-v**2 + v + 11. Let h be s(-2). What is r in 8/9*r - 4/9*r**3 + 8/9*r**2 + 2/9 - 4/9*r**h - 10/9*r**4 = 0?
-1, -1/2, 1
Let u(i) be the first derivative of -4*i**6/3 + 4*i**5 - 3*i**4 - 4*i**3/3 + 2*i**2 - 12. Factor u(w).
-4*w*(w - 1)**3*(2*w + 1)
Let f(p) be the first derivative of 1/18*p**6 + 1 - 1/6*p**2 - 2/9*p**3 + 2/15*p**5 + 0*p**4 + 0*p. Factor f(n).
n*(n - 1)*(n + 1)**3/3
Factor 10 - 63*j + 68*j - 9*j**3 - 10*j**2 + 4*j**3.
-5*(j - 1)*(j + 1)*(j + 2)
Suppose 0 = 2*v - v - 4*i - 5, -2*i - 1 = v. Let j = v - -2. Solve -4/5*x + 0 - 14/5*x**2 - 2*x**j = 0 for x.
-1, -2/5, 0
Let s be 1/3*(-30)/(-500). Let l(o) be the second derivative of -1/15*o**4 + 0*o**2 - 2*o - 1/15*o**3 - s*o**5 + 0. Factor l(y).
-2*y*(y + 1)**2/5
Factor 0 - 1/4*t**2 - 1/4*t.
-t*(t + 1)/4
What is w in 0*w**4 + 1/4*w**5 - 1/2*w**2 + 0 + 0*w - 3/4*w**3 = 0?
-1, 0, 2
Let t(j) be the first derivative of j**3/5 + 2*j**2/5 + j/5 + 11. Factor t(p).
(p + 1)*(3*p + 1)/5
Suppose 5*m + 2 = 2. Let f(u) be the first derivative of -3 + 1/18*u**4 + m*u**2 - 4/27*u**3 + 0*u. Find t, given that f(t) = 0.
0, 2
Let o(a) be the first derivative of a**6/9 - a**4/2 - 4*a**3/9 - 4. Suppose o(y) = 0. Calculate y.
-1, 0, 2
Let c(r) = 9*r**2 - 7*r + 6. Let q(y) = 10*y**2 - 8*y + 7. Let k(p) = 7*c(p) - 6*q(p). Factor k(m).
m*(3*m - 1)
Let z(p) be the second derivative of p**5/140 - p**4/84 - p**3/42 + p**2/14 + 2*p. Factor z(y).
(y - 1)**2*(y + 1)/7
Let a = 5 + -3. Let p be 4/45 - 2/(-18). Solve -1/5*t**3 - p + 1/5*t**a + 1/5*t = 0 for t.
-1, 1
Let v(m) be the first derivative of 2/3*m**3 + 1/6*m**2 - 3 + 0*m. Factor v(q).
q*(6*q + 1)/3
Let y be (36/(-16))/((-6)/16). Let 29*g**2 - 4 + y + 16*g + 3*g**2 = 0. Calculate g.
-1/4
Let q(i) be the second derivative of i**5/110 - 2*i**4/33 + i**3/11 - 6*i. Find x such that q(x) = 0.
0, 1, 3
Let z = -12 + 14. Suppose 4*j**4 + j**z + 4*j**3 - 6*j**2 - 4*j + j**2 = 0. What is j?
-1, 0, 1
Let i(s) be the first derivative of -s**6/480 - s**5/120 + s**4/96 + s**3/12 + 5*s**2/2 + 4. Let f(p) be the second derivative of i(p). Factor f(u).
-(u - 1)*(u + 1)*(u + 2)/4
Let c be (2/(-14)*-2)/(400/350). Factor 1/4*i**4 - c*i**3 + 0 + 0*i**2 + 0*i.
i**3*(i - 1)/4
Let m be 18/(-27) + (-17)/(-3). Suppose m*q + 0*q = 10. Solve 0 + 0*d + 2/7*d**3 + 0*d**q = 0 for d.
0
Let k(z) = 4*z**3 - 2*z**2 + z. Let b be k(1). Factor 4*n**5 - 12*n**b - 6*n**4 + n**2 - 5*n**5 - 10*n**2 + n**2.
-n**2*(n + 2)**3
Determine b, given that -15/2*b**2 - 3/2*b**3 + 0 + 0*b = 0.
-5, 0
Let g(v) be the third derivative of v**6/1200 - v**5/75 - 3*v**4/80 + 35*v**2. Find z, given that g(z) = 0.
-1, 0, 9
Let g be -1*(-7)/(28/8). Solve 4*q - 4*q - g*q + 2*q**3 = 0.
