(x + 1)*(x + 3)/2
Factor -g**4 + 34*g**3 + 104*g**2 - 1056*g - 3456.
-(g - 36)*(g - 6)*(g + 4)**2
What is u in 2*u**2/11 - 24362*u/11 + 292056/11 = 0?
12, 12169
Solve -207*i**5 - 3462*i**4 - 10895*i**3 - 11660*i**2 - 4228*i - 208 = 0.
-13, -2, -1, -2/3, -4/69
Determine x so that -2*x**2/7 - 342*x/7 - 6808/7 = 0.
-148, -23
Suppose -3*l**4/5 + 3*l**3/5 + 366*l**2/5 - 2124*l/5 + 2808/5 = 0. Calculate l.
-13, 2, 6
Solve 5*q**2/6 + 1645*q + 1623615/2 = 0.
-987
Let 190*y**2 + 431875*y + 11365 = 0. Calculate y.
-2273, -1/38
Find z, given that -4*z**3 - 10344*z**2 - 6759216*z - 92612576 = 0.
-1286, -14
Factor -2*s**4 - 780*s**3 - 78354*s**2 - 449280*s - 663552.
-2*(s + 3)**2*(s + 192)**2
What is k in -k**2/5 - 2081492*k/5 - 1083152236516/5 = 0?
-1040746
Factor 2*j**3/7 - 762*j**2/7 + 4500*j/7.
2*j*(j - 375)*(j - 6)/7
Find l such that 3*l**5/2 - 1389*l**4/2 + 158601*l**3/2 + 522237*l**2/2 - 1973976*l + 2280138 = 0.
-7, 2, 233
Let 16*c**2 - 7368*c + 848241 = 0. Calculate c.
921/4
What is m in m**4/3 - 718*m**3/3 + 49060*m**2 - 2105400*m = 0?
0, 58, 330
Solve 42*g**5 + 5301*g**4/7 + 34560*g**3/7 + 96309*g**2/7 + 98172*g/7 + 2916/7 = 0.
-6, -3, -3/98
Factor k**3/6 + 55844*k**2/3 - 335071*k/6 + 111691/3.
(k - 2)*(k - 1)*(k + 111691)/6
Suppose -3*s**3 + 5151*s**2 - 10293*s + 5145 = 0. What is s?
1, 1715
Suppose -3*i**4 + 264*i**3 - 498*i**2 - 233640*i - 2349675 = 0. Calculate i.
-15, 59
Factor 5*i**3 + 1109710*i**2 + 61572814205*i.
5*i*(i + 110971)**2
Solve c**2/5 - 1272242*c/5 + 404649926641/5 = 0 for c.
636121
Factor c**2 - 115*c + 1500.
(c - 100)*(c - 15)
Factor -h**3/2 + 63*h**2 - 1655*h/2 - 72891.
-(h - 89)*(h - 63)*(h + 26)/2
Suppose -8*v**5/9 - 11614*v**4/9 - 624360*v**3 - 905633696*v**2/9 + 226759808*v/9 = 0. Calculate v.
-484, 0, 1/4
Determine k so that -5*k**2/9 - 1187*k - 712 = 0.
-2136, -3/5
Factor -2*q**2/13 - 536*q/13 + 17880/13.
-2*(q - 30)*(q + 298)/13
Solve 4*v**5 - 56*v**4 - 96*v**3 + 504*v**2 + 540*v = 0.
-3, -1, 0, 3, 15
Factor o**2/2 + 9*o/2 - 45.
(o - 6)*(o + 15)/2
Factor 4*g**2 - 56*g - 128.
4*(g - 16)*(g + 2)
Factor -2*f**3 + 1378*f**2 - 301878*f + 20394342.
-2*(f - 279)**2*(f - 131)
Factor 2*a**3/9 - 70*a**2/9 - 3226*a/9 + 366.
2*(a - 61)*(a - 1)*(a + 27)/9
Determine z so that 15*z**5/4 + 72*z**4 + 1005*z**3/4 - 639*z**2 + 312*z = 0.
-13, -8, 0, 4/5, 1
Find k such that 42*k**3 - 480222*k**2 + 2744845965*k/2 + 1569110700 = 0.
-8/7, 11435/2
Determine r, given that 22*r**3/3 - 224690*r**2/3 + 714712*r/3 - 40840 = 0.
2/11, 3, 10210
Factor 4*w**4/5 - 22*w**3 - 354*w**2/5 - 362*w/5 - 122/5.
2*(w + 1)**3*(2*w - 61)/5
Find q, given that -q**3/3 + 11*q**2/3 + 28*q - 288 = 0.
-9, 8, 12
Solve -3*u**2/7 - 31494*u/7 - 125928/7 = 0.
-10494, -4
Determine f so that -5*f**4 + 2740*f**3 + 2755*f**2 - 5490*f = 0.
