 first derivative of 2*l**5/5 + l**4/2 - 2*l**3/3 - l**2 + 5. Factor f(a).
2*a*(a - 1)*(a + 1)**2
Let w(r) = -r + 12. Let m be 12 - (1 - -1) - 1. Let z be w(m). Determine q, given that 0 - 3/2*q**z - 3*q**2 - 3/2*q = 0.
-1, 0
Solve 1/2*l**4 - 1 + 3/2*l**3 - 3/2*l + 1/2*l**2 = 0 for l.
-2, -1, 1
Let b be ((-4)/(-6)*(3 - 9))/(-2). Factor -2*y**3 + 5/2*y**b - 1 + 7/2*y.
-(y - 2)*(y + 1)*(4*y - 1)/2
Determine c so that 4*c**4 - 49*c - 16*c**3 + 2 + 2 + 33*c + 24*c**2 = 0.
1
Let a(j) be the first derivative of -2*j**4/21 - 5*j**3/21 - j**2/7 + j + 2. Let v(h) be the first derivative of a(h). Solve v(b) = 0.
-1, -1/4
Let n(q) be the first derivative of 3*q**5/20 + 3*q**4/8 - 3*q**3/4 - 3*q**2/2 + 3*q - 12. Find x, given that n(x) = 0.
-2, 1
Suppose 5*o = 3*m - 17, 7*m = 9*m + 2*o - 6. Solve -2/11 + 4/11*w + 2/11*w**m - 4/11*w**3 + 0*w**2 = 0 for w.
-1, 1
Let b(x) be the second derivative of -x**4/2 + 13*x**3/2 + 21*x**2/2 + 29*x. Solve b(p) = 0 for p.
-1/2, 7
Let y(h) be the second derivative of h**4/36 - 10*h. Factor y(r).
r**2/3
Let z = -5 + 13. Let s be ((-12)/(z/2))/(-9). Determine i, given that 2/3*i - 1/3 - s*i**2 = 0.
1
Let g(l) be the first derivative of 3/5*l + 1/5*l**3 - 3/5*l**2 + 9. Factor g(q).
3*(q - 1)**2/5
Let z = -151 + 1361/9. Determine i so that z*i**2 + 4/9*i**3 + 0*i + 0 + 2/9*i**4 = 0.
-1, 0
Suppose -6*w + 3*w + 11 = -5*p, -4*p = 4*w - 4. Suppose 0*x = -f - w*x, -11 = -4*f + 3*x. Suppose 2*n**3 + n - n**3 - f*n = 0. Calculate n.
-1, 0, 1
Let z(x) be the first derivative of x**7/21 + x**6/15 - x**5/10 - x**4/6 - 2*x - 7. Let a(m) be the first derivative of z(m). Determine f, given that a(f) = 0.
-1, 0, 1
Suppose -35 = 5*k - 3*u, -2*k - 30 = 3*k - 2*u. Let a be (0 - 0)/(k/2). Let 2/9*o**2 - 2/3*o**3 + a*o + 2/3*o**4 - 2/9*o**5 + 0 = 0. Calculate o.
0, 1
Let p(m) = 4*m - 1. Let j be p(1). Solve -8*t - j*t - 12 - 3*t**2 - t = 0.
-2
Let s(q) = q**2 + 5*q - 3. Let w be s(-5). Let a be (w + 28/10)*-2. Suppose 24/5*g + 12/5*g**3 - 26/5*g**2 - a*g**4 - 8/5 = 0. What is g?
1, 2
Let m(l) be the third derivative of l**6/240 + l**5/30 + 5*l**4/48 + l**3/6 - 6*l**2. Factor m(g).
(g + 1)**2*(g + 2)/2
Let d be (0/((4 - 1)*1))/2. Let u(l) be the third derivative of d + 0*l**5 + 1/90*l**6 + 1/315*l**7 - 1/18*l**4 + l**2 + 0*l - 1/9*l**3. Factor u(t).
2*(t - 1)*(t + 1)**3/3
Let z(v) = -9*v**3 + 19*v**2 - 6*v - 4. Let n(f) = 17*f**3 - 37*f**2 + 13*f + 7. Let y(c) = 4*n(c) + 7*z(c). Factor y(g).
5*g*(g - 2)*(g - 1)
Let q(b) be the third derivative of b**7/735 + b**6/105 + 2*b**5/105 + 3*b**2. What is m in q(m) = 0?
-2, 0
Let o(a) = a. Let k be o(7). Suppose k*d - 5 = 2*d - 3*z, -d = z + 1. Factor 2*j**2 + 2*j**4 + d*j**3 + 3*j**2 - 3*j**2.
2*j**2*(j + 1)**2
Let c(u) be the first derivative of -u**8/2520 - u**7/420 - u**6/180 - u**5/180 + u**3/3 - 1. Let r(m) be the third derivative of c(m). Factor r(i).
