e n(g) = 0.
-1, 2
Let z = 1/720 - -1427/9360. Find r such that -4/13*r**3 - 6/13*r**2 + 0*r + z*r**4 + 0 = 0.
-1, 0, 3
Factor 8*s**3 - 64*s**4 - 7*s**2 - 4*s**2 + 5*s**2 + 62*s**4.
-2*s**2*(s - 3)*(s - 1)
Let k(c) = -c**2 + 9*c - 14. Let h be k(7). Find w, given that -1/5*w**5 + h*w**2 - 2/5*w**4 + 0*w - 1/5*w**3 + 0 = 0.
-1, 0
Suppose -17*b + 22*b = 0. Factor -3/2*n - 9/4*n**4 + b + 3*n**3 + 3/4*n**2.
-3*n*(n - 1)**2*(3*n + 2)/4
Let v = -876832/433665 + -3/9637. Let s = v - -20/9. Factor s*t + 1/5*t**2 - 1/5 - 1/5*t**3.
-(t - 1)**2*(t + 1)/5
Let c(b) be the second derivative of b**5/60 - b**4/12 + b**3/6 + b**2 + 5*b. Let t(o) be the first derivative of c(o). Suppose t(x) = 0. Calculate x.
1
Let v be (-7)/(-28) - 3/12. Find b such that 0*b**3 + v*b**2 + 0 + 0*b - 2/9*b**4 = 0.
0
Suppose n**4 - 10*n**2 - 2*n**2 + 23*n + n**4 - 7*n - 6 = 0. What is n?
-3, 1
Let c(o) = o - 4. Let u be c(7). Let d be 2/(u/3) + 10. Let -9*a**2 - 2 - 4 - 3*a + d*a**2 = 0. Calculate a.
-1, 2
Suppose -3*j = -0*z - 4*z, -z = -3. Let 23*b + 12*b**2 - 4*b**4 - 27*b - j - 4 + 4*b**3 = 0. What is b?
-1, 1, 2
Factor 4 - 7*s - 5*s**4 - 7*s**3 + 6*s + 9*s + s**2 - s**5.
-(s - 1)*(s + 1)**2*(s + 2)**2
Let y(i) = -16*i**2 + 25*i - 41. Let h(s) = -3*s**2 + 5*s - 8. Let r(f) = -22*h(f) + 4*y(f). What is t in r(t) = 0?
2, 3
Let t(q) be the third derivative of q**5/160 + q**4/192 - 27*q**2. Factor t(i).
i*(3*i + 1)/8
Let -3/8*w + 3/8*w**3 - 3/4*w**2 + 3/4 = 0. Calculate w.
-1, 1, 2
Determine g, given that 19*g - 17*g**3 + 9*g - 7*g**3 - 44*g**2 - 44*g + 4 = 0.
-1, 1/6
Factor 6*w**2 + 0*w**2 - 3*w**2.
3*w**2
Suppose -4*n = 20, -4*n + 5*n = z - 7. Suppose -7 = -4*y + 5*v, 11 = 3*y + z*v - 0. Suppose 2/7*x**y + 6/7*x - 2/7 - 6/7*x**2 = 0. What is x?
1
Let v(h) be the third derivative of h**5/21 + h**4/14 - 4*h**3/21 - 11*h**2. Suppose v(d) = 0. What is d?
-1, 2/5
Let d(f) = -f**3 + 3*f**2 - 3*f - 2. Let g be d(3). Let h(y) = 2*y**2 - 8*y + 19. Let c(p) = -p**2 + 4*p - 10. Let j(k) = g*c(k) - 6*h(k). Factor j(z).
-(z - 2)**2
Let q(o) be the second derivative of -o**4/8 + 3*o**2/4 - 10*o. What is u in q(u) = 0?
-1, 1
Let q(r) be the second derivative of -r**5/22 + r**4/3 - 28*r**3/33 + 8*r**2/11 + 8*r. Factor q(b).
-2*(b - 2)**2*(5*b - 2)/11
Let n(q) be the first derivative of 0*q**3 - q**2 + 0*q + 0*q**5 + q**4 + 2 - 1/3*q**6. Factor n(p).
-2*p*(p - 1)**2*(p + 1)**2
Let s(d) be the first derivative of 0*d - 1/24*d**6 - 1/10*d**5 + 1/8*d**2 + 0*d**4 + 1/6*d**3 - 1. Factor s(z).
-z*(z - 1)*(z + 1)**3/4
Suppose 9*a + 0*a = 18. Factor 2/9 + 0*h - 2/9*h**a.
-2*(h - 1)*(h + 1)/9
Let b(r) be the third derivative of r**5/40 - r**4/16 - r**3/2 - 6*r**2. What is u in b(u) = 0?
-1, 2
Solve 0*u + 0 + u**3 - 1/2*u**4 + 4*u**2 = 0 for u.
