k**2 + 13815*k.
-k*(k - 1)*(k + 45)*(k + 307)
Find f, given that 2*f**3/7 + 6592*f**2/7 - 26392*f/7 + 26400/7 = 0.
-3300, 2
Factor -2*a**5/5 - 108*a**4 - 6264*a**3/5 - 18576*a**2/5.
-2*a**2*(a + 6)**2*(a + 258)/5
Find s, given that s**5 + 4*s**4 - 12*s**3 + 2*s**2 + 11*s - 6 = 0.
-6, -1, 1
Determine k so that -4*k**3 + 1296*k**2 - 42768*k - 11290752 = 0.
-72, 198
Let 3*f**5 + 106*f**4 + 416*f**3 + 406*f**2 + 93*f = 0. What is f?
-31, -3, -1, -1/3, 0
Factor -l**2/2 - 2401*l/2 + 60025.
-(l - 49)*(l + 2450)/2
Determine q so that -5*q**4 - 23915*q**3 - 47815*q**2 - 23905*q = 0.
-4781, -1, 0
Factor -4*v**2 + 209284*v + 1046520.
-4*(v - 52326)*(v + 5)
What is k in -2*k**2/5 - 298*k/5 = 0?
-149, 0
Determine s, given that -s**2 + 36*s + 16060 = 0.
-110, 146
What is x in 10*x**5 + 1144*x**4 + 26486*x**3 + 80672*x**2 + 73464*x + 18144 = 0?
-84, -27, -2, -1, -2/5
Factor -830*p**3 + 8318*p**2 - 20930*p + 450.
-2*(p - 5)**2*(415*p - 9)
Solve -3*y**3/2 - 399*y**2 - 1578*y - 1572 = 0.
-262, -2
Find s such that -2*s**2/9 + 28*s + 261440/9 = 0.
-304, 430
Suppose -34*g**2 + 46168*g + 5432 = 0. Calculate g.
-2/17, 1358
Find c, given that 4*c**4 - 11012*c**3 + 10984*c**2 + 66048*c = 0.
-2, 0, 3, 2752
Factor -2*c**3/9 - 22*c**2/9 + 370*c/9 + 418/3.
-2*(c - 11)*(c + 3)*(c + 19)/9
Suppose 6*h**3/5 + 8498*h**2/5 - 160648*h/5 + 20664 = 0. Calculate h.
-1435, 2/3, 18
Factor 22*p**2 - 5864*p + 3192.
2*(p - 266)*(11*p - 6)
Factor -q**3/7 - 38*q**2/7 + 565*q/7 + 182.
-(q - 13)*(q + 2)*(q + 49)/7
What is q in -5*q**3 + 1775*q**2 - 130835*q - 4924935 = 0?
-27, 191
Factor j**2 - 254*j + 10945.
(j - 199)*(j - 55)
Factor n**2/8 - 2951*n/8 + 134279/4.
(n - 2857)*(n - 94)/8
Suppose 5*v**4 + 7300*v**3 + 620215*v**2 + 13884200*v + 13271280 = 0. Calculate v.
-1371, -44, -1
What is y in y**2/6 - 2537*y/2 - 15230/3 = 0?
-4, 7615
Suppose 5*a**3 - 81870*a**2 - 491355*a - 737100 = 0. What is a?
-3, 16380
Factor y**2/7 - 10398*y/7 + 4455.
(y - 10395)*(y - 3)/7
Let -2*i**3 + 1650*i**2 + 20066*i + 18414 = 0. Calculate i.
-11, -1, 837
Find z, given that 3*z**3/5 + 15111*z**2/5 + 45306*z/5 = 0.
-5034, -3, 0
Factor -605*p**2/3 + 607*p/3 - 2/3.
-(p - 1)*(605*p - 2)/3
Factor 2*d**2/3 + 1866104*d/3 + 622034.
2*(d + 1)*(d + 933051)/3
Factor -3*o**3/4 - 39153*o**2 + 2193009*o/4 - 3838023/2.
-3*(o - 7)**2*(o + 52218)/4
Find y, given that y**2/12 - 73*y/2 - 220/3 = 0.
-2, 440
Factor 2*a**3 - 11294*a**2 - 11300*a + 22592.
2*(a - 5648)*(a - 1)*(a + 2)
Factor -4*c**2/5 - 4652*c/5 - 2784.
-4*(c + 3)*(c + 1160)/5
Suppose -2*d**3/5 + 3996*d**2/5 - 400794*d + 7952072/5 = 0. What is d?
4, 997
Factor -4*x**3 - 212*x**2 - 2984*x - 5152.
-4*(x + 2)*(x + 23)*(x + 28)
Factor -p**2/2 + 153*p - 21645/2.
-(p - 195)*(p - 111)/2
Solve -c**2/6 - 379*c/6 - 10934/3 = 0.
