0.
-1/8
Let o(j) be the third derivative of j**8/112 + 2*j**7/35 + j**6/10 - j**5/10 - 5*j**4/8 - j**3 - 2*j**2. Factor o(u).
3*(u - 1)*(u + 1)**3*(u + 2)
Let m(x) be the second derivative of x**7/231 + x**6/33 + x**5/11 + 5*x**4/33 + 5*x**3/33 + x**2/11 + 4*x. Let m(g) = 0. What is g?
-1
Let w(r) be the third derivative of -r**7/420 + r**6/60 - r**5/24 + r**4/24 + 4*r**2. Suppose w(y) = 0. What is y?
0, 1, 2
Let a(r) be the first derivative of -r**5/25 + r**4/20 + 4*r**3/15 - 2*r**2/5 - 8. Factor a(t).
-t*(t - 2)*(t - 1)*(t + 2)/5
Let z(x) be the first derivative of x**6/2 - 2*x**5/5 - x**4 + 2*x**3/3 + x**2/2 + 13. Factor z(b).
b*(b - 1)**2*(b + 1)*(3*b + 1)
Let y(m) be the second derivative of m**5/300 - m**4/30 + m**3/10 - 3*m**2 - 3*m. Let v(r) be the first derivative of y(r). Suppose v(z) = 0. Calculate z.
1, 3
Let b(k) be the third derivative of k**8/40320 - k**7/3024 + k**6/540 - k**5/180 + k**4/8 + 6*k**2. Let n(x) be the second derivative of b(x). Solve n(y) = 0.
1, 2
Let o(q) be the first derivative of 1/18*q**4 + 1/9*q**2 + 0*q - 1 - 4/27*q**3. Factor o(u).
2*u*(u - 1)**2/9
Let r be (40/(-50))/(14*(-3)/15). Find c, given that 4/7*c**4 - r*c + 0 + 0*c**3 - 4/7*c**2 + 2/7*c**5 = 0.
-1, 0, 1
Let q = 4 - 2. Let k(m) = 2*m**2 + 4*m + 5. Let z(w) = -5*w + 0*w + w - 2*w**2 - 4. Let h(r) = q*k(r) + 3*z(r). Find o such that h(o) = 0.
-1
Let b(m) be the second derivative of 2/9*m**4 + 0 - 4*m + 0*m**2 + 1/30*m**5 + 4/9*m**3. Solve b(f) = 0.
-2, 0
Let q = -2/551 + 2210/1653. Let x(a) be the second derivative of q*a**6 - 2*a - 5/4*a**5 - 5/12*a**4 - 8/21*a**7 + 1/2*a**2 + 0 + 5/6*a**3. Factor x(w).
-(w - 1)**3*(4*w + 1)**2
Let k(q) be the first derivative of -5*q**4/4 + 10*q**3/3 - 32. What is z in k(z) = 0?
0, 2
Factor 0 - 3/4*b**5 + 21/4*b**4 + 0*b - 9/2*b**3 + 0*b**2.
-3*b**3*(b - 6)*(b - 1)/4
Let o(m) be the third derivative of -1/12*m**4 + 0*m**3 - 1/30*m**5 + 0*m - m**2 + 0. Determine s, given that o(s) = 0.
-1, 0
Let u = 10 + -8. Let j(k) = -k**3 + k**2 + k + 1. Let g(z) = z**2 + 1. Let d(c) = u*j(c) - 2*g(c). Determine i, given that d(i) = 0.
-1, 0, 1
Let s(z) be the first derivative of 0*z - 1/300*z**5 + 0*z**3 - 2 - z**2 + 1/120*z**4. Let g(o) be the second derivative of s(o). Solve g(y) = 0.
0, 1
Let k(p) be the first derivative of -2*p**5/45 - p**4/18 + 2*p**3/27 + p**2/9 + 17. What is l in k(l) = 0?
-1, 0, 1
Let v be (1 + (-9)/10)/((-60)/(-75)). Factor -1/2*d - 1/2 - v*d**2.
-(d + 2)**2/8
Let w(s) = 2*s**2 - 23*s - 37. Let f be w(13). Suppose 2*g = 4*g - 6. Factor -8/3*q - 8/3*q**g - 2/3*q**4 - 2/3 - 4*q**f.
-2*(q + 1)**4/3
Let c(s) = s**2 + 3 - 2*s**2 - 9*s + 2*s**2. Let q be c(9). Factor -2/3*a**2 + 0 - 1/3*a**q - 1/3*a.
-a*(a + 1)**2/3
Let k(a) be the second derivative of -2/7*a**3 + 2*a - 4/7*a**4 + 4/7*a**2 - 1/5*a**5 + 0. Factor k(f).
