0*z + 5*z. Suppose 6 + z = 3*x. Let 18/5*s**2 + 2*s**x - 14/5*s**4 - 2*s - 4/5 = 0. Calculate s.
-1, -2/7, 1
Suppose 10/9*d**4 - 2/3*d + 2/3*d**3 + 0 - 10/9*d**2 = 0. What is d?
-1, -3/5, 0, 1
Solve 0*a + 7/2*a**4 + 0 - 1/2*a**2 - 2*a**5 - a**3 = 0 for a.
-1/4, 0, 1
Let b(f) be the second derivative of -2*f**6/15 - 2*f**5/5 + f**4 + 8*f**3/3 - 8*f**2 + 14*f. Factor b(c).
-4*(c - 1)**2*(c + 2)**2
Let x(t) = -6*t**4 + 48*t**3 - 27. Let d(o) = -o**4 + 7*o**3 - 4. Let l(b) = -27*d(b) + 4*x(b). Let l(s) = 0. What is s?
-1, 0
Let x be 2/11 - 174/(-132). Let -9/2*f**3 - 9/2*f**2 - 3/2*f**4 + 0 - x*f = 0. What is f?
-1, 0
Suppose -52 = -5*v + 353. Solve -31 - 27*j**2 + 7*j**3 + v*j - 3*j**3 - j**3 - 50 = 0 for j.
3
Let d(k) be the second derivative of -k**4/36 + k**3/9 - k**2/6 - 3*k. Suppose d(g) = 0. Calculate g.
1
Let x(g) = 7*g**2 + 1. Let p be x(-1). Let a be (30/p)/(15/10). Suppose 1/4*n**5 + a*n**3 - 5/4*n**4 - 1/4 + 5/4*n - 5/2*n**2 = 0. What is n?
1
Factor 1/2*m**3 - 3/2*m**2 + 3/2*m**4 + 0 - m + 1/2*m**5.
m*(m - 1)*(m + 1)**2*(m + 2)/2
Let p(h) = 4*h**4 + 2*h**3 + 4*h**2. Let c(r) = -5*r**4 - 2*r**3 - 5*r**2. Let z(t) = -5*c(t) - 6*p(t). Solve z(j) = 0 for j.
0, 1
Suppose 4*u + 2 = 18. Let 8 - 14*a + 10*a - u*a**2 + 0*a**2 = 0. Calculate a.
-2, 1
Let u be 4/6 - (136/36 - 4). Suppose -2/9*b**4 - 4/9*b - 10/9*b**2 - u*b**3 + 0 = 0. Calculate b.
-2, -1, 0
Factor 0 + 0*o + 1/12*o**3 - 1/6*o**2.
o**2*(o - 2)/12
Let k(c) = 3*c - 1. Let f(b) = b. Let p(q) = 8*f(q) - 3*k(q). Let j be p(3). Let 0 - 2/3*v**5 + 0*v**3 + 0*v + 0*v**2 + j*v**4 = 0. Calculate v.
0
Let w(a) be the third derivative of a**6/100 + a**5/150 - a**4/5 - 4*a**3/15 + 10*a**2. Determine i, given that w(i) = 0.
-2, -1/3, 2
Let r be 392/440 - 12/132. Let 2/5*q**4 - 6/5*q**2 + 8/5 - r*q**3 + 8/5*q = 0. Calculate q.
-1, 2
Let o(q) = -q**5 - q**4 - q**2. Suppose 7 = -5*v - 13. Let u(x) = -2*x**5 - 6*x**3 - 12*x**2 + 8*x. Let i(n) = v*o(n) + u(n). Suppose i(j) = 0. What is j?
-2, 0, 1
Let s(g) = g**3 - 8*g**2 + 18*g - 75. Let y be s(7). Find j, given that 3*j**4 - 19/4*j**3 - 1/2 + 9/4*j + 0*j**y = 0.
-2/3, 1/4, 1
Let a be -1 - -4 - (0 + -1). Let y(k) = k**2 - 5*k + 6. Let g be y(a). Find n such that -n**5 - g*n + 4*n**3 - n**5 - 2*n**5 + 2*n**5 = 0.
-1, 0, 1
Determine i so that -5/3*i**3 + 0*i - 1/2*i**2 - 1/2*i**4 + 0 = 0.
-3, -1/3, 0
Let j = 294 + -1173/4. Factor 0*z - j + 3/4*z**2.
3*(z - 1)*(z + 1)/4
Let q = 13/6 - 53/30. Factor 48/5*j**2 + 32/5*j**3 + q + 18/5*j.
2*(j + 1)*(4*j + 1)**2/5
Let q(j) = 8*j**3 + 9*j**2 + 3*j + 11. Let m(x) = -4*x**2 - 6*x**3 + 3*x**2 + 5*x**3 + 1 - 2. Let s(r) = 18*m(r) + 2*q(r). Factor s(t).
-2*(t - 2)*(t + 1)**2
Let y(o) be the second derivative of -o**6/120 + o**5/20 - o**4/8 + o**3/6 - 3*o**2 + 7*o. Let m(r) be the first derivative of y(r). Factor m(s).
-(s - 1)**3
Determine r, given that 2/9*r + 4/9 - 2/9*r**2 = 0.
-1, 2
Let d(w) = -2*w**3 - 13*w**2 - 8*w + 3. Let r(u) = -7*u**3 - 38*u**2 - 23*u + 8. Let n(h) = 8*d(h) - 3*r(h). Factor n(k).
5*k*(k + 1)**2
Let p be (-1 + 13)/4 + 1 + 0. Determine k, given that -4/5*k**2 - 18/5*k**3 + 0 + 0*k - 14/5*k**p = 0.
-1, -2/7, 0
Factor -21*c**3 + 12 - c - 57*c**2 - 5*c - 18*c.
-3*(c + 1)*(c + 2)*(7*c - 2)
Suppose -4 = 8*y - 9*y. Determine r so that -2/11*r**3 - 2/11*r**2 + 0*r + 2/11*r**5 + 0 + 2/11*r**y = 0.
-1, 0, 1
Let f(s) = -4*s**2 + 5*s + 2. Let o(c) = -15*c**2 + 19*c + 7. Let j(r) = 22*f(r) - 6*o(r). Suppose j(l) = 0. Calculate l.
1
Let j(o) be the second derivative of 5*o**7/42 - o**5/2 + 5*o**3/6 + 24*o. Find m, given that j(m) = 0.
-1, 0, 1
Suppose 6*k = 11 - 47. Let n be k + 3 - (-54)/15. Suppose 2/5 - n*j + 1/5*j**2 = 0. What is j?
1, 2
Factor 0 + 0*l + 1/4*l**4 + 1/4*l**2 + 1/2*l**3.
l**2*(l + 1)**2/4
Let g(t) = -3*t**4 - t**3 + 3*t**2 + t. Let d(p) = -7*p**2 + 0*p**3 - 5*p + 3*p**3 + 2*p + 7*p**4. Let o(i) = 6*d(i) + 15*g(i). Factor o(x).
-3*x*(x - 1)**2*(x + 1)
Let w be ((-6)/(-12))/(1/8). Factor 4 - i**2 - w - 2*i.
-i*(i + 2)
Let v be ((-2)/12)/(0 - 1). Let g(m) be the second derivative of -1/4*m**2 - v*m**3 + 1/20*m**5 - m + 1/60*m**6 + 0 + 0*m**4. Factor g(n).
(n - 1)*(n + 1)**3/2
Factor 0 +