 2*l**3/7 - 9*l**2/14 + 3*l/7 - 3. Suppose h(y) = 0. What is y?
1/2, 1
Let o(b) = -133*b**4 + 180*b**3 + 199*b**2 + 48*b. Let m(h) = -22*h**4 + 30*h**3 + 33*h**2 + 8*h. Let p(w) = 34*m(w) - 6*o(w). Factor p(g).
2*g*(g - 2)*(5*g + 2)**2
Let c(i) be the first derivative of -5*i**4/4 - 25*i**3/3 + 20*i**2 + 240*i - 28. What is l in c(l) = 0?
-4, 3
Let r be (-12 - -2) + -4 + 16. Solve 0 + 1/2*l**r + 0*l - 1/4*l**3 = 0 for l.
0, 2
Let k(t) be the second derivative of -1/5*t**5 - t**2 - 4*t + 0*t**4 + 0 + 1/15*t**6 + 2/3*t**3. Factor k(g).
2*(g - 1)**3*(g + 1)
Factor -5*d**2 + 4 - 16*d - 15*d**2 + 27*d**2.
(d - 2)*(7*d - 2)
Find c, given that c**2 + 17*c**2 + 21*c**4 + 9*c**4 + 24*c**3 + 4*c - 20*c**4 = 0.
-1, -2/5, 0
Let p(f) = -f**2 - f - 1. Let v(u) = -2*u**2 - u - 6. Let q(j) = -12*p(j) + 4*v(j). Factor q(s).
4*(s - 1)*(s + 3)
Let w(i) be the third derivative of -i**7/140 + i**6/80 + i**5/40 - i**4/16 + 2*i**2. Factor w(g).
-3*g*(g - 1)**2*(g + 1)/2
Suppose -4*d = -q - 1 - 6, -3*d = -3*q + 6. Factor 4*v + 2*v**2 + 0 - d - 4*v**2 + 1.
-2*(v - 1)**2
Let t(u) be the second derivative of 1/66*u**4 + 2/33*u**3 + 0 + 0*u**2 - 2*u. Factor t(d).
2*d*(d + 2)/11
Suppose -h + 3*x + 2 = 10, h + 4 = 2*x. Let n(a) be the second derivative of -1/10*a**5 - 1/6*a**3 + 0 - h*a - 5/24*a**4 + 0*a**2 - 1/60*a**6. Solve n(k) = 0.
-2, -1, 0
Let x(b) be the first derivative of -b**4/12 - b**3/6 + b**2 - 2*b - 3. Let f(l) be the first derivative of x(l). Find t such that f(t) = 0.
-2, 1
Suppose 0 = 5*v - 3*k + 2*k - 5, 0 = -4*v + 5*k - 17. Factor 0*y**v - 1/2*y**3 - y**4 - 1/2*y**5 + 0*y + 0.
-y**3*(y + 1)**2/2
Let o(g) be the first derivative of -g**6/3 - 2*g**5 - g**4 + 28*g**3/3 + 3*g**2 - 18*g + 22. Let o(k) = 0. What is k?
-3, -1, 1
Let d be 2 - (0 + 3 + -5). Let o(v) = -v**2 + 5*v - 1. Let j be o(d). Factor 1/4*q - 1/4*q**j - 1/4*q**4 + 0 + 1/4*q**2.
-q*(q - 1)*(q + 1)**2/4
Let s(g) = 5*g**3 + g + 1. Let v be s(-1). Let o = 8 + v. Factor c**4 - c**2 - 7*c**3 + 2*c**o - 4*c**4 + c.
-c*(c + 1)**2*(3*c - 1)
Let d(w) be the first derivative of w**5/4 - 5*w**4/4 + 5*w**3/2 - 5*w**2/2 + 5*w/4 + 17. Factor d(t).
5*(t - 1)**4/4
Let m(r) be the third derivative of r**7/42 - r**6/8 + 28*r**2. Factor m(w).
5*w**3*(w - 3)
Let m(g) be the first derivative of 1/9*g**6 + 4/9*g**3 - 4/15*g**5 + 0*g**4 + 3 + 0*g - 1/3*g**2. Factor m(b).
2*b*(b - 1)**3*(b + 1)/3
Let w be 6/108 + (-1)/6. Let f = 4/9 + w. Find q such that -q - 1/3*q**3 - f - q**2 = 0.
-1
Suppose 5*k = -0*k. Let u(y) be the second derivative of -2*y + 2/15*y**4 + 2/75*y**6 - 1/10*y**5 + k*y**2 - 1/15*y**3 + 0. Factor u(a).
2*a*(a - 1)**2*(2*a - 1)/5
Let x be (-18)/21*((-15)/27 - 1). Factor x*i + 1/3*i**2 + 1.
