**2/4
Let l be (-10)/4*(5 + -3). Let h(w) = -2*w - 5. Let u be h(l). Solve -9*y**3 + 3*y**3 + y**2 + u*y**3 = 0 for y.
0, 1
Factor -12/5*t**3 - 48/5*t**2 - 1/5*t**4 + 0 - 64/5*t.
-t*(t + 4)**3/5
Let p(o) be the third derivative of -o**5/330 - o**4/66 - o**3/33 + 16*o**2. Suppose p(u) = 0. Calculate u.
-1
Let x(f) be the second derivative of 25*f**4/12 - 65*f**3/6 - 15*f**2 - 8*f. Factor x(g).
5*(g - 3)*(5*g + 2)
Let p = -10 + 13. Let -6 - m**3 - p*m + 2 - m**3 + 9*m = 0. Calculate m.
-2, 1
Let q(w) be the first derivative of w**5/15 - 2*w**3/9 + w/3 - 29. Factor q(j).
(j - 1)**2*(j + 1)**2/3
Factor -1/5*v**3 - 1/5 - 3/5*v - 3/5*v**2.
-(v + 1)**3/5
Suppose -4/11*c**4 + 0 + 0*c**2 + 0*c + 0*c**3 - 2/11*c**5 = 0. Calculate c.
-2, 0
Solve 1/3*o**5 - 4/3*o**2 + 0*o + 1/3*o**4 + 0 - 4/3*o**3 = 0 for o.
-2, -1, 0, 2
Let f(a) be the third derivative of -2*a**7/105 - 13*a**6/30 - 16*a**5/5 - 6*a**4 - 5*a**2 + 1. Determine h so that f(h) = 0.
-6, -1, 0
Let p(v) be the second derivative of v**8/840 + v**7/420 - v**3/6 + 3*v. Let x(h) be the second derivative of p(h). Factor x(g).
2*g**3*(g + 1)
Let w(d) be the first derivative of 3*d**4/4 - 3*d**2/2 + 7. Factor w(g).
3*g*(g - 1)*(g + 1)
Let q = 72 - 70. Let -2/11 + 0*k + 2/11*k**q = 0. Calculate k.
-1, 1
Factor 15*k - 3*k**2 + 5 - 3*k + k**2 + 9.
-2*(k - 7)*(k + 1)
Let d = 211/3 + -69. Suppose -2*c + 3*t - 9 = -4*c, -5*t = -5. Find b such that 2/3*b**c - d*b + 0 - 2/3*b**2 = 0.
-1, 0, 2
Let j(d) = -d**3 + d**2 + 3*d + 3. Let p(h) = 4*h + 4. Let b(r) = 4*j(r) - 3*p(r). Factor b(m).
-4*m**2*(m - 1)
Suppose 2*t - 12 = 3*t - 4*h, -2*h + 6 = 0. Solve -1/4*b**4 + 1/4*b**2 + t + 1/4*b**3 - 1/4*b = 0.
-1, 0, 1
Factor -2/23*o**4 + 2/23*o - 2/23*o**3 + 0 + 2/23*o**2.
-2*o*(o - 1)*(o + 1)**2/23
Let f(u) be the second derivative of u**7/3150 + u**6/900 - 2*u**4/3 + 5*u. Let n(k) be the third derivative of f(k). Factor n(m).
4*m*(m + 1)/5
Let j(o) be the third derivative of 3*o**6/160 + o**5/40 - o**4/32 - 12*o**2. Factor j(w).
3*w*(w + 1)*(3*w - 1)/4
Let 9 + 1 + 44*x**2 + 6 - 48*x - 12*x**3 = 0. What is x?
2/3, 1, 2
Let h(i) be the second derivative of i**8/192 - i**7/70 + i**6/160 + i**5/120 - 5*i**2/2 + 4*i. Let a(v) be the first derivative of h(v). What is m in a(m) = 0?
-2/7, 0, 1
Let a be 0 + (-50)/9 + 6. Factor -2/9*u**5 - 4/9*u**2 + a*u**4 + 0*u**3 + 2/9*u + 0.
-2*u*(u - 1)**3*(u + 1)/9
Suppose -4 = -3*z + 2*y, 2*z - 4*z - y + 12 = 0. Factor -i + 2*i + i**2 + 3*i + z*i + 16.
(i + 4)**2
Let i = 36 - 36. Let 1/2*l - 1/2*l**5 - l**4 + i*l**3 + 0 + l**2 = 0. Calculate l.
-1, 0, 1
Let l = -1 - -5. Suppose b = -j - l*b + 25, -5*b = 5*j - 25. Factor 0*z + 2/7*z**4 - 4/7*z**2 + j*z**3 + 2/7.
