h + 32/3*h**2 + 0 + 20/3*h**3 = 0. What is h?
-2, 0, 2/5
Let g(t) = -5*t**5 + 10*t**4 - 4*t**3 + 2*t. Let j = -2 + 3. Let a(p) = -p**5 + p**4 + p. Let h(c) = j*g(c) - 2*a(c). Factor h(s).
-s**3*(s - 2)*(3*s - 2)
Suppose 5*c + 8 - 8 = 0. Factor c*l**3 + 2/3*l**4 - 1/3*l**5 + 1/3*l - 2/3*l**2 + 0.
-l*(l - 1)**3*(l + 1)/3
Suppose 0 = 3*a + a - 4*y - 12, 4*a + 4*y = 28. Suppose -10*c**4 + 4*c**4 + 3*c + 6*c**2 - 3*c**a - c**2 + c**2 = 0. Calculate c.
-1, 0, 1
Let k(a) = a - 1. Let y be k(1). Factor 3*s**4 + 3*s**4 - 5*s**4 + y*s**4.
s**4
Let p(b) be the second derivative of 8*b**7/21 + 14*b**6/15 + 2*b**5/5 - b**4/3 + 9*b. Factor p(r).
4*r**2*(r + 1)**2*(4*r - 1)
Let s = 153 + -895/6. Let u(i) be the first derivative of -4/3*i**2 - 32/9*i**3 - s*i**4 - 1/3*i**6 + 0*i - 28/15*i**5 + 4. Suppose u(o) = 0. What is o?
-2, -1, -2/3, 0
Let a(p) be the first derivative of p**4/4 - p**3 + 3*p**2/2 - p - 26. Find m such that a(m) = 0.
1
Let t = 148 - 145. Factor -1/5*r**2 + 1/5*r**t + 0*r + 0.
r**2*(r - 1)/5
Let b(s) = -s**3 - s - 1. Let q(y) = y**4 + 3*y**3 - 2*y**2 + 4*y + 4. Let a(x) = 12*b(x) + 3*q(x). Factor a(f).
3*f**2*(f - 2)*(f + 1)
Let h(b) be the first derivative of 1/9*b**4 + 0*b**3 - 2/45*b**5 - 2/9*b**2 - 2 + 2/9*b. Factor h(u).
-2*(u - 1)**3*(u + 1)/9
Let w(v) be the first derivative of v**5/5 + v**4 + 5*v**3/3 + v**2 + 16. Factor w(y).
y*(y + 1)**2*(y + 2)
Let v(t) be the second derivative of t**6/40 - t**4/2 + 3*t**2 - 7*t. Let x(g) be the first derivative of v(g). Factor x(b).
3*b*(b - 2)*(b + 2)
Let f(k) = k - 8. Let q be f(7). Let l be q/3*(-7 - -1). Solve 1 - x**3 + 3*x - 2*x + x**l - 2 = 0 for x.
-1, 1
Let z(b) be the second derivative of 3*b**5/5 - 5*b**4/4 + b**3/2 + 4*b. Solve z(j) = 0.
0, 1/4, 1
Let t be 0 + 1 + 20/4. Let q = t - 3. Factor -2*o**4 + 2*o**2 + 2*o**3 + o**5 + 0*o**3 - q*o**5.
-2*o**2*(o - 1)*(o + 1)**2
Suppose 2*i = -12 - 6. Let l(r) = r**3 + 10*r**2 + 8*r - 6. Let f be l(i). Factor 1/2*g**2 + 0 + 0*g + 1/2*g**f.
g**2*(g + 1)/2
Let m(w) = -w**2 + 14*w + 36. Let d(h) = 5*h**2 - 57*h - 144. Let o(q) = -2*d(q) - 9*m(q). Suppose o(a) = 0. What is a?
-6
Let o be 1/4 + (-228)/(-48). Let u(f) be the third derivative of 0 - 1/150*f**o + 1/525*f**7 + 0*f**4 + 0*f**3 - 2*f**2 + 0*f**6 + 0*f. Let u(g) = 0. What is g?
-1, 0, 1
Let q be -4*(-2 - 18/(-4)). Let z be -1*2*q/4. Suppose -6*u**3 - 2*u**z + 6*u**4 + 2*u**3 + 0*u**2 + 0*u**2 = 0. Calculate u.
0, 1, 2
Let j = -24 - -14. Let m = 12 + j. Determine x so that -1/5*x**m - 2/5*x - 1/5 = 0.
-1
Let l(r) be the third derivative of -1/220*r**6 + 0 - 3*r**2 + 0*r + 0*r**4 + 1/231*r**7 - 1/165*r**5 + 0*r**3. Factor l(z).
