or y(b).
-b**2*(b - 1)*(2*b - 1)**2/2
Solve -8/3 - 14/9*q**2 + 40/9*q + 2/9*q**4 - 4/9*q**3 = 0 for q.
-3, 1, 2
Let x = -13/18 + 11/9. Let y(d) be the second derivative of 3/20*d**5 + 2*d + d**3 + 0*d**2 + 0 - 3/14*d**7 - x*d**6 + 5/4*d**4. Find j such that y(j) = 0.
-1, -2/3, 0, 1
Let h be (-4)/34 - ((-480)/306)/2. Factor h + 0*p - 2/3*p**2.
-2*(p - 1)*(p + 1)/3
Suppose -3 = -0*b - b. Factor 2*d**3 + 3*d**2 + 5*d + 4*d**b - 3*d**4 - 11*d.
-3*d*(d - 2)*(d - 1)*(d + 1)
Factor 0*w - 26*w**2 - 86*w - 19*w**2 - 30 + 21*w - 10*w**3.
-5*(w + 1)*(w + 2)*(2*w + 3)
Let s(g) be the third derivative of g**5/60 - g**4/36 - g**3/18 + 11*g**2. Factor s(d).
(d - 1)*(3*d + 1)/3
Let g(c) = 3*c + 26. Let y be g(-8). Factor o**2 - 2*o**2 - y*o - o**2.
-2*o*(o + 1)
Find x such that -10/3*x**3 + 0*x - 4/3*x**2 + 2*x**4 + 0 = 0.
-1/3, 0, 2
Let c(n) be the third derivative of -n**8/84 - 2*n**7/35 - n**6/15 + 2*n**5/15 + n**4/2 + 2*n**3/3 + 27*n**2. Factor c(w).
-4*(w - 1)*(w + 1)**4
Suppose 0 = 45*i - 53*i. Determine t, given that i + 1/3*t**2 + t = 0.
-3, 0
Let k(y) be the first derivative of 3*y**4/4 - 4*y**3 + 15*y**2/2 - 6*y - 50. Suppose k(v) = 0. Calculate v.
1, 2
Factor -5 - 26*h**2 + 5 - 2*h**4 - 28*h**3 + 0*h**4.
-2*h**2*(h + 1)*(h + 13)
Let s(v) = -v**2 - 3*v + 2. Let d(y) = -y. Let f be d(2). Let a be s(f). Factor a*m**2 - m**2 - 2*m**3 - 3*m**2.
-2*m**3
Determine x, given that -2/7*x**2 + 0 + 2/7*x**5 - 2/7*x**3 + 0*x + 2/7*x**4 = 0.
-1, 0, 1
Factor -2*l**5 + 2*l**5 + l**4 - 6*l**3 - 3*l**5 - 10*l**4.
-3*l**3*(l + 1)*(l + 2)
Let n be (-99)/(-108) - 6/9. What is v in 1/2 - 1/4*v - n*v**2 = 0?
-2, 1
Let c(v) be the first derivative of -2/9*v**3 + 0*v + 1 - 2/3*v**2. Factor c(r).
-2*r*(r + 2)/3
Let b(p) = -11*p**5 + 14*p**4 - 5*p**3 - 56*p**2 + 14*p + 34. Let q(t) = t**5 + t**4 + t**2 + t + 1. Let j(i) = -b(i) - 6*q(i). Factor j(a).
5*(a - 2)**3*(a + 1)**2
Let m(t) = -t**3 - 5*t**2 + 4*t - 8. Let o be m(-6). Suppose -o = -n - 2. Suppose 0*d**n - 1/2*d**5 + 1/2*d**3 + 0*d**4 + 0*d + 0 = 0. What is d?
-1, 0, 1
Let l = 205 - 202. Factor -1/4*p**4 + 0 + 1/2*p**l - 1/4*p**2 + 0*p.
-p**2*(p - 1)**2/4
Let s(b) = b**3 - b + 2. Let o be s(0). Suppose -o*h + 7 = -3. Factor u**2 + 18 - h*u - 4*u + u**2 - 3*u.
2*(u - 3)**2
Let l(k) be the third derivative of -k**5/20 - k**4/4 + 3*k**3/2 + 2*k**2. Suppose l(a) = 0. What is a?
-3, 1
Let b(m) = m**4 - 1. Let p(v) = v**5 - 4*v**4 + 3*v**3 + v**2 + 7. Let t(g) = 35*b(g) + 5*p(g). Determine j so that t(j) = 0.
-1, 0
Let k(o) be the third derivative of -1/12*o**5 - 3*o**2 + 1/3*o**3 + 0 + 0*o - 1/30*o**6 + 7/24*o**4. Suppose k(b) = 0. What is b?
-2, -1/4, 1
Let p(a) = 190*a**2 + 80*a - 215. Let x(i) = -7*i**2 - 3*i + 8. Let z(l) = -2*p(l) - 55*x(l). Factor z(y).
