*z - 2)/7
Let v(a) be the first derivative of 2/3*a**3 + 0*a + 8 - 2/5*a**5 - a**2 + 1/2*a**4. Let v(n) = 0. What is n?
-1, 0, 1
Let i be (36/21)/(2/7). Let l be (10 - i) + (-42)/15. Find c such that -l*c**2 + 0 + 6/5*c**4 + 0*c + 3/5*c**3 - 3/5*c**5 = 0.
-1, 0, 1, 2
Let u(x) be the second derivative of -x**5/35 + 5*x**4/21 - 2*x**3/3 + 6*x**2/7 - 9*x. Factor u(h).
-4*(h - 3)*(h - 1)**2/7
Let r = 18 - 8. Let l be 2/r*1*6. Factor -4/5*g**2 + l*g**4 - 2/5 + 2/5*g**5 - 6/5*g + 4/5*g**3.
2*(g - 1)*(g + 1)**4/5
Let s(f) be the second derivative of 9/5*f**6 - 27/10*f**5 - 3*f**4 + 28/3*f**3 - 8*f**2 - f + 0. Factor s(l).
2*(l + 1)*(3*l - 2)**3
Let y = 32 - 32. Let f(t) be the first derivative of 1/12*t**3 + y*t**2 - 1/20*t**5 - 2 + 0*t + 1/16*t**4 - 1/24*t**6. What is i in f(i) = 0?
-1, 0, 1
Let t(b) = b**3 + 4*b**2 + 4*b + 2. Let m be t(-2). Solve -5/3*f**m - 7/3*f - 2/3 = 0 for f.
-1, -2/5
Let f(j) be the first derivative of 1 - 4/5*j - 2/5*j**2 - 1/15*j**3. Factor f(m).
-(m + 2)**2/5
Let s be 14/2 - 1 - 4. Factor -1/3*g**5 - 1/3*g**s + 0 + 0*g - g**3 - g**4.
-g**2*(g + 1)**3/3
Let h(b) be the second derivative of b**6/70 - b**4/28 - b. Factor h(g).
3*g**2*(g - 1)*(g + 1)/7
Suppose h**5 - 4 - 70*h**2 + 55*h + 80*h**4 - 20*h**3 - 36*h**5 - 6 = 0. Calculate h.
-1, 2/7, 1
Let u(y) = y**2 - 1. Let i be u(2). Factor -i*k**3 - 2*k + k - 3*k - 5*k**2 + 2*k.
-k*(k + 1)*(3*k + 2)
Suppose -h = 4*h - 10. Factor -4*g**h + 3*g**2 + 0*g**2 - g**2 - 8*g.
-2*g*(g + 4)
Let h(s) be the third derivative of s**8/84 + 2*s**7/21 + 3*s**6/10 + 7*s**5/15 + s**4/3 + 3*s**2. Let h(b) = 0. What is b?
-2, -1, 0
Let c(r) be the first derivative of -8/15*r**3 - 1/15*r**6 + 0*r + 3/10*r**4 - 5 - 4/5*r**2 + 4/25*r**5. Factor c(g).
-2*g*(g - 2)**2*(g + 1)**2/5
Let p be 21/36 + (1 - 15/12). Factor -1/3*b**3 + 0*b + 0 - p*b**4 + 0*b**2.
-b**3*(b + 1)/3
Suppose -2*a + 3*f + 10 = f, -4*a = 4*f - 4. Suppose 4*i + 6 = i, -i - 32 = -a*s. Solve 6*l - 2*l**4 + 16*l**3 - s*l**4 - 60*l**4 - 4 + 54*l**2 = 0 for l.
-1/2, 2/9, 1
Determine i, given that 2*i**3 - i**3 + i**4 + 0*i**5 - i**5 - i**2 = 0.
-1, 0, 1
Let f(c) be the first derivative of -c**3/4 + 1. Let f(t) = 0. What is t?
0
Suppose 4*x = 2*h - 2, -3*h = -x - 1 - 12. Let d(a) be the second derivative of -x*a + 1/4*a**2 + 0 + 1/48*a**4 - 1/8*a**3. Factor d(m).
(m - 2)*(m - 1)/4
Let u = 77 - 384/5. Factor -1/5*o**5 + u*o**2 + 0 + 0*o + 1/5*o**3 - 1/5*o**4.
-o**2*(o - 1)*(o + 1)**2/5
Find d such that 0 + 5/3*d**2 - 5/3*d**3 + 10/3*d = 0.
-1, 0, 2
Let k(b) = b**2 - 5*b + 6. Let f be k(5). Let r(d) = d**2 - 6*d + 3. Let q be r(f). Factor 2*o - 6 + o**2 + 10 - q*o**2.
-2*(o - 2)*(o + 1)
Let r(h) be the second derivative of h**4/4 + 3*h**3 + 12*h**2 + 18*h. Determine u so that r(u) = 0.
