)). Let m be 96/105 - (-4)/5. Factor -m*o**2 + 2/7*o**w + 24/7*o - 16/7.
2*(o - 2)**3/7
Let z(u) be the second derivative of -6*u**2 - 8*u + 0 + 3/2*u**3 + 1/4*u**4. Factor z(c).
3*(c - 1)*(c + 4)
Suppose -l - 3*u = 2*u - 25, 8 = 2*u. Let b(m) = -4*m**3 - 8*m**2 - 6*m. Let r(q) = -3*q**3 - 7*q**2 - 5*q. Let s(o) = l*b(o) - 6*r(o). Factor s(c).
-2*c**2*(c - 1)
Let z(l) be the third derivative of l**6/120 + 82*l**5/75 + 193*l**4/120 - 13*l**3/3 - 901*l**2. Find b such that z(b) = 0.
-65, -1, 2/5
Let y = 439/872 + -3/872. Factor 0 - 1/2*k**3 + k + y*k**2.
-k*(k - 2)*(k + 1)/2
Let b(u) = u**3 - 3*u**2 + 5*u - 4. Suppose 1 = -2*p - c - 4*c, -3*p - 3*c = -3. Let q be b(p). Let -5 - 4 + 5 + 3*i**q + 1 = 0. Calculate i.
-1, 1
Let z be 125/(-750) - (-3)/2. Let r(f) be the first derivative of 16*f + z*f**3 - 10 + 10*f**2. Solve r(u) = 0.
-4, -1
Suppose -13 = -5*u + i, -2*i + 7 = -4*u - 7*i. Factor 2*n**4 + 6*n - 2 - u - 6*n**3 - 4*n**2 + 6*n**2.
2*(n - 2)*(n - 1)**2*(n + 1)
Let d(z) be the second derivative of -z**8/336 + z**6/120 + 3*z**2/2 - 21*z. Let w(n) be the first derivative of d(n). Find g, given that w(g) = 0.
-1, 0, 1
Let u(i) be the third derivative of i**6/180 + i**5/20 + i**4/6 - 7*i**3/6 - 23*i**2. Let v(q) be the first derivative of u(q). Suppose v(n) = 0. What is n?
-2, -1
Let y(t) be the third derivative of -t**8/840 - t**7/105 - t**6/50 + 2*t**2 - 75*t. Factor y(x).
-2*x**3*(x + 2)*(x + 3)/5
Suppose 8*p = -p - 297. Let k = 37 + p. Determine s so that 1/3*s**k + 0*s**2 + 2/3*s**3 - 1/3 - 2/3*s = 0.
-1, 1
Factor -16*g**2 - 8*g**2 + 14*g**4 - 18*g**4 - 32*g + 28 + 32*g**3.
-4*(g - 7)*(g - 1)**2*(g + 1)
Let h be 60/(-36) - (-20)/3. Suppose -h*d = 5*z - 35, 0*z - z + 5 = 0. Factor 0 + 4/7*j**d - 4/7*j**3 + 0*j.
-4*j**2*(j - 1)/7
Let x(i) = 7*i + 102. Let l be x(-14). Suppose o + o + 2*s = 20, 5*s - 18 = -o. Factor 7 + l - o*g + 2 - 5 + 2*g**2.
2*(g - 2)**2
Let r = 757 - 751. Let x(j) be the first derivative of 10/7*j**3 - 4 + 1/14*j**r - 6/35*j**5 - 15/28*j**4 - 24/7*j + 6/7*j**2. What is c in x(c) = 0?
-2, -1, 1, 2
Factor -5/4*g**3 + 1/2*g + 3/4*g**2 + 0.
-g*(g - 1)*(5*g + 2)/4
Factor -2/5*s**2 + 8/5*s + 42/5.
-2*(s - 7)*(s + 3)/5
Suppose -18 = -s - 4*u, 2*u + 3*u - 14 = 3*s. Suppose 26*o**2 + 30 + 16*o**2 + 9*o**2 - 145*o - 6*o**s = 0. What is o?
2/9, 3
Suppose 8*q - 4*l - 60 = 0, -q = -11*l + 8*l - 30. Determine n, given that 3/2*n**q + 0*n**2 + 3/2*n**5 + 0*n + 0 - 3*n**4 = 0.
0, 1
Let x(n) be the second derivative of -3*n**2 + 0 - 9/4*n**3 + 4*n + 1/240*n**6 - 3/40*n**5 + 9/16*n**4. Let j(m) be the first derivative of x(m). Factor j(q).
(q - 3)**3/2
Let q(p) = -p**3 + 9*p**2 + 4*p - 11. Let d be q(9). Let o = 32 - d. Solve 4*w**3 + 4*w - w**2 + 3*w**2 - o*w**2 - 3*w**2 = 0.
