ind o, given that z(o) = 0.
-17, 0, 1/18
Factor -1/2*a**4 + 291/2*a + 90 + 125/2*a**2 + 13/2*a**3.
-(a - 20)*(a + 1)*(a + 3)**2/2
Let y = 123 - 121. Factor 7*k**2 - 4*k**y - 9 - 2*k**2 - 4*k**2 - 12*k.
-3*(k + 1)*(k + 3)
Factor -146*b + 225 + 0*b**2 - 126*b - 90*b - b**2 + 290*b.
-(b - 3)*(b + 75)
Let c be 5/45 + 16035/27 + -1. Let a = 594 - c. Factor 11/2*b**2 - a + 9/2*b.
(b + 1)*(11*b - 2)/2
Let o(q) be the second derivative of 4*q + 1 + 1/4*q**5 - 5/12*q**4 - 15/2*q**2 - 25/6*q**3. Determine w so that o(w) = 0.
-1, 3
Let a(g) be the first derivative of -g**9/1008 + g**8/80 + g**7/35 - 20*g**3 - 4. Let p(h) be the third derivative of a(h). Solve p(t) = 0.
-1, 0, 8
Let i(q) = q**5 + q**3 - 4*q - 1. Let t(l) = 2*l**5 + 324*l**4 - 6390*l**3 - 6724*l**2 - 24*l - 6. Let y(m) = -6*i(m) + t(m). Solve y(r) = 0.
-1, 0, 41
Let o be 5 + (-5912)/14 + (-16)/(-56). Let u = 4597/11 + o. Factor -u*l**2 - 14/11*l - 4/11.
-2*(l + 1)*(5*l + 2)/11
Let r(b) = -42*b**2 + 2349*b - 453. Let l(j) = 39*j**2 - 2350*j + 455. Let d(f) = 9*l(f) + 8*r(f). Factor d(y).
3*(y - 157)*(5*y - 1)
Let r be -2 + (-94)/(-42) + (-66 - (-33512)/497). Factor r*d**2 + 13/3*d + 7/3 - 1/3*d**3.
-(d - 7)*(d + 1)**2/3
Suppose -23*j = -81 - 34. Let x(d) be the first derivative of 2/3*d**6 + 1/6*d**2 + 9/4*d**4 - d**3 + 0*d - 31/15*d**j - 1. Let x(l) = 0. Calculate l.
0, 1/4, 1/3, 1
Let t be (-3)/(-2) - 273/(-42). Factor 36*i**4 - 13*i**4 - 8*i**2 + 4*i**5 - 11*i**4 - t*i**2.
4*i**2*(i - 1)*(i + 2)**2
Solve 884 + 657*v**2 + 1322*v - 1/2*v**4 + 215/2*v**3 = 0.
-2, 221
Find d, given that -171/2*d**2 + 0 + 0*d + 3/2*d**4 - 84*d**3 = 0.
-1, 0, 57
Find l such that -6*l**3 - l**4 + 4*l**4 + 15*l**5 + 3*l**3 + 9*l**4 + 0*l**5 = 0.
-1, 0, 1/5
Let a be 2 - (-120)/(-63) - (-122)/42. Suppose 2 = p + 2*d, a*p - 2*p = 3*d + 2. Solve -99/5*s**p - 3 - 84/5*s + 54/5*s**3 = 0 for s.
-1/3, 5/2
Let j be (-16)/(-42)*((-225)/(-20))/15. Let z be (-260)/210 - (14/6 + -5). Suppose -j*d**3 - z*d - 8/7*d**2 - 4/7 = 0. Calculate d.
-2, -1
Determine x, given that -60025/2 - 245*x - 1/2*x**2 = 0.
-245
Suppose 0 = -54*l + 51*l + 57. Let n(r) be the second derivative of 0 + l*r - 1/27*r**3 + 0*r**2 - 1/90*r**5 + 1/27*r**4. Suppose n(s) = 0. What is s?
0, 1
Let w(y) = 59*y**2 - 535*y + 39. Let p be w(9). Let b(x) be the first derivative of 4*x - 2/15*x**p + 10 + 3/5*x**2. Let b(j) = 0. What is j?
-2, 5
Let d(y) be the first derivative of 1/14*y**4 + 8*y + 57/7*y**2 - 155 + 20/7*y**3. What is v in d(v) = 0?
-28, -1
Let d(q) be the third derivative of 51*q**2 + 0 + 675/4*q**3 + 1/120*q**5 + 0*q - 15/8*q**4. Factor d(c).
(c - 45)**2/2
Solve -23574*r - 12135*r - 144 - 1016738*r**4 - 1459484*r**2 + 1701*r + 3033102*r**3 - 559803*r**2 + 37075*r**2 = 0 for r.
