 24. Find w, given that b(w) = 0.
1, 4
Let n(s) be the first derivative of -s**8/60 - 3*s**7/70 - s**6/45 + 5*s**3/3 + 9. Let v(c) be the third derivative of n(c). Factor v(m).
-4*m**2*(m + 1)*(7*m + 2)
Find m such that 260*m**3 - 5*m**4 - 17094 - 16*m**2 - 1071*m**2 - 1543*m**2 - 1960*m**2 - 7471 + 28900*m = 0.
1, 17
Let q be (-52)/7 + 1*(-9)/(-21). Let d be (0/(-5))/(4 + q). Factor 1/2*l + 1/2*l**2 + d.
l*(l + 1)/2
Let y(g) = -g**5 - g**4 + g**3 - g. Let m(v) = -2*v**5 - 16*v**2 - 18*v - 4. Let i(h) = m(h) - 4*y(h). Let i(p) = 0. What is p?
-1, 2
Let g(m) be the second derivative of -25*m**4/12 + 35*m**3/2 + 4*m + 11. Factor g(w).
-5*w*(5*w - 21)
Suppose -40 = -2*w + 12*w. Let q be (-12)/w - 20/8. Let 11/4*m**4 + 0 + 0*m + 0*m**2 - q*m**3 - 15/4*m**5 = 0. What is m?
0, 1/3, 2/5
Suppose 5 = -p, 50*d + 14 = 51*d - 2*p. Solve -16*t**2 - 1/3 + 64/3*t**3 + d*t = 0.
1/4
Let c be ((-2)/(-6))/(1/6). Suppose c*a**3 + 307*a - 615*a + 306*a = 0. What is a?
-1, 0, 1
Let l(y) be the second derivative of -y**5/140 - 11*y**4/84 - 13*y**3/14 - 45*y**2/14 - 10*y + 3. Solve l(c) = 0 for c.
-5, -3
Suppose -21*w + 163*w - 284 = 0. Factor 2/11*g**w + 10/11*g + 6/11 - 2/11*g**3.
-2*(g - 3)*(g + 1)**2/11
Find a, given that -36992/3 - 2/3*a**2 - 544/3*a = 0.
-136
Let d(a) be the second derivative of -a**5/20 - 5*a**4/12 + 5*a**3/6 - 2*a**2 + 10*a. Let i be d(-6). Factor -12/7*g**i - 24/7*g - 2/7*g**3 - 16/7.
-2*(g + 2)**3/7
Let m(q) be the third derivative of 0 - 4/15*q**4 + 12*q**2 + 0*q - 8/15*q**3 - 1/25*q**5. Factor m(w).
-4*(w + 2)*(3*w + 2)/5
Let k(f) be the third derivative of f**5/180 + 89*f**4/72 - 5*f**3 + 508*f**2. What is p in k(p) = 0?
-90, 1
Let q(l) be the third derivative of l**6/180 - l**5/10 - 6*l**2 - 12*l. Let q(x) = 0. Calculate x.
0, 9
Let s = 21631/30 - 721. Let y(b) be the third derivative of -2/315*b**7 + 0 + 0*b**4 - 2/45*b**5 + 0*b**3 - 9*b**2 + s*b**6 + 0*b. What is d in y(d) = 0?
0, 1, 2
Let h be 2 - (-1 + -2 + 2). Let t = 5 - h. Determine p, given that t*p**4 - 8*p**2 - 7*p**2 - 8*p**3 - 12 + 25*p**4 + 38*p**3 - 36*p + 6*p**5 = 0.
-2, -1, -1/2, 1
Let i(t) be the second derivative of -t**5/20 + 41*t**4/12 - 220*t**3/3 + 200*t**2 + 104*t. Find d, given that i(d) = 0.
1, 20
Let w(a) = 2*a**4 - a**3 + a**2 + a + 1. Let h(n) = 7*n**4 - 12*n**3 - 11*n**2 + 12*n + 20. Let x(p) = -h(p) + 4*w(p). Factor x(m).
(m - 1)*(m + 1)*(m + 4)**2
Let l(s) = 1. Let n(m) = 5*m + 25. Let a(x) = 2*l(x) + n(x). Let d be a(-5). Factor -f - 1/3 - f**d - 1/3*f**3.
-(f + 1)**3/3
Let f(a) = -a**2 - 10*a + 15. Let l be f(-11). Find g, given that -8*g**5 + 4*g**2 + 12*g**3 + 4*g**4 - 5*g**2 - 3*g**2 - l*g = 0.
-1, -1/2, 0, 1
Let k(i) be the third derivative of -i**8/110880 - i**7/9240 - i**5/30 - 13*i**2. Let p(n) be the third derivative of k(n). Suppose p(g) = 0. Calculate g.
