*n**4 - 35*n**3 + 61*n**2 + 72*n - 76 = 0.
-19, -2, 1
Suppose 2*q**5/5 + 38*q**4/5 - 3044*q**3/5 + 584*q**2 + 1200*q = 0. What is q?
-50, -1, 0, 2, 30
Determine n, given that 4*n**4 + 488*n**3 - 66716*n**2 - 4977600*n + 416160000 = 0.
-136, 75
Determine z so that -3*z**4 + 138*z**3 + 5916*z**2 + 21912*z + 21312 = 0.
-24, -2, 74
Factor -2*b**3/9 - 314398*b**2/9 + 1257616*b/9 - 139736.
-2*(b - 2)**2*(b + 157203)/9
Let -4*b**3 + 100855*b**2 - 635720582*b - 158936449 = 0. Calculate b.
-1/4, 12607
Find c, given that 10*c**5 + 19715*c**4 - 148240*c**3 + 365950*c**2 - 326490*c + 89055 = 0.
-1979, 1/2, 1, 3
Solve 72361*f**5 + 511907*f**4 + 761370*f**3 + 54500*f**2 + 1000*f = 0 for f.
-5, -2, -10/269, 0
Factor 2*q**3 + 122*q**2 - 3040*q + 16200.
2*(q - 10)**2*(q + 81)
What is a in 3*a**2/5 + 522*a/5 - 1830681/5 = 0?
-873, 699
Suppose -4*a**5 + 456*a**4 - 19332*a**3 + 361152*a**2 - 2509056*a = 0. What is a?
0, 24, 33
Factor p**3/4 + 983083*p**2/4 + 1966163*p/4 + 983081/4.
(p + 1)**2*(p + 983081)/4
Determine f, given that -f**2 + 14515*f = 0.
0, 14515
Suppose 32*c**3 + 1034*c**2 + 8512*c + 2560 = 0. What is c?
-16, -5/16
Suppose -60512*a**2/7 - 30260*a/7 - 2/7 = 0. Calculate a.
-1/2, -1/15128
Determine w, given that 2467971372*w**2 + 172092*w + 3 = 0.
-1/28682
Find k, given that -2*k**2/9 + 5246*k/3 - 31468/9 = 0.
2, 7867
Factor -295*n**2 + 4295*n + 4590.
-5*(n + 1)*(59*n - 918)
Let -18*k**5 + 2274*k**4 + 34324*k**3 + 16744*k**2 - 70768*k + 29120 = 0. Calculate k.
-13, -2, 2/3, 140
What is p in -p**2/3 + 971*p + 2916 = 0?
-3, 2916
Let i**3/7 - 429*i**2/7 + 6897*i - 480491/7 = 0. What is i?
11, 209
Factor -z**2/10 - 895*z - 8949/10.
-(z + 1)*(z + 8949)/10
Factor -2*m**4/11 - 24424*m**3/11 + 48854*m**2/11 - 24428*m/11.
-2*m*(m - 1)**2*(m + 12214)/11
Factor 2*g**2 + 2018*g + 41496.
2*(g + 21)*(g + 988)
Solve -g**2/7 - 4099*g/7 - 8194/7 = 0.
-4097, -2
Let 2*c**3/9 + 2593804*c**2/9 - 5187614*c/9 + 2593808/9 = 0. What is c?
-1296904, 1
Factor -266*z**2/5 + 36712*z/5 - 552/5.
-2*(z - 138)*(133*z - 2)/5
Find j, given that j**2/10 - 792*j/5 + 4743/10 = 0.
3, 1581
Let -41*i**2/2 - 5673*i/2 - 1035 = 0. Calculate i.
-138, -15/41
What is a in 145*a**4 - 433*a**3 + 284*a**2 + 4*a = 0?
-2/145, 0, 1, 2
Factor h**2/2 + 1426*h - 2853/2.
(h - 1)*(h + 2853)/2
Find v, given that -63355*v**2/4 - 823605*v/4 + 65/2 = 0.
-13, 2/12671
Solve -5*d**2/3 - 307180*d/3 + 102395 = 0.
-61437, 1
Let -o**5/8 - 41*o**4 - 31021*o**3/8 - 333219*o**2/4 - 690975*o/2 - 388125 = 0. Calculate o.
-150, -23, -3, -2
Determine b, given that 2*b**2/19 - 262*b + 14916/19 = 0.
3, 2486
Factor 4*a**3 - 50896*a**2 + 161849268*a + 323902152.
4*(a - 6363)**2*(a + 2)
Solve s**3/6 - 103*s**2/2 + 1520*s - 35456/3 = 0 for s.
16, 277
Factor -d**3/4 + 163*d**2/4 + 4889*d/4 + 4725/4.
