(x - 1)**2*(x + 1)
Factor -3/5*m**4 - 3/5*m**5 + 0 + 0*m + 3/5*m**3 + 3/5*m**2.
-3*m**2*(m - 1)*(m + 1)**2/5
Find t such that 4*t**4 - 4*t**3 + 2*t**2 + 3*t**4 + 3*t**2 - 6*t**4 - 2*t = 0.
0, 1, 2
Let s be 64/(-260) + 8/20. Let y = 31/52 + s. Let 3/2*a**2 + y*a - 3/4*a**3 - 3/2 = 0. What is a?
-1, 1, 2
Let w(l) be the second derivative of -l**8/26880 + l**7/5040 - l**6/2880 + l**4/4 + 2*l. Let j(g) be the third derivative of w(g). Factor j(z).
-z*(z - 1)**2/4
Let z(u) = -u**2 - 3. Let f(l) = l + 1. Let w(t) = 2*f(t) + z(t). Find i, given that w(i) = 0.
1
Let -4/5*j - 1/5 - 1/5*j**4 - 6/5*j**2 - 4/5*j**3 = 0. What is j?
-1
Suppose 0*m + m = r - 4, 2*r = -4*m + 20. What is w in 3*w**2 + 6*w + 0*w + 162*w**3 + r*w**4 - 177*w**3 = 0?
-1/2, 0, 1, 2
Let f(c) be the third derivative of -4/315*c**7 + 2/15*c**6 - 3/5*c**5 + 2*c**2 + 3/2*c**4 + 0*c + 0 - 9/4*c**3. What is a in f(a) = 0?
3/2
Let n(t) = -2*t**2 - 14*t - 10. Let r be n(-6). Find o, given that 2/7*o + 0 + 2/7*o**r = 0.
-1, 0
Let v(z) be the third derivative of z**5/120 - 5*z**4/6 + 100*z**3/3 - 38*z**2. Factor v(y).
(y - 20)**2/2
Let z(q) be the first derivative of -1/42*q**7 + 0*q**4 + 0*q**5 + 0*q**3 - 2 + 1/30*q**6 + 0*q**2 + 2*q. Let s(t) be the first derivative of z(t). Factor s(d).
-d**4*(d - 1)
Let w = 5 - -1. Determine j so that 8 + 19 - 18*j - 3*j**2 + w*j**2 = 0.
3
Find k, given that 0*k + 6/7*k**4 + 3/7*k**5 + 0*k**2 + 3/7*k**3 + 0 = 0.
-1, 0
Let i(o) be the first derivative of -o**5/5 + o**4/4 + o**3/3 - o**2/2 + 3. Determine z, given that i(z) = 0.
-1, 0, 1
Let u(z) be the third derivative of z**5/30 - 5*z**4/3 + 19*z**3/3 - 70*z**2. Determine f, given that u(f) = 0.
1, 19
Let j(s) be the first derivative of 9*s**4/16 - s**3/2 - 9*s**2/2 + 6*s - 7. Factor j(b).
3*(b - 2)*(b + 2)*(3*b - 2)/4
Let h(s) be the second derivative of -3*s**5/20 + 7*s**4/12 - 2*s**2 - 35*s. Factor h(r).
-(r - 2)*(r - 1)*(3*r + 2)
Let d = 13 + -13. Let x(j) be the second derivative of 0*j**4 + d + 0*j**3 + 1/15*j**6 + 0*j**2 - j + 1/10*j**5. Find t, given that x(t) = 0.
-1, 0
Let t(g) be the second derivative of -g**6/15 + g**5/10 + g**4/3 + g. Suppose t(d) = 0. Calculate d.
-1, 0, 2
Let o be 6 + 3*(-4)/6. Suppose 0 = -h + 3*h - o. Factor -4*k**2 + 1 + 3*k**h + 0*k**2.
-(k - 1)*(k + 1)
Factor 1/3*y**4 + 4/3*y**3 + 0 + 4/3*y**2 + 0*y.
y**2*(y + 2)**2/3
Suppose 4/7*t**4 + 8/7*t**3 + 4/7*t**2 + 0 + 0*t = 0. Calculate t.
-1, 0
Let v(j) = 10*j**3 - 6*j**2 - 10*j + 8. Let r(f) = -f**3 + f**2 + f. Let p(w) = -2*r(w) + v(w). Let p(y) = 0. Calculate y.
-1, 2/3, 1
Let z(u) = -u**3 - 5*u**2 - u - 7. Let h be z(-5). Let x be 0/(-3)*h/2. Factor 1/4*c**2 + 1/4*c**3 + x - 1/4*c**4 - 1/4*c.
