**2 - 21/2*w + 3 - 15/8*w**4 + 21/8*w**3 = 0. What is w?
-2, 2/5, 1, 2
Let n(q) be the second derivative of q**7/1260 + q**6/180 + q**5/60 + q**4/6 + 2*q. Let s(l) be the third derivative of n(l). Factor s(w).
2*(w + 1)**2
Let c = 11 + -8. Factor 9*h**5 + 6*h - 6*h**c - 6*h**5 - 3*h.
3*h*(h - 1)**2*(h + 1)**2
Let b(l) be the second derivative of 2*l**6/15 + 4*l**5/5 + 4*l**4/3 - 18*l. Determine w, given that b(w) = 0.
-2, 0
Factor -12 + 18*k + 22/9*k**3 - 2/9*k**4 - 10*k**2.
-2*(k - 3)**3*(k - 2)/9
Let u(f) be the first derivative of -f**6/27 - 2*f**5/45 + 2. Factor u(g).
-2*g**4*(g + 1)/9
Let u be 3/(-12)*-2*14. Let 4*t**4 - u*t**3 - 6*t**4 + 5*t**3 = 0. Calculate t.
-1, 0
Let x = 3721/3 - 37139/30. Let v = x + -11/5. Find a, given that 0*a + v*a**3 + 0*a**2 + 0 = 0.
0
Let t(a) = a + 14. Let w be t(-11). Suppose w*g = 5*g - 16. Let 8/3 + g*j - 14/3*j**3 - 6*j**2 = 0. Calculate j.
-2, -2/7, 1
Let h(g) be the second derivative of -g**7/252 + g**6/180 + g**5/120 - g**4/72 + 10*g. Determine s, given that h(s) = 0.
-1, 0, 1
Let h(i) be the second derivative of 2*i + 0*i**2 + 1/10*i**5 + 1/15*i**6 - 1/6*i**4 - 1/3*i**3 + 0. Suppose h(q) = 0. Calculate q.
-1, 0, 1
Let q(f) be the third derivative of -f**6/600 + f**5/50 - 3*f**4/40 - 7*f**2. Let q(r) = 0. What is r?
0, 3
Let q(h) = 29*h**2 + 20*h + 8. Let y(s) = -28*s**2 - 20*s - 7. Let a(t) = 3*q(t) + 4*y(t). Suppose a(r) = 0. Calculate r.
-2/5
Let 7 - 4*v**2 + 16*v + 0 + 1 + 14*v**2 + 2*v**3 = 0. Calculate v.
-2, -1
Let f(i) = -10*i**2 - 14*i - 9. Let t(p) = -p**2 - p - 1. Let h(u) = -4*f(u) + 44*t(u). Factor h(x).
-4*(x - 2)*(x - 1)
Factor 6/7*k - 2/7*k**2 + 0.
-2*k*(k - 3)/7
Let k(a) = a**2 - 7*a + 6. Let r be k(6). Suppose r*t = -4*t. Solve t - 2/7*v**3 + 2/7*v**4 + 0*v**2 + 0*v = 0 for v.
0, 1
Suppose 10/3 - 10/3*a**3 + 5/3*a**2 + 25/3*a = 0. What is a?
-1, -1/2, 2
Let s(d) = -d**2 + d. Let u(c) = c**3 + 11*c**2. Let k(z) = -5*s(z) - u(z). Let a be k(-5). Determine o so that 3*o - o**3 + a*o - 2*o = 0.
-1, 0, 1
Let c = 4 + -4. Let m(j) be the third derivative of 0*j**5 + 0*j + 1/60*j**6 - 1/4*j**4 + 2/3*j**3 + 2*j**2 + c. What is p in m(p) = 0?
-2, 1
Factor 3*j**3 - 4*j**2 + 14*j**2 - 16*j**2.
3*j**2*(j - 2)
Let p be 1 + -2 + -2 + 3. Suppose 3*v + 6 = -3*m, 5*v + 5 + 20 = p. Find t, given that -1/3*t - 2/3*t**2 - 1/3*t**m + 0 = 0.
-1, 0
Let s(y) = y**2 + 1. Let f(j) = -12*j**2 - 8*j - 16. Let v(w) = f(w) + 10*s(w). Factor v(d).
-2*(d + 1)*(d + 3)
Let g(o) be the third derivative of 0 - 1/20*o**5 - 1/4*o**4 + 0*o + 6*o**2 + 0*o**3. Factor g(f).
-3*f*(f + 2)
Let p(c) be the second derivative of c**5/60 - 5*c**4/72 + c**3/9 - c**2/2 - 2*c. Let g(w) be the first derivative of p(w). Factor g(n).
(n - 1)*(3*n - 2)/3
Let d(j) be the second derivative of -1/2*j**2 + 2*j + 1/180*j**6 - 1/36*j**4 + 0 - 1/90*j**5 + 1/9*j**3. Let q(o) be the first derivative of d(o). Factor q(g).
