*3.
4*(k - 4)*(k - 2)*(k - 1)/3
Factor -25654*n**2 + 12*n - 48 + 25650*n**2 + 20*n.
-4*(n - 6)*(n - 2)
Let x(a) be the third derivative of 11*a**5/420 + 5*a**4/42 - 2*a**3/21 - 3*a**2 + 11*a. Factor x(w).
(w + 2)*(11*w - 2)/7
Let 0*k - 8*k**2 + 8/3*k**3 - 2/9*k**4 + 0 = 0. Calculate k.
0, 6
Determine j, given that -4/9*j**2 + 14/9*j**3 + 0*j + 8/9*j**4 + 0 = 0.
-2, 0, 1/4
Determine q so that 7/4*q + 157/8*q**4 - 5/2*q**5 - 37/8*q**2 - 57/4*q**3 + 0 = 0.
-2/5, 0, 1/4, 1, 7
Find h such that -4/3 + 10/3*h - 8/3*h**2 + 2/3*h**3 = 0.
1, 2
Factor -60*i**2 - 4 + 3720*i - 61*i**2 - 3764*i.
-(11*i + 2)**2
Let j(k) be the third derivative of -1/42*k**7 - 1/24*k**6 - 7*k**2 + 0*k + 0 + 1/12*k**5 + 5/24*k**4 + 0*k**3. Solve j(g) = 0.
-1, 0, 1
Let s = -2/5 + 16/15. Factor 2/3*z**2 + 0 + 0*z**3 - s*z**4 + 1/3*z - 1/3*z**5.
-z*(z - 1)*(z + 1)**3/3
Let h(f) be the third derivative of 0*f**5 + 0 + 3/40*f**4 + 0*f + 25*f**2 - 1/5*f**3 - 1/200*f**6. Factor h(y).
-3*(y - 1)**2*(y + 2)/5
Let d = -70 - -75. Let n(t) be the first derivative of -3*t**2 - 3*t**4 + 5*t**3 + 3/5*t**d + 0*t + 5. Factor n(x).
3*x*(x - 2)*(x - 1)**2
Let d(i) be the first derivative of -i**7/70 + i**6/25 - 3*i**5/100 - 3*i + 2. Let u(m) be the first derivative of d(m). Factor u(o).
-3*o**3*(o - 1)**2/5
Suppose 3*b - 12 = -b. Let v be (-9)/(-3)*(-2)/(-3). Factor -4*c**2 + v*c**3 - 2*c**3 + 2*c**b.
2*c**2*(c - 2)
Let s(l) be the second derivative of l**5/10 + 7*l**4/6 - l**3/3 - 7*l**2 + 71*l. Factor s(b).
2*(b - 1)*(b + 1)*(b + 7)
Let w = 176 - 128. What is z in -z**3 + 4*z**3 - 3*z**3 + w*z - 32 - 24*z**2 + 4*z**3 = 0?
2
Suppose -206 = 33*y - 272. Factor -1 + 1/4*v**y - 1/4*v**3 + v.
-(v - 2)*(v - 1)*(v + 2)/4
Suppose 2*q + 37 = 5*w, 7*q + 2*w + 8 = 4*q. Let b = 6 + q. Factor 4/3*f**2 + b - 56/3*f**4 + 0*f - 2/3*f**3.
-2*f**2*(4*f - 1)*(7*f + 2)/3
Suppose 5*p + 5 = 0, 59*a - 20 = 54*a + 5*p. Factor 0*g + 0 + 0*g**2 + 0*g**a + 1/12*g**5 + 1/12*g**4.
g**4*(g + 1)/12
Let b(m) be the first derivative of -m**5/50 - 33*m**4/20 - 34*m**3 + 578*m**2/5 - 634. Suppose b(n) = 0. Calculate n.
-34, 0, 2
Let n(s) be the second derivative of -s**5/10 - 7*s**4/3 - 49*s**3/3 + 10*s - 2. Find x, given that n(x) = 0.
-7, 0
Solve -2/7*n**3 + 4/7 + 2/7*n - 4/7*n**2 = 0 for n.
-2, -1, 1
Solve 0 + 2/7*d**3 - 2/7*d + 0*d**2 = 0.
-1, 0, 1
Let q(y) be the first derivative of -y**4 + 8*y**2 + 59. What is h in q(h) = 0?
-2, 0, 2
Let p(j) = -149*j**4 + 51*j**3. Let o(q) = -37*q**4 + 13*q**3. Let m(t) = -9*o(t) + 2*p(t). Determine i so that m(i) = 0.
0, 3/7
Let v be (22 - 20)/42*27. Factor 0 + 3/7*w**2 - v*w.
3*w*(w - 3)/7
Factor 3/5*h**3 - 12*h + 72/5 + 6/5*h**2.
