or a(z).
(z - 2)**3/5
Let x(m) be the first derivative of -2/13*m**3 + 4 - 4/13*m + 7/13*m**2. Factor x(d).
-2*(d - 2)*(3*d - 1)/13
Let x(q) = 3*q - 3. Let k be x(-8). Let n = k - -29. Let 0 + 3/5*l - 3/5*l**n = 0. Calculate l.
0, 1
Let d be (0 - 26/(-12)) + -2. Let y(l) be the second derivative of d*l**4 + l**2 + 2/3*l**3 - l + 0. Find c, given that y(c) = 0.
-1
Suppose -6*r + 4*r = -6. Factor 15/2*u**2 - 3/2*u**r - 12*u + 6.
-3*(u - 2)**2*(u - 1)/2
Find h, given that 8/9*h**2 - 4/9*h**3 + 0 - 4/9*h = 0.
0, 1
Let w(z) be the first derivative of -z**7/280 + 3*z**6/160 - 3*z**5/80 + z**4/32 - 3*z**2/2 - 1. Let s(j) be the second derivative of w(j). Factor s(o).
-3*o*(o - 1)**3/4
Let h = 2727/5 - 545. Factor 2/5*c + h*c**5 + 0 + 12/5*c**3 - 8/5*c**4 - 8/5*c**2.
2*c*(c - 1)**4/5
Factor 8/7 - 12/7*m**3 + 26/7*m**2 + 2/7*m**4 - 24/7*m.
2*(m - 2)**2*(m - 1)**2/7
Let g(t) be the second derivative of -1/10*t**4 + t - 3/5*t**2 + 0 - 8/15*t**3 + 1/25*t**5. Determine n so that g(n) = 0.
-1, -1/2, 3
Suppose 0 + 4/11*c + 10/11*c**2 + 2/11*c**4 + 8/11*c**3 = 0. Calculate c.
-2, -1, 0
Let c(s) be the third derivative of -1/35*s**7 + 0*s**4 - 2*s**2 - 1/168*s**8 + 0 - 1/30*s**5 - 1/20*s**6 + 0*s + 0*s**3. Factor c(f).
-2*f**2*(f + 1)**3
Let p(k) be the first derivative of k**7/210 - k**5/25 + k**4/30 + k**3/10 - k**2/5 + 9*k - 8. Let y(c) be the first derivative of p(c). Solve y(a) = 0.
-2, -1, 1
Suppose 8 + 8 = -4*s. Let u = s + 6. Find w, given that -3 + w**2 - 3*w**u + 2 + 3 = 0.
-1, 1
Factor -2/11*o**3 + 4/11*o**4 - 2/11*o**5 + 0*o**2 + 0 + 0*o.
-2*o**3*(o - 1)**2/11
Factor 2/7*p**2 - 2/7*p**3 + 0 + 0*p.
-2*p**2*(p - 1)/7
Let p be (0 - 4/(-28))/((-2)/(-7)). Suppose -1/2*z + 1/2*z**3 - 1/2*z**2 + p = 0. What is z?
-1, 1
Let p(i) be the second derivative of i**4/24 - i**3/12 + i. Factor p(j).
j*(j - 1)/2
Let p(d) be the third derivative of 0 + 1/24*d**6 + 0*d - 5/1008*d**8 + 2*d**2 + 1/315*d**7 + 0*d**3 + 1/18*d**4 - 4/45*d**5. Let p(l) = 0. What is l?
-2, 0, 2/5, 1
Let n = -53639/300 + 894/5. Let g(a) be the third derivative of 1/60*a**4 + 0*a**3 - n*a**6 + 0*a**5 + 0 + 0*a - a**2. Factor g(k).
-2*k*(k - 1)*(k + 1)/5
Let z be 27*6/9 - 2. Let j be ((-4)/(-50))/(z/80). What is c in -2/5*c**3 + j*c + 3/5*c**4 - 4/5*c**2 + 1/5 = 0?
-1, -1/3, 1
Let c = 19 - 17. Find t, given that -2/5*t**3 + 2/5*t**c - 2/5 + 2/5*t = 0.
-1, 1
Suppose 12 = f + 3*f. Suppose n**5 - 6*n**4 + n**5 + 2*n**3 + n**f + n**5 = 0. Calculate n.
0, 1
Let j(q) = -5*q**4 + 35*q**3 + 13*q**2 - 27*q - 24. Let p(l) = 2*l**4 - 12*l**3 - 4*l**2 + 9*l + 8. Let k(z) = -3*j(z) - 8*p(z). Factor k(y).
-(y - 1)*(y + 1)**2*(y + 8)
Let a(j) = 9*j**3 + 6*j**2 - 6*j. Let w(k) = k**2. Let c(p) = a(p) - 3*w(p). Factor c(b).
