r l.
-24208/9, -1
Let 4*g**2 - 257840*g + 4155091600 = 0. What is g?
32230
Suppose 2*c**5 + 34014*c**4 + 192825358*c**3 + 364375530562*c**2 - 771301464*c - 1457502666472 = 0. What is c?
-5669, -2, 2
Factor -2*y**2 - 4904*y + 14730.
-2*(y - 3)*(y + 2455)
Determine o, given that -5*o**4 - 239680*o**3 - 2873044065*o**2 - 17231553950*o - 22972849000 = 0.
-23965, -4, -2
Determine k so that -2*k**5/3 - 1136*k**4/3 + 4564*k**3/3 - 6856*k**2/3 + 4574*k/3 - 1144/3 = 0.
-572, 1
Factor -q**2/5 - 214*q/5 - 945.
-(q + 25)*(q + 189)/5
Determine b so that b**5/6 - 245*b**4/6 + 1143*b**3 - 23840*b**2/3 - 27392*b/3 = 0.
-1, 0, 16, 214
Factor -2*o**2/3 - 6770*o/3 + 6772/3.
-2*(o - 1)*(o + 3386)/3
Determine h, given that -2*h**4/5 + 294108*h**3/5 - 882312*h**2/5 + 882308*h/5 - 294102/5 = 0.
1, 147051
Suppose k**4 + 9*k**3 - 26*k**2 - 36*k + 88 = 0. Calculate k.
-11, -2, 2
Determine o, given that -6*o**4/11 - 524*o**3/11 + 5646*o**2/11 + 1940*o/11 = 0.
-97, -1/3, 0, 10
What is l in -60*l**2 + 245*l/2 + 4775 = 0?
-191/24, 10
Factor -5*h**2 - 33915*h - 33910.
-5*(h + 1)*(h + 6782)
Let 57*h**5 - 420*h**4 - 4812*h**3 + 7698*h**2 + 8211*h - 3822 = 0. Calculate h.
-7, -1, 7/19, 2, 13
Suppose -3*m**5 - 507*m**4 - 1494*m**3 + 12*m**2 + 1992*m = 0. Calculate m.
-166, -2, 0, 1
Factor -4837541522*z**2/13 - 393448*z/13 - 8/13.
-2*(49181*z + 2)**2/13
Suppose 2*z**5/3 - 16*z**4/3 + 26*z**3/3 + 52*z**2/3 - 128*z/3 + 64/3 = 0. What is z?
-2, 1, 4
Solve i**2 + 1444*i - 24837 = 0.
-1461, 17
Find m such that -2*m**5/5 + 8528*m**4/5 + 59828*m**3/5 - 145232*m**2/5 + 76878*m/5 = 0.
-9, 0, 1, 4271
Suppose 17*u**5 - 1601*u**4/3 - 3567*u**3 + 4409*u**2/3 - 74*u = 0. What is u?
-6, 0, 1/17, 1/3, 37
Factor 3*v**3 - 1056*v**2 - 36864*v.
3*v*(v - 384)*(v + 32)
Factor 2*j**2 + 13510*j + 27012.
2*(j + 2)*(j + 6753)
Suppose 4*r**3/7 + 78*r**2/7 - 3082*r/7 - 1560/7 = 0. What is r?
-39, -1/2, 20
Suppose 5*v**5 - 30*v**4 + 10*v**3 + 80*v**2 - 15*v - 50 = 0. Calculate v.
-1, 1, 2, 5
Suppose -n**4 + 304132*n**3/3 - 23123764222*n**2/9 - 15416146948*n/9 - 2569374721/9 = 0. What is n?
-1/3, 50689
Factor i**2/3 + 11910*i + 106386075.
(i + 17865)**2/3
Find a, given that -17*a**4/4 - 547*a**3/2 - 1421*a**2/4 + 444*a + 189 = 0.
-63, -2, -6/17, 1
Factor 2*s**3/5 - 1016*s**2/5 - 35526*s/5 - 19476.
2*(s - 541)*(s + 3)*(s + 30)/5
Solve 12*o**3 - 1401*o**2 + 21993*o + 5586 = 0 for o.
-1/4, 19, 98
Factor -25*i**2 - 18204*i - 2912.
-(i + 728)*(25*i + 4)
Factor -2*s**4/5 - 814*s**3/5 - 966*s**2 - 7218*s/5.
-2*s*(s + 3)**2*(s + 401)/5
Factor o**3/3 - 13319*o**2/3 + 26635*o/3 - 4439.
(o - 13317)*(o - 1)**2/3
Suppose -o**3/5 + 222*o**2/5 - 12152*o/5 = 0. Calculate o.
0, 98, 124
Factor w**2/2 - 11647*w/2.
w*(w - 11647)/2
Suppose 390*q**4 + 1556*q**3 - 1966*q**2 + 20*q = 0. What is q?
