l(r) = -2*r**3 - 2*r**2 + 2*r. Let f be l(-2). Suppose 2*i - 10 = -f. Factor 5*t**3 - 4*t**3 - 2*t**2 - t - 2*t**i.
-t*(t + 1)**2
Let l = 194/5 + -38. Let u(v) be the first derivative of 4/5*v**2 + 2/5*v**4 + 2/25*v**5 + 2/5*v - 2 + l*v**3. Let u(d) = 0. What is d?
-1
Let x(u) be the third derivative of u**8/840 - 4*u**7/525 + u**6/50 - 2*u**5/75 + u**4/60 - 31*u**2. Factor x(m).
2*m*(m - 1)**4/5
Let d(l) be the first derivative of -l**8/2520 - l**7/315 - l**6/90 - l**5/45 - l**4/36 - l**3 - 4. Let h(f) be the third derivative of d(f). Factor h(q).
-2*(q + 1)**4/3
Factor 3/4*v - 3/4*v**3 + 3/2 - 3/2*v**2.
-3*(v - 1)*(v + 1)*(v + 2)/4
Let n(z) = 17*z**4 - 7*z**3 - 9*z**2 + 9*z + 9. Let f(g) = 4*g**4 - 2*g**3 - 2*g**2 + 2*g + 2. Let i(x) = -9*f(x) + 2*n(x). Factor i(r).
-2*r**3*(r - 2)
Let y(w) be the first derivative of w**5/60 + w**4/36 - w**3/18 - w**2/6 - 4*w + 2. Let z(r) be the first derivative of y(r). Factor z(g).
(g - 1)*(g + 1)**2/3
Let p(g) be the second derivative of 8*g**7/21 - 4*g**6/5 - 3*g**5/4 - g**4/6 - g. Factor p(l).
l**2*(l - 2)*(4*l + 1)**2
Let o be 210/99 + (1 - 1) + -2. Let x(b) be the first derivative of -4/55*b**5 + 1/22*b**4 + o*b**3 - 1/33*b**6 - 1 + 0*b + 0*b**2. Suppose x(m) = 0. What is m?
-2, -1, 0, 1
Let x(n) be the first derivative of n**6/6 + n**5/4 - 11*n**4/16 - 7*n**3/12 + 7*n**2/8 + n/2 - 5. Find p such that x(p) = 0.
-2, -1, -1/4, 1
Let v(t) be the first derivative of 3/8*t**2 + 1/2*t - 3 + 1/12*t**3. Factor v(a).
(a + 1)*(a + 2)/4
Let l(r) be the second derivative of r**5/100 + r**4/20 + r**3/15 - 28*r. Factor l(b).
b*(b + 1)*(b + 2)/5
Let g = -6 + 15. Let q be 3/(-3*(-3)/g). Determine y, given that -8*y**3 + 9*y**5 - 7*y**2 + 9*y**4 - y - q*y**4 + y**2 = 0.
-1, -1/3, 0, 1
Let y = 6 - 1. Let l(v) = 2*v**3 - 18*v**2 - 10*v - 6. Let i(q) = q**3 - 12*q**2 - 7*q - 4. Let j(p) = y*l(p) - 8*i(p). Factor j(u).
2*(u + 1)**3
Let k(j) be the second derivative of 2*j**6/75 + 5*j. Factor k(l).
4*l**4/5
Let s(b) = 3*b**3 + 4*b**2 + 4*b + 4. Let o(p) = 2 + 5*p + 1 + 2 + 4*p**3 + 7*p**2 - 2*p**2. Let m(v) = -4*o(v) + 5*s(v). Factor m(a).
-a**3
Let k(h) = -h**2 + 5*h + 2. Let y(l) = 2*l - 1. Let d be y(3). Let j be k(d). Let 0*z**2 - 3*z**2 - 5*z - 2 + z + z**j = 0. What is z?
-1
Suppose -6*h = -h - 130. Let a = h - 18. Determine s, given that 21*s**2 + a + 21*s**4 + 45*s**3 - 8 + 6*s**4 + 3*s = 0.
-1, -1/3, 0
Suppose -n + d = 2*n - 13, -d - 10 = -2*n. Solve 84*x + 17*x**4 + 7*x**4 + 75*x**n + 24 + 3*x**5 + 64*x**2 + 50*x**2 = 0 for x.
-2, -1
Let b(n) = -n + 7. Let o be 10*(-3)/(-12)*2. Let x be b(o). Determine l so that -1 + l**2 - 2*l + l**3 - l + x*l**3 = 0.
-1, -1/3, 1
Let u = 974 - 3877/4. Factor -1/2 - u*f**3 + 7/4*f**4 - 1/4*f + 15/4*f**2.
