1 + 4 = o. Suppose 7*v**3 + v**3 - 5*v**o = 0. Calculate v.
0
Let u = -9 - -16. Factor u*w + 0*w**2 + 3*w**3 + 3*w**3 - 5*w**2 - 3 - 5*w**3.
(w - 3)*(w - 1)**2
Let z(s) be the third derivative of 3*s**2 + 0*s**3 + 0 + 1/30*s**5 - 1/60*s**6 + 0*s + 0*s**4. Factor z(h).
-2*h**2*(h - 1)
Suppose -5*l + 4*l + 4 = r, -l - 3*r = -6. Let y(o) be the third derivative of -1/12*o**4 - 1/3*o**l + 1/60*o**6 + o**2 + 0 + 0*o + 1/30*o**5. Factor y(s).
2*(s - 1)*(s + 1)**2
Factor 219*b - 219*b + 5*b**3 - 15*b**2.
5*b**2*(b - 3)
Factor -3/7*f**2 + 0*f + 0 - 6/7*f**3 - 3/7*f**4.
-3*f**2*(f + 1)**2/7
Suppose 3*a + b - 8 = a, a = -3*b + 14. Factor 3*g - g**a - 4*g + 0*g**2 + 1 + g**3.
(g - 1)**2*(g + 1)
Let d = 43 + -35. Suppose -f = -3*f + d. Factor -6/5*v**2 + 0*v**3 + 0 + 3/5*v - 3/5*v**5 + 6/5*v**f.
-3*v*(v - 1)**3*(v + 1)/5
Let f(w) be the second derivative of w**5/10 + 5*w**4/12 + 2*w**3/3 + w**2/2 + 4*w. Factor f(b).
(b + 1)**2*(2*b + 1)
Let a(o) be the second derivative of o**8/1120 + o**7/140 + o**6/60 - o**3/6 + 5*o. Let k(t) be the second derivative of a(t). Factor k(f).
3*f**2*(f + 2)**2/2
Factor 1/9*i**2 - 1/3*i + 2/9.
(i - 2)*(i - 1)/9
Let g(b) = b**2 + 2*b - 3. Suppose 4*u + 3*k = 2*k - 45, 75 = -5*u - 5*k. Let t be g(u). Solve -16*d**3 - 20*d**3 - 12 + 93*d**2 - 4*d**4 + 36*d - t*d**4 = 0.
-1, -2/3, 2/9, 1
Let x(f) be the third derivative of -f**7/280 + 3*f**5/40 - f**4/4 - f**3/6 - 5*f**2. Let o(c) be the first derivative of x(c). Factor o(w).
-3*(w - 1)**2*(w + 2)
Suppose -5*b - 2*y = 3*y - 10, 3*y = -b. Suppose -11/3*z + 2/3 + b*z**2 = 0. What is z?
2/9, 1
Let z(b) be the third derivative of -9*b**7/140 - 3*b**6/40 - b**5/40 + 5*b**2. Find n such that z(n) = 0.
-1/3, 0
Determine g so that -44/9*g - 4/3 + 16/9*g**2 = 0.
-1/4, 3
Let n(i) = -6*i - 36. Let w be n(-6). Let u(g) be the third derivative of -1/84*g**4 + 1/420*g**6 - g**2 + w*g**5 + 0 + 0*g**3 + 0*g. Factor u(p).
2*p*(p - 1)*(p + 1)/7
Factor 0 + 0*g - 4/3*g**3 - 7/3*g**5 + 16/3*g**4 + 0*g**2.
-g**3*(g - 2)*(7*g - 2)/3
Let z be 3 + -3 - 2 - -2. Let c = z - -2. Factor -1/4 - 1/2*v - 1/4*v**c.
-(v + 1)**2/4
Let z(i) = -i**3 - 8*i**2 - 2*i - 4. Suppose -3*x = -4*y - 23, -4*x = -2*y - x - 7. Let f be z(y). Factor -3 - 11*o**3 - 2*o**2 + o + f*o**4 + 3.
o*(o - 1)*(3*o + 1)*(4*o - 1)
Let u(f) be the third derivative of 3*f**2 + 0*f - 1/6*f**4 + 0 - 1/30*f**5 - 1/3*f**3. Factor u(i).
-2*(i + 1)**2
Let b = 26 + -14. Suppose 0 = 4*v - v - b. Let 28*x**4 + 4*x + 8*x + 0 - 11*x**2 - 30*x**3 + 4 - 3*x**v = 0. Calculate x.
-2/5, 1
Suppose -8/7 - 43/7*l**2 + 1/7*l**5 + 30/7*l + 29/7*l**3 - 9/7*l**4 = 0. What is l?
1, 2, 4
Let c = -4/5 + 46/45. Solve 4/9*w + c + 2/9*w**2 = 0.
