 derivative of y(c). Factor a(z).
-(z - 1)*(z + 2)/4
Let a be 1*(2/2 - 4). Let u(g) = 7*g - 2. Let j(h) = -h**2 + 8*h - 3. Let d(k) = a*j(k) + 4*u(k). Factor d(y).
(y + 1)*(3*y + 1)
Let k(w) be the first derivative of w**6/8 - 9*w**5/20 + 9*w**4/16 - w**3/4 + 17. Determine x so that k(x) = 0.
0, 1
Suppose -3*f + 2 = -2*f. Factor 2*k**3 - 2*k + 4*k**3 + k**3 - 3*k**3 - f*k**5.
-2*k*(k - 1)**2*(k + 1)**2
Let u(f) be the first derivative of f**6/10 + 7*f**5/20 + f**4/4 - f**3/2 + f**2 - 5. Let o(r) be the second derivative of u(r). Factor o(w).
3*(w + 1)**2*(4*w - 1)
Let i(k) be the first derivative of 2*k**5/9 - 7*k**4/18 - 2*k**3/9 + 7*k**2/9 - 4*k/9 + 25. Find w, given that i(w) = 0.
-1, 2/5, 1
Let -1 + 1/2*k**2 - 1/2*k = 0. Calculate k.
-1, 2
Let v(m) be the first derivative of -m**3/9 + m**2/3 - m/3 + 3. Factor v(z).
-(z - 1)**2/3
Let d = 4283/29808 - -4/1863. Let k(i) be the second derivative of -3*i + 0*i**2 + 0 - d*i**4 - 1/16*i**5 - 1/12*i**3. Factor k(j).
-j*(j + 1)*(5*j + 2)/4
Let y(n) be the first derivative of 0*n + 1 - 1/3*n**3 + n**2 - 3/2*n**4. Factor y(q).
-q*(2*q - 1)*(3*q + 2)
Let p(y) = -y**3 - 3*y**2 + 4*y + 6. Let w be p(-4). Suppose 0 = -6*j + 3*j + w. Find n such that -n**2 + n**2 - 3*n**j + n + 2*n**2 = 0.
0, 1
Let c be 3/(-3)*(-4 - -1). Suppose 5*m - 17 + 2 = 0. What is i in -i**4 + i**2 - 3*i**3 + 0*i - i + m*i**3 + i**c = 0?
-1, 0, 1
Let a(n) be the third derivative of 7*n**5/15 - n**4/2 - 9*n**2. Factor a(c).
4*c*(7*c - 3)
Suppose 3*z + 25 = 5*o, 3*o = 8*o - 25. Factor 6*g**3 + z*g**2 - 2*g**2 + g**3.
g**2*(7*g - 2)
Suppose 2*r + 8*r**2 + r**3 - 8*r**5 - 11*r**4 + 5*r**3 + 0*r**3 + 3*r**4 = 0. Calculate r.
-1, -1/2, 0, 1
Let y(d) = -10*d**2 + 4*d. Let z(h) = h**2 - h. Let i(j) = -y(j) - 8*z(j). Factor i(x).
2*x*(x + 2)
Factor k**4 - 2*k**4 - 12*k**3 + 4*k + 9*k**3.
-k*(k - 1)*(k + 2)**2
Let x(v) be the second derivative of -3*v**5/20 - 3*v**4/8 + 3*v**2/4 + 11*v. Find s such that x(s) = 0.
-1, 1/2
Let a = -10 - -13. Let u be 2 + ((-6)/1)/a. Let 1/3*l**3 + 2/3*l**2 + u + 1/3*l = 0. What is l?
-1, 0
Suppose 3*t + 7 = -2, 5*t + 15 = 4*q. Factor q - 2/5*x - 2/5*x**2.
-2*x*(x + 1)/5
Let i(k) = 3*k - 3. Let y be i(2). Factor -6*u**4 - 2*u**4 - 7*u**3 - 2*u**2 - 3*u**y.
-2*u**2*(u + 1)*(4*u + 1)
Let m(r) = -r - 3. Let w be m(-5). Let c be 2 + -2 + (-9)/(-18). Factor 0*z - 1/2*z**w + 0 + c*z**3.
z**2*(z - 1)/2
Let h(w) be the third derivative of 0 - 4*w**2 + 0*w**3 + 1/30*w**5 + 1/12*w**4 - 1/20*w**6 + 0*w - 1/84*w**8 - 1/21*w**7. Factor h(z).
-2*z*(z + 1)**3*(2*z - 1)
Factor 2/3*z**3 - 10/3*z**2 - 8/3 + 16/3*z.
2*(z - 2)**2*(z - 1)/3
Let a(b) be the first derivative of b**4 - 1/3*b**6 + 2 + 7*b**2 + 4*b - 4/5*b**5 + 16/3*b**3. Factor a(g).
