be the second derivative of -3*v**5/40 - 1017*v**4/4 - 344763*v**3 - 233749314*v**2 + 31*v + 12. Find o, given that n(o) = 0.
-678
Let o(y) be the first derivative of -5*y**3/3 + 375*y**2/2 - 730*y + 148. Suppose o(a) = 0. Calculate a.
2, 73
Factor -106*c - 2/3*c**3 + 50/3*c**2 + 90.
-2*(c - 15)*(c - 9)*(c - 1)/3
Find i such that 0 + 40/11*i + 93/11*i**3 + 138/11*i**2 - 5/11*i**4 = 0.
-1, -2/5, 0, 20
Let j(x) be the second derivative of 16*x**6/15 - 75*x**5 + 1025*x**4/3 - 380*x**3 - 176*x**2 - x - 260. Solve j(k) = 0 for k.
-1/8, 1, 2, 44
Let g(k) = k**3 - 9*k**2 - 3*k - 33. Let w be g(10). Factor -67*t**3 - 35*t**4 - w*t**2 + 322*t**3 - 33*t**2.
-5*t**2*(t - 7)*(7*t - 2)
Let b = 240459 - 240457. Determine a so that -27/2 + 1/2*a**4 + b*a**3 - 18*a - 3*a**2 = 0.
-3, -1, 3
Let h(p) be the second derivative of 1225/6*p**4 + 0 + 4*p**2 - 140/3*p**3 - 56*p. Factor h(x).
2*(35*x - 2)**2
Let f be ((5 - 217/28)*56/(-616))/(-1 + 3). Find r such that f*r**3 + 78*r + 51/8*r**2 - 169/2 = 0.
-26, 1
Factor 5*p - 48*p**2 + 3*p**3 + 975/2 + 1/2*p**4.
(p - 5)**2*(p + 3)*(p + 13)/2
Let b(v) be the first derivative of 16815/2*v**2 + 16245*v + 183 + 5/4*v**4 + 575/3*v**3. Factor b(z).
5*(z + 1)*(z + 57)**2
Let g be (-2)/(-24 + 29 - (-8)/(-1)). Let x(c) be the second derivative of 0 - 15*c + g*c**3 + 1/9*c**4 - 8/3*c**2. Find r, given that x(r) = 0.
-4, 1
Suppose -444 = -219*q - 3*q. Let f(b) be the third derivative of 0*b**3 - 1/660*b**5 + 3*b**q - 5/132*b**4 + 0 + 0*b. Factor f(s).
-s*(s + 10)/11
Factor -4/7*t - 4/7*t**2 + 32.
-4*(t - 7)*(t + 8)/7
Let b(r) be the first derivative of -4*r**3/3 + 8*r**2 + 660*r - 3757. Factor b(f).
-4*(f - 15)*(f + 11)
Let h(l) = -l**2 + 208*l - 428. Let r(y) = 12*y**2 - 2703*y + 5562. Let u(o) = 51*h(o) + 4*r(o). Factor u(i).
-3*(i - 2)*(i + 70)
Determine f so that -11/3*f**5 + 0 + 50/3*f - 295/3*f**4 - 173/3*f**2 - 169*f**3 = 0.
-25, -1, 0, 2/11
Let q = 364/4715 - -2/205. Let c = 562/115 - q. Let c*a + 3/5*a**2 + 48/5 = 0. Calculate a.
-4
Let w(q) be the third derivative of q**2 - 11/3*q**3 - 43/48*q**4 + 1/120*q**5 - 248*q + 0. Factor w(m).
(m - 44)*(m + 1)/2
Let m(k) be the first derivative of -14*k**5/5 - 230*k**4 + 88*k**3 - 290. Solve m(q) = 0.
-66, 0, 2/7
Let m(n) = -63*n**3 + 282*n**2 - 504*n - 1920. Let a(c) = 13*c**3 - 57*c**2 + 101*c + 384. Let j(r) = 24*a(r) + 5*m(r). Find i, given that j(i) = 0.
-2, 8
Let m = -59110 - -295552/5. What is d in 0 + 0*d + 0*d**3 - 2/5*d**4 + m*d**2 = 0?
-1, 0, 1
Let z(a) be the second derivative of -a**4/3 - 142*a**3 + 428*a**2 - 7784*a. Factor z(y).
-4*(y - 1)*(y + 214)
Solve 22512*g + g**5 - 77*g**4 - 98*g**4 - 13*g**3 - 5759*g**2 + 210*g**4 + 28224 = 0.
-24, -1, 7
Let a = 3592 - 3590. Let u(z) be the third derivative of 0*z + 2/35*z**7 + 25*z**a + 0*z**3 + 0*z**4 + 11/120*z**6 + 0 + 1/30*z**5. Find q such that u(q) = 0.
