*4 - 4*o**2 - 8*o + 1. Let w(m) = -4*m**4 - 11*m**2 - 24*m + 5. Let n(r) = u*w(r) + 21*q(r). Factor n(g).
3*(g - 3)*(g + 1)**3
Let z(l) be the first derivative of l**5/120 + l**4/48 - l**3 + l**2 + 72*l + 83. Let g(j) be the second derivative of z(j). Factor g(a).
(a - 3)*(a + 4)/2
Find q, given that 3*q + 1314*q**2 - 1319*q**2 + 17*q = 0.
0, 4
Let w(l) be the first derivative of l**3/3 - 242*l**2 - 485*l + 295. Factor w(m).
(m - 485)*(m + 1)
Let a(p) be the second derivative of p**6/60 - 101*p**5/8 + 501*p**4/4 - 1499*p**3/3 + 998*p**2 - 2*p + 2907. Factor a(i).
(i - 499)*(i - 2)**3/2
Let b = 805 + -790. Factor -7 - 2*a**3 - 4 - 2*a**2 + 3*a + 29 + b*a.
-2*(a - 3)*(a + 1)*(a + 3)
Suppose -9*h - 24 = 3*h. Let a be (-40)/(-48)*(-1)/h. Factor -2/3*v + 1/3 - 1/12*v**3 + a*v**2.
-(v - 2)**2*(v - 1)/12
Let h(l) be the second derivative of 2*l**6/15 - 11*l**5 - 192*l**4 - 2*l - 87. What is n in h(n) = 0?
-9, 0, 64
Let x(t) be the second derivative of t**7/273 - 49*t**6/195 - t**5/130 + 49*t**4/78 - 2*t - 61. Let x(c) = 0. What is c?
-1, 0, 1, 49
Factor 1520 + 841 - 309 - 339*m**2 + 3*m**3 - 360*m.
3*(m - 114)*(m - 2)*(m + 3)
Let b(w) be the third derivative of 64*w**2 + 0*w**3 + 7/40*w**6 + 0 - 1/70*w**7 + 0*w - 4/5*w**5 + 3/2*w**4. Factor b(q).
-3*q*(q - 3)*(q - 2)**2
Suppose 0 - 1/3*i**4 - 8/3*i**3 + 61/3*i**2 - 52/3*i = 0. What is i?
-13, 0, 1, 4
Suppose 5*d = 4*m - 37, 0 = 3*m + 5*d + 24 - 8. Factor -2*y**2 - y**2 + 44*y**m + 16*y + 59*y**2 + 10*y**4.
2*y*(y + 2)**2*(5*y + 2)
Solve 1/2*p**4 - 972 - 270*p + 141*p**2 + 35/2*p**3 = 0.
-18, -2, 3
Let a(v) be the first derivative of 0*v**4 - 10 + 2/3*v**3 + v - 1/15*v**5 + 4/3*v**2. Factor a(d).
-(d - 3)*(d + 1)**3/3
Let -206*r**2 - 5167*r - 806*r**2 - 567 - 1208*r**2 - 2361 - 701*r - 9*r**3 = 0. Calculate r.
-244, -2, -2/3
Determine x, given that -13/8*x + 57/4 - 1/8*x**2 = 0.
-19, 6
Suppose -23 = c - 21. Let x be (c/(-8))/((-15)/2160*-12). Factor -6/19*t + 0*t**2 + 2/19*t**x - 4/19.
2*(t - 2)*(t + 1)**2/19
Let p = 1702 - 2399. Let n = -693 - p. Suppose 2/7*h**5 + 4/7*h**n + 0 + 0*h**3 - 2/7*h - 4/7*h**2 = 0. Calculate h.
-1, 0, 1
Let g(v) = 17*v**2 + 253*v + 43. Let q(l) = 25*l**2 + 378*l + 64. Let h(m) = 48*m + 280. Let y be h(-6). Let p(f) = y*g(f) + 5*q(f). Find d such that p(d) = 0.
-12, -2/11
Let w(s) = -7*s**2 - 1178*s - 189. Let c(n) = 3*n**2 + 589*n + 96. Let j(l) = 7*c(l) + 4*w(l). Solve j(q) = 0 for q.
-84, -1/7
Suppose 65*p - 5/2*p**2 - 300 = 0. What is p?
6, 20
Let p = -47715553/40595 + 38/8119. Let i = -1175 - p. Factor 0 + i*r**2 + 8/5*r.
2*r*(r + 4)/5
Let w be ((-390)/12 + 0)*624/(-10). Let w + 141*m**2 - 47*m - 109*m - 138*m**2 = 0. Calculate m.
