r i.
-2, -1
Let k(l) be the first derivative of 1/21*l**3 - l - 1/70*l**5 + 0*l**2 + 1 + 0*l**4. Let s(v) be the first derivative of k(v). Let s(h) = 0. Calculate h.
-1, 0, 1
Suppose -379*u + 376*u = 0. Factor 1/7*j**4 + 1/7 + u*j**3 - 2/7*j**2 + 0*j.
(j - 1)**2*(j + 1)**2/7
Let r(u) = -4*u**3 - 1. Let s be r(-1). Suppose -z = -3*b + 9, z + 11 = 4*b - 0*z. Factor -g**3 + g**3 - b*g + 2*g**s.
2*g*(g - 1)*(g + 1)
Let w(i) be the first derivative of 4*i**3/3 - 6*i**2 + 8*i + 12. Suppose w(l) = 0. Calculate l.
1, 2
Let i = 2 + -22. Let g = i - -22. Factor b**g + 0*b - 9/2*b**3 + 0 - 5/2*b**5 + 6*b**4.
-b**2*(b - 1)**2*(5*b - 2)/2
Factor -48/5*x - 36/5 - 13/5*x**2 - 1/5*x**3.
-(x + 1)*(x + 6)**2/5
Let g be ((9/12)/(-3))/((-7)/56). Factor 0 - 3/5*b + 0*b**g + 3/5*b**3.
3*b*(b - 1)*(b + 1)/5
Let t = -5 - -10. Let i be -3 + 22/t + -1. Solve 0*k + 0 + i*k**4 + 0*k**3 - 2/5*k**5 + 0*k**2 = 0.
0, 1
Let f(o) be the third derivative of -o**7/42 - 5*o**6/12 - 11*o**5/4 - 25*o**4/3 - 40*o**3/3 - 19*o**2. Suppose f(h) = 0. Calculate h.
-4, -1
Let f(i) = -4*i - 7. Let p(d) = 3*d + 7. Let m(u) = -5*f(u) - 6*p(u). Let y be m(5). Solve 0*v**2 + 3*v**y + v + 2*v**2 - 2*v**3 = 0.
-1, 0
Let v(a) be the second derivative of 9*a + 3/10*a**3 - 1/5*a**4 + 0 - 1/5*a**2 + 1/25*a**5. Determine o, given that v(o) = 0.
1/2, 2
Determine u, given that -2*u**4 - 21*u + 6 + 36*u**2 - 15*u**3 - 9*u**2 + 4*u**4 + u**4 = 0.
1, 2
Find d, given that -7/2*d**2 + 1/2*d + 0 = 0.
0, 1/7
Let f(b) = -b**3 - 17*b**2 - 11*b + 8. Let p(h) = h**3 + 9*h**2 + 6*h - 4. Let u(v) = -2*f(v) - 5*p(v). Determine a, given that u(a) = 0.
-2, 1/3
Let u(b) be the third derivative of -b**5/180 - b**4/9 - 7*b**3/18 + 13*b**2. Suppose u(v) = 0. What is v?
-7, -1
Let m(g) be the second derivative of 0 - 1/10*g**5 - 1/6*g**4 + 0*g**2 + 1/3*g**3 + 4*g + 1/15*g**6. Let m(b) = 0. Calculate b.
-1, 0, 1
Let v(h) be the second derivative of -h**8/1680 - h**7/280 + 2*h**3/3 + 4*h. Let b(s) be the second derivative of v(s). Factor b(m).
-m**3*(m + 3)
Let -2/9*n**2 + 2/9*n + 0 = 0. Calculate n.
0, 1
Let a(h) = -h**3 + h**2 - 45*h - 27. Let v(i) = 2*i**3 - 2*i**2 + 46*i + 26. Let s(n) = -6*a(n) - 5*v(n). Factor s(k).
-4*(k - 4)*(k + 1)*(k + 2)
Let c be (-18)/(-5) + 2/5. Let j = 1975 - 9841/5. Determine s so that 24/5*s**c + 6/5*s**2 + 0 - 4/5*s + j*s**3 = 0.
-1, -2/3, 0, 1/4
Let y(b) be the third derivative of -b**6/60 - b**5/5 - 2*b**4/3 - 4*b**2. Suppose y(z) = 0. Calculate z.
-4, -2, 0
Suppose -5*g + 20 + 27 = -3*a, 0 = 4*g + a - 24. Suppose 0 = -g*u + 2*u + 10. Let -t**4 - t**u + 6*t**2 - 2*t**2 - 2*t**2 = 0. Calculate t.
-1, 0, 1
Let x be ((-2)/4)/((-3)/18). Let g(a) be the first derivative of -3 - 1/2*a**4 + 0*a - a**2 + 4/3*a**x. Factor g(v).
