9/j)). Factor -2/7 + 0*z**2 - 3/7*z + 1/7*z**g.
(z - 2)*(z + 1)**2/7
Let c be (-9420)/98910*(-7)/3. Factor 0 + 16/9*i**3 - 38/9*i**2 - c*i**4 + 8/3*i.
-2*i*(i - 4)*(i - 3)*(i - 1)/9
Let t be (-1 + 55/50)/((-621)/(-9936)). Find f, given that 0 - 8/5*f**2 - 14/5*f**3 + 6/5*f**5 + 8/5*f + t*f**4 = 0.
-2, -1, 0, 2/3, 1
Let x(d) = 4*d**2 - 100*d - 101. Let k be x(26). Let h(s) be the second derivative of 24*s + 0 + 1/8*s**4 + 147/4*s**2 - 7/2*s**k. Factor h(f).
3*(f - 7)**2/2
Let q(x) be the second derivative of -x**8/2184 + x**6/780 + 44*x**2 + 212*x. Let u(s) be the first derivative of q(s). Factor u(m).
-2*m**3*(m - 1)*(m + 1)/13
Let u = -8329 - -8331. Let r(n) be the first derivative of -2/9*n**3 - 1/6*n**4 + 1/18*n**6 + 1/3*n + 1/6*n**u + 1/15*n**5 - 13. Factor r(t).
(t - 1)**2*(t + 1)**3/3
Let m = -335 + 355. Factor -73*f**2 + m*f - 75*f**2 + 146*f**2 - 4*f + 18.
-2*(f - 9)*(f + 1)
Let m(y) = y + 2. Let n(w) = 3*w + 3. Let o(u) = 5*m(u) - 2*n(u). Let h be o(2). Let -38*z**h - 41*z**2 + 6*z + 4*z**3 + 88*z**2 - z**3 = 0. Calculate z.
-2, -1, 0
Suppose 0 = m + 5*j + 3, 2*m + 2*j = -1 + 3. Suppose -y**3 + 126*y + y**3 - y**3 - 118*y - m*y**2 = 0. Calculate y.
-4, 0, 2
Let h(d) = d**2 - d - 1. Let s(j) = -j**2 + 5*j + 3. Let z(o) = 4*h(o) + s(o). Let u(a) = 2*a**2 + a + 3. Let t(x) = -3*u(x) + 3*z(x). Factor t(v).
3*(v - 2)*(v + 2)
Factor 1/5*k**3 + 0*k - 152/5*k**2 + 0.
k**2*(k - 152)/5
Let g(m) be the second derivative of 20 - m + 4/15*m**3 + 1/30*m**4 - 12/5*m**2. Factor g(t).
2*(t - 2)*(t + 6)/5
Let 3/7*d**5 - 12/7*d**3 + 0*d - 48/7*d**4 + 192/7*d**2 + 0 = 0. What is d?
-2, 0, 2, 16
Let f(u) = -204*u**2 + 97*u**2 + 100*u**2 + 5*u**3 + 20. Let t(x) = -x**3 + x**2 - x - 2. Let a(k) = -5*f(k) - 20*t(k). Factor a(r).
-5*(r - 3)*(r - 2)*(r + 2)
Let l(r) = 15*r**3 - 78*r - 18. Let p(v) = 8*v**3 - v**2 - 40*v - 10. Let q(s) = 5*l(s) - 9*p(s). Factor q(m).
3*m*(m - 2)*(m + 5)
Let k = 27607/31220 - 121/4460. Factor 18720/7*b + 9126/7 + 480/7*b**3 + k*b**4 + 10068/7*b**2.
6*(b + 1)**2*(b + 39)**2/7
Let c = -179 + 178. Let q be c + 5 + 305/(-65) - -1. Factor -2/13*w**4 - q*w**3 + 0*w**2 + 4/13*w + 2/13.
-2*(w - 1)*(w + 1)**3/13
Let p = 5323 - 5318. Let q(l) be the third derivative of 1/108*l**4 + 20*l**2 - 1/270*l**p + 0 + 0*l**3 + 0*l - 1/270*l**6. Suppose q(x) = 0. Calculate x.
-1, 0, 1/2
Let n(v) = -399*v**3 - 19338*v**2 + 38703*v - 19362. Let c(h) = -111*h**3 - 5525*h**2 + 11058*h - 5532. Let b(i) = -18*c(i) + 5*n(i). Factor b(j).
3*(j - 1)**2*(j + 922)
Let q(k) = -k**3 + 3631*k**2 - 18134*k + 23. Let y be q(5). Factor -7/3*x + y*x**2 - 8/3 - 1/3*x**4 + 7/3*x**3.
-(x - 8)*(x - 1)*(x + 1)**2/3
Let k(p) = -p**2 + p + 30. Let z be k(6). Factor -218*u + 2*u**2 + 220*u + z*u**2 - 12.
