2. Solve z(x) = 0.
-7, -2
Let b(v) be the second derivative of 1/4*v**3 + 0 + 1/8*v**4 + 1/40*v**5 + 1/4*v**2 + 12*v. Let b(g) = 0. What is g?
-1
Let x(t) = -20*t**3 + 75*t**2 + 170*t + 25. Let q(j) = -5*j**3 + 19*j**2 + 42*j + 6. Let a(u) = 25*q(u) - 6*x(u). Factor a(k).
-5*k*(k - 6)*(k + 1)
Factor -6 - 28*p + p**2 - 26*p + 49*p.
(p - 6)*(p + 1)
Suppose -39/8*j**2 - 9/2 + 3/2*j**4 + 39/2*j - 39/8*j**3 = 0. Calculate j.
-2, 1/4, 2, 3
Let l(n) be the first derivative of 12167*n**6/2 + 19044*n**5/5 + 828*n**4 + 64*n**3 + 85. Factor l(u).
3*u**2*(23*u + 4)**3
Let 16 - 70/3*r - r**2 = 0. Calculate r.
-24, 2/3
Let 374*x**2 + 26*x**2 - 25*x**4 - 60*x**3 + 360 - 45*x**2 + 1050*x = 0. What is x?
-3, -2/5, 4
Let t = -28 + 141/5. Factor -m**5 + t*m**3 + 0 + 0*m + 0*m**2 - 4/5*m**4.
-m**3*(m + 1)*(5*m - 1)/5
Solve 27/2*z**2 - 6 + 12*z - 12*z**3 - 15/2*z**4 = 0 for z.
-2, -1, 2/5, 1
Let y be ((-32)/56)/((-1)/2). Let n(r) = r**3 - 2*r. Let g be n(2). Factor 0 + y*u**3 - 16/7*u**2 + 4/7*u**g + 0*u - 2/7*u**5.
-2*u**2*(u - 2)**2*(u + 2)/7
Find w, given that 72*w + 0 + 1/2*w**3 + 12*w**2 = 0.
-12, 0
Let f = 68/9 - 133/18. Let j(n) be the second derivative of -1/42*n**7 - f*n**3 + 1/3*n**4 + 0*n**2 + 0 - 3/10*n**5 + 2/15*n**6 - 2*n. Let j(g) = 0. What is g?
0, 1
Let u(h) = 34*h - 4. Let d be u(1). Suppose 18*b**3 + 14*b**3 - 6*b - d*b**3 + 4*b**2 = 0. What is b?
-3, 0, 1
Let u(w) = 2*w**2 + 14*w + 16. Let n(a) = 2*a**2 + a + 1. Let c(k) = -2*n(k) + u(k). Determine b so that c(b) = 0.
-1, 7
Let i = 231 - 218. Suppose 9*c + i - 31 = 0. Factor 0*p + 1/3*p**c - 1/3.
(p - 1)*(p + 1)/3
Let c be (-9)/24 + (-102)/(-16). Factor c*a**3 - 2*a - 16*a**2 - a - 23*a**3 - 4*a**4.
-a*(a + 1)*(a + 3)*(4*a + 1)
Let y = 1971/5 - 393. Solve 0 - 36/5*o + y*o**2 = 0.
0, 6
Let p be 10/45 - 212/(-18). Suppose 0 = 2*a - 4*d + p, 4 = -d + 7. Factor -2*l + 6*l - 2*l**2 + 0 - 2*l**3 + a.
-2*l*(l - 1)*(l + 2)
Let c(j) be the second derivative of 0*j**2 + 1/24*j**4 + 0 - 1/60*j**6 + 0*j**3 - 12*j + 0*j**5. Suppose c(q) = 0. What is q?
-1, 0, 1
Let k(a) be the first derivative of a**8/240 + 3*a**7/280 + a**6/180 - 6*a**3 - 1. Let q(o) be the third derivative of k(o). Factor q(s).
s**2*(s + 1)*(7*s + 2)
Let a(s) = -s**3 - 14*s**2 + 20*s + 77. Let t be a(-15). Determine c so that -5/3*c + 2/3 + c**t = 0.
2/3, 1
Suppose -6*s + 7*s + 21 = -5*l, 0 = -5*l - 25. Let j(b) be the second derivative of 0 - 1/20*b**5 - 5/6*b**3 - s*b - 1/3*b**4 - b**2. Let j(y) = 0. Calculate y.
-2, -1
Let v(k) be the second derivative of -k**4/3 - 26*k**3/3 - 239*k. Factor v(s).
-4*s*(s + 13)
Suppose 4/7*w**3 + 20/7*w - 16/7*w**2 - 8/7 = 0. Calculate w.
1, 2
Suppose 9*f = -10*f. Solve 2/19*a**2 + f*a - 2/19 = 0 for a.
