
-2/9, 2
Let f(l) be the first derivative of l**5/330 - l**4/66 + l**2 - 1. Let u(c) be the second derivative of f(c). Factor u(r).
2*r*(r - 2)/11
Let x(z) be the second derivative of z**5/70 - z**4/7 + 4*z**3/7 - 8*z**2/7 + 3*z. Solve x(g) = 0.
2
Let o = 1799446 + -2405858934/1337. Let q = o + 2/191. Find z such that -2/7*z**3 + q*z + 0*z**2 + 0 = 0.
-1, 0, 1
Let h(u) be the third derivative of u**6/160 - u**5/20 + u**4/8 - 5*u**2. Factor h(t).
3*t*(t - 2)**2/4
Let i be -3 + 7/56 - -3 - -1. Factor -i + 1/4*l**3 + 11/8*l**2 + 3/2*l.
(l + 3)**2*(2*l - 1)/8
Let t = -1204/9 + 134. Determine i so that 0 + 2/9*i**3 - t*i - 2/9*i**4 + 2/9*i**2 = 0.
-1, 0, 1
Let g(c) = 15*c**3 + 207*c**2 + 177*c - 432. Let h(x) = -x**3 - 13*x**2 - 11*x + 27. Let n(o) = 2*g(o) + 33*h(o). Suppose n(q) = 0. Calculate q.
-3, 1
Let r(y) be the first derivative of 4*y**7/7 - 2*y**6/3 - y**5/5 + 2*y + 5. Let m(u) be the first derivative of r(u). Factor m(x).
4*x**3*(x - 1)*(6*x + 1)
Let i = -19/12 - -9/4. Factor 4/3*z**2 - 2/3 + 2/3*z**5 - 4/3*z**3 - 2/3*z**4 + i*z.
2*(z - 1)**3*(z + 1)**2/3
Let c(u) be the third derivative of u**6/480 + u**5/240 + 9*u**2. Suppose c(l) = 0. Calculate l.
-1, 0
Let y = -7 - -7. Suppose y*x + x + 2 = -g, 0 = -4*g - 20. Factor -5*k**x - 3*k + 4*k**3 + 3*k.
-k**3
Let k(w) = 34*w**2 + 4*w - 6. Let v(i) = -11*i**2 - i + 2. Let n(r) = r**2 + 4*r + 5. Let t be n(-4). Let l(j) = t*k(j) + 16*v(j). Factor l(g).
-2*(g - 1)*(3*g + 1)
Let m(j) be the first derivative of 1/2*j**4 - 1/2*j**2 + 2*j + 2/5*j**5 - 1/6*j**6 - 1 - 4/3*j**3. Factor m(d).
-(d - 2)*(d - 1)**2*(d + 1)**2
Factor -35 + 35 - 10*h - 5*h**2.
-5*h*(h + 2)
Let q be ((-4)/(-27))/(15/9 + -1). Factor 2/3*v - 4/9 + 0*v**2 - q*v**3.
-2*(v - 1)**2*(v + 2)/9
Find w, given that -6 - 18*w - 39/2*w**2 - 3/2*w**4 - 9*w**3 = 0.
-2, -1
Let t(k) be the first derivative of -k**6/18 + k**4/12 + 5. Factor t(z).
-z**3*(z - 1)*(z + 1)/3
Let m = -9 - -11. Factor -6/5*g + 2/5*g**m + 4/5.
2*(g - 2)*(g - 1)/5
Let p(i) be the second derivative of -i**7/168 + 11*i**6/120 - 7*i**5/16 + 25*i**4/48 - 39*i. Find t such that p(t) = 0.
0, 1, 5
Suppose -q + 3*x = 156, -x - 4*x = 3*q + 524. Let b be (2/(-8))/(15/q). Factor 4/5 + 2*y - b*y**2.
-2*(y - 1)*(7*y + 2)/5
Let t(x) be the second derivative of 1/21*x**3 - 2*x**2 + 0*x**4 - 1/210*x**5 + 0 - x. Let o(u) be the first derivative of t(u). Suppose o(f) = 0. What is f?
-1, 1
Factor -1/8 - 1/4*n - 1/8*n**2.
-(n + 1)**2/8
Factor -2/3*n**2 - 20/3*n - 50/3.
-2*(n + 5)**2/3
Suppose 4*c = f + 7 - 0, -4*f = -4. Find j such that -4*j**2 - 2*j**3 - c*j**3 + 3*j**2 + 3*j**3 = 0.
-1, 0
Factor -8/19*y + 2/19*y**2 + 6/19.
2*(y - 3)*(y - 1)/19
Let k(h) be the third derivative of h**5/20 - h**4/4 + h**3/2 + 3*h**2. Factor k(p).
