4 - 1245/2 = 0 for r.
5, 6, 83
Let 5*j**3 - 12230*j**2 + 749995*j + 1548950 = 0. Calculate j.
-2, 65, 2383
Let 2*v**3/15 - 100*v**2/3 - 680*v/3 + 346800 = 0. Calculate v.
-90, 170
Solve -4*d**5 - 768*d**4 - 2888*d**3 + 22704*d**2 + 26316*d - 142128 = 0.
-188, -7, -3, 3
Suppose 8*n**5/5 + 218*n**4/5 + 166*n**3 + 226*n**2 + 602*n/5 + 92/5 = 0. Calculate n.
-23, -2, -1, -1/4
Let -2*m**2/3 - 2444*m - 361600/3 = 0. Calculate m.
-3616, -50
Suppose 4*r**4/3 - 16248*r**3 - 243788*r**2/3 - 130032*r - 195056/3 = 0. Calculate r.
-2, -1, 12191
Factor 4*g**2 + 9764*g.
4*g*(g + 2441)
Solve 2*n**3 + 44*n**2 - 258*n + 324 = 0.
-27, 2, 3
Suppose -3*q**4 + 4572*q**3 + 32103*q**2 + 73452*q + 55116 = 0. What is q?
-3, -2, 1531
Solve 5*p**2 + 327920*p + 5376576320 = 0.
-32792
Factor -2*j**2/7 + 947908*j/7 - 112316197058/7.
-2*(j - 236977)**2/7
Let 2*m**4 + 6192*m**3 + 6390144*m**2 + 2198209536*m = 0. Calculate m.
-1032, 0
Factor 5*v**3 + 300*v**2 - 1215*v - 17010.
5*(v - 9)*(v + 6)*(v + 63)
What is h in 3*h**5/5 - 2553*h**4/5 + 661347*h**3/5 - 53877447*h**2/5 - 10908270*h = 0?
-1, 0, 201, 450
Determine p so that 3*p**2 + 14778*p + 44307 = 0.
-4923, -3
What is b in -2*b**4 - 1168*b**3 - 186096*b**2 - 4545856*b - 30295328 = 0?
-278, -14
Factor 21*y**2 + 7740*y + 4416.
3*(y + 368)*(7*y + 4)
Factor 2*o**3/3 - 254*o**2/3 - 6514*o/3 - 2086.
2*(o - 149)*(o + 1)*(o + 21)/3
Suppose -121*j**4/3 - 66*j**3 - 37*j**2/3 + 12*j - 4/3 = 0. What is j?
-1, 2/11
Factor -k**2/2 - 70*k - 272.
-(k + 4)*(k + 136)/2
Let 3*u**5/4 + 171*u**4/2 - 4995*u**3/4 - 2667*u**2/2 = 0. Calculate u.
-127, -1, 0, 14
Find w such that -8*w**4/5 + 14198*w**3/5 - 6388986*w**2/5 + 15824522*w + 20180186/5 = 0.
-1/4, 13, 881
Factor -h**2/3 + 461*h/3 - 10160.
-(h - 381)*(h - 80)/3
Factor -2*p**5/13 - 256*p**4/13 - 7932*p**3/13 + 1280*p**2 - 650*p.
-2*p*(p - 1)**2*(p + 65)**2/13
Solve 3*h**4/2 - 289236*h**3 + 13942910616*h**2 = 0.
0, 96412
Suppose -3*l**2/7 - 18348*l/7 + 18351/7 = 0. What is l?
-6117, 1
Find y such that -2*y**4 + 51236*y**3 - 328089722*y**2 - 656333160*y - 328192200 = 0.
-1, 12810
Factor -20*m**2 + 2512*m - 1500.
-4*(m - 125)*(5*m - 3)
Suppose 2*h**4/5 - 358*h**3/5 - 4488*h**2/5 - 18208*h/5 - 24448/5 = 0. What is h?
-4, 191
Factor 4*v**3 + 812*v**2 + 45084*v + 760500.
4*(v + 39)**2*(v + 125)
Let -2*g**3/5 - 1494*g**2/5 - 2660*g - 11808/5 = 0. Calculate g.
-738, -8, -1
Suppose -4*f**3 + 10800*f**2 + 283612*f - 294408 = 0. What is f?
-27, 1, 2726
Solve -147*v**4 - 4158*v**3 - 5148*v**2 - 1218*v - 81 = 0 for v.
-27, -1, -1/7
Factor -4*u**3 - 24396*u**2 + 97636*u - 73236.
-4*(u - 3)*(u - 1)*(u + 6103)
Factor -1265*q**3 - 40*q**2.
-5*q**2*(253*q + 8)
Find o such that 2*o**4/17 + 2440*o**3/17 + 758696*o**2/17 + 8842560*o/17 + 26266752/17 = 0.
