 be the third derivative of q**6/140 - 2*q**5/21 - 3*q**4/28 + 2*q**3/3 + 32*q**2 + 3*q. Factor c(z).
2*(z - 7)*(z + 1)*(3*z - 2)/7
Let -813*g**4 + 72*g - g**5 + 41*g**3 - 111*g**2 + 1628*g**4 - 816*g**4 = 0. What is g?
-8, 0, 1, 3
Let z = -102773/6 - -17129. Find a, given that 0*a + z*a**2 + 0 = 0.
0
Factor w**5 + 505*w**2 - 73*w**2 + 2*w**5 + 113*w**3 + 236*w**3 - 58*w**3 + 54*w**4 + 192*w.
3*w*(w + 1)**2*(w + 8)**2
Let 1331 - 363*h + 1/4*h**5 + 359/4*h**3 - 1199/4*h**2 - 33/4*h**4 = 0. Calculate h.
-2, 2, 11
Let c be (-5)/15 - (-40)/12. Let x be (4 - -2)/c - -12. What is v in -x*v**5 - 40*v - 6*v**2 - 33*v**4 + 74*v**2 + 34*v**3 - 16 + v**4 = 0?
-2, -2/7, 1
Let g = -31089/4 + 7776. Factor -g*r**3 + 9/4*r**2 + 0 + 3/2*r.
-3*r*(r - 1)*(5*r + 2)/4
Let q(u) = -u**2 - 6*u + 2. Let k be q(-6). Factor 3*t**2 - 3*t**3 - 2*t**k - t**4 + 2*t + t**5 + 0*t**2.
t*(t - 2)*(t - 1)*(t + 1)**2
Let h(y) be the second derivative of y**6/10 - 23*y**5/15 + 7*y**4/3 + 45*y**2/2 - 54*y. Let x(k) be the first derivative of h(k). Factor x(o).
4*o*(o - 7)*(3*o - 2)
Let v be 0/(3/(-4) + (-15)/12). Suppose -s - 16 = 3*s, v = 2*y + 4*s + 8. Factor 2/7*m**2 + 2/7*m**3 + 0 - 2/7*m - 2/7*m**y.
-2*m*(m - 1)**2*(m + 1)/7
Let g(i) be the third derivative of i**6/900 + i**5/300 - i**4/30 + 4*i**3/3 - 26*i**2. Let y(a) be the first derivative of g(a). Factor y(f).
2*(f - 1)*(f + 2)/5
Let w(a) be the first derivative of a**3/15 + 4*a**2/5 - 33*a/5 + 355. Factor w(b).
(b - 3)*(b + 11)/5
Let j(g) be the first derivative of g**3/6 - g**2/2 + g/2 + 45. Factor j(o).
(o - 1)**2/2
Solve 2925*t**3 + 7200 - 232*t**2 - 5839*t**3 + 3120*t + 2918*t**3 = 0 for t.
-2, 30
Determine b so that 9/2*b**5 - 29*b**2 + 29*b**3 - 9/2 + 51/2*b**4 - 51/2*b = 0.
-3, -1/3, 1
Let v(n) = n**2 + 19*n - 4. Let b be v(-23). Determine x, given that 94*x**2 + 149 - 90*x**2 + 335 - b*x = 0.
11
Let j(d) = d**3 + 8*d**2 + 2. Let a be j(-8). Let l be ((-3)/9)/(a/(-12)). Factor 0*p**2 - 9*p**4 + 3 - 6*p**l - 6*p**5 + p - 12*p**4 + 5*p - 24*p**3.
-3*(p + 1)**4*(2*p - 1)
Let o(k) be the second derivative of 0*k**2 - k - 1/6*k**6 + 0 - 5/3*k**3 + 5/12*k**4 + 1/2*k**5. Factor o(u).
-5*u*(u - 2)*(u - 1)*(u + 1)
Suppose -2*v - 6 = 2*o, -16 = 2*v - o + 5*o. Factor 6*p**2 - 1386 - 12*p**3 + 6*p**v + 4*p**4 + 1386 - 4*p.
4*p*(p - 1)**3
Let k be 2 + (-5 - -2)/3 + -1. Factor 2*u + k + 2/3*u**2.
2*u*(u + 3)/3
Let l(o) be the second derivative of 0*o**3 + 0*o**4 + 1/42*o**7 + 0 + 0*o**6 + 0*o**2 - 1/20*o**5 - 4*o. Suppose l(z) = 0. Calculate z.
-1, 0, 1
Let q = -32738 + 130957/4. Suppose q*v - 1/4*v**2 + 0 = 0. Calculate v.
0, 5
Let l be 4*(-1)/21*(-63)/(10 - 3). Suppose 10/7*r + l*r**2 + 0 + 2/7*r**3 = 0. Calculate r.
