 the third derivative of l*d**4 - 1/5*d**6 + 1/15*d**7 + 1/10*d**5 + 32*d**2 + 0*d**3 + 0*d + 0. Let m(a) = 0. What is a?
-2/7, 0, 1
Let v(h) be the first derivative of h**6/6 + 8*h**5/5 - 112*h**3/3 - 136*h**2 - 192*h + 264. Factor v(q).
(q - 4)*(q + 2)**3*(q + 6)
Let c(k) be the second derivative of k**4/28 + 143*k**3/7 - 123*k**2/2 - 4*k + 607. Factor c(h).
3*(h - 1)*(h + 287)/7
Suppose 0 = 2*u - 2*l - 306, -l - 307 = -2*u - 0*u. Let b = -458/3 + u. Factor -1/3*t**3 + 0 - 4/3*t**2 - b*t.
-t*(t + 2)**2/3
Let 14396/5*o**2 + 476/5*o**3 + 13924/5*o + 0 + 4/5*o**4 = 0. Calculate o.
-59, -1, 0
Let s(x) be the third derivative of -x**5/210 + 5*x**4/14 + 31*x**3/21 + 81*x**2. Find y, given that s(y) = 0.
-1, 31
Let s(k) = k**2 + 21*k + 110. Let r be s(-11). Suppose r = -i + 14*i. Let i + 2/9*c**2 - 1/3*c**3 + 1/9*c**4 + 0*c = 0. Calculate c.
0, 1, 2
Let g(n) = 15*n - 11. Let s be g(-13). Let x = s + 208. Solve 0 + 0*j - 3/4*j**3 + 3/4*j**x = 0 for j.
0, 1
Let a be (11 - 1 - 11)/((-2)/(-84)). Let k be (-8)/(-3) + 56/a. Factor 2/3*d**3 - 2/3*d**4 + k*d**2 + 0*d + 0.
-2*d**2*(d - 2)*(d + 1)/3
Let g = 148404 + -445211/3. Determine i so that -2 - g*i + 1/3*i**2 = 0.
-2, 3
Let r(z) = 11*z**3 + 175*z**2 + 891*z + 1035. Let x(b) = -3*b**3 - 44*b**2 - 223*b - 258. Let w(m) = -4*r(m) - 15*x(m). Find t such that w(t) = 0.
-3, -2, 45
Let x = 25 - 1. Suppose -24 = -8*d + x. Solve a - d + 5*a**2 + 3*a - 4 + a = 0 for a.
-2, 1
Let z(f) be the third derivative of f**4/24 + 23*f**3/6 - 184*f**2. Let n be z(-21). Factor -5*a**n - 3*a**3 + 21/2*a + 3/2*a**4 + 1/2*a**5 - 9/2.
(a - 1)**3*(a + 3)**2/2
Suppose 33 + 214 = 153*t - 212. Factor 2/7*a**4 - 4/7*a**2 + 24/7*a - 8/7*a**t + 18/7.
2*(a - 3)**2*(a + 1)**2/7
Suppose -6*u - 8 = -26. Suppose 14*r + u = 15*r. What is p in -p - 17*p**3 + 49*p - 5*p**r - 24*p**2 - 3*p**4 + p**3 = 0?
-4, 0, 1
Suppose 0 = 109315*l - 109325*l + 680. Let 14/5*y**2 + 96/5 + l*y = 0. What is y?
-24, -2/7
Suppose -111 + 87 = -3*b. Factor -b*v**2 - 4*v + 2 - 5 + 7*v**2 + 0*v**2.
-(v + 1)*(v + 3)
Let z(r) be the third derivative of 5*r**6/24 + 289*r**5/3 - 1159*r**4/6 + 464*r**3/3 + 1714*r**2. What is o in z(o) = 0?
-232, 2/5
Let p(a) be the third derivative of 0*a - 1/10*a**5 - 1/40*a**6 - 21 + 0*a**4 + 0*a**3 + 1/70*a**7 - a**2. Let p(f) = 0. What is f?
-1, 0, 2
Let c be ((19/((-1216)/24) + 0)/(1/20))/(-3). Factor 0*v + c*v**3 + 4/3*v**2 + v**4 - 1/6*v**5 + 0.
-v**2*(v - 8)*(v + 1)**2/6
Let d(s) = s**2 - 6*s - 2. Let k be d(6). Let c be k*((-4)/6)/((-3)/(-117)). Let 16 + 11*a - c*a**4 + 8*a - 96*a**3 + 92*a**2 + 77*a - 56*a**4 = 0. Calculate a.
-1, -2/3, -2/9, 1
Factor -12532*r - 47*r**3 - 27*r**2 + 12448*r + 2*r**4 - r**3 + 40*r**2 + 117*r**2.
