9989*y/2 - 19997.
(y - 19997)*(y + 1)*(y + 2)/2
Factor 4*q**2 - 140*q + 136.
4*(q - 34)*(q - 1)
Factor 4*q**3 + 203380*q**2 - 203384*q.
4*q*(q - 1)*(q + 50846)
Suppose -4*c**2 - 9692*c - 1705248 = 0. Calculate c.
-2232, -191
Factor -3*w**2/4 - 422271*w/4 + 422283.
-3*(w - 4)*(w + 140761)/4
Let -3*d**3 + 717*d**2 + 158175*d + 6564375 = 0. What is d?
-75, 389
Suppose 2*l**3/9 + 1394*l**2/3 + 4180*l/9 = 0. What is l?
-2090, -1, 0
Solve t**2/4 - 772633*t/4 = 0.
0, 772633
Factor -2*z**3 - 542*z**2 - 39990*z - 432666.
-2*(z + 13)*(z + 129)**2
Factor -4*l**3 + 564*l**2 - 18920*l.
-4*l*(l - 86)*(l - 55)
Determine c, given that -1435*c**4/6 - 1139*c**3/3 - 101*c**2/2 + 244*c/3 - 26/3 = 0.
-1, 26/205, 2/7
Factor x**2/3 - 569*x + 122220.
(x - 1455)*(x - 252)/3
Determine s so that 4*s**3 - 980*s**2 + 66700*s - 793500 = 0.
15, 115
Factor 2*p**2/7 + 1996*p/7 + 31424/7.
2*(p + 16)*(p + 982)/7
Suppose q**5/4 + 193*q**4/4 + 569*q**3/4 - 193*q**2/4 - 285*q/2 = 0. What is q?
-190, -3, -1, 0, 1
Factor -26*i**2 - 348*i + 1278.
-2*(i - 3)*(13*i + 213)
Suppose z**3/3 - 4745*z**2/3 = 0. What is z?
0, 4745
Find g, given that -g**5/5 - 873*g**4 - 4778563*g**3/5 - 33306027*g**2/5 - 76020952*g/5 - 56976492/5 = 0.
-2179, -3, -2
Solve 4*c**5 - 833*c**4/2 + 2424*c**3 - 4513*c**2/2 + 245*c = 0 for c.
0, 1/8, 1, 5, 98
Determine s, given that s**3 - 5892*s**2 - 118140*s - 591200 = 0.
-10, 5912
Factor -5*f**3 + 15*f**2 + 45*f + 25.
-5*(f - 5)*(f + 1)**2
Determine f so that 4*f**3 - 81*f**2 + 353*f + 312 = 0.
-3/4, 8, 13
Factor 5*p**3 + 375*p**2 - 22230*p.
5*p*(p - 39)*(p + 114)
Let -2*v**5/9 + 3476*v**4/3 - 41690*v**3/9 + 17368*v**2/3 - 20840*v/9 = 0. What is v?
0, 1, 2, 5210
Find s, given that -s**3/6 + 6694*s**2 + 26777*s/2 + 20083/3 = 0.
-1, 40166
Factor m**3 + 77*m**2 - 9805*m + 206719.
(m - 37)**2*(m + 151)
Factor 7*t**4/6 + 2781*t**3 + 1656880*t**2 - 1420864*t/3.
t*(t + 1192)**2*(7*t - 2)/6
Determine v so that -v**3/9 - 1435*v**2/9 + 10094*v/9 = 0.
-1442, 0, 7
Suppose -3*o**4/7 - 2865*o**3/7 - 28089*o**2/7 + 246213*o/7 - 58320 = 0. What is o?
-945, -16, 3
Factor -2*z**2/13 - 16538*z/13 + 149004/13.
-2*(z - 9)*(z + 8278)/13
Let 4*v**4/7 - 12496*v**3/7 = 0. What is v?
0, 3124
Suppose x**5/10 - 149*x**4/10 + 625*x**3 - 4833*x**2 - 143451*x/10 + 185679/10 = 0. Calculate x.
-3, 1, 13, 69
Suppose z**3 - 188*z**2 - 201*z + 2268 = 0. What is z?
-4, 3, 189
Let 68*c**5 + 1052*c**4 + 1452*c**3 - 19148*c**2 + 29392*c - 12816 = 0. What is c?
-178/17, -9, 1, 2
Let -3*x**4/4 + 327*x**3/4 + 1341*x**2/4 + 1689*x/4 + 339/2 = 0. What is x?
-2, -1, 113
Factor -a**2/3 - 329*a/3 - 5168.
-(a + 57)*(a + 272)/3
Solve -5*r**3 + 45795*r**2 - 104836200*r - 104882000 = 0 for r.
-1, 4580
Let x**2/4 + 1297*x/4 - 2282 = 0. What is x?
