 180435*a - 541260 = 0.
3, 36084
Factor -r**2/4 + 2670*r - 7128900.
-(r - 5340)**2/4
Let -m**2/4 + 603*m/4 - 40095/2 = 0. Calculate m.
198, 405
Suppose 800*b**5 + 10215*b**4 + 7488*b**3 + 1292*b**2 - 48*b = 0. Calculate b.
-12, -2/5, 0, 1/32
Factor -2*y**3 - 280*y**2 + 4286*y - 4004.
-2*(y - 13)*(y - 1)*(y + 154)
Solve -8*t**4 - 246*t**3 + 8862*t**2 + 305350*t + 1009050 = 0.
-31, -15/4, 35
Factor 4*v**2 - 29828*v + 29824.
4*(v - 7456)*(v - 1)
What is k in -6*k**4/11 - 178*k**3/11 - 564*k**2/11 + 208*k/11 = 0?
-26, -4, 0, 1/3
Factor x**4/5 - 423*x**3 + 279375*x**2 - 42736925*x - 9923847000.
(x - 745)**3*(x + 120)/5
Factor -5*x**2 + 1770750*x - 156777778125.
-5*(x - 177075)**2
What is f in f**3 + 5938*f**2 + 8814961*f = 0?
-2969, 0
Factor -2*h**4 - 2148*h**3 - 554858*h**2 + 11749560*h - 59841800.
-2*(h - 10)**2*(h + 547)**2
Solve -2*j**4/5 + 3974*j**3/5 - 7938*j**2/5 - 3974*j/5 + 1588 = 0.
-1, 1, 2, 1985
Suppose 5*t**4 - 55*t**3 + 145*t**2 + 175*t - 750 = 0. What is t?
-2, 3, 5
Solve m**3/12 - 2815*m**2/4 + 3517*m - 8440/3 = 0.
1, 4, 8440
Suppose -8*k**5/7 - 95846*k**4/7 - 287304278*k**3/7 - 1362988548*k**2/7 - 1362389760*k/7 + 430273728/7 = 0. Calculate k.
-5988, -3, -2, 1/4
Factor -17672*r**3/3 - 123328*r**2 + 7890*r - 126.
-2*(r + 21)*(94*r - 3)**2/3
Factor m**4/6 + 15*m**3/2 - 3127*m**2/6 + 11585*m/2 + 6321.
(m - 21)**2*(m + 1)*(m + 86)/6
Determine z, given that -2*z**5 + 292*z**4 - 10504*z**3 + 38576*z**2 - 37440*z = 0.
0, 2, 52, 90
Find b, given that -2*b**2/3 - 465152*b/3 - 27045797888/3 = 0.
-116288
Determine x, given that 5*x**5 - 185*x**4 - 17805*x**3 - 52255*x**2 - 51860*x - 17220 = 0.
-42, -1, 82
Factor 3*l**3/8 - 342*l**2 + 2733*l/8.
3*l*(l - 911)*(l - 1)/8
Factor y**2/3 - 7813*y/3 + 7810.
(y - 7810)*(y - 3)/3
Factor 4*u**3 + 1692*u**2 + 3372*u + 1684.
4*(u + 1)**2*(u + 421)
Let -2*z**5/13 - 48732*z**4/13 - 296997144*z**3/13 - 1780813456*z**2/13 - 3560847360*z/13 - 2373638400/13 = 0. What is z?
-12180, -2
Find g, given that -35*g**3 + 43160*g**2 - 13200175*g - 65137370 = 0.
-34/7, 619
Factor -4*x**3 - 1156*x**2 - 1152*x.
-4*x*(x + 1)*(x + 288)
Find n such that 6371*n**3 + 375886*n**2 - 382437*n + 180 = 0.
-60, 3/6371, 1
Factor -3*o**4 - 1145424*o**3 - 109334157066*o**2 - 218664877872*o - 109331866227.
-3*(o + 1)**2*(o + 190903)**2
Factor 3*d**3 - 21*d**2 - 318*d + 336.
3*(d - 14)*(d - 1)*(d + 8)
Suppose 4*u**3 + 285*u**2 + 3672*u - 2916 = 0. Calculate u.
-54, -18, 3/4
Suppose 2*p**4/19 - 634*p**3/19 + 3756*p**2/19 - 7480*p/19 + 4976/19 = 0. Calculate p.
2, 311
Factor 5*u**3/2 - 3145*u**2 + 1497725*u/2 + 159398250.
5*(u - 695)**2*(u + 132)/2
Suppose -3*f**2 + 93888*f - 734579712 = 0. What is f?
15648
Find q such that 172*q**3/3 + 4586*q**2/5 - 4884*q/5 + 34/15 = 0.
-17, 1/430, 1
Solve -78*p**4 - 21*p**3 + 339*p**2 - 6*p - 288 = 0.
