derivative of -j**4/42 + 172*j**3/21 + 173*j**2/7 + 137*j + 1. Factor i(o).
-2*(o - 173)*(o + 1)/7
Let n(y) be the second derivative of 5*y**8/336 - y**7/42 - y**6/24 + y**5/12 + 11*y**2 - 19*y. Let x(m) be the first derivative of n(m). Factor x(o).
5*o**2*(o - 1)**2*(o + 1)
Let k(d) be the second derivative of 0 - 9/4*d**2 + 1/40*d**5 + 5/4*d**3 - 7/24*d**4 - 27*d. What is m in k(m) = 0?
1, 3
Let n(u) = -25*u**3 - 82*u**2 + 68*u**2 + 367*u**2 - 427 - 941*u. Let t(o) = 63*o**3 - 882*o**2 + 2352*o + 1068. Let a(q) = -12*n(q) - 5*t(q). Factor a(j).
-3*(j - 6)**2*(5*j + 2)
Factor 0*j**2 + 0*j**2 - 2*j**5 - j**5 - 86*j**3 + 89*j**3.
-3*j**3*(j - 1)*(j + 1)
Let l(j) = 6*j**3 - 2*j**2 - 4*j - 4. Let r be l(-2). Let v be (r/(-20) - 2)*5. Factor 5*u + v*u**3 - 7*u**3 - u + 8*u**2 - 8.
-4*(u - 2)*(u - 1)*(u + 1)
Let w(g) = -108*g**2 - 1236*g + 4708. Let c(r) = -r**3 + 109*r**2 + 1238*r - 4710. Let b(y) = 2*c(y) + 3*w(y). Factor b(i).
-2*(i - 3)*(i + 28)**2
Let v(b) be the first derivative of -6*b**5/25 + b**4/2 + 2*b**3/3 - b**2 - 4*b/5 - 339. Let v(l) = 0. What is l?
-1, -1/3, 1, 2
Let h(w) be the first derivative of -35 + 24*w**2 - 4/3*w**3 - 144*w. Factor h(o).
-4*(o - 6)**2
What is v in -4/7*v + 0 + 74/7*v**2 = 0?
0, 2/37
Let v be 3/((-11 - -11) + 2 + -1). Factor -4/7*g**v - 108/7 + 36/7*g + 12/7*g**2.
-4*(g - 3)**2*(g + 3)/7
Let o be (-3)/(-9) - 137/(-3). Let k be o/14 - (-2)/(-7). Factor w**5 - 3*w + k*w - w**3 + 0*w.
w**3*(w - 1)*(w + 1)
Factor 0*k**2 + 0 - 3*k + 9/4*k**3 + 3/4*k**4.
3*k*(k - 1)*(k + 2)**2/4
Let o(w) be the first derivative of -w**3/15 + 9*w**2/10 + 14*w - 504. Factor o(v).
-(v - 14)*(v + 5)/5
Find o such that 5/2*o**2 - 5/2 + 5/2*o**3 - 5/2*o = 0.
-1, 1
Let r = -43873/65 + 675. Let u(k) be the first derivative of -9 + 0*k**2 - 2/39*k**3 + 0*k**4 + r*k**5 + 0*k. Let u(m) = 0. What is m?
-1, 0, 1
Let y(s) be the first derivative of -1/24*s**3 - 26 - 1/16*s**4 + 1/8*s**2 + 0*s + 1/40*s**5. Factor y(f).
f*(f - 2)*(f - 1)*(f + 1)/8
Let q(b) = 3*b**3 + 17*b**2 - 3*b - 21. Let y(w) = 2*w**3 - 2*w**2 - 2*w - 2. Let m(f) = 2*q(f) - 2*y(f). Factor m(z).
2*(z - 1)*(z + 1)*(z + 19)
Let y(f) = 10*f**5 + 4*f**4 - 12*f**3 - 4*f**2 + 2*f - 12. Let o(q) = q**5 - q**3 - 1. Suppose -3 = 2*m + 21. Let r(p) = m*o(p) + y(p). Factor r(a).
-2*a*(a - 1)**3*(a + 1)
Factor 12*s - 42*s**2 - 3*s**4 + 38*s**2 + 16*s**2 - 3*s**3.
-3*s*(s - 2)*(s + 1)*(s + 2)
Let j(d) be the first derivative of 2*d**6/3 + 24*d**5/5 + 9*d**4 + 16*d**3/3 - 480. Factor j(b).
4*b**2*(b + 1)**2*(b + 4)
Let o = -1352 - -6764/5. Find m, given that 2/5 + 2/5*m**2 + o*m = 0.
-1
Let f(r) be the second derivative of r**5/25 + 31*r**4/15 + 172*r**3/15 + 112*r**2/5 + 443*r. Factor f(k).
