 6400*a/3 - 25600/9 = 0. What is a?
-20, -4, 20
Factor 3*q**3 - 137*q**2 - 9427*q - 9287.
(q + 1)*(q + 37)*(3*q - 251)
Solve -c**3 + 625*c**2 - 5522*c - 13552 = 0.
-2, 11, 616
Factor 4*f**5 + 15536*f**4 + 15023184*f**3 - 120932224*f**2 + 242362624*f.
4*f*(f - 4)**2*(f + 1946)**2
Suppose 130*j**4 - 646*j**3 + 890*j**2 - 362*j - 12 = 0. Calculate j.
-2/65, 1, 3
Find d, given that -14*d**5 - 3888*d**4 - 10480*d**3 - 8252*d**2 - 546*d + 1100 = 0.
-275, -1, 2/7
What is w in w**4/2 + 20*w**3 + 37*w**2/2 - 39*w = 0?
-39, -2, 0, 1
Factor 3*x**2/5 - 11877*x/5 + 23742/5.
3*(x - 3957)*(x - 2)/5
Determine g so that g**2 + 54690*g + 747749025 = 0.
-27345
Let 4*h**2/5 - 2129032*h/5 - 851616 = 0. What is h?
-2, 532260
Find q such that -2*q**5/3 + 76*q**4 - 4636*q**3/3 - 15296*q**2/3 - 5254*q - 5332/3 = 0.
-1, 31, 86
Factor -5*t**2 - 2120*t + 115885.
-5*(t - 49)*(t + 473)
Determine h, given that 1736*h**3 + 16074*h**2 - 17646*h - 164 = 0.
-41/4, -2/217, 1
Factor g**3 - 252*g**2.
g**2*(g - 252)
Solve 2*q**4 - 21956*q**3 - 21958*q**2 = 0 for q.
-1, 0, 10979
Factor 2*j**2/5 - 8229*j/5 - 823.
(j - 4115)*(2*j + 1)/5
Suppose 2*f**2/9 + 572*f/3 + 3424/9 = 0. What is f?
-856, -2
Solve 5*g**2 - 6035*g - 6040 = 0 for g.
-1, 1208
Factor -5*y**2 + 1765000*y + 1765005.
-5*(y - 353001)*(y + 1)
Solve -y**2 + 452*y + 5093 = 0.
-11, 463
Factor -2220100*m**4 - 19974940*m**3 + 53636*m**2 - 36*m.
-4*m*(m + 9)*(745*m - 1)**2
Factor c**3/3 - 229*c**2/2 - 1763*c/6 + 1903.
(c - 346)*(c - 3)*(2*c + 11)/6
Find d, given that 2*d**3/11 - 102*d**2/11 + 838*d/11 - 738/11 = 0.
1, 9, 41
Factor 4*g**3 + 28*g**2 - 1040*g.
4*g*(g - 13)*(g + 20)
What is z in -3*z**2/4 + 75*z + 303/4 = 0?
-1, 101
Factor -3*j**2 + 16695*j - 16692.
-3*(j - 5564)*(j - 1)
Factor -2*a**2/13 - 1954492*a/13 - 477504872258/13.
-2*(a + 488623)**2/13
Factor -2*t**2/17 + 1982496*t/17 - 491286298752/17.
-2*(t - 495624)**2/17
Factor 4*i**2 - 112*i - 240.
4*(i - 30)*(i + 2)
Factor -4*i**2/3 + 21192*i - 84206412.
-4*(i - 7947)**2/3
Determine u, given that 2*u**2/7 - 936*u/7 + 10890 = 0.
105, 363
Factor -4*x**3 + 136*x**2 + 164*x - 840.
-4*(x - 35)*(x - 2)*(x + 3)
Factor 2*k**2 + 20024*k - 60090.
2*(k - 3)*(k + 10015)
Suppose -3*w**3 - 21*w**2/4 + 369*w = 0. What is w?
-12, 0, 41/4
Factor -2*l**2/19 - 73634*l/19 - 441732/19.
-2*(l + 6)*(l + 36811)/19
Factor 9*g**3/4 + 141321*g**2/2 + 47106*g.
3*g*(g + 31404)*(3*g + 2)/4
What is v in -5*v**3 - 27550*v**2 + 110260*v - 110280 = 0?
-5514, 2
Factor 3*y**3/8 + 153*y**2/8 + 1017*y/4 + 435.
3*(y + 2)*(y + 20)*(y + 29)/8
Let -n**5 + 1083*n**4 + 3*n**3 - 3251*n**2 + 2166*n = 0. Calculate n.
-2, 0, 1, 1083
Factor -k**2/4 + 2882*k - 8305924.
-(k - 5764)**2/4
What is i in -120*i**5/13 - 46*i**4 + 7698*i**3/13 + 16712*i**2/13 - 792*i/13 - 1120/13 = 0?
