 is z in -4/3*z**4 + 0 + 4/3*z**2 + 10/3*z**3 - 10/3*z**5 + 0*z = 0?
-1, -2/5, 0, 1
Let h(u) be the second derivative of -u**8/560 - u**7/140 + u**6/120 + u**5/20 + u**3/6 - 4*u. Let l(a) be the second derivative of h(a). Factor l(g).
-3*g*(g - 1)*(g + 1)*(g + 2)
Let c = -11 - -11. Let t(g) = g + 4. Let i be t(c). Factor f**3 + 4/5*f**i + 0*f + 2/5*f**2 + 1/5*f**5 + 0.
f**2*(f + 1)**2*(f + 2)/5
Let q(u) be the first derivative of u**6/8 - 3*u**5/5 + 3*u**4/4 + u**3/2 - 15*u**2/8 + 3*u/2 + 23. Factor q(m).
3*(m - 2)*(m - 1)**3*(m + 1)/4
Factor 1/3*s**2 - 1/3 + 0*s.
(s - 1)*(s + 1)/3
Let h be -10 + 8 + -1 + 0. Let j(n) = -6*n**2 + 6*n - 9. Let p(w) = 5*w**2 - 7*w + 8. Let d(l) = h*p(l) - 2*j(l). Factor d(x).
-3*(x - 2)*(x - 1)
Let 8*j**3 - 7*j**3 - 28 + 28 - 5*j**2 - 6*j = 0. What is j?
-1, 0, 6
Let l = 78 - 72. Let s(u) be the second derivative of 11/8*u**3 - 3/4*u**2 - 1/8*u**7 + 2*u + 2/5*u**l + 0 - 3/20*u**5 - 7/8*u**4. Suppose s(f) = 0. What is f?
-1, 2/7, 1
Factor -162*x**2 - 14*x**4 + 22 - 6*x**4 - 87*x**3 + 5*x**4 - 84*x + 2.
-3*(x + 2)**3*(5*x - 1)
Let k be (-16)/(-10) + (-30)/(-75). Let r = 16 - 47/3. Factor 0 + r*v**k - 1/3*v.
v*(v - 1)/3
Let d(f) be the second derivative of 4*f - 9/2*f**2 + 0 - 1/12*f**4 + f**3. Let d(i) = 0. Calculate i.
3
Let f(s) be the second derivative of 0*s**5 + 3*s - 1/10*s**2 + 0 + 0*s**3 - 1/150*s**6 + 1/30*s**4. Suppose f(m) = 0. Calculate m.
-1, 1
Suppose 2*u + 5*m - 27 = u, 2*u + m = 9. Find y, given that 0*y**u + 0*y + 1/2*y**3 + y**4 + 0 = 0.
-1/2, 0
Suppose 2*y + 6 = 3*y. Let s(l) = l**2 + l. Let o(v) = -2*v**3 + 4*v**2 + 6*v. Let x(a) = y*s(a) - o(a). Let x(d) = 0. What is d?
-1, 0
Let m(v) be the third derivative of -1/150*v**5 + 1/30*v**4 + 0*v + 0 - 1/15*v**3 - v**2. Determine f, given that m(f) = 0.
1
Let b(x) be the first derivative of -2*x**3/27 - 7. Find d such that b(d) = 0.
0
Find k such that 0 + 4/5*k - 2/5*k**4 - 4/5*k**3 + 2/5*k**2 = 0.
-2, -1, 0, 1
Let x(v) = v**2 - 15*v - 15. Let u be x(16). Suppose 3*z = -5*a + 9, a = -0*z - 2*z - u. Let 0 - 2/5*d**2 + 0*d + 2/5*d**4 + 0*d**a = 0. What is d?
-1, 0, 1
What is z in z - 3/2*z**2 + 0 = 0?
0, 2/3
Let 8*n + 0*n + 12*n**2 - 6*n = 0. Calculate n.
-1/6, 0
Let b(z) be the second derivative of -35/6*z**6 + 0 - 145/12*z**4 - z - 2*z**2 + 20/3*z**3 + 47/4*z**5 + 7/6*z**7. Suppose b(n) = 0. Calculate n.
2/7, 1
Suppose 2*i - 1 = -4*c + 7, -2*c + 5*i = -4. Factor 0 + 0*q + 1/5*q**c.
q**2/5
Let k(w) be the first derivative of w**3 - 6*w**2 + 9*w - 33. Factor k(y).
3*(y - 3)*(y - 1)
Let y(d) = d. Let l be y(0). Let u(n) = n**2 - 5*n - 32. Let r be u(-4). What is k in -2*k**5 + 26/7*k**2 - 54/7*k**3 + 46/7*k**r - 4/7*k + l = 0?
0, 2/7, 1
Let w(l) be the first derivative of -12*l**4/7 + 184*l**3/7 + 285*l**2/14 + 36*l/7 + 7. Solve w(q) = 0.
