45 = r, -5*y - 5*r = -95. Factor 0*l**2 + y*l**2 - 47*l - 4 - 8 + 3*l.
4*(l - 3)*(4*l + 1)
Factor 7 + 27*i**2 - 5169*i + 5256*i + 11.
3*(i + 3)*(9*i + 2)
Let l(m) be the second derivative of -m**9/45360 + m**8/6720 - m**6/540 - 2*m**4/3 + 6*m. Let v(r) be the third derivative of l(r). Factor v(o).
-o*(o - 2)**2*(o + 1)/3
Suppose -n + 4 = -0*n, -4 = -t + n. Let b(v) be the first derivative of 12/5*v**5 + 4*v**3 + 0*v + t - 3/2*v**2 - 1/2*v**6 - 9/2*v**4. Factor b(q).
-3*q*(q - 1)**4
Let w(s) be the first derivative of -3*s**4/4 + 4*s**3 - 9*s**2/2 - 97. Factor w(b).
-3*b*(b - 3)*(b - 1)
Let k = 26 + -41. Let l(s) = s + 18. Let i be l(k). Factor 154*j**2 + 1 - i*j - 1 - 157*j**2.
-3*j*(j + 1)
Let c = 109/6 + -101/6. Factor c*z - 1/3*z**2 + 5/3.
-(z - 5)*(z + 1)/3
Let p = 1 - 7. Let z = -4 - p. Determine h, given that 3*h**z - 5*h - 3*h**3 + h + 3*h + h**4 = 0.
0, 1
Let u = 40776/5 + -8154. Solve u*m**2 + 4/5*m + 1/5*m**4 + 4/5*m**3 + 1/5 = 0.
-1
Let c(a) = 18*a**2 + 13*a - 5. Let t = -35 - -26. Let f(w) = 9*w**2 + 7*w - 2. Let m(g) = t*f(g) + 4*c(g). Factor m(d).
-(d + 1)*(9*d + 2)
Let q(t) be the first derivative of -27 + 2/5*t**5 - 4*t**2 + 5/2*t**4 + 4*t**3 - 16*t. Factor q(d).
2*(d - 1)*(d + 2)**3
Let s(t) = -t**2 + 512*t + 1028. Let b be s(-2). Factor b + 2/13*j**2 - 6/13*j.
2*j*(j - 3)/13
Let u = 24/5 - 91/20. Let r = 1013 + -4051/4. Factor -u*q**2 + 0 + 1/4*q**3 + r*q**4 + 0*q - 1/4*q**5.
-q**2*(q - 1)**2*(q + 1)/4
Suppose 10*c - 5*c - 25 = 0. Suppose 10*p = 6*p + c*p. What is i in -1/4 + p*i + 1/2*i**2 - 1/4*i**4 + 0*i**3 = 0?
-1, 1
Let l(p) be the third derivative of 0 + 1/40*p**6 + 0*p**3 + 0*p**4 + 0*p - 1/70*p**7 + 13*p**2 + 1/10*p**5. Factor l(n).
-3*n**2*(n - 2)*(n + 1)
Let u = 1002/7 - 142. Factor -16/7*c - u - 6/7*c**2.
-2*(c + 2)*(3*c + 2)/7
Let m be 4*(165/10 - -3). Let f = m - 76. What is v in 2/9*v**3 - 2/9*v + 0*v**f + 0 = 0?
-1, 0, 1
Factor 25392 - 276*o + 3/4*o**2.
3*(o - 184)**2/4
Let c(g) be the first derivative of 65/8*g**2 - 4 - 5/2*g - 55/12*g**3. Factor c(p).
-5*(p - 1)*(11*p - 2)/4
Let l(z) be the second derivative of z**8/336 - z**6/60 + z**4/24 + 6*z**2 - 11*z. Let a(p) be the first derivative of l(p). Let a(j) = 0. Calculate j.
-1, 0, 1
Let o(b) be the first derivative of -10*b**3/21 - 17*b**2/7 + 24*b/7 - 452. Suppose o(y) = 0. Calculate y.
-4, 3/5
Let x(q) = q**2 + 7*q + 9. Let p be x(-7). Let g be 43/9 - (-2)/p. Factor 17*r**3 - 5*r**4 - 4*r - 3*r**4 + 4*r**g - 10*r**4 + r**5.
r*(r - 2)*(r - 1)**2*(5*r + 2)
Let j(u) be the second derivative of -u**5/60 - 5*u**4/36 - 2*u**3/9 + 49*u. Factor j(d).
-d*(d + 1)*(d + 4)/3
Let -5/3*o**4 - 31/3*o**3 - 5/3*o - 31/3*o**2 + 0 = 0. Calculate o.
