second derivative of 0*c**3 - 1/5*c**6 - c**2 + 1/5*c**5 + 11*c + 2/3*c**4 - 2/21*c**7 + 0. Determine u so that k(u) = 0.
-1, 1/2, 1
Let -14*w**4 + 128*w - 20 + 49*w**2 - 32*w**3 - 1 - w**2 + 53 = 0. Calculate w.
-2, -2/7, 2
Let l = 973/24 - 943/24. Determine h so that 0 - 5/2*h**4 + l*h + 5/2*h**2 - 5/4*h**5 + 0*h**3 = 0.
-1, 0, 1
Let o(r) be the first derivative of -1/180*r**6 + 0*r**3 + 5 + 1/36*r**4 + 0*r + 0*r**5 - 1/2*r**2. Let g(d) be the second derivative of o(d). Factor g(z).
-2*z*(z - 1)*(z + 1)/3
Let h be ((-12)/18)/((-2)/9). Suppose 2*s = -2*c + 8, 3*c = -0*c + h*s. Find v, given that -3*v**5 + 0*v**3 - v + 0*v + 2*v**3 + c*v**5 = 0.
-1, 0, 1
Let n = 10 - -3. Let l be 348/234 - 2/n. Factor 0*r + 4/3 - l*r**2.
-4*(r - 1)*(r + 1)/3
Let o(m) be the second derivative of 2*m**7/21 - 44*m**6/15 + 157*m**5/5 - 132*m**4 + 216*m**3 - 2*m - 418. Determine a so that o(a) = 0.
0, 2, 9
Suppose -t + 4 + 11 = 0. Factor -15*q**3 - t*q + 3 + 3*q**3 + 11*q**2 + 13*q**2.
-3*(q - 1)*(2*q - 1)**2
Let g(u) be the third derivative of 1/120*u**4 + 0*u + 0*u**3 + 4*u**2 + 1/100*u**5 + 0. Suppose g(i) = 0. What is i?
-1/3, 0
Let i(w) be the third derivative of w**5/30 + 22*w**4/3 + 1936*w**3/3 + 5*w**2 + 12*w. Factor i(s).
2*(s + 44)**2
Let f = -42 + 46. Determine g, given that -6*g**3 + 14*g**3 - 3*g**3 - 5*g**f + 0*g**4 = 0.
0, 1
Let u(k) be the first derivative of -3*k**4/32 + 73*k**3/8 + 111*k**2/8 + 901. Find g such that u(g) = 0.
-1, 0, 74
Factor -69*a**4 + 66*a**4 - 3*a**3 - 33*a**3 + 212*a + 88*a - 90*a**2 + 1125.
-3*(a - 3)*(a + 5)**3
Let x(h) be the first derivative of h**4/8 + 3*h**3/4 + 3*h**2/2 + h + 1. Factor x(n).
(n + 2)**2*(2*n + 1)/4
Let d(a) be the first derivative of -8/3*a**3 - 1/2*a**4 + 0*a - 4*a**2 - 42. Solve d(j) = 0.
-2, 0
Let q(u) be the second derivative of -u**4/12 - 4*u**3/3 - 7*u**2/2 + 18*u + 2. Factor q(h).
-(h + 1)*(h + 7)
Let t = 550 + -547. Determine g, given that 0 + 0*g + 2/5*g**5 + 16/5*g**t + 2*g**4 + 8/5*g**2 = 0.
-2, -1, 0
Let t(d) be the first derivative of -1/9*d**3 + 2/3*d**2 + 5/3*d + 11. Suppose t(c) = 0. Calculate c.
-1, 5
Let j be (-6 - -1) + -2*(-14)/4. Let -6/5*p + 3/5*p**3 - 9/5*p**4 + 0 + 9/5*p**j + 3/5*p**5 = 0. Calculate p.
-1, 0, 1, 2
Factor -1/2*c**2 + 4 - c.
-(c - 2)*(c + 4)/2
Let u be (10/(-25) + 0)*-1. Let w(q) be the first derivative of 5*q**4 - 24*q**3 - 54*q - 4 + 54*q**2 - u*q**5. What is z in w(z) = 0?
1, 3
Let d be (-3)/((-72)/(-189)*-7). Factor -1/4 - 5/8*h**3 - 1/8*h**4 - 7/8*h - d*h**2.
-(h + 1)**3*(h + 2)/8
Let j(y) be the first derivative of y**5/80 + y**4/24 + y**3/24 - 6*y - 11. Let q(h) be the first derivative of j(h). Determine a, given that q(a) = 0.
-1, 0
Let y(j) be the second derivative of -3/10*j**3 - 3/100*j**5 + 3/20*j**4 + 0 + 3/10*j**2 + 8*j. Determine n, given that y(n) = 0.
