
-2*z**2*(z - 1)*(z + 2)
Let j be 2 - (2 + (-2 - 1)). Let v(f) be the first derivative of 1 + 0 - 2*f**3 - f**2 + 2*f**4 - j*f**4 + 3*f**4. Find y, given that v(y) = 0.
-1/4, 0, 1
Let i(b) be the second derivative of b**7/21 - 4*b**6/15 + b**5/2 - b**4/3 + 4*b. Let i(r) = 0. What is r?
0, 1, 2
Factor 1/3*m**3 - m**2 + 2/3 - 1/3*m + 1/3*m**4.
(m - 1)**2*(m + 1)*(m + 2)/3
Let f(u) = u**3 - 6*u**2 + 5*u + 3. Let h be f(5). Suppose 4 + 2*i**h + 10*i - 12*i**2 + 11*i**2 + 9*i**2 = 0. Calculate i.
-2, -1
Factor 1/2*m**2 + 0*m + 0.
m**2/2
Let y(u) be the second derivative of 2*u**7/21 - 7*u**5/5 - 2*u**4/3 + 8*u**3 + 16*u**2 - 9*u. What is n in y(n) = 0?
-2, -1, 2
Let c(i) = 4*i**4 - 3*i**3 - i**2 - 3. Let t(r) = -r**4 + r**3 + 1. Let n(w) = 5*c(w) + 15*t(w). Determine d so that n(d) = 0.
-1, 0, 1
Let s(n) = n**2 + 3*n - 5. Let x be s(-4). Let m = x - -4. Determine k, given that -4/3*k**4 + 0*k**2 + 2*k**5 + 0*k + 0*k**m + 0 = 0.
0, 2/3
Let z(d) = d**2 - d. Let i(c) = 3*c**2 - c + 1. Let r(m) = 4*i(m) - 7*z(m). Let l(o) = 6*o**2 + 3*o + 5. Let h(x) = -4*l(x) + 5*r(x). Solve h(a) = 0 for a.
-3, 0
Let j(h) be the first derivative of 9*h**5/25 + 3*h**4/10 + h**3/15 - 29. Factor j(c).
c**2*(3*c + 1)**2/5
Suppose -7 = 5*a - 17. Suppose 0 = -a*f - 3*f. Factor -1/3*t**3 + f + 0*t**2 + 2/3*t**4 - 1/3*t**5 + 0*t.
-t**3*(t - 1)**2/3
Let t be (-70)/(-30) + ((-10)/(-6) - 2). Let -1/2*u**3 + t*u**2 - 2*u + 0 = 0. Calculate u.
0, 2
Let z(d) be the second derivative of 0 - 1/30*d**6 + 0*d**3 - 4*d - 1/12*d**4 + 0*d**2 - 1/10*d**5. Factor z(q).
-q**2*(q + 1)**2
Let j(b) be the first derivative of b**4/2 + 9. Find w, given that j(w) = 0.
0
Factor 2/11 + 0*h**3 - 4/11*h**2 + 0*h + 2/11*h**4.
2*(h - 1)**2*(h + 1)**2/11
Let z(v) be the second derivative of v**6/165 + 3*v**5/110 + v**4/33 - 4*v. Factor z(u).
2*u**2*(u + 1)*(u + 2)/11
Let b = 3 - 4. Let i(r) = 0*r**3 - 1 + 0*r**5 - r**5 + r + r**3. Let n(p) = -5*p**5 + 8*p**4 - 9*p**3 + 8*p**2 + p - 3. Let l(m) = b*n(m) + 3*i(m). Factor l(u).
2*u*(u - 1)**4
Let a(k) be the first derivative of k**6/3 - 8*k**5/5 + 2*k**4 + 4*k**3/3 - 5*k**2 + 4*k + 5. Factor a(j).
2*(j - 2)*(j - 1)**3*(j + 1)
Let w(z) = -z**3 + 5*z**2 - 10*z + 15. Let o be w(3). Determine f so that -1/2*f**2 + 1/2*f**4 - 1/2*f**5 + 5/2*f**o - 2 - 4*f = 0.
-1, 2
Let j = -8/17 + 49/68. Let v(s) be the first derivative of 2 - 2/3*s + 1/2*s**2 + 2/9*s**3 - j*s**4. Factor v(n).
-(n - 1)*(n + 1)*(3*n - 2)/3
Let w(g) be the second derivative of 0*g**4 + 0*g**2 + 0*g**3 - 1/60*g**6 + 0 + 1/84*g**7 - 3*g + 0*g**5. Factor w(v).
v**4*(v - 1)/2
Let j(g) be the second derivative of -g**7/420 - 7*g**6/720 + g**5/120 - g**3/2 - 3*g. Let u(m) be the second derivative of j(m). Find a, given that u(a) = 0.
