*2. Let x(p) = 11*g(p) - 4*n(p). Find c such that x(c) = 0.
-1, 0, 1, 5
Let b = 101/182 + -5/91. Factor 1/2*z**4 - 1/2*z**3 + b*z + 0 - 1/2*z**2.
z*(z - 1)**2*(z + 1)/2
Let k(c) be the first derivative of 7*c**6/900 - c**5/150 - 4*c**3/3 + 1. Let o(f) be the third derivative of k(f). Find v, given that o(v) = 0.
0, 2/7
Let 24*b**4 + 6*b + 3*b**5 - 9*b**5 + 4 - 8*b**5 - 28*b**2 + 0 + 8*b**3 = 0. Calculate b.
-1, -2/7, 1
Let u(t) = t**3 + 7*t**2 - 8*t + 3. Suppose 32 = 3*j - 7*j. Let v be u(j). Factor 6*r**3 + r**v - 2 + 0 + 5*r**4 - 7*r - 3*r**2.
(r - 1)*(r + 1)**2*(5*r + 2)
Suppose t + 9 = 3*y - 0*t, -3*t + 1 = 5*y. Suppose c - 13 = -10. Factor -c*p**3 + 7/5*p**y - 1/5*p + 9/5*p**4 + 0.
p*(p - 1)*(3*p - 1)**2/5
Let j be (-1)/(-4) - 237/852. Let y = 128/497 - j. Factor y*m**2 - 2/7*m + 0.
2*m*(m - 1)/7
Let k = -4 + 6. Let q be 4 + (1 - 3) - k. Let 1/2*v**2 + q*v + 0 = 0. What is v?
0
Let m be (-2)/12*9/(-6). Let p(w) be the first derivative of 2 - 1/2*w + m*w**2 + 1/6*w**3 - 1/8*w**4. Factor p(x).
-(x - 1)**2*(x + 1)/2
Let l(k) be the second derivative of -k**7/105 - k**6/120 + k**5/60 + 3*k**2 + 6*k. Let v(p) be the first derivative of l(p). Solve v(g) = 0 for g.
-1, 0, 1/2
Factor -42*t**3 - 35*t + 82*t**2 + 24*t - 8 + 19*t + 0.
-2*(t - 2)*(3*t + 1)*(7*t - 2)
Suppose -30*g**2 - 1/2*g**4 - 7*g**3 - 25*g + 125/2 = 0. Calculate g.
-5, 1
Factor 5/2*b**2 - 25/2 - 10*b.
5*(b - 5)*(b + 1)/2
Let k(h) = 1 - 10*h - 7*h + 18*h + 2*h**2. Let a be k(-1). Factor -1/2*t - 1/4*t**a + 0.
-t*(t + 2)/4
Let k(o) be the second derivative of 0*o**2 + 0 + 1/105*o**6 + 0*o**3 + 1/70*o**5 - 2*o - 1/21*o**4. Factor k(f).
2*f**2*(f - 1)*(f + 2)/7
Determine s so that 2/15*s + 0 + 2/15*s**2 = 0.
-1, 0
Let g = 176/7 - 25. Let u(t) be the second derivative of -3*t + 1/105*t**6 - 1/21*t**4 - 1/35*t**5 + 1/147*t**7 + g*t**2 + 1/21*t**3 + 0. Factor u(j).
2*(j - 1)**2*(j + 1)**3/7
Suppose 4*h = h. Let l be h - 4/10*-1. What is n in 2/5 - 4/5*n - l*n**4 + 4/5*n**3 + 0*n**2 = 0?
-1, 1
Let m(k) be the first derivative of -8/15*k**3 - 2/5*k**2 + 0*k - 3 - 1/25*k**5 - 1/4*k**4. Determine i, given that m(i) = 0.
-2, -1, 0
Suppose 2*j + 3*j = 0, 4*j = -5*q + 20. Factor 2*b**4 - 4*b + 4*b**3 - 5*b**q + 9*b**4 - 10*b**2 + 4*b**4.
2*b*(b - 1)*(b + 1)*(5*b + 2)
Suppose -2*a + 20 = 2*a. What is p in 2*p**2 + p - 4*p**3 - p**a + 4*p - 7*p**4 + 3*p**4 + 2 = 0?
-2, -1, 1
Let a = 16 + -13. Let c(k) be the second derivative of 1/5*k**5 - 1/2*k**4 + 0*k**a + k**2 + 0 - k. Suppose c(l) = 0. What is l?
-1/2, 1
Let p(r) = 4*r - 7. Let f be p(-6). Let s = f + 45. Find j such that -j - s*j**2 + 8*j**3 - 4 + 5*j + 6 = 0.
-1/4, 1
Let k = 234 - 232. Factor 15/4*h**3 + 0 + 21/4*h**k + 3/2*h.