-1/4, 12
Let h(j) be the first derivative of -j**6/1080 + j**5/120 - j**3 - 2. Let s(y) be the third derivative of h(y). Determine n, given that s(n) = 0.
0, 3
Let d(o) = -o**3 + 3*o**2 + o + 3. Let s(u) = -3*u**3 + 8*u**2 + 3*u + 8. Let i(t) = -8*d(t) + 3*s(t). Factor i(n).
-n*(n - 1)*(n + 1)
Suppose 2*h = 6*h - 108. Let b be h/78 + (-4)/(-26). Determine x, given that 3/2*x**3 + b*x + 3/2*x**2 + 1/2*x**4 + 0 = 0.
-1, 0
Let h(x) be the second derivative of x**6/360 - x**5/15 + 2*x**4/3 - 2*x**3/3 + 9*x. Let v(m) be the second derivative of h(m). Find w, given that v(w) = 0.
4
Let y be 5 - (3 + 0/5). Suppose f - 12 = -5*g + 3*f, -3*g - 4*f + y = 0. Find d, given that -2/7*d**g + 0*d + 0 = 0.
0
Let u be (1/(-3) + 1)*3. Suppose -3*f + 3 = -u*f. Suppose -v**3 - 3 + 0*v**3 - 3*v**2 - f*v + 2 = 0. What is v?
-1
Factor -9*y**4 + 26 - 6*y**3 - 3*y**5 - 23 + 3*y**2 + 3*y**2 + 9*y.
-3*(y - 1)*(y + 1)**4
Let v(n) = -n**5 + 5*n**3 - 4*n - 4. Let s(f) = -2*f**5 + 11*f**3 - 9*f - 9. Let k(y) = -4*s(y) + 9*v(y). Let k(m) = 0. Calculate m.
-1, 0, 1
Let i(p) be the first derivative of 0*p - 4/3*p**3 + p**2 - 2 + 4/5*p**5 - 1/3*p**6 + 0*p**4. Factor i(o).
-2*o*(o - 1)**3*(o + 1)
Let r(m) be the second derivative of -1/2*m**3 - 3/4*m**2 + 0 - 1/8*m**4 - 2*m. Determine o, given that r(o) = 0.
-1
Let o(w) be the second derivative of -1/3*w**3 - 2/3*w**2 + 0 - 1/18*w**4 + w. Suppose o(r) = 0. Calculate r.
-2, -1
Let w = -189/2 - -95. Find d such that -w + 3/4*d**2 - 1/4*d**4 - 1/4*d + 1/4*d**3 = 0.
-1, 1, 2
Let m(b) be the third derivative of -b**7/42 + b**6/6 + b**5/6 - 5*b**4/2 - 15*b**3/2 + 31*b**2. Solve m(y) = 0.
-1, 3
Suppose 7/10*n + 3/5 + 1/10*n**2 = 0. What is n?
-6, -1
Let n(p) be the second derivative of 0 - 1/3*p**3 + 1/6*p**4 - 2*p + 0*p**2. Factor n(z).
2*z*(z - 1)
Let a(n) = n**3 + 9*n**2 + 7*n - 11. Let j be a(-8). Let v be 2 + (j + 2 - -2). Solve z - 2*z**3 + 2*z**2 - v*z**4 + 3*z**4 + z**5 - z**4 - 1 = 0.
-1, 1
Find x, given that -8/11 - 6/11*x**2 + 10/11*x**3 - 24/11*x = 0.
-1, -2/5, 2
Let z(n) be the second derivative of -3*n**6/10 - 9*n**5/20 + 5*n**4/4 - 17*n**3/18 + n**2/3 - 34*n. Determine v so that z(v) = 0.
-2, 1/3
Let d(w) = -w**2 + 4*w + 3. Let u be d(5). Let v be 46/14 - u/(-7). Determine g, given that 2*g**5 + 3*g - 3*g**5 - 1 + v*g**4 + 4*g**2 - 6*g**2 - 2*g**3 = 0.
-1, 1
Let n be (-27)/(-6) - (-1)/(-2). Suppose 5*q - 14 = -n. Suppose -15*g**5 - 6*g**3 + g**q - g**4 + 2*g - 4*g + 23*g**3 = 0. What is g?
-1, -2/5, 0, 1/3, 1
Suppose -t = -12 + 6. Solve 7*m**2 - 22*m**2 - m**5 - m**5 + t*m**3 + 11*m**2 = 0.
-2, 0, 1
Suppose -3*h + 4*h = -2, 4*o - 2*h = 12. Let m = 124/477 + -2/53. Suppose -2/9*r**3 - 2/9 + 2/9*r + m*r**o = 0. Calculate r.
-1, 1
Let z = -26/5 + 88/15. Factor -z*k + 0 - 1/3*k**2 + 4/3*k**3 + k**4.
k*(k + 1)**2*(3*k - 2)/3
Let y = -9 + 13. Factor 3*k + 7*k - 2*k**y - 2*k - 6*k**3.
