2 + 8772*k.
-4*k*(k - 43)*(k + 1)*(k + 51)
Factor -2*a**3 - 456*a**2 - 7522*a + 7980.
-2*(a - 1)*(a + 19)*(a + 210)
Factor 2*m**3/7 - 962*m**2/7 + 5686*m/7 + 950.
2*(m - 475)*(m - 7)*(m + 1)/7
Factor 5*o**2 + 1215010*o + 73812465005.
5*(o + 121501)**2
Factor -3*f**2 + 252*f - 4320.
-3*(f - 60)*(f - 24)
Determine t so that 462*t**4 + 92643*t**3 + 4668606*t**2 + 2431200*t + 60000 = 0.
-100, -1/2, -2/77
Factor 2*x**2/3 + 890*x/3 + 89900/3.
2*(x + 155)*(x + 290)/3
Determine p, given that 4*p**2 + 700*p + 16936 = 0.
-146, -29
Find d, given that d**5/2 - 39*d**4/2 - 1261*d**3/2 + 39*d**2/2 + 630*d = 0.
-21, -1, 0, 1, 60
Solve 2*f**3/5 - 180*f**2 + 44344*f/5 - 85104/5 = 0.
2, 54, 394
Solve -3*w**4/2 - 127*w**3/2 + 645*w**2/2 - 617*w/2 - 141 = 0 for w.
-47, -1/3, 2, 3
Factor -y**3/3 - 785*y**2/3 - 156767*y/3 - 1059247/3.
-(y + 7)*(y + 389)**2/3
Solve -3*o**2 + 684*o + 174879 = 0 for o.
-153, 381
Find k, given that 5*k**4 - 5515*k**3 + 1523505*k**2 - 1506985*k - 3036010 = 0.
-1, 2, 551
Factor -4*u**4/3 + 1659884*u**3/3 - 172203420640*u**2/3 + 172198441024*u.
-4*u*(u - 207484)**2*(u - 3)/3
Factor 2*j**4 + 15204*j**3 + 91176*j**2 + 182320*j + 121536.
2*(j + 2)**3*(j + 7596)
Suppose 76*d**4 + 162*d**3 - 588*d**2 - 80*d = 0. Calculate d.
-4, -5/38, 0, 2
Determine a so that 2*a**3 - 608*a**2 + 26498*a + 27108 = 0.
-1, 54, 251
Suppose -q**4 + 32*q**3 - 89*q**2 + 58*q = 0. What is q?
0, 1, 2, 29
Factor -2*u**3/11 + 1199278*u**2/11 - 179782865520*u/11 - 179784064800/11.
-2*(u - 299820)**2*(u + 1)/11
Suppose 3*t**2 - 27528*t - 27531 = 0. What is t?
-1, 9177
Determine v so that 2*v**2/19 + 17716*v/19 + 39232082/19 = 0.
-4429
Factor i**3 - 1349*i**2 + 427504*i + 18783804.
(i - 694)**2*(i + 39)
Suppose -4*m**3/9 + 978404*m**2/9 - 6647684444*m - 6647793156 = 0. Calculate m.
-1, 122301
Solve -3*b**4/4 + 153*b**3/4 - 579*b**2/4 + 711*b/4 - 141/2 = 0.
1, 2, 47
Suppose -3*s**4/4 - 297*s**3/4 - 9477*s**2/4 - 98415*s/4 = 0. Calculate s.
-45, -27, 0
Factor 4*g**2 - 21684*g + 108320.
4*(g - 5416)*(g - 5)
Factor 2*m**3/13 + 1070*m**2/13 + 1068*m/13.
2*m*(m + 1)*(m + 534)/13
Factor -x**3/5 - 231*x**2/5 + 139536*x/5 - 2472128.
-(x - 152)**2*(x + 535)/5
Factor -2*f**2/9 - 26*f + 236/9.
-2*(f - 1)*(f + 118)/9
Suppose -t**4/4 - 391*t**3/4 - 1161*t**2/2 - 1157*t - 770 = 0. Calculate t.
-385, -2
Suppose t**4/2 + 474*t**3 + 6593*t**2/2 + 2823*t = 0. Calculate t.
-941, -6, -1, 0
Solve -3*v**2/8 + 10755*v/8 - 10731 = 0.
8, 3577
Solve -2*v**5 + 36*v**4 + 818*v**3 - 5612*v**2 + 11640*v - 7888 = 0 for v.
-17, 2, 29
Find p such that -4*p**5/5 - 6304*p**4/5 - 31456*p**3/5 - 56584*p**2/5 - 43996*p/5 - 12568/5 = 0.
-1571, -2, -1
Find k such that 381*k**2 - 24030*k + 1701 = 0.
9/127, 63
Find c such that -3*c**2/4 + 429783*c - 61571142363 = 0.
