3, 2, 9
Solve -5*y**5/6 + 222155*y**4 - 88836452165*y**3/6 + 29611484260*y**2 - 44416893160*y/3 = 0.
0, 1, 133292
Factor -2*q**2/9 + 24562*q/3 + 73688/9.
-2*(q - 36844)*(q + 1)/9
Factor -3*c**2 + 30879*c + 30882.
-3*(c - 10294)*(c + 1)
Factor -b**2 + 2544*b.
-b*(b - 2544)
Factor 27*m**3 - 1935*m**2 + 35616*m - 33708.
3*(m - 1)*(3*m - 106)**2
Suppose 4*c**3/9 + 784*c**2 - 16*c/9 - 3136 = 0. Calculate c.
-1764, -2, 2
Let 125*m**4 - 3900*m**3 + 28695*m**2 + 24860*m + 5100 = 0. What is m?
-2/5, 15, 17
Let -g**4/5 - 6*g**3 - 156*g**2/5 + 38*g + 345 = 0. What is g?
-23, -5, 3
What is p in -p**3/3 + 4571*p**2/3 - 100199*p/3 + 550429/3 = 0?
11, 4549
Suppose -3*p**3 - 117*p**2 - 1122*p - 1008 = 0. Calculate p.
-24, -14, -1
Find b, given that b**4/4 - 2877*b**3/2 + 8271369*b**2/4 + 4145759*b - 6212163 = 0.
-3, 1, 2878
Solve b**2/4 + 1230801*b/2 + 1514871101601/4 = 0.
-1230801
Solve -3*v**3 + 636*v**2 - 12903*v + 68970 = 0.
11, 190
Let 3*b**4/2 - 1545*b**3/2 + 102117*b**2 - 681990*b + 580644 = 0. What is b?
1, 6, 254
Find s such that 64*s**3 - 2032*s**2 + 5225*s - 3509 = 0.
11/8, 29
Suppose -2*v**4/9 + 838*v**3/9 - 9324*v**2 - 812344*v/9 - 1282288/9 = 0. What is v?
-7, -2, 214
Factor -3*z**2/2 - 438*z - 6624.
-3*(z + 16)*(z + 276)/2
Determine b, given that 4*b**2 + 279132*b + 837360 = 0.
-69780, -3
Suppose 2*s**3/21 + 23182*s**2/21 = 0. Calculate s.
-11591, 0
Determine a so that 98*a**5/13 + 129318*a**4/13 + 42503462*a**3/13 - 104198742*a**2/13 - 69939088*a/13 - 10486104/13 = 0.
-661, -2/7, 3
Suppose 2*c**3/9 - 344*c**2 + 1030*c = 0. What is c?
0, 3, 1545
Factor 2*f**3 + 16154*f**2 + 32659312*f + 162892960.
2*(f + 5)*(f + 4036)**2
Suppose -26*v**2/17 + 16604*v/17 + 6390/17 = 0. Calculate v.
-5/13, 639
Suppose 20164*d**2 + 45724*d + 25921 = 0. What is d?
-161/142
Let -4*l**2 - 52776*l + 52780 = 0. What is l?
-13195, 1
Find t, given that 3*t**5/8 - 129*t**4 + 82179*t**3/8 + 580341*t**2/4 - 430671*t/2 - 926757 = 0.
-13, -2, 3, 178
Let j**2/2 + 19175*j/2 + 124553 = 0. Calculate j.
-19162, -13
Suppose 4*d**2 - 228540*d = 0. Calculate d.
0, 57135
Determine g, given that 2*g**4/9 + 74*g**3/9 + 208*g**2/3 + 1384*g/9 + 832/9 = 0.
-26, -8, -2, -1
Factor -4*i**2 - 292424*i - 292420.
-4*(i + 1)*(i + 73105)
Solve -230*o**4 - 1152*o**3 - 1854*o**2 - 1172*o - 240 = 0 for o.
-60/23, -1, -2/5
Suppose -13*a**5 - 709*a**4 + 1851*a**3 + 1521*a**2 - 1026*a = 0. What is a?
-57, -1, 0, 6/13, 3
Determine d so that -2*d**3 + 84682*d**2 + 84684*d = 0.
-1, 0, 42342
Factor -b**2/2 + 423*b - 77452.
-(b - 578)*(b - 268)/2
Factor 5130*q**3 - 65*q**2.
5*q**2*(1026*q - 13)
Factor -3*s**2 + 732*s + 3735.
-3*(s - 249)*(s + 5)
Factor -10606*l**2/7 + 10588*l/7 + 18/7.
-2*(l - 1)*(5303*l + 9)/7
Solve -6*z**2 + 545495*z + 90916 = 0.
-1/6, 90916
Determine b so that 5*b**5 + 185*b**4 - 2285*b**3 + 3355*b**2 + 14280*b + 8460 = 0.
