0. Calculate w.
-4, 2/3, 1, 13, 14
Find x, given that 7*x**4 - 81349*x**3 - 58112*x**2 + 23244*x = 0.
-1, 0, 2/7, 11622
Factor 4*v**3 - 1056*v**2 + 74676*v - 645160.
4*(v - 127)**2*(v - 10)
Determine x so that 3*x**4/7 - 150*x**3/7 + 1872*x**2/7 + 150*x/7 - 1875/7 = 0.
-1, 1, 25
Determine n, given that 4*n**4/3 - 305*n**3/3 + 760*n**2 - 2455*n/3 + 476/3 = 0.
1/4, 1, 7, 68
What is n in 3*n**2 - 6776424*n + 3826660185648 = 0?
1129404
Find n, given that 28*n**5 + 10368*n**4 + 200612*n**3 + 632432*n**2 - 619440*n - 224000 = 0.
-350, -16, -5, -2/7, 1
Factor -3*i**2 - 2448*i + 2451.
-3*(i - 1)*(i + 817)
Factor 3*z**5 - 54*z**4 - 3960*z**3 + 127200*z**2 - 1008000*z.
3*z*(z - 20)**3*(z + 42)
Factor 2*p**4 - 700*p**3 + 19514*p**2 + 7303800*p + 217736712.
2*(p - 222)**2*(p + 47)**2
Factor -l**3/2 + 20*l**2 + 322*l - 3600.
-(l - 50)*(l - 8)*(l + 18)/2
Find p, given that -2*p**4/3 + 134*p**3/3 - 288*p**2 + 480*p = 0.
0, 3, 4, 60
Determine a so that 3*a**2/5 + 4863*a/5 + 86562/5 = 0.
-1603, -18
Factor -2*s**3/5 + 9832*s**2/5 - 12181248*s/5 + 47941632.
-2*(s - 2448)**2*(s - 20)/5
Factor -2*c**3/9 - 3674*c**2/9 + 104440*c/9.
-2*c*(c - 28)*(c + 1865)/9
Factor 539523*z**2 - 539529*z + 6.
3*(z - 1)*(179841*z - 2)
Factor 3*n**2 + 18426*n + 18423.
3*(n + 1)*(n + 6141)
Determine c, given that -2*c**3 + 1034*c**2 + 57824*c + 769288 = 0.
-26, 569
Factor 2*x**2/11 + 3944*x/11 + 1074.
2*(x + 3)*(x + 1969)/11
Find k such that -3*k**4/5 + 711*k**3/5 + 15894*k**2/5 + 18516*k + 15480 = 0.
-10, -1, 258
Factor 39*d**4/8 + 1023*d**3/4 + 2856*d**2 - 13524*d.
3*d*(d + 28)**2*(13*d - 46)/8
Factor -2*s**4/3 + 83912*s**3/3 - 880236874*s**2/3 + 1760138116*s/3.
-2*s*(s - 20977)**2*(s - 2)/3
Let -400*s**3/3 - 10012*s**2/3 + 7100*s + 216 = 0. Calculate s.
-27, -3/100, 2
Determine n so that -n**5/2 - 17*n**4 - 139*n**3/2 + 87*n**2 = 0.
-29, -6, 0, 1
Find x such that -x**2/3 - 30420*x - 91259/3 = 0.
-91259, -1
Suppose -4*i**4 + 8*i**3 + 22044*i**2 - 22048*i - 30382144 = 0. Calculate i.
-52, 53
Determine u so that 8*u**5 - 50*u**4 + 36*u**3 + 74*u**2 - 20*u = 0.
-1, 0, 1/4, 2, 5
Solve -774*o**5 - 1383*o**4 - 450*o**3 + 153*o**2 - 6*o = 0.
-1, 0, 2/43, 1/6
Solve -5*z**2 + 5110*z = 0.
0, 1022
Suppose 9*b**4/2 - 253*b**3 + 5089*b**2/2 + 18752*b - 4290 = 0. Calculate b.
-5, 2/9, 22, 39
Factor 2*n**2/7 - 498*n/7 - 4644/7.
2*(n - 258)*(n + 9)/7
Let 50*s**3 + 1248*s**2 + 5650*s - 228 = 0. Calculate s.
-19, -6, 1/25
Let -n**3/3 + 11*n**2/3 + 74*n/3 + 32 = 0. What is n?
-3, -2, 16
Solve q**3 - 14234*q**2 + 50751180*q - 707729400 = 0.
14, 7110
Solve -d**3/4 + 202*d**2 - 51589*d/4 - 26199/2 = 0.
-1, 71, 738
Factor -3*t**5 + 1722*t**4 - 139380*t**3 + 3059736*t**2.
-3*t**2*(t - 482)*(t - 46)**2
Let 3*w**2 + 243*w + 4104 = 0. Calculate w.
