32560*q**2 = 0.
-4070, -4, 0
Suppose -8*c**2/7 + 2407928*c/7 - 181191164162/7 = 0. Calculate c.
300991/2
Solve -2*z**2/3 - 2686412*z/3 - 902101179218/3 = 0 for z.
-671603
Let 2*z**3 + 216*z**2 + 5778*z + 15444 = 0. Calculate z.
-66, -39, -3
Factor f**4 + 814*f**3 - 8327*f**2 - 71832*f - 118656.
(f - 16)*(f + 3)**2*(f + 824)
Find y such that -4*y**5 + 573*y**4 + 9281*y**3 + 6492*y**2 - 2212*y = 0.
-14, -1, 0, 1/4, 158
Factor 2*v**2 - 140*v - 288.
2*(v - 72)*(v + 2)
Determine u so that u**2 - 23606*u + 139310809 = 0.
11803
Factor -20*w**3 - 55*w**2 + 1415*w - 350.
-5*(w - 7)*(w + 10)*(4*w - 1)
Factor -93*f**2 + 1191*f + 234.
-3*(f - 13)*(31*f + 6)
Factor j**2/8 - 36083*j/8 - 36091.
(j - 36091)*(j + 8)/8
Find t, given that 5*t**4 + 34485*t**3 - 69030*t**2 - 275960*t = 0.
-6899, -2, 0, 4
Let -2*h**4/5 + 476*h**3/5 - 3262*h**2/5 + 6484*h/5 - 3696/5 = 0. What is h?
1, 2, 4, 231
Determine k so that -4*k**5 + 4448*k**4 - 1245392*k**3 + 4910656*k**2 = 0.
0, 4, 554
Suppose 4*y**5/15 + 1102*y**4/15 - 12128*y**3/5 + 96666*y**2/5 - 2016*y - 55080 = 0. Calculate y.
-306, -3/2, 2, 15
Factor z**2 + 3791*z - 57090.
(z - 15)*(z + 3806)
Determine r, given that -3*r**5/8 - 81*r**4/2 + 867*r**3/2 - 4215*r**2/4 + 7767*r/8 - 1239/4 = 0.
-118, 1, 7
Let -3*a**2 + 6633*a - 13254 = 0. Calculate a.
2, 2209
Factor -g**2/3 + 1861*g + 123310/3.
-(g - 5605)*(g + 22)/3
Factor r**2/8 - 8861*r/4 + 78517321/8.
(r - 8861)**2/8
Find x such that 4*x**5 + 1940*x**4 + 1920*x**3 - 7760*x**2 - 7744*x = 0.
-484, -2, -1, 0, 2
Factor d**5/4 - 9*d**4/4 + 13*d**3/2 - 9*d**2/2 - 27*d/4 + 27/4.
(d - 3)**3*(d - 1)*(d + 1)/4
Factor -3*u**4 + 105642*u**3 + 316944*u**2 + 316950*u + 105651.
-3*(u - 35217)*(u + 1)**3
Factor -639742827*t**3 - 1279748508*t**2 - 525735*t - 54.
-3*(t + 2)*(14603*t + 3)**2
Solve 39*k**4 - 2346*k**3 - 2019*k**2 + 366*k = 0.
-1, 0, 2/13, 61
Factor -3*b**2 - 275022*b - 6303091707.
-3*(b + 45837)**2
Suppose 3*w**5/7 + 774*w**4/7 - 15384*w**3/7 - 133578*w**2/7 - 43389*w - 186300/7 = 0. What is w?
-276, -3, -1, 25
Find h, given that h**2 + 7882*h + 15531481 = 0.
-3941
Factor 2*h**2 + 82*h - 564.
2*(h - 6)*(h + 47)
Solve 3*z**2/4 + 21213*z/4 = 0.
-7071, 0
Let 5*d**4 + 104300*d**3 + 543715855*d**2 - 2176219520*d + 1632399360 = 0. Calculate d.
-10432, 1, 3
Factor 3*y**4/4 - 39141*y**3 + 680740200*y**2 - 3942843480000*y - 47412216000000.
3*(y - 17400)**3*(y + 12)/4
Factor -4*r**2 + 1276048*r - 101768656144.
-4*(r - 159506)**2
Find t such that 3*t**5 - 30*t**4 - 447*t**3 + 1530*t**2 = 0.
-10, 0, 3, 17
Find f, given that -4*f**3 + 316*f**2/3 - 432*f - 336 = 0.
-2/3, 6, 21
Solve 2*k**3/13 - 38180*k**2/13 - 76366*k/13 - 38184/13 = 0.
-1, 19092
Let -5*x**4 + 185*x**3 - 1260*x**2 + 2980*x - 2320 = 0. What is x?
