termine n, given that v(n) = 0.
-1, 0
Let q(l) be the first derivative of -48/5*l - 3/5*l**5 + 10 - 72/5*l**3 + 24/5*l**4 + 96/5*l**2. Find g such that q(g) = 0.
2/5, 2
Let -46/3*u + 2/9*u**3 - 70/9 - 22/3*u**2 = 0. Calculate u.
-1, 35
Let a(r) be the third derivative of -r**7/210 - 11*r**6/60 - 121*r**5/60 - 168*r**2. Determine s so that a(s) = 0.
-11, 0
Let y(k) be the second derivative of k**4/6 + 5*k**3/3 + 6*k**2 - 57*k. Factor y(u).
2*(u + 2)*(u + 3)
Let y be (-40)/(-14) - 69/322*4. Factor 3/7*c**4 - 9/7*c**y + 6/7 + 3/7*c**3 - 3/7*c.
3*(c - 1)**2*(c + 1)*(c + 2)/7
Let t(x) be the third derivative of -x**5/75 - 14*x**4/15 - 392*x**3/15 - 28*x**2. Factor t(f).
-4*(f + 14)**2/5
Let q(d) be the third derivative of d**7/280 + 13*d**6/160 + 23*d**5/80 + 11*d**4/32 + 506*d**2. Determine w so that q(w) = 0.
-11, -1, 0
Let o(r) be the first derivative of 2*r**3/9 - 6*r**2 - 80*r/3 + 273. Factor o(i).
2*(i - 20)*(i + 2)/3
Let j(f) = 4*f**2 + 34*f + 64. Let s(t) be the third derivative of -t**4/24 + 10*t**2. Let g(u) = j(u) + 2*s(u). Let g(m) = 0. What is m?
-4
Let z(v) be the first derivative of v**5/5 + v**4/2 - 5*v**3/3 - 3*v**2 + 12. Factor z(n).
n*(n - 2)*(n + 1)*(n + 3)
Let t(o) be the first derivative of -3/40*o**5 - 2/3*o**3 - 6 - 1/4*o**4 - 1/120*o**6 + 0*o**2 + 0*o. Let h(y) be the third derivative of t(y). Factor h(a).
-3*(a + 1)*(a + 2)
Let g(f) be the third derivative of 15*f**8/112 - 2*f**7/7 - 11*f**6/24 - f**5/6 - 2*f**2 + 27. Factor g(c).
5*c**2*(c - 2)*(3*c + 1)**2
Let p = 4519/3 + -1506. What is i in 0*i + 0*i**2 + 2/3*i**4 + 0 - p*i**5 - 1/3*i**3 = 0?
0, 1
Let a = 700 + -4199/6. Let o(d) be the second derivative of -4*d + 0*d**2 + 0 + 0*d**3 - 7/20*d**5 + a*d**4. Suppose o(m) = 0. Calculate m.
0, 2/7
Let p = 118/369 + -4/41. Let m be (6 - 6)/(3/((-9)/(-15))). Let -2/9*r + m + 0*r**2 + p*r**3 = 0. Calculate r.
-1, 0, 1
Let u(n) be the first derivative of -n**6/660 + n**5/66 - 7*n**4/132 + n**3/11 + 27*n**2/2 + 18. Let m(j) be the second derivative of u(j). Factor m(v).
-2*(v - 3)*(v - 1)**2/11
Factor 8/7*x**2 - 4/7*x - 4/7*x**3 + 0.
-4*x*(x - 1)**2/7
Let h(q) be the third derivative of -1/32*q**4 + 0*q - 3/560*q**7 + 0*q**3 + 3/160*q**5 + 0 + 1/896*q**8 + 1/320*q**6 + 19*q**2. Let h(i) = 0. Calculate i.
-1, 0, 1, 2
Let c(l) = -3*l**2 - l - 3. Suppose -5*w + 4 + 111 = 0. Let f = w - 28. Let x(y) = -2*y**2 - y - 2. Let u(j) = f*x(j) + 3*c(j). Factor u(r).
(r + 1)**2
Let l = -4744 + 4746. Factor 81/4*q**l + 9*q + 1.
(9*q + 2)**2/4
Let k(j) = j**4 + j**3 + j**2 + 1. Let h(c) = -3 + 32*c**3 - 25 - 2*c**4 - 63*c**2 + 2 + 8 + 60*c - c**4. Let v = 6 + -4. Let y(i) = v*k(i) - h(i). Factor y(m).
5*(m - 2)**2*(m - 1)**2
Let i(j) = j**3 + 7*j**2 + 8*j + 16. Let a be i(-6). Let b be 236/34 - (18 + -16) - a. Factor -8/17 + 2/17*z**3 + b*z - 10/17*z**2.