-308, -71
What is y in 3*y**5/4 + 3837*y**4/4 + 7641*y**3/2 - 11481*y**2/2 - 15285*y/4 + 19125/4 = 0?
-1275, -5, -1, 1
What is k in -k**4 + 113*k**3 - 547*k**2 + 759*k - 324 = 0?
1, 3, 108
Factor -2*g**4 + 540*g**3 - 36450*g**2.
-2*g**2*(g - 135)**2
Solve 2*g**4/7 - 2088*g**3 + 43836*g**2/7 - 43832*g/7 + 14610/7 = 0.
1, 7305
Solve t**4/2 - 53*t**3 - 107*t**2/2 = 0.
-1, 0, 107
Determine u so that 28*u**4 - 688*u**3 + 3408*u**2 - 1728*u = 0.
0, 4/7, 6, 18
Solve 3*q**5 - 582*q**4 + 8433*q**3 + 19806*q**2 - 8436*q - 19224 = 0.
-2, -1, 1, 18, 178
Let -i**2/2 + 7*i - 12 = 0. What is i?
2, 12
Solve -l**4/10 - 43*l**3/10 - 218*l**2/5 + 48*l = 0 for l.
-24, -20, 0, 1
What is v in 5*v**3 - 596385*v**2 - 2385620*v = 0?
-4, 0, 119281
Solve -5*p**2 - 1281205*p - 1281200 = 0 for p.
-256240, -1
Factor -2*c**2/15 - 128504*c/15.
-2*c*(c + 64252)/15
Determine z so that -2*z**5/7 - 24*z**4/7 + 140*z**3 - 5976*z**2/7 + 5022*z/7 = 0.
-31, 0, 1, 9
Suppose 95*v**5 + 2423*v**4 + 11084*v**3 + 12692*v**2 + 4256*v + 320 = 0. What is v?
-20, -4, -1, -2/5, -2/19
Solve 2*n**2/19 + 259894*n/19 + 779664/19 = 0.
-129944, -3
Factor y**3 - 42920*y**2 - 1803963*y - 18946242.
(y - 42962)*(y + 21)**2
Let 2*w**2/7 + 5174*w/7 + 112860/7 = 0. What is w?
-2565, -22
Factor -2*m**3/3 + 148*m**2/3 - 1126*m/3 - 2860/3.
-2*(m - 65)*(m - 11)*(m + 2)/3
Factor -3*z**5/7 - 7134*z**4/7 + 42876*z**3/7 - 85800*z**2/7 + 57216*z/7.
-3*z*(z - 2)**3*(z + 2384)/7
Factor -2*q**3/7 - 34246*q**2/7 - 752686*q/7 - 591206.
-2*(q + 11)**2*(q + 17101)/7
Suppose -9*c**5 + 4470*c**4 - 29514*c**3 + 55896*c**2 - 17613*c - 13230 = 0. What is c?
-1/3, 1, 3, 490
What is h in 3*h**4 + 66*h**3 + 240*h**2 - 1056*h - 4608 = 0?
-16, -6, -4, 4
Solve t**3/5 - 832*t**2/5 - 833*t/5 = 0.
-1, 0, 833
Let 3*l**3 + 7518*l**2 - 22575*l + 15054 = 0. Calculate l.
-2509, 1, 2
Factor 2*k**2/15 + 44876*k/15 + 251731922/15.
2*(k + 11219)**2/15
Solve t**2/3 + 2011058*t/3 + 1011088569841/3 = 0 for t.
-1005529
Determine l so that -l**5/6 - 944*l**4/3 + 7573*l**3/3 - 6948*l**2 + 15165*l/2 - 2844 = 0.
-1896, 1, 3
Determine s, given that s**5 - 1242*s**4/7 + 440*s**3/7 + 16062*s**2/7 + 1143*s - 6372/7 = 0.
-3, -1, 3/7, 4, 177
Suppose 560*q**4 + 2360*q**3 - 14385*q**2 + 5985*q + 2430 = 0. Calculate q.
-54/7, -1/4, 3/4, 3
Factor v**4/7 - 62*v**3 - 51879*v**2/7 + 3068008*v + 2448666256/7.
(v - 356)**2*(v + 139)**2/7
Factor k**2/9 + 951*k + 8558/9.
(k + 1)*(k + 8558)/9
Solve -p**5/4 - 211*p**4/4 - 5185*p**3/2 + 39953*p**2/2 - 176253*p/4 + 106929/4 = 0 for p.
-109, 1, 3
Factor 2*y**4/13 - 54560*y**3/13 + 371935484*y**2/13 + 2233086240*y/13 + 3350366082/13.
2*(y - 13643)**2*(y + 3)**2/13
Find q such that 5*q**3 - 85*q**2 - 8645*q - 99275 = 0.
-19, 55
Factor -3*w**3/2 - 228*w**2 - 894*w - 888.
