- 5*q**4/72 - 1820*q**2. Find g, given that t(g) = 0.
-1, -1/4, 0, 2, 5
Factor 6/7*d**3 - 32/7*d**2 + 30/7*d + 36/7.
2*(d - 3)**2*(3*d + 2)/7
Let b be 10/24*(-2124)/(-54). Let o = b + -134/9. Suppose o*c**2 - 1/2*c**5 - 1/2*c**3 + c + 0 - 3/2*c**4 = 0. What is c?
-2, -1, 0, 1
Let s be (200/(-72) - -4 - -7*32/(-1008))*0. Factor 5/6*i**2 + s + 40/3*i.
5*i*(i + 16)/6
Suppose 0 = 58*w - 59*w + 10. Factor 16*q**3 - 4*q - w - 12*q**3 - 12*q**2 + 22.
4*(q - 3)*(q - 1)*(q + 1)
Let z(q) = -q**3 + 17*q**2 - 105*q + 147. Let w(y) = y**3 - 33*y**2 + 211*y - 293. Let t(o) = 3*w(o) + 5*z(o). Factor t(n).
-2*(n - 3)*(n - 2)*(n + 12)
Let g(r) = r**2 - 3*r + 3. Let v be g(3). Suppose -25 = 23*c - 18*c + 5*l, -v*l - 15 = -5*c. Determine n, given that c*n**3 + 0 - 4/7*n**2 + 4/7*n**4 + 0*n = 0.
-1, 0, 1
Let d(h) be the second derivative of 2*h**7/21 + 806*h**6/45 + 4533*h**5/5 + 469*h**4 - 17956*h**3/9 - 47*h + 11. Let d(k) = 0. What is k?
-67, -1, 0, 2/3
Let x(k) be the second derivative of k**5/8 + 115*k**4/24 - 775*k**3/6 - 880*k**2 - 1578*k. Factor x(u).
5*(u - 11)*(u + 2)*(u + 32)/2
Let w(l) be the first derivative of -l**6/6 + 7*l**5/5 - 17*l**4/4 + 17*l**3/3 - 3*l**2 - 913. Solve w(v) = 0 for v.
0, 1, 2, 3
Suppose 1367*j - 1354 = 1380. Determine y, given that 14/3*y**4 + 34/15*y**j - 22/15*y**5 - 26/5*y**3 - 4/15*y + 0 = 0.
0, 2/11, 1
Let p(o) be the third derivative of -o**8/336 - 13*o**7/210 - 11*o**6/60 + o**5/30 + 23*o**4/24 + 11*o**3/6 - 2870*o**2. Factor p(z).
-(z - 1)*(z + 1)**3*(z + 11)
Let t(s) be the third derivative of s**9/105840 + s**8/7840 + s**7/2205 + 41*s**4/24 - 5*s**2 + 12*s. Let c(p) be the second derivative of t(p). Factor c(v).
v**2*(v + 2)*(v + 4)/7
Let g(n) = n**4 - 73*n**3 - 291*n**2 + 1353*n - 1022. Let b(u) = -9*u**4 + 585*u**3 + 2331*u**2 - 10821*u + 8178. Let w(z) = -4*b(z) - 33*g(z). Factor w(d).
3*(d - 2)*(d - 1)*(d + 13)**2
Let i be 6/(-4) - 3588/(-2392). Factor -4/5*c**2 + i + 2/5*c**3 - 8/5*c + 1/5*c**4.
c*(c - 2)*(c + 2)**2/5
Suppose 3658*r + 426 = 3800*r. Factor 1/4*h**4 - 9/4*h + 0 - 1/4*h**2 + 9/4*h**r.
h*(h - 1)*(h + 1)*(h + 9)/4
Let s(o) be the second derivative of o**6/6 - 65*o**5/4 + 905*o**4/2 - 2240*o**3/3 - 5120*o**2 + 1832*o. Factor s(i).
5*(i - 32)**2*(i - 2)*(i + 1)
Let y(w) be the third derivative of w**5/120 + 77*w**4/48 + 19*w**3/3 + 767*w**2. Suppose y(c) = 0. Calculate c.
-76, -1
Suppose -10 = -3*s - t, -4 = -305*t + 301*t. Let o(y) be the third derivative of 15*y**2 + 0*y - 1/20*y**5 + s*y**4 - 72*y**3 + 0. Let o(j) = 0. Calculate j.
12
Factor 14280*y**2 + 359/3*y**3 + 561600*y - 576000 + 1/3*y**4.
