irst derivative of b(c). Factor y(l).
(l - 1)*(2*l - 1)/3
Let j(m) = -2*m**5 - m**4 - m**3 + 11*m**2 + 17*m + 11. Let a(p) = p**5 - 6*p**2 - 9*p - 6. Let b(v) = -7*a(v) - 4*j(v). Let b(h) = 0. Calculate h.
-2, -1, 1
Let f(o) be the first derivative of 15*o**6/2 + 6*o**5 - 55*o**4/4 - 20*o**3/3 + 10*o**2 + 7. Factor f(b).
5*b*(b + 1)**2*(3*b - 2)**2
Find a such that -14*a - a**2 - 40*a + 47*a - 19*a - 169 = 0.
-13
Suppose 2*z - n = -0*n + 6, -2*z + 2*n + 4 = 0. Suppose 5*a = z*a + 2. Factor 2/3*j + 2/3*j**5 + 2/3*j**4 + 2/3 - 4/3*j**3 - 4/3*j**a.
2*(j - 1)**2*(j + 1)**3/3
Suppose 0 = 8*m - 10*m + 4. Let s(w) be the second derivative of -7/20*w**5 + 0*w**3 + 0 - 4*w - 1/6*w**4 + 0*w**m - 1/6*w**6. Factor s(g).
-g**2*(g + 1)*(5*g + 2)
Let b(l) be the second derivative of -l**5/140 + l**4/14 + l**3/42 - 3*l**2/7 + 54*l. Factor b(o).
-(o - 6)*(o - 1)*(o + 1)/7
Let d be (-10)/(-45) - 16/(-9). Suppose 22*y**5 - 30*y**5 - 2*y**3 - 16*y**4 - d + 3*y + 10*y**2 - y = 0. What is y?
-1, 1/2
Let z(i) be the second derivative of 1/60*i**6 - 1/10*i**5 - 4*i + 0 - 1/6*i**3 + 0*i**2 + 5/24*i**4. Factor z(l).
l*(l - 2)*(l - 1)**2/2
Suppose c**2 - 1/2 + 0*c - 1/2*c**4 + 0*c**3 = 0. What is c?
-1, 1
Suppose 0 - 2/7*k**3 + 10/7*k**4 - 10/7*k**2 + 2/7*k = 0. What is k?
-1, 0, 1/5, 1
Let b(c) = -c**3 - 6*c**2 - 6*c - 5. Suppose u + 6 - 1 = 0. Let p be b(u). Factor -14/9*i**4 - 8/9*i**5 + 2/9*i**2 - 4/9*i**3 + 0 + p*i.
-2*i**2*(i + 1)**2*(4*i - 1)/9
Let d(j) = -j**3 - 14*j**2 + 16*j + 18. Let n be d(-15). Let z = -4 - -6. Solve 0*m + 0*m + 0*m**2 - 10*m**n + 10*m**5 - 4*m**4 + 4*m**z = 0.
-1, 0, 2/5, 1
Let v(u) = -1. Let m(j) = -3*j - 2. Let r(s) = m(s) - 3*v(s). Let o be r(-1). Factor 3*i + i**3 - 2*i + i - o*i**2 + i**3.
2*i*(i - 1)**2
Let j(v) be the third derivative of -v**7/140 - v**6/180 + 2*v**5/15 - v**4/3 - 5*v**3/6 + 3*v**2. Let s(x) be the first derivative of j(x). Factor s(a).
-2*(a - 1)*(a + 2)*(3*a - 2)
Let w(z) be the second derivative of z**5/60 + z**4/12 + z**3/6 + 5*z**2/2 - 6*z. Let u(v) be the first derivative of w(v). Factor u(h).
(h + 1)**2
Let i = -6 + 10. Suppose 0 = 4*c - 0*c - 16. Factor -4*u**2 - 2*u**2 + 3 - u**4 + i*u**c.
3*(u - 1)**2*(u + 1)**2
Let c be (-4)/(-6) + 26/6. Let -2*i**4 + i**3 + c*i**4 + 0*i**4 - 2*i**4 = 0. Calculate i.
-1, 0
Let w(p) be the third derivative of 0*p - 2/45*p**6 + 4/45*p**5 + 6*p**2 + 2/315*p**7 + 0 + 0*p**3 + 0*p**4. Factor w(y).
4*y**2*(y - 2)**2/3
Let x(p) be the third derivative of -p**8/5040 - p**7/1260 - p**5/20 + p**2. Let w(z) be the third derivative of x(z). Find o such that w(o) = 0.
-1, 0
Let c(d) be the third derivative of d**8/224 + d**7/70 - d**6/20 - d**5/20 + 3*d**4/16 - 6*d**2. Suppose c(i) = 0. What is i?
