(y - 1)/4
Determine h so that 4*h**2 - 4180*h - 85200 = 0.
-20, 1065
Factor 2*b**4 + 362*b**3 - 1104*b**2 + 8*b + 1472.
2*(b - 2)**2*(b + 1)*(b + 184)
Find p such that 2*p**2 + 4392*p - 13194 = 0.
-2199, 3
Factor 3*q**2/4 + 102327*q/2 + 3490271643/4.
3*(q + 34109)**2/4
Factor 4*p**2 - 318576*p + 318572.
4*(p - 79643)*(p - 1)
Suppose 245*u**5/2 - 22925*u**4/2 - 242005*u**3/2 + 421465*u**2/2 - 89720*u + 11330 = 0. What is u?
-11, 2/7, 1, 103
Suppose 2*a**2/5 - 13418*a/5 + 26828/5 = 0. Calculate a.
2, 6707
Let -2*h**2/3 - 4266688*h/3 - 2275578311168/3 = 0. What is h?
-1066672
Let 2*b**5 - 1738*b**4 - 14050*b**3 + 15786*b**2 = 0. What is b?
-9, 0, 1, 877
Suppose 23*y**4/2 + 165*y**3/4 + 12*y**2 - 71*y/4 = 0. Calculate y.
-71/23, -1, 0, 1/2
Factor 4*z**3 - 720*z**2 - 1252*z + 95568.
4*(z - 181)*(z - 11)*(z + 12)
Solve -3*a**3/2 - 99*a**2/2 + 1377*a - 5460 = 0.
-52, 5, 14
Find k, given that -121*k**5/5 + 9504*k**4/5 - 13561*k**3/5 - 13314*k**2 + 158564*k/5 - 90552/5 = 0.
-3, 14/11, 2, 77
Determine s, given that 2*s**3/13 - 4442*s**2/13 + 17736*s/13 = 0.
0, 4, 2217
Factor 3*j**3 + 22884*j**2 + 42851328*j - 3020649216.
3*(j - 68)*(j + 3848)**2
Factor 3*f**2/2 + 4485*f/2 + 11175.
3*(f + 5)*(f + 1490)/2
Solve -128*n**3 - 347432*n**2 - 108562*n - 5428 = 0 for n.
-2714, -1/4, -1/16
Solve q**4/6 - 13*q**3/2 + 185*q**2/6 + 157*q/2 - 231 = 0 for q.
-3, 2, 7, 33
What is a in -2*a**4/3 + 2602*a**3/3 - 377568*a**2 + 55613952*a - 268738560 = 0?
5, 432
Determine j, given that -6*j**5/11 - 126*j**4/11 + 210*j**3/11 + 15174*j**2/11 + 37596*j/11 - 243360/11 = 0.
-13, -8, 3, 10
Factor -j**2/2 - 321*j/2 + 2873.
-(j - 17)*(j + 338)/2
Factor l**2 - 148342*l - 148343.
(l - 148343)*(l + 1)
Solve 11*o**2/4 - 13943*o + 2535 = 0.
2/11, 5070
Factor -b**3 - 20257*b**2 - 323920*b - 1295424.
-(b + 8)**2*(b + 20241)
Determine p so that -2*p**2 - 1965076*p - 482690460722 = 0.
-491269
Find l, given that 15*l**5 - 65*l**4 + 65*l**3 + 45*l**2 - 80*l + 20 = 0.
-1, 1/3, 1, 2
Factor 2*x**4/11 + 16052*x**3/11 + 144360*x**2/11 + 432972*x/11 + 432918/11.
2*(x + 3)**3*(x + 8017)/11
Factor -2*m**3/3 - 106*m**2 - 1822*m/3 + 714.
-2*(m - 1)*(m + 7)*(m + 153)/3
Factor t**4 - 125*t**3 + 1254*t**2.
t**2*(t - 114)*(t - 11)
Factor 2*r**4/5 - 18538*r**3/5 - 3708*r**2.
2*r**2*(r - 9270)*(r + 1)/5
Factor -q**3 + 105*q**2 + 222*q - 856.
-(q - 107)*(q - 2)*(q + 4)
Factor -4*x**2 + 7220*x + 1105896.
-4*(x - 1947)*(x + 142)
Solve -2*d**5 + 570*d**4 - 2254*d**3 + 1678*d**2 + 2256*d - 2248 = 0 for d.
-1, 1, 2, 281
Solve -7*b**5/5 - 362*b**4/5 - 3501*b**3/5 + 16934*b**2/5 + 14608*b/5 - 5472/5 = 0 for b.
-36, -19, -1, 2/7, 4
Suppose -5*z**4 + 80210*z**3 - 323122745*z**2 + 11554571340*z - 103757774580 = 0. Calculate z.
