 t, given that -6*t**3 + 291*t**2 - 2793*t - 1470 = 0.
-1/2, 14, 35
Factor 4*d**3/7 - 4140*d**2/7 - 4*d/7 + 4140/7.
4*(d - 1035)*(d - 1)*(d + 1)/7
Suppose 4*f**2 - 3344*f + 36300 = 0. What is f?
11, 825
Factor 86375*q**3 - 172660*q**2 + 86195*q + 90.
5*(q - 1)**2*(17275*q + 18)
Solve 2*s**4 - 11064*s**3 - 66440*s**2 - 88608*s = 0 for s.
-4, -2, 0, 5538
Suppose 4*u**4 + 36*u**3 - 756*u**2 + 2396*u - 1680 = 0. Calculate u.
-20, 1, 3, 7
Factor -2*d**4/13 + 5000*d**3/13 - 3125000*d**2/13.
-2*d**2*(d - 1250)**2/13
Factor -d**2 + 19034*d + 76152.
-(d - 19038)*(d + 4)
Solve -2*u**5/3 + 12*u**4 + 100*u**3/3 - 440*u**2 + 2782*u/3 - 532 = 0 for u.
-7, 1, 2, 3, 19
Solve -49*m**4 - 3132*m**3 + 6675*m**2 - 3758*m + 264 = 0 for m.
-66, 4/49, 1
Factor -3*k**2/7 - 1545*k/7 + 6516.
-3*(k - 28)*(k + 543)/7
Determine x so that 32*x**4/3 + 16016*x**3 - 56170*x**2 + 75244*x/3 - 3010 = 0.
-1505, 1/4, 3
Solve 2*h**3 + 1168*h**2 + 24728*h = 0.
-562, -22, 0
Suppose 2*s**4/17 - 26*s**3 + 5348*s**2/17 + 12480*s/17 = 0. Calculate s.
-2, 0, 15, 208
Determine s, given that -s**3/3 - 4813*s**2/3 + 17680*s - 38592 = 0.
-4824, 3, 8
What is a in -6*a**5/7 + 44*a**4/7 + 1154*a**3/7 - 9416*a**2/7 - 968*a = 0?
-14, -2/3, 0, 11
Determine r, given that r**4/5 - 228*r**3/5 - 92*r**2 = 0.
-2, 0, 230
Suppose 2*p**3 - 3088*p**2 + 12328*p - 12320 = 0. What is p?
2, 1540
Factor -5*j**2 + 17647420*j - 15571571632820.
-5*(j - 1764742)**2
Let 19*k**3/10 + 87*k**2/2 - 1353*k/5 + 28 = 0. What is k?
-28, 2/19, 5
Solve -279*u**2 + 831*u + 18 = 0 for u.
-2/93, 3
Find n such that 5*n**4 - 19780*n**3 + 19601940*n**2 - 78170560*n + 78091520 = 0.
2, 1976
Factor -4*h**2 - 1185086*h - 592542.
-2*(h + 296271)*(2*h + 1)
Factor 5*y**2 - 574560*y + 16505959680.
5*(y - 57456)**2
Solve 4*n**4 - 2153*n**3/4 - 477*n**2/2 + 1215*n/4 = 0.
-1, 0, 9/16, 135
Suppose w**5/5 + 95*w**4 + 55199*w**3/5 - 57695*w**2 - 11040*w + 57600 = 0. What is w?
-240, -1, 1, 5
Solve -4*h**3 + 14620*h**2 - 664236*h + 649620 = 0 for h.
1, 45, 3609
Solve -4*a**2 - 68019*a + 17005 = 0 for a.
-17005, 1/4
Factor -w**2/3 + 8974*w + 26923/3.
-(w - 26923)*(w + 1)/3
What is z in -8*z**4 + 21380*z**3 - 53416*z**2 + 42724*z - 10680 = 0?
1/2, 1, 2670
What is l in l**3 + 1273*l**2 + 7611*l + 11403 = 0?
-1267, -3
Let 3*m**5 + 900*m**4 - 7329*m**3 + 19350*m**2 - 16632*m = 0. What is m?
-308, 0, 2, 3
Suppose 4*v**3 - 676*v**2 + 28936*v - 55200 = 0. What is v?
2, 75, 92
Factor -2*m**2/5 - 1908*m/5 - 24466/5.
-2*(m + 13)*(m + 941)/5
Suppose 3*b**5/2 - 810*b**4 - 4971*b**3/2 + 22806*b**2 = 0. Calculate b.
-7, 0, 4, 543
Solve 1913445075*w**3 - 5740638285*w**2 + 909192*w - 36 = 0.
2/25255, 3
Factor 2*q**2 + 3362*q - 281760.
2*(q - 80)*(q + 1761)
Determine f so that -4*f**5 + 332*f**4 + 2524*f**3 - 332*f**2 - 2520*f = 0.
