12)*(h + 1)*(h + 3)
Let -a**4/3 - 7*a**3/3 - 11*a**2/3 - 5*a/3 = 0. What is a?
-5, -1, 0
Let 2*k**3 + 38*k**2 + 62*k - 102 = 0. Calculate k.
-17, -3, 1
Suppose 5*a**5 + 75*a**4 + 330*a**3 + 580*a**2 + 360*a = 0. What is a?
-9, -2, 0
Factor -w**3/3 - w**2 + 40*w/3.
-w*(w - 5)*(w + 8)/3
Factor 4*m**3 + 180*m**2 - 192*m - 368.
4*(m - 2)*(m + 1)*(m + 46)
Factor -2*o**3/9 - 32*o**2/9 + 38*o/9 + 68/9.
-2*(o - 2)*(o + 1)*(o + 17)/9
Factor -2*o**2/5 + 38*o/5 - 68/5.
-2*(o - 17)*(o - 2)/5
Find p, given that -2*p**3/5 - 26*p**2/5 - 94*p/5 - 14 = 0.
-7, -5, -1
Factor -4*j**4 + 20*j**3 + 4*j**2 - 20*j.
-4*j*(j - 5)*(j - 1)*(j + 1)
Let -f**3/4 + 429*f**2/4 - 61347*f/4 + 2924207/4 = 0. Calculate f.
143
Factor -3*g**4 + 26*g**3 - 72*g**2 + 54*g + 27.
-(g - 3)**3*(3*g + 1)
Determine u so that 15*u**4 + 57*u**3 + 54*u**2 = 0.
-2, -9/5, 0
Solve -l**3 - 906*l**2 + 2725*l - 1818 = 0 for l.
-909, 1, 2
Solve -2*k**5/11 - 2630*k**4/11 + 15828*k**3/11 - 31688*k**2/11 + 21136*k/11 = 0.
-1321, 0, 2
Factor w**2/3 - 3.
(w - 3)*(w + 3)/3
Factor -4*t**4 - 980*t**3 + 2964*t**2 - 2972*t + 992.
-4*(t - 1)**3*(t + 248)
Find b, given that -2*b**2/5 + 2932*b/5 - 586 = 0.
1, 1465
Determine b, given that -5*b**3 + 135*b - 270 = 0.
-6, 3
Solve 5*f**2/6 - 15*f = 0.
0, 18
Factor l**2/4 - 917*l/4 + 915/2.
(l - 915)*(l - 2)/4
Suppose 2*o**4/11 - 34*o**3/11 + 130*o**2/11 + 34*o/11 - 12 = 0. What is o?
-1, 1, 6, 11
Find g, given that -36*g**5 + 3603*g**4/5 + 12*g**3 - 2349*g**2/5 - 1014*g/5 - 24 = 0.
-2/5, -1/3, -1/4, 1, 20
Find m such that 2*m**2/3 + 4188*m + 6577254 = 0.
-3141
What is c in -3*c**2/4 + 195*c/2 = 0?
0, 130
Factor 44*a**3 + 124*a**2 - 24*a.
4*a*(a + 3)*(11*a - 2)
Factor -2*a**3/7 + 26*a/7 - 24/7.
-2*(a - 3)*(a - 1)*(a + 4)/7
Factor -4*u**2 - 44*u - 96.
-4*(u + 3)*(u + 8)
Factor -2*w**3/5 + 2*w**2 - 16*w/5 + 8/5.
-2*(w - 2)**2*(w - 1)/5
Find q such that -116*q**5 - 108*q**4 + 124*q**3 + 108*q**2 - 8*q = 0.
-1, 0, 2/29, 1
Factor -480*p**2 - 2395*p + 25.
-5*(p + 5)*(96*p - 1)
Find w, given that -2*w**5/7 - 4*w**4/7 + 4*w**3 - 16*w**2/7 - 26*w/7 + 20/7 = 0.
-5, -1, 1, 2
Factor -2*m**2/15 + 28*m/3 - 46/5.
-2*(m - 69)*(m - 1)/15
Suppose -3*n**4 + 456*n**3 - 15903*n**2 - 108546*n - 149784 = 0. What is n?
-4, -2, 79
Let 2*r**5 - 2*r**3 = 0. What is r?
-1, 0, 1
Factor 4*p**2 + 20*p - 2000.
4*(p - 20)*(p + 25)
Let s**3/5 - 298*s**2/5 - 901*s/5 - 602/5 = 0. What is s?
-2, -1, 301
Let 4*b**4/3 + 28*b**3/3 - 208*b**2/3 - 1072*b/3 + 896 = 0. What is b?
-8, -7, 2, 6
Factor -2*r**2/13 + 2696*r/13 - 908552/13.
-2*(r - 674)**2/13
Solve 167*o**4/5 + 162*o**3/5 - o**2 = 0 for o.
-1, 0, 5/167
Let r**4/3 - 1292*r**3/3 + 417316*r**2/3 = 0. Calculate r.