18, 8003
Let 5*n**3 - 3915*n**2 - 19730*n + 23640 = 0. Calculate n.
-6, 1, 788
Solve z**4/5 - 628*z**3/5 - 2527*z**2/5 - 638*z/5 + 3792/5 = 0 for z.
-3, -2, 1, 632
Let -6*p**2/11 - 7560*p/11 + 417534/11 = 0. Calculate p.
-1313, 53
Factor -u**2/4 - 31423*u/4 + 7856.
-(u - 1)*(u + 31424)/4
Suppose 2*c**3 + 564*c**2 - 5840*c = 0. What is c?
-292, 0, 10
Determine d, given that -d**3/5 + 808*d**2/5 + 5713*d/5 - 1304 = 0.
-8, 1, 815
Solve 4*q**4 - 5132*q**3 + 1627860*q**2 + 11803500*q - 49923000 = 0.
-10, 3, 645
Solve 4*p**3/3 - 3636*p**2 + 21788*p/3 + 10900 = 0.
-1, 3, 2725
Factor -2430*j**3 - 12625*j**2 - 21340*j - 11620.
-5*(j + 2)**2*(486*j + 581)
Let -14*h**5/5 + 2*h**4 + 438*h**3/5 + 1118*h**2/5 + 872*h/5 + 168/5 = 0. What is h?
-3, -2, -1, -2/7, 7
Let -4*s**4 + 9904*s**3 + 39684*s**2 - 9904*s - 39680 = 0. What is s?
-4, -1, 1, 2480
What is q in q**2/3 + 3528*q - 31779 = 0?
-10593, 9
Find r such that -8*r**3 - 38016*r**2 + 38022*r - 9506 = 0.
-4753, 1/2
Suppose -2*a**5 + 13068*a**4 - 21372698*a**3 + 85334040*a**2 - 85281800*a = 0. Calculate a.
0, 2, 3265
Determine b so that -2*b**5 - 198*b**4 + 830*b**3 + 598*b**2 - 2076*b - 1648 = 0.
-103, -1, 2, 4
Suppose 5*n**5 - 45355*n**4 + 272015*n**3 - 589285*n**2 + 543920*n - 181300 = 0. Calculate n.
1, 2, 9065
Let -n**3/9 - 43*n**2 - 890*n/3 - 3800/9 = 0. Calculate n.
-380, -5, -2
Determine q, given that -q**2/6 + 55*q/2 + 20468/3 = 0.
-136, 301
Suppose 2*v**2/5 + 5146*v - 231732/5 = 0. Calculate v.
-12874, 9
Let 128*y**5/9 + 3968*y**4 + 35624*y**3/9 + 1236*y**2 + 1112*y/9 = 0. Calculate y.
-278, -1/2, -1/4, 0
Suppose -2*u**2 - 150800*u - 150798 = 0. What is u?
-75399, -1
Factor -f**3 - 2408*f**2 - 2407*f.
-f*(f + 1)*(f + 2407)
Find j such that -4*j**4/3 - 316*j**3/3 + 8680*j**2/3 + 28192*j/3 + 6400 = 0.
-100, -2, -1, 24
Suppose l**3 + 204*l**2 - 619*l + 414 = 0. Calculate l.
-207, 1, 2
Determine r, given that 14*r**2/5 + 18062*r/5 - 84032 = 0.
-1313, 160/7
Factor -2*f**2/9 + 935552*f/9 - 109407193088/9.
-2*(f - 233888)**2/9
Factor -2*y**3 - 77556*y**2 - 751789080*y + 1503888400.
-2*(y - 2)*(y + 19390)**2
Solve 3*b**5/7 + 327*b**4/7 + 633*b**3/7 - 141*b**2 - 2580*b/7 - 1284/7 = 0.
-107, -2, -1, 2
Let 37*o**5/2 - 595*o**4/3 + 675*o**3/2 + 3425*o**2/3 - 926*o + 140/3 = 0. What is o?
-2, 2/37, 2/3, 5, 7
Factor v**2/6 + 1136*v/3 + 2266.
(v + 6)*(v + 2266)/6
Solve v**5 - 117*v**4 - 1680*v**3 - 1324*v**2 + 3120*v = 0.
-12, -2, 0, 1, 130
Factor w**2/8 - 19373*w + 750626258.
(w - 77492)**2/8
Factor -2*k**2/5 + 3326*k/5 + 386296/5.
-2*(k - 1772)*(k + 109)/5
Let -b**3/2 + 358*b**2 - 71426*b + 4355424 = 0. What is b?
142, 432
Factor 6*z**3/11 - 154464*z**2/11 - 617928*z/11 - 617952/11.
6*(z - 25748)*(z + 2)**2/11
Factor 2*s**3 - 316*s**2 - 1968*s.
2*s*(s - 164)*(s + 6)
Factor 2*b**2 - 233344*b - 933408.
