2 = 0. Calculate l.
-3
Let h = -9 + 14. Let i(a) be the second derivative of -1/75*a**6 - 1/105*a**7 + 0*a**2 + 0*a**3 + 2*a + 0*a**4 + 1/25*a**h + 0. Factor i(s).
-2*s**3*(s - 1)*(s + 2)/5
Let j be 0 + 0 - (-11 + 11). Let x(i) be the second derivative of -1/3*i**4 + 0 + j*i**2 + 0*i**3 - 3*i + 1/10*i**5. Let x(v) = 0. Calculate v.
0, 2
Let u(d) be the third derivative of -d**6/1620 - d**5/270 - d**3/2 + 2*d**2. Let x(o) be the first derivative of u(o). Find v such that x(v) = 0.
-2, 0
Factor -3/2*m**2 + 0 + 0*m - 9/4*m**4 - 21/4*m**3.
-3*m**2*(m + 2)*(3*m + 1)/4
Suppose -2 = -2*g + 2*m, 3*m - 2*m + 9 = 5*g. Factor -c - 3*c**2 - 2*c**g + 2*c**2.
-c*(3*c + 1)
Let z = -14 + 16. Let t(h) be the second derivative of h + 1/4*h**z + 0 + 1/48*h**4 + 1/8*h**3. Solve t(x) = 0.
-2, -1
Suppose 0*v + 7 = 2*k + v, 2*k - 10 = 2*v. Determine f, given that f**4 - 3*f**2 + k + f + 5*f - 6 - f**3 - f = 0.
-2, 1
Suppose 0 + 0 = -4*j. Let x(b) be the third derivative of j + 0*b**3 + 0*b**4 + 1/42*b**7 + 1/30*b**5 + 0*b - 7/120*b**6 - b**2. Factor x(k).
k**2*(k - 1)*(5*k - 2)
Let b(a) = a**3 - 2*a - 2. Let c(d) = -2*d**3 + 5*d + 5. Let o(n) = -5*b(n) - 2*c(n). Let z(g) = -6*g**3 + g. Let m(i) = -5*o(i) + z(i). Factor m(t).
-t*(t - 1)*(t + 1)
Let y(g) be the second derivative of g**8/1344 - g**7/360 - g**6/90 + g**5/30 + 5*g**4/12 + 4*g. Let l(j) be the third derivative of y(j). Factor l(q).
(q - 2)*(q + 1)*(5*q - 2)
Let h(u) be the third derivative of -u**8/3360 - u**7/420 + u**5/15 - u**4/8 + 3*u**2. Let f(p) be the second derivative of h(p). What is g in f(g) = 0?
-2, 1
Let g(f) = f**2 + 20*f + 87. Let q be g(-6). What is w in 0 - 3/2*w**q - 3*w**2 + 9/2*w = 0?
-3, 0, 1
Let z = 7 + -9. Let s = z - -4. Let 6*h**s + 2*h**2 + 0*h**2 + 2 - 10*h = 0. Calculate h.
1/4, 1
Factor q**2 + 45*q**3 - 13*q**4 + 20*q + 8*q**2 - 69*q**2 + 3*q**4.
-5*q*(q - 2)**2*(2*q - 1)
Let m(q) = -q**3 + q**2 + 1. Let t(n) = -9*n**3 + 3*n**2 + 2*n + 5. Let d = -1 - -2. Let c(a) = d*t(a) - 5*m(a). Suppose c(o) = 0. Calculate o.
-1, 0, 1/2
Let l(z) be the third derivative of -z**5/12 + 5*z**4/4 - 37*z**2. Factor l(n).
-5*n*(n - 6)
Let f be ((-6)/(-9))/(2/9). Suppose f*k = -k + 16. Factor 4*l**2 - 2*l**4 - l**5 + 5*l**k + l**3 - 2*l**4 - 5*l**2.
-l**2*(l - 1)**2*(l + 1)
Let i(h) be the first derivative of -2*h**6/3 + 12*h**5/5 - 16*h**3/3 - 6. Let i(n) = 0. What is n?
-1, 0, 2
Find o, given that -3*o**3 + 3*o**4 + 4*o**5 + 0*o**3 - 3*o**2 - o**5 + 0*o**3 = 0.
-1, 0, 1
Let b(m) = -15*m + 1. Let p be b(-1). Let t be ((-15)/20)/((-42)/p). Determine c, given that 0*c + 0 + t*c**4 - 2/7*c**2 + 2/7*c**5 - 2/7*c**3 = 0.
-1, 0, 1
Suppose -p + m - 26 = -27, -5*p = 3*m + 3. Factor 0*q - 1/2*q**5 - 1/2*q**3 - q**4 + 0 + p*q**2.
