 Find v such that f(v) = 0.
-1, -2/5
Suppose 9*w - 2*w = 21. Let h(v) be the first derivative of -1 + 5/4*v**2 - 1/2*v - 2/3*v**w. Find d, given that h(d) = 0.
1/4, 1
Suppose 2*t + 4 = -0*t. Let y be (4 - 1)/((-3)/t). What is r in 2*r**3 - y + 0*r**3 - 4*r**2 - 2*r + 6*r**2 = 0?
-1, 1
Let z(j) be the third derivative of -1/40*j**6 + j**2 + 1/20*j**5 + 0*j + 0*j**4 + 0*j**3 + 0. Factor z(n).
-3*n**2*(n - 1)
Let b(h) be the second derivative of 1/300*h**5 + 0 + 0*h**4 - 2*h - 1/30*h**3 - 1/2*h**2. Let g(m) be the first derivative of b(m). Factor g(l).
(l - 1)*(l + 1)/5
Let v(g) be the first derivative of -2*g**3/27 - g**2/9 + 11. Suppose v(m) = 0. What is m?
-1, 0
Let y be ((-20)/80)/((-6)/8). Factor y*z**2 - 1/6*z**3 + 0 + 0*z.
-z**2*(z - 2)/6
Let u(p) be the first derivative of 0*p**3 - 1/9*p**6 + 3 + 0*p + 0*p**2 - 4/15*p**5 - 1/6*p**4. Find m, given that u(m) = 0.
-1, 0
Let m(k) = -k**3 - 6*k**2 - 5*k. Let l(s) = 2*s**3 + 11*s**2 + 9*s. Let p(t) = -6*l(t) - 11*m(t). Let p(v) = 0. Calculate v.
-1, 0, 1
Let y(w) = 2*w**4 + 2*w**3 + 2*w**2 + 2*w + 4. Let p(x) = -2*x**4 - x**3 - x**2 - 2*x - 3. Let c(t) = 4*p(t) + 3*y(t). Factor c(o).
-2*o*(o - 1)**2*(o + 1)
Let s(z) be the first derivative of -3*z**4/2 - 20*z**3/3 - z**2 + 12*z + 2. Find v, given that s(v) = 0.
-3, -1, 2/3
Suppose 4*d = 3*d + 2. Let w(j) be the first derivative of -d*j**2 - 46/5*j**5 - 26/3*j**3 - 27/2*j**4 + 0*j + 1 - 7/3*j**6. What is p in w(p) = 0?
-1, -2/7, 0
Let a = 152 - 759/5. Factor 0*s + 1/5*s**2 - a*s**3 + 0.
-s**2*(s - 1)/5
Let p(d) be the second derivative of 3*d**5/20 - d**4/4 + 13*d. Factor p(h).
3*h**2*(h - 1)
Solve 18/5*d - 2/5 - 6*d**2 - 10*d**3 = 0.
-1, 1/5
Let j be (4/(-6))/(4/(-30)). Solve 2 + 6*g**2 + 0*g**3 + 0 - 3*g**3 + 6*g + j*g**3 = 0 for g.
-1
Let o(t) be the first derivative of t**6/3 - 2*t**5/5 - t**4/2 + 2*t**3/3 + 10. Factor o(i).
2*i**2*(i - 1)**2*(i + 1)
Factor l**3 - l**2 - 5*l**5 - l**5 + 3*l + 4*l**2 - 10*l**3 - 15*l**4.
-3*l*(l + 1)**3*(2*l - 1)
Let v(a) be the second derivative of 0 - 1/4*a**3 + 3/40*a**5 - 1/2*a**2 - 6*a + 1/60*a**6 + 1/24*a**4. Factor v(p).
(p - 1)*(p + 1)**2*(p + 2)/2
Let h(t) be the second derivative of t**7/3360 + t**6/1440 - t**4/4 - 2*t. Let o(k) be the third derivative of h(k). Factor o(z).
z*(3*z + 2)/4
Suppose -4*o - 12 = -40. Solve o - 3*n**4 - 10 + 3 + 3*n**3 = 0 for n.
0, 1
Let g = 111 + -111. What is b in 3/4*b**3 - 1/4*b - 1/2*b**2 + g = 0?
-1/3, 0, 1
Factor 539 + 3*y**2 - 23*y**2 + 35*y - 529.
-5*(y - 2)*(4*y + 1)
Let y(h) be the first derivative of -h**6/6 + h**5 - 5*h**4/2 + 10*h**3/3 - 5*h**2/2 + h - 14. Find c, given that y(c) = 0.
1
Factor 16*t + 4*t**2 - 32*t + 4 + 8 + 4.
