 -s*w**2 - 2*w + 5*w**2 + x + 0.
(w - 1)**2
Find m such that -5 - 3*m - m**2 - 3*m + 0*m**2 = 0.
-5, -1
Factor -1/3*n**5 + 0*n + 0*n**4 + 1/3*n**3 + 0 + 0*n**2.
-n**3*(n - 1)*(n + 1)/3
Let f(k) = 7*k**2 + 4*k - 3. Let p be f(-1). Determine z, given that 1/5*z**2 + p*z + 0 + 1/5*z**3 = 0.
-1, 0
Let x(b) be the third derivative of 0*b - 1/420*b**7 + 0 + 1/480*b**6 + 1/80*b**5 + 2*b**2 - 1/96*b**4 - 1/24*b**3. Let x(m) = 0. What is m?
-1, -1/2, 1
Let d(v) be the second derivative of v**6/40 + v**5/4 + 7*v**4/8 + 3*v**3/2 + 5*v**2/2 - 5*v. Let f(l) be the first derivative of d(l). Factor f(w).
3*(w + 1)**2*(w + 3)
Let n = 70 - 348/5. Let p be 3/((-45)/39) + 3. Factor -2/5*b + p*b**4 + n*b**3 - 2/5*b**2 + 0.
2*b*(b - 1)*(b + 1)**2/5
Determine l so that 338/3 + 2/3*l**2 - 52/3*l = 0.
13
Let i = -24 + 26. Let d = -251/28 - -37/4. Solve 0*j**i + 0 - 2/7*j**4 + 0*j + d*j**3 = 0 for j.
0, 1
Let s(g) = 3*g**3 + 2*g**2 + g - 2. Let k be s(1). Let w(c) be the first derivative of 0*c**3 + 0*c - 1/20*c**4 + 0*c**2 - k - 1/25*c**5. Solve w(a) = 0.
-1, 0
Let a(r) be the second derivative of -r**6/30 + r**5/10 - r**4/12 + r. Suppose a(m) = 0. What is m?
0, 1
Determine b so that 4*b**3 - 11*b + 7*b + 0*b**3 = 0.
-1, 0, 1
Let -24*g + 3 + 21*g**3 + 29*g**2 + 2 - 1 = 0. Calculate g.
-2, 2/7, 1/3
Let g be (3 + 38/(-14))/((-8)/(-14)). Factor -g + 1/4*w + 1/4*w**2.
(w - 1)*(w + 2)/4
Let k(u) be the second derivative of -u**9/22680 - u**8/10080 + u**7/3780 + u**6/1080 - u**4/3 - 4*u. Let n(v) be the third derivative of k(v). Factor n(w).
-2*w*(w - 1)*(w + 1)**2/3
Let i(o) be the first derivative of 3*o**5/5 + 3*o**4/2 - o**3 - 3*o**2 - 10. Factor i(r).
3*r*(r - 1)*(r + 1)*(r + 2)
Let t(d) be the first derivative of -d**6/160 - d**5/48 - d**4/48 - 3*d**2/2 - 2. Let h(l) be the second derivative of t(l). Factor h(y).
-y*(y + 1)*(3*y + 2)/4
Determine b so that -b**2 + 2/3 + 5/3*b = 0.
-1/3, 2
Let u = 203/2214 - 3/41. Let l(h) be the second derivative of 0 + 2/27*h**3 - 1/9*h**2 + 2*h - u*h**4. Factor l(d).
-2*(d - 1)**2/9
Let l = -530 + 11132/21. Let b(y) be the third derivative of 0 - 1/120*y**5 - y**2 + 0*y**3 + l*y**8 + 0*y + 1/20*y**6 - 4/35*y**7 + 0*y**4. Factor b(j).
j**2*(4*j - 1)**3/2
Let s(l) = 2*l**2 - l - 1. Let p be s(3). Suppose 4*j + 0*m + 2 = -2*m, 2*j - p = 2*m. Determine d, given that d + d**j + 2 - 2 + 0*d = 0.
-1, 0
Let f be -1 - 12 - (5 - 6). Let i be -2 + (1 - 28/f). Factor 2/3*a**2 + 0 - i*a.
2*a*(a - 2)/3
Let r be -1 + 0 + (-39)/(-13). Factor -6*p**3 + 0 + 3/2*p**4 + 9/2*p**r + 0*p.
3*p**2*(p - 3)*(p - 1)/2
Let l(q) = -6*q**3 - 2*q**2 - 6*q - 5. Let b = -3 + 6. Let z(c) = b*c**3 - 1 - 4*c**3 + c - 2*c. Let n(m) = -l(m) + 5*z(m). Solve n(d) = 0.
-1, 0
Let h(o) = -o**3 + 4*o**2 + 7*o - 7. Let x(g) = g**3 - 6*g**2 + 5*g + 5. Let v be x(5). Let w be h(v). Factor -2/9*n - 4/9*n**2 + 0 - 2/9*n**w.