2*r*(r - 21)*(r - 2)*(r - 1)
Factor -98137344 + 2574304 + 26806241*y - 6578410 + 56160*y**3 - 426*y**4 - 8164031*y + 2*y**5 - 22404*y**3 - 1206092*y**2.
2*(y - 61)**3*(y - 15)**2
Let t(j) = j**3 + 9*j**2 - 7*j - 57. Let g be t(-9). Let q be 2/9 - g*30/(-2835). Suppose q*h**2 + 72/7 - 24/7*h = 0. What is h?
6
Let r(n) = 4*n**2 + 41*n + 73. Let v(u) = 3*u**2 + 2*u - 1. Let z(l) = -2*r(l) + 2*v(l). Factor z(w).
-2*(w + 2)*(w + 37)
Let r(b) be the third derivative of -29/108*b**4 + 0 + 0*b**3 + 1/9*b**5 + 0*b - 109*b**2 - 1/540*b**6. Factor r(q).
-2*q*(q - 29)*(q - 1)/9
Let q be 3/(-24)*(-38)/57. Let h(m) be the second derivative of -1/18*m**3 - 2*m + 1/72*m**4 + q*m**2 + 0. Factor h(y).
(y - 1)**2/6
Factor 2*z**3 + 72*z**2 + 18*z**3 + 8*z - 18*z**2 - 23*z**3 - 143*z.
-3*z*(z - 15)*(z - 3)
Let k(v) = 3*v**3 - 501*v**2 - 1527*v - 506. Let a be k(170). Factor 0 + 2/9*x**a - 8/9*x**2 + 8/9*x - 2/9*x**3.
2*x*(x - 2)*(x - 1)*(x + 2)/9
Let o = -62 - -66. Suppose 57*v - 44 - 70 = 0. Find r such that -2*r**o + 0 - 4/5*r + 2*r**v + 4/5*r**5 + 0*r**3 = 0.
-1, 0, 1/2, 1, 2
Suppose 4*v - 7*x = -6*x + 19, -4*v + 5*x + 31 = 0. Let s(f) be the first derivative of 12 + 7*f**5 + 0*f + 0*f**2 - 25/2*f**v + 5*f**3. Factor s(u).
5*u**2*(u - 1)*(7*u - 3)
Let u(h) = 4*h**3 + 13*h**2 + h - 1. Let l be u(-3). Suppose 58*k + l*o = 55*k - 9, -11 = 2*k + 5*o. Factor 3/5*b**3 + 3/5*b + 0 + 6/5*b**k.
3*b*(b + 1)**2/5
Let w(b) be the first derivative of b**7/84 - b**6/6 + 3*b**5/5 + 5*b**4/12 - 25*b**3/12 - 11*b + 72. Let i(j) be the first derivative of w(j). Factor i(v).
v*(v - 5)**2*(v - 1)*(v + 1)/2
Let b(n) = -230*n**4 + 5330*n**3 - 30959*n**2 - 8554*n - 576. Let a(d) = -d**4 - 2*d**3 + d**2 - 2*d. Let s(y) = 5*a(y) - b(y). Factor s(o).
(o - 12)**2*(15*o + 2)**2
Find k such that 1968/5*k - 402/5*k**4 - 56 + 2*k**5 + 382*k**3 - 3206/5*k**2 = 0.
1/5, 1, 2, 35
Let d(s) be the first derivative of 2*s**3/33 + 14*s**2/11 + 96*s/11 - 2430. Suppose d(q) = 0. Calculate q.
-8, -6
Let k be (-1 - (-25)/45)/(2/(-9)). Let s be (k/9)/((-86)/(-129)). Suppose 1/3*u**3 + 0*u + 0 - s*u**2 = 0. Calculate u.
0, 1
Let a = 923 - 920. Find s such that 11*s**3 - 5*s**4 + a*s + 21 - 8*s - 2*s - 6*s**5 + 7*s**2 + 2*s**5 - 23 = 0.
-2, -1, -1/4, 1
Let w(c) = c**2 - 8*c + 23. Let x be w(5). Let n be (1*4)/(1 + (x - 7)). Find h such that 7*h**5 + 64*h**3 - 3*h**2 - 78*h**3 - h**2 + 7*h + 2*h**4 + n = 0.
-1, -2/7, 1
Let z(k) be the first derivative of 0*k**2 + 8 - 5/72*k**4 + 0*k + 35/3*k**3 - 1/1080*k**6 + 1/60*k**5. Let x(g) be the third derivative of z(g). Factor x(o).
-(o - 5)*(o - 1)/3
Suppose -3 = 6*o - 21. Determine s, given that 11 + 104*s + 24*s**4 + 6*s**5 + 130*s**o + 2 + 170*s**2 + 11 + 22*s**4 = 0.
-3, -2, -1, -2/3
Let h = -497 - -153. Let s = -117 - h. Suppose -224 - m + s + 3*m + m - 3*m**2 - 3*m**3 = 0. What is m?
