
-11, -7, 1, 3
Solve 2*m**4 + 6480*m**3 + 25894*m**2 + 19416*m = 0.
-3236, -3, -1, 0
Determine h so that -2*h**4/17 - 86*h**3/17 + 1026*h**2/17 + 630*h = 0.
-51, -7, 0, 15
Determine m, given that -5*m**5/3 + 178*m**4/3 - 98*m**3/3 - 248*m**2/3 + 103*m/3 + 70/3 = 0.
-1, -2/5, 1, 35
Find d, given that d**4/3 + 18*d**3 + 315*d**2 + 5764*d/3 + 3388 = 0.
-22, -7, -3
Find g such that g**5/5 - 2437*g**4/5 + 105922*g**3/5 - 302058*g**2 + 1291545*g + 1615275 = 0.
-1, 15, 2393
Factor 3*o**2 - 2445*o - 2448.
3*(o - 816)*(o + 1)
Determine z, given that -2*z**5 - 6718*z**4 + 107874*z**3 - 425282*z**2 - 107872*z + 432000 = 0.
-3375, -1, 1, 8
Factor -5*c**3 - 365*c**2 - 6130*c + 13760.
-5*(c - 2)*(c + 32)*(c + 43)
Let 3*m**3/7 - 198*m**2/7 - 3513*m/7 + 12240/7 = 0. Calculate m.
-17, 3, 80
Factor -i**2/8 - 41*i/4 + 610.
-(i - 40)*(i + 122)/8
Find v such that -v**2 + 7230*v - 28904 = 0.
4, 7226
Factor -2*x**2/11 - 106*x/11 + 40936/11.
-2*(x - 119)*(x + 172)/11
Find s such that -3*s**4/5 - 81*s**3 - 3600*s**2 - 52500*s = 0.
-50, -35, 0
Find g such that 4*g**2/13 - 1633458*g/13 - 816730/13 = 0.
-1/2, 408365
Let -5*m**4 + 585*m**3 - 22080*m**2 + 264500*m = 0. What is m?
0, 25, 46
Suppose x**2 - 30056*x + 225840784 = 0. Calculate x.
15028
Factor -3*h**2 - 114*h + 1989.
-3*(h - 13)*(h + 51)
Factor -5*b**3 + 1705*b**2 - 91450*b - 93160.
-5*(b - 274)*(b - 68)*(b + 1)
Factor 5*w**3 + 335*w**2 + 6175*w + 34645.
5*(w + 13)**2*(w + 41)
Determine s so that s**4/3 + 740*s**3 - s**2 - 6662*s/3 - 1480 = 0.
-2220, -1, 2
Factor y**2/3 - 18826*y - 56481.
(y - 56481)*(y + 3)/3
Let 5*x**5 - 55*x**4 - 6300*x**3 - 92000*x**2 - 435680*x - 552720 = 0. What is x?
-14, -6, -2, 47
Factor -2*t**2/21 - 902*t/21 - 1240.
-2*(t + 31)*(t + 420)/21
Factor -3*a**2 - 123*a + 10836.
-3*(a - 43)*(a + 84)
Factor 3*b**2/5 + 183*b/5 - 3330.
3*(b - 50)*(b + 111)/5
Solve -b**3/3 + 161*b**2/3 - 784*b/3 + 208 = 0.
1, 4, 156
What is w in 2*w**3 + 522*w**2 - 160532*w + 318960 = 0?
-443, 2, 180
Find q such that 2*q**4/3 - 418*q**3/3 - 3082*q**2 + 19738*q/3 - 10076/3 = 0.
-22, 1, 229
Let -125*h**3 + 7475*h**2 + 24880*h + 20160 = 0. What is h?
-8/5, 63
Suppose 2*d**4/7 + 4204*d**3/7 + 4202*d**2/7 = 0. What is d?
-2101, -1, 0
Solve -2*p**4/13 - 126*p**3/13 - 1860*p**2/13 + 5888*p/13 + 61440/13 = 0.
-32, -5, 6
Suppose -3*z**2 - 252*z + 15375 = 0. Calculate z.
-125, 41
Determine w, given that -96*w**5 - 152*w**4 + 844*w**3 - 328*w**2 + 32*w = 0.
-4, 0, 1/6, 1/4, 2
Factor -2*h**2/5 + 125174*h/5 + 125176/5.
-2*(h - 62588)*(h + 1)/5
Factor 5*m**5 - 125*m**4 + 440*m**3 - 420*m**2.
5*m**2*(m - 21)*(m - 2)**2
Factor -4*o**2 - 3325656*o - 691249239396.
-4*(o + 415707)**2
Determine x so that 4*x**4 - 2020*x**3 - 4052*x**2 - 2028*x = 0.
-1, 0, 507
Factor -k**3/2 + 591*k**2/2 - 114399*k/2 + 7281009/2.
