+ 6*o - 62. Factor g(z).
-(z - 6)*(z + 1)**2
Let o(v) be the first derivative of v**6/1620 + v**5/180 + v**4/54 + 2*v**3/3 + 3. Let h(x) be the third derivative of o(x). Determine w so that h(w) = 0.
-2, -1
Let a be 60/18 - (-4)/6. Factor 4*p**3 - a*p + 2 + 3 - 2*p**2 - 3.
2*(p - 1)*(p + 1)*(2*p - 1)
Let z(t) = -15*t**5 - 19*t**4 - 11*t**3 - 3*t**2 - 7*t - 11. Let n(p) = 4*p**5 + 5*p**4 + 3*p**3 + p**2 + 2*p + 3. Let w(i) = -22*n(i) - 6*z(i). Factor w(v).
2*v*(v - 1)*(v + 1)**3
Suppose -k - 34 = -5*o, o - 16 - 34 = 5*k. Let u be 3*(-1)/k*0. Find t, given that 0*t + u + 0*t**2 + 2/5*t**5 + 2/5*t**3 + 4/5*t**4 = 0.
-1, 0
Let f be ((-2)/100)/((-12)/(-12)). Let u = 12/25 - f. Factor -1/2*z + u*z**3 - 1/2 + 1/2*z**2.
(z - 1)*(z + 1)**2/2
Factor -5*l**5 - 5*l - 2138*l**4 + 2138*l**4 + 10*l**3.
-5*l*(l - 1)**2*(l + 1)**2
Let s(g) be the third derivative of 0*g**4 + 0*g + 1/105*g**5 - 1/245*g**7 - 3*g**2 + 0 + 0*g**3 - 1/420*g**6. What is n in s(n) = 0?
-1, 0, 2/3
Let u(g) be the first derivative of -4*g**5/15 - 6*g**4 - 36*g**3 - 27. Factor u(v).
-4*v**2*(v + 9)**2/3
Let z = -14 - -11. Let d be 6*(z/(-6))/1. Determine g so that 6*g - 5*g**d - 2*g**5 + 4 - 2 + 4*g**2 - 6*g**4 + g**3 = 0.
-1, 1
Let w(f) be the second derivative of -f**5/5 + 2*f**4 - 64*f**2 - 6*f. Factor w(m).
-4*(m - 4)**2*(m + 2)
Let s(r) be the third derivative of r**5/40 - r**3/4 - 18*r**2. Determine y, given that s(y) = 0.
-1, 1
Let z(h) = h**2 - h. Let j(y) = -3*y**2 - 2*y - 2*y**2 + 6*y. Let f(g) = j(g) + 4*z(g). Factor f(k).
-k**2
Suppose -v = 3*f - 9, 3*v - 3 = -5*f + 4*f. Factor v*h**2 + 0*h + 2/9*h**3 + 0.
2*h**3/9
Let c(g) be the second derivative of 1/45*g**6 - 3*g + 0*g**2 + 1/30*g**5 - 1/18*g**4 + 0 - 1/9*g**3. Determine l, given that c(l) = 0.
-1, 0, 1
Let z(m) be the second derivative of m**4/12 - m**3/3 - 13*m. Suppose z(i) = 0. What is i?
0, 2
Let r(l) be the first derivative of -l**4/30 + 2*l**3/15 - l**2/5 + 2*l + 2. Let p(n) be the first derivative of r(n). Factor p(k).
-2*(k - 1)**2/5
Let u(t) be the second derivative of -1/21*t**6 + 9/70*t**5 - 1/6*t**4 + 1/147*t**7 + 0*t**2 - 10*t + 2/21*t**3 + 0. Factor u(w).
2*w*(w - 2)*(w - 1)**3/7
Let n(c) = -10*c**2 - 7*c - 6. Let f = 20 + -13. Let a(z) = -11*z**2 - 8*z - 7. Let l(s) = f*n(s) - 6*a(s). Suppose l(m) = 0. What is m?
-1/4, 0
Let m(u) = 15*u**5 + u**4 - 7*u**3 - 7*u**2 - 7*u. Let p(s) = 4*s**2 + 4*s**3 + 4*s - 8*s**5 - 95*s**4 + 95*s**4. Let t(d) = -4*m(d) - 7*p(d). Factor t(h).
-4*h**4*(h + 1)
Let v(u) be the first derivative of -7*u**6/20 + 6*u**5/5 - 11*u**4/8 + u**3/2 + 3*u + 3. Let q(k) be the first derivative of v(k). Solve q(t) = 0.
0, 2/7, 1
Determine m, given that -5*m**2 + 12*m**2 + 0*m - 4*m**3 - 23*m**2 - 16*m = 0.
