 second derivative of 3*s**7/49 + 2*s**6/35 - 23*s**5/70 + 2*s**4/21 + 4*s**3/21 - 5*s. Let l(h) = 0. What is h?
-2, -1/3, 0, 2/3, 1
Let j(y) = 6*y**3 - 9*y - 3. Let r(w) be the second derivative of -17*w**5/20 + 14*w**3/3 + 4*w**2 - 10*w. Let z(o) = 8*j(o) + 3*r(o). Factor z(a).
-3*a*(a - 2)*(a + 2)
Let s be 2/(-8)*28/(-11). Let v = 32/33 - s. Factor -v + 1/3*b**2 + 0*b.
(b - 1)*(b + 1)/3
Let t be (35/105)/(7/3). Solve -3/7*i**3 - 1/7*i + t*i**4 + 0 + 3/7*i**2 = 0 for i.
0, 1
Suppose 4*d + 3*a = 12, 5*d = -a + 9 + 6. Factor -4*p + 5 + 9 + 4*p**2 - 18 + 4*p**d.
4*(p - 1)*(p + 1)**2
Let l(w) = -7*w**2 + 2*w - 1. Let i be l(1). Let f(m) = -5*m**3 - 4*m**2 - m - 2. Let c(k) = -k**3 - k. Let r(b) = i*c(b) + f(b). Factor r(p).
(p - 2)*(p - 1)**2
Let c(l) be the second derivative of l**10/10080 - l**8/1120 + l**6/240 - 5*l**4/6 + 9*l. Let g(k) be the third derivative of c(k). Find d such that g(d) = 0.
-1, 0, 1
Let t = -45 + 47. Factor 6/7*p**t + 4/7 - 10/7*p.
2*(p - 1)*(3*p - 2)/7
Let n be 616/105*6/8. Let j = n + -61/15. Let j*v**3 - 1/3*v + 1/3*v**2 - 1/3 = 0. What is v?
-1, 1
Let m = -141 - -141. Let f(d) be the second derivative of m + 2*d + 1/10*d**4 - 1/50*d**5 - 4/5*d**2 + 0*d**3. Suppose f(u) = 0. Calculate u.
-1, 2
Let u = -106 - -958/9. Let h(x) be the first derivative of -10/9*x**5 + 0*x - 16/9*x**3 - 4 - u*x**2 - 5/2*x**4. Find g such that h(g) = 0.
-1, -2/5, 0
Let z(l) = -7*l**4 + 2*l**3 + 3*l**2 - 2*l. Let m(u) = -36*u**4 + 11*u**3 + 14*u**2 - 11*u. Let q(n) = -2*m(n) + 11*z(n). Factor q(w).
-5*w**2*(w - 1)*(w + 1)
Let s(m) be the first derivative of 0*m**4 + 0*m + 0*m**2 - 2/55*m**5 + 3 + 2/33*m**3. Suppose s(q) = 0. What is q?
-1, 0, 1
Let k(g) be the first derivative of -g**3/3 - 1. Suppose 5 = -2*q - 1. Let y(l) = -l**3 + 2*l**2. Let v(i) = q*k(i) - 2*y(i). Suppose v(n) = 0. What is n?
0, 1/2
Let s(t) be the third derivative of -t**5/390 - 2*t**4/39 + 6*t**2 - 5. Find c, given that s(c) = 0.
-8, 0
Factor -6*b - 4*b**2 + 5*b**2 + 2 + 0 - 9*b**2.
-2*(b + 1)*(4*b - 1)
Let h(z) be the third derivative of -z**7/252 + z**6/48 - z**5/24 + 5*z**4/144 - 10*z**2. Determine w so that h(w) = 0.
0, 1
Let i be ((-8)/3)/(2/(-3)). Let j(c) be the first derivative of -1/12*c**i + 1/3*c - 1/9*c**3 + 1/6*c**2 - 1. Let j(g) = 0. What is g?
-1, 1
Let y(v) be the first derivative of 1/3*v**2 + 4/9*v**3 - 1/9*v**6 + 0*v**4 - 8 - 4/15*v**5 + 0*v. Suppose y(k) = 0. Calculate k.
-1, 0, 1
Find v such that 12/7*v - 16/7*v**2 + 0 + 4/7*v**3 = 0.
0, 1, 3
Let t(r) be the third derivative of r**5/120 + r**4/48 + 9*r**2. Solve t(g) = 0.
-1, 0
Let a(v) be the third derivative of -v**8/56 - 11*v**7/105 - 23*v**6/90 - v**5/3 - v**4/4 - v**3/9 + 9*v**2. Suppose a(m) = 0. Calculate m.
-1, -1/3
Let h = 2 + 0. Solve 4*b**4 - 12*b**2 + 3 + 6*b**3 - 5 + h*b**3 - 6*b**4 + 8*b = 0 for b.
