 o(i).
-i*(i - 1)**3*(i + 1)/5
Factor -186*s**2 + s**5 + 8*s**3 + 0*s**3 + 5*s**4 + 190*s**2.
s**2*(s + 1)*(s + 2)**2
Let b = 256 - 254. Solve 0*t + 0 + 2/9*t**5 - 2/9*t**4 + 2/9*t**b - 2/9*t**3 = 0 for t.
-1, 0, 1
Let x(b) be the second derivative of -1/110*b**5 - 2*b + 1/33*b**3 + 0 + 0*b**4 + 0*b**2. Factor x(w).
-2*w*(w - 1)*(w + 1)/11
Let t(q) = 66*q**2 - 27. Let f(u) = -5*u**2 + 2. Suppose 3*k - 108 = -k. Let m(s) = k*f(s) + 2*t(s). Factor m(c).
-3*c**2
Let j(n) be the first derivative of -147*n**5/5 - 21*n**4 - 4*n**3 - 20. Find u, given that j(u) = 0.
-2/7, 0
Let p(j) = j**3 - j**2. Let d be p(2). Suppose 7*y**d - 1 - 8*y**4 + 4*y**2 - 2*y**2 = 0. What is y?
-1, 1
Let i(l) be the second derivative of l**5/210 + l**4/84 - 2*l**3/21 - 9*l**2/2 - 2*l. Let a(v) be the first derivative of i(v). Factor a(x).
2*(x - 1)*(x + 2)/7
Let c be ((-3)/9)/((-4)/48). Let 0 + 3/2*r**c + 1/2*r**2 - 3/2*r**3 + 0*r - 1/2*r**5 = 0. Calculate r.
0, 1
Let d(j) be the first derivative of -j**3/12 + j**2/8 + 12. Let d(r) = 0. What is r?
0, 1
Let k(z) = -5*z**3 + 2*z**2 + 4*z - 6. Let s(o) = -4*o**3 + o**2 + 4*o - 5. Let i = 0 + -6. Let d(g) = i*s(g) + 5*k(g). Find r, given that d(r) = 0.
0, 2
Let o(f) be the second derivative of f**6/540 + 2*f**2 - 3*f. Let u(p) be the first derivative of o(p). Factor u(z).
2*z**3/9
Factor 0*u - 12*u**2 - 5*u**4 + u - 5*u + 13*u**4 + 4*u**3 + 4.
4*(u - 1)*(u + 1)**2*(2*u - 1)
Let u = 7 + -5. Let s(v) be the second derivative of -1/7*v**3 + 2/35*v**5 - 1/7*v**u + 0 + 0*v**4 - v. Factor s(h).
2*(h - 1)*(2*h + 1)**2/7
Let o(u) be the first derivative of u**6/9 + 4*u**5/15 - u**4/3 - 16*u**3/9 - 7*u**2/3 - 4*u/3 - 7. Factor o(h).
2*(h - 2)*(h + 1)**4/3
Let i be (-4)/6*2/(-3). Let n(y) be the first derivative of 1/15*y**5 + 1/3*y**4 + 0*y + 0*y**2 + 2 + i*y**3. Factor n(l).
l**2*(l + 2)**2/3
Let h(y) be the first derivative of 3*y**6/2 + 51*y**5/5 + 111*y**4/4 + 39*y**3 + 30*y**2 + 12*y - 7. Solve h(p) = 0.
-2, -1, -2/3
Let j(v) be the third derivative of v**8/420 + 2*v**7/525 - v**6/75 - 37*v**2. Let j(y) = 0. What is y?
-2, 0, 1
Find o such that -4/13*o + 2/13*o**3 + 0 + 2/13*o**2 = 0.
-2, 0, 1
Let d(b) = 2*b**2 + 5*b - 3. Let p be d(2). Let w be 3/(-4)*(-5)/p. Factor 0*z + w*z**4 - 1/2*z**3 + 0 + 1/4*z**2.
z**2*(z - 1)**2/4
Factor 2/9*n - 4/9*n**2 + 2/9*n**3 + 0.
2*n*(n - 1)**2/9
Let i = -1 - 20. Let d be ((-108)/i)/2 + -2. Determine y so that 0 + 2/7*y**3 + 2/7*y - d*y**2 = 0.
0, 1
Let d be (37 - (-1 + 1)) + -1. Solve 32*o + o**3 - 4*o**4 - 13*o**3 - d*o - 12*o**2 = 0 for o.
-1, 0
Let h(m) be the third derivative of m**8/168 + m**7/105 - m**6/6 + 4*m**5/15 + 9*m**2 - 2*m. Factor h(x).
2*x**2*(x - 2)*(x - 1)*(x + 4)
Let x be (-3)/(8 + 56/(-4)). Determine g, given that 1/2*g**4 + 1/2*g + 1 - x*g**3 - 3/2*g**2 = 0.
