)**2
Let v(k) be the first derivative of -5*k**2 + 17/10*k**5 + 2*k - 1/4*k**6 - 37/8*k**4 + 13/2*k**3 + 1. Let v(o) = 0. What is o?
2/3, 1, 2
Suppose 2*s = -5 + 19. Suppose 5*y = -s + 22. Factor 1/2 - 1/2*j**4 + j**y - j + 0*j**2.
-(j - 1)**3*(j + 1)/2
Let i = 214/33 - 64/11. Factor -4/3*b**2 + i*b**4 - 2/3*b**3 + 0*b + 0.
2*b**2*(b - 2)*(b + 1)/3
Let r(m) be the first derivative of -m**6/15 - m**5/5 + 2*m**3/3 + m**2 - 2*m + 1. Let f(i) be the first derivative of r(i). Factor f(j).
-2*(j - 1)*(j + 1)**3
Let u(j) be the first derivative of 4*j + 16/3*j**3 - 7*j**2 - 2 - 4/5*j**5 - j**4 + 1/3*j**6. What is w in u(w) = 0?
-2, 1
Let g be 2/44*4/8*8. Let -4/11*f**3 + 0 + 6/11*f**2 - g*f = 0. Calculate f.
0, 1/2, 1
Let y(n) = n**3 + 6*n**2 - 2*n. Let l be y(-4). Let v be l/15 + 2/(-3). Factor 2/3*k**3 - 2/3*k + 2/3 - 2/3*k**v.
2*(k - 1)**2*(k + 1)/3
Suppose -9 = -5*w + 1. Factor 2/3*q - 4/3*q**3 + 0*q**4 + 2/3*q**5 + 0 + 0*q**w.
2*q*(q - 1)**2*(q + 1)**2/3
Let z be ((-44)/(-14))/(78/16). Let y = z - -2/91. What is k in -y*k**3 + 2/3*k**2 + 2/3*k - 2/3 = 0?
-1, 1
Let l(j) be the first derivative of 0*j + 0*j**2 + 1/2*j**4 - 1/3*j**3 - 2 - 1/5*j**5. Factor l(s).
-s**2*(s - 1)**2
Let t = 1 - -5. Solve -6*w**4 + 4 - 4 - t*w**3 - 2*w**5 - 2*w**2 = 0.
-1, 0
Factor -6*r**2 + 2 + 4 + 3*r**3 - r - 2*r.
3*(r - 2)*(r - 1)*(r + 1)
Let f(o) = o. Let q(j) = 4*j**2 - 12*j - 8. Let r(c) = 8*f(c) + q(c). Factor r(m).
4*(m - 2)*(m + 1)
Let i(n) be the first derivative of -2*n**3/3 + 2. Factor i(c).
-2*c**2
Let 0*q**3 + 2*q**2 - 2/3*q**4 - 4/3*q + 0 = 0. Calculate q.
-2, 0, 1
Let y be (-2)/(-7) - (-2)/(-7). Suppose -5*k + 5*n + 10 = 2*n, -2*n = y. Factor 2*l**3 - 4*l**2 - 2*l - k*l**2 + 4*l**2 + 2*l**4.
2*l*(l - 1)*(l + 1)**2
Let l(n) be the second derivative of n**5/30 + n**4/6 + 2*n**2 + 5*n. Let k(s) be the first derivative of l(s). Factor k(y).
2*y*(y + 2)
Let z(b) be the second derivative of b**6/30 + b**5/5 + b**4/2 + 2*b**3/3 - 5*b**2/2 - 9*b. Let k(x) be the first derivative of z(x). Let k(n) = 0. What is n?
-1
Let u(t) be the second derivative of t**5/8 + 25*t**4/24 + 35*t**3/12 + 15*t**2/4 + 15*t. Factor u(s).
5*(s + 1)**2*(s + 3)/2
Let f(r) be the second derivative of -r**5/20 - 5*r**4/12 - r**3/3 - 7*r**2/2 + 6*r. Let k be f(-5). Factor -2/9 + 2/9*p**2 - 2/9*p**k + 2/9*p.
-2*(p - 1)**2*(p + 1)/9
Let s be 1 + 0/(-1) + 12. Suppose 5 = -4*x + s. Factor -2*z**2 + 2*z**2 - 2*z**x + 2*z.
-2*z*(z - 1)
Let r(c) be the second derivative of c**4/22 + 2*c**3/11 + 12*c - 3. Factor r(h).
6*h*(h + 2)/11
Let t(o) be the first derivative of -5/6*o**2 - 1/3*o**3 - 2/3*o - 2. Find s, given that t(s) = 0.
-1, -2/3
Let k = 2/3961 + 3955/11883. Factor 1/3*g**2 - 1/3 + 1/3*g**3 - k*g.
