be the third derivative of 1/14*a**4 + 0*a**3 - 1/784*a**8 + 0*a + 118*a**2 + 0 - 1/98*a**7 + 1/28*a**5 - 3/280*a**6. What is p in k(p) = 0?
-4, -1, 0, 1
Let f(u) be the second derivative of 9*u**5/4 + 17*u**4/4 + u**3/2 - 3*u**2/2 + 2*u + 604. Factor f(a).
3*(a + 1)*(3*a + 1)*(5*a - 1)
Let p(k) be the second derivative of -k**5/20 - 25*k**4/6 + 52*k**3/3 + 479*k. Factor p(h).
-h*(h - 2)*(h + 52)
Let s(f) be the third derivative of -f**7/105 + 179*f**6/360 + 827*f**5/180 + 97*f**4/9 + 34*f**3/3 - 540*f**2. Suppose s(n) = 0. Calculate n.
-3, -2/3, -1/2, 34
Suppose 1300*k - 1297*k + 6 = 3*t, 4 = 3*k + 2*t. Suppose 3/5*o**3 + k + 2/5*o - 88/5*o**4 + 13/5*o**2 - 16*o**5 = 0. Calculate o.
-1, -1/4, 0, 2/5
Let i(h) = -h**3 - 42*h**2 + 590*h - 2740. Let y(c) = -8*c**3 - 294*c**2 + 4131*c - 19178. Let z(d) = 15*i(d) - 2*y(d). Factor z(o).
(o - 14)**3
Let v = -1381 - -1381. Let c(f) be the second derivative of v - 1/2*f**4 + 0*f**2 + 1/2*f**3 + f + 3/20*f**5. Solve c(k) = 0.
0, 1
Let j be (-28)/((-9)/(-21) + (-40)/28). Suppose -j*s = 27*s. Determine h so that -2/17*h**2 + 2/17 + s*h = 0.
-1, 1
Let o(c) be the third derivative of c**9/20160 + c**8/6720 - c**5/15 + c**3/3 + 61*c**2. Let w(y) be the third derivative of o(y). Let w(s) = 0. What is s?
-1, 0
Let b(o) be the first derivative of 484*o**5/5 - 275*o**4 - 8*o**3 + 256*o**2 + 128*o + 3184. Determine j, given that b(j) = 0.
-4/11, 1, 2
Factor -876/5 - 158/5*k + 2/5*k**3 + 144/5*k**2.
2*(k - 3)*(k + 2)*(k + 73)/5
Suppose 0*i + 2*i - 4 = 0. Suppose -25 = -5*g + 3*w, 19 = -5*g + 7*g - 3*w. Factor -6*l + 5*l + 12*l**g - 9*l - 3*l**3 - i*l.
-3*l*(l - 2)**2
Factor -89787/7 - 3/7*u**2 - 1038/7*u.
-3*(u + 173)**2/7
Let n(w) be the first derivative of -1/16*w**4 - 15/8*w**2 - 3/4*w**3 + 136 - 7/4*w. Factor n(q).
-(q + 1)**2*(q + 7)/4
Let x = 65914/7 + -9575. Let z = x + 159. Find v, given that -2/7*v - 2/7 + 2/7*v**3 + z*v**2 = 0.
-1, 1
Let o(j) be the first derivative of 70 + 1/16*j**4 + 1/12*j**3 - 1/8*j**2 - 1/20*j**5 + 0*j. Factor o(x).
-x*(x - 1)**2*(x + 1)/4
Let y be ((-4)/(-36))/(27/18 + (-46)/36). Let m(n) be the second derivative of 1/2*n**4 + y*n**3 + 3/20*n**5 - 3*n + 0 + 0*n**2. Factor m(k).
3*k*(k + 1)**2
Let p = -105897 + 529499/5. What is x in -2/5*x**4 - 28/5*x**2 + 16/5*x + p*x**3 + 0 = 0?
0, 1, 2, 4
Let j be ((-636)/265)/((-18)/20). Let h(x) be the first derivative of 4/15*x**5 + 8/3*x**2 - 1/3*x**4 + 32/3*x - j*x**3 - 8. What is o in h(o) = 0?
-2, -1, 2
Let t(z) = 32*z**3 + 41*z**2 - 120*z - 163. Let h(b) = -11*b**3 - 13*b**2 + 40*b + 54. Let n(m) = -17*h(m) - 6*t(m). Factor n(f).
-5*(f - 2)*(f + 1)*(f + 6)
Let z = 517759 + -517726. What is f in -z*f - 135/4 + 3/4*f**2 = 0?
-1, 45
Let p = -46 + 52. Let u(i) be the second derivative of 1/40*i**p + 0*i**2 + 14*i + 0 + 3/80*i**5 - 1/8*i**4 + 0*i**3. Factor u(a).
