1, 3, 542
Let 2*w**2/9 + 1400*w/9 + 1078 = 0. What is w?
-693, -7
Solve 15*x**3 - 20852*x**2 + 2780*x = 0 for x.
0, 2/15, 1390
Let -4*u**3/7 + 7948*u**2/7 + 1136*u = 0. What is u?
-1, 0, 1988
What is s in -2*s**2/17 - 37348*s/17 - 37346/17 = 0?
-18673, -1
Let -40*f**3/3 - 1234*f**2/3 - 7174*f/3 + 368 = 0. What is f?
-23, -8, 3/20
Let u**4/5 + 32886*u**3/5 + 270174861*u**2/5 - 3245650884*u/5 + 9740505636/5 = 0. What is u?
-16449, 6
Factor -4*a**3/5 - 316*a**2/5 - 6072*a/5.
-4*a*(a + 33)*(a + 46)/5
Factor -q**2 + 1263038*q - 398816247361.
-(q - 631519)**2
Factor 2*p**3 - 10*p**2 - 184*p + 192.
2*(p - 12)*(p - 1)*(p + 8)
Solve -14*j**5/3 + 15272*j**4/3 - 5592596*j**3/3 + 701630936*j**2/3 - 5168791502*j/3 - 752734096/3 = 0.
-1/7, 8, 361
Factor 3*p**5 - 1146*p**4 + 5682*p**3 - 10200*p**2 + 7923*p - 2262.
3*(p - 377)*(p - 2)*(p - 1)**3
Suppose -5*v**5 - 9175*v**4 - 27480*v**3 + 20*v**2 + 36640*v = 0. Calculate v.
-1832, -2, 0, 1
Let -162475*j**2/6 + 649901*j/3 - 8/3 = 0. What is j?
2/162475, 8
Factor -3*a**2/4 - 41211*a.
-3*a*(a + 54948)/4
What is c in -81*c**5/8 - 1233*c**4/8 + 6857*c**3/8 + 20037*c**2/8 + 524*c + 57/2 = 0?
-19, -2, -1/9, 6
Let -2*k**3/11 - 12*k**2/11 + 54*k/11 + 280/11 = 0. What is k?
-7, -4, 5
Let 3*d**5 - 1662*d**4 - 15120*d**3 - 45522*d**2 - 45603*d = 0. Calculate d.
-3, 0, 563
What is i in 8*i**4/7 + 214*i**3 + 9126*i**2/7 + 13772*i/7 + 2896/7 = 0?
-181, -4, -2, -1/4
Factor -245*h**3/4 - 431095*h**2/2 + 739155*h/4 - 39600.
-5*(h + 3520)*(7*h - 3)**2/4
Factor s**3 + 1326*s**2 + 10560*s + 21088.
(s + 4)**2*(s + 1318)
Factor 4*u**3 - 392*u**2 + 2208*u.
4*u*(u - 92)*(u - 6)
Find y such that 3*y**3/8 + 51*y**2/4 + 345*y/8 - 225/4 = 0.
-30, -5, 1
Suppose c**3/5 + 1066688*c**2/5 - 2133379*c/5 + 213338 = 0. Calculate c.
-1066690, 1
Solve 3*t**4 - 33042*t**3 = 0 for t.
0, 11014
Factor 340*g**3 + 3395*g**2 - 3790*g + 55.
5*(g - 1)*(g + 11)*(68*g - 1)
Determine d so that -3*d**3 + 5727*d**2 - 2724600*d - 8225424 = 0.
-3, 956
Find f such that 3*f**2 - 52347*f/4 + 6543/2 = 0.
1/4, 4362
Factor -5*f**2 + 1540*f + 54400.
-5*(f - 340)*(f + 32)
Solve l**5 + 17*l**4 + 78*l**3 + 46*l**2 - 79*l - 63 = 0 for l.
-9, -7, -1, 1
Suppose -k**4 - 3617*k**3 - 3283295*k**2 - 22806175*k = 0. What is k?
-1805, -7, 0
Let 735*d**5 - 45577*d**4 + 432105*d**3 + 459421*d**2 + 141216*d + 11700 = 0. What is d?
-3/7, -2/15, 13, 50
What is n in 2*n**3/21 + 14092*n**2/21 - 42290*n/21 + 4028/3 = 0?
-7049, 1, 2
Suppose h**5/2 - 19*h**4/2 + 111*h**3/2 - 173*h**2/2 - 56*h + 96 = 0. Calculate h.
-1, 1, 3, 8
Determine o, given that -2*o**3 + 16*o**2 + 32*o - 256 = 0.
-4, 4, 8
What is b in -b**3/2 - 663*b**2/2 + 1668*b - 1336 = 0?
-668, 1, 4
Factor m**3/4 - 11749*m**2/4 - 164633*m/4 - 576387/4.
