t derivative of -v**4/14 - 2*v**3/7 + 8*v/7 + 1. Solve t(d) = 0.
-2, 1
Let r = 3 + 2. Let i(a) be the second derivative of a + a**3 - a**2 + 1/10*a**r + 0 - 1/2*a**4. Factor i(t).
2*(t - 1)**3
Let m(f) be the third derivative of -f**10/60480 - f**9/15120 + f**7/2520 + f**6/1440 - f**4/8 + 2*f**2. Let o(v) be the second derivative of m(v). Factor o(x).
-x*(x - 1)*(x + 1)**3/2
Suppose 5*n = -2*r - 1, -2*n - 4 = 4*r - 10. Let f be (-3 + r)*(-4)/8. Factor f*h**4 - 1/2*h**2 - 1/2*h + 0 + 1/2*h**3.
h*(h - 1)*(h + 1)**2/2
Factor 0 + 1/6*o - 1/6*o**2.
-o*(o - 1)/6
Factor -39/7*s**2 + 36/7*s + 18/7*s**3 - 3/7*s**4 - 12/7.
-3*(s - 2)**2*(s - 1)**2/7
Let w(b) = b**2 - 37*b + 38. Let r be w(36). Determine h, given that -8*h**r + 2/3*h**3 - 128/3 + 32*h = 0.
4
Let q(g) = -2*g - g**2 + 3 + 2*g**3 - 3*g**2 + 0*g - 3*g**3. Let r be q(-3). Solve 1/2*j**2 + 5/4*j**3 + 0 + r*j = 0.
-2/5, 0
Factor 3*n**2 + 0 + 6*n**4 + 0*n - 3/2*n**5 - 15/2*n**3.
-3*n**2*(n - 2)*(n - 1)**2/2
Suppose 0*q - 8 = 4*q. Let j(x) = -x**2 - x + 2. Let d be j(q). What is a in 3*a**2 + d - 2*a - 2*a**2 + 1 = 0?
1
Determine m so that -3/2*m + 0 + 3*m**2 - 3/2*m**3 = 0.
0, 1
Let k(r) = r**3 - r - 6. Let d be k(0). Let f = -4 - d. Factor 1/3*l + 0*l**f - 1/3*l**3 + 0.
-l*(l - 1)*(l + 1)/3
Let l = 3/13 - -17/39. Let i(g) = -g**2 + 7*g - 7. Let b be i(4). Determine p so that 0*p**3 + 1/3*p**b - 2/3*p**2 - 1/3*p + 0 + l*p**4 = 0.
-1, 0, 1
Let l(b) be the second derivative of -3*b**4/4 - 5*b**3/2 + 3*b**2 + b. Factor l(z).
-3*(z + 2)*(3*z - 1)
Let c(f) = f - 4. Let o be c(3). Let i(d) = d**2 + d + 1. Let y(x) = -4*x**3 - 3*x**2 - 4*x - 4. Let t(j) = o*y(j) - 4*i(j). Factor t(r).
r**2*(4*r - 1)
Let g(x) be the first derivative of -x**7/840 + x**6/90 - x**5/24 + x**4/12 - x**3/3 - 2. Let o(y) be the third derivative of g(y). Factor o(t).
-(t - 2)*(t - 1)**2
Suppose 5*r - 2*m - 6 = 3*r, -2*m = -5*r + 12. Solve -2/7*s**4 + 2/7*s + 4/7*s**r - 2/7 + 2/7*s**5 - 4/7*s**3 = 0 for s.
-1, 1
Let p = 0 + 4. Suppose -p*h - 14 = -j, -4*j + 2*h = -2*j - 28. Determine c so that -j*c - 2*c**3 + 14*c = 0.
0
Let a(p) = 2*p**4 + 10*p**3 + 13*p**2 + 9*p + 9. Let c(s) = s**4 + 5*s**3 + 7*s**2 + 5*s + 4. Let t(o) = 2*a(o) - 5*c(o). Factor t(h).
-(h + 1)**3*(h + 2)
Let d(s) be the third derivative of -1/1680*s**8 + 1/75*s**5 - 1/75*s**6 + 0*s - s**2 + 0*s**3 + 0*s**4 + 0 + 1/210*s**7. Factor d(a).
-a**2*(a - 2)**2*(a - 1)/5
Let g(x) = x**2. Let j(z) = -5*z**3 + 24*z**2 + 55*z + 30. Let q(r) = -4*g(r) + j(r). Determine k, given that q(k) = 0.
-1, 6
Factor -27 - 5 + 16*k**3 - 112*k - 24*k**3 + 62*k**2.
-2*(k - 4)**2*(4*k + 1)
Factor 1/2*n**3 + 4*n + 8 - 7/2*n**2.