-1, 1
Suppose 0 = -3*v - d + 43, v - 3*v = 4*d - 32. Let y be 49/v - 3/6. Determine x, given that -2*x + 8 - 1 - y - 2*x**2 = 0.
-2, 1
Let z(l) = -2*l**3 - 22*l**2 - 187*l - 2052. Let b be z(-11). Suppose -10*v + 10*v**3 - b + 15/4*v**4 + 5/4*v**2 = 0. Calculate v.
-2, -1, -2/3, 1
Let o(s) be the first derivative of -2*s**5/25 - 2*s**4 - 38*s**3/15 - 695. Factor o(c).
-2*c**2*(c + 1)*(c + 19)/5
Suppose 0 = 279*o - 1132*o + 929 + 1630. Factor -1/8*z**4 + 0 + 0*z**o + 1/4*z + 3/8*z**2.
-z*(z - 2)*(z + 1)**2/8
Let t be (-6898)/(-12) + (-12)/(-72). Let s = t - 5173/9. Suppose -50/9 - s*k**2 - 20/9*k = 0. What is k?
-5
Let d = 263/49 + -1168/245. Suppose 0*f + d*f**3 + 0 - 1/5*f**4 - 2/5*f**2 = 0. What is f?
0, 1, 2
Let w(h) = -2*h**4 + 117*h**3 - 1215*h**2 - 6731*h + 6. Let n(r) = -18*r**4 + 1050*r**3 - 10936*r**2 - 60578*r + 52. Let u(t) = -6*n(t) + 52*w(t). Factor u(y).
4*y*(y - 29)**2*(y + 4)
Let k(v) = -13*v**2 - 199*v - 585. Let p be k(-4). Let -2/5*b**4 + 4/5*b**p - 16/5*b + 6/5*b**2 + 8/5 = 0. Calculate b.
-2, 1, 2
Let v(r) = -r**2 - 5*r + 3. Let m(g) = 2*g**2 - 6831*g - 11716938. Let x(i) = -5*m(i) - 15*v(i). Factor x(w).
5*(w + 3423)**2
Let x be ((-1 - -3) + 22)*1. Let 0*d**2 + x - 4*d - 2*d**2 - 22*d - 6*d**2 = 0. What is d?
-4, 3/4
Let g be ((-4)/1)/16 + (-27)/(-12). Suppose 10 = g*x + 3*x. Factor 0*w**2 - w**5 + 0*w**5 - w + 2*w**4 + 2*w**5 - x*w**2.
w*(w - 1)*(w + 1)**3
Suppose -3*q + 29 = -2*g, 3*q = g - 0*g + 22. Let t = -5 - g. Factor 30 - 10 - 7*w - 5*w**t + 2*w - 10.
-5*(w - 1)*(w + 2)
Suppose -5*q = -j - 4*j - 5, -3*q + j - 7 = 0. Let b be -1 + (8/q + -1 - -6). Find m such that -3/5*m + 1/5*m**3 - 2/5 + 0*m**b = 0.
-1, 2
Suppose -2/5*c**3 + 2*c**2 + 0 + 48/5*c = 0. What is c?
-3, 0, 8
Let z = -1392481/7 - -197986. Let p = z - -941. Let 12/7*d**3 - 24/7 - p*d + 18/7*d**2 + 2/7*d**4 = 0. Calculate d.
-3, -2, 1
Let k(j) = 4*j**2 - 76*j + 324. Let d = 33 - -48. Let i = 77 - d. Let u(q) = 4*q**2 - 75*q + 324. Let y(x) = i*u(x) + 3*k(x). What is h in y(h) = 0?
9
Let j(l) be the first derivative of -157 + 98/23*l - 1/46*l**4 - 35/23*l**2 - 26/69*l**3. Factor j(t).
-2*(t - 1)*(t + 7)**2/23
Let n be (30/45)/(36/27). Suppose 0*m + 0 + n*m**2 = 0. What is m?
0
Determine d so that 8068*d + 105425936 + 1872*d - 110366116 - 5*d**2 = 0.
994
Factor -437*t**4 - 432*t**2 + 211/2*t + 219/2*t**5 + 1 + 653*t**3.
(t - 1)**4*(219*t + 2)/2
Let l = -106234 + 106240. Factor -39/7 + l*n - 3/7*n**2.
-3*(n - 13)*(n - 1)/7
Let x(t) be the first derivative of 11/4*t**2 - 5/4*t**3 - 1/40*t**5 - 3*t + 79 + 9/32*t**4. Solve x(a) = 0 for a.
2, 3
Let x(w) = 6711*w - 67108. Let n be x(10). Solve 17/3*y + 1/3*y**n + 0 = 0 for y.
-17, 0
Suppose -2*l - 2*f - 