given that -5*f**4 + 26985*f**3 - 32876285*f**2 - 9762535965*f + 19656361270 = 0.
-247, 2, 2821
Determine x, given that -4*x**2 + 281940752*x + 281940756 = 0.
-1, 70485189
Suppose -i**2/3 + 11041*i/3 + 207144 = 0. Calculate i.
-56, 11097
What is p in -3*p**2 + 583011*p - 9327408 = 0?
16, 194321
Suppose 3*f**2 + 108459*f + 50101740 = 0. Calculate f.
-35685, -468
Factor -s**3/4 - 80379*s**2/2 + 2250759*s/4 - 1969457.
-(s - 7)**2*(s + 160772)/4
Determine x so that -33*x**3 + 326223*x**2 - 830172*x = 0.
0, 28/11, 9883
Find k such that -14361*k**3 + 186666*k**2 + 431181*k + 810 = 0.
-2, -9/4787, 15
What is h in h**4/3 + 13208*h**3/3 + 14955255*h**2 + 2738054502*h = 0?
-6507, -194, 0
Find u, given that 2*u**4 + 34724*u**3 + 186395976*u**2 + 213488505468*u - 520997303224170 = 0.
-6159, 1115
Let k**4/7 - 1105*k**3/7 + 19622*k**2/7 - 8696*k = 0. What is k?
0, 4, 14, 1087
Find z, given that z**2 + 1414*z - 878427 = 0.
-1881, 467
Find i such that -5*i**4 - 5360*i**3 - 618080*i**2 + 438662400*i - 33488928000 = 0.
-660, 124
Factor -220*m**3 - 13799272*m**2 - 216386007888*m + 7868600352.
-4*(m + 31362)**2*(55*m - 2)
Factor k**3/4 + 8635*k**2/4 - 225021*k/4 + 1429065/4.
(k - 15)*(k - 11)*(k + 8661)/4
Determine d so that -353*d**4/2 + 177*d**3 + 1411*d**2/2 - 708*d + 2 = 0.
-2, 1/353, 1, 2
Suppose -3*q**2/5 + 76422132*q = 0. What is q?
0, 127370220
Let f**3/2 + 7694*f**2 + 3664597*f/2 - 5566155 = 0. What is f?
-15146, -245, 3
Determine f so that 25*f**5/11 + 28361*f**4/11 - 187415*f**3/11 - 332021*f**2/11 + 11522*f/11 + 127792/11 = 0.
-1141, -1, 14/25, 8
What is o in 2*o**2/7 + 13836080*o/7 + 23929638720800/7 = 0?
-3459020
Let -6*h**4 + 1371351*h**3/2 + 14743443*h**2/2 - 1885785*h = 0. Calculate h.
-11, 0, 1/4, 114290
What is z in -196*z**4 + 804*z**3 + 1784*z**2 - 3216*z - 4000 = 0?
-2, -1, 2, 250/49
Solve 2339*c**5/2 - 1740215*c**4/6 + 4967912*c**3/3 + 10142140*c**2 + 33966616*c/3 + 4840/3 = 0.
-2, -1/7017, 10, 242
Suppose -20*s**3/9 - 3098*s**2/9 - 6116*s/9 = 0. What is s?
-1529/10, -2, 0
Factor -5*o**2 + 118595*o - 154453440.
-5*(o - 22336)*(o - 1383)
Let -3*l**5 - 348*l**4 - 14679*l**3 - 271866*l**2 - 1956372*l - 1698840 = 0. Calculate l.
-45, -26, -22, -1
Solve -5*r**2/2 - 105235*r/2 - 22818930 = 0 for r.
-20604, -443
Factor 2*d**2/3 + 43299140*d/3 + 234351940592450/3.
2*(d + 10824785)**2/3
Let -4*k**4 + 8364*k**3 - 186932*k**2 - 40237692*k - 818954136 = 0. Calculate k.
-33, 91, 2066
Factor d**2 + 80182558*d + 1607310651855841.
(d + 40091279)**2
Factor 3*s**4/5 + 87861*s**3/5 - 1934394*s**2/5.
3*s**2*(s - 22)*(s + 29309)/5
Suppose -h**2/10 - 39843777*h/10 = 0. Calculate h.
-39843777, 0
Determine l, given that 22*l**4/5 - 940436*l**3 + 251249660214*l**2/5 + 639575057016*l/5 = 0.
