 + 9*h(a). Solve m(s) = 0 for s.
-2, 1/3
Let m(s) = 9*s**3 + 4*s**2 - 2*s + 11. Let v(d) = 5*d**3 + 2*d**2 - d + 6. Let x(l) = 6*m(l) - 11*v(l). Solve x(h) = 0.
0, 1
Let q(x) = -x**5 - 9*x**4 - 5*x**3 - 5*x. Let l(p) = 4*p**4 + 2*p**3 + 2*p. Let s(k) = 5*l(k) + 2*q(k). Find b such that s(b) = 0.
0, 1
Factor 676/7 - 104/7*r + 4/7*r**2.
4*(r - 13)**2/7
Let s(m) = -15*m**4 + 27*m**3 + 21*m**2 + 9*m + 12. Let w(v) = -v**3 - v - 1. Suppose -2*i + 7*i = -5. Let p(g) = i*s(g) - 18*w(g). Let p(b) = 0. Calculate b.
-1, -2/5, 1
Let w(v) be the first derivative of -5*v**3/3 + 35*v**2/2 - 12. Factor w(u).
-5*u*(u - 7)
Let r(c) be the second derivative of 0 + 0*c**2 + 4*c - 1/2*c**4 - 1/2*c**5 + 2/3*c**3. Determine h so that r(h) = 0.
-1, 0, 2/5
Determine y, given that -2*y**3 + 1/2*y**4 + 0 - y + 5/2*y**2 = 0.
0, 1, 2
Let v(i) = -i**3 + 8*i**2 - 7*i + 1. Let y be v(7). Suppose -4 = -5*o + y. Factor -4*x - o + x**2 + 2 + 2*x.
(x - 1)**2
Factor 1/7*x + 0 + 1/7*x**2.
x*(x + 1)/7
Let p be (-9)/(-6) - (-7)/(-6). Let i(q) be the first derivative of -2 + 1/9*q**3 - p*q + 0*q**2. Factor i(n).
(n - 1)*(n + 1)/3
Factor -3*f**3 - 5/2*f**2 + 0 + 0*f - 1/2*f**4.
-f**2*(f + 1)*(f + 5)/2
Find o, given that -7/4*o**3 - 1/4*o**4 - 5*o - 9/2*o**2 - 2 = 0.
-2, -1
Suppose 2*p = -2*d + p + 6, 2*d = 3*p + 6. Determine u so that 8*u + 2*u**5 - 16*u**3 - 4*u**2 + 2 + 5*u**4 - d*u**4 + 6*u**5 = 0.
-1, -1/4, 1
Let u(q) = -q**4 + 4*q**3 + 5*q**2 + 6*q - 6. Let a(i) = -i**4 + 3*i**3 + 4*i**2 + 5*i - 5. Let w(m) = 6*a(m) - 5*u(m). Factor w(g).
-g**2*(g + 1)**2
Let j(w) be the second derivative of w**6/105 + w**5/35 + 10*w. Solve j(y) = 0.
-2, 0
Suppose 2*a - v = -3*v + 4, 0 = 2*v - 4. Let k = -155/4 + 39. Solve a + 1/4*m**3 + k*m**4 - 1/4*m - 1/4*m**2 = 0 for m.
-1, 0, 1
Let x(v) be the first derivative of 3/4*v**4 + 0*v + 1/2*v**3 + 3/10*v**5 - 2 + 0*v**2. Suppose x(g) = 0. What is g?
-1, 0
Let u = 3302/11 - 300. Solve 6/11*m**2 + 0 + 2/11*m**4 + u*m + 6/11*m**3 = 0.
-1, 0
Let f(i) be the first derivative of 14/3*i**3 + 6/5*i**5 + 5*i**4 - 4*i**2 - 8*i - 3. Factor f(d).
2*(d + 1)**2*(d + 2)*(3*d - 2)
Let m(f) be the second derivative of f**4/12 - f**3/6 - f**2 - 21*f. Determine z so that m(z) = 0.
-1, 2
Suppose 0 - 1/2*w**4 - 2*w + 1/2*w**3 + 2*w**2 = 0. Calculate w.
-2, 0, 1, 2
Let z(j) be the first derivative of -2*j**3/3 - 5*j**2 - 12*j - 7. Factor z(u).
-2*(u + 2)*(u + 3)
Suppose -2*h = -o - 1, 2*o = -0*o + 6. Suppose -5 - 1 = -h*k. What is y in 0*y**2 - 1/3*y**4 + 1/3 - 2/3*y**k + 2/3*y = 0?
-1, 1
Let z(n) = -n**3 - n**2 - n. Let y(s) = -9*s**3 - 19*s**2 - 11*s. Let r(v) = -2*y(v) + 22*z(v). Determine a so that r(a) = 0.
0, 4
Let b(q) = q. Suppose -5*x + 2 = -3*x. Let t(j) be the second derivative of -j**4/2 + j**3/6 + j. Let p(c) = x*t(c) + b(c). Factor p(h).
