the third derivative of k**5/60 + 1415*k**4/12 + 2002225*k**3/6 - 53*k**2 + 27*k. Factor z(q).
(q + 1415)**2
Let y(l) = -109*l**2 - 86*l - 286. Let q(w) = -380*w**2 - 259*w - 857. Let f(s) = 2*q(s) - 7*y(s). Find u such that f(u) = 0.
-24, -4
Suppose -5*j + 25*j + 4*j - 72 = 0. Let p(s) be the first derivative of 11 - 28/15*s**2 + 8/15*s + 106/45*s**j + 1/3*s**4 - 2*s**5. Find i such that p(i) = 0.
-1, 1/3, 2/5
Let g = -1308 - -37922/29. Let d = g - -88/87. Let -1/3*j**2 + j - d = 0. What is j?
1, 2
Let b = -24/7313 + 10589488/80443. Let s = 132 - b. Factor 0*v**2 + s*v + 0 - 3/11*v**3 + 1/11*v**4.
v*(v - 2)**2*(v + 1)/11
Let u(m) be the second derivative of 1/40*m**5 + 0 - 1/3*m**2 - 2/9*m**4 + 1/90*m**6 + 5/12*m**3 + 22*m. Factor u(g).
(g - 1)**2*(g + 4)*(2*g - 1)/6
Suppose 170/13*c**3 + 0*c - 32/13*c**4 + 0 - 300/13*c**2 + 2/13*c**5 = 0. Calculate c.
0, 5, 6
Let f(b) = 12*b**3 + 307*b**2 + 81*b - 412. Let x(a) = -a**2 + a + 4. Let q(z) = f(z) + 3*x(z). Suppose q(h) = 0. What is h?
-25, -4/3, 1
Suppose -64 = -9*f + 11*f. Let p be 1884/135 - f/72. Find m, given that -2/5*m**2 - 24/5*m - p = 0.
-6
Let h(u) be the second derivative of -u**7/70 - u**6/8 + 2*u**5/5 + 3*u**4/2 - 47*u**2 - 105*u. Let q(s) be the first derivative of h(s). Factor q(f).
-3*f*(f - 2)*(f + 1)*(f + 6)
Let j be (-3)/(-6)*4 + 33/11. Determine h, given that h - 10*h**3 - 3 - j*h**4 + 20*h**2 - 12 + 2*h + 3*h + 4*h = 0.
-3, -1, 1
Let 10*q + 10*q**3 + 12*q**3 + 30 + 22 - 770*q**4 - 54*q**2 - 32*q + 772*q**4 = 0. Calculate q.
-13, -1, 1, 2
Let d(u) be the first derivative of 2*u**3/7 - 50*u**2 + 464*u/7 + 472. Factor d(x).
2*(x - 116)*(3*x - 2)/7
Let w = 25 - 23. Let h = 33668 - 33668. What is n in -12/5*n**3 - 4/5*n**5 - 12/5*n**4 + 0*n + h - 4/5*n**w = 0?
-1, 0
Suppose -3*s - 4*x = -18, 4*x = s + 13 - 3. Let -12*r**s + 72*r**3 - 29*r**2 - 15 - 3*r**5 + 57*r - 37*r**2 - 3*r**4 - 30*r**3 = 0. Calculate r.
-5, 1
Suppose 0 = -141*h + 140*h + 201. Let i = h - 587/3. Suppose i + 1/3*s**2 + 8/3*s = 0. Calculate s.
-4
Let f(m) be the first derivative of -4*m**3/3 + 430*m**2 + 1736*m + 2645. Suppose f(j) = 0. What is j?
-2, 217
Let r(n) be the second derivative of n**4/6 + 13*n**3 + 108*n**2 + 314*n + 4. Find p such that r(p) = 0.
-36, -3
Factor 260/9*s**2 + 50/9*s**4 + 20*s**3 + 2/9*s**5 + 14/3 + 170/9*s.
2*(s + 1)**4*(s + 21)/9
Let r be 525/(-14)*(-2)/3. Let w be 6/(-36) + r/6. Solve 6*z**3 + 10*z**w - 3*z**5 + 6*z**4 - 13*z**4 = 0.
-1, 0, 2
Let o be (81/243)/(((-10)/12)/(2/(-4))). Let n(z) be the second derivative of 0*z**3 + 2*z**4 + 0 + 6*z - 64*z**2 + o*z**5. Suppose n(b) = 0. Calculate b.
-4, 2
Let t(c) be the second derivative of 71*c**7/210 - 1067*c**6/150 - 1177*c**5/100 + 1099*c**4/60 + 553*c**3/15 - 16*c**2/5 + 1158*c + 2. Solve t(g) = 0 for g.
