3. Suppose a(l) = 0. What is l?
2, 5
Let o(g) be the first derivative of -2*g**3/33 + 772*g**2/11 - 297992*g/11 + 490. Solve o(h) = 0.
386
Let b(a) be the first derivative of -7*a + 1/5*a**5 - 3*a**2 + 15 + 5/6*a**4 - 4/3*a**3. Let k(i) be the first derivative of b(i). Factor k(t).
2*(t - 1)*(t + 3)*(2*t + 1)
Let x = -40435/3 + 202223/15. Find u, given that -x + 88/5*u - 121/5*u**2 = 0.
4/11
Let v(a) be the first derivative of -a**4 + 824*a**3/3 - 410*a**2 - 8756. Suppose v(s) = 0. Calculate s.
0, 1, 205
Let v = -2133629 - -2133629. Factor 25/6 + v*k - 1/6*k**2.
-(k - 5)*(k + 5)/6
Let l be 34/7 - 39/(-273). Let n be (-9)/l - (-7 - -2). Factor -n*k + 32/5*k**2 + 2/5.
2*(4*k - 1)**2/5
Let o(r) be the third derivative of r**7/70 - 9*r**6/40 - r**5/2 - 4207*r**2. Suppose o(l) = 0. What is l?
-1, 0, 10
Let b(y) be the first derivative of -3*y**5/10 - 165*y**4/4 - 425*y**3/2 - 75*y**2 + 954*y + 6407. Determine p, given that b(p) = 0.
-106, -3, -2, 1
Suppose 33 = b - 11*q + 10*q, 0 = 2*b + q - 72. Let y be (5/b)/((-18)/(-42)). Factor 0*h - 1/3*h**2 - y*h**3 + 0.
-h**2*(h + 1)/3
Let u = 260 + -272. Let h be (-6)/9 - 14/u. Factor 0 - 1/4*k**2 - h*k.
-k*(k + 2)/4
Let m = 1/174 - -2173/348. Let k be 1/((-2)/(-5) + (-20)/300). Factor 0*d + m*d**2 + 1/4*d**4 + 0 + 5/2*d**k.
d**2*(d + 5)**2/4
Let g(k) be the first derivative of 105 + 8*k**3 + 0*k - 27/4*k**4 + 3/5*k**5 + 0*k**2. Factor g(o).
3*o**2*(o - 8)*(o - 1)
Let v = -177 + 181. Determine w so that -88*w**2 + 24*w**3 - 40*w**2 + 0*w**4 + 4*w**v + 68*w**2 + 32*w = 0.
-8, 0, 1
Let f(t) be the third derivative of -16/3*t**3 + 0*t + 0 + 17/12*t**4 + 108*t**2 - 1/30*t**5. Factor f(u).
-2*(u - 16)*(u - 1)
Let p be (-30)/(-4)*((-4536)/(-175))/18. Solve -2/5*v**2 + p - 12/5*v = 0.
-9, 3
Let q(y) be the third derivative of y**7/490 - 29*y**6/280 + 41*y**5/70 + 477*y**4/14 + 1620*y**3/7 + 4480*y**2. Find t such that q(t) = 0.
-5, -2, 18
Suppose 212*y = -194*y + 593*y - 205*y. Let n(u) be the first derivative of 0*u + y*u**2 + 1/15*u**4 - 10 - 2/75*u**5 + 0*u**3. Let n(a) = 0. What is a?
0, 2
Let z(t) = -86*t + 267. Let g be z(-22). Let v = g + -2157. Factor -9/2*j - 15/4 - 3/4*j**v.
-3*(j + 1)*(j + 5)/4
Let m = 4480 + -2418. Let y = m - 2050. Suppose -24*k + 24 + 12*k**3 + 3/2*k**4 - 3/2*k**5 - y*k**2 = 0. Calculate k.
-2, 1, 2
Let v(p) be the third derivative of -p**5/330 - 25*p**4/22 - 584*p**3/33 - 4385*p**2. Determine a so that v(a) = 0.
-146, -4
Let r be (-2 + 0)/((-1)/18). Suppose -7 + r*c**4 + 207*c**3 - 4*c**5 + 44*c**2 - 123*c**3 + 7 = 0. What is c?
-1, 0, 11
Let g be 4/(-72)*9/(-228). Let a = 341/456 + g. Determine w so that 1/4*w**3 - 1/2 + a*w**2 - 1/4*w - 1/4*w**4 = 0.
-1, 1, 2
Factor -34*g**3 + 2432*g - 960*g + 2*g**4 + 3288*g - 276*g**2 + 19526 + 8796 - 6*g**3.
