5
Let 2*x**2/17 + 110854*x/17 = 0. Calculate x.
-55427, 0
What is r in 14*r**5/13 - 1084*r**4/13 + 17802*r**3/13 - 85700*r**2/13 + 9400*r/13 + 114000/13 = 0?
-1, 10/7, 10, 57
Suppose -2*h**2/5 + 20118*h/5 - 40228/5 = 0. What is h?
2, 10057
Determine a so that 5*a**4 + 470*a**3 - 69855*a**2 + 403780*a - 334400 = 0.
-176, 1, 5, 76
Factor 3*p**3 + 8589*p**2 + 5350800*p + 958402368.
3*(p + 392)**2*(p + 2079)
Factor 2*v**2/7 + 7216*v/7 - 65106/7.
2*(v - 9)*(v + 3617)/7
Find x such that 2*x**3/3 - 2046*x**2 - 6144*x = 0.
-3, 0, 3072
What is l in 2*l**2 + 41652*l + 915376 = 0?
-20804, -22
Let 2*x**5/11 + 126*x**4/11 + 116*x**3 - 67104*x**2/11 - 1776384*x/11 - 12220416/11 = 0. What is x?
-24, -17, 26
Factor -14161*r**3 - 12257*r**2 + 1840*r - 64.
-(r + 1)*(119*r - 8)**2
Factor -i**3 + 16729*i**2 - 69956495*i - 69973225.
-(i - 8365)**2*(i + 1)
Suppose 7*n**2/6 - 1397*n/6 - 100 = 0. Calculate n.
-3/7, 200
Solve 3*a**2/8 + 54123*a/4 - 108249/8 = 0 for a.
-36083, 1
Let 247272*w**5/11 - 247256*w**4/11 - 185470*w**3/11 + 123624*w**2/11 + 61826*w/11 + 4/11 = 0. Calculate w.
-1/2, -2/30909, 1
Factor -2*d**4/9 - 35480*d**3/9.
-2*d**3*(d + 17740)/9
Find y, given that -2*y**3 + 7488*y**2 - 7083048*y + 138681760 = 0.
20, 1862
Factor -3*y**4 - 13911*y**3 - 21497130*y**2 - 11063846964*y + 11085358008.
-3*(y - 1)*(y + 1546)**3
Determine z so that 2*z**2/13 - 518*z/13 - 475500/13 = 0.
-375, 634
Factor -21*c**3 + 396*c**2 - 1089*c - 7986.
-3*(c - 11)**2*(7*c + 22)
Suppose -4*b**4/7 + 204*b**3 - 158268*b**2/7 + 743524*b - 14227824/7 = 0. Calculate b.
3, 52, 151
Determine t, given that -3*t**3 - 208512*t**2 + 1251153*t - 1876770 = 0.
-69510, 3
Let 24*z**3 + 117*z**2 - 2589*z - 10692 = 0. Calculate z.
-11, -4, 81/8
Suppose 4*k**2/5 + 9984*k/5 + 31744 = 0. What is k?
-2480, -16
Solve 5*p**3/4 + 6185*p**2/4 - 137885*p/4 + 761695/4 = 0 for p.
-1259, 11
Determine l so that -2*l**3/9 - 626*l**2/9 + 36608*l/9 - 493480/9 = 0.
-365, 26
What is r in -r**5 - 1727*r**4 - 3451*r**3 - 1725*r**2 = 0?
-1725, -1, 0
Factor -2*w**2/9 + 68*w/3 + 1760/9.
-2*(w - 110)*(w + 8)/9
What is d in -81*d**5 - 71883*d**4 - 15999871*d**3 - 22996577*d**2 - 7853504*d - 784996 = 0?
-443, -1, -2/9
Determine c so that -3*c**3/5 + 96*c**2 + 15204*c/5 + 110544/5 = 0.
-14, 188
Factor -i**2 + 197*i - 1330.
-(i - 190)*(i - 7)
Factor -95*r**3/7 + 1522*r**2/7 - 1457*r/7 + 30/7.
-(r - 15)*(r - 1)*(95*r - 2)/7
Factor -t**4 - 49*t**3 - 183*t**2 - 135*t.
-t*(t + 1)*(t + 3)*(t + 45)
Determine h so that -h**5/3 + 7*h**4 + 4*h**3 - 268*h**2/3 + 112*h = 0.
-4, 0, 2, 21
Factor -8*a**2/9 - 49*a/9 + 310/9.
-(a + 10)*(8*a - 31)/9
Find j such that -4*j**2 + 22252*j - 111160 = 0.
5, 5558
Solve 2*r**3/3 - 328*r**2/9 + 1018*r/3 - 1892/9 = 0 for r.
2/3, 11, 43
What is f in -64592978*f**2/3 + 45464*f - 24 = 0?