-1, 2/71, 1, 16
Factor 32 + 48/7*d - 2/7*d**2.
-2*(d - 28)*(d + 4)/7
Let l be -1994*((-357)/(-154))/17. Let j = l + 273. Determine f, given that -2/11*f**2 - 18/11 - j*f = 0.
-3
Let h = 135 + -90. Factor 290*f - 21*f**3 - 220*f - h*f**2 - 9*f**3 + 5*f**4.
5*f*(f - 7)*(f - 1)*(f + 2)
Let y(s) = 3*s**2 + 4*s. Let k be (70/(-56))/(1/4). Let r(c) = -3*c + c**2 - 5*c - 3*c**2 + 5*c. Let h(t) = k*y(t) - 7*r(t). Suppose h(v) = 0. What is v?
0, 1
Let h = 330 - 325. Suppose -h*p = -3*v - 28, 0*p - 16 = -3*p + v. Determine a so that -98/13*a**4 + 686/13*a**p - 152/13*a**2 + 0 - 420/13*a**3 - 16/13*a = 0.
-2/7, 0, 1
Let t be 45 - (-43 + 48 - (2 + 0)). Suppose -k = -t*a + 40*a - 6, 2*a = -2*k. Factor 3/2*q - 3/8*q**k - 3/2.
-3*(q - 2)**2/8
Let m = 31201096/34597409 + 200/40847. Let w = m + -6/121. Find c such that 4/7*c**2 + 0 + 0*c - w*c**5 + 2*c**3 + 4/7*c**4 = 0.
-1, -1/3, 0, 2
Let s be -1*(36/(-20))/3*5. Factor 7*x + 71*x**s - 3*x - 6*x**2 - 69*x**3.
2*x*(x - 2)*(x - 1)
Let v be 6 + (-44 - 12)/14. Let i be -1 - 6/1*18/(-60). Factor 0*t**3 - i*t**4 + 12/5*t**v + 0 + 8/5*t.
-4*t*(t - 2)*(t + 1)**2/5
Let b(k) be the first derivative of -k**5/4 + 23*k**4/16 - 5*k**3/6 - k**2 + 6202. Factor b(y).
-y*(y - 4)*(y - 1)*(5*y + 2)/4
Let j(h) = -36*h + 25. Let g be j(-2). Let 53*u**2 - 4 - 2 + 46*u**2 - g*u**2 - u = 0. Calculate u.
-3/2, 2
Let i(c) be the second derivative of 5/42*c**7 - 15/2*c**3 + 96 - 25/6*c**4 + c + 5/3*c**6 + 0*c**2 + 2*c**5. What is l in i(l) = 0?
-9, -1, 0, 1
Let f(g) = 246*g**4 + 6266*g**3 + 34389*g**2 + 18142*g + 2521. Let k(m) = m**4 + m**3 - m**2 + 2*m + 1. Let l(w) = f(w) - k(w). Let l(p) = 0. Calculate p.
-18, -7, -2/7
Determine f, given that 3/2*f**4 + 690 + 342*f**3 - 342*f - 1383/2*f**2 = 0.
-230, -1, 1, 2
Suppose -43 = 3*t + 4*j - 78, 2*j = 5*t - 15. Let b(n) be the third derivative of -10*n**2 + 0*n + 0*n**4 - 1/450*n**t + 4/45*n**3 + 0. Factor b(v).
-2*(v - 2)*(v + 2)/15
Find s, given that 679*s**4 + 1330*s**2 + 715*s - 1719*s**4 + 8*s**5 - 18*s**5 - 290 - 680*s**3 - 25*s**5 = 0.
-29, -1, 2/7, 1
Let f(q) be the second derivative of q**5/150 - q**4/6 - 11*q**3/15 + 51*q**2 + 89*q. Let t(r) be the first derivative of f(r). What is w in t(w) = 0?
-1, 11
Suppose 4*u = -5*x - 52, -80*u - 3*x = -79*u + 34. Determine i, given that -2/9*i**3 - 22/9*i - 4/3 - 4/3*i**u = 0.
-3, -2, -1
Let m(l) be the first derivative of l**4/16 + l**3/4 + 3*l**2/8 + 59*l + 46. Let q(v) be the first derivative of m(v). Factor q(b).
3*(b + 1)**2/4
Let l(z) = 2*z**2 - 383*z - 285. Let j(y) = 3*y**2 - 575*y - 418. Let t(h) = -5*j(h) + 8*l(h). Determine d, given that t(d) = 0.
-1, 190
Let n(p) be the second derivative of -p**6/15 - 4*p**5/5 + 32*p**4/3 + 512*p**3/3 + 17*p + 15. Find r, given that n(r) = 0.
