*4/6 - p**3/2 + 9*p. Factor d(f).
f*(f - 3)*(f + 1)
Let w(r) be the second derivative of -r**4/6 + r**3/3 + 2*r**2 + 7*r. Factor w(l).
-2*(l - 2)*(l + 1)
Let k be 10/(-25) + (-3882)/45. Let z = k - -88. Factor -1/3 + z*b**3 + 4/3*b - 2*b**2 - 1/3*b**4.
-(b - 1)**4/3
Suppose -4*j + 0*j + 4 = 0. Suppose -2*l + 3*l = j. Suppose 3*d**4 - 24*d**3 + 2 + 14*d**5 + 0 - 2*d**5 + l + 12*d - 6*d**2 = 0. What is d?
-1, -1/4, 1
Factor 1/8*d**2 - 1/8 + 0*d.
(d - 1)*(d + 1)/8
Let j(g) be the second derivative of -g**4/42 - 2*g**3/21 - g**2/7 - 11*g. Find a such that j(a) = 0.
-1
Suppose 6*t - 12 = 4*t. Let k(c) = -c**3 + 7*c**2 - 5*c - 3. Let a be k(t). Determine q so that -2/3*q**4 + 0*q + 0 + 2/3*q**2 + 0*q**a = 0.
-1, 0, 1
Let y(w) be the first derivative of w**3/6 - w**2 - 5*w/2 + 7. Determine t so that y(t) = 0.
-1, 5
Let v(l) be the second derivative of l**7/462 + l**6/330 - 3*l**5/110 - l**4/33 + 4*l**3/33 + 2*l - 22. Solve v(i) = 0.
-2, 0, 1, 2
Let j(k) be the second derivative of k**6/10 + 3*k**5/10 + k**4/4 - 19*k. Determine b, given that j(b) = 0.
-1, 0
Let r = 218 - 216. Determine s so that 4/7*s**4 + 0*s + 2/7*s**3 + 2/7*s**5 + 0 + 0*s**r = 0.
-1, 0
Factor 6/5*i + 3/5 + 3/5*i**2.
3*(i + 1)**2/5
Suppose 0 = 2*s + 2*z - 6, -3*z + 0*z + 1 = s. Let y = s + 0. Factor 2*r**3 + 2 - y*r**4 - 2 + 2*r**2.
-2*r**2*(r - 1)*(2*r + 1)
Let s(f) be the first derivative of f**4/18 - 2*f**3/9 + f**2/3 - 2*f/9 + 24. Suppose s(g) = 0. Calculate g.
1
Let d(l) be the first derivative of l**6/80 - l**5/20 + l**4/16 + 5*l**2/2 + 4. Let t(f) be the second derivative of d(f). Suppose t(g) = 0. What is g?
0, 1
Let o(t) be the second derivative of 9*t**7/14 + 18*t**6/5 + 36*t**5/5 + 20*t**4/3 + 8*t**3/3 - 3*t. Factor o(j).
j*(j + 2)*(3*j + 2)**3
Let v be (-16)/6*15/(-55). Let u be (-174)/66 - (-1 - 2). Suppose -2/11 + u*o**5 - 8/11*o**2 - v*o + 10/11*o**4 + 4/11*o**3 = 0. Calculate o.
-1, -1/2, 1
Suppose -5*i + i = 0. Let j(z) be the second derivative of i - 1/12*z**4 - 1/3*z**3 + 4*z + 0*z**2. Suppose j(d) = 0. What is d?
-2, 0
Suppose -15*h**2 + 27/2*h**4 - 9/2*h + 3/2 - 3*h**3 + 15/2*h**5 = 0. What is h?
-1, 1/5, 1
Let g(s) be the second derivative of -7*s**10/2160 - s**9/360 + s**8/140 - s**7/315 + s**4/4 + 2*s. Let x(u) be the third derivative of g(u). Factor x(y).
-2*y**2*(y + 1)*(7*y - 2)**2
Let x be (-945)/(-245) + (-6)/7. Factor 1/4*o + 1/4*o**x + 0 - 1/2*o**2.
o*(o - 1)**2/4
Let q(w) be the second derivative of -w**6/210 + w**5/28 - 2*w**4/21 + 2*w**3/21 - w. Determine i, given that q(i) = 0.
0, 1, 2
Determine u, given that 5*u**4 - 9*u**4 - u + 2*u**2 + 2*u**2 - 3*u**3 + 4*u**5 = 0.
-1, 0, 1/2, 1
Let j(k) be the first derivative of 0*k - 2/3*k**3 - 9 + 0*k**2 + k**4 + 6/5*k**5. Find a, given that j(a) = 0.