1
Let p = -145/3 + 3046/63. Let o(a) be the second derivative of 0*a**3 + a + 0*a**2 + 1/10*a**5 - 1/9*a**4 + 0*a**6 - p*a**7 + 0. Factor o(w).
-2*w**2*(w - 1)**2*(w + 2)/3
Suppose -10*l**2 - 10*l**2 + 0 + 15*l - 1 + 6 = 0. What is l?
-1/4, 1
Factor 3/4*w**2 - 3 + 0*w.
3*(w - 2)*(w + 2)/4
Let i(m) = 6*m + 2. Let o be (3 - 1) + 0 + 1. Let a(g) = -g**2 + 7*g + 2. Let n(j) = o*i(j) - 2*a(j). Solve n(d) = 0 for d.
-1
Let q be 10/(-8)*2*8/(-30). Solve -q*f**3 + 2*f**2 + 2/3 - 2*f = 0.
1
Suppose 0 = 4*o - 78 - 22. Solve -12*y + 8/5 + 30*y**2 - o*y**3 = 0 for y.
2/5
Let f(u) be the third derivative of 0*u + 1/45*u**5 - 1/60*u**6 + 0*u**3 + 0*u**4 + 5*u**2 + 0 + 1/315*u**7. Factor f(g).
2*g**2*(g - 2)*(g - 1)/3
Let s(k) = -k**3 - 4*k**2 + 3*k + 6. Let m be s(-4). Let q be 0*(9/m - -1). Factor 2/5*i**2 - 2/5*i + q + 4/5*i**3.
2*i*(i + 1)*(2*i - 1)/5
Let k(g) be the third derivative of 0 - 2*g**2 - 1/120*g**6 - 1/60*g**5 + 1/12*g**4 + 0*g + 0*g**3. Solve k(p) = 0.
-2, 0, 1
Let m(n) be the third derivative of n**5/15 + 4*n**4/3 + 32*n**3/3 + 27*n**2. Factor m(f).
4*(f + 4)**2
Let r = -117 + 117. Let -1/3*v**2 + r*v + 1/3 = 0. Calculate v.
-1, 1
Factor -8*p + 10*p - 9*p - 10*p - 10*p**2 - p**3 - 8.
-(p + 1)**2*(p + 8)
Let 4/5*l**4 - 16/5*l**2 + 16/5*l - 4/5*l**3 + 0 = 0. Calculate l.
-2, 0, 1, 2
Let f be 6/27 + 44/126. Factor 0 - 2/7*y**5 + 0*y + 0*y**2 - 2/7*y**3 - f*y**4.
-2*y**3*(y + 1)**2/7
Let v be 5*(132/15)/(-2). Let y = 156/7 + v. Suppose -y - 6/7*o**2 - 2/7*o**3 - 6/7*o = 0. What is o?
-1
Let d(u) = 11*u**4 - 5*u**3 - 34*u**2 + 66*u - 6. Let t(j) = 10*j**4 - 5*j**3 - 35*j**2 + 65*j - 5. Let g(f) = -5*d(f) + 6*t(f). Determine n so that g(n) = 0.
-3, 0, 2
Let i(a) be the third derivative of -a**6/480 - 3*a**5/80 - 5*a**4/32 + 25*a**3/24 + 56*a**2. Solve i(j) = 0 for j.
-5, 1
Let n(s) be the first derivative of s**7/210 - s**5/50 + s**3/30 + 7*s - 6. Let p(d) be the first derivative of n(d). Factor p(b).
b*(b - 1)**2*(b + 1)**2/5
Find t such that 2/11*t**2 + 0*t + 1/11*t**3 + 0 = 0.
-2, 0
Suppose 0*k + 0 + 2/11*k**5 + 4/11*k**2 + 8/11*k**4 + 10/11*k**3 = 0. What is k?
-2, -1, 0
Let v be -2 + 2*2/(-6)*-4. Solve v*h**3 - 2/3*h + 2/3*h**2 - 2/3 = 0.
-1, 1
Let f(i) = i**3 - i**2 - i. Let n(z) = z**5 + 2*z**4 - 11*z**3 + 4*z**2 + 12*z. Let o(v) = -24*f(v) - 3*n(v). Find c, given that o(c) = 0.
-2, 0, 1
Let j(z) be the third derivative of -1/10*z**3 + 0*z - 9/25*z**5 - 3/10*z**4 + 0 + 8*z**2. Factor j(m).
-3*(6*m + 1)**2/5
Suppose -3*q - 9 = -4*l + 3, 2*l - 6 = 2*q. Let m(p) be the first derivative of -2/3*p**3 + 1/2*p**4 + 1 + 0*p**2 + q*p. Suppose m(r) = 0. What is r?
0, 1
Let t = -60 - -62. Let k(o) be the first derivative of -1 + 1/2*o**t + 1/3*o**3 - o - 1/4*o**4. Factor k(d).