6/5683
Find p such that -2*p**4/5 + 232*p**3/5 - 1102*p**2/5 - 86608*p/5 - 33384 = 0.
-15, -2, 26, 107
Solve r**3 - 1162*r**2 + 341020*r - 2004504 = 0 for r.
6, 578
Factor 2*w**3 - 5518*w**2 + 11030*w - 5514.
2*(w - 2757)*(w - 1)**2
Factor t**4 - 283*t**3 + 563*t**2 - 281*t.
t*(t - 281)*(t - 1)**2
Find a, given that 2*a**2 + 618*a - 759980 = 0.
-790, 481
Factor 5*l**4 - 28160*l**3 + 39733670*l**2 - 237642240*l + 356083605.
5*(l - 2813)**2*(l - 3)**2
Determine w so that 2*w**5 - 232*w**4 + 3326*w**3 - 12600*w**2 = 0.
0, 7, 9, 100
Factor -3*x**4 + 903*x**3 + 1815*x**2 + 909*x.
-3*x*(x - 303)*(x + 1)**2
Factor 2*t**4/5 - 252*t**3/5 - 262*t**2.
2*t**2*(t - 131)*(t + 5)/5
Let -b**4 + 136*b**3 + 11496*b**2 - 1096160*b - 64963600 = 0. What is b?
-62, 130
Factor 2*w**2/7 - 340*w/7 + 14288/7.
2*(w - 94)*(w - 76)/7
Factor 2*c**2 - 60010*c - 60012.
2*(c - 30006)*(c + 1)
Find q, given that -3*q**3 - 108*q**2 - 855*q + 2166 = 0.
-19, 2
Factor y**3 + 123*y**2 + 3476*y.
y*(y + 44)*(y + 79)
Solve -i**4/3 + 5*i**3/3 - i**2 - 5*i/3 + 4/3 = 0 for i.
-1, 1, 4
Factor -r**3 - 140*r**2 + 21175*r + 109250.
-(r - 95)*(r + 5)*(r + 230)
Factor 4*i**3 + 10988*i**2 - 10992*i.
4*i*(i - 1)*(i + 2748)
Determine s, given that -s**3 - 17*s**2/3 + 62*s/3 + 16 = 0.
-8, -2/3, 3
Find w, given that -2*w**5/7 + 4*w**4/7 + 28*w**3 + 40*w**2/7 - 3650*w/7 - 500 = 0.
-7, -5, -1, 5, 10
Factor 39*t**3 + 3210*t**2.
3*t**2*(13*t + 1070)
Solve r**5 - 20*r**4 + 87*r**3 + 256*r**2 - 1508*r + 1584 = 0.
-4, 2, 9, 11
Let 2*q**3 - 162*q**2 - 1034*q - 870 = 0. Calculate q.
-5, -1, 87
Let -3*g**4 - 123*g**3 - 843*g**2 - 1713*g - 990 = 0. What is g?
-33, -5, -2, -1
Determine d so that d**5/7 - 246*d**4/7 + 1444*d**3/7 - 954*d**2/7 - 1445*d/7 + 1200/7 = 0.
-1, 1, 5, 240
Let 2*q**3 + 338*q**2 - 12802*q + 12462 = 0. Calculate q.
-201, 1, 31
Factor r**3/3 + 411*r**2 + 2864*r + 12260/3.
(r + 2)*(r + 5)*(r + 1226)/3
Solve -114*g**4 + 159*g**3 + 15009*g**2 - 5946*g - 792 = 0.
-11, -2/19, 1/2, 12
Let -q**4/3 + 54457*q**3/3 - 329513256*q**2 + 5981983613120*q/3 - 5980995127808/3 = 0. Calculate q.
1, 18152
Determine l so that 140*l**3 + 1328*l**2 - 1152*l = 0.
-72/7, 0, 4/5
Factor -3*t**3 + 2982*t**2 - 157413*t - 160398.
-3*(t - 938)*(t - 57)*(t + 1)
Let 62*j**4/13 + 1808*j**3/13 + 10706*j**2/13 + 1680*j/13 = 0. Calculate j.
-21, -8, -5/31, 0
Factor 9*i**3/7 + 12*i**2/7 - 12*i/7.
3*i*(i + 2)*(3*i - 2)/7
Factor 3*r**5 + 282*r**4 - 1800*r**3.
3*r**3*(r - 6)*(r + 100)
Suppose 2*c**4/15 + 98*c**3/5 + 1982*c**2/15 + 206*c + 280/3 = 0. What is c?
-140, -5, -1
Find y such that -2*y**4/5 - 32*y**3/5 - 154*y**2/5 - 196*y/5 = 0.
-7, -2, 0
Determine h, given that -3*h**5 - 1146*h**4 - 110577*h**3 - 215454*h**2 + 110580*h + 216600 = 0.