(g - 1)*(g + 1)**2/3
Let q(x) be the first derivative of -5 + 0*x**2 + 2/9*x**3 - 2/3*x. Determine n so that q(n) = 0.
-1, 1
Let f = 167 + -163. Suppose -44/7*y**2 - 72/7*y - 16/7 + 122/7*y**3 + 60/7*y**f - 50/7*y**5 = 0. What is y?
-1, -2/5, 1, 2
Let w(g) = 2*g**3 - 15*g**2 + 13*g. Let n(o) = o**3 - 8*o**2 + 7*o. Suppose 0 + 18 = 3*v. Let y(x) = v*w(x) - 11*n(x). Factor y(i).
i*(i - 1)**2
Let o(k) be the second derivative of -k**6/2 - 5*k**5/4 + 5*k**4/3 + 10*k**3/3 + 27*k. Factor o(s).
-5*s*(s - 1)*(s + 2)*(3*s + 2)
Let y(j) be the third derivative of -j**6/240 + j**4/48 + 19*j**2. Factor y(s).
-s*(s - 1)*(s + 1)/2
Let j(n) be the third derivative of n**6/10 + 8*n**5/15 - n**4/2 + 11*n**2. Factor j(r).
4*r*(r + 3)*(3*r - 1)
Let z = 5 + -3. Suppose 5*p + 4 = 2*p - 4*x, 3*x = -z*p - 4. Factor -2*b**5 + 0*b**4 + 4*b**2 - 4*b**p + 2*b + 0*b**4.
-2*b*(b - 1)*(b + 1)**3
Let s(q) be the second derivative of q**4/36 - q**3/9 - 2*q. Factor s(w).
w*(w - 2)/3
Suppose -5*x + 2 = -8. Let t = x + 2. Determine n, given that 6*n**t + 14*n**5 - 48/7*n**3 + 0*n + 0 + 8/7*n**2 = 0.
-1, 0, 2/7
Let n = -3 + -1. Let x(q) = q**3 + 3*q**2 - 4*q. Let k be x(n). Factor -2*o**4 - 1 + 1 + k - 4*o**3 - 2*o**2.
-2*o**2*(o + 1)**2
Let z = -13/4 - -4. Factor 3/4 + 15/2*f**2 + 15/4*f**4 - 15/2*f**3 - z*f**5 - 15/4*f.
-3*(f - 1)**5/4
Let f(d) be the first derivative of -1/3*d**3 - 1 - 1/2*d**6 + 0*d - 7/5*d**5 - 5/4*d**4 + 0*d**2. Factor f(h).
-h**2*(h + 1)**2*(3*h + 1)
Let l be 5 + 2 + 3 + -6. Suppose 2*s = l*s. Factor 6/7*w**3 + 0*w**2 + 2/7*w**4 + s + 0*w.
2*w**3*(w + 3)/7
Let o(t) be the first derivative of 0*t + 3/8*t**2 + 1 - t**3. Solve o(w) = 0.
0, 1/4
Let j(r) be the first derivative of 3*r**4/2 + 8*r**3/3 - r**2 - 4*r - 7. Factor j(n).
2*(n + 1)**2*(3*n - 2)
Let q(n) = -14*n**3 - 10*n**2 + 2*n + 2. Let z(v) = -v**3 - v**2 - v + 1. Let w(k) = q(k) - 10*z(k). Factor w(p).
-4*(p - 1)**2*(p + 2)
Let w(f) = 10*f**3 + 13*f**2 - f + 4. Suppose 0*x + x = -3. Let v(s) = -9*s**3 - 12*s**2 - 3. Let h(z) = x*w(z) - 4*v(z). Factor h(l).
3*l*(l + 1)*(2*l + 1)
Let a(z) be the third derivative of -z**6/90 - 13*z**5/60 - 5*z**4/4 + 25*z**3/18 - 22*z**2. Let a(j) = 0. Calculate j.
-5, 1/4
Let l(i) be the first derivative of -5*i - 2 + i**3 + 8*i - 1 - i**2 - 2*i**2. Determine y so that l(y) = 0.
1
Let w(d) be the second derivative of -1/84*d**7 + 0 + 4*d + 1/30*d**6 + 0*d**5 + 0*d**2 - 1/12*d**4 + 1/12*d**3. Determine g, given that w(g) = 0.
-1, 0, 1
Let o(r) = -5*r**4 - 3*r**3 - 2*r**2 - 2*r. Let j(b) = 36*b**4 + 21*b**3 + 15*b**2 + 15*b. Let i(m) = -2*j(m) - 15*o(m). Solve i(h) = 0 for h.
-1, 0
Let d(m) be the third derivative of -2*m**2 + 1/24*m**4 + 0 - 1/360*m**6 + 1/9*m**3 + 0*m**5 + 0*m. Factor d(x).
