**2/7
Suppose -3*p**3/2 - 153*p**2/2 + 12411*p/2 - 12255/2 = 0. Calculate p.
-95, 1, 43
Determine f, given that -2*f**5 - 2386*f**4 - 710414*f**3 + 731898*f**2 + 5673888*f - 8553816 = 0.
-597, -3, 2
Find g such that -4*g**3 - 856*g**2 - 17572*g = 0.
-191, -23, 0
Solve -2*r**3/15 - 7096*r**2/15 - 63718*r/15 - 56624/15 = 0 for r.
-3539, -8, -1
Solve -5*u**4 - 83705*u**3 - 467129700*u**2 - 869172606000*u - 868705560000 = 0.
-5580, -1
What is w in 11*w**2/2 - 61*w/4 - 83/4 = 0?
-1, 83/22
Solve 2*t**2/3 - 10960*t/3 = 0 for t.
0, 5480
Factor 335*q**3 - 955*q**2 - 150*q.
5*q*(q - 3)*(67*q + 10)
Factor -q**4 - 513*q**3 - 3553*q**2 - 5571*q - 2530.
-(q + 1)**2*(q + 5)*(q + 506)
Find l such that l**4/3 + 31*l**3/3 + 50*l**2/3 - 232*l/3 = 0.
-29, -4, 0, 2
Factor 3*z**2 - 42915*z - 128772.
3*(z - 14308)*(z + 3)
Factor -505*a**3 - 3040*a**2 - 2585*a - 50.
-5*(a + 1)*(a + 5)*(101*a + 2)
Factor -2*n**3/3 + 4*n**2/3 + 586*n/3 + 380.
-2*(n - 19)*(n + 2)*(n + 15)/3
Factor -k**4/5 - 88001*k**3/5 - 1935911992*k**2/5 + 5808528012*k/5.
-k*(k - 3)*(k + 44002)**2/5
Suppose -5*a**3 - 36945*a**2 - 73875*a - 36935 = 0. Calculate a.
-7387, -1
Factor 676*n**3 - 37440*n**2 + 186900*n - 245000.
4*(n - 50)*(13*n - 35)**2
Factor -w**4/2 + 42997*w**3/2 - 461905895*w**2/2 - 6012045325*w/2.
-w*(w - 21505)**2*(w + 13)/2
Suppose 2*t**4 - 192842*t**3 = 0. Calculate t.
0, 96421
Factor -443682*m**3/5 - 1508142*m**2 + 32026*m/5 - 34/5.
-2*(m + 17)*(471*m - 1)**2/5
Solve n**3 + 26023*n**2 + 182112*n = 0.
-26016, -7, 0
Determine o, given that -3*o**2 + 40162*o - 13387 = 0.
1/3, 13387
Solve 2*n**4/3 - 116*n**3/3 + 1726*n**2/3 - 7996*n/3 + 2128 = 0 for n.
1, 7, 12, 38
What is k in -5*k**3 - 3695*k**2 - 152675*k + 156375 = 0?
-695, -45, 1
Let 5*r**3 + 44830*r**2 + 358400*r + 716640 = 0. Calculate r.
-8958, -4
Factor a**2 - 1413*a.
a*(a - 1413)
Factor 3*s**3/2 + 351*s**2/2 - 5256*s + 9798.
3*(s - 23)*(s - 2)*(s + 142)/2
Factor 5*r**4 + 111870*r**3 + 223720*r**2.
5*r**2*(r + 2)*(r + 22372)
Suppose c**2 + 48662*c - 340683 = 0. Calculate c.
-48669, 7
Let 102625*q**4/3 + 40675*q**3/3 + 3955*q**2/3 - 5*q = 0. Calculate q.
-1/5, 0, 3/821
Find d such that -2*d**2 - 248970*d - 248968 = 0.
-124484, -1
Suppose -12*n**4 - 29642*n**3 - 64168*n**2 = 0. What is n?
-2468, -13/6, 0
Let 35*f**5 - 99*f**4 + f**3 + 99*f**2 - 36*f = 0. Calculate f.
-1, 0, 3/7, 1, 12/5
Let 3*z**4/2 - 9*z**3/4 - 219*z**2/4 - 99*z/4 + 105/4 = 0. Calculate z.
-5, -1, 1/2, 7
Suppose -58*d**4/3 - 248*d**3/3 + 12*d**2 + 216*d - 126 = 0. What is d?
-3, 21/29, 1
Factor 2*o**3 - 396*o**2 - 8720*o.
2*o*(o - 218)*(o + 20)
Determine i, given that 3*i**2/2 + 3336*i + 19962 = 0.
-2218, -6
Find n, given that n**3 - 32*n**2 + 99*n + 972 = 0.
-4, 9, 27
Factor -3*q**3/4 - 4071*q**2/4 + 4077*q/2.