-(d - 189)*(d + 1)*(d + 25)/4
Let 24*r**5 - 88884*r**4 - 88941*r**3/2 + 83328*r**2 + 88893*r/2 + 5556 = 0. What is r?
-1, -1/4, 1, 3704
Factor -3*k**2/5 - 5199*k/5 - 10386/5.
-3*(k + 2)*(k + 1731)/5
Solve -f**5/3 + 68*f**4 + 14609*f**3/3 + 23176*f**2 + 109412*f/3 + 18096 = 0 for f.
-52, -2, -1, 261
Let -b**3 - 6175*b**2 = 0. Calculate b.
-6175, 0
Let -d**3 + 53*d**2 - 216*d - 1152 = 0. What is d?
-3, 8, 48
Find x such that -x**4/3 + 82*x**3/3 = 0.
0, 82
Solve -18*k**5 + 88*k**4 + 3358*k**3 + 15276*k**2 + 13320*k + 1296 = 0 for k.
-6, -1, -1/9, 18
Let -m**3/2 + 697*m**2/2 - 5107*m - 5456 = 0. What is m?
-1, 16, 682
Solve -687*y**3/7 + 4140*y**2/7 - 3543*y/7 + 90/7 = 0 for y.
6/229, 1, 5
Find v, given that -3*v**5 + 2379*v**4 - 617475*v**3 + 49374681*v**2 + 791484618*v + 2335813080 = 0.
-10, -4, 269
Factor -3*z**2 + 4575*z - 81378.
-3*(z - 1507)*(z - 18)
Suppose -2*t**3 + 127*t**2 - 1016*t - 540 = 0. Calculate t.
-1/2, 10, 54
Factor -5*a**2 - 97340*a - 473753780.
-5*(a + 9734)**2
Factor -25*k**2/4 + 777735*k/4 - 155545/2.
-5*(k - 31109)*(5*k - 2)/4
Let 2*z**4/11 + 2868*z**3/11 + 831618*z**2/11 - 140933520*z/11 + 4829479200/11 = 0. What is z?
-780, 63
Let 3*r**4 + 80889*r**3 + 728346519*r**2 + 2202142526283*r + 108296352391650 = 0. Calculate r.
-8971, -50
Let -3*q**2 + 831*q/5 - 5082/5 = 0. Calculate q.
7, 242/5
Factor -r**2 + 214084*r - 11457989764.
-(r - 107042)**2
Solve -4*d**3 - 488*d**2 + 61292*d = 0 for d.
-199, 0, 77
Let -2*z**2/7 - 19478*z/7 - 19464 = 0. Calculate z.
-9732, -7
Let -10*c**5/17 + 3134*c**4/17 + 74610*c**3/17 + 26186*c**2 + 127600*c/17 - 650496/17 = 0. What is c?
-11, -8/5, 1, 336
What is m in -2*m**2/9 - 48532*m = 0?
-218394, 0
Find h such that -19*h**3/3 + 1039*h**2 + 15728*h - 2492/3 = 0.
-14, 1/19, 178
Determine f so that 4*f**2 + 9536*f - 143940 = 0.
-2399, 15
Suppose 3*b**5 + 849*b**4 + 9045*b**3 + 18663*b**2 - 28560*b = 0. Calculate b.
-272, -7, -5, 0, 1
Determine g, given that -g**3 - 126*g**2 - 720*g = 0.
-120, -6, 0
Factor -q**2/3 - 59464*q - 2651975472.
-(q + 89196)**2/3
Suppose 5*o**2/4 + 11745*o/4 - 230375 = 0. Calculate o.
-2425, 76
Factor -2*c**4/5 - 1392*c**3/5 - 2776*c**2/5.
-2*c**2*(c + 2)*(c + 694)/5
Solve 5*g**4 + 435*g**3 - 3705*g**2 + 8965*g - 5700 = 0 for g.
-95, 1, 3, 4
Factor -2*j**3 + 16118*j**2 + 16120*j.
-2*j*(j - 8060)*(j + 1)
Determine x so that -3*x**3 + 4647*x**2 - 233685*x + 229041 = 0.
1, 51, 1497
Factor g**2 + 179*g + 7968.
(g + 83)*(g + 96)
Solve 5*f**3 + 14115*f**2 - 84870*f = 0 for f.
-2829, 0, 6
Let -5*d**2 - 66650*d + 266680 = 0. Calculate d.
-13334, 4
Find m, given that -26*m**2 - 2954*m/3 + 380/3 = 0.
-38, 5/39
Let -t**5/2 - 22*t**4 - 265*t**3/2 + 2549*t**2 - 2990*t - 16900 = 0. What is t?
