35*m**3 - 22*m**2 - 66*m + 2. Let s(w) = 15*w**4 - 176*w**3 + 109*w**2 + 333*w - 11. Let g(h) = -11*r(h) - 2*s(h). Factor g(l).
3*l*(l - 10)*(l - 2)*(l + 1)
Suppose 3*c = -5*c + 464. Suppose 77 = 5*j - c. Find n, given that 70*n**2 + 18*n + j - 131*n**2 + 64*n**2 = 0.
-3
Let l(w) = 7*w**2 - 142*w + 1159. Let n(j) = -67*j + 3478 - 158*j + 33*j**2 - 11*j**2 - 203*j. Let i(b) = -10*l(b) + 3*n(b). Factor i(g).
-4*(g - 17)**2
Let d(o) be the first derivative of -18*o**2 - o**3 - 4*o**3 + 6 + 9 + 4*o**3 + 3. Factor d(n).
-3*n*(n + 12)
Let j = -659 - -685. Suppose -21*v + 24*v - 5*n = j, 4*n = -v - 14. Determine l, given that 1/2*l**v + 1/2*l**4 + 0 + 0*l - l**3 = 0.
0, 1
Let w(a) be the second derivative of a**6/45 + a**5/120 - a**4/6 + 5*a**3/36 + a**2/6 - 213*a + 1. Factor w(r).
(r - 1)**2*(r + 2)*(4*r + 1)/6
Determine k, given that -4/3*k**2 - 1345600/3 - 4640/3*k = 0.
-580
Let j(t) be the first derivative of t**5/5 - 5*t**4/12 - 4*t**3/3 + 10*t**2/3 - 1714. Determine n, given that j(n) = 0.
-2, 0, 5/3, 2
Let d(i) be the first derivative of 1/60*i**5 + 2/3*i**2 + 8*i - 1/12*i**4 - 2 + 0*i**3. Let b(u) be the first derivative of d(u). Let b(a) = 0. What is a?
-1, 2
Let g be 11 + (-16)/2 + (-12193)/4065. Let k = g - -29266/4065. Factor -k - 132/5*w - 21/5*w**2.
-3*(w + 6)*(7*w + 2)/5
Let t(y) = y**3 + 26*y**2 + 104*y - 18. Let p be t(-21). Let c be (-434)/(-70) - (6/p - -4). Factor -1/5*m**3 - c*m**4 + 3/5*m**2 + 2/5 + m.
-(m - 2)*(m + 1)**3/5
Let k(l) = -6*l**2 + 5108*l - 1083734. Let t(b) = -2*b**2 + 1703*b - 361244. Let w(h) = 3*k(h) - 8*t(h). Factor w(x).
-2*(x - 425)**2
Let o(k) be the second derivative of 0*k**4 + 0*k**2 + 0 + 1/50*k**5 - 73*k + 0*k**3. Factor o(f).
2*f**3/5
Suppose 2*s - 237 = 4*s + a, -a + 126 = -s. Let t = s - -121. Solve -1/7*l**2 + 1/7*l + t = 0.
0, 1
Suppose 0*q + 2*u = -4*q + 6, 4*q + 4*u = 12. Let -6*s**2 - 4 - 2*s**3 + 9*s**3 + q*s + 9*s - 6*s**3 = 0. Calculate s.
1, 4
Let k be (450/(-20))/(635/(-508)). Factor -3/2*a**3 + 15 + k*a**2 - 63/2*a.
-3*(a - 10)*(a - 1)**2/2
Let s(b) be the first derivative of -b**6/12 - 17*b**5/30 - b**4/2 - 79*b**2/2 + 49. Let p(g) be the second derivative of s(g). Find l such that p(l) = 0.
-3, -2/5, 0
Let b be ((-21)/10)/((-1521)/2535). Factor 3*o**2 - 3/2*o**4 + 0 + 0*o + b*o**3.
-o**2*(o - 3)*(3*o + 2)/2
Suppose 84*v + 5 = 5. Let b(y) be the third derivative of y**2 + 0*y + v - 49/6*y**3 - 1/60*y**5 - 7/12*y**4. Factor b(d).
-(d + 7)**2
Let o = -27 + -51. Let t = o + 78. Factor t*n + 4/17*n**2 + 2/17*n**3 + 0.
2*n**2*(n + 2)/17
Suppose -31*c + 811 + 894 = 0. Suppose 1 + c = 28*j. Factor 2/3*p**3 + 0 + 2/3*p**5 - 4/3*p**4 + 0*p + 0*p**j.
2*p**3*(p - 1)**2/3
Let s(f) be the second derivative of f**6/195 - f**5/130 - 5*f**4/26 - 23*f**3/39 - 10*f**2/13 - 1780*f. Determine u so that s(u) = 0.
