73*l. Determine t so that 237/4*t**2 - 3/4*t**5 - j*t + 111/4*t**3 - 300 - 9/4*t**4 = 0.
-5, -1, 4
Let k(h) be the third derivative of h**5/12 + 95*h**4/8 - 295*h**3/3 + 3*h**2 + 98*h. Factor k(t).
5*(t - 2)*(t + 59)
Let w(o) be the second derivative of 0*o**5 + 0 + 0*o**2 + 0*o**4 + 1/360*o**6 + 2/3*o**3 + 2*o. Let k(n) be the second derivative of w(n). Factor k(y).
y**2
Let -85*x**3 + 158*x**3 - 4761 - 72*x**3 - 124*x**2 - 1189*x + 6088*x - 15*x**2 = 0. Calculate x.
1, 69
Let o(m) be the first derivative of m**4/4 + 20*m**3/3 + 79*m**2/2 + 60*m + 14551. Factor o(n).
(n + 1)*(n + 4)*(n + 15)
Suppose 25 = 4*w + 5*g - 9, 4*g + 10 = 3*w. Find o such that 24*o - o**2 - 8*o**2 + 29*o**2 - w*o**2 - 8 = 0.
-2, 2/7
Let a(b) = 7*b**2 - 4*b - 1. Let k(s) = 15*s**2 - 8*s - 3. Let t(h) = 9*a(h) - 4*k(h). Let q be t(1). Factor -q*l + 11*l + 0*l**2 - l**2 - 2*l**2.
-3*l*(l - 3)
Let u(c) be the second derivative of c**4/60 - 13*c**3/15 + 69*c**2/10 - 1750*c. Solve u(y) = 0 for y.
3, 23
Let a(d) be the first derivative of 3*d**5/5 - 45*d**4/4 + 38*d**3 - 36*d**2 + 397. Factor a(i).
3*i*(i - 12)*(i - 2)*(i - 1)
Find w, given that 1/4*w**3 + 81/2*w**2 + 0 + 6561/4*w = 0.
-81, 0
Suppose 16*l + 14 = -50. Let n(x) = -89*x**2 - 203*x - 11. Let o(a) = -86*a**2 - 204*a - 12. Let w(f) = l*n(f) + 3*o(f). Let w(g) = 0. Calculate g.
-2, -2/49
Suppose 8*w - 1 = 9*w. Let i be 42/98 - -6*w/14. Find q such that i - 2*q - q**2 - 4 - 3*q + 10*q = 0.
1, 4
Let n be 266/28 + 17816/(-1904). Factor n*c**2 + 10/7*c - 11/7.
(c - 1)*(c + 11)/7
Let b(p) = 52502*p - 1 - 26245*p - 26258*p. Let m(x) = -29 + 43 + 46 + x**2 - 20*x. Let c(f) = 4*b(f) - m(f). Factor c(w).
-(w - 8)**2
Let o(q) be the third derivative of -q**6/540 + 49*q**5/90 - 35*q**2. Factor o(w).
-2*w**2*(w - 147)/9
Let j(k) = 23*k - 103. Let v be j(8). Factor -327 + v*z**3 - 75*z**2 - 158*z**3 + 82 + 82*z**3 + 315*z.
5*(z - 7)**2*(z - 1)
Let b(y) = -2*y**3 + 3*y**2 + 5*y + 2. Let x be b(-1). Let 24*g + 3 - x - 1 + 9*g**2 - 22*g = 0. Calculate g.
-2/9, 0
Let p(x) be the first derivative of 0*x + 5/48*x**4 + 5*x**2 - 38 - 1/120*x**5 - 1/3*x**3. Let c(w) be the second derivative of p(w). Factor c(m).
-(m - 4)*(m - 1)/2
Let j(o) be the second derivative of -7*o**6/80 + 99*o**5/160 + 103*o**4/16 - 21*o**3/2 - 12*o**2 - 6900*o. Find s, given that j(s) = 0.
-4, -2/7, 1, 8
Let o(b) be the third derivative of b**7/1365 - 121*b**6/780 - 123*b**5/130 - 371*b**4/156 - 124*b**3/39 + 1080*b**2. Factor o(v).
2*(v - 124)*(v + 1)**3/13
Let n be 1*4*(-34 + 12080/352)/7. Solve 2/11*b**4 + 0 + 0*b**2 + 0*b - 4/11*b**3 + n*b**5 = 0 for b.
-2, 0, 1
What is i in 5*i**4 + 53*i + 39*i - 88*i + 23*i**3 - 7*i**5 + 4 - 28*i**2 - i**2 = 0?
-2, -2/7, 1
Factor 1/2*s**2 - 320 - 159*s.
