 b(v) be the second derivative of 0*v**2 + 0*v**3 + 1/24*v**4 + n - 2*v. Find l such that b(l) = 0.
0
Suppose -g + 0*g = 2. Let x be (0/(-5))/((-4)/g). Factor -2/7*b**3 + x*b + 0 + 0*b**2.
-2*b**3/7
Let l(v) = v**2 + 2*v + 2. Suppose 5*k = 3*k + 8. Let s(b) = -k*b - 1 + 3*b + 3*b**2 - 4*b**2. Let i(r) = -3*l(r) - 2*s(r). Factor i(h).
-(h + 2)**2
Let s be (-75)/(-12) - 2/8. Suppose -2*d = d - s. Solve -1 + 4 - d - z**2 = 0 for z.
-1, 1
Let k = -143 - -717/5. Factor -2/5 - 4/5*w - k*w**2.
-2*(w + 1)**2/5
Let w(m) be the second derivative of -1/30*m**5 + 0 - 1/3*m**3 + 7*m + 1/3*m**2 + 1/6*m**4. Suppose w(s) = 0. What is s?
1
Let k be 2 + (-12)/(-15) + -1. Let i be (24/15)/(-4) - (-1 - 0). What is b in 6/5 - k*b + i*b**2 = 0?
1, 2
Let w(o) be the first derivative of -o**5/60 - o**4/12 + o**3/18 + o**2/2 - 7*o + 4. Let d(f) be the first derivative of w(f). Let d(l) = 0. What is l?
-3, -1, 1
Let -2/7*y**5 + 72/7*y**2 + 26/7*y**4 - 96/7*y**3 + 0 + 0*y = 0. Calculate y.
0, 1, 6
Let m(h) = -2*h + 6. Let b be m(4). Let t = b + 5. Determine x, given that -13*x**2 - 10*x**3 + 4 + 8*x + x**t + 10*x**2 = 0.
-2/3, 1
Let l(a) be the third derivative of -2*a**7/21 + 11*a**6/15 - 11*a**5/5 + 10*a**4/3 - 8*a**3/3 - 14*a**2. Suppose l(z) = 0. Calculate z.
2/5, 1, 2
Let v be (-340)/(-56) + (-3)/(-6) + -6. Find m such that 0 - 2*m**5 + 0*m - 22/7*m**3 - 32/7*m**4 - v*m**2 = 0.
-1, -2/7, 0
Let r(a) be the second derivative of a**6/180 - a**5/30 - a**4/36 + a**3/3 + 3*a**2/4 + 23*a. Let r(g) = 0. Calculate g.
-1, 3
Factor 3 + 9/4*t**3 + 51/4*t + 12*t**2.
3*(t + 1)*(t + 4)*(3*t + 1)/4
Let z be 1/(-6)*-3 - 9/(-6). Determine j so that 0 + 0*j + 0*j**z - 3/2*j**4 + 3/2*j**3 = 0.
0, 1
Factor 2/5*u**3 - 2*u + 2/5*u**2 + 6/5.
2*(u - 1)**2*(u + 3)/5
Let b = 45 - 179/4. Let o be 1/(-3) - (-26)/24. Suppose 5/4*m**2 - 1/4*m**3 + b*m - o*m**4 - 1/2 = 0. What is m?
-1, 2/3, 1
Factor 25/3*c**3 + 0 + 4/3*c + 20/3*c**2.
c*(5*c + 2)**2/3
Let f(p) be the third derivative of -p**6/120 - 2*p**5/15 + p**4/24 + 11*p**3/6 - 2*p**2. Let c be f(-8). Factor -2 + 6*d - 4*d**c + 0*d - 2*d + 2*d**4.
2*(d - 1)**3*(d + 1)
Let g(y) = 2*y - 9. Let k be g(7). Factor k*f**4 - 2*f**4 + 9*f**2 - 12*f**2.
3*f**2*(f - 1)*(f + 1)
Let k(z) be the first derivative of z**4/2 - 8*z**3/9 - 4*z**2/3 + 31. Suppose k(g) = 0. What is g?
-2/3, 0, 2
Let q(v) be the first derivative of v**6/40 - v**5/5 + v**4/2 + 3*v**2/2 + 4. Let h(f) be the second derivative of q(f). Factor h(a).
3*a*(a - 2)**2
Suppose 2*i = 2*t - 1 - 1, 0 = t - 3. Let s(p) be the first derivative of 2/5*p - 3/5*p**i - 2 + 3/10*p**4 - 2/15*p**3. Factor s(o).
2*(o - 1)*(o + 1)*(3*o - 1)/5
Factor 18/13 + 14/13*p**2 - 2/13*p**3 - 30/13*p.