-8, 0, 8
Let 20/7*z**2 - 4/7*z**3 - 16/7*z + 0 = 0. What is z?
0, 1, 4
Let j(m) be the third derivative of -m**7/315 + m**6/30 + 31*m**5/90 - m**4 + 5*m**2 + 11*m - 2. Factor j(x).
-2*x*(x - 9)*(x - 1)*(x + 4)/3
Let u = 96 + -80. What is p in 17*p + 7*p - u + 23*p**2 - 15*p**3 - 66*p**4 + 68*p**4 = 0?
-1, 1/2, 4
Let f = 471 + -466. Determine x so that 7 + 18*x**3 - 1 - 8*x**4 - x**2 + 0*x**3 + f*x**2 - 2 - 18*x = 0.
-1, 1/4, 1, 2
Suppose 10*k - 35 = 15. Let x be 0 - k - 1025/(-175). Factor 144/7*w**2 + 0 - 54/7*w + 48/7*w**4 - x*w**5 - 132/7*w**3.
-6*w*(w - 3)**2*(w - 1)**2/7
Let i = -261 + 418. Find m, given that -10*m**5 + i*m**5 + 29*m + 444*m**2 - 27*m - 74*m - 450*m**3 - 819*m**4 = 0.
-1, 0, 2/7, 6
Let k(f) be the first derivative of -f**6/990 + 7*f**5/220 + f**4/12 - 17*f**3/3 + 52. Let a(o) be the third derivative of k(o). Factor a(s).
-2*(s - 11)*(2*s + 1)/11
Let v(o) be the first derivative of 64*o + 8*o**3 - 44 - 1/2*o**4 - 36*o**2. Factor v(q).
-2*(q - 8)*(q - 2)**2
Let h be 1116/(-1023)*(2/3 + -1). Determine n so that -20/11*n**2 + 21/11*n**3 + 0 - 7/11*n**5 + 2/11*n**4 + h*n = 0.
-2, 0, 2/7, 1
Let s(d) be the third derivative of 0*d**3 + 0 + 0*d + 18*d**2 + 1/9*d**4 - 1/450*d**5 - 1/900*d**6. Factor s(x).
-2*x*(x - 4)*(x + 5)/15
Find b such that 4*b**4 + 96*b + 0 + 452/3*b**3 + 728/3*b**2 = 0.
-36, -1, -2/3, 0
Factor -3/7*j**2 - 36/7 + 24/7*j.
-3*(j - 6)*(j - 2)/7
Let p = 85 + -80. Suppose 2*r + p*f + 1 - 26 = 0, -5*r = 2*f - 31. Factor 2*w - 2 + 3*w**3 - r*w - 4 - 6*w.
3*(w - 2)*(w + 1)**2
Let w = 100 + -58. Let n = 46 - w. Factor -3*h + 5*h**2 - n*h - 3*h.
5*h*(h - 2)
Let k(o) be the second derivative of 2*o + 5/2*o**3 + 1/4*o**4 + 0 + 6*o**2. Let k(i) = 0. Calculate i.
-4, -1
Suppose -5*p = 3*n + 1, -5422*p = -5423*p + 2*n + 18. Let 8/3*t - 20/3*t**2 - 4/3*t**5 + 0 + 4/3*t**4 + p*t**3 = 0. Calculate t.
-2, 0, 1
Factor -585/4 + 3/4*i**2 - 291/2*i.
3*(i - 195)*(i + 1)/4
Let v(k) = -k + 4. Let i be v(4). Let m be (433/29 - (-686)/9947)/(-1 + 10). Factor i*h**2 + m*h**4 + 0*h + 0 + 10/3*h**3.
5*h**3*(h + 2)/3
Let u(n) be the second derivative of 6 + 2/15*n**5 + n - 1/45*n**6 - 1/3*n**4 + 4/9*n**3 - 1/3*n**2. Suppose u(q) = 0. Calculate q.
1
Let i be (54/45)/(10/(-25)) + 10/(-60)*-21. Determine d so that -i*d**2 - 1521/2 + 39*d = 0.
39
Factor 2832/7*g + 3/7*g**4 + 1440/7*g**2 + 36*g**3 + 1872/7.
3*(g + 2)**3*(g + 78)/7
Let c(d) be the second derivative of d**4/6 + 918*d**3 + 1896129*d**2 - 195*d - 13. Suppose c(z) = 0. Calculate z.
-1377
Let h(u) = -111*u**2 + 86*u - 12. Let s(g) = -109*g**2 + 84*g - 13. Let d(l) = 2*h(l) - 3*s(l). Factor d(r).
5*(3*r - 1)*(7*r - 3)
Factor -3*l**4 - 26150*l + 426*l**3 - 141971 - 20304*l**2 + 3575