) be the first derivative of -3/11*k**2 + 0*k + 5 + 2/33*k**3. Let f(d) = 0. Calculate d.
0, 3
What is v in 1/2*v**2 + 0*v + v**3 + 0 - 3/2*v**4 = 0?
-1/3, 0, 1
Let i(g) = 4*g**4 + 16*g**3 - 36*g**2 - 16. Let l(k) = k**4 + 3*k**3 - 3 - 57*k + 57*k - 7*k**2. Let q(w) = 3*i(w) - 16*l(w). Factor q(f).
-4*f**2*(f - 1)*(f + 1)
Let h be ((-40)/(-18))/(2/(-3)). Let a = h - -76/21. Determine d so that 0*d**2 + 0*d + 0 + a*d**3 = 0.
0
What is k in 2*k**2 + 1/2*k**3 - 9 - 3/2*k = 0?
-3, 2
Let p = -84 - -88. Let o(a) be the first derivative of a**2 - 1/2*a**4 - 4*a + 4/3*a**3 + p. Factor o(q).
-2*(q - 2)*(q - 1)*(q + 1)
Let b(k) be the first derivative of k**5/30 + k**4/9 - k**3/9 - 2*k**2/3 + 6*k - 1. Let l(n) be the first derivative of b(n). What is z in l(z) = 0?
-2, -1, 1
Let d = -8 + 33/4. Let g be 2*3*4/12. Factor -3/2*h**2 + 0*h - 3/4*h**4 - g*h**3 + d.
-(h + 1)**3*(3*h - 1)/4
Let c be 34/6 - 16/24. Suppose 0 = -c*u + 2*u. Factor u*k**5 - k**4 + 3*k**3 - 3*k**5 - 2*k**4 + 0*k**3 + 3*k**2.
-3*k**2*(k - 1)*(k + 1)**2
Let x(q) be the first derivative of -4*q**3/27 + 4*q**2/9 + 4*q/3 + 13. Solve x(g) = 0.
-1, 3
Let x be 1 + -1*(-2 - -1). Factor 4*p**3 - 4*p**2 + 3*p**4 - x*p**5 + 2 + 2*p**4 - 2*p - 2*p**4 - p**4.
-2*(p - 1)**3*(p + 1)**2
Factor 0*r**2 - 2/3*r**3 + 2/3*r + 0.
-2*r*(r - 1)*(r + 1)/3
Let d(l) be the first derivative of l**4 - 16*l**3/3 + 10*l**2 - 8*l - 16. Factor d(u).
4*(u - 2)*(u - 1)**2
Let a(s) = -s**2 - s. Let k = -2 + 2. Let q be a(k). Determine f, given that 0 + q*f**3 + 2*f**3 + 4 - 6*f = 0.
-2, 1
Suppose -2*o = -5 + 1. Let z be (-2 + 1)*o/(-3). Factor -2/3*y**3 - z*y**2 + 2/3*y + 2/3.
-2*(y - 1)*(y + 1)**2/3
Let l(m) be the second derivative of 0 - m - 1/12*m**4 + 1/6*m**3 + 0*m**2. Factor l(t).
-t*(t - 1)
Let x(p) = -6*p - 1. Let r = 0 + -1. Let j be x(r). Factor 19/4*w**4 - 15/4*w**3 + 1/2*w - 7/4*w**j + 0 + 1/4*w**2.
-w*(w - 1)**3*(7*w + 2)/4
Let h(q) = q**4 + 14*q**2 - 10*q**2 + 4*q - 1 - 2*q**3 + 6 + 3*q**3. Let n(b) = b**2 + b + 1. Let m(a) = h(a) - 5*n(a). Factor m(y).
y*(y - 1)*(y + 1)**2
Let f = -535/88 + 53/8. Factor 2/11*k + f*k**3 - 8/11*k**2 + 0.
2*k*(k - 1)*(3*k - 1)/11
Let n(z) be the third derivative of 0 + 0*z**3 + 0*z + 1/30*z**5 - 2*z**2 + 1/30*z**6 - 1/6*z**4 - 1/105*z**7. Factor n(k).
-2*k*(k - 2)*(k - 1)*(k + 1)
Let o(l) = -10*l**3 + 28*l**2 - 12*l + 6. Let i(z) = 11*z**3 - 27*z**2 + 11*z - 5. Let c(d) = 6*i(d) + 5*o(d). Determine r so that c(r) = 0.
0, 3/8, 1
Let z = 217/4 + -54. Factor 0 - z*j**2 + 0*j.
-j**2/4
Let c be -1 + 2/(8/12). Let i(b) be the third derivative of 0*b + 0 - b**c + 0*b**4 + 0*b**5 + 1/60*b**6 + 0*b**3. Factor i(j).
2*j**3
Suppose 0 + 4/11*l**3 + 0*l**4 + 0*l**2 - 2/11*l - 2/11*l**5 = 0. What is l?
