u be w(-9). Factor u*m**2 + m**2 - m**2.
2*m**2
Let c(q) be the third derivative of -q**10/378000 - q**5/60 + 5*q**2. Let u(d) be the third derivative of c(d). Factor u(f).
-2*f**4/5
Let t(g) be the first derivative of -7 + 2/7*g**2 - 2/21*g**3 - 2/7*g. Factor t(j).
-2*(j - 1)**2/7
Let o(n) be the first derivative of n**5/90 - n**4/9 + 4*n**3/9 + n**2 - 2. Let a(w) be the second derivative of o(w). Factor a(c).
2*(c - 2)**2/3
Let g(o) be the second derivative of o**6/120 - o**5/40 + o**4/48 + 2*o. Determine s so that g(s) = 0.
0, 1
Let p = 156 + -152. Suppose -3*u - 4*q = -14, 2*q = -4*u + 2*u + 8. Factor 2/5 + 8/5*g**p + 8/5*g**3 - 6/5*g**u - 4/5*g.
2*(g + 1)**2*(2*g - 1)**2/5
Let s(m) be the first derivative of -5*m**4/4 - 50*m**3/3 - 125*m**2/2 - 9. Determine c so that s(c) = 0.
-5, 0
Let q be 38/(-741)*(0 + 1 + -7). Find k, given that 2/13*k - q*k**2 + 0 + 2/13*k**3 = 0.
0, 1
Let n = -27/2 + 55/4. Factor n*t - 1/4*t**2 + 0.
-t*(t - 1)/4
What is y in -2/5*y**2 + 0 - y**4 + 0*y + 11/5*y**3 = 0?
0, 1/5, 2
Let l be (4 - (-3 - -7))/4. Let x(b) be the second derivative of 2*b - 1/75*b**6 + 1/100*b**5 + 0 + 1/210*b**7 + l*b**2 + 0*b**4 + 0*b**3. Factor x(y).
y**3*(y - 1)**2/5
Let r = 130 + -128. Let h(v) be the second derivative of 1/6*v**3 + 4*v + 1/4*v**4 + 0 + 1/30*v**6 + 0*v**r + 3/20*v**5. Suppose h(m) = 0. Calculate m.
-1, 0
Let s(i) be the third derivative of -i**8/784 + 2*i**7/245 - i**6/56 + i**5/70 + 2*i**2. Factor s(p).
-3*p**2*(p - 2)*(p - 1)**2/7
Let l(r) = r - 1. Let p be l(1). Let j be p + (4 - 2) - -7. Find b such that 2*b**5 + 2*b - 2*b**3 + 14*b**3 + 8*b**2 + j*b**4 - b**4 = 0.
-1, 0
Let l = 7 + -5. Determine z so that -2*z**4 + 0*z**4 - 3*z**l + 3*z**4 + 2*z**2 = 0.
-1, 0, 1
Let l(v) = v**2 - 3*v + 1. Let h be l(2). Let w be ((-2)/h)/(-1) - -4. Solve 5*j**w + j**3 - 2*j**3 - 4 - 2*j**2 = 0.
-1, 2
Find g, given that 0*g**3 + 0 + 0*g + 0*g**2 - 2/5*g**4 = 0.
0
Let o(i) = -4*i**2 - 6*i + 3. Let n(y) = 5*y**2 + 7*y - 4. Let w(l) = 3*n(l) + 4*o(l). Factor w(k).
-k*(k + 3)
Let z(u) be the second derivative of 3*u + 3/20*u**4 + 0 + 1/5*u**2 + 7/30*u**3 + 1/150*u**6 + 1/20*u**5. Solve z(f) = 0 for f.
-2, -1
Suppose 0*r**3 + 5*r**3 + 0*r**3 - r**3 - 4*r = 0. What is r?
-1, 0, 1
Let l = -1/229 + 3667/687. Factor l*j**2 + 8/3 + 4/3*j**3 + 20/3*j.
4*(j + 1)**2*(j + 2)/3
Let a(z) be the second derivative of z**4/10 + 8*z**3/15 - 3*z**2/5 + 47*z. Let a(k) = 0. Calculate k.
-3, 1/3
Suppose 9*h = 7*h. Solve 2/3*b**4 + 0*b**2 + 2/3*b**3 + h*b + 0 = 0 for b.
-1, 0
Let u(m) = -5*m**4 - 7*m**3 + 9*m**2 + 7*m - 4. Let i(p) = -14*p**4 - 20*p**3 + 26*p**2 + 20*p - 12. Let f(l) = -4*i(l) + 11*u(l). Let f(t) = 0. Calculate t.
-4, -1, 1
Let n(v) be the third derivative of v**5/45 + 13*v**2. Let n(p) = 0. Calculate p.
0
Determine s, given that 3*s**4 - 12/5 - 3/5*s**2 + 3/5*s**5 - 24/5*s + 21/5*s**3 = 0.