2*(z - 1)**2*(z + 1)**2/7
Let y(a) be the first derivative of -5/28*a**4 + 0*a - 4 - 2/21*a**3 + 0*a**2. Solve y(i) = 0 for i.
-2/5, 0
Let u(p) = p**3 + 8*p**2 + 6*p - 3. Let m be u(-7). Determine l so that -l**m + 0*l**2 + 0 + 2/3*l**3 + 0*l = 0.
0, 2/3
Let z(o) = 9*o**3 - 3 - 26*o**4 + 9*o**5 - 6*o + 11 + 6*o. Let w(t) = 6*t**5 - 17*t**4 + 6*t**3 + 5. Let g(f) = -8*w(f) + 5*z(f). Suppose g(d) = 0. Calculate d.
0, 1
Let g(k) be the third derivative of -10*k**7/21 + 23*k**6/3 - 143*k**5/5 - 230*k**4/3 - 200*k**3/3 - 12*k**2. What is b in g(b) = 0?
-2/5, 5
Let v(o) be the first derivative of o**6/720 - o**5/120 + o**4/48 - o**3 - 4. Let m(n) be the third derivative of v(n). Factor m(c).
(c - 1)**2/2
Let d be (8/6 - 1) + (-30)/(-18). Let o(u) be the second derivative of 1/90*u**6 - 1/36*u**3 - 3*u - 1/36*u**4 + 0 + 0*u**d + 0*u**5 + 1/252*u**7. Factor o(r).
r*(r - 1)*(r + 1)**3/6
Factor 2/7*n**3 + 0*n + 0 - 2/7*n**4 + 0*n**2.
-2*n**3*(n - 1)/7
Let x(f) = -5*f**5 + 5*f**4 + 40*f**3 - 15*f**2 - 60*f + 40. Let a(g) = -g**4 - g**3 + g**2. Let z(i) = -5*a(i) - x(i). Solve z(k) = 0.
-2, 1, 2
Let x(r) be the third derivative of r**8/112 - r**7/70 - r**6/10 + r**5/5 + 47*r**2. Factor x(m).
3*m**2*(m - 2)*(m - 1)*(m + 2)
Let x(i) = i**2 + 5*i + 2. Let j be x(-7). Suppose -3*s = -5*b - 14, j = 4*s + b - 5*b. Suppose -6*n**3 + 4*n**3 + 0*n**s = 0. What is n?
0
Let v = -4 + 9. Let o(x) be the third derivative of 0 - 1/15*x**3 - 1/300*x**6 + x**2 + 0*x + 1/60*x**4 + 1/150*x**v. Suppose o(y) = 0. What is y?
-1, 1
Suppose -4 = -2*c - 0*c. Factor -4*q**2 - 3*q + q + q**4 + 2*q**c + 2*q**3 + q**4.
2*q*(q - 1)*(q + 1)**2
Let b(c) be the second derivative of -c**5/50 + c**3/15 - 10*c. Solve b(l) = 0 for l.
-1, 0, 1
Let m(v) be the first derivative of v**6/24 - v**5/10 + v**3/6 - v**2/8 - 11. Factor m(i).
i*(i - 1)**3*(i + 1)/4
Let o(k) be the first derivative of k**4/16 + k**3/8 - 3*k**2/4 - 6*k - 4. Let n(y) be the first derivative of o(y). Factor n(p).
3*(p - 1)*(p + 2)/4
Let x(v) be the second derivative of v**7/525 + v**2 - 2*v. Let h(f) be the first derivative of x(f). Factor h(q).
2*q**4/5
Let c(t) be the second derivative of t**5/4 + 25*t**4/12 + 5*t**3/2 - 45*t**2/2 - 5*t. Suppose c(v) = 0. Calculate v.
-3, 1
Let b(i) = -5*i - 28. Let u be b(-6). Let f(h) be the first derivative of 2/5*h**5 + 2*h**u - 3 + 1/6*h**6 - 4/3*h**3 + 0*h - 3/4*h**4. Factor f(m).
m*(m - 1)**2*(m + 2)**2
Let y(q) be the third derivative of -1/20*q**5 - 3*q**2 - q**3 + 0 - 3/8*q**4 + 0*q. Factor y(s).
-3*(s + 1)*(s + 2)
Let z be -1 - -5 - (1 + -1). Find b such that -z*b**2 - 7*b**4 - 3*b**3 + 2*b**2 + 10*b**4 + 4*b - 1 - b**3 = 0.
-1, 1/3, 1
Let v(r) be the third derivative of r**7/630 + 2*r**6/45 + 8*r**5/15 + 32*r**4/9 + 128*r**3/9 - 6*r**2. Let v(q) = 0. Calculate q.
