 2
Solve 3*m**3/4 - 2001*m**2/2 - 20235*m - 101550 = 0 for m.
-10, 1354
Factor -5*j**2 - 14865*j - 29710.
-5*(j + 2)*(j + 2971)
Factor -25*a**3 + 99520*a**2 - 99082100*a + 79202000.
-5*(a - 1990)**2*(5*a - 4)
Solve -k**3/2 - 173*k**2/2 - 1040*k = 0 for k.
-160, -13, 0
Solve 3*m**3 - 7098*m**2 + 35433*m - 42498 = 0 for m.
2, 3, 2361
Factor 2*h**2/5 - 15628*h + 152646490.
2*(h - 19535)**2/5
Let -3*r**3 - 4263*r**2 - 21198*r + 59472 = 0. Calculate r.
-1416, -7, 2
Solve -23*q**5 + 461*q**4/2 - 212*q**3 + 9*q**2/2 = 0.
0, 1/46, 1, 9
Factor 27*a**3 - 1707*a**2 + 6750*a - 1416.
3*(a - 59)*(a - 4)*(9*a - 2)
Factor -3*p**2 - 882*p + 3576.
-3*(p - 4)*(p + 298)
Determine v so that 4*v**5/3 - 12*v**4 - 20*v**3/3 + 204*v**2 - 560*v/3 = 0.
-4, 0, 1, 5, 7
Factor 5*a**2 + 4065*a + 204930.
5*(a + 54)*(a + 759)
Determine l, given that 3*l**2 + 51321*l + 51318 = 0.
-17106, -1
Factor g**2/5 - 48*g + 1631/5.
(g - 233)*(g - 7)/5
Suppose 2575*t**2 + 51315*t - 3700 = 0. What is t?
-20, 37/515
Factor -5*g**2 - 4905*g.
-5*g*(g + 981)
Determine d so that 2*d**4/7 - 30414*d**3/7 + 425342*d**2/7 + 134562*d + 486176/7 = 0.
-1, 16, 15193
Let -p**5/3 + 65*p**4 - 713*p**3/3 - 3265*p**2 + 3438*p = 0. Calculate p.
-6, 0, 1, 9, 191
Factor -3*u**2 - 1341*u + 13710.
-3*(u - 10)*(u + 457)
Factor 4*d**2/5 + 918256*d/5 + 52699630096/5.
4*(d + 114782)**2/5
What is u in u**2 + 30824*u + 237529744 = 0?
-15412
Find m, given that 5*m**3/2 - 4541*m**2 + 12707*m/2 - 1815 = 0.
2/5, 1, 1815
Let -3*i**2/4 + 6177*i/4 - 205491 = 0. What is i?
143, 1916
Let 5*m**5 + 680*m**4 - 12630*m**3 + 56860*m**2 - 78575*m + 33660 = 0. Calculate m.
-153, 1, 4, 11
Solve 44*w**2 + 4008*w + 364 = 0 for w.
-91, -1/11
Solve -5*f**3 - 325*f**2 + 47590*f - 93840 = 0.
-136, 2, 69
Factor 5*m**3 + 1090*m**2 - 55220*m + 634040.
5*(m - 22)**2*(m + 262)
Suppose -j**2/2 - 45*j/2 + 243 = 0. Calculate j.
-54, 9
Factor 2*k**2 + 16830*k - 117908.
2*(k - 7)*(k + 8422)
Let -5*t**2 + 11455*t + 80430 = 0. Calculate t.
-7, 2298
Let 3*h**2/2 - 8319*h - 49941/2 = 0. What is h?
-3, 5549
Suppose 2*j**4/3 + 290*j**3 + 88000*j**2/3 = 0. Calculate j.
-275, -160, 0
Suppose -5*p**3/3 + 115820*p**2/3 - 926320*p/3 + 1852480/3 = 0. Calculate p.
4, 23156
Factor -35*h**2 + 8970*h - 11475.
-5*(h - 255)*(7*h - 9)
Factor 3*d**3 - 7383*d**2.
3*d**2*(d - 2461)
Let d**4/4 + 7*d**3/4 - 23*d**2/4 - 255*d/4 - 225/2 = 0. What is d?
-5, -3, 6
Solve b**5/4 - b**4/2 - 93*b**3/4 + 137*b**2/2 + b - 90 = 0.
-10, -1, 2, 9
Factor 4*t**2/5 - 4546*t/5 + 2272/5.
2*(t - 1136)*(2*t - 1)/5
Determine d so that 5*d**3 + 5860*d**2 + 17535*d = 0.
-1169, -3, 0
Factor -128*a**2 + 3768*a - 221841/8.
-(32*a - 471)**2/8
Solve -338*j**5 - 2782*j**4 + 75454*j**3 + 105726*j**2 - 284508*j - 402192 = 0 for j.
