r -4*k**2 - 869456*k + 4347380.
-4*(k - 5)*(k + 217369)
Factor -x**2 - 196433*x + 2160884.
-(x - 11)*(x + 196444)
Factor -3*m**3 - 173381748*m**2 - 2505102544961292*m.
-3*m*(m + 28896958)**2
Factor 4*j**2/7 + 23472668*j/7 - 33532440.
4*(j - 10)*(j + 5868177)/7
Factor -j**3 - 45848*j**2 + 4180359*j - 4134510.
-(j - 90)*(j - 1)*(j + 45939)
Find o such that -6*o**2 - 480890*o + 320596 = 0.
-80149, 2/3
Solve 5*a**4 - 36120*a**3 - 1560005*a**2 - 17434320*a - 47090160 = 0.
-27, -12, -4, 7267
Solve i**4/2 - 5453*i**3 + 769131*i**2/2 + 834587*i - 3163820 = 0 for i.
-4, 2, 73, 10835
Factor y**2/4 + 691482*y - 13829665/4.
(y - 5)*(y + 2765933)/4
Find r, given that 160965*r**4 + 315490*r**3 - 23340*r**2 - 21160*r - 480 = 0.
-2, -2/9, -12/511, 2/7
Suppose -3*c**2 - 457098030*c - 17411550752490075 = 0. Calculate c.
-76183005
Let -90*m**3 - 685*m**2 + 18010*m + 38040 = 0. Calculate m.
-317/18, -2, 12
Factor -3*j**2/2 + 32133*j/2 - 34868232.
-3*(j - 7687)*(j - 3024)/2
Determine w so that 2*w**4 + 332*w**3 - 1712*w**2 - 332*w + 1710 = 0.
-171, -1, 1, 5
Find s such that -s**4 + 2174*s**3/3 - 88260*s**2 - 178698*s - 269137/3 = 0.
-1, 473/3, 569
Factor 3*j**3/7 - 3162*j**2/7 - 804540*j/7 - 6606600.
3*(j - 1274)*(j + 110)**2/7
Find i such that 2*i**3/17 - 110916*i**2/17 + 3658114*i/17 - 3547200/17 = 0.
1, 32, 55425
Factor -10298*t**3/9 + 6219988*t**2/3 - 939216376*t - 1094448.
-2*(t - 906)**2*(5149*t + 6)/9
Determine k, given that 4*k**3 + 36367024*k**2 = 0.
-9091756, 0
Find y such that -27*y**5 - 304641*y**4 + 304842*y**3 + 1963404*y**2 - 135480*y - 812448 = 0.
-11284, -2, -2/3, 2/3, 3
Factor d**3/6 + 203*d**2/6 + 1441*d/3 - 41440/3.
(d - 14)*(d + 32)*(d + 185)/6
Find b such that b**2/3 + 473224*b/3 + 55985238544/3 = 0.
-236612
Solve -59*z**2/6 + 2791*z/2 - 1269 = 0 for z.
54/59, 141
Solve 4*c**5 + 952*c**4 + 19412*c**3 - 1935808*c**2 + 3786288*c = 0.
-202, -71, 0, 2, 33
Solve -39*i**5/5 - 13734*i**4/5 - 208698*i**3 - 440388*i**2 - 1328151*i/5 - 156006/5 = 0 for i.
-243, -107, -1, -2/13
Factor -25*s**2 - 2119045*s - 10594600.
-5*(s + 5)*(5*s + 423784)
What is r in -5*r**5/4 - 705*r**4/4 + 12825*r**3/2 - 5000*r**2 - 855000*r = 0?
-171, -10, 0, 20
Solve -25*n**4 + 182555*n**3 - 766310*n**2 + 145960*n = 0 for n.
0, 1/5, 4, 7298
Suppose 2*p**4/7 + 232735816*p**3/7 + 6770745471619848*p**2/7 + 27082979093649664*p/7 + 27082978162706432/7 = 0. What is p?
-58183952, -2
Factor -u**2/4 - 19852*u + 79412.
-(u - 4)*(u + 79412)/4
Factor 4*z**2 + 20736*z + 4482032.
4*(z + 226)*(z + 4958)
Find m, given that -71730*m**3 + 40944*m**2 - 3386*m - 764 = 0.
-382/3985, 1/3
Find s, given that 7*s**5 - 1825*s**4 + 135530*s**3 - 2820740*s**2 - 10670232*s - 2815200 = 0.
-3, -2/7, 46, 68, 150
Factor -s**2/3 + 592787*s/3 - 2371132/3.
