 7*p. What is y in c(y) = 0?
-1, 0, 1
Let f(w) be the first derivative of w**4/2 + 4*w**3/21 - w**2 - 4*w/7 + 9. Find p, given that f(p) = 0.
-1, -2/7, 1
Let f(s) be the third derivative of -s**7/315 + s**6/120 + s**5/60 - s**4/36 + 2*s**2 - 32*s. Let f(o) = 0. Calculate o.
-1, 0, 1/2, 2
Let q(r) be the first derivative of r**4/6 + r**3/3 + 2*r - 1. Let w(h) be the first derivative of q(h). Let w(p) = 0. Calculate p.
-1, 0
Let s be ((-15)/(-6) + -2)*-2 + 1. Let i(o) be the second derivative of -1/35*o**5 - 2*o + 1/14*o**4 + 0 - 1/21*o**3 + s*o**2. Determine g, given that i(g) = 0.
0, 1/2, 1
Let n = 52 - 46. Let z(g) be the third derivative of 0*g - 2*g**2 + 0*g**n + 1/3*g**3 + 0 - 1/15*g**5 + 1/105*g**7 + 0*g**4. Factor z(v).
2*(v - 1)**2*(v + 1)**2
Let v be ((-7)/(-21))/((-1)/(-9)). Factor 6*y**v + 3*y + 3*y**2 - 6*y - 3*y**5 - 3*y**2.
-3*y*(y - 1)**2*(y + 1)**2
Suppose 10 = -6*b + 11*b. Let n(w) be the first derivative of -11/2*w**b - 14/5*w**5 + 2 - 8*w**3 - 13/2*w**4 - 1/2*w**6 - 2*w. Solve n(c) = 0 for c.
-1, -2/3
Let m = 10/7 + 15/14. Factor 1 + 2*x**2 + 1/2*x**3 + m*x.
(x + 1)**2*(x + 2)/2
Let t(l) be the first derivative of -5*l**4/42 - l**3/21 + 2*l + 3. Let h(f) be the first derivative of t(f). What is k in h(k) = 0?
-1/5, 0
Suppose 0 = 2*t - 4. Factor q**4 + 4*q**5 + 5*q**4 - 6*q**t + q**3 - 4*q**3 - q**5.
3*q**2*(q - 1)*(q + 1)*(q + 2)
Let c be (-2)/(-40)*1/3. Let j(g) be the second derivative of g - 1/168*g**7 + 0*g**4 + 0 - 1/80*g**5 + 0*g**3 + 0*g**2 - c*g**6. Factor j(a).
-a**3*(a + 1)**2/4
Factor 5/3*r + 1/3*r**3 - 4/3*r**2 - 2/3.
(r - 2)*(r - 1)**2/3
Let g(y) be the first derivative of 1/21*y**4 + 3*y + 1/21*y**3 + 1/70*y**5 + 0*y**2 + 3. Let r(b) be the first derivative of g(b). Suppose r(k) = 0. What is k?
-1, 0
Let z(j) be the second derivative of -j**4/4 + 3*j**3/2 - 3*j**2 + 24*j. Suppose z(t) = 0. What is t?
1, 2
Suppose 0*r = r - 3. Determine c so that -3*c + 8*c**r + 2*c**4 + 0*c**4 + 12*c**2 + 2 + 10*c + c = 0.
-1
Let w(r) be the first derivative of -1/5*r**5 - 1 - 4*r + 6*r**2 - 13/3*r**3 + 3/2*r**4. Factor w(n).
-(n - 2)**2*(n - 1)**2
Let m = -87 - -87. Let c(d) be the third derivative of 0*d**3 - 1/70*d**7 + 0 + 0*d**4 + d**2 + 0*d**6 + m*d + 1/20*d**5. Factor c(a).
-3*a**2*(a - 1)*(a + 1)
What is b in -5/6*b**2 - 1/6*b**3 - 2/3 - 4/3*b = 0?
-2, -1
Let v be 133/154 - 2/4. Suppose 2*a**2 - 20/11*a**3 + 2/11*a - v = 0. What is a?
-2/5, 1/2, 1
Let c(a) be the third derivative of -a**5/30 + a**4/6 + 2*a**2. Factor c(o).
-2*o*(o - 2)
Let r be (-26)/(-10) + 0 + (-26)/(-65). Let h(l) be the first derivative of 2*l - 1/4*l**4 + 2 + 1/2*l**2 - 2/3*l**r. What is v in h(v) = 0?
-2, -1, 1
Let z(p) be the third derivative of p**8/4200 - p**7/2100 + p**3/6 - 2*p**2. Let l(t) be the first derivative of z(t). Solve l(u) = 0 for u.
