-4*w**2 - 19756*w + 158304 = 0 for w.
-4947, 8
Let 5*r**2 + 67975*r + 1018500 = 0. Calculate r.
-13580, -15
Factor v**3/4 - 39*v/4 + 35/2.
(v - 5)*(v - 2)*(v + 7)/4
Factor -3*d**3 + 1665*d**2 - 235125*d + 1134375.
-3*(d - 275)**2*(d - 5)
Factor -w**2/7 + 91310*w - 14590653175.
-(w - 319585)**2/7
Find g such that -3*g**2 - 388464*g - 12575356608 = 0.
-64744
Factor -100*u**3 + 855380*u**2 - 684256*u + 136848.
-4*(u - 8553)*(5*u - 2)**2
Solve 75*j**5 + 7005*j**4 - 4302*j**3 - 6720*j**2 + 4512*j = 0.
-94, -1, 0, 4/5
Suppose d**5/3 + 332*d**4/3 + 2591*d**3/3 - 332*d**2/3 - 864*d = 0. What is d?
-324, -8, -1, 0, 1
Solve -2*x**2 - 248*x/9 + 56/9 = 0.
-14, 2/9
Suppose 2*o**5/7 + 48*o**4/7 + 254*o**3/7 - 768*o**2/7 - 4576*o/7 = 0. Calculate o.
-13, -11, -4, 0, 4
Let -4*q**4 - 11388*q**3 + 183236*q**2 + 11388*q - 183232 = 0. Calculate q.
-2863, -1, 1, 16
Find g such that -4*g**5 - 11156*g**4 - 7728076*g**3 + 70459236*g**2 = 0.
-1399, 0, 9
Solve -2*k**5/7 + 820*k**4/7 - 50912*k**3/7 + 1153588*k**2/7 - 9377054*k/7 + 8273560/7 = 0 for k.
1, 23, 340
Find p, given that -4*p**2 - 7012*p + 345792 = 0.
-1801, 48
Factor y**3/5 + 6593*y**2 + 65927*y/5 + 32963/5.
(y + 1)**2*(y + 32963)/5
Determine d, given that -3*d**2 - 601236*d - 30123727308 = 0.
-100206
Factor 192*r**3 + 525072*r**2 + 393723*r + 73818.
3*(r + 2734)*(8*r + 3)**2
What is t in -t**4/9 - 29*t**3/3 + 555*t**2 + 10247*t/9 + 574 = 0?
-126, -1, 41
Find h, given that 2*h**4/11 + 4*h**3 - 938*h**2/11 - 980*h/11 = 0.
-35, -1, 0, 14
Solve 2*y**2/9 + 38980*y/9 + 189930050/9 = 0.
-9745
Factor 3*d**4 + 6846*d**3 + 4006983*d**2 + 115628940*d + 855816300.
3*(d + 15)**2*(d + 1126)**2
Suppose -h**3/6 + 4229*h**2/3 + 16919*h/6 + 1410 = 0. What is h?
-1, 8460
Solve -8*v**3/9 - 12098*v**2/9 - 51242*v/9 + 15080/3 = 0.
-1508, -5, 3/4
Factor 3*h**3/7 - 151428*h**2/7 + 1911172752*h/7 - 7642268352/7.
3*(h - 25236)**2*(h - 4)/7
Solve -2*x**3 - 372*x**2 + 5094*x - 15920 = 0 for x.
-199, 5, 8
Let -z**2/4 - 23*z - 333 = 0. Calculate z.
-74, -18
Factor 2*r**2 - 4342*r + 212100.
2*(r - 2121)*(r - 50)
Solve 2*x**4 - 2*x**3 - 354*x**2 - 1854*x - 2592 = 0.
-9, -3, 16
Suppose 3*d**2/5 - 123*d/5 + 342/5 = 0. Calculate d.
3, 38
Determine w, given that w**5 + 129*w**4 - 265*w**3 - 393*w**2 = 0.
-131, -1, 0, 3
Factor 2*q**3 - 196*q**2 - 2576*q - 7040.
2*(q - 110)*(q + 4)*(q + 8)
Let -135*a**4 + 52920*a**3 - 210240*a**2 + 279680*a - 124160 = 0. What is a?
4/3, 388
Factor d**2 - 733*d + 125010.
(d - 463)*(d - 270)
Suppose 2*j**4/7 - 2574*j**3/7 + 2556*j**2/7 + 20600*j/7 - 30864/7 = 0. What is j?
-3, 2, 1286
Factor -b**3/4 + 60*b**2 - 10857*b/4 - 5549/2.
-(b - 179)*(b - 62)*(b + 1)/4
Determine h so that 2*h**3/5 - 342*h**2/5 + 15744*h/5 - 94136/5 = 0.