-47, -1, 6
Suppose k**3/8 + 221*k**2/4 - 6399*k/8 - 855 = 0. Calculate k.
-456, -1, 15
Let 9*z**5 + 66*z**4 + 13*z**3 - 600*z**2 - 748*z - 240 = 0. Calculate z.
-5, -4, -2/3, 3
Let 2*r**5/5 + 2968*r**4/5 - 8916*r**3/5 + 1784*r**2 - 2974*r/5 = 0. Calculate r.
-1487, 0, 1
Factor -4*c**2/7 + 352*c/7 + 16592/7.
-4*(c - 122)*(c + 34)/7
Factor 21*s**2/2 + 71213*s/2 + 3391.
(s + 3391)*(21*s + 2)/2
Suppose -5*m**2 + 1310*m - 76985 = 0. What is m?
89, 173
Find g such that -3*g**5/7 + 293*g**4 + 8993*g**3/7 - 33759*g**2/7 + 32350*g/7 - 1376 = 0.
-7, 2/3, 1, 688
Factor -3*d**2 - 2381*d - 3960.
-(d + 792)*(3*d + 5)
Let -4*a**4 + 104*a**3 - 596*a**2 - 704*a = 0. What is a?
-1, 0, 11, 16
Solve -5*b**2 + 5870*b + 274275 = 0.
-45, 1219
Factor -3*t**2/7 + 1566*t/7 - 13851/7.
-3*(t - 513)*(t - 9)/7
Let 20*b**5 - 1755*b**4 - 30380*b**3 - 107645*b**2 + 106800*b + 32960 = 0. Calculate b.
-8, -1/4, 1, 103
What is p in 226*p**5/3 - 830*p**4 + 1852*p**3/3 + 8728*p**2 + 21232*p/3 - 128 = 0?
-2, -1, 2/113, 6, 8
Find z, given that -6*z**3/7 + 522*z**2/7 - 480*z = 0.
0, 7, 80
Let -d**3 - 787*d**2 + 9601*d + 10387 = 0. What is d?
-799, -1, 13
Factor 2*u**2 + 2090*u - 21100.
2*(u - 10)*(u + 1055)
Determine m so that 4*m**2/9 + 39124*m/9 = 0.
-9781, 0
Determine c so that 3*c**3/8 + 10029*c**2/8 + 8366673*c/8 - 25190361/8 = 0.
-1673, 3
Factor 9*m**2/4 - 62357*m/4 - 6929.
(m - 6929)*(9*m + 4)/4
Factor 8*z**2 - 90*z + 252.
2*(z - 6)*(4*z - 21)
Factor 5*v**3 - 310*v**2 + 2705*v - 5460.
5*(v - 52)*(v - 7)*(v - 3)
Factor -z**2/2 - 1089*z/2 + 7721.
-(z - 14)*(z + 1103)/2
Find u, given that -3*u**3/4 + 813*u**2/4 + 615*u + 411 = 0.
-2, -1, 274
Factor a**3/4 + 3*a**2/4 - 61*a + 117.
(a - 13)*(a - 2)*(a + 18)/4
Factor -4*y**4 - 30448*y**3 - 58064208*y**2 - 463053184*y - 925133056.
-4*(y + 4)**2*(y + 3802)**2
Determine a, given that 9*a**4 + 70518*a**3 + 138250440*a**2 + 459863712*a - 368041344 = 0.
-3916, -4, 2/3
Suppose -6*s**4 + 1042*s**3 + 2464*s**2 + 8*s - 1408 = 0. Calculate s.
-2, -1, 2/3, 176
Factor 27379323*a**3 + 54722394*a**2 - 72492*a + 24.
3*(a + 2)*(3021*a - 2)**2
What is z in -2*z**5/15 - 82*z**4/5 - 11332*z**3/15 - 77748*z**2/5 - 625086*z/5 - 551034/5 = 0?
-33, -23, -1
Factor z**2/6 - 697*z/6 - 19043.
(z - 834)*(z + 137)/6
Suppose -4*v**3 + 192*v**2 - 2972*v + 14784 = 0. What is v?
11, 16, 21
Find a such that -a**5/4 - 81*a**4/4 - 74*a**3 + 231*a**2 = 0.
-77, -6, 0, 2
Factor -39*a**3 - 1185*a**2 - 3609*a - 1215.
-3*(a + 3)*(a + 27)*(13*a + 5)
Solve -o**3/3 - 46504*o**2/3 + 186028*o/3 - 186032/3 = 0 for o.
-46508, 2
Factor -5*s**3 - 247750*s**2 - 3069498565*s - 12274030580.
-5*(s + 4)*(s + 24773)**2
Suppose 4*u**2 - 2912*u - 29520 = 0. What is u?
