*4 + 2 - d**3. Factor w(f).
3*(f - 1)**2*(f + 1)
Let x(z) be the second derivative of 0 - 1/2*z**2 + 2/3*z**3 - 7/48*z**4 + 2*z. Factor x(s).
-(s - 2)*(7*s - 2)/4
Determine u, given that u**2 + 2*u + 4 - 5*u**2 - 4*u**3 + 8*u**3 - 6*u**3 = 0.
-2, -1, 1
Let j(s) be the second derivative of -s**6/20 - 3*s**5/10 - 9*s**4/16 - s**3/2 + s**2 + s. Let w(n) be the first derivative of j(n). Factor w(b).
-3*(b + 2)*(2*b + 1)**2/2
Let x(s) be the second derivative of -s**4/42 + 2*s**3/21 - s**2/7 - 5*s. Factor x(p).
-2*(p - 1)**2/7
Let t(i) be the third derivative of 0*i**3 - 11/120*i**6 + 1/12*i**4 - 3*i**2 + 0*i + 1/12*i**5 - 1/15*i**7 + 0. Factor t(v).
-v*(v + 1)*(2*v - 1)*(7*v + 2)
Suppose -3*a = 2*p - 8, -10 = -4*p - 3*a - 0*a. Factor 2*i**4 + 1 - p - 4*i**2 + 2*i**2.
2*i**2*(i - 1)*(i + 1)
Let d(u) be the first derivative of -u**6/6 + u**5/5 + 3*u**4/2 - 24. Factor d(o).
-o**3*(o - 3)*(o + 2)
Let y = -16 + 19. Find o such that 4*o**4 + 4*o**y - 2*o**2 + 0*o**2 + 0*o**3 - 6*o**4 = 0.
0, 1
Let z(x) be the third derivative of x**8/40320 - x**7/15120 + x**4/12 + 2*x**2. Let g(d) be the second derivative of z(d). What is j in g(j) = 0?
0, 1
Let l be (-44)/10*(-80)/96. Let a = 4 - l. Factor a*o**2 + 2/3 + o.
(o + 1)*(o + 2)/3
Suppose -3*j + 25 = 5*f, 3*f = -3*j + 21 - 0. Factor 3/7*c**4 - 8/7*c**3 + 0 + c**f - 2/7*c.
c*(c - 1)**2*(3*c - 2)/7
Find k, given that 32/5 + 16/5*k + 2/5*k**2 = 0.
-4
Suppose 0 = -s - 4*h + 15, -s = 3*s + 4*h. Let c(u) = -u - 2. Let g be c(s). Let 2/5*d**2 - 2/5*d**4 - 2/5*d**g + 0 + 2/5*d = 0. What is d?
-1, 0, 1
Let g(k) = -2*k + 8. Let t be g(3). Suppose 4/7*q**3 + 2/7*q**t + 0 + 2/7*q**4 + 0*q = 0. What is q?
-1, 0
Let v(x) = -4*x**4 + 8*x**3 - 13*x**2 - 3*x - 3. Let k(y) = y**4 - y**2 + y + 1. Let b(z) = 15*k(z) + 5*v(z). Factor b(d).
-5*d**2*(d - 4)**2
Let y(m) be the first derivative of -2/7*m**2 + 2/7*m**3 - 3 - 1/14*m**4 + 0*m. Factor y(j).
-2*j*(j - 2)*(j - 1)/7
Let b(c) be the second derivative of c**7/8820 - c**6/1260 - c**4/4 - 3*c. Let i(s) be the third derivative of b(s). Factor i(d).
2*d*(d - 2)/7
Let w(z) be the first derivative of -z**8/112 + z**6/20 - z**4/8 + 2*z**2 - 6. Let n(i) be the second derivative of w(i). Factor n(p).
-3*p*(p - 1)**2*(p + 1)**2
Let a(i) be the second derivative of 8*i - 1/28*i**4 + 3/7*i**2 - 1/14*i**3 + 0. Suppose a(u) = 0. What is u?
-2, 1
Factor 3/4*h**2 + 3/2*h + 3/4.
3*(h + 1)**2/4
Let k(u) be the first derivative of -2*u**5/75 - u**4/15 - 2*u**3/45 - 24. Factor k(y).
-2*y**2*(y + 1)**2/15
Let g = 126 - 251/2. Solve -g*v**2 + v + 0 = 0.
0, 2
Let w(a) be the third derivative of a**7/42 + a**6/6 + 5*a**5/12 + 5*a**4/12 + 28*a**2. Factor w(x).
5*x*(x + 1)**2*(x + 2)
Factor 0 - 1/8*d**3 + 1/8*d - 1/8*d**4 + 1/8*d**2.
-d*(d - 1)*(d + 1)**2/8
Factor -10*y - 4*y + 24*y**2 - 2*y**3 - y**3 + 2*y - 9*y**4.
