2 = 0. What is u?
3
Let y = -2 - -8. Let v(h) = -23*h**4 + 24*h**3 - 53*h**2 + 24*h + 11. Let z(m) = -4*m**4 + 4*m**3 - 9*m**2 + 4*m + 2. Let u(k) = y*v(k) - 34*z(k). Factor u(r).
-2*(r - 1)**4
Factor 4*k**3 + 50*k + k**4 + 4*k**2 - 5*k**4 - 54*k.
-4*k*(k - 1)**2*(k + 1)
Let b be (-20)/(-35) - (-16)/56. Suppose -b*z + 6/7*z**3 - 3/7*z**2 + 3/7 = 0. Calculate z.
-1, 1/2, 1
Let f(o) be the second derivative of -3*o - 1/20*o**4 + 0 - 1/100*o**5 + 2/5*o**2 + 0*o**3. Factor f(j).
-(j - 1)*(j + 2)**2/5
Factor -7*t**4 - 3*t**4 + 29*t**3 + 27*t + 7*t**3 + 10*t**5 - 54*t**2 - 9*t**5.
t*(t - 3)**3*(t - 1)
Let d be (5/(-2))/(4/8). Let l be (d - -4)/((-2)/8). Factor 0 - 1/3*k + 1/3*k**3 - 1/3*k**l + 1/3*k**2.
-k*(k - 1)**2*(k + 1)/3
Let h be (9 - -98)/(8/10). Let t = h + -133. Determine f so that 1/2*f + 0 - 5/4*f**2 + t*f**3 = 0.
0, 2/3, 1
Let d(c) be the first derivative of -c**3 + 9. Factor d(o).
-3*o**2
Factor s - 22*s - 16*s**2 + 9*s - 4*s**3.
-4*s*(s + 1)*(s + 3)
Let n(v) = -v**3. Let r be 25/(-15) - 4/(-6). Let s(x) = -2*x**2 - 2. Let k(w) = r*s(w) - 2*n(w). Let u(o) = o**2 + 1. Let h(m) = -k(m) + 2*u(m). Factor h(b).
-2*b**3
Suppose -k = -3*k + 12. Suppose -p + 3*p = 6. Determine q, given that -p*q - 6*q**3 + q + q**4 + k*q**2 + q**4 = 0.
0, 1
Let n(c) be the second derivative of c**7/280 + c**6/60 + c**5/40 - c**3/6 - 5*c. Let a(z) be the second derivative of n(z). Factor a(f).
3*f*(f + 1)**2
Let s be 1 - 2 - (-18 - -17). Factor -2/5*t + 4/5*t**2 + s - 2/5*t**3.
-2*t*(t - 1)**2/5
Let v(k) = 6*k**4 - 30*k**3 + 48*k**2 - 29*k. Let w(q) = 3*q**4 - 15*q**3 + 24*q**2 - 14*q. Let p(s) = 2*v(s) - 5*w(s). Factor p(i).
-3*i*(i - 2)**2*(i - 1)
Solve 1/7*w**2 + 4/7*w + 3/7 = 0 for w.
-3, -1
Let b(k) = -2*k**2. Let q(r) = r**2 + r. Let f(u) = -4*b(u) - 6*q(u). Suppose f(l) = 0. Calculate l.
0, 3
Let n(c) be the first derivative of -1/5*c**2 + 2/15*c**3 - 1 + 0*c. Factor n(x).
2*x*(x - 1)/5
Let p(r) be the second derivative of -r**7/112 + 3*r**6/80 - 3*r**5/80 - 6*r. Factor p(k).
-3*k**3*(k - 2)*(k - 1)/8
Let u be (5 - (-6)/2)*2. Let y be 2/8 - (-4)/u. Factor -1/2*f**2 - y*f**3 + 1/2*f + 1/2.
-(f - 1)*(f + 1)**2/2
Let s(u) be the first derivative of u**4/48 - 3*u + 1. Let l(r) be the first derivative of s(r). Solve l(x) = 0.
0
Determine s, given that 0*s - 9/4*s**4 + 3/2*s**5 + 0 + 0*s**3 + 3/4*s**2 = 0.
-1/2, 0, 1
Factor 2/3*n**3 + 2/3*n**4 - 4/3*n**2 + 0 + 0*n.
2*n**2*(n - 1)*(n + 2)/3
Let n be 4/(-18) - (-6)/27. Let d be n/4 + (-4)/(-2). Factor b**d - 5*b + 5*b.
b**2
Factor -2*f**2 + 12*f - 2*f**3 + 2*f**5 + 2*f**4 - 28*f + 16*f.
2*f**2*(f - 1)*(f + 1)**2
Let a(d) = d**3 - 69*d**2 - 867*d - 3459. Let r(u) = 5*u**3 - 415*u**2 - 5201*u - 20753. Let o(p) = 34*a(p) - 6*r(p). Determine x, given that o(x) = 0.
