given that f(x) = 0.
-2
Let t be (34/7 - 2) + (-1)/(-7). Find i, given that 2/3*i + 0 - 2/3*i**4 + 2*i**t - 2*i**2 = 0.
0, 1
Let m(f) be the first derivative of 3*f**5/25 - 3*f**4/20 - 3*f**3/5 + 3*f**2/10 + 6*f/5 - 10. Factor m(y).
3*(y - 2)*(y - 1)*(y + 1)**2/5
Let u = 844 + -844. Factor -1/4*w**2 + u*w + 1/4.
-(w - 1)*(w + 1)/4
Let i(u) be the first derivative of -3/25*u**5 + 3/20*u**4 + 1/30*u**6 + 0*u**2 + 0*u - 5 - 1/15*u**3. Solve i(g) = 0.
0, 1
Let l(o) be the third derivative of 0*o - 3*o**2 + 0 + 1/120*o**6 + 2/105*o**7 + 0*o**3 - 1/24*o**4 - 1/15*o**5. Find x such that l(x) = 0.
-1, -1/4, 0, 1
Let m(c) be the first derivative of c**5/90 + c**4/36 - 2*c**3/9 + c**2/2 + 2. Let d(r) be the second derivative of m(r). Factor d(u).
2*(u - 1)*(u + 2)/3
Let c be (-5 - -6) + 0 + -1. Let z(r) be the second derivative of -3*r + c*r**2 + 1/70*r**5 + 0 - 2/21*r**4 + 4/21*r**3. Solve z(f) = 0.
0, 2
Let b(q) be the third derivative of 3*q**7/560 + q**6/160 - 3*q**5/160 - q**4/32 - 2*q**2 + 10*q. Let b(w) = 0. What is w?
-1, -2/3, 0, 1
Let x(g) be the third derivative of -g**8/20160 + g**7/3780 + g**6/720 - g**4/6 + 4*g**2. Let b(f) be the second derivative of x(f). Factor b(a).
-a*(a - 3)*(a + 1)/3
Let i(z) be the first derivative of z**3/6 + z**2/2 + z/2 + 2. Determine l, given that i(l) = 0.
-1
Suppose -y = -3*y. Let -2*j - j**4 + 0*j + y*j**4 + 3*j**2 = 0. Calculate j.
-2, 0, 1
Let c(r) = r**2 - 3*r - 1. Let z be c(-2). Let p = -5 + z. Factor -3*q**5 + 3 + 6*q**2 - p*q**3 + 9*q - 9*q**4 - 2*q**3 + 0*q**3.
-3*(q - 1)*(q + 1)**4
Let g be (5 + -2)*(-4 - -3). Let m be g - -6 - (-10)/(-6). Find c, given that -11/3*c + 14/3*c**2 + 2/3 + m*c**3 + 7/3*c**5 - 16/3*c**4 = 0.
-1, 2/7, 1
Let o = -175 - -177. Determine c so that -3/2*c**3 - 3/2*c**o + 0 + 0*c = 0.
-1, 0
Let g be 1/(-2)*8/(-2). Factor -n**2 + 4*n - 4*n**3 + 2*n**3 + 3*n**g.
-2*n*(n - 2)*(n + 1)
Suppose -139*y**2 + 131*y**2 + 14*y**4 - 12*y**4 = 0. What is y?
-2, 0, 2
Suppose -2 = -2*y - 0*u - 4*u, -4*u = 5*y - 11. Let q = 2 + y. Factor 2*w**2 - 3*w**3 + 4*w - 8*w**2 + q*w**3.
2*w*(w - 2)*(w - 1)
Factor 16/9*q**3 + 64/9*q**2 + 4 + 28/3*q.
4*(q + 1)*(2*q + 3)**2/9
Let c(i) be the second derivative of -i**7/21 + 7*i**6/3 - 45*i**5 + 405*i**4 - 1215*i**3 - 6561*i**2 + 39*i. What is u in c(u) = 0?
-1, 9
Determine a so that a + 30*a**2 - 10*a**2 + 16*a**3 + 4*a**4 - a + 8*a = 0.
-2, -1, 0
Let k(i) be the second derivative of -i**5/15 + 4*i**4/3 - 32*i**3/3 + i**2 - 10*i. Let p(x) be the first derivative of k(x). Solve p(s) = 0.
4
Let q(x) be the third derivative of x**5/60 + 4*x**3/3 - 3*x**2. Let o(l) = l + 1. Let b(r) = -4*o(r) + q(r). Determine u, given that b(u) = 0.
2
Let p(v) = v**4 - v**3 - v. Let j(c) = 4*c**4 + 2*c**3 - 6*c - 2. Let f(u) = 2*j(u) - 4*p(u). Find r, given that f(r) = 0.