3*a**2*(a - 1)*(a + 2)/4
Let l(k) be the first derivative of -4 + 6/7*k**2 - 2/21*k**3 + 0*k. Factor l(i).
-2*i*(i - 6)/7
Let f = 3135 + -3135. Let t(y) be the first derivative of 1/5*y**5 - 5/16*y**4 + f*y**2 + 1/6*y**3 - 1/24*y**6 + 0*y + 1. Solve t(l) = 0.
0, 1, 2
Let j(t) = -t**3 - 35*t**2 - 34*t + 2. Let i be j(-34). Suppose 0 = 2*f - 5*b - 5, 7*f - 12*f = -i*b - 2. Factor w**3 + 0*w**2 + 3/2*w**4 + 0*w + 1/2*w**5 + f.
w**3*(w + 1)*(w + 2)/2
Let s(r) be the first derivative of -2*r**5/15 - 403*r**4/6 - 35632*r**3/3 - 2238016*r**2/3 + 25154560*r/3 - 403. Factor s(p).
-2*(p - 5)*(p + 136)**3/3
Factor 8/3*f**3 - 5*f + 13/6*f**2 + 1/6*f**4 + 0.
f*(f - 1)*(f + 2)*(f + 15)/6
Let b(c) = 330*c**2 - 230*c - 40. Let a(n) = -33*n - 4*n**2 - 6 + 41*n**2 + 10*n**2. Let i(k) = -15*a(k) + 2*b(k). Suppose i(z) = 0. What is z?
-2/9, 1
Let b = 193/56 + -23/8. Let h = -4727 + 4727. Factor 0*n + b*n**2 + h - 2*n**4 - 10/7*n**3.
-2*n**2*(n + 1)*(7*n - 2)/7
Let k(v) = 6*v + 0*v + 4*v + 6*v - 5 - 15*v. Let y(u) = -5*u**2 + 551*u - 15130. Let b(x) = k(x) - y(x). Solve b(n) = 0.
55
Suppose 9*s - 10*s + 3 = 0. Factor 7*g**4 - s*g**4 + 8*g**2 + 11*g**3 - 23*g**3.
4*g**2*(g - 2)*(g - 1)
What is m in -3/4*m**2 + 90 + 57/4*m = 0?
-5, 24
Let q(o) be the first derivative of -o**7/70 + 9*o**5/100 - o**4/10 + 28*o - 27. Let f(r) be the first derivative of q(r). Factor f(s).
-3*s**2*(s - 1)**2*(s + 2)/5
Suppose -17 = -5*r - 2. Suppose r*o = 1 + 5. Factor 14*u - 12*u**2 + o*u + 8 + 2*u**2.
-2*(u - 2)*(5*u + 2)
Let u be ((-156)/24 + 6)*0. Let x(z) be the second derivative of -1/8*z**3 + u + 1/4*z**2 + 1/48*z**4 + 11*z. Factor x(d).
(d - 2)*(d - 1)/4
Let j = -1799/83 - 296943/415. Let t = 738 + j. What is h in t*h**3 - 4/5*h**4 + 8/5*h**2 + 0*h + 0 = 0?
-1, 0, 2
What is j in -13500/7*j + 84375/7 + 20/7*j**3 + 450/7*j**2 - 1/7*j**4 = 0?
-25, 15
Let p be (-6)/(((-2)/(-4))/(3/(-12))). Let z be p + (-5 - -3 - -8). Factor z*g**2 + 0 - 13*g**2 + 0.
-4*g**2
Let a(g) be the first derivative of 3*g**4/16 - 425*g**3/3 - 2271*g**2/8 - 142*g + 3249. Determine o, given that a(o) = 0.
-1, -1/3, 568
Let k be (2*(-75)/(-108))/((-35)/(-40)). Let j = k - 122/315. Let 0*u**3 - 3/5*u**4 - 3/5 + j*u**2 + 0*u = 0. What is u?
-1, 1
Let -30/17*d - 2/17*d**3 + 18/17 + 14/17*d**2 = 0. What is d?
1, 3
Let q = -3340 + 3342. Let x(o) be the first derivative of 1/6*o**q - 9 - 1/27*o**3 - 2/9*o. Factor x(h).
-(h - 2)*(h - 1)/9
Suppose -12639 = 11*z - 12672. Factor 0 - 13/2*r**2 + r - r**z + 13/2*r**4.
r*(r - 1)*(r + 1)*(13*r - 2)/2
Let p(w) be the third derivative of w**5/12 - 55*w**4/3 + 145*w**3/2 - 17*w**2 + 46. Factor p(y).
