 1)**2
Let h(y) = 8*y**3 + 24*y**2 - 25. Let d(t) = -4*t**3 - 12*t**2 + 12. Let a(r) = 7*d(r) + 4*h(r). What is w in a(w) = 0?
-2, 1
Determine g, given that -120*g - 3*g**2 - 185*g + 353*g - 432 - 120*g = 0.
-12
Let g = -1 - -15. Let k = g + -11. Find q, given that 2/7*q**k + 16/7*q + 8/7 + 10/7*q**2 = 0.
-2, -1
Let v(f) = f**2 - 60*f + 70. Let z(r) = -12*r + 14. Let b(d) = -4*v(d) + 22*z(d). Factor b(a).
-4*(a - 1)*(a + 7)
Let a(b) = -17*b**5 + b**4 + 8*b**3 + 8*b**2 - 9. Let r(h) = -4*h**5 + 2*h**3 + 2*h**2 - 2. Let g = 13 + -22. Let d(k) = g*r(k) + 2*a(k). Factor d(l).
2*l**2*(l - 1)*(l + 1)**2
Let r(q) be the first derivative of -q**6/42 - 6*q**5/35 - 3*q**4/7 - 10*q**3/21 - 3*q**2/14 - 5. Solve r(d) = 0 for d.
-3, -1, 0
Let t(b) be the first derivative of 0*b - 1/45*b**5 + b**2 - 1 + 1/36*b**4 + 0*b**3. Let f(s) be the second derivative of t(s). Solve f(o) = 0 for o.
0, 1/2
Let d(t) = -t**3 + 4*t**2 + 2*t - 2. Let u be d(4). Factor 2 - c + 0*c + u*c - 4*c - c**2.
-(c - 2)*(c + 1)
Suppose 0 = b + 5*b. Let q(w) be the first derivative of b*w**3 - 2 + 2/5*w - 2/25*w**5 - 1/5*w**4 + 2/5*w**2. Determine u, given that q(u) = 0.
-1, 1
Let k(a) = -5*a**2 + 4*a - 9. Let j(t) = 4*t**2 + 7*t**2 + 0*t**2 + 19 - 9*t. Let y(r) = -6*j(r) - 13*k(r). Determine z so that y(z) = 0.
-1, 3
Let u(p) be the first derivative of p**4/10 - 4. Let u(j) = 0. Calculate j.
0
Suppose -2/11*x + 2/11*x**2 + 0 = 0. What is x?
0, 1
Let t(z) = -z**3 + 8*z**2 - 5*z - 10. Let a be t(7). Suppose 0*u + 8 = a*u. Suppose -4*x**3 + 5*x**u + x + x + 6*x**3 + x**4 + 2*x**3 = 0. What is x?
-2, -1, 0
Let f(p) be the second derivative of p**6/30 + p**5/10 - p**4/12 - p**3/3 + 24*p. Find h such that f(h) = 0.
-2, -1, 0, 1
Let s be (1/(-2))/(9/(-54)). Let v(t) be the third derivative of -1/210*t**5 + 0*t + 0 - 2*t**2 - 1/28*t**4 - 2/21*t**s. Factor v(z).
-2*(z + 1)*(z + 2)/7
What is b in 0 - 2/9*b**2 + 8/9*b = 0?
0, 4
Let w(o) be the third derivative of o**6/180 + o**5/90 - 13*o**2. Factor w(z).
2*z**2*(z + 1)/3
Let k be (2 - 2)/5 + 1. Let j = k - 1/3. Factor 8/3*d**2 + 1/3*d - j + 5/3*d**3.
(d + 1)**2*(5*d - 2)/3
Solve 3*s**5 + 8 - 20*s**2 + 5*s + 10*s**2 + 5*s**4 - 10*s**3 + 2*s**5 - 3 = 0.
-1, 1
Let o(j) be the second derivative of j**4/6 + 10*j**3/3 + 25*j**2 - 20*j. Factor o(u).
2*(u + 5)**2
Let o be (-1 - -3)*1/(-23). Let y = 60/161 + o. Factor 0*q - y + 2/7*q**2.
2*(q - 1)*(q + 1)/7
Let x(c) be the third derivative of -c**8/1344 - c**7/210 - c**6/80 - c**5/60 - c**4/96 + 36*c**2. Factor x(o).
-o*(o + 1)**4/4
Suppose -3*z - 10 = -5*o, 0*o = -5*z - o + 2. Let w(n) be the first derivative of z*n**2 + 7/8*n**4 + 1/3*n**3 + 0*n + 1. Determine s so that w(s) = 0.
-2/7, 0
Let x(m) be the third derivative of m**5/150 - m**4/30 - m**3/5 + 4*m**2. Factor x(b).
2*(b - 3)*(b + 1)/5
Let c = -7 - -11. Suppose -s = g - 3*g + 3, 0 = -2*g - c*s - 12. Suppose 2/3*q**3 + 4/3*q**2 + 0*q + g = 0. Calculate q.