2*(g - 17)**2*(g + 7)**2
Let u be (-40)/(-24)*(-846)/(-30). Let r = -187/4 + u. What is j in -1/4*j**4 - 1/4*j**3 + 0*j + 0 + 1/4*j**2 + r*j**5 = 0?
-1, 0, 1
Suppose 650/3 + 5/3*c**3 - 33*c**2 + 1/3*c**4 + 115/3*c = 0. What is c?
-13, -2, 5
Let o = 5/17 - 8/85. Let f be (0/(-4))/(96/(-112)*(-7)/2). Factor 1/5*c + o*c**2 + f.
c*(c + 1)/5
Let v(b) = -71*b**2 + 9869*b. Let o be v(139). Factor o*q + 2/7*q**3 + 0 + 4/7*q**4 + 0*q**2 + 2/7*q**5.
2*q**3*(q + 1)**2/7
Let o(w) be the second derivative of 1/21*w**4 + 19*w + 22/7*w**2 - 9 - 8/7*w**3. Determine f so that o(f) = 0.
1, 11
Let x(g) be the second derivative of -g**5/40 - 11*g**4/8 + 137*g**3/6 - 60*g**2 - 863*g. Factor x(a).
-(a - 6)*(a - 1)*(a + 40)/2
What is w in -10/7*w**3 + 0 - 24/7*w**2 + 1/7*w**4 + 0*w = 0?
-2, 0, 12
Let x(m) = 4*m**4 + 422*m**3 - 46222*m**2 + 133066*m + 179771. Let v(f) = -f**4 + f**3 + 2*f**2 + 14*f + 1. Let d(c) = 5*v(c) + x(c). What is s in d(s) = 0?
-1, 4, 212
Let u(g) be the third derivative of 0*g**3 - 9*g**2 - 3/50*g**6 + 27/25*g**5 + 1/1050*g**7 - 4*g + 0*g**4 + 0. Let u(k) = 0. Calculate k.
0, 18
Let j(f) be the third derivative of f**5/330 + 25*f**4/66 + 32*f**3/11 - 324*f**2 - f. Find z, given that j(z) = 0.
-48, -2
Let l(a) be the first derivative of 104*a**3/15 - 21*a**2 - 216*a/5 + 650. Determine t so that l(t) = 0.
-3/4, 36/13
Let a(m) be the first derivative of -m**5 + 20*m**3/3 + 10*m**2 + 5*m - 288. Let q(d) = 14*d**3 + 1 - 30*d**3 + 17*d**3. Let l(f) = a(f) - 5*q(f). Factor l(k).
-5*k*(k - 2)*(k + 1)*(k + 2)
Let s(j) = -5*j**3 - 2*j**2 - 11*j - 6. Suppose 3*d = -40 + 22. Let o(h) = 4*h**3 + h**2 + 10*h + 5. Let x(r) = d*o(r) - 5*s(r). Find u, given that x(u) = 0.
-5, 0, 1
Factor -142*b - 307*b + 0*b**2 + 25*b + 44944 + 0*b**2 + b**2.
(b - 212)**2
Let -380/7*s**2 + 164/7*s**4 + 312/7*s**3 - 16*s + 16/7*s**5 + 0 = 0. What is s?
-7, -4, -1/4, 0, 1
Let s = 102 - 37. Factor -2267 + 267 - 77*n - 5*n**2 - 58*n - s*n.
-5*(n + 20)**2
Let m be (10/(-6))/(18/54) - -4. Let u be (9 - 9)/(2 + m). Factor u*w - 2/5 + 2/5*w**2.
2*(w - 1)*(w + 1)/5
Let n(h) = 4*h**2 - 2*h + 10. Suppose 15*z + 36 = 12*z. Let m = z + 17. Let d(x) = -3*x**2 + 2*x - 9. Let p(g) = m*n(g) + 6*d(g). Factor p(v).
2*(v - 1)*(v + 2)
Let s(u) be the second derivative of -u**7/147 + u**5/35 - u**3/21 - 131*u - 6. Find r, given that s(r) = 0.
-1, 0, 1
Let l(t) be the third derivative of 2*t**7/525 + 8*t**6/75 + 13*t**5/25 - 3327*t**2. Factor l(b).
4*b**2*(b + 3)*(b + 13)/5
Factor 493*u + 4*u**2 + 346 - 8*u**2 - 1876*u.
-(u + 346)*(4*u - 1)
Solve -13/5*q**2 + 0 - 1/5*q**4 - 16/5*q**3 + 6*q = 0 for q.
-15, -2, 0, 1
Let b(k) be the third derivative of k**7/630 - k**6/5 + 3356*k**2. Factor b(y).
y**3*(y - 72)/3
Suppose 193*d - 381 = 36 + 355. Let o(c) be the third derivative of 0 - 1/3*c**3 + 0*c + 1/6*c**d - 1/30*c**5 + 20*c**2. Suppose o(t) = 0. What is t?