26
Let j(n) = -n**3 + 2*n**2 + 2*n. Let b(h) = -16*h**3 - 308*h**2 - 2076*h - 660. Let z(w) = -b(w) + 4*j(w). Factor z(y).
4*(y + 11)*(y + 15)*(3*y + 1)
Find j such that 0*j - 3/2*j**4 + 0 + 3*j**2 - 3/2*j**3 = 0.
-2, 0, 1
Suppose -2*b + 2*s = -14 - 38, 5*b - 146 = s. Factor -f**5 + 0*f**5 + 40*f**3 - 50*f - 4*f**5 - b*f.
-5*f*(f - 2)**2*(f + 2)**2
Suppose 4*o + 3*b = 8, 0 = o - 6*b + 4*b - 2. Suppose -58 = 5*a + o*t - 1668, 3*t = 15. Determine k, given that -3*k + a*k**2 - k + 3 - 319*k**2 = 0.
1, 3
What is d in -624240*d**3 - 1654*d**4 - 74*d**5 + 69*d**5 - 42448320*d**2 - 1406*d**4 = 0?
-204, 0
Solve -35/6 - 18*x**2 - 19/3*x**3 - 1/6*x**4 - 53/3*x = 0 for x.
-35, -1
Let d be (-44 - 45458/(-1020))*4/17. Factor -d*f**3 + 0 - 2/15*f**4 + 2/15*f + 2/15*f**2.
-2*f*(f - 1)*(f + 1)**2/15
Let z(i) be the third derivative of -i**11/665280 - i**10/151200 - i**9/120960 + 89*i**5/60 + 49*i**2. Let r(g) be the third derivative of z(g). Factor r(d).
-d**3*(d + 1)**2/2
Let d = 171 + -154. Factor -4*g**3 - 2*g**4 + 8 - 10*g**2 - 56*g - 1 + 49*g**2 - g**2 + d.
-2*(g - 2)*(g - 1)**2*(g + 6)
Let t be ((-375)/63 - -6)/(70/735). What is x in 1/2*x - 1/6*x**2 + 1/3 - 1/6*x**4 - t*x**3 = 0?
-2, -1, 1
Let c(p) be the second derivative of -5*p**4/12 - 1130*p**3/3 + 4028*p. Factor c(s).
-5*s*(s + 452)
Let l(n) be the third derivative of -5*n**8/168 + 38*n**7/105 - 67*n**6/60 - 19*n**5/15 + 6*n**4 + 11519*n**2. What is r in l(r) = 0?
-1, 0, 1, 18/5, 4
Let u(n) be the second derivative of -5/32*n**4 + 0*n**2 + 0 - 21/160*n**5 + 96*n + 1/8*n**3. Factor u(m).
-3*m*(m + 1)*(7*m - 2)/8
Find k, given that 192 - 30*k - 7*k**2 + 110*k - 4*k**3 - 5*k**2 - 4*k**2 = 0.
-6, -2, 4
Let l(n) be the second derivative of n**4/78 + 1480*n**3/39 + 547600*n**2/13 - 1765*n. Suppose l(a) = 0. Calculate a.
-740
Let f be (12/(-56))/(204 + -212 + 52/7). Factor 0 + 27/4*m + f*m**2.
3*m*(m + 18)/8
Suppose -5*a = 225 - 250. Suppose -11*r**2 + 23*r**2 - 8*r**2 - a*r - 80 + r = 0. What is r?
-4, 5
Let x(b) = -10*b**2 - 9335*b + 9255. Let l(j) = -19*j**2 - 18651*j + 18508. Let a(r) = -5*l(r) + 9*x(r). Factor a(m).
5*(m - 1)*(m + 1849)
What is n in -136/13*n**3 + 16/13*n**4 + 422/13*n - 20 - 44/13*n**2 + 2/13*n**5 = 0?
-13, -2, 1, 5
Let h be (-34)/(-9) + 45936/37584. Factor 7/2*o + o**3 - o**4 + 4*o**2 + 1 - 1/2*o**h.
-(o - 2)*(o + 1)**4/2
Factor 2/3*z**2 - 8*z + 64/3.
2*(z - 8)*(z - 4)/3
Let f(m) be the third derivative of -m**5/540 + 13*m**4/216 - 20*m**3/27 - 43*m**2 - 8*m. Find v such that f(v) = 0.
5, 8
Let w be 60/((-27)/(-63) - 15/(-14)). Let s be ((-2)/(-16))/(2*5/w). Factor -s*x**2 + 0 + 2*x.
-x*(x - 4)/2
Let 126*z**3 - 444 - 1028*z**2 + 900*z - 3*z**4 + 86*z**2 + 363*z**2 = 0. Calculate z.
1, 2, 37
Factor -4765046 - 12051*n - 704*n + 435*n + 12354166 + 5*n**2.