-(k - 249)*(k - 171)**2/2
Factor -3*b**3/5 - 612*b**2/5 + 1857*b/5 - 1242/5.
-3*(b - 2)*(b - 1)*(b + 207)/5
Factor 2*b**3/5 + 84*b**2/5 + 448*b/5 + 576/5.
2*(b + 2)*(b + 4)*(b + 36)/5
Determine f so that -10*f**5/13 - 212*f**4/13 - 1494*f**3/13 - 3868*f**2/13 - 2576*f/13 = 0.
-46/5, -7, -4, -1, 0
Factor 14*m**3 - 469424*m**2 + 3935047270*m - 1124260900.
2*(m - 16765)**2*(7*m - 2)
Factor -n**3/2 - 26117*n**2/2 - 52231*n/2 - 26115/2.
-(n + 1)**2*(n + 26115)/2
Find m such that -3*m**4/4 + 39*m**3/4 + 147*m**2/4 - 39*m/4 - 36 = 0.
-3, -1, 1, 16
Factor -4*i**3/5 + 5516*i**2 - 715052*i/5 + 4643444/5.
-4*(i - 6869)*(i - 13)**2/5
Solve 210*i**5 + 3965*i**4 - 24215*i**3 - 98795*i**2 + 13205*i + 4830 = 0.
-23, -3, -1/6, 2/7, 7
Find v such that -5*v**5 - 26088*v**4 - 5395504*v**3 - 378080254*v**2 - 8804625723*v + 3582689110 = 0.
-5005, -71, 2/5
Determine c so that -2*c**5/9 - 6*c**4 + 70*c**3/3 + 934*c**2/9 + 344*c/3 + 40 = 0.
-30, -1, 6
Let -5*m**5 - 75*m**4 - 285*m**3 - 5*m**2 + 1290*m + 1080 = 0. Calculate m.
-9, -4, -3, -1, 2
Let -2*o**3/3 - 105*o**2/2 - 467*o/2 + 185/3 = 0. What is o?
-74, -5, 1/4
Solve -y**5/4 - 69*y**4/2 - 1179*y**3/4 - 1159*y**2/2 + 135*y + 774 = 0.
-129, -6, -2, 1
Factor 4456*l**3 + 75756*l**2 + 68*l.
4*l*(l + 17)*(1114*l + 1)
Determine o so that 2*o**4/3 + 116*o**3 + 666*o**2 - 3052*o/3 - 1568 = 0.
-168, -7, -1, 2
Determine u so that -2*u**4 - 904*u**3 - 3590*u**2 - 2688*u = 0.
-448, -3, -1, 0
Factor -a**2/6 + 13157*a/6 + 2193.
-(a - 13158)*(a + 1)/6
Suppose 4*u**5 + 104964*u**4 + 688327628*u**3 - 3443422724*u**2 + 5510400192*u - 2755410064 = 0. What is u?
-13123, 1, 2
Factor -b**3/8 - 18835*b**2/8 - 37667*b/8 - 18833/8.
-(b + 1)**2*(b + 18833)/8
Factor -92*x**2 - 1152*x + 572.
-4*(x + 13)*(23*x - 11)
Factor 4*x**3 - 105396*x**2 + 694217100*x + 694322500.
4*(x - 13175)**2*(x + 1)
Factor 20*u**2 + 470692*u + 282408.
4*(u + 23534)*(5*u + 3)
Factor -3*f**3/5 + 13122*f**2/5 - 52452*f/5 + 10488.
-3*(f - 4370)*(f - 2)**2/5
Determine s so that s**4/2 + 667*s**3/2 + 41789*s**2/2 - 667*s/2 - 20895 = 0.
-597, -70, -1, 1
Solve 1171875*c**5/7 - 267191250*c**4/7 + 15230542503*c**3/7 - 48735684*c**2/7 + 38988*c/7 = 0 for c.
0, 1/625, 114
Factor -a**2/4 + 9*a/4 + 184.
-(a - 32)*(a + 23)/4
What is b in -2*b**4 - 52*b**3 - 448*b**2 - 1580*b - 1950 = 0?
-13, -5, -3
Factor -n**4/3 + 27*n**3 + n**2/3 - 27*n.
-n*(n - 81)*(n - 1)*(n + 1)/3
Suppose 25*l**4 + 29965*l**3 + 9135610*l**2 + 93370860*l - 38811960 = 0. Calculate l.
-594, -11, 2/5
Factor 3*r**3/8 - 129*r**2/4 - 5805*r/8 - 4725/2.
3*(r - 105)*(r + 4)*(r + 15)/8
Factor -3*q**2/8 - 25125*q/2 - 210421875/2.
-3*(q + 16750)**2/8
Find v such that -3*v**4 + 111*v**3 - 1287*v**2 + 5169*v - 3990 = 0.
