etermine x, given that 160/13 + 48/13*x**2 - 2/13*x**3 - 168/13*x = 0.
2, 20
Let 109*a**3 + 65*a**2 - 60*a + 20 + 5*a**4 - 57*a**3 - 82*a**3 = 0. Calculate a.
1, 2
Factor -7*z**3 + 11*z**3 + 12*z - 2*z**3 + 8 - 6*z**3.
-4*(z - 2)*(z + 1)**2
Let u(d) be the second derivative of -d**5/15 + d**4/3 + 8*d**3/9 + 8*d + 3. Let u(m) = 0. What is m?
-1, 0, 4
Determine q so that -28*q**2 - 4/3*q**4 - 40/3*q**3 + 400/3 + 160/3*q = 0.
-5, -2, 2
Factor 6/13*i**2 - 2/13*i**4 + 4/13*i**3 - 8/13*i - 8/13.
-2*(i - 2)**2*(i + 1)**2/13
Let d be ((-6)/14)/(222/(-259)). Let g(u) be the first derivative of -4*u + 0*u**3 + 3*u**2 - 6 - d*u**4. Factor g(o).
-2*(o - 1)**2*(o + 2)
Let h = 126 + -124. Suppose -d = -3*i, h*i = i + 1. Suppose 4/5*c**d + 4/5*c**4 + 0*c + 0*c**2 + 0 = 0. What is c?
-1, 0
Let d(o) = -o**4 - o**3 + o + 1. Let r(c) = 9*c**4 - 9*c**3 - 6*c - 6. Let s(v) = 6*d(v) + r(v). Factor s(j).
3*j**3*(j - 5)
Factor -21 - 3/4*m**3 - 33/4*m**2 - 24*m.
-3*(m + 2)**2*(m + 7)/4
Let s = -419 - -6287/15. Let v(t) be the second derivative of 4*t + 1/5*t**4 - s*t**3 + 0 + 0*t**2 + 7/100*t**5. Solve v(j) = 0 for j.
-2, 0, 2/7
Let -4*b**2 - 2*b**2 + 3*b**2 + 0*b**3 + 15 - 13*b + b**3 = 0. Calculate b.
-3, 1, 5
Suppose n = -4*z - 294, -3 = 5*n - 13. Let v be 14/35 + z/(-15). Find s, given that 8*s + v + 3*s**2 + 1/3*s**3 = 0.
-4, -1
Let y be (-2)/(-2) + 2 + -1. Suppose -l - 4 = -y*l. Factor 0*g**2 + 2*g**4 + g**2 + 3*g**3 + 1 - 3*g - 4*g**l.
-(g - 1)**2*(g + 1)*(2*g - 1)
Let j(p) = -3*p**2 + 22*p - 31. Let s be j(5). Let v(f) be the second derivative of 0 + 5*f + 1/6*f**2 - 1/36*f**s + 0*f**3. Factor v(g).
-(g - 1)*(g + 1)/3
Let v(o) be the second derivative of 11*o**5/20 + o**4/2 - 11*o**3/6 - 3*o**2 + 7*o + 16. Factor v(y).
(y - 1)*(y + 1)*(11*y + 6)
Let c be 4/62 - (48195/651)/(-15). Factor 2/5*g**3 + 0*g - 4/5*g**4 + 0*g**2 + 0 + 2/5*g**c.
2*g**3*(g - 1)**2/5
Suppose 20 = 5*b + 55. Let l be 1/(7/(-2))*b. Solve -3*z**l - z + z**3 - 3*z - z**2 + z**4 = 0 for z.
-2, -1, 0, 2
Let u(k) = -18*k - 29. Let v be u(-8). Let s = v + -343/3. Factor 0*l - s*l**2 + 0.
-2*l**2/3
Let u = -3630 - -3633. Find c such that 0 + 3/2*c**4 - 3*c**u + 0*c + 0*c**2 = 0.
0, 2
Suppose 4*t + 20 = h - 11, 4*t + 12 = 0. Let s = -15 + h. Determine f so that -5*f**2 + 3*f**3 + 8*f**2 + 2*f**s - 3*f - 5*f**4 = 0.
-1, 0, 1
Let i(r) = 2*r**3 - 2*r**2 + 3*r - 3. Let t(x) = x**3 - x**2 - x - 1. Let j(s) = i(s) - 3*t(s). Solve j(n) = 0 for n.
-2, 0, 3
Let k be (-5)/(15/4) - (19 - 21). Factor -2/3*m**2 + k*m**4 + 0 + 0*m**3 + 0*m.
2*m**2*(m - 1)*(m + 1)/3
Let u = 45 + -42. Find k, given that -4*k**4 - 5*k**2 + 22*k**u - k**4 - 18*k**3 + 6*k**3 = 0.
