, -5, -2, 11
Factor -m**2 + 17649*m - 17648.
-(m - 17648)*(m - 1)
Solve -4*v**3 + 2495720*v**2 - 389288644900*v = 0.
0, 311965
Find f such that -2*f**2 + 1999548*f - 499774025538 = 0.
499887
Factor 3*g**2/2 - 35673*g - 71349/2.
3*(g - 23783)*(g + 1)/2
Factor -136606*r**2/3 - 91070*r + 4/3.
-2*(r + 2)*(68303*r - 1)/3
Suppose -o**5/3 + 287*o**4 + 6079*o**3/3 - 2549*o**2/3 - 15930*o + 43400/3 = 0. What is o?
-5, 1, 2, 868
Factor 2*t**4/13 + 7868*t**3/13 - 23622*t**2/13.
2*t**2*(t - 3)*(t + 3937)/13
Determine m, given that m**3 - 188*m**2 - 773*m + 960 = 0.
-5, 1, 192
Solve 4*s**5 + 3912*s**4 + 73272*s**3 + 372272*s**2 + 171972*s - 621432 = 0.
-959, -9, -2, 1
Determine x so that 7546*x**5 - 852992*x**4 + 881104*x**3 - 339200*x**2 + 57376*x - 3584 = 0.
2/11, 2/7, 112
Factor h**3/8 - 201*h**2/8 + 245*h/2.
h*(h - 196)*(h - 5)/8
Determine c so that 2*c**5 + 10224*c**4 + 13045798*c**3 - 52357136*c**2 - 13045800*c + 52346912 = 0.
-2558, -1, 1, 4
Factor 5*i**3 - 560*i**2 + 2180*i - 2160.
5*(i - 108)*(i - 2)**2
Suppose -o**4/2 - 665*o**3/2 - 332*o**2 = 0. Calculate o.
-664, -1, 0
Determine k so that -k**3/3 - 18282*k**2 - 54843*k = 0.
-54843, -3, 0
Factor 2*h**3/3 - 537980*h**2/3 + 36177810050*h/3.
2*h*(h - 134495)**2/3
Let 4*w**3 + 15372*w**2 + 14807004*w + 73651220 = 0. What is w?
-1919, -5
Find c, given that 2*c**2 + 3000296*c + 1125222010952 = 0.
-750074
Factor -3*g**2/4 - 39*g/2 - 315/4.
-3*(g + 5)*(g + 21)/4
Determine l so that 3*l**5/4 - 27*l**4 + 501*l**3/2 - 198*l**2 - 1005*l/4 + 225 = 0.
-1, 1, 15, 20
Let -2*s**4/5 + 14*s**3 - 582*s**2/5 - 126*s + 1080 = 0. What is s?
-3, 3, 15, 20
Factor 408*m**4 - 4900*m**3 + 48*m**2.
4*m**2*(m - 12)*(102*m - 1)
Factor 3*m**2 + 15831*m + 768516.
3*(m + 49)*(m + 5228)
Factor a**5 - 97*a**4 + 1572*a**3 - 7184*a**2 + 12896*a - 8112.
(a - 78)*(a - 13)*(a - 2)**3
Let -5*t**2 - 5540*t + 33420 = 0. Calculate t.
-1114, 6
Suppose 21*p**4/2 + 610*p**3 + 58*p**2 = 0. Calculate p.
-58, -2/21, 0
Find h, given that -80*h**2/9 - 93812*h/9 + 10948/3 = 0.
-1173, 7/20
Factor 3*p**2/5 - 20982*p/5 + 58632.
3*(p - 6980)*(p - 14)/5
Determine w so that -2*w**5/3 - 34*w**4/3 + 74*w**3 + 994*w**2/3 - 3340*w/3 - 2800 = 0.
-21, -4, -2, 5
Solve -2*s**2/9 + 644*s/9 + 4606/9 = 0.
-7, 329
Suppose 37632*o**3 - 500640*o**2 - 362349*o - 63882 = 0. What is o?
-39/112, 14
Suppose -4*i**4/7 - 6616*i**3/7 - 2607124*i**2/7 + 106345584*i/7 - 1033493904/7 = 0. Calculate i.
-846, 19
Let 3*t**5/4 + 21*t**4 + 93*t**3 - 1647*t**2/2 - 567*t/4 + 6885/2 = 0. What is t?
-17, -15, -2, 3
Factor -2*d**4/3 - 20*d**3/3 - 14*d**2/3 + 12*d.
-2*d*(d - 1)*(d + 2)*(d + 9)/3
Factor i**4/6 - 959*i**3/2 + 22943*i**2/6 + 8607*i/2.
i*(i - 2869)*(i - 9)*(i + 1)/6
Solve -2*d**4/13 - 2394*d**3/13 - 40246*d**2/13 - 148518*d/13 + 191160/13 = 0 for d.