-7, -1, 0, 1, 90
Factor 3*i**3 - 2304*i**2 - 44805*i - 42498.
3*(i - 787)*(i + 1)*(i + 18)
Factor 4*y**2 - 1076*y.
4*y*(y - 269)
Factor -3*b**2/7 - 224754*b/7 - 4209530043/7.
-3*(b + 37459)**2/7
Solve -2*y**3/17 - 22864*y**2/17 - 65207912*y/17 + 785790816/17 = 0 for y.
-5722, 12
Determine t so that -t**2/2 - 3887*t/2 - 1943 = 0.
-3886, -1
Let 2*f**5/3 - 808*f**4/9 - 278*f**3/9 + 120*f**2 = 0. Calculate f.
-4/3, 0, 1, 135
Factor -r**4/2 + 69*r**3 + 1200*r**2 + 4928*r.
-r*(r - 154)*(r + 8)**2/2
Determine m so that -4*m**5 + 100*m**4 + 4328*m**3 + 33024*m**2 + 28800*m = 0.
-12, -1, 0, 50
Let 3*f**5 + 138*f**4 - 1161*f**3 - 85956*f**2 - 167892*f - 83232 = 0. Calculate f.
-34, -1, 24
Factor -381*n**5 - 219*n**4 + 162*n**3.
-3*n**3*(n + 1)*(127*n - 54)
Suppose 2*q**5/7 + 180*q**4/7 - 416*q**3/7 - 4416*q**2/7 = 0. Calculate q.
-92, -4, 0, 6
Determine p so that -3*p**5 + 384*p**4 + 5463*p**3 + 5076*p**2 = 0.
-12, -1, 0, 141
Factor z**2/2 - 1380*z + 2759/2.
(z - 2759)*(z - 1)/2
Suppose -w**3/3 + 12506*w**2/3 + 25015*w/3 + 12508/3 = 0. Calculate w.
-1, 12508
Solve p**2/4 - 593*p/4 + 5453/2 = 0.
19, 574
Suppose o**5 + 1299*o**4 + 399915*o**3 - 14218443*o**2 + 138821040*o - 299400300 = 0. Calculate o.
-666, 3, 15
Factor i**3/8 - 81*i**2/4 - 831*i/8 - 167/2.
(i - 167)*(i + 1)*(i + 4)/8
Solve 294*j**3 - 5656*j**2 - 13312*j/3 - 2560/3 = 0 for j.
-8/21, 20
Solve q**3/10 - 7*q**2/5 - 681*q/10 - 189 = 0.
-18, -3, 35
Solve -2*u**5 - 48*u**4 + 106*u**3 + 48*u**2 - 104*u = 0 for u.
-26, -1, 0, 1, 2
Let -3*n**2 - 88810*n - 29603 = 0. Calculate n.
-29603, -1/3
Factor -3*f**2/8 + 599265*f/2 - 119706180075/2.
-3*(f - 399510)**2/8
Suppose l**2 + 174*l - 3456 = 0. What is l?
-192, 18
Factor -2*w**2 - 72974*w + 72976.
-2*(w - 1)*(w + 36488)
Find h such that -2*h**5 - 158*h**4 - 4356*h**3 - 46700*h**2 - 136250*h - 93750 = 0.
-25, -3, -1
Factor 8*c**3 + 1436*c**2 - 2180*c - 1448.
4*(c - 2)*(c + 181)*(2*c + 1)
Factor -3*u**2/4 - 711*u/4 + 22386.
-3*(u - 91)*(u + 328)/4
Suppose -3*l**3/2 - 1020*l**2 + 6174*l = 0. Calculate l.
-686, 0, 6
Determine s, given that 5*s**3 - 3290*s**2 + 404780*s - 13963800 = 0.
74, 510
Let 4*n**2 + 1468717*n + 367179 = 0. Calculate n.
-367179, -1/4
Suppose 3*s**3/2 - 12795*s**2/2 + 31950*s = 0. Calculate s.
0, 5, 4260
What is g in -5*g**3 + 21530*g**2 + 64625*g + 43090 = 0?
-2, -1, 4309
Find g such that 21*g**5/8 - 219*g**4/2 + 5397*g**3/8 + 30543*g**2/4 - 11817*g/2 - 2295 = 0.
-6, -2/7, 1, 17, 30
Suppose 4489*c**2/5 - 5092*c/5 + 1444/5 = 0. What is c?
38/67
Factor 5*a**4/6 + 2315*a**3/6 - 99345*a**2/2 + 11533825*a/6 - 72687055/3.
5*(a - 37)**3*(a + 574)/6
Find h, given that -3*h**5 - 54*h**4 - 3*h**3 + 2160*h**2 - 2100*h = 0.
-14, -10, 0, 1, 5
Solve -3*i**2 - 1851*i - 21780 = 0.
