 n**3 - n**4 + 2*n**5 + n**2 + 4*n**5 = 0?
-1, 0, 1/4, 1
Factor -2 - 5*t - 18*t**4 + 3*t + 10*t**2 + 2 - 6*t**3.
-2*t*(t + 1)*(3*t - 1)**2
Let d be 0/(-6 + (-8)/(-2)). Let f(u) be the third derivative of -3*u**2 + 1/240*u**5 + d*u**4 - 1/24*u**3 + 0 + 0*u. Factor f(p).
(p - 1)*(p + 1)/4
Let r(w) be the second derivative of -w**5/60 - w**4/36 + 2*w. Factor r(j).
-j**2*(j + 1)/3
Factor 2/7*s**2 + 0 + 24/7*s.
2*s*(s + 12)/7
Suppose 3*l = 4*j + 6, -l + 4*j + 1 + 1 = 0. Factor 2*r**2 - 5*r**4 - r**l - 2*r**3 + 6*r**4.
r**2*(r - 1)**2
Let m(f) = -f - 8. Let g be m(-9). Let x = 4 - g. What is j in 0*j**2 + 2*j**2 + j**4 - 2*j**x - 3*j**4 + 2*j**5 = 0?
-1, 0, 1
Find o, given that 2/3 + 1/6*o**2 + 2/3*o = 0.
-2
Let z(h) = -h**2 + 6*h. Let o be z(7). Let b = -4 - o. Factor -b*f**2 + 4*f**2 - 3 + 4 - 4*f + 3.
(f - 2)**2
Let n = -116 - -586/5. Let z = -1/142 - -857/710. Factor z*a + 2/5*a**3 + n*a**2 + 2/5.
2*(a + 1)**3/5
Suppose 2*r + 2*r - 112 = 0. Let y be (-1)/r - 2/(-7). Suppose 0*j + y - 1/4*j**2 = 0. Calculate j.
-1, 1
Let u(r) = r + 11. Let d be u(-9). Determine k so that 3*k**5 + 0 + 3*k - 2*k**3 + d*k**2 - 4*k**5 + 1 - 3*k**4 = 0.
-1, 1
Let y(p) be the third derivative of 3*p**2 + 0*p**3 + 1/60*p**4 + 0*p - 2/75*p**5 + 1/840*p**8 + 1/50*p**6 + 0 - 4/525*p**7. Factor y(j).
2*j*(j - 1)**4/5
Let c(o) be the second derivative of o**7/525 - o**6/150 + o**5/150 - o**2/2 - o. Let z(b) be the first derivative of c(b). Factor z(n).
2*n**2*(n - 1)**2/5
Let l(x) be the third derivative of -x**4/24 - 4*x**3/3 + 2*x**2. Let a be l(-12). Find m such that -4/3 + 7/3*m**2 + a*m = 0.
-2, 2/7
Suppose -k + 9 - 4 = 0. Factor -2/3*b**3 - 16/3*b**4 - 10/3*b**k + 0 + 0*b + 4/3*b**2.
-2*b**2*(b + 1)**2*(5*b - 2)/3
Let k(x) be the third derivative of -x**5/150 + x**4/30 + 6*x**2. Factor k(l).
-2*l*(l - 2)/5
Let g(n) be the first derivative of 7/360*n**6 + 1/12*n**4 + 0*n**2 + 0*n + 1/3*n**3 - 3/40*n**5 - 1. Let a(l) be the third derivative of g(l). Factor a(b).
(b - 1)*(7*b - 2)
Let t(z) = z**2 - 19*z + 4. Let j be t(19). Let x be (-2)/(5 - j - 2). Determine i, given that 0 + 2/5*i + 2/5*i**x = 0.
-1, 0
Let o(x) be the second derivative of 0 + 2*x - 16/7*x**3 + 2/7*x**4 - 1/70*x**5 + 64/7*x**2. Find v such that o(v) = 0.
4
Let p = 41/9 - 20/9. Let x = -12/29 - -94/87. Determine h, given that 0 + 16/3*h**3 + p*h**4 + 11/3*h**2 + x*h = 0.
-1, -2/7, 0
Let u(n) be the first derivative of 2*n**3/21 - 9*n**2/7 + 16*n/7 + 48. Factor u(a).
2*(a - 8)*(a - 1)/7
Let y be -1*1*(-5)/15. Let y*g**2 + 0 - 1/3*g**3 + 2/3*g = 0. What is g?
-1, 0, 2
Let h(w) = -11*w**4 - w**3 + 5*w**2 - 5. Let z(s) = 5*s**4 + s**3 - 2*s**2 + 2. Let i(x) = 2*h(x) + 5*z(x). Suppose i(v) = 0. What is v?
-1, 0
Let m = -3 - -5. Find n such that 0*n - n**m - 2*n - 2*n**2 - n**3 + 6*n**2 = 0.
