Let t(g) = 6*b(g) - 51*s(g). Factor t(k).
-3*(k - 2)*(4*k - 1)
Let q(m) be the first derivative of 2*m**5/65 - m**4/13 - 2*m**3/39 + 2*m**2/13 - 40. Factor q(h).
2*h*(h - 2)*(h - 1)*(h + 1)/13
Let h(x) be the third derivative of -x**6/840 + x**5/210 - x**4/168 - 5*x**2. Factor h(t).
-t*(t - 1)**2/7
Let l(t) be the second derivative of -t**7/5040 + t**5/720 - t**3/3 - t. Let u(v) be the second derivative of l(v). Solve u(h) = 0 for h.
-1, 0, 1
Let c(z) be the first derivative of 1/3*z**6 + 6/5*z**5 + 0*z - 7 + 2/3*z**3 + 0*z**2 + 3/2*z**4. Factor c(a).
2*a**2*(a + 1)**3
Suppose 2*m - 6*m + 3*z = 15, -3*m + z = 5. Suppose 5*p = -5*t - 5, -t + p + m + 5 = 0. Factor t*n**2 - 2*n**3 + n**3 - n**3.
-2*n**2*(n - 1)
Let u be (-42)/196*14/(-360). Let r(q) be the second derivative of 1/20*q**5 + 1/8*q**2 - 2*q + 1/6*q**3 + 0 + u*q**6 + 1/8*q**4. Solve r(b) = 0.
-1
Let m(p) be the third derivative of -p**7/1470 + p**6/168 + p**5/60 - 5*p**4/168 - p**3/7 - 19*p**2. Suppose m(y) = 0. Calculate y.
-1, 1, 6
Let i(w) be the first derivative of 1/3*w**3 + 4/3*w**2 - w - 5. Find x, given that i(x) = 0.
-3, 1/3
Let h(j) be the first derivative of -2 + 0*j + 1/6*j**3 - 1/2*j**2. Factor h(v).
v*(v - 2)/2
Let l = 4 + -2. Factor -5*y**4 + 0*y**2 + 2*y - l*y**2 + 6*y**2 + y**4 - 2*y**3.
-2*y*(y - 1)*(y + 1)*(2*y + 1)
Suppose -4*a = -5*n + 1 - 66, -40 = -2*a + 4*n. Suppose 0 = 4*o - 9*o + a. Determine k so that -2/7 - 2/7*k**o + 4/7*k = 0.
1
Let y(d) be the third derivative of d**5/30 + d**4/2 + 3*d**3 + 46*d**2. Determine j, given that y(j) = 0.
-3
Suppose 29*x - 28*x - 2 = 0. Suppose 0*l - 2/3 + 2/3*l**x = 0. Calculate l.
-1, 1
Let h(t) = -t. Let j be h(-4). Let x be j/(-18)*(2 + -3). Solve 2/9 + x*y**2 - 4/9*y = 0 for y.
1
Find n, given that 5*n**3 + 0*n**5 + 4*n**5 + 7*n**3 - 12*n**4 - 4*n**2 = 0.
0, 1
Let j(k) be the second derivative of k**6/60 - k**5/20 + k**3/6 - k**2/4 + 21*k. Factor j(l).
(l - 1)**3*(l + 1)/2
Factor 14/11*w + 2/11*w**2 + 20/11.
2*(w + 2)*(w + 5)/11
Let z(p) be the first derivative of p**6/57 - 4*p**5/95 + 4*p**3/57 - p**2/19 + 8. What is y in z(y) = 0?
-1, 0, 1
Factor 2/11*o - 6/11 - 2/11*o**3 + 6/11*o**2.
-2*(o - 3)*(o - 1)*(o + 1)/11
Let n be -3*2/8*-4. Let -8/17*o**2 + 2/17*o**4 + 0*o + 0 + 0*o**n = 0. What is o?
-2, 0, 2
Suppose -d - t + 4*t = 1, 0 = 4*d - 4*t - 4. Suppose -8/7*s**4 - 4/7*s + d*s**2 + 10/7*s**3 + 0 = 0. Calculate s.
-1, 0, 1/4, 2
Let x be 9/4 + 12/16. Let w(g) be the first derivative of 1/2*g**4 - 1/2*g - 1/10*g**5 - g**x + g**2 + 3. Factor w(n).
-(n - 1)**4/2
Suppose -9*o + 33 = 2*o. Let u be o/((-21)/(-2) + -3). Factor 0 + u*b**3 + 4/5*b**4 + 0*b + 0*b**2 + 2/5*b**5.
2*b**3*(b + 1)**2/5
Let j(c) = -9*c**2 - 4*c - 5. Let a(u) = 4*u**2 + 2*u + 2. Let p be (-2)/(-2 - 24/(-10)). Let q(y) = p*a(y) - 2*j(y). Factor q(m).
