8*h**3/5 + 27*h**2/10 - 23. Factor t(y).
-3*y*(y - 1)*(y + 9)/5
Let o(w) = w + 10. Let m be o(-7). What is z in -3*z**3 - 2*z + 4*z + z**m = 0?
-1, 0, 1
Factor -8/7*l**3 + 4/7*l**2 + 8/7*l - 6/7 + 2/7*l**4.
2*(l - 3)*(l - 1)**2*(l + 1)/7
Let x = -21 + 65/3. Let s(b) be the first derivative of -b**2 + 2*b - 1 - x*b**3 + 1/2*b**4. Factor s(i).
2*(i - 1)**2*(i + 1)
Let s(k) = 2*k**2 - 10*k - 4. Let b(w) = 3*w**2 - 11*w - 5. Let l(u) = -4*b(u) + 5*s(u). Factor l(z).
-2*z*(z + 3)
Let r(u) = u**2 + 2*u + 1. Let j(b) = -6*b**2 - 10*b - 6. Let s(x) = -2*j(x) - 11*r(x). Let m be s(1). Factor 2/9*g + 0 - 2/9*g**3 + m*g**2.
-2*g*(g - 1)*(g + 1)/9
Suppose c + 7 = 5*n + 2, -4*c + 5*n = 5. Let v(w) be the third derivative of 7/120*w**6 + 0*w + c - 1/3*w**3 + 1/30*w**5 - 3*w**2 - 7/24*w**4. Factor v(y).
(y - 1)*(y + 1)*(7*y + 2)
Factor -2/5*d**3 - 2/5*d**2 + 0*d + 0.
-2*d**2*(d + 1)/5
Let s be ((-2)/6)/(38/(-57)). What is o in 1/2*o**2 + 1/4 - s*o**3 - 3/4*o**4 + 3/4*o - 1/4*o**5 = 0?
-1, 1
Let f(m) be the second derivative of m**4/54 + 10*m**3/27 + m**2 + 25*m. Factor f(j).
2*(j + 1)*(j + 9)/9
Let u = -10 + 14. Factor -44*q**4 - q**2 + 43*q**4 - 2*q**3 + u*q**3.
-q**2*(q - 1)**2
Let k(f) = -6*f**3 - 18*f**2 - 18*f + 1. Let q(w) = 2*w**3 + 6*w**2 + 6*w. Let g = -3 - -1. Let d(l) = g*k(l) - 7*q(l). Find n such that d(n) = 0.
-1
Let l(u) = 5*u**5 + 9*u**4 + 7*u**3 - 7*u**2 - 9*u - 2. Let j(v) = 4*v**5 + 8*v**4 + 6*v**3 - 6*v**2 - 8*v - 2. Let z(k) = 3*j(k) - 2*l(k). Factor z(w).
2*(w - 1)*(w + 1)**4
Let v(f) be the third derivative of f**6/36 - f**5/4 + 25*f**4/36 - 5*f**3/6 + f**2 - 2. Factor v(u).
5*(u - 3)*(u - 1)*(2*u - 1)/3
Let x = 3 - -1. Suppose -5*m - i + 6 = -x, 3*i + 6 = 3*m. Let -2/3 + 0*q + 2/3*q**m = 0. Calculate q.
-1, 1
Let n(l) = 4*l**3 + 6*l**2 + 8*l + 6. Suppose -3*a = 6, 3*a + 30 = 3*y - 9. Let u(v) = 21*v**3 + 29*v**2 + 39*v + 31. Let j(o) = y*n(o) - 2*u(o). Factor j(p).
2*(p + 1)**2*(p + 2)
Let q(h) be the third derivative of 1/30*h**6 + 0*h**5 + 0*h + 0*h**3 + 0 - 9*h**2 + 0*h**4. Factor q(z).
4*z**3
Let g(w) be the third derivative of w**4/8 - w**3/2 + 2*w**2. Suppose 0 = -4*v - 4. Let f(p) = -p**2 + 1. Let k(t) = v*g(t) - f(t). Factor k(o).
(o - 2)*(o - 1)
Let o be (-25)/(-10) + 1/(-2). What is h in -6*h**3 - 4*h - 12*h**2 - o*h**4 + 2*h**5 + 0*h**3 + 22*h**2 = 0?
-2, 0, 1
Let m(v) be the second derivative of 0 + 1/4*v**2 - 1/16*v**4 + 1/120*v**6 + 1/24*v**3 - 1/80*v**5 - 4*v. Solve m(u) = 0.
-1, 1, 2
Let j(y) be the first derivative of -y**6/15 + y**4/2 - 2*y**3/3 + 9*y + 4. Let k(q) be the first derivative of j(q). Factor k(m).
-2*m*(m - 1)**2*(m + 2)
Let k(a) = 0*a**2 + 1 + 1 + 14*a + 0*a**2 - a**2. Let i be k(14). Factor 0*q + 0 + 2/5*q**i + 2/5*q**4 + 4/5*q**3.
