0*o**5 - 13/6*o**4 - 57/40*o**6 - 18/35*o**7 + 0 - 4/3*o**3 - 4*o**2. Factor h(v).
-(v + 1)**2*(3*v + 2)**3
Let n(c) be the first derivative of 2*c**6/27 - 4*c**5/45 - 8*c**4/9 + 32*c**3/27 + 32*c**2/9 - 64*c/9 - 11. What is j in n(j) = 0?
-2, 1, 2
Suppose 6*j - 2*j = 20. Let q be (1 - 1)*3/(-6). Factor -h**3 - 4*h + q*h + j*h.
-h*(h - 1)*(h + 1)
Let q(z) be the second derivative of 0*z**2 + 0 - 1/9*z**3 - 7/90*z**6 + 3*z + 1/30*z**5 + 7/36*z**4. Factor q(p).
-p*(p - 1)*(p + 1)*(7*p - 2)/3
Let v = 1 + 2. Factor 4*u**4 - 18 + 19 - 4*u**2 - 2*u - u**4 + 2*u**v.
(u - 1)*(u + 1)**2*(3*u - 1)
Suppose -1/4*a + 1/4*a**3 - 1/4 + 1/4*a**2 = 0. What is a?
-1, 1
Let h = -4/77 - -97/385. Let 0*t + 0*t**3 + 1/5*t**4 + h - 2/5*t**2 = 0. Calculate t.
-1, 1
Let d be 1/2*(8 - 4). Suppose 32*t**3 + d*t + 7*t + 2*t - 7*t + 14*t**4 + 22*t**2 = 0. Calculate t.
-1, -2/7, 0
Let y(z) = -13*z**2 - 11*z. Suppose -2*u - 4 - 18 = 0. Let s(n) = -7*n**2 - 6*n. Let k(q) = u*s(q) + 6*y(q). Factor k(j).
-j**2
Factor 0 - 18/5*l**3 + 4/5*l + 14/5*l**2.
-2*l*(l - 1)*(9*l + 2)/5
Let n(i) = -i**3 - 8*i**2 + 14*i - 8. Let g(b) = -4*b**3 - 25*b**2 + 43*b - 24. Let f(j) = -6*g(j) + 21*n(j). Factor f(w).
3*(w - 2)**3
Solve 4*d**3 + 12 - 3*d - 4*d + 9*d - 6*d - 12*d**2 = 0 for d.
-1, 1, 3
Let t(b) be the first derivative of 4*b**3/3 + 60*b**2 + 900*b - 45. Find l, given that t(l) = 0.
-15
Suppose 0 = -4*g + z + 7, -17*z - 9 = -2*g - 22*z. Suppose -4/7*l + 2/7*l**g + 2/7 = 0. What is l?
1
Let b(n) be the second derivative of n**9/45360 - n**8/20160 - n**7/7560 + n**6/2160 + n**4/3 + 5*n. Let j(v) be the third derivative of b(v). Factor j(p).
p*(p - 1)**2*(p + 1)/3
Suppose -14*f + f**2 + 13 + f**2 - 1 = 0. What is f?
1, 6
Let c(n) be the third derivative of n**6/30 + 3*n**5/5 + 4*n**4 + 32*n**3/3 - 20*n**2 + 2. Suppose c(y) = 0. Calculate y.
-4, -1
Let a = -5 + 9. Let q be (a - 2) + (-7)/4. Find d such that 0 + q*d**2 - 1/4*d = 0.
0, 1
Suppose 3*b**3 - 3*b**2 - 6*b - 77 + 77 = 0. What is b?
-1, 0, 2
Let h(p) be the first derivative of 1/15*p**5 - 1/2*p**2 + 1/9*p**3 - 2/3*p + 5 + 1/4*p**4. Suppose h(n) = 0. What is n?
-2, -1, 1
Let k(c) be the first derivative of -1/10*c**4 - 2/5*c**3 - 3/5*c**2 - 2/5*c + 4. Suppose k(o) = 0. What is o?
-1
Let h = -2022/7 - -290. Factor 0*t - h + 2/7*t**2.
2*(t - 2)*(t + 2)/7
Let x = 472/5 + -94. Factor -x*h**3 + 0*h + 0 - 2/5*h**2 + 2/5*h**5 + 2/5*h**4.
2*h**2*(h - 1)*(h + 1)**2/5
Suppose -4*o - 3*h = 2*h - 7, 5*o + h = 14. Suppose j + c = -0*c - o, -2*c - 8 = j. Factor -2/5*n**j - 2/5*n + 0.
-2*n*(n + 1)/5
Let g(y) be the first derivative of -y**3/9 + y/3 + 2. Let g(r) = 0. Calculate r.
