second derivative of -h**7/168 + h**6/30 - 3*h**5/40 + h**4/12 - h**3/24 + 2*h + 29. Factor b(x).
-x*(x - 1)**4/4
Let d = 1670/7 - 238. Suppose 2/7 + d*f + 2/7*f**2 = 0. Calculate f.
-1
Let d be (-50)/(-540)*86/3. Let y = 1/81 + d. Suppose 8/3*r**2 + 2/3*r**5 + 0 + 4*r**3 + y*r**4 + 2/3*r = 0. What is r?
-1, 0
Determine r so that -16 + 52*r**2 - 24*r**4 + 3*r**3 + 28*r**3 - 3*r**3 - 16*r = 0.
-1, -1/2, 2/3, 2
Factor 0 - 3/4*q - 1/4*q**2.
-q*(q + 3)/4
Let q(j) = -j**4 - j**2 - j - 1. Let v(g) = 3*g**4 + 12*g**3 + 56*g**2 + 110*g + 83. Let s(k) = -2*q(k) - v(k). Suppose s(w) = 0. What is w?
-3
Find o, given that 0 + 5*o - 5*o**3 + 5/2*o**4 - 5/2*o**2 = 0.
-1, 0, 1, 2
Let w be (45/11 + -3)*(-12)/(-9). What is f in -14/11*f**2 - w*f + 34/11*f**3 - 18/11*f**5 + 8/11 + 6/11*f**4 = 0?
-1, 2/3, 1
Determine h so that -5*h**3 + 16*h**2 - 10*h**3 + 16*h + 4*h**5 + 9*h**3 - 6*h**3 - 8*h**4 = 0.
-1, 0, 2
Let b = -27 - -48. Let w be 12/b*(-14)/(-20). Solve 1/5*g**2 + 1/5*g - w = 0 for g.
-2, 1
Let b = -65 - -67. Let z(h) be the third derivative of 0*h**3 - h**b + 1/60*h**4 + 0*h + 0*h**5 - 1/300*h**6 + 0. Factor z(l).
-2*l*(l - 1)*(l + 1)/5
Let q(s) = -5*s + 1 + 0*s**3 - 2*s + 9*s - 7*s**3 - s**2. Let o(v) = -3*v**3 + v. Let z(l) = -5*o(l) + 2*q(l). What is a in z(a) = 0?
-1, 1, 2
Let -4*u + 2*u**4 + 15*u**3 - 2 - 19*u**3 + 8*u**3 = 0. What is u?
-1, 1
Let d be (-120)/(-28) + (-4)/14. Suppose 2*m = 4*w, -4*w + 2*m = 5*m - 20. Factor 9*y**5 - 7*y**4 - d*y + 6*y + 0*y - 11*y**3 + 2*y**2 + 5*y**w.
y*(y - 1)**2*(y + 1)*(9*y + 2)
Suppose 0 = -s + 4 + 6. Suppose -k = -6*k + s. Suppose 4/5*b**k + 2/5*b - 4/5*b**4 + 0 - 2/5*b**5 + 0*b**3 = 0. Calculate b.
-1, 0, 1
Let x be 64 + 1*(0 + 3). Factor -37*u**2 + 225*u**4 + 16 - 40*u - x*u**2 + 8*u + 120*u**3.
(3*u + 2)**2*(5*u - 2)**2
Let i(p) = -p**3 - 6*p**2 - 7*p - 7. Let u be i(-5). Factor g**5 + 4*g**u - g**4 + 13*g**4 + 8*g**5.
g**3*(3*g + 2)**2
Let j = -1488 - -3041/2. Let g = j + -32. Factor g*f**2 + 0*f + 0.
f**2/2
Let m be (-1 - 1) + (-3)/(-1). Factor 5 + 3*g**2 - m + 14*g + 7*g**2.
2*(g + 1)*(5*g + 2)
Let w(q) = -16*q**2 - 10*q + 6. Let u(p) = p**3 + 15*p**2 + 9*p - 5. Let y(j) = 6*u(j) + 5*w(j). Determine f, given that y(f) = 0.
-1, -2/3, 0
Let x(v) be the second derivative of v**8/420 - v**7/210 - v**6/90 + v**5/30 + 4*v**3/3 + 6*v. Let j(g) be the second derivative of x(g). Factor j(n).
4*n*(n - 1)**2*(n + 1)
Let l = -14 - -17. Suppose 14 - 2 = 3*w. Factor q**l + 4 + w*q**3 - 6*q - 3*q**3 + 0*q**3.
2*(q - 1)**2*(q + 2)
Let n(i) be the third derivative of 0*i**4 + 1/30*i**5 + 3*i**2 + 0*i + 0 - 1/3*i**3. Let n(h) = 0. Calculate h.
