1)*(a + 1)/4
Let u(i) be the third derivative of -7*i**5/40 + 5*i**4/8 - 3*i**3/4 - i**2 - 30. Factor u(q).
-3*(q - 1)*(7*q - 3)/2
Let q(f) = 2*f**2 + 17*f - 6. Let j be q(-9). Let r(x) be the second derivative of -3/8*x**4 + 0 + 0*x**j + 0*x**2 + 3/40*x**5 - 3*x. Factor r(p).
3*p**2*(p - 3)/2
Let 38/3*m**3 + 0 + 8/3*m**4 + 56/3*m**2 + 8*m = 0. Calculate m.
-2, -3/4, 0
Let w(i) be the second derivative of i**5/150 + 29*i**4/90 + i + 307. Solve w(u) = 0 for u.
-29, 0
Let z(t) be the second derivative of -5*t**4/12 + 5*t**3 + 40*t**2 - 17*t + 3. Factor z(u).
-5*(u - 8)*(u + 2)
Let n(m) be the second derivative of -m**4/12 - 3*m**2 + 4*m. Suppose 0 = -a - 0 + 6. Let x(u) = 1. Let y(p) = a*x(p) + n(p). Let y(b) = 0. Calculate b.
0
Let v = 155/219 + -3/73. Let p(y) = -y**3 + 15*y**2 - 13*y - 14. Let o be p(14). Let 2/3*z - v*z**2 + o = 0. Calculate z.
0, 1
Let b = -6710 + 100652/15. Determine c, given that 4/15*c**3 + 0 + b*c**4 + 2/15*c**2 + 0*c = 0.
-1, 0
Let l(u) = -10*u**3 - 29*u**2 - 9*u. Let q(v) = -5*v**3 - 14*v**2 - 4*v. Let i(x) = -4*l(x) + 9*q(x). Factor i(a).
-5*a**2*(a + 2)
Let r(o) be the third derivative of o**5/80 - 95*o**4/32 - 614*o**2. Factor r(y).
3*y*(y - 95)/4
Let q(s) be the first derivative of s**8/1008 - s**7/126 + s**6/45 - s**5/45 + s**2 + 16. Let g(v) be the second derivative of q(v). Solve g(i) = 0.
0, 1, 2
Let m(j) be the first derivative of 2*j**6/15 - 4*j**5/5 + 4*j**4/3 - 5*j + 21. Let y(k) be the first derivative of m(k). Factor y(n).
4*n**2*(n - 2)**2
Suppose 2*m + 4*a - a = 22, -m - 5*a + 25 = 0. Let v be (m*(-24)/(-140))/(8/14). Factor -1/2 - d**2 + v*d.
-(d - 1)*(2*d - 1)/2
Let i(b) be the first derivative of 1/4*b**4 + 7/10*b**2 + 2/5*b + 3/5*b**3 + 2 + 1/25*b**5. Let i(u) = 0. What is u?
-2, -1
Let u(q) = -q**3 - 14*q**2 + q + 18. Let t be u(-14). Let 90*y**3 + 55*y**t - 20*y**4 + 20*y**5 - 80*y**3 - 5*y**2 = 0. What is y?
-1, 0, 1/4
Let b(f) be the third derivative of f**6/24 + 13*f**5/4 + 84*f**2. Solve b(r) = 0 for r.
-39, 0
Solve 5*u**2 - 45/2 - 15/4*u + 5/4*u**3 = 0 for u.
-3, 2
Let -29*l**2 - 1413*l - l**3 - 12008989 - 18190*l - 137720*l - 658*l**2 = 0. Calculate l.
-229
Let -648 - 26*a**2 + 20/3*a**3 - 2/9*a**4 - 360*a = 0. What is a?
-3, 18
Find b, given that -2/3*b**5 - 2*b**3 + 0*b + 2*b**4 + 0 + 2/3*b**2 = 0.
0, 1
Suppose 4*i + 34 = 86. Factor -180 - 18*t**2 + i*t**2 + 60*t + 0*t**2.
-5*(t - 6)**2
Let h be 4 + (2/6)/(55/(-660)). Factor 4*s**3 + 3*s**4 + h + 4/3*s**2 + 0*s.
s**2*(3*s + 2)**2/3
Suppose 3*l**3 + 58*l**2 - 123*l**4 + 96*l**4 + 17*l**2 + 44*l**3 + l**5 = 0. Calculate l.
-1, 0, 3, 25
Let i be 1192/745 - (-3)/20. Factor 13/2*u**2 - 25/4*u**3 + 0 + i*u**4 - 2*u.
u*(u - 2)*(u - 1)*(7*u - 4)/4
What is z in -234 + 210*z**2 + 1980*z - 882 + 5*z**3 - 3362 - 362 = 0?