2*(z - 2)**2*(z - 1)/17
Let u = -674 - -676. Let s(j) be the third derivative of 0*j - 1/9*j**3 - 1/360*j**6 + 0*j**5 + 0 - 7*j**u + 1/24*j**4. Factor s(n).
-(n - 1)**2*(n + 2)/3
Let y(v) = v**3 + 16*v**2 + 16*v + 18. Let n be y(-15). Suppose 2*l + 15*l**3 - 16*l**2 - 6*l**3 + 23*l**n = 0. What is l?
0, 1/4
Let z(r) be the third derivative of -r**7/315 + r**6/60 + 2*r**5/45 - 6*r**2 - 24. Solve z(c) = 0 for c.
-1, 0, 4
Let o be 2405/7735 - ((-8)/12 + (-56)/(-102)). Determine a so that 0*a**2 + 0*a + 0*a**3 - 6/7*a**4 - o*a**5 + 0 = 0.
-2, 0
Factor -2/9*l**2 + 32/9 + 32/9*l - 2/9*l**3.
-2*(l - 4)*(l + 1)*(l + 4)/9
Let u(q) be the second derivative of 35/2*q**3 - 45*q**2 + 0 + 1/4*q**5 - 10/3*q**4 + 17*q. Let u(j) = 0. Calculate j.
2, 3
Find q such that -246*q**4 - 20*q**2 - 13*q**3 + 241*q**4 - 7*q**3 = 0.
-2, 0
Let x(l) be the third derivative of -8*l**2 - 1/900*l**6 + 0*l**4 + 0*l + 1/2*l**3 + 0 + 0*l**5. Let z(m) be the first derivative of x(m). Solve z(q) = 0.
0
Let u(v) = 11*v - 407. Let t be u(37). Let k(d) be the second derivative of -4*d + 0 + 1/2*d**2 - 1/12*d**4 + t*d**3. Solve k(j) = 0 for j.
-1, 1
Let c(v) = 7*v**2 - 6*v + 2. Let g(d) be the second derivative of d**4/2 - d**3 + d**2 - 24*d. Let q(x) = -2*c(x) + 3*g(x). Factor q(o).
2*(o - 1)*(2*o - 1)
Suppose d - 3 = -q, -50*q + 51*q - 3 = -5*d. Factor -2/7 - 18/7*v**q + 34/7*v**2 - 2*v.
-2*(v - 1)**2*(9*v + 1)/7
Let t(h) be the first derivative of h**3 + 20 + 9/2*h**2 + 6*h. Factor t(g).
3*(g + 1)*(g + 2)
Let n = 42/11 - 661/176. Let x(b) be the first derivative of 0*b**3 + 0*b**2 + 0*b - 2 + n*b**4. Solve x(h) = 0.
0
Suppose -p - 22 = -27. Find c, given that -3*c + 2*c**3 - 60 + 60 + 6*c**2 - p*c**3 = 0.
0, 1
Factor -35/4*b - 1/4*b**3 + 4*b**2 - 13.
-(b - 13)*(b - 4)*(b + 1)/4
Factor -24/5*i**3 - 21/5*i**4 + 48/5*i**2 - 3/5*i**5 + 0 + 0*i.
-3*i**2*(i - 1)*(i + 4)**2/5
Let m(n) = 9*n**5 - 9*n**4 - 65*n**3 + 25*n**2 + 94*n + 11. Let q(v) = -3*v**5 + 3*v**4 + 22*v**3 - 8*v**2 - 32*v - 4. Let o(y) = 4*m(y) + 11*q(y). Factor o(g).
3*g*(g - 2)**2*(g + 1)*(g + 2)
Let r = 8527 + -8524. Solve 6/13*v**r - 12/13 - 2/13*v**4 + 6/13*v**2 - 14/13*v = 0 for v.
-1, 2, 3
Suppose -3*c + 3*d = 9, 4*c = -3*d + 21 + 2. Factor 3/7*r**3 - 18/7*r**c + 27/7*r + 0.
3*r*(r - 3)**2/7
Solve 20 + 1/3*s**2 + 19/3*s = 0.
-15, -4
Determine m so that -1/2 - 49/2*m**5 + 11/2*m - 53*m**3 - 5*m**2 - 133/2*m**4 = 0.
-1, 1/7
Factor 7754*a**2 + 10*a - 4003*a**2 - 4396*a**2.
-5*a*(129*a - 2)
Let m be (2/4)/(11/418). Factor -5*v**2 + 10*v**4 + m*v**4 - 24*v**4.
5*v**2*(v - 1)*(v + 1)
Let x(s) = s**2 + 11*s + 18. Let n be x(-9). Let v be 15/3 - (-15 + n/4). Find k such that 64/5 - 32*k + v*k**2 = 0.
