- 51130*s**2 + 255612*s - 306720.
2*(s - 25560)*(s - 3)*(s - 2)
Factor -4*g**3 - 1492*g**2 - 74144*g - 994112.
-4*(g + 28)**2*(g + 317)
Factor -10*j**3 - 238*j**2 - 6358*j/5 - 9826/5.
-2*(j + 17)*(5*j + 17)**2/5
Suppose r**2/5 + 125*r + 2484/5 = 0. What is r?
-621, -4
Factor -5*o**4 + 5*o**3 + 30*o**2.
-5*o**2*(o - 3)*(o + 2)
Determine q so that -3*q**5 - 289*q**4 + 3091*q**3 + 1737*q**2 - 6940*q - 5300 = 0.
-106, -1, 5/3, 10
Factor -7*m**2/4 - 5559*m/4 + 2385/2.
-(m + 795)*(7*m - 6)/4
Factor 141*v**2 - 7110*v.
3*v*(47*v - 2370)
Solve -6*u**4 - 2996*u**3/5 + 3230*u**2 - 420*u = 0.
-105, 0, 2/15, 5
Factor p**2 + 834*p + 1664.
(p + 2)*(p + 832)
Factor 4*d**3 - 768*d**2 - 6372*d - 5600.
4*(d - 200)*(d + 1)*(d + 7)
Factor -4*y**2 + 1344*y - 87932.
-4*(y - 247)*(y - 89)
Suppose 2*k**2/3 + 1031144*k + 398721730776 = 0. Calculate k.
-773358
Let 2*o**3/3 + 14*o**2/3 - 836*o/3 + 1600/3 = 0. Calculate o.
-25, 2, 16
Determine m, given that 2*m**3/3 - 10*m**2 - 116*m/3 + 272 = 0.
-6, 4, 17
Suppose f**4 - 183*f**3 + 7900*f**2 + 43428*f + 35344 = 0. What is f?
-4, -1, 94
What is j in 3*j**2/4 + 8181*j/4 - 8187/2 = 0?
-2729, 2
Determine w so that 9*w**5/5 + 291*w**4/5 - 582*w**3/5 - 2388*w**2/5 + 2184*w/5 + 4896/5 = 0.
-34, -2, -4/3, 2, 3
Determine h so that -6*h**5/5 - 726*h**4/5 - 5226*h**3/5 + 22374*h**2/5 = 0.
-113, -11, 0, 3
Solve c**5/4 + 637*c**4/4 + 635*c**3/4 - 637*c**2/4 - 159*c = 0.
-636, -1, 0, 1
Suppose -5*p**4/2 - 315*p**3/2 - 1280*p**2 + 53640*p + 440640 = 0. What is p?
-36, -8, 17
Factor f**2/2 - 417*f/2 + 826.
(f - 413)*(f - 4)/2
Find j, given that j**4/2 - 50*j**3 - 1357*j**2/2 + 728*j = 0.
-13, 0, 1, 112
Suppose 3993*w**4 + 1452*w**3 - 1786752*w**2 + 20252112*w - 64785552 = 0. Calculate w.
-26, 94/11
Let -w**5/3 - 3119*w**4/3 - 2442916*w**3/3 - 16935476*w**2/3 + 9771680*w/3 + 67791808/3 = 0. Calculate w.
-1556, -7, -2, 2
Solve -4*j**2 + 644068*j - 644064 = 0.
1, 161016
Solve -3*b**3 + 237*b**2 + 11772*b + 22572 = 0 for b.
-33, -2, 114
Factor 2*g**2/11 - 179152*g/11 - 179154/11.
2*(g - 89577)*(g + 1)/11
Solve -33*k**3 + 315984*k**2 + 545865*k + 229848 = 0.
-1, -8/11, 9577
Find y such that 3*y**2/4 - 423*y + 10491 = 0.
26, 538
Factor t**3 + 4578*t**2 - 4581*t - 9158.
(t - 2)*(t + 1)*(t + 4579)
Factor -z**3/3 + 1418*z**2/3 + 5684*z/3 + 1896.
-(z - 1422)*(z + 2)**2/3
Factor -2*x**4 - 1282*x**3 - 1256*x**2 + 15360*x.
-2*x*(x - 3)*(x + 4)*(x + 640)
Let 3*a**2 + 321039*a = 0. Calculate a.
-107013, 0
Let -552*z**2 + 554*z - 2 = 0. What is z?
1/276, 1
Let -x**3/4 - 1043*x**2/4 - 7227*x/2 - 12348 = 0. What is x?
-1029, -8, -6
Find m, given that -4*m**2 + 4340*m - 38736 = 0.
9, 1076
Let -4*j**5 + 99308*j**4 - 821906104*j**3 + 2268186701800*j**2 - 4533908082500*j + 2266543187500 = 0. Calculate j.