-2, 0
Let s(h) be the third derivative of 1/105*h**7 + 0*h**3 - h**2 + 0 + 0*h - 1/30*h**5 + 0*h**4 + 0*h**6. Suppose s(d) = 0. Calculate d.
-1, 0, 1
Suppose l = 3*l. Let r(d) be the third derivative of 1/60*d**4 - d**2 + l*d + 0*d**3 - 1/75*d**5 + 0. Factor r(u).
-2*u*(2*u - 1)/5
Suppose -6*k - 5*s - 10 = -8*k, 4*k - 3*s = 6. Suppose 0*v + 4/9*v**2 - 2/9 + k*v**3 - 2/9*v**4 = 0. What is v?
-1, 1
Suppose 163 = 5*u + j, 0 = -2*u - j + 11 + 56. Let r be u/18 - 2/(-9). Determine n, given that 1/2 + 1/2*n**r + n = 0.
-1
Solve -14/25*f**3 + 0*f + 2/25*f**5 + 4/25*f**4 + 8/25*f**2 + 0 = 0 for f.
-4, 0, 1
Let o(f) be the second derivative of f**7/126 - f**5/60 + 10*f. Determine k so that o(k) = 0.
-1, 0, 1
Let s(a) be the third derivative of a**6/60 - a**4/3 + 4*a**2. What is y in s(y) = 0?
-2, 0, 2
Solve -2/3 + 1/3*f**4 + 1/3*f**3 - 5/3*f - f**2 = 0.
-1, 2
Factor -2/9*t**3 - 14/9*t - 10/9*t**2 - 2/3.
-2*(t + 1)**2*(t + 3)/9
Let r(k) be the second derivative of -5*k**4/24 + 5*k**3/6 + 15*k**2/4 + 4*k. Factor r(q).
-5*(q - 3)*(q + 1)/2
Suppose 0*i**3 - 1/4*i**4 + 5/4*i**2 + 0*i - 1 = 0. Calculate i.
-2, -1, 1, 2
Let s(o) be the second derivative of -o**5/18 - o**4/27 + 5*o**3/27 + 2*o**2/9 + 5*o. Factor s(h).
-2*(h - 1)*(h + 1)*(5*h + 2)/9
Suppose 0*h**3 + h**2 - 9*h**3 + 7*h**3 + h**4 = 0. What is h?
0, 1
Let i(p) be the second derivative of 0 + 0*p**3 - 3*p + 1/30*p**4 - 1/5*p**2. Factor i(n).
2*(n - 1)*(n + 1)/5
Factor -14/19*i**2 + 4/19 - 10/19*i.
-2*(i + 1)*(7*i - 2)/19
Let i be 16/(-10) + 4/(-10). Let u be (i/(-4))/((-3)/(-6)). Factor -q + u - 4 + 0*q + 4 - q**2 + q**3.
(q - 1)**2*(q + 1)
Let z(s) = -5*s**4 - 21*s**3 - 5*s**2 + 9*s + 10. Let k(w) = w**3 + w. Let q(x) = 6*k(x) + z(x). Find o, given that q(o) = 0.
-2, -1, 1
Let l = 8 - 8. Let a be -6*(3 - l)/(-6). Factor -4/5*b**4 + 4/5*b**2 + 2/5*b**5 - 2/5*b + 0*b**a + 0.
2*b*(b - 1)**3*(b + 1)/5
Let d(s) be the first derivative of 4*s**5/15 + 11*s**4/6 + 34*s**3/9 + 2*s**2 - 30. Determine u, given that d(u) = 0.
-3, -2, -1/2, 0
Let x(p) be the first derivative of 3*p**4/4 - 3*p**3 + 9*p**2/2 - 3*p - 4. Suppose x(u) = 0. Calculate u.
1
Let o = -538 + 538. Factor 3/4*l**3 - 1/4*l**2 + o*l - 3/4*l**4 + 0 + 1/4*l**5.
l**2*(l - 1)**3/4
Suppose 4*q - 5*q - 785 = 2*f, 0 = f + 4*q + 410. Let d = f - -3524/9. Suppose -10/9*c**2 - 2*c**3 - 4/9*c**5 + 0 - 2/9*c - d*c**4 = 0. Calculate c.
-1, -1/2, 0
Let x = 1 + 3. Let m be (7/10)/((-2)/(-4)). Suppose -n + 2/5 + m*n**x - 9/5*n**2 + n**3 = 0. Calculate n.
-1, 2/7, 1
Factor 72*p + 68*p - 142*p + 2*p**5 + 4*p**4 - 4*p**2.
2*p*(p - 1)*(p + 1)**3
Factor -3*c**4 + 197*c**2 - 203*c**2 + 9*c**3 + 0*c**4.
-3*c**2*(c - 2)*(c - 1)
Let v(o) be the first derivative of -2*o**5/5 - o**4/2 + 2*o**3 + 5*o**2 + 4*o - 5. Factor v(s).
