 = 0. What is h?
-1, 0, 1
Suppose 0 = -s - 3*s + 8. Factor -38*x**3 - 6 - 33*x + 2*x**3 - 59*x**2 - x**s.
-3*(2*x + 1)**2*(3*x + 2)
Let d = -105 - -947/9. Suppose d + 2/9*s**2 - 4/9*s = 0. Calculate s.
1
Let a(h) be the first derivative of 5*h**4 + 125*h**3/3 + 15*h**2 + 21. Factor a(f).
5*f*(f + 6)*(4*f + 1)
Let v(i) = i**4 + i**3 + i + 1. Let p(r) = -12*r**4 - 10*r**3 + r**2 - 12*r - 11. Let x(w) = 4*p(w) + 44*v(w). Determine u, given that x(u) = 0.
-1, 0, 1
Let a = -382 + 22921/60. Let s(c) be the third derivative of 0 - 1/24*c**4 + 0*c**3 + 2*c**2 + 0*c + a*c**5. Suppose s(h) = 0. Calculate h.
0, 1
Factor -4*b - 4*b**4 + 2*b**2 + 2 - 2 + 4*b**3 + 2*b**2.
-4*b*(b - 1)**2*(b + 1)
Let a = 74/35 - 12/7. Factor a - 2/5*k**2 + 2/5*k - 2/5*k**3.
-2*(k - 1)*(k + 1)**2/5
Let t(z) be the third derivative of z**6/120 - z**5/60 - z**4/12 - 25*z**2. Factor t(p).
p*(p - 2)*(p + 1)
Let w be 3 - (-3)/(12/8). Suppose w*l = 1 + 19. Factor 0*u + 0*u**2 + 0*u**3 - 1/2*u**l - 1/2*u**5 + 0.
-u**4*(u + 1)/2
Find g, given that -29*g**3 + 10 - 11*g**3 + 48*g**4 + 40*g - 60*g**4 + 2 = 0.
-3, -1, -1/3, 1
Let r = 0 + 5. Let o(y) be the second derivative of -1/2*y**2 - 2*y + 0 - 1/4*y**4 + 1/2*y**3 + 1/20*y**r. Solve o(v) = 0 for v.
1
Let d(y) = y**5 + y**4 + y**3 + y. Let c(g) = -2*g**5 - 14*g**4 + 8*g**3 + 8*g**2 - 20*g. Let b(a) = c(a) + 4*d(a). Suppose b(m) = 0. What is m?
-1, 0, 2
Let u(g) be the second derivative of -1/36*g**4 + 0*g**2 + 2*g - 1/18*g**3 + 0. Factor u(o).
-o*(o + 1)/3
Let g(d) be the third derivative of 5*d**5/4 + 35*d**4/6 - 10*d**3/3 - 41*d**2. Factor g(p).
5*(p + 2)*(15*p - 2)
Solve 0 - 4/5*k**2 + 4/5*k**4 + 0*k - 2/5*k**5 + 2/5*k**3 = 0 for k.
-1, 0, 1, 2
Factor -2*h**4 - 3*h**5 + h**3 + h**5 + 3*h**3.
-2*h**3*(h - 1)*(h + 2)
Let u = 0 - -4. Find n such that -n**2 - 5*n**2 + u + n**2 + 4*n**2 = 0.
-2, 2
Let y(d) be the third derivative of -d**5/100 - 3*d**4/40 - d**3/5 - 6*d**2. Solve y(x) = 0.
-2, -1
Let l = 85902455/219 - 392248. Let v = 1/73 + l. What is w in 8/3*w**2 + v*w**3 - 3*w**4 + 4/3*w**5 - 2*w + 1/3 = 0?
-1, 1/4, 1
Let t(w) = 30*w**3 + 23*w**2 - 17*w. Let d(v) = 15*v**3 + 11*v**2 - 8*v. Let k(o) = -5*d(o) + 2*t(o). Solve k(n) = 0.
-1, 0, 2/5
Let -1/5*r**2 + 0 - 2/5*r = 0. What is r?
-2, 0
Let l(j) = -j**4 - 5*j**3 + 4*j**2 - 2*j - 2. Let d(w) = 2*w**4 + 6*w**3 - 5*w**2 + 3*w + 3. Let f(x) = -2*d(x) - 3*l(x). Factor f(t).
-t**2*(t - 2)*(t - 1)
Let n = 24 - 16. Let a(j) = -j**2 + 9*j - 5. Let r be a(n). Factor 27 + r*f**2 - 5*f**2 - 25.
-2*(f - 1)*(f + 1)
Let u(y) be the second derivative of -1/45*y**6 + 0 + 1/9*y**4 + 2/15*y**5 - 4/3*y**3 - 3*y**2 - 4*y. Solve u(d) = 0.
