u.
3*u**2*(u - 1)*(u + 1)**2/5
Factor 2/11*h**2 + 6/11*h**3 + 6/11*h**4 + 2/11*h**5 + 0*h + 0.
2*h**2*(h + 1)**3/11
Let l(u) = u**5 - 6*u**4 - 7*u**3 - 6*u + 6. Let b(d) = d**5 - 5*d**4 - 6*d**3 - 5*d + 5. Let a(k) = 6*b(k) - 5*l(k). Factor a(i).
i**3*(i - 1)*(i + 1)
Suppose 4/5*t + 2/5*t**2 + 2/5 = 0. What is t?
-1
Let f(s) = -s**4 - 2*s**3 + 2*s**2 + 2*s - 3. Let z(v) = -2*v**4 - 5*v**3 + 4*v**2 + 5*v - 7. Let o(t) = 5*f(t) - 2*z(t). Factor o(r).
-(r - 1)**2*(r + 1)**2
Suppose -2*f + 5 = -f - l, -2*f + 3*l = -10. Let 0*r**2 + 0*r + 0 - 1/3*r**3 - 1/3*r**f + 2/3*r**4 = 0. What is r?
0, 1
Let z(x) be the third derivative of -x**8/168 + x**6/60 - x**2. Factor z(b).
-2*b**3*(b - 1)*(b + 1)
Let v(z) be the third derivative of z**5/60 + 5*z**4/24 + z**3 - 22*z**2. Determine c, given that v(c) = 0.
-3, -2
Let k(d) be the third derivative of d**7/4620 + d**6/1980 - d**5/660 - d**4/132 + 2*d**3/3 - 3*d**2. Let c(p) be the first derivative of k(p). Factor c(m).
2*(m - 1)*(m + 1)**2/11
Let v be 2/24 - (-13)/(273/14). Factor -3 + 3*b - v*b**2.
-3*(b - 2)**2/4
Suppose -5*o + 10 = -5*y, -4*o + 2*y - 6*y = -8. Factor -h - 1/2*h**o - 1/2.
-(h + 1)**2/2
Let p(b) be the second derivative of 3*b**2 - 1/2*b**4 - 4/3*b**3 + 2/5*b**5 + 0 - 6*b. Factor p(x).
2*(x - 1)*(x + 1)*(4*x - 3)
Suppose 0 = 4*i - 9*i. Let x(m) be the third derivative of -1/6*m**3 + 0*m + i - 1/60*m**5 + 1/12*m**4 - m**2. Factor x(g).
-(g - 1)**2
Factor -3526 - 1547*b - 156*b**2 - 481*b - 4*b**3 - 5262.
-4*(b + 13)**3
Let a(g) = -8*g**3 + 4*g**2 + 4*g + 6. Let r(l) be the first derivative of -l**4/4 + l**2/2 + l + 2. Let b(o) = a(o) - 6*r(o). Factor b(i).
-2*i*(i - 1)**2
Suppose -1 = 3*s + 11, 0 = -5*m + 4*s + 16. Let y(x) = -x**2 - 11*x - 8. Let t be y(-10). Determine j so that 2/5*j - 2/5*j**t + m = 0.
0, 1
Let c(q) = -4*q**3 + 6*q**2 - 10. Let p(j) = -j**2 + 1. Let s(f) = -c(f) + 6*p(f). Factor s(b).
4*(b - 2)**2*(b + 1)
Let y(i) be the third derivative of -2*i**7/105 - 2*i**6/15 + i**5/5 + 3*i**4 + 4*i**2. Find z, given that y(z) = 0.
-3, 0, 2
Let n = -5 + 9. Suppose 2*i + 18 = 3*i - 4*z, 0 = 3*i + n*z + 10. Factor k**i + 2*k - k - 2*k**2.
-k*(k - 1)
Let a be (90/48)/(6/8). Factor 3/2*b**3 - b - a*b**2 + 0.
b*(b - 2)*(3*b + 1)/2
Let t(b) be the first derivative of 4*b**7/189 + 7*b**6/135 + b**5/45 - b**4/54 + 2*b + 1. Let j(f) be the first derivative of t(f). Factor j(y).
2*y**2*(y + 1)**2*(4*y - 1)/9
Let z be 0 + 0 - (23 - 26). Determine y, given that -4/5 + 2*y + 2/5*y**z - 8/5*y**2 = 0.
1, 2
Let g(r) be the third derivative of -r**8/336 + r**7/84 - r**6/80 - r**5/120 + r**4/48 + 26*r**2. Find j, given that g(j) = 0.
-1/2, 0, 1
Let n(u) be the second derivative of u**7/126 + u**6/45 - u**5/30 - 2*u**4/9 - 7*u**3/18 - u**2/3 - 16*u. What is p in n(p) = 0?