-2*n*(n + 1)**2/9
Let g(a) be the third derivative of -a**6/120 + a**5/30 + 31*a**2. Let g(n) = 0. What is n?
0, 2
Let j = 3 + 1. Let y(h) be the first derivative of -89/2*h**j + 16/7*h - 2 + 668/21*h**3 - 25/3*h**6 - 12*h**2 + 216/7*h**5. Determine o so that y(o) = 0.
2/7, 2/5, 1
Let i = 9 - 6. Let j be (i + 8/(-3))/1. Factor -1/3*h**2 + 0*h + j.
-(h - 1)*(h + 1)/3
Suppose 5*i + 6*a - 8 = 2*a, -5*a = -2*i + 23. Suppose 0 = -3*g + 2 + i. What is c in -5*c**2 + 5*c**2 - 2*c**5 + g*c**3 = 0?
-1, 0, 1
Let d = -15 + 6. Let g(p) = -22*p - 30*p + 79*p**3 + 5*p**2 + 12 + 6*p**2. Let k(s) = 159*s**3 + 21*s**2 - 105*s + 24. Let z(w) = d*g(w) + 4*k(w). Factor z(v).
-3*(v + 1)*(5*v - 2)**2
Let j(k) be the second derivative of -k**6/285 - k**5/190 + k**4/114 + k**3/57 - 25*k. Let j(g) = 0. What is g?
-1, 0, 1
Let o(y) be the first derivative of -y**7/140 + 7*y**6/180 - y**5/12 + y**4/12 + y**3 - 7. Let u(r) be the third derivative of o(r). Solve u(b) = 0 for b.
1/3, 1
Let u(c) be the first derivative of -4*c**6/9 - 4*c**5/15 + 7*c**4/3 + 28*c**3/9 - 2*c**2/3 - 8*c/3 + 1. Let u(n) = 0. What is n?
-1, 1/2, 2
Suppose -8*r + 40 = -0*r. Let h(m) be the second derivative of -3/8*m**2 - 15/16*m**4 + 39/80*m**r + 7/8*m**3 - 1/10*m**6 + 0 - 2*m. Factor h(a).
-3*(a - 1)**3*(4*a - 1)/4
Let t(z) = -z**2 - z - 1. Suppose -5*x - 1 = 4. Let o(l) = 6*l - 4 - 4*l + l - 12*l**2. Let p(j) = x*o(j) + 3*t(j). Determine h so that p(h) = 0.
1/3
Let c(o) = o**2 - 1. Let k(p) = -p**3 + 7*p**2 - 6. Let r(y) = -6*c(y) + k(y). Factor r(g).
-g**2*(g - 1)
Let n = 5 - 10. Let r(o) = 4*o**2 + o + 5. Let u(x) = -2*x**2 - 2. Let f(t) = n*u(t) - 2*r(t). Determine d, given that f(d) = 0.
0, 1
Let n(d) = -11*d**5 - 15*d**4 + 10*d**3 + 60*d**2 + 34*d. Let f(k) = 21*k**5 + 30*k**4 - 20*k**3 - 120*k**2 - 69*k. Let m(a) = 6*f(a) + 11*n(a). Factor m(c).
5*c*(c - 2)*(c + 1)*(c + 2)**2
Factor 2/9*r + 2/9*r**5 - 8/9*r**4 - 8/9*r**2 + 0 + 4/3*r**3.
2*r*(r - 1)**4/9
Factor 2/15*z - 2/15*z**3 - 8/15 + 8/15*z**2.
-2*(z - 4)*(z - 1)*(z + 1)/15
Factor -25*z - 55*z + 320 + 5*z**2 + 0*z**2.
5*(z - 8)**2
Let b(a) = 2*a - 4. Let r be b(6). Let h = 12 - r. Let 2*u**2 - 2*u - 5*u**4 + u**h + 2*u**3 + 2*u**4 + 0*u**4 = 0. Calculate u.
-1, 0, 1
Solve 5/3*l**2 - 8/9*l - 4/9 + l**3 = 0 for l.
-2, -1/3, 2/3
Let o be 5 + (-2 + 6)/(-2). Suppose -5 = -5*z + 10. Let -6*q - o*q**2 - 2*q**3 + 5*q**z - 1 + 1 = 0. Calculate q.
-1, 0, 2
Let x(u) be the second derivative of 1/8*u**3 + 0 - 3/80*u**5 - 1/120*u**6 + 1/4*u**2 - 1/48*u**4 - 6*u. Solve x(k) = 0 for k.
-2, -1, 1
Let d be (-3)/(-2)*30/9. Determine h so that -d*h**5 + 4*h**5 - 2*h**3 + h**3 - 2*h**4 = 0.
-1, 0
Suppose -2*l = k + l - 15, 4*k - 24 = -3*l. Suppose 0 = k*b - 5*x + 1, 2*x - 19 = -5*b - 0*b. Factor b*v**3 - 2 + 9*v**2 + 0*v**3 - 10.