-2, -1, 5
Let a(k) = -808*k**3 + 822*k**2 - 2. Let l(h) = 1611*h**3 - 1645*h**2 - h + 5. Let j(v) = 5*a(v) + 2*l(v). Solve j(p) = 0.
0, 1/409, 1
Let s(b) be the third derivative of 5/54*b**4 - 2/9*b**3 + 5*b + 0 - 1/135*b**5 - 1/270*b**6 + 7*b**2. Determine h, given that s(h) = 0.
-3, 1
Let h(q) = -q**2 - 2*q - 7. Let o = -19 - -30. Let b(p) = -2*p**2 - 4*p - 13. Let k be 7 + (-4)/(-2) - 120/8. Let w(r) = k*b(r) + o*h(r). Solve w(u) = 0.
-1
Let j = -2952 + 2955. Let a(f) be the first derivative of -2*f**2 + 0*f**4 + 15 + 2/5*f**5 - 2*f**j + 0*f. Factor a(x).
2*x*(x - 2)*(x + 1)**2
Let g(r) be the second derivative of -r**7/18 + 107*r**6/90 - 34*r**5/5 - 29*r**4/9 + 1040*r**3/9 - 96*r**2 - 761*r. Let g(f) = 0. Calculate f.
-2, 2/7, 4, 9
Let w = -26 - -30. Suppose 5*y - 15 = -w*l, 6*l - 3*l = -5*y + 15. Factor -2/3*b + l + 2/3*b**2.
2*b*(b - 1)/3
Factor -204/5*i - 3/5*i**2 + 207/5.
-3*(i - 1)*(i + 69)/5
Suppose -8*x**2 - 376*x - 235 + 31*x**2 - 145 - 11*x**2 - 8*x**2 = 0. What is x?
-1, 95
Let o(j) be the second derivative of 11*j**4/54 + 59*j**3/9 + 166*j**2/9 + 1319*j. Factor o(a).
2*(a + 1)*(11*a + 166)/9
Suppose 0 = 5*p - 15*p + 2550. Factor -p*l**2 + 9*l**3 + 252*l**2 - 8*l + 2*l.
3*l*(l - 1)*(3*l + 2)
Let q = 6 + -6. Let j = 111 - 107. Factor 2*w - 2*w**3 + 0*w**3 + 4*w**2 + 0 + q*w**3 - j.
-2*(w - 2)*(w - 1)*(w + 1)
Factor 4*c**3 - 2028 + 1840*c + 506*c - 2036*c**2 + 728*c - 2*c + 988*c.
4*(c - 507)*(c - 1)**2
Let u(c) be the second derivative of c**4/18 - 17*c**3/9 + 14*c**2 - 2*c + 1730. Solve u(j) = 0 for j.
3, 14
Let w(u) be the third derivative of -u**5/40 - 24*u**4 - 191*u**3 - 3*u**2 - 21*u + 2. Factor w(r).
-3*(r + 2)*(r + 382)/2
Determine z so that -11*z**3 - 12*z**2 - 13 + 50 + 23 + 62*z + 10*z**3 - 13*z**3 = 0.
-2, -1, 15/7
Let h(u) = -7*u**3 - 178*u**2 - 352*u + 6. Let v(c) = 5*c**3 + 175*c**2 + 350*c - 5. Let t(i) = 5*h(i) + 6*v(i). Let t(x) = 0. What is x?
-2, 0, 34
Let z(j) be the first derivative of -1/3*j**3 + 1/15*j**5 + 2/3*j**2 - 1/6*j**4 + 4/3*j - 71. Factor z(y).
(y - 2)**2*(y + 1)**2/3
Let z be (10 - 114705/(-81)) + 1 + 1. Let q = 1429 - z. Find y such that 0*y - q + 2/9*y**2 = 0.
-2, 2
Let g = 44273 + -132817/3. Suppose -g*f**3 + 48 + 28/3*f**2 - 40*f = 0. What is f?
2, 6
Let t(f) be the second derivative of f**7/294 + 2*f**6/35 + 2*f**5/5 + 32*f**4/21 + 24*f**3/7 + 32*f**2/7 + 293*f. Factor t(l).
(l + 2)**4*(l + 4)/7
Let v = -473920/2601 + 124/289. Let b = v - -182. Factor -2/9*u**2 + b*u + 2/9 - 2/9*u**3.
-2*(u - 1)*(u + 1)**2/9
Let o = -128583 + 128583. Factor o + 4/5*n**2 - 68/5*n.
4*n*(n - 17)/5
Let m(r) = -3*r**2 - 13*r + 12. Suppose 15*i = -19*i - 170. Let a be m(i). Factor 4/9*p**a - 28/9*p + 8/3.