-(x - 2)*(x + 1)**2/3
Let o = 7/30 - -1/10. Let z be 2 + 16/6 + -4. Factor z*x + 1/3 + o*x**2.
(x + 1)**2/3
Let i = -6/11 + 40/33. Factor 1/3*t**2 - i - t + 1/3*t**4 + t**3.
(t - 1)*(t + 1)**2*(t + 2)/3
Let z(w) be the first derivative of 13/40*w**5 + 9/80*w**6 + 3/2*w**2 + 1/9*w**3 + 0*w + 3 + 5/18*w**4. Let q(i) be the second derivative of z(i). Factor q(k).
(k + 1)*(9*k + 2)**2/6
Suppose -2*g = -5 + 1. Let l(m) be the third derivative of 0 + 1/15*m**5 - 1/60*m**6 - 1/12*m**4 + 0*m + 0*m**3 - m**g. Determine o, given that l(o) = 0.
0, 1
Suppose -12 = 4*p - 3*z, 4*p - p = 2*z - 8. Suppose w = g, g = -p*g. Find m, given that 2/5*m**5 + 0*m + 4/5*m**4 + 2/5*m**3 + 0*m**2 + w = 0.
-1, 0
Let p = -16 - -28. Suppose 0 = 5*y + 4*z - p, 3*y + 3 = -y + z. Factor y*n + 1/3*n**2 - 1/3.
(n - 1)*(n + 1)/3
Let s(y) be the third derivative of -y**8/5040 + y**7/1260 - y**6/1080 - y**3/3 + 3*y**2. Let i(v) be the first derivative of s(v). Factor i(o).
-o**2*(o - 1)**2/3
Let n(g) = g**3 + 2*g**2 - 2*g + 128. Let w be n(0). Suppose w*p**3 + 49/2*p**5 - 40*p + 217/2*p**4 + 8 - 4*p**2 = 0. What is p?
-2, -1, 2/7
Let k be ((-1)/1)/(8 + 25/(-3)). Factor -1/3 + 2*u + 4*u**k - 13/3*u**2 - 4/3*u**4.
-(u - 1)**2*(2*u - 1)**2/3
Let v be 2/6*0 + 4. Let k(c) be the first derivative of 1 + 0*c**2 + 0*c - 1/4*c**v + 0*c**3. Factor k(p).
-p**3
Let k be (-8 - -10) + (-200)/110. Solve 0 - k*w**3 - 2/11*w - 4/11*w**2 = 0.
-1, 0
Suppose -4 = 5*x + 4*q, -3*x - 2*q - 1 = 1. Let o(d) be the third derivative of x*d**3 + 1/180*d**6 + 0*d + 0*d**4 - 3*d**2 + 1/90*d**5 + 0. Factor o(l).
2*l**2*(l + 1)/3
Let h(o) = o**2 + o. Let p(n) = n**3 - 4*n**2 - 2*n + 6. Let d be p(4). Let v be h(d). Factor 5*c**3 - c**3 + c - v*c - 3*c**3.
c*(c - 1)*(c + 1)
Let g = -69/8 - -637/72. Let l(w) be the first derivative of 14/45*w**5 + g*w**3 - 2/3*w**4 + 4 + 0*w + 2/9*w**2. Let l(y) = 0. Calculate y.
-2/7, 0, 1
Let k(x) be the third derivative of 0 - 1/330*x**5 - 4*x**2 + 0*x - 3/11*x**3 + 1/22*x**4. Let k(l) = 0. Calculate l.
3
Let l(x) be the second derivative of -7*x**6/360 + x**5/15 - x**4/24 - x**3/9 - x**2 + 2*x. Let z(o) be the first derivative of l(o). Factor z(k).
-(k - 1)**2*(7*k + 2)/3
Let k(d) be the third derivative of -2*d**7/315 - d**6/30 + d**5/15 + 11*d**4/18 + 4*d**3/3 + 37*d**2. Suppose k(o) = 0. What is o?
-3, -1, 2
Let w(h) = -37*h**2 + 7*h - 2. Let b(o) = 260*o**2 - 50*o + 15. Let t(d) = -2*b(d) - 15*w(d). Suppose t(z) = 0. What is z?
0, 1/7
Let f(o) be the second derivative of 2*o**2 - 1/21*o**7 + 2/5*o**5 + 0 - o**3 - 1/3*o**4 + 5*o + 0*o**6. Factor f(q).
-2*(q - 1)**3*(q + 1)*(q + 2)
Let a(t) be the first derivative of -t**4/14 - 10*t**3/21 - 8*t**2/7 - 8*t/7 - 3. Solve a(n) = 0.
-2, -1
Let p be 105/6 - (-7)/14. Let s be 4/p + (-432)/(-243). Factor 0*v + 1/4 -