l) = 0.
-2, -1, -1/3, 1
Let n(h) be the first derivative of 0*h**2 - 9/5*h**5 - 8 - h**3 + 3*h**4 + 0*h. Suppose n(o) = 0. Calculate o.
0, 1/3, 1
Suppose -15/2*f**3 + 3/2*f**4 + 3 - 21/2*f + 27/2*f**2 = 0. What is f?
1, 2
Suppose -4 - 5 = -3*g. Find m such that -6*m**g - 2*m**2 + 5*m**4 + 8*m**5 - 3*m**2 - 2*m - 3*m**2 + 3*m**4 = 0.
-1, -1/2, 0, 1
Let n(l) be the second derivative of -l**7/70 + 3*l**6/25 - 21*l**5/50 + 4*l**4/5 - 9*l**3/10 + 3*l**2/5 + 8*l. Suppose n(r) = 0. Calculate r.
1, 2
Let q = 1103 + -13175/12. Let c = q - 19/4. Determine d, given that -1/3*d**3 - 1/3*d**2 + c*d**4 + 1/3*d + 0 = 0.
-1, 0, 1
Let s(u) be the first derivative of 5*u**6/6 - 19*u**5/5 + 13*u**4/2 - 14*u**3/3 + u**2/2 + u - 6. Find o, given that s(o) = 0.
-1/5, 1
Let r = -18 + 0. Let o be r*1*(-14)/105. Factor 0 - 12/5*x**2 + 18/5*x**3 + 3/5*x**5 - o*x**4 + 3/5*x.
3*x*(x - 1)**4/5
Let j(g) be the third derivative of -g**7/420 + g**6/48 - g**5/15 + g**4/12 - 6*g**2. Suppose j(c) = 0. Calculate c.
0, 1, 2
Solve 0*w**2 + 4*w**3 + w - 2 + 2*w**4 + 0*w**2 - 5*w = 0.
-1, 1
Suppose -20*l + 21 = -13*l. What is k in -2/9*k**l + 0 + 0*k + 0*k**2 = 0?
0
Factor -2*o**3 + 0 + 4/3*o + 2/3*o**2.
-2*o*(o - 1)*(3*o + 2)/3
Let g(b) be the first derivative of -1/180*b**6 + 1/2*b**2 - 1/36*b**4 - 1/45*b**5 + 0*b**3 - 1 + 0*b. Let f(u) be the second derivative of g(u). Factor f(t).
-2*t*(t + 1)**2/3
Suppose -1 = 4*l - 5*l. Suppose 4*j - 9 = -l. Factor 2*s**j - 2/3*s - 4/3.
2*(s - 1)*(3*s + 2)/3
Let p(b) be the third derivative of -b**5/30 - b**4/12 + 2*b**3/3 - 21*b**2. Factor p(v).
-2*(v - 1)*(v + 2)
Let o(f) = 2*f**3 + f**2 - f. Let d(v) = -12*v**3 + 3*v**2 - v. Let t(w) = d(w) + 5*o(w). Factor t(h).
-2*h*(h - 3)*(h - 1)
Let m(v) be the third derivative of 1/27*v**4 + 0*v - 1/540*v**6 - 5*v**2 - 8/27*v**3 + 1/135*v**5 + 0. Factor m(l).
-2*(l - 2)**2*(l + 2)/9
Suppose 0 = 5*f + 5*l - 5, 0 = f - 0*l - 2*l - 7. Solve 4/5*m**2 - 6/5*m**f + 0*m + 0 = 0.
0, 2/3
Let b(f) be the first derivative of 0*f - 5 - 2/5*f**3 + 2/25*f**5 + 2/5*f**2 + 0*f**4. What is j in b(j) = 0?
-2, 0, 1
Let h(s) be the third derivative of s**8/3024 - s**6/1080 - 16*s**2. Factor h(i).
i**3*(i - 1)*(i + 1)/9
Let z(k) be the first derivative of -2*k**6/3 + k**4 + 8. Factor z(j).
-4*j**3*(j - 1)*(j + 1)
Let z(n) be the second derivative of n**4/30 + n**3/15 + 17*n. Factor z(x).
2*x*(x + 1)/5
Let f(m) be the second derivative of m**8/560 + m**7/280 - 2*m**3/3 - m. Let b(n) be the second derivative of f(n). Factor b(p).
3*p**3*(p + 1)
Let q be -5 - 6/((-210)/205). Factor 0 - 2/7*h**4 - 2/7*h - 6/7*h**2 - q*h**3.
-2*h*(h + 1)**3/7
Let i be (-1)/(-8)*-4*(3 + -1). Let u(v) = -9*v**2 - 5*v + 2. Let z = 0 + -1. Let c(j) = -j + 1. Let p(r) = i*c(r) + z*u(r). Solve p(g) = 0.