-1304, 7
Suppose 3*s**5/4 - 11*s**4/2 - 85*s**3/4 + 11*s**2 + 15*s = 0. What is s?
-3, -2/3, 0, 1, 10
Determine i so that -2*i**3 + 6696*i**2 - 5557386*i - 79121308 = 0.
-14, 1681
What is f in -3*f**3 + 4860*f**2 + 98100*f + 492000 = 0?
-10, 1640
Factor -2*r**4/3 - 14*r**3 - 66*r**2 - 90*r.
-2*r*(r + 3)**2*(r + 15)/3
Factor -4*r**5 + 292*r**4 + 9828*r**3 + 94284*r**2 + 291600*r.
-4*r*(r - 100)*(r + 9)**3
Let 2*t**2/3 - 96946*t/3 - 32316 = 0. What is t?
-1, 48474
Determine p, given that p**5/3 + 38*p**4 - 1400*p**3/3 - 1046*p**2 - 1625*p/3 = 0.
-125, -1, 0, 13
Factor -w**2/2 + 53616*w + 107234.
-(w - 107234)*(w + 2)/2
Factor -3*f**3/7 + 461*f**2/7 - 16160*f/7 - 121600/7.
-(f - 80)**2*(3*f + 19)/7
Solve y**2 - 10434*y + 27217089 = 0.
5217
Solve -4*h**4/7 + 124448*h**3/7 - 124428*h**2/7 - 497792*h/7 + 497776/7 = 0.
-2, 1, 2, 31111
Solve 3*j**3 + 432*j**2 - 12243*j + 73008 = 0.
-169, 9, 16
Factor -2*b**3/9 + 38*b**2/9 - 196*b/9 + 160/9.
-2*(b - 10)*(b - 8)*(b - 1)/9
Suppose -5*a**2/2 + 156185*a/2 + 156195 = 0. What is a?
-2, 31239
Factor 2*h**4/3 + 55280*h**3/3 + 382537000*h**2/3 + 7628644000*h/3.
2*h*(h + 20)*(h + 13810)**2/3
Factor 22*w**3 + 878*w**2 + 6296*w + 5440.
2*(w + 1)*(w + 8)*(11*w + 340)
Solve -3*j**5 + 39237*j**4 - 126894810*j**3 - 9157039050*j**2 - 167902651875*j - 158872546875 = 0.
-35, -1, 6575
Solve 104*t**5 + 2708*t**4 + 20072*t**3 + 30720*t**2 + 1152*t = 0.
-12, -2, -1/26, 0
Factor q**3 - 1059*q**2 + 293139*q - 6682225.
(q - 517)**2*(q - 25)
Suppose -t**2/2 + 7877*t/2 = 0. Calculate t.
0, 7877
Let -4*t**3 - 14348*t**2 + 28712*t = 0. What is t?
-3589, 0, 2
Solve -5*b**4 - 85*b**3 + 1470*b**2 + 3240*b = 0.
-27, -2, 0, 12
Factor 43*x**3 - 4858*x**2 - 76567*x - 1778.
(x - 127)*(x + 14)*(43*x + 1)
Let -188*i**2/5 - 58288*i/5 - 496 = 0. What is i?
-310, -2/47
Factor f**4/5 + 100677*f**3 + 1510149*f**2/5 + 1510147*f/5 + 503382/5.
(f + 1)**3*(f + 503382)/5
Factor -2*z**2/3 - 374*z/3 + 4340.
-2*(z - 30)*(z + 217)/3
Let 3*j**4 + 1059*j**3 - 9705*j**2 + 24933*j - 16290 = 0. Calculate j.
-362, 1, 3, 5
Factor 2*c**2/11 - 26936*c/11 + 9792.
2*(c - 13464)*(c - 4)/11
Factor -l**3/8 - 609*l**2/2 - 1481085*l/8 + 1485961/4.
-(l - 2)*(l + 1219)**2/8
Solve -3*d**4 - 47541*d**3 - 190125*d**2 - 142587*d = 0 for d.
-15843, -3, -1, 0
Suppose 14*t**3/3 - 223640*t**2/3 + 893154262*t/3 - 255168676/3 = 0. What is t?
2/7, 7987
Let 27*p**5/2 + 30879*p**4/2 - 255720*p**3 + 69798*p**2 + 229584*p - 111360 = 0. What is p?
-1160, -1, 2/3, 16
Factor -h**2/6 + 6664*h/3.
-h*(h - 13328)/6
Let 35*q**5 - 640*q**4 - 940*q**3 + 41270*q**2 + 29705*q - 11830 = 0. Calculate q.
-7, -1, 2/7, 13
What is o in -o**2/7 - 5602*o/7 - 103911 = 0?
-5469, -133
Factor j**5 - 352*j**4 + 2722*j**3 + 10288*j**2 + 10997*j + 3784.
