ivative of 2*f**7/21 + 2*f**6/15 - 3*f**5/5 - 5*f**4/3 - 4*f**3/3 - 9*f. Let n(w) = 0. What is w?
-1, 0, 2
Let z(u) = 7*u**2 + 10*u + 5. Let m(d) = -d**2 - 1. Let b(y) = 5*m(y) + z(y). Let b(h) = 0. Calculate h.
-5, 0
Let q(f) = -f**2 - f + 1. Let s(a) = -9*a**2 - 8*a + 12. Let b(k) = 24*q(k) - 3*s(k). Solve b(d) = 0 for d.
-2, 2
Suppose 0 - 1/6*m**5 - 1/6*m**2 - 1/2*m**3 + 0*m - 1/2*m**4 = 0. Calculate m.
-1, 0
Let l(h) be the first derivative of -1/4*h**4 + 0*h + 1/2*h**2 - 1/3*h**3 - 3 + 1/5*h**5. Factor l(d).
d*(d - 1)**2*(d + 1)
Let v = 32 - 30. Let s(b) be the first derivative of 4/3*b**2 - 4/3*b + v - 1/3*b**3. Factor s(l).
-(l - 2)*(3*l - 2)/3
Let m(i) be the second derivative of i**5/10 + i**4/2 - 3*i**3 + 5*i**2 + 3*i - 2. Factor m(s).
2*(s - 1)**2*(s + 5)
Suppose -27*i - 3*a = -29*i + 15, -5*i = 3*a + 15. Factor 4/5*l**4 + 2/5*l**5 + 0 + 0*l + 2/5*l**3 + i*l**2.
2*l**3*(l + 1)**2/5
Let v be 4 - 2/6*0. Let s = v + -2. Factor -h**4 + 0 + 1/2*h - 3/2*h**3 + 0*h**s.
-h*(h + 1)**2*(2*h - 1)/2
Solve 4/13*h**2 - 2/13 - 2/13*h**4 + 0*h**3 + 0*h = 0.
-1, 1
Let z(w) be the first derivative of w**4/42 + w + 6. Let n(q) be the first derivative of z(q). Factor n(k).
2*k**2/7
Determine h, given that 7*h**2 + 40*h - 3*h**2 - h**2 + 20 + 12*h**2 = 0.
-2, -2/3
Let r(o) be the second derivative of -o**5/10 - 5*o**4/21 + o**3/21 + 4*o**2/7 - o + 20. Find c such that r(c) = 0.
-1, 4/7
Let m(g) be the first derivative of 1/10*g**4 + 1/5*g**2 + 0*g + 4/15*g**3 - 4. Let m(z) = 0. What is z?
-1, 0
Let l = -228 + 231. Solve 3/7*q + 1/7 + 3/7*q**2 + 1/7*q**l = 0.
-1
Let o be (-8)/(-5) - 4/(-10). Determine h, given that 2*h + 2*h**2 - 2 + o + 0 = 0.
-1, 0
Let q(p) be the first derivative of p**4/2 - 8*p**3/3 + 3*p**2 + 2. Determine r so that q(r) = 0.
0, 1, 3
Let y(n) = -n**2 - n - 1. Let j(i) = -7*i**2 - 15. Let c(u) = j(u) - 6*y(u). Determine g so that c(g) = 0.
3
Let z(c) = c + 10. Let y be z(-7). Let j(t) be the first derivative of 4*t**2 - y*t - 2 - 6*t**2 + t**3 + 2*t**2. Factor j(w).
3*(w - 1)*(w + 1)
Suppose -6*g + 3*g + 12 = 0. Let w = 50 + -47. Factor -1 - o**2 + 3*o + w - g.
-(o - 2)*(o - 1)
Let a = 113 + -79. Suppose 2*z = -3*b + 16, 3*z - 5*b + 8 + 6 = 0. Suppose 3 - 2 + 23*m**4 + 24*m**z + 6*m**5 + 8*m + 0*m**4 + a*m**3 = 0. Calculate m.
-1, -1/2, -1/3
Let c(j) be the first derivative of j**8/224 - j**7/140 - j**6/80 + j**5/40 - 7*j**2/2 - 8. Let t(z) be the second derivative of c(z). Factor t(h).
3*h**2*(h - 1)**2*(h + 1)/2
What is d in 66*d**2 - 3*d**4 - 18*d**3 + 50*d**3 + 40*d + 8 - 2*d**4 - 12*d**5 - 9*d**4 = 0?
-1, -2/3, -1/2, 2
Factor 0*i**2 + 0*i + 0 - 20/9*i**4 - 2/9*i**5 - 50/9*i**3.
-2*i**3*(i + 5)**2/9
Let l be (-49)/(-63)*(-4)/(-14). Find u, given that 4/9*u**3 - 2/9 - 4/9*u + 0*u**2 + l*u**4 = 0.