-1, 0, 1
Suppose 4*k + 2*i = 2, 4*i = -2*k - 3*k - 5. Let l be 4/k*(-2)/(-4). Let -l*b**5 + 2/3*b**2 - 2/3*b**4 + 2/3*b**3 + 0 + 0*b = 0. What is b?
-1, 0, 1
Suppose -2*u - 5*d - 5 = 0, -2*u - 2 = -3*d - 5. Let z(w) be the first derivative of 1/5*w**2 + 1 + 1/10*w**4 + u*w - 4/15*w**3. Factor z(h).
2*h*(h - 1)**2/5
Let m(n) be the second derivative of 5*n**7/273 + 4*n**6/65 + 9*n**5/130 + n**4/39 - 10*n - 3. Suppose m(c) = 0. Calculate c.
-1, -2/5, 0
Let j be (-2)/8 - 2*1/(-8). Let o(u) be the first derivative of 0*u**2 + 2/15*u**3 + j*u - 1/10*u**4 + 1. Factor o(p).
-2*p**2*(p - 1)/5
Let x = -64009/670 - -12/335. Let d = -90 - x. Factor 1 + 15/2*f**2 + 9/2*f + 3/2*f**4 + d*f**3.
(f + 1)**3*(3*f + 2)/2
Let b(f) be the first derivative of -f**3 - 6*f**2 - 12*f - 1. Factor b(w).
-3*(w + 2)**2
Let u(l) = -2*l**2 + 6*l - 4. Suppose 0 = -v - 2*v + 9. Let o(n) = -3 - 4*n**2 + 5 - v*n + 5*n**2. Let k(m) = 11*o(m) + 6*u(m). Factor k(s).
-(s - 2)*(s - 1)
Let w(q) = -2*q**4 + 18*q**3 + 38*q**2 + 36*q + 18. Let l(f) = -f**3 - f**2. Let x(n) = -44*l(n) - 2*w(n). Factor x(r).
4*(r - 3)*(r + 1)**2*(r + 3)
Let s(h) be the third derivative of h**9/3024 + h**8/1680 - h**7/840 - h**6/360 - h**3/6 - 2*h**2. Let p(l) be the first derivative of s(l). Factor p(v).
v**2*(v - 1)*(v + 1)**2
Determine j, given that -7*j - 2*j - 21*j + 45 + 5*j**2 = 0.
3
Let w(y) be the second derivative of y**7/105 + y**6/25 + 3*y**5/50 + y**4/30 - y. Factor w(t).
2*t**2*(t + 1)**3/5
Let s(v) be the first derivative of -4*v**5/5 - 9*v**4/7 - 8*v**3/21 - 40. Let s(w) = 0. What is w?
-1, -2/7, 0
Let y(s) be the first derivative of -s**6/420 + s**4/84 + 5*s**2/2 - 5. Let v(b) be the second derivative of y(b). Factor v(t).
-2*t*(t - 1)*(t + 1)/7
Let h be 10/(-3)*(-3)/2. Factor -8*z**4 + 9*z**h - 2*z**4 - 6*z**3 + 7*z**4.
3*z**3*(z - 1)*(3*z + 2)
Suppose 40 - 10 = 10*u. Determine d so that -16/3*d - 8/3 + 2*d**2 + 6*d**u = 0.
-2/3, 1
Let n = -273/5 + 55. Let l be ((4/(-7))/1)/((-50)/175). Factor 2/5*v**l - 4/5*v + n.
2*(v - 1)**2/5
Factor 0*h + 2/5*h**4 + 12/5*h**3 + 18/5*h**2 + 0.
2*h**2*(h + 3)**2/5
Let d(r) = -56*r**2 - r. Let f be d(1). Let p be (-2)/(-6) - (-19)/f. Factor 0 + 4/3*l**3 - 16/9*l**4 + p*l**2 + 2/3*l**5 - 2/9*l.
2*l*(l - 1)**3*(3*l + 1)/9
Let f(i) = i + 5. Let s be f(-6). Let h be (-5)/15*(-10 - s). Let 2/7*m**h - 2/7 - 6/7*m**2 + 6/7*m = 0. Calculate m.
1
Let x(v) = -1. Let n(s) = -s - 4. Let z(y) = n(y) + 5*x(y). Let l be z(-12). Solve 2/13 - 2/13*u**4 - 4/13*u**l + 0*u**2 + 4/13*u = 0.
-1, 1
Suppose 0 = -4*p - 6 - 2. Let d be (-4)/18*(-4 + p). Find i, given that 2/3 + 2/3*i**2 + d*i = 0.
-1
Let z be (-2)/((1/(-3))/(4/6)). Find n, given that 0 + 2/3*n**3 - 2/3*n - 7/3*n**z + 7/3*n**2 = 0.