(n - 4)**2*(n + 1)/2
Let y(z) be the second derivative of -z**5 - 95*z**4/4 - 175*z**3 - 245*z**2/2 - 41*z. What is p in y(p) = 0?
-7, -1/4
Let g(a) be the second derivative of a**6/150 - a**4/10 - 4*a**3/15 - 3*a**2/10 + 13*a. Suppose g(u) = 0. What is u?
-1, 3
Let r be (2178/75)/((-6)/(-20)). Let m = r + -96. Factor 2/5*h**2 - m*h - 2/5 + 4/5*h**3.
2*(h - 1)*(h + 1)*(2*h + 1)/5
Let s(j) be the third derivative of -j**6/96 + j**5/30 - j**4/96 - j**3/12 - 6*j**2. Suppose s(z) = 0. What is z?
-2/5, 1
Let b(l) = -2*l**3 + 4*l**2 - 2*l - 11. Let k = -9 - 4. Let z = 7 + k. Let w(y) = -y**3 + 2*y**2 - y - 6. Let j(i) = z*b(i) + 11*w(i). Factor j(p).
p*(p - 1)**2
Factor -80 + 0*i**4 - 10*i**4 - 28*i**2 - 137*i**2 + 5*i**4 - 200*i - 50*i**3.
-5*(i + 1)**2*(i + 4)**2
Let z = 76 - 74. Let g be (2/(-5))/(8/(-10)). Let g - v + 1/2*v**z = 0. Calculate v.
1
Let t(d) be the second derivative of -1/2*d**2 - 2*d + 1/2*d**3 + 0 - 1/6*d**4. Factor t(f).
-(f - 1)*(2*f - 1)
Let g = 8 + -5. Find p, given that p - 6*p**2 - 2*p**4 + 2*p**4 + 9*p**g - 4*p**4 = 0.
0, 1/4, 1
Let j(s) = s + 1. Let p be j(-8). Let k = -5 - p. Suppose 6/5*r + 4/5 + 2/5*r**k = 0. What is r?
-2, -1
Let r(h) = -h**2 + 8*h - 11. Let k be r(6). Suppose 3*n = 7 - k. Solve 0*f - 2/5*f**3 + 0 + 2/5*f**n = 0 for f.
0, 1
Let b(m) be the first derivative of -m**6/12 + m**5/10 + m**4/8 - m**3/6 - 8. Factor b(g).
-g**2*(g - 1)**2*(g + 1)/2
Let u(t) be the first derivative of -t**6/360 + t**5/60 - t**4/36 - 5*t**2/2 - 1. Let d(l) be the second derivative of u(l). Factor d(c).
-c*(c - 2)*(c - 1)/3
Let r(i) be the first derivative of 1/21*i**3 + 0*i**2 + 2*i + 1/70*i**5 + 2 + 1/21*i**4. Let z(x) be the first derivative of r(x). Let z(k) = 0. What is k?
-1, 0
Let x(u) be the third derivative of -u**2 + 0 - 1/36*u**4 + 0*u + 1/18*u**3 + 1/180*u**5. Factor x(s).
(s - 1)**2/3
Factor 8*q + 4*q**2 + 17 - 36 + 7.
4*(q - 1)*(q + 3)
Suppose 4*k - 15 = 9*k. Let q be (-24)/(-5)*(-7)/k. Determine x, given that -4/5 + 26/5*x - 26/5*x**2 - q*x**3 = 0.
-1, 1/4, 2/7
Find r, given that 0 + r**2 + 3*r - 2 + r**4 - 2*r**3 - r**3 = 0.
-1, 1, 2
Let q(b) be the first derivative of 1 - 1/2*b - 7/16*b**4 + 7/8*b**2 + 1/4*b**5 - 1/4*b**3. Factor q(h).
(h - 1)**2*(h + 1)*(5*h - 2)/4
Let x be (4/(-6))/((-2)/(-9)). Let w be 1/4*(-6)/x. Factor -1/2*q - 1/2*q**2 + 0 + 1/2*q**3 + w*q**4.
q*(q - 1)*(q + 1)**2/2
Let o(h) be the first derivative of -50/21*h**3 - 20/7*h**2 - 8/7*h + 4. Suppose o(x) = 0. What is x?
-2/5
Let w(m) be the third derivative of m**7/75 + 4*m**6/75 + 11*m**5/150 + m**4/30 + 31*m**2. Let w(q) = 0. Calculate q.
-1, -2/7, 0
Suppose 2*f = f + 2. Let 80*u - 2*u**f + u**2 - 79*u = 0. Calculate u.
0, 1
Let w(c) be the third derivative of c**9/20160 - c**8/5040 + c**7/5040 - c**5/15 + c**2. Let y(d) be the third derivative of w(d). Find r such that y(r) = 0.
0, 1/3, 1
Let k = 361/4 + -89. Factor 3/4*n**2 + 1/2 - k*n.
