 7. Let z(f) = 0. What is f?
-1, 0, 1
Factor 0 + 1/3*k**3 - 1/3*k + 0*k**2.
k*(k - 1)*(k + 1)/3
Let m(s) be the third derivative of s**6/120 + s**5/30 - s**4/6 - s**3/6 - s**2. Let i be m(-3). What is z in 2*z - z**2 + 0*z**i - z**2 = 0?
0, 1
Let g(q) = -15*q**4 - 50*q**3 - 90*q**2 - 75*q - 25. Let f(z) = -8*z**4 - 25*z**3 - 45*z**2 - 38*z - 13. Let w(d) = -5*f(d) + 3*g(d). Factor w(c).
-5*(c + 1)**3*(c + 2)
Let i be (276/(-22))/(-3) - (-4)/(-22). Let t(m) = 11*m**2 - m. Let y be t(-1). Find j, given that 4 - 2 - 4*j**2 - 10*j**i + y*j**4 = 0.
-1, 1
Let g(f) be the third derivative of 2/105*f**7 - 1/168*f**8 + f**2 + 0*f**6 + 1/12*f**4 + 0*f**3 - 1/15*f**5 + 0*f + 0. Factor g(n).
-2*n*(n - 1)**3*(n + 1)
Let s be ((-7)/(-4))/1 - 5/(-20). Let -2/5*f**s - 8/5*f - 6/5 = 0. Calculate f.
-3, -1
Let h(z) = 1 + z**3 - z**2 + z + 0*z**3 - 2*z + 0*z. Let f be h(1). Factor -1/2*d + 0*d**2 + 1/2*d**3 + f.
d*(d - 1)*(d + 1)/2
Factor -4/7*i**2 + 4/7*i**3 + 0 + 0*i.
4*i**2*(i - 1)/7
Let d = 1 + -2. Let r be 5 - (d - (-3)/1). Factor 2*w**4 - 3*w**3 - 2*w**2 + 4*w**5 - 2*w**5 + w**r.
2*w**2*(w - 1)*(w + 1)**2
Let a(b) be the first derivative of -2/15*b**3 + 6 + 1/5*b**2 + 4/5*b. Factor a(k).
-2*(k - 2)*(k + 1)/5
Let b(u) be the second derivative of 8*u**6/15 + 19*u**5/5 + 9*u**4 + 16*u**3/3 - 8*u**2 - 21*u. Solve b(c) = 0.
-2, -1, 1/4
Let w(f) = -f**3 - 6*f**2 + 4*f - 16. Let o be w(-7). Factor 0 - 14/3*u**4 + 8/3*u**o + 0*u + 4/3*u**3 + 2/3*u**2.
2*u**2*(u - 1)**2*(4*u + 1)/3
Let g(a) be the third derivative of -a**6/780 + a**5/390 + a**4/156 - a**3/39 + 3*a**2. Factor g(h).
-2*(h - 1)**2*(h + 1)/13
Let g be (-3)/((-45)/2) - (-372)/310. Factor -2/3*t**2 + g - 2/3*t.
-2*(t - 1)*(t + 2)/3
Let q(p) be the second derivative of 1/12*p**4 + 0 + 5*p + 0*p**3 - 1/20*p**5 + 1/42*p**7 - 1/30*p**6 + 0*p**2. Factor q(w).
w**2*(w - 1)**2*(w + 1)
Suppose -6*g = -4*g - 10. Let f(t) be the first derivative of -1/2*t + 1/12*t**3 - 1 + 3/16*t**4 + 1/20*t**g - 3/8*t**2. Factor f(m).
(m - 1)*(m + 1)**2*(m + 2)/4
Suppose 7*n - 10 = 2*n. Suppose n*q + 5*w = -0*w - 17, -5*w - 5 = 5*q. Let 6*u**4 + 6*u**3 - 11*u**q - 10*u**5 + 14*u**2 - 9*u**4 + 4*u = 0. Calculate u.
-1, -2/5, 0, 1
Let g(d) be the first derivative of 1 - d**2 + 2/3*d**3 + 0*d. Find t, given that g(t) = 0.
0, 1
Let l(g) be the first derivative of 0*g + 0*g**3 - 1/24*g**4 + 0*g**2 - 4. Factor l(u).
-u**3/6
Let r = -25 - -26. Let d be (-2 + 1 + r)/(-1). Factor d*x + 0*x**2 + 0 - 2/7*x**4 + 2/7*x**5 + 0*x**3.
2*x**4*(x - 1)/7
Let l(y) be the first derivative of -y**7/21 - y**6/15 + y**5/10 + y**4/6 + 2*y - 2. Let b(o) be the first derivative of l(o). Factor b(u).
-2*u**2*(u - 1)*(u + 1)**2
Factor 12/5 + 0*w - 3/5*w**2.
