34 + b + 9*b + 10*b**2. Let o = 5148 - 5146. Let x(r) = 3*r**2 + 6*r + 11. Let f(a) = o*s(a) - 7*x(a). Factor f(k).
-(k + 3)**2
Let a be 1 + 3 - 2*2. Suppose a = 8*n - 117 - 27. Factor -12 + 3*p**2 + 20*p + n + 2*p**2 + 14.
5*(p + 2)**2
Factor 1593/7 + 33*g + 6/7*g**2.
3*(g + 9)*(2*g + 59)/7
Let a(s) = -2*s**2 + 6*s - 1. Let k(v) = -5*v**3 + 1568*v**2 - 3124*v + 4. Let g(o) = -4*a(o) - k(o). Suppose g(z) = 0. What is z?
0, 2, 310
Let -100/13*a**3 - 32/13*a**4 + 72/13 - 2/13*a**5 + 102/13*a - 40/13*a**2 = 0. What is a?
-12, -3, -1, 1
Find u such that 122/3*u**2 - 28/9*u**3 + 736/9 - 1072/9*u - 2/9*u**4 = 0.
-23, 1, 4
Factor 360/7 - 2/7*t**2 + 16/7*t.
-2*(t - 18)*(t + 10)/7
Let s(y) be the third derivative of -y**2 + 1/220*y**6 - 8/11*y**3 + 0*y + 17/44*y**4 + 4 - 1/11*y**5. Find k, given that s(k) = 0.
1, 8
Let v(t) = t**3 + 2*t**2 + t + 2. Let y(h) = -h**3 - 137*h**2 - 136*h + 8. Let b(x) = 4*v(x) - y(x). Factor b(q).
5*q*(q + 1)*(q + 28)
Suppose -2*v + 3*w + 12 = 0, 185*v - 181*v + w - 10 = 0. Factor 27/2 + v*s**3 - 27*s - 3/2*s**2.
3*(s - 3)*(s + 3)*(2*s - 1)/2
Let p(n) be the third derivative of -n**8/168 + 22*n**7/105 - 3*n**6/10 - 32*n**5/15 + 19*n**4/12 + 14*n**3 + 6*n**2 - 21. Determine l, given that p(l) = 0.
-1, 1, 2, 21
Let f be (-4 + 0)*(-27)/(-54). Let w be 3 - (13 + -8) - f. Factor 0 + 1/5*v**3 + w*v + 1/5*v**2.
v**2*(v + 1)/5
Determine z so that 1/3*z + 29929/3*z**3 + 346/3*z**2 + 0 = 0.
-1/173, 0
Determine n so that -739 + 150*n**2 + 312*n - 5*n**3 - 11 - 392*n - 515*n = 0.
-1, 6, 25
Let u = -365 - -284. Let p be ((-3)/(u/6))/((-20)/(-45)). Factor 1/4 + p*n**2 + 3/4*n.
(n + 1)*(2*n + 1)/4
Let i(l) = 2*l**2 + 10*l + 2. Let r be i(-5). Factor -324*a**r + 83*a - 99*a - 4 + 88*a.
-4*(9*a - 1)**2
Factor -468242*s**2 + 7568*s + 52 - 426674*s**2 - 124 + 56.
-4*(473*s - 2)**2
Let r = 229/24 + -75/8. Let f(l) be the third derivative of r*l**3 + 0*l - 2*l**2 - 1/240*l**5 + 0 - 1/32*l**4. Factor f(c).
-(c - 1)*(c + 4)/4
Let j(n) be the first derivative of 0*n - 24*n**2 + 6*n**4 + 17 - 20/3*n**3 - 4/5*n**5. Suppose j(f) = 0. Calculate f.
-1, 0, 3, 4
Factor 75*a**2 - 309/4*a + 39/2 + 3*a**3.
3*(a + 26)*(2*a - 1)**2/4
Let a be (-169)/(-78) - (-2)/(-12). What is t in 2*t**5 - 9*t**3 - 1843*t**2 + 1839*t**a + 3*t**3 = 0?
-1, 0, 2
Factor 592*u + 14019*u**2 - 13398*u**2 - 824*u - 896*u + 180 - 51*u**3.
-3*(u - 10)*(u - 2)*(17*u - 3)
Factor 35*y + 14*y**2 - 58*y**4 + 30 - 15*y**3 - 29*y**2 + 31*y**4 + 32*y**4.
5*(y - 3)*(y - 2)*(y + 1)**2
Suppose 0 = -4*d + 12, -10 = l + 46*d - 50*d. Suppose -3*p + 3 = 0, -f - p + 4 = l. Solve 8*i**2 + 7*i**3 + 3*i**4 + 9/2*i + f + 1/2*i**5 = 0 for i.