-1180, -9, 1
Factor o**2/2 - 185*o/2 - 24642.
(o - 333)*(o + 148)/2
Solve -4*d**5 - 1288*d**4 - 2564*d**3 - 1280*d**2 = 0 for d.
-320, -1, 0
Determine z so that 4*z**2 + 19904*z - 19908 = 0.
-4977, 1
Suppose 3*t**4 + 135453*t**3 + 2038522491*t**2 + 10224548946135*t - 20457253065906 = 0. Calculate t.
-15051, 2
Suppose -13*h**2/3 + 1366*h/3 - 1456/3 = 0. What is h?
14/13, 104
Factor 2*l**3/7 + 32440*l**2/7 + 131511754*l/7 - 263153284/7.
2*(l - 2)*(l + 8111)**2/7
Find x, given that -2*x**3/7 + 68*x**2/7 + 7614*x/7 = 0.
-47, 0, 81
Factor -4*c**2 + 608*c - 18480.
-4*(c - 110)*(c - 42)
Let 2*i**4/5 + 280*i**3 + 212158*i**2/5 + 42152*i = 0. Calculate i.
-479, -220, -1, 0
What is z in -15*z**4 - 4145*z**3 - 5415*z**2 + 23405*z + 8250 = 0?
-275, -3, -1/3, 2
What is p in -2*p**3/11 - 1630*p**2/11 + 14832*p/11 = 0?
-824, 0, 9
Determine r, given that -3*r**2 + 2541*r - 302016 = 0.
143, 704
Factor -4*h**2 - 4450*h + 13386.
-2*(h - 3)*(2*h + 2231)
Let -3*i**4/7 + 324*i**3/7 + 37089*i**2/7 - 77946*i/7 - 301608/7 = 0. What is i?
-71, -2, 4, 177
Factor -2*m**5 + 38724*m**4 - 187404794*m**3 - 374925768*m**2 - 187482248*m.
-2*m*(m - 9682)**2*(m + 1)**2
Let -2*d**5/15 + 22*d**4 + 2*d**3/15 - 22*d**2 = 0. Calculate d.
-1, 0, 1, 165
Let h**5/7 + 543*h**4/7 - 43858*h**3/7 + 1096850*h**2/7 - 8499375*h/7 - 9640625/7 = 0. Calculate h.
-617, -1, 25
Find g, given that -27*g**4/5 + 912*g**3/5 - 7221*g**2/5 + 4884*g/5 + 1452/5 = 0.
-2/9, 1, 11, 22
Factor 3*s**3/5 - 4518*s**2/5 + 13533*s/5 - 9018/5.
3*(s - 1503)*(s - 2)*(s - 1)/5
Find d, given that -4804839*d**4 + 955916559*d**3 + 49029786*d**2 + 838164*d + 4776 = 0.
-2/117, 199
Factor -3*d**2/8 + 969*d/4 + 5841/8.
-3*(d - 649)*(d + 3)/8
Let 3*d**3 - 99*d**2 - 702*d = 0. What is d?
-6, 0, 39
Factor -2*m**3/3 + 2026*m**2/3 - 4046*m/3 + 674.
-2*(m - 1011)*(m - 1)**2/3
Factor -3*b**4/4 - 3546*b**3 - 8389833*b**2/2 - 8379198*b - 16751307/4.
-3*(b + 1)**2*(b + 2363)**2/4
Find v such that -9*v**4 + 1294*v**3 - 6003*v**2 + 3606*v + 1112 = 0.
-2/9, 1, 4, 139
Factor -3*z**3 - 1317*z**2 + 32904*z - 200016.
-3*(z - 12)**2*(z + 463)
Let -4*u**4 + 380*u**3 + 388*u**2 - 380*u - 384 = 0. What is u?
-1, 1, 96
Factor -2*n**3/9 - 56*n**2/9 + 8*n/9 + 224/9.
-2*(n - 2)*(n + 2)*(n + 28)/9
Factor 2166413366*d**4 - 4307513236*d**3 - 50528400*d**2 - 197056*d - 256.
2*(d - 2)*(1027*d + 4)**3
Suppose -u**2 + 16*u + 2240 = 0. Calculate u.
-40, 56
Factor -4*t**2 - 56176*t + 112368.
-4*(t - 2)*(t + 14046)
Solve -5*z**3 + 454270*z**2 - 454265*z = 0 for z.
0, 1, 90853
Let -k**2/5 - 905*k + 13584/5 = 0. What is k?
-4528, 3
Solve 3*o**4 - 61680*o**3 + 316973514*o**2 + 634132080*o + 317096883 = 0.
-1, 10281
Factor 12*g**2/5 - 57399*g/5 + 14349/5.