(m - 11763)*(m + 7)**2/4
Solve 2*m**3 + 278*m**2 + 5588*m + 29232 = 0.
-116, -14, -9
Let -3*i**5/4 - 174*i**4 + 3696*i**3 - 21024*i**2 + 36288*i = 0. What is i?
-252, 0, 4, 12
Factor 5*v**4 + 17090*v**3 + 474600*v**2.
5*v**2*(v + 28)*(v + 3390)
Solve 4*l**2 - 1512984*l + 143070036516 = 0.
189123
Solve -25*m**3 - 230610*m**2 - 531855840*m - 212705440 = 0 for m.
-4612, -2/5
Factor 3*b**2/4 + 6303*b/4 - 4734.
3*(b - 3)*(b + 2104)/4
Factor -2*f**2/5 - 884666*f/5 - 884664/5.
-2*(f + 1)*(f + 442332)/5
Find p such that -6670*p**4 - 13334*p**3 - 6658*p**2 + 6*p = 0.
-1, 0, 3/3335
What is d in -5*d**2 + 787120*d - 30977894720 = 0?
78712
Suppose -14*y**5 + 974*y**4/9 - 850*y**3/3 + 2626*y**2/9 - 356*y/3 + 16 = 0. What is y?
2/7, 4/9, 1, 3
Solve -9*y**5/4 - 9399*y**4/2 - 4920363*y**3/2 - 6538047*y**2 - 22857345*y/4 - 3263547/2 = 0.
-1043, -1, -2/3
Factor -d**3 + 8627*d**2 + 17261*d - 25887.
-(d - 8629)*(d - 1)*(d + 3)
Determine x so that x**4/2 + 18440*x**3 - 36881*x**2/2 = 0.
-36881, 0, 1
Find v such that v**3/2 - 415*v**2 + 4949*v/2 - 2060 = 0.
1, 5, 824
Find n such that 2*n**3 - 2126*n**2 - 2140*n + 12768 = 0.
-3, 2, 1064
Let -904*r**2/7 - 916*r/7 - 12/7 = 0. Calculate r.
-1, -3/226
Let -k**5/6 - 16253*k**4/6 + 32513*k**3/3 - 16259*k**2/3 - 21675*k/2 + 16257/2 = 0. Calculate k.
-16257, -1, 1, 3
Factor -2*w**2 + 568*w - 1128.
-2*(w - 282)*(w - 2)
Factor g**5 + 338*g**4 + 1673*g**3 + 2668*g**2 + 1332*g.
g*(g + 1)*(g + 2)**2*(g + 333)
Let 2*u**3 + 198*u**2 + 3790*u - 51606 = 0. What is u?
-61, -47, 9
Let -4*m**4 + 892*m**3 - 24444*m**2 + 123012*m - 172800 = 0. What is m?
3, 25, 192
Solve 4*r**2/5 + 2088*r/5 - 61632 = 0.
-642, 120
Factor -h**4/2 + 29*h**3 - 288*h**2 - 3861*h - 16335/2.
-(h - 33)**2*(h + 3)*(h + 5)/2
Determine a so that -5*a**2/2 + 555*a/2 + 38200 = 0.
-80, 191
Determine t, given that -3*t**5/2 - 80817*t**4/2 - 362881791*t**3 - 1086588827361*t**2 - 4341276580527*t/2 + 6515180079651/2 = 0.
-8979, -3, 1
Factor 8*f**3/5 - 422*f**2/5 + 1824*f/5.
2*f*(f - 48)*(4*f - 19)/5
Determine n so that -n**5/5 - 9*n**4/5 + 12*n**3/5 + 124*n**2/5 + 144*n/5 = 0.
-9, -2, 0, 4
Determine m, given that 4*m**5 - 156*m**4 + 300*m**3 - 148*m**2 = 0.
0, 1, 37
Solve 2*s**2 - 384*s - 8018 = 0 for s.
-19, 211
Find n, given that 8*n**4/9 - 556*n**3/9 + 2704*n**2/9 + 7108*n/9 + 1280/3 = 0.
-1, 15/2, 64
Determine d, given that 26*d**3 - 4756*d**2 + 13674*d + 1080 = 0.
-1/13, 3, 180
Suppose 45*z**3 - 1324205*z**2 - 1618530*z - 294280 = 0. Calculate z.
-1, -2/9, 29428
Factor -94*y**2 + 258*y + 72.
-2*(y - 3)*(47*y + 12)
Find y such that 5*y**2 + 7820*y + 199940 = 0.
-1538, -26
Determine j, given that 4*j**5 - 380*j**4 + 2368*j**3 + 9168*j**2 - 63360*j = 0.
-5, 0, 6, 88
Let p**2/4 - 361*p/4 + 8140 = 0. What is p?
