 n be ((-1)/(-3))/(3/27). Let d(c) = -c**3 + c - 2. Let w(r) = n*d(r) - 2*g(r). Solve w(x) = 0 for x.
-1, 0, 1
Let n(y) be the second derivative of y**4/4 + 7*y**3/6 + y**2 + 10*y. Factor n(r).
(r + 2)*(3*r + 1)
Suppose 5*q - f + 2*f = 19, -f = -4. Factor z**5 + z**3 - 4*z**5 + 2*z**q.
-3*z**3*(z - 1)*(z + 1)
Let n = -54 + 12. Let u be (4/(-7))/(18/n). Determine f so that u + 4/3*f + 1/3*f**2 = 0.
-2
Let j(b) = b - 1. Let q(w) = -2*w**3 - 8*w**2 - 12*w - 2. Let l(d) = 2*j(d) + q(d). Factor l(p).
-2*(p + 1)**2*(p + 2)
Let j(m) = 10*m**2 - 11*m - 14. Let k(s) = 3*s**2 - 4*s - 5. Let z(v) = 4*j(v) - 14*k(v). Factor z(c).
-2*(c - 7)*(c + 1)
Solve 10*p**2 - 1 + 2*p**3 + 2*p - 6*p**2 + 1 = 0 for p.
-1, 0
Let g(q) be the second derivative of -2*q**6/75 - 4*q**5/25 - 2*q**4/5 - 8*q**3/15 - 2*q**2/5 + 11*q. Suppose g(y) = 0. Calculate y.
-1
Factor 3/2*o**2 + 3/4*o**3 - 3/2 - 3/4*o.
3*(o - 1)*(o + 1)*(o + 2)/4
Let g = -109 + 109. Suppose 0 + 0*h**2 + g*h - 1/3*h**4 - 2/3*h**3 = 0. What is h?
-2, 0
Let a(g) be the third derivative of g**5/15 - g**4/2 - 8*g**3/3 - 9*g**2. Find u, given that a(u) = 0.
-1, 4
Let m = 6 + -3. What is n in -2 + 2*n + 2*n**4 - 6*n - 4*n**m + 8*n**3 = 0?
-1, 1
Let a(q) be the third derivative of q**4/12 - q**3/3 - 2*q**2. Let s be a(4). Factor -2*l**5 + s*l - 8*l + 7*l**3 - 3*l**3.
-2*l*(l - 1)**2*(l + 1)**2
Factor 2*r**2 + r + 4*r**4 + 10*r**2 + 3*r + 12*r**3.
4*r*(r + 1)**3
Let t be 4/(-14) + 46/14. Factor 2*f + 1 - 4*f**2 + 4*f + 3 - 6*f**t.
-2*(f - 1)*(f + 1)*(3*f + 2)
Let x(a) = -a**3 - 3*a**2 - 4*a + 6. Let s(h) = 4*h**3 + 10*h**2 + 12*h - 19. Let f(m) = -4*s(m) - 14*x(m). Factor f(p).
-2*(p - 2)*(p - 1)*(p + 2)
Let b = -29 + 47. Factor 4*y**2 + b*y + 15 - 7 - 6*y.
4*(y + 1)*(y + 2)
Let r(o) be the first derivative of o**5/20 - o**4/4 - 2*o**2 + 2. Let k(h) be the second derivative of r(h). Determine u, given that k(u) = 0.
0, 2
Let i = 5711/63 + -812/9. Determine c, given that -i*c + 6/7*c**3 + 0*c**4 + 0 - 3/7*c**5 + 0*c**2 = 0.
-1, 0, 1
Solve 2*l + 3*l**4 - 12*l**2 - 7*l**4 + 14*l**3 + 2*l - 2*l**2 = 0.
0, 1/2, 1, 2
Let o(u) be the second derivative of 0 + 3*u - 2/3*u**3 + 0*u**2 + 1/3*u**4. Suppose o(d) = 0. What is d?
0, 1
Let j(i) = -i**3 + 6*i**2 + i - 4. Let r be j(6). Factor r*p**4 - 2*p**2 + 3*p**3 - 6*p**3 - p + 4*p**3.
p*(p - 1)*(p + 1)*(2*p + 1)
Suppose -4*q + 2*q = -8. Let d = q + 0. Factor 0 + s**3 + s**2 + 1/3*s + 1/3*s**d.
s*(s + 1)**3/3
Factor -9*y - 7 + 1 + 4*y - y**2.
-(y + 2)*(y + 3)
Let q(n) be the third derivative of -n**6/660 - n**5/66 - 2*n**4/33 - 4*n**3/33 + 8*n**2. Find z such that q(z) = 0.
-2, -1
Let s = 19 - 24. Let k be 646/595 - (-4)/s. Solve -k*l**2 + 0 + 2/7*l**4 + 0*l**3 + 0*l = 0 for l.
