*2 - 72*k = 0. What is k?
-12, -3, -2, -1, 0
Solve 5*o**5 - 200*o**4 + 2045*o**3 - 8370*o**2 + 14940*o - 9720 = 0.
2, 3, 6, 27
Solve 4258*u**2 + 8471*u - 90 = 0.
-2, 45/4258
Let 8*q**4 + 324*q**3 - 99756*q**2 + 3246880*q - 3147456 = 0. What is q?
-291/2, 1, 52
Solve -7*p**5/4 - 85*p**4/2 + 393*p**3/4 + 511*p**2 - 409*p - 156 = 0 for p.
-26, -3, -2/7, 1, 4
Factor 3*o**2/4 - 172311*o/4.
3*o*(o - 57437)/4
Factor 3*y**3 - 201*y**2 - 624*y - 420.
3*(y - 70)*(y + 1)*(y + 2)
Factor -2*l**4/9 + 1790*l**3/9.
-2*l**3*(l - 895)/9
Suppose 2*t**4/3 - 86*t**3/3 - 7738*t**2/3 + 117978*t = 0. Calculate t.
-63, 0, 53
Factor r**4/4 + 50*r**3 + 4247*r**2/4 + 1012*r.
r*(r + 1)*(r + 23)*(r + 176)/4
Factor 3*f**2/4 - 4047*f/4.
3*f*(f - 1349)/4
Solve -56*k**3/5 + 15884*k**2 - 17008*k/5 - 11344/5 = 0.
-2/7, 1/2, 1418
Let -9*y**2/4 + 171493*y/4 + 19055/2 = 0. Calculate y.
-2/9, 19055
Find o such that o**5/4 - 75*o**4/4 + 507*o**3 - 5803*o**2 + 24948*o - 34848 = 0.
3, 4, 22, 24
Factor -3*z**4 - 7431456*z**3 - 6136284508254*z**2 - 1688948902618707240*z - 1688942766341630439.
-3*(z + 1)*(z + 825717)**3
Factor -4*o**2 + 5948*o.
-4*o*(o - 1487)
Solve 2*w**2 + 14*w + 24 = 0 for w.
-4, -3
Factor 2*y**2 + 46702*y + 93396.
2*(y + 2)*(y + 23349)
Find j, given that -20*j**3 - 644*j**2 - 4616*j - 8832 = 0.
-23, -6, -16/5
Solve b**2 - 13093*b/5 - 5238/5 = 0.
-2/5, 2619
Let -2*v**5 - 12*v**4 + 494*v**3 + 1032*v**2 - 1512*v = 0. Calculate v.
-18, -3, 0, 1, 14
Solve -2*z**5/13 + 87072*z**4/13 + 2*z**3/13 - 87072*z**2/13 = 0.
-1, 0, 1, 43536
Factor -2*a**2 - 1966200*a - 483242805000.
-2*(a + 491550)**2
Find p, given that p**2 + 606*p - 6160 = 0.
-616, 10
Factor -5*v**2 + 124680*v - 777255120.
-5*(v - 12468)**2
Factor 2*o**2/7 - 157746*o.
2*o*(o - 552111)/7
Find o, given that -4*o**3 + 1692*o**2 + 295792*o = 0.
-133, 0, 556
Let 3*v**2 + 630*v + 6567 = 0. What is v?
-199, -11
Solve -4*g**2 + 416*g + 4560 = 0 for g.
-10, 114
Factor -3*b**2/4 - 7035*b/4 - 7029/2.
-3*(b + 2)*(b + 2343)/4
Factor 2*n**3 + 742580*n**2/3 - 495056*n/3.
2*n*(n + 123764)*(3*n - 2)/3
Factor 3*u**3/4 - 31425*u**2/2 + 62847*u/4.
3*u*(u - 20949)*(u - 1)/4
Suppose 5*t**2 - 401250*t + 8050078125 = 0. What is t?
40125
Determine h, given that -40*h**3/3 + 47018*h**2 + 232834*h/3 + 16464 = 0.
-7/5, -1/4, 3528
Find r, given that -2*r**3 - 20*r**2 + 6806*r - 6784 = 0.
-64, 1, 53
Determine z so that -22*z**3/3 + 204*z**2 - 3650*z/3 - 228 = 0.
-2/11, 9, 19
Let -k**5/4 - 2*k**4 + 25*k**3/4 + 35*k**2 - 111*k + 72 = 0. Calculate k.
-8, -6, 1, 2, 3
Suppose 170*i**5 - 2165*i**4 + 7915*i**3 - 3190*i**2 - 17760*i - 4320 = 0. Calculate i.
-1, -9/34, 4, 6
What is d in 11*d**4/5 + 31695*d**3 + 571003362*d**2/5 + 321569300*d - 311212824/5 = 0?
-7202, -3, 2/11
Find t such that 3*t**2 - 2535*t - 10188 = 0.
