l(f) be the third derivative of -f**5/60 + f**4/12 + 8*f**2. Factor l(j).
-j*(j - 2)
Let c(a) = a**4 - a. Let f(o) = 7*o**4 - 42*o**3 + 74*o**2 - 47*o + 8. Let n(z) = -c(z) - f(z). Determine q, given that n(q) = 0.
1/4, 1, 2
Suppose -2*k - 3*y + 8 = -20, 2*y = 4. Let i(b) = b - 11. Let v be i(k). Solve -2/3*m**4 + 0*m + 0*m**3 + v*m**2 + 2/3*m**5 + 0 = 0.
0, 1
Factor 2*f + 1/2*f**2 + 2.
(f + 2)**2/2
Let b(h) be the first derivative of -h**4/4 + h**2/2 + 8. Solve b(v) = 0.
-1, 0, 1
Let o = 0 + 0. Suppose -5*x - 3*b + 7*b = -10, o = -4*b. Let -5*d + 5*d - 2*d**3 + 2*d**x = 0. Calculate d.
0, 1
Suppose 8*p = 12*p. Solve 19 + p*s + 0*s - 21 + 2*s**2 = 0.
-1, 1
Let p be (-9 - -6) + 10/2. Let f be p + (0 - 48/28). Factor 0 + 2/7*w - f*w**2.
-2*w*(w - 1)/7
Let f(q) be the third derivative of q**8/112 + 11*q**7/70 + 3*q**6/5 - 9*q**5/5 + 11*q**2. Factor f(v).
3*v**2*(v - 1)*(v + 6)**2
Let b be (-16)/(-7) + (-6)/21. Let 2*o**4 + 3*o**3 - o**2 - o**b + 3*o**2 = 0. What is o?
-1, -1/2, 0
Suppose 0 = -4*l + 4*c + 52, 3*c + 22 = 2*l - c. Suppose 5*p = -0*p + l. Factor 0 - 1/3*i**4 - i**2 - i**p - 1/3*i.
-i*(i + 1)**3/3
Let q(o) = -6*o**2 + 9*o + 1. Suppose 1 = v, 2*v + 0 + 18 = -4*n. Let s(b) = -5*b**2 + 8*b. Let l(u) = n*s(u) + 4*q(u). Factor l(i).
(i - 2)**2
Let j = -1 - -1. Let s = -7 - -9. Factor -s*q**2 + 2*q**4 + 0*q**4 + j*q**2.
2*q**2*(q - 1)*(q + 1)
Let j(u) be the first derivative of u**7/420 + u**6/120 - u**4/24 - u**3/12 + u**2 - 1. Let f(a) be the second derivative of j(a). Factor f(s).
(s - 1)*(s + 1)**3/2
Suppose 4*m + 4 = 5*m. Suppose -6*f + 14 = -m*f + 5*k, f - 8 = -3*k. Factor 0*t + f*t**2 - t**4 - t + t**5 - t**4.
t*(t - 1)**3*(t + 1)
Let w = 0 - 6. Let d be (w/8)/(294/(-112)). Factor 2/7*g + 0 - d*g**2.
-2*g*(g - 1)/7
Factor 0 + 0*h - 1/11*h**4 - 4/11*h**2 + 4/11*h**3.
-h**2*(h - 2)**2/11
Suppose 0 = 2*c - 4. Factor 4*x**2 + 4*x**3 - 2*x**c - 4*x**2 - 2*x**3.
2*x**2*(x - 1)
Let j be -3 + (-102)/(-21) + (-7)/(-49). Solve -1/4*p**3 - 27/4 - 27/4*p - 9/4*p**j = 0 for p.
-3
Suppose -l + a - 17 = -3*a, 4*l + 2*a = 22. Let t(k) be the first derivative of 1/5*k**2 - 2/3*k**l - 8/25*k**5 + 0*k - 1 + 4/5*k**4. Solve t(m) = 0 for m.
0, 1/2, 1
Let z be 18/15 - 6/6. Let z*w**2 - 1/5 + 0*w = 0. Calculate w.
-1, 1
Let z(u) = u + 10. Let w be z(-10). Let b be (w/(1/1))/(-3). Suppose b - 4/5*a - 2/5*a**2 = 0. What is a?
-2, 0
Solve 0*h**2 - 3*h**2 - 13*h**2 + 3*h**4 - h**3 + 4*h + h**4 = 0 for h.
-2, 0, 1/4, 2
Let g be 264/121 + 2/(-11). Solve -2*r**2 - 51*r**3 + 2*r + 2*r**2 - 2*r**2 + 49*r**3 + g = 0 for r.
-1, 1
Let r(a) = -13*a**3 - 5*a**2 + a - 7. Let q(c) = 7*c**3 + 3*c**2 + 4. Suppose -3*t = -4*u + 26, -3*u - 3*t + 19 = 2*u. Let y(p) = u*q(p) + 3*r(p). Factor y(n).
