s g?
0, 1
Let q(i) be the third derivative of 1/70*i**7 - 1/20*i**5 + 1/40*i**6 + 0*i**3 + 0*i - 6*i**2 + 0 - 1/8*i**4. Find x, given that q(x) = 0.
-1, 0, 1
Let v(h) = -h**3 + 6*h**2 + 2. Let x be v(6). Let g(n) be the first derivative of 3 + 0*n**x - 2/3*n**3 + 1/2*n**4 + 0*n. Solve g(f) = 0 for f.
0, 1
Let x be -3 - 7 - (-1 - 1). Let h be (-1)/((-14)/x*-2). Factor h*a - 4/7 - 2/7*a**3 + 4/7*a**2.
-2*(a - 2)*(a - 1)*(a + 1)/7
Suppose -10*i + 90 = 70. Factor 2*x - 5/4*x**i + 1.
-(x - 2)*(5*x + 2)/4
Let l be 1019/(-5)*(-1)/147. Let q = l + 2/147. Factor f**3 + q*f**2 + 2/5*f + 0.
f*(f + 1)*(5*f + 2)/5
Let q be 9 - 5 - (-1)/(-1). Let o(a) = 2*a - 2. Let r be o(q). Solve -5*m**2 + 4 + 14*m - r*m**2 - 9*m**2 = 0 for m.
-2/9, 1
Let h(g) be the first derivative of -2 + 0*g**2 + 2/3*g**3 + 7*g + 11/4*g**4. Let f(s) = 10*s**3 + 2*s**2 + 6. Let r(p) = 7*f(p) - 6*h(p). Factor r(c).
2*c**2*(2*c + 1)
Let y(v) be the second derivative of 1/42*v**4 + 0 - 1/7*v**2 + 1/21*v**3 - 1/70*v**5 + 4*v. What is r in y(r) = 0?
-1, 1
Let s(l) = 2*l**3 - l**2 - 3. Let z(u) be the second derivative of -u**5/20 + u**4/12 + u**2 - 4*u. Suppose k = 6 - 9. Let m(f) = k*z(f) - 2*s(f). Factor m(n).
-n**2*(n + 1)
Suppose -2*v - 32 = -6*v. Let g = v + -4. Find m such that -g + 3*m + 3 + m**2 - 4*m + m**3 = 0.
-1, 1
Let c(k) be the third derivative of -1/1512*k**8 + 1/270*k**5 + 0*k**3 + 3*k**2 + 0*k + 0*k**4 + 1/315*k**7 - 1/180*k**6 + 0. Factor c(y).
-2*y**2*(y - 1)**3/9
Let -20*v**2 - 2*v**4 - 12*v**3 + 12*v**2 - 2*v**4 = 0. Calculate v.
-2, -1, 0
Let v be 1 + (9 - 2) + 0. Suppose v + 7 = 5*u. Factor 1 + 2*y - y**2 - 5 - 2*y**u + 5*y**2.
-2*(y - 2)*(y - 1)*(y + 1)
Let k(x) = -2*x**3 - 6*x**2 + 3*x + 3. Let u(d) = 5*d**3 + 13*d**2 - 7*d - 7. Let y(i) = -14*k(i) - 6*u(i). Find p, given that y(p) = 0.
0, 3
Let d(f) = f**5 + f**4 + f**2 - f + 1. Let c(a) = 3*a**5 + 5*a**4 + 3*a**3 + 3*a**2 - 2*a + 2. Let w(u) = -3*c(u) + 6*d(u). Determine t, given that w(t) = 0.
-1, 0
Let 0 + 14/3*u**2 - 2*u**5 + 4/3*u - 14/3*u**4 + 2/3*u**3 = 0. What is u?
-2, -1, -1/3, 0, 1
Let d(l) = l**2 - 15*l + 15. Let i be d(14). Let m(p) = 3*p**2 + p - 1. Let g be m(i). Factor 7/2*f + 3/2*f**g + 1 + 4*f**2.
(f + 1)**2*(3*f + 2)/2
Let b(i) be the first derivative of -i**3/3 - 3*i**2/2 - 2*i - 3. Factor b(o).
-(o + 1)*(o + 2)
Let f(z) be the second derivative of -1/6*z**4 - 1/3*z**3 - z**2 - z - 1/30*z**5 + 0. Let j(h) be the first derivative of f(h). Factor j(p).
-2*(p + 1)**2
Suppose -k**3 + 0*k + 0 + 1/2*k**2 + 1/2*k**4 = 0. What is k?
0, 1
Let k be -3 + (7 - 1) + -1. Let f(g) = -g + 1. Let i be f(-3). Let 7*n**2 + n**i + 4*n**2 + k - 2*n**2 - 7*n - 5*n**3 = 0. Calculate n.