-2*v*(v - 1)**2
Let b(p) = 4*p**2 - 1. Let y(o) = -15*o**2 - o + 3. Let s be (-88)/(-6)*(-21)/(-14). Let r(c) = s*b(c) + 6*y(c). Factor r(j).
-2*(j + 1)*(j + 2)
Let s be 2*(39/432)/13. Let a(h) be the third derivative of 0*h**5 + 0*h - 3*h**2 + 0*h**3 + 0 - 1/360*h**6 + s*h**4. Find m such that a(m) = 0.
-1, 0, 1
Let d be (-3)/(-44) + (-4)/(-22). Let -3/4*n - 1/2*n**2 - d = 0. What is n?
-1, -1/2
Let n(l) = -4*l + 2. Let v(y) = -y**3 - 7*y + 3. Let x(q) = 5*n(q) - 2*v(q). Suppose x(h) = 0. Calculate h.
-2, 1
Let q be 2*(-6 + 3)/(-3). Let u(a) be the second derivative of -a + 9/80*a**5 + 1/24*a**3 + 0 - 1/30*a**6 - 1/8*a**4 + 0*a**q. Factor u(b).
-b*(b - 1)**2*(4*b - 1)/4
Factor -2/3*i**2 + 0 + 2/3*i**4 - 4/3*i**3 + 4/3*i.
2*i*(i - 2)*(i - 1)*(i + 1)/3
Suppose -4*u = -2*u - 4. Let x be (-10)/(-50)*(-30)/(-15). Factor x*o**3 + 0 + 0*o**u + 0*o.
2*o**3/5
Let t be (6/(-4))/((-6)/8). Determine x, given that 3*x - t*x**2 - 3*x**2 - x + 4*x**2 = 0.
0, 2
Let w(a) be the second derivative of 0*a**2 - 1/40*a**5 + 1/12*a**3 + 1/24*a**4 - 3*a + 0 - 1/60*a**6. Factor w(h).
-h*(h - 1)*(h + 1)**2/2
Suppose 3*p**2 - 3*p**2 - 5*p**3 + 0*p**2 = 0. What is p?
0
Let n(h) = -2*h**2 + h. Let s be n(1). Let r(c) = 5*c**2 - c. Let d be r(s). Solve 10*j + 0*j**2 + 0*j**2 + d*j**2 + 4 = 0.
-1, -2/3
Let p(f) be the second derivative of 2*f + 0*f**2 + 0 - 2/15*f**4 + 1/15*f**3. Factor p(d).
-2*d*(4*d - 1)/5
Let l(n) be the first derivative of n**6/1260 + n**5/420 - n**4/42 + n**3 - 1. Let q(t) be the third derivative of l(t). Factor q(z).
2*(z - 1)*(z + 2)/7
Let y = 1495/7 + -213. Let d(b) be the second derivative of 0 - 12/7*b**3 - y*b**2 - b - 27/14*b**4. What is h in d(h) = 0?
-2/9
Let -4/9*l - 2/3 + 2/9*l**2 = 0. What is l?
-1, 3
Let f = 691/36 + -75/4. Factor -2/9*a**3 + 0*a**2 + 2/3*a + f.
-2*(a - 2)*(a + 1)**2/9
Let j(g) be the third derivative of g**5/270 - 7*g**2. Factor j(f).
2*f**2/9
Let u = -1 - 1. Let i(a) = -192*a**3 - 288*a**2 + 173*a - 24. Let w(y) = -64*y**3 - 96*y**2 + 58*y - 8. Let o(k) = u*i(k) + 7*w(k). Factor o(m).
-4*(m + 2)*(4*m - 1)**2
Let f(a) be the second derivative of -a**4/12 - a**3/6 - 10*a. Factor f(z).
-z*(z + 1)
Let j(f) be the second derivative of -3*f**6/65 + f**5/65 + 5*f. Factor j(y).
-2*y**3*(9*y - 2)/13
Let u(n) = 2*n + 4. Suppose -4*q - q + 5*b - 25 = 0, 2*b = -2*q + 2. Let t be u(q). Factor -1/4*l**2 + 0 + t*l.
-l**2/4
Let i be (2/4)/(3/(-2)). Let h = 1 + i. What is c in 2/3*c**2 + 2/3*c**5 + 0*c + 0 - h*c**4 - 2/3*c**3 = 0?
-1, 0, 1
Let r(k) be the first derivative of k**4/10 + 14*k**3/15 + 3*k**2 + 18*k/5 - 4. Let r(o) = 0. Calculate o.
-3, -1
Let u = 6 - 17/3. Let o(c) be the second derivative of 0 - 1/2*c**2 + u*c**3 - 1/12*c**4 + c. Find w such that o(w) = 0.
1
Let b = 191 + -381/2. Factor -g**3 + 0*g - 1/2*g**4 + 0 - b*g**2.
