/2
Let n(d) be the third derivative of d**8/8400 - d**6/600 - d**5/300 + 7*d**3/6 - 6*d**2. Let i(l) be the first derivative of n(l). Factor i(u).
u*(u - 2)*(u + 1)**2/5
Find r such that 5/2*r**2 + r + 3/2*r**3 + 0 = 0.
-1, -2/3, 0
Let f(o) be the third derivative of -o**6/480 - o**5/240 + o**4/48 - 34*o**2. Factor f(x).
-x*(x - 1)*(x + 2)/4
Suppose -4*m + 4*t = 0, -m + 11 = 3*t + 3. Find x such that 4/3*x + 1/3*x**m + 4/3 = 0.
-2
Let f = -9 + 16. Let p(q) = 6*q**3 - 8*q**2 - 6*q - 6. Let d(u) = -5*u**3 + 7*u**2 + 5*u + 5. Let b(o) = f*d(o) + 6*p(o). What is r in b(r) = 0?
-1, 1
Let q be -3*(-1 + (-3)/(-9)). Let j(z) = -z**2 + 8*z + 4. Let x be j(8). Determine w so that -4*w**3 + 0*w**4 + w**2 + 5*w**q + 2 - 1 + w**4 - x*w = 0.
1
Let r(m) = -m**4 + m**2 + m + 1. Let h(k) = -2*k**5 + k**4 + 4*k**3 + k**2 + k + 1. Let s(q) = 2*h(q) - 2*r(q). Factor s(w).
-4*w**3*(w - 2)*(w + 1)
Let d be (86/(-4) + 3)/10. Let u = -8/5 - d. Factor -u*m**3 + 1/4*m + 0 + 0*m**2.
-m*(m - 1)*(m + 1)/4
Determine l so that -6/11*l**4 + 0 + 4/11*l**2 - 10/11*l**3 + 0*l = 0.
-2, 0, 1/3
Let -30/7*u**4 + 18/7*u**5 - 22/7*u**3 + 22/7*u**2 + 0 - 4/7*u = 0. What is u?
-1, 0, 1/3, 2
Let d(t) be the second derivative of t**8/420 + t**7/35 + 2*t**6/15 + t**5/3 + t**4/2 - t**3 + t. Let n(i) be the second derivative of d(i). Factor n(x).
4*(x + 1)**3*(x + 3)
Let x(m) be the first derivative of 7*m**4/16 - 5*m**3/12 - 2*m**2 - m + 13. Factor x(n).
(n - 2)*(n + 1)*(7*n + 2)/4
Suppose 0 = c + 2*c - 60. Factor -y**2 - 20 + c.
-y**2
Let p be (-222)/(-8) + (-4)/16. Let k = -27 + p. Suppose -1/2 + b - k*b**2 = 0. What is b?
1
Let b(r) = -r**3 + 10*r**2 - 10*r + 11. Let y = 30 - 21. Let p be b(y). Factor 2/9 - 2/9*t**p + 2/9*t - 2/9*t**3.
-2*(t - 1)*(t + 1)**2/9
Let i(m) be the second derivative of 147*m**5/20 + 21*m**4/4 - 12*m**3 + 6*m**2 - 28*m. Factor i(u).
3*(u + 1)*(7*u - 2)**2
Let q(s) = -8*s**2 + 7*s - 17. Let p(u) be the first derivative of 4*u**3/3 - 2*u**2 + 8*u + 4. Let k(b) = 9*p(b) + 4*q(b). Solve k(d) = 0 for d.
1
Let y = -6368 - -19667/3. Let j = -185 + y. Factor 1/3*b**3 + j*b**4 + 5/3*b**5 + 0 - 2/3*b**2 + 0*b.
b**2*(b + 1)**2*(5*b - 2)/3
Suppose -3*v = -12*v + 18. Let r(w) be the first derivative of 3/2*w**v + 2*w + 1/3*w**3 + 4. Determine q, given that r(q) = 0.
-2, -1
Let z(l) be the first derivative of 0*l**2 + 0*l**3 + 1/5*l**5 - l - 1/30*l**6 - 1/3*l**4 + 1. Let j(d) be the first derivative of z(d). Factor j(v).
-v**2*(v - 2)**2
Let m(q) = q**3 - q + 1. Let n be (1 + 0)/(1/1). Let v(f) = -f**2 - f + 1. Let w = 6 - 7. Let g(a) = n*m(a) + w*v(a). Find z such that g(z) = 0.
-1, 0
Let w be 4/14 - 225/1890. Factor w*o**5 + 0*o + 1/3*o**4 + 0 + 1/6*o**3 + 0*o**2.
o**3*(o + 1)**2/6
Let f(p) be the second derivative of -p**6/90 + p**5/60 + p**4/12 - p**3/18 - p**2/3 - 11*p. Find o, given that f(o) = 0.