-28/11, 0, 106869
Solve d**5/7 - 5860*d**4/7 + 9236211*d**3/7 - 1875148456*d**2/7 + 1810781776*d = 0.
0, 7, 229, 2812
Determine q, given that 3*q**3/7 + 158958*q**2/7 - 12416976*q/7 = 0.
-53064, 0, 78
Find x such that 2*x**3/23 + 1000496*x**2/23 - 6004218*x + 207159804 = 0.
-500386, 69
Find u, given that 2*u**2/19 + 300226*u/19 - 33650400/19 = 0.
-150225, 112
Let -8*w**4 + 170862*w**3 - 8991020*w**2 + 6604446*w + 2215720 = 0. What is w?
-1/4, 1, 52, 21305
Factor q**3 + 62914*q**2 - 1069797*q + 1887930.
(q - 15)*(q - 2)*(q + 62931)
Solve 15*n**5 - 4863*n**4 - 345888*n**3/5 - 265944*n**2 - 903984*n/5 - 170352/5 = 0.
-7, -6, -2/5, 338
Solve -4*i**4 - 33088*i**3 - 495708*i**2 - 2378448*i - 3567024 = 0.
-8257, -6, -3
Find s such that 14*s**4 - 15928*s**3 - 52596*s**2 + 125560*s - 57050 = 0.
-5, 5/7, 1, 1141
Solve 5*g**2 - 30882440*g + 47686255017680 = 0 for g.
3088244
Factor 41*f**2/8 - 246611*f/4 - 123326.
(f + 2)*(41*f - 493304)/8
Factor -4*u**2 - 592668872*u - 21953524489859524.
-4*(u + 74083609)**2
Find x such that 2*x**4/5 - 502*x**3/5 + 16866*x**2/5 + 14814*x + 11340 = 0.
-3, -1, 45, 210
Factor 2*o**3/15 - 7256*o**2/15 + 100114*o/3 - 581140.
2*(o - 3558)*(o - 35)**2/15
Let -q**4/4 + 2814*q**3 - 14641427*q**2/2 - 3364882710*q - 1429853935225/4 = 0. What is q?
-205, 5833
Determine m so that -4*m**5 + 1256*m**4 - 54396*m**3 + 400536*m**2 + 5474304*m + 5018112 = 0.
-6, -1, 24, 33, 264
Factor -3*n**3 + 569130*n**2 - 630090336*n + 174907293984.
-3*(n - 188598)*(n - 556)**2
Suppose l**2/2 - 341623*l + 116706274129/2 = 0. Calculate l.
341623
Let y**4/4 + 17*y**3/4 - 12589*y**2/4 - 612017*y/4 + 156147 = 0. What is y?
-73, -69, 1, 124
Determine o so that 3*o**2 + 53862*o + 162284760 = 0.
-14124, -3830
Factor -o**3 + 28198*o**2 + 1016100*o + 9147816.
-(o - 28234)*(o + 18)**2
Suppose 2*d**2/15 - 272482*d/5 - 6049648/3 = 0. Calculate d.
-37, 408760
Factor 4*y**2 + 17448*y + 10500644.
4*(y + 721)*(y + 3641)
Find s such that -2*s**5/3 - 166*s**4/3 - 1736*s**3/3 + 2656*s**2 + 50880*s + 151200 = 0.
-70, -10, -6, 9
Factor 30*p**2 + 9123203*p - 2128749.
(p + 304107)*(30*p - 7)
Determine d so that 3*d**2/4 - 304177785*d/2 + 30841374962502075/4 = 0.
101392595
Let -3*x**2 - 97515*x + 3416700 = 0. What is x?
-32540, 35
Find u such that 92*u**5 - 6724*u**4 - 1322560*u**3 - 52103776*u**2 - 628253632*u + 55025600 = 0.
-34, 2/23, 175
Factor -q**3 - 1348*q**2 + 828124*q - 107289248.
-(q - 242)**2*(q + 1832)
Factor 210561*y**2/4 - 52640*y - 1/4.
(y - 1)*(210561*y + 1)/4
Suppose -s**2 - 6471358*s - 10469618591041 = 0. What is s?
-3235679
Determine w, given that 2*w**2/3 - 637470*w - 1912412/3 = 0.
-1, 956206
Factor -o**3/6 + 27133*o**2/3 - 368398126*o/3 + 8091631724/3.
-(o - 27122)**2*(o - 22)/6
Factor -6*l**3 - 1127*l**2 - 48657*l + 58310.
