 that 2*m**3/11 + 28*m**2/11 - 3264*m/11 = 0.
-48, 0, 34
Suppose 2*a**2 + 1026*a - 98936 = 0. What is a?
-596, 83
Determine p so that -2*p**5/7 - 32*p**4/7 + 150*p**3/7 - 28*p**2 + 80*p/7 = 0.
-20, 0, 1, 2
Suppose -5*x**5 + 35*x**4 - 50*x**3 - 100*x**2 + 280*x - 160 = 0. What is x?
-2, 1, 2, 4
Factor j**4/5 + 3814*j**3/5 + 728092*j**2 + 7265672*j/5.
j*(j + 2)*(j + 1906)**2/5
What is w in w**4 + 3410*w**3 + 23832*w**2 + 37438*w + 17015 = 0?
-3403, -5, -1
Let 2*q**2/21 + 988*q/21 + 986/21 = 0. What is q?
-493, -1
Factor -o**3/3 + 11798*o**2/3 + 23599*o/3 + 11800/3.
-(o - 11800)*(o + 1)**2/3
Factor l**2/4 - 173*l/4 + 1233.
(l - 137)*(l - 36)/4
Suppose 2*h**5 - 456*h**4 + 30460*h**3 - 503240*h**2 + 1842258*h + 2376416 = 0. Calculate h.
-1, 7, 16, 103
Solve -8*l**4 + 5246*l**3 - 859360*l**2 - 215168*l = 0.
-1/4, 0, 328
Solve -5*k**4/3 - 36163*k**3/3 - 57844*k**2/3 + 28924*k/3 = 0.
-7231, -2, 0, 2/5
Find b such that 4*b**5 + 824*b**4 - 5900*b**3 + 13584*b**2 - 10224*b = 0.
-213, 0, 2, 3
Determine m, given that -2*m**5 - 504*m**4 - 27868*m**3 + 511816*m**2 + 1105230*m + 566048 = 0.
-133, -1, 16
Factor 5*r**5 + 30*r**4 + 40*r**3 - 10*r**2 - 45*r - 20.
5*(r - 1)*(r + 1)**3*(r + 4)
Determine o, given that 5*o**2 + 1535*o - 408690 = 0.
-478, 171
Find z, given that 85*z**5/2 - 925*z**4 + 4105*z**3 + 5500*z**2 - 66375*z/2 - 39375 = 0.
-2, -21/17, 5, 15
Factor -2*r**2 + 22422*r.
-2*r*(r - 11211)
Suppose 2*z**2/9 - 6200*z/9 - 4136/3 = 0. What is z?
-2, 3102
What is w in 16*w**4 - 5348*w**3 - 15104*w**2 + 93012*w = 0?
-23/4, 0, 3, 337
Suppose 2187*t**4/8 - 405*t**3/8 - 27663*t**2/8 - 21747*t/8 - 1089/2 = 0. What is t?
-3, -11/27, 4
Factor -3*a**2 + 7018578*a - 4105036428507.
-3*(a - 1169763)**2
Determine q, given that -4*q**2 + 1136*q + 4608 = 0.
-4, 288
Find g, given that -g**2 - 873*g + 95158 = 0.
-971, 98
Factor m**3 - 118971*m**2 + 713799*m - 1070685.
(m - 118965)*(m - 3)**2
Factor -5745*t**2 + 2568*t - 108.
-3*(5*t - 2)*(383*t - 18)
Factor 2*o**3/13 + 167412*o**2/13 - 334830*o/13 + 167416/13.
2*(o - 1)**2*(o + 83708)/13
Suppose 10*o**3 + 376458*o**2 - 75292*o = 0. Calculate o.
-37646, 0, 1/5
Factor -h**3/2 + 73*h**2 - 2645*h/2 + 1250.
-(h - 125)*(h - 20)*(h - 1)/2
Find n, given that n**4 + 1512*n**3 - 1513*n**2 = 0.
-1513, 0, 1
Let -2*j**3/21 + 1094*j**2/21 + 1088594*j/21 + 175135498/21 = 0. What is j?
-281, 1109
What is t in -2*t**5 - 60*t**4 - 54*t**3 + 5876*t**2 - 20160*t + 14400 = 0?
-20, 1, 3, 6
Solve 15*x**3 - 55280*x**2 + 51078400*x - 270848000 = 0 for x.
16/3, 1840
Factor -4*v**3/9 - 11368*v**2/9 - 22720*v/9.
-4*v*(v + 2)*(v + 2840)/9
Solve -20*z**2 + 62788*z - 25112 = 0 for z.
2/5, 3139
Factor v**3/4 + 1413*v**2/4 + 127050*v + 1592500.
(v + 13)*(v + 700)**2/4
Let 3*y**5 - 207*y**4 + 1485*y**3 - 1281*y**2 = 0. What is y?
