*2 + 5. Let l(k) = -5*n(k) - 4*z(k). Factor l(r).
-5*r**2*(r + 7)*(3*r - 1)
Let w(a) be the second derivative of 0*a**5 + 0*a**3 + 2*a + 0*a**4 - 1/63*a**7 + 0*a**2 + 0 + 1/45*a**6. Factor w(z).
-2*z**4*(z - 1)/3
Let t(g) = 2*g**4 + 18*g**3 - 72*g**2 + 88*g - 33. Let h(u) = 5*u**4 + 55*u**3 - 215*u**2 + 265*u - 100. Let f(j) = -3*h(j) + 10*t(j). Solve f(q) = 0.
-6, 1
Let f(j) be the third derivative of -j**5/90 - 39*j**2. Factor f(q).
-2*q**2/3
Factor -10/3*q**2 + 6 - 2/3*q**3 - 2*q.
-2*(q - 1)*(q + 3)**2/3
Let l(n) = -2*n - 24. Let k be l(-12). Let g(b) be the second derivative of -b + 0*b**2 - 1/15*b**3 - 1/30*b**4 + k. Find a such that g(a) = 0.
-1, 0
Let c(t) be the third derivative of t**7/70 - t**6/20 - t**5/20 + t**4/4 - 6*t**2. Factor c(k).
3*k*(k - 2)*(k - 1)*(k + 1)
Let l be (-64)/(-14) - (-32)/(-56). Let g(r) be the first derivative of -1/12*r**6 - 1/10*r**5 + 1/6*r**3 + 1/8*r**l + 0*r + 3 + 0*r**2. Solve g(w) = 0.
-1, 0, 1
Let x be (-2)/7 + 150/(-14). Let i be 3 + x*(-1)/(-5). Factor 2/5*t**3 + 0 + i*t**2 + 2/5*t.
2*t*(t + 1)**2/5
Let q(g) = -36*g**3 - 21*g**2 + 27*g. Let l(w) = 5*w**3 + 3*w**2 - 4*w. Let i(u) = 15*l(u) + 2*q(u). Factor i(y).
3*y*(y - 1)*(y + 2)
Let t(c) = 473*c**4 + 2687*c**3 + 3115*c**2 - 1800*c + 203. Let u(w) = 79*w**4 + 448*w**3 + 519*w**2 - 300*w + 34. Let q(p) = 6*t(p) - 39*u(p). Factor q(g).
-3*(g + 3)**2*(9*g - 2)**2
Find i such that i**2 + 525 - 525 = 0.
0
Let c(i) = -1. Let y(l) = -2*l**4 - 2*l**3 + 4*l**2 + 3. Let k(o) = -3*c(o) - y(o). Factor k(u).
2*u**2*(u - 1)*(u + 2)
Let f(i) be the third derivative of i**5/170 + i**4/12 + 10*i**3/51 + 11*i**2. Determine d, given that f(d) = 0.
-5, -2/3
Suppose -3 = -2*l - 5. Let q be 12/(-24)*(l + 1). Factor -8/3*w**2 + 2*w**3 + q + 8/9*w.
2*w*(3*w - 2)**2/9
Factor -t**5 - 5*t**5 + t**5 - 50*t**3 - 25*t + 5 + 50*t**2 + 25*t**4.
-5*(t - 1)**5
Let q = 673 + -673. Find m, given that 0*m**3 + 0 - 1/3*m**4 + q*m + 1/3*m**2 = 0.
-1, 0, 1
Let m(f) be the first derivative of f**6/30 + f**5/25 - f**4/20 - f**3/15 - 4. Suppose m(a) = 0. What is a?
-1, 0, 1
Let d(z) be the second derivative of -4*z**7/105 - z**6/12 - z**5/30 + 9*z**2/2 + 9*z. Let x(r) be the first derivative of d(r). Factor x(a).
-2*a**2*(a + 1)*(4*a + 1)
Let z(n) be the first derivative of -2/15*n**3 + 1/5*n**2 + 0*n - 2. Factor z(k).
-2*k*(k - 1)/5
Let c(d) = -d**4 - 2*d**3 + 4*d**2 + 2*d + 1. Let v(n) = -n**4 - 2*n**3 + 5*n**2 + 2*n + 1. Let p(j) = 5*c(j) - 4*v(j). Solve p(q) = 0 for q.
-1, 1
Let s(z) be the first derivative of -4*z**4/5 + 4*z**3/15 + z**2/5 - 26. Determine v so that s(v) = 0.
-1/4, 0, 1/2
Suppose -2*y = -4*i + 80, -2*y - 4*i - 21 = 91. Let m be (-8)/2*8/y. Factor -2/3*o**3 + 0*o + 0*o**2 + 0*o**4 + 0 + m*o**5.