0, 1
Let j(i) = -135*i**4 - 69*i**3 + 16*i**2. Let y(q) = 135*q**4 + 68*q**3 - 17*q**2. Let b(u) = -7*j(u) - 6*y(u). Suppose b(r) = 0. Calculate r.
-2/3, 0, 1/9
Let n(g) be the third derivative of -g**9/4536 + g**7/630 - g**5/180 + g**3 + 4*g**2. Let b(x) be the first derivative of n(x). Factor b(m).
-2*m*(m - 1)**2*(m + 1)**2/3
Let a(s) be the third derivative of -s**10/15120 - s**9/15120 - s**5/60 - 3*s**2. Let v(x) be the third derivative of a(x). Factor v(d).
-2*d**3*(5*d + 2)
Factor 1/2*p**2 + 0*p + 0 - 1/2*p**4 - 1/2*p**3 + 1/2*p**5.
p**2*(p - 1)**2*(p + 1)/2
Let x(n) be the third derivative of -n**7/210 + n**6/40 - n**5/20 + n**4/24 - n**2. Find r such that x(r) = 0.
0, 1
Let u(f) be the third derivative of -f**5/45 - 19*f**4/72 + 5*f**3/18 - 28*f**2. What is c in u(c) = 0?
-5, 1/4
Suppose 3*o + f = 2, 3*f + 0*f = -4*o - 4. Let 0 - o*n**4 + 4/7*n - 6/7*n**2 - 24/7*n**3 = 0. Calculate n.
-1, 0, 2/7
Let x = -281 - -286. Solve -2/3*v**x - 2/3*v + 4/3*v**3 + 2/3*v**4 + 2/3 - 4/3*v**2 = 0.
-1, 1
Let v = 44 - 38. Let y be 0 + (-4)/(-2*v). Suppose -1/3 - r**3 + 5/3*r**2 - y*r = 0. What is r?
-1/3, 1
Solve 2/9*k**3 + 2/3*k**2 + 0*k - 8/9 = 0 for k.
-2, 1
Let r(o) be the third derivative of o**9/37800 + o**8/8400 + o**7/6300 + o**4/6 - 3*o**2. Let z(m) be the second derivative of r(m). Find t such that z(t) = 0.
-1, 0
Let v(u) be the second derivative of -u**4/28 + 5*u. Factor v(j).
-3*j**2/7
Let d(q) be the first derivative of -q**6/120 - 3*q**2/2 - 3. Let a(t) be the second derivative of d(t). Suppose a(g) = 0. Calculate g.
0
Let m(n) be the third derivative of -11*n**6/360 + 2*n**5/15 - n**4/18 - 17*n**2. Solve m(a) = 0 for a.
0, 2/11, 2
What is c in -56*c**3 + 123*c + 12 + 160*c**2 - 36*c**3 - 31*c + 28*c**3 = 0?
-1/4, 3
Let u(t) = -24*t**2 + 9*t - 7. Suppose -m = 4*m. Suppose m = 7*l - 2*l + 25. Let k(x) = -24*x**2 + 10*x - 6. Let o(b) = l*k(b) + 4*u(b). Solve o(v) = 0.
1/4, 1/3
Let 1/10*l**4 + 0*l**2 - 8/5*l - 8/5 + 2/5*l**3 = 0. What is l?
-2, 2
Let f(y) = -y**2 - 34*y - 168. Let d be f(-6). Factor -1/6*i**2 + 0*i + d.
-i**2/6
Suppose 0 = -4*v + 4. Let w be (-6)/(-9)*3/v. Factor 4/7 + 2/7*g**w - 6/7*g.
2*(g - 2)*(g - 1)/7
Let u(z) be the second derivative of z**5/5 - z**4/3 - 4*z**3/3 + 13*z. Factor u(d).
4*d*(d - 2)*(d + 1)
Let u(b) be the third derivative of -b**9/30240 - b**8/6720 + b**7/5040 + b**6/720 - b**4/6 - 4*b**2. Let f(k) be the second derivative of u(k). Factor f(p).
-p*(p - 1)*(p + 1)*(p + 2)/2
Let u(b) be the third derivative of b**7/105 + b**6/30 - b**4/6 - b**3/3 + b**2 + 7*b. Factor u(g).
2*(g - 1)*(g + 1)**3
Solve 36/5*v**2 - 54/5 + 0*v + 2/5*v**4 + 16/5*v**3 = 0 for v.
-3, 1
Let v(x) be the first derivative of 4*x**6/9 + 2*x**5 + 8*x**4/3 + 2*x**3/3 - 2*x**2/3 + 19. Solve v(u) = 0.