4*(k + 1)*(k + 2)*(k + 28)/5
Let o(q) be the second derivative of -q**6/90 - q**5/5 - 5*q**4/6 - 22*q**3/3 - 8*q. Let g(s) be the second derivative of o(s). Factor g(n).
-4*(n + 1)*(n + 5)
Let h(v) be the third derivative of -v**8/20160 + v**7/840 - v**6/80 - v**5/10 - v**2. Let n(l) be the third derivative of h(l). Suppose n(z) = 0. Calculate z.
3
Let q(r) = r**3 - 199*r**2 + 1517*r + 3883. Let x(h) = -3*h**3 + 696*h**2 - 5310*h - 13590. Let d(b) = -18*q(b) - 5*x(b). Factor d(s).
-3*(s - 18)**2*(s + 2)
Let l(h) be the first derivative of h**6/18 - h**5/15 - 7*h**4/12 + h**3/9 + h**2 + 244. Let l(o) = 0. Calculate o.
-2, -1, 0, 1, 3
Let i = -382 + 382. Let m(v) be the third derivative of 1/480*v**6 - 1/840*v**7 + i*v + 0*v**5 + 0*v**4 + 0 - 3*v**2 + 0*v**3. Find q, given that m(q) = 0.
0, 1
Suppose -2*c + 2*k - 8 = 0, 18 = -7*c - 2*k + 44. Suppose 3/2*r**c + 9 - 21/2*r = 0. What is r?
1, 6
Let d(h) be the first derivative of h**3/15 - 38*h**2/5 + 148*h/5 + 231. Factor d(t).
(t - 74)*(t - 2)/5
Let o(k) be the first derivative of 23*k**4/10 - 4*k**3/15 + 103. Factor o(n).
2*n**2*(23*n - 2)/5
Let a(f) = -9*f**2 - 16*f - 17. Let z(d) = 5*d**2 + 8*d + 9. Let t = 24 + -34. Let n(s) = t*z(s) - 6*a(s). Factor n(h).
4*(h + 1)*(h + 3)
Let o(c) = -c**4 - c**3 - c**2 + c - 1. Let d(t) = 8*t**4 - 108*t**3 + 108*t**2 + 108*t - 104. Let r(y) = -d(y) - 4*o(y). Determine s, given that r(s) = 0.
-1, 1, 27
Let r(s) be the second derivative of -s**8/33600 + s**7/3150 - s**6/900 - s**4/2 - 13*s. Let y(k) be the third derivative of r(k). Factor y(g).
-g*(g - 2)**2/5
Solve 1/5*o + 2/5 - 1/5*o**2 = 0 for o.
-1, 2
Suppose 6 - 41 = -5*l. Determine i so that -i**5 + 6*i**5 + 7*i + 13*i - l*i**3 - 18*i**3 = 0.
-2, -1, 0, 1, 2
Suppose 3*r + 16 = 11*r. Let l(c) be the third derivative of 1/6*c**3 + 1/120*c**5 + 0 + c**r + 1/16*c**4 + 0*c. Determine d so that l(d) = 0.
-2, -1
Let a(c) be the first derivative of 1/2*c**2 + 1/40*c**5 + 1/12*c**3 + 1 + 0*c + 1/12*c**4. Let z(k) be the second derivative of a(k). Factor z(q).
(q + 1)*(3*q + 1)/2
Let v = -49348/7 - -7050. Find j such that -4/7*j**3 + 2/7*j + 10/7 - 20/7*j**2 + v*j**5 + 10/7*j**4 = 0.
-5, -1, 1
Let q(w) be the second derivative of -w**5/180 + w**4/9 - 8*w**3/9 + 25*w**2/2 + 16*w. Let x(c) be the first derivative of q(c). Factor x(f).
-(f - 4)**2/3
Let y(r) be the second derivative of -5*r**7/42 + 13*r**6/18 - 7*r**5/8 - 15*r**4/4 - 17*r**3/6 - 11*r. Let o(g) be the second derivative of y(g). Factor o(h).
-5*(2*h - 3)**2*(5*h + 2)
Let b be 1*6*16/60. Let x be 48*2/(-20) + 6. Factor b*y**2 + x*y - 2/5.
2*(y + 1)*(4*y - 1)/5
Let i(f) be the third derivative of -f**6/200 + 3*f**5/50 - 9*f**4/40 + 2*f**3/5 + f**2 - 40*f. Factor i(o).
-3*(o - 4)*(o - 1)**2/5
Let n be 1/((-1*1/3)/(-1)). Solve -8 + n*s + 9 - s**2 + 2 - 5 = 0.