5*(y - 1)*(y + 2)
Let a(d) = d. Let j be a(2). Suppose -4*i + 10 = -j*i. Determine s, given that 1 + 0 - i - 2*s**2 - 6*s = 0.
-2, -1
Let j(d) be the second derivative of d**6/6 + d**5/30 - d**4/3 + 7*d**3/6 + 8*d. Let r(n) be the second derivative of j(n). Determine t, given that r(t) = 0.
-2/5, 1/3
Let -8/21*l**2 + 2/21*l**3 + 0*l + 0 = 0. Calculate l.
0, 4
Let g(k) = 2*k**4 - 2*k**3 - 4*k**2 + 10*k - 6. Let q = -1 + 2. Let b(u) = u**2 - 1. Let r(n) = q*g(n) - 2*b(n). Find j, given that r(j) = 0.
-2, 1
Let b = 9 - 5. Suppose -3*g + b = g. Factor -7 - 10*h - 5*h - 12*h**2 + g + 0 - 3*h**3.
-3*(h + 1)**2*(h + 2)
Suppose 9 = 5*g - 6. Find h such that 34*h**4 + 6*h**5 + 34*h**g + 10*h - 38*h**2 + 34*h**5 + 4 - 84*h**3 = 0.
-1, -1/4, 2/5, 1
Let l(y) be the first derivative of -y**4/16 + 2*y**3/3 - 21*y**2/8 + 9*y/2 + 39. Factor l(z).
-(z - 3)**2*(z - 2)/4
Let 5/4*i**2 - 5/4*i**3 + 0*i + 0 - 25/2*i**4 - 10*i**5 = 0. What is i?
-1, -1/2, 0, 1/4
Suppose 0 = 3*r - 0*r - 3*p - 12, -5*p - 4 = 3*r. Let 20/11*u**r + 10/11*u**4 + 20/11*u**3 + 2/11 + 10/11*u + 2/11*u**5 = 0. What is u?
-1
Let v = -1 + 3. Suppose 2*b = -v + 8. Factor 2*s**2 + s - 3*s**b + s**2 + 0*s**2 - 5*s**2.
-s*(s + 1)*(3*s - 1)
Let x = 341/4 - 1641/20. Factor 0*b**2 + x*b**3 + 196/5*b**5 + 0 + 0*b + 112/5*b**4.
4*b**3*(7*b + 2)**2/5
Let o(k) be the second derivative of -k**7/8820 - k**6/2520 - 5*k**4/12 + 9*k. Let x(l) be the third derivative of o(l). Factor x(u).
-2*u*(u + 1)/7
Factor -24*x**3 - 2*x + 2*x**4 - 2*x + 5*x + 21*x**3.
x*(x - 1)**2*(2*x + 1)
Suppose 6/5*o - 3/5 - 3/5*o**2 = 0. What is o?
1
Let f(h) = -h - 3*h - 1 - h**2 + 3. Let x be f(-4). Factor 0*p**2 - 2 + 2*p**2 + 4*p - 4*p**x.
-2*(p - 1)**2
Let o(v) be the third derivative of -v**7/420 + v**6/120 + v**5/120 - v**4/24 - 7*v**2. Factor o(p).
-p*(p - 2)*(p - 1)*(p + 1)/2
Let d be ((-6)/36)/((-2)/116). Let b = d - 7. Find k, given that 2/3*k + 0 + 2*k**3 - b*k**2 = 0.
0, 1/3, 1
Let k(z) be the first derivative of -4*z**3/3 + 2*z**2 - 4. Factor k(u).
-4*u*(u - 1)
Let u(a) be the first derivative of -4*a**5/5 - 6*a**4 - 52*a**3/3 - 24*a**2 - 16*a - 16. Find s such that u(s) = 0.
-2, -1
Suppose 1/6*y**2 + 1/3 - 1/2*y = 0. What is y?
1, 2
Let m = -4 + 6. Let u be (4/3)/(4/m). Determine a so that -7/3*a - 5/3*a**2 - u = 0.
-1, -2/5
Let s be 6/(-12) + (2 - 5/4). Factor 1/4*r**5 + 0*r + 0 - 1/4*r**3 - s*r**2 + 1/4*r**4.
r**2*(r - 1)*(r + 1)**2/4
Let t = 6 + -3. Let u(f) be the second derivative of -t*f + 1/6*f**4 + 0 - 4/3*f**3 + 4*f**2. What is o in u(o) = 0?
2
Let r(x) be the second derivative of -x**6/2160 + x**5/360 - x**4/144 + x**3/3 + 3*x. Let z(l) be the second derivative of r(l). Factor z(v).
-(v - 1)**2/6
Let o be (1*-3)/(3 - (-33)/(-2)). Suppose o*r**5 + 0*r**2 + 0*r + 2/9*r**3 + 0 - 4/9*r**4 = 0. What is r?
