 2/3*z**3. Let b(j) = 0. What is j?
1
Let o(x) be the third derivative of -x**10/22400 + x**9/20160 + x**8/20160 - x**5/20 + 4*x**2. Let z(j) be the third derivative of o(j). Factor z(q).
-q**2*(3*q - 2)*(9*q + 2)/4
Let h = 5/6 + -1/12. Determine u, given that 1/2*u**4 + 1/4 + 1/4*u - 1/4*u**3 - h*u**2 = 0.
-1, -1/2, 1
Let v(y) be the first derivative of -y**7/14 - y**6/5 + y**4/2 + y**3/2 + 3*y + 3. Let z(r) be the first derivative of v(r). Factor z(w).
-3*w*(w - 1)*(w + 1)**3
What is f in 55*f**3 + 2*f**4 + 6*f**2 - 59*f**3 - 4*f**2 = 0?
0, 1
Let y(h) = h - 3. Let a be y(-5). Let r = -5 - a. Suppose -w + 0*w**3 + 3*w**r - 2*w**3 = 0. Calculate w.
-1, 0, 1
Let z(d) = 3*d**3 + 5*d. Let k(j) = -2*j + 1. Let l be k(-2). Let n(r) = 4*r**3 + 6*r. Let f(y) = l*z(y) - 4*n(y). Factor f(b).
-b*(b - 1)*(b + 1)
Let h(t) = -t + 7. Let w be h(5). Let x(m) = -15*m**2 - 71*m - 34. Let l(a) = 3*a**2 + 14*a + 7. Let g(v) = w*x(v) + 11*l(v). Factor g(o).
3*(o + 1)*(o + 3)
Let q(v) be the first derivative of 1/3*v**3 + 1/15*v**5 + 5 + 0*v + 1/6*v**2 + 1/4*v**4. Factor q(s).
s*(s + 1)**3/3
Let r(b) be the second derivative of b**4/48 - b**3/12 - 3*b**2/8 + 9*b. Let r(v) = 0. What is v?
-1, 3
Let n(i) = 2*i. Suppose 0*m + 5*m - 10 = 0, 2*r - 4*m = 0. Let h be n(r). Solve -4*o + 4*o**4 - o**3 + 2 - h*o**2 + 2*o**4 + 5*o**3 = 0.
-1, 1/3, 1
Let b(j) = j**2 - 6*j + 3. Let a be b(6). Find q, given that -q**2 + 2*q**2 - q - q**2 - q**2 + q**a + 1 = 0.
-1, 1
Factor 1/5*d**2 - 3/5*d**3 - 1/5*d**4 + 1/5*d**5 + 0 + 2/5*d.
d*(d - 2)*(d - 1)*(d + 1)**2/5
Let y(h) be the third derivative of -h**6/105 + h**5/35 + h**4/14 - 4*h**3/21 - 7*h**2. Solve y(g) = 0 for g.
-1, 1/2, 2
Let q(k) = -17*k - 15. Let z be q(-1). Find l such that 1/2*l**4 + 0*l + 1/2*l**z + 0 - l**3 = 0.
0, 1
Let v be 5/3 + (-2)/(-6). Suppose -3*j - 2*i + 14 = 0, -v*j - 4 = -2*i - 0. Factor -5*x - 3*x + j + 2 + 5*x**2 - x**3.
-(x - 2)**2*(x - 1)
Let p(m) be the first derivative of -2/15*m**3 + 3 + 0*m**2 + 2/5*m. Factor p(t).
-2*(t - 1)*(t + 1)/5
Let r(g) be the second derivative of -g**7/1260 - g**6/90 - g**5/15 + g**4/6 + 2*g. Let o(x) be the third derivative of r(x). Solve o(i) = 0 for i.
-2
Let w(z) = 10*z**2 - 25*z - 32. Let c(b) = 2*b**2 + b. Let l(s) = -3*c(s) + w(s). Find a such that l(a) = 0.
-1, 8
Let g(z) be the second derivative of -z**6/150 + 3*z**5/50 - z**4/12 - z - 4. Factor g(j).
-j**2*(j - 5)*(j - 1)/5
Let j(x) be the second derivative of -x**4/108 - 7*x**3/54 - 5*x**2/9 - 22*x. Factor j(y).
-(y + 2)*(y + 5)/9
Let y = 19 - 13. Suppose -2 = -m + y. Let -m*s + 0 + 0 - 6*s**2 - 2*s**3 - 2*s**2 = 0. What is s?
-2, 0
Let p = 126 - 256. Let v = p - -652/5. Find y such that 2/5*y**3 - v*y + 2/5 - 2/5*y**2 = 0.
-1, 1
Find s such that 4/9 - 2/9*s - 16/9*s**2 - 10/9*s**3 = 0.