1, 2
Let r(q) be the first derivative of -12*q**5/35 - q**4/14 + 4*q**3/7 + q**2/7 + 39. Let r(t) = 0. Calculate t.
-1, -1/6, 0, 1
Factor -6/5*r**3 - 3/5 - 2*r - 1/5*r**4 - 12/5*r**2.
-(r + 1)**3*(r + 3)/5
Let v = 4/39 + 50/273. What is o in 0 + v*o**5 - 2/7*o**3 + 0*o + 0*o**4 + 0*o**2 = 0?
-1, 0, 1
Let t(u) be the second derivative of u**4/78 + u**3/13 - 5*u. Factor t(d).
2*d*(d + 3)/13
Let i(s) be the first derivative of 4*s**3/15 + 6*s**2/5 - 7. Factor i(c).
4*c*(c + 3)/5
Factor 1/5*k**3 - 2/5*k + 1/5*k**2 + 0.
k*(k - 1)*(k + 2)/5
Find a, given that -1/4 - 3/4*a + 3/4*a**4 + 1/2*a**3 + 1/4*a**5 - 1/2*a**2 = 0.
-1, 1
Suppose 5*d = -4*h - 17, 0 = h + 4*h - d - 15. Factor -1 + 17*r**h - 15*r**2 + 2*r - r.
(r + 1)*(2*r - 1)
Let k(s) be the second derivative of -s**4/6 + 11*s**3/3 - 6*s. Let k(b) = 0. What is b?
0, 11
Let b(m) be the third derivative of -m**6/1980 + m**5/330 - m**4/132 + m**3/2 + 5*m**2. Let f(w) be the first derivative of b(w). Factor f(z).
-2*(z - 1)**2/11
Let -4*w**3 + 0*w**2 - 2*w**2 - w**2 + 13*w**3 = 0. What is w?
0, 1/3
Let w(j) be the third derivative of 0 + 1/15*j**3 + 1/150*j**6 - 1/30*j**4 + 2*j**2 - 1/525*j**7 + 0*j**5 + 0*j. Factor w(s).
-2*(s - 1)**3*(s + 1)/5
Let f(t) = 3*t**5 - 33*t**4 + 9*t**3 - 9*t - 9. Let c(j) = j**5 - 8*j**4 + 2*j**3 - 2*j - 2. Let s(o) = -9*c(o) + 2*f(o). Factor s(x).
-3*x**4*(x - 2)
Let x be (-2)/((-3 - -5) + -5). Factor 0*j + 0*j**3 - 2/3*j**4 - x + 4/3*j**2.
-2*(j - 1)**2*(j + 1)**2/3
Find v such that -12 - 6 - 5*v**3 + 10*v**2 + 8 + 5*v = 0.
-1, 1, 2
Let z = 50 + -47. Let n(q) be the first derivative of 2 - 1/2*q**2 + 1/4*q**4 + 2*q - 2/3*q**z. Solve n(l) = 0.
-1, 1, 2
Let z(j) = -j**4 - j**3 + j**2 + 1. Let h(y) = -y**4 + y**3 + 2*y**2 - 4*y + 2. Let k(s) = h(s) - 2*z(s). What is x in k(x) = 0?
-2, 0, 1
Let f(v) be the second derivative of -2*v**6/15 - 18*v**5/5 - 36*v**4 - 144*v**3 - 47*v. Factor f(r).
-4*r*(r + 6)**3
Let x(o) = 6*o**5 - 6*o**3 + 3*o**2 - 3*o + 3. Let f(b) = -11*b**5 + b**4 + 11*b**3 - 6*b**2 + 5*b - 5. Let j(u) = 3*f(u) + 5*x(u). Factor j(q).
-3*q**2*(q - 1)**2*(q + 1)
Let c(p) be the first derivative of 0*p**4 + 1/9*p**3 - 1/15*p**5 + 2 + 0*p + 0*p**2. Factor c(g).
-g**2*(g - 1)*(g + 1)/3
Let h(t) be the second derivative of t**7/70 - t**6/20 + t**4/4 - t**3/2 - 3*t**2 - 5*t. Let g(y) be the first derivative of h(y). Factor g(k).
3*(k - 1)**3*(k + 1)
Let l(j) be the second derivative of j**7/840 + j**6/120 + j**5/40 + j**4/24 + 5*j**3/6 - j. Let a(z) be the second derivative of l(z). Factor a(d).
(d + 1)**3
Let v(p) be the third derivative of p**5/45 - p**4/18 + p**2. Factor v(a).
4*a*(a - 1)/3
Let y(i) be the second derivative of 0 + 7/2*i**3 + 9/4*i**4 + 3/4*i**5 + 1/10*i**6 + 3*i**2 + 3*i. Find s, given that y(s) = 0.