3*(v - 1)*(v + 2)**2
What is p in -p**2 + 1 - 2*p**2 + 2*p**4 + 1 - p**2 = 0?
-1, 1
Factor 8/7*c**2 - 8/7 + 4/7*c**3 - 4/7*c.
4*(c - 1)*(c + 1)*(c + 2)/7
Let f(a) be the third derivative of -2/3*a**3 + 0 + 0*a + 1/3*a**6 + 1/84*a**8 - 2/3*a**5 - 2/21*a**7 + 5/6*a**4 + 8*a**2. Determine r, given that f(r) = 0.
1
Let d(q) = 10*q**3 - 28*q**2 + 50*q - 20. Let b(z) = -4*z**3 + 11*z**2 - 20*z + 8. Let v(t) = 12*b(t) + 5*d(t). Factor v(l).
2*(l - 2)*(l - 1)**2
Factor -3/5 + 3/5*x**2 + 0*x.
3*(x - 1)*(x + 1)/5
Let o = -1 + 8. Let m = 10 - o. Factor -m*q**3 + 3*q**2 - 2*q**2 - q**2 + 3*q**2.
-3*q**2*(q - 1)
Suppose -u**5 + 3*u + 111*u**4 + 6*u**3 + 8*u**2 - 111*u**4 = 0. What is u?
-1, 0, 3
Let a = -27 + 31. Suppose -18*n - 15*n**2 + 25/2*n**3 - a = 0. Calculate n.
-2/5, 2
Let r be 448/(-84)*(-3)/4. Let 0*u**2 - 4/5*u + 2/5*u**r + 4/5*u**3 - 2/5 = 0. Calculate u.
-1, 1
Suppose 6*q = 2*q + 12. Solve 0*z**3 + 0*z**q - 2*z**4 + 24*z + 4*z**2 - 5*z**3 - 18 - 3*z**3 = 0.
-3, 1
Let w = 47 + -45. Determine i, given that 2/3*i**w + 0 + 2/9*i**4 - 2/3*i**3 - 2/9*i = 0.
0, 1
Determine l, given that 2/5*l**3 - 2/5*l - 2*l**2 + 2 = 0.
-1, 1, 5
Let x(s) be the second derivative of -s**5/30 - s**4/6 - 3*s**2/2 + s. Let d(j) be the first derivative of x(j). Let d(a) = 0. What is a?
-2, 0
Let s(j) be the second derivative of -2*j**6/15 + 7*j**5/5 - 6*j**4 + 40*j**3/3 - 16*j**2 - 4*j. Factor s(t).
-4*(t - 2)**3*(t - 1)
Let k(u) be the second derivative of 0*u**2 - 4*u + 0 + 1/90*u**5 - 1/27*u**3 + 0*u**4. Solve k(w) = 0.
-1, 0, 1
Let z be (1/(-2))/(6/72). Let m be (1/z)/((-4)/8). Factor 2/3*w**2 - 2/3*w**3 + m*w - 1/3 + 1/3*w**5 - 1/3*w**4.
(w - 1)**3*(w + 1)**2/3
Let z(l) be the second derivative of -l**6/60 - 3*l**5/20 - l**4/3 + l**3/2 + 9*l**2/4 - 13*l. Factor z(u).
-(u - 1)*(u + 1)*(u + 3)**2/2
Solve 112*i**2 + 640/3*i + 2/3*i**4 - 1024/3 + 46/3*i**3 = 0 for i.
-8, 1
Let -8/5*g + 0 + 48/5*g**3 - 12/5*g**2 - 28/5*g**4 = 0. What is g?
-2/7, 0, 1
Let h(d) = 4*d**4 + 5*d**3 + 7*d**2 - 5*d + 4. Let r(m) = -m**4 - m**3 - m**2 + m - 1. Let q(k) = -h(k) - 5*r(k). Factor q(c).
(c - 1)**2*(c + 1)**2
Let k(b) = -5*b**3 - 5*b**2 + b + 1. Let o(r) = 14*r**3 + 14*r**2 - 4*r - 2. Let z(c) = 11*k(c) + 4*o(c). Factor z(g).
(g - 1)**2*(g + 3)
Factor 12/11*o**3 + 2/11*o + 0 + 8/11*o**2 + 8/11*o**4 + 2/11*o**5.
2*o*(o + 1)**4/11
Factor 8*q**2 - 11*q**3 + 3*q**5 + q**3 + q**5 - 2*q**3.
4*q**2*(q - 1)**2*(q + 2)
Let t(z) = z**4 - 25*z**3 - 31*z**2 - 23*z - 8. Let x(y) = 12*y**3 + 16*y**2 + 12*y + 4. Let w(m) = 2*t(m) + 5*x(m). Factor w(j).
2*(j + 1)**3*(j + 2)
Suppose 0 = -5*h, j + 0