-c*(c - 1)**2*(c + 1)/4
Let v(c) = -c**2. Let s(f) be the third derivative of 0 - 2/3*f**3 + 0*f + 1/3*f**4 - 11/60*f**5 + 1/120*f**6 - 3*f**2. Let d(j) = -s(j) + 6*v(j). Factor d(h).
-(h - 2)**2*(h - 1)
Let o be (-5 + 3)/((-1)/2). Factor -10*y**2 - 6*y - 4 + 10*y**o + 18*y**3 - 12*y + 0*y**4 + 4*y**4.
2*(y - 1)*(y + 1)**2*(7*y + 2)
Suppose 6 = 5*c - 4. Let v(a) be the first derivative of -a**3 + 1/2*a**4 + 0*a - a**c - 4 + 3/5*a**5. Factor v(q).
q*(q - 1)*(q + 1)*(3*q + 2)
Suppose 2*i = o - 6*o, -4*i + 18 = o. Let c(f) be the first derivative of -1 - 1/10*f**6 + 0*f + 0*f**2 - 3/5*f**i - 6/5*f**4 - 4/5*f**3. Solve c(u) = 0.
-2, -1, 0
Let d(n) be the second derivative of -n**7/105 + 8*n**6/75 - 21*n**5/50 + 7*n**4/15 + 4*n**3/3 - 24*n**2/5 - n. Solve d(c) = 0 for c.
-1, 2, 3
Suppose -4*p = 3*n - 22, 4*n - 3*p = -0*p - 4. Suppose c = -n*c. Let 2/9*y**3 - 4/9*y + c + 2/9*y**2 = 0. Calculate y.
-2, 0, 1
Solve 1/3*g**2 - 2/3 - 1/3*g = 0.
-1, 2
Let 18*s**2 + 3/4*s**4 + 6*s**3 + 24*s + 12 = 0. Calculate s.
-2
Find v, given that -2*v**2 - 3*v**2 + 0 - 6 + 7*v**2 + 4*v = 0.
-3, 1
Let u(b) = -b**3 - 6*b**2 + b + 8. Suppose -i - 6 = -0*i. Let n be u(i). Suppose c**n - c**2 - 3*c**2 + c**2 + 2*c**3 = 0. What is c?
0, 1
Factor 2*a**2 + 2 + a - a**2 - 2.
a*(a + 1)
Suppose -2/3*i**4 + 0 - 10/3*i**2 + 8/3*i**3 + 4/3*i = 0. Calculate i.
0, 1, 2
Suppose 3*n + a = 8, -4*n = -n + 3*a - 12. Find z, given that 0 + 8/5*z**n - 2/5*z = 0.
0, 1/4
Let z = 6 - 12. Suppose -2*m = 5*k - 6, 2*m - 3 = 2*k - 11. Let q(j) = 2*j**2 - 3*j. Let o(x) = x**2 - x. Let a(p) = k*q(p) + z*o(p). Let a(c) = 0. What is c?
0
Let w(i) be the second derivative of 0 - 2/9*i**2 + 0*i**4 - 1/9*i**3 + 2*i + 1/90*i**5. Factor w(u).
2*(u - 2)*(u + 1)**2/9
Suppose -3*w - 1 + 34 = 0. Factor -3*s**2 - 3 - w*s + 0 + 5*s.
-3*(s + 1)**2
Let k be 2*((-2)/1)/(-8). Suppose 4*p - y = 12, -5*y = -3*p - 2*p. Suppose k*z**3 + 0*z - 1/2*z**p + 0 + 0*z**2 = 0. What is z?
0, 1
Let c(i) be the third derivative of -i**5/12 - 25*i**4/12 - 125*i**3/6 - 15*i**2. Determine p, given that c(p) = 0.
-5
Let g = 146 + -1751/12. Let q(i) be the third derivative of -4/15*i**5 - 1/12*i**4 - g*i**6 + 0*i + 0 - 2*i**2 + 2/3*i**3. Factor q(l).
-2*(l + 1)**2*(5*l - 2)
Let r be (51/(-85))/(6/(-4)). Let x(m) be the first derivative of 1 - 2/15*m**3 + 0*m**2 + r*m. Suppose x(p) = 0. Calculate p.
-1, 1
Let b = -3/20 + 19/60. Let o(a) be the second derivative of 5/9*a**3 - 2*a + 0 - 2/3*a**2 - b*a**4. Factor o(f).
-2*(f - 1)*(3*f - 2)/3
Let t(n) be the first derivative of 0*n + 1/5*n**3 + 3/10*n**2 - 5. Suppose t(m) = 0. What is m?
-1, 0
Let f(j) be the third derivative of j**5/75 + 4*j**4/5 + 96*j**3/5 - 33*j**2. Factor f(r).
4*(r + 12)**2/5
Let b = 7/78 - -1/13. Let i(s) be the first derivative of 5/2*s**2 + 5/2*s**4 + s**5 + 3 + 10/3*s**3 + b*s**6 + s. Suppose i(z) = 0. What is z?
