he first derivative of -5/14*v**2 + 2/7*v - 9/28*v**4 + k - 16/21*v**3. Factor j(n).
-(n + 1)**2*(9*n - 2)/7
Determine d so that 4/13*d**3 - 18/13*d**4 + 0 + 0*d**2 + 0*d + 14/13*d**5 = 0.
0, 2/7, 1
Let l(n) = -4*n**5 + 6*n**3 - 18*n**2 + 8*n - 2. Let r(o) = o**5 + 2*o**4 + o**2 + 1. Let t(s) = -l(s) - 2*r(s). Let t(z) = 0. What is z?
-2, 0, 1, 2
Let i be (-9430)/(-779) - 3/57*2. Let c be (5 + -4)/((-2)/(-10)). Factor i*b**3 - 92/5*b**2 - 18/5*b**4 + 2/5*b**c + 66/5*b - 18/5.
2*(b - 3)**2*(b - 1)**3/5
Suppose 4*h - 34 = y + 2*y, -60 = 4*y + 2*h. Let s = y + 16. Factor 6*b**5 - 5*b**4 - 10*b**2 + b**5 - 2*b**3 + 10*b**s.
b**3*(b - 1)*(7*b + 2)
Let a(o) = o**2 - 7*o - 11. Let r be a(6). Let x = 19 + r. Find y such that 4*y**4 + 4*y**3 - y**3 - x*y + y**3 - 4*y**2 - 2*y = 0.
-1, 0, 1
Suppose -5*s - 4 = -7*s. Let b(x) be the first derivative of 2/5*x**3 - 2/5*x + 1/5*x**4 + s + 0*x**2. Solve b(p) = 0.
-1, 1/2
Let h = 1/253 - -14163/1265. Factor -h*n - 12/5 - 11*n**2 + 5*n**3.
(n - 3)*(5*n + 2)**2/5
Let k(y) = 1. Let m(s) = 3*s + 37. Let l(u) = -5*k(u) - m(u). Let o be l(-14). Factor o*z + 0*z**2 + 0 + 1/6*z**3.
z**3/6
Let c be ((-30)/(-5)*-2)/(-7 + -7). What is g in 3/7*g**5 + 3/7*g**2 - 3/7*g**4 - 9/7*g**3 + 0 + c*g = 0?
-1, 0, 1, 2
Let f(j) = -15*j**3 + 65*j**2 - 77*j + 20. Let r(a) = 617 + 45*a**3 - 43*a**2 + 232*a - 152*a**2 - 677. Let s(b) = -8*f(b) - 3*r(b). Factor s(m).
-5*(m - 2)**2*(3*m - 1)
Let a be ((-161)/(-35) + -5)/(2/(-3)). Let i(r) be the second derivative of -a*r**5 + 0 - 8/9*r**3 - 7/6*r**4 + 4*r - 1/3*r**2. Factor i(l).
-2*(2*l + 1)*(3*l + 1)**2/3
Let g(h) be the second derivative of -h**7/2240 + h**6/960 + h**5/80 - h**4/16 + 19*h**3/6 + 23*h. Let k(v) be the second derivative of g(v). Factor k(d).
-3*(d - 2)*(d - 1)*(d + 2)/8
Let u(f) be the third derivative of -f**5/12 - 5*f**4/4 - 20*f**3/3 - 51*f**2. Find q such that u(q) = 0.
-4, -2
Let m be (70/72 + -1)/((-32)/24). Let s(r) be the second derivative of -2*r + 0 + 0*r**2 + 1/80*r**5 - 1/12*r**3 - m*r**4. Factor s(p).
p*(p - 2)*(p + 1)/4
Let r be (-1)/(-4) + (527/(-68))/(-31). Determine i so that -i + 3/2*i**2 - r = 0.
-1/3, 1
Let r(q) be the second derivative of -q**6/90 + 7*q**5/60 + q**4/2 + 9*q + 6. Find x such that r(x) = 0.
-2, 0, 9
Let l(i) = 5*i**3 + 2*i**2 + 11*i - 10. Let p(s) = -4*s**3 - 11*s + 9. Let q be 1 + 0 + (-48)/12. Let m(g) = q*l(g) - 4*p(g). Find c, given that m(c) = 0.
1, 2, 3
Factor -93*f**3 + 1904*f**2 + f**4 + 4624 + 49*f**3 + 2449*f**2 - 40*f**3 - 50*f**3 + 9112*f.
(f - 68)**2*(f + 1)**2
Let y(o) = o - 62. Let a be y(65). Let c(q) be the first derivative of 1/9*q**a - 1/6*q**2 - 1/15*q**5 - 5 + 0*q + 1/12*q**4. Suppose c(m) = 0. What is m?
