5, -2, 2
Factor 4*i**2 + 52568*i - 52572.
4*(i - 1)*(i + 13143)
Let 2*c**5/3 - 980*c**4/3 - 4606*c**3/3 + 12122992*c**2 = 0. What is c?
-168, 0, 329
Suppose -3*s**4 - 63*s**3 + 234*s**2 + 408*s - 576 = 0. What is s?
-24, -2, 1, 4
Suppose 2*o**3/3 + 2396*o**2/3 + 4784*o/3 = 0. Calculate o.
-1196, -2, 0
Factor 2*s**3/5 + 116*s**2/5 - 4258*s/5 - 8964/5.
2*(s - 27)*(s + 2)*(s + 83)/5
Let 2*q**2/9 - 1944*q + 17494/9 = 0. Calculate q.
1, 8747
Find f such that -f**3/5 - 148*f**2 + 13599*f/5 - 6822 = 0.
-758, 3, 15
Suppose -4*k**3 + 225700*k**2 = 0. Calculate k.
0, 56425
Factor l**3/5 - 286*l**2/5 + 6733*l/5 + 1404.
(l - 260)*(l - 27)*(l + 1)/5
Suppose -3*b**5/7 + 516*b**4/7 - 14286*b**3/7 + 68016*b**2/7 + 684969*b/7 + 602148/7 = 0. Calculate b.
-4, -1, 19, 139
Solve -2*z**3/3 + 46180*z**2/3 + 92366*z/3 + 46184/3 = 0 for z.
-1, 23092
Determine f, given that 450*f**5 + 1277360*f**4 + 6640898*f**3/9 - 62540*f**2/9 - 295144*f/9 + 7568/3 = 0.
-2838, -2/5, 1/9
Let 50*i**2 + 11503*i + 690 = 0. What is i?
-230, -3/50
Factor 5*z**3 - 4245*z**2.
5*z**2*(z - 849)
Determine u, given that 5*u**4/6 + 755*u**3/6 - 5*u**2/6 - 755*u/6 = 0.
-151, -1, 0, 1
Factor -3*w**2 + 11928*w + 11931.
-3*(w - 3977)*(w + 1)
Find f, given that -2*f**4 + 46*f**3 + 238*f**2 - 606*f + 324 = 0.
-6, 1, 27
Factor -3*y**2 + 129*y + 25404.
-3*(y - 116)*(y + 73)
Factor -2*n**4/5 - 2308*n**3/5 - 113088*n**2/5 + 369762048*n/5.
-2*n*(n - 334)*(n + 744)**2/5
Factor -f**4/2 - 25*f**3/2 + 41*f**2 - 28*f.
-f*(f - 2)*(f - 1)*(f + 28)/2
Solve -3*c**4 - 9648*c**3 + 19305*c**2 - 9654*c = 0.
-3218, 0, 1
Determine l, given that -2*l**3/25 + 4608*l**2/25 + 18456*l/25 + 18464/25 = 0.
-2, 2308
Factor -x**2 + 14597*x/4 + 73085/4.
-(x + 5)*(4*x - 14617)/4
Solve -q**3 - 14829*q**2 + 14830*q = 0.
-14830, 0, 1
Factor -12*p**3 - 616438*p**2/5 - 1583305592*p/5 + 52777538/5.
-2*(p + 5137)**2*(30*p - 1)/5
Suppose -k**2 + 360*k + 4464 = 0. What is k?
-12, 372
Factor 2*l**2/11 - 874*l/11 - 7120/11.
2*(l - 445)*(l + 8)/11
Suppose -14*u**4/3 + 666*u**3 - 33140*u**2/3 - 1004136*u - 857936/3 = 0. Calculate u.
-29, -2/7, 86
Factor 2*j**3 - 552*j**2 - 68502*j + 20629820.
2*(j - 233)**2*(j + 190)
Determine x so that -2*x**3 + 2304*x**2 = 0.
0, 1152
Determine u so that -u**5 + 7*u**4 + 8*u**3 - 164*u**2 + 416*u - 320 = 0.
-5, 2, 4
Suppose t**3/6 + 61*t**2/6 - 235*t/3 + 68 = 0. What is t?
-68, 1, 6
Factor -196*d**3 - 29316*d**2 - 1165824*d - 5120720.
-4*(d + 5)*(7*d + 506)**2
Factor -16*a**3 + 441612*a**2 + 110404*a.
-4*a*(a - 27601)*(4*a + 1)
Suppose -84*l**5/5 + 704*l**4/5 + 2308*l**3/5 - 8864*l**2/5 - 6064*l/5 - 192 = 0. What is l?
-4, -1/3, -2/7, 3, 10
Factor -4*y**2/7 - 632*y/7 - 12864/7.
-4*(y + 24)*(y + 134)/7
What is b in -5*b**2 - 15705*b - 234450 = 0?
