e of -3*j**6/20 - 2*j**5/5 + 11*j**4/12 - 2*j**3/3 - 3*j**2. What is u in o(u) = 0?
-2, 1/3
Let a = 134 + -803/6. Let m(t) be the second derivative of -1/3*t**3 + a*t**4 - t - 2*t**2 + 0. Factor m(d).
2*(d - 2)*(d + 1)
Let u(p) be the second derivative of 0 - 1/231*p**7 + 0*p**2 + 5*p + 1/55*p**6 + 0*p**3 - 3/110*p**5 + 1/66*p**4. Factor u(i).
-2*i**2*(i - 1)**3/11
Let u(k) be the first derivative of 10 + 1/10*k**2 + 1/15*k**3 + 0*k. Determine w, given that u(w) = 0.
-1, 0
Let k(o) be the third derivative of 0*o**3 + 0*o**4 + 0*o**5 - 1/60*o**6 + 6*o**2 + 0*o - 1/105*o**7 + 0. Factor k(x).
-2*x**3*(x + 1)
Let a(g) be the first derivative of -3*g**5/5 + 3*g**4/4 + 2*g**3 + 4. Suppose a(o) = 0. What is o?
-1, 0, 2
Suppose -24 = 3*d - 11*d. Solve 0*z - 2/7*z**2 + 2/7*z**4 + 0 - 2/7*z**d + 2/7*z**5 = 0.
-1, 0, 1
Suppose 0 = s - 6 - 4. Find u, given that -8 + u**2 - 46*u**3 - 4*u**2 - 4 + 36*u + 15*u**4 + s*u**3 = 0.
-1, 2/5, 1, 2
Factor 0 + 16/5*r - 4/5*r**2.
-4*r*(r - 4)/5
Let n be (5/((-25)/(-6)))/3. Factor -6/5*v - 4/5 + 2/5*v**4 + 6/5*v**3 + n*v**2.
2*(v - 1)*(v + 1)**2*(v + 2)/5
Let w be 33/(-6) + (-2)/(-4). Let x be (-2)/1 + 1 - w. Let -10*v**x - 2*v**3 - v**3 - v**3 = 0. What is v?
-2/5, 0
Solve -2/3*p**2 + 0*p + 0 + 2/3*p**3 = 0 for p.
0, 1
Let f(b) = -b**3 - 5*b**2 + 8*b + 12. Let o be f(-6). Factor -1/3*d**4 + 0*d + o + 0*d**3 + 1/3*d**2.
-d**2*(d - 1)*(d + 1)/3
Find u, given that 0*u**2 + 2/7*u**5 + 0 + 4/7*u**3 + 0*u - 6/7*u**4 = 0.
0, 1, 2
Let j(w) be the first derivative of -20*w**3/3 + 15*w**2/2 + 5*w - 7. Let j(f) = 0. What is f?
-1/4, 1
Let y be 65/14 + (-7)/49. Let t = y + -17/4. Factor -t*q**5 + 1/2*q**3 + 0*q**2 + 0*q**4 - 1/4*q + 0.
-q*(q - 1)**2*(q + 1)**2/4
Let t = 0 + -18. Let d be (t/10)/(3/(-4)). Determine g, given that d*g**2 + 0 - 3*g**3 + 4/5*g - 10*g**4 = 0.
-2/5, 0, 1/2
Let r = 0 + 3. Suppose 12 = r*f - 0. Factor 4*w**5 - f*w**3 + 4*w - 2*w - 2*w**5.
2*w*(w - 1)**2*(w + 1)**2
Factor -18/7*r**5 - 6/7*r**4 + 0*r + 8/7*r**2 + 16/7*r**3 + 0.
-2*r**2*(r - 1)*(3*r + 2)**2/7
Let q(o) be the second derivative of -5*o + 1/18*o**4 + 0 + 1/3*o**2 - 2/9*o**3. Factor q(k).
2*(k - 1)**2/3
Let f be 6/(-9) - (-55)/15. Factor 2*o + o + 1 + f*o**2 - 1.
3*o*(o + 1)
Factor -2/3*o - o**3 - 1/3*o**4 + 5/3*o**2 + 1/3*o**5 + 0.
o*(o - 1)**3*(o + 2)/3
Let c(q) be the third derivative of -q**5/10 - q**4/8 + 3*q**3 - 7*q**2. Solve c(l) = 0 for l.
-2, 3/2
Let h(c) be the first derivative of -c**6/30 - 2*c**5/25 - c**4/20 + 4. Determine u so that h(u) = 0.
-1, 0
Let v(u) = -4*u**4 - u**3 + u**2 - 7*u + 3. Let f(h) = -4*h**4 + 2*h**2 - 6*h + 2. Suppose -6 = -3*j + 3. Let d(y) = j*v(y) - 4*f(y). Factor d(t).