-(n + 1)*(2*n - 1)**2
Factor -12 + 6*j**2 + 21*j + 25*j**4 - 24*j**3 + 25*j**4 + 3*j**5 - 44*j**4.
3*(j - 1)**3*(j + 1)*(j + 4)
Let g be 0*(0 - (-2)/4). Let v(b) be the first derivative of g*b - 1/4*b**2 + 1/8*b**4 + 2 + 0*b**3. What is o in v(o) = 0?
-1, 0, 1
Let z(u) be the third derivative of u**7/70 + u**6/40 - u**5/20 - u**4/8 + 3*u**2. Determine p so that z(p) = 0.
-1, 0, 1
Let j(f) = 1. Let c be 0 - 3 - -4*2. Suppose 0 = -c*b - 7 + 2. Let t(r) = -2*r**2 + 12*r - 13. Let g(u) = b*t(u) + 5*j(u). Solve g(y) = 0 for y.
3
Let t(f) be the third derivative of f**6/140 - f**5/35 - f**4/4 - 4*f**3/7 - 37*f**2. Determine r, given that t(r) = 0.
-1, 4
Let x(b) be the first derivative of 2/9*b**3 + b**2 - 1/2*b**4 + 1 - 4/3*b + 2/15*b**5. Solve x(v) = 0.
-1, 1, 2
Let f(y) be the second derivative of -y**5/20 + y**4/4 - y**3/2 + y**2 + 6*y. Let r be f(2). Solve r*k + 0 - 1/2*k**5 + 0*k**4 + 0*k**3 + 0*k**2 = 0 for k.
0
Let y(f) = 3*f**2 - 2*f + 2. Let a be y(2). Suppose 6 + 16*n**2 + 4*n - 5*n**2 - 25*n + a*n**2 - 6*n**3 = 0. Calculate n.
1/2, 1, 2
Let o(m) = 2*m**4 - 2*m**3 + 2*m**2 + 2. Let k(n) = -8*n**4 + 8*n**3 - 9*n**2 - 9. Let b(z) = -4*k(z) - 18*o(z). Suppose b(h) = 0. Calculate h.
0, 1
Let g(c) be the first derivative of c**6/360 + 3*c**2/2 - 5. Let p(m) be the second derivative of g(m). Factor p(x).
x**3/3
Let n(q) = q**3 + 5*q**2 - 7*q - 4. Let t be n(-6). Suppose 4*w + 2*j + 10 = 28, -j - 3 = -t*w. What is o in -3*o**w + 6*o**4 - 2*o**2 + 7*o**3 + 0*o**4 = 0?
-1, 0, 1/3
Let a = 1031 + -17499/17. Let t = 342/187 - a. Find q, given that -6/11*q**2 - 6/11*q - t - 2/11*q**3 = 0.
-1
Let s be 58/126 + (-36)/(-84). Suppose -10*d**4 + 74/9*d**3 + 8/3*d**2 - s*d + 0 = 0. What is d?
-2/5, 0, 2/9, 1
Let v = -36 + 44. Find g such that -v*g + 1 + 77/4*g**2 - 49/4*g**3 = 0.
2/7, 1
Let b(a) be the third derivative of a**7/1260 - a**6/60 + 3*a**5/20 - 3*a**4/4 + 9*a**3/4 + 3*a**2. Factor b(u).
(u - 3)**4/6
Let f(g) be the second derivative of -g**7/63 + g**6/20 - g**5/60 + 2*g. Factor f(z).
-z**3*(z - 2)*(4*z - 1)/6
Let l(f) be the third derivative of -f**5/270 - 11*f**4/54 - 121*f**3/27 + 31*f**2. Factor l(n).
-2*(n + 11)**2/9
Let o be (2/8)/((-22)/36). Let n = o - -10/11. Factor -n*u**2 + u - 1/2.
-(u - 1)**2/2
Factor 5/7*p + 0 - 1/7*p**2.
-p*(p - 5)/7
Let i be (3 - 60/21)*(-9 + 11). Factor -2/7*g**2 - 2/7*g**3 + 2/7*g**4 + 0 + i*g.
2*g*(g - 1)**2*(g + 1)/7
Let p(g) = 10*g**2 + g + 3. Let w be -1 - (1 + -1 + 2). Let z(u) be the third derivative of u**5/6 + 2*u**3/3 - 2*u**2. Let x(t) = w*z(t) + 4*p(t). Factor x(m).
2*m*(5*m + 2)
Let y(f) be the third derivative of -f**8/1512 - 2*f**7/945 - f**6/540 + 2*f**2. Determine p so that y(p) = 0.
