ive of m**6/21 - 12*m**5/35 + 13*m**4/14 - 8*m**3/7 + 4*m**2/7 - 25. Factor z(n).
2*n*(n - 2)**2*(n - 1)**2/7
Factor 7*h - 5*h**2 - 22*h + 0*h**2.
-5*h*(h + 3)
Let v be -6 - 48/(-8) - (0 - 0). Let s(l) be the first derivative of -1/9*l**3 + v*l - 1 - 1/3*l**2. Suppose s(a) = 0. Calculate a.
-2, 0
Let u be 2*(-63)/14*(-1)/3. Suppose 0 - 2/11*r**u - 18/11*r - 12/11*r**2 = 0. Calculate r.
-3, 0
Let v = 1 - 4. Let h = v - -3. Find t such that 10/7*t**2 + 8/7*t**3 + 2/7*t + h = 0.
-1, -1/4, 0
Suppose o - 4 = -2. Solve 1/2*y**3 + 1/2 + 3/2*y + 3/2*y**o = 0.
-1
Let b(v) = v**4 - v**3 + v**2. Let u(g) = 13*g**4 - 93*g**3 + 225*g**2 - 208*g + 64. Let t(y) = b(y) - u(y). Determine m so that t(m) = 0.
2/3, 1, 2, 4
Determine d so that 4/9 - 4/9*d**3 - 4/9*d**2 + 4/9*d = 0.
-1, 1
Let v be (1/6)/(175/450). Find r, given that 2/7*r**3 - v*r**4 + 1/7 + 1/7*r**5 - 3/7*r + 2/7*r**2 = 0.
-1, 1
Factor -4/7*y**3 - 16/7*y - 16/7*y**2 + 0.
-4*y*(y + 2)**2/7
Factor -25/2 - 65/2*q - 3/2*q**3 + 29/2*q**2.
-(q - 5)**2*(3*q + 1)/2
Let c(d) be the third derivative of d**6/24 + d**5/6 - 5*d**4/8 - 35*d**2. Solve c(h) = 0.
-3, 0, 1
Factor 8 - 4*m**3 + 5*m**3 + 20*m + 0*m**3 + 3*m**3 + 16*m**2.
4*(m + 1)**2*(m + 2)
Suppose -5*s + s = 0. Suppose s = -5*t + t + 8. Let 16*d**2 - 16*d**t + 2*d**3 - d**5 - d = 0. Calculate d.
-1, 0, 1
Let t(j) = j**4 - 2*j**3 - 3*j**2 + 4*j + 4. Let p(f) = -2*f**4 + 3*f**3 + 5*f**2 - 7*f - 7. Let b(x) = 4*p(x) + 7*t(x). Factor b(l).
-l**2*(l + 1)**2
Suppose -3*y = -y - 26. Suppose x = 3*g + y, 11 = 3*x + g + 2. Factor -3*o**4 - 2*o**4 + x*o**4 - o**3.
-o**3*(o + 1)
Suppose 0 = 10*h - 15*h + 20. Let m(i) be the first derivative of 1/6*i**2 - 1 + 2/15*i**5 + 0*i - 2/9*i**3 - 1/12*i**h. Factor m(s).
s*(s - 1)*(s + 1)*(2*s - 1)/3
Let h = -23 - -32. Let q be (-6)/h - 22/(-6). Let 6/5*p**2 - 12/5*p - 1/5*p**q + 8/5 = 0. Calculate p.
2
Suppose -5*u - 18 = -3*u. Let y be 1 + ((-6)/u)/(-2). Let 2*g**3 + 2*g**2 + y*g**4 + 0 + 2/3*g = 0. Calculate g.
-1, 0
Let t(j) be the second derivative of j**5/20 + 3*j**4/4 + 5*j**3/2 + 7*j**2/2 - j. Let o be t(-7). Factor -1/2*d**2 + o*d + 1/2.
-(d - 1)*(d + 1)/2
Let c(g) be the second derivative of -3*g**5/35 + g**4/42 + g**3/21 - 6*g. Suppose c(v) = 0. Calculate v.
-1/3, 0, 1/2
Let j(q) = -12 - q + 1 + 4. Let w be j(-9). Let 1/2*z**w + 1/2*z**3 - 1/2*z**4 + 0*z + 0 - 1/2*z**5 = 0. What is z?
-1, 0, 1
Let j(w) be the second derivative of 2*w + 1/50*w**5 + 1/2*w**2 + 0*w**3 + 1/30*w**4 + 0. Let d(k) be the first derivative of j(k). Factor d(b).
2*b*(3*b + 2)/5
Let l(x) = x**2 - 21*x - 7. Let b(a) = a**2 - 11*a - 3. Let v(p) = 5*b(p) - 3*l(p). What is u in v(u) = 0?
-3, -1
Factor -40*n**2 + 1 + 0 + 37*n**2 + 2.