3*h*(h + 1)*(5*h + 2)/4
Suppose -2/9 - 4/3*f - 16/9*f**2 = 0. What is f?
-1/2, -1/4
Let f(k) be the first derivative of 0*k**2 - 1/4*k**4 + 3/5*k**5 - 4 + 0*k + 0*k**3. Factor f(w).
w**3*(3*w - 1)
Let t(v) be the second derivative of -v**8/112 + v**7/35 - v**6/40 + 5*v**2/2 + 7*v. Let s(c) be the first derivative of t(c). Factor s(d).
-3*d**3*(d - 1)**2
What is r in 4*r**3 - 3*r + 0*r - 9*r + 12 - 12*r**2 + 8*r = 0?
-1, 1, 3
Factor 7*t**2 + 4*t**3 + 108*t + t**3 - 103*t + 3*t**2.
5*t*(t + 1)**2
Let q = 28 - 18. Suppose -4*c + q = 3*s, 2*s = c + 3*c. Solve 2*w - 15*w - w + 10*w**s + 4 = 0.
2/5, 1
Let n = 18 + -10. Let g(b) be the third derivative of -4/315*b**7 + 0*b**3 - 1/36*b**4 + 0 - 2*b**2 + 0*b - 1/30*b**6 - 2/45*b**5 - 1/504*b**n. Factor g(f).
-2*f*(f + 1)**4/3
Let y(q) be the second derivative of q**5/70 + q**4/21 + q**3/21 + 5*q. Factor y(d).
2*d*(d + 1)**2/7
Let d(g) = -2*g**2 + 14*g + 4. Let q(a) = -a - 1. Let z(x) = d(x) + 8*q(x). Factor z(l).
-2*(l - 2)*(l - 1)
Let w(s) = -s**2 + 3*s - 2. Let a be 3*(-1 - 15/(-9)). Let k be w(a). Solve 2*o**2 + o - o**5 + 0*o + k*o**2 - 2*o**4 = 0.
-1, 0, 1
Let w(u) be the first derivative of u**6/6 - u**5/5 - u**4/4 + u**3/3 + 2. Determine r so that w(r) = 0.
-1, 0, 1
Factor 16/11 - 24/11*u - 2/11*u**3 + 12/11*u**2.
-2*(u - 2)**3/11
Let w(k) be the first derivative of -k**7/840 - k**6/240 - 3*k**2/2 - 4. Let o(g) be the second derivative of w(g). Factor o(t).
-t**3*(t + 2)/4
Let a = -77 + 77. Factor -2/9*x**4 + 4/9*x**3 + a*x**2 + 2/9 - 4/9*x.
-2*(x - 1)**3*(x + 1)/9
Let t be (-1)/(1/(-2 - 0)). Factor -p**4 - 3*p**3 + t + 3*p + p**2 + 0*p**3 - p**2 - p**2.
-(p - 1)*(p + 1)**2*(p + 2)
Let s(j) be the first derivative of 1/36*j**4 + 2/27*j**3 + 1/2*j**2 + 2 + 1/270*j**5 + 0*j. Let y(r) be the second derivative of s(r). Solve y(w) = 0 for w.
-2, -1
Let z(d) be the third derivative of -d**6/60 + d**5/30 + 28*d**2. Solve z(p) = 0.
0, 1
Suppose -2*h - 1 = -5. Suppose -v**3 + v + 1 - 1 - 1 + v**h + 0 = 0. What is v?
-1, 1
Let m = 6 + -3. Determine c so that -57*c + 58*c + 3*c**3 + 2*c**2 - 2*c**m = 0.
-1, 0
What is l in 0*l**2 + 2*l - 3*l**2 - 4*l + 0*l - l**3 = 0?
-2, -1, 0
Let g(v) be the first derivative of 3*v**5/20 + v**4/2 + 6*v - 1. Let a(j) be the first derivative of g(j). Factor a(x).
3*x**2*(x + 2)
Let t(z) be the third derivative of z**8/80640 + z**7/3360 + z**6/320 - z**5/30 + 6*z**2. Let w(g) be the third derivative of t(g). Let w(l) = 0. Calculate l.
-3
Let g = 1/4 - -1/4. Let z(v) be the second derivative of v + 0 + 1/4*v**4 + g*v**2 + 1/2*v**3 + 1/20*v**5. Let z(b) = 0. What is b?
-1
Let j be -3*(0 + -1 - 0). Let -14*n**2 - 23*n + 7*n**3 - 15*n - 18 + 8*n - 9*n**j = 0. Calculate n.
-3, -1
Let f(a) be the third derivative of 10*a**2 + 0*a + 1/90*a**5 - 1/36*a**4 + 0 + 1/27*a**3 - 1/540*a**6. Factor f(d).
