39
Find y, given that 21703*y**4 - 43438*y**4 - 25*y + 85*y**3 + 21720*y**4 - 45*y**2 = 0.
-1/3, 0, 1, 5
Let i(o) be the first derivative of -o**3/3 + 153*o**2 - 608*o - 7164. Factor i(j).
-(j - 304)*(j - 2)
Let n(j) = j + 178. Let h be n(-26). Factor -19 + h*q + 2*q**3 + 57 + 44*q**2 + 106.
2*(q + 2)**2*(q + 18)
Let r(v) = 7*v**3 + 7*v**2 + 7*v - 8. Let j(p) = p**3 + p**2 + p - 1. Let y(b) = -40*j(b) + 5*r(b). Let t(u) = -u. Let i(w) = -15*t(w) + y(w). Factor i(x).
-5*x*(x - 1)*(x + 2)
Let c = -1881 - -65836/35. Let r(l) be the second derivative of 0*l**2 - 19*l + 4/21*l**4 - 11/70*l**5 + 0 + 4/21*l**3 + c*l**6. Factor r(y).
2*y*(y - 2)**2*(3*y + 1)/7
Let j(f) be the first derivative of f**7/14 - f**6/2 + 3*f**5/20 + 21*f**4/4 - 9*f**3 - 215*f + 47. Let n(k) be the first derivative of j(k). Factor n(o).
3*o*(o - 3)**2*(o - 1)*(o + 2)
Let f(q) be the third derivative of 1/120*q**6 + 8*q**2 + 1/2*q**3 + 1/60*q**5 + q + 0 - 5/24*q**4. Factor f(o).
(o - 1)**2*(o + 3)
Let l(q) be the third derivative of -1/8*q**4 + 0 - 17/3*q**3 + 0*q**5 - 10*q**2 + 27/160*q**6 + 0*q. Let p(g) be the first derivative of l(g). Factor p(k).
3*(9*k - 2)*(9*k + 2)/4
Factor 700*t**2 - 4449 + 1569 - 221*t**3 - 181*t**3 + 1480*t + 5*t**4 + 32*t**3.
5*(t - 72)*(t - 2)**2*(t + 2)
Suppose -f = -64*f + 81 + 108. Determine v so that 10/7*v**4 - 2/7*v**2 + 0 + 0*v - 2/7*v**f - 6/7*v**5 = 0.
-1/3, 0, 1
Let t(h) be the second derivative of 1/60*h**5 + 8*h + 3/2*h**3 - 5/12*h**4 - 26*h**2 - 1. Let i(w) be the first derivative of t(w). Factor i(c).
(c - 9)*(c - 1)
Determine w, given that 9/4 + 9/2*w**3 + 3/4*w**5 - 15/4*w**4 + 3/2*w**2 - 21/4*w = 0.
-1, 1, 3
Let s(v) be the first derivative of v**6/27 + 56*v**5/45 + 65*v**4/9 - 232*v**3/9 + 21*v**2 + 2011. Find i such that s(i) = 0.
-21, -9, 0, 1
Factor 32/5*r + 2/5*r**2 + 22.
2*(r + 5)*(r + 11)/5
Let u(w) be the first derivative of w**5/180 - w**4/108 - w**3/54 + w**2/18 - 84*w - 26. Let d(y) be the first derivative of u(y). Factor d(i).
(i - 1)**2*(i + 1)/9
Suppose 2*t - l - 52 = 0, 4*t + l - 104 = -2*l. Suppose -t*h + 15*h + 44 = 0. Factor -194*d**3 - 10*d + 14*d**h + 40*d**2 + 16*d + 10*d + 142*d**3.
2*d*(d - 2)**2*(7*d + 2)
Let y = -202 - -204. Suppose -110 - 2*z**y + 7*z + 114 - 5*z = 0. Calculate z.
-1, 2
Let m(n) be the third derivative of -6*n**2 + 1/3*n**3 - 3 + 1/8*n**4 + 1/60*n**5 + 0*n. Determine d, given that m(d) = 0.
-2, -1
Factor 0 - 1284/7*b + 2/7*b**3 + 638/7*b**2.
2*b*(b - 2)*(b + 321)/7
Factor 0*o - o**3 + 0 - 1/4*o**4 + o**2 + 1/4*o**5.
o**2*(o - 2)*(o - 1)*(o + 2)/4
Let v(l) be the third derivative of -7*l**5/100 + 33*l**4/10 + 139*l**3/10 + 14998*l**2. Factor v(y).
-3*(y + 1)*(7*y - 139)/5
Let c(v) be the first derivative of 0*v**2 - 5/6*v**6 - 15*v**4 + 6*v**5 + 40/3*v**3 - 2 + 0*v. Suppose c(z) = 0. Calculate z.