-2, 0, 1, 549
Find a such that -4*a**5/9 + 1636*a**4 - 4523944*a**3/3 + 40627192*a**2/9 - 13532588*a/3 + 1503076 = 0.
1, 1839
Solve 2*o**5/5 + 378*o**4/5 + 3174*o**3/5 - 2362*o**2 + 12576*o/5 - 864 = 0 for o.
-180, -12, 1
Factor -g**2/4 - 473*g/2 - 4176.
-(g + 18)*(g + 928)/4
Factor -3*v**2/5 + 402*v - 16875.
-3*(v - 625)*(v - 45)/5
Let 16*l**3/15 - 186*l**2/5 + 3386*l/15 + 144/5 = 0. What is l?
-1/8, 8, 27
Factor 5*t**5 + 590*t**4 + 17985*t**3 + 34220*t**2 + 16820*t.
5*t*(t + 1)**2*(t + 58)**2
Solve p**5 - 239*p**4/3 + 1290*p**3 - 5800*p**2/3 = 0.
0, 5/3, 20, 58
Factor 2*o**2/11 - 1060190*o/11.
2*o*(o - 530095)/11
Suppose j**5/9 - 2*j**4/9 - 2401*j**3/9 + 2*j**2/9 + 800*j/3 = 0. Calculate j.
-48, -1, 0, 1, 50
Factor 2*p**2/7 - 538*p/7 - 540/7.
2*(p - 270)*(p + 1)/7
Factor -5*v**2 - 90250*v - 407253125.
-5*(v + 9025)**2
Suppose 4*w**4 - 30568*w**3 + 57970644*w**2 + 1641195920*w + 11530464400 = 0. What is w?
-14, 3835
Let 20*y**4/3 + 358*y**3/3 + 1592*y**2/3 + 730*y + 312 = 0. What is y?
-12, -39/10, -1
Solve s**4/5 - 152*s**3/5 + 741*s**2/5 - 882*s/5 = 0.
0, 2, 3, 147
Let 4*b**5 - 67620*b**4 + 285812832*b**3 - 285745216*b**2 = 0. What is b?
0, 1, 8452
What is t in -3*t**5/2 - 729*t**4 - 88572*t**3 + 729*t**2 + 177147*t/2 = 0?
-243, -1, 0, 1
Determine z, given that 2*z**3/11 - 338*z**2/11 + 1336*z - 65280/11 = 0.
5, 68, 96
Solve 460707*u**2/2 - 230355*u + 3/2 = 0.
1/153569, 1
Determine w so that 5*w**4 - 3510*w**3 + 576005*w**2 + 14107140*w + 55693700 = 0.
-17, -5, 362
Solve 2*j**5 + 178*j**4 + 4320*j**3 + 21808*j**2 + 40928*j + 26400 = 0.
-50, -33, -2
Factor -2*m**3 + 318*m**2 + 332*m - 1920.
-2*(m - 160)*(m - 2)*(m + 3)
Factor 1257*y**2 - 1227*y - 30.
3*(y - 1)*(419*y + 10)
Determine b so that -63*b**4 + 6458*b**3 - 15868*b**2 + 6808*b - 800 = 0.
2/9, 2/7, 2, 100
Factor 24756*b**2/7 - 321836*b/7 + 104/7.
4*(b - 13)*(6189*b - 2)/7
Find p such that p**5/3 - 16*p**4/3 - 79*p**3 - 584*p**2/3 - 364*p/3 = 0.
-7, -2, -1, 0, 26
Solve -4*s**2/5 + 82616*s/5 + 16524 = 0 for s.
-1, 20655
Find o such that -6*o**4 + 1774*o**3 - 5286*o**2 + 5274*o - 1756 = 0.
1, 878/3
Factor q**4 - 4356*q**3 + 250125*q**2 - 3614618*q.
q*(q - 4298)*(q - 29)**2
Factor 7*n**3 + 3446*n**2 + 391269*n + 111510.
(n + 177)*(n + 315)*(7*n + 2)
Factor 5*u**4 + 4650*u**3 + 1037880*u**2 - 128697120*u - 47875328640.
5*(u - 186)*(u + 372)**3
Suppose 125*j**5 - 6475*j**4 + 83370*j**3 - 195620*j**2 + 118120*j - 21120 = 0. What is j?
2/5, 2, 16, 33
Let 3*k**2/8 + 56061*k/4 + 1047611907/8 = 0. Calculate k.
-18687
Let -4*q**3/3 - 116*q**2/3 + 2020*q/3 + 2132/3 = 0. Calculate q.
-41, -1, 13
Determine d, given that 2*d**5 + 78*d**4 + 766*d**3 + 2362*d**2 + 432*d - 3640 = 0.