0, 1, 7, 61
Solve o**2 - 5239*o + 5238 = 0.
1, 5238
Factor 2*a**2/15 - 5486*a/3 + 82236/5.
2*(a - 13706)*(a - 9)/15
Factor 3*d**3 - 30*d**2 - 471*d - 798.
3*(d - 19)*(d + 2)*(d + 7)
Factor -m**3 + 446*m**2 - 48364*m - 306456.
-(m - 226)**2*(m + 6)
Suppose 8820*j**5 - 245112*j**4 - 52336*j**3 + 16608*j**2 - 896*j = 0. Calculate j.
-2/5, 0, 2/21, 28
Find v, given that v**4/6 + 879*v**3/2 + 1315*v**2/3 - 2636*v = 0.
-2636, -3, 0, 2
Suppose -2*y**2/7 + 7576*y/7 + 22746/7 = 0. Calculate y.
-3, 3791
Solve -2*a**3/13 - 217712*a**2/13 - 5925249768*a/13 - 23697515808/13 = 0 for a.
-54426, -4
Suppose 95*k**2 + 5465*k + 2850 = 0. Calculate k.
-57, -10/19
Factor -253009*i**4/4 - 253512*i**3 - 255022*i**2 - 2016*i - 4.
-(i + 2)**2*(503*i + 2)**2/4
Factor 3*i**3/7 - 12066*i**2/7 + 1736637*i - 6918996.
3*(i - 2009)**2*(i - 4)/7
Factor -b**2/2 - 334*b - 9570.
-(b + 30)*(b + 638)/2
Find j, given that 8*j**5/3 + 2618*j**4/3 - 4618*j**3/3 - 3934*j**2/3 + 4610*j/3 + 1316/3 = 0.
-329, -1, -1/4, 1, 2
Determine x so that -x**2 - 3840*x - 53564 = 0.
-3826, -14
Suppose j**5/5 + 84*j**4/5 + 2052*j**3/5 + 15552*j**2/5 = 0. What is j?
-48, -18, 0
Suppose 204*b**5 + 13881*b**4 + 236232*b**3 - 3477*b**2 - 236436*b - 10404 = 0. What is b?
-34, -1, -3/68, 1
Factor -g**2 - 12846*g - 25688.
-(g + 2)*(g + 12844)
Find y, given that -2*y**5/5 + 62*y**4/5 + 62*y**3 - 1014*y**2/5 - 252*y = 0.
-6, -1, 0, 3, 35
Find b, given that 4*b**4 - 1340*b**3 + 112892*b**2 - 111556*b = 0.
0, 1, 167
Factor -3*n**3/7 - 8031*n**2/7 - 5465913*n/7 - 121504101/7.
-3*(n + 23)*(n + 1327)**2/7
Factor -2*k**2/3 - 945350*k/3.
-2*k*(k + 472675)/3
Solve b**5/3 + 143*b**4/3 + 136*b**3/3 - 856*b**2/3 - 560*b/3 + 1136/3 = 0.
-142, -2, 1, 2
Factor 4*v**4 + 628*v**3 - 1920*v**2 + 16*v + 2560.
4*(v - 2)**2*(v + 1)*(v + 160)
Factor 3*o**2/2 + 37338*o + 74673/2.
3*(o + 1)*(o + 24891)/2
Suppose 4*p**4 - 19056*p**3 + 38096*p**2 = 0. Calculate p.
0, 2, 4762
Find i, given that i**5/6 + 1315*i**4/6 - 17469*i**3/2 + 539885*i**2/6 - 244397*i/3 = 0.
-1354, 0, 1, 19
Factor 3*g**2 + 698598*g + 40669930467.
3*(g + 116433)**2
Determine d so that 2*d**2/9 - 191386*d/9 - 63796/3 = 0.
-1, 95694
Factor 828*p**2/5 - 987*p - 198/5.
3*(p - 6)*(276*p + 11)/5
What is p in 2*p**2 - 246*p + 6160 = 0?
35, 88
Factor -2*r**3 + 389132*r**2 - 778258*r + 389128.
-2*(r - 194564)*(r - 1)**2
Solve -4*p**3/7 + 101168*p**2/7 - 639685264*p/7 = 0 for p.
0, 12646
What is g in -726*g**2 + 1819*g - 10 = 0?
2/363, 5/2
Suppose -2*a**2 - 51318*a + 102644 = 0. What is a?
-25661, 2
Find y, given that y**3/3 - 209*y**2/3 + 415*y/3 - 69 = 0.
1, 207
Factor w**2/4 + 159*w/4 - 495/2.
(w - 6)*(w + 165)/4
Factor 3*k**3/4 - 615*k**2/4 - 1791*k + 1944.
3*(k - 216)*(k - 1)*(k + 12)/4
Factor 3*g**2 + 5010*g + 2091675.