0, 2
Let o be 10630/(-1063)*(-2)/120. Factor 1/6*f**2 + f + 0 - o*f**3.
-f*(f - 3)*(f + 2)/6
Let v = 1250 + -1231. Let j(l) = 2*l**2 - 37*l - 19. Let i be j(v). Factor -2/5*q + i - 2/5*q**2.
-2*q*(q + 1)/5
Let x be (-1)/(4/(-44)) - (-920)/(-88) - 9684/(-154). Factor x*f + 3/7*f**2 + 16428/7.
3*(f + 74)**2/7
Factor -1329409/7 - 2304/7*d**3 + 2656512/7*d - 1/7*d**4 - 1324798/7*d**2.
-(d - 1)**2*(d + 1153)**2/7
Let x(z) be the third derivative of z**5/24 - 155*z**4/16 + 455*z**3/6 + 10476*z**2. Find f such that x(f) = 0.
2, 91
Let t(n) be the third derivative of 1/120*n**6 + 0*n + 0 + 8/3*n**3 - 7/60*n**5 + 1/3*n**4 + 29*n**2. Factor t(r).
(r - 4)**2*(r + 1)
Let f(l) = -l**3 - 10*l**2 - 23*l + 10. Let p be f(-6). Find b such that 5 - 4*b**4 + 2*b**4 - 2*b**p + 3*b**2 - 7*b**3 + 11*b = 0.
-1, 5/4
Let u(h) = h**2 + 2*h + 8. Suppose 3*b + 3 = -3*v, 3*b = 3*v + v + 4. Let x be u(b). Find t such that -16*t**2 - t**4 + 137*t + x*t**3 - 137*t = 0.
0, 4
Let p(v) be the first derivative of -v**6/2 - 34*v**5/5 + 27*v**4 - 56*v**3/3 + 271. Solve p(w) = 0.
-14, 0, 2/3, 2
Let r be (-128)/960 - 5618/(-60). Let t = r - 77. Determine m, given that 21/2*m**2 - t*m + 15/2 - 3/2*m**3 = 0.
1, 5
Suppose -5*g = -w - 8, -4*g - 4*w + 2617 - 2601 = 0. Factor -45/2*f - 75/2 - 3/2*f**3 + 27/2*f**g.
-3*(f - 5)**2*(f + 1)/2
Let a(p) be the second derivative of 0 + 28*p + 0*p**2 + 7/55*p**5 + 17/66*p**4 + 1/55*p**6 + 2/11*p**3. Solve a(h) = 0 for h.
-3, -1, -2/3, 0
Let b(v) = 2*v**2 - 11*v + 1. Let h(m) = 3*m - 21. Let i be h(10). Suppose -5*a = -i*a + 12. Let r(g) = -g**2 + 5*g. Let l(s) = a*b(s) + 7*r(s). Factor l(f).
-(f - 3)*(f + 1)
Let i(q) be the first derivative of 5*q**7/42 + q**6 + 5*q**5/4 - 77*q - 38. Let w(z) be the first derivative of i(z). Factor w(x).
5*x**3*(x + 1)*(x + 5)
Factor 0 + 0*w - 60/17*w**3 - 112/17*w**2 - 2/17*w**4.
-2*w**2*(w + 2)*(w + 28)/17
Let p(d) be the first derivative of -21*d**5/25 - 12*d**4/5 - 11*d**3/5 - 3*d**2/5 + 2024. Let p(k) = 0. Calculate k.
-1, -2/7, 0
Suppose -45 = -85*s - 48*s - 45. Let n(x) be the first derivative of 1/3*x**3 + 1/2*x**2 - 1/4*x**4 - 1/5*x**5 + s*x - 26. Find q such that n(q) = 0.
-1, 0, 1
Factor 5/2*l**4 + 75/4*l**3 - 1/4*l**5 + 0 - 125*l**2 - 625*l.
-l*(l - 10)**2*(l + 5)**2/4
Suppose -23*m = -0*m - 3680. Let t be m/(-96) - 3*-1. What is j in 10/3*j**2 + 2*j - t = 0?
-1, 2/5
Let r(o) be the third derivative of 1/40*o**4 - 2*o**2 - 1/5*o**3 + 0 + 1/100*o**5 + 15*o. Let r(t) = 0. What is t?
-2, 1
Let y(w) = 7*w**4 + 33*w**3 + 98*w**2 + 63*w + 3. Let j(q) = -6*q**4 - 34*q**3 - 96*q**2 - 62*q - 2. Let x(d) = -3*j(d) - 2*y(d). Factor x(t).
