674/7. Let u(r) be the first derivative of 2/7*r**3 + 0*r - c*r**2 + 1. Find d such that u(d) = 0.
0, 2/3
Let t(a) be the first derivative of -3*a**5/10 + 3*a**4/8 - 4. Suppose t(d) = 0. Calculate d.
0, 1
Let s be (0/((-45)/9))/1. Determine d so that -1/3*d**4 + s*d + 4/3*d**3 + 0 - 4/3*d**2 = 0.
0, 2
Let y(q) be the third derivative of -q**5/330 + q**3/33 + 9*q**2. Factor y(t).
-2*(t - 1)*(t + 1)/11
Let s(i) = 8*i**3 + 9*i**2 + 17*i + 17. Let k(q) = 12 + 3*q**2 - 6 + 6*q + 0*q**2 + 3*q**3. Let o(g) = -17*k(g) + 6*s(g). Factor o(y).
-3*y**2*(y - 1)
Suppose 4*v = -v + 15. Let u(x) be the first derivative of -1/2*x**6 - 6/5*x**5 + 4*x**v - 4 - 6*x**2 + 0*x + 9/4*x**4. Solve u(w) = 0.
-2, 0, 1
Determine h, given that -5 + 3*h**2 + 3 + 0 - 1 = 0.
-1, 1
Let v(z) be the second derivative of z**7/420 - z**5/120 - z**2 - 2*z. Let s(y) be the first derivative of v(y). Factor s(j).
j**2*(j - 1)*(j + 1)/2
Let j(k) be the second derivative of -1/8*k**2 - 1/48*k**4 + 0 + k - 1/12*k**3. Factor j(y).
-(y + 1)**2/4
Let -2/11*n + 0 + 4/11*n**2 - 2/11*n**3 = 0. Calculate n.
0, 1
Factor 4*p**2 + 2/3*p**3 + 0 + 6*p.
2*p*(p + 3)**2/3
Suppose -115*s**3 + 117*s**3 + 0*s**2 - 2*s**2 = 0. Calculate s.
0, 1
Let p(a) be the second derivative of -5*a**4/28 - 9*a**3/7 + 12*a**2/7 + 6*a. Factor p(d).
-3*(d + 4)*(5*d - 2)/7
Let y be (-1*4/30)/((-18)/30). Find f such that -y*f**2 - 2/9 + 4/9*f = 0.
1
Let u(z) be the first derivative of -z**4/6 - 2*z**3/9 + 4*z**2/3 + 8*z/3 + 19. Solve u(q) = 0 for q.
-2, -1, 2
Let o be (2/3)/(4/18). Find l, given that 7*l**3 + 0*l**o + 17*l**4 + 7*l**4 + l**3 - 14*l**5 = 0.
-2/7, 0, 2
Let b(w) = -5*w - 1. Let k be b(1). Let p = -5 - k. Factor -3/2*g + 5/2*g**2 - p.
(g - 1)*(5*g + 2)/2
Suppose 1/2*g**3 - 1/4*g**2 + 0*g - 1/4*g**4 + 0 = 0. What is g?
0, 1
Suppose -3*y + 25 = 2*y. Let x = -3 + 8. Let -j**3 + 0*j**3 + 4*j**3 - y*j**3 + 2*j**x = 0. What is j?
-1, 0, 1
Let z = 233/4 - 58. Determine p so that -3/4*p + 3/4*p**2 - z*p**3 + 1/4 = 0.
1
Let x(m) = 65*m**2 + 65*m - 95. Let b(l) = -11*l**2 - 11*l + 16. Let q(d) = 35*b(d) + 6*x(d). Factor q(h).
5*(h - 1)*(h + 2)
Let n(o) be the first derivative of 3*o**5/5 - 3*o**4/4 + 9. Factor n(p).
3*p**3*(p - 1)
Let u = -38 + 20. Let d be -1 + -2 + (-60)/u. Factor d*o - 10/3*o**2 + 25/3*o**3 + 0.
o*(5*o - 1)**2/3
Let o(h) be the first derivative of -h**5/10 - 3*h**4/8 - h**3/3 + 23. Factor o(k).
-k**2*(k + 1)*(k + 2)/2
Let c(a) be the second derivative of a**5/70 - a**3/7 + 2*a**2/7 - 4*a. Let c(b) = 0. Calculate b.
-2, 1
Let j = 13/5 - 34/15. Find l, given that -2/3*l**2 + 0 + j*l + 1/3*l**3 = 0.
0, 1
Let n = -42 + 44. Factor -6*a**n + 0 - 4/3*a - 14/3*a**3.
