 2645*r**3 + 2970*r**2 = 0. What is r?
-54, -11, 0, 1
Factor 3*h**2 - 117*h - 120.
3*(h - 40)*(h + 1)
Factor s**3/4 - 15*s**2/4 + 75*s/4 - 125/4.
(s - 5)**3/4
What is g in 5*g**3 + 50*g**2 + 145*g + 100 = 0?
-5, -4, -1
Factor -2*i**2 + 2630*i - 2628.
-2*(i - 1314)*(i - 1)
Factor -9*b**5 - 12*b**4.
-3*b**4*(3*b + 4)
Let 3*n**3/4 + 729*n**2/2 + 45360*n + 259200 = 0. Calculate n.
-240, -6
Factor -3*q**2 + 147*q - 144.
-3*(q - 48)*(q - 1)
Factor 198*y**3/5 - 62*y**2/5 + 4*y/5.
2*y*(9*y - 2)*(11*y - 1)/5
Factor 2*o**2/11 + 2*o/11.
2*o*(o + 1)/11
Suppose -4*j**3/5 + 8*j**2 = 0. Calculate j.
0, 10
Factor 9*b**4 + 2*b**3 - 36*b**2 - 8*b.
b*(b - 2)*(b + 2)*(9*b + 2)
Factor 5*h**4 - 20*h**3 - 10*h**2 + 60*h + 45.
5*(h - 3)**2*(h + 1)**2
Determine i, given that -i**3/5 + 162*i**2/5 - 6561*i/5 = 0.
0, 81
Find s such that 7986*s**5 + 22506*s**4 + 11704*s**3 - 23776*s**2/9 + 512*s/3 - 32/9 = 0.
-2, -1, 2/33
Find m, given that m**2 - 98*m + 1377 = 0.
17, 81
Factor -f**5/10 + 27*f**4/10 - 219*f**3/10 + 101*f**2/2 - 228*f/5 + 72/5.
-(f - 12)**2*(f - 1)**3/10
Factor -2*c**5/9 - 50*c**4/9 - 176*c**3/9 - 56*c**2/3.
-2*c**2*(c + 2)**2*(c + 21)/9
Factor -10*l**3 + 4*l**2 + 10*l - 4.
-2*(l - 1)*(l + 1)*(5*l - 2)
Factor -5*h**5/2 + 40*h**4 + 175*h**3/2 + 45*h**2.
-5*h**2*(h - 18)*(h + 1)**2/2
Factor -4*w**2/9 + 940*w/9.
-4*w*(w - 235)/9
What is c in -2*c**2 + 28*c - 48 = 0?
2, 12
Factor 4*q**2 + 1548*q.
4*q*(q + 387)
Factor 2*n**4/17 - 416*n**3/17 + 22044*n**2/17 - 42848*n/17 + 21218/17.
2*(n - 103)**2*(n - 1)**2/17
Factor -2*h**3/3 - 6*h**2 + 8*h + 40/3.
-2*(h - 2)*(h + 1)*(h + 10)/3
Factor 3*v**5 - 9*v**4 + 6*v**3.
3*v**3*(v - 2)*(v - 1)
Factor -2*i**2/7 + 286*i/7 + 288/7.
-2*(i - 144)*(i + 1)/7
Factor 3*x**5 + 3*x**4 - 3*x**3 - 3*x**2.
3*x**2*(x - 1)*(x + 1)**2
Suppose -n**4/2 - 17*n**3/2 - 25*n**2/2 + 81*n/2 + 45 = 0. What is n?
-15, -3, -1, 2
Determine d, given that d**5 + 3*d**4 - 15*d**3 + 17*d**2 - 6*d = 0.
-6, 0, 1
Suppose 3*n**2 - 1506*n + 189003 = 0. Calculate n.
251
Factor -120*x**3 + 415*x**2 - 220*x - 260.
-5*(x - 2)**2*(24*x + 13)
Solve -x**4/4 + 4*x**3 + 993*x**2/4 + 1855*x - 2107 = 0.
-14, 1, 43
Factor 2*g**2/7 - 6248*g/7 + 4879688/7.
2*(g - 1562)**2/7
Determine l, given that -3*l**4 - 111*l**3 - 585*l**2 - 837*l = 0.
-31, -3, 0
Factor 2*i**5 - 13*i**4 - 61*i**3 - 85*i**2 - 49*i - 10.
(i - 10)*(i + 1)**3*(2*i + 1)
Determine w, given that 7*w**5 + 5*w**4 - 9*w**3 - 5*w**2 + 2*w = 0.
-1, 0, 2/7, 1
Suppose 3*z**5/4 - 873*z**4/4 + 84681*z**3/4 - 2738019*z**2/4 = 0. What is z?
0, 97
Factor -3*p**2/2 + 555*p/2.
-3*p*(p - 185)/2
Factor -2*d**3/9 - 28*d**2 - 982*d/9 - 244/3.
-2*(d + 1)*(d + 3)*(d + 122)/9
What is j in -j**3/2 + 15*j**2/2 - 27*j/2 + 13/2 = 0?