3*(g + 835)**2
Let -p**4 - 345*p**3 + 20817*p**2 + 11162281*p = 0. Calculate p.
-257, 0, 169
Find p, given that -5*p**5 + 120*p**4 + 5680*p**3 - 12330*p**2 - 28715*p + 35250 = 0.
-25, -2, 1, 3, 47
Find z such that -z**2 + 873*z + 2628 = 0.
-3, 876
Determine a, given that a**2/8 + 12131*a/8 + 6065/4 = 0.
-12130, -1
Let -75*i**3 + 69085*i**2 - 9210*i = 0. What is i?
0, 2/15, 921
Solve -2*p**3 + 414*p**2 + 236546*p + 236130 = 0.
-255, -1, 463
Solve -28*p**5/5 - 3919*p**4/5 - 11366*p**3/5 + 691*p**2/5 + 822*p/5 = 0 for p.
-137, -3, -1/4, 0, 2/7
Determine v, given that -v**3/8 - 67*v**2/4 - 4577*v/8 - 5819 = 0.
-88, -23
Determine z so that -3*z**4/4 + 5205*z**3/2 - 51993*z**2/4 + 31185*z/2 = 0.
0, 2, 3, 3465
Factor 4*h**3 - 28020*h**2 + 48604428*h + 1634603652.
4*(h - 3519)**2*(h + 33)
Solve 3*t**2 + 909*t + 7938 = 0.
-294, -9
Suppose -2*r**4 - 28*r**3 + 4526*r**2 - 56504*r + 188160 = 0. Calculate r.
-60, 7, 32
Find a such that 5*a**4/7 - 703*a**3/7 + 22633*a**2/7 + 84391*a/7 + 30090/7 = 0.
-3, -2/5, 59, 85
Find y such that -2*y**3 - 246*y**2 + 1530*y + 679150 = 0.
-85, 47
Suppose o**2/3 + 646*o/3 - 649 = 0. Calculate o.
-649, 3
Factor -4*v**3 - 29320*v**2 + 87996*v.
-4*v*(v - 3)*(v + 7333)
Factor -2*h**3/7 - 414*h**2/7 + 32040*h/7.
-2*h*(h - 60)*(h + 267)/7
Factor -a**3/5 + 234*a**2/5 + 911*a - 4788/5.
-(a - 252)*(a - 1)*(a + 19)/5
What is z in 21*z**2/2 + 2451*z - 1404 = 0?
-234, 4/7
Find d, given that 4*d**4 - 4*d**3 - 208*d**2 + 592*d - 384 = 0.
-8, 1, 2, 6
Let -6*y**4 - 8864*y**3/7 - 380*y**2/7 + 8864*y/7 + 422/7 = 0. What is y?
-211, -1, -1/21, 1
Factor 10*w**2/7 + 319576*w/7 - 127832/7.
2*(w + 31958)*(5*w - 2)/7
Factor 58*r**3/9 - 23*r**2/9 - 128*r/9 + 31/3.
(r - 1)**2*(58*r + 93)/9
Find t such that -4*t**5/7 + 4*t**4 + 120*t**3/7 - 488*t**2/7 + 524*t/7 - 180/7 = 0.
-5, 1, 9
Solve 18*n**5 - 1728*n**4 - 34904*n**3 + 36804*n**2 + 3878*n - 4068 = 0 for n.
-18, -1/3, 1/3, 1, 113
Let -5*g**4 - 325*g**3 - 2050*g**2 - 1100*g + 3480 = 0. Calculate g.
-58, -6, -2, 1
Suppose -3*z**5/8 - 3*z**4/4 + 261*z**3/8 - 267*z**2/2 + 174*z - 72 = 0. What is z?
-12, 1, 4
Factor c**2/4 + 165487*c/4 + 82743/2.
(c + 1)*(c + 165486)/4
Factor 3*v**3/2 + 1329*v**2 - 2667*v/2 - 2661.
3*(v - 2)*(v + 1)*(v + 887)/2
Factor -v**4/5 + 3144*v**3/5 - 6284*v**2/5.
-v**2*(v - 3142)*(v - 2)/5
Factor z**2/6 + 299*z/2 + 98746/3.
(z + 388)*(z + 509)/6
Solve -2*g**5/13 - 396*g**4/13 - 3382*g**3/13 + 3780*g**2/13 = 0.
-189, -10, 0, 1
Solve 3*n**3 - 11592*n**2 + 92580*n - 138816 = 0.
2, 6, 3856
Determine o, given that 3*o**2 + 108*o + 729 = 0.
-27, -9
Factor -d**3 - 947*d**2 - 223728*d + 224676.
-(d - 1)*(d + 474)**2
Factor 2*w**2/7 - 8188*w/7 - 66400.
2*(w - 4150)*(w + 56)/7
Fi