5*(y - 87)*(y - 1)
Let g(l) be the second derivative of l**5/150 + 7*l**4/60 - 51*l**2/2 - l + 12. Let k(u) be the first derivative of g(u). Suppose k(b) = 0. What is b?
-7, 0
Let u(g) be the second derivative of -g**7/210 + g**6/90 - g**3/3 + g**2/2 - g - 3. Let r(w) be the second derivative of u(w). Factor r(x).
-4*x**2*(x - 1)
Let h(v) be the first derivative of 6*v**5 + 317*v**4 + 106*v**3 - 376*v**2 + 168*v - 1519. Find j such that h(j) = 0.
-42, -1, 1/3, 2/5
Let k(g) = -g**2 + g - 15. Let q(y) = -7*y**2 - 18518*y + 17167865. Let z(b) = 12*k(b) - q(b). Factor z(n).
-5*(n - 1853)**2
Determine t so that -20/3 - 26/9*t + 2/9*t**2 = 0.
-2, 15
Suppose -23*p + 28 = -9*p. Determine q, given that -q**2 + 130*q + 6*q**p + 2 + 0 + 843 = 0.
-13
Let p(g) be the second derivative of -10/13*g**4 + 2*g - 12/13*g**3 - 1/273*g**7 - 37/130*g**5 - 2/39*g**6 + 0*g**2 + 0. Factor p(n).
-2*n*(n + 2)**2*(n + 3)**2/13
Let n be 56/42 + (7 + 1)/(55 - 52). Suppose 8/3*q - 1/3*q**n - 2/3*q**3 + 4/3 + q**2 = 0. What is q?
-2, -1, 2
Suppose 0 = -15*s + 38 + 7. Determine b, given that 24*b**4 - s*b**2 + 3*b**3 - 7*b**3 - 23*b**5 - 13*b**5 + 3*b**2 = 0.
0, 1/3
Let a be (2/(-4))/((-11)/44). Determine b so that 100 + 3*b**a - 239 + 115 - 6*b = 0.
-2, 4
Suppose -4*i + 2*i - v + 19 = 0, -4*i + 4*v = -32. Factor 2*d**3 + 2*d**3 + 10*d**3 + 36 - 33*d + 10*d**2 - i*d**3 - 6*d**3.
-(d - 4)*(d - 3)**2
Let y = -931 + 1076. Let s = -143 + y. Factor 1/4*b**3 - 2*b**s + 0 + 0*b.
b**2*(b - 8)/4
Let y(k) be the third derivative of 0*k**3 + 5/24*k**4 - 1/210*k**7 + 0 + 93*k**2 + 1/60*k**5 - 1/24*k**6 + 0*k. Factor y(r).
-r*(r - 1)*(r + 1)*(r + 5)
Suppose 0 = 27*b + 4*b - 124. Let u(h) = 24*h**3 - 179*h**2 + 440*h - 244. Let o(v) = v**3 - v**2 - 1. Let j(t) = b*o(t) - u(t). Let j(a) = 0. What is a?
3/4, 4
Let r = -1886 + 1886. Let m(v) be the third derivative of 0 + 1/120*v**4 - 1/600*v**5 + r*v - 30*v**2 + 1/20*v**3. Factor m(t).
-(t - 3)*(t + 1)/10
Let s(y) be the first derivative of -28*y**3 + 752*y**2 + 144*y - 7440. Factor s(q).
-4*(q - 18)*(21*q + 2)
Let m(r) = r**3 - 6*r**2 + 6*r - 1. Let h be m(5). Let w = 617 + -613. Factor 3*s**4 + 5*s**3 - s**w + s**2 - 7*s**3 - s**h.
s**2*(s - 1)**2
Let t(r) = 96*r**2 + 770*r + 18. Let i be t(-8). Factor -1/3*q**3 - 49/3*q - 14/3*q**i + 0.
-q*(q + 7)**2/3
Suppose -2727 + 5376 + 6480 = 3382*k - 1017. Factor -q**2 + 3/2*q**k - 6*q + 4.
(q - 2)*(q + 2)*(3*q - 2)/2
Let t = 28531 - 28529. Let l(v) be the second derivative of 0*v**t + 17*v + 1/4*v**4 + 3*v**3 + 0. Factor l(d).
3*d*(d + 6)
Let n = 526 - 952. Let w be 12/54 - n/27. Suppose 35 + w*g**2 + 14*g**2 - 10 + 55*g = 0. What is g?
-1, -5/6
Let z(a) = 3*a**2 - 54*a - 2*a**2 + 14 - 29 - 22 - 6*a**2. Let c be z(-10). Factor 1/6*p**2 + 1/6*p**5 + 0 - 1/6*p**c + 0*p - 1/