2*z**2*(z - 1)*(5*z + 2)/11
Let o(m) = -4*m**5 + 4*m**4 + 2*m**3 - 4*m**2. Let q(g) = -9*g**5 + 8*g**4 + 5*g**3 - 8*g**2 - g. Let p(i) = -5*o(i) + 2*q(i). Let p(b) = 0. Calculate b.
-1, 0, 1
Let u(c) = -92*c**3 - 16*c**2 + 8. Let g(v) = 61*v**3 + 11*v**2 - 5. Let y(a) = -8*g(a) - 5*u(a). Suppose y(p) = 0. What is p?
-2/7, 0
Suppose -5*x + a + 11 = -2*a, 0 = -2*x - a + 11. Find j, given that 2*j + 6*j**4 + 5*j**2 + x*j**2 - j**4 + 12*j**3 = 0.
-1, -2/5, 0
Let q(a) be the first derivative of a**3/15 - 7. Factor q(r).
r**2/5
Let z(f) be the first derivative of -6*f**5/7 + 19*f**4/14 - 4*f**2/7 + 27. Find j, given that z(j) = 0.
-2/5, 0, 2/3, 1
Let c(h) be the second derivative of -h**8/4200 + h**7/1050 - h**5/150 + h**4/60 - h**3/6 - 2*h. Let m(o) be the second derivative of c(o). Factor m(y).
-2*(y - 1)**3*(y + 1)/5
Let c(x) be the first derivative of 15*x**6/4 - 21*x**5/2 + 35*x**4/8 + 85*x**3/6 - 20*x**2 + 10*x + 12. Let c(a) = 0. What is a?
-1, 2/3, 1
Let s(h) be the first derivative of h**4/16 + h**3/12 - h**2/8 - h/4 + 9. Factor s(t).
(t - 1)*(t + 1)**2/4
Let i(f) be the third derivative of -9*f**2 + 0 + 1/60*f**5 - 1/6*f**4 + 1/2*f**3 + 0*f. Determine y so that i(y) = 0.
1, 3
Let p be 4*3/(-6) + 11. Let w = p - 9. Factor -2/7*g**3 + w - 4/7*g - 6/7*g**2.
-2*g*(g + 1)*(g + 2)/7
What is q in 0*q**4 + 0*q**2 + 0 + 4/3*q**3 - 4/3*q**5 + 0*q = 0?
-1, 0, 1
Let w(s) be the first derivative of s**4/4 - s**3/3 - s**2 - 6. Find x, given that w(x) = 0.
-1, 0, 2
Suppose -3*u + 3*y - 13 + 25 = 0, u + 5*y = -20. Factor u + 2/3*i - 2/9*i**2.
-2*i*(i - 3)/9
Let r = 28 + -24. Let n(g) be the first derivative of -1/18*g**r - 2 + 0*g**3 + 0*g + 1/9*g**2. Factor n(m).
-2*m*(m - 1)*(m + 1)/9
Suppose -v = -w - 4, 5*v - 2*w = 4*v + 6. Let h = 4 + -2. Solve -4*s + 0*s + 4*s + v*s + 2*s**h = 0.
-1, 0
Let l be (-3)/(-5) - 985/900. Let a = -1/20 - l. Factor -a - 2/9*t + 2/9*t**2.
2*(t - 2)*(t + 1)/9
Let m be 1/((-1)/(-2 + 0)). Let y be ((4*3)/4)/1. Factor -1/3*w + 0*w**m + 0 + 1/3*w**y.
w*(w - 1)*(w + 1)/3
Let g(o) = -77*o**3 - o**2 - 3*o - 2. Let w be g(-1). Let r be 70/w*(-4)/(-10). Find c such that -6/11*c**2 - r*c + 2/11 = 0.
-1, 1/3
Let l(k) be the second derivative of k**8/840 - k**7/140 + k**6/60 - k**5/60 + k**3 - 3*k. Let q(n) be the second derivative of l(n). Factor q(r).
2*r*(r - 1)**3
Let v(l) = 15*l**5 + l**4 - 21*l**3 - 17*l**2 + 5. Let j(m) = m**5 + m**4 + m**3 - m**2 + 1. Let k(i) = -10*j(i) + 2*v(i). Let k(x) = 0. Calculate x.
-1, -3/5, 0, 2
Let h be (40/(-200))/(2/4*-1). Find c, given that h*c + 8/5*c**4 + 4/5*c**2 - 14/5*c**3 + 0 = 0.
-1/4, 0, 1
Let r(z) be the third derivative of 0*z + 1/330*z**5 - 6*z**2 + 0*z**4 - 1/1155*z**7 + 0 + 0*z**6 + 0*z**3. Factor r(x).
-2*x**2*(x - 1)*(x + 1)/11
Let x(h) = 4*h + 5. Let m be x(3). Factor 6 + m - 4*v**2 - 8*v - 11.
