*2 + 171520*r - 872960 = 0.
-124, -22, 8
Let -3*q**2 - 4953*q - 54120 = 0. Calculate q.
-1640, -11
Factor -m**3/8 + 22*m**2 - 2609*m/8 - 59983/4.
-(m - 154)*(m - 41)*(m + 19)/8
Factor -s**5/6 - 10475*s**4/6 - 10473*s**3/2 - 31417*s**2/6 - 5236*s/3.
-s*(s + 1)**3*(s + 10472)/6
Factor -5*x**5 - 175865*x**4 - 1546336975*x**3 + 1546512845*x**2.
-5*x**2*(x - 1)*(x + 17587)**2
Solve -s**5/3 + 92*s**4/3 + 710*s**3/3 - 564*s**2 + 297*s = 0 for s.
-9, 0, 1, 99
Factor -5*s**4 - 685*s**3 - 22220*s**2 + 72960*s.
-5*s*(s - 3)*(s + 64)*(s + 76)
What is l in -4*l**4/5 + 32*l**3/5 + 2164*l**2/5 + 7888*l/5 = 0?
-17, -4, 0, 29
Factor -5*v**2/2 + 16975*v/2 + 16985.
-5*(v - 3397)*(v + 2)/2
Determine c so that -4*c**2/5 + 1144*c/5 - 27972/5 = 0.
27, 259
Factor -4*q**2 - 756*q + 66040.
-4*(q - 65)*(q + 254)
Let 2*f**2/7 + 525172*f/7 + 34475703698/7 = 0. What is f?
-131293
Factor -5*l**3 - 2780*l**2 - 5525*l + 8310.
-5*(l - 1)*(l + 3)*(l + 554)
Find v such that -2*v**4/5 + 134*v**3/5 - 628*v**2/5 + 496*v/5 = 0.
0, 1, 4, 62
Suppose 307824*g**5/7 + 88968*g**4 + 45537*g**3 + 324*g**2/7 - 3645*g/7 - 162/7 = 0. Calculate g.
-1, -3/44, 6/53
Factor -3*n**2 - 118350*n + 236712.
-3*(n - 2)*(n + 39452)
Let -27*k**3 + 762*k**2 + 3288*k - 768 = 0. Calculate k.
-4, 2/9, 32
Factor 2*a**2/5 - 324*a/5 - 656/5.
2*(a - 164)*(a + 2)/5
Factor 4*y**3 - 242860*y**2 + 3686189792*y + 3686432656.
4*(y - 30358)**2*(y + 1)
Factor 3*a**3 + 330*a**2 - 118944*a + 5884704.
3*(a - 84)**2*(a + 278)
Find z such that -3*z**4/7 + 699*z**3/7 - 4770*z**2/7 + 768*z + 10848/7 = 0.
-1, 4, 226
Factor 4*u**2/7 - 2124*u/7 + 1800.
4*(u - 525)*(u - 6)/7
Factor 50*a**3/11 - 3595440*a**2/11 + 2876328*a/11 - 575264/11.
2*(a - 71908)*(5*a - 2)**2/11
Factor 33*r**4 - 867*r**3 + 5811*r**2 - 1521*r.
3*r*(r - 13)**2*(11*r - 3)
Suppose -2*h**2/23 + 77816*h/23 - 756916232/23 = 0. What is h?
19454
What is h in 2*h**2 + 16096*h + 64352 = 0?
-8044, -4
Find f, given that -3*f**5 - 147171*f**4 - 1805309832*f**3 - 9024047400*f**2 - 14437180848*f - 7218296112 = 0.
-24526, -2, -1
Find j such that -2*j**3 - 8282*j**2 - 8578080*j - 8569800 = 0.
-2070, -1
Factor -3399*s**5 + 14172*s**4 - 22698*s**3 + 17052*s**2 - 5703*s + 576.
-3*(s - 1)**4*(1133*s - 192)
Let 8284*r**2 - 32*r = 0. What is r?
0, 8/2071
Factor 2*l**3/11 - 258*l**2/11 + 492*l/11 + 2032/11.
2*(l - 127)*(l - 4)*(l + 2)/11
What is g in -3*g**3 - 10827*g**2 - 118788*g - 194292 = 0?
-3598, -9, -2
Determine k, given that -3*k**2/7 - 110730*k/7 - 1021761075/7 = 0.
-18455
Determine l, given that -l**3/3 + 63*l**2 - 2940*l + 15444 = 0.
6, 66, 117
Let -602*k**5/11 + 5416*k**4/11 - 5400*k**3/11 - 24700*k**2/11 + 25202*k/11 + 84/11 = 0. Calculate k.
-2, -1/301, 1, 3, 7
Factor -w**3 + 14*w**2 + 3243*w - 9828.