7, 82
Factor 3*v**3/5 + 4026*v**2/5 + 1378464*v/5 + 18517632/5.
3*(v + 14)*(v + 664)**2/5
Solve 2*a**3 + 2436*a**2 + 33810*a + 117992 = 0.
-1204, -7
Determine c so that -2*c**5/5 + 338*c**4/5 + 10644*c**3/5 - 11648*c**2/5 - 21952*c/5 = 0.
-28, -1, 0, 2, 196
Find j, given that -2*j**2/5 - 5976*j/5 = 0.
-2988, 0
Factor -50*l**2/19 - 219040*l/19 - 239892608/19.
-2*(5*l + 10952)**2/19
Let 4*v**3 + 6296*v**2 + 12564*v - 18864 = 0. Calculate v.
-1572, -3, 1
Determine s so that -2*s**3/7 + 7248*s**2/7 = 0.
0, 3624
Solve 5*x**4 + 3745*x**3 + 22335*x**2 + 33455*x + 14860 = 0 for x.
-743, -4, -1
Factor -4*o**3 - 64272*o**2.
-4*o**2*(o + 16068)
What is i in -9216*i**5 - 73344*i**4 - 61444*i**3 + 2656*i**2 - 28*i = 0?
-7, -1, 0, 1/48
Factor 2*v**2/13 - 46056*v/13 - 46058/13.
2*(v - 23029)*(v + 1)/13
Find h such that -2*h**2/21 + 142*h/21 - 48 = 0.
8, 63
Factor r**4/7 + 36*r**3/7 + 46*r**2 + 540*r/7 + 253/7.
(r + 1)**2*(r + 11)*(r + 23)/7
Factor 14*q**3 + 3966*q**2 - 19028*q - 5760.
2*(q - 5)*(q + 288)*(7*q + 2)
Factor 4*v**3/7 - 480*v**2/7 + 5072*v/7 + 1728.
4*(v - 108)*(v - 14)*(v + 2)/7
Factor -5*r**3 + 155*r**2 + 6350*r - 27560.
-5*(r - 53)*(r - 4)*(r + 26)
Let 20*m**5 + 12*m**4 - 68*m**3 + 4*m**2 + 48*m - 16 = 0. What is m?
-2, -1, 2/5, 1
Factor q**2/6 - 38641*q - 231847/6.
(q - 231847)*(q + 1)/6
Factor -2*h**3/3 + 1630*h**2/3 - 103424*h.
-2*h*(h - 512)*(h - 303)/3
Factor -2*i**3/15 + 7436*i**2/3 - 57610408*i/5 + 115171248/5.
-2*(i - 9294)**2*(i - 2)/15
Factor m**4/5 + 2149*m**3/5 + 859*m**2 + 2147*m/5.
m*(m + 1)**2*(m + 2147)/5
Suppose -i**2/3 + 278*i - 14763 = 0. What is i?
57, 777
Factor 5*c**3 - 265*c**2 - 1430*c - 1160.
5*(c - 58)*(c + 1)*(c + 4)
Factor c**2/5 - 18667*c/5 - 18668/5.
(c - 18668)*(c + 1)/5
What is d in d**5/5 + 2*d**4/5 - 4803*d**3/5 - 18532*d**2 - 90860*d = 0?
-59, -10, 0, 77
Find z, given that -z**2 - 118*z - 3337 = 0.
-71, -47
Suppose -28*l**5 - 52508*l**4 + 90196*l**3 + 187724*l**2 + 45048*l = 0. Calculate l.
-1877, -1, -2/7, 0, 3
Factor 2*a**4 + 298*a**3 - 302*a**2 - 298*a + 300.
2*(a - 1)**2*(a + 1)*(a + 150)
Solve 3*j**2 + 345684*j + 9958118988 = 0.
-57614
Let 1055*d**3 - 318670*d**2 + 24073175*d - 1368060 = 0. Calculate d.
12/211, 151
Determine g so that -g**5/7 + 199*g**4/7 - 1371*g**3 - 30199*g**2/7 - 20402*g/7 = 0.
-2, -1, 0, 101
Factor 4*n**3/5 + 244*n**2/5 - 7728*n/5.
4*n*(n - 23)*(n + 84)/5
Solve -3*r**3/2 - 648195*r**2/4 + 324099*r/4 = 0 for r.
-108033, 0, 1/2
Factor -4*d**2/3 - 4828*d/3 - 28536.
-4*(d + 18)*(d + 1189)/3
Solve w**4/2 + 40903*w**3/4 + 184035*w**2/4 + 61342*w + 20447 = 0.
-20447, -2, -1/2
Let -5*l**3 - 88120*l**2 - 388080420*l + 1553731920 = 0. Calculate l.
-8814, 4
Let 4*v**5 - 320*v**4 - 652*v**3 - 328*v**2 = 0. What is v?