-3*(w - 2)*(w + 2)/5
Let s(v) be the second derivative of -3*v**7/28 - 4*v**6/15 - v**5/8 + v**4/12 - 6*v. Find f such that s(f) = 0.
-1, 0, 2/9
Find g, given that 8/13 - 2/13*g**2 + 6/13*g = 0.
-1, 4
Let x be (-46)/4*(-54)/63 - 6. Factor -x - 3/7*i**2 + 18/7*i.
-3*(i - 3)**2/7
Let y(c) be the third derivative of 0*c + 7*c**2 - 1/15*c**5 + 0 - 1/20*c**6 + 0*c**3 + 1/12*c**4. Determine l so that y(l) = 0.
-1, 0, 1/3
Suppose 4*i - v = i - 2, i + 4*v = 21. Let b = 1 - i. Factor -3*k**2 - 2*k**3 - 1 + 3*k**2 + k**4 + b*k**2 + 2*k.
(k - 1)**3*(k + 1)
Let x(q) be the first derivative of -q**2 - 1/6*q**4 + 4 - 2/3*q**3 - 2/3*q. Find u such that x(u) = 0.
-1
Find i such that -18/13 - 2/13*i**2 + 12/13*i = 0.
3
Let v(z) be the first derivative of 2*z**3/3 + 11*z**2 + 18. Let v(l) = 0. Calculate l.
-11, 0
Let z = 22/3 - 7. Solve 0*l + 0*l**2 - z*l**4 + 0*l**3 + 0 - 1/3*l**5 = 0.
-1, 0
What is t in -5/3*t + 5/3*t**3 - 4/3*t**4 + 1/3 + t**2 = 0?
-1, 1/4, 1
Let i be 2/2 + (2 - (-8)/(-3)). Let j(w) be the first derivative of -1/2*w**2 + 0*w - i*w**3 + 3. Determine n, given that j(n) = 0.
-1, 0
Let v be 1/1*2/1. Factor -5*k**2 + 2*k + 4*k + k**v + k**2.
-3*k*(k - 2)
Suppose 2*o = 3*k - 31, 0 = 4*k - 18 - 2. Let x = o - -8. Suppose 1/2 - 1/2*i**2 + x*i = 0. What is i?
-1, 1
Let j(u) be the first derivative of u**3/18 - 8. Determine c, given that j(c) = 0.
0
Let u(n) = -n + 11. Let q be u(12). Let h(c) = -c**4 - 1. Let y(l) = 6*l**4 + 2*l**3 + 4. Let i(m) = q*y(m) - 4*h(m). Determine f, given that i(f) = 0.
-1, 0
Let s = -37 + 37. Let 1/3*b**4 + 0*b**3 + 0*b**2 + s*b + 0 + 2/3*b**5 = 0. What is b?
-1/2, 0
Let i(f) be the first derivative of -f**8/336 - f**7/210 + 2*f**2 + 4. Let b(r) be the second derivative of i(r). Find q, given that b(q) = 0.
-1, 0
Let x(y) be the third derivative of -y**7/5460 + y**6/780 - y**5/260 + y**4/156 - y**3 + y**2. Let z(n) be the first derivative of x(n). Factor z(r).
-2*(r - 1)**3/13
Let v(o) be the third derivative of o**6/720 - o**5/40 + o**4/6 - 4*o**3/9 - 9*o**2. Factor v(p).
(p - 4)**2*(p - 1)/6
Let l = -671 + 673. Let 3/5*a - 2/5 - 1/5*a**l = 0. What is a?
1, 2
Let y be (-38)/(-18) + (-6)/3. Find c, given that -1/3*c**4 + 0 - 2/9*c + 1/9*c**5 + 1/3*c**2 + y*c**3 = 0.
-1, 0, 1, 2
Let d(q) be the third derivative of -q**7/1470 + q**6/840 + q**5/420 - q**4/168 + 59*q**2. Find i, given that d(i) = 0.
-1, 0, 1
Factor 0*k + 3/4*k**4 + 6*k**2 + 4*k**3 - 4.
(k + 2)**3*(3*k - 2)/4
Let l(c) = -7*c**5 + 2*c**4 - 8*c**2 + 7*c. Let q(f) = -f**5 - f**2 + f. Let m(b) = l(b) - 6*q(b). Find n, given that m(n) = 0.
-1, 0, 1
Suppose b - 2 + 0 = 0. Let u be 4/16 + 2/8. Solve u + 3/4*a + 1/4*a**b = 0.
-2, -1
Factor -5*h**3 - h**4 + 5*h**4 - h**5 - 4*h**2 + h**2 + 5*h**2.