2, 4, 29
Solve 6*i**3/7 - 380*i**2/7 - 3762*i/7 + 1296/7 = 0.
-9, 1/3, 72
Find m such that m**2 - 617*m + 4270 = 0.
7, 610
Let 3*g**2 - 2079*g + 8268 = 0. What is g?
4, 689
Factor 2*z**5/7 + 10*z**4/7 - 16*z**3/7 - 96*z**2/7.
2*z**2*(z - 3)*(z + 4)**2/7
Suppose 4*b**5/5 - 146*b**4/5 + 14*b**3 + 4248*b**2 + 95256*b/5 + 42336/5 = 0. What is b?
-6, -1/2, 21, 28
Suppose 2125*s**4/2 + 395725*s**3/2 + 18467485*s**2/2 + 4110135*s/2 + 43245 = 0. What is s?
-93, -1/5, -2/85
Let -u**3/4 - 69*u**2/4 + 135*u + 152 = 0. Calculate u.
-76, -1, 8
Factor 2*v**2/9 - 1450*v/9 - 43732/9.
2*(v - 754)*(v + 29)/9
Factor -2*h**2/11 + 12266*h/11 - 24524/11.
-2*(h - 6131)*(h - 2)/11
Suppose -27*c**3/5 - 939*c**2/5 - 5082*c/5 + 1176/5 = 0. Calculate c.
-28, -7, 2/9
Find u such that 2*u**5 - 40*u**4 + 130*u**3 + 340*u**2 - 552*u - 720 = 0.
-2, -1, 2, 6, 15
Factor 2*v**2/5 + 5350968*v/5 + 3579107317128/5.
2*(v + 1337742)**2/5
Find g, given that 4*g**3 + 87692*g**2 - 350816*g + 350832 = 0.
-21927, 2
Factor -a**2/3 + 221246*a/3 - 12237448129/3.
-(a - 110623)**2/3
Determine h, given that -11*h**2/5 + 55746*h/5 + 10136/5 = 0.
-2/11, 5068
Find z, given that 2*z**2/3 - 1670*z/3 + 3316 = 0.
6, 829
What is r in 3*r**3/7 + 44946*r**2/7 - 2252925*r/7 + 28185000/7 = 0?
-15032, 25
Let 3*l**5/7 - 96*l**4/7 + 498*l**3/7 + 696*l**2/7 - 501*l/7 - 600/7 = 0. What is l?
-1, 1, 8, 25
Factor -2*n**3/15 - 12766*n**2/15 - 20466752*n/15 - 20275712.
-2*(n + 15)*(n + 3184)**2/15
Factor f**2/4 + 14229*f/2 + 199010.
(f + 28)*(f + 28430)/4
Determine q so that -45*q**4 - 66741*q**3 - 208788*q**2 - 159852*q - 17760 = 0.
-1480, -2, -1, -2/15
Solve -3*y**4 - 132*y**3 + 8841*y**2 - 100254*y + 321048 = 0 for y.
-84, 7, 26
Factor 2*k**3/11 - 84362*k**2 + 107643360048*k/11 + 107644288032/11.
2*(k - 231996)**2*(k + 1)/11
Determine y so that 4*y**5 + 19740*y**4 + 59192*y**3 + 39456*y**2 = 0.
-4932, -2, -1, 0
Factor 10609*n**2/7 - 408292*n/7 + 3928324/7.
(103*n - 1982)**2/7
Factor 3*o**3 + 81*o**2 - 2520*o - 68208.
3*(o - 29)*(o + 28)**2
Solve 9*x**4/8 + 233*x**3/4 + 721*x**2/2 - 1073*x + 220 = 0 for x.
-44, -10, 2/9, 2
Solve h**3/5 - h**2/5 - 289*h - 1443/5 = 0 for h.
-37, -1, 39
Determine o so that 4*o**5 + 1364*o**4 - 72204*o**3 + 962044*o**2 - 1646248*o = 0.
-389, 0, 2, 23
Determine k, given that -k**4 + 2188*k**3 - 1205531*k**2 + 9485180*k + 10692900 = 0.
-1, 9, 1090
Determine n so that 3*n**3/2 + 459*n**2 + 6225*n/2 - 8073 = 0.
-299, -9, 2
Solve 4*y**3/3 + 1868*y**2/3 + 7424*y/3 + 7408/3 = 0 for y.
-463, -2
Factor 2*i**3/5 + 2892*i**2/5 + 211386*i + 8271376/5.
2*(i + 8)*(i + 719)**2/5
Determine y so that 5*y**2 - 2595*y - 37310 = 0.
-14, 533
Solve 2*l**4/9 - 194*l**3/3 - 37342*l**2/3 - 4242818*l/9 + 483936 = 0.
-71, 1, 432
Determine i so that -2*i**4/15 - 34124*i**3/15 - 102358*i**2/15 - 68236*i/15 = 0.