-2, -1, 1
Suppose 0*n + 3*x = 2*n + 24, x = -5*n - 77. Let y be (n/(-9))/((-5)/(-2)). Factor 4/3*m + 2/3*m**2 + y.
2*(m + 1)**2/3
Let a be (-8)/(-13 - -5) - 6/10. Let 2/5*j**5 + 8/5 - 14/5*j**2 - a*j**3 + 6/5*j**4 + 0*j = 0. Calculate j.
-2, -1, 1
Let s(v) be the third derivative of v**7/630 - v**6/90 + v**5/90 + v**4/18 - v**3/6 - 2*v**2 + 52*v. Solve s(g) = 0.
-1, 1, 3
Let g(t) = -2*t**3 + 4*t**2 - 14*t + 12. Let l(o) = 5*o**3 - 12*o**2 + 43*o - 36. Let n(k) = -17*g(k) - 6*l(k). Factor n(c).
4*(c - 1)**2*(c + 3)
Find k, given that 7 - 3*k**5 + 6*k**3 - 7 - 3*k = 0.
-1, 0, 1
Let u(k) = k + 15. Let l be u(-8). Let r = 10 - l. Factor 0*d - 2/7*d**2 - 2/7*d**4 + 0 - 4/7*d**r.
-2*d**2*(d + 1)**2/7
Let v = -10 + 16. Suppose -20*s**2 + v*s - 5*s - 5*s - 8*s = 0. What is s?
-3/5, 0
Find d such that 4*d - 2 + 10 + 6*d + 2*d**2 - 2*d = 0.
-2
Let i(w) be the first derivative of -w**6/36 - w**5/30 + w**4/8 + w**3/18 - w**2/6 - 2. Determine m so that i(m) = 0.
-2, -1, 0, 1
Let b be (-1 + 1)/((-15)/((-30)/4)). Determine c, given that -3/2*c**5 - 3*c**4 + b + 3*c**2 + 3/2*c + 0*c**3 = 0.
-1, 0, 1
Let w be 52/32 + (231/56)/11. Determine m so that -2/9*m**4 + 14/9*m**3 + 40/9*m - 4*m**w - 16/9 = 0.
1, 2
Factor -3*k**2 + 5*k - k - 5*k + 4*k.
-3*k*(k - 1)
Let j be (-20)/(-12)*(0 + -1)/(-5). Let v(a) be the second derivative of -1/6*a**4 + 0 - 3*a + 2*a**2 - j*a**3. Factor v(y).
-2*(y - 1)*(y + 2)
Let l(j) be the second derivative of 0 + 1/168*j**7 - 1/24*j**4 + 1/60*j**6 + 0*j**5 - 1/24*j**3 - j + 0*j**2. Solve l(d) = 0.
-1, 0, 1
Let w(y) be the first derivative of 1/20*y**4 + 2/15*y**3 - 3 + 1/10*y**2 + 0*y. Determine r, given that w(r) = 0.
-1, 0
Let w(d) = 10*d**4 + 35*d**3 + 50*d**2 + 20*d + 5. Let t(f) = -f**4 - f**3 - f**2 - 1. Let m(q) = 5*t(q) + w(q). Solve m(x) = 0.
-4, -1, 0
Let h(d) be the first derivative of -d**2 + 19/8*d**4 - 8 + 0*d - 4/3*d**3 - 7/10*d**5. Factor h(u).
-u*(u - 2)*(u - 1)*(7*u + 2)/2
Let q(k) = 7*k**4 + 4*k**3 - k**2 - 10*k. Let w(t) = -t**4 + t. Let v(z) = q(z) + 6*w(z). Find y, given that v(y) = 0.
-4, -1, 0, 1
Let a(j) be the first derivative of -1/2*j**2 + 1/4*j**4 - 6 - 1/10*j**5 + 1/2*j + 0*j**3. Factor a(x).
-(x - 1)**3*(x + 1)/2
Let p = -270 - -272. Let 0 - 10/3*z**p + 4/3*z = 0. What is z?
0, 2/5
Let n(b) be the first derivative of -b**4/4 - 8*b**3/3 - 4*b**2 - 7*b - 4. Let l be n(-7). Let 1/2*s + l - 1/2*s**3 + 0*s**2 = 0. What is s?
-1, 0, 1
Let p(x) = 6*x**2 + 29*x + 18. Let c(u) = 3*u**2 + 14*u + 9. Let k(j) = 5*c(j) - 2*p(j). Let k(a) = 0. What is a?
-3, -1
Suppose 5*q - 2*v = -527, -3*q + 215 = -5*q + 5*v. Let s = -523/5 - q. Factor -4/5*j + 4/5*j**3 + 0*j**2 + 2/5*j**4 - s.
