6)/(-8)*36/162. Let k(u) be the second derivative of 1/3*u**3 - 2*u**2 + g*u**4 + 0 - 3*u. Factor k(d).
2*(d - 1)*(d + 2)
Let w(s) be the third derivative of -s**6/72 + 223*s**5/12 - 248645*s**4/24 + 55447835*s**3/18 - 119*s**2 + s. Find f such that w(f) = 0.
223
Let r(x) be the first derivative of -2*x**3/9 - 2*x**2 - 217. Let r(a) = 0. What is a?
-6, 0
Let w(p) = p**3 - p**2 - p - 2. Let b be (-286)/(-130) + (-1)/5. Let q be w(b). Let 5*a**2 + 8*a**2 - 15*a**2 + q*a**2 - 8*a = 0. What is a?
-4, 0
Let r(s) be the first derivative of -49*s**3/5 + 42*s**2/5 - 12*s/5 + 210. Factor r(x).
-3*(7*x - 2)**2/5
Let t be (-1)/((-5)/3*(-19 + 22)). Let m be 2/4*0/2. Factor 2/5*r**2 + m - 7/5*r**3 + 4/5*r**4 + t*r.
r*(r - 1)**2*(4*r + 1)/5
Let z(o) = 188*o - 3760. Let w be z(20). Let 0*r + 4/5*r**2 + w = 0. What is r?
0
Let y(h) = -h**4 + h**3 - h**2 - h - 1. Let a(b) = -6*b**4 + 10*b**2 + 36*b + 20. Let v(d) = -a(d) + 4*y(d). Factor v(s).
2*(s - 3)*(s + 1)*(s + 2)**2
Let d be ((-30)/(-21))/(24/210*5). Factor -5/2*c**3 + 5/2*c**2 - d + 5/2*c.
-5*(c - 1)**2*(c + 1)/2
Let h(q) be the third derivative of 2*q**7/105 + 6*q**6/5 + 358*q**5/15 + 102*q**4 + 578*q**3/3 - 147*q**2 + 2. Factor h(w).
4*(w + 1)**2*(w + 17)**2
Let a(l) be the third derivative of l**8/448 + l**7/840 - 3*l**6/160 + l**5/80 + l**4/48 - 2*l**2 + 55. What is h in a(h) = 0?
-2, -1/3, 0, 1
Suppose 0*u + 0 + 0*u**2 + 25/2*u**4 - 12*u**3 - 1/2*u**5 = 0. Calculate u.
0, 1, 24
Let k(q) be the third derivative of -q**7/560 + q**6/60 - q**5/16 + q**4/8 - 7*q**3/2 - 17*q**2. Let y(r) be the first derivative of k(r). Factor y(w).
-3*(w - 2)*(w - 1)**2/2
Let x(u) = 36*u**2 - 36*u + 96. Let o(g) = -2*g**2 - 1. Let s(l) = -16*o(l) - x(l). Suppose s(t) = 0. Calculate t.
4, 5
Let a(c) be the second derivative of c**5/5 - 4*c**4/3 - 38*c**3/3 - 28*c**2 - 2*c + 5. Find r such that a(r) = 0.
-2, -1, 7
Let p(r) be the first derivative of -4*r**4 - 8/3*r**3 + 36*r + 4/5*r**5 + 24*r**2 - 13. Let p(w) = 0. What is w?
-1, 3
Let g(n) be the third derivative of 0 + 0*n - 1/3*n**3 + 4*n**2 + 1/150*n**5 - 1/15*n**4. Factor g(m).
2*(m - 5)*(m + 1)/5
Solve -18*r**4 - 1084/5*r**2 + 739/5*r**3 - 5*r**5 + 348/5*r - 32/5 = 0 for r.
-8, 1/5, 2
Let o(k) be the first derivative of k**4/12 - 13*k**3/3 + 169*k**2/2 + 18*k - 34. Let r(i) be the first derivative of o(i). Determine l, given that r(l) = 0.
13
Let z(d) be the second derivative of 50*d + 2/33*d**3 - 1/66*d**4 - 1/11*d**2 + 0. Factor z(h).
-2*(h - 1)**2/11
Let k(c) be the second derivative of 3*c**5/5 + 57*c**4/4 + 55*c**3 + 36*c**2 - 7*c - 19. Solve k(d) = 0.
-12, -2, -1/4
Let c(a) = 12*a**3 + 4*a**2 - 7*a - 9. Let h(i) = 5*i**3 + 2*i**2 - 3*i - 4. Let j(l) = -6*c(l) + 15*h(l). Factor j(d).
3*(d - 1)*(d + 1)*(d + 2)
Let u = 281/715 - -1/143. Suppose 9*n + 65 - 83 = 0. Solve -p**n - u + 7/5*p = 0 for p.