-2, 0
Let b(g) be the third derivative of -g**5/60 - g**4/8 + g**3/3 + g**2. Let z be b(-3). Solve 4*s**2 + 4*s - z*s**2 + 0*s**3 - 2*s**3 = 0.
-1, 0, 2
Suppose l = -9 + 5, -4*p + 3*l + 28 = 0. Factor 0*c + 0*c**3 + 1/4*c**p - 1/2*c**2 + 1/4.
(c - 1)**2*(c + 1)**2/4
Let h(p) = -2*p**2 - 6*p + 4. Let k be h(-3). Let w(z) be the second derivative of -3*z + 0 - 1/36*z**k - 1/18*z**3 + 0*z**2. Factor w(g).
-g*(g + 1)/3
What is u in 8*u + 2*u**2 - 3*u + 27*u + 128 = 0?
-8
Let z(d) = -d**5 + d**4 + d**3 + d**2 - d + 1. Let k(h) = -h**5 + 5*h**4 + 2*h**3 + 6*h**2 - 5*h + 5. Let i(o) = -k(o) + 5*z(o). Factor i(n).
-n**2*(n + 1)*(2*n - 1)**2
Let p(c) be the first derivative of -2 - 1/5*c**6 + 0*c**2 + 1/3*c**3 - 1/10*c**5 - c + 1/2*c**4. Let k(w) be the first derivative of p(w). Factor k(h).
-2*h*(h - 1)*(h + 1)*(3*h + 1)
Let p(q) = q**5 - q**2 - q + 1. Let h(b) = 12*b**5 + 14*b**4 + 36*b**3 + 30*b**2 + 6*b + 10. Let o(t) = h(t) - 10*p(t). Factor o(v).
2*v*(v + 1)*(v + 2)**3
Solve 1/6*z**2 - 1/6*z**4 + 0 + 0*z + 0*z**3 = 0 for z.
-1, 0, 1
Let y be (-4)/12 - (0 + (-28)/30). Factor 3/5*o**2 - y + 0*o.
3*(o - 1)*(o + 1)/5
Let g(y) be the third derivative of y**8/23520 - y**6/2520 - 5*y**4/12 - 9*y**2. Let b(k) be the second derivative of g(k). Factor b(n).
2*n*(n - 1)*(n + 1)/7
Let c(y) = y**2 - 2*y - 3. Let g be c(-1). Factor 0*d - 1/2*d**3 + g + 0*d**2.
-d**3/2
Let c = -8 + 8. Suppose 6 = l + t, 3*l + c*t + t - 10 = 0. Solve 2/9*i - 2/9*i**l + 4/9 = 0 for i.
-1, 2
Let w(a) be the third derivative of 0*a - 2/5*a**5 + 1/10*a**6 - 1/105*a**7 - a**3 + 0 - 5*a**2 + 5/6*a**4. Factor w(j).
-2*(j - 3)*(j - 1)**3
Let t(y) be the first derivative of -y**2/2 - y + 3. Let o(m) = -2*m**2 + 4*m + 2. Let w = -2 + 0. Let j(x) = w*t(x) - o(x). Factor j(s).
2*s*(s - 1)
Factor -7*q + q - 8*q - 30*q**2 - 10*q**3 - 8*q**3 - 2.
-2*(q + 1)*(3*q + 1)**2
Factor 368/3*n + 1400/3*n**2 + 588*n**3 + 32/3.
4*(7*n + 2)**2*(9*n + 2)/3
Let y be 56/16 - 1/2. Factor -2*j + 4 - 1 - y + 2*j**3.
2*j*(j - 1)*(j + 1)
Factor 1/4*h**3 + 7/4*h + 3/4 + 5/4*h**2.
(h + 1)**2*(h + 3)/4
Let g(n) = 14*n**3 - n**2 - 18*n + 9. Let c(s) = 5*s**3 - 6*s + 3. Let b(o) = 11*c(o) - 4*g(o). Let i be b(5). Factor 0 + w - 1/2*w**i.
-w*(w - 2)/2
Suppose 0 = -3*u + 22 - 16. Factor 1/5*w + 0 - 1/5*w**3 + 0*w**u.
-w*(w - 1)*(w + 1)/5
Let p(t) be the first derivative of 9/2*t**2 + 1/4*t**4 - 4*t - 2*t**3 + 4. Factor p(y).
(y - 4)*(y - 1)**2
Let k(f) = 3*f**5 + 3*f**4 + 6*f**3 + 2*f**2 + f - 5. Let v(b) = b**2 - 2 + b**5 + b**4 + 0*b**5 + 3*b**3 + 0*b**5. Let a(o) = 2*k(o) - 5*v(o). Factor a(l).
l*(l - 1)**2*(l + 1)*(l + 2)
Let h(l) = 3*l + 17. Let n be h(-15). Let c = n - -33. Solve 0*v - 3/2*v**4 - 1/2*v**2 + 0 + 3/2*v**3 + 1/2*v**c = 0.