-2*h*(3*h - 1)
Let u(o) be the third derivative of -1/20*o**6 + 1/30*o**5 - 3*o**2 - 1/168*o**8 + 0*o + 0*o**4 + 0 + 0*o**3 + 1/35*o**7. Factor u(c).
-2*c**2*(c - 1)**3
Let p(n) = -2*n**5 + 2*n**4 - 3*n**3 - 2*n**2 - n + 3. Let s = 6 + -9. Let k(h) = -h**5 - h**3 + 1. Let y(z) = s*k(z) + p(z). Factor y(q).
q*(q - 1)*(q + 1)**3
Let y(o) = -11*o**3 - 6*o**2 - 4*o - 4. Let i(w) = w**3 + w**2 + w + 1. Let r(m) = 4*i(m) + y(m). Find t, given that r(t) = 0.
-2/7, 0
Let l(d) be the second derivative of -d**8/1680 + d**7/315 - d**6/180 - d**4/2 + 6*d. Let v(c) be the third derivative of l(c). Solve v(r) = 0 for r.
0, 1
Let i(j) = 7*j**4 - 12*j**3 + 3*j**2 + 11. Let b(z) = 4*z**4 - 6*z**3 + 2*z**2 + 6. Let y(p) = 11*b(p) - 6*i(p). Factor y(s).
2*s**2*(s + 1)*(s + 2)
Let l(g) = -g**3 + 14*g**2 - 24*g + 4. Let j be l(12). Factor -2/3*o**5 - 2*o**3 - 2*o**j + 0 - 2/3*o**2 + 0*o.
-2*o**2*(o + 1)**3/3
Let u(v) be the third derivative of 4*v**7/735 - v**6/70 - 2*v**5/105 + v**4/14 - 9*v**2. Determine h, given that u(h) = 0.
-1, 0, 1, 3/2
Let k(p) be the first derivative of 2*p**5/15 - 14*p**3/9 - 2*p**2 - 19. What is y in k(y) = 0?
-2, -1, 0, 3
Let n(b) be the third derivative of -b**5/140 - 3*b**4/56 - b**3/7 + 2*b**2. Solve n(u) = 0 for u.
-2, -1
Factor 0*o + 0 + 0*o**4 + 0*o**2 - 2/5*o**5 + 2/5*o**3.
-2*o**3*(o - 1)*(o + 1)/5
Let q = -105/2 + 75. Let j = 199 - 373/2. Find z such that -12*z + q*z**2 + 2 - j*z**3 = 0.
2/5, 1
Let j be 2/(-6)*-2*6. Factor 8*k**2 - j*k**2 + 3*k - k**2.
3*k*(k + 1)
Let p = -557 + 11699/21. Let b(n) be the first derivative of 0*n**2 - p*n**3 + 2/7*n + 4. Factor b(c).
-2*(c - 1)*(c + 1)/7
Let w be -2 + (-1)/((-21)/(-2775)). Let m = 135 + w. Factor 2/7 + m*o**2 + 2/7*o**3 + 6/7*o.
2*(o + 1)**3/7
Factor 6*f**3 - 2*f**4 - 1680*f**5 + 1683*f**5 + 11*f**4.
3*f**3*(f + 1)*(f + 2)
Let p = -12553943/44450 + -1/6350. Let w = 283 + p. What is l in 0*l**3 + w*l**5 + 0*l + 0 + 0*l**2 - 2/7*l**4 = 0?
0, 1/2
Suppose 8 = 7*q - 3*q. Find f, given that 4*f**2 - 5*f**q + 0*f**2 = 0.
0
Let k(f) be the first derivative of -3*f**5/5 + 7*f**4/4 - 2*f**2 + 1. Determine z, given that k(z) = 0.
-2/3, 0, 1, 2
Let n(l) be the second derivative of -l**4/48 - l**3/8 - l**2/4 - 6*l. Factor n(r).
-(r + 1)*(r + 2)/4
Let i(y) = -y**3 - 3*y**2 + y - 4. Let h be i(-3). Let v = -5 - h. Factor 1 + v*g**4 - 1 - 2*g**2.
2*g**2*(g - 1)*(g + 1)
Let g(d) be the third derivative of -d**7/1260 - d**6/360 + d**5/30 + d**4/8 + 5*d**2. Let o(h) be the second derivative of g(h). Factor o(c).
-2*(c - 1)*(c + 2)
Let y(t) be the third derivative of -1/180*t**5 + 1/18*t**3 + 0 + 5*t**2 + 1/360*t**6 + 0*t - 1/72*t**4. Factor y(j).
(j - 1)**2*(j + 1)/3
Suppose 0 = 5*r + 23 - 83. Suppose 0 = 2*f + 2*f - r. Let 2*m**2 + m**3 - m**2 - m + 2 - f*m**2 + 0*m**2 = 0. What is m?