-(l + 70)*(l + 119)*(6*l - 7)
Factor -28217*d**2 - 141091*d - 30.
-(d + 5)*(28217*d + 6)
Find v such that -v**4/5 - 14*v**3/5 + 11823*v**2/5 - 43460*v + 992992/5 = 0.
-124, 8, 11, 91
Factor l**2 + 312155114*l + 24360203799088249.
(l + 156077557)**2
Let -730267579482*u**5/5 - 1390963713032*u**4/5 - 591126797562*u**3/5 + 13913445212*u**2 - 2109912*u/5 + 16/5 = 0. Calculate u.
-1, 2/131861, 2/21
Factor l**3/9 + 1168121*l**2/9 + 113709862648*l/3 + 189513192980.
(l + 5)*(l + 584058)**2/9
What is j in j**5/3 + 14*j**4/3 - 75*j**3 - 4190*j**2/3 - 15376*j/3 - 3808 = 0?
-14, -12, -4, -1, 17
Solve -9*z**4 + 12979*z**3 + 11580*z**2 - 51916*z - 46176 = 0.
-2, -8/9, 2, 1443
Solve 8*k**2 + 660490*k + 1486062 = 0 for k.
-82559, -9/4
Find y, given that 2*y**2/5 + 1355276*y + 1147983147610 = 0.
-1694095
Find m such that -m**5/2 + 583*m**4/2 + 365*m**3 - 42560*m**2 - 42192*m + 84096 = 0.
-12, -2, 1, 12, 584
Determine u, given that 10*u**3 + 45239842*u**2 + 51166087128608*u + 10233215616128 = 0.
-2261992, -1/5
Factor 2*o**2 + 16618968*o + 33237928.
2*(o + 2)*(o + 8309482)
Solve -32*u**3/9 - 52490*u**2/3 - 147598*u/9 + 3280/3 = 0.
-4920, -1, 1/16
Factor 2*s**3 - 303596*s**2 + 303594*s.
2*s*(s - 151797)*(s - 1)
Let -z**2 - 50468124*z - 636757885019844 = 0. Calculate z.
-25234062
Let -4*n**3 + 96252*n**2 - 8822048*n + 17259120 = 0. Calculate n.
2, 90, 23971
Find p such that -2*p**3/3 + 2424*p**2 + 5968502*p/3 + 1987076 = 0.
-689, -1, 4326
Factor 2*m**4 + 141980*m**3 + 2441076506*m**2 - 2793937244280*m + 774477751129992.
2*(m - 546)**2*(m + 36041)**2
Determine n so that -4*n**5 - 142*n**4 + 490*n**3 + 10330*n**2 + 14634*n - 25308 = 0.
-37, -6, -3, 1, 19/2
Factor -4*u**3 + 3104*u**2 - 471468*u - 1442448.
-4*(u - 567)*(u - 212)*(u + 3)
Factor d**2/2 + 2031*d/2 - 484785.
(d - 399)*(d + 2430)/2
Find m such that -2*m**5 + 1693472*m**4 - 358482620312*m**3 + 716956773284*m**2 + 358482620314*m - 716958466756 = 0.
-1, 1, 2, 423367
Factor -s**2 - 367594*s + 24633287.
-(s - 67)*(s + 367661)
Factor -5*b**2/4 + 3935*b - 101465.
-5*(b - 3122)*(b - 26)/4
Let -2*s**5 + 744*s**4 - 5866*s**3 + 15324*s**2 - 13104*s = 0. What is s?
0, 2, 3, 364
Factor 2*d**3/3 + 942*d**2 - 2833118*d + 3967463822/3.
2*(d - 809)**2*(d + 3031)/3
Suppose -2*j**4 + 366894*j**3 - 16826951236*j**2 + 50478285480*j - 33651701136 = 0. Calculate j.
1, 2, 91722
What is g in -2*g**4 - 12224*g**3 - 1108392*g**2 - 4286944*g - 4238080 = 0?
-6020, -88, -2
Determine b, given that 3*b**2 + 5724948*b - 5724951 = 0.
-1908317, 1
Let -2*m**2/9 + 687242*m/9 + 4810988/3 = 0. What is m?
-21, 343642
Factor 2*l**2/3 - 175594456*l/3 - 58531486.
2*(l - 87797229)*(l + 1)/3
Factor -2*k**2/9 + 5042*k + 776628.
-2*(k - 22842)*(k + 153)/9
Factor -3*n**2 + 8147