-1, 0, 1/3
Let m be (-3)/(-6) - (-15)/10. Let i(q) = q**3 - 5*q**2 - q + 7. Let t be i(5). Solve 3*n**t + 2*n - m*n**2 + 2*n**2 - 4*n**2 = 0.
0, 2
Let i(p) = 3*p**4 + 96*p**3 + 279*p**2 + 375*p + 201. Let l(s) = s**4 + 24*s**3 + 70*s**2 + 94*s + 50. Let v(u) = -2*i(u) + 9*l(u). Suppose v(n) = 0. What is n?
-2
Let q(d) be the second derivative of d**7/630 - d**6/144 + d**5/120 - d**4/6 - d. Let r(y) be the third derivative of q(y). Factor r(j).
(j - 1)*(4*j - 1)
Let z(i) be the second derivative of 1/16*i**3 + 2*i + 0*i**2 + 0 - 1/32*i**4. Factor z(d).
-3*d*(d - 1)/8
Let x(s) be the first derivative of -s**4/42 + s**3/21 + 2*s - 2. Let l(h) be the first derivative of x(h). Factor l(d).
-2*d*(d - 1)/7
Let g(i) be the second derivative of -i**4/66 + 4*i**3/33 - 4*i**2/11 - 9*i. Suppose g(x) = 0. Calculate x.
2
Let k(h) = h**2 + h - 16. Let b be k(-5). Let c(z) be the second derivative of -3/2*z**2 - 1/8*z**4 - 3/4*z**3 + b*z + 0. Determine s, given that c(s) = 0.
-2, -1
Let p(t) be the third derivative of -t**6/480 - t**5/240 + 5*t**4/96 - t**3/8 - 13*t**2. Determine s so that p(s) = 0.
-3, 1
Let z(c) be the second derivative of -c**5/5 + 2*c**4/3 - 2*c**3/3 + c. Factor z(x).
-4*x*(x - 1)**2
Let z(w) be the first derivative of 8 + 2*w + 2/9*w**3 - 4/3*w**2. What is q in z(q) = 0?
1, 3
Factor 3*z**2 + 4*z**2 + 2*z**2 + 2*z.
z*(9*z + 2)
Let b(m) = 8*m**2 - 15*m - 8. Let q(i) = i**3 + 22*i**2 - 44*i - 24. Let z(r) = -8*b(r) + 3*q(r). Let z(n) = 0. What is n?
-2, -2/3, 2
Let u = 5/2 - 2. Let n = 1/6 + u. Factor -2/3*l - n*l**3 - 4/3*l**2 + 0.
-2*l*(l + 1)**2/3
What is p in 0 - 2/17*p**2 - 4/17*p = 0?
-2, 0
Suppose -15 = -4*g - 5*j + 8, 5*j - 11 = 2*g. Solve k**4 + 2*k**g + 5*k**4 + 2*k**5 + k**3 + 5*k**3 = 0.
-1, 0
Suppose 0 = 3*z + z. Factor f**2 - 5*f**3 + 0 + f + 4*f**3 - 1 + z*f**2.
-(f - 1)**2*(f + 1)
Let h(d) = -2*d + 10. Suppose -4*q + 13 + 7 = 0. Let x be h(q). Factor -1/3*p + x - p**2.
-p*(3*p + 1)/3
Let s(g) be the second derivative of 11/54*g**4 + 13/27*g**3 - 3*g + 2/9*g**2 + 0. Factor s(i).
2*(i + 1)*(11*i + 2)/9
What is w in -24*w - 2*w**3 + w**3 + 687 - 11*w**2 - 651 = 0?
-6, 1
Let x(a) = -a - 1. Let y be x(-5). Let w(b) = -7 + y + 2 + b. Let n(c) = -c**2 - 4*c + 5. Let u(v) = -n(v) - 4*w(v). Suppose u(m) = 0. What is m?
-1, 1
Suppose 4*z + 2*d - 5*d = 20, -8 = 2*d. Let f(y) be the second derivative of 2*y + 0 + 0*y**z + 5/12*y**4 - 1/3*y**3. Factor f(p).
p*(5*p - 2)
Let o = -573 + 34381/60. Let w(i) be the third derivative of 0 + 1/6*i**3 + 0*i**5 + 0*i + 1/12*i**4 + 2*i**2 - o*i**6 - 1/210*i**7. Solve w(u) = 0 for u.
-1, 1
Let l(d) = d**4 - 3*d**3 + 2*d**2 + 2*d - 2. Let z(u) = u**3 - u**2 - u + 1. Let y = -3 + 1. Let v(n) = y*z(n) - l(n). Factor v(h).
