30*p/3 + 10278436 = 0.
-4809, 2
Factor 5*q**2/2 - 100*q - 3840.
5*(q - 64)*(q + 24)/2
Find z such that -z**2/4 + 2583*z + 5167 = 0.
-2, 10334
Let c**2/11 - 690*c + 15176/11 = 0. What is c?
2, 7588
Solve -k**4 + 32*k**3 - 181*k**2 - 282*k + 432 = 0.
-2, 1, 9, 24
Factor -8*d**3/9 - 53*d**2/9 + 70*d/9 + 75.
-(d + 5)**2*(8*d - 27)/9
Determine r, given that 2*r**4/7 + 38*r**3/7 - 40*r**2/7 = 0.
-20, 0, 1
Determine p so that p**3/7 + 604*p**2/7 + 767*p + 1190 = 0.
-595, -7, -2
Suppose 3*w**2 + 5016*w + 186276 = 0. What is w?
-1634, -38
Find u, given that -16*u**3 - 37508*u**2 + 65696*u + 18768 = 0.
-2346, -1/4, 2
Factor -2*l**3 + 358*l**2 + 1458*l + 1098.
-2*(l - 183)*(l + 1)*(l + 3)
What is t in 179432*t**3 + 358868*t**2 + 179440*t + 4 = 0?
-1, -1/44858
What is u in -3*u**5 + 882*u**4 + 16524*u**3 + 100374*u**2 + 222327*u + 137592 = 0?
-7, -3, -1, 312
Let 4*d**3 + 10000*d**2 + 29972*d + 19976 = 0. Calculate d.
-2497, -2, -1
Determine c so that -76*c**3/9 - 1784*c**2/9 - 13952*c/9 - 36352/9 = 0.
-8, -142/19
Suppose 4*n**3 + 436*n**2 + 7516*n + 35244 = 0. Calculate n.
-89, -11, -9
Let 3*g**2/4 - 25065*g/2 + 209418075/4 = 0. What is g?
8355
Let -4*k**3/7 + 40*k**2/7 + 496*k - 7072/7 = 0. Calculate k.
-26, 2, 34
Suppose 6*r**2/7 - 232*r/7 - 2024/7 = 0. What is r?
-22/3, 46
Solve -5*i**3 + 675*i**2 - 16990*i + 16320 = 0.
1, 32, 102
Factor 2*a**3/9 - 3188*a**2/3 + 3749960*a/3 + 441415600/9.
2*(a - 2410)**2*(a + 38)/9
Determine u so that 2*u**3/3 + 18328*u**2/3 + 14093720*u + 444764928 = 0.
-4566, -32
Factor -a**2 + 19971*a - 139748.
-(a - 19964)*(a - 7)
Find t such that 2*t**4/3 + 388*t**3/3 + 8288*t**2 + 172500*t - 180918 = 0.
-69, -57, 1
Let 4*g**5 + 344*g**4 + 1336*g**3 + 1984*g**2 + 1316*g + 328 = 0. What is g?
-82, -1
Solve -w**3 - 299*w**2 + 1870*w + 12200 = 0.
-305, -4, 10
Determine o, given that -5*o**3 - 1225*o**2 - 30000*o + 6187500 = 0.
-150, 55
Factor 2*g**2/7 + 344*g - 2410/7.
2*(g - 1)*(g + 1205)/7
Let 2*h**2 + 174*h + 172 = 0. Calculate h.
-86, -1
Solve -2*b**2/7 + 238*b - 49560 = 0.
413, 420
Suppose 5*d**5 + 6600*d**4 + 72220*d**3 + 294930*d**2 + 530415*d + 353430 = 0. Calculate d.
-1309, -3, -2
Solve 3*h**5/8 + 503*h**4 + 1327653*h**3/8 - 1829763*h**2 - 628342*h = 0 for h.
-676, -1/3, 0, 11
Find k, given that -30*k**4 - 21914*k**3 + 144354*k**2 - 72214*k + 8844 = 0.
-737, 1/5, 1/3, 6
Let -3*l**5 + 9*l**4 + 39*l**3 - 45*l**2 = 0. What is l?
-3, 0, 1, 5
Let -h**2/4 + 14*h + 737/4 = 0. What is h?
-11, 67
Factor -5*h**3/3 - 2350*h**2/3 + 14255*h/3 - 11900/3.
-5*(h - 5)*(h - 1)*(h + 476)/3
Find v, given that 68*v**5 - 22028*v**4 - 180476*v**3 - 483412*v**2 - 434184*v - 23904 = 0.
-3, -2, -1/17, 332
Determine u, given that -4*u**5 - 132*u**4 - 796*u**3 - 1836*u**2 - 1792*u - 624 = 0.
-26, -3, -2, -1
Factor p**2 - 158*p + 465.
