r -q**2 + 41924*q + 41925.
-(q - 41925)*(q + 1)
Factor 2*m**3/3 + 124*m**2 + 672*m - 8640.
2*(m - 6)*(m + 12)*(m + 180)/3
Factor s**4 - 797*s**3 + 9393*s**2 + 21181*s + 10990.
(s - 785)*(s - 14)*(s + 1)**2
Suppose -x**5/3 - 281*x**4 - 3361*x**3/3 - 1399*x**2 - 1678*x/3 = 0. What is x?
-839, -2, -1, 0
Let 4*t**4/5 - 1356*t**3/5 - 5468*t**2/5 - 6852*t/5 - 2744/5 = 0. Calculate t.
-2, -1, 343
Solve -5*k**2 - 4159515*k - 4159510 = 0 for k.
-831902, -1
Determine f so that -2*f**3/5 - 828*f**2 + 12446*f/5 + 16584/5 = 0.
-2073, -1, 4
What is i in -2*i**3 + 28*i**2 + 29184*i = 0?
-114, 0, 128
Solve -3*n**5 + 96*n**4 - 84*n**3 - 294*n**2 + 471*n - 186 = 0 for n.
-2, 1, 31
Solve -5*i**3 - 1300*i**2 + 9315*i - 8010 = 0.
-267, 1, 6
Determine p, given that 12*p**5 - 3621*p**4 + 269058*p**3 + 618339*p**2 + 414960*p + 69312 = 0.
-1, -1/4, 152
Determine d so that -4*d**2 - 105416*d - 694533316 = 0.
-13177
Solve -2*f**5/15 + 118*f**4/5 - 17596*f**3/15 + 31096*f**2/3 + 277488*f/5 - 430336/3 = 0.
-5, 2, 16, 82
Solve -v**3/7 + 39706*v**2/7 - 394141609*v/7 = 0 for v.
0, 19853
Factor 22*t**2/5 - 4662*t/5 + 72896/5.
2*(t - 17)*(11*t - 2144)/5
Factor -4*g**3 - 2452*g**2 - 4888*g.
-4*g*(g + 2)*(g + 611)
Suppose -p**3/6 + 19*p**2/2 + 224*p/3 = 0. Calculate p.
-7, 0, 64
Determine v so that 2*v**4/3 - 978*v**3 + 49460*v**2/3 - 77376*v + 185600/3 = 0.
1, 8, 1450
Factor -a**2/7 + 529*a/7 - 36654/7.
-(a - 447)*(a - 82)/7
Factor -y**2/6 + 6206*y/3 - 19257218/3.
-(y - 6206)**2/6
Factor -v**4/6 + 769*v**3/3 + 18216*v**2 + 1269071*v/3 + 19552369/6.
-(v - 1607)*(v + 23)**3/6
Let q**3/3 - 164*q**2 + 980*q/3 = 0. What is q?
0, 2, 490
What is z in 4*z**5/9 - 30724*z**4/3 - 61464*z**3 = 0?
-6, 0, 23049
Factor -2*q**3 + 242*q**2 - 3876*q.
-2*q*(q - 102)*(q - 19)
Let -3*h**2/7 + 240222*h/7 - 4808884107/7 = 0. What is h?
40037
Factor -10*y**2 + 228515*y - 114255.
-5*(y - 22851)*(2*y - 1)
Let -50*n**4/9 + 377690*n**3/9 + 831082*n**2/9 + 196450*n/3 + 15112 = 0. Calculate n.
-1, -3/5, 7556
Find s, given that -s**2/10 + 188*s/5 - 7011/2 = 0.
171, 205
Factor 3*l**2/5 - 474702*l/5 + 18778499067/5.
3*(l - 79117)**2/5
Suppose -v**2/8 + 2414*v - 19311/8 = 0. Calculate v.
1, 19311
Factor -2*a**2 - 6862*a - 54768.
-2*(a + 8)*(a + 3423)
Determine u, given that 4*u**2 - 1011520*u + 63948294400 = 0.
126440
Suppose z**4/3 - 514*z**3/3 - 8429*z**2/3 - 8998*z - 6360 = 0. What is z?
-12, -3, -1, 530
Solve -3*u**2/4 + 45270*u + 90543 = 0 for u.
-2, 60362
Find x, given that -x**5/6 - 4*x**4/3 - 2*x**3 + 11*x**2/3 + 29*x/6 - 5 = 0.
-5, -3, -2, 1
Factor -m**4/2 - 557*m**3/2 - 1108*m**2 - 1106*m.
-m*(m + 2)**2*(m + 553)/2
Factor -3*x**2 + 3881172*x - 1255291341132.
-3*(x - 646862)**2
Factor 6*z**2/5 + 228882*z/5 - 915624/5.
