+ -2/481. What is b in 2/7 - 2/7*b**3 - a*b + 6/7*b**2 = 0?
1
Let v(x) be the first derivative of -3 + 2/33*x**3 - 2/11*x + 0*x**2. Determine h, given that v(h) = 0.
-1, 1
Let j(i) be the first derivative of -3*i**5/20 + 3*i**4/8 - 3*i**2/4 + 3*i/4 - 33. Let j(n) = 0. What is n?
-1, 1
Let w(t) be the third derivative of -t**7/140 - t**6/40 + t**5/20 + t**3/6 + 3*t**2. Let a(x) be the first derivative of w(x). Factor a(u).
-3*u*(u + 2)*(2*u - 1)
Suppose -7*z + 4*z = -6. Factor 4*f**4 + 0*f + 1/4*f**2 + z*f**3 + 0.
f**2*(4*f + 1)**2/4
Let l be 22/99 - 4/(-38 + 2). Factor -5/3*q**3 - q + l - 3*q**2.
-(q + 1)**2*(5*q - 1)/3
Factor 1/3*p**4 + 0 - 1/3*p**3 + 0*p**2 + 0*p.
p**3*(p - 1)/3
Let n be (-283)/(-33) - (-2)/6. Find q, given that 8/11 + n*q**2 - 56/11*q = 0.
2/7
Suppose n - 7 - 1 = -2*i, -4*n - i = -11. Factor 1/3*c**n + 0 + 1/3*c.
c*(c + 1)/3
Let t(u) be the second derivative of 3*u + 0*u**2 - 1/18*u**4 + 1/9*u**3 - 1/15*u**5 + 0. Factor t(m).
-2*m*(m + 1)*(2*m - 1)/3
Let w = -11 + 19. Determine t so that w*t**3 + 2*t - t**5 - 4 + 0*t**5 - 5*t**5 - 4*t**5 - 16*t**4 + 20*t**2 = 0.
-1, 2/5, 1
Let s be ((-6)/4)/((-3)/34). Determine c so that -s*c**2 + 11*c**2 - 6*c + 12*c**2 + 2 - 2*c**3 = 0.
1
Let b(z) be the third derivative of 13/120*z**6 - 1/35*z**7 + 0*z - 3*z**2 + 1/336*z**8 - 1/5*z**5 + 0*z**3 + 0 + 1/6*z**4. Let b(q) = 0. Calculate q.
0, 1, 2
Let f be (-3)/(-3) + 6/2. Suppose -4*m - 4*u + u + 13 = 0, -f*u = -3*m - 9. Factor 9/2*q + m + 7/2*q**2.
(q + 1)*(7*q + 2)/2
Let f(j) be the third derivative of -j**7/525 + j**6/300 + j**5/150 - j**4/60 - 14*j**2. Factor f(d).
-2*d*(d - 1)**2*(d + 1)/5
Determine v, given that -6*v**2 - 82*v - 114 + 14 + 42*v + 2*v**2 = 0.
-5
Let i = -2/37 - -43/111. Let n be 2/(-7) + (-2)/(-7). Factor 0*l + 1/3*l**3 - 1/3*l**4 + i*l**2 + n - 1/3*l**5.
-l**2*(l - 1)*(l + 1)**2/3
Factor 0 + 27/4*y + 3/4*y**3 + 15/2*y**2.
3*y*(y + 1)*(y + 9)/4
Let t = -76/15 - -32/5. What is j in -2/3*j**2 + 0 - t*j + 2/3*j**3 = 0?
-1, 0, 2
Let s(a) = a**3 - a. Let t be s(0). Factor -11 + t + 7 + 8*m - 4*m**2.
-4*(m - 1)**2
Factor -a - 2 + 3 + a**3 - 40*a**2 + 39*a**2.
(a - 1)**2*(a + 1)
Suppose 2*s - 12 = -2*s. Let j = -1 + s. Let 0*f**3 - 1/4*f**4 + 0*f - 1/4*f**5 + 0*f**j + 0 = 0. Calculate f.
-1, 0
Let o(t) be the first derivative of 9/2*t**2 + 3/4*t**4 - 6 - 3*t - 3*t**3. Determine k, given that o(k) = 0.
1
Let -15/7*d**3 - 33/7*d**2 - 3*d - 3/7 = 0. What is d?
-1, -1/5
Let m(y) = -4*y**3 - 6*y**2 - 3*y - 3*y**2 + 2 + 3*y**2. Let s(r) = 3*r**3 + 5*r**2 + 3*r - 1. Let u(a) = 2*m(a) + 3*s(a). Find x such that u(x) = 0.
-1
Let u be (76/18 - (-4)/(-18)) + 1. Let a(z) be the second derivative of -2*z - 16/3*z**3 - 2/5*z**u + 0 + 8*z**2 + 2*z**4 + 1/30*z**6. Let a(w) = 0. What is w?