4*(t - 2)**2
Let t(h) be the first derivative of -3*h**5/50 - 11*h**4/60 - 2*h**3/15 - 2*h**2 - 4. Let s(o) be the second derivative of t(o). Solve s(i) = 0.
-1, -2/9
Let u(j) be the third derivative of 8*j**2 - 1/12*j**5 + 0*j + 7/120*j**6 - 1/12*j**4 + 0*j**3 + 0. Factor u(k).
k*(k - 1)*(7*k + 2)
Let x(l) be the third derivative of -2*l**7/105 - l**6/15 + l**4/3 + 2*l**3/3 - 7*l**2. Factor x(v).
-4*(v - 1)*(v + 1)**3
Let b(z) be the first derivative of 2*z**3/27 + 4*z**2/9 + 2*z/3 - 35. Factor b(u).
2*(u + 1)*(u + 3)/9
Let j(m) be the first derivative of m**6/60 + m**5/12 + m**4/6 + m**3/6 - m**2 - 2. Let y(l) be the second derivative of j(l). Find q such that y(q) = 0.
-1, -1/2
Let p(k) = k - 4. Let b be p(6). Let t(z) be the first derivative of -1/14*z**4 - 2/21*z**3 + 2/7*z + 1/7*z**b - 2. Solve t(r) = 0.
-1, 1
Let p(w) = w**2. Let t(f) = -2*f**2. Suppose l + 20 = 4*h, -7*l + 2*l = 0. Let n(y) = h*t(y) + 8*p(y). Determine r so that n(r) = 0.
0
Let y(z) = -7*z**2 + 90*z + 24. Let m(w) = -w**2 + 15*w + 4. Let l(x) = 34*m(x) - 6*y(x). Factor l(a).
2*(a - 4)*(4*a + 1)
Let z(r) = r**2 + 7*r. Let x be z(-7). Let f(l) = l + 5. Let m be f(x). Factor 2*g + 4*g - 4 - 3*g - 3*g**2 + m*g.
-(g - 2)*(3*g - 2)
Let v = 38 - 46. Let z be 8/18*(10 + v). Factor -2/3*g**2 + z - 4/9*g**3 + 8/9*g + 2/9*g**4.
2*(g - 2)**2*(g + 1)**2/9
What is g in -15/2*g**3 + 15/2*g - 3/2*g**2 + 0 + 3/2*g**4 = 0?
-1, 0, 1, 5
Let u(i) be the third derivative of -i**6/1080 - i**5/180 - i**3/2 - i**2. Let k(n) be the first derivative of u(n). Factor k(t).
-t*(t + 2)/3
Let o(b) be the third derivative of -b**7/315 + b**5/45 - b**3/9 - 5*b**2. What is d in o(d) = 0?
-1, 1
Let q be 8/(-5)*(-10)/4. Let f be q + -1 + 11/(-4). Solve -1/4*u**3 + f*u**2 + 1/4*u**5 + 0 + 0*u - 1/4*u**4 = 0.
-1, 0, 1
Let t(i) be the second derivative of i**4/4 - i**3/2 + i. Solve t(u) = 0 for u.
0, 1
Let t(v) be the first derivative of -v**5/15 - v**4/12 + v**3/9 + v**2/6 - 2. Factor t(o).
-o*(o - 1)*(o + 1)**2/3
Let u(z) be the first derivative of 0*z + 2 + 1/12*z**3 + 0*z**2 - 1/16*z**4. Solve u(m) = 0.
0, 1
Let h = -14 + 10. Let a(j) = 3*j**2 - j - j - j - 4. Let g(f) = 7*f**2 - 7*f - 9. Let d(n) = h*g(n) + 9*a(n). Factor d(t).
-t*(t - 1)
Let s be 12/((-1)/(8/(-12))). Let m be (3 - 12/s) + 0. What is g in 3/2*g**4 + 0 + 1/2*g**2 - 1/2*g**5 + 0*g - m*g**3 = 0?
0, 1
Let w(i) be the first derivative of -i**6/18 + i**5/15 + i**4/12 - i**3/9 - 4. Factor w(z).
-z**2*(z - 1)**2*(z + 1)/3
Let k(x) = -x**3 - 10*x**2 - 9*x + 6. Let s be k(-9). Suppose i = -2*i + s. Factor -1/2*j - 1 + 1/2*j**i.
(j - 2)*(j + 1)/2
Let m(s) = -7*s**4 - 1 + 1 - 6*s**3. Let b(q) = 15*q**4 + 12*q**3. Let n(k) = 4*b(k) + 9*m(k). Let n(v) = 0. What is v?
-2, 0
Solve 0 - 3/5*b + 3/5*b**2 = 0 for b.
0, 1
Let l(a) be the second derivative of 14*a**6/15 + a**5 - 16*a**4/3 + 8*a**3/3 - 19*a. Suppose l(o) = 0. What is o?
