**2 - h + q*h + 5*h**2 - 4*h.
h*(h - 1)
Suppose 0 = 2*s - 6*s. Let x = s - -2. Factor f**2 + 0 + 2 - f + f**x - 3*f.
2*(f - 1)**2
Suppose 1/2*m**2 - 2*m**4 + 0*m + 3/2*m**3 + 0 = 0. Calculate m.
-1/4, 0, 1
Let u(l) be the third derivative of l**8/1344 - l**6/240 + l**4/96 - 7*l**2. Solve u(h) = 0.
-1, 0, 1
Let c(a) = a**3 - 4*a**2 + a + 1. Let y be c(4). Let k be ((-2)/(-9))/((-3)/(-27)). Factor -3/2*w**4 - 1/2*w**y + w**k + 1/2 - w**3 + 3/2*w.
-(w - 1)*(w + 1)**4/2
Suppose 5*o = -11 - 4. Let i be (o/1)/((-9)/12). Factor -4*l - 4 + 29*l**i - 26*l**4 + 33*l**2 + 74*l**3 + 32*l**4 + 6*l**2.
(l + 1)**2*(5*l + 2)*(7*l - 2)
Let c(q) = -9*q**5 - 3*q**4 + 3*q**3 - 3*q**2 - 6*q - 6. Let j(f) = f**5 + f**2 + f + 1. Let o(b) = c(b) + 6*j(b). Factor o(t).
-3*t**2*(t - 1)*(t + 1)**2
Let l(t) be the second derivative of t**6/180 + t**5/20 - t**3/6 + 2*t. Let d(u) be the second derivative of l(u). Suppose d(r) = 0. Calculate r.
-3, 0
Let q(v) be the second derivative of 0*v**2 - 1/6*v**4 + 1/20*v**5 + 0 + 1/6*v**3 + 2*v. Suppose q(s) = 0. What is s?
0, 1
Let w(y) = -y**2 + 6*y + 4. Let f(p) = -20*p + 3*p**2 + 28 - 11*p**2 + 62*p. Let x(i) = -6*f(i) + 44*w(i). Determine z, given that x(z) = 0.
-2, -1
Let 0*b**2 - 2/11*b**4 + 0*b + 0*b**3 + 0 = 0. What is b?
0
Solve 2/7*m**2 + 10/7*m + 8/7 = 0 for m.
-4, -1
Suppose 2/9*q**4 - 8/9*q + 4/9*q**3 - 2/3*q**2 + 8/9 = 0. What is q?
-2, 1
Let o(r) be the first derivative of 12*r**5/5 - 3*r**4/4 - 16*r**3 + 6*r**2 + 61. Factor o(d).
3*d*(d - 2)*(d + 2)*(4*d - 1)
Let f(a) be the second derivative of -3/2*a**2 - 7/8*a**4 - 4*a + 0 + 9/4*a**3. Factor f(c).
-3*(c - 1)*(7*c - 2)/2
Let t = -811/58 - 15/29. Let z = t + 95/6. Factor -2/3*d**4 + 0 + 0*d - 2/3*d**2 - z*d**3.
-2*d**2*(d + 1)**2/3
Let v(w) be the third derivative of 0 + 0*w + 1/160*w**6 + 6*w**2 + 1/12*w**3 + 7/96*w**4 + 1/30*w**5. Factor v(n).
(n + 1)**2*(3*n + 2)/4
Let t be -3 + 5 + 73/(-3). Let p = -22 - t. Factor 1/3*s**3 + 0*s**2 - p*s**4 + 0*s + 0.
-s**3*(s - 1)/3
Let h(r) = -2*r + 1. Let y be h(1). Let a be -4 - -1*6 - y. Factor 2/3*i**a + 0 + 2/3*i - 4/3*i**2.
2*i*(i - 1)**2/3
Let z(a) be the second derivative of 0*a**4 - 2*a + 0 + 1/60*a**6 - 1/6*a**3 + 1/90*a**5 + 0*a**2. Let f(g) be the second derivative of z(g). Factor f(p).
2*p*(9*p + 2)/3
Let u be -21 - 4/(16/(-6)). Let r = -19 - u. Let -r + 3/2*n**2 + n = 0. What is n?
-1, 1/3
Solve -2/5*k + 2/5*k**3 + 4/5 + 2/5*k**4 - 6/5*k**2 = 0.
-2, -1, 1
Let c be -1*(-2 - 4/2). Let a be 3/(-6) + (-1)/(-2). Solve 2/3*q**2 - 2/3*q**c - 2/3*q**3 + 2/3*q + a = 0.
-1, 0, 1
Let g(l) be the first derivative of -5/6*l**2 + 2/3*l - 2 + 2/9*l**3. Factor g(n).