2
Let t(k) = -2*k + 20. Let w be t(10). Suppose 0*m**2 - 2/5*m**3 + 2/5*m + w = 0. Calculate m.
-1, 0, 1
Factor 0 + 0*n - 2/3*n**3 + 4/3*n**2 - 2/3*n**4.
-2*n**2*(n - 1)*(n + 2)/3
Suppose 4*l - 24 = 2*l. Suppose 0 = -3*c + 7*c - l. Factor u - c*u**2 + 2*u**2 + 0*u**2.
-u*(u - 1)
Let b(l) be the first derivative of l**7/840 + l**6/180 + l**3/3 - 1. Let f(v) be the third derivative of b(v). Factor f(u).
u**2*(u + 2)
Let -10 + 3*k**2 - 4*k**2 - 2 - k**2 + 14*k = 0. What is k?
1, 6
Let k(a) be the second derivative of 0*a**2 - 1/3*a**3 + 1/6*a**4 + 0 - 7*a. Determine g so that k(g) = 0.
0, 1
Let t(b) be the second derivative of b**7/56 - b**6/40 - 3*b**5/16 + b**4/16 + b**3 + 3*b**2/2 + b. Factor t(w).
3*(w - 2)**2*(w + 1)**3/4
Factor -161/3*y + 53/3*y**3 + 51*y**2 + 4/3*y**4 - 49/3.
(y - 1)*(y + 7)**2*(4*y + 1)/3
Determine b so that -9/4 - 25/4*b**2 + 15/2*b = 0.
3/5
Let j = 28 - 16. Suppose 5*r = r + j. Factor -2*k**2 - 2*k - 2/3 - 2/3*k**r.
-2*(k + 1)**3/3
Let i(f) be the third derivative of -f**9/7560 + f**8/3360 + f**7/1260 - f**6/360 - f**4/12 - 2*f**2. Let m(g) be the second derivative of i(g). Factor m(x).
-2*x*(x - 1)**2*(x + 1)
Let l be 1/(-6) + (-66)/(-12). Factor -l + 8/3*z + 2/3*z**4 + 4*z**2 - 10/3*z**3.
2*(z - 2)**3*(z + 1)/3
Let w(g) = 11*g**3 - 13*g**2 - 11*g. Let l(k) = 5*k - 3*k**3 + 3*k**3 + 6*k**2 - 5*k**3. Let i(x) = 13*l(x) + 6*w(x). Factor i(b).
b*(b - 1)*(b + 1)
Let b = -5 - -4. Let q be 2 + b*(2 + -2). Factor -8*n**2 - 2*n - 2 + 2 + 6*n**q.
-2*n*(n + 1)
Let i be 10/(-4)*20/(-25). Let s(g) be the first derivative of -3/8*g**4 - 13/12*g**3 - i - 1/20*g**5 - 3/2*g**2 - g. Factor s(h).
-(h + 1)**2*(h + 2)**2/4
Suppose -9 = -4*d - 3*l, -3*d - 3*l + 2 = -4. Suppose 2*p - 2*k + 6 = 0, -2*p + d*p = -5*k + 15. Factor p + 0*c + 0*c**2 + 2/3*c**3 + 2/3*c**4.
2*c**3*(c + 1)/3
Let g = 3 + -2. Let p(s) = -s**3 - 5*s**2 - 5*s - 3. Let o be p(-4). What is l in -g - 2*l + l**2 + 3*l - o = 0?
-2, 1
Let -4/11*d + 0 - 2/11*d**2 = 0. Calculate d.
-2, 0
Let y(v) be the second derivative of -1/4*v**4 - 2/3*v**3 - 1/30*v**5 - 3*v + 0 + 1/2*v**2. Let f(g) be the first derivative of y(g). Factor f(n).
-2*(n + 1)*(n + 2)
Let j(u) = -u - 2. Let d be j(-7). Solve 20*t**2 + 1 + 16*t**d + 52*t**4 + 0*t**2 + 10*t + 64*t**3 + 17*t**2 = 0 for t.
-1, -1/2, -1/4
Let r(h) = -h**2 + 3. Let z be r(1). Find g such that -4/7*g + 10/7*g**z + 0 - 6/7*g**3 = 0.
0, 2/3, 1
Let i(z) be the second derivative of 1/30*z**4 + 0 - 1/30*z**3 - 1/100*z**5 + z + 0*z**2. Solve i(v) = 0.
0, 1
Let b(x) = -x**2 + x. Let s(g) = -7*g**2 + 10*g + 9. Let j(t) = -4*b(t) + s(t). Factor j(p).
-3*(p - 3)*(p + 1)
Let j be 4/6 - 1/(-3). Suppose 3*v = j + 5. Solve 8*b**2 - 3*b**3 - 2 - 4*b - 5*b**3 + 6*b**v = 0.
