
-28, -2, 1, 3, 5
Factor 22*b**3 + 1952*b**2 - 3992*b.
2*b*(b - 2)*(11*b + 998)
Factor -3*q**2 + 303*q + 401940.
-3*(q - 420)*(q + 319)
Factor c**2/2 - 3109*c + 68277/2.
(c - 6207)*(c - 11)/2
Find i such that -i**3/4 - 449*i**2/4 - 667*i/2 + 446 = 0.
-446, -4, 1
Solve 3*n**2 + 13338*n + 13335 = 0 for n.
-4445, -1
Factor 4*y**2/5 + 3028*y/5 - 3032/5.
4*(y - 1)*(y + 758)/5
Factor z**5/4 - 47*z**4/2 + 1617*z**3/2 - 11575*z**2 + 173125*z/4 + 515625/2.
(z - 25)**3*(z - 22)*(z + 3)/4
Factor 4*j**5 + 140*j**4 + 1292*j**3 + 1156*j**2.
4*j**2*(j + 1)*(j + 17)**2
Let -3*h**3 - 3087*h**2 - 1045152*h - 116721408 = 0. Calculate h.
-421, -304
Factor 13*h**2/4 + 5*h - 3.
(h + 2)*(13*h - 6)/4
Suppose 4*u**4 + 184*u**3 + 2496*u**2 + 9216*u = 0. Calculate u.
-24, -16, -6, 0
Find t, given that -2*t**2 - 10904*t + 528000 = 0.
-5500, 48
Factor 5*b**2 + 50995*b + 101970.
5*(b + 2)*(b + 10197)
Find a such that -4*a**2/7 + 2384*a - 33360/7 = 0.
2, 4170
Factor 19860245*x**3 - 139001785*x**2 - 139505*x - 35.
5*(x - 7)*(1993*x + 1)**2
Let -4*k**4/7 - 7720*k**3/7 + 502492*k**2/7 + 510208*k/7 = 0. What is k?
-1993, -1, 0, 64
Factor 4*j**2 - 1719672*j.
4*j*(j - 429918)
Let -8*l**4/7 + 2860*l**3/7 - 215696*l**2/7 - 108564*l/7 = 0. Calculate l.
-1/2, 0, 109, 249
Determine w so that -2*w**2 - 3460*w = 0.
-1730, 0
Factor 3*t**4 - 95334*t**3 + 757762155*t**2 - 6055997400*t.
3*t*(t - 15885)**2*(t - 8)
Determine h so that -h**3/4 - 373*h**2/4 - 3266*h - 3173 = 0.
-334, -38, -1
Factor 3*n**3 + 2868*n**2 - 943833*n - 1057626330.
3*(n - 590)*(n + 773)**2
Factor 3*s**2 + 2097*s + 257580.
3*(s + 159)*(s + 540)
Determine m so that 3*m**2/5 + 55062*m/5 + 252651987/5 = 0.
-9177
Let o**2 - 15092*o + 75435 = 0. What is o?
5, 15087
Factor 8*q**3/13 - 264*q**2/13 + 738*q/13 + 26896/13.
2*(q + 8)*(2*q - 41)**2/13
Let -2*g**2/7 - 3840*g/7 + 11538/7 = 0. What is g?
-1923, 3
Factor 5*y**3 - 2095*y**2 + 150495*y + 15446475.
5*(y - 237)**2*(y + 55)
Suppose n**4 - 103*n**3 + 2307*n**2 + 4927*n + 2516 = 0. What is n?
-1, 37, 68
Factor 2*p**3/3 + 5328*p**2 + 31954*p/3 - 15980.
2*(p - 1)*(p + 3)*(p + 7990)/3
Suppose v**2/3 - 1010*v/3 - 337 = 0. What is v?
-1, 1011
Find t, given that 3*t**5/7 - 1740*t**4/7 + 8634*t**3/7 - 5160*t**2/7 - 8637*t/7 + 6900/7 = 0.
-1, 1, 4, 575
Factor -2*t**3/19 + 31912*t**2/19 - 63816*t/19.
-2*t*(t - 15954)*(t - 2)/19
Solve -32*f**3 + 1584*f**2 - 26130*f + 143650 = 0.
65/4, 17
What is y in 18*y**5/5 + 1274*y**4/5 + 22378*y**3/5 - 6314*y**2/5 - 22396*y/5 + 1008 = 0?
-36, -35, -1, 2/9, 1
Factor -5*r**3 - 1210*r**2 + 12600*r.
-5*r*(r - 10)*(r + 252)
Factor z**2/5 + 407*z/5 - 12648.
(z - 120)*(z + 527)/5
Determine w so that -2*w**2 - 46*w + 2856 = 0.
-51, 28
Solve -2*k**3/13 - 1056*k**2/13 - 5634*k + 19201924/13 = 0.