-605, -12
Factor -5*y**3 - 545*y**2 - 9430*y - 16720.
-5*(y + 2)*(y + 19)*(y + 88)
Let 16*l**4/9 - 94*l**3/9 - 142*l**2/9 + 94*l/9 + 14 = 0. Calculate l.
-9/8, -1, 1, 7
Factor -f**2 + 42234*f - 445927689.
-(f - 21117)**2
Solve 3*f**5 + 3*f**4 - 399*f**3 - 795*f**2 - 396*f = 0 for f.
-11, -1, 0, 12
Suppose -2*q**4/7 + 142*q**3/7 + 1226*q**2/7 + 2978*q/7 + 1896/7 = 0. What is q?
-4, -3, -1, 79
Find c, given that 4*c**3/9 + 1868*c**2/9 + 241120*c/9 + 580800 = 0.
-220, -27
Factor z**3/9 + 113*z**2/9 + 1312*z/3 + 4352.
(z + 17)*(z + 48)**2/9
Factor 4*i**3 + 400*i**2 + 172*i - 22176.
4*(i - 7)*(i + 8)*(i + 99)
Factor 3*u**5/2 - 1773*u**4/2 + 10557*u**3/2 - 15795*u**2/2.
3*u**2*(u - 585)*(u - 3)**2/2
Factor -2*t**4/19 + 71056*t**3/19 - 2556288*t**2/19 + 30668544*t/19 - 6455808.
-2*(t - 35492)*(t - 12)**3/19
Factor -3*y**2/4 - 45786*y - 698785932.
-3*(y + 30524)**2/4
Factor -3*z**3/2 + 1431*z**2 - 880875*z/2 + 44142408.
-3*(z - 432)*(z - 261)**2/2
Factor 4*s**2/3 - 232*s - 361600/3.
4*(s - 400)*(s + 226)/3
Factor z**2/4 - 109089*z + 11900409921.
(z - 218178)**2/4
Suppose 2*b**4/7 - 12430*b**3/7 + 3613806*b**2 - 2269192646*b - 283290119588 = 0. What is b?
-106, 2107
Factor 55*c**2 - 915*c + 560.
5*(c - 16)*(11*c - 7)
Solve 5*f**4 + 640*f**3 + 8605*f**2 + 14690*f = 0.
-113, -13, -2, 0
Solve 3*p**4 - 6*p**3 - 57*p**2 + 60*p = 0.
-4, 0, 1, 5
Find s such that -2*s**3/5 + 1924*s**2/5 - 3842*s/5 + 384 = 0.
1, 960
Factor 3*m**4/2 + 528*m**3 + 6120*m**2.
3*m**2*(m + 12)*(m + 340)/2
Factor -2*a**2/17 + 52424*a/17 - 52422/17.
-2*(a - 26211)*(a - 1)/17
What is c in -48*c**4 + 3652*c**3/5 - 288*c**2 - 592*c/5 = 0?
-1/4, 0, 2/3, 74/5
Suppose v**3 - 88*v**2 - 4615*v - 42926 = 0. Calculate v.
-26, -13, 127
Solve 4*j**4 - 940*j**3 - 1976*j**2 + 19056*j - 22752 = 0 for j.
-6, 2, 237
Factor 48*m**4 - 120600*m**3 + 75782019*m**2 - 37868400*m + 4732608.
3*(m - 1256)**2*(4*m - 1)**2
Factor 5*r**3/4 - 1705*r**2/4 + 16470*r + 53280.
5*(r - 296)*(r - 48)*(r + 3)/4
Determine z so that z**4/12 - 33*z**3/4 - 503*z**2/6 + 308*z - 216 = 0.
-12, 1, 2, 108
Factor 3*y**4 + 2001*y**3 + 332646*y**2 - 346692*y - 2008008.
3*(y - 3)*(y + 2)*(y + 334)**2
Factor -4*z**2 + 4264*z + 127020.
-4*(z - 1095)*(z + 29)
Factor 3*v**2 + 53895*v + 53892.
3*(v + 1)*(v + 17964)
Determine g so that -5*g**4 - 35*g**3 + 400*g**2 + 2880*g = 0.
-8, 0, 9
Suppose 3770*d**2 + 599435*d + 795 = 0. What is d?
-159, -1/754
Factor -2*o**3 + 75532*o**2 + 75546*o - 453204.
-2*(o - 37767)*(o - 2)*(o + 3)
Find s such that -3*s**4/4 + 189*s**3 + 7077*s**2/4 - 3915*s/2 = 0.
-10, 0, 1, 261
Suppose -2*b**2 + 15204*b - 1039554 = 0. What is b?
69, 7533
Find i, given that i**4/5 + 6136*i**3/5 + 9381894*i**2/5 - 18855928*i + 47216645 = 0.
-3073, 