-5, 0, 2/195, 1
Factor 2*d**3/5 - 6678*d**2/5 + 1114224*d + 1115560.
2*(d - 1670)**2*(d + 1)/5
Find j, given that -j**4/6 + 51584*j**3/3 + j**2/2 - 154753*j/3 + 103168/3 = 0.
-2, 1, 103168
Factor 4*o**3 + 636*o**2 - 6660*o - 3104892.
4*(o - 63)*(o + 111)**2
Factor 5*n**3 + 400*n**2 + 3500*n.
5*n*(n + 10)*(n + 70)
Suppose 9*z**5/5 + 597*z**4/5 - 2301*z**3/5 + 663*z**2/5 + 2292*z/5 - 252 = 0. Calculate z.
-70, -1, 2/3, 1, 3
Factor -2*k**2/15 + 442*k/3 - 47656/5.
-2*(k - 1036)*(k - 69)/15
Find a such that -3200*a**5 + 63840*a**4 - 112002*a**3 - 5720*a**2 - 72*a = 0.
-1/40, 0, 2, 18
Determine t so that 4*t**5/3 - 1718*t**4/3 + 88198*t**3/3 - 515138*t**2/3 + 621574*t/3 - 192920/3 = 0.
1/2, 1, 5, 52, 371
Factor 2*u**2/7 + 150*u/7 - 1496.
2*(u - 44)*(u + 119)/7
Let -o**3/2 + 133*o**2 - 789*o/2 = 0. What is o?
0, 3, 263
Solve 2*a**5/13 + 2*a**4/13 - 124*a**3/13 - 456*a**2/13 - 432*a/13 = 0 for a.
-6, -2, 0, 9
Factor 2*i**2/19 + 1470*i/19 + 8748/19.
2*(i + 6)*(i + 729)/19
Suppose -4*o**4/9 + 20*o**3/3 - 280*o**2/9 + 160*o/3 - 256/9 = 0. Calculate o.
1, 2, 4, 8
Factor -t**4 - 80*t**3 - 1626*t**2 - 10504*t - 8957.
-(t + 1)*(t + 13)**2*(t + 53)
Suppose 13*d**4 + 110*d**3 - 251*d**2 - 528*d - 180 = 0. Calculate d.
-10, -1, -6/13, 3
Suppose 16*b**5/3 - 9148*b**4/3 + 1306304*b**3/3 + 409516*b**2/3 - 3919344*b - 981552 = 0. Calculate b.
-3, -1/4, 3, 286
Suppose 315*w**5 + 1600*w**4 + 475*w**3 - 6450*w**2 - 6300*w - 1080 = 0. What is w?
-3, -6/7, -2/9, 2
Determine k, given that -5*k**3 - 2839000*k**2 - 402998888985*k - 805986422010 = 0.
-283899, -2
Factor 2*y**2/13 - 3674*y/13 + 412080/13.
2*(y - 1717)*(y - 120)/13
Suppose 3*t**2 + 65970*t + 1779003 = 0. Calculate t.
-21963, -27
Determine o, given that -2*o**5/7 - 12*o**4/7 + 110*o**3/7 = 0.
-11, 0, 5
Suppose 3*t**2 + 15762*t - 15765 = 0. Calculate t.
-5255, 1
Let -d**5/5 + 16*d**4/5 + 218*d**3/5 + 184*d**2/5 - 217*d/5 - 40 = 0. What is d?
-8, -1, 1, 25
Suppose -58*s**2/7 - 694*s/7 + 24/7 = 0. What is s?
-12, 1/29
Solve c**2/4 - 789*c/2 - 7915/4 = 0 for c.
-5, 1583
Let 9*a**4 - 1536*a**3 + 80517*a**2 - 1204062*a + 767376 = 0. Calculate a.
2/3, 24, 73
Factor -p**2/4 - 2141*p/4 + 2145.
-(p - 4)*(p + 2145)/4
What is n in -4*n**4/5 - 21029*n**3/5 + 24211*n**2 + 31578*n/5 = 0?
-5263, -1/4, 0, 6
Suppose f**2/3 + 21712*f + 353558208 = 0. Calculate f.
-32568
Factor 4*p**3/3 + 17476*p**2/3 - 69952*p/3 + 69968/3.
4*(p - 2)**2*(p + 4373)/3
Suppose 265*u**2/3 - 15899*u/6 - 5 = 0. Calculate u.
-1/530, 30
Suppose -j**2 - 526*j - 3633 = 0. Calculate j.
-519, -7
Suppose -2*f**2/3 + 46*f + 1580/3 = 0. What is f?
-10, 79
Factor -3*i**2 + 73323*i + 219996.
