3*r**2. Suppose j(g) = 0. Calculate g.
-11, 3/14
Let s(n) be the third derivative of -n**6/180 + 16*n**5/45 + 35*n**4/36 - 22*n**3/3 - 89*n**2 - 8*n. Let s(w) = 0. What is w?
-2, 1, 33
Let d = 987 - 973. Suppose w + d = -4*n, w - 4*n = -4 + 22. Factor -2/3*a + 8/9 - 2/9*a**w.
-2*(a - 1)*(a + 4)/9
Let d be (21/(-168)*-32)/(2*1). Let g(j) be the second derivative of 7/20*j**5 + 12*j + 3/4*j**4 - 2*j**3 + 0 - 2*j**d. Factor g(m).
(m - 1)*(m + 2)*(7*m + 2)
Let o = -677522 + 677526. Factor 0 + 2/13*l**o - 22/13*l**3 - 32/13*l + 4*l**2.
2*l*(l - 8)*(l - 2)*(l - 1)/13
Let m(o) = -181*o**3 + o**2 + 181*o - 76. Let u(i) = -i**3 + i + 15. Let c(q) = -m(q) - 5*u(q). Factor c(f).
(f - 1)*(f + 1)*(186*f - 1)
Let h be ((-1)/2)/(1 + -1*80/32). Let b(j) be the first derivative of 2 + 2/9*j**3 - 2/3*j + h*j**2 - 1/6*j**4. Factor b(i).
-2*(i - 1)**2*(i + 1)/3
Let f(n) be the third derivative of 0 + 0*n + 74*n**2 - 1/240*n**6 + 0*n**3 + 1/180*n**5 + 1/1260*n**7 + 0*n**4. Factor f(k).
k**2*(k - 2)*(k - 1)/6
Let b(v) be the first derivative of -v**3 + 3/5*v**5 + 9/2*v**2 + 0*v + 128 + 2*v**6 - 21/4*v**4. Find o such that b(o) = 0.
-1, 0, 3/4, 1
Suppose -5*b - 8 = -18. Suppose 0 = 2*t + 2, -r + 10 = 2*r + b*t. Let -5 + 5 - 11*x**2 - 4*x**r - 4*x**3 + 15*x**2 + 4*x**5 = 0. Calculate x.
-1, 0, 1
Let u = -1825806 + 5477420/3. Solve -2*r + 2/3*r**4 + 2*r**3 - 4/3 + u*r**2 = 0 for r.
-2, -1, 1
Let i(l) = -13*l**3 - 167*l**2 - 20*l - 5. Let k(f) = -11*f**3 - 166*f**2 - 16*f - 4. Let g(s) = 4*i(s) - 5*k(s). Factor g(r).
3*r**2*(r + 54)
Suppose 20*m - 504 = -504. Let c(u) be the second derivative of 0*u**2 - 1/270*u**6 + m*u**4 - 2/27*u**3 + 0 - 4*u + 1/60*u**5. Factor c(h).
-h*(h - 2)**2*(h + 1)/9
Find n such that -1560*n**2 - 1772 - 16344*n**4 + 16317*n**4 + 5376*n + 711*n**3 - 388 - 3159*n**3 = 0.
-90, -2, 2/3
Let f(a) be the second derivative of -a**4/48 + 137*a**3/24 - 201*a**2/4 - 2*a - 46. What is s in f(s) = 0?
3, 134
Let x = 1802564/250345 + -16/50069. Solve -4/5*s**3 - 36/5*s**2 + x + 4/5*s = 0 for s.
-9, -1, 1
Let k be (-7 + 4)/(299 + -320). Find i such that 1/7*i**2 - 12/7 + k*i = 0.
-4, 3
Let g(i) be the second derivative of -i**6/90 + 67*i**5/6 - 113557*i**4/36 + 24790*i**3 - 73926*i**2 + 286*i. Factor g(c).
-(c - 333)**2*(c - 2)**2/3
Factor 1140*b - 2*b**4 - 234*b**2 - 64*b**3 - 112 + 742*b - 2166*b.
-2*(b + 1)**2*(b + 2)*(b + 28)
Let j = -364 + 368. Let d(p) be the first derivative of -10*p**3 + 9*p**2 - 2*p - 25/2*p**j + 10. Let d(r) = 0. What is r?
-1, 1/5
Let m(i) be the first derivative of 2*i**5/35 + 5*i**4/6 - 97*i**3/21 + 22*i**2/7 + 150*i - 78. Let l(c) be the first derivative of m(c). Factor l(x).
2*(x - 2)*(x + 11)*(4*x - 1)/7
Suppose m - 4*f = 52, -2*m + 4*f + 180 = m. Factor -m*s**2 + 61*s**2 - 14 + 27*s + 44.
