 + 2*l. Let n(o) be the second derivative of h(o). Factor n(z).
2*(z - 2)*(z - 1)**2/11
Find y, given that -6*y - 4 + 0*y**4 + 3*y**4 + 6*y**3 - 2 + 3 = 0.
-1, 1
Let f(b) be the second derivative of b**6/75 - 9*b**5/50 + b**4 - 44*b**3/15 + 24*b**2/5 - 20*b. Let f(n) = 0. Calculate n.
2, 3
Suppose 0 = -5*m + 5*i + 25, -4*m + 18 + 7 = -5*i. Factor m + 0*q - 3*q**3 + 3/4*q**4 + 3*q**2.
3*q**2*(q - 2)**2/4
Let b(q) = q**3 - 7*q**2 - q + 9. Let d be b(7). Solve -3*t**2 - 3*t**d + 3*t + 4*t**3 - t**3 = 0 for t.
0, 1
Let i(k) be the first derivative of -k**4/20 - 4*k**3/15 - k**2/2 - 2*k/5 - 12. Factor i(r).
-(r + 1)**2*(r + 2)/5
Let w(f) be the second derivative of f**5/120 + f**4/36 - f**3/36 - f**2/6 + 5*f. Determine x, given that w(x) = 0.
-2, -1, 1
Suppose 5*k - 5*d + 1290 = 0, -4*k - 337 = -5*d + 700. Let x = -1767/7 - k. Suppose x*u + 8/7*u**3 - 2/7*u**4 - 10/7*u**2 + 0 = 0. Calculate u.
0, 1, 2
Let u be (520/56 - 9) + (-4)/(-35). Let f(b) be the first derivative of 0*b + 7/6*b**4 + u*b**5 + 10/9*b**3 + 1/3*b**2 - 1. Determine m, given that f(m) = 0.
-1, -1/3, 0
Let k(o) be the second derivative of o**6/10 - 3*o**4/4 + o**3 + 9*o. Solve k(c) = 0 for c.
-2, 0, 1
Factor 2/11*c**2 + 2/11*c**3 + 0 + 0*c.
2*c**2*(c + 1)/11
Let n = -31 - -63/2. Let a(v) be the first derivative of n*v**2 - 1/3*v**3 + 0*v + 1. Factor a(b).
-b*(b - 1)
Let l(w) be the second derivative of -w**8/448 + w**7/280 + w**6/120 - w**4/12 + 4*w. Let u(m) be the third derivative of l(m). Factor u(g).
-3*g*(g - 1)*(5*g + 2)
Factor 0 + 0*f + 2/3*f**2.
2*f**2/3
Let q(y) be the first derivative of y**6/42 - 2*y**5/35 - 3*y**4/28 + 8*y**3/21 - 2*y**2/7 - 7. Factor q(o).
o*(o - 2)*(o - 1)**2*(o + 2)/7
Let d(b) be the first derivative of -b**8/168 + b**6/60 + b**2/2 - 3. Let g(p) be the second derivative of d(p). Factor g(i).
-2*i**3*(i - 1)*(i + 1)
Suppose -3*l + 3*y = 0, 3*y - 4 = -l + 4. Let b be (9 - 2)*2/l. Find n, given that b*n**2 - n**3 - 7*n**2 + n = 0.
-1, 0, 1
Let v(n) be the third derivative of n**8/5040 - n**7/2520 - 2*n**3/3 - 4*n**2. Let c(g) be the first derivative of v(g). Find t such that c(t) = 0.
0, 1
Let g(j) be the third derivative of j**6/1440 - j**5/480 - j**4/48 + j**3/2 - 4*j**2. Let o(f) be the first derivative of g(f). Factor o(z).
(z - 2)*(z + 1)/4
Let j be 4/2 + 0 - -1. Suppose -j*m**2 + 3*m + m**2 - 2*m - m**3 + 2*m**3 = 0. Calculate m.
0, 1
Suppose 4*j = -5*m - 12, 2*j - 3*m - 12 = 4. Factor 0*q + 2/3*q**j - 8/3.
2*(q - 2)*(q + 2)/3
Suppose 0*p = 2*p - r - 11, 2*r - 3 = -p. Let v(c) be the first derivative of 0*c + 1/4*c**4 - 1/5*c**p + 0*c**2 + 0*c**3 - 1. Factor v(g).
-g**3*(g - 1)
Let g(b) = -3*b**4 + 11*b**3 - 14*b**2 + 5*b. Let o(m) = -m**3 + m**2 - m. Let x = -11 + 12. Let u(v) = x*o(v) - g(v). Determine h, given that u(h) = 0.
0, 1, 2
Let j = 7 - 1. Find h such that h**4 + 2*h**4 - j*h**3 + 0*h**3 + 4*h**2 - h**4 = 0.