-1, 1, 2
Let x(k) be the third derivative of k**8/160 - 9*k**7/560 + k**6/120 + 7*k**3/6 + 3*k**2. Let i(m) be the first derivative of x(m). Let i(j) = 0. Calculate j.
0, 2/7, 1
Solve 0 - 1/7*k**4 - 4/7*k + 1/7*k**3 + 4/7*k**2 = 0 for k.
-2, 0, 1, 2
Let w(p) be the third derivative of 5*p**2 - 7/360*p**6 + 0*p + 7/72*p**4 + 1/9*p**3 + 0 - 1/90*p**5. Find c such that w(c) = 0.
-1, -2/7, 1
Let a(d) = 5*d**4 + 3*d**3 - 7*d**2 - 6*d + 5. Let z(b) = -4*b**4 - 3*b**3 + 6*b**2 + 5*b - 4. Let r(y) = -2*a(y) - 3*z(y). What is h in r(h) = 0?
-2, -1, 1/2, 1
Suppose u - 3 = -2*u. Let i(f) be the first derivative of u + f**3 - 1/2*f**2 + 0*f - 3/4*f**4 + 1/5*f**5. Factor i(h).
h*(h - 1)**3
Suppose 4*q - 3 = 3*x - 0, x - q = 0. Factor -m - x*m**4 + m**2 - m**4 + 3*m**4 + m**3 + 0*m**4.
-m*(m - 1)**2*(m + 1)
Let f(l) = l**3 - 4*l**2 - 5*l. Let j be f(5). Suppose -3*k + 7*k = j. Factor -u**3 + k*u + 0 - 2/3*u**2 + 5/3*u**4.
u**2*(u - 1)*(5*u + 2)/3
Suppose -4*y = y + 5, -4*y - 4 = -d. Suppose d = s + 4*s - 10. Suppose 4/5*n + 2/5*n**s + 2/5 = 0. Calculate n.
-1
Let w = 14 + -11. Suppose o - c + 3 = 0, c = -w*o + 2*c - 3. Factor o - 1/2*l + 1/4*l**4 + 0*l**3 - 3/4*l**2.
l*(l - 2)*(l + 1)**2/4
Let b(m) be the third derivative of m**7/280 - m**6/160 - m**5/40 - 13*m**2. Suppose b(f) = 0. Calculate f.
-1, 0, 2
Let t(i) be the second derivative of 0 + 1/18*i**4 + 3*i + 0*i**2 + 2/15*i**3 - 31/75*i**5 - 7/75*i**6. Let t(f) = 0. Calculate f.
-3, -2/7, 0, 1/3
Let u be 23/5 - 6/(-15). Let f(l) be the first derivative of u*l**2 + 1 + 1/2*l**4 - 8/3*l**3 - 4*l. Determine r so that f(r) = 0.
1, 2
Suppose -q - 6 = 10. Let g(p) = 2*p**2 - 5*p - 4. Let v(c) = -10*c**2 + 26*c + 20. Let k(t) = q*g(t) - 3*v(t). Factor k(b).
-2*(b - 2)*(b + 1)
Let o = -3 - -9. Let y(v) be the second derivative of -1/27*v**4 + 1/9*v**2 + 0*v**5 + 1/135*v**o - 3*v + 0*v**3 + 0. Factor y(j).
2*(j - 1)**2*(j + 1)**2/9
Let c be (2/(-3))/((-4)/(-30)). Let w(h) = -3*h**3 + 11*h**2 - 8. Let j(m) = -2*m**3 + 10*m**2 - 8. Let t(l) = c*j(l) + 4*w(l). Factor t(x).
-2*(x - 1)*(x + 2)**2
Factor 3*x**2 + x**2 - 276*x**5 - 4*x**4 + 280*x**5 - 4*x**3.
4*x**2*(x - 1)**2*(x + 1)
Let s(k) be the second derivative of -k + 1/30*k**3 + 1/150*k**6 - 1/20*k**4 - 1/100*k**5 + 1/5*k**2 + 0. Factor s(c).
(c - 2)*(c - 1)*(c + 1)**2/5
Let x = -108 + 325/3. Find q, given that -4/3*q**3 + x + 4/3*q + q**2 - 4/3*q**4 = 0.
-1, -1/2, 1
Solve -d**3 - 208*d**2 + 4*d + 208*d**2 = 0.
-2, 0, 2
Let a = 1989/4690 + 3/670. Factor 6/7*q + a*q**2 + 3/7.
3*(q + 1)**2/7
Let i(g) = 2*g - 1. Let c be i(-6). Let b(s) = -8*s**2 - 2*s - 8. Let w(u) = -17*u**2 - 3*u - 16. Let a(j) = c*b(j) + 6*w(j). Let a(f) = 0. What is f?