-1/4, 1
Let w = 9 - 6. Let l(j) be the third derivative of 0 + 0*j + 1/180*j**6 + 0*j**w + 0*j**4 + j**2 + 0*j**5. Determine a so that l(a) = 0.
0
Let h(x) be the second derivative of 3*x**5/40 - 13*x**4/24 + x**3/6 + 2*x**2 - 17*x. Suppose h(d) = 0. Calculate d.
-2/3, 1, 4
Let y(f) be the first derivative of f**3/7 + 3*f**2/7 + 3*f/7 - 2. Factor y(c).
3*(c + 1)**2/7
Let q be 52/130*6*10/8. Let 1/6*c**q + 1/6*c**2 + 0*c + 0 = 0. What is c?
-1, 0
Let i(o) be the first derivative of -o**6/36 + o**5/15 + o**4/12 - 4*o**3/9 + 7*o**2/12 - o/3 - 10. Let i(m) = 0. Calculate m.
-2, 1
Let u be ((-8)/(-3))/((-3)/(-9)). Let l be -5 + 3 + u + -1. Determine b, given that -6/5*b**l - 8/5*b**4 + 2/5*b + 4/5*b**3 + 0 + 8/5*b**2 = 0.
-1, -1/3, 0, 1
Let g(f) = 12*f**2 + 12*f - 15. Let z(d) = -d**2 + 1. Let b(w) = g(w) + 3*z(w). Solve b(o) = 0.
-2, 2/3
Let w be 3*6/24*4. Factor -4/3*l**2 + 0*l + 2/3*l**4 + 2/3*l**w + 0.
2*l**2*(l - 1)*(l + 2)/3
Let l = 7 - -1. Suppose -4*o**3 + l*o**4 + 2 - 3*o**5 - 6*o**2 - 2 + 0*o + 7*o - 2 = 0. What is o?
-1, 2/3, 1
Suppose -g + 2*y = -9 + 1, g + 5*y = -13. Solve b**4 - 8 + b - 25*b - 5*b**4 + g*b**4 - 26*b**2 - 12*b**3 = 0.
-2, -1
Suppose -2*h - 4*h = -36. Let x(f) be the second derivative of 0 + 1/12*f**4 - 4*f + 1/10*f**5 + 0*f**3 + 0*f**2 + 1/30*f**h. Factor x(b).
b**2*(b + 1)**2
Let j(s) = -s**2 + 8*s - 3. Let k be j(7). Factor b**2 - 2*b + k*b - 2*b**2 - 4*b.
-b*(b + 2)
Factor 2/3*k**2 + 4/3*k**3 + 0 + 2/3*k**4 + 0*k.
2*k**2*(k + 1)**2/3
Let f = -89 + 90. Let i(o) = -o. Let q(h) be the first derivative of h**4/2 - 8*h**3/3 - h**2 - 4*h + 1. Let w(p) = f*q(p) - 12*i(p). Let w(k) = 0. What is k?
1, 2
Let i(z) = -5*z**3 - z**2 - 2*z - 1. Let a be i(-1). Suppose 4*k = -4*n, -3*n + k - 3*k = -a. Factor 5*s**5 - 3*s**n - 3*s**4 + 3*s**5 - 2*s**3.
s**3*(s - 1)*(5*s + 2)
Let i(m) be the second derivative of -m**7/56 - 7*m**6/120 + m**5/80 + 7*m**4/48 + m**3/12 - 10*m. Find c such that i(c) = 0.
-2, -1, -1/3, 0, 1
Let t(m) be the first derivative of -m**6/6 + 4*m**5/15 + 7*m**4/12 - 4*m**3/9 - 2*m**2/3 - 18. Determine p, given that t(p) = 0.
-1, -2/3, 0, 1, 2
Suppose 3 - 6 = -j. Let m(k) be the first derivative of -2 + 0*k + 1/14*k**4 - 4/21*k**j + 1/7*k**2. Factor m(o).
2*o*(o - 1)**2/7
Let x be ((-62088)/182)/(10/(-14)). Let w = x + -476. Solve 0 - w*y**5 - 8/5*y - 48/5*y**2 - 74/5*y**3 - 42/5*y**4 = 0 for y.
-2, -1, -1/4, 0
Suppose k + 5*d = 0, -3*d + 0*d = k. Let w(o) be the third derivative of 0 + 1/150*o**6 + 1/525*o**7 + k*o**3 + 1/150*o**5 - o**2 + 0*o**4 + 0*o. Factor w(n).
2*n**2*(n + 1)**2/5
Let g(k) = 2*k**3 - 2*k. Let s be g(2). Suppose 0 = -u - 2*u + s. Factor 2*l**u + 6*l**3 - 6 + 6 + 6*l**2 + 2*l.
2*l*(l + 1)**3
Let d be 2/(-8) + (-90)/(-200). Let -1/5*c + 0 - 