(s - 320)*(s + 2)/2
Let i(v) be the third derivative of -v**8/168 + 62*v**7/105 - 3*v**6 + 89*v**5/15 - 59*v**4/12 - 15*v**2 + 12*v. Factor i(h).
-2*h*(h - 59)*(h - 1)**3
Let l be 15/((-270)/132)*(-12)/2. Factor -18 - 3*k**3 - 5*k**4 + 3*k**4 + 3*k**3 + 16*k**3 + 48*k - l*k**2.
-2*(k - 3)**2*(k - 1)**2
Let s = 378618668/603665 - -4/120733. Factor -36/5*i**2 - s + 672/5*i.
-4*(3*i - 28)**2/5
Let g(v) be the second derivative of -v**8/1344 + 5*v**7/168 - 37*v**4/12 + 3*v**2/2 - 65*v. Let f(w) be the third derivative of g(w). Factor f(d).
-5*d**2*(d - 15)
Let a(q) be the first derivative of -2*q**3/3 - 370*q**2 - 68450*q - 1266. Factor a(g).
-2*(g + 185)**2
Factor -67042 + 1024*k - 30*k**2 + 64*k**2 + 1506 - 5*k**2 - 33*k**2.
-4*(k - 128)**2
Let p(b) = b**4 + 2*b**3 - 4*b**2 - 4*b. Let l(y) = y**4 + 2*y**3 - 3*y**2 - 5*y. Let o(f) = -4*l(f) + 5*p(f). Factor o(j).
j**2*(j - 2)*(j + 4)
Let a(g) be the third derivative of -1/3*g**6 - 15/4*g**4 + 0*g - 185*g**2 + 7/4*g**5 + 0 + 1/42*g**7 + 0*g**3. Factor a(r).
5*r*(r - 3)**2*(r - 2)
Let m = 322 - 307. Factor 370*n**3 + 1484*n**2 - 70 + 5*n**5 - 2014*n**2 - m + 345*n - 105*n**4.
5*(n - 17)*(n - 1)**4
Let q be 8/6 - (-323)/(-51) - 6*(-117)/108. Factor q*f**2 + 72*f + 864.
3*(f + 24)**2/2
Let i = -12/245 + 281/735. Let k(v) be the second derivative of i*v**4 + 0*v**2 + 0 - 7*v + 4/3*v**3. Factor k(g).
4*g*(g + 2)
Suppose r = 2*f - 6, -r - 18 = -4*f - 2*r. Suppose f*k - 28 = -10*k. Factor -2 + 6 - 2*v**4 - 113*v**k + 6*v**3 - 6*v + 111*v**2.
-2*(v - 2)*(v - 1)**2*(v + 1)
Factor -2*m**3 - 3/2*m**2 - 1/4*m**4 + 2*m + 7/4.
-(m - 1)*(m + 1)**2*(m + 7)/4
Let q = -19 - -21. Solve -3*f**3 + 0*f**2 - 11*f**2 - 76*f - 41*f**q - f**3 + 132 = 0 for f.
-11, -3, 1
Let m(i) = -51*i**2 - 4164*i - 16680. Let p(d) = -5*d**2 - 417*d - 1668. Let y(u) = -2*m(u) + 21*p(u). Factor y(z).
-3*(z + 4)*(z + 139)
Let d be 201/(-1485)*-2 - (-9 + (-1111)/(-121)). Let o(i) be the second derivative of 0*i**2 - 1/135*i**6 + 12*i + 0 - 8/27*i**4 + d*i**5 + 0*i**3. Factor o(z).
-2*z**2*(z - 4)**2/9
Let s(i) be the first derivative of i**7/280 + i**6/60 + i**5/40 - 5*i**3/3 - 3*i - 23. Let q(d) be the third derivative of s(d). Find f, given that q(f) = 0.
-1, 0
Let v be ((-10)/36)/(861/(-84) + 9). Let i(z) be the first derivative of -5 + 4/15*z + v*z**3 + 7/15*z**2. What is b in i(b) = 0?
-1, -2/5
Solve -245/2 + 1939/4*d - d**3 + 85/4*d**2 = 0.
-14, 1/4, 35
Let x(s) be the second derivative of 5*s**4/4 - 207*s**3/4 - 189*s**2/4 + 224*s. Find t, given that x(t) = 0.
-3/10, 21
Let u = 221498 - 221498. Factor -12/7*r**2 + 0 + u*r - 2/7*r**3 + 2/7*r**4.
2*r**2*(r - 3)*(r + 2)/7
Suppose -199*k = -189*k - 200. Let w(b) = 22*b**2 - 42*b + 86. Let u(s) = -2*s**2 + s + 1. Let t(q) = k*u(q) + 2*w(q). Solve t(c) = 0.