-2, -1, 0, 1/4
Suppose -10*x - 3 = -11*x. Let r(c) be the third derivative of 0*c**5 + 1/60*c**6 + 2*c**2 + 0*c**4 + 0*c**x + 0*c + 0. Suppose r(i) = 0. What is i?
0
Let w(m) be the third derivative of 0*m + 0 - 1/90*m**5 - 1/90*m**6 - m**2 + 0*m**4 + 1/105*m**7 + 0*m**3. Solve w(x) = 0.
-1/3, 0, 1
Determine t so that 2/7*t**2 + 0 + 2/7*t = 0.
-1, 0
Suppose -3*o + n = -8, 2*o - o - 3*n = 0. Factor j**2 - 2*j**2 - o*j + 2*j + 2*j**2.
j*(j - 1)
Let u(y) = 13*y**4 + 21*y**3 + 3*y**2 - 5*y + 9. Let a(h) = -3*h**4 - 5*h**3 - h**2 + h - 2. Let q(r) = 18*a(r) + 4*u(r). What is g in q(g) = 0?
-1, 0
Let t(x) = 6*x**4 - 16*x**3 + 21*x**2 + 11*x + 11. Let w(b) = -b**4 + 3*b**3 - 4*b**2 - 2*b - 2. Let i(r) = 2*t(r) + 11*w(r). Factor i(y).
y**2*(y - 1)*(y + 2)
Let t = -2/13 - -17/26. Solve -1/2*h**2 + 1 - t*h = 0 for h.
-2, 1
Let v = 32 - 24. Let s be (-9)/(-12) + (-6)/v. Suppose -4/9*d**3 + 0*d**2 + s*d - 14/9*d**4 + 0 = 0. What is d?
-2/7, 0
Let k be (-2)/(-2) + 5 + -2. What is f in -3*f - k*f**2 - 3 + 7*f**2 + 3 + 1 - f**3 = 0?
1
Let z = 4 - 1. Solve -2*k**2 + k**4 + 4*k**z + 0*k**4 - 5*k**4 + 2*k**4 = 0.
0, 1
Let s(m) be the third derivative of -m**8/112 - m**7/40 - m**6/80 + m**5/80 + 8*m**2. Solve s(b) = 0 for b.
-1, 0, 1/4
Suppose -1 = t + b, b - 24 = -4*t + 4*b. Factor w**t - 3*w**3 + 31*w**2 - 34*w**2 + 6*w**4 + 5*w**3.
3*w**2*(w + 1)*(2*w - 1)
Let x(m) be the third derivative of m**5/150 + m**4/30 + m**3/15 + 9*m**2. Factor x(l).
2*(l + 1)**2/5
Let h(x) be the third derivative of 0*x**4 + 0*x**3 + 0*x + 3*x**2 + 0 - 1/240*x**5. Factor h(i).
-i**2/4
Let o(f) be the third derivative of 2*f**2 + 0 + 1/24*f**3 + 1/48*f**4 + 1/240*f**5 + 0*f. Let o(v) = 0. Calculate v.
-1
Let f(d) = d**3 + 3*d**2 - 2*d. Let x be f(1). Factor 0 + 1/5*s**x + 1/5*s.
s*(s + 1)/5
Let l(z) be the second derivative of -z**6/40 - z**5/10 + z**2/2 + z. Let h(i) be the first derivative of l(i). Factor h(c).
-3*c**2*(c + 2)
Let s(f) = 4*f**3 + 12*f**2 + 3*f + 3. Let r(y) = -12*y**3 - 36*y**2 - 8*y - 8. Let u(m) = -3*r(m) - 8*s(m). Factor u(d).
4*d**2*(d + 3)
Let f = 0 - -3. Factor 5*w**f - 10*w**3 - 5*w**3 + 6*w**2 + 4*w.
-2*w*(w - 1)*(5*w + 2)
Suppose 2*n + 6 = 3*n - 2*u, -5*n + 63 = u. Determine z, given that 2*z + 8*z**4 - n*z**4 + 12*z**3 - 8*z**2 - 2*z = 0.
0, 1, 2
Let j(p) = p**3 - 5*p**2 + 8*p - 4. Let t be j(3). Determine y so that -2/7*y**t - 4/7*y + 0 = 0.
-2, 0
Let j be 6 - ((-32)/(-4) + -6). Determine p so that -3/4*p**j + 0 - 9/4*p**2 - 3/4*p - 9/4*p**3 = 0.
-1, 0
Let n(b) be the first derivative of 0*b + 2/3*b**3 - 1/360*b**6 - 1/120*b**5 + 0*b**4 + 1 + 0*b**2. Let g(u) be the third derivative of n(u). Factor g(x).
-x