-1, 2
Let d = -37/3 + 113/9. Let k(j) be the first derivative of -2/15*j**5 - 3 + 8/27*j**3 + 0*j**2 + 0*j - d*j**4. Factor k(l).
-2*l**2*(l + 2)*(3*l - 2)/9
Let a(u) be the third derivative of -u**5/12 - 5*u**4/12 - 5*u**3/6 - 18*u**2. Let a(q) = 0. What is q?
-1
Suppose -16*k + 14 - 14 = 0. Let u(m) be the second derivative of -3/14*m**2 + k*m**3 + 0*m**5 - 1/70*m**6 + m + 1/14*m**4 + 0. Factor u(d).
-3*(d - 1)**2*(d + 1)**2/7
Suppose -4*w + 8 = -0*w. Determine t so that 3 - 3*t - 6*t + 2*t + 3*t + t**w = 0.
1, 3
Let u be 3 + (-3)/(1 + 0). Factor -3*o**4 - 3*o**2 - o**4 + 2*o**2 + u*o**4 - 5*o**3.
-o**2*(o + 1)*(4*o + 1)
Let -9*c**2 + 204*c + c**2 - 8*c**2 - 12*c**2 - 56 = 0. Calculate c.
2/7, 7
What is x in -6/7*x**3 + 3/7*x**4 + 0*x**2 + 6/7*x - 3/7 = 0?
-1, 1
Let w(v) = v**3 + 10*v**2 - 10*v + 14. Let q = 8 + -19. Let c be w(q). Determine a so that -2*a + 8 + 15*a - a + a**c + 6*a**2 = 0.
-2
Let p(d) = 2*d. Let m(y) = y**2 + 3*y. Let n(x) = 2*m(x) - 5*p(x). Factor n(k).
2*k*(k - 2)
Let s(x) = -22*x**5 - 2*x**4 - 12*x**3 + 12*x**2 + 18*x - 10. Let g(b) = 7*b**5 + b**4 + 4*b**3 - 4*b**2 - 6*b + 3. Let z(q) = -16*g(q) - 5*s(q). Factor z(m).
-2*(m - 1)*(m + 1)**4
Let n(v) = -3*v - 16. Let m be n(-6). Factor -2/3*k**m - 4/3*k - 2/3.
-2*(k + 1)**2/3
Let z(f) be the second derivative of -f**7/2520 - f**6/360 + f**4/3 + 8*f. Let c(r) be the third derivative of z(r). Solve c(t) = 0.
-2, 0
Let o(u) = u**4 + 3*u**3 + 3*u**2 - 2*u - 3. Let g(w) = -w**4 - 3*w**3 - 3*w**2 + w + 2. Let r(d) = 3*g(d) + 2*o(d). Factor r(m).
-m*(m + 1)**3
Let m = 111 + -227. Let n = m - -582/5. Let n*x + 0 + 2/5*x**2 = 0. Calculate x.
-1, 0
Factor -6*w**2 + 11 + 0*w**3 - 8 + 3*w**4 + 0*w**3.
3*(w - 1)**2*(w + 1)**2
Let f(y) be the first derivative of -y**5/180 - y**4/48 - y**3/36 + y**2/2 - 2. Let p(m) be the second derivative of f(m). Factor p(g).
-(g + 1)*(2*g + 1)/6
Let m be (-34)/(-72) + (-4)/18. Let i(v) = v**3 + 3*v**2 - 5*v + 1. Let s be i(-4). Factor 1/4*b**s + 1/4*b - 1/2*b**3 + 1/2*b**2 - 1/4*b**4 - m.
(b - 1)**3*(b + 1)**2/4
Let x(n) = -11*n**4 - 17*n**3 - n**2 - 5*n. Let q(k) = -6*k**4 - 9*k**3 - 3*k. Let b = 11 - 6. Let i(j) = b*q(j) - 3*x(j). Find a, given that i(a) = 0.
-1, 0
Let a(l) = -11*l**3 - 4*l**2 - l + 4. Let o(q) = q**3 + q**2 + q - 1. Let j(f) = a(f) + 6*o(f). Suppose j(n) = 0. What is n?
-1, 2/5, 1
Factor -2/7*m**5 + 0*m + 0 - 8/7*m**4 + 0*m**2 - 6/7*m**3.
-2*m**3*(m + 1)*(m + 3)/7
Let h(a) be the third derivative of 0*a - 1/210*a**5 - 2/21*a**3 + 0 - 1/28*a**4 - 2*a**2. Solve h(t) = 0.
-2, -1
Let f(u) be the second derivative of u**5/2 - 13*u**4/6 + 4*u**3/3 + 4*u**2 - 4*u. Factor f(c).