1
Solve -202208*n**2 + 2846/5*n**3 + 0 - 1013888/5*n - 2/5*n**4 = 0 for n.
-1, 0, 712
Let g = 1807 + -45193/25. Let s = -47/100 - g. Factor -o - s*o**2 - 1.
-(o + 2)**2/4
Let r be -4 + 31 - (56 - 928/29). Suppose -20 - 2*b + 66/5*b**2 - 22/5*b**r + 2/5*b**4 = 0. Calculate b.
-1, 2, 5
Let i = -223/9 + 449/18. Let m(f) be the second derivative of 0 - 5/36*f**4 - 5/126*f**7 - 24*f - 1/4*f**5 + 0*f**2 + 0*f**3 - i*f**6. Factor m(z).
-5*z**2*(z + 1)**3/3
Suppose 0 = -2*t + 4*u + 70, 2*t + 16*u = 11*u - 74. Factor 16/5*p**2 - 7/10*p**5 + 8/5*p + 4*p**4 - 36/5*p**t + 0.
-p*(p - 2)**3*(7*p + 2)/10
Let h(f) = f**2 + 15*f - 54. Let j be h(-18). Let o be j*(21/(-56))/((-3)/(-4)). Factor o*s**2 - 6/7*s**4 + 2/7*s**3 + 0 + 0*s.
-2*s**3*(3*s - 1)/7
Suppose 174*f + 0 - 1/6*f**2 = 0. What is f?
0, 1044
Let o(n) be the third derivative of 9*n**8/112 + 2631*n**7/70 + 257539*n**6/40 + 1710789*n**5/4 + 1383123*n**4 + 1825346*n**3 - 337*n**2. Factor o(a).
3*(a + 97)**3*(3*a + 2)**2
Let u = -5 + 8. Let b = 49364 + -148082/3. Factor -6*l**2 + 0 - b*l**u + 4/3*l.
-2*l*(l + 2)*(5*l - 1)/3
Let w(l) be the third derivative of -l**5/300 + 7*l**4/120 + 22*l**3/15 - 23*l**2 - 21*l. Let w(j) = 0. Calculate j.
-4, 11
Let y(u) be the third derivative of -u**6/780 - 2*u**5/195 + 7*u**4/52 + u**2 + u - 4256. Determine x, given that y(x) = 0.
-7, 0, 3
Factor -1/5*d**2 - 162 - 167/5*d.
-(d + 5)*(d + 162)/5
Let s(o) be the first derivative of 2*o**5/3 - 13*o**4/3 - 80*o**3/9 + 78*o**2 - 30*o - 1882. Suppose s(b) = 0. Calculate b.
-3, 1/5, 3, 5
Let c(k) be the first derivative of -14/15*k**3 - 41 + 26/5*k**2 + 16/5*k. Factor c(x).
-2*(x - 4)*(7*x + 2)/5
Let -837/2*u**2 + 918*u + 31/2*u**4 - 3*u**3 - 162 = 0. Calculate u.
-6, 6/31, 3
Suppose 0 = -3*i - 3, -212 = 4*s + i + 49. Let w = -60 - s. Determine c, given that -w*c - 30*c**2 + 43*c**3 - 38*c**3 - 7*c + 72*c - 40 = 0.
2
Let d be (26676/190)/(6/160). Solve -d - 1066*r - 16736 + 817*r + 889*r - 5*r**2 = 0.
64
Let y(m) be the third derivative of -m**8/588 + 4*m**7/245 + 6*m**6/35 + 8*m**5/21 - 1331*m**2. Determine f, given that y(f) = 0.
-2, 0, 10
Let i(c) be the first derivative of 5/3*c**2 - 5/6*c**4 - 45 - 8/3*c + 2/15*c**5 + 2/3*c**3. Factor i(r).
2*(r - 4)*(r - 1)**2*(r + 1)/3
Let m(o) = -2*o**3 + 4*o**2 + 4*o + 3. Let z(s) = -s**3 - 4*s + 697*s**2 - 698*s**2 + 3*s. Let q(d) = m(d) - 5*z(d). Factor q(n).
3*(n + 1)**3
Factor 18*z**2 - 6*z**2 - 659*z - 2142 + 4*z**2 - 13*z**2 - 46*z.
3*(z - 238)*(z + 3)
Factor -9938375 + 138675*c - 140*c**2 + 10465*c**3 - 10464*c**3 - 505*c**2.
(c - 215)**3
Let v = 732 - 266. Factor 8*l**4 