4269*a/2 - 34983/2.
3*(a - 1)*(a + 69)*(a + 169)/2
Suppose -f**3/4 - 1159*f**2/4 + 11665*f/4 - 29225/4 = 0. Calculate f.
-1169, 5
Solve -j**4/3 - 502*j**3/3 - 26760*j**2 - 3994634*j/3 - 3914855/3 = 0.
-203, -95, -1
Factor 21*w**3/5 - 92958*w**2/5 + 185853*w/5 - 92916/5.
3*(w - 1)**2*(7*w - 30972)/5
Factor 2*f**3 - 1356*f**2 + 8064*f.
2*f*(f - 672)*(f - 6)
Solve -v**5 - 33*v**4/2 - 63*v**3/2 + 107*v**2/2 + 117*v/2 - 63 = 0.
-14, -3, -3/2, 1
Factor 3*r**4/4 - 15243*r**3/2 + 19339536*r**2 + 116311752*r.
3*r*(r - 5084)**2*(r + 6)/4
Let 2*v**2/17 + 1820*v/17 - 3648/17 = 0. What is v?
-912, 2
Solve -l**3/2 - 1486*l**2 - 29645*l/2 - 37025 = 0 for l.
-2962, -5
Factor u**3 + 162*u**2 - 4609*u + 12342.
(u - 22)*(u - 3)*(u + 187)
Solve 6*x**5/5 + 86*x**4/5 + 176*x**3/5 - 288*x**2 - 3584*x/5 - 2048/5 = 0 for x.
-8, -4/3, -1, 4
Solve -h**5/4 - 39*h**4/4 - 167*h**3/4 + 115*h**2/4 + 108*h - 85 = 0.
-34, -5, -2, 1
Find r, given that -2*r**4 + 196*r**3 - 3936*r**2 + 20540*r + 24674 = 0.
-1, 13, 73
Determine f so that 2*f**4 + 1054*f**3 - 8552*f**2 + 4376*f + 51360 = 0.
-535, -2, 4, 6
Find z such that 2*z**5 + 140*z**4 - 1462*z**3 - 180336*z**2 - 353736*z = 0.
-51, -2, 0, 34
Factor -2*h**2/5 + 405256*h/5 - 20529053192/5.
-2*(h - 101314)**2/5
Solve 2*t**3 - 8465*t**2/2 + 17954*t - 4224 = 0 for t.
1/4, 4, 2112
Find l such that -l**2/12 - 107*l/12 - 418/3 = 0.
-88, -19
Factor -2*z**3 + 542*z**2 - 540*z.
-2*z*(z - 270)*(z - 1)
Determine l, given that 230*l**2 - 6*l = 0.
0, 3/115
Determine z so that -23409*z**3/11 + 353583*z**2/11 - 3344*z + 960/11 = 0.
8/153, 15
Find a such that -2*a**3 + 34240*a**2 - 146547200*a = 0.
0, 8560
Factor -3*z**2 - 19521*z + 39054.
-3*(z - 2)*(z + 6509)
Suppose 1682*v**5/7 - 33930*v**4/7 + 1332*v**3/7 + 86288*v**2/7 + 60864*v/7 + 11520/7 = 0. Calculate v.
-1, -12/29, 2, 20
Find f, given that 2*f**2/3 + 115512*f + 5003633304 = 0.
-86634
Determine b, given that -2*b**4 + 6962*b**3 + 27870*b**2 + 34846*b + 13940 = 0.
-2, -1, 3485
Factor 3*n**2/2 + 801*n/2 + 5313.
3*(n + 14)*(n + 253)/2
Suppose -2*a**3/7 + 2922*a**2/7 - 1269414*a/7 + 139815406/7 = 0. What is a?
167, 647
Determine j, given that 4*j**2 - 43*j/2 + 15/2 = 0.
3/8, 5
Factor -v**2/3 - 5471*v/3.
-v*(v + 5471)/3
Suppose 2*l**3/21 - 80*l**2/21 - 2062*l/21 - 3540/7 = 0. Calculate l.
-10, -9, 59
Determine m, given that -8*m**4 - 3854*m**3/3 + 3146*m**2 - 872*m - 1304/3 = 0.
-163, -1/4, 2/3, 2
Find y, given that 5*y**5 + 220*y**4 + 2515*y**3 + 10160*y**2 + 7980*y - 20880 = 0.
-29, -6, -4, 1
Find a, given that a**2 - 460*a + 4500 = 0.
10, 450
Let -105*r**5/2 - 421*r**4 - 638*r**3 - 12*r**2 = 0. What is r?
-6, -2, -2/105, 0
Solve 4*s**5 + 2288*s**4 - 37272*s**3 + 210880*s**2 - 469900*s + 294000 = 0 for s.