-1, 1, 2
Let i be (-5 - 39/(-5)) + (-2 - -2). Factor 2/5*l**2 - i*l**4 + 0*l + 0 + 8/5*l**5 + 4/5*l**3.
2*l**2*(l - 1)**2*(4*l + 1)/5
Let d be 9 - 1 - -6*(-1)/2. Let j(p) be the third derivative of -1/90*p**d - p**2 + 0*p**4 + 0 + 0*p + 0*p**3. Factor j(n).
-2*n**2/3
Factor 2/3*z**3 + 2/3*z + 4/3*z**2 + 0.
2*z*(z + 1)**2/3
Suppose 3*m + 3 = 4*m. Suppose -m*t + 24 = 9. Solve -6*l**3 + 0 + 1/4*l**2 - 43/4*l**4 + 1/2*l - 5*l**t = 0 for l.
-1, -2/5, 0, 1/4
Let y(t) be the third derivative of -1/60*t**5 - 1/24*t**4 + 0*t**3 + 1/210*t**7 + 4*t**2 + 0*t + 1/120*t**6 + 0. Factor y(i).
i*(i - 1)*(i + 1)**2
Let m(t) be the third derivative of t**5/30 - t**4/6 - 5*t**2. Factor m(x).
2*x*(x - 2)
Suppose -i = -5*i. Let f(j) be the second derivative of i*j**3 + 0 + 1/2*j**4 - 4*j**2 + 1/10*j**5 - 2*j. Factor f(k).
2*(k - 1)*(k + 2)**2
Suppose 3*y + 2 = -7*h + 3*h, -y - 2*h = 4. Let l be 8/6 + (-4)/(-6). Factor -2*k**4 + 4*k**3 - 4*k + 0*k**3 + y*k**l - 4*k**4.
-2*k*(k - 1)*(k + 1)*(3*k - 2)
Let f(d) be the third derivative of -d**6/200 + d**5/100 + d**4/10 - 2*d**3/5 - 2*d**2. Let f(b) = 0. What is b?
-2, 1, 2
Let b(j) be the first derivative of -2*j**3/27 - 8. Factor b(f).
-2*f**2/9
Suppose 0 = g + 3*g - 2*p - 10, 5*p = -5*g + 20. Factor 3*h + g*h**2 - 2*h - 4*h**2.
-h*(h - 1)
Factor -3*b**4 - 9 - 6*b**2 - 5*b**2 - 39*b + 19*b**3 - b**4 + 4*b**2.
-(b - 3)**2*(b + 1)*(4*b + 1)
Let q(n) be the first derivative of n**5/20 - n**4/8 - n**3/4 + n**2/2 + n - 11. Solve q(m) = 0 for m.
-1, 2
Let o(v) be the third derivative of -v**8/36960 + v**7/4620 - v**6/1320 + v**5/660 - v**4/4 + 5*v**2. Let x(h) be the second derivative of o(h). Factor x(m).
-2*(m - 1)**3/11
Let m = -300 - -170. Let w be (-75)/(-2)*(-13)/m. Let 3*p + 3/2*p**5 + 3 - 3*p**3 + w*p**4 - 33/4*p**2 = 0. Calculate p.
-2, -1/2, 1
What is u in 1/3 - u**4 + 3*u**5 + 5/3*u + 2/3*u**2 - 14/3*u**3 = 0?
-1, -1/3, 1
Let l(h) = h**3 - 15*h**2 + 7*h - 3. Let n(k) be the second derivative of 2*k**4/3 - 2*k**3/3 + k**2 - 6*k. Let s(j) = 6*l(j) + 10*n(j). Solve s(q) = 0.
-1/3, 1
Find a, given that 8/5 - 2*a**3 + 2/5*a**5 + 16/5*a - 2/5*a**4 + 2/5*a**2 = 0.
-1, 2
Suppose 1 = -2*l + 5. Factor -2*t**2 + 32*t**4 + 6*t**l - 12*t**5 - 22*t**3 - 2*t**5.
-2*t**2*(t - 1)**2*(7*t - 2)
Let w be ((-7)/4)/(10/(-16)). Factor 4/5 - 4/5*p**2 - 14/5*p**3 + w*p.
-2*(p - 1)*(p + 1)*(7*p + 2)/5
Let l(a) be the third derivative of -a**6/30 - a**5/15 - 2*a**2. Factor l(u).
-4*u**2*(u + 1)
Let j = 5 + -1. Find x, given that -x**4 - 12*x**2 + 7*x**4 - 6*x**3 + 10*x**2 + 2*x**j = 0.
-1/4, 0, 1
Let t be ((-3)/8)/(-3)*6. Factor -1/2 - 1/4*d**2 + t*d.