-1, 1
Factor -3/2*f**4 + 0*f**3 + 2*f**2 + 1/2*f**5 + 0 + 0*f.
f**2*(f - 2)**2*(f + 1)/2
Let q = 63/53 + 3/265. Determine f, given that 2/5 + 2/5*f**3 + 6/5*f + q*f**2 = 0.
-1
Let c be 0 - 0 - (6 + (-30)/5). Solve 4/3*j**3 - 4/3*j**5 + c*j + 0 + 0*j**2 + 0*j**4 = 0.
-1, 0, 1
Let u(z) be the second derivative of z**4/24 - z**3/6 + 9*z. Factor u(h).
h*(h - 2)/2
Let f = 8 + -8. Suppose u = 3*c + 3*u - 16, f = -5*c + u + 18. Factor -4/5*s**3 + 2/5*s**5 + 0*s**2 + 0*s**c + 0 + 2/5*s.
2*s*(s - 1)**2*(s + 1)**2/5
Let m = 43 + -25. Suppose -2*z**2 + z**2 + 27 - 12*z - m + 4*z**2 = 0. What is z?
1, 3
Factor 0 - 1/7*b**3 + 2/7*b + 1/7*b**2.
-b*(b - 2)*(b + 1)/7
Let w(o) = -o**2 + 6*o - 3. Let h be w(5). Let d = 127/3 + -42. Solve 1/3*l**h + d*l**4 - 2/3 - l**3 + l = 0 for l.
-1, 1, 2
Let m = 31/120 - 1/120. Solve -m*o**2 - 1/2*o + 0 = 0.
-2, 0
Let b(k) be the third derivative of k**8/168 - 2*k**7/105 - 11*k**2. Find v, given that b(v) = 0.
0, 2
Let x(f) = f - 4. Suppose -13 = -3*n + 5*w, 3*n = -2*n - 3*w + 33. Let z be x(n). Factor 0*b**2 - 3*b**3 + 2*b**3 + b**z.
-b**2*(b - 1)
Suppose 2*g - 7 = -b + 3*g, -b - 2*g = 5. Let v(m) be the third derivative of -2/3*m**b + 1/60*m**6 + 0*m - 2/15*m**5 + 5/12*m**4 + 0 + m**2. Factor v(r).
2*(r - 2)*(r - 1)**2
Let z(o) be the third derivative of -o**6/60 + o**5/10 - o**4/6 - 27*o**2. Determine f, given that z(f) = 0.
0, 1, 2
Let x be 4 + -2 + 15/(-10). Let m(i) be the second derivative of -x*i**2 + i - 2/3*i**4 + 5/6*i**3 + 1/5*i**5 + 0. Factor m(y).
(y - 1)*(2*y - 1)**2
Let o(q) be the third derivative of q**5/75 + q**4/15 + 10*q**2. Find i such that o(i) = 0.
-2, 0
Let g = 58 - 58. Suppose -i**3 + 3/2*i**2 + g*i - 1/2 = 0. What is i?
-1/2, 1
Let s(i) be the second derivative of 0 - 17/30*i**5 - 8/3*i**2 + 1/9*i**6 + 20/9*i**3 + 1/3*i**4 - i. Determine k so that s(k) = 0.
-1, 2/5, 2
Suppose -107*o = -113*o. Determine w so that 0*w - 6/7*w**3 + 2/7*w**2 + 6/7*w**4 + o - 2/7*w**5 = 0.
0, 1
Let w be 5/2*(-8)/(-10). Factor x + x**2 - w*x + 1 - 1.
x*(x - 1)
Let z(a) be the second derivative of a**4/48 - a**3/12 - 2*a. Solve z(r) = 0 for r.
0, 2
Let d(q) be the first derivative of -4/9*q**3 + 1/3*q**2 + 1/9*q**6 - 1/3*q**4 + 2/3*q + 2/15*q**5 + 1. Factor d(x).
2*(x - 1)**2*(x + 1)**3/3
Let z(x) be the first derivative of -x**6/21 - 6*x**5/35 + x**4/14 + 2*x**3/7 - 36. What is m in z(m) = 0?
-3, -1, 0, 1
Let f(y) = -3*y + 7. Let l be f(6). Let x be l/(-3) - 4/6. Factor -x*p + p**2 + p + 5*p - p.
p*(p + 2)
Find l such that -4/9*l + 0 + 2/9*l**3 + 2/9*l**2 = 0.
-2, 0, 1
Let t(a) = 0*a + 12 + 4 + 2*a + 3. Let v be t(-8). Factor 2*c**2 - 11/4*c**v + c + 0 + 3/4*c**4.
c*(c - 2)**2*(3*c + 1)/4
Factor -106*l**3 + 107*l**3 + 3*l**2 - 4*l**2.
l**2*(l - 1)
Let r(f) be the second derivative of -1/16*f**5 + 1/6*f**3 - 7*f - f**2 + 0 + 1/120*f**6 + 1/8*f**4. Factor r(x).
