*2 - 3*v. Let g(s) = 2*s**4 - 2*s**3 + 2*s**2 + 2*s. Let d(u) = 5*g(u) + 4*q(u). Factor d(w).
-2*w*(w - 1)**2*(w + 1)
Let s(y) be the second derivative of 0 + y + 9/140*y**5 + 0*y**4 + 0*y**2 + 1/70*y**6 - 2/7*y**3. Solve s(h) = 0 for h.
-2, 0, 1
Let m(t) = t - 7. Let f be m(-8). Let k be (-1)/f*(-50)/(-15). Factor 0 - k*h**3 + 2/9*h**2 + 0*h.
-2*h**2*(h - 1)/9
Let c(j) be the first derivative of j**6/300 - j**4/20 + 2*j**3/15 - 2*j**2 - 1. Let h(d) be the second derivative of c(d). What is x in h(x) = 0?
-2, 1
Let h(d) be the first derivative of 2/25*d**5 + 2/5*d**2 + 2 + 0*d + 2/3*d**3 + 2/5*d**4. Determine n so that h(n) = 0.
-2, -1, 0
Let 6/5*q + 2/15 + 6/5*q**5 + 22/5*q**4 + 4*q**2 + 92/15*q**3 = 0. What is q?
-1, -1/3
Let v(z) be the first derivative of z**3/3 + 7*z**2/2 + 9*z - 3. Let d be v(-6). Determine a so that -a**2 - 3*a + 1 - a + a**d + 5*a - 2*a**3 = 0.
-1, 1
Let 1/2 + 1/2*w**2 - w = 0. What is w?
1
Determine y so that 268*y**3 + 16 - 16*y**5 + 25*y**5 + 27*y**5 + 80*y**4 + 76*y**4 + 96*y + 228*y**2 = 0.
-1, -2/3
Let m be (-6*1 + -2)/(-2). Suppose -6 - m = -5*h. Factor -2/7*c**4 + 0*c**3 + 0 + 0*c + 2/7*c**h.
-2*c**2*(c - 1)*(c + 1)/7
Let o = -4142/15 + 276. Let a = 67/60 - o. Suppose 7/4*b**4 + 5/4*b**3 - 9/4*b**2 - a*b + 1/2 = 0. Calculate b.
-1, 2/7, 1
Let r(k) be the first derivative of -1/6*k**3 - 1/10*k**5 - 3 + 3/8*k**4 + k - 3/4*k**2. Let r(g) = 0. Calculate g.
-1, 1, 2
Let t(i) be the first derivative of 3*i**5/5 + 11*i**4/8 + i**3 + i**2 + 6. Let x(l) be the second derivative of t(l). Factor x(v).
3*(3*v + 2)*(4*v + 1)
Let g be (-3)/((-6)/4) + 0. Let y(j) = -j**2 + j - 1. Let a(m) = -6 + 0*m - 2*m**2 - 4*m**2 + 3*m. Let c(n) = g*a(n) - 10*y(n). Factor c(d).
-2*(d + 1)**2
Determine i so that 8/9 + 0*i - 10/3*i**2 - 10/9*i**3 + 10/3*i**4 + 2*i**5 = 0.
-1, 2/3
Suppose -b + 10 = -0*t + 3*t, 14 = -3*t + 5*b. Let f be t*2/(-4) + 2. Factor -f - g**2 - 2*g**2 + 0*g + 4 - 3*g**3 + 3*g.
-3*(g - 1)*(g + 1)**2
Let h be 2/5 - (-3644)/4530. Let c = h - 2/453. Factor 2/5 + c*g + 4/5*g**2.
2*(g + 1)*(2*g + 1)/5
Let a(g) be the third derivative of -g**5/60 - g**4/6 + 5*g**3/6 - 10*g**2. Factor a(z).
-(z - 1)*(z + 5)
Solve 0*z**5 + 2 + 6*z**4 - 2 + 3*z - 6*z**2 - 3*z**5 = 0.
-1, 0, 1
Suppose 45*w - 13 + 140*w**2 - 20*w**2 - 13 + 80*w**3 + 31 = 0. Calculate w.
-1, -1/4
Let v = -1 - -1. Factor -2*y + 0*y**2 - 1 - 2*y**2 + y**2 + v.
-(y + 1)**2
Factor -2/5 - 3/5*k**2 - k + 1/5*k**3 + 1/5*k**4.
(k - 2)*(k + 1)**3/5
Let t be (-15)/6 + 3 - 7/(-2). Let p(s) be the first derivative of 1 + 0*s - s**2 + 1/4*s**t - 1/3*s**3. Find q, given that p(q) = 0.
-1, 0, 2
Let b(o) be the third derivative of o**7/42 + 5*o**6/24 + o**5/4 - 25*o**4/24 - 10*o**3/3 - 8*o**2. Solve b(u) = 0 for u.