6*(z - 4)*(z + 38151)/5
Factor 3*z**3 + 30810*z**2 - 61629*z + 30816.
3*(z - 1)**2*(z + 10272)
Determine a, given that -21*a**5/8 - 51*a**4/4 + 99*a**3/8 + 51*a**2 - 15*a/2 = 0.
-5, -2, 0, 1/7, 2
Solve -15*g**5 + 804*g**4 - 13356*g**3 + 68358*g**2 - 89493*g - 47610 = 0 for g.
-2/5, 3, 5, 23
Suppose d**5 + 82*d**4 + 360*d**3 - 2050*d**2 - 9625*d = 0. What is d?
-77, -5, 0, 5
Factor -3*u**3 - 33*u**2 + 648*u + 2160.
-3*(u - 12)*(u + 3)*(u + 20)
Find b such that -3*b**4/5 - 444*b**3/5 - 2931*b**2/5 + 4278*b/5 + 6768/5 = 0.
-141, -8, -1, 2
Factor -3*x**4/7 - 20532*x**3/7 - 35375772*x**2/7 - 840169440*x/7 - 5023339200/7.
-3*(x + 12)**2*(x + 3410)**2/7
Determine d so that -d**3/6 + 236*d**2/3 - 470*d/3 = 0.
0, 2, 470
Factor -3*z**4/7 - 415473*z**3/7 - 2740004865*z**2 - 295161542964483*z/7 - 590246369116482/7.
-3*(z + 2)*(z + 46163)**3/7
Factor 45*y**2 + 260*y - 7100.
5*(y - 10)*(9*y + 142)
Factor 898*q**3/7 - 8088*q**2/7 + 54*q/7.
2*q*(q - 9)*(449*q - 3)/7
Suppose -2*v**5/7 + 144*v**4/7 + 484*v**3 + 6336*v**2/7 + 442*v = 0. What is v?
-17, -1, 0, 91
Solve 3*i**2 - 18*i - 8721 = 0.
-51, 57
Solve -h**4 + 3310*h**3 - 4086576*h**2 + 2228425344*h - 452346688512 = 0 for h.
646, 888
Suppose 2*y**4 - 6554*y**3 + 7154778*y**2 - 2597166926*y - 5223005428 = 0. Calculate y.
-2, 1093
Suppose 5*d**2 + 5230510*d + 1367911743005 = 0. Calculate d.
-523051
Factor -2*z**4/17 - 58668*z**3/17 - 573890184*z**2/17 - 1874319711120*z/17 - 22409297683776/17.
-2*(z + 12)*(z + 9774)**3/17
Solve -2*h**4 + 84*h**3 + 566*h**2 + 504*h - 1152 = 0.
-4, -3, 1, 48
Factor -z**3/7 + 653*z**2/7 + 47094*z/7 + 258840/7.
-(z - 719)*(z + 6)*(z + 60)/7
Determine x, given that -x**5/2 + 4597*x**4/2 - 2638098*x**3 - 7944200*x**2 + 10580000*x = 0.
-4, 0, 1, 2300
Determine u so that 5*u**2 - 17340*u - 139040 = 0.
-8, 3476
Determine z, given that 42*z**4/5 - 1111*z**3/5 - 12734*z**2/5 + 5933*z/5 - 126 = 0.
-9, 1/6, 2/7, 35
Suppose 4*w**4 + 26913*w**3/2 - 11778*w**2 - 3365*w/2 = 0. What is w?
-3365, -1/8, 0, 1
Let -4*l**4 + 336*l**3 - 3088*l**2 + 9600*l - 9472 = 0. Calculate l.
2, 4, 74
Factor s**2/2 - 95*s - 3300.
(s - 220)*(s + 30)/2
What is b in b**2/4 + 21821*b/2 + 476156041/4 = 0?
-21821
Factor k**2/2 + 2469*k/2 - 18630.
(k - 15)*(k + 2484)/2
Find r such that 16*r**5 + 6*r**4 - 16*r**3 - 6*r**2 = 0.
-1, -3/8, 0, 1
Factor 2*b**3 + 9182*b**2 - 73650*b - 303534.
2*(b - 11)*(b + 3)*(b + 4599)
Determine t so that 4*t**4 - 5556*t**3 - 12*t**2 + 16660*t + 11112 = 0.
-1, 2, 1389
Let 6*j**4 - 4579*j**3 + 243019*j**2 - 3366104*j + 554288 = 0. Calculate j.
1/6, 28, 707
Find s, given that -2*s**3 + 2516*s**2 = 0.
0, 1258
Factor 5*g**3 - 80745*g**2 - 161505*g - 80755.
5*(g - 16151)*(g + 1)**2
Factor 2*c**2/11 + 83340*c/11 - 83342/11.