-1, 2/5
Suppose 5*s + 10 = -4*r, -s + 5*r - 1 = 1. Let k be 1 + s - 1/(-1). Factor 0*m + 2/9*m**3 + k + 2/9*m**2.
2*m**2*(m + 1)/9
Let z(u) = u + 19. Suppose 0 = j - 4*j. Let r be z(j). Solve -5 - 4*m - 5*m**2 + r*m**2 - 8*m**3 + 3 = 0 for m.
-1/4, 1
Suppose -5*f = -25, -m - 2*f - 16 = -6*f. Suppose 0 = -3*y + m + 2. Factor y*d**3 + 6*d**2 - 21 + 4*d + 21.
2*d*(d + 1)*(d + 2)
Let s(y) be the first derivative of 4*y**6/51 - 6*y**5/85 - 5*y**4/34 + 2*y**3/17 + y**2/17 - 3. Let s(i) = 0. Calculate i.
-1, -1/4, 0, 1
Suppose -19*r + 23*r - 4 = 0. Let f(k) be the first derivative of r - 5/18*k**4 + 4/27*k**3 - 4/9*k + 5/9*k**2. Factor f(o).
-2*(o - 1)*(o + 1)*(5*o - 2)/9
Let u = 8 - 8. Suppose -t + 4 = 0, 5*f + u*t = -2*t + 28. Factor -2/9*j**5 - 10/9*j**3 + 8/9*j**f + 0 + 0*j + 4/9*j**2.
-2*j**2*(j - 2)*(j - 1)**2/9
Let x(n) be the second derivative of 1/30*n**5 + 0 + 1/3*n**3 + 2*n - 1/6*n**4 - 3/2*n**2. Let z(f) be the first derivative of x(f). Factor z(v).
2*(v - 1)**2
Let g(d) be the first derivative of -1/3*d - 1/9*d**3 + 1/3*d**2 - 2. Factor g(p).
-(p - 1)**2/3
Let t(p) be the first derivative of -p**3 - 2*p**2 - 4*p/3 - 3. Solve t(w) = 0 for w.
-2/3
Let n(m) = -29*m**5 + 67*m**4 - 49*m**3 + 7*m**2 + 5*m - 5. Let s(o) = -14*o**5 + 34*o**4 - 25*o**3 + 4*o**2 + 2*o - 2. Let c(l) = 2*n(l) - 5*s(l). Factor c(z).
3*z**2*(z - 2)*(2*z - 1)**2
Let d(x) = 3*x**2 - 11*x + 8. Let b(y) = -8*y**2 + 32*y - 24. Let c(z) = -5*b(z) - 14*d(z). Suppose c(r) = 0. What is r?
-4, 1
Let 0*m - 2/7*m**3 - 6/7*m**4 + 2*m**2 + 2/7*m**5 - 8/7 = 0. What is m?
-1, 1, 2
Let u be ((-1)/18)/(1/(-8)). Find d such that -2/9*d**2 + u*d**3 + 0*d + 0 - 2/9*d**4 = 0.
0, 1
Factor 14/3*j**2 + 16/3*j**3 + 3*j**4 + 2/3*j**5 + 2*j + 1/3.
(j + 1)**4*(2*j + 1)/3
Let t = -8 + 7. Let a be (-4)/6*t/2. Find g such that -5/3*g**3 + a*g**2 + 1/3*g + g**4 + 0 = 0.
-1/3, 0, 1
Suppose 0 = -33*a + 37*a - 20. Suppose -15 = -2*y + a*r, 4*y - 5*y + 4*r = -9. Find f, given that 4/11*f**2 + 0*f**3 + 2/11*f**y + 0 - 4/11*f**4 - 2/11*f = 0.
-1, 0, 1
Let b(z) be the second derivative of z**7/63 - z**6/45 - z**5/10 + z**4/18 + 2*z**3/9 - 7*z. Find f, given that b(f) = 0.
-1, 0, 1, 2
Suppose -3*l + 0*l = -6. Solve 0 + 2/5*m + 2/5*m**l = 0.
-1, 0
Let t(w) be the first derivative of -w**3/8 + 3*w**2/8 + 9*w/8 + 5. Determine u, given that t(u) = 0.
-1, 3
Factor -3074*u**2 + 10 - 45 + 1331*u**3 - 181 + 896*u**2 + 1188*u.
(11*u - 6)**3
Let d be (-1)/((-14)/32) + 44/(-154). Find a, given that 1/3*a**d + 1/3 - 2/3*a = 0.
1
Suppose -3*a - 2*a + 7 = 4*v, 0 = -v + 2*a + 5. Let t(o) = o**2 + 3*o. Let q be t(-4). Find r, given that r**4 + r**2 + r**q + 0*r**2 - v*r**2 = 0.
-1, 0, 1
Find f such that 6*f + 2*f**5 - 2*f**4 + 5*f**2 - 2*f - 4*f**2 + f**2 - 6*f**3 = 0.
