o**2 + 1112754228*o + 24416097112.
4*(o + 22)*(o + 16657)**2
Suppose -5*t**2/4 + 75*t - 1120 = 0. What is t?
28, 32
Find v such that v**5/6 + 37*v**4/6 + 215*v**3/3 + 369*v**2 + 1755*v/2 + 1575/2 = 0.
-21, -5, -3
Solve -5*a**3 + 560*a**2 + 6715*a + 6150 = 0 for a.
-10, -1, 123
Factor n**3/4 + 655*n**2/4 + 3887*n/4 - 4543/4.
(n - 1)*(n + 7)*(n + 649)/4
Factor -2*y**2/13 - 146*y/13 - 1260/13.
-2*(y + 10)*(y + 63)/13
Suppose f**5/8 + 3987*f**4/8 - 19951*f**3/8 + 35921*f**2/8 - 13971*f/4 + 998 = 0. Calculate f.
-3992, 1, 2
Factor -2*o**3 - 116340*o**2 + 116342*o.
-2*o*(o - 1)*(o + 58171)
Determine c so that -c**2 + 8075*c = 0.
0, 8075
Factor -2*i**3/9 - 39692*i**2/3.
-2*i**2*(i + 59538)/9
Factor 2*s**4/15 + 15088*s**3/15 + 9510436*s**2/5 + 56836496*s/3 + 141902890/3.
2*(s + 5)**2*(s + 3767)**2/15
Determine r so that -4*r**2 + 2953880*r - 545337940900 = 0.
369235
Suppose -62*d**4/9 + 890*d**3/9 - 1384*d**2/9 - 4256*d/9 - 640/3 = 0. What is d?
-1, -20/31, 4, 12
Let -6*b**5/7 + 188*b**4/7 - 814*b**3/7 - 5480*b**2/7 - 7736*b/7 - 3264/7 = 0. What is b?
-2, -1, 34/3, 24
Factor -2*f**2 + 1568*f + 1570.
-2*(f - 785)*(f + 1)
What is g in -5*g**3 + 194320*g**2 + 582995*g + 388670 = 0?
-2, -1, 38867
Solve 4*p**5/7 - 185*p**4/7 + 225*p**3 + 115*p**2/7 - 3959*p/7 - 330 = 0.
-1, -3/4, 2, 11, 35
Determine f so that -5*f**4/2 + 335*f**3/2 - 3430*f**2 + 22050*f = 0.
0, 14, 18, 35
Factor -2*f**3 - 24*f**2 + 72*f + 224.
-2*(f - 4)*(f + 2)*(f + 14)
Determine q so that 2*q**4/5 + 266*q**3/5 - 4472*q**2/5 - 4736*q/5 = 0.
-148, -1, 0, 16
Determine z, given that 4*z**3 - 2640*z**2 + 10368*z + 83968 = 0.
-4, 8, 656
Let 4*h**3 + 1516*h**2 + 2984*h - 12064 = 0. What is h?
-377, -4, 2
Solve -324*n**5 + 64062*n**4/5 - 6910*n**3 + 5936*n**2/5 - 312*n/5 = 0 for n.
0, 1/10, 2/9, 39
Let 3*w**4/5 - 21798*w**3 + 1319759892*w**2/5 - 5325230510226*w/5 - 15987572312679/5 = 0. Calculate w.
-3, 12111
Find b such that -b**3 - 1795*b**2 - 10734*b = 0.
-1789, -6, 0
Let 2*p**3/9 - 36*p**2 - 2354*p/9 - 676/3 = 0. What is p?
-6, -1, 169
Find z such that 2*z**3 + 2192*z**2 + 600608*z = 0.
-548, 0
Factor 7*m**4 - 4*m**3 - 51*m**2 + 28*m + 68.
(m - 2)**2*(m + 1)*(7*m + 17)
Solve 62622*d**3 - 12810*d**2 + 736*d - 8 = 0 for d.
1/71, 2/21
Find i such that 3*i**3/5 - 354*i**2/5 - 6348*i/5 - 11256/5 = 0.
-14, -2, 134
Let -2*z**5/7 - 808*z**4/7 - 100104*z**3/7 - 3509596*z**2/7 - 3213302*z/7 + 6823812/7 = 0. Calculate z.
-173, -57, -2, 1
Factor -2*x**2/5 - 406*x/5 + 1236/5.
-2*(x - 3)*(x + 206)/5
Factor r**3/6 - 921*r**2/2 - 9235*r/2 - 69325/6.
(r - 2773)*(r + 5)**2/6
Factor 12*h**3 + 718376*h**2 + 10751574400*h + 7167396992.
4*(h + 29932)**2*(3*h + 2)
Determine j so that -4*j**2 - 416824*j - 10858890436 = 0.
-52103
Let 298*g**3/9 + 902*g**2/9 + 8*g/3 = 0. Calculate g.
