p**4 - 4*p**3 + 28*p**2 + 4*p - 24 = 0.
-3, -1, 1, 2
Factor 2*z**2/17 + 718*z/17 + 716/17.
2*(z + 1)*(z + 358)/17
Let l**3/7 - 13*l**2/7 - 29*l/7 - 15/7 = 0. Calculate l.
-1, 15
Factor -3*k**4 - 75*k**3 + 246*k**2 - 168*k.
-3*k*(k - 2)*(k - 1)*(k + 28)
Factor x**5 - 69*x**4 + 134*x**3.
x**3*(x - 67)*(x - 2)
Factor o**2/2 - 81*o/2 + 225.
(o - 75)*(o - 6)/2
Suppose -4*x**4 + 32*x**3 - 36*x**2 - 72*x = 0. What is x?
-1, 0, 3, 6
Solve 4*l**5 - 12*l**4 - 36*l**3 - 20*l**2 = 0 for l.
-1, 0, 5
Find f such that 2*f**4/7 - 240*f**3/7 + 8684*f**2/7 - 12720*f + 39326 = 0.
7, 53
Factor w**4 + 67*w**3 + 1371*w**2 + 8033*w + 6728.
(w + 1)*(w + 8)*(w + 29)**2
Determine p so that -12*p**3 + 1904*p**2 - 23884*p + 15080 = 0.
2/3, 13, 145
Solve -3*s**2/5 - 57*s/5 - 42 = 0.
-14, -5
Let 2*h**3/7 - 72*h**2/7 - 410*h/7 = 0. Calculate h.
-5, 0, 41
Find z, given that -5*z**5 - 10*z**4 + 5*z**3 + 10*z**2 = 0.
-2, -1, 0, 1
Solve 6*h**5/25 - 164*h**4/25 + 42*h**3/5 - 52*h**2/25 = 0.
0, 1/3, 1, 26
Factor -88*z**3/3 - 878*z**2 - 6540*z + 450.
-2*(z + 15)**2*(44*z - 3)/3
Let -36*z**4/7 - 100*z**3/7 + 24*z**2/7 + 144*z/7 - 32/7 = 0. What is z?
-2, 2/9, 1
Solve p**2/4 - 5*p/2 = 0.
0, 10
What is n in -n**4 - 90*n**3 - 2025*n**2 = 0?
-45, 0
Let -79507*d**5/3 - 90601*d**4 - 34830*d**3 - 4716*d**2 - 216*d = 0. Calculate d.
-3, -6/43, 0
Solve 5*j**2 - 80 = 0 for j.
-4, 4
Suppose -5*p**5 + 225*p**4 - 3760*p**3 + 28180*p**2 - 87360*p + 62720 = 0. What is p?
1, 8, 14
Find n such that 2*n**2 + 816*n - 818 = 0.
-409, 1
Suppose -3*c**4 - 72*c**3 - 297*c**2 - 228*c = 0. What is c?
-19, -4, -1, 0
Solve 2*p**4 + 296*p**3 + 14400*p**2 + 220000*p - 500000 = 0.
-50, 2
Suppose 10*r**5 + 65*r**4 + 55*r**3 - 115*r**2 - 65*r + 50 = 0. Calculate r.
-5, -2, -1, 1/2, 1
Factor 3*m**2/7 + 156*m/7 - 1647/7.
3*(m - 9)*(m + 61)/7
Determine r, given that -5*r**2 - 140*r - 980 = 0.
-14
Factor 4*i**5 - 28*i**4 - 32*i**3.
4*i**3*(i - 8)*(i + 1)
Factor 2*a**2/11 + 14*a/11 + 12/11.
2*(a + 1)*(a + 6)/11
Let y**2 + 598*y + 597 = 0. What is y?
-597, -1
Factor -3*a**4 + 3*a**3 + 36*a**2 - 84*a + 48.
-3*(a - 2)**2*(a - 1)*(a + 4)
Let 15*w**4/2 + 35*w**3 - 65*w**2/2 - 110*w - 50 = 0. What is w?
-5, -1, -2/3, 2
Find k such that -2*k**4 + 14*k**2 + 12*k = 0.
-2, -1, 0, 3
Find o, given that 5*o**2 + 65*o - 150 = 0.
-15, 2
Factor l**3/7 - 2*l**2/7 - 57*l/7 - 54/7.
(l - 9)*(l + 1)*(l + 6)/7
Suppose n**3 + 12*n**2 + 5*n - 66 = 0. What is n?
-11, -3, 2
Determine n so that -14739*n**3/8 + 148257*n**2/2 - 994194*n + 4444632 = 0.
228/17
Determine h so that -2*h**3/9 - 8*h**2/9 + 2*h/3 + 4 = 0.
-3, 2
Factor 2*z**2 + 896*z + 100352.
2*(z + 224)**2
Find i such that -2*i**3/3 - 104*i**2/3 - 512*i - 1536 = 0.
-24, -4
Determine z, given that -14*z**3/15 - 248*z**2/15 - 1048*z/15 + 64/3 = 0.