-1, 1
Let u be 7/3*8/84. Solve 0*a + u*a**2 - 2/9 = 0.
-1, 1
Factor -48*g - 36*g**2 - 9*g**3 - 3/4*g**4 + 0.
-3*g*(g + 4)**3/4
Let g(u) = -5*u**3 + 6*u**2 + 18*u + 7. Let r(h) = -36*h**3 + 42*h**2 + 126*h + 48. Let v(m) = -44*g(m) + 6*r(m). Factor v(b).
4*(b - 5)*(b + 1)**2
Let x(d) = -5*d**2 - 8*d + 10. Let k(l) = -l**2 - 1. Let a(h) = 6*k(h) - x(h). Suppose a(i) = 0. What is i?
4
Let h(l) be the second derivative of l**6/150 + 7*l**5/100 + 3*l**4/10 + 2*l**3/3 + 4*l**2/5 + 30*l. Suppose h(b) = 0. Calculate b.
-2, -1
Let h be (-1 - (-2 - -1))/(-2). Find m such that 2/5*m - 2/5*m**3 + 0*m**2 + h = 0.
-1, 0, 1
Let h = -49 - -49. Let d(n) be the third derivative of n**2 + 1/3*n**3 + 1/120*n**5 + 0*n + 1/12*n**4 + h. Factor d(w).
(w + 2)**2/2
Suppose 5*n - 8 = n. Find z, given that 2*z**3 - 4 - 8*z**n + 3*z + 11*z - 4*z = 0.
1, 2
Let f be (-4 - 2)/(-2)*-3. Let u = f + 13. Let 13*z**3 - 4*z + 3*z**3 + 6*z**2 + 8*z**3 + 14*z**u = 0. What is z?
-1, 0, 2/7
Find h such that 3/4*h**3 + 6*h - 3 - 15/4*h**2 = 0.
1, 2
Suppose -3*i**3 + 2*i**3 - 8*i**3 - 6*i**2 - 3*i**4 = 0. Calculate i.
-2, -1, 0
Let s(t) be the third derivative of 0*t + 0 - 5*t**2 - 1/120*t**6 + 0*t**3 - 1/60*t**5 + 1/210*t**7 + 1/24*t**4. Factor s(m).
m*(m - 1)**2*(m + 1)
Let v(s) = s + 8. Let u be v(-4). Let j(t) be the second derivative of 0 - 1/12*t**u - t**2 - 1/2*t**3 + 2*t. Factor j(g).
-(g + 1)*(g + 2)
Let t = -466 + 468. Factor 0 + 3/2*h**4 + 1/2*h**5 + 0*h - 2*h**t + 0*h**3.
h**2*(h - 1)*(h + 2)**2/2
Let u(f) = 88*f - 1. Let g be u(2). Let k = 1227/7 - g. Factor 0 + 2/7*h**4 - 2/7*h**2 - 2/7*h**3 + k*h.
2*h*(h - 1)**2*(h + 1)/7
Let y(p) be the second derivative of 2*p**7/21 + 2*p**6/5 + 2*p**5/5 - 2*p**4/3 - 2*p**3 - 2*p**2 - 9*p. Factor y(i).
4*(i - 1)*(i + 1)**4
Let w be 30/(-75) + (0 - 4/(-10)). Find q such that w*q + 1/2*q**3 + 0 - 1/2*q**2 = 0.
0, 1
Let p = -11 - -16. Factor 0*o**3 + 0*o**3 - 3*o**2 + 2*o**3 - p*o**3 + 3*o + 3.
-3*(o - 1)*(o + 1)**2
Let a(w) = -15*w**3 - 160*w**2 - 125*w - 20. Let z(b) = -2*b**3 - 23*b**2 - 18*b - 3. Let l(m) = 3*a(m) - 20*z(m). Suppose l(o) = 0. Calculate o.
-3, -1, 0
Let x(s) be the first derivative of s**4 - 8*s**3 + 24*s**2 - 32*s - 8. Factor x(b).
4*(b - 2)**3
Let t = 358 + -2500/7. Let j be 54/63 - (-10)/(-35). Let -t*i + j + 2/7*i**2 = 0. What is i?
1, 2
Let d = 3/35 - 527/840. Let y = d - -7/8. Factor 0*n - y*n**4 + 1/3*n**5 + 0 + 1/3*n**2 - 1/3*n**3.
n**2*(n - 1)**2*(n + 1)/3
Let s(l) be the second derivative of -3*l**5/20 + 3*l**4/2 - 6*l**3 + 12*l**2 + l. Factor s(n).
-3*(n - 2)**3
Suppose -2*z - m = -7, -3*z - 3*m = -5*m - 7. Suppose -h + 4*h**3 - h + 16*h**2 - 5*h**z - 13*h**2 = 0. Calculate h.
