**2 - 430*o - 1040. Let z(l) = -l**3 - 25*l**2 - 143*l - 347. Let x(w) = 4*t(w) - 11*z(w). Determine a so that x(a) = 0.
-7
Let i(r) = -60*r**2 + 24*r - 14. Suppose 5*n - 32 = 4*g + n, 0 = g + 5*n - 22. Let s(b) = -12*b**2 + 5*b - 3. Let h(d) = g*i(d) + 14*s(d). Factor h(z).
2*z*(6*z - 1)
Let o be 2/8*(-2 - 70/3). Let l = -92/15 - o. Factor l*t - 2/5 + 1/5*t**2.
(t - 1)*(t + 2)/5
Let u be (-4)/((-288)/(-76)) - -1. Let y = 25/126 + u. Determine q, given that -y*q**2 + 8/7*q - 16/7 = 0.
4
Factor 1/3*s**5 - 4/3*s**3 + s - 2/3*s**4 + 2/3*s**2 + 0.
s*(s - 3)*(s - 1)*(s + 1)**2/3
Let o(u) be the third derivative of -1/42*u**7 + 5/336*u**8 + 0*u - 5/6*u**3 + 0 + 1/6*u**5 - 1/12*u**6 + 5/24*u**4 - 20*u**2. Factor o(t).
5*(t - 1)**3*(t + 1)**2
Let w(f) be the second derivative of f**5/210 + 8*f**4/63 + 23*f**3/21 + 18*f**2/7 + 355*f - 2. Factor w(t).
2*(t + 1)*(t + 6)*(t + 9)/21
Let b(f) = -3*f**3 - 15*f**2 - 10. Let x(t) = 4*t**3 + 16*t**2 + 12. Let g(q) = -6*b(q) - 5*x(q). Suppose g(i) = 0. Calculate i.
0, 5
Let k(d) be the first derivative of 2/3*d**3 + 0*d**2 - 16 + 0*d. Factor k(i).
2*i**2
Let o = 311/2360 + -2/295. Factor -o*g**2 + 0 - 1/8*g.
-g*(g + 1)/8
Let g(z) = -23*z + 15*z + 3*z**2 + 10*z. Let k be g(2). Factor -6*q**3 - 13*q**2 + 4*q - 6 - 8*q**2 - k*q - 9*q.
-3*(q + 1)*(q + 2)*(2*q + 1)
Let x(u) be the first derivative of 1/6*u**6 - 2/3*u**3 + 1/2*u**2 - 6 + 1/5*u**5 - 1/2*u**4 + u. Factor x(j).
(j - 1)**2*(j + 1)**3
Let v(m) = -m**2 + 5*m - 2. Let k be v(4). Let n(s) = s**2 + 3*s - 7. Let z be n(-5). Factor k + 0 + 3 - 3 + z*b + b**2.
(b + 1)*(b + 2)
Factor -10*b**3 - 2 - 2*b**2 + 4*b**4 - 9*b**3 + 13*b**3 + 6*b.
2*(b - 1)**2*(b + 1)*(2*b - 1)
Let g(c) be the second derivative of -c**10/136080 + c**9/22680 + c**8/7560 + 11*c**4/12 - c**3/6 - 36*c. Let s(i) be the third derivative of g(i). Factor s(q).
-2*q**3*(q - 4)*(q + 1)/9
Suppose 376*b - 66 = -370*b + 724*b. Factor -14/15*f**4 - 32/15*f - 10/3*f**2 - 2/15*f**5 - 38/15*f**b - 8/15.
-2*(f + 1)**3*(f + 2)**2/15
Let m(g) = 3*g**2 - 28*g + 47. Let o(t) = -50*t**2 + 477*t - 800. Let a(n) = -n. Let u(y) = 2*a(y) + o(y). Let f(j) = 35*m(j) + 2*u(j). Factor f(k).
5*(k - 3)**2
Let l be 2/(-42) + (-9)/27*-1. Factor -l*k**2 + 0 + 6/7*k.
-2*k*(k - 3)/7
Let 17*x + 2 + 8 + 3*x**2 - 358*x**4 - 359*x**4 - 5*x**3 + 1077*x**4 - 361*x**4 = 0. What is x?
-5, -1, 2
Let l be (-5166)/(-252) - (-1)/((-9)/(-30)*4). Find h such that -27440/3*h**3 + l - 1120/3*h - 33614/3*h**5 + 48020/3*h**4 + 7840/3*h**2 = 0.
2/7
Let z(d) = -d**4 - d**3 - d**2 - d - 2. Let a(o) = -6*o**4 - 15*o**3 - 38*o**2 - 49*o - 30. Let q(j) = -a(j) + 5*z(j). Suppose q(w) = 0. What is w?