-1, 0, 1
Let y(v) be the first derivative of v**5/50 + v**4/15 - v**3/15 - 2*v**2/5 - 4*v - 6. Let k(q) be the first derivative of y(q). Factor k(x).
2*(x - 1)*(x + 1)*(x + 2)/5
Let p be 2/(-16)*-2 + (-253)/(-92). Let m(k) be the second derivative of 0 + 1/6*k**p - 2*k + 3/4*k**4 + 81/80*k**5 + 0*k**2. Factor m(f).
f*(9*f + 2)**2/4
Let t(n) be the third derivative of -n**5/270 + n**4/27 + 7*n**2. Factor t(o).
-2*o*(o - 4)/9
Let n(j) be the second derivative of -7*j - 4/105*j**6 + 0*j**4 + 1/147*j**7 + 0 + 0*j**2 + 0*j**3 + 2/35*j**5. Find l such that n(l) = 0.
0, 2
Let x(u) be the first derivative of -4/7*u**2 + 1 - 64/21*u**3 - 11/2*u**4 - 14/5*u**5 + 0*u. Factor x(h).
-2*h*(h + 1)*(7*h + 2)**2/7
Let w = -26 + 56. Factor 0 - 38*p**4 + 14*p**5 - 2*p**2 - 4*p + 0 + w*p**3.
2*p*(p - 1)**3*(7*p + 2)
Let j be (-48)/(-162)*(-4)/(48/(-9)). Factor j*x**3 - 2/9*x**5 + 0 - 2/9*x**4 + 0*x + 2/9*x**2.
-2*x**2*(x - 1)*(x + 1)**2/9
Let h(b) be the first derivative of 15/4*b**4 + 3/5*b**5 + 2 + 9/2*b**2 + 7*b**3 + 0*b. Solve h(q) = 0 for q.
-3, -1, 0
Suppose -3/7*z - 6/7*z**4 + 0 + 3/7*z**5 + 0*z**3 + 6/7*z**2 = 0. What is z?
-1, 0, 1
Let 194/9*x**4 - 92/3*x**3 - 16/9*x - 14/3*x**5 + 0 + 40/3*x**2 = 0. What is x?
0, 2/7, 1/3, 2
Let p(m) be the third derivative of m**8/504 - m**7/63 + 2*m**6/45 - 2*m**5/45 + 5*m**2. Suppose p(l) = 0. Calculate l.
0, 1, 2
Let k(v) be the third derivative of -1/12*v**4 + 0*v + 1/315*v**7 - 2/9*v**3 + v**2 + 1/90*v**5 + 0 + 1/60*v**6. Suppose k(j) = 0. Calculate j.
-2, -1, 1
Let p = -242 + 245. Factor 2/9*j**4 + 2/9 - 2/9*j - 4/9*j**2 - 2/9*j**5 + 4/9*j**p.
-2*(j - 1)**3*(j + 1)**2/9
Let w(x) be the first derivative of -2*x**6/21 + 24*x**5/35 - 11*x**4/7 + 8*x**3/21 + 24*x**2/7 - 32*x/7 - 6. Solve w(d) = 0.
-1, 1, 2
Let o = 0 - -2. Suppose -5*b = -4*r - 12, o*b + r - 10 = -0*b. Factor 4*h**b + 4*h**2 + 2*h**4 - h - 6*h**3 - 2*h**4 - h**5.
-h*(h - 1)**4
Let j(w) be the second derivative of -5*w + w**3 - 1/4*w**4 + 0 - 3/2*w**2. Determine h so that j(h) = 0.
1
Let c(f) be the first derivative of -f**2 + 1/2*f**4 + 3 + 2/9*f**3 - 2/3*f. Find o such that c(o) = 0.
-1, -1/3, 1
Let l(o) = o + 6. Let g be l(-6). Let b = g - -3. What is j in 0*j**2 - 2 + 6 - j**2 - b = 0?
-1, 1
Let c(k) = -2*k**2 + 2*k + 1. Let b(h) = -2*h**2 + 2*h + 2. Let p(v) = 3*b(v) - 2*c(v). Solve p(s) = 0 for s.
-1, 2
Let j = 89 + -83. Let o(w) be the second derivative of 2*w**2 + 1/2*w**5 + 1/15*w**j + 4*w + 3/2*w**4 + 7/3*w**3 + 0. Find f, given that o(f) = 0.
-2, -1
Let n(a) be the second derivative of a**9/224 + 3*a**8/560 - 11*a**7/560 - a**6/60 + a**5/20 - a**3 + a. Let b(w) be the second derivative of n(w). Factor b(c).