-3*y*(y - 1)*(y + 2)*(3*y - 2)
Factor 0 - 7/5*y**3 + 8/5*y**4 + 2/5*y**2 - 3/5*y**5 + 0*y.
-y**2*(y - 1)**2*(3*y - 2)/5
Let y be (-9)/(-15)*(2 + -1). Let o = y + 0. Factor -1/5 - 1/5*f**3 - 3/5*f - o*f**2.
-(f + 1)**3/5
Suppose -11*a = -15*a. Let h = 5 - 3. Solve 0 + a*b**h - 1/3*b + 1/3*b**3 = 0.
-1, 0, 1
Find k such that -2/7*k**2 + 4/7 - 2/7*k = 0.
-2, 1
Let w = -18 - -11. Let z be 35/(-50)*4/w. Suppose 2/5*g**3 + 0*g + 0*g**2 + 0 - 4/5*g**4 + z*g**5 = 0. Calculate g.
0, 1
Let i = -3/2 + 4/3. Let b = 1/18 - i. Let 2/9*q - 4/9*q**2 + 0 + b*q**3 = 0. Calculate q.
0, 1
Let g(m) be the second derivative of m**7/42 + m**6/10 + 3*m**5/20 + m**4/12 + 2*m. Let g(c) = 0. What is c?
-1, 0
Let m(g) be the second derivative of -2/3*g**4 - 2*g + 0 - 1/3*g**3 + 0*g**2. Suppose m(n) = 0. Calculate n.
-1/4, 0
Let s(v) = -v + 10. Let w be s(10). Suppose w = -2*z - a - 2 + 7, -z = 2*a - 1. Determine r so that 0*r + 0 + 0*r**4 - 1/3*r**5 + r**z - 2/3*r**2 = 0.
-2, 0, 1
Let k(j) be the first derivative of -j**6/3 + 12*j**5/5 + j**4 - 8*j**3 - j**2 + 12*j + 8. Let k(h) = 0. What is h?
-1, 1, 6
Let v(o) be the first derivative of -1/18*o**4 + 0*o + 2 + 1/9*o**2 + 0*o**3. Solve v(d) = 0.
-1, 0, 1
Factor 0 + 1/6*o**4 - 2/3*o**3 + 5/6*o**2 - 1/3*o.
o*(o - 2)*(o - 1)**2/6
Suppose 2*r - 2*j + 10 = -3*r, -5 = -j. Let a(n) be the second derivative of 1/2*n**2 + 1/20*n**5 + r - 2*n - 1/6*n**3 - 1/12*n**4. Factor a(p).
(p - 1)**2*(p + 1)
Determine z so that 3 - 35/3*z - 4/3*z**2 = 0.
-9, 1/4
Let n(p) = p**2 - 8*p + 2. Let i be n(8). Let l(v) be the third derivative of 7/240*v**5 - 1/48*v**4 + 0 + 0*v - v**i + 0*v**3. Factor l(f).
f*(7*f - 2)/4
Factor -3*g**2 + 5*g**2 - 3*g**2 - g**2.
-2*g**2
Let s(j) be the first derivative of 2*j**3/27 - 52. Determine c so that s(c) = 0.
0
Let m(u) be the second derivative of -u**6/30 - u**5/5 + u**4/6 + 2*u**3 - 9*u**2/2 - 5*u. Determine c so that m(c) = 0.
-3, 1
Suppose -7*j = -5*d - 4*j + 15, 5*j + 15 = 5*d. Suppose -6*u**2 - 3*u**2 - 28*u**5 + u**2 - 19*u**4 + 67*u**4 - 12*u**d = 0. What is u?
-2/7, 0, 1
Suppose 5*b = 26 - 6. Suppose o**2 + b*o**2 + 0*o**2 - 1 - 4*o**2 = 0. What is o?
-1, 1
Let t(n) = -n**3 + 10*n - 1. Let r be t(3). What is u in -4/7*u - 2/7*u**r + 0 = 0?
-2, 0
Factor 0 - 1/2*f**4 - 1/3*f**2 + 0*f - 5/6*f**3.
-f**2*(f + 1)*(3*f + 2)/6
Let l(g) = 1. Let h(y) = y**2 + 3. Let m(p) = h(p) - 4*l(p). Determine u so that m(u) = 0.
-1, 1
Suppose -5*r + 2 = -3, -2*r = -5*j + 23. Find w such that -2/5*w**3 - 4/5*w**4 + 0*w + 0 + 0*w**2 - 2/5*w**j = 0.
-1, 0
Let g(j) be the second derivative of -j**5/60 - j**4/12 - j**3/6 + j**2 - 2*j. Let t(n) be the first derivative of g(n). Factor t(f).
