91.
-(u - 14)*(18*u - 13)/2
Determine x, given that 4*x**5 - 108*x**4 + 396*x**3 + 2268*x**2 = 0.
-3, 0, 9, 21
Determine j, given that -3*j**4/2 + 201*j**3/2 + 873*j**2/2 - 1461*j/2 - 1065 = 0.
-5, -1, 2, 71
Let -3*i**5/7 + 663*i**4/7 - 40554*i**3/7 + 624180*i**2/7 - 2819400*i/7 = 0. Calculate i.
0, 10, 74, 127
Determine m so that -m**4/2 - 13*m**3 + 734*m**2 - 8099*m + 48165/2 = 0.
-57, 5, 13
Factor -4*u**4 + 2796*u**3 - 672300*u**2 + 60142500*u - 1093500000.
-4*(u - 225)**3*(u - 24)
Find v such that -8*v**2 - 1340*v - 54488 = 0.
-98, -139/2
What is y in -y**3/3 + 551*y**2 + 6628*y/3 = 0?
-4, 0, 1657
Factor 10*u**2 + 57014*u + 22804.
2*(u + 5701)*(5*u + 2)
Factor 10*s**3/9 + 454*s**2/9 + 3140*s/9 + 1184/9.
2*(s + 8)*(s + 37)*(5*s + 2)/9
What is b in -b**5 + 1444*b**4 + 3*b**3 - 4330*b**2 - 2888*b = 0?
-1, 0, 2, 1444
Suppose a**2 + 153266*a + 459789 = 0. Calculate a.
-153263, -3
Determine o so that -3*o**5 + 17778*o**4 + 267162*o**3 + 1087140*o**2 + 374577*o - 1746654 = 0.
-7, -2, 1, 5941
Suppose -2*i**5/9 - 28*i**4/9 + 172*i**3/9 + 3344*i**2/9 + 8470*i/9 + 5324/9 = 0. Calculate i.
-11, -2, -1, 11
What is t in 36*t**2 - 308*t - 2080 = 0?
-40/9, 13
Solve -z**3/3 + 1673*z**2/3 - 571055*z/3 - 112206425/3 = 0 for z.
-137, 905
Solve -h**5/2 - 18*h**4 + 77*h**3/2 + 18*h**2 - 38*h = 0.
-38, -1, 0, 1, 2
Factor -3011*i**4/5 + 177647*i**3/5 + 118*i**2/5.
-i**2*(i - 59)*(3011*i + 2)/5
Factor x**3 + 105*x**2 - 658*x + 888.
(x - 4)*(x - 2)*(x + 111)
Let 4*u**4 + 7020*u**3 + 793132*u**2 + 23565780*u + 22779664 = 0. Calculate u.
-1636, -59, -1
Solve -t**2/2 - 295*t/2 - 147 = 0.
-294, -1
Suppose -a**5/5 + a**4/5 + 78*a**3/5 - 292*a**2/5 + 56*a = 0. What is a?
-10, 0, 2, 7
Determine g so that 70*g**4 - 2605*g**3 - 63705*g**2 + 13770*g = 0.
-17, 0, 3/14, 54
Factor o**2/4 - 187929*o/2 - 375859/4.
(o - 375859)*(o + 1)/4
Factor 2*a**3/9 - 20690*a**2/9 + 41362*a/3 - 20678.
2*(a - 10339)*(a - 3)**2/9
Factor -2*y**2/9 - 2246*y/9 + 500.
-2*(y - 2)*(y + 1125)/9
What is n in -4*n**3 - 8864*n**2 - 17700*n + 26568 = 0?
-2214, -3, 1
Determine a so that -396*a**5 + 2384*a**4 + 3120*a**3 - 2440*a**2 - 2724*a + 56 = 0.
-1, 2/99, 1, 7
Find x such that -x**2 + 22583*x + 90348 = 0.
-4, 22587
Factor 3*a**2 + 990*a + 51072.
3*(a + 64)*(a + 266)
Factor -4*p**2/3 + 303544*p/3 - 5758684996/3.
-4*(p - 37943)**2/3
What is c in -3*c**3 + 3351*c**2 - 20025*c + 29997 = 0?
3, 1111
Let 196*y**4/5 - 406*y**3/5 - 118*y**2/5 + 256*y/5 + 72/5 = 0. What is y?
-9/14, -2/7, 1, 2
Factor -2*f**3 - 4670*f**2.
-2*f**2*(f + 2335)
Factor -k**2/6 + 138824*k/3 - 9636051488/3.
-(k - 138824)**2/6
Solve 5*k**2 - 6803130*k + 2314128889845 = 0.
680313
Suppose -4*t**5 - 8*t**4 + 76*t**3 + 32*t**2 - 240*t = 0. What is t?
-5, -2, 0, 2, 3
Solve -3*m**3 + 747*m**2 - 48312*m + 223260 = 0.