2*(c - 2)*(c - 1)*(5*c + 2)
Let h(t) be the second derivative of 1/105*t**7 + 4/25*t**5 - 2/15*t**4 - 1/15*t**6 + 5*t + 0*t**3 + 0*t**2 + 0. Find g, given that h(g) = 0.
0, 1, 2
Let y(z) = z**3 + 10*z**2 + 7*z - 10. Let n be y(-9). Determine v, given that -18*v - 20*v**2 - 22*v - 4*v**3 - 16 + n*v = 0.
-2, -1
Factor 9*a**3 - 25*a**3 + 4*a**3 + 8*a**3 + 4*a.
-4*a*(a - 1)*(a + 1)
Let l(v) be the third derivative of 1/270*v**5 - 2*v**2 - 1/54*v**4 + 0*v + 1/27*v**3 + 0. Let l(j) = 0. What is j?
1
Determine v, given that -46 + 11 - 280*v - 28*v**2 - 168*v**2 - 29 = 0.
-8/7, -2/7
Let l(m) be the first derivative of -m**4/4 + 19*m**3/21 - 4*m**2/7 - 4*m/7 + 16. Solve l(z) = 0 for z.
-2/7, 1, 2
Solve b - 9 + 9 - 1 + 0 + b**2 - b**3 = 0 for b.
-1, 1
Let y(u) be the first derivative of -u**9/9072 + u**8/1260 - u**7/630 - 4*u**3/3 - 3. Let g(m) be the third derivative of y(m). Factor g(o).
-o**3*(o - 2)**2/3
Suppose -y = 3*y - 12. Suppose -2*k + 5*n = -19, -3*n + 5 = 14. Factor 6*j**5 - 2*j**4 - y*j**5 - k*j**5 + j**3.
j**3*(j - 1)**2
Let y(a) = -a. Let m(t) = -t**2 - 3*t + 1. Let h(n) = -n**3 + 2*n**2 + 2*n - 3. Let d be h(2). Let b(v) = d*m(v) - 3*y(v). Suppose b(o) = 0. Calculate o.
-1, 1
Let n be 0/(4/14 + 54/(-42)). Solve -2/7*k**2 + n*k + 0 = 0.
0
Let 0*k + 0 - 2*k**2 - 2/3*k**3 = 0. Calculate k.
-3, 0
Let h be 12 + -12 + (-66)/4. Let w = h - -17. Factor 0 + 0*p - 1/2*p**4 + p**3 - w*p**2.
-p**2*(p - 1)**2/2
Let z = 9 - 6. Suppose 2*u + 3*m = z*u - 5, -5*u + 8 = 2*m. Solve d**3 - 2*d - 2*d**3 + 5*d**2 - u*d**2 = 0 for d.
0, 1, 2
Let q = 6 + -4. Let d(g) be the first derivative of 0*g - q + 2/3*g**3 - 1/8*g**4 - g**2. Factor d(s).
-s*(s - 2)**2/2
Let c(s) = 5*s**2 - 25*s + 10. Let a(h) = -6*h**2 + 24*h - 9. Let u(o) = 4*a(o) + 3*c(o). Determine n so that u(n) = 0.
1/3, 2
What is q in 11*q**2 + 6 - 3*q**2 - 7*q**2 + q**2 + 8*q = 0?
-3, -1
Suppose -4*o + 0*o = -8. Let t(z) = -8*z**2 + z + 3 + 2*z**o + 0*z**2 + 8*z**3. Let c(f) = -7*f**3 + 5*f**2 - 2. Let y(d) = 6*c(d) + 4*t(d). Factor y(w).
-2*w*(w - 1)*(5*w + 2)
Let x(r) = -52*r**2 + 188*r. Let u(m) be the second derivative of -2*m**4/3 + 29*m**3/6 - 8*m. Let z(v) = 32*u(v) - 5*x(v). Factor z(q).
4*q*(q - 3)
Suppose 7*i = -74 + 102. Let a(x) be the first derivative of 2 + 1/6*x**i - 2/3*x**3 - 2/3*x + x**2. Solve a(f) = 0 for f.
1
Let g(n) be the first derivative of n**5/40 - n**3/12 - 2*n + 3. Let u(c) be the first derivative of g(c). Determine s so that u(s) = 0.
-1, 0, 1
Let p(l) be the second derivative of l**7/21 + 2*l**6/15 + 47*l. Find n, given that p(n) = 0.
-2, 0
Let z be (-6)/(-2) - (12 - 13). Determine h, given that -3*h**z + 6*h - 2*h**5 + 3*h**3 + 6*h**3 - h**5 + 15*h**2 = 0.
-1, 0, 2
Suppose -24 = 7*n - 10*n. Let w be n/6 + (-8)/8. Let -1/3*s**2 + 0 + w*s = 0. Calculate s.
0, 1
Let z(i) be the