-32604, 0
Suppose n**4/4 + 1999*n**3/2 + 11985*n**2/4 - n - 3995 = 0. Calculate n.
-3995, -2, 1
Find o such that -4*o**2 - 2624*o - 2620 = 0.
-655, -1
Factor n**2 + 20423*n.
n*(n + 20423)
Solve -4*t**5 - 1060*t**4 + 3240*t**3 + 6320*t**2 - 29920*t + 25728 = 0 for t.
-268, -3, 2
Determine c so that 3*c**2/2 + 247371*c = 0.
-164914, 0
Let 5*u**3 + 132345*u**2 + 875958435*u + 2626684335 = 0. What is u?
-13233, -3
What is k in -2*k**3 - 458*k**2 - 17540*k + 18000 = 0?
-180, -50, 1
Let 5*p**5/2 - 2803*p**4/2 + 117393*p**3/2 - 1196089*p**2/2 - 931109*p - 272964 = 0. What is p?
-1, -2/5, 23, 516
Factor r**5/3 + 4753*r**4 - 14261*r**3 + 42785*r**2/3 - 4754*r.
r*(r - 1)**3*(r + 14262)/3
Determine y so that y**5/2 + 33*y**4/2 - 1763*y**3 - 5383*y**2 - 10827*y/2 - 3619/2 = 0.
-77, -1, 47
Suppose -s**4 + 84*s**3 + 1026*s**2 + 1796*s + 855 = 0. What is s?
-9, -1, 95
Solve -2*p**5/9 - 136*p**4/3 - 1982*p**3/3 + 13124*p**2/9 - 752*p = 0 for p.
-188, -18, 0, 1
Factor -4*b**2 - 69845*b - 17461.
-(b + 17461)*(4*b + 1)
Let 4*p**4 - 106788*p**3 + 712676412*p**2 + 712783204*p = 0. Calculate p.
-1, 0, 13349
Factor -v**2/10 - 14508*v/5 - 105241032/5.
-(v + 14508)**2/10
Solve k**2 - 248*k + 247 = 0 for k.
1, 247
Let 2*k**2/3 + 101012*k/3 + 1275428018/3 = 0. Calculate k.
-25253
What is q in 4*q**4 + 268*q**3 + 1112*q**2 - 7792*q + 8928 = 0?
-62, -9, 2
Factor 5*k**4 + 2505*k**3 + 420810*k**2 + 24111500*k + 68614440.
5*(k + 3)*(k + 166)**3
Suppose -3*w**5 - 843*w**4 - 53505*w**3 + 800523*w**2 - 3079944*w + 2333772 = 0. What is w?
-147, 1, 6
Factor 2*q**3 - 6*q**2 - 13644*q + 81648.
2*(q - 81)*(q - 6)*(q + 84)
Find n such that -2*n**2/19 - 43156*n/19 - 258864/19 = 0.
-21572, -6
Let 484*s**2 + 2490048*s + 3202654464 = 0. Calculate s.
-28296/11
Suppose -9*q**5 - 240*q**4 + 76893*q**3 + 128640*q**2 + 51516*q = 0. Calculate q.
-106, -1, -2/3, 0, 81
What is t in -4*t**2 + 2764*t - 10992 = 0?
4, 687
Factor 4*s**3 - 17572*s**2 + 1515360*s.
4*s*(s - 4305)*(s - 88)
Let 3*n**4/4 - 5181*n**3 + 8926827*n**2 + 71746584*n = 0. Calculate n.
-8, 0, 3458
Find c, given that -c**4/4 - 10*c**3 + 223*c**2/4 - 49*c/2 - 90 = 0.
-45, -1, 2, 4
Suppose n**4/4 - 97*n**3 + 20759*n**2/2 - 182085*n - 770247/4 = 0. What is n?
-1, 23, 183
Factor -5*k**3 + 670*k**2 - 16725*k + 117000.
-5*(k - 104)*(k - 15)**2
Factor -f**2/2 + 3753*f/2 + 5634.
-(f - 3756)*(f + 3)/2
What is d in 12*d**4 - 284*d**3 - 96*d**2 = 0?
-1/3, 0, 24
Factor 2*w**3/9 - 2054*w**2/9 - 2*w/9 + 2054/9.
2*(w - 1027)*(w - 1)*(w + 1)/9
Solve -5*q**4 + 2205*q**3 - 4370*q**2 - 8820*q + 17560 = 0 for q.
-2, 2, 439
Factor -7*a**3 + 27220*a**2 + 11667*a.
-a*(a - 3889)*(7*a + 3)
Find o such that -o**3/6 + 620*o**2/3 - 125191*o/2 - 917301 = 0.
-14, 627
Solve 5*m**3/3 + 72604*m**2/3 - 14525*m/3 - 58084/3 = 0 for m.
