e the second derivative of i(d). Factor c(r).
r*(r - 1)*(r + 2)/6
Let b(s) be the second derivative of -2*s**6/15 + s**5 - s**4 - 10*s**3/3 + 8*s**2 - 30*s. Determine g, given that b(g) = 0.
-1, 1, 4
Let l(y) = y**2 + y - 3. Let p be l(2). Factor p*u**2 + u**2 - 3*u**2 - 4*u**2 + 3.
-3*(u - 1)*(u + 1)
Let l(s) be the third derivative of -s**8/13440 + s**7/2520 + 7*s**4/24 + s**2. Let v(n) be the second derivative of l(n). Solve v(r) = 0.
0, 2
Suppose 2*m = 5*s, s = -s - 4*m. Factor s + 0*u - 1/3*u**2.
-u**2/3
Factor 10*u**2 - 8 - 40 - 14*u**2 - 52*u.
-4*(u + 1)*(u + 12)
Let t(p) = -p. Let v(i) = -2*i**2 + 2*i. Let z(b) = 6*t(b) - v(b). Let o(u) = -4*u**2 + 15*u. Let h(a) = 6*o(a) + 11*z(a). Factor h(n).
-2*n*(n - 1)
Factor 0 + 0*f**3 - 5/8*f**5 - 1/4*f**4 + 0*f + 0*f**2.
-f**4*(5*f + 2)/8
Let o(c) be the third derivative of -1/10*c**5 - 5/12*c**4 - c**2 + 0 + 0*c - 2/3*c**3. Factor o(d).
-2*(d + 1)*(3*d + 2)
Let q be (25 - -3)*94/(-20). Let y = q + 132. Factor 8/5*p - y*p**2 - 8/5.
-2*(p - 2)**2/5
Suppose x - 5*x = 0. Suppose 2*m - 6*m + 4*f + 24 = x, 5*f + 2 = -2*m. Find h, given that 5 - 116*h**3 + 78*h**m - 5 - 18*h**5 - 16*h + 72*h**2 = 0.
0, 2/3, 1, 2
Let s(g) be the first derivative of g**6/36 + g**5/30 - g**4/12 - 5. Suppose s(w) = 0. Calculate w.
-2, 0, 1
Let t(q) = -q**3 + 2*q**2 + 1. Let h be t(2). Let n(x) be the first derivative of 8/5*x - 36/5*x**2 - h + 54/5*x**3. Suppose n(s) = 0. What is s?
2/9
Suppose 116/5*y**3 - 10 - 26/5*y**4 - 212/5*y**2 + 2/5*y**5 + 34*y = 0. Calculate y.
1, 5
Suppose 22 + 2 = 12*q. Factor -1/2 + 1/4*u**q - 1/4*u.
(u - 2)*(u + 1)/4
Let d(x) = x**2 - 13*x + 42. Let q be d(5). Factor 1/3*p**3 + 0*p + p**q - 4/3.
(p - 1)*(p + 2)**2/3
Suppose -25 = -4*j + 3*h, j - h - 11 = -j. Let q be (4 - j)/(0 + 2). Solve 2/5*x**2 - 2/5*x + q = 0.
0, 1
Let z be (-20)/3*(-5)/25. Let m(d) be the first derivative of z*d + 2/9*d**3 - 2 + d**2. Find v, given that m(v) = 0.
-2, -1
Let w(l) be the second derivative of -l**6/6 - l**5/4 + 5*l**4/12 + 5*l**3/6 - 11*l. Factor w(q).
-5*q*(q - 1)*(q + 1)**2
Let f be (-31)/(-5) - 4/20. Determine j so that -f*j**3 - 3*j**4 + 2*j**5 + 7*j**4 + 4*j**3 + 4*j**3 = 0.
-1, 0
Let u(g) be the second derivative of 9*g**5/10 + 10*g**4/3 + 13*g**3/3 + 2*g**2 + 4*g. Factor u(a).
2*(a + 1)**2*(9*a + 2)
Let b = 46 - 43. Let d(t) be the second derivative of 0*t**2 - 1/54*t**4 + 3*t + 0 + 0*t**b. Factor d(j).
-2*j**2/9
Suppose -1 = -6*j + 23. Let d(r) be the second derivative of -1/20*r**5 - 1/12*r**j + 3*r + 0*r**2 + 0*r**3 + 0. Find u, given that d(u) = 0.
-1, 0
Let h(g) be the second derivative of g**7/252 + g**6/180 - g**5/60 - g**4/36 + g**3/36 + g**2/12 - 9*g. Factor h(b).
(b - 1)**2*(b + 1)**3/6
Let h = -2/13 - -47/52. Let -1/2 + 1/2*i**3 - 3/4*i + h*i**2 = 0. Calculate i.