3*b*(b + 1)*(3*b - 2)
Let f(s) be the first derivative of -2/27*s**3 + 0*s**2 + 0*s**4 + 2/45*s**5 + 0*s - 3. Factor f(a).
2*a**2*(a - 1)*(a + 1)/9
Let u(t) be the second derivative of t**8/840 - t**7/525 - t**6/300 + t**5/150 - t**2 - 4*t. Let m(i) be the first derivative of u(i). Factor m(h).
2*h**2*(h - 1)**2*(h + 1)/5
Let 0*s + 2/5*s**2 + 0 - 6/5*s**3 + 6/5*s**4 - 2/5*s**5 = 0. Calculate s.
0, 1
Suppose 0 = u - 4 - 5. Suppose 0*x + 3*x - u = 0. Determine s so that 0*s**2 + 0*s + 0 + 2/3*s**x + 2/3*s**5 - 4/3*s**4 = 0.
0, 1
Let v = 1 - 1. Suppose -5*i + 3*r - 2 + 12 = v, i - 2 = 5*r. Factor 4*f**2 - f**3 - 8*f**2 + i*f + 3*f**3.
2*f*(f - 1)**2
Let h(k) be the first derivative of -2*k**3/21 - 3*k**2/7 + 8*k/7 - 11. Determine i so that h(i) = 0.
-4, 1
Let x(h) be the second derivative of 5*h**7/42 - h**6/15 - h**5/4 + h**4/6 - 37*h. Determine a, given that x(a) = 0.
-1, 0, 2/5, 1
Let d(z) be the first derivative of 16*z**6/15 - 208*z**5/25 + 241*z**4/10 - 92*z**3/3 + 76*z**2/5 - 16*z/5 - 1. Factor d(j).
2*(j - 2)**3*(4*j - 1)**2/5
Let f = -45 + 47. Let 2*l + 4/7 + 10/7*l**f = 0. Calculate l.
-1, -2/5
Let t(h) = -11*h**4 + 22*h**3 - h**2 - 26*h + 14. Let n(m) = 78*m**4 - 153*m**3 + 6*m**2 + 183*m - 99. Let i(u) = -2*n(u) - 15*t(u). Let i(d) = 0. Calculate d.
-1, 2/3, 1, 2
Suppose 2*n = h + 4 - 0, 5*n - 2*h - 12 = 0. Let v(q) be the third derivative of 3*q**2 - 1/8*q**n + 0*q - 1/60*q**5 + 0 + 0*q**3. Factor v(g).
-g*(g + 3)
Let t(p) be the first derivative of -p**4/18 - 4*p**3/9 - 4*p**2/3 + 4*p + 2. Let x(d) be the first derivative of t(d). Factor x(n).
-2*(n + 2)**2/3
Let j(g) = -2*g**3 - 3*g**2 + 2*g. Let b(d) = d**3 + 5*d**3 - 3*d**2 - 3*d**3 + 2*d - 4*d**3. Let n(l) = 3*b(l) - 4*j(l). Solve n(c) = 0 for c.
-1, 0, 2/5
Let f(i) be the first derivative of 0*i - 4/9*i**3 + 7/9*i**6 - 32/15*i**5 + 11/6*i**4 - 6 + 0*i**2. Factor f(k).
2*k**2*(k - 1)**2*(7*k - 2)/3
Let z(t) be the third derivative of t**5/150 - t**4/30 - t**3/5 + 15*t**2. Factor z(d).
2*(d - 3)*(d + 1)/5
Let n(y) = y. Let t(z) = -14*z**2 - 95*z - 24. Let j(o) = 14*n(o) + 2*t(o). What is s in j(s) = 0?
-6, -2/7
Let d(o) = -o**2 - 6*o + 76. Let f be d(6). Solve -18/7*a**f + 4/7*a**2 - 2/7 + 24/7*a**3 - 8/7*a = 0 for a.
-1/3, 1
Let z(m) be the first derivative of m**5/30 + 5*m**4/24 + m**3/2 + 7*m**2/12 + m/3 + 16. Factor z(b).
(b + 1)**3*(b + 2)/6
Let b(u) be the second derivative of u**4/60 - 4*u**3/15 + 8*u**2/5 + 16*u. Determine x so that b(x) = 0.
4
Let h be 5*(60/25 - 2). Let i(b) be the second derivative of 0*b**3 - b + 0*b**h + 0 - 1/12*b**4. Let i(j) = 0. Calculate j.
0
Determine g so that g**2 - 8 - 1 + 18 + 6*g = 0.
-3
Let y be 1*-1*(-48)/42. Suppose -y*a + 2/7*a**2 + 8/7 = 0. Calculate a.
2
Factor -2 + s**3 - 2*s + 4*s**2 + 2 - 3*s**3.