5*(n - 1232)**2
Let r = 3 - 11. Let a be ((-20)/r)/(10/12). Factor -96*i**3 + 24*i**2 - 67*i**4 - 4*i + a*i**4 - 60*i**2.
-4*i*(i + 1)*(4*i + 1)**2
Let c(p) be the second derivative of -p**4/3 + 80*p**3/3 - 672*p**2 + 5630*p. Suppose c(n) = 0. Calculate n.
12, 28
Let h(s) be the second derivative of 4*s + 2 - 8*s**2 + 1/5*s**5 + 1/6*s**6 - 4/3*s**4 + 1/42*s**7 - 16/3*s**3. Find x such that h(x) = 0.
-2, -1, 2
Let i be -3 + 7 + (-8)/(-4). Factor 4*n**2 + n + 2*n + 35 - 59 - i*n - n.
4*(n - 3)*(n + 2)
Let o = -355/7 + 11729/231. Let j(a) be the first derivative of 10/11*a**2 - o*a**3 - 50/11*a - 36. Suppose j(t) = 0. Calculate t.
5
Let y(p) = -6*p**2 - 319*p + 5654. Let c be y(14). Factor 0 + 1/2*q**3 - 7*q**2 - c*q + 1/2*q**4.
q*(q - 4)*(q + 2)*(q + 3)/2
Let r(c) = c**3 + 132*c**2 + 2501*c - 654. Let i be r(-109). Let a be ((-4)/6)/(1/(-3)). Factor -2/3*m**a + 0*m - 3*m**3 + i.
-m**2*(9*m + 2)/3
Suppose 598*h + 96 = 303*h + 319*h. Let u(y) be the first derivative of 0*y - y**5 - 45 + 15*y**2 + 35/8*y**h - 5/12*y**6 + 50/3*y**3. Solve u(s) = 0 for s.
-2, -1, 0, 3
Let j(b) be the first derivative of -1/3*b**4 + 0*b**2 + 0*b + 180 - 16/9*b**3. Solve j(x) = 0 for x.
-4, 0
Let x(b) be the first derivative of 15/2*b**6 - 88*b**2 + 242/5*b**5 - 11 + 94*b**4 + 32*b + 16*b**3. Determine z so that x(z) = 0.
-2, 2/9, 2/5
Let y(i) be the second derivative of i**7/84 + 11*i**6/30 + 137*i**5/40 + 34*i**4/3 + 13*i**3 - 337*i + 2. Let y(l) = 0. Calculate l.
-13, -6, -2, -1, 0
Let g(v) be the first derivative of 0*v**4 - 1/300*v**5 - 10 - 9/2*v**2 + 0*v**3 + 0*v. Let n(s) be the second derivative of g(s). Factor n(h).
-h**2/5
Let x be ((-25)/20)/5 - 2/(-4). Let p = -1775/8 + 222. Let -p + x*k - 1/8*k**2 = 0. What is k?
1
Let y = -9 - -13. Suppose 15804*h**4 - 2*h**5 + 70*h**2 - 240*h**3 + 245*h - 3*h**5 - 15874*h**y = 0. What is h?
-7, -1, 0, 1
Let p(z) = 11*z**2 - 2*z - 26. Let j be p(-5). Suppose 178 - 790 + 99*b - 31*b - j - 285 - b**2 = 0. Calculate b.
34
Factor 2/15*y**3 + 2/3*y - 16/15*y**2 + 28/15.
2*(y - 7)*(y - 2)*(y + 1)/15
Let j = 80 - 73. Suppose 2*d + y + j = 3*d, 17 = 2*d + y. Find z, given that -z + 0*z + 2*z + d*z + 6 + 3*z**2 = 0.
-2, -1
Let h(o) be the first derivative of 5/2*o**2 - 72 + 10*o + 2*o**5 - 20/3*o**3 - 5/2*o**4 + 5/6*o**6. Find n, given that h(n) = 0.
-2, -1, 1
Let h be 9 - 3 - 34/80*14. Let s(k) be the first derivative of h*k**5 + 0*k + 0*k**4 + 1/4*k**2 - 1/4*k**3 + 11. Solve s(o) = 0 for o.
-2, 0, 1
Let t(k) be the first derivative of 2*k**7/105 + 2*k**6/75 - 3*k**5/25 - k**4/3 - 4*k**3/15 - 8*k - 16. Let b(o) be the first derivative of t(o). Factor b(r).
4*r*(r - 2)*(r + 1)**3/5
Let w be (-1)/(5/(-25)*1). Let m(f) = f**4 - f**2 + f - 1. Let g(p) = -1734*p**4 + 432*p**3 - 30*p**2 - 5*p + 6. Let r(v) = w*g(v) +