-1, 1
Let j(k) be the third derivative of k**8/12 + 158*k**7/105 + 211*k**6/30 + 229*k**5/15 + 53*k**4/3 + 32*k**3/3 + 268*k**2. Factor j(u).
4*(u + 1)**3*(u + 8)*(7*u + 2)
Factor 22*i - 6*i**2 - 39*i**2 - 105 + 0*i**2 + 44*i**2.
-(i - 15)*(i - 7)
Let c be (-1)/3*-9 - 104/36. Let a(o) be the first derivative of 1/4*o**4 - 1/3*o**2 + 0*o + 4 - c*o**3. Suppose a(t) = 0. Calculate t.
-2/3, 0, 1
Let m(h) = -h**2 + 6*h + 7. Let r(t) = -2*t**2 + 12*t + 14. Suppose -2*g - 63 = -57. Let f(w) = g*r(w) + 5*m(w). Factor f(q).
(q - 7)*(q + 1)
Let c be (-1 - (4 - 5))/2. Suppose -7*p + 30 + 82 = c. Solve 27*m**4 - 11*m**4 + p - 50*m**3 - 56*m + 38*m**5 + 76*m**2 - 40*m**5 = 0 for m.
1, 2
Let z(x) be the first derivative of -x**4/20 - x**3/15 + 2*x**2/5 + 4*x/5 + 89. Factor z(o).
-(o - 2)*(o + 1)*(o + 2)/5
Let t(u) be the third derivative of u**8/1680 - u**7/210 - u**6/100 + 11*u**5/150 + 37*u**4/120 + u**3/2 + 21*u**2 - 7*u. Factor t(b).
(b - 5)*(b - 3)*(b + 1)**3/5
Let h(d) = -d**2 + 10*d. Let g be ((-10)/(-8))/((-3)/(-72)*3). Let j be h(g). Factor j*r - 2/11*r**4 - 4/11*r**3 + 0 - 2/11*r**2.
-2*r**2*(r + 1)**2/11
Let z(f) be the first derivative of 5*f**4/6 + f**3 - 2*f**2 - 29*f - 7. Let i(h) be the first derivative of z(h). Find c, given that i(c) = 0.
-1, 2/5
Let q(y) = y**3. Let h(m) = 6*m**3 - 2*m**2 - m. Suppose -5*d - z = 170, -4*d + 25 = -5*d - 2*z. Let g(c) = d*q(c) + 5*h(c). What is v in g(v) = 0?
-1, 0
Let i = -193/24 + 67/8. Determine d so that 2 + i*d**2 + 5/3*d = 0.
-3, -2
Let z(k) be the second derivative of k**4/48 - k**3/4 + 9*k**2/8 - 61*k. Factor z(n).
(n - 3)**2/4
Let g(h) be the second derivative of h**6/10 + 9*h**5/10 + h**4 - 3*h**3 - 15*h**2/2 - 32*h. Factor g(r).
3*(r - 1)*(r + 1)**2*(r + 5)
Let j(k) be the second derivative of -2*k**7/105 + 29*k**6/150 - 67*k**5/100 + 17*k**4/20 - 3*k**3/10 + 342*k. What is l in j(l) = 0?
0, 1/4, 1, 3
Let g(q) = q**2 - q + 2. Let l be g(1). Factor 4*m + 2*m**l - 7*m**2 - 4*m.
-5*m**2
Let i(o) be the second derivative of o**4/48 - 10*o**3/3 - 81*o**2/8 - 688*o. Factor i(n).
(n - 81)*(n + 1)/4
Let w be (189/84 - 2/8) + -2. Let s(o) be the second derivative of 0*o**2 + 0 + 1/10*o**5 + w*o**3 - o - 1/3*o**4. Factor s(d).
2*d**2*(d - 2)
Let u(g) = 2*g**2 - 5*g + 4. Let p be u(3). Let o(a) = 3*a**2 + 5*a + 2. Let d(b) = 0*b**2 + 2*b**2 - 2 + 3*b + 4 - 1. Let k(y) = p*d(y) - 5*o(y). Factor k(i).
-(i + 1)*(i + 3)
Let k be 2/(-32) - (-627)/176. Let -5/2*y**2 + k*y - y**5 - 1 + 7/2*y**4 - 5/2*y**3 = 0. Calculate y.
-1, 1/2, 1, 2
Suppose -20/7 - 66/7*d + 2*d**2 - 18/7*d**4 + 90/7*d**3 = 0. Calculate d.
-2/3, -1/3, 1, 5
Find m such that -m**3 - 20 - 3*m - 34*m**2 + 39*m**2 - m**4 + 20 = 0.
-3, 0, 1
Factor -1/6*s**4 + 0 - s**3 + s + 1/6*s**2.
-s*(s - 1)*(s + 1)*(s + 6)/6
Let z = 3/1691 + 6749/8455. Find y, given that 24/5*y + 2/5*y**4 + 72/5 - 22/5*y**2 - z*y**3 = 0.
