62, 84
Solve 5*n**2 - 10220*n + 5222420 = 0 for n.
1022
Solve -242*c**4/7 - 30756*c**3/7 - 1267778*c**2/7 - 18464784*c/7 - 87225632/7 = 0 for c.
-52, -127/11
Factor 2*l**2/7 + 68504*l/7 + 205494/7.
2*(l + 3)*(l + 34249)/7
Determine k, given that 3*k**2 - 945342*k + 74472624747 = 0.
157557
What is z in 18760*z**3 - 544045*z**2 + 1013185*z - 270 = 0?
1/3752, 2, 27
Factor 4*g**2/3 - 812*g + 37952/3.
4*(g - 593)*(g - 16)/3
What is o in -3*o**2/2 - 2751*o/2 - 311040 = 0?
-512, -405
Factor r**2/3 + 362*r + 98283.
(r + 543)**2/3
What is c in c**4 - 1338*c**3 + 3996*c**2 + 12010*c + 6675 = 0?
-1, 5, 1335
Factor 5*v**3 - 875*v**2 + 21560*v - 144060.
5*(v - 147)*(v - 14)**2
What is o in -o**3/7 - 195*o**2/7 + 198*o/7 + 56 = 0?
-196, -1, 2
Factor -4*x**2 - 408*x + 99820.
-4*(x - 115)*(x + 217)
Let -14*g**5/23 - 3294*g**4/23 - 46678*g**3/23 + 88334*g**2/23 - 23388*g/23 - 14960/23 = 0. Calculate g.
-220, -17, -2/7, 1
Determine m, given that -5*m**3 - 1805*m**2 - 20875*m + 22685 = 0.
-349, -13, 1
Determine n so that 10*n**4 - 47*n**3 - 195*n**2 + 666*n + 216 = 0.
-4, -3/10, 3, 6
Find f such that -2437890625*f**2/3 - 197500*f/3 - 4/3 = 0.
-2/49375
Factor -10*g**2 - 1214*g + 732.
-2*(g + 122)*(5*g - 3)
Suppose -15*g**5 - 965*g**4 - 7955*g**3 - 14095*g**2 - 3850*g = 0. Calculate g.
-55, -7, -2, -1/3, 0
Solve j**2/2 + 42664*j + 910108448 = 0 for j.
-42664
Let 14678*a**4 + 117420*a**3 + 220138*a**2 - 60*a = 0. What is a?
-5, -3, 0, 2/7339
Factor -3*n**3/2 - 597*n**2 - 78144*n - 3351312.
-3*(n + 102)*(n + 148)**2/2
Suppose 2*m**3 - 351598*m**2 + 15452468400*m + 15452820000 = 0. What is m?
-1, 87900
Determine h, given that -2*h**2/9 + 81292*h/9 + 162608/3 = 0.
-6, 40652
Solve 2*z**2/3 - 16274*z/3 = 0 for z.
0, 8137
Determine x, given that x**3/3 + 170*x**2/3 + 4883*x/3 - 5054/3 = 0.
-133, -38, 1
Let 2*o**3/5 + 2296*o**2/5 - 920*o = 0. Calculate o.
-1150, 0, 2
Factor h**3/2 + 225*h**2/2 + 1186*h + 1926.
(h + 2)*(h + 9)*(h + 214)/2
Determine w so that -2*w**2/3 - 83960*w - 2643480600 = 0.
-62970
Factor 123*d**3 - 37521*d**2 - 35808*d + 1836.
3*(d - 306)*(d + 1)*(41*d - 2)
Factor 7*n**2 - 59*n - 110.
(n - 10)*(7*n + 11)
What is p in 820*p**3 - 254208*p**2 - 252540*p + 2488 = 0?
-1, 2/205, 311
Factor 4*h**3 + 15864*h**2 + 15760836*h + 62789776.
4*(h + 4)*(h + 1981)**2
Suppose 5*m**2 - 25820*m + 488775 = 0. Calculate m.
19, 5145
Factor 3*m**3 + 133059*m**2 + 1475457984*m + 1475324928.
3*(m + 1)*(m + 22176)**2
Factor -3370*g**2 + 6*g.
-2*g*(1685*g - 3)
Solve -3*u**3 + 5250*u**2 + 68757*u = 0.
-13, 0, 1763
Suppose 4*q**3/3 + 1674*q**2 + 7520*q/3 - 1672 = 0. What is q?
-1254, -2, 1/2
Factor 3*v**3/2 + 663*v**2/2 - 10044*v.
3*v*(v - 27)*(v + 248)/2
Suppose -3*q**4 + 359742*q**3 + 3237840*q**2 + 9713682*q + 9713763 = 0. What is q?
-3, 119923
Solve -55*n**4 + 2925*n**3 - 42275*n**2 + 108075*n - 18270 = 0.