(f - 1)**3*(7*f + 2)/4
Let n be -8*(-15)/(-1020) + 82/119. Factor 0*o**2 + 6/7*o**4 + 0 + n*o**3 + 2/7*o**5 + 0*o.
2*o**3*(o + 1)*(o + 2)/7
Let p be -3 - 3/(9/(-24)). Suppose -5 = -p*j + 5. Determine s, given that s - 1 + 3/4*s**j = 0.
-2, 2/3
Let y(n) be the first derivative of n**5/20 + n**4/8 - n**3/12 - n**2/4 - 14. Solve y(d) = 0 for d.
-2, -1, 0, 1
Suppose b + f - 15 = -2*f, -5*f + 25 = -b. Suppose -h + 8 - 5 = b. Factor -8/11*c**2 + 0 - 6/11*c**h - 2/11*c.
-2*c*(c + 1)*(3*c + 1)/11
Let a(g) be the third derivative of 0 + 1/270*g**6 + 1/270*g**5 + 1/945*g**7 - 4*g**2 + 0*g**4 + 0*g**3 + 0*g. Factor a(x).
2*x**2*(x + 1)**2/9
Suppose 0 = 2*l - 5*l + 12. What is g in -4 - 3*g - l*g**2 + 12*g - g = 0?
1
Let r(g) = -2*g**2 + 4*g. Let d(q) = 4*q**2 - 8*q. Let a = -2 - 3. Let u(t) = a*r(t) - 2*d(t). Factor u(s).
2*s*(s - 2)
Let h(p) be the first derivative of p**6/3 - 4*p**5/15 - 2*p**4/3 + 4*p**3/9 + p**2/3 - 1. Determine o so that h(o) = 0.
-1, -1/3, 0, 1
Let n(z) be the first derivative of 0*z + 7 + 2*z**2 + 4/3*z**3. Factor n(v).
4*v*(v + 1)
Factor 2/3*m**2 - 4*m + 4/3*m**3 - 1/3*m**4 - 3.
-(m - 3)**2*(m + 1)**2/3
Let i(l) = -l - 19. Let u be i(-25). Factor u*n - 2/5 + 50*n**3 - 30*n**2.
2*(5*n - 1)**3/5
Let f = -2/1077 + 419/32310. Let z(c) be the third derivative of 0*c**4 + 0*c + 0 - 2*c**2 + f*c**6 + 0*c**3 - 1/315*c**7 - 1/90*c**5. Factor z(m).
-2*m**2*(m - 1)**2/3
Let v be ((-7)/(-4))/((-2)/8). Let c be ((-2)/4)/((-2)/24). Let r(b) = -8*b**2 + 8*b + 7. Let w(l) = -7*l**2 + 7*l + 6. Let g(o) = c*r(o) + v*w(o). Factor g(h).
h*(h - 1)
Let w(f) be the first derivative of f**4/12 + 5*f**3/9 + 4*f**2/3 + 4*f/3 + 6. Factor w(r).
(r + 1)*(r + 2)**2/3
Factor f - 3*f**3 - 6*f - 2*f**3 - 15*f**2 + 5*f**2.
-5*f*(f + 1)**2
Let j(f) be the first derivative of f**6/6 + f**5/5 - f**4/4 - f**3/3 - 6. Factor j(n).
n**2*(n - 1)*(n + 1)**2
Let f(d) = d**3 + 2*d**2 - d. Let j be f(-2). Let h(z) = 5*z**2 + 4*z + 2. Let c be h(-2). Determine b so that -49/2*b**2 - j - c*b = 0.
-2/7
Let u = 5 + -2. Factor -4*q + 6*q**2 - 4*q**u + 1 + 2*q**3 + q**4 - 2*q**3.
(q - 1)**4
Let c(u) be the second derivative of -u**5/4 - 5*u**4/12 - 4*u. Factor c(r).
-5*r**2*(r + 1)
Find g, given that -4*g**4 - 7*g**3 - g**3 - 10*g**2 + 6*g**2 = 0.
-1, 0
Let 0*n - 2/9*n**5 + 2/9*n**3 - 2/9*n**2 + 0 + 2/9*n**4 = 0. What is n?
-1, 0, 1
Suppose g + 0 - 1/3*g**2 = 0. Calculate g.
0, 3
Let g(t) be the first derivative of t**6/14 - 3*t**5/35 - 3*t**4/28 + t**3/7 + 8. Factor g(w).
3*w**2*(w - 1)**2*(w + 1)/7
Let u be 12/32 + (-3)/15. Let f(l) be the second derivative of 0 + l - u*l**5 + 0*l**2 - 3/4*l**3 + 5/8*l**4 + 1/60*l**6. Factor f(j).
j*(j - 3)**2*(j - 1)/2
Let -10*k**2 + 6*k**2 + k**3 + 3*k**3 + 6*k**2 = 0. What is k?