0, 1
Let r(z) be the third derivative of -z**7/420 + 9*z**6/80 - 63*z**5/40 + 171*z**4/16 - 81*z**3/2 + 178*z**2. Factor r(l).
-(l - 18)*(l - 3)**3/2
Let r(a) be the second derivative of -a**7/98 - 33*a**6/70 - 279*a**5/140 - 13*a**4/4 - 15*a**3/7 - a - 16. Factor r(s).
-3*s*(s + 1)**3*(s + 30)/7
Solve 38/5*t + 361/5 + 1/5*t**2 = 0 for t.
-19
Let h = 34 - 21. Suppose s - 18 = 3*f, s - 41 = 5*f - h. Factor -2/5*w + 0 + 4/5*w**2 - 2/5*w**s.
-2*w*(w - 1)**2/5
Suppose 16 = -4*i, -42 + 12 = -5*p + 5*i. Let g(d) be the third derivative of 0*d - 6*d**p + 9/8*d**3 - 3/16*d**4 + 1/80*d**5 + 0. Suppose g(k) = 0. What is k?
3
Let s be (((-3)/(-27))/(2/4))/(7/18). Suppose -2/7*u**4 - 2/7*u**5 + s*u**2 - 2/7 + 4/7*u**3 - 2/7*u = 0. What is u?
-1, 1
Let w(l) = -6*l - 31. Let p be w(-6). Let m(q) be the first derivative of -1/4*q**4 - 2/5*q**5 + 0*q + 0*q**2 + 0*q**3 - p. Let m(s) = 0. Calculate s.
-1/2, 0
Let h(j) = 12*j**5 - 68*j**4 + 88*j**3 - 40*j**2 + 8. Let q(r) = -8*r**5 + 45*r**4 - 59*r**3 + 27*r**2 - 5. Let t(n) = 5*h(n) + 8*q(n). Factor t(f).
-4*f**2*(f - 2)**2*(f - 1)
Solve -2738/5 + 148/5*u - 2/5*u**2 = 0 for u.
37
Suppose -12 = 3*a + a. Let g(h) = 3*h**2 + 5*h + 2. Let d be g(a). Solve 23*o - 3*o**2 + 0*o**2 - d*o**3 + 4 - 9*o - o**2 = 0 for o.
-1, -2/7, 1
Let k be (-6)/33 - 7820/(-55). Let u = -990/7 + k. Suppose -2/7 - 2/7*o**4 + u*o**2 + 2/7*o**5 + 2/7*o - 4/7*o**3 = 0. Calculate o.
-1, 1
Suppose -116 = 4*p + 5*v - 88, 4*p - 20 = v. Determine l so that 2/13 - 2/13*l**2 + 2/13*l**p - 2/13*l = 0.
-1, 1
Let b(y) be the first derivative of -2*y**3/27 + 56*y**2/9 + 232*y/9 - 1020. What is i in b(i) = 0?
-2, 58
Let v(m) = m**2 - 6*m + 9. Let r be v(3). Suppose r = 5*o + 3*b - 13, o + 0*b + b = 3. What is j in 1/5*j + 27/5*j**5 + 0 + 54/5*j**4 + 2*j**o + 36/5*j**3 = 0?
-1, -1/3, 0
Suppose -2*t + 3*t = 3. Suppose 2*g = -5*f + 23, -t*f + 0*f = -g - 5. Solve 6*r**4 - 2*r**2 + g*r**5 + 3*r**4 - 3*r**4 = 0.
-1, 0, 1/2
Let d be -13 - (-9)/((-6)/(-2)). Let b = d - -7. Let f(l) = 6*l - 3. Let g(m) = m**2 + 7*m - 4. Let q(j) = b*g(j) + 4*f(j). Factor q(r).
-3*r*(r - 1)
Let u be 2*(0 - -4) - -1. Find t, given that -3 - 8*t**3 + u*t**2 + 5*t**3 - 6*t**4 + 0*t**2 + 3*t = 0.
-1, 1/2, 1
Let v(n) be the first derivative of 8/3*n**3 + 6/5*n**5 + 13/4*n**4 + 0*n + 1/2*n**2 - 11. Determine f, given that v(f) = 0.
-1, -1/6, 0
Let q = -1 + 19/16. Let j(v) be the second derivative of 1/16*v**5 + v - 1/120*v**6 - 1/4*v**2 - q*v**4 + 0 + 7/24*v**3. Determine h so that j(h) = 0.
1, 2
Let z be (-47)/15 + 4/30. Let y(b) = -b**3 - 2*b**2 + b - 3. Let v be y(z). Factor l**4 + 2*l - l**v - 3*l**3 + 2*l**3 - 1.
