**2*(m + 14)/2
Determine k, given that 21*k**4 - 345*k**3 + 1368*k**2 - 2004*k + 960 = 0.
1, 2, 80/7
Factor 2*m**2/9 - 1400*m/3 - 29498/9.
2*(m - 2107)*(m + 7)/9
Factor -2*g**3/5 + 128092*g**2/5 + 51238*g + 128096/5.
-2*(g - 64048)*(g + 1)**2/5
Suppose -2*n**2 + 25828*n - 25826 = 0. What is n?
1, 12913
Determine x, given that 3*x**3 + 96*x**2 + 15*x - 12750 = 0.
-25, -17, 10
Factor 3*k**2/5 + 996*k/5 - 20007/5.
3*(k - 19)*(k + 351)/5
Determine y, given that -2*y**2/5 - 134*y/5 + 4836/5 = 0.
-93, 26
Find t such that 4*t**5 - 5500*t**4 - 145224*t**3 - 672608*t**2 + 176768*t + 3586560 = 0.
-20, -4, 2, 1401
Factor -s**2 + 29357*s.
-s*(s - 29357)
Solve 10*z**5/17 + 786*z**4/17 + 13994*z**3/17 - 59434*z**2/17 - 45756*z/17 + 26896/17 = 0 for z.
-41, -1, 2/5, 4
Factor -2*f**2 + 316*f - 624.
-2*(f - 156)*(f - 2)
Find n, given that -16*n**5 + 1492*n**4 + 7564*n**3 - 11392*n**2 + 2352*n = 0.
-6, 0, 1/4, 1, 98
Factor 86*g**2 + 15454*g + 10740.
2*(g + 179)*(43*g + 30)
Solve -4*y**4 + 2568*y**3 + 15516*y**2 + 23312*y + 10368 = 0 for y.
-4, -1, 648
Determine m so that -39*m**2/2 + 3879*m/2 - 891 = 0.
6/13, 99
What is q in 24*q**5 - 940*q**4 - 5752*q**3 + 81036*q**2 - 162272*q - 63296 = 0?
-23/2, -1/3, 4, 43
Factor 3*b**3/5 + 534*b**2/5 + 2487*b/5 - 18684/5.
3*(b - 4)*(b + 9)*(b + 173)/5
Solve 2*u**5 - 24*u**4 + 46*u**3 + 72*u**2 = 0.
-1, 0, 4, 9
Determine s, given that 1485*s**4 - 6894*s**3 - 2643*s**2 - 60*s = 0.
-1/3, -4/165, 0, 5
Find n such that 2*n**2/7 - 3586344*n/7 + 1607732910792/7 = 0.
896586
Factor -a**2/2 - 7093*a/2 - 7091.
-(a + 2)*(a + 7091)/2
Find q, given that 4*q**2 - 3044*q + 6072 = 0.
2, 759
Let w**2 + 468643*w - 937290 = 0. What is w?
-468645, 2
Solve 2*h**2 - 46734*h = 0.
0, 23367
Factor 4*j**3 + 1212*j**2 - 136288*j + 525504.
4*(j - 84)*(j - 4)*(j + 391)
Find i such that -22*i**5/7 + 190*i**4/7 - 450*i**3/7 + 170*i**2/7 + 472*i/7 - 360/7 = 0.
-1, 1, 18/11, 2, 5
Find c such that -c**2/4 - 83*c - 6105 = 0.
-222, -110
Let -u**3 - 256*u**2 + 7227*u - 29610 = 0. What is u?
-282, 5, 21
Factor -2*z**2/3 + 8998*z.
-2*z*(z - 13497)/3
Let x**3 - 3362*x**2 - 47215*x - 165424 = 0. What is x?
-7, 3376
Find b, given that -2*b**2 - 8578*b - 272448 = 0.
-4257, -32
Solve -s**3/4 + 4645*s**2/4 - 18532*s + 74064 = 0.
8, 4629
What is t in 63*t**3 - 1815*t**2 + 4566*t + 936 = 0?
-4/21, 3, 26
Suppose 3*z**2 - 4026*z - 140352 = 0. Calculate z.
-34, 1376
Find u such that 35*u**5 - 74470*u**4 - 21280*u**3 = 0.
-2/7, 0, 2128
Factor 2*z**3/9 + 5198*z**2/3 - 3466*z + 15598/9.
2*(z - 1)**2*(z + 7799)/9
Determine h, given that 2*h**3 + 55570*h**2 + 111126*h - 166698 = 0.
-27783, -3, 1
Factor -r**2 - 1876472*r - 880286791696.
-(r + 938236)**2
Suppose 3*i**4 - 1065*i**3 + 87174*i**2 + 1335840*i - 1421952 = 0. What is i?
