mine h, given that b(h) = 0.
55
Let c(t) be the second derivative of 0 + 3/160*t**5 + 15*t - 1/240*t**6 - 1/32*t**4 + 0*t**2 + 1/48*t**3. Factor c(i).
-i*(i - 1)**3/8
Let n = 9 - 6. Let o(i) = 3*i**2 + 5*i - 3. Let x(d) = 2*d**2 + 3*d - 2. Let b(v) = n*o(v) - 5*x(v). Factor b(y).
-(y - 1)*(y + 1)
Let d(c) be the second derivative of 0 + c**4 - 1/10*c**6 + 17*c - 4*c**3 + 0*c**2 + 3/10*c**5. Factor d(k).
-3*k*(k - 2)**2*(k + 2)
Let s(p) be the third derivative of p**5/60 - p**4/3 - 65*p**3/6 + 817*p**2. Factor s(r).
(r - 13)*(r + 5)
Suppose -3*x - 3*r + 24 = 0, -2*x + x + 5 = 2*r. Let 8*q**4 + 21*q + 10*q + 36*q**2 + 4 + 28*q**3 - x*q = 0. Calculate q.
-1, -1/2
Let m be 4/(-2) + 135 + -7. Let z = m + -124. Factor -33/5*u**z + 0 - 48/5*u**3 - 21/5*u**4 - 6/5*u.
-3*u*(u + 1)**2*(7*u + 2)/5
Let t(l) be the first derivative of -3/4*l**2 - 1/4*l**3 - 3/4*l - 11. Solve t(u) = 0 for u.
-1
Factor -4 - 10 + 3*y**2 - 16*y - 4*y**2 - y**2 + 0*y**2.
-2*(y + 1)*(y + 7)
Let u(p) be the third derivative of 0 - 1/15*p**3 + 0*p + 0*p**4 + 15*p**2 + 1/150*p**5. Suppose u(a) = 0. What is a?
-1, 1
Suppose 2 = -5*o + 4*d, 2*o + 12 = 5*o + 2*d. Suppose -3*j + 3 = -o*j. Factor -55*p**j + 0*p**5 + 57*p**3 - 2*p**5.
-2*p**3*(p - 1)*(p + 1)
Let k(x) be the second derivative of 0 - 1/42*x**4 - 1/7*x**3 + 18*x - 2/7*x**2. Factor k(t).
-2*(t + 1)*(t + 2)/7
Let f(d) be the third derivative of 2*d**7/175 + 17*d**6/300 - 33*d**5/50 + 22*d**4/15 - 4*d**3/5 + 411*d**2. Let f(v) = 0. Calculate v.
-6, 1/6, 1, 2
Let l(q) be the second derivative of 4*q + q**3 + 0 - 1/4*q**4 + 0*q**2. Factor l(u).
-3*u*(u - 2)
Let o = 59/60 + -5/6. Let j(s) be the first derivative of 0*s**2 - 1/4*s + 5 - 1/2*s**4 + 1/2*s**3 + o*s**5. Solve j(n) = 0 for n.
-1/3, 1
Let 116/9 - 62/9*d + 2/9*d**2 = 0. Calculate d.
2, 29
Let x(f) be the first derivative of 15*f**4/4 - 14*f**3/3 - 9*f**2/2 - 37. Let v(m) = 30*m**3 - 29*m**2 - 19*m. Let d(z) = -4*v(z) + 9*x(z). Factor d(i).
5*i*(i - 1)*(3*i + 1)
Let t(c) = -c - 14. Let r be t(-16). Let g be (-2)/(-4)*(8 + r). Factor 2*f**3 + 2/3*f**g + 2*f**4 + 0*f + 2/3*f**2 + 0.
2*f**2*(f + 1)**3/3
Let c = 1303 + -1301. Factor 3/2*r - 3/2*r**3 - 3/2*r**c + 3/2.
-3*(r - 1)*(r + 1)**2/2
What is k in 6*k**2 + 4*k**2 - 80*k + 291 - 5*k**2 - 216 = 0?
1, 15
Suppose -3*l + 260 = 4*m + 82, 4*l + 2*m = 244. Let i = l + -60. Factor 63*d**i + 3/2 - 81/2*d**4 + 33/2*d + 81*d**3 - 243/2*d**5.
-3*(d - 1)*(3*d + 1)**4/2
Let f(n) be the third derivative of n**7/630 + n**6/180 - 7*n**5/180 + n**4/18 - 171*n**2. Determine j, given that f(j) = 0.
-4, 0, 1
Factor 380/7*c**2 + 4/7*c**3 + 8832/7*c - 9216/7.
4*(c - 1)*(c + 48)**2/7
Suppose 5*w - 35 = 4*m, -4*w + 12 = -m - 5. Let t(s) be the first derivative of -2*s**2 + 2 - 10/3*s**w + 0*s. Suppose t(l) = 0. What is l?