(n - 2)*(2*n - 1)/3
Factor -7/6*p**3 - 3*p**2 - 1/6*p**4 - 10/3*p - 4/3.
-(p + 1)*(p + 2)**3/6
Let t(p) be the third derivative of 1/660*p**6 + 0 - 1/1848*p**8 + 0*p - 4*p**2 + 0*p**4 + 0*p**5 + 0*p**3 + 0*p**7. Determine a so that t(a) = 0.
-1, 0, 1
Solve 2/9*n**4 + 0 + 8/9*n + 4/9*n**3 - 14/9*n**2 = 0.
-4, 0, 1
Suppose 2*h + w = -3*h - 4, -2*w = -3*h + 8. Suppose 8 + 0 = 4*b. Determine z so that -1/4*z**3 - 1/4*z**4 + h + 0*z**b + 0*z = 0.
-1, 0
Let x(n) be the first derivative of 1/3*n**6 + 1/3*n**2 - 2/3*n**4 + 0*n - 3 + 4/15*n**5 - 4/9*n**3. Let x(d) = 0. What is d?
-1, 0, 1/3, 1
Let i(s) be the first derivative of 2*s**5/15 + s**4/3 - 2*s**3/9 - 2*s**2/3 + 7. Factor i(d).
2*d*(d - 1)*(d + 1)*(d + 2)/3
Let p(k) be the first derivative of k**3/3 + 3*k**2 + 9*k + 6. Determine c, given that p(c) = 0.
-3
Let s = 7 + -5. Factor 2 - 2*d**2 + s*d**3 - 2.
2*d**2*(d - 1)
Let r(k) be the third derivative of -k**8/420 - k**7/70 - k**6/45 - 3*k**3/2 + 10*k**2. Let j(q) be the first derivative of r(q). Let j(c) = 0. What is c?
-2, -1, 0
Let q = 4 + -2. Suppose 2*f = -q*f + 16. Let 0*n**2 + 0 + 0*n - 2/11*n**5 + 0*n**3 + 2/11*n**f = 0. Calculate n.
0, 1
Let b(u) = u**2 - 2. Let w be b(-2). Let h = -68 + 211/3. Find m such that h*m**4 - 2/3*m**w + 0 + 5/3*m**3 + 0*m = 0.
-1, 0, 2/7
Suppose -v + 3*v - 5*i - 36 = 0, v - 28 = 5*i. Let g be (-91)/(-28) - 2/v. Solve 0*d + 0 - 18/5*d**g + 4/5*d**2 = 0 for d.
0, 2/9
Factor 0 + 2/7*z**5 + 4/7*z**4 + 0*z**3 - 4/7*z**2 - 2/7*z.
2*z*(z - 1)*(z + 1)**3/7
Let y(i) be the first derivative of -i - 3 + 1/15*i**3 + 0*i**2 - 1/15*i**4. Let f(t) be the first derivative of y(t). Let f(k) = 0. What is k?
0, 1/2
Let t(x) = x**2 - 8*x + 9. Let c be t(7). Let m = c - 0. Let 0 - 1/4*l**m - 1/4*l = 0. What is l?
-1, 0
Let n(a) be the third derivative of a**6/160 + 3*a**5/80 + 3*a**4/32 + a**3/8 + 21*a**2. Find m such that n(m) = 0.
-1
Let n(q) be the second derivative of 2/3*q**2 + 5/36*q**4 + 0 + 1/60*q**5 + 4/9*q**3 + q. Solve n(c) = 0.
-2, -1
Let j(a) = 2*a**3 - 2*a. Let m(p) = p**3 - p. Let o(u) = -2*j(u) + 3*m(u). Determine d, given that o(d) = 0.
-1, 0, 1
Let x(h) be the first derivative of 1/12*h**3 + 3*h + 1/8*h**2 + 1/48*h**4 - 2. Let a(g) be the first derivative of x(g). Factor a(b).
(b + 1)**2/4
Let h(i) be the first derivative of i**6/90 - i**5/30 - i**4/36 + i**3/9 - i - 3. Let q(a) be the first derivative of h(a). Factor q(l).
l*(l - 2)*(l - 1)*(l + 1)/3
Let q(z) be the second derivative of -z**4/18 - z**3/9 - 9*z. Find j, given that q(j) = 0.
-1, 0
What is d in 4*d**3 - 4*d**4 + 0*d**4 + 68*d**2 - 60*d**2 = 0?
-1, 0, 2
Let x be 2*1 + 2 + (-102)/27. Factor -2/9*i**2 - x - 4/9*i.
-2*(i + 1)**2/9
Let t = 1450/7 - 207. Suppose t*s - 1/7*s**3 + 1/7*s**2 + 0 - 1/7*s**4 = 0. What is s?
