or 4*y**2 + 716*y - 15920.
4*(y - 20)*(y + 199)
Suppose r**2 - 16*r - 3657 = 0. Calculate r.
-53, 69
Suppose -605*i**4 + 825*i**3 + 491020*i**2 - 178620*i + 16240 = 0. What is i?
-28, 2/11, 29
Let -n**5 - 111*n**4 - 2486*n**3 - 4536*n**2 = 0. What is n?
-81, -28, -2, 0
Let -5*o**3 - 2945*o**2 + 64160*o + 67100 = 0. What is o?
-610, -1, 22
Determine m so that m**5 - 5*m**4 - 33*m**3 + 161*m**2 - 208*m + 84 = 0.
-6, 1, 2, 7
Determine r, given that -91*r**2 - 2298*r + 664 = 0.
-332/13, 2/7
Solve 3*q**2/8 - 939*q/8 + 12495/2 = 0 for q.
68, 245
What is y in -3*y**2/7 - 11031*y/7 + 11034/7 = 0?
-3678, 1
Solve b**4/4 + 35*b**3/2 + 1353*b**2/4 + 1089*b = 0 for b.
-33, -4, 0
Solve 10*l**5 + 555*l**4 + 4590*l**3 + 10120*l**2 = 0 for l.
-46, -11/2, -4, 0
Factor -c**4 + 758*c**3 + 12339*c**2 + 34992*c - 125388.
-(c - 774)*(c - 2)*(c + 9)**2
Factor -2*n**2/19 + 708*n/19 - 20608/19.
-2*(n - 322)*(n - 32)/19
Determine p, given that -4*p**3 + 36*p**2 + 928*p - 7680 = 0.
-15, 8, 16
Suppose 3*s**2 - 84801*s - 84804 = 0. Calculate s.
-1, 28268
Factor -u**4 + 5592*u**3 - 144716*u**2.
-u**2*(u - 5566)*(u - 26)
Find v such that -29*v**4 + 144*v**3 + 817*v**2 - 900*v - 32 = 0.
-4, -1/29, 1, 8
Factor -c**3 - 84*c**2 + 2211*c - 12826.
-(c - 11)**2*(c + 106)
What is l in -l**2 - 16*l + 3185 = 0?
-65, 49
Factor -4*b**4/3 + 1856*b**3/3 - 74792*b**2 + 2106560*b/3 - 5152900/3.
-4*(b - 227)**2*(b - 5)**2/3
Factor -3*c**3 + 35430*c**2 - 106251*c - 141684.
-3*(c - 11807)*(c - 4)*(c + 1)
Solve 12*h**5 - 684*h**4 - 4401*h**3 - 8418*h**2 - 5463*h - 1134 = 0 for h.
-3, -2, -1/2, 63
Factor 14*b**3/9 - 167234*b**2/9 + 166451582*b/3 + 39640810.
2*(b - 5973)**2*(7*b + 5)/9
Factor -2*b**2/9 - 2530*b/9 + 2548.
-2*(b - 9)*(b + 1274)/9
Factor -k**4 + 10487*k**3 - 27478557*k**2 - 82509095*k - 55020050.
-(k - 5245)**2*(k + 1)*(k + 2)
Solve 2*t**3 + 17486*t**2 + 38228766*t + 38211282 = 0.
-4371, -1
Find x, given that -5*x**5 + 390*x**4 - 4830*x**3 - 111560*x**2 - 256725*x + 992250 = 0.
-7, 2, 45
Suppose v**3/2 + 7617*v**2/2 + 7261848*v + 36214090 = 0. What is v?
-3806, -5
Find y such that 3*y**4/2 + 357*y**3 - 4080*y**2 + 7083*y - 6723/2 = 0.
-249, 1, 9
Factor 2*f**2/3 - 6244*f/3 - 2082.
2*(f - 3123)*(f + 1)/3
Let -2*k**2/5 + 56120*k + 280602/5 = 0. Calculate k.
-1, 140301
Factor 1015*l**2/3 - 337*l - 4/3.
(l - 1)*(1015*l + 4)/3
Factor -g**3/4 - g**2/4 + 954*g + 23004.
-(g - 71)*(g + 36)**2/4
Let -3*v**2 + 9377*v - 65492 = 0. Calculate v.
7, 9356/3
Factor -3*v**4/8 - 849*v**3/8 - 7008*v**2 + 143883*v/2.
-3*v*(v - 9)*(v + 146)**2/8
Let -4*z**2 + 56376*z + 56380 = 0. What is z?
-1, 14095
Let 3*o**4 + 408*o**3 + 14967*o**2 + 69810*o - 202800 = 0. Calculate o.
-65, -8, 2
Determine u, given that u**5 + 62*u**4 + 492*u**3 + 770*u**2 - 1325*u = 0.