-12
Let r be (0 - 4/(-16))/((-6)/(-16)). Factor 2/3*m**3 + 0*m + r*m**2 + 0.
2*m**2*(m + 1)/3
Factor 2/7*y**5 + 0*y**2 + 0*y**3 + 4/7*y**4 + 0 + 0*y.
2*y**4*(y + 2)/7
Let u(o) = -1 - 11*o - 6 - 2*o**2 - 6 - 3*o**2. Let m(d) = 2*d**2 + 5*d + 6. Let a(j) = -14*m(j) - 6*u(j). Determine q so that a(q) = 0.
-1, 3
Let d be (-12)/(-15) + (-124)/180. Let x(j) be the third derivative of -1/315*j**7 + 1/45*j**6 - 1/9*j**3 - 1/15*j**5 + d*j**4 + 0 + 0*j - 2*j**2. Factor x(p).
-2*(p - 1)**4/3
Let k(u) be the third derivative of 3*u**8/112 + 5*u**7/42 + 7*u**6/40 + u**5/20 - u**4/12 + 27*u**2. Factor k(f).
f*(f + 1)**3*(9*f - 2)
Let p(b) be the first derivative of -2*b**3/3 - 4*b**2 - 8*b + 5. Factor p(s).
-2*(s + 2)**2
Let a(o) = o. Let p be a(5). Let v(g) be the first derivative of 0*g + 0*g**3 - g**p + 0*g**2 + 1/2*g**4 + 2. Factor v(x).
-x**3*(5*x - 2)
Let q(s) be the first derivative of 2*s**3/15 + 3*s**2/5 - 2. Factor q(y).
2*y*(y + 3)/5
Factor 20*g - 8*g**2 + 2*g**3 + 32 - 4*g - 6*g**3.
-4*(g - 2)*(g + 2)**2
Suppose 4*p + 5*j + 7 = 0, -4*p + 4*j + 22 = p. Factor 1/3*w + 0 - 1/3*w**p.
-w*(w - 1)/3
Let b(w) be the third derivative of -w**7/70 + w**5/20 + 11*w**2. Suppose b(d) = 0. Calculate d.
-1, 0, 1
Find p, given that 0 + 2/3*p**5 - 2*p**3 + 4/3*p**2 + 0*p**4 + 0*p = 0.
-2, 0, 1
Let n be 56/12 - 4/1. Factor 0 - 2/3*l**3 + 2/3*l**2 - n*l**4 + 0*l + 2/3*l**5.
2*l**2*(l - 1)**2*(l + 1)/3
Factor -5*x**2 - 5*x + 4*x**5 - 3*x - 9*x**2 - 12*x**3 - 6*x**2 + 4*x**4.
4*x*(x - 2)*(x + 1)**3
Suppose 2*s - 7 + 0 = f, s - 3*f - 11 = 0. Find r such that 4*r**5 + 8*r**s - 4*r - 5*r**3 + 12*r**3 - 8*r**4 - 7*r**3 = 0.
-1, 0, 1
Let n(v) be the second derivative of 1/10*v**2 + 7*v + 0 - 1/100*v**5 - 1/60*v**4 + 1/30*v**3. What is a in n(a) = 0?
-1, 1
Let r(x) be the second derivative of x**6/1800 + x**5/600 + 5*x**3/6 - 6*x. Let a(b) be the second derivative of r(b). Factor a(v).
v*(v + 1)/5
Let l be (-8)/(-3) + (-1)/(-3). Suppose -2*n - u + 8 = 0, 19 - 1 = 3*n + l*u. Factor -n - 4*q - 3*q**2 - 3*q**2 + 10*q + 2*q**3.
2*(q - 1)**3
Factor -15/4*z**3 - 1/4*z + 13/4*z**4 - z**5 + 7/4*z**2 + 0.
-z*(z - 1)**3*(4*z - 1)/4
Let i = 55/2 + -27. Factor 1/2*u + i*u**2 - 1/2 - 1/2*u**3.
-(u - 1)**2*(u + 1)/2
Let h be (-11)/(-4) - (-3)/12. Factor -j + 0*j - j**h - 2*j**3 - 4*j**2.
-j*(j + 1)*(3*j + 1)
Let q(n) be the second derivative of -n**6/10 - 3*n**5/10 - n**4/4 + 5*n. Factor q(w).
-3*w**2*(w + 1)**2
Let b(g) be the third derivative of 0*g + 0*g**5 - 4*g**2 + 1/600*g**6 - 1/120*g**4 + 0*g**3 + 0. Let b(m) = 0. What is m?
-1, 0, 1
Suppose 36*b + 45*b**2 + 30 - 17*b**2 - 22 = 0. Calculate b.
-1, -2/7
Let h(s) = -20*s**4 + 15*s**3 + 15*s**2 - 10. Let q(o) = -o**4 + o**3 + o**2 - 1. Let y(p) = h(p) - 10*q(p). Factor y(r).