2/5, 1
Suppose 3*d - 4*d - 4 = 2*c, 0 = -4*d - 2*c + 2. Let i = 2/11 + 8/77. Factor -4/7*u - i*u**d - 2/7.
-2*(u + 1)**2/7
Let i(n) be the third derivative of -n**8/10080 - n**7/1260 + n**5/15 - 7*n**2. Let j(a) be the third derivative of i(a). Factor j(s).
-2*s*(s + 2)
Let q = 2 + 2. Suppose -3*w + 25 = q*f, -5*w + 2*w + 9 = 0. Factor -2 + 0*x - 5*x**2 - 1 + f*x + 4*x**2.
-(x - 3)*(x - 1)
Let c(k) be the first derivative of -1/16*k**4 + 0*k + 3/2*k**2 + 6 - 1/120*k**5 + 0*k**3. Let w(p) be the second derivative of c(p). Factor w(t).
-t*(t + 3)/2
Suppose -29*v = -78 + 74 - 83. Factor 200*b - 160 - 405/2*b**v + 315/2*b**2.
-5*(b + 1)*(9*b - 8)**2/2
Factor -5/6*t**2 + 7/6*t**3 - 1/6*t**4 - 7/6*t + 1.
-(t - 6)*(t - 1)**2*(t + 1)/6
Suppose -48 = -4*j + j - b, 3*b - 24 = -j. Factor -3*w**2 - 18*w + j + 6*w**2 + 12.
3*(w - 3)**2
Let j(m) be the third derivative of -m**5/210 - 4*m**4/21 - 5*m**3/7 - 31*m**2. Factor j(o).
-2*(o + 1)*(o + 15)/7
Factor 126/5*y + 0 - 3/5*y**2.
-3*y*(y - 42)/5
Factor -870/7*w + 63075/7 + 3/7*w**2.
3*(w - 145)**2/7
Let k = 592 + -872. Let g be 12/(-7)*k/16. Let 28*s**2 + 0*s**3 - s**3 - g*s**2 = 0. Calculate s.
-2, 0
Suppose -288/11 - 2/11*y**4 + 384/11*y + 32/11*y**3 - 16*y**2 = 0. What is y?
2, 6
Let x(y) be the third derivative of -y**5/480 + 79*y**4/96 - 6241*y**3/48 + 116*y**2. Factor x(v).
-(v - 79)**2/8
Suppose -4*p + 0*p + 3*b = 15, -2*p = -3*b + 15. Let r be (p + -1)*1 - -4. Factor -4 + 6 + 4*g + 4*g**r - 2 + 8*g**2.
4*g*(g + 1)**2
Suppose 8 - 5 = -3*q, 4*x - 166 = -2*q. Let n = 42 - x. Let -1/4*m - 1/4*m**2 + n = 0. What is m?
-1, 0
Let c(r) be the third derivative of r**6/320 + 3*r**5/32 - r**4/4 - 45*r**2. Suppose c(w) = 0. Calculate w.
-16, 0, 1
Let y(w) = -4*w**3 + 11*w**2 + 3*w + 3. Let c(d) = 12*d**3 - 32*d**2 - 8*d - 8. Let m(n) = 3*c(n) + 8*y(n). Factor m(b).
4*b**2*(b - 2)
Let t(i) be the third derivative of i**6/200 + 3*i**5/20 + 13*i**4/20 - 4*i**2 - 10*i. Factor t(q).
3*q*(q + 2)*(q + 13)/5
Find l, given that -94/3*l - 32 + 2/3*l**2 = 0.
-1, 48
Let d = 2/613 + -1560/102371. Let p = 171/334 + d. Let -p*m + 0 - m**2 - 1/2*m**3 = 0. What is m?
-1, 0
Suppose 0*w - 65 = -5*w. Let l = 39 - 29. Factor -34*x - w - 3*x**3 + l*x - 15*x**2 + 1.
-3*(x + 1)*(x + 2)**2
Let z(k) = -4*k**5 + 12*k**3 - 18*k**2 - 2*k. Let q(b) = -4*b**5 - 2*b**4 + 10*b**3 - 19*b**2 - 3*b. Let x(y) = -2*q(y) + 3*z(y). Solve x(a) = 0 for a.
-2, 0, 1, 2
Let l = -11/8 - -2093/8. Let o = -259 + l. Let s**4 + 3*s**5 - 3/2*s**2 + 1/2 - 17/4*s**3 + o*s = 0. Calculate s.
-1, -1/2, 2/3, 1
Let b = -114 - -117. Let o be (-102)/(-54) - b/(-81)*3. Determine u, given that 1/2*u**3 - 3/2*u**o - 5/2*u - 1 + 1/2*u**4 = 0.