286522
Find h such that 2*h**3 + 38*h**2 + 46*h - 1430 = 0.
-13, -11, 5
Let -3*h**2 - 2634177*h - 2634174 = 0. What is h?
-878058, -1
Solve 4*v**2/3 + 2939984*v/3 + 540219120016/3 = 0 for v.
-367498
Factor -3*l**3 - 2401*l**2/3 - 6788*l + 1548.
-(l + 9)*(l + 258)*(9*l - 2)/3
Determine a, given that a**5/3 + 11*a**4/3 + 17*a**3/3 - 71*a**2/3 + 14*a = 0.
-7, -6, 0, 1
Determine c so that 5*c**5 + 8230*c**4 + 4568715*c**3 + 883668670*c**2 + 15617963060*c - 54930930360 = 0.
-542, -23, 3
Suppose -2*v**2/5 - 482*v/5 - 25596/5 = 0. Calculate v.
-162, -79
Factor -2*u**3 - 28*u**2 + 7686*u + 23256.
-2*(u - 57)*(u + 3)*(u + 68)
Solve o**3 + 15*o**2 + 36*o - 140 = 0.
-10, -7, 2
Solve -b**3/6 + 29*b**2/2 + 45*b = 0 for b.
-3, 0, 90
Determine b, given that 2*b**4/11 + 49344*b**3/11 + 405805056*b**2/11 + 1112446926848*b/11 = 0.
-8224, 0
Determine b, given that 3*b**5 - 2130*b**4 - 6411*b**3 - 4278*b**2 = 0.
-2, -1, 0, 713
Find x such that 4*x**4 - 92*x**3 - 185768*x**2 + 17052288*x - 16866432 = 0.
-242, 1, 132
Let 20*i**2 - 20976*i - 4196 = 0. What is i?
-1/5, 1049
Factor t**5 - 7806*t**4 + 15608*t**3 + 2*t**2 - 15609*t + 7804.
(t - 7804)*(t - 1)**3*(t + 1)
Factor 5*u**4 - 3445*u**3 + 3340*u**2 + 68800*u.
5*u*(u - 688)*(u - 5)*(u + 4)
Suppose -117*b**2 - 708*b - 36 = 0. What is b?
-6, -2/39
Solve 2*h**2 - 118*h + 228 = 0.
2, 57
Determine z, given that -2*z**5 + 44*z**4 - 72*z**3 - 2908*z**2 + 11050*z - 8112 = 0.
-8, 1, 3, 13
Let -5*s**4 - 33*s**3 + 54*s**2 - 16*s = 0. What is s?
-8, 0, 2/5, 1
Solve -2*t**5/5 - 184*t**4/5 + 2008*t**3/5 - 3264*t**2/5 = 0 for t.
-102, 0, 2, 8
What is s in -4*s**5 - 152*s**4 - 540*s**3 + 200*s**2 + 2224*s + 1632 = 0?
-34, -3, -2, -1, 2
Factor 2*t**2 - 5998*t + 29940.
2*(t - 2994)*(t - 5)
Find k, given that 61*k**5/2 + 8118*k**4 + 41346*k**3 + 62375*k**2 + 66063*k/2 + 3915 = 0.
-261, -3, -1, -10/61
Factor -w**3/2 + 72*w**2 + 17430*w + 695800.
-(w - 284)*(w + 70)**2/2
Suppose 82*i**5/5 - 3776*i**4/5 + 24538*i**3/5 + 477036*i**2/5 - 23328*i/5 = 0. Calculate i.
-8, 0, 2/41, 27
Factor 2*r**2 - 64852*r + 525722738.
2*(r - 16213)**2
Factor -390625*y**3/11 - 2348750*y**2/11 - 30016*y/11 - 96/11.
-(y + 6)*(625*y + 4)**2/11
Factor -s**3 - 8161*s**2 - 32632*s - 32628.
-(s + 2)**2*(s + 8157)
Suppose -a**5/2 + 218*a**4 - 46613*a**3/2 - 102695*a**2 + 633600*a + 2178000 = 0. Calculate a.
-6, -3, 5, 220
Factor 227*p**3/2 + 2291*p**2 + 11770*p + 2100.
(p + 10)**2*(227*p + 42)/2
Factor 4*f**3 - 80*f**2 - 1588*f + 1664.
4*(f - 32)*(f - 1)*(f + 13)
Factor 26*f**2 - 4708*f + 9312.
2*(f - 2)*(13*f - 2328)
Find c such that 4*c**4/9 - 58*c**3/9 - 1622*c**2/9 + 8942*c/3 - 4046 = 0.
-21, 3/2, 17
Factor -2*w**5/13 - 1060*w**4/13 - 159192*w**3/13 - 9462812*w**2/13 - 197902054*w/13.