-10, 738
Factor 2*l**3/3 - 4774*l**2/3 + 3178*l + 4770.
2*(l - 2385)*(l - 3)*(l + 1)/3
Factor -3*j**2/4 - 487245*j/4 + 487251/2.
-3*(j - 2)*(j + 162417)/4
Determine n, given that -5*n**4 + 5605*n**3/3 - 3695*n**2/3 - 13045*n/3 - 3730/3 = 0.
-1, -1/3, 2, 373
Determine n, given that -3*n**5/2 - 259*n**4/2 - 3239*n**3/2 - 10429*n**2/2 - 4803*n - 1080 = 0.
-72, -10, -3, -1, -1/3
Suppose 3*g**4/4 + 65*g**3 + 5121*g**2/4 - 434*g = 0. What is g?
-56, -31, 0, 1/3
What is f in 4*f**4/5 - 332*f**3 - 1808*f**2/5 + 11952*f + 59904/5 = 0?
-6, -1, 6, 416
Suppose 5*r**2/3 + 66571*r/3 + 4438 = 0. What is r?
-13314, -1/5
Let r**4 - 60614*r**3 + 918514249*r**2 = 0. What is r?
0, 30307
Let 3*v**4/4 - 2181*v**3/4 + 527067*v**2/4 - 41983839*v/4 - 43046721/2 = 0. Calculate v.
-2, 243
Factor -2*r**2/7 - 19836*r/7 - 19834/7.
-2*(r + 1)*(r + 9917)/7
What is p in -5*p**5 + 140*p**4 + 7575*p**3 + 14710*p**2 + 7280*p = 0?
-26, -1, 0, 56
Factor -3*u**3 - 2691*u**2 - 532125*u + 32888163.
-3*(u - 49)*(u + 473)**2
What is p in -p**4/3 - 153*p**3 + 923*p**2/3 + 153*p - 922/3 = 0?
-461, -1, 1, 2
Factor -3*c**3 - 90*c**2 - 873*c - 2730.
-3*(c + 7)*(c + 10)*(c + 13)
Solve z**4/5 + 219*z**3/5 - 543*z**2 - 8615*z - 24150 = 0 for z.
-230, -5, 21
Factor 3*o**2 + 189225*o - 1135458.
3*(o - 6)*(o + 63081)
Determine l, given that l**5/7 + 8*l**4/7 - 830*l**3/7 - 14400*l**2/7 - 16875*l/7 + 540000/7 = 0.
-15, 5, 32
Suppose 4*b**2 + 9293*b + 2323 = 0. What is b?
-2323, -1/4
Factor -2*k**2/13 - 38140*k/13 - 38138/13.
-2*(k + 1)*(k + 19069)/13
Factor -3*c**2 + 24798*c.
-3*c*(c - 8266)
Find i such that -2*i**5/7 + 98*i**4 + 6994*i**3/7 + 23218*i**2/7 + 28208*i/7 + 11296/7 = 0.
-4, -1, 353
Determine u so that 2*u**2/5 + 600522*u/5 + 120104 = 0.
-300260, -1
Factor -2*y**2/3 - 30704*y/3 + 51190.
-2*(y - 5)*(y + 15357)/3
Solve 2*n**3/9 - 1628*n**2/3 + 321314*n + 12280968 = 0.
-36, 1239
Factor -4*g**3/9 + 76*g**2/9 + 1784*g/9 - 1280/3.
-4*(g - 32)*(g - 2)*(g + 15)/9
Suppose -r**3/3 + 6613*r**2 + 6614*r - 39680/3 = 0. What is r?
-2, 1, 19840
Let -4*g**3 - 1368*g**2 + 2748*g - 1376 = 0. Calculate g.
-344, 1
Solve -2*l**2/7 - 96578*l/7 + 96580/7 = 0.
-48290, 1
Determine i, given that -i**4/3 - 866*i**3/3 + 292*i**2 + 2598*i - 2601 = 0.
-867, -3, 1, 3
Let 171*d**4/4 - 105*d**3/2 - 15177*d**2/4 + 1269*d = 0. What is d?
-9, 0, 1/3, 188/19
Suppose -5*d**4 + 655*d**3 + 32330*d**2 + 140420*d - 173400 = 0. What is d?
-34, -6, 1, 170
Factor -3*j**3/5 - 8052*j**2/5 - 271167*j/5 - 459510.
-3*(j + 17)**2*(j + 2650)/5
Factor 40*w**2/3 - 3548*w.
4*w*(10*w - 2661)/3
What is p in 18*p**5/11 + 934*p**4 + 176888*p**3/11 - 39816*p**2/11 = 0?
-553, -18, 0, 2/9
Factor -2*l**3/7 - 568*l**2/7 + 6490*l/7.
-2*l*(l - 11)*(l + 295