0. What is o?
-1, -2/5, -1/3, 1
Let g be 14 - (-3672)/(-280) - (-6)/(-10). Factor -16/7*w**3 - 48/7*w - 44/7*w**2 - 18/7 - g*w**4.
-2*(w + 1)**2*(w + 3)**2/7
Let a = 8 + -5. Suppose 3*u - 11 = -4*h + 5, -8 = -2*h. Factor -2/5*y + 2/5*y**a - 2/5*y**2 + 2/5*y**4 + u.
2*y*(y - 1)*(y + 1)**2/5
Let o(w) be the second derivative of 5*w**4/12 + 5*w**3/6 - 5*w**2 - 24*w. Solve o(m) = 0 for m.
-2, 1
Let m(a) = -4*a + 92. Let k be m(23). Factor 0 - 4/7*h**2 + k*h + 2/7*h**3.
2*h**2*(h - 2)/7
Let a(t) = -2*t**3 + 2*t**2 + 4*t - 2. Let s be -1 + 0 - 1 - 0. Let f = 2 - 5. Let l(u) = 2*u**3 - u**2 - 5*u + 1. Let g(x) = f*a(x) + s*l(x). Factor g(o).
2*(o - 2)*(o - 1)*(o + 1)
Let c be (1 + 1 - 0) + -2. Let f(l) be the third derivative of -1/60*l**6 + 1/36*l**4 + 0*l + c + 0*l**5 + 0*l**3 - 3*l**2 - 2/315*l**7. Factor f(d).
-2*d*(d + 1)**2*(2*d - 1)/3
Let u(r) = 30*r**3 + 54*r**2 - 10*r - 34. Let k(i) = -6*i**3 - 11*i**2 + 2*i + 7. Let v(m) = -14*k(m) - 3*u(m). Suppose v(a) = 0. Calculate a.
-1, 2/3
Let v(z) = -9*z**2 - 30*z - 49. Let m(w) = -10*w**2 - 30*w - 50. Let o(d) = 4*m(d) - 5*v(d). Factor o(i).
5*(i + 3)**2
Let f be (-1 + (-2 - -4))*3. Factor 2/5*r**5 + 2/5*r**4 - 2/5*r**f + 0 - 2/5*r**2 + 0*r.
2*r**2*(r - 1)*(r + 1)**2/5
Let k(y) be the first derivative of 3 - 1/7*y**3 - 3/14*y**2 + 3/28*y**4 + 3/7*y. Let k(l) = 0. What is l?
-1, 1
Let h(t) be the first derivative of -t**7/42 + t**6/30 + t**5/20 - t**4/12 - 2*t + 1. Let p(i) be the first derivative of h(i). Factor p(w).
-w**2*(w - 1)**2*(w + 1)
Let v be (2/(-4))/((-5)/40). Factor x**3 + x**3 - 2*x**2 - 6*x**3 - 2*x**v.
-2*x**2*(x + 1)**2
Let m = 6 + -3. Factor -3*i - 3*i**2 + 3 - m.
-3*i*(i + 1)
Let d = 18 - 27. Let q be -1 + 2 + d/21. Factor 2/7*s**2 + 2/7 - q*s.
2*(s - 1)**2/7
Suppose 4*v = -5*f - 1 + 2, 2*f - 14 = -5*v. Let 2*a**4 - 2*a**3 + 0*a**v + 0*a**3 = 0. What is a?
0, 1
Let g(b) = 5*b**3 + b - 6. Let l(s) = 4*s**3 - s**2 + 2*s - 5. Let c(p) = -3*g(p) + 4*l(p). What is y in c(y) = 0?
1, 2
Let r(c) be the second derivative of 7*c**6/120 + 3*c**5/20 + c**4/16 - c**3/12 - 7*c. Let r(l) = 0. Calculate l.
-1, 0, 2/7
Suppose 58*t + 24 = 70*t. Solve -1 + x - 1/4*x**t = 0 for x.
2
Let u be 210/80*4 - 9. Factor -3/2*x**2 + 3/2 + u*x**3 - 3/2*x.
3*(x - 1)**2*(x + 1)/2
Suppose 5*b - 2*b - 74 = -s, -2*b = -2*s - 44. Factor -k**2 - 23*k + k**3 + 3*k**2 + b*k.
k*(k + 1)**2
Factor -60/7*w**3 + 0 - 16/7*w + 2*w**4 + 72/7*w**2.
2*w*(w - 2)**2*(7*w - 2)/7
Let g(c) be the second derivative of -c**6/165 + c**5/110 + 11*c. Factor g(h).
-2*h**3*(h - 1)/11
Let p(s) be the second derivative of -s**5/80 + s**4/16 - s - 4. Factor p(q).
-q**2*(q - 3)/4
Let p(x) be the first derivative of -x**6/9 - 8*x**5/15 - x**4 - 8*x**3/9 - x**2/3 - 2. Factor p(r).
