 derivative of -1/24*s**4 + 1 - s + 1/4*s**2 + 0*s**3. Let a(y) be the first derivative of m(y). Determine z so that a(z) = 0.
-1, 1
Let v be -32 + 33 + (-6)/(-8). Solve -v*p**3 + 0 + 0*p - 1/2*p**2 = 0 for p.
-2/7, 0
Let q(y) = -5*y - 15. Let g be q(-3). Find r such that 2/3*r**4 + 0*r**2 + 1/3*r + g - r**3 = 0.
-1/2, 0, 1
Let u(w) be the second derivative of 0 - 1/48*w**4 + 0*w**2 - 1/120*w**6 - 3*w + 0*w**3 - 1/20*w**5 + 1/28*w**7. Suppose u(q) = 0. What is q?
-1/2, -1/3, 0, 1
Let y = -55/6 - -25/2. Determine k so that 4/3*k + 0 - y*k**2 = 0.
0, 2/5
Let r = -4 - 4. Let t be (-3)/4 - 22/r. Find a, given that 22*a - 3 + 0*a**t - 9*a**2 - 31*a - 3*a**3 = 0.
-1
Suppose 0 = 4*f + 5*c - 40, 5*c - 27 = -7. Let n be (-126)/(-48) + 18/48. Solve 8/5*l**2 + 0 + 1/5*l - 8/5*l**4 + 3*l**n - 16/5*l**f = 0 for l.
-1, -1/4, 0, 1
Let j = 4394/111 + 188/37. What is i in 56/3*i + 146/3*i**3 - 74/3*i**4 - j*i**2 + 14/3*i**5 - 8/3 = 0?
2/7, 1, 2
Factor 0*s - 10*s**2 - 2*s + 4*s**2 - 4*s**2.
-2*s*(5*s + 1)
Suppose -3*m + 10 = -17. Suppose 2*l + 6 = -2*o, -3*l - m = 4*o - 3*o. Let -2 - 2*r**2 + 3 + r**2 + o*r**2 = 0. Calculate r.
-1, 1
Let y(n) = -5 + 0 + n**2 + 3 + 11*n - 6. Let o(r) = r**2 + r. Let a(s) = -s**3 + 6*s**2 + 6*s + 6. Let m be a(7). Let u(p) = m*y(p) + 3*o(p). Factor u(q).
2*(q - 2)**2
Let d(a) be the first derivative of -25*a**4/48 + 5*a**3/6 - a**2/2 - 4*a - 2. Let j(f) be the first derivative of d(f). Let j(i) = 0. Calculate i.
2/5
Let q(a) be the third derivative of a**5/15 - 2*a**4/3 + 2*a**3 + a**2. Factor q(t).
4*(t - 3)*(t - 1)
Let y(f) be the second derivative of f**5/80 - 5*f**4/48 - f**3/24 + 5*f**2/8 - 14*f. Factor y(q).
(q - 5)*(q - 1)*(q + 1)/4
Let f(z) = z**3 + 6*z**2 + 6*z + 40. Let n be f(-6). Factor -2/5*b**5 + 2/5*b**n - 2/5*b**2 + 2*b**3 - 8/5 - 16/5*b.
-2*(b - 2)**2*(b + 1)**3/5
Let f = -3 + 3. Let r(s) be the second derivative of 0 + f*s**2 + 1/3*s**3 + s - 1/6*s**4. Determine o, given that r(o) = 0.
0, 1
Suppose s = -6*t + 2*t + 12, -2*t - 2*s = 0. Let 4*v**3 + 2*v**2 + 5*v**4 - 4*v**t + v**4 = 0. Calculate v.
-1, 0
Let n be (-16)/(-1) + (0 - 3). Let -3*u**4 + u**3 - n*u**5 + 12*u**5 + 3*u**4 = 0. Calculate u.
-1, 0, 1
Let z(u) be the third derivative of -u**8/70560 - u**7/17640 + u**6/1260 + u**5/20 + 6*u**2. Let a(l) be the third derivative of z(l). Factor a(w).
-2*(w - 1)*(w + 2)/7
Suppose 5*j - 14 = 1. Let x(m) be the third derivative of 3/8*m**4 + 0 + 0*m + 1/3*m**j - 3*m**2 + 7/60*m**5. Factor x(y).
(y + 1)*(7*y + 2)
Solve 0*d**2 + 0 + 4/9*d**3 + 0*d = 0.
0
Let j = -119/3 - -40. Factor 1/3*x - 1/3*x**3 + j*x**4 - 1/3*x**2 + 0.
x*(x - 1)**2*(x + 1)/3
Let v(c) = -6*c**4 + 16*c**3 + 4*c**2 + 8*c + 2. Let p(q) = q**4 - q**3 + q**2. Let h(g) = -8*p(g) - v(g). Let h(r) = 0. Calculate r.
