0 + m**6/120 - 13*m**3/6 - 7*m. Let k(x) be the second derivative of v(x). Solve k(y) = 0.
-1, 0, 1
Suppose 2*g = -0*g + 4*f - 4, -5*g - 4*f + 18 = 0. Determine l, given that 0 - 4/11*l + 2/11*l**g = 0.
0, 2
Let t(f) be the first derivative of f - 57. Let b(w) = -11 - 3*w**2 - 1 + 3 + 6*w. Let p(q) = b(q) + 18*t(q). Determine r, given that p(r) = 0.
-1, 3
Let z = 1931/12 + -482/3. Solve f + f**3 - z*f**4 - 1/4 - 3/2*f**2 = 0.
1
Let m(d) = -66*d - 6. Let l be m(-5). Suppose b + 3*v = 81, v + l = 4*b + 2*v. Factor 78 - b - 3*a**3 - 9*a - 11*a**2 + 2*a**2.
-3*(a + 1)**3
Let l be (14/(-100))/(1 - 18/10). Let f = l + 5/8. Suppose f*c**2 + 0 - 2/5*c**3 + 0*c - 2/5*c**4 = 0. Calculate c.
-2, 0, 1
Let h(w) = w**3 + 14*w**2 + 13*w + 4. Suppose 9*u + 26 = 7*u. Let o be h(u). Let 21*b**5 - o*b**4 + 0*b**4 - 19*b**5 + 2*b**3 = 0. Calculate b.
0, 1
Let t = -5661/55 - -250/11. Let r = t + 2942/35. Factor -39/7*z - 72/7*z**2 - r*z**3 - 6/7.
-3*(z + 2)*(3*z + 1)**2/7
Let c = 2222 + -2222. Factor -3/5*x**5 + 0*x**2 + 0 + 3/5*x**3 + 0*x + c*x**4.
-3*x**3*(x - 1)*(x + 1)/5
Let w(s) = -s**3 - 19*s**2 - 20*s - 36. Let g be w(-18). Let o = 5 + -3. Solve g + 16*y**o - 1 + 1 + 12*y**3 + 4*y = 0.
-1, -1/3, 0
Let i be 24 + -20 + 660/(-210). Let 66/7*w**2 - 18/7*w**4 + 24/7 - 72/7*w + i*w**5 - 6/7*w**3 = 0. What is w?
-2, 1, 2
Let p(b) be the second derivative of -b**7/420 - b**6/60 - b**5/30 - b**3 + 5*b. Let i(g) be the second derivative of p(g). Solve i(j) = 0.
-2, -1, 0
Let b(f) be the third derivative of 1/20*f**5 + 1/2*f**4 + 0 - 1/10*f**6 - 10*f**2 - 1/2*f**3 + 0*f. Factor b(n).
-3*(n - 1)*(n + 1)*(4*n - 1)
Let d(k) be the third derivative of k**9/24192 + k**8/8064 - k**7/1008 - k**5/5 + 5*k**2. Let t(o) be the third derivative of d(o). What is r in t(r) = 0?
-2, 0, 1
Let o = -888 + 891. Let t(p) be the second derivative of 1/6*p**4 - 5*p + p**2 - 2/3*p**o + 0. Solve t(c) = 0 for c.
1
Let c(x) be the second derivative of -x + 0*x**3 + 1/50*x**5 + 0 + 4/5*x**2 - 1/10*x**4. Determine n so that c(n) = 0.
-1, 2
Let y(g) = -11*g**5 - 11*g**4 - 4*g**3 + 5*g**2. Let o(i) = -43*i**5 - 45*i**4 - 16*i**3 + 19*i**2. Let f(n) = -3*o(n) + 11*y(n). Suppose f(v) = 0. Calculate v.
-1, 0, 1/4
Let j(x) be the third derivative of -1/30*x**5 + 4/3*x**3 + 0*x + 0 + 6*x**2 + 1/4*x**4. Factor j(f).
-2*(f - 4)*(f + 1)
Let j(y) be the second derivative of -2*y**7/147 + 8*y**6/21 - 19*y**5/5 + 338*y**4/21 - 704*y**3/21 + 256*y**2/7 + 2*y + 11. What is n in j(n) = 0?
1, 2, 8
Suppose -14 = -4*j + 3*u, -5*j = 5*u - u - 2. Let l(v) be the first derivative of 1/2*v**5 + 1/6*v**3 + 1/2*v**j - 4 - v**4 + 0*v. Find z, given that l(z) = 0.
-2/5, 0, 1
Suppose n + 6 = -3*f, -5*n - 2*f - 2*f + 3 = 0. Suppose 4*w - 5*d + n*d + 10 = 0, 0 = -3*d + 15. Factor 3/5*h + w + 3/5*h**2.
