e the third derivative of g**6/1800 - g**5/300 + g**4/120 + 2*g**3/3 + 4*g**2. Let d(l) be the first derivative of u(l). Factor d(z).
(z - 1)**2/5
Let b(f) be the first derivative of 5*f**4/14 + 26*f**3/21 + 4*f**2/7 - 8*f/7 - 2. Factor b(g).
2*(g + 1)*(g + 2)*(5*g - 2)/7
Suppose 3 + 3 = -2*r, -5 = -5*z + 5*r. Let o = 4 + z. Let -2*n + o*n**2 - 2*n**4 + 4*n**4 + 4*n**2 - 6*n**3 = 0. Calculate n.
0, 1
Let x be (3 + -3)/(0 - (1 - 2)). Let g(v) be the second derivative of 2*v + x - 1/4*v**2 - 1/12*v**3 + 1/24*v**4 + 1/40*v**5. Factor g(o).
(o - 1)*(o + 1)**2/2
Let f(y) be the first derivative of -y**3 + 0*y + 3/2*y**2 - 2 - 3/2*y**4. Find o such that f(o) = 0.
-1, 0, 1/2
Solve -1/3*p**3 + 1 + 1/3*p - p**2 = 0 for p.
-3, -1, 1
Let r be 2154/36 + (-1)/(-6). Let i = -298/5 + r. Find s such that -4/5*s + i*s**2 + 0 + 2/5*s**3 = 0.
-2, 0, 1
Let k(g) be the second derivative of g**6/80 - g**5/20 + g**4/16 - 4*g**2 - 3*g. Let o(z) be the first derivative of k(z). Factor o(d).
3*d*(d - 1)**2/2
Suppose -w = w. Suppose w = 3*b - 2*c + 3*c + 4, 5*c + 20 = -b. Factor b - 2/7*p - 2/7*p**2.
-2*p*(p + 1)/7
Let h(d) be the second derivative of -d**7/14 + d**6/5 - 3*d**5/20 + 2*d + 21. Factor h(g).
-3*g**3*(g - 1)**2
Let z(o) = -o**4 - o**2 - o. Let s(k) = k**3 - 3*k**2 + 2*k. Let j be s(3). Let h(y) = y**4 + 2*y**3 - 3*y**2 - 2*y. Let v(i) = j*z(i) - 3*h(i). Solve v(c) = 0.
-1, 0, 1/3
Let r(a) = -5*a**4 + 2*a**2 + 3*a + 3. Let w(v) = -4*v - 16 - v**4 - 2*v**2 + 7*v**4 + 12. Let o(y) = -4*r(y) - 3*w(y). Find l such that o(l) = 0.
-1, 0, 1
Suppose -k + 6*k - 20 = 0. Determine n, given that n + 3*n**2 - n - 3*n**3 + n**k - n = 0.
0, 1
Let z(h) = -6*h**3 + 20*h**2 - 14*h. Let a(u) = -4*u**3 + 13*u**2 - 9*u. Let p(k) = -8*a(k) + 5*z(k). What is b in p(b) = 0?
0, 1
Suppose -3 = 3*k - 18. Suppose -i + k = 3. Factor 0 + 2/9*m**i - 4/9*m**3 + 2/9*m**4 + 0*m.
2*m**2*(m - 1)**2/9
Solve -1/2*i**4 + 1/2 - i**3 + i + 0*i**2 = 0 for i.
-1, 1
Let a(d) be the third derivative of 0*d - 1/60*d**5 - 3*d**2 + 1/105*d**7 - 1/8*d**4 + 1/40*d**6 - 1/6*d**3 + 0. Determine z so that a(z) = 0.
-1, -1/2, 1
Determine x so that -16*x**2 - 2*x + 27*x**3 - 6*x**3 + 0*x**4 - 9*x**4 + 6*x = 0.
0, 2/3, 1
Let t = 4 + 0. Solve -2*q**3 + q**4 - 8*q**t + 4*q**4 + 5*q**3 = 0.
0, 1
Let x(w) be the second derivative of -w**4/12 - w**3/2 - w**2 + 45*w. Factor x(u).
-(u + 1)*(u + 2)
Let g(t) be the third derivative of 0*t**3 - 2*t**2 + 0 + 2/135*t**5 + 1/945*t**7 + 0*t**4 + 0*t - 1/135*t**6. Find n such that g(n) = 0.
0, 2
Let s(o) be the first derivative of o**3/5 - 27*o**2/10 - 6*o + 28. Factor s(k).
3*(k - 10)*(k + 1)/5
Determine u, given that -3/5 + 3/5*u**3 - 3/5*u + 3/5*u**2 = 0.
-1, 1
Suppose -4*s + s = 0. Suppose s = 3*a + 2*a - 10. Solve 0 + 0*m + 2/5*m**a = 0 for m.