-1
Let j = -87/2 - -45. Let w be (-144)/(-66) + (-4)/22. Suppose 1 - j*o - 5/2*o**w = 0. What is o?
-1, 2/5
Suppose 6 = -l - 0*l. Let c be l/(-72)*(-16)/(-6). Find o such that -c*o**3 - 2/3*o - 2/9 - 2/3*o**2 = 0.
-1
Let v(b) be the third derivative of 0*b**3 + 0*b + 0 - 2*b**2 + 1/270*b**5 - 1/108*b**4. Suppose v(s) = 0. Calculate s.
0, 1
Suppose -87*p + 85*p + 14 = 0. Let w(u) be the second derivative of -1/60*u**5 + 1/18*u**4 - 2/45*u**6 - 2*u + 0 + 0*u**2 + 1/42*u**p + 0*u**3. Factor w(m).
m**2*(m - 1)**2*(3*m + 2)/3
Let r(l) = 5*l + 3. Let t be r(-7). Let a = t + 34. Solve -2/3 + 5/3*p - 4/3*p**a + 1/3*p**3 = 0 for p.
1, 2
Let v be (-492)/(-3) - (7 - 4). Let m = 487/3 - v. Factor -m*f**2 - 2/3*f + 2/3.
-2*(f + 1)*(2*f - 1)/3
Let k(m) = m**2 - 3*m - 8. Let f = 19 - 16. Let h(d) = -3*d - 9. Let q(g) = f*k(g) - 2*h(g). Factor q(r).
3*(r - 2)*(r + 1)
Suppose 37*f = 13*f. Factor f + 2/3*l**4 - 6*l + 10/3*l**3 + 2*l**2.
2*l*(l - 1)*(l + 3)**2/3
Suppose x + 700 = -u + 6*u, -560 = -4*u - x. Let z = u - 698/5. Suppose 0 + 2/5*y**2 + 0*y**3 + 0*y - z*y**4 = 0. Calculate y.
-1, 0, 1
Let u(s) be the third derivative of 2*s**7/105 - s**6/10 + s**5/15 + s**4/2 - 4*s**3/3 - 17*s**2. Find a, given that u(a) = 0.
-1, 1, 2
Factor 32/11 - 16/11*r + 2/11*r**2.
2*(r - 4)**2/11
Factor q**4 - 2*q**3 + 13*q**2 + 12*q + 4 + q**3 + 7*q**3.
(q + 1)**2*(q + 2)**2
Let x(l) be the second derivative of -l**4/3 + 8*l**3/3 - 8*l**2 + 12*l. Suppose x(j) = 0. Calculate j.
2
Let k(n) be the second derivative of 5/84*n**4 + 2/21*n**3 - 1/30*n**5 + n**2 + 0 + n. Let i(d) be the first derivative of k(d). Suppose i(w) = 0. Calculate w.
-2/7, 1
Let x(v) be the first derivative of 7/3*v**3 - 4*v + 1 - 6*v**2. Factor x(y).
(y - 2)*(7*y + 2)
Let i(c) be the first derivative of 6*c**6/7 - 48*c**5/35 - 11*c**4/7 - 8*c**3/21 + 7. Factor i(u).
4*u**2*(u - 2)*(3*u + 1)**2/7
Suppose -2*s + 36 - 16 = 5*r, 0 = 3*s + 4*r - 16. Factor 0*z**2 + 0 + 2/9*z**5 + 2/9*z**3 + 4/9*z**4 + s*z.
2*z**3*(z + 1)**2/9
Let v be (5 + -5)/(1*(0 - 2)). Factor 4/7*n**2 - 2/7*n + 0*n**3 + v + 2/7*n**5 - 4/7*n**4.
2*n*(n - 1)**3*(n + 1)/7
Let v(j) = 10*j + 5. Let n be v(-4). Let y be 7/n - 16/(-5). Factor 0 + 0*r**2 - 2/3*r**y + 0*r**4 + 1/3*r + 1/3*r**5.
r*(r - 1)**2*(r + 1)**2/3
What is u in 13*u + 6*u**4 - u**2 - 2*u**2 + 6 - 9*u**4 - 4*u - 9*u**3 = 0?
-2, -1, 1
Let d be (-1)/2 - (-36)/8. Let h be (-2)/d*0 + 0. Factor -2/3*u**2 + h + 1/3*u + 1/3*u**3.
u*(u - 1)**2/3
Let l(c) = -c**2 - 33*c - 7. Let d(y) = -y**2 - 17*y - 3. Let a(v) = 7*d(v) - 3*l(v). Factor a(o).
-4*o*(o + 5)
Let d(z) be the first derivative of 2*z**5/25 - z**4/5 + 2*z**3/15 - 27. Find g such that d(g) = 0.