5, 122
Suppose -8*g**3 - 774748*g**2 - 387372*g = 0. What is g?
-96843, -1/2, 0
Determine v so that -3*v**2/7 + 22416*v/7 - 22413/7 = 0.
1, 7471
Find x such that 4*x**2/3 + 7316*x/3 = 0.
-1829, 0
What is t in -4*t**2 - 764*t + 122720 = 0?
-295, 104
Suppose 5*p**2 - 292620*p + 4281323220 = 0. What is p?
29262
Factor -27*m**3/4 + 607*m**2 + 1287*m + 92.
-(m - 92)*(m + 2)*(27*m + 2)/4
Determine q, given that 3*q**3 - 81*q**2 + 126*q + 5880 = 0.
-7, 14, 20
Suppose 4*k**3/9 - 18268*k**2/9 + 145888*k/9 = 0. What is k?
0, 8, 4559
Suppose 2*m**3/7 + 2846*m**2/7 + 8520*m/7 = 0. Calculate m.
-1420, -3, 0
Factor -2*w**3 + 134*w**2 + 1440*w - 5472.
-2*(w - 76)*(w - 3)*(w + 12)
Factor 3*d**5/4 + 87*d**4 - 540*d**3 + 1092*d**2 - 732*d.
3*d*(d - 2)**3*(d + 122)/4
Solve -4*c**5 + 1356*c**4 + 12*c**3 - 4060*c**2 - 2712*c = 0.
-1, 0, 2, 339
Determine a so that 5*a**5 - 4065*a**4 + 824170*a**3 + 832310*a**2 - 824175*a - 828245 = 0.
-1, 1, 407
Let -j**4 - 143*j**3 - 411*j**2 + 1255*j - 700 = 0. Calculate j.
-140, -5, 1
Solve a**4 - 26*a**3 + 65*a**2 + 104*a - 276 = 0 for a.
-2, 2, 3, 23
Solve -38*n**5/21 - 128*n**4/7 - 914*n**3/21 - 208*n**2/7 - 8*n/3 = 0.
-7, -2, -1, -2/19, 0
Factor -39*g**3/2 + 2787*g**2 - 201711*g/2 + 90738.
-3*(g - 71)**2*(13*g - 12)/2
Find q such that 1083*q**4 + 28329*q**3 - 54756*q**2 + 30720*q - 5376 = 0.
-28, 8/19, 1
Factor 2*g**2/5 + 11224*g + 78736360.
2*(g + 14030)**2/5
Solve 2*h**3/5 - 2144*h**2/5 + 52398*h/5 - 50256/5 = 0.
1, 24, 1047
Let 75843*o**3 + 265530*o**2 + 697225*o/3 = 0. What is o?
-835/477, 0
Let 2*g**5/3 + 94*g**4/3 + 1594*g**3/3 + 12242*g**2/3 + 13836*g + 15120 = 0. What is g?
-20, -9, -7, -2
Determine x so that -2*x**4/3 + 1580*x**3/3 + 8*x**2 - 18992*x/3 + 25280/3 = 0.
-4, 2, 790
Factor -3*j**3/5 + 66*j**2/5 + 7941*j/5 + 7872/5.
-3*(j - 64)*(j + 1)*(j + 41)/5
Find a such that -2*a**2/15 - 3574*a/15 + 26532/5 = 0.
-1809, 22
Factor 2*w**2 - 182592*w + 4167479808.
2*(w - 45648)**2
Suppose -2*g**4/7 + 340*g**3/7 + 5424*g**2/7 - 2073940*g/7 - 2079022/7 = 0. Calculate g.
-71, -1, 121
Determine v, given that -v**3/4 - 95*v**2/4 + 931*v/2 - 1176 = 0.
-112, 3, 14
Let 6*v**3 + 940*v**2 + 10046*v - 15080 = 0. Calculate v.
-145, -13, 4/3
Factor -159*h**3 + 953*h**2 - 789*h - 5.
-(h - 5)*(h - 1)*(159*h + 1)
Solve -16*w**3 + 98*w**2 - 90*w = 0 for w.
0, 9/8, 5
Determine i, given that 30*i**4 + 848*i**3 + 4064*i**2 - 29696*i - 8192 = 0.
-16, -4/15, 4
Let 3*l**5 + 420*l**4 - 2154*l**3 + 3036*l**2 - 1305*l = 0. What is l?
-145, 0, 1, 3
Factor -s**3/5 + 21196*s**2/5 + 42399*s/5 - 63594/5.
-(s - 21198)*(s - 1)*(s + 3)/5
Factor 3*z**4/2 + 38829*z**3/2 + 125582673*z**2/2 - 377097561*z/2.
3*z*(z - 3)*(z + 6473)**2/2
Factor o**2 - 2880*o.
o*(o - 2880)
Factor 2*r**2/9 + 38280*r + 1648528200.