2*q**2*(q + 1)**2/5
Let y(p) be the first derivative of p**6/42 - 2*p**5/35 + p**4/28 + 2. Factor y(z).
z**3*(z - 1)**2/7
Let a(c) be the third derivative of c**5/300 + 3*c**4/40 + 7*c**3/15 - 52*c**2. Factor a(p).
(p + 2)*(p + 7)/5
Suppose -l - 6 = -15. Factor -9 - 1 - l*w**2 - w**4 - 5*w**3 - 7*w + 0 + 8.
-(w + 1)**3*(w + 2)
Let s(d) be the second derivative of -d**7/441 + d**6/105 - d**5/70 + d**4/126 + 14*d. Suppose s(t) = 0. Calculate t.
0, 1
Let x(m) = -3*m**3 + 1 - 2*m**3 + 6*m**3. Let r be (2/(-8))/(0 - 1/4). Let l(k) = 9*k**4 + 18*k**3 + 18*k**2 - 9. Let g(y) = r*l(y) + 6*x(y). Factor g(p).
3*(p + 1)**3*(3*p - 1)
Let l(j) = 4*j**2 - j - 1. Let t be l(-1). Let g be ((-21)/(-7))/(6/t). Factor -g*b**3 - 1/2*b + 0 + 5/2*b**2.
-b*(b - 1)*(4*b - 1)/2
Let z(p) be the first derivative of -4/21*p**3 - 4/7*p - 1/21*p**6 - 2/7*p**4 + 5/7*p**2 + 2 + 8/35*p**5. Determine x, given that z(x) = 0.
-1, 1, 2
Suppose 2*u = -0*u. Suppose -k = -u*k. Factor k - 7/3*f**2 - 2/3*f.
-f*(7*f + 2)/3
Let r be (5/(20/(-1))*2)/(-1). Factor -w - r + 7/2*w**2 - 2*w**3.
-(w - 1)**2*(4*w + 1)/2
Let s be ((-4)/14)/((-4)/56). Suppose -s*a + 2*f = -a - 12, 0 = -5*a + 5*f + 25. What is o in 6/5*o**3 + 0 + 0*o - 2*o**4 + 4/5*o**a = 0?
-2/5, 0, 1
Let i be 2/4 + (-124)/8. Let w be (-1)/3*1*i. Factor 4*s**4 + 1 + 2*s**w + 2*s**3 - 1.
2*s**3*(s + 1)**2
Let a(b) be the first derivative of -b**7/105 - 2*b**6/75 - b**5/50 + 2*b + 4. Let k(x) be the first derivative of a(x). Solve k(m) = 0 for m.
-1, 0
Let z = -2 + 4. Suppose -2*f + z*l = -2 - 4, -5*f - 4*l + 6 = 0. Let -p**2 - 4*p + 1 - f + 2*p + 0*p**2 = 0. What is p?
-1
Let g(h) be the third derivative of 0 + 1/30*h**5 + 0*h**4 + 1/60*h**6 + 6*h**2 + 0*h**3 + 0*h. Factor g(t).
2*t**2*(t + 1)
Let v(w) = 1 + w + w**2 - w. Let m be v(-3). Factor -26*d**2 + 24*d**4 + 4 + 46*d**3 + 26*d - m*d**4 + 80*d**2.
2*(d + 1)**3*(7*d + 2)
Let y(o) = 15*o**4 - 9*o**3 - 12*o**2 + 9*o + 15. Let i(x) = -8*x**4 + 5*x**3 + 6*x**2 - 5*x - 8. Let d(k) = 9*i(k) + 5*y(k). Suppose d(w) = 0. Calculate w.
-1, 1
Let i be (-345)/(-420) + 3/(-12). Suppose -2/7*o**2 - i*o - 2/7 = 0. What is o?
-1
Suppose -t + 2*o = t, 0 = 3*t - 2*o - 4. Determine k so that t - 5*k - 2*k**2 + 3*k + 0*k = 0.
-2, 1
Let c(l) = l**2 - 1. Let b(n) = 4*n**2 + 8*n + 13. Let q(z) = 2*b(z) - 6*c(z). Factor q(i).
2*(i + 4)**2
Let h be 2*(-2)/4*1. Let b(v) = -v**4 - v**3 + v**2 + 1. Let c(i) = -12*i**4 - 14*i**3 + 8*i**2 + 10. Let s(n) = h*c(n) + 10*b(n). Factor s(a).
2*a**2*(a + 1)**2
Let y(h) be the second derivative of 0*h**2 - 2*h - 1/36*h**4 + 0 + 0*h**3. Factor y(p).
-p**2/3
Let r(d) be the first derivative of -3*d**3/5 + 3*d**2/5 - d/5 + 2. Factor r(w).
-(3*w - 1)**2/5
Suppose -4*r - 4*o = -32, -5*r = 2*o + o - 32. Let i be -2 - (-5 + -1 + r). Factor 1/2*a**2 + i*a - 1/2.