-14521, -4/5, 1
Determine t, given that 2*t**3/17 + 2292*t**2/17 - 11538*t/17 - 32228/17 = 0.
-1151, -2, 7
Factor -460*w**2 - 159164*w - 1384.
-4*(w + 346)*(115*w + 1)
Determine r, given that r**2/2 - 772047*r - 1544095/2 = 0.
-1, 1544095
Find d, given that 5*d**4 + 475*d**3 + 2280*d**2 + 2700*d = 0.
-90, -3, -2, 0
Let 10*m**4/11 + 10304*m**3/11 + 2403600*m**2/11 - 12016768*m - 53257696/11 = 0. Calculate m.
-538, -2/5, 46
Determine d, given that 2*d**2 + 860*d + 10032 = 0.
-418, -12
Find u such that -4*u**3 + 592*u**2 + 11628*u + 53784 = 0.
-9, 166
Factor 2*c**3 + 34190*c**2.
2*c**2*(c + 17095)
Let -2*a**3/19 + 88*a**2/19 - 472*a/19 + 32 = 0. Calculate a.
2, 4, 38
Solve 4*l**5 - 4208*l**4 + 25156*l**3 - 54440*l**2 + 50224*l - 16736 = 0.
1, 2, 1046
Factor -v**5 + 2041*v**4 - 14253*v**3 + 30523*v**2 - 26446*v + 8136.
-(v - 2034)*(v - 4)*(v - 1)**3
Solve i**2/3 + 659*i/3 + 35956 = 0 for i.
-356, -303
Factor w**2 - 2541*w - 5086.
(w - 2543)*(w + 2)
Let -t**3 + 175*t**2 + 3409*t + 12545 = 0. Calculate t.
-13, -5, 193
Let 334*s**2/7 + 6018*s/7 + 108/7 = 0. What is s?
-18, -3/167
Suppose 2*t**2/7 + 39650*t + 277548/7 = 0. Calculate t.
-138774, -1
Suppose 25*f**5 - 6520*f**4 + 446750*f**3 - 2829740*f**2 + 5610225*f - 2903220 = 0. Calculate f.
4/5, 3, 127
Determine c so that -c**5 + 57*c**4 - 391*c**3 - 57*c**2 + 392*c = 0.
-1, 0, 1, 8, 49
What is g in -2*g**2 + 407312*g - 20737883168 = 0?
101828
Suppose 3*t**5 + 3063*t**4 + 764829*t**3 - 8665839*t**2 + 31012632*t - 35944560 = 0. Calculate t.
-516, 3, 5
Suppose f**2 + 854*f + 10104 = 0. What is f?
-842, -12
Solve -4*m**3 - 53224*m**2 + 3204240*m - 48117600 = 0 for m.
-13366, 30
Solve -2*c**5/9 + 22*c**4/9 - 76*c**3/9 + 104*c**2/9 - 16*c/3 = 0.
0, 1, 2, 6
Factor -3*z**3/4 + 177*z**2 - 5088*z + 39168.
-3*(z - 204)*(z - 16)**2/4
Factor l**3/2 + 1161*l**2/2 - 3497*l + 4668.
(l - 4)*(l - 2)*(l + 1167)/2
Suppose -3*z**3/2 - 81*z**2 - 2637*z/2 - 6699 = 0. Calculate z.
-29, -14, -11
Factor 3*k**3 - 82455*k**2 + 567104496*k - 7358430144.
3*(k - 13736)**2*(k - 13)
What is v in -v**2/5 + 17*v/5 + 3186 = 0?
-118, 135
Factor 2*n**3 - 678*n**2 + 6622*n - 13818.
2*(n - 329)*(n - 7)*(n - 3)
Factor -4*y**3/5 - 852*y**2/5 - 5768*y/5.
-4*y*(y + 7)*(y + 206)/5
Factor 7*l**3 + 1102*l**2 + 44148*l + 60840.
(l + 78)**2*(7*l + 10)
Determine a so that -4*a**3 + 2036*a**2 + 4120*a - 16352 = 0.
-4, 2, 511
Let -5*g**3 + 3025*g**2 - 133680*g = 0. What is g?
0, 48, 557
Solve 45*h**5/2 + 2283*h**4 - 2497*h**3/2 - 2487*h**2 + 1226*h + 204 = 0.
-102, -1, -2/15, 2/3, 1
Factor -3*k**2 + 4449*k + 311550.
-3*(k - 1550)*(k + 67)
Let -5*x**2 + 430*x - 9240 = 0. Calculate x.
42, 44
Factor -12814*x**3 + 76890*x**2 - 115362*x + 54.