0, 1
Find k such that 1/6*k + 0 + 1/6*k**2 = 0.
-1, 0
Let j be 4 + ((-20)/5)/2. Factor 0 + 2/3*p**j - 2/3*p**4 - 1/3*p + 0*p**3 + 1/3*p**5.
p*(p - 1)**3*(p + 1)/3
Let s(j) = -3*j**4 - 22*j**3 - 25*j**2 - 12*j + 2. Let y(p) = -p**4 + p**3 + p - 1. Let m(c) = s(c) + 2*y(c). Solve m(n) = 0 for n.
-2, -1, 0
Let z = -136 - -547/4. What is x in 3/4 - z*x**2 + 0*x = 0?
-1, 1
Let f(r) be the third derivative of -r**6/48 - 11*r**5/120 - r**4/24 - 26*r**2. Factor f(c).
-c*(c + 2)*(5*c + 1)/2
Factor 157 + 11*d**2 - 45*d - 16*d**2 - 197.
-5*(d + 1)*(d + 8)
Suppose -4*a - a = 0. Suppose -5*q = -4*x - 10, 2*q + 3*x - 4 + 0 = a. Solve q*n - n**3 + n + 0*n - 2 = 0.
-2, 1
Let p(k) be the first derivative of k**3/9 + k**2/2 - 4*k/3 + 3. Factor p(b).
(b - 1)*(b + 4)/3
Let c(z) = -z. Let f(d) = 2*d. Let x(i) = 3*c(i) + f(i). Let p be (24/10 - 2)*15. Let k(v) = -v**2 + 5*v. Let m(o) = p*x(o) + k(o). Factor m(w).
-w*(w + 1)
Let k(i) be the third derivative of 1/735*i**7 + 0 + 2*i**2 - 1/42*i**4 - 1/21*i**3 + 0*i + 1/210*i**6 + 0*i**5. Determine b so that k(b) = 0.
-1, 1
Let s(v) be the third derivative of -1/10*v**3 + 1/100*v**6 + 0 + 3/100*v**5 + 0*v**4 + 0*v + 2*v**2. Factor s(t).
3*(t + 1)**2*(2*t - 1)/5
Let p(r) be the first derivative of -2*r**4 - 14*r**3/3 - 2*r**2 + 2*r - 4. Factor p(x).
-2*(x + 1)**2*(4*x - 1)
Factor 6/5*q**3 - 3/5*q**5 - 6/5*q**2 - 3/5*q + 3/5 + 3/5*q**4.
-3*(q - 1)**3*(q + 1)**2/5
Let u(t) = t**3 - 43*t**2 + 103*t. Let g(c) = 4*c**3 - 216*c**2 + 516*c. Let n(v) = 3*g(v) - 16*u(v). Find x, given that n(x) = 0.
0, 5
Suppose 0 = -3*r - 17 - 7. Let v = 11 + r. Factor 1/5*u**4 - 1/5*u**2 + 0 + 0*u + 1/5*u**v - 1/5*u**5.
-u**2*(u - 1)**2*(u + 1)/5
Suppose 4*c - 7 = -5*n, n - 13 = -4*c - 2. Suppose -6*v + 12 = -c*v. Determine p, given that 2*p + 0*p**2 + p**4 + p**v - 2*p**2 - 2*p**3 = 0.
-1, 0, 1
Let m(f) be the second derivative of f**5/30 + 2*f**4/9 + 5*f**3/9 + 2*f**2/3 - 4*f. Factor m(a).
2*(a + 1)**2*(a + 2)/3
Let o(z) be the third derivative of -z**7/75 - 4*z**6/75 - 11*z**5/150 - z**4/30 - 5*z**2. Factor o(y).
-2*y*(y + 1)**2*(7*y + 2)/5
Let i = 3 + 1. Let z(m) be the second derivative of 0*m**3 + 1/10*m**5 + 1/15*m**6 - 1/6*m**i - 1/21*m**7 - 4*m + 0*m**2 + 0. Factor z(o).
-2*o**2*(o - 1)**2*(o + 1)
Let y(r) be the second derivative of -2*r**7/105 + r**6/30 - 3*r**2/2 - 7*r. Let u(l) be the first derivative of y(l). Factor u(i).
-4*i**3*(i - 1)
Let b be (3/(3 + 6))/((-21)/(-18)). Factor 0*w**4 + 0*w**2 + 2/7*w**5 - 4/7*w**3 + 0 + b*w.
2*w*(w - 1)**2*(w + 1)**2/7
Let l(a) = -6*a**3 + 6*a**2 - a - 9. Let h(n) = -n**3 + n**2 - n - 1. Let d(w) = -15*h(w) + 3*l(w). Factor d(g).
-3*(g - 2)*(g - 1)*(g + 2)
Suppose k - 22 = -2. Suppo