4*t*(t + 1)*(t + 3)*(t + 5)
Let o(f) = 2*f**5 - 132*f**4 + 248*f**3 + 6*f**2 - 2*f. Let b(k) = -k**5 + 132*k**4 - 248*k**3 - 9*k**2 + 3*k. Let a(i) = 2*b(i) + 3*o(i). Factor a(g).
4*g**3*(g - 31)*(g - 2)
Let g be -90*21/(-3150) + (41/2 - (-2)/5). Suppose 1/2*h**2 - g + 21*h = 0. What is h?
-43, 1
Let f(k) = 2*k**2 + 6*k + 6. Let y be f(-2). Let l be (-3)/(-1) + (-7)/14*y. Let 9/5 - 12/5*c + 3/5*c**l = 0. What is c?
1, 3
Let a be 7/(-43 - (-7208)/159). Factor 169/9*l**a + 0 - 26/9*l**2 + 1/9*l.
l*(13*l - 1)**2/9
Let g(r) = -4*r**2 - 49*r - 83. Let a(o) = 2*o - 1. Let n(y) = -20*a(y) - 5*g(y). Find l such that n(l) = 0.
-29/4, -3
Determine n so that 20700*n**4 + 3*n**3 - 173*n**3 - 905*n**2 - 20705*n**4 + 1080*n = 0.
-27, -8, 0, 1
Let p = -69963651 + 214088775469/3060. Let k = -1/340 + p. Suppose k*w + 4/3 - 2/9*w**2 = 0. Calculate w.
-1, 6
Suppose 3*p**3 + 6*p**5 + p**5 + 19*p**3 - 15*p**4 + 135*p**2 - 4*p**5 - 145*p**3 = 0. Calculate p.
-5, 0, 1, 9
Let k(y) = -y**3 + 5*y**2 + 7*y + 2. Let h be k(6). Suppose -9*b = -261 + 234. Solve 6*s - 2*s**b + h*s**2 - 5*s**3 + 9*s**3 = 0 for s.
-3, -1, 0
Let c(a) be the third derivative of 22*a**2 + 0 + 1/4*a**6 + 1/42*a**7 + 30*a**3 + a - 9/4*a**5 + 5/6*a**4. Factor c(y).
5*(y - 2)**2*(y + 1)*(y + 9)
Let h(i) be the first derivative of -253 + 1/3*i**4 + 0*i**2 + 2/3*i**5 + 2/9*i**6 + 0*i + 0*i**3. Let h(z) = 0. Calculate z.
-2, -1/2, 0
Let m(o) be the second derivative of -2/27*o**4 - 38/9*o**2 - 3 + 19*o - 17/3*o**3. Solve m(r) = 0 for r.
-38, -1/4
Let l(j) be the first derivative of -14*j**5/5 - 3981*j**4/2 - 372948*j**3 + 1877876*j**2 - 981552*j + 2773. Solve l(y) = 0 for y.
-286, 2/7, 3
Let w(b) be the second derivative of -b**5/60 - 89*b**4/4 - 23763*b**3/2 - 6344721*b**2/2 + 181*b. Factor w(o).
-(o + 267)**3/3
Solve 309/10*w**2 + 1/10*w**3 + 0 + 154/5*w = 0.
-308, -1, 0
Find g, given that 3074*g**3 + 8930*g**2 + 8833*g + 49*g**4 + 1/5*g**5 + 14641/5 = 0.
-121, -1
Let f = -86/641 + 2095/1282. Factor -3/2*j - 3*j**2 + 3/2 + 3*j**3 + 3/2*j**4 - f*j**5.
-3*(j - 1)**3*(j + 1)**2/2
Let s(l) = -3*l**2 + 111*l - 554. Let a be s(31). Find i, given that 51/2*i**3 + 21*i**2 - 6*i + 27/4*i**a + 0 = 0.
-2, 0, 2/9
Let s(d) be the third derivative of d**6/40 - 101*d**5/20 + 2499*d**4/8 + 2601*d**3/2 - 3*d**2 + 2*d. Factor s(f).
3*(f - 51)**2*(f + 1)
Let i = 52 - 48. Suppose -5*h + 27 = i*h. Determine o, given that -13*o - 2*o**3 - 6*o**2 + 22*o + h*o**3 = 0.
0, 3
Let j(f) be the first derivative of -2*f**3/39 - 17*f**2 + 444*f/13 - 2269. Determine z so that j(z) = 0.
-222, 1
Let y(g) be the third derivative of 0 - 2*g**3 - 5/12*g**4 + 1/180*g**6 - 221*g**2 + 0*g + 2/45*g**5. Factor y(n).
2*(n - 3)*(n + 1)*(n + 6)/3
Let z be 56/30 + (-320)/(-150) + -2. Let g(b) be the second derivative of -25*b + 0 -