 + 1)/7
Factor z**2/3 - 2272*z/3 + 1290496/3.
(z - 1136)**2/3
Find w, given that 1682*w**3/9 - 56840*w**2/9 - 3938*w/3 - 68 = 0.
-3/29, 34
What is s in -9*s**4/4 + 879*s**3/2 - 144*s**2 - 879*s/2 + 585/4 = 0?
-1, 1/3, 1, 195
Factor 2*a**3 - 498*a**2 - 5132*a - 12432.
2*(a - 259)*(a + 4)*(a + 6)
Factor 4*r**3 + 7840*r**2 + 3778112*r - 62473216.
4*(r - 16)*(r + 988)**2
Find h such that 3*h**3 + 1161*h**2 - 38970*h - 40128 = 0.
-418, -1, 32
Suppose 16*f**5 + 379*f**4/3 - 88*f**3/3 - 379*f**2/3 + 40*f/3 = 0. What is f?
-8, -1, 0, 5/48, 1
Factor d**2/4 - 855*d/4 + 4225/2.
(d - 845)*(d - 10)/4
Find i such that -5*i**3 + 2215*i**2 - 295800*i + 12432780 = 0.
102, 239
Let 2*l**2/3 + 44818*l/9 + 29876/9 = 0. What is l?
-7469, -2/3
Suppose 3*u**4 - 117*u**3 + 1113*u**2 - 1467*u - 2700 = 0. What is u?
-1, 3, 12, 25
Suppose 3385*q**3 - 6374*q**2 + 2593*q + 396 = 0. What is q?
-396/3385, 1
Factor -2*t**3/21 + 1041028*t**2/21.
-2*t**2*(t - 520514)/21
Factor 3*l**2/8 - 234*l - 942.
3*(l - 628)*(l + 4)/8
Find c, given that -2*c**4/7 - 254*c**3/7 + 1670*c**2/7 + 9902*c/7 + 1140 = 0.
-133, -3, -1, 10
What is i in -324*i**4 - 43560*i**3 - 528964*i**2 - 228656*i - 25168 = 0?
-121, -13, -2/9
Suppose -o**3/4 + 38203*o**2 + 305627*o/4 + 76407/2 = 0. What is o?
-1, 152814
Factor 25*w**4 + 255*w**3 - 550*w**2 - 120*w.
5*w*(w - 2)*(w + 12)*(5*w + 1)
Factor -2*q**4/5 - 2434*q**3/5 - 197316*q**2 - 132857816*q/5 + 133846832/5.
-2*(q - 1)*(q + 406)**3/5
Suppose 9*z**4 + 90162*z**3 + 180300*z**2 + 360584*z/3 + 80128/3 = 0. Calculate z.
-10016, -2/3
Find y such that -2*y**3/3 + 1136*y**2/3 - 22120*y/3 + 109600/3 = 0.
10, 548
Find g such that -4*g**5 + 48*g**4 - 200*g**3 + 288*g**2 + 108*g - 432 = 0.
-1, 3, 4
Factor -4*c**3 + 1648*c**2 + 86016*c + 1059840.
-4*(c - 460)*(c + 24)**2
Determine q, given that -5*q**2/4 + 4055*q/4 - 78735 = 0.
87, 724
Determine r, given that 2*r**5/9 + 704*r**4/9 + 83162*r**3/9 + 3710684*r**2/9 + 52301120*r/9 - 120121600/9 = 0.
-137, -40, 2
Factor 5*h**3 + 135*h**2 - 14220*h - 89100.
5*(h - 45)*(h + 6)*(h + 66)
Factor -3*c**2 - 48*c + 2160.
-3*(c - 20)*(c + 36)
Let 2*d**4/7 + 3582*d**3/7 + 11664*d**2 + 566360*d/7 + 1060800/7 = 0. What is d?
-1768, -10, -3
Solve 5*z**2 + 26895*z - 134600 = 0 for z.
-5384, 5
Factor 5*u**2 + 1600*u - 1605.
5*(u - 1)*(u + 321)
Determine n so that -n**3 - 251*n**2 + 1866*n + 15480 = 0.
-258, -5, 12
Let -2*b**2 + 562096*b = 0. What is b?
0, 281048
Factor -f**4 + 6654*f**3.
-f**3*(f - 6654)
Factor -5*u**3 + 310*u**2 - 745*u - 8260.
-5*(u - 59)*(u - 7)*(u + 4)
What is y in -2*y**3/11 - 1220*y**2/11 + 12350*y/11 - 31000/11 = 0?
-620, 5
What is g in 2000*g**5 + 28000*g**4 - 137340*g**3 + 117828*g**2 - 36720*g + 3888 = 0?
-18, 3/10, 2/5, 3
Factor -4*c**2 - 1136*c + 89088.
