04400/7.
2*(p - 232)*(p + 15)**2/7
Determine j, given that -j**4/9 + 2572*j**3/9 + 7723*j**2/9 + 5150*j/9 = 0.
-2, -1, 0, 2575
Let 3*c**2 + 22593*c + 67752 = 0. Calculate c.
-7528, -3
What is i in -2*i**5/7 - 1090*i**4/7 - 2140*i**3/7 + 17380*i**2/7 + 306*i - 16290/7 = 0?
-543, -5, -1, 1, 3
Let 2*m**3/7 - 1270*m**2 + 545414*m/7 - 8424126/7 = 0. What is m?
31, 4383
Factor v**4/6 - 1381*v**3/6 + 237356*v**2/3 + 239432*v.
v*(v - 692)**2*(v + 3)/6
Solve i**2/2 + 1174*i - 14160 = 0 for i.
-2360, 12
Solve 2*h**3/5 - 7848*h**2 - 78504*h/5 + 313952/5 = 0.
-4, 2, 19622
Find t such that -5*t**4/4 + 1260*t**3 - 337040*t**2 + 9838080*t - 76206080 = 0.
16, 488
Determine b, given that 15*b**5/8 + 99*b**4/8 - 159*b**3/8 - 2319*b**2/8 - 675*b - 975/2 = 0.
-5, -13/5, -2, 5
Find m, given that 50*m**3 + 33290*m**2 + 26608*m + 5320 = 0.
-665, -2/5
Factor -o**3 + 254*o**2 - 2924*o + 4840.
-(o - 242)*(o - 10)*(o - 2)
Find c, given that 2*c**4 + 18*c**3 - 1092*c**2 + 4912*c - 3840 = 0.
-30, 1, 4, 16
Find p such that -4*p**5 - 436*p**4 + 24172*p**3 + 49636*p**2 + 25032*p = 0.
-149, -1, 0, 42
Suppose b**2/5 + 6616*b - 33081/5 = 0. Calculate b.
-33081, 1
Factor -x**2/2 - 147831*x - 21854004561/2.
-(x + 147831)**2/2
Factor -4*t**3 + 116*t**2 + 1120*t + 2368.
-4*(t - 37)*(t + 4)**2
Factor -10*i**2 - 260308*i + 312384.
-2*(i + 26032)*(5*i - 6)
Factor -p**4 + 356*p**3 - 33067*p**2 + 244644*p - 211932.
-(p - 174)**2*(p - 7)*(p - 1)
Factor 29160*x**4 + 305505*x**3 - 45740*x**2 + 1700*x.
5*x*(8*x + 85)*(27*x - 2)**2
Solve -y**5 - 25*y**4 + 212*y**3 - 388*y**2 - 112*y + 512 = 0 for y.
-32, -1, 2, 4
Factor z**2 + 17072*z - 34148.
(z - 2)*(z + 17074)
Factor -10*x**2/11 - 461444*x/11 - 184576/11.
-2*(x + 46144)*(5*x + 2)/11
Solve 2*b**5 + 34*b**4 - 726*b**3 - 818*b**2 + 1508*b = 0.
-29, -2, 0, 1, 13
Find s such that -4*s**3 - 9236*s**2 + 102040*s - 92800 = 0.
-2320, 1, 10
Determine g so that 2*g**3/11 + 24668*g**2/11 + 49330*g/11 + 24664/11 = 0.
-12332, -1
Factor 2*r**2 + 876*r + 5184.
2*(r + 6)*(r + 432)
Determine f, given that 3645*f**2/2 - 3723*f/2 + 39 = 0.
26/1215, 1
Factor -2*q**3 - 36*q**2 - 130*q.
-2*q*(q + 5)*(q + 13)
Factor -o**2/5 + 553*o/5 - 9270.
-(o - 450)*(o - 103)/5
Suppose -2*i**4 + 426*i**3 + 7894*i**2 - 17058*i + 8740 = 0. What is i?
-19, 1, 230
Factor -20075*c**3/6 + 20074*c**2/3 + 2*c/3.
-c*(c - 2)*(20075*c + 2)/6
Determine d, given that -3*d**2 + 372*d + 385956 = 0.
-302, 426
Suppose -4*j**3 + 22244*j**2 - 31002428*j + 215928412 = 0. What is j?
7, 2777
Factor 4*t**2 - 6201*t + 7745.
(t - 1549)*(4*t - 5)
Suppose 4*q**3 - 788*q**2 + 3816*q + 4608 = 0. Calculate q.
-1, 6, 192
Solve -4*v**3 + 464*v**2 + 1428*v = 0 for v.
-3, 0, 119
Factor l**4 - 511*l**3 + 8429*l**2 - 15329*l + 7410.