2*(c - 1)*(c + 41671)/11
Find m such that -2*m**3/5 + 1408*m**2/5 + 38112*m + 1186560 = 0.
-60, 824
Factor -4*f**2 + 117168*f - 351468.
-4*(f - 29289)*(f - 3)
Solve 14*i**3/19 - 2020*i**2/19 - 1474*i/19 + 3480/19 = 0 for i.
-12/7, 1, 145
Find z, given that -5*z**5 + 725*z**4 - 19510*z**3 + 163990*z**2 - 272325*z + 127125 = 0.
1, 15, 113
Suppose 2*p**2 + 18340*p + 42044450 = 0. What is p?
-4585
Factor -3*u**3 + 447*u**2 + 24522*u + 47232.
-3*(u - 192)*(u + 2)*(u + 41)
Factor 3*h**2 + 1059*h - 24750.
3*(h - 22)*(h + 375)
Determine q so that -242*q**5/19 + 15708*q**4/19 - 295246*q**3/19 + 1244004*q**2/19 + 15552*q - 1259712/19 = 0.
-1, 1, 6, 324/11
Find b, given that 2*b**2 + 86*b - 42000 = 0.
-168, 125
Solve -3*v**4 - 807*v**3 - 7767*v**2 + 807*v + 7770 = 0 for v.
-259, -10, -1, 1
Let 2*p**3 + 13248*p**2 + 26482*p - 39732 = 0. Calculate p.
-6622, -3, 1
Factor 5*b**3 - 169230*b**2 - 169235*b.
5*b*(b - 33847)*(b + 1)
Determine k, given that -5*k**4 + 10495*k**3 - 20975*k**2 + 10485*k = 0.
0, 1, 2097
Factor 2*c**2/21 + 372350*c/21 - 372352/21.
2*(c - 1)*(c + 186176)/21
Suppose -3*i**3/7 - 66*i**2/7 + 1863*i/7 - 702 = 0. Calculate i.
-39, 3, 14
Factor -532*a**2 + 936*a + 256.
-4*(a - 2)*(133*a + 32)
Determine g, given that g**2/6 - 765*g/2 - 1148/3 = 0.
-1, 2296
Determine x so that -2*x**2 + 19216*x - 38424 = 0.
2, 9606
Determine f, given that -2*f**2 - 846*f + 3416 = 0.
-427, 4
Factor -2*v**4/11 - 4184*v**3/11 - 2696256*v**2/11 - 358691328*v/11 + 115312619520/11.
-2*(v - 140)*(v + 744)**3/11
Suppose -15*l**3 + 11210*l**2 - 811700*l - 546120 = 0. Calculate l.
-2/3, 82, 666
Factor -2*i**4/9 + 20*i**3/9 - 2*i**2/3 - 12*i.
-2*i*(i - 9)*(i - 3)*(i + 2)/9
Let t**2/3 + 14186*t/3 + 50310649/3 = 0. What is t?
-7093
Determine a so that 2*a**5 + 188*a**4 - 1854*a**3 + 152*a**2 + 15464*a - 19776 = 0.
-103, -3, 2, 8
Factor -2*f**2 + 1242*f + 8792.
-2*(f - 628)*(f + 7)
Factor -w**4 + 655416*w**3 - 107392533264*w**2.
-w**2*(w - 327708)**2
Factor -17*t**3 - 20046*t**2 + 16523*t + 3540.
-(t - 1)*(t + 1180)*(17*t + 3)
Suppose 4*i**3/3 - 940772*i**2/3 + 1881532*i/3 - 313588 = 0. Calculate i.
1, 235191
Factor -l**2 + 304*l - 604.
-(l - 302)*(l - 2)
Solve 2*k**2 - 200*k - 5658 = 0 for k.
-23, 123
Factor -5*l**3 - 30*l**2 + 575*l - 1500.
-5*(l - 5)*(l - 4)*(l + 15)
Factor 5*q**2 + 6455*q - 218460.
5*(q - 33)*(q + 1324)
Factor -2*q**2/3 - 622*q/3 + 628.
-2*(q - 3)*(q + 314)/3
Determine x, given that 2*x**5/7 - 46*x**4 - 988*x**3/7 + 632*x**2/7 + 560*x + 2624/7 = 0.
-2, -1, 2, 164
Solve 6*x**3/5 + 618*x**2 + 386802*x/5 - 2861082/5 = 0.
-261, 7
Let 3*s**2/2 - 1149435*s + 440400273075/2 = 0. Calculate s.
383145
Solve -n**5/6 - 11*n**4/2 + 367*n**3/2 - 1883*n**2/6 - 890*n + 1026 = 0 for n.
-54, -2, 1, 3, 19
Determine x so that -30*x**4/7 - 2609*x**