-57, -24
Solve -3*c**5 + 72*c**4 - 516*c**3 + 1458*c**2 - 1641*c + 630 = 0 for c.
1, 3, 5, 14
Solve -2*a**5/3 + 2110*a**4/3 + 14840*a**3/3 + 29720*a**2/3 + 5664*a = 0.
-4, -2, -1, 0, 1062
Factor -3*h**2/2 + 324*h - 3090.
-3*(h - 206)*(h - 10)/2
Factor 3*g**3/2 + 531*g**2/2 + 15453*g/2 - 765075/2.
3*(g - 25)*(g + 101)**2/2
Suppose -3*g**2 + 14985*g - 1005108 = 0. Calculate g.
68, 4927
Suppose 2*q**3/5 + 100742*q**2/5 + 1268568448*q/5 - 1268669192/5 = 0. What is q?
-25186, 1
Determine a, given that 3*a**2/8 + 402*a - 3219/8 = 0.
-1073, 1
Let -2*t**4 + 21388*t**3 - 53860026*t**2 - 17756274824*t - 1378457438408 = 0. Calculate t.
-151, 5498
Find k, given that 5*k**3 - 4380*k**2 - 26415*k - 39690 = 0.
-3, 882
Factor 5*r**3 - 15*r**2 - 37485*r + 1287495.
5*(r - 51)**2*(r + 99)
Solve -3728761*g**5/3 + 62147304*g**4 + 63324570*g**3 - 196912*g**2/3 + 17*g = 0.
-1, 0, 1/1931, 51
Find v such that -2*v**3/11 - 246*v**2/11 + 1272*v/11 - 1024/11 = 0.
-128, 1, 4
What is v in 6*v**5 - 57748*v**4 + 153942*v**3 + 96232*v**2 - 115464*v = 0?
-1, 0, 2/3, 3, 9622
Factor -f**2/3 - 17842*f/3 - 5947.
-(f + 1)*(f + 17841)/3
Find s such that 2*s**3/9 - 110*s**2/3 - 9122*s/9 + 1050 = 0.
-25, 1, 189
Find b, given that 30*b**5 + 2097*b**4 - 4494*b**3 + 3015*b**2 - 648*b = 0.
-72, 0, 1/2, 3/5, 1
Factor -a**2 + 95267*a.
-a*(a - 95267)
Determine r so that 3*r**2 - 9894*r + 39528 = 0.
4, 3294
Determine r, given that -r**4 + 2*r**3 + 135*r**2 + 124*r - 260 = 0.
-10, -2, 1, 13
Find l, given that 8*l**5/5 - 322*l**4 + 78418*l**3/5 + 295472*l**2/5 - 3408024*l/5 + 166464 = 0.
-8, 1/4, 5, 102
Factor 64*b**2 + 7907*b - 3596.
(b + 124)*(64*b - 29)
Let -2*k**2/13 + 159772*k/13 - 3190886498/13 = 0. Calculate k.
39943
Determine f, given that -f**5/6 + 6*f**4 + 227*f**3/6 - 411*f**2 - 4208*f/3 - 960 = 0.
-9, -2, -1, 8, 40
Suppose b**3/4 + 19*b**2/4 - 75*b/2 = 0. What is b?
-25, 0, 6
Solve -a**5/6 - 166*a**4 + 5027*a**3/6 + 3673*a**2 + 8008*a/3 = 0.
-1001, -2, -1, 0, 8
Factor -q**3/4 + 999*q**2 - 39849*q/4 - 21923/2.
-(q - 3986)*(q - 11)*(q + 1)/4
Suppose -4*n**2 + 107788*n + 107792 = 0. What is n?
-1, 26948
Factor 3*f**2 - 1836*f - 95040.
3*(f - 660)*(f + 48)
Factor -2*t**2/11 + 622940*t/11 - 48506780450/11.
-2*(t - 155735)**2/11
Let 3*d**5 + 306*d**4 + 8370*d**3 + 27876*d**2 - 26901*d - 129654 = 0. What is d?
-49, -3, 2
Let 3*s**3 + 120222*s**2 + 961632*s + 1923168 = 0. What is s?
-40066, -4
Solve 3*o**4 + 1221*o**3 + 4803*o**2 - 13281*o + 7254 = 0.
-403, -6, 1
Factor b**3/3 + 115*b**2 - 464*b + 1396/3.
(b - 2)**2*(b + 349)/3
Solve -4*o**4 - 22904*o**3 - 32855716*o**2 - 196516320*o - 294465600 = 0.
-2860, -3
Factor 2*v**3 - 176*v**2 - 582*v + 3276.
2*(v - 91)*(v - 3)*(v + 6)
Factor -245*k**4 - 231805*k**3 - 264680*k**2 - 75600*k.