1
Let u = -7262 + 65359/9. Determine t, given that u*t**4 - 2/9*t + 2/9*t**3 - 1/9 + 0*t**2 = 0.
-1, 1
Let h(b) be the third derivative of b**6/600 - 3*b**3 - 9*b**2. Let p(j) be the first derivative of h(j). Let p(a) = 0. Calculate a.
0
Let g(h) be the second derivative of 2*h**7/21 - 2*h**6/15 - 3*h**5/5 + h**4/3 + 4*h**3/3 - 55*h. Factor g(n).
4*n*(n - 2)*(n - 1)*(n + 1)**2
Suppose -t = -4*t - 2*d + 19, -5 = -d. Suppose 0 = -t*a - 3*w, -5*a = -3*w + 2*w. Factor 0*r + 4/3*r**2 + a + 2/3*r**3.
2*r**2*(r + 2)/3
Factor -2 + 8/5*j + 2/5*j**2.
2*(j - 1)*(j + 5)/5
Let x(k) be the second derivative of k**5/60 + 5*k**4/4 - 31*k**3/6 + 47*k**2/6 - 2*k + 121. Solve x(a) = 0 for a.
-47, 1
Let s(r) be the third derivative of 0*r - 1/150*r**5 + 0*r**3 + 1/120*r**6 + 1/1680*r**8 + 0 + 0*r**4 + 3*r**2 - 2/525*r**7. Suppose s(g) = 0. What is g?
0, 1, 2
Let k(l) be the first derivative of 3 - 1/42*l**4 + 0*l**3 + 0*l + 1/42*l**5 + l**2. Let t(y) be the second derivative of k(y). Determine m so that t(m) = 0.
0, 2/5
Let v(l) be the second derivative of 1/231*l**7 + 0*l**4 + 0*l**3 + 0*l**2 + 0*l**6 + 0 - 1/110*l**5 - 10*l. Find h, given that v(h) = 0.
-1, 0, 1
What is u in -56/23*u**2 + 136/23*u + 32/23 - 94/23*u**3 - 18/23*u**4 = 0?
-4, -2, -2/9, 1
Let g be 2 + 0 + 2*-7. Let l = 12 + g. Solve s**4 - 4*s**3 + s + 5*s**2 + l*s**4 - 3*s + 0*s = 0.
0, 1, 2
Let r = -6 + 8. Solve 4*m**r + 8 - 6*m + 0*m**2 - 6 = 0.
1/2, 1
Let x be 1*-1*(39 - 36). Let d be 4/12 - (0 - 1/x). Solve 0 - 2/3*v**4 + 0*v**2 + 8/3*v**3 + d*v = 0 for v.
0, 4
Factor 21*d**2 + 180*d - 49/4*d**3 - 400.
-(d + 4)*(7*d - 20)**2/4
Let c(b) be the third derivative of -7*b**5/60 - 145*b**4/4 - 124*b**3/3 - 114*b**2. Factor c(r).
-(r + 124)*(7*r + 2)
Suppose -k = 2*n + 3*n - 17, 4*k = 4*n - 4. Solve -2*z**k + 24*z**3 - 8*z**2 - 19*z**3 = 0.
0, 2
Let d be (-1)/((-2)/(-12))*16/(-32). Suppose -1/3*s**2 + 2/3*s - 2/3*s**d + 1/3*s**4 + 0 = 0. What is s?
-1, 0, 1, 2
Suppose -977*g = -976*g - 4. Let d(q) be the third derivative of 1/90*q**6 + 0 - 1/630*q**7 + 0*q**g + 0*q**3 + 2*q**2 - 1/45*q**5 + 0*q. Factor d(b).
-b**2*(b - 2)**2/3
Let g(h) = -h**3 + 6*h**2 - h - 20. Let b be g(5). Let v(r) be the third derivative of 1/3*r**3 + 0*r + 2*r**2 + b - 3/8*r**4 - 13/30*r**5. Factor v(i).
-(2*i + 1)*(13*i - 2)
Let u be (-10)/55 + 46/11. Let z(a) = 2*a**2 + 5*a + 2. Let o(c) = -c**2 - c + 1. Let v(g) = u*o(g) + 4*z(g). Determine q, given that v(q) = 0.
-3, -1
Let a be (-510)/2640 + 6/16. Factor 0 + a*p**2 + 2/11*p**4 - 4/11*p**3 + 0*p.
2*p**2*(p - 1)**2/11
Let r be (6*6/18)/((-27)/(-18)). Factor 2/9*v**2 + 2 + r*v.
2*(v + 3)**2/9
Determine k, given that 0 - 1/4*k**2 - 1/4*k**4 + 1/2*k**3 + 0*k = 0.