-2*(p - 3)**2*(p - 1)/13
Suppose 3*v - v = -5*v. Solve -2/7*o**2 + v*o + 2/7 = 0.
-1, 1
Let o(b) = 2*b + 2. Let w be o(4). Suppose 7*d**3 - w*d**4 + 1 + 4*d**2 - d**3 - 1 = 0. Calculate d.
-2/5, 0, 1
Let h be (-1)/(-30) - (-1)/(-3). Let v = h + 4/5. Factor v*z**2 - 1/2 + 0*z.
(z - 1)*(z + 1)/2
Let v(x) be the second derivative of -4*x**5/15 - x**4/3 + 2*x**3/9 - 5*x. Factor v(t).
-4*t*(t + 1)*(4*t - 1)/3
Let w(d) be the second derivative of -d**7/42 + d**5/10 - d**3/6 + 11*d. Factor w(s).
-s*(s - 1)**2*(s + 1)**2
Factor -2/3*z**3 + 8/9 + 8/9*z - 10/9*z**2.
-2*(z - 1)*(z + 2)*(3*z + 2)/9
Factor 8/7 - 2*j**2 + 0*j - 6/7*j**3.
-2*(j + 1)*(j + 2)*(3*j - 2)/7
Let z(m) be the third derivative of 0*m - 1/630*m**7 + 4*m**2 + 0 + 1/180*m**5 - 1/360*m**6 + 0*m**3 + 1/72*m**4. Suppose z(r) = 0. What is r?
-1, 0, 1
Let h(o) = o**3 + 9*o**2 - 13*o - 27. Let c be h(-10). What is k in 2/5*k**c - 2/5*k**2 + 2/5*k**4 + 0 - 2/5*k**5 + 0*k = 0?
-1, 0, 1
Let v = -5/26 + 129/130. Let -4/5 + 2/5*a**3 + v*a**2 - 2/5*a = 0. What is a?
-2, -1, 1
Let q = -549/20 - -113/4. Let -8/5*m**2 + 8/5*m**4 + q*m**5 + 0 + 0*m**3 - 4/5*m = 0. What is m?
-1, 0, 1
Let -9/2 + 3/2*q**2 + 3*q = 0. What is q?
-3, 1
Factor -3*y**3 + 4*y - y**3 + 4*y**2 + 5*y**3.
y*(y + 2)**2
Let r = -7 + 9. Factor -2*m**2 - 7*m**r - 5*m**2 + 9*m - 8 + 23*m.
-2*(m - 2)*(7*m - 2)
Let k = 2 - 1. Suppose 2*c = k + 3. Solve -y**c - 2*y + 1 + 2*y = 0.
-1, 1
Let r(n) be the third derivative of -n**8/168 + 2*n**7/105 - n**5/15 + n**4/12 - 22*n**2. Factor r(l).
-2*l*(l - 1)**3*(l + 1)
Let u(q) be the second derivative of q**9/15120 - q**8/8400 - 2*q**3/3 - 4*q. Let l(s) be the second derivative of u(s). Suppose l(c) = 0. What is c?
0, 1
Suppose -34 = -29*m + 24. Suppose -3/2*u**4 + 4*u**3 + 4/3*u - 1/6 - 11/3*u**m = 0. What is u?
1/3, 1
Let f = -76 - -80. Let i(q) be the third derivative of 1/300*q**5 + 0*q + 2/15*q**3 + 1/30*q**f - q**2 + 0. Factor i(h).
(h + 2)**2/5
Let u(v) be the third derivative of v**5/360 + v**4/72 + v**3/36 + 6*v**2. Determine r so that u(r) = 0.
-1
Let j(q) = q**2 - 2*q - 2. Let n be j(3). Factor n - v + 1/4*v**2.
(v - 2)**2/4
Let z(a) = -28*a**3 - 50*a**2 - 17*a + 5. Let c(i) = -i**2 + 1. Let l(t) = 35*c(t) - 5*z(t). Factor l(j).
5*(j + 1)*(4*j + 1)*(7*j + 2)
Let u(r) be the first derivative of -8 - 3/28*r**4 + 1/7*r**3 + 0*r + 3/7*r**2. Let u(k) = 0. What is k?
-1, 0, 2
Let c(a) be the third derivative of -a**8/50400 + a**7/6300 - a**6/1800 - a**5/20 - 3*a**2. Let l(o) be the third derivative of c(o). Solve l(n) = 0 for n.
1
Suppose -g = -0*g + 3, 5*g = -4*m - 27. Let w be (m - -1)*3/(-4). Factor -3/2*u**2 + 1/2*u**3 - 1/2 + w*u.
(u - 1)**3/2
Let c(b) be the third derivative of b**6/90 - b**5/20 + b**4/36 - b**2. Determine j, given that c(j) = 0.
