ppose 7*w**4 + 14*w**3 + 0*w + w**h - 2*w + 4*w**2 = 0. What is w?
-1, 0, 1/4
Let f(i) be the third derivative of 6*i**7/35 + 11*i**6/5 + 121*i**5/15 + 14*i**4 + 40*i**3/3 + 15*i**2. Factor f(b).
4*(b + 1)*(b + 5)*(3*b + 2)**2
Let n = 31/7320 - -1/244. Let j(b) be the third derivative of -b**2 + n*b**6 + 0 + 0*b - 1/30*b**5 + 0*b**3 + 1/24*b**4. Let j(g) = 0. Calculate g.
0, 1
Let i be -2*(2 - 8 - -5). Let h(b) be the second derivative of 1/2*b**3 - 3/20*b**5 + 1/4*b**4 - 3/2*b**i + 0 + 4*b. Factor h(l).
-3*(l - 1)**2*(l + 1)
Let d = -661/4 - -166. Let y be (1/(2/(-3)))/(-3). Factor 0 + d*k**2 + y*k + 1/4*k**3.
k*(k + 1)*(k + 2)/4
Let h(d) be the first derivative of -3*d**4/5 + 296*d**3/15 - 192*d**2 + 1152*d/5 + 38. Factor h(a).
-4*(a - 12)**2*(3*a - 2)/5
Solve 6*g**4 - 3*g + 2*g**3 - 4*g**4 - g**2 + g - g**4 = 0 for g.
-2, -1, 0, 1
Factor -16/11*h + 0 - 8/11*h**2 + 4/11*h**3 + 2/11*h**4.
2*h*(h - 2)*(h + 2)**2/11
Let j(g) = -7*g - 27. Let v be j(-6). Let o be 12/(-15)*v/(-18). What is d in 2/3*d**2 - o - d + d**3 = 0?
-1, -2/3, 1
Let 88/13*f + 50/13*f**3 + 140/13*f**2 + 16/13 = 0. What is f?
-2, -2/5
Determine h, given that 0*h + 4/7*h**3 + 0*h**2 + 0 + 2/7*h**4 = 0.
-2, 0
Let f(d) be the second derivative of -3*d**5/20 - d**4/2 - d**3/2 + 12*d. Factor f(l).
-3*l*(l + 1)**2
Suppose 2*j + 2*j = 0. Suppose -4*b + j*b + 12 = 0. Factor 0 + 0*s - 6/7*s**4 - 2/7*s**2 + 2/7*s**5 + 6/7*s**b.
2*s**2*(s - 1)**3/7
Let r be (-4 - 17)*12/14. Let h be (-4)/r + 8/126. Factor 0*s - 2/7*s**2 + h.
-2*(s - 1)*(s + 1)/7
Let h(f) be the second derivative of f**6/45 - 2*f**5/15 + 5*f**4/18 - 2*f**3/9 + 8*f. Factor h(r).
2*r*(r - 2)*(r - 1)**2/3
Let q(j) be the third derivative of -j**6/840 + j**4/168 - 8*j**2. Factor q(p).
-p*(p - 1)*(p + 1)/7
Let n(w) be the third derivative of w**8/10080 + w**7/2520 - w**6/180 - 7*w**5/60 + 2*w**2. Let z(o) be the third derivative of n(o). Factor z(y).
2*(y - 1)*(y + 2)
Let p(z) = 6*z - 21. Let f be p(4). Factor -1/2*i**2 + 0*i + 1/2*i**5 - 1/2*i**f + 1/2*i**4 + 0.
i**2*(i - 1)*(i + 1)**2/2
Let p(l) be the third derivative of 5*l**8/112 + 6*l**7/35 + l**6/10 - 11*l**2. Determine v so that p(v) = 0.
-2, -2/5, 0
Determine z, given that 3*z**2 + 1/4*z**3 + 0 + 9*z = 0.
-6, 0
Let g be (4/6)/((-10)/(-45)). Find p such that g*p - p**3 - 5*p**3 - 3*p**4 + 3 + 3*p = 0.
-1, 1
Let w(q) be the first derivative of 4/7*q**5 - 4/7*q**2 + 4 + 1/7*q**6 - 12/7*q**3 + 16/7*q + 1/14*q**4. Find t such that w(t) = 0.
-2, -1, 2/3, 1
Let m(c) be the third derivative of -c**5/36 + 5*c**4/24 - 5*c**3/9 + 25*c**2. Factor m(o).
-5*(o - 2)*(o - 1)/3
Suppose 0 + 1/4*d**3 + 0*d + 0*d**4 - 1/4*d**5 + 0*d**2 = 0. Calculate d.
