 8. Let h(z) = -4*z. Let i be h(2). Let w(g) = i*u(g) - 5*t(g). Solve w(r) = 0 for r.
0, 1
Factor -3*y - 4*y - 2*y - 16*y + 20 + 5*y**2.
5*(y - 4)*(y - 1)
Let i(u) = -3. Let v(s) = -16. Let w(h) = -11*i(h) + 2*v(h). Let o(j) = -j**2 - 2*j - 4. Let t(b) = o(b) + 3*w(b). Factor t(l).
-(l + 1)**2
Let l(v) be the first derivative of -v**2 + 2 - 1/24*v**3 + 0*v + 1/48*v**4 - 1/240*v**5. Let d(c) be the second derivative of l(c). Factor d(o).
-(o - 1)**2/4
Let w(b) = -b**3 - b - 2. Let y be w(-1). Let l(o) be the third derivative of -1/180*o**5 + 2*o**2 + y*o + 0 + 1/72*o**4 + 0*o**3. Factor l(p).
-p*(p - 1)/3
Let y(o) be the second derivative of -1/168*o**7 + 0 - 1/60*o**6 + 3/80*o**5 + 5*o + 0*o**2 + 0*o**4 + 0*o**3. What is b in y(b) = 0?
-3, 0, 1
Let g(c) be the first derivative of 3*c**4/14 - 10*c**3/7 + 9*c**2/7 + 54*c/7 + 6. What is i in g(i) = 0?
-1, 3
Let u be ((-84)/(-12))/(2/4). Suppose 3*i = -y - 10, 0 = -y + 3*i - 0*i + u. Factor -2*t**y - 4/5*t**3 - 8/5*t - 2/5.
-2*(t + 1)**2*(2*t + 1)/5
Let v(i) = 20*i**4 - 16*i**3 - 8*i**2 + 8*i - 8. Let l(s) = -13*s**4 + 11*s**3 + 5*s**2 - 5*s + 5. Let p(n) = -8*l(n) - 5*v(n). Let p(a) = 0. What is a?
0, 2
Suppose -4*h + 3*x = -h - 3, 3*h + 3*x = 9. Let n(w) be the second derivative of -w + 1/27*w**3 + 0 - 1/54*w**4 + 0*w**h. Determine v, given that n(v) = 0.
0, 1
Suppose -29 = -4*v - 9. Let j(y) = y - 5. Let u be j(v). Solve u*s**3 - 2*s**3 - 2*s**5 + s + 3*s**5 = 0.
-1, 0, 1
Let p = 6 + 5. Let h be ((-7)/(-21))/(-1*1/(-6)). Factor -p*q**5 - 14*q**5 - 11*q**4 - 9*q**4 - 8*q**h - 10*q**4 + 36*q**3.
-q**2*(q + 2)*(5*q - 2)**2
Let x(s) be the second derivative of 2/3*s**3 - 17/15*s**6 + 0 + 5/21*s**7 + 21/10*s**5 - 2*s - 11/6*s**4 + 0*s**2. Factor x(h).
2*h*(h - 1)**3*(5*h - 2)
Let p(c) be the third derivative of -1/160*c**6 - 1/280*c**7 - 1/240*c**5 + 0*c**4 - 1/1344*c**8 + 0*c - c**2 + 0*c**3 + 0. Let p(t) = 0. Calculate t.
-1, 0
Let a(u) be the second derivative of 0*u**4 + 2/105*u**6 + 0*u**3 + 4*u + 1/70*u**5 + 1/147*u**7 + 0 + 0*u**2. Factor a(j).
2*j**3*(j + 1)**2/7
Let q be 1/2 + 22/4. Suppose -k - 2*k = -q. Factor 0*u**5 + 2*u**3 + 2*u**5 - 6*u**3 + k*u.
2*u*(u - 1)**2*(u + 1)**2
Let n(d) = -4*d**3 + 2*d**2 + 8*d - 6. Let i(m) = -4*m**3 + m**2 + 8*m - 5. Let v(r) = -6*i(r) + 5*n(r). Solve v(y) = 0 for y.
-2, 0, 1
Suppose -2 + 8 = 2*t. Let m(z) be the third derivative of -1/36*z**4 - z**2 + 1/27*z**t - 1/540*z**6 + 1/90*z**5 + 0*z + 0. Factor m(l).
-2*(l - 1)**3/9
Let s be 8/5 + (-6)/(-15). Let b(g) = 2*g - 3. Let o be b(3). Let 4*d - 4*d**o - 12*d + 2*d**3 + 8*d**s = 0. Calculate d.
0, 2
Let y be 3/6*-2*(1 - 4). Suppose -2/3*i**y + 34/3*i**2 - 8/3*i - 26/3*i**4 - 8/3 + 10/3*i**5 = 0. Calculate i.
