(j) be the second derivative of j**7/14 - 86*j**6/5 + 1023*j**5/20 - 85*j**4/2 - 8*j - 296. Solve f(i) = 0.
0, 1, 170
Let m(l) be the second derivative of -l**5/20 - 5*l**4/6 - 955*l. Factor m(c).
-c**2*(c + 10)
Let v = -487827/5 + 97567. Factor -2/5*m**5 - 7/5*m**4 + 1/5 - v*m**3 - 2/5*m**2 + 2/5*m.
-(m + 1)**4*(2*m - 1)/5
Let o(z) be the third derivative of z**7/105 + 2*z**6/5 - 26*z**5/15 + 323*z**2. Factor o(q).
2*q**2*(q - 2)*(q + 26)
Let m be ((-69)/5)/(30/(-200)). Factor m*i + 3*i**2 + 82*i - 62*i - 2*i**2 + i**2 + 1568.
2*(i + 28)**2
Let z = -139 + 157. Factor 0*d**2 + 6*d**4 - 5*d**3 - z*d**2 + 212 + 2*d**3 - 206 - 3*d.
3*(d - 2)*(d + 1)**2*(2*d - 1)
Suppose 0*a = a. Let r be -9*(38 - 40)*(-1)/(-207). Factor 0 - 4/23*s**4 + a*s**3 - r*s**5 + 2/23*s + 4/23*s**2.
-2*s*(s - 1)*(s + 1)**3/23
Let m(u) = -204*u**2 + 426*u + 804. Let a(o) = -41*o**2 + 84*o + 161. Let b(k) = 29*a(k) - 6*m(k). Let b(i) = 0. What is i?
-1, 31/7
Let k(p) be the second derivative of -2*p**7/105 - 4*p**6/5 - 3*p**5 - 11*p**4/3 - 50*p**2 - 15*p. Let u(a) be the first derivative of k(a). Factor u(d).
-4*d*(d + 1)**2*(d + 22)
Let p(l) be the third derivative of 1/8*l**4 + 4*l**2 + 0 + 1/20*l**5 + 0*l**3 + 3*l. Factor p(a).
3*a*(a + 1)
Let y(h) = -3*h - 50. Let u be y(-16). Let w be -1*(399/(-630) - u/(-12)). Factor -2/5*l**2 + w*l + 6/5.
-2*(l - 3)*(l + 1)/5
Let q(w) be the second derivative of w**4/9 - 2692*w**3/9 + 905858*w**2/3 - 2154*w. Determine t so that q(t) = 0.
673
Let l(x) be the first derivative of -2*x**5/65 + 87*x**4/26 - 340*x**3/39 + 4474. Suppose l(r) = 0. Calculate r.
0, 2, 85
Let g(i) be the second derivative of i**5/20 + 5*i**4/12 + 4*i**3/3 + 2*i**2 - 977*i. Suppose g(u) = 0. Calculate u.
-2, -1
Let p(g) be the first derivative of g**5 - 35*g**4/2 + 265*g**3/3 - 100*g**2 - 1492. Factor p(s).
5*s*(s - 8)*(s - 5)*(s - 1)
Let p(z) be the third derivative of -7*z**4/8 - 10*z**3 - 64*z**2. Let g be p(-3). Suppose -3/2 - 5/2*v + 1/2*v**g - 1/2*v**2 = 0. What is v?
-1, 3
Let b be (0 - (-205)/70) + (408/(-112))/(-51). Factor -18000*q - 1/6*q**4 - 900*q**2 - 135000 - 20*q**b.
-(q + 30)**4/6
Suppose 330*w - 238 = 328*w. What is n in w*n**2 - 10*n**3 + 5*n**5 + 5*n**4 - 119*n**2 = 0?
-2, 0, 1
Factor 3*b**3 - 5232*b**2 - 28232 + 28232 - 5235*b.
3*b*(b - 1745)*(b + 1)
Let r be 5 + (7 - -8)/(-5). Factor -17*d**r + 8*d**2 + 7*d**2 - 5*d**3 + 12*d**2 - 5*d.
-5*d*(d - 1)**2
Let b(j) be the second derivative of -26*j**5/25 - 7*j**4/30 + 37*j**3/15 - 8*j**2/5 + 3129*j - 2. Find q such that b(q) = 0.
-1, 1/4, 8/13
Suppose 0 = 9*a + 4*j - 54, 49 = 2*a - 38*j + 43*j. Let 0*n + 12/5*n**a + 0 - 2/5*n**4 + 2*n**3 = 0. What is n?
-1, 0, 6
Suppose -7*b + 11*b = 176. Let q = b - 42. Find l, given that 26*l**3 - q + 15*l**5 + 2 - 18*l**4 - 23*l**3 = 0.