0, 1
Let c(g) be the third derivative of -1/20*g**6 + 0*g + 1/3*g**3 + 1/8*g**4 + 0 - 11/60*g**5 + 12*g**2. Factor c(r).
-(r + 2)*(2*r - 1)*(3*r + 1)
Let r(g) be the third derivative of -g**5/390 - g**4/26 - 3*g**3/13 - 10*g**2 + 4. Factor r(x).
-2*(x + 3)**2/13
Factor -22/13 + 42/13*n - 18/13*n**2 - 2/13*n**3.
-2*(n - 1)**2*(n + 11)/13
Suppose -2*a = -4*a + 26. Suppose r - a*r - 611*r**2 - 33*r**3 + 668*r**2 - 12*r**4 = 0. Calculate r.
-4, 0, 1/4, 1
Determine z so that -87/2*z**2 + 30 - 3/2*z**5 + 39/2*z**3 - 18*z + 27/2*z**4 = 0.
-2, -1, 1, 10
Suppose -2*l - 5 = -4*s + 5, -2 = 2*l. Suppose 93*o - 93*o + 20 - 5*o**s = 0. What is o?
-2, 2
Suppose -3*w - i = 16, 2*i = -5*w - 2*i - 22. Let t be -3*(2 - (-16)/w). Determine p so that -p**4 - 19*p**2 + 0*p + 10*p**t + 7*p - 2 + 5*p**3 = 0.
1, 2
Let s = 236611/11 - 21509. Factor -4/11 + s*v**2 + 10/11*v**3 - 18/11*v.
2*(v - 1)*(v + 2)*(5*v + 1)/11
Let b = 12 + 28. Solve -20 - 8*z**3 - 48*z**2 + 17*z + 4*z**4 - 43*z + 10*z - b*z = 0.
-1, 5
Let y(r) be the first derivative of r**4/96 - r**3/48 - r**2/8 + 3*r + 10. Let n(c) be the first derivative of y(c). Find j, given that n(j) = 0.
-1, 2
Find h, given that -4/5*h - 3/5*h**3 + 2/5*h**4 + 1/5*h**5 + 0 - 8/5*h**2 = 0.
-2, -1, 0, 2
Let p(b) = b**3 + 8*b - 4. Suppose 42*s - 1 = 41*s. Let u(z) = z**2 + 0*z - 2 + 3 - z. Let n(l) = s*p(l) + 4*u(l). Determine a so that n(a) = 0.
-2, 0
Let m(v) = 11*v**2 + 6*v + 8. Let a be m(-4). Let t = a + -639/4. Suppose 3/4*b**2 + 1/4 + t*b**3 + 3/4*b = 0. What is b?
-1
Let c(i) be the second derivative of -i**6/90 + i**5/10 + 3*i**4/4 - 6*i**3 - 54*i**2 - 26*i + 3. Factor c(m).
-(m - 6)**2*(m + 3)**2/3
Let g(z) be the first derivative of -z**4/6 - 10*z**3/9 - 2*z**2 - 23. What is h in g(h) = 0?
-3, -2, 0
Let o(q) be the first derivative of q**5/4 + 5*q**4/6 + 5*q**3/6 + 3*q + 8. Let p(v) be the first derivative of o(v). Find j, given that p(j) = 0.
-1, 0
Let i(s) be the first derivative of -2*s**5/5 + 13*s**4 + 232*s**3/3 + 120*s**2 - 19. Factor i(j).
-2*j*(j - 30)*(j + 2)**2
Let n(a) be the third derivative of a**5/270 - a**4/3 + 12*a**3 + 245*a**2. Factor n(s).
2*(s - 18)**2/9
Factor -42/5 - 2/5*s**2 - 44/5*s.
-2*(s + 1)*(s + 21)/5
Determine l, given that -2*l**4 + 100*l**3 + 104*l**3 - 4*l**4 + 6*l**2 - l**5 - 203*l**3 = 0.
-6, -1, 0, 1
Let o = 1867 - 5591/3. Suppose -o*d**3 - 14/3*d**4 + 32/3*d**2 + 0 - 8/3*d = 0. What is d?
-2, 0, 2/7, 1
Let n(a) be the first derivative of -a**6/30 + 7*a**5/25 - 7*a**4/10 + 2*a**3/15 + 3*a**2/2 - 9*a/5 + 33. Let n(w) = 0. Calculate w.
-1, 1, 3
Let j be (2 + 33 + -1)/((-6)/(-81)). Let q = 1911/4 - j. Determine h, given that q*h**2 - 15/2*h + 3/4 = 0.
1/5
Let b(a) = 9*a**3 + 19*a**2 - 21*a + 9. Let u(p) = -24*p**3 - 56*p**2 + 63*p - 27. Let f(j) = 11*b(j) + 4*u(j). Suppose f(x) = 0. What is x?