-1, -2/5, 1, 2
Let y(w) be the first derivative of -w**5/60 + w**4/12 - w**3/6 - 3*w**2/2 - 3. Let r(q) be the second derivative of y(q). Factor r(p).
-(p - 1)**2
Let u(v) be the third derivative of 2*v**7/525 + v**6/50 - 34*v**2. Factor u(f).
4*f**3*(f + 3)/5
Let b be (-6)/9 - (-32)/(-6). Let k be (3/b)/(2/(-12)). Determine i so that -4*i**4 - 2*i**5 - 3*i + k*i - 2*i**3 = 0.
-1, 0
Let b(r) = 15*r**2 - 5. Let a(h) = h - 1. Let o(x) = 5*a(x) - b(x). Determine k, given that o(k) = 0.
0, 1/3
Let k(r) = r**3 - 7*r**2 + 7*r + 3. Let v(j) = -2*j**3 + 15*j**2 - 15*j - 7. Let a(s) = 14*k(s) + 6*v(s). Find w such that a(w) = 0.
0, 2
Let u(h) = 8*h**4 + 6*h**3 - 2*h**2 - 4*h. Suppose -2*y = -2 + 8. Let v be (y - 1)/(1/1). Let p(b) = -b. Let i(f) = v*p(f) + u(f). Factor i(a).
2*a**2*(a + 1)*(4*a - 1)
Let j(h) be the third derivative of -h**8/840 + h**7/525 + 8*h**2 + 2. Factor j(p).
-2*p**4*(p - 1)/5
Let g be 10/21 - (-2)/(-6). Let n(d) be the first derivative of -g*d**2 - 1/21*d**6 + 2/7*d + 1 + 2/35*d**5 - 4/21*d**3 + 1/7*d**4. Factor n(j).
-2*(j - 1)**3*(j + 1)**2/7
Find t such that 1/5*t + 1/5*t**2 - 2/5 = 0.
-2, 1
Let g(h) be the second derivative of -5/2*h**3 + 1/2*h**6 - 1/14*h**7 + 0 - 3/2*h**5 + 5/2*h**4 - 7*h + 3/2*h**2. Suppose g(b) = 0. Calculate b.
1
Let a(t) be the second derivative of -t**6/45 - t**5/15 - t**4/18 + 4*t. What is i in a(i) = 0?
-1, 0
Let y(x) = 3*x**3 - 9*x**2 + x + 5. Let w(o) = 9*o**3 - 26*o**2 + 3*o + 14. Let p(k) = 4*w(k) - 11*y(k). Factor p(h).
(h - 1)**2*(3*h + 1)
Let v(n) be the first derivative of 1 - 4/3*n**3 + 0*n**4 + 0*n - n**2 + 4/5*n**5 + 1/3*n**6. Factor v(b).
2*b*(b - 1)*(b + 1)**3
Determine s, given that 4*s - 2*s**3 - 35*s**2 - 4*s + 40*s + 80 + 7*s**3 = 0.
-1, 4
Let u(h) be the second derivative of 0 + 8*h - 3/8*h**3 - 1/4*h**2 + 7/120*h**6 + 9/80*h**5 - 5/48*h**4. Determine t so that u(t) = 0.
-1, -2/7, 1
Let s(u) be the third derivative of 5*u**2 - 1/20*u**5 + 0*u - 9/70*u**7 + 3/20*u**6 + 0*u**4 + 1/28*u**8 + 0*u**3 + 0. Find m such that s(m) = 0.
0, 1/4, 1
Let 7*v**5 + 2*v**2 - 4*v**4 + 2*v - 8*v**5 - v**3 + v**4 + v**2 = 0. What is v?
-2, -1, 0, 1
Let b(s) be the third derivative of -s**5/270 + s**4/108 + 8*s**2. Suppose b(a) = 0. What is a?
0, 1
Let i(m) = m**3 - 2*m**2 + 3*m + m**3 + 2 - 4. Let f(z) = -z**3 - z**2 + 1. Let j(w) = -f(w) - i(w). Factor j(u).
-(u - 1)**3
Let s(g) = -3*g**2 + 4*g - 5. Let v(y) = -2*y**2 + 2*y - 3. Let p(f) = 6*s(f) - 10*v(f). Factor p(h).
2*h*(h + 2)
Let g(y) be the third derivative of y**8/2184 - y**7/273 + y**6/195 + 8*y**5/195 - 8*y**4/39 + 16*y**3/39 - 30*y**2. Solve g(i) = 0.
-2, 1, 2
Let b(n) be the third derivative of -1/6*n**5 - 1/3*n**4 + 0*n + n**2 + 0 - 4/15*n**3. Find t such that b(t) = 0.
-2/5
Let x = -8/5 - -34/15. Factor -4/3*f - x - 2/3*f**2.