0, 1/5, 1
Let f be ((-45)/6)/5*-2. Suppose 0*x**4 + 5*x**4 + 3*x**3 + 0*x**f = 0. Calculate x.
-3/5, 0
Let s(y) be the second derivative of 2 + 15*y - 42*y**2 + 9/4*y**4 + 62*y**3. Factor s(a).
3*(a + 14)*(9*a - 2)
Suppose -5*x + 5*s + 77 = -8, 27 = -3*x - 3*s. Determine i, given that 0*i + 0 + 1/11*i**x + 4/11*i**2 + 4/11*i**3 = 0.
-2, 0
Suppose 148/9*z**2 + 874/9*z - 308/9 + 2/3*z**3 = 0. Calculate z.
-14, -11, 1/3
Let b = 465/2 + -225. Let i = -48020 - -48022. Factor 12 - 3/2*v**4 - b*v**3 + 6*v - 9*v**i.
-3*(v - 1)*(v + 2)**3/2
Factor -319*i - 280 + 463*i + 295*i**2 - 2*i**3 - 157*i**2.
-2*(i - 70)*(i - 1)*(i + 2)
Let j(i) be the first derivative of i**3 - 591*i**2/2 - 594*i - 5569. Factor j(s).
3*(s - 198)*(s + 1)
Let h(a) be the third derivative of -a**5 + 41/9*a**4 - 1/315*a**7 + 0*a + 6 + 19/180*a**6 - 5*a**2 - 104/9*a**3. Let h(z) = 0. Calculate z.
2, 13
Let s(t) be the second derivative of t**6/60 - 9*t**5/10 + 29*t**4/24 + 35*t**3/2 + 3*t + 60. Suppose s(n) = 0. Calculate n.
-2, 0, 3, 35
Factor 2/7*a**3 + 804/7 - 804/7*a**2 - 2/7*a.
2*(a - 402)*(a - 1)*(a + 1)/7
Solve -212/5*r + 20*r**2 + 108/5 + 4/5*r**3 = 0.
-27, 1
Let d(z) = 50*z - 5247. Let k be d(105). Determine b, given that k - 25/4*b - 1/4*b**4 + 1/4*b**3 + 13/4*b**2 = 0.
-4, 1, 3
Suppose 3*u - 5*g + 10 = 0, 15 = 3*g - 0. Suppose -2*t + 4*t = u*l + 158, -5*l = 5*t - 395. Factor 80*o**5 + o**4 - t*o**5 + o**2 + 2*o**4 + 3*o**3.
o**2*(o + 1)**3
Factor 6*w**2 + 45*w**2 + 89*w**2 + 64 + 560 + 4*w**3 - 608*w.
4*(w - 2)**2*(w + 39)
Let y(c) be the first derivative of 5/4*c**4 - 197 + 0*c + 125*c**2 + 45*c**3. Let y(z) = 0. What is z?
-25, -2, 0
Let d(i) = -i**2 + 1176*i - 44343. Let r be d(39). Factor r + 80/3*x - 4/3*x**2.
-4*x*(x - 20)/3
Let p(r) be the third derivative of r**6/720 - 44*r**5/45 + 31325*r**4/144 - 30625*r**3/18 + 64*r**2 + 1. Factor p(z).
(z - 175)**2*(z - 2)/6
Let 25*k + 35 + 45*k - 41 + 5*k**2 - 729 = 0. Calculate k.
-21, 7
Let z = -588 + 591. Factor -203*q - 12*q**z - 8*q**3 + 20*q**2 + 203*q + 5*q**4 - 5*q**2.
5*q**2*(q - 3)*(q - 1)
Let s(v) be the second derivative of v**5/80 - 85*v**4/12 + 337*v**3/6 - 168*v**2 + 13*v - 47. Suppose s(z) = 0. What is z?
2, 336
Let x(n) = 3*n**2. Let l(b) = b**3 - 81*b + 1. Let p be l(9). Let i(w) = 6*w**2 + 57*w - 54. Let c(y) = p*i(y) - 3*x(y). Determine t, given that c(t) = 0.
1, 18
Let h(c) be the first derivative of 2*c**6/21 + 23*c**5/35 + 15*c**4/14 - 3*c**3/7 - 1136. Determine g, given that h(g) = 0.
-3, 0, 1/4
Let y(m) = 10*m - 88. Suppose -2*i + 0*w = 5*w - 8, i - w = 11. Let c be y(i). Determine o so that 0 + 1/2*o**3 + o**c + 1/2*o = 0.
-1, 0
Let t(h) be the first derivative of -h**4 + 123*h**3 - 4278*h**2 + 2116*h + 3173. Determine f, given that t(f) = 0.
