mine h so that n(h) = 0.
-3, -1
Let x be (4/(-3))/(4/(-6)). Let c be x - (80/6)/(-5). Factor 4/3*m**3 + 0*m**2 + 0 + 10/3*m**5 + 0*m - c*m**4.
2*m**3*(m - 1)*(5*m - 2)/3
Suppose -4*h = -4*p, 0*p + 2*h = -5*p. Let u(q) be the third derivative of p + 0*q - 1/30*q**5 - 1/120*q**6 + 0*q**3 + q**2 - 1/24*q**4. Factor u(o).
-o*(o + 1)**2
Let x(n) be the third derivative of -5*n**2 + 0 - 1/480*n**6 + 1/2688*n**8 + 0*n**5 + 0*n**3 - 1/1680*n**7 + 0*n**4 + 0*n. Let x(p) = 0. What is p?
-1, 0, 2
Let z be 4/(-22) - (-68)/11. Suppose l = -3*h - z, h - 1 = 3*l - 3. Factor -q**2 + l*q**2 + q**3 + 2*q**2.
q**2*(q + 1)
Let v(u) be the second derivative of 5*u**4/12 - 5*u**3/6 - 5*u**2 + 8*u. Factor v(k).
5*(k - 2)*(k + 1)
Let b(p) = p - 6. Let d be b(10). Let f = 6 - 3. Factor 16*k**2 + 7 - 14*k - d*k**3 - 2*k**f - 3.
-2*(k - 1)**2*(3*k - 2)
Let c = -24 + 27. Find w such that -44*w + 42*w + 4*w**2 - 3*w**c + w**3 = 0.
0, 1
Suppose 0 = 6*c - 2 - 28. Let a(i) be the third derivative of 0*i**3 + 0*i + 1/180*i**c + 0 + 3*i**2 - 1/72*i**4. Factor a(v).
v*(v - 1)/3
Let r(o) be the second derivative of 2*o + 0 - 1/21*o**6 + 0*o**2 - 1/42*o**4 + 4/35*o**5 - 2/21*o**3. Factor r(v).
-2*v*(v - 1)**2*(5*v + 2)/7
Let o be 60/(-15) - (0 + -9). Let t(p) be the third derivative of 0*p - 1/8*p**4 + 1/60*p**o + 2*p**2 + 1/3*p**3 + 0. Factor t(r).
(r - 2)*(r - 1)
Let c(b) be the third derivative of 1/55*b**5 + 1/1155*b**7 - 1/33*b**4 + 0*b + 1/33*b**3 - 1/165*b**6 + 0 + 4*b**2. Factor c(f).
2*(f - 1)**4/11
Let p be 16/6 - 4/6. Find b such that -2*b**3 + 6*b + 6*b**3 + 6*b**p + 1 + b**4 - b - b = 0.
-1
Let t(c) be the third derivative of c**6/32 + 7*c**5/80 + c**4/16 + 22*c**2. Factor t(k).
3*k*(k + 1)*(5*k + 2)/4
Let a(p) be the first derivative of p**4/10 + 4*p**3/15 - p**2/5 - 4*p/5 + 12. Factor a(k).
2*(k - 1)*(k + 1)*(k + 2)/5
Suppose 0 = -9*f + 8*f + 13. Let g be 0 + -1 - f/(-11). Factor 0 + 2/11*u**2 - g*u.
2*u*(u - 1)/11
Determine h, given that 1/3*h**2 + 8/3*h + 16/3 = 0.
-4
Let q(d) be the first derivative of -3*d**4/28 - 6*d**3/7 - 27*d**2/14 - 8. Let q(v) = 0. What is v?
-3, 0
Let s be 4/18 - (-32)/18. Determine f, given that f**3 - 4*f**4 - 2*f + 8*f**3 - 5*f**s + 2*f**3 = 0.
-1/4, 0, 1, 2
Let y(d) be the second derivative of 0*d**4 - 1/360*d**5 + 0 - 1/3*d**3 + 0*d**2 - 2*d - 1/1080*d**6. Let o(k) be the second derivative of y(k). Factor o(v).
-v*(v + 1)/3
Factor -15/7*v**4 + 0*v + 0*v**2 + 0 + 3/7*v**5 + 0*v**3.
3*v**4*(v - 5)/7
Let q(g) be the first derivative of -g**6/9 - 2*g**5/15 + 5*g**4/6 - 2*g**3/3 + 30. Solve q(o) = 0.
-3, 0, 1
Let l be (-752)/210 + 4 + -1. Let z = 3/35 - l. Let 2/3*d**3 + 0 - z*d**2 + 2/3*d**4 - 2/3*d = 0. What is d?