-3, -1, 0, 1
Suppose -5*s + 13 + 5 = 2*o, 15 = 3*s - 3*o. Determine d so that 4/5*d**3 + 0*d**2 + 2/5 - 4/5*d - 2/5*d**s = 0.
-1, 1
Let z(p) be the first derivative of 12*p**3 + 9*p**2 + 4 + 9/5*p**5 + 15/2*p**4 + 3*p. Factor z(x).
3*(x + 1)**3*(3*x + 1)
Let s(l) be the first derivative of -2/9*l**3 + 5/12*l**4 - 1/5*l**5 + 4 + 0*l + 0*l**2. Factor s(c).
-c**2*(c - 1)*(3*c - 2)/3
Let u be 0/((3/(-1))/((-21)/(-14))). Let n(d) be the first derivative of u*d + 1 - 1/4*d**4 + 0*d**3 + 1/5*d**5 + 0*d**2. Factor n(x).
x**3*(x - 1)
Suppose -1/3*o**4 - 1/3 + 4/3*o**3 + 4/3*o - 2*o**2 = 0. What is o?
1
Suppose -44/9*h**3 - 8/9*h**4 - 28/3*h**2 - 16/9 - 64/9*h = 0. Calculate h.
-2, -1, -1/2
Let f(j) = 9*j**4 + 8*j**3 - j**2 - 7*j + 7. Let m(c) = -3*c**4 - 3*c**3 + 2*c - 2. Let b be (-2)/3 - 122/6. Let w(i) = b*m(i) - 6*f(i). Factor w(h).
3*h**2*(h + 1)*(3*h + 2)
Let o(i) be the first derivative of i**4 + 0*i + 1 + 0*i**5 + 0*i**3 - i**2 - 1/3*i**6. Factor o(z).
-2*z*(z - 1)**2*(z + 1)**2
Let m(d) be the first derivative of 2/5*d**2 - 1/15*d**3 + 3 - 1/30*d**4 - 3*d. Let x(p) be the first derivative of m(p). Find z such that x(z) = 0.
-2, 1
Let z(p) be the third derivative of -p**6/120 + p**5/3 - 25*p**4/6 - 24*p**2. Solve z(j) = 0.
0, 10
Suppose -2*u = -1 - 1. Let c = 1 + u. Factor -9*q**5 + 5*q**4 + 2*q**2 + c*q**2 + 16*q**4 - 16*q**3.
-q**2*(q - 1)*(3*q - 2)**2
Let a(v) be the third derivative of -v**6/40 - v**5/20 + v**4/4 - 5*v**2. Factor a(h).
-3*h*(h - 1)*(h + 2)
Factor 40/3*t**2 + 0*t**4 - 96 - 4/3*t**5 + 20*t**3 - 80*t.
-4*(t - 3)**2*(t + 2)**3/3
Factor 3*s**2 + 2*s + 8*s - 6*s**2 + 5*s.
-3*s*(s - 5)
Let u = 5 - -1. Let o = u - 2. What is p in -6*p**4 - 2*p + 2*p**5 + 0*p**4 + 2*p**4 + o*p**2 = 0?
-1, 0, 1
Suppose 3*m = -4*t + 5*m + 16, 0 = 2*t + m. Let c(i) be the first derivative of -4 - t*i - 2/3*i**3 + 2*i**2. Solve c(f) = 0.
1
Let h(y) = y + 7. Let o be h(-6). Suppose -g + 2 = -o. Factor 0*p**4 + 3*p**4 + 5*p**5 + 2*p + 0*p**2 - 7*p**3 - g*p**2.
p*(p - 1)*(p + 1)**2*(5*p - 2)
Let l(z) be the third derivative of -1/3*z**4 + 2/105*z**7 + 0*z**5 - 7*z**2 - 2/3*z**3 + 0*z + 1/15*z**6 + 0. Factor l(v).
4*(v - 1)*(v + 1)**3
Suppose -x = -0*x. Suppose x = 4*s - 9 - 3. Factor -1/4*d + 1/4*d**s + 1/4*d**4 - 1/4*d**2 + 0.
d*(d - 1)*(d + 1)**2/4
Let v(u) be the second derivative of -u**6/27 - 16*u**5/45 - 19*u**4/18 - 38*u**3/27 - 8*u**2/9 - 27*u. Determine m, given that v(m) = 0.
-4, -1, -2/5
Let o(w) be the second derivative of -1/30*w**6 + 0 + 1/21*w**3 + 1/12*w**4 - 1/70*w**5 + 0*w**2 + 4*w. Factor o(f).
-f*(f - 1)*(f + 1)*(7*f + 2)/7
Suppose 6*o = 8*o. Let n(k) be the second derivative of 0*k**2 - 2*k + 0 + o*k**3 - 1/24*k**4. Find q such that n(q) = 0.
0
Solve 6*v**5 + 3*v**4 + v**5 - 5*v**5 + v**5 = 0.