1, 13
Find z such that -17*z**5/3 + 56*z**4 - 133*z**3/3 - 6*z**2 = 0.
-2/17, 0, 1, 9
Factor -2*c**2/5 + 6*c/5.
-2*c*(c - 3)/5
Factor -2*w**2/19 + 3412*w/19 - 1455218/19.
-2*(w - 853)**2/19
Factor -4*c**3 + 32*c**2 + 4*c - 32.
-4*(c - 8)*(c - 1)*(c + 1)
Solve 4*p**3/7 + 18*p**2/7 = 0.
-9/2, 0
Factor 5*s**4 - 60*s**2 + 80*s.
5*s*(s - 2)**2*(s + 4)
Factor -4*a**2 - 84*a + 288.
-4*(a - 3)*(a + 24)
What is j in 2*j**4/15 - 1346*j**3/15 + 448*j**2/5 = 0?
0, 1, 672
Find v such that -v**5 + 6*v**4 - 6*v**3 - 16*v**2 + 15*v + 18 = 0.
-1, 2, 3
Factor -2*k**5/11 + 14*k**4/11 - 20*k**3/11.
-2*k**3*(k - 5)*(k - 2)/11
Suppose -k**5/2 + 5*k**4 + 83*k**3/2 + 98*k**2 + 94*k + 32 = 0. Calculate k.
-2, -1, 16
Let 4*j**2/7 - 63480*j/7 + 251856900/7 = 0. What is j?
7935
Determine s so that 7*s**4 - 108*s**3 + 570*s**2 - 1100*s + 375 = 0.
3/7, 5
Solve s**3/9 - 7*s**2/9 + 2*s/3 = 0.
0, 1, 6
Factor -2*g**4/7 - 4*g**3/7 + 26*g**2/7 - 20*g/7.
-2*g*(g - 2)*(g - 1)*(g + 5)/7
Solve w**2/3 - 4*w/3 - 4 = 0.
-2, 6
Factor 4*d**5 + 16*d**4 - 56*d**2 - 68*d - 24.
4*(d - 2)*(d + 1)**3*(d + 3)
Factor 5*h**2 + 75*h - 170.
5*(h - 2)*(h + 17)
Let 7*q**3/6 - q**2/3 = 0. What is q?
0, 2/7
Determine g so that 2*g**3 + 3196*g**2/5 + 1646*g - 3804/5 = 0.
-317, -3, 2/5
Let 4*r**3/9 - 52*r**2/9 + 208*r/9 - 80/3 = 0. Calculate r.
2, 5, 6
What is d in 3*d**5 - 1308*d**4 + 189219*d**3 - 8954034*d**2 - 18480972*d - 9336408 = 0?
-1, 146
Determine h, given that 2*h**5 + 8*h**4 - 40*h**3 - 132*h**2 + 198*h + 540 = 0.
-5, -3, -2, 3
Suppose 2*j**4/13 - 12*j**3/13 - 22*j**2/13 + 48*j/13 + 56/13 = 0. What is j?
-2, -1, 2, 7
Solve 2*o**2 - 6472*o - 12952 = 0 for o.
-2, 3238
Factor 2*z**5 + 476*z**4 + 28322*z**3.
2*z**3*(z + 119)**2
Suppose -5*r**4 + 90*r**3 + 95*r**2 = 0. What is r?
-1, 0, 19
Solve 2*u**4/19 - 20*u**3/19 + 54*u**2/19 - 36*u/19 = 0 for u.
0, 1, 3, 6
Suppose 950*o**3/3 - 964*o**2/3 + 14*o/3 = 0. What is o?
0, 7/475, 1
Let 3*q**2/2 + 42*q - 87/2 = 0. Calculate q.
-29, 1
Determine z, given that -3*z**5/7 + 33*z**4/7 + 2091*z**3/7 + 15087*z**2/7 - 2088*z/7 - 2160 = 0.
-12, -1, 1, 35
Determine y so that y**2 + 154*y + 5929 = 0.
-77
Suppose 2*w**2/9 - 454*w/9 - 152/3 = 0. What is w?
-1, 228
Solve -9*x**3 + 921*x**2 - 23715*x + 7803 = 0.
1/3, 51
Determine a, given that -a**3 + 121*a**2 - 3339*a - 19845 = 0.
-5, 63
Factor -15*v**3 - 234*v**2 - 567*v.
-3*v*(v + 3)*(5*v + 63)
Let 2*u**3 - 42*u**2 - 140*u - 96 = 0. Calculate u.
-2, -1, 24
Factor h**2/3 - 4*h/3 - 7.
(h - 7)*(h + 3)/3
Find s such that 2*s**5/15 + 8*s**4/5 - 8*s**3/5 - 1408*s**2/15 - 2176*s/5 - 3072/5 = 0.
-6, -4, 8
Solve -3*p**4/4 - 5*p**3/4 - p**2/2 = 0 for p.
-1, -2/3, 0
Solve -d**5/3 - 2*d**4 + 49*d**3/3 - 70*d**2/3 - 12*d + 88/3 = 0.
-11, -1, 2
Factor 2*b**2 - 350*b + 692.