(x - 2)**3*(x + 1)/4
Let z(f) be the first derivative of f**6/2520 + f**5/840 + f**3/3 + 7. Let y(s) be the third derivative of z(s). Find q, given that y(q) = 0.
-1, 0
Let a(m) be the first derivative of m**7/18 - 2*m**6/15 + m**5/20 + m**4/18 + 5*m + 3. Let i(y) be the first derivative of a(y). Factor i(u).
u**2*(u - 1)**2*(7*u + 2)/3
Let c(d) be the third derivative of d**8/112 - 4*d**7/105 + d**6/40 + d**5/30 - 3*d**2. Factor c(o).
o**2*(o - 2)*(o - 1)*(3*o + 1)
Suppose 2*l - 12 = -0*l. Let p be (-240)/(-594) - l/33. Find c, given that 0*c**2 + 0*c + 2/9*c**3 + 0 + p*c**4 = 0.
-1, 0
Suppose -4*j = 7*y - 2*y - 27, 3*j + 3 = 4*y. Suppose 2*w - 8 = -0*w, y*c = 2*w - 2. Factor -1 - 5 - 2*n**c + 8*n - 2.
-2*(n - 2)**2
Let x(i) = 29*i**2 - 3*i**3 - i - 21*i**2 + 8 + 2*i**3. Let d be x(8). Determine p, given that -1/2*p**5 + 1/2*p**3 + 0 + 0*p + d*p**4 + 0*p**2 = 0.
-1, 0, 1
Let i be 16/(-32) - (-1)/(-2) - -1. Factor -1/3*n**3 + i + 1/3*n**2 + 2/3*n.
-n*(n - 2)*(n + 1)/3
Suppose -3*h + h = -10. Let l be (h - 6)*(-1)/2. Let l*n**2 - 1 + 1/2*n = 0. What is n?
-2, 1
Let g(i) be the third derivative of i**6/540 + i**5/18 + 25*i**4/36 + 125*i**3/27 + 4*i**2 + 2. Solve g(l) = 0 for l.
-5
Let y(a) be the second derivative of -1/40*a**5 - 1/24*a**3 + 2*a - 1/16*a**4 + 0*a**2 + 0. Factor y(n).
-n*(n + 1)*(2*n + 1)/4
Let l(f) be the first derivative of f**8/336 - f**7/105 + f**6/120 + 3*f**2/2 + 4. Let v(w) be the second derivative of l(w). Let v(d) = 0. What is d?
0, 1
Let z(d) be the first derivative of -d**3/6 - d**2/2 - d/2 - 3. Factor z(t).
-(t + 1)**2/2
Let b(l) be the second derivative of l**5/20 - l**4/4 + 6*l. Factor b(t).
t**2*(t - 3)
Let m(w) be the second derivative of 0*w**3 - 1/21*w**7 + 1/6*w**6 + 1/12*w**4 - 3*w + 0 - 1/5*w**5 + 0*w**2. Factor m(l).
-l**2*(l - 1)**2*(2*l - 1)
Let x(y) be the first derivative of 2*y**9/63 - y**8/14 + 3*y**7/70 + y**6/60 - y**5/40 + y**3 - 3. Let t(s) be the third derivative of x(s). Factor t(m).
3*m*(2*m - 1)**3*(4*m + 1)
Let l(u) be the second derivative of -4*u + 0 - 1/48*u**4 + 0*u**2 + 1/24*u**3. Factor l(p).
-p*(p - 1)/4
Let j(d) be the first derivative of d**3/9 + d**2/3 - 8*d/3 + 5. Factor j(h).
(h - 2)*(h + 4)/3
Factor 20 - 197*l**2 - 186*l**2 - 5*l**4 + 368*l**2 - 20*l + 20*l**3.
-5*(l - 2)**2*(l - 1)*(l + 1)
Let -7*f**5 - 3*f**2 + 8*f**2 - 5*f**4 + f**3 + 4*f**3 + 2*f**5 = 0. What is f?
-1, 0, 1
Let g be (-4 - (-2 + -3))*(-12)/(-3). Let t(u) be the first derivative of 3 - 1/5*u**5 + 1/2*u**g - u**2 + 0*u**3 + u. Solve t(w) = 0 for w.
-1, 1
Let t(w) be the first derivative of w**4/4 + 7*w**3/3 + 3*w**2 + 3. Let l be t(-6). Factor 2/3*p - 4/3*p**2 + 4/3*p**4 + l*p**3 - 2/3*p**5 + 0.
-2*p*(p - 1)**3*(p + 1)/3
Let b be -3 + (1/1 - -5). Factor 3*