-6/713, 1, 2
Let y(l) = 2*l**2 + 48*l + 298. Let j(a) = -a**2 - 19*a + 36. Let c be j(-17). Let p = c - 50. Let w(z) = -1. Let r(m) = p*w(m) + 2*y(m). Factor r(s).
4*(s + 12)**2
Let t be -6 + (-252)/(-45) + (171/(-10))/(-9). Determine r, given that 0 - t*r**2 - 9*r = 0.
-6, 0
Let o(p) be the second derivative of p**4/33 - 23*p**3/11 + 189*p**2/11 + 2721*p. Factor o(j).
2*(j - 3)*(2*j - 63)/11
Let f(z) be the third derivative of -2*z**7/525 - 103*z**6/75 - 3467*z**5/25 + 10712*z**4/15 - 21632*z**3/15 - 863*z**2. Factor f(p).
-4*(p - 1)**2*(p + 104)**2/5
Let a be (2/12 - 817/258) + 7. Let c(n) be the second derivative of -1/6*n**a + 0*n**2 + 1/15*n**6 + 1/10*n**5 + 21*n - 1/3*n**3 + 0. Factor c(g).
2*g*(g - 1)*(g + 1)**2
Let n(c) = -11*c - 27. Let g be n(-3). Let q be g - (3 + (6/30)/1). Find a, given that -q*a**2 + 4/5*a + 2/5*a**4 + 12/5*a**3 + 0 - 4/5*a**5 = 0.
-2, 0, 1/2, 1
Let l(f) = -f**4 - 235*f**3 - 2008*f**2 + 4. Let g(z) = -z**4 - 470*z**3 - 4023*z**2 + 9. Let x(a) = 4*g(a) - 9*l(a). Factor x(i).
5*i**2*(i + 11)*(i + 36)
Let k(m) = -11*m**2 + 168*m - 1044. Let g(x) = 190*x**2 - 2855*x + 17750. Let j(t) = -2*g(t) - 35*k(t). Factor j(s).
5*(s - 26)*(s - 8)
Suppose 20 = 9*m - 10*m. Let z = m - -23. Determine b so that 20 + 6*b**2 + 0 + 10*b**z + 12*b**2 - 3*b**2 - 5*b**4 - 40*b = 0.
-2, 1, 2
Let j(l) be the first derivative of 2*l**6/21 - 12*l**5/7 + 23*l**4/7 + 52*l**3/7 + 1209. Let j(u) = 0. What is u?
-1, 0, 3, 13
Find w, given that 60 + 4/3*w**3 + 4*w**2 - 196/3*w = 0.
-9, 1, 5
Determine g, given that -532/5*g**2 + 963/5 + 102/5*g**3 + 66*g + 1/5*g**4 = 0.
-107, -1, 3
Let -214*d**4 - 135*d**4 + 111*d**4 - 36*d**5 - 208*d**2 - 150*d**4 + 1024*d**3 = 0. Calculate d.
-13, 0, 2/9, 2
Factor 123*v - 2640 + 190*v - 783*v - 5*v**2.
-5*(v + 6)*(v + 88)
Let x = 6032 - 6028. Let t(d) be the third derivative of -1/12*d**5 + 0*d + 0 + 5/6*d**3 - 1/24*d**6 - 22*d**2 + 5/24*d**x. Factor t(s).
-5*(s - 1)*(s + 1)**2
Let v(m) be the first derivative of -2/13*m**3 + 2/13*m**2 - 1/13*m**4 + 126 + 0*m. Determine l so that v(l) = 0.
-2, 0, 1/2
Suppose j + 3 = 2*d - 4, 5*j = -4*d - 7. Let s = 281234/984417 + 4/140631. Solve -s*b**3 - 6/7*b**d - 4/7*b + 0 = 0 for b.
-2, -1, 0
Let x(m) = 7*m**2 - 199*m - 415. Let v(h) = 3*h**2 - 93*h - 208. Let o(k) = -5*v(k) + 2*x(k). Factor o(a).
-(a - 70)*(a + 3)
Let o be 12/(-28)*196/(-56) - (-13)/(-12). Let l(z) be the second derivative of 5/2*z**3 + o*z**4 - 11*z + 0 + 5*z**2. Factor l(h).
5*(h + 1)*(h + 2)
Let p be (333/9990)/(1/(-9))*-10. Suppose 23/9*a**p - 476/9*a - 134/9*a**2 - 392/9 - 1/9*a**5 + 8/9*a**4 = 0. Calculate a.
-2, 7
Suppose -20 = 3*v + 4. Let s(h) = 2*h + 18. Let c be s(v). Factor -13*y**2 + 6 + 3*y**2 + 6*y**c + 12*y + 10.