-2*a*(a + 1)*(7*a + 2)/3
Let t(i) = 3*i**3 + 17*i**2 - 5*i. Let s(z) = 12*z**3 + 69*z**2 - 21*z. Let a(o) = 5*s(o) - 21*t(o). Suppose a(r) = 0. What is r?
-4, 0
Let u(y) be the third derivative of y**7/1260 + y**6/180 + y**5/60 + y**4/12 + y**2. Let r(k) be the second derivative of u(k). Suppose r(d) = 0. What is d?
-1
Factor 3 - 34*g**3 + 0*g**4 - 7*g**4 - 9*g + 40*g**3 - 2*g**4 + 3*g**5 + 6*g**2.
3*(g - 1)**4*(g + 1)
Factor 16 + 4*l**3 + 0*l**3 + 0*l**3 + 32*l - 2*l**2 + 22*l**2.
4*(l + 1)*(l + 2)**2
Let x be ((-66)/(-14))/3 + 44/(-154). What is l in -3/7*l**2 - x*l + 0 = 0?
-3, 0
Factor 0 - 10/9*j**2 + 2/9*j.
-2*j*(5*j - 1)/9
Let t(o) be the second derivative of o**7/126 + o**6/90 - o**5/20 - o**4/36 + o**3/9 + o. What is m in t(m) = 0?
-2, -1, 0, 1
Let r = 53 - 36. Determine s, given that r*s + 4*s**2 + 0 - 14*s - 1 = 0.
-1, 1/4
Suppose 0 = -n + 38. Suppose 5*d = n - 13. Determine s so that -3 + 0 + d + 4*s + s**2 + 2 = 0.
-2
Let f(r) be the second derivative of -5*r**4/36 - r**3/9 - 21*r. Factor f(h).
-h*(5*h + 2)/3
Let l(i) be the third derivative of -i**5/180 - i**4/18 - 2*i**3/9 + i**2 + 34*i. What is k in l(k) = 0?
-2
Suppose 0 = 4*r + 3*p - 7*p, -4*p = r. Let m(n) be the third derivative of 1/6*n**3 + r + n**2 - 1/12*n**4 + 1/60*n**5 + 0*n. Factor m(i).
(i - 1)**2
Suppose 0 = -4*p - 2 + 10. Solve 5 + 8*v**3 - v - 3*v**3 - 5 - 3*v**4 - v**p = 0 for v.
-1/3, 0, 1
Let f(p) be the second derivative of 2*p + 0*p**2 - 1/360*p**6 + 1/3*p**3 + 0 + 1/60*p**5 - 1/24*p**4. Let h(l) be the second derivative of f(l). Factor h(r).
-(r - 1)**2
Suppose 4 - 3*c**2 - 4*c - 3*c**2 - c**2 + 3*c**2 + 4*c**3 = 0. What is c?
-1, 1
Let m be 5/(-15)*15 + 7. Let 4/13 + 6/13*i + 2/13*i**m = 0. Calculate i.
-2, -1
Suppose 3*d = 12 + 33. Find k such that -3*k + d*k**2 - k - 2*k = 0.
0, 2/5
Let g(b) be the second derivative of -b**6/40 + 21*b**5/40 - 49*b**4/16 + b. What is c in g(c) = 0?
0, 7
Let l(t) = -t**3 + t**2 + t - 7. Let r(s) = 4*s**3 - 6*s**2 - 4*s + 34. Let c(h) = 28*l(h) + 6*r(h). Factor c(g).
-4*(g - 1)*(g + 1)*(g + 2)
Factor -6/13*b**3 + 0 + 8/13*b + 0*b**2 + 2/13*b**4.
2*b*(b - 2)**2*(b + 1)/13
Find a such that -4*a**2 - 4*a**2 + 20*a - 5*a**2 + 11*a**2 - 50 = 0.
5
Let z be 14/189*2/8. Let q(i) be the second derivative of 0 + 2*i + 0*i**3 + 0*i**2 + z*i**4. Find x, given that q(x) = 0.
0
Let k(j) be the second derivative of 3*j**6/140 - j**5/35 + j**4/84 + 5*j**2/2 + 5*j. Let t(c) be the first derivative of k(c). Factor t(i).
2*i*(3*i - 1)**2/7
Let g be 1/(14/4) + 130/1456. Let r(x) be the third derivative of -4*x**2 + 0*x + 0 + 1/20*x**5 - g*x**4 + x**3. Factor r(u).
3*(u - 2)*(u - 1)
Let k be ((-1)/3)/(5 + 80/(-12)). Factor -6/5*c**3 - k*c**5 + 0 - 4/5*c**2 - 4/5*c**4 - 1/5*c.
-c*(c + 1)**4/5
Let i(k) be the third derivative of -k**7/840 - k**6/96 - k**5/40 + k**4/24 + k**3/3 - 21*k**2. Factor i(r).