-3*(n - 1)*(n + 1)
Let j(k) be the second derivative of k**6/600 - k**5/150 - k**2 - 2*k. Let d(r) be the first derivative of j(r). Suppose d(s) = 0. Calculate s.
0, 2
Let q = -4156/9 - -462. Factor -2/9*j + 0 - q*j**2.
-2*j*(j + 1)/9
Let t be (-1)/(-27)*3/1. Let p(f) be the first derivative of 2/45*f**5 - 2/9*f + 2/9*f**2 + 0*f**3 + 2 - t*f**4. Solve p(q) = 0.
-1, 1
Find b such that -6/7*b**3 - 9/7*b**4 + 0*b + 0 - 3/7*b**5 + 0*b**2 = 0.
-2, -1, 0
Suppose -5*r + 0*r - 17 = -d, 4 = -d - 2*r. Determine b so that -4*b**3 + 9*b**3 - 4*b**d - 3*b + 4*b - 2*b**3 = 0.
0, 1/3, 1
Let z(x) be the third derivative of x**6/420 + x**5/105 + x**4/84 + 4*x**2. Find l such that z(l) = 0.
-1, 0
What is c in -1/3*c**2 - 1/3*c**3 + 1/3*c + 1/3 = 0?
-1, 1
Let y = 6 + -11. Let j(s) = -s**3 - 19*s**2 - 27*s - 1. Let l(w) = -w**3 - 13*w**2 - 18*w - 1. Let a(u) = y*j(u) + 8*l(u). Factor a(b).
-3*(b + 1)**3
Let n be 8/(-5)*(-15)/6. Let x = 7 - n. Suppose -11*t**2 - 7*t**4 - 5*t**3 + 5*t + 21*t**x - 3*t = 0. Calculate t.
0, 2/7, 1
Let o(u) be the third derivative of u**8/420 - 2*u**7/175 + u**6/50 - u**5/75 + 15*u**2. Factor o(m).
4*m**2*(m - 1)**3/5
Let r(t) be the second derivative of t**5/80 - t**3/24 - 4*t. What is o in r(o) = 0?
-1, 0, 1
Let a(v) be the second derivative of v**6/25 + 4*v**5/25 - v**4/2 + 4*v**3/15 + 20*v. Suppose a(m) = 0. What is m?
-4, 0, 1/3, 1
Suppose 2*n - 4 - 6 = 0. What is a in 2*a - n*a**3 + 2*a**2 + 16*a**4 - 18*a**4 + 3*a**3 = 0?
-1, 0, 1
Suppose 4*s - 7 = 3*s - x, -7 = 4*s - 3*x. Let h be (s - 4)/(-2) + 1. Factor 2/3*j**h + 8/3 + 8/3*j.
2*(j + 2)**2/3
Let m be -2 + 1 + 5 - 25/7. Let 0 + m*i + 3/7*i**2 = 0. Calculate i.
-1, 0
Suppose 1/2 + y**2 - 5/4*y - 1/4*y**3 = 0. What is y?
1, 2
Let n(i) be the third derivative of -i**4/24 - i**3/6 - 2*i**2. Let r be n(-3). Factor r*u**2 + 0*u**5 - 4*u**3 + 10*u**4 - 2*u**3 - 4*u**4 - 2*u**5.
-2*u**2*(u - 1)**3
Let t be 2 + 4 + -3 - (3 + -2). Determine m so that 6/5 + 9/5*m + 3/5*m**t = 0.
-2, -1
Let x = -5 + 6. Factor 4 - 3 - x - 2*t - t**2.
-t*(t + 2)
Let v(g) be the third derivative of 2/15*g**5 - 1/12*g**4 + 4*g**2 + 0*g + 0 + 0*g**3. Factor v(u).
2*u*(4*u - 1)
Find y such that -1/3*y**3 - 1/3*y**4 + 0*y**2 + 0*y + 0 = 0.
-1, 0
Suppose j - 2*j = -4. Solve -j*u**2 + 2*u**2 + 0*u**2 + 17 - 15 = 0 for u.
-1, 1
Suppose 1 + 3 = 2*o. Determine x, given that 2*x + o - 1 - 1 + 3*x**2 = 0.
-2/3, 0
Let w = 236 + -1421/6. Let x = w + 4/3. Let x + 1/2*b**2 - b = 0. What is b?
1
Let k(m) = 4*m**2 + 5*m + 1. Let r(b) = b**2 + b. Let j(l) = -k(l) + 3*r(l). Suppose j(y) = 0. Calculate y.
-1
Let t = 215 + -643/3. Find n, given that 2/3 - 4/3*n**2 + 2/3*n + 2/3*n**4 + t*n**5 - 4/3*n**3 = 0.
-1, 1
Let b(s) be the second derivative of 2*s + 0 - 1/120*s**6 + 0*s**2 - 1/40*s**5 + 1/48*s**4 + 1/12*s**3. Factor b(m).
