 be the first derivative of g(v). Factor n(p).
2*p*(p - 1)**2*(p + 1)/9
Let k = 16 - 21. Let v(w) = 2*w**2 - 7*w. Let u(y) = -3*y**2 + 15*y. Let d(s) = k*u(s) - 9*v(s). Factor d(i).
-3*i*(i + 4)
Let y(k) be the second derivative of k**7/14 + 2*k**6/5 + 9*k**5/10 + k**4 + k**3/2 - 11*k. Factor y(u).
3*u*(u + 1)**4
Let s(b) be the third derivative of -7*b**6/960 - b**5/240 + 22*b**2. Factor s(t).
-t**2*(7*t + 2)/8
Suppose 20*i - 12 = 16*i. Factor -21*v**4 - 2*v**2 - 2*v**2 + 0*v**4 - 27*v**i - 2*v**2.
-3*v**2*(v + 1)*(7*v + 2)
Suppose -25 = -9*m + 11. Solve -1/2*f**3 + 0 + 1/3*f**m + 1/6*f**2 + 0*f = 0 for f.
0, 1/2, 1
Factor 2 - 9 + 15 - 2*i**2.
-2*(i - 2)*(i + 2)
Let s(t) = t**2 + 4*t + 3. Let j be s(-5). Let x be (6/84)/(1/j). Find z such that 2/7*z**4 + 2/7*z**2 - x + 6/7*z - 6/7*z**3 = 0.
-1, 1, 2
Let w(h) be the first derivative of 1/9*h**3 - 1/15*h**5 + 0*h**2 - 4 + 0*h**4 + 0*h. What is z in w(z) = 0?
-1, 0, 1
Let y be 16/66*(-18)/(-12). What is v in -42/11*v**4 - y + 8/11*v**5 - 74/11*v**2 + 82/11*v**3 + 30/11*v = 0?
1/4, 1, 2
Let l(w) = -27*w**3 + 21*w**2 - 21*w + 27. Let s(k) = -7*k**3 + 5*k**2 - 5*k + 7. Let r(f) = -4*l(f) + 15*s(f). Factor r(a).
3*(a - 1)**3
Suppose 0 = 4*w - 5*i + 7, 2*i - 1 = -2*w + 3*i. Let s be w - 2/(-4)*2. Factor 2*g**2 - 4 + 4*g - s*g**2 + 0*g.
-(g - 2)**2
Let s = 131/3 + -649/15. Let n be 11/10 + 2/4. Solve -s - n*i**2 - 2*i = 0.
-1, -1/4
Let v = 822 - 819. Factor 6/5*w + 0 + 7/5*w**v - 23/5*w**2.
w*(w - 3)*(7*w - 2)/5
Suppose -7*h + 2*h + 525 = 0. Let w be (-1)/(-5) + 69/h. Find s such that 2/7*s**3 + 4/7*s + 0 + w*s**2 = 0.
-2, -1, 0
Let n(b) be the third derivative of b**5/330 - b**4/132 + 7*b**2. Determine h so that n(h) = 0.
0, 1
Factor -35*i**2 - 3*i**4 + 18*i**3 + 6*i + 18*i + i**2 - 2*i**2.
-3*i*(i - 2)**3
Let s(f) be the third derivative of f**8/504 + f**7/315 - f**6/90 - f**5/45 + f**4/36 + f**3/9 - 12*f**2. Let s(i) = 0. What is i?
-1, 1
Let u be (-63)/(-54) + 1/(-6). Let h(t) be the first derivative of u + 2/7*t + 1/7*t**4 - 3/7*t**2 + 1/21*t**6 + 4/21*t**3 - 6/35*t**5. Factor h(p).
2*(p - 1)**4*(p + 1)/7
Factor 6/7 - 2/7*p**2 + 4/7*p.
-2*(p - 3)*(p + 1)/7
Let h(r) be the first derivative of r**5/25 + 7*r**4/20 + 6*r**3/5 + 2*r**2 + 8*r/5 + 14. Factor h(g).
(g + 1)*(g + 2)**3/5
Let a(m) be the third derivative of 0 + 0*m - 1/120*m**6 - 1/6*m**3 - 1/20*m**5 - 1/8*m**4 + 2*m**2. Determine r so that a(r) = 0.
-1
Let j(a) be the second derivative of -4*a**7/77 - 13*a**6/165 + 6*a**5/55 + 7*a**4/33 - a**2/11 - 19*a. Let j(d) = 0. Calculate d.
-1, -1/3, 1/4, 1
Let s(z) be the first derivative of 1/2*z**3 - 10 + 27/2*z - 9/2*z**2. Factor s(h).
3*(h - 3)**2/2
Determine i, given that -81/5 + 3/5*i**3 - 27/5*i**2 + 81/5*i = 0.
