664388401/7 = 0.
-157049
Factor z**2/2 - 1208*z + 7230.
(z - 2410)*(z - 6)/2
Find w, given that -3*w**5/2 - 327*w**4 + 4845*w**3/2 + 13566*w**2 + 14850*w = 0.
-225, -2, 0, 11
Factor -3*q**3/7 + 20691*q**2/7 - 20688*q/7.
-3*q*(q - 6896)*(q - 1)/7
Determine x, given that -x**2 + 320726*x - 25716291769 = 0.
160363
Determine k so that -5*k**5 + 130*k**4 + 1485*k**3 + 3150*k**2 = 0.
-6, -3, 0, 35
Factor 2*v**3 + 9654*v**2 + 38592*v + 38584.
2*(v + 2)**2*(v + 4823)
What is l in 2*l**2/9 + 230*l/9 - 236/3 = 0?
-118, 3
Factor -x**3/3 + 3925*x**2/3 + 15716*x/3.
-x*(x - 3929)*(x + 4)/3
Solve r**3/8 + 1011*r**2/4 + 256035*r/2 + 19221553 = 0 for r.
-1346, -338
Suppose -i**2/3 - 254*i + 38023/3 = 0. What is i?
-809, 47
Determine k, given that 2*k**2 - 6174*k + 18504 = 0.
3, 3084
Solve o**4/3 - 176*o**3 + 349*o**2 + 2636*o/3 - 1052 = 0 for o.
-2, 1, 3, 526
Factor 2*g**2/5 + 122780*g + 9421830250.
2*(g + 153475)**2/5
Factor -2*p**3 - 18084*p**2 + 18086*p.
-2*p*(p - 1)*(p + 9043)
Suppose 3*z**4/5 - 63*z**3/5 - 1107*z**2/5 - 2793*z/5 + 792 = 0. What is z?
-8, -5, 1, 33
Factor -3*k**3 + 10602*k**2 - 9281475*k - 151230000.
-3*(k - 1775)**2*(k + 16)
Factor 19*u**4/10 - 1077*u**3/5 - 43389*u**2/10 - 101088*u/5.
u*(u + 9)**2*(19*u - 2496)/10
Let -6*t**2/7 - 321*t/7 + 666/7 = 0. Calculate t.
-111/2, 2
Let -14*k**3 + 46778*k**2 + 33424*k - 13368 = 0. What is k?
-1, 2/7, 3342
Factor -q**3/4 - 1982*q**2 - 15721221*q/4 - 15705369/2.
-(q + 2)*(q + 3963)**2/4
Suppose 5*n**5 + 120*n**4 + 640*n**3 - 810*n**2 - 4005*n + 4050 = 0. What is n?
-15, -9, -3, 1, 2
Factor 2*f**3 + 1482*f**2 + 23200*f.
2*f*(f + 16)*(f + 725)
Solve 3*q**5 - 51*q**4 - 438*q**3 + 534*q**2 + 435*q - 483 = 0.
-7, -1, 1, 23
Let 10*l**4/7 + 2228*l**3/7 + 29054*l**2/7 + 44260*l/7 - 10032/7 = 0. Calculate l.
-209, -12, -2, 1/5
Suppose 17*v**3 + 1304*v**2 + 25460*v + 17328 = 0. What is v?
-38, -12/17
Factor 22*h**3/5 - 177*h**2/5 + 76*h - 45.
(h - 5)*(h - 1)*(22*h - 45)/5
Suppose -3*p**2/4 + 9141*p/4 + 2286 = 0. Calculate p.
-1, 3048
Factor 12*s**4 - 968*s**3 - 10044*s**2 - 3240*s.
4*s*(s - 90)*(s + 9)*(3*s + 1)
Solve -2*a**4/7 + 786*a**3/7 - 2344*a**2/7 + 1560*a/7 = 0 for a.
0, 1, 2, 390
Solve 2*v**5/3 - 44*v**4/3 + 248*v**3/3 - 112*v**2 = 0 for v.
0, 2, 6, 14
Factor 42*j**2 + 6381*j - 6885.
3*(j + 153)*(14*j - 15)
Factor -2*a**2/9 + 302*a/9 + 3068/3.
-2*(a - 177)*(a + 26)/9
Solve -13*s**2 + 1855*s + 572 = 0 for s.
-4/13, 143
Factor -2*t**3/9 + 394*t**2/9 + 21140*t/3.
-2*t*(t - 302)*(t + 105)/9
What is g in -g**3 + 1303*g**2 + 4*g - 5212 = 0?
-2, 2, 1303
Factor g**2 + 1123553*g + 1123552.
(g + 1)*(g + 1123552)
Factor -4*j**2/3 - 182104*j/3 + 728480/3.