-4, -2
Let r be 4/(-6) - (-118)/6. Suppose -2*s = -4*c + r - 3, 0 = 2*c - 5*s - 24. Factor 0 - 1/2*j**c + 1/2*j**3 - j.
j*(j - 2)*(j + 1)/2
Let s(i) = -i**2. Let y(j) = 4*j**3 + 17*j**2 - 4*j - 20. Let w(q) = -3*s(q) + y(q). Factor w(k).
4*(k - 1)*(k + 1)*(k + 5)
Let g = 14 - 5. Let s be ((-9)/(-3))/(g/6). Solve -1/4 + 5/4*c - c**s = 0.
1/4, 1
Let h = -18 - -20. Let d(t) = t**2. Let a be d(h). Factor 4/3*x**2 - 2/3*x**a + 4/3*x**3 - 2/3*x - 2/3 - 2/3*x**5.
-2*(x - 1)**2*(x + 1)**3/3
Suppose 19*v = 23*v - 12. Let y(j) be the first derivative of -1/4*j + 1/12*j**v + 0*j**2 + 1. Let y(p) = 0. What is p?
-1, 1
Let p be (-6)/4 + 7/2. Let j(h) be the third derivative of 0 + 0*h**3 - h**p + 1/300*h**6 - 1/60*h**4 + 0*h**5 + 0*h. Factor j(u).
2*u*(u - 1)*(u + 1)/5
Suppose 2*h + 66 = 4*b, 0 = 6*b - 2*b + 4*h - 84. Let m be ((-6)/(-21))/(b/14). What is x in 4/3*x**3 - 26/9*x**2 + 8/3*x - m*x**4 - 8/9 = 0?
1, 2
Let q(i) be the third derivative of i**8/84 - 4*i**7/105 + 2*i**5/15 - i**4/6 + 21*i**2. Find d, given that q(d) = 0.
-1, 0, 1
Let z(a) be the second derivative of 1/4*a**4 - 1/2*a**3 - 5*a + 0 - 3*a**2. Let z(v) = 0. What is v?
-1, 2
Let j(p) be the second derivative of -p**4/66 - 20*p. Let j(x) = 0. What is x?
0
Let r(a) be the second derivative of -a**6/120 - a**5/10 - 3*a**4/8 - a**3 + a. Let b(l) be the second derivative of r(l). Factor b(p).
-3*(p + 1)*(p + 3)
Let v(r) be the second derivative of -r**4/28 - 4*r**3/21 - 2*r**2/7 - 3*r. Factor v(y).
-(y + 2)*(3*y + 2)/7
Suppose -4*h = 5 - 17. Factor 2*j**4 - 2*j - 2 + j**3 + 6*j - 5*j**h + 0*j**3.
2*(j - 1)**3*(j + 1)
Suppose -3/5 - 12/5*s**2 + 12/5*s = 0. Calculate s.
1/2
Suppose -5*y = -2*g + 31, -5 - 17 = g + 5*y. Let 0 - 2/3*t**4 + 0*t**g + 1/3*t**5 + 2/3*t**2 - 1/3*t = 0. Calculate t.
-1, 0, 1
Let z(v) = -5*v**2 - 2*v + 3. Let k(s) = -s**2 - s + 1. Let h(j) = -12*k(j) + 3*z(j). Solve h(w) = 0.
1
Let q be ((-12)/(-66))/((-12)/14). Let d = q - -115/231. Find w, given that 0 + 2/7*w**3 - d*w + 0*w**2 = 0.
-1, 0, 1
Let n = -35/3 + 37/3. Factor -n*k + 0 + 2/3*k**3 + 0*k**2.
2*k*(k - 1)*(k + 1)/3
Let p = -144 + 440/3. Determine w, given that 0 + 2/3*w - 2*w**2 - p*w**3 = 0.
-1, 0, 1/4
Let m(a) be the first derivative of a**4/18 - 2*a**3/27 + 26. Factor m(l).
2*l**2*(l - 1)/9
Let c(u) be the first derivative of -7/10*u**5 + 0*u**2 - 2/3*u**3 + 3/2*u**4 - 2*u + 2. Let g(n) be the first derivative of c(n). Suppose g(m) = 0. What is m?
0, 2/7, 1
What is t in -2/11*t**2 - 6/11*t**4 - 2/11*t**5 - 6/11*t**3 + 0 + 0*t = 0?
-1, 0
Suppose -33 - 12 = -4*y - 5*a, 3*a = y + 10. Let f be y/(-25) + (-17)/(-10). Suppose -3/2*t**3 + 0*t + f*t**4 + 1/2*t**2 + 0 - 1/2*t**5 = 0. Calculate t.
