rivative of p**7/735 - p**5/105 + p**3/21 - 3*p**2/2 - 4. Let c(m) be the second derivative of o(m). Factor c(g).
2*(g - 1)**2*(g + 1)**2/7
Let n(s) be the second derivative of -1/24*s**3 - 1/168*s**7 - 3/40*s**5 + 0*s**2 + 0 - 1/12*s**4 + 2*s - 1/30*s**6. Factor n(t).
-t*(t + 1)**4/4
Suppose -h = -5*z - 9, -5*h + 2*z + 45 = -z. Let u = -7 + h. Determine t, given that 2 - 1 - 2 - t**2 + u*t**2 = 0.
-1, 1
Let j(u) = -u**3 - u**2 - u - 1. Let s(b) = 6*b**3 + 22*b**2 + 58*b + 58. Let l(c) = 4*j(c) + s(c). Determine h, given that l(h) = 0.
-3
Determine s, given that 0*s**4 - 2/15*s**5 - 8/5*s + 4/15*s**2 + 14/15*s**3 - 16/15 = 0.
-2, -1, 2
Let n be (-2)/6 + 2/3. Suppose 7*l + 4*l - 55 = 0. Factor n*s + 1/3*s**l + 2*s**3 + 0 - 4/3*s**2 - 4/3*s**4.
s*(s - 1)**4/3
Let y(z) be the first derivative of 2*z - 7/2*z**2 - 5/3*z**3 + 19/4*z**4 - 4 + 3*z**5. Factor y(b).
(b + 1)**2*(3*b - 1)*(5*b - 2)
Suppose 3*t - 1 - 14 = 0. Suppose -2*m + t*p = -0*m + 1, -2*m = -4*p. Let 8/9*i**3 + m*i**2 + 2/9 + 4/3*i = 0. Calculate i.
-1, -1/4
Let c(y) be the first derivative of -4/3*y**3 - 4/5*y**5 + 0*y - 3/2*y**4 - 1/6*y**6 + 1 - 1/2*y**2. Find s such that c(s) = 0.
-1, 0
Let f(v) = 151*v**4 - 508*v**3 - 324*v**2 - 52*v. Let o(t) = -452*t**4 + 1523*t**3 + 972*t**2 + 155*t. Let i(m) = -11*f(m) - 4*o(m). Factor i(w).
3*w*(w - 4)*(7*w + 2)**2
Let o(s) be the third derivative of -s**5/3 - 2*s**4/3 + 2*s**3/3 - 16*s**2. Factor o(g).
-4*(g + 1)*(5*g - 1)
Let m be ((-11)/4 + 2)*(-10)/15. Let z(a) be the first derivative of m*a**2 + 3 + 0*a + 1/3*a**3. Find g such that z(g) = 0.
-1, 0
Let j(k) = k**5 + k**4 - k**2. Let w(b) = 2*b**5 + 22*b**4 - 20*b**3 + 2*b**2. Let s(t) = -6*j(t) + w(t). Factor s(z).
-4*z**2*(z - 2)*(z - 1)**2
Let p(a) be the third derivative of a**7/210 + a**6/120 - a**5/20 - 5*a**4/24 - a**3/3 - a**2. Factor p(l).
(l - 2)*(l + 1)**3
Let x be (-2 + 1)/(1 + 0). Let c be (-1 - x)*(-2 + 1). Suppose c*f**2 + 4/3*f**3 - 2/3*f**4 - 4/3*f + 2/3 = 0. Calculate f.
-1, 1
Let g(r) be the second derivative of 5*r**8/1344 - r**7/70 + 3*r**6/160 - r**5/120 + r**2 - 2*r. Let k(q) be the first derivative of g(q). Solve k(n) = 0 for n.
0, 2/5, 1
Let t be 0*(135/(-18) - -8). Factor 1/4*n - 1/4*n**3 + t + 0*n**2.
-n*(n - 1)*(n + 1)/4
Suppose 189*r - 187*r - 4 = 0. Factor -2/11*h**3 - 4/11*h**r + 0 - 2/11*h.
-2*h*(h + 1)**2/11
Suppose -c + 40 = 3*c. Suppose c = 4*g + 2. Find p such that -p**2 - 2*p**2 + 0*p**g = 0.
0
Let 9/2*w - 3 - 3/2*w**2 = 0. Calculate w.
1, 2
Factor -1/5*n**4 - 9/5*n + 0 - 7/5*n**3 - 3*n**2.
-n*(n + 1)*(n + 3)**2/5
Suppose 4*r + 31 = -5*n, 0*n - 3 = -3*r + 5*n. Let y(g) = -14*g**2 + 8*g. Let j(s) = -5*s**2 + 3*s. Let z(d) = r*y(d) + 11*j(d). Factor z(h).
h*(h + 1)
Let o(y) = 2*y + 12*y**3 - 8*y**4 + 3*y + 2*y**5 - 3*y - 4*y**2. Let d(f) be the first derivative of f**3/3 + 3. Let c(i) = 4*d(i) - o(i). Factor c(s).