-313, 98
Find n, given that -3*n**5/7 + 12*n**4 + 291*n**3 + 3426*n**2/7 - 792*n = 0.
-14, -3, 0, 1, 44
Solve 4*j**3 - 120*j**2 + 428*j - 312 = 0.
1, 3, 26
Let 2*k**4 + 414*k**3 + 388*k**2 - 4944*k = 0. Calculate k.
-206, -4, 0, 3
Suppose -2*n**4 - 8*n**3/9 + 2*n**2 + 8*n/9 = 0. Calculate n.
-1, -4/9, 0, 1
Factor -3*d**5 - 1914*d**4 + 1917*d**3.
-3*d**3*(d - 1)*(d + 639)
Let c**4/4 - 319*c**3/2 - 2569*c**2/4 + 319*c/2 + 642 = 0. What is c?
-4, -1, 1, 642
Factor m**3 - 61*m + 180.
(m - 5)*(m - 4)*(m + 9)
Factor -2*w**3/15 - 64*w**2/5 - 922*w/15 - 364/5.
-2*(w + 2)*(w + 3)*(w + 91)/15
Find j, given that j**3 + 20685*j**2/2 + 25851*j + 10340 = 0.
-10340, -2, -1/2
Factor -5*b**2 + 9630*b + 19280.
-5*(b - 1928)*(b + 2)
Factor 3*g**2 + 375666*g + 11760411963.
3*(g + 62611)**2
Let -3*f**2 + 537*f - 15444 = 0. What is f?
36, 143
What is k in 2*k**2/3 + 87208*k + 2851963224 = 0?
-65406
Factor 3*t**4/5 + 3768*t**3 + 29691624*t**2/5 + 70853472*t + 1060771248/5.
3*(t + 6)**2*(t + 3134)**2/5
Determine u so that u**3/4 + 134*u**2 - 543*u/4 - 1611/2 = 0.
-537, -2, 3
Factor 4*a**4 - 116*a**3 + 312*a**2 + 8208*a + 7776.
4*(a - 18)**2*(a + 1)*(a + 6)
Find q, given that -2*q**2 + 18314*q + 18316 = 0.
-1, 9158
Determine j so that 2*j**3 + 40554*j**2 + 205314510*j - 2675946650 = 0.
-10145, 13
Let -j**4 + 16187*j**3/3 + 70184*j**2/3 + 86396*j/3 + 7200 = 0. Calculate j.
-2, -1/3, 5400
What is u in -33*u**4/5 - 276*u**3/5 + 1473*u**2/5 + 276*u/5 - 288 = 0?
-12, -1, 1, 40/11
Suppose 7*g**3/5 - 263*g**2/5 + 477*g + 1071/5 = 0. What is g?
-3/7, 17, 21
Find z such that 5*z**2/3 + 70910*z/3 + 251411405/3 = 0.
-7091
Factor -3*u**2 - 166185*u - 166182.
-3*(u + 1)*(u + 55394)
Suppose 2*o**2/3 - 370*o/3 + 368/3 = 0. What is o?
1, 184
Let 3*v**2 - 58092*v = 0. What is v?
0, 19364
Determine b, given that -5*b**2/4 + 5*b + 7215 = 0.
-74, 78
Let -584896107*n**2/5 - 2262006*n/5 - 2187/5 = 0. What is n?
-27/13963
Factor 2*m**3 - 132*m**2 + 1728*m.
2*m*(m - 48)*(m - 18)
Factor -10*r**3 - 25*r**2 + 205*r + 220.
-5*(r - 4)*(r + 1)*(2*r + 11)
Determine f, given that 5*f**2/2 - 7051*f/2 - 2822 = 0.
-4/5, 1411
Factor 399*q**3 - 801*q**2 + 6*q.
3*q*(q - 2)*(133*q - 1)
Factor 6*t**3 - 15058*t**2 + 9399776*t + 60137432.
2*(t - 1258)**2*(3*t + 19)
Determine f, given that f**4/9 + 89*f**3/9 + 88*f**2/9 = 0.
-88, -1, 0
Find n such that 25*n**3/2 - 556145*n**2/2 + 222452*n - 44490 = 0.
2/5, 22245
Find h, given that 4*h**3 - 704*h**2 + 10172*h + 10880 = 0.
-1, 17, 160
Factor -5*x**5 - 909705*x**4.
-5*x**4*(x + 181941)
Factor u**3/7 - 186*u**2/7 - 3489*u/7 + 1102.
(u - 203)*(u - 2)*(u + 19)/7
Factor n**4/2 + 26*n**3 + 149*n**2/2 + 49*n.
n*(n + 1)*(n + 2)*(n + 49)/2
Determine j, given that j**4 + 7491*j**3 + 13889196*j**2 - 523933744*j + 510037056 = 0.