-2*i*(i + 1)**3/3
Solve -o**3 + 16*o**3 - o**4 - 14*o**3 + 3*o**2 - o - 2 = 0.
-1, 1, 2
Let q(x) be the third derivative of x**7/70 - 3*x**6/20 + 3*x**5/5 - x**4 + 61*x**2. Let q(r) = 0. Calculate r.
0, 2
Let f(s) be the second derivative of -1/21*s**4 - 4*s + 0*s**2 + 0*s**3 - 1/70*s**5 + 0. Factor f(n).
-2*n**2*(n + 2)/7
Factor 0 + 2*r**2 + 1/2*r**3 + 2*r.
r*(r + 2)**2/2
Let a be 3 - (2 + -2 - 1). What is o in 2*o**2 + 2 - 12*o**5 - 2*o + 4*o**3 + 13*o**5 - a*o**4 - 3*o = 0?
-1, 1, 2
Let s(w) = -10*w**5 - 22*w**4 - 16*w**3 - 16. Let r(y) = -3*y**5 - 7*y**4 - 5*y**3 - 5. Let f(t) = -16*r(t) + 5*s(t). Let f(g) = 0. What is g?
0, 1
Suppose u + u - 34 = 0. Factor 2*p + p**3 + 5*p**5 + 4*p**2 + u*p**4 + 20*p**3 + 11*p**2 - 4*p**2.
p*(p + 1)**3*(5*p + 2)
Let a(f) be the second derivative of f**7/126 - 2*f**6/45 + f**5/15 + 12*f. Factor a(l).
l**3*(l - 2)**2/3
Let f(y) = -3*y - 17. Let z be f(-9). Let i be ((-9)/z)/((-21)/14). Factor 6/5 - i*k - 6/5*k**2 + 3/5*k**3.
3*(k - 2)*(k - 1)*(k + 1)/5
Let r(g) be the second derivative of g**7/168 + g**6/60 - g**4/24 - g**3/24 - 9*g. Let r(t) = 0. Calculate t.
-1, 0, 1
Let f(m) be the third derivative of -m**7/945 + m**6/135 - m**5/45 + m**4/27 - m**3/27 - 4*m**2. Find l, given that f(l) = 0.
1
Let q = 574 + -572. Factor 0 + 1/4*a**4 + 1/8*a**5 + 0*a**q + 0*a + 0*a**3.
a**4*(a + 2)/8
Let v(u) = 6*u + 3. Let g be v(7). Let r be 117/g + 6/(-10). Factor -2/5*l - 1/5 - 1/5*l**r.
-(l + 1)**2/5
Factor 0*j - 4/5*j**2 - 1/5*j**5 + 0 - j**4 - 8/5*j**3.
-j**2*(j + 1)*(j + 2)**2/5
Let t(p) be the third derivative of -p**8/1680 + p**7/420 - p**5/60 + p**4/24 + p**3 + 6*p**2. Let w(m) be the first derivative of t(m). Factor w(g).
-(g - 1)**3*(g + 1)
Let s(n) be the third derivative of -1/51*n**3 + 2/255*n**5 + 0*n + 0 - 1/68*n**4 - 2*n**2. Find c such that s(c) = 0.
-1/4, 1
Let f(j) be the third derivative of j**5/330 - j**4/22 - 12*j**2. Factor f(l).
2*l*(l - 6)/11
Let q(m) = -3*m - 32. Let w(o) = -4*o - 48. Let n(a) = 7*q(a) - 5*w(a). Let i be n(12). Suppose -9*c + 3*c + 2*c - i - c**2 = 0. What is c?
-2
Let w(o) be the third derivative of -o**8/1344 + o**7/840 + o**6/240 - o**5/120 - o**4/96 + o**3/24 + 14*o**2. What is p in w(p) = 0?
-1, 1
Let a = -6 - -9. Let x(d) be the first derivative of 1/5*d**2 - 2/15*d**a + 2 + 4/5*d. Factor x(z).
-2*(z - 2)*(z + 1)/5
Let a = -24/7 + 37/21. Let b = 13/6 + a. Let b*u - 1/2*u**2 + 0 = 0. Calculate u.
0, 1
Let b be 24/28 - (-7)/49. What is w in -b - 1/3*w**2 - 4/3*w = 0?
-3, -1
Suppose -2*x = 5*p - 21, 0 = 2*x - 0*x - 2*p. Let 4/5*o**2 + 0*o + 0 + 2/5*o**4 + 6/5*o**x = 0. What is o?
-2, -1, 0
Let a(k) be the first derivative of 0*k**2 + 0*k - k**5 - 3/4*k**4 - 4 + 2/3*k**3. Determine g so that a(g) = 0.