-g**2*(g + 1)**2/2
Let b = -15/41 + 307/615. Let t(i) be the third derivative of -3*i**2 + 0*i - 1/50*i**5 + b*i**3 - 1/12*i**4 + 0. Factor t(r).
-2*(r + 2)*(3*r - 1)/5
Let y be -3 + 5 - 2/4. Factor 3/2*i**5 - 3/2*i**2 - 3/2*i**3 + 0 + 0*i + y*i**4.
3*i**2*(i - 1)*(i + 1)**2/2
Let v(z) be the first derivative of z**4/8 - 5*z**3/6 - z**2/4 + 5*z/2 + 7. Find y, given that v(y) = 0.
-1, 1, 5
Solve -20*w - 35/4*w**2 - 5 = 0 for w.
-2, -2/7
Let i(f) be the first derivative of 2*f**3/39 - 3*f**2/13 + 4*f/13 - 8. Factor i(x).
2*(x - 2)*(x - 1)/13
Let i(j) = 9*j**3 - 9*j**2 - 12*j + 18. Let s(h) = -19*h**3 + 19*h**2 + 24*h - 37. Let b(c) = 13*i(c) + 6*s(c). Factor b(g).
3*(g - 2)*(g - 1)*(g + 2)
Let v(z) be the third derivative of z**6/260 + z**5/195 + 13*z**2. Factor v(l).
2*l**2*(3*l + 2)/13
Suppose 0 = b - 2. Suppose -b*n + 6*k + 35 = k, 0 = k + 5. Factor 13/2*c**4 + 7/2*c**2 - 2*c**n - 1/2*c - 15/2*c**3 + 0.
-c*(c - 1)**3*(4*c - 1)/2
Let i = 37/2 - 109/6. Let p = 11/8 - 25/24. Factor i*n - p*n**3 - 1/3*n**2 + 1/3.
-(n - 1)*(n + 1)**2/3
Let t(a) be the first derivative of -a**4/2 + 2*a**3/3 + a**2 - 2*a - 8. Suppose t(n) = 0. Calculate n.
-1, 1
Suppose -2*p + 6 = -8. Factor -k**3 + 4*k - p*k + 6*k**2 - k**3 + 2 - 3*k.
-2*(k - 1)**3
Let x(k) be the second derivative of -k + 1/12*k**4 + 1/2*k**2 + 0 - 1/3*k**3. Factor x(i).
(i - 1)**2
Let r be (-13)/20 - (-2)/3. Let c(w) be the third derivative of 0*w**3 + 1/96*w**4 + 0*w - r*w**5 + 0 - w**2. Let c(n) = 0. Calculate n.
0, 1/4
Let j(c) be the third derivative of -c**7/75 + 31*c**6/600 - 3*c**5/50 - c**4/120 + c**3/15 - 7*c**2. Find s such that j(s) = 0.
-2/7, 1/2, 1
Let l(m) be the third derivative of -m**7/1260 + m**6/720 + 9*m**2. Determine y so that l(y) = 0.
0, 1
Suppose 0 = -0*d + d - 4*r + 2, -5*d - 4*r + 14 = 0. Suppose 2*l**2 - 3*l**d + l**2 + 4*l - 2*l**2 = 0. What is l?
0, 2
Suppose 0 = -5*n + 2*q + 56, 4*n - q - 38 = 4*q. Let i be (-21)/(-12) - (-3)/n. Factor 1/2*x**4 + 0*x**3 + 0*x - 1/2*x**i + 0.
x**2*(x - 1)*(x + 1)/2
Find u, given that 2*u + 5*u + 2 + 5*u**2 + 3*u + 3 = 0.
-1
Let z(x) = 13*x**3 + 1 - 5 - 2*x**2 - 2*x + 6. Let b(p) = 7*p**3 - p**2 - p + 1. Let q(l) = 11*b(l) - 6*z(l). Factor q(o).
-(o - 1)**2*(o + 1)
Let z(m) = 24*m**3 + 7*m**2 - 4*m + 11. Let t(c) = 6*c**3 + 2*c**2 - c + 3. Let l(v) = 22*t(v) - 6*z(v). Determine x so that l(x) = 0.
-1/3, 0, 1/2
Let b(a) be the third derivative of a**7/420 - a**6/48 + a**5/120 + 7*a**4/16 - 3*a**3/2 - 64*a**2. Factor b(w).
(w - 3)**2*(w - 1)*(w + 2)/2
Let s = 5 - 0. Suppose 0 = 5*g - s*i - 25, 0 = g + 4*g + 2*i - 11. Factor 0 - n**g + n**4 - 1/3*n**5 + 1/3*n**2 + 0*n.
-n**2*(n - 1)**3/3
Let f(l) be the first derivative of -