-2*w*(w + 67)**3*(w + 329)/13
What is h in -2*h**5/13 - 32*h**4/13 - 186*h**3/13 - 484*h**2/13 - 568*h/13 - 240/13 = 0?
-6, -5, -2, -1
Factor -4*x**2/9 - 456544*x/9 + 1826240/9.
-4*(x - 4)*(x + 114140)/9
Factor -3*z**2/4 + 2985*z/4 + 22725/2.
-3*(z - 1010)*(z + 15)/4
Factor u**2 - 95*u + 2184.
(u - 56)*(u - 39)
Suppose 3*w**2 + 711*w + 6810 = 0. What is w?
-227, -10
Factor -3*a**3/4 + 1827*a**2/2 - 3651*a/4.
-3*a*(a - 1217)*(a - 1)/4
Factor -2*y**2 - 224*y - 6144.
-2*(y + 48)*(y + 64)
Determine j, given that -4*j**4 + 144*j**3 + 3608*j**2 - 144*j - 3604 = 0.
-17, -1, 1, 53
Let -4*z**3/3 - 42808*z**2/3 + 428396*z/3 - 299936 = 0. Calculate z.
-10712, 3, 7
Factor 3*i**3/4 - 26445*i**2/4 - 119103*i/2 - 92652.
3*(i - 8824)*(i + 2)*(i + 7)/4
Find j such that -33*j**5 - 3375*j**4 - 13986*j**3 - 16500*j**2 - 3528*j = 0.
-98, -2, -3/11, 0
Find u such that -4*u**2/17 + 1782*u/17 + 7192/17 = 0.
-4, 899/2
Factor 2*z**2/13 + 1982*z/13.
2*z*(z + 991)/13
Factor -2*b**3 - 72*b**2 - 514*b + 2244.
-2*(b - 3)*(b + 17)*(b + 22)
Solve -15*q**4 + 1160*q**3 + 596940*q**2 - 64920960*q - 43545600 = 0.
-210, -2/3, 144
Factor 3*i**3/4 + 1269*i**2 + 2014623*i/4 - 56898075/2.
3*(i - 50)*(i + 871)**2/4
Let -75*h**5 - 29705*h**4 + 57775*h**3 + 25745*h**2 - 49720*h + 11940 = 0. Calculate h.
-398, -1, 1/3, 3/5, 2
What is p in -2*p**4/17 - 186*p**3/17 - 4010*p**2/17 + 186*p/17 + 236 = 0?
-59, -34, -1, 1
Find o, given that -2*o**2/15 - 12112*o/3 - 60550/3 = 0.
-30275, -5
Let -2*v**5 + 6*v**4 + 14*v**3 - 22*v**2 - 12*v + 16 = 0. What is v?
-2, -1, 1, 4
Let 3*h**2/8 + 63*h/2 - 276 = 0. Calculate h.
-92, 8
Factor r**2/5 + 2711*r/5 + 79236.
(r + 155)*(r + 2556)/5
Find y such that 2*y**2/9 - 3338*y/9 - 12320/3 = 0.
-11, 1680
Determine i, given that -i**2/3 + 12319*i/3 + 12320/3 = 0.
-1, 12320
Determine a so that -4*a**3 + 4224*a**2 + 4228*a = 0.
-1, 0, 1057
Solve -6*j**2 + 4108*j - 10912 = 0 for j.
8/3, 682
Factor -2*a**3/5 + 1718*a**2/5 - 5056*a/5 - 13696.
-2*(a - 856)*(a - 8)*(a + 5)/5
Find f such that -6*f**4 - 69057*f**3 - 198754671*f**2 - 298011168*f - 99325548 = 0.
-5754, -1, -1/2
Factor 2*x**3/9 - 46970*x**2/3 + 275764784*x + 2482023968/9.
2*(x - 35228)**2*(x + 1)/9
Let -6*t**3/5 - 1425762*t**2/5 - 84699173808*t/5 + 84700599576/5 = 0. What is t?
-118814, 1
Factor -2*b**2/9 + 10012*b/3 + 50110.
-2*(b - 15033)*(b + 15)/9
Factor 3*q**3 + 1554*q**2 - 315372*q + 13757304.
3*(q - 82)**2*(q + 682)
Find b, given that -64041*b**2 - 320247*b - 210 = 0.
-5, -14/21347
Factor -2*k**4 - 19048*k**3 - 45391368*k**2 - 181336960*k - 181260800.
-2*(k + 2)**2*(k + 4760)**2
Factor 9*j**3/7 + 8206*j**2/7 - 10041*j/7 + 1826/7.
(j - 1)*(j + 913)*(9*j - 2)/7
Solve -m**3 - 72042*m**2 + 144087*m - 72044 = 0 for m.
-72044, 1
Suppose d**3 + 499