3
Let k(p) be the second derivative of p**6/105 - p**5/35 + p**4/42 + 3*p. Factor k(x).
2*x**2*(x - 1)**2/7
Let z(g) be the third derivative of g**7/1260 - g**6/120 - g**4/6 + 4*g**2. Let a(n) be the second derivative of z(n). Factor a(q).
2*q*(q - 3)
Let m(z) be the second derivative of -z**7/84 - z**6/60 + 3*z**5/20 + z**4/6 - 2*z**3/3 - 15*z. Solve m(j) = 0.
-2, 0, 1, 2
Let q(l) be the second derivative of -2*l**6/15 - 6*l**5/5 - 13*l**4/3 - 8*l**3 - 8*l**2 - 5*l. Find w, given that q(w) = 0.
-2, -1
Let f = -2 + 2. Suppose 0*m - 2*m = f. Solve m*p**3 + p**3 + p**3 = 0.
0
Find b, given that 4/3*b**2 + 0 - b**3 + 4/3*b = 0.
-2/3, 0, 2
Let h(n) be the first derivative of -1/3*n**3 + 0*n + 0*n**2 - 1/4*n**4 - 1. Let q(f) = -f**4 + 2*f**3 + f**2. Let r(d) = 2*h(d) + 2*q(d). Factor r(g).
-2*g**3*(g - 1)
Let k(h) be the second derivative of 0 + 0*h**3 + 1/40*h**5 - 1/84*h**7 - h + 0*h**2 + 1/60*h**6 - 1/24*h**4. Factor k(q).
-q**2*(q - 1)**2*(q + 1)/2
Let x(g) = -g - 8. Let b be x(-8). Let s be 6/10*10/4. Let b - s*f**3 + f**4 + f**2 - 1/4*f**5 - 1/4*f = 0. What is f?
0, 1
Factor -1/7 - 6/7*z**2 - z.
-(z + 1)*(6*z + 1)/7
Let k(p) be the second derivative of -p**6/105 + p**4/14 - 2*p**3/21 + 8*p. Find w, given that k(w) = 0.
-2, 0, 1
Let s = -388/3 + 131. Factor 0 - 1/3*k**5 - 2/3*k - 3*k**3 + 7/3*k**2 + s*k**4.
-k*(k - 2)*(k - 1)**3/3
Let j(t) be the second derivative of t**6/195 - t**4/26 - 2*t**3/39 + 5*t. Factor j(w).
2*w*(w - 2)*(w + 1)**2/13
Let q be (-3)/15 - 14/5. Let m be (1 - q)/(40/4). Solve 2/5*k + 0 - m*k**2 = 0.
0, 1
Let a be (4/(64/4))/1. Factor -d**2 - d**4 + 3/2*d**3 + 0 + 1/4*d**5 + a*d.
d*(d - 1)**4/4
Let q(b) be the third derivative of b**5/60 + b**4/8 + b**3/2 - 9*b**2. Let w be q(-2). Solve w + 1/4*o**2 - o = 0 for o.
2
Let z(l) be the second derivative of l**6/195 - l**4/26 - 2*l**3/39 - 2*l. Factor z(x).
2*x*(x - 2)*(x + 1)**2/13
Factor -6*y**2 + 3/2*y**4 + 0*y + 9/2*y**3 + 0.
3*y**2*(y - 1)*(y + 4)/2
Let v = 105/2 - 52. Solve -1/2*z + v*z**2 + 0 = 0.
0, 1
Suppose 0 = -0*j + 5*j - 15. Suppose 3*v - 2*n - 11 = -0*v, j*n = 4*v - 15. Suppose -3*o + 5*o**2 + v*o - 2 - 3*o**2 = 0. Calculate o.
-1, 1
Let d(v) be the second derivative of -7*v**4/20 + v**3/2 + 3*v**2/5 + 7*v. Determine p, given that d(p) = 0.
-2/7, 1
Let y(z) be the first derivative of 2*z**6/3 - 16*z**5/5 + 6*z**4 - 16*z**3/3 + 2*z**2 - 11. Factor y(k).
4*k*(k - 1)**4
Suppose -72/5 - 13/5*b**3 - 12/5*b + 1/5*b**4 + 46/5*b**2 = 0. What is b?
-1, 2, 6
Let y(v) = 9*v**3 - 7*v**2 - 7*v + 5. Let o(l) be the second derivative of l**5/5 - l**4/4 - l**3/2 + l**2 - 2*l. Let n(m) = 10*o(m) - 4*y(m). Factor n(w).
2*w*(w - 1)*(2*w + 1)
Let k(h) be the third derivative of h**7/210 - h**6/60 + h**4/12 - h**3/6 - 6*h**2. Solve k(g) = 0 for g.
