, 3/43
Determine m, given that m**4/4 - 2493*m**3/2 + 58152*m**2 - 1172075*m/2 - 9260625/4 = 0.
-3, 25, 4939
Let 2*a**3/15 + 62964*a**2/5 - 1133414*a/15 + 62968 = 0. Calculate a.
-94452, 1, 5
Factor 2*k**2/5 - 1208*k - 190200.
2*(k - 3170)*(k + 150)/5
Find w such that 476*w**5 - 772*w**4 - 1788*w**3 + 1364*w**2 + 2624*w + 720 = 0.
-1, -45/119, 2
Factor 3*a**2/2 - 24873*a/2 + 62145.
3*(a - 8286)*(a - 5)/2
Factor t**3 - 141*t**2 + 1584*t - 4644.
(t - 129)*(t - 6)**2
Factor 2*p**2/9 - 21483004*p/3 + 57689932608002.
2*(p - 16112253)**2/9
Factor 6*t**3/11 + 9204132*t**2/11 + 18408246*t/11 + 9204120/11.
6*(t + 1)**2*(t + 1534020)/11
Find p such that -4*p**2 - 87160*p + 3580284 = 0.
-21831, 41
Factor 4*k**2/5 + 1442264*k - 50479436/5.
4*(k - 7)*(k + 1802837)/5
Determine a so that -a**5 + 272*a**4 + 2652*a**3 - 34778*a**2 + 60517*a - 28662 = 0.
-17, 1, 6, 281
Determine i so that 3*i**2 + 139801362*i + 1628701734754587 = 0.
-23300227
Factor 33*n**2/4 + 431037*n/4 - 274323/2.
3*(n + 13063)*(11*n - 14)/4
Let -4*s**2 - 25662520*s - 25662516 = 0. Calculate s.
-6415629, -1
What is n in 1849646*n**3/7 - 3042842*n**2/21 - 2506040*n/21 - 8/3 = 0?
-14/31, -2/89499, 1
Let -2*n**4/7 - 18196*n**3/7 - 10849746*n**2/7 + 65589984*n/7 - 14090112 = 0. What is n?
-8456, -648, 3
Solve -28*v**5 - 84496*v**4 - 62882112*v**3 + 1305757112*v**2 - 3662849764*v + 941403288 = 0.
-1519, 2/7, 3, 17
Factor -g**2/2 - 14464525*g - 209222483475625/2.
-(g + 14464525)**2/2
Suppose 4*l**3 + 307440*l**2 + 7990628*l - 8298072 = 0. What is l?
-76834, -27, 1
Factor 3*d**2 - 144252*d - 162759783.
3*(d - 49187)*(d + 1103)
Let 1075*y**4/4 - 5377*y**3/4 - 3760*y**2 + 7*y = 0. Calculate y.
-2, 0, 2/1075, 7
What is p in -3*p**5/2 + 13283*p**4/2 + 57617*p**3/2 - 4399*p**2/2 - 73137*p + 39888 = 0?
-3, 2/3, 1, 4432
Suppose -h**2/5 - 165071*h/5 = 0. Calculate h.
-165071, 0
Determine d so that -32*d**5/17 - 82288*d**4/17 + 193167550*d**3/17 - 5031713432*d**2 + 42733350400*d/17 - 5340160000/17 = 0.
-4172, 1/4, 800
Factor -2*t**3 - 47813852*t**2 - 285770555384738*t.
-2*t*(t + 11953463)**2
Factor h**3/11 + 30626*h**2/11 - 122636*h + 1349480.
(h - 22)**2*(h + 30670)/11
Solve -3*c**2 + 262986*c + 7102809 = 0.
-27, 87689
Factor v**2 + 211088*v + 211087.
(v + 1)*(v + 211087)
Factor -2*i**3/5 - 1508*i**2 - 162250*i - 4428600.
-2*(i + 55)**2*(i + 3660)/5
Factor 8108*j**2 + 2302552*j - 34080.
4*(j + 284)*(2027*j - 30)
Factor -3*c**3 + 207612*c**2 + 415260*c - 1660944.
-3*(c - 69206)*(c - 2)*(c + 4)
Suppose 3*i**2 + 6447669*i = 0. What is i?
-2149223, 0
Factor 3*x**2/5 - 71466*x/5 - 217197369/5.
3*(x - 26549)*(x + 2727)/5
Factor -5*d**2 - 155150*d - 383607945.