0, 1, 2
Solve -6*s**3 - 3 + 3/2*s**5 + 0*s**4 + 3*s**2 + 9/2*s = 0.
-2, -1, 1
Factor -3*a**2 - 3*a**3 - 12*a**2 - 41*a + 29*a.
-3*a*(a + 1)*(a + 4)
Let t = 8 + -7. Let j = t - -3. Factor 6*s**4 - 5*s**j + 3*s**3 + 0*s**3 - 2*s**3.
s**3*(s + 1)
Let y(m) be the second derivative of -m**5/30 + m**4/18 + 5*m**3/9 + m**2 + 4*m. Factor y(l).
-2*(l - 3)*(l + 1)**2/3
Let r(z) be the second derivative of 1/21*z**7 + 1/3*z**4 - 6*z + 1/3*z**3 - 1/15*z**6 - z**2 - 1/5*z**5 + 0. Suppose r(j) = 0. What is j?
-1, 1
Let c be 3*3/12*(-24)/(-27). Let h(b) be the first derivative of -1/2*b**4 + 2 - c*b**3 + 0*b + 2*b**2. Factor h(q).
-2*q*(q - 1)*(q + 2)
Factor -12/7*j - 2/7 - 24/7*j**2 - 16/7*j**3.
-2*(2*j + 1)**3/7
Suppose 0 = 2*l - 5 - 7. Suppose -a - 10 = -l*a. Let -7/3*t - 4*t**a - 1/3 = 0. What is t?
-1/3, -1/4
Let n(w) be the second derivative of 3/14*w**3 + 4*w + 3/7*w**2 + 1/28*w**4 + 0. Suppose n(v) = 0. Calculate v.
-2, -1
Suppose 0*m + 4*m = -2*m. Let w(o) be the third derivative of 3*o**2 + 0*o + m*o**3 + 1/120*o**5 - 1/48*o**4 + 0. Solve w(b) = 0.
0, 1
Let c(o) be the first derivative of 4/21*o**3 + 0*o**2 - 9 + 5/14*o**4 + 0*o - 5/21*o**6 - 4/35*o**5. Solve c(h) = 0 for h.
-1, -2/5, 0, 1
Let z = 2467/20 - 370/3. Let c(t) be the third derivative of -5/24*t**4 - z*t**5 + 1/60*t**6 + 0 - 2*t**2 + 0*t - 1/3*t**3. Suppose c(h) = 0. Calculate h.
-1, -1/2, 2
Let g(m) be the first derivative of -m**3/12 + 4. Factor g(u).
-u**2/4
Let h = -18 + 18. Factor h + 2/3*q - 2/3*q**2.
-2*q*(q - 1)/3
Let y(f) be the third derivative of -f**7/315 + f**6/30 - f**5/10 - 8*f**2. Factor y(w).
-2*w**2*(w - 3)**2/3
Let c(q) be the first derivative of 2/3*q**3 + 3 + 0*q**2 - 2*q. Factor c(u).
2*(u - 1)*(u + 1)
Suppose -6*q = -5*q - 2. Factor 1/2*c + 0 + 1/2*c**q.
c*(c + 1)/2
Solve -6/7*m - 9/7 + 3/7*m**2 = 0 for m.
-1, 3
Suppose 4*g = -4*c + 6*c + 16, 4*g - 3*c - 12 = 0. Factor 8*h**2 - g*h + 4 + 0 - 6*h**2.
2*(h - 2)*(h - 1)
Factor -10*t**2 - 13*t**2 - 4*t**2 + 26 + 22*t**2 - 63*t.
-(t + 13)*(5*t - 2)
Let p(x) be the first derivative of 0*x - 3/2*x**2 - 7/240*x**5 + 1/12*x**3 + 5/96*x**4 - 2. Let y(u) be the second derivative of p(u). Factor y(l).
-(l - 1)*(7*l + 2)/4
Let f be 7*3/5 + -4. Let q(l) be the first derivative of -l + 1 + 0*l**4 + 2/3*l**3 + 0*l**2 - f*l**5. Factor q(p).
-(p - 1)**2*(p + 1)**2
Let c(f) = -10*f**3 + 3*f. Suppose 5*p - 4*z = 13, 4*z = -3*p - z + 30. Let x(a) = -7*a**3 + 2*a + 14 + 9 - 23. Let n(h) = p*c(h) - 7*x(h). Factor n(b).
-b*(b - 1)*(b + 1)
Factor -2/3 - 16/21*n - 2/21*n**2.
-2*(n + 1)*(n + 7)/21
Let w(l) be the second derivative of l**6/2 - 3*l**5/10 - 15*l**4/4 - 2*l**3 + 6*l**2 - 8*l. Factor w(k).
3*(k - 2)*(k + 1)**2*(5*k - 2)
Let s(x) be the first derivative of 0*x**2 + 0*x + 5 + 1/26*x*