0, 1, 2
Let z(t) = -t**2 - 8*t - 9. Let s be z(-6). Let h(x) be the first derivative of -1 - 20/3*x**s - 2*x - 1/3*x**6 - 5*x**2 - 5*x**4 - 2*x**5. Factor h(m).
-2*(m + 1)**5
Let a be (-3 - (-325)/35) + (-2)/7. Determine u so that 8/3 - 40/3*u + a*u**4 + 74/3*u**2 - 20*u**3 = 0.
2/3, 1
Let q(m) be the first derivative of -13/5*m**3 - 3/4*m**4 + 1 - 6/5*m**2 + 12/5*m. Find x such that q(x) = 0.
-2, -1, 2/5
What is j in -5*j + 4 - 15*j**2 - 1 - 9*j**3 + 9*j - 7*j = 0?
-1, 1/3
Let m(w) = 3*w**3 + 9*w**2 + 25*w + 29. Let s(b) = -7*b**3 - 18*b**2 - 49*b - 59. Let p(r) = 5*m(r) + 2*s(r). Factor p(q).
(q + 3)**3
Let g be 12/(-78) - (123/(-39) + -2). Let r(p) be the first derivative of -2*p + 1/4*p**4 - 1/2*p**2 + p**3 - 1/5*p**g + 2. Solve r(b) = 0.
-1, 1, 2
Let s(c) be the third derivative of 0*c + 9*c**2 + 0*c**3 + 1/48*c**4 - 1/840*c**7 + 0 + 1/240*c**5 - 1/240*c**6. Factor s(h).
-h*(h - 1)*(h + 1)*(h + 2)/4
Let n = 0 + 5. Let u be n + 3 + -6 + 1. Factor -3/2*t**u + 0 + 0*t + 3*t**2.
-3*t**2*(t - 2)/2
Suppose 10 + 6 = 4*u. Let b(k) = k**2 - 4*k + 3. Let w be b(4). Factor -4*a**5 - 8*a**w + 3*a**3 - 8*a**4 + 0*a**u - a**2.
-a**2*(a + 1)*(2*a + 1)**2
Solve 3/4*n**3 + 0*n + 0 + 3/4*n**2 = 0.
-1, 0
Let r(v) be the first derivative of -v**3/3 + v + 2. Let n be -1*(-1 + 1 - 1). Let b(f) = -3*f**2 + 2*f + 5. Let z(k) = n*b(k) - r(k). Solve z(x) = 0.
-1, 2
Let v(o) be the third derivative of o**7/105 + 11*o**6/60 + o**5/3 - 52*o**2. Factor v(t).
2*t**2*(t + 1)*(t + 10)
Let l(t) = 4*t**2 + 5*t. Let y(j) = -2*j**2 - 2*j. Let x(v) = -2*l(v) - 5*y(v). Factor x(a).
2*a**2
Suppose 3*a - 8 - 5 = -d, 3*d = 4*a - 13. Let t = -250/3 + 84. Factor 4/3*l**3 - 2/3*l**a - 2/3 + 4/3*l**2 - 2/3*l - t*l**5.
-2*(l - 1)**2*(l + 1)**3/3
Let a = 504 + -501. Suppose 2*g + 2/3*g**2 + 2/3*g**4 - 2*g**a - 4/3 = 0. Calculate g.
-1, 1, 2
Let q be (-1)/15*(-55)/22. Let p(h) be the second derivative of -1/42*h**7 - 1/2*h**2 - 4*h - 1/30*h**6 + 0 + 1/10*h**5 + 1/6*h**4 - q*h**3. Factor p(j).
-(j - 1)**2*(j + 1)**3
Let m(v) = 2*v**2 - v - 4. Let n be m(2). Let 0*h**n + 1/5*h**5 - 1/5*h**3 + 0*h**4 + 0*h + 0 = 0. What is h?
-1, 0, 1
Factor 0 + 0*a - 6/11*a**3 + 6/11*a**4 - 2/11*a**5 + 2/11*a**2.
-2*a**2*(a - 1)**3/11
Suppose -2*d - 4*d**4 + 4*d**3 - 6*d + 4*d**2 - 5*d + 9*d = 0. Calculate d.
-1, 0, 1
Let d be -2*(1 - (2 + 0)). Suppose d*p + f = -1, 3*f + 3 = 5*p - 0. Factor 0*q - q**2 - 6*q**3 - 21/4*q**4 + 49/4*q**5 + p.
q**2*(q - 1)*(7*q + 2)**2/4
Let k(s) = -2*s**4 - 2*s**2 + 4. Let z(t) = -5*t**4 - 7*t**2 + 12. Let c(l) = -17*k(l) + 6*z(l). Find n such that c(n) = 0.
-1, 1
What is d in -2/5*d**2 + 0 + 2/5*d = 0?