-2*r*(r + 1)**4/3
Let o be 0 + 3/54 - (-116)/261. Solve -1/2*i - 1/4*i**4 + o*i**3 + 1/4 + 0*i**2 = 0 for i.
-1, 1
Let t = -17 - -21. Let b(a) be the first derivative of 0*a**t + 2/9*a**6 + 0*a**3 - 1 + 0*a**2 + 1/15*a**5 + 0*a. Determine f so that b(f) = 0.
-1/4, 0
Let v(b) be the third derivative of 0*b**7 + 0*b**5 + 1/330*b**6 + 0 + 0*b**3 + 0*b - 1/1848*b**8 - 1/132*b**4 - b**2. Factor v(q).
-2*q*(q - 1)**2*(q + 1)**2/11
Let n(f) = 12*f**5 - 10*f**4 - 8*f**3 + 7*f**2 + 2*f. Let z(l) = -l**5 + l**4 - l**3. Let y(x) = n(x) + 3*z(x). Let y(q) = 0. Calculate q.
-1, -2/9, 0, 1
Let h = -84 - -86. Determine y so that -1/3*y**h + 0*y + 0 = 0.
0
Let q(m) be the third derivative of -m**7/98 - 3*m**6/280 + m**5/20 + 3*m**4/56 - m**3/7 + 2*m**2. Suppose q(w) = 0. Calculate w.
-1, 2/5, 1
Let s(b) = 7*b**3 - 7*b**2 - 4*b + 4. Let f(z) = 36*z**3 - 36*z**2 - 20*z + 20. Let y(j) = 3*f(j) - 16*s(j). Factor y(c).
-4*(c - 1)**2*(c + 1)
Suppose -2*n = 5*n - 42. Let x(l) be the third derivative of -1/40*l**n + 1/20*l**5 + 0*l + 0 - 1/24*l**4 - 2*l**2 + 1/210*l**7 + 0*l**3. Factor x(f).
f*(f - 1)**3
Let m = 6 + -8. Let b be -3*(26/(-6) - m). Factor 7*z**2 + 3*z - b*z**2 + 3*z**2.
3*z*(z + 1)
Factor -38*z**3 + 15*z**2 + 26*z**3 + 3*z**4 + 0*z + 0*z - 6*z.
3*z*(z - 2)*(z - 1)**2
Let p(w) = 6*w**3 + 13*w**2 + 65*w + 24. Suppose -3*t - t = -68. Let n(z) = -2*z**3 - 4*z**2 - 22*z - 8. Let d(i) = t*n(i) + 6*p(i). Let d(m) = 0. What is m?
-2, -1
Let d(n) be the first derivative of -n**6/120 - 3*n**2/2 + 1. Let p(c) be the second derivative of d(c). Factor p(q).
-q**3
Let i = -46 + 100. Find q, given that -64*q + 172*q + q**4 + 12*q**3 + i + 27 + 54*q**2 = 0.
-3
Factor 2*v**2 + 8/3*v + 8/9.
2*(3*v + 2)**2/9
Let x(n) = 2*n**2 + n - 2. Let s be x(-2). Factor 4*o**4 + 0*o**4 + s*o**3 + 2*o**2 - 2*o**4.
2*o**2*(o + 1)**2
Let k be -1*(-3 - 3/(-3)). Let f(h) be the second derivative of 0 - 1/4*h**k - 1/8*h**3 + h - 1/48*h**4. Factor f(j).
-(j + 1)*(j + 2)/4
Let z(m) be the third derivative of 0*m + 0*m**3 - 8*m**2 + 1/10*m**5 - 1/8*m**4 + 0 - 1/40*m**6. Factor z(i).
-3*i*(i - 1)**2
Let l(y) be the second derivative of 3/50*y**5 - 2/5*y**2 - 4/15*y**4 + 0 - 2*y + 7/15*y**3. Factor l(d).
2*(d - 1)**2*(3*d - 2)/5
Let x = 13 - 37/3. Factor 0 + 2/3*n - 4/3*n**4 + 0*n**3 + 4/3*n**2 - x*n**5.
-2*n*(n - 1)*(n + 1)**3/3
Let a(b) be the third derivative of 1/300*b**6 + 0 + 0*b + 0*b**3 - 1/150*b**5 + 2*b**2 - 1/30*b**4. Factor a(q).
2*q*(q - 2)*(q + 1)/5
Let a(u) be the first derivative of -5*u**4/4 - 5*u**3/3 + 5*u**2/2 + 5*u + 12. Factor a(w).
-5*(w - 1)*(w + 1)**2
Let g = 1343/249 + -5/83. Let w(u) be the first derivative of 2*u + 6*u**2 + g*u**3 + 2 - 18/5*u**5 - 4/3*u**6 - u**4. Let w(b) = 0. What is b?
-1, -1/4, 1
Determine d so that 9/4 + 93/2*d**2 - 27/2*d**3 - 243/4*d**4 - 75/4*d + 81/4*d**5 = 0.
