c). Let b(h) = 0. Calculate h.
-1, 2
Suppose 3*b = 2*b + 3. Let -35*h**2 + 32*h**2 - 3*h**b + 0*h**3 = 0. What is h?
-1, 0
Let k(w) be the first derivative of -3*w**3/4 - w**2/4 + 14. Suppose k(a) = 0. Calculate a.
-2/9, 0
Factor -l + 0 - 1/2*l**3 - 3/2*l**2.
-l*(l + 1)*(l + 2)/2
Let k be (-57)/(-95) - 14/(-10). Factor 1/2*a**k - 1/4*a**4 - 1/4 + 0*a**3 + 0*a.
-(a - 1)**2*(a + 1)**2/4
Let k = 9 - 11. Let y = k + 4. Factor 4/3*a + 2/3 + 2/3*a**y.
2*(a + 1)**2/3
Let x(f) be the third derivative of f**8/110880 + f**7/27720 + f**5/60 + 2*f**2. Let v(z) be the third derivative of x(z). Determine t so that v(t) = 0.
-1, 0
Suppose -3 + 63 = 5*o. Factor 0*w**2 - 4*w**2 + o*w - 4 - w**2 - 3*w**2.
-4*(w - 1)*(2*w - 1)
Let a = 84 + -1763/21. Let n(p) be the second derivative of -1/7*p**2 - a*p**3 + 0 + 4/105*p**6 - 11/70*p**5 + 3/14*p**4 - p. Factor n(j).
2*(j - 1)**3*(4*j + 1)/7
Suppose -4*g = -g. Let r(m) be the third derivative of -1/336*m**8 - 1/30*m**5 + 1/105*m**7 + g + 0*m**6 + 0*m + 0*m**3 + 1/24*m**4 - 2*m**2. Factor r(u).
-u*(u - 1)**3*(u + 1)
Let h(g) = -50*g + 403. Let x be h(8). Factor -3/2*l + 0 + 0*l**2 + 3/2*l**x.
3*l*(l - 1)*(l + 1)/2
Let x(p) be the first derivative of -4*p**3/9 + 3*p**2 - 8*p/3 + 2. Factor x(q).
-2*(q - 4)*(2*q - 1)/3
Factor 1/6*j**4 - 3/2 - j**3 + j + 4/3*j**2.
(j - 3)**2*(j - 1)*(j + 1)/6
Let z = 245 + -245. Factor -2/7*t**5 - 2/7*t**4 + 0 + 0*t**2 + z*t**3 + 0*t.
-2*t**4*(t + 1)/7
Let v(c) = c**5 - c**4 + c. Let p(u) = 0*u - 7*u - u**5 - 3*u - 8*u**4 + 2 + 4*u**3 + 3*u**5 + 8*u**2. Let y(q) = -p(q) - 2*v(q). Determine o so that y(o) = 0.
-1, 1/2, 1
Let g = -435 + 2191/5. Suppose -2*z**2 + 2/5*z**3 - 8/5 + g*z = 0. Calculate z.
1, 2
Let t(q) be the second derivative of q**7/42 + 4*q**6/15 + 11*q**5/10 + 2*q**4 + 3*q**3/2 + 4*q. Let t(g) = 0. Calculate g.
-3, -1, 0
Let a(r) be the second derivative of -r**4/48 + 5*r**3/24 + 4*r. Factor a(k).
-k*(k - 5)/4
Let u(v) be the third derivative of v**6/600 - v**5/100 + v**4/60 - 10*v**2. Solve u(m) = 0 for m.
0, 1, 2
Let y(k) be the third derivative of k**5/140 + k**4/28 - 8*k**2. Solve y(a) = 0.
-2, 0
Solve 0*o**3 + 0 + 0*o - 8/5*o**2 + 6/5*o**4 - 2/5*o**5 = 0 for o.
-1, 0, 2
Let v(q) be the first derivative of -2*q**3/27 + q**2/3 + 8*q/9 + 30. What is k in v(k) = 0?
-1, 4
Factor -25/4*v**3 + 55/4*v**2 + 3 + 14*v.
-(v - 3)*(5*v + 2)**2/4
Suppose 0 = 3*s - 0 - 9. Suppose -s*f + 8 = -4. Factor 2/3*i**2 - 2/3*i**f + 0*i + 0 + 0*i**3.
-2*i**2*(i - 1)*(i + 1)/3
Let z(p) be the second derivative of p**4/42 - p**3/7 + 2*p**2/7 - 29*p. Factor z(b).
2*(b - 2)*(b - 1)/7
Let s(z) be the third derivative of z**8/336 - z**7/35 + 13*z**6/120 - z**5/5 + z**4/6 + 19*z**2. Find p such that s(p) = 0.