-2*s*(s - 1)**4
Let i = -234 + 234. Factor 2/9*r**2 + i - 4/9*r**3 + 2/9*r**4 + 0*r.
2*r**2*(r - 1)**2/9
Let n(h) = h - 1. Let w(s) = s**2 + 8*s - 3. Let l(d) = -10*n(d) + 2*w(d). Let l(g) = 0. What is g?
-2, -1
Let i be 4/(-8)*(3 + -3). Factor -2/5*p - 2/5*p**3 + 4/5*p**2 + i.
-2*p*(p - 1)**2/5
Let s be 6/10 + (-60)/(-25). Let 2*z**3 - 6*z**2 + s*z**2 - 3*z**3 + 4*z**3 = 0. What is z?
0, 1
Let u be (17/(-51))/(2/(-12)). Let o be (-13)/(-5) + 14/(-7). Solve 0 - 6/5*w + o*w**u = 0 for w.
0, 2
Let u be (-2)/(-7) + 395/(-35). Let l(o) = 8*o**4 - 2*o**3 - 4*o + 4. Let k(f) = -15*f**4 + 3*f**3 + 8*f - 7. Let m(a) = u*l(a) - 6*k(a). Factor m(t).
2*(t - 1)*(t + 1)**3
Factor 17*r**4 + 16*r**3 - 3*r**4 - 2*r**4 + 4*r**2.
4*r**2*(r + 1)*(3*r + 1)
Let u(p) be the first derivative of -p**3 - 9/2*p**2 - 6*p - 1. Suppose u(o) = 0. Calculate o.
-2, -1
Factor -8/3*q**2 + 2/3*q**4 + 0 - 4/3*q**3 + 0*q + 1/3*q**5.
q**2*(q - 2)*(q + 2)**2/3
Let r(k) be the third derivative of -k**7/420 + k**6/120 + k**5/120 - k**4/24 - 31*k**2. Factor r(l).
-l*(l - 2)*(l - 1)*(l + 1)/2
Let o be (-15)/(-6)*(-16)/(-20). What is g in 0 - 3/5*g**5 + 0*g + 1/5*g**3 + 2/5*g**4 + 0*g**o = 0?
-1/3, 0, 1
Let m(a) be the first derivative of -a**7/210 + a**6/30 - a**5/12 + a**4/12 - 3*a**2/2 - 4. Let y(v) be the second derivative of m(v). Let y(k) = 0. What is k?
0, 1, 2
Let o(m) be the third derivative of -m**7/630 + m**6/180 + m**5/180 - m**4/36 + 36*m**2. Suppose o(b) = 0. Calculate b.
-1, 0, 1, 2
Let i = -52 - -55. Let r(x) be the second derivative of 1/120*x**6 + 0*x**i + 2*x + 0*x**5 + 0*x**4 + 0*x**2 + 0. Factor r(h).
h**4/4
Suppose 720*f = 719*f. Factor 2/3*i**2 - 2/3 + f*i.
2*(i - 1)*(i + 1)/3
Let a(h) = -2*h**5 - 8*h**4 - 16*h**3 - 4*h**2 + 2*h. Let r(n) = -n**3 + n**2 + n. Let u be (-6)/(-2)*(-2)/6. Let y(o) = u*a(o) + 4*r(o). Factor y(t).
2*t*(t + 1)**4
Let k(g) be the second derivative of -2*g**7/63 + g**6/18 - g**5/60 - 57*g. Let k(z) = 0. Calculate z.
0, 1/4, 1
Suppose 5*h = -4*x - 33, -3*h + 0*h = -x + 13. Let v be h/(35/2)*-32. Suppose -48/7*l**2 - v*l - 16/7*l**3 - 32/7 - 2/7*l**4 = 0. What is l?
-2
Let w(q) be the second derivative of q**4/36 + 2*q**3/9 + 10*q. Suppose w(n) = 0. What is n?
-4, 0
Let u(q) = 6*q**3 - q**2 - q + 11. Let r(f) = 3*f**3 + 6. Let g(k) = -5*r(k) + 3*u(k). Find x such that g(x) = 0.
-1, 1
Factor -2*q**3 - 2*q**3 + 4*q**4 + 0*q**3 - 30*q**2 - 16 - 6*q**2 - 44*q.
4*(q - 4)*(q + 1)**3
Suppose -l**3 + 6*l**2 - 7*l**2 + 18 - 4*l**3 + 3*l**4 + 21*l - 4*l**4 = 0. Calculate l.
-3, -1, 2
Let a = -21 - -28. Let t be a/(-3) + (-18)/(-6). Factor -t*l**3 + 0*l - 2*l**2 + 8/3.