2*(b - 173)*(b - 2)
Solve -3*o**4 + 3*o**3 + 3*o**2 - 3*o = 0.
-1, 0, 1
Factor -3*s**2/7 + 2274*s/7 - 430923/7.
-3*(s - 379)**2/7
Factor 10*u**4 + 475*u**3 + 230*u**2 - 235*u.
5*u*(u + 1)*(u + 47)*(2*u - 1)
Solve -t**4/4 + 19*t**3/2 + 463*t**2/4 + 202*t + 96 = 0.
-8, -1, 48
Find n such that -4*n**4/3 + 8*n**3 + 20*n**2 + 32*n/3 = 0.
-1, 0, 8
Find x such that -3*x**2 - 552*x - 25392 = 0.
-92
Factor p**2 + 330*p + 27225.
(p + 165)**2
Factor 3*t**2 - 207*t + 402.
3*(t - 67)*(t - 2)
Determine a, given that -4*a**3/3 - 60*a**2 - 512*a/3 - 112 = 0.
-42, -2, -1
Solve h**5/3 + 7*h**4/3 + 7*h**3/3 - 23*h**2/3 - 8*h/3 + 16/3 = 0.
-4, -1, 1
Solve 2*l**5/5 + 66*l**4/5 + 46*l**3/5 - 2282*l**2/5 + 4152*l/5 - 1984/5 = 0.
-31, -8, 1, 4
Determine g so that 4*g**5 + 12*g**4 - 20*g**3 - 60*g**2 + 16*g + 48 = 0.
-3, -2, -1, 1, 2
Suppose -k**3/5 - 183*k**2/5 + 186*k/5 + 368/5 = 0. Calculate k.
-184, -1, 2
Factor -4*u**4 - 24*u**3 + 484*u**2 + 504*u.
-4*u*(u - 9)*(u + 1)*(u + 14)
Determine a so that -33*a**3 + 885*a**2 + 2076*a + 348 = 0.
-2, -2/11, 29
Suppose -2*o**4/15 - 8*o**3/3 - 106*o**2/15 + 628*o/15 - 32 = 0. What is o?
-15, -8, 1, 2
Find f such that -f**5/7 - 9*f**4/7 - 23*f**3/7 - 15*f**2/7 = 0.
-5, -3, -1, 0
What is q in 12*q**3 + 291*q**2 + 348*q + 69 = 0?
-23, -1, -1/4
Solve -q**4 - 12*q**3 - 51*q**2 - 92*q - 60 = 0 for q.
-5, -3, -2
Determine m so that 15*m**5 + 20*m**4 - 165*m**3 - 490*m**2 - 480*m - 160 = 0.
-2, -4/3, -1, 4
Find a such that -a**4/6 - a**3/6 + a**2/6 + a/6 = 0.
-1, 0, 1
Suppose i**3 + 4*i**2 - 45*i = 0. Calculate i.
-9, 0, 5
Find q, given that 14*q**2 + 934*q - 268 = 0.
-67, 2/7
Factor c**3/9 + 7*c**2/3 - 22*c/9.
c*(c - 1)*(c + 22)/9
Suppose -v**5/2 - 67*v**4/2 + 71*v**3 + 134*v**2 - 276*v = 0. Calculate v.
-69, -2, 0, 2
Let 565*x**2/7 - 242*x - 3/7 = 0. Calculate x.
-1/565, 3
Determine t so that 4*t**3 + 904*t**2 - 5548*t + 4640 = 0.
-232, 1, 5
Determine a, given that -2*a**4/3 + 32*a**3/3 + 76*a**2/3 - 208*a - 510 = 0.
-3, 5, 17
Let 8*h**4/3 + 10*h**3 - 14*h**2/3 - 8*h = 0. Calculate h.
-4, -3/4, 0, 1
Factor -4*y**2 + 492*y + 1512.
-4*(y - 126)*(y + 3)
Let w**2/3 - 23*w + 134/3 = 0. Calculate w.
2, 67
Determine i so that 5*i**5 - 15*i**4 - 50*i**3 = 0.
-2, 0, 5
Suppose -2*t**3/3 + 44*t**2/3 = 0. Calculate t.
0, 22
Let -2*f**2/5 + 32*f/5 - 126/5 = 0. What is f?
7, 9
Factor -j**4/3 + 3*j**3 - 8*j**2 + 16*j/3.
-j*(j - 4)**2*(j - 1)/3
Find t such that 2*t**4/3 + 8*t**3 = 0.
-12, 0
Determine p, given that -20*p**5 - 1715*p**4 + 490*p**3 + 5185*p**2 + 2140*p - 860 = 0.
-86, -1, 1/4, 2
Solve -2*q**3/7 - 2*q**2/7 + 10*q/7 - 6/7 = 0 for q.
-3, 1
Let -3*y**2/7 - 393*y/7 - 372 = 0. What is y?
-124, -7
Solve 8*s**5/5 - 76*s**4/5 - 228*s**3/5 - 144*s**2/5 = 0.
-3/2, -1, 0, 12
Factor 4*j**2 + 156*j.
4*j*(j + 39)
Dete