-3764, 1, 36
Solve -s**4/6 - 103*s**3/3 + 6655*s**2/6 - 19184*s/3 - 30080 = 0.
-235, -3, 16
Solve -m**3/5 + 449*m**2/5 + 636*m + 5472/5 = 0.
-4, -3, 456
Determine p so that 3*p**3 - 13890*p**2 - 13899*p + 27786 = 0.
-2, 1, 4631
Factor -4210*q**2/3 - 16843*q/3 - 4.
-(q + 4)*(4210*q + 3)/3
What is h in 2*h**2/3 + 1952*h/3 - 31744/3 = 0?
-992, 16
Find j, given that j**5/6 + 14*j**4/3 - 215*j**3/6 - 2101*j**2/3 - 6706*j/3 - 6076/3 = 0.
-31, -7, -2, 14
Solve 48*l**4/7 + 7816*l**3/7 - 30828*l**2 + 209910*l/7 - 51986/7 = 0 for l.
-187, 1/2, 139/6
Solve 5*l**3 + 7473*l**2 + 2794527*l + 1674027 = 0 for l.
-747, -3/5
Let 2*y**4 - 5494*y**3 - 16500*y**2 - 8*y + 22000 = 0. Calculate y.
-2, 1, 2750
What is v in -3*v**3 - 2316*v**2 - 75375*v - 73062 = 0?
-738, -33, -1
Let -2*b**4 - 92*b**3 - 528*b**2 + 15228*b + 48114 = 0. What is b?
-27, -3, 11
Find c such that -2*c**2/9 + 1880*c/9 - 11666/3 = 0.
19, 921
Factor 5*d**3 - 1458425*d**2 - 5*d + 1458425.
5*(d - 291685)*(d - 1)*(d + 1)
Factor 8*m**2 - 1306910*m - 326728.
2*(m - 163364)*(4*m + 1)
Let -2*f**4/13 - 1124*f**3/13 - 18530*f**2/13 = 0. Calculate f.
-545, -17, 0
Suppose -3*q**2/4 - 1785*q/2 - 10683/4 = 0. What is q?
-1187, -3
Determine u, given that 4*u**2 + 1684*u - 1246008 = 0.
-807, 386
Solve 3*c**3 - 41595*c**2 + 144241041*c - 432348849 = 0.
3, 6931
Factor 3*t**3/7 + 146*t**2/7 - 23917*t/7 + 7956/7.
(t - 68)*(t + 117)*(3*t - 1)/7
Factor 9*k**2/8 - 21441*k/8 - 7149/4.
3*(k - 2383)*(3*k + 2)/8
Factor 2*u**2/7 + 565424*u/7 + 39963037472/7.
2*(u + 141356)**2/7
Factor -4*k**3 - 764*k**2 - 13680*k.
-4*k*(k + 20)*(k + 171)
Find f, given that -4*f**4 + 168*f**3 - 320*f**2 = 0.
0, 2, 40
Solve -4*r**5 - 36115*r**4 - 63187*r**3 + 18054*r**2 = 0 for r.
-9027, -2, 0, 1/4
Factor 3*m**3 - 435*m**2 - 54051*m - 1281357.
3*(m - 231)*(m + 43)**2
Factor 2*x**4 - 802880*x**3 + 80581853936*x**2 - 966895537920*x + 2900599905312.
2*(x - 200714)**2*(x - 6)**2
Factor 8*r**2/17 + 26030*r/17 - 6508/17.
2*(r + 3254)*(4*r - 1)/17
Factor p**3/3 - 8*p**2 - 739*p/3 - 238.
(p - 42)*(p + 1)*(p + 17)/3
Factor k**2 - 101174*k - 202352.
(k - 101176)*(k + 2)
Determine t so that 2*t**3/17 - 466*t**2/17 + 496*t + 18744/17 = 0.
-2, 22, 213
Factor -3*x**3 - 4863*x**2 - 9717*x - 4857.
-3*(x + 1)**2*(x + 1619)
Factor -10101*w**2 + 30339*w - 108.
-3*(w - 3)*(3367*w - 12)
Solve 3818*q**5 - 20377*q**4/3 + 5936*q**3/3 + 3434*q**2/3 - 146*q - 3 = 0.
-1/3, -3/166, 3/23, 1
Factor r**3/3 - 119*r**2 - 12904*r/3 + 4420.
(r - 390)*(r - 1)*(r + 34)/3
Factor -a**2/4 - 98768*a - 9755117824.
-(a + 197536)**2/4
Factor -4*z**4 + 396*z**3 - 780*z**2 + 388*z.
-4*z*(z - 97)*(z - 1)**2
What is q in -2*q**4/9 - 152*q**3/9 - 2282*q**2/9 + 1676*q/3 - 288 = 0?
-54, -24, 1
Solve -b**3/2 - 22