-2, 0, 1/4
Let g = 11 + -8. Let 3*a**5 + 0*a**g - 2*a**4 + 3*a**3 - a**3 + 2*a**2 - 5*a**5 = 0. What is a?
-1, 0, 1
Solve -5*y**5 - 12*y - 80*y**2 - 8*y - 115*y**3 - 80*y**4 - 10*y**5 + 10*y**4 = 0.
-2, -1, -2/3, 0
Let k = 71 + -67. Let t(i) be the third derivative of 0 + i**2 + 0*i + 1/110*i**5 - 1/660*i**6 - 1/44*i**k + 1/33*i**3. Factor t(s).
-2*(s - 1)**3/11
Let q(c) be the third derivative of 0 + 0*c - 3/20*c**5 + 0*c**4 + 1/2*c**3 + 4*c**2 + 1/20*c**6. Factor q(t).
3*(t - 1)**2*(2*t + 1)
Let v be 1 + -1 + 12 + -5. Suppose -5*d - 11 - 10 = -4*a, -2*a = d - v. Factor 1/6*n**a + 0*n - 1/6*n**5 + 0 - 1/6*n**2 + 1/6*n**3.
-n**2*(n - 1)**2*(n + 1)/6
Suppose 5*v + 0*v + 5*m = 10, 0 = -m. Find s such that 3*s**3 - v*s**3 + s**3 = 0.
0
Let g(t) = 2*t**3 - 2*t**2 + 4*t - 1. Let x(r) = -9*r**3 + 9*r**2 - 17*r + 4. Let p(s) = -26*g(s) - 6*x(s). Suppose p(v) = 0. What is v?
-1, 1
Let b be (-2)/6 + (-1473)/(-18). Let v = 83 - b. Determine o, given that 1/2*o + 1/2*o**4 - 1/2*o**3 - v*o**2 + 1 = 0.
-1, 1, 2
Let v = 675/868 - 6/217. Find h, given that -3/4*h + 0 - v*h**4 + 3/4*h**3 + 3/4*h**2 = 0.
-1, 0, 1
Let f(m) be the second derivative of m**4/24 - m**3/3 - 3*m + 9. Determine h so that f(h) = 0.
0, 4
Let n(g) be the second derivative of -g**5/60 - g**4/8 - g**3/3 - 2*g**2 + 4*g. Let u(c) be the first derivative of n(c). Determine o, given that u(o) = 0.
-2, -1
Factor 2*n**2 - 21/4*n - 1/4*n**3 + 9/2.
-(n - 3)**2*(n - 2)/4
Find a such that 1 + 2*a**3 + a**4 - 12*a + 3*a - 2*a**4 + 7*a = 0.
-1, 1
Let u(h) be the third derivative of h**5/60 - h**4/6 + 11*h**2. Suppose u(v) = 0. Calculate v.
0, 4
Find o such that 5*o + 1/2*o**2 + 25/2 = 0.
-5
Let u(i) = 2*i + 6. Let x be u(-2). Let m(z) be the second derivative of 0 + z - 1/12*z**4 - 1/6*z**3 + z**x. Suppose m(l) = 0. What is l?
-2, 1
Let n(v) = -v**2 - 1. Let w(l) = -7*l**3 + 5*l**2 + 7. Let h(q) = -14*n(q) - 2*w(q). Factor h(a).
2*a**2*(7*a + 2)
Let x(u) be the third derivative of -u**6/150 + u**5/25 - u**4/15 - 3*u**2. Factor x(d).
-4*d*(d - 2)*(d - 1)/5
Let o be -9 + 15 - (0 - 0). Let j be (-4 - (-22)/o) + 1. Factor j*t**2 - 4/3*t + 2/3.
2*(t - 1)**2/3
Suppose -5*l = -2*l. Suppose u - 3*u = l. Find n, given that 1/2*n**2 + 0 + u*n = 0.
0
Solve -1/5 - 1/5*q**4 + 2/5*q**2 + 0*q**3 + 0*q = 0.
-1, 1
Let m(l) be the second derivative of -l**6/30 + l**5/20 + l**4/12 - 2*l. Let d(t) = 2*t**5 + 12*t**4 - 4*t**2. Let y(a) = -d(a) - 6*m(a). Factor y(i).
-2*i**2*(i + 1)**3
Let g(p) be the second derivative of -p**8/2240 - p**7/840 - p**4/2 - 6*p. Let z(x) be the third derivative of g(x). Factor z(b).
-3*b**2*(b + 1)
Let p(n) be the third derivative of n**6/30 - n**5/30 - n**4/6 + n**3/3 + 17*n**2. Solve p(o) = 0.