0, 1/4, 2
Let m(b) = -4*b**4 - 13*b**3 + 17*b**2 - 13*b + 13. Let h(l) = -l**4 - 3*l**3 + 4*l**2 - 3*l + 3. Let s(c) = 26*h(c) - 6*m(c). Factor s(j).
-2*j**2*(j - 1)*(j + 1)
Let m(s) be the first derivative of -4*s**5/5 - 2*s**4 + 4*s**2 + 4*s + 7. Find o such that m(o) = 0.
-1, 1
Let r be (1 + -16)/((-336)/32). Factor r*c**2 + 6/7*c**3 - 2/7*c**5 - 2/7*c**4 + 4/7*c + 0.
-2*c*(c - 2)*(c + 1)**3/7
Let y be (-2)/(72/(-26)) - (-7)/(-14). What is d in 0 - 2/9*d + 2/9*d**4 - 2/9*d**2 + y*d**3 = 0?
-1, 0, 1
Let a(f) be the first derivative of -1/4*f + 3/8*f**2 - 1/4*f**3 + 1/16*f**4 + 1. Suppose a(v) = 0. What is v?
1
Let n be (-8 + 130/15)/(-1 - -3). Let m(s) be the first derivative of 2/15*s**5 + n*s**4 + 0*s**2 + 3 + 2/9*s**3 + 0*s. Suppose m(j) = 0. Calculate j.
-1, 0
Let j(d) be the first derivative of d**4 + 4*d**3/3 - 2*d**2 - 4*d - 34. Suppose j(w) = 0. What is w?
-1, 1
Let o = 9 - 6. Solve o*u - 3 - 5*u + 5 + 2*u**3 - 2*u**2 = 0.
-1, 1
Let h(r) be the first derivative of -2*r**5/45 + 5*r**4/9 - 22*r**3/9 + 40*r**2/9 - 32*r/9 + 1. Factor h(x).
-2*(x - 4)**2*(x - 1)**2/9
Let f(u) be the second derivative of -1/14*u**4 + 2*u - 1/70*u**5 - 1/7*u**2 + 0 - 1/7*u**3. Factor f(p).
-2*(p + 1)**3/7
Let a = -939/51170 - 4/1505. Let i = 5261/1190 + a. Factor -6/5*q**5 - i*q + 4/5 + 48/5*q**2 - 52/5*q**3 + 28/5*q**4.
-2*(q - 1)**4*(3*q - 2)/5
Let i(f) be the first derivative of -7*f**5/60 + 3*f**4/8 - f**3/3 - f**2/2 + 1. Let d(o) be the second derivative of i(o). Suppose d(m) = 0. Calculate m.
2/7, 1
Let c(z) be the third derivative of 7*z**2 + 0 - 2*z**3 - 81/20*z**5 + 0*z + 9/2*z**4. Factor c(p).
-3*(9*p - 2)**2
Suppose u + 10 = 6*u. Let f(k) = k**3 + 5*k**2 + 2*k - 5. Let z be f(-4). Factor 4*m**z - m**2 - u*m**2 + m**2 + m**2.
m**2*(4*m - 1)
Let w(v) be the first derivative of v**7/945 - v**6/540 - v**5/135 - 9*v**2/2 - 8. Let t(n) be the second derivative of w(n). Let t(s) = 0. What is s?
-1, 0, 2
Let x be (-1 - -4) + 2/2. Suppose -3*n - 5*a = -31, x*n = 2*a + 2*a - 12. What is j in 0 + 2*j**3 - 1/2*j**4 + 1/2*j**n + 0*j - 2*j**5 = 0?
-1, -1/4, 0, 1
Let j(o) be the second derivative of -o**7/210 + o**6/120 + o**5/60 - o**4/24 - o**2 + 3*o. Let u(h) be the first derivative of j(h). Factor u(g).
-g*(g - 1)**2*(g + 1)
Let x(d) be the third derivative of 0 + 0*d**3 - 1/360*d**6 + 2*d**2 + 1/360*d**5 + 0*d + 0*d**4 + 1/1260*d**7. Factor x(v).
v**2*(v - 1)**2/6
Let z = -1/20 - -9/20. Solve z*r + 0 + 0*r**2 - 2/5*r**3 = 0 for r.
-1, 0, 1
Let q(n) be the third derivative of n**6/360 - n**4/72 - 15*n**2. Factor q(o).
o*(o - 1)*(o + 1)/3
Let y be -1 - ((-28)/(-5) + -4 - 3). Determine j so that -1/5*j**3 - 2/5*j**2 + y + 1/5*j = 0.
-2, -1, 1
Let x = 0 - 2. Let i be x*(55/60)/(-11). Factor 0 + 1/3*j - i*j**2.
-j*(j - 2)/6
Let m