4*h - 1)
Let v(h) be the third derivative of h**8/8064 - h**7/1260 - h**6/360 + h**5/15 - 3*h**2. Let d(t) be the third derivative of v(t). Factor d(z).
(z - 2)*(5*z + 2)/2
Suppose -2*o + 12 + 0 = 0. Let u(d) be the second derivative of 0*d**3 - 1/20*d**5 + 2*d + 1/24*d**4 + 0 + 1/60*d**o + 0*d**2. Suppose u(g) = 0. Calculate g.
0, 1
Let p(i) = -4*i**3 - i**2 - i + 1. Let m be p(1). Let o be 1 - (m + (3 - 0)). Factor 1 + 0 + g**2 - g + o*g.
(g + 1)**2
Let a(n) = n**3 - 3*n**2 + 3*n + 3. Let s(b) = b**2 - b - 1. Suppose -2*x + 8 = -0. Let r(j) = x*s(j) + a(j). Suppose r(i) = 0. Calculate i.
-1, 1
Let p = 13 + -8. Suppose 4*s - p*r = -s + 30, -4*r - 3 = 3*s. Let 0*c + 7/2*c**5 + 0 + 11/2*c**s - 8*c**4 - c**2 = 0. What is c?
0, 2/7, 1
Let j(k) = -k**3 - 4*k**2 - 16*k - 35. Let t be j(-3). Let 2/7*l**5 - 4/7*l**t + 4/7*l**2 - 2/7*l + 0 + 0*l**3 = 0. What is l?
-1, 0, 1
Let l(q) be the second derivative of q**4/12 + q**3/3 - q**2/2 + q. Let d be l(-3). Factor 0*s**d + 1/2*s**4 + 0*s**3 + 0*s + 0 - 1/2*s**5.
-s**4*(s - 1)/2
Let u = 148/21 + -7. Let o(t) be the second derivative of 1/5*t**5 + 0*t**4 + 0 - u*t**7 - 4*t + 0*t**3 + 0*t**2 - 1/15*t**6. Suppose o(x) = 0. What is x?
-2, 0, 1
Suppose -2*r - 3 = 1. Let y(k) = -2*k - 1. Let n be y(r). Let -2*f**4 + n*f**5 - f**5 + 0*f**5 = 0. Calculate f.
0, 1
Let x = 4 + -6. Let p be ((-5)/(-15))/(x/(-4)). Suppose -p*z**3 + 0*z**2 + 2/3*z + 1/3 - 1/3*z**4 = 0. Calculate z.
-1, 1
Let a(c) be the first derivative of -c**4/4 + 4*c**3/3 - 2*c**2 + 4. Factor a(i).
-i*(i - 2)**2
Let p(z) = -z**2 + z + 4. Let g be p(-4). Let u be (-4)/14 + g/(-7). Suppose -2/5*c + 0*c**u + 0 + 2/5*c**3 = 0. Calculate c.
-1, 0, 1
Suppose -d + 2*d + 3*h + 18 = 0, 4*d = -4*h - 40. Let o be -1*1/d*4. Factor 2/3*p**3 + 0 - o*p + 0*p**2.
2*p*(p - 1)*(p + 1)/3
Let u(r) be the second derivative of -r**5/120 - r**4/24 + r**3/4 - 5*r**2/12 - 10*r + 4. Determine q, given that u(q) = 0.
-5, 1
Let f(h) = 3*h**2 - 2*h - 1. Let v(x) = -5*x**2 + 4*x + 2. Let m(c) = 7*f(c) + 4*v(c). Suppose m(i) = 0. What is i?
-1
Let d(g) be the first derivative of 1/2*g**4 + 1/3*g**6 + 1 + 6/5*g**5 - 2*g**3 + 0*g - 2*g**2. Suppose d(b) = 0. What is b?
-2, -1, 0, 1
Let f(z) be the third derivative of z**8/1680 - z**7/420 + z**6/360 - z**3/6 - z**2. Let o(y) be the first derivative of f(y). Factor o(m).
m**2*(m - 1)**2
Let x(k) be the first derivative of -k**3/15 - 2*k**2/5 + k + 28. Factor x(b).
-(b - 1)*(b + 5)/5
Factor -15*g**3 + 5*g**4 + 5*g + 20*g**2 + 4*g**4 - 23*g**2 + 10*g - 6.
3*(g - 1)**2*(g + 1)*(3*g - 2)
Let w be 2/((-5)/(-1) + 0). Suppose 5*d - d = 5*o - 37, -5*o = -d - 28. Suppose -2/5*x**o - 4/5*x**4 + 0*x + 0 + 0*x**2 - w*x**3 = 0. What is x?
-1, 0
Let d(k) = -8*k**5 + 12*k**4 + 4*k + 4. Let q(r) = -r**5 + r**4 + r**3 + r + 1. Let n(g) = d(g) - 4*q(g). Factor n(s).