-604, -6
Factor -7*p**3 - 7562*p**2 - 2035783*p + 3512172.
-(p + 541)**2*(7*p - 12)
Find p such that -4*p**4 + 412*p**3 - 812*p**2 + 404*p = 0.
0, 1, 101
Determine v so that 35626*v**2 - 4*v = 0.
0, 2/17813
Factor 3*y**3 - 6834*y**2 - 13680*y.
3*y*(y - 2280)*(y + 2)
Factor t**2 - 10*t + 25.
(t - 5)**2
Determine t, given that 2*t**5/11 + 312*t**4/11 - 5076*t**3/11 + 9208*t**2/11 - 4446*t/11 = 0.
-171, 0, 1, 13
Determine s, given that -4*s**5/3 + 10040*s**4/3 - 6330076*s**3/3 + 37529896*s**2/3 + 56570368*s/3 - 87780224/3 = 0.
-2, 1, 7, 1252
Solve 12*i**5 + 1254*i**4 + 27369*i**3 + 407721*i**2/2 + 275082*i - 1605006 = 0.
-78, -19/2, 2
Let 44972*r**2 - 44984*r + 12 = 0. What is r?
3/11243, 1
Determine q, given that -q**2/2 + 14931*q/2 - 44775 = 0.
6, 14925
Factor 4*r**2 + 226436*r - 226440.
4*(r - 1)*(r + 56610)
Let d**2 + 112*d + 2880 = 0. Calculate d.
-72, -40
Factor -4*r**2 - 776*r - 18592.
-4*(r + 28)*(r + 166)
Determine b so that -2*b**5/7 + 82*b**4/7 + 2662*b**3/7 + 17894*b**2/7 + 10340*b/7 - 30976/7 = 0.
-11, -2, 1, 64
Determine x so that -50*x**3/3 - 30506*x**2/3 + 26890*x/3 + 1222 = 0.
-611, -3/25, 1
Factor -f**2/4 - 80*f - 319/4.
-(f + 1)*(f + 319)/4
Determine x, given that -x**4/2 - 307115*x**3 - 94319008993*x**2/2 + 94319930340*x - 47160118728 = 0.
-307116, 1
Suppose 6*c**4 - 1005*c**3 + 3465*c**2 - 3450*c + 984 = 0. Calculate c.
1/2, 1, 2, 164
Suppose -6*w**5/5 - 158*w**4/5 - 1282*w**3/5 - 4298*w**2/5 - 5616*w/5 - 288 = 0. Calculate w.
-15, -4, -3, -1/3
Factor j**3 - 8034*j**2 + 16112160*j + 96962400.
(j - 4020)**2*(j + 6)
Find n such that -n**2/3 + 2979*n - 382442/3 = 0.
43, 8894
Let 7*r**2/2 + 14916*r - 4262 = 0. What is r?
-4262, 2/7
Solve 2*y**2/11 - 244400*y/11 + 7466420000/11 = 0.
61100
Determine z so that 2*z**4 - 388*z**3/3 + 6566*z**2/3 - 3216*z - 1320 = 0.
-1/3, 2, 30, 33
Factor -30*u**2 - 2506*u - 2476.
-2*(u + 1)*(15*u + 1238)
What is x in x**2 - 1350082*x = 0?
0, 1350082
Suppose 2*m**5/9 - 46*m**4/3 + 934*m**3/9 + 49234*m**2/9 + 31648*m + 236672/9 = 0. What is m?
-8, -1, 43
What is w in -w**4 + 349*w**3 + 16945*w**2 - 34933*w + 17640 = 0?
-45, 1, 392
Find u such that 5*u**5 - 175*u**4 + 2240*u**3 - 12960*u**2 + 34560*u - 34560 = 0.
3, 4, 12
Solve -3*h**4/5 - 10137*h**3/5 - 8598576*h**2/5 - 59613588*h/5 + 68222304/5 = 0 for h.
-1686, -8, 1
Factor 4*o**2 - 4676*o + 127792.
4*(o - 1141)*(o - 28)
Let -a**2/3 + 82*a + 8587/3 = 0. Calculate a.
-31, 277
Suppose 4*i**4 + 232*i**3 + 5044*i**2 + 48720*i + 176400 = 0. What is i?
-15, -14
Factor 4*z**4/5 + 4592*z**3/5 - 4612*z**2.
4*z**2*(z - 5)*(z + 1153)/5
Factor -2*v**2/9 + 39710*v/3 - 119128/9.
-2*(v - 59564)*(v - 1)/9
Factor -3*u**4 + 324*u**2 + 1200*u + 1152.