-1, 2
Let j(k) be the first derivative of k**3/4 + 57*k**2/8 + 63*k + 446. Factor j(z).
3*(z + 7)*(z + 12)/4
Let p(m) be the second derivative of 2*m**6/105 - 6*m**5/35 + 11*m**4/21 - 4*m**3/7 + 124*m. Let p(k) = 0. Calculate k.
0, 1, 2, 3
Let s(c) be the first derivative of -c**5/80 - c**4/48 + 9*c - 3. Let w(h) be the first derivative of s(h). Factor w(u).
-u**2*(u + 1)/4
Factor 4/3*r**2 + 0*r - 2/3*r**4 + 0*r**3 - 2/3.
-2*(r - 1)**2*(r + 1)**2/3
Let l(d) be the second derivative of 7*d**4/30 - 6*d**3/5 - 9*d**2/5 - 52*d + 2. Suppose l(o) = 0. Calculate o.
-3/7, 3
Find r, given that -12*r - 23*r - 400 - 20*r - 25*r - 4*r**2 = 0.
-10
Let r(x) be the second derivative of -x**5/20 - 3*x**4/2 - 17*x**3/6 + 143*x. Determine y, given that r(y) = 0.
-17, -1, 0
Let k = -1114 - -1116. Let 0 + 6/5*o - 3/5*o**3 - 3/5*o**k = 0. Calculate o.
-2, 0, 1
Suppose -7*d = -5*d - 8. Find h such that -h**4 + 4*h**2 - 3*h**d + 7*h - 11*h + 4*h**3 = 0.
-1, 0, 1
Let d be 107/1605 - 3/(-30). Find o such that -d*o**2 + 0*o + 0 = 0.
0
Let s = 4 + 1. Let t be 6*1 - (3 - s). Find d, given that 5*d**4 - 5*d + 20*d**3 + 15*d**2 - t*d - 7*d - 20 = 0.
-2, -1, 1
Let a(x) = x**3 + x + 2. Let j be a(2). Let z be (-2)/6 - (-8)/j. Factor 0*u - 1/3*u**4 + 0 + 0*u**2 + z*u**3.
-u**3*(u - 1)/3
Let q(b) = -b**2 + 9*b + 9. Let w be q(9). Solve -4*y**2 - 91 - 53*y + 13*y - w = 0.
-5
Suppose 0 = 8*p + p + 22*p. Let k(h) be the third derivative of 1/240*h**5 + 10*h**2 + p*h + 1/32*h**4 + 0 - 1/6*h**3. Suppose k(x) = 0. Calculate x.
-4, 1
Let k = -7987/3 - -2665. Factor k - 2/3*l + 2/3*l**3 - 8/3*l**2.
2*(l - 4)*(l - 1)*(l + 1)/3
Let l(h) be the second derivative of -1/9*h**3 + 1/6*h**4 + 1/30*h**5 + 0 - h**2 - 3*h. Suppose l(c) = 0. Calculate c.
-3, -1, 1
Factor 25/4*i - 1/4*i**2 - 23/2.
-(i - 23)*(i - 2)/4
Determine w, given that -608*w**2 - 471 + 3328*w - 1577 - w**5 - 3*w**5 - 88*w**4 - 322*w**3 - 258*w**3 = 0.
-8, 1
Let o(b) be the third derivative of -b**6/420 + 2*b**5/15 - 11*b**4/12 + 50*b**3/21 - 87*b**2. What is g in o(g) = 0?
1, 2, 25
Let q be 4 + (45 - -6) - -5. Let n be ((-188)/q - -3)*55/(-22). Determine p, given that -n*p + 1/3*p**2 + 0 = 0.
0, 1
Let n be 94/12 + 0 + 4/24. Suppose 19*a - 7 + n*a**3 + 3*a - a**4 - 24*a**2 + 10*a - 9 = 0. What is a?
2
Let x be (-1 - 7) + (-4)/(-2)*2. Let k be (-14)/x*(12/28 - 0). Factor 0*a**2 + 0 - k*a**4 + 0*a + 1/2*a**3.
-a**3*(3*a - 1)/2
Let d(s) be the first derivative of 2 + 0*s - 1/4*s**4 + 1/20*s**5 - 3/2*s**3 + s**2. Let q(z) be the second derivative of d(z). Suppose q(l) = 0. Calculate l.
-1, 3
Let d = -14425 - -634729/44. Let h = d - -1/11. Factor 3/2*k**2 + 3/4*k**3 + 0 + h*k.
3*k*(k + 1)**2/4
Let n be (-4)/(-3)*(-10 + 4). Let w = n + 12. Deter