-1, 1/3, 3
Let p(x) be the third derivative of x**5/80 - x**3/8 + 22*x**2. Factor p(v).
3*(v - 1)*(v + 1)/4
Let c = -7 - -9. Determine n, given that n - 3*n**3 + c*n**3 + 3 - n**2 - 2 = 0.
-1, 1
Factor 0*y - 3 + 8*y**2 - 3*y - 3*y**4 - 3*y**5 + 6*y**3 - 2*y**2.
-3*(y - 1)**2*(y + 1)**3
Let j = 4 - 4. Suppose 3*c + j*c - 15 = 0. Factor -h**2 - 9*h**c - 22*h**3 + 5*h**2 - 5*h**5 + 32*h**4.
-2*h**2*(h - 1)**2*(7*h - 2)
Let r = 63 + -435/7. Let r*k + 16/7*k**2 + 6/7*k**3 - 4/7 = 0. What is k?
-2, -1, 1/3
Let p(w) = -2*w**3 - 12*w**2 - 2*w - 12. Let h be p(-6). Factor -2/5*t**3 - 2/5*t - 4/5*t**2 + h.
-2*t*(t + 1)**2/5
Suppose 7*z + 6 = 10*z. Factor 0 + 1/2*a + 0*a**z - 1/2*a**3.
-a*(a - 1)*(a + 1)/2
Let -15/4*t**2 - 6*t - 3/4*t**3 - 3 = 0. What is t?
-2, -1
Let g(m) = 1. Let h(i) = 8*i**4 - 4*i**3 - 4*i**2 + 6. Let c(f) = -6*g(f) + h(f). Suppose c(b) = 0. What is b?
-1/2, 0, 1
Let s(t) = 156*t**4 + 208*t**3 - 20*t**2 - 104*t - 32. Let c(z) = 24*z**4 + 32*z**3 - 3*z**2 - 16*z - 5. Let k(w) = -32*c(w) + 5*s(w). Solve k(p) = 0 for p.
-1, 0, 2/3
Suppose 0 = -o + 3*o + 16. Let x be 6/o - (-6 + 5). Suppose -x*d + 0 - 1/4*d**2 = 0. Calculate d.
-1, 0
Let c(h) be the second derivative of -h**4/78 + 2*h**3/39 - h**2/13 - 48*h. Factor c(x).
-2*(x - 1)**2/13
Find q, given that -8/9*q**2 + 0 - 8/9*q + 98/9*q**3 + 98/9*q**4 = 0.
-1, -2/7, 0, 2/7
Factor 4/3 + 0*y**2 - 2/3*y**3 + 2*y.
-2*(y - 2)*(y + 1)**2/3
Let 1/2*a**2 - 5/2*a + 3 = 0. Calculate a.
2, 3
Let l(h) = -6*h**4 - 38*h**3 - 46*h**2 - 50*h - 20. Let k(x) = 2*x**4 + 13*x**3 + 15*x**2 + 17*x + 7. Let j(t) = 8*k(t) + 3*l(t). Factor j(z).
-2*(z + 1)**3*(z + 2)
Let y(t) be the first derivative of 1/3*t**2 - 1/9*t**3 + 7 + 0*t. Factor y(d).
-d*(d - 2)/3
What is r in 8/7 + 2/7*r - 2/7*r**3 - 8/7*r**2 = 0?
-4, -1, 1
Let m be (2/18)/(2*4/24). Factor -2/3 + m*r**3 - 1/3*r + 2/3*r**2.
(r - 1)*(r + 1)*(r + 2)/3
Suppose 0 = x - 2. Suppose 4*s**2 - 4*s**4 + 4*s**3 - 2*s**x + 4*s + 8*s**3 - 14*s**2 = 0. Calculate s.
0, 1
Let g(d) = -d**3 - d - 5. Let l be g(0). Let x be 7/1 + 2 + l. Let 4*u**3 + 3 + 15*u + u**x - u**2 - 11*u - 2 + 7*u**2 = 0. What is u?
-1
Let q = 21 + -61/3. Let 1/3*j - q*j**2 + 1/3*j**3 + 0 = 0. Calculate j.
0, 1
Let l be ((-8)/6)/((-12)/18). Let m(u) be the second derivative of 0 - 1/48*u**4 + 0*u**l - 2*u + 1/24*u**3. Find w, given that m(w) = 0.
0, 1
Let b be 0 + (10 - (2 + 0)). Suppose 4*z - 26 = 3*v, 3*v = 4*z - v - 24. Factor -2*m**3 + 6 - z*m**2 - b*m - 6.
-2*m*(m + 2)**2
Let u be (30/18)/(25/60). Let c(s) be the second derivative of -u*s**3 + 5/4*s**4 - 3/20*s**5 + 2*s + 0 + 6*s**2. Factor c(v).
-3*(v - 2)**2*(v - 1)
Find h such that -21*h**4 + 5*h - 9