(y - 1)*(y + 120)**3/3
Let r(x) be the first derivative of 14283*x**4/2 - 9384*x**3 - 825*x**2/4 - 3*x/2 + 2556. Determine a, given that r(a) = 0.
-1/138, 1
Let q = -7/86 - -193/258. Let b = -3/422 + 1715/3798. Factor -2/9*j**2 - q*j - b.
-2*(j + 1)*(j + 2)/9
Let s(p) be the third derivative of p**5/160 + 317*p**4/64 + 79*p**3/4 + 5*p**2 + 16*p. Find b, given that s(b) = 0.
-316, -1
Let s(a) be the third derivative of 0*a + 1/8*a**4 - 1/160*a**5 - 1/960*a**6 - 7/12*a**3 + 26*a**2 + 0. Suppose s(z) = 0. Calculate z.
-7, 2
Let q(n) be the third derivative of -n**5/60 - n**4/3 - 8*n**3/3 - 785*n**2 - 2. Determine b, given that q(b) = 0.
-4
Let x(b) = -247*b - 38. Let m be x(-1). Let z be (-4)/22 + (-380)/m - -4. Factor 10/9 + 8/9*c**z + 14/3*c.
2*(c + 5)*(4*c + 1)/9
Let n(r) be the second derivative of -r**5/210 - 47*r**4/42 - 2209*r**3/21 - 51*r**2 + 178*r. Let u(x) be the first derivative of n(x). Factor u(y).
-2*(y + 47)**2/7
Suppose -584*l + 1639 = 3*l - 122. Let u = 1 + -1. Factor 5/2*v**2 + 1/2*v**4 + u + 2*v**l + v.
v*(v + 1)**2*(v + 2)/2
Let y(b) be the second derivative of 7*b**2 + 0 - 55*b - 1/12*b**4 - 5/6*b**3. Find l such that y(l) = 0.
-7, 2
What is f in 0 + 13/2*f**4 + 113/2*f**3 - 3/2*f**5 - 27*f + 123/2*f**2 = 0?
-3, -2, 0, 1/3, 9
Let i(v) be the second derivative of 3*v**3/2 + 20*v**2 + 166*v. Let s be i(-4). Suppose 0 - 3/2*n**s + 9/2*n**3 + 0*n - 3*n**2 = 0. What is n?
0, 1, 2
Find l such that -1482*l - 11180*l**2 - 4989505*l**3 + 40640425*l**4 - 4 - 1140*l - 74522875*l**5 + 1270*l - 137909*l**2 = 0.
-1/115, 2/7
Let w(c) be the first derivative of 4*c**5/25 - 6*c**4/5 + 16*c**3/15 + 12*c**2/5 - 4*c - 980. Factor w(o).
4*(o - 5)*(o - 1)**2*(o + 1)/5
Suppose 0 = 20*o + 2 - 42. Let -8*j**3 - j**2 + 3*j**2 + 10 + 24*j - 28 - j**4 + 2*j**o - j**4 = 0. Calculate j.
-3, 1
Let q(f) be the second derivative of -f**5/130 - 119*f**4/39 - 4640*f**3/13 + 28800*f**2/13 + 758*f. Factor q(y).
-2*(y - 2)*(y + 120)**2/13
Let u(o) be the second derivative of o**4/4 + 241*o**3/2 - 363*o**2 - 471*o. Factor u(b).
3*(b - 1)*(b + 242)
Let w(p) be the third derivative of p**8/21 + 26*p**7/105 + 11*p**6/30 + 2*p**5/15 - 652*p**2. Let w(t) = 0. Calculate t.
-2, -1, -1/4, 0
Let h(i) = -i**3 + 14*i**2 - 14*i + 17. Let l be (-12)/(-21) + (-880)/(-77) + 1. Let v be h(l). Find o such that -9/4*o**2 + 3/4*o**v - 3/2*o + 0 + 0*o**3 = 0.
-1, 0, 2
Let z(c) be the third derivative of -c**6/84 + 17*c**5/210 - c**4/14 - 3*c**2 - 11*c. Factor z(f).
-2*f*(f - 3)*(5*f - 2)/7
Let c(y) be the third derivative of y**5/420 - 19*y**4/168 - 901*y**3/21 - 8*y**2 - 11*y - 5. Solve c(x) = 0 for x.
-34, 53
Let r(l) be the first derivative of l**5 - 275*l**4/2 + 1060*l**3 - 3140*l**2 + 4160*l + 2013. Factor r(j).
5*(j - 104)*(j - 2)**3
Let t(r) be the third derivative of r**8/4032 + r**7/63 + 4*r**6/9 - 7*r**5/60 - 5*r**2 + 3*r. Let b(s) be the third derivative of t(s). Solve b(f) = 0 for f.
