= 0. What is s?
1375
Factor 1444/13 + 2512/13*w**2 + 66/13*w**3 + 23978/13*w.
2*(w + 19)**2*(33*w + 2)/13
Let q(j) be the first derivative of j**6/6 - 2*j**5/5 - 17*j**4/4 + 70*j**3/3 - 46*j**2 + 40*j - 15. Factor q(o).
(o - 2)**3*(o - 1)*(o + 5)
Let x = 5846 + -5843. Let g(n) be the third derivative of 0 + 1/7*n**x + 0*n**4 - 7*n**2 + 0*n - 1/70*n**5. Suppose g(i) = 0. Calculate i.
-1, 1
Let f(m) = 4*m**3 - 1 + 2*m**2 + m**2 - 4*m + 4*m. Let k(b) = 5*b**3 + 4*b**2 + b - 2. Suppose -24*h + 39 = -11*h. Let v(o) = h*k(o) - 4*f(o). Factor v(z).
-(z - 1)**2*(z + 2)
Let l be 4 + (4/(-8) + 0 - (-30)/(-20)). Let p(g) be the second derivative of -5/66*g**4 - 1/110*g**5 - 4*g - 8/33*g**3 + 0 - 4/11*g**l. What is u in p(u) = 0?
-2, -1
Let b(a) be the second derivative of -1/33*a**4 - 13*a + 0*a**2 + 1/110*a**5 - 1/11*a**3 + 2. Determine p so that b(p) = 0.
-1, 0, 3
Let l be (-4)/(-26) - (567/(-2106))/(9/6). Let i(u) be the first derivative of 2*u**2 + l*u**3 + 4*u + 38. Solve i(c) = 0 for c.
-2
Let z(i) = -i**2 + 357*i + 4431. Let f be z(-12). Let 2/3*h - h**f + 1/3*h**5 + 1/3*h**4 + 0 - 1/3*h**2 = 0. Calculate h.
-2, -1, 0, 1
Let g(c) be the third derivative of c**5/60 + 29*c**4 + 695*c**3/6 - 3*c**2 - 141*c + 1. Factor g(s).
(s + 1)*(s + 695)
Let g(h) be the second derivative of h**4/66 - 8*h**3/3 - 180*h**2/11 - 145*h + 2. Factor g(p).
2*(p - 90)*(p + 2)/11
Let -8*d**3 - 86311*d**2 - 30 - 54 + 2*d**4 - 36 + 86261*d**2 + 176*d = 0. What is d?
-5, 1, 2, 6
Let g(r) be the third derivative of -r**6/24 + 29*r**5/6 - 4205*r**4/24 + 23*r**2 + 7*r. Determine b so that g(b) = 0.
0, 29
Suppose -k - 5*i + 12 = -10*i, 5*i + 18 = 4*k. Solve -41*a**2 + 12 - 47*a**k - 39*a**2 + 124*a**2 = 0 for a.
-2, 2
Let 12348*q - q**2 + 15963398 + 3*q**2 + 333590 + 2762150 = 0. Calculate q.
-3087
Let y(m) = m**3 + 3*m**2 - 10*m + 11. Let w be y(-5). Let v(t) be the second derivative of 0 + 1/60*t**4 + 0*t**2 - w*t - 2/15*t**3. Solve v(s) = 0 for s.
0, 4
Let i(g) be the second derivative of g**2 + 1/2*g**4 + 2/15*g**5 - 9*g + 0*g**3 + 0. Let j(d) be the first derivative of i(d). Factor j(y).
4*y*(2*y + 3)
Suppose 0 = -2*o + 5*s + 40, -55 = -2*o + 4*s - 23. Factor o - 1/4*k**2 - 1/2*k.
-k*(k + 2)/4
Let x(f) be the second derivative of -f**4/3 + 7*f**3/6 - 3*f**2/2 - 5157*f. Factor x(b).
-(b - 1)*(4*b - 3)
Suppose 48 + 1682/5*s**3 + 6968/5*s + 50692/5*s**2 = 0. Calculate s.
-30, -2/29
Let d(k) be the second derivative of k**8/1680 + k**7/210 - k**6/360 - k**5/30 + 55*k**3/6 - 90*k. Let m(n) be the second derivative of d(n). Factor m(f).
f*(f - 1)*(f + 1)*(f + 4)
Let w(q) be the third derivative of -q**5/60 - 5*q**4/24 + 5*q**3 + 23*q**2. Let c be w(-7). Find b, given that -6 + 5*b + 40*b**2 - 49*b**2 + c*b = 0.
1/3, 2
Let p(a) be the first derivative of a**4/3 + 176*a**3/3 + 3872*a**2 + 154*a - 260. Let f(b) be the first derivative of p(b). Solve f(w) = 0 for w.
