(-9))/(1/(-3)). Let q(v) = -2*v**3 + 4*v**2. Let z(m) = m**2 - m + 1. Let f(w) = o*z(w) - q(w). Find r such that f(r) = 0.
-1, 1
Let v be (42/21)/((-2)/(-3)). Factor -f + 1/3 - 1/3*f**2 + f**v.
(f - 1)*(f + 1)*(3*f - 1)/3
Let 8/3*c**2 + 2/9*c**4 - 20/9*c + 2/3 - 4/3*c**3 = 0. What is c?
1, 3
Let f(b) = 3*b - 9. Let n be f(5). Factor 5*p + n*p - 3*p - 8*p**2 + 10*p**2 + 8.
2*(p + 2)**2
Let m = -8 + 13. Suppose -q**3 + 3/2*q - 1/2*q**m - 3/2*q**4 + q**2 + 1/2 = 0. Calculate q.
-1, 1
Let a(q) be the second derivative of 2*q**6/15 - 3*q**5/5 + q**4 - 2*q**3/3 - 2*q. Factor a(t).
4*t*(t - 1)**3
Let f(q) be the first derivative of 0*q**3 + 1/34*q**4 + 8 - 1/17*q**2 + 0*q. Let f(p) = 0. What is p?
-1, 0, 1
Let l be 3/(-6)*(-1 - 3). Let n be (l/4)/(9/6). Determine i, given that -2*i**2 - 8/3*i**3 + 0*i - i**4 + n = 0.
-1, 1/3
Factor 0*o + 1/2 + 1/2*o**4 + 0*o**3 - o**2.
(o - 1)**2*(o + 1)**2/2
Suppose -3*k + 6 = -6. Let y(a) be the third derivative of -1/240*a**6 + 1/48*a**k + 0*a**3 + 0 + 0*a + 2*a**2 - 1/48*a**5 + 1/168*a**7. Factor y(b).
b*(b - 1)*(b + 1)*(5*b - 2)/4
Factor -5*j**2 + 7*j**2 + 5*j**3 + 15*j + 18*j**2 + 0*j**3.
5*j*(j + 1)*(j + 3)
Let i(m) = -3*m**4 + 25*m**3 + 43*m**2 + 15*m - 5. Let n(k) = -4*k**4 + 37*k**3 + 64*k**2 + 23*k - 8. Let j(q) = -8*i(q) + 5*n(q). Solve j(d) = 0 for d.
-1, -1/4, 0, 5
Let a = 6/61 + 226/183. Factor -20/3*m - a - 7/3*m**3 - 23/3*m**2.
-(m + 1)*(m + 2)*(7*m + 2)/3
Determine b so that -2*b**2 + 0*b + b**2 + 3*b = 0.
0, 3
Let s(w) be the third derivative of -w**8/90720 + w**5/20 + 5*w**2. Let a(y) be the third derivative of s(y). Find j, given that a(j) = 0.
0
Let c be (-16)/4 - 14/(-2). Factor -4*q**2 - 12*q**3 + 2*q**5 + 5*q**3 + q**c.
2*q**2*(q - 2)*(q + 1)**2
Let i be (-1)/2*(-32)/4. Suppose -k - 15 = -i*k. Solve -5/2*b**4 + 3*b**k + 0 + 1/2*b**2 + 0*b - b**3 = 0 for b.
-1/2, 0, 1/3, 1
Let q(t) be the first derivative of 2/7*t**2 + 1/14*t**4 - 2/7*t**3 + 0*t + 6. Let q(g) = 0. Calculate g.
0, 1, 2
Let o(a) = 4*a**4 + 8*a**3 + 7*a**2 - 3. Let l(j) = j**4 + j**3 - j - 1. Let b(k) = 3*l(k) - o(k). Solve b(w) = 0.
-3, -1, 0
Let z be (-2*5/25)/((-1)/5). Let -2/11*r**z - 2/11*r + 0 = 0. What is r?
-1, 0
Let x(q) = 5*q**2 - 10*q - 25. Let s(n) = 3*n**2 - 5*n - 12. Let v(f) = 5*s(f) - 2*x(f). Find a, given that v(a) = 0.
-1, 2
Let d(h) be the third derivative of -h**8/20160 + h**7/1260 - h**6/180 + h**5/45 + h**4/6 + 8*h**2. Let p(t) be the second derivative of d(t). Factor p(m).
-(m - 2)**3/3
Let f(w) be the first derivative of -2*w**5/25 + 7*w**4/20 - 7*w**3/15 + w**2/5 - 3. Let f(m) = 0. What is m?
0, 1/2, 1, 2
Let s(x) be the third derivative of x**7/84 + 11*x**6/120 + 11*x**5/40 + 5*x**4/12 + x**3/3 - 17*x**2. Determine m so that s(m) = 0.