-(d - 2)*(d - 1)/4
Let u = 0 + -43. Let b = u - -45. What is t in 4/3*t**2 - b*t**3 - 1/3*t**5 - 1/3*t + 4/3*t**4 + 0 = 0?
0, 1
Suppose -3*m + 7 = 1. Factor 9/5*c**3 - 3/5*c**m + 0*c**4 + 0 - 12/5*c**5 + 0*c.
-3*c**2*(c + 1)*(2*c - 1)**2/5
Let w = 5 - 8. Let v be w/(0 + 3)*-3. Solve -2*b**4 - 4*b**3 + 3*b**3 + v*b**3 = 0.
0, 1
Let w(u) be the first derivative of -u**6/18 - 2*u**5/5 - 5*u**4/12 - 54. What is d in w(d) = 0?
-5, -1, 0
Let w be 1*(-1)/2*-10. Suppose l - 18 = -4*l + 3*f, -2*l - f + w = 0. Factor 6/5*t + 2/5*t**l + 2/5 + 6/5*t**2.
2*(t + 1)**3/5
Let u(o) be the first derivative of 2 - 1/10*o**5 - 1/3*o**3 + 0*o**2 - o - 1/3*o**4. Let d(b) be the first derivative of u(b). Factor d(l).
-2*l*(l + 1)**2
Find y such that -3*y + y + 0*y - 2 + 6*y - 2*y**2 = 0.
1
Factor 12/5 + 2/5*k**3 - 8/5*k**2 + 2/5*k.
2*(k - 3)*(k - 2)*(k + 1)/5
Let x(l) be the third derivative of -l**8/63 + 4*l**7/105 + 7*l**6/360 - 23*l**5/180 + l**4/8 - l**3/18 - 5*l**2. Solve x(m) = 0 for m.
-1, 1/4, 1
Suppose 3*t = -2*u - t - 6, -t = 2*u + 9. Let g be (-1)/(-1) - (u + 4). Find o, given that 0 + 2/5*o**g + 0*o = 0.
0
Find o, given that 4/11*o**5 + 4/11*o - 6/11*o**4 + 0 + 6/11*o**2 - 8/11*o**3 = 0.
-1, -1/2, 0, 1, 2
Let -l**3 + 0*l - 20/3*l**4 + 7*l**5 + 0 + 2/3*l**2 = 0. Calculate l.
-1/3, 0, 2/7, 1
Suppose 0*p - 2*l + 34 = 4*p, 2*p + 2*l - 12 = 0. Suppose 0 = 5*o + 1 - p. Suppose -s + 0*s - 2*s**o + 3*s = 0. Calculate s.
0, 1
Let y(g) be the first derivative of -g**6/15 + 3*g**5/20 + g**4/12 - g**3/2 + g**2/2 - 4*g - 1. Let b(h) be the first derivative of y(h). Factor b(s).
-(s - 1)**2*(s + 1)*(2*s - 1)
Factor 10*z - 3*z**2 + 4*z**2 - 14*z**2 - 12*z**2.
-5*z*(5*z - 2)
Suppose -9*j**2 - 6*j**3 - 7/3*j + 2/3 = 0. What is j?
-1, -2/3, 1/6
Let k(d) be the first derivative of -1/10*d**2 + 1/20*d**4 + 2/15*d**3 + 4 - 2/5*d. Factor k(j).
(j - 1)*(j + 1)*(j + 2)/5
Let y(t) be the first derivative of 2/3*t - 1/12*t**4 - 4 - 5/6*t**2 + 4/9*t**3. Factor y(l).
-(l - 2)*(l - 1)**2/3
Let g(q) = q**2 + 4*q - 3. Let s be g(-6). Suppose -5*a + s = 4*w - 10*a, 2 = -2*a. Find d such that -4 - d**2 + w + 3 - d + 2 = 0.
-2, 1
Let q = -11 + 35/3. Suppose -2*d**2 + 2/3*d**3 + 2*d - q = 0. What is d?
1
Let q(z) be the second derivative of z**6/45 - 2*z**5/15 + z**4/6 + 6*z. Factor q(d).
2*d**2*(d - 3)*(d - 1)/3
Suppose 41 - 47 = -2*x. Factor 100*c**x + 110*c**2 + 36*c - 375/4*c**4 - 625/4*c**5 + 4.
-(c - 1)*(5*c + 2)**4/4
Let t(c) be the first derivative of c**4/2 + 2*c**3/3 - 2*c**2 + 3. Find s such that t(s) = 0.
-2, 0, 1
Factor 0*w + 0 - 1/6*w**2.
-w**2/6
Let l(c) be the first derivative of 5*c**3/3 + 25*c**2 + 125*c - 3. Suppose l(o) = 0. Calculate o.
-5
Let j(v) be the second derivative of v**5/20 + 5*v**4/12 + 7*v**3/6 + 3*v**2/2 - 11*v. Factor j(o).
(o + 1)