-2, -1
Let l(y) be the first derivative of 1/6*y**4 + 0*y + 1/20*y**5 + 0*y**2 + 1/180*y**6 - 1/3*y**3 - 1. Let r(h) be the third derivative of l(h). Factor r(d).
2*(d + 1)*(d + 2)
Suppose -3*r = -8*r + 60. Suppose 0 = 3*u - 12 - r. Factor 0*k**3 - 11*k**3 - 8*k**2 - u*k**4 - 2*k - k**3 - 2*k**5.
-2*k*(k + 1)**4
Let c(s) be the third derivative of s**7/14 - s**6/20 - s**2. What is q in c(q) = 0?
0, 2/5
Factor 0 + 1/6*r**5 + 1/2*r**2 - 1/3*r + 1/6*r**3 - 1/2*r**4.
r*(r - 2)*(r - 1)**2*(r + 1)/6
Suppose 0 = 75*q - 78*q + 6. Factor 0*r - 2/9*r**3 + 0 - 2/9*r**4 + 0*r**q.
-2*r**3*(r + 1)/9
Let v(g) be the first derivative of -g**3/12 - g**2/4 - g/4 + 6. Suppose v(y) = 0. What is y?
-1
Suppose -3*h - 2*u + 17 = 0, -3*h = -0*h - 2*u - 1. Let d be 0/(h*1/3). What is y in d + 0*y + 1/3*y**3 - 1/3*y**5 + 0*y**2 + 0*y**4 = 0?
-1, 0, 1
Let t(g) be the second derivative of 7*g**7/33 + 7*g**6/15 + 16*g**5/55 + 2*g**4/33 + 7*g. Factor t(z).
2*z**2*(z + 1)*(7*z + 2)**2/11
Suppose 18 + 2 = 4*m. Suppose 2*d**2 + d**4 - d**2 - d**3 - 4*d**2 + m*d - 2 = 0. What is d?
-2, 1
Let q(s) = -1 - 2 + 6*s**2 - 1 - 4*s - 15*s**3 + 36*s**3 + 11*s**4. Let z(u) = -u**4 - u - 1. Let f(r) = -q(r) + 4*z(r). Let f(d) = 0. What is d?
-1, -2/5, 0
Let n(m) = -m + 8. Let r be n(11). Let s be r/4*8/(-3). Factor 0 + 1/2*l - 1/2*l**s.
-l*(l - 1)/2
Suppose 6*w - 18 = -0*w. Let h(y) be the third derivative of 1/40*y**6 - y**3 - 1/8*y**4 + 0 + 0*y + 1/10*y**5 + w*y**2. Factor h(x).
3*(x - 1)*(x + 1)*(x + 2)
Let b(r) = 5*r - 1. Let v be b(1). Factor -y**2 - v*y - 1 + 3 + 14*y**3 - 10*y**3 - y**2.
2*(y - 1)*(y + 1)*(2*y - 1)
Let u(x) be the third derivative of -x**6/60 - x**5/20 + x**4/8 + x**3/3 + 14*x**2. Factor u(b).
-(b - 1)*(b + 2)*(2*b + 1)
Let q(z) be the third derivative of 0*z + 0*z**5 - 1/70*z**7 + 0 - 1/40*z**6 + 0*z**3 + 0*z**4 + 3*z**2. Factor q(y).
-3*y**3*(y + 1)
Let p(j) = j**3 + 4*j**2 - 4*j + 5. Let l be p(-5). Determine g, given that 0*g**4 + 4/5*g**3 - 2/5*g - 2/5*g**5 + 0 + l*g**2 = 0.
-1, 0, 1
Let v(b) be the second derivative of b**5/5 - 4*b**4/3 - 22*b**3/3 - 12*b**2 - b - 22. Factor v(y).
4*(y - 6)*(y + 1)**2
Let m(b) be the second derivative of -b**6/15 + b**4/3 - b**2 - 4*b. Factor m(f).
-2*(f - 1)**2*(f + 1)**2
Let u(p) be the first derivative of -p**5/5 - p**4 - p**3 + 2*p**2 + 4*p - 6. Factor u(q).
-(q - 1)*(q + 1)*(q + 2)**2
Let t(a) be the second derivative of a**7/315 - 2*a**6/225 + a**5/150 - a. Factor t(n).
2*n**3*(n - 1)**2/15
Let u(h) be the third derivative of -h**8/6720 - h**7/2520 - h**4/8 + 3*h**2. Let o(j) be the second derivative of u(j). Factor o(b).
-b**2*(b + 1)
Suppose 5*s - 20 = -2*h, s = -3*s + 4*h - 12. Factor 8/5*b**3 + 0 + 6/5*b**s - 2/5*b.
2*b*(b + 1)*(4*b - 1)/5
Let s(d) be the second derivative of 9/20*d**5 + 0 - d - 5/12*d**4 