-1, 3
Let c(z) be the first derivative of -4*z**5/35 + z**4 - 20*z**3/7 + 26*z**2/7 - 16*z/7 - 15. Suppose c(o) = 0. Calculate o.
1, 4
Factor 1/2*s**3 - 5/2*s**2 + 0 - 3*s.
s*(s - 6)*(s + 1)/2
Let a be 3 - 0 - (3/(-5) - -2). Solve -a*g + 2/5*g**2 + 8/5 = 0.
2
Let y be 3*((-6)/9)/1. Let w be 1/y + (-26)/(-4). Factor 2*v**4 - w*v**3 - 3 + 4*v**2 + 3 + 0*v**4.
2*v**2*(v - 2)*(v - 1)
Let m(w) = w**3 - w**2 + w. Let h(g) = -25*g**3 + 60*g**2 - 105*g + 40. Let o(n) = -h(n) - 30*m(n). Solve o(r) = 0.
-8, 1
Let b(f) = f**2 - 49*f + 184. Let y be b(4). Factor -1/2*r**5 + 1/2*r**3 + 1/2*r**y + 0*r - 1/2*r**2 + 0.
-r**2*(r - 1)**2*(r + 1)/2
Let l = -685/28 + -191/7. Let v = l + 52. Find w, given that v*w + 1/4 - 1/4*w**3 - 1/4*w**2 = 0.
-1, 1
Suppose -70*n + 66*n = -12. Let z(u) be the first derivative of 2 - 3/4*u**4 + 0*u + 0*u**2 + u**n. Solve z(l) = 0 for l.
0, 1
Solve -6/7*x**2 - 2/7*x**3 - 6/7*x - 2/7 = 0.
-1
Suppose 2*s = 4*s - 4. Factor -l**3 - 6*l**2 + 2*l**3 + s*l**3 - 9*l + 0*l.
3*l*(l - 3)*(l + 1)
Let t(q) be the first derivative of -3*q**5/5 + 9*q**4/4 - 11. Determine i so that t(i) = 0.
0, 3
Let w(q) be the third derivative of q**7/840 + q**6/120 + q**4/24 + 4*q**2. Let c(m) be the second derivative of w(m). Determine g, given that c(g) = 0.
-2, 0
Let f(v) = v**2 - 4*v + 4. Let t = 2 - 5. Let w(b) = 3*b**2 - 12*b + 12. Let p(o) = t*w(o) + 8*f(o). Find n such that p(n) = 0.
2
Factor -5/3*l**2 - 4/3*l + 0 - 1/3*l**3.
-l*(l + 1)*(l + 4)/3
Find l, given that 2/5*l**3 + 4/5 + 6/5*l**2 - 2*l - 2/5*l**4 = 0.
-2, 1
Let i(u) be the first derivative of -3/2*u**4 + 7 + 10/3*u**3 - u**2 - 2*u. Solve i(p) = 0.
-1/3, 1
Let x(a) = -a**2 - 4*a + 3. Let s(p) = 3*p**2 + 11*p - 8. Let q(g) = 3*s(g) + 8*x(g). Let c be q(-2). Solve 0*w**3 - c*w - 2*w**3 + 6*w**2 - 2*w**2 = 0.
0, 1
Factor -9/5*x + 0 - 3/5*x**2.
-3*x*(x + 3)/5
Suppose 2*y - 51 = -y. Let k = y + -6. Solve -13*w**3 + k*w**3 - 2*w**2 + 0*w**2 = 0.
-1, 0
Suppose -9*i + 14*i - 10 = 0. Let i*g**4 - 2 + 2*g**2 - g**3 + 2 + 5*g**3 = 0. What is g?
-1, 0
Let j(i) = i**2 + 4*i - 8. Let n be j(-7). Let c = n - 7. Factor -3*b**2 - 8*b + c*b**2 + 11*b**2 - 8 - 4*b**3.
-2*(b - 2)**2*(2*b + 1)
Let s(j) be the third derivative of -j**5/30 - j**4/6 + j**3 - 3*j**2. Solve s(c) = 0 for c.
-3, 1
Let v(z) = z**3 - 5 + 7 - 4 + 2*z + 5*z**2 - z**2. Let n be v(-2). Factor n*i + 4*i**3 + i**5 + 3*i**4 - 2*i - 2*i**3.
i**3*(i + 1)*(i + 2)
Let c(q) = q**2 + q - 1. Let w(t) = -4*t**3 + 26*t**2 - 18*t - 2. Let f(p) = -2*c(p) + w(p). Determine y, given that f(y) = 0.
0, 1, 5
Let b = -177 - -177. Let 0 + 1/3*i**2 + b*i - 1/3*i**3 = 0. Calculate i.
0, 1
Let l be (-15)/20*(-16)/4. Suppose v - 10 = -l*d, -2*d + 5*v - 18 = -d. Find g such that -18/5 - 12/5*g - 2/5*g**d = 0.