-2, -1/2, 1
Let o(z) be the third derivative of -z**6/24 - z**5/3 - 25*z**4/24 - 5*z**3/3 - 5*z**2. Let o(j) = 0. Calculate j.
-2, -1
Let s = -93679/80 + 1171. Let y(i) be the second derivative of 0*i**2 - i + 1/48*i**4 - 1/24*i**3 + s*i**5 + 0 - 1/120*i**6. Factor y(h).
-h*(h - 1)**2*(h + 1)/4
Let i(b) = -7*b**3 - b**2 + 7*b + 6. Let s(d) = 4*d**3 - 4*d - 3. Let p(g) = -3*i(g) - 5*s(g). Let p(a) = 0. Calculate a.
-3, -1, 1
Let j(b) = b**3 - 2*b**2 - 14*b + 26. Let p be j(4). Let y(g) be the first derivative of p*g**2 + 0*g + 2/3*g**3 - 3 - 1/2*g**4. Factor y(i).
-2*i*(i - 2)*(i + 1)
Let g = -124843/48 - -2601. Let x = g + 9/16. Find o such that x*o + 1/3 + 1/3*o**2 = 0.
-1
Let o(m) = 3*m**2 - 8*m**2 + 4*m**2 - 5*m. Let l(t) = 4*t**2 + 26*t. Let h(c) = 2*l(c) + 11*o(c). Factor h(x).
-3*x*(x + 1)
Let f = -7 - -13. Suppose -3*b + f*b - 6 = 0. Find j, given that -j - 2*j**b - 22*j**3 + j - 2*j**2 - 28*j**4 = 0.
-1/2, -2/7, 0
Let c(g) = -5*g**3 - 7*g. Let t(w) = 9*w**3 + 13*w. Let p(i) = -2*i - 2. Let h be p(2). Let n(l) = h*t(l) - 11*c(l). Find k, given that n(k) = 0.
-1, 0, 1
Let d = -3326/9 - -370. Let u = 38/45 - d. Factor u*w - 1/5 - 1/5*w**2.
-(w - 1)**2/5
Let u = -8 + 12. Suppose u*i + 0*h = 4*h + 36, 4*h + 12 = -2*i. What is t in -1/2*t**2 + 0*t**3 + 0 + 1/2*t**i + 1/4*t**5 - 1/4*t = 0?
-1, 0, 1
Let w(z) = -z - 1. Let g be w(-6). Let n = g - -1. Factor -2*x**4 + 0*x**3 - 2*x**2 - 4*x**2 - n*x**3 - 2*x.
-2*x*(x + 1)**3
Let s = -14 - -28. Suppose s - 12 = n. Let -1/2*o**n + 0 + 1/4*o**3 + 1/4*o = 0. Calculate o.
0, 1
Let f(m) be the first derivative of m**7/1260 + m**6/720 - m**5/360 - m**4/144 - 2*m**2 + 1. Let t(c) be the second derivative of f(c). Factor t(r).
r*(r - 1)*(r + 1)**2/6
Suppose 7*q = 15*q. Let g(k) be the second derivative of q*k**3 - 2*k - 1/42*k**7 + 0 + 0*k**5 + 0*k**2 + 0*k**6 + 0*k**4. Factor g(l).
-l**5
Let u(s) = s**2 - 12*s + 2. Let x be u(12). Let -2*b**3 - 2*b**5 - 2*b**4 + x*b**3 = 0. What is b?
-1, 0
Let l be 3*(-12)/27 + (-4)/(-3). Factor l + 4/11*j - 6/11*j**2 + 2/11*j**3.
2*j*(j - 2)*(j - 1)/11
Suppose 0*v + 4*v = k + 4, 6 = -v + 2*k. Suppose -1/2 - 1/4*x + 1/4*x**v = 0. Calculate x.
-1, 2
Suppose 0 = -3*u + 3*f + 10 + 8, 0 = 4*u + f - 4. Find b such that -b + 0*b**4 + 0*b**4 - b**4 + b**3 + b**u = 0.
-1, 0, 1
Let g(p) = -p - 4. Let d be -8 + 8/2 + -2. Let j be g(d). Find z, given that 1/2*z + 1/4 - 3/4*z**j = 0.
-1/3, 1
Let x(u) be the second derivative of u**6/360 + u**5/60 + u**4/36 - u**2/2 - u. Let b(v) be the first derivative of x(v). What is k in b(k) = 0?
-2, -1, 0
Let h(l) be the second derivative of 4*l + 0 + 2/3*l**2 + 1/18*l**4 - 1/3*l**3. Factor h(z).
