.
-2, -3/7, 1, 13895
Let -z**5/6 - 25*z**4/6 - 151*z**3/6 - 251*z**2/6 + 44*z/3 + 170/3 = 0. What is z?
-17, -5, -2, 1
Solve 2*r**4/19 + 426*r**3/19 + 21104*r**2/19 - 172920*r/19 - 193600/19 = 0 for r.
-110, -1, 8
Let -3*o**2/5 - 497994*o/5 - 20666502003/5 = 0. Calculate o.
-82999
Let 3*b**3/4 - 1776*b**2 = 0. What is b?
0, 2368
Let -4*q**4 - 228*q**3 - 1836*q**2 - 5292*q - 5184 = 0. Calculate q.
-48, -3
Let -3*n**3 + 3306*n**2 + 6624*n = 0. What is n?
-2, 0, 1104
Factor 4*w**2 + 4236*w - 68800.
4*(w - 16)*(w + 1075)
Let -5*c**3 - 42145*c**2 + 253005*c - 379575 = 0. Calculate c.
-8435, 3
Suppose -5*f**3/3 + 10442*f**2/3 - 200731*f/3 + 78622/3 = 0. Calculate f.
2/5, 19, 2069
Determine v so that -5*v**4 - 11216*v**3 - 6285443*v**2 + 5037780*v + 1258884 = 0.
-1122, -1/5, 1
Factor -2*g**2 - 1240*g + 17752.
-2*(g - 14)*(g + 634)
Factor -6*q**3 + 86*q**2 - 316*q + 96.
-2*(q - 8)*(q - 6)*(3*q - 1)
Factor 717704100*k**2 - 214320*k + 16.
4*(13395*k - 2)**2
Find t, given that 2*t**3/3 + 152*t**2/3 - 342710*t/3 + 46779700/3 = 0.
-506, 215
Let -10*a**2/3 - 28654*a/3 + 5732 = 0. What is a?
-2866, 3/5
Let -3*i**4 + 21*i**2 + 18*i = 0. What is i?
-2, -1, 0, 3
Suppose -q**3/6 + 34*q**2/3 + 139*q/6 + 35/3 = 0. What is q?
-1, 70
Factor -2*o**2/9 - 272264*o/3 - 9265960712.
-2*(o + 204198)**2/9
Suppose 5*n**5 - 215*n**4 + 2795*n**3 - 14885*n**2 + 32480*n - 24500 = 0. What is n?
2, 7, 25
Factor 21*u**3/4 - 117*u**2/4 - 195*u/2 - 36.
3*(u - 8)*(u + 2)*(7*u + 3)/4
Find s such that -s**5/4 + 39*s**4/4 - 485*s**3/4 + 2505*s**2/4 - 2817*s/2 + 1134 = 0.
2, 3, 4, 9, 21
Suppose -2*v**4/3 - 19110*v**3 + 38222*v**2 - 57334*v/3 = 0. Calculate v.
-28667, 0, 1
Suppose 2*y**5 + 248*y**4 - 3172*y**3 + 12392*y**2 - 16270*y + 6800 = 0. Calculate y.
-136, 1, 5
Factor 2*h**4 + 51648*h**3 + 444585984*h**2 + 1275665383424*h.
2*h*(h + 8608)**3
What is h in -16*h**3 + 461052*h**2 - 3321332160*h - 830361856 = 0?
-1/4, 14408
Solve 3*d**3/7 + 120*d**2/7 + 789*d/7 + 96 = 0 for d.
-32, -7, -1
Factor -2*h**2/9 + 12404*h - 173091618.
-2*(h - 27909)**2/9
What is i in -5*i**2 + 1980950*i + 1980955 = 0?
-1, 396191
Find i such that 15*i**5 + 10494*i**4 + 6255*i**3 - 25152*i**2 + 8388*i = 0.
-699, -2, 0, 2/5, 1
Factor -4*q**2 - 636*q - 1872.
-4*(q + 3)*(q + 156)
Factor -3*w**4 - 918*w**3 + 169200*w**2 + 81840000*w + 7056000000.
-3*(w - 294)*(w + 200)**3
Factor -3*l**3 + 186*l**2 + 13992*l.
-3*l*(l - 106)*(l + 44)
Find j such that -2*j**4/17 - 22530*j**3 - 1438202550*j**2 - 30602553259750*j = 0.
-63835, 0
Factor -w**2/3 + 377*w + 16030/3.
-(w - 1145)*(w + 14)/3
Solve -2*i**5/7 + 164*i**4/7 - 1290*i**3/7 - 32504*i**2/7 - 153568*i/7 - 220800/7 = 0 for i.
-4, 25, 69
Find s such that 10*s**3/9 + 58*s**2/9 + 86*s/9 + 38/9 = 0.