3*(h - 2)**2*(h + 6)/5
Let r(u) be the second derivative of 0*u**2 - 1/36*u**4 + 0*u**3 + 0 + 22*u. Factor r(i).
-i**2/3
Let h(q) be the first derivative of -q**3/3 + q**2/2 + 2*q - 74. Factor h(r).
-(r - 2)*(r + 1)
Let s = 1979 + -13849/7. Factor -4/7*t**2 + 8/7 - s*t.
-4*(t - 1)*(t + 2)/7
Let l(f) be the third derivative of f**8/504 + 11*f**7/105 - 71*f**6/90 + 109*f**5/45 - 49*f**4/12 + 37*f**3/9 - 12*f**2 + 23. What is y in l(y) = 0?
-37, 1
Suppose s - 2*t = -5, -3*s + 5*t = 2*t + 3. Suppose 152*j**2 - j**s - 150*j**2 + 2*j**3 = 0. Calculate j.
-2, 0
Let w(o) be the first derivative of -5*o + 1/5*o**5 + 2/3*o**4 + 2/3*o**3 + 3 + 0*o**2. Let j(y) be the first derivative of w(y). Factor j(c).
4*c*(c + 1)**2
Let t(o) be the third derivative of -o**5/30 + 5*o**4/6 - 7*o**3 - 58*o**2. Determine h so that t(h) = 0.
3, 7
Let i be ((-3045)/(-58))/(-21) + 95/14. Factor -48/7*r - 6*r**2 + i*r**3 + 24/7.
6*(r - 2)*(r + 1)*(5*r - 2)/7
Suppose 5*p + 5*m = 0, 0 = -2*p + 4*m + 22 - 10. Factor -8/5 - 2*h - 2/5*h**p.
-2*(h + 1)*(h + 4)/5
Let g(r) = -r**2 + 18*r - 14. Let j be g(17). Factor 1/6*d + 0*d**2 + 0 + 0*d**4 + 1/6*d**5 - 1/3*d**j.
d*(d - 1)**2*(d + 1)**2/6
Let u be 0 - -1 - (1 - 3). Suppose u*w + 11 = q, 3*q + 3*w + 2 = -1. Factor -35*n**q + 1 - 16 - 5 + 80*n.
-5*(n - 2)*(7*n - 2)
Let f = 757/6 - 14357/114. Let j = f - -2/19. Factor -1/3*m**2 - 1/3*m + 1/3 + j*m**3.
(m - 1)**2*(m + 1)/3
Let h(o) = -o**4 - 9*o**3 - 6*o**2 + 6. Let t(u) = -2*u**4 - 16*u**3 - 11*u**2 + 11. Let s(w) = -11*h(w) + 6*t(w). Factor s(z).
-z**3*(z - 3)
Factor -5 - 297*z**3 - 33*z + 23*z - 3 + 3*z**2 + 301*z**3 - z**4.
-(z - 4)*(z - 2)*(z + 1)**2
Let f(t) be the first derivative of -4*t**3/3 - 2*t**2 - 245. Solve f(y) = 0.
-1, 0
Find h such that 0*h**2 - 6*h**2 + 110*h - 2*h**3 - 114*h = 0.
-2, -1, 0
Let z(x) be the third derivative of 0*x**4 - 1/360*x**6 + 4*x**2 + 0*x - 1/90*x**5 + 0*x**3 + 0. Factor z(p).
-p**2*(p + 2)/3
Let g(w) be the second derivative of 4*w + 2/135*w**6 + 1/189*w**7 + 1/90*w**5 + 0*w**2 + 0 + 0*w**3 + 0*w**4. Factor g(s).
2*s**3*(s + 1)**2/9
Suppose 186*m = 185*m + 9. Let 15*d - 5 - 4 - m*d + 3*d**2 = 0. Calculate d.
-3, 1
Let z be (36/(-42) - -1) + ((-23436)/(-49))/12. Suppose 8*i - z - 2/5*i**2 = 0. Calculate i.
10
Let u be -4 + 11/((-22)/(-12)). Factor 2*t**4 - 4*t + u*t**4 + 6 - 12*t**2 + 2 + 4*t**3.
4*(t - 1)**2*(t + 1)*(t + 2)
Let n(g) = -18*g - 30*g + 62*g + 4 + 14 - g**2. Let h be n(15). Factor -8/15 + 2/15*u**2 - 2/15*u**h + 8/15*u.
-2*(u - 2)*(u - 1)*(u + 2)/15
Let q(a) be the third derivative of a**5/210 + a**4/6 - 5*a**3/7 + 10*a**2 - 3. Factor q(r).
2*(r - 1)*(r + 15)/7
Let m(g) = 0*g**3 + 2*g + 23 - 12*g**2 - 5 - 2*g**3 + 3*g. Let p(l) = 5*l**3 + 25*l**2 - 10*l - 35. Let x(y) = -5*m(y) - 3*p(y). Let x(k) = 0. Calculate k.