-2
Let l(c) be the first derivative of c**4/10 - 8*c**3/15 - 3*c**2/5 + 36*c/5 - 5. Solve l(m) = 0.
-2, 3
Let k(o) = -o**2 - 5*o + 4. Let r be k(-6). Let b = 4 + r. Find u, given that -2/3*u**4 + 0*u - 2/3*u**3 + 0 + 0*u**b = 0.
-1, 0
Let j(x) = x**2 + 3*x + 2. Let r(b) = -b**3 + 5*b**2 + 6*b - 4. Let o be r(6). Let u be j(o). Let -u*s - s**2 + s**4 + 6*s = 0. What is s?
-1, 0, 1
Solve 11/2*b**4 + 1/2*b**5 + 21*b**3 + 32*b**2 + 0 + 16*b = 0.
-4, -2, -1, 0
Let c(x) = x**5 + x**4 - x**2 - 1. Let b(j) be the first derivative of -j**6/2 - 14*j**5/5 - 5*j**4 - 11*j**3/3 - 2. Let n(a) = -2*b(a) + 2*c(a). Factor n(q).
2*(q + 1)**4*(4*q - 1)
Let b(x) be the second derivative of x**5/90 - x**2 - 2*x. Let h(z) be the first derivative of b(z). Determine i, given that h(i) = 0.
0
Let f(z) = -18*z**4 - 60*z**3 - 77*z**2 - 31*z - 1. Let x(y) = 9*y**4 + 30*y**3 + 39*y**2 + 15*y. Let d(l) = 3*f(l) + 5*x(l). Factor d(v).
-3*(v + 1)**3*(3*v + 1)
Let j(t) be the first derivative of -t**6/45 - t**5/15 - t**4/18 + 4*t + 3. Let f(d) be the first derivative of j(d). Factor f(s).
-2*s**2*(s + 1)**2/3
Suppose 5*m + 2*h - 8 = 10, 13 = 2*m - 5*h. Suppose -m*t + 0*t = -308. Find b, given that -t*b**3 + 22*b**2 + 10*b**2 + 3*b + 49*b**4 - 7*b = 0.
0, 2/7, 1
Let y be 0 + 4/(-3 + 4). Let p be ((-24)/(-9))/(y/6). Factor -1/2*d**2 + 0*d + d**3 - 1/2*d**p + 0.
-d**2*(d - 1)**2/2
Let a(s) = 20*s**3 - 5*s**2 - 25*s + 25. Let l(n) = 5*n**3 - n**2 - 6*n + 6. Let g(p) = 6*a(p) - 25*l(p). Factor g(w).
-5*w**2*(w + 1)
Suppose t - 1 = 3. Factor 14*b**4 - 12*b**4 - 2*b**3 - 4*b + t*b.
2*b**3*(b - 1)
Let w(c) = 6*c + c - 4*c - 2*c - 2. Let l be w(5). Suppose -8*y + 3*y + l*y + 2*y**2 + y - y**3 = 0. What is y?
0, 1
Factor 9/2*h**3 + 0*h - 3*h**4 + 0 + 1/2*h**5 + 0*h**2.
h**3*(h - 3)**2/2
Suppose -4*f + 3*f = 0. Let h be 3 + (3 + -3 - f). Suppose -6/5*p**5 + 0 - 2*p**h + 0*p + 2/5*p**2 + 14/5*p**4 = 0. Calculate p.
0, 1/3, 1
Let h(o) = -5*o**2 - 140*o - 495. Let c(y) = 2*y**2 + 70*y + 248. Let u(a) = 5*c(a) + 3*h(a). Find f, given that u(f) = 0.
-7
Let 17/3*b**2 + 64/3 + 80/3*b + 1/3*b**3 = 0. Calculate b.
-8, -1
Suppose 2*l - l - 4 = 0. Let 4*k**3 + 1/2*k**5 + 5/2*k**l + 2*k**2 + 0*k + 0 = 0. What is k?
-2, -1, 0
Determine s, given that 6/7*s**3 - 36/7*s**2 + 0 - 96/7*s = 0.
-2, 0, 8
Let h(l) = 3*l - 15. Let s be h(5). Let m(k) be the third derivative of -1/240*k**5 + 1/12*k**3 + s + 0*k + 2*k**2 - 1/96*k**4. Find a, given that m(a) = 0.
-2, 1
Let j(m) be the first derivative of -4*m**3/9 + 4*m**2/3 - 6. Factor j(b).
-4*b*(b - 2)/3
Let m(h) = -3*h - 6. Let a be m(-2). Let y(w) be the third derivative of 1/24*w**5 + 1/3*w**3 + a*w + 0 + 5/48*w**6 + 3*w**2 - 1/3*w**4. Factor y(o).
(o + 1)*(5*o - 2)**2/2
Let b(a) be the first derivative of a**8/