n**2 - 220172*n - 109752 = 0. Calculate n.
-102, -1, 269
Factor 2*d**4 + 10544*d**3 + 13172588*d**2 - 1909528944*d + 65595144402.
2*(d - 67)**2*(d + 2703)**2
Determine y so that 2*y**2 - 1120*y - 79872 = 0.
-64, 624
Factor -k**2 + 254*k/3 + 1495.
-(k + 15)*(3*k - 299)/3
Let 6*d**2/11 - 50*d - 20104/11 = 0. Calculate d.
-28, 359/3
Suppose 15*i**5 - 573*i**4 - 2334*i**3 + 26556*i**2 - 61080*i + 43296 = 0. What is i?
-44/5, 2, 41
Determine f so that -3*f**4/4 + 69*f**3/2 + 390*f**2 - 2013*f/2 - 5445/4 = 0.
-11, -1, 3, 55
Factor -4*m**2/3 - 1244*m/3 + 102168.
-4*(m - 162)*(m + 473)/3
What is u in u**2 + 89673*u = 0?
-89673, 0
Factor 2*s**4/7 + 192*s**3/7 + 1098*s**2/7 - 193492*s/7.
2*s*(s - 26)*(s + 61)**2/7
Suppose 35*v**5/3 + 10816*v**4/9 + 283918*v**3/9 + 91936*v**2/3 + 289*v = 0. Calculate v.
-51, -1, -1/105, 0
Solve v**3/7 - 123208*v**2/7 + 3794929605*v/7 + 7590352050/7 = 0.
-2, 61605
Suppose -2*u**5 + 62*u**4 - 214*u**3 - 86*u**2 + 888*u - 648 = 0. What is u?
-2, 1, 2, 3, 27
Determine t so that 2*t**4/7 + 222*t**3/7 + 1468*t**2/7 + 1248*t/7 = 0.
-104, -6, -1, 0
Determine a so that a**2 + 409*a - 4190 = 0.
-419, 10
What is a in 9*a**5/4 + 849*a**4/2 - 5787*a**3/4 - 1293*a**2 + 576*a = 0?
-192, -1, 0, 1/3, 4
Suppose 3*n**4/7 - 111*n**3 - 12288*n**2/7 - 1644*n = 0. Calculate n.
-14, -1, 0, 274
Suppose 2*c**3/7 - 134*c**2/7 - 9010*c/7 + 48150/7 = 0. Calculate c.
-45, 5, 107
Suppose -4*a**3 + 392*a**2 - 1884*a + 2232 = 0. What is a?
2, 3, 93
Determine w so that 4*w**2/5 + 15912*w/5 + 332388/5 = 0.
-3957, -21
Suppose -5*o**2 + 51170*o - 130918445 = 0. Calculate o.
5117
Determine g so that -g**2/3 - 44429*g/3 - 88846 = 0.
-44423, -6
Factor -2*p**5 + 66774*p**4 - 557245716*p**3 - 1672137812*p**2 - 1672271370*p - 557446050.
-2*(p - 16695)**2*(p + 1)**3
Solve -b**4 + 28*b**3 - 267*b**2 + 944*b - 704 = 0 for b.
1, 8, 11
Factor 2*y**3/3 - 340*y**2/3 + 19234*y/3 - 362024/3.
2*(y - 59)**2*(y - 52)/3
Factor 2*u**2 - 844*u - 6880.
2*(u - 430)*(u + 8)
Suppose z**3 - 5364*z**2 - 42960*z - 85952 = 0. What is z?
-4, 5372
Factor c**4/5 + 109*c**3/5 + 588*c**2.
c**2*(c + 49)*(c + 60)/5
Solve k**3 - 463*k**2 + 18436*k = 0.
0, 44, 419
Factor f**3/3 + 3652*f**2/3 + 19392*f.
f*(f + 16)*(f + 3636)/3
Factor -3*w**3 - 48*w**2 + 3540*w - 6864.
-3*(w - 26)*(w - 2)*(w + 44)
Suppose 4*l**2/7 + 38756*l + 271288/7 = 0. Calculate l.
-67822, -1
Factor 2*v**2/3 - 41618*v/3 + 83228/3.
2*(v - 20807)*(v - 2)/3
Suppose -2*f**3 - 1790*f**2 - 219616*f + 221408 = 0. What is f?
-748, -148, 1
What is g in -4*g**5 - 3108*g**4 - 15448*g**3 - 6144*g**2 + 24704*g = 0?
-772, -4, -2, 0, 1
Factor -30*q**3 - 8305*q**2 + 52325*q - 8490.
-5*(q - 6)*(q + 283)*(6*q - 1)
Factor 5*h**3 - 620*h**2 + 1205*h + 1830.
5*(h - 122)*(h - 3)*(h + 1)
Factor -p**2/3 - 5*p - 56/3.