-4*s**3*(s - 1)**2
Suppose -2*d + 2 + 2 = 0. Let b(j) = -j**3 - j**4 - 1 - 3*j + 0*j + d*j. Let w(a) = -7*a**4 - 5*a**3 + a**2 - 7*a - 6. Let n(h) = -6*b(h) + w(h). Factor n(v).
-v*(v - 1)**2*(v + 1)
Suppose 0 = 4*i + 4*u, -12 = -4*i - 0*u + 2*u. Suppose -i = 3*r - 4*r. Let 0*h**2 + 3 + 15*h + 9*h**3 + 6*h**r + 15*h**2 = 0. Calculate h.
-1, -1/3
Let f(m) be the second derivative of 1/6*m**4 + 1/10*m**5 - 1/3*m**3 - m**2 + 4*m + 0. Determine l, given that f(l) = 0.
-1, 1
Let v(m) be the second derivative of 11*m**5/120 + m**4/3 + m**3/9 - 4*m - 9. Let v(x) = 0. What is x?
-2, -2/11, 0
Let h = 8 - 6. Let g(q) be the first derivative of 1 - 2*q + q**h - 1/2*q**4 + 2/3*q**3. Suppose g(k) = 0. What is k?
-1, 1
Suppose -4*l - 4*l - l**2 - 3 - 13 = 0. Calculate l.
-4
Let h be ((-1)/(-2))/(2/24). Let l be h/(-4)*(-8)/18. Factor 1/3*q**5 - 1/3*q + 0*q**3 + 0 + 2/3*q**4 - l*q**2.
q*(q - 1)*(q + 1)**3/3
Suppose s - 20 = -0*s + 5*v, 0 = 4*s - 4*v - 16. Find a, given that 3/5*a**5 - 3/5*a + 0 + s*a**3 + 6/5*a**4 - 6/5*a**2 = 0.
-1, 0, 1
Solve 0 - 10/9*f**2 + 4/3*f**5 - 10/9*f**3 - 2/9*f + 10/9*f**4 = 0.
-1, -1/2, -1/3, 0, 1
Let v = 704 + -496. Let w be 37940/v - 2/13. Suppose -27*c - w*c**3 + 243/2*c**2 + 2 = 0. Calculate c.
2/9
Let c(m) = -2*m - 6. Let x(h) = 2*h + 3. Let j be x(-5). Let g be c(j). Solve -16*p**2 - g - 36*p + 12*p**3 + 4*p**5 + 6*p**2 + 17*p**3 + 21*p**4 = 0.
-2, -1/4, 1
Factor -2*g**3 + 2/3*g**2 + 2*g + 2/3*g**4 - 4/3.
2*(g - 2)*(g - 1)**2*(g + 1)/3
Let p = 14 - 11. Let n(g) be the first derivative of 0*g + 0*g**p - 1/27*g**6 + 0*g**4 + 0*g**2 - 2/45*g**5 - 2. Factor n(v).
-2*v**4*(v + 1)/9
Let s(t) be the third derivative of 0*t + 0*t**6 + 1/840*t**7 + 0 + 1/48*t**4 + 0*t**3 - 1/80*t**5 - 6*t**2. Factor s(i).
i*(i - 1)**2*(i + 2)/4
Suppose -3*s = -5*w - 25, -5*s + w = -4 - 23. Suppose 4*k - 12 = s*v, 9 = -v - 0*v + 3*k. What is o in -7*o**2 + 3*o**2 + v*o**3 - 2*o - 2*o**3 = 0?
-1, 0
Suppose 0 = -3*m + 4*a + 29, m = -0*m + 2*a + 13. Let n be (-5)/m + (3 - 1). Factor 0*c + 0 + 1/3*c**3 - n*c**4 + 0*c**2.
-c**3*(c - 1)/3
Let r = 14 + -10. Let 0*o**3 - o**3 - o**r + 3*o**3 = 0. What is o?
0, 2
Let c(k) be the second derivative of -k**5/4 - 5*k**4/6 + 5*k**3/6 + 5*k**2 - 17*k. Factor c(x).
-5*(x - 1)*(x + 1)*(x + 2)
Let i = 3716/2937 - -2/267. Suppose -4/11*u + i*u**4 + 10/11*u**5 - 14/11*u**2 - 6/11*u**3 + 0 = 0. What is u?
-1, -2/5, 0, 1
Let q(j) = j**2 - 6*j - 3. Let o(g) = 2*g - 1. Let y be o(4). Let i be q(y). Determine d, given that -2*d + 3*d**2 + 3*d**2 - i*d**2 - 4 = 0.
-1, 2
Let x(l) be the second derivative of -l**4/3 + 5*l**3/7 - l**2/7 - 14*l. Factor x(v).
-2*(v - 1)*(14*v - 1)/7
Factor 2*i**2 + 2*i - 2*i**3 - 23 - 2*i**4 + 23.