-4*(f + 1)**2*(7*f - 2)/7
Let i(w) be the third derivative of 3*w**8/2800 + w**7/175 + w**6/100 - w**4/40 + w**3/3 + 4*w**2. Let b(u) be the first derivative of i(u). Factor b(j).
3*(j + 1)**3*(3*j - 1)/5
Let j(r) = 4*r**4 - 8*r**2 - 8*r - 4. Let z(d) = -d - 1. Let g(c) = j(c) - 8*z(c). Let g(y) = 0. Calculate y.
-1, 1
Let c(l) be the second derivative of -l**4/36 - l**3/3 - 5*l**2/6 - 9*l. Factor c(x).
-(x + 1)*(x + 5)/3
Let h(n) = -4*n**3 - n**2 - 2*n - 2. Let o be h(-1). Factor 2/3*r**o + 0 + 4/3*r**2 + 2/3*r.
2*r*(r + 1)**2/3
Let z(l) be the second derivative of l**5/30 + l**4/18 - l**3/9 - l**2/3 - 12*l. Factor z(a).
2*(a - 1)*(a + 1)**2/3
Let h = -142 - -569/4. Let -z + 1 + h*z**2 = 0. Calculate z.
2
Let m = 8 - 3. Suppose -2*r - 4 + 15 = 3*v, -m*r + 4*v = -16. Factor f**2 + 0*f - 6*f + r + 2*f.
(f - 2)**2
Determine d, given that 25/3 - 20/3*d - 5/3*d**2 = 0.
-5, 1
Suppose 3*d + 0*d**2 - 5*d**2 + 3*d**2 + d**2 = 0. Calculate d.
0, 3
Let r(f) be the second derivative of -1/3*f**3 + 0 + 1/6*f**4 + 0*f**2 - 2*f. Determine m so that r(m) = 0.
0, 1
Let t(j) = j**2 - 4*j. Let k be t(5). Let u(y) = -3*y**3 - 9*y**2 - 3*y. Let l(g) = 10*g**3 + 28*g**2 + 10*g. Let p(c) = k*l(c) + 16*u(c). Factor p(d).
2*d*(d - 1)**2
Let j(h) be the first derivative of -12/5*h**5 - 4*h**3 + 1/2*h**6 + 3/2*h**2 + 0*h + 9/2*h**4 + 6. Solve j(l) = 0 for l.
0, 1
Let t = -8 + 10. Let m = -20 + 23. Factor 0 + 2/3*a - 2/3*a**4 + 2/3*a**t - 2/3*a**m.
-2*a*(a - 1)*(a + 1)**2/3
Let i(k) = 5*k**3 - k + 1. Let j be i(1). Let x = -23 + 25. Factor x*v**2 + 0*v**2 - j*v**2 - 12*v**3.
-3*v**2*(4*v + 1)
Factor 21/8*f - 3/4 + 27/8*f**2.
3*(f + 1)*(9*f - 2)/8
Let i be ((-4)/(-3))/(12/18). Let v(o) be the first derivative of 0*o**i + 0*o - 1/12*o**4 - 1/9*o**3 + 1. Factor v(m).
-m**2*(m + 1)/3
Suppose 28 - 61 = -11*u. Let p = 45/7 + -183/35. Factor 0 + 6/5*a**u - 2/5*a**4 - p*a**2 + 2/5*a.
-2*a*(a - 1)**3/5
Suppose 3/8*k**3 + 15/8*k**2 + 3/2*k + 0 = 0. Calculate k.
-4, -1, 0
Factor -v**2 - 5/4*v - 1/2 - 1/4*v**3.
-(v + 1)**2*(v + 2)/4
Let z be (-1*1)/((-4)/32). Suppose -5*i = -i - z. Factor i*v - 4*v**2 - 6*v**3 + 5*v**3 + 3*v**3.
2*v*(v - 1)**2
Determine g, given that -3/4*g**2 + 0*g - 3/8*g**4 + 9/8*g**3 + 0 = 0.
0, 1, 2
Let x = 90 - 90. Factor 8/9*n**4 + x*n**2 - 8/9*n**3 + 0*n - 2/9*n**5 + 0.
-2*n**3*(n - 2)**2/9
Let f(j) be the second derivative of -j**5/360 - 3*j**2/2 - 5*j. Let h(r) be the first derivative of f(r). Factor h(q).
-q**2/6
Let j(f) be the first derivative of 0*f - 1/18*f**6 + 0*f**3 + 0*f**5 - 1 + 0*f**2 + 1/12*f**4. Solve j(y) = 0.
-1, 0, 1
Let s(l) be the first derivative of 0*l**4 - 1/10*l**5 + 0*l + 1/6*l**3 + 5 + 0*l**2. Factor s(p).