-2, 0, 4
Let x(p) be the second derivative of -11*p**4/4 + p**3 + 4*p - 3. Factor x(d).
-3*d*(11*d - 2)
Suppose 19 = 3*h + 7. Determine a, given that -3*a**h + 4*a**4 - 2*a - 2*a**3 - 3*a**2 - 2*a**3 + 8*a**2 = 0.
0, 1, 2
Let c = -13 - -17. Let -c*f**3 + 3*f**3 - 3*f**2 + 7*f**3 - 6*f**2 - f**4 = 0. Calculate f.
0, 3
Suppose 0 = -5*g + 2*g. Suppose 5*q + g*q = 10. Factor 2*r + 2*r + r**2 - 3*r**q - 6*r.
-2*r*(r + 1)
Let n be 50/(-5)*(1 + (-74)/70). Determine k so that n*k - 2/7*k**2 + 6/7*k**4 - 8/7*k**3 + 0 = 0.
-2/3, 0, 1
Let m be 0/2*(-1)/2*1. Factor m*u + 3/2*u**3 + 0 - 3/2*u**2.
3*u**2*(u - 1)/2
Let c(a) = a**3 + a**2 + a + 1. Let g(k) = -3*k**3 - k**2 - 3*k + 1. Let p(w) = -c(w) - g(w). Let n be p(1). Suppose 0 - 2/11*f + 2/11*f**n = 0. Calculate f.
0, 1
Let k(g) be the second derivative of 0*g**4 + 0 + 1/160*g**5 - 1/16*g**3 - 8*g + 1/8*g**2. Find y, given that k(y) = 0.
-2, 1
Let x(g) be the second derivative of 0 - 1/5*g**6 - 6*g + 0*g**3 + 0*g**4 - 1/14*g**7 - 3/20*g**5 + 0*g**2. Factor x(p).
-3*p**3*(p + 1)**2
Let p(n) = -n + n + 4*n. Let d be p(1). Let 0*l**3 - d*l**2 - l + l**3 + 5*l**2 - l**4 = 0. What is l?
-1, 0, 1
Let p(q) be the first derivative of -q**5/30 - q**4/12 + 2*q**3/3 - 9*q**2/2 + 4. Let l(x) be the second derivative of p(x). Factor l(z).
-2*(z - 1)*(z + 2)
Let l(a) be the second derivative of a**7/189 + 4*a**6/135 + 29*a. Let l(w) = 0. Calculate w.
-4, 0
Let i = -259/6 - -133/3. Let c = i + -1/2. Factor 0 + 2/3*a**2 + 2/3*a**3 - c*a - 2/3*a**4.
-2*a*(a - 1)**2*(a + 1)/3
Let o(t) = 41*t - 1. Let r be o(1). Let y be ((-15)/(-70))/(5/r). Factor 8/7*n**2 + 2/7*n + 0 + 2/7*n**5 + 8/7*n**4 + y*n**3.
2*n*(n + 1)**4/7
Suppose 0 = -2*r - 2*r + 52. Let m = r - 13. Factor 0*n**3 + 4/3*n**2 - 2/3*n**5 - 4/3*n**4 + 2/3*n + m.
-2*n*(n - 1)*(n + 1)**3/3
Let w be 14/4*(-12)/(-21). Let r(y) be the second derivative of -18*y**3 + 27/5*y**5 + 0 + 2*y - 77/4*y**4 + 81/10*y**6 - 6*y**w. Factor r(a).
3*(a - 1)*(a + 1)*(9*a + 2)**2
Solve -37*u**2 + 23*u**2 + 8*u - 24 + 16*u**2 = 0 for u.
-6, 2
Factor -3/4*c**2 + 3/8*c**3 + 0 + 0*c.
3*c**2*(c - 2)/8
Let o(g) be the first derivative of 1/2*g**4 + 0*g + 5/27*g**6 - 8/15*g**5 + 10 - 4/27*g**3 + 0*g**2. Factor o(b).
2*b**2*(b - 1)**2*(5*b - 2)/9
Let -49/2*f**3 - 24 + 166*f - 280*f**2 = 0. Calculate f.
-12, 2/7
Determine y so that -243/5 - 3/5*y**2 - 54/5*y = 0.
-9
Let t = 2 - 5. Let j = 9 + t. Factor -2*f**2 - j*f + 4*f**2 - 6 + 10.
2*(f - 2)*(f - 1)
Factor 2/7*t**5 + 0*t - 2/7*t**3 - 2/7*t**2 + 0 + 2/7*t**4.
2*t**2*(t - 1)*(t + 1)**2/7
Let f(q) be the first derivative of 2*q**5/75 + q**4/15 + 2*q**3/45 - 12. Factor f(n).