-3*(i - 24444)*(i + 3)
Let -s**5/3 - 502*s**4/3 + 2114*s**3/3 + 15288*s**2 + 54765*s + 59202 = 0. What is s?
-506, -3, 13
Determine j, given that 3*j**4/4 + 1809*j**3/4 - 14721*j**2/4 - 34857*j/4 - 9165/2 = 0.
-611, -1, 10
Factor -5*p**3 + 55830*p**2 - 155905260*p + 311587240.
-5*(p - 5582)**2*(p - 2)
Determine y, given that -16846*y**4 + 33696*y**3 - 8*y**2 = 0.
0, 2/8423, 2
Suppose -4*r**2/9 + 155872*r/9 - 207808/3 = 0. What is r?
4, 38964
Factor -3*m**3 + 129*m**2 - 1224*m + 3348.
-3*(m - 31)*(m - 6)**2
What is p in 2*p**2/5 + 848*p/5 - 2816 = 0?
-440, 16
Let 2*j**4/15 + 28*j**3/15 + 34*j**2/5 + 28*j/15 - 32/3 = 0. What is j?
-8, -5, -2, 1
Suppose i**4 - 8462*i**3 + 17909821*i**2 - 35794260*i + 17892900 = 0. What is i?
1, 4230
Determine j so that -3*j**3 + 9399*j**2 - 7375845*j + 22043025 = 0.
3, 1565
What is f in -3*f**5 - 42*f**4 + 672*f**3 + 3168*f**2 = 0?
-22, -4, 0, 12
Determine n so that 2*n**2 - 409716*n + 20983400082 = 0.
102429
Factor -2*w**3 - 36*w**2 + 366*w + 400.
-2*(w - 8)*(w + 1)*(w + 25)
Factor 2*u**4 + 1004*u**3 + 127002*u**2 + 251000*u + 125000.
2*(u + 1)**2*(u + 250)**2
Determine s so that -s**3 - 5474*s**2 - 7485692*s + 14993288 = 0.
-2738, 2
Let -2*g**2/3 - 82*g/3 + 28 = 0. What is g?
-42, 1
Factor -3*f**2/4 - 13239*f + 52959/4.
-3*(f - 1)*(f + 17653)/4
Factor l**4/4 + 482*l**3 + 310086*l**2 + 66770568*l + 132304644.
(l + 2)*(l + 642)**3/4
Factor -4*m**5 - 1684*m**4 - 144096*m**3 + 7277760*m**2.
-4*m**2*(m - 35)*(m + 228)**2
Find w, given that 75*w**3/2 - 3525480*w**2 + 2820366*w - 564072 = 0.
2/5, 94012
Find o such that 2*o**3 + 454042*o**2 - 2*o - 454042 = 0.
-227021, -1, 1
What is r in 4*r**5 + 472*r**4 + 5128*r**3 + 4192*r**2 - 5132*r - 4664 = 0?
-106, -11, -1, 1
Find f, given that -30*f**4 + 69*f**3 + 12*f**2 - 69*f + 18 = 0.
-1, 3/10, 1, 2
Factor 2*t**3 - 192*t**2 + 562*t - 372.
2*(t - 93)*(t - 2)*(t - 1)
Factor 2*c**2 - 245262*c + 245260.
2*(c - 122630)*(c - 1)
Let -2*a**2 + 20776*a + 41560 = 0. Calculate a.
-2, 10390
Determine d, given that -2*d**4/3 + 2722*d**3/3 - 309172*d**2 + 919360*d/3 + 1849600/3 = 0.
-1, 2, 680
Factor 2*h**3 + 14034*h**2 - 295488*h + 760104.
2*(h - 18)*(h - 3)*(h + 7038)
Solve 16*h**4 - 1452336*h**3 + 32956771588*h**2 + 32957860848*h + 8239555984 = 0.
-1/2, 45386
Factor -y**4 + 77*y**3 - 720*y**2 - 4700*y + 52000.
-(y - 65)*(y - 10)**2*(y + 8)
Factor 4*k**4/7 - 76*k**3/7 - 88*k**2/7 + 160*k/7.
4*k*(k - 20)*(k - 1)*(k + 2)/7
Let -3*d**5/4 + 17193*d**4/2 - 32841495*d**3 + 83614434807*d**2/2 + 167360269983*d/4 = 0. What is d?
-1, 0, 3821
Factor -25*q**2/2 + 2985*q/2 - 595.
-5*(q - 119)*(5*q - 2)/2
Solve 6*a**3/5 - 19372*a**2/5 - 220298*a/5 - 14256 = 0.
-11, -1/3, 3240
Find n, given that 24*n**4 - 2780*n**3 + 1384*n**2 + 5407556*n + 901208 = 0.
-38, -1/6, 77
Factor 3*k**4/4 - 195*k**3/4 - 3*k**2/4 + 195*k/4.
3*k*(k 