-4, 849
Factor -2*u**2/9 - 488*u/9 + 5480/3.
-2*(u - 30)*(u + 274)/9
Solve w**3 + 443*w**2 - 1785*w + 1341 = 0 for w.
-447, 1, 3
Suppose n**2/2 + 962*n + 1923/2 = 0. What is n?
-1923, -1
Suppose 2*v**5 - 44*v**4 - 8276*v**3 - 56152*v**2 - 119022*v - 71100 = 0. What is v?
-50, -3, -1, 79
Suppose n**4/5 + 3388*n**3/5 - 3389*n**2/5 = 0. Calculate n.
-3389, 0, 1
Find u such that -u**3/2 + 25*u**2 - 49*u/2 = 0.
0, 1, 49
Suppose 5*h**2 - 10095*h + 10090 = 0. What is h?
1, 2018
Suppose 5*g**3 - 5915*g**2 - 5*g + 5915 = 0. What is g?
-1, 1, 1183
Factor 4*g**3/5 + 456*g**2/5 - 1888*g/5.
4*g*(g - 4)*(g + 118)/5
Solve 4*a**3 + 16832*a**2 + 16828*a = 0 for a.
-4207, -1, 0
Determine h, given that -4*h**5 + 1460*h**4 - 69204*h**3 - 4372*h**2 + 204728*h + 138432 = 0.
-1, 2, 56, 309
Suppose -b**5 - 937*b**4 - 1845*b**3 + 23425*b**2 + 46750*b = 0. Calculate b.
-935, -5, -2, 0, 5
Suppose 5*w**3/2 + 11620*w**2 - 46510*w + 46520 = 0. What is w?
-4652, 2
What is f in 2*f**2/9 - 325216*f/3 + 13220680832 = 0?
243912
Suppose 5*d**4 + 404780*d**3 + 8192342420*d**2 = 0. Calculate d.
-40478, 0
Factor -10*x**2 - 1285*x - 32130.
-5*(x + 34)*(2*x + 189)
Factor -5*b**2 + 7205*b + 7210.
-5*(b - 1442)*(b + 1)
Factor 20*u**2 - 3424284*u + 684856.
4*(u - 171214)*(5*u - 1)
Solve 3*b**5 - 195*b**4 + 369*b**3 + 579*b**2 - 744*b - 756 = 0 for b.
-1, 2, 63
Factor 2*p**3/5 + 3024*p**2/5 - 9098*p/5 - 2424.
2*(p - 4)*(p + 1)*(p + 1515)/5
Factor 5*k**2 + 22985*k + 91860.
5*(k + 4)*(k + 4593)
Let 4*j**2 + 826500*j - 826504 = 0. Calculate j.
-206626, 1
Find j, given that -1701*j**4 - 27324*j**3 - 121908*j**2 - 97376*j - 18496 = 0.
-68/9, -2/3, -2/7
Factor 110*l**2 + 7366*l - 268.
2*(l + 67)*(55*l - 2)
Suppose d**3/10 - 669577*d**2/10 - 334789*d/5 = 0. Calculate d.
-1, 0, 669578
Let -6*q**5 + 830*q**4 - 7170*q**3 - 7110*q**2 + 18616*q - 5160 = 0. What is q?
-2, 1/3, 1, 10, 129
Determine f so that -2*f**3/9 + 992*f**2/3 + 3976*f/3 + 11936/9 = 0.
-2, 1492
Let -3*o**5 - 23*o**4 + 161*o**3 + 1503*o**2 + 1834*o - 784 = 0. Calculate o.
-7, -2, 1/3, 8
Factor -4*t**2 + 21400*t - 28622500.
-4*(t - 2675)**2
Factor -j**2/4 + 15625*j/4 + 7813/2.
-(j - 15626)*(j + 1)/4
Find i, given that -2*i**2/7 + 20142*i/7 - 34488 = 0.
12, 10059
Determine j so that -38*j**5 + 453*j**4/4 + 15*j**3/2 - 173*j**2 + 18*j = 0.
-9/8, 0, 2/19, 2
Find i, given that -i**5/6 + 7*i**4/3 - 23*i**3/3 - 2*i**2 + 69*i/2 - 27 = 0.
-2, 1, 3, 9
Factor u**3/7 - 114*u**2/7 + 1760*u/7 - 3072/7.
(u - 96)*(u - 16)*(u - 2)/7
Determine q so that -3*q**2/2 + 8475*q/2 - 494649 = 0.
122, 2703
Factor -4*l**3/3 - 10760*l**2/3 + 330900*l - 7506000.
-4*(l - 45)**2*(l + 2780)/3
Find b, given that 2*b**4 - 16416*b**3 + 33685630*b**2 + 16416*b - 33685632 = 0.
-1, 1, 4104
Factor 5*c**3/4 - 4985*c**2/4 - 72730*c - 1031940.