-1, 0, 1
Let y(v) be the first derivative of -v**7/840 + v**6/360 + v**5/60 - v**3 - 2. Let f(r) be the third derivative of y(r). Factor f(d).
-d*(d - 2)*(d + 1)
Let d = -9 - -12. Let a = d - 1. Find g, given that 4/3*g**3 - 4/3*g + 2/3*g**4 - 2/3 + 0*g**a = 0.
-1, 1
Determine c so that -2/19*c**2 - 2/19 - 4/19*c = 0.
-1
Let g be (-298)/120 + 1 - (-18)/12. Let s(w) be the third derivative of -1/3*w**3 + 1/12*w**4 + 2*w**2 - g*w**6 + 1/30*w**5 + 0*w + 0. Solve s(a) = 0 for a.
-1, 1
Let m(g) be the third derivative of g**8/3360 - g**7/420 + g**5/15 - g**4/8 - 3*g**2. Let u(r) be the second derivative of m(r). Suppose u(o) = 0. What is o?
-1, 2
Let f(n) = -n**3 - 6*n**2 - 16*n - 12. Let g(x) = x + 1. Let w(j) = f(j) + 4*g(j). Suppose w(z) = 0. Calculate z.
-2
Factor 0 + 0*t - 1/4*t**4 + t**2 + 0*t**3.
-t**2*(t - 2)*(t + 2)/4
Let x(u) be the second derivative of 0 + 1/24*u**4 + 5*u + 0*u**2 + 1/12*u**3. Suppose x(a) = 0. Calculate a.
-1, 0
Let j be -1 + 5/1 + 0. Let x(h) be the second derivative of 0 + 1/4*h**3 - 2*h - 1/4*h**2 + 1/40*h**5 - 1/8*h**j. Determine r so that x(r) = 0.
1
Let v = 12 - 71/6. Let m(l) be the first derivative of -1/12*l**4 - 2 + 0*l + 1/15*l**5 - 1/9*l**3 + v*l**2. Factor m(y).
y*(y - 1)**2*(y + 1)/3
Let n(j) = -2*j**2 + 5*j - 3. Let m(l) = 5*l - 6 + 2 - 2*l**2 - 2*l**2 + 3*l**2. Let o(x) = -5*m(x) + 6*n(x). Suppose o(g) = 0. Calculate g.
-2/7, 1
Let k(r) be the second derivative of r**6/60 + r**5/8 + r**4/3 + r**3/3 + 8*r. Find n, given that k(n) = 0.
-2, -1, 0
Let n(p) be the second derivative of p**10/30240 + p**9/15120 - p**8/6720 - p**7/2520 - 5*p**4/12 - 3*p. Let g(b) be the third derivative of n(b). Factor g(k).
k**2*(k - 1)*(k + 1)**2
Factor 243/8*h + 729/8 + 27/8*h**2 + 1/8*h**3.
(h + 9)**3/8
Factor -5/2*a + 0 + 2*a**2 + 1/2*a**3.
a*(a - 1)*(a + 5)/2
Let p(f) = 4*f**4 + 4*f**3 - 8*f**2 - 4*f. Let l(k) = 4*k**4 + 4*k**3 - 8*k**2 - 3*k. Let h(i) = 4*l(i) - 3*p(i). Determine j so that h(j) = 0.
-2, 0, 1
Let o(v) be the first derivative of 2*v - 1 - 1/2*v**2 - 1/3*v**3. Let o(d) = 0. What is d?
-2, 1
Let p(t) be the first derivative of -1/6*t**4 + 2/9*t**3 + 0*t + 0*t**2 + 8. Suppose p(u) = 0. Calculate u.
0, 1
Suppose 25*g - 48 = 9*g. Let d(r) be the first derivative of 24*r**4 + 9*r**2 + 24*r**g + 1 + 3/2*r. Factor d(t).
3*(4*t + 1)**3/2
Let s(g) = -g + 1. Suppose -3*o - 10 = 2*o. Let n be s(o). Determine z so that 2*z**5 + 2*z**2 + n*z**2 - 3*z**2 - 2*z**4 - 2*z**3 = 0.
-1, 0, 1
Suppose -3*k = k + b - 19, -3*b - 7 = -4*k. Let p(h) be the second derivative of 0*h**3 - 1/90*h**5 + 1/135*h**6 + h + 0*h**2 + 0 + 0*h**k. Factor p(j).
2*j**3*(j - 1)/9
Let t(l) be the second derivative of l**4/54 + 4*l**3/27 + 4*l**2/9 - 3*l. Let t(b) = 0. Calculate b.
-2
Let f(v) be the second derivative of v**4/4 - v**3/2 - v. Factor f(n).
3*n*(n - 