-h**3*(h - 1)
Let -2*m + 3*m**2 + 2*m**4 - 3*m**4 + 5*m**3 - 5*m**3 = 0. What is m?
-2, 0, 1
Let n be 24/40 + (-27)/(-5). Factor q**3 + 3 - n*q - 7 + 3*q**3 - 2*q**3.
2*(q - 2)*(q + 1)**2
Let f be (-140)/42*(-1)/15. Factor -2/9*p**3 - f*p**2 + 2/9*p + 2/9.
-2*(p - 1)*(p + 1)**2/9
Let x(f) = -3*f**3 - 2*f**2 - f + 1. Let o be x(2). Let w = 67/2 + o. Factor w*y**2 - 1/2*y**4 + 1/2*y + 0 - 1/2*y**3.
-y*(y - 1)*(y + 1)**2/2
Let q = 6 + -21/5. Let m(p) = -p**2 - 13*p. Let n be m(-13). Factor -q*x**2 - 3/5*x**3 + n*x + 12/5.
-3*(x - 1)*(x + 2)**2/5
Let c(a) be the first derivative of -a**8/112 + 3*a**6/40 + a**5/10 + 5*a**2/2 + 5. Let x(k) be the second derivative of c(k). Factor x(z).
-3*z**2*(z - 2)*(z + 1)**2
Let l(o) be the third derivative of -o**6/660 - o**5/165 - 6*o**2. Suppose l(i) = 0. Calculate i.
-2, 0
Let a(p) be the first derivative of -2/9*p**3 + 1/15*p**5 + 0*p**2 + 0*p**4 + 3 + 1/3*p. Suppose a(t) = 0. What is t?
-1, 1
Let x be 1 + 6*1/2. Let a(s) be the third derivative of 0*s + 1/3*s**3 - 1/60*s**5 - 1/24*s**x + 0 + 2*s**2. Factor a(f).
-(f - 1)*(f + 2)
Let i(m) be the second derivative of -m**7/1680 + m**5/240 - m**3/3 - m. Let p(y) be the second derivative of i(y). Let p(r) = 0. What is r?
-1, 0, 1
Let n(x) be the first derivative of -x**6/2 - 2*x**5 - 5*x**4/2 + 5*x**2/2 + 2*x - 5. Suppose n(t) = 0. Calculate t.
-1, 2/3
Let u(v) be the third derivative of 0 + 7/180*v**4 + 2/45*v**3 + 1/300*v**6 + 4/225*v**5 + 0*v - v**2. Factor u(n).
2*(n + 1)**2*(3*n + 2)/15
Suppose 0*h + 5 = 5*h. Let c be (8/60)/(h/3). Find m, given that 1/5*m + 1/5*m**3 + 0 - c*m**2 = 0.
0, 1
Find n such that -1/5*n**2 - 3/5*n**3 + 0*n - 3/5*n**4 + 0 - 1/5*n**5 = 0.
-1, 0
Let n(a) = 2*a**3 - 3*a**2 + 4*a**2 - 3 - 3*a**3 + 2. Let d(r) = -15*r**4 - 27*r**3 - 6. Let f(p) = d(p) - 6*n(p). Solve f(v) = 0 for v.
-1, -2/5, 0
Let w(r) be the third derivative of -17*r**6/200 + 8*r**5/25 - 13*r**4/40 - r**3/5 - 17*r**2. Factor w(m).
-3*(m - 1)**2*(17*m + 2)/5
Let f(j) = j**4 + j. Let n be (1 - 4)*2/(-3). Let k(b) = 2*b**4 - 2*b**2 + b + 1. Let a(g) = n*k(g) - 2*f(g). Determine i, given that a(i) = 0.
-1, 1
Let p = -7 - 6. Let k = 13 + p. Factor 0*a**2 + 3/5*a**4 + k + 3/5*a**3 + 0*a.
3*a**3*(a + 1)/5
Let i be 8/(-12)*(-2)/56. Let o(a) be the second derivative of 0*a**2 + a + 0 + i*a**4 + 2/21*a**3. Factor o(y).
2*y*(y + 2)/7
Let 36/7*b + 4/7 + 17/7*b**2 = 0. What is b?
-2, -2/17
Let x(i) be the second derivative of i**5/70 - i**4/14 - 3*i**3/7 - 5*i**2/7 - 7*i. Find f, given that x(f) = 0.
-1, 5
Let l(c) be the first derivative of 2*c**5/25 + 11*c**4/10 + 14*c**3/3 + 5*c**2 - 11. Find z such that l(z) = 0.
-5, -1, 0
Let y(t) be the third derivative of t**5/570 - t**4/228 - 2*t**3/57 + 3*t**2. Factor y(r).
2*(r - 2)*(r + 1