0, 1, 2
Let z(h) = -6*h. Let s be z(-2). Suppose -s = -3*b, 0*v = -3*v - 3*b + 27. Solve 3*j + 0*j**2 - v*j**2 + 4 - 1 - 1 = 0.
-2/5, 1
Let v(h) = 3*h**4 + 4*h**2. Let o(y) = y**4 + 2*y**2. Let n(c) = -7*o(c) + 3*v(c). Factor n(x).
2*x**2*(x - 1)*(x + 1)
Solve 0 + 0*t**2 + 2/7*t**3 - 2/7*t = 0 for t.
-1, 0, 1
Suppose 4*n + 5*v - 2*v = 0, 4*n - v = 0. Suppose -1/3*l**2 + 0*l + n - 1/3*l**4 - 2/3*l**3 = 0. Calculate l.
-1, 0
Suppose -3*y + 3 + 3 = 0. Suppose 4*x - 16 = -2*o, x - o - 2 = -y*x. Factor -2/3*s + 4/3*s**3 + 4/3*s**x - 2/3*s**4 - 2/3*s**5 - 2/3.
-2*(s - 1)**2*(s + 1)**3/3
Let y be (-1 + 5)/((2 - -22)/4). Solve y*p**3 - 2/3*p**2 - 2/3*p + 2/3 = 0.
-1, 1
Suppose 17*s**5 - 8 - 8*s - 46*s**3 - 18*s**2 - 3*s**5 + 76*s**2 + 0 - 10*s**4 = 0. What is s?
-2, -2/7, 1
Let y(w) be the third derivative of -w**8/1008 + w**7/210 - w**6/180 - 21*w**2. Factor y(v).
-v**3*(v - 2)*(v - 1)/3
Let b be 494/(-114) - 2/(2/(-5)). Factor -4/9 + b*z - 2/9*z**2.
-2*(z - 2)*(z - 1)/9
Suppose -4*u + w + 10 = -2*u, -4*w - 28 = -5*u. Let j(o) be the second derivative of 0 - 1/11*o**2 - 3*o - 1/110*o**5 - 1/11*o**3 - 1/22*o**u. Factor j(h).
-2*(h + 1)**3/11
Suppose t = -0*t + 3. Let d(i) be the third derivative of 0 + 1/120*i**6 + 1/24*i**4 + i**2 + 0*i - 1/30*i**5 + 0*i**t. Solve d(u) = 0.
0, 1
Let d(t) be the second derivative of -3*t + 1/60*t**5 - 1/18*t**3 + 0*t**2 + 0 + 0*t**4. Factor d(p).
p*(p - 1)*(p + 1)/3
Let j(t) be the third derivative of -3*t**2 + 0*t**5 + 1/630*t**7 + 0 + 0*t**3 + 0*t**4 + 1/1008*t**8 + 0*t**6 + 0*t. Factor j(u).
u**4*(u + 1)/3
Let u = -70 + 72. Suppose 2/3*q**4 - 2/9*q**u + 0 - 8/9*q**3 + 4/9*q = 0. Calculate q.
-2/3, 0, 1
Suppose -q + 10 = 2*q - 4*d, 4*d - 4 = -4*q. Factor -1 - 5*t + 0*t + 3*t + 4*t - t**q.
-(t - 1)**2
Let v(h) be the second derivative of h**5/60 - h**4/36 - h**3/18 + h**2/6 + 4*h. Determine w so that v(w) = 0.
-1, 1
Factor -3/8*t**3 - 1/4*t**2 + 7/4*t**4 + 0*t + 0.
t**2*(2*t - 1)*(7*t + 2)/8
Let s(y) be the second derivative of -y**6/90 + y**5/60 + 2*y. What is u in s(u) = 0?
0, 1
Factor -1/6*c**2 - 1/6*c + 1/3.
-(c - 1)*(c + 2)/6
Let a be ((-24)/36)/((-4)/4182). Let o = a + -3471/5. Determine d, given that 8/5*d**2 - 28/5*d**3 + o*d - 4/5 - 4/5*d**4 + 14/5*d**5 = 0.
-1, 2/7, 1
Let u(i) = 5*i**4 + 15*i**3 - 5*i**2 - 15*i - 10. Let f(g) = -g**3 + g**2 + g + 1. Let q(x) = 5*f(x) + u(x). Factor q(h).
5*(h - 1)*(h + 1)**3
Suppose -14/5*q**3 + 4/5 + 2/5*q**2 - 6/5*q**4 + 14/5*q = 0. Calculate q.
-2, -1, -1/3, 1
Let x(s) be the second derivative of -1/30*s**3 - 5*s - 1/60*s**4 + 1/100*s**5 + 0 + 1/10*s**2. Factor x(f).
(f - 1)**2*(f + 1)/5
Let o be (48/20)/(2/10). Suppose -4*x + 8*x - o = 0. Solve -r - 8 + 6*r**2 - 7*r + 13*r**3 - 5*r**x + 2*r**4 = 0.