1, 8275
Factor -44*y**2 + 44592*y + 179072.
-4*(y + 4)*(11*y - 11192)
Suppose -5*t**2 + 765*t - 2250 = 0. Calculate t.
3, 150
Let 4*x**2/3 - 2876*x/3 + 1912 = 0. What is x?
2, 717
Factor -6*p**2/7 - 453112*p/7 - 302072/7.
-2*(p + 75518)*(3*p + 2)/7
Find o such that -o**3/3 - 206*o**2/3 - 403*o - 600 = 0.
-200, -3
Determine w, given that 90*w**5 - 515*w**4 - 150*w**3 + 1980*w**2 + 1900*w + 375 = 0.
-1, -5/18, 3, 5
Solve o**3/4 - 2613*o**2/2 + 10440*o - 20872 = 0.
4, 5218
Solve m**5/5 - 1943*m**4/5 + 944778*m**3/5 - 933134*m**2/5 - 4708379*m/5 - 2828523/5 = 0.
-1, 3, 971
Factor -14*s**2 - 10320*s + 113696.
-2*(s + 748)*(7*s - 76)
Solve -10*x**2/3 + 61335*x/2 - 229975/6 = 0 for x.
5/4, 9199
Solve -2*x**2/17 + 43778*x/17 + 87564/17 = 0 for x.
-2, 21891
Factor -5*q**2 - 2020*q + 6105.
-5*(q - 3)*(q + 407)
What is v in 2*v**2/5 - 18722*v/5 - 206184/5 = 0?
-11, 9372
Determine s so that -s**2 + 340*s + 21276 = 0.
-54, 394
Let -2*l**4 + 2096*l**3 + 70770*l**2 + 622144*l + 553472 = 0. Calculate l.
-16, -1, 1081
Suppose 5*l**5 + 90*l**4 + 385*l**3 = 0. What is l?
-11, -7, 0
Find w such that 5*w**5 + 3400*w**4 + 774565*w**3 + 60131210*w**2 + 231338460*w + 228294360 = 0.
-238, -219, -2
Find p, given that 5*p**4 - 230*p**3 + 2465*p**2 - 1800*p - 4500 = 0.
-1, 2, 15, 30
Factor -2*p**3/3 - 28*p**2/3 + 59*p/6 - 5/2.
-(p + 15)*(2*p - 1)**2/6
Factor t**3/5 + 1338*t**2/5 - 2683*t/5 - 804.
(t - 3)*(t + 1)*(t + 1340)/5
Determine q so that -q**3/3 - 242*q**2 = 0.
-726, 0
Suppose p**5/8 - 367*p**4/2 + 698745*p**3/8 - 48859409*p**2/4 - 1209178193*p/2 + 616716789 = 0. What is p?
-39, 1, 502
Determine h so that -3*h**4 - 107790*h**3 - 969300975*h**2 - 19353694500*h - 96714607500 = 0.
-17955, -10
Determine b so that -3*b**3/4 - 38643*b**2/4 - 124498065*b/4 - 373146489/4 = 0.
-6439, -3
Let 5*o**5/3 - 12625*o**4 - 507000*o**3 - 15230000*o**2/3 = 0. What is o?
-20, 0, 7615
Let -4*d**5 - 422*d**4 - 928*d**3 + 10346*d**2 - 16424*d + 5768 = 0. Calculate d.
-103, -7, 1/2, 2
Determine h, given that -2*h**5/13 + 38*h**4 - 2908*h**3/13 + 3844*h**2/13 + 2910*h/13 - 4338/13 = 0.
-1, 1, 3, 241
Find x such that -3*x**3 + 646952*x**2 + 215651*x = 0.
-1/3, 0, 215651
Factor 9*i**3 + 147*i**2 - 36240*i - 12096.
3*(i - 56)*(i + 72)*(3*i + 1)
Suppose 2*v**3/5 + 914*v**2/5 + 11568*v/5 + 10656/5 = 0. What is v?
-444, -12, -1
Solve -485*r**5 - 1605*r**4 + 1005*r**3 + 3845*r**2 - 1860*r - 900 = 0.
-3, -2, -30/97, 1
Factor q**2/3 + 790*q/3 + 102664/3.
(q + 164)*(q + 626)/3
Factor 2*u**2/19 + 1758*u/19 + 30996/19.
2*(u + 18)*(u + 861)/19
Find q such that -15*q**5 - 2200*q**4 + 7465*q**3 - 5250*q**2 = 0.
-150, 0, 1, 7/3
Find z, given that -5*z**3/3 - 65*z**2/3 + 5000*z/3 + 20720/3 = 0.