2*(g - 1)**2*(g + 1)/3
Let b(j) be the second derivative of 5*j**4/36 - 10*j**2/3 - 14*j. Factor b(n).
5*(n - 2)*(n + 2)/3
Suppose 0 = -4*v - 0*v + 20. Find n, given that 3*n**2 + 2*n - v*n**2 - 5*n**2 = 0.
0, 2/7
Let a(j) be the first derivative of -2/15*j**3 + 0*j**2 + 0*j + 2/25*j**5 + 1/10*j**4 + 1 - 1/15*j**6. Factor a(v).
-2*v**2*(v - 1)**2*(v + 1)/5
Let z(b) be the second derivative of -15*b**7/28 + 5*b**6/4 + b**5/4 - 35*b**4/12 + 35*b**3/12 - 5*b**2/4 + 6*b. Suppose z(s) = 0. Calculate s.
-1, 1/3, 1
Let k(h) be the first derivative of 7*h**2 - 3 + 8/5*h**5 + 13/2*h**4 + 10*h**3 + 2*h. Factor k(z).
2*(z + 1)**3*(4*z + 1)
Let a = 0 - -3. Suppose -3 = -0*f + 3*f - 3*m, 5*m - 21 = -a*f. Factor -4 - 4*d - 3 + 1 + 4 - 2*d**f.
-2*(d + 1)**2
Factor -3*d**4 + 10*d**4 - 6*d**4 - d**2.
d**2*(d - 1)*(d + 1)
Let o(d) be the first derivative of -1/5*d**5 + 3/8*d**4 + 2 + 1/2*d - 3/4*d**2 + 1/6*d**3. Find i, given that o(i) = 0.
-1, 1/2, 1
Let t(d) = d**2 - 6*d - 12. Let q be t(8). Let l = -4 + 10. Factor q*n**3 - l*n - 2*n**5 + 4*n**5 + 3 + n**4 - 1 - 7*n**4 + 4*n**2.
2*(n - 1)**4*(n + 1)
Solve -23*u + 51*u - 10 + 6*u**2 + 24*u**2 + 27*u = 0.
-2, 1/6
Let r(l) be the second derivative of -3*l**5/80 - 3*l**4/8 - 9*l**3/8 - 3*l**2/2 + 29*l. Determine x so that r(x) = 0.
-4, -1
Let x be 3/1 + 0 + 0. Suppose 2*j + 5*s - 23 = 0, 0 = -j + 2*s - x + 1. Factor 0*u**4 + 3*u**5 - 2*u**3 - j*u**2 + 2*u**4 + 2 + u - 2*u**5.
(u - 1)**2*(u + 1)**2*(u + 2)
Let h(f) be the second derivative of -7*f + 0*f**2 + 0*f**5 + 1/3*f**4 + 0 + 0*f**3 - 2/15*f**6. Factor h(m).
-4*m**2*(m - 1)*(m + 1)
Let q be 4*(-1 + 14/8). Let k = -1 + q. Factor -o**2 - k*o**3 + o**4 - 2*o**3 + 1 - 4*o + 7*o**2.
(o - 1)**4
Find c such that -72*c + 3 + 4*c**2 - 3 - c**3 + 69*c = 0.
0, 1, 3
Factor 0*d**2 - 2/3*d**3 + 0*d + 0 + 8/3*d**4.
2*d**3*(4*d - 1)/3
Let p(q) = -19*q + 22. Let y be p(1). Solve 5/4*k**2 - k**y - 1/2*k + 0 + 1/4*k**4 = 0.
0, 1, 2
Let q(w) be the second derivative of -w**6/360 + w**5/60 - 2*w**3/9 - 2*w**2 - 5*w. Let d(z) be the first derivative of q(z). Factor d(b).
-(b - 2)**2*(b + 1)/3
Suppose 74 - 26 = 4*h. Suppose 3*f - h = -3. Factor 0 - 2/5*t**f - 2/5*t - 4/5*t**2.
-2*t*(t + 1)**2/5
Let f(k) = k**3 - 8*k**2 + 2*k - 4. Let l be f(8). Factor j**2 - 10*j**3 + j - j**4 - 3*j + l*j**3.
-j*(j - 2)*(j - 1)*(j + 1)
Factor 83*t**2 - 165*t**2 + 85*t**2 + 2*t + t**3.
t*(t + 1)*(t + 2)
Let x(p) = p**2 - p. Let k(s) = 14*s**2 - 44*s + 128. Let f(m) = k(m) - 12*x(m). Solve f(r) = 0.
8
Let k(n) be the third derivative of n**5/60 + n**4/24 + n**3/2 + 2*n**2. Let u be k(0). Factor -2/7*t**u + 0*t + 0*t**2 + 0.
