**5/140 + v**4/7 - 9*v**3/14 - 6*v**2. What is y in o(y) = 0?
-9, 1
Let n = 1063 - 1061. Solve -2/3*z**n - 8/3*z - 2 = 0 for z.
-3, -1
Let n(r) be the second derivative of 0 + 0*r**2 - 1/15*r**7 + 2/15*r**3 - 3*r - 3/10*r**5 + 19/75*r**6 + 1/30*r**4. Suppose n(a) = 0. Calculate a.
-2/7, 0, 1
Let z(j) = 6*j**2 + j - 2. Let c(o) = -14*o**2 - 4*o + 7. Let f(k) = 15*k**2 + 4*k - 7. Let u(t) = -4*c(t) - 5*f(t). Let x(b) = 4*u(b) + 14*z(b). Factor x(i).
2*i*(4*i - 1)
Let d(l) = l**2 + l + 1. Let r = 0 - 3. Let q = r - 9. Let i(b) = -2*b**2 + 36*b + 20. Let z(c) = q*d(c) + i(c). Determine a so that z(a) = 0.
-2/7, 2
Suppose 10 = 5*h - 0*h. Find u, given that 0*u + h*u + u + u + 4*u**2 = 0.
-1, 0
Factor 24*i + 58 + 11*i**2 - 10 - 8*i**2.
3*(i + 4)**2
Let w(p) = p**3 + 5*p**2 + 5*p. Let x be w(-2). Let i(j) be the first derivative of -4 + 0*j**4 + 3/5*j**5 + 3*j - 2*j**3 + 0*j**x. Factor i(v).
3*(v - 1)**2*(v + 1)**2
Let q(g) be the second derivative of -g**7/315 + g**6/25 - g**5/5 + 23*g**4/45 - 11*g**3/15 + 3*g**2/5 + 11*g. Suppose q(n) = 0. What is n?
1, 3
Let i(s) = -31*s**3 - 9*s**2 + 80*s + 69. Let x(y) = 6*y**3 + 2*y**2 - 16*y - 14. Let h(l) = 2*i(l) + 11*x(l). Factor h(o).
4*(o - 2)*(o + 1)*(o + 2)
Let i(j) = -j**4 + j**3 - j**2 - j - 1. Let s be (-2)/(-2)*0 - 1. Let f(t) = -2*t**4 + 6*t**3 - 9*t**2 + 3*t - 1. Let r(h) = s*f(h) + i(h). Factor r(g).
g*(g - 2)**2*(g - 1)
Let h(x) be the first derivative of -x**5/30 - x**4/6 + 3*x**2/2 - 2. Let l(c) be the second derivative of h(c). Factor l(i).
-2*i*(i + 2)
Suppose 0*z - 2/15*z**2 + 2/3*z**3 - 8/15*z**4 + 0 = 0. What is z?
0, 1/4, 1
Suppose n = -6*t + 2*t + 10, 4 = 3*t - n. Suppose 1/4*k**4 - t*k**3 + 6*k**2 + 4 - 8*k = 0. What is k?
2
Let m(u) be the second derivative of -1/6*u**4 + 0 + 4/3*u**3 + 4*u - 4*u**2. Factor m(f).
-2*(f - 2)**2
Let y = 16/25 - 12/175. Let v(b) be the first derivative of 1 + y*b**2 + 8/7*b + 2/21*b**3. Solve v(f) = 0 for f.
-2
Let a(h) = 15*h**4 + 6*h**3 + 36*h**2 - 30*h - 39. Let z(f) = -f**4 + f**3 - f**2 + f + 1. Let k(q) = a(q) + 12*z(q). Solve k(p) = 0 for p.
-3, -1, 1
Let c(p) be the first derivative of -p**4/12 - p**3/3 + 3*p**2/2 - 6*p + 4. Let m(w) be the first derivative of c(w). Factor m(f).
-(f - 1)*(f + 3)
Let w(x) = 0*x - 2*x**2 + x**2 - 4*x + 3. Let m be w(-4). Factor u - 3*u**2 - 5*u**4 - u**5 + 5*u**2 + m*u**4.
-u*(u - 1)*(u + 1)**3
Let b(q) be the second derivative of q**4/6 + 4*q**3/3 + 3*q**2 + q. Factor b(c).
2*(c + 1)*(c + 3)
Let d(x) be the second derivative of x**6/40 - x**5/10 - x**2 + 3*x. Let n(l) be the first derivative of d(l). Factor n(o).
3*o**2*(o - 2)
Let i(y) be the second derivative of -1/15*y**6 + 0*y**2 + 0 - y - 1/10*y**5 + 0*y**4 + 0*y**3. Solve i(h) = 0.