-5, -2, -1
Let t(c) be the third derivative of -17/140*c**5 - 6*c**2 + 0 - 1/56*c**6 - 2/7*c**4 - 2/7*c**3 + 0*c. Suppose t(p) = 0. What is p?
-2, -1, -2/5
Let c(a) = -3*a**4 + a**3 + 10*a**2 - 7*a - 1. Let x(s) = s**3 - s**2 + s - 1. Let z(t) = -c(t) - 3*x(t). Determine k, given that z(k) = 0.
-1, -2/3, 1, 2
Suppose c + 10 + 103 = 5*k, 327 = -3*c + 3*k. Let s = c + 110. Determine y, given that s - 4/3*y + 2/9*y**2 = 0.
3
Let f be 48/15 + (-10)/50. Let m(l) be the second derivative of 0*l**4 - 2*l - 2/21*l**f + 0 + 1/35*l**5 - 1/105*l**6 + 1/7*l**2. Let m(w) = 0. Calculate w.
-1, 1
Let y(n) = 11*n**2 + 51*n + 84. Let b(r) = 65*r**2 + 305*r + 505. Let c(z) = -6*b(z) + 35*y(z). Factor c(j).
-5*(j + 3)*(j + 6)
Let a be (-24)/28 - 136/(-119). Find f such that 0 + a*f**2 + 0*f = 0.
0
Let r(k) be the third derivative of -k**8/1176 + 13*k**7/735 - k**6/12 - 7*k**5/30 + 52*k**2. Factor r(y).
-2*y**2*(y - 7)**2*(y + 1)/7
Suppose 9*z + 8*z - 12 = 13*z. Suppose -5*g - 25 = -3*x - 0*g, 15 = 2*x - 3*g. Solve 0*w**2 + 0*w**z + 0*w + 3/2*w**5 + x*w**4 + 0 = 0 for w.
0
Suppose -550*y**2 + 73*y + 86*y + 562*y**2 + 147 = 0. What is y?
-49/4, -1
Let u = 1/450 - -11/1800. Let y(a) be the second derivative of -6*a - 1/40*a**5 + 0*a**2 + 0*a**3 + 0 + u*a**6 + 0*a**4. Factor y(m).
m**3*(m - 2)/4
Let y(c) be the first derivative of -1/4*c**2 - 1/4*c**3 - 16 + 0*c. Determine a, given that y(a) = 0.
-2/3, 0
Factor 5*k**2 + 70964 - 1316*k - 986*k + 512*k + 69216 + 20025.
5*(k - 179)**2
Let t(k) be the first derivative of 2541*k**6/20 - 330*k**5 + 284*k**4/5 + 232*k**3/15 + 4*k**2/5 - 493. Determine j, given that t(j) = 0.
-2/33, 0, 2/7, 2
Let z be 14*1*(36/(-63))/(-2). Factor 1/9*k**3 - 5/9*k**2 + 1/9*k**z + 1/3*k + 0.
k*(k - 1)**2*(k + 3)/9
Let p(q) be the first derivative of -q**6/36 + 4*q**5/15 - 25*q**4/24 + 19*q**3/9 - 7*q**2/3 + 4*q/3 + 93. Determine k so that p(k) = 0.
1, 2
Let z = 21467/4 - 5366. Factor 0*h**3 - 3/4 + 0*h + 3/2*h**2 - z*h**4.
-3*(h - 1)**2*(h + 1)**2/4
Let t(r) = -r**2 + 15*r - 24. Let d be t(13). Suppose -14*o**3 - 5 + 2 - 18*o**2 - 3*o**4 + d*o**3 - 12*o = 0. Calculate o.
-1
Let u = -7971 + 47827/6. Factor -2/3*h + u*h**2 - 5/6.
(h - 5)*(h + 1)/6
Let o = 7451/2640 + -31/11. Let z(v) be the third derivative of -1/48*v**4 + 0 - 1/1260*v**7 + 0*v**3 + 1/360*v**5 - 5*v**2 + o*v**6 + 0*v. Factor z(b).
-b*(b - 3)*(b - 1)*(b + 1)/6
Suppose -7 = 3*u - 16. Determine h so that 4*h**2 + u*h**3 + 4*h + 5*h**2 + 2*h = 0.
-2, -1, 0
Let i be (-83)/(-58) + 2/29. Suppose -6*s - i*s**2 - 6 = 0. Calculate s.
-2
Let 18*n**2 + 0*n + 3/4*n**4 + 0 - 21/2*n**3 = 0. What is n?
0, 2, 12
Let x = -5917 - -5919. Factor -8/21*y + 2/7 + 2/21*y**x.
2*(y - 3)*(y - 1)/21
Suppose 752 = 80*n + 14*n. Let m(t) be the first derivative of -n*t**2 + 0*t + 0*t**3 + 6 - 4/5*t**5 + 3*t**4. Factor m(h).