-(p + 7)*(p + 8)/3
What is a in -3*a**5 - 102*a**4 - 495*a**3 + 312*a**2 + 1716*a + 1008 = 0?
-28, -6, -1, 2
What is s in -4*s**5/5 + 189*s**4/5 + 68*s**3 + 147*s**2/5 = 0?
-1, -3/4, 0, 49
Determine z, given that 6*z**4 + 430*z**3 - 1484*z**2 + 1200*z = 0.
-75, 0, 4/3, 2
What is f in 4*f**2/3 - 155752*f/3 + 1516167844/3 = 0?
19469
Factor -5*m**3 - 165*m**2 + 1550*m + 6000.
-5*(m - 10)*(m + 3)*(m + 40)
Solve -x**5/4 + 4*x**4 + 102*x**3 + 847*x**2/2 + 2233*x/4 + 465/2 = 0.
-10, -3, -1, 31
Factor 4*t**2 + 63092*t.
4*t*(t + 15773)
Factor -y**4 + 347*y**3 + 4276*y**2 + 11488*y.
-y*(y - 359)*(y + 4)*(y + 8)
Solve 4*b**4 - 744*b**2 - 2560*b + 3300 = 0 for b.
-11, -5, 1, 15
Factor 5*r**3 - 50850*r**2.
5*r**2*(r - 10170)
Find y, given that -4*y**4 + 164*y**3 - 288*y**2 - 24624*y - 96768 = 0.
-6, 21, 32
Factor -r**2/5 - 2*r/5 + 3/5.
-(r - 1)*(r + 3)/5
Let -4*p**5/9 + 61*p**4/9 - 239*p**3/9 + 296*p**2/9 - 20*p/3 = 0. Calculate p.
0, 1/4, 2, 3, 10
Factor 5*m**3 - 136820*m**2 - 273655*m - 136830.
5*(m - 27366)*(m + 1)**2
Factor a**3/3 + 283*a**2/6 + 209*a/3 - 140/3.
(a + 2)*(a + 140)*(2*a - 1)/6
Suppose l**2 - 3119*l/3 - 1040/3 = 0. Calculate l.
-1/3, 1040
Factor 4*s**2 - 684*s + 28280.
4*(s - 101)*(s - 70)
Determine v, given that -2*v**4/3 - 29*v**3/6 + 10*v**2/3 + 57*v/2 - 21 = 0.
-7, -3, 3/4, 2
Let 4*q**3 - 255944*q**2 + 4094208196*q = 0. What is q?
0, 31993
Factor c**4/5 - 32299*c**3/5 + 774792*c**2/5 - 6197312*c/5 + 3304960.
(c - 32275)*(c - 8)**3/5
Find h, given that -2*h**5/3 + 280*h**4/3 - 554*h**3/3 + 92*h**2 = 0.
0, 1, 138
Determine s so that 2*s**3/13 + 6014*s**2/13 + 30008*s/13 - 36024/13 = 0.
-3002, -6, 1
Find q such that 80*q**4 + 793*q**3 + 1610*q**2 - 147*q = 0.
-7, -3, 0, 7/80
Factor -3*a**2/5 - 18684*a - 145454940.
-3*(a + 15570)**2/5
Suppose 3*i**2/2 + 5088*i + 10170 = 0. Calculate i.
-3390, -2
Factor i**4/2 - 21*i**3 - 144*i**2.
i**2*(i - 48)*(i + 6)/2
Determine c so that -3*c**4/7 + 33402*c**3/7 - 333792*c**2/7 + 800928*c/7 = 0.
0, 4, 6, 11124
Factor -2*r**2/9 + 3868*r/9 - 1870178/9.
-2*(r - 967)**2/9
Find y, given that -y**3/2 + 35181*y**2/2 - 140703*y/2 - 175885/2 = 0.
-1, 5, 35177
Find m, given that -2*m**5/5 - 1014*m**4/5 - 788*m**3 + 42692*m**2/5 + 44334*m + 35210 = 0.
-503, -5, -1, 7
Find c such that 3*c**4/7 + 888*c**3/7 - 39990*c**2/7 - 267000*c/7 - 226125/7 = 0.
-335, -5, -1, 45
Determine w so that -80*w**4 - 34840*w**3 - 3793205*w**2 = 0.
-871/4, 0
What is i in 3980*i**2/9 - 3538*i + 16/9 = 0?
1/1990, 8
Factor c**4/3 - 32*c**3 + 983*c**2 - 26566*c/3 - 21904.
(c - 37)**2*(c - 24)*(c + 2)/3
Suppose 2*w**5/5 + 77*w**4/5 - 466*w**3/5 + 788*w**2/5 - 184*w/5 - 352/5 = 0. Calculate w.