(l - 1)**3*(l + 1)
Let z(m) = 2*m**2 - 8*m - 20. Let g be z(-2). Let y be 6*(-5)/(-30)*g. Factor 2/3*k**2 + 1/3*k**5 - 1/3*k + 0*k**3 + 0 - 2/3*k**y.
k*(k - 1)**3*(k + 1)/3
Let m(d) be the third derivative of -d**7/105 - d**6/15 - d**5/5 - d**4/3 - d**3/3 - 26*d**2. Determine o, given that m(o) = 0.
-1
Let i be -2 + (-84)/714 + 3/(-459)*-460. Determine h, given that -i*h**2 + 0 - 2/9*h**3 - 2/3*h = 0.
-3, -1, 0
Let y(a) be the first derivative of 9*a**5/35 + 15*a**4/14 + 3*a**3/7 - 25. Suppose y(i) = 0. What is i?
-3, -1/3, 0
Let q(g) = g**3 + 4*g**2 + g - g**2 - 2*g**3 + 4 - 5. Let a be q(3). Determine c, given that 1/5*c**a + 0 + 0*c = 0.
0
Let b(t) be the first derivative of 3*t**5/5 + 33*t**4/20 + 7*t**3/5 + 3*t**2/10 - 9. Suppose b(y) = 0. Calculate y.
-1, -1/5, 0
Let a(h) = -5*h**2 - 136*h - 4488. Let d(r) = 4*r**2 + 2*r - 1. Let x(v) = 2*a(v) + 2*d(v). Determine f so that x(f) = 0.
-67
Let c(x) = x**5 - x**4 - x**3 + x + 1. Let v(a) = 8*a**5 + 7*a**4 + 2*a**3 + 3*a + 3. Let t(k) = -3*c(k) + v(k). Suppose t(u) = 0. Calculate u.
-1, 0
Suppose 5*t - k = 4*k + 10, 3*k + 4 = 2*t. Determine o so that o + 5*o**2 - 11*o**2 + 11*o**t - 6*o = 0.
0, 1
Let z(w) be the first derivative of -w**7/280 + w**6/60 + 17*w**3/3 - 15. Let h(m) be the third derivative of z(m). Determine b, given that h(b) = 0.
0, 2
Let d(l) be the first derivative of 5*l**3/3 + 395*l**2 + 31205*l + 47. Factor d(o).
5*(o + 79)**2
Suppose -3*j + 31 = 19. Factor -47*t**4 - j*t**3 - 41*t**4 + 84*t**4.
-4*t**3*(t + 1)
Suppose 3*u + 10 = -5. Let w be u*(1 - (2 - 0)). Factor 6*z**2 - 9*z**4 - 3*z + 3*z**w + 3*z**4 - z**3 + z**3.
3*z*(z - 1)**3*(z + 1)
Let c(h) = -88*h**4 + 72*h**3 + 656*h**2 + 264*h - 28. Let d(p) = 16*p**4 - 13*p**3 - 119*p**2 - 48*p + 5. Let r(l) = -5*c(l) - 28*d(l). Factor r(g).
-4*g*(g - 3)*(g + 2)*(2*g + 1)
Suppose 131 = 37*h + 20. Factor 0 - 1/4*g**2 + 1/4*g**h - 1/2*g.
g*(g - 2)*(g + 1)/4
Suppose 0*h = -4*h - 3*n + 27, 0 = 5*h - 4*n + 5. Let q be -7 - (-20)/h - (-11)/15. Find l, given that -2/5*l**3 - q*l + 6/5*l**4 + 0 - 6/5*l**2 + 4/5*l**5 = 0.
-1, -1/2, 0, 1
Let m(b) be the second derivative of b**6/45 - b**5/3 + 29*b**4/18 - 32*b**3/9 + 4*b**2 + 313*b. Factor m(g).
2*(g - 6)*(g - 2)*(g - 1)**2/3
Let o(g) be the first derivative of -5/3*g**3 - 1/5*g**5 + 33 + 0*g + g**2 + g**4. Factor o(y).
-y*(y - 2)*(y - 1)**2
Let i(b) be the first derivative of -b**3/9 + 9*b**2 - 243*b + 88. Factor i(v).
-(v - 27)**2/3
Let a(t) be the second derivative of t**4/66 - 40*t**3/33 + 400*t**2/11 - 3*t - 3. Factor a(m).
2*(m - 20)**2/11
Let c(p) be the second derivative of 3*p**5/140 + 33*p**4/7 + 2904*p**3/7 + 127776*p**2/7 + 26*p. Factor c(g).
3*(g + 44)**3/7
Let 4*m**3 - 2*m**5 - 6*m**4 + 18*m**4 - 12*m**2 + 6*m**5 - 8*m = 0. Calculate m.
-2, -1, 0, 1
Let j(w) be the third derivative of -w**7/1960 - w**6/168 + 7*w**3/2 