-8
Let i be 0/(2/(-10) - 288/160). Let n(d) be the second derivative of -17*d - 1/14*d**4 + 1/35*d**5 + i - 1/210*d**6 + 2/21*d**3 - 1/14*d**2. Factor n(u).
-(u - 1)**4/7
Let z(b) be the first derivative of 3*b**5/25 - 3*b**4/5 - 37*b**3/5 - 102*b**2/5 - 108*b/5 - 2988. Let z(c) = 0. Calculate c.
-2, -1, 9
Let q = 1059 - 1063. Let z(g) = -g**3 - 7*g**2 - 13*g - 3. Let r be z(q). Find d, given that -1/4*d + 1/4*d**3 + r - d**2 = 0.
-1, 1, 4
Suppose 84*h - 148*h + 1110 = -27*h. Factor h*j + 108 + 2/3*j**3 - 32/3*j**2.
2*(j - 9)**2*(j + 2)/3
Find z, given that 0 - 5/3*z**5 - 155/3*z**4 - 270*z**3 - 1540/3*z**2 - 1000/3*z = 0.
-25, -2, 0
Let t = 4246517/9 + -471813. Factor -2/9*u**2 - t - 40/9*u.
-2*(u + 10)**2/9
Let z(g) be the third derivative of -g**8/2016 + g**7/126 - 2*g**6/45 + 4*g**5/45 + 979*g**2. Factor z(x).
-x**2*(x - 4)**2*(x - 2)/6
Let u = 148 - 94. Factor -4*s**4 + 29*s**2 + 1 - u*s**2 - 1 + 3*s - 2*s**3 + 29*s**2 - s**5.
-s*(s - 1)*(s + 1)**2*(s + 3)
Let y(m) = -6*m**2 - 126*m - 345. Let b(w) = -w**2 - w - 1. Let h(x) = -3*b(x) + y(x). Factor h(f).
-3*(f + 3)*(f + 38)
Let d(r) be the second derivative of -r**6/720 + r**5/90 - r**4/36 - 55*r**2/2 - 51*r. Let s(i) be the first derivative of d(i). Suppose s(u) = 0. What is u?
0, 2
Let y(m) = -5*m - 59. Let u be y(-13). Let l be ((-18)/u - -4)*1 - 1. Determine x so that l + 2/7*x**2 + 4/7*x = 0.
-2, 0
Let o(f) be the second derivative of f**6/120 - f**5/12 + f**4/4 + 59*f**2/2 - 71*f. Let w(j) be the first derivative of o(j). Solve w(d) = 0 for d.
0, 2, 3
Suppose 0 = -j + 4*b - 266, 318 + 178 = -2*j - b. Let z = j - -252. Factor 16/9 + 8/9*w + 1/9*w**z.
(w + 4)**2/9
What is o in -13*o**5 - 4380*o**3 - 16414*o**4 + 8*o**5 - 12600*o**2 + 16004*o**4 = 0?
-70, -6, 0
Let c(k) be the first derivative of k**4 + 1/120*k**6 - 3/20*k**5 - 14*k**2 + 0*k + 29 - 8/3*k**3. Let f(h) be the second derivative of c(h). Factor f(j).
(j - 4)**2*(j - 1)
Let f be (-26)/11232*856 + 2/1. Let h(j) be the third derivative of -25*j**2 - 7/18*j**4 + 0*j + 16/27*j**3 + f*j**5 + 0. Factor h(u).
2*(u - 8)*(5*u - 2)/9
Let y(k) be the second derivative of k**4/3 - 5500*k**3/3 + 3781250*k**2 - 2730*k. Suppose y(i) = 0. What is i?
1375
Let t(b) = 27*b**2 + 274*b + 43. Let n be t(-10). Let f(g) be the first derivative of 12/7*g - 2/21*g**n - 5/7*g**2 - 2. Factor f(p).
-2*(p - 1)*(p + 6)/7
Let x = 17 - 8. Let b be 10/(-6)*(-9)/15*2. Determine h so that -14*h**2 - x*h**2 + 12*h**2 - 16*h**b + 12 = 0.
-2/3, 2/3
Determine s, given that 560/3*s**4 - 4/3*s**5 + 4640/3*s**3 + 14080/3*s**2 + 18880/3*s + 9472/3 = 0.
-2, 148
Let m be 148410/37345 + 12/462. Factor 15*a - 3/4*a**m + 27/4*a**3 + 0 - 18*a**2.
-3*a*(a - 5)*(a - 2)**2/4
Let h = 