-26, -2, 5
Determine s so that -5*s**3 + 510*s**2 + 1080*s - 4160 = 0.
-4, 2, 104
Factor q**3 + 73*q**2 - 2732*q + 9696.
(q - 24)*(q - 4)*(q + 101)
Let 3*a**4/4 - 15573*a**3 + 80839443*a**2 = 0. What is a?
0, 10382
Factor t**2/6 + 577*t/6 - 2044/3.
(t - 7)*(t + 584)/6
Let -4*w**5/7 + 36*w**4/7 + 236*w**3/7 - 252*w**2 - 280*w = 0. What is w?
-7, -1, 0, 7, 10
Factor 3*r**4 - 369*r**3 + 14343*r**2 - 175491*r + 296514.
3*(r - 51)**2*(r - 19)*(r - 2)
Solve -2*j**4/3 - 31016*j**3/3 - 40103680*j**2 - 160249344*j = 0 for j.
-7752, -4, 0
Suppose -240*c**5 - 4652840*c**4 - 8529655*c**3 - 4943235*c**2 - 1163105*c - 96925 = 0. Calculate c.
-19385, -1, -1/3, -1/4
Suppose i**5/4 - 57*i**4/4 + 258*i**3 - 1588*i**2 + 3648*i - 2304 = 0. Calculate i.
1, 4, 24
Let 20*y**5 + 305*y**4 + 820*y**3 - 2195*y**2 + 1050*y = 0. What is y?
-10, -7, 0, 3/4, 1
Determine z so that 3*z**4 - 1620*z**3 + 303474*z**2 - 22888980*z + 598885923 = 0.
71, 199
What is l in l**2/4 - 74225*l/2 + 5509350625/4 = 0?
74225
What is g in 5*g**5 + 757*g**4 + 3972*g**3 + 4388*g**2 + 1168*g = 0?
-146, -4, -1, -2/5, 0
Find f, given that f**2/3 - 16793*f/3 + 167830/3 = 0.
10, 16783
Determine c so that 28*c**3 + 10237688*c**2 + 935804390912*c - 267373518848 = 0.
-182816, 2/7
Factor -j**3/2 - 555*j**2/2 - 8644*j - 16182.
-(j + 2)*(j + 31)*(j + 522)/2
Factor 7*q**3 - 2729*q**2 + 263032*q + 576240.
(q - 196)**2*(7*q + 15)
What is d in 2*d**5/11 - 1292*d**4 - 8*d**3/11 + 5168*d**2 = 0?
-2, 0, 2, 7106
Let 2*s**4 + 82*s**3 - 1054*s**2 - 1602*s + 6732 = 0. What is s?
-51, -3, 2, 11
What is g in -g**2/2 + 1023*g/2 - 511 = 0?
1, 1022
Suppose -3*w**5/5 + 501*w**4/5 + 411*w**3 - 501*w**2/5 - 2052*w/5 = 0. What is w?
-4, -1, 0, 1, 171
Find f such that f**2/4 + 205*f/2 + 10044 = 0.
-248, -162
Solve 84*a**3 + 73929*a**2 + 81756*a + 7911 = 0 for a.
-879, -1, -3/28
Factor 3*o**5 - 116331*o**4 + 1504198215*o**3 - 6492605700249*o**2 + 90601976050362*o.
3*o*(o - 12921)**3*(o - 14)
Factor -3*k**2 + 185163*k - 370314.
-3*(k - 61719)*(k - 2)
Find p, given that -5*p**4 - 1680*p**3 + 3375*p**2 - 1690*p = 0.
-338, 0, 1
Find f such that 9*f**2/2 + 21504*f - 14337/2 = 0.
-4779, 1/3
Factor -d**3/3 - 2035*d**2/3 - 22252*d/3 + 8096.
-(d - 1)*(d + 12)*(d + 2024)/3
Let -2*v**4/7 - 680*v**3/7 - 6646*v**2/7 - 15208*v/7 - 1320 = 0. What is v?
-330, -7, -2, -1
Determine h so that h**3/9 - 6998*h**2/9 - 30371*h/3 - 23370 = 0.
-10, -3, 7011
Factor 2*y**5/11 - 602*y**4/11 + 1794*y**3/11 - 1790*y**2/11 + 596*y/11.
2*y*(y - 298)*(y - 1)**3/11
Find c such that -2*c**3/7 - 14*c**2 + 12994*c/7 - 12210 = 0.
-111, 7, 55
Determine k so that 92*k**4/11 - 74*k**3/11 - 1748*k**2/11 + 4166*k/11 - 2220/11 = 0.
-5, 37/46, 2, 3
Suppose -2*w**3/9 + 288*w**2 + 18080*w = 0. What is w?
-60, 0, 1356