-2*(l - 1)*(l + 2)**2/3
Suppose 1 = d, 4*m + 5*d - 1 - 12 = 0. Let i(l) be the first derivative of -m*l - l**2 + 3 - 1/6*l**3. What is q in i(q) = 0?
-2
Let q(y) = -81*y**3 - 6*y**2 + 39*y - 36. Let g(v) = 16*v**3 + v**2 - 8*v + 7. Let x(u) = 21*g(u) + 4*q(u). Find m, given that x(m) = 0.
-1, 1/4, 1
Let l(g) be the third derivative of -g**7/210 + g**6/30 + g**5/12 + g**2 + 7*g. Solve l(o) = 0.
-1, 0, 5
Let l = -3 + 1. Let r(a) = 9*a**5 + a**3 - 5*a**2 - 5*a - 5. Let p(i) = -i**5 - 3*i**5 + 2 + 0*i**2 + 2*i**2 + 2*i. Let q(d) = l*r(d) - 5*p(d). Factor q(n).
2*n**3*(n - 1)*(n + 1)
Let g(a) be the second derivative of a**7/2520 + a**6/180 + a**5/30 + a**4/4 + 3*a. Let p(s) be the third derivative of g(s). Find t, given that p(t) = 0.
-2
Let m(d) be the third derivative of d**6/360 + d**5/360 + d**3/3 + 4*d**2. Let g(i) be the first derivative of m(i). Let g(f) = 0. Calculate f.
-1/3, 0
Let b(x) be the second derivative of 1/105*x**7 + 0 + 0*x**2 - x + 0*x**3 - 1/50*x**5 - 1/30*x**4 + 1/75*x**6. Factor b(d).
2*d**2*(d - 1)*(d + 1)**2/5
Let w be 0 + -1 + (8 - 7). Factor 0*x**2 + w*x**3 + 1/4*x**4 + 0 + 0*x.
x**4/4
Factor 1/4*d + 1/2 - 1/4*d**2.
-(d - 2)*(d + 1)/4
Let k = 249/7 - 1371/35. Let o = 4 + k. Factor 0 - o*u**3 + 4/5*u**2 - 2/5*u.
-2*u*(u - 1)**2/5
Suppose -3*d = -15, -5*d + 37 = -2*x + 6*x. Let z = 9 + -6. Factor 6*r**x - 7*r**2 - 2*r**z - r + 4*r**2.
r*(r - 1)*(4*r + 1)
Suppose -d + 4*m = 2*d + 15, -3*d = -3*m + 18. Let x be (3/(d/(-4)))/2. Suppose x*f**2 + 0 + 0*f = 0. Calculate f.
0
Suppose 3*o + 9 = -2*o - 3*r, 0 = 4*o - 3*r - 9. Find p, given that -2/9*p**2 - 2/9*p**3 + o + 0*p = 0.
-1, 0
Let c = 34/155 + 18/31. Suppose 2/5*g**2 - 2/5*g - c = 0. What is g?
-1, 2
Let v(x) be the third derivative of 0 - 1/9*x**3 + 1/360*x**6 - 1/45*x**5 + 5/72*x**4 + 0*x - 3*x**2. Factor v(y).
(y - 2)*(y - 1)**2/3
Let v(r) = 18*r**2 - 6*r - 15. Let k(q) = -q**2 + q + 1. Let y(s) = 15*k(s) + v(s). Suppose y(x) = 0. What is x?
-3, 0
Let x(j) be the third derivative of -j**8/90720 + j**7/11340 - 11*j**5/60 - 4*j**2. Let d(u) be the third derivative of x(u). Factor d(a).
-2*a*(a - 2)/9
Let o = 2176/591 + -3/197. Let d = o - 71/21. Factor 0*q**2 + 2/7*q - d*q**3 + 0.
-2*q*(q - 1)*(q + 1)/7
Let r = 62 + -59. Solve 1/4*i + 1/4*i**5 + 3/2*i**r + 0 - i**2 - i**4 = 0.
0, 1
Suppose -64/5 + 32/5*h + 12*h**2 - 32/5*h**3 + 4/5*h**4 = 0. What is h?
-1, 1, 4
Let i = -3 + 7. Factor 2*l**3 + 10*l**2 + 2*l**i + 0*l - 4*l - 10*l**3 + 0*l**4.
2*l*(l - 2)*(l - 1)**2
Let f(s) be the third derivative of s**2 + 0 - 1/20*s**4 - 1/150*s**5 - 2/15*s**3 + 0*s. Factor f(u).
-2*(u + 1)*(u + 2)/5
Let m(n) be the third derivative of n**9/151200 + n**8/16800 + n**7/6300 + n**5/60 + 7*n**2. Let x(d) be the third derivative of m