-44
Let f be 14/(10906/4237) - 12/2. Let x = f + 284/287. Factor 0 + x*p**5 - 12/7*p**2 + 18/7*p**3 - 12/7*p**4 + 3/7*p.
3*p*(p - 1)**4/7
Let m(p) be the first derivative of p**5/10 + 149*p**4/8 + 1272*p**3 + 36288*p**2 + 276480*p + 2401. Solve m(o) = 0 for o.
-48, -5
Let b = -1/16529 + 330583/49587. Let t(r) be the first derivative of 35/2*r**2 - 21 + b*r**3 - 10*r. Factor t(p).
5*(p + 2)*(4*p - 1)
Suppose 15*j = -4*n + 10*j + 22, -5*j + 25 = 5*n. Let a be (10 - 48/5)*10. Factor 48/5*t**2 + 0 - 24/5*t**n + 0*t + 3/5*t**a.
3*t**2*(t - 4)**2/5
Factor 16 + 7*p**3 - 4*p**4 + p**5 + 4*p**2 + 24*p + 5*p**3 + 8*p + 3*p**5 - 32*p**3.
4*(p - 2)**2*(p + 1)**3
Let m(g) = 8*g + 3*g**3 + 3 - 4*g**3 + 6*g - 97*g**2 + 84*g**2. Let v be m(-14). Factor -201*s - 9*s**2 + 0*s**2 + 207*s + v*s**3.
3*s*(s - 2)*(s - 1)
Let m = -31/2 + 16. Suppose 0 = -2*u - 4*v + 7*v + 15, 5*u + 5*v = 0. Factor m*p**4 + 1/2*p**5 + 0*p**2 + 0*p + 0 + 0*p**u.
p**4*(p + 1)/2
Let c(h) be the first derivative of -2/3*h**3 - 26 + 19*h**2 - 36*h. Factor c(j).
-2*(j - 18)*(j - 1)
Find c, given that 0*c - 4/5*c**3 - 192/5*c**2 + 65536/5 = 0.
-32, 16
Find m such that 42*m**2 + 58*m + 11/2*m**3 - 1/2*m**5 - 3*m**4 + 24 = 0.
-6, -2, -1, 4
Let u(f) be the second derivative of -2/21*f**7 + 82*f - 1 - 26/3*f**3 - 12*f**2 + 6/5*f**5 - 4/3*f**4 + 4/15*f**6. Find w such that u(w) = 0.
-1, 2, 3
Let u = 818756 - 818748. Factor -26/3*b + u + 2/3*b**2.
2*(b - 12)*(b - 1)/3
Let q(c) be the first derivative of -c**6/24 - 2*c**5/3 - 35*c**4/24 + c**2 - 5*c + 75. Let a(r) be the second derivative of q(r). Factor a(j).
-5*j*(j + 1)*(j + 7)
Factor -804/7 - 2/7*d**3 + 682/7*d + 124/7*d**2.
-2*(d - 67)*(d - 1)*(d + 6)/7
Factor -8/3*j**2 + 8/3*j**4 + 4/3*j**5 - 4/3*j + 0*j**3 + 0.
4*j*(j - 1)*(j + 1)**3/3
Let d(c) = c**3 + c**2 - 5*c + 2. Suppose 4*x + 63 - 51 = 5*r, x + 3 = 0. Let u be d(r). Factor -4/3 - 4/3*a**3 - 4*a**u - 4*a.
-4*(a + 1)**3/3
Let u(q) = 2*q**2 + q - 1. Let o(z) = -5*z**2 - 7*z - 2. Suppose 5 = -5*p + 2*h, -4*p - 2*h + 17 = 3. Let r(v) = p*o(v) + 2*u(v). Suppose r(j) = 0. Calculate j.
-4, -1
Let c be (2/2 - 1)*(-13)/(-26). Suppose c = -6*m + 10*m + 3*f - 15, 5 = m + 2*f. Factor 2/3*z**4 - 2/3*z**2 + 0 + 0*z - 2/3*z**5 + 2/3*z**m.
-2*z**2*(z - 1)**2*(z + 1)/3
Let h(p) be the third derivative of p**6/160 - p**5/40 - 3*p**4/32 + p**2 + 22*p - 22. Factor h(u).
3*u*(u - 3)*(u + 1)/4
Let t(d) be the second derivative of -625*d**4/18 - 100*d**3 - 108*d**2 + 3900*d. Factor t(m).
-2*(25*m + 18)**2/3
Let k(n) be the first derivative of n**5/5 - 171*n**4/4 + 338*n**3/3 + 3280. Solve k(r) = 0.