0, 1, 2
Factor -3*o**2 + 3*o**4 - 3*o**3 + 8*o**5 - 3*o**3 - 5*o**5 + 3*o**3.
3*o**2*(o - 1)*(o + 1)**2
Let t be 242/44 - (0 + 1*4). Factor 0 - z**3 - 3/2*z**4 + z + t*z**2.
-z*(z - 1)*(z + 1)*(3*z + 2)/2
Suppose 3*l - 2*a - 7 = 3, -5*a - 25 = 3*l. Let g be (0 + 0)/(-5 + 4/1). Factor 49/4*x**3 + g + l*x**2 - x.
x*(7*x - 2)*(7*x + 2)/4
Find f such that 0 - 1/2*f**5 - 12*f**3 + 0*f + 8*f**2 + 9/2*f**4 = 0.
0, 1, 4
Factor 157*h - 8 + h**2 - 153*h + 3*h**2.
4*(h - 1)*(h + 2)
Let p(i) be the second derivative of i**6/180 - i**5/90 - i**4/18 + 3*i**2 - 6*i. Let d(w) be the first derivative of p(w). Factor d(v).
2*v*(v - 2)*(v + 1)/3
Let p be 4/42*(2 + 2 + -1). Factor 6/7*w**2 + 0*w - 4/7*w**3 - p.
-2*(w - 1)**2*(2*w + 1)/7
Factor -27*p**5 - 6*p**3 + 15*p**3 + 14*p**4 + 15*p**3 - 12*p**2 - 5*p**4.
-3*p**2*(p + 1)*(3*p - 2)**2
Factor 0 + 1/2*z - 7/4*z**2.
-z*(7*z - 2)/4
Let x(r) be the third derivative of r**8/20160 + r**7/2520 + r**6/720 - r**5/20 + r**2. Let o(k) be the third derivative of x(k). Factor o(y).
(y + 1)**2
Let q(i) be the first derivative of 2*i**5/5 + i**4 - 16*i**3/3 - 30. Suppose q(m) = 0. What is m?
-4, 0, 2
Let j(w) = -3*w**3 + 2*w**2 - 2*w. Let h(y) = -7*y**3 + 3*y**2 - 3*y. Let i(n) = -2*h(n) + 5*j(n). Solve i(l) = 0.
0, 2
Let a(b) = -3*b**2 - 2*b - 1. Let d = -60 + 58. Let f(v) = 4*v**2 + 2*v + 1. Let c = -2 + -1. Let o(r) = c*a(r) + d*f(r). Solve o(h) = 0 for h.
-1
Suppose 6*v = -4 + 10. Factor -8/3*i + v + 5/3*i**2.
(i - 1)*(5*i - 3)/3
Let i(g) = -7*g**5 - 112*g**4 - 113*g**3 + 8*g. Let t(w) = 5*w**5 + 75*w**4 + 75*w**3 - 5*w. Let z(r) = -5*i(r) - 8*t(r). Factor z(p).
-5*p**3*(p + 1)*(p + 7)
Let d be (-2)/4 - (-1)/2. Let v be ((-1)/(-6))/(14/28). Solve d + 1/3*z**2 - v*z = 0 for z.
0, 1
Let x(u) be the third derivative of u**7/630 + u**6/180 - u**5/15 - u**4/3 + 6*u**2. Let v(b) be the second derivative of x(b). Find y such that v(y) = 0.
-2, 1
Let s(f) = -6*f - 18. Let m be s(-4). Let p(l) be the first derivative of -1/5*l**2 + 4/25*l**5 + 1 + 1/15*l**m + 0*l - 4/15*l**3 + 0*l**4. Factor p(c).
2*c*(c - 1)*(c + 1)**3/5
Let g be (0 + 4)/((-4)/(-2)). Determine y so that 1/3*y - 1/3*y**3 + 1/3*y**g - 1/3*y**4 + 0 = 0.
-1, 0, 1
Suppose 0 = 5*l + 21 - 56. Factor z**2 + 4 + 5*z - l*z - 3.
(z - 1)**2
Let u(a) = -5*a**3 - 5*a**2 + a + 9. Let t(d) = -d**3 - d**2 + 2. Let l = -4 + 6. Let n = -2 - l. Let w(q) = n*u(q) + 18*t(q). Factor w(x).
2*x*(x - 1)*(x + 2)
Let c(w) be the second derivative of w**4/4 - w**3 - 9*w**2/2 - 2*w. Factor c(v).
3*(v - 3)*(v + 1)
Let u = 21 - 18. Suppose 4 = -v + u*v. What is f in 3/2*f**3 - 3/2 - 3/2*f + 3/2*f**v = 0?
-1, 1
Determine c so that -85/3*c - 1/3*c**5 + 13/3*c**4 + 25/3 + 106/3*c**2 - 58/3*c**3 = 0.