-q**3*(q + 1)**2/2
Let v be (-4)/(-10) - 112/(-70). Let s(n) be the first derivative of 11/2*n**2 + 4 + 7/4*n**4 - 16/3*n**3 - v*n. Factor s(p).
(p - 1)**2*(7*p - 2)
Let s(i) be the first derivative of 0*i - 1/3*i**3 + 2 - 1/5*i**2 - 3/20*i**4. Determine p so that s(p) = 0.
-1, -2/3, 0
Let y(o) be the second derivative of -o**6/105 - 3*o**5/35 - 13*o**4/42 - 4*o**3/7 - 4*o**2/7 - 3*o. Factor y(r).
-2*(r + 1)**2*(r + 2)**2/7
Let d(r) be the first derivative of -1 + 0*r - 2/3*r**3 + 1/3*r**6 + 0*r**2 + 3/2*r**4 - 6/5*r**5. Factor d(a).
2*a**2*(a - 1)**3
Let b(u) be the first derivative of -u**5/50 + u**4/6 - 8*u**3/15 + 4*u**2/5 + 5*u - 6. Let j(v) be the first derivative of b(v). Factor j(t).
-2*(t - 2)**2*(t - 1)/5
Let -20/3 - 235/3*m**4 - 135*m**2 - 160/3*m - 15*m**5 - 455/3*m**3 = 0. What is m?
-2, -1, -2/9
Solve 2/3 + 4/3*h + 2/3*h**2 = 0 for h.
-1
Let k be (-1)/(-2) + -9 + 11 + -2. Factor u - 1/2*u**2 - k.
-(u - 1)**2/2
Let j(v) be the first derivative of -v**3/5 + 12*v**2/5 - 31. Factor j(b).
-3*b*(b - 8)/5
Let u(q) be the third derivative of q**5/390 - q**4/52 + 2*q**3/39 - 4*q**2. Solve u(b) = 0.
1, 2
Let o(q) be the second derivative of 0*q**3 + 0*q**2 - 1/126*q**7 + 0 + 3*q + 0*q**4 + 0*q**6 + 1/60*q**5. Factor o(a).
-a**3*(a - 1)*(a + 1)/3
Factor -26*t**2 + t + 12*t**2 + 6 + 13*t**2.
-(t - 3)*(t + 2)
Let p(y) be the third derivative of -1/840*y**6 + 0 + 1/420*y**5 + 0*y + 0*y**3 - 1/1470*y**7 - y**2 + 1/168*y**4. Let p(d) = 0. Calculate d.
-1, 0, 1
Let s be (-7)/28*2 + (-15)/(-6). Factor -8/3*g**3 + 22/9*g**2 + 0 - 4/9*g - s*g**4.
-2*g*(g + 2)*(3*g - 1)**2/9
Let x(d) be the second derivative of d**5/20 + d**4/3 + d**3/2 + 22*d. Factor x(u).
u*(u + 1)*(u + 3)
Let u(l) be the first derivative of -1/24*l**4 + 1/4*l**3 + 2*l + 2 - 1/2*l**2. Let s(r) be the first derivative of u(r). Let s(h) = 0. Calculate h.
1, 2
Let v(r) be the third derivative of -r**6/96 + r**5/20 + r**4/8 + 2*r**3/3 - 4*r**2. Let q(g) be the first derivative of v(g). Solve q(p) = 0.
-2/5, 2
Suppose 24*u**2 + 28 + 133*u**3 - 54*u - 274*u**3 + 143*u**3 = 0. What is u?
-14, 1
Suppose -3*a + 12 = 3. Determine s, given that -3/2*s**3 - 9/2*s**2 + 3/2*s + 3/2*s**4 + a = 0.
-1, 1, 2
Let o(i) be the first derivative of 2/33*i**3 + 0*i**2 + 0*i - 4 + 4/55*i**5 + 3/22*i**4. Solve o(u) = 0 for u.
-1, -1/2, 0
Let v(s) = 3*s**3 + 25*s**2 + 83*s + 83. Let a(o) = 6*o**3 + 49*o**2 + 167*o + 167. Let w = 4 + 1. Let j(l) = w*v(l) - 2*a(l). Factor j(b).
3*(b + 3)**3
Let y = -31 + 38. Let c(w) be the second derivative of -1/10*w**6 + 5/24*w**4 - w + 5/168*w**y + 0 + 1/20*w**5 - 3/8*w**3 + 1/4*w**2. Let c(m) = 0. What is m?
-1, 2/5, 1
Let m(f) be the second derivative of 2/7*f**3 + 0 - 4*f - 9/7*f**2 - 1/42*f**4. Suppose m(v) = 0. Calculate v.