-2/5, 0
Let k(g) be the first derivative of g**3/24 + 3*g**2/16 - g/2 - 55. Factor k(v).
(v - 1)*(v + 4)/8
Let a(d) be the third derivative of -d**7/420 + d**6/60 - d**5/120 - d**4/8 - 28*d**2 + 5*d. Factor a(u).
-u*(u - 3)*(u - 2)*(u + 1)/2
Let o = -60 - -28. Let i = -28 - o. Suppose 0*s**2 + 2/3 - 2/3*s**i - 4/3*s**3 + 4/3*s = 0. What is s?
-1, 1
Let m(y) = -3*y**4 + 27*y**3 - 53*y**2 + 32*y - 8. Let r(p) = 8*p**4 - 68*p**3 + 132*p**2 - 80*p + 20. Let z(q) = -12*m(q) - 5*r(q). Factor z(x).
-4*(x - 1)**4
Let k(z) be the third derivative of -z**7/1680 - z**6/960 + 3*z**5/160 - 11*z**4/192 + z**3/12 - 58*z**2. Factor k(r).
-(r - 1)**3*(r + 4)/8
Let y(a) = 3*a**2 - 33*a - 43. Let x(l) = l**2 - 16*l - 22. Let j(f) = 5*x(f) - 2*y(f). Factor j(u).
-(u + 2)*(u + 12)
Let f be 0*(11/2)/(-11). Let o = -464/3 - -156. Suppose -2/3*s**2 - o*s + f = 0. What is s?
-2, 0
Let y(s) = 2*s + 12. Let q be y(-5). Let w be ((-1)/q)/((-2)/(-8)*-11). Factor -4/11*b**2 + w*b**4 - 2/11*b + 4/11*b**3 - 2/11*b**5 + 2/11.
-2*(b - 1)**3*(b + 1)**2/11
Factor 12*n**4 + 14*n**3 + 6*n**2 + 3*n**5 + 15*n**3 - 14*n**3.
3*n**2*(n + 1)**2*(n + 2)
Let -12/7*k**3 + 2/7*k**2 + 12/7*k - 2/7*k**4 + 0 = 0. Calculate k.
-6, -1, 0, 1
Let a(t) = -64*t + 177*t - 12 - 66*t - 60*t - t**2. Let s be a(-12). Find r such that 0*r**4 - 3/2*r**3 + 3/2*r**5 + 0 + s*r + 0*r**2 = 0.
-1, 0, 1
Let p(g) be the first derivative of -31 - g + 1/9*g**3 + 1/3*g**2. Suppose p(q) = 0. Calculate q.
-3, 1
Suppose h - y + 47 = 0, 178 = -5*h + h + 2*y. Let t be 12/9 + h/45. Factor -4/5*j**2 + 0 - 2/5*j - t*j**3.
-2*j*(j + 1)**2/5
Let d(q) be the third derivative of q**6/1980 + 7*q**5/660 - 7*q**3/6 - 29*q**2. Let x(c) be the first derivative of d(c). What is j in x(j) = 0?
-7, 0
Let s be (-1)/2*(-2)/3. Let q(j) be the second derivative of -s*j**4 - 1/6*j**3 + 0*j**2 + 5*j + 0. Factor q(r).
-r*(4*r + 1)
Solve -122/9*c + 4 - 86/9*c**2 - 8/9*c**3 = 0 for c.
-9, -2, 1/4
Let w be ((-4)/6)/((64/36)/(-8)). Let d be 1/(-4) + (-1)/(-4). Factor d - 1/3*r**4 - 1/3*r**w + 0*r**2 + 0*r.
-r**3*(r + 1)/3
Let m(x) be the first derivative of -2*x**5/5 + 37*x**4 - 290*x**3/3 + 72*x**2 + 691. Factor m(k).
-2*k*(k - 72)*(k - 1)**2
Let c(k) be the first derivative of -5*k**4/4 - 10*k**3/3 + 50*k**2 - 120*k - 111. Determine i, given that c(i) = 0.
-6, 2
Let g(k) be the second derivative of 0 + 1/96*k**4 - 1/8*k**2 - 1/48*k**3 - 22*k. Factor g(x).
(x - 2)*(x + 1)/8
Let a(f) be the first derivative of 2/7*f**2 - 5 + 1/70*f**5 + f - 1/21*f**3 - 1/21*f**4. Let s(b) be the first derivative of a(b). Factor s(c).
2*(c - 2)*(c - 1)*(c + 1)/7
Let b be 248/48 - 1/6. Determine s so that 20*s**2 + 14*s**4 - 15*s + 10*s**2 - 30*s**3 - 3*s**b - 9*s**4 + 3 + 10*s**4 = 0.