176, 185
Let -a**3/4 - 22*a**2 + 1609*a/4 - 1430 = 0. What is a?
-104, 5, 11
Let -x**3/3 + 17648*x**2/3 - 123493*x/3 + 35282 = 0. What is x?
1, 6, 17641
Factor 5*q**2/4 - 300165*q/2 - 600335/4.
5*(q - 120067)*(q + 1)/4
Suppose w**4 + 96*w**3 + 2123*w**2 - 2220*w = 0. Calculate w.
-60, -37, 0, 1
Find x, given that 3*x**5/2 - 849*x**4/2 + 55575*x**3/2 - 493575*x**2/2 + 591375*x = 0.
0, 5, 83, 190
Factor -4*v**2/3 + 4408*v - 3643212.
-4*(v - 1653)**2/3
Factor -2*z**2/9 - 7492*z + 67430/9.
-2*(z - 1)*(z + 33715)/9
Solve 10*r**3 - 21316*r**2 - 51208*r - 17072 = 0.
-2, -2/5, 2134
Factor -n**3/3 + 301*n**2 + 1208*n + 3628/3.
-(n - 907)*(n + 2)**2/3
Factor -4*i**2 + 218*i/3 - 190.
-2*(i - 15)*(6*i - 19)/3
Let 10*j**4 - 645*j**3 + 3245*j**2 = 0. What is j?
0, 11/2, 59
What is b in -2*b**2 + 37038*b + 481832 = 0?
-13, 18532
Factor -33*s**2 - 2841*s/7 - 8430/7.
-3*(s + 5)*(77*s + 562)/7
Find s, given that 22*s**5 + 42414*s**4 + 38538*s**3 - 3854*s**2 = 0.
-1927, -1, 0, 1/11
What is o in -o**4 + 89*o**3 - 2425*o**2 + 16539*o + 73926 = 0?
-3, 18, 37
Factor 4*q**2/3 - 548*q/3 + 2720.
4*(q - 120)*(q - 17)/3
Find m, given that -m**4/4 + 539*m**3/4 + 1504*m**2 + 4669*m + 3300 = 0.
-6, -4, -1, 550
Find t, given that -4*t**2 - 6680*t - 2692800 = 0.
-990, -680
Factor -z**4/5 + 68*z**3/5 - 592*z**2/5 + 624*z/5 + 4176/5.
-(z - 58)*(z - 6)**2*(z + 2)/5
Factor -3*r**2/4 + 2793*r/2 - 50031/4.
-3*(r - 1853)*(r - 9)/4
Determine d so that 14*d**4 - 358*d**3 + 3000*d**2 - 8600*d + 4000 = 0.
4/7, 5, 10
Let -3*f**3 - 4209*f**2 - 37638*f = 0. Calculate f.
-1394, -9, 0
Find l, given that l**2 - 305*l + 2664 = 0.
9, 296
What is v in 5*v**3/2 + 310265*v**2/2 + 620515*v/2 + 310255/2 = 0?
-62051, -1
Suppose 4*n**3 + 1856*n**2 + 244816*n + 6594624 = 0. What is n?
-214, -36
Determine i so that 4*i**5 + 406*i**4/3 + 2084*i**3/3 + 3538*i**2/3 + 616*i = 0.
-28, -3, -11/6, -1, 0
What is j in 2*j**3/7 - 4146*j**2/7 - 134658*j/7 - 130510/7 = 0?
-31, -1, 2105
Factor -28*b**3 + 920*b**2 - 1636*b + 744.
-4*(b - 31)*(b - 1)*(7*b - 6)
What is l in 12*l**4/7 + 423*l**3/7 + 3261*l**2/7 - 2799*l/7 - 897/7 = 0?
-23, -13, -1/4, 1
Let -2*a**2/5 - 4628*a/5 - 1071666/5 = 0. What is a?
-2053, -261
Factor -2*o**2/9 - 914668*o/9 - 104577193778/9.
-2*(o + 228667)**2/9
Determine z so that -9*z**5 + 4593*z**4 + 21570*z**3 + 30876*z**2 + 12360*z = 0.
-2, -2/3, 0, 515
Find u such that 4*u**2 - 644*u + 2512 = 0.
4, 157
Solve 5*k**3 - 41970*k**2 + 83905*k + 125880 = 0.
-1, 3, 8392
Determine n, given that -n**2/8 - 1278*n - 3266568 = 0.
-5112
Determine u so that 2*u**2 - 280*u - 117208 = 0.
-182, 322
Factor -k**3/4 + 2599*k**2/4 - 2596*k + 2595.
-(k - 2595)*(k - 2)**2/4
Let 25*u**5 + 28710*u**4 - 74945*u**3 - 149670*u**2 - 46040*u = 0. Calculate u.
-1151, -1, -2/5, 0, 