-p**2*(p - 1)*(p + 1)/2
Find k, given that 6/5*k**3 + 12/5 - 12/5*k - 9/5*k**2 + 3/5*k**4 = 0.
-2, 1
Let r = 2/1009 - -4030/3027. Solve 2*h**3 + r*h + 0 + 10/3*h**2 = 0 for h.
-1, -2/3, 0
Let o(z) be the second derivative of 4/15*z**3 - 1/3*z**6 + 0*z**2 - 1/2*z**5 + 8*z + 0 + 2/15*z**4. Determine u, given that o(u) = 0.
-1, -2/5, 0, 2/5
Solve d**3 + 17*d**4 + 6*d**3 + 6 + 20*d**3 - 27*d - 38*d**4 + 15*d**2 = 0.
-1, 2/7, 1
Let x(u) be the first derivative of u**2 - 2 + 0*u**3 - 1/360*u**5 - 1/72*u**4 + 0*u. Let i(l) be the second derivative of x(l). Solve i(g) = 0.
-2, 0
Let k(z) be the first derivative of 2*z**3/63 + 2*z**2/7 + 10*z/21 + 25. Let k(l) = 0. What is l?
-5, -1
Factor 4/5*u**4 + 0*u + 0*u**3 - 4/5*u**2 + 0.
4*u**2*(u - 1)*(u + 1)/5
Let o = -1 + 2. Suppose -2*q - o + 5 = 0. What is n in 3*n**3 + n + 1 - 4*n**2 - n**2 + 4*n**q - 4*n**3 = 0?
-1, 1
Let m(b) = -b**3 + 2*b**2 + 5*b - 4. Let h be m(3). Factor -5*i**h + i**2 + i**2.
-3*i**2
Find a such that -98*a**3 + 102*a**3 + 26*a**2 + 14*a**2 = 0.
-10, 0
Let y be 2/10*2920/949. Solve -y*o + 8/13 + 2/13*o**2 = 0 for o.
2
Determine t, given that -6 + 15*t - 9*t**2 - 84*t**3 + 41*t**3 + 3*t**4 + 40*t**3 = 0.
-2, 1
Let n be (-10)/(-4)*(112/20 + -4). Factor 0*k + 1/2*k**3 + 0 - 1/2*k**5 + 1/2*k**2 - 1/2*k**n.
-k**2*(k - 1)*(k + 1)**2/2
Let v be 3/2*16/6. Suppose 5*a**2 + 3*a**3 + 4*a**v - 2*a**2 - 2*a**2 + a**5 - a**4 = 0. What is a?
-1, 0
Let h(s) be the third derivative of s**7/900 - 2*s**6/225 + s**5/75 - s**4/12 - 3*s**2. Let r(x) be the second derivative of h(x). Let r(p) = 0. What is p?
2/7, 2
Let h = -459/77 + 75/11. Factor 0*n**2 - 3/7*n**5 - h*n**4 + 0 - 3/7*n**3 + 0*n.
-3*n**3*(n + 1)**2/7
Let u(r) = -4*r**4 + r**3 + 5*r + 5. Let v(b) = 6*b**4 - b**3 - 7*b - 7. Let h be (-8)/(-20) + (-27)/5. Let k(o) = h*v(o) - 7*u(o). Factor k(s).
-2*s**3*(s + 1)
Let r(l) be the second derivative of -1/3*l**3 + 1/30*l**6 - 1/42*l**7 + 0*l**2 - 1/12*l**4 + 0 + 3/20*l**5 - 7*l. Factor r(s).
-s*(s - 2)*(s - 1)*(s + 1)**2
Let a(b) be the third derivative of -b**5/75 - b**4/30 - 12*b**2. Suppose a(q) = 0. Calculate q.
-1, 0
Let g(i) be the second derivative of -7*i**5/120 + 5*i**4/48 + i**3/6 + 4*i**2 + i. Let v(o) be the first derivative of g(o). Determine j so that v(j) = 0.
-2/7, 1
Let j(p) be the second derivative of -5*p**7/42 + 2*p**6/3 - p**5 + 7*p. Determine w so that j(w) = 0.
0, 2
Let z(m) be the third derivative of 8*m**5/165 - 2*m**4/11 + 3*m**3/11 - 8*m**2. What is r in z(r) = 0?
3/4
Let i(g) = 1. Let k(o) = -o**2 + 4*o - 2. Let d(w) = -6*i(w) + 3*k(w). Factor d(y).
-3*(y - 2)**2
Determine v so that 0 - 17/9*v**2 + 2/9*v = 0.
0, 2/17
Let m(h) be the second derivative of -2*h + 0 + 0*h**3 + 1/24*h**4 - 1/4*h**2. Let m(z)