-588, 1, 5
Let -10*m**2/7 - 49228*m/7 + 9846/7 = 0. What is m?
-4923, 1/5
Determine c, given that 2*c**4/11 - 118*c**3/11 + 1908*c**2/11 - 448*c + 3136/11 = 0.
1, 2, 28
Factor -f**2/3 - 6902*f/3 + 2301.
-(f - 1)*(f + 6903)/3
Solve 75*g**3/4 + 595*g**2/2 - 22435*g/4 + 1485/2 = 0 for g.
-27, 2/15, 11
Determine c so that 4*c**5 + 16*c**4 - 372*c**3 + 1184*c**2 - 832*c = 0.
-13, 0, 1, 4
Factor -4*p**2/5 - 4634008*p/5 - 1342126884004/5.
-4*(p + 579251)**2/5
Solve 66*m**2/7 + 948817*m/7 + 14376/7 = 0 for m.
-14376, -1/66
Solve -2*j**4/5 - 202*j**3/15 - 746*j**2/5 - 2834*j/5 - 4732/15 = 0.
-13, -7, -2/3
Factor -3*z**4/2 - 255*z**3 - 14850*z**2 - 364500*z - 3240000.
-3*(z + 30)**3*(z + 80)/2
Let -3*x**4 + 324*x**3 - 4023*x**2 + 7086*x - 3384 = 0. What is x?
1, 12, 94
Factor -h**2 + 59646*h - 59645.
-(h - 59645)*(h - 1)
Determine k so that -30*k**4/7 - 348*k**3/7 - 162*k**2/7 + 4428*k/7 - 3888/7 = 0.
-9, -6, 1, 12/5
Factor 4*n**2 - 126184*n + 995150116.
4*(n - 15773)**2
Factor s**3/5 + 1568*s**2/5 + 12492*s/5 + 3744.
(s + 2)*(s + 6)*(s + 1560)/5
Suppose 417*j**3/4 - 22341*j**2/4 + 294435*j/4 + 129033/4 = 0. What is j?
-59/139, 27
Find p such that p**4 + 404*p**3 + 43827*p**2 + 595580*p - 639812 = 0.
-194, -17, 1
Solve -4*o**2/9 - 3064*o/3 = 0 for o.
-2298, 0
Suppose -4*q**4/7 + 74568*q**3/7 - 347524160*q**2/7 - 74568*q/7 + 347524164/7 = 0. Calculate q.
-1, 1, 9321
Determine u, given that u**3/2 + 5115*u**2 - 10237*u/2 - 30693 = 0.
-10231, -2, 3
Suppose 2*o**2 - 52890*o - 52892 = 0. Calculate o.
-1, 26446
Factor 3*r**3/2 - 10605*r**2 + 18754938*r - 37467468.
3*(r - 3534)**2*(r - 2)/2
Factor -15*m**3 - 395*m**2 - 465*m + 875.
-5*(m - 1)*(m + 25)*(3*m + 7)
Find n such that 5*n**4 + 20298*n**3 - 272805*n**2 + 350254*n - 97752 = 0.
-4073, 2/5, 1, 12
Solve -t**3/7 + 43*t**2 - 30115*t/7 + 1001775/7 = 0 for t.
95, 111
Factor 4*v**2 - 63680*v + 253446400.
4*(v - 7960)**2
Factor -a**2/2 + 885991*a - 784980052081/2.
-(a - 885991)**2/2
Factor d**4 - 80*d**3 + 1217*d**2 + 1298*d.
d*(d - 59)*(d - 22)*(d + 1)
Solve z**3/2 + 1227*z**2 - 64411*z/2 + 85560 = 0.
-2480, 3, 23
Factor -5*y**2/3 + 8335*y/2 + 12505/6.
-5*(y - 2501)*(2*y + 1)/6
Let 3*i**4 + 105*i**3 + 1152*i**2 + 3444*i - 4704 = 0. Calculate i.
-14, -8, 1
Factor p**3/2 - 359*p**2/2 - 44460*p - 2182950.
(p - 539)*(p + 90)**2/2
Let 3*w**5 - 1563*w**4 + 205878*w**3 - 589758*w**2 - 1803417*w - 1006215 = 0. What is w?
-1, 5, 259
Factor m**3 + 239*m**2 - 246*m - 1440.
(m - 3)*(m + 2)*(m + 240)
Let w**3/5 + 109*w**2/5 - 682*w/5 + 184 = 0. What is w?
-115, 2, 4
Solve 2*g**2/3 + 31180*g/3 + 20784 = 0 for g.
-15588, -2
Factor -2*f**2 + 44182*f + 44184.
-2*(f - 22092)*(f + 1)
Factor -q**4 - 4491*q**3 + 26974*q**2 - 35976*q.
-q*(q - 4)*(q - 2)*(q + 4497)
Factor -4*k**2 + 113648*k - 807241744.