-19/5, -1
Solve -3*h**2/8 + 514071*h/8 + 514077/4 = 0 for h.
-2, 171359
Solve -c**3/2 - 1489*c**2/2 - 2972*c - 2970 = 0 for c.
-1485, -2
Determine x so that x**4/4 - 333*x**3/2 + 27042*x**2 + 457309*x/2 - 1022121/4 = 0.
-9, 1, 337
Factor 645*u**2 - 8740*u.
5*u*(129*u - 1748)
Let 2048*t**3/13 + 30848*t**2/13 + 1922*t/13 + 30/13 = 0. What is t?
-15, -1/32
Factor 2*j**4/3 - 1018*j**3/3 + 59658*j**2 - 11849774*j/3 + 173229880/3.
2*(j - 163)**3*(j - 20)/3
Factor -4*n**3 - 48*n**2 + 1024.
-4*(n - 4)*(n + 8)**2
What is a in -2*a**2/7 + 605140*a/7 + 605142/7 = 0?
-1, 302571
Factor -v**2/2 - 343603*v/2 - 343601.
-(v + 2)*(v + 343601)/2
Suppose -5*i**2 + 15995*i = 0. Calculate i.
0, 3199
Determine u so that -1293*u**5/4 - 1507*u**4 - 403*u**3/4 + 2802*u**2 - 875*u + 4 = 0.
-4, -2, 2/431, 1/3, 1
Factor 2*u**3/3 - 3002*u**2 + 53974*u/3 - 14990.
2*(u - 4497)*(u - 5)*(u - 1)/3
Find t, given that -161*t**3/2 + 965*t**2 - 1598*t - 20 = 0.
-2/161, 2, 10
Let 2*m**2 - 472032*m + 944056 = 0. What is m?
2, 236014
Find w, given that -15*w**3 + 999*w**2 - 7920*w - 321600 = 0.
-67/5, 40
Suppose -r**4/5 + 1117*r**3/5 + r**2/5 - 1117*r/5 = 0. What is r?
-1, 0, 1, 1117
Solve -8*l**5/3 + 3412*l**4/3 - 11854*l**3/3 + 4223*l**2/3 + 988*l - 423 = 0 for l.
-1/2, 1/2, 3, 423
Factor 2*z**2/9 + 4659004*z/9 + 2713289784002/9.
2*(z + 1164751)**2/9
Factor -2*i**3 + 3457*i**2 + 8652*i + 5193.
-(i - 1731)*(i + 1)*(2*i + 3)
Factor 3*h**3/2 - 59331*h**2 + 237306*h - 237300.
3*(h - 39550)*(h - 2)**2/2
Factor m**2 - 2448*m - 27049.
(m - 2459)*(m + 11)
Find u such that -5*u**2 - 1270*u + 33360 = 0.
-278, 24
Determine r so that r**5/5 + 166*r**4/5 + 935*r**3 + 7646*r**2 + 25024*r/5 - 68096/5 = 0.
-133, -16, -2, 1
Factor -l**4/3 - 784*l**3 - 2351*l**2/3.
-l**2*(l + 1)*(l + 2351)/3
Let 2*s**2 - 76258*s/3 - 25420/3 = 0. Calculate s.
-1/3, 12710
Determine m, given that -2*m**4/13 + 2466*m**3/13 - 874698*m**2/13 + 17961014*m/13 + 26342542068/13 = 0.
-138, 457
Suppose -36*j**4 + 611868*j**3 - 2599980097*j**2 + 866609044*j - 72216004 = 0. Calculate j.
1/6, 8498
Factor 3*u**3/2 + 159*u**2/2 + 1125*u + 1944.
3*(u + 2)*(u + 24)*(u + 27)/2
What is p in 2*p**3/3 + 1252*p**2/3 + 830*p - 1248 = 0?
-624, -3, 1
Factor l**4 + 3573*l**3 + 3113532*l**2 - 139997056*l + 509942784.
(l - 39)*(l - 4)*(l + 1808)**2
Suppose 459273387*p**5 + 918695250*p**4 + 296964*p**3 + 24*p**2 = 0. Calculate p.
-2, -2/12373, 0
Suppose -3*y**2/7 - 143904*y/7 - 1725696768/7 = 0. What is y?
-23984
Determine o so that 5*o**2/2 - 504965*o - 1009935/2 = 0.
-1, 201987
Factor -80*q**4 - 529800*q**3 - 264885*q**2 - 33110*q.
-5*q*(q + 6622)*(4*q + 1)**2
Determine r so that -r**2 + 1333*r - 40362 = 0.
31, 1302
Factor 2*x**4 + 42*x**3 - 3458*x**2 - 3498*x.