4/5
Factor -2/9*x + 82/9*x**2 + 0.
2*x*(41*x - 1)/9
Let n(m) be the first derivative of -m**4/16 - m**3/12 + 9*m**2/8 + 9*m/4 - 210. Solve n(w) = 0 for w.
-3, -1, 3
Let j be (-1)/(-5) + (-3157)/(-315) + -10. Solve j*o**2 + 0*o - 2/9 = 0 for o.
-1, 1
Let f(o) be the third derivative of 0*o - 7/160*o**6 + 0 - 1/280*o**7 - 5/8*o**4 - 10*o**2 - 9/40*o**5 - o**3. Factor f(j).
-3*(j + 1)*(j + 2)**3/4
Factor 589*h**2 + 5*h**4 + 14*h**3 - 583*h**2 + 5*h**4 + 2*h**5.
2*h**2*(h + 1)**2*(h + 3)
Let o = -1090/7 + 156. Determine p so that 2/7*p + o*p**2 + 0 = 0.
-1, 0
Let p(g) be the first derivative of -5*g**3/3 + 295*g**2 - 17405*g - 194. Factor p(u).
-5*(u - 59)**2
Let c(v) = 1. Let s(z) = -z**2 - 100*z - 2501. Let x(q) = 2*c(q) + 2*s(q). Let x(y) = 0. Calculate y.
-50
Let p(h) be the second derivative of h**5/170 + 9*h**4/34 + 65*h**3/17 + 169*h**2/17 + 15*h + 1. Factor p(a).
2*(a + 1)*(a + 13)**2/17
Let k(j) = -2*j - 10. Let r be k(-5). Suppose r = -11*o + 7 + 15. Determine y so that y**o + 1/2*y**3 + 0 - y**4 - 1/2*y = 0.
-1, 0, 1/2, 1
Let c = 3529/15 - 701/3. Let f(h) be the first derivative of 4/5*h**4 + c*h**3 + 4/5*h - 1 + 4/25*h**5 + 8/5*h**2. Factor f(t).
4*(t + 1)**4/5
Factor -31*r**2 + r - 5*r + 411*r**5 - 11*r**4 - 44*r**3 + 440*r**5 - 845*r**5.
r*(r - 4)*(r + 1)**2*(6*r + 1)
Factor -21/2*t**2 - 1/2*t**4 + 19/2*t + 9/2*t**3 - 3.
-(t - 6)*(t - 1)**3/2
Factor -648/7*j**3 + 0 - 2/7*j**5 + 0*j**2 - 72/7*j**4 + 0*j.
-2*j**3*(j + 18)**2/7
Factor 178/5*u**2 - 72 + 2/5*u**3 - 184/5*u.
2*(u - 2)*(u + 1)*(u + 90)/5
Let m be (-163)/9 - (101 + -120). Find v, given that -16/9 - m*v**3 + 4/3*v**2 + 16/9*v - 4/9*v**4 = 0.
-2, 1
Let c(w) = 2*w**3 - 2*w**2 - 17*w + 17. Let o(u) = 3*u**3 - 3*u**2 - 33*u + 33. Let m(f) = 7*c(f) - 3*o(f). Determine k, given that m(k) = 0.
-2, 1, 2
Let z(a) be the first derivative of 3*a**5/20 + 185*a**4/16 + 2821*a**3/12 - 961*a**2/8 - 209. Determine v so that z(v) = 0.
-31, 0, 1/3
Let y = 49 + -38. Suppose 5*j + 4*j**2 - 3 - y*j**5 + 5 - 6*j**4 - 11*j + 13*j**5 + 4*j**3 = 0. What is j?
-1, 1
Determine n, given that 0*n**2 + 4*n**2 - 276 + 271 - 4*n**2 + 5*n**2 = 0.
-1, 1
Suppose 10*b = 5*b. Let p(q) be the first derivative of 1/4*q**5 + 1 + 0*q + b*q**2 - 7/16*q**4 - 1/24*q**6 + 1/4*q**3. Determine c so that p(c) = 0.
0, 1, 3
Let k(t) be the first derivative of 4/3*t**3 + 2 + t - 5/2*t**2. Factor k(n).
(n - 1)*(4*n - 1)
Let q(j) be the first derivative of j**5/15 + 35*j**4/2 + 1225*j**3 + 672. Factor q(h).
h**2*(h + 105)**2/3
Let s(y) be the first derivative of 31 + 10/3*y**6 - 7*y**4 - 4*y**3 + 12/5*y**5 + 0*y + 4*y**2. Find m, given that s(m) = 0.
-1, 0, 2/5, 1
Let d(s) be the third derivative of s**5/30 - 65*s**4/84 + 6*s**3/7 - 52*s**2 - 3*s. Factor d(p