2/11, 3, 21, 29
Factor -12*u**2 - 866961*u + 216741.
-3*(u + 72247)*(4*u - 1)
Factor 44*m**2 - 6124*m + 1112.
4*(m - 139)*(11*m - 2)
Let 2*g**3 - 15342*g**2 + 611280*g - 6104800 = 0. What is g?
20, 7631
Factor -3*f**3/2 - 92*f**2/3 + 3*f/2 + 92/3.
-(f - 1)*(f + 1)*(9*f + 184)/6
Factor -4*r**2 - 788*r + 9152.
-4*(r - 11)*(r + 208)
Solve l**2/3 - 11888*l/3 + 7924 = 0.
2, 11886
Suppose -s**3/2 - 281*s**2/2 + 425*s - 284 = 0. Calculate s.
-284, 1, 2
Let -3*z**3/2 - 1455*z**2/2 + 8988*z + 20874 = 0. What is z?
-497, -2, 14
Solve 3*t**4 + 5016*t**3 + 2807190*t**2 + 532267200*t + 3590031375 = 0.
-555, -7
Factor 4*w**3/7 - 754444*w**2/7 + 5081961728*w + 35574486544/7.
4*(w - 94306)**2*(w + 1)/7
Determine j, given that 2*j**5/3 - 342*j**4 + 52544*j**3 - 6693824*j**2/3 + 29349376*j - 27170304 = 0.
1, 28, 228
Determine q, given that -2*q**3/3 - 18*q**2 + 2498*q/3 + 850 = 0.
-51, -1, 25
Factor -5*g**3 + 270*g**2 + 39935*g - 40200.
-5*(g - 120)*(g - 1)*(g + 67)
What is z in -5*z**4 - 8890*z**3 - 88525*z**2 - 221000*z = 0?
-1768, -5, 0
Factor j**2/4 + 13937*j/2 + 194239969/4.
(j + 13937)**2/4
Find a, given that -4*a**4 + 7348*a**3 + 51584*a**2 + 88512*a = 0.
-4, -3, 0, 1844
Factor v**3/5 + 806*v**2/5 + 7151*v/5 - 17534/5.
(v - 2)*(v + 11)*(v + 797)/5
What is y in -y**4/4 - 2723*y**3/2 + 4086*y**2 - 8173*y/2 + 5449/4 = 0?
-5449, 1
Suppose -b**4 - 6511*b**3/4 + 5298*b**2 - 17939*b/4 + 1631/2 = 0. What is b?
-1631, 1/4, 1, 2
Factor -g**3 + 943*g**2 + 167717*g + 6871341.
-(g - 1101)*(g + 79)**2
Factor 2*x**3/3 + 5914*x**2/3 - 11834*x/3 + 5918/3.
2*(x - 1)**2*(x + 2959)/3
Find d such that -3*d**3/5 + 291*d**2/5 - 1116*d/5 = 0.
0, 4, 93
Factor 3*g**2 + 10836*g + 32481.
3*(g + 3)*(g + 3609)
Factor -5*h**3/3 - 31610*h**2/3 - 16386660*h + 845883000.
-5*(h - 50)*(h + 3186)**2/3
What is s in -2*s**5/7 + 2*s**4 + 158*s**3/7 - 2*s**2 - 156*s/7 = 0?
-6, -1, 0, 1, 13
Factor -3*a**3/8 + 20893*a**2/8 - 1741*a/2.
-a*(a - 6964)*(3*a - 1)/8
Solve 97*m**2 - 8049*m - 166 = 0.
-2/97, 83
What is c in -28*c**5 + 34252*c**4 - 10428388*c**3 - 28519196*c**2 - 12044224*c + 6012304 = 0?
-2, -1, 2/7, 613
Suppose 3*x**2/8 - 20901*x/2 - 83607/8 = 0. Calculate x.
-1, 27869
Find n such that -2*n**3/19 - 66*n**2 - 33544*n/19 = 0.
-599, -28, 0
Factor -3*i**2/4 + 3681*i/4 - 3675/2.
-3*(i - 1225)*(i - 2)/4
Determine x so that -x**4/2 - 1835*x**3/4 + 61783*x**2/4 + 15675*x/2 = 0.
-950, -1/2, 0, 33
Solve -3*f**3 + 4284*f**2 - 1542159*f + 9099378 = 0 for f.
6, 711
Factor 2*w**2 + 61070*w.
2*w*(w + 30535)
Factor i**3/4 + 343947*i**2/4.
i**2*(i + 343947)/4
Factor i**4 - 1084*i**3 - 10915*i**2 - 27350*i.
i*(i - 1094)*(i + 5)**2
Determine f, given that 2*f**2/7 + 5504*f - 192690/7 = 0.
