**2
Solve 2*r**3 - 140614*r**2/5 + 56244*r/5 = 0 for r.
0, 2/5, 14061
Solve c**2/2 - 10305*c/2 + 36043 = 0.
7, 10298
Determine v so that -26*v**3/3 + 778*v**2/3 + 20*v = 0.
-1/13, 0, 30
Factor -q**3 + 83*q**2/2 - 76*q - 237/2.
-(q - 3)*(q + 1)*(2*q - 79)/2
Let 2*t**2/3 - 211568*t + 634702/3 = 0. What is t?
1, 317351
Find i such that -2*i**2/5 - 3164*i/5 = 0.
-1582, 0
Let -12*z**5 + 477956*z**4 - 955900*z**3/3 + 159316*z**2/3 = 0. What is z?
0, 1/3, 39829
Find b, given that 278763272*b**3/9 + 279188288*b**2/9 + 47242*b + 18 = 0.
-1, -9/11806
Factor -o**3 - 595*o**2 - 2368*o - 2364.
-(o + 2)**2*(o + 591)
Suppose -141*m**2/8 - 843*m/8 + 9/4 = 0. Calculate m.
-6, 1/47
Factor 2*z**3 + 53808*z**2 - 322910*z + 269100.
2*(z - 5)*(z - 1)*(z + 26910)
Factor -d**3/3 - 1587*d**2 - 19031*d/3 - 4757.
-(d + 1)*(d + 3)*(d + 4757)/3
Let -4*y**4/7 - 180*y**3/7 - 1992*y**2/7 - 848*y - 5280/7 = 0. Calculate y.
-30, -11, -2
Factor k**4/6 - 5*k**3/6 - 163*k**2/2 - 897*k/2 - 648.
(k - 27)*(k + 3)**2*(k + 16)/6
Factor 2*c**2/21 - 1608284*c/21 + 323322178082/21.
2*(c - 402071)**2/21
Find c such that -48*c**5 - 456*c**4 + 12645*c**3 - 48972*c**2 + 67305*c - 31050 = 0.
-23, 5/4, 2, 9
Factor -b**5 - 682*b**4 - 116281*b**3.
-b**3*(b + 341)**2
Determine l so that -l**5/4 - 33*l**4/2 + 213*l**3/4 + 193*l**2/2 - 477*l + 414 = 0.
-69, -3, 2
Let s**5/2 + 5908*s**4 + 17375259*s**3 - 454756484*s**2 + 5924842729*s/2 = 0. Calculate s.
-5921, 0, 13
Let 2*a**4 + 196050*a**3 + 9608704573*a**2/2 - 4804499325*a + 2402274169/2 = 0. What is a?
-49013, 1/2
Factor -i**2/5 - 311*i/5 + 942/5.
-(i - 3)*(i + 314)/5
Solve 15*b**3 + 609*b**2 + 1500*b + 684 = 0 for b.
-38, -2, -3/5
Suppose g**5 + 1603*g**4 + 845583*g**3 + 140779561*g**2 - 3166808420*g = 0. Calculate g.
-541, 0, 20
Determine q, given that -4*q**5/3 - 86*q**4/3 - 226*q**3 - 2374*q**2/3 - 3542*q/3 - 588 = 0.
-7, -9/2, -2, -1
Let -80*h**4 - 9080*h**3 + 4555*h**2 - 570*h = 0. What is h?
-114, 0, 1/4
Factor -5*g**2 - 145470*g - 290920.
-5*(g + 2)*(g + 29092)
Suppose -4*j**2 - 16*j + 98580 = 0. What is j?
-159, 155
Let -2*j**2/3 - 10028*j/3 - 12570098/3 = 0. Calculate j.
-2507
Factor -2*d**2/13 - 22*d - 6780/13.
-2*(d + 30)*(d + 113)/13
Suppose 4*s**5/5 - 172*s**4/5 - 11232*s**3/5 - 32112*s**2/5 + 1721088*s/5 - 6552576/5 = 0. What is s?
-24, 6, 79
Factor -5*v**3 - 317*v**2 + 864*v + 396.
-(v - 3)*(v + 66)*(5*v + 2)
Suppose 2*q**3/7 - 13732*q**2/7 + 3365320*q + 47169424/7 = 0. Calculate q.
-2, 3434
Let 2*o**3/9 - 508*o**2/9 + 1936*o/3 = 0. Calculate o.
0, 12, 242
Suppose -4*m**5 - 4720*m**4 - 340024*m**3 - 330592*m**2 + 340028*m + 335312 = 0. What is m?
-1103, -76, -1, 1
Determine j so that 6*j**4 - 242*j**3/3 - 332*j**2/3 + 968*j/3 + 1040/3 = 0.
-2, -1, 2, 130/9
Factor 4*r**2 + 8112*r + 64640.