-2*(x - 3)**2*(6407*x - 3)
Determine l, given that 35*l**5/4 + 160*l**4 + 10*l**3 - 640*l**2 - 180*l = 0.
-18, -2, -2/7, 0, 2
Solve 4*j**3 + 20916*j**2 - 41848*j = 0 for j.
-5231, 0, 2
Determine x, given that x**3 + 745916*x**2 + 139098415677*x + 278193847698 = 0.
-372957, -2
Determine f so that -2*f**5/23 - 208*f**4/23 - 6842*f**3/23 - 66612*f**2/23 + 88200*f/23 + 148176/23 = 0.
-42, -21, -1, 2
Factor -5*c**2 - 255*c + 810.
-5*(c - 3)*(c + 54)
Let -z**2 + 8543*z - 59752 = 0. Calculate z.
7, 8536
Factor -98861726*o**4/7 + 278806230*o**3/7 + 52271076*o**2/7 + 3176008*o/7 + 63888/7.
-2*(o - 3)*(367*o + 22)**3/7
Solve -n**3/2 - 1549*n**2/2 - 771*n + 4644 = 0.
-1548, -3, 2
Factor 2*f**3/7 - 23388*f**2/7 + 46770*f/7 - 23384/7.
2*(f - 11692)*(f - 1)**2/7
Find f such that f**5 - 61*f**4 + 1042*f**3 - 2704*f**2 - 16352*f - 12544 = 0.
-2, -1, 8, 28
Factor i**4/5 - 194*i**3/5 - 576*i**2 - 6784*i/5 + 26624/5.
(i - 208)*(i - 2)*(i + 8)**2/5
Suppose -16*b**5 - 356*b**4 - 408*b**3 + 272*b**2 + 424*b + 84 = 0. Calculate b.
-21, -1, -1/4, 1
Factor -s**2/4 - 2477*s/2 - 6135529/4.
-(s + 2477)**2/4
Factor 3*w**3 - 39*w**2 - 6642*w.
3*w*(w - 54)*(w + 41)
Find n such that 2*n**2 + 80502*n - 241524 = 0.
-40254, 3
Find s such that 4*s**5 - 196*s**4 + 1668*s**3 + 196*s**2 - 1672*s = 0.
-1, 0, 1, 11, 38
Suppose 4*s**4 - 760*s**3 - 780*s**2 + 3040*s + 3056 = 0. What is s?
-2, -1, 2, 191
Suppose 3*z**3 + 111*z**2 - 1044*z + 1620 = 0. Calculate z.
-45, 2, 6
Factor 3*d**3/2 + 332630*d**2/3 + 12293561293*d/6 - 1365967681/3.
(d + 36959)**2*(9*d - 2)/6
What is k in 2*k**3/3 + 176*k**2/3 - 3038*k/3 + 5356/3 = 0?
-103, 2, 13
Find w such that -2*w**4/5 + 542*w**3 + 49362*w**2/5 + 90586*w/5 + 43936/5 = 0.
-16, -1, 1373
Find w, given that -2*w**5/7 + 14*w**4 - 1032*w**3/7 - 2168*w**2/7 + 1760*w - 9216/7 = 0.
-4, 1, 2, 18, 32
Factor f**3/7 - 617*f**2 - 38952*f/7.
f*(f - 4328)*(f + 9)/7
Let -12*z**3 + 33088*z**2 + 88332*z - 33120 = 0. What is z?
-3, 1/3, 2760
What is o in o**3/9 - 481*o**2/9 + 158*o/3 + 320 = 0?
-2, 3, 480
Factor -4*t**4 - 48536*t**3 - 148394212*t**2 - 7039273152*t - 84137124096.
-4*(t + 24)**2*(t + 6043)**2
Find k such that 3*k**2/8 + 5205*k/4 - 10413/8 = 0.
-3471, 1
Find k such that -2*k**4 - 26*k**3 + 318*k**2 - 414*k - 756 = 0.
-21, -1, 3, 6
Determine a, given that 5*a**5 - 19870*a**4 + 79390*a**3 + 39760*a**2 - 238155*a - 178650 = 0.
-1, 3, 3970
Let -2*p**3/17 - 1628*p**2/17 - 19392*p + 39168 = 0. What is p?
-408, 2
What is s in 9*s**5/4 - 421*s**4/4 + 3119*s**3/4 + 43725*s**2/4 + 12231*s + 2187 = 0?
-6, -1, -2/9, 27
Find u such that 24*u**5/5 + 1914*u**4/5 - 6552*u**3/5 - 1290*u**2 + 1992*u/5 = 0.
-83, -1, 0, 1/4, 4
Let 2*l**5/5 + 34*l**4/5 + 214*l**3/5 + 638*l**2/5 + 912*l/5 + 504/5 = 0. What is l?
-7, -3, -2
Factor -3