(a - 1)*(a + 1)/2
Let k(u) = 7*u**2 + 10*u. Let q(b) = -6*b**2 - 9*b. Let w(h) = 3*k(h) + 4*q(h). Suppose w(v) = 0. What is v?
-2, 0
Let z(b) = 10*b**2 + 4*b - 7. Let y(i) = 3*i**2 + i - 2. Let r(j) = 2*j**3. Let d be r(1). Let g(f) = d*z(f) - 7*y(f). Factor g(m).
-m*(m - 1)
Let c(g) = -14 + 2*g**2 - 4*g**2 + 12 + 4*g. Let k(b) = -5*b**2 + 9*b - 4. Let q(n) = -9*c(n) + 4*k(n). Let q(m) = 0. What is m?
-1, 1
Factor -1/4 + 0*o**2 + 1/2*o**3 - 1/2*o + 1/4*o**4.
(o - 1)*(o + 1)**3/4
Suppose -1 = -2*v + 3. Factor -2 + 0*z + 2*z**3 + 2*z**3 + 3*z**2 - 2*z**4 - 2*z**5 - v*z + z**2.
-2*(z - 1)**2*(z + 1)**3
Let w = -28 + 30. Let b = 9/22 - -1/11. Factor 0 - m - b*m**w.
-m*(m + 2)/2
Let q(m) be the second derivative of m**6/135 - m**4/54 + 3*m. Factor q(o).
2*o**2*(o - 1)*(o + 1)/9
Suppose 4*i + 9*i**3 - 4*i - 5*i**3 + 4*i**2 = 0. Calculate i.
-1, 0
Let p(d) be the second derivative of -7/9*d**3 + 2*d + 2/3*d**2 + 11/24*d**5 - 7/60*d**6 + 0 - 7/36*d**4. Find w such that p(w) = 0.
-2/3, 2/7, 1, 2
Let t(b) = -4*b + 12. Let f(l) = l**2 - 8*l + 25. Let i(c) = -4*f(c) + 9*t(c). Solve i(q) = 0.
-2, 1
Let s be (-7 - -4) + 5 + 0. Factor 2*n + 0*n**3 + n**3 + s*n**5 - 5*n**3 + 0*n**5.
2*n*(n - 1)**2*(n + 1)**2
Let x be (0 - (1 + -1))/(-13 - -9). Let t(g) be the second derivative of x*g**3 + 4*g + 0 + 0*g**2 + 1/10*g**5 - 1/15*g**6 + 0*g**4. What is s in t(s) = 0?
0, 1
Let y be ((-1)/((-105)/(-14)))/(-1). Factor 0 - y*v**2 + 0*v.
-2*v**2/15
Let c(x) = 6*x**2 - 18*x + 4. Let z be c(3). Factor 0*t + 2/5*t**2 - 6/5*t**3 + 6/5*t**z + 0 - 2/5*t**5.
-2*t**2*(t - 1)**3/5
Let v(f) be the first derivative of -1 - 3/4*f**4 - 3*f**3 - 3*f - 9/2*f**2. Factor v(a).
-3*(a + 1)**3
Let n(x) be the first derivative of -x**2/2 + 2*x + 10. Let j be n(2). Find c, given that -1/3*c**4 - 2/3*c**3 + j*c - 1/3*c**2 + 0 = 0.
-1, 0
Let g(i) be the third derivative of i**5/180 + i**4/72 - i**3/3 + 6*i**2. What is y in g(y) = 0?
-3, 2
Factor 1/5*k**2 + 1/5*k**3 - 1/5*k - 1/5.
(k - 1)*(k + 1)**2/5
Suppose 3*w + 0*b - 33 = -b, -3*b = -2*w + 22. Let u = -7 + w. Determine j so that -u*j - 14*j - 48*j**2 - 32*j**3 - 2 + 0*j = 0.
-1, -1/4
Let t(p) be the first derivative of -3*p**4 + 0*p - 1/3*p**6 - p**2 - 8/3*p**3 - 8/5*p**5 + 1. Factor t(w).
-2*w*(w + 1)**4
Let t(q) be the third derivative of 1/105*q**7 - 2/15*q**6 - 2*q**2 + 1/42*q**8 + 1/3*q**4 + 1/3*q**3 + 0 + 0*q - 1/15*q**5. Let t(r) = 0. Calculate r.
-1, -1/4, 1
Factor -3*g**3 + 0*g**2 + 9*g**2 - g - 5*g.
-3*g*(g - 2)*(g - 1)
Let b(r) be the first derivative of r**8/5880 - r**7/1470 + r**6/1260 - r**3/3 - 4. Let n(l) be the third derivative of b(l). Factor n(p).
2*p**2*(p - 1)**2/7
Factor 0 + 0*c + 1/8*c**3 + 0*c**2 + 1/8*c**5 + 1/4*