-1, 1/3
Let w = 212 - 134. Let v = w + -232/3. Factor -2/9*r**2 + 0 + v*r.
-2*r*(r - 3)/9
Let k(p) be the third derivative of -p**5/120 + p**4/12 + 5*p**3/12 + 3*p**2. Let k(v) = 0. What is v?
-1, 5
Suppose 0 = -4*r - r + 15. Let l(b) be the first derivative of -3*b - 3*b**2 - b**r - b + 3 + b. Factor l(x).
-3*(x + 1)**2
Let x be 4/(-6) + (-301)/21. Let b be (-42)/x + 3/15. Factor 2/3*a**2 - 2/3*a**4 + 0 - 2/3*a + 2/3*a**b.
-2*a*(a - 1)**2*(a + 1)/3
Let o(s) be the third derivative of -2/9*s**3 + 1/60*s**5 + 1/360*s**6 + 0*s**4 + 0*s - 5*s**2 + 0. Determine i, given that o(i) = 0.
-2, 1
Let m(j) = 25*j**2 + 300*j + 911. Let a(v) = 5*v**2 + 60*v + 182. Let x(h) = 11*a(h) - 2*m(h). Factor x(y).
5*(y + 6)**2
Let h(d) be the second derivative of d**4/18 - d**3/3 + 2*d**2/3 + 9*d. Find l, given that h(l) = 0.
1, 2
Let k(f) = -3*f - 11. Let y be k(-4). What is j in -5/2*j - 1/2*j**3 - y - 2*j**2 = 0?
-2, -1
Let w(k) be the third derivative of 2*k**7/49 - 11*k**6/210 - 8*k**5/105 + 2*k**4/21 + 2*k**2. Let w(f) = 0. What is f?
-2/3, 0, 2/5, 1
Let k be (-8 - (-3560)/450)/((-2)/5). What is v in 1/3*v - 4/9*v**3 + 1/9*v**5 - 2/9 + 0*v**4 + k*v**2 = 0?
-2, -1, 1
Let n(a) be the third derivative of 8*a**7/315 - a**6/10 + 2*a**5/15 - a**4/18 - a**2. Find c, given that n(c) = 0.
0, 1/4, 1
Let u be (-112)/24*(-3)/20. Let l = 11/10 - u. Factor 0*a**2 + 1/5*a**4 - 1/5 + 2/5*a**3 - l*a.
(a - 1)*(a + 1)**3/5
Let -4*j**3 + 2*j - j**4 - 3*j**4 + 6*j + 4*j**2 - 4*j = 0. Calculate j.
-1, 0, 1
Factor 27*r**3 + 5*r**4 + 5*r**5 - 5*r**2 - 57*r**3 + 25*r**3.
5*r**2*(r - 1)*(r + 1)**2
Determine f so that 0 + 2/13*f - 4/13*f**2 = 0.
0, 1/2
Let t = -25 - -29. Let m(r) be the third derivative of 0*r**3 + 1/15*r**t + 7/100*r**6 - 2*r**2 + 0*r + 0 + 3/175*r**7 + 8/75*r**5. Find x, given that m(x) = 0.
-1, -2/3, 0
Suppose 0*f - 11*f = 0. Factor 1/3 + f*t - 1/3*t**2.
-(t - 1)*(t + 1)/3
Find t, given that 2/3 + 2*t**2 - 2*t - 2/3*t**3 = 0.
1
Suppose -6 = g - 5*g - a, 2*g = 4*a + 12. Let -50/7*m - 32/7*m**3 + 6/7 + 16*m**g = 0. Calculate m.
1/4, 3
Let n(j) be the second derivative of 0*j**2 + 3/5*j**5 - 1/3*j**4 + 0 - 2*j**3 - 7*j + 2/15*j**6. Find r such that n(r) = 0.
-3, -1, 0, 1
Let j(m) be the third derivative of m**6/120 - m**4/24 + 3*m**2. Factor j(z).
z*(z - 1)*(z + 1)
Let y(i) be the third derivative of -i**7/2520 - i**6/360 - i**5/120 - i**4/4 + 4*i**2. Let l(w) be the second derivative of y(w). Let l(x) = 0. Calculate x.
-1
Let v be (2/3)/((-8)/(-32)). Let h(c) be the first derivative of -2 - c**2 + 0*c + v*c**3. Find t such that h(t) = 0.
0, 1/4
Let l(c) = c**4 - 4*c**3 + 3*c**2 + c - 1. Let q(u) = u**4 - 4 + 7 - 4 + u**2 - 4*u + 3*u. Let t(j) = 2*l(j) - 6*q(j). Determine i, given that t(i) = 0.
-1, 1
Let x = -97/9 - -11. Factor x*g**3 - 2/9*g + 0 + 0*g**2.