-2, -1
Suppose -4*h = -x - 9, 11*x - 8*x - 3 = 2*h. Let d be 42/(2 - -4) + (-15)/h. Factor 0 + 3*u**d + 5/2*u + 1/2*u**3.
u*(u + 1)*(u + 5)/2
Let a(l) be the second derivative of l**4/10 + l**3 + 18*l**2/5 - 1310*l. Factor a(n).
6*(n + 2)*(n + 3)/5
Factor -4/3*s**2 - 27556/3 - 664/3*s.
-4*(s + 83)**2/3
Let j = 736 - 734. Let -3*x**4 - 993 + 34*x**j + 21*x + 15*x**3 + 5*x**2 + 993 = 0. Calculate x.
-1, 0, 7
Let o(f) be the third derivative of -f**8/1008 - 22*f**7/315 - 7*f**6/60 + 11*f**5/45 + 43*f**4/72 - 14*f**2 + 67*f. Solve o(l) = 0 for l.
-43, -1, 0, 1
Let v(o) be the first derivative of -1/16*o**4 - 3/2*o**2 - 2*o - 1/2*o**3 - 29. Solve v(h) = 0 for h.
-2
Let l = 929428/28287 - -2/28287. Let f = l + -662/21. Factor -f*q**2 + 16/9*q + 0 - 28/9*q**3.
-4*q*(q + 1)*(7*q - 4)/9
What is u in 765/7*u - 1/7*u**2 + 1534/7 = 0?
-2, 767
Let i(x) be the third derivative of -x**5/12 - 1865*x**4/12 + 3740*x**3/3 + x**2 + 2657. Solve i(w) = 0 for w.
-748, 2
Let s be 280/(-60)*(2 + -8). Find n such that 15*n**5 - 3*n**3 + 5*n**5 - 28*n**3 - 11*n**3 - 2*n**3 - s*n**2 + 24*n + 28*n**4 = 0.
-2, -1, 0, 3/5, 1
Determine w so that -57960*w**2 + 5488000 - 2626400*w - 242*w**3 - 12*w**3 - 164*w**3 - w**4 = 0.
-140, 2
Let g be 3 + -1 + 127 + 5. Let v = g - 129. Let w(i) = -i**5 + i**4 - i. Let l(u) = -4*u**5 + 4*u**4 - u**3 + u**2 - 5*u. Let j(y) = v*w(y) - l(y). Factor j(b).
-b**2*(b - 1)**2*(b + 1)
Suppose 4*n = -6*n + 300. Suppose 135*a**3 - 15518*a**4 - 85*a**2 + 15498*a**4 + 3 - n*a - 3 = 0. What is a?
-1/4, 0, 1, 6
Let m = 673042 - 673039. Let -14/5*f**4 + 4/15*f**2 + 38/15 + 2/15*f**5 - 26/5*f + 76/15*f**m = 0. Calculate f.
-1, 1, 19
Let n(d) be the third derivative of -d**7/1155 + 107*d**6/330 - 8329*d**5/330 - 27820*d**4/11 - 811200*d**3/11 + d**2 - 2*d - 351. Find b, given that n(b) = 0.
-13, 120
Let m(u) be the second derivative of -7/3*u**3 + 1/6*u**4 - 5*u - 7 - 1/15*u**6 + 0*u**2 + 7/10*u**5. Suppose m(t) = 0. What is t?
-1, 0, 1, 7
Let h(p) be the third derivative of -4/21*p**3 + 4/21*p**4 + 0 + 1/147*p**7 - 1/210*p**6 + 0*p - 1/14*p**5 - 111*p**2. Let h(s) = 0. What is s?
-2, 2/5, 1
Factor 2/5*j**3 + 128/5 - 26/5*j**2 - 104/5*j.
2*(j - 16)*(j - 1)*(j + 4)/5
Let f(i) = -i**3 - 25*i**2 + 29*i + 80. Let j be f(-26). Determine w, given that 18*w**3 - 28*w**2 + 8*w**j - 122*w**3 - 100*w**4 - w**5 - 15*w**5 = 0.
-5, -1, -1/4, 0
Let i(t) = 51*t**3 - 588*t**2 + 748*t + 40. Let o(b) = -15*b**3 + 196*b**2 - 249*b - 13. Let l(z) = 3*i(z) + 8*o(z). Suppose l(a) = 0. What is a?
-2/33, 2, 4
Let k(x) = 15*x + 108. Let z be k(-7). Determine b, given that -1830*b + 1825*b + 0*b**z + 5*b**3 = 0.
-1, 0, 1
Let a be 60/(-81)*22980/(-25). Let p = a - 680. Let -8/9*n**2 + 2/9*n**4 + 0 + 2/9*n**3 - p*n = 0. What is n?