-2*s*(s - 1)**2
Let n(a) be the second derivative of 7/60*a**4 + 0 + 1/6*a**3 + 3*a - 1/5*a**2. Determine c, given that n(c) = 0.
-1, 2/7
Let i be 2/(-12) + 55/(-30). Let o be (-8)/(-6) + (-3 - i). Suppose 0*q - o*q**3 + 1/3*q**2 + 0 = 0. Calculate q.
0, 1
Let c(k) be the second derivative of -k**5/35 + 7*k. Factor c(d).
-4*d**3/7
Let g(h) be the first derivative of -h**4/16 + h**3/12 + 5*h**2/8 + 3*h/4 - 8. Factor g(q).
-(q - 3)*(q + 1)**2/4
Let c(k) be the second derivative of -k**9/5040 + k**8/3360 + k**7/2520 - k**4/12 + 2*k. Let q(r) be the third derivative of c(r). Let q(o) = 0. What is o?
-1/3, 0, 1
Let z = 5 + -2. Let b = 72 - 135/2. Factor 3*t**3 + 3/2*t**5 - b*t + 3/2 - 9/2*t**4 + z*t**2.
3*(t - 1)**4*(t + 1)/2
Let g(k) be the third derivative of -k**5/15 + k**4 - 6*k**3 + 4*k**2. Suppose g(p) = 0. What is p?
3
Let w(i) = i**3 - 2*i + 2. Let h(a) = 4*a**3 - 9*a + 9. Let c(m) = 2*h(m) - 9*w(m). Find q such that c(q) = 0.
0
Let v(f) be the second derivative of -7*f**6/60 - 3*f**5/10 + f**4/6 - 13*f. Factor v(h).
-h**2*(h + 2)*(7*h - 2)/2
Determine b, given that 0 - 3/7*b + 1/7*b**3 - 2/7*b**2 = 0.
-1, 0, 3
Let m = -3 + 5. Suppose b = m*b. Find a such that b*a + 4*a**4 + a - a**2 - 3*a**4 - a**3 = 0.
-1, 0, 1
Let o(g) = g + 6. Let c be o(5). Suppose -4*r - 2*v + c = -5*v, 0 = -5*r + 3*v + 13. Solve -2 + 4*y + 4 - 4*y**r - 2 + y**3 = 0.
0, 2
Let t(g) = -g**5 - g**4 + 3*g**2 + 3*g + 3. Let a(u) = -4*u**5 - 5*u**4 + 13*u**2 + 13*u + 13. Let r(z) = -6*a(z) + 26*t(z). Find k such that r(k) = 0.
0, 2
Let z(n) = -6*n**2 + 6*n - 132. Let v(x) = x**2 - x + 26. Let t(u) = -21*v(u) - 4*z(u). Factor t(p).
3*(p - 3)*(p + 2)
Let q(z) be the third derivative of z**5/390 + z**4/156 + 12*z**2. Factor q(v).
2*v*(v + 1)/13
Let t(i) = 8*i**3 - 73*i**2 + 84*i - 31. Let z(l) = -9*l**3 + 72*l**2 - 84*l + 30. Suppose 4*p = -14 - 14. Let k(v) = p*z(v) - 6*t(v). Factor k(m).
3*(m - 2)**2*(5*m - 2)
Let b(n) be the third derivative of 3*n**7/70 - n**6/6 + 13*n**5/60 - n**4/12 + 21*n**2. Factor b(t).
t*(t - 1)**2*(9*t - 2)
Let o(a) be the first derivative of 4*a**3/21 + 8*a**2/7 - 48*a/7 - 46. Suppose o(z) = 0. What is z?
-6, 2
Let p = -11/9 + 80/63. Let f(o) be the third derivative of 7/60*o**5 + o**2 + 0 + 1/120*o**6 + 0*o + 1/12*o**4 - p*o**7 + 0*o**3. Factor f(s).
-s*(s - 1)*(2*s + 1)*(5*s + 2)
Let r(k) be the second derivative of 0*k**2 - 1/21*k**7 + 0*k**3 - 3/10*k**5 - 4*k + 1/6*k**4 + 1/5*k**6 + 0. Suppose r(w) = 0. Calculate w.
0, 1
Factor 0*o + 1/6 + 0*o**3 + 1/6*o**4 - 1/3*o**2.
(o - 1)**2*(o + 1)**2/6
Let o = -1 - -2. Suppose p - 3 = o. Solve -3*v**p + 0*v**3 + 5*v - 6*v**3 + 9*v**2 + 7*v - 12 = 0 for v.
-2, 1
Let x = 3267/2 + -1599. Suppose 42*k - x*k**3 - 33*k**4 + 12 - 15/2*k**5 + 21*k**