-1, 0, 2/5
Let b be (6/4)/(-3 - -6). Let o be (-2)/3 - 224/(-84). Let -1/4*z**3 + 0*z**o + 0 - 1/4*z**5 + b*z**4 + 0*z = 0. Calculate z.
0, 1
Let x(c) = 6*c**4 + 17*c**3 + 11*c**2 + 11*c. Let p(d) = -3*d**4 - 9*d**3 - 6*d**2 - 6*d. Let k(h) = -11*p(h) - 6*x(h). Factor k(i).
-3*i**3*(i + 1)
Let v(m) = -m - 7. Let k be v(-5). Let l = k + 5. Factor 2/3*d + 1/3*d**4 + 1/3*d**5 - d**l - 1/3*d**2 + 0.
d*(d - 1)**2*(d + 1)*(d + 2)/3
Suppose 0 = -j, 5*z = -3*j + 13 + 2. Let g(n) be the third derivative of -1/60*n**5 + 0 + 0*n - 1/120*n**6 + 0*n**3 + z*n**2 + 1/12*n**4. What is c in g(c) = 0?
-2, 0, 1
Let o(b) = -40*b**4 + 210*b**3 - 384*b**2 + 254*b - 26. Let c(k) = -8*k**4 + 42*k**3 - 77*k**2 + 51*k - 5. Let p(z) = -14*c(z) + 3*o(z). What is a in p(a) = 0?
1/4, 1, 2
Let -2/5*u**5 + 4/5*u**3 - 2/5*u**4 - 2/5 - 2/5*u + 4/5*u**2 = 0. Calculate u.
-1, 1
Let m(b) be the third derivative of b**5/90 - b**4/18 + b**3/9 + 11*b**2. Factor m(s).
2*(s - 1)**2/3
Let q(p) be the third derivative of 0*p + 1/36*p**4 + p**2 - 1/360*p**6 - 1/6*p**3 - 1/360*p**5 + 0. Let u(z) be the first derivative of q(z). Factor u(c).
-(c + 1)*(3*c - 2)/3
Suppose 2*q = -2*y - q + 3, 0 = 5*q - 15. Let o = 5 + y. Suppose -1/4 + 1/4*a**3 - 1/4*a + 1/4*a**o = 0. What is a?
-1, 1
Let y be 4/22 - (159/(-33) - -2). Suppose 4/7*g**2 + 0*g**y - 2/7*g**4 + 0*g - 2/7 = 0. What is g?
-1, 1
Suppose 5*h - 5*h**4 - 5*h = 0. What is h?
0
Determine g, given that 20/17 + 2/17*g**2 - 14/17*g = 0.
2, 5
Let t(w) = 7*w**4 + 7*w**3 + 19*w**2 - 11*w + 11. Let b(d) = 2*d**4 + 2*d**3 + 5*d**2 - 3*d + 3. Let z(m) = 22*b(m) - 6*t(m). Factor z(s).
2*s**2*(s - 1)*(s + 2)
Suppose 3*p + 2*f = -0*f + 31, 4*p - 18 = 2*f. Let r(c) = -c + 9. Let y be r(p). Factor -8/3*j**3 - 1/3 + 16/3*j**4 - 5*j**y + 8/3*j.
(j - 1)*(j + 1)*(4*j - 1)**2/3
Let a(l) be the first derivative of 2*l**5/25 - 4*l**4/5 + 12*l**3/5 - 54*l/5 - 3. Factor a(c).
2*(c - 3)**3*(c + 1)/5
Let q(z) be the second derivative of -2*z**6/45 + 4*z**5/15 - 5*z**4/9 + 4*z**3/9 + 8*z. Find o such that q(o) = 0.
0, 1, 2
Find t, given that 2*t**4 + 386/9*t**2 + 52/3*t**3 + 32/9 + 208/9*t = 0.
-4, -1/3
Let j(p) = -3*p**2 - 29*p + 27. Let a(o) = 4*o**2 + 44*o - 40. Let s(v) = 5*a(v) + 8*j(v). Factor s(y).
-4*(y - 1)*(y + 4)
Let o(s) be the third derivative of -5/336*s**8 + 0 - 2/15*s**5 + 0*s**3 + 0*s + 3/40*s**6 + 4/105*s**7 + 5*s**2 - 1/6*s**4. What is x in o(x) = 0?
-1, -2/5, 0, 1, 2
Let g(b) be the second derivative of 1/4*b**2 - 1/24*b**4 + 4*b + 0*b**3 + 0. Factor g(m).
-(m - 1)*(m + 1)/2
Let w(x) be the first derivative of x**7/210 + x**6/40 + x**5/20 + x**4/24 + 3*x**2/2 + 4. Let i(a) be the s