-2*m*(m + 1)
Let b(c) = 5*c**3 + 7*c**2 - 2*c - 7. Let m(v) = -15*v**3 - 22*v**2 + 7*v + 22. Let x(j) = 8*b(j) + 3*m(j). Suppose x(o) = 0. Calculate o.
-2, -1, 1
Let u(c) be the second derivative of 0*c**3 + 0 + 0*c**2 - 1/10*c**6 - 1/4*c**4 + 3/10*c**5 - 3*c. Solve u(b) = 0 for b.
0, 1
Let f(l) be the second derivative of -3*l**5/80 + l**4/16 + 7*l. Factor f(p).
-3*p**2*(p - 1)/4
Suppose 2*f = -0*f + 4. Let r be (8 - f)/(9/6). Suppose 2/5*y**3 + 0 - 2/5*y**2 - 2/5*y + 2/5*y**r = 0. Calculate y.
-1, 0, 1
Factor i**3 + 4*i - 3 - 13*i + i**2 + 8*i + 2.
(i - 1)*(i + 1)**2
Let n(p) = -3*p**4 + 5*p**3 + 25*p**2 + 17*p - 2. Let j(z) = -65*z**4 + 110*z**3 + 550*z**2 + 375*z - 45. Let i(m) = -2*j(m) + 45*n(m). Factor i(k).
-5*k*(k - 3)*(k + 1)**2
Let z(r) be the first derivative of 2/9*r**3 + r**2 - 6 + 4/3*r. Solve z(f) = 0 for f.
-2, -1
Let k(m) = 30*m**2 - 35*m - 10. Let j(s) = s**2 - s - 1. Let y(o) = 15*j(o) - k(o). Factor y(f).
-5*(f - 1)*(3*f - 1)
Let p(g) be the first derivative of 2*g**3/21 - 18*g**2/7 + 162*g/7 + 4. Factor p(n).
2*(n - 9)**2/7
Let c be (-4)/14 + 54/140. Let j = c - -2/5. Find b, given that j*b**2 - 1/2*b - 1 = 0.
-1, 2
Let g(h) = -6*h**2 - 6. Suppose 0 = 3*d - 9. Suppose b - 47 = 5*q, 2*b = 1 + d. Let p(i) = 13*i**2 + i + 13. Let l(n) = q*g(n) - 4*p(n). Factor l(j).
2*(j - 1)**2
Let k = 1/54 - -103/270. Determine t so that 0 - 1/5*t**3 + 0*t - 1/5*t**5 + k*t**4 + 0*t**2 = 0.
0, 1
Let q = -179825769/6812 + 343182/13. Let g = q - -2/131. Suppose 0 + 0*u**2 + 1/2*u**3 - 1/4*u + 0*u**4 - g*u**5 = 0. Calculate u.
-1, 0, 1
Let l(c) be the first derivative of -2 + 1/4*c**4 - 1/5*c**5 + 0*c + 1/3*c**3 - 1/2*c**2. Factor l(t).
-t*(t - 1)**2*(t + 1)
Factor 0 + 2/5*i**3 + 2/5*i**4 - 4/5*i**2 + 0*i.
2*i**2*(i - 1)*(i + 2)/5
Let u be 1 + -2*(2 - 6). Let f be ((-30)/2)/(u/(-2)). Factor -14/3*g**2 - f*g + 4/3.
-2*(g + 1)*(7*g - 2)/3
Factor 4*p**3 + 3*p**5 + 4*p**2 - 2 - 2*p - 2*p**4 + 0*p**5 - 5*p**5.
-2*(p - 1)**2*(p + 1)**3
Factor 1/7*o - 1/7*o**2 + 0.
-o*(o - 1)/7
Suppose n = 6*n. Let z(y) be the second derivative of 0*y**2 - 1/40*y**5 + n*y**3 + 1/120*y**6 - 2*y + 1/48*y**4 + 0. Solve z(l) = 0.
0, 1
Let l(u) = -u**2 - 23*u + 26. Let w be l(-24). What is f in 2/5*f**4 + 2*f**3 + 18/5*f**w + 4/5 + 14/5*f = 0?
-2, -1
Let l(s) = s**2 + 2*s + 1. Let i = 12 + -11. Let m(h) = -h. Let j(q) = i*l(q) + 4*m(q). Solve j(u) = 0.
1
Let -48/5*r**5 + 0 - 108/5*r**3 - 24*r**4 - 42/5*r**2 - 6/5*r = 0. What is r?
-1, -1/2, 0
Let o(v) = 5*v**3 - 9*v**2 + 4*v - 9. Let m(f) = -37 - 5*f**2 + 2*f**3 + 2*f + 33 + f**2. Let j(p) = -9*m(p) + 4*o(p). Suppose j(a) = 0. Calculate a.
-1, 0, 1
Let m(y) = y**3 + y**2 - y - 1. Let g be m(-2). Let x be -3 + (2/6 - g). Determine n, given that -1/3 - x*n**2 - 2/3*n = 0.