-1, 0
Let x(u) be the second derivative of -u**5/80 - 3*u**4/16 - 9*u**3/8 - 27*u**2/8 - 5*u. Factor x(h).
-(h + 3)**3/4
Suppose 14*w**3 + 18*w**2 - 48*w**4 + 10*w**3 + 58*w**4 + 4*w = 0. Calculate w.
-1, -2/5, 0
Solve -1/4 + 3/8*r**3 - 3/8*r + 1/4*r**2 = 0 for r.
-1, -2/3, 1
Let b(v) be the second derivative of v**7/42 + v**6/30 - v**5/4 - v**4/12 + 4*v**3/3 - 2*v**2 - 20*v. Suppose b(t) = 0. Calculate t.
-2, 1
Let l(f) be the third derivative of f**5/180 + f**4/24 + 41*f**2. Factor l(i).
i*(i + 3)/3
Let r be (-6 + 3)/(-1) + -3. Let h = 1 + 3. Suppose -v**4 - v**h + r*v**4 + 2*v**2 = 0. What is v?
-1, 0, 1
Let f(n) be the third derivative of n**8/462 + 13*n**7/1155 + n**6/44 + 7*n**5/330 + n**4/132 + 4*n**2 + 7*n. Factor f(k).
2*k*(k + 1)**3*(4*k + 1)/11
Let o(q) be the second derivative of -2/3*q**3 - 1/6*q**4 - q**2 + q + 0. Factor o(b).
-2*(b + 1)**2
Factor 6 - 10*h + 2 + 2*h**2 + 4.
2*(h - 3)*(h - 2)
Let v(a) be the third derivative of -7*a**2 - 1/20*a**4 + 0*a**3 + 0*a + 1/20*a**5 + 7/200*a**6 + 0. Factor v(w).
3*w*(w + 1)*(7*w - 2)/5
Let h(g) be the first derivative of -2 + 8/3*g**3 + 3/2*g**4 + g**2 + 0*g - 4/3*g**6 - 8/5*g**5. Determine c, given that h(c) = 0.
-1, -1/2, 0, 1
Let d(q) be the third derivative of 1/9*q**4 + 1/315*q**7 + 1/15*q**5 + 1/45*q**6 + q**2 + 1/9*q**3 + 0 + 0*q. Factor d(x).
2*(x + 1)**4/3
Let y(j) be the first derivative of j**7/210 - 17*j**6/1080 + j**5/120 + j**4/36 - j**3/3 - 3. Let z(i) be the third derivative of y(i). Factor z(k).
(k - 1)*(3*k - 2)*(4*k + 1)/3
Let d(a) be the second derivative of -a**6/6 + 3*a**5/4 - 5*a**4/4 + 5*a**3/6 + 22*a. Determine m, given that d(m) = 0.
0, 1
Let f(w) be the third derivative of -4*w**2 + 1/180*w**5 - 1/18*w**3 + 0*w**4 + 0 + 0*w. Factor f(v).
(v - 1)*(v + 1)/3
Let c be 12 + 2 + -7 + 8/(-2). What is z in 1/2*z**4 + 3/2*z**2 + 1/2*z + 0 + 3/2*z**c = 0?
-1, 0
Factor -856 - 112*d + d**2 - 3*d**2 - 2*d**2 + 72.
-4*(d + 14)**2
Let s(m) be the second derivative of 2*m**6/15 - m**5/10 - m**4/6 + 8*m. Factor s(p).
2*p**2*(p - 1)*(2*p + 1)
Let n(q) = -8*q**3 + 13*q**2 + 37*q - 37. Let y(c) = 4*c**3 - 7*c**2 - 19*c + 19. Let o(f) = -3*n(f) - 5*y(f). Solve o(t) = 0.
-2, 1, 2
Let h be (8/3)/(4/6). Determine d, given that h*d**2 - 3*d**5 - 5*d**3 - d**2 - 3*d**4 + 0*d**3 + 8*d**3 = 0.
-1, 0, 1
Let h(z) be the first derivative of -4*z**3/3 + 20*z**2 - 100*z - 1. Factor h(b).
-4*(b - 5)**2
Suppose -540 = p - 5*p. Solve -8*g**4 + 115*g + 67*g**4 - 78*g**2 - 24 - p*g**3 - 7*g + 16*g**4 = 0.
-1, 2/5, 2
What is i in -2/13*i**2 + 4/13*i + 0 = 0?
0, 2
Let n = -4 - -8. Suppose 0*f - n*f = -12. Factor 7*d - 3*d - 5 + f + 0*d**4 - 4*d**3 + 2*d**4.
2*(d - 1)**3*(d + 1)
Let s = 704 - 701. Factor 2/5*a**2 + 1/5*a + 0 - 2/5*a**4 + 0*a**s - 1/5*a**5.