-2*(d - 1)**3/9
Let j(b) be the second derivative of b**7/252 - b**5/30 - 36*b. Determine o, given that j(o) = 0.
-2, 0, 2
What is r in 2/5 + 4/5*r**3 - 4/5*r + 0*r**2 - 2/5*r**4 = 0?
-1, 1
Let p(b) = b**4 + 2*b**3 - b**2. Let m(r) = r**4 - 11*r**4 + 3*r**2 - 4*r**3 + 8*r**4. Let w(t) = -2*m(t) - 5*p(t). Suppose w(i) = 0. What is i?
-1, 0
Let u(f) = -15*f**2 + 54*f - 15. Let t(i) = 15*i**2 - 53*i + 16. Let k(j) = -3*t(j) - 2*u(j). Factor k(o).
-3*(o - 3)*(5*o - 2)
Solve -24/5*h + 4/5*h**2 + 8/5*h**3 - 18/5 - 2/5*h**4 = 0 for h.
-1, 3
Let g = -5 - -11. Factor -4*c**5 + 2*c - 5*c - 6*c**4 + 4*c**5 + g*c**2 + 3*c**5.
3*c*(c - 1)**3*(c + 1)
Factor 5/3*w**2 - 1/3*w**3 + 4/3 - 8/3*w.
-(w - 2)**2*(w - 1)/3
Solve 0*a + 0 - 1/5*a**2 + 1/5*a**3 = 0.
0, 1
Let z be (-7 + 6 - (-4)/2)*0. Let x(m) be the third derivative of 1/4*m**3 - 2*m**2 - 1/24*m**4 + z*m + 0 - 1/120*m**5. Find h such that x(h) = 0.
-3, 1
Factor 1/3*i**4 + 0*i + 0 - 2/3*i**3 + 1/3*i**2.
i**2*(i - 1)**2/3
Suppose 3*n - 2*n = -2*m + 12, -3*n = -m - 8. Suppose d = 2*y - 0 - n, -d = 5*y - 24. Factor 0*j - y*j**2 + 8*j**4 - 2*j**3 + 8*j**5 - 4*j**3 + 2*j.
2*j*(j + 1)**2*(2*j - 1)**2
Let l(h) be the second derivative of -h**5/100 - 3*h**4/20 - 9*h**3/10 - 27*h**2/10 - 6*h. Factor l(o).
-(o + 3)**3/5
Let j(d) be the first derivative of -2*d**5/25 - 9*d**4/10 - 18*d**3/5 - 27*d**2/5 + 27. Factor j(z).
-2*z*(z + 3)**3/5
Let y = -10 + 15. Let u(o) = 5 - o**4 - y. Let a(k) = -12*k**3 + 12*k**2. Let g(b) = -a(b) + 3*u(b). What is q in g(q) = 0?
0, 2
Let l = 0 + 4. What is f in -l + 1 + 3*f**4 + 6*f - 4 + 4 - 6*f**3 = 0?
-1, 1
Let o(i) be the third derivative of -i**7/210 - i**6/60 + i**5/60 + i**4/12 - 26*i**2. Factor o(j).
-j*(j - 1)*(j + 1)*(j + 2)
Suppose -5*q = -4*q - 6. Suppose 0 = q*w - 2*w - 12. Find s, given that -2*s**3 - 2*s**2 + 0 - 4*s**3 + 2*s + 4*s**w + 2 = 0.
-1, 1
Let o(y) be the second derivative of y**7/280 + y**6/160 + y**2/2 - 3*y. Let i(n) be the first derivative of o(n). Factor i(w).
3*w**3*(w + 1)/4
Determine h, given that -16*h - 16*h**3 + 11*h - 10*h**2 + 11*h = 0.
-1, 0, 3/8
Let -2*d**3 + 2*d**4 - 40*d**5 + 6*d**3 + 36*d**5 - 4*d**2 + 2*d**4 = 0. What is d?
-1, 0, 1
Let n(f) be the second derivative of f**5/4 - 5*f**4/4 + 5*f**3/3 + 6*f. Determine s, given that n(s) = 0.
0, 1, 2
Suppose -1/3*t**3 + 0 + 1/3*t + 1/3*t**4 - 1/3*t**2 = 0. What is t?
-1, 0, 1
Let n(l) be the second derivative of -3*l**6/2 + 5*l**5 + 25*l**4/12 - 50*l**3/3 + 10*l**2 + 13*l. Determine z, given that n(z) = 0.
-1, 2/9, 1, 2
Let r(h) be the first derivative of -h**9/6048 + h**8/1680 - h**7/1680 + 2*h**3/3 - 2. Let i(d) be the third derivative of r(d). Factor i(g).
-g**3*(g - 1)**2/2
Let l(w) be the second derivativ