-53, -5, 0, 1
Factor w**2/5 + 68562*w/5 + 1175186961/5.
(w + 34281)**2/5
Factor -9*o**2 - 142936*o + 31764.
-(o + 15882)*(9*o - 2)
Factor 845*d**2 + 1138205*d - 13470.
5*(d + 1347)*(169*d - 2)
Find u, given that u**3/3 - 31*u**2/6 + 103*u/6 - 22/3 = 0.
1/2, 4, 11
Determine i so that -2*i**3/7 - 416*i**2/7 + 418*i/7 = 0.
-209, 0, 1
Find f such that -2*f**5/3 - 44*f**4 + 148*f**3/3 + 312*f**2 - 146*f/3 - 268 = 0.
-67, -2, -1, 1, 3
Factor -5*x**3 + 36775*x**2 - 67638415*x + 67601645.
-5*(x - 3677)**2*(x - 1)
Find g such that -2*g**4/5 + 16*g**3 - 200*g**2 + 800*g = 0.
0, 10, 20
Suppose 3*l**4 - 6105*l**3 + 24384*l**2 - 24372*l = 0. What is l?
0, 2, 2031
Suppose -3*k**4/5 + 150*k**3 + 303*k**2 - 150*k - 1512/5 = 0. Calculate k.
-2, -1, 1, 252
What is r in 3*r**3 - 18*r**2 - 1989*r - 16224 = 0?
-13, 32
Let v**3/2 + 129*v**2/2 + 4679*v/2 + 32391/2 = 0. What is v?
-61, -59, -9
Find a such that -2*a**4/5 + 12*a**3/5 + 1198*a**2/5 - 3648*a/5 - 184832/5 = 0.
-16, 19
Solve -3*d**4 + 84*d**3 + 393*d**2 - 234*d - 1728 = 0.
-3, 2, 32
Let 26*q**3/3 - 373624*q**2/3 + 447429110*q - 68832300 = 0. What is q?
2/13, 7185
Factor 4*u**3/9 + 3016*u**2/9 + 6020*u/9 + 3008/9.
4*(u + 1)**2*(u + 752)/9
Suppose -5*x**2 + 97285*x - 97280 = 0. Calculate x.
1, 19456
Factor 4*y**3 - 3292*y**2 + 731264*y - 21733040.
4*(y - 394)**2*(y - 35)
Factor -5*a**2/4 - 10309*a/2 + 2062.
-(a + 4124)*(5*a - 2)/4
Suppose 2*y**2 + 1240*y - 3738 = 0. Calculate y.
-623, 3
Factor -20*h**2 - 1955*h + 21550.
-5*(h - 10)*(4*h + 431)
Find y such that -25*y**5 - 8060*y**4 + 4880*y**3 + 11290*y**2 - 4855*y - 3230 = 0.
-323, -1, -2/5, 1
Solve -3*y**4 - 519*y**3 + 525*y**2 + 519*y - 522 = 0.
-174, -1, 1
Factor a**2/3 + 29228*a/3 + 116896/3.
(a + 4)*(a + 29224)/3
Factor -5*o**4 + 5070*o**3 - 196800*o**2 + 1948000*o.
-5*o*(o - 974)*(o - 20)**2
Factor 198*h**2 - 7341*h + 555.
3*(h - 37)*(66*h - 5)
Determine r so that 2*r**3/7 + 962*r**2/7 + 960*r/7 = 0.
-480, -1, 0
Factor -3*d**2 - 3366*d + 93069.
-3*(d - 27)*(d + 1149)
Factor -i**5/5 + 16*i**4 - 1678*i**3/5 + 624*i**2 - 1521*i/5.
-i*(i - 39)**2*(i - 1)**2/5
Find w, given that 2*w**3/9 + 8722*w**2/9 - 8740*w = 0.
-4370, 0, 9
Suppose b**2/3 + 151*b + 6992/3 = 0. Calculate b.
-437, -16
Let 3*x**2 - 75*x - 2322 = 0. What is x?
-18, 43
Determine p so that 22*p**5 - 4894*p**4/3 + 55406*p**3/3 - 49102*p**2 - 160160*p/3 - 23912/3 = 0.
-2/3, -2/11, 7, 61
Solve -5*q**3/2 - 47611*q**2/2 + 133341*q/2 - 85725/2 = 0.
-9525, 1, 9/5
Determine x so that -5*x**4 - 265*x**3 - 3940*x**2 - 22400*x - 42240 = 0.
-33, -8, -4
Factor -o**3 + 2403*o**2 + 31438*o - 72480.
-(o - 2416)*(o - 2)*(o + 15)
Solve 5*x**4/2 - 2625*x**3/4 - 39645*x**2/4 - 36010*x = 0.