-(r - 1)*(r + 2)**3/4
Let g(a) be the first derivative of 2*a**3/3 + 4*a**2 - 10*a + 8. What is h in g(h) = 0?
-5, 1
Let u be 2/(-36)*(-4 - 0). Let h be (2/(-10) - 66/(-55)) + 2. Factor 2/9*f**4 - 8/9*f + 4/3*f**2 + u - 8/9*f**h.
2*(f - 1)**4/9
Suppose 0 = -11*o + 12*o + b - 1, -3*o - b = -3. Let w(i) be the first derivative of -o - 1/3*i**3 - 7/6*i**2 - 2/3*i. Factor w(g).
-(g + 2)*(3*g + 1)/3
Let z(x) be the second derivative of -x**6/6 + 3*x**5/4 - 5*x**4/4 + 5*x**3/6 + 9*x. Determine d so that z(d) = 0.
0, 1
Let k(v) be the second derivative of 1/60*v**5 + 0 + 0*v**4 + 0*v**2 - 1/18*v**3 - 2*v. Suppose k(y) = 0. Calculate y.
-1, 0, 1
Let b(r) be the first derivative of -r**5/30 - 3*r + 3. Let h(p) be the first derivative of b(p). Factor h(l).
-2*l**3/3
Let g(o) be the first derivative of 0*o**2 + 0*o - 3 + 1/4*o**4 + 0*o**3 - 2/5*o**5 + 1/6*o**6. Factor g(x).
x**3*(x - 1)**2
Factor -2*g**3 + 2*g - g**3 + 3 - 2*g**2 - 1 + g**3.
-2*(g - 1)*(g + 1)**2
Let q(f) be the second derivative of f**7/168 - f**6/120 - f**5/16 + f**4/48 + f**3/3 + f**2/2 + 2*f. Factor q(t).
(t - 2)**2*(t + 1)**3/4
Let h(p) be the first derivative of 2*p**3/33 - 10*p**2/11 + 18*p/11 - 13. Factor h(k).
2*(k - 9)*(k - 1)/11
Factor -14 + 2*v**2 + 14 + 2*v**3.
2*v**2*(v + 1)
Let j(z) be the third derivative of z**6/240 - z**5/20 + 5*z**4/48 - 19*z**2. Factor j(x).
x*(x - 5)*(x - 1)/2
Let l = 75 + -54. Let -l*g**4 + 30*g**2 + 2*g + 30*g**5 + 103*g**4 + 0*g**3 + 78*g**3 + 2*g = 0. Calculate g.
-1, -2/5, -1/3, 0
Let c(t) = 5*t**2 + 21*t + 16. Let w(h) = -h**2 - 4*h - 3. Let m = 2 + 0. Let p be 3/(4/(-4)) - -14. Let f(a) = m*c(a) + p*w(a). Solve f(d) = 0 for d.
-1
Let y be 3/(66/(-4)) - (-24)/11. Factor -a**3 + a + 2/3 - 2/3*a**y.
-(a - 1)*(a + 1)*(3*a + 2)/3
Let d(r) be the third derivative of r**5/150 + 3*r**4/10 + 27*r**3/5 - 47*r**2. Factor d(o).
2*(o + 9)**2/5
Let t(k) be the second derivative of -k**7/280 + k**5/40 + k**3/3 - 2*k. Let j(l) be the second derivative of t(l). Suppose j(s) = 0. Calculate s.
-1, 0, 1
Factor 0 - r**2 - 1/3*r**4 + 1/3*r + r**3.
-r*(r - 1)**3/3
Let p(d) be the first derivative of -d**5/5 + d**4/4 + 11. What is h in p(h) = 0?
0, 1
Factor -17*g**2 + g**4 + 18*g**2 - 2*g**4.
-g**2*(g - 1)*(g + 1)
Let h(a) be the second derivative of -a**5/2 + 5*a**4/12 + 5*a**3/6 + 37*a. Factor h(c).
-5*c*(c - 1)*(2*c + 1)
What is x in 0 - 3/8*x**3 - 9/8*x**2 - 3/4*x = 0?
-2, -1, 0
Let q(i) be the second derivative of 3*i**5/40 - i**4/8 - 5*i**3/4 - 9*i**2/4 + 8*i. Let q(r) = 0. What is r?
-1, 3
Let p(a) be the first derivative of 2*a**3/3 + 16*a**2/9 - 8*a/9 + 50. Factor p(w).
2*(w + 2)*(9*w - 2)/9
Let r be -5 + 52/5 + -5. Factor 1/5*n**3 + 4/5*n**2 + r + n.
(n + 1)**2*(n