-5*k*(k + 945)*(7*k + 4)**2
Solve -3*d**2/8 - 1623*d/8 + 813/4 = 0 for d.
-542, 1
Factor 3*t**2 - 990*t - 315813.
3*(t - 529)*(t + 199)
Determine z, given that 2*z**3/7 - 17586*z**2/7 - 32712*z + 35224 = 0.
-14, 1, 8806
Determine a, given that -2*a**2 - 880652*a - 96943493138 = 0.
-220163
Solve -2*p**4 + 2001*p**3/2 - 1248*p**2 + 499*p/2 = 0 for p.
0, 1/4, 1, 499
Determine r so that -4*r**3 + 1583*r**2 - 7424*r - 1955 = 0.
-1/4, 5, 391
Factor -3*p**2/4 - 8853*p/4.
-3*p*(p + 2951)/4
Solve -s**3/11 - 7653*s**2/11 = 0.
-7653, 0
Find l, given that 3*l**2 + 6144*l - 55539 = 0.
-2057, 9
Factor -27*n**3/8 + 53883*n**2/8 - 3196518*n - 165465192.
-3*(n + 47)*(3*n - 3064)**2/8
Factor 9*g**3 + 17662*g**2 + 8669097*g + 3849444.
(g + 981)**2*(9*g + 4)
Determine p so that p**4 - 80*p**3 - 175*p**2 + 890*p + 984 = 0.
-4, -1, 3, 82
Suppose 5*q**5/4 + 75*q**4/2 + 1385*q**3/4 + 1005*q**2 + 1115*q + 420 = 0. What is q?
-14, -12, -2, -1
Suppose -2657*v**2/4 + 27899*v/2 - 21/4 = 0. What is v?
1/2657, 21
What is y in -7*y**2/10 - 175971*y/10 + 25139/5 = 0?
-25139, 2/7
What is v in v**5 - 174*v**4 - 2083*v**3 + 44460*v**2 + 46368*v = 0?
-21, -1, 0, 12, 184
Determine z, given that -2*z**2 + 788*z - 42770 = 0.
65, 329
Let 4*x**5 - 31*x**4 - 364*x**3 - 1001*x**2 - 948*x - 180 = 0. What is x?
-3, -2, -1/4, 15
Factor y**3 - 832*y**2 - 2503*y - 1670.
(y - 835)*(y + 1)*(y + 2)
Let -3*s**2 + 132732*s + 132735 = 0. What is s?
-1, 44245
Suppose i**3/2 + 3537*i**2/2 - 7077*i/2 + 3539/2 = 0. Calculate i.
-3539, 1
Solve -o**4/6 - 57*o**3/2 - 1243*o**2/6 + 3297*o/2 - 4238/3 = 0.
-163, -13, 1, 4
Suppose 6*f**5/7 - 140*f**4 + 6128*f**3 - 131076*f**2/7 - 1112474*f + 372680 = 0. What is f?
-11, 1/3, 20, 77
Find r, given that -3*r**2 - 906*r - 43011 = 0.
-243, -59
Solve -4*q**2 - 2164296*q - 292761073476 = 0.
-270537
Factor d**5/2 - 25*d**4/2 + 53*d**3 + 239*d**2 + 533*d/2 + 187/2.
(d - 17)*(d - 11)*(d + 1)**3/2
Factor 5*i**3 + 10715*i**2 - 21445*i + 10725.
5*(i - 1)**2*(i + 2145)
Determine y so that 3*y**3 - 13410*y**2 - 26832*y = 0.
-2, 0, 4472
Let -a**4/3 + 59*a**3/3 + 488*a**2/3 - 548*a - 1584 = 0. Calculate a.
-9, -2, 4, 66
Find d, given that 6*d**4 + 136*d**3 + 578*d**2 - 2056*d + 616 = 0.
-14, -11, 1/3, 2
Let -i**3/7 + 10235*i**2/7 - 30698*i/7 + 20464/7 = 0. Calculate i.
1, 2, 10232
Determine j, given that -3*j**2/5 - 72159*j/5 - 72156/5 = 0.
-24052, -1
Solve -2*f**3/5 - 762*f**2 + 61344*f/5 - 245888/5 = 0 for f.
-1921, 8
Find w such that w**4/5 + 1824*w**3/5 - w**2/5 - 1824*w/5 = 0.
-1824, -1, 0, 1
Factor t**4 + 3216*t**3 - 6475*t**2 - 125574*t - 231696.
(t - 8)*(t + 3)**2*(t + 3218)
Determine u, given that -3*u**4 - 42*u**3 - 81*u**2 + 702*u + 1944 = 0.
-9, -6, -3, 4
Solve -4*c**4 + 67*c**3/2 - 43*c**2/2 - 223*c/