 0.
15331
Determine r so that 26*r**4/3 - 1915*r**3 + 16835*r**2/3 - 3560*r - 436/3 = 0.
-1/26, 1, 2, 218
Determine t, given that -2*t**2/11 + 42912*t/11 + 42914/11 = 0.
-1, 21457
Factor 5*r**3 + 690*r**2 - 755*r - 8340.
5*(r - 4)*(r + 3)*(r + 139)
Solve 2*b**2/7 - 492*b/7 + 2758 = 0 for b.
49, 197
Suppose 3*b**3/4 + 18*b**2 - 1191*b/4 + 945 = 0. What is b?
-36, 5, 7
Find g, given that 5*g**2 + 203230*g + 2065121645 = 0.
-20323
Let -4*y**5 + 836*y**4 - 6492*y**3 + 12028*y**2 + 6496*y - 12864 = 0. Calculate y.
-1, 1, 4, 201
Suppose -t**3/5 - 79*t**2 + 7402*t/5 - 13216/5 = 0. Calculate t.
-413, 2, 16
Factor s**2/2 - 3722*s + 37170.
(s - 7434)*(s - 10)/2
Determine q, given that -15*q**5 - 775*q**4 - 6535*q**3 + 112755*q**2 + 467770*q - 168200 = 0.
-29, -4, 1/3, 10
Suppose 65*s**3 + 5515*s**2 - 30100*s + 4500 = 0. What is s?
-90, 2/13, 5
Let t**5/4 - 23*t**4 + 1825*t**3/4 + 6619*t**2/2 + 7007*t + 4802 = 0. What is t?
-2, 49
Factor -1878*o**3 + 3121*o**2 - 1237*o - 6.
-(o - 1)*(3*o - 2)*(626*o + 3)
Suppose -3*a**4/2 - 12*a**3 + 99*a**2/2 = 0. What is a?
-11, 0, 3
Factor g**2/7 - 12344*g/7 + 38093584/7.
(g - 6172)**2/7
What is x in 2*x**5/7 + 248*x**4/7 + 7632*x**3/7 + 21428*x**2/7 + 20942*x/7 + 6900/7 = 0?
-75, -46, -1
Factor 4*x**2 - 137048*x + 1173884644.
4*(x - 17131)**2
Find c, given that -2*c**3/19 - 4*c**2 + 7216*c/19 = 0.
-82, 0, 44
Factor 4*c**2 - 7775992*c + 3779128224004.
4*(c - 971999)**2
Factor -2*r**2/7 - 799986*r/7 + 1599980/7.
-2*(r - 2)*(r + 399995)/7
Factor -x**2 - 644758*x.
-x*(x + 644758)
Factor -u**5/7 - 46*u**4/7 - 71*u**3 - 224*u**2.
-u**2*(u + 7)**2*(u + 32)/7
Suppose -5*l**5 - 155*l**4 + 3155*l**3 + 155*l**2 - 3150*l = 0. Calculate l.
-45, -1, 0, 1, 14
Factor -5*w**3/4 + 2595*w**2/2 + 57695*w/4.
-5*w*(w - 1049)*(w + 11)/4
Factor -z**3 - 12585*z**2 - 125775*z - 314375.
-(z + 5)**2*(z + 12575)
Let -3*i**5 + 1919*i**4 + 645*i**3 - 3199*i**2 - 642*i + 1280 = 0. What is i?
-1, 2/3, 1, 640
Determine w, given that 5*w**3 + 2308530*w**2 + 266465538045*w = 0.
-230853, 0
What is s in -3*s**5 + 259*s**4 + 3775*s**3 - 1287*s**2 = 0?
-13, 0, 1/3, 99
Factor -2*t**2/15 - 44*t/5 + 103818/5.
-2*(t - 363)*(t + 429)/15
What is d in 2*d**4/5 - 26546*d**3/5 + 5308*d**2 + 53088*d/5 = 0?
-1, 0, 2, 13272
Find u such that -6*u**3/17 - 1076*u**2/17 - 3470*u/17 + 8800/17 = 0.
-176, -5, 5/3
Find a, given that a**5 - 5795*a**4 + 8398403*a**3 - 8392609*a**2 = 0.
0, 1, 2897
Find v, given that 2*v**2 + 58812*v + 294010 = 0.
-29401, -5
Determine i so that -11*i**4 + 153*i**3 + 355*i**2 + 207*i + 16 = 0.
-1, -1/11, 16
Let -11*f**3/5 - 91936*f**2/5 - 38417547*f + 34928082/5 = 0. Calculate f.
-4179, 2/11
Let 2*v**2/5 - 8088*v/5 - 24282/5 = 0. What is v?
-3, 4047
Find z such that 3*z**2 + 1423236*z + 1423233 = 0.
