erivative of 0*z - 1 + 1/12*z**4 + 0*z**3 - 1/6*z**2. Solve f(n) = 0 for n.
-1, 0, 1
Let l(i) be the second derivative of 1/7*i**2 + 0 + 2/21*i**3 - 13*i + 1/42*i**4. Factor l(s).
2*(s + 1)**2/7
Suppose 3*h - 4*h - 2*s = 0, h + 5*s = -6. Factor -1/4*y + 0 + 1/4*y**3 + 1/4*y**h - 1/4*y**2.
y*(y - 1)*(y + 1)**2/4
Let f be ((-64)/12 - 0 - -6)*3. Find y, given that -1/7*y**f + 5/7*y + 0 = 0.
0, 5
Let l(c) be the second derivative of 0 + 0*c**2 + 1/12*c**4 - 20*c + 1/126*c**7 - 1/9*c**3 + 1/60*c**5 - 1/30*c**6. Suppose l(a) = 0. Calculate a.
-1, 0, 1, 2
Find t such that -16 - 16*t**3 + 4 - 20*t**3 + 3*t**5 + 21*t**2 - 9*t**4 + 33*t**3 = 0.
-1, 1, 2
Factor 2/9*z**4 + 8/3*z**3 + 8/3*z - 14 + 76/9*z**2.
2*(z - 1)*(z + 3)**2*(z + 7)/9
Let i be 6/(-9) + 116/12. Suppose 10*t - 4*t = i*t. What is u in 0*u + 1/7*u**2 + t = 0?
0
Let o(l) be the third derivative of -5*l**8/336 - 5*l**7/14 - 37*l**6/12 - 11*l**5 - 15*l**4 - 87*l**2. Suppose o(m) = 0. Calculate m.
-6, -2, -1, 0
What is i in 4/7*i + 0 - 19/7*i**2 = 0?
0, 4/19
Let l(d) be the first derivative of -5/4*d**4 - 24 - d**5 + 0*d + 10*d**2 + 20/3*d**3. Factor l(h).
-5*h*(h - 2)*(h + 1)*(h + 2)
Let w = 30 - 14. Factor 4 - 2*v**2 - 10 - w*v + 7*v - v**2.
-3*(v + 1)*(v + 2)
Suppose -k = 2*k - 3. Let g be ((-2)/(-5))/(k/10). What is y in -1 - g*y - 5*y + 3*y**3 - 1 - 4 = 0?
-1, 2
Let y(z) = -z**3 - 45*z**2 - 16*z + 5. Let v(d) = d**3 + 67*d**2 + 24*d - 8. Let b(i) = 5*v(i) + 8*y(i). Factor b(g).
-g*(g + 8)*(3*g + 1)
Let l(x) be the second derivative of -x**8/8400 - x**7/1050 + 4*x**4/3 - 18*x. Let w(i) be the third derivative of l(i). Determine p so that w(p) = 0.
-3, 0
Solve 22/7*c - 20/7 - 2/7*c**2 = 0 for c.
1, 10
Let u(f) be the third derivative of -f**6/60 - 16*f**5/45 - 17*f**4/9 - 32*f**3/9 - 209*f**2. Factor u(h).
-2*(h + 2)*(h + 8)*(3*h + 2)/3
Let q = -2176/7 - -313. Factor -12/7 + q*a - 3/7*a**2.
-3*(a - 4)*(a - 1)/7
Let n(z) = -z**3 - 22*z**2 - z - 18. Let y be n(-22). Let v be (-3)/18*(-8)/(-24)*-3. Solve -v*h**y + 0*h + 1/3*h**3 + 0 - 1/6*h**2 = 0.
0, 1
Suppose -3*c - 90 = -6*c. Factor 5*r - 15*r - 25*r - 5*r**3 - c*r**2 - 5*r.
-5*r*(r + 2)*(r + 4)
Let t(u) be the first derivative of -u**3 + 99*u**2/2 + 102*u - 32. Factor t(n).
-3*(n - 34)*(n + 1)
Let z(f) = -2*f**3 + 2*f**2 - 3*f - 2. Let a(r) = -r**3 + r**2 - 1. Let j = -12 + 13. Let w(l) = j*z(l) - 5*a(l). Factor w(b).
3*(b - 1)**2*(b + 1)
Let d(o) be the second derivative of 49*o**6/180 + 7*o**5/12 - 199*o**4/72 + 23*o**3/9 - o**2 - 27*o - 3. Find p, given that d(p) = 0.
-3, 2/7, 1
Let n = 6 - 3. Suppose n*m - 2*m = 2. Let a + 5*a + 3*a**m + 0*a = 0. Calculate a.
-2, 0
Factor -2/7*l**3 + 18*l + 60/7*l**2 + 64/7.
