 1, 78
Find d, given that 70*d**2 - 6395*d + 32250 = 0.
75/14, 86
Solve -v**4 + 67*v**3 + 24637*v**2 + 1053569*v = 0.
-71, 0, 209
Find g, given that -16*g**5 - 57*g**4 + 37*g**3 + 36*g**2 = 0.
-4, -9/16, 0, 1
Find s such that -3*s**2 + 153*s + 1830 = 0.
-10, 61
Let 5*k**2 + 15690*k + 15685 = 0. Calculate k.
-3137, -1
Determine j so that 3*j**5 - 394*j**4 - 664*j**3 - 134*j**2 + 133*j = 0.
-1, 0, 1/3, 133
Let 3552*g**5 - 21322*g**4 + 46236*g**3 - 42754*g**2 + 14328*g - 40 = 0. Calculate g.
5/1776, 1, 2
Factor -j**4/2 - 545*j**3/2 + 14232*j**2.
-j**2*(j - 48)*(j + 593)/2
Factor -2*a**5 + 184*a**4 + 192*a**3 - 548*a**2 - 926*a - 372.
-2*(a - 93)*(a - 2)*(a + 1)**3
Suppose -4*b**5 - 140*b**4 + 292*b**3 - 148*b**2 = 0. What is b?
-37, 0, 1
What is j in 2*j**2/11 + 149686*j/11 + 1197360/11 = 0?
-74835, -8
Find g such that -2*g**2/21 + 379688*g/21 + 379690/21 = 0.
-1, 189845
Find o, given that o**5/5 - 14*o**4 + 796*o**3/5 - 658*o**2/5 - 797*o/5 + 728/5 = 0.
-1, 1, 13, 56
Factor -15*z**5 - 5515*z**4 - 3670*z**3.
-5*z**3*(z + 367)*(3*z + 2)
Solve 3*n**4 + 27096*n**3 - 162648*n**2 + 325344*n - 216912 = 0.
-9038, 2
Suppose -2*z**4 - 200*z**3 - 1038*z**2 + 8560*z + 9400 = 0. Calculate z.
-94, -10, -1, 5
Factor -2*s**2/15 - 1216*s/15 + 488/3.
-2*(s - 2)*(s + 610)/15
Solve w**3/2 - 515*w**2/2 + 34036*w - 225806 = 0 for w.
7, 254
Determine f so that 3*f**2 - 12195*f = 0.
0, 4065
Factor -2*g**2/3 + 137972*g/3 - 45990.
-2*(g - 68985)*(g - 1)/3
Find p such that 4*p**3 - 6964*p**2 - 21088*p + 279040 = 0.
-8, 5, 1744
Factor 1724*k**2 - 6898*k + 8.
2*(k - 4)*(862*k - 1)
Suppose -f**4/5 + 1366*f**3/5 - 481152*f**2/5 + 9934848*f/5 = 0. Calculate f.
0, 22, 672
Determine p so that p**2/6 + 2263*p/6 + 1506 = 0.
-2259, -4
Determine r, given that 6050*r**5/13 + 11990*r**4/13 - 89072*r**3/13 - 54920*r**2/13 + 420864*r/13 - 294912/13 = 0.
-192/55, 1, 2
Find h, given that 2*h**4/13 - 1558*h**3/13 - 179930*h**2/13 + 181486*h/13 = 0.
-103, 0, 1, 881
Let 2*x**2/5 - 3376*x/5 + 263384/5 = 0. What is x?
82, 1606
Factor u**3 - 577*u**2 + 19800*u - 175284.
(u - 541)*(u - 18)**2
Factor -y**4/12 + 3298*y**3/3 - 6594*y**2 + 39560*y/3 - 26372/3.
-(y - 13186)*(y - 2)**3/12
Let -4*o**5 - 404*o**4 - 9424*o**3 + 32000*o**2 - 1664*o - 42688 = 0. Calculate o.
-58, -46, -1, 2
Suppose -5*g**2 - 6785*g - 53960 = 0. What is g?
-1349, -8
Determine m so that -2*m**2/5 + 48592*m/5 - 295147808/5 = 0.
12148
Let 4*q**2 + 1160*q - 14496 = 0. What is q?
-302, 12
Factor -4*k**2 - 9056*k + 682404.
-4*(k - 73)*(k + 2337)
Factor -2*q**2 + 4038*q - 4036.
-2*(q - 2018)*(q - 1)
Factor -156*g**2 + 2312*g + 420.
-4*(g - 15)*(39*g + 7)
Solve -21*i**4/5 + 8942541*i**3/5 - 952018124193*i**2/5 + 1224011075007*i/5 - 272001893334/5 = 0.