-3, 0
Suppose 0 = 4*r - 4*x - 24, 0 = -3*r - r + 2*x + 18. Let v be ((-24)/(-9))/(5/r). Find n, given that v*n - 8/5*n**2 + 2*n**4 - 4/5*n**5 - 2/5 - 4/5*n**3 = 0.
-1, 1/2, 1
Suppose 6*m = 9*m - 12. What is g in 0*g**2 + 6*g**2 - g - 3*g - m*g**2 = 0?
0, 2
Let d be (20/(-40))/(1/2*-1). Let r be 0*((-15)/(-10) - d). Suppose -2/11*q**4 + 2/11*q**2 + 2/11*q**3 + r - 2/11*q = 0. Calculate q.
-1, 0, 1
Suppose 2*t = 5*j - 10, 0 = -j + 5*j - 4*t - 8. Suppose 40*p**j - p - 28 + 24*p - 30*p**3 - 17 + 5*p**4 + 7*p = 0. Calculate p.
-1, 1, 3
Let n = -3049/2 - -1532. Find i, given that -n*i**2 + 29/4*i - 3/2 + 7/4*i**3 = 0.
2/7, 1, 3
Let b be ((-12)/3 - -7)/((-6)/(-4)). Suppose y = 2*y - b. Factor 4/5*c - 2/5 - 2/5*c**y.
-2*(c - 1)**2/5
What is l in 905*l**3 + 154*l**4 - 152*l - 528*l - 14*l**4 + 885*l**2 + 100 = 0?
-5, -2, 1/4, 2/7
Let u be (0 - (10/(-36) + -4)) + -4. Let g(r) be the second derivative of -1/3*r**3 - u*r**4 + 0 - r + 2/3*r**2. Determine j, given that g(j) = 0.
-1, 2/5
Let b(y) be the first derivative of 15/4*y**4 - 8 - 50/3*y**3 - 10*y + 45/2*y**2. Suppose b(m) = 0. Calculate m.
1/3, 1, 2
Let p(f) be the first derivative of 1/3*f**2 - 1/9*f**3 - 1/4*f**4 + 1/15*f**5 + 0*f + 13 + 1/18*f**6. Solve p(y) = 0.
-2, -1, 0, 1
Let z(a) be the second derivative of 0*a**2 - 2/3*a**4 + 0 + 2/3*a**3 - a + 1/5*a**5. Let z(q) = 0. What is q?
0, 1
Let m(d) be the second derivative of -25*d**7/63 - 22*d**6/27 + d**5/90 + 16*d**4/27 - 4*d**3/27 + 547*d. Let m(a) = 0. Calculate a.
-1, 0, 2/15, 2/5
Solve -1/2*i**3 - 3/2*i + 1/2 + 3/2*i**2 = 0 for i.
1
Let j(c) = -c**3 + 5*c**2 + c - 1. Let l be j(5). Factor -4 + 10*y - 4*y**2 - l*y + 2*y.
-4*(y - 1)**2
Let n(x) = 2*x - 6. Let l(s) = -5*s**2 + 21*s - 24. Let v(d) = -d**2 + 4*d - 5. Let k(r) = -2*l(r) + 11*v(r). Let f(u) = 2*k(u) - 3*n(u). What is h in f(h) = 0?
-2, 1
Let g(z) = -2*z**4 + 29*z**3 - 71*z**2 + 41*z + 1. Let w(t) = t**4 - t**3 - 2*t**2 - t + 1. Let y(d) = g(d) - w(d). Determine k so that y(k) = 0.
0, 1, 2, 7
Let s(t) = t**3 + 5*t**2 + t + 15. Let r be s(-4). Factor -15*i**2 + r*i**2 + 8 - 16*i**2 - 4*i.
-4*(i - 1)*(i + 2)
Let i(r) be the second derivative of -r**6/840 + r**5/40 - 3*r**4/28 - 5*r**3/2 - 9*r. Let h(w) be the second derivative of i(w). Find p, given that h(p) = 0.
1, 6
Let a(n) = 7*n**2 + 7*n. Let y(m) = m**2 + m. Let p(q) = a(q) - 6*y(q). Let u be p(1). Factor -3 - 5*o**2 + o**2 + 7*o**u.
3*(o - 1)*(o + 1)
Suppose -4 + 1 = -78*a - 3. Determine m, given that -4/3*m + 8*m**2 - 7/3*m**5 - 43/3*m**3 + a + 10*m**4 = 0.
0, 2/7, 1, 2
Let y be (312/416)/(18/4). Factor 1/3*n**4 + 3/2*n**2 - 7/6*n**3 - 5/6*n + y.
(n - 1)**3*(2*n - 1)/6
Suppose -d - 5 = -3*a, 24 = -5*a - 4*d + 4. Factor a*l**2 + 8*l**3 - 4*l**2 + 4 - 7*l - 7*l**3 + 6*l.