0
Let s(y) = y**3 - 4*y**2 - 3*y - 7. Let n be s(5). Factor 0*r**3 + n*r**2 - 1 + 2 - r**3 - 3*r.
-(r - 1)**3
Let s(w) be the third derivative of 2*w**2 + 0*w + 1/48*w**6 + 1/1344*w**8 + 5/96*w**4 - 1/168*w**7 - 1/24*w**3 - 1/24*w**5 + 0. What is h in s(h) = 0?
1
Let n(t) = -9*t. Let b be n(-4). Factor -15*g**3 + 8 + 4*g**4 - 3*g + b*g**2 + 35*g**3 + 31*g.
4*(g + 1)**3*(g + 2)
Let r = 3226/15 - 215. Let c(i) be the third derivative of 0*i - 1/12*i**4 - 1/84*i**8 - 1/6*i**5 + 0*i**3 - r*i**7 - 3/20*i**6 + 0 + i**2. Factor c(u).
-2*u*(u + 1)**3*(2*u + 1)
Suppose 0 = 3*y + 13 - 46. Let l(f) = 15*f - 2*f**2 + 6 + y*f**2 - 6*f. Let j(n) = -n**2 - n - 1. Let a(t) = -5*j(t) - l(t). Factor a(c).
-(2*c + 1)**2
Let s(p) be the second derivative of -p**5/10 + p**4/3 - p**3/3 - 4*p. Factor s(v).
-2*v*(v - 1)**2
Factor 4*t**4 + 2*t**3 - 4*t**5 - 4*t**3 + 2*t**5.
-2*t**3*(t - 1)**2
Let j be 1/(-1 - 0) - -4. Suppose -5 = -j*m + 1. Let 0*b**4 + b**5 - b**4 + b**m - 2*b**3 + b**3 = 0. Calculate b.
-1, 0, 1
Suppose 20 = -3*o + 8*o. Determine v, given that 8*v**3 - 11*v**o + 15*v**4 + v + 4*v**2 - v = 0.
-1, 0
Let b = -1/7855 + 2483752/7855. Let s = b - 315. Factor -s*d - 4/5 - 2/5*d**2.
-2*(d + 1)*(d + 2)/5
Let q(k) = k**4 - k**3 - k**2 - k. Let v(i) = 3*i**4 - 2*i**3 - 2*i**2 - 2*i. Let t(b) = -2*q(b) + v(b). Factor t(w).
w**4
Let l be (-2 - -6) + 96/(-30). Determine y, given that 0*y - l*y**3 + 2/5*y**4 + 2/5*y**2 + 0 = 0.
0, 1
Let x = 1125/92 + -264/23. Determine l, given that 1/4*l**5 - x*l - 1/4 + 1/2*l**3 + 3/4*l**4 - 1/2*l**2 = 0.
-1, 1
Let p = 51 + -44. Let l(y) be the second derivative of -1/35*y**5 + 0*y**2 + 2*y + 0*y**4 + 1/147*y**p + 0 + 0*y**6 + 1/21*y**3. Factor l(k).
2*k*(k - 1)**2*(k + 1)**2/7
Let m(w) = -4*w**2 + 2. Let v(f) be the second derivative of -f**5/20 - f**2/2 + 6*f. Let z(u) = -2*m(u) - 4*v(u). Factor z(j).
4*j**2*(j + 2)
Let n(y) be the first derivative of -7/4*y**4 - 2 + 0*y + 2/3*y**3 + 4/5*y**5 + 1/2*y**2. Factor n(l).
l*(l - 1)**2*(4*l + 1)
Let m(v) be the third derivative of v**6/180 + v**5/10 + 3*v**4/4 + 3*v**3 - 2*v**2. Factor m(b).
2*(b + 3)**3/3
Let p(s) be the first derivative of -2/9*s**3 + 3 + 0*s**2 + 2/3*s. What is w in p(w) = 0?
-1, 1
Factor 1 - 3*b**2 - 3*b**3 - 4*b**3 + 4*b - 11*b**3.
-(2*b - 1)*(3*b + 1)**2
Let k(u) be the first derivative of u**3/21 - u/7 - 6. Solve k(n) = 0 for n.
-1, 1
Let i(u) be the first derivative of 0*u + 7 + 0*u**2 + 1/3*u**3. Find j, given that i(j) = 0.
0
Let u = -2/5 - -23/20. Let p(z) be the first derivative of 1/2*z**2 + z**3 + u*z**4 - 2 + 0*z + 1/5*z**5. Factor p(m).
m*(m + 1)**3
Suppose 0 = -28*p + 31*p - 9. Let d(x) be the second derivative of 1/4*x**p + 1/4*x**2 + 1/8*x**4 + 2*x + 1/40*x**5 + 0. Factor d(y).