-(s - 592783)*(s - 4)/3
Factor 5*l**2/6 - 17020885*l/6 - 42552275/3.
5*(l - 3404182)*(l + 5)/6
Determine j so that 5*j**2 - 97720*j - 29564580 = 0.
-298, 19842
Solve 3*d**5/7 + 44022*d**4/7 + 1055064*d**3/7 + 3865584*d**2/7 - 4218864*d + 4922400 = 0.
-14650, -14, 2
Factor 5*l**3 - 21975*l**2 - 6302685*l - 438162305.
5*(l - 4669)*(l + 137)**2
Find q such that -18*q**3 + 864897*q**2 - 13689333*q - 17148138 = 0.
-7/6, 17, 48034
Determine c so that 3*c**3 - 19329*c**2 + 212328*c - 463104 = 0.
3, 8, 6432
Factor 12*q**3 - 2618864*q**2 + 142885219836*q - 95255649288.
4*(q - 109119)**2*(3*q - 2)
Factor 2*s**2/11 + 17200*s/11 + 23790752/11.
2*(s + 1732)*(s + 6868)/11
Suppose 3*j**3 + 1054854*j**2 + 4219188*j - 63290520 = 0. Calculate j.
-351614, -10, 6
Factor -5*i**2 + 90310*i - 812385.
-5*(i - 18053)*(i - 9)
Factor 2*q**3/13 - 268470*q**2/13 + 3221424*q/13 - 9664056/13.
2*(q - 134223)*(q - 6)**2/13
Solve o**2/3 + 367118*o/3 = 0.
-367118, 0
Let -3*t**3 + 49002*t**2 - 98267232*t - 919587805920 = 0. What is t?
-3210, 9772
Find b, given that 2*b**4/7 - 1296*b**3/7 - 35414*b**2/7 + 247260*b/7 - 388224/7 = 0.
-32, 3, 674
Factor -5*t**3 - 495380*t**2 + 4458785*t - 3963400.
-5*(t - 8)*(t - 1)*(t + 99085)
Solve -169*v**4 - 3154242*v**3 - 485265*v**2 - 18664*v = 0 for v.
-18664, -1/13, 0
What is h in -h**2/2 - 2126*h - 50736 = 0?
-4228, -24
Let -8*t**3/5 - 4757102*t**2/5 + 4043564*t - 4757136/5 = 0. What is t?
-594642, 1/4, 4
Factor -2*s**3 + 337368*s**2 - 14227483290*s + 28453617124.
-2*(s - 84341)**2*(s - 2)
Factor -3*k**2/7 + 8489283*k.
-3*k*(k - 19808327)/7
Suppose 12*r**2/5 - 704*r/5 + 5364/5 = 0. What is r?
9, 149/3
Find s, given that 672*s**4 + 2057283*s**3/8 - 23960205*s**2/8 + 937104*s - 58509/2 = 0.
-394, 9/256, 2/7, 11
What is m in -m**4 + 1139549*m**3 + 5697776*m**2 - 6837324*m = 0?
-6, 0, 1, 1139554
Solve 3*t**4/4 - 30*t**3 - 10179*t**2/2 - 88290*t - 1273725/4 = 0 for t.
-51, -15, -5, 111
Suppose o**3/3 + 8272*o**2/3 + 575365*o/3 + 3349150 = 0. Calculate o.
-8202, -35
Factor -3*t**2/8 - 441*t/4 + 1171665/8.
-3*(t - 495)*(t + 789)/8
Factor 2*l**2 + 584328964*l + 42680042271164162.
2*(l + 146082241)**2
Factor 5*h**4 - 70211020*h**3 + 246479366472020*h**2.
5*h**2*(h - 7021102)**2
Factor -2*f**2 - 11538868*f - 16643184340178.
-2*(f + 2884717)**2
Solve -2*o**2/9 - 1151593*o/9 + 959665/3 = 0 for o.
-575799, 5/2
What is m in -4*m**4/15 - 250*m**3/3 - 99308*m**2/15 - 231622*m/15 + 524216 = 0?
-161, -148, -11, 15/2
Find n, given that n**4/4 - 23*n**3/2 - 277*n**2/4 + 1925*n/2 = 0.
-11, 0, 7, 50
Suppose 5*y**3 + 168266710*y**2 - 673066900*y + 673066920 = 0. Calculate y.
-33653346, 2
Factor y**3/7 - 1383421*y**2/7 + 68352015360*y - 478462724100/7.
(y - 691710)**2*(y - 1)/7
Factor -5630*u**2 - 67525*u + 420.