3
Let x(j) = 14*j**4 - 132*j**3 + 36*j**2 + 7*j - 7. Let s(a) = 5*a**4 - 44*a**3 + 12*a**2 + 2*a - 2. Let u(p) = 21*s(p) - 6*x(p). Solve u(g) = 0 for g.
0, 2/7, 6
Let v(y) be the first derivative of -3*y**4/4 - 2*y**3 + 3*y**2/2 + 6*y + 6. Factor v(g).
-3*(g - 1)*(g + 1)*(g + 2)
Factor 3/2*a**2 + 0 - 15/2*a.
3*a*(a - 5)/2
Let f(a) = -2*a - 8. Let k be f(-6). Suppose -s = 2 - k. Factor 2*m**2 + 0*m**s - 4 + 3*m - m.
2*(m - 1)*(m + 2)
Let p be 2/(-4) - 1/2. Let g(n) = -2*n**3 - n. Let h be g(p). Factor 2*b**h + 0*b**4 + 0*b**4 + b**2 + b**4.
b**2*(b + 1)**2
Let h(d) = 6*d**2 - 14*d + 11. Let z(o) = o**2 - o + 1. Let j(i) = -4*h(i) + 36*z(i). Factor j(w).
4*(w + 2)*(3*w - 1)
Suppose -22 = -0*j - 11*j. Let m(u) be the third derivative of 0 + 0*u + 1/132*u**4 + u**j + 0*u**3 + 1/660*u**6 - 1/165*u**5. Factor m(q).
2*q*(q - 1)**2/11
Factor 0 - 2/7*i**2 + 2/7*i**3 + 0*i.
2*i**2*(i - 1)/7
Let x(u) be the second derivative of -u**5/210 + u**4/84 - u**2/2 - 7*u. Let k(s) be the first derivative of x(s). Factor k(d).
-2*d*(d - 1)/7
Let j(p) be the third derivative of 2/7*p**3 + 0*p + 0 + 5/42*p**4 + 1/105*p**5 - 4*p**2 - 1/210*p**6. Factor j(m).
-4*(m - 3)*(m + 1)**2/7
Solve 324/7*q + 72/7*q**2 + 4/7*q**3 + 0 = 0.
-9, 0
Let y(d) = -d + 12. Let h be y(9). Let -3*i**2 + 3*i**2 + h*i**2 - 5*i**2 = 0. Calculate i.
0
Let u(o) = -3*o**3 + 2*o**2 - o + 1. Let c(q) = -q**3 - q + 1. Let x(m) = 2*c(m) - 2*u(m). Factor x(z).
4*z**2*(z - 1)
Let o be 13/5 - 10/(-25). Factor 9 - 6*q**2 + o*q**3 + q**3 - 7*q**3 + 12*q + 15.
-3*(q - 2)*(q + 2)**2
Let i(x) be the second derivative of x**6/270 + 7*x. Factor i(y).
y**4/9
Let t(c) = c**3 - 3*c**2 + 14*c + 3. Let j(m) = -m**3 + 6*m**2 - 27*m - 7. Let d(y) = -3*j(y) - 5*t(y). Solve d(g) = 0 for g.
-3, -1/2, 2
Let a(t) be the first derivative of -3/2*t**4 - 2 + 0*t - 2*t**3 - 2/5*t**5 - t**2. Solve a(y) = 0.
-1, 0
Let k(r) = -r + 12. Let p be k(9). Suppose -q - 8 + p = 3*z, 3*q = z - 15. Suppose 2/3*a**2 + 4/3*a**3 - a**5 + z - 1/3*a - 2/3*a**4 = 0. What is a?
-1, 0, 1/3, 1
Suppose 20 = -5*g + 9*g. Let r be ((-3)/g)/((-27)/18). Factor 4/5*n - r - 2/5*n**2.
-2*(n - 1)**2/5
Let s(j) = -j**2 - 2*j - 2. Let v(o) = 2*o**2 + 3*o + 3. Let u(c) = 3*s(c) + 2*v(c). Determine z, given that u(z) = 0.
0
Let o(r) be the second derivative of 0*r**2 - 1/5*r**5 + 0 - 1/6*r**4 - 1/15*r**6 + r + 0*r**3. Factor o(j).
-2*j**2*(j + 1)**2
Find f such that -2*f**4 + 0 + 2*f**2 - 8/3*f**5 + 10/3*f**3 - 2/3*f = 0.
-1, 0, 1/4, 1
Let a(d) be the third derivative of -1/560*d**8 + 0*d**3 + 0 + 0*d + 0*d**7 - 1/40*d**4 + 1/100*d**6 + 2*d**2 + 0*d**5. What is b in a(b) = 0?
-1, 0, 1
Let c(y) be the second derivative of 1/5*y**5 - 3*y + 0*y**2 + 0 + 4/3*y**3 - y**4. Find h, given that c(h) = 0.
0