2*x*(x - 33)*(x + 1)*(x + 53)
Let 4*r**3 - 1196*r**2 + 18112*r = 0. What is r?
0, 16, 283
Suppose 4232*n**3/3 + 84641*n**2/3 + 423220*n/3 + 100/3 = 0. What is n?
-10, -1/4232
Factor -k**2/2 - 185*k/2 - 3843.
-(k + 63)*(k + 122)/2
Suppose 418*j**2/7 - 10476*j/7 + 650/7 = 0. Calculate j.
13/209, 25
Let 3*j**4 - 53322*j**3 + 236776275*j**2 + 1422311100*j + 1185481500 = 0. What is j?
-5, -1, 8890
Determine w so that -3*w**4 - 51234*w**3 + 102483*w**2 + 51234*w - 102480 = 0.
-17080, -1, 1, 2
Determine k so that 5*k**4 + 4135*k**3 + 8215*k**2 - 28855*k + 16500 = 0.
-825, -4, 1
Find p such that -p**4/2 + 228*p**2 - 896*p - 12936 = 0.
-22, -6, 14
Factor 2*d**5/11 - 842*d**4/11 - 308*d**3 - 5092*d**2/11 - 3398*d/11 - 850/11.
2*(d - 425)*(d + 1)**4/11
Suppose 2*p**5/17 - 2232*p**4/17 + 4450*p**3/17 + 6700*p**2/17 - 17832*p/17 + 8912/17 = 0. What is p?
-2, 1, 2, 1114
Factor 15*u**3 - 4949*u**2 - 330*u.
u*(u - 330)*(15*u + 1)
Factor -2*k**4/9 + 820*k**3/3 - 84050*k**2.
-2*k**2*(k - 615)**2/9
Let -2*q**2/7 + 355556*q/7 - 15802508642/7 = 0. What is q?
88889
Factor -2*j**4 + 1740*j**3 - 312650*j**2 - 28623000*j - 541205000.
-2*(j - 470)**2*(j + 35)**2
Find d such that -174243*d**2 - 410664*d - 241968 = 0.
-284/241
Suppose j**5/11 - 553*j**4/11 + 77277*j**3/11 - 20725*j**2 + 13750*j = 0. Calculate j.
0, 1, 2, 275
Solve -2*d**3/3 + 94*d**2 + 390*d - 1450/3 = 0.
-5, 1, 145
Let 132*v**5 - 536*v**4 - 760*v**3 + 4800*v**2 - 3852*v + 216 = 0. Calculate v.
-3, 2/33, 1, 3
Let 2*z**3/9 + 110*z**2/3 + 194*z/3 - 11410/9 = 0. Calculate z.
-163, -7, 5
Factor -q**2 - 11660*q + 11661.
-(q - 1)*(q + 11661)
Factor 2*i**3 - 1928*i**2 - 19438*i - 40908.
2*(i - 974)*(i + 3)*(i + 7)
What is u in 2*u**4/9 + 13700*u**3/9 - 109730*u**2/9 - 13700*u/9 + 12192 = 0?
-6858, -1, 1, 8
Solve -2*y**4/7 + 26*y**3 - 526*y**2/7 - 26*y + 528/7 = 0 for y.
-1, 1, 3, 88
Determine z, given that z**3/8 + 270*z**2 = 0.
-2160, 0
Factor -5*b**2 + 177620*b - 532815.
-5*(b - 35521)*(b - 3)
Let 2*j**2 - 698520*j + 60991273800 = 0. Calculate j.
174630
What is p in -2*p**3/5 - 894*p**2/5 - 6172*p/5 - 1056 = 0?
-440, -6, -1
Factor -4*a**3 - 236*a**2 - 2208*a - 4608.
-4*(a + 3)*(a + 8)*(a + 48)
Let -3*m**4 + 144*m**3 + 1902*m**2 + 2736*m - 4779 = 0. What is m?
-9, -3, 1, 59
Let 3*a**5 - 60*a**4 - 333*a**3 + 3198*a**2 - 7116*a + 4968 = 0. What is a?
-9, 2, 23
Solve -25*m**3 + 960*m**2 - 9005*m + 3450 = 0 for m.
2/5, 15, 23
Factor 5*y**2/6 + 2880*y + 2488320.
5*(y + 1728)**2/6
Let -5*z**3 - 63170*z**2 - 199522445*z = 0. Calculate z.
-6317, 0
Determine v so that 3*v**2 + 1447308*v - 1447311 = 0.
-482437, 1
Solve 229290*h**3/11 + 458584*h**2/11 + 229298*h/11 + 4/11 = 0 for h.
-1, -2/114645
Let 2*n**4 - 1814*n**3 + 3622*n**2 - 1810*n = 0. What is n?
0, 1, 905
Suppose 4*i**3/3 + 524*i**2/3 - 58