 108588*a**3 - 122840172*a**2 + 46341444708*a - 17360773092.
-4*(a - 1131)**3*(8*a - 3)
Determine u, given that u**4/2 - 217*u**3/2 - 3*u**2/2 + 653*u/2 - 217 = 0.
-2, 1, 217
Find m, given that -25*m**3 - 12845*m**2 - 101560*m - 202320 = 0.
-2529/5, -4
Factor -22*k**2/15 - 2*k + 28/15.
-2*(k + 2)*(11*k - 7)/15
Let 20*h**3/19 - 322*h**2/19 - 1108*h/19 + 6 = 0. Calculate h.
-3, 1/10, 19
Solve -5*h**4 + 870*h**3 + 2700*h**2 - 7990*h + 4425 = 0.
-5, 1, 177
What is z in -z**4/3 - 1322*z**3/3 + 1325*z**2 = 0?
-1325, 0, 3
What is p in -2*p**4/7 + 4*p**3 - 30*p**2/7 - 36*p + 432/7 = 0?
-3, 2, 3, 12
Let 4*l**2 + 17968*l + 89740 = 0. Calculate l.
-4487, -5
Let -2*y**2/7 - 30224*y/7 - 60440/7 = 0. What is y?
-15110, -2
Determine y, given that 4*y**4/5 + 6212*y**3/5 - 1256876*y**2/5 - 2532372*y/5 - 1269288/5 = 0.
-1734, -1, 183
Find p, given that 4*p**2 - 140000*p - 140004 = 0.
-1, 35001
Let 4*x**4/7 + 108*x**3/7 + 468*x**2/7 + 628*x/7 + 264/7 = 0. Calculate x.
-22, -3, -1
Factor 3*p**2/8 + 2037*p + 8142.
3*(p + 4)*(p + 5428)/8
Find v, given that v**5/9 - 497*v**4/9 + 37663*v**3/9 - 36671*v**2/9 - 37664*v/9 + 37168/9 = 0.
-1, 1, 92, 404
Solve 15*k**3 - 306560*k**2 + 408700*k + 408720 = 0.
-2/3, 2, 20436
Solve -r**3 + 6296*r**2 = 0 for r.
0, 6296
Suppose -3*m**4/5 - 201*m**3/5 + 3273*m**2/5 - 10359*m/5 + 1458 = 0. What is m?
-81, 1, 3, 10
Let l**3/4 - 469*l**2 + 9271*l/4 + 39291 = 0. What is l?
-7, 12, 1871
Factor -3*m**2 + 11403*m + 22818.
-3*(m - 3803)*(m + 2)
Factor 3*t**3 - 135*t**2 + 909*t - 777.
3*(t - 37)*(t - 7)*(t - 1)
Factor 3*p**4/4 + 3213*p**3/4 - 32355*p**2/4 + 81075*p/4.
3*p*(p - 5)**2*(p + 1081)/4
Find n such that -5*n**3/6 + 985*n**2/6 - 11960*n/3 + 21970/3 = 0.
2, 26, 169
Determine x, given that -27*x**5/2 + 51*x**4/2 + 8201*x**3/6 - 37157*x**2/6 - 4060*x/3 + 18502/3 = 0.
-11, -1, 1, 58/9
Determine o, given that 2*o**4/13 - 114*o**3/13 - 2970*o**2/13 + 6274*o/13 - 3192/13 = 0.
-21, 1, 76
Solve 3*l**2 + 927*l + 4560 = 0 for l.
-304, -5
Factor 4*a**2/7 - 3012*a/7 + 6008/7.
4*(a - 751)*(a - 2)/7
Factor 3*z**2/4 - 57657*z/2 + 1108109883/4.
3*(z - 19219)**2/4
Factor a**2/12 + 1915*a/2 + 34443/4.
(a + 9)*(a + 11481)/12
Let 243*g**2/4 + 227*g/2 = 0. Calculate g.
-454/243, 0
Find k such that 3*k**5/2 - 3924*k**4 + 2566296*k**3 = 0.
0, 1308
What is l in -2*l**4/3 + 1088*l**3/3 - 63984*l**2 + 13963648*l/3 - 363824032/3 = 0?
86, 286
Factor -2*o**3 - 3168*o**2 + 6342*o - 3172.
-2*(o - 1)**2*(o + 1586)
Find j, given that 5*j**5 + 1675*j**4 + 4620*j**3 - 120980*j**2 - 486160*j - 478080 = 0.
-332, -8, -2, 9
Factor -20*w**3 - 2208*w**2 + 1340*w + 888.
-4*(w - 1)*(w + 111)*(5*w + 2)
Solve b**2/5 - 115217*b - 576086/5 = 0.
-1, 576086
Factor -5*t**2 - 14800*t - 73875.