-2/3, -1/4, 0
Let y(o) be the second derivative of -o**5/160 + 15*o**4/64 + o**3 + 56*o**2 - 6*o + 5. Let q(d) be the first derivative of y(d). Factor q(h).
-3*(h - 16)*(h + 1)/8
Let m be ((-288)/(-168))/(2/(-7)) + 5 + 3. Factor 0*x**m + 2/17*x**3 - 2/17*x + 0.
2*x*(x - 1)*(x + 1)/17
Let c(a) = -2*a**2 - a - 1. Suppose -3*f - 2*h + 4*h = 62, 3*h + 57 = -3*f. Let d(y) = 5*y**3 + 90*y**2 - 95*y + 80. Let w(s) = f*c(s) - d(s). Factor w(q).
-5*(q - 1)**2*(q + 12)
Let i(t) be the second derivative of t**5/15 + 2*t**4 - 30*t**3 - 87*t**2 - 227*t. Let s(v) be the first derivative of i(v). Let s(f) = 0. Calculate f.
-15, 3
Let p = 2368 - 2367. Let l(z) be the first derivative of -3/8*z**2 + 0*z - 1/2*z**3 - p - 3/16*z**4. Let l(n) = 0. Calculate n.
-1, 0
Let g(i) be the third derivative of 5*i**8/336 + 3*i**7/28 + i**6/6 - i**5/3 + 43*i**3/3 + 86*i**2. Let l(h) be the first derivative of g(h). Factor l(o).
5*o*(o + 2)**2*(5*o - 2)
Let r(n) = n**3 + 34*n**2 + 492*n. Let x(q) = -2*q**3 - 72*q**2 - 988*q. Let d(b) = 10*r(b) + 6*x(b). Determine o, given that d(o) = 0.
-28, -18, 0
Let m = 164 - 162. What is z in -5*z**3 - 8*z**4 + 12*z**4 - m*z**4 + z**3 = 0?
0, 2
Let t(s) be the second derivative of -s**4/4 + 124*s**3 - 738*s**2 + 1373*s. Suppose t(a) = 0. What is a?
2, 246
Let l(f) be the first derivative of 64*f**2 + 5*f**4 - 2/3*f**6 + 12/5*f**5 - 48*f - 36*f**3 - 121. Find q such that l(q) = 0.
-3, 1, 2
Let n = 238 - 235. Factor -2*w**n - 16*w - 33*w - 7*w + 20*w**2 + 48.
-2*(w - 6)*(w - 2)**2
Suppose 62*h - 50*h = 36. Solve -5*a + 9 + 9 + 4 - 14*a**2 + 2*a**3 - 8 + h*a = 0.
-1, 1, 7
Let z(x) be the first derivative of 2*x**6/15 - 16*x**5/5 + 32*x**4 - 512*x**3/3 + 512*x**2 - 126*x + 57. Let u(w) be the first derivative of z(w). Factor u(h).
4*(h - 4)**4
Let x(c) be the third derivative of -c**4/12 + c**3/6 + 72*c**2. Let a(k) = -k**3 - k**2 + 23*k - 10. Let b(n) = -4*a(n) - 44*x(n). Factor b(o).
4*(o - 1)*(o + 1)**2
Let z = 111188 - 222371/2. Factor -z*c**2 + 4*c + 0 + 1/4*c**3.
c*(c - 8)*(c - 2)/4
Suppose 21*u + 5*u - 248 = -98*u. Suppose 2/9*l**u + 8/3*l + 8 = 0. Calculate l.
-6
Let m be 2310/780 - 42/91. Let q(k) be the first derivative of -1/6*k**3 - 6 - 3/2*k**2 - m*k. Factor q(r).
-(r + 1)*(r + 5)/2
Let v be 7/(44/(-18) - (-5392)/144). Factor 0 - v*u**3 - 12/5*u**2 - 11/5*u.
-u*(u + 1)*(u + 11)/5
Let l(i) be the first derivative of 4/27*i**3 - 1/27*i**6 + 8/45*i**5 + 0*i + 73 + 0*i**2 - 5/18*i**4. Solve l(p) = 0.
0, 1, 2
Factor -3/8*a**4 + 144*a**3 + 0*a - 13824*a**2 + 0.
-3*a**2*(a - 192)**2/8
Factor 5403*l - 9730803/2 - 3/2*l**2.
-3*(l - 1801)**2/2
Let p(k) = -k**4 + k**3 + 3*k. Suppose -168*s + 15 = -171*s. Let u(a) = -120*a**3 - 840*a**2 - 1615*a + 2560. Let y(c) = s*p(c) - u(c). Let y(x) = 0. What is x?