-5, -1, 0
Let n = -3100 + 3101. Let -2/3*v - 1/3*v**2 + n = 0. Calculate v.
-3, 1
Factor -l**4 + 4*l**4 - 24*l + 9 - 11 - 18*l**2 + 2 + 9*l**3.
3*l*(l - 2)*(l + 1)*(l + 4)
Let g = -155 + 364. Let n = -207 + g. Factor -9/5 - 1/5*t**n - 6/5*t.
-(t + 3)**2/5
Suppose -163*l - 151*l = -305*l. Determine i, given that -3/7*i**4 + 0 + l*i - 6/7*i**2 + 9/7*i**3 = 0.
0, 1, 2
Let r(o) be the first derivative of -16 + 8*o**4 + 4*o**5 + 2/3*o**6 + 0*o + 0*o**2 + 16/3*o**3. Suppose r(l) = 0. What is l?
-2, -1, 0
Let g = 6/5 + -71/60. Let i(t) be the third derivative of 1/4*t**4 - 3*t**2 + 0*t**5 + 2/3*t**3 + 0 + 0*t - g*t**6. Suppose i(n) = 0. What is n?
-1, 2
Let u = 181/349 - 13/698. Suppose -u*t + 1/2*t**2 - 1 = 0. Calculate t.
-1, 2
Let a be -2 - (-5*(-35)/200 + -3). Let n(p) be the third derivative of -a*p**3 + 1/32*p**4 + 1/80*p**5 + 0*p + 0 - 1/160*p**6 - 9*p**2. Factor n(t).
-3*(t - 1)**2*(t + 1)/4
Let n(g) = 25*g**5 - 18*g**4 + 25*g**3 + 17*g - 17. Let l(z) = -3*z**5 + 2*z**4 - 3*z**3 - 2*z + 2. Let h(y) = -51*l(y) - 6*n(y). Let h(k) = 0. Calculate k.
-1, 0
Let m be (8/(-126))/(84/(-9408)). Factor 20/9*z**2 + m + 2/9*z**3 + 64/9*z.
2*(z + 2)*(z + 4)**2/9
Let v(j) be the second derivative of -j**5/150 + j**4/3 - 29*j**3/45 + 339*j. Let v(u) = 0. Calculate u.
0, 1, 29
Suppose -16/13*d + 16/13*d**3 + 2/13*d**2 - 2/13*d**4 + 0 = 0. Calculate d.
-1, 0, 1, 8
Let n be 6 - (-21)/(-3) - (-7 + -1). Factor 4*f**3 - 3*f**2 - f**4 - 18*f + 9*f**4 - n*f**4.
f*(f - 2)*(f + 3)**2
Let n(t) be the second derivative of 0 + 25/6*t**3 + 17*t - 5/12*t**4 + 15*t**2. Factor n(a).
-5*(a - 6)*(a + 1)
Factor 2/7*o**5 + 50/7*o**3 + 0 - 24/7*o**2 - 4*o**4 + 0*o.
2*o**2*(o - 12)*(o - 1)**2/7
Let f(k) be the third derivative of -k**8/336 - k**7/105 + k**6/12 + 2*k**5/15 - 11*k**4/8 + 3*k**3 - 467*k**2. Factor f(i).
-(i - 2)*(i - 1)**2*(i + 3)**2
Suppose 0 = 15*h - 19*h + 1004. Let a = h + -2257/9. Factor -a + 0*f + 2/9*f**2.
2*(f - 1)*(f + 1)/9
Let t(a) be the third derivative of -a**5/90 - a**4/9 + 5*a**3/9 - 56*a**2. What is n in t(n) = 0?
-5, 1
Suppose -36 + 8 + 12 + 10 - 2*q**3 + 6*q**2 + 2*q = 0. Calculate q.
-1, 1, 3
Let a(v) = -16*v**4 + 257*v**3 - 234*v**2 - 21. Let t(j) = -5*j**4 + 85*j**3 - 78*j**2 - 6. Let g(p) = 2*a(p) - 7*t(p). Factor g(x).
3*x**2*(x - 26)*(x - 1)
Let z(u) be the third derivative of 0*u - 1/180*u**6 + 0*u**4 + 3*u**2 + 0*u**3 + 1/45*u**5 + 0. Suppose z(b) = 0. Calculate b.
0, 2
Let a(w) be the second derivative of 16*w + 0 + 1/100*w**5 + 1/30*w**3 + 0*w**2 - 1/30*w**4. Solve a(t) = 0.
0, 1
Factor -8/5 + 1/5*a**3 - 3*a - 6/5*a**2.
(a - 8)*(a + 1)**2/5
Let z(u) be the second derivative of u**5/10 - 7*u**4/3 + 65*u**3/3 - 100*u**2 - 148*u. Find f such that z(f) = 0.