-5*(t + 5)*(t + 2955)
Factor 2*v**3 + 124*v**2 + 1790*v - 4092.
2*(v - 2)*(v + 31)*(v + 33)
Factor -2*d**2/11 + 4036*d/11 + 2208.
-2*(d - 2024)*(d + 6)/11
What is j in -27556*j**2 + 425624*j - 1643524 = 0?
641/83
Find p, given that 2*p**3/13 + 36*p**2/13 - 5456*p/13 = 0.
-62, 0, 44
What is a in a**3/4 + 79*a**2/2 - 1313*a/4 + 1245/2 = 0?
-166, 3, 5
Find v, given that -v**2/2 - 3158*v + 37968 = 0.
-6328, 12
Let -14*f**5/13 + 236*f**4/13 - 694*f**3/13 - 2624*f**2/13 - 360*f/13 = 0. What is f?
-2, -1/7, 0, 9, 10
Factor t**2/2 - 517763*t + 268078524169/2.
(t - 517763)**2/2
Factor -5*g**3 + 57560*g**2 - 165600105*g - 331430490.
-5*(g - 5757)**2*(g + 2)
Let -3*f**2 - 62412*f - 324604812 = 0. Calculate f.
-10402
Let -21*l**2 + 167*l - 310 = 0. Calculate l.
62/21, 5
Let -36*w**3/5 + 142*w**2/5 + 188*w/5 + 2 = 0. What is w?
-1, -1/18, 5
Solve -40*k**2/3 + 172805*k - 64800 = 0.
3/8, 12960
Factor 42*t**2 - 122*t - 12.
2*(t - 3)*(21*t + 2)
Let -5*p**3 - 5230*p**2 + 5*p + 5230 = 0. Calculate p.
-1046, -1, 1
Factor -k**2 - 2441*k - 26730.
-(k + 11)*(k + 2430)
Factor -3*q**3/7 + 7080*q**2/7 - 70500*q/7.
-3*q*(q - 2350)*(q - 10)/7
What is t in 3*t**3/2 + 1494*t**2 + 2982*t = 0?
-994, -2, 0
What is b in 62*b**2 - 10740*b - 8352 = 0?
-24/31, 174
Let s**2/4 - 1682*s - 3365 = 0. What is s?
-2, 6730
Suppose 33*l**4 - 1062*l**3 - 7167*l**2 - 4932*l + 1140 = 0. Calculate l.
-5, -1, 2/11, 38
What is t in -5*t**3 + 107755*t**2 + 2588280*t + 15534000 = 0?
-12, 21575
Let -6*g**3/11 - 2874*g**2/11 + 23334*g/11 - 20454/11 = 0. Calculate g.
-487, 1, 7
Factor 15*u**3 - 460240*u**2 + 1840780*u - 1840720.
5*(u - 2)**2*(3*u - 92036)
Let i**2 - 225 = 0. Calculate i.
-15, 15
Suppose -a**2 - 65*a + 5106 = 0. What is a?
-111, 46
Solve o**2/2 + 927*o/2 - 50787 = 0.
-1026, 99
Factor -4*q**3 + 48208*q**2 - 1442640*q.
-4*q*(q - 12022)*(q - 30)
Find h, given that -h**3/3 + 148*h**2/3 - 407*h/3 - 4060/3 = 0.
-4, 7, 145
Find g, given that -6*g**2 + 1070*g/3 + 2852/3 = 0.
-23/9, 62
Factor -x**3/6 + 5*x**2/2 + 53*x/3 - 20.
-(x - 20)*(x - 1)*(x + 6)/6
Factor -90*s**2 + 5765*s/2 - 80.
-5*(s - 32)*(36*s - 1)/2
Solve -2*q**4 + 844*q**3 + 10362*q**2 + 23436*q = 0 for q.
-9, -3, 0, 434
Solve -4*d**4 + 11900*d**3 - 35664*d**2 = 0 for d.
0, 3, 2972
Factor 40*s**4 - 84*s**3 + 48*s**2 - 4*s.
4*s*(s - 1)**2*(10*s - 1)
Factor -2*m**4 + 98*m**3 - 536*m**2 - 16440*m - 50400.
-2*(m - 30)**2*(m + 4)*(m + 7)
Solve -2*l**3/9 + 472*l**2/9 - 9230*l/3 + 53404 = 0 for l.
39, 158
Find w, given that w**4 + 2065*w**3 + 1065003*w**2 - 1108409*w - 21341780 = 0.
-1033, -4, 5
Let 8*f**3/7 + 382*f**2/7 - 8480*f/7 + 4550 = 0. What is f?
-65, 5, 49/4
Let -5*w**3 + 12720*w**2 - 8064420*w - 32461520 = 0. What is w?
-4, 1274
Find h such that 5*h**2 - 406160*h + 8248297280 = 0.
40616
Factor 15*o**3 + 2825*o**2 - 1915*o - 4725.