-(w - 63)*(w - 3)*(w + 52)
Let -9*r**5/4 - 12063*r**4/4 + 47667*r**3 - 179040*r**2 - 65088*r = 0. Calculate r.
-1356, -1/3, 0, 8
Factor -2*g**3/7 - 2666*g**2/7 - 1140*g.
-2*g*(g + 3)*(g + 1330)/7
Factor 4*g**2 - 13832*g - 1175612.
4*(g - 3541)*(g + 83)
Factor -4*o**4 - 344*o**3 + 412*o**2 + 5648*o + 6960.
-4*(o - 5)*(o + 2)**2*(o + 87)
Factor s**2/5 + 3879*s/10 + 1939/10.
(s + 1939)*(2*s + 1)/10
Factor g**3/6 - 2083*g**2/6 + 541840*g/3 + 542882/3.
(g - 1042)**2*(g + 1)/6
Suppose -9*a**4 + 62*a**3 + 15*a**2 - 56*a = 0. What is a?
-1, 0, 8/9, 7
Solve 4*s**3 - 73364*s**2 + 336428960*s - 336355600 = 0 for s.
1, 9170
Factor 4*n**4 + 4*n**3 - 5488*n**2 + 86720*n - 211200.
4*(n - 20)**2*(n - 3)*(n + 44)
Suppose 3*y**2 + 171*y - 36894 = 0. What is y?
-143, 86
Determine z so that z**5/2 - 5*z**4/2 - 25*z**3/2 + 185*z**2/2 - 168*z + 90 = 0.
-6, 1, 2, 3, 5
Suppose -3*a**5 + 294516*a**4 - 7228011663*a**3 - 14457201414*a**2 = 0. Calculate a.
-2, 0, 49087
Determine l, given that -l**2/5 + 718*l/5 = 0.
0, 718
Determine u, given that -u**5/5 + 267*u**4/5 - 24024*u**3/5 + 751168*u**2/5 - 2044416*u/5 = 0.
0, 3, 88
Factor r**3/2 - 1619*r**2/2 - 3241*r/2 - 1621/2.
(r - 1621)*(r + 1)**2/2
Factor q**4/4 - 31*q**3/4 - 1311*q**2/2.
q**2*(q - 69)*(q + 38)/4
Suppose -7*l**2 - 2311*l - 11700 = 0. Calculate l.
-325, -36/7
Let 5*h**4 - 355*h**3 - 1190*h**2 + 5980*h - 4440 = 0. What is h?
-6, 1, 2, 74
Determine i so that -42*i**4 + 47272*i**3 + 135101*i**2/6 + 7131*i/2 + 563/3 = 0.
-1/6, -1/7, 1126
Let -6930*z**4 + 4964*z**3 + 1970*z**2 - 4*z = 0. What is z?
-2/7, 0, 1/495, 1
Determine l, given that -l**5/2 + l**4 + 349*l**3/2 + 113*l**2 - 13920*l - 26928 = 0.
-12, -2, 11, 17
Let 2*i**5 + 90*i**4 + 1244*i**3 + 5784*i**2 + 2480*i - 9600 = 0. Calculate i.
-24, -10, -2, 1
Let 2*h**4 + 26*h**3 + 120*h**2 + 232*h + 160 = 0. What is h?
-5, -4, -2
Suppose t**3 + 6*t**2 - 235*t + 228 = 0. Calculate t.
-19, 1, 12
Factor -4*j**3 + 280*j**2 + 868*j + 584.
-4*(j - 73)*(j + 1)*(j + 2)
Suppose 2*c**5/11 - 76*c**4/11 + 800*c**3/11 - 2500*c**2/11 - 802*c/11 + 2576/11 = 0. Calculate c.
-1, 1, 7, 8, 23
Let i**5/2 + 1151*i**4/8 + 8792*i**3 - 223967*i**2 + 1241240*i - 296450 = 0. Calculate i.
-154, 1/4, 10
Find v such that -5*v**5 - 4600*v**4 + 160200*v**3 - 1879200*v**2 + 9255600*v - 16485120 = 0.
-954, 6, 16
Factor c**2/2 - 19620*c + 192472200.
(c - 19620)**2/2
Find b such that b**4 - 7954*b**3 + 15887953*b**2 - 284053248*b + 1275346944 = 0.
9, 3968
Factor 3*v**2/2 + 531267*v/2 + 531261.
3*(v + 2)*(v + 177087)/2
Let y**5 - 1665*y**4 - 1666*y**3 = 0. What is y?
-1, 0, 1666
Suppose -f**4 - 24*f**3 + 1357*f**2 - 9540*f = 0. Calculate f.
-53, 0, 9, 20
Find d such that -d**3 - 478*d**2 + 25156*d - 48392 = 0.
-526, 2, 46
Factor -g**3/11 + 6959*g**2/11 - 1265*g + 6957/11.