-4*(c - 64)*(c + 348)
Factor -2*j**2/11 + 267142*j/11 - 267140/11.
-2*(j - 133570)*(j - 1)/11
Factor 3*r**5/2 + 246*r**4 + 12936*r**3 + 220704*r**2.
3*r**2*(r + 44)**2*(r + 76)/2
Find v such that 3*v**5/4 - 78795*v**4 - 630375*v**3/4 + 78795*v**2 + 157593*v = 0.
-2, -1, 0, 1, 105062
What is u in 3*u**5/4 - 651*u**4/2 + 189795*u**3/4 - 2688669*u**2 + 61067520*u - 421070400 = 0?
12, 40, 171
Factor -2*h**2 - 13747*h + 6874.
-(h + 6874)*(2*h - 1)
Factor 2*j**2/7 + 681782*j/7 - 681784/7.
2*(j - 1)*(j + 340892)/7
Factor -4*t**2/5 - 92*t/5 - 104.
-4*(t + 10)*(t + 13)/5
Suppose 2*v**2 - 9664*v + 9662 = 0. Calculate v.
1, 4831
Let 4*b**2 - 243720*b - 487456 = 0. Calculate b.
-2, 60932
Determine z, given that -2*z**4 - 262*z**3 - 4534*z**2 - 10298*z + 15096 = 0.
-111, -17, -4, 1
Suppose -46*u**2/3 - 6592*u + 1720/3 = 0. Calculate u.
-430, 2/23
Let 24*f**2/7 + 272619*f/7 + 34077/7 = 0. Calculate f.
-11359, -1/8
What is g in g**2 + 5689*g - 5690 = 0?
-5690, 1
Factor 5*d**3 + 2160*d**2 + 231105*d - 470890.
5*(d - 2)*(d + 217)**2
Factor 3*o**4 + 1023*o**3 - 9426*o**2 + 8400*o.
3*o*(o - 8)*(o - 1)*(o + 350)
Determine t so that 35*t**3 - 72615*t**2 - 20750*t = 0.
-2/7, 0, 2075
Factor -o**3 + 13011*o**2 - 42262920*o - 381420900.
-(o - 6510)**2*(o + 9)
Factor -3*i**2 - 31539*i + 347292.
-3*(i - 11)*(i + 10524)
Determine f so that -f**5/5 + 6*f**4/5 + 29*f**3 - 30*f**2 = 0.
-10, 0, 1, 15
Solve 10*w**2/11 + 820956*w/11 - 328384/11 = 0 for w.
-82096, 2/5
Factor -2*v**2/11 - 64682*v/11 + 582300/11.
-2*(v - 9)*(v + 32350)/11
Let -3*z**3/4 + 291*z**2/4 - 2112*z + 19239 = 0. Calculate z.
22, 53
What is p in 507*p**5/2 - 32487*p**4/2 - 230124*p**3 + 29250*p**2 + 167616*p + 49248 = 0?
-12, -6/13, 1, 76
Factor 5*d**3 + 1520*d**2.
5*d**2*(d + 304)
Suppose -l**2 - 14896*l = 0. Calculate l.
-14896, 0
Find x, given that 4*x**3 + 976*x**2 + 44820*x - 1895400 = 0.
-135, 26
Suppose -n**3 + 122*n**2 - 353*n - 476 = 0. Calculate n.
-1, 4, 119
Let 5*r**5 - 235*r**4 + 220*r**3 + 20260*r**2 - 39600*r = 0. What is r?
-9, 0, 2, 10, 44
Solve -u**2/8 + 155960*u - 48647043200 = 0.
623840
Suppose -4*s**4/9 + 5960*s**3/9 - 5948*s**2/9 - 11912*s/9 = 0. Calculate s.
-1, 0, 2, 1489
Find z, given that z**5/3 + 131*z**4/3 - 1256*z**3/3 + 596*z**2/3 + 5008*z/3 - 4480/3 = 0.
-140, -2, 1, 2, 8
Find y such that y**3 - 49*y**2 + 155*y + 12493 = 0.
-13, 31
Suppose 4*b**3 + 408*b**2 + 3636*b - 4048 = 0. What is b?
-92, -11, 1
Factor 3*w**2 + 113118*w + 226224.
3*(w + 2)*(w + 37704)
Solve -3*v**3 + 58161*v**2 + 232680*v + 232692 = 0.
-2, 19391
Let 2*t**5/3 - 50*t**4/3 + 430*t**3/3 - 1510*t**2/3 + 640*t - 264 = 0. Calculate t.
1, 6, 11
What is l in -2*l**4/13 - 3880*l**3/13 + 74354*l**2/13 - 172520*l/13 - 250752/13 = 0?
-1959, -1, 4, 16
Factor -47*j**2/4 + 811*j/4 - 51.