-2*i*(i - 1)*(i + 1)**2
Let x be (-693)/(-44) - 6/8. Let y = x + -13. Factor 3/4*u + 1/4*u**y + 1/4*u**4 - 1/2 - 3/4*u**3.
(u - 2)*(u - 1)**2*(u + 1)/4
Let w(h) be the second derivative of h**6/150 - h**5/50 + h**4/60 + 3*h. Solve w(o) = 0.
0, 1
Factor 0*d + 0*d**2 - 3/7*d**5 + 6/7*d**3 - 3/7*d**4 + 0.
-3*d**3*(d - 1)*(d + 2)/7
Solve 1/5*n + 4/5*n**2 - 4/5 - 1/5*n**3 = 0 for n.
-1, 1, 4
Let f be (8/6)/(-3*(-3)/27). Factor 0 - 2*d**3 + 8/3*d**2 - 4/3*d**f + 8/3*d + 2/3*d**5.
2*d*(d - 2)**2*(d + 1)**2/3
Let s = -47/52 - -15/13. Let b(d) be the first derivative of -3/16*d**4 - 1/8*d**2 - s*d + 5/12*d**3 + 1. Suppose b(g) = 0. What is g?
-1/3, 1
Let t(v) = 38*v + 4. Let s be t(-4). Let q be s/(-28) + (-2)/7. Determine p so that -q*p**5 + p**5 - p**4 + 5*p**5 = 0.
0, 1
Let n(x) be the first derivative of x**6/54 + x**5/45 - x**4/36 - x**3/27 + 37. Suppose n(h) = 0. Calculate h.
-1, 0, 1
Let u(g) be the first derivative of 0*g + 1/30*g**5 - g**2 - 1 + 0*g**3 - 1/12*g**4. Let i(x) be the second derivative of u(x). Find z such that i(z) = 0.
0, 1
Let v(x) = x**3 + 248*x**2 - 1801*x - 2057. Let s(i) = -62*i**2 + 450*i + 514. Let z(k) = -18*s(k) - 4*v(k). Determine g, given that z(g) = 0.
-1, 16
Let x(v) be the first derivative of -v**4/20 - 2*v**3/5 - 9*v**2/10 - 5. Factor x(d).
-d*(d + 3)**2/5
Let m(g) be the third derivative of g**5/270 + 20*g**2. Let m(q) = 0. Calculate q.
0
Let -4/3*y**2 - 1/3*y - 5/3*y**3 - 2/3*y**4 + 0 = 0. Calculate y.
-1, -1/2, 0
Let q be -3 + 33/9 - (-15)/(-36). Find v, given that 0 - 1/4*v**3 + 1/4*v**5 + 0*v + q*v**4 - 1/4*v**2 = 0.
-1, 0, 1
Let y(t) = 6*t**4 - 19*t**2 + 13. Let a(d) = -3*d**4 + 10*d**2 - 7. Let b(v) = -7*a(v) - 4*y(v). Factor b(w).
-3*(w - 1)**2*(w + 1)**2
Suppose 11 = 5*a - 9. Suppose -2*n = c - 2, c + 6 = -2*n - a*c. What is g in -8/3 - 6*g**n - 8*g = 0?
-2/3
Suppose -3*c + 4*h = -22, -c - c = h - 11. Let v be (9/c + -2)*-2. Solve 2*m**2 - v + 4*m + 0*m + 3 = 0 for m.
-1
Let f(d) be the first derivative of -d**4/7 - d**3/3 + d**2/7 + 19. Factor f(v).
-v*(v + 2)*(4*v - 1)/7
Let g(n) = 21*n**5 + 5*n**4 - 13*n**3 - 13*n**2. Let i(x) = 5*x**5 + x**4 - 3*x**3 - 3*x**2. Let p(t) = -6*g(t) + 26*i(t). Factor p(d).
4*d**4*(d - 1)
Suppose 42 - 12 = 5*g + 5*b, 2*g + b - 11 = 0. Let 4/9*c**2 - 2/9*c**4 - 2/9*c + 4/9*c**3 - 2/9 - 2/9*c**g = 0. Calculate c.
-1, 1
Let o(y) = -4*y + 54. Let b be o(13). Let d = 0 + 4. Factor -11/5*s**b - 16/5*s**3 + 0 - 2/5*s - 7/5*s**d.
-s*(s + 1)**2*(7*s + 2)/5
Suppose -228 = -25*v - 13*v. Factor 0 + 14/3*b**3 - v*b**2 + 4/3*b.
2*b*(b - 1)*(7*b - 2)/3
Let m(b) = -12*b**3 - 21*b**2 + 10*b + 4. Let w(t) = -12*t**3 - 21*t**2 + 9*t + 3. Let d(z) = -3*m(z) + 4*w(z). Factor d(p).
-3*p*(p + 2)*