-5*(d + 2709)*(d + 28321)
Suppose z**4/7 + 930186*z**3 + 10599250411189*z**2/7 - 6056725682916*z + 42397105825636/7 = 0. What is z?
-3255653, 2
Solve -2*z**4 + 120*z**3 - 480*z**2 - 37760*z - 135168 = 0.
-12, -4, 32, 44
Factor 4*f**2 - 11573232*f + 8371231182864.
4*(f - 1446654)**2
Let 5*p**4 - 10370*p**3 + 539205*p**2 - 7359820*p + 6830980 = 0. Calculate p.
1, 26, 2021
Determine q so that q**5/7 + 2108*q**4/7 + 335267*q**3/7 + 141580*q**2 + 657900*q/7 = 0.
-1935, -170, -2, -1, 0
Factor -3*m**3/5 - 342*m**2/5 - 1488*m + 35424/5.
-3*(m - 4)*(m + 36)*(m + 82)/5
Let -4*z**4 + 93588*z**3 - 541332212*z**2 - 71422630452*z + 145009841112 = 0. What is z?
-131, 2, 11763
What is g in -2*g**2 - 7645648*g - 7306991667488 = 0?
-1911412
Find d such that 4*d**5 + 1495180*d**4 + 43357805*d**3 + 354705500*d**2 + 585318285*d + 272475414 = 0.
-373766, -27/2, -1
Suppose -5*d**2 + 580095*d - 52747240 = 0. Calculate d.
91, 115928
Factor -i**2/4 - 2559*i/4 + 137093/2.
-(i - 103)*(i + 2662)/4
Solve 27*y**3/4 + 33591*y**2/4 + 480042*y - 433344 = 0 for y.
-1184, -61, 8/9
Find j, given that 3241*j**2/4 - 5489*j/2 - 1986 = 0.
-1986/3241, 4
Factor -i**2/2 - 1023814*i - 55285227/2.
-(i + 27)*(i + 2047601)/2
Factor -3*g**2/7 + 1297542*g - 982108891029.
-3*(g - 1513799)**2/7
Solve 2*c**2/5 - 5529626*c/5 - 22118536/5 = 0 for c.
-4, 2764817
Find j, given that j**3 + 959*j**2/5 - 6688*j/5 - 1189188 = 0.
-143, -594/5, 70
Let d**3 + 5435*d**2 - 81804*d - 294300 = 0. Calculate d.
-5450, -3, 18
Let -2*y**3/11 - 1537042*y**2/11 = 0. What is y?
-768521, 0
What is m in 3*m**3 + 1714419*m**2 + 6857640*m + 6857628 = 0?
-571469, -2
Determine d, given that d**2 - 341194*d - 2729616 = 0.
-8, 341202
Suppose 5*y**2 + 46055*y + 29358290 = 0. Calculate y.
-8522, -689
What is i in -i**2/4 - 22889*i/2 - 13236717/4 = 0?
-45487, -291
Determine g so that 45*g**2 - 34542305*g - 7676070 = 0.
-2/9, 767607
Factor 3*q**2/7 + 47449446*q/7 + 187620827142243/7.
3*(q + 7908241)**2/7
Solve -3*u**4 + 4236*u**3 - 249105*u**2 + 2534364*u - 7149492 = 0 for u.
6, 49, 1351
Let -r**3/4 + 334413*r**2/2 - 111830716905*r/4 - 111833392225 = 0. Calculate r.
-4, 334415
Suppose 27*f**5 + 46920*f**4 + 36255*f**3 - 385890*f**2 - 479340*f + 125064 = 0. What is f?
-1737, -2, 2/9, 3
Factor -133*g**3/2 + 11385865*g**2 - 171216*g.
-g*(g - 171216)*(133*g - 2)/2
Suppose -p**5/5 - 278*p**4 + 32358*p**3/5 - 39780*p**2 + 470259*p/5 - 76302 = 0. What is p?
-1413, 2, 3, 15
Factor 47228*o**2 + 28478483*o - 603.
(o + 603)*(47228*o - 1)
Solve -86*j**3 + 80594*j**2 + 3000732*j = 0 for j.
-1542/43, 0, 973
Find s such that -3*s**3 + 37143*s**2 - 3172365*s + 3135225 = 0.
1, 85, 12295
Let -f**3/3 - 50767*f**2/3 - 212737525*f + 51815439717 = 0. Calculate f.
-25503, 239
Let 785*l**4 + 406615*l**3 + 51409730*l**2 - 324295740*l + 6177960 = 0. Calculate l.