-14, 1, 184
Let -5*h**4 - 1810*h**3 + 1820*h**2 + 1810*h - 1815 = 0. Calculate h.
-363, -1, 1
What is z in -5*z**4 + 195*z**3 - 835*z**2 - 24195*z + 24840 = 0?
-9, 1, 23, 24
Solve 10*k**3 - 108758*k**2 - 239312*k - 43512 = 0.
-2, -1/5, 10878
Let -3*v**3/2 - 247*v**2/2 - 1301*v - 420 = 0. Calculate v.
-70, -12, -1/3
Solve 2*m**5 + 1060*m**4 + 140444*m**3 - 3184*m**2 - 423470*m - 280900 = 0 for m.
-265, -1, 2
Let -2*j**4 + 44*j**3 + 48*j**2 - 44*j - 46 = 0. Calculate j.
-1, 1, 23
Factor 3*j**2 - 3156*j + 61920.
3*(j - 1032)*(j - 20)
Factor -2*w**3 - 816*w**2 - 79002*w + 873620.
-2*(w - 10)*(w + 209)**2
What is d in -3*d**3 + 180*d**2 - 1689*d - 6768 = 0?
-3, 16, 47
Factor -q**2/3 - 27963*q + 167782/3.
-(q - 2)*(q + 83891)/3
Let t**3 + 386727*t**2 + 773451*t + 386725 = 0. Calculate t.
-386725, -1
Solve h**4 + 7662*h**3 - 15327*h**2 + 7664*h = 0 for h.
-7664, 0, 1
Factor -r**3 + 35*r**2 + 4553*r + 78213.
-(r - 93)*(r + 29)**2
Factor -4*d**3 + 21772*d**2 + 4*d - 21772.
-4*(d - 5443)*(d - 1)*(d + 1)
Determine w, given that -2*w**4 + 536*w**3 + 7830*w**2 + 18612*w = 0.
-11, -3, 0, 282
Let -5*t**3 + 3435*t**2 + 3440*t = 0. What is t?
-1, 0, 688
What is q in -2*q**4/3 - 510*q**3 - 294898*q**2/3 - 291338*q - 193548 = 0?
-381, -2, -1
Find j such that 2*j**2/3 - 230*j/3 - 1496 = 0.
-17, 132
Factor 5*d**2 + 220*d - 462705.
5*(d - 283)*(d + 327)
Suppose d**2 + 973*d + 19060 = 0. What is d?
-953, -20
Suppose 9*f**5 + 96*f**4 + 231*f**3 - 96*f**2 - 240*f = 0. What is f?
-20/3, -4, -1, 0, 1
Let 2*f**2/3 - 368*f/3 + 12320/3 = 0. What is f?
44, 140
Find a, given that -a**4 - 77*a**3 - 1152*a**2 - 2932*a - 1856 = 0.
-58, -16, -2, -1
Factor 3*m**2 - 5607*m + 5604.
3*(m - 1868)*(m - 1)
Suppose j**5/2 - 43*j**4 + 633*j**3/2 - 342*j**2 - 702*j = 0. What is j?
-1, 0, 3, 6, 78
Determine z, given that -2*z**5/11 - 36*z**4/11 = 0.
-18, 0
Factor 2*p**2/3 + 310*p/3 - 28600/3.
2*(p - 65)*(p + 220)/3
Factor -2*y**3/13 - 1290*y**2/13 - 276486*y/13 - 19684078/13.
-2*(y + 191)*(y + 227)**2/13
Solve 39*f**2 - 19713*f + 9090 = 0.
6/13, 505
What is f in f**3/2 + 1111*f**2 + 4441*f/2 + 1110 = 0?
-2220, -1
Factor 135*y**2 + 178260*y - 118900.
5*(3*y - 2)*(9*y + 11890)
What is f in 3*f**2 + 8019*f - 342090 = 0?
-2715, 42
Determine k so that k**4/7 + 2943*k**3/7 - 11789*k**2/7 - 2943*k/7 + 1684 = 0.
-2947, -1, 1, 4
Factor f**3 + 3552*f**2.
f**2*(f + 3552)
Factor t**5/8 + 93*t**4/8 + 933*t**3/4 + 7637*t**2/4 + 55125*t/8 + 71001/8.
(t + 3)*(t + 7)**3*(t + 69)/8
Determine r so that 16*r**5 + 11076*r**4 - 75520*r**3 - 19572*r**2 = 0.
-699, -1/4, 0, 7
Determine m, given that 170*m**3 - 12078*m**2 + 24028*m - 1104 = 0.
4/85, 2, 69
Factor -4*j**4 - 247568*j**3 - 5107657920*j**2 - 35130470513600*j - 70240512376000.