0, 646
Let p**5 - 28*p**4 + 181*p**3 + 210*p**2 = 0. What is p?
-1, 0, 14, 15
Suppose -4*l**2/3 - 38*l/3 - 6 = 0. What is l?
-9, -1/2
Factor -m**2/8 + 49*m/8 - 6.
-(m - 48)*(m - 1)/8
Factor 3*d**4/7 - 54*d**3/7 + 180*d**2/7 + 600*d/7.
3*d*(d - 10)**2*(d + 2)/7
What is x in -3*x**5/7 - 9*x**4/7 + 6*x**3/7 + 36*x**2/7 + 24*x/7 = 0?
-2, -1, 0, 2
Factor -5*b**3 + 125*b**2 + 130*b.
-5*b*(b - 26)*(b + 1)
What is s in 5*s**5 - 115*s**4 + 915*s**3 - 2945*s**2 + 3580*s - 1440 = 0?
1, 4, 8, 9
Determine g, given that g**5/6 + 5*g**4/3 + 6*g**3 + 9*g**2 + 9*g/2 = 0.
-3, -1, 0
What is f in f**5 - 264*f**4 + 17686*f**3 - 34584*f**2 + 17161*f = 0?
0, 1, 131
Factor 21*p**3/8 - 159*p**2/2 - 471*p/8 + 93/4.
3*(p - 31)*(p + 1)*(7*p - 2)/8
Factor 5*j**2 - 120*j + 540.
5*(j - 18)*(j - 6)
Find t such that -3*t**5/4 - 9*t**4 - 36*t**3 - 60*t**2 - 36*t = 0.
-6, -2, 0
Determine j, given that -2*j**2/11 + 240*j/11 - 7200/11 = 0.
60
Factor h**4/7 - h**3 + 6*h**2/7 + 4*h - 40/7.
(h - 5)*(h - 2)**2*(h + 2)/7
Factor -3*j**3/8 - 39*j**2/8 - 45*j/4.
-3*j*(j + 3)*(j + 10)/8
Find n such that 27*n**2/7 - 174*n/7 - 15 = 0.
-5/9, 7
Factor 2*x**4 + 3400*x**3 + 2167500*x**2 + 614125000*x + 65250781250.
2*(x + 425)**4
Solve -4*v**5 + 360*v**4 + 4144*v**3 - 14552*v**2 + 15252*v - 5200 = 0.
-13, 1, 100
Suppose -w**2/11 - 404*w/11 + 2877/11 = 0. Calculate w.
-411, 7
Factor -2*l**2/11 - 64*l/11 + 6.
-2*(l - 1)*(l + 33)/11
Factor -3*l**2 - 12*l + 36.
-3*(l - 2)*(l + 6)
Suppose 70*k**5/9 + 904*k**4/9 - 1098*k**3 + 788*k**2/9 + 560*k/9 = 0. Calculate k.
-20, -1/5, 0, 2/7, 7
Determine i so that -3*i**4/8 - 78*i**3 - 1239*i**2/8 - 309*i/4 = 0.
-206, -1, 0
Let -4*m**4 - 36*m**3 - 56*m**2 + 96*m = 0. What is m?
-6, -4, 0, 1
Let -5*b**2 + 500*b = 0. Calculate b.
0, 100
Factor -3*i**2 + 738*i - 45387.
-3*(i - 123)**2
Factor -2*w**2/3 + 160*w - 478/3.
-2*(w - 239)*(w - 1)/3
Determine s so that s**3 + 62*s**2 + 1020*s + 1800 = 0.
-30, -2
Find z such that -12482*z**2/7 - 316*z/7 - 2/7 = 0.
-1/79
Suppose -2*u**4/21 - 32*u**3/7 + 14*u**2/3 = 0. What is u?
-49, 0, 1
Determine f, given that -21*f**3 + 120*f**2 - 153*f - 54 = 0.
-2/7, 3
Factor 10*s**3 + 55*s**2 - 1340*s + 1275.
5*(s - 1)*(s + 15)*(2*s - 17)
Find u, given that -5*u**5 - 255*u**4 - 940*u**3 + 80*u**2 + 3840*u + 3760 = 0.
-47, -2, 2
Factor -2*b**2/15 + 152*b/3 - 14440/3.
-2*(b - 190)**2/15
Suppose 36*t**4 + 232*t**3 + 420*t**2 + 288*t + 64 = 0. What is t?
-4, -1, -4/9
Factor 2*o**4/3 + 134*o**3/3 + 1012*o**2 + 24200*o/3 + 21296/3.
2*(o + 1)*(o + 22)**3/3
Determine w so that 3*w**2 - 3948*w + 1298892 = 0.
658
Let 3*j**5 - 10*j**4 + 6*j**3 + 8*j**2 - 9*j + 2 = 0. What is j?
-1, 1/3, 1, 2
Find j, given that -5*j**2 + 180*j - 1015 = 0.
7, 29
Factor q**2/7 - 4/7.
(q - 2)*(q + 2)/7
Solve j**2/6 - 1/6 = 0.