(l - 494)*(l - 15)*(l - 1)**2
Factor z**5 + 8*z**4 - 318*z**3 - 992*z**2 - 1003*z - 336.
(z - 16)*(z + 1)**3*(z + 21)
Suppose -4*i**2 + 82640*i - 165264 = 0. Calculate i.
2, 20658
Determine v, given that -3*v**3 + 110475*v**2 + 3*v - 110475 = 0.
-1, 1, 36825
Factor 4*j**3 + 1480*j**2 + 48548*j - 18459232.
4*(j - 88)*(j + 229)**2
Factor a**2 + 441*a + 48438.
(a + 207)*(a + 234)
Factor -z**2 - 94663*z - 378636.
-(z + 4)*(z + 94659)
Factor 2*v**2/7 + 61140*v/7 + 467262450/7.
2*(v + 15285)**2/7
What is r in -r**4/4 + 12927*r**3/4 + 25859*r**2/4 - 12927*r/4 - 12929/2 = 0?
-2, -1, 1, 12929
Find w such that -29*w**4/4 - 25751*w**3/4 - 1429014*w**2 + 49284*w = 0.
-444, 0, 1/29
Find w such that -96*w**4/5 + 15088*w**3/5 - 1759538*w**2/15 - 297988*w/3 - 62410/3 = 0.
-5/12, 79
Determine j so that 32*j**5 + 2948*j**4 + 76336*j**3 + 389272*j**2 + 579984*j + 66564 = 0.
-43, -3, -1/8
Determine a so that -2*a**5/7 - 32*a**4 - 5884*a**3/7 - 65152*a**2/7 - 47214*a - 90720 = 0.
-80, -9, -7
Let -17*i**5/4 - 349*i**4 - 10403*i**3/4 - 6036*i**2 - 3780*i = 0. Calculate i.
-1260/17, -4, -3, -1, 0
Factor 2*s**3/9 - 88*s**2/9 + 746*s/9 + 620/3.
2*(s - 31)*(s - 15)*(s + 2)/9
Factor -4*a**4 + 31300*a**3 + 187896*a**2 + 375856*a + 250592.
-4*(a - 7831)*(a + 2)**3
Suppose -2*n**2 - 17926*n + 17928 = 0. Calculate n.
-8964, 1
Factor -l**3/5 + 88*l**2/5 - 287*l + 1020.
-(l - 68)*(l - 15)*(l - 5)/5
Factor -80*r**3 - 178520*r**2 + 1162915*r - 1891110.
-5*(r + 2238)*(4*r - 13)**2
Factor 3*m**3 - 13584*m**2 - 163380*m - 272400.
3*(m - 4540)*(m + 2)*(m + 10)
Solve 16*z**5 + 906*z**4 + 12968*z**3 + 22440*z**2 = 0.
-34, -165/8, -2, 0
Suppose -5*l**5 - 6720*l**4 - 2848525*l**3 - 300882250*l**2 + 34046212500*l - 33742475000 = 0. What is l?
-470, 1, 65
Factor -4*j**3 - 432*j**2 - 11364*j - 83512.
-4*(j + 13)*(j + 22)*(j + 73)
Factor -2*m**2/5 + 88*m - 18792/5.
-2*(m - 162)*(m - 58)/5
Factor -b**5 + 54436*b**4 - 163302*b**3 + 163300*b**2 - 54433*b.
-b*(b - 54433)*(b - 1)**3
Find a such that 2*a**2 - 8*a - 330 = 0.
-11, 15
Find n such that 4*n**4 + 27544*n**3 + 82580*n**2 - 110128*n = 0.
-6883, -4, 0, 1
Factor -3*k**2 - 85194*k - 604834803.
-3*(k + 14199)**2
Factor -r**2 - 124730*r - 3889393225.
-(r + 62365)**2
Factor -78*w**2 - 46581*w - 8955.
-3*(w + 597)*(26*w + 5)
Suppose 5*r**5 + 75*r**4 + 285*r**3 + 5*r**2 - 1290*r - 1080 = 0. What is r?
-9, -4, -3, -1, 2
Factor -5*b**4 - 115*b**3 + 670*b**2 - 840*b.
-5*b*(b - 3)*(b - 2)*(b + 28)
Determine n, given that -2*n**5/17 + 16*n**4/17 + 28*n**3 - 3784*n**2/17 - 8922*n/17 - 4680/17 = 0.
-15, -1, 12, 13
Suppose -2*u**4/19 + 351680*u**3/19 - 703352*u**2/19 = 0. What is u?
0, 2, 175838
Determine m, given that -552*m**4 - 8284*m**3 - 60*m**2 = 0.
-15, -1/138, 0
Solve -2*t**3/3 + 46738*t**2/3 = 0.