-26, -7, -5, -2, 1
What is t in -10*t**4/9 + 4882*t**3/9 + 23632*t**2/9 + 15776*t/9 = 0?
-4, -4/5, 0, 493
Find i, given that 3*i**2 + 1848*i + 64269 = 0.
-579, -37
Find y such that 2*y**2/7 + 1924*y/7 + 17154/7 = 0.
-953, -9
Factor -2*r**2 + 3728*r - 11166.
-2*(r - 1861)*(r - 3)
Factor 5*j**2/2 + 151465*j + 4588329245/2.
5*(j + 30293)**2/2
Solve -4*s**2 - 172952*s - 1869524644 = 0.
-21619
Factor w**3/3 - 249*w**2 + 28373*w - 84373/3.
(w - 607)*(w - 139)*(w - 1)/3
Determine y, given that 2*y**3 + 21656*y**2 + 58622792*y = 0.
-5414, 0
Factor 2*s**3/19 - 3482540*s**2/19.
2*s**2*(s - 1741270)/19
Factor d**2/6 + 2856*d - 120099/2.
(d - 21)*(d + 17157)/6
Find p such that -2*p**4/5 - 44*p**3/5 + 442*p**2/5 - 1116*p/5 + 144 = 0.
-30, 1, 3, 4
Factor -3*j**2 + 175878*j + 1231293.
-3*(j - 58633)*(j + 7)
Solve b**5 - 756*b**4 - 11519*b**3 - 35562*b**2 + 73888*b + 98688 = 0 for b.
-8, -1, 2, 771
Find p such that -2*p**2/3 + 409912*p/3 - 21003480968/3 = 0.
102478
Factor -m**4/3 - 113840*m**3/3 - 3240910798*m**2/3 - 19436244720*m - 87449271867.
-(m + 9)**2*(m + 56911)**2/3
Factor 3*u**2/4 + 1563*u/4 - 1179.
3*(u - 3)*(u + 524)/4
Factor 5*s**2 - 520*s + 7740.
5*(s - 86)*(s - 18)
Determine p, given that -2*p**5 - 1752*p**4 + 12326*p**3 - 31748*p**2 + 35304*p - 14128 = 0.
-883, 1, 2
Let q**5 - 27*q**4 + 138*q**3 + 314*q**2 - 939*q + 513 = 0. What is q?
-3, 1, 9, 19
Factor -2*i**4 - 65500*i**3 + 65502*i**2.
-2*i**2*(i - 1)*(i + 32751)
Find u such that -12*u**5/5 + 8278*u**4/5 + 34752*u**3/5 - 36078*u**2/5 - 1388*u = 0.
-5, -1/6, 0, 1, 694
Let 63*b**5 - 22341*b**4 - 8595*b**3 + 26601*b**2 + 8532*b - 4260 = 0. Calculate b.
-1, -2/3, 2/7, 1, 355
Solve -28*o**2/3 - 82*o - 536/3 = 0.
-67/14, -4
Determine w so that 4*w**3 + 1404*w**2 + 1392*w - 2800 = 0.
-350, -2, 1
Let -4*w**5 - 10748*w**4 - 32216*w**3 - 21472*w**2 = 0. What is w?
-2684, -2, -1, 0
Suppose -2*o**4 - 3098*o**3 - 3080*o**2 + 24792*o + 37152 = 0. What is o?
-1548, -2, 3
Find s such that 5*s**5 + 8945*s**4 + 26755*s**3 - 62585*s**2 - 133860*s + 160740 = 0.
-1786, -3, 1, 2
Factor 4*w**5 - 892*w**4 - 5460*w**3 - 8244*w**2.
4*w**2*(w - 229)*(w + 3)**2
Determine z so that 3*z**4/2 - 69*z**3/2 + 255*z**2 - 654*z + 540 = 0.
2, 9, 10
Solve -t**3/2 + 250449*t**2/2 = 0.
0, 250449
Factor -59*z**3 - 14749*z**2 - 921625*z + 15625.
-(z + 125)**2*(59*z - 1)
Suppose l**2/4 - 2144*l + 196719/4 = 0. Calculate l.
23, 8553
Factor 2*m**4/7 + 2018*m**3/7 + 6042*m**2/7 + 6038*m/7 + 2012/7.
2*(m + 1)**3*(m + 1006)/7
Factor 170*y**2 - 9006*y - 212.
2*(y - 53)*(85*y + 2)
Determine x so that 2*x**5/3 - 4226*x**4/3 - 16930*x**3/3 - 4234*x**2 = 0.
-3, -1, 0, 2117
Let -2*g**2/11 + 1304*g/11 + 1306/11 = 0. Calculate g.
-1, 653
Find p, given that -p**4 - 446*p**3 + 1347*p**2 - 4*p - 1796 = 0.
-449, -1, 2
Factor