-(j - 17)*(47*j - 12)/4
Factor m**3/3 - 19*m**2 + 287*m/3 + 1715.
(m - 49)*(m - 15)*(m + 7)/3
Factor -j**4/3 + 383*j**3/3 + 6320*j**2/3 + 8512*j.
-j*(j - 399)*(j + 8)**2/3
Find d such that -2*d**2/9 - 980*d/3 + 2942/9 = 0.
-1471, 1
Let t**3/2 - 3125*t**2/2 + 12479*t/2 + 15605/2 = 0. Calculate t.
-1, 5, 3121
Factor -f**3/2 - 4895*f**2/2 - 7336*f + 9784.
-(f - 1)*(f + 4)*(f + 4892)/2
Solve -698*o**3 + o**2 + 698*o - 1 = 0 for o.
-1, 1/698, 1
Suppose 2*v**2/9 + 60314*v/9 - 60316/9 = 0. Calculate v.
-30158, 1
Factor c**2/8 + 649*c/8 + 22515/4.
(c + 79)*(c + 570)/8
Suppose -5*u**4 - 2170*u**3 - 237105*u**2 - 252720*u + 23094720 = 0. Calculate u.
-216, -11, 9
Determine m so that -3*m**4 - 4872*m**3 + 9765*m**2 + 14634*m = 0.
-1626, -1, 0, 3
Solve m**5 + 151*m**4 + 1442*m**3 + 4544*m**2 + 4512*m = 0.
-141, -4, -2, 0
Let -p**2 + 2124*p - 6363 = 0. What is p?
3, 2121
Let -2*r**2/9 - 14*r + 2528/9 = 0. What is r?
-79, 16
Factor 1194*h**2 + 2487*h + 198.
3*(h + 2)*(398*h + 33)
Suppose 5*p**2 + 785*p + 16500 = 0. Calculate p.
-132, -25
Solve 2*d**2 + 89952*d + 1011420288 = 0 for d.
-22488
Factor 4*y**5 + 804*y**4 + 6248*y**3 + 13960*y**2 + 12372*y + 3860.
4*(y + 1)**3*(y + 5)*(y + 193)
Factor 177147*n**2/4 + 14580*n + 1200.
3*(243*n + 40)**2/4
Determine w so that 4*w**3 - 12*w**2 - 352*w = 0.
-8, 0, 11
Solve z**3/7 + 15*z**2/7 - 2182*z/7 - 1272 = 0.
-53, -4, 42
Find r, given that 2*r**2/13 - 44618*r/13 - 44620/13 = 0.
-1, 22310
Factor -2*z**5/7 - 208*z**4/7 + 1744*z**3/7 - 5312*z**2/7 + 7136*z/7 - 512.
-2*(z - 2)**4*(z + 112)/7
Factor 2*p**2 - 42324*p - 423440.
2*(p - 21172)*(p + 10)
Factor -w**3/2 - 1185*w**2/2 + 16349*w - 15756.
-(w - 26)*(w - 1)*(w + 1212)/2
Suppose -u**3/5 - 1788*u**2/5 + 1793*u = 0. What is u?
-1793, 0, 5
Factor 2*f**2 - 2042910*f - 2042912.
2*(f - 1021456)*(f + 1)
Find r such that -r**2/7 + 3698*r/7 - 3418801/7 = 0.
1849
Suppose 2*w**4 - 62*w**3 + 616*w**2 - 2368*w + 3072 = 0. What is w?
3, 4, 8, 16
What is k in 2*k**3 - 107564*k**2 = 0?
0, 53782
Factor -o**2/4 - 39115*o/2 - 1529983225/4.
-(o + 39115)**2/4
Solve i**3 - 2599*i**2 + 2598*i = 0 for i.
0, 1, 2598
Factor 2*k**3/7 + 492*k**2/7 - 992*k/7.
2*k*(k - 2)*(k + 248)/7
Factor u**3/8 - 7*u**2/2 + 241*u/8 - 315/4.
(u - 14)*(u - 9)*(u - 5)/8
Suppose 9*o**4/2 - 7863*o**3 + 3432198*o**2 + 2291628*o = 0. What is o?
-2/3, 0, 874
Suppose -5*c**5 + 85*c**4 + 103685*c**3 - 6376405*c**2 = 0. What is c?
-161, 0, 89
Factor c**2/6 + 344*c + 2062/3.
(c + 2)*(c + 2062)/6
Suppose -4*f**4 - 2220*f**3 - 30412*f**2 - 62580*f + 95216 = 0. What is f?
-541, -11, -4, 1
What is a in -a**4/5 + 3233*a**3/5 - 526792*a**2 + 6739460*a = 0?
0, 13, 1610
Factor 24*z**3 - 4859*z**2/4 + 26217*z/2 + 236925/4.
(z - 27)**