-19269, 5
Factor -326*f**2/7 + 879224*f/7 - 5394/7.
-2*(f - 2697)*(163*f - 1)/7
Factor z**3/2 + 371*z**2/2 - 20976*z + 20790.
(z - 90)*(z - 1)*(z + 462)/2
Factor -k**3/4 - 28*k**2 - 781*k/4 + 75615/2.
-(k - 30)*(k + 71)**2/4
Determine k, given that -105*k**5 - 1075*k**4 - 2960*k**3 - 1360*k**2 = 0.
-17/3, -4, -4/7, 0
Solve -m**2/3 + 23300*m - 139796/3 = 0.
2, 69898
Factor -5*o**3 - 73150*o**2 - 584835*o + 657990.
-5*(o - 1)*(o + 9)*(o + 14622)
Let 68*p**5 + 666*p**4 - 2702*p**3 - 10344*p**2 + 5760*p = 0. What is p?
-12, -3, 0, 1/2, 80/17
Solve -993*q**5 - 6939*q**4 + 42783*q**3 - 17397*q**2 - 65334*q + 792 = 0.
-11, -1, 4/331, 2, 3
What is r in -3*r**5/4 - 66*r**4 + 585*r**3/4 + 2031*r**2/2 + 255*r - 1350 = 0?
-90, -2, 1, 5
Let -432*v**4/5 - 2731896*v**3/5 - 4318786083*v**2/5 + 719854596*v/5 - 29994732/5 = 0. What is v?
-3162, 1/12
Solve 9*s**4 + 5250*s**3 - 167259*s**2 + 1352520*s - 828900 = 0.
-614, 2/3, 15
Factor 2*w**3 + 170708*w**2 + 3642652658*w.
2*w*(w + 42677)**2
Factor 2*l**2/11 - 509812*l/11 + 32488534418/11.
2*(l - 127453)**2/11
Solve -5*v**2 + 5*v + 219450 = 0.
-209, 210
Determine f so that -4*f**4/11 - 125*f**3/11 - 988*f**2/11 - 147*f/11 + 720/11 = 0.
-16, -15, -1, 3/4
Determine a so that 21*a**3 + 654*a**2 + 1896*a + 1344 = 0.
-28, -2, -8/7
Determine h, given that 5*h**3/2 - 2605*h**2/2 - 10540*h - 21160 = 0.
-4, 529
Factor 3*g**4 + 18192*g**3 - 861651*g**2.
3*g**2*(g - 47)*(g + 6111)
Factor 5*x**2 - 13840*x + 27660.
5*(x - 2766)*(x - 2)
Suppose 3*b**2 - 314862*b + 8261506587 = 0. Calculate b.
52477
Factor -h**5/7 + 17*h**4/7 - 45*h**3/7 + 43*h**2/7 - 2*h.
-h*(h - 14)*(h - 1)**3/7
Suppose -2*k**5/17 + 460*k**4/17 - 15522*k**3/17 - 50752*k**2/17 - 1864*k/17 + 67680/17 = 0. What is k?
-2, 1, 45, 188
Let -4*j**4 + 180*j**3 - 2188*j**2 + 4428*j + 6800 = 0. What is j?
-1, 4, 17, 25
Suppose -3*j**3 - 71400*j**2 - 425471871*j - 7635377574 = 0. What is j?
-11891, -18
Solve 4*v**3 - 224*v**2 - 444*v + 57240 = 0 for v.
-15, 18, 53
Factor i**2/5 - 4044*i/5 + 7263.
(i - 4035)*(i - 9)/5
Find r, given that -4*r**5 + 589*r**4 - 16711*r**3 + 35521*r**2 - 23245*r + 3850 = 0.
1/4, 1, 35, 110
Factor -5*s**3/2 - 1135*s**2/2 + 4080*s - 3510.
-5*(s - 6)*(s - 1)*(s + 234)/2
Let -2523*q**5/5 + 96222*q**4/5 + 85161*q**3/5 - 13116*q**2/5 + 468*q/5 = 0. What is q?
-1, 0, 2/29, 39
Find o such that o**2/5 + 1656*o = 0.
-8280, 0
Suppose -2*x**5/11 + 524*x**4/11 - 4512*x**3/11 - 964*x**2 - 506*x = 0. What is x?
-1, 0, 11, 253
Suppose -939*s**3 + 16899*s**2 - 76005*s - 243 = 0. What is s?
-1/313, 9
Factor 2*n**3/7 - 1340*n**2/7 + 1334*n/7 + 2676/7.
2*(n - 669)*(n - 2)*(n + 1)/7
Suppose -4*p**2/5 - 228824*p/5 - 3272526436/5 = 0. What is p?
-28603
Suppose -159*u**2