n) be the second derivative of 0*n**3 + 0 + 1/90*n**5 + 1/54*n**4 + x*n + 0*n**2. Let r(p) = 0. What is p?
-1, 0
Let d(n) be the first derivative of 5*n**4/4 - 5*n**2/2 + 12. Suppose d(v) = 0. What is v?
-1, 0, 1
Let i(s) be the first derivative of 0*s + 6 + 2/9*s**2 + 2/27*s**3. Factor i(u).
2*u*(u + 2)/9
Suppose 3*a - 2*p - 5 = 0, -p + 6*p = -2*a - 3. Let c(o) = 2*o - 2. Let h be c(a). Suppose 0*b + h + 1/3*b**2 + 1/3*b**4 + 2/3*b**3 = 0. Calculate b.
-1, 0
Suppose -6*a = 49 + 65. Let y be (-1)/4 + a/(-76). Let -2/9*g**3 - 2/9*g + 4/9*g**2 + y = 0. What is g?
0, 1
Suppose -3*o + 20 = 8. Let q(u) be the third derivative of -u**2 + 0*u + 1/120*u**6 - 1/210*u**7 + 0 - 1/24*u**o + 0*u**3 + 1/60*u**5. Factor q(h).
-h*(h - 1)**2*(h + 1)
Suppose 3*h = 5*o + 45, -h = -3*o - o - 22. Let q be 2/5 - 28/(-5). What is y in -24*y**2 + 10*y**3 - 22*y**3 - h*y - 2*y**4 - q*y = 0?
-2, 0
Suppose 4*s + s - 12 = -4*d, -2*d + 6 = s. Let p = d + -1. Factor 0*v**2 + 2 + v - 4*v + v**p.
(v - 2)*(v - 1)
Let q(r) be the second derivative of 2/5*r**5 + 1/15*r**6 + r**4 + r**2 - 3*r + 4/3*r**3 + 0. Factor q(b).
2*(b + 1)**4
Let s(d) = -d - 1. Let z(i) = -i**3 - 3*i**2 - 2*i - 2. Let x(u) = -10*s(u) + 5*z(u). Solve x(h) = 0 for h.
-3, 0
Find q such that -2/3*q**3 + 2/3 - 2*q + 2*q**2 = 0.
1
Let g(f) = 3*f**3 - 5*f**2 + 3*f - 3. Let y be g(3). Let q = 44 - y. Suppose 1/2*i + 1/2*i**q - 1/2 - 1/2*i**3 = 0. Calculate i.
-1, 1
Determine y so that -5*y**2 + 2*y + 7*y**2 + 0*y**2 = 0.
-1, 0
Let z = -60 + 25. Let x = 253/7 + z. Determine a so that -2/7*a**3 - 10/7*a + x*a**2 + 4/7 = 0.
1, 2
Solve 4/5*k - 4/5*k**3 - 2/5*k**2 + 0 + 2/5*k**4 = 0.
-1, 0, 1, 2
Let x = 1/435 - -7823/3045. Let l be 0 + 1 + -2 - -5. Find q, given that 2*q**3 + 10/7*q - 2/7 - 4/7*q**l - x*q**2 = 0.
1/2, 1
Let j(u) = u + 9. Let k be j(-7). Factor -4/5*w + 1/5*w**k + 4/5.
(w - 2)**2/5
Let f(l) be the third derivative of -l**5/15 - 5*l**4/3 - 50*l**3/3 - 25*l**2. Factor f(o).
-4*(o + 5)**2
Let t(j) be the second derivative of -j**7/189 + 2*j**6/135 - j**5/90 + 2*j. Factor t(a).
-2*a**3*(a - 1)**2/9
Let b(m) be the first derivative of -3 + 0*m - 1/8*m**2 - 1/12*m**3. Factor b(s).
-s*(s + 1)/4
Let t(i) be the second derivative of i**4/32 + 3*i**3/8 + 15*i**2/16 + 6*i. Factor t(q).
3*(q + 1)*(q + 5)/8
Let f(o) be the second derivative of -1/12*o**4 + 0 + 0*o**3 + 1/60*o**6 + 0*o**2 - 2*o + 1/40*o**5. Determine s so that f(s) = 0.
-2, 0, 1
Let c(d) = 7*d**2 + 11*d. Let g(o) = -6*o**2 - 10*o. Let y(i) = 2*c(i) + 3*g(i). What is q in y(q) = 0?
-2, 0
Let k(p) be the third derivative of p**9/34560 - p**8/40320 - p**5/12 + 6*p**2. Let o(a) be the third derivative of k(a). What is z in o(z) = 0?