2*o**3*(o - 1)*(o + 1)/3
Let k(i) be the third derivative of -i**5/150 - i**4/10 + 7*i**3/15 - 21*i**2. Factor k(o).
-2*(o - 1)*(o + 7)/5
Let w(z) be the second derivative of z**6/180 + z**5/40 + z**4/24 + z**3/36 - 6*z. Find l, given that w(l) = 0.
-1, 0
Let r be (-1 + 4)/(-6)*0. Suppose 4/11*t + 2/11*t**2 + r = 0. Calculate t.
-2, 0
Let y = 4/99 + -34/2475. Let j(k) be the second derivative of -1/50*k**5 + 0*k**4 - y*k**6 + 0*k**3 - k + 0 - 1/105*k**7 + 0*k**2. Determine u so that j(u) = 0.
-1, 0
Find u such that 0 + 24/5*u**2 + 48/5*u**3 + 3/5*u = 0.
-1/4, 0
Let f(a) be the first derivative of a**4/4 + 2*a**3/3 + 4. Let f(i) = 0. What is i?
-2, 0
Let f be (-39)/120 - (-2)/6. Let v(w) be the second derivative of -f*w**5 + 0 + 1/72*w**4 + 1/36*w**3 - 1/12*w**2 - 2*w. Solve v(d) = 0 for d.
-1, 1
Let j(x) be the first derivative of -1/2*x**4 - 1 - 1/18*x**6 + 4/9*x**3 + 4/15*x**5 + 0*x - 1/6*x**2. Factor j(o).
-o*(o - 1)**4/3
Factor 1/3*m**2 - 1/3 + 2/3*m - 2/3*m**3.
-(m - 1)*(m + 1)*(2*m - 1)/3
Let p = 9 - 7. Let -2*c**4 - 2 - c - c + 2 + 2*c**3 + p*c**2 = 0. What is c?
-1, 0, 1
Factor 0 + 2/19*g - 2/19*g**2.
-2*g*(g - 1)/19
Let y(d) be the second derivative of -d**5/30 - d**4/6 - d**3/3 + d**2/2 + d. Let j(a) be the first derivative of y(a). Factor j(r).
-2*(r + 1)**2
Let m(s) be the second derivative of -s**8/10080 + s**6/2160 + s**3/2 - 2*s. Let g(q) be the second derivative of m(q). Let g(b) = 0. Calculate b.
-1, 0, 1
Let y be (-3)/(-2 + (-2 - -3)). Find a such that -1 - y*a**3 - 1 - a**3 + 2*a**4 + 4*a = 0.
-1, 1
Let j(f) = -f**2 - 1. Let y(r) = 5*r**3 - 2*r**2 + 1. Let w be y(1). Let b(m) = -4*m**2 + 6*m - 6. Let n(u) = w*j(u) - 2*b(u). Solve n(i) = 0.
1, 2
Find n, given that -n**5 + 3*n + 5*n + 2*n**2 + 1 - 2*n**3 - 3*n**4 - 5*n = 0.
-1, 1
Let b(x) be the first derivative of 1/2*x**2 + 5 + 1/6*x**3 + 1/2*x. Factor b(f).
(f + 1)**2/2
Let o be 6/(12/4) - 0. Factor -t**3 - t**3 + 3*t**2 + t**o + 8*t - 2*t**3.
-4*t*(t - 2)*(t + 1)
Let a(n) be the second derivative of n**6/480 - n**4/96 + 3*n**2/2 + 2*n. Let m(h) be the first derivative of a(h). Factor m(p).
p*(p - 1)*(p + 1)/4
Let m(d) be the third derivative of d**7/70 + d**6/10 + d**5/4 + d**4/4 - 7*d**2. Determine u, given that m(u) = 0.
-2, -1, 0
Suppose -18 = -5*f + 2. Let j be 0*(-1 + 6/f). Factor -2/5*s**3 + j + 0*s - 2/5*s**2.
-2*s**2*(s + 1)/5
Factor -3*t**2 - 15 + 0*t**2 + 12 + 6*t.
-3*(t - 1)**2
Factor 1/4*y**5 - 3/4*y**3 + 0*y**4 + 0 + 0*y + 1/2*y**2.
y**2*(y - 1)**2*(y + 2)/4
Factor -8*y**2 + 3*y**3 - 7*y**2 + 6*y**2.
3*y**2*(y - 3)
Factor -2*s**5 + 20*s**4 - 8*s**4 - 10*s**4.
-2*s**4*(s - 1)
Let a be (0 - 1/2)*-8. Let j be 1 + -1 + 3 + -5 + 2. Determine u so that 2/7*u**3 - 2/7*u**a + 0*u**2 + 0 + j*u = 0.
