ve of 2*s**5/55 + 7*s**4/11 + 40*s**3/11 + 50*s**2/11 - 250*s/11 - 7. Factor o(i).
2*(i - 1)*(i + 5)**3/11
Suppose 17*l - 23*l + 2*l**2 + 9*l - 5*l**2 = 0. What is l?
0, 1
Let x = -30 + 32. Suppose -2*k - 3*k + 4*b = -22, -5*b = x*k + 11. What is j in 1/2*j**3 - 3/2*j**k + 1/2*j**4 - 1 - 5/2*j = 0?
-1, 2
Suppose 27*y + 20 - 74 = 0. Determine h so that -1 - h**4 + 1/3*h - 2/3*h**3 + 2*h**y + 1/3*h**5 = 0.
-1, 1, 3
Let n(m) = -14*m**2 - 23*m - 1. Suppose -3*i + 0*i - 25 = 5*w, 0 = -4*w - 20. Let y(p) = 23 + i*p - 23 - 8*p - 5*p**2. Let j(u) = 4*n(u) - 11*y(u). Factor j(t).
-(t + 2)**2
Let b(u) be the first derivative of -1/2*u**2 - 1/4*u**4 - 2/3*u**3 + 0*u + 2. Let b(c) = 0. What is c?
-1, 0
Suppose 2/5*w - 2/5*w**5 - 4/5*w**2 + 4/5*w**4 + 0*w**3 + 0 = 0. What is w?
-1, 0, 1
Let s(k) be the second derivative of -6*k - 1/3*k**4 - 4/3*k**3 + 0 - 2*k**2. Factor s(m).
-4*(m + 1)**2
Let w(m) be the second derivative of -m**6/480 - m**5/80 + 5*m**3/6 + 6*m. Let q(t) be the second derivative of w(t). Factor q(u).
-3*u*(u + 2)/4
Let z(y) be the third derivative of -y**6/420 - y**5/105 - y**4/84 + 2*y**2. Factor z(d).
-2*d*(d + 1)**2/7
Let 4/7*z - 6/7*z**2 + 0 + 2/7*z**3 = 0. Calculate z.
0, 1, 2
Suppose i - s - 2 = 4*s, -2*s = -4*i + 8. Let z(t) be the first derivative of 2/5*t**5 + 2*t - 2 - 4*t**i - 2*t**4 + 4*t**3. Factor z(u).
2*(u - 1)**4
Let b = 12 + -10. Suppose 2*d = 4*r + b, -r + 3*d - 18 = -d. Factor -14*o - 3*o**r + 7*o**3 + 14*o + 5*o**3.
3*o**2*(4*o - 1)
Factor 0 + 1/3*l + 1/2*l**2 - 1/2*l**3 - 1/3*l**4.
-l*(l - 1)*(l + 2)*(2*l + 1)/6
Let r be (-4)/24 - (-6)/(108/75). Factor 1/3*x**r + 0*x + 1/3*x**2 + 0 + 2/3*x**3.
x**2*(x + 1)**2/3
Let u = -213/5 + 43. Let l(z) be the first derivative of 4/21*z**3 + u*z**5 + 0*z**2 + 0*z + 9/14*z**4 + 2. Let l(t) = 0. Calculate t.
-1, -2/7, 0
Let b(p) be the second derivative of p**6/20 - 3*p**4/8 + p**3/2 - 7*p. Let b(n) = 0. What is n?
-2, 0, 1
Let p(n) be the second derivative of n**8/336 + n**7/210 - n**6/120 - n**5/60 - n**2/2 - 2*n. Let v(b) be the first derivative of p(b). Factor v(y).
y**2*(y - 1)*(y + 1)**2
Let t(z) = -3*z**5 + 3*z**4 + 3*z**3 + z**2 - 4*z + 4. Let a(j) = -24*j**5 + 24*j**4 + 24*j**3 + 9*j**2 - 33*j + 33. Let h(f) = 4*a(f) - 33*t(f). Factor h(i).
3*i**2*(i - 1)**2*(i + 1)
Determine f, given that -2/7*f**2 - 2*f**3 - 8/7 + 16/7*f + 10/7*f**4 - 2/7*f**5 = 0.
-1, 1, 2
Let -7/3*i**2 + 1/3*i**3 + 0 + 0*i = 0. Calculate i.
0, 7
Factor -2/7 + 0*y + 2/7*y**2.
2*(y - 1)*(y + 1)/7
Suppose 5*p - 5 = -t + 1, -3*t = -p + 14. Let n be (p/(-3))/(24/(-84)). Suppose 3*u**3 + 1/3*u**5 - 5/3*u**4 + 2/3*u - n*u**2 + 0 = 0. What is u?