-1
Let u be (-70)/60 + 6/4. Let c(p) be the second derivative of u*p**2 + 3*p + 1/18*p**4 + 0 - 2/9*p**3. Factor c(h).
2*(h - 1)**2/3
Factor -58*v**4 - 4*v + 24*v**2 + 9*v**4 - 25*v**3 - 6*v**3 + 10*v**3.
-v*(v + 1)*(7*v - 2)**2
Let c(v) be the second derivative of -v**4/144 - 5*v**3/72 + 51*v. What is a in c(a) = 0?
-5, 0
Let v(o) = 25*o**4 + 66*o**3 + 14*o**2 + 6*o. Let w(k) = 150*k**4 + 395*k**3 + 85*k**2 + 35*k. Let j(d) = 35*v(d) - 6*w(d). Factor j(p).
-5*p**2*(p + 2)*(5*p + 2)
Suppose 0 = -7*c + 5*c. Let u(w) be the second derivative of 1/60*w**6 + 0*w**4 + 0 + c*w**2 - 1/40*w**5 + 0*w**3 - w. Suppose u(m) = 0. What is m?
0, 1
Let w(h) be the second derivative of -h**4/6 + h**2 + 7*h. Factor w(i).
-2*(i - 1)*(i + 1)
Suppose -5*b + 2*b - 2*z - 7 = 0, 0 = 4*b + z + 1. Factor -x**2 - 4*x + x + x - b.
-(x + 1)**2
Let n = 192 - 188. Factor -4/3*h**2 + 4/3*h**3 + 2/3 - 2/3*h - 2/3*h**5 + 2/3*h**n.
-2*(h - 1)**3*(h + 1)**2/3
Let j(h) be the second derivative of h**5/80 + 5*h**4/48 + h**3/8 - 9*h**2/8 - 3*h. Solve j(d) = 0 for d.
-3, 1
Let k(u) be the second derivative of -1/10*u**5 + 7/18*u**4 + u + 0*u**3 - 4/3*u**2 + 0. Factor k(s).
-2*(s - 2)*(s - 1)*(3*s + 2)/3
Factor 12/7*v**2 + 4/7*v**4 - 16/7*v**3 + 0*v + 0.
4*v**2*(v - 3)*(v - 1)/7
Let c(b) be the first derivative of b**5/240 - b**4/48 + b**3/24 + b**2 - 2. Let y(g) be the second derivative of c(g). Let y(w) = 0. Calculate w.
1
Let x(p) = -p**2 + 9*p - 8. Let o be x(8). Find y, given that 6*y - 10*y**2 - 12*y + 8 - 10*y + o = 0.
-2, 2/5
Let g be 1/21 - (-4 - (-4)/1). Let t(u) be the second derivative of 0*u**3 + 2*u + 0 - 3/70*u**5 - g*u**4 - 1/105*u**6 + 0*u**2. Factor t(j).
-2*j**2*(j + 1)*(j + 2)/7
Let g(r) be the third derivative of -r**5/450 + r**4/45 - r**3/15 - 3*r**2. Factor g(k).
-2*(k - 3)*(k - 1)/15
Let v = -175 + 1051/6. Factor 0*x**2 + v*x**5 + 0*x**4 + 0 - 1/3*x**3 + 1/6*x.
x*(x - 1)**2*(x + 1)**2/6
Let v(y) = -y**3 + 2*y**2 + 20*y - 48. Let u be v(4). Factor -1/5*c**2 + u*c + 1/5.
-(c - 1)*(c + 1)/5
Let s(y) = -22*y**5 + 24*y**3 + 2*y**2 - 4*y. Let c(k) = -43*k**5 + k**4 + 47*k**3 + 4*k**2 - 9*k. Let z(n) = 2*c(n) - 5*s(n). Determine d, given that z(d) = 0.
-1, -1/3, 0, 1/4, 1
Let u(r) be the third derivative of -r**7/420 + r**5/120 - 7*r**2. Factor u(h).
-h**2*(h - 1)*(h + 1)/2
Let j(c) be the third derivative of -3/32*c**4 + 0 + 0*c**3 + 0*c - 8*c**2 - 1/480*c**6 + 1/40*c**5. Factor j(w).
-w*(w - 3)**2/4
Suppose -j + 2 = z - 2*j, 4 = -4*z + j. Let l be (11 - 1) + -4 + z. Suppose 10/3*t - 2/3*t**3 + 4/3 - 2/3*t**l + 2*t**2 = 0. What is t?
-1, 2
Let p(r) be the third derivative of -r**7/70 - 3*r**6/40 - 3*r**5/20 - r**4/8 + 4*r**2. Factor p(h).
-3*h*(h + 1)**3
Let t = 7 - 3. Suppose 28 + 3*z**3 - z**t - z**3 - 28 = 0. Calculate z.