-1, 0, 1
Let a be 2*(5 + 7/(-2)). Factor -76*d**a - 12 - 45*d**3 - 279*d**2 - 112*d + 40*d**3.
-(d + 3)*(9*d + 2)**2
Let g = 4 - 2. Suppose 2*j - 58 = -g*f, 23 = j - f - 4*f. Determine v, given that 28*v**2 - 3*v + 3*v**3 - j*v**2 = 0.
-1, 0, 1
Let 0 + 2/3*u**4 - 2/3*u**2 - 10/3*u**3 + 10/3*u = 0. Calculate u.
-1, 0, 1, 5
Let d(o) be the third derivative of -o**9/60480 - 13*o**5/60 + 27*o**2. Let h(c) be the third derivative of d(c). Factor h(g).
-g**3
Let g(c) be the third derivative of -c**7/1400 - c**6/120 - c**5/25 - c**4/10 - 2*c**3/3 + 12*c**2. Let q(l) be the first derivative of g(l). Factor q(b).
-3*(b + 1)*(b + 2)**2/5
Let g(r) = 2*r**2 + r - 1. Let m be g(1). Let k be (85/25 + -3)/(1/5). Let -f**5 + f**m - f**4 - 3*f**4 + 0*f**k + f**3 + 3*f**4 = 0. What is f?
-1, 0, 1
Let k(x) be the first derivative of 72/7*x + 9 + 6*x**2 + 32/21*x**3 + 1/7*x**4. Let k(b) = 0. What is b?
-3, -2
Let w be (-1 + 10/15)*(-174)/(-7). Let h = -8 - w. Factor 4/7 + 10/7*a + h*a**3 + 8/7*a**2.
2*(a + 1)**2*(a + 2)/7
Let t(u) be the first derivative of 5*u**3/3 + 5*u**2 - 15*u - 129. Factor t(v).
5*(v - 1)*(v + 3)
Find r, given that -50 + 24 + 148*r + 24*r**5 - 172*r**4 + 388*r**3 - 372*r**2 + 10 = 0.
1/6, 1, 4
Let p(m) be the first derivative of 5*m**3/3 - 230*m**2 + 10580*m + 263. What is w in p(w) = 0?
46
Let t = 73/429 + 5/429. Factor -t*d**2 - 4/11*d + 0.
-2*d*(d + 2)/11
Let p(t) be the second derivative of -t**6/630 + t**5/210 + t**4/21 - 7*t**3/3 - 17*t. Let j(l) be the second derivative of p(l). Let j(x) = 0. Calculate x.
-1, 2
Let w = -1095/16 + 1099/16. Solve 0 + w*j**2 + 1/4*j = 0 for j.
-1, 0
Let v(g) = -29*g**4 + 10*g**3 + 23*g**2 - 15*g - 4. Let j(m) = -15*m**4 + 5*m**3 + 11*m**2 - 8*m - 2. Let h(z) = -5*j(z) + 3*v(z). Solve h(b) = 0.
-1, -1/4, 2/3, 1
Let t(z) be the third derivative of -z**10/30240 + z**8/3360 - z**6/720 - 3*z**4/8 - 13*z**2. Let y(q) be the second derivative of t(q). Factor y(n).
-n*(n - 1)**2*(n + 1)**2
Let x(t) = 35*t**2 - 215*t + 33. Let v be x(6). Determine o so that -24/7*o - 54/7*o**v - 3/7*o**5 + 60/7*o**2 + 3*o**4 + 0 = 0.
0, 1, 2
Suppose -g - 21 = -29. Determine s, given that -g*s**3 - 31*s**2 - 30 + 13*s**3 + 72*s + s**2 - 17*s = 0.
1, 2, 3
Let p = 36367 - 181811/5. What is d in p - 132/5*d - 48/5*d**4 + 21/5*d**5 - 51/5*d**3 + 186/5*d**2 = 0?
-2, 2/7, 1, 2
Factor 128/7*n + 2/7*n**2 - 130/7.
2*(n - 1)*(n + 65)/7
Let y(s) be the third derivative of -s**6/72 + s**5/6 - 5*s**4/6 + 14*s**3/3 - 16*s**2. Let k(a) be the first derivative of y(a). Factor k(u).
-5*(u - 2)**2
Let b(d) = -d**3 + 16*d**2 - 16*d + 20. Let a be b(15). Let m be (4/(-42))/((15/(-9))/a). Find s, given that -1/7*s**3 + 0 - 1/7*s + m*s**2 = 0.
0, 1
Let c be 7/(-28) - 1353/12. Let t = c - -453/4. Factor 0 - t*k**2 + 0*k.