-2*(l - 32)*(l + 1)**2/7
Suppose 10*c = -0*c - 1360. Let b be 1/(-7) + (-1)/(70/c). Suppose 12/5*k + 36/5*k**2 + 0 + 33/5*k**3 + b*k**4 = 0. Calculate k.
-2, -1, -2/3, 0
Let w(j) be the second derivative of -j**4/6 + 11*j**3/3 - 18*j**2 + 3*j + 8. Find q, given that w(q) = 0.
2, 9
Suppose -2*y + 6 + 10 = 5*f, -y + 8 = -3*f. Let l(w) be the second derivative of -4/3*w**3 + y*w**2 + 1/12*w**4 + w + 0. What is j in l(j) = 0?
4
Factor 2 - 36 - 2*t**2 - 36*t**3 - 9 + 46*t**2 + 208*t - 5.
-4*(t - 3)*(t + 2)*(9*t - 2)
Let u(n) be the second derivative of 0*n**2 + 3*n + 1/8*n**3 - 1/120*n**6 + 1/48*n**4 - 3/80*n**5 + 0. Factor u(v).
-v*(v - 1)*(v + 1)*(v + 3)/4
Let i(n) be the first derivative of -n**6/2 + 7*n**5/12 - 5*n**4/24 + 17*n**2/2 - 6. Let q(a) be the second derivative of i(a). Find f such that q(f) = 0.
0, 1/4, 1/3
Let r = -10 - -3. Let u = -3 - r. Factor -7*f**2 - 3*f - 2 + 2 + u*f**2.
-3*f*(f + 1)
Let u be (-96)/(-2464) - (3/21)/(-1). Factor -u*l**3 - 4/11*l**2 + 0 + 6/11*l.
-2*l*(l - 1)*(l + 3)/11
Let j(q) be the second derivative of 0 + 1/4*q**4 + 11*q + 24*q**2 - 4*q**3. Find p, given that j(p) = 0.
4
Let u(o) be the first derivative of o**5/15 + 13*o**4/12 - o**3/3 - 37*o**2/6 + 26*o/3 + 427. Suppose u(t) = 0. What is t?
-13, -2, 1
Let a be 6/4*(-2)/(-3). Let b(i) = -i**2 - i + 1. Let h(k) = -5. Let g(f) = a*h(f) + 5*b(f). Suppose g(s) = 0. What is s?
-1, 0
Let h(x) = -11*x**2 - 38*x + 42. Let t(o) = -5*o**2 - 17*o + 22. Let l(w) = 4*h(w) - 9*t(w). Factor l(r).
(r - 5)*(r + 6)
Let u(w) be the first derivative of w**7/28 - w**6/20 - 3*w**5/20 - 6*w - 18. Let f(a) be the first derivative of u(a). Factor f(b).
3*b**3*(b - 2)*(b + 1)/2
Let i(l) = 6*l**3 + 31*l**2 - 25*l + 32. Let a(v) = v**3 + 6*v**2 - 5*v + 6. Let j(o) = 22*a(o) - 4*i(o). Solve j(g) = 0.
1, 2
Let x be (-136)/153*-3 + (-2)/3. Factor 0 + 12/13*l + 2/13*l**x + 2/13*l**4 - 8/13*l**3.
2*l*(l - 3)*(l - 2)*(l + 1)/13
Factor 99/5*z**2 - 3/5*z**3 - 204/5 + 108/5*z.
-3*(z - 34)*(z - 1)*(z + 2)/5
Suppose -5*w = 4*i - 4*w + 48, -12 = i - w. Let y be ((-36)/7)/(i/42). Solve -12*c + 4*c**2 + y*c + 26*c + 64 = 0 for c.
-4
Let o be (48/(-192))/(7/126*(-1 + 0)). Let k = 71/14 + -4/7. Factor o*p**2 - 3/2*p**3 + 3/2 - k*p.
-3*(p - 1)**3/2
Let o(y) be the first derivative of 5/14*y**4 - 5/7*y**2 + 6/7*y**3 - 10 - 4/7*y - 2/5*y**5. Suppose o(r) = 0. What is r?
-1, -2/7, 1
Suppose 5*d - 9 + 36 = u, -13 = -4*u + d. Suppose -3*a = 4*h - 15, -2*a = -3*h + 3*a + 33. Let -w**2 - 3*w**u + 0*w + 3*w**2 - 9 + h*w = 0. What is w?
3
Let f(i) be the first derivative of 7*i**4 + 100*i**3 + 96*i**2 - 80*i - 626. Determine r, given that f(r) = 0.
-10, -1, 2/7
Let n(h) be the first derivative of -h**4/6 + 10*h**3/9 + 2*h**2 - 83. Find f such that n(f) = 0.