-3*q*(q - 2)*(q + 1359)/4
Factor 4*b**4 - 1712*b**3 + 186476*b**2 - 683488*b - 3775296.
4*(b - 212)**2*(b - 7)*(b + 3)
Factor 2*j**4/7 - 4140*j**3/7 + 2163050*j**2/7 - 21321000*j/7 + 53045000/7.
2*(j - 1030)**2*(j - 5)**2/7
Factor -d**4 - 5*d**3 - 9*d**2 - 7*d - 2.
-(d + 1)**3*(d + 2)
Let -38*u**4/9 - 1031*u**3/9 - 2515*u**2/3 - 7397*u/9 - 845/9 = 0. What is u?
-13, -1, -5/38
Find t, given that -2*t**4 - 128012*t**3 - 2049919586*t**2 - 49142782704*t - 294746135328 = 0.
-31991, -12
Find m, given that -4*m**5 - 416*m**4 - 11580*m**3 - 92000*m**2 + 104000*m = 0.
-65, -20, 0, 1
Let -54*z**3 + 9620*z**2 + 54*z - 9620 = 0. Calculate z.
-1, 1, 4810/27
Let -j**2/3 - 1694*j/3 + 3400 = 0. Calculate j.
-1700, 6
What is r in 3*r**2/7 - 801030*r/7 + 53470755075/7 = 0?
133505
Factor 134*o**2 - 3520*o + 936.
2*(o - 26)*(67*o - 18)
Factor 2*m**3/5 - 48*m**2/5 - 504*m + 12960.
2*(m - 30)**2*(m + 36)/5
Find w, given that 3*w**2/5 + 3534*w + 5203815 = 0.
-2945
What is l in -4*l**5 - 32*l**4 + 504*l**3 - 1712*l**2 + 2060*l - 816 = 0?
-17, 1, 3, 4
What is v in v**3 + 802*v**2 + 5575*v + 7950 = 0?
-795, -5, -2
Find v such that -2*v**4 - 504*v**3 - 10942*v**2 + 504*v + 10944 = 0.
-228, -24, -1, 1
Solve -r**4/2 - 124*r**3 - 2861*r**2/2 - 3431*r - 2124 = 0.
-236, -9, -2, -1
Factor b**2/3 - 257*b + 12818/3.
(b - 754)*(b - 17)/3
Suppose 4*q**3 + 23172*q**2 - 1401120*q + 21070800 = 0. What is q?
-5853, 30
Determine i so that -i**5/2 - 8053*i**4/2 + 16109*i**3/2 - 8055*i**2/2 = 0.
-8055, 0, 1
Suppose b**3/4 + 2595*b**2/2 + 396000*b + 31168000 = 0. What is b?
-4870, -160
Suppose 3*c**2 - 1170*c + 56943 = 0. What is c?
57, 333
Factor k**2/5 - 20082*k/5 + 100821681/5.
(k - 10041)**2/5
Solve -27*g**4 - 801*g**3 + 7467*g**2 + 5241*g + 888 = 0.
-37, -1/3, 8
Suppose 2*v**5 - 28106*v**4 + 98729350*v**3 + 98757458*v**2 = 0. What is v?
-1, 0, 7027
Factor -3*l**3 + 3903669*l**2 - 1269887923629*l + 1269884019963.
-3*(l - 650611)**2*(l - 1)
Determine q so that -3*q**5/5 - 183*q**4/5 - 2337*q**3/5 - 8097*q**2/5 - 1188*q = 0.
-45, -11, -4, -1, 0
Determine o so that -o**5/2 - 543*o**4 + 1632*o**3 - 1633*o**2 + 1089*o/2 = 0.
-1089, 0, 1
Factor 5*q**2 - 18975*q - 114030.
5*(q - 3801)*(q + 6)
Solve 3*j**5 - 18*j**4 - 348*j**3 + 72*j**2 + 1344*j = 0 for j.
-8, -2, 0, 2, 14
Suppose k**4/3 - 50*k**3/3 - 71*k**2 - 54*k = 0. Calculate k.
-3, -1, 0, 54
Factor 3*n**2 - 678*n + 4599.
3*(n - 219)*(n - 7)
Factor u**4/3 - 144*u**3 - 433*u**2/3.
u**2*(u - 433)*(u + 1)/3
Find f, given that -2*f**4/5 + 12586*f**3/5 - 3958926*f**2 - 19807218*f/5 = 0.
-1, 0, 3147
Let 2*f**3/3 - 818*f**2/3 + 272*f = 0. What is f?
0, 1, 408
Factor -88472048*c**4/11 + 28600712*c**3/11 - 2995860*c**2/11 + 129350*c/11 - 2000/11.
-2*(47*c - 8)*(98*c - 5)**3/11
Determine o so that 5043*o**4 - 34809*o**3 - 497646*o**2 - 48300*o - 1176 = 0.