-4, -1, 1
Determine b so that 3*b**2 + 20*b**3 + 14*b - 4*b + 10*b**4 - 5*b**4 + 22*b**2 = 0.
-2, -1, 0
Let j(v) = -2*v + 4. Let g be j(-5). Let m(n) = -n**5 - 2*n**3 - 3*n - 3. Let z(k) = 2*k**5 + 5*k**3 + 7*k + 7. Let a(u) = g*m(u) + 6*z(u). Factor a(i).
-2*i**3*(i - 1)*(i + 1)
Let c = -24 + 24. Let f(o) be the third derivative of 1/45*o**5 - 3*o**2 - 1/36*o**4 + c + 1/504*o**8 + 0*o**6 + 0*o**3 - 2/315*o**7 + 0*o. Factor f(l).
2*l*(l - 1)**3*(l + 1)/3
Let h(g) be the third derivative of 0*g**3 + 0 + 1/60*g**6 + 1/30*g**5 - 1/12*g**4 + 0*g + 2*g**2 - 1/105*g**7. Factor h(o).
-2*o*(o - 1)**2*(o + 1)
Let k(r) = 5*r**2 - 5. Let m(n) = -n**2 + 1. Let q(p) = -k(p) - 3*m(p). Let q(i) = 0. What is i?
-1, 1
Let x(v) be the first derivative of 3*v**4/4 + v**3 - 3*v**2/2 - 3*v + 3. Factor x(a).
3*(a - 1)*(a + 1)**2
Let u be (-18)/10*(-60)/9. Let j(k) = k**2 - 12*k + 6. Let t be j(u). Factor 4*h + t + 2/3*h**2.
2*(h + 3)**2/3
Let h(x) be the first derivative of -x**2 + 0*x**5 + x**4 - 2 + 0*x**3 + 0*x - 1/3*x**6. Determine k, given that h(k) = 0.
-1, 0, 1
Suppose g = 3*g. Let j(m) be the third derivative of g + 0*m**3 + 1/18*m**4 + 0*m - 2*m**2 + 1/360*m**6 + 1/45*m**5. Factor j(x).
x*(x + 2)**2/3
Suppose -4*x + 5*r = -40, 4*r + r = 2*x - 30. Let a be (1/3)/((-7)/(-63)). Find z such that -3*z**3 - 1 + 4*z**2 - a + x*z**3 - 2*z = 0.
-2, -1, 1
Suppose -12 = 2*v - 6*v. Let g = -21 - -23. Factor 2*b**2 - g*b - 2/3*b**v + 2/3.
-2*(b - 1)**3/3
Let k(m) be the third derivative of -16*m**6/195 - 8*m**5/65 - m**4/13 - m**3/39 - 9*m**2. Determine g so that k(g) = 0.
-1/4
Let b(g) be the second derivative of -2*g + 1/36*g**4 + 1/18*g**3 + 0 + 0*g**2. Factor b(n).
n*(n + 1)/3
Let b(m) be the third derivative of -m**5/210 - m**4/28 + 11*m**2. Determine w, given that b(w) = 0.
-3, 0
Let d = 85 + -85. Let f(n) be the second derivative of 1/3*n**4 + d*n**2 + 1/60*n**6 - 1/8*n**5 - 1/3*n**3 + 0 + 2*n. Factor f(l).
l*(l - 2)**2*(l - 1)/2
Let o(q) be the first derivative of -2*q**3/27 - 4*q**2/9 + 8. Determine w so that o(w) = 0.
-4, 0
Let p = 4 + 0. Suppose p*s - 2 = 14. Factor -1/2*i**3 + 1/4*i + 1/4 + 1/4*i**5 - 1/2*i**2 + 1/4*i**s.
(i - 1)**2*(i + 1)**3/4
Let x(b) be the third derivative of 0*b + 4/105*b**5 + 4/21*b**3 + 1/210*b**6 + 6*b**2 + 0 + 5/42*b**4. Suppose x(i) = 0. Calculate i.
-2, -1
Let n = -30 - -151/5. Solve 0 - n*u**2 + 0*u = 0 for u.
0
Let o = -7 - -7. Factor -b + o*b + 2*b - 3*b - 2*b**2.
-2*b*(b + 1)
Factor -1/11*p**3 + 1/11 - 3/11*p + 3/11*p**2.
-(p - 1)**3/11
Let v(l) = l - 1. Let q(j) = -j**2 - 2*j + 7. Let z be 5/3 - 6/9. Let i(y) = z*q(y) + 4*v(y). Factor i(h).
-(h - 3)*(h + 1)
Factor 19*v**5 + 40*v**2 - 12*v**5 - 12*v**5 + 30*v**3 + 15*v.