0, 2/7
Let v(i) be the second derivative of i**7/168 - i**6/40 + 3*i**5/80 - i**4/48 + 5*i. Factor v(d).
d**2*(d - 1)**3/4
Let b(f) be the first derivative of 1/12*f**3 - 3/16*f**4 + 4 + 3/8*f**2 - 1/4*f. Find a such that b(a) = 0.
-1, 1/3, 1
Let l(i) be the second derivative of -i**6/150 + i**5/100 + i. Factor l(o).
-o**3*(o - 1)/5
Let k(p) = 2*p - 4. Let b be k(5). Suppose -b*t + 8 = -2*t. Let -6*z**4 - 8*z**3 - z**2 + z + 3*z**t + 3*z = 0. What is z?
-1, 0, 2/3
Let q(t) be the second derivative of t**5/20 + t**4/3 + 2*t**3/3 + 43*t. Determine x so that q(x) = 0.
-2, 0
Let m(c) be the first derivative of -3*c**4/4 - 3*c**3 + 12*c + 6. Determine f, given that m(f) = 0.
-2, 1
Let q(g) be the third derivative of g**9/840 + g**8/1680 + g**4/12 + 6*g**2. Let t(h) be the second derivative of q(h). Factor t(o).
2*o**3*(9*o + 2)
Let 4/7*v**2 + 2/7*v**3 + 2/7*v + 0 = 0. Calculate v.
-1, 0
Let h(z) be the second derivative of 0 - 3*z - 1/6*z**4 + 2/3*z**3 - z**2. Factor h(q).
-2*(q - 1)**2
Let x(y) be the first derivative of y**2 + 0*y + 0*y**4 + 1/27*y**3 - 2 - 1/270*y**5. Let b(i) be the second derivative of x(i). Factor b(s).
-2*(s - 1)*(s + 1)/9
Let j(k) be the second derivative of k**5/20 + k**4/12 - k**3/6 - k**2/2 - 13*k. Suppose j(g) = 0. What is g?
-1, 1
Let x(m) be the second derivative of -m**5/4 - 5*m**4/12 + 5*m**3/6 + 5*m**2/2 - 3*m. Factor x(o).
-5*(o - 1)*(o + 1)**2
Let s(j) = -9*j**3 + 10*j**2 - j. Let z = -69 + 108. Let n(i) = 55*i**3 - 59*i**2 + 5*i - 1. Let v(u) = z*s(u) + 6*n(u). Factor v(x).
-3*(x - 1)**2*(7*x + 2)
Suppose 0*q + 2*q + 12 = 0. Let c(v) = 4*v**2. Let y(d) be the third derivative of -d**5/12 + 2*d**2. Let o(m) = q*c(m) - 5*y(m). Factor o(i).
i**2
Let o(n) be the first derivative of -n**3/3 + n + 27. Determine j, given that o(j) = 0.
-1, 1
Let z = -36/13 + 278/91. Factor -6/7*s**2 - 10/7*s + 2/7*s**4 - 4/7 + z*s**3.
2*(s - 2)*(s + 1)**3/7
Let k(t) = t**2 + 7*t + 8. Let d be k(-6). Suppose 0 = 4*m - 5*m + d. Factor 5*s + 2*s**m - s + 0*s.
2*s*(s + 2)
Let p(v) = -v**3 + v**2 - v. Let g(m) = 4*m**4 + 14*m**3 - 4*m**2 + 7*m. Let r(z) = -3*g(z) - 21*p(z). Determine i so that r(i) = 0.
-1, -3/4, 0
Let c be ((-3)/(108/(-8)))/((-8)/(-12)). Let l(n) be the first derivative of n - 2 + 0*n**2 - c*n**3. Factor l(r).
-(r - 1)*(r + 1)
Let a(v) be the first derivative of -v**4/2 + 4*v**3/3 - v**2 - 7. Factor a(n).
-2*n*(n - 1)**2
Let n(q) be the second derivative of -5*q**4/12 + 65*q**3/3 - 845*q**2/2 + 3*q + 2. Find g, given that n(g) = 0.
13
Let g(t) be the first derivative of 1/2*t**4 + 1/5*t**5 - 2 + 1/3*t**3 + 0*t**2 + 0*t. What is c in g(c) = 0?
-1, 0
What is n in 0*n - 75/4*n**5 - 18*n**3 - 135/4*n**4 - 3*n**2 + 0 = 0?
-1, -2/5, 0
Let p(h) be the first derivative of 5*h**4/28 - 2*h**3/3 - 3*h**2/14 - 48. Factor p(u).
u*(u - 3)*(5*u + 1)/7
Let a(d) be the second derivative of -3*d**5/20 - d**4/2 - d**3/2 - 2*d. Determine t, given that a(t) = 0.