2*(z - 2)*(z - 1)/3
Let n(h) = -10*h**3 - 4*h**2 - 3*h - 3. Let g(u) = -30*u**3 - 12*u**2 - 8*u - 8. Let b(q) = -3*g(q) + 8*n(q). Solve b(f) = 0.
-2/5, 0
Find r such that -3*r**3 - 6*r + r + 8*r = 0.
-1, 0, 1
Let i(j) be the second derivative of 0 + 2*j**2 + 2*j + 1/12*j**4 + 2/3*j**3. Factor i(l).
(l + 2)**2
Let j(c) be the first derivative of -1/240*c**5 + 0*c**3 + 0*c + 1 - c**2 - 1/96*c**4. Let i(y) be the second derivative of j(y). Factor i(a).
-a*(a + 1)/4
Let s(d) = -d**3 - 3*d**2 + 2. Let h be s(-3). Factor 0*z + 2*z - 3 + 3*z**2 - h*z.
3*(z - 1)*(z + 1)
Let j(g) = g**3 + 3*g**2 - 2*g. Let t be j(-4). Let w = t + 10. Determine s, given that s**3 + 0 - s**w - 1/3*s**4 + 1/3*s = 0.
0, 1
Let o = -1 + 0. Let q = o - -3. Find t such that -5*t - t**3 - t**2 + 2*t**2 + q + 3*t**2 = 0.
1, 2
What is l in -2*l + 3*l + 2 + l**2 + l - 5*l = 0?
1, 2
Let m be 4/14 + 234/14. Let t = m - 14. What is v in 0 + 1/2*v + v**2 + 1/2*v**t = 0?
-1, 0
Let z(f) = 12*f**4 - f**3 - 38*f**2 - 13*f + 4. Let s(j) = -48*j**4 + 3*j**3 + 153*j**2 + 51*j - 15. Let i(x) = 2*s(x) + 9*z(x). Factor i(a).
3*(a - 2)*(a + 1)**2*(4*a - 1)
Suppose -3*b + 3 = -12. Let o(i) = i**3 - 2*i**2 - i + 7. Let r(y) = -y**3 + 2*y**2 + y - 8. Let w(s) = b*r(s) + 6*o(s). Suppose w(c) = 0. Calculate c.
-1, 1, 2
Let 0 - 2/5*x**4 + 1/5*x**5 + 2/5*x**2 + 0*x - 1/5*x**3 = 0. Calculate x.
-1, 0, 1, 2
Let y(d) be the second derivative of d**7/84 - d**6/30 + d**4/12 - d**3/12 + 15*d. Let y(w) = 0. What is w?
-1, 0, 1
Let w(m) be the first derivative of -2*m**3/15 - 4*m**2/5 - 6*m/5 - 6. What is z in w(z) = 0?
-3, -1
Let b(i) be the second derivative of -2*i - 1/18*i**3 - 5/72*i**4 + 0*i**2 + 0. Factor b(f).
-f*(5*f + 2)/6
Let x = 421/3 - 140. Let r = 5 + -5. Factor -x*g**3 - 1/3*g + r + 2/3*g**2.
-g*(g - 1)**2/3
Let a(r) be the second derivative of -4*r**6/255 - r**5/170 - r - 2. Factor a(b).
-2*b**3*(4*b + 1)/17
Let c(m) = -m**2 + 1. Suppose -3*v + 2*v = 2. Let i(y) = y**3 - y**2 + y + 3. Let g(x) = v*i(x) + 6*c(x). Factor g(q).
-2*q*(q + 1)**2
Let v be -7 + 2 - (0 - 1). Let j be 5*(v/(-5) + 0). Factor -4/7*a**2 + 2/7 - 2/7*a + 2/7*a**j + 4/7*a**3 - 2/7*a**5.
-2*(a - 1)**3*(a + 1)**2/7
Let i(r) be the second derivative of -r**6/6 + r**5/4 + 5*r**4/12 - 5*r**3/6 + 9*r. Solve i(l) = 0.
-1, 0, 1
Let d(x) be the first derivative of -x**6/24 + x**5/4 - 7*x**4/16 - x**3/12 + x**2 - x - 47. Suppose d(b) = 0. What is b?
-1, 1, 2
Solve 0 - 2/5*t - 2/5*t**2 = 0 for t.
-1, 0
Let v(i) be the first derivative of 2*i**3/39 - 36. Solve v(y) = 0 for y.
0
Let m = 17/9 - -160/9. Let u = m + -52/3. Determine a so that -2/3*a - u*a**2 - 4/3*a**3 + 1/3 = 0.
-1, 1/4
Let z = 1 + -1. Suppose i - 5*r = 12, -5*i + 4 = 3*r - z. Factor -2*q**i - q - 2 - q**3 + 2.
-q*(q + 1)**2
Determine b, given that 0 + 0*b + 6/