0, 1
Suppose 6*r = 10*r. Let w(h) be the second derivative of -1/18*h**4 + 1/3*h**2 + r*h**3 + 0 + 3*h. Factor w(q).
-2*(q - 1)*(q + 1)/3
Let w = 12 + -9. Suppose -5*k**3 + 39*k - 6 + 36*k**w - 12*k**4 + 20*k**3 - 72*k**2 = 0. Calculate k.
1/4, 1, 2
Let h be 0 + 2/(-1) - -5. Suppose -4*v - v + 45 = 0. Suppose 10*j**2 + v - 21*j - 1 + 5*j - 2*j**h = 0. Calculate j.
1, 2
Suppose 3 = -4*y + 3*c, -5*c - 1 = -y - 23. Suppose 5 = -3*x - 4*i - 9, y*i + 17 = x. Determine a so that 4 - 5 + 2*a + x*a**2 - 3 = 0.
-2, 1
Let n(f) be the third derivative of 0*f**5 + 0*f + 0*f**3 + 2/105*f**7 - 1/10*f**6 - 5*f**2 + 2/3*f**4 + 0. Determine m so that n(m) = 0.
-1, 0, 2
Let q(l) = 32*l**2 - 11*l - 5. Let t(x) = -129*x**2 + 45*x + 21. Suppose -21 = -v + 2*v. Let n(w) = v*q(w) - 5*t(w). Determine g, given that n(g) = 0.
0, 2/9
Let l(q) = q**2 - 20*q + 53. Let b be l(17). Factor 2*g + 7/4*g**3 + 1 - 19/4*g**b.
(g - 2)*(g - 1)*(7*g + 2)/4
Let m(b) be the third derivative of -b**8/84 + 2*b**7/105 + b**6/30 - b**5/15 - 22*b**2. Factor m(s).
-4*s**2*(s - 1)**2*(s + 1)
Find u such that 0 - 3/4*u**3 + 3*u**4 + 0*u - 9/4*u**5 + 0*u**2 = 0.
0, 1/3, 1
Let y = 14 + -10. Suppose 0*c = y*c - 16. Solve 0*f + 0 - 2/5*f**c + 2/5*f**5 + 0*f**3 + 0*f**2 = 0 for f.
0, 1
Let g = 12 - 8. Let h be (-167)/(-35) - (-3)/(-15). Factor -34*m**g - 8/7 + 46/7*m**2 - 14*m**5 + h*m - 134/7*m**3.
-2*(m + 1)**3*(7*m - 2)**2/7
Let r(d) = -d. Let z be r(-2). Suppose -9 = -z*a - a. Suppose 1/4*f + 5*f**a - 1/2 + 23/4*f**2 = 0. Calculate f.
-1, -2/5, 1/4
Let q = 15 + -15. Let v(u) be the third derivative of -1/60*u**6 + 2*u**2 + 0 + q*u + 0*u**3 - 1/30*u**5 + 0*u**4. Find p, given that v(p) = 0.
-1, 0
Let s = 260/3 + -86. Let o(z) be the second derivative of 3/4*z**3 - 1/10*z**6 + 1/84*z**7 + 7/20*z**5 - s*z**4 - 1/2*z**2 + 2*z + 0. Let o(i) = 0. Calculate i.
1, 2
Let w(f) be the first derivative of -3*f**4/16 + f**3/2 - 3*f**2/8 + 14. Find a, given that w(a) = 0.
0, 1
Let i be (-14)/(-1) + -3 + 2. Let w(q) = 4*q**2 + 6*q + 2. Let a(b) = -9*b**2 - 13*b - 4. Let d(o) = i*w(o) + 6*a(o). Find f, given that d(f) = 0.
-1, 1
Find y such that 5*y**3 - 5*y**3 + 15*y**2 - 4*y**3 - 3*y - 8*y**3 = 0.
0, 1/4, 1
Let i(s) be the third derivative of -s**5/120 + 5*s**4/48 + s**3/2 + s**2 + 9. Factor i(p).
-(p - 6)*(p + 1)/2
Let q(v) be the second derivative of -1/24*v**3 - 2*v + 0*v**2 - 1/24*v**4 + 0. Find m, given that q(m) = 0.
-1/2, 0
Let c(w) be the first derivative of w**3/7 + 9*w**2/14 + 6*w/7 - 1. Determine d, given that c(d) = 0.
-2, -1
Let z = 30 + 6. Let u be (-1)/(-9) + 8/z. Suppose 1/3*w**3 - 1/3*w + u*w**2 - 1/3 = 0. Calculate w.
-1, 1
Suppose -5*d = -3*d. Let a(c) be the third derivative of 2*c**2 + 0*c**3 + 0*c + 0 + d*c**4 - 1/90*c**5. Let a(j) = 0. What is j?
0
Solve -22/3*a**2 + 40/3*a + 8/