4, 5
Let l be (-1169)/(-77) + -15 + (-20)/(-11) + 0. Factor 121/5 + 22/5*x + 1/5*x**l.
(x + 11)**2/5
Suppose 2*g + v - 12 = 0, -3*g - 9*v = -10*v - 13. Determine p, given that 0 + 4/13*p**2 - 6/13*p**3 + 0*p**4 + 0*p + 2/13*p**g = 0.
-2, 0, 1
Determine l so that -480 - 5*l**3 + 312*l + 218*l - 100*l**2 - 70*l = 0.
-24, 2
Suppose w + 12 = -5*u, u = 2*w - 0*w - 9. Suppose w*t + 4 = 5*t. Suppose 7*r**2 - 3*r**t - 3*r**4 + 6*r**4 + r**4 - 8*r**3 = 0. Calculate r.
0, 1
Let s = 1110 - 88797/80. Let w(b) be the third derivative of 0*b - 3*b**2 - 1/160*b**6 + 0 - 3/8*b**3 + s*b**5 + 1/32*b**4. Factor w(f).
-3*(f - 3)*(f - 1)*(f + 1)/4
Suppose -3*z + 60 = 3*a, -7*z - 48 = -3*a - 4*z. Let l be 114/38 + a/(-10). Factor 2/5*c**2 - l*c + 4/5.
2*(c - 2)*(c - 1)/5
Factor 4*v - 5*v**3 + 0*v + 5*v**4 - 5*v**2 + 2*v - v.
5*v*(v - 1)**2*(v + 1)
Let o = -12 - -14. Factor 134*a**5 - 63*a**5 - 3*a**3 + o*a**2 - 70*a**5.
a**2*(a - 1)**2*(a + 2)
Let q(i) be the third derivative of -i**8/80640 + i**7/3360 - i**6/576 - i**5/12 + 7*i**2. Let y(a) be the third derivative of q(a). Factor y(c).
-(c - 5)*(c - 1)/4
Let m(u) be the first derivative of u**5/100 - u**4/20 + 35*u + 6. Let k(f) be the first derivative of m(f). Factor k(i).
i**2*(i - 3)/5
Let h = -46 + 74. Let x(y) = 7*y**2 + 13*y + 12. Let o(w) = 64*w**2 + 116*w + 108. Let c(i) = h*x(i) - 3*o(i). Factor c(f).
4*(f + 1)*(f + 3)
Let k be ((-2)/(-24))/(18/(-1407720)). Let j = -6509 - k. Suppose 10/3*q + 22/3*q**3 + 2*q**4 + 4/9 + j*q**2 = 0. Calculate q.
-2, -1, -1/3
Let d(q) be the first derivative of q**3/7 - 33*q**2/7 - 69*q/7 - 29. Let d(a) = 0. Calculate a.
-1, 23
Let t(d) be the third derivative of -d**8/10080 - d**7/2016 - d**6/1440 + d**5/12 + 8*d**2. Let l(j) be the third derivative of t(j). Let l(n) = 0. Calculate n.
-1, -1/4
Let v be ((-21)/138)/((-6)/57). Let d = v - 16/23. Let 3/4*n**2 + 0*n**3 + 0 - d*n**4 + 0*n = 0. Calculate n.
-1, 0, 1
Suppose -2*m + 3*w = -35, -3*w = 4*m - 0*w - 25. Determine o, given that -9*o + m*o**3 - 5*o**2 - 2*o + o + 5*o**4 = 0.
-2, -1, 0, 1
Let q(v) = 32*v**2 - 388*v + 51. Let p be q(12). Suppose 0 + 36/7*z**2 + 3*z**p - 12/7*z = 0. Calculate z.
-2, 0, 2/7
Let l(r) be the second derivative of r**7/42 - r**6/15 - 2*r**5/5 - r**4/6 + 7*r**3/6 + 2*r**2 - 146*r. Factor l(m).
(m - 4)*(m - 1)*(m + 1)**3
Let m be (-7)/(-7) + (-351)/462. Let t = 1/22 + m. Factor -2/7*b**2 + 2/7*b**4 - 2/7*b + 0 + t*b**3.
2*b*(b - 1)*(b + 1)**2/7
Let u be (((-645)/2150)/(1/5))/(2/(-4)). Solve 15/2*b**2 - 31/2*b**u + 6*b**4 - b + 0 = 0.
0, 1/4, 1/3, 2
Let x(s) be the first derivative of 4/5*s - 5 - 2/5*s**2 + 1/15*s**3. Suppose x(d) = 0. What is d?
2
Let n(a) = 4*a**5 - 37*a**4 + 35*a**3 - 29*a**2 - 9. Let j(l) = 2*l**5 - 18*l**4 + 18*l**3 - 14*l**2 - 4. Let u(y) = -9*j(y) + 4*n(y). Factor u(h).
-2*h**2*(h - 5)*(