-1, 0
Determine s so that 88/7*s**2 - 120/7*s**4 - 144/7*s + 32/7 + 4*s**5 + 116/7*s**3 = 0.
-1, 2/7, 1, 2
Let f(c) be the second derivative of c**6/2 - 5*c**5/4 - 5*c**4/12 + 25*c**3/6 - 5*c**2 + 4*c. Factor f(n).
5*(n - 1)**2*(n + 1)*(3*n - 2)
Let b(r) be the second derivative of -r**5/4 - 5*r**4/12 - 6*r. Suppose b(s) = 0. What is s?
-1, 0
Let d(g) = -g**2 - g + 3. Let c be d(-3). Let y = -1 - c. Find k such that 5*k**2 - 3*k**y - 6*k + 4*k = 0.
0, 1
Let b(s) be the third derivative of -13*s**5/20 - 27*s**4/8 - s**3 + 22*s**2. Suppose b(k) = 0. What is k?
-2, -1/13
Let u(p) be the first derivative of 0*p**2 + 0*p - 1/6*p**6 + 1/3*p**3 - 1/5*p**5 - 3 + 1/4*p**4. Factor u(z).
-z**2*(z - 1)*(z + 1)**2
Let k = -1 + -2. Let a = k + 5. Solve -2*d - 10*d**2 - 5*d**3 + d**2 + d + 2 + d**a = 0.
-1, 2/5
Factor -2*c**2 - c - c**2 + 5*c**2 - 3*c**2.
-c*(c + 1)
Let c(q) = -q**2 + 1. Let p be c(-1). Factor -r**2 + 3*r + p*r - 2*r - 2 + 2*r**2.
(r - 1)*(r + 2)
Let y(v) = v**3 - 7*v**2 + v - 3. Let m(t) = -6*t**2 - 2. Let z(h) = 6*m(h) - 4*y(h). Solve z(r) = 0 for r.
-1, 0
Let h(o) = -8*o**5 + 4*o**4 + 6*o**3 - 4*o**2 + 2*o - 6. Let m(x) = 7*x**5 - 4*x**4 - 5*x**3 + 4*x**2 - 2*x + 5. Let b(u) = 5*h(u) + 6*m(u). Factor b(g).
2*g*(g - 1)**3*(g + 1)
Factor 2/3*h**2 + 8/9*h**3 - 10/9 - 4/3*h.
2*(h + 1)**2*(4*h - 5)/9
Find s, given that -1/3*s**4 + 0*s + 0*s**2 + 0 + 1/3*s**3 = 0.
0, 1
Let a(f) be the first derivative of 0*f - 2/9*f**3 + 1/9*f**6 - 2/5*f**5 + 1/2*f**4 + 1 + 0*f**2. Let a(n) = 0. Calculate n.
0, 1
Suppose 3*g = 3*y - 0*y - 9, -2*g = 3*y - 9. Find o such that o**4 + 5*o**y + 0*o**3 - 3*o**4 - 3*o**3 = 0.
0, 1
Let -9/5*h**3 + 4*h**2 + 2/5 - 13/5*h = 0. Calculate h.
2/9, 1
Let j(p) be the third derivative of -1/630*p**7 - 1/504*p**8 + 0*p**5 - p**2 + 0*p + 0 + 1/360*p**6 + 0*p**4 + 0*p**3. Factor j(s).
-s**3*(s + 1)*(2*s - 1)/3
Let d(m) be the second derivative of m**4/6 - 2*m**3 + 9*m**2 + m. Factor d(a).
2*(a - 3)**2
Let -4/7*p**4 + 1/7*p**5 + 0 + 0*p + 5/7*p**3 - 2/7*p**2 = 0. Calculate p.
0, 1, 2
Let q be ((-48)/(-32))/(1*2/4). Determine d so that -1/8*d + 1/2*d**q - 1/4*d**4 + 0 - 3/8*d**5 + 1/4*d**2 = 0.
-1, 0, 1/3, 1
Solve 3*u**4 - 2*u**2 + 3*u**2 - 5*u**5 + 4*u**5 + 0*u**4 - 3*u**3 = 0.
0, 1
Let y(b) be the second derivative of -b**8/2184 - b**7/1365 + b**6/780 + b**5/390 - b**2/2 - 4*b. Let h(q) be the first derivative of y(q). Factor h(j).
-2*j**2*(j - 1)*(j + 1)**2/13
Let n(x) be the third derivative of -x**5/100 - 9*x**4/40 - 4*x**3/5 + 11*x**2. Let n(c) = 0. What is c?
-8, -1
Let j(p) be the second derivative of p**7/231 - p**6/165 - p**5/55 - 21*p. Sol