-2, -1, 0, 2
Let u = -36127 - -36127. Find v, given that -2/5*v**2 - 2/15*v**3 - 4/15*v + u = 0.
-2, -1, 0
Let w be ((-28)/42)/((-5823)/(-324) + -18). Find t such that -w*t + 216 + 2/3*t**2 = 0.
18
Let p = 3/175 - -166/525. Let b be (-1)/3 + 1 + 2. Factor -5/3*o**2 - 4/3 - b*o - p*o**3.
-(o + 1)*(o + 2)**2/3
Let m(y) be the third derivative of -y**8/2688 + 9*y**7/560 - 23*y**6/160 - 293*y**5/240 - 215*y**4/64 - 75*y**3/16 + 1778*y**2. Factor m(n).
-(n - 15)**2*(n + 1)**3/8
Let s(o) be the first derivative of o**4/9 + 16*o**3/9 - 128*o**2/9 + 1575. Suppose s(k) = 0. What is k?
-16, 0, 4
Let x = 858454/7 - 122629. Find i, given that x*i**3 + 39/7*i**4 - 6/7*i - 45/7*i**5 - 39/7*i**2 + 0 = 0.
-1, -2/15, 0, 1
Let m(j) be the third derivative of -1/270*j**5 + 0*j + 5*j**2 - 1/36*j**4 + 0 + 0*j**3. Let m(h) = 0. Calculate h.
-3, 0
Suppose -164 = 15*x - 254. Let z(p) be the third derivative of 0*p**4 - 10*p**2 + 0 + 0*p**3 + 0*p + 1/1155*p**7 + 1/660*p**x - 1/165*p**5. Factor z(n).
2*n**2*(n - 1)*(n + 2)/11
Let f be (165/15)/154*(-4)/(-6)*6. Let i(h) be the second derivative of -1/70*h**5 - 5/21*h**3 + 0 + 10*h + 2/21*h**4 + f*h**2. Suppose i(u) = 0. Calculate u.
1, 2
Let j(w) be the first derivative of 15*w**4/8 + 3*w**3/2 - 153*w**2/2 + 60*w - 6479. Factor j(u).
3*(u - 4)*(u + 5)*(5*u - 2)/2
Let r(d) be the second derivative of 3*d**5/40 - 41*d**4/16 + 10*d**3/3 - 107*d**2 - 139*d. Let z(f) be the first derivative of r(f). Factor z(m).
(3*m - 40)*(3*m - 1)/2
Let t be (12/(-392))/(120/(-2344)). Let g = t + 1/490. Factor 3/5 + 6/5*n**3 - 6/5*n - g*n**2.
3*(n - 1)*(n + 1)*(2*n - 1)/5
Let w(i) = 68*i - 270. Let x = 2002 + -1998. Let f be w(x). Factor -78/11*a**f - 2/11*a**3 - 1014/11*a - 4394/11.
-2*(a + 13)**3/11
Let z(r) be the third derivative of r**5/15 + 4*r**4 + 88*r**3/3 - 188*r**2. Factor z(s).
4*(s + 2)*(s + 22)
Suppose -3*n = 4*f + 10, -38*f = 4*n - 34*f + 8. Suppose l + 6*l + 2*l - 6*l - 51*l**n = 0. Calculate l.
0, 1/17
Let l(h) be the second derivative of -h**6/135 - 119*h**5/45 - 235*h**4/18 + 4*h**3/27 + 940*h**2/9 - h + 1289. Let l(r) = 0. Calculate r.
-235, -2, 1
Solve -22*k**2 - 27*k**2 - 3 - 6*k**2 - 10*k + 48*k**2 = 0.
-1, -3/7
Let g(d) be the first derivative of 2*d**3/9 - 2588*d**2/3 + 3348872*d/3 - 1902. What is k in g(k) = 0?
1294
Let k(u) be the third derivative of -u**7/210 + 157*u**6/60 + 79*u**5/5 + 475*u**4/12 + 317*u**3/6 - 1019*u**2. Factor k(a).
-(a - 317)*(a + 1)**3
Suppose 6 = -2*n + 14. Let i(d) = -5*d**4 + 41*d**3 + 4. Let f(t) = 10*t**4 - 83*t**3 - 7. Let g(s) = n*f(s) + 7*i(s). Determine y, given that g(y) = 0.
0, 9
Let u(j) be the third derivative of -j**7/1365 + 11*j**6/195 + 193*j**5/390 - 11*j**4/39 - 64*j**3/13 + 1451*j**2. Solve u(h) = 0.
-4, -1, 1, 48
Solve 1404/7*d**2 - 1776/7*d + 356/7 + 16/7*d**3 = 0.
-89, 1/4, 1
Let v be (-224)/(-7) + -