0, 1, 2
Let j = -8/15 - -31/30. Determine o, given that -j*o**2 + 0*o + 0 - 1/2*o**3 = 0.
-1, 0
Find l, given that -2*l**3 - 4*l**2 - 4*l**2 + 10*l**2 = 0.
0, 1
Let u(r) be the third derivative of r**5/90 + 31*r**2. Let u(n) = 0. Calculate n.
0
What is a in 5/3*a - 4/3*a**2 + 1/3*a**3 - 2/3 = 0?
1, 2
Let y(a) be the second derivative of a**7/315 + 4*a**6/225 + a**5/30 + a**4/45 + a. Solve y(n) = 0 for n.
-2, -1, 0
Let g(x) be the second derivative of -1/3*x**4 - 1/8*x**5 + 0 - 3*x + 0*x**2 - 1/60*x**6 - 1/3*x**3. Determine j, given that g(j) = 0.
-2, -1, 0
Let j(r) be the third derivative of r**6/300 + r**5/30 + 2*r**4/15 + 4*r**3/15 - 20*r**2. Factor j(h).
2*(h + 1)*(h + 2)**2/5
Let i(d) be the second derivative of -5*d - 1/10*d**5 - 1/6*d**4 + 1/3*d**3 + 1/15*d**6 + 0 + 0*d**2. Factor i(j).
2*j*(j - 1)**2*(j + 1)
What is s in 0*s + 0 + 2/3*s**3 + 2/3*s**2 = 0?
-1, 0
Let c(b) be the third derivative of -b**9/181440 - b**8/60480 - b**5/15 + 3*b**2. Let a(z) be the third derivative of c(z). Factor a(w).
-w**2*(w + 1)/3
Let p(r) be the first derivative of -r**5/80 - r**4/16 - r**2/2 + 1. Let q(c) be the second derivative of p(c). Solve q(j) = 0.
-2, 0
Let s(y) be the first derivative of 3*y**5/80 - 3*y**4/16 + y**3/4 - y + 3. Let a(u) be the first derivative of s(u). Factor a(l).
3*l*(l - 2)*(l - 1)/4
Let r(c) be the third derivative of -c**8/5040 - c**7/840 - c**6/360 - c**5/360 - c**4/8 + 4*c**2. Let z(q) be the second derivative of r(q). Factor z(w).
-(w + 1)**2*(4*w + 1)/3
Suppose -9 = -0*o + o. Let z be (12/36)/((-5)/o). Factor 0 + 0*u - z*u**2 + 3/5*u**3.
3*u**2*(u - 1)/5
Let r = 12725/27 - 471. Let g = 26/27 - r. Find j, given that g*j**2 + 2/3 + 4/3*j = 0.
-1
Let r = 109/7 + -373/28. Factor 0 - 3/2*p**2 + r*p**3 + 0*p - 3/4*p**4.
-3*p**2*(p - 2)*(p - 1)/4
Let m(f) = -6*f**3 + 33*f**2 - 105*f + 78. Let t(d) = d**3 - 1. Let j(g) = -m(g) - 3*t(g). Find l, given that j(l) = 0.
1, 5
Suppose -3*t = -0*t + 3*k + 3, t = k + 7. Factor -2*x**2 + 0*x**2 - 4 + 3*x**t - 6*x + 18*x - 9*x**2.
(x - 2)*(x - 1)*(3*x - 2)
Suppose -2/5*t**2 + 0 - 4/5*t**3 + 0*t - 2/5*t**4 = 0. Calculate t.
-1, 0
Let s(x) be the first derivative of 2*x**5/95 - 2*x**3/57 - 16. Solve s(d) = 0 for d.
-1, 0, 1
What is m in 7 - 3*m - 1 - 4*m**2 + m**2 = 0?
-2, 1
Find p, given that -4/5*p**4 + 0 - 14/5*p**3 - 4/5*p - 14/5*p**2 = 0.
-2, -1, -1/2, 0
Let h(t) be the third derivative of t**5/15 + t**4/6 - 4*t**3/3 - 18*t**2. Factor h(v).
4*(v - 1)*(v + 2)
Let v(h) be the third derivative of 2*h**7/105 + h**6/30 - h**5/3 + h**4/2 + 25*h**2. Factor v(k).
4*k*(k - 1)**2*(k + 3)
Factor 0 + 1/2*u**2 + 1/4*u**5 + 0*u**3 - 1/2*u**4 - 1/4*u.
u*(u - 1)**3*(u + 1)/4
Let l(j) be the second derivative of 1/90*j**6 - 2*j + 1/126*j**7 + 0 + 0*j**4 + 0*j**5 + 0*j**2 + 0*j**3. Find f, given that l(f) = 0.