-2*(s - 2)*(s + 1)**3
Factor 4*g**3 + 0 + 0*g + 16/3*g**4 - 4/3*g**2.
4*g**2*(g + 1)*(4*g - 1)/3
Suppose c + z + 3 = -3*z, -2 = c + 3*z. Factor -y**3 + c - 5*y**2 + 2*y**2 + y + 2*y**2.
-(y - 1)*(y + 1)**2
Let t(v) be the second derivative of 2*v**7/105 - v**6/75 - v**5/25 + v**4/30 - 11*v. What is g in t(g) = 0?
-1, 0, 1/2, 1
Let v be 190/(-84) - (-6)/(-36) - -3. Find s, given that 4/7*s**2 - v*s**3 + 2/7*s - 2/7*s**4 + 2/7*s**5 - 2/7 = 0.
-1, 1
Let c be (2/5)/((-24)/(-1560)). Let x = c + -11. Factor 63/2*j**2 - x*j + 2 - 49/4*j**3.
-(j - 2)*(7*j - 2)**2/4
Factor 15/7*j - 3/7*j**2 + 18/7.
-3*(j - 6)*(j + 1)/7
Let c be (8 - 7) + (31 - 0). Let s be c/14 + 20/(-70). What is x in 1/3*x**s + 4/3 + 4/3*x = 0?
-2
Let 14/19*b**3 + 26/19*b + 34/19*b**2 + 6/19 = 0. What is b?
-1, -3/7
Let b be 72/(-27)*33/2. Let k = b + 310/7. Factor -8/7 + 8/7*i - k*i**2.
-2*(i - 2)**2/7
Suppose 0 = -s - 5 - 1. Let d = s + -1. Let z(n) = 6*n**3 + 7*n**2 + 5*n. Let v(p) = -11*p**3 - 13*p**2 - 9*p. Let j(t) = d*z(t) - 4*v(t). Factor j(o).
o*(o + 1)*(2*o + 1)
Let 10*s - 6*s**4 - s - 8*s**2 - 7*s**2 + 3*s**3 + 9*s**4 = 0. What is s?
-3, 0, 1
Let y = 18 + -16. Solve 0 - 2/3*x**3 + 0*x**y + 2/3*x = 0.
-1, 0, 1
Let o be 0 + 6*1/2. Suppose 3*m - j - 12 = 0, o*m - 2*j - 6 = 6. Factor 5*y**2 - 3*y - y**3 - y - y**m + 5*y - 4*y**2.
-y*(y - 1)*(y + 1)**2
Let a(d) be the first derivative of d**8/560 - d**7/280 + 2*d**3/3 + 4. Let s(y) be the third derivative of a(y). Let s(j) = 0. What is j?
0, 1
Let h(d) be the second derivative of 3*d**7/13 - 10*d**6/13 + 53*d**5/65 - 2*d**4/13 - 3*d**3/13 + 2*d**2/13 - 13*d. What is f in h(f) = 0?
-2/7, 1/3, 1
Let v(m) be the second derivative of m**10/75600 - m**9/12600 + m**8/8400 + m**4/3 - 3*m. Let w(c) be the third derivative of v(c). Factor w(l).
2*l**3*(l - 2)*(l - 1)/5
Let x = 63/10 + -29/5. Determine y, given that -x*y**2 - 1/2 + y = 0.
1
Let x(l) be the third derivative of -l**7/13860 + l**6/3960 - l**4/6 - 7*l**2. Let j(r) be the second derivative of x(r). Solve j(p) = 0.
0, 1
Suppose -24 = 223*f - 231*f. Determine t so that -1/4*t**f - 1/2*t**2 + 0 - 1/4*t = 0.
-1, 0
Let a(m) be the second derivative of m**6/60 + 3*m**5/40 - m**4/24 - m**3/4 - 36*m. Suppose a(o) = 0. Calculate o.
-3, -1, 0, 1
Let f(x) be the second derivative of 2*x**7/105 - 2*x**6/15 + 9*x**5/25 - 7*x**4/15 + 4*x**3/15 - x. Factor f(y).
4*y*(y - 2)*(y - 1)**3/5
Let u = 2432/15 - 162. Factor -6/5 - 4/5*d - u*d**2.
-2*(d + 3)**2/15
Let z(w) = -w**2 + 5*w + 8. Let c = -14 - -20. Let f be z(c). Determine p, given that -2*p**2 + 6*p**2 + f*p - 2*p**2 = 0.
-1, 0
Let g(i) be the second derivative of 1/2*i**4 + 0 - 2*i + 1/10*i**5 - 1/5*i**6 - 2/3*i**3 + 0*i**2 + 1/21*i**7. Suppose g(f) = 0. What is f?
-1, 0, 1, 2