1, 5
Let p(l) = 5*l**4 + 7*l**3 + 5*l**2 + 3. Let a(g) = -9*g**4 - 13*g**3 - 9*g**2 - 5. Let v(f) = -3*a(f) - 5*p(f). Factor v(t).
2*t**2*(t + 1)**2
Let q(m) be the first derivative of m**5/210 + m**4/42 + m**3/21 - m**2/2 + 2. Let c(t) be the second derivative of q(t). Factor c(j).
2*(j + 1)**2/7
Let l(y) be the third derivative of 0 - 1/72*y**4 - 1/180*y**5 - 2*y**2 + 0*y + 0*y**3. Factor l(b).
-b*(b + 1)/3
Let r(x) = -x**2 - 3*x - 2. Let i = 2 + -3. Let h be r(i). Factor h*v + 2/9*v**3 - 2/9*v**2 + 0.
2*v**2*(v - 1)/9
Let d(l) be the second derivative of -l**4/48 - l**3/12 - l**2/8 + 4*l. Determine h, given that d(h) = 0.
-1
Let d(l) be the first derivative of -3*l**5/25 + 3*l**3/5 + 3*l**2/5 + 8. Solve d(b) = 0 for b.
-1, 0, 2
Let j be (52/(-468))/(2/(-38)). Factor j*u - 11/3*u**2 - 1/3 + u**3.
(u - 3)*(3*u - 1)**2/9
Suppose -2*g + 2 = -2. Factor 2 - 2 - k**g.
-k**2
Suppose -10 + 50 = -4*n - 4*z, 0 = n - 4*z + 10. Let i be 4/n*90/(-6). Factor 2*t**4 - 8 + i*t**2 + t**3 + 5*t**3 - 2*t**3 + 4*t**3 - 8*t.
2*(t - 1)*(t + 1)*(t + 2)**2
Factor 5/2*o - 25/8*o**2 - 1/2.
-(5*o - 2)**2/8
Let l(m) = -m + 11. Let b be l(8). Let h(n) = -n**3 + 3*n**2. Let r be h(b). Determine o so that 1/5*o - 1/5*o**4 - 3/5*o**2 + 3/5*o**3 + r = 0.
0, 1
Let x be 0/((-1 - -4 - 4)/(-1)). Let p(t) be the first derivative of 0*t**2 - 1 + 2/21*t**3 + 1/14*t**4 + x*t. Find l such that p(l) = 0.
-1, 0
Let m(z) be the first derivative of 1/9*z**3 - 1 + 1/6*z**2 - 2/3*z. Factor m(h).
(h - 1)*(h + 2)/3
Let t(s) be the first derivative of s**7/1400 + s**6/150 + s**5/40 + s**4/20 - s**3 + 1. Let l(a) be the third derivative of t(a). What is m in l(m) = 0?
-2, -1
Let q(o) be the second derivative of 7/15*o**4 - 9*o + 3/35*o**7 - 1/5*o**6 - 1/25*o**5 + 1/5*o**2 - 7/15*o**3 + 0. Suppose q(f) = 0. What is f?
-1, 1/3, 1
Let b = -653 + 4579/7. Factor b*t + 16/7*t**2 - 10/7*t**3 + 0.
-2*t*(t - 2)*(5*t + 2)/7
Let s(k) be the third derivative of 7*k**6/120 - k**5/15 - 7*k**4/24 + 2*k**3/3 + 12*k**2. Determine h so that s(h) = 0.
-1, 4/7, 1
Let y(m) be the second derivative of -m**4/66 - 4*m**3/11 - 36*m**2/11 + 2*m. Factor y(v).
-2*(v + 6)**2/11
Suppose 4*t = -7*t. Factor t + 0*p + 2/13*p**2.
2*p**2/13
Let j(m) be the second derivative of 1/36*m**4 - 2*m + 0 - 1/3*m**2 + 1/18*m**3. Let j(v) = 0. What is v?
-2, 1
Suppose 20 = l - 4*s + 6, 5*l - 1 = -3*s. Factor -1 + 3 + 0*v**2 - 2*v**l + 0.
-2*(v - 1)*(v + 1)
Let n(o) be the third derivative of o**6/360 - o**5/120 - o**3/6 + o**2. Let h(i) be the first derivative of n(i). Factor h(t).
t*(t - 1)
Let z be 1 + 4*(-3)/(-12). What is v in -2/5*v + 2/5*v**3 - 2/5*v**z + 2/5 = 0?
-1, 1
Find n such that -1/7 - 1/7*n**3 + 1/7*n**2 + 1/7*n = 0.
-1, 1
Suppose 0 = 9*o - 8*o - 2. Factor -43 + w**o - w + 45 + 4*w.
(w + 1)*(w + 2)
Let h(t) be the second deriva