-3, -1, 1
Let v(p) be the first derivative of 5*p**4/12 - 5*p**3/6 - 12*p - 13. Let q(w) be the first derivative of v(w). Suppose q(x) = 0. What is x?
0, 1
Let w(d) be the third derivative of -d**7/210 + 3*d**6/40 + d**5/6 + 93*d**2. Factor w(i).
-i**2*(i - 10)*(i + 1)
Let d(c) be the third derivative of c**6/90 - c**5/5 + 7*c**4/9 + 16*c**3/3 - 671*c**2. Suppose d(f) = 0. What is f?
-1, 4, 6
Let f be (-1 - 2)*10/15 - 8. Let i(j) = -4*j**3 - 6*j**2 - 16*j + 16. Let h(p) = p**3 + 2*p**2 + 5*p - 5. Let d(s) = f*h(s) - 3*i(s). Let d(c) = 0. Calculate c.
-1, 1
Factor -27*n**3 - 48*n + 3*n**4 + 96*n**2 - 24*n**2 - 1 + 1.
3*n*(n - 4)**2*(n - 1)
Let f be 6/90*5*7 + -2. Let v(z) be the second derivative of -1/3*z**4 + 0 + 0*z**5 + f*z**3 + 2/15*z**6 - 1/21*z**7 + 0*z**2 + 4*z. Solve v(r) = 0 for r.
-1, 0, 1
Factor -373*f + 0*f**3 + 265*f - 464*f + 676 - 4*f**3 - 100*f**2.
-4*(f - 1)*(f + 13)**2
Suppose 30 = -8*l + 3*l. Let o be (-26)/l + (-10)/(-15). What is g in -3*g**2 + g + 7*g**5 - 9*g**3 + 3*g**4 - g**o + 2*g = 0?
-1, 0, 1/2, 1
Let j(t) be the second derivative of -t**9/7560 - t**8/1120 + t**6/90 + 7*t**4/12 + 10*t. Let l(y) be the third derivative of j(y). Factor l(a).
-2*a*(a - 1)*(a + 2)**2
Suppose 1/2 - 9/4*i**2 + 17/4*i = 0. Calculate i.
-1/9, 2
Let u(x) be the third derivative of -4*x**5/15 - x**4/2 + 2*x**3/3 - 4*x**2. Let b(p) = p**2 + p. Let d(y) = -12*b(y) - u(y). Factor d(h).
4*(h - 1)*(h + 1)
Let h(z) be the second derivative of -z**4/3 + 28*z**3 - 882*z**2 + 6*z. Find m, given that h(m) = 0.
21
Suppose 0 = -4*l - 21 + 237. Suppose -30 + 100 - 4*g**2 - l - 2*g + 14*g = 0. Calculate g.
-1, 4
Let a(j) be the third derivative of j**5/60 + 5*j**4/12 + 193*j**2. Suppose a(b) = 0. What is b?
-10, 0
Let a = 368/43 + -2060/301. Factor -9/7*o + 3/7*o**2 - a.
3*(o - 4)*(o + 1)/7
Let r(n) = -n**3 - 7*n**2 + n + 36. Let o be r(-6). Let h be ((-8)/(-12))/(o/(-36)). Solve 1/7*v**3 - 1/7*v + 0 + 1/7*v**2 - 1/7*v**h = 0.
-1, 0, 1
Find w such that 0*w + 2/13*w**4 - 2/13*w**3 + 0 - 4/13*w**2 = 0.
-1, 0, 2
Let h be -101 + (0 - (5 + 0)). Let k = h + 108. Determine j, given that 3/4*j**k + 0 - 3/2*j = 0.
0, 2
Let i(c) = 15*c**2 - 431*c - 150. Let u(q) = 74*q**2 - 2154*q - 748. Let r(m) = -14*i(m) + 3*u(m). Find b, given that r(b) = 0.
-1/3, 36
Let i(k) be the third derivative of k**5/30 - k**4/4 + 26*k**2 + 2*k. Factor i(z).
2*z*(z - 3)
Let f(k) = -k**4 + k**3 - 2*k**2 - k + 1. Let y(w) = w**4 + 19*w**3 - 26*w**2 - 3*w + 3. Let u(n) = -3*f(n) + y(n). Factor u(d).
4*d**2*(d - 1)*(d + 5)
Determine i so that -2/11*i**2 - 16/11*i - 24/11 = 0.
-6, -2
Let h(t) be the first derivative of -3*t**4/4 - 22*t**3 + 150*t**2 - 312*t + 395. What is c in h(c) = 0?
-26, 2
Let j(l) be the third derivative of -1/72*l**4 + 0 - 1/180*l**5 + 0*l + 0*l**3 + 11*l**2.