-1, 1, 2
Let t = 218/231 + 16/33. What is c in 4/7*c**3 - t*c**4 + 0*c**2 + 0 + 0*c = 0?
0, 2/5
Let a(u) be the third derivative of 9*u**8/112 + u**7/10 - u**6/20 + 6*u**2. Factor a(h).
3*h**3*(h + 1)*(9*h - 2)
Let v be -3 + 1 + (-49)/14 + 6. Solve 4 + 3*p**2 + v*p**3 + 6*p = 0.
-2
Let d = 16 - 10. Let p be 4/24 + (-1)/d. Let p*r + 0 - 4/9*r**2 + 2/9*r**3 + 2/3*r**4 = 0. What is r?
-1, 0, 2/3
Solve 2*t + 4*t**3 + t**3 + 11 - 1 - 17*t = 0.
-2, 1
Let t be ((-39)/63 - 8/(-28))*-12. Let y(c) be the second derivative of 0*c**2 - 1/8*c**3 + c - 1/16*c**t + 0. Factor y(m).
-3*m*(m + 1)/4
Determine n so that 0*n**2 + 0*n**3 + 0*n + 0 - 1/6*n**4 = 0.
0
Find v, given that -27/2*v**2 + 13/2*v - 7/2*v**4 + 23/2*v**3 - 1 = 0.
2/7, 1
Let v(r) = -10*r**3 + 18*r**2 + 10*r. Let a(h) = 10*h**3 - 19*h**2 - 11*h. Let k(b) = -4*a(b) - 6*v(b). Solve k(d) = 0 for d.
-2/5, 0, 2
Let l be 3/(49/14 - -1). Factor -4/3*k + 0 + l*k**2.
2*k*(k - 2)/3
Let d(z) be the third derivative of z**5/30 - z**4/4 + 2*z**3/3 - 31*z**2. Factor d(y).
2*(y - 2)*(y - 1)
Let y be (-230)/(-8) - 5/(-20). Let o = -29 + y. Factor 0*b**2 + o + 0*b + 1/2*b**3.
b**3/2
Suppose 10 = 5*g - 0*g. Suppose h = -3 + 5. Factor t**2 - 5*t**2 + 3*t**h + 3*t**2 - g.
2*(t - 1)*(t + 1)
Let r be 1 - 2/4 - 0. Let f = 4/319 - -2217/1276. Factor 3/4*d + f*d**3 - 3*d**2 + r.
(d - 1)**2*(7*d + 2)/4
Let s = 17/64 - 1/64. Solve 0 + s*z**3 + 0*z - 1/2*z**2 = 0 for z.
0, 2
Let w(t) = -3*t**2 - 12*t + 3. Let p(k) = -5*k**2 + 2*k**2 + 4*k**2 - 1 + 5*k. Let d(y) = -12*p(y) - 5*w(y). Factor d(l).
3*(l - 1)*(l + 1)
Let -2*c**2 + 0 + 2/13*c**4 - 10/13*c**3 - 14/13*c = 0. Calculate c.
-1, 0, 7
Factor 1 + 7/4*t + 1/2*t**2 - 1/4*t**3.
-(t - 4)*(t + 1)**2/4
Let b be -36 + (-4 - (-4 - 0)). Let h be (-75)/b - 3/4. Factor 4/3*a + h + 1/3*a**2.
(a + 2)**2/3
Let s = -63/2 - -32. Let w(o) be the first derivative of -1/12*o**3 - o - s*o**2 + 2. Solve w(u) = 0 for u.
-2
Suppose 4*y + 23 = 5*v, -4*y - 4 - 4 = 0. Suppose -2*c + 15 = v*c. Factor -6*a**2 + 5*a**c + 4*a**2 - 3*a**3.
2*a**2*(a - 1)
Let w(x) = -5*x**3 + x**2 - 1. Suppose 0 = -4*n - 4. Let b be w(n). Solve q**b - 3*q**5 + 5*q**3 + 2*q**3 - 2*q - 3*q**3 = 0 for q.
-1, 0, 1
Solve 5 + 3*b**3 - 2*b**2 + 27*b - b**4 - 31*b + b**3 - 2 = 0.
-1, 1, 3
Factor 1 + 3*d - d**3 + 1 - 3 + 3.
-(d - 2)*(d + 1)**2
Let q(g) be the second derivative of -g**5/30 - g**4/4 + g**2 - 8*g. Let z(l) be the first derivative of q(l). Factor z(r).
-2*r*(r + 3)
Let z(y) = -210*y**2 + 280*y - 70. Let d(w) = -15*w**2 + 20*w - 5. Let c(h) = -55*d(h) + 4*z(h). Factor c(r).
-5*(r - 1)*(3*r - 1)
Let k(x) be the first derivative of -x**8/4620 - x**7/1540 - x**6/1