(t - 1)**2*(t + 1)*(4*t + 1)
Let f(c) = 2*c**4 - 10*c**3 - 16*c**2 - 14*c - 10. Let h(p) = p**3 + p**2 + p + 1. Let v(l) = -f(l) - 10*h(l). Let v(z) = 0. Calculate z.
-1, 0, 2
Factor -1/2*b**4 - 3/2*b**2 + 0 - 1/2*b - 3/2*b**3.
-b*(b + 1)**3/2
Let c(s) be the first derivative of s**8/2100 + s**7/420 + s**6/225 + s**5/300 - 5*s**3/3 - 9. Let u(d) be the third derivative of c(d). Factor u(p).
2*p*(p + 1)**2*(2*p + 1)/5
Let w = -27 + 20. Let j be ((-12)/(-21))/(w/(-21)). Determine n so that 3/7 + 9/7*n - j*n**3 + 0*n**2 = 0.
-1/2, 1
Suppose -10 + 0 = -5*t. Factor -5 - 12*j**t + 20*j - 13*j**3 + 1 - 12*j**3 + 5*j**3 + 16*j**4.
4*(j - 1)**2*(j + 1)*(4*j - 1)
Let l be (1/(-3))/((-5)/(0 + 30)). Suppose -1/2 - z - 1/2*z**l = 0. What is z?
-1
Let b be ((-1)/(-2))/((-3)/(-30)). Determine d, given that -b + 0 - 9*d - 9*d**2 - 3*d**3 + 2 = 0.
-1
Suppose 5 = -2*w + 1. Let v be -5*(0 - (-1 - w)). Suppose i**2 - 5*i + i**v - 2*i**4 + i**2 + 4*i = 0. What is i?
-1, 0, 1
Let f(w) = -w**3 + 4*w**2 + 2*w - 2. Let j be f(4). Suppose 0 = -2*i - 4*h + 4, 0 = 3*i - j*i + h - 1. Factor 2/7*p**2 + i - 2/7*p.
2*p*(p - 1)/7
Let s = 26 + 39. Let z be (-6)/(-39) - (-3)/s. Factor z*a**2 - 1/5*a**4 - 1/5*a + 1/5*a**3 + 0.
-a*(a - 1)**2*(a + 1)/5
Let o(f) be the third derivative of f**9/10080 + f**8/4480 + f**4/24 - 2*f**2. Let d(c) be the second derivative of o(c). Factor d(h).
3*h**3*(h + 1)/2
Let w(v) be the first derivative of v**6 - 14*v**5/5 - 3*v**4 - 63. Factor w(m).
2*m**3*(m - 3)*(3*m + 2)
Let g = -21 + 30. Let y be (g/15)/((-36)/(-40)). Factor 0 - y*s**2 + 4/3*s - 2/3*s**3.
-2*s*(s - 1)*(s + 2)/3
Let n = 85/11 - 244/33. Solve -n - 1/9*f**2 + 4/9*f = 0.
1, 3
Let n(t) be the third derivative of 2*t**2 + 0*t + 0 + 0*t**4 - 1/210*t**5 + 0*t**3. Find a, given that n(a) = 0.
0
Find d, given that 9/5*d + 12/5*d**4 + 6*d**3 + 0 + 1/5*d**5 + 28/5*d**2 = 0.
-9, -1, 0
Let t = 190/7 + -27. Let l(m) be the second derivative of 1/14*m**4 + 0 + 1/70*m**5 + t*m**2 + 1/7*m**3 + m. Determine n, given that l(n) = 0.
-1
Factor 0 + 5*i**3 + 5*i**4 + 5/3*i**5 + 5/3*i**2 + 0*i.
5*i**2*(i + 1)**3/3
Let x be (-22)/(-77) - 165/(-35). Solve -1/2*z**2 + 3/4*z**x + 7/4*z**3 - 2*z**4 + 0*z + 0 = 0 for z.
0, 2/3, 1
Let z(s) be the first derivative of 1/18*s**4 + 0*s - 2 + 0*s**2 - 2/27*s**3 - 1/27*s**6 + 2/45*s**5. Factor z(y).
-2*y**2*(y - 1)**2*(y + 1)/9
Let z(b) be the second derivative of 0*b**2 - 3*b - 1/65*b**5 + 0*b**3 + 1/78*b**4 + 0 + 1/195*b**6. Factor z(x).
2*x**2*(x - 1)**2/13
Let t(l) be the third derivative of 1/40*l**5 + 0*l - 1/8*l**4 + 0 - 2*l**2 - 1/224*l**8 - 1/140*l**7 + 0*l**3 + 3/80*l**6. Determine u so that t(u) = 0.
-2, -1, 0, 1
Let q be (-2)/(-10) + (-8)/(-360). Let i(v) be the first derivative of q*v**3 - 3 + 1/3*v**4 + 0*v**2 + 0*v - 2/5*v**5. Determine u, given that i(u) = 0.