-4*h*(h - 2)**2*(h + 1)
Let f(t) = -t**3 + t**2 + 3. Let r be f(0). Let d(c) = c**2 + 7*c - 25. Let a be d(r). Factor 8/3*n**4 + 2/3*n**a - 10/3*n - 4/3*n**2 + 8/3*n**3 - 4/3.
2*(n - 1)*(n + 1)**3*(n + 2)/3
Let v(y) be the second derivative of -135*y**5/4 + 285*y**4/4 - 32*y**3 + 6*y**2 + 41*y + 2. Factor v(p).
-3*(p - 1)*(15*p - 2)**2
Suppose f + f = 48. Let s(y) = 20*y**5 - 16*y**3 - 28*y. Let v(w) = -w**5 + w**3 + w. Let d(h) = f*v(h) + s(h). Find q such that d(q) = 0.
-1, 0, 1
Let s(y) be the first derivative of -23/3*y**3 - 10 - 15*y**2 - 1/10*y**5 - 25/2*y - 3/2*y**4. Determine h, given that s(h) = 0.
-5, -1
Let g = 1220/263 - -22/789. Let g*f**3 + 130*f - 100/3 - 48*f**2 = 0. What is f?
2/7, 5
Let q(l) = -l**2 - 98*l + 867. Let t(y) = -y**2 + y. Let w(k) = -q(k) + 4*t(k). Determine d so that w(d) = 0.
17
Let a(y) be the second derivative of y**6/30 - y**5/20 + 54*y. Let a(r) = 0. Calculate r.
0, 1
Let m = 114 - 110. Let v(g) be the first derivative of -3 + 0*g - 1/4*g**m - 2/3*g**3 + 0*g**2. Solve v(s) = 0.
-2, 0
Let z(g) = -1. Let o(t) = 3*t**2 + 52*t - 38. Let x(r) = o(r) - 2*z(r). Factor x(a).
(a + 18)*(3*a - 2)
Let n = 54 + -39. Suppose -11 - 3 - 7*c + 2*c + 4 + n*c**2 = 0. What is c?
-2/3, 1
Let k(o) = -16*o**4 + 25*o**3 + 23*o**2 - 9*o. Let x(q) = 4*q**4 - 6*q**3 - 6*q**2 + 2*q. Let a(h) = 2*k(h) + 9*x(h). Factor a(n).
4*n**2*(n - 2)*(n + 1)
Let y = 70 - 1049/15. Let x = 1/3 - y. Factor 2/15*c**2 - x*c + 0.
2*c*(c - 2)/15
Let a(o) = o**2 + 18*o - 13. Let i be a(-19). Let v(b) be the third derivative of 0*b - 2*b**2 + 1/120*b**5 + 0*b**3 + 0 - 1/120*b**i + 0*b**4. Factor v(l).
-l**2*(2*l - 1)/2
Suppose 67*o - 50*o = 34. Let j(y) = y**2 + 5*y. Let g be j(-5). Let g*m**3 - 2/9 + 4/9*m**o + 0*m - 2/9*m**4 = 0. Calculate m.
-1, 1
Let o(h) = -4*h + 87. Let g be o(-27). Suppose -g*c + 200*c = 25. Factor 1/4*w**c + w + w**2 - 1/2*w**4 - 3/4*w**3 + 0.
w*(w - 2)**2*(w + 1)**2/4
Factor -13746*m**2 - 8460*m - 2*m**3 + 8836 + 13374*m**2 - 2*m**3.
-4*(m - 1)*(m + 47)**2
Let a be (-4)/10 + 18/20. Let d = -22846 - -45693/2. Factor a + h + d*h**2.
(h + 1)**2/2
What is s in 3342*s**3 - 816*s**2 + 171*s**4 + 2058*s**3 - 2671*s**4 + 31*s + s = 0?
0, 2/25, 2
Let j(f) be the second derivative of 0 + 61/12*f**4 - 7/5*f**5 + 9/2*f**2 + 2/15*f**6 - 7*f**3 - 30*f. Find d, given that j(d) = 0.
1/2, 3
Let w(r) = r + 1. Let f be 3/3 - (-2 + 2). Let p(l) = 2*l**2 - 14*l + 34. Let g(t) = f*p(t) - 2*w(t). Suppose g(h) = 0. What is h?
4
Let f = 190 + -188. Let p(t) be the second derivative of 0*t**4 + 0 + 3/20*t**5 - 1/2*t**3 + 0*t**f + 9*t. Determine z, given that p(z) = 0.
-1, 0, 1
Let x be (-6080)/(-26000) + 2/(-25). Let -x*k**2 + 6/13*k + 8/13 = 0. What is k?
-1, 4
Suppose -115*r + 107*r = -32. Find z, given th