-3*(u - 12)*(u + 2)**2*(u + 8)
Find j, given that 5*j**4 - 690*j**3 - 15*j**2 + 2080*j - 1380 = 0.
-2, 1, 138
Suppose y**3/3 + 2014*y**2/3 + 1108960*y/3 + 31073824 = 0. Calculate y.
-956, -102
Solve 2*y**3 + 34*y**2 - 7330*y - 173250 = 0.
-55, -25, 63
Let 2*d**5 - 4862*d**4 + 4852*d**3 + 19448*d**2 - 19440*d = 0. What is d?
-2, 0, 1, 2, 2430
Factor u**2 - 777*u - 281374.
(u - 1046)*(u + 269)
Solve 2*p**5 - 266*p**4 + 260*p**3 + 528*p**2 = 0.
-1, 0, 2, 132
Find u, given that -3*u**4 - 576*u**3 - 34071*u**2 - 559386*u + 1259712 = 0.
-81, -32, 2
Find o, given that 2*o**3 - 508*o**2 + 42944*o - 1208064 = 0.
78, 88
Solve -c**3/2 + 14918*c**2 + 89517*c/2 = 0 for c.
-3, 0, 29839
Factor -3*d**2 + 568335*d + 568338.
-3*(d - 189446)*(d + 1)
What is l in -32*l**5/5 - 8068*l**4/5 - 678383*l**3/5 - 19050948*l**2/5 - 2349648*l/5 + 592704/5 = 0?
-84, -1/4, 1/8
Factor 4*h**2/7 + 107652*h/7 - 30760.
4*(h - 2)*(h + 26915)/7
Suppose -c**5/6 - 681*c**4/2 + 23729*c**3/3 - 61982*c**2/3 - 1364*c + 82640/3 = 0. Calculate c.
-2066, -1, 2, 20
Factor -u**3/11 - 217*u**2/11 + 218*u/11.
-u*(u - 1)*(u + 218)/11
Find j such that 9*j**2 + 3090*j + 3081 = 0.
-1027/3, -1
What is x in -5*x**3 + 2565*x**2 - 319800*x - 2366000 = 0?
-7, 260
Suppose 152*g**2 + 666*g - 2268 = 0. What is g?
-126/19, 9/4
Factor -f**4 - 646*f**3 - 15693*f**2 - 104472*f - 89424.
-(f + 1)*(f + 12)**2*(f + 621)
Factor 3*n**2/5 - 426*n/5 + 1656/5.
3*(n - 138)*(n - 4)/5
Factor 2*u**2/9 - 3424*u/3 - 133874/9.
2*(u - 5149)*(u + 13)/9
Factor -y**3/7 + 6621*y**2/7 - 66135*y/7 + 165275/7.
-(y - 6611)*(y - 5)**2/7
Solve q**4 + 78*q**3 + 1000*q**2 - 2238*q + 1159 = 0.
-61, -19, 1
Find f such that f**2/3 + 19958*f + 298741323 = 0.
-29937
Suppose 5*z**4 - 410*z**3 - 3965*z**2 + 30650*z + 198000 = 0. What is z?
-11, -5, 8, 90
Let -5*k**5 - 1688120*k**4 - 189983838320*k**3 - 7127117034556090*k**2 - 7126547091481675*k + 14253854111564210 = 0. What is k?
-112541, -2, 1
Factor -2*w**4/13 - 11456*w**3/13 - 16427888*w**2/13 - 65574144*w/13 - 65528352/13.
-2*(w + 2)**2*(w + 2862)**2/13
Factor 47241*v**2/2 - 5258*v + 2.
(9*v - 2)*(5249*v - 2)/2
Suppose 5*w**3/2 + 883*w**2/2 + 19624*w + 11616 = 0. Calculate w.
-88, -3/5
Factor -5*y**3 + 335*y**2 - 5270*y + 9240.
-5*(y - 44)*(y - 21)*(y - 2)
Let 123627*y**5 - 3711246*y**4 + 73092*y**3 - 360*y**2 = 0. What is y?
0, 2/203, 30
Factor 2*f**3 + 17526*f**2 - 421488*f + 2530656.
2*(f - 12)**2*(f + 8787)
Determine l so that -l**3/2 - 45*l**2/2 + 450*l = 0.
-60, 0, 15
Find b, given that -4*b**4 - 324*b**3 - 5024*b**2 + 1296*b + 20160 = 0.
-60, -21, -2, 2
Suppose 5*t**4/11 - 1937*t**3 - 12798*t**2/11 + 51148*t/11 - 17048/11 = 0. Calculate t.
-2, 2/5, 1, 4262
Suppose -4*f**2 + 144*f + 148 = 0. Calculate f.
-1, 37
Factor 6*t**2 - 320410*t + 213604.
2*(t - 53401)*(3*t - 2)
Let 4*m*