-2, 3
Let t(p) = 2*p**2 + p - 1. Let n be t(2). Suppose -n = -15*m + 12*m. Factor -2/5*k**5 - 6/5*k**m - 6/5*k**4 + 0*k + 0 - 2/5*k**2.
-2*k**2*(k + 1)**3/5
Let j = -20 - -16. Let v be j/(-22) - (-435)/330. Suppose v*b**4 - 3/2*b + 0 - 3/2*b**2 + 3/2*b**3 = 0. Calculate b.
-1, 0, 1
Suppose 32 = -23*r + 39*r. Solve -2/17*y**3 + 4/17*y**r + 0 + 0*y = 0.
0, 2
Let g = 49071908 - 297277619609/6058. Let m = -1/466 - g. Find q, given that 2/13*q**3 - 2/13*q - m + 2/13*q**2 = 0.
-1, 1
Suppose 5*i + 0*m - 5*m - 20 = 0, m = -4*i + 11. Suppose 0 = -8*o + i*o + 60. Factor 8*s**3 + 8*s + 2 + o*s**2 - 3*s**4 + 4*s**4 + s**4.
2*(s + 1)**4
Let j(v) = -265*v**3 - 7585*v**2 - 79330*v - 277805. Let m(c) = 44*c**3 + 1264*c**2 + 13222*c + 46301. Let z(n) = 4*j(n) + 25*m(n). Let z(u) = 0. Calculate u.
-21/2
Let n = -28 - -46. Factor -13*l - 40*l**2 - 2*l + 3*l**3 + 10 - n*l**3.
-5*(l + 1)*(l + 2)*(3*l - 1)
Let a(i) be the first derivative of -i**6/120 - i**5/20 - i**4/8 - i**3/6 + 5*i**2 + 7. Let u(v) be the second derivative of a(v). What is t in u(t) = 0?
-1
Let r(h) = 9*h**3 - 3*h - 18. Let f be ((-12)/(-7))/(6/(-42)). Suppose -3 = -2*k - 1. Let m(g) = g**3 + g**2 + g - 1. Let i(p) = f*m(p) + k*r(p). Factor i(s).
-3*(s + 1)**2*(s + 2)
Let i(q) = 2*q**2 + 2*q + 3. Suppose 5*m - 15 + 0 = 0. Let v(p) = 5 - p - m + 3*p + 2*p**2. Let j(y) = -2*i(y) + 3*v(y). Solve j(s) = 0.
-1, 0
Let c(z) be the third derivative of -z**7/70 - 13*z**6/60 - 11*z**5/12 - 11*z**4/6 - 2*z**3 - 36*z**2 + 2. Factor c(h).
-(h + 1)**2*(h + 6)*(3*h + 2)
Let i be (7/(-14))/(14/(-8)). Let k = 524/119 - 70/17. Find r such that -4/7*r - i - k*r**2 = 0.
-1
Let p(g) = 2*g**3 - g**2 - g + 1. Let x(y) = -y**3 + 12*y**2 + 20*y + 8. Let a(i) = 4*p(i) + 4*x(i). Find u, given that a(u) = 0.
-9, -1
Let z(y) be the first derivative of 9*y**5/35 - 51*y**4/28 + 3*y**3 + 27*y**2/14 + 147. Factor z(b).
3*b*(b - 3)**2*(3*b + 1)/7
Factor -5*v**2 + 70*v - 8*v**2 - 5*v**2 + 24*v**2 - 4*v**2.
2*v*(v + 35)
Let 40/3*o - 11/3*o**2 - 16 + 1/3*o**3 = 0. Calculate o.
3, 4
Let w = -598 + 2994/5. Let y(v) be the first derivative of 4/3*v**3 + 2 + 3/5*v**4 - 4/25*v**5 + 0*v + w*v**2 - 2/15*v**6. Factor y(o).
-4*o*(o - 2)*(o + 1)**3/5
Let f = -41 + 63. Suppose 22 = -2*m + f. Factor m - 4/13*l**2 + 2/13*l**3 + 2/13*l.
2*l*(l - 1)**2/13
Let l = -1394 + 1394. Let i(n) be the first derivative of 13 - 4/3*n**3 + 2*n**5 - 3/2*n**4 + 0*n**2 + l*n. Factor i(b).
2*b**2*(b - 1)*(5*b + 2)
Suppose -2*y = -4*d - 12, -14 + 2 = -5*y + 4*d. Suppose 0 = -2*k - 4*t + 26 - 2, 2*k - 3*t + 4 = y. Factor 2/3*c**k - 2/3*c + 0 + 2*c**2 - 2*c**3.
2*c*(c - 1)**3/3
Let u(g) = -470*g - 895. Let f(o) = o**2 - 235