3*h*(h + 1)/5
Factor -38/5*r + 4 + 16/5*r**2 + 2/5*r**3.
2*(r - 1)**2*(r + 10)/5
Suppose 0 = 3*t - 2*t - 48. Factor 45 + 102*m - 101*m**2 + 20*m**3 - 48*m**2 + t*m + 34*m**2.
5*(m - 3)**2*(4*m + 1)
Factor 2*z**2 + 48/11 - 100/11*z.
2*(z - 4)*(11*z - 6)/11
Let u(h) be the first derivative of 2*h**4 - 10*h**3/3 - h**2/2 + 3*h - 167. Determine c so that u(c) = 0.
-1/2, 3/4, 1
Let i(b) be the first derivative of -3 + 3/28*b**4 - 12/7*b + 1/7*b**3 - 6/7*b**2. Suppose i(d) = 0. What is d?
-2, -1, 2
Let r(h) be the third derivative of h**9/120960 - h**7/10080 - h**5/10 + 12*h**2. Let f(g) be the third derivative of r(g). Factor f(k).
k*(k - 1)*(k + 1)/2
Determine r so that 6/5*r**3 - 24/5 - 1/10*r**4 - 51/10*r**2 + 44/5*r = 0.
1, 3, 4
Suppose 122*k + 175 = 157*k. Factor 0 + 26/7*w**3 + 8/7*w + 24/7*w**2 + 2/7*w**k + 12/7*w**4.
2*w*(w + 1)**2*(w + 2)**2/7
Let o = 14185 + -99293/7. Suppose o*z**2 + 6/7*z**4 - 2/7*z**5 - 6/7*z**3 + 0 + 0*z = 0. What is z?
0, 1
Factor 3/2 - 123/4*u**2 + 75/4*u + 21/2*u**3.
3*(u - 2)*(u - 1)*(14*u + 1)/4
Let m(w) be the first derivative of 2*w**6/15 + 16*w**5/25 + 3*w**4/5 - 16*w**3/15 - 8*w**2/5 - 376. Suppose m(c) = 0. What is c?
-2, -1, 0, 1
Let w(u) be the third derivative of 13/28*u**4 + 0 - 1/70*u**5 + 0*u**3 + 0*u + 10*u**2. Let w(s) = 0. What is s?
0, 13
Let x(r) = -r**2 - r + 1. Let b(y) = -3*y**2 - 9*y. Let a(t) = -b(t) + 4*x(t). Let u be a(5). Factor 2*l**2 + 5*l**5 - 3*l**3 - 3*l**4 - u*l**4 + 4*l**3 - l**4.
l**2*(l - 1)**2*(5*l + 2)
Let z(l) = l**2 + 2. Let m(n) = 4*n**2 + n + 12. Let v(b) = m(b) - 5*z(b). Factor v(d).
-(d - 2)*(d + 1)
Let m(t) = t**2 + t - 2. Let l be m(-3). Let f be -3 - (-15 - 12/l). Determine q, given that -2*q**5 + 40 - f*q**4 - 15*q - q**5 - 30*q**2 - 30*q**3 - 43 = 0.
-1
Let y(l) be the second derivative of -1/15*l**6 + 9*l + 1/12*l**3 + 0 + 1/84*l**7 + 0*l**2 + 3/20*l**5 - 1/6*l**4. Factor y(r).
r*(r - 1)**4/2
Let m(c) = -c**3 + 4*c**2 - 2*c. Let f be m(3). Let g = f - -16. Factor -3*o**2 + 2 + 5*o - g*o**3 + 14*o**3 + o**2.
-(o - 1)*(o + 1)*(5*o + 2)
Let y(h) be the second derivative of h**8/168 + h**2/2 + 16*h. Let g(n) be the first derivative of y(n). Factor g(z).
2*z**5
Suppose 11*b**4 - 25*b**3 + 5*b**2 - 4*b**4 - 22*b**4 + 10*b**2 + 5*b**5 + 20*b = 0. What is b?
-1, 0, 1, 4
Let g(t) be the third derivative of 4913*t**8/1680 + 289*t**7/175 + 17*t**6/50 + 2*t**5/75 + t**2 - 25. What is m in g(m) = 0?
-2/17, 0
Let i(y) be the first derivative of 8*y**5/9 - 26*y**4/9 + 98*y**3/27 - 20*y**2/9 + 2*y/3 - 28. Find c such that i(c) = 0.
1/2, 3/5, 1
Let p be 1 + 1 - (-2 + 1). Let y be (6/(-3))/((-27)/(-9)) - -2. Suppose -8/3*a**4 + y*a + 0 + 20/3*a**p - 16/3*a**2 = 0. Calculate a.
0, 1/2, 1
Let o(n) be the first derivative of n**4/10 + 58*n**3/15 + 28*n**2/5 - 554. Suppose o(a) = 0. Calculate a.