1, 7, 10, 19
Determine w so that w**2 - 31216*w + 243609664 = 0.
15608
Determine t so that -t**2/3 - 10406*t/3 - 27071209/3 = 0.
-5203
Find v, given that -5*v**5 - 205*v**4 + 3790*v**3 - 3370*v**2 - 3785*v + 3575 = 0.
-55, -1, 1, 13
Factor -20*f**2 + 569*f/4 - 845/4.
-(f - 5)*(80*f - 169)/4
Solve 108*x**5 + 30384*x**4 - 369609*x**3 - 125733*x**2 - 10548*x = 0.
-293, -1/6, 0, 12
Factor n**4 - 16850*n**3 + 70997473*n**2 - 141944400*n + 70963776.
(n - 8424)**2*(n - 1)**2
Factor -2*q**2/7 + 19608*q/7 - 19606/7.
-2*(q - 9803)*(q - 1)/7
Suppose 11907*k**3/2 + 62748*k**2 + 1754175*k/8 + 2030625/8 = 0. Calculate k.
-475/126, -3
Factor 3*q**4 - 346648*q**3/5 + 400544831*q**2 + 53407210*q.
q*(q - 11555)**2*(15*q + 2)/5
Suppose -484*f**5 + 5016*f**4 + 32588*f**3 + 16704*f**2 - 9424*f + 960 = 0. What is f?
-4, -1, 2/11, 15
Solve -5*k**5 + 10*k**4 + 27305*k**3 + 758510*k**2 - 27300*k - 758520 = 0 for k.
-42, -1, 1, 86
Determine a, given that -10*a**3 - 26926*a**2 - 16148*a + 10768 = 0.
-2692, -1, 2/5
Find g such that -3*g**3 - 162*g**2 - 600*g = 0.
-50, -4, 0
Factor 7908*d**3 - 3*d**2 - 7908*d + 3.
3*(d - 1)*(d + 1)*(2636*d - 1)
What is v in 16*v**5/9 + 6280*v**4/9 + 9388*v**3/9 + 1558*v**2/9 - 2348*v/9 - 782/9 = 0?
-391, -1, -1/2, 1/2
Determine w so that -5*w**2 + 232645*w - 232640 = 0.
1, 46528
Let a**2 - 26566*a + 176438089 = 0. Calculate a.
13283
Factor 4*s**2/5 - 22848*s + 114236/5.
4*(s - 28559)*(s - 1)/5
Find r, given that r**3/8 - 3731*r**2/4 + 111731*r/8 - 96811/4 = 0.
2, 13, 7447
Factor 2*s**2 - 2*s - 684.
2*(s - 19)*(s + 18)
Factor 2*h**3/9 - 16*h**2 - 4094*h/9 - 1316/3.
2*(h - 94)*(h + 1)*(h + 21)/9
Factor 5*a**2 + 5370*a + 10720.
5*(a + 2)*(a + 1072)
Suppose 2*i**4/3 + 242*i**3/3 + 8114*i**2/3 + 15922*i + 21660 = 0. Calculate i.
-57, -5, -2
Factor 256*u**3/11 - 65568*u**2/11 - 32832*u/11 - 4106/11.
2*(4*u + 1)**2*(8*u - 2053)/11
Let -2*z**5/3 - 116*z**4/3 - 702*z**3 - 8936*z**2/3 + 66616*z/3 + 77440 = 0. What is z?
-22, -16, -3, 5
Factor 3872*k**3 + 231440*k**2 - 52750*k + 3000.
2*(k + 60)*(44*k - 5)**2
Factor -2*b**2/9 + 542*b/3 + 3892.
-2*(b - 834)*(b + 21)/9
Factor 4*q**3 - 852*q**2 + 11744*q + 26928.
4*(q - 198)*(q - 17)*(q + 2)
Let -111*q**5/2 - 832*q**4 - 5313*q**3/2 + 3576*q**2 - 32*q = 0. What is q?
-8, 0, 1/111, 1
Factor -u**3 - 413*u**2/3 + 910*u - 288.
-(u - 6)*(u + 144)*(3*u - 1)/3
Factor 3*x**3 - 906*x**2 + 19377*x - 35154.
3*(x - 279)*(x - 21)*(x - 2)
Factor 2*l**4/21 + 416*l**3/7 + 830*l**2/7 + 1244*l/21.
2*l*(l + 1)**2*(l + 622)/21
Let -2*c**5/7 - 964*c**4/7 + 7824*c**3/7 - 7904*c**2/7 - 31264*c/7 + 6720 = 0. Calculate c.
-490, -2, 2, 6
Factor -2*v**4/11 + 687356*v**3/11 - 59057283842*v**2/11.
-2*v**2*(v - 171839)**2/11
Let -2*z**2/5 + 112*z/5 + 208778 = 0. Calculat