-3126, -15
Let 3*a**2 - 184551*a + 184548 = 0. What is a?
1, 61516
Factor -2*v**3/11 + 2868*v**2/11 - 14290*v/11.
-2*v*(v - 1429)*(v - 5)/11
Solve 2*p**4/5 + 722*p**3/5 + 142*p**2 - 3594*p/5 + 432 = 0.
-360, -3, 1
Factor 407796*l**2 - 17379*l - 27.
3*(68*l - 3)*(1999*l + 3)
Suppose 18*k**3/19 - 60754*k**2/19 + 134928*k/19 - 26984/19 = 0. Calculate k.
2/9, 2, 3373
Find h, given that -2*h**2/11 + 936*h/11 + 938/11 = 0.
-1, 469
Solve 11343703*f**5 - 53406169*f**4 - 16541250*f**3 - 102368*f**2 - 160*f = 0 for f.
-2/7, -4/1273, 0, 5
Factor -4*q**4 - 52*q**3 + 1392*q**2 - 7632*q + 12096.
-4*(q - 6)**2*(q - 3)*(q + 28)
Find n such that 2*n**5/5 - 438*n**4/5 + 17122*n**3/5 + 780654*n**2/5 + 2215476*n/5 + 1452384/5 = 0.
-24, -2, -1, 123
Factor -l**2 + 144*l + 1216.
-(l - 152)*(l + 8)
Factor -5*p**4 + 4295*p**3 + 12915*p**2 + 12925*p + 4310.
-5*(p - 862)*(p + 1)**3
Solve -3*n**3 + 39*n**2 + 690*n = 0 for n.
-10, 0, 23
What is g in -g**4/5 - 203*g**3/5 - 13523*g**2/5 - 297913*g/5 - 284592/5 = 0?
-77, -48, -1
Solve n**3/2 + 91*n**2 + 4121*n/2 - 140014 = 0 for n.
-137, -73, 28
Suppose -2*f**5 + 25680*f**4 + 282668*f**3 + 693904*f**2 + 642534*f + 205616 = 0. Calculate f.
-8, -1, 12851
Determine s so that 5*s**2 - 482280*s + 11629699920 = 0.
48228
What is p in 4*p**2 - 8*p - 7392 = 0?
-42, 44
What is i in -4*i**3 + 3568*i**2 - 781200*i - 6480000 = 0?
-8, 450
Determine m, given that -3*m**5/4 + 499*m**4/4 - 6645*m**3/2 + 39429*m**2/2 + 287725*m/4 + 195075/4 = 0.
-5/3, -1, 17, 135
Let -2*x**3 - 450*x**2 + 14168*x = 0. Calculate x.
-253, 0, 28
Factor -i**2/7 + 8816*i/7 - 8815/7.
-(i - 8815)*(i - 1)/7
Let 196566*r**5 - 1841494*r**4 + 3989632*r**3 + 1541768*r**2 = 0. Calculate r.
-1/3, 0, 878/181
Factor -3*r**4 + 10*r**3 + 24*r**2 + 6*r - 5.
-(r - 5)*(r + 1)**2*(3*r - 1)
Factor -4077045*b**3/2 + 52983525*b**2/2 + 117380*b + 130.
-5*(b - 13)*(903*b + 2)**2/2
Suppose -o**4/3 + 41*o**3/3 + 203*o**2 + 477*o = 0. What is o?
-9, -3, 0, 53
Find v such that -2*v**4 + 2968*v**3 - 44038*v**2 - 47008*v = 0.
-1, 0, 16, 1469
Find b, given that -b**5/5 + 41*b**4/5 - 558*b**3/5 + 572*b**2 - 760*b = 0.
0, 2, 10, 19
Suppose 5*n**5 - 295*n**4 + 4945*n**3 - 27845*n**2 + 63390*n - 50400 = 0. Calculate n.
2, 3, 16, 35
Let u**4/2 - 231*u**3/2 - 1413*u**2/2 - 2129*u/2 - 474 = 0. Calculate u.
-4, -1, 237
Determine x so that 2*x**2/15 - 206*x/3 - 60208/15 = 0.
-53, 568
Factor -3*l**3 + 5025*l**2 - 10041*l + 5019.
-3*(l - 1673)*(l - 1)**2
Factor c**2 - 40340*c + 161344.
(c - 40336)*(c - 4)
Solve 2*a**5 + 158*a**4 - 168*a**3 - 632*a**2 + 640*a = 0 for a.
-80, -2, 0, 1, 2
Factor 2*a**3 + 354*a**2 - 14688*a - 3514240.
2*(a - 95)*(a + 136)**2
Let 5*k**2 + 1214400*k + 73738368000 = 0. What is k?
-121440
Determine x, given that -4*x**3 - 396*x**2 - 5424*x + 12464 = 0.