-(f + 1)**2
Let k(z) = -3*z**4 + 3*z**3 - 6*z**2 + 6*z. Let b(u) = 8*u**4 - 9*u**3 + 18*u**2 - 17*u. Let v(t) = -6*b(t) - 17*k(t). Solve v(d) = 0.
-2, 0, 1
Let v(p) be the first derivative of -4*p**5/5 + 7*p**4 - 20*p**3 + 26*p**2 - 16*p - 31. Factor v(g).
-4*(g - 4)*(g - 1)**3
Let z(u) be the second derivative of 0*u**3 + 5*u + 1/40*u**6 + 3/80*u**5 + 1/168*u**7 + 0*u**2 + 0 + 1/48*u**4. Suppose z(l) = 0. What is l?
-1, 0
Let s(p) be the first derivative of -4*p**3/3 + 10*p**2 + 24*p - 12. Factor s(z).
-4*(z - 6)*(z + 1)
Factor -2/7 + 4/7*n - 2/7*n**2.
-2*(n - 1)**2/7
Let a(x) = -3*x**2 - 9*x - 3. Let k(l) = 3*l**2 + 8*l + 3. Let r be (-4)/10*(-10)/(-2). Let z(v) = r*a(v) - 3*k(v). Factor z(j).
-3*(j + 1)**2
Suppose 0 = y - b, 3*y - 5*b + 5 - 1 = 0. Let h be (48/(-252))/(y/(-3)). Determine v, given that 6/7*v**4 - h*v**5 - 4/7*v**2 - 4/7*v**3 + 6/7*v - 2/7 = 0.
-1, 1
Let i be 35*-6*2/(-20). Let z be (-14)/i*(-2)/1. Factor 0 - 2/3*t**3 - 2/3*t - z*t**2.
-2*t*(t + 1)**2/3
Suppose -2*w = -2*x - 6, 3*w + 0*w = -x + 17. Let -j**4 - x*j**2 - 3*j**4 + 6*j**4 = 0. Calculate j.
-1, 0, 1
Let o be 3/2*(-10)/(-3). Let h(v) = v**3 - 4*v**2 - 4*v - 3. Let l be h(o). Let s**2 - 3*s**3 - s**l + 3 + 3*s - 3*s**2 = 0. Calculate s.
-1, 1
Suppose 5*s - 10*s + 80 = 0. Let r = s + -13. Find j such that -1/2 + 1/4*j + 3/4*j**2 - 1/4*j**r - 1/4*j**4 = 0.
-2, -1, 1
Let s(v) be the third derivative of v**7/1680 - v**5/80 - v**4/24 - v**3/3 + v**2. Let o(n) be the first derivative of s(n). Factor o(q).
(q - 2)*(q + 1)**2/2
Let g(r) be the second derivative of -r**8/36960 + r**7/13860 + r**4/6 + r. Let c(d) be the third derivative of g(d). Determine y so that c(y) = 0.
0, 1
Let k = 152/39 + -42/13. Find n such that 4/3 + 2/3*n - k*n**2 = 0.
-1, 2
Let p(z) = -17*z**2 + 17*z - 9. Let s be ((-9)/(-6))/(3/(-18)). Let a(w) = 4*w**2 - 4*w + 2. Let j(c) = s*a(c) - 2*p(c). Solve j(t) = 0.
0, 1
Factor 1/2*o**2 + 0 + 3/2*o.
o*(o + 3)/2
Solve -2/3*k**4 + k**3 + 0 - k + 2/3*k**2 = 0 for k.
-1, 0, 1, 3/2
Suppose -4*v + 98 + 226 = 0. Determine g so that 0*g**3 - 3*g**3 + 33*g**2 - 10*g**2 - v*g + 4*g**2 + 81 = 0.
3
Factor 33*q**2 - 35*q**2 + 4*q - 5*q - q**3.
-q*(q + 1)**2
Let y(x) be the third derivative of -1/48*x**4 + 0*x**3 + 0 + 0*x - 1/210*x**7 + 1/60*x**5 - 4*x**2 + 1/240*x**6. Factor y(a).
-a*(a - 1)*(a + 1)*(2*a - 1)/2
Let d(z) be the second derivative of z**5/5 - 2*z**3/3 + 3*z. Determine v so that d(v) = 0.
-1, 0, 1
What is p in 8/5 + 2/5*p**2 + 2/5*p**5 + 16/5*p - 2/5*p**4 - 2*p**3 = 0?
-1, 2
Let i(t) be the first derivative of -3*t**5 - 21*t**4/4 - 2*t**3 - 8. Factor i(p).
-3*p**2*(p + 1)*(5*p + 2)
Factor -12 + 965*j + 9*j**2 + 3*j**3 - 965*j.
3*(j - 1)*(j + 2)**2
Let s = -121 - -124. Let j(i) be the third 