-1, 0, 1
Let y be 3*49/21 - 7. Factor 9/4*v**2 + y*v - 1/4.
(3*v - 1)*(3*v + 1)/4
Suppose 6*h - 9 = 2*h + p, -2*h + p + 3 = 0. Determine c so that -4*c**3 + c**5 + 4*c**3 - c**h = 0.
-1, 0, 1
Let g(j) be the first derivative of -j**4/10 + 3*j**2/5 + 4*j/5 - 19. Solve g(u) = 0.
-1, 2
Let v(i) be the first derivative of i**6/6 - 3*i**5/5 + 4*i**3/3 + 5. What is f in v(f) = 0?
-1, 0, 2
Let r(f) be the third derivative of f**9/30240 + f**8/8064 + f**7/10080 - f**5/60 - 3*f**2. Let m(s) be the third derivative of r(s). Factor m(k).
k*(k + 1)*(4*k + 1)/2
Let d be 132/351 - 4/26. Let -4/9*i - 2/9 - d*i**2 = 0. Calculate i.
-1
Let o = -251 + 503/2. Suppose -v = 3*g - 5, -10 = 5*v + 10. Determine h so that -1/2*h**5 + h**2 - o*h**4 - 1/2 - 1/2*h + h**g = 0.
-1, 1
Let n(q) be the first derivative of q**8/1680 - q**7/525 + q**6/600 - 3*q**2/2 - 2. Let v(z) be the second derivative of n(z). Suppose v(x) = 0. What is x?
0, 1
Let s(d) = 19*d - 147. Let r be s(8). Factor 0 - 1/2*b + 0*b**4 + b**3 - 1/2*b**r + 0*b**2.
-b*(b - 1)**2*(b + 1)**2/2
Let v(i) be the second derivative of i**5/30 - i**4/18 - 5*i**3/9 - i**2 + 16*i. Factor v(d).
2*(d - 3)*(d + 1)**2/3
Suppose -8*h = -3*h - 70. Let m = h - 40/3. Determine p, given that -m*p**2 + 0 + 0*p = 0.
0
Let c(n) be the third derivative of n**6/180 + n**5/18 + n**4/12 - n**3 - 36*n**2. Let c(u) = 0. Calculate u.
-3, 1
Let o be 4/18 + (-112)/(-63). Let w = 8 - 8. Factor -1/3*a - 1/3*a**o + w.
-a*(a + 1)/3
Let h(b) = -1. Let m(x) = -x + 1. Let r be m(0). Let n(q) = 2*q**2 - 2*q + 4. Let o(j) = r*n(j) + 4*h(j). Factor o(k).
2*k*(k - 1)
Let v = 10237/1536 - -1/512. Factor 50/3*m**2 + v*m + 2/3.
2*(5*m + 1)**2/3
Let s(n) be the first derivative of -n**5/240 + 5*n**4/192 - n**3/24 - 4*n**2 + 9. Let u(h) be the second derivative of s(h). Factor u(z).
-(z - 2)*(2*z - 1)/8
Let k(a) be the second derivative of -a**4/24 + a**3/12 + a**2/2 + 5*a. Suppose k(o) = 0. Calculate o.
-1, 2
Suppose 0 = -2*y + 3*j + 13 + 2, 0 = -4*j - 20. Suppose w = -2*t + 11, 3*w + y*w = 9. Suppose 2*l**4 + 1 - 3 + t*l**3 + 0*l**4 - 4*l = 0. What is l?
-1, 1
Let n = 137/455 - 1/65. Suppose 0 + 2/7*w + 2/7*w**2 - 2/7*w**3 - n*w**4 = 0. Calculate w.
-1, 0, 1
Let i = -9 - -9. Let d(y) be the second derivative of 0*y**6 + 1/147*y**7 + 0*y**2 - y - 1/70*y**5 + 0 + i*y**4 + 0*y**3. Determine n so that d(n) = 0.
-1, 0, 1
Let u(c) = c**3 - 4*c**2 - 4*c - 3. Let p be u(5). Factor -3/2*t**p + 6*t - 6.
-3*(t - 2)**2/2
Let v(s) = 8*s**2 - 13*s - 5. Let f(x) = 4*x**2 - 7*x - 3. Let p(d) = -5*f(d) + 3*v(d). What is u in p(u) = 0?
0, 1
Factor -s**3 - 15*s - 26*s**2 - 9 + 4*s**3 + 23*s**2.
3*(s - 3)*(s + 1)**2
Let a = 16 - 9. Let z(f) = f - 5. Let m be z(a). Determine x so that 5*x - m - 2*x**2 - x + 0*x**2 = 0.
1
Let r = 287/213 - 1/71. Let z be ((-8)/(-6))/(1/(1/2)). Factor -2/3*y**3 - r*y**2 - z*y + 0.