-2, -1, 16/13, 3/2
Factor 4*w**2 - 232480*w - 232484.
4*(w - 58121)*(w + 1)
Solve 4*j**2 - 25106*j/3 - 20930/3 = 0 for j.
-5/6, 2093
Factor 3*n**2 + 188793*n.
3*n*(n + 62931)
Let c**4/8 - 6253*c**3/8 - 15641*c**2/4 - 12515*c/2 - 3129 = 0. What is c?
-2, -1, 6258
Factor 3*w**2 + 1641*w + 4896.
3*(w + 3)*(w + 544)
Solve 2*f**4/9 + 508*f**3/9 + 4042*f**2 + 509288*f/9 + 473416/9 = 0.
-118, -17, -1
Factor -k**2 - 14926*k + 239072.
-(k - 16)*(k + 14942)
Factor -v**3 - 239*v**2 - 5780*v + 27008.
-(v - 4)*(v + 32)*(v + 211)
Factor -2*l**2/5 - 38*l + 47008/5.
-2*(l - 113)*(l + 208)/5
Factor 3*h**3/8 - 837*h**2/8 + 102*h + 1251/2.
3*(h - 278)*(h - 3)*(h + 2)/8
Solve -d**4 - 9961*d**3 - 79640*d**2 - 159248*d = 0 for d.
-9953, -4, 0
Factor 2*m**3/5 - 814*m**2/5 + 84032*m/5 - 244824/5.
2*(m - 202)**2*(m - 3)/5
Determine b so that 2*b**4/9 - 2990*b**3/3 - 8974*b**2/3 - 26926*b/9 - 2992/3 = 0.
-1, 4488
Suppose -5*d**5 - 440*d**4 + 2360*d**3 + 3230*d**2 - 2355*d - 2790 = 0. What is d?
-93, -1, 1, 6
Let -3*q**5 + 161*q**4 - 3296*q**3 + 31268*q**2 - 128352*q + 141120 = 0. Calculate q.
5/3, 12, 14
Factor -2*i**2/5 - 6078*i/5.
-2*i*(i + 3039)/5
Determine h so that -3*h**5 - 3690*h**4 + 14799*h**3 - 11118*h**2 - 14796*h + 14808 = 0.
-1234, -1, 1, 2
Let -2*g**4/9 + 22*g**3/9 + 8*g**2/3 - 520*g/9 + 800/9 = 0. Calculate g.
-5, 2, 4, 10
Solve -3*n**3 - 27828*n**2 - 64560951*n - 129010614 = 0.
-4637, -2
Determine r so that 2*r**5 + 4*r**4 - 136*r**3 + 240*r**2 = 0.
-10, 0, 2, 6
Factor -f**3 + 677250*f**2 - 1354497*f + 677248.
-(f - 677248)*(f - 1)**2
Solve v**4/3 + 4178*v**3/3 - 8380*v**2/3 - 83624*v/3 - 33440 = 0.
-4180, -2, 6
Factor l**2/2 + 28761*l + 827195121/2.
(l + 28761)**2/2
Find t, given that -t**2 + 24533*t + 343658 = 0.
-14, 24547
Determine v so that v**4/5 - 217*v**3/5 - 658*v**2/5 - 88*v = 0.
-2, -1, 0, 220
Factor 5*o**4 - 200*o**3 + 395*o**2 + 33540*o + 91260.
5*(o - 26)**2*(o + 3)*(o + 9)
Solve 1260*c**4 - 1036500*c**3 + 4768235*c**2 - 6116240*c + 1382420 = 0.
2/7, 13/6, 818
Solve 4*c**5 - 460*c**4 + 876*c**3 + 55244*c**2 - 319088*c + 263424 = 0.
-12, 1, 7, 112
Factor -2*i**2 + 10050*i.
-2*i*(i - 5025)
Factor d**3 + 7201*d**2 + 43175*d + 35975.
(d + 1)*(d + 5)*(d + 7195)
Find j such that -5*j**5 + 1625*j**4 + 13265*j**3 + 18355*j**2 - 13260*j - 19980 = 0.
-6, -2, -1, 1, 333
Factor -2*y**3 - 756*y**2 + 63618*y - 62860.
-2*(y - 70)*(y - 1)*(y + 449)
Let -57*v**3/7 + 13*v**2 + 158*v - 680/7 = 0. Calculate v.
-4, 34/57, 5
Let -5*a**5 - 1510*a**4 + 3040*a**3 - 10*a**2 - 3035*a + 1520 = 0. Calculate a.
-304, -1, 1
What is o in 4*o**2/7 + 64*o + 5820/7 = 0?
-97, -15
Determine q so that 5*q**4/3 - 305*q**3/3 - 7105*q**2/3 - 13065*q - 10800 = 0.