-5*v*(v - 3)*(v + 1)**3
Suppose -19 = 2*z - t, 0 = z + 2*t - 3. Let q be ((-1)/1)/(z/14). Let 0 + 1/2*f**q - 1/2*f = 0. What is f?
0, 1
Find t, given that -10*t + t**3 + 8*t**3 - 5*t**4 + 4*t**3 + 5 - 3*t**3 = 0.
-1, 1
Let z be ((-6)/45)/(32/876). Let g = 22/5 + z. Solve 1/2*o**4 + 1/4 - 1/4*o**3 + 1/4*o - g*o**2 = 0.
-1, -1/2, 1
Suppose -m = -0*m - 3. Let u(q) be the first derivative of 6/5*q**5 - 5/2*q**4 + 2/3*q**m - 1 + q**2 + 0*q. Solve u(r) = 0.
-1/3, 0, 1
Let i = -10 - -7. Let s be 3*(9/i - -4). Factor 2*b + 0*b - 2*b**2 + 7 - s.
-2*(b - 2)*(b + 1)
Determine f so that -10*f**2 + 10*f**5 + 12*f**5 - 27*f**5 + 5*f + 10*f**4 = 0.
-1, 0, 1
Let g(w) = w - 7 - 7*w + 4*w. Let m be g(-5). Factor -1/3*y + 0 + 2/3*y**m + 0*y**4 + 0*y**2 - 1/3*y**5.
-y*(y - 1)**2*(y + 1)**2/3
Let q(u) be the second derivative of u**4/48 - u**3/24 - 2*u. Factor q(k).
k*(k - 1)/4
Let h(q) be the second derivative of 5*q**4/12 - 5*q**2/2 + 17*q. Factor h(i).
5*(i - 1)*(i + 1)
Factor 36*j**5 - 160*j**3 + 16 + 204*j**2 - 44*j**4 - 79*j - 33*j + 60*j**3.
4*(j - 1)**3*(j + 2)*(9*j - 2)
Let c(z) be the third derivative of -z**5/150 - z**4/60 - 29*z**2. Determine n, given that c(n) = 0.
-1, 0
Let t be (-122)/(-30) + (4 - 8). Let s(p) be the second derivative of 1/3*p**2 + 1/45*p**6 - 1/9*p**4 + 1/9*p**3 + 3*p + 0 - t*p**5 + 1/63*p**7. Factor s(i).
2*(i - 1)**2*(i + 1)**3/3
Let l be (-20)/(-24)*((-20)/(-25) + 0). Suppose 4/3*a**2 + 2/3*a + 2/3*a**5 - l*a**4 - 4/3*a**3 - 2/3 = 0. Calculate a.
-1, 1
Let j(h) be the first derivative of 0*h - 1 - 1/30*h**5 + 1/6*h**4 + h**2 - 1/3*h**3. Let z(w) be the second derivative of j(w). Determine b so that z(b) = 0.
1
Let c be 30/3*(-2)/(-72). Let q(p) be the second derivative of 1/9*p**3 - c*p**4 + 2/15*p**5 + 0*p**2 + 0 - p. Determine s, given that q(s) = 0.
0, 1/4, 1
Determine i so that 6/11*i + 36/11*i**2 + 18/11*i**5 - 24/11*i**3 - 12/11 - 24/11*i**4 = 0.
-1, -2/3, 1
Suppose 0 = -s + 2*s - 2. Suppose 0 = c + 2*t - 10, s*c + 10 = c + 3*t. Factor -c*y**3 + 2*y**5 + y**2 + y**2 + 0*y**2 - 2*y**4.
2*y**2*(y - 1)**2*(y + 1)
Let v(k) be the third derivative of -k**10/252000 - k**5/60 + 2*k**2. Let m(j) be the third derivative of v(j). Let m(x) = 0. What is x?
0
Let g be (2/(-1) + 3)/(-103). Let b = 108/515 + g. Factor 0*l - b + 1/5*l**2.
(l - 1)*(l + 1)/5
Let c(a) be the first derivative of 1/6*a + 0*a**4 + 1/30*a**5 + 0*a**2 + 6 - 1/9*a**3. Suppose c(o) = 0. Calculate o.
-1, 1
Let t(o) be the second derivative of -o**2 + 1/6*o**6 + 7/20*o**5 - 1/4*o**4 - 7/6*o**3 + 0 + 6*o. Factor t(b).
(b - 1)*(b + 1)**2*(5*b + 2)
Let l(v) be the third derivative of v**4/12 + v**3/3 + v**2. Let t(p) = -p**2 - 4*p - 5. Let n(z) = 5*l(z) + 2*t(z). Let n(b) = 0. What is b?
0, 1
Determine t, given that 8/11*t - 2/11*t**2 - 8/11*t**3 + 0 + 2/1