0, 1
Let w(u) = u**4 - u**3 - u - 1. Let d(i) = -8*i**4 + 10*i**3 + 14*i**2 + 14*i + 6. Let x(k) = d(k) + 6*w(k). Find m, given that x(m) = 0.
-1, 0, 4
Let s = 14 + -14. Suppose s = -13*n + 9*n. Factor -f + n - 1/4*f**3 + f**2.
-f*(f - 2)**2/4
Let m(t) be the first derivative of -5*t**4/4 - 5*t**3 - 5*t**2 - 16. Suppose m(x) = 0. Calculate x.
-2, -1, 0
Let a be (-46)/(-180) - 11/55. Let l(g) be the second derivative of a*g**3 - g - 1/15*g**5 + 0*g**2 + 0 - 1/12*g**4. Solve l(w) = 0 for w.
-1, 0, 1/4
Let n(w) be the second derivative of -w**6/180 + w**5/30 - w**4/12 - w**3/6 - w. Let r(v) be the second derivative of n(v). What is d in r(d) = 0?
1
Let w be ((-12)/14)/(8/(-56)). Let j be (w/16)/((-36)/(-16)). Solve -j*f**2 + 1/6 + 0*f = 0 for f.
-1, 1
Let t(o) be the first derivative of o**5/60 - o**4/6 + 2*o**3/3 + 3*o**2 + 3. Let u(n) be the second derivative of t(n). Determine p, given that u(p) = 0.
2
Suppose 2*b - 14 = 2*u, 0*b + 18 = 4*b - 2*u. Suppose -b*x = x. Find f such that 1/2*f**5 + 0*f**2 - 1/2*f**4 + x*f + 0*f**3 + 0 = 0.
0, 1
Let a = -4 - -11. Let h = 10 - a. Factor 3*o**h - 3*o**2 + 27 - 27 - o**4 + o.
-o*(o - 1)**3
Find h such that 4*h**5 - 13*h**4 - 108*h**2 + h**4 + 108*h**3 - 24*h**4 = 0.
0, 3
Factor 30*l**3 - 32 + 14*l**3 + 14*l**4 - 12*l**3 + 2*l**5 + 16*l**2 - 32*l.
2*(l - 1)*(l + 2)**4
Suppose -u + 2 = 0, 3*u + 0*u - 1 = -5*o. Let y = 1 + o. Factor -h**2 + 1/2*h + 1/2*h**3 + y.
h*(h - 1)**2/2
Let x be ((-1)/(-2)*-1)/2. Let q = 1/12 - x. Factor -2/3 - q*o**2 - o.
-(o + 1)*(o + 2)/3
Factor -4/5*p**2 + 4/5*p + 1/5*p**3 + 0.
p*(p - 2)**2/5
Find j, given that 3*j**4 + 4*j**4 - j**2 - j + j**3 - 6*j**4 = 0.
-1, 0, 1
Suppose -5*f = -4*f - 4. Let o be (-6)/f - (-3)/2. What is w in 8/9*w**2 - 2/3*w**4 + 4/9*w**3 - 2/9 + o*w - 4/9*w**5 = 0?
-1, 1/2, 1
Let d be -1 + (1 - -3 - -2). Find l, given that -3*l**2 - 4*l + 3 + d*l - l = 0.
-1, 1
Let p be 10 - 6*4/12. Factor -12*c**4 + 1 + 3 + 4*c**5 - 7*c + p*c**2 + 8*c**3 - 5*c.
4*(c - 1)**4*(c + 1)
Let p(b) = -b**2 - 16. Let j(d) = -d**2 - 24. Let m(z) = 5*j(z) - 7*p(z). Suppose m(i) = 0. What is i?
-2, 2
Let v = 362 + -15203/42. Let s(o) be the second derivative of -1/2*o**2 + v*o**7 + 1/10*o**6 - o - 1/6*o**4 + 0 + 1/10*o**5 - 1/2*o**3. Factor s(d).
(d - 1)*(d + 1)**4
Factor -n**3 - 4*n**5 + 12*n**4 - n**3 - 4*n**4 - 2*n**3.
-4*n**3*(n - 1)**2
Let f(x) be the third derivative of 0*x + 1/70*x**7 + 4*x**2 + 0*x**4 + 1/40*x**6 + 0 - 1/112*x**8 - 1/20*x**5 + 0*x**3. Find o such that f(o) = 0.
-1, 0, 1
Suppose -4*h = q - 22, -4*h + 14 = 4*q - 14. Let 0*s**2 - 2*s**q + 3*s - 2*s + s = 0. Calculate s.
0, 1
Let v(m) be the first derivative of -23*m**2 + m**3 - 1 + 5 + 10*m**2 + 7*m**2 + 9*m. Find x such that v(x) = 0.
1, 3
Find d such that -2/9*d**3 + 2/9*d -