-10, -2, -1/4, 4/15, 7
Factor 2*i**2 + 77284*i + 746602082.
2*(i + 19321)**2
Let 3*b**3/2 - 24*b**2 - 11847*b/2 - 23214 = 0. What is b?
-53, -4, 73
Suppose -52*f**5 + 2384*f**4 + 44048*f**3 + 238120*f**2 + 432100*f + 61000 = 0. Calculate f.
-5, -2/13, 61
Factor -p**3 + 95767*p**2 - 287292*p.
-p*(p - 95764)*(p - 3)
Find p, given that 105*p**2 - 6501275*p - 619170 = 0.
-2/21, 61917
Factor -36*k**4 + 476*k**3 - 104*k**2.
-4*k**2*(k - 13)*(9*k - 2)
Solve q**5 + 121*q**4/3 + 962*q**3/3 - 708*q**2 - 1400*q/3 + 1568/3 = 0 for q.
-28, -14, -1, 2/3, 2
Factor a**3/7 + 346*a**2/7 + 11535*a/7 + 31518/7.
(a + 3)*(a + 34)*(a + 309)/7
Factor -4*b**3 - 172*b**2 + 11560*b - 22400.
-4*(b - 35)*(b - 2)*(b + 80)
Suppose -2*c**2/13 - 2752*c/13 + 424 = 0. Calculate c.
-1378, 2
Let 4*w**3 - 236*w**2 + 2812*w + 20460 = 0. Calculate w.
-5, 31, 33
Find x such that -2*x**3/11 - 128816*x**2/11 - 128814*x/11 = 0.
-64407, -1, 0
Factor -k**5 - 265*k**4 + 3554*k**3 - 16568*k**2 + 31072*k - 17792.
-(k - 4)**3*(k - 1)*(k + 278)
Let -45*q**4/2 - 204*q**3 - 927*q**2/2 - 30*q = 0. What is q?
-5, -4, -1/15, 0
What is u in 4*u**4 + 20*u**3 - 808*u**2 + 2224*u - 1440 = 0?
-18, 1, 2, 10
What is u in -25*u**4 + 134835*u**3 - 323505*u**2 + 242605*u - 53910 = 0?
2/5, 1, 5391
Factor t**3/6 + 203*t**2/6 + 11495*t/6 + 117325/6.
(t + 13)*(t + 95)**2/6
Suppose -500*i**5 - 11200*i**4 - 29945*i**3 + 49855*i**2 + 99050*i + 37240 = 0. Calculate i.
-19, -4, -7/10, 2
Let -w**3/7 + 1144363*w**2/7 - 46770156680*w - 327392241124/7 = 0. Calculate w.
-1, 572182
Factor -5*c**2 + 135445*c - 270870.
-5*(c - 27087)*(c - 2)
Let -2*a**2/9 - 25598*a/3 + 76796/9 = 0. Calculate a.
-38398, 1
Factor o**2/2 - 569*o/2 - 16146.
(o - 621)*(o + 52)/2
Let 5*z**2 - 18155*z - 752760 = 0. What is z?
-41, 3672
Factor -152*p**2/3 + 14*p + 194/3.
-2*(p + 1)*(76*p - 97)/3
Find k such that k**3/6 - 629*k**2/2 + 340885*k/2 - 119907809/6 = 0.
161, 863
Suppose -4*p**3/7 + 640*p**2/7 - 33088*p/7 + 557568/7 = 0. What is p?
44, 72
Let -4*h**2/7 + 1140*h/7 - 29696/7 = 0. What is h?
29, 256
Factor 4*r**3/3 + 56*r**2 - 4400*r - 580000/3.
4*(r - 58)*(r + 50)**2/3
Factor i**3/6 - 57*i**2/2 + 84*i.
i*(i - 168)*(i - 3)/6
Factor w**2/2 + 10385*w + 107848225/2.
(w + 10385)**2/2
Factor 2*r**2/5 - 21980*r + 219792/5.
2*(r - 54948)*(r - 2)/5
Factor -h**2 - 5563*h - 33342.
-(h + 6)*(h + 5557)
What is z in -3*z**2/4 + 162321*z - 8782702347 = 0?
108214
Find i, given that 2*i**5/11 + 1130*i**4/11 - 11468*i**3/11 + 18400*i**2/11 = 0.
-575, 0, 2, 8
Factor -2*o**4/5 - 13046*o**3 - 531901726*o**2/5 - 531836498*o/5.
-2*o*(o + 1)*(o + 16307)**2/5
Determine h, given that h**4 - 375*h**3 + 3308*h**2 - 5124*h = 0.
0, 2, 7, 366
Find p, given that 3*p**5 - 912*p**4 + 68376*p**3 + 145026*p**2 - 345627*p - 421362 = 0.