3*(p - 1)**2
Let b(z) be the first derivative of -3 + 3/2*z**2 + 4*z - 2*z**3 + 3/4*z**4. Let s(a) be the first derivative of b(a). Factor s(x).
3*(x - 1)*(3*x - 1)
Factor -2*l**5 + l**5 - 2*l**3 + 3*l**5 + 0*l**3.
2*l**3*(l - 1)*(l + 1)
Let z(k) = -k + 12. Let t be z(9). Let s be 3 + 1/t*0. Let -2/9*a**s + 0 + 0*a + 0*a**2 = 0. What is a?
0
Let y(u) be the second derivative of -2*u**6/15 - 3*u**5/5 - u**4/3 + 2*u**3 + 4*u**2 + 9*u. Suppose y(g) = 0. What is g?
-2, -1, 1
Suppose 5*p - 7 = 3*j, -3*j - 1 = -p - 2. Suppose -p*c**2 + 3 + 2 - 5 + 4*c = 0. What is c?
0, 2
Let b(r) be the third derivative of -r**5/40 + r**4/8 - r**3/4 + 16*r**2 + r. Let b(f) = 0. What is f?
1
Determine x, given that 25*x**2 + x - 5*x**3 - 12*x**2 - 12*x + 3 = 0.
3/5, 1
Let n be (0 - -14)*1/(-2). Let s be (-2)/n*(-56)/(-3). Find p, given that -8/3*p - 44*p**2 + s - 42*p**3 = 0.
-2/3, 2/7
Find r such that 2/5*r + 1/5*r**2 + 1/5 = 0.
-1
Let m(f) = 3*f. Let z(c) = 2*c. Let u(r) = 3*m(r) - 4*z(r). Let t(l) = l**2 + 9*l + 4. Let d(g) = -t(g) + 5*u(g). Find w such that d(w) = 0.
-2
Let y(r) = -11*r**5 - 5*r**4 + 6*r**3 - 5*r. Let j(m) = -39*m**5 - 18*m**4 + 21*m**3 - 18*m. Let w(t) = -5*j(t) + 18*y(t). Factor w(i).
-3*i**3*(i - 1)*(i + 1)
Let o be -3 - 6/(-2) - -1. Let z be (1 + -1)/(-3 + o). Factor -2/3*s**3 + 0 + 0*s**2 + z*s - 4/3*s**4 - 2/3*s**5.
-2*s**3*(s + 1)**2/3
Let k(l) be the second derivative of 35*l**4/36 + 25*l**3/3 + 20*l**2/3 - 7*l. Factor k(i).
5*(i + 4)*(7*i + 2)/3
Let s(h) be the second derivative of -1/10*h**5 + 0 + 1/15*h**6 - h + 1/3*h**3 + 2*h**2 - 1/2*h**4. Let s(y) = 0. What is y?
-1, 1, 2
Suppose -9*h = -6*h - 9. Find z such that 2/5 + 4/5*z - 2/5*z**4 + 0*z**2 - 4/5*z**h = 0.
-1, 1
Let d(s) be the third derivative of s**6/360 + s**5/180 - s**4/18 - 2*s**3/9 + 9*s**2. Solve d(h) = 0 for h.
-2, -1, 2
Let f(s) = -s**3 + 7*s**2 - 6*s. Let i be f(6). Let u be (3 + i)/(-3) - -3. Find c such that -3*c**u + c + 4*c**2 - 2*c**2 = 0.
0, 1
Let c be ((-4)/(-35))/(82/(-5)). Let l = c + 584/1435. Factor -2/5*k**4 - 4/5*k**3 + l*k - 2/5 + 4/5*k**2 + 2/5*k**5.
2*(k - 1)**3*(k + 1)**2/5
Let a(c) be the first derivative of 2/9*c**3 - 2/15*c**5 - 1/3*c**2 + 1/6*c**4 - 1 + 0*c. What is j in a(j) = 0?
-1, 0, 1
Let k be -3 - 2/(-2)*11/3. Suppose 0 + 2/3*x**2 - k*x = 0. What is x?
0, 1
Let d(m) = -m**3 - 3*m**2 + 4*m + 3. Let u(a) = -a**2 + a - 4. Let b be u(0). Let t be d(b). Factor -3*s + 4*s**2 - 2*s - 1 + 2 + 1 - s**t.
-(s - 2)*(s - 1)**2
Suppose 2*v + 2*a + 2 = 4, -3*a + 27 = -5*v. Let i be -1 + 7 + -1 + v. Determine f so that 1/5*f**i + 0*f + 0 + 1/5*f**5 + 3/5*f**4 + 3/5*f**3 = 0.
-1, 0
Let n(i) be the third derivative of -i**7/5 + 41*i**6/150 + 2*i**5/75 - 2*i**4/15 - 2*i**2. Solve n(l) = 0 for l.