-10, -8, 2/7
Find t, given that 5*t**3 + 405*t**2 - 830*t = 0.
-83, 0, 2
Factor -5*i**3/3 - 85*i**2/3 - 80*i/3.
-5*i*(i + 1)*(i + 16)/3
Determine b, given that 2*b**3/11 - 56*b**2/11 + 248*b/11 + 2016/11 = 0.
-4, 14, 18
Factor -k**4 + 16*k**3 - 87*k**2 + 180*k - 108.
-(k - 6)**2*(k - 3)*(k - 1)
Find l such that 2*l**4/11 + 68*l**3/11 + 606*l**2/11 + 1260*l/11 = 0.
-21, -10, -3, 0
What is x in -32*x**3 - 592*x**2 - 290*x - 36 = 0?
-18, -1/4
Factor 2*p**3/3 - 446*p**2/3 + 24182*p/3 + 25538.
2*(p - 113)**2*(p + 3)/3
Factor 5*q**3 - 955*q**2.
5*q**2*(q - 191)
Factor -2*j**5/11 - 56*j**4/11 + 248*j**3/11 - 256*j**2/11.
-2*j**2*(j - 2)**2*(j + 32)/11
Suppose 4*l**5 - 4*l**4 - 28*l**3 + 4*l**2 + 24*l = 0. Calculate l.
-2, -1, 0, 1, 3
Determine o so that 2*o**3/5 - 208*o**2/5 + 408*o/5 = 0.
0, 2, 102
Let r**2/3 - 38*r + 1083 = 0. What is r?
57
Factor j**5 + 4*j**4 - 23*j**3 - 162*j**2 - 324*j - 216.
(j - 6)*(j + 2)**2*(j + 3)**2
Suppose c**2/6 + 6*c - 37/6 = 0. Calculate c.
-37, 1
Factor i**4/3 + 11*i**3/3 + 19*i**2/3 + 3*i.
i*(i + 1)**2*(i + 9)/3
Find q, given that -q**4/4 + 241*q**3/4 - 14399*q**2/4 - 14641*q/4 = 0.
-1, 0, 121
Factor 2*n**2/9 + 136*n/9 + 130/3.
2*(n + 3)*(n + 65)/9
Find g such that -2*g**2/3 + 10508*g/3 - 13802258/3 = 0.
2627
Solve -35*k**4 - 370*k**3 - 675*k**2 + 1620*k - 540 = 0.
-6, 3/7, 1
Factor -l**3/2 + 84*l**2 + 169*l/2.
-l*(l - 169)*(l + 1)/2
What is i in -3*i**4 + 9*i**3 + 27*i**2 + 15*i = 0?
-1, 0, 5
Suppose 10*g**2 + 14624*g + 5848 = 0. Calculate g.
-1462, -2/5
Find k, given that -k**3/4 - k**2/2 + 15*k/4 = 0.
-5, 0, 3
Let -2*v**3 - 38*v**2 + 84*v = 0. Calculate v.
-21, 0, 2
Solve 5*r**4/4 + 15*r**3/2 - 55*r/2 + 75/4 = 0 for r.
-5, -3, 1
Determine v, given that -9*v**2/2 + 15*v/4 = 0.
0, 5/6
Solve -92*s**3/9 + 98*s**2/9 - 2*s/3 = 0.
0, 3/46, 1
Factor -363*p**4/7 - 44154*p**3/7 + 16092*p**2/7 - 1464*p/7.
-3*p*(p + 122)*(11*p - 2)**2/7
Determine z so that -4*z**3 - 200*z**2 - 2288*z + 5408 = 0.
-26, 2
Find n such that 5*n**2 - 440*n + 9680 = 0.
44
Factor 5*c**2 - 150*c.
5*c*(c - 30)
Suppose 8*k**2 + 76*k + 140 = 0. What is k?
-7, -5/2
Suppose 3*a**3 - 51*a**2 + 114*a + 168 = 0. Calculate a.
-1, 4, 14
Factor -8*z**3/3 - 10*z**2 - 22*z/3.
-2*z*(z + 1)*(4*z + 11)/3
Find h, given that -h**3 + 39*h**2 + 130*h - 168 = 0.
-4, 1, 42
Factor 4*n**4 - 136*n**3 - 7244*n**2 + 142800*n + 4410000.
4*(n - 42)**2*(n + 25)**2
Factor 2*p**4/5 + 132*p**3/5 - 408*p**2/5 + 412*p/5 - 138/5.
2*(p - 1)**3*(p + 69)/5
Suppose a**5 + 18*a**4 + 74*a**3 + 124*a**2 + 93*a + 26 = 0. Calculate a.
-13, -2, -1
Factor 4*l**3 + 264*l**2 - 292*l - 1608.
4*(l - 3)*(l + 2)*(l + 67)
Suppose -5*s**4 - 155*s**3 - 555*s**2 - 405*s = 0. What is s?
-27, -3, -1, 0
Suppose 2*u**3/9 + 4*u**2/3 - 170*u/9 + 52/3 = 0. Calculate u.