-1, 0, 1
Let l(y) = 17*y**3 - 7*y**2 + 3*y + 5. Suppose 0 = -s - 5 - 0. Let x(r) = 18*r**3 - 6*r**2 + 3*r + 6. Let q(a) = s*x(a) + 6*l(a). Let q(b) = 0. Calculate b.
0, 1/2
Let g = -9 + 9. Let m(n) be the third derivative of 0*n - 1/24*n**4 - 2*n**2 + g + 1/60*n**6 + 0*n**5 - 1/336*n**8 + 0*n**7 + 0*n**3. Factor m(j).
-j*(j - 1)**2*(j + 1)**2
Suppose 5 - 3 = 5*i + 4*l, -2*i + 14 = -5*l. What is w in 4*w**4 - 7*w - 5*w**i + 5*w + 2*w**5 + w**2 = 0?
-1, 0, 1
Let t be (-34)/(-6) + (-120)/45. Factor -2/3*p**t + 0 + 0*p**2 + 1/3*p**5 + 0*p - 1/3*p**4.
p**3*(p - 2)*(p + 1)/3
Let a(p) be the first derivative of -1/2*p + 3 + 1/6*p**3 + 0*p**2. Determine g so that a(g) = 0.
-1, 1
Factor -6/7*g**2 + 2/7*g**4 + 2/7*g**3 - 10/7*g - 4/7.
2*(g - 2)*(g + 1)**3/7
Let b(x) be the first derivative of 2*x**3/9 + x**2/3 - 4*x/3 - 7. Factor b(j).
2*(j - 1)*(j + 2)/3
Let i = -65 + 69. Let q(g) be the third derivative of 0 + 0*g**3 + 1/30*g**5 - 1/30*g**6 + 0*g**i + 1/105*g**7 + 0*g - 2*g**2. Suppose q(o) = 0. Calculate o.
0, 1
Let h(t) be the first derivative of 4*t**3/21 + 2*t**2/7 - 12. Factor h(y).
4*y*(y + 1)/7
Let o(k) be the second derivative of k**5/80 - k**3/6 - 32*k + 1. Suppose o(y) = 0. What is y?
-2, 0, 2
Suppose j + 6 = 9. Let l(v) be the third derivative of 1/120*v**5 - 2*v**2 + 0*v**j + 0*v**4 + 0*v - 1/120*v**6 + 0 + 1/420*v**7. Determine t so that l(t) = 0.
0, 1
Let d(x) be the third derivative of x**7/630 + x**6/360 - x**4/24 - 2*x**2. Let r(y) be the second derivative of d(y). Let r(h) = 0. Calculate h.
-1/2, 0
Let q = -2596/5 + 524. Let 2*i**2 + 8/5 + q*i = 0. Calculate i.
-2, -2/5
Suppose -5*c = r - 7 - 18, -5*c = 3*r - 45. Suppose -r = -3*y - 5*h, -3 + 1 = -4*y - h. Solve -w**2 + 0*w**3 + w**4 + w - w**3 + y*w**3 = 0 for w.
-1, 0, 1
Determine b, given that 1/4*b**2 + 4 - 2*b = 0.
4
Factor -3 - 10*x + x + 3*x**2 + 4 + 5.
3*(x - 2)*(x - 1)
Factor -2/13*p**2 + 20/13*p - 50/13.
-2*(p - 5)**2/13
Let f(c) = -10*c**2 - 12*c + 10. Let t(n) = -8*n**2 - 11*n + 9. Let v(l) = -5*f(l) + 6*t(l). Factor v(u).
2*(u - 2)*(u - 1)
Suppose -1/3*g**5 + 0*g + 1/3*g**3 - 2/3*g**2 + 0 + 2/3*g**4 = 0. Calculate g.
-1, 0, 1, 2
Let q(d) be the third derivative of d**8/560 + d**7/140 - d**5/20 - d**4/8 - d**3/2 + 5*d**2. Let k(f) be the first derivative of q(f). Factor k(b).
3*(b - 1)*(b + 1)**3
Let 4*h + 2*h**3 - 46*h**2 + 51*h**2 - h**3 = 0. What is h?
-4, -1, 0
Let i(o) be the second derivative of -o**5/15 - o**4/9 + 6*o. Determine v, given that i(v) = 0.
-1, 0
Let l(z) be the second derivative of -z**7/126 + z**6/9 - 5*z**5/12 - 38*z. Factor l(a).
-a**3*(a - 5)**2/3
Let d(s) be the second derivative of s**6/30 - s**4/4 - s**3/3 - 15*s. Determine a so that d(a) = 0.
-1, 0, 2
Let y(r) be the first derivative of -46*r**3/45 - 2*r**2/15 - 6. Factor y(v).
-2*v*(23*v + 2)/15
Find s such that -4/5*s**2 + 8/5*s + 0 - 4/5*s**3 = 0.