(l - 4)*(l - 1)*(l + 1)
Let d(z) be the third derivative of -z**8/21 + 46*z**7/35 - 13*z**6/30 - 23*z**5/5 + 17*z**4/6 - 673*z**2. Let d(y) = 0. What is y?
-1, 0, 1/4, 1, 17
Let a be (-2 - (-86)/34)*(-7 + (-2730)/(-378)). Factor -a*c**5 + 2/17*c**3 + 0 + 0*c + 0*c**4 + 0*c**2.
-2*c**3*(c - 1)*(c + 1)/17
Let x(b) = -5*b**2 + 43*b + 18. Let l be x(9). Find n, given that -4/3*n**4 + 0*n + 4/3*n**3 + l + 0*n**2 = 0.
0, 1
Let a(s) be the first derivative of 0*s - 3/2*s**4 + s**3 + 0*s**2 + 19 + 3/5*s**5. Factor a(g).
3*g**2*(g - 1)**2
Let t(g) be the second derivative of -8*g**2 + 1/3*g**4 + 0 + 0*g**3 - 31*g. Factor t(q).
4*(q - 2)*(q + 2)
Determine v so that 16*v**3 - 2*v**2 - 200*v + 2*v**4 + 186*v - 2*v**3 = 0.
-7, -1, 0, 1
Let k(w) be the first derivative of w**6/9 - 13*w**5/30 + 5*w**4/8 - 7*w**3/18 + w**2/12 - 63. Factor k(z).
z*(z - 1)**3*(4*z - 1)/6
Suppose -5*m - 2 - 10 = 2*x, 24 = 2*x - 4*m. Suppose 4*o = x*k - 8, 3*o - 3*k - 18 = -6*k. Find i, given that 6*i**o + 64 - 4*i**4 - 64 - 2*i**2 = 0.
-1, 0, 1
Let p be ((-138)/(-15))/1*54/162. Let 0 - 4/15*b + 26/15*b**2 - p*b**3 + 8/5*b**4 = 0. What is b?
0, 1/4, 2/3, 1
Let s(c) be the first derivative of 3*c**4/2 - 14*c**3/3 - 17*c**2/3 - 2*c + 115. Suppose s(k) = 0. Calculate k.
-1/3, 3
Let z(u) = 15*u**2 - 30*u - 15. Let t(g) = -2*g**2 - 1. Let w(y) = 10*t(y) + z(y). Factor w(d).
-5*(d + 1)*(d + 5)
Factor 0 - 1/10*n**5 - 27/10*n**2 + 3/10*n**4 + 0*n + 9/10*n**3.
-n**2*(n - 3)**2*(n + 3)/10
Let j(p) = -110*p**2 + 10385*p - 242810. Let w(m) = 5*m**2 - 472*m + 11037. Let x(a) = -2*j(a) - 45*w(a). Factor x(i).
-5*(i - 47)**2
Let k(v) = v**3 + v**2 + v. Suppose 0*r = -r - 2. Let j(o) = 0 - 13*o**2 - 12*o**3 - 16 - 10*o + 18. Let s(u) = r*j(u) - 22*k(u). Factor s(n).
2*(n - 1)*(n + 1)*(n + 2)
Let v(r) = r**2 - r. Let y(a) = 8*a**2 - 19*a - 25. Suppose 54 = 5*u - 2*u. Let l(p) = u*v(p) - 2*y(p). Suppose l(g) = 0. Calculate g.
-5
Let t(i) = -i**5 - 29*i**3 - 55*i**2 - 11*i - 7. Let n(b) = -15*b**3 - 27*b**2 - 6*b - 3. Let x(z) = -7*n(z) + 3*t(z). Solve x(q) = 0 for q.
-1, 0, 3
Let f(k) be the second derivative of k**5/100 + 7*k**4/60 - 4*k**3/15 + 80*k. Factor f(p).
p*(p - 1)*(p + 8)/5
Let z(w) be the second derivative of -w**6/165 + 6*w**5/55 + 19*w**4/66 - 114*w**3/11 - 648*w**2/11 - 201*w. Let z(k) = 0. Calculate k.
-4, -2, 9
Suppose 6 = -5*x - 4*w, 34*w = 4*x + 36*w. Let y(r) be the second derivative of 18/7*r**x + 1/21*r**4 - 4/7*r**3 - r + 0. Solve y(o) = 0.
3
Let x(y) be the second derivative of y**4/144 - 13*y**3/72 - 160*y - 1. Factor x(c).
c*(c - 13)/12
Let m = -10475 - -41467/4. Let f = 109 + m. Factor 3/4*l + 1/4*l**3 + f*l**2 + 1/4.
(l + 1)**3/4
Su