3*c*(c + 1)**2*(3*c - 2)**2/2
Suppose 0 = 4*c + 2*q - 8, 0 = -5*q - 20. Factor t - 5*t**c + t**4 - t**5 - t - 5*t**3 - 2*t**2.
-t**2*(t + 1)**2*(t + 2)
Factor -c + 0 + 1/2*c**2.
c*(c - 2)/2
Let s(a) = a**5 - a**4 + a**3 + a**2 - a. Let r(h) = -9*h**4 + 15*h**3 + 9*h**2 - 9*h. Let d(q) = -r(q) + 6*s(q). Determine g, given that d(g) = 0.
-1, 0, 1/2, 1
Let a(y) = 2*y**5 - 4*y**4 + 13*y**2 - 11*y. Let b(d) = -5*d + d**5 + 5*d**4 + 4*d**2 - 7*d**4 + 2*d**2. Let j(n) = 4*a(n) - 9*b(n). Factor j(i).
-i*(i - 1)**3*(i + 1)
Let t(o) be the third derivative of o**8/10080 - o**7/1260 - o**5/30 - 3*o**2. Let d(k) be the third derivative of t(k). Determine u, given that d(u) = 0.
0, 2
Let f(k) be the first derivative of -1/3*k**2 + 2*k - 1 + 0*k**3 + 1/18*k**4. Let y(q) be the first derivative of f(q). Factor y(j).
2*(j - 1)*(j + 1)/3
Let c(m) = m**2 + 9*m + 10. Let b be c(-8). Suppose b = -5*t + 6*t. Determine q so that 0 + t*q**2 - 4/3*q = 0.
0, 2/3
Let o(f) be the third derivative of f**6/30 - 2*f**5/15 - f**4/6 + 4*f**3/3 - 21*f**2 - f. Let o(a) = 0. What is a?
-1, 1, 2
Let k(l) = l**2 - 10*l + 11. Let r be k(8). Let n be -1*0/(2 + r). Solve n - 3/5*g**2 - 3/5*g = 0 for g.
-1, 0
Let b(q) be the third derivative of q**6/40 + q**5/10 - q**4/2 - 4*q**3 - 14*q**2. Factor b(t).
3*(t - 2)*(t + 2)**2
Let b(f) be the second derivative of f**5/20 + f**4/3 + f**3/2 - 6*f. Factor b(r).
r*(r + 1)*(r + 3)
Let a(b) be the first derivative of -b**5/180 - b**4/36 - b**2/2 - 2. Let v(p) be the second derivative of a(p). Factor v(z).
-z*(z + 2)/3
Factor 0 - 3/5*i**3 + 3/5*i**2 + 3/5*i - 3/5*i**4.
-3*i*(i - 1)*(i + 1)**2/5
Let t(f) be the second derivative of -1/2*f**2 + 0 + 1/80*f**5 + 2*f - 1/24*f**3 + 1/48*f**4. Let m(a) be the first derivative of t(a). Solve m(k) = 0 for k.
-1, 1/3
Let s be ((-2)/4)/(5/(-20)). Let n(b) be the first derivative of 8/3*b - 8/3*b**s - 1/6*b**4 - 1 + 10/9*b**3. Factor n(i).
-2*(i - 2)**2*(i - 1)/3
Let o(w) = -4*w**2 - 8*w + 7. Let v(b) be the second derivative of 0 + 2/3*b**3 - 3/2*b**2 + 1/6*b**4 - 2*b. Let d(y) = -3*o(y) - 7*v(y). Factor d(t).
-2*t*(t + 2)
Let g be (3/(-54))/(1/(-4)). What is w in -2/9*w + 0 + 4/9*w**2 - g*w**3 = 0?
0, 1
Let i be 6/(-30) - (-18)/(-10). Let x be 1 - (2 - i/(-2)). What is g in x + 0*g - 2/3*g**2 - 4/3*g**4 - 2*g**3 = 0?
-1, -1/2, 0
Factor 1/2*h**2 + 0 - h**3 - 1/2*h**4 + h.
-h*(h - 1)*(h + 1)*(h + 2)/2
Suppose -2*a - l = 19, 4*a - a + 2*l = -29. Let d = 13 + a. Factor -4*s**5 + 0*s**5 + 5*s**5 - s**d + 0*s**4.
s**4*(s - 1)
Let h = -36 + 39. Determine n, given that 1/4*n**4 - 1/4*n**h + 5/4*n - 1/2 - 3/4*n**2 = 0.
-2, 1
Let q(z) be the first derivative of z**5/180 - z**4/36 + z**3/18 + 3*z**2/2 - 4. Let u(p) be the second derivative of q(p). Determine l so that u(l) = 0.
1
Let g(f) be the third derivative of -2*f**2 + 1/3*f**3 + 0 + 0*f**5 - 1/360*f**6 + 0*f*