-8, 1
Let u(c) be the third derivative of c**6/360 - 73*c**5/90 - 149*c**4/72 + 49*c**3/3 + 10322*c**2. Factor u(a).
(a - 147)*(a - 1)*(a + 2)/3
Let c be (7281/(-3236))/(2/4*-3). Let m(k) be the second derivative of k**3 + 3/5*k**5 + 0 + 7/4*k**4 - c*k**2 - 23*k. Factor m(o).
3*(o + 1)**2*(4*o - 1)
Suppose 37*w = 57*w - 60. Suppose 11*v**3 - 513*v**2 - 128*v**w + 3*v**4 + 513*v**2 = 0. Calculate v.
0, 39
Suppose 11*i + 75 = 36*i. Factor 16 + 120*f - 30*f**i - 22*f**2 + 36*f**2 + 4 - 19*f**2.
-5*(f - 2)*(f + 2)*(6*f + 1)
Let r be 3/((-18)/52)*(49 - 57). Let q = r + -68. Suppose 1/3*v**3 + 0*v + 4/3*v**2 + 0 - 1/3*v**5 - q*v**4 = 0. Calculate v.
-4, -1, 0, 1
Let i = 32 + -26. Suppose -9*w = -w - 472. Factor -31*d - i - 24*d + 2*d**2 + w*d.
2*(d - 1)*(d + 3)
Let k(x) be the first derivative of -6*x**2 - 3/8*x**4 + 5/2*x**3 + 6*x - 26. Factor k(p).
-3*(p - 2)**2*(p - 1)/2
Suppose -20*v = 4*v - 264. Find y, given that 6*y**2 + 7*y**3 - 10*y**3 + 4*y**2 - 2*y**4 + v*y**3 = 0.
-1, 0, 5
Let z(x) be the second derivative of -21*x**5/20 + 815*x**4/4 + 1636*x**3/7 + 702*x**2/7 + 306*x. What is c in z(c) = 0?
-2/7, 117
Let k(w) = -w**2 - 3*w - 1. Let h(x) = -5*x**2 - 47*x - 179. Let l(u) = 2*h(u) - 6*k(u). Determine c so that l(c) = 0.
-11, -8
Let l(z) = 11*z**2 + 6*z + 7. Let o be l(-3). Solve -2*c + 6*c - 42*c**2 - 2*c**3 - 44*c**2 + o*c**2 = 0 for c.
-1, 0, 2
Suppose -3*a = -3*u + 33, -4*a = 5*u + 99 - 91. Let l(i) be the first derivative of 0*i**2 + 0*i - 1/5*i**u + 1/15*i**6 + 0*i**3 + 26 - 2/25*i**5. Factor l(m).
2*m**3*(m - 2)*(m + 1)/5
Let q(x) be the third derivative of 0 + 1/1140*x**6 - 400/57*x**3 - 168*x**2 + 0*x + 8/285*x**5 + 5/57*x**4. Factor q(t).
2*(t - 4)*(t + 10)**2/19
Let x(n) be the first derivative of n**4/8 + 549*n**3 + 904203*n**2 + 661876596*n - 362. Solve x(d) = 0 for d.
-1098
Let y(o) = -22*o**2 + 17*o + 151. Suppose -2*r + 28 - 34 = 0. Let a(z) = 10*z**2 - 9*z - 75. Let m(q) = r*y(q) - 7*a(q). Find l, given that m(l) = 0.
-3, 6
Suppose 2*b = -0*x - x + 8, -2*x + 14 = 3*b. Suppose -7*w + x = -5*w. Factor 4*m**2 + 0 + 6*m - 6*m**2 + 0*m**w + 8.
-2*(m - 4)*(m + 1)
Find d such that 56*d**2 + 0 - 704/7*d - 20/7*d**3 = 0.
0, 2, 88/5
Determine q so that -49*q**2 + 30 - 6*q**5 - 33*q**3 - 20*q**2 + 3333*q - 3294*q + 39*q**4 = 0.
-1, -1/2, 1, 2, 5
Suppose i = 4*i - 114. Let j be ((-15)/12)/(i/(-32) - -1). Find p, given that 2/3*p**2 - j*p + 50/3 = 0.
5
Let a(o) be the second derivative of o**6/10 - 5*o**5/4 + 9*o**4/4 - 3*o**3/2 + 62*o. Let m(b) = b**2 + b. Let v(l) = 3*a(l) + 6*m(l). Factor v(c).
3*c*(c - 7)*(c - 1)*(3*c - 1)
Let a(d) be the first der