1227, -1, 0
Factor d**2/4 + 1917*d/4 - 3367.
(d - 7)*(d + 1924)/4
What is b in b**3/9 + 21382*b**2/9 + 12697344*b - 25404192 = 0?
-10692, 2
Factor -n**2/4 + 791783*n/2 - 626920319089/4.
-(n - 791783)**2/4
Factor -2*c**2/19 - 1278780*c/19 - 204409786050/19.
-2*(c + 319695)**2/19
Determine k, given that k**4 + 335*k**3 + 1328*k**2 + 1324*k = 0.
-331, -2, 0
Factor 2*g**2/7 + 380*g/7 - 39072/7.
2*(g - 74)*(g + 264)/7
Find z, given that 2*z**3 + 4014*z**2 + 526492*z + 522480 = 0.
-1866, -140, -1
Let -5*i**2 - 1745580*i - 152352476820 = 0. What is i?
-174558
Solve -h**4/3 + 43*h**3/6 + 5*h**2 - 86*h/3 - 44/3 = 0 for h.
-2, -1/2, 2, 22
Factor 2*h**2 - 836*h - 12990.
2*(h - 433)*(h + 15)
Determine v, given that -10*v**4/13 - 524*v**3/13 - 2544*v**2/13 - 212*v/13 + 3290/13 = 0.
-47, -5, -7/5, 1
Find s such that s**3/9 - 13*s**2 - 1221*s - 22143 = 0.
-33, 183
Let -3*l**5 - 15*l**4 + 216*l**3 + 1860*l**2 + 4512*l + 2880 = 0. What is l?
-6, -4, -1, 10
Factor 3*w**3/2 + 315*w**2 + 30411*w/2 - 142572.
3*(w - 8)*(w + 109)**2/2
Factor -2*j**3/5 + 896*j**2/5 - 3558*j/5 + 2664/5.
-2*(j - 444)*(j - 3)*(j - 1)/5
Find o, given that -559682*o**4/3 + 4232*o**3/3 + 4664014*o**2 - 105800*o/3 + 200/3 = 0.
-5, 2/529, 5
Let -2*o**5/9 - 21334*o**4/9 - 4740*o**3 = 0. What is o?
-10665, -2, 0
Find s, given that s**4 + 674*s**3 - 5475*s**2 - 12968*s - 6820 = 0.
-682, -1, 10
Factor 5*q**2 + 668860*q - 668865.
5*(q - 1)*(q + 133773)
Determine p, given that -15*p**4 + 1716*p**3 - 37749*p**2 - 112164*p + 50796 = 0.
-3, 2/5, 34, 83
Determine h so that -h**2/7 + 16120*h/7 + 32244/7 = 0.
-2, 16122
Factor 22*r**2/5 - 1048*r/5 - 2184/5.
2*(r + 2)*(11*r - 546)/5
Factor -m**3 - 73*m**2 + 1232*m + 122304.
-(m - 39)*(m + 56)**2
Factor n**4 + 2247*n**3 + 1265618*n**2 + 3781140*n + 2517768.
(n + 1)*(n + 2)*(n + 1122)**2
Let k**3/2 + 90635*k**2/2 - 181273*k/2 + 90637/2 = 0. Calculate k.
-90637, 1
Factor 2*u**5/3 + 112*u**4/3 + 440*u**3 - 2400*u**2.
2*u**2*(u - 4)*(u + 30)**2/3
Find b, given that -5*b**5 + 65*b**4 + 3815*b**3 - 74585*b**2 + 177270*b + 1299600 = 0.
-30, -3, 8, 19
Solve 4*u**4/3 - 929*u**3/3 - 748*u**2/3 + 11429*u/3 - 932 = 0.
-4, 1/4, 3, 233
Factor -2*f**4/11 + 432*f**3/11 - 2272*f**2 + 179712*f/11 - 346112/11.
-2*(f - 104)**2*(f - 4)**2/11
Factor 405*j**3 + 286110*j**2 + 127100*j + 14120.
5*(j + 706)*(9*j + 2)**2
Solve -50*w**5/3 - 48598*w**4/3 - 5248152*w**3 - 566660448*w**2 + 22674816*w = 0 for w.
-324, 0, 1/25
Let -2*w**3/9 + 2254*w**2/9 + 46880*w/3 + 237400 = 0. Calculate w.
-30, 1187
Solve -f**3 + 39*f**2 - 335*f - 375 = 0.
-1, 15, 25
Factor 5*h**2 - 1215*h - 90900.
5*(h - 303)*(h + 60)
Let -2*j**3/13 - 16332*j**2/13 + 65360*j/13 = 0. What is j?
-8170, 0, 4
Factor g**3/3 + 35*g**2 + 2000*g/3.
g*(g + 25)*(g + 80)/3
Factor -4*d**2 + 4116*d - 4112.