-3*(s - 10)*(s + 1)
Let t(p) be the second derivative of 3*p**5/20 - p**3/3 + p**2/2 + 285*p. Let w be t(1). Factor -9/11 + 6/11*g - 1/11*g**w.
-(g - 3)**2/11
Let h be 2/(-6)*(-5109)/1235*5. Let v = 281/38 - h. Factor 1/4*k**2 + 0 - v*k.
k*(k - 2)/4
Let p be 0 + 2/6 - 4717/(-159). Determine u, given that 3*u**3 + 3 + 9*u**2 + 9 + 3*u**3 - 3*u**4 + 6*u - p*u = 0.
-2, 1, 2
Let h(s) be the second derivative of -s**4/126 + 640*s**3/63 - 102400*s**2/21 + 3167*s. Factor h(c).
-2*(c - 320)**2/21
Factor -347*k - 25 + 159*k - 1 + 7*k**2 - 1.
(k - 27)*(7*k + 1)
Let u(r) be the second derivative of -r**6/120 - 27*r**5/80 - 91*r**4/48 + 9*r**3/8 + 23*r**2/2 - 105*r - 3. Determine k so that u(k) = 0.
-23, -4, -1, 1
Let f = -1/301 + 1209/1505. Let g be (1 + 1)/(19/(-152)*62 + 9). Factor 12*x**2 + f*x - g + 76/5*x**3 + 28/5*x**4.
4*(x + 1)**3*(7*x - 2)/5
Determine a, given that -122/7*a**2 - 247/7*a - 124/7 + 1/7*a**3 = 0.
-1, 124
Factor -45/2*p**2 - 18*p**3 + 39*p + 3/2*p**4 + 0.
3*p*(p - 13)*(p - 1)*(p + 2)/2
Let i = 77 - -88. Let r = -162 + i. Solve 3/4*z + 0 - 9/8*z**2 + 3/8*z**r = 0 for z.
0, 1, 2
Let v(h) be the first derivative of -21*h**4/20 - 1367*h**3/5 + 1473*h**2/5 + 1176*h/5 + 4815. Suppose v(a) = 0. Calculate a.
-196, -2/7, 1
Let b(i) be the second derivative of -2/15*i**6 + 0*i**2 + 52*i + 0*i**3 + 1/5*i**5 + 0 + 2/63*i**7 - 1/9*i**4. Determine u, given that b(u) = 0.
0, 1
Let o(h) be the first derivative of 1/7*h**2 - 46 - 45*h - 5/28*h**4 + 13/42*h**3. Let j(d) be the first derivative of o(d). Factor j(t).
-(t - 1)*(15*t + 2)/7
Let c = 2317/2 + -1158. Let w(h) be the third derivative of -4*h**4 + 4*h**2 + 0*h - 64/3*h**3 + c*h**5 + 0 - 1/60*h**6. Solve w(v) = 0.
-1, 8
Determine y, given that -1669*y**3 + 828*y**3 + 585*y - 206*y**2 - 165*y + 839*y**3 = 0.
-105, 0, 2
Let s(j) be the third derivative of -1/2*j**3 - 1/90*j**6 - j**2 - 5/6*j**4 + 0 - 1/5*j**5 + 0*j. Let n(y) be the first derivative of s(y). Factor n(v).
-4*(v + 1)*(v + 5)
Let t be 117/104 - (-1)/(-8). Let w be (-14)/78 - 2/(t + -7). Find y such that 0 + 8/13*y + 8/13*y**2 + w*y**3 = 0.
-2, 0
Let b(a) be the third derivative of 7/900*a**6 + 0*a + 47/450*a**5 + 7/18*a**4 - 8/15*a**3 + 0 + 33*a**2. Factor b(k).
2*(k + 3)*(k + 4)*(7*k - 2)/15
Let l(u) be the second derivative of -4 + 0*u**2 + 22*u - 1/6*u**3 + 1/100*u**5 + 1/15*u**4. Find v, given that l(v) = 0.
-5, 0, 1
Suppose 159*w - 153*w - 23322 = -293*w. Find p such that 153/2*p + 3/2*p**2 - w = 0.
-52, 1
Let a(r) = 15*r**3 - 51*r**2 - 220*r - 56. Let h(u) = 210*u**3 - 715*u**2 - 3075*u - 785. Let l(j) = -55*a(j) + 4*h(j). Factor l(g).
5*(g - 6)*(g + 2)*(3*g + 1)
Suppose -86 = 539*f - 541*f. Suppose z = -40 + f. Factor -5/2*a**z + 5*a**2 + 10*a - 5/4*a**4 + 0.