0, 2
Let z(k) = 3*k**2 - 5*k**3 + 8*k**3 + 5*k - 5*k**2. Let r(u) = u**2 + u. Let h(g) = 6*r(g) - 2*z(g). Factor h(a).
-2*a*(a - 1)*(3*a - 2)
Let t(i) be the second derivative of -i**4/120 + i**3/15 - 3*i**2/20 + 2*i - 15. Find w such that t(w) = 0.
1, 3
Suppose 8*d = -4 + 28. Let 1/4*g**4 - 3/4*g**d + 0 - 1/4*g + 3/4*g**2 = 0. Calculate g.
0, 1
Let v(w) = -2*w**3 - 2*w + w**2 + 3*w**3 + 0*w**2 + w + 1. Let f(y) = -10*y**3 - 12*y**2 + 10*y - 4. Let a(p) = f(p) + 8*v(p). Solve a(h) = 0 for h.
-2, -1, 1
Let n(z) be the second derivative of 1/180*z**6 - 2*z + 0*z**2 + 0 + 1/12*z**4 - 1/2*z**3 + 1/30*z**5. Let m(b) be the second derivative of n(b). Factor m(h).
2*(h + 1)**2
Let p(d) be the third derivative of -d**5/45 - d**4/18 + 4*d**3/9 + 3*d**2. What is f in p(f) = 0?
-2, 1
Suppose 5*n = -3 + 18. Let 2/9*a**n + 4/9 + 0*a**2 - 2/3*a = 0. What is a?
-2, 1
Suppose 0 - 4/3*o - 2/3*o**2 + 4/3*o**3 + 2/3*o**4 = 0. Calculate o.
-2, -1, 0, 1
Suppose 3*g = -2*g + 5. Let k = g - 1. Solve 2*j**4 - 3*j**3 + 2*j**5 + k*j**3 - 2*j**2 + j**3 = 0.
-1, 0, 1
Let i be 207/99 - 5*(-5)/(-275). Find b such that 16/5*b + 32/5 + 2/5*b**i = 0.
-4
Let 0 - 2*p**3 + 4/3*p**2 + 2/3*p = 0. What is p?
-1/3, 0, 1
Suppose -o = -8*o. Factor o + 2/3*r - 1/3*r**2.
-r*(r - 2)/3
Let q(o) be the third derivative of -o**6/210 - o**5/105 + o**4/42 + 2*o**3/21 + 15*o**2. Factor q(y).
-4*(y - 1)*(y + 1)**2/7
Let i(y) be the second derivative of -y**7/35 - y**6/12 - y**5/15 + 2*y**2 + 6*y. Let l(z) be the first derivative of i(z). Solve l(g) = 0.
-1, -2/3, 0
Let a(d) be the second derivative of 7*d**5/100 - d**4/5 + d**3/10 + d**2/5 - 4*d. Factor a(q).
(q - 1)**2*(7*q + 2)/5
Let l = -5/77 - -27/77. What is x in -10/7*x**2 - 8/7 + 16/7*x + l*x**3 = 0?
1, 2
Let h(n) be the first derivative of 94/3*n**3 + 54/5*n**5 - 4*n**2 + 1 - 33*n**4 - 8*n. Find f, given that h(f) = 0.
-2/9, 2/3, 1
Let j be 2 - -1 - (10 + -22). Suppose 3*d - 5*p + 19 = 0, -j = 3*p - 6*p. Find v such that -3/2 + 3/2*v**d + 3/2*v**3 - 3/2*v = 0.
-1, 1
Let x(z) be the second derivative of -z**6/360 - z**5/480 + 7*z**3/6 - 7*z. Let c(d) be the second derivative of x(d). Factor c(r).
-r*(4*r + 1)/4
Let g(a) be the first derivative of a**3/15 - a**2/10 - 8. Factor g(d).
d*(d - 1)/5
Let s(v) be the first derivative of -v**5/5 + 4. Let s(w) = 0. What is w?
0
Let s be 84/(-8) + (-1)/4. Let n = s - -137/12. Solve -2/3*b**4 + 0*b + 0 + n*b**2 + 0*b**3 = 0.
-1, 0, 1
Let o(i) = i**3 + 9*i - 6. Let f(n) = -9*n**3 - n**2 - 73*n + 49. Let v(l) = -6*f(l) - 51*o(l). Factor v(d).
3*(d - 1)**2*(d + 4)
Let w(i) be the third derivative of i**9/181440 + i**8/60480 + 3*i**5/20 - 9*i**2. Let k(a) be the third derivative of w(a). Find u such that k(u) = 0.
-1, 0
Let g(z) be the first derivative of -z**5/70 - z**4/21 - z**3/21 + 2