-3
Suppose 3*h + 5*v - 8 = 0, 2*h - v - v = -16. Let l be (-24)/(-15)*(-2)/h. Factor 2/5*b**3 + l - 6/5*b + 0*b**2.
2*(b - 1)**2*(b + 2)/5
Let u(i) = 5*i**3 - i**2 - 4*i + 4. Let h be u(1). Factor -1/4*f**2 + 1/4*f**3 + 1/4*f**h - 1/4*f + 0.
f*(f - 1)*(f + 1)**2/4
Suppose 3/2*l**3 + 1/2*l**4 + 0 + 0*l**2 + 0*l = 0. What is l?
-3, 0
Let g(h) = -3*h**2 + 4*h + 14. Let s(n) = -n**2 + 1. Let y(f) = 3*g(f) - 6*s(f). Let y(r) = 0. What is r?
-2, 6
Let v(m) = m**3 + 2*m**2 - m + 1. Let u be v(-2). Suppose -k**3 + k**2 + 2*k**u - k**2 = 0. Calculate k.
0
Let c(p) be the first derivative of p**7/945 - p**6/180 + p**4/27 + 3*p**2/2 - 7. Let i(z) be the second derivative of c(z). Factor i(v).
2*v*(v - 2)**2*(v + 1)/9
Let c = 9 + 14. Factor c - 23 + n + n**2.
n*(n + 1)
Find i, given that 2/3*i - 1/3*i**2 + 1 = 0.
-1, 3
Suppose -4*z = -0*p - 4*p - 16, -3*z = -p - 4. Let w(l) be the second derivative of 0*l**4 + 1/30*l**5 - 1/3*l**3 + z - 2/3*l**2 - 4*l. Solve w(y) = 0 for y.
-1, 2
Let k(i) = i**4 + i**3 - i - 1. Let r(x) = -20*x**4 - 14*x**3 + 10*x**2 + 26*x + 22. Let d(h) = 44*k(h) + 2*r(h). Determine l so that d(l) = 0.
-2, -1, 0
Let a(g) be the first derivative of 3 - 3/8*g**2 - 1/16*g**4 - 1/4*g - 1/4*g**3. Factor a(z).
-(z + 1)**3/4
Let x(s) be the third derivative of 0*s + 0*s**3 - 1/150*s**5 - 4/525*s**7 + 0*s**4 + 0 - 1/60*s**6 - 3*s**2. Solve x(h) = 0.
-1, -1/4, 0
Let w = 17 - 14. Let v(b) be the second derivative of 0*b**2 - b + 0 - 2/3*b**w - 1/2*b**4 - 1/10*b**5. Factor v(p).
-2*p*(p + 1)*(p + 2)
Let a be (-5)/(-72 - 3)*(9 - 4). What is k in a*k**4 + 0 + 0*k**3 + 1/6*k**5 - 1/3*k**2 - 1/6*k = 0?
-1, 0, 1
Let k(w) be the second derivative of w**6/1980 + w**3/2 + 3*w. Let u(m) be the second derivative of k(m). What is l in u(l) = 0?
0
Let h(v) = 50*v**2 - 4*v + 8. Let c(o) = -17*o**2 + o - 3. Let b = -6 - -9. Let x(k) = b*h(k) + 8*c(k). Factor x(s).
2*s*(7*s - 2)
Let s be (57/12)/(3/12). Factor 19 - s + 5*q - q**4 - 4*q + 3*q**3 - 3*q**2.
-q*(q - 1)**3
Let m(w) be the second derivative of -w**7/126 - w**6/90 + w**5/10 - 18*w. Factor m(t).
-t**3*(t - 2)*(t + 3)/3
Let s(z) be the third derivative of z**5/210 - z**3/21 + 3*z**2. Factor s(u).
2*(u - 1)*(u + 1)/7
Let s(y) be the third derivative of y**9/22680 - y**7/1890 + y**5/180 + y**4/24 + y**2. Let g(x) be the second derivative of s(x). Find u, given that g(u) = 0.
-1, 1
Let g(a) be the third derivative of a**6/480 + a**5/80 - a**3/6 + 8*a**2. Factor g(v).
(v - 1)*(v + 2)**2/4
Let l(z) be the first derivative of -z**4/4 - 8*z**3/3 - z**2/2 - 5*z + 3. Let p be l(-8). Let -14/3*c**p - 46/3*c**2 - 8/3 - 40/3*c = 0. Calculate c.
-2, -1, -2/7
Suppose -3*n + 9 = -3*z, 4*z + 25 = 13. Find k such that 0*k**2 + n + 1/4*k**3 + 0*k + 1/4*k**5 + 1/2*k**4 = 0.
-1, 0
Let p(m) be the third derivative of m**7/105 - m**6/60 + 10*m**2. Let p(x) = 0. 