-28, -1, 0
Let c(x) be the second derivative of x**4/4 - 53*x**3/2 + 78*x**2 + 146*x - 3. Find a such that c(a) = 0.
1, 52
Suppose 16*j + 7*j + 6*j = 11*j. Suppose 1/6 + 1/2*n + j*n**2 - 2/3*n**3 = 0. Calculate n.
-1/2, 1
Let w(f) be the third derivative of -32*f**2 + 0*f + 0 - 1/12*f**5 - 25/6*f**3 - 5/4*f**4. Factor w(j).
-5*(j + 1)*(j + 5)
Let l be (-2 - (-4)/6)*(-588)/(-48). Let c = l + 33/2. Determine v so that c*v**2 - 1/6*v**4 + 0 + 1/6*v - 1/6*v**3 = 0.
-1, 0, 1
Suppose 11 = 94*o + 11. Let r(q) be the second derivative of -2/3*q**2 - 5/36*q**4 + 3*q - 1/60*q**5 + o - 4/9*q**3. Factor r(s).
-(s + 1)*(s + 2)**2/3
Let s = 2984 - 2984. Factor s + 12/5*b**2 - 4/5*b**3 - 9/5*b.
-b*(2*b - 3)**2/5
Let t = 2055 - 2053. Let o be (18/(-10) - -2) + 1. Factor 14/5*a**2 + 2/5 + t*a + o*a**3.
2*(a + 1)**2*(3*a + 1)/5
Suppose 0 = 2*j - 2*x - 20, 279*j - 282*j - 3*x = 0. Solve 6/5*m**4 - 4/5*m**2 - 6/5*m + 4/5*m**3 + 2/5*m**j - 2/5 = 0 for m.
-1, 1
Let y = -25 + 16. Let x(o) = -o**2 - 11*o - 16. Let d be x(y). Solve 0 + 0*p**3 + 2/7*p**4 + 0*p**d + 0*p = 0.
0
Suppose -6 = 4*c + 2*y - 0, -c - 4*y = 12. Factor -6*x**4 + 6*x**2 + 4*x**3 + c*x**3 - 18*x + 0*x**2 + 14*x.
-2*x*(x - 1)*(x + 1)*(3*x - 2)
Let i(g) be the second derivative of 1/48*g**3 - 11*g + 0*g**2 + 0*g**4 + 1 - 1/160*g**5. Factor i(w).
-w*(w - 1)*(w + 1)/8
Let u be (11 + -2)*(2 + (-2)/6). Factor -u*y**4 - 12*y**4 - 11*y**4 + 33*y**4 + 5*y**3.
-5*y**3*(y - 1)
Let l(t) be the second derivative of -t**9/40320 - 3*t**8/17920 - t**7/3360 - t**4/6 + 9*t. Let p(a) be the third derivative of l(a). Factor p(y).
-3*y**2*(y + 1)*(y + 2)/8
Suppose 150*y - 147*y - 18 = q, 3*q + y = 16. Factor -4/3*k - 20/3 - 2/3*k**q - 1/3*k**4 + 5*k**2.
-(k - 2)**2*(k + 1)*(k + 5)/3
Let a be -4699 + ((-3)/9)/(2/(-12)). Let j = a + 51721/11. Determine r, given that -j - 18/11*r**2 + 54/11*r + 2/11*r**3 = 0.
3
Let z be 1 + 0 + (-7)/(-7). Let q(r) = r**3 + 7*r**2 + 9*r + 5. Let t(d) = 4*d**3 + 34*d**2 + 45*d + 26. Let g(u) = z*t(u) - 11*q(u). Factor g(x).
-3*(x + 1)**3
Let t = 32/635 + 539/1905. Let w**2 - t + 2/3*w**4 + 5/3*w**3 - 1/3*w = 0. Calculate w.
-1, 1/2
Let v be 8/(96/18)*4/36. Let p(w) be the second derivative of v*w**5 + 0 - 1/90*w**6 - 11/12*w**4 + 20/9*w**3 - 8/3*w**2 + 3*w. Factor p(m).
-(m - 4)**2*(m - 1)**2/3
Factor -15 + 76*l**2 - 46*l**2 - 66*l**2 - 6*l**3 - 42*l + 3*l**4.
3*(l - 5)*(l + 1)**3
Suppose w - 4*s - 4 - 2 = 0, 6 = 5*w + 4*s. Factor -3*j**3 + 34*j**2 - w*j**3 - 14*j**2 - 15*j.
-5*j*(j - 3)*(j - 1)
Let o(q) = -q**5 - 2*q**4 + q**3 + q**2 - 1. Let y(g) = 5*g**5 + 17*g**4 - 12*g**3 - 76*g**2 + 16*g + 148. Let x(f) = -4*o(f) - y(