-2*(g - 2)*(g + 1)**4
Solve -4/5*c**4 + 0 + 12/5*c**2 + 0*c**3 - 8/5*c = 0 for c.
-2, 0, 1
Let w(v) be the first derivative of v**6/4 - 3*v**4/8 + 4. Solve w(s) = 0 for s.
-1, 0, 1
Let u(g) be the first derivative of 1/3*g**3 + 0*g**2 + 1/4*g**4 + 0*g + 5. Let u(y) = 0. What is y?
-1, 0
Let p = 1/447 + 8039/3129. Factor 0 + 0*y - 4/7*y**3 - p*y**4 + 0*y**2 - 2*y**5.
-2*y**3*(y + 1)*(7*y + 2)/7
Let p = -14 + 20. Solve 2*b - 2*b**2 + 2*b**3 - p*b + 0*b + 0*b = 0.
-1, 0, 2
Suppose -4*h = -h. Determine s so that -2/9*s + 2/9*s**2 + h + 2/9*s**3 - 2/9*s**4 = 0.
-1, 0, 1
Factor 2/9*d**3 + 0*d - 4/9*d**2 + 0 + 2/9*d**4.
2*d**2*(d - 1)*(d + 2)/9
Let a(r) be the first derivative of r**7/1260 + r**6/540 - 5*r**3/3 - 2. Let l(j) be the third derivative of a(j). Find g such that l(g) = 0.
-1, 0
Factor 0 + 2/5*t + 2/5*t**2.
2*t*(t + 1)/5
Let y = 1/210 + 103/420. Let i(z) be the third derivative of -2/3*z**3 + 0*z + y*z**4 - 3*z**2 + 0 - 1/30*z**5. Solve i(u) = 0 for u.
1, 2
Let c(q) = -q**2 + 24*q + 29. Let p be c(25). Let o(s) be the first derivative of 18/7*s**3 - 27/14*s**p - 8/7*s + 0*s**2 + 2. Factor o(v).
-2*(3*v - 2)**2*(3*v + 1)/7
Let k(x) be the first derivative of x**4/6 - 4*x**3/7 - 4*x**2/7 + 2*x - 2. Let n(y) be the first derivative of k(y). Factor n(o).
2*(o - 2)*(7*o + 2)/7
Let d(o) be the second derivative of -o**4/36 - o**3/9 - 5*o. Suppose d(u) = 0. What is u?
-2, 0
Let b(s) be the second derivative of -s**7/13860 + s**6/3960 + s**5/330 - s**4/2 - s. Let i(d) be the third derivative of b(d). What is k in i(k) = 0?
-1, 2
Suppose 0 = 3*u - 5*a - 12, -3*u = -6*u - a + 12. Determine x so that -286/3*x**2 + 98*x**u - 259/3*x**3 + 343/3*x**5 - 28*x - 8/3 = 0.
-1, -2/7, 1
Let o(k) = k**4 + k**3 - 4*k**2 + 2. Let i(v) = v**4 - v**3 - v**2 + 1. Let z(l) = -2*i(l) + o(l). Factor z(y).
-y**2*(y - 2)*(y - 1)
Suppose -2*p = -7*p + 5, -3*b + 104 = 5*p. Let a be (-16)/88 - (-28)/b. Let 0*u - 2/3*u**4 + 2/3*u**5 - a*u**3 + 0 + 2/3*u**2 = 0. What is u?
-1, 0, 1
Let x be 18/(-2)*2/(-6). Suppose 5*i - 2 = w + x, 0 = -4*w - 2*i + 2. Factor 3/4*u**3 + w*u - 3/4*u**2 + 0.
3*u**2*(u - 1)/4
Suppose -5*r + 18 = -a, 0 = -4*r - 2*a - 2*a. Solve u**5 - 6*u**r - 3*u**4 + 4*u**5 - 2*u**5 = 0 for u.
-1, 0, 2
Let g(t) be the second derivative of -t**5/4 + 5*t**3/6 + 10*t. Determine k so that g(k) = 0.
-1, 0, 1
Let g(h) be the second derivative of 0*h**2 + 0*h**3 + 3/70*h**5 - 1/35*h**6 + 0 - 1/42*h**4 + 1/147*h**7 - h. Factor g(n).
2*n**2*(n - 1)**3/7
Let t(q) = 7*q**3 - 9*q + 8. Let y(m) = 64*m**3 - 80*m + 72. Let r(g) = -28*t(g) + 3*y(g). What is o in r(o) = 0?
-2, 1
Let n(d) = 2*d**2 + 8*d - 10. Let z be n(-5). Factor z - 2/5*b**2 + 0*b + 2/5*b**3.