1, 3
Let d(k) be the first derivative of 5*k**3/3 + 5*k**2/2 - 10*k - 170. Suppose d(r) = 0. Calculate r.
-2, 1
Let u = 101/7 - 195/14. Let g(h) be the second derivative of -1/20*h**5 - u*h**2 + 1/6*h**3 + 0 - 4*h + 1/12*h**4. Solve g(v) = 0 for v.
-1, 1
Let c be (-2 + (-37)/(-20))/(117/(-312)). Factor -6/5*u**2 + 2/5*u + 4/5 - 2/5*u**3 + c*u**4.
2*(u - 2)*(u - 1)*(u + 1)**2/5
Let a(v) be the third derivative of -v**9/15120 + v**5/10 - 9*v**2. Let g(n) be the third derivative of a(n). Solve g(o) = 0.
0
Suppose -5*h + 4*a - 16 = 0, 3*h - a + 4 = 4*h. Suppose 2*w + h*w = 0. Factor 4/7*x**3 - 2/7*x**4 - 2/7*x**2 + w*x + 0.
-2*x**2*(x - 1)**2/7
Let b(k) = -36*k**2 - 92*k + 188. Let c(s) = -4*s**2 - 10*s + 21. Let t(q) = 3*b(q) - 28*c(q). Determine a so that t(a) = 0.
-3, 2
Let z(n) be the second derivative of n**7/2016 + n**6/1440 + 5*n**4/12 - 10*n. Let r(q) be the third derivative of z(q). Factor r(m).
m*(5*m + 2)/4
Suppose 1/2 - p**2 + 1/2*p**4 - 1/2*p**3 + 1/4*p**5 + 1/4*p = 0. Calculate p.
-2, -1, 1
Let k(m) be the second derivative of m**6/15 - 2*m**5/5 + m**4/2 + 4*m**3/3 - 4*m**2 - 3*m. Solve k(t) = 0.
-1, 1, 2
Let y(p) be the second derivative of p**4/4 - 18*p**3 + 486*p**2 - 68*p. Solve y(g) = 0 for g.
18
Let r be 3/6*-2*-9. Let d be 0 + 3/(r/6). Factor 3*k**d - 4 - 3*k**3 - 10 + 6*k**2 + 2.
-3*(k - 2)**2*(k + 1)
Let b = -5623 + 5624. Factor -1/2*d**4 + 3/2*d**2 + 5/2*d - 1/2*d**3 + b.
-(d - 2)*(d + 1)**3/2
Let l(o) be the first derivative of -o**3/12 - 21*o**2/4 + 43*o/4 - 494. Determine w so that l(w) = 0.
-43, 1
Let d(p) = -p - 1. Let n(c) be the second derivative of c**5/20 + c**4/6 - 11*c**3/6 - 6*c**2 - 19*c. Let w(m) = -30*d(m) + 5*n(m). Factor w(u).
5*(u - 2)*(u + 1)*(u + 3)
Let z(n) = -5*n**2 - 186*n - 216. Let p be z(-36). Factor p + 0*x - 10/9*x**3 - 2/9*x**4 - 4/3*x**2.
-2*x**2*(x + 2)*(x + 3)/9
Suppose -5*f + 15 = 5. Determine p so that -5 - 4 - 24*p + 20*p**f + 16 - 3 = 0.
1/5, 1
Let v = 301/339 + -25/113. Factor -1/3*l**2 + 1/2 - 2/3*l**3 - 1/6*l**4 + v*l.
-(l - 1)*(l + 1)**2*(l + 3)/6
Suppose -7*x + 3 = -25. Suppose 20 = x*f - 3*f + 5*r, 0 = 3*f - 5*r + 20. Let 0 + 0*g + f*g**2 + 1/6*g**3 + 1/6*g**4 = 0. Calculate g.
-1, 0
Let t = -280 + 408. Let h be (-8)/t*4 + (-1)/(-2). Suppose -h*b**4 + 0*b + 0*b**2 + 0 + 0*b**3 = 0. What is b?
0
Let z(p) be the second derivative of 0*p**4 + 1/70*p**7 + 0*p**2 + 3/50*p**5 - 44*p + 0 - 3/50*p**6 + 0*p**3. Factor z(w).
3*w**3*(w - 2)*(w - 1)/5
Factor 128*z**2 - 19*z**4 - 9*z - 39*z - 2*z**3 - 58*z**3 - 17*z**4.
-4*z*(z + 3)*(3*z - 2)**2
Suppose 41*x - 48*x + 21 = 0. Factor 189*n**x + 40*n**2 - n**2 + 3*n + 10*n**2 - 4*n**2 + 147*n**4.
3*n*(n + 1)*(7*n + 1)**2
Let o be 6*(8/1 - 528/72). Let n(b) be the first derivative of 5 + 3/5*b**2 + 0*b - 2/3*b