-4*(k - 14206)**2
Factor -l**4/6 - 25*l**3/2 - 541*l**2/6 - 95*l/2 + 1675/3.
-(l - 2)*(l + 5)**2*(l + 67)/6
Solve u**2/5 - 640*u - 25664/5 = 0 for u.
-8, 3208
Let -5*x**3/3 - 15365*x**2 - 34970520*x + 2043549180 = 0. What is x?
-4638, 57
Determine m, given that -5*m**4 - 80*m**3 + 1755*m**2 + 350*m - 49000 = 0.
-28, -5, 7, 10
Factor 2*t**3/9 + 13234*t**2/9 + 39688*t/9 + 26456/9.
2*(t + 1)*(t + 2)*(t + 6614)/9
Find s such that -3*s**2 - 1014*s + 22617 = 0.
-359, 21
Factor 3*m**3/2 + 849*m**2/2 - 7011*m/2 - 7857/2.
3*(m - 9)*(m + 1)*(m + 291)/2
Factor -2*g**2/7 + 5171248*g/7 - 3342725734688/7.
-2*(g - 1292812)**2/7
Let -2*c**3/3 - 26018*c**2/3 - 84499838*c/3 + 254202486 = 0. What is c?
-6509, 9
Suppose -a**4/3 + 54*a**3 - 4352*a**2/3 = 0. What is a?
0, 34, 128
Solve -4*l**2 + 3392*l - 3388 = 0.
1, 847
Let -21*m**2/5 + 136842*m/5 - 39096/5 = 0. What is m?
2/7, 6516
What is d in 4*d**4/5 - 1622*d**3/5 + 45176*d**2/5 - 43558*d/5 = 0?
0, 1, 29, 751/2
Factor -1397124*z**3 - 27881016*z**2 + 1228604*z - 13520.
-4*(z + 20)*(591*z - 13)**2
Suppose -4*l**3 + 14320*l**2 - 12816400*l = 0. Calculate l.
0, 1790
Determine y, given that 4*y**3/7 - 2208*y**2/7 - 33820*y/7 - 16200 = 0.
-10, -5, 567
Find h, given that 3*h**5/4 + 22463*h**4/4 + 59865*h**3/4 - 112271*h**2/4 + 7485*h = 0.
-7485, -4, 0, 1/3, 1
Find x such that -5*x**5 + 1675*x**4 - 11390*x**3 - 29520*x**2 = 0.
-2, 0, 9, 328
Factor -2*n**2 - 3802*n - 11388.
-2*(n + 3)*(n + 1898)
Factor 11*p**3/8 - 2665*p**2/4 + 8217*p/8 - 1449/4.
(p - 483)*(p - 1)*(11*p - 6)/8
Factor -k**3 + 73*k**2 + 308*k.
-k*(k - 77)*(k + 4)
Suppose 2*x**2/5 + 1094*x + 21848/5 = 0. Calculate x.
-2731, -4
Find k such that k**3/5 - 819*k**2/5 - 66976*k/5 - 66156/5 = 0.
-74, -1, 894
Suppose -g**5/2 + 455*g**4/2 - 25529*g**3 - 80725*g**2 + 474259*g/2 - 262205/2 = 0. What is g?
-5, 1, 229
Suppose -a**4/4 + 233*a**3/4 - 7641*a**2/4 + 14587*a/4 - 3589/2 = 0. What is a?
1, 37, 194
Determine m, given that -69938*m**4/7 + 558008*m**3/7 - 827296*m**2/7 - 17888*m/7 - 96/7 = 0.
-2/187, 2, 6
Suppose c**3/3 - 754*c**2/3 - 2797*c - 6120 = 0. What is c?
-8, -3, 765
Factor -5*m**2 + 56310*m - 158540805.
-5*(m - 5631)**2
What is i in i**5 - 103*i**4 + 1127*i**3 - 3173*i**2 - 1128*i + 3276 = 0?
-1, 1, 6, 91
Factor -3*l**3 + 4683*l**2 - 1470432*l - 291237120.
-3*(l - 848)**2*(l + 135)
Find t such that -3*t**3 + 2103*t**2 + 19128*t + 29820 = 0.
-7, -2, 710
What is q in -3*q**4/4 + 51*q**3/2 + 3465*q**2/4 = 0?
-21, 0, 55
Factor 3*f**4 - 26938*f**3 - 233672*f**2 - 143808*f.
f*(f - 8988)*(f + 8)*(3*f + 2)
Let -2*h**4/5 + 2971436*h**3/5 - 1103681959194*h**2/5 + 2207355004088*h/5 - 1103676016328/5 = 0. Calculate h.
1, 742858
Determine y, given that y**2/4 + 273*y/4 + 4163 = 0.
-181, -92
Fa