2/7, 1, 212917
Determine c so that 64*c**5 - 1400*c**4 + 3644*c**3 + 16760*c**2 - 34500*c - 27000 = 0.
-3, -5/8, 5/2, 5, 18
Let -14*q**4/13 - 3832*q**3/13 + 28746*q**2/13 + 23572*q/13 - 8992/13 = 0. Calculate q.
-281, -1, 2/7, 8
Factor -50*s**3/17 - 93820*s**2 - 1275928*s/17 - 255184/17.
-2*(s + 31898)*(5*s + 2)**2/17
Let -y**2 + 68237*y + 68238 = 0. What is y?
-1, 68238
Determine k so that -k**5 - 140*k**4 - 4750*k**3 + 11080*k**2 + 35855*k + 20164 = 0.
-71, -1, 4
Suppose -2294*o**3 + 9184*o**2 - 9208*o + 32 = 0. What is o?
4/1147, 2
Factor q**4 + 1220*q**3 + 4868*q**2 + 4864*q.
q*(q + 2)**2*(q + 1216)
Factor i**4/4 - 23*i**3/2 + 106*i**2 - 705*i/2 + 1575/4.
(i - 35)*(i - 5)*(i - 3)**2/4
Factor -5*v**2 + 11480*v - 45840.
-5*(v - 2292)*(v - 4)
Solve -n**2 - 1457*n + 2918 = 0.
-1459, 2
Let -4*s**2 + 10136*s - 151140 = 0. What is s?
15, 2519
Factor -84*v**3 + 2176*v**2 - 1892*v - 200.
-4*(v - 25)*(v - 1)*(21*v + 2)
Factor 2*w**2/7 + 1055024*w/7 + 139134455072/7.
2*(w + 263756)**2/7
Suppose -4*w**3 - 1808*w**2 - 70172*w + 71984 = 0. What is w?
-409, -44, 1
Factor n**4/8 + 49*n**3/4 + 110*n**2.
n**2*(n + 10)*(n + 88)/8
Solve -2*q**5 - 1466*q**4/5 + 5098*q**3/5 - 334*q**2/5 - 5088*q/5 + 360 = 0.
-150, -1, 2/5, 1, 3
Suppose m**2/8 - 235*m/8 - 150 = 0. What is m?
-5, 240
Find d, given that -5*d**4 + 590*d**3 - 5680*d**2 - 189440*d + 2396160 = 0.
-18, 16, 104
Factor 5*p**2 + 955*p - 9000.
5*(p - 9)*(p + 200)
Determine c so that -40*c**2 + 105*c - 65 = 0.
1, 13/8
Suppose -y**3/6 + 151*y**2/6 - 25*y = 0. Calculate y.
0, 1, 150
Suppose 2*g**5 + 628*g**4 - 4524*g**3 - 9280*g**2 + 111850*g - 160500 = 0. What is g?
-321, -5, 2, 5
Let -3*z**2 + 7832166*z - 5111902020963 = 0. What is z?
1305361
Solve 4*h**2/3 - 87428*h = 0.
0, 65571
What is v in v**3 - 14420*v**2 + 52012928*v - 207821056 = 0?
4, 7208
Find k such that 10*k**4/3 + 84475*k**3/6 + 14864960*k**2 - 3717120*k = 0.
-2112, 0, 1/4
Solve -b**5 + 6042*b**4 + 267785*b**3 - 6042*b**2 - 267784*b = 0 for b.
-44, -1, 0, 1, 6086
Factor 2*k**2/3 - 7054*k/3 + 32788.
2*(k - 3513)*(k - 14)/3
Factor -3*x**2 - 50280*x - 210673200.
-3*(x + 8380)**2
Find l such that -4*l**5/3 - 7112*l**4/9 - 4688*l**3/9 + 28448*l**2/9 + 18944*l/9 = 0.
-592, -2, -2/3, 0, 2
Factor -2*b**3/19 + 66*b**2/19 - 432*b/19.
-2*b*(b - 24)*(b - 9)/19
Find o such that 3*o**5/7 + 111*o**4/7 - 11325*o**3/7 - 82623*o**2/7 - 179190*o/7 - 108000/7 = 0.
-80, -3, -1, 50
Find c, given that -c**2/2 - 1845*c/2 = 0.
-1845, 0
Factor -4*q**2 + 101416*q - 642825316.
-4*(q - 12677)**2
Factor 2*f**4/3 - 548*f**3 + 1094*f**2 - 1640*f/3.
2*f*(f - 820)*(f - 1)**2/3
Determine a so that a**3 + 98571*a**2 = 0.
-98571, 0
What is d in -4*d**4/7 + 80*d**3/7 - 384*d**2/7 - 1024*d/7 + 8192/7 = 0?
-4, 8
Factor u**2/2 - 304522*u + 46366824242.