-2, 0, 2/7, 1
Let a(b) = -b**2 - 4*b + 8. Let p be a(-5). Suppose -2*z**p - z**4 - 3*z**4 - 2*z**5 + 0*z**4 = 0. Calculate z.
-1, 0
Let x(o) be the third derivative of -o**6/360 - o**5/90 + o**4/72 + o**3/9 - 2*o**2. Factor x(d).
-(d - 1)*(d + 1)*(d + 2)/3
Suppose 24 - 8 = 4*k. Solve -2/7*p**k + 4/7*p**2 + 4/7*p**3 - 2/7*p - 2/7*p**5 - 2/7 = 0 for p.
-1, 1
Let h be (-28 + -2)*4/(-6). Factor y - 20*y**2 + 2*y**5 - 2 + h*y**3 + 9*y - 21*y**4 + 11*y**4.
2*(y - 1)**5
Let f(l) = -7*l**4 + 9*l**2 - 9*l - 9. Let n(p) = 3*p**4 - 4*p**2 + 4*p + 4. Let d(o) = 4*f(o) + 9*n(o). Find t, given that d(t) = 0.
0
Let o(r) be the third derivative of r**5/390 - r**4/39 + 4*r**3/39 - 5*r**2. Factor o(t).
2*(t - 2)**2/13
Let k = 8 + -11. Let p = k + 6. Factor 0*a**p + 2 - 2*a**2 + a + a**3 + 2*a**3 - 4*a**3.
-(a - 1)*(a + 1)*(a + 2)
Suppose -3*a + 5 = 4*b, -8 + 25 = 4*a - 5*b. Factor 2/7*w - 8/7*w**2 + 8/7*w**a + 0.
2*w*(2*w - 1)**2/7
Let u(z) be the third derivative of z**7/4200 - z**6/1800 + z**3/2 - 2*z**2. Let h(a) be the first derivative of u(a). Factor h(i).
i**2*(i - 1)/5
Let m(g) = g + 2. Let c be m(0). Let d be (-3)/c + 1*2. Suppose -1/2*t + 0 - 1/2*t**4 + 1/2*t**3 + d*t**2 = 0. Calculate t.
-1, 0, 1
Suppose -9*w + 2 + 25 = 0. Solve -1/4*f**2 + 1/4*f - 1/4*f**w + 1/4 = 0 for f.
-1, 1
Let n(d) be the first derivative of -2/3*d + 3 - 2/3*d**3 - d**2 - 1/6*d**4. Factor n(t).
-2*(t + 1)**3/3
Let p(l) = l. Let c(o) = -2*o. Let i(w) = -c(w) - 6*p(w). Let t(x) = -x**2. Let y(n) = i(n) + 2*t(n). Suppose y(f) = 0. Calculate f.
-2, 0
Suppose -3*i = -2*t + 15, -3*t - i - 5 = -0. What is w in 22/3*w**3 + t - 2/3*w - w**4 + w**2 - 20/3*w**5 = 0?
-1, -2/5, 0, 1/4, 1
Let a(d) = d + 1. Let t be a(4). Factor -o + 2*o - 2*o**2 - t*o.
-2*o*(o + 2)
Let s(u) be the third derivative of -u**5/510 + u**4/102 - u**3/51 + 55*u**2. Factor s(t).
-2*(t - 1)**2/17
Let c = -23 - -116/5. Let d(f) be the second derivative of 0 + f**2 - c*f**5 + 0*f**4 + 2/3*f**3 + 2*f - 1/15*f**6. Factor d(r).
-2*(r - 1)*(r + 1)**3
Let v = 3919/3 + -1306. Let r = 7 + -5. Factor -y**3 - 1/3*y - y**r + 0 - v*y**4.
-y*(y + 1)**3/3
Let u(f) = 3*f + 36. Let a be u(-11). Let o(w) be the first derivative of 1/4*w**2 + 1/6*w**a - 2 + 0*w. Solve o(r) = 0.
-1, 0
Let x(c) be the first derivative of 1/2*c**4 - 6 + 0*c + c**2 + 4/3*c**3. Let x(y) = 0. Calculate y.
-1, 0
Let p(h) be the third derivative of -2*h**7/525 + h**6/75 - h**4/15 + 2*h**3/15 + 2*h**2. Let p(w) = 0. Calculate w.
-1, 1
Determine m, given that -16/3*m**4 - 4/3*m + 5*m**5 + 16/3*m**2 + 0 - 11/3*m**3 = 0.
-1, 0, 2/5, 2/3, 1
Let y be (-3)/(-1)*(-20)/(-90). Factor 2*v**2 + 2*v**3 + 2/3*v**4 + y*v + 0.
2*v*(v + 1)**3/3
F