-474411, -1
What is c in -3*c**5 - 1224*c**4 - 1218*c**3 + 1224*c**2 + 1221*c = 0?
-407, -1, 0, 1
Find t, given that 2*t**3 + 7399*t**2 - 3700*t = 0.
-3700, 0, 1/2
Factor 4*y**2 + 5040*y + 15084.
4*(y + 3)*(y + 1257)
Find x, given that 2*x**3 + 757050*x**2 + 71640966336*x + 71640209288 = 0.
-189262, -1
Suppose -44*d**3/5 + 55696*d**2/5 + 177636*d/5 + 30456/5 = 0. Calculate d.
-3, -2/11, 1269
Factor 2*z**4/5 + 13014*z**3.
2*z**3*(z + 32535)/5
Determine a so that -4*a**2 + 283264*a - 5014905856 = 0.
35408
What is b in -b**5/4 - 3*b**4/2 + 67*b**3 + 1189*b**2/2 - 2331*b/4 - 10829 = 0?
-13, -7, 4, 17
Solve -3*r**2/8 - 2019*r/2 + 8079/8 = 0 for r.
-2693, 1
Suppose 6*w**2/5 - 98526*w/5 + 295524/5 = 0. What is w?
3, 16418
Factor -a**3/3 - 6596*a**2/3 - 3627799*a - 7246806.
-(a + 2)*(a + 3297)**2/3
Factor 3*v**3 + 1896*v**2 - 11457*v + 17226.
3*(v - 3)**2*(v + 638)
Determine g, given that g**4/4 + 601*g**3/2 + 600*g**2 = 0.
-1200, -2, 0
Solve -12*k**5 - 371745*k**4 - 3838824735*k**3 - 13215153928230*k**2 - 9908246697300*k + 3303068777928 = 0 for k.
-10326, -1, 1/4
Factor -530*q**2 + 18775*q - 7875.
-5*(q - 35)*(106*q - 45)
Factor 2*l**2/7 + 6642*l/7 - 37440.
2*(l - 39)*(l + 3360)/7
Factor k**2/5 - 30*k - 616/5.
(k - 154)*(k + 4)/5
Solve -3*m**2/7 - 4173*m/7 + 12546/7 = 0.
-1394, 3
Find m such that -162*m**4/17 - 72*m**3 + 25354*m**2/17 - 11080*m/17 + 72 = 0.
-17, 2/9, 9
Solve -2*i**5 - 4276*i**4 - 4264*i**3 + 21364*i**2 - 12822*i = 0 for i.
-2137, -3, 0, 1
Factor t**4 + 10435*t**3 + 31299*t**2 + 31297*t + 10432.
(t + 1)**3*(t + 10432)
Find j such that 2*j**4 - 1382*j**3 - 8418*j**2 + 37638*j = 0.
-9, 0, 3, 697
Factor 3*b**2 - 23328*b + 45349632.
3*(b - 3888)**2
Let -b**4/4 + 35*b**3/2 + 1259*b**2/4 - 31959*b + 176967 = 0. What is b?
-42, 6, 53
Factor 2*s**2 + 762792*s + 72731454408.
2*(s + 190698)**2
Suppose 3*a**2/2 + 494523*a = 0. What is a?
-329682, 0
Factor z**3 + 198105*z**2 + 9811694907*z + 29433301803.
(z + 3)*(z + 99051)**2
Determine r so that -2*r**4/17 + 3370*r**3/17 + 6*r**2/17 - 10114*r/17 + 6740/17 = 0.
-2, 1, 1685
What is g in -10*g**4/17 - 3228*g**3/17 - 8896*g**2/17 + 20544*g/17 + 20480/17 = 0?
-320, -4, -4/5, 2
Suppose 2*z**2/5 + 191348*z/5 = 0. Calculate z.
-95674, 0
Solve 5*l**2 + 2980*l + 65895 = 0 for l.
-573, -23
Factor -2*o**2/11 - 421000*o/11 - 22155125000/11.
-2*(o + 105250)**2/11
Find v, given that 4*v**5/3 + 9152*v**4 + 15704832*v**3 = 0.
-3432, 0
Suppose 22*m**5/3 - 72*m**4 + 192*m**3 - 416*m**2/3 - 32*m = 0. What is m?
-2/11, 0, 2, 6
Factor 4*t**2 - 402872*t + 10144115524.
4*(t - 50359)**2
Solve -12*u**2/5 + 2793*u - 10467/5 = 0 for u.
3/4, 1163
Factor -2393*u**3 + 4800356*u**2 - 2407375525*u - 2012018.
-(u - 1003)**2*(2393*u + 2)
Let -s**5/6 - 1429*s**4/6 - 6394*s**3/3 - 5680*s**2/3 = 0. What is s?