-262, 3/157, 6
Determine h, given that -16*h**5 + 414*h**4 - 2716*h**3 + 5286*h**2 - 2560*h - 408 = 0.
-1/8, 1, 2, 6, 17
Determine g, given that 6*g**4/7 + 372518*g**3/7 - 2591890*g**2 + 11805746*g/7 + 5964960/7 = 0.
-62135, -1/3, 1, 48
Let 2*u**2 - 15598*u - 30142812 = 0. Calculate u.
-1603, 9402
Solve 8*g**2 + 85182692*g + 42591344 = 0 for g.
-10647836, -1/2
Solve 2*z**5/17 + 4592*z**4/17 - 69186*z**3/17 + 332560*z**2/17 - 517664*z/17 = 0.
-2311, 0, 4, 7
Find n, given that 8*n**2 + 3518334*n - 879584 = 0.
-439792, 1/4
Solve z**3/2 - 309*z**2 - 159349*z/2 - 79365 = 0.
-195, -1, 814
Factor b**3/2 - 63177*b**2/2 - 3414421*b/2 - 3351243/2.
(b - 63231)*(b + 1)*(b + 53)/2
Factor -2*y**3/3 - 18213362*y**2/3 - 13821888201290*y + 234973853979078.
-2*(y - 17)*(y + 4553349)**2/3
Factor -4*h**2/5 - 67732*h/5 - 190666888/5.
-4*(h + 3566)*(h + 13367)/5
What is s in 5*s**3 + 1360*s**2 - 1294820*s - 2595040 = 0?
-662, -2, 392
Factor -9618*y**3/13 - 3212*y**2/13 + 30*y.
-2*y*(7*y + 3)*(687*y - 65)/13
Let k**3 - 51426*k**2 + 873969*k - 822544 = 0. Calculate k.
1, 16, 51409
Factor 2*p**2 - 47166*p + 7960420.
2*(p - 23413)*(p - 170)
Determine u, given that 3*u**2 + 3468108*u + 1002314424972 = 0.
-578018
Solve 38*j**3 + 500*j**2 - 154234*j + 129504 = 0.
-71, 16/19, 57
Factor 4*y**4/7 - 77552316*y**3/7 + 501196809746988*y**2/7 - 1079693704658063706228*y/7.
4*y*(y - 6462693)**3/7
Factor -3*l**2 + 60668352*l + 121336716.
-3*(l - 20222786)*(l + 2)
Determine x so that -x**5/3 - 13382*x**4/3 + 429251*x**3/3 + 40144*x**2/3 - 1314508*x/3 + 858496/3 = 0.
-13414, -2, 1, 32
Factor 4*p**2/3 - 37616*p/3 - 1776788/3.
4*(p - 9451)*(p + 47)/3
Determine q, given that 2*q**4/3 - 144300*q**3 - 865834*q**2/3 + 1875924*q - 4329040/3 = 0.
-5, 1, 2, 216452
Suppose -4*t**3/7 - 1488*t**2/7 - 78356*t/7 - 150792/7 = 0. Calculate t.
-309, -61, -2
Factor 2*v**2/11 - 378792552*v/11 + 17935474681334088/11.
2*(v - 94698138)**2/11
Factor 2*h**4/3 - 3820*h**3 + 18802106*h**2/3 - 2278301480*h + 711419318792/3.
2*(h - 2639)**2*(h - 226)**2/3
Solve -6*w**4 + 7671*w**3 - 213483*w**2 - 333660*w - 112500 = 0.
-1, -1/2, 30, 1250
Let 4*z**5 + 538054*z**4 + 18092131440*z**3 - 117815314338*z**2 - 6515494763760*z - 35910778528800 = 0. Calculate z.
-67260, -9, 49/2
Determine g so that 6*g**5/5 + 141868*g**4/5 + 945538*g**3/5 + 425444*g**2/5 - 945544*g/5 - 567312/5 = 0.
-23638, -6, -1, -2/3, 1
Find t such that -t**4/4 + 763*t**3/2 - 10647*t**2/4 + 10637*t/2 - 3038 = 0.
1, 2, 4, 1519
Determine u, given that -4*u**5 - 102*u**4 + 1792*u**3 + 17018*u**2 + 29136*u - 19040 = 0.
-35, -4, 1/2, 17
Find v such that 2*v**4/7 - 5398*v**3/7 + 3974490*v**2/7 + 35860786*v - 827569905812/7 = 0.
-382, 1027
Solve 2*m**2/5 - 12308888*m/5 + 18938590474568/5 = 0.
3077222
Determine t so that