2*n**2*(n + 1)**2/15
Let b(i) be the third derivative of 2*i**2 + 0 + 0*i**6 + 0*i + 0*i**4 + 0*i**3 - 1/60*i**5 + 1/210*i**7. Factor b(d).
d**2*(d - 1)*(d + 1)
Let m = 174 - 174. Factor m*x - 2/11 + 2/11*x**2.
2*(x - 1)*(x + 1)/11
Let c(u) be the second derivative of -u**4/60 - 10*u. Find d such that c(d) = 0.
0
Suppose 1 = o + 3, 0 = -3*d - 5*o - 1. Suppose 32/5*s + 5*s**5 + 97/5*s**2 + 4/5 + 139/5*s**d + 19*s**4 = 0. Calculate s.
-1, -2/5
Let -2/5*f**4 - 8/5 + 0*f**3 + 2*f**2 + 0*f = 0. What is f?
-2, -1, 1, 2
Factor 1/3 + 1/3*s**3 - 1/3*s - 1/3*s**2.
(s - 1)**2*(s + 1)/3
Let r be 16/(-6)*(-162)/24. Let m = r - 13. Find a such that 7 - 6*a - 4 - m*a**2 - 7 + 3*a**2 = 0.
-2, -1
Let i(l) be the first derivative of -l**4 + 16/3*l**3 - 4 - 10*l**2 + 8*l. Let i(q) = 0. What is q?
1, 2
Let q be -24*-3*(-1)/(-27). Find u, given that 7/6*u**3 + 2/3 + 5/6*u**2 - q*u = 0.
-2, 2/7, 1
Let h(f) be the second derivative of f**10/120960 - f**9/30240 + f**7/5040 - f**6/2880 - f**4/6 - 3*f. Let x(z) be the third derivative of h(z). Factor x(l).
l*(l - 1)**3*(l + 1)/4
Let w be -2 + 12/32*4 + 1. Let i(v) be the first derivative of w*v**4 + 0*v**3 - v**2 - 3 + 0*v. Factor i(f).
2*f*(f - 1)*(f + 1)
Let s = 3 - 0. Let d = 5 + -5. Factor -2*c**2 + 5*c**4 - 2*c**s - 2*c + 4*c - 3*c**4 + d*c.
2*c*(c - 1)**2*(c + 1)
Factor -4*p**3 - 2 + 2*p**5 + 10*p + 10*p**3 - 10*p**4 + 14*p**3 - 20*p**2.
2*(p - 1)**5
Suppose 0*j = 7*j. Suppose 0*o = -o + 4. Suppose j*l**2 - 2/5*l**o + 2/5 + 4/5*l**3 - 4/5*l = 0. What is l?
-1, 1
Let i(h) be the third derivative of h**7/210 + h**6/24 - h**5/60 - 5*h**4/24 - 13*h**2. Factor i(u).
u*(u - 1)*(u + 1)*(u + 5)
Let c be (-14 + 8)/((-4)/2). Factor 0*x - 3*x**c - 7*x**3 + 2*x - 6*x**2 + 2*x**3.
-2*x*(x + 1)*(4*x - 1)
Let r(m) be the third derivative of 2/525*m**7 + 0*m + 1/120*m**4 + 0 - 5*m**2 + 1/1680*m**8 + 1/100*m**6 + 0*m**3 + 1/75*m**5. Factor r(v).
v*(v + 1)**4/5
Let i(r) be the second derivative of r**4/6 - r**3/36 - r**2/12 - 5*r. Suppose i(m) = 0. What is m?
-1/4, 1/3
Let f(j) be the first derivative of 9*j**4 + 20*j**3 + 14*j**2 + 4*j + 4. Factor f(u).
4*(u + 1)*(3*u + 1)**2
Let b = -3/235 - -426/235. What is y in 0*y + b*y**4 + 0*y**3 + 3/5*y**5 + 0 - 12/5*y**2 = 0?
-2, 0, 1
Let k(a) be the second derivative of -5*a**4/12 + 2*a**3/3 + a**2/2 - a. Solve k(u) = 0 for u.
-1/5, 1
Let k = 18 - 13. Let q(i) be the second derivative of -1/6*i**3 + 1/6*i**4 - i**2 - 2*i + 1/20*i**k + 0. What is s in q(s) = 0?
-2, -1, 1
Find y, given that 12/17*y - 2/17*y**2 + 14/17 = 0.
-1, 7
Let k(s) be the second derivative of -s**6/40 + 3*s**5/20 - 3*s**4/8 + s**3/2 + 3*s**2/2 - s. Let f(u) be the first derivative of k(u). Factor f(i).
-3*(i - 1)**3
Let u(w) be the first derivative of 1/7*w**3 - 1/4*w**4 + 0*w + 5/42*w**6 + 6 + 1/7*w**2 - 3/35*w**5. Find r such that u(r) = 0.
-1, -2/5, 0, 1
Let s(