-1/3, 0, 1
Let b = -6 + 8. Let t be ((-16)/60)/(b/(-5)). Factor 0 - 2/3*r**3 - t*r - 4/3*r**2.
-2*r*(r + 1)**2/3
Let r(f) = 2*f**3 - f**2 + f + 1. Let h(n) = 6*n**3 - 2*n**2 - 6*n + 2. Let b(j) = -h(j) + 2*r(j). Find v, given that b(v) = 0.
-2, 0, 2
Let n(c) = -c - 1. Let t be n(-6). Let o = t + -3. Find x, given that 0 - 2/11*x**o + 0*x = 0.
0
Factor -20*m + 75*m**3 - 105*m**2 + 24*m + 35*m - 20*m**4 + 26*m - 15.
-5*(m - 1)**3*(4*m - 3)
Let b(d) = -d**2 + 10. Let q be b(0). Suppose -3*m + 4*r - 10 = -2, -m + 5*r = q. Factor 1/2*a**4 + m*a**2 - 1/2 - a**3 + a.
(a - 1)**3*(a + 1)/2
Let m(l) be the second derivative of 0 + 1/100*l**5 - 1/10*l**2 - 1/20*l**4 + 2*l + 1/10*l**3. Suppose m(g) = 0. Calculate g.
1
Let t(m) be the first derivative of m**4/5 + 1. Solve t(a) = 0 for a.
0
Let d(i) be the first derivative of 1/3*i - 1/6*i**2 - 3 - 1/9*i**3 + 1/12*i**4. Factor d(w).
(w - 1)**2*(w + 1)/3
Let l = -273/50 + 11/2. Let k(s) be the first derivative of -2/15*s**3 + 1/10*s**6 + 1 + 3/10*s**2 - 3/10*s**4 + l*s**5 + 1/5*s. What is v in k(v) = 0?
-1, -1/3, 1
Let a(q) be the first derivative of 4*q**3/15 + 8*q**2/5 + 12*q/5 + 1. What is h in a(h) = 0?
-3, -1
Suppose j + 11 = 5*v, 0*v = -3*j + 2*v + 6. Let a be 12/9*6/j. Find p such that -1/4*p + 0 - 1/4*p**a = 0.
-1, 0
Let m(d) be the third derivative of -d**5/10 - 7*d**4/36 + 2*d**3/9 + 3*d**2. Determine u, given that m(u) = 0.
-1, 2/9
Let w(u) be the first derivative of -4*u**3/21 - u**2/7 + 2*u/7 + 8. Factor w(h).
-2*(h + 1)*(2*h - 1)/7
Let b = 4 - 1. Let q(s) = -s - 1. Let d be q(-6). Suppose -2*v**3 - b*v - 2 + v**4 + 1 + d*v = 0. Calculate v.
-1, 1
Let y(k) = 2*k - 3. Let c be y(3). Solve 5*x**2 - c*x**2 - 5*x**2 = 0.
0
Let o(p) = 4*p**3 + 3*p**2 - 4*p + 3. Let m be o(2). Let g be (-9)/3 + m/12. Suppose -1/4*y**2 - g*y + 0 = 0. Calculate y.
-1, 0
Let h = 0 + 2. Suppose -h + 6 = 2*j. Factor -2 + j*m - 1/2*m**2.
-(m - 2)**2/2
Let q(p) be the first derivative of p**5/100 - p**4/30 + p**3/30 - 2*p - 3. Let m(o) be the first derivative of q(o). Factor m(g).
g*(g - 1)**2/5
Let y be (-18)/(-14) + 2 - 3. Let y + 4/7*q**3 - 2/7*q - 2/7*q**5 - 4/7*q**2 + 2/7*q**4 = 0. Calculate q.
-1, 1
Let w(u) be the third derivative of 1/168*u**8 + 1/12*u**4 + 0 + 0*u**3 + 0*u**7 + 0*u - 1/30*u**6 + 0*u**5 - u**2. What is t in w(t) = 0?
-1, 0, 1
Let r(b) be the third derivative of b**5/42 - b**4/7 + 4*b**3/21 + 2*b**2 - 27. Let r(k) = 0. Calculate k.
2/5, 2
Let p(m) be the first derivative of m**7/14 + m**6/5 - m**4/2 - m**3/2 + 3*m + 3. Let n(h) be the first derivative of p(h). Factor n(b).
3*b*(b - 1)*(b + 1)**3
Let m = -367 + 153. Let g = m - -1502/7. Factor -2/7 - g*z + 0*z**2 + 4/7*z**3 + 2/7*z**4.
2*(z - 1)*(z + 1)**3/7
Let o(m) = m**2 - m + 1. Let g(s) = -7*s*