-22, 2
Let p = -92 - -89. Let n be p/(-9)*12/10. Factor 2/5*j**3 - n*j + 0 + 0*j**2.
2*j*(j - 1)*(j + 1)/5
Suppose 4*p - 12 = -5*a, 5*a = -3*p + 6*a + 28. Find o such that 16 + 54*o**2 - 66*o**2 + 32*o - 9*o**3 - p*o**4 - 9*o**3 - 10*o**3 = 0.
-2, -1/2, 1
Let q = 3 + -3. Suppose -4*r = h - 2, 2*h - h + 3*r - 2 = q. Factor 8 - 50*o**3 + 32*o - o**2 + 13*o**2 - h*o**2.
-2*(o - 1)*(5*o + 2)**2
Factor -4*h**5 + 6*h**3 - 2*h**3 + 8 + 49*h + 4*h**3 - 21*h + 32*h**2 - 8*h**4.
-4*(h - 2)*(h + 1)**4
Factor -m**2 + 1/2*m + 0 + 1/2*m**3.
m*(m - 1)**2/2
Let y(m) be the first derivative of -5/6*m**6 + 0*m**2 + 0*m + 27 + 0*m**3 + 2*m**5 - 5/4*m**4. Solve y(j) = 0 for j.
0, 1
Factor 88/3*s**2 - 1936/3*s + 42592/9 - 4/9*s**3.
-4*(s - 22)**3/9
Let a = 21 - 16. Suppose -2 = a*m - 3*t, 3*m - t - 3*t = -10. Factor 3/5*i**4 + 0 - 3/5*i**3 + 0*i + 0*i**m.
3*i**3*(i - 1)/5
Let q(d) be the third derivative of 0*d - 9*d**2 + 1/6*d**4 + 1/3*d**3 + 0 + 1/30*d**5. Factor q(p).
2*(p + 1)**2
Let g(h) = 5*h**2 + 40*h + 80. Let p(w) = w**2 + 8*w + 16. Let a = -6 - -8. Let i(o) = a*g(o) - 11*p(o). Factor i(b).
-(b + 4)**2
Let b(g) be the first derivative of 0*g**4 - 2*g**3 + 0*g + 1/2*g**6 - 3/2*g**2 + 6/5*g**5 - 3. Suppose b(t) = 0. Calculate t.
-1, 0, 1
Let q(o) be the third derivative of 0 + 1/3*o**3 + 0*o + 10*o**2 - 1/12*o**5 - 1/8*o**4. Find c such that q(c) = 0.
-1, 2/5
Let g be ((-162)/(-63))/((-3)/(-14)). Suppose 18 = 4*z + 5*o, 2*z + 5*o - g = o. Let 4/9 - 2/3*m + 2/9*m**z = 0. What is m?
1, 2
Let t(w) be the second derivative of w**5/15 + 7*w**2/2 + 24*w. Let y(c) be the first derivative of t(c). Find i such that y(i) = 0.
0
Determine z, given that 2/11*z**2 + 80/11*z + 800/11 = 0.
-20
Let f(m) be the second derivative of -m**6/1080 - m**5/360 + 2*m**3/3 + 2*m. Let x(u) be the second derivative of f(u). Solve x(y) = 0 for y.
-1, 0
Let w(o) = 8*o**3 - 2*o - 14 - 3*o**2 + 9*o**2 - 12*o. Let i(n) = -3*n**3 - 2*n**2 + 5*n + 5. Let f(g) = 14*i(g) + 5*w(g). Find s such that f(s) = 0.
0, 1
Let u(g) be the second derivative of g**6/10 + 3*g**5/10 - g**4 - g**3 + 9*g**2/2 + 26*g + 2. Factor u(h).
3*(h - 1)**2*(h + 1)*(h + 3)
Find q, given that 3/4*q**3 + 0*q**2 - 27/4*q + 0 = 0.
-3, 0, 3
Factor 0 - 4/3*a**5 - 28/3*a**4 - 20/3*a**2 - 44/3*a**3 + 0*a.
-4*a**2*(a + 1)**2*(a + 5)/3
Suppose 3*f = -5*t + 30, -4*f - 3*t + 29 = -11. Suppose 14 = 2*d + f. Factor 4/7*k + 0 - 2/7*k**d.
-2*k*(k - 2)/7
Let k = -3 + 7. Suppose 0*b**k - 2*b**2 + 3 + 4*b**4 - 3*b**4 - 2 = 0. Calculate b.
-1, 1
Suppose -5*q + 12 = 2. Suppose c - 3 = q. Factor -31*z - 28*z**3 - 44*z**2 - 6*z**2 - 4 + c*z.
-2*(z + 1)*(2*z + 1)*(7*z + 2)
Let w = 197 - 257. Let i = w - -62. Let 8/3*a + 42*a**5 + 8/3*a**i + 0 - 16*a**4 - 94/3*a**3 = 0. What is a?