-5*(u + 12)*(1126*u - 7)
Factor 6327*d**2 + 43521*d/7 - 768/7.
3*(d + 1)*(14763*d - 256)/7
Factor 3*u**4/5 + 846822*u**3 + 1991959631388*u**2/5 + 312372469483664232*u/5 - 1249521749559742944/5.
3*(u - 4)*(u + 470458)**3/5
Factor -2*f**2 + 288528*f + 2596914.
-2*(f - 144273)*(f + 9)
Solve 2*y**3/9 - 46474*y**2/3 + 836446*y/9 + 108430 = 0.
-1, 7, 69705
Factor -s**2 - 7681*s - 23034.
-(s + 3)*(s + 7678)
Let 5*s**5 + 132455*s**4 + 1064310800*s**3 + 2326759512000*s**2 = 0. What is s?
-11480, -3531, 0
Suppose -3*r**5 + 1553421*r**4 - 4660236*r**3 - 12*r**2 + 6213648*r = 0. What is r?
-1, 0, 2, 517804
Factor -3510*s**3 + 2506136*s**2 - 447343134*s - 509796.
-2*(s - 357)**2*(1755*s + 2)
Factor 27*j**3 - 1709825913*j**2 - 2279767920*j - 759922644.
3*(j - 63326887)*(3*j + 2)**2
Let -4*a**2 + 42828*a + 170193280 = 0. What is a?
-3085, 13792
Solve -6*z**3/5 + 28362*z**2/5 + 1752408*z/5 = 0.
-61, 0, 4788
Factor 2*n**3 - 83242*n**2 - 916064*n + 6661120.
2*(n - 41632)*(n - 5)*(n + 16)
What is l in 8*l**5 + 1798*l**4 - 201512*l**3 - 794062*l**2 + 1599360*l + 1560600 = 0?
-306, -5, -3/4, 2, 85
Let -w**2/5 + 103773*w/5 + 41510 = 0. What is w?
-2, 103775
Solve -8*i**4/15 - 6694*i**3/15 - 103846*i**2/5 + 1326736*i/15 - 270728/3 = 0.
-787, -215/4, 2
Factor -a**3/6 - 4204*a**2/3 + 176941*a/6 - 286586/3.
-(a - 17)*(a - 4)*(a + 8429)/6
Find m, given that -2*m**5/5 + 1286*m**4/5 - 7096*m**3 - 16256*m**2 + 141952*m/5 + 304544/5 = 0.
-2, 2, 31, 614
Let -x**4/3 - 37216*x**3/3 + 670617*x**2 - 9056610*x = 0. What is x?
-37270, 0, 27
Factor -2*b**3/5 + 2328*b**2/5 - 816864*b/5 + 90210944/5.
-2*(b - 628)*(b - 268)**2/5
Suppose -3*h**4 + 2793*h**3 - 717435*h**2 + 30352899*h + 63597930 = 0. Calculate h.
-2, 55, 439
Determine w, given that -w**2 + 18148994*w/3 - 12099328/3 = 0.
2/3, 6049664
Suppose 117*p**4 + 37905*p**3 - 76278*p**2 = 0. What is p?
-12713/39, 0, 2
Solve 3*l**5/5 + 1749*l**4/5 + 84396*l**3/5 + 65244*l**2/5 - 812832*l/5 + 132288 = 0.
-530, -52, -4, 1, 2
Determine g, given that -9*g**2 - 53903622*g + 35935752 = 0.
-5989292, 2/3
Determine n so that 3*n**3/7 + 387939*n**2 - 1163820*n + 5431164/7 = 0.
-905194, 1, 2
Suppose -2*b**2 - 117206620*b - 1717173971478050 = 0. What is b?
-29301655
Suppose -h**3/3 - 28621*h**2 - 858551*h/3 - 600971 = 0. What is h?
-85853, -7, -3
Solve 15*r**3/2 - 13851*r**2 + 406659*r/2 + 41220 = 0 for r.
-1/5, 15, 1832
Suppose -5*z**3 - 24405*z**2 - 4298670*z = 0. What is z?
-4698, -183, 0
Factor -4*j**2 - 5358392*j - 5358388.
-4*(j + 1)*(j + 1339597)
Factor d**4/5 + 10157*d**3/5 + 5149079*d**2 - 232532001*d/5.
d*(d - 9)*(d + 5083)**2/5
Solve 5*q**2 + 7850*q - 13263195 = 0 for q.
-2593, 1023
Solve m**2/2 + 32587*m/2 + 195450 = 0 for m.
-32575, -12
Factor -2*f**2/9 - 2