-(d - 1)**2*(d + 1)
Let r(k) be the second derivative of -1/6*k**4 - 1/3*k**3 + 1/15*k**6 + 1/10*k**5 + 0*k**2 + 0 + 6*k. Factor r(g).
2*g*(g - 1)*(g + 1)**2
Suppose -2*v + 24 = -c, -30 - 16 = -3*v + 4*c. Find l, given that v*l - l**2 - 10*l = 0.
0
Let c(a) = a**2 + 14 + 0 - 12*a**3 + 25*a**2 - 28*a. Let r(f) = f**2 - 1. Let j(t) = c(t) + 6*r(t). Factor j(s).
-4*(s - 1)**2*(3*s - 2)
Let b(c) = -c**2 - 5*c + 8. Let q be b(-6). Factor 2*k**2 + k**3 + q - 4*k**2 + 1 - 1 - k.
(k - 2)*(k - 1)*(k + 1)
Factor -1/7*r**3 - 1/7*r**2 + 1/7*r + 0 + 1/7*r**4.
r*(r - 1)**2*(r + 1)/7
Let r(p) be the third derivative of -p**5/20 - p**4/4 - p**3/2 + 14*p**2. Factor r(x).
-3*(x + 1)**2
Let r(m) be the first derivative of m**3/6 - 5*m**2/8 - 3*m/4 - 42. Solve r(w) = 0 for w.
-1/2, 3
Let f be 4 - -1 - (1 + 1 - 2). Let x(m) be the third derivative of 0 + 1/300*m**f + 0*m + 1/30*m**3 + m**2 + 1/60*m**4. Determine y, given that x(y) = 0.
-1
Find j, given that -8*j - 3*j + 6 - 2*j**3 + 20*j + 2*j**2 + j = 0.
-1, 3
Let x(i) = i**2 + 8*i + 3. Let d be x(-8). Let j(w) be the first derivative of 1/2*w + 1/2*w**2 + 1/6*w**d - 2. Factor j(z).
(z + 1)**2/2
Let a(i) be the first derivative of 7*i**3/12 - 19*i**2/8 - 3*i/2 - 15. Suppose a(q) = 0. Calculate q.
-2/7, 3
Let g(y) be the second derivative of 3*y**5/140 + y**4/28 - y**3/7 + 11*y. What is b in g(b) = 0?
-2, 0, 1
Let s = 463 + -3236/7. Let l = s + -1/21. Solve 4/3*h**2 + 2/3*h - 4/3 - l*h**3 = 0.
-1, 1, 2
Suppose -5*r - 15 = -4*n, -5*n + 4*n - 5*r = 15. Find y such that n*y**2 + 0 + 1/3*y**5 - 1/3*y**3 + 0*y + 0*y**4 = 0.
-1, 0, 1
Let c = -2 - -4. Let r be 1 - c*(2 - 3). Solve 8/7*k + 8/7*k**r - 12/7*k**2 - 2/7*k**4 - 2/7 = 0 for k.
1
Let n(m) be the third derivative of -m**5/450 + 2*m**4/45 - 16*m**3/45 + m**2. Solve n(b) = 0.
4
Factor -36/7 - 4/7*k**2 - 24/7*k.
-4*(k + 3)**2/7
Let p(x) be the third derivative of 3*x**8/224 - x**7/70 - x**6/20 + x**5/20 + x**4/16 + 9*x**2. Let p(l) = 0. Calculate l.
-1, -1/3, 0, 1
Suppose 4*z - 11 = 9. Let n be (2/(-21))/((-6)/18). Solve -2/7*x - 6/7*x**4 - n*x**3 + 4/7*x**z + 6/7*x**2 + 0 = 0.
-1, 0, 1/2, 1
Let k(h) = 10*h**4 - 31*h**3 + 21*h**2 - 11*h - 11. Let g(o) = 2*o**4 - 6*o**3 + 4*o**2 - 2*o - 2. Let v(r) = 11*g(r) - 2*k(r). Factor v(z).
2*z**2*(z - 1)**2
Let v be 30/(-99) - (-2)/3 - 0. Factor -2/11*c**2 + 2/11*c**3 + 0 - v*c.
2*c*(c - 2)*(c + 1)/11
Let s(z) be the third derivative of 0*z - 2*z**2 + 0*z**3 + 1/60*z**5 - 1/36*z**4 + 0. Factor s(y).
y*(3*y - 2)/3
Let q be ((-1)/(4/(-4)))/4. Let y(w) be the first derivative of -2 + q*w**2 + 0*w**4 + 0*w - 1/3*w**3 + 1/5*w**5 - 1/12*w**6. Let y(r) = 0. Calculate r.
-1, 0, 1
Let i be 8/(-12) - 21/(-18). L