-2*(f + 1)**2/3
Suppose -2*d - 17 = -21. Let q(i) be the first derivative of 0*i**3 - 1/9*i**6 + 0*i - d - 2/5*i**5 - 1/3*i**4 + 0*i**2. What is v in q(v) = 0?
-2, -1, 0
Let u be -2 - 0/(-1) - -2. Let p be 2 - 0/(u - -1). Factor -2 + 4*j + 0 - p*j**2 + 0*j**2.
-2*(j - 1)**2
Let r be (-33 + 33)*(-2)/(-4). Let c(a) be the third derivative of -1/15*a**5 + 1/100*a**6 + r*a + a**2 - 2/15*a**3 + 3/20*a**4 + 0. Factor c(b).
2*(b - 2)*(b - 1)*(3*b - 1)/5
Let n(q) be the third derivative of -q**8/4 - 8*q**7/21 + 17*q**6/30 + 4*q**5/3 + 2*q**4/3 + 13*q**2. Determine m so that n(m) = 0.
-1, -2/3, -2/7, 0, 1
Let l(y) be the third derivative of 0*y**3 - 1/20*y**5 - 1/336*y**8 - 1/120*y**6 + 0 + 0*y + 1/12*y**4 + 1/70*y**7 - 3*y**2. Factor l(v).
-v*(v - 2)*(v - 1)**2*(v + 1)
Let t be (-7)/2*(-4)/7. Factor 0*b**3 + 3 - 1 + 2*b - 2*b**3 - 2*b**t.
-2*(b - 1)*(b + 1)**2
Let c(p) = -2 + 8*p + 2 + 6 + 2*p**2. Let h(n) = 2*n - 2*n - 3*n - 4 - n**2 + 2. Let w(d) = 3*c(d) + 8*h(d). What is m in w(m) = 0?
-1, 1
Suppose y + 2*y = 9. Let w = y + -2. Factor o**2 + 3*o + o**3 - 4*o**2 + 0 - w.
(o - 1)**3
Let w(g) = -g - 6. Let c be w(-6). Let i be 0/(9 + -8 - 0/(-3)). Factor 2/13*m**2 + c + i*m.
2*m**2/13
Let y(z) be the second derivative of -1/25*z**5 + 0*z**2 + 1/75*z**6 + 0*z**4 + 0 + 6*z + 0*z**3. Factor y(n).
2*n**3*(n - 2)/5
Let j be (-6)/15 + 57/5. Find r, given that 10*r**3 - 3*r**3 - 2*r**4 + j*r**4 - r**2 - r**2 = 0.
-1, 0, 2/9
Let q(g) be the second derivative of g**7/840 - g**6/480 - g**5/240 + g**4/96 + 2*g**2 - g. Let f(w) be the first derivative of q(w). Factor f(h).
h*(h - 1)**2*(h + 1)/4
Let s(g) be the first derivative of -2*g**5/15 + g**4/2 - 2*g**3/3 + g**2/3 + 2. Factor s(u).
-2*u*(u - 1)**3/3
Let x(y) = y**2 + y - 5. Let h be x(0). Let l = -3 - h. Determine k so that -3*k**2 - l*k + k**2 - 2*k = 0.
-2, 0
Let b(r) be the third derivative of r**8/28 - r**7/21 - r**6/45 + r**5/90 - 6*r**2 + 2*r. Find d such that b(d) = 0.
-1/3, 0, 1/6, 1
Let q(y) be the first derivative of 14*y**5/25 - 8*y**4/5 + 22*y**3/15 - 2*y**2/5 + 5. Factor q(b).
2*b*(b - 1)**2*(7*b - 2)/5
Let y = 519 + -1035/2. Let y*s**3 + 3/4*s**4 + 0*s + 0 + 0*s**2 - 3/4*s**5 = 0. What is s?
-1, 0, 2
Let b(o) be the first derivative of -o**6/3 - 2*o**5 - 4*o**4 - 8*o**3/3 - 5. Factor b(y).
-2*y**2*(y + 1)*(y + 2)**2
Let x = -1 - -7. Factor a**3 - a**3 + x*a**3 - 4*a**2 - 2*a**3.
4*a**2*(a - 1)
Let i = 1657/24 + -69. Let b(p) be the first derivative of -1/8*p**4 + 0*p**3 + i*p**6 + 1/8*p**2 + 0*p**5 + 0*p - 1. Determine s, given that b(s) = 0.
-1, 0, 1
Suppose -d - 3*d - 12 = 0. Let c = 5 + d. Solve 0 + 0*l - 2/7*l**c + 2/7*l**4 + 2/7*l**5 - 2/7*l**3 = 0 for l.
-1, 0, 1
Let s(k) be the first derivative of -4*k**5/15 