-4*(j + 2)*(j + 20630)**3
What is j in -4*j**2 + 391496*j + 2349120 = 0?
-6, 97880
Factor 15*a**2/2 + 1472538*a + 589014.
3*(a + 196338)*(5*a + 2)/2
Find l such that 4*l**3 + 4804*l**2 + 416604*l + 411804 = 0.
-1107, -93, -1
Suppose 2*p**2/17 - 33160*p/17 - 66328/17 = 0. What is p?
-2, 16582
Suppose -3*d**4 + 1710*d**3 - 13527*d**2 + 21936*d - 10116 = 0. What is d?
1, 6, 562
Factor 3*i**3 + 2222*i**2/3 + 135904*i/3 - 153760/3.
(i + 124)**2*(9*i - 10)/3
Find z, given that 4*z**5/3 - 48*z**4 + 240*z**3 = 0.
0, 6, 30
Factor -5*t**3 + 3085*t**2 - 474315*t - 477405.
-5*(t - 309)**2*(t + 1)
Factor 3*k**2/4 + 597*k/4 + 12267/2.
3*(k + 58)*(k + 141)/4
Suppose 3*p**4 + 36*p**3 - 411*p**2 - 144*p + 1596 = 0. What is p?
-19, -2, 2, 7
Determine v, given that v**2 + 539864*v + 72863284624 = 0.
-269932
Find i, given that -2*i**5/9 - 532*i**4 - 58114*i**3/3 + 179132*i**2/9 = 0.
-2357, -38, 0, 1
Solve -a**2 + 223118*a - 12445410481 = 0 for a.
111559
Factor 2*r**4/11 - 3546*r**3/11.
2*r**3*(r - 1773)/11
Factor -s**4/5 + 134*s**3/5 - 6612*s**2/5 + 28594*s - 1146283/5.
-(s - 47)*(s - 29)**3/5
Determine y so that -2*y**4 + 82*y**3 + 174*y**2 - 82*y - 172 = 0.
-2, -1, 1, 43
Solve -g**4/4 + 139*g**3/4 + 143*g**2/2 - 139*g - 282 = 0 for g.
-2, 2, 141
Let -4*v**2/7 + 2718136*v/7 - 2718132/7 = 0. Calculate v.
1, 679533
Factor -4*n**3 - 58732*n**2 - 58728*n.
-4*n*(n + 1)*(n + 14682)
Determine h, given that -63*h**2/4 + 681*h = 0.
0, 908/21
Suppose 8*c**5/5 + 2*c**4 - 312*c**3/5 + 872*c**2/5 - 704*c/5 = 0. Calculate c.
-8, 0, 2, 11/4
Factor -t**2/9 + 2206*t/3 + 4416.
-(t - 6624)*(t + 6)/9
Suppose -3*v**4/7 + 7113*v**3/7 + 49941*v**2/7 - 7113*v/7 - 7134 = 0. What is v?
-7, -1, 1, 2378
Factor 5*h**3/4 - 11065*h**2/2 + 44245*h/4 - 5530.
5*(h - 4424)*(h - 1)**2/4
Factor 2*l**2 + 13616*l - 13618.
2*(l - 1)*(l + 6809)
Determine j so that -2*j**3/7 + 76*j**2/7 + 722*j + 54872/7 = 0.
-19, 76
Find t, given that 2*t**3 + 5076*t**2 - 25430*t = 0.
-2543, 0, 5
Factor 80*l**3 - 9240*l**2 + 121365*l - 424705.
5*(l - 101)*(4*l - 29)**2
Factor -2*p**2/11 - 29416*p/11 + 29418/11.
-2*(p - 1)*(p + 14709)/11
Let 7*q**5/2 - 31831*q**4/2 + 18087395*q**3 + 12932238*q**2 - 5171076*q = 0. Calculate q.
-1, 0, 2/7, 2274
Find u such that 4*u**3 + 175208*u**2 + 1918702805*u + 1918527601 = 0.
-43801/2, -1
Determine d, given that 2*d**5/3 - 164*d**4 + 26662*d**3/3 - 25524*d**2 + 16800*d = 0.
0, 1, 2, 75, 168
Solve -2*n**4/13 + 3752*n**3/13 - 1755930*n**2/13 - 3526884*n/13 = 0 for n.
-2, 0, 939
Determine h, given that 2*h**2/7 + 11782*h/7 + 11780/7 = 0.
-5890, -1
Factor 110825*x**3 + 221660*x**2 + 110845*x + 10.
5*(x + 1)**2*(22165*x + 2)
Factor 2*q**5 - 16772*q**4 + 35329818*q**3 - 701572760*q**2 + 3499497800*q.
2*q*(q - 4183)**2*(q - 10)**2
Fa