0, 2, 169
Let m = 6849/3320 - -621/3320. Factor m*p**2 + 0 + 1/4*p**4 - 3/2*p**3 - p.
p*(p - 4)*(p - 1)**2/4
Let x = 51 + -48. Suppose -x*c - 2*c + 10 = 0. Factor -5*d**5 + 7*d + 14*d**3 + 8*d**4 + 16*d**2 + 4*d**3 + 6*d**5 - c*d.
d*(d + 1)**3*(d + 5)
Let t = -258/199 + 10562/1393. Factor -40/7 - 4/7*b**2 + t*b.
-4*(b - 10)*(b - 1)/7
Suppose -25 = -5*c, -4*p + p + 164 = -5*c. Suppose 81 = 9*x + p. Factor 0 + 8/7*s**x + 8/7*s + 2/7*s**3.
2*s*(s + 2)**2/7
Suppose -3*o + 10*o - 66290 = 0. Factor o + 2*m**2 - 283*m - 25*m - 2936 + 5324.
2*(m - 77)**2
Let k be 602/(-10) + (18/(-10) - -2). Let f = 90 + k. What is m in 15*m + 14*m**2 - 15*m**2 + 15*m**5 - 10 + 21*m**2 - f*m**3 - 10*m**4 = 0?
-1, 2/3, 1
Let a(g) be the first derivative of 0*g - 70 - 3/34*g**4 + 0*g**2 + 4/51*g**3 + 2/85*g**5. Solve a(q) = 0 for q.
0, 1, 2
Suppose 0 = -3*r - 4*b - 15, -3*r + 1676 = 5*b + 1697. Factor 3/4*l**3 + 15/2 - r*l**2 - 21/4*l.
3*(l - 5)*(l - 1)*(l + 2)/4
Factor -2*z**2 + 96/5 - 44/5*z.
-2*(z + 6)*(5*z - 8)/5
Factor 10/13*z**4 + 6/13*z**3 - 4/13*z**5 + 0*z**2 + 0 + 0*z.
-2*z**3*(z - 3)*(2*z + 1)/13
Factor 3*m**3 + 153*m**2 - 706*m + 1389*m - 686*m - 153.
3*(m - 1)*(m + 1)*(m + 51)
Let l(o) be the third derivative of -o**6/420 + o**5/84 - o**4/84 - 29*o**2 + 7*o. Solve l(t) = 0.
0, 1/2, 2
Let o = 33 + -9. Let q = o - 21. Solve 5*u**q + 15*u**2 + 15*u - 3*u**2 + 8*u**2 = 0 for u.
-3, -1, 0
Let b = -359419/4 - -89855. Suppose 1/2*d + 0 + b*d**2 - 1/4*d**3 = 0. Calculate d.
-1, 0, 2
Let m(u) be the first derivative of -4*u**3/3 + 52*u**2 - 660*u - 1643. Determine d, given that m(d) = 0.
11, 15
Suppose 0 = -53*l + 17*l + 180. Suppose 118 = 4*a - 3*v, 0 = l*a - v - 207 + 65. Let a*o + 60*o**2 + 4 - 125/4*o**4 + 25*o**3 = 0. Calculate o.
-2/5, 2
Let q(l) = l**3 + 62*l**2 - 413*l - 338. Let u be q(-68). Factor -102/23*m + 28/23 + 14/23*m**u.
2*(m - 7)*(7*m - 2)/23
Factor -1361250 - 1/2*w**3 - 1362900*w - 3301/2*w**2.
-(w + 1)*(w + 1650)**2/2
Let m = -10729 + 128749/12. Let w(a) be the first derivative of 6 + 0*a**2 + 0*a**4 + 0*a - 1/20*a**5 + m*a**3. Factor w(l).
-l**2*(l - 1)*(l + 1)/4
Solve 4/7*w**3 + 312/7*w**2 + 320/7 - 636/7*w = 0 for w.
-80, 1
Let c(f) = -f**4 + 12*f**3 + 53*f**2 + 21*f - 49. Let h(v) = -v**4 + 8*v**3 + v**2 + v + 3. Let g(q) = -c(q) + 5*h(q). Factor g(p).
-4*(p - 4)*(p - 2)**2*(p + 1)
Let t = -15945 - -15945. Let v(u) be the third derivative of 0*u**4 + 0 + 1/360*u**6 + 0*u**3 + 1/270*u**5 + 0*u**7 + 32*u**2 + t*u - 1/3024*u**8. Factor v(q).
-q**2*(q - 2)*(q + 1)**2/9
Let i(g) = 4*g**2 - 26*g - 26. Suppose 2*j = d + 2, -5*j - 22 = 5*d - 72. Let u(v) = v**3 - 4*v**2 + 28*v + 27. Let s(o) = d*i(o) + 4*u(o). Factor s(q).
4*(q - 3)*(q + 1)*(q + 4)
Let a = -292 + 292. Suppose a = -7*n + 6*n - 4*