4*(r + 8)*(r + 2020)
Suppose -3*m**3/7 + 327*m**2/7 + 348*m = 0. What is m?
-7, 0, 116
Suppose -15987*p**5/2 - 274845*p**4 - 104538*p**3 - 9996*p**2 = 0. What is p?
-34, -14/73, 0
Factor 2*f**3/21 - 704*f**2/21 - 2150*f/21 + 7100/21.
2*(f - 355)*(f - 2)*(f + 5)/21
Factor 2*n**4 - 140*n**3 - 8426*n**2 - 8284*n.
2*n*(n - 109)*(n + 1)*(n + 38)
Suppose 21*i**3 - 1326*i**2 + 15645*i + 176400 = 0. Calculate i.
-48/7, 35
Factor -v**3/6 - 643*v**2/3 - 2569*v/6 - 214.
-(v + 1)**2*(v + 1284)/6
Determine h, given that -3*h**3 + 1698*h**2 - 6744*h = 0.
0, 4, 562
Determine i, given that i**2/2 + 25846*i + 334007858 = 0.
-25846
Suppose w**2 + 529*w + 1054 = 0. What is w?
-527, -2
Solve h**5/6 + 3353*h**4/6 - 10069*h**3/6 - 3353*h**2/6 + 1678*h = 0.
-3356, -1, 0, 1, 3
Factor -2*s**4/7 + 394936*s**3/7 - 19496410572*s**2/7 - 5570572280*s - 2785314350.
-2*(s - 98735)**2*(s + 1)**2/7
Solve -2*p**3 - 564*p**2 - 36162*p + 518616 = 0 for p.
-147, 12
Solve -r**5 + 93*r**4 - 273*r**3 + 271*r**2 - 90*r = 0.
0, 1, 90
Solve -v**3 - 5777*v**2 + 11557*v - 5779 = 0 for v.
-5779, 1
Determine w so that w**3 + 2*w**2 - 73*w + 70 = 0.
-10, 1, 7
Let -8*o**4 + 3035*o**3 - 4080*o**2 - 29565*o + 30618 = 0. Calculate o.
-3, 1, 27/8, 378
Factor -2*l**5 - 146*l**4 - 3248*l**3 - 12688*l**2 + 232544*l + 492128.
-2*(l - 7)*(l + 2)*(l + 26)**3
Suppose 12*u**4 - 2080*u**3 - 119656*u**2 - 78144*u + 39420 = 0. Calculate u.
-45, -1, 1/3, 219
What is w in -2*w**2/3 + 8972*w + 53856 = 0?
-6, 13464
Factor 4*j**3 + 29132*j**2 + 87368*j + 58240.
4*(j + 1)*(j + 2)*(j + 7280)
Find f, given that -2*f**2/5 - 2448*f - 12238/5 = 0.
-6119, -1
Find z, given that 6*z**3/7 - 176308*z**2/7 - 58774*z/7 + 117540/7 = 0.
-1, 2/3, 29385
Let 2*p**2/11 + 118396*p/11 + 1752201602/11 = 0. Calculate p.
-29599
Find t such that -6*t**3/5 - 10628*t**2 + 1510394*t/5 - 99512 = 0.
-8885, 1/3, 28
Find s such that 196*s**5 - 318640*s**4 - 91248*s**3 + 312136*s**2 + 91052*s + 6504 = 0.
-1, -1/7, 1, 1626
Let -2*c**4 + 29*c**3/4 - 5*c**2/4 - 21*c/2 = 0. Calculate c.
-1, 0, 2, 21/8
Factor 2*x**2/11 - 398852*x/11 + 19885364738/11.
2*(x - 99713)**2/11
Factor -v**3/7 + 499*v**2 - 3052008*v/7 + 3048516/7.
-(v - 1746)**2*(v - 1)/7
Let 13*p**3 + 285*p**2 - 13*p - 285 = 0. Calculate p.
-285/13, -1, 1
Factor 3*y**2/2 + 70413*y/2 + 70407.
3*(y + 2)*(y + 23469)/2
What is a in 3*a**4/4 - 1293*a**3/2 + 10233*a**2/4 + 27027*a/2 = 0?
-3, 0, 7, 858
Factor 4*g**2 - 273908*g + 273904.
4*(g - 68476)*(g - 1)
Factor 961*a**4 + 9579*a**3 + 22049*a**2 + 15045*a + 3150.
(a + 2)*(a + 7)*(31*a + 15)**2
Find h, given that -2*h**4 - 1334*h**3 - 224412*h**2 - 648064*h + 2204480 = 0.
-332, -5, 2
Solve -2*l**2/7 + 4852*l/7 - 2942738/7 = 0.