-h**2*(h - 2)*(h - 1)**2
Let k(i) be the second derivative of i**4/3 + 4*i**3 + 21*i**2/2 + 6*i. Let n(d) = d**2 - 1. Let l(p) = -k(p) - 5*n(p). Suppose l(o) = 0. Calculate o.
-4/3
Let m(z) be the third derivative of z**8/504 - z**6/180 - 2*z**2. Let m(w) = 0. Calculate w.
-1, 0, 1
Let f(l) = 35*l**3 - 265*l**2 + 230*l + 20. Let j(b) = 5*b**3 - 38*b**2 + 33*b + 3. Let s(q) = 3*f(q) - 20*j(q). What is u in s(u) = 0?
0, 1, 6
Let x(s) = 5*s**2 + 13*s + 5. Let k(f) = 40*f**2 + 105*f + 40. Let h(m) = -3*k(m) + 25*x(m). What is c in h(c) = 0?
-1
Let u = 15 + -13. Suppose u*w = -0*w. Factor w*c - 2/3*c**2 + 1/3*c**4 + 0 + 1/3*c**3.
c**2*(c - 1)*(c + 2)/3
Let b be -1*-1*(1 - -1). Let k(g) = -4*g + 6 + 3*g + 9*g**b + 2*g. Let o(h) = 8*h**2 + h + 5. Let y(i) = -6*k(i) + 7*o(i). Factor y(m).
(m + 1)*(2*m - 1)
Let 3*x**2 - 14*x - 10 - x**2 + 22*x = 0. What is x?
-5, 1
Factor 3/5*d**2 - 4/5 + 0*d - 1/5*d**3.
-(d - 2)**2*(d + 1)/5
Suppose -2*b + 6 = 5*p, 0*p - 5*p + 16 = -3*b. Find q such that 2/7*q**3 + p*q + 6/7 + 10/7*q**2 = 0.
-3, -1
Let d = -120 - -219. Let z be (-10)/(-9) - (-22)/d. Factor 0 - 8/9*b**4 + z*b**3 + 2/9*b - 8/9*b**2 + 2/9*b**5.
2*b*(b - 1)**4/9
Suppose 2*j + 4*r = 6*j, j = -5*r + 24. Solve -3 - 9*z**2 - 2*z**4 + 10*z**3 - 78*z**3 - 22*z**j + 19*z - 3*z**3 + 16*z**5 = 0 for z.
-1, 1/4, 3
Let s = -10 - -13. Let b(y) be the second derivative of 1/45*y**5 + 0*y**s + 1/135*y**6 - 1/54*y**4 - 2/189*y**7 - y + 0*y**2 + 0. Find x such that b(x) = 0.
-1, 0, 1/2, 1
Let u(g) be the first derivative of -g**5/90 - 2*g**4/27 - 5*g**3/27 - 2*g**2/9 + g - 2. Let s(z) be the first derivative of u(z). Factor s(m).
-2*(m + 1)**2*(m + 2)/9
Let f be (1 + -4)*(-20)/15. Factor -12*s**2 + s - 18*s**3 + s**5 - 12*s**4 + 4*s**5 - f*s - 8*s**5.
-3*s*(s + 1)**4
Let h(t) be the second derivative of -t**6/90 - t**5/12 - t**4/6 + 2*t**3/9 + 4*t**2/3 - t. Factor h(u).
-(u - 1)*(u + 2)**3/3
Let u(k) be the first derivative of -3*k**5/5 - 15*k**4 - 100*k**3 + 16. Factor u(a).
-3*a**2*(a + 10)**2
Let n(h) = h**2 - 6*h - 2. Let m be n(6). Let d be (14/(-3))/m + -2. Factor 1/3*i**3 + 0 + d*i**4 - 1/3*i**5 + 0*i - 1/3*i**2.
-i**2*(i - 1)**2*(i + 1)/3
Suppose -3*b + 5*u + 38 = 0, 0*u = 2*u + 8. Suppose 2 - z**4 + b*z**2 - 5 + 0*z**4 - 2*z**4 = 0. What is z?
-1, 1
Let g(c) be the second derivative of c**4/42 - 22*c**3/21 + 121*c**2/7 - 16*c. What is x in g(x) = 0?
11
Let a(b) be the second derivative of b**5/50 - b**4/30 - 2*b**3/15 + 2*b. Factor a(n).
2*n*(n - 2)*(n + 1)/5
Let u be -3*((-3)/3 - 0). Let x(t) be the first derivative of 1/4*t**4 - 2/5*t**5 + 1/6*t**6 + 0*t**2 + 0*t + 0*t**u + 1. Find r such that x(r) = 0.
0, 1
Let c(l) be the third derivative of -l**6/180 + 2*l**5/45 - l**4/9 + 6*l**2. Determine o so that c(o) = 0.
0, 2
Let q be 3 + -2 + (128/(-12) - -