1, 2
Suppose -6*t + 5 = -t - k, -3*k = -2*t - 11. Factor -3*z**4 + 15*z**3 + 0*z**2 - 2*z**4 - 15*z - 5*z**t + 3 + 7.
-5*(z - 2)*(z - 1)**2*(z + 1)
Let q = 16 - 11. Suppose 0 = -q*j + 10, 2*l + 7 = 3*l + 3*j. Factor -21*o - 9*o**3 - 24*o**2 + 2 - l - 7.
-3*(o + 1)**2*(3*o + 2)
Let v be ((-8)/(-10))/(((-63)/(-35))/9). Let w be (2/12)/(8/24). Factor 1/2*o**2 + 0*o - o**3 + w*o**v + 0.
o**2*(o - 1)**2/2
Suppose -5 = -3*m + 4. Let s(j) = 2*j - 2. Let z be s(2). Factor -2/7*c**5 + 0*c + 2/7*c**m + 2/7*c**z - 2/7*c**4 + 0.
-2*c**2*(c - 1)*(c + 1)**2/7
Suppose -2/5*p**2 + 64/5 + 8/5*p = 0. What is p?
-4, 8
Let p = 1/749 - -729/14980. Let w(k) be the second derivative of -9/40*k**5 + 0 + 0*k**2 + 0*k**3 - 2*k + p*k**6 + 1/4*k**4. Factor w(u).
3*u**2*(u - 2)*(u - 1)/2
Let j(n) be the third derivative of -5*n**2 + 1/7*n**3 + 1/420*n**6 + 0 - 5/84*n**4 + 1/210*n**5 + 0*n. Factor j(b).
2*(b - 1)**2*(b + 3)/7
Let n(k) = -65*k**5 + 176*k**4 + 33*k**3 - 13*k**2 + 5*k - 10. Let t(i) = i**5 - i**4 - i**2 - i + 2. Let x(o) = n(o) + 5*t(o). Find f such that x(f) = 0.
-2/5, 0, 1/4, 3
Let k be (-4)/(-8)*(43 - -1). Find f, given that 4 + 7*f**2 + 12*f**2 - 1 - k*f**2 = 0.
-1, 1
Let o(j) = j**2 - 8*j + 8. Let t(i) = 2*i**2 - 17*i + 17. Let w(p) = -15*o(p) + 6*t(p). Let f(s) = s - 1. Let k(g) = 18*f(g) - w(g). Factor k(n).
3*n**2
Suppose -201*d + 4*w - 8 = -199*d, 4*d = 5*w - 4. Let n(g) be the second derivative of 0 - 1/6*g**d - 1/3*g**3 + 0*g**2 - 9*g. Determine b so that n(b) = 0.
-1, 0
Let f(i) be the first derivative of -i**7/2940 + i**6/420 - i**5/210 - 2*i**3/3 + 9. Let b(w) be the third derivative of f(w). Find s such that b(s) = 0.
0, 1, 2
Let p(r) = -r**3 + 14*r**2 - 12*r + 15. Let h be p(13). Let m be 2/3*24/h. Find f, given that 2/7*f**4 - 2/7 + m*f**3 + 0*f**2 - 4/7*f = 0.
-1, 1
Let n(l) be the second derivative of -l**5/20 - l**4/4 - l**2 - 2*l. Let c(b) be the first derivative of n(b). Factor c(d).
-3*d*(d + 2)
Let u be (-14)/56 - 3/(-12). Determine y, given that 0*y + u*y**2 - y**3 - 1/2*y**4 + 0 = 0.
-2, 0
Let p(x) be the third derivative of x**6/15 + x**4/6 - 3*x**2 + 6. Let v(m) = -m**2 + 9*m + 17*m**3 + 5*m**2 - 3*m**2. Let j(q) = -9*p(q) + 4*v(q). Factor j(n).
-4*n**2*(n - 1)
Suppose -4*o + 12 = -o. Let r(f) = 2 + o*f**2 - 2 + 4*f**3 - 7 - 1. Let p(l) = -4*l**3 - 5*l**2 + l + 8. Let a(n) = 4*p(n) + 3*r(n). Let a(t) = 0. What is t?
-2, -1, 1
Let v be ((-24)/(-45))/(22/10 + -1). Let b(p) be the second derivative of -1/6*p**5 + 2/3*p**2 - v*p**4 - 1/9*p**3 + 0 - 2*p. Factor b(h).
-2*(h + 1)**2*(5*h - 2)/3
Let s = -468 - -937/2. Suppose f - s*f**2 + 0 = 0. What is f?
0, 2
Let z(s) = 8 - 7 - 7 + s. Let a be z(8). Solve -3*o - 2*o**2 + a + 2*o**2 + o**2 = 0 for o.
1,