3*(g - 4783)*(4*g - 1)/5
Factor -2*j**2/11 + 280*j/11 - 832.
-2*(j - 88)*(j - 52)/11
Factor -5*v**4 + 23260*v**3.
-5*v**3*(v - 4652)
Determine r so that 2*r**5 - 6*r**4 - 5644*r**3 - 117228*r**2 - 217558*r - 105966 = 0.
-29, -1, 63
Let g**5/9 + 1220*g**4/9 + 124844*g**3/3 + 1483520*g**2/9 + 1478656*g/9 = 0. Calculate g.
-608, -2, 0
Determine q, given that -3*q**2 + 322164*q - 8649136908 = 0.
53694
Suppose -19*z**3/5 + 8401*z**2/5 - 18046*z/5 + 528 = 0. What is z?
3/19, 2, 440
Find x, given that 3*x**4 + 10116*x**3 + 8537898*x**2 + 17045460*x + 8517675 = 0.
-1685, -1
Solve 19*c**5/2 - 305*c**4/2 - 1067*c**3/2 - 19*c**2/2 + 724*c - 38 = 0 for c.
-2, 1/19, 1, 19
Factor 2*v**4/15 + 148*v**3/3 + 734*v**2/5.
2*v**2*(v + 3)*(v + 367)/15
Find b, given that 125*b**4 - 2395*b**3 - 11745*b**2 + 16315*b - 2300 = 0.
-5, 4/25, 1, 23
Factor -l**3/3 + 6147*l**2 + 12295*l + 18443/3.
-(l - 18443)*(l + 1)**2/3
Factor -4*o**5 + 2880*o**4 + 105700*o**3.
-4*o**3*(o - 755)*(o + 35)
Solve 3*g**5 - 36*g**4 - 399*g**3 + 1404*g**2 - 972*g = 0.
-9, 0, 1, 2, 18
What is f in 12*f**4 + 14*f**3 - 1210*f**2 + 986*f + 198 = 0?
-11, -1/6, 1, 9
Let 2*q**4 - 152*q**3 + 2644*q**2 - 4840*q + 2346 = 0. What is q?
1, 23, 51
Factor -7*s**2 - 212535*s - 455400.
-(s + 30360)*(7*s + 15)
Find q, given that -32*q**3 + 523344*q**2 + 785070*q + 294408 = 0.
-3/4, 16356
Suppose -3*t**5 - 18*t**4 - 27*t**3 = 0. Calculate t.
-3, 0
Factor 261*x**2 + 1410*x - 1056.
3*(3*x - 2)*(29*x + 176)
Let -h**5 - 5*h**4 + 109*h**3 + 173*h**2 - 3048*h + 2772 = 0. Calculate h.
-11, -7, 1, 6
Factor -16*u**5 + 1372*u**4 + 344*u**3.
-4*u**3*(u - 86)*(4*u + 1)
What is g in -5*g**5 + 4050*g**4 - 28195*g**3 + 72370*g**2 - 80340*g + 32120 = 0?
1, 2, 803
Determine b, given that 38*b**2 + 21112*b - 21150 = 0.
-10575/19, 1
Solve -10*i**5/3 - 1228*i**4/9 + 2632*i**3/9 - 1460*i**2/9 + 86*i/9 = 0 for i.
-43, 0, 1/15, 1
Let -x**3 - 184*x**2 + 561*x = 0. Calculate x.
-187, 0, 3
Solve a**4 + 24*a**3 - 283*a**2 - 6594*a + 14112 = 0 for a.
-21, 2, 16
Factor 11*c**2/6 - 807520*c/3 - 146822/3.
(c - 146822)*(11*c + 2)/6
Determine x, given that 6*x**4 + 1996*x**3 + 35264*x**2 + 25536*x - 1446912 = 0.
-314, -12, 16/3
Factor 2*x**2/3 - 212*x/3 - 75194.
2*(x - 393)*(x + 287)/3
Suppose -2*g**2/11 + 464*g/11 + 6888/11 = 0. What is g?
-14, 246
Factor -a**3 - 30*a**2 + 2800*a.
-a*(a - 40)*(a + 70)
Factor -500*u**2 + 2505*u + 630.
-5*(4*u - 21)*(25*u + 6)
Find r such that -2*r**2 + 4742*r - 65996 = 0.
14, 2357
Determine h, given that -2*h**4/11 - 9802*h**3/11 - 7120*h**2 - 156576*h/11 = 0.
-4893, -4, 0
Factor 3*a**3/4 - 225*a**2/2 + 16233*a/4 - 15345/2.
3*(a - 93)*(a - 55)*(a - 2)/4
Let -2*k**3 + 23060*k**2 - 207378*k = 0. What is k?
0, 9, 11521
Factor 2*j**4 + 93580*j**3 + 1094932754*j**2 + 656