-a*(a - 1)*(a + 1)**3/5
Find q, given that 2*q**2 + 0*q**3 - 1/3*q**4 + 1 + 8/3*q = 0.
-1, 3
What is v in -9*v**2 + 6*v + 3*v**4 + 188 - 188 = 0?
-2, 0, 1
Solve 25/4*b**3 + 0 + 15/2*b**2 + 9/4*b = 0 for b.
-3/5, 0
Let s(y) be the second derivative of 3/40*y**5 + 1/4*y**2 - 5/24*y**4 + 1/15*y**6 - 1/4*y**3 + 0 + 4*y. Suppose s(a) = 0. What is a?
-1, 1/4, 1
Let t(m) = m**3 + 4*m**2 + 8*m + 15. Let f be t(-3). Let i = 19/2 + -37/4. Factor f*o**2 - i*o + 0 + 1/4*o**3.
o*(o - 1)*(o + 1)/4
Let k(x) be the second derivative of -2*x**6/105 + 2*x**5/35 - 4*x**3/21 + 2*x**2/7 - 13*x. Factor k(n).
-4*(n - 1)**3*(n + 1)/7
Factor 0 - v**3 + 1/2*v**2 + 1/2*v**4 + 0*v.
v**2*(v - 1)**2/2
Let i(x) = x**2 + 2*x. Let m(k) = -3*k**2 - 5*k. Suppose 3*b = 4*f - 20, -2*f + 4 = -3*f + 3*b. Let l(q) = f*i(q) + 3*m(q). Determine d, given that l(d) = 0.
0, 1
Suppose 5*q - 4*v - 651 = 0, 4*v = -0*q + q - 143. Determine m, given that q*m**3 + 6*m**5 - 4*m**5 - 129*m**3 = 0.
-1, 0, 1
Suppose s - 5*w + 6 = 21, -9 = -4*s + 3*w. Factor -3/2*l**2 + 27/4*l**3 + s + 0*l.
3*l**2*(9*l - 2)/4
Let d(v) be the first derivative of v**6/15 + 8*v**5/25 + 3*v**4/5 + 8*v**3/15 + v**2/5 - 3. Factor d(j).
2*j*(j + 1)**4/5
Let g(d) = -6*d**2 + 3*d - 6. Let t(f) = -f**2 + f - 1. Let c(j) = g(j) - 5*t(j). Factor c(s).
-(s + 1)**2
Let o(j) be the second derivative of 0 - 3/4*j**2 - 1/16*j**4 + 3*j - 3/8*j**3. Factor o(g).
-3*(g + 1)*(g + 2)/4
Let s be 3/(-2) + (-57)/(-38). Factor 1/4*m**2 - 1/4 + s*m.
(m - 1)*(m + 1)/4
Let s(y) = -y**2 - 7*y - 4. Let w be s(-5). Let x = w + -6. What is g in 1/3*g**4 + 0*g + x + 0*g**2 + 1/3*g**3 = 0?
-1, 0
Let p be 0*3/(-12) - -2. Find b, given that -2*b**3 + 3*b + 10*b**2 - p*b - 18 - 7*b = 0.
-1, 3
Let u(p) be the second derivative of p**8/26880 + p**7/5040 + p**6/2880 - p**4/6 + 4*p. Let v(d) be the third derivative of u(d). Factor v(r).
r*(r + 1)**2/4
Let k(t) be the third derivative of -t**5/330 + t**4/66 - t**3/33 - 11*t**2. Solve k(u) = 0.
1
Let s(x) = 5*x**3 - 10*x**2 - 15*x. Let k(r) = 55*r**3 - 110*r**2 - 165*r. Let q(c) = 4*k(c) - 45*s(c). Factor q(v).
-5*v*(v - 3)*(v + 1)
Let i = -7 + 9. Let u be i/(-8)*-13 - 3. Factor 1/4 - 1/4*s**2 + u*s**3 - 1/4*s.
(s - 1)**2*(s + 1)/4
Let g(b) be the first derivative of 2*b**5/7 + b**4/2 - 2*b**3/7 - b**2 - 4*b/7 + 7. Determine p, given that g(p) = 0.
-1, -2/5, 1
Suppose 10 = -7*r + 2*r, -3*r + 2 = 4*u. Let y(c) be the first derivative of -u*c**2 + 0*c + 1 + c**4 - 2*c**5 + 10/3*c**3. Factor y(a).
-2*a*(a - 1)*(a + 1)*(5*a - 2)
Let f(n) be the second derivative of -3*n**6/4 - 51*n**5/80 + 23*n**4/16 + 5*n**3/2 + 3*n**2/2 + 7*n. Suppose f(t) = 0. Calculate t.
-2/3, -1/2, -2/5, 1
Let d(r) be the first derivative of r**7/1680 + r**6/360 - r**5/240 - r**4