(n - 1)*(3*n - 2)/4
Let h(b) = 2*b**2 - 2*b - 3. Let o(x) = x**2 - 1. Suppose -3*t + 8*t - 3 = 3*w, 0 = 2*w - 4*t + 2. Let f(k) = w*h(k) + 3*o(k). Suppose f(u) = 0. Calculate u.
-2, 0
Let n be (-29)/(-14) - (2 + (-51)/21). Let -2*c**4 + 1/2 - 5/2*c**3 + 3/2*c**2 + n*c = 0. Calculate c.
-1, -1/4, 1
Let g(m) be the first derivative of -m**4/12 - 2*m**3/9 + m**2/2 - 9. Find j such that g(j) = 0.
-3, 0, 1
Let h(g) be the third derivative of 0 - g**2 - 1/24*g**4 - 1/120*g**5 + 0*g + 0*g**3. Let h(q) = 0. What is q?
-2, 0
Let z(o) = -3*o**2 - 12*o - 12. Let q(l) be the second derivative of l**4/12 + 2*l**3/3 + 2*l**2 - 7*l. Let j(b) = 8*q(b) + 3*z(b). Factor j(a).
-(a + 2)**2
Let u(y) = y**4 - y**3 - y**2 + y + 1. Let v(c) = -29*c**4 + 84*c**3 - 36*c**2 - 39*c + 21. Let m(g) = u(g) - v(g). Solve m(a) = 0 for a.
-2/3, 1/2, 1, 2
Let q(v) be the second derivative of v**5/90 - v**4/18 + v**3/9 - v**2/9 - 3*v. Factor q(c).
2*(c - 1)**3/9
Let b = 10 - 4. Let h be (-4)/(-12) - 2/b. Solve 2/11*x + 0 + h*x**2 - 2/11*x**3 = 0 for x.
-1, 0, 1
Suppose 3*u - 6 - 3 = 0, 2*o + 5 = 3*u. Factor 2*a**2 + 3*a**3 + a**4 + o*a**4 - 2*a**4.
a**2*(a + 1)*(a + 2)
Let m be 108/60*(-4)/(-6). Suppose -2/5*k**2 + 0 - m*k**4 - 2/5*k**5 + 0*k - 6/5*k**3 = 0. What is k?
-1, 0
Let b(x) = -x**2 - 4*x. Let v(l) = -2*l**2 - 7*l. Let g(z) = -7*b(z) + 4*v(z). Find c such that g(c) = 0.
0
Let w = 7/120 + 51/40. Factor 2/3*g + w - 2/3*g**2.
-2*(g - 2)*(g + 1)/3
Let t(s) be the first derivative of -2*s**5/35 - s**4/14 + 2*s**3/21 + s**2/7 - 57. Factor t(k).
-2*k*(k - 1)*(k + 1)**2/7
Let f(x) = 4*x**4 - 16*x**3 + 48*x**2 - 64*x + 34. Let a(l) = 5*l**4 - 16*l**3 + 48*l**2 - 64*l + 35. Let h(d) = -4*a(d) + 6*f(d). Factor h(q).
4*(q - 2)**4
Let z(o) = -10*o**3 + 14*o**2 - 22*o + 18. Let x(r) = r**3 + r**2 - r - 1. Let w(t) = 6*x(t) + z(t). Factor w(b).
-4*(b - 3)*(b - 1)**2
Let u = -250/7 - -36. Suppose u*d**3 + 10/7*d + 4/7 + 8/7*d**2 = 0. Calculate d.
-2, -1
Let p be (1 - -2)*(-3 - -4). Let q(a) be the first derivative of 2/3*a**2 + 2/9*a**p + 2/3*a + 2. Factor q(v).
2*(v + 1)**2/3
Let h = 1 + 2. Factor v**3 + 4*v**h + 0*v**3 - 2*v**3 - 3*v**4.
-3*v**3*(v - 1)
Let p be 1 + (-3 + 3 - 1). Determine n so that 1 + p*n**2 - n + 24*n**3 - n**2 - 23*n**3 + 0 = 0.
-1, 1
Let a be (-6)/(-33) - 10/55. Let d(g) be the third derivative of 1/480*g**6 + 0*g - g**2 + a*g**3 + 1/96*g**4 + 1/120*g**5 + 0. Factor d(m).
m*(m + 1)**2/4
Let y(g) be the first derivative of g**6/30 - 2*g**5/25 + 2*g**3/15 - g**2/10 - 9. Suppose y(n) = 0. What is n?
-1, 0, 1
Let d(k) = -k**2 + 1. Let o(g) = -14*g**2 + 10*g + 4. Let m(n) = 12*d(n) - o(n). Solve m(t) = 0 for t.
1, 4
Let o(k) = 3*k**2 + 1. Let x = 