-7, -2/41, 14
Let 2*i**2 - 180*i + 2002 = 0. What is i?
13, 77
Let 2*h**2/5 + 88502*h/5 = 0. What is h?
-44251, 0
Factor -3*q**4 + 471*q**2 + 468*q.
-3*q*(q - 13)*(q + 1)*(q + 12)
Suppose 2*t**3 - 1614*t**2 + 331200*t - 2240000 = 0. What is t?
7, 400
Factor k**3/7 + 5*k**2/7 + 6*k/7.
k*(k + 2)*(k + 3)/7
Find m such that m**2/7 + 17400*m/7 + 75690000/7 = 0.
-8700
Determine i so that 3*i**5 - 57*i**4 + 381*i**3 - 1179*i**2 + 1728*i - 972 = 0.
2, 3, 9
Find q such that -q**2 - 379*q - 6154 = 0.
-362, -17
Solve -1580642*j**4/5 - 23702518*j**3/5 - 85247996*j**2/5 + 383928*j/5 - 432/5 = 0 for j.
-9, -6, 2/889
Factor -f**2 - 857*f - 6792.
-(f + 8)*(f + 849)
Factor 3*z**2 + 55350*z + 255301875.
3*(z + 9225)**2
Factor 2*s**3/7 - 10680*s**2/7 + 2035302*s + 28536964/7.
2*(s - 2671)**2*(s + 2)/7
Factor -2*n**2/9 + 250*n - 4492/9.
-2*(n - 1123)*(n - 2)/9
Factor 3*p**4 + 90*p**3 - 108*p**2 - 474*p - 279.
3*(p - 3)*(p + 1)**2*(p + 31)
Factor -h**2/2 - 1229*h + 22203/2.
-(h - 9)*(h + 2467)/2
Let f**4/6 + 47*f**3/2 - 2*f**2 - 838*f/3 + 376 = 0. What is f?
-141, -4, 2
Determine n so that 16*n**5 - 2580*n**4 - 4568*n**3 + 624*n**2 + 4552*n + 1956 = 0.
-1, -3/4, 1, 163
Suppose -2*z**3/7 + 88*z**2/7 - 474*z/7 + 684/7 = 0. What is z?
3, 38
Factor -2*q**2/17 + 834*q/17 + 287168/17.
-2*(q - 641)*(q + 224)/17
Suppose 338*q**4/9 + 7100*q**3/9 - 5056*q**2/3 + 7684*q/9 + 46/9 = 0. Calculate q.
-23, -1/169, 1
Factor f**2/5 - 9306*f/5 + 21650409/5.
(f - 4653)**2/5
Let 27*w**3/7 - 2874*w**2/7 - 26823*w/7 + 29670/7 = 0. What is w?
-86/9, 1, 115
Solve x**2/2 + 8*x + 24 = 0.
-12, -4
Let m**3/8 + 323*m**2/4 - 1965*m/2 + 2961 = 0. What is m?
-658, 6
Determine x so that -2*x**3 + 5712*x**2/5 + 4578*x/5 - 1144/5 = 0.
-1, 1/5, 572
Suppose 2*a**3/13 - 329470*a**2/13 + 658934*a/13 - 329466/13 = 0. Calculate a.
1, 164733
Factor -2*x**2/3 - 250*x/3 + 3996.
-2*(x - 37)*(x + 162)/3
Determine u so that 2*u**4 - 708*u**3 - 13176*u**2 - 79920*u - 160704 = 0.
-6, 372
Factor -4*w**3/5 + 182492*w**2/5 + 547512*w/5.
-4*w*(w - 45626)*(w + 3)/5
Factor -o**3/6 + 4195*o**2/6 - 2096*o/3 - 1398.
-(o - 4194)*(o - 2)*(o + 1)/6
Factor 4*m**2/7 + 436*m/7 - 440/7.
4*(m - 1)*(m + 110)/7
Determine q, given that 3*q**5/7 - 39*q**4/7 - 423*q**3/7 + 891*q**2/7 + 1620*q + 18468/7 = 0.
-6, -3, 6, 19
Factor -407044*p**4 - 5289020*p**3 + 33172*p**2 - 52*p.
-4*p*(p + 13)*(319*p - 1)**2
What is p in p**3/6 - 1626*p**2 + 9750*p = 0?
0, 6, 9750
Suppose -8*d**5 + 1526*d**4 - 9866*d**3 - 12934*d**2 + 9874*d + 11408 = 0. What is d?
-1, 1, 31/4, 184
Solve 3*c**5/4 - 29*c**4/4 - 499*c**3/4 - 619*c**2/4 - 38*c = 0.
-8, -1, -1/3, 0, 19
Solve 3*w**3/4 + 1989*w**2/4 + 81162*w - 418335 