-k**2/4
Let i(t) = -15*t**3 - 11*t**4 - 44*t**2 + t**4 + 59*t**2 + 5*t. Let l(j) = -5*j**4 - 8*j**3 + 8*j**2 + 2*j. Let a(y) = 3*i(y) - 5*l(y). Factor a(u).
-5*u*(u - 1)*(u + 1)**2
Suppose 2 = 4*t + 2*m, -2*m + 0*m = 3*t. Let i(a) be the third derivative of 0*a**3 - 1/120*a**6 - 4*a**t - 1/30*a**5 + 0*a - 1/24*a**4 + 0. Factor i(v).
-v*(v + 1)**2
Let d = -11/94 - -179/1128. Let h(n) be the first derivative of -d*n**4 + 1 - 1/9*n**3 + 1/4*n**2 + 0*n. Suppose h(u) = 0. Calculate u.
-3, 0, 1
Let c be (-23)/(-7) - 2/7. Let q be (-2)/(-17) + (-5122)/(-1547). Solve q - 12/7*g**4 + 6*g**2 - 60/7*g + 3/7*g**c + 3/7*g**5 = 0 for g.
-2, 1, 2
Factor 22*v**2 + 42*v + 19*v**2 - 63*v**2 + 120 + 4*v + 24*v**2.
2*(v + 3)*(v + 20)
Let y(q) be the first derivative of -q**4/22 - 14*q**3/11 - 120*q**2/11 - 416*q/11 + 299. Suppose y(j) = 0. Calculate j.
-13, -4
Let a(l) be the first derivative of -9/35*l**5 + 0*l**4 + 0*l**3 + 0*l + 1/14*l**6 + 15 + 0*l**2. Factor a(z).
3*z**4*(z - 3)/7
Let j be (-142)/(-46) + 4/(-46). Let n(r) be the third derivative of -1/150*r**5 + 0 + 0*r - 3/5*r**j - 1/10*r**4 - 2*r**2. Factor n(t).
-2*(t + 3)**2/5
Let v(z) be the first derivative of 2*z**3/3 + 94*z**2 + 4418*z - 216. Let v(n) = 0. Calculate n.
-47
Let t(m) = -8 + 5*m**2 - 7 + 0*m**3 - 5*m**3. Let l(p) = -p**2 - p - 1. Let h(v) = 5*l(v) - t(v). Factor h(f).
5*(f - 2)*(f - 1)*(f + 1)
Let m = -602 - -607. Let f(i) be the third derivative of 3*i**2 + 1/45*i**m + 0 - 1/630*i**7 + 0*i + 0*i**6 + 0*i**3 + 0*i**4. Solve f(p) = 0.
-2, 0, 2
Let i(m) be the first derivative of 0*m**2 + 3/10*m**5 - 8 - m**3 + 3/8*m**4 + 0*m. Factor i(j).
3*j**2*(j - 1)*(j + 2)/2
Let d(r) be the second derivative of 1/105*r**6 - 1/14*r**4 + r - 2/3*r**3 - 8/7*r**2 - 40 + 2/35*r**5. Suppose d(w) = 0. What is w?
-4, -1, 2
Let b(v) be the first derivative of -5*v**3/3 - 15*v**2/2 + 20*v - 102. Factor b(r).
-5*(r - 1)*(r + 4)
Let q(t) be the third derivative of 17*t**7/1575 + 19*t**6/900 - 83*t**5/450 + 41*t**4/180 + 2*t**3/15 + 137*t**2. Find g such that q(g) = 0.
-3, -2/17, 1
Let t(i) be the third derivative of 0*i - 1/18*i**4 + 0*i**3 - 12*i**2 + 1/10*i**5 + 0 - 7/180*i**6. Factor t(s).
-2*s*(s - 1)*(7*s - 2)/3
Let d(g) be the second derivative of 0 - 3/20*g**5 + 7*g + 0*g**3 + 0*g**2 - 3/4*g**4. Determine o so that d(o) = 0.
-3, 0
Determine r, given that 21*r**4 - 8*r - 15*r**3 + 14*r**4 - 30*r**4 + 3*r + 15*r**2 = 0.
0, 1
Let i(q) be the third derivative of -1/3*q**3 + 1/30*q**5 - 1/60*q**6 - 12*q**2 + 0 + 0*q + 1/12*q**4. Factor i(m).
-2*(m - 1)**2*(m + 1)
Factor 291/5*u**2 - 987/5*u - 147/5 - 21/5*u**3.
-3*(u - 7)**2*(7*u + 1)/5
Let u(i) = -i**5 - i. Let p = 43 + -48. Let q(y) = 9*y**5 - 20*y**4 + 36*y**3 - 28*y**2 + 13*y. Let g(o) = p*u(o) - q(o). Let g(w) =