0, 23369
What is a in 2*a**2/15 - 930*a - 27908/15 = 0?
-2, 6977
Factor 3*q**2 + 2898345*q + 2898342.
3*(q + 1)*(q + 966114)
What is i in 78125*i**2 - 465000*i + 691920 = 0?
372/125
Find r, given that -2*r**2 - 30698*r - 30696 = 0.
-15348, -1
Factor y**3/9 - 128059*y**2/9.
y**2*(y - 128059)/9
Suppose x**4/4 + 51*x**3/2 + 843*x**2/4 + 251*x/2 - 1302 = 0. Calculate x.
-93, -7, -4, 2
Factor 2*o**3 - 20984*o**2 + 55041032*o.
2*o*(o - 5246)**2
Factor -4*w**3/7 + 492*w**2 + 77220*w/7 + 427372/7.
-4*(w - 883)*(w + 11)**2/7
Factor 5*a**4 + 1230*a**3 - 101745*a**2 - 208370*a.
5*a*(a - 67)*(a + 2)*(a + 311)
Factor 2*u**2/7 - 36998*u/7 + 295856/7.
2*(u - 18491)*(u - 8)/7
Find v, given that 2*v**2 - 170*v - 8712 = 0.
-36, 121
Determine c, given that -c**3/6 - 29*c**2/3 + 853*c/6 + 455/3 = 0.
-70, -1, 13
Determine k so that 40*k**4 - 490*k**3 + 665*k**2 + 2560*k - 2100 = 0.
-2, 3/4, 7/2, 10
Find b, given that -b**2 - 707381*b + 707382 = 0.
-707382, 1
Suppose c**3/2 + 6495*c**2/2 - 12996*c + 12998 = 0. Calculate c.
-6499, 2
Factor -m**4 + 5838*m**3 - 8520561*m**2.
-m**2*(m - 2919)**2
Solve o**3/5 - 2029*o**2/5 + 1013824*o/5 + 3133452 = 0.
-15, 1022
Factor -u**3/2 + 323*u**2/2 + 22909*u/2 + 369985/2.
-(u - 385)*(u + 31)**2/2
Factor -2*i**2/3 - 127996*i/3 - 2047872002/3.
-2*(i + 31999)**2/3
Factor -2*h**2/3 - 345068*h/3 + 345074.
-2*(h - 3)*(h + 172537)/3
Find g, given that 9*g**3/4 - 5621*g**2/2 + 14306*g = 0.
0, 46/9, 1244
Determine r so that 3*r**3/5 - 126*r**2/5 + 1032*r/5 + 6336/5 = 0.
-4, 22, 24
Let h**3/5 - 7*h**2/5 - 925*h - 110889/5 = 0. What is h?
-37, 81
What is c in 3*c**2 - 2271105*c + 2271102 = 0?
1, 757034
Solve -13*m**4/2 + 5277*m**3 - 20222*m**2 + 17772*m + 3232 = 0 for m.
-2/13, 2, 808
Factor -2*r**2/5 + 734*r - 171552/5.
-2*(r - 1787)*(r - 48)/5
Solve 3*z**5/2 + 6*z**4 - 303*z**3/2 - 606*z**2 + 150*z + 600 = 0.
-10, -4, -1, 1, 10
Factor 4*s**2/9 + 2036*s/9 + 3080.
4*(s + 14)*(s + 495)/9
Let -2*s**3/3 + 5442*s**2 + 2*s/3 - 5442 = 0. What is s?
-1, 1, 8163
Solve 1095*c**5/4 - 145637*c**4/4 + 143711*c**3/4 + 145373*c**2/4 - 72403*c/2 + 66 = 0 for c.
-1, 2/1095, 1, 132
Solve 4*n**3 + 7848*n**2 + 3841584*n - 7714592 = 0 for n.
-982, 2
Factor q**3/4 - 25*q**2/4 + 119*q/4 - 95/4.
(q - 19)*(q - 5)*(q - 1)/4
Determine m, given that 4*m**2 + 255528*m + 4080909924 = 0.
-31941
Let 8*a**5 + 27840*a**4 + 23334194*a**3 - 1557452946*a**2 - 1574939674*a - 395191566 = 0. What is a?
-1771, -1/2, 63
Determine b so that -5*b**4 + 160*b**3 - 435*b**2 - 10300*b - 17500 = 0.
-5, -2, 14, 25
Solve -35*s**4 - 51125*s**3 + 14645*s**2 + 51125*s - 14610 = 0 for s.
-1461, -1, 2/7, 1
Factor -r**3/3 - 62498*r**2/3 - 325395812*r + 3256041720.
-(r - 10)*(r + 31254)**2/3
What is s in 3249*s**5 + 61503*s**4 + 200359*s**