-2, -1, 1
Suppose -2*g = 9*g - 5*g. Determine w so that -2/13*w**3 + 4/13*w + g + 2/13*w**2 = 0.
-1, 0, 2
Let o(a) be the second derivative of a**4/3 + 16*a**3/3 + 32*a**2 - 9*a. Let o(l) = 0. What is l?
-4
Let a(j) be the third derivative of -j**6/40 - j**5/10 - j**4/8 - 10*j**2. Suppose a(y) = 0. Calculate y.
-1, 0
Factor 1/4*l**2 + 0 - l.
l*(l - 4)/4
Let l(o) be the first derivative of 0*o - 1/9*o**3 - 4 + 1/3*o**2. Factor l(z).
-z*(z - 2)/3
Let j be (-2)/(-5) + 40/25. What is b in 3*b**3 - 6*b + 2*b - 2*b**5 + j*b + b**3 = 0?
-1, 0, 1
Let o(s) = -3*s**2 + 52*s - 127. Let d(m) = m**2 + m - 1. Let u(b) = -2*d(b) + o(b). Factor u(l).
-5*(l - 5)**2
Find h, given that 0 + 3/7*h**2 + 3/7*h**3 - 6/7*h = 0.
-2, 0, 1
Suppose -2*p + p + 2*t = 5, 3*p = 4*t - 7. Factor -2/3 + 2/3*v**p + 2/3*v**2 - 2/3*v.
2*(v - 1)*(v + 1)**2/3
Factor 8*l**3 - 4*l**4 - 36*l**2 - 3 + 32*l**2 + 3.
-4*l**2*(l - 1)**2
Let p(d) be the third derivative of -d**11/1829520 + d**9/166320 - d**7/27720 - d**5/30 - 2*d**2. Let r(h) be the third derivative of p(h). Factor r(z).
-2*z*(z - 1)**2*(z + 1)**2/11
Suppose -z = -0*z + 3, -m = -2*z - 10. Factor -2 - x**2 - 3 + 5 - 4 - m*x.
-(x + 2)**2
Let r(p) be the second derivative of p**9/15120 - p**8/3360 + p**6/360 - p**5/120 + p**4/12 + 3*p. Let f(z) be the third derivative of r(z). Factor f(x).
(x - 1)**3*(x + 1)
Let o(s) = 5*s**4 + 8*s**3 + 2*s**2 - 2*s - 1. Let q(n) = n**3 + n**2 + n + 1. Let r(i) = 5*o(i) + 5*q(i). Factor r(l).
5*l*(l + 1)**2*(5*l - 1)
Let c(v) be the second derivative of v**6/15 - 3*v**5/10 + 4*v**3/3 - 13*v. Solve c(t) = 0.
-1, 0, 2
Suppose -9 + 1 = -4*q - 5*x, 2*q - 4 = 2*x. What is f in 19/4*f**3 - 1 - 25/4*f**q - 7/4*f**4 + 1/4*f**5 + 4*f = 0?
1, 2
Let -44*m - 16*m**2 + 4*m**3 + 18 + 32*m**2 + 5 + 1 = 0. Calculate m.
-6, 1
Let r(g) = -3*g - 9. Let d be r(-5). Factor 4*f + 6*f**2 - 3*f - 3*f**2 - 4*f - d.
3*(f - 2)*(f + 1)
Let u(g) be the third derivative of 1/36*g**4 - 2*g**2 + 0 + 0*g**3 + 0*g + 1/180*g**5. Factor u(y).
y*(y + 2)/3
Suppose -t + 5*t - 14 = 2*y, -13 = -y - 2*t. Suppose g + y*p = -12, -4*g + 29 = -5*p - 8. Factor 1/5*n**g + 3/5*n**2 + 0 + 2/5*n.
n*(n + 1)*(n + 2)/5
Suppose 0 + 0*o + 16/11*o**2 + 2/11*o**4 + 12/11*o**3 = 0. What is o?
-4, -2, 0
Let 4 + 36*g - 7 + 3 + 4*g**3 + 24*g**2 = 0. What is g?
-3, 0
Let c(y) = -y**2 - 5*y + 8. Let z be c(-6). Factor u**2 + 0*u**2 - 3*u**z + 4*u.
-2*u*(u - 2)
Let g(b) be the third derivative of -b**7/420 + b**6/240 + 3*b**5/40 + 11*b**4/48 + b**3/3 - 4*b**2. Let g(w) = 0. What is w?
-1, 4
Factor 1/4 + 1/4*r**4 - 1/2*r**2 + 0*r**3 + 0*r.
(r - 1)**2*(r + 1)**2/4
Factor o + 7*o**2 - 7*o - 10*o**2.
-3*o*(o + 2)
Suppose -6*h + 3*h + 6 = 3*z, -2*h = -3*z + 1. Suppose -4