2*(r + 86130)**2/9
Suppose -12*u**5 - 640*u**4/3 + 516*u**3 - 344*u**2 + 160*u/3 = 0. Calculate u.
-20, 0, 2/9, 1
Factor -h**4 - 35*h**3 + 64*h**2 + 7280*h.
-h*(h - 13)*(h + 20)*(h + 28)
Determine l, given that -2*l**2/3 + 3310*l/3 + 46732/3 = 0.
-14, 1669
Determine d, given that -2*d**4/11 - 16*d**3/11 + 510*d**2/11 - 2252*d/11 + 160 = 0.
-22, 1, 5, 8
Factor -2*s**4/5 + 122*s**3/5 - 2394*s**2/5 + 2646*s + 37044/5.
-2*(s - 21)**3*(s + 2)/5
Find a, given that -245*a**5 + 1260*a**4 - 885*a**3 - 3290*a**2 + 2340*a + 3240 = 0.
-1, 2, 18/7
Solve 3*p**2 - 3567906*p + 1060829435403 = 0.
594651
Factor -3*b**3/5 + 7533*b**2/5 - 948024*b + 14152644/5.
-3*(b - 1254)**2*(b - 3)/5
Find o, given that -15*o**3 + 16400*o**2 - 119380*o - 86880 = 0.
-2/3, 8, 1086
What is g in 2*g**5/9 + 8*g**4 - 86*g**3/9 - 148*g**2/3 = 0?
-37, -2, 0, 3
Factor 3*s**4 - 735*s**3 + 8349*s**2 + 9087*s.
3*s*(s - 233)*(s - 13)*(s + 1)
Let y**2 - 57*y + 432 = 0. What is y?
9, 48
Suppose f**5/4 + 30*f**4 + 2553*f**3/2 + 21904*f**2 + 455877*f/4 = 0. What is f?
-37, -9, 0
Solve y**2/7 - 26136*y/7 + 52268/7 = 0 for y.
2, 26134
Find b, given that -33*b**4 - 877938*b**3 - 159624*b**2 = 0.
-26604, -2/11, 0
Let -2*c**2 - 12086*c + 36276 = 0. What is c?
-6046, 3
Find o such that -5*o**5 + 380*o**4 - 4920*o**3 - 5690*o**2 + 4925*o + 5310 = 0.
-1, 1, 18, 59
Factor -i**2 - 570787*i/2 - 285393/2.
-(i + 285393)*(2*i + 1)/2
Factor -n**3/3 + 155*n**2 + 156*n - 932/3.
-(n - 466)*(n - 1)*(n + 2)/3
Suppose -4*a**5 - 14*a**4 + 4624*a**3 + 53036*a**2 - 87612*a + 29970 = 0. What is a?
-27, -15, 1/2, 1, 37
Find f such that f**2 + 404*f + 1600 = 0.
-400, -4
Factor -2*u**4/13 + 45634*u**3/13 + 273852*u**2/13 + 547736*u/13 + 365168/13.
-2*(u - 22823)*(u + 2)**3/13
Factor 3*g**3/4 + 9*g**2/2 - 189*g/4 - 294.
3*(g - 8)*(g + 7)**2/4
Let 2*i**3 + 197830*i**2 + 4891989696*i - 4892187528 = 0. Calculate i.
-49458, 1
Find q such that 4*q**4/7 - 124*q**3/7 - 2544*q**2/7 - 9776*q/7 - 7360/7 = 0.
-10, -4, -1, 46
Factor -r**2/4 - 17737*r/4 + 31052.
-(r - 7)*(r + 17744)/4
Solve 3*b**3 + 3936*b**2 - 3*b - 3936 = 0.
-1312, -1, 1
Determine u so that 8*u**5 + 64*u**4 - 102870*u**3 - 308930*u**2 - 231748*u - 51504 = 0.
-116, -2, -1/2, 111
Find n such that -9*n**2/5 - 1931376*n/5 - 643791/5 = 0.
-214597, -1/3
Factor -532*c**2 - 1077*c - 26.
-(c + 2)*(532*c + 13)
Factor 3*m**3 + 147*m**2 - 1926*m + 3240.
3*(m - 9)*(m - 2)*(m + 60)
Find p, given that -3*p**5/4 - 15*p**4/4 + 633*p**3/2 - 3255*p**2/2 - 16863*p/4 - 9075/4 = 0.
-25, -1, 11
Solve 3*t**3/7 + 507*t**2/7 - 1542*t/7 + 1032/7 = 0 for t.
-172, 1, 2
What is y in -3*y**4 - 144*y**3 + 1239*y**2 + 4680*y + 3300 = 0?
-55, -2, -1, 10
Solve -30*h**5 - 77935*h**4 + 559610*h**