-44, -1/2, 2
Let 4*j**4/7 + 628*j**3/7 + 7304*j**2/7 - 26368*j/7 + 18432/7 = 0. Calculate j.
-144, -16, 1, 2
Determine m, given that -2*m**2 - 716*m - 61040 = 0.
-218, -140
Factor -2*b**2/3 + 81532*b/3 - 1059578/3.
-2*(b - 40753)*(b - 13)/3
Factor -2*b**3/9 - 6250*b**2/9 - 12494*b/9 - 694.
-2*(b + 1)**2*(b + 3123)/9
Determine l so that -14*l**3/5 + 412*l**2 + 3878*l/5 - 596/5 = 0.
-2, 1/7, 149
Let -8*v**5/9 + 11636*v**4 - 52348*v**3/9 - 157084*v**2/9 + 17452*v/3 + 52360/9 = 0. What is v?
-1, -1/2, 1, 13090
Find n such that n**5 + 41*n**4 - 10547*n**3 + 20787*n**2 + 31374*n = 0.
-126, -1, 0, 3, 83
Find w such that -27*w**4 - 807*w**3 - 4989*w**2 + 1287*w + 4536 = 0.
-21, -9, -8/9, 1
Factor 5*w**4 + 104200*w**3 + 312570*w**2 + 312560*w + 104185.
5*(w + 1)**3*(w + 20837)
Determine z so that -14*z**4/13 + 134978*z**3/13 - 848030*z**2/13 + 1445286*z/13 - 346860/13 = 0.
2/7, 3, 9635
Find f, given that 5*f**4/4 - 5503*f**3/4 + 19753*f**2/4 - 7673*f/4 - 3291/2 = 0.
-2/5, 1, 3, 1097
Find y, given that 5*y**2 - 299710*y + 4491304205 = 0.
29971
Factor 2*w**3/7 + 386*w**2 - 32640*w/7 + 98136/7.
2*(w - 6)**2*(w + 1363)/7
What is i in 5*i**5 - 20*i**4 + 30*i**3 - 20*i**2 + 5*i = 0?
0, 1
Determine w, given that 635*w**5 - 2525*w**4 - 28000*w**3 + 60300*w**2 + 367200*w + 8640 = 0.
-4, -3/127, 6
Factor l**2/4 - 57*l - 595.
(l - 238)*(l + 10)/4
Factor g**2 + 1599*g.
g*(g + 1599)
Factor u**3 + 16130*u**2 + 402671*u + 740830.
(u + 2)*(u + 23)*(u + 16105)
Factor -n**2/6 - 55820*n/3 - 1557936200/3.
-(n + 55820)**2/6
Suppose -w**5/5 - 78*w**4/5 + 2611*w**3/5 - 1912*w**2 + 11604*w/5 - 4576/5 = 0. What is w?
-104, 1, 2, 22
Determine x so that 5*x**5 + 3270*x**4 - 389860*x**3 + 9893250*x**2 + 44771375*x + 34485000 = 0.
-760, -3, -1, 55
What is t in -15*t**3 - 29125*t**2 + 9710*t = 0?
-1942, 0, 1/3
Factor a**4 + 178*a**3 - 1475*a**2 + 2412*a - 1116.
(a - 6)*(a - 1)**2*(a + 186)
Find v, given that 2*v**5/7 + 4*v**4 + 46*v**3/7 - 4*v**2 - 48*v/7 = 0.
-12, -2, -1, 0, 1
Let w**5 - 31*w**4 - 151*w**3 + 391*w**2 - 210*w = 0. Calculate w.
-6, 0, 1, 35
Let 3*m**4/2 - 102*m**3 + 3747*m**2/2 - 4743*m = 0. Calculate m.
0, 3, 31, 34
Suppose -2*g**4/5 - 2034*g**3 + 30528*g**2/5 - 8*g/5 - 40704/5 = 0. What is g?
-5088, -1, 2
Factor 6*g**2/11 - 799284*g/11 + 26618954694/11.
6*(g - 66607)**2/11
Find a such that 4*a**2 + 65048*a + 264452644 = 0.
-8131
Find l such that -3*l**4 - 4413*l**3 - 4407*l**2 + 4413*l + 4410 = 0.
-1470, -1, 1
Factor z**2/9 - 322*z/9 - 3320/9.
(z - 332)*(z + 10)/9
Factor 5*f**5 - 68320*f**4 + 233312785*f**3 + 466898890*f**2.
5*f**2*(f - 6833)**2*(f + 2)
Determine r so that -4*r**4 + 33388*r**3 + 233880*r**2 + 267392*r - 534656 = 0.
-4, 1, 8354
Solve -2205*m**3 + 13552350*m**2 - 2581340*m + 122920 = 0.
2/21, 6146
Factor a**2 + 4834*a - 14511.
(a - 3)*(a + 4837)