-1
Let p be (-244)/(-16) - 15/(-20). Let s = 50/3 - p. Determine b so that s*b**2 - 4/3*b + 2/3 = 0.
1
Suppose 0 = -20*u + 17*u. Let k(i) be the second derivative of u*i**2 + 1/15*i**6 + 1/3*i**3 + 0 + 2*i - 1/6*i**4 - 1/10*i**5. Factor k(f).
2*f*(f - 1)**2*(f + 1)
Let b be (-39)/(-15) - (-4)/10. Suppose 3 - v**b - v**3 + 1 + 2*v - 6*v**2 + 2*v**2 = 0. Calculate v.
-2, -1, 1
Let f(r) be the third derivative of 0*r**3 + 0*r + 0*r**5 - 1/140*r**7 + 0*r**4 + 0 + 1/80*r**6 + 6*r**2. Factor f(z).
-3*z**3*(z - 1)/2
Let v be 4 + (-3)/(-6)*-2. Suppose -5*z + v*p = 15, -3*z + p - 5 = -z. Factor -3/2*x**4 + z + 3/2*x**2 + 0*x**3 + 3/4*x**5 - 3/4*x.
3*x*(x - 1)**3*(x + 1)/4
Let g(y) be the third derivative of -1/105*y**7 + 7*y**2 + 0*y**3 + 1/30*y**5 + 0*y + 0 + 1/168*y**8 - 1/60*y**6 + 0*y**4. Factor g(w).
2*w**2*(w - 1)**2*(w + 1)
Let v = -2/15 + 112/165. What is w in -4/11*w + 0 + 0*w**3 + 2/11*w**4 - v*w**2 = 0?
-1, 0, 2
Let p(j) = -j**2 + 10*j - 11. Let t be p(8). Suppose 6*w**2 + 0*w**3 - 3*w - 3*w**5 - 6*w**4 + 6*w**t + 0*w**3 = 0. Calculate w.
-1, 0, 1
Let s = -102 - -107. Suppose -4/5*h**4 + 2/5*h**s + 2/5*h**3 + 0 + 0*h**2 + 0*h = 0. What is h?
0, 1
Factor -3/4*a**3 + 3/8*a**4 + 3/8 + 3/8*a + 3/8*a**5 - 3/4*a**2.
3*(a - 1)**2*(a + 1)**3/8
Suppose -2*z + 8*l - 4*l = -16, -3*z - 4*l - 16 = 0. Factor z*b**2 + 0 - 1/7*b**3 + 1/7*b.
-b*(b - 1)*(b + 1)/7
Let g(t) be the first derivative of 3/20*t**4 + 3/2*t**2 + 1 - 6/5*t - 4/5*t**3. What is k in g(k) = 0?
1, 2
Suppose -34 = -3*w + h, 2*w - 3 = w + 2*h. Let x be (-16 + w)/(42/(-4)). Factor -x*i + 4/7 - 2/7*i**2.
-2*(i - 1)*(i + 2)/7
Let z be 10*(-1)/(-12) - (-1)/(-3). Factor 0*r - 1/2*r**2 + z.
-(r - 1)*(r + 1)/2
Let c be (-6)/(-12)*(0 + -2). Let s be 4/(-9)*(c - 2). Solve -s*i + 10/3*i**2 + 6*i**3 - 14/3*i**5 - 10/3*i**4 + 0 = 0.
-1, 0, 2/7, 1
Find b, given that 3*b - 5*b - 2*b**2 - 4*b - 8 + 4*b**2 = 0.
-1, 4
Let o(a) = -10*a**5 - 20*a**4 - 25*a**3 + 5*a**2 + 5*a - 5. Let t(r) = 11*r**5 + 19*r**4 + 26*r**3 - 6*r**2 - 6*r + 6. Let v(p) = 6*o(p) + 5*t(p). Factor v(y).
-5*y**3*(y + 1)*(y + 4)
Factor 17*v**3 + 5*v**4 + 14*v**3 - 46*v**3.
5*v**3*(v - 3)
Factor 0 + 1/3*q**5 + 0*q + 1/6*q**4 + 0*q**2 - 1/6*q**3.
q**3*(q + 1)*(2*q - 1)/6
Let u be (-2)/3 + 21/30. Let i(t) be the second derivative of -1/5*t**5 - 1/2*t**2 - 2*t + 0 - u*t**6 - 2/3*t**3 - 1/2*t**4. Factor i(v).
-(v + 1)**4
Suppose 2/5 - 2/5*d**2 + 0*d = 0. What is d?
-1, 1
Let g(t) be the third derivative of t**8/2352 + t**7/1470 - t**6/420 + 29*t**2. Determine v so that g(v) = 0.
-2, 0, 1
Find m, given that 7*m - 7*m - 8 + 0*m**2 - 2*m**4 + 8*m + 6*m**2 - 4*m**3 = 0.
-2, 1
Let u = -10 + 10. Factor -2/5*n**3 - 4/5*n*