-4*(v - 1)*(v + 3)
Suppose 2*h + 12*t - 15*t = -8, 2*h + 5*t = 24. What is a in 3*a**4 + 0 - 2*a - h*a**2 - 9/2*a**5 + 11/2*a**3 = 0?
-2/3, 0, 1
Let s(b) be the first derivative of 11*b**4/2 + 4*b**3/3 - 11*b**2 - 4*b - 5. Suppose s(r) = 0. What is r?
-1, -2/11, 1
Suppose 0 = 15*p - 12*p - 12. Let j(c) be the third derivative of 1/210*c**7 - 1/30*c**5 + 0*c**6 + 0*c + 0 + 4*c**2 + 0*c**p + 1/6*c**3. Factor j(r).
(r - 1)**2*(r + 1)**2
Let u = -35/2 - -317/18. Let z(v) be the second derivative of 2*v - 1/2*v**4 - 11/30*v**5 - 4/45*v**6 + 1/3*v**2 + 0 - u*v**3. Suppose z(a) = 0. Calculate a.
-1, 1/4
Let p(s) be the third derivative of 1/12*s**4 + 0 - 1/180*s**6 - 2/9*s**3 + s**2 + 0*s + 0*s**5. Factor p(n).
-2*(n - 1)**2*(n + 2)/3
Determine h, given that -12*h**2 - 4*h**2 + 3*h**4 + 13*h**2 = 0.
-1, 0, 1
Let n(b) be the first derivative of 2*b**5/25 - 2*b**3/5 - 2*b**2/5 + 15. Factor n(u).
2*u*(u - 2)*(u + 1)**2/5
Factor -9/4*w + 1/2 + 7/4*w**2.
(w - 1)*(7*w - 2)/4
Let p(r) be the third derivative of r**7/490 - r**5/140 - r**2. Factor p(n).
3*n**2*(n - 1)*(n + 1)/7
Let c(s) be the second derivative of 3*s**5/20 + s**4/12 - s**3/2 - s**2/2 - 3*s. Solve c(b) = 0.
-1, -1/3, 1
Factor 1/5*p - 2/5*p**3 + 1/5*p**4 + 1/5*p**5 - 2/5*p**2 + 1/5.
(p - 1)**2*(p + 1)**3/5
Let w(c) be the second derivative of -c**7/1260 - c**6/360 + c**4/12 - 7*c. Let z(t) be the third derivative of w(t). Factor z(k).
-2*k*(k + 1)
Let v = 39 + -37. What is d in 4/3*d**4 - 2/3 - 10/3*d**3 + v*d**2 + 2/3*d = 0?
-1/2, 1
Let q(u) be the first derivative of 3*u**5/5 + 6*u**4 + 24*u**3 + 48*u**2 + 48*u + 11. Solve q(z) = 0.
-2
Let h(k) be the second derivative of k**6/120 + k**5/20 + k**4/8 + k**3/6 - k**2/2 + 2*k. Let m(i) be the first derivative of h(i). Find d such that m(d) = 0.
-1
Suppose -14 - 28 = -2*v. Factor -13*c**2 - 12*c**3 + 6 + v*c - 4*c**2 + 2*c**2.
-3*(c - 1)*(c + 2)*(4*c + 1)
Let u be (35 + -32)/(3/(-8)*-2). Factor 2/7*h**3 - 2/7*h**u + 6/7*h**2 - 10/7*h + 4/7.
-2*(h - 1)**3*(h + 2)/7
Suppose -c = 2*c - 9. Let v be (1 + 2)*2/c. Solve -f - v*f**3 - 3*f**2 - f**4 - f**3 + 0*f**3 = 0.
-1, 0
Let x = -1 - -4. Suppose 0*a - 4*a = -16. Solve 8*q**2 - x*q**3 - 2*q**4 + 3*q + q + 3*q**a + 8*q**3 = 0 for q.
-2, -1, 0
Let m(h) = 4*h**2 - h - 1. Let k be m(1). Factor -15 + 2*g**k + 15 + 2*g**3.
2*g**2*(g + 1)
Let l = -127 - 29. Let x be 2/10 + l/(-20). Factor 44*z**4 - 41*z**3 - x*z + 26*z**2 - 49*z**3 + 22*z**2 + 6*z**4.
2*z*(z - 1)*(5*z - 2)**2
Suppose 4*o - 3*u = 9 - 53, u - 12 = o. Let s = -4 - o. Let 2*c**s - 11*c**3 + c**4 + 2*c**3 - 3*c + 9*c**2 = 0. Calculate c.
0, 1
Let n = -50 - -101/2. Determine h so that n*h**2 + 0*h - 1/2 = 0.
-1, 1
Let z = -68/21 + 25/7. Factor -z*j**2 - 1/3 - 2/3*j.
-(j + 1)**2/3
Let v(z) be the first derivative of