0, 1
Let m(s) = s**2 - s + 1. Let f(j) be the third derivative of 7*j**5/60 - 2*j**4/3 + 8*j**3/3 - 6*j**2. Let z(i) = f(i) - 4*m(i). Factor z(q).
3*(q - 2)**2
Let r(n) be the first derivative of n**4/4 + 4*n**3 + 11*n**2/2 + 575. Suppose r(c) = 0. Calculate c.
-11, -1, 0
Let q = -3498 + 3498. Let v = 861/5 - 171. Find y, given that v*y**3 + q - 2/5*y**4 + 2/5*y - 6/5*y**2 = 0.
0, 1
Let g(f) = -f**3 + 7*f**2 - 6*f - 1. Let z be g(6). Let r be 3*z/1 - -10. Find t, given that -25*t**2 - 3*t**3 + 4*t**2 - 3*t**3 + 14*t**4 + r*t**4 + 6*t = 0.
-1, 0, 2/7, 1
Let r(v) = v**3 - 2*v**2 - 6*v + 4. Let w be r(4). Let o be (-15)/w*((-14)/10 - -1). Factor -1/4*n**3 - o*n + 3/4*n**2 + 0.
-n*(n - 2)*(n - 1)/4
Let q be (-159)/954 + 1/2. Factor s**2 - 1/3*s + q*s**3 - 2/3 - 1/3*s**4.
-(s - 2)*(s - 1)*(s + 1)**2/3
Let k(l) = -3*l**2 - l + 72. Let a(f) = 10*f**2 + 3*f - 216. Let j(u) = -2*a(u) - 7*k(u). Let r be j(-9). Factor -1/4*n**4 + 1/4*n**2 + r + 1/4*n**3 - 1/4*n.
-n*(n - 1)**2*(n + 1)/4
Let y(q) = -3*q - 1. Let v be y(-1). Find k such that 0*k - 12*k**2 + 18*k**v + k - 6*k**4 - 3*k**5 + 2*k = 0.
-1, 0, 1
Let n(i) be the second derivative of -i**8/840 - 2*i**7/525 - i**6/300 + 43*i**2/2 + 14*i. Let c(q) be the first derivative of n(q). Factor c(h).
-2*h**3*(h + 1)**2/5
Let n(t) = -2*t**5 - 49*t**4 + 118*t**3 - 53*t**2 - 14. Let r(o) = -o**4 - o**2 + 2. Let s(i) = -2*n(i) - 14*r(i). Solve s(x) = 0 for x.
-30, 0, 1
Factor 1250/11 + 2/11*d**2 - 100/11*d.
2*(d - 25)**2/11
Let b(n) be the second derivative of -5*n**7/42 + 17*n**6/6 - 47*n**5/2 + 475*n**4/6 - 805*n**3/6 + 245*n**2/2 - 89*n. Solve b(s) = 0 for s.
1, 7
Let v(u) be the second derivative of -u**5/60 - u**4/2 - 5*u**3/6 + 17*u**2/3 + 184*u. Factor v(j).
-(j - 1)*(j + 2)*(j + 17)/3
Let i(k) be the third derivative of -k**6/60 - 13*k**5/10 - 55*k**4/6 - 24*k**3 - 2*k**2 + 5. Factor i(v).
-2*(v + 1)*(v + 2)*(v + 36)
Let t(i) be the first derivative of i**7/840 - i**6/360 - 2*i**3 + 5. Let u(k) be the third derivative of t(k). What is p in u(p) = 0?
0, 1
Let f(o) = 2*o**3 - 56*o**2 - 380*o + 1024. Let d(a) = -a**3 - a**2 - a. Let c(v) = -4*d(v) - f(v). Factor c(b).
2*(b - 2)*(b + 16)**2
Let x(r) = 2*r - 1. Let a be x(-1). Let h(m) = -2*m**2 - 13*m + 61. Let j(p) = p**2 + 14*p - 62. Let y(u) = a*j(u) - 2*h(u). Factor y(f).
(f - 8)**2
Let w = 1475 + -19157/13. Factor -16/13 - 56/13*d - w*d**3 + 68/13*d**2.
-2*(d - 2)**2*(9*d + 2)/13
Let w(u) be the first derivative of -3*u**4/8 - 9*u**3/2 - 18*u**2 - 30*u - 86. Solve w(h) = 0.
-5, -2
Factor 4*a**2 + 3*a - 118*a**2 - 9*a + 9*a.
-3*a*(38*a - 1)
Let q be 17/((-136)/240)*(-7)/42. Suppose -6/17*n**4 + 0*n + 0 - 2/17*n**q - 4/17*n**3 + 0*n**2 = 0. Calculate n.
-2, -1, 0
Let o be (0 + 4/(-2))