-4*(d - 1028)*(d - 1)
Solve -2*m**3 - 196*m**2 - 2114*m + 8160 = 0 for m.
-85, -16, 3
Find v such that -3*v**4 - 165*v**3 - 2247*v**2 + 165*v + 2250 = 0.
-30, -25, -1, 1
Factor -3*r**2 + 10275*r - 143262.
-3*(r - 3411)*(r - 14)
Let 5*j**2 - 256490*j = 0. Calculate j.
0, 51298
Let 7*w**4 + 128*w**3 - 664*w**2 - 2048*w - 528 = 0. What is w?
-22, -2, -2/7, 6
What is u in -2*u**2 - 1224156*u - 187319739042 = 0?
-306039
Factor 59858*p**2/5 + 2768*p/5 + 32/5.
2*(173*p + 4)**2/5
Factor 5*l**3 - 560*l**2 + 20900*l - 259920.
5*(l - 38)**2*(l - 36)
Solve 28*c**3 + 7120*c**2 - 34228*c - 10360 = 0 for c.
-259, -2/7, 5
What is p in -2*p**4/11 + 142634*p**3/11 - 285262*p**2/11 + 142630*p/11 = 0?
0, 1, 71315
Solve 3*z**5 + 4890*z**4 + 14652*z**3 + 14646*z**2 + 4881*z = 0 for z.
-1627, -1, 0
Let 4*g**4 + 26284*g**3 + 43191180*g**2 + 43164900*g = 0. Calculate g.
-3285, -1, 0
Let k**3/3 - 452*k**2 - k/3 + 452 = 0. Calculate k.
-1, 1, 1356
Solve -10*n**5 - 86745*n**4 - 188225740*n**3 - 469848945*n**2 + 376148000*n + 282013440 = 0 for n.
-4336, -3, -1/2, 1
Determine x, given that -3*x**4/5 + 36*x**3/5 - 108*x**2/5 + 96*x/5 = 0.
0, 2, 8
Factor 3*v**2/4 + 9612*v - 19227.
3*(v - 2)*(v + 12818)/4
Let -4*m**2 + 244*m - 696 = 0. What is m?
3, 58
Factor q**4 - 72*q**3 + 198*q**2 + 648*q - 1863.
(q - 69)*(q - 3)**2*(q + 3)
Factor b**3/5 - 242*b**2/5 + 331*b - 470.
(b - 235)*(b - 5)*(b - 2)/5
Determine k so that 2*k**5 + 296*k**4 + 13074*k**3 + 157652*k**2 - 797128*k + 854256 = 0.
-78, -37, 2
Let 3*q**5/2 - 503*q**4 - 338*q**3 + 671*q**2 + 673*q/2 - 168 = 0. Calculate q.
-1, 1/3, 1, 336
Solve 1235*p**2/3 + 9877*p/3 - 8 = 0 for p.
-8, 3/1235
Factor 1156*p**4 + 258808*p**3 + 14470404*p**2 - 1705088*p + 50176.
4*(p + 112)**2*(17*p - 1)**2
Factor 2*m**3/7 + 32848*m**2/7 + 134841034*m/7 - 269813476/7.
2*(m - 2)*(m + 8213)**2/7
Factor v**2 + 6*v - 6880.
(v - 80)*(v + 86)
Factor 3*r**3/5 + 504*r**2/5 - 2985*r + 40158/5.
3*(r - 23)*(r - 3)*(r + 194)/5
Factor 3*w**2 + 1704*w + 13440.
3*(w + 8)*(w + 560)
Suppose -2*n**2/3 - 103876*n/3 - 1348777922/3 = 0. What is n?
-25969
What is c in -4*c**5 + 524*c**4 - 22536*c**3 + 316408*c**2 + 22540*c - 316932 = 0?
-1, 1, 33, 49
Suppose -s**4/8 - 131257*s**3/4 - 2153550006*s**2 + 131257*s/4 + 17228400049/8 = 0. What is s?
-131257, -1, 1
Let 2*c**5/7 - 184*c**4/7 + 5578*c**3/7 - 59540*c**2/7 + 142272*c/7 - 88128/7 = 0. Calculate c.
1, 2, 17, 36
Factor -3*x**3 - 25773*x**2 - 55341072*x + 55366848.
-3*(x - 1)*(x + 4296)**2
Factor h**4 - 2129*h**3/3 - 8528*h**2/9 - 316*h.
h*(h - 711)*(3*h + 2)**2/9
Determine f so that -3*f**4 - 315*f**3 + 3033*f**2 - 5109*f + 2394 = 0.
-114, 1, 7
Let -10*x**2/13 - 54502*x/13 - 10900/13 = 0. What is x?