(p - 155)*(p - 3)
Factor -2*r**3/9 + 260*r**2/9 + 2000*r/3.
-2*r*(r - 150)*(r + 20)/9
Let -2*s**2/9 - 48082*s/9 + 48088/3 = 0. What is s?
-24044, 3
Solve 3*a**2 - 4341*a + 213588 = 0 for a.
51, 1396
Factor -2*r**2/3 - 2530*r/3 - 9196.
-2*(r + 11)*(r + 1254)/3
Let -5*n**4/2 + 58740*n**3 - 460169100*n**2 + 1202880618000*n - 7200730305000 = 0. What is n?
6, 7830
Factor a**3/2 + 32365*a**2/2 - a/2 - 32365/2.
(a - 1)*(a + 1)*(a + 32365)/2
Factor -4*z**2 - 644*z - 24072.
-4*(z + 59)*(z + 102)
Solve -24*w**5 + 6861*w**4 + 50082*w**3 + 6153*w**2 = 0.
-7, -1/8, 0, 293
Determine d, given that -4*d**3 + 3412080*d**2 = 0.
0, 853020
Determine j so that -4266*j**4 - 513762*j**3 - 220384*j**2 + 78712*j - 960 = 0.
-120, -2/3, 1/79, 2/9
Let o**5 + 2330*o**4 + 87613*o**3 + 1187928*o**2 + 6799572*o + 13944528 = 0. Calculate o.
-2292, -13, -6
Factor 2*c**3 + 520*c**2 - 6618*c - 24480.
2*(c - 15)*(c + 3)*(c + 272)
What is k in -5*k**4 - 11940*k**3 + 23905*k**2 + 11940*k - 23900 = 0?
-2390, -1, 1, 2
Solve -z**4/5 - 97*z**3 - 57078*z**2/5 + 84132*z - 363096/5 = 0.
-246, 1, 6
Factor 4*p**3 + 27740*p**2 + 48080352*p - 48108096.
4*(p - 1)*(p + 3468)**2
Find f such that 3*f**2 + 3213*f + 771012 = 0.
-708, -363
Solve 32*n**4/19 - 6928*n**3/19 - 3486*n**2/19 + 160*n - 434/19 = 0 for n.
-1, 1/4, 217
Let -3*v**2 + 14391*v - 100590 = 0. What is v?
7, 4790
Factor -2*k**2 - 8598*k + 17204.
-2*(k - 2)*(k + 4301)
Determine g so that 4*g**2/7 - 59168*g/7 - 1066320/7 = 0.
-18, 14810
Let 1211*h**2 - 1209*h - 2 = 0. Calculate h.
-2/1211, 1
Factor -2*h**2 - 315754*h.
-2*h*(h + 157877)
Factor -15*n**3 - 3429*n**2 + 4830*n.
-3*n*(n + 230)*(5*n - 7)
Suppose -4*y**5/7 - 672*y**4 - 7980*y**3 + 14104*y**2/7 + 158208*y/7 - 111744/7 = 0. What is y?
-1164, -12, -2, 1
What is c in -17*c**5/5 + 36*c**4/5 + 1424*c**3/5 + 3062*c**2/5 - 1011*c + 110 = 0?
-5, 2/17, 1, 11
What is r in -2*r**2 + 77466*r + 77468 = 0?
-1, 38734
Factor -m**3/5 + 5092*m**2/5 - 6105*m + 45774/5.
-(m - 5086)*(m - 3)**2/5
Solve -2*p**2 + 268996*p - 9044856002 = 0 for p.
67249
Let -c**2/3 + 178*c/3 + 1176 = 0. Calculate c.
-18, 196
Factor -j**2/3 + 12176*j/3 - 81040.
-(j - 12156)*(j - 20)/3
Find q, given that -5569600*q**3 + 28320*q**2 - 36*q = 0.
0, 3/1180
Solve 5*t**5 + 690*t**4 - 15475*t**3 - 88860*t**2 - 148060*t - 75360 = 0 for t.
-157, -2, -1, 24
Factor -3*x**4/7 - 1371*x**3/7 - 71208*x**2/7 + 21710160*x/7.
-3*x*(x - 95)*(x + 276)**2/7
Determine v, given that 2*v**3/9 + 110*v**2/9 - 716*v/9 + 976/9 = 0.
-61, 2, 4
Determine z so that 2*z**3/5 - 2318*z**2/5 + 19688*z - 71360 = 0.
4, 40, 1115
Let 2*t**3/3 - 186*t**2 + 12096*t + 124416 = 0. Calculate t.
-9, 144
Determine x, given that 2*x**2/7 - 606264*x/7 + 45944504712/7 = 0.