-1, 0, 1, 2
Let x(b) be the second derivative of 5*b**7/42 - b**6/3 - 3*b**5/2 + 25*b**4/3 - 95*b**3/6 + 15*b**2 + 58*b. Factor x(k).
5*(k - 2)*(k - 1)**3*(k + 3)
Suppose 0*l - 6 = -2*l. Determine f, given that 26*f**l - 19*f**2 + 4*f**5 + 3 - 3 - 1 - f**3 - 16*f**4 + 7*f = 0.
1/2, 1
Let p(n) = 2*n - 2. Let j be p(3). Determine i, given that 8*i**3 - j*i**5 + 8*i - 6*i - 6*i = 0.
-1, 0, 1
Let y = -181/28 - -27/4. Determine l so that 0*l**3 + 0*l + 2/7*l**2 - y*l**4 + 0 = 0.
-1, 0, 1
Let p(y) = 8*y**5 + 8*y**2 + 6*y. Let i(f) = 0*f - 4*f - f**3 - 7*f**2 - f - f**4 - 7*f**5. Let j(d) = -6*i(d) - 5*p(d). Factor j(v).
2*v**2*(v + 1)**3
Let s be 207/(-46)*(-2)/3. Let j(n) be the first derivative of s + 0*n + 2/21*n**3 + 0*n**2 - 2/35*n**5 + 0*n**4. Determine b so that j(b) = 0.
-1, 0, 1
Let a be ((-3)/(-2))/((-60)/(-16)). Factor 4/5 + 2/5*j**4 + a*j - 6/5*j**2 - 2/5*j**3.
2*(j - 2)*(j - 1)*(j + 1)**2/5
Suppose 28*d - 72 + 16 = 0. Find c such that -d*c - 2*c**2 + 4/3*c**3 + 4/3 = 0.
-1, 1/2, 2
Let a(n) be the first derivative of n**6/16 + 3*n**5/10 + 15*n**4/32 + n**3/4 + 25. Suppose a(k) = 0. Calculate k.
-2, -1, 0
Let l(a) = a**3 + 11*a**2 + 18*a + 4. Let v be l(-9). Factor 0*o**2 - 1/2*o**v + 1/2 + o - o**3.
-(o - 1)*(o + 1)**3/2
Let n be (-33)/12*(4 - 0). Let f = -9 - n. Determine z so that -2/3*z - 1/3*z**f - 1/3 = 0.
-1
Let c(v) be the first derivative of -v**3 + 3*v**2 + 10. Suppose c(t) = 0. Calculate t.
0, 2
Let a(i) = i + 2. Let v be a(0). Factor -c**2 + 2*c**3 + 4*c - 6*c - c**2 + 0*c**3 + v.
2*(c - 1)**2*(c + 1)
Let t(u) be the second derivative of -u**9/37800 + u**8/8400 - u**7/6300 + u**4/4 + 3*u. Let i(n) be the third derivative of t(n). Solve i(l) = 0 for l.
0, 1
Let d(x) be the second derivative of 3*x**7/14 - x**6 + 9*x**5/5 - 3*x**4/2 + x**3/2 + 6*x. Factor d(i).
3*i*(i - 1)**3*(3*i - 1)
Let u(p) = 8*p**3 + 4*p**2 - 52*p + 24. Let s(x) = 40*x**3 + 20*x**2 - 260*x + 120. Let r(v) = -5*s(v) + 24*u(v). Solve r(h) = 0 for h.
-3, 1/2, 2
Factor -3*n**3 - 2*n**4 - 3*n**5 + 2*n**4 + 6*n**3.
-3*n**3*(n - 1)*(n + 1)
Let s = 3/139 - -402/695. Factor 0*t**3 + s + 0*t - 6/5*t**2 + 3/5*t**4.
3*(t - 1)**2*(t + 1)**2/5
Let g(j) be the third derivative of j**8/1512 - j**7/189 + j**6/60 - 7*j**5/270 + j**4/54 - 24*j**2. Let g(r) = 0. Calculate r.
0, 1, 2
Suppose 5*d + 5*s = 120, s - 6*s = -2*d + 20. Factor 24 + 27*w - 73*w - 6*w - d*w**2.
-4*(w + 3)*(5*w - 2)
Suppose -5*u = -3*u - 4. Factor 0*q + 1/3*q**u - 1/3*q**4 + 0 + 0*q**3.
-q**2*(q - 1)*(q + 1)/3
Factor -3*b**2 + 3*b**2 - 2 + 4*b**3 + 2*b**5 + 6*b**4 - 3*b**2 - 6*b - b**2.
2*(b - 1)*(b + 1)**4
Suppose x + 3 = 3*g + 3*x, -4*x = 5*g - 3. Let -t**4 + t - 5*t**g + 6*t**2 - 2 + 3*t**3 - 3*t**4 