-1, 0, 82
Factor -22*b**2/3 - 5254*b/3 + 5276/3.
-2*(b - 1)*(11*b + 2638)/3
Factor 4*s**2 - 10388*s + 154920.
4*(s - 2582)*(s - 15)
Factor -4*z**4 + 76984*z**3 - 493903680*z**2 + 1056459920200*z - 1055966093500.
-4*(z - 6415)**3*(z - 1)
Factor 3*z**3 + 3580*z**2 - 42213*z - 45790.
(z + 1)*(z + 1205)*(3*z - 38)
Let -19*n**2/2 + 884*n + 1806 = 0. Calculate n.
-2, 1806/19
Suppose 5*k**2 - 32320*k - 1104660 = 0. What is k?
-34, 6498
Determine w so that -5*w**5/8 - 733*w**4/4 - 113843*w**3/8 - 457945*w**2/4 + 207391*w/2 + 25205 = 0.
-142, -10, -1/5, 1
Factor 11*q**2 - 593327*q - 107878.
(q - 53939)*(11*q + 2)
Determine m, given that 2*m**2 - 39002*m - 117024 = 0.
-3, 19504
Factor 5*u**3 + 128335*u**2 + 823557775*u + 823429445.
5*(u + 1)*(u + 12833)**2
What is p in 4*p**4 + 25108*p**3 - 175972*p**2 - 125380*p + 1885200 = 0?
-6284, -3, 5
Find g, given that -2*g**4/19 + 12168*g**3/19 + 1031520*g**2/19 + 28970368*g/19 + 270799872/19 = 0.
-28, 6168
Factor 4*a**2/7 + 5260*a/7 + 98496/7.
4*(a + 19)*(a + 1296)/7
Determine m so that -15*m**5/4 + 1195*m**4/4 - 470*m**3 - 1390*m**2 + 1940*m + 780 = 0.
-2, -1/3, 2, 78
Let -p**5/4 + 81*p**4/4 - 523*p**3/4 + 363*p**2/4 + 131*p - 111 = 0. What is p?
-1, 1, 6, 74
Suppose 2*i**5/19 + 42*i**4 - 23630*i**3/19 + 120018*i**2/19 - 169092*i/19 = 0. What is i?
-427, 0, 3, 22
Factor -26635921*m**3/6 + 51610*m**2/3 - 50*m/3.
-m*(5161*m - 10)**2/6
Determine o, given that 3*o**2 - 5085*o - 15282 = 0.
-3, 1698
Factor k**4/11 - 112*k**3/11 - 780*k**2/11 + 24336*k.
k*(k - 78)**2*(k + 44)/11
Suppose -2*i**5 + 216*i**4 + 3842*i**3 + 15656*i**2 - 3840*i - 15872 = 0. Calculate i.
-8, -1, 1, 124
Determine n so that 6*n**4 + 1308*n**3/5 + 11832*n**2/5 - 35184*n/5 + 12096/5 = 0.
-28, -18, 2/5, 2
Suppose 3*s**4/2 - 36805*s**3/2 + 56445067*s**2 - 18800710*s - 37625956 = 0. What is s?
-2/3, 1, 6134
Determine q so that 3*q**4/5 + 221*q**3 + 10998*q**2/5 - 35748*q/5 + 18616/5 = 0.
-358, -13, 2/3, 2
Factor u**3/7 + 1376*u**2/7 - 2755*u/7 + 1378/7.
(u - 1)**2*(u + 1378)/7
Suppose -3*i**2 + 668952*i - 37291398192 = 0. Calculate i.
111492
Solve -f**4/5 + 616*f**3/5 - 3042*f**2/5 - 7936*f/5 - 4277/5 = 0 for f.
-1, 7, 611
What is f in 2*f**5/21 + 7138*f**4/21 + 14260*f**3/7 + 85532*f**2/21 + 71266*f/21 + 1018 = 0?
-3563, -3, -1
Let 4*q**3 - 348*q**2 - 55584*q - 320112 = 0. What is q?
-78, -6, 171
Let 2*z**4/5 - 59248*z**3 - 1481234*z**2/5 - 2369992*z/5 - 237000 = 0. What is z?
-2, -1, 148125
Factor -o**3/4 - 5*o**2 + 5023*o/4 - 2501/2.
-(o - 61)*(o - 1)*(o + 82)/4
Find f such that -2*f**4 + 5483*f**3/3 + 11906*f**2/3 + 1832*f/3 = 0.
-2, -1/6, 0, 916
Solve -b**3/2 - 130*b**2 + 16173*b/2 - 7956 = 0.
-312, 1, 51
Find o such that -2*o**3 + 21438*o**2/7 + 58304*o/7 - 18408/7 = 0.
-3, 2/7, 1534
Factor 2*l**2/11 - 2340*l/11 - 23600/1