-19, -21/13, 2, 12
Factor -7*i**3/2 - 9609*i**2 - 13184919*i/2 + 3770258.
-(i + 1373)**2*(7*i - 4)/2
Determine f so that -f**2 - 237*f + 60214 = 0.
-391, 154
What is t in t**2/7 - 464*t/7 + 12615/7 = 0?
29, 435
Let -2*c**2/9 + 1018976*c/9 - 129789011072/9 = 0. What is c?
254744
Solve -2*k**2/3 + 7094*k + 149072/3 = 0.
-7, 10648
Find k, given that -19*k**3 + 5527*k**2 - 10400*k - 1156 = 0.
-2/19, 2, 289
Solve 2*r**3/3 - 29980*r**2/3 + 59954*r/3 - 9992 = 0.
1, 14988
Determine z so that -35*z**5 + 360*z**4 - 1455*z**3 + 2890*z**2 - 2820*z + 1080 = 0.
9/7, 2, 3
Factor 3*s**5/5 - 24*s**4/5 + 63*s**3/5 - 54*s**2/5.
3*s**2*(s - 3)**2*(s - 2)/5
Factor -s**4 + 298876*s**3 + 298877*s**2.
-s**2*(s - 298877)*(s + 1)
Factor 224*t**3/3 - 272*t**2/3 + 94*t/3 - 10/3.
2*(4*t - 1)**2*(7*t - 5)/3
Solve 53000*f**3/9 - 243820*f**2/9 + 127292*f/9 - 16/3 = 0 for f.
1/2650, 3/5, 4
What is x in -4*x**2 - 57380*x + 114776 = 0?
-14347, 2
Factor 2*v**3 - 9874*v**2 + 12152352*v + 85550976.
2*(v - 2472)**2*(v + 7)
What is j in -2*j**4/9 - 10*j**3/9 + 236*j**2/3 - 2648*j/9 + 2576/9 = 0?
-23, 2, 14
Factor 3*v**2/4 - 327*v/4 - 3915.
3*(v - 145)*(v + 36)/4
Determine c so that 2*c**2/3 + 50344*c/3 = 0.
-25172, 0
Factor -2*w**4/11 - 12874*w**3/11 - 38604*w**2/11.
-2*w**2*(w + 3)*(w + 6434)/11
Determine f so that 2*f**3/3 - 14984*f**2/3 + 28080010*f/3 - 56100100/3 = 0.
2, 3745
Determine r so that -4*r**2/5 + 5032*r/5 - 5028/5 = 0.
1, 1257
Factor 5*d**3 - 5*d**2 - 3000*d.
5*d*(d - 25)*(d + 24)
Solve -3*s**5/7 + 10830*s**4/7 - 9752394*s**3/7 - 39128784*s**2/7 - 48957051*s/7 - 19591494/7 = 0 for s.
-2, -1, 1807
Factor -g**4/3 - 796*g**3 - 472818*g**2 + 2858436*g - 4298427.
-(g - 3)**2*(g + 1197)**2/3
What is l in 6*l**3 - 861315*l**2 + 1291962*l - 430653 = 0?
1/2, 1, 143551
Determine c so that -c**3/8 + 55*c**2/8 + 11534*c + 2315411/2 = 0.
-158, 371
Suppose 4*y**4/7 + 232*y**3 - 23292*y**2/7 + 95472*y/7 - 17280 = 0. Calculate y.
-420, 3, 8
Determine b, given that -5*b**3 - 395*b**2 - 8475*b - 55125 = 0.
-49, -15
Factor -r**3/6 - 1789*r**2/3 - 1071595*r/2 - 4248300.
-(r + 8)*(r + 1785)**2/6
Determine k, given that k**3/4 + 91*k**2/4 + 1219*k/4 - 42135/4 = 0.
-53, 15
Solve -2*h**4/11 + 16138*h**3/11 + 16172*h**2/11 - 23480*h + 322800/11 = 0 for h.
-5, 2, 8070
Let s**4/4 - 44*s**3 + 9253*s**2/4 - 80067*s/2 + 219024 = 0. What is s?
13, 54, 96
Suppose l**5/7 - 137*l**4/7 + 1037*l**3/7 - 631*l**2/7 - 258*l = 0. Calculate l.
-1, 0, 2, 7, 129
Factor -8539*w**2/7 - 153704*w/7 - 36/7.
-(w + 18)*(8539*w + 2)/7
Factor -1626*o**2/19 - 1012*o/19 + 48/19.
-2*(3*o + 2)*(271*o - 12)/19
Factor 2*w**2/7 - 149294*w/7 + 149292/7.
2*(w - 74646)*(w - 1)/7
Find i, given that -2*i**3 + 22018*i**2 - 614990*i + 592974 = 0.