-3, -4/149, 0
Factor -t**3/3 + 189*t**2 - 3374*t/3 + 1496.
-(t - 561)*(t - 4)*(t - 2)/3
Determine u so that -2*u**2 - 160520*u = 0.
-80260, 0
Solve z**2/3 + 21098*z/3 + 111281401/3 = 0 for z.
-10549
Let k**2/4 - 753*k - 6040 = 0. What is k?
-8, 3020
Factor -5*b**4/2 + 2835*b**3 - 1601765*b**2/2 - 1610280*b - 806560.
-5*(b - 568)**2*(b + 1)**2/2
Let 3*p**4/2 + 3*p**3/2 - 489*p**2/2 + 897*p/2 + 693 = 0. What is p?
-14, -1, 3, 11
What is n in -4*n**5 + 84*n**4 - 404*n**3 - 260*n**2 + 1416*n - 832 = 0?
-2, 1, 8, 13
Factor z**3/3 + 600*z**2.
z**2*(z + 1800)/3
Factor -4*v**3 - 636*v**2 - 6552*v - 5920.
-4*(v + 1)*(v + 10)*(v + 148)
Let -50*z**5 + 18710*z**4 + 247842*z**3 - 62270*z**2 - 163984*z - 40248 = 0. Calculate z.
-13, -2/5, 1, 387
Factor i**3/7 - 8126*i**2/7 + 8125*i/7.
i*(i - 8125)*(i - 1)/7
What is m in -2*m**3/9 + 316*m**2/9 + 4106*m/9 - 4420/9 = 0?
-13, 1, 170
Solve 3*x**2 - 41781*x - 292614 = 0 for x.
-7, 13934
Solve 306*o**3/5 + 2362*o**2/5 - 25436*o/5 + 1488/5 = 0 for o.
-124/9, 1/17, 6
Let -l**4/3 - 147*l**3 - 16133*l**2 + 48841*l/3 = 0. What is l?
-221, 0, 1
Factor 2*q**3/13 - 90*q**2/13 + 1128*q/13 - 3200/13.
2*(q - 25)*(q - 16)*(q - 4)/13
Factor -4*x**4 + 3984*x**3 - 1322688*x**2 + 146377472*x.
-4*x*(x - 332)**3
Factor g**2 - 3524248*g + 3105080991376.
(g - 1762124)**2
Determine f, given that 2*f**5 + 21392*f**4 - 4*f**3 - 42784*f**2 + 2*f + 21392 = 0.
-10696, -1, 1
Factor -1058*u**4/9 - 77648*u**3/9 + 69320*u**2/3 - 15200*u.
-2*u*(u + 76)*(23*u - 30)**2/9
Suppose -4*o**5 + 752*o**4 - 21432*o**3 - 68848*o**2 - 70372*o - 23712 = 0. Calculate o.
-1, 39, 152
Determine d so that 5*d**5/4 + 75*d**4/2 - 635*d**3 + 5315*d**2/2 - 14265*d/4 + 1505 = 0.
-43, 1, 4, 7
Suppose -3*f**4/5 + 147*f**3/5 + 1152*f**2/5 - 94608*f/5 + 93312/5 = 0. Calculate f.
-24, 1, 36
Determine o, given that 2*o**2/21 + 82618*o/21 + 165212/7 = 0.
-41303, -6
Let -o**2/7 + 2675*o/7 + 10716/7 = 0. What is o?
-4, 2679
Determine w, given that 3*w**5 - 242166*w**4 + 4887273123*w**3 - 9773819760*w**2 + 4886788800*w = 0.
0, 1, 40360
What is z in 5*z**3 + 645*z**2 - 6260*z - 6900 = 0?
-138, -1, 10
Suppose c**2/5 - 2236*c/5 + 47175 = 0. Calculate c.
111, 2125
Factor 3*v**3/7 + 174*v**2/7 - 1536*v/7 + 3168/7.
3*(v - 4)**2*(v + 66)/7
Find g such that -50*g**2 - 5655*g + 75060 = 0.
-1251/10, 12
Let -3*z**3 - 1764*z**2 + 3537*z - 1770 = 0. Calculate z.
-590, 1
Solve -s**2 - 635*s - 94486 = 0.
-397, -238
Factor -379*x**2/2 + 1138*x/3 - 2/3.
-(x - 2)*(1137*x - 2)/6
Solve -h**4/5 - 254*h**3/5 + 59351*h**2/5 - 58584*h/5 - 118188/5 = 0 for h.
-402, -1, 2, 147
Suppose -10*z**5 + 785*z**4 - 4255*z**3 - 31350*z**2 + 54000*z = 0. What is z?
-5, 0, 3/2, 10, 72
Factor -3*h**3 - 940*h**2 + 30469*h - 19894.