-82, -19, 2
What is s in -3*s**4 - 1590*s**3 - 228891*s**2 - 4827240*s - 27651888 = 0?
-253, -12
Factor 2*d**2/9 - 3986*d/9 - 137836/9.
2*(d - 2027)*(d + 34)/9
Factor o**4 + 13*o**3 - 2346*o**2 - 59008*o - 108544.
(o - 53)*(o + 2)*(o + 32)**2
Let -50*f**3 + 1785*f**2 - 1225*f = 0. Calculate f.
0, 7/10, 35
Find h, given that -36*h**3 + 493268*h**2 + 548116*h + 54812 = 0.
-1, -1/9, 13703
Let -10*h**4/3 + 348*h**3 - 462*h**2 - 5792*h/3 + 824 = 0. Calculate h.
-2, 2/5, 3, 103
What is o in 2*o**3 + 1040*o**2 - 1046*o - 2084 = 0?
-521, -1, 2
Let -10*o**5/3 - 814*o**4/3 - 3448*o**3 - 11648*o**2/3 + 15424*o/3 + 2464 = 0. What is o?
-66, -14, -2, -2/5, 1
Solve -2*x**5/5 + 92*x**4/5 - 818*x**3/5 + 1672*x**2/5 + 344*x/5 - 448 = 0 for x.
-1, 2, 8, 35
Factor -2*t**2/5 - 22*t + 43788/5.
-2*(t - 123)*(t + 178)/5
Factor 2*h**2/3 + 70936*h/3 + 628989512/3.
2*(h + 17734)**2/3
Determine k so that 2*k**5/3 - 1474*k**4/3 - 496*k**3 + 2952*k**2 = 0.
-3, 0, 2, 738
Factor z**3/3 - 19*z**2/3 - 176*z/3 - 52.
(z - 26)*(z + 1)*(z + 6)/3
Determine s so that -s**3 - 236*s**2 - 3315*s = 0.
-221, -15, 0
Suppose -14*o**5/13 + 2440*o**4/13 - 682*o**3/13 - 2440*o**2/13 + 696*o/13 = 0. Calculate o.
-1, 0, 2/7, 1, 174
Solve 5*x**4 - 1025*x**3 + 25050*x**2 + 82400*x + 56320 = 0.
-2, -1, 32, 176
Find r, given that -3*r**2 - 2949*r + 63252 = 0.
-1004, 21
Factor -2*s**4/7 + 240*s**3/7 - 34*s**2.
-2*s**2*(s - 119)*(s - 1)/7
Factor 8*c**4/5 + 1582*c**3/5 + 628*c**2 + 1566*c/5.
2*c*(c + 1)**2*(4*c + 783)/5
Solve -2*b**4/3 - 1604*b**3/3 - 146160*b**2 - 14441652*b - 225208026 = 0 for b.
-261, -19
Determine l, given that 310005*l**4 + 607560*l**3 + 285230*l**2 - 12200*l + 125 = 0.
-1, 5/249
Let -g**2/3 + 18316*g - 251606892 = 0. Calculate g.
27474
Solve 14*y**3/5 + 8*y**2/5 - 1826*y/5 - 8372/5 = 0 for y.
-7, -46/7, 13
Factor -2*r**2/7 - 185084*r/7.
-2*r*(r + 92542)/7
What is h in 4*h**5 + 48*h**4 + 228*h**3 + 536*h**2 + 624*h + 288 = 0?
-3, -2
Solve c**4/3 + c**3 - 14*c**2 - 172*c/3 - 56 = 0.
-6, -2, 7
Factor -615*j**3/2 + 66429*j**2/4 - 243*j/2.
-3*j*(j - 54)*(410*j - 3)/4
Suppose 2*z**4/19 + 360*z**3/19 + 6898*z**2/19 + 34980*z/19 = 0. What is z?
-159, -11, -10, 0
Determine i so that i**3 + 7854*i**2 - 31428*i + 31432 = 0.
-7858, 2
Factor -4446*m**2/11 - 226750*m/11 - 204/11.
-2*(m + 51)*(2223*m + 2)/11
Solve -3*r**5 + 573*r**4 - 38952*r**3 + 1100952*r**2 - 10620720*r - 11761200 = 0 for r.
-1, 30, 66
Factor -x**2 + 1250789*x + 1250790.
-(x - 1250790)*(x + 1)
Factor 3*r**3 + 462*r**2 - 4872*r + 7872.
3*(r - 8)*(r - 2)*(r + 164)
Suppose -4*a**2 + 7192*a - 28704 = 0. What is a?
4, 1794
Factor -11*a**3/4 + 10011*a**2/8 - 455*a/8.
-a*(a - 455)*(22*a - 1)/8
Factor 2*c**3/3 - 1426*c**2/3 - 1432*c.
2*c*(