-17059, -2, -1, 0
Suppose g**4 + 7160*g**3 - 28663*g**2 - 50138*g + 71640 = 0. What is g?
-7164, -2, 1, 5
Factor 2*k**3/5 - 1534*k**2 + 7287984*k/5 + 126122184/5.
2*(k - 1926)**2*(k + 17)/5
Suppose -3*y**2 + 906*y + 79449 = 0. What is y?
-71, 373
Suppose -4*t**2 + 3844*t + 90528 = 0. What is t?
-23, 984
Let -4*i**4 - 2836*i**3 - 30808*i**2 - 67008*i = 0. Calculate i.
-698, -8, -3, 0
Factor -8*z**2 + 373*z + 4530.
-(z + 10)*(8*z - 453)
Let 5*d**5 - 75*d**4 - 9660*d**3 + 193280*d**2 + 921600*d = 0. What is d?
-45, -4, 0, 32
Suppose -16*n**5/13 + 20*n**4 - 1142*n**3/13 + 58*n**2 + 1128*n/13 + 216/13 = 0. What is n?
-1/2, -1/4, 2, 6, 9
Determine k, given that 2*k**3/5 - 220*k**2 - 38546*k/5 + 39644/5 = 0.
-34, 1, 583
Determine t so that -4*t**2 - 18632*t + 789600 = 0.
-4700, 42
Factor -2*m**3 + 420*m**2 + 255744*m + 22166848.
-2*(m - 506)*(m + 148)**2
Factor -3*o**4 + 1284*o**3 + 3870*o**2 + 3876*o + 1293.
-3*(o - 431)*(o + 1)**3
Determine w, given that 15*w**5/8 - 22341*w**4/8 + 8919*w**3/8 + 22341*w**2/8 - 4467*w/4 = 0.
-1, 0, 2/5, 1, 1489
What is v in v**2 - 1158*v - 9328 = 0?
-8, 1166
Find h such that 22*h**3/23 + 478*h**2/23 - 2528*h/23 - 6792/23 = 0.
-283/11, -2, 6
Let 3*q**2/4 + 2969529*q/2 + 2939367493947/4 = 0. Calculate q.
-989843
Factor 5*i**2 + 224900*i - 224905.
5*(i - 1)*(i + 44981)
Let -23*t**5/4 - 159*t**4/4 + 53*t**3/2 + 159*t**2 - 14*t = 0. What is t?
-7, -2, 0, 2/23, 2
Factor 4*q**3 + 579*q**2 - 2520*q + 1937.
(q - 1)*(q + 149)*(4*q - 13)
Factor a**5/7 + 25*a**4/7 - 144*a**3/7 + 184*a**2/7 + 16*a - 240/7.
(a - 2)**3*(a + 1)*(a + 30)/7
Factor 18*j**3 + 8*j**2 - 338*j - 328.
2*(j + 1)*(j + 4)*(9*j - 41)
Determine d so that 5*d**5 - 80*d**4 + 315*d**3 - 460*d**2 + 220*d = 0.
0, 1, 2, 11
Find p, given that 730*p**2 + 3675*p + 125 = 0.
-5, -5/146
Let 3*x**4 - 5*x**3 - 676*x**2 - 220*x + 448 = 0. What is x?
-14, -1, 2/3, 16
Factor -k**3 - 4115*k**2 + 8234*k.
-k*(k - 2)*(k + 4117)
Factor j**5 - 7*j**4 + 7*j**3 + 19*j**2 - 16*j - 20.
(j - 5)*(j - 2)**2*(j + 1)**2
Suppose q**5 - 68*q**4 - 362*q**3 - 228*q**2 + 657*q = 0. Calculate q.
-3, 0, 1, 73
Find r, given that -2*r**2 + 14478*r + 28964 = 0.
-2, 7241
What is q in q**4 - 1496*q**3/3 + 67889*q**2/3 + 92684*q/3 + 23296/3 = 0?
-1, -1/3, 52, 448
Determine k so that 28*k**5 + 1628*k**4 + 22496*k**3 + 40096*k**2 - 13632*k - 32832 = 0.
-38, -18, -2, -1, 6/7
Suppose -n**4/4 - 192*n**3 - 4563*n**2/4 + 1718*n + 2667 = 0. What is n?
-762, -7, -1, 2
Solve f**3/3 + 49571*f**2/3 + 614395360*f/3 + 614246656 = 0 for f.
-24784, -3
Solve -5*r**3 + 55*r**2 + 360*r - 900 = 0.
-6, 2, 15
Find r, given that -4*r**5/3 + 44*r**4/3 + 116*r**3/3 - 124*r**2/3 - 400*r/3 - 208/3 = 0.
-2, -1, 2, 13
What is 