-1
Let p(n) be the first derivative of n**4/4 + 13*n**3/3 + 6*n**2 - 66. Factor p(u).
u*(u + 1)*(u + 12)
Suppose 0 = 3*l - 3, -l + 16 = 2*c + 3*c. Let i(a) be the second derivative of 0 - 4*a - 1/6*a**c - 1/24*a**4 + 0*a**2. Factor i(k).
-k*(k + 2)/2
Determine o, given that 1/6*o**2 - 1/3 - 1/6*o = 0.
-1, 2
Suppose -3*l - 2 = 5*f, -l = -3*f - 9 - 9. What is z in z**3 - 3*z**2 - 6*z**3 - 2*z**3 + l*z - 2*z**3 = 0?
-1, 0, 2/3
Let p(a) = -a**3 + 1. Let m(g) = -2*g**5 + 16*g**3 - 2*g - 12. Let w(d) = m(d) + 12*p(d). Let w(i) = 0. What is i?
-1, 0, 1
Let b(o) be the third derivative of 1/360*o**5 - 3*o**2 + 0*o + 1/36*o**4 + 1/9*o**3 + 0. Let b(f) = 0. Calculate f.
-2
Let a be ((-1)/3)/((-1)/117). Let l = a - 115/3. Suppose -1/6*s**2 + l*s - 2/3 = 0. What is s?
2
Let c(x) = -x**2 + x - 1. Let h(f) = -12*f**3 - 45*f**2 - 66*f - 6. Let t(p) = -6*c(p) - h(p). Factor t(b).
3*(b + 2)**2*(4*b + 1)
Let q = 8 + -6. Suppose -n - 4*n - 10 = 5*t, -3*n - 16 = -q*t. Factor 2/7*k**3 + 2/7 + 6/7*k + 6/7*k**t.
2*(k + 1)**3/7
Factor -2/7*m**4 + 0*m**2 + 0*m - 2/7*m**3 + 0.
-2*m**3*(m + 1)/7
Solve 1/2*n + 0 + 3/4*n**3 - 5/4*n**2 = 0.
0, 2/3, 1
Let v(t) = 1. Let g(j) = 4*j**2 - 8*j + 8. Let f(q) = -g(q) + 4*v(q). Find y such that f(y) = 0.
1
Let y(n) be the first derivative of n**4 - 16*n**3 + 96*n**2 - 256*n - 18. Determine m, given that y(m) = 0.
4
Let b(n) be the first derivative of -n**4/8 - n**3/6 + n**2/2 + 9. Factor b(v).
-v*(v - 1)*(v + 2)/2
Let o(l) be the second derivative of -l**6/6 + l**5/4 + 5*l**4/12 - 5*l**3/6 + 25*l. Factor o(b).
-5*b*(b - 1)**2*(b + 1)
Let r(c) be the third derivative of 0*c**3 - 8*c**2 - 1/60*c**5 + 0*c**6 + 0 + 0*c + 0*c**4 + 1/210*c**7. Suppose r(k) = 0. What is k?
-1, 0, 1
Let d(a) be the first derivative of a**4/26 - 2*a**3/13 + 3*a**2/13 - 2*a/13 + 5. Factor d(o).
2*(o - 1)**3/13
Let o(d) be the first derivative of -d**3/3 + 3*d**2/2 - 2*d - 3. Factor o(p).
-(p - 2)*(p - 1)
Let q(k) = -5*k**2 - 18*k - 10. Let v(n) = -60*n**2 - 215*n - 120. Let u(p) = 35*q(p) - 3*v(p). Factor u(w).
5*(w + 1)*(w + 2)
Suppose -6 = -4*l + 6. Let d(x) be the first derivative of 2/27*x**l - 1/9*x**2 - 2 + 0*x. Suppose d(p) = 0. What is p?
0, 1
Suppose -z = -4*j + 6, -5*j + 4*z = -4*j - 9. Let c(h) = 2*h**2. Let o be c(j). Factor -4/3 - 2/3*n**2 + o*n.
-2*(n - 2)*(n - 1)/3
Let u(p) = -9*p - 108. Let t be u(-12). Determine s so that 1/2*s + t + 1/2*s**2 = 0.
-1, 0
Let y = 201/10 - 197/10. Suppose -2/5*i**3 + 2/5*i - y + 2/5*i**2 = 0. What is i?
-1, 1
Let m = -377/2 + 189. Let l(i) be the second derivative of -m*i**4 + 3*i - 5/3*i**3 - 2*i**2 + 1/15*i**6 + 1/10*i**5 + 0. Factor l(q).
2*(q - 2)*(q + 1)**3
Let d(n) = -n**3 + n - 1. Let f(c) = c**4 - c