-m*(m - 1)*(m + 1)*(m + 2)/4
Let o(w) be the second derivative of w**5/20 + w**4/12 - w**3/6 - w**2/2 - 5*w. Let o(b) = 0. What is b?
-1, 1
Let b(r) be the second derivative of -1/10*r**5 - 1/12*r**3 + 5/24*r**4 + 0*r**2 + 0 + r. Factor b(g).
-g*(g - 1)*(4*g - 1)/2
Let n = 5 - 3. Let i(m) be the second derivative of -9/20*m**5 - m + 5/6*m**3 - 1/2*m**n - 1/4*m**4 + 0. Factor i(f).
-(f + 1)*(3*f - 1)**2
Let a = -457 - -459. Factor -1/4*h**5 + 1/4*h**a - 2*h - 1/4*h**4 + 1 + 5/4*h**3.
-(h - 1)**3*(h + 2)**2/4
Let x(j) be the second derivative of 15*j**7/56 + 11*j**6/24 - 25*j**5/16 - 25*j**4/16 + 10*j**3/3 + 5*j**2/2 + 9*j. Determine h so that x(h) = 0.
-2, -1, -2/9, 1
Suppose 0 + 2/11*x + 2/11*x**4 - 2/11*x**2 - 2/11*x**3 = 0. Calculate x.
-1, 0, 1
Find g, given that 4/3*g + 4*g**2 - 8/3 - 4/3*g**3 - 4/3*g**4 = 0.
-2, -1, 1
Suppose 0 = 5*j - 4*u - 158, -3*j = -3*u - 2*u - 100. Let g be (8/(-6))/(j/(-9)). Solve -4/5*y + 2/5 + g*y**2 = 0.
1
Let w(j) be the third derivative of j**7/30 + 23*j**6/120 + 9*j**5/20 + 13*j**4/24 + j**3/3 - 12*j**2. Factor w(b).
(b + 1)**3*(7*b + 2)
Factor -2/9*f**5 + 0 - 2/9*f**3 + 0*f**2 + 4/9*f**4 + 0*f.
-2*f**3*(f - 1)**2/9
Let h be (1*-15 + 0)/1. Let a(y) = -y - 15. Let r be a(h). Solve 0 - 1/2*f**2 + r*f = 0 for f.
0
Determine q so that -1/3*q + 0 + 2/3*q**5 - q**2 - 1/3*q**3 + q**4 = 0.
-1, -1/2, 0, 1
Determine m so that 21*m**3 + 15*m**4 - 3*m**3 + 18*m**2 + 33*m**3 = 0.
-3, -2/5, 0
Let w be (24/(-108))/(4/(-6)). Let t(v) be the first derivative of -v + 3 - v**2 - w*v**3. Determine r so that t(r) = 0.
-1
Let s(r) be the second derivative of -r**9/75600 + r**7/12600 + r**4/4 - r. Let h(c) be the third derivative of s(c). Determine p, given that h(p) = 0.
-1, 0, 1
Let 19 + 18 - 10 + 18*m - 84*m**2 + 87*m**2 = 0. Calculate m.
-3
Suppose -5*q + 4 = -b - 0, 5*b - 5*q = 0. Let c be (3/9)/(b/9). Factor 4*y + 3*y**2 + 5*y**2 - c*y**2 - 3*y**2.
2*y*(y + 2)
Let w(l) be the third derivative of l**7/42 + l**6/12 + l**5/12 - 4*l**2 - 8. Factor w(c).
5*c**2*(c + 1)**2
Let j(o) = -o**3 + 2*o - 1. Suppose 5*z = 5*p, 2*z + 12 = -2*z - 2*p. Let i be j(z). Factor -t**4 + 0*t**i - t**4 + 2*t**3.
-2*t**3*(t - 1)
Let q(s) = -s**2 + s - 1. Let i(f) = f**2 - 10*f + 1. Let p(b) = -i(b) - 4*q(b). Factor p(n).
3*(n + 1)**2
Let w(h) be the third derivative of -h**8/336 + h**7/210 + h**6/60 + 2*h**2 + 1. Factor w(m).
-m**3*(m - 2)*(m + 1)
Let i(n) = -5*n**4 + 7*n**3 + 4*n**2 - 4*n. Let b(v) = v - 3*v - 2*v + 4*v**2 + 8*v**3 - 6*v**4. Let s(d) = 2*b(d) - 3*i(d). Factor s(l).
l*(l - 2)*(l + 1)*(3*l - 2)
Let j(z) = 21*z**2 - 14*z + 4. Let s(p) = 125*p**2 - 85*p + 25. Let w(y) = 25*j(y) - 4*s(y). Find g such that w(g) = 0.
0, 2/5
Let h(d) be the first derivative of 5*d**4