-9, -1, 80
Factor 4*n**2/5 + 10564*n/5 + 21048.
4*(n + 10)*(n + 2631)/5
Let -3*n**3 - 83747*n**2/8 - 122089*n/8 - 3924 = 0. Calculate n.
-3488, -9/8, -1/3
Suppose -f**2/3 + 235078*f/3 - 13815416521/3 = 0. What is f?
117539
What is t in 2*t**2 + 31424*t + 123433472 = 0?
-7856
Factor 24*a**3 - 1467*a**2 + 12423*a - 1530.
3*(a - 51)*(a - 10)*(8*a - 1)
Suppose -19*k**4/5 + 339*k**3/5 + 8566*k**2/5 + 1344*k/5 = 0. Calculate k.
-14, -3/19, 0, 32
Solve -2*x**3 - 942*x**2 - 104544*x + 1522664 = 0.
-242, 13
Factor 2*n**2 + 194008*n - 388024.
2*(n - 2)*(n + 97006)
Suppose -5*m**4 + 380*m**3 + 2885*m**2 - 109100*m + 504000 = 0. What is m?
-20, 7, 9, 80
Factor 4*q**3 + 2616*q**2 + 542640*q + 34528928.
4*(q + 122)*(q + 266)**2
Solve -2*n**4/3 - 190*n**3 + 2306*n**2/3 - 578*n = 0 for n.
-289, 0, 1, 3
Find z, given that -549081*z**3/7 - 1663545*z**2/7 - 1679968*z/7 - 565504/7 = 0.
-752/741, -1
Determine k, given that 392*k**5/9 - 26222*k**4/3 + 53050*k**3/9 + 30016*k**2/9 - 1064*k/3 - 1600/9 = 0.
-2/7, 1/4, 1, 200
Factor 2*b**2/7 - 331200*b/7 + 13711680000/7.
2*(b - 82800)**2/7
Suppose j**2/10 + 93*j/2 - 970 = 0. Calculate j.
-485, 20
Factor -2*w**2 - 74568*w - 695048328.
-2*(w + 18642)**2
Solve -4*r**3 + 56*r**2 - 140*r - 200 = 0.
-1, 5, 10
Let -2*p**4/3 - 56*p**3/3 - 50*p**2 + 8*p/3 + 200/3 = 0. Calculate p.
-25, -2, 1
Suppose 5*i**3/2 + 445*i**2/2 + 12515*i/2 + 112875/2 = 0. Calculate i.
-43, -25, -21
Factor -2*u**2/3 + 44860*u/3 - 251552450/3.
-2*(u - 11215)**2/3
Find q such that -q**2/4 - 33690*q = 0.
-134760, 0
Factor n**5 + 23000*n**4 + 176325664*n**3 + 450512015294*n**2 - 451041107297*n - 901376819926.
(n - 2)*(n + 1)*(n + 7667)**3
Find s such that -s**3/3 + 299*s**2/3 + 100*s = 0.
-1, 0, 300
What is k in 234256*k**5 - 5808*k**4 - 234220*k**3 + 5808*k**2 - 36*k = 0?
-1, 0, 3/242, 1
Factor -r**2 - 34784*r - 302481664.
-(r + 17392)**2
Find l such that l**2/5 + 2672*l/5 - 2673/5 = 0.
-2673, 1
What is r in -3*r**2 + 635220*r - 33625370700 = 0?
105870
Suppose -2*i**2 - 382*i - 9920 = 0. What is i?
-160, -31
Determine x so that -2*x**2/3 + 3928*x/3 - 265160/3 = 0.
70, 1894
Factor -2*n**3/7 - 40*n**2/7 - 134*n/7 - 96/7.
-2*(n + 1)*(n + 3)*(n + 16)/7
Factor -2*d**2/9 - 286*d/9 + 596/3.
-2*(d - 6)*(d + 149)/9
Factor 10*h**2/7 + 3827*h/7 - 1149/7.
(h + 383)*(10*h - 3)/7
What is r in 20*r**5/7 + 708*r**4/7 - 14360*r**3/7 - 47648*r**2 - 1539072*r/7 - 563200/7 = 0?
-44, -8, -2/5, 25
Let b**3 + 682*b**2 + 13340*b + 66200 = 0. What is b?
-662, -10
Solve -2*r**5/9 - 140*r**4/9 - 1988*r**3/9 - 10208*r**2/9 - 18746*r/9 - 10388/9 = 0.
-53, -7, -2, -1
Determine z so that z**5/6 - 1699*z**4/6 + 298615*z**3/3 + 55080779*z**2/3 - 74036005*z/2 + 37116975/2 = 0.
-133, 1, 915
Factor -v**2/3 + 116080*v/3 + 116081/