0, 1
Let p = -5 + 10. Suppose -4*a = -7 - p. Solve -d + 3*d**2 + d**4 - d**3 - 3*d**3 + d**a = 0.
0, 1
Factor -30*l + 5*l**2 + 33 + 212 - 40*l.
5*(l - 7)**2
Let i(t) be the third derivative of 0 + 0*t - 1/210*t**6 - 2/21*t**3 - 1/210*t**5 + 5/84*t**4 - t**2. Factor i(j).
-2*(j - 1)*(j + 2)*(2*j - 1)/7
Let s(w) = -4*w**3 + 5. Let r(l) = l**3 + 2*l**2 + 2. Let i be r(-2). Let c(m) = 2*m**3 - 2. Let n(g) = i*s(g) + 5*c(g). Factor n(a).
2*a**3
Let j = -38 - -51. Suppose 2*d = -2*d + 5*f + j, f = -1. Factor 0 - 2/7*a**5 - 2/7*a**4 + 2/7*a**d + 0*a + 2/7*a**3.
-2*a**2*(a - 1)*(a + 1)**2/7
Let b(s) = -2*s**5 + 3*s**4 - s**2 + 1. Let j = 4 + -5. Let k(n) = -n**5 + n**4 + n**3 - n**2 + 1. Let r(t) = j*b(t) + k(t). Factor r(x).
x**3*(x - 1)**2
Let m(a) = -a**3 - 8*a**2 + 2*a + 15. Let i(x) = 8*x**2 - 2*x - 14. Let y(j) = 3*i(j) + 2*m(j). Solve y(c) = 0 for c.
-1, 2, 3
Let c be 2 + (-35)/(-63)*(-3)/2. Let k(i) be the first derivative of c*i**2 + 2/3*i + 2 + 1/4*i**4 + 8/9*i**3. Factor k(a).
(a + 1)**2*(3*a + 2)/3
Let i(w) = -4*w**5 + 7*w**4 - 8*w**3 - 16*w**2 + 3. Let p(l) = 7*l**5 - 14*l**4 + 16*l**3 + 32*l**2 - 5. Let y(x) = -5*i(x) - 3*p(x). Factor y(m).
-m**2*(m - 4)**2*(m + 1)
Let c be (-15)/378*8/(-20). Let a(s) be the second derivative of 0 - 1/18*s**4 + c*s**7 + 1/45*s**6 + 0*s**2 + 0*s**3 + 2*s - 1/30*s**5. Factor a(h).
2*h**2*(h - 1)*(h + 1)**2/3
Suppose -5*z = -2*z - 9. Let 11*a**3 - 5*a**z - 6*a**2 + 2*a + 0*a**4 - 2*a**4 = 0. What is a?
0, 1
Let c(j) = -j**2 + 10*j - 13. Let s be c(8). Let a(b) be the second derivative of 0 - 2*b**2 + 2*b + 2*b**s - 1/30*b**6 + 3/10*b**5 - 13/12*b**4. Factor a(r).
-(r - 2)**2*(r - 1)**2
Let x(p) be the second derivative of -11/12*p**3 + 4*p - 3/8*p**4 - 1/2*p**2 + 0. Suppose x(d) = 0. What is d?
-1, -2/9
Let t(r) = 5*r**5 - 5*r**3 - 4*r - 4. Suppose -5*f - 16 = -f. Let l(p) = -9*p**5 + 9*p**3 + 7*p + 7. Let n(x) = f*l(x) - 7*t(x). Factor n(y).
y**3*(y - 1)*(y + 1)
Let j(m) be the second derivative of -m**5/5 - 7*m**4/3 - 22*m**3/3 - 10*m**2 - 46*m. Solve j(z) = 0 for z.
-5, -1
Let o(t) be the third derivative of -1/40*t**5 + 2*t**2 - 1/16*t**4 + 1/2*t**3 + 0*t + 0. Let o(v) = 0. Calculate v.
-2, 1
Let r(u) = -u**5 + u**4 - 15*u**3 + 5*u**2 + 10*u. Let z(n) = -2*n**5 + 2*n**4 - 45*n**3 + 15*n**2 + 30*n. Let b(a) = -17*r(a) + 6*z(a). Factor b(j).
5*j*(j - 2)*(j - 1)*(j + 1)**2
Solve -1/4*z**2 + 1/4*z**4 + 1/8*z - 1/8*z**5 + 0 + 0*z**3 = 0 for z.
-1, 0, 1
Suppose 12 = 4*i - 2*z, -i - z = -0*i. Solve -r**i - 2*r + 2*r**3 + r**2 + r**4 + 0*r**4 - 1 = 0.
-1, 1
Let v be (3/(-2))/((-15)/20). Let -v*j - 