(y + 1)**3/2
Let o(j) = -j + 10. Let t be o(5). Suppose -s - 8 = -t*s. Factor -c**5 - s*c**5 - 2*c**4 + 2*c**5 + 4*c**4 - c**3.
-c**3*(c - 1)**2
Let n be ((56/(-6))/7 - -1)/(-1). Let h(s) be the second derivative of -3*s + 0*s**2 + 5/12*s**4 + 1/30*s**6 + 1/5*s**5 + n*s**3 + 0. Factor h(d).
d*(d + 1)**2*(d + 2)
Let v(u) = -7*u**5 + 4*u**4 - 30*u**3 + 62*u**2 - 38*u + 6. Let j(c) = 6*c**5 - 5*c**4 + 31*c**3 - 61*c**2 + 37*c - 5. Let x(d) = -6*j(d) - 5*v(d). Factor x(m).
-m*(m - 4)*(m - 2)**3
Factor -7/2*m - 1 - 5/2*m**2.
-(m + 1)*(5*m + 2)/2
Let f = -281 + 845/3. Determine w, given that 0*w - 2/3*w**2 + f = 0.
-1, 1
Factor 4*c**2 - 19*c**2 - 2*c**3 - 7*c**3 - 3*c + 3 + 0*c.
-3*(c + 1)**2*(3*c - 1)
Factor 64/5*y**3 - 2*y**4 + 0 - 114/5*y**2 + 36/5*y.
-2*y*(y - 3)**2*(5*y - 2)/5
Let a(z) be the second derivative of z**4/84 + z**3/7 + 2*z - 39. Factor a(l).
l*(l + 6)/7
Let v(z) be the third derivative of -z**5/135 - 2*z**4/27 - 2*z**3/9 + 13*z**2. Factor v(b).
-4*(b + 1)*(b + 3)/9
Let s be ((-16)/(-42))/((-8)/(-12)). Determine h, given that 2/7 - 6/7*h**2 + s*h = 0.
-1/3, 1
Let v(t) be the third derivative of -1/35*t**7 + 2*t**2 + 0*t**4 + 1/40*t**6 + 0*t**5 + 0*t**3 + 0 + 1/112*t**8 + 0*t. Solve v(l) = 0.
0, 1
Let c(j) be the second derivative of 0*j**6 + 0 + 1/21*j**7 + 1/3*j**3 - 2*j + 0*j**4 - 1/5*j**5 + 0*j**2. Find u, given that c(u) = 0.
-1, 0, 1
Let m(o) be the first derivative of -2*o + 1/10*o**5 - 1/6*o**4 - 2 + o**2 - 1/3*o**3. Let s(d) be the first derivative of m(d). Suppose s(g) = 0. Calculate g.
-1, 1
Let y(m) = m**4 + m**3 + m**2. Let a(c) = -3*c**4 + 5*c**3 - 19*c**2 + 17*c - 6. Let r(o) = 2*a(o) + 4*y(o). Factor r(z).
-2*(z - 3)*(z - 2)*(z - 1)**2
Let d be (3/(-2))/3 - -1. Let k(z) = 3*z**2 - 3*z + 2. Let h be k(1). Let 1/2 - d*u**h + 0*u = 0. What is u?
-1, 1
Let b(k) be the third derivative of 0 + 0*k**3 + 1/8*k**4 + 0*k + 3/40*k**6 - 1/70*k**7 + k**2 - 3/20*k**5. Find g such that b(g) = 0.
0, 1
Let s(m) = -m**2 + 7*m - 3. Let x be s(6). Suppose -w - 2*w + 9 = 0. Solve 0*b**3 - b**3 + x*b - w*b + b = 0 for b.
-1, 0, 1
Suppose -q = -0 - 4. Let p be 6*((-2)/(-1))/q. Factor 0*v + 0 + 6/11*v**4 - 4/11*v**2 + 2/11*v**p.
2*v**2*(v + 1)*(3*v - 2)/11
Find s such that 4*s**4 - 138 + 4*s**2 - 12*s**3 - 12*s**2 + 48*s - 169 + 275 = 0.
-2, 1, 2
Let o = -7 - -9. Factor 4*m + m**o + 3*m**2 - 3*m - 3*m + 2*m**3 - 4.
2*(m - 1)*(m + 1)*(m + 2)
Suppose 0 = -8*i + 27 + 13. Factor -4/11*d**2 - 6/11*d**3 + 2/11*d**i + 0*d + 0 + 0*d**4.
2*d**2*(d - 2)*(d + 1)**2/11
Factor 8*o + 16*o**3 + 16*o**2 + 16*o**3 + 20*o**2 - 4*o**3.
4*o*(o + 1)*(7*o + 2)
Let o(x) = -5*x**3 - 2*x**2 + 7*x. Let a(i) = -i**3 + i. Let y(m) = 6*a(m) - o(m). Factor y(l).
-l*(l - 1)**2
Let w be 3