-4
Factor -11/4*j - 9/4*j**2 - 1/4*j**3 - 1 + 1/4*j**4.
(j - 4)*(j + 1)**3/4
Let g be (-2)/(-3)*36/10. Let s = 736 - 3662/5. Factor -g*b - s - 2/5*b**2.
-2*(b + 3)**2/5
Let j be 3*-1*(20/4)/(-15). Let m(b) be the first derivative of -8*b - 4*b**2 + j - 2/3*b**3. Solve m(w) = 0 for w.
-2
Let x(s) be the first derivative of s**4 - 74*s**3/3 + 180*s**2 - 162*s + 21. Determine l, given that x(l) = 0.
1/2, 9
Let m(j) be the second derivative of j**6/15 + 3*j**5/10 + j**4/2 + j**3/3 + 13*j. Factor m(x).
2*x*(x + 1)**3
Let q(d) = 5*d + 19. Let m be q(-3). Determine c so that 0 + 27/2*c**m - 54*c**2 + 12*c + 21*c**3 - 6*c**5 = 0.
-2, 0, 1/4, 2
Let j be (24/(-90))/1 + (-15)/(-25). Factor -1/3*v**2 - j + 2/3*v.
-(v - 1)**2/3
Suppose -2*b + 8 = 3*h - b, -3*h = -b - 4. Suppose -8*n + 92*n**4 - 108*n**3 - 28*n**5 + 31*n**h + 29*n**2 + 0*n - 8*n**2 = 0. What is n?
0, 2/7, 1
Let o(l) = 2*l + 1. Let r be o(-1). Let f = r - -3. Solve -7*u**2 - u**4 + u**3 + 7*u**f = 0 for u.
0, 1
Let s be (4 - 5)/(9/(-21)). Let b(m) be the first derivative of 2 - 5/4*m**4 - m**2 + 0*m + s*m**3. Factor b(z).
-z*(z - 1)*(5*z - 2)
Let d(h) be the first derivative of -h**3/2 + h**2 + 2*h - 4. Let d(u) = 0. Calculate u.
-2/3, 2
Let c(z) be the first derivative of 4/15*z**5 - 1/3*z**4 + 4/3*z - 2 - 8/9*z**3 + 1/9*z**6 + 1/3*z**2. Solve c(g) = 0.
-2, -1, 1
Let n(j) = j**2 + 6 - 4*j + j + 6*j. Let h be n(-6). Let 0*p - 28*p**2 + h*p**4 + 4 + 6*p + 14*p**3 - 14*p**5 - 6*p**3 = 0. What is p?
-1, -2/7, 1
Let m(s) be the second derivative of s**5/5 + s**4/2 + s**3/3 + 18*s. Factor m(r).
2*r*(r + 1)*(2*r + 1)
Let r(a) be the second derivative of a**9/5292 + a**8/1176 + a**7/735 + a**6/1260 + 5*a**3/6 + 3*a. Let n(q) be the second derivative of r(q). Solve n(l) = 0.
-1, -1/2, 0
Let m(h) = h**2 + h + 1. Let d(o) = -3*o**4 - 12*o**3 - 12*o**2 + 6*o + 3. Let c(u) = -d(u) - 6*m(u). Factor c(a).
3*(a - 1)*(a + 1)**2*(a + 3)
Suppose c = -c. Let u(w) be the third derivative of 0*w**3 - 1/210*w**7 + 1/252*w**8 - w**2 + 0 + 0*w + 0*w**4 - 1/360*w**6 + c*w**5. Let u(p) = 0. Calculate p.
-1/4, 0, 1
Let h(k) be the third derivative of k**7/840 - k**6/240 - k**5/60 + k**4/48 + k**3/8 + 16*k**2. Factor h(w).
(w - 3)*(w - 1)*(w + 1)**2/4
Factor 3*c**2 + 2*c**2 - 3*c**2 + 2*c - 3*c**2.
-c*(c - 2)
Let d(s) be the third derivative of s**9/30240 - s**7/1680 - s**6/720 - s**4/8 + 5*s**2. Let b(x) be the second derivative of d(x). Factor b(r).
r*(r - 2)*(r + 1)**2/2
Let b(n) be the third derivative of -n**7/315 + n**6/180 + n**5/90 - n**4/36 + 6*n**2. Factor b(u).
-2*u*(u - 1)**2*(u + 1)/3
Let d = -2/55 + 169/110. Solve 1 - d*f - 3/2*f**4 - 3/2*f**2 + 7/2*f**3 = 0 for f.
-2/3, 1
Let k(y) be the third derivative of -6*y**2 - 1/36*y**4 - 1/180*y**5 + 0 + 0*y + 0*y**3 