-13, 1, 6
Factor -10*u**2/3 - 28*u - 32/3.
-2*(u + 8)*(5*u + 2)/3
Factor 3*u**2/4 - 17*u/4 - 3/2.
(u - 6)*(3*u + 1)/4
Factor 4*i**2/5 - 28*i/5 - 32/5.
4*(i - 8)*(i + 1)/5
Factor -k**4 + 19*k**3 - 114*k**2 + 224*k - 128.
-(k - 8)**2*(k - 2)*(k - 1)
Let r**2/6 + 65*r/6 - 11 = 0. What is r?
-66, 1
Factor 2*m**5 - 6*m**4 - 6*m**3 + 14*m**2 + 12*m.
2*m*(m - 3)*(m - 2)*(m + 1)**2
Suppose -2*v**2/3 - 1160*v/3 - 168200/3 = 0. What is v?
-290
Let 3*j**4 - 42*j**3 - 108*j**2 + 168*j + 384 = 0. What is j?
-2, 2, 16
Suppose 30*t**2 + 275*t + 45 = 0. What is t?
-9, -1/6
Factor -h**2/2 + 21*h/2 - 19.
-(h - 19)*(h - 2)/2
Determine b, given that b**3/4 + 107*b**2/4 = 0.
-107, 0
Find q such that -3*q**2/5 - 9*q/5 - 6/5 = 0.
-2, -1
Suppose -20*y**3 - 68*y**2 + 56*y + 32 = 0. Calculate y.
-4, -2/5, 1
Determine d, given that d**3/4 + d**2/2 - 59*d/4 - 42 = 0.
-7, -3, 8
Factor u**2/2 - 6*u + 27/2.
(u - 9)*(u - 3)/2
Find m such that -8*m**3 - 458*m**2 - 7592*m - 28392 = 0.
-26, -21/4
Determine y, given that 5*y**2 - 1200*y + 72000 = 0.
120
Factor 2*k**3/7 - 8*k**2/7 - 72*k/7 + 288/7.
2*(k - 6)*(k - 4)*(k + 6)/7
Let -t**5/3 - 8*t**4/3 - t**3/3 + 82*t**2/3 + 20*t/3 - 200/3 = 0. Calculate t.
-5, -2, 2
Let -75*b**3/2 - 145755*b**2 - 116586*b - 23316 = 0. What is b?
-3886, -2/5
Find d such that -d**2 + 124*d - 3844 = 0.
62
What is r in 135*r**5 - 591*r**4 + 537*r**3 + 123*r**2 - 168*r - 36 = 0?
-2/5, -2/9, 1, 3
Solve 58*t**3/7 + 42*t**2 - 328*t/7 - 24/7 = 0.
-6, -2/29, 1
Suppose 2*l**5/9 - 2*l**4/3 = 0. What is l?
0, 3
Factor -u**5/2 + 9*u**4/2 + 18*u**3.
-u**3*(u - 12)*(u + 3)/2
What is z in 2*z**3/5 - 3388*z**2/5 = 0?
0, 1694
Solve -2*f**5/9 - 28*f**4/9 + 64*f**3/9 - 4*f**2/9 - 62*f/9 + 32/9 = 0.
-16, -1, 1
Factor -h**4/2 + 11*h**3/2 - 11*h**2 - 30*h + 36.
-(h - 6)**2*(h - 1)*(h + 2)/2
Let 2*b**4/7 - 76*b**3/7 - 328*b**2/7 - 48*b = 0. What is b?
-2, 0, 42
Solve 2*i**3 + 350*i**2 - 352*i = 0.
-176, 0, 1
Let -2*w**4/3 + 8*w**3 + 210*w**2 - 1324*w/3 + 224 = 0. What is w?
-14, 1, 24
Determine l so that 39*l**5/7 - 12*l**4/7 - 117*l**3/7 + 114*l**2/7 - 24*l/7 = 0.
-2, 0, 4/13, 1
What is n in -2*n**3 - 138*n**2 - 136*n = 0?
-68, -1, 0
What is s in 50*s**3 + 2680*s**2/3 - 1078*s/9 + 4 = 0?
-18, 1/15
Determine i, given that i**5/5 - 36*i**4/5 + 239*i**3/5 - 412*i**2/5 - 48*i + 448/5 = 0.
-1, 1, 4, 28
Solve 2*v**3 + 62*v**2 - 434*v + 370 = 0 for v.
-37, 1, 5
Factor 350*d**4/9 + 920*d**3/9 + 242*d**2/3 + 20*d.
2*d*(5*d + 3)**2*(7*d + 10)/9
Determine l so that -l**3 - 444*l**2 - 48837*l + 99458 = 0.
-223, 2
Factor -5*b**5 - 115*b**4 - 290*b**3 + 1610*b**2 - 1865*b + 665.
-5*(b - 1)**3*(b + 7)*(b + 19)
Factor -3*s**4 - 12*s**3 + 9*s**2 + 42*s + 24.
-3*(s - 2)*(s + 1)**2*(s + 4)
Sol