2*b**2*(b - 1)/5
Let h(z) = 10 - 9*z + z**2 - 3 + 15*z. Let s be h(-5). Factor 2*d**3 - d**5 + s*d**4 + 3*d**5 + 2*d**4.
2*d**3*(d + 1)**2
Let j(i) be the second derivative of -3*i**4/4 - 11*i**3/2 + 6*i**2 - 38*i. Suppose j(z) = 0. What is z?
-4, 1/3
Let g(h) be the third derivative of 13/60*h**5 + 2/3*h**3 + 1/210*h**7 + 0*h + 0 - 1/2*h**4 - 1/20*h**6 - 3*h**2. Factor g(n).
(n - 2)**2*(n - 1)**2
Let q = -1001 + 1001. Factor 1/2*i**2 + q*i - 1/2.
(i - 1)*(i + 1)/2
Let g = 9 + -5. Let r(k) = 2*k**5 - k**4 + 3*k**3 - 7*k**2 - k - 4. Let z(t) = t**4 - t**3 + t**2 + 1. Let o(y) = g*z(y) + r(y). Solve o(h) = 0 for h.
-1, -1/2, 0, 1
Let a(q) be the second derivative of q**8/2240 - q**7/1260 - q**4/2 - 6*q. Let l(x) be the third derivative of a(x). Factor l(m).
m**2*(3*m - 2)
Let z(o) be the first derivative of o**4/20 + o**3/3 + 4*o**2/5 + 4*o/5 - 8. Solve z(p) = 0 for p.
-2, -1
Let p(g) be the second derivative of g**5/90 + g**4/27 + g**3/27 + g + 3. Let p(d) = 0. What is d?
-1, 0
Let a(v) be the third derivative of -v**7/1680 - v**6/180 - v**5/60 + v**3/3 - v**2. Let j(k) be the first derivative of a(k). Factor j(q).
-q*(q + 2)**2/2
Let q = 16 + -16. Let m be 4/(-2)*(2 - 3). Find y such that 1/3*y**3 - 1/3*y**m + q + 1/3*y**4 - 1/3*y = 0.
-1, 0, 1
Let 1/4*p - 1/8*p**5 + 0 - 3/8*p**4 + 3/8*p**2 - 1/8*p**3 = 0. Calculate p.
-2, -1, 0, 1
Let b(h) be the first derivative of 4*h**5/15 - h**4/3 - 4*h**3/9 + 2*h**2/3 + 22. Suppose b(y) = 0. Calculate y.
-1, 0, 1
Let p(v) be the third derivative of 0*v**4 + 0*v + 0*v**3 - 1/90*v**5 - 4*v**2 + 0. Factor p(o).
-2*o**2/3
Let p = 34 - 34. Let -1/2*z + 1/4*z**2 + p = 0. Calculate z.
0, 2
Let q(u) = -u**4 - u**2 + u. Let v(o) = -2*o**4 - 5*o**3 + 33*o**2 + 54*o + 12. Let r(c) = -2*q(c) - v(c). Factor r(m).
(m - 3)*(m + 2)**2*(4*m + 1)
Let r(o) be the second derivative of -1/2*o**2 + 0 + 2*o + 1/3*o**3 - 1/12*o**4. Factor r(l).
-(l - 1)**2
Let i be -3*15/9*-2. Let b be (-26)/i + (-9)/(-3). Factor -b*x - 1/5*x**2 + 0 + 7/5*x**5 - 19/5*x**4 + 3*x**3.
x*(x - 1)**3*(7*x + 2)/5
Let x(m) = -3*m**3 - m**2 + 3*m + 1. Let i be x(-2). Suppose i = 5*f + 5*b, 2*f + b = 11 - 4. Solve 3*u**3 + u**3 - 4*u**3 + 2*u**5 - 2*u**f = 0.
0, 1
Let q be (-2 - 12/(-10))*-1. Let x(z) = z**2 + 10*z + 18. Let g be x(-8). Suppose 0 + q*j - 16/5*j**g + 7/5*j**3 = 0. Calculate j.
0, 2/7, 2
Let g(t) = 4*t**4 - 10*t**3 + 6*t**2 + t. Let r(w) = w**4 - w**3 + w. Let a(x) = g(x) - r(x). Find m, given that a(m) = 0.
0, 1, 2
Let h(u) be the second derivative of u**4/24 - u**3/6 + u**2/4 + 8*u. Factor h(t).
(t - 1)**2/2
Factor 0*s**3 + 4/3*s**2 - 2/3*s**4 - 2/3 + 0*s.
-2*(s - 1)**2*(s + 1)**2/3
Let f = 44 + -40. Let g(s) be the second derivative of 0 - 1/3*s**3 + 1/3*s**f + 0*s**2 - s. Find v, given that g(v) = 0.
0, 1/2
Let r(c) be the third derivative of 0*c + 1/36*c*