-5*a*(a - 2)*(a + 2)**2/4
Let m(w) be the third derivative of 5*w**8/336 + w**7/42 - w**6/8 - w**5/12 + 5*w**4/12 - 744*w**2. Let m(f) = 0. What is f?
-2, -1, 0, 1
Let d(i) be the second derivative of -7/3*i**3 + 0 + i**2 + 11*i + i**4. Let d(l) = 0. What is l?
1/6, 1
Let l(s) be the third derivative of 0 + 0*s**4 + 2*s**2 + 1/4*s**5 + 0*s**3 + 11*s + 1/24*s**6. Suppose l(u) = 0. What is u?
-3, 0
Suppose 5*o = w + 25, -110 = -o - w - 117. Factor 9/4*m**2 + 0 - 7/2*m - 1/4*m**o.
-m*(m - 7)*(m - 2)/4
Suppose 0 = 5*y - x - 819, -3*y = -2*y - x - 167. Let m = y - 163. Factor -3/4*a**3 + 0*a + m + 1/4*a**4 + 0*a**2.
a**3*(a - 3)/4
Let u(q) be the second derivative of 2*q**7/21 + 8*q**6/3 + 249*q**5/20 - 731*q**4/12 + 503*q**3/6 - 105*q**2/2 + 4543*q. Determine l, given that u(l) = 0.
-15, -7, 1/2, 1
Let q(y) be the second derivative of -2048*y**3 - 65536*y**2 - 44*y - 32*y**4 - 1 - 1/5*y**5. Determine z so that q(z) = 0.
-32
Let c = -6 - -10. Find r, given that -51*r**2 - 41*r - 24*r**2 - 59*r + 15*r**2 + 145*r**3 + 15*r**c = 0.
-10, -2/3, 0, 1
Suppose 2*s = -3*o - 5 + 9, -3*o + 4*s = -28. Factor 2*r**3 - r**o + 112*r - 116*r + r**3.
-r*(r - 2)**2*(r + 1)
Let n be (-4)/2 + (-36)/(-27)*-3. Let b be 10/42 + 1/((-18)/n). Determine l, given that -2/7 - b*l + 4/7*l**3 + 2/7*l**2 = 0.
-1, -1/2, 1
Let g be (-34)/(-51) + 1923/(-9). Let d = g + 216. Factor 0*i**2 + 0*i - 2/3*i**4 - 2/3*i**d + 0.
-2*i**3*(i + 1)/3
Let h(x) = -150*x + 908. Let b be h(6). Let -40/3 + 4/3*m**3 + b*m**2 + 4*m = 0. What is m?
-5, -2, 1
Let x(k) = -10*k - 86. Let d be x(-9). Let q be (d/(-44))/((-66)/121). Factor 1/2*j**2 - q*j**4 + 4/3*j + 2/3 - 1/3*j**3.
-(j - 2)*(j + 1)**2*(j + 2)/6
Let x = 38 + -44. Let u be (42/(-60))/(x/15). Find r such that 3/4*r**3 - u*r - 5*r**2 + 0 = 0.
-1/3, 0, 7
Factor 626*z**3 + 30*z + 33*z**2 - 204*z**3 - 5*z**4 - 213*z**3 - 8*z**2 - 219*z**3.
-5*z*(z - 2)*(z + 1)*(z + 3)
Suppose -4*q - 13 = 5*o, -4*o + 77 = -2*q + 103. Let x be (2 - (-5)/q) + (-5)/3. Factor 0 + 1/9*j**x + 2/9*j.
j*(j + 2)/9
Let x(t) = 2*t**2 - 3*t - 8. Let v be x(-3). Let i(a) = a**2 - 19*a + 10. Let y be i(v). Factor 2 + 26*c**2 + y*c**2 - 16 + 10*c**3 + 24*c - 2.
2*(c + 2)**2*(5*c - 2)
Let k = 1072874/5 - 214574. Factor 1/5*l**3 - 4/5*l**2 + k - 1/5*l.
(l - 4)*(l - 1)*(l + 1)/5
Let b = 161 - 17. Factor -28 + b*h + 5*h**2 - 12 - 134*h.
5*(h - 2)*(h + 4)
Suppose 365*v - 70 = -5*q + 361*v, -4*q + 6*v - 82 = 0. Find f, given that -24/11 - 26/11*f - 2/11*f**q = 0.
-12, -1
Let z(h) be the second derivative of -h**6/210 - h**5/35 + h**4/4 + 6*h**3/7 - 54*h**2/7 - 34*h + 4. Solve z(s) = 0.
-6, -3, 2, 3
Factor -2/15*m - 106/15 + 106/15*m**2 + 2/15*m**3.
2*(m - 1)*(m + 1)*(m + 53)/15
Let n = -38528 + 38531. D