0, 1
What is n in 10*n**2 + 20*n**3 + 5*n**5 + 10 + 9*n - 20*n**4 + 7*n - 41*n = 0?
-1, 1, 2
Let c(h) be the third derivative of -h**6/144 - 2*h**5/3 - 80*h**4/3 - 5120*h**3/9 + h**2 + 21. Factor c(o).
-5*(o + 16)**3/6
Let y be ((-80)/(-25) - 3)*(-20)/(-6). Factor 1/3*k + 1 - y*k**2.
-(k + 1)*(2*k - 3)/3
Let c(i) be the third derivative of -i**8/1680 + i**7/1050 + i**6/300 - i**5/150 - i**4/120 + i**3/30 + 11*i**2. Let c(g) = 0. What is g?
-1, 1
Let x = 10 + -10. Let y be (-7)/(-5) + 3 - x. Let 0 - 2*r**2 + 58/5*r**4 - y*r**3 - 6*r**5 + 4/5*r = 0. What is r?
-2/5, 0, 1/3, 1
Let c(w) = -w**3 - 7*w**2 - 7*w - 5. Let y be c(-6). Let o = y + -1. Determine b so that -4/9*b**3 + 0*b**2 + 0*b - 2/9*b**4 + 10/3*b**5 + o = 0.
-1/3, 0, 2/5
Let c(u) = -7*u**4 + 4*u**3 + 3*u**2 + 4*u. Let x(j) = -57*j**4 + 33*j**3 + 24*j**2 + 33*j. Let g(f) = 33*c(f) - 4*x(f). Find o such that g(o) = 0.
-1, 0, 1
Let c(w) be the first derivative of 3*w**4/8 - 5*w**3/2 + 6*w**2 - 6*w - 18. Determine g so that c(g) = 0.
1, 2
Let b be -2 - 7/(-2) - 7/(-14). Suppose 0*j + 3*o - 3 = 4*j, 0 = -o + 5. Factor 0*n**5 + 3*n**j + 2*n**4 + n**5 - b*n**3.
n**3*(n + 1)**2
Find x such that 0 - 3/5*x**3 + 6/5*x + 3/5*x**2 = 0.
-1, 0, 2
Let z = -45 - -48. Let h(i) be the first derivative of -z + 10/3*i**3 + 0*i - 2*i**2. Factor h(q).
2*q*(5*q - 2)
Let o(c) be the first derivative of c**6/15 - 12*c**5/25 + 6*c**4/5 - 4*c**3/3 + 3*c**2/5 + 18. Factor o(b).
2*b*(b - 3)*(b - 1)**3/5
Suppose 2*r + 0 = 8. Let c(b) = -2*b**2 + b**2 + 0*b**2 - 3*b. Let z(s) = 5*s**2 + 13*s - 1. Let t(g) = r*z(g) + 18*c(g). Factor t(y).
2*(y - 2)*(y + 1)
Factor 4*n - 27*n + 39*n + 16 + 4*n**4 - 8*n**3 - 12*n**2.
4*(n - 2)**2*(n + 1)**2
Factor 0*x + 8/5 - 2/5*x**2.
-2*(x - 2)*(x + 2)/5
Let b(f) be the third derivative of -f**9/37800 + f**7/3150 - f**5/300 - f**4/8 - 3*f**2. Let h(a) be the second derivative of b(a). Factor h(c).
-2*(c - 1)**2*(c + 1)**2/5
Suppose -15 = -4*s - s. Let x(z) be the first derivative of 1/15*z**s + 1/5*z**2 + 1/5*z + 3. What is w in x(w) = 0?
-1
Let h(o) be the third derivative of o**8/112 - o**7/21 + o**6/10 - o**5/10 + o**4/24 + 18*o**2. Factor h(x).
x*(x - 1)**3*(3*x - 1)
Let w = -4/39 + 10/13. Factor -10/3*g**3 - 2*g**4 + 2/3*g + 0 - w*g**2.
-2*g*(g + 1)**2*(3*g - 1)/3
Let p be 4/18 - 312/(-54). Let v = p - 4. Factor -1/2 + 1/2*x**4 + 0*x**v - x**3 + x.
(x - 1)**3*(x + 1)/2
Suppose 10 = 4*f - 2*v, -f - 3*v - 13 = -6*f. Solve 1/6*q + 0 + 1/6*q**f = 0 for q.
-1, 0
Let s be (0/2)/(-9 + 10). Factor -2/9*p**2 + s*p + 2/9.
-2*(p - 1)*(p + 1)/9
Suppose 5*n - 5*r = 3*n + 32, n - 22 = 4*r. Factor -x**4 + 22*x**2 - n*x**3 - 4*x + x**3 - 30*x**2.
-x*(x + 1)*(x + 2)**2
Let m be 2/((-8)/(-4) + -1). Factor 2/9*q**3 