0, 1
Let m(l) be the first derivative of -l**2 + 2/3*l**3 + 0*l + 3. What is t in m(t) = 0?
0, 1
Let g(o) be the first derivative of 13*o**5/180 + 4*o**4/27 + 2*o**3/27 - 3*o**2 - 4. Let q(t) be the second derivative of g(t). Factor q(k).
(3*k + 2)*(13*k + 2)/9
Solve 2/11 + 4/11*b + 2/11*b**2 = 0.
-1
Let o(b) be the second derivative of b**5/36 - b**4/6 + 2*b**3/9 - b**2/2 + 7*b. Let c(j) be the first derivative of o(j). Determine k so that c(k) = 0.
2/5, 2
Suppose 0 = -20*y + 10*y. Determine c so that 4/5*c**3 + 0 - 2/5*c + y*c**4 - 2/5*c**5 + 0*c**2 = 0.
-1, 0, 1
Suppose -3*q + 10 = -5*g, -g - 8 = -5*q + 3*g. Let o(z) be the first derivative of q*z**2 - 1 - 1/3*z**3 - 1/4*z**4 + 0*z. Solve o(m) = 0 for m.
-1, 0
Let u = 7 + -5. Let j = -2 + u. Let -k**4 + 0 + 0*k + 1/2*k**3 + j*k**2 + 1/2*k**5 = 0. What is k?
0, 1
Let w be (-3)/(-2) + 13/26. Factor -2*t**3 + 6*t**w - 2*t - t**3 - 4*t + 3*t**2.
-3*t*(t - 2)*(t - 1)
Let s(w) be the first derivative of w**6/1800 - w**4/120 - 4*w**3/3 - 3. Let v(c) be the third derivative of s(c). Factor v(b).
(b - 1)*(b + 1)/5
Let w(u) be the first derivative of -4*u**6/21 - 22*u**5/35 - 3*u**4/7 + 16*u**3/21 + 10*u**2/7 + 6*u/7 - 4. Suppose w(m) = 0. Calculate m.
-1, -3/4, 1
Let y = -368 + 6631/18. Let r(k) be the first derivative of -40/9*k**3 + 5/2*k**2 - 2*k**5 + 2 + 25/6*k**4 + y*k**6 - 2/3*k. Factor r(f).
(f - 1)**4*(7*f - 2)/3
Factor 7*w**2 - w**2 + 8*w**3 + 2*w**4 + 2 + 8*w + 6*w**2.
2*(w + 1)**4
Let g be 8/28 + 38/14. Factor 1 - v**g + 3*v**2 + 3*v**2 - 8*v + 3 - v**2.
-(v - 2)**2*(v - 1)
Let s(r) = -r**5 + 3*r**4 - 5*r**3 - 7*r**2 + 6*r + 4. Let h(q) = -2*q**5 + 3*q**4 - 4*q**3 - 8*q**2 + 6*q + 5. Let c(l) = -4*h(l) + 5*s(l). Factor c(w).
3*w*(w - 1)**2*(w + 1)*(w + 2)
Let z(q) be the first derivative of -q**3/6 + 3. Solve z(w) = 0 for w.
0
Let h(c) be the second derivative of c**7/105 + c**6/75 - c**5/50 - c**4/30 + 3*c. Factor h(v).
2*v**2*(v - 1)*(v + 1)**2/5
Let c(o) = o**5 + 6*o**4 + 3*o**3 - o**2 - 3*o - 3. Let z(x) = x**5 + 5*x**4 + 2*x**3 - 2*x**2 - 2*x - 2. Let j(y) = -2*c(y) + 3*z(y). Factor j(l).
l**2*(l - 1)*(l + 2)**2
Let y = 338 - 1012/3. Factor 3*n**2 + y - 11/3*n.
(n - 1)*(9*n - 2)/3
Suppose 5*x = x. Let h(d) be the first derivative of x*d**3 + 9/2*d**2 + 6*d + 1 - 3/4*d**4. Factor h(k).
-3*(k - 2)*(k + 1)**2
Let b(f) be the first derivative of 2/15*f**5 - 3 + 0*f - 4/3*f**2 + 16/9*f**3 - 5/6*f**4. Factor b(u).
2*u*(u - 2)**2*(u - 1)/3
Let p(v) = v - 8. Let q be p(11). Let t(i) = 4*i**2 + 4*i - 7. Let r(d) = -2*d**2 - 2*d + 3. Let u(a) = q*t(a) + 7*r(a). Factor u(o).
-2*o*(o + 1)
Let q(b) be the second derivative of -b**4/60 + b**3/30 + 13*b. Suppose q(c) = 0. What is c?
0, 1
Let g(h) = h - 1. Let n be g(1). Factor 0*l**2 - 9/5*l**4 + 3/5*l**3 + n*l + 0.
-3*l**3*(3*l - 1)/5
Let