-4*(y - 4)*(y + 1)
Let o = 368/9 - 4045/99. Let n(u) be the first derivative of o*u**3 - 27 - 3/11*u - 1/11*u**2. Determine c, given that n(c) = 0.
-1, 3
Let b(z) be the first derivative of z**3/12 - 12*z**2 - 297*z/4 - 2709. Determine v so that b(v) = 0.
-3, 99
Let l be (17/((-561)/(-22956)))/4. Let n = l - 173. Factor -8/11*w + 2/11 - n*w**2.
-2*(w + 1)*(5*w - 1)/11
Let o(m) = 85*m**2 - 669*m + 1587 - 13*m - 18*m - 15*m. Let p(n) = -87*n**2 + 720*n - 1587. Let k(w) = 6*o(w) + 5*p(w). Find z, given that k(z) = 0.
23/5
Let n = -771 + 772. Let z be (-8)/n - 128/(-14). Find y such that -z - 2/7*y**2 - 8/7*y = 0.
-2
Factor -1857*h**3 - 495616 - 489988*h**2 - 951*h**3 + 584875*h + 403541*h + 252*h**4 - 256*h**4.
-4*(h - 1)**2*(h + 352)**2
Let h(x) = -9*x**4 + 168*x**3 - 102*x**2 + 12*x - 6. Let t(d) = -18*d**4 + 336*d**3 - 203*d**2 + 26*d - 13. Let m(k) = 13*h(k) - 6*t(k). Factor m(z).
-3*z**2*(z - 18)*(3*z - 2)
Let c(m) be the second derivative of -m**5/10 + 73*m**4/2 - 145*m**3 + 217*m**2 + 5699*m. Factor c(v).
-2*(v - 217)*(v - 1)**2
Let w(h) = h**3 + 14*h**2 + 11*h - 17. Let a be w(-13). Suppose -2*p - a + 17 = 0. Factor 11*g - 29*g**3 + 3*g**p + g + 20*g**3.
3*g*(g - 2)**2*(g + 1)
Let w(j) be the second derivative of -j**4/60 - 211*j**3/30 + 108*j**2 - 2102*j. Factor w(r).
-(r - 5)*(r + 216)/5
Let t be 22/77 - (72/(-14))/3. Let q be 3 + -8 + t + 10/2. Solve 3*g - q - 34*g**3 - g + 32*g**3 + 2*g**2 = 0 for g.
-1, 1
Let u be ((-4)/(-5))/((-2)/(-10)). Suppose -o - u = -3*j, 2*o + 1 = -3*j + 11. Suppose 713*f**2 - 12*f**3 - 5*f**4 + o*f**4 + 7*f**4 - 705*f**2 = 0. What is f?
0, 1, 2
Let z(p) be the first derivative of p**5/120 + p**4/6 + p**3 + 231*p**2/2 - 86. Let l(j) be the second derivative of z(j). Determine h, given that l(h) = 0.
-6, -2
Let d be -1*10/(-4)*(-4)/2205. Let t = d - -1472/441. Factor -5/3*a**2 - t*a - 5/3.
-5*(a + 1)**2/3
Let x(u) be the first derivative of -3*u**5/5 + 159*u**4/4 + 534*u**3 + 2202*u**2 + 3720*u - 5049. Let x(c) = 0. Calculate c.
-5, -2, 62
Let z = -1066 + 1073. Let l be (2448/152 - z) + -9. Factor -l*r**2 - 2/19*r + 0.
-2*r*(r + 1)/19
Find a such that 2200*a + 3108*a**2 + 6*a**4 - 1936/3 + 806/3*a**3 = 0.
-22, -1, 2/9
Factor -5571*a + 2298966*a**2 - 948706636/3*a**3 + 9/2.
-(1238*a - 3)**3/6
Factor 5/4*y**2 + 66 - 443/4*y.
(y - 88)*(5*y - 3)/4
Factor 11*m**4 + 97*m**3 + 116*m**2 - m**5 + 137*m**2 + 105*m**3 + 168*m + 79*m**2 + 26*m**4.
-m*(m - 42)*(m + 1)*(m + 2)**2
Let m(v) = 3719*v + 11161. Let t be m(-3). Find l, given that -4*l - 16/9*l**3 + 2/9*l**t + 0 + 14/3*l**2 = 0.
0, 2, 3
Let y(l) be the third derivative of l**5/150 - 257*l**4/60 + 254*l**3/5 + 2047*l**2. Factor y(j).
2*(j - 254)*(j - 3)/5
Let y(c) be the first derivative of -10/3*c**3 + 108 - 26/5*c**2 - 2/5*c. F