-4*(j - 4)*(j + 45530)/3
What is m in m**4/7 - 390*m**3/7 + 28932*m**2/7 - 575368*m/7 - 1269600/7 = 0?
-2, 46, 300
Let -7*h**2 - 260*h + 2112 = 0. Calculate h.
-44, 48/7
Factor r**3 + 12368*r**2 + 38266580*r + 152868496.
(r + 4)*(r + 6182)**2
Factor z**3/6 - 55*z**2/2 + 559*z/3 - 316.
(z - 158)*(z - 4)*(z - 3)/6
Find b, given that -2*b**3/5 - 66*b**2 + 3152*b/5 + 696 = 0.
-174, -1, 10
Solve 3*v**4 + 18114*v**3 + 27106587*v**2 - 713981424*v + 4660863168 = 0 for v.
-3032, 13
Determine w, given that -w**5/9 + 158*w**4/3 - 2338*w**3/9 - 1096*w**2/3 + 2339*w/9 + 938/3 = 0.
-1, 1, 6, 469
Let -6*k**5 + 3608*k**4 - 805198*k**3 + 78925596*k**2 - 2851024000*k - 1936000000 = 0. What is k?
-2/3, 125, 176
Solve 5*a**3 + 180130*a**2 + 1622340845*a = 0 for a.
-18013, 0
Factor 16*k**4 - 65008*k**3 + 65999364*k**2 + 66048128*k + 16516096.
4*(k - 2032)**2*(2*k + 1)**2
Factor -2*d**2/3 + 180*d + 22506.
-2*(d - 363)*(d + 93)/3
Find x, given that 2*x**4/9 - 1642*x**3/9 - 682496*x**2/3 - 591265792*x/9 - 53317992448/9 = 0.
-256, 1589
Factor -m**4/8 - 16965*m**3 - 767496600*m**2 - 11573848728000*m.
-m*(m + 45240)**3/8
Factor j**2 + 44346*j + 491641929.
(j + 22173)**2
Factor o**3/8 - 1057*o**2/8 - 398*o + 530.
(o - 1060)*(o - 1)*(o + 4)/8
Find d such that -2*d**2/3 + 1886*d/3 + 116116/3 = 0.
-58, 1001
Factor -v**4/3 - 732*v**3 - 4388*v**2/3.
-v**2*(v + 2)*(v + 2194)/3
Factor -c**5 + 34*c**4 + 240*c**3.
-c**3*(c - 40)*(c + 6)
Solve 10999896*i**3 + 10994480*i**2 - 16246*i/3 + 2/3 = 0.
-1, 1/4062
Factor 321842645*v**3 + 80230*v**2 + 5*v.
5*v*(8023*v + 1)**2
Factor -2*k**2/9 + 6094*k/9 - 42560/9.
-2*(k - 3040)*(k - 7)/9
Factor -2*g**3 - 1349030*g**2 - 2698054*g - 1349026.
-2*(g + 1)**2*(g + 674513)
Factor y**3/10 + 1911*y**2/10 + 7623*y/10 - 1907/2.
(y - 1)*(y + 5)*(y + 1907)/10
Find z such that -z**5 + 122121*z**4 - 3728445712*z**3 + 3727346628*z**2 + 29828054240*z - 44739883200 = 0.
-3, 2, 61060
Determine d, given that -534*d**2/11 - 2666*d/11 + 20/11 = 0.
-5, 2/267
Let 20*w**5 + 105*w**4 - 635*w**3 + 375*w**2 + 135*w = 0. Calculate w.
-9, -1/4, 0, 1, 3
Find u such that 169*u**4/3 - 97357*u**3/3 - 187658*u**2/3 - 36980*u - 6936 = 0.
-1, -6/13, 578
Factor -108*k**3 - 741*k**2 - 543*k + 90.
-3*(k + 1)*(k + 6)*(36*k - 5)
Let z**4/2 + 772*z**3 - 773*z**2 - 772*z + 1545/2 = 0. Calculate z.
-1545, -1, 1
What is l in 3*l**2/4 - 783*l/2 + 22815/4 = 0?
15, 507
Suppose f**5 + 825*f**4 - 3322*f**3 - 4970*f**2 + 3321*f + 4145 = 0. What is f?
-829, -1, 1, 5
Suppose -262144*a**4/3 + 618496*a**3/3 - 172608*a**2 + 185861*a/3 - 24389/3 = 0. Calculate a.
29/64, 1
Find t, given that -3*t**4/5 - 528*t**3/5 + 39846*t**2/5 + 528*t/5 - 39843/5 = 0.
-233, -1, 1, 57
Factor -7132*g**2 - 14274*g - 20.
-2*(g + 2)*(3566*g + 5)
Determine v, given that 2*v**3/9 - 100*v**2/9 + 146*v/3 + 60 = 0.