-5*r**2*(r - 1)*(2*r + 1)
Let l(c) be the first derivative of c**6/70 + 3*c**5/28 + 9*c**4/28 + c**3/2 + 3*c**2/7 + 7*c - 1. Let p(z) be the first derivative of l(z). Factor p(t).
3*(t + 1)**3*(t + 2)/7
Let f(l) be the third derivative of -l**6/30 + 2*l**5/15 - 24*l**2. Factor f(a).
-4*a**2*(a - 2)
Let u(x) be the first derivative of x**5/15 - x**4/3 + 4*x**3/9 + 2. Let u(f) = 0. What is f?
0, 2
Let d(g) be the first derivative of 2/7*g**2 + 0*g - 1/7*g**4 + 4 - 4/21*g**3 + 4/35*g**5. Factor d(b).
4*b*(b - 1)**2*(b + 1)/7
Let h(l) be the second derivative of l**6/15 - l**5/2 + 7*l**4/6 - l**3 - 7*l. Factor h(z).
2*z*(z - 3)*(z - 1)**2
Let r = -1076/7 + 154. Let 0 - r*f**2 + 0*f = 0. What is f?
0
Let d(l) be the second derivative of 0 + 1/8*l**2 - 1/12*l**3 + 1/40*l**5 - 1/120*l**6 + 0*l**4 - l. Find c such that d(c) = 0.
-1, 1
Let f(i) = 3*i**2 - 85*i + 195. Let w(s) = -2*s**2 + 42*s - 98. Let c(t) = 2*f(t) + 5*w(t). Factor c(y).
-4*(y - 5)**2
Suppose 10 = 6*s - s + d, -s + d = -2. Factor 1/4*a**s + 1/2*a + 1/4.
(a + 1)**2/4
Let h(q) = 20*q**4 + 23*q**3 - 6*q + 14. Let j(s) = -7*s**4 - 8*s**3 + 2*s - 5. Let k(b) = -6*h(b) - 17*j(b). Factor k(w).
-(w - 1)*(w + 1)**3
Let j(k) be the second derivative of -4*k - k**2 - 1/2*k**3 + 0 + 1/40*k**5 - 1/16*k**4. Let g(w) be the first derivative of j(w). Factor g(t).
3*(t - 2)*(t + 1)/2
Let x be (-3)/1*(-2)/(-3). Let t = x + 5. Let 3*b**3 + 5*b**5 + 7*b**4 - b**t + 0*b**3 = 0. Calculate b.
-1, -2/5, 0
Let y(o) be the third derivative of 2*o**2 + 1/168*o**8 + 0*o**3 + 0*o + 1/30*o**5 + 1/6*o**4 - 1/105*o**7 + 0 - 1/20*o**6. Factor y(x).
2*x*(x - 2)*(x - 1)*(x + 1)**2
Let -8*s**2 - 2*s**2 - 6 + 4 + 11*s - 8*s**3 = 0. Calculate s.
-2, 1/4, 1/2
Suppose -4 = 5*b - 14. Suppose 4 + b*m**2 - 2*m + 3*m + 7*m - 2*m = 0. Calculate m.
-2, -1
Let y(z) be the first derivative of -7*z**5/5 - z**4 - 5. Let h(u) = -15*u**4 - 9*u**3. Let v(g) = 4*h(g) - 9*y(g). Factor v(i).
3*i**4
Suppose o + 10 = -5*l - 7, 3*o = -3*l - 3. Factor 0 - 2/9*p**o + 4/9*p**2 - 2/9*p.
-2*p*(p - 1)**2/9
Let k(p) be the first derivative of -9*p**5/10 + 3*p**4/2 + 13*p**3/2 + 9*p**2/2 - 10. Let k(h) = 0. Calculate h.
-1, -2/3, 0, 3
Let f be (-1)/(3/(-2) + (-1)/(-3)). Factor 0 - 2/7*r - f*r**3 - 6/7*r**2 - 2/7*r**4.
-2*r*(r + 1)**3/7
Solve 9*z**2 + 303*z**5 - 3 + 3*z**3 + 3 - 306*z**5 - 9*z**4 = 0.
-3, -1, 0, 1
Let c = 253 + -250. Suppose 1/2*l**2 + 1/2*l**c + 0 + 0*l = 0. Calculate l.
-1, 0
Let w = -3 - -5. Solve -2*z**w - z**3 + 0*z**3 + z**5 + z**2 + 0*z**4 + z**4 = 0.
-1, 0, 1
Factor 2/9*h**4 + 0*h**2 + 0 + 8/9*h**3 + 0*h.
2*h**3*(h + 4)/9
Let b(l) be the first derivative of -3*l - 3*l**3 - 3/4*l**4 - 9/2*l**2 - 1. Factor b(g).
-3*(g + 1)**3
Let m = 214 - 212. Solve 16/