1/4, 46
Let a be 56274/37433 + -2 + (-400)/(-205). Factor -2*o**3 + 0 + 8/11*o + a*o**2 + 6/11*o**4.
2*o*(o - 2)**2*(3*o + 1)/11
Let w(t) be the third derivative of 1/8*t**6 - 59/20*t**5 + 0*t - 1/560*t**7 + 233*t**2 - 81*t**3 + 0 + 45/2*t**4. Find y, given that w(y) = 0.
2, 18
Solve -15*t - 9/2*t**5 - 6*t**2 + 33/4*t**4 - 9/4 + 39/2*t**3 = 0.
-1, -1/6, 1, 3
Suppose -3*c - 2*i + 8 = 0, 4 + 2 = 2*c + i. Find t, given that 240*t**c + 240*t**4 - 484*t**4 - 24*t + 28*t**2 = 0.
-3, 0, 1, 2
Let p(n) be the third derivative of -n**7/1050 + 43*n**6/200 + 131*n**5/150 + 4*n**2 + 138*n. Let p(a) = 0. What is a?
-2, 0, 131
Let v(j) be the second derivative of -j**4/4 + 47*j**3/2 - 198*j**2 - 14*j - 36. Factor v(n).
-3*(n - 44)*(n - 3)
Let p(l) = l**3 + 5*l**2 + 3*l - 3. Let w be p(-3). Suppose -10*k = -w*k - 48. Factor -8*o - 7*o**2 - k*o + 2*o**2 + 0*o**2.
-5*o*(o + 4)
Let u(m) be the third derivative of m**6/420 - m**5/35 - m**4/84 + 10*m**3/7 - 1085*m**2. Suppose u(h) = 0. What is h?
-2, 3, 5
Let a be 7/1 + 714/(-68) - (119 + -124). Factor p - 1/2 + a*p**2.
(p + 1)*(3*p - 1)/2
Factor 675*w + 57 + 57 - 104 - 685*w**2.
-5*(w - 1)*(137*w + 2)
Let d(t) be the first derivative of -4*t**5/25 - 1612*t**4/5 - 1299272*t**3/5 - 523606616*t**2/5 - 105506733124*t/5 + 70. Factor d(b).
-4*(b + 403)**4/5
Let f(b) be the first derivative of 0*b**2 + 0*b**3 - 1/20*b**5 + 3 - 5/12*b**4 + 7*b. Let j(r) be the first derivative of f(r). Find i such that j(i) = 0.
-5, 0
Let w(x) be the second derivative of 1/50*x**5 - 53/60*x**4 - 11*x + 5/6*x**3 - 4 + 13/5*x**2. Factor w(p).
(p - 26)*(p - 1)*(2*p + 1)/5
Let z be -7 + (3460/5190)/(((-20)/18)/1)*-15. Let 0 + 1/5*s**4 + 4/5*s**3 + 2/5*s + s**z = 0. What is s?
-2, -1, 0
Suppose 5*k = p - 14, -5*k = -63*p + 66*p - 2. Let y(v) = -6*v**2 - 17*v - 5. Let t(s) = -11*s**2 - 34*s - 14. Let a(f) = p*t(f) - 7*y(f). Factor a(u).
-(u + 7)*(2*u + 3)
Let w(v) be the third derivative of 0*v**5 + 0 + 1/784*v**8 - 1/98*v**7 + 0*v**4 - 14*v**2 + 0*v + 0*v**6 + 0*v**3. Factor w(o).
3*o**4*(o - 5)/7
Factor -5/8*z**2 + 1/4*z + 0 - 1/8*z**4 + 1/2*z**3.
-z*(z - 2)*(z - 1)**2/8
Let x(l) be the third derivative of l**6/480 - l**5/160 - l**4/16 + 39*l**3/2 - 10*l**2 - 3. Let g(c) be the first derivative of x(c). What is f in g(f) = 0?
-1, 2
Factor 115/7*h + 38/7 - 4/7*h**3 - 149/7*h**2.
-(h - 1)*(h + 38)*(4*h + 1)/7
Let h = 241547 - 241544. Determine l so that -8 + 28/3*l + 14/3*l**2 + 1/3*l**5 - 4/3*l**4 - 5*l**h = 0.
-2, 1, 6
Let g = 25033 - 125164/5. Determine x, given that g*x**2 + 6/5 - 7/5*x = 0.
1, 6
Find g such that 532/17 - 270/17*g + 2/17*g**2 = 0.
2, 133
Let k = -3158 - -3161. Let m(n) be the first derivative of n**k - 3/2*n**2 + 7 + 0*n