-37, -4, 28
Factor 3*t**3 + 339*t**2 - 64515*t + 2023725.
3*(t - 55)**2*(t + 223)
Solve -h**2/4 - 6775*h/4 - 6773/2 = 0.
-6773, -2
Let -21*v**4/2 + 8185*v**3/4 + 977*v**2/4 - 195*v/2 = 0. What is v?
-2/7, 0, 1/6, 195
Let 1196*o**4/5 - 9574*o**3/5 + 25164*o**2/5 - 21654*o/5 + 108/5 = 0. What is o?
3/598, 2, 3
Suppose -4*x**3 - 7576*x**2 - 274524*x + 579384 = 0. Calculate x.
-1857, -39, 2
Factor -3*m**3 - 53451*m**2 + 213843*m - 160389.
-3*(m - 3)*(m - 1)*(m + 17821)
Factor -2*k**2/3 + 89516*k/3 - 29838.
-2*(k - 44757)*(k - 1)/3
Determine z, given that 2*z**5/15 - 246*z**4/5 - 3742*z**3/15 + 246*z**2/5 + 748*z/3 = 0.
-5, -1, 0, 1, 374
Factor 2*c**2/7 + 2152956*c/7 + 579402442242/7.
2*(c + 538239)**2/7
Solve 2*z**3 + 317658*z**2 + 12613484448*z + 12613166792 = 0 for z.
-79414, -1
Find t, given that 125*t**3 + 3320*t**2 - 29365*t = 0.
-839/25, 0, 7
Factor -3*l**2/4 + 4158*l - 8313.
-3*(l - 5542)*(l - 2)/4
Factor 5*o**3/4 - 2775*o**2/4 - 22485*o/4 - 19705/4.
5*(o - 563)*(o + 1)*(o + 7)/4
Find w, given that -2*w**3 + 21158*w**2 + 551514*w - 572670 = 0.
-27, 1, 10605
Factor n**3/12 + 41*n**2/6 + 1681*n/12.
n*(n + 41)**2/12
Factor 3*u**2 - 3393*u + 46914.
3*(u - 1117)*(u - 14)
Suppose -3*v**2 - 1353*v - 138474 = 0. What is v?
-294, -157
What is x in 2*x**2/3 + 140*x - 5346 = 0?
-243, 33
What is f in -f**2 + 8027*f - 8026 = 0?
1, 8026
Solve 6*q**4/7 + 64230*q**3/7 + 834312*q**2/7 + 3592992*q/7 + 5132160/7 = 0.
-10692, -5, -4
Factor q**3 + 368*q**2/3 - 165*q + 124/3.
(q - 1)*(q + 124)*(3*q - 1)/3
Factor 2*f**4/9 + 160*f**3/3 - 768000*f - 46080000.
2*(f - 120)*(f + 120)**3/9
Find p such that -27*p**3 + 561*p**2 + 147*p - 441 = 0.
-1, 7/9, 21
Let -5*i**4 - 4965*i**3 - 44415*i**2 - 132975*i - 132840 = 0. What is i?
-984, -3
Determine j, given that 5*j**2 + 113815*j - 227650 = 0.
-22765, 2
Find t such that 2*t**4/9 - 406*t**3/9 - 10102*t**2/9 + 15202*t/3 - 3900 = 0.
-26, 1, 3, 225
Suppose 5*j**3 - 1040*j**2 + 66305*j - 1188150 = 0. What is j?
30, 89
What is p in -p**2/4 + 693*p/4 - 2061/2 = 0?
6, 687
Determine w so that 4*w**3/7 - 1516*w**2/7 - 13936*w/7 - 12416/7 = 0.
-8, -1, 388
Solve -2*r**3/5 + 1121944*r**2/5 + 2243894*r/5 + 1121948/5 = 0.
-1, 560974
Factor 3*k**5/7 - 16110*k**4/7.
3*k**4*(k - 5370)/7
Suppose 5*h**2 + 68930*h - 68935 = 0. What is h?
-13787, 1
Find i, given that -i**2/5 - 63*i/5 - 36 = 0.
-60, -3
Find w, given that -85*w**3 + 3970*w**2 - 11835*w - 73530 = 0.
-3, 114/17, 43
Determine x so that 4*x**5 + 1896*x**4 + 233812*x**3 + 2132544*x**2 - 2368256*x = 0.
-232, -11, 0, 1
Determine b, given that -b**4 + 2*b**3 + 252*b**2 + 1294*b + 1045 = 0.
-11, -5, -1, 19
Determine a so that -a**2 + 1309606*a - 428766968809 = 0.
654803
Let 2*a**3 - 341*a**2/2 - 2095*a + 42300 = 0. Calculate a.
-20, 45/4, 94
Factor i**3 - 3391*i**2 - 27