-1, 0
Suppose 3*w + 20 - 50 = 0. Suppose s = 3*s - w. Factor 0 - 1/2*p**s + 1/2*p**2 - 1/2*p**4 + 0*p + 1/2*p**3.
-p**2*(p - 1)*(p + 1)**2/2
Let g = 42/11 - 188/55. Let -2/5*p + 0 + g*p**2 = 0. Calculate p.
0, 1
Let d(i) = -i**2. Let s(g) = -30*g**2 + 20. Let j(x) = 25*d(x) - s(x). Factor j(l).
5*(l - 2)*(l + 2)
Suppose -15 = -5*a - 5. Let -1/4*f**5 + 0*f - f**3 + 0*f**a + 0 + f**4 = 0. Calculate f.
0, 2
Let u(b) be the third derivative of -5*b**8/336 + b**6/8 + b**5/6 + 19*b**2. What is c in u(c) = 0?
-1, 0, 2
Factor 6/7 + 6/7*q**3 + 26/7*q**2 + 26/7*q.
2*(q + 1)*(q + 3)*(3*q + 1)/7
Suppose 0 = -2*b - 0*a - 3*a - 2, -2*a = 4*b - 4. Let t(m) be the first derivative of 4/9*m**3 - 1/6*m**4 - 1/3*m**b + 0*m + 2. Factor t(v).
-2*v*(v - 1)**2/3
Let -197*n**5 - 197*n**5 + 14*n + 4 - 4*n**4 + 4*n**3 + 16*n**2 + 392*n**5 = 0. Calculate n.
-1, 2
Let k(s) = 8*s**3 + 32*s**2 + 12*s. Let p(l) = 3*l**3 + 13*l**2 + 5*l. Let q(d) = -5*k(d) + 12*p(d). Determine i, given that q(i) = 0.
-1, 0
Let j(h) be the second derivative of 5*h + 0 - 1/30*h**5 + 0*h**4 + 1/3*h**3 - 2/3*h**2. Find z, given that j(z) = 0.
-2, 1
Suppose 0 = -3*f - 0*f + 6. Suppose p - p**2 + 4*p**2 - 2 - f*p**2 = 0. What is p?
-2, 1
Factor a**2 + 5*a**3 - 4*a - 4*a**3 + 3*a - a**4.
-a*(a - 1)**2*(a + 1)
Let p(k) = -20*k**3 - 32*k**2 - 14*k + 24. Let b(r) = 7*r**3 + 11*r**2 + 5*r - 8. Let v(w) = -14*b(w) - 5*p(w). Factor v(l).
2*(l - 1)*(l + 2)**2
Let g(n) = -n**3 - n**2 - 4*n + 3. Let p be (4 + -56)/(-1 - -2). Let z(q) = -8*q**3 - 8*q**2 - 36*q + 26. Let i(x) = p*g(x) + 6*z(x). Factor i(d).
4*d*(d - 1)*(d + 2)
Let z = -13 + 13. Suppose -3*p + 4 = -p. Solve 2/7*h**p + 2/7*h + z = 0.
-1, 0
Let n(o) be the third derivative of -1/30*o**5 + 0*o**3 + 0*o + 0 + 1/24*o**6 + 0*o**4 - 4*o**2. Factor n(s).
s**2*(5*s - 2)
Let l(o) be the third derivative of o**6/150 - o**4/10 - 4*o**3/15 + 27*o**2 - 2. Find z, given that l(z) = 0.
-1, 2
Let s be (-2 - -8)*(-1)/(-4). Let u = -5/4 + s. Find r, given that 1/2*r**2 + u*r**5 - 3/4*r + 1/4 - 3/4*r**4 + 1/2*r**3 = 0.
-1, 1
Factor -5*k**5 - 20*k**4 - 15*k**3 + 265*k**2 - 265*k**2.
-5*k**3*(k + 1)*(k + 3)
Factor 1 - 15*k**3 - 16*k + 4*k**4 + 2 + 1 + 24*k**2 - k**3.
4*(k - 1)**4
Let v(d) be the third derivative of d**5/390 + d**4/78 - d**3/13 - 15*d**2. Determine r so that v(r) = 0.
-3, 1
Let r(c) be the third derivative of 3*c**7/14 - 13*c**6/20 + 13*c**5/20 - c**4/4 + 17*c**2. Suppose r(t) = 0. Calculate t.
0, 1/3, 2/5, 1
Let u(v) be the third derivative of -v**8/15680 - v**7/5880 + 5*v**4/24 - 4*v**2. Let r(y) be the second derivative of u(y). Factor r(f).
-3*f**2*(f + 1)/7
Suppose 5*b + 3 - 13 = 2*v, 4*v + 4 = 2*b. Suppose -b*h + 4 + 4 = 0. Determine i, given that -14 + i**h + 14 - 2*i + 5*i**2 - 4*i**3 = 