-1, 1
Determine b so that 2/9*b**2 + 2/9*b**5 + 0 - 2/9*b**3 - 2/9*b**4 + 0*b = 0.
-1, 0, 1
Let s = 16 - 11. Let a(t) = -2 - s*t + 2*t**2 + 2 - 6 - t**2. Let j(y) = -2*y**2 + 4*y + 6. Let k(l) = -5*a(l) - 4*j(l). Determine n, given that k(n) = 0.
-2, -1
Factor 3/5*h - 3/5*h**3 - 6/5 + 6/5*h**2.
-3*(h - 2)*(h - 1)*(h + 1)/5
Let p(s) = s**2 + 20*s + 36. Let x be p(-18). Solve 2/5*t**2 + x + 0*t = 0.
0
Let f be (0 - -1) + 7 + -4. Suppose 0 + 0*y**3 + 2/7*y**f - 6/7*y**2 + 4/7*y = 0. Calculate y.
-2, 0, 1
Let h = -1156 - -1156. Suppose h*v**2 + 0*v + 0*v**4 - 1/5*v**5 + 0 + 1/5*v**3 = 0. What is v?
-1, 0, 1
Let u(b) be the first derivative of -b**5/15 + b**4/12 + 7*b**3/9 - b**2/6 - 2*b - 54. Let u(j) = 0. What is j?
-2, -1, 1, 3
Let c = -17 + 19. Let z = 20/39 - -2/13. Determine a so that -z*a**2 - c*a - 4/3 = 0.
-2, -1
Let x = -1288 - -1291. Factor 3/4*b**5 + 0*b**2 + 0*b**x + 0 + 3/2*b**4 + 0*b.
3*b**4*(b + 2)/4
Let g(y) be the third derivative of y**2 + 1/9*y**4 - 1/315*y**7 - 1/9*y**3 - 1/15*y**5 + 0 + 1/45*y**6 + 0*y. Suppose g(w) = 0. Calculate w.
1
Let x be 315/50 - 5 - (-3)/(-6). Solve -8/5 - 4/5*b + x*b**3 + 8/5*b**2 = 0.
-2, -1, 1
Let o be 7 + -10 + 4 + 2. Factor 2*i**2 + 13*i**3 - 4 + 14*i**2 + 2*i - 2*i**o - i**3.
2*(i + 1)**2*(5*i - 2)
Suppose -2*i - 16 = -10*i. Find o such that -2/7*o + 2/7*o**5 + 0*o**3 + 0 + 4/7*o**i - 4/7*o**4 = 0.
-1, 0, 1
Let z(r) be the third derivative of -r**7/1260 + r**6/720 + 2*r**2. Suppose z(p) = 0. What is p?
0, 1
Let z(m) = -984*m**2 + 140*m - 1. Let b(i) = -8855*i**2 + 1260*i - 10. Let n(r) = 4*b(r) - 35*z(r). Suppose n(p) = 0. Calculate p.
1/14
Factor 1/4*u**3 + u**2 + 0 + u.
u*(u + 2)**2/4
Let r = -14 - -17. Let z(g) be the first derivative of -3 + 1/3*g**2 - 1/9*g**r - 1/4*g**4 + 0*g. Factor z(u).
-u*(u + 1)*(3*u - 2)/3
Let j(q) = q**2 + 4*q - 3. Let k be j(-5). Let a(z) be the second derivative of 0*z**4 - 1/45*z**6 + 0*z**3 + 0 + 0*z**5 + 0*z**k - 2*z. What is n in a(n) = 0?
0
Suppose 16*x = 8*x. What is c in 0*c**4 + 0 + 0*c + 0*c**3 - 2/7*c**5 + x*c**2 = 0?
0
Let g(o) = 19*o**3 - 5*o**2 - 100*o - 32. Let y(u) = -18*u**3 + 6*u**2 + 99*u + 33. Let v(m) = -3*g(m) - 4*y(m). Solve v(r) = 0.
-2, -2/5, 3
Determine i so that -9*i + 5*i**3 + 4 + 1 + 15*i**2 + 24*i = 0.
-1
Let i(n) be the first derivative of n**4/12 - n**3/2 + n**2 + 2*n - 3. Let t(m) be the first derivative of i(m). Factor t(l).
(l - 2)*(l - 1)
Let x(f) = -f**2 + 4*f - 1. Let c be x(2). Let z**4 + c*z**3 - z**2 + 0*z**2 + z + 3*z - 7*z = 0. What is z?
-3, -1, 0, 1
Determine h so that -h**5 + h**4 + 0*h**5 - 5*h**4 - h**4 - 4*h**3 = 0.
-4, -1, 0
Let t be 2*(-3)/12*224/(-42). Solve -10/3*f + 2/3*f**2 + t = 0.