5*(c - 1053)*(c + 28)**2/4
Factor 2*w**2/3 - 7358*w/3 + 9800.
2*(w - 3675)*(w - 4)/3
Solve 2*z**3/5 - 30074*z**2/5 - 30076*z/5 = 0 for z.
-1, 0, 15038
Find z, given that 17436*z**2/7 + 8934*z/7 + 108/7 = 0.
-1/2, -18/1453
Suppose 2*m**5/5 + 34*m**4/5 - 60*m**3 - 7964*m**2/5 - 31702*m/5 + 7986 = 0. Calculate m.
-11, 1, 15
Factor 4*x**4/7 - 1940*x**3/7 - 489288*x**2 + 412298992*x - 84904153376.
4*(x - 518)**3*(x + 1069)/7
Find i such that 3*i**4 - 240*i**3 + 2730*i**2 - 7920*i + 5427 = 0.
1, 3, 9, 67
Solve 10*w**2 - 102794*w + 41116 = 0.
2/5, 10279
Factor 2*f**3/11 - 31968*f**2/11 + 127455930*f/11 + 2304576036/11.
2*(f - 8001)**2*(f + 18)/11
Find y, given that -13*y**4/5 + 691*y**3/5 + 1206*y**2 + 11744*y/5 - 1952/5 = 0.
-4, 2/13, 61
Find i, given that 2*i**5/9 - 26*i**4/9 - 2*i**3/9 + 26*i**2/9 = 0.
-1, 0, 1, 13
Suppose 2*h**3/9 + 40*h**2/9 + 226*h/9 + 308/9 = 0. Calculate h.
-11, -7, -2
Factor -q**2/2 + 159448*q - 318895/2.
-(q - 318895)*(q - 1)/2
Factor -j**2 + 942*j.
-j*(j - 942)
Let -21*x**4 - 1401*x**3 - 3888*x**2 + 8196*x + 10704 = 0. Calculate x.
-446/7, -4, -1, 2
Factor -4*t**3/5 + 88*t**2/5 + 1452*t.
-4*t*(t - 55)*(t + 33)/5
Find q, given that -2*q**5/9 + 1604*q**4/9 - 1592*q**3/3 - 14372*q**2/9 - 7990*q/9 = 0.
-1, 0, 5, 799
Factor -n**5/7 + 1530*n**4/7 - 82500*n**3 - 847000*n**2.
-n**2*(n - 770)**2*(n + 10)/7
Factor 2*v**4 + 638*v**3 + 47916*v**2.
2*v**2*(v + 121)*(v + 198)
Factor -3*t**2/8 + 303*t/4 - 21855/8.
-3*(t - 155)*(t - 47)/8
Factor b**4 - 80*b**3 + 494*b**2 + 1232*b + 657.
(b - 73)*(b - 9)*(b + 1)**2
Let 2*r**3/13 - 1168*r**2/13 + 19278*r/13 = 0. What is r?
0, 17, 567
Suppose 4*n**3 + 424*n**2 + 9472*n = 0. What is n?
-74, -32, 0
Find k, given that -85*k**4 - 1330*k**3 - 3940*k**2 - 2520*k + 1440 = 0.
-12, -2, 6/17
Factor 4*o**3/7 - 2780*o**2/7 + 1184*o + 11072/7.
4*(o - 692)*(o - 4)*(o + 1)/7
Find u such that 3*u**4/4 + 237*u**3/4 - 183*u**2 + 123*u = 0.
-82, 0, 1, 2
Factor -2*t**2/9 - 3862*t/9 - 25480/3.
-2*(t + 20)*(t + 1911)/9
Factor u**2/2 + 1337*u/2 + 3330.
(u + 5)*(u + 1332)/2
Find g such that 5*g**4/2 + 8910*g**3 - 250215*g**2/2 + 438305*g = 0.
-3578, 0, 7
Let 2*q**5/13 - 48*q**4/13 - 1802*q**3/13 + 1848*q**2/13 = 0. Calculate q.
-21, 0, 1, 44
Factor -3*z**2/5 - 211386*z/5 - 3723670083/5.
-3*(z + 35231)**2/5
Suppose 5*u**5 - 356*u**4/3 + 412*u**3 + 2138*u**2/3 + 63*u - 114 = 0. Calculate u.
-1, -3/5, 1/3, 6, 19
Determine d, given that -2*d**3 + 722*d**2 - 4270*d + 3550 = 0.
1, 5, 355
Suppose -j**2/3 + 223*j/3 - 710 = 0. Calculate j.
10, 213
Solve 3*c**4/2 + 1083*c**3/2 + 3219*c**2/2 - 1083*c/2 - 1611 = 0.
-358, -3, -1, 1
Find c, given that 4*c**2 + 1179212*c = 0.
-294803, 0
Determine t, given tha