-2*k*(k - 1)*(k + 2)**2
Let s(n) be the third derivative of -n**6/300 + n**5/150 + n**4/60 - n**3/15 + 7*n**2. Factor s(g).
-2*(g - 1)**2*(g + 1)/5
Let k(d) be the second derivative of -1/70*d**7 + 0 - 1/10*d**4 + 0*d**6 + 3/25*d**5 - 3/10*d**3 + 3*d + 3/5*d**2. What is u in k(u) = 0?
-2, -1, 1
Suppose 10/3*l**5 + 2/3*l**2 + 2*l**3 - 6*l**4 + 0*l + 0 = 0. What is l?
-1/5, 0, 1
Suppose t + 16 + 12 = 3*a, -2*t + 2*a = 44. Let l = -56/3 - t. What is j in -2/3*j + l*j**2 + 1/3 = 0?
1
Let x(w) = 4*w**2 - 8*w + 1. Let r(c) be the second derivative of -2*c**4/3 + 5*c**3/2 - c**2 - c. Let b(d) = -6*r(d) - 10*x(d). Factor b(y).
2*(y - 1)*(4*y - 1)
Let v be 4/18 + ((-762)/270 - -3). Factor 2/5*i**2 + 0 + v*i.
2*i*(i + 1)/5
Let a(l) = -l**2 + 6*l + 4. Let i be a(6). Factor -7 - 77*q**4 + 68*q + 28*q**i + 175*q**3 - 186*q**2 - 1.
-(q - 2)*(q - 1)*(7*q - 2)**2
What is n in 86*n**4 + 0*n**2 - 4*n**2 - 2*n**3 - 84*n**4 = 0?
-1, 0, 2
Factor 1/4*u**2 - u + 3/4.
(u - 3)*(u - 1)/4
Let i(p) = -35*p**4 + 94*p**3 - 97*p**2 + 37*p - 9. Let r(j) = -34*j**4 + 94*j**3 - 98*j**2 + 38*j - 8. Let d(s) = -4*i(s) + 5*r(s). Let d(y) = 0. Calculate y.
2/15, 1
Let c(a) be the second derivative of -a**6/10 + 3*a**4/4 + a**3 + 56*a. Factor c(h).
-3*h*(h - 2)*(h + 1)**2
Suppose -2*i + 14 = 2*o, 3*i + 4*o - 7*o + 3 = 0. Let -2/9*v**5 - 8/9*v**4 - 2/9*v - 8/9*v**2 - 4/3*v**i + 0 = 0. What is v?
-1, 0
Let j(q) be the first derivative of -q**3/12 + 5*q**2/4 - 25*q/4 - 7. What is b in j(b) = 0?
5
Factor 2*p**3 + 10/3*p**2 + 2/3*p - 2/3.
2*(p + 1)**2*(3*p - 1)/3
Factor -9*p - 16*p + 21*p - 18*p**2.
-2*p*(9*p + 2)
Let g = 4 - -2. Suppose -g*m = -2*m. Factor 2*x - 8 - 2*x**2 - 2*x**3 + m*x + 0*x + 10.
-2*(x - 1)*(x + 1)**2
Let m(j) = -3*j + 18*j**3 - 3*j + 20*j**4 + 6*j + j + j**2 + 8*j**5. Let f(x) = x**2. Let d(i) = i + 6. Let q be d(-5). Let k(u) = q*m(u) + 6*f(u). Factor k(z).
z*(z + 1)*(2*z + 1)**3
Suppose w + 6 = 2*r, 18 = -w + 4*r + 4. Factor 1/3*p**5 + 0 + 13/3*p**3 - w*p**4 - 4*p**2 + 4/3*p.
p*(p - 2)**2*(p - 1)**2/3
Let z be (-4)/(-14) - (-185)/(-280). Let l = z + 7/8. Find x, given that -x + 1/2 + l*x**2 = 0.
1
Let s(c) = 6*c**2 - 22*c - 13. Let t(g) = -2*g**2 + 8*g + 4. Let b(h) = -4*s(h) - 11*t(h). Solve b(p) = 0.
-2, 2
Let f(t) be the third derivative of -t**5/60 - 3*t**4/8 - 5*t**3/3 + 2*t**2. Let y be f(-7). Factor 9*d**3 - 3*d**2 - d**y - 6*d**4 + d**2.
-d**2*(d - 1)*(7*d - 2)
Let 0*x - 3/4*x**2 + 0 - 3/8*x**3 = 0. What is x?
-2, 0
Let z(h) = -9*h + 38. Let d be z(4). Factor 3/2*o**3 + 1/2*o**4 + 0 + 1/2*o + 3/2*o**d.
o*(o + 1)**3/2
Suppose 0 = 