-1, 1
Let q = -115 - -1269/11. Factor 6/11*s - 2/11*s**2 - q.
-2*(s - 2)*(s - 1)/11
What is d in -1/6*d**2 + 1/6*d + 1/3 = 0?
-1, 2
Let a(b) be the third derivative of -b**6/420 + b**5/210 + b**4/84 - b**3/21 - 9*b**2. Factor a(j).
-2*(j - 1)**2*(j + 1)/7
Let l(n) = -n + 4. Let k(z) = -z + 14. Let x be k(10). Let w be l(x). Suppose 0*i**3 + w*i + 0*i**2 + 0 + 1/4*i**4 - 1/4*i**5 = 0. What is i?
0, 1
Factor -16*p**2 - 88*p**3 - p**4 + 36*p**3 + 30*p**3 + 30*p**3.
-p**2*(p - 4)**2
Let s(n) be the third derivative of n**8/224 - n**7/35 + n**6/16 - n**5/20 - 10*n**2. Solve s(o) = 0 for o.
0, 1, 2
Let o(h) be the second derivative of -h**6/60 + 3*h**5/32 - h**4/8 - h**3/12 - 13*h. Factor o(k).
-k*(k - 2)**2*(4*k + 1)/8
Suppose -16*k**3 - 28/3*k - 4/3*k**5 - 22/3*k**4 - 2 - 52/3*k**2 = 0. What is k?
-3/2, -1
Let y(q) be the third derivative of 0*q + 1/5*q**5 + 0*q**3 + 3*q**2 + 0 + 0*q**4 + 5/112*q**8 - 1/10*q**7 - 1/5*q**6. Suppose y(r) = 0. What is r?
-1, 0, 2/5, 2
Let x(g) = g**5 - g**4 - g**3 - g**2 - 1. Let y(r) = 16*r**5 - 8*r**4 - 16*r**3 - 16*r**2 - 12. Let c(f) = -12*x(f) + y(f). Determine u, given that c(u) = 0.
-1, 0, 1
Let w = -1000 + 7006/7. Determine b, given that -3/7*b**2 + w*b - 3/7 = 0.
1
Let q be 36/24*(-2)/(-90). Let g(a) be the second derivative of -1/5*a**2 + 0 + a + 1/5*a**3 - 3/50*a**5 + q*a**4. Factor g(l).
-2*(l - 1)*(l + 1)*(3*l - 1)/5
Let f(j) = -j**3 - 5*j**2 - j - 3. Let d be f(-5). Suppose r = -u + 4, -3*u + 3*r = -d*u. Factor -2/3*w + 2/3*w**4 - 2/3*w**2 + 0 + 2/3*w**u.
2*w*(w - 1)*(w + 1)**2/3
Let t(g) be the third derivative of -4*g**2 + 0*g + 1/105*g**7 + 0*g**3 + 1/12*g**4 + 1/10*g**5 + 0 + 1/20*g**6. Solve t(r) = 0.
-1, 0
Let k(m) be the third derivative of m**6/900 - m**4/60 - 2*m**3/45 + 9*m**2. Suppose k(b) = 0. Calculate b.
-1, 2
Let p be (-1 + 34)*4/(-3). Let x(y) = -2*y**4 + 11*y**3 - 15*y**2 + 11*y + 11. Let m(n) = -n**4 + n**3 - n**2 + n + 1. Let o(l) = p*m(l) + 4*x(l). Factor o(z).
4*z**2*(3*z - 2)*(3*z + 2)
Let d be (-4)/(-10) - 66/15. Let b be d/(-2) + 6/(-12). Determine o, given that -3/2*o**3 + 1/2*o**2 - o**4 + 1/2 + b*o = 0.
-1, -1/2, 1
Let d = 9 + -8. Let k be 0/(-7) + (d - 1). Factor 0 + k*n + 1/2*n**2.
n**2/2
Let z(s) be the first derivative of -s**5 - 5*s**4 + 10*s**3/3 + 30*s**2 - 45*s + 2. Factor z(i).
-5*(i - 1)**2*(i + 3)**2
Let t(w) be the second derivative of w**6/360 + 3*w**2/2 - w. Let j(v) be the first derivative of t(v). Factor j(m).
m**3/3
Let a be 0/(1 + 0 - 3). Suppose a = -2*l - 1 + 5. Solve 4 - 4 + 2*k**l + 2*k - 4 = 0.
-2, 1
Let g = -957 + 960. Factor 0*f + 0 + 4/5*f**4 + 0*f**g - 4/5*f**2.
4*f**2*(f - 1)*(f + 1)/5
Let c be (2/(-4))/(16/(-136)). Factor 0 - 4*g**4 - 10*g**3 - 1/2*g - c*g**2.
-g*(g + 2)*(4*g + 1)*