2*(j - 1)*(j + 1)**3/5
Let g(i) = -4*i**5 + 12*i**4 - 9*i**3 - 17*i**2 + 3*i + 5. Let d(b) = -2*b**5 + 6*b**4 - 5*b**3 - 9*b**2 + b + 3. Let z(v) = 10*d(v) - 6*g(v). Factor z(o).
4*o*(o - 2)*(o - 1)**2*(o + 1)
Let s(p) be the first derivative of -1/5*p**5 + 0*p**3 + 0*p + 1 + 0*p**4 + 0*p**2. Factor s(w).
-w**4
Factor -c**3 + 7 - 2*c**2 + 5 + 3*c - 10 - 2*c.
-(c - 1)*(c + 1)*(c + 2)
Suppose -2*b - 1 = -5. Suppose p = -2*p. Solve 1 + d**b - 2*d**2 + p = 0.
-1, 1
Let y(s) = s**3 - 5*s**2 + 4*s + 4. Let d be y(4). Factor 4*b**d - b**4 + 6*b**3 + 4*b**2 - b**2.
3*b**2*(b + 1)**2
Let n = 2 - -2. Suppose 6 = n*q - 18. Let z(b) = 4*b**4 - 3*b**3 - 2*b + 1. Let p(c) = 5*c**4 - 4*c**3 - 2*c + 1. Let w(t) = q*z(t) - 5*p(t). Factor w(f).
-(f - 1)**3*(f + 1)
Factor 0 - 2/3*s**4 + 0*s**3 + 0*s - 2/3*s**5 + 0*s**2.
-2*s**4*(s + 1)/3
Let m(w) be the second derivative of -w**7/42 - w**6/15 + w**4/6 + w**3/6 - 42*w. Suppose m(b) = 0. What is b?
-1, 0, 1
Let z(v) be the second derivative of 5*v**4/12 - 5*v**3 + 45*v**2/2 + 35*v. Factor z(i).
5*(i - 3)**2
Let p = -1/228 - -127/76. Factor p*a**3 + 0 + 1/3*a**5 + 4/3*a**4 + 2/3*a**2 + 0*a.
a**2*(a + 1)**2*(a + 2)/3
Let i(k) be the first derivative of -1/9*k**3 + 1/6*k**2 + 0*k + 4. Factor i(m).
-m*(m - 1)/3
Suppose 5*g = -4*i + 10, -3*i - 5*g + 2 = -3. Suppose -3*n + 2*w = -i*n + 2, 2*n + 4*w = 0. Determine c, given that c**3 - c - 4/3*c**4 + 5/3*c**n - 1/3 = 0.
-1, -1/4, 1
Let p(n) be the second derivative of 49*n**6/225 - 7*n**5/15 - n**4/30 + 4*n**3/9 + 4*n**2/15 - 5*n. Factor p(r).
2*(r - 1)**2*(7*r + 2)**2/15
Determine h so that -4 - h**2 + 5*h**2 + 4*h + h**2 + 3*h**2 = 0.
-1, 1/2
Let n(j) be the second derivative of -j**6/30 - j**5/5 - 5*j**4/12 - j**3/3 - 18*j. Determine a so that n(a) = 0.
-2, -1, 0
Let b(x) = 24*x**3 + 0*x**2 + 18*x**4 + 3*x**2 + 4*x**3 - x**2 + 12*x. Let z(c) = -c**4 - c**3 + c**2 - c. Let l(g) = b(g) + 10*z(g). Factor l(w).
2*w*(w + 1)**2*(4*w + 1)
Let u be 0/(7/(7/(-3))). Suppose y + 7 - 10 = u. Factor 5/2*l**y - 1/2*l**4 + 4 - 2*l - 3*l**2.
-(l - 2)**3*(l + 1)/2
Let r(v) be the second derivative of 0*v**2 + 2*v - 1/6*v**4 - 1/3*v**3 + 0. Determine n so that r(n) = 0.
-1, 0
Let t(w) be the first derivative of -w**6/12 + 3*w**5/10 - w**4/8 - w**3/2 + w**2/2 + 5. Find k, given that t(k) = 0.
-1, 0, 1, 2
Suppose 0*z - 9 = -3*z. Find g such that -8*g**2 + 0*g**z - 3*g**3 + 2*g**2 = 0.
-2, 0
Let r(n) = n**2 - 6*n - 5. Let u(d) = d**2 - 7*d - 5. Let k(i) = 5*r(i) - 4*u(i). Let v be k(4). Factor -2*x**4 - 5*x**2 - 2*x**5 + 2*x**v + 4*x**2 + 3*x**2.
-2*x**2*(x - 1)*(x + 1)**2
Let u(w) = -w**3 - 3*w**2 + w + 0*w + 1 + 5*w**2 - w**2. Let r(b) = -3*b**4 + 4*b**3 - b**2 + 2*b + 2. Let t(d) = r(d) - 2*u(