-1, 1
Let g(j) = -j**3 + 6*j**2 + 2*j + 5. Let k be g(6). Let b = -17 + k. Factor -8/7*m + 6/7*m**3 + 0*m**2 + 2/7*m**4 + b.
2*m*(m - 1)*(m + 2)**2/7
Suppose 42 = -2*d + 4*d. Let y be 13/d + 4/(-14). Factor -1/3*f**2 + 0 - y*f.
-f*(f + 1)/3
Let h(j) be the second derivative of -j**8/3360 + j**7/560 - j**6/240 + j**5/240 - 2*j**3/3 + 2*j. Let b(a) be the second derivative of h(a). Factor b(r).
-r*(r - 1)**3/2
Let j(p) = p**3 - 5*p**2 + 6*p - 5. Let b be j(4). Factor -8*g - 28*g - 1 - b*g**3 - 18*g**2 - 23.
-3*(g + 2)**3
Let 0 - 1/2*n**2 + 7/4*n**4 + 0*n + 5/4*n**3 = 0. What is n?
-1, 0, 2/7
Suppose 4/3*n**3 - 4*n**2 + 4/3*n**4 - 8/3 - 20/3*n = 0. Calculate n.
-1, 2
Let q = 5 - 3. Factor -y**4 + 3*y**2 + y**3 - y + 0*y**4 - q*y**2.
-y*(y - 1)**2*(y + 1)
Let p(z) be the first derivative of -z**3/9 + 5. Factor p(g).
-g**2/3
Let m(t) be the first derivative of -4*t**3/3 + 2*t**2 + 8*t + 2. Factor m(v).
-4*(v - 2)*(v + 1)
Let k(s) = -4*s**2 - 134*s + 74. Let h be k(-34). Determine f, given that -9/2*f**2 + 3/2*f**4 + h + 6*f - 3*f**3 = 0.
-1, 2
Let r(c) be the third derivative of -11*c**5/60 + 11*c**4/24 - c**3/3 + c**2. Let n(z) = -4*z**2 + 4*z - 1. Let q(v) = -8*n(v) + 3*r(v). Factor q(x).
-(x - 2)*(x + 1)
Suppose 3*v - 12 = -v. Suppose -v*c = -5*c. Determine o so that 0*o**4 + 2/5*o - 4/5*o**3 + 0 + c*o**2 + 2/5*o**5 = 0.
-1, 0, 1
Let w = -151 - -155. Let x(j) be the second derivative of 0*j**3 + 0 + 0*j**2 - 2*j + 0*j**6 - 1/14*j**7 + 0*j**w + 3/20*j**5. Factor x(y).
-3*y**3*(y - 1)*(y + 1)
Let p(n) be the third derivative of -n**7/1260 - n**6/240 + n**5/180 + n**4/12 + 2*n**3/9 + 19*n**2. Factor p(f).
-(f - 2)*(f + 1)*(f + 2)**2/6
Let 11 - j**2 - 7 + 2*j - 5 = 0. Calculate j.
1
Let l(p) be the third derivative of -5*p**8/1344 + p**7/56 - p**6/32 + p**5/48 + 15*p**2. Factor l(t).
-5*t**2*(t - 1)**3/4
Let d(p) be the second derivative of p**5/330 - 5*p**4/132 + 4*p**3/33 - 7*p**2/2 + 3*p. Let a(z) be the first derivative of d(z). Find f, given that a(f) = 0.
1, 4
Let i = 92 - 62. Let 12 + 28*q**4 - 48*q - 132*q**3 - 44 + 154*q**2 + i*q**2 = 0. What is q?
-2/7, 1, 2
Let 5/3*g**3 - 14/9*g**2 - 4/3*g + g**4 + 8/9 = 0. Calculate g.
-2, -1, 2/3
Let t(v) be the third derivative of v**6/360 - 7*v**5/360 + v**4/36 + v**3/6 + 5*v**2. Let x(j) be the first derivative of t(j). Find o such that x(o) = 0.
1/3, 2
Let r(t) = 8*t**2 - 9*t + 1. Let n(z) = -7*z**2 + 8*z - 1. Let u(m) = -7*n(m) - 6*r(m). Let u(d) = 0. What is d?
1
Let h(g) be the second derivative of g**5/4 + 5*g**4 + 40*g**3 + 160*g**2 + g. Factor h(d).
5*(d + 4)**3
Let s = -2 - -2. Let x(b) be the second derivative of 0*b**4 - b + 0 + 1/20*b**5 - 1/6*b**3 + s*b**2. Factor x(t).
t*(t - 1)*(t + 1)
Let z = -3 + 7. Suppose 0 = z*q - 8*q + 12. Factor 3 - 15 + h + 3*h**q + 9*h**2 - h.
3*(h - 1)*(h + 2)**2
Let o(u) be the third derivative of -u**8/13440 - u**7/1680 - u**6/480 + u**5/20 + u**2. Let z(p) be the third derivative of o(p). Factor z(n).