-5, -1, -1/5, 0
Let c(t) be the first derivative of 1/2*t**2 + 2/3*t - 1/12*t**4 + 0*t**3 + 13. Factor c(z).
-(z - 2)*(z + 1)**2/3
Let p(v) be the third derivative of -v**6/80 + v**4/16 + 59*v**2. Factor p(l).
-3*l*(l - 1)*(l + 1)/2
Let b = -16 + 18. Determine r, given that 0*r - r**b - 3*r + 5*r = 0.
0, 2
Let h(x) be the second derivative of -x**8/4200 - x**7/1050 + x**6/300 + 7*x**3/2 - 14*x. Let w(g) be the second derivative of h(g). Solve w(l) = 0.
-3, 0, 1
Let a be 23/((-2277)/(-18)) - 84/(-22). Let q(d) be the third derivative of 0 + 7*d**2 + 5/44*d**a + 0*d - 3/11*d**3 - 7/330*d**5 + 1/660*d**6. Factor q(k).
2*(k - 3)**2*(k - 1)/11
Let q(g) be the second derivative of 1/14*g**7 + 0*g**3 + 3/4*g**5 + 0 - 2/5*g**6 - 1/2*g**4 + 0*g**2 - g. Factor q(l).
3*l**2*(l - 2)*(l - 1)**2
Let w = 10 - 5. Suppose b + b + 34 = w*t, -t - 4 = -4*b. Let -6*z**4 - 5*z**3 - 23*z**3 + 26*z**4 + t*z**2 = 0. What is z?
0, 2/5, 1
Let x = -4 + 5/2. Let b = x - -2. Find t, given that -1 + 1/2*t**2 + b*t = 0.
-2, 1
Let y(b) be the second derivative of b**6/20 + 21*b**5/40 + b**4/2 - 3*b**3 - 32*b - 1. Factor y(p).
3*p*(p - 1)*(p + 2)*(p + 6)/2
Let k be (-30)/40*4/(-30). Let a(c) be the first derivative of k*c**5 + 0*c**2 + 0*c + 0*c**4 - 5 + 0*c**3. Determine l so that a(l) = 0.
0
Let h be (2 + -3 + 2)*-3. Let c be (-1 - h)*5/30. Suppose c*j + 1/6*j**2 + 1/6 = 0. Calculate j.
-1
Let c be (-8)/(-10)*20/(-1). Let f = c + 20. Factor -4*h**4 + 0*h**2 + 4*h**2 - h**4 - f*h**3 + h**4 + 4*h.
-4*h*(h - 1)*(h + 1)**2
Let g = 4 + -1. Suppose 9 = 26*q - 23*q. Factor 3*p**3 + g*p**3 - 4*p - p**2 + q*p**2.
2*p*(p + 1)*(3*p - 2)
Let l(c) be the third derivative of c**10/6048 - c**9/1512 + c**8/1344 + 5*c**4/4 - 7*c**2. Let m(f) be the second derivative of l(f). Factor m(h).
5*h**3*(h - 1)**2
Let l be (-10)/(-4)*(-660)/(-75). Let k = -9 + l. Let -k*t**4 - 4*t + 14*t**2 - 10*t**5 + 6*t**3 + 5*t + 3*t - t**4 = 0. Calculate t.
-1, -2/5, 0, 1
Suppose 5*f = -4*i + 284 - 89, 0 = 2*f + 5*i - 78. Let s be 91/f + (-1)/3. Factor -8*b**s - 3*b + 4*b - 8*b - 5*b + 4*b**3.
4*b*(b - 3)*(b + 1)
Suppose -16/7 - 2/7*h**3 - 12/7*h**2 - 24/7*h = 0. What is h?
-2
Let s(q) be the second derivative of q**5/5 + 2*q**4/3 - 2*q**3/3 - 4*q**2 - 109*q + 1. Find o, given that s(o) = 0.
-2, -1, 1
Let s be 2 + (-26 + -1)/(-3). Let j(l) = -10*l**2 - 11. Let w be ((-9)/15 + 1)*-5. Let k(q) = -2*q**2 - 2. Let a(i) = s*k(i) + w*j(i). Factor a(n).
-2*n**2
Let z(k) be the second derivative of 0 - 11/78*k**4 + 9/130*k**5 + 0*k**3 - 36*k + 4/13*k**2 - 2/195*k**6. Suppose z(c) = 0. Calculate c.
-1/2, 1, 2
Let t(s) = s**3 - 18*s**2 + 15*s + 36. Let b be t(17). Find j, given that 15 + 20*j + 0*j - 5*j**b - 10*j = 0.
-1, 3
Let g be (-3)/(105/(-70)*2/3). Let j(n) be the first derivative of -8 - 1/2*n**4 - 2*n**g + 0*n + 0*n**2. Factor j(v).