1, 4
Let p be (-1 + 1)/((-25)/(-5)). Factor 1/2*n**3 + 0*n**2 + p - 1/2*n.
n*(n - 1)*(n + 1)/2
Let r(g) = g**3 + 4*g**2 + 3*g - 4. Let l(c) = -c**3 - c**2 - c + 1. Let f(j) = 6*l(j) + 3*r(j). Solve f(q) = 0.
-1, 1, 2
Suppose -3*m + 6*m - 1 = -5*j, -8 = -2*j - 5*m. Let w(h) = -h**4 - h**3 + h**2 + h. Let g(a) = 4*a**4 - 2*a**3 - 2*a. Let z(f) = j*g(f) - 2*w(f). Factor z(s).
-2*s**2*(s - 1)**2
Solve 6 - 34*t - 15*t**4 - 6*t**4 + 27*t**3 + 3*t**2 + 7*t + 12*t**2 = 0.
-1, 2/7, 1
Let t(k) be the third derivative of k**7/525 + k**6/50 - 11*k**5/150 - k**4 + 20*k**3/3 - 57*k**2. Suppose t(c) = 0. Calculate c.
-5, 2
Factor 0 - 1/3*m**3 - 7/6*m**4 + 14/3*m**2 + 4/3*m.
-m*(m - 2)*(m + 2)*(7*m + 2)/6
Suppose 0 = 4*x + x - 165. Suppose -6*q**3 - x*q**3 - 6*q**2 + 50*q**2 - 13*q**3 + 12*q**4 - 24 + 20*q = 0. What is q?
-2/3, 1, 3
Let q(a) = 2*a + 7. Let d be q(-3). Let v be (d - 1)/(5 + -3). Find j, given that v*j**2 + 1/3*j**3 - j + 2/3 = 0.
-2, 1
Let x(m) = m**2 - 1 + 1 - 1 - 1 + 5*m. Let v be x(-6). Let i - i**5 - 2*i**2 + 0*i + 4*i**2 - 2*i**v + 0*i**4 = 0. Calculate i.
-1, 0, 1
Let p = 83 + -83. Let b(g) be the third derivative of 0 + 0*g + 3*g**2 + 1/8*g**4 + p*g**3 + 1/20*g**5. Factor b(j).
3*j*(j + 1)
Let g be 26/40*-3 - -2. Let d(j) be the first derivative of 0*j**2 + 0*j + 2 - g*j**5 + 0*j**3 - 1/16*j**4. Determine l, given that d(l) = 0.
-1, 0
Let c(u) = 11*u - 5. Let o be c(-6). Let y = 215/3 + o. Factor -g**3 + 0*g + y*g**2 + 0.
-g**2*(3*g - 2)/3
Solve -2/9*h + 4/9 - 2/3*h**2 = 0 for h.
-1, 2/3
Factor 156*q + 4*q**4 - 8*q**2 - 156*q + 4.
4*(q - 1)**2*(q + 1)**2
Let v(z) = z + 0*z**3 - 6*z**2 + z + 6*z**3. Let r(b) = b**3 - b**2. Let s(t) = 21*r(t) - 3*v(t). Let s(g) = 0. Calculate g.
-1, 0, 2
Let c(h) = h**4 + 5*h + 5. Let g(n) = n**4 + n + 1. Let r(x) = c(x) - 5*g(x). What is f in r(f) = 0?
0
Let w(r) be the third derivative of -4*r**2 + 0*r - 1/10*r**6 - 1/4*r**4 + 7/20*r**5 + 0 - 1/2*r**3. Suppose w(y) = 0. Calculate y.
-1/4, 1
Let y(m) = -20*m**2 - 168*m - 164. Let k(q) = 7*q**2 + 56*q + 55. Let j(b) = 8*k(b) + 3*y(b). Factor j(v).
-4*(v + 1)*(v + 13)
Solve 4/3 - 32*d**2 + 50/3*d**3 + 208*d**4 + 96*d**5 - 2*d = 0 for d.
-2, -1/3, 1/4
Suppose -1/2*s**4 - 1/6*s**5 - 1/6*s**2 + 0 - 1/2*s**3 + 0*s = 0. What is s?
-1, 0
Let j(m) be the first derivative of -m**6/240 - m**5/120 + m**4/48 + m**3/12 + m**2/2 - 2. Let n(a) be the second derivative of j(a). Factor n(g).
-(g - 1)*(g + 1)**2/2
Let m = 12 - 12. Let f(j) be the third derivative of 0*j**6 + 0*j - 1/15*j**3 + 0*j**4 + 1/75*j**5 + m - 2*j**2 - 1/525*j**7. Factor f(n).
-2*(n - 1)**2*(n + 1)**2/5
Determine c so that 18*c - 50*c**2 + 27 + 30*c**2 + 23*c**2 = 0.
-3
Let g(h) be the first derivative of h**5/15 - h**4/3 + 8*h**2/3 - 16*h/3 - 2. Solve g(v) = 0.
-2, 2
Let t = 8 + 