(j - 344)*(j - 11)*(j + 1)**3
Factor 3*u**2/5 + 145581*u/5 + 436716/5.
3*(u + 3)*(u + 48524)/5
Solve -y**4/3 + 11*y**3/3 + 2935*y**2/3 - 11867*y/3 - 4930 = 0.
-51, -1, 5, 58
Find r, given that 2*r**3/11 - 408398*r**2/11 + 20848819998*r/11 - 20848411602/11 = 0.
1, 102099
Determine d so that -85*d**2 + 13365*d - 3140 = 0.
4/17, 157
Factor 3*s**3/2 + 23112*s**2 + 178008615*s/2 - 178101075.
3*(s - 2)*(s + 7705)**2/2
Factor -4*d**2 + 74968*d - 351262564.
-4*(d - 9371)**2
Factor -6*r**2/13 - 63710*r/13 + 42476/13.
-2*(r + 10619)*(3*r - 2)/13
Factor -4*x**3 - 492*x**2 + 21424*x - 109968.
-4*(x - 29)*(x - 6)*(x + 158)
Factor 3*o**3/5 + 666*o**2/5 + 6699*o.
3*o*(o + 77)*(o + 145)/5
Let 3*n**5/8 + 4563*n**4/4 - 18267*n**3/8 - 4563*n**2/4 + 2283*n = 0. Calculate n.
-3044, -1, 0, 1, 2
Factor 5202*r**3/7 + 6528*r**2/7 + 2048*r/7.
2*r*(51*r + 32)**2/7
Factor n**3/3 - 232987*n**2/3 + 13570619048*n/3 + 13570852036/3.
(n - 116494)**2*(n + 1)/3
What is r in -4*r**3 - 29768*r**2 - 119008*r = 0?
-7438, -4, 0
Let -3*a**4 - 5121*a**3 - 10230*a**2 = 0. What is a?
-1705, -2, 0
Suppose v**4 + 9*v**3 + 21*v**2 - v - 30 = 0. What is v?
-5, -3, -2, 1
Solve 64*a**5/3 - 14560*a**4/3 + 7012*a**3/3 + 57332*a**2/3 - 29072*a/3 + 3632/3 = 0.
-2, 1/4, 2, 227
Factor -w**4 - 644*w**3 + 12617*w**2 + 13260*w.
-w*(w - 20)*(w + 1)*(w + 663)
Determine k so that k**2 - 4274*k = 0.
0, 4274
Suppose -i**4/7 - 16*i**3/7 + 795*i**2/7 - 1538*i/7 + 760/7 = 0. What is i?
-38, 1, 20
Factor n**2/8 - 50140*n + 5028039200.
(n - 200560)**2/8
Factor -4*f**5 + 124*f**4 + 396*f**3 + 404*f**2 + 136*f.
-4*f*(f - 34)*(f + 1)**3
Factor 5*b**3 - 660*b**2 - 34335*b - 383670.
5*(b - 174)*(b + 21)**2
Find q, given that 3*q**3 - 1308*q**2/7 + 5244*q/7 - 1392/7 = 0.
2/7, 4, 58
Suppose -38309841441*n**2/4 - 195729*n - 1 = 0. Calculate n.
-2/195729
Let m**4/5 - 183*m**3/5 + 8642*m**2/5 - 4932*m + 3240 = 0. What is m?
1, 2, 90
Let 194*l**5 - 190*l**4 - 2526*l**3 + 4798*l**2 - 2228*l - 48 = 0. Calculate l.
-4, -2/97, 1, 3
Factor -3*u**2/7 + 222132*u/7 - 4111885452/7.
-3*(u - 37022)**2/7
Determine d, given that 5*d**3/2 + 1045*d**2 + 2085*d/2 = 0.
-417, -1, 0
Solve 3*w**5/5 + 30*w**4 - 834*w**3/5 - 444*w**2/5 + 555*w - 330 = 0.
-55, -2, 1, 5
Solve 4*v**3 - 492*v**2 - 16*v + 1968 = 0.
-2, 2, 123
Find z such that -2*z**2/9 + 38216*z/3 - 182557832 = 0.
28662
What is a in -4*a**4 + 976*a**3 + 5012*a**2 - 7920*a - 11952 = 0?
-6, -1, 2, 249
Determine i, given that i**4/5 + 1058*i**3/5 + 11517*i**2/5 = 0.
-1047, -11, 0
Find q, given that -5*q**5 + 1950*q**4 + 125715*q**3 + 1883840*q**2 = 0.
-29, 0, 448
Factor u**3 + 2822*u**2 - u - 2822.
(u - 1)*(u + 1)*(u + 2822)
What is r in 7*r**2/3 + 10466881*r/3 - 996846 = 0?
-1495269, 2/7
Let -337*x**4/6 + 7415*x**3 - 326348*x**2 +