-5450, -1/5
Solve 8*f**3/7 - 4660*f**2/7 + 65944*f/7 - 4544 = 0.
1/2, 14, 568
Solve g**2 - 302*g + 1776 = 0 for g.
6, 296
Let -s**2/2 + 691*s/2 - 689 = 0. What is s?
2, 689
Factor -2*a**3/7 - 542*a**2/7 - 528*a/7 + 3240/7.
-2*(a - 2)*(a + 3)*(a + 270)/7
Suppose -27*f**5 - 507*f**4 - 2775*f**3 - 3705*f**2 - 978*f + 432 = 0. What is f?
-9, -8, -1, 2/9
Suppose 504*h**5 - 4840*h**4 + 98954*h**3/7 - 86592*h**2/7 - 10890*h/7 = 0. What is h?
-1/9, 0, 33/14, 5
Let 11*f**3/2 - 88069*f**2/2 + 176288117*f/2 - 48072027/2 = 0. What is f?
3/11, 4003
Let -5*n**4 + 295*n**3 - 3000*n**2 + 8620*n - 7520 = 0. Calculate n.
2, 8, 47
Determine w so that -5*w**2 + 233810*w - 2733355805 = 0.
23381
Determine y so that 2*y**4/3 + 110*y**3 + 4564*y**2/3 - 23088*y = 0.
-148, -26, 0, 9
Factor -t**4/2 + 416*t**3 - 114416*t**2 + 11601408*t - 388870272.
-(t - 332)**2*(t - 84)**2/2
Let -2*x**5/11 - 24*x**4/11 + 1088*x**3/11 + 8148*x**2/11 + 17730*x/11 + 972 = 0. Calculate x.
-27, -3, -1, 22
Solve -555458*a**4/5 - 870604*a**3/5 - 100826*a**2/5 + 188328*a/5 - 25992/5 = 0 for a.
-1, 114/527
Factor 2*o**2 + 230002*o/7 - 9388.
2*(o + 16429)*(7*o - 2)/7
Solve 14*k**2/13 - 297146*k/13 - 84900/13 = 0 for k.
-2/7, 21225
Determine z so that -z**2 + 188*z + 43605 = 0.
-135, 323
Factor -3*u**2 + 1569*u - 127866.
-3*(u - 422)*(u - 101)
Factor -d**2 - 493*d - 27456.
-(d + 64)*(d + 429)
Find s, given that -s**2/2 - 69687*s/2 = 0.
-69687, 0
Find j, given that -2*j**2/5 + 8596*j - 42978/5 = 0.
1, 21489
Solve -3*q**2/2 + 227433*q - 17241923163/2 = 0 for q.
75811
What is q in 2*q**3/13 - 2490*q**2/13 + 29664*q/13 - 88776/13 = 0?
6, 1233
Determine o so that 2*o**4/11 - 138344*o**3/11 + 276682*o**2/11 - 138340*o/11 = 0.
0, 1, 69170
Suppose -3*q**4 - 199*q**3 - 3946*q**2 - 22480*q + 16800 = 0. What is q?
-35, -20, -12, 2/3
Find v, given that 3*v**2/5 + 7977*v/5 - 431208/5 = 0.
-2712, 53
Suppose k**3/2 + 1993*k**2/2 + 117800*k + 3592218 = 0. What is k?
-1869, -62
Let 3*b**3 + 21591*b**2 + 107880*b = 0. What is b?
-7192, -5, 0
Solve n**3/3 + 7*n**2/3 - 10*n/3 - 16/3 = 0.
-8, -1, 2
Let -z**4/8 - 51*z**3/8 + 81*z**2/4 = 0. Calculate z.
-54, 0, 3
Factor -u**2 + 232*u + 233.
-(u - 233)*(u + 1)
Factor -4*u**3/7 + 5868*u**2/7 - 2212380*u/7 + 6272748.
-4*(u - 723)**2*(u - 21)/7
Determine j, given that -150*j**3/7 - 790*j**2/7 - 192*j/7 + 40/7 = 0.
-5, -2/5, 2/15
Solve -5*s**2/2 + 517083*s/2 + 103417 = 0.
-2/5, 103417
Factor -3*t**3/4 + 16560*t**2 - 132471*t/4 + 33117/2.
-3*(t - 22078)*(t - 1)**2/4
Solve -g**5/4 - 33*g**4/4 - 63*g**3/4 + 945*g**2/4 + 1053*g + 1215 = 0 for g.
-30, -3, 6
Factor 2*o**3/9 + 4204*o**2/9 - 1402*o/3.
2*o*(o - 1)*(o + 2103)/9
What is a in -18*a**5 - 166287*a**4 - 27708*a**3 + 55428*a**2 = 0?
-9238, -2/3, 0, 1/2
Factor -5*g**2 + 1435*g 