-2*y*(y + 1)**2/3
Suppose 5 + 5 = 5*r. Suppose -m + 4 = r. Factor w - 5/3*w**m + 2/3.
-(w - 1)*(5*w + 2)/3
Let x(t) be the second derivative of 0 + 3/14*t**2 - 1/7*t**3 + 1/28*t**4 - 4*t. Factor x(l).
3*(l - 1)**2/7
Let u(l) be the second derivative of -l**6/120 + l**5/15 - l**4/6 - l**2/2 + 6*l. Let h(o) be the first derivative of u(o). Find m, given that h(m) = 0.
0, 2
Let t(c) = 15*c**5 + 85*c**4 + 55*c**3 - 85*c**2 - 70*c. Let o(d) = -d**5 - 6*d**4 - 4*d**3 + 6*d**2 + 5*d. Let v(p) = 85*o(p) + 6*t(p). Factor v(l).
5*l*(l - 1)**2*(l + 1)**2
Let z(h) be the third derivative of 3*h**7/14 + h**6/2 - 8*h**5/3 - 10*h**4 - 40*h**3/3 - 7*h**2. Factor z(g).
5*(g - 2)*(g + 2)*(3*g + 2)**2
Let b(l) be the second derivative of l**5/4 - l**4/24 - l**3/3 - l**2 - 2*l. Let c(h) be the first derivative of b(h). Find y, given that c(y) = 0.
-1/3, 2/5
Suppose 2*c - 20 = 4*q, -c = -0*q + 3*q + 5. Suppose a - c*d - 8 = -3*d, -3*a = 4*d + 11. Let 1/2*n**a - n**2 + 0 + 1/2*n = 0. Calculate n.
0, 1
Let x(i) be the first derivative of -6*i**5/55 - i**4/2 - 4*i**3/11 - 43. Factor x(h).
-2*h**2*(h + 3)*(3*h + 2)/11
Let g(q) be the first derivative of q**5/80 - q**4/16 + q**3/8 + q**2 + 4. Let w(s) be the second derivative of g(s). Factor w(z).
3*(z - 1)**2/4
Suppose 0 + 1/5*y**4 - y**2 + 2/5*y + 3/5*y**3 - 1/5*y**5 = 0. Calculate y.
-2, 0, 1
Let c be 4/(-6) - (-10)/15. Determine w, given that 2/5*w**3 + 1/5*w**4 + 0 + c*w + 1/5*w**2 = 0.
-1, 0
Let j = -1 + 1. Suppose 0*m**2 - 8*m + j*m**2 + 5*m**2 - m**2 = 0. What is m?
0, 2
Suppose 32*r**3 - 48/7*r**2 + 84*r**4 - 16/7*r + 0 - 49*r**5 = 0. What is r?
-2/7, 0, 2/7, 2
Let n(s) be the first derivative of -s**6/3 + 2*s**5/5 + 5*s**4 + 16*s**3/3 - 21. Determine b so that n(b) = 0.
-2, -1, 0, 4
Let b be 0 - -3 - (-12 + 9). Solve -5 + 2*i**3 + 0*i**3 - 6*i**2 + 0 + b*i + 3 = 0.
1
Let f be ((-3)/(-144))/(3/6). Let j(z) be the second derivative of 0 - 1/80*z**5 - z - f*z**3 + 0*z**2 - 1/24*z**4. Factor j(v).
-v*(v + 1)**2/4
Let b(w) be the first derivative of -w**5 + 5*w**4/4 + 5*w**3/3 - 5*w**2/2 + 2. Solve b(j) = 0 for j.
-1, 0, 1
Let i(w) be the second derivative of -2*w**4/3 - 13*w**3/3 - 3*w**2 - 4*w. Factor i(p).
-2*(p + 3)*(4*p + 1)
Let l(s) be the first derivative of 1/2*s**2 + 3/4*s**4 + 1/5*s**5 - 2 + s**3 + 0*s. Determine w, given that l(w) = 0.
-1, 0
Let z(d) = 3*d**2 - 8*d - 6. Let b be 2/3*(-9 + 0). Let m(y) = -y**2 + y + 1. Let i(a) = b*m(a) - z(a). Let i(c) = 0. What is c?
-2/3, 0
Factor 238*t**3 + 2*t**4 + 8*t**2 - 5 - 499*t**3 - 5 + 249*t**3 + 12*t.
2*(t - 5)*(t - 1)**2*(t + 1)
Factor -7/5*b**4 - b**2 - 9/5*b**3 - 2/5*b**5 - 1/5*b + 0.
-b*(b + 1)**3*(2*b + 1)/5
Let i = -4 + 4. Let s be (1 + i)*(8 - 5). 