-1420, -8, -1, 0
Factor -4*x**2/5 - 852*x/5 - 44744/5.
-4*(x + 94)*(x + 119)/5
What is c in -5329*c**2/5 - 161768*c/5 - 1227664/5 = 0?
-1108/73
Factor 4*w**3/5 - 6*w**2 - 562*w/5 - 1428/5.
2*(w - 17)*(w + 6)*(2*w + 7)/5
Factor 2*u**4/5 + 18*u**3/5 + 10*u**2 + 54*u/5 + 4.
2*(u + 1)**2*(u + 2)*(u + 5)/5
Find y, given that y**4/2 - 44*y**3 - 471*y**2/2 + 279*y = 0.
-6, 0, 1, 93
Solve 2*x**2/7 + 10550*x/7 + 105300/7 = 0 for x.
-5265, -10
Factor -3*v**3/2 - 5601*v**2/2 - 2682873*v/2 - 63618075/2.
-3*(v + 25)*(v + 921)**2/2
Factor 5*x**2 - 7905*x - 143910.
5*(x - 1599)*(x + 18)
Suppose -b**2/5 + 248*b/5 - 10752/5 = 0. Calculate b.
56, 192
What is a in 14*a**2/13 + 84934*a/13 - 24268/13 = 0?
-6067, 2/7
Let c**5/7 - 3*c**4/7 - 23*c**3 - 297*c**2/7 + 160*c/7 + 300/7 = 0. What is c?
-10, -2, -1, 1, 15
Suppose -4*c**2 - 7504*c + 7508 = 0. What is c?
-1877, 1
Determine m, given that -20*m**3 + 4469968*m**2 - 249758568004*m + 99902712008 = 0.
2/5, 111749
Find g such that 225*g**4 + 595715*g**3 - 821450*g**2 - 688780*g - 105960 = 0.
-2649, -2/5, -2/9, 2
Factor -n**5/3 - 370*n**4/3 + 1492*n**3/3 - 1496*n**2/3.
-n**2*(n - 2)**2*(n + 374)/3
Factor 3*o**3 + 41778*o**2 - 27*o - 376002.
3*(o - 3)*(o + 3)*(o + 13926)
Determine t so that -2*t**4 - 508*t**3 - 25514*t**2 + 867360*t - 4173336 = 0.
-139, 6, 18
What is l in 2*l**3 - 26360*l**2 - 369334*l - 1293012 = 0?
-7, 13194
Factor h**4/7 - 460*h**3/7 - 463*h**2/7 + 922*h/7.
h*(h - 461)*(h - 1)*(h + 2)/7
Factor -2*v**2/3 - 108304*v/3 - 1466219552/3.
-2*(v + 27076)**2/3
Let 5*v**3 + 645*v**2 + 8830*v + 31920 = 0. What is v?
-114, -8, -7
What is y in 3*y**4 + 906*y**3 - 9*y**2 - 2712*y + 1812 = 0?
-302, -2, 1
Factor -2*f**2 + 73378*f + 73380.
-2*(f - 36690)*(f + 1)
Let 2*k**5/7 - 52*k**4/7 + 82*k**3/7 + 328*k**2/7 + 192*k/7 = 0. What is k?
-1, 0, 4, 24
Factor 12*w**2/7 - 5559304*w/7 - 3706208/7.
4*(w - 463276)*(3*w + 2)/7
Solve a**4/4 - 487*a**3/2 + 3603*a**2 - 12953*a/2 + 12467/4 = 0.
1, 13, 959
Suppose -25*d**5 + 1035*d**4 + 2815*d**3 + 1985*d**2 - 210*d - 440 = 0. What is d?
-1, 2/5, 44
Solve -f**4/4 - 21*f**3/4 + 553*f**2 - 5115*f = 0 for f.
-62, 0, 11, 30
Factor -v**2/3 + 51107*v/3.
-v*(v - 51107)/3
Let -3*z**4/5 - 42969*z**3/5 + 214911*z**2/5 - 128979*z/5 - 386856/5 = 0. What is z?
-14328, -1, 3
Factor 25*k**3/3 + 611*k**2/3 + 1026*k + 1080.
(k + 5)*(k + 18)*(25*k + 36)/3
Factor 4*l**4 - 988*l**3 - 17568*l**2 - 100656*l - 190080.
4*(l - 264)*(l + 5)*(l + 6)**2
Determine c so that 2*c**5/3 + 1576*c**4/3 - 2110*c**3 + 1584*c**2 = 0.
-792, 0, 1, 3
Suppose 2*r**5/9 - 1094*r**4/9 + 95774*r**3/9 + 15773006*r**2/9 + 31254304*r/9 + 15578168/9 = 0. What is r?
-79, -1, 314
Factor -5*j**2 + 75790*j - 287206205.