-2, 0, 1
Let a be (1*(-2)/2)/1. Let g be (-7)/(-3) + a/3. Determine d so that 2/3*d**3 + 0 - 4/3*d**g + 2/3*d = 0.
0, 1
Let k(n) = 2*n**2. Let m(x) = -x**3 - x. Let i(r) = -2*k(r) + 2*m(r). Let i(o) = 0. Calculate o.
-1, 0
Suppose -2*c - 6*c + 2*c**2 - 2 + 10 = 0. What is c?
2
Let t(l) be the first derivative of 5*l**4/4 - 20*l**3/3 + 25*l**2/2 - 10*l + 16. What is w in t(w) = 0?
1, 2
Suppose -3*l + 2*l = -3. Solve 4*t**3 - 2*t**2 - t**3 - l*t**3 - 4*t**3 + 4*t + 2*t**4 = 0 for t.
-1, 0, 1, 2
Let f(w) = w**2 + 7*w - 7. Let z be f(-8). Let u(y) be the first derivative of 0*y + 2/3*y**3 + y**2 + z. Solve u(p) = 0 for p.
-1, 0
Factor -1/4*a**4 + 3/2*a**2 + 6 - 3/4*a**3 + 7*a.
-(a - 3)*(a + 2)**3/4
Suppose 12*i = 3*i. Suppose -1/3*l - 1/3*l**3 - 2/3*l**2 + i = 0. Calculate l.
-1, 0
Let d(o) be the second derivative of o**6/165 - 3*o**5/110 - 20*o. Find g such that d(g) = 0.
0, 3
Factor 0 + 3/2*m + 21/4*m**2 + 6*m**3 + 9/4*m**4.
3*m*(m + 1)**2*(3*m + 2)/4
Let o(i) = -3*i**3 + 9*i**2 - 2*i - 4. Let r(v) = 3*v**3 - 9*v**2 + 3*v + 3. Let y(c) = -3*o(c) - 4*r(c). Let y(a) = 0. Calculate a.
0, 1, 2
Let a be (0/((-6)/2))/(-2). Suppose a = 3*g + 2*c - 5, 2*g + 2 = -5*c - 2. Find d, given that 4*d**5 - 7*d**3 - 3*d**2 - d**5 + 9*d**2 - 2*d**g = 0.
-2, 0, 1
Let z = 41 - 39. Factor -1/3*l**3 - 1/3*l + 0 + 2/3*l**z.
-l*(l - 1)**2/3
Let h(v) = -2*v**3 + 28*v**2 - 28*v + 26. Let w be h(13). Factor -6/7*p**4 + 3/7*p - 3/7*p**5 + 0 + 6/7*p**2 + w*p**3.
-3*p*(p - 1)*(p + 1)**3/7
Let j(z) be the first derivative of 2 + 1/9*z**3 + 0*z**4 + 1/2*z**2 + 0*z - 1/90*z**5. Let y(w) be the second derivative of j(w). Factor y(l).
-2*(l - 1)*(l + 1)/3
Let w(h) be the first derivative of h**5/30 + h**4/12 - h**3/18 - h**2/6 - 2. Factor w(f).
f*(f - 1)*(f + 1)*(f + 2)/6
Let a(w) be the second derivative of w**5/2 + 2*w**4/3 + 4*w**3/15 + 24*w. What is j in a(j) = 0?
-2/5, 0
Factor 6*o**2 + 14*o - 4*o**2 - 2*o**3 - 12*o - 2*o**4.
-2*o*(o - 1)*(o + 1)**2
Let w(o) = o**3 + 6*o**2 + o + 8. Let h be w(-6). Factor -4*i**5 + 2*i**4 - 3*i**5 + 5*i**5 - 2*i**2 + 0*i**2 + h*i**3.
-2*i**2*(i - 1)**2*(i + 1)
Factor 0*w + 0*w**4 + 0*w**2 - 1/4*w**3 + 1/4*w**5 + 0.
w**3*(w - 1)*(w + 1)/4
Let p(c) be the second derivative of -c**6/540 - c**5/180 + c**4/18 + c**3/3 - 3*c. Let o(d) be the second derivative of p(d). Factor o(i).
-2*(i - 1)*(i + 2)/3
Suppose 0 = 13*x - 12*x - 2. Determine s so that 0*s**x - s**3 - 1/2 + s + 1/2*s**4 = 0.
-1, 1
Factor -3*n**2 + 10*n**3 + n**4 + 4*n**4 + 0*n**4 + 8*n**2.
5*n**2*(n + 1)**2
Factor 3*t**3 + 14*t**2 - 3*t - 9*t**2 - 8*t**2 - t**4 + 4*t**4.
3*t*(t - 1)*(t + 1)**2
Let g = -546 + 3830/7. Let -4/7 - 2/7*x**3 - g*x**2 - 10/7*x = 0. Calculate x.
-2, -