-2, -1, -2/5
Let d(f) be the first derivative of 2*f**3/3 + 6. Suppose d(b) = 0. Calculate b.
0
Let n be 5 + 3 + -1*3. Suppose -26 = -n*t + 2*p, -2*t - 2*t - 2*p = -10. What is d in -8/7*d - 2/7*d**t - 2/7 - 8/7*d**3 - 12/7*d**2 = 0?
-1
Let z be (-13)/((-455)/(-10)) - 39/(-63). Determine u, given that -4/3*u**2 + 5/3*u - 2/3 + z*u**3 = 0.
1, 2
Let f(n) = 5*n**4 + 60*n**3 + 80*n**2 + 60*n + 15. Let q(g) = 2*g**4 + 20*g**3 + 27*g**2 + 20*g + 5. Let b(h) = 3*f(h) - 10*q(h). Solve b(j) = 0 for j.
-1
Let q(p) = p**3 + p**2 - 7*p - 10. Let x be q(-4). Let g be ((-1)/21)/(5/x). Find i, given that 0*i - g*i**2 + 0 - 2/7*i**3 = 0.
-1, 0
Let l(w) be the third derivative of w**6/540 - w**4/108 - 16*w**2. Factor l(q).
2*q*(q - 1)*(q + 1)/9
Let r(f) be the first derivative of f**9/9072 - f**8/5040 - f**7/2520 + f**6/1080 - 4*f**3/3 + 4. Let l(q) be the third derivative of r(q). Factor l(h).
h**2*(h - 1)**2*(h + 1)/3
Let b(a) be the third derivative of a**6/72 + a**5/6 + 55*a**4/72 + 5*a**3/3 + 3*a**2. Factor b(l).
5*(l + 1)*(l + 2)*(l + 3)/3
Let w be 30/8 + 33/(-44). Find j such that w*j**4 - 6*j**2 - 3*j**5 - 2*j + 0*j**5 + 3*j**4 + 5*j = 0.
-1, 0, 1
Let o(f) = 5*f - 12. Let h be o(3). Factor 0*j**2 + 2/3*j**h + 0 - 2/3*j.
2*j*(j - 1)*(j + 1)/3
Let i be 1/(-4) - 3/(-12). Factor i*m - 2*m - m**3 + 3*m.
-m*(m - 1)*(m + 1)
Let c = -34 + 34. Let v(o) be the third derivative of 1/15*o**6 - 7/30*o**5 + c*o - 2*o**2 + 1/6*o**4 + 1/3*o**3 + 0. Suppose v(h) = 0. What is h?
-1/4, 1
Factor -98/11 - 2/11*y**2 + 28/11*y.
-2*(y - 7)**2/11
Let r = -100 - -100. Solve 2/7*i**2 + 0*i + 2/7*i**4 + r + 4/7*i**3 = 0 for i.
-1, 0
Let t(j) be the third derivative of -j**9/332640 - j**8/110880 + j**5/30 + 2*j**2. Let r(h) be the third derivative of t(h). Determine k, given that r(k) = 0.
-1, 0
What is i in 8/23 + 26/23*i**2 + 2/23*i**4 + 24/23*i + 12/23*i**3 = 0?
-2, -1
Factor -2*r**2 - 2*r - 2/3*r**3 - 2/3.
-2*(r + 1)**3/3
Let n = 7 - 5. Let w = n - -1. Find r such that -3 + w*r**3 - 2*r**2 + 1 + 2 = 0.
0, 2/3
Suppose 3*h - 8*h + 25 = 0. Let m(n) be the first derivative of 2/15*n**h + 0*n + 0*n**4 - 2/9*n**3 - 1/6*n**2 + 1/18*n**6 - 2. Factor m(r).
r*(r - 1)*(r + 1)**3/3
Let s(b) be the first derivative of -b**3/5 - 3*b**2/10 + 6*b/5 + 11. Factor s(x).
-3*(x - 1)*(x + 2)/5
Suppose 2*m = 13*m. Factor 2/3*w**3 + m + 0*w + 0*w**2.
2*w**3/3
Suppose -11 = -3*j - 5. Solve -2/13*b - 4/13*b**j - 2/13*b**3 + 0 = 0.
-1, 0
Let g(s) = -s**3 + 2*s**2 + 3*s - 2. Let t be g(2). Let v(c) be the third derivative of 0*c**3 + c**2 + 0*c**t + 1/150*c**5 + 0 + 1/300*c**6 + 0*c. Factor v(p).
2*p**2*(p + 1)/5
Let z(i) be the third derivative of 5*i**8/336 - i**7/14 + i**6/24 + i**5/4 - 5*i**4/12 - 10*i**2. Factor z(b).