(i + 1)*(i + 3)/3
Suppose -1 = 3*t - 19. Suppose -b = -t*b. Let b*i + 2/5*i**2 - 2/5 = 0. Calculate i.
-1, 1
Let w(s) be the second derivative of -s**7/42 - 2*s**6/15 - s**5/5 + s**4/6 + 5*s**3/6 + s**2 - s. Suppose w(l) = 0. Calculate l.
-2, -1, 1
Let f(a) be the second derivative of -a**5/180 - a**4/72 + a**3/9 - a**2/2 + 2*a. Let p(y) be the first derivative of f(y). Determine c, given that p(c) = 0.
-2, 1
Let j(w) be the second derivative of w**9/3024 - w**7/840 - w**3/2 - w. Let v(x) be the second derivative of j(x). Factor v(q).
q**3*(q - 1)*(q + 1)
Let f(g) be the first derivative of -4/5*g**2 + 3 + 2/25*g**5 + 2/5*g - 2/5*g**4 + 4/5*g**3. Let f(n) = 0. Calculate n.
1
Let f be 6/(-36)*45/(-6). Factor r**2 + 1/2 - 1/4*r**3 - f*r.
-(r - 2)*(r - 1)**2/4
Let f(w) be the third derivative of -w**6/1200 - w**5/300 - w**4/240 - 3*w**2. Factor f(r).
-r*(r + 1)**2/10
Suppose 4 = -i - 3*u, -3*i - 5*u - 4 = -0*i. Factor 8/5 - 24/5*a + 6/5*a**2 + i*a**3.
2*(a - 1)*(a + 2)*(5*a - 2)/5
Let r(a) be the second derivative of a**7/840 + a**6/240 + a**4/2 - 7*a. Let k(b) be the third derivative of r(b). Factor k(n).
3*n*(n + 1)
Suppose -2/15*z - 8/15*z**2 + 0 = 0. Calculate z.
-1/4, 0
Suppose 4*c = 56 + 8. Let o = 19 - c. Factor -1/3*y + 2/3*y**2 - 1/3*y**o + 0.
-y*(y - 1)**2/3
Let v(j) = -5*j**2 + 11*j + 3. Let g(w) = -2*w**2 + 5*w + 1. Let t(u) = -7*g(u) + 3*v(u). Let o be t(-2). Factor 0 - 3/2*f - 3/2*f**o.
-3*f*(f + 1)/2
Let a(x) be the first derivative of 1/13*x**2 + 0*x + 2/39*x**3 - 2. Let a(m) = 0. Calculate m.
-1, 0
Let q(l) be the third derivative of -5*l**8/336 - l**7/14 - l**6/12 + l**5/6 + 5*l**4/8 + 5*l**3/6 - 11*l**2. Factor q(n).
-5*(n - 1)*(n + 1)**4
Let a(s) be the second derivative of 5*s**4/12 - 5*s**3/3 - 3*s. Factor a(n).
5*n*(n - 2)
Let n(i) be the third derivative of -2*i**7/175 + i**6/200 + 2*i**2. Factor n(g).
-3*g**3*(4*g - 1)/5
Suppose 6*j + 13 - 25 = 0. Solve -1/2*g - 1/4*g**3 - 3/4*g**j + 0 = 0 for g.
-2, -1, 0
Suppose -2*g - 2 - 2 = 0. Let o be 0/3*g/(-2). Solve 0*t + o + 2/3*t**2 + 2/3*t**3 = 0.
-1, 0
Factor -2*f**2 + 4*f**3 + 3*f**2 + 4*f**2 + f**3.
5*f**2*(f + 1)
Suppose -6*d + 11*d - 14 = -4*w, 4*w - 4 = 0. Factor -1/2*r + 0 + 3/2*r**d.
r*(3*r - 1)/2
Suppose 64 = -24*g + 112. Determine u so that -6/7*u + 4/7 + 2/7*u**g = 0.
1, 2
Let r be (-1 - -5)*-1*-1. Find p such that p**r + 3*p**3 + 8*p - 8*p + 2*p**4 = 0.
-1, 0
Suppose 75 - 17 = -4*c - 2*u, c = u - 13. Let f be 8/28*c/(-10). Find d such that -2/5*d + 0*d**2 + 0 + f*d**3 = 0.
-1, 0, 1
Let v(x) = x**2 + x - 1. Let z(d) = 4*d**2 + 12*d - 8. Let g(q) = 16*v(q) - z(q). Solve g(k) = 0 for k.
-1, 2/3
Let y be (1 - 0) + 0 + 1. Suppose y*o - 6 = -o. Factor 0*d - 2/3*d**o + 2/3.