1, 27, 10981
Factor a**2/4 + 48075*a/2 + 2311205625/4.
(a + 48075)**2/4
Factor -2*w**2/11 - 70*w/11 + 492/11.
-2*(w - 6)*(w + 41)/11
Let -2*a**3/3 - 50*a**2 + 2454*a - 23310 = 0. Calculate a.
-111, 15, 21
Determine p so that -6*p**5 - 435*p**4/4 - 921*p**3/4 + 2955*p**2/4 - 1575*p/4 = 0.
-15, -5, 0, 7/8, 1
Factor 2*w**2/9 + 13608*w + 208324872.
2*(w + 30618)**2/9
Suppose -2*l**4 - 7208*l**3 - 6377606*l**2 + 211302504*l - 204917688 = 0. What is l?
-1818, 1, 31
Factor -3*m**2 + 282582*m - 282579.
-3*(m - 94193)*(m - 1)
Determine t, given that 2*t**4 + 470*t**3 + 32194*t**2 + 710794*t + 1296540 = 0.
-135, -49, -2
Suppose 212*x**4 - 42204*x**3 + 45160*x**2 - 3168*x = 0. What is x?
0, 4/53, 1, 198
Factor -3*w**4/5 - 609*w**3 - 33132*w**2/5.
-3*w**2*(w + 11)*(w + 1004)/5
Solve -2*b**3/7 + 94*b**2/7 + 23144*b/7 + 23048/7 = 0.
-86, -1, 134
Factor -2*r**4 + 8*r**3 + 180*r**2 + 648*r + 702.
-2*(r - 13)*(r + 3)**3
Let -y**3/6 + 37*y**2/6 - 220*y/3 + 832/3 = 0. Calculate y.
8, 13, 16
Solve g**2/7 + 241700*g + 102233057500 = 0.
-845950
Factor -2*h**2 - 4240*h - 2247200.
-2*(h + 1060)**2
Let -11*g**5/4 - 13976*g**4 - 70809695*g**3/4 + 278104859*g**2/2 - 259121720*g - 51816200 = 0. What is g?
-2545, -2/11, 4
Factor 3*a**3/5 - 573*a**2/5 + 4938*a/5 - 4368/5.
3*(a - 182)*(a - 8)*(a - 1)/5
Determine n, given that 2*n**3 + 18938*n**2 + 37870*n + 18934 = 0.
-9467, -1
Suppose -5*r**3 + 705*r**2 + 2880*r - 2350080 = 0. What is r?
-51, 96
What is q in -44*q**3 + 13720*q**2 - 11188*q - 2488 = 0?
-2/11, 1, 311
Factor -2*d**2/11 + 670700*d/11 - 56229811250/11.
-2*(d - 167675)**2/11
Let -12*g**5/5 - 177*g**4/5 + 12693*g**3/5 + 22758*g**2/5 - 1296*g = 0. Calculate g.
-40, -2, 0, 1/4, 27
Suppose 16*l**5 + 1276*l**4 + 28728*l**3 + 234608*l**2 + 355256*l - 2347884 = 0. Calculate l.
-49, -11, 9/4
Suppose -147*k**5/5 + 206766*k**4/5 - 531039*k**3/5 + 459216*k**2/5 - 151644*k/5 + 16848/5 = 0. Calculate k.
2/7, 1, 1404
What is b in b**4/8 - 3499*b**3 + 24486002*b**2 = 0?
0, 13996
Factor 5*n**3 - 18330*n**2 + 128065*n.
5*n*(n - 3659)*(n - 7)
Factor 2*l**2 + 32476*l + 32474.
2*(l + 1)*(l + 16237)
Suppose -79*g**2/5 + 236*g/5 = 0. What is g?
0, 236/79
Factor -3*a**3/5 + 39*a**2 + 450*a.
-3*a*(a - 75)*(a + 10)/5
Let -x**5 - 1095*x**4 - 320367*x**3 - 11294281*x**2 - 111616032*x - 100641024 = 0. Calculate x.
-528, -19, -1
Factor 2*w**2/11 + 1800916*w/11 + 405412304882/11.
2*(w + 450229)**2/11
Solve -2*k**3/17 + 2086*k**2/17 - 542880*k/17 - 544968/17 = 0 for k.
-1, 522
Suppose 5*p**5 - 905*p**4 + 11910*p**3 - 36940*p**2 + 33400*p = 0. What is p?
0, 2, 10, 167
Factor 4*f**3 + 64*f**2 + 244*f + 264.
4*(f + 2)*(f + 3)*(f + 11)
Determine h, given that 2*h**5/3 - 3552*h**4 + 18871408*h**3/3 - 11012685268*h**2/3 - 56708318758*h + 384149852788/3 = 0.
-17, 2, 1781
Fact