-3*(w + 2)**2*(w + 148)/2
Find l, given that -65*l**5 + 810*l**4 - 2825*l**3 + 10000*l = 0.
-20/13, 0, 4, 5
Factor 2*q**4 + 18*q**3 - 120*q**2 - 632*q - 672.
2*(q - 7)*(q + 2)**2*(q + 12)
Factor 2*i**4/5 - 9608258*i**3/5 + 15386440168512*i**2/5 - 8213168928050731008*i/5 + 8213153541620170752/5.
2*(i - 1601376)**3*(i - 1)/5
Factor 2*j**4 + 248*j**3 + 7726*j**2 + 7480*j.
2*j*(j + 1)*(j + 55)*(j + 68)
Let -10*n**5/7 - 829476*n**4/7 + 331822*n**3/7 + 2488408*n**2/7 - 2654328*n/7 + 663584/7 = 0. Calculate n.
-82948, -2, 2/5, 1
Factor -g**2 + 14*g + 7347.
-(g - 93)*(g + 79)
Determine w, given that -2*w**3 - 6638*w**2 + 100128*w + 360072 = 0.
-3334, -3, 18
Factor -15*i**2 - 16000*i - 10660.
-5*(i + 1066)*(3*i + 2)
Suppose -2*b**4/7 + 4*b**3 + 528*b**2/7 - 1152*b/7 = 0. What is b?
-12, 0, 2, 24
Factor -5*n**3 + 3195*n**2 - 424300*n - 427500.
-5*(n - 450)*(n - 190)*(n + 1)
What is f in f**4/6 - 23*f**3/2 + 215*f**2/2 + 19393*f/6 + 8405 = 0?
-10, -3, 41
Factor 3*f**2 + 1179*f - 40800.
3*(f - 32)*(f + 425)
Let 2*i**3/21 + 782*i**2/21 + 2524*i/7 - 6096/7 = 0. Calculate i.
-381, -12, 2
Factor 5*u**3 + 1526755*u**2.
5*u**2*(u + 305351)
Suppose -1272*h**5/5 + 5271*h**4/5 + 537*h**3/5 - 5259*h**2/5 + 147*h - 12/5 = 0. What is h?
-1, 1/53, 1/8, 1, 4
Factor 2*w**3/9 - 554*w**2/9 + 35278*w/9 - 34726/9.
2*(w - 179)*(w - 97)*(w - 1)/9
Factor -5*u**4 - 8970*u**3 - 26865*u**2.
-5*u**2*(u + 3)*(u + 1791)
Let 2*f**4/13 + 298*f**3/13 - 62*f**2/13 - 706*f + 8940/13 = 0. Calculate f.
-149, -6, 1, 5
Factor r**2/4 + 25*r/4 - 93/2.
(r - 6)*(r + 31)/4
Determine p so that -4*p**4 - 2508*p**3 - 22272*p**2 - 14768*p + 39552 = 0.
-618, -8, -2, 1
Factor 2*q**4 + 9536*q**3 + 19066*q**2 + 9532*q.
2*q*(q + 1)**2*(q + 4766)
Solve 2*l**4/13 - 62*l**3/13 - 14*l**2 + 1550*l/13 + 3300/13 = 0.
-5, -2, 5, 33
Let 578*u**5/5 - 2278*u**4/5 - 12112*u**3/5 - 3512*u**2/5 + 2432*u - 3584/5 = 0. What is u?
-2, 8/17, 7
Factor 4*x**2 - 3548*x + 423160.
4*(x - 745)*(x - 142)
Determine k so that 2*k**2/5 + 174136*k/5 + 3790418312/5 = 0.
-43534
Suppose 5*a**3 - 175*a**2 + 1420*a + 1600 = 0. Calculate a.
-1, 16, 20
Suppose 48*n**5 + 13028*n**4 - 7648*n**3 - 8692*n**2 + 3264*n = 0. Calculate n.
-272, -3/4, 0, 1/3, 1
Determine x, given that x**3/3 - 137*x**2/3 + 4462*x/3 + 3160 = 0.
-2, 60, 79
Factor -2*k**2/5 + 59348*k/5 + 11870.
-2*(k - 29675)*(k + 1)/5
Factor -d**2 - 160770*d - 6461748225.
-(d + 80385)**2
Solve 2*m**2/3 + 126608*m/3 - 126610/3 = 0.
-63305, 1
Factor 220*f**3 + 2192*f**2 - 5360*f + 192.
4*(f - 2)*(f + 12)*(55*f - 2)
Factor c**4 - 2460*c**3 + 1512900*c**2.
c**2*(c - 1230)**2
Factor 3*r**3 + 4635*r**2 + 18504*r + 18492.
3*(r + 2)**2*(r + 1541)
Factor -4*i**2/5 - 2574672*i/5 - 414308494224/5.
-4*(i + 321834)**2/5