1
Let v(m) be the first derivative of 12 + 0*m + 5*m**5 + 10*m**4 - 20/3*m**3 + 0*m**2. Factor v(f).
5*f**2*(f + 2)*(5*f - 2)
Let c(h) be the third derivative of 0 + 0*h + 11*h**2 + 1/4*h**4 - 1/20*h**5 + 3/2*h**3. Factor c(x).
-3*(x - 3)*(x + 1)
Let t(a) be the first derivative of a**6/6 + 3*a**5/4 + 5*a**4/4 + 5*a**3/6 + a - 19. Let m(w) be the first derivative of t(w). Factor m(h).
5*h*(h + 1)**3
Let z(a) be the first derivative of 2/3*a**3 + 32*a - 20 + 8*a**2. Solve z(c) = 0 for c.
-4
Factor 0 - 44/3*h + 2/3*h**2.
2*h*(h - 22)/3
Let w(t) be the second derivative of t**5/10 + t**4 - 32*t**2 - 77*t. Find x such that w(x) = 0.
-4, 2
Let a(y) be the first derivative of 15 + 0*y**3 + 0*y - 1/48*y**6 + 1/20*y**5 + 0*y**2 - 1/32*y**4. Factor a(w).
-w**3*(w - 1)**2/8
Let a be ((-4)/(-12))/(-16*2/(-72)). Suppose 3/2*c - 3/4*c**2 - a = 0. What is c?
1
Let a(q) be the first derivative of -10 - 12*q + 13*q**2 + 1/2*q**4 - 16/3*q**3. Let a(c) = 0. What is c?
1, 6
Factor -16/9 - 28/9*d**2 + 64/9*d.
-4*(d - 2)*(7*d - 2)/9
Let z(l) = -9*l**5 + 4*l**5 - l + 3*l - l**4 - 2 + 2*l**5. Let i(r) = -7*r**5 - 3*r**4 - r**3 + 5*r - 5. Let j(k) = 2*i(k) - 5*z(k). Factor j(n).
n**3*(n - 2)*(n + 1)
Factor -2*z - 16/3*z**2 + 2/3*z**5 + 0*z**4 + 0 - 4*z**3.
2*z*(z - 3)*(z + 1)**3/3
Let -30/7*y**3 - 14*y + 0 + 2/7*y**4 + 18*y**2 = 0. What is y?
0, 1, 7
Let h = 108 + -758/7. Let z = h + 4/7. Factor -4/7*p**4 + 0 + 0*p - z*p**3 - 2/7*p**5 + 0*p**2.
-2*p**3*(p + 1)**2/7
Let j(m) = m**3 + 5*m**2 + 6. Let v be (-5 + 3)/(4/10). Let w be j(v). Find q, given that 5 - 4*q**2 + 4 + 1 - w = 0.
-1, 1
Suppose -7*x - 5*a - 5 = -12*x, 5*x - 15 = -5*a. Find w such that -72/5*w**3 - 16*w**x - 32/5*w + 0 - 4/5*w**5 - 28/5*w**4 = 0.
-2, -1, 0
Let x(m) be the first derivative of 18/55*m**5 + 16/11*m**4 + 1/33*m**6 - 1 + 48/11*m**2 + 32/11*m + 112/33*m**3. Factor x(y).
2*(y + 1)*(y + 2)**4/11
Let p(q) = -q**3 + 4*q**2 + 20*q. Let n be p(7). Let f be (-3)/n*-20*4/(-12). Suppose -20/7*b**3 + f*b**2 - 2/7*b**5 + 2/7 - 10/7*b + 10/7*b**4 = 0. What is b?
1
Find o such that 11*o**3 - 160*o**2 + 484 + 232*o + 76*o + 5*o**3 = 0.
-1, 11/2
Factor -1/7*f**4 - 5/7*f**2 + 4/7*f**3 + 0 + 2/7*f.
-f*(f - 2)*(f - 1)**2/7
Let d(o) be the second derivative of -1/14*o**7 + 0*o**4 - 1 + 17*o - 1/30*o**6 + 0*o**2 + 0*o**3 + 1/2*o**5. Factor d(s).
-s**3*(s + 2)*(3*s - 5)
Let d(u) be the second derivative of u**5/100 - u**4/20 - 3*u**3/10 + 21*u**2/2 + 3*u. Let z(r) be the first derivative of d(r). Suppose z(m) = 0. What is m?
-1, 3
Suppose 4*x - 12*x = -24. Suppose -x*v = -0*v. Determine u so that -1/6*u**3 + 0*u + 0 + 1/6*u**5 + 0*u**2 + v*u**4 = 0.
-1, 0, 1
Let a = -379 + 537. Let v = -156 + a. Determine x, given that -64/7*x**3 -