-(h - 29)*(h + 343)*(3*h - 2)
Find p, given that -4*p**3/3 + 153940*p**2/3 - 615712*p/3 + 205232 = 0.
2, 38481
Find u such that u**5 - 9*u**4 + 7*u**3 + 69*u**2 - 8*u - 60 = 0.
-2, -1, 1, 5, 6
Factor 3*p**2/8 - 28725*p/4 + 275041875/8.
3*(p - 9575)**2/8
Factor 28*k**3 - 778*k**2 - 980*k - 174.
2*(k - 29)*(k + 1)*(14*k + 3)
Factor 2*p**3/5 - 2178*p**2/5 + 111078*p + 20771586/5.
2*(p - 561)**2*(p + 33)/5
Factor -29342*c**2/5 - 58688*c/5 - 8/5.
-2*(c + 2)*(14671*c + 2)/5
Factor 3*t**2/4 - 1167*t/4 - 18183/2.
3*(t - 418)*(t + 29)/4
Factor z**3/8 - 145*z**2/4 + 20583*z/8 - 20007/4.
(z - 171)*(z - 117)*(z - 2)/8
Suppose 4*x**5 + 16*x**4 + 12*x**3 = 0. What is x?
-3, -1, 0
What is d in 3*d**3 + 97704*d**2 = 0?
-32568, 0
Determine t, given that 20*t**5 - 628*t**4 + 2088*t**3 + 22384*t**2 - 96608*t + 34944 = 0.
-6, 2/5, 4, 7, 26
Determine t so that 2*t**3/19 + 69960*t**2/19 - 139926*t/19 + 69964/19 = 0.
-34982, 1
What is f in -f**4/4 + 165*f**3/4 + 1027*f**2/4 - 141*f/4 - 2565/2 = 0?
-5, -3, 2, 171
Find s, given that -4*s**5 - 276*s**4 + 2436*s**3 - 2156*s**2 = 0.
-77, 0, 1, 7
What is v in -v**2 + 2724*v + 16380 = 0?
-6, 2730
Determine d so that 3*d**4/5 - 234*d**3/5 - 1233*d**2/5 - 996*d/5 = 0.
-4, -1, 0, 83
Factor 2*q**2/9 + 270688*q/9 + 9158999168/9.
2*(q + 67672)**2/9
Determine y, given that -2*y**3/3 - 34*y**2/3 + 212*y/3 - 176/3 = 0.
-22, 1, 4
Suppose -n**4/2 + 579*n**3/2 + 2348*n**2 = 0. What is n?
-8, 0, 587
Find n such that -n**3/6 + 5360*n**2 + 2*n/3 - 21440 = 0.
-2, 2, 32160
Solve l**3 + 80*l**2 + 1457*l + 1378 = 0 for l.
-53, -26, -1
Let -z**3/3 - 662*z**2 + z/3 + 662 = 0. Calculate z.
-1986, -1, 1
What is k in k**5 + 327*k**4 - 988*k**3 + 660*k**2 = 0?
-330, 0, 1, 2
Find z such that z**3 - 1449*z**2 - 13132*z + 14580 = 0.
-10, 1, 1458
Factor -o**3/6 - 14*o**2 + 2569*o/6 - 414.
-(o - 23)*(o - 1)*(o + 108)/6
Determine i, given that -2*i**2 + 504*i + 1530 = 0.
-3, 255
Find o, given that -20*o**3 + 452*o**2 - 3020*o + 6300 = 0.
5, 63/5
Solve 5*z**2 - 102410*z + 524390405 = 0.
10241
Factor c**3/7 - 145*c**2/7 + 1023*c/7 + 354609/7.
(c - 93)**2*(c + 41)/7
Factor -4*m**3 + 23100*m**2.
-4*m**2*(m - 5775)
Find y such that -26*y**4/9 - 344*y**3/9 + 3250*y**2/9 - 608*y - 160 = 0.
-20, -3/13, 3, 4
Let 2*m**3/7 - 8620*m**2/7 - 8626*m/7 + 17244/7 = 0. What is m?
-2, 1, 4311
Suppose -2*s**3/7 - 13740*s**2/7 - 23515794*s/7 + 284171544/7 = 0. What is s?
-3441, 12
Solve -5*s**5 - 1205*s**4 + 10115*s**3 + 38705*s**2 + 27390*s = 0 for s.
-249, -2, -1, 0, 11
Factor -5*b**4 - 54695*b**3 - 54690*b**2.
-5*b**2*(b + 1)*(b + 10938)
Factor -312*s**2 - 36501*s + 351.
-3*(s + 117)*(104*s - 1)
Determine r so that -3*r**3/5 - 87*r**2 - 1266*r/5 + 1704/5 = 0.
-142, -4, 1
Let 2*j**4/9 + 38*j**3/3 + 74*j**2/