-2*t**3/7
Let q(d) = -d**2 + 10*d - 5. Let g be q(9). Let z = 6 - 4. What is l in g*l**z - 4*l**2 - 2*l**2 + 4*l = 0?
0, 2
Let u be 1 + -1 - (-2)/9. Factor -8/9*a + 8/9 + u*a**2.
2*(a - 2)**2/9
Let b = -130 + 132. Factor -4/5*p**3 + 0*p**b + 8/5*p**4 + 0 + 0*p - 3/5*p**5.
-p**3*(p - 2)*(3*p - 2)/5
Let x(i) be the first derivative of 2*i**6/15 - 16*i**5/25 + 4*i**4/5 + 8*i**3/15 - 2*i**2 + 8*i/5 - 2. Let x(m) = 0. What is m?
-1, 1, 2
Let g = 3/7 - 5/28. What is u in -1/4*u**3 - 3/4*u + g + 3/4*u**2 = 0?
1
Let d be 3/((2 + -1)*1). Suppose o**2 + o - d*o - 2*o + 1 + 3 = 0. What is o?
2
Let 3*f**2 + 4 - 2*f**2 - 2*f**2 + 0*f**2 = 0. What is f?
-2, 2
Let h = 3/7 + -29/84. Let m(o) be the second derivative of -h*o**4 - 1/8*o**5 - o + 1/2*o**2 + 5/12*o**3 + 0. Factor m(n).
-(n - 1)*(n + 1)*(5*n + 2)/2
Determine j so that 0 + 1/4*j**3 - 1/4*j**2 - 1/4*j + 1/4*j**4 = 0.
-1, 0, 1
Factor -3*x**5 + 3*x**4 - 4*x**2 + 6*x**3 + 0 - 3*x - 2*x**2 + 3 + 0*x**5.
-3*(x - 1)**3*(x + 1)**2
Let i(d) be the second derivative of -39*d**5/80 - 7*d**4/4 - d**3/2 - 7*d. Let i(n) = 0. What is n?
-2, -2/13, 0
Let u be 2 - (8/(-6) - (-9)/27). Factor -1/4*z**4 + 0 + z**u - 5/4*z**2 + 1/2*z.
-z*(z - 2)*(z - 1)**2/4
Factor -1/4*d**3 - 1/2*d**2 + 0 + 0*d + 1/4*d**4.
d**2*(d - 2)*(d + 1)/4
Solve 8*k + 2/3*k**2 + 24 = 0.
-6
Let d(k) = -k. Let u(y) = -y**2 - 10*y. Let i(m) = 15*d(m) - 3*u(m). Factor i(q).
3*q*(q + 5)
Suppose 2*c + 2*c - 16 = 0. Factor 0*r**2 - 1/3*r**5 + 0 + 0*r + 1/3*r**3 + 0*r**c.
-r**3*(r - 1)*(r + 1)/3
Let h(n) = -10*n**2 + n**2 + n**2 + 1 - n - 3. Let i(s) = -7*s**2 - 3. Let m(r) = -6*h(r) + 7*i(r). Find k such that m(k) = 0.
3
Let m(i) = 4*i + 14 - 4*i**2 - 16*i - 34. Let u(p) = -9*p**2 - 24*p - 41. Let q(l) = -5*m(l) + 2*u(l). Suppose q(o) = 0. Calculate o.
-3
Let p(c) be the second derivative of -9*c**6/40 - 11*c**5/20 - c**4/4 - c**2 - 4*c. Let i(n) be the first derivative of p(n). Suppose i(m) = 0. Calculate m.
-1, -2/9, 0
Suppose 0 = s + 1, -4*c + 2*s + 20 = -2*c. Factor c + 3*l**2 + 12*l + l**2 - l**2.
3*(l + 1)*(l + 3)
Suppose -l - 5 = -0, -4*l - 29 = -3*c. Suppose h**c - 2*h**2 + 2*h**2 + 2*h**2 = 0. Calculate h.
-2, 0
Let p(i) = 5*i + 95. Let a be p(-19). Let t(f) be the first derivative of 0*f**2 + 1/26*f**4 - 2/39*f**3 + 1 + a*f. Determine q so that t(q) = 0.
0, 1
Suppose -2*q + 5*r - 15 = 0, 3*q - r + 13 + 29 = 0. Let y be 2 - (-1)/(q/24). Factor 2/5*s + 4/5*s**2 + 0 - y*s**5 + 0*s**3 - 4/5*s**4.
-2*s*(s - 1)*(s + 1)**3/5
Let l(q) be the first derivative of -q**6/5 - 2*q**5/5 + q**4/5 + 4*q**3/5 + q**2/5 - 2*q/5 - 15. Let l(f) = 0. Calculate f.
-1, 1/3, 1
Let k(d) be the third derivative of 0 - d**2 - 1/33*d**4 - 13/660*d**6 + 0*d**3 + 0*d - 1/1848*d**8 + 2/55*d**5