-(g - 6957)*(g - 1)**2/11
Determine z so that -22*z**3/9 + 186*z**2 + 61030*z/9 - 618 = 0.
-27, 1/11, 103
Solve i**3/4 + 7467*i**2/4 + 14922*i + 29836 = 0.
-7459, -4
Factor 3*i**4 + 522*i**3 + 23031*i**2 + 44508*i + 21996.
3*(i + 1)**2*(i + 78)*(i + 94)
Factor 2*b**2/9 - 19286*b/3.
2*b*(b - 28929)/9
Factor 2*h**2/7 + 20794*h/7 + 20792/7.
2*(h + 1)*(h + 10396)/7
Solve 4*o**4 + 4920*o**3 + 1512900*o**2 = 0.
-615, 0
Suppose -5*a**4 + 1150*a**3 - 65880*a**2 - 56350*a + 3240125 = 0. What is a?
-7, 7, 115
Determine r so that 7*r**5/6 + 629*r**4/3 - 20653*r**3/6 + 20644*r**2/3 - 1690*r = 0.
-195, 0, 2/7, 2, 13
Determine q, given that -2*q**3 + 11676*q**2 - 16923762*q - 343161640 = 0.
-20, 2929
Factor -2*r**2 - 201235*r/2 - 201231/2.
-(r + 1)*(4*r + 201231)/2
Determine z so that 3*z**2 - 24501*z - 24504 = 0.
-1, 8168
Solve g**4/2 + 425*g**3/2 + 1469*g**2 + 2508*g = 0 for g.
-418, -4, -3, 0
Factor -3*d**3/5 - 1587*d**2/5 + 48*d/5 + 25392/5.
-3*(d - 4)*(d + 4)*(d + 529)/5
Factor a**3 - 421*a**2 + 1254*a.
a*(a - 418)*(a - 3)
Factor -u**3/2 + 67*u**2 - 395*u/2 + 131.
-(u - 131)*(u - 2)*(u - 1)/2
Factor 8*d**4/3 + 27520*d**3/3 - 27538*d**2 + 20658*d.
2*d*(d + 3443)*(2*d - 3)**2/3
Factor 2*d**2/5 - 97148*d/5 + 1179716738/5.
2*(d - 24287)**2/5
Factor -2*q**3/15 + 7828*q**2/15 + 522*q.
-2*q*(q - 3915)*(q + 1)/15
Factor 2*l**2/11 + 16084*l/11 - 48270/11.
2*(l - 3)*(l + 8045)/11
What is s in 3*s**5 - 375*s**4 + 12258*s**3 - 33114*s**2 - 12261*s + 33489 = 0?
-1, 1, 3, 61
Let -7*p**5 - 1125*p**4 + 4921*p**3 - 4779*p**2 + 990*p = 0. Calculate p.
-165, 0, 2/7, 1, 3
Find f such that -2*f**5/13 - 126*f**4/13 - 462*f**3/13 + 590*f**2/13 = 0.
-59, -5, 0, 1
Suppose 3*k**4 + 1296*k**3 - 677160*k**2 + 86085504*k - 3440145168 = 0. What is k?
-774, 114
Factor 2*h**3 + 102*h**2 - 116*h - 624.
2*(h - 3)*(h + 2)*(h + 52)
Factor 2*n**3 - 6154*n**2 - 280892*n - 274736.
2*(n - 3122)*(n + 1)*(n + 44)
Let -c**2/4 - 1753*c/4 + 1757 = 0. Calculate c.
-1757, 4
What is y in 4*y**2 + 4096*y - 20580 = 0?
-1029, 5
Let r**4/4 + 591*r**3 + 1181*r**2/2 - 591*r - 2363/4 = 0. What is r?
-2363, -1, 1
Let -2*d**4 - 6718*d**3 - 40260*d**2 - 80488*d - 53648 = 0. Calculate d.
-3353, -2
Determine y so that -y**4/5 - 498*y**3/5 + 603*y**2 - 4532*y/5 + 2016/5 = 0.
-504, 1, 4
Factor -q**2 + 261*q + 57226.
-(q - 403)*(q + 142)
Suppose -5*q**3 + 435*q**2 - 12375*q + 115625 = 0. Calculate q.
25, 37
What is z in 3*z**5/4 + 171*z**4/4 - 867*z**3/2 - 6408*z**2 - 10752*z = 0?
-64, -7, -2, 0, 16
Factor k**4 - 2673*k**3 - 188934*k**2 - 723628*k - 712920.
(k - 2742)*(k + 2)**2*(k + 65)
Determine z so that -2*z**5/5 - 48*z**4/5 - 176*z**3/5 + 1344*z**2/5 - 1568*z/5 = 0.
-14, 0, 2
Factor 2*u**3/7 - 64*u**2/7 + 62*u/7.
2*u*(u - 