-1, 0
Let q be (-1)/1*(-12)/2. Let z(d) be the second derivative of 0*d**2 + 0*d**4 - d - 1/45*d**q + 0*d**3 + 1/30*d**5 + 0. Determine i so that z(i) = 0.
0, 1
Factor -98*n + 4*n**4 - 46*n - 80*n + 24*n**3 - 12*n**2 - 192.
4*(n - 3)*(n + 1)*(n + 4)**2
Let i(v) be the first derivative of -5/11*v**2 + 4/11*v - 2/11*v**3 + 4. Find b such that i(b) = 0.
-2, 1/3
Suppose -d + 4*p = 1 + 1, -7 = -d - 5*p. Let w be (d/(-4))/(7/(-4)). What is j in 18/7*j**3 + 8/7*j**5 + 0 + 22/7*j**4 - w*j + 2/7*j**2 = 0?
-1, 0, 1/4
Let d(y) = 4*y**4 + 2*y**3 - 2*y**2 - 2*y + 2. Let t(l) = -l**4 - l**3 - l**2 - l + 1. Let k(z) = 2*d(z) - 4*t(z). Factor k(j).
4*j**3*(3*j + 2)
Let p(n) be the second derivative of n**4/60 - n**3/15 - 3*n**2/10 + n. Factor p(k).
(k - 3)*(k + 1)/5
Let c(l) be the second derivative of -l**5/5 - l**4/3 + 2*l**3/3 + 2*l**2 + 5*l. Let c(v) = 0. What is v?
-1, 1
Let f(z) = z**2 - 4*z + 2. Let n be f(4). Factor j**n - 5*j**2 + 0*j**3 + 10*j**3 - 8*j**4 + 2*j**5.
2*j**2*(j - 2)*(j - 1)**2
Let i(y) be the first derivative of y**6/33 + 2*y**5/55 - 6. Factor i(x).
2*x**4*(x + 1)/11
Suppose 4*j = 3*j + 3*v + 8, -5*j + 40 = -4*v. Suppose 0 = -2*w - 0*w + j. Factor -30*r**3 + 18*r - 4 - 14*r**4 - 11*r**w - 6*r + 11*r**2.
-(r + 1)**2*(5*r - 2)**2
Let o(d) be the second derivative of -d**6/1620 + d**5/270 - d**3/6 + 4*d. Let w(p) be the second derivative of o(p). Factor w(m).
-2*m*(m - 2)/9
Let o(j) be the first derivative of -2*j**3/3 + j**2 + 4*j - 11. Factor o(s).
-2*(s - 2)*(s + 1)
Suppose s - 10 = -2*s - 4*z, z = 1. Let b(u) be the third derivative of 0 + 0*u**3 - 1/30*u**5 + 0*u + 1/36*u**4 - 1/315*u**7 + 1/60*u**6 + 3*u**s. Factor b(q).
-2*q*(q - 1)**3/3
Let n(r) be the third derivative of -r**6/1140 + 2*r**5/285 - r**4/228 - 2*r**3/19 + 33*r**2. Factor n(l).
-2*(l - 3)*(l - 2)*(l + 1)/19
Let p(c) = -1. Let h(t) = 2*t - 3. Let l(o) = h(o) + 2*p(o). Let y be l(4). Factor 0*w**3 + 2*w**2 - 4*w**4 + 6*w**4 - 4*w**y.
2*w**2*(w - 1)**2
Let h(y) be the first derivative of -2*y**5/3 - 3*y**4 - 122*y**3/45 + 12*y**2/5 - 8*y/15 - 11. Factor h(u).
-2*(u + 2)**2*(5*u - 1)**2/15
Suppose -b + 4 = 8, 3*r - 4 = b. Let v be (0 + -1 + 1)/2. Factor -2/9*f**4 + v*f**2 + 0*f**3 + 0 + r*f.
-2*f**4/9
Let u be ((-1)/(-2))/((-11)/(-132)). Let j be u*(-4 - 37/(-9)). Factor -j*w**4 - 2/3*w + 2/3*w**2 + 2/3*w**3 + 0.
-2*w*(w - 1)**2*(w + 1)/3
Let w(r) be the first derivative of r**7/420 + r**6/240 - r**5/120 - r**4/48 - r**2 - 3. Let h(o) be the second derivative of w(o). Factor h(t).
t*(t - 1)*(t + 1)**2/2
Suppose x = 4*x - 6. Factor 0 + 5 + 1 + 4*u**2 - u**x + 9*u.
3*(u + 1)*(u + 2)
Let s(o) = -o**3 - 9*o**2 + 11*o + 10. Let u(p) = -p**3 - 10*p**2 - 9*p - 10. Let d be u(-9). Let g be s(d). Let g + 2/9*b**2 + 2/9*b = 0. Calculate b.
-1, 0
Let g(h) be