4, 12
Let y(p) = -43*p**2 + 14788*p + 1380. Let z be y(344). Factor -8/5*a**2 + 4/5*a**5 + 12*a - 64/5*a**3 + 32/5 - 24/5*a**z.
4*(a - 8)*(a - 1)*(a + 1)**3/5
Factor -113*r + 5*r**2 - 180075 - 1357*r - 8*r**2.
-3*(r + 245)**2
Let d = 911/55 - 81/5. Let m(s) be the second derivative of -1/110*s**5 + 7/33*s**3 + 0 - 1/33*s**4 - d*s**2 - 3*s. Factor m(u).
-2*(u - 1)**2*(u + 4)/11
Let w be 6/4*140/630 - (-15 + 10). Let g be ((-208)/18)/((-4)/6). Factor w*v**5 + 0 - 16*v**4 + 4/3*v + g*v**3 - 8*v**2.
4*v*(v - 1)**2*(2*v - 1)**2/3
Let f be (2/(-20)*-22 - 24*25/200)*-62. Factor 2/5*l**2 + 7688/5 - f*l.
2*(l - 62)**2/5
Let h(f) = -135*f**2 + 351*f + 98. Let z(w) = 45*w**2 - 116*w - 33. Let q(t) = 3*h(t) + 8*z(t). Suppose q(g) = 0. What is g?
-2/9, 3
Let x = 2657/3972 - 3/1324. Let g(z) be the first derivative of 2/9*z**3 + 0*z - x*z**2 + 6. What is y in g(y) = 0?
0, 2
Let r(k) be the first derivative of -21*k + 8/7*k**2 + 2/21*k**3 - 11 - 1/42*k**4. Let f(z) be the first derivative of r(z). Factor f(p).
-2*(p - 4)*(p + 2)/7
Let p(j) = -j**3 + 12*j**2 + 13721*j - 137410. Let g be p(10). What is o in 5/3*o - 4*o**2 + 7/3*o**3 + g = 0?
0, 5/7, 1
Let v(c) be the first derivative of -c**3/9 + 125*c**2/6 - 124*c/3 - 2496. Factor v(n).
-(n - 124)*(n - 1)/3
Let w(i) be the second derivative of -2/45*i**5 - 4/135*i**6 + 2/189*i**7 - 1 + 2/27*i**3 - 19*i - 4/9*i**2 + 4/27*i**4. Determine j, given that w(j) = 0.
-1, 1, 2
Find u, given that -8*u + 2*u**3 + 5/2 - 17/2*u**2 = 0.
-1, 1/4, 5
Let h(u) be the second derivative of -5*u**7/84 + 55*u**6/4 + 671*u**5/8 + 1405*u**4/8 + 845*u**3/6 - 523*u. Find k, given that h(k) = 0.
-2, -1, 0, 169
Suppose -4*w = -5*f + 11, -f + 363 = -w + 361. Factor -16/5 + 1/5*t**4 + 28/5*t - 12/5*t**2 - 1/5*t**f.
(t - 2)**2*(t - 1)*(t + 4)/5
Let m(d) = -171*d - 59. Let i be m(5). Let z = -912 - i. Factor -8/11*o + 6/11 + 2/11*o**z.
2*(o - 3)*(o - 1)/11
Let q(t) be the third derivative of -t**7/280 + 3*t**6/4 - 1739*t**5/40 - 915*t**4/4 - 3721*t**3/8 + t**2 + 612*t. Determine n, given that q(n) = 0.
-1, 61
Let b(n) be the third derivative of n**8/30240 - n**7/945 - n**6/54 - n**5/60 + n**3/6 - 3*n**2 - 3. Let r(k) be the third derivative of b(k). Factor r(z).
2*(z - 10)*(z + 2)/3
Suppose 0 = 860*i - 858*i - 8. Let j(h) be the third derivative of 1/6*h**i + 0*h + 0 - 9*h**2 - 1/15*h**5 + 1/120*h**6 + 0*h**3. Factor j(c).
c*(c - 2)**2
Suppose -10665 = -389*q + 404*q. Let h be -4*(11 - q/(-63)). Solve 8/7 - 2/7*r**2 + h*r - 2/7*r**3 = 0 for r.
-2, -1, 2
Let x(w) = 28570*w + 3. Let m be x(0). Let 2/7*n**m - 38/7*n - 4 - 8/7*n**2 = 0. Calculate n.
-2, -1, 7
Suppose -4*z = 2*b - 2, 7*b = 2*b - 25. Suppose 2 = 4*u + 2*c, -6*c + z*c = -4*u + 17. Factor -1 + f**2 +