5*b*(b - 2)*(b - 1)**2*(b + 1)
Let z be -1 + 5*(-1 + 0). Let q be (8/z)/(6/(-9)). Find u, given that -u - 3*u**2 - 4 + 2 + u**3 + 5*u**q = 0.
-2, -1, 1
Let z(f) be the second derivative of -2*f + 7/6*f**3 - f**2 + 0 - 1/4*f**4. Factor z(v).
-(v - 2)*(3*v - 1)
Let u = -5 - -8. Factor 4*i**4 - i**3 - 2*i**5 - 3*i**4 - i**2 + u*i**5.
i**2*(i - 1)*(i + 1)**2
Let u = -4 + 10. Let c = -2 - -4. Find x such that -4*x**2 - c + u*x**2 + 2 = 0.
0
Factor -2/7*f**2 + 12/7 - 2/7*f.
-2*(f - 2)*(f + 3)/7
Let l(m) be the second derivative of -4*m**2 + 1/5*m**5 + 0*m**4 + 0 - 6*m - 2*m**3. Factor l(z).
4*(z - 2)*(z + 1)**2
Let u(s) be the second derivative of s**4/54 + 8*s**3/27 + 16*s**2/9 - 5*s. Factor u(c).
2*(c + 4)**2/9
Let y(x) be the second derivative of x**4/54 + 4*x**3/27 + x**2/3 + 11*x. Factor y(n).
2*(n + 1)*(n + 3)/9
Let d = 9 + -9. Let x(p) be the third derivative of 2/75*p**6 - 1/30*p**4 - 1/105*p**7 + 0 + 0*p + 2*p**2 + d*p**3 - 1/150*p**5. Factor x(m).
-2*m*(m - 1)**2*(5*m + 2)/5
Let x(r) = -r**2 - 5. Let t be -3 - (1 - (3 + -2)). Let u(z) be the first derivative of 4*z**3/3 + 24*z - 1. Let s(k) = t*u(k) - 14*x(k). Factor s(m).
2*(m - 1)*(m + 1)
Let f(h) = 26*h - 231. Let c be f(9). Factor 2/3 - 1/3*u**c + 1/3*u + 1/3*u**4 - u**2.
(u - 2)*(u - 1)*(u + 1)**2/3
Solve 65*i - 6 - 41*i - 6 - 4*i**2 - 8 = 0.
1, 5
Suppose 13 + 7 = 4*i. Factor 10*y - 17*y - y**2 + i*y.
-y*(y + 2)
Let q(f) be the second derivative of f**4/16 + f**3/6 + f**2/8 - 7*f. Find s, given that q(s) = 0.
-1, -1/3
Let v(p) = p**3 + 2*p**2 - 3*p - 4. Let a(o) = -6*o**3 - 15*o**2 + 21*o + 27. Let j(t) = -4*a(t) - 27*v(t). Let j(q) = 0. Calculate q.
0, 1
Let g(q) = -5*q**2 + 4*q - 1. Let h(k) = 11*k**2 - 7*k + 1. Let n(s) = -3*s + 7. Let l be n(4). Let z(m) = l*g(m) - 2*h(m). Factor z(w).
3*(w - 1)**2
Let v(r) be the first derivative of 324*r**5/5 + 45*r**4 - 128*r**3/3 + 8*r**2 - 8. Factor v(b).
4*b*(b + 1)*(9*b - 2)**2
Let n(v) = v - 3. Let c be n(5). Factor b - 4*b + c*b - b**3 - b**2 + b**4 + 2*b**3.
b*(b - 1)*(b + 1)**2
Let k(v) = 2*v**4 - 2*v**3 - 4*v**2 + 2*v. Let j(z) = z. Let a(f) = 4*j(f) - 2*k(f). Determine g, given that a(g) = 0.
-1, 0, 2
Let h(q) be the second derivative of 1/36*q**4 - 1/6*q**3 + 2*q + 0 + 1/3*q**2. Factor h(n).
(n - 2)*(n - 1)/3
Let a(i) be the second derivative of i**6/75 - 2*i**5/25 + 2*i**4/15 + 10*i. Find r, given that a(r) = 0.
0, 2
Let r(x) be the first derivative of x**7/105 - x**5/30 + 5*x**2/2 - 4. Let c(m) be the second derivative of r(m). Let c(z) = 0. What is z?
-1, 0, 1
Let v(a) be the third derivative of a**7/420 + a**6/80 + a**5/120 - 4*a**3/3 - 2*a**2. Let w(c) be the first derivative of v(c). Determine q so that w(q) = 0.
-2, -1/4, 0
Let o = -509 + 25451/50. Let f(s) be the second derivative of o*s**5 + 