-1/2, 0
Let n be -25*4/40*-6. Let c = n + -59/4. Factor 0*f**2 + 1/4*f - c*f**3 + 0.
-f*(f - 1)*(f + 1)/4
Let k(z) be the third derivative of z**7/70 - z**6/120 - 2*z**5/15 - z**4/6 + 40*z**2. Let k(c) = 0. What is c?
-1, -2/3, 0, 2
Let x(r) be the third derivative of -r**9/3780 + r**7/210 - r**6/90 + r**4/24 + 4*r**2. Let d(i) be the second derivative of x(i). Solve d(b) = 0 for b.
-2, 0, 1
Let t be -2 + 7 + -1*3/1. Factor -2/3*f**4 - t*f**2 + 0 + 2/3*f + 2*f**3.
-2*f*(f - 1)**3/3
Let j(n) = n**2. Suppose -5*g = 4 - 14. Let r(l) be the second derivative of 5*l**4/6 - 3*l**3 + 2*l**2 - 4*l. Let y(v) = g*j(v) - r(v). Factor y(p).
-2*(p - 2)*(4*p - 1)
Let n(s) be the second derivative of 0*s**2 + 0 - 1/84*s**7 + 0*s**3 + 0*s**4 + 5*s - 1/40*s**5 + 1/30*s**6. Factor n(z).
-z**3*(z - 1)**2/2
Let x be ((-10)/8)/(6/(-24)). Factor 16*d - x*d**2 - 7*d - d + d**2.
-4*d*(d - 2)
Suppose 3*a - 2*w - 2 = 0, -a - w - 1 = -3*a. Find r such that a - 1/4*r**2 + 0*r**3 + 1/4*r**4 + 0*r = 0.
-1, 0, 1
Suppose 4*k + 2*p - 10 = 0, 2 = -2*p + 4. Suppose 0*v**k + 2*v + 3*v**3 - 2*v**2 - v**2 - v**4 - v = 0. Calculate v.
0, 1
Let p(c) = -c**2 - c - 1. Let b(h) = 8*h**3 - 18*h**2 + 24*h + 2. Suppose -7 = 5*o + 3*r, -o + r + 7 = 2*o. Let g(q) = o*b(q) + 6*p(q). Let g(z) = 0. What is z?
1/2, 2
Let d be ((-4)/6 + -2)*-6. Let g be (d/20)/(2/5). Determine a so that -2/3*a + 0*a**3 + 4/3*a**4 + 0 + 2/3*a**5 - 4/3*a**g = 0.
-1, 0, 1
Let i = -287759/240 + 1199. Let j(l) be the third derivative of 3*l**2 + 0 + i*l**5 + 1/96*l**4 - 1/480*l**6 - 1/24*l**3 + 0*l. Find r such that j(r) = 0.
-1, 1
Let c(s) be the first derivative of -s**6/27 - 2*s**5/45 + s**4/18 + 2*s**3/27 - 11. Factor c(j).
-2*j**2*(j - 1)*(j + 1)**2/9
Let v be 20/9*(-11)/((-154)/21). Determine o, given that 6*o - v*o**5 + 20/3*o**2 + 4/3 - 8*o**4 - 8/3*o**3 = 0.
-1, -2/5, 1
Let s = 11 - 7. Factor -6 + 6 + 6*f + s + 2*f**2.
2*(f + 1)*(f + 2)
Let p be (16/3)/(-4)*6/(-28). Factor p*j**2 - 2/7*j + 0.
2*j*(j - 1)/7
Let q = -61 + 185/3. Factor -q - 1/3*l + 1/3*l**2.
(l - 2)*(l + 1)/3
Let i(j) be the second derivative of j**5/60 + 2*j**2 + 3*j. Let q(l) be the first derivative of i(l). Factor q(g).
g**2
Suppose -8/7*q**2 + 4/7*q**5 - 8/7 - 20/7*q + 16/7*q**3 + 16/7*q**4 = 0. What is q?
-2, -1, 1
Let o = -1 - -4. Suppose 5*p - 3*x - 28 = 0, 0 = -o*p - 2*x + 17 - 4. Suppose -c**2 - 4*c**3 + 2*c**2 + p*c**3 = 0. Calculate c.
-1, 0
Let h = 1/163 - -323/489. Let 2/3*n + h*n**2 + 0 = 0. What is n?
-1, 0
Let y(c) be the second derivative of -c**6/660 + c**5/165 + c**4/132 - 2*c**3/33 - c**2 + 3*c. Let v(u) be the first derivative of y(u). What is x in v(x) = 0?
-1, 1, 2
Let j = -2679/4 + 670. Determine i so that 0*i - i**3 + 1/4*i**2 - j*i**4 + 0 + i**5 = 0.
-1, 0, 1/4, 1
Let m(k)