(u - 304522)**2/2
Let -4*k**3/5 - 456*k**2/5 + 1908*k/5 + 472 = 0. What is k?
-118, -1, 5
Factor -2*j**2/7 + 1024*j/7 - 17480.
-2*(j - 322)*(j - 190)/7
Determine m, given that -m**4 - 199*m**3 - 7803*m**2 + 17019*m + 24624 = 0.
-144, -57, -1, 3
What is m in -m**3/6 + 679*m**2/6 - 329*m/3 - 2260 = 0?
-4, 5, 678
Find g, given that -3675*g**5 - 526785*g**4 - 18702288*g**3 + 12685356*g**2 + 5987520*g + 559872 = 0.
-72, -6/35, 1
Find a such that -5*a**2 - 56585*a + 849900 = 0.
-11332, 15
Solve -6*b**3/7 + 718*b**2/7 - 1184*b/7 + 472/7 = 0 for b.
2/3, 1, 118
Solve -v**3/2 - 4087*v**2/2 + 10227*v - 12276 = 0 for v.
-4092, 2, 3
Let 5*i**4 + 19335*i**3 - 213195*i**2 + 368365*i - 174510 = 0. Calculate i.
-3878, 1, 9
Factor 4*t**4 - 31384*t**3 + 61622452*t**2 - 246113328*t + 245987856.
4*(t - 3921)**2*(t - 2)**2
Let 2*k**4/5 - 3096*k**3/5 + 1106646*k**2/5 + 72221704*k/5 - 73325256/5 = 0. Calculate k.
-57, 1, 802
Solve -2*z**5/7 + 282*z**4/7 + 594*z**3/7 - 446*z**2 - 3432*z/7 = 0.
-4, -1, 0, 3, 143
Factor -g**2/6 - 659*g/6 - 16378.
-(g + 228)*(g + 431)/6
Determine u, given that -u**3 + 137*u**2 - 1082*u - 8960 = 0.
-5, 14, 128
Factor 5*y**4 - 171*y**3 - 320*y**2 - 144*y.
y*(y - 36)*(y + 1)*(5*y + 4)
Let 2*z**2 + 243384*z + 7404471432 = 0. Calculate z.
-60846
Determine r so that -18*r**4 - 2361*r**3 + 8935*r**2 + 4806*r - 6472 = 0.
-809/6, -1, 2/3, 4
Factor -d**3 - 340*d**2 + 341*d.
-d*(d - 1)*(d + 341)
Factor -2*j**2/3 + 1772*j/3 - 392498/3.
-2*(j - 443)**2/3
What is u in -u**2/10 - 378*u/5 + 8437/10 = 0?
-767, 11
Find k such that -4*k**5 + 1796*k**4 - 5360*k**3 + 3568*k**2 = 0.
0, 1, 2, 446
Find m such that -m**3/4 - 11141*m**2/8 - 5567*m/8 + 8355/4 = 0.
-5570, -3/2, 1
Factor -4*a**3 - 31584*a**2 - 62661456*a - 1240627520.
-4*(a + 20)*(a + 3938)**2
Factor 5*k**3 - 1680*k**2 + 102285*k - 197890.
5*(k - 257)*(k - 77)*(k - 2)
Factor -8505*m**3 + 1710*m**2 + 40*m.
-5*m*(9*m - 2)*(189*m + 4)
Solve -r**3/6 + 203*r**2/6 - 7487*r/6 + 7285/6 = 0.
1, 47, 155
Find v such that 3*v**5 + 210*v**4 + 2367*v**3 + 8316*v**2 + 6156*v = 0.
-57, -6, -1, 0
What is v in -3*v**3 - 78*v**2 + 2607*v + 17802 = 0?
-43, -6, 23
Factor u**4 - 117*u**3 + 4203*u**2 - 46139*u - 50460.
(u - 60)*(u - 29)**2*(u + 1)
Determine t so that -147*t**5 + 35952*t**4 - 297036*t**3 - 89424*t**2 + 3043008*t + 3670272 = 0.
-12/7, 6, 236
Factor 2*n**3 + 1078*n**2 - 6554*n - 7630.
2*(n - 7)*(n + 1)*(n + 545)
Suppose -i**3/2 - 18*i**2 + 776*i + 3360 = 0. Calculate i.
-60, -4, 28
Let 4*i**2 + 1153216*i + 83119196416 = 0. Calculate i.
-144152
Suppose -1400*g**5/17 + 5266*g**4/17 - 5660*g**3/17 + 1114*g**2/17 + 688*g/17 - 8/17 = 0. What is g?
-1/4, 2/175, 1, 2
Factor 5*f**5 + 1770*f**4 + 139905*f**3 - 2962980*f**2 + 14011380*f.
5*f*(f - 