-2*(d - 1)*(d + 1)/3
Suppose -6 + 10 = 2*d. Let h(b) be the first derivative of -32/5*b**5 + d - 6*b**4 - 1/4*b**2 + 0*b - 2*b**3. Find a, given that h(a) = 0.
-1/4, 0
Let r = 1 - 1. Let y = 69 - 64. Factor 0*s + 1/2*s**y + r + 5/4*s**4 + s**3 + 1/4*s**2.
s**2*(s + 1)**2*(2*s + 1)/4
Let f(b) be the first derivative of -b**6/90 + b**4/18 - b**2/6 - 2*b - 3. Let m(t) be the first derivative of f(t). Factor m(r).
-(r - 1)**2*(r + 1)**2/3
Suppose -5*y + y = -12. Suppose -9 = -y*b - 3. Factor -1/3*q**b + 2/3 + 1/3*q.
-(q - 2)*(q + 1)/3
Let a(b) be the second derivative of -2/15*b**3 + 0 + 0*b**2 + 7/30*b**4 + 2*b + 2/25*b**5. Determine q so that a(q) = 0.
-2, 0, 1/4
Let r(q) be the second derivative of -q**4/12 - q**3/6 + 3*q**2 + 10*q. Determine v so that r(v) = 0.
-3, 2
Let q be (-6)/(-15) + 2/(-6). Let p(z) be the third derivative of q*z**5 - 3*z**2 - 1/3*z**3 + 0*z + 0 - 7/24*z**4. Suppose p(j) = 0. What is j?
-1/4, 2
Let x(l) be the first derivative of -l**7/14 + 3*l**5/20 - 5*l - 2. Let b(k) be the first derivative of x(k). Find h, given that b(h) = 0.
-1, 0, 1
Let j = -25 + 46. Let g be (-2)/(-6) - 1/j. Factor 0*d + g - 2/7*d**2.
-2*(d - 1)*(d + 1)/7
Let u be (-74)/(-26) + (-4)/(-26). Solve 3*m**3 - m**4 - m**3 - m**3 - 2*m**u = 0.
-1, 0
Let k be (-228)/(-95) - 4/10. Suppose -16/11*d**3 - 6/11*d**4 + 0 - 4/11*d - 14/11*d**k = 0. Calculate d.
-1, -2/3, 0
Find h, given that 4/7*h - 6/7*h**2 + 2/7*h**3 + 0 = 0.
0, 1, 2
Let m be 8/3*6/4. Let p(v) = -v**3 + 6*v**2 - v - 4. Let d(b) be the second derivative of -b**4/12 + b**2/2 - b. Let a(j) = m*d(j) + p(j). Factor a(t).
-t*(t - 1)**2
Let r(u) = 2*u + 8. Let n be r(-7). Let p = n - -10. Factor -p + 0 + f**2 + 3.
(f - 1)*(f + 1)
Suppose 0 + 0*t**3 - 2/5*t - t**4 + 2/5*t**5 + t**2 = 0. Calculate t.
-1, 0, 1/2, 1, 2
Let c be 69/(-2 + 3) + 1. Let b be 91/c - 2/4. Factor -4/5 - b*v - 1/5*v**2.
-(v + 2)**2/5
Factor -2*l - 4*l**2 + 4 + 8*l - 6*l**2.
-2*(l - 1)*(5*l + 2)
Let m be 2/(-6) + (-22)/6. Let l(t) = 2*t**2 - 2*t. Let s(w) be the first derivative of -w**3 + 3*w**2/2 - 3. Let i(z) = m*s(z) - 5*l(z). Factor i(k).
2*k*(k - 1)
Suppose 2*j**2 - 2*j**5 + 4/3*j - 14/3*j**4 - 2*j**3 + 0 = 0. What is j?
-1, 0, 2/3
Let i(b) be the first derivative of 8*b**5/5 + 3*b**4 - 28*b**3/3 - 24*b**2 - 16*b - 15. Let i(y) = 0. What is y?
-2, -1, -1/2, 2
Let i(q) be the second derivative of -1/60*q**5 + 0 + 1/18*q**3 + 1/90*q**6 + 0*q**2 - 1/36*q**4 + 8*q. Factor i(t).
t*(t - 1)**2*(t + 1)/3
Let t(n) = -n**3 + 6*n**2 + 5*n + 3. Let a be t(7). Let b = a + 19. Factor 2*m**3 - 2*m**3 + 2*m**3 + b*m**2 + 8*m.
2*m*(m + 2)**2
Suppose 0 = 4*c - 4*n - 8, -2*c = 4*n - 6 - 4. Let k(a) = a**2 + 4*a + 19. Let j(x) = -3. Let d(s) = c*k(s) + 15*j(s). Factor d(p).
3*(p + 2)**2
Let o(v) be the first derivative of 25*v**9/864 + 19*v**8/336 + 17*v**7/420 + v**