1213
Find k, given that -75*k**4/2 - 23955*k**3/2 - 394623*k**2/2 - 154977*k/2 - 7701 = 0.
-302, -17, -1/5
Find z, given that -13*z**2/4 - 3979*z/2 - 306 = 0.
-612, -2/13
Suppose -2*p**2 + 4390*p - 30632 = 0. Calculate p.
7, 2188
Determine x, given that -14*x**4/15 + 15964*x**3/15 - 303544*x**2 + 86640*x = 0.
0, 2/7, 570
Suppose -2*q**3/7 + 2328*q**2/7 - 13864*q/7 - 37056/7 = 0. Calculate q.
-2, 8, 1158
Factor d**4/8 + 47*d**3/8 - 63*d**2/2 - 5729*d/2 + 2890.
(d - 20)*(d - 1)*(d + 34)**2/8
Suppose -3*r**3/7 - 54*r**2 + 1128*r + 17280/7 = 0. What is r?
-144, -2, 20
Determine p so that 3*p**3 + 864*p**2 - 2631*p - 3492 = 0.
-291, -1, 4
What is s in -3*s**3 + 4977*s**2 + 19944*s + 19956 = 0?
-2, 1663
Factor -y**4/4 - 15*y**3 - 639*y**2/2 - 2835*y - 35721/4.
-(y + 9)**2*(y + 21)**2/4
Solve -5*d**3 + 8110*d**2 + 214375*d - 222480 = 0.
-27, 1, 1648
Factor -4*o**2 + 368*o + 4080.
-4*(o - 102)*(o + 10)
Find g such that 4*g**2 - 194096*g/3 + 194084/3 = 0.
1, 48521/3
Suppose -4*v**3 - 524*v**2 - 6648*v - 11232 = 0. What is v?
-117, -12, -2
Solve 2*i**3/5 - 3564*i**2/5 + 1844802*i/5 - 59225688 = 0.
381, 1020
Factor -6*g**2/7 - 648*g/7 + 4914.
-6*(g - 39)*(g + 147)/7
What is a in -2*a**4/13 - 46*a**3/13 + 60*a**2/13 + 288*a/13 = 0?
-24, -2, 0, 3
Factor 16*l**2 - 2300*l - 19424.
4*(l + 8)*(4*l - 607)
Determine x so that -2*x**4/7 - 6*x**3 - 12*x**2/7 + 608*x/7 + 960/7 = 0.
-20, -3, -2, 4
Factor m**3/5 - 1323*m**2 + 39663*m/5 - 59481/5.
(m - 6609)*(m - 3)**2/5
Determine c so that -4*c**4/7 + 598*c**3/7 - 18960*c**2/7 - 256000*c/7 - 512000/7 = 0.
-8, -5/2, 80
Find h, given that 17652*h**2 - 547208*h - 124 = 0.
-1/4413, 31
Let -3*k**3 + 167847*k**2 - 2347634025*k - 2347801875 = 0. What is k?
-1, 27975
Factor 3*o**4 + 57*o**3 - 426*o**2 + 600*o.
3*o*(o - 4)*(o - 2)*(o + 25)
Factor a**2/4 - 898*a - 3593/4.
(a - 3593)*(a + 1)/4
Suppose 4*a**4 - 1192*a**3 + 63856*a**2 + 3883752*a + 11044044 = 0. Calculate a.
-33, -3, 167
What is p in p**3 + 5939*p**2 - p - 5939 = 0?
-5939, -1, 1
Factor 6*x**3 - 777*x**2 + 10986*x - 10215.
3*(x - 15)*(x - 1)*(2*x - 227)
Suppose -11*q**5/4 - 161*q**4/4 + 137*q**3/4 + 1193*q**2/4 + 273*q/2 - 90 = 0. What is q?
-15, -2, -1, 4/11, 3
Solve -z**4/4 - 537*z**3/4 + 94389*z**2/4 - 3639707*z/4 = 0.
-683, 0, 73
Factor l**3/2 + 5879*l**2/2 + 8805775*l/2 + 483013497/2.
(l + 57)*(l + 2911)**2/2
Determine j, given that -2*j**2 - 381326*j = 0.
-190663, 0
Determine w so that w**5 - 10*w**4 + 19*w**3 + 26*w**2 - 92*w + 56 = 0.
-2, 1, 2, 7
Factor -i**4/7 - 18*i**3 - 599*i**2/7 + 726*i/7.
-i*(i - 1)*(i + 6)*(i + 121)/7
Find i such that 6*i**5/5 + 606*i**4 - 618*i**3 - 5478*i**2 - 6684*i - 12144/5 = 0.
-506, -1, 4
Let -165*d**3 + 1119*d**2 + 5514*d + 2016 = 0. Calculate d.
-3, -2/5, 112/11
Factor 3*g**3 + 474216*g**2 + 1896828*g 