151566
Determine c so that -3*c**3/5 - 2367*c**2/5 + 58104*c/5 - 351216/5 = 0.
-813, 12
Factor 4*z**3 + 192*z**2 - 19116*z + 297432.
4*(z - 27)**2*(z + 102)
What is d in 12*d**4 - 674*d**3 - 2004*d**2 - 138*d + 1180 = 0?
-5/2, -1, 2/3, 59
Solve -3*g**5/5 + 4077*g**4/5 + 28653*g**3/5 + 45099*g**2/5 - 5730*g - 49176/5 = 0.
-4, -3, -1, 1, 1366
Let -4*r**2 + 240*r + 244 = 0. What is r?
-1, 61
Find q, given that 2*q**5 + 36*q**4 + 152*q**3 + 84*q**2 - 154*q - 120 = 0.
-12, -5, -1, 1
Determine d so that -4*d**5 + 73776*d**4 + 8*d**3 - 147552*d**2 - 4*d + 73776 = 0.
-1, 1, 18444
Let -2*o**4/7 - 218*o**3/7 - 1732*o**2/7 + 6752*o/7 - 4800/7 = 0. What is o?
-100, -12, 1, 2
Factor 4*t**4 + 540*t**3 - 22896*t**2 + 288576*t - 1181952.
4*(t - 12)**3*(t + 171)
Let 2*g**2 + 6414*g - 6416 = 0. Calculate g.
-3208, 1
Determine v, given that -2*v**4/9 - 100174*v**3/3 = 0.
-150261, 0
Factor 5*l**3 - 223825*l**2 + 447635*l - 223815.
5*(l - 44763)*(l - 1)**2
Suppose h**2 - 7098*h + 7097 = 0. What is h?
1, 7097
Determine g, given that g**2/5 + 149*g/5 + 1128/5 = 0.
-141, -8
Solve 15*p**3 + 864*p**2 + 10452*p - 4320 = 0.
-40, -18, 2/5
Solve -5*b**5 + 915*b**4 - 39470*b**3 - 222660*b**2 + 65800*b + 1060320 = 0.
-4, -3, 2, 94
Solve -515*o**4/2 - 1393*o**3 - 3117*o**2/2 - 427*o - 4 = 0 for o.
-4, -1, -2/5, -1/103
Factor -z**3/2 + 520*z**2 + 5231*z/2 - 3135.
-(z - 1045)*(z - 1)*(z + 6)/2
Find f such that 4*f**3 - 1504*f**2 - 57540*f = 0.
-35, 0, 411
Solve -2*t**2/5 + 581*t/5 - 5339/5 = 0 for t.
19/2, 281
Factor -2*g**2 + 1608*g - 323208.
-2*(g - 402)**2
Factor -5*k**2/2 - 1439*k/2 + 1595.
-(k + 290)*(5*k - 11)/2
Find m, given that m**3/7 + 106*m**2 - 64160*m/7 + 1315200/7 = 0.
-822, 40
Solve 2*d**3 - 5710*d**2/9 - 4456*d/9 + 424/3 = 0 for d.
-1, 2/9, 318
Solve 5*d**2/6 + 7355*d/6 - 3680/3 = 0 for d.
-1472, 1
Determine n, given that 2*n**2/9 - 2738*n + 320008/9 = 0.
13, 12308
Factor 5*t**2 + 98135*t.
5*t*(t + 19627)
Factor -6*v**2/5 + 271464*v/5 + 2172096/5.
-6*(v - 45252)*(v + 8)/5
Factor -41830*t**3 + 167308*t**2 - 167272*t - 48.
-2*(t - 2)**2*(20915*t + 6)
Factor -i**3/12 + 443*i**2/6 - 6019*i/3 + 3718.
-(i - 858)*(i - 26)*(i - 2)/12
Factor 2*x**2/11 + 336844*x + 156012835462.
2*(x + 926321)**2/11
Determine c, given that -3*c**4/8 + 9*c**3/4 + 393*c**2/8 - 207*c/2 + 105/2 = 0.
-10, 1, 14
Factor 5*w**3 - 1810*w**2 - 22385*w - 20570.
5*(w - 374)*(w + 1)*(w + 11)
Suppose j**2/4 + 421*j/4 + 7567 = 0. Calculate j.
-329, -92
Factor -c**3/2 - 22*c**2 + 262*c - 432.
-(c - 8)*(c - 2)*(c + 54)/2
Factor w**3/5 + 163*w**2/5 + 1463*w + 53361/5.
(w + 9)*(w + 77)**2/5
Solve -2*g**5 - 100*g**4 - 1448*g**3 - 2700*g**2 + 52650*g + 54000 = 0.
-24, -15, -1, 5
Suppose -19*r**4 - 2821*r**3 - 4115*r**2 + 157*r + 1470 = 0. 