-1, 0
Factor 17*n + 7*n - 6 + 0*n - 3 - 15*n**2.
-3*(n - 1)*(5*n - 3)
Let r(q) be the first derivative of -2/7*q**2 + 2/21*q**3 - 2 + 2/7*q. Factor r(x).
2*(x - 1)**2/7
Suppose 0 = -4*k - z + 5, -2*k + 12 - 27 = -3*z. Let -m + m - 3*m**2 - 6*m + k*m**2 = 0. What is m?
-2, 0
Let o(b) = 2*b**2 - 2*b + 2. Suppose 0 = -3*h - 3*n - 9, -4 = -3*h + 2*n + 7. Let a be o(h). Factor 3/5 + 3/5*q**a - 6/5*q.
3*(q - 1)**2/5
Let w(o) be the first derivative of -o**3/21 - o**2/7 - o/7 + 5. Solve w(r) = 0.
-1
Suppose 5*d + w = 9, -4*d + 13 = -0*w - 5*w. Suppose 21/5*q - 21/5*q**3 - 6/5 + 6/5*q**d = 0. What is q?
-1, 2/7, 1
Let n(y) be the second derivative of -y**7/21 - y**6/15 + y**5/5 + y**4/3 - y**3/3 - y**2 + 4*y. Factor n(s).
-2*(s - 1)**2*(s + 1)**3
Let a = -10 + 16. Factor 2 + 0*p**3 - 6*p - 4 - a*p**2 - 2*p**3.
-2*(p + 1)**3
Let a = 1 - 2. Let s = a - -5. Find o such that -2*o**2 + o - 2*o**2 + 2*o**5 + s*o**4 - 3*o = 0.
-1, 0, 1
Let r(m) be the third derivative of m**5/12 - 55*m**4/12 + 605*m**3/6 - 34*m**2. Suppose r(n) = 0. Calculate n.
11
Let c(o) be the second derivative of 0*o**4 - 1/18*o**3 + 1/180*o**5 - o**2 + o + 0. Let q(h) be the first derivative of c(h). Factor q(f).
(f - 1)*(f + 1)/3
Let p(w) = 11*w**2 - 2*w + 5. Let g(a) = -5*a**2 + a - 2. Let t(i) = -9*g(i) - 4*p(i). Factor t(u).
(u - 2)*(u + 1)
Let a(y) be the third derivative of y**7/630 + y**6/180 - y**5/180 - y**4/36 - 11*y**2. Solve a(l) = 0.
-2, -1, 0, 1
Let n(b) be the first derivative of -2*b**5/5 + b**4/4 + b**3/3 + 7. Factor n(q).
-q**2*(q - 1)*(2*q + 1)
Let r(l) = -18*l**5 + 152*l**4 - 350*l**3 + 386*l**2 - 118*l. Let g(s) = 2*s**5 - 17*s**4 + 39*s**3 - 43*s**2 + 13*s. Let h(m) = 52*g(m) + 6*r(m). Factor h(j).
-4*j*(j - 2)**3*(j - 1)
Let m(g) be the first derivative of g**4/4 - g**3/2 - 3*g**2 - 3*g + 2. Let c(z) be the first derivative of m(z). Factor c(l).
3*(l - 2)*(l + 1)
Let n(o) be the second derivative of -o**4/4 - o**3 - 3*o**2/2 + 4*o. What is h in n(h) = 0?
-1
Let d(z) be the first derivative of -2*z**3/3 - 10. Determine u, given that d(u) = 0.
0
Let w(d) be the second derivative of -9/20*d**5 - 3/4*d**4 + 0 - 1/10*d**6 - 1/2*d**3 + 0*d**2 - 4*d. Factor w(p).
-3*p*(p + 1)**3
Let r(n) be the second derivative of n**6/12 - n**5/4 + 5*n**3/6 - 5*n**2/4 + 10*n. Factor r(m).
5*(m - 1)**3*(m + 1)/2
Let c(b) be the second derivative of -b**4/54 + 5*b**3/27 - 4*b**2/9 + 27*b. Find y, given that c(y) = 0.
1, 4
Let x be -2 + 0*(4 + -3). Let h be 7/3 + x/6. Factor -1/5*j**h - 1/5*j**3 + 0 + 1/5*j + 1/5*j**4.
j*(j - 1)**2*(j + 1)/5
Let l = 9 + -5. Let z be 20/l + 1*-1. Factor 0*h**5 - z*h**3 + 3*h**5 - h**2 - h**3 - 7*h**4 - 6*h**5.
-h**2*(h + 1)**2*(3*h + 1)
Let d(x) be the second derivative of 0 + 2/15*x**3 + 6*x - 1/5*x**2 - 1/30*x**4. What is o in d(o) = 0?
1
Let k = -33 - -36. Let x(