-3*(n + 1)**2/2
Let l(w) = -w**2 + 9*w - 12. Let z be l(7). Let m(a) be the first derivative of 1 - 1/2*a**3 + 1/4*a**z + a. Suppose m(p) = 0. What is p?
-2/3, 1
Let r(p) be the second derivative of -p**6/10 - 21*p**5/20 - 9*p**4/2 - 10*p**3 - 12*p**2 - 9*p. Let r(q) = 0. Calculate q.
-2, -1
Let s(z) = 4*z**3 - 6*z**2 - 6*z + 6. Let i(h) = 9*h**3 - 13*h**2 - 13*h + 13. Let d(p) = 6*i(p) - 13*s(p). Factor d(x).
2*x**3
Factor -3/2*x**4 - 3*x + 3/2 + 3*x**3 + 0*x**2.
-3*(x - 1)**3*(x + 1)/2
Let z(s) be the second derivative of s**5/90 - s**4/27 + s**3/27 + 27*s. Factor z(j).
2*j*(j - 1)**2/9
Let d(a) = 5*a - 1 - 4*a**2 + 2*a + 10*a**2. Let m(i) = -5*i**2 - 5 + i + 4*i**2 + 5. Let l(x) = 2*d(x) - 18*m(x). Factor l(j).
2*(3*j - 1)*(5*j + 1)
Suppose 5*p - 3*p + 6 = 0. Let t = p + 5. Suppose 4*l**2 - 3*l**4 - l**3 - 6 + 3*l**3 - t*l**5 + 5 = 0. What is l?
-1, 1/2, 1
Let d = -274/5 + 55. Solve 9/5 + 6/5*p + d*p**2 = 0 for p.
-3
Let k be (10/(-16))/(21/(-42)). Let t**2 - 1/4*t**3 - k*t + 1/2 = 0. What is t?
1, 2
Let u(l) be the third derivative of -l**5/60 + 5*l**4/48 - l**3/6 + 37*l**2 - l. Solve u(j) = 0.
1/2, 2
Let k(c) = c**2 + 11*c + 12. Let w be k(-10). Suppose -1/4*i**w + 1/4*i + 0 = 0. What is i?
0, 1
Find i such that 2/3*i**5 + 0*i - 2*i**3 - 4/3*i**4 + 0*i**2 + 0 = 0.
-1, 0, 3
Let u = 3/19 + 42/95. Find l, given that 0*l - u*l**4 - 3/5*l**3 + 0 + 3/5*l**5 + 3/5*l**2 = 0.
-1, 0, 1
Suppose -5*m - 28 = -m. Let p = m + 7. Determine g so that p*g**2 + 0 - 2*g - 4 + g**2 + g**2 = 0.
-1, 2
Suppose 2*d = -0*d + 4. Suppose -5*o + d*o + 6 = 0. Factor 38/7*r**4 - 30/7*r**3 - 2*r**5 + 0 + 2/7*r**o + 4/7*r.
-2*r*(r - 1)**3*(7*r + 2)/7
Let q be (1*(-4)/28)/(-9). Let b(l) be the second derivative of q*l**7 + 0*l**2 + 0 + l - 1/30*l**5 + 0*l**6 + 0*l**3 + 0*l**4. Factor b(v).
2*v**3*(v - 1)*(v + 1)/3
Factor -5 - 2 - 18*u - 1 - 18*u**3 - 14*u - 42*u**2.
-2*(u + 1)*(3*u + 2)**2
Let -9/7*z**3 + 1/7*z**4 + 27/7*z**2 + 0 - 27/7*z = 0. What is z?
0, 3
Let p(v) = -v**2 - 6*v + 3. Let s be p(-6). Determine z so that 16*z**3 + 7*z**4 - 12*z**s - 4*z**2 - 4*z - 3*z**4 = 0.
-1, 0, 1
Let s(t) be the first derivative of -t**3 - 27*t**2/2 + 30*t - 9. Factor s(k).
-3*(k - 1)*(k + 10)
Solve 22/3*p**2 + 38/3*p**4 - 44/3*p**3 - 4/3*p + 0 - 4*p**5 = 0 for p.
0, 1/2, 2/3, 1
Let f(k) be the third derivative of k**6/120 - k**5/60 + 2*k**2. Let c(a) = 8*a**3 - 9*a**2 + a. Let n(h) = -2*c(h) + 18*f(h). Factor n(p).
2*p*(p - 1)*(p + 1)
Let k = -4238 + 1779961/420. Let u(q) be the third derivative of 1/40*q**5 - 1/240*q**6 - 1/6*q**3 + 0 + 1/48*q**4 + 0*q - k*q**7 + 2*q**2. Factor u(f).
-(f - 1)**2*(f + 1)*(f + 2)/2
Let z(l) be the t