-2*v**2*(v + 3)
Let c = 4670 + -4668. Factor 2/7*u**c + 12/7*u + 0.
2*u*(u + 6)/7
Solve 2*u**5 + 6 - 278*u + 6*u**4 - 5*u**5 - 223*u + 6*u**3 - 12*u**2 + 498*u = 0 for u.
-1, 1, 2
Let z = 31794 - 31792. Factor 0 + 2/3*k**3 + 4/3*k + z*k**2.
2*k*(k + 1)*(k + 2)/3
Let s(d) be the first derivative of -11*d**4/16 + d**3/6 - 34. Suppose s(q) = 0. Calculate q.
0, 2/11
Let y be (-2 - -3)/(3/(-93)). Let z = y - -34. Let 9*g**3 - 18*g**2 - 3*g - 22*g**4 - 7*g**5 - 39*g**z - g + g**5 = 0. Calculate g.
-1, -2/3, 0
Suppose n - 13 - 3 = -5*f, -5*n = 4*f - 17. Let z = -8 + 11. Suppose -3*w**2 + 24*w + 9*w**z + f*w**5 - 24*w - 9*w**4 = 0. Calculate w.
0, 1
Suppose 0 = 4*u - 3*u - 4. Factor -3*w**2 - 540*w + 540*w + 3*w**u.
3*w**2*(w - 1)*(w + 1)
Find c, given that 0 - 2/5*c**2 + 0*c + 2/15*c**3 = 0.
0, 3
Suppose 5 = -33*h + 30*h - 5*c, 2 = -4*h - 2*c. Let i(a) be the second derivative of -2/45*a**5 - 1/135*a**6 + 0*a**2 + 0 + h*a**3 - 2/27*a**4 - a. Factor i(p).
-2*p**2*(p + 2)**2/9
Suppose 2*i + 23 = 5*f, 2*f - 4 = i + 6. Let q(z) be the third derivative of 0*z - 6*z**2 + 0*z**f - 1/270*z**5 - 1/36*z**4 + 0. Factor q(a).
-2*a*(a + 3)/9
Let l(c) be the third derivative of c**8/28 + 19*c**7/70 + 31*c**6/40 + 19*c**5/20 + c**4/8 - c**3 + 46*c**2. Suppose l(o) = 0. Calculate o.
-2, -1, 1/4
Let b(k) be the third derivative of -k**6/36 + 7*k**5/60 - k**4/6 + k**3/6 + 11*k**2. Let d(o) be the first derivative of b(o). Factor d(c).
-2*(c - 1)*(5*c - 2)
Factor 49/2*k**2 + 0*k + 1/2*k**4 + 7*k**3 + 0.
k**2*(k + 7)**2/2
Let q(z) = 4*z**2 + 1. Let k(c) = -20*c**2 - 76*c - 6. Let n(l) = k(l) + 6*q(l). Factor n(u).
4*u*(u - 19)
Suppose -32*w + 28*w = 0. Let z be (30/(-9) - -3) + 2. Factor z*m**2 + w + 2/3*m.
m*(5*m + 2)/3
Let n = 20 - 18. Factor 6*x**2 - 14*x**4 + 4*x**n - 4*x**3 - 10*x**2.
-2*x**3*(7*x + 2)
Let o = -64 + 64. Let j be (-4)/5*(-15)/54. Suppose 2/9*h**3 + j*h**5 + 0 + 0*h + o*h**2 + 4/9*h**4 = 0. What is h?
-1, 0
Let l be ((-10)/1260)/((-4)/(-6)). Let d = l + 341/420. Factor -2/5*m**3 - d*m + m**2 + 1/5.
-(m - 1)**2*(2*m - 1)/5
Let c(l) be the second derivative of -13/3*l**3 - 1/10*l**5 - 23*l + 6*l**2 + 4/3*l**4 + 0. Suppose c(v) = 0. What is v?
1, 6
Let t(b) be the second derivative of -b**9/3024 + 11*b**4/6 - 8*b. Let w(m) be the third derivative of t(m). Factor w(i).
-5*i**4
Factor 3*a**5 + 3*a**5 + 87*a**2 + 40*a**4 - 3*a**2 - 286*a**3 + 380*a**3 + 8*a - 16.
2*(a + 1)*(a + 2)**3*(3*a - 1)
Find o such that 162*o**2 + 13*o + 35 + 47*o + 22*o + 1 - 20*o**3 + 76*o = 0.
-1/2, -2/5, 9
Let a(p) be the first derivative of -p**3/15 - 11*p**2/10 - 2*p + 407. Determine q, given that a(q) = 0.
-10, -1
Let d be (-8 - (-11 + 3))/(4 + -1). Let o(g) be the second derivative of 1/3*g**6 + 5/4