-8, -13/2, 0, 277
Let -54*k**5/11 + 13668*k**4/11 - 15010*k**3/11 - 27740*k**2/11 + 5024*k/11 + 4032/11 = 0. What is k?
-1, -1/3, 4/9, 2, 252
Find q such that 2*q**3/19 - 3326*q**2/19 - 2112*q - 120600/19 = 0.
-6, 1675
Determine a, given that 5*a**5 + 2375*a**4 - 4785*a**3 - 7135*a**2 + 9560*a + 9540 = 0.
-477, -1, 2
Suppose -302*l**2/3 + 193*l + 50/3 = 0. Calculate l.
-25/302, 2
Determine i, given that 15*i**4/2 - 639*i**3/2 - 81099*i**2 - 113028*i - 32256 = 0.
-84, -1, -2/5, 128
Let 2*r**3/3 + 47414*r**2/3 - 94834*r/3 + 15806 = 0. Calculate r.
-23709, 1
Let -5*t**3 + 6620*t**2 - 6615*t = 0. Calculate t.
0, 1, 1323
Solve -3*u**5/2 + 201*u**4 - 11745*u**3/2 + 30531*u**2 - 57966*u + 37620 = 0 for u.
2, 33, 95
Factor -68*o**2 - 7338*o + 648.
-2*(o + 108)*(34*o - 3)
Factor -g**4/5 - 123*g**3/5 + 762*g**2/5 - 308*g + 1032/5.
-(g - 2)**3*(g + 129)/5
Solve 13*o**4/2 - 423*o**3 + 65*o**2/2 = 0 for o.
0, 1/13, 65
Suppose -2*i**3 - 364*i**2 - 17290*i - 77600 = 0. What is i?
-97, -80, -5
Determine x, given that 2525*x**2 - 20180*x - 160 = 0.
-4/505, 8
Let -2*r**5/15 - 88*r**4/15 - 586*r**3/15 - 284*r**2/15 + 896*r/5 - 576/5 = 0. What is r?
-36, -6, -4, 1
What is d in -10*d**2/3 - 20912*d/3 - 1394 = 0?
-2091, -1/5
Find g such that -3*g**2 - 3538866*g - 1043631047163 = 0.
-589811
Factor -2*u**4/5 - 9794*u**3/5 - 117312*u**2/5 - 70344*u.
-2*u*(u + 6)**2*(u + 4885)/5
Factor p**3 - 18923*p**2 + 89529443*p - 89510521.
(p - 9461)**2*(p - 1)
Factor -4*w**4 - 5316*w**3 - 1752876*w**2 + 8897780*w.
-4*w*(w - 5)*(w + 667)**2
Suppose 12*w**5 - 5811*w**4 - 10200*w**3 - 2919*w**2 + 1458*w = 0. Calculate w.
-1, 0, 1/4, 486
Solve -12*f**2 + 247480*f + 164992 = 0 for f.
-2/3, 20624
Factor 1755*s**2 - 8795*s + 100.
5*(s - 5)*(351*s - 4)
Solve -5*t**3 - 1410*t**2 - 96525*t + 408980 = 0.
-143, 4
Let 2*a**5/15 - 15404*a**4/15 = 0. What is a?
0, 7702
What is v in -4*v**5 + 436*v**4 - 2700*v**3 - 15700*v**2 - 21536*v - 8976 = 0?
-2, -1, 11, 102
Suppose 5*x**4 - 1290*x**3 + 2545*x**2 + 3840*x = 0. Calculate x.
-1, 0, 3, 256
Solve 2*p**5/3 + 28*p**4/3 - 88*p**3 - 876*p**2 + 4194*p - 3240 = 0.
-15, -12, 1, 3, 9
Factor -18*m**2 - 4039824*m - 226669138208.
-2*(3*m + 336652)**2
Find h, given that h**2/2 - 42895*h - 85791/2 = 0.
-1, 85791
Determine y so that -y**2 + 160*y + 161 = 0.
-1, 161
Factor 80*t**3 - 319400*t**2 - 159715*t - 19965.
5*(t - 3993)*(4*t + 1)**2
What is h in -h**3/5 - 4*h**2 + 9*h/5 + 36 = 0?
-20, -3, 3
Factor u**2/3 - 17*u - 1606/3.
(u - 73)*(u + 22)/3
Solve -5*y**2 + 25190*y = 0.
0, 5038
Factor 10*q**4 + 100995*q**3 + 338830290*q**2 + 373649396580*q - 13298358322440.
5*(q + 3378)**3*(2*q - 69)
Factor -5*s**4 + 525*s**3 - 3955*s**2 + 7275*s.
-5*s*(s - 97)*(s - 5)*(s - 3)
Factor 2*y**2 - 8114*y.
2*y*(y - 4057)
Solve 3*u**4 - 27*u**3 - 2865*u**2 - 16137*u 