-2/3, -2/7, 0, 1/3, 1
Let -36/7*a - 12 + 3/7*a**2 = 0. What is a?
-2, 14
Let -1/2 + 13/2*q**2 + 11/4*q**3 + 1/4*q - 3*q**4 = 0. Calculate q.
-1, -1/3, 1/4, 2
Let r(c) = c**2 - 2. Let n(p) = p**2 - 149*p + 146. Let k(y) = -n(y) + 2*r(y). Factor k(o).
(o - 1)*(o + 150)
Factor -m**5 - 371*m**2 + 647*m**2 - 323*m**2 + 24*m + 36 - 23*m**3 + 11*m**4 + 0*m**5.
-(m - 6)**2*(m - 1)*(m + 1)**2
Let w = -125/3 - -43. Suppose -51*s = 13*s. Determine j, given that 8/3*j**3 + 10/3*j**2 + s - w*j - 8*j**4 = 0.
-2/3, 0, 1/2
Let o = 11425/2 - 5712. Factor 0*s + 2*s**3 + 0*s**2 + 0 + o*s**4.
s**3*(s + 4)/2
Let i be 42/84 - 6/(-4). Let s(l) be the first derivative of -1/21*l**3 - 1/14*l**i - 2 + 1/28*l**4 + 1/7*l. Solve s(m) = 0 for m.
-1, 1
Suppose 7*l - 4*l - 321 = 0. Let t = -641/6 + l. Solve -t*i + 4/3*i**2 + 0 - 8/3*i**3 = 0.
0, 1/4
Let d = 8 + -8. Suppose -3*s - 1 + 22 = d. Factor 2 - s*a**2 - 2 + a - 3*a.
-a*(7*a + 2)
Let j(d) be the first derivative of 0*d + 3/4*d**4 - 3*d**3 + 3*d**2 + 16. Factor j(f).
3*f*(f - 2)*(f - 1)
Let b(z) be the second derivative of -z + 3 + 1/15*z**3 - 1/90*z**4 - 2/15*z**2. What is r in b(r) = 0?
1, 2
Let k(v) = -8*v**4 - 2*v**3 + 38*v**2 - 12*v. Let o(j) = -j**4 - j**2 - 2*j. Let q(t) = -k(t) - 4*o(t). Factor q(m).
2*m*(m - 1)*(m + 2)*(6*m - 5)
Suppose 5*j + 4*m - 5 = -m, 27 = 3*j - 5*m. Find u, given that 0 + 2*u + 0*u - 4*u**2 - j + 8 - 2*u**3 = 0.
-2, -1, 1
Let v(h) be the third derivative of -h**8/10080 + h**7/945 - h**6/270 - h**4/6 + 11*h**2. Let o(p) be the second derivative of v(p). Solve o(b) = 0 for b.
0, 2
Suppose -2*l + 8 = -3*j, 457*j = 453*j - 3*l + 29. Suppose -1/2*y**j + 1/4*y**4 + 1/4 - 1/4*y - 1/4*y**5 + 1/2*y**3 = 0. What is y?
-1, 1
Let n(h) be the second derivative of -3*h**5/20 + 9*h**4/4 - 10*h**3 + 18*h**2 + 2*h + 13. Factor n(i).
-3*(i - 6)*(i - 2)*(i - 1)
Factor 2/13*i**2 + 14/13*i + 20/13.
2*(i + 2)*(i + 5)/13
Let n(l) be the second derivative of -49*l**4/2 + 21*l**3 - 27*l**2/4 + 59*l. Determine g, given that n(g) = 0.
3/14
Let p(d) = -2*d**2 - 2. Let n(w) = -5*w**5 - 30*w**4 - 10*w**3 + 234*w**2 + 495*w + 264. Let r(o) = n(o) - 3*p(o). Find s, given that r(s) = 0.
-3, -2, -1, 3
Let j = 9118 + -45588/5. Factor -2 - j*v**2 + 12/5*v.
-2*(v - 5)*(v - 1)/5
Suppose 12*v + 70 = 11*v. Let m be -5*4/v + 9/42. Determine c so that 0 - 1/4*c + m*c**2 = 0.
0, 1/2
Let d(w) be the first derivative of -w**5/15 - 8*w**4/3 - 128*w**3/3 + 6*w**2 - 9. Let a(z) be the second derivative of d(z). Solve a(s) = 0 for s.
-8
Let s(v) = -4*v**4 - v**3 - 7*v - 4. Let g(m) = -3*m**4 + m**2 - 6*m - 4. Let t(a) = 3*g(a) - 2*s(a). Factor t(j).
-(j - 2)**2*(j + 1)**2
Let l be (-13)/2*(-149 + -1). Solve -10*u**3 + 35*u**3 + 50*u**2 - 5*u**5 -