2*(u - 2)*(u + 3)
Factor -5*i**2 - 458292 - 381331 + 337178 + 3170*i.
-5*(i - 317)**2
Let u(y) be the second derivative of 2*y**6/105 + 9*y**5/5 - y**4/21 - 6*y**3 - 2*y + 700. Let u(g) = 0. Calculate g.
-63, -1, 0, 1
Let s(q) = -q**3 - 4*q**2 - 2*q - 1. Let v be s(-4). Suppose 1 + 20 = v*m. Let -32*k**3 + 22*k**m - k**5 + 10*k**2 + 1 - 6*k + 5*k**4 + k = 0. Calculate k.
1
Suppose -2*k + 3*p - 41 = 2*k, 3*k + 36 = -3*p. Let n = k - -35. Determine j, given that 45*j**4 - 38*j**3 - 62*j**3 - j**2 - n*j**2 - 24 + 100*j + 4 = 0.
-1, 2/9, 1, 2
Let t(i) = 4*i**3 + 10*i**2 - 1277*i + 8400. Let c(a) = -8*a**3 - 22*a**2 + 2553*a - 16800. Let q(n) = -3*c(n) - 7*t(n). Let q(d) = 0. Calculate d.
-21, 10
Let h be ((-12)/(-10))/((-63)/(-210)). What is a in 2*a**5 - h*a**3 + a**4 + 7505*a**2 + 2*a + 2 - 7509*a**2 + a**4 = 0?
-1, 1
Let d(x) = x**3 - 53*x**2 - 10646*x + 802. Let k be d(133). Suppose 9 + 1/2*j**5 - 71/2*j - 33*j**3 + 7*j**k + 52*j**2 = 0. What is j?
-18, 1
Suppose 2*u - 12*u + 10 = 0. Let s be (u/(6/(-36)))/((-6)/4). Let 2*r**2 - s*r + 4 + 0 - 4 = 0. Calculate r.
0, 2
Let t(o) = 2*o + 23. Let y be t(-10). Let -h**4 - 8*h**4 - 2*h**5 + 6*h**y + 3*h**4 + 2*h**4 = 0. What is h?
-3, 0, 1
Let o be ((-4)/1)/(24/(-18)). Factor -54 + 80*h**2 - 268*h**o - 46 - 20*h + 308*h**3 - 5*h**2 + 5*h**4.
5*(h - 1)*(h + 2)**2*(h + 5)
Let h be -4*8/8*-1. Let g(w) be the second derivative of 1/7*w**2 - 1/21*w**h + 1/105*w**6 - 12*w + 0*w**5 + 0 + 0*w**3. Factor g(y).
2*(y - 1)**2*(y + 1)**2/7
Let u be (11 + (17 - 46))*1/(-6). Factor 4 - 4*i**2 - 1/2*i**u + 1/2*i.
-(i - 1)*(i + 1)*(i + 8)/2
Let t(m) be the second derivative of -5*m**5/12 - 85*m**4/18 - 115*m**3/6 - 30*m**2 - 66*m - 5. Factor t(g).
-5*(g + 3)**2*(5*g + 4)/3
Let c(i) be the first derivative of -20*i**2 - 400/7*i - 17 - 44/21*i**3 - 1/14*i**4. Solve c(k) = 0.
-10, -2
Let n(r) be the second derivative of r**6/300 - r**5/150 - r**4/30 + 15*r**2/2 + 31*r. Let y(q) be the first derivative of n(q). Factor y(c).
2*c*(c - 2)*(c + 1)/5
Suppose -14*p + 1756 = 776. Suppose -76*h + p*h = -12. Factor -1/3*c**h - 2/3*c + 0.
-c*(c + 2)/3
Let z(q) be the third derivative of 1/210*q**7 + 0 - 92*q**2 + 1/2*q**3 - 1/60*q**6 + 1/12*q**4 + 0*q - 1/15*q**5. Factor z(b).
(b - 3)*(b - 1)*(b + 1)**2
Find d, given that 312/7*d + 162/7*d**2 + 10/7*d**3 + 8 = 0.
-14, -2, -1/5
Let s be (-51)/52*(-18360)/(-630)*728/(-117). Determine a, given that 2/13*a**4 + 0 - 138/13*a**3 - s*a + 2448/13*a**2 = 0.
0, 1, 34
Let g be (-528)/352*8/(-54). Factor g*j**4 + 4/3 - 2/3*j**2 + 14/9*j - 2/3*j**3.
2*(j - 3)*(j - 2)*(j + 1)**2/9
Let m(f) be the second derivative of -5/19*f**4 - 100/19*f**3 - 1000/19*f**2 + 103*f - 1/190*f**5 + 0. Factor m(s).
-2*(s + 10)**3/19
Suppose -429*g**5 - 25*g**2 - 120*g**4 + 424*g**5 - 215*g**3 + 145*g**2 + 220*g = 0. What is g?