4*(p - 6)*(p - 1)/9
Find m such that 20/9*m**4 - 38/3*m**3 - 77/9*m + 0 + 172/9*m**2 - 1/9*m**5 = 0.
0, 1, 7, 11
Let c = -6962 - 3618. Let z be (-5152)/c + ((-8)/(-46))/(-2). Let 4/15*o**2 - z*o**4 + 2/15 - 2/15*o**5 + 2/5*o - 4/15*o**3 = 0. Calculate o.
-1, 1
Let v(d) be the first derivative of d**4/34 - 104*d**3/51 + 241*d**2/17 - 564*d/17 + 9264. Let v(z) = 0. Calculate z.
2, 3, 47
Factor 0 - 482/3*o - 2/3*o**2.
-2*o*(o + 241)/3
Let s be ((-1501)/2)/(-4 - 14/(-4)). Suppose 4*u**2 - s + 84*u + 1901 - 4*u = 0. Calculate u.
-10
Let y(z) be the second derivative of -z**6/180 + z**5/8 + z**4/3 - 8*z**3/3 - 2*z + 26. Let v(p) be the second derivative of y(p). Factor v(h).
-(h - 8)*(2*h + 1)
Let d be (5/(-25))/((-2)/140). Let q be 13/(273/d)*(-18)/(-7). Factor 3/7 + 9/7*t - q*t**2.
-3*(t - 1)*(4*t + 1)/7
Let p(y) = -129*y**3 + 2*y**2 - 3*y + 1. Let u be 4/8*-8 - -2. Let h be p(u). Let 1047 + 4*x**3 - h = 0. What is x?
0
Let g(v) = -7*v**2 - 1 + 3 + 1 - 19*v + 5*v**3. Let y = -820 + 821. Let s(m) = -m**3 + m**2 + m - 1. Let k(w) = y*g(w) + 3*s(w). Find u such that k(u) = 0.
-2, 0, 4
Let u = 528697 + -528695. Find d, given that -6/23 + 2/23*d - 2/23*d**3 + 6/23*d**u = 0.
-1, 1, 3
Let j(f) = f**5 + 38*f**4 + 90*f**3 + 94*f**2 - 73*f + 12. Let x(c) = 2*c**5 + 39*c**4 + 91*c**3 + 94*c**2 - 54*c + 11. Let q(v) = 5*j(v) - 6*x(v). Factor q(n).
-(n + 1)**3*(n + 3)*(7*n + 2)
Suppose 3*i - 273 = -10*i. Factor -q**4 - 19*q**2 + 6*q**2 - 14*q**2 - 6 - 2*q**4 + i*q + 15*q**3.
-3*(q - 2)*(q - 1)**3
Suppose 30*r**2 + 36000 + 1800*r + 1/6*r**3 = 0. What is r?
-60
Let l(w) be the third derivative of -w**5/75 + 2*w**4/5 + 56*w**3/15 + 6*w**2 - 30. Factor l(h).
-4*(h - 14)*(h + 2)/5
Let n be (-40)/(-27 - 3810/(-180)). Factor -8/7 + n*r + 50/7*r**3 - 90/7*r**2.
2*(r - 1)*(5*r - 2)**2/7
Let u(w) be the first derivative of 12 - 3/10*w**2 + 1/20*w**4 + 2/5*w + 0*w**3. Determine k, given that u(k) = 0.
-2, 1
Let h = 152696 - 152642. Factor -3/8*p**5 + 0 + 75/8*p**4 - 63*p**3 + 0*p + h*p**2.
-3*p**2*(p - 12)**2*(p - 1)/8
Let a(d) = -19*d**3 + 31*d**2 - 35*d - 2. Let x = -542 - -557. Let i(g) = 9*g**3 - 16*g**2 + 17*g. Let q(f) = x*i(f) + 6*a(f). Let q(v) = 0. Calculate v.
4/7, 1
Let a(i) be the third derivative of i**8/60 + 4*i**7/105 + i**6/90 - 20*i**3 + i**2 + 2. Let v(d) be the first derivative of a(d). Factor v(h).
4*h**2*(h + 1)*(7*h + 1)
Let w(o) be the second derivative of 3*o**5/140 - 17*o**4/28 + 22*o**3/7 - 6*o**2 - 6447*o. Let w(s) = 0. Calculate s.
1, 2, 14
Suppose 2*g + 120 = 40. Let u be -8 + g/(-105)*24. Factor -u - 44/7*d**2 + 52/7*d.
-4*(d - 1)*(11*d - 2)/7
Let z(a) be the third derivative of a**6/240 - 37*a**5/15 + 3391*a**2. Factor z(l).
l**2*(l - 296)/2
Let l = -300 + 248. L