-2/7, 0, 2/5, 2/3
Suppose -4*f = f - 15. Factor -6 + 4*s + f*s**2 + 3*s**4 - 2*s - 9*s**3 + 7*s.
3*(s - 2)*(s - 1)**2*(s + 1)
Suppose -4*g = -5*t + 2*t - 7, 9 = -2*g - t. Let m be (1/(1/(-1)))/g. Let -f - m - 1/2*f**2 = 0. Calculate f.
-1
Factor 3/4*y**3 + 1/4*y**5 + 0 - 1/4*y**2 - 3/4*y**4 + 0*y.
y**2*(y - 1)**3/4
Factor -12*t**3 + 2 + 11*t**3 - t**2 + t - t**2.
-(t - 1)*(t + 1)*(t + 2)
Let v(a) = 18*a**2 + 3*a - 21. Let z(f) = -f**2 + 1. Let w(t) = -v(t) - 15*z(t). Determine c so that w(c) = 0.
-2, 1
Let c = 1633/3 + -543. Factor 0 + c*z - 4/3*z**4 + 4/3*z**2 - 4/3*z**3.
-4*z*(z - 1)*(z + 1)**2/3
Let x(m) = 3*m**5 - 3*m**4 + 4*m**3 - 4*m**2 - 2*m + 7. Let a = 7 + -6. Let k(d) = d**5 - d**4 + 1. Let p(v) = a*x(v) - 5*k(v). What is y in p(y) = 0?
-1, 1
Let a(j) be the third derivative of -j**6/8 + 2*j**5/3 - 35*j**4/24 + 5*j**3/3 - 2*j**2 + 2*j. Suppose a(x) = 0. Calculate x.
2/3, 1
Let w(a) be the first derivative of 2/9*a - 2/27*a**3 + 1/18*a**4 - 1/9*a**2 - 2. Find t such that w(t) = 0.
-1, 1
Let p(a) be the first derivative of -1 - a + 1/3*a**3 + 0*a**2. Let w(i) = i**2 - 4*i - 5. Let j(h) = -3*p(h) + w(h). Factor j(m).
-2*(m + 1)**2
Let c(y) be the first derivative of y**5/30 - y**4/24 - 5. Find q, given that c(q) = 0.
0, 1
Let y(z) be the second derivative of z**4/18 + z**3/3 - 13*z. Let y(h) = 0. Calculate h.
-3, 0
Suppose 5*p = 5*z - 10, 5*p + 3*z - 6*z + 6 = 0. Let t(x) = 8*x - 56. Let l be t(7). Factor l + 3/5*i**2 + p*i.
3*i**2/5
Suppose 0 = n - 4*o - 22, 8*n = 9*n - 3*o - 17. Suppose 1 - 5/2*d - 1/2*d**3 + n*d**2 = 0. What is d?
1, 2
Let g(p) be the second derivative of -1/10*p**3 - 1/5*p**4 - 1/70*p**7 + 0*p**2 - 2/25*p**6 + 0 - p - 9/50*p**5. Factor g(v).
-3*v*(v + 1)**4/5
Let r(y) be the second derivative of y**9/756 - y**8/560 - 2*y**7/105 - y**6/45 - 3*y**4/4 - y. Let x(c) be the third derivative of r(c). Factor x(k).
4*k*(k - 2)*(k + 1)*(5*k + 2)
Let l(i) be the second derivative of i**6/15 + i**5/10 - 11*i. Factor l(d).
2*d**3*(d + 1)
Let h(y) = -y**2 - 5*y - 7. Let d be h(-5). Let c be (3 - 4) + (-9)/d. Factor -10/7*q**3 - 16/7*q**2 + 4/7 - c*q.
-2*(q + 1)**2*(5*q - 2)/7
Let w(u) be the first derivative of 4*u**3/15 + 2*u**2/5 - 8. Factor w(g).
4*g*(g + 1)/5
Suppose 4*u = 2*w + 2, 2*u + 3*u - 7 = w. Suppose -37/3*r**2 + 11*r**3 + 5*r - 2/3 - w*r**4 = 0. What is r?
1/3, 1, 2
Factor -2*b**4 - 14*b**5 + 5*b**3 - 8*b**4 + 19*b**5 + 0*b**4.
5*b**3*(b - 1)**2
Let i(u) be the second derivative of u**7/210 - u**5/30 + 2*u**3/3 - 5*u. Let z(t) be the second derivative of i(t). Factor z(s).
4*s*(s - 1)*(s + 1)
Let t be 0 + 3 - (-532)/(-175). Let q = 28/75 + t. Factor -q - 1/3*i**2 - 2/3*i.
-(i + 1)**2/3
Let g(h) be the first derivative of -h**7/70 + 3*h**5/20 - h**4/4 - 2*h