-1, 0, 6
Suppose -4*f - 4*v + 8 = 0, 2*f - 6 = -f + v. Suppose 70*a - 60*a = 0. Suppose 0 + a*p - 14/9*p**3 + 4/9*p**f = 0. Calculate p.
0, 2/7
Let k(b) = b**3 + b**2 + 2. Let a(s) = 4*s**3 - 18*s**2 + 58*s - 36. Let t(c) = -a(c) + 2*k(c). Determine o, given that t(o) = 0.
1, 4, 5
Let d(m) be the first derivative of -m**6/6 - 2*m**5/5 + m**4/4 + 2*m**3/3 + 59. Determine q, given that d(q) = 0.
-2, -1, 0, 1
Suppose 8*l - 51 - 37 = 0. What is f in 4*f**3 - 8 + 3 - 16*f**2 - 4*f**2 - l + 32*f = 0?
1, 2
Let p be -10 - -12 - (-15 + -1). Factor -p*d**2 + 3*d + 3*d**5 - 3*d**3 + 18*d**2 - 3*d**3.
3*d*(d - 1)**2*(d + 1)**2
Let l(t) = -t**3 + 11*t**2 - 13*t + 23. Let h be l(10). Let b be (-4)/8 - 0 - h/2. Factor 1/4*n**2 - 1/4*n**b - 1/4 + 1/4*n.
-(n - 1)**2*(n + 1)/4
Let o(v) be the first derivative of v**6/54 - v**4/12 - 2*v**3/27 + 42. Suppose o(d) = 0. What is d?
-1, 0, 2
Let g be (-4)/(-18)*13566/35. Let z = g - 86. Factor -z*c**4 + 0*c**2 - 4/15*c**3 + 0*c + 0.
-2*c**3*(c + 2)/15
Factor 51*r + 47*r**2 + 14 + 19*r**2 - 10 - 15*r**3 - 34.
-3*(r - 5)*(r + 1)*(5*r - 2)
Let p be (90/24)/(2/8). Factor 3*d**4 - 12*d**3 - 10*d + d + p*d**2 + 3*d.
3*d*(d - 2)*(d - 1)**2
Let q(d) = 2*d**3 + 7*d + 6. Let p be q(-1). Let m be 3 + -4 - (-3 + p). Factor -3/5*f**2 + 0*f + 0 - 3/5*f**m + 3/5*f**3 + 3/5*f**4.
-3*f**2*(f - 1)**2*(f + 1)/5
Let n(f) be the third derivative of 0 + 0*f + 2/3*f**3 + 2/3*f**4 + 1/15*f**5 + 6*f**2. Let y(x) = x**2 + x + 1. Let r(p) = n(p) - 8*y(p). Solve r(v) = 0.
1
Let t(y) be the first derivative of y**5/150 - y**4/30 + y**3/15 + 11*y**2/2 + 2. Let b(u) be the second derivative of t(u). Let b(m) = 0. Calculate m.
1
Let -16/11*f - 2/11*f**3 + 2*f**2 - 40/11 = 0. What is f?
-1, 2, 10
Let j = 30 - 32. Let l be (-324)/(-315) - j/5. Factor 4/7 - l*v**2 + 6/7*v.
-2*(v - 1)*(5*v + 2)/7
Let n = -1862 + 1864. Factor 0*s + 0*s**n - 6/5*s**3 + 3/5*s**4 + 0.
3*s**3*(s - 2)/5
Let i(f) be the second derivative of 2*f**7/63 - 4*f**6/15 - 8*f**5/15 + 2*f**4/3 + 14*f**3/9 + 55*f. What is q in i(q) = 0?
-1, 0, 1, 7
Factor -9*c - 21/2 + 3/2*c**2.
3*(c - 7)*(c + 1)/2
Suppose 0 = -761*i + 765*i - 12. Let s(j) be the first derivative of -9 + 1/6*j**i + 0*j + 0*j**2 + 1/16*j**4. Let s(a) = 0. Calculate a.
-2, 0
Solve 0 + 5/2*s**4 + 15/2*s**2 + 0*s + 10*s**3 = 0 for s.
-3, -1, 0
Let i(g) be the third derivative of -g**7/630 + g**6/135 + g**5/30 + 5*g**3/2 - 30*g**2. Let q(f) be the first derivative of i(f). Factor q(j).
-4*j*(j - 3)*(j + 1)/3
Let s(r) be the second derivative of -r**5/40 + 19*r**4/24 - 16*r**3/3 + 15*r**2 + 382*r. Factor s(j).
-(j - 15)*(j - 2)**2/2
Let p be -2 - ((-30)/360)/((-1)/(-26)). Let m(j) be the second derivative of 1/15*j**6 + 6*j - p*j**4 + 0 - 2/3*j**3 + 1/5*j**5 + 0*j**2. Factor m(s).
2*s*(s - 1)*(s + 1)*(s + 2)
Suppose -45 =