-1, 0, 2/7, 1
Let u(i) = -i**2 + 4*i + 5. Let g be u(4). Suppose 4 = 3*f - g. Let 11/2*z**2 - z - 8*z**f + 0 + 7/2*z**4 = 0. What is z?
0, 2/7, 1
Let p(z) be the second derivative of -z**6/40 - 3*z**5/80 + z**4/4 + z**3/2 - z + 2. What is c in p(c) = 0?
-2, -1, 0, 2
Let o(f) be the third derivative of f**5/240 + f**4/12 + 2*f**3/3 + 10*f**2. Find m such that o(m) = 0.
-4
Let q(b) = -b**2 + 7*b - 3. Let w be q(7). Let o = w - -6. Suppose 8*v**o - 2*v**2 + 0*v - 9*v**3 - v = 0. Calculate v.
-1, 0
Let i(j) = -j**2 + 6*j + 9. Let y be i(7). Find v such that -4*v**3 + 2*v**2 - 2*v**y + 2*v**3 + 2*v**2 + 4*v = 0.
-1, 0, 2
Let y = 83 + -411/5. Suppose -14/5*t**4 - 4/5*t + 0 + 14/5*t**2 + y*t**3 = 0. Calculate t.
-1, 0, 2/7, 1
Let q(b) be the second derivative of -b**5/40 - b**4/32 + 3*b**3/16 - b**2/8 - b. What is a in q(a) = 0?
-2, 1/4, 1
Let h(y) = 3*y**3 + 2*y**2 - 2*y + 1. Let u be h(1). Let -g**3 + u*g**2 + 2*g**2 - g**3 - 4*g = 0. What is g?
0, 1, 2
Let p(q) be the first derivative of 1/6*q**6 + 0*q**3 - 1/5*q**5 + 0*q - 1 + 0*q**2 + 0*q**4. Find u such that p(u) = 0.
0, 1
Let 21*w**3 - 8 - 25*w**2 - 4 - 48*w + 10*w**2 = 0. Calculate w.
-1, -2/7, 2
Suppose 0*p + 96 = -2*p. Let w be ((-2)/9)/(4/p). Determine x, given that 16/3*x + 218/3*x**4 - w - 70/3*x**5 + 70/3*x**2 - 226/3*x**3 = 0.
-2/7, 2/5, 1
Let u(k) be the first derivative of 2*k**6/105 - 4*k**5/35 + 4*k**4/21 + 4*k + 1. Let v(o) be the first derivative of u(o). Factor v(g).
4*g**2*(g - 2)**2/7
Let v(x) = -3*x**2 + 4*x - 2. Let w(b) = 9*b**2 - 11*b + 7. Let f(c) = -7*v(c) - 2*w(c). Factor f(i).
3*i*(i - 2)
Let g(c) = c**2 + 6*c - 5. Let d be g(-7). Factor 0*a**4 - 8*a**3 + 4*a**4 + 6*a**d + 2*a**2 - 4*a**2.
4*a**2*(a - 1)**2
Let b(l) be the first derivative of 4*l**3/3 + 14*l**2 + 24*l - 5. Find a such that b(a) = 0.
-6, -1
Let p(y) be the third derivative of y**5/210 + y**4/6 + 7*y**3/3 + 17*y**2. Factor p(h).
2*(h + 7)**2/7
Let u(b) be the third derivative of -b**8/60480 + b**7/2520 - b**6/240 - b**5/60 - 3*b**2. Let x(z) be the third derivative of u(z). Factor x(k).
-(k - 3)**2/3
Let -16*t + 3*t**3 + t**3 + 16*t = 0. Calculate t.
0
Let o(r) = -r**2 + 9*r + 12. Let b be (-2)/12*-4*15. Let v be o(b). Factor -2/7*f**3 + 0 - 2/7*f + 4/7*f**v.
-2*f*(f - 1)**2/7
Let g(h) be the second derivative of h**6/160 - 3*h**5/80 + h**3/2 - 3*h**2/2 - h. Let z(k) be the first derivative of g(k). Factor z(a).
3*(a - 2)**2*(a + 1)/4
Let a(v) be the second derivative of -v**7/210 - 17*v**6/360 - v**5/6 - v**4/6 - v**3/6 - 2*v. Let m(u) be the second derivative of a(u). Factor m(q).
-(q + 2)**2*(4*q + 1)
Let g be 1 + 6/(-15) + 189/35. Let u(p) be the third derivative of 0*p - 1/70*p**7 + 0*p**3 - 3/20*p**5 + 1/8*p**4 + 3/40*p**g + 0 + 2*p**2. Factor u(r).
-3*r*(r - 1)**3
Let i(g) be the third derivative of 7*g**2 + 0*g - 1/40*g**4 + 0 - 