-190, -2, -1, 1
Suppose -5*p**3 - 1335*p**2 + 62685*p - 681345 = 0. Calculate p.
-309, 21
Determine s, given that s**4/3 + 30*s**3 + 2228*s**2/3 + 2408*s - 23520 = 0.
-42, -10, 4
Factor -h**2/2 + 345*h/4 - 1701/2.
-(h - 162)*(2*h - 21)/4
Factor -3*k**3 + 816*k**2 - 6903*k - 7706934.
-3*(k - 177)**2*(k + 82)
Factor 4*u**2 - 2420*u + 39984.
4*(u - 588)*(u - 17)
Factor 3*k**5 + 54*k**4 - 72*k**3 - 1104*k**2 + 3312*k - 2592.
3*(k - 2)**3*(k + 6)*(k + 18)
Solve m**3/2 + 235*m**2/2 - 8969*m + 17464 = 0.
-296, 2, 59
Suppose 2*l**2/7 - 8188*l/7 + 235770/7 = 0. What is l?
29, 4065
Factor -b**4/5 + 884*b**3 - 972390*b**2 - 9790300*b - 24531125.
-(b - 2215)**2*(b + 5)**2/5
Find w, given that -8*w**5 - 908*w**4 + 2364*w**3 + 5024*w**2 - 9328*w - 5568 = 0.
-116, -2, -1/2, 2, 3
Find s such that 22*s**4/9 - 1580*s**3/3 - 56998*s**2/9 - 49844*s/3 - 7264 = 0.
-8, -3, -6/11, 227
What is d in -5*d**3 - 9370*d**2 + 37545*d - 28170 = 0?
-1878, 1, 3
Let -4*c**5 + 548*c**4/3 + 137836*c**3/3 + 4136636*c**2/3 + 1772416*c + 439296 = 0. Calculate c.
-48, -1, -1/3, 143
Solve 3*m**5 - 144*m**4 - 15024*m**3 - 338694*m**2 - 2504979*m - 2181162 = 0 for m.
-19, -1, 106
Suppose 5*o**2 + 1105*o = 0. What is o?
-221, 0
Let -81764*u**4 + 122650*u**3 - 40888*u**2 + 2*u = 0. What is u?
0, 1/20441, 1/2, 1
Determine f so that -f**2/4 + 4591*f/2 - 21077281/4 = 0.
4591
Let -72*q**3 + 41876*q**2 - 25536*q - 16268 = 0. What is q?
-7/18, 1, 581
Factor 2*w**2/5 + 2295428*w/5 - 459086.
2*(w - 1)*(w + 1147715)/5
Factor 4*r**2 - 20800*r.
4*r*(r - 5200)
Suppose 5*f**2 - 45895*f - 137730 = 0. What is f?
-3, 9182
Determine y so that -5*y**3/7 - 5218*y**2/7 + 12548*y/7 - 4184/7 = 0.
-1046, 2/5, 2
Find t, given that -3*t**5/2 + 47*t**4/2 + 435*t**3/2 - 355*t**2/2 - 216*t + 154 = 0.
-7, -1, 2/3, 1, 22
Factor 4*i**4/3 + 2176*i**3/3 + 212048*i**2/3 + 5759168*i/3.
4*i*(i + 58)**2*(i + 428)/3
Let y**2 - 287786*y + 287785 = 0. What is y?
1, 287785
Determine b so that -11*b**5/2 + 251*b**4 + 1502*b**3 + 165*b**2 - 3825*b/2 = 0.
-5, -15/11, 0, 1, 51
Find i such that -4*i**4 - 164672*i**3 - 1694968888*i**2 - 3389443776*i - 1694639556 = 0.
-20583, -1
Factor 5*v**4 - 1640*v**3 + 20585*v**2 - 34650*v.
5*v*(v - 315)*(v - 11)*(v - 2)
Factor x**4/2 + 187265*x**3/2 + 561789*x**2/2 + 561787*x/2 + 93631.
(x + 1)**3*(x + 187262)/2
Factor 4*h**3 + 2056*h**2 - 6220*h - 8272.
4*(h - 4)*(h + 1)*(h + 517)
Factor 2*d**3/7 + 4388*d**2/7 + 56706*d/7.
2*d*(d + 13)*(d + 2181)/7
Factor -s**3/7 + 593*s**2/7 - 169*s + 591/7.
-(s - 591)*(s - 1)**2/7
Factor -b**2/4 + 547601*b/2.
-b*(b - 1095202)/4
Suppose j**4/2 - 653*j**3 + 2607*j**2/2 + 653*j - 1304 = 0. Calculate j.
-1, 1, 2, 1304
Solve 3*r**5 - 885*r**4/2 + 20772*r**3 - 393783*r**2 + 2486829*r + 58036