5*(o + 1)*(o + 189)*(3*o - 5)
Let c**3/8 - 224*c**2 + 3560*c - 14208 = 0. Calculate c.
8, 1776
Determine z, given that -2*z**4 + 436*z**3 - 2544*z**2 = 0.
0, 6, 212
Factor 4*w**3 + 196*w**2 + 2976*w + 14400.
4*(w + 12)**2*(w + 25)
Factor 13*w**2/2 + 380*w + 174.
(w + 58)*(13*w + 6)/2
Factor 2*x**2/21 - 2726*x/21 + 2720/7.
2*(x - 1360)*(x - 3)/21
Solve c**2/3 + 57784*c/3 + 834747664/3 = 0.
-28892
Suppose -l**4/4 - 1707*l**3/4 - 365509*l**2/2 - 545280*l - 362952 = 0. Calculate l.
-852, -2, -1
Suppose 3*y**3/5 + 4086*y**2/5 + 785781*y/5 - 157974 = 0. Calculate y.
-1130, -233, 1
Determine q so that q**5/3 - 2608*q**4/3 - 31394*q**3/3 - 120460*q**2/3 - 157175*q/3 - 65500/3 = 0.
-5, -1, 2620
Factor -i**2/4 + 1889*i/2 + 18915/4.
-(i - 3783)*(i + 5)/4
Let s**3 + 278*s**2 - s - 278 = 0. Calculate s.
-278, -1, 1
Factor -w**2/4 - 530571*w/2 - 281505586041/4.
-(w + 530571)**2/4
Let -5*p**4/6 + 95*p**3/3 + 415*p**2/6 - 100*p = 0. What is p?
-3, 0, 1, 40
Solve -l**5/12 + 7*l**4/3 + 61*l**3/12 - 7*l**2/3 - 5*l = 0 for l.
-2, -1, 0, 1, 30
Let 35*q**3 - 6050*q**2 - 6955*q - 870 = 0. What is q?
-1, -1/7, 174
Suppose 3*j**3 + 8469*j**2 + 151413*j - 159885 = 0. Calculate j.
-2805, -19, 1
Solve b**2 + 785*b - 6344 = 0 for b.
-793, 8
Factor 3*m**2/7 + 87*m + 1134.
3*(m + 14)*(m + 189)/7
Suppose -5*m**3 + 580*m**2 + 3615*m + 5490 = 0. Calculate m.
-3, 122
Factor 3*v**2 - 85890*v + 614757675.
3*(v - 14315)**2
Suppose 4*x**3/7 - 332*x**2/7 + 6376*x/7 - 864 = 0. What is x?
1, 28, 54
Let c**4/3 + 229*c**3/3 + 2645*c**2 + 15187*c/3 + 7480/3 = 0. What is c?
-187, -40, -1
Factor 4*n**3 - 14160*n**2 + 42452*n - 28296.
4*(n - 3537)*(n - 2)*(n - 1)
Factor 2*g**3 - 862*g**2 + 3422*g - 2562.
2*(g - 427)*(g - 3)*(g - 1)
Let 4*a**3 + 1448*a**2 + 40740*a + 298800 = 0. Calculate a.
-332, -15
Find x such that x**5 - 13*x**4 - 5*x**3 + 189*x**2 + 180*x = 0.
-3, -1, 0, 5, 12
Factor p**2 - 3045*p - 110916.
(p - 3081)*(p + 36)
Factor -a**3 + 2830*a**2 + 54151*a - 56980.
-(a - 2849)*(a - 1)*(a + 20)
Let 2*o**4/11 + 52*o**3/11 - 56*o**2/11 - 52*o/11 + 54/11 = 0. What is o?
-27, -1, 1
Solve 50*l**5 + 14410*l**4 + 949968*l**3 - 12686616*l**2 + 43675200*l - 45360000 = 0 for l.
-150, 12/5, 7
Let 57*n**4/4 - 175*n**3/4 + 183*n**2/4 - 69*n/4 + 1 = 0. Calculate n.
4/57, 1
Find c such that -3*c**4 + 13620*c**3 - 15928050*c**2 + 1065424500*c - 18357451875 = 0.
35, 2235
Suppose 3*r**2 + 2646*r - 684057 = 0. What is r?
-1091, 209
Factor 123*v**3 - 34938*v**2 + 2481876*v - 120984.
3*(v - 142)**2*(41*v - 2)
Solve 5*y**2/4 + 3415*y/4 - 14875 = 0.
-700, 17
Factor -n**4/5 + 781*n**3/5 + 9*n**2/5 - 7029*n/5.
-n*(n - 781)*(n - 3)*(n + 3)/5
Factor 2*r**4 - 206*r**3 - 2470*r**2 - 4314*r - 2052.
2*(r - 114)*(r + 1