-1, 1/2, 1
Let b(x) be the second derivative of -109/5*x**5 - 8/3*x**3 + 0 - 12*x**4 - 84/5*x**6 + 6*x + 0*x**2 - 14/3*x**7. Factor b(p).
-4*p*(p + 1)**2*(7*p + 2)**2
Suppose 0 = -0*v + 4*v + 2*q + 144, -5*v - 5*q = 185. Let g = v - -35. Factor -1/3*u**3 + 0 + g*u + 0*u**2.
-u**3/3
Let x = 5 + -2. Suppose -3 = -k + x*b, 0*b - b = 1. Let a + 2*a**5 - 2*a**4 + 3*a**4 - 3*a**3 + k*a**3 - a**2 = 0. What is a?
-1, 0, 1/2, 1
Suppose j + 4*a = -12, -5*j = -4*a - 31 - 5. Let t(f) be the second derivative of -1/10*f**5 - 1/3*f**3 + 0*f**2 + f + 0 - 1/3*f**j. Factor t(m).
-2*m*(m + 1)**2
Let a = -71 - -71. What is x in 1/2*x**2 + 0*x + a = 0?
0
Let t(c) = -2*c**3 - 3*c**2 - c - 2. Let h be ((-36)/(-27))/(4/(-6)). Let w be t(h). Factor -2*x**3 - 2/3*x + 0 + 2*x**2 + 2/3*x**w.
2*x*(x - 1)**3/3
Let h(n) be the first derivative of n**6/540 + n**5/180 - 8*n**3/3 + 1. Let i(o) be the third derivative of h(o). Factor i(k).
2*k*(k + 1)/3
Let z(l) be the second derivative of 1/9*l**3 + 0 - 1/36*l**4 - l + 0*l**2. Factor z(j).
-j*(j - 2)/3
Let s(u) be the second derivative of u**4/42 + u**3/21 + 21*u. What is o in s(o) = 0?
-1, 0
Factor 2/17*o**2 + 8/17*o + 6/17.
2*(o + 1)*(o + 3)/17
Let w(s) be the third derivative of -s**7/3780 + s**5/540 - 5*s**3/6 + 5*s**2. Let l(r) be the first derivative of w(r). Factor l(u).
-2*u*(u - 1)*(u + 1)/9
Let o(w) = -4*w**2 + 4*w - 3. Suppose s - 2*s + 2*b - 3 = 0, 0 = -5*b. Let d(y) = 9*y**2 - 9*y + 7. Let h(r) = s*d(r) - 7*o(r). Factor h(k).
k*(k - 1)
Let z = -11 + 15. Suppose -2*d + b = -d - 3, -12 = 2*d + 4*b. Determine h, given that 9/5*h**3 + d - 9/5*h**z + 0*h - 3/5*h**2 + 3/5*h**5 = 0.
0, 1
Let q(h) = h**2 - 41*h - 242. Let r(o) = 42*o + 242. Let m(b) = -2*q(b) - 3*r(b). What is s in m(s) = 0?
-11
Let s = -10836/13 + 834. Find f such that 4/13 - 30/13*f**2 - s*f - 30/13*f**4 + 62/13*f**3 = 0.
-1/3, 2/5, 1
Let h be 3/6*(-2)/(-3). Let v(m) be the first derivative of 1/12*m**4 + h*m + 1 + 1/3*m**3 + 1/2*m**2. Factor v(x).
(x + 1)**3/3
Suppose -28/3 - 52/3*g + 4/3*g**3 - 20/3*g**2 = 0. Calculate g.
-1, 7
Let g(w) be the third derivative of w**6/480 - w**5/60 + w**4/24 - 50*w**2. Determine i, given that g(i) = 0.
0, 2
Let r(b) = 16*b**2 - 7*b. Let n(w) = 7*w**2 - 3*w. Let g(s) = 7*n(s) - 3*r(s). Determine y so that g(y) = 0.
0
Let o = -1 - 5. Let w = o - -8. Factor k**2 + 0 + 1 - 2*k**w.
-(k - 1)*(k + 1)
Let c(a) be the second derivative of -a**6/15 + 2*a**5/5 - 2*a**4/3 + a. Let c(w) = 0. What is w?
0, 2
Determine z, given that -2/3*z + 0 + 2/9*z**2 = 0.
0, 3
Let o(z) be the third derivative of -z**5/96 + z**4/96 - 45*z**2. Let o(q) = 0. Calculate q.
0, 2/5
Let x(p) be the first derivative of -2*p**4 - 10*p**3/3 + 4*p**2 - 2*p + 3. Let g(q) = 15*q**3 + 19*q**2 - 15*q + 3. Let s(w) = -6*g(w) - 11*x(w). Factor 