-22, -2, -1, 0, 1
Factor -1825 + 1815/2*n + 5/2*n**2.
5*(n - 2)*(n + 365)/2
Suppose 0 = -t - 3*h + 17, -333 = 6*t - 4*h - 325. Factor -4096/7*r - 768/7*r**t - 64/7*r**3 - 8192/7 - 2/7*r**4.
-2*(r + 8)**4/7
Suppose -7*t = -11*t. Suppose -5*w - 5*l + 2*l = -24, -l + 3 = t. What is y in -3*y + 50 + 12*y + 2*y**w - 18*y**2 + 10*y + 11*y = 0?
-1, 5
Suppose -2 = -3*a - 2*x - 0*x, 3*x + 12 = 3*a. Factor -a*k - 6 + 2*k + 24 - 2*k**2.
-2*(k - 3)*(k + 3)
Let n(d) = 190*d**2 + 650*d - 620. Let g be ((-78)/(-21) - 4)*-7. Let s(w) = 7*w**2 + 24*w - 23. Let f(p) = g*n(p) - 55*s(p). Factor f(q).
-5*(q - 1)*(q + 5)
Factor -4*m**3 - 79 - 41 + 16*m**2 - 26791*m + 26835*m.
-4*(m - 5)*(m - 2)*(m + 3)
Let c(b) be the second derivative of -b**4/48 + 479*b**3/24 - 239*b**2/4 + b - 960. Solve c(w) = 0.
1, 478
Factor -139 - 99*t + t**3 - 48*t**2 - 99 - 104 + 408 - 116.
(t - 50)*(t + 1)**2
Let c be ((-301)/63 - -7) + (-2)/9. Suppose -m**4 - 40*m**3 - 20*m**2 + 23*m**4 - 28*m**c + 62*m**2 + 4*m = 0. Calculate m.
-2/11, 0, 1
Factor -21608*v**2 - 93312 + 424*v**3 + 17495*v - 98806*v - 2*v**4 - 10273*v.
-2*(v - 108)**2*(v + 2)**2
Suppose -180 - 2*k - 41*k**2 + 56*k**2 + 134*k = 0. Calculate k.
-10, 6/5
Let q be ((-1)/5*-815)/(-1). Let r = -161 - q. Find l, given that 0 + 24/5*l**3 + 3*l**4 - 12/5*l**r + 0*l = 0.
-2, 0, 2/5
Let s(b) = b**2 + 9*b + 30. Let j be s(0). Suppose -j*o = -26*o. Factor -4/3*w**3 + o + 0*w + 4/3*w**2.
-4*w**2*(w - 1)/3
Let a = -286 + 338. Let f be 2/a*56 - (-6)/(-39). Let -2/15*l**5 + 146/15*l**f + 22/15*l**4 - 112/15*l - 86/15*l**3 + 32/15 = 0. What is l?
1, 4
Let o be (-13 + 49/7)*(-14)/(-642). Let c = o + 261/1177. Determine b, given that -6/11 + 1/11*b**2 - c*b = 0.
-2, 3
Let j be -7 + 47 - (-35)/(-1). Suppose 0 + 8/7*k**2 + 8/7*k - 8/7*k**4 - 2/7*k**j - 6/7*k**3 = 0. Calculate k.
-2, -1, 0, 1
Suppose 0 = 4*y - p - 9, 2*y + 3*p + 0 = 1. Let v be (4 + (-70)/28)*(-9)/(45/(-10)). Determine a so that -6*a**v - 26/3*a - 4/3 - 16*a**y = 0.
-2, -1/3
Let g(u) = 3 - 2*u - u - 5*u + 7*u. Let s be g(0). What is x in 28*x - 5*x - 5*x - 15 - s*x**2 = 0?
1, 5
Factor -110621 + 3*g**2 + 24*g - 79*g + 2*g**2 + 109241.
5*(g - 23)*(g + 12)
Let q(o) be the third derivative of 4/51*o**5 + o**2 + 2/17*o**3 - 25/204*o**4 - 1/2856*o**8 + 2/357*o**7 - o - 1/34*o**6 + 0. Factor q(g).
-2*(g - 6)*(g - 1)**4/17
Let s(v) = v - 14. Let k be s(8). Let m be (4 - 2)*2 - k. What is u in 9*u**3 + 0*u**2 + 3*u**4 - 9*u - 7*u**2 - 6 + m*u**2 = 0?
-2, -1, 1
Let m(b) = 95*b + 400. Let l(q) = -91*q - 400. Let k(y) = 7*l(y) + 6*m(y). Let c be k(-6). Let 2/5*t**3 + 22/5*t**c + 14*t + 10 = 0. Calculate t.
-5, -1
Let c(d) be the third derivative of 1/60*d**5 + 24*d