-3, -1, 2, 153
Find o such that -3*o**4/8 - 135*o**3/8 + 1059*o**2/8 - 1701*o/8 + 195/2 = 0.
-52, 1, 5
Let 19*d**5/6 - 967*d**4/6 + 10709*d**3/6 + 40639*d**2/6 + 5310*d + 486 = 0. What is d?
-2, -1, -2/19, 27
Suppose 21*j**5/2 - 195*j**4/4 - 78*j**3 + 723*j**2/2 - 693*j/2 + 405/4 = 0. What is j?
-3, 9/14, 1, 5
Determine p, given that 3*p**4 + 247*p**3 + 2630*p**2 + 2756*p - 3080 = 0.
-70, -11, -2, 2/3
Factor x**4/3 - 362*x**3/3 + 33121*x**2/3 - 21720*x + 10800.
(x - 180)**2*(x - 1)**2/3
Find j such that -j**3 + 1565*j**2 + 31681*j + 30115 = 0.
-19, -1, 1585
Let -75*k**4 + 2295*k**3 + 5832*k**2 + 3564*k = 0. What is k?
-6/5, 0, 33
Suppose -z**5/4 - 5*z**4 - 8*z**3 + 289*z**2/2 - 975*z/4 + 225/2 = 0. Calculate z.
-15, -10, 1, 3
Solve -20*d**2 - 172*d/3 + 424/9 = 0 for d.
-53/15, 2/3
Solve -2*n**2/19 + 3660*n/19 - 61642/19 = 0.
17, 1813
Factor -n**3/8 - 45*n**2 - 4386*n - 59168.
-(n + 16)*(n + 172)**2/8
Solve 4*j**3 + 7724*j**2 + 30848*j + 30832 = 0 for j.
-1927, -2
Factor -3*k**3 - 831*k**2 + 38871*k - 422037.
-3*(k - 21)**2*(k + 319)
Find r, given that -r**2 - 1870*r - 11184 = 0.
-1864, -6
Solve -7*j**4/5 + 367*j**3/5 - 5972*j**2/5 + 30932*j/5 - 8160 = 0 for j.
2, 6, 136/7, 25
Solve -f**5/6 + 14*f**4/3 + 19*f**3/2 - 1970*f**2/3 + 7616*f/3 + 3200 = 0.
-12, -1, 8, 25
Determine y so that y**3/4 + 6*y**2 + 39*y + 56 = 0.
-14, -8, -2
Solve -20*g**5 + 40388*g**4 + 64668*g**3 + 8092*g**2 - 16168*g = 0 for g.
-1, 0, 2/5, 2021
Determine q so that -8*q**5/7 - 36*q**4 - 1392*q**3/7 - 2312*q**2/7 - 264*q/7 + 900/7 = 0.
-25, -3, -1, 1/2
Find t such that -2*t**5 - 64*t**4/3 + 142*t**3/3 + 1760*t**2/3 - 200*t = 0.
-10, -6, 0, 1/3, 5
Find w, given that w**2/3 - 3983*w/3 = 0.
0, 3983
Factor -2*m**2/3 + 99404*m/3 + 99406/3.
-2*(m - 49703)*(m + 1)/3
Find y, given that -y**2/8 - 61*y/4 - 3657/8 = 0.
-69, -53
Factor 3*z**2/2 - 243*z/2 - 9555.
3*(z - 130)*(z + 49)/2
Factor 3*x**3 + 2166*x**2 + 428868*x + 13333896.
3*(x + 38)*(x + 342)**2
Suppose -2*d**3/3 - 46*d**2 - 608*d + 20216/3 = 0. Calculate d.
-38, 7
Let -22506*c**3 - 32252*c**2 - 11200*c + 256 = 0. What is c?
-8/11, 2/93
Factor 2*g**3/7 + 84*g**2 + 34560*g/7 - 1331200/7.
2*(g - 26)*(g + 160)**2/7
Find z, given that -5*z**2 + 7435*z - 189930 = 0.
26, 1461
Factor -3*w**2/8 + 1791*w - 7158.
-3*(w - 4772)*(w - 4)/8
Factor -4*m**3/3 + 940*m**2/3 - 2144*m + 3648.
-4*(m - 228)*(m - 4)*(m - 3)/3
Suppose -5*n**2 + 1322150*n = 0. What is n?
0, 264430
Determine m, given that 7*m**5 - 129*m**4 - 377*m**3 - 39*m**2 + 370*m + 168 = 0.
-2, -1, -4/7, 1, 21
Solve 4*r**4/7 - 4464*r**3 + 61276816*r**2/7 - 139205376*r + 3889767424/7 = 0 for r.
8, 3898
Solve -144*f**4 + 115872*f**3 + 38637*f**2 + 2415*f = 0 for f.
-1/4, -1/12, 0