2*g*(g - 1)*(g + 1)/9
Determine n, given that 0*n - 1/7*n**4 - 2/7*n**3 + 0 - 1/7*n**2 = 0.
-1, 0
Let f be ((-6)/90)/((-2)/5). Solve 1/3 - 1/6*d**3 - 1/2*d**2 + 1/6*d**4 + f*d = 0.
-1, 1, 2
Let p be -3*(-1 + ((-85)/60 - -2)). Factor 7/4*s**3 + 1/4*s + p*s**2 + 3/4*s**4 + 0.
s*(s + 1)**2*(3*s + 1)/4
Determine o so that 2*o**2 - 46 - 2*o + 46 - 3*o**2 = 0.
-2, 0
Let z = -134582461/366 - -367709. Let n = 3/122 - z. Suppose 2/3*j**2 - n*j + 8/3 = 0. Calculate j.
2
Let m be ((-3)/9)/(1/(-11) + 0). Let o(z) be the first derivative of z**4 - 2*z + 3 + 5/2*z**2 + m*z**3. Solve o(k) = 0 for k.
-2, -1, 1/4
Suppose 0 = v - 0*v. Let m(p) be the second derivative of v*p**3 - p + 1/12*p**4 + 0*p**2 + 0. Find a such that m(a) = 0.
0
Let y(g) be the first derivative of 2*g**5/5 - 3*g**4/2 + 2*g**3 - g**2 - 2. Determine p, given that y(p) = 0.
0, 1
Suppose 0 - 4 = -2*j. Let m be 0 + (-3)/(6/(-4)). Find f, given that 4*f**2 + 1 + 8*f - 4 - j*f**m + 11 = 0.
-2
Let z be (3 + -2)/(3/6). Let t(q) be the first derivative of 0*q + 2/3*q**3 + z + 0*q**2. Factor t(o).
2*o**2
Suppose -5*t - o + 12 = 0, 2*o + 2 = 2*t + t. Factor -32*j**2 + 3*j - 9 + 3 + 35*j**t.
3*(j - 1)*(j + 2)
Factor 0 + 2/7*s - 2/7*s**2.
-2*s*(s - 1)/7
Factor 16/3*o + 16 - 8/9*o**3 - 44/9*o**2 + 4/9*o**4.
4*(o - 3)**2*(o + 2)**2/9
Let j(h) = h**2 + 4*h + 3. Let c be j(-4). Factor -3*x**2 + 2*x**4 + x + 2*x**c - 3*x**3 - x**2 + 2*x**2.
x*(x - 1)*(x + 1)*(2*x - 1)
Let s(q) be the third derivative of -1/180*q**6 - 1/6*q**4 + 0*q + 1/20*q**5 + 0 - 2*q**2 - 1/3*q**3. Let f(m) be the first derivative of s(m). Factor f(u).
-2*(u - 2)*(u - 1)
Suppose -2/9*y + 2/9 + 2/9*y**3 - 2/9*y**2 = 0. What is y?
-1, 1
Let t be (-3)/(-2) + (-5)/(600/164). Let j(z) be the first derivative of -3 - t*z**3 - 1/10*z**4 + 0*z**2 + 0*z. Factor j(v).
-2*v**2*(v + 1)/5
Factor 68/9 - 58/3*g + 10/9*g**2.
2*(g - 17)*(5*g - 2)/9
Factor 2 + 2*v - 2*v**4 + 2*v**2 + 18*v**3 - 20*v**3 - 2.
-2*v*(v - 1)*(v + 1)**2
Let z(p) be the first derivative of p**5/60 + p**4/36 - p**3/18 - p**2/6 - 6*p + 1. Let j(s) be the first derivative of z(s). Factor j(y).
(y - 1)*(y + 1)**2/3
Let m(c) be the first derivative of 2*c**5/15 - c**4/3 + 2*c**3/9 - 4. Factor m(x).
2*x**2*(x - 1)**2/3
Let q = 26 - 23. What is h in -4*h**2 - 28*h**q + 8*h + 8*h**2 - h - 24*h**4 + h = 0?
-1, -2/3, 0, 1/2
Let m(b) = 4*b**4 - 4*b**3 - 6*b**2 + 8*b + 1. Let x(p) = 3*p**4 - 3*p**3 - 5*p**2 + 7*p. Let k(r) = 2*m(r) - 3*x(r). Let k(z) = 0. Calculate z.
-2, 1
Let y(i) be the first derivative of i**4/14 - 16*i**3/21 + 16*i**2/7 - 4. Suppose y(q) = 0. What is q?
0, 4
Let i(u) = 24*u**2 + 24*u - 6. Let x(v) = -23*v**2 - 25*v + 6. Let w(s) = -4*i(s) - 3*