-1, 6, 45
Let 3*o**2/4 + 1737*o/4 + 50787/2 = 0. Calculate o.
-513, -66
Find b, given that 4*b**5 - 180*b**4 - 13156*b**3 - 37740*b**2 = 0.
-37, -3, 0, 85
Factor 4241163*w**3/8 - 21220083*w**2/8 + 8919*w - 15/2.
3*(w - 5)*(1189*w - 2)**2/8
Solve 2*l**2 - 8852*l - 17712 = 0 for l.
-2, 4428
Factor -2*c**3/3 - 678*c**2 + 10976*c - 132224/3.
-2*(c - 8)**2*(c + 1033)/3
Suppose -5*m**2 + 87740*m + 175500 = 0. Calculate m.
-2, 17550
Factor j**2/2 - 15*j/2 - 8.
(j - 16)*(j + 1)/2
Factor 5*f**4 + 1180210*f**3 + 92860496400*f**2 + 2435545096432000*f + 4870718760320000.
5*(f + 2)*(f + 78680)**3
Let 52*m**4 + 19024*m**3 + 37892*m**2 + 18920*m = 0. Calculate m.
-4730/13, -1, 0
Factor o**4/4 + 113*o**3/4 + 1983*o**2/2 + 10512*o + 17280.
(o + 2)*(o + 15)*(o + 48)**2/4
Factor k**3/2 + 497*k**2 - 3997*k/2 - 2495.
(k - 5)*(k + 1)*(k + 998)/2
Suppose 45*w**3 - 14135*w**2 + 98275*w - 10745 = 0. What is w?
1/9, 7, 307
Let 32*i**4/17 - 12447664*i**3/17 + 1210499536962*i**2/17 + 605252102420*i/17 + 75656610050/17 = 0. Calculate i.
-1/4, 194495
What is x in 5*x**5 - 80*x**4 + 95*x**3 + 640*x**2 - 100*x - 560 = 0?
-2, -1, 1, 4, 14
Find t such that -t**2/6 + 6010*t/3 + 60125/6 = 0.
-5, 12025
Let 4*a**4 + 252*a**3 - 548*a**2 - 1836*a - 1040 = 0. Calculate a.
-65, -1, 4
Find k such that 3*k**2/4 + 2025*k + 8097/4 = 0.
-2699, -1
Factor -k**2/7 - 1381*k/7 + 1382/7.
-(k - 1)*(k + 1382)/7
Let -t**2/2 - 4122*t - 269874 = 0. What is t?
-8178, -66
What is y in -10*y**5 - 156*y**4 + 6646*y**3/5 - 1800*y**2 - 7352*y/5 - 1056/5 = 0?
-22, -2/5, -1/5, 3, 4
Factor -2*s**2/7 - 2676*s/7 - 2662.
-2*(s + 7)*(s + 1331)/7
Find g, given that -g**4 - 80*g**3 + 543*g**2 + 2322*g = 0.
-86, -3, 0, 9
Suppose -3*f**3 + 93837*f**2 - 733734960*f - 733828800 = 0. What is f?
-1, 15640
Let -2*p**3/3 - 134*p**2/3 + 14024*p/3 - 13888/3 = 0. Calculate p.
-124, 1, 56
What is b in 2*b**2 + 3894*b + 19420 = 0?
-1942, -5
Determine f so that 2*f**2 + 38784*f + 38782 = 0.
-19391, -1
Let -2*m**5/7 - 176*m**4/7 - 4808*m**3/7 - 37476*m**2/7 + 12870*m - 6804 = 0. What is m?
-42, -27, -21, 1
Solve 2*b**4 - 62*b**3 + 564*b**2 - 576*b - 8640 = 0.
-3, 10, 12
Factor g**2/7 + 1730*g/7 - 10632.
(g - 42)*(g + 1772)/7
Find d, given that -2*d**3 + 640*d**2 + 5216*d + 10496 = 0.
-4, 328
Suppose -2*o**3/7 + 666*o**2/7 - 5610*o + 92050 = 0. What is o?
35, 263
What is x in -3*x**2 + 1273878*x - 135230429907 = 0?
212313
Determine j so that 5*j**4 - 940*j**3 + 10800*j**2 - 42560*j + 56320 = 0.
4, 176
Find y such that 4*y**2 - 344*y + 996 = 0.
3, 83
Solve 2*t**2/7 - 407756*t/7 + 20783119442/7 = 0 for t.
101939
Suppose -b**4/4 + 117*b**3/4 - 3537*b**2/4 + 6727*b/4 - 1653/2 = 0. What is b?
1, 57, 58
Factor 3*j**3 + 39*j**2/4 - 471*j/4 - 30.
3*(j - 5)*(j + 8)*(4*j + 1)/4
Determine c so that 2*c**3/15 - 158*c**2/3 