-1, 1
Find t such that 9*t**5 - 33*t**4 + 19*t**3 - 3*t**2 = 0.
0, 1/3, 3
Factor -2*u**3/15 + 20*u**2/3 - 376*u/15 + 368/15.
-2*(u - 46)*(u - 2)**2/15
Factor 5*f**5 + 17*f**4 - 14*f**3 - 8*f**2.
f**2*(f - 1)*(f + 4)*(5*f + 2)
Determine d, given that 4*d**2 - 8888*d + 17760 = 0.
2, 2220
Find x such that 3*x**5/2 - 3*x**4 + 3*x**3/2 = 0.
0, 1
Factor -18*b**4 + 68*b**3 - 506*b**2/9 - 136*b/9 - 8/9.
-2*(b - 2)**2*(9*b + 1)**2/9
Let v**2/2 - 511*v/2 - 256 = 0. Calculate v.
-1, 512
Determine h so that -4*h**2 + 632*h = 0.
0, 158
Suppose -2*h**3/5 - 26*h**2/5 - 104*h/5 - 24 = 0. Calculate h.
-6, -5, -2
Factor 3*g**2/4 - 177*g/2.
3*g*(g - 118)/4
Determine l, given that 2*l**5/5 + 62*l**4/5 - 18*l**3/5 - 566*l**2/5 - 224*l/5 + 744/5 = 0.
-31, -2, 1, 3
Factor -o**3 - 6*o**2 - 9*o.
-o*(o + 3)**2
Determine l, given that 3*l**3 + 117*l**2 - 2595*l + 2475 = 0.
-55, 1, 15
Let 5*x**4 - 70*x**3 + 300*x**2 - 410*x + 175 = 0. Calculate x.
1, 5, 7
Determine w so that 4*w**4 + 16688*w**3 + 26108376*w**2 + 18154024112*w + 4733661787204 = 0.
-1043
Determine f, given that -24*f**3 + 1198*f**2 - 14900*f - 1250 = 0.
-1/12, 25
Determine k, given that 4*k**3/11 + 882*k**2/11 - 442*k/11 = 0.
-221, 0, 1/2
Factor 5618*k**3/15 + 443398*k**2/15 - 33488*k/15 + 632/15.
2*(k + 79)*(53*k - 2)**2/15
Factor -3*p**3/5 - 294*p**2/5 + 297*p/5.
-3*p*(p - 1)*(p + 99)/5
Factor t**2/6 - 55*t/6 - 19.
(t - 57)*(t + 2)/6
Let b**4 + 32*b**3 + 311*b**2 + 868*b + 588 = 0. Calculate b.
-14, -3, -1
Factor 6*i**4 - 27*i**3 + 27*i**2 + 3*i - 9.
3*(i - 3)*(i - 1)**2*(2*i + 1)
Find k such that 4*k**2/5 + 168*k/5 - 352/5 = 0.
-44, 2
Let -24*a**5 - 20*a**4 + 44*a**3 = 0. What is a?
-11/6, 0, 1
Factor 3*w**3/7 + 267*w**2/7 + 264*w/7.
3*w*(w + 1)*(w + 88)/7
Find f, given that -36*f**5 + 696*f**4 + 2168*f**3 - 1168*f**2 - 1396*f - 264 = 0.
-3, -1/3, 1, 22
Let -7*u**5/6 - 71*u**4/3 - 293*u**3/3 + 692*u**2/3 - 407*u/6 - 121/3 = 0. What is u?
-11, -2/7, 1
Factor -2*a**2/3 + 164*a/3 - 158.
-2*(a - 79)*(a - 3)/3
Find z, given that -4*z**3 - 393*z**2 + 702*z + 200 = 0.
-100, -1/4, 2
Let -a**4 + 630*a**3 - 1249*a**2 - 4392*a - 2512 = 0. What is a?
-1, 4, 628
Suppose 3*s**2/7 - 18*s - 705/7 = 0. Calculate s.
-5, 47
Determine t, given that t**3/2 - 127*t**2 + 502*t - 500 = 0.
2, 250
Let a**2 + 342*a + 29241 = 0. What is a?
-171
Find a such that 2*a**5/3 - 10*a**4/3 + 10*a**3/3 + 10*a**2/3 - 4*a = 0.
-1, 0, 1, 2, 3
Factor -4*x**3 - 628*x**2 - 1244*x - 620.
-4*(x + 1)**2*(x + 155)
Suppose -4*q**3 + 16*q = 0. What is q?
-2, 0, 2
Let 9*b**3/4 - 7*b**2/4 - 14*b - 3 = 0. Calculate b.
-2, -2/9, 3
Suppose -m**5 + 11*m**3 - 18*m**2 + 8*m = 0. What is m?
-4, 0, 1, 2
Find n, given that -9*n**4 - 3*n**3 + 303*n**2 - 765*n + 378 = 0.
-7, 2/3, 3
Factor -2*v**2/7 - 94*v/7 - 344/7.
-2*(v + 4)*(v + 43)/7
Find h such that 15*h**4 