-1, 0, 1
Let z(u) be the first derivative of -1/4*u - 1/2*u**2 - 1/4*u**5 + 6 + 1/2*u**3 + 1/4*u**4. Determine s, given that z(s) = 0.
-1, -1/5, 1
Suppose 10 = i + 4*i. Factor 3/2*t**2 + 4*t + i.
(t + 2)*(3*t + 2)/2
Factor 12/5*b - 2 - 2/5*b**2.
-2*(b - 5)*(b - 1)/5
Suppose -2*z + 5 = 1. Factor -1 + 3*v**z - 6*v**2 + 2*v**2 + 2*v.
-(v - 1)**2
Suppose 7*x = 4*x + z + 8, 4*x + 2*z - 4 = 0. Solve l + 0*l**2 + l - 2*l**x + l**2 = 0 for l.
0, 2
Determine j so that 8 - 20*j - 5*j**3 + 1/2*j**4 + 33/2*j**2 = 0.
1, 4
Let m(b) = -3*b**5 - 5*b**4 - 12*b**3 + 13*b**2 + 8*b + 13. Let c(n) = 3*n**5 + 6*n**4 + 12*n**3 - 12*n**2 - 9*n - 12. Let q(h) = 7*c(h) + 6*m(h). Factor q(w).
3*(w - 1)*(w + 1)**3*(w + 2)
Let o(u) be the second derivative of 3*u**2 - 141/8*u**5 - 10*u**3 + 35/4*u**6 - 7/4*u**7 + 0 - 5*u + 145/8*u**4. Factor o(d).
-3*(d - 1)**3*(7*d - 2)**2/2
Find p, given that -16/9 - 4/9*p**2 - 16/9*p = 0.
-2
Let g(l) be the third derivative of -l**9/60480 - l**8/20160 + l**5/30 - 6*l**2. Let k(x) be the third derivative of g(x). Factor k(j).
-j**2*(j + 1)
Let u(f) be the first derivative of f**3/12 - 7*f**2/8 - 2. Factor u(v).
v*(v - 7)/4
Let q(l) be the third derivative of l**6/600 - l**4/40 - l**3/15 - 2*l**2. Factor q(t).
(t - 2)*(t + 1)**2/5
Let l = -499 + 501. Factor -27/2*k - 81/2*k**3 + 3/2 + 81/2*k**l.
-3*(3*k - 1)**3/2
Let j be 4598/66 + 1/3. Let b be (-8)/44 + j/22. Factor 0 + 1/3*a**2 - 1/3*a**b + 2/3*a.
-a*(a - 2)*(a + 1)/3
Factor -2/5*u**2 + 7/5*u + 2/5 - 7/5*u**3.
-(u - 1)*(u + 1)*(7*u + 2)/5
Let h(r) be the third derivative of r**5/60 + r**2. Let s(l) = 8*l**2 + 4*l. Let b(v) = -2*h(v) - s(v). Let b(p) = 0. Calculate p.
-2/5, 0
Let h(r) = -2*r**2 - 5. Let i(v) = v**2 + 5. Let n(u) = -6*h(u) - 7*i(u). Factor n(b).
5*(b - 1)*(b + 1)
Let k = 8 - 5. Let 0*i**4 + 2 - 3*i**2 + 3*i**k - 2 - i**4 + i = 0. What is i?
0, 1
Let y(k) be the second derivative of k**8/1344 + k**7/1260 - k**4/6 + 2*k. Let c(q) be the third derivative of y(q). Factor c(p).
p**2*(5*p + 2)
Let d(o) = -7*o - 4 + 8*o**2 - 7*o**2 + 8. Let w be d(7). Suppose 0 + 0*a - 1/3*a**2 + 2/3*a**3 - 1/3*a**w = 0. Calculate a.
0, 1
Let l(n) be the first derivative of -n**3 + 6*n**2 - 12*n - 10. Find h, given that l(h) = 0.
2
Suppose -6 = 3*m, -14 = -5*c + 5*m + 21. Suppose l - c = -3. Let 6*a**2 + 2*a**l - 2 + 0 + 6*a = 0. What is a?
-1, 1/4
Factor 0 - 2/3*g**3 - 2*g**2 - 4/3*g.
-2*g*(g + 1)*(g + 2)/3
Factor 12/7*s**3 + 3/7 + 3/7*s**4 + 12/7*s + 18/7*s**2.
3*(s + 1)**4/7
Factor -3/2*d**2 + 0 - 9/2*d.
-3*d*(d + 3)/2
Let t = -5/12 - -79/36. Determine y, given that 2/9 + t*y + 32/9*y**2 = 0.
-1/4
Let c(h) = -31 + 42*h**2 - 90*h - 11 + 9*h. Let m(u) = 0*u**2 - u**2 + 23*u + 12 - 4*u**2 - 7*u**2. Let k(d) = -5*c(d) - 18*m(d). Let k(x) = 0. Calculate x.