2*(b - 116676)*(b + 4)
Factor -4*f**2/3 - 96464*f/3 - 581581456/3.
-4*(f + 12058)**2/3
Let -2*n**4 + 416*n**3 + 6216*n**2 = 0. What is n?
-14, 0, 222
Determine j so that 3*j**3 + 17073*j**2 + 85290*j = 0.
-5686, -5, 0
Find w, given that -2*w**2 - 1446*w + 13176 = 0.
-732, 9
Suppose -35*n**4 - 500*n**3 - 330*n**2 + 13500*n + 13365 = 0. Calculate n.
-9, -1, 33/7
Let 5*o**5/3 + 55*o**4/3 - 1525*o**3/3 + 615*o**2 + 7380*o - 15840 = 0. Calculate o.
-24, -4, 3, 11
Determine t so that 3*t**3/4 - 5952*t**2 + 47607*t/4 - 11901/2 = 0.
1, 7934
Find b, given that 6*b**2 - 171*b + 1173 = 0.
23/2, 17
Let -2*t**2/15 - 638*t/15 - 1252/5 = 0. Calculate t.
-313, -6
Solve -z**2/2 - 1475*z - 156200 = 0 for z.
-2840, -110
Factor -68*l**2 + 85732*l + 20176.
-4*(l - 1261)*(17*l + 4)
Factor d**4/9 - 49*d**3/3 + 625*d**2 - 45725*d/9 + 11750.
(d - 90)*(d - 47)*(d - 5)**2/9
Let -2*f**4 - 318*f**3 + 972*f**2 = 0. What is f?
-162, 0, 3
Let 4802*j**5 - 784*j**4 - 14374*j**3 + 11956*j**2 - 1664*j + 64 = 0. What is j?
-2, 4/49, 1
Let -c**3/4 - 751*c**2/2 - 16411*c/4 - 7455/2 = 0. What is c?
-1491, -10, -1
Suppose -2*o**2/7 + 3226*o/7 - 4580 = 0. What is o?
10, 1603
Determine q so that 2*q**3/5 - 150*q**2 + 8776*q/5 - 23232/5 = 0.
4, 8, 363
Solve -d**2/8 - 3209*d/8 + 3211/4 = 0 for d.
-3211, 2
Suppose -4*j**4 - 140*j**3 + 32704*j**2 - 32560*j = 0. What is j?
-110, 0, 1, 74
Determine r, given that -5*r**2 - 66440*r - 220713680 = 0.
-6644
Suppose q**3/5 + 3*q**2 - 94*q/5 + 24 = 0. Calculate q.
-20, 2, 3
Factor 44*n**2/3 + 483*n - 33.
(n + 33)*(44*n - 3)/3
Find u, given that 8*u**5/3 - 6*u**4 - 40*u**3/3 + 30*u**2 + 32*u/3 - 24 = 0.
-2, -1, 1, 2, 9/4
Find s such that 5*s**4/3 - 56987*s**3/3 + 54138598*s**2 - 227293220*s/3 + 64934408/3 = 0.
2/5, 1, 5698
Factor -u**2/3 - 721*u/3 + 1454.
-(u - 6)*(u + 727)/3
Determine f, given that 6*f**2/7 + 1000434*f/7 - 142920 = 0.
-166740, 1
Solve 602768920000*d**5 - 4219016386000*d**4 + 7230664736100*d**3 + 4392129305*d**2 + 889165*d + 60 = 0 for d.
-1/4940, 3, 4
Factor -2*m**2/3 + 13540*m/3 - 148214.
-2*(m - 6737)*(m - 33)/3
Find n, given that -2*n**2 + 12496*n - 12494 = 0.
1, 6247
Factor -j**3/4 + 269*j**2/4 + 283*j/2 - 1626.
-(j - 271)*(j - 4)*(j + 6)/4
Suppose w**4/3 + 676*w**3/3 + 3298*w**2/3 - 12716*w + 22143 = 0. What is w?
-671, -11, 3
Solve m**4/6 + 451*m**3/6 + 8437*m**2 - 25990*m/3 - 51076/3 = 0 for m.
-226, -1, 2
Find r such that -3*r**5/2 - 2907*r**4/2 - 17184*r**3 + 40194*r**2 = 0.
-957, -14, 0, 2
Solve -92*a**4 - 36*a**3 + 588*a**2 + 916*a + 384 = 0.
-32/23, -1, 3
Factor -5*t**4 + 240*t**3 - 2385*t**2 - 9450*t.
-5*t*(t - 30)*(t - 21)*(t + 3)
Suppose -2*d**2 + 8512*d + 8514 = 0. Calculate d.
-1, 4257
Solve -4*a**4 + 52*a**3 + 64*a**2 - 112*a = 0.