-1/2, 2
Let j(r) be the third derivative of -r**7/1680 - r**6/960 + r**5/480 + r**4/192 + 6*r**2. Factor j(w).
-w*(w - 1)*(w + 1)**2/8
Let q be (-3)/4 - 35/(-28). Factor q*f**3 - 1/4 + 0*f**2 - 1/2*f + 1/4*f**4.
(f - 1)*(f + 1)**3/4
Let x(w) = 20*w**2 + 47 + 43 + 54*w - 38. Let j(s) = s**3 - 61*s**2 - 162*s - 155. Let v(q) = -4*j(q) - 14*x(q). Factor v(d).
-4*(d + 3)**3
Suppose -13*g + 5 = -34. Factor -11/2*u - 1 - 35/4*u**2 - 25/8*u**g.
-(u + 2)*(5*u + 2)**2/8
Factor 4*i**4 + 3*i**5 + 10*i**4 + 3*i**2 - 17*i**4 - 3*i**3.
3*i**2*(i - 1)**2*(i + 1)
Suppose -6*l = -6*l + 2*l. Let x(c) be the second derivative of -1/24*c**4 + 2*c - 1/80*c**5 + 0*c**2 - 1/24*c**3 + l. Factor x(b).
-b*(b + 1)**2/4
Suppose 2*o - 4 = o. Let h(r) = r**2 - 4*r + 1. Let g be h(o). Solve g + 0 + u - u - u**2 = 0 for u.
-1, 1
Suppose 0 = -3*c + 6 - 0. Determine n so that -4*n + 3*n**3 - 4*n**2 + 6*n**2 + c*n**2 - 2*n**4 - n**5 = 0.
-2, 0, 1
Factor 3/7*l**4 - 6/7*l**2 + 9/7*l**3 - 36/7*l - 24/7.
3*(l - 2)*(l + 1)*(l + 2)**2/7
Let d(o) = -o + 2. Let y be d(2). Let b = -21 - -43/2. Suppose -b*z**2 + y - z = 0. What is z?
-2, 0
Let h be -4*(2/(-4) + (-9)/30). Suppose -2/5*k**3 - 2*k**2 - h*k - 8/5 = 0. What is k?
-2, -1
Let a(f) be the first derivative of -1/12*f**3 + 3 - 1/4*f + 1/4*f**2. Determine s so that a(s) = 0.
1
Let g be 5/(-5) - 10/(-16). Let t = 37/56 + g. What is u in -t + 0*u + 2/7*u**2 = 0?
-1, 1
Let i(g) be the first derivative of 0*g - 14/9*g**3 + 2 + 2/3*g**2. Suppose i(x) = 0. Calculate x.
0, 2/7
Let w(y) = 2*y**3. Let a be w(1). Factor -3 - q - q**a + 2 + 1.
-q*(q + 1)
Let y(k) = -11*k**2 - 3*k + 3 + 0*k - k**3 + 12*k**2. Let o(n) = n - 1. Let s(x) = 4*o(x) + y(x). Factor s(t).
-(t - 1)**2*(t + 1)
Let f(m) be the first derivative of -4*m**3/15 - 4*m**2/5 - 4*m/5 + 5. Factor f(k).
-4*(k + 1)**2/5
Let h = 2 + -1. Let j(n) = n + 1. Let z be j(h). Factor -2 + z*f + f - 4*f**3 + 2*f**4 + f.
2*(f - 1)**3*(f + 1)
Let g(l) = -l**2 - 5*l + 4. Let u be g(-7). Let o be 4/u*100/(-12). Factor -o*t**2 + 0 + 4/3*t.
-2*t*(5*t - 2)/3
Let c = 1610/9 + -178. Determine o, given that -2/9*o**4 - 4/3*o**2 - 2/9 - c*o - 8/9*o**3 = 0.
-1
Let m be (24/(-10))/(17/(-680)*36). Factor -16/3 - 1/3*p**2 - m*p.
-(p + 4)**2/3
Let y(h) be the third derivative of -h**6/600 - h**5/300 - 8*h**2. Factor y(x).
-x**2*(x + 1)/5
Let p(t) = 4*t + 2. Let v be p(-4). Let y = v - -24. Factor 2 + 20*r**2 + 12*r**3 + 0 + 8*r**3 + 10*r**4 + 2*r**5 + y*r.
2*(r + 1)**5
Let q be (-3)/45*-3*1. Factor -1/5*l**2 + 0 - q*l.
-l*(l + 1)/5
Let -1/8*d + 1/4*d**2 - 1/4